50000
10 9
3 1 1
3 0 2
0 3 3
3 3 3
0 2 0
0 0 1
2 1 3
3 1 2
2 1 2
0 2 1
10 3
2 2 0
2 2 1
0 1 2
1 3 1
1 3 3
3 0 3
3 1 1
1 0 3
2 0 0
1 2 0
10 5
2 1 0
0 2 2
1 3 1
1 2 0
1 0 0
0 3 3
0 0 0
3 1 1
3 3 0
1 1 2
10 7
1 1 0
1 2 0
0 1 2
2 0 0
0 2 1
0 1 0
2 2 1
0 0 1
0 2 2
1 0 1
10 5
3 3 1
0 0 3
1 1 1
3 2 1
2 1 1
0 1 3
2 1 3
0 1 1
3 2 2
1 3 0
10 4
3 0 0
3 1 1
2 3 1
3 0 1
0 3 1
2 3 2
2 3 3
0 1 2
3 2 1
0 1 1
10 8
1 3 2
0 1 1
3 3 1
1 0 2
0 1 3
3 2 3
1 3 0
2 0 1
0 3 0
1 3 1
10 8
2 0 0
1 0 1
2 1 1
1 1 1
1 0 0
1 1 2
1 2 0
2 1 0
0 1 1
2 0 2
10 5
1 0 0
0 0 1
1 2 0
2 1 1
0 0 0
1 0 2
0 2 0
1 2 1
0 2 1
2 0 1
10 3
1 2 1
1 0 2
0 0 2
0 1 2
0 2 1
0 2 0
1 0 0
0 0 1
0 2 2
2 1 1
10 2
2 1 1
2 0 2
0 2 1
1 1 1
1 2 1
0 1 1
1 1 0
1 0 0
1 2 2
1 1 2
10 3
2 0 2
3 2 3
1 2 3
2 2 0
2 1 0
1 2 2
3 3 2
1 0 3
0 1 3
0 1 0
10 4
1 1 2
1 1 0
0 0 2
1 0 0
0 0 0
2 0 2
2 2 1
1 2 2
1 0 2
2 2 0
10 9
0 0 1
0 0 0
0 2 2
0 1 1
1 2 0
2 1 1
1 0 1
2 1 2
0 0 2
1 1 2
10 4
2 2 0
0 2 0
0 1 2
0 0 1
0 0 2
1 1 2
0 2 1
1 2 2
0 0 0
1 2 0
10 8
1 3 0
2 2 2
2 1 1
0 1 3
0 3 1
1 0 2
2 1 2
0 0 2
1 2 0
3 1 3
10 8
2 3 1
2 3 0
2 1 0
0 3 1
1 1 3
2 3 2
2 1 3
1 2 2
3 1 3
0 2 0
10 7
0 3 3
1 3 2
2 0 0
0 2 0
3 1 0
3 3 3
1 2 3
3 1 3
1 1 0
2 3 0
10 5
2 3 0
3 0 1
0 3 3
0 3 2
1 1 2
1 2 0
2 2 1
3 0 2
3 1 3
1 3 2
10 2
0 0 1
3 0 1
0 3 3
2 2 2
3 1 3
0 1 0
3 0 0
1 3 2
2 0 2
0 0 0
10 2
0 1 2
0 0 1
2 0 0
1 2 2
0 2 1
0 1 0
1 1 1
1 0 1
2 2 0
1 1 0
10 5
2 2 1
0 1 1
2 2 2
2 2 0
0 1 2
1 0 2
2 1 0
1 0 1
1 1 1
1 0 0
10 8
2 1 2
1 1 0
0 2 0
2 2 0
2 0 0
2 1 1
1 0 0
0 2 2
2 0 1
0 1 0
10 4
2 2 2
1 2 2
2 0 2
1 1 2
2 2 1
0 2 2
1 1 0
2 0 1
0 2 1
2 2 0
10 3
1 2 3
3 1 0
1 0 1
1 0 0
1 3 0
3 3 2
0 3 2
1 0 3
0 0 1
3 0 2
10 7
0 2 1
1 1 0
2 2 2
2 2 0
0 1 2
1 0 2
0 2 0
1 1 2
2 0 0
0 0 2
10 3
2 1 2
0 2 2
2 0 0
0 0 0
2 2 1
2 0 1
1 1 2
0 2 0
2 2 0
0 0 1
10 5
0 1 1
0 2 0
1 0 2
2 2 1
0 2 2
2 0 2
1 0 1
0 2 1
2 0 0
2 1 2
10 2
3 2 3
3 3 0
1 2 3
2 3 0
1 1 0
3 0 1
1 2 1
0 2 0
1 0 1
1 0 2
10 2
2 0 1
1 1 2
2 1 2
2 2 3
3 3 0
2 0 2
1 0 1
2 2 1
3 2 2
3 3 2
10 7
2 2 0
0 2 2
3 0 0
1 1 2
0 3 3
3 3 1
1 3 1
0 0 0
3 2 0
3 2 2
10 7
2 2 2
2 1 1
2 2 0
0 0 1
1 2 1
2 2 1
2 1 2
1 2 2
0 2 2
1 0 2
10 3
3 3 2
2 1 0
1 0 2
0 3 3
0 0 1
1 2 1
0 1 0
2 3 2
2 2 1
1 2 3
10 4
3 3 1
0 0 3
2 3 2
2 3 1
3 3 2
0 2 3
1 0 2
1 2 1
2 0 0
2 1 2
10 8
2 3 3
3 0 3
0 0 0
2 0 1
1 1 3
3 1 1
0 3 2
3 3 2
1 1 0
1 0 3
10 6
0 3 1
2 0 0
3 0 2
2 2 0
3 1 3
1 3 2
1 3 0
3 0 3
1 3 1
1 1 0
10 7
1 2 1
0 1 1
0 0 1
0 1 2
2 1 0
0 2 1
0 2 2
1 0 1
2 1 2
2 2 1
10 7
3 0 0
0 3 3
2 0 1
2 3 3
1 1 2
1 3 3
0 0 0
3 2 1
1 2 2
2 1 0
10 2
1 3 3
0 3 3
3 3 3
1 3 0
2 3 0
2 2 3
1 0 1
1 2 3
0 0 3
1 2 2
10 8
0 2 2
0 0 0
2 0 0
1 0 0
1 0 2
2 0 2
1 2 2
1 1 2
2 2 1
1 1 0
10 3
1 2 2
0 2 0
3 2 0
1 3 3
2 1 2
3 1 0
1 2 1
3 1 3
1 0 3
2 3 3
10 3
2 0 0
0 1 2
0 2 1
0 1 0
0 1 1
2 0 1
1 0 2
1 2 0
1 2 1
0 2 0
10 3
0 1 1
1 1 2
0 1 0
2 0 0
2 1 1
2 2 2
1 0 1
1 0 2
1 2 1
2 0 2
10 5
0 0 0
2 1 1
2 2 1
1 1 0
2 0 1
0 2 2
0 1 1
0 2 1
1 2 2
2 2 2
10 4
1 2 0
0 2 0
1 1 1
1 1 2
2 1 1
2 1 2
2 2 1
0 2 1
1 0 0
1 0 2
10 5
2 2 3
3 3 3
1 1 1
3 1 3
1 2 0
0 3 0
1 1 3
2 1 0
3 2 0
0 3 1
10 8
0 2 2
1 0 1
1 1 2
1 1 1
1 1 0
0 2 0
0 2 1
0 1 1
0 0 1
2 1 0
10 4
2 2 3
2 0 1
1 1 3
1 2 1
3 2 2
0 1 1
1 3 0
1 0 2
2 3 2
2 1 0
10 8
3 3 3
0 1 1
0 3 2
2 3 0
2 2 1
3 0 2
2 0 0
1 0 1
1 2 1
2 1 0
10 9
1 2 1
0 0 1
1 0 1
0 2 0
0 0 2
1 1 1
0 2 2
1 2 0
2 0 0
0 0 0
10 5
0 2 0
3 1 1
0 0 1
1 3 2
3 1 2
1 1 3
3 3 3
3 0 3
3 0 2
1 0 0
10 5
1 2 2
2 1 2
2 2 0
2 1 1
0 0 0
2 2 2
1 1 0
1 1 2
2 2 1
1 2 1
10 2
0 3 0
0 0 3
2 1 1
2 0 2
3 1 1
3 2 3
0 1 0
2 2 3
1 0 2
1 3 3
10 6
1 2 2
0 2 1
0 1 0
0 1 1
2 0 0
0 0 1
1 0 0
0 1 2
2 0 2
2 1 0
10 9
3 0 0
0 0 2
0 2 3
1 0 0
1 0 2
2 0 0
0 2 2
3 2 2
3 1 3
2 0 1
10 3
1 1 1
3 3 0
2 2 3
0 1 3
1 1 0
1 0 3
2 2 1
2 0 1
0 0 2
1 2 2
10 9
2 2 0
0 2 1
2 0 2
0 0 1
1 1 0
1 0 1
0 1 0
0 1 1
1 1 2
1 1 1
10 8
2 0 0
2 1 0
1 3 2
1 0 3
1 0 1
1 0 0
0 1 0
3 3 2
1 2 3
0 0 0
10 5
1 0 1
1 2 3
0 1 0
2 0 2
2 3 2
2 1 3
2 2 3
2 2 0
0 3 1
0 2 2
10 3
0 0 0
0 1 0
0 0 1
0 1 2
1 0 0
2 0 2
0 0 2
0 2 1
1 2 1
0 1 1
10 3
1 3 0
0 1 0
0 0 2
1 0 2
3 2 3
3 1 2
3 1 1
2 2 3
1 3 1
1 3 3
10 2
0 0 2
1 2 1
2 2 1
1 2 2
2 2 2
0 2 1
2 0 2
0 1 2
0 1 1
1 0 0
10 5
2 3 2
1 1 3
0 0 0
2 0 3
2 3 3
0 1 0
2 1 1
0 0 3
0 3 1
2 1 3
10 7
1 1 0
3 2 2
1 2 2
3 1 1
3 2 1
1 3 3
3 3 1
3 2 3
0 0 0
2 3 2
10 7
1 3 3
3 3 0
0 2 3
1 1 2
1 2 2
0 3 1
3 3 2
3 1 1
0 3 0
0 0 0
10 6
2 1 2
0 0 3
3 3 2
0 3 2
3 0 3
0 1 1
1 1 3
3 0 0
2 0 0
1 3 2
10 9
1 1 2
1 2 1
2 2 0
1 1 0
0 0 0
1 0 0
0 0 1
2 1 1
0 2 1
0 0 2
10 9
2 0 0
3 3 1
3 3 3
2 0 2
3 0 2
1 3 1
3 1 2
3 3 0
0 2 0
2 3 2
10 4
2 2 1
0 0 2
0 2 0
1 1 2
1 2 2
2 2 0
2 1 2
0 2 1
2 0 2
1 1 0
10 2
1 0 0
0 2 1
1 1 0
1 0 1
1 2 1
0 1 0
1 1 2
2 0 0
0 0 0
2 2 0
10 2
1 1 2
2 3 0
1 0 0
1 3 3
0 0 2
3 2 0
0 2 1
0 0 3
3 0 0
3 2 1
10 2
3 0 0
2 3 1
0 1 2
3 3 1
1 0 0
0 2 1
0 0 3
0 1 1
3 3 2
2 1 2
10 3
0 1 2
0 0 1
2 0 1
1 1 1
0 2 1
1 1 2
1 2 1
2 0 2
2 1 1
1 0 2
10 9
1 0 0
1 2 0
2 2 2
0 2 2
0 0 2
2 1 1
0 1 0
0 1 1
2 0 1
2 0 0
10 9
1 1 3
3 2 2
0 1 0
2 1 3
1 1 2
1 0 1
1 0 2
3 0 2
0 2 2
3 2 3
10 2
0 1 1
0 0 2
0 1 0
0 2 0
0 0 0
1 0 0
2 2 1
2 0 0
1 2 0
1 2 2
10 3
1 1 3
3 2 3
3 3 1
3 2 2
2 1 3
1 0 2
1 0 1
0 2 2
3 2 1
1 2 0
10 7
3 0 1
3 2 0
2 0 1
0 1 3
3 1 0
2 2 1
3 1 3
0 3 1
2 1 3
0 0 0
10 2
3 2 0
1 1 2
3 3 1
3 0 0
3 1 0
1 2 1
0 3 0
3 3 0
2 0 2
3 1 1
10 8
0 1 2
0 1 0
0 2 0
1 2 2
2 0 2
0 2 1
0 1 1
0 0 2
1 0 1
2 1 0
10 5
1 1 0
2 0 1
1 0 1
1 2 0
1 2 1
0 2 2
2 1 0
2 2 2
0 1 2
0 0 2
10 4
3 3 0
2 3 2
2 2 2
0 2 3
1 3 0
2 0 2
3 2 1
3 0 2
2 2 0
3 1 0
10 6
1 2 0
3 2 0
2 3 2
3 0 1
1 0 2
3 0 0
0 1 0
2 1 1
2 0 0
0 1 3
10 2
0 1 1
3 3 0
3 1 2
2 1 0
2 3 2
3 1 0
2 1 3
2 1 2
2 3 1
1 2 3
10 9
2 2 2
1 0 0
0 2 1
1 1 2
2 1 2
1 0 2
2 0 0
0 0 2
2 2 0
2 2 1
10 2
0 1 0
2 2 1
1 2 3
1 3 1
1 3 2
3 0 3
3 1 2
3 3 3
2 3 2
1 1 0
10 4
3 2 3
1 0 0
0 1 2
2 3 2
3 0 1
3 3 0
2 2 1
2 0 3
0 2 0
2 1 0
10 8
1 2 2
0 0 1
2 1 1
2 2 0
1 0 1
1 1 0
2 0 0
0 2 1
1 2 0
2 1 2
10 3
2 0 2
3 3 0
3 3 3
1 1 3
3 2 1
1 2 1
1 2 0
0 3 3
2 2 0
2 3 0
10 3
2 1 3
3 1 1
0 2 2
0 0 1
1 3 0
0 3 3
1 1 3
1 3 1
2 0 1
2 3 3
10 4
3 0 2
3 1 3
3 3 1
1 0 1
0 1 2
0 3 1
2 3 3
1 0 0
2 3 1
0 3 0
10 7
0 2 1
0 0 1
1 0 0
1 2 2
2 2 2
0 2 2
2 2 1
2 1 2
0 0 0
0 1 1
10 4
3 3 2
0 0 3
0 3 2
2 3 3
0 0 1
2 2 3
1 2 0
2 1 3
1 2 2
3 0 0
10 6
2 2 2
2 0 0
1 1 1
1 1 2
2 0 1
0 0 1
0 2 0
0 2 2
2 1 0
2 0 2
10 7
2 2 0
2 2 1
2 1 2
1 1 1
1 0 2
0 1 0
0 1 1
0 0 2
1 2 1
2 1 0
10 8
1 1 1
2 1 2
2 2 1
0 2 0
2 0 0
0 0 1
0 0 0
1 1 2
0 2 1
2 1 0
10 4
1 1 2
2 2 1
0 1 0
0 0 1
1 2 0
2 1 1
2 0 1
2 1 0
1 2 1
0 0 2
10 9
1 2 2
2 2 1
2 1 1
2 0 2
0 2 0
0 1 1
1 0 2
1 0 0
0 2 1
0 0 1
10 2
2 1 2
1 1 1
1 0 1
0 1 2
0 0 1
0 0 0
1 0 2
2 0 2
2 0 1
1 2 1
10 2
0 2 0
0 0 0
3 0 2
2 3 2
2 0 3
2 2 2
2 1 3
3 2 3
3 3 2
1 0 1
10 8
1 1 0
1 1 2
0 0 1
2 1 2
2 0 1
2 2 2
2 2 0
0 2 2
1 2 0
2 1 0
10 6
3 2 0
0 1 2
1 2 2
0 3 0
0 1 0
3 1 2
1 0 0
1 1 1
2 1 3
1 2 3
10 9
1 0 2
0 2 1
0 1 0
2 2 1
1 2 2
1 0 0
2 0 1
2 1 2
2 2 0
1 2 0
10 4
3 0 1
3 0 3
3 2 2
1 1 2
0 1 2
0 1 1
2 0 2
1 2 2
2 0 1
0 1 0
10 6
0 0 0
2 1 0
1 0 0
0 0 1
2 1 1
1 0 2
1 0 1
2 0 0
0 2 0
0 1 1
10 7
1 1 3
0 1 2
0 3 3
3 3 3
3 3 0
0 0 2
2 2 3
2 1 1
1 1 2
3 2 2
10 9
1 0 0
2 2 2
0 2 1
2 2 0
1 0 2
2 0 2
0 1 1
0 0 2
1 2 1
1 0 1
10 4
1 3 0
1 0 1
0 0 2
2 1 3
3 0 0
1 2 3
3 1 1
0 2 3
2 3 3
3 2 3
10 9
1 0 2
2 2 2
2 1 2
1 0 1
2 1 1
0 2 1
1 1 1
2 0 1
2 2 1
0 0 2
10 3
0 1 1
1 1 0
1 0 1
2 1 0
0 2 2
0 2 0
2 0 1
1 0 2
0 0 0
0 0 1
10 7
3 0 1
1 0 1
0 0 2
0 3 1
1 1 3
0 3 2
1 0 3
1 2 0
2 0 3
3 0 2
10 7
2 0 1
1 2 1
0 0 2
1 2 0
0 2 2
0 2 0
1 1 1
0 1 1
2 1 0
0 0 0
10 9
1 3 1
0 1 3
3 3 2
2 3 2
2 2 0
3 1 0
1 1 3
1 3 2
1 2 1
1 1 0
10 3
2 0 2
0 2 1
1 1 1
1 0 1
1 2 2
1 2 0
1 2 1
2 2 1
0 1 2
1 0 0
10 8
2 0 3
3 0 0
3 2 2
1 0 3
2 1 3
3 1 1
1 1 2
3 0 3
2 2 0
0 1 2
10 5
2 2 1
1 0 1
1 1 1
0 0 0
2 0 1
2 1 0
0 1 2
1 2 1
2 1 2
2 1 1
10 8
3 1 2
0 0 3
2 3 3
0 1 2
3 2 2
3 1 0
2 3 2
2 1 2
1 0 0
0 3 2
10 7
2 0 2
2 2 2
0 0 0
1 0 1
2 2 0
1 2 0
1 0 2
1 1 2
1 2 1
0 1 1
10 3
1 0 2
0 2 3
3 3 0
3 2 1
0 2 2
0 1 1
1 2 1
1 1 2
1 3 0
0 3 0
10 9
1 2 1
0 1 1
1 1 0
2 0 2
2 2 1
2 2 2
1 2 2
2 2 0
0 0 0
1 2 0
10 3
1 0 0
1 1 1
1 1 2
2 1 0
0 1 0
0 0 2
0 2 0
1 2 2
2 1 1
1 0 1
10 5
0 1 0
0 1 1
2 0 3
3 3 2
0 3 1
3 0 1
0 2 2
1 0 2
1 1 3
1 0 0
10 4
2 0 2
1 2 2
0 1 0
0 2 2
1 1 2
2 2 1
2 1 1
1 2 1
1 1 0
0 0 1
10 7
1 0 0
1 0 1
0 2 0
2 1 1
1 2 2
2 2 0
2 1 2
2 0 1
1 1 2
1 1 1
10 5
0 0 1
1 3 0
0 3 1
3 0 0
2 2 1
2 1 2
3 3 1
2 1 0
3 3 0
0 1 1
10 5
1 1 3
2 2 1
1 3 2
1 0 0
0 0 1
3 0 0
0 0 2
2 2 2
3 1 0
3 1 2
10 7
1 1 1
0 1 1
1 0 1
2 1 2
1 2 0
2 2 2
0 0 0
1 2 2
0 0 2
0 1 0
10 8
3 0 1
2 1 0
1 1 3
1 1 2
2 0 0
2 2 3
2 3 0
2 0 1
0 0 2
2 0 2
10 3
0 0 1
0 2 2
0 1 2
2 1 3
2 1 1
0 3 3
0 1 0
2 2 0
1 0 0
3 3 3
10 2
0 0 0
1 1 0
2 1 0
0 1 0
2 2 0
2 0 0
2 2 2
0 0 1
0 2 2
0 1 2
10 3
1 1 2
2 1 1
1 2 2
2 1 2
1 2 1
2 0 2
1 0 1
2 0 0
0 2 1
1 1 0
10 3
0 1 1
1 1 1
2 2 1
0 0 2
1 1 0
1 0 2
0 2 0
2 2 2
2 1 2
2 0 2
10 9
3 1 1
1 1 0
2 2 1
2 1 0
2 2 3
0 2 0
3 2 3
3 2 1
0 0 2
3 0 2
10 4
3 0 0
1 0 2
1 2 1
1 1 3
3 3 2
3 3 0
0 3 0
3 2 1
2 2 3
2 1 1
10 2
2 0 1
3 0 1
3 1 3
0 0 0
3 3 0
0 1 1
3 0 0
2 2 3
3 0 3
1 1 1
10 3
0 0 2
1 0 1
1 2 0
0 2 0
2 0 0
1 0 2
0 1 2
0 0 1
2 0 2
2 0 1
10 7
0 1 2
1 3 2
0 2 0
2 1 3
1 2 3
0 3 0
1 0 1
1 3 1
0 3 2
0 3 3
10 5
1 1 2
1 0 2
0 3 1
0 3 3
3 0 1
0 1 1
2 0 3
1 0 1
1 2 0
3 2 2
10 7
0 2 2
1 3 1
0 2 1
1 3 2
0 3 1
3 1 1
2 1 2
2 2 3
1 3 3
1 0 2
10 2
1 2 0
2 0 2
2 3 0
1 1 0
3 2 2
0 2 0
0 1 2
2 1 3
1 0 0
0 3 1
10 4
1 1 0
3 1 1
0 0 3
3 1 0
0 0 0
2 0 0
3 0 1
2 3 0
2 2 3
0 1 3
10 5
3 1 3
3 2 0
0 0 0
3 3 3
3 2 3
1 0 0
2 1 1
0 0 1
3 0 0
2 1 2
10 6
3 1 3
1 3 2
2 3 1
0 0 3
1 2 0
0 1 1
0 0 2
0 3 1
2 1 2
1 3 0
10 6
1 1 0
3 1 3
1 3 2
0 1 1
0 3 2
0 1 2
2 2 2
1 0 3
1 0 2
3 2 0
10 4
2 1 1
2 2 0
1 2 1
0 1 2
0 0 2
1 1 2
2 1 2
1 1 0
1 0 2
2 0 0
10 7
1 2 0
1 1 1
0 1 0
1 2 1
0 2 1
2 2 1
2 1 2
1 1 2
2 0 1
2 1 1
10 2
0 0 0
1 1 2
1 2 0
2 1 1
0 1 2
2 0 0
0 0 1
0 1 0
1 0 2
2 0 1
10 7
0 2 2
2 2 1
1 2 0
1 1 0
0 0 2
1 0 2
2 0 1
2 0 2
2 2 2
2 2 0
10 4
2 1 3
3 1 2
3 2 2
2 3 3
0 0 1
1 0 0
0 2 3
0 3 1
2 3 2
2 2 1
10 8
0 1 1
1 0 1
2 2 2
2 1 1
0 0 1
2 0 0
2 2 0
1 2 0
0 1 2
1 0 2
10 4
0 0 0
2 2 2
0 0 1
2 0 1
2 0 2
2 0 0
1 1 2
1 1 1
1 2 2
0 0 2
10 9
0 2 1
0 3 1
3 0 3
2 0 3
1 1 3
1 2 0
1 3 1
3 0 2
1 2 3
0 1 2
10 2
2 1 1
1 0 1
0 1 0
1 2 0
0 0 1
2 2 2
1 1 0
0 2 2
2 0 0
1 2 2
10 7
1 2 1
0 2 1
0 0 1
0 0 2
1 2 2
2 0 2
2 2 0
0 2 0
2 1 1
2 1 2
10 5
0 0 1
2 0 0
3 2 2
3 0 0
2 1 0
1 1 0
1 1 3
1 3 3
2 3 0
2 3 1
10 4
2 1 0
0 3 3
0 3 1
3 1 1
3 1 3
0 2 3
0 2 1
1 0 0
1 2 1
0 2 0
10 3
2 0 2
2 0 1
2 1 1
0 0 2
0 1 1
1 0 0
0 0 1
1 2 0
2 2 1
2 1 0
10 3
2 0 3
3 3 3
2 2 2
0 2 3
2 2 3
2 0 1
3 0 3
1 1 1
3 2 2
2 1 0
10 2
2 1 0
1 0 2
1 1 0
1 2 2
2 2 1
0 0 0
2 1 1
1 0 0
0 1 2
0 1 1
10 9
2 0 2
3 0 3
0 1 3
3 1 2
3 0 1
1 1 2
0 2 2
2 1 1
1 3 3
3 0 0
10 5
2 1 1
1 0 3
1 2 2
3 3 2
3 0 2
0 0 1
0 1 1
0 2 1
3 1 1
0 1 0
10 7
1 2 3
2 3 0
0 2 1
2 1 0
0 3 0
2 3 1
2 2 0
3 3 1
3 2 3
1 2 2
10 8
0 0 1
2 0 1
0 1 2
2 0 2
1 0 0
2 1 1
2 0 0
0 0 2
1 0 2
1 0 1
10 4
1 2 3
0 1 3
3 2 1
3 1 3
3 2 0
1 3 0
0 0 1
2 2 1
3 1 0
3 1 2
10 6
1 3 1
1 0 2
2 3 2
2 0 0
1 1 2
3 1 0
2 2 0
2 2 3
3 1 2
3 1 3
10 7
1 2 1
1 0 2
1 1 2
2 2 2
0 0 2
1 0 1
0 1 0
0 2 1
1 0 0
2 1 1
10 2
2 2 3
2 3 3
1 1 3
1 2 2
2 2 0
2 0 3
2 3 2
2 0 2
0 3 3
1 0 1
10 5
2 1 0
0 2 0
2 2 2
0 2 2
0 1 0
1 2 1
2 1 2
0 2 1
1 1 2
1 0 1
10 7
2 0 2
0 2 2
1 1 2
1 2 1
1 2 0
1 1 1
2 1 1
0 1 1
0 1 0
0 1 2
10 7
2 2 1
2 2 2
0 1 1
0 0 1
2 0 1
1 1 0
0 1 2
2 1 0
0 2 2
1 2 0
10 8
2 3 2
3 0 3
2 0 2
0 0 0
1 2 2
3 2 2
3 1 0
1 1 2
3 0 2
1 3 0
10 7
0 1 1
1 1 2
1 2 1
2 0 0
1 1 0
0 1 2
2 0 1
1 2 0
1 2 2
0 2 2
10 8
2 0 2
2 3 1
2 2 2
3 1 2
1 1 0
2 1 3
2 0 1
1 1 3
0 2 1
2 1 2
10 7
0 1 2
1 2 1
2 0 0
1 1 0
2 1 2
2 2 0
1 2 2
0 0 2
1 0 0
1 2 0
10 4
3 0 2
1 2 0
3 3 3
3 0 0
1 1 0
3 0 1
1 3 1
2 2 1
3 2 0
0 0 0
10 2
2 2 0
3 0 2
3 1 0
1 3 1
0 2 1
1 2 0
3 0 0
1 0 3
0 3 1
1 2 1
10 5
2 1 0
2 0 3
3 2 2
1 3 1
0 1 2
0 1 3
0 3 2
1 0 0
1 3 2
3 2 1
10 4
0 0 1
1 1 1
2 0 2
2 2 1
1 2 0
0 1 0
2 1 0
2 2 2
2 1 1
1 1 2
10 6
2 1 0
1 1 1
0 0 0
0 0 1
1 1 0
0 2 2
1 0 0
1 2 1
1 0 1
0 1 0
10 4
0 0 0
0 2 2
3 2 0
1 1 2
2 3 1
2 1 2
0 3 3
3 0 3
2 0 2
0 1 2
10 3
1 2 1
0 0 0
0 0 2
2 0 2
1 2 2
0 0 1
2 2 2
1 1 2
0 2 1
2 0 1
10 5
1 2 0
2 2 2
2 0 2
0 1 0
2 2 1
0 2 0
0 2 2
0 1 1
0 2 1
0 0 2
10 9
2 2 2
3 0 0
1 0 1
1 1 1
1 0 0
2 0 1
2 3 1
2 1 0
0 1 3
1 2 3
10 9
1 0 2
2 2 1
1 0 0
2 1 2
0 2 1
1 2 1
2 0 2
0 2 0
2 0 0
0 0 1
10 2
1 0 1
3 3 2
1 3 1
2 0 2
3 3 1
0 2 3
2 1 0
1 0 3
2 2 1
2 3 1
10 4
2 2 2
2 2 3
2 3 1
2 0 0
0 0 2
0 3 1
0 1 2
3 2 2
0 1 3
1 1 3
10 4
2 2 3
3 0 0
2 1 1
1 1 0
1 1 1
3 0 3
1 2 3
2 1 2
2 3 1
1 3 1
10 5
1 2 3
2 0 2
1 2 1
0 1 0
3 1 2
0 3 2
1 1 1
0 3 3
2 1 2
3 0 2
10 3
2 2 2
0 2 0
3 0 3
2 3 0
2 0 0
0 3 3
2 2 1
1 2 1
3 2 2
1 3 1
10 9
2 0 2
0 0 0
0 1 2
2 0 0
0 1 0
1 1 0
0 2 1
1 1 1
0 0 2
2 2 0
10 3
1 1 3
2 2 0
3 2 3
3 2 1
1 2 1
0 3 2
0 0 0
1 3 3
2 2 3
0 2 0
10 8
2 0 1
2 1 3
0 0 2
0 3 3
3 1 0
2 1 2
2 3 0
0 2 2
3 3 2
0 0 0
10 2
1 1 0
3 1 0
2 0 1
1 3 0
1 2 2
3 0 0
0 2 1
2 1 0
3 3 3
3 3 2
10 5
2 0 2
1 0 2
0 0 1
1 2 2
2 2 1
0 2 1
2 2 2
1 1 1
1 0 1
0 0 2
10 4
0 1 2
1 0 2
0 2 1
0 0 2
2 2 2
0 1 1
2 1 1
0 2 0
0 0 0
2 0 2
10 4
0 0 2
0 0 0
2 2 2
1 1 2
0 2 2
1 2 2
2 0 1
2 2 0
3 2 3
1 3 1
10 7
1 0 0
0 0 1
2 0 3
1 2 2
3 3 2
3 0 3
3 1 3
3 0 0
1 2 0
1 3 0
10 7
2 1 0
1 1 2
2 2 2
2 0 2
1 1 1
2 0 0
0 0 2
2 1 1
1 1 0
1 2 1
10 2
1 0 1
2 0 0
0 2 2
2 2 0
0 1 0
0 1 1
0 1 2
1 0 2
1 1 1
1 2 1
10 5
0 2 2
2 1 0
1 2 2
2 0 2
0 1 0
1 1 2
2 1 2
1 1 1
0 0 2
1 0 0
10 5
2 1 2
3 1 3
2 0 3
0 3 0
1 2 2
0 1 1
2 2 2
3 1 0
2 2 3
3 3 1
10 6
0 2 1
1 0 1
2 2 1
2 2 2
0 0 1
2 0 2
1 0 2
0 0 0
1 1 2
2 0 0
10 5
2 2 1
2 0 2
2 1 2
1 0 0
0 1 0
1 1 0
1 2 2
0 1 2
0 2 1
0 0 1
10 6
0 1 3
2 2 1
1 0 2
0 3 0
2 1 3
2 0 1
1 2 3
1 1 3
1 0 3
3 0 3
10 3
2 1 0
0 0 0
1 2 1
3 2 0
2 3 1
1 3 2
1 2 2
2 0 2
1 2 0
3 2 1
10 9
3 3 1
3 3 3
0 3 1
3 2 0
3 0 2
3 1 3
1 2 3
2 0 2
0 1 0
0 0 0
10 9
1 0 1
3 3 2
1 1 1
2 1 3
0 1 2
1 3 3
1 1 3
2 0 0
2 2 3
3 2 1
10 6
1 3 3
2 1 1
3 2 0
0 3 0
3 3 3
0 0 3
0 0 0
2 0 1
3 1 2
2 3 3
10 3
2 3 0
0 1 2
2 3 3
1 3 1
3 0 1
0 3 1
1 1 2
2 1 2
0 2 3
2 2 0
10 2
2 2 2
0 1 2
0 1 1
1 1 2
0 1 0
3 3 1
3 1 3
3 1 2
3 0 0
1 3 3
10 4
1 2 1
2 0 0
0 1 0
1 1 1
1 1 2
1 0 0
1 0 1
2 2 0
0 2 2
1 2 0
10 5
3 3 0
3 1 2
1 2 3
0 3 2
3 2 1
2 1 2
2 0 3
2 2 0
2 2 2
0 3 0
10 7
0 1 2
2 1 2
1 2 2
2 1 0
2 2 0
0 0 1
0 0 2
0 2 0
1 2 0
1 1 2
10 6
3 1 2
3 1 3
3 0 0
0 1 2
1 0 0
0 3 1
2 1 2
0 1 0
0 3 3
1 1 1
10 5
0 2 1
2 1 0
1 2 1
0 1 2
0 1 0
1 1 2
2 1 1
1 1 0
1 0 1
0 0 2
10 6
1 2 0
0 0 1
2 1 0
0 2 1
2 2 1
2 0 0
0 0 0
0 1 1
0 1 2
2 0 1
10 6
2 0 2
1 0 2
2 0 3
0 1 3
0 2 3
1 0 0
0 0 3
3 2 0
0 3 2
3 2 2
10 4
0 1 2
2 2 0
2 0 1
0 1 0
2 2 2
2 1 2
0 0 2
0 2 2
0 2 0
0 2 1
10 7
2 1 1
1 0 1
0 1 0
1 2 0
2 0 1
0 0 0
1 2 1
1 1 0
2 0 2
0 1 1
10 4
1 1 1
2 0 0
2 2 0
0 0 2
1 2 2
0 1 0
0 0 0
2 1 0
0 2 0
0 2 2
10 6
0 1 0
1 1 2
0 0 1
2 0 2
2 2 0
2 0 0
0 1 2
1 0 1
0 2 1
1 1 0
10 4
1 2 2
0 1 1
2 1 0
1 0 0
1 1 2
0 0 0
2 1 2
0 0 1
1 0 1
2 2 0
10 3
2 1 2
0 1 0
1 2 2
1 0 1
2 2 1
2 1 1
1 2 1
0 0 2
2 0 0
0 0 0
10 5
0 0 2
2 0 0
0 1 0
2 2 1
1 0 0
2 1 2
1 2 1
1 2 0
1 0 2
0 0 0
10 6
2 1 0
1 0 0
0 1 1
2 0 1
0 2 0
0 1 2
2 1 2
2 2 0
2 0 0
0 0 1
10 8
3 3 2
3 1 0
3 3 0
0 0 1
1 0 2
1 3 3
1 3 0
2 2 2
3 2 1
2 1 0
10 3
0 0 1
3 2 2
2 2 1
3 1 3
3 1 1
0 3 0
1 2 1
2 2 0
3 3 3
0 1 0
10 3
0 0 2
2 2 0
2 1 0
2 1 1
1 1 2
1 1 0
2 1 2
2 0 2
1 2 2
2 0 1
10 2
0 0 0
2 2 0
1 1 0
2 0 2
1 2 2
0 2 0
1 1 2
1 0 0
1 0 1
0 1 2
10 4
0 1 1
1 0 1
2 1 2
2 2 0
1 2 2
1 1 1
2 2 2
2 0 2
0 2 0
2 2 1
10 7
2 2 3
3 0 1
0 1 2
3 0 3
1 0 3
1 0 2
0 0 2
1 2 2
2 2 1
1 3 0
10 4
0 3 2
0 2 0
2 3 3
1 3 2
0 0 0
3 0 2
0 0 3
0 3 0
1 1 0
0 2 3
10 3
0 2 1
0 0 3
1 0 1
3 3 0
3 0 0
1 1 3
3 1 0
2 2 0
2 1 3
0 2 2
10 4
0 2 1
2 1 1
2 2 1
0 0 0
0 1 2
1 2 0
2 2 2
1 1 2
0 1 0
1 2 2
10 3
3 1 0
1 3 3
3 2 0
0 3 2
1 3 1
2 2 1
3 0 2
1 2 1
3 0 0
0 0 2
10 5
2 2 1
2 3 2
1 0 2
2 1 1
1 3 1
2 3 1
0 2 3
3 3 3
2 3 0
3 1 2
10 3
0 0 2
1 0 0
3 1 0
0 2 3
3 1 1
0 1 3
1 2 2
3 3 0
0 0 1
2 2 1
10 6
3 0 2
2 3 3
0 1 1
2 1 1
3 1 1
0 2 2
3 3 3
2 0 1
1 1 0
2 2 1
10 6
1 1 3
1 3 0
1 0 3
1 0 0
3 1 1
0 1 3
0 1 1
0 2 1
3 2 3
3 2 2
10 9
0 2 2
0 0 0
2 2 0
0 1 0
0 1 1
0 0 1
2 0 2
2 1 2
1 2 2
0 2 0
10 3
2 2 2
0 0 0
0 1 0
0 0 1
1 2 0
2 0 0
2 1 1
1 0 2
2 0 2
1 2 1
10 6
2 2 3
3 3 1
1 0 1
1 0 2
0 3 2
0 1 3
1 1 2
2 2 1
1 3 2
0 1 0
10 2
0 1 2
0 0 1
0 0 2
1 1 2
0 1 1
0 0 0
2 1 0
1 1 1
0 2 0
2 1 2
10 4
0 1 0
0 3 2
3 2 3
1 3 0
1 1 0
1 0 3
0 1 3
0 0 0
0 0 2
3 1 3
10 6
0 2 1
3 2 1
2 0 3
1 3 2
2 0 0
0 3 0
0 3 2
3 3 1
3 3 2
2 3 3
10 2
3 1 2
2 0 1
0 2 2
3 1 0
1 1 1
0 1 1
2 2 0
3 2 1
1 0 2
1 2 1
10 9
2 2 1
3 0 0
3 3 0
0 2 0
3 1 1
0 2 3
2 1 0
2 3 2
0 0 2
3 2 2
10 8
1 2 1
1 2 2
0 1 1
0 0 2
2 0 2
1 1 2
1 1 0
0 1 2
2 1 2
0 1 0
10 8
0 0 1
0 2 2
1 1 0
2 0 1
2 1 2
1 1 1
1 1 2
0 1 0
1 2 0
2 0 2
10 6
0 0 0
2 0 2
3 0 0
2 1 3
1 1 1
1 0 2
0 3 2
2 1 0
0 1 3
0 1 0
10 4
2 3 2
1 2 0
3 1 3
3 0 3
3 3 0
0 1 3
0 2 0
0 0 3
2 3 0
3 2 0
10 8
3 3 0
2 3 1
2 0 0
2 3 3
1 0 1
0 2 0
0 3 1
0 1 1
3 2 2
0 0 1
10 8
0 2 0
0 0 0
0 1 0
2 0 2
0 1 2
2 2 2
2 0 1
2 1 1
0 0 2
2 1 2
10 9
2 1 2
1 1 1
1 0 0
0 1 0
2 0 0
0 1 2
2 2 0
2 0 1
2 2 1
1 0 2
10 7
0 0 1
1 2 0
2 0 1
1 0 0
2 2 1
1 0 1
0 0 0
2 1 1
1 1 0
0 1 0
10 4
1 2 2
0 2 2
1 0 2
0 1 2
1 1 0
1 0 1
2 1 0
2 2 2
1 1 2
2 0 1
10 4
2 0 2
1 0 0
1 2 1
2 2 0
0 2 2
2 1 0
1 2 2
2 2 1
1 1 0
2 1 2
10 3
1 0 0
2 0 1
0 1 1
2 2 1
2 2 2
1 1 1
0 1 2
1 2 0
1 0 2
1 2 1
10 6
2 0 0
1 0 2
2 2 0
0 2 0
0 0 0
0 2 2
0 1 2
2 1 1
1 1 2
2 2 1
10 3
0 1 1
1 2 1
2 2 2
2 1 1
1 0 2
2 2 1
1 1 1
0 2 2
0 1 2
0 0 2
10 9
1 2 2
1 2 0
2 0 2
2 2 1
0 2 2
1 0 1
2 1 2
1 1 1
2 0 0
2 2 2
10 3
1 1 2
1 0 2
1 2 2
1 0 0
0 1 0
2 2 0
2 0 0
1 2 0
1 0 1
0 1 2
10 6
1 2 1
1 2 0
2 1 1
0 1 0
0 1 1
0 2 2
2 0 1
1 1 1
0 2 1
2 1 2
10 6
0 1 0
0 0 2
1 0 0
2 0 1
1 2 2
0 0 0
1 1 2
0 2 0
1 2 1
2 2 0
10 9
1 3 3
0 0 0
3 0 1
0 2 2
3 1 1
0 3 3
3 0 2
0 0 3
3 0 0
3 3 0
10 6
3 1 2
1 0 2
0 2 1
1 1 2
2 2 3
2 1 0
1 3 3
2 3 0
2 2 0
0 1 1
10 2
1 1 1
2 2 0
0 1 0
1 2 1
1 1 0
0 2 2
2 0 0
0 0 0
2 1 2
2 2 1
10 4
1 0 2
0 2 2
0 1 2
1 0 1
2 1 0
0 0 2
2 2 2
1 2 2
0 2 1
2 0 0
10 3
0 2 0
1 1 2
1 1 1
1 0 2
2 0 2
0 0 1
2 2 1
1 0 1
2 2 0
1 2 1
10 7
2 3 2
3 0 1
2 1 2
3 0 0
3 1 0
2 1 0
2 0 0
0 2 1
1 1 1
0 1 0
10 4
2 0 3
3 2 1
0 0 3
1 3 1
2 3 2
2 3 3
0 3 3
2 0 0
0 2 1
1 1 2
10 6
3 3 2
2 2 1
2 0 3
0 3 3
0 1 3
1 3 0
3 1 1
3 3 1
2 0 1
1 0 1
10 8
2 1 2
2 2 0
2 2 1
1 2 0
1 0 0
2 0 2
1 1 1
1 0 1
1 1 0
2 1 0
10 5
0 0 2
0 0 1
0 1 0
1 0 1
2 2 2
2 2 1
2 2 0
2 1 0
0 2 2
0 2 1
10 7
0 0 2
2 1 0
0 2 2
1 1 1
0 0 1
2 0 1
1 1 2
1 1 0
2 0 0
0 1 1
10 6
1 3 2
0 3 0
1 0 2
3 1 0
3 3 1
0 2 3
2 0 1
1 0 3
0 0 2
1 2 1
10 3
1 0 1
3 0 2
3 3 0
2 1 1
0 3 2
3 2 1
1 1 3
1 1 0
0 0 1
3 0 0
10 3
3 1 3
2 2 3
2 0 0
1 3 3
1 0 3
0 3 2
3 0 3
2 2 1
0 0 1
0 1 1
10 3
0 0 2
0 2 2
1 1 0
0 1 1
0 2 0
2 2 0
2 2 1
1 0 1
2 1 2
0 1 0
10 2
1 1 0
1 0 3
1 1 3
1 2 2
0 1 3
2 0 3
2 1 0
1 0 2
1 0 0
0 2 1
10 3
2 1 2
2 2 2
2 0 1
3 2 2
1 0 0
3 3 0
2 1 3
2 3 0
1 3 2
3 3 1
10 7
0 2 1
2 0 1
0 1 2
0 2 0
0 1 1
1 0 2
0 0 1
2 0 0
0 0 0
2 2 1
10 9
2 2 1
1 1 0
2 1 0
0 1 0
2 2 2
1 2 1
0 2 0
1 1 2
2 0 2
1 2 2
10 4
1 2 2
1 2 0
2 0 1
0 0 2
1 2 1
2 0 0
0 2 1
2 2 1
2 2 0
1 1 0
10 9
0 0 1
1 0 1
1 1 1
1 0 0
0 2 2
0 1 1
2 2 2
2 0 1
0 1 2
2 2 0
10 4
3 1 3
3 1 2
2 2 3
0 3 0
0 0 2
2 2 0
2 1 1
2 3 2
1 0 1
1 0 2
10 2
1 3 1
2 0 1
2 3 2
0 2 0
2 3 3
2 3 1
3 2 2
0 3 1
1 2 2
0 1 2
10 3
0 2 3
2 2 0
0 1 2
3 1 0
2 1 0
3 3 0
0 2 0
0 1 3
0 0 2
0 2 2
10 3
1 2 1
3 1 1
3 0 1
2 2 0
0 3 2
3 1 3
2 1 3
2 2 1
0 3 3
0 0 1
10 4
0 0 2
1 0 2
2 0 0
1 1 1
2 0 2
0 1 1
2 0 1
0 0 0
0 2 0
2 2 1
10 5
1 2 0
1 0 0
1 0 2
2 0 2
1 1 1
1 1 0
1 0 1
2 1 1
0 2 1
1 1 2
10 4
1 1 1
3 3 3
1 0 1
3 1 0
2 3 2
2 1 3
2 2 3
0 2 3
1 0 2
3 1 1
10 6
1 1 2
3 0 2
0 2 3
2 3 0
3 0 3
3 3 0
0 3 3
1 3 1
3 0 1
2 3 3
10 3
2 1 1
1 0 1
2 0 1
1 1 2
0 0 2
0 0 1
2 2 0
2 0 2
0 2 0
0 1 0
10 6
3 1 0
1 0 3
0 1 3
3 2 3
2 1 2
1 0 0
2 1 0
1 3 0
3 2 0
1 0 1
10 7
2 0 1
2 2 0
3 3 2
1 3 1
0 2 2
0 1 2
1 1 3
0 2 0
2 3 1
0 1 3
10 4
0 0 2
2 0 1
2 0 0
1 2 0
0 1 2
2 2 0
2 1 0
1 0 0
2 2 2
2 0 2
10 4
1 1 0
1 2 1
0 1 1
2 1 0
0 2 0
2 0 1
2 2 1
2 2 2
1 0 2
1 2 2
10 3
0 1 0
0 3 2
3 1 3
0 2 2
0 3 1
0 2 1
1 3 3
0 0 2
0 1 1
3 3 3
10 2
1 2 0
2 3 2
3 2 2
1 0 1
2 1 2
1 2 2
1 3 2
1 0 3
1 2 1
1 3 3
10 8
0 2 0
2 0 3
1 2 1
3 2 1
3 2 2
3 2 3
3 0 3
3 3 2
0 2 1
0 2 2
10 3
0 2 2
1 3 3
0 3 3
1 2 3
2 3 0
1 3 1
1 0 1
0 0 1
3 3 0
1 0 3
10 9
2 1 2
2 0 0
0 2 0
2 1 0
0 2 2
1 2 1
2 0 2
1 1 1
2 2 0
0 1 0
10 6
2 0 0
3 0 2
1 2 0
1 0 3
0 0 2
1 0 1
0 1 0
2 3 0
1 1 2
0 2 3
10 3
2 1 0
2 1 1
0 0 1
1 2 1
0 1 1
2 0 2
2 0 1
1 2 0
1 0 2
2 0 0
10 4
3 1 0
3 2 1
1 2 0
2 3 1
2 2 2
0 2 1
1 3 3
2 0 0
1 2 1
3 0 0
10 3
0 1 2
0 0 1
1 0 0
2 1 0
0 2 2
2 1 1
1 1 0
1 2 2
1 1 1
2 0 2
10 2
1 1 0
2 2 1
2 0 0
1 0 0
2 1 0
0 2 2
1 0 1
2 2 2
0 1 0
0 0 2
10 7
0 0 1
2 0 1
0 1 0
1 1 1
2 0 2
2 1 1
1 2 2
2 1 2
0 0 0
0 0 2
10 7
0 2 1
1 1 1
0 2 2
1 0 1
1 0 0
2 1 1
2 1 0
2 1 2
0 1 0
1 2 2
10 7
0 3 2
1 1 2
2 0 0
1 3 0
3 2 2
1 3 3
2 3 2
0 0 2
0 1 2
0 0 3
10 7
0 1 1
0 0 1
0 0 2
1 0 1
0 2 0
2 1 1
0 1 2
0 0 0
0 1 0
1 2 1
10 6
1 3 3
1 3 0
2 3 1
1 3 2
3 0 1
3 0 2
2 0 3
2 3 2
0 3 3
1 1 2
10 9
3 3 1
3 0 0
2 3 3
3 3 3
1 1 0
0 0 2
1 2 0
1 1 2
2 2 1
3 3 0
10 7
2 2 1
2 0 2
1 0 1
2 1 2
1 2 2
0 2 1
1 1 1
1 1 2
1 2 1
0 1 0
10 4
0 2 2
1 3 2
1 0 0
2 2 1
2 3 3
2 1 2
1 1 3
1 2 2
2 2 3
0 3 0
10 9
3 2 2
0 1 3
1 3 3
0 0 2
2 1 2
3 3 2
2 3 2
2 2 2
1 3 0
2 3 3
10 2
3 3 3
3 0 3
0 2 1
2 0 3
3 2 3
1 3 3
1 0 2
3 1 3
0 3 2
0 3 0
10 6
0 2 0
2 0 2
1 1 0
2 1 0
1 2 1
1 0 1
1 0 2
1 2 2
2 2 1
2 1 2
10 8
1 0 0
3 0 3
3 0 1
1 1 0
0 0 0
1 1 1
2 1 3
3 1 1
2 0 0
1 2 0
10 9
0 1 2
3 2 1
1 0 1
0 3 2
0 0 1
3 3 0
2 2 1
3 0 0
1 2 2
3 2 2
10 3
2 2 0
1 2 0
0 2 2
0 2 0
2 0 2
0 1 2
1 1 0
1 2 2
1 2 1
1 0 2
10 7
1 0 3
1 2 0
3 1 1
2 0 2
0 3 2
0 1 2
1 0 0
1 2 1
2 0 1
3 2 0
10 2
1 2 1
0 1 2
2 1 2
2 0 1
0 0 1
1 2 2
0 0 2
2 2 2
1 0 1
0 2 1
10 8
1 1 0
0 1 2
1 3 3
0 2 1
3 0 3
0 3 1
2 2 2
2 1 3
0 0 1
3 3 2
10 2
1 0 0
1 2 1
1 1 0
0 1 0
1 0 2
1 2 0
2 1 0
2 1 1
0 1 1
0 2 0
10 4
0 0 0
0 3 2
2 0 0
2 3 2
1 0 0
0 0 2
2 1 1
1 1 0
0 2 3
2 2 0
10 8
1 0 1
2 1 1
0 1 1
2 0 2
2 2 1
2 2 2
1 1 1
0 1 0
0 1 2
1 1 0
10 2
2 1 2
1 0 2
2 2 1
2 1 0
1 2 2
0 1 0
1 1 3
1 1 1
3 2 2
2 0 0
10 5
3 3 0
3 3 1
1 0 0
2 0 2
2 3 0
2 0 0
1 0 3
1 3 2
0 3 3
0 2 3
10 3
1 3 2
2 2 1
2 2 2
2 0 0
1 1 3
3 3 1
1 0 0
1 1 2
3 1 3
1 2 1
10 9
2 0 1
0 1 0
0 0 2
2 2 0
2 2 1
1 2 0
0 2 0
0 0 1
0 2 1
0 1 1
10 4
3 2 0
0 0 2
1 0 2
1 2 3
0 0 1
2 2 1
0 1 3
0 0 3
3 3 3
2 0 2
10 2
0 2 0
1 2 2
1 0 0
2 2 2
1 2 1
0 0 2
2 2 1
2 1 1
1 0 2
2 0 0
10 2
1 1 1
0 2 1
1 2 0
0 0 1
2 1 0
2 2 2
2 1 1
0 0 2
2 0 1
2 2 0
10 2
1 2 2
1 0 2
2 2 1
0 2 1
1 1 0
1 0 0
1 2 1
2 2 2
2 1 0
0 0 0
10 9
3 3 1
1 1 3
0 0 3
2 2 3
1 3 3
1 2 3
2 1 1
2 3 2
1 0 0
1 1 0
10 9
2 1 2
0 3 2
3 2 2
1 3 2
1 0 0
3 2 1
1 2 2
1 0 2
3 3 3
2 0 0
10 7
1 1 0
3 2 1
3 1 2
3 2 0
2 0 1
0 1 0
0 0 1
0 1 1
2 3 2
1 2 3
10 2
0 2 0
0 2 2
0 2 3
2 0 2
1 0 2
1 2 3
0 3 3
1 3 1
3 2 0
2 3 2
10 9
0 3 1
0 1 0
2 2 1
1 2 0
1 2 1
2 1 1
1 0 1
3 3 2
2 1 2
1 0 3
10 3
0 0 0
2 0 0
1 1 1
1 1 2
2 0 1
0 2 0
0 1 1
1 2 1
0 0 2
0 1 0
10 4
1 1 0
0 1 0
0 0 0
1 2 0
2 0 2
2 0 1
0 2 2
1 2 1
1 1 1
1 0 2
10 7
2 2 1
1 2 2
1 0 1
0 0 2
0 1 2
2 1 2
2 2 2
2 1 1
1 2 1
0 2 0
10 8
3 0 1
1 3 2
3 1 2
0 3 3
0 2 2
1 2 3
2 1 2
0 2 1
3 2 1
2 2 3
10 5
0 0 1
1 2 0
1 1 2
0 1 2
2 1 1
1 1 0
1 0 1
1 2 1
0 2 0
1 1 1
10 3
2 1 3
0 0 3
3 1 0
3 2 2
1 0 3
2 0 3
3 1 1
0 3 3
2 2 3
2 1 2
10 2
3 3 2
2 2 1
3 2 0
3 0 0
0 2 1
2 3 0
3 3 1
1 3 3
3 1 3
2 0 2
10 2
0 1 1
0 2 1
1 0 1
1 2 0
2 2 1
1 2 2
0 2 2
0 0 2
2 1 2
2 2 0
10 7
1 1 3
0 1 0
3 0 1
0 2 0
0 3 1
0 0 3
1 3 3
2 2 2
0 1 1
1 2 1
10 3
2 0 2
2 2 0
1 2 2
2 1 2
1 0 2
0 0 0
1 2 1
2 1 0
0 0 1
2 2 1
10 8
2 0 0
2 2 2
1 0 0
1 2 1
0 2 0
0 2 2
2 1 1
1 0 2
0 0 2
2 0 1
10 6
2 1 2
1 2 0
2 2 1
0 0 2
2 0 0
2 0 2
1 0 2
0 2 1
2 1 1
1 1 2
10 6
1 3 3
0 0 3
0 2 0
0 2 1
2 0 1
1 1 0
0 3 3
1 1 1
0 3 1
2 1 1
10 9
1 0 1
1 2 0
2 2 1
1 1 1
1 2 1
0 0 2
1 1 0
0 2 0
0 1 0
1 0 0
10 2
0 0 1
0 0 0
0 2 0
2 2 2
1 1 0
1 1 2
1 0 2
0 1 1
1 2 0
0 2 2
10 3
2 1 1
1 0 1
1 1 0
0 2 2
1 2 2
0 0 1
2 2 1
0 0 2
2 0 2
0 1 0
10 4
2 1 1
2 2 0
2 0 0
3 1 3
1 3 2
3 2 0
1 3 0
3 3 0
0 2 2
1 1 2
10 4
0 2 3
0 1 2
1 0 1
2 0 2
3 0 2
0 2 2
0 3 1
1 2 0
2 0 3
2 1 0
10 3
1 0 0
1 1 0
1 1 1
2 0 2
1 1 2
0 1 2
1 0 1
1 2 1
1 2 2
2 1 2
10 6
2 2 1
0 0 1
1 1 0
2 1 0
0 2 2
2 0 2
0 0 0
1 2 0
2 2 0
2 0 1
10 7
0 2 2
1 0 0
0 2 1
2 0 2
1 0 1
1 1 2
2 2 0
0 0 0
1 1 0
1 2 2
10 8
1 2 1
0 3 1
3 2 1
1 3 1
2 1 1
0 0 0
2 1 3
0 3 0
3 1 0
0 0 1
10 3
1 0 1
0 0 2
0 2 2
1 2 0
2 0 0
0 1 0
2 1 1
2 0 2
0 2 0
2 2 2
10 3
2 2 0
0 0 2
0 1 1
0 0 0
2 0 1
2 2 2
0 2 2
1 0 2
1 0 1
0 1 0
10 7
3 3 3
3 2 2
2 3 3
3 1 1
1 3 0
2 1 3
2 0 1
1 0 2
0 3 0
1 0 3
10 5
1 2 0
0 0 2
0 2 0
2 1 1
2 0 2
0 1 1
2 2 2
0 2 1
1 1 2
1 2 2
10 8
2 1 0
2 0 0
2 0 2
0 2 0
2 1 2
0 0 0
2 2 0
0 2 1
1 1 2
0 0 2
10 9
3 1 3
3 0 0
3 3 2
0 0 0
1 1 1
0 0 2
3 2 1
3 0 3
0 1 0
0 1 2
10 5
1 0 1
2 2 0
0 0 1
2 0 2
1 1 2
2 0 1
0 1 1
2 2 1
1 1 0
0 0 0
10 6
0 0 1
2 1 1
0 2 3
1 3 3
2 2 0
3 0 0
3 0 3
3 3 3
0 1 0
3 0 2
10 4
0 3 0
3 1 1
0 2 0
2 2 1
2 3 2
3 2 0
2 1 2
1 0 3
0 3 3
3 3 0
10 8
1 3 0
0 3 0
3 3 1
1 0 3
3 0 2
3 2 3
2 3 2
2 2 2
3 3 3
3 2 0
10 6
0 2 0
0 1 1
1 2 0
0 2 2
0 0 0
0 0 1
2 2 1
2 1 1
2 0 2
1 2 1
10 7
2 1 1
2 3 3
2 0 2
1 1 1
0 2 1
0 1 3
2 1 2
1 2 1
1 2 0
1 0 3
10 8
3 1 1
0 1 2
3 2 0
3 0 0
2 3 3
0 0 2
3 2 3
3 3 2
2 1 0
0 2 1
10 9
0 3 3
3 0 1
2 3 3
1 0 1
0 2 0
1 2 0
3 2 0
2 3 0
3 2 3
0 0 0
10 8
2 0 1
1 0 2
0 2 1
1 1 2
1 0 0
1 2 2
0 1 0
1 1 1
2 1 2
0 0 1
10 6
1 0 0
1 2 1
2 0 1
0 1 2
0 0 0
1 1 0
0 0 1
2 1 1
1 0 1
2 0 0
10 3
0 2 3
3 2 0
2 3 1
3 3 0
1 2 2
1 3 3
2 2 1
3 0 3
2 3 3
3 3 1
10 9
1 1 1
2 3 0
2 0 2
1 3 2
1 3 3
1 2 2
0 3 1
1 1 2
0 3 3
2 0 3
10 2
2 0 2
2 2 1
1 1 1
1 0 1
1 1 2
0 0 2
2 1 0
0 2 0
0 1 0
0 1 2
10 8
1 0 3
1 2 2
1 3 2
3 1 3
1 0 0
3 0 3
1 3 1
2 1 1
1 3 0
3 2 0
10 9
1 2 2
0 2 2
2 2 2
1 0 2
0 0 1
1 1 1
1 2 1
2 1 0
0 1 1
2 1 2
10 7
3 1 2
2 2 1
1 0 3
3 3 0
0 2 0
0 2 3
0 1 1
3 3 1
1 2 0
2 1 2
10 3
1 1 1
3 0 0
0 0 1
2 1 2
3 0 3
0 3 1
2 3 1
2 0 2
1 2 3
0 2 1
10 2
1 3 3
2 1 3
1 0 2
2 1 1
0 0 1
2 3 0
0 0 2
0 2 0
3 2 1
1 2 1
10 5
0 2 1
2 1 1
0 2 2
2 2 0
1 0 1
0 0 0
2 1 2
1 1 0
0 0 1
2 0 0
10 7
3 3 2
2 0 1
3 2 1
1 0 2
1 1 3
2 1 1
2 0 3
1 0 1
0 0 1
2 1 0
10 5
2 2 1
1 1 0
3 3 2
2 1 3
3 0 3
0 2 0
2 1 2
0 1 0
0 0 0
0 1 1
10 2
0 0 0
1 1 3
0 2 0
3 0 3
0 1 1
0 3 0
0 3 1
2 0 1
0 1 2
2 1 0
10 9
2 2 2
3 3 3
3 3 1
1 3 3
2 3 1
2 2 0
0 1 1
3 2 2
2 1 1
3 3 0
10 7
1 1 0
3 3 0
3 3 3
2 1 2
2 3 0
3 0 3
1 3 3
1 1 2
1 0 0
3 1 3
10 3
1 3 2
2 2 0
0 0 1
0 1 2
2 2 2
3 2 1
0 1 3
1 1 1
3 0 0
2 1 0
10 6
0 1 1
1 2 1
0 0 0
2 2 1
0 0 2
0 2 1
2 1 1
2 2 2
0 2 2
0 2 0
10 4
2 1 2
1 1 0
0 1 0
1 2 2
0 0 0
2 2 1
1 2 1
0 2 0
2 2 0
0 2 2
10 7
0 2 2
0 0 1
0 2 1
1 1 0
1 0 0
2 2 1
0 0 0
1 2 2
2 2 0
1 1 2
10 4
2 2 2
2 1 2
0 1 0
2 1 0
2 1 1
0 0 1
1 2 0
1 0 0
2 2 0
0 1 2
10 4
2 2 1
1 1 1
1 2 1
0 0 0
1 0 0
0 0 1
2 2 2
1 0 2
0 1 0
2 1 0
10 9
1 2 3
1 1 2
3 1 1
0 1 2
0 2 1
3 0 3
0 3 1
2 3 0
3 2 1
2 2 3
10 9
2 0 2
0 1 1
0 0 1
0 0 2
2 2 0
2 1 1
1 2 2
2 2 2
0 2 0
2 0 0
10 9
2 2 2
1 0 0
0 2 1
0 2 2
0 1 0
3 3 3
3 0 2
2 0 2
0 3 0
0 3 2
10 8
0 2 2
3 2 3
1 0 0
1 1 3
0 2 3
3 3 0
0 1 1
2 1 0
2 1 2
0 2 1
10 2
0 1 1
2 1 2
0 1 3
2 1 3
0 1 0
3 0 1
0 3 3
1 2 3
1 1 1
1 0 3
10 5
1 1 1
0 0 2
1 1 3
2 1 2
1 3 1
0 0 1
1 0 1
1 0 0
0 2 3
2 3 2
10 2
0 3 2
1 1 3
1 0 2
2 1 2
0 0 3
0 2 2
0 3 1
3 2 1
0 1 2
0 0 2
10 8
0 2 1
2 2 1
0 2 2
3 3 3
0 1 2
1 2 3
2 0 2
0 0 0
1 1 0
2 2 3
10 7
1 3 3
1 2 1
2 2 2
1 3 1
3 2 0
3 1 3
3 1 2
3 0 1
2 2 3
0 2 1
10 9
2 0 2
1 3 3
0 3 3
3 1 0
0 2 1
3 1 3
3 3 3
2 3 2
1 3 2
0 3 1
10 8
1 1 0
0 0 2
0 2 0
2 0 1
0 0 0
2 0 2
0 1 0
0 1 2
1 0 1
2 2 1
10 3
1 1 2
2 1 2
0 0 1
0 0 0
2 0 0
1 1 1
2 2 1
1 2 1
0 2 2
0 1 2
10 5
1 0 2
2 1 1
1 2 1
2 0 2
0 1 2
0 2 2
1 1 2
0 2 0
1 2 0
2 2 1
10 9
0 0 2
1 2 1
0 0 1
2 2 1
1 2 2
0 1 0
0 2 2
0 0 0
2 2 0
1 0 0
10 9
2 2 2
2 2 0
0 0 2
0 2 0
2 0 0
2 0 2
1 0 0
2 2 1
2 1 2
0 1 0
10 2
1 2 1
3 2 3
2 2 2
0 2 0
1 3 0
3 1 1
0 2 2
2 1 1
0 0 3
1 3 2
10 6
0 0 1
2 1 2
1 0 2
1 0 1
2 1 0
1 1 2
0 2 0
1 2 2
0 1 2
0 2 2
10 7
0 1 0
1 1 2
1 3 0
0 3 0
1 3 2
1 1 0
0 3 1
0 0 2
0 2 3
2 0 2
10 9
1 1 1
1 1 2
1 0 1
2 0 0
1 0 0
2 0 1
0 2 1
0 2 0
2 2 1
0 0 0
10 9
2 0 1
2 0 0
1 1 1
0 1 1
1 1 2
0 2 0
0 0 2
2 0 2
2 1 1
0 2 1
10 2
3 0 0
2 3 0
1 0 2
2 2 3
3 3 1
0 3 3
2 3 1
3 2 1
2 0 0
0 2 2
10 8
0 2 1
2 1 1
2 0 1
1 1 2
1 2 1
2 0 2
0 0 1
0 1 1
1 2 2
2 0 0
10 4
0 0 2
1 1 1
2 2 2
2 0 1
2 1 1
1 0 2
0 2 2
2 2 1
0 0 1
1 2 0
10 9
0 1 0
3 0 0
3 3 0
0 0 2
0 2 1
2 2 1
2 0 1
1 3 0
1 2 1
2 3 2
10 2
3 2 0
0 3 1
3 0 1
0 2 1
2 1 3
1 3 3
0 1 1
2 2 2
3 2 3
0 3 2
10 7
0 2 0
0 0 2
1 0 2
1 2 0
2 2 2
2 0 1
2 2 1
1 0 0
0 1 2
0 1 1
10 8
2 2 0
1 1 3
0 0 1
1 0 1
0 2 3
1 3 1
1 1 0
1 3 0
3 3 1
2 2 2
10 3
1 0 2
0 1 0
1 1 0
2 2 0
1 1 1
0 0 0
2 0 2
1 2 1
0 2 1
0 0 2
10 4
0 1 2
0 0 0
1 0 1
0 2 0
0 2 2
2 2 2
2 1 2
0 1 1
1 1 1
2 2 1
10 6
2 0 0
2 0 1
2 1 1
1 0 0
0 2 2
1 1 0
0 1 0
1 0 2
1 1 1
2 0 2
10 2
2 1 0
1 1 0
1 2 0
2 1 1
1 0 0
2 0 2
1 1 1
0 2 0
0 1 0
0 2 1
10 4
0 0 0
2 3 1
0 0 3
0 0 1
1 3 3
2 0 1
3 2 2
3 0 2
0 2 0
3 2 0
10 2
2 2 2
0 2 1
3 3 2
0 0 2
1 2 2
1 2 3
2 2 1
2 1 2
2 0 3
0 0 3
10 5
2 1 2
1 2 1
0 1 0
0 1 2
2 1 0
2 2 2
0 2 2
0 0 2
1 1 0
0 2 1
10 8
0 1 3
3 2 0
1 2 3
1 1 2
1 3 3
0 2 3
1 0 2
2 0 2
2 3 0
2 1 3
10 9
1 3 0
0 1 3
2 0 1
3 3 1
3 1 3
1 1 3
3 2 0
0 2 0
1 2 3
3 1 1
10 7
0 0 1
1 2 1
2 2 1
0 2 2
0 2 0
0 1 0
2 1 1
1 0 0
1 1 2
1 2 2
10 4
2 0 1
0 1 2
1 1 0
0 0 2
1 1 2
0 2 2
1 2 2
1 0 2
2 2 0
2 1 0
10 4
0 3 0
0 3 3
2 2 1
2 1 2
0 3 2
0 1 2
2 2 2
0 2 1
3 1 2
0 1 0
10 9
0 1 2
1 1 2
1 0 0
1 0 2
1 2 0
1 1 1
2 2 0
1 2 1
2 1 0
0 0 1
10 9
3 3 2
1 2 3
0 2 1
3 2 3
0 2 0
3 0 3
3 1 2
2 1 3
0 1 0
2 1 0
10 7
1 3 0
1 0 3
2 3 3
2 2 0
2 0 0
1 2 1
1 1 3
3 3 0
1 1 1
2 0 2
10 7
1 2 1
2 3 2
1 1 3
1 2 3
2 2 0
2 2 3
2 3 0
0 3 0
1 3 3
0 1 1
10 3
3 0 0
2 3 3
2 0 1
3 0 1
1 3 1
2 1 0
0 1 3
2 1 1
0 3 0
1 0 2
10 7
2 3 3
2 1 1
0 1 3
3 0 1
3 1 1
0 0 1
2 2 2
0 3 3
1 2 1
2 2 0
10 6
1 0 3
1 2 2
2 2 0
3 3 2
0 0 3
1 3 3
2 2 2
2 0 0
2 1 2
0 3 1
10 8
1 0 2
1 0 1
0 0 0
2 0 0
2 2 2
2 1 0
1 0 0
2 0 2
0 2 0
1 2 0
10 6
0 2 1
3 2 3
0 2 0
2 2 1
1 0 2
0 3 2
3 1 2
2 0 1
1 3 2
0 3 3
10 2
3 2 2
3 2 1
3 1 2
0 2 3
1 3 3
3 3 0
1 2 3
1 3 2
1 0 0
1 2 2
10 8
1 1 3
2 0 3
1 1 0
2 1 1
2 1 2
1 0 2
1 2 1
3 0 3
0 2 1
1 0 3
10 7
0 0 0
0 0 1
1 2 1
1 1 2
1 1 1
0 1 1
0 2 1
0 0 2
2 1 1
2 2 0
10 3
1 0 1
0 2 2
0 0 0
2 1 0
0 1 0
1 2 0
0 1 1
1 1 1
2 2 0
1 1 0
10 8
1 1 2
0 2 2
2 0 2
0 0 2
2 1 1
1 2 0
1 2 2
0 1 0
2 2 1
2 0 1
10 3
3 2 3
3 1 1
0 1 3
0 0 3
0 1 1
1 1 2
0 1 0
2 2 1
3 0 3
1 1 1
10 5
2 0 1
0 0 2
0 2 2
0 1 2
2 2 0
2 0 0
2 0 2
0 2 1
0 1 0
2 1 1
10 5
2 1 1
2 0 2
0 0 0
1 0 3
2 3 3
0 2 0
3 2 3
1 1 3
1 1 0
2 1 2
10 6
1 0 0
3 3 2
2 2 3
0 0 3
3 1 1
3 0 1
3 0 2
1 0 2
1 3 1
2 3 0
10 3
1 2 0
2 2 2
2 2 1
0 0 2
0 1 0
0 1 2
0 1 1
1 0 1
2 1 1
2 0 0
10 2
3 0 0
1 1 2
1 0 0
1 1 3
2 3 2
0 1 0
3 1 0
3 2 2
2 2 3
0 0 2
10 5
0 2 1
2 2 2
1 0 3
1 3 2
1 2 0
2 2 3
1 1 2
2 0 2
3 1 3
0 1 3
10 3
1 2 2
0 1 1
2 0 2
0 0 0
0 0 2
1 1 1
1 0 0
1 0 2
2 1 1
2 2 2
10 9
0 0 1
2 0 0
2 2 0
2 2 1
1 2 1
0 2 1
2 1 2
0 2 2
2 2 2
2 1 0
10 8
1 1 2
2 1 0
0 0 0
0 1 0
1 2 0
1 1 0
1 0 1
0 1 1
0 2 2
1 0 0
10 3
2 0 1
0 2 0
0 0 1
2 0 0
2 1 0
1 0 2
1 0 0
0 0 2
0 1 2
2 2 1
10 7
2 0 3
1 1 2
1 3 0
2 3 0
3 1 2
1 0 1
3 3 1
1 3 2
0 0 1
3 0 2
10 7
0 1 0
1 2 2
2 2 1
2 1 1
2 0 0
1 1 0
2 1 0
1 1 1
1 2 0
1 0 0
10 9
2 2 2
3 3 2
3 1 1
3 3 1
2 0 1
0 3 2
0 2 1
1 0 2
0 2 2
1 1 0
10 7
1 0 2
2 0 2
1 2 2
0 1 1
2 2 0
2 2 2
2 0 0
2 0 1
0 0 2
1 0 1
10 7
2 2 2
0 0 2
1 1 1
1 1 0
1 2 0
2 1 2
2 1 0
2 0 1
0 2 0
0 1 1
10 3
2 0 1
1 1 0
1 1 2
1 2 2
2 2 2
1 2 0
1 0 0
2 1 2
2 1 0
2 1 1
10 4
0 2 0
2 2 0
1 0 1
2 0 2
1 2 2
2 1 0
2 2 1
2 0 0
1 1 2
0 1 0
10 2
0 3 2
1 0 0
1 2 0
2 0 0
3 0 0
1 0 3
2 3 1
0 1 3
3 2 0
3 2 1
10 6
0 0 1
1 0 0
0 2 1
0 1 0
2 1 0
2 2 1
0 1 1
1 2 2
2 2 2
1 1 2
10 6
2 2 1
0 0 0
1 1 1
0 1 0
2 2 2
0 1 1
2 1 1
1 2 2
1 0 0
0 2 1
10 3
3 2 3
3 0 0
1 1 3
0 0 2
2 1 3
3 3 2
3 2 1
2 3 0
3 0 1
0 2 1
10 7
2 2 2
2 1 2
1 3 2
3 2 0
3 3 1
0 2 2
0 2 1
2 3 3
0 3 2
2 3 1
10 2
2 0 2
0 1 2
2 0 0
2 1 1
1 2 0
0 2 0
2 1 2
0 2 1
0 0 1
0 0 0
10 7
1 2 1
2 1 0
1 1 0
1 0 2
2 1 2
1 2 2
0 2 1
1 1 1
0 2 2
1 2 0
10 5
2 0 0
0 0 1
2 1 2
1 2 1
1 1 2
2 1 1
2 1 0
1 2 0
1 0 0
0 0 0
10 3
1 1 1
2 2 0
1 0 2
1 1 2
3 2 3
1 0 1
0 3 1
1 1 0
1 1 3
3 2 0
10 5
1 2 0
1 0 2
1 1 0
2 1 0
2 2 2
0 1 2
0 2 1
2 0 1
0 2 0
0 0 1
10 5
1 3 1
2 2 1
0 1 1
3 2 2
1 0 3
1 1 1
2 3 0
0 3 1
2 3 1
2 1 1
10 9
0 0 3
3 1 2
0 1 2
0 0 1
2 1 3
2 2 1
0 0 2
3 3 3
3 3 1
1 1 3
10 6
2 0 0
2 3 1
2 0 3
1 3 3
3 2 2
3 1 1
3 1 2
0 1 3
3 0 3
1 3 0
10 3
0 0 1
0 0 0
1 1 0
2 2 1
0 1 0
1 2 1
1 1 1
1 1 2
1 0 0
1 2 0
10 2
0 2 2
2 2 0
1 0 0
2 0 1
0 0 2
0 2 1
1 0 1
2 1 0
1 1 0
1 2 2
10 3
0 2 1
1 2 0
1 2 1
0 1 1
1 0 2
1 0 1
1 2 2
0 0 0
2 0 2
1 0 0
10 9
1 0 0
0 2 1
0 0 2
2 0 2
2 1 1
2 1 0
2 2 2
1 2 1
1 1 2
2 0 0
10 5
1 0 0
1 0 1
0 0 2
1 2 1
2 1 0
0 1 0
1 1 1
2 1 1
1 2 0
1 0 2
10 2
2 0 2
0 2 1
1 0 0
2 2 0
1 2 2
2 2 2
0 0 0
2 0 1
0 1 2
2 1 1
10 8
1 2 0
2 0 0
1 1 2
0 1 0
2 2 0
1 0 0
1 0 1
2 2 1
1 1 0
0 2 0
10 6
1 0 1
1 2 1
2 1 1
2 1 2
2 0 2
1 2 2
0 2 0
1 0 0
0 0 2
2 2 0
10 7
2 2 0
2 3 0
2 2 2
3 1 2
1 3 1
1 1 2
1 2 1
1 2 0
0 0 3
2 1 0
10 5
1 2 3
3 3 2
1 3 1
1 2 0
0 0 3
3 3 3
1 0 2
3 0 3
1 1 2
3 0 0
10 6
2 1 1
0 1 0
2 2 1
0 0 2
0 1 1
0 2 2
1 0 2
2 0 2
0 1 2
0 0 0
10 3
1 0 0
2 2 1
2 2 3
3 0 2
0 0 3
3 0 3
1 3 3
2 1 2
3 1 3
0 1 1
10 8
2 1 0
3 1 3
0 1 1
1 3 3
3 2 2
0 3 2
0 0 2
2 1 3
0 2 0
3 2 0
10 7
2 0 1
3 1 1
2 3 1
2 2 1
0 1 2
0 0 1
3 2 2
0 3 2
0 0 2
0 3 3
10 9
3 1 1
2 0 3
3 1 3
1 0 1
1 2 0
0 3 3
3 2 0
2 3 2
3 3 1
0 2 1
10 6
2 1 2
2 2 3
3 1 0
0 3 0
0 2 2
0 0 2
1 2 1
3 2 1
3 3 0
0 0 0
10 5
0 2 0
2 0 0
0 0 1
1 2 2
1 2 0
2 2 0
2 0 1
2 1 2
0 0 2
2 2 2
10 8
1 2 2
2 0 0
2 2 0
1 0 1
1 2 0
2 2 1
2 1 1
1 1 2
2 0 1
0 1 0
10 5
0 1 2
1 3 2
2 1 1
1 1 1
1 1 2
3 0 1
3 0 0
2 0 2
3 2 1
1 1 3
10 9
1 2 2
1 1 0
0 0 1
0 2 0
1 2 1
2 0 1
2 2 1
0 0 2
1 1 1
1 2 0
10 2
0 1 1
0 0 0
2 2 0
1 0 1
2 2 2
2 0 0
0 2 1
1 1 1
0 0 2
2 0 1
10 6
0 0 2
1 2 0
0 0 0
1 2 1
2 0 2
2 0 1
2 2 2
1 2 2
2 1 1
1 0 0
10 9
0 1 0
3 0 3
0 0 3
1 2 1
2 0 0
3 0 2
2 0 1
1 2 2
2 3 3
0 2 0
10 6
2 0 2
2 0 0
2 2 1
0 1 1
1 2 0
0 1 2
1 0 2
0 2 2
2 0 1
0 0 2
10 2
1 1 0
0 2 2
1 0 1
1 2 1
2 2 1
0 2 1
2 0 1
2 1 2
2 0 2
1 1 2
10 8
1 0 1
3 1 1
0 3 0
1 1 3
2 2 1
3 3 0
3 3 1
2 2 2
2 3 0
0 2 2
10 9
3 0 1
3 3 2
0 0 3
3 1 2
2 1 2
2 0 3
0 1 0
3 2 3
3 3 1
0 3 2
10 9
1 0 1
1 2 0
0 1 2
0 2 1
2 0 0
2 1 1
2 0 1
0 0 2
2 0 2
0 1 1
10 3
1 0 2
0 2 0
0 2 2
2 1 2
1 1 0
0 1 1
1 1 2
2 2 2
1 2 1
0 0 2
10 3
0 1 0
1 0 0
1 1 1
0 2 1
1 2 0
1 0 1
2 1 0
0 1 2
0 0 2
0 2 2
10 9
3 2 0
2 2 2
0 3 2
1 3 1
3 0 2
1 2 0
3 0 0
3 3 3
3 2 2
2 0 0
10 6
0 2 0
1 2 1
0 2 2
2 2 1
2 1 3
3 0 2
0 3 1
0 0 1
2 0 0
0 0 0
10 4
1 2 1
2 0 1
1 1 2
3 2 1
2 1 0
1 3 0
3 1 3
3 3 0
2 2 2
0 1 3
10 2
1 2 0
0 0 0
2 2 1
2 0 2
0 2 0
0 0 2
2 1 1
1 0 0
2 0 1
0 1 0
10 3
2 1 0
1 0 2
2 1 1
1 2 2
2 0 1
0 1 1
0 2 0
0 0 2
2 2 1
0 1 0
10 9
1 2 0
2 0 0
1 2 1
0 2 0
1 1 2
1 1 0
1 1 1
1 2 2
2 1 0
0 2 2
10 9
3 3 0
0 2 2
0 0 2
2 2 0
2 1 1
3 2 1
0 2 0
0 2 3
2 3 1
3 3 2
10 9
1 3 2
3 0 0
2 1 0
2 0 1
2 0 0
1 0 1
0 1 0
3 2 2
3 1 0
1 1 0
10 8
2 2 2
0 0 1
1 1 0
1 2 0
1 1 2
2 1 2
2 0 1
0 0 0
0 2 1
1 1 1
10 5
0 2 2
3 2 3
3 0 0
2 3 0
3 1 1
0 0 3
0 2 1
3 1 3
3 2 2
1 1 1
10 5
0 3 0
0 2 1
3 2 3
2 3 3
2 0 0
2 1 2
1 2 0
0 1 2
0 1 3
3 1 2
10 3
0 0 0
0 2 2
2 1 1
1 0 2
2 1 2
0 1 0
2 0 1
0 1 1
0 1 2
0 2 0
10 9
1 2 0
1 1 2
0 1 0
0 0 0
0 0 2
1 0 2
1 2 1
2 1 0
0 2 1
2 0 0
10 2
2 2 0
2 2 3
0 2 2
1 1 0
0 3 1
0 1 1
0 0 3
2 3 1
1 3 2
2 1 2
10 6
1 2 1
2 2 2
1 1 2
1 0 1
1 1 0
0 2 2
0 0 2
1 0 2
2 1 1
0 1 1
10 4
3 1 2
1 0 0
1 0 3
2 1 2
0 2 2
1 0 1
1 1 0
3 3 2
0 3 3
2 2 0
10 8
2 2 0
0 1 0
0 2 2
0 1 2
1 2 2
2 1 2
1 2 0
0 2 1
2 0 2
2 2 1
10 5
2 2 1
2 0 1
2 2 2
0 0 2
0 0 1
2 0 0
0 1 0
2 2 0
0 2 2
2 1 1
10 6
1 1 0
3 3 1
0 2 0
2 0 3
0 3 0
1 1 1
0 0 0
3 0 3
0 1 1
3 2 1
10 9
1 1 2
1 1 0
2 0 2
3 1 0
2 3 0
0 2 0
2 2 0
1 2 1
3 3 1
2 1 1
10 3
2 2 0
2 2 2
2 1 1
0 1 2
1 0 2
0 1 1
0 2 2
0 2 0
2 1 0
0 0 2
10 9
1 2 1
1 2 0
0 3 3
0 2 1
0 2 2
0 2 3
2 2 1
2 1 3
0 1 2
2 2 2
10 5
3 0 1
1 1 2
2 3 3
2 0 3
3 3 0
1 0 1
0 2 1
3 2 1
1 2 0
0 2 3
10 2
0 1 1
2 2 0
2 0 0
0 0 1
1 1 2
0 2 1
3 0 0
2 1 2
2 3 0
3 1 0
10 6
1 0 0
1 1 0
0 0 0
2 2 2
0 0 2
1 0 1
0 2 1
0 1 2
1 2 1
2 0 2
10 5
1 2 0
2 2 0
3 2 0
2 2 3
1 3 0
1 1 2
0 0 3
0 1 0
2 0 3
0 2 2
10 5
2 1 2
2 2 2
1 2 0
0 0 2
1 1 1
0 2 0
1 2 1
1 0 1
0 1 2
2 0 1
10 7
1 0 2
3 1 0
3 2 1
2 3 3
1 3 2
0 1 3
3 1 2
3 3 2
2 3 0
2 2 1
10 4
0 2 2
2 1 0
2 2 1
1 2 0
2 2 0
0 1 1
1 1 2
0 0 2
1 0 1
0 2 1
10 2
1 1 2
1 2 0
1 3 3
3 2 0
2 0 3
1 0 2
2 1 0
0 3 1
1 2 3
1 3 0
10 3
2 0 0
1 2 0
2 2 0
0 2 1
0 0 1
0 0 0
1 1 2
1 2 2
0 1 0
2 1 0
10 9
2 1 0
2 0 2
0 2 1
2 0 1
2 2 2
1 2 1
1 1 2
0 1 2
2 2 0
1 1 1
10 7
0 0 2
2 0 0
0 1 2
0 1 0
2 1 1
1 0 0
2 1 0
0 2 1
0 0 0
2 0 2
10 8
3 1 1
0 3 0
0 3 1
0 0 2
1 2 0
2 2 3
1 3 3
0 3 2
2 1 3
0 2 0
10 3
0 2 2
3 1 1
0 1 0
1 1 3
2 3 1
3 3 0
2 2 2
0 1 2
1 0 1
1 3 3
10 2
1 1 0
1 0 0
1 0 2
0 0 2
1 1 2
0 1 0
1 1 1
2 2 1
0 0 0
0 2 2
10 4
2 3 2
0 3 2
3 0 3
2 3 0
3 0 0
3 0 2
3 2 3
2 0 0
1 3 1
0 2 0
10 5
2 1 2
1 0 2
1 0 1
0 2 2
2 2 2
0 1 2
2 0 1
2 1 1
1 2 2
0 0 2
10 6
1 1 2
0 0 0
1 2 0
1 0 1
2 1 2
0 1 0
1 1 1
2 1 1
2 2 0
2 1 0
10 8
0 0 0
2 2 1
0 1 2
2 1 2
2 0 1
0 2 0
2 2 0
1 0 2
1 1 1
2 0 2
10 5
2 2 2
2 2 1
2 1 1
0 1 2
0 2 2
1 0 0
1 2 2
0 0 2
1 2 1
0 1 0
10 5
3 2 1
0 1 1
1 2 1
0 2 3
2 1 1
3 2 2
3 1 0
0 2 0
1 1 2
2 2 1
10 4
2 2 0
2 2 2
0 0 0
0 1 0
0 2 2
2 1 0
0 2 1
1 2 1
2 2 1
2 0 1
10 5
0 3 2
0 2 3
0 1 3
2 1 2
3 0 1
2 3 0
2 1 1
3 1 1
0 3 1
0 2 2
10 9
3 0 1
0 2 1
1 3 0
1 1 2
2 2 2
3 3 0
0 2 2
2 3 0
1 2 3
2 2 1
10 5
1 2 1
2 1 1
1 1 0
2 2 2
0 0 2
2 0 1
1 0 0
2 1 0
1 0 2
2 0 2
10 5
1 2 2
0 2 0
0 1 0
2 0 1
2 0 2
1 0 0
0 0 0
2 2 2
0 0 2
1 2 1
10 6
2 2 1
0 0 1
2 3 3
1 2 3
0 3 0
0 2 2
3 0 3
2 2 0
0 0 0
2 2 2
10 7
1 0 2
2 2 1
2 2 2
0 2 1
0 1 2
1 2 2
1 0 0
1 1 1
2 0 1
2 1 0
10 2
2 1 1
0 1 1
0 0 1
0 1 2
1 0 2
2 1 2
0 2 2
1 2 0
0 0 2
2 0 2
10 3
2 1 2
2 1 0
1 1 1
2 2 1
2 0 0
0 1 2
1 0 2
1 0 1
0 0 1
2 2 0
10 5
2 2 0
3 3 3
0 2 2
1 3 2
2 2 1
2 0 2
2 1 2
3 2 0
0 1 1
0 2 0
10 2
0 1 1
0 0 2
1 1 1
2 2 1
1 0 1
1 1 0
2 1 2
0 1 2
0 0 0
1 0 2
10 5
3 3 3
3 0 2
1 1 3
0 1 2
2 2 2
3 2 2
3 0 0
2 3 3
3 2 1
2 0 2
10 2
0 2 3
1 2 2
0 0 3
3 2 0
2 1 3
3 3 0
3 0 1
2 0 3
1 1 0
0 3 3
10 8
1 2 2
0 0 1
0 2 1
1 1 0
2 1 0
0 1 1
0 2 2
2 3 3
3 0 1
1 2 3
10 9
3 1 3
3 0 0
0 2 0
2 2 1
1 2 0
0 3 1
3 3 0
2 3 3
1 0 3
1 0 0
10 2
1 1 2
2 2 1
0 0 1
2 0 0
0 1 0
1 0 1
0 1 1
1 2 1
1 1 0
2 2 0
10 8
0 2 3
0 2 0
0 3 3
3 0 0
2 0 3
3 3 1
2 0 0
1 3 0
0 3 0
0 1 1
10 6
3 0 3
2 0 1
3 3 2
1 1 0
0 0 2
1 1 2
1 2 3
3 1 1
2 1 3
0 3 3
10 6
3 3 3
0 1 2
3 2 0
1 3 0
1 0 1
0 0 1
0 3 2
1 1 3
3 1 0
1 0 3
10 2
1 1 1
1 0 2
1 2 1
0 1 2
0 0 2
2 2 0
2 0 0
0 0 1
1 1 2
0 2 2
10 3
1 2 0
0 0 2
1 0 2
1 2 1
1 1 1
0 0 0
2 1 2
1 2 2
1 1 2
0 1 1
10 9
0 1 0
3 2 0
0 0 3
1 0 2
1 1 3
3 1 2
2 2 0
2 0 3
0 0 1
3 0 0
10 3
0 1 1
1 0 1
2 1 0
2 2 0
0 0 1
0 2 2
1 2 2
1 0 0
1 0 2
0 1 2
10 9
2 1 0
0 1 1
1 0 0
0 2 0
0 0 0
2 0 0
0 1 2
2 2 1
2 1 1
0 0 1
10 9
0 2 1
1 1 0
1 0 3
0 2 2
2 2 1
3 2 2
0 3 2
0 3 1
1 3 3
3 3 1
10 9
0 0 1
3 3 3
3 0 3
2 1 1
2 3 2
1 3 3
2 1 0
0 0 0
1 1 0
3 2 3
10 5
0 1 1
0 2 1
2 0 1
2 2 0
2 2 2
0 0 1
1 1 2
1 2 2
2 2 1
0 0 0
10 2
2 2 2
2 0 0
2 0 1
1 2 0
0 2 2
1 1 0
2 1 1
0 2 1
0 0 0
0 0 2
10 7
0 3 2
2 0 3
0 2 3
1 2 2
0 0 3
0 3 0
1 0 1
0 1 1
1 1 0
1 1 1
10 5
2 2 0
2 2 2
2 1 2
1 3 2
3 2 0
1 3 3
3 0 0
1 2 3
3 0 3
3 1 1
10 3
0 1 3
2 0 2
1 1 1
0 0 2
3 0 0
2 3 3
2 0 0
1 2 2
1 1 3
3 3 1
10 6
0 0 1
2 2 3
0 1 2
1 1 0
1 2 2
2 0 3
2 1 2
3 0 1
0 0 3
1 2 3
10 9
2 2 1
3 2 2
0 3 0
1 1 0
2 2 0
2 0 3
0 0 0
3 0 3
2 2 2
2 3 3
10 9
1 0 0
1 1 2
1 0 2
0 2 2
0 0 1
2 0 0
1 1 1
0 2 1
0 2 0
1 2 2
10 2
0 2 1
0 1 1
2 1 0
1 2 1
0 0 0
1 0 0
1 1 1
0 2 2
1 1 2
2 0 1
10 5
0 2 2
0 2 1
1 0 2
1 3 0
3 0 2
3 1 1
3 3 2
0 2 0
1 3 2
0 0 1
10 5
2 0 0
0 2 2
2 1 1
1 1 1
0 0 2
1 2 0
2 1 2
1 2 2
1 2 1
0 0 1
10 7
0 3 3
3 0 1
0 1 1
3 2 1
2 0 2
1 2 0
2 0 3
0 0 0
2 2 0
1 2 1
10 5
2 1 0
0 0 2
2 1 1
1 0 0
1 1 2
2 0 2
0 2 2
1 1 1
1 0 2
2 2 2
10 2
0 0 1
0 2 1
0 1 2
2 0 2
2 1 2
1 1 1
2 1 1
1 1 2
2 2 1
2 0 1
10 3
3 2 0
0 1 2
3 3 0
1 0 3
1 1 2
0 1 1
2 1 0
1 3 2
3 1 2
0 1 3
10 3
1 1 1
2 2 0
2 1 2
0 0 2
1 1 2
0 1 2
0 1 1
1 0 2
2 1 0
1 1 0
10 9
2 2 2
1 0 0
3 3 3
0 2 1
1 2 3
2 1 1
3 0 0
1 3 2
0 2 2
3 3 1
10 4
3 2 1
0 1 3
0 2 2
2 0 3
0 2 0
1 2 1
3 3 0
2 2 2
3 0 1
1 2 0
10 8
1 0 0
0 0 2
2 3 2
0 2 2
2 3 3
1 3 0
2 2 3
3 0 2
0 0 3
1 1 2
10 2
0 2 1
2 0 1
0 1 1
0 1 0
1 1 2
1 2 2
1 2 1
0 2 2
0 0 2
2 1 2
10 2
2 1 1
0 0 1
0 0 0
0 2 1
1 0 0
2 2 1
1 2 2
0 2 2
0 2 0
2 2 0
10 4
2 3 0
3 2 1
3 3 3
3 1 0
1 0 3
1 1 0
1 0 2
0 0 1
2 2 2
0 3 2
10 2
0 1 0
3 1 3
1 1 1
2 1 0
0 0 1
2 3 2
0 2 2
3 3 1
1 3 2
0 1 1
10 9
2 1 1
1 0 0
1 2 0
0 1 1
0 1 2
0 2 1
0 2 0
1 0 1
0 1 0
0 0 1
10 4
1 0 0
2 3 0
2 0 0
3 2 0
0 0 1
1 0 1
0 1 1
0 1 2
1 3 2
3 3 3
10 5
2 2 2
0 0 1
1 1 0
1 2 0
2 0 2
2 2 1
2 2 0
1 0 1
0 0 2
1 2 2
10 7
1 1 0
2 3 3
2 3 1
2 0 2
1 3 0
3 2 1
1 0 1
0 2 2
2 0 0
1 2 3
10 6
0 1 1
2 1 2
0 2 0
2 2 1
2 1 1
0 0 1
1 1 0
0 2 2
1 1 1
0 2 1
10 7
0 3 2
1 1 2
3 2 0
2 1 3
2 0 1
3 2 3
0 2 1
0 1 0
3 1 2
1 0 2
10 2
3 1 0
2 0 1
3 3 0
1 0 3
0 2 1
3 2 1
1 3 3
1 1 1
1 0 2
2 1 0
10 4
1 1 1
3 0 1
2 3 2
1 0 2
3 2 3
3 0 3
2 0 0
3 1 0
1 1 2
3 0 2
10 9
1 1 1
2 0 2
2 1 2
1 1 2
1 0 1
0 2 0
2 2 0
1 1 0
0 0 0
2 1 1
10 2
1 3 0
2 0 3
1 3 2
3 0 3
3 2 3
2 3 1
3 3 0
0 2 1
2 2 0
2 1 2
10 5
3 1 0
3 0 0
0 0 2
2 2 3
2 1 2
1 0 1
1 0 0
2 3 2
3 3 2
2 0 3
10 6
3 1 0
0 0 0
1 2 1
3 3 2
1 0 3
3 2 3
2 0 3
1 1 3
0 1 2
2 3 3
10 5
2 0 2
0 1 0
0 2 0
0 2 1
2 2 0
1 2 0
1 0 1
2 1 0
1 1 2
0 0 2
10 2
3 3 1
3 1 2
0 1 2
1 1 3
3 0 2
2 1 3
2 3 2
1 1 2
3 3 3
3 3 0
10 5
0 2 2
2 0 0
0 0 2
0 1 1
2 1 2
0 0 0
1 2 1
1 1 0
2 2 1
2 0 1
10 7
1 0 1
1 0 2
0 1 2
0 0 1
0 0 2
2 0 2
0 0 0
2 2 2
0 2 2
2 0 1
10 9
1 0 1
2 2 2
2 0 1
2 1 1
1 1 0
1 0 0
2 1 2
0 2 0
2 2 1
1 1 2
10 8
1 0 1
2 1 1
1 0 2
0 0 2
2 0 2
1 2 2
2 2 2
1 2 1
1 2 0
1 1 0
10 4
0 1 0
2 1 1
1 2 2
2 2 0
1 0 1
0 0 2
1 1 1
2 1 2
0 1 2
2 2 1
10 3
0 0 0
0 2 0
0 0 1
1 0 2
2 1 2
0 2 2
1 2 0
0 0 2
0 1 1
0 1 0
10 8
2 0 1
1 2 2
2 2 2
2 1 1
2 2 1
0 0 2
2 2 0
0 1 2
2 1 0
2 1 2
10 9
0 3 2
0 0 2
2 0 1
1 1 1
1 2 2
2 2 0
3 3 3
2 2 1
1 3 1
2 1 2
10 3
3 2 3
1 0 3
3 1 2
3 3 3
2 2 1
3 3 0
3 0 0
0 3 0
2 0 3
0 3 1
10 8
0 2 1
1 0 1
0 1 1
1 0 0
2 0 2
1 1 2
0 0 2
0 2 0
2 0 0
1 0 2
10 8
0 1 1
1 2 0
1 0 0
2 2 2
2 2 0
1 1 0
0 1 0
0 2 0
2 1 2
2 0 1
10 2
0 0 2
2 2 2
2 2 1
2 2 0
0 2 2
0 2 0
0 0 0
0 1 1
0 2 1
2 1 2
10 9
2 3 3
2 0 1
2 1 1
2 2 3
2 1 2
3 0 1
1 2 0
1 2 3
0 1 3
2 2 1
10 3
1 0 0
1 2 2
2 1 1
0 1 1
0 1 2
1 1 1
2 0 0
1 0 2
0 2 2
2 2 0
10 2
1 2 1
2 0 2
2 2 1
1 2 0
0 0 0
0 2 1
2 1 2
2 1 0
0 1 2
1 1 1
10 8
3 1 3
0 1 2
0 2 2
2 3 1
3 0 0
1 0 3
3 2 0
3 2 2
0 2 0
3 3 3
10 6
1 2 0
2 1 1
2 2 0
1 1 0
1 3 1
3 1 3
2 3 3
0 1 0
2 3 0
1 0 0
10 7
2 1 2
2 0 2
0 1 2
0 1 0
1 0 1
2 2 2
1 1 2
2 0 1
2 1 1
0 0 1
10 8
1 1 0
1 2 1
1 1 2
0 0 0
2 1 1
0 2 0
1 1 1
0 2 2
2 0 1
0 0 2
10 3
1 0 1
0 0 0
2 0 2
2 2 1
0 1 2
0 1 0
2 1 2
1 2 1
1 1 2
1 0 0
10 9
2 0 1
2 3 2
1 1 1
0 3 2
3 1 2
1 1 2
3 0 3
2 2 0
1 1 3
1 0 1
10 3
0 2 2
0 1 2
1 1 1
0 2 1
2 2 1
1 0 1
1 2 1
1 2 0
1 1 2
2 1 0
10 9
0 2 2
0 0 0
1 1 1
2 2 2
2 2 1
2 1 1
1 1 0
0 0 1
2 1 2
0 0 2
10 9
1 2 1
0 0 1
1 0 0
2 0 0
0 1 1
2 2 0
1 1 0
2 1 2
2 0 1
1 1 1
10 5
1 2 2
0 0 3
1 0 3
2 2 3
2 1 3
0 1 1
0 2 2
0 1 2
1 2 1
1 1 0
10 4
2 2 0
1 0 1
0 1 0
2 0 1
1 1 0
1 1 2
0 2 1
2 0 0
0 0 0
2 0 2
10 4
1 2 1
1 2 0
0 1 1
2 2 0
1 1 1
0 1 0
2 1 1
0 0 2
2 2 2
1 1 2
10 4
2 1 0
1 2 0
2 0 1
0 2 0
2 1 1
2 1 2
1 2 2
0 1 2
0 2 2
1 1 1
10 5
3 0 3
1 3 2
1 3 3
1 1 2
1 3 0
0 2 0
0 1 1
2 2 0
1 2 3
0 0 0
10 2
1 1 1
2 1 1
1 0 1
1 2 1
0 1 1
2 1 2
0 1 2
2 2 1
0 2 1
0 2 2
10 9
0 0 0
1 0 1
2 0 0
1 1 0
2 0 1
2 1 0
1 0 0
2 0 2
0 2 1
0 1 1
10 5
2 1 2
1 2 2
1 2 1
1 0 1
0 1 2
2 0 2
0 1 1
1 0 0
2 1 1
2 1 0
10 3
2 3 2
2 2 1
2 1 0
0 2 1
1 1 2
2 3 1
3 1 2
0 0 1
0 2 3
2 0 2
10 6
1 1 1
0 0 3
0 1 1
1 1 0
3 2 2
2 2 3
2 2 1
0 3 0
3 0 1
2 3 2
10 9
0 0 1
2 2 1
2 1 0
1 2 2
0 2 2
1 0 0
1 1 0
2 1 2
1 0 1
2 0 0
10 7
2 1 1
0 2 1
0 0 1
0 2 2
1 1 2
0 0 0
0 1 2
1 0 1
1 2 2
0 2 0
10 4
1 0 2
0 1 1
2 1 0
0 3 0
1 3 3
0 1 3
1 1 1
3 3 2
1 3 0
2 2 1
10 9
1 0 2
1 1 1
2 2 0
0 1 2
2 0 1
2 0 0
0 0 2
1 0 1
0 0 1
2 0 2
10 8
2 1 1
3 3 2
2 0 0
3 1 1
1 1 1
0 3 1
1 3 0
0 3 2
0 2 2
1 2 3
10 4
2 2 2
0 1 2
1 2 0
1 1 0
2 0 0
2 1 2
2 2 1
0 2 1
2 0 2
1 1 2
10 8
1 0 0
0 1 2
2 1 2
0 1 0
2 1 1
1 2 1
2 0 1
1 1 1
0 2 2
0 2 0
10 9
3 3 2
0 1 2
1 0 2
3 3 0
2 0 3
1 2 1
2 3 0
3 1 1
1 1 0
2 1 0
10 9
2 0 2
0 2 0
0 0 1
0 0 0
1 1 2
1 2 1
0 2 2
0 0 2
2 0 1
2 1 1
10 9
0 0 1
1 1 2
1 1 1
0 1 0
2 0 2
1 2 0
0 2 1
1 2 1
0 1 1
2 1 2
10 8
0 1 1
2 1 0
2 2 0
0 2 1
0 2 2
2 1 2
2 0 0
2 2 2
1 0 2
0 2 0
10 8
0 1 2
1 2 1
2 2 1
2 0 1
1 0 1
2 1 0
1 2 0
1 1 0
2 1 1
2 0 2
10 6
2 3 3
3 3 1
2 0 0
1 0 0
0 1 1
1 2 2
3 2 1
3 1 3
3 1 2
2 2 0
10 2
0 2 2
2 1 1
1 0 0
0 0 1
1 0 1
2 2 2
2 0 2
0 2 0
2 2 1
0 0 0
10 7
2 0 2
3 1 2
0 0 2
1 0 1
1 2 0
2 2 1
1 2 3
0 1 2
0 2 0
0 2 1
10 7
0 1 2
2 0 2
0 1 0
2 1 2
0 1 1
0 0 2
2 0 1
1 2 1
0 2 0
2 1 1
10 9
3 0 2
0 1 1
2 2 1
3 1 0
2 2 2
1 2 0
3 0 1
1 3 1
0 2 1
0 0 1
10 7
1 1 2
2 1 3
1 3 1
3 2 3
1 2 2
3 0 3
2 0 3
1 1 0
3 2 1
0 2 2
10 5
2 1 2
2 2 1
1 2 2
0 0 0
0 2 0
0 1 2
0 1 0
1 2 1
2 0 1
1 1 0
10 5
3 3 0
2 1 0
3 2 2
3 0 3
1 0 1
3 2 0
0 1 1
1 2 3
0 1 0
0 0 3
10 3
2 1 1
0 1 0
2 0 0
2 0 1
2 1 0
1 0 0
1 2 0
0 0 1
1 1 2
2 0 2
10 3
0 1 3
1 3 0
3 0 0
2 2 2
3 0 1
0 0 1
0 1 0
2 0 1
0 0 0
1 3 3
10 8
2 0 1
1 3 1
2 1 2
1 0 0
0 1 0
2 3 2
0 3 1
1 1 1
0 1 1
1 3 3
10 6
0 2 0
2 0 3
1 3 3
2 2 1
0 3 3
2 3 1
3 3 1
1 0 3
2 1 0
1 0 1
10 2
3 1 1
2 1 1
1 1 3
3 0 1
1 2 1
2 1 0
3 3 0
1 3 2
0 0 1
3 0 0
10 9
1 1 1
1 1 2
1 0 0
0 1 1
0 1 0
1 0 1
2 0 2
2 2 1
2 0 1
0 0 0
10 8
1 0 0
0 0 2
0 2 1
1 1 1
1 0 1
0 2 0
1 0 2
1 2 1
1 1 0
2 0 0
10 5
2 0 1
2 2 1
0 2 2
0 0 0
1 0 2
1 2 2
2 2 0
1 0 0
0 2 0
2 1 0
10 9
1 0 2
2 2 2
2 2 1
2 1 2
0 2 1
0 2 2
0 0 1
1 2 2
1 1 2
0 0 2
10 4
0 0 3
2 3 3
2 0 3
3 3 0
3 2 2
1 0 3
3 1 3
1 3 0
3 0 3
1 3 1
10 4
2 3 3
0 1 2
2 1 1
3 2 1
3 3 3
0 2 0
3 0 0
0 3 0
1 0 3
1 3 2
10 3
0 0 2
1 1 2
2 0 0
2 2 1
1 0 1
1 2 2
0 0 1
2 2 2
2 1 0
0 1 1
10 8
2 0 1
0 1 1
0 2 1
2 2 0
1 1 0
0 2 2
2 0 0
0 0 2
0 0 0
1 2 0
10 3
1 0 0
0 1 2
1 2 2
2 1 2
2 0 2
0 1 0
0 2 1
0 0 2
1 0 2
1 2 1
10 3
2 0 2
1 0 1
1 0 2
0 2 1
0 2 0
0 0 2
2 0 0
1 1 0
1 2 1
0 1 0
10 8
0 2 2
0 2 1
2 2 0
1 0 0
2 2 1
1 1 0
2 1 0
1 1 1
1 2 1
2 1 2
10 7
0 1 1
0 0 0
1 2 2
1 0 0
1 0 2
2 2 2
1 1 1
2 0 2
0 0 1
0 1 2
10 4
1 3 2
1 3 3
1 3 1
0 0 3
2 2 2
1 2 3
3 0 2
3 0 1
2 3 2
1 0 2
10 9
2 0 2
3 2 1
0 0 1
3 1 0
0 2 1
0 0 3
1 0 2
0 2 0
2 3 3
3 2 0
10 3
2 0 2
0 1 2
1 0 1
2 2 0
1 0 0
1 1 1
0 0 2
2 2 2
0 0 1
0 2 1
10 4
2 1 2
1 0 1
2 0 0
1 0 2
0 2 1
1 2 0
0 0 1
0 0 0
0 1 0
0 0 2
10 9
1 0 0
1 2 0
0 1 0
0 2 0
2 1 1
1 1 1
2 0 1
2 2 0
1 2 2
0 0 0
10 5
0 2 1
3 2 3
1 0 1
2 1 2
3 0 3
1 3 3
0 1 0
1 3 2
1 2 2
0 3 2
10 5
3 0 0
0 1 0
2 1 1
0 3 0
0 0 1
0 1 3
2 1 0
0 1 2
2 3 3
0 0 3
10 9
2 1 1
3 3 0
2 2 1
1 0 1
1 1 2
3 1 3
2 0 1
1 2 0
2 3 1
1 2 3
10 5
2 0 2
1 0 2
2 1 2
0 1 2
2 1 0
2 2 2
0 1 0
1 1 0
2 0 1
1 1 1
10 2
0 0 2
2 1 1
0 0 0
2 1 0
0 2 1
2 0 1
1 1 0
1 1 2
1 0 1
1 1 1
10 5
2 1 3
3 2 2
2 2 0
0 0 0
0 3 1
3 2 1
3 3 1
2 0 1
3 0 2
3 0 0
10 2
0 2 2
0 0 2
1 1 1
1 0 1
2 0 1
2 1 0
3 2 1
0 0 0
3 2 3
2 3 1
10 9
1 2 0
0 0 0
2 1 0
1 0 2
1 2 1
0 2 2
2 1 1
0 0 2
1 1 2
2 2 0
10 4
2 1 0
1 0 1
1 2 2
0 2 2
2 2 0
0 0 2
1 0 0
2 0 0
2 1 2
1 1 2
10 5
2 1 0
2 2 2
2 1 3
2 2 0
0 1 0
3 2 1
1 3 2
3 1 0
1 1 2
2 0 1
10 8
1 2 1
0 2 3
3 3 0
3 3 1
2 0 1
0 2 0
2 1 2
1 0 1
0 1 1
3 1 0
10 9
0 1 0
1 0 2
1 1 0
0 0 0
2 2 0
0 1 1
0 0 1
1 2 2
2 1 2
2 2 1
10 9
1 2 0
1 1 0
2 2 0
1 0 1
1 0 0
1 1 1
1 2 1
1 0 2
0 0 0
2 1 1
10 9
0 2 2
1 1 0
0 1 0
1 2 1
2 2 2
2 2 1
0 0 2
1 2 0
0 1 1
1 1 1
10 5
1 0 0
2 0 1
0 0 1
0 1 0
2 1 1
1 2 0
1 1 0
1 1 2
2 1 0
2 2 1
10 9
2 2 0
2 2 2
2 0 1
3 3 0
1 2 1
1 2 3
0 0 3
1 1 0
1 0 1
2 1 1
10 4
3 2 2
0 1 3
0 1 0
0 2 3
2 1 0
1 1 0
2 0 0
1 0 0
0 2 0
1 1 3
10 4
3 3 0
1 3 0
1 2 0
3 0 3
3 2 3
2 3 3
3 0 0
2 3 0
1 2 2
2 2 2
10 4
0 0 0
0 1 0
2 1 0
0 0 2
1 2 0
0 1 1
1 0 1
2 2 1
0 2 1
2 2 2
10 4
0 2 2
2 0 0
0 0 0
2 1 2
2 1 1
0 1 0
2 2 2
1 2 2
1 2 1
0 0 1
10 2
2 0 0
0 1 1
2 1 1
2 1 0
0 0 2
1 2 1
2 0 2
0 2 0
1 2 0
2 2 2
10 8
0 2 2
1 1 2
0 0 2
0 0 0
1 0 2
0 1 0
0 1 2
2 2 0
1 1 1
2 2 1
10 3
0 0 1
2 1 0
1 2 1
2 2 2
2 0 2
0 0 0
1 0 1
2 1 2
0 1 2
1 0 2
10 2
2 2 2
0 1 0
1 1 3
1 0 1
2 1 0
2 3 0
3 2 3
0 3 1
1 2 3
2 2 0
10 3
2 1 2
0 2 0
3 0 2
3 1 2
0 1 1
1 2 2
1 2 1
1 0 2
2 0 1
0 3 1
10 7
0 0 0
1 1 1
2 1 1
1 1 2
0 1 2
2 0 0
0 1 0
2 2 2
2 0 1
2 0 2
10 8
1 1 2
2 1 0
0 1 0
2 0 2
1 0 1
0 0 1
2 0 0
0 1 1
2 2 0
0 0 0
10 4
1 0 0
2 1 0
0 0 1
2 2 0
1 1 2
1 2 2
1 1 1
0 0 2
2 1 2
0 1 0
10 8
1 1 3
2 3 3
0 1 2
0 0 2
0 2 1
3 0 2
0 3 0
2 2 3
2 1 2
1 3 3
10 5
0 0 1
1 1 2
0 1 0
0 2 0
2 1 2
1 1 1
0 2 2
0 2 1
2 2 0
1 2 1
10 7
2 1 2
0 0 1
1 2 2
0 2 1
2 0 0
1 1 0
0 2 2
2 1 0
1 0 0
0 0 0
10 3
0 2 0
1 1 1
2 2 1
0 1 0
2 0 1
0 0 0
0 0 2
2 1 0
2 1 2
1 1 2
10 8
0 1 1
2 0 1
1 0 0
1 1 2
1 2 0
2 1 2
2 2 1
1 1 0
0 2 2
0 0 0
10 5
1 1 1
0 2 1
1 2 1
1 0 2
1 0 1
0 2 2
0 1 2
2 2 0
1 1 0
2 0 1
10 2
0 2 1
0 2 0
1 0 1
0 1 1
1 2 1
1 1 1
0 2 2
1 0 0
1 0 2
1 1 2
10 7
0 2 2
1 0 3
0 3 3
1 1 2
3 3 3
0 3 1
0 1 2
3 0 0
0 3 0
3 1 3
10 4
3 2 0
2 1 1
3 1 2
3 0 1
3 0 0
2 0 1
1 3 1
0 0 2
2 3 0
0 2 2
10 8
0 2 1
1 2 2
0 1 2
1 1 0
0 2 0
1 1 2
0 0 2
2 1 0
1 2 0
0 1 1
10 2
0 2 3
3 3 0
2 1 1
3 0 1
0 3 0
2 2 1
3 1 2
0 1 1
0 3 1
2 0 1
10 8
0 3 2
3 2 1
2 2 0
1 2 0
3 2 2
1 0 3
0 3 0
1 2 3
2 0 1
1 3 2
10 4
1 0 2
1 1 0
0 0 2
1 2 1
0 0 1
2 1 2
2 2 0
1 0 0
0 2 0
1 2 0
10 8
0 0 0
1 0 2
1 2 0
2 1 0
1 2 1
1 2 2
2 0 2
2 2 2
2 1 2
0 2 2
10 4
0 2 1
0 2 2
2 2 2
2 0 0
0 1 2
2 0 1
2 1 0
0 2 0
0 0 2
1 2 1
10 8
2 2 0
1 1 1
1 1 2
0 2 2
1 2 1
1 2 0
1 2 2
2 1 2
2 0 1
0 2 0
10 7
2 1 3
1 3 0
1 3 3
3 0 1
3 1 1
1 1 2
0 3 0
2 3 0
3 0 2
0 3 2
10 3
0 0 0
2 2 2
2 0 2
1 0 2
1 2 2
1 2 0
2 2 0
2 1 1
0 0 1
0 2 1
10 4
3 3 3
2 2 3
3 1 2
2 2 2
3 1 1
1 2 0
1 0 3
2 3 3
0 0 2
2 1 2
10 6
2 0 0
1 0 1
2 0 2
2 2 2
1 1 1
2 2 0
1 1 2
1 2 1
0 2 2
0 0 0
10 3
2 0 1
1 0 2
3 2 3
1 1 0
1 1 3
1 3 3
3 1 1
0 2 2
2 3 3
2 3 0
10 6
0 2 2
2 0 1
1 2 1
2 2 2
1 2 2
1 0 0
1 1 2
2 0 2
0 2 0
1 1 0
10 9
1 1 1
1 1 2
1 2 2
0 2 2
0 1 1
1 0 1
2 0 0
2 2 2
1 1 0
1 0 2
10 9
2 1 0
1 1 1
1 0 1
1 2 1
2 1 1
1 1 2
0 1 2
0 1 0
2 1 2
0 1 1
10 7
1 3 0
2 2 2
1 2 2
2 1 1
0 1 3
3 1 1
2 0 3
1 3 3
1 3 2
2 3 2
10 5
2 2 2
0 1 0
1 1 0
1 2 2
1 3 3
3 0 3
0 3 1
1 2 0
3 3 2
0 2 3
10 7
1 0 0
2 3 3
0 3 2
2 0 2
2 1 1
1 1 2
3 1 0
3 3 1
1 0 3
1 3 0
10 7
3 2 2
0 1 2
2 1 3
0 3 3
2 1 0
3 1 2
1 1 3
2 0 2
2 3 2
2 2 2
10 4
0 2 3
0 3 2
2 2 3
3 3 3
1 0 0
1 0 2
3 3 1
0 2 1
2 2 2
0 3 1
10 5
2 2 0
2 1 1
1 1 1
0 1 0
2 0 1
1 0 0
2 1 2
1 0 1
0 2 0
1 2 2
10 5
0 1 1
1 0 2
2 2 1
1 0 0
2 1 2
1 2 1
1 2 0
1 1 0
2 0 0
2 2 0
10 4
2 2 1
2 0 0
0 0 2
2 1 1
0 1 1
0 2 1
0 0 0
2 1 0
1 2 1
2 2 0
10 4
1 0 1
0 1 1
2 1 1
2 2 1
0 2 0
1 0 0
1 2 1
0 2 2
2 0 0
0 1 2
10 3
2 0 1
2 1 1
1 1 0
2 1 0
1 0 2
2 0 0
1 2 0
0 0 2
1 2 1
1 1 1
10 9
2 1 1
0 0 2
1 2 0
1 2 2
2 0 2
2 1 0
0 1 2
0 2 1
2 0 0
0 1 0
10 8
0 2 1
0 1 3
2 3 2
0 2 3
3 1 0
1 2 0
3 0 1
1 3 0
0 3 3
2 2 1
10 6
2 2 0
0 2 1
0 0 2
2 0 1
1 1 0
1 0 1
2 1 0
2 1 2
2 0 0
0 0 1
10 5
2 1 0
0 2 2
2 1 2
1 2 0
2 0 1
0 0 1
2 1 1
2 0 0
0 0 2
0 2 1
10 2
0 3 3
3 3 2
1 0 0
1 3 1
2 2 0
2 3 2
0 3 0
1 2 3
0 2 3
3 2 1
10 2
2 1 1
2 0 1
2 2 2
0 2 0
0 2 1
0 0 1
2 0 2
1 1 0
1 0 0
2 1 2
10 4
2 2 3
1 1 2
2 1 3
0 2 1
0 1 3
2 2 2
2 3 0
1 2 1
0 0 1
1 0 2
10 6
2 2 0
0 1 1
1 0 0
0 2 2
2 2 1
2 2 2
1 2 2
1 1 0
0 1 0
0 0 2
10 7
1 1 2
0 3 0
3 1 1
2 0 3
0 1 3
3 3 0
1 0 1
1 2 3
1 2 1
1 3 2
10 3
0 1 3
0 1 1
3 1 0
3 0 2
0 1 0
0 3 1
1 3 1
2 3 3
0 3 3
2 3 1
10 3
2 1 2
1 0 1
2 1 0
1 2 0
1 1 0
2 0 2
0 2 0
0 0 0
0 2 2
2 2 2
10 5
2 0 2
2 2 2
1 1 2
2 1 0
1 0 0
0 1 2
1 1 0
1 2 0
2 2 1
1 2 2
10 2
1 1 1
2 0 2
2 0 1
2 2 2
2 1 1
0 2 1
1 2 0
0 2 2
0 1 0
0 1 2
10 3
0 2 0
0 0 2
0 2 1
0 1 1
2 2 0
1 1 0
0 1 0
2 2 1
2 0 2
0 1 2
10 5
0 0 1
1 3 1
0 2 0
0 1 3
3 0 3
3 2 1
1 3 2
1 3 0
1 0 2
2 3 3
10 3
2 3 2
0 1 1
0 3 1
3 1 1
3 2 0
0 2 3
3 2 1
3 1 3
2 0 0
0 0 1
10 8
2 0 2
2 2 1
2 3 0
0 1 0
0 0 1
2 1 0
1 0 2
0 3 2
3 3 3
3 2 2
10 7
2 3 0
3 0 2
3 3 2
2 2 0
1 0 3
1 0 2
1 1 2
2 0 3
3 1 2
2 0 2
10 3
3 3 3
0 0 2
0 1 0
2 2 0
0 0 1
3 1 2
0 2 1
2 3 0
0 3 3
0 0 0
10 6
1 0 2
2 2 2
2 0 0
2 0 2
1 0 0
1 2 0
2 0 1
2 2 1
0 1 0
1 2 1
10 3
2 2 1
1 1 1
0 1 0
0 0 1
1 1 0
2 0 0
0 0 0
1 2 0
0 2 1
2 1 0
10 2
1 0 0
1 2 1
1 0 1
2 1 2
1 0 2
2 0 1
2 2 0
0 2 2
2 2 2
0 0 1
10 9
0 2 2
2 1 1
1 2 0
1 1 0
1 1 2
0 1 1
1 0 0
0 1 0
2 0 1
2 1 2
10 6
1 2 2
1 1 1
0 1 0
0 0 2
1 0 0
2 1 2
2 0 2
2 2 2
2 1 0
2 0 1
10 2
2 0 1
2 0 3
0 2 3
3 3 3
2 0 0
3 1 0
1 0 2
2 3 0
1 2 0
3 2 2
10 4
2 1 0
2 1 1
0 0 0
0 1 2
1 0 1
2 1 2
1 2 2
0 2 2
0 0 1
1 1 1
10 9
0 2 2
2 3 0
3 1 3
1 3 0
0 0 3
2 2 2
0 0 0
2 0 2
0 1 2
3 3 2
10 5
1 1 0
2 1 1
0 3 0
0 0 1
3 0 1
2 2 2
0 1 1
0 2 3
3 3 1
0 0 0
10 5
1 1 1
2 2 2
1 2 1
0 0 2
0 1 2
1 1 0
2 1 0
0 1 1
1 0 0
0 2 1
10 7
3 0 0
1 1 0
0 2 1
2 2 1
3 1 1
2 1 0
2 2 2
0 0 3
3 3 0
0 0 1
10 7
0 2 0
2 0 1
0 2 2
0 0 0
0 2 1
1 1 2
1 0 0
2 2 2
2 2 1
1 2 2
10 5
2 1 2
1 0 0
0 2 0
1 1 2
0 1 0
1 1 1
0 1 1
2 2 1
2 2 2
2 0 1
10 6
2 2 0
1 2 3
0 1 2
0 0 0
3 2 1
3 2 3
0 1 0
0 0 2
3 0 1
3 3 1
10 4
1 1 2
0 2 0
0 1 1
1 0 0
1 1 0
0 2 2
2 2 0
0 0 2
1 0 2
2 0 1
10 5
2 0 0
0 0 2
2 0 1
1 2 1
1 1 0
1 0 2
0 1 2
1 2 0
2 0 2
0 2 0
10 9
0 0 1
3 2 2
0 2 3
1 1 0
0 1 0
3 1 2
1 0 1
0 3 0
2 0 3
1 3 3
10 9
2 2 1
2 0 1
1 3 0
2 1 3
3 1 2
0 2 3
2 3 0
3 3 2
0 1 2
0 3 3
10 4
2 3 2
3 1 3
1 1 2
2 1 0
1 3 3
3 0 3
3 1 0
0 3 0
2 2 3
2 1 1
10 7
0 1 3
2 0 2
3 1 1
2 0 0
0 3 0
3 0 2
1 0 0
1 1 0
2 1 1
1 2 0
10 5
1 2 2
0 1 0
2 1 2
1 0 0
1 1 2
2 1 0
0 1 2
1 2 0
2 2 2
0 1 1
10 6
2 0 2
0 1 2
0 1 1
2 0 0
2 1 0
0 0 0
0 2 1
0 0 1
1 1 2
0 0 2
10 6
3 2 2
1 0 0
1 2 2
2 3 1
1 0 1
0 1 0
1 1 0
1 1 3
2 3 0
3 0 0
10 9
2 0 2
1 1 0
2 1 2
2 1 1
1 2 1
1 2 0
2 1 0
1 1 2
2 2 0
0 2 2
10 2
0 0 2
2 1 1
1 1 0
0 0 1
2 1 2
1 0 2
2 2 2
2 0 0
1 2 1
0 1 1
10 9
1 1 2
0 0 1
0 0 2
1 2 1
1 1 1
1 2 2
2 0 2
2 0 1
1 0 2
0 0 0
10 5
0 0 1
2 0 2
1 2 1
1 2 2
1 0 2
0 2 0
1 1 1
2 2 2
0 2 1
1 0 1
10 6
1 0 1
0 0 2
2 2 2
1 2 2
1 1 1
1 2 0
2 2 0
1 0 2
2 0 0
1 1 2
10 9
0 0 0
2 2 0
1 3 2
2 2 3
3 3 0
0 0 2
1 0 3
3 1 3
0 1 3
3 0 3
10 3
0 1 0
0 0 2
1 1 0
2 1 2
1 1 1
2 0 2
0 2 1
2 0 1
1 2 1
0 2 0
10 6
1 1 1
2 1 1
0 2 0
2 2 2
0 1 0
2 0 1
0 0 1
1 2 1
0 0 2
2 1 0
10 8
0 1 3
3 0 2
1 3 2
2 1 1
2 0 3
1 3 1
2 3 1
0 0 1
0 2 2
1 0 2
10 8
1 3 2
2 3 3
2 0 3
0 2 2
3 0 3
0 0 1
2 1 2
2 3 2
2 1 1
1 0 2
10 9
2 0 2
0 0 0
2 2 2
1 3 3
0 3 3
1 0 1
0 3 2
0 2 3
2 2 1
2 1 0
10 8
2 0 2
0 1 1
0 0 2
2 1 1
1 2 0
2 1 0
0 0 0
2 1 2
0 2 0
0 1 0
10 6
1 0 1
1 0 0
2 1 2
0 1 1
2 2 0
0 0 2
2 1 1
2 1 0
2 2 2
1 2 2
10 4
3 2 0
1 1 3
2 1 3
1 2 1
2 0 0
0 2 0
0 2 2
2 2 3
3 1 3
3 2 2
10 9
1 2 2
0 2 3
0 1 1
2 0 2
3 1 1
2 2 2
2 2 0
3 1 2
1 2 0
2 1 3
10 6
3 1 3
2 1 1
1 1 3
0 1 2
1 2 1
2 0 2
2 2 1
2 3 3
0 0 3
2 0 0
10 5
0 0 1
0 0 2
2 0 0
2 0 2
1 2 2
0 0 0
2 2 1
1 1 1
1 1 2
2 1 2
10 9
2 3 3
3 0 3
1 3 1
2 1 2
0 3 0
2 3 2
1 2 3
2 2 0
3 3 0
1 1 0
10 7
1 0 2
2 0 2
0 2 2
1 1 0
1 0 0
2 2 0
0 0 0
2 1 1
1 1 1
2 0 1
10 2
1 0 0
1 3 0
2 0 3
2 3 0
1 3 1
3 0 0
0 2 1
1 3 3
2 0 2
0 1 3
10 4
1 0 0
2 1 0
2 1 2
0 2 1
1 1 0
1 2 1
0 0 0
0 2 0
2 1 1
2 0 1
10 2
1 1 0
0 2 0
0 2 1
1 1 1
2 2 2
0 1 1
1 0 2
0 1 2
1 0 0
1 2 0
10 9
2 2 3
1 1 1
2 1 3
0 2 2
2 3 0
1 0 1
3 2 3
3 1 1
0 2 0
0 0 0
10 2
2 1 1
3 1 2
3 3 0
0 0 2
2 2 3
2 3 2
2 0 3
3 0 3
1 1 0
1 0 3
10 4
2 2 2
0 1 1
1 1 2
0 2 1
0 0 2
2 2 0
1 1 0
2 2 1
1 2 2
0 1 2
10 3
1 1 1
1 3 2
0 1 1
3 2 3
2 3 1
0 3 2
0 1 0
1 1 2
0 3 0
1 0 3
10 4
2 1 2
0 0 0
2 1 0
2 2 2
0 0 2
1 1 0
0 2 0
0 2 2
2 2 0
2 0 0
10 5
0 1 0
1 2 3
0 2 1
2 3 2
0 3 0
3 0 0
0 0 0
1 3 1
3 2 3
1 1 0
10 4
0 3 2
0 0 1
2 0 0
2 2 3
3 3 3
0 3 1
0 0 2
1 3 3
1 3 0
2 0 1
10 5
2 1 1
2 2 2
2 2 1
0 1 0
1 1 2
2 0 1
2 1 0
0 1 1
0 0 0
2 2 0
10 7
0 0 2
0 1 2
0 1 1
1 2 1
1 1 0
2 0 0
1 0 1
1 0 2
2 1 0
2 1 2
10 6
2 3 0
1 1 0
3 1 3
3 3 0
2 2 1
0 2 2
2 0 0
0 3 2
3 1 0
3 1 1
10 6
2 3 0
1 1 2
3 1 0
3 1 1
2 1 2
0 3 2
3 2 1
0 1 1
3 0 0
0 0 0
10 9
2 2 0
2 2 1
0 1 1
0 2 2
2 1 2
2 0 1
1 2 2
0 0 1
2 0 2
0 0 2
10 4
2 1 2
0 0 1
0 2 0
1 0 2
0 0 0
1 2 1
0 1 0
2 2 1
1 2 2
0 1 1
10 5
2 2 1
1 1 2
0 2 0
0 1 2
1 1 1
0 0 1
2 2 0
2 0 0
2 1 2
1 1 0
10 5
0 0 1
2 3 3
3 0 0
2 0 0
1 1 1
2 3 0
2 0 1
1 2 1
1 2 2
0 2 1
10 2
1 3 1
1 1 2
3 1 0
3 2 2
0 2 0
2 1 1
0 0 2
0 3 0
0 1 1
0 3 1
10 8
1 0 1
3 0 3
2 2 2
1 0 3
2 3 3
2 0 3
1 1 1
2 3 2
0 0 3
3 2 0
10 2
3 1 1
2 3 1
1 2 0
3 2 3
2 0 3
3 3 0
0 3 3
0 1 3
1 3 0
1 1 2
10 4
2 3 0
2 1 1
2 1 3
0 0 0
2 3 2
2 1 0
0 3 1
3 1 0
1 2 1
3 2 0
10 9
2 0 1
2 2 2
2 2 0
1 0 1
0 1 0
2 0 0
0 0 2
2 0 2
0 0 0
2 1 1
10 2
1 2 0
1 2 2
2 2 2
2 0 1
2 2 0
1 1 2
2 1 1
1 0 1
0 2 0
1 1 0
10 4
1 0 2
2 1 3
2 2 2
2 0 3
1 0 1
3 1 2
0 1 1
1 1 1
3 1 3
0 2 0
10 5
2 0 1
0 0 1
0 0 2
2 1 2
0 1 1
0 1 2
2 2 1
2 0 0
1 1 0
0 1 0
10 7
1 0 0
0 1 2
3 1 1
2 2 1
3 0 3
2 0 2
2 1 3
1 3 3
1 3 2
1 3 1
10 5
1 0 2
0 2 0
0 0 2
0 1 1
1 0 1
2 2 1
1 2 1
2 2 2
0 0 1
1 1 2
10 7
1 1 1
0 0 2
0 1 0
2 1 1
1 2 0
2 0 0
1 0 1
2 0 2
1 1 2
2 1 2
10 8
2 0 2
2 2 0
0 2 2
1 2 1
0 1 0
1 1 2
1 1 0
0 0 0
2 1 2
2 0 1
10 3
2 3 0
0 2 1
1 3 1
0 3 1
1 2 0
3 1 1
0 0 0
1 3 3
3 3 2
1 3 2
10 2
3 3 3
1 3 3
1 0 2
0 0 1
1 1 0
3 2 2
0 0 3
2 0 2
1 0 3
2 1 0
10 5
0 3 3
1 3 2
2 3 0
2 2 2
0 1 3
1 0 2
0 2 0
1 3 0
2 3 3
1 1 1
10 7
2 0 2
0 2 2
0 0 0
1 0 0
2 2 0
0 1 1
1 1 1
2 2 2
2 2 1
2 1 2
10 9
0 0 1
2 0 0
1 1 0
2 2 0
1 2 2
1 2 0
0 1 0
0 0 2
1 0 1
2 1 1
10 6
2 2 2
2 0 2
2 1 2
0 1 1
1 2 0
1 2 1
1 0 0
2 1 0
0 2 0
1 1 0
10 7
0 0 2
2 0 1
1 2 2
0 0 1
2 2 2
0 0 0
0 2 0
1 2 1
1 0 2
0 1 0
10 4
0 1 1
0 3 2
1 0 1
3 2 0
1 3 3
3 3 0
3 2 1
3 0 1
3 2 2
0 0 1
10 5
2 2 1
0 0 1
0 0 0
2 0 2
1 0 0
2 1 1
0 0 2
1 1 0
1 2 0
2 1 0
10 4
1 1 0
3 2 0
0 3 1
1 0 3
2 2 3
0 2 3
2 1 2
1 0 2
1 2 1
3 1 1
10 7
0 2 0
3 2 2
0 3 2
0 1 1
1 3 2
2 1 3
3 3 0
3 3 1
0 3 3
2 3 0
10 8
0 0 3
0 0 1
0 1 1
1 3 0
3 3 1
1 0 2
0 2 2
3 3 2
1 1 0
2 1 2
10 6
1 0 0
1 1 1
2 2 1
0 0 1
2 0 0
1 1 0
1 0 1
2 1 0
0 1 0
0 1 1
10 6
2 1 0
0 0 1
2 1 1
0 1 0
0 1 2
2 2 2
2 0 0
0 2 0
1 1 2
1 2 2
10 7
0 0 2
0 1 1
2 2 1
2 0 1
1 1 2
1 0 1
1 0 0
1 1 0
1 1 1
2 0 2
10 5
2 1 0
0 2 0
1 0 0
2 2 3
1 2 1
0 1 3
2 2 0
2 0 3
1 0 1
3 3 3
10 3
1 0 2
0 0 1
3 1 3
3 0 1
0 3 1
0 0 0
3 1 0
0 1 2
0 2 1
2 0 3
10 2
2 2 0
3 1 2
2 3 0
1 1 3
0 0 1
3 0 0
3 3 0
1 2 1
2 2 1
2 3 1
10 6
3 2 2
0 3 2
2 2 0
0 2 1
0 1 1
2 1 3
1 1 2
3 0 2
0 2 3
0 1 2
10 4
1 0 1
0 2 0
2 2 1
2 0 0
1 2 0
0 1 2
1 0 0
1 1 0
1 1 2
1 2 1
10 8
3 2 0
2 0 2
1 1 2
1 2 3
2 0 1
0 2 3
0 2 0
2 3 2
3 0 2
3 2 3
10 8
1 1 3
3 0 1
3 0 2
1 0 1
3 0 3
2 2 0
1 0 2
1 3 0
3 1 3
0 3 0
10 9
2 0 1
1 0 1
0 0 1
2 0 0
0 0 2
0 1 1
0 2 0
1 2 2
2 1 1
1 0 2
10 2
2 0 2
1 1 1
2 2 2
1 0 0
0 2 0
2 1 0
0 2 1
0 0 0
1 2 2
2 1 2
10 9
3 3 2
2 3 1
1 3 0
3 2 3
0 0 2
3 3 0
3 1 1
2 3 3
2 3 2
0 2 3
10 2
2 3 2
2 3 0
2 2 1
1 0 1
3 1 1
0 2 3
3 1 0
0 1 0
2 2 3
1 1 0
10 7
2 3 2
2 3 1
0 1 2
2 3 0
1 1 0
2 2 1
0 2 2
0 0 0
1 0 0
1 2 1
10 4
0 2 3
1 1 1
2 0 2
1 1 0
0 0 2
3 2 1
0 3 1
1 2 0
2 1 1
0 3 0
10 7
2 1 0
3 1 2
0 2 1
3 0 3
1 1 0
1 3 3
3 0 0
0 3 1
3 2 2
3 0 1
10 9
0 0 0
3 0 3
0 3 3
3 1 1
3 1 0
0 3 2
0 2 3
1 0 2
2 1 3
1 2 2
10 5
0 2 1
2 2 1
0 1 1
0 1 0
0 2 0
2 2 0
1 0 2
2 1 1
1 2 2
1 1 0
10 6
1 1 2
0 1 1
2 0 1
0 1 0
2 2 0
1 0 0
1 2 1
1 2 0
0 2 2
2 0 2
10 3
2 2 1
1 0 2
0 2 1
0 0 1
2 1 0
2 2 0
0 2 0
0 1 0
2 2 2
0 0 2
10 2
2 2 2
3 2 1
0 0 0
0 1 2
3 2 0
0 1 0
1 2 2
3 1 1
0 2 3
1 1 3
10 9
2 1 1
1 0 2
2 1 0
2 0 1
0 2 1
1 2 2
1 1 2
1 2 0
1 0 1
0 1 1
10 7
0 0 1
0 1 0
3 3 1
3 0 0
2 2 3
2 1 3
2 3 2
3 1 2
2 1 1
0 2 1
10 8
1 2 0
0 2 2
3 0 0
1 2 3
0 3 2
3 1 0
2 3 2
1 3 0
3 0 3
2 2 3
10 9
3 0 2
2 2 0
3 3 3
1 3 2
1 1 0
1 1 3
3 2 3
0 2 2
2 3 3
3 2 0
10 2
2 1 2
2 2 1
2 2 2
1 2 2
0 2 1
1 1 0
1 1 1
0 0 1
1 0 2
0 0 2
10 3
1 1 2
2 2 0
0 2 2
2 0 0
2 0 2
2 0 1
1 1 0
0 0 2
1 2 0
1 0 1
10 6
2 0 0
0 1 1
1 1 0
0 1 2
0 0 1
0 2 2
2 0 1
1 0 0
2 2 0
0 2 0
10 3
1 2 2
0 0 2
2 0 2
1 2 0
1 1 0
2 2 0
0 2 2
0 0 1
2 0 1
2 0 0
10 3
2 0 2
1 2 3
0 0 2
3 0 0
3 2 2
1 0 1
0 0 1
1 2 0
0 2 0
0 1 1
10 9
2 0 3
0 3 1
0 3 0
3 0 2
3 3 3
3 2 0
2 0 0
3 3 0
0 2 0
3 1 1
10 7
2 0 0
0 2 1
1 2 2
1 0 1
2 1 1
2 2 2
0 0 1
0 0 0
0 1 1
1 1 0
10 3
3 3 1
1 0 1
2 0 3
0 0 2
2 2 1
1 2 2
3 2 1
2 0 2
2 3 1
2 1 3
10 4
1 0 2
0 2 0
1 0 0
2 1 2
1 2 1
2 1 1
0 1 1
1 1 0
2 2 1
0 1 0
10 9
1 2 1
2 3 3
0 1 3
1 2 0
0 1 0
3 1 0
0 0 2
1 1 3
2 0 0
3 3 2
10 7
2 2 0
2 0 2
2 1 1
0 1 1
0 1 0
1 0 1
1 1 2
2 1 0
2 1 2
0 2 1
10 6
1 1 2
1 0 1
1 1 0
0 0 2
0 1 1
0 1 0
2 2 0
1 0 2
0 2 0
1 2 0
10 9
0 0 2
1 1 3
2 3 1
0 2 0
3 2 3
2 0 1
2 0 0
3 0 1
1 2 3
3 3 2
10 8
2 0 1
2 1 1
0 2 1
0 1 0
0 2 2
1 2 2
2 2 0
1 1 2
2 0 2
1 1 1
10 9
1 0 2
0 2 2
2 2 0
2 0 1
0 0 0
2 1 0
0 2 1
2 1 1
1 2 1
2 0 2
10 6
0 0 1
2 2 1
1 1 1
2 1 0
2 0 1
0 2 0
1 2 0
2 0 2
1 1 2
0 1 2
10 9
2 3 3
2 1 3
3 3 0
2 3 0
1 3 0
2 0 2
0 0 2
1 3 3
2 1 0
2 3 1
10 2
1 2 1
1 1 1
0 0 0
2 3 2
2 2 1
2 1 2
2 0 0
3 2 3
3 1 2
3 1 3
10 4
1 1 1
2 1 0
0 2 1
2 2 2
0 1 1
0 1 0
1 2 2
0 0 2
1 1 0
2 0 2
10 3
0 2 3
1 3 0
2 0 3
0 0 2
3 2 2
2 3 3
1 0 3
3 3 2
3 0 2
3 1 3
10 6
1 3 0
2 1 0
0 3 1
1 1 1
0 1 2
0 3 3
2 3 1
0 1 1
3 3 1
3 0 2
10 3
1 1 0
1 0 1
0 2 2
0 2 1
1 2 1
1 1 2
1 0 2
0 0 1
0 2 0
2 0 1
10 8
3 0 3
2 3 2
1 2 2
3 3 3
0 1 3
3 3 0
2 2 0
0 3 3
3 1 2
1 2 3
10 7
1 2 0
2 3 2
1 2 3
0 0 2
2 3 3
2 1 2
3 0 2
2 3 1
3 2 2
2 1 1
10 2
3 0 2
3 2 0
1 1 3
1 0 0
3 1 1
3 1 0
2 2 3
0 1 2
1 3 1
1 3 2
10 6
1 1 2
1 0 2
0 0 1
2 0 2
0 1 2
2 2 2
2 1 2
1 2 0
1 0 0
0 1 1
10 3
0 0 0
1 2 1
2 0 0
0 2 1
2 1 0
0 2 2
0 2 0
2 2 2
0 1 0
1 2 2
10 7
0 1 2
0 0 3
2 0 0
2 2 2
1 0 1
2 3 3
1 2 1
3 2 0
3 1 0
1 0 2
10 3
1 0 0
1 2 1
2 2 2
0 1 1
2 2 0
0 2 1
2 0 2
1 2 0
2 1 0
0 2 0
10 7
1 3 1
0 2 2
2 1 2
2 3 1
3 3 1
1 0 3
1 0 2
2 2 1
2 1 3
3 3 0
10 3
2 2 1
1 1 2
0 1 1
2 2 0
2 1 2
2 0 1
0 0 1
0 0 2
2 1 1
1 0 2
10 6
0 2 3
2 3 3
0 0 2
2 3 1
1 3 3
3 2 3
2 2 3
3 1 1
3 1 2
1 3 2
10 7
2 0 1
2 1 0
0 3 0
3 1 3
1 2 2
1 1 1
1 1 2
1 3 3
1 2 3
1 0 1
10 6
0 2 1
2 1 1
1 0 2
2 1 2
3 0 2
3 1 2
3 3 2
1 1 3
0 1 2
2 0 2
10 4
2 1 0
2 0 2
0 2 2
2 1 1
1 1 0
0 0 1
2 0 0
0 2 1
1 0 2
1 2 0
10 5
1 3 3
3 0 0
3 0 3
2 1 0
2 3 0
1 1 1
3 3 3
1 1 0
0 3 1
0 3 0
10 5
1 1 0
1 0 0
1 1 2
0 1 0
1 2 1
2 2 1
1 0 2
1 1 1
0 1 2
0 2 1
10 5
0 1 0
0 2 2
1 0 1
0 0 2
0 0 0
1 0 0
2 2 1
2 1 0
0 2 1
2 0 2
10 9
2 2 0
0 1 1
3 0 3
1 2 0
3 2 1
2 3 1
2 1 3
1 2 1
3 0 0
0 2 1
10 8
2 2 0
0 1 1
0 2 1
1 1 2
0 1 0
0 0 0
2 1 0
2 2 1
1 1 1
2 0 0
10 3
3 1 1
1 2 3
3 2 2
3 3 2
2 3 2
1 2 0
3 0 3
3 3 0
0 3 0
2 0 1
10 9
2 0 0
0 2 1
0 0 1
0 2 0
0 1 0
2 2 1
2 0 2
0 0 2
2 1 0
1 2 0
10 2
0 1 0
1 2 2
0 2 0
1 2 0
2 1 0
0 1 1
1 0 2
2 0 1
0 1 2
1 1 0
10 2
0 3 2
3 2 1
2 3 3
0 1 3
0 3 3
2 1 2
3 0 0
0 1 2
3 0 2
1 3 2
10 4
2 2 1
2 0 2
0 1 0
2 1 1
1 2 2
1 2 1
1 2 0
2 1 2
0 1 1
0 0 1
10 2
2 0 3
1 0 0
2 0 2
1 0 3
3 3 2
1 0 2
2 1 2
0 1 2
3 1 1
1 3 3
10 9
1 0 1
1 1 2
1 1 1
1 0 0
1 1 0
2 0 0
2 1 0
0 0 0
2 0 1
1 2 2
10 2
3 1 0
0 1 0
2 3 1
0 2 3
2 3 2
3 1 1
3 3 3
1 1 1
0 0 1
1 3 1
10 4
0 2 0
2 0 0
3 1 2
1 1 3
2 2 1
1 2 2
2 3 1
0 0 0
3 3 1
1 2 0
10 2
0 0 2
3 3 1
0 2 3
2 0 3
0 2 1
0 3 2
0 1 0
1 2 2
2 1 3
1 3 0
10 9
0 0 0
1 3 1
3 0 3
3 0 1
1 1 0
2 1 2
0 2 1
2 3 2
0 2 0
3 3 3
10 7
2 0 0
2 1 1
1 0 2
2 1 0
1 2 1
0 1 0
1 1 0
0 1 1
2 2 0
1 2 2
10 9
0 2 2
0 0 1
0 1 1
1 2 1
1 0 1
2 2 0
1 1 2
0 0 0
1 2 2
0 0 2
10 3
2 2 2
1 0 2
2 1 0
0 1 2
1 2 2
2 2 1
0 2 2
1 1 2
1 1 1
1 2 0
10 8
0 2 2
1 2 1
0 0 2
1 1 0
2 1 1
2 2 2
0 1 0
2 2 0
1 2 2
0 2 0
10 2
2 2 1
3 1 0
0 0 2
3 2 1
1 0 1
1 1 1
0 2 2
0 1 0
2 1 1
2 1 0
10 7
1 0 0
2 1 0
1 1 1
1 1 0
2 0 0
1 0 1
1 2 1
1 1 2
1 2 0
0 2 1
10 8
1 0 0
2 2 2
2 0 2
2 1 2
2 1 1
0 2 2
1 1 0
1 0 1
0 1 2
0 2 0
10 2
0 0 0
2 2 0
2 1 2
2 2 1
0 2 0
1 0 2
1 2 1
0 2 2
2 0 2
1 0 0
10 8
1 0 1
0 1 0
1 0 0
0 0 1
2 0 1
1 1 0
2 0 2
2 2 1
2 1 0
2 0 0
10 7
1 2 0
2 0 0
1 2 1
0 0 1
2 0 1
1 1 1
2 1 2
0 0 0
2 2 1
0 1 2
10 6
3 1 1
0 0 0
0 0 2
0 1 0
1 2 2
2 1 1
0 1 3
0 0 3
1 0 1
2 3 0
10 3
0 2 2
1 1 0
1 2 2
2 2 1
0 2 0
0 0 1
2 0 1
0 0 0
2 0 0
2 1 2
10 8
3 3 2
0 1 0
1 0 0
2 3 0
2 2 3
2 0 2
1 2 2
2 1 2
3 3 3
1 2 1
10 9
3 0 1
2 1 1
1 0 1
0 0 0
3 0 3
0 1 0
2 1 0
0 1 2
1 2 1
0 3 0
10 9
0 0 0
1 1 1
2 2 0
0 2 1
2 2 2
1 1 0
2 1 1
1 2 1
0 1 0
1 1 2
10 4
1 0 0
0 2 2
2 3 2
0 1 1
0 3 1
1 2 0
3 1 1
0 3 2
3 1 2
3 0 0
10 9
2 3 2
2 3 1
3 3 2
0 1 1
1 0 3
2 0 2
0 3 0
1 0 0
0 3 1
0 0 1
10 7
0 3 2
0 1 2
2 2 0
2 3 1
1 3 0
0 3 0
2 2 2
1 0 3
0 1 3
1 2 3
10 6
0 0 2
1 2 1
1 0 2
2 2 0
2 1 0
2 2 1
2 1 1
1 2 2
1 0 0
1 1 0
10 8
1 2 0
1 0 1
0 0 2
2 2 1
0 2 1
0 1 2
0 0 0
2 2 2
2 1 2
0 1 1
10 2
3 1 0
3 2 1
0 2 2
2 1 1
0 1 2
3 3 0
1 0 1
0 2 1
1 0 2
3 2 2
10 7
2 3 3
2 1 0
3 0 0
1 0 1
0 3 2
2 0 1
1 1 0
3 1 3
2 1 1
1 1 2
10 7
0 2 1
2 2 2
1 2 0
0 1 1
0 0 1
1 1 2
0 0 0
0 1 2
1 2 1
2 0 0
10 6
2 2 1
1 0 0
2 1 2
1 0 2
1 1 0
1 1 1
2 0 0
1 2 2
1 0 1
1 1 2
10 8
2 2 0
2 1 0
1 2 2
0 0 2
1 1 2
0 2 0
0 1 2
2 0 2
0 2 2
1 0 2
10 3
1 1 2
1 2 1
1 0 2
0 0 1
2 0 1
0 0 2
2 0 0
0 2 2
0 1 2
2 2 0
10 2
3 0 3
2 2 0
1 0 1
3 0 1
2 2 2
0 2 0
2 0 2
3 0 2
2 0 1
0 1 3
10 5
2 1 1
2 2 1
0 1 2
1 0 2
2 0 2
2 1 0
0 2 2
0 1 1
1 2 1
1 2 2
10 5
1 2 0
1 2 3
0 2 0
2 1 3
3 2 3
1 1 3
3 3 0
2 3 3
2 1 0
0 3 3
10 2
0 2 3
1 3 0
1 2 1
1 1 3
2 1 1
3 3 0
3 1 2
3 2 0
0 1 3
3 3 1
10 2
1 1 1
2 2 2
2 1 1
1 1 0
0 2 2
1 0 2
2 0 1
0 1 0
1 2 0
1 2 2
10 7
1 0 1
2 0 2
1 2 1
1 2 2
2 1 2
2 0 1
1 0 0
0 1 1
2 1 1
0 2 2
10 5
3 3 0
2 2 2
3 0 1
1 1 0
1 2 0
1 3 1
0 0 0
1 2 3
2 2 3
2 2 0
10 9
0 3 0
1 3 0
2 2 3
2 3 2
3 1 2
1 0 1
0 1 1
3 3 1
2 1 1
3 0 0
10 9
0 0 0
0 0 3
0 3 3
0 2 3
2 0 3
0 3 1
3 3 3
2 2 1
0 2 2
3 1 0
10 2
2 0 2
1 2 0
1 0 3
1 1 0
1 2 3
3 3 0
1 2 1
0 1 1
0 0 3
0 1 0
10 8
2 1 1
1 1 1
0 2 0
0 0 0
1 1 0
0 2 2
0 1 1
2 0 2
2 0 1
1 2 0
10 7
0 0 2
2 1 2
2 2 1
1 1 1
0 2 0
0 0 1
0 1 2
1 1 0
1 0 0
1 0 1
10 8
1 2 2
0 1 1
1 3 2
0 0 2
2 2 1
0 1 2
1 1 1
3 3 2
2 1 0
2 2 3
10 2
0 0 1
1 1 1
2 2 1
0 1 1
0 0 2
2 1 2
0 1 0
1 0 0
1 1 0
1 2 1
10 5
2 0 3
1 2 3
3 2 2
1 3 3
3 0 3
3 1 3
0 2 0
3 0 2
2 3 3
0 0 1
10 3
2 2 1
0 1 1
0 2 1
2 1 1
0 1 0
2 2 2
1 2 0
0 0 2
1 0 0
2 1 0
10 9
1 2 3
1 3 2
2 1 2
3 0 0
3 0 3
1 1 0
3 0 1
1 3 3
0 1 2
1 0 3
10 5
3 2 3
2 0 1
0 3 1
0 1 3
2 0 0
2 3 3
3 1 1
3 0 1
0 3 3
0 1 1
10 9
1 3 3
3 1 0
2 0 1
3 2 1
1 2 2
3 3 2
2 0 3
0 1 0
3 0 2
1 0 0
10 3
0 0 3
1 0 1
2 2 1
2 3 1
1 1 1
2 1 3
0 0 1
0 0 2
0 1 1
1 0 0
10 8
0 3 3
3 0 3
1 0 1
3 2 1
1 3 2
1 0 2
1 1 0
1 2 2
1 3 3
0 1 3
10 5
0 1 2
1 3 2
2 0 1
1 3 1
2 3 0
2 1 3
0 0 2
3 0 2
0 2 0
1 1 3
10 2
2 1 0
1 0 1
0 1 0
0 2 0
1 1 2
1 0 2
2 0 2
0 1 2
2 1 2
2 2 2
10 7
2 0 0
1 0 1
0 2 0
2 1 2
0 0 0
1 2 2
2 2 0
2 2 2
0 2 1
0 1 0
10 2
0 3 0
2 3 1
3 0 1
3 3 0
0 0 0
1 1 2
2 2 1
3 3 3
1 0 1
1 3 1
10 4
0 1 0
1 1 1
2 2 1
3 3 2
1 0 0
1 3 1
1 2 2
0 0 3
0 0 1
1 2 0
10 4
0 0 2
0 0 1
2 0 1
2 1 2
1 2 1
0 1 2
2 2 1
1 2 2
0 1 1
1 2 0
10 8
0 2 0
1 1 1
0 2 1
0 0 2
0 0 1
1 0 0
0 1 2
0 1 1
1 0 2
1 0 1
10 5
2 0 3
1 0 0
2 3 3
0 0 1
3 1 3
1 2 0
3 0 3
3 2 1
1 0 3
0 2 3
10 7
1 1 0
0 1 1
2 0 1
0 0 2
2 2 0
1 2 1
0 0 0
1 2 2
2 2 1
2 0 0
10 2
3 2 0
3 1 2
0 3 2
1 0 0
0 0 1
1 3 2
0 3 3
1 0 3
0 2 0
3 1 1
10 4
1 1 1
3 2 3
1 3 3
2 1 1
1 1 3
3 3 3
0 2 0
1 0 0
1 2 1
2 3 2
10 6
0 0 0
1 2 1
2 2 1
3 3 0
2 0 3
3 1 3
0 0 2
0 1 1
3 0 3
1 2 3
10 9
2 0 2
0 0 0
1 2 2
1 0 2
2 1 1
0 2 2
0 1 1
2 0 0
2 2 2
1 0 1
10 9
0 0 0
1 1 0
2 0 0
0 2 0
2 0 1
2 2 0
1 2 2
0 2 2
0 0 1
1 0 2
10 9
2 2 3
0 0 0
2 2 2
3 2 3
1 1 2
0 0 2
1 3 3
0 3 3
0 1 2
0 0 3
10 9
2 2 0
1 2 1
0 0 2
2 1 1
0 0 1
2 1 2
0 1 2
1 2 0
1 0 2
1 1 2
10 5
2 0 0
2 0 2
0 0 0
1 0 1
1 2 0
2 1 0
2 2 1
2 1 2
1 2 2
1 0 0
10 9
0 2 0
0 1 2
0 1 0
0 0 0
2 0 1
2 0 2
2 1 2
1 1 1
0 2 2
2 2 1
10 5
0 2 0
0 1 1
1 1 0
2 0 1
0 0 1
2 0 2
2 2 0
0 2 1
0 1 2
2 1 1
10 9
0 1 1
2 0 1
2 1 0
2 0 2
1 0 0
0 0 2
2 0 0
1 0 2
2 2 2
1 1 2
10 9
2 1 1
0 2 2
0 1 0
0 2 0
0 0 1
2 2 1
1 2 2
2 2 2
0 1 1
2 0 2
10 2
2 2 0
0 2 2
1 0 1
1 1 3
2 1 2
1 3 2
1 3 0
3 3 1
2 2 3
2 1 3
10 2
3 2 3
2 3 2
1 0 2
3 3 3
2 1 3
2 0 2
1 0 1
2 2 0
1 2 1
3 1 0
10 2
0 1 2
3 0 2
0 1 3
2 2 0
1 3 0
3 1 3
3 0 1
1 3 2
1 1 3
3 0 3
10 6
2 1 3
0 3 2
3 1 2
2 3 1
1 2 2
1 3 3
1 1 0
1 0 1
1 2 3
2 1 1
10 7
0 1 1
0 0 0
1 1 2
0 1 2
1 1 1
0 0 1
2 1 0
1 2 2
2 0 1
1 0 2
10 2
0 2 2
2 3 3
2 0 3
1 3 0
1 1 3
0 0 0
2 1 0
2 3 1
0 2 1
3 3 0
10 4
0 1 1
3 2 2
3 2 0
2 0 0
0 3 3
2 1 1
1 2 3
2 0 3
0 0 1
1 3 0
10 2
1 2 1
0 1 2
2 2 0
2 1 1
1 0 2
2 0 0
0 2 2
2 2 2
1 1 2
2 2 1
10 4
1 1 2
1 0 0
1 0 2
2 0 2
1 0 1
2 2 2
2 2 0
0 1 0
2 1 2
0 0 2
10 4
2 3 1
2 0 3
2 0 0
3 3 1
1 0 1
2 1 2
1 0 0
2 3 0
0 3 1
3 3 0
10 2
0 1 2
0 3 1
3 2 3
2 3 3
0 1 1
0 0 3
0 2 1
2 0 2
1 3 1
3 0 1
10 9
2 1 3
1 1 0
2 3 1
1 0 0
1 1 2
2 2 2
3 2 0
0 3 0
2 3 0
0 2 2
10 7
2 0 2
0 2 1
2 0 1
0 1 1
1 0 1
0 2 2
0 1 0
1 2 1
2 2 2
0 0 1
10 6
0 1 2
3 3 3
2 0 2
3 2 2
0 2 3
1 3 2
1 1 2
3 0 1
2 2 1
1 2 0
10 3
1 3 3
1 2 1
3 0 0
3 2 3
1 3 1
3 3 3
3 3 2
0 2 0
3 2 0
0 3 1
10 6
2 2 2
0 1 1
2 0 2
1 1 0
0 1 2
2 2 1
1 1 2
0 0 0
0 0 1
1 1 1
10 3
0 1 0
2 1 0
2 1 1
2 2 2
1 2 2
0 1 1
1 0 1
0 0 0
1 1 2
0 2 2
10 4
1 1 1
2 0 2
1 1 0
1 3 0
2 3 3
2 0 3
3 2 0
1 0 2
1 2 3
0 2 2
10 7
1 3 0
3 2 1
2 1 2
3 3 1
2 3 1
0 3 3
1 0 2
1 2 2
1 1 3
1 2 0
10 2
0 0 0
1 0 3
2 2 2
1 0 2
0 3 3
0 0 3
2 2 1
3 3 2
3 2 1
1 1 0
10 8
0 3 2
2 0 3
3 2 1
0 2 2
0 2 3
0 1 0
2 1 3
0 3 1
2 0 2
1 3 0
10 7
1 2 0
2 0 0
2 1 0
2 2 2
0 0 1
1 1 2
2 1 1
0 0 2
0 0 0
0 1 2
10 7
2 3 2
1 3 3
1 2 1
1 3 0
1 0 1
3 1 3
0 1 1
2 0 2
2 1 1
2 1 3
10 3
0 2 0
0 2 2
0 1 2
2 0 0
2 0 2
0 1 1
0 1 0
2 2 0
0 0 1
1 2 0
10 2
2 1 1
1 2 2
1 2 1
2 0 1
2 0 0
0 2 1
1 1 0
1 1 2
2 0 2
0 1 0
10 5
2 0 0
2 2 0
1 0 1
0 0 2
1 2 1
2 2 2
2 1 1
2 0 1
0 1 1
0 2 0
10 9
2 3 0
1 2 2
1 1 0
1 1 2
3 1 0
0 3 1
1 3 3
1 2 1
2 0 3
1 0 1
10 6
1 2 2
3 0 2
3 0 1
0 2 2
2 3 1
1 0 1
2 1 3
2 2 2
0 1 2
0 3 3
10 5
1 0 1
0 1 1
3 1 1
0 0 1
0 0 2
3 0 3
2 3 0
0 0 0
0 1 2
3 1 3
10 7
3 2 3
2 1 2
0 1 2
3 1 0
1 0 1
0 0 2
2 0 3
1 3 3
3 2 0
1 3 0
10 2
1 3 1
2 1 2
0 1 2
2 1 3
1 1 0
1 2 3
3 3 2
1 0 1
3 3 1
3 0 0
10 2
3 3 0
1 0 3
3 0 3
1 2 0
1 0 2
0 3 3
3 0 2
3 2 0
2 2 0
2 0 0
10 4
1 1 1
1 2 2
0 2 0
1 1 0
2 2 1
0 1 0
0 2 2
2 0 0
0 2 1
2 1 2
10 9
2 3 1
2 2 0
3 3 0
3 3 3
3 3 1
3 1 3
0 1 2
1 0 0
2 1 3
3 1 1
10 8
0 0 0
2 0 0
1 1 0
1 0 1
2 2 0
0 1 1
1 1 1
0 1 0
1 2 2
1 0 2
10 4
3 1 1
2 1 1
3 0 1
3 2 1
0 2 3
2 3 3
3 1 0
3 0 2
3 0 0
1 0 2
10 5
1 0 0
3 0 1
2 0 0
3 0 2
2 2 1
2 3 1
1 3 1
0 2 3
1 3 0
1 2 3
10 8
1 1 1
0 1 0
0 0 0
2 0 2
1 0 2
2 0 0
0 0 2
0 2 0
1 0 0
0 0 1
10 7
2 2 0
1 1 1
0 2 0
2 2 2
2 1 0
1 0 1
2 1 1
0 1 1
2 0 1
1 0 0
10 5
0 0 3
2 3 0
3 2 3
0 3 3
3 0 2
1 2 2
1 0 3
0 3 0
0 1 2
3 1 1
10 5
0 1 0
1 3 0
0 1 1
1 1 3
2 3 0
0 0 0
1 3 3
3 3 3
0 0 3
2 2 2
10 2
1 3 0
2 3 1
1 0 3
1 1 0
2 1 2
0 3 1
0 1 1
0 0 0
1 1 1
0 1 3
10 3
0 1 3
0 0 2
1 0 3
3 0 3
1 2 1
2 2 3
3 2 1
1 1 2
1 0 2
3 2 3
10 4
3 2 2
0 3 3
3 3 2
1 1 2
3 0 0
0 0 0
1 1 0
1 0 1
0 0 2
0 3 2
10 6
1 2 0
2 1 0
2 2 2
1 1 1
2 0 2
1 2 1
0 0 2
0 2 0
0 1 1
1 2 2
10 4
3 2 0
2 3 1
1 1 0
1 0 3
3 2 1
2 1 1
2 2 2
0 3 3
3 2 2
0 0 0
10 2
1 0 2
1 2 0
2 2 2
0 2 0
2 2 0
0 0 0
1 1 1
1 1 2
2 1 2
0 2 1
10 6
0 1 0
0 2 2
2 0 2
2 0 0
2 0 1
2 1 1
2 2 2
2 2 0
1 1 1
0 1 1
10 9
1 2 2
0 1 1
1 0 2
0 0 1
2 1 3
2 0 2
2 0 1
3 3 0
0 3 1
1 1 1
10 6
0 2 1
0 2 0
2 1 2
1 0 1
1 0 0
2 1 0
0 0 1
1 0 2
2 1 1
0 1 0
10 8
0 1 1
1 1 1
2 2 2
3 2 2
0 1 3
2 2 3
2 3 0
0 3 0
3 3 2
0 3 3
10 9
0 2 0
2 0 2
0 2 1
2 2 1
2 2 2
2 0 1
1 0 0
1 2 1
1 1 0
2 1 0
10 5
0 0 2
2 2 0
2 2 2
1 0 2
0 1 2
0 1 0
0 0 1
1 2 1
2 0 0
1 1 0
10 9
0 3 2
3 3 0
0 0 2
2 1 1
3 0 0
3 1 0
0 2 2
1 0 2
2 0 0
1 0 3
10 3
2 3 3
3 3 3
0 1 3
3 2 3
3 1 3
1 3 0
2 0 3
2 1 0
2 1 3
3 0 2
10 7
0 0 0
1 0 1
1 1 1
1 1 0
2 0 0
0 1 1
2 0 1
2 2 2
2 1 1
1 0 0
10 5
1 2 2
0 0 0
2 2 0
1 1 2
0 1 0
1 2 1
2 1 0
0 1 1
2 0 1
2 1 2
10 5
1 3 3
0 0 3
0 3 2
1 1 1
3 1 1
3 2 2
1 1 2
1 1 3
1 0 1
1 3 2
10 3
3 1 3
1 2 0
3 0 2
2 0 1
0 3 0
0 0 3
1 0 1
3 1 2
3 3 2
0 3 1
10 6
2 3 0
2 0 1
3 2 1
3 2 0
2 3 2
3 1 2
0 1 0
3 1 3
1 0 3
1 3 0
10 8
1 2 1
3 2 3
0 0 3
0 0 0
1 2 3
0 2 3
0 0 2
3 0 1
0 0 1
2 3 2
10 5
1 1 2
1 2 2
0 2 2
1 1 0
1 0 1
0 0 2
0 0 1
2 0 1
1 0 0
2 2 0
10 5
3 0 1
1 1 3
1 0 3
3 2 3
1 0 0
1 2 3
2 2 2
2 1 0
1 0 2
2 0 1
10 6
3 0 0
1 0 0
3 2 2
0 1 3
1 3 3
3 3 0
2 0 0
1 1 3
0 2 1
2 3 3
10 5
2 0 1
0 0 0
0 1 0
2 1 0
0 0 2
0 2 1
2 0 2
1 0 1
1 0 2
1 2 0
10 3
2 0 1
0 3 1
1 2 3
2 0 2
2 3 3
1 1 1
1 2 2
1 1 2
0 2 0
2 3 2
10 6
0 1 2
2 1 2
2 1 0
2 0 2
0 1 1
0 1 0
1 2 1
0 2 2
1 1 2
0 2 0
10 6
1 1 0
2 0 1
1 0 1
1 1 2
0 0 2
2 2 2
2 1 1
2 1 2
0 0 1
2 1 0
10 7
2 0 1
1 0 0
2 1 2
1 0 1
0 0 2
1 1 2
0 1 1
2 2 2
2 2 0
0 0 0
10 6
2 1 0
0 1 1
2 1 1
1 2 1
2 0 2
0 1 2
2 0 1
2 2 2
0 0 0
0 0 2
10 7
0 1 3
3 1 1
1 0 2
0 0 2
2 2 2
1 3 0
0 1 1
0 0 0
0 0 1
1 0 0
10 8
0 3 1
0 1 1
1 2 2
2 3 1
2 3 3
3 1 1
1 2 0
0 0 0
3 3 2
3 1 0
10 5
2 1 1
2 0 2
0 0 1
0 1 2
2 2 2
0 1 0
1 0 1
0 0 0
1 2 1
0 1 1
10 2
2 0 2
1 1 2
0 1 1
2 2 1
1 2 2
2 0 1
1 0 0
0 1 2
2 2 0
1 1 1
10 6
0 1 2
0 1 1
0 2 1
2 1 0
1 2 2
0 2 2
2 2 2
2 1 1
2 0 1
2 2 0
10 5
3 2 3
3 2 0
3 2 2
1 2 2
1 2 1
3 0 0
2 1 2
0 2 1
1 0 1
2 0 0
10 3
1 1 0
1 0 2
2 1 0
2 1 2
0 2 1
0 1 1
1 2 0
1 0 1
2 2 0
2 2 1
10 5
2 2 0
1 2 1
0 2 1
1 1 0
2 1 2
2 0 2
2 2 1
1 2 0
0 2 2
2 2 2
10 6
3 1 1
0 3 1
1 2 3
3 2 1
3 3 2
0 0 2
0 2 2
0 0 1
0 2 3
2 1 1
10 8
0 1 0
1 2 2
0 0 1
2 0 2
0 2 1
1 2 0
2 2 2
0 1 2
0 0 0
0 0 2
10 8
2 2 0
2 1 2
0 1 0
1 1 0
0 0 2
0 2 0
2 2 2
2 1 1
0 0 0
0 1 1
10 8
0 1 2
3 3 2
1 2 3
1 0 0
2 1 3
1 2 2
3 1 3
0 2 3
2 2 2
0 3 3
10 3
0 0 0
0 3 0
2 0 3
3 1 3
0 2 1
1 1 0
1 0 2
2 3 3
3 0 0
0 0 1
10 9
1 3 0
0 2 1
1 1 3
2 0 2
2 2 2
2 3 0
3 1 0
1 1 0
3 0 3
1 2 0
10 6
0 3 3
3 1 2
0 2 1
2 3 0
1 2 0
1 3 2
1 3 3
1 0 0
1 1 0
0 0 2
10 3
2 2 0
2 3 3
1 1 1
1 0 3
3 1 2
1 0 1
3 3 0
3 2 3
2 0 3
3 2 1
10 9
0 3 0
1 1 0
3 3 3
0 2 2
0 0 0
3 1 0
3 0 3
2 3 2
0 2 3
1 3 0
10 2
0 0 2
2 2 1
1 1 2
1 2 1
0 1 2
1 2 2
1 2 0
0 0 1
0 2 2
2 1 2
10 8
1 1 0
0 1 0
0 1 2
3 0 0
1 2 0
2 1 3
0 1 1
1 2 1
2 1 1
3 3 3
10 8
2 0 0
3 0 3
1 1 0
1 1 3
1 3 3
2 3 0
1 2 1
2 1 0
1 0 2
3 3 1
10 7
2 0 0
1 0 3
0 1 1
0 0 2
0 2 0
0 0 1
2 1 3
1 1 3
1 2 3
2 1 2
10 7
1 0 0
1 1 0
0 1 0
0 0 2
1 0 2
2 2 0
1 1 2
1 1 1
0 0 0
2 2 2
10 7
0 0 0
0 1 2
0 2 2
1 2 2
2 0 0
1 0 1
1 1 2
1 0 0
0 1 1
0 2 0
10 8
0 0 2
2 2 0
0 2 2
1 1 2
2 2 1
2 0 2
2 1 0
2 1 2
2 0 0
1 1 0
10 8
1 2 0
1 0 2
3 0 1
1 1 3
2 1 3
1 0 3
0 3 2
3 3 2
3 0 0
0 1 0
10 2
2 2 0
0 1 0
0 0 2
1 0 1
1 1 0
0 0 1
2 2 2
1 2 2
2 1 1
0 2 0
10 3
3 3 1
2 2 0
3 2 3
3 2 2
0 1 1
1 3 3
1 2 2
2 3 1
0 1 0
0 2 1
10 2
3 0 0
3 1 2
2 1 0
0 3 0
1 1 3
3 2 2
3 2 3
0 2 0
2 2 2
0 1 0
10 7
1 0 2
2 0 0
1 2 1
1 1 1
1 0 1
0 0 0
0 1 0
0 0 1
1 1 0
2 1 2
10 6
2 2 0
1 1 1
0 2 1
1 2 0
1 0 3
2 1 3
0 3 2
1 2 1
0 3 1
2 0 1
10 4
2 2 1
1 2 1
2 0 2
0 2 1
0 1 0
2 0 0
0 1 2
1 0 0
1 2 2
0 2 0
10 4
1 0 1
0 1 2
0 0 2
1 0 2
0 1 0
0 1 1
1 2 1
2 0 0
0 0 1
1 1 2
10 2
2 0 2
1 2 0
3 2 3
3 1 0
2 3 1
3 0 1
3 2 0
0 0 2
2 3 2
3 0 0
10 6
2 0 0
2 0 2
0 0 1
1 1 0
0 0 2
1 1 2
0 2 0
1 1 1
1 0 2
2 1 2
10 9
2 1 0
1 0 1
2 1 2
2 0 0
1 1 2
0 1 2
2 0 1
2 2 1
2 2 2
0 0 2
10 8
2 0 3
1 0 1
0 0 2
3 1 0
0 1 1
1 3 3
1 2 2
2 2 2
0 3 0
1 1 1
10 7
1 2 2
1 1 0
0 1 1
2 1 0
1 2 0
0 0 1
1 1 1
0 0 2
2 1 1
2 1 2
10 7
2 2 0
2 0 2
0 2 2
1 1 1
1 0 1
0 0 0
2 2 1
0 1 0
2 0 0
0 1 2
10 9
1 0 1
3 1 1
1 2 2
2 0 1
2 3 2
0 3 3
1 0 0
0 1 3
1 2 1
2 3 1
10 5
1 2 3
3 0 0
3 2 2
2 2 2
1 3 2
1 3 0
0 0 3
1 0 0
1 0 1
0 1 1
10 3
0 1 0
0 2 2
0 1 1
2 1 0
2 2 0
0 0 1
0 2 1
1 2 2
2 2 1
1 1 0
10 6
2 2 1
1 2 3
2 3 0
0 0 1
1 0 0
3 0 1
3 3 0
1 3 3
0 1 2
2 0 2
10 2
1 2 3
1 1 3
3 3 0
1 3 3
3 3 2
0 2 2
2 3 0
2 3 1
2 1 3
2 0 1
10 2
1 1 2
0 2 3
3 0 3
2 2 2
2 1 2
0 2 0
1 3 0
2 0 3
1 2 2
0 3 3
10 9
0 2 1
1 0 0
2 3 2
2 0 3
3 1 0
2 3 3
1 3 2
0 2 2
0 2 0
0 1 2
10 7
1 1 2
3 3 2
3 1 0
2 0 3
0 2 3
2 3 3
0 0 3
0 1 3
0 0 0
3 2 2
10 5
0 0 1
1 2 2
1 2 1
2 2 2
0 0 0
0 2 1
2 0 0
2 1 2
0 2 0
0 2 2
10 6
3 2 0
3 0 0
2 1 0
3 3 0
3 1 1
1 3 0
1 1 0
1 1 1
1 0 0
1 2 1
10 5
0 0 2
3 1 1
0 0 3
1 0 2
1 2 1
2 1 3
0 1 2
1 1 0
3 1 3
0 3 2
10 9
1 1 1
0 0 1
3 2 2
1 3 2
0 0 0
1 2 3
3 0 0
2 2 0
3 3 0
0 0 3
10 2
0 1 1
3 2 2
1 2 3
1 0 0
2 0 3
0 3 2
0 3 0
1 0 3
1 1 3
3 0 2
10 2
2 1 0
0 2 2
0 1 0
2 1 2
2 0 0
1 1 0
0 2 1
1 1 2
2 1 1
0 2 0
10 4
1 2 2
0 0 0
0 1 1
1 0 1
1 2 1
0 2 1
1 0 2
2 2 2
2 1 2
1 0 0
10 7
1 2 2
2 2 1
3 1 2
3 2 1
2 2 0
3 2 2
2 2 2
2 0 1
0 3 2
1 2 0
10 6
2 2 1
2 1 2
0 2 0
0 2 1
1 1 2
0 0 0
0 1 1
1 0 0
0 0 1
2 2 0
10 3
2 2 3
3 3 1
3 3 3
2 3 1
3 2 2
3 0 2
1 1 3
0 1 2
2 0 0
0 0 1
10 2
0 0 0
0 1 0
2 1 0
0 1 1
1 1 0
1 2 2
1 2 1
1 2 0
1 1 2
2 0 2
10 8
2 0 1
1 0 1
3 0 3
2 1 3
3 0 1
3 0 2
3 1 0
1 2 0
3 2 2
3 3 3
10 3
0 2 1
1 0 2
1 0 1
1 0 0
1 2 2
2 0 2
1 1 0
2 2 0
0 0 2
2 2 1
10 2
1 0 1
0 3 0
3 3 1
2 0 3
0 0 1
1 1 3
2 1 0
2 3 1
0 2 2
0 3 1
10 7
2 2 2
1 2 1
0 2 0
0 2 2
1 0 1
2 1 0
2 0 1
1 1 1
2 2 1
1 0 0
10 5
1 2 1
1 0 2
0 1 0
2 1 2
1 2 2
0 0 1
0 2 1
2 2 1
0 2 2
2 1 0
10 2
3 3 2
3 3 0
2 0 2
2 1 2
3 1 3
1 0 1
3 0 3
0 2 2
3 1 2
1 2 3
10 7
1 0 1
1 1 2
1 0 2
0 1 0
0 2 2
2 0 1
2 0 2
0 1 1
0 0 2
2 1 2
10 9
1 1 0
0 1 2
0 0 0
2 2 2
0 1 0
1 2 1
1 1 2
0 2 2
2 1 1
2 0 0
10 6
0 0 3
0 2 0
2 1 1
1 3 0
3 2 2
1 3 1
3 2 1
1 2 2
1 2 1
0 1 1
10 2
0 0 1
1 1 2
0 1 2
2 2 1
1 0 1
0 2 1
2 1 0
0 1 1
0 0 2
1 1 1
10 2
1 1 0
1 2 2
0 0 1
0 0 2
1 1 1
1 0 2
0 1 2
2 1 1
1 0 1
0 2 0
10 3
2 0 0
0 1 1
1 1 2
0 2 2
0 1 2
2 0 2
1 1 1
1 0 1
0 0 1
1 1 0
10 5
1 2 1
0 0 2
2 0 0
2 1 0
1 1 1
0 2 2
0 2 0
2 1 1
1 2 2
0 1 0
10 7
3 3 0
0 2 0
1 1 3
0 2 2
3 2 3
1 1 0
2 2 3
1 2 3
3 1 1
2 3 1
10 9
1 1 1
0 1 0
0 0 0
1 0 1
0 0 1
1 1 2
2 1 1
2 2 1
2 1 0
0 1 1
10 9
0 2 1
3 2 0
0 3 1
1 2 1
1 1 1
0 2 3
0 3 2
1 1 0
1 0 1
1 0 0
10 5
0 1 2
0 1 3
3 1 3
2 2 2
3 3 0
1 1 2
0 1 1
0 2 0
0 3 1
3 1 0
10 3
2 2 1
0 2 1
2 1 0
0 0 1
0 1 2
1 1 1
1 2 2
0 2 2
2 2 0
2 1 2
10 7
3 0 2
1 3 3
3 3 1
0 3 1
3 1 2
0 2 3
3 3 0
0 0 1
1 0 3
2 2 1
10 8
0 2 2
2 3 3
3 2 1
0 1 1
0 2 1
0 3 3
0 0 0
1 3 1
1 1 3
1 1 2
10 7
2 0 1
0 1 2
1 1 1
2 2 2
0 2 2
2 0 2
0 0 1
2 1 0
0 1 1
1 0 2
10 4
3 2 0
2 1 0
1 3 3
0 0 3
1 2 2
0 3 1
3 0 1
3 1 3
0 3 3
0 0 0
10 4
3 3 3
2 0 3
0 0 2
3 0 1
3 0 3
1 0 3
3 1 1
3 2 1
2 0 2
2 2 0
10 7
2 0 0
1 1 2
0 2 2
1 1 1
1 2 2
2 2 0
0 2 0
2 0 1
0 1 2
0 1 0
10 4
1 3 3
0 0 3
3 3 1
1 2 2
1 3 1
1 1 2
2 2 0
2 1 3
3 3 2
3 1 1
10 9
1 2 0
2 0 2
0 0 0
0 1 2
0 0 2
0 2 1
2 0 0
2 1 0
1 0 2
2 1 1
10 6
2 1 2
1 1 2
1 1 0
0 1 0
2 0 2
2 2 2
2 1 1
1 2 0
2 0 1
0 0 2
10 8
2 2 0
0 1 2
0 1 0
1 1 1
2 0 1
1 2 2
2 1 2
0 0 0
2 2 2
0 1 1
10 9
2 0 1
0 0 2
2 1 0
1 1 1
2 1 2
1 1 0
0 0 0
2 0 0
1 2 0
0 2 2
10 2
1 0 3
2 3 0
0 2 0
2 2 2
1 1 3
3 0 3
3 3 1
3 1 3
2 3 1
0 3 2
10 2
1 0 2
3 3 1
3 0 3
2 0 0
0 0 1
2 1 3
2 1 2
1 2 1
1 3 1
1 3 0
10 6
0 3 1
1 2 2
3 3 2
0 0 2
0 0 3
1 3 3
2 2 0
3 0 0
1 2 3
2 2 3
10 5
3 2 2
1 1 2
0 2 1
1 0 0
1 0 3
1 3 0
2 0 1
3 0 3
0 3 2
3 2 3
10 3
0 0 0
1 1 1
2 1 0
2 2 2
1 1 0
2 1 2
1 1 2
1 2 2
0 1 2
1 0 1
10 6
0 0 3
1 1 0
3 0 1
3 3 3
0 1 3
1 0 0
1 0 1
3 0 2
2 0 1
0 0 0
10 3
2 0 0
2 2 3
2 3 0
3 0 0
3 2 3
0 0 2
2 1 2
1 1 2
2 2 0
0 1 0
10 5
0 2 0
1 0 1
0 2 2
1 2 1
0 1 0
2 1 0
2 0 2
0 1 2
2 0 0
0 2 1
10 7
1 0 1
3 1 3
1 3 3
0 1 0
1 3 1
2 1 1
0 1 2
1 1 0
2 3 0
0 3 0
10 2
1 2 3
0 3 3
3 3 3
2 1 1
0 1 1
3 0 1
1 2 1
2 2 2
1 3 0
0 3 0
10 8
3 3 3
2 0 3
2 3 0
2 3 2
3 2 2
1 3 3
1 3 0
1 2 0
1 1 0
0 0 0
10 6
1 0 1
2 0 1
0 2 1
0 1 2
1 1 0
1 0 0
2 2 1
0 2 0
0 1 1
1 2 0
10 3
0 2 2
1 2 0
1 3 1
3 3 3
1 1 3
0 1 2
3 1 0
3 3 0
3 1 2
0 2 0
10 2
2 0 1
1 1 1
2 1 1
2 2 1
1 0 2
1 1 0
1 2 1
2 0 0
2 1 0
0 2 1
10 8
2 1 1
1 1 0
0 2 2
1 1 2
2 2 0
0 0 1
0 0 0
2 0 2
0 0 2
0 1 2
10 9
0 1 0
0 0 0
2 0 2
0 1 2
2 2 2
1 1 1
1 0 2
1 2 1
0 2 1
2 1 1
10 5
2 1 0
1 0 0
2 1 2
1 0 2
0 0 2
1 2 1
0 1 0
1 1 1
0 1 1
1 1 0
10 7
2 2 0
0 0 2
1 1 0
0 1 1
0 2 1
0 0 1
2 0 2
2 2 1
2 2 2
1 2 2
10 4
2 1 1
1 1 0
3 2 2
1 1 2
0 1 1
3 1 2
0 0 3
3 2 0
1 1 1
3 0 0
10 7
3 2 3
1 2 2
2 1 2
0 2 0
3 1 3
3 2 1
2 2 3
0 1 1
1 0 1
1 0 2
10 7
3 2 0
3 3 3
1 1 0
0 3 3
2 1 1
1 2 2
2 0 2
1 0 1
2 0 0
3 0 1
10 7
0 2 2
2 0 1
2 0 2
0 2 1
1 2 2
2 1 1
0 1 2
1 0 0
2 1 0
0 1 1
10 3
1 0 2
2 0 0
1 2 2
2 1 0
0 1 0
1 1 1
1 2 0
0 0 1
0 1 1
0 1 2
10 5
2 0 0
2 3 2
0 0 3
3 0 0
1 0 3
2 3 1
0 3 3
0 1 2
1 1 3
3 1 3
10 7
1 2 0
2 1 3
0 0 0
2 3 0
1 1 1
3 3 3
1 0 2
1 2 3
1 3 0
0 3 2
10 7
2 0 2
2 0 0
1 2 1
0 0 0
2 2 0
0 1 0
1 0 1
1 1 0
0 0 1
1 1 1
10 4
3 2 3
3 1 0
0 3 3
1 1 2
0 0 0
2 3 0
1 0 2
0 3 2
0 2 3
3 0 0
10 6
1 2 2
2 2 2
1 2 0
2 1 2
0 0 2
1 1 0
2 0 2
1 1 2
1 0 0
0 2 0
10 6
2 1 2
1 1 2
2 0 2
2 0 0
0 2 2
0 1 2
1 0 2
0 1 0
0 1 1
2 2 2
10 6
1 0 2
2 2 0
1 1 1
0 2 0
0 1 1
2 0 1
1 2 2
2 0 2
2 0 0
1 1 0
10 4
2 3 3
2 2 2
2 3 1
1 1 1
2 2 1
0 2 1
2 0 1
2 1 2
1 0 0
1 0 3
10 4
1 2 0
0 1 1
1 2 1
0 1 2
1 1 1
1 2 2
1 1 0
0 2 1
0 1 0
2 2 2
10 6
2 2 2
1 1 0
2 0 0
2 2 0
1 2 1
1 2 0
1 0 1
2 1 2
0 0 1
0 1 1
10 3
2 0 2
0 2 2
0 1 1
1 2 1
2 2 1
2 2 0
1 2 2
1 0 1
1 0 2
2 1 2
10 4
1 2 2
0 1 0
2 1 1
0 0 2
1 1 0
2 0 2
2 2 2
0 2 2
1 0 1
2 2 1
10 8
0 3 2
3 1 2
3 1 0
1 3 0
0 3 1
2 2 1
2 2 2
2 3 2
1 1 0
1 0 3
10 6
3 3 2
0 1 3
3 1 3
0 0 2
0 3 1
3 3 0
1 1 0
2 1 1
0 0 3
2 2 3
10 3
0 1 0
0 1 2
2 1 2
2 2 0
2 0 2
2 1 1
1 1 1
2 2 2
2 2 1
1 0 2
10 4
0 0 0
0 2 1
1 1 0
1 2 2
2 2 0
1 1 2
2 2 2
2 1 2
2 1 0
2 0 0
10 7
0 1 2
2 2 2
2 1 0
0 0 2
0 2 0
1 2 0
1 2 2
0 0 0
2 0 1
1 0 2
10 7
2 2 0
2 0 0
1 1 1
2 1 2
0 2 0
2 0 2
2 2 1
0 0 2
1 2 2
1 2 0
10 4
2 1 0
2 1 1
2 0 1
0 0 1
1 1 0
2 2 0
0 1 1
1 0 1
2 1 2
0 1 2
10 8
2 1 2
2 1 0
1 1 2
2 0 2
0 2 1
0 2 2
0 1 0
0 0 1
0 1 2
2 1 1
10 4
3 3 2
1 0 2
2 1 0
1 1 0
1 2 0
0 2 2
2 1 1
1 2 3
2 3 3
1 3 3
10 6
1 2 2
0 1 2
0 0 0
0 1 0
1 1 2
2 0 1
0 2 1
1 1 0
0 2 0
1 0 2
10 9
1 2 3
3 2 1
1 1 0
2 1 2
3 2 3
1 3 3
2 1 1
2 0 0
1 2 1
2 0 1
10 4
0 2 2
1 2 2
0 0 1
2 0 1
1 3 1
0 1 0
1 2 1
3 3 1
1 2 3
0 0 3
10 5
2 0 0
0 2 2
1 2 1
1 1 1
1 2 2
2 1 0
1 0 0
2 2 1
2 2 0
1 2 0
10 6
0 0 2
2 2 1
0 1 2
1 0 1
2 2 2
0 2 2
2 2 0
1 1 1
2 1 1
1 1 0
10 3
0 1 1
2 0 0
2 2 0
1 1 0
0 1 2
2 1 1
0 2 2
2 2 1
2 1 2
1 0 1
10 9
1 1 0
2 2 0
0 2 2
0 1 2
0 0 0
2 2 2
1 1 2
2 1 0
2 1 1
0 1 1
10 4
2 1 2
3 0 0
0 0 3
3 1 2
0 3 3
2 0 1
3 3 3
2 2 2
1 0 2
0 2 0
10 8
0 0 0
2 2 2
0 1 1
0 1 0
1 0 2
2 2 1
0 2 0
2 0 0
1 1 1
1 2 1
10 2
3 2 2
0 3 2
0 2 0
3 2 3
0 3 3
2 1 0
1 2 2
3 2 1
3 1 3
0 0 2
10 8
0 1 0
2 0 2
2 2 0
2 0 1
1 2 2
0 0 2
0 2 1
2 2 1
0 0 1
0 1 1
10 5
0 3 3
3 3 1
3 2 3
0 1 1
0 1 3
3 3 2
0 0 3
2 3 1
3 0 1
0 1 0
10 7
2 0 1
2 2 1
0 1 1
0 1 0
1 0 0
0 1 2
1 0 2
0 2 1
2 1 1
2 0 2
10 6
1 1 0
1 0 2
0 1 0
0 1 1
0 2 2
2 1 1
2 2 2
0 2 1
1 1 2
1 2 2
10 8
0 0 2
1 0 2
2 0 1
1 1 1
2 0 2
0 0 1
2 2 1
0 2 0
0 2 1
1 1 2
10 8
3 1 3
1 1 2
3 3 2
3 0 3
3 1 1
1 2 1
3 1 0
3 2 0
0 2 2
2 0 3
10 6
0 1 3
2 0 0
0 2 2
0 3 2
0 2 1
3 0 0
1 0 0
1 1 2
2 1 0
3 0 2
10 5
1 1 2
0 1 0
0 1 2
2 1 0
1 2 2
1 0 1
0 0 2
2 2 1
0 1 1
0 0 1
10 2
2 2 2
3 3 0
0 3 1
1 2 2
0 2 0
2 3 2
3 2 2
0 1 3
1 3 1
3 0 0
10 3
2 2 2
3 0 2
3 3 1
0 2 3
2 0 2
3 1 0
2 2 1
2 1 0
0 1 3
2 0 3
10 5
2 2 3
0 2 3
1 0 3
2 0 2
0 0 2
0 2 0
0 2 2
0 0 3
1 1 1
0 3 0
10 7
2 0 2
0 2 2
2 1 2
1 1 0
0 1 2
2 2 2
1 0 2
1 0 1
2 2 0
1 1 2
10 8
0 1 2
2 3 0
0 3 3
1 0 1
1 3 1
2 1 1
2 0 3
0 0 3
0 2 3
3 0 1
10 8
0 2 2
1 0 2
1 2 1
3 2 0
2 2 3
3 0 1
3 0 2
0 3 1
1 3 1
1 0 0
10 9
0 0 2
3 0 1
3 2 3
2 1 3
0 3 2
1 1 3
0 1 1
3 0 0
0 0 0
2 1 0
10 6
2 2 1
2 2 0
1 1 2
0 2 2
0 0 0
0 1 0
0 2 1
2 0 2
1 2 1
0 0 1
10 2
0 0 2
1 2 2
2 2 1
1 0 2
2 1 1
0 0 0
0 0 1
1 1 2
0 2 1
0 1 1
10 3
0 3 3
2 3 2
1 3 1
3 3 3
3 2 0
2 1 0
3 3 0
3 3 2
3 0 2
1 0 1
10 9
0 2 0
2 0 2
1 0 1
0 0 2
2 1 1
1 0 2
1 1 0
0 1 0
1 2 0
2 0 0
10 6
1 2 1
0 2 2
2 2 0
2 0 2
1 0 2
0 1 2
2 0 1
2 2 2
1 2 2
2 2 1
10 9
1 0 2
2 0 1
1 2 1
0 1 0
2 2 2
0 2 0
1 2 2
2 0 0
2 1 0
0 2 2
10 5
2 1 2
3 2 1
0 1 1
1 2 1
0 1 0
2 2 1
3 1 1
0 3 1
0 1 3
3 0 1
10 9
1 2 1
1 1 2
0 2 1
2 2 2
0 1 1
1 0 2
1 1 1
2 0 2
2 1 2
2 0 1
10 7
1 0 1
1 1 1
1 2 1
2 2 0
1 0 0
1 1 2
2 2 2
0 2 0
1 2 0
2 1 1
10 4
3 3 3
0 3 0
1 3 3
3 2 2
3 3 0
1 3 2
0 1 2
1 3 1
1 0 0
1 1 3
10 4
2 1 0
1 2 1
0 0 2
2 2 0
0 2 1
0 2 0
1 0 1
1 0 0
2 0 2
1 2 0
10 7
2 2 0
0 2 1
2 0 2
1 0 0
1 2 0
0 1 1
0 0 0
1 1 2
0 0 1
0 2 0
10 5
2 1 2
2 0 0
2 3 0
0 3 0
3 3 1
1 2 0
1 1 2
2 0 1
0 2 1
3 1 0
10 8
1 2 1
0 0 2
1 2 0
2 2 2
1 0 2
1 1 1
1 2 2
2 1 0
0 2 1
1 1 0
10 6
1 3 0
1 1 0
1 1 1
2 0 1
3 0 2
1 3 3
1 1 3
2 3 2
3 1 1
3 0 3
10 4
2 0 1
1 2 1
1 2 2
2 0 0
1 2 0
1 0 0
2 1 2
2 0 2
2 2 1
0 1 1
10 5
2 1 0
2 2 1
3 3 2
1 0 1
2 0 0
0 2 0
2 3 3
1 1 3
1 0 3
2 3 2
10 3
2 0 0
0 0 3
3 2 3
1 0 2
2 1 2
2 3 1
2 2 1
2 1 0
0 0 1
0 0 0
10 5
1 3 1
2 0 3
2 3 3
0 0 3
3 2 1
3 1 2
1 3 3
2 2 0
2 0 0
3 1 1
10 4
1 1 1
2 2 0
0 1 2
1 1 0
0 2 1
2 2 1
2 2 2
0 0 2
2 0 1
0 0 0
10 3
0 0 0
0 0 2
2 0 1
0 1 0
0 2 1
1 2 0
2 1 1
2 2 1
1 0 1
2 1 2
10 2
1 1 3
3 2 0
3 3 1
2 3 1
2 2 0
2 2 3
1 3 1
0 1 1
2 0 0
3 2 1
10 6
2 0 0
0 1 2
0 1 0
2 1 1
2 2 0
0 2 1
1 0 1
1 0 0
0 1 1
2 0 1
10 6
0 0 3
1 3 1
1 0 3
3 2 0
3 3 3
1 0 1
0 2 3
3 0 3
1 2 3
3 3 1
10 8
3 3 2
1 1 3
3 3 3
3 2 3
3 3 1
2 0 3
2 1 1
3 0 0
0 0 3
3 0 3
10 3
2 2 0
3 1 1
1 2 0
3 1 2
0 0 3
3 2 2
0 0 1
0 2 3
1 0 0
0 2 1
10 7
2 0 0
1 0 2
2 1 2
2 2 1
0 0 1
2 1 0
0 2 2
2 1 1
0 0 0
0 2 1
10 7
1 1 1
0 2 0
2 1 2
0 0 0
1 0 0
0 2 1
2 1 0
2 2 1
2 2 2
1 0 2
10 9
3 0 0
1 2 0
2 3 1
0 2 2
1 2 2
3 2 3
0 1 2
0 0 2
0 0 1
0 3 0
10 3
2 0 2
0 1 1
1 2 2
1 1 2
1 1 1
2 1 2
0 0 2
1 1 0
0 0 1
2 2 0
10 3
3 0 2
1 0 1
1 1 3
2 3 3
3 2 3
3 0 3
3 2 0
0 0 0
2 0 3
0 0 3
10 2
1 0 1
2 2 2
0 0 2
1 2 0
0 2 0
2 0 2
2 1 0
0 0 0
1 1 2
0 2 2
10 8
1 0 3
0 3 2
2 1 1
3 2 2
3 1 2
3 3 1
1 1 0
1 2 3
0 1 1
1 0 1
10 2
0 1 0
2 0 1
3 2 0
2 1 3
0 2 2
3 2 1
1 3 1
3 3 1
3 0 1
3 3 3
10 8
1 3 0
2 0 3
1 0 2
2 1 0
3 2 2
2 3 2
2 1 3
2 3 3
3 0 2
2 2 1
10 6
1 0 0
0 0 1
0 2 2
2 1 1
2 0 0
1 2 1
0 1 1
1 2 2
2 2 1
1 1 2
10 4
2 1 1
0 1 3
3 0 1
2 1 3
1 1 3
2 2 0
2 2 2
1 2 3
3 2 3
2 3 3
10 9
1 1 2
2 0 0
1 1 1
0 0 1
2 1 2
0 0 0
1 0 0
0 1 2
0 1 1
1 0 2
10 3
1 1 3
3 3 3
2 0 2
2 3 3
0 0 1
2 1 2
0 3 0
3 0 3
3 0 2
2 2 2
10 5
1 1 2
1 0 0
2 1 2
2 0 1
2 0 0
1 1 1
0 2 2
1 2 0
2 0 2
0 2 1
10 7
3 1 3
0 1 2
1 0 0
1 2 1
0 3 1
1 1 0
1 2 2
2 3 2
2 0 0
0 0 1
10 4
1 1 0
0 1 2
3 2 2
1 2 2
2 2 1
3 2 1
0 1 3
2 1 2
3 3 1
1 3 3
10 9
1 0 1
0 1 1
0 0 0
2 0 1
0 1 2
0 0 2
2 2 2
0 0 1
1 0 0
2 0 2
10 8
2 2 0
0 2 2
2 1 2
0 2 0
0 2 1
1 0 1
0 1 1
2 1 1
0 1 0
0 1 2
10 2
1 0 0
1 0 2
0 0 0
0 2 0
1 1 1
2 0 0
1 2 2
2 1 0
1 1 2
1 2 1
10 5
0 2 2
0 0 0
1 1 0
1 2 1
2 0 2
0 1 0
1 0 0
0 2 1
2 0 1
0 2 0
10 3
0 3 1
1 2 3
3 3 3
0 1 0
1 0 2
3 2 2
3 0 1
0 2 3
1 0 0
3 3 0
10 3
2 0 1
2 2 2
1 1 2
1 1 0
0 0 0
1 2 1
0 1 2
2 1 2
1 0 2
2 0 2
10 6
2 2 1
3 3 0
0 1 2
1 2 1
2 1 0
1 2 3
3 1 2
2 0 1
1 3 3
0 1 3
10 4
0 2 2
1 1 2
1 0 2
0 2 0
1 2 1
2 2 2
0 1 1
2 2 1
0 0 1
2 1 1
10 2
2 0 0
2 1 2
0 2 0
2 2 0
0 0 1
1 2 2
0 1 0
0 0 0
0 0 2
1 0 2
10 6
1 0 1
1 2 2
0 1 2
2 1 0
2 0 2
0 1 0
1 0 0
2 2 1
1 1 0
1 2 0
10 5
0 1 0
0 0 1
1 2 1
0 2 0
2 0 1
2 1 2
2 2 2
1 2 2
0 2 2
2 0 2
10 8
1 1 2
2 2 2
2 0 1
2 2 1
2 2 0
1 2 2
0 1 0
0 0 2
2 0 0
1 0 1
10 6
3 1 3
2 3 2
2 0 2
2 2 2
0 1 1
0 0 2
0 3 3
1 0 1
0 0 0
2 0 1
10 3
0 2 1
3 3 0
1 3 2
1 2 0
2 0 3
3 0 2
1 2 3
3 2 2
0 2 0
0 3 1
10 3
1 1 3
3 2 2
1 3 0
1 0 2
2 0 3
3 1 2
2 1 0
1 1 0
0 1 0
0 0 1
10 2
2 0 2
0 1 0
1 2 0
1 2 2
1 0 0
2 2 1
2 1 2
2 0 1
0 0 1
0 2 0
10 3
0 0 0
2 1 1
3 2 0
1 2 0
2 1 2
0 0 3
3 3 2
1 2 2
1 3 0
1 0 1
10 6
3 1 2
3 3 3
0 1 2
2 3 1
3 0 2
1 3 3
3 1 3
2 3 2
1 0 1
1 1 0
10 8
1 0 3
2 3 1
1 1 0
3 1 0
1 1 2
2 0 3
0 1 3
3 0 0
3 1 1
2 2 1
10 4
0 2 1
1 2 1
1 1 2
0 2 0
2 2 0
0 2 2
2 0 2
0 0 0
0 1 2
1 0 1
10 7
1 1 2
0 0 0
1 3 0
1 1 3
3 1 1
2 0 1
0 1 3
2 3 2
1 0 3
2 3 3
10 5
1 0 2
1 2 2
1 2 1
1 0 0
0 1 0
1 0 1
2 1 2
0 2 1
0 0 0
2 2 2
10 5
1 0 2
0 1 2
1 1 1
1 1 2
1 2 0
0 0 1
1 2 2
2 1 0
2 2 1
0 0 2
10 8
2 2 0
0 0 0
1 1 0
0 1 0
0 2 0
1 0 1
2 1 1
1 1 1
0 0 1
0 2 1
10 5
0 3 0
2 0 2
0 3 1
1 3 3
0 2 3
1 1 0
3 3 2
1 1 3
0 2 0
3 0 0
10 4
2 0 2
2 0 1
0 0 0
0 2 0
0 2 1
1 1 1
1 2 0
2 1 1
2 1 2
2 2 1
10 6
0 0 3
2 0 3
0 3 0
0 2 0
2 1 1
1 2 2
0 2 1
3 3 0
2 0 2
2 2 3
10 8
1 1 2
1 1 1
2 1 0
0 0 1
1 0 0
2 0 0
1 1 0
2 0 2
1 2 2
0 0 2
10 7
1 0 0
1 1 2
0 1 0
1 1 0
2 0 2
2 2 2
0 1 2
2 1 0
0 0 0
0 2 0
10 2
1 0 2
1 1 2
0 1 2
2 2 1
1 0 1
0 0 1
0 2 0
2 0 0
2 1 1
1 1 1
10 2
1 1 1
2 1 0
1 0 2
1 1 2
0 1 0
0 1 1
2 2 0
0 0 2
2 2 2
2 0 2
10 5
2 2 3
1 0 3
1 0 2
1 1 1
3 2 3
3 0 1
0 1 3
0 0 0
3 0 3
0 1 0
10 3
1 0 0
1 1 3
1 3 3
2 0 2
0 1 3
3 0 0
3 3 1
2 3 3
0 3 3
1 0 2
10 3
3 2 1
1 2 0
3 3 2
1 2 1
1 1 2
2 1 3
3 2 0
2 0 1
3 3 3
3 0 1
10 3
0 1 3
0 0 2
2 1 3
0 2 1
3 0 3
3 0 2
0 1 2
1 0 2
0 1 1
3 3 0
10 6
1 1 1
0 2 0
0 0 0
0 2 1
1 2 0
2 2 0
0 0 2
1 1 0
2 1 0
2 1 2
10 2
1 1 1
0 1 2
1 2 2
1 1 0
1 0 1
0 2 1
0 2 2
2 0 0
2 1 2
2 2 1
10 4
3 3 2
0 3 2
1 2 3
3 2 3
2 0 2
0 1 1
3 0 0
3 0 3
1 2 0
2 3 1
10 9
0 0 2
1 1 0
2 2 0
1 0 1
0 2 1
2 0 1
1 1 1
2 1 0
2 0 0
0 2 0
10 8
0 2 1
0 0 2
2 1 2
0 2 0
0 1 1
1 1 0
2 2 0
1 1 1
0 2 2
1 2 1
10 5
3 1 3
3 2 1
1 0 2
2 2 1
2 3 1
0 3 3
3 1 2
2 1 3
1 3 1
0 0 3
10 5
1 0 0
1 2 2
2 1 2
2 0 2
0 1 0
0 0 1
1 0 1
2 0 1
2 1 0
1 1 1
10 7
2 0 1
1 1 2
0 2 0
2 2 0
1 0 1
0 0 1
1 2 1
1 0 0
0 0 2
0 1 2
10 3
2 3 0
2 2 2
2 2 0
0 3 0
3 1 0
3 1 1
1 2 0
1 3 0
3 2 3
3 0 2
10 7
2 0 2
1 3 0
2 3 3
1 2 2
0 2 3
2 0 0
1 3 2
0 1 3
2 2 0
3 0 3
10 3
0 3 2
2 0 1
1 0 3
2 2 0
0 3 1
1 2 2
3 2 2
0 2 2
3 3 0
2 2 1
10 8
0 1 0
2 1 1
1 0 2
1 1 1
1 1 0
1 2 2
0 0 0
1 0 1
2 2 2
0 0 1
10 5
2 0 1
1 1 0
0 0 0
2 0 2
1 2 0
2 0 0
1 1 1
1 2 2
2 1 1
1 0 2
10 9
1 0 1
0 0 2
2 1 1
1 1 0
2 1 2
0 1 0
0 1 1
1 2 0
0 2 1
0 0 1
10 6
2 2 3
3 1 0
2 1 1
1 0 3
3 3 1
1 3 3
1 2 2
1 1 1
1 3 1
2 0 2
10 5
0 1 2
2 0 0
1 2 2
1 0 2
0 1 1
0 2 2
2 2 0
2 1 2
0 0 2
1 1 1
10 4
1 1 2
1 1 1
2 2 1
2 2 0
0 1 1
1 2 2
2 1 0
0 0 0
0 1 2
0 0 2
10 2
2 0 2
1 3 1
1 0 0
3 1 1
0 2 0
3 3 3
2 1 3
0 2 3
3 0 3
1 3 0
10 7
2 1 0
0 1 1
1 0 0
1 1 0
0 0 1
2 0 2
2 0 0
0 1 2
2 1 2
0 0 2
10 2
1 1 2
2 2 2
2 0 2
1 2 1
0 1 2
3 3 2
1 0 0
2 0 1
3 2 0
0 2 1
10 8
0 3 3
2 2 3
1 0 2
2 0 3
0 1 3
0 0 2
3 0 2
1 1 1
0 1 1
3 0 3
10 8
3 2 3
0 1 2
1 0 3
0 0 3
0 2 0
3 3 1
1 2 3
0 1 3
3 3 0
2 0 3
10 3
1 2 2
2 2 1
2 0 1
1 1 1
2 1 0
0 2 1
0 1 1
1 2 1
2 0 0
1 0 2
10 7
0 1 2
1 0 2
2 0 2
1 2 2
2 1 0
2 2 2
1 2 1
1 1 1
0 2 0
2 2 1
10 5
0 0 3
3 0 2
1 3 2
3 3 2
2 0 1
1 1 1
0 3 2
0 2 2
1 2 1
1 1 2
10 3
1 2 0
0 0 3
1 1 3
1 2 2
0 2 2
0 0 1
0 1 0
3 0 0
2 3 2
2 1 1
10 5
2 0 2
2 3 1
3 1 1
0 2 2
3 0 2
2 0 0
3 2 3
1 3 1
0 3 1
1 3 3
10 4
0 2 1
1 2 2
2 0 1
1 1 1
2 1 0
0 2 2
1 0 2
2 1 1
2 0 2
2 0 0
10 7
2 1 1
1 1 2
3 0 0
2 3 3
1 1 1
3 3 3
0 1 0
3 2 3
1 0 1
2 2 2
10 5
0 2 0
0 1 1
0 1 2
1 2 1
2 2 2
2 0 0
2 1 0
1 0 1
2 1 1
2 0 1
10 6
0 0 2
1 1 2
1 2 0
0 1 0
2 2 1
2 1 1
2 0 0
1 0 2
0 1 1
1 1 1
10 2
2 3 2
1 1 1
1 0 0
0 0 0
2 2 3
2 3 1
2 0 2
1 3 0
1 2 3
0 1 2
10 8
2 0 0
2 2 2
1 1 2
0 1 2
1 2 2
1 1 0
0 0 1
2 0 2
0 2 0
0 1 0
10 2
0 1 1
1 3 1
2 0 1
3 0 1
0 0 3
1 2 1
3 1 2
1 1 2
2 2 2
2 0 0
10 9
0 2 0
1 1 0
0 1 1
1 1 1
2 0 1
2 2 0
2 1 2
2 0 0
0 0 1
1 0 2
10 5
1 0 0
2 1 0
1 2 0
2 0 0
0 0 0
1 0 1
0 2 0
2 2 2
2 1 1
2 0 1
10 7
1 3 2
2 0 0
2 3 0
0 3 2
1 1 2
1 3 3
2 0 1
1 0 3
0 2 1
0 2 2
10 8
2 1 2
2 0 1
2 1 0
0 0 0
2 0 2
0 0 2
1 2 2
2 2 2
0 2 1
2 0 0
10 4
2 2 2
1 1 1
2 1 0
1 2 2
1 0 2
2 0 1
2 0 2
0 2 0
1 0 0
1 1 0
10 5
2 3 3
1 0 2
0 2 0
3 1 1
2 1 2
0 3 2
1 0 3
3 1 3
0 0 3
1 3 1
10 8
1 2 2
2 1 2
0 1 0
2 2 2
2 0 0
2 2 0
2 1 1
1 1 2
0 0 0
2 1 0
10 4
3 2 1
2 3 0
1 0 3
2 1 3
0 0 0
3 2 0
0 3 3
3 1 0
0 2 2
1 3 2
10 4
1 1 3
1 3 1
1 1 0
2 0 2
3 3 3
0 1 0
2 0 3
2 3 0
3 3 2
2 1 0
10 5
1 2 2
3 1 2
1 3 0
2 1 3
0 0 3
3 3 0
3 0 1
0 2 0
1 2 3
2 2 2
10 4
2 1 1
0 2 2
2 1 0
0 1 1
1 2 1
2 0 1
1 2 0
2 0 2
1 0 0
0 1 2
10 3
2 0 1
1 1 1
2 1 2
1 1 0
0 0 2
0 0 1
2 2 0
0 1 2
1 0 2
0 1 0
10 8
0 3 3
3 2 3
0 2 2
0 2 0
2 2 1
2 1 2
0 2 1
0 0 0
1 2 2
2 3 3
10 4
3 3 2
3 1 2
0 1 0
2 0 3
0 3 2
3 2 1
0 0 2
2 1 0
2 0 1
0 2 0
10 8
2 1 2
1 0 0
2 2 0
2 2 2
2 2 1
2 1 0
1 2 1
0 1 1
0 0 1
1 1 0
10 7
0 0 2
0 1 1
2 2 0
2 1 0
1 1 1
2 1 1
1 0 0
1 1 0
0 1 0
2 0 0
10 3
1 1 2
1 1 1
0 0 0
1 1 0
1 0 0
2 2 0
0 2 0
1 0 2
1 2 1
0 1 0
10 8
1 0 0
2 0 1
0 1 2
1 0 2
1 2 1
2 2 2
1 1 0
0 1 0
0 0 2
0 0 0
10 8
2 1 1
2 0 1
2 1 2
1 2 2
0 0 2
0 1 1
2 2 1
0 2 1
0 0 1
0 0 0
10 7
1 0 3
0 3 1
2 0 0
3 0 3
2 3 0
0 0 2
1 1 2
1 2 0
0 3 3
2 3 3
10 6
2 0 1
1 0 1
1 0 2
1 2 2
2 2 0
2 1 1
0 0 2
0 2 2
1 1 1
2 2 1
10 4
0 0 2
2 1 0
0 2 0
2 0 1
1 0 0
1 1 0
0 2 1
2 2 0
0 2 2
1 1 1
10 2
2 3 3
0 3 3
1 2 2
0 3 2
0 3 0
0 0 0
3 0 0
3 1 1
2 2 2
0 2 2
10 2
2 2 2
0 0 2
2 2 0
0 1 0
2 1 1
0 0 0
0 2 0
2 0 1
1 1 1
2 1 0
10 2
2 3 3
3 3 1
2 2 2
2 1 0
0 0 3
1 1 1
0 1 2
3 1 1
0 0 1
1 1 2
10 7
1 2 1
2 2 0
0 2 0
0 0 0
0 2 2
1 0 1
0 0 2
1 2 0
1 0 0
1 1 2
10 8
0 1 2
1 2 3
3 1 2
3 0 1
3 2 3
2 2 1
0 0 2
1 3 2
2 3 2
1 0 1
10 3
1 0 2
0 2 3
1 2 2
0 0 1
2 3 0
2 0 1
1 0 3
0 3 2
3 0 0
0 0 2
10 7
1 0 0
3 1 0
0 1 3
3 0 1
3 2 2
0 3 2
2 0 1
2 1 1
3 3 3
3 2 0
10 5
1 2 0
2 2 1
2 0 0
0 2 1
2 2 2
2 1 1
2 1 2
0 0 1
0 1 2
1 1 2
10 7
2 2 0
1 0 0
2 2 2
1 1 1
0 2 0
1 0 2
1 2 0
2 2 1
1 2 2
1 1 0
10 4
0 1 2
2 1 0
2 1 1
2 0 1
2 0 0
1 2 0
0 1 1
0 0 2
2 0 2
1 1 1
10 4
0 2 2
1 2 2
0 2 1
0 2 0
2 1 0
2 1 1
0 0 1
2 2 1
0 1 1
2 0 2
10 7
2 1 0
1 0 0
2 2 1
2 0 1
0 2 2
0 0 0
1 2 1
1 2 2
1 0 2
2 2 2
10 5
0 1 1
0 3 3
3 3 0
1 3 2
3 1 2
1 1 1
0 2 1
0 3 2
0 0 0
1 3 1
10 6
0 1 0
1 2 1
1 1 0
2 0 2
0 0 2
1 1 1
0 0 1
2 0 1
1 1 2
1 2 2
10 6
1 0 0
0 2 2
0 1 0
1 1 1
1 1 2
2 2 0
2 0 2
0 2 0
0 0 1
2 2 1
10 7
0 1 0
3 0 0
0 1 1
0 0 0
1 1 2
3 3 2
2 3 0
3 3 3
2 1 2
3 2 3
10 2
1 1 1
1 0 2
0 2 2
2 2 1
2 1 2
1 0 0
2 1 1
1 2 1
1 2 2
2 0 2
10 2
1 0 1
2 2 1
2 0 1
1 0 2
2 0 0
1 1 1
2 0 2
1 2 1
2 1 2
0 2 1
10 7
2 1 2
2 3 1
0 2 0
1 3 3
2 3 2
0 1 3
0 1 0
1 2 1
0 1 2
2 3 0
10 2
2 1 2
0 0 0
0 2 1
0 2 0
0 2 2
1 2 0
2 0 0
1 2 1
0 1 1
1 1 0
10 9
2 2 3
2 0 2
1 3 1
0 0 0
1 0 1
0 1 0
0 0 1
0 1 1
1 2 3
3 0 1
10 3
2 1 1
0 2 1
1 1 0
1 2 2
0 0 1
1 2 0
0 2 2
1 1 1
0 1 0
2 1 0
10 5
2 0 0
0 2 0
1 2 2
0 1 2
2 0 1
2 1 0
0 1 1
1 1 1
2 1 1
0 0 1
10 5
1 1 1
0 2 0
2 0 2
2 1 0
1 0 0
2 2 0
0 1 0
1 2 2
1 1 2
0 1 1
10 5
3 0 1
0 0 0
2 0 3
2 3 2
2 2 1
2 2 2
3 3 0
1 1 1
2 1 0
3 2 3
10 9
1 0 1
1 1 2
1 1 1
0 2 1
0 1 1
1 2 0
2 0 2
2 2 0
0 2 2
0 1 0
10 2
2 2 1
3 1 1
3 1 2
1 2 1
1 3 0
2 3 2
2 2 0
3 3 1
2 0 3
3 0 3
10 5
1 0 2
3 1 0
1 0 3
1 2 1
1 3 1
0 3 0
3 0 2
3 0 3
3 3 2
1 0 0
10 4
0 2 0
2 0 2
1 2 2
2 2 2
1 1 1
0 1 1
0 2 1
1 0 2
1 2 0
2 1 0
10 5
1 2 2
0 0 3
2 0 1
1 3 2
2 3 1
1 0 2
2 2 1
3 2 1
1 1 0
0 1 2
10 6
0 2 1
1 1 1
2 2 1
0 0 1
2 1 0
0 0 0
1 2 0
2 0 0
0 2 0
0 1 1
10 7
3 3 3
0 0 1
2 1 3
1 0 2
3 1 3
0 2 0
2 1 0
2 1 2
2 1 1
1 1 2
10 4
1 0 0
0 1 1
2 0 1
0 2 0
0 1 0
1 2 2
0 2 2
1 2 1
1 0 1
1 1 0
10 8
1 0 1
0 1 0
1 2 1
2 2 1
0 0 0
0 2 0
0 2 2
1 1 0
2 1 2
2 0 0
10 2
2 1 1
1 0 0
0 2 2
0 1 1
0 1 0
2 1 2
2 2 1
1 2 2
0 0 1
1 2 1
10 2
1 2 2
1 1 2
1 1 1
2 2 2
1 0 2
0 1 0
2 0 0
1 1 0
2 0 1
0 1 1
10 7
2 2 1
2 2 2
2 0 1
0 1 2
0 0 0
0 2 2
1 2 0
1 2 2
0 1 1
0 0 2
10 2
0 1 2
0 2 2
2 1 1
1 0 0
2 2 2
1 1 2
1 1 0
1 0 1
2 2 1
1 2 2
10 3
3 0 0
3 1 1
1 3 2
2 0 3
3 3 1
0 1 2
0 3 2
2 1 3
2 2 1
3 2 3
10 6
1 0 1
3 3 1
0 0 0
0 0 3
3 2 0
0 1 0
3 1 3
2 3 2
1 3 3
3 2 3
10 6
0 1 1
1 2 2
0 0 1
1 2 0
2 1 1
2 2 2
2 1 0
1 2 1
2 2 0
2 2 1
10 4
2 1 0
2 0 0
2 2 1
2 2 2
0 0 1
0 2 2
2 0 2
1 1 0
0 2 0
0 2 1
10 5
2 1 2
1 2 2
1 0 1
0 2 0
0 0 0
2 1 1
1 1 1
0 1 1
1 0 2
2 1 0
10 7
1 2 1
0 1 3
3 3 1
3 0 0
3 1 3
1 1 1
0 0 2
0 0 0
1 3 0
1 1 3
10 3
0 1 2
0 2 0
0 1 1
1 1 0
2 0 1
0 2 2
0 0 2
2 0 0
1 1 2
1 2 0
10 3
0 2 0
1 0 1
2 2 2
0 2 1
0 1 1
2 0 0
1 2 1
1 1 2
0 0 0
2 1 0
10 7
0 0 0
2 2 2
0 0 1
2 2 1
2 0 0
1 0 2
1 0 0
0 2 1
1 1 1
0 2 0
10 6
3 0 1
2 1 0
2 1 3
3 0 2
0 0 3
1 2 1
2 2 3
1 0 2
3 1 1
0 0 2
10 3
1 0 2
2 3 3
0 2 3
0 1 1
2 2 2
0 2 0
3 2 2
0 2 1
3 2 3
1 3 0
10 2
2 1 2
2 2 0
1 2 1
2 1 1
0 1 1
1 2 2
0 2 2
1 2 0
1 1 0
2 0 0
10 7
0 2 1
0 2 0
1 0 0
2 0 1
1 2 2
2 1 0
1 0 1
2 2 2
0 1 2
2 2 0
10 6
1 1 0
0 0 1
0 1 0
1 2 0
2 2 0
0 0 0
2 0 0
1 2 1
0 1 2
1 0 0
10 4
0 0 1
0 2 1
0 2 0
1 2 2
1 0 1
1 0 0
1 1 1
1 2 0
0 1 2
1 0 2
10 5
1 3 1
2 3 0
2 0 1
1 2 0
2 2 0
0 3 0
0 0 0
3 1 3
3 1 1
0 0 1
10 5
1 1 2
2 1 2
0 2 2
1 0 0
1 0 2
2 2 2
2 1 1
2 0 0
1 0 1
1 2 1
10 6
3 0 1
3 2 3
0 3 2
1 0 1
3 3 3
1 1 2
1 0 2
0 0 0
0 0 2
2 2 0
10 2
2 1 0
2 1 3
2 3 2
0 0 1
2 2 3
1 0 3
3 2 1
2 0 0
3 3 0
1 1 1
10 6
0 1 2
1 1 2
1 2 2
0 1 1
1 1 0
1 0 2
1 2 0
0 2 0
0 1 0
0 0 2
10 8
2 1 2
1 2 0
2 2 1
1 0 0
0 2 0
0 1 1
2 0 0
0 2 2
2 0 1
1 0 1
10 6
2 2 2
2 2 1
0 0 0
0 1 0
1 0 1
0 2 0
1 1 1
0 1 1
2 0 1
1 1 2
10 9
1 0 1
0 1 1
1 1 1
1 1 0
0 2 2
1 1 2
2 1 0
1 2 2
2 0 2
1 0 2
10 6
1 0 2
0 1 1
1 1 2
2 2 0
2 2 1
1 2 1
0 0 2
2 0 1
2 0 0
1 2 0
10 3
0 3 3
0 0 1
3 0 1
2 0 3
1 0 0
2 1 3
2 0 0
2 2 3
2 3 1
1 0 1
10 6
1 2 1
0 3 0
3 2 0
0 0 3
2 1 1
0 1 0
1 0 0
2 1 0
1 0 3
2 3 1
10 7
2 2 2
0 0 1
0 1 1
1 2 1
1 0 2
1 0 1
0 0 2
1 1 1
0 1 2
0 1 0
10 4
2 1 0
1 0 2
0 2 0
1 2 2
2 1 1
1 0 1
2 2 0
0 1 0
0 0 0
1 0 0
10 8
2 2 1
1 0 2
1 2 0
2 2 0
1 1 1
2 1 1
1 2 1
2 0 1
0 1 1
1 0 1
10 8
1 0 2
2 1 1
0 1 1
2 1 3
3 1 1
2 2 2
3 2 1
0 1 3
0 3 3
1 1 0
10 4
2 2 1
2 2 0
1 1 1
2 2 2
1 2 1
0 0 1
0 2 0
1 1 0
2 0 2
2 1 1
10 9
2 1 3
3 2 0
0 1 0
1 0 2
3 1 3
3 0 3
1 1 2
2 3 0
1 3 3
0 0 2
10 6
3 0 3
0 0 2
2 0 3
1 1 2
2 1 1
3 1 2
0 2 2
0 3 1
1 2 2
1 3 1
10 8
1 0 0
2 0 1
0 1 1
2 0 2
0 0 1
1 0 1
2 2 0
1 2 0
2 1 2
0 1 2
10 8
0 1 2
2 0 3
0 0 1
3 1 1
2 1 1
3 2 0
2 0 2
3 2 3
1 0 1
1 1 0
10 3
2 2 0
2 0 0
2 0 2
0 2 2
2 2 2
1 0 1
0 1 0
1 0 2
1 2 2
1 1 2
10 3
0 1 2
1 2 0
0 2 3
3 0 1
3 1 2
1 1 1
0 3 2
3 0 0
2 3 0
0 3 0
10 9
0 1 0
2 3 0
3 0 0
1 2 2
3 2 0
2 1 1
1 0 1
1 1 3
2 0 1
3 3 2
10 9
1 1 2
0 1 1
0 1 0
0 1 2
1 0 2
2 1 2
0 0 2
2 0 2
2 1 0
0 2 2
10 4
3 0 1
2 1 3
1 2 3
1 3 1
1 0 0
2 2 2
3 1 3
0 2 3
0 0 0
3 2 3
10 9
3 3 3
2 0 3
1 1 0
0 0 3
0 2 2
2 0 1
3 2 3
2 1 1
0 2 0
0 0 2
10 2
2 1 1
3 0 1
3 2 0
0 1 2
0 3 2
2 1 3
0 3 1
3 0 2
0 1 0
1 3 2
10 4
0 1 1
3 2 1
3 0 2
0 0 3
2 0 2
2 2 2
2 0 0
3 3 2
1 2 3
2 3 2
10 6
0 0 0
1 1 2
2 1 2
0 0 1
0 1 1
1 2 2
1 0 2
0 2 0
0 2 2
2 2 2
10 6
3 1 3
1 2 2
0 2 1
1 1 2
1 3 2
1 2 3
2 3 2
0 0 1
0 0 3
0 3 0
10 9
2 2 3
3 1 1
1 0 1
2 3 2
1 3 1
2 0 3
0 2 3
0 0 0
3 2 0
1 2 2
10 7
0 0 2
2 1 1
2 2 1
0 2 2
0 2 0
1 0 2
1 1 1
2 0 2
2 0 0
2 1 0
10 4
2 0 2
1 1 1
1 2 1
0 2 2
0 1 0
2 1 1
2 0 0
0 0 0
0 1 1
1 1 2
10 5
2 1 3
1 2 3
1 3 3
1 3 2
1 3 0
2 3 2
0 1 2
0 3 2
2 0 1
1 0 0
10 7
2 2 2
1 2 1
0 2 1
0 0 0
2 1 1
0 0 1
0 2 0
2 1 2
1 0 2
1 0 0
10 6
2 2 1
3 1 0
0 2 1
3 2 3
0 2 2
3 2 2
0 0 1
3 2 1
0 0 3
2 1 1
10 6
2 1 1
2 0 2
0 1 1
1 0 0
2 2 1
2 0 0
1 2 0
1 2 1
1 1 1
0 2 1
10 6
1 2 3
3 0 2
0 3 1
0 0 0
3 3 1
3 0 3
0 1 3
3 2 3
1 1 3
1 1 2
10 9
1 2 1
0 2 0
1 1 0
1 0 2
2 2 1
1 0 1
2 2 2
2 1 0
0 0 2
0 1 2
10 4
0 0 0
0 2 0
1 2 0
2 2 0
0 1 1
2 1 1
1 1 1
0 1 0
0 0 1
1 1 0
10 6
1 2 2
1 1 2
1 2 0
2 0 2
0 1 1
0 1 2
2 1 2
0 2 1
2 1 1
0 2 0
10 3
0 1 1
0 0 0
2 0 1
2 1 2
1 1 1
1 2 2
0 1 2
0 0 2
2 1 0
0 2 1
10 8
2 1 2
1 2 2
2 2 3
2 0 1
0 1 2
0 0 0
2 2 2
2 1 3
1 0 0
1 3 3
10 8
2 2 2
2 0 0
0 0 0
1 1 2
0 0 1
2 0 1
2 1 1
1 2 1
0 2 0
2 1 0
10 5
3 2 1
3 0 0
3 3 3
3 3 2
2 3 2
2 3 1
1 2 1
1 2 0
1 3 2
2 0 1
10 6
0 1 1
1 2 3
0 0 0
0 3 0
0 1 2
2 3 0
1 0 0
0 0 2
2 3 3
1 2 1
10 5
2 0 3
3 1 0
3 0 2
1 1 2
0 0 3
0 2 1
1 1 1
2 0 2
2 2 1
1 0 3
10 2
1 2 1
0 2 2
2 0 1
0 0 1
0 2 1
1 0 1
1 1 0
2 2 0
1 1 2
2 2 1
10 8
3 0 0
3 2 1
3 1 1
1 1 1
2 2 1
1 0 0
3 0 1
1 3 1
3 0 3
2 3 2
10 3
0 3 1
0 2 1
1 2 2
1 1 3
0 0 3
1 2 3
0 1 3
2 2 3
0 3 0
3 2 3
10 2
3 3 3
1 2 2
3 2 3
3 1 1
1 3 3
1 1 0
0 0 1
2 1 0
0 3 0
1 3 1
10 6
0 0 0
1 0 1
2 1 2
2 0 2
1 1 0
2 2 2
1 1 1
0 2 1
1 0 2
2 1 0
10 8
0 2 1
0 1 0
2 0 0
0 1 1
2 1 0
1 1 0
2 0 1
1 0 1
2 2 2
2 1 1
10 2
0 0 2
0 2 3
3 1 0
2 0 1
2 3 0
1 0 2
0 2 0
0 2 2
2 1 2
0 0 1
10 2
2 2 2
3 2 3
2 3 1
2 2 1
1 2 3
2 1 2
2 3 2
0 3 2
1 3 3
2 3 3
10 8
1 2 2
3 3 1
0 2 2
0 0 1
2 2 0
1 1 1
0 2 1
3 0 1
0 2 3
3 1 0
10 9
2 1 0
1 2 1
0 1 2
1 0 2
0 0 2
0 1 0
1 2 2
2 0 1
1 1 2
0 1 1
10 3
1 2 1
2 2 1
1 0 1
2 1 1
0 0 1
0 0 2
0 1 0
1 1 2
0 0 0
0 1 2
10 9
2 0 0
0 2 1
1 1 0
2 1 1
2 1 0
1 0 0
1 2 1
0 0 0
0 2 0
0 1 0
10 2
0 0 1
2 1 2
1 0 1
0 0 0
1 0 2
0 1 2
2 1 1
0 1 0
0 2 2
0 2 1
10 5
2 0 0
1 2 1
2 2 1
2 1 1
0 1 2
1 1 0
2 1 2
1 1 2
0 2 2
0 1 0
10 4
1 1 1
0 1 1
2 1 0
0 2 2
2 2 1
0 2 0
0 1 0
0 0 0
1 2 0
1 0 0
10 9
3 2 0
1 1 2
0 0 1
2 3 1
2 2 1
2 2 2
0 2 1
2 0 2
2 1 3
3 1 1
10 6
1 1 1
1 2 2
2 1 1
0 1 2
2 2 2
2 0 0
0 0 2
0 2 1
0 0 1
1 0 0
10 4
2 2 1
2 1 2
0 1 1
1 2 0
0 0 2
0 0 0
0 1 2
0 2 0
0 2 1
2 2 0
10 2
0 1 2
0 1 0
1 2 1
0 2 1
2 0 2
2 1 2
1 2 0
2 0 1
1 0 1
2 0 0
10 3
3 0 3
3 2 2
0 1 2
1 1 0
2 1 1
3 1 3
1 3 1
3 2 1
2 2 1
2 0 1
10 9
1 3 3
1 2 1
0 0 1
1 0 2
2 2 3
3 2 2
1 0 3
2 2 2
2 1 1
2 2 1
10 6
0 2 1
0 2 0
3 1 1
1 2 3
1 3 0
0 1 2
2 2 0
3 1 2
3 1 0
2 2 2
10 3
2 2 0
1 2 2
1 2 1
2 1 3
0 3 2
2 3 0
3 2 0
2 1 0
1 1 3
0 3 1
10 9
1 1 1
3 1 0
0 1 1
2 1 1
0 2 2
3 1 2
3 2 0
1 3 2
0 3 0
2 0 3
10 4
0 0 0
2 2 0
1 2 2
1 1 1
2 2 1
2 1 2
0 1 0
0 2 1
0 2 2
0 1 1
10 7
1 1 2
1 2 2
1 0 0
2 0 2
1 2 1
0 2 0
2 1 2
2 2 1
0 1 0
2 2 0
10 5
1 1 1
2 0 2
1 1 0
1 0 3
3 1 3
2 2 1
2 1 0
0 0 2
3 3 0
1 1 2
10 2
2 2 2
2 2 0
1 1 2
1 2 2
1 0 0
0 1 0
2 0 0
2 0 1
2 1 2
2 2 1
10 8
0 0 3
0 3 0
1 3 3
0 2 3
0 2 1
1 2 0
1 1 1
2 1 3
1 1 2
1 0 1
10 4
1 0 3
0 1 0
0 2 0
1 3 0
2 2 0
3 0 0
1 1 3
0 0 3
3 0 2
3 3 0
10 4
1 0 2
1 1 0
2 2 2
1 1 1
0 0 2
2 0 1
0 0 1
1 2 2
2 0 0
0 0 0
10 9
1 2 2
2 2 1
0 2 2
0 0 1
1 2 0
2 0 2
1 1 0
2 2 2
0 1 1
2 0 0
10 8
1 2 0
0 2 1
2 1 2
2 0 1
0 2 0
2 0 0
0 0 2
2 2 2
1 0 1
0 2 2
10 9
2 1 1
0 1 2
0 0 0
1 1 1
2 2 2
1 1 2
0 1 1
0 1 0
1 1 0
0 2 2
10 6
3 1 2
1 2 0
3 0 2
1 1 1
3 0 0
1 0 2
1 0 0
2 3 0
1 3 0
0 0 0
10 9
0 2 2
0 1 1
1 0 1
2 0 1
2 1 2
1 0 2
1 0 0
1 1 1
2 2 0
2 0 0
10 4
3 0 1
2 3 2
2 3 0
1 1 2
2 2 1
0 0 1
2 3 3
2 1 0
0 3 0
3 1 3
10 2
2 1 1
2 3 1
1 0 3
2 3 2
2 3 3
1 3 0
3 0 0
2 0 0
3 3 2
0 2 3
10 8
3 2 3
3 2 2
0 1 0
2 1 2
2 3 0
3 1 2
1 1 3
0 0 1
2 3 3
0 3 1
10 7
0 3 0
2 0 2
2 3 2
0 3 3
3 3 0
3 1 1
0 0 1
1 3 0
1 3 2
1 3 1
10 7
1 2 0
3 1 0
0 3 2
1 1 1
3 3 1
0 2 0
2 2 2
3 2 2
3 0 3
2 0 2
10 4
0 2 0
2 1 0
1 1 0
0 0 0
2 0 1
2 0 0
0 0 1
1 2 1
0 1 2
1 2 0
10 2
1 1 0
0 0 3
1 3 0
0 2 1
1 0 3
2 3 0
0 0 0
0 2 3
1 3 1
3 1 2
10 6
2 1 2
0 0 0
1 1 0
0 0 2
1 2 1
1 1 1
2 1 0
1 0 1
0 1 2
2 0 1
10 6
1 1 1
1 1 2
2 1 1
2 2 0
1 0 1
0 0 2
0 1 0
2 0 1
1 2 1
0 1 2
10 8
2 2 2
2 3 1
0 0 3
0 3 1
1 0 3
3 2 3
0 1 2
1 3 2
2 1 3
3 1 2
10 4
1 1 0
0 2 1
1 0 1
1 2 0
0 0 1
1 2 2
2 0 2
0 0 0
2 1 2
2 1 1
10 2
1 1 3
3 1 2
0 1 3
0 0 0
1 0 0
3 0 1
2 1 1
3 1 1
1 1 1
1 3 0
10 7
1 2 0
0 1 2
2 3 3
0 3 1
1 0 0
3 2 3
0 2 2
1 2 3
3 3 2
2 0 0
10 7
1 1 2
1 2 1
1 0 2
1 0 0
0 1 1
2 0 2
2 2 0
2 0 1
1 0 1
0 0 2
10 2
2 2 1
3 1 1
3 2 0
3 2 3
2 1 2
1 1 0
0 0 0
3 0 0
2 3 2
1 3 1
10 8
2 0 1
1 0 1
0 0 2
2 0 2
2 0 0
0 1 1
0 0 0
1 0 2
1 1 1
2 1 2
10 4
1 3 3
0 1 3
0 2 3
2 1 0
1 1 3
0 2 0
2 1 3
2 3 1
3 0 0
3 1 3
10 3
0 0 0
1 2 0
0 0 2
2 2 0
2 0 2
2 0 1
2 0 0
2 2 2
1 0 2
0 0 1
10 8
2 0 3
1 2 2
1 1 2
3 3 3
3 3 0
2 0 2
0 0 0
0 3 2
2 3 1
0 1 2
10 7
1 1 1
2 3 2
1 1 2
2 1 0
0 1 2
3 0 2
3 0 0
1 1 3
2 2 0
2 0 3
10 3
0 1 2
2 2 1
2 1 1
1 1 0
0 0 1
1 2 1
2 2 0
2 0 1
2 1 2
0 2 1
10 9
2 1 0
0 1 1
0 0 2
2 2 1
1 1 2
0 2 1
1 1 0
1 0 0
2 2 0
0 2 0
10 5
0 1 0
1 1 0
1 0 2
0 3 1
2 1 3
1 1 1
2 2 1
2 2 0
2 1 0
1 0 3
10 8
2 1 0
2 1 2
2 2 2
2 1 1
0 0 1
1 0 2
1 2 2
1 1 2
2 2 0
1 1 1
10 7
1 2 0
0 0 0
2 1 1
1 0 0
2 1 0
2 1 2
1 1 1
2 2 0
0 1 1
2 2 1
10 2
0 0 1
1 2 2
2 1 1
1 2 0
1 1 0
1 0 0
0 2 1
1 0 1
1 1 1
1 2 1
10 5
2 2 1
2 1 1
2 0 0
2 1 2
1 0 2
0 1 0
0 2 2
2 0 2
1 0 0
2 1 0
10 8
1 1 1
2 0 1
0 0 1
0 2 2
2 1 2
1 1 2
1 2 2
1 0 1
1 2 0
0 0 0
10 5
3 2 3
2 3 1
2 1 1
2 2 0
3 3 3
1 0 2
1 2 2
0 2 3
2 0 2
2 3 0
10 7
2 0 3
2 2 1
0 1 1
0 2 1
0 0 0
1 0 1
0 3 3
3 3 3
1 2 1
0 1 3
10 9
0 2 1
2 0 0
2 2 2
1 2 0
1 0 2
1 2 1
0 0 0
1 0 1
2 0 2
1 0 0
10 4
0 0 2
1 2 0
0 1 1
2 1 1
2 0 0
1 1 0
2 1 2
1 2 2
1 0 0
0 2 0
10 9
1 2 2
2 1 2
2 2 1
0 0 0
1 0 1
0 2 0
0 1 0
2 2 2
1 0 2
1 2 0
10 6
2 1 0
0 2 2
0 2 0
1 0 0
1 1 1
2 0 0
0 0 0
2 1 2
2 1 1
1 2 2
10 3
1 2 2
0 0 3
3 2 2
1 2 3
1 1 0
2 2 1
1 0 0
0 3 0
0 2 3
1 0 3
10 3
1 2 3
3 1 3
0 2 0
0 1 0
2 1 3
0 2 2
2 0 2
0 0 3
2 3 1
1 3 2
10 8
2 2 0
3 0 2
3 3 1
3 2 0
0 0 3
1 0 1
0 3 0
3 3 3
1 0 3
2 0 1
10 8
3 2 1
2 3 1
2 0 1
0 0 0
0 0 3
2 2 1
1 2 0
2 1 3
2 3 3
1 0 1
10 5
2 1 3
2 3 3
3 0 3
3 1 2
3 0 2
3 2 1
0 2 0
1 3 0
1 2 0
1 0 3
10 3
3 3 3
0 1 2
3 2 2
2 2 2
2 2 3
3 3 1
2 0 3
3 1 3
2 1 0
1 1 2
10 9
2 1 2
1 2 1
1 2 0
2 0 2
0 1 2
0 1 0
2 1 0
0 2 2
2 2 1
0 2 1
10 6
2 0 2
1 2 1
2 2 0
0 2 1
1 2 0
0 2 2
0 1 0
0 1 2
1 2 2
2 1 1
10 7
1 3 0
0 3 2
3 3 3
0 3 3
2 0 2
1 0 1
0 3 1
3 2 1
1 0 2
3 1 3
10 4
0 1 1
0 2 0
0 0 1
1 0 0
0 2 1
1 1 0
2 2 2
0 0 2
1 2 2
0 1 0
10 2
0 1 2
2 2 0
1 2 1
2 2 1
0 0 0
2 1 0
2 0 2
0 2 1
0 1 0
2 0 1
10 4
3 1 2
3 0 0
1 3 2
1 2 3
2 2 3
0 0 2
2 0 1
2 1 2
2 3 0
2 2 2
10 9
0 2 2
0 1 0
1 0 1
0 1 2
2 1 2
0 0 2
1 0 2
2 2 1
0 0 0
2 0 0
10 8
2 3 2
2 1 0
1 2 2
2 3 3
1 3 2
0 3 2
1 2 1
2 0 3
1 1 3
1 0 0
10 9
0 3 0
0 2 3
3 2 3
3 2 2
2 3 0
0 1 1
0 2 0
3 1 1
2 0 0
0 3 1
10 3
0 1 0
3 2 2
0 2 1
1 2 0
3 1 3
1 3 2
1 2 3
1 3 1
2 0 1
1 2 1
10 8
1 1 3
2 2 0
2 3 3
0 3 2
0 1 1
3 0 1
0 0 0
1 1 2
0 3 3
0 1 2
10 7
1 2 1
2 1 2
2 0 0
0 1 2
1 2 0
1 0 1
2 2 0
2 1 1
1 0 2
2 0 1
10 2
1 2 2
2 1 2
1 2 1
0 0 2
0 1 2
0 0 0
0 1 1
2 0 2
2 0 1
1 1 1
10 2
2 1 0
3 3 1
3 0 1
3 2 0
2 3 3
1 0 0
2 0 2
3 1 1
0 3 1
1 3 1
10 5
1 2 2
1 1 1
2 1 0
2 0 2
1 1 2
2 0 0
2 1 1
1 2 1
0 1 0
2 1 2
10 3
3 0 3
2 2 0
1 3 2
2 1 1
1 0 0
1 0 3
1 2 3
3 2 1
0 2 2
2 3 0
10 3
2 0 0
1 1 0
0 1 2
1 2 2
0 2 1
2 1 2
1 0 2
0 1 1
1 1 1
2 1 0
10 6
1 0 0
0 2 1
0 0 0
2 0 2
2 0 0
0 0 2
0 2 2
2 0 1
1 1 2
0 2 0
10 7
1 3 2
3 2 2
1 3 0
0 2 0
3 1 1
2 0 3
3 2 3
3 2 1
3 3 1
3 1 2
10 3
3 1 2
0 2 0
1 1 1
1 2 1
2 2 3
0 3 2
1 2 3
1 0 2
1 2 0
2 3 1
10 5
1 1 0
0 2 3
2 1 0
3 3 2
2 0 3
3 1 0
3 1 3
3 0 1
3 2 0
2 0 0
10 5
0 2 1
2 0 1
0 2 2
1 0 1
2 2 1
2 0 2
0 1 2
0 0 2
1 0 2
1 0 0
10 3
0 0 3
2 2 2
1 1 2
0 2 1
0 1 2
1 3 1
0 0 1
0 2 0
0 3 0
2 0 1
10 2
2 1 0
0 1 2
1 1 1
2 0 1
2 1 2
0 0 1
2 2 1
0 2 2
2 0 0
0 0 2
10 7
1 3 1
1 1 3
0 3 3
3 3 2
3 2 0
1 0 0
1 1 1
2 0 2
3 0 2
2 0 1
10 8
2 1 0
2 2 0
2 1 2
1 1 2
0 0 1
0 1 0
2 0 0
1 2 2
2 0 1
1 1 1
10 3
0 2 2
2 1 3
0 3 3
0 0 1
0 1 1
2 0 1
2 3 3
1 2 3
0 2 1
1 1 1
10 5
2 0 2
0 1 0
1 0 2
2 1 1
1 0 1
2 0 1
1 1 0
0 1 2
2 1 2
1 2 0
10 4
1 3 3
0 1 1
3 0 3
3 3 3
2 3 1
2 2 3
1 1 0
3 1 2
2 0 0
3 2 1
10 2
0 0 0
2 0 2
1 0 2
0 1 2
1 2 2
1 2 0
1 1 2
2 0 1
0 2 1
1 2 1
10 7
3 1 0
1 0 0
1 3 3
1 0 2
0 2 2
0 0 3
3 2 2
2 2 3
0 2 3
1 3 1
10 7
2 1 0
1 1 0
1 2 0
0 2 2
2 0 1
2 2 1
0 1 2
0 1 0
0 1 1
1 0 0
10 7
0 0 0
2 2 0
0 2 0
2 0 2
0 0 2
1 2 0
2 1 2
0 1 0
2 1 1
2 0 1
10 9
0 2 1
1 1 2
0 1 1
0 1 2
0 2 0
0 1 0
0 0 0
2 0 2
1 1 1
1 1 0
10 2
0 2 2
0 0 2
0 1 0
1 2 2
1 2 0
2 2 0
2 0 2
1 1 0
2 1 1
2 1 2
10 5
0 2 3
0 0 0
1 0 1
3 2 3
3 2 2
3 3 3
0 2 2
2 1 2
3 1 2
0 0 3
10 2
3 2 3
2 0 0
0 1 3
0 3 1
1 2 1
0 1 2
1 0 1
0 3 0
2 1 2
1 3 3
10 2
0 1 1
2 1 2
0 2 1
0 0 0
2 1 0
2 1 1
1 1 0
0 0 1
1 0 2
0 2 2
10 2
0 3 2
3 3 1
2 0 1
3 2 1
1 2 1
3 1 3
1 2 3
3 2 2
3 1 1
2 1 0
10 4
0 2 2
2 0 0
1 1 1
2 2 0
1 0 0
0 1 1
0 1 2
0 0 0
1 0 1
2 0 1
10 6
1 0 0
2 0 2
0 3 2
0 2 0
2 2 3
1 2 2
1 0 1
3 0 1
1 0 3
1 3 2
10 4
1 2 1
1 1 0
0 1 0
0 2 1
2 0 0
2 2 0
2 1 0
2 1 1
0 0 2
2 2 2
10 4
1 2 0
0 0 1
1 1 1
1 0 1
0 2 0
1 1 0
0 1 2
2 2 1
1 0 2
0 1 0
10 3
0 0 3
0 0 1
3 0 1
2 1 1
2 3 1
3 3 3
0 2 3
1 3 1
3 0 0
3 1 2
10 9
0 1 2
0 1 0
1 2 2
1 0 1
2 1 1
0 0 2
2 2 2
0 0 1
1 1 0
2 1 0
10 8
2 0 2
0 1 2
0 1 1
0 2 2
2 1 0
0 0 2
0 0 1
1 1 2
1 0 0
0 2 1
10 3
0 1 2
1 0 2
1 0 1
0 0 1
0 1 0
2 0 1
2 2 0
2 1 1
2 1 2
1 0 0
10 9
1 1 0
2 0 2
0 0 2
1 2 2
2 0 1
0 2 0
1 2 0
2 1 0
1 2 1
1 0 2
10 3
0 1 0
0 0 2
0 1 1
2 1 3
1 2 2
3 1 1
1 0 2
1 1 0
3 2 2
0 3 0
10 7
0 0 1
2 2 2
2 2 0
1 0 2
1 2 2
0 0 0
0 1 2
0 2 0
1 0 0
1 1 2
10 9
1 2 0
0 0 2
1 1 0
2 2 2
2 0 0
0 2 0
1 0 0
0 0 0
2 0 1
1 2 2
10 2
0 3 3
2 1 2
2 1 3
2 2 0
0 1 3
0 3 1
1 3 3
0 0 0
0 0 1
2 2 2
10 5
3 3 2
0 0 0
1 0 3
1 2 3
3 0 3
2 2 2
0 1 1
3 0 0
3 1 3
1 3 0
10 4
1 2 1
2 0 0
0 0 1
2 2 1
0 1 2
2 0 1
1 2 0
2 0 2
0 0 0
0 0 2
10 2
0 1 3
2 0 3
3 2 0
0 0 0
3 0 3
1 1 3
2 3 2
2 2 2
2 2 3
1 3 0
10 4
2 3 0
2 1 3
2 2 1
0 0 3
2 0 1
0 0 1
1 3 0
2 1 1
0 3 2
3 2 2
10 4
3 1 2
1 0 2
2 0 3
0 2 1
3 1 0
2 1 1
2 3 1
2 3 0
3 2 2
0 2 0
10 6
0 1 0
0 2 0
1 0 0
2 2 0
2 0 0
1 2 0
1 1 2
1 1 1
2 0 1
2 0 2
10 5
2 1 3
0 2 1
2 2 3
2 3 2
3 0 1
1 1 2
0 0 2
2 2 2
2 0 3
1 1 1
10 8
2 1 2
2 2 1
1 0 1
1 1 1
2 1 1
2 2 0
1 0 2
0 1 1
1 2 1
2 0 1
10 3
2 2 1
2 1 3
2 1 1
0 2 1
2 3 3
1 1 2
2 3 1
0 0 3
0 3 3
2 1 0
10 7
0 2 1
2 2 0
0 2 2
0 1 2
2 1 0
2 1 1
0 2 0
1 1 2
2 0 1
0 0 0
10 7
1 0 0
1 2 2
1 2 1
0 2 1
0 1 2
2 1 1
0 0 1
0 1 0
2 1 0
0 1 1
10 5
0 0 1
2 2 3
2 2 1
3 2 3
1 3 2
2 2 0
1 3 0
3 1 1
0 0 2
0 1 1
10 9
3 0 0
3 1 2
2 3 2
2 2 1
1 1 3
1 1 2
0 2 2
1 0 2
3 3 1
2 0 0
10 3
1 0 3
1 3 0
0 3 2
2 3 3
3 3 1
3 2 3
0 2 3
0 1 0
3 0 2
1 1 0
10 4
3 2 0
1 3 3
3 1 3
0 2 3
2 0 1
2 1 3
3 3 3
1 1 1
3 2 3
2 1 0
10 2
2 0 0
1 2 0
0 2 1
0 2 0
2 1 0
2 1 1
1 0 0
1 0 1
0 0 2
2 2 0
10 7
3 2 3
3 1 0
0 2 0
0 1 1
2 1 2
3 0 1
1 1 1
3 0 0
1 1 3
1 1 2
10 8
1 0 2
1 3 1
0 1 3
0 0 1
3 3 1
1 2 3
2 1 2
2 3 3
1 2 0
0 2 3
10 6
2 1 1
2 2 1
1 0 1
2 0 1
1 2 1
0 2 2
0 0 0
2 2 2
0 1 2
2 0 2
10 4
2 2 2
3 3 3
3 2 0
3 0 3
0 1 0
0 3 2
3 3 1
1 1 0
2 1 0
0 3 0
10 4
1 3 1
1 0 2
0 3 0
3 3 1
0 3 2
3 0 3
3 2 1
2 2 2
2 0 1
1 0 1
10 8
2 0 0
2 2 0
2 1 1
0 0 2
1 1 1
2 1 2
1 0 0
0 1 1
2 0 1
1 1 2
10 8
2 1 1
2 2 2
0 0 1
1 2 2
0 2 1
0 0 2
0 2 2
0 1 0
2 0 2
1 2 0
10 5
2 2 3
3 2 3
1 0 1
2 2 0
3 0 0
3 3 0
1 1 3
1 1 2
1 2 2
2 0 1
10 7
1 2 1
0 0 1
2 2 1
2 1 1
0 2 0
1 0 2
2 2 0
2 0 0
0 0 0
1 2 0
10 7
2 0 1
1 1 2
0 2 0
2 1 2
1 0 2
2 1 0
0 1 0
0 1 1
0 0 2
0 2 2
10 4
3 1 0
3 2 3
1 3 2
3 2 2
0 2 3
2 0 0
1 0 1
3 1 1
1 0 3
0 2 2
10 9
0 0 0
2 1 1
0 1 0
0 1 1
0 2 0
2 2 0
2 0 0
2 0 1
0 1 2
1 1 2
10 7
3 1 1
0 0 3
2 0 1
0 1 3
0 3 3
2 3 2
2 0 0
2 1 3
1 2 3
0 0 1
10 4
1 0 2
0 0 1
1 1 1
0 2 1
0 2 0
0 0 2
0 1 0
0 1 1
1 2 2
0 1 2
10 9
0 2 1
1 2 2
0 2 2
0 0 1
1 0 1
0 0 2
0 1 0
2 0 0
0 2 0
2 1 1
10 8
3 1 1
1 0 3
3 3 2
1 3 3
2 3 1
2 3 0
0 3 3
2 3 2
1 2 0
2 1 3
10 2
1 0 1
3 2 2
1 2 2
0 0 0
3 3 3
1 0 3
3 1 1
1 3 1
0 2 1
1 2 0
10 9
2 2 0
2 2 1
2 1 2
1 1 2
1 0 2
0 2 2
1 1 1
2 1 1
2 0 2
1 0 0
10 3
3 2 2
3 0 2
2 0 3
3 2 3
1 1 1
0 2 3
0 3 3
0 0 1
2 0 1
0 0 3
10 3
0 1 0
3 1 3
0 1 2
2 0 0
2 3 0
0 2 3
1 1 1
0 0 2
0 2 2
2 3 2
10 7
1 1 2
1 0 2
3 0 2
1 3 3
2 1 1
3 1 1
3 3 1
1 2 3
2 2 0
2 0 1
10 8
0 0 0
2 0 3
0 0 2
2 3 3
2 0 1
1 2 1
0 1 3
3 3 0
3 3 1
3 1 0
10 4
1 2 1
0 2 0
2 2 2
2 1 2
0 0 2
1 1 2
2 1 1
1 0 1
1 0 0
1 0 2
10 6
1 1 3
0 1 1
3 1 1
3 3 1
3 1 0
2 0 3
3 2 3
0 1 2
2 0 0
2 3 3
10 7
0 2 2
0 0 1
2 0 1
1 2 0
2 0 2
0 1 0
2 0 0
1 0 1
0 0 2
0 2 0
10 2
2 1 1
1 3 3
0 0 2
2 0 2
0 0 1
2 3 0
0 3 0
2 0 0
3 0 1
1 1 2
10 3
2 0 3
3 2 3
3 1 0
0 3 0
1 2 1
0 0 1
2 3 3
0 1 3
3 1 2
2 1 2
10 2
3 0 2
1 1 2
2 1 3
2 1 0
3 2 0
1 2 3
2 3 0
3 0 3
3 2 2
3 1 3
10 3
0 1 0
1 1 1
1 0 1
1 2 0
0 1 1
2 1 1
2 1 2
2 2 2
0 0 1
2 0 2
10 2
0 2 2
1 0 1
0 2 0
2 0 1
1 2 0
0 2 1
2 2 1
1 2 2
1 2 1
2 1 1
10 7
2 2 0
1 2 2
0 2 0
1 1 2
2 1 0
1 2 0
2 2 2
0 0 1
1 0 1
0 0 2
10 2
0 1 1
0 2 1
1 1 2
2 1 2
1 2 0
2 1 1
0 0 1
0 1 2
2 2 2
0 0 2
10 6
1 1 0
1 1 1
1 0 1
1 0 2
0 2 1
2 1 1
0 1 1
0 0 2
2 2 2
2 1 0
10 2
1 1 2
3 0 0
3 2 2
2 3 2
2 0 0
1 0 0
1 0 2
1 1 1
1 3 2
3 2 1
10 7
0 3 0
3 0 3
0 2 3
2 1 0
3 2 0
1 0 3
1 3 0
3 0 0
0 0 0
1 2 2
10 7
2 2 1
2 1 0
0 2 0
1 0 0
0 2 1
1 1 0
0 1 1
0 0 0
0 0 2
2 0 2
10 4
2 2 0
0 0 2
0 2 0
1 0 2
2 2 2
2 0 0
2 1 2
1 2 0
0 0 0
2 1 1
10 8
1 1 2
2 2 0
1 1 1
2 2 2
2 0 0
0 1 2
2 1 1
2 2 1
1 2 0
0 0 2
10 2
0 2 0
2 1 1
1 0 2
0 2 1
0 0 1
1 1 0
0 1 2
1 2 2
2 2 1
2 2 2
10 3
1 1 0
1 3 0
1 3 2
3 0 0
3 0 1
1 0 1
2 2 1
3 3 0
3 2 2
0 2 1
10 6
0 1 0
2 1 0
2 2 2
2 3 0
1 3 0
1 0 0
0 3 1
0 1 3
0 1 2
2 1 2
10 4
2 2 0
2 1 1
0 2 2
1 2 1
0 2 0
1 1 2
2 2 2
1 2 2
0 0 1
0 0 0
10 5
2 1 0
3 3 3
0 3 1
0 1 3
2 1 1
1 1 0
2 0 0
3 1 3
0 0 0
1 0 0
10 9
0 3 1
2 0 1
2 0 3
1 3 1
3 1 3
1 2 3
1 1 3
0 1 3
2 1 0
2 0 2
10 5
1 0 0
0 0 0
1 2 1
1 0 2
2 0 2
0 0 1
2 2 0
0 1 2
2 2 2
1 2 2
10 4
1 0 2
1 1 3
0 3 3
2 2 3
1 2 3
2 0 3
0 1 3
3 0 1
0 0 2
3 1 2
10 4
3 3 2
0 0 2
0 2 0
0 1 0
2 3 3
2 2 0
0 1 1
1 2 3
1 3 0
3 0 0
10 6
3 1 3
0 1 2
0 0 3
2 3 3
0 2 2
2 2 0
0 0 2
3 3 1
0 0 0
1 0 0
10 2
0 1 1
2 0 2
0 0 1
0 1 2
1 0 0
0 0 0
1 1 2
0 2 1
1 1 0
0 2 2
10 7
2 1 0
0 2 0
0 1 1
1 2 0
1 1 1
2 0 0
1 1 2
0 1 0
0 2 1
2 1 1
10 8
0 1 0
0 3 1
3 3 1
0 2 3
2 2 2
0 2 2
3 0 1
2 3 0
1 2 3
3 3 3
10 8
1 2 0
1 2 2
1 0 0
1 1 2
1 1 1
2 1 2
1 1 0
0 0 1
0 1 1
0 0 0
10 2
0 2 2
1 0 1
1 1 0
0 1 1
2 0 2
2 2 1
1 2 0
2 1 2
2 2 2
2 2 0
10 9
2 2 0
1 2 0
1 0 0
0 1 0
2 1 0
2 2 2
1 1 1
1 0 1
0 0 2
2 0 0
10 5
3 0 2
0 2 0
1 1 3
0 1 0
3 3 1
2 0 1
0 1 1
2 0 0
1 1 1
1 3 0
10 9
3 0 2
1 0 3
3 2 1
0 3 2
3 1 3
1 3 0
2 2 2
3 1 1
3 0 1
2 2 0
10 9
2 2 2
2 1 0
2 0 2
0 1 2
0 0 1
2 2 0
1 0 2
0 1 0
2 1 1
1 2 2
10 3
3 3 3
0 3 1
3 1 3
2 3 1
0 0 0
3 0 3
3 0 2
1 0 2
3 2 1
3 0 1
10 8
0 3 3
3 3 3
2 2 3
1 3 2
3 0 3
0 1 3
3 1 3
0 0 0
0 2 2
2 2 1
10 6
0 1 2
2 1 0
0 1 0
2 2 2
2 2 0
1 1 2
0 2 2
2 1 2
1 0 0
2 0 2
10 3
3 1 2
2 2 2
0 2 2
2 3 2
2 0 3
1 1 3
1 3 2
2 2 1
3 0 2
1 2 1
10 4
0 0 1
2 1 1
0 2 0
2 0 2
0 0 2
0 0 0
2 1 0
0 2 1
1 1 2
1 0 1
10 8
3 2 1
1 2 1
3 1 0
2 3 3
0 0 0
0 0 2
1 3 2
1 1 2
2 0 2
2 3 0
10 2
0 1 2
1 0 0
2 3 0
3 2 1
0 1 1
3 1 0
2 2 3
1 3 0
2 3 3
1 1 3
10 4
1 2 3
0 0 0
3 1 0
1 0 1
2 0 1
1 3 3
0 1 0
2 2 1
2 1 1
3 1 3
10 4
2 2 3
3 3 0
1 3 2
2 0 2
0 2 0
1 2 2
1 0 3
3 2 1
0 1 0
2 1 3
10 4
1 0 0
2 0 2
1 2 2
0 0 0
0 0 1
2 0 0
2 1 2
0 2 1
2 2 1
0 1 2
10 8
0 0 2
0 1 0
2 2 0
2 2 2
2 0 0
2 2 1
1 2 0
1 0 1
1 1 1
1 1 2
10 9
2 0 3
1 3 1
0 3 2
2 2 2
3 0 2
3 1 1
2 2 3
2 0 2
1 0 1
0 2 2
10 8
2 0 1
2 0 2
2 1 0
0 2 2
0 1 2
1 1 1
2 2 1
2 2 2
0 2 1
2 2 0
10 7
0 2 2
2 1 2
1 1 3
1 3 3
3 0 0
0 3 3
3 2 1
2 0 3
0 0 2
0 3 0
10 4
0 1 2
2 0 2
0 3 2
2 2 2
2 1 1
2 0 0
3 1 2
0 0 1
2 2 1
2 1 0
10 6
0 2 2
2 0 2
0 1 2
0 1 0
2 2 0
2 2 2
1 0 1
2 0 1
2 1 0
1 2 0
10 9
1 2 1
2 0 0
2 1 1
0 1 1
2 1 2
2 1 0
0 2 2
0 2 1
1 0 2
0 1 0
10 4
3 3 1
1 1 1
2 0 2
0 3 3
0 2 3
0 1 0
3 3 3
0 3 1
2 2 0
3 3 0
10 9
1 2 0
1 0 2
2 1 1
2 2 2
1 1 1
1 0 0
1 1 2
1 2 1
1 0 1
2 1 2
10 7
1 1 0
2 2 1
2 0 0
0 2 0
1 2 2
2 1 0
0 0 0
0 1 0
1 0 1
0 1 2
10 2
1 1 1
1 2 0
1 1 2
1 2 1
2 1 0
0 0 1
2 1 2
2 0 0
2 2 2
0 1 0
10 2
0 0 2
2 2 2
1 2 2
1 0 2
1 2 1
0 1 0
0 2 2
2 1 1
0 0 0
2 0 2
10 7
2 1 1
0 0 3
0 3 3
0 1 0
3 1 0
3 0 0
1 0 1
3 3 2
1 0 2
0 0 2
10 7
0 2 0
2 1 2
2 2 2
0 1 1
1 1 2
1 2 2
2 0 2
1 0 1
0 0 2
1 1 0
10 4
0 3 3
1 2 2
0 3 0
2 2 0
3 2 0
3 1 3
1 0 2
2 2 3
2 2 1
0 1 2
10 8
1 1 1
1 3 3
0 0 2
3 2 1
3 0 0
2 1 3
0 3 3
0 3 2
2 0 0
3 1 1
10 9
3 2 2
0 1 1
0 1 2
3 3 1
2 1 1
3 3 0
1 3 0
3 1 0
2 3 0
2 3 1
10 7
2 0 0
2 2 1
0 1 1
2 0 1
1 1 2
1 1 0
1 0 2
0 2 2
0 0 0
1 2 0
10 5
2 2 1
2 0 0
0 0 0
0 2 1
1 1 0
1 2 1
1 2 0
2 2 2
0 1 2
1 0 1
10 7
1 0 2
1 1 1
0 2 1
2 2 2
1 2 0
1 2 1
0 1 2
0 2 0
1 1 2
0 0 2
10 6
2 1 2
3 2 3
0 3 3
3 3 0
0 2 3
0 3 0
3 1 3
2 1 3
1 3 1
1 0 3
10 3
1 0 2
2 0 0
1 1 2
1 2 1
1 2 2
0 1 2
0 0 2
2 2 1
1 1 1
2 0 1
10 4
3 1 1
1 3 1
3 1 2
3 2 3
3 2 1
0 0 1
2 1 3
2 1 1
3 0 0
2 2 2
10 9
0 2 0
1 1 2
1 3 1
3 3 2
0 0 3
0 3 3
1 0 0
2 3 2
0 1 2
1 1 3
10 8
2 2 0
2 1 0
2 2 2
0 0 2
0 2 2
2 1 2
0 2 0
2 0 0
1 2 0
2 1 1
10 4
0 2 0
0 0 1
2 0 0
0 1 2
1 0 2
2 0 2
1 2 0
2 2 0
0 2 2
1 1 0
10 6
1 2 0
0 0 2
2 2 0
1 0 0
0 1 0
0 2 1
2 0 1
2 2 1
1 1 2
1 0 2
10 9
3 3 3
2 2 0
0 0 2
1 2 3
1 3 3
0 2 1
1 1 1
2 1 1
0 3 1
1 3 0
10 7
1 1 0
1 2 2
2 2 2
0 0 0
0 0 2
1 1 1
0 1 0
0 2 1
1 0 0
2 0 2
10 9
2 0 1
0 0 2
1 1 2
0 1 2
2 1 2
2 2 0
1 1 1
1 2 2
1 2 0
1 1 0
10 6
0 1 1
1 2 2
0 2 2
1 0 1
0 1 0
2 1 2
1 1 0
0 2 1
1 2 0
2 1 1
10 9
0 1 0
0 0 0
1 2 1
0 0 2
2 2 2
0 0 1
1 2 0
0 2 2
2 2 0
0 2 1
10 4
2 0 0
3 1 3
3 2 1
2 3 2
1 3 3
3 3 1
0 1 1
3 2 2
0 2 2
0 3 2
10 7
0 2 2
0 1 0
2 0 1
0 0 1
1 0 1
1 1 1
2 0 0
2 2 1
0 2 1
1 0 0
10 5
3 1 0
3 0 1
0 3 2
1 3 1
3 0 2
1 1 2
1 3 2
1 2 1
1 0 3
2 3 3
10 5
1 3 0
1 1 0
2 2 3
3 1 2
3 2 1
0 3 1
2 0 3
2 1 2
0 2 3
1 0 2
10 6
1 2 1
1 3 2
3 3 2
1 3 3
2 1 0
2 0 0
3 3 3
2 0 2
3 2 2
3 3 1
10 6
1 2 3
1 3 2
1 0 1
2 3 2
3 1 3
0 1 1
2 1 1
0 1 0
3 0 0
3 1 0
10 8
1 0 0
0 0 2
1 1 0
2 0 0
1 0 1
2 1 2
0 1 2
0 0 0
0 2 0
1 2 1
10 8
1 1 0
0 1 2
0 0 1
2 0 2
1 1 1
1 2 1
1 2 2
0 2 0
0 1 0
0 0 0
10 8
0 0 0
0 2 1
0 2 2
1 1 2
1 0 2
2 2 1
2 1 2
1 1 0
0 1 1
2 0 1
10 3
1 1 0
2 3 2
2 0 1
1 0 1
3 0 0
0 1 3
0 3 1
3 0 3
0 2 3
0 0 3
10 6
1 1 1
0 2 0
0 0 2
0 2 2
1 2 1
2 0 2
0 0 0
1 2 2
0 1 2
1 2 0
10 7
1 2 1
2 2 2
1 0 1
2 3 1
1 2 0
3 0 1
1 2 2
3 1 3
1 0 0
0 3 3
10 6
1 3 1
0 0 1
3 1 1
1 0 0
0 2 3
1 0 2
2 3 1
1 2 2
3 0 1
2 2 0
10 5
3 0 1
2 2 1
1 2 0
0 0 3
0 1 2
1 3 1
3 1 2
2 1 3
1 2 2
2 3 0
10 6
0 0 1
3 3 1
3 0 2
0 2 1
2 1 1
1 0 1
1 1 3
3 0 3
2 0 3
0 2 0
10 3
1 1 2
0 2 0
0 0 0
2 0 0
0 1 1
1 1 0
0 1 2
1 1 1
2 1 0
0 0 2
10 7
1 1 0
1 0 0
0 0 2
1 1 2
0 2 1
1 0 2
2 1 0
0 1 1
2 1 1
2 2 2
10 9
2 3 0
0 2 1
1 0 1
3 3 0
1 3 0
3 2 1
3 3 2
3 2 2
3 1 3
0 2 3
10 7
3 0 1
2 2 3
2 2 1
2 3 3
3 2 2
2 2 0
0 2 2
3 0 0
0 0 3
3 2 0
10 7
1 1 1
1 0 0
1 1 2
0 2 1
0 0 0
0 1 0
1 0 1
2 1 1
1 2 0
2 2 0
10 6
3 0 2
2 2 0
2 2 2
3 2 0
3 1 1
2 1 0
0 2 0
0 2 1
1 0 3
0 1 0
10 4
3 2 1
0 2 3
1 1 3
3 0 1
2 3 1
2 1 0
3 0 2
1 1 0
2 1 2
3 1 0
10 2
0 2 1
2 0 0
0 0 0
2 1 2
0 1 0
2 2 1
1 2 1
2 2 0
2 1 0
0 0 1
10 8
2 0 1
2 1 2
2 0 0
1 2 1
2 2 0
2 0 2
1 1 2
2 2 2
0 0 1
0 1 0
10 8
3 3 1
1 1 0
0 0 2
2 1 1
0 1 3
3 1 0
3 0 2
2 0 3
3 0 3
0 0 1
10 4
2 0 1
3 3 1
1 0 0
0 3 3
3 3 2
0 2 2
3 1 3
2 2 1
1 3 3
1 2 0
10 9
0 2 2
2 2 1
2 0 1
1 1 0
0 2 0
0 1 1
0 1 0
1 1 1
2 1 2
2 0 2
10 7
0 0 3
1 2 3
1 0 3
2 1 1
1 2 1
0 3 0
3 3 3
0 2 0
2 3 0
3 2 1
10 7
0 0 2
0 1 0
2 2 3
1 1 2
2 0 2
1 0 3
2 1 2
0 3 0
1 3 0
2 3 0
10 6
3 0 1
3 2 2
2 1 0
0 0 3
1 3 0
3 1 1
0 3 2
0 3 3
3 0 2
3 2 1
10 5
0 1 2
2 0 1
0 0 0
0 2 1
2 1 2
1 1 1
2 2 0
1 1 0
0 0 1
2 1 0
10 6
2 0 2
0 1 2
0 1 3
0 2 3
1 2 2
1 1 1
1 2 0
2 3 0
2 0 3
3 0 0
10 9
1 2 2
0 0 0
2 1 2
0 0 2
1 2 1
0 1 0
1 1 2
2 1 1
1 0 2
0 2 2
10 6
1 0 0
2 2 2
3 3 2
1 1 2
2 1 1
0 2 0
1 3 0
3 0 0
0 0 2
2 3 2
10 6
0 1 1
2 0 1
3 0 2
1 0 0
1 0 1
3 1 2
3 3 2
2 0 3
2 1 3
2 1 1
10 6
1 2 1
3 0 1
1 1 1
1 0 2
1 3 1
1 3 3
0 3 1
3 1 0
0 2 2
3 0 2
10 2
1 2 2
2 2 2
0 1 0
1 0 2
2 1 1
1 1 2
0 1 2
0 0 1
1 1 0
2 0 2
10 2
1 2 0
1 2 1
0 2 2
2 2 2
2 0 1
2 0 0
0 1 2
2 1 0
0 0 1
1 1 0
10 6
0 2 2
1 1 2
3 1 3
0 3 3
0 1 2
3 2 3
0 1 1
1 0 0
1 2 2
1 2 1
10 8
0 1 0
2 1 1
2 0 1
1 0 1
1 2 1
2 0 2
0 2 0
1 2 0
0 0 2
1 2 2
10 7
0 1 1
2 1 1
0 3 2
1 1 1
3 3 2
3 0 2
0 3 1
3 2 3
3 3 1
2 1 2
10 7
2 3 0
0 3 1
0 0 0
3 0 3
1 2 3
2 0 2
1 1 3
0 2 2
2 1 1
2 0 3
10 4
2 1 1
0 0 1
1 2 2
0 2 2
0 0 2
0 1 0
1 0 2
2 0 1
1 1 2
2 2 2
10 7
1 0 2
2 2 0
2 0 1
2 1 0
1 2 1
2 1 1
0 2 2
0 0 1
1 0 0
2 0 0
10 8
0 1 0
0 2 0
0 0 1
2 0 2
1 0 1
1 1 0
2 1 2
0 0 2
1 2 0
2 2 0
10 9
0 1 2
1 1 2
2 1 2
2 0 1
1 0 1
2 1 0
1 1 1
2 2 1
0 2 1
2 2 2
10 6
0 0 1
1 1 2
3 0 1
2 0 0
3 1 1
1 1 3
0 2 3
1 0 2
2 2 1
3 0 2
10 5
1 0 3
0 3 3
1 2 0
2 0 0
0 0 2
2 1 3
0 1 0
0 2 1
3 2 2
1 1 0
10 9
3 3 3
0 3 1
2 2 2
3 0 3
1 3 0
3 0 0
2 1 0
2 3 0
0 1 0
0 3 0
10 6
1 2 0
0 1 2
2 2 0
3 3 2
3 2 1
0 0 1
3 0 0
2 1 3
3 2 2
1 2 1
10 2
0 2 1
1 2 0
3 0 0
1 1 1
1 3 0
3 1 1
0 1 2
1 1 3
1 0 3
0 0 1
10 3
1 2 1
1 0 2
2 2 2
2 2 3
0 3 1
0 0 0
2 0 2
1 1 3
1 3 2
2 1 0
10 9
1 0 2
2 0 0
1 1 2
0 1 2
0 2 1
2 2 0
2 2 2
1 0 0
2 0 1
1 2 2
10 4
2 2 1
2 1 0
0 2 2
0 1 2
0 0 0
0 2 1
0 0 2
2 0 0
1 2 1
2 1 1
10 8
0 0 1
2 1 0
1 2 1
2 2 0
2 0 1
2 2 1
1 0 0
0 2 1
2 1 1
1 0 1
10 5
2 0 2
2 2 1
0 1 0
2 0 1
2 0 0
1 1 2
1 2 0
2 2 0
1 0 0
1 2 1
10 6
1 1 1
2 2 0
0 2 0
0 1 1
1 1 2
0 0 2
1 0 2
1 2 2
1 1 0
1 2 1
10 5
3 2 1
0 1 1
0 2 2
2 0 0
3 3 1
2 2 0
0 2 1
3 3 2
3 0 1
1 3 2
10 9
3 1 3
0 3 1
2 3 3
0 2 3
2 0 1
3 1 2
0 0 0
2 3 0
0 2 1
1 2 2
10 8
2 0 2
1 1 0
1 1 1
0 1 2
0 0 1
1 2 1
1 0 0
1 0 1
2 0 1
2 0 0
10 9
2 0 2
2 0 1
1 1 2
1 0 1
0 2 1
2 1 2
0 0 1
1 0 0
1 2 1
1 2 2
10 3
0 1 3
0 0 2
3 3 1
0 3 1
2 1 3
2 0 0
2 1 0
3 1 2
0 3 3
1 3 0
10 9
2 2 2
2 3 3
2 1 1
1 2 2
3 1 2
2 3 2
0 2 1
3 0 0
3 2 1
0 0 3
10 8
0 0 3
1 1 2
1 2 3
0 0 2
3 2 0
3 0 3
0 0 0
2 0 1
2 1 1
1 3 1
10 7
1 1 2
0 2 0
1 2 1
2 0 2
2 1 0
1 0 0
2 2 2
1 1 1
2 2 1
0 0 1
10 5
2 0 0
0 3 2
0 1 1
0 0 2
2 0 1
1 2 2
3 2 2
0 2 2
3 2 0
1 3 3
10 8
3 3 1
2 3 1
3 2 0
3 1 2
0 3 0
0 0 2
1 0 2
2 2 0
0 0 3
0 2 3
10 7
1 0 2
1 1 1
1 1 2
1 2 1
0 0 0
2 0 2
2 0 1
2 2 0
2 1 0
1 1 0
10 2
3 0 2
3 1 1
0 3 2
0 2 3
2 3 2
2 2 0
3 0 3
2 2 2
2 3 0
1 0 0
10 9
0 1 2
1 2 0
1 1 1
3 3 0
1 0 3
3 3 1
1 3 3
1 0 2
3 2 1
2 0 0
10 5
2 1 1
0 0 0
0 1 1
1 0 2
0 0 1
1 1 1
1 2 1
2 1 2
2 1 0
2 2 0
10 7
1 0 2
2 1 0
2 2 1
0 2 1
1 1 1
1 2 0
2 0 0
1 0 1
0 1 0
2 2 2
10 9
1 0 0
3 3 2
0 0 1
1 1 3
0 0 3
3 2 3
0 1 2
3 0 2
3 0 1
3 0 0
10 6
0 0 3
0 1 2
2 2 0
3 3 3
3 1 3
1 3 2
3 2 1
3 2 3
2 0 3
3 1 1
10 6
2 2 0
0 1 0
0 2 1
0 0 0
1 1 2
1 0 0
2 2 2
0 0 2
1 1 0
0 1 2
10 8
0 1 1
2 0 2
2 1 1
2 0 1
1 0 2
0 2 1
0 0 1
0 1 0
1 2 2
1 2 1
10 9
2 1 0
2 0 1
0 1 0
1 0 2
1 0 1
1 0 0
0 0 1
0 0 0
0 2 1
2 0 0
10 2
0 0 1
2 1 0
1 1 1
1 0 1
2 2 1
2 1 1
2 2 0
0 1 2
2 0 2
1 1 2
10 7
1 3 3
0 0 2
3 1 0
1 1 3
3 0 1
3 3 1
1 1 0
1 3 2
0 2 0
2 2 0
10 5
2 1 0
0 1 0
1 0 1
2 3 1
3 0 2
1 3 3
3 3 2
3 3 1
2 3 2
0 2 0
10 3
1 2 2
1 0 2
0 1 0
0 0 2
0 2 1
0 1 1
2 2 0
1 0 0
0 2 0
0 2 2
10 8
0 2 1
0 0 1
2 2 0
1 0 1
0 1 0
2 0 0
1 0 0
2 0 2
1 2 2
0 2 0
10 4
2 0 2
0 0 0
1 2 2
0 2 2
1 2 1
1 1 2
1 0 0
2 1 1
0 1 2
2 1 2
10 5
3 0 3
0 2 0
0 2 2
3 3 0
2 1 2
3 2 0
1 1 3
0 0 2
0 3 3
3 2 1
10 2
1 0 2
3 1 2
0 2 3
2 1 1
2 3 0
2 0 0
2 3 2
3 1 3
1 2 3
3 3 3
10 9
0 2 2
1 0 2
2 2 2
2 0 1
1 0 0
1 2 0
1 2 1
1 0 1
2 1 1
0 1 1
10 4
0 0 0
0 2 2
0 1 2
0 1 0
2 1 2
0 2 0
1 0 1
1 2 2
0 0 2
2 1 0
10 9
0 0 1
3 1 2
2 2 0
0 2 2
3 3 2
3 3 3
2 3 0
1 3 1
3 3 1
1 0 2
10 6
3 2 1
0 0 0
3 2 0
0 0 2
3 2 3
0 3 1
2 1 3
1 1 2
1 1 0
3 1 1
10 5
0 1 2
2 3 1
3 0 0
2 0 2
1 2 2
1 2 1
3 2 0
1 1 3
2 1 0
2 0 0
10 5
2 1 2
2 3 3
2 2 2
2 0 1
3 0 1
1 1 3
1 3 3
3 2 3
3 3 0
3 1 3
10 6
2 2 1
0 0 1
0 1 1
1 1 2
2 0 2
2 1 2
0 0 0
1 1 1
2 1 0
0 1 2
10 4
0 0 1
0 2 1
2 0 2
1 2 0
2 1 2
2 1 0
2 1 1
1 2 2
2 0 0
0 0 2
10 4
1 0 0
0 1 2
0 2 0
1 1 1
1 2 2
2 2 1
0 0 2
2 0 1
0 2 1
2 1 0
10 5
2 1 1
2 0 1
0 0 1
0 2 2
3 3 0
1 1 1
3 3 2
2 0 2
1 0 2
1 1 0
10 7
1 1 0
1 0 2
2 0 2
2 1 1
2 2 0
0 2 0
2 0 1
1 2 0
2 2 2
1 1 1
10 6
2 1 3
0 3 3
2 2 2
1 3 2
1 1 3
3 0 3
2 1 0
2 2 1
3 3 2
1 1 2
10 6
3 3 0
1 1 3
0 0 0
3 2 3
1 1 0
1 0 1
3 2 1
2 2 1
2 1 2
1 2 1
10 5
0 1 2
1 0 0
0 1 1
1 2 0
1 0 1
2 1 2
0 0 0
2 0 1
1 2 2
2 0 0
10 2
2 0 0
3 1 2
0 0 1
2 3 3
3 3 2
1 1 1
1 1 2
3 3 0
1 3 1
2 2 2
10 7
3 0 0
3 1 0
0 1 0
2 3 2
0 2 1
3 2 3
2 1 3
1 2 1
1 3 3
0 0 1
10 2
0 2 0
0 1 0
1 1 0
1 0 0
1 0 1
1 2 1
2 2 0
0 0 2
2 0 0
0 0 0
10 9
2 0 1
1 0 2
0 2 2
1 2 1
1 0 0
0 0 0
2 2 2
2 2 1
0 0 1
2 0 2
10 4
1 0 2
2 1 2
0 2 1
2 2 0
2 0 1
1 2 2
0 1 0
1 2 0
0 2 0
1 1 0
10 9
1 1 2
2 1 2
2 0 0
2 0 1
0 0 0
1 0 2
0 1 1
1 1 0
1 2 0
0 0 2
10 9
1 1 1
1 0 0
0 1 0
0 2 1
2 0 1
1 2 0
1 0 1
0 1 1
0 0 1
2 1 2
10 6
1 0 1
0 0 0
2 2 2
1 2 2
0 1 0
1 0 0
1 1 1
1 1 2
1 0 2
0 0 2
10 2
3 2 3
0 1 2
0 1 0
1 1 2
2 3 2
1 2 1
2 3 1
2 0 2
2 2 1
1 1 3
10 4
1 3 3
2 3 1
3 1 1
1 2 3
2 0 3
3 2 2
2 1 3
1 1 2
2 0 1
0 1 3
10 7
1 1 2
3 2 0
3 1 3
0 1 2
3 0 1
0 3 1
0 1 0
3 2 3
1 1 3
3 1 2
10 4
2 0 2
1 0 0
1 0 2
2 2 1
0 2 0
0 1 0
0 2 2
2 0 1
0 1 2
0 0 0
10 3
3 2 1
3 3 2
2 3 1
0 2 1
1 2 0
0 0 3
3 3 0
2 2 2
0 0 2
0 1 2
10 6
2 1 2
1 2 2
2 1 1
0 2 2
1 0 2
0 1 1
1 2 1
1 2 0
1 1 1
2 2 2
10 9
1 0 1
0 2 1
1 0 2
1 2 1
0 1 1
2 2 1
2 0 2
0 0 1
2 1 1
2 2 2
10 4
1 3 2
3 3 0
2 1 3
2 0 0
2 3 3
3 1 3
1 1 0
0 2 2
3 1 2
3 0 1
10 5
2 1 3
3 3 3
3 0 3
1 1 2
0 1 3
3 1 0
0 1 1
2 0 0
2 2 2
3 3 0
10 8
2 0 1
3 1 2
0 3 2
1 1 0
0 2 0
1 2 0
3 3 3
0 1 0
3 1 3
3 3 2
10 6
0 0 2
0 0 0
0 0 1
0 2 0
1 1 2
0 1 0
0 2 2
1 0 2
1 0 1
2 2 0
10 8
2 0 2
1 2 0
1 0 0
1 0 2
2 2 0
2 0 0
1 1 2
1 0 1
0 0 1
0 1 2
10 3
1 2 2
0 3 0
1 3 1
3 1 3
0 1 2
1 3 3
0 2 1
3 0 0
0 3 1
2 3 0
10 9
0 0 2
2 2 2
1 2 1
2 2 1
1 0 0
1 0 1
0 1 0
0 2 0
2 1 1
0 1 1
10 4
1 2 0
0 1 2
2 0 2
0 2 1
1 1 2
1 0 2
0 0 1
2 2 1
1 2 2
0 0 2
10 8
3 3 2
1 0 0
2 2 3
1 0 3
3 2 0
3 2 2
2 3 3
2 0 3
1 2 3
3 3 3
10 4
2 1 1
0 0 1
2 2 2
1 1 0
0 2 1
1 0 2
0 1 0
2 0 2
1 1 1
0 2 0
10 8
0 0 0
0 1 0
1 1 0
0 0 1
2 2 1
2 1 2
0 1 2
0 0 2
2 0 2
1 0 2
10 7
2 2 1
0 0 2
0 2 0
1 1 2
1 2 2
0 2 2
1 0 1
1 0 2
2 2 0
2 0 0
10 7
3 2 0
1 3 1
0 2 3
2 1 0
1 1 3
1 1 0
1 2 3
2 1 3
1 0 1
3 0 3
10 5
0 2 1
0 2 2
1 2 0
2 1 0
1 2 1
2 2 2
2 2 1
0 1 0
2 0 2
0 1 2
10 2
0 0 1
2 1 0
2 1 2
0 2 2
1 1 2
2 2 1
2 0 2
2 0 0
2 1 1
1 1 0
10 3
0 0 0
2 1 0
1 0 2
0 1 2
2 0 2
1 1 1
2 1 1
2 0 1
0 2 2
2 1 2
10 8
2 0 0
0 1 2
2 0 1
2 1 1
1 2 2
1 1 2
0 0 0
1 0 2
1 1 0
2 1 2
10 5
3 2 2
2 0 3
2 0 0
3 3 2
1 1 3
1 0 3
0 1 0
1 2 2
2 0 1
0 2 0
10 8
2 2 1
1 0 0
2 2 2
1 2 0
0 0 0
2 1 2
1 0 2
0 2 0
1 0 1
1 2 1
10 7
2 2 1
2 3 0
1 0 3
3 0 0
1 3 0
3 0 2
1 2 3
0 1 0
3 3 0
2 0 0
10 2
0 2 1
2 2 1
1 2 0
0 1 1
1 0 1
2 1 0
1 1 2
2 0 1
1 0 2
2 2 0
10 5
1 2 0
0 0 0
0 1 2
2 0 1
2 2 0
2 1 1
2 0 2
1 1 2
0 0 1
0 1 1
10 3
0 0 0
1 0 2
3 3 0
0 3 2
0 3 0
2 2 3
3 1 2
2 0 1
2 1 2
2 2 2
10 9
2 0 0
1 1 1
0 0 1
2 2 2
2 1 2
1 2 2
0 0 0
2 0 1
0 2 1
2 1 0
10 2
1 2 1
0 2 3
0 0 2
3 1 1
1 0 2
1 3 0
3 3 3
0 1 0
0 3 2
3 2 2
10 8
0 0 0
2 1 1
0 1 0
2 0 1
2 0 2
0 2 0
0 0 2
0 1 2
1 0 2
2 0 0
10 2
2 2 2
0 1 0
2 0 0
0 2 1
0 1 2
2 1 1
2 2 1
1 0 2
0 2 2
0 0 0
10 9
2 1 1
3 0 2
1 0 1
0 3 1
3 2 0
3 3 1
0 3 2
3 3 3
0 3 3
3 0 1
10 2
2 0 2
0 1 0
1 0 0
0 3 3
3 1 1
1 3 2
3 2 1
0 3 0
0 0 1
2 1 2
10 5
3 1 3
0 2 0
3 3 1
2 1 3
2 0 3
3 1 2
1 3 1
3 1 1
0 1 0
2 3 2
10 8
2 2 1
2 3 1
3 2 2
0 3 1
1 0 0
0 0 2
2 1 3
1 2 1
2 3 0
2 2 0
10 4
2 3 2
0 0 0
2 0 3
1 2 0
3 0 2
3 2 3
1 2 2
3 3 1
0 2 0
3 1 0
10 8
2 1 1
1 0 1
1 2 1
0 0 0
2 0 0
1 1 0
2 2 0
2 1 2
1 0 2
0 2 0
10 7
2 1 2
3 0 2
2 0 0
2 2 1
2 2 3
0 3 2
0 0 2
3 1 2
0 0 3
1 2 0
10 4
2 2 0
0 2 0
2 1 1
1 2 0
0 2 2
2 1 0
1 1 2
1 1 1
1 0 2
0 1 2
10 6
2 2 0
2 0 0
2 1 0
0 2 0
1 2 1
1 0 0
0 1 2
1 0 1
2 1 2
0 1 1
10 5
2 1 0
0 1 2
2 1 2
0 2 2
0 2 1
1 1 2
1 0 2
2 0 0
2 0 1
0 0 0
10 2
3 1 2
2 3 2
3 3 0
1 0 0
0 0 3
0 2 2
1 1 1
1 3 3
2 3 3
2 2 2
10 7
2 2 2
3 2 3
0 0 2
3 2 1
2 3 0
3 1 0
2 0 3
0 3 0
0 2 0
2 2 1
10 6
1 0 0
0 1 2
0 2 2
1 0 2
2 2 2
2 0 0
2 1 2
1 0 1
0 1 0
2 0 2
10 8
3 3 3
3 2 0
0 2 2
2 3 2
1 3 0
3 0 1
2 1 1
0 2 1
2 0 3
1 2 3
10 8
0 1 3
1 3 3
1 0 3
1 3 2
2 3 2
0 3 3
0 1 2
0 0 2
2 0 1
1 1 3
10 4
2 2 2
1 2 0
0 0 2
0 2 0
2 2 1
1 1 0
0 0 1
0 1 2
1 2 2
0 2 2
10 4
0 3 3
1 2 2
1 3 0
1 0 0
0 2 2
3 2 2
1 3 2
1 2 0
0 0 0
0 1 0
10 2
2 1 2
2 2 2
1 1 0
0 1 2
2 0 2
2 2 0
1 2 2
0 1 0
2 0 0
0 2 0
10 7
0 1 3
0 3 2
3 3 1
2 1 1
1 1 2
2 3 2
3 0 2
1 1 3
3 2 1
3 0 1
10 5
3 2 0
3 0 2
1 2 0
3 0 3
3 3 1
0 3 3
0 1 0
3 1 3
3 1 1
0 1 3
10 4
1 0 1
1 3 1
2 1 2
0 2 2
3 3 1
0 3 0
1 3 2
1 0 3
2 3 2
2 0 2
10 2
1 1 1
0 2 1
2 2 2
1 0 2
1 2 1
2 1 1
2 1 2
2 0 2
2 2 1
2 0 1
10 3
2 0 0
2 2 1
1 1 1
1 0 0
1 1 0
1 2 0
2 0 1
0 1 2
1 1 2
1 0 1
10 3
1 2 0
0 1 0
3 3 3
0 0 2
0 3 2
0 1 1
1 3 1
2 2 2
2 1 0
1 1 1
10 7
2 0 0
0 0 2
3 2 0
1 1 1
0 2 2
2 0 3
3 2 1
1 2 2
1 2 3
0 0 1
10 5
3 1 2
0 1 3
0 2 2
3 1 0
3 3 2
2 3 2
0 3 1
1 1 3
0 1 1
1 3 0
10 2
2 2 2
1 2 2
1 0 2
2 1 0
0 0 0
0 0 1
2 0 2
1 2 0
1 1 1
0 2 1
10 5
2 0 1
3 2 1
0 0 1
2 0 0
2 1 2
0 3 1
3 2 0
3 1 1
2 0 2
1 2 3
10 3
2 0 2
1 3 3
2 0 1
2 0 0
1 2 1
3 0 1
0 2 3
2 0 3
3 0 3
0 3 1
10 7
0 2 0
2 1 2
0 0 0
0 1 2
2 2 2
1 1 0
1 2 1
1 0 0
1 1 1
1 1 2
10 7
1 2 0
1 0 2
1 2 1
0 1 0
0 2 0
1 1 1
0 1 1
2 0 2
2 2 2
2 1 2
10 4
1 1 2
1 1 0
0 1 2
2 0 2
2 1 2
2 0 1
0 0 1
2 2 1
1 0 1
1 1 1
10 5
2 0 1
2 0 0
2 3 3
3 1 3
2 2 2
0 0 1
3 2 3
0 3 3
1 3 1
3 0 0
10 2
0 0 2
1 2 2
2 2 2
2 2 0
1 0 1
0 1 1
1 1 0
1 1 1
0 1 0
2 0 2
10 9
2 0 3
2 2 2
3 2 2
3 2 3
2 1 3
3 0 0
1 0 3
2 0 2
3 1 3
0 1 1
10 4
0 0 2
0 1 2
0 2 2
2 1 2
1 1 2
1 1 1
2 0 2
2 1 0
0 0 0
2 1 1
10 6
2 1 2
0 3 1
3 2 2
2 2 0
0 2 0
2 2 2
1 3 3
0 2 1
1 3 1
0 3 2
10 2
1 1 3
3 2 2
1 2 3
2 0 3
2 2 1
0 3 2
3 1 3
1 0 2
1 0 1
2 3 0
10 9
3 3 3
3 0 0
1 0 2
2 0 1
3 1 0
0 2 2
2 3 1
3 0 3
0 2 0
1 0 3
10 8
0 0 3
3 2 0
1 2 3
3 2 3
0 3 2
1 1 0
1 3 0
1 1 2
1 0 3
0 2 0
10 5
0 0 2
3 2 2
2 2 0
2 3 1
1 0 3
1 0 1
1 3 2
0 1 2
3 2 0
3 2 3
10 5
1 0 2
1 2 0
2 1 1
2 0 2
2 1 2
2 2 1
0 2 1
2 0 1
1 1 1
0 0 2
10 6
1 0 1
3 3 2
0 1 0
2 0 0
2 3 1
0 2 3
2 0 1
3 1 0
0 3 2
2 1 1
10 6
0 0 0
1 2 0
0 0 2
1 0 2
0 1 0
0 2 0
1 2 1
0 1 2
2 0 0
2 1 0
10 8
3 3 1
0 2 2
2 1 0
0 0 0
0 0 3
1 3 1
3 2 3
1 1 3
1 1 0
3 0 1
10 3
2 1 2
1 2 2
2 1 1
0 2 0
0 2 2
1 2 1
1 1 0
1 1 2
0 1 0
0 1 1
10 4
2 1 2
2 0 1
2 0 3
1 3 1
0 1 2
3 0 2
2 3 1
3 2 3
0 3 1
1 0 0
10 7
2 2 0
2 2 1
0 2 1
1 2 1
0 0 2
2 2 2
0 0 1
1 1 0
0 1 2
2 0 2
10 5
1 2 2
2 1 2
2 2 1
2 2 2
2 0 2
1 0 0
1 0 1
2 0 1
0 1 2
2 0 0
10 9
1 1 1
2 2 1
2 2 0
0 1 1
2 2 2
1 0 2
1 2 0
2 0 0
0 1 2
0 0 0
10 5
2 1 2
2 1 1
0 2 0
1 2 2
2 0 2
0 0 2
2 0 1
0 0 0
1 1 1
1 1 0
10 7
2 2 2
0 0 1
3 2 3
1 2 1
2 3 2
1 0 3
1 1 2
2 0 1
1 0 2
0 1 1
10 4
0 2 1
0 0 1
0 2 0
1 0 1
1 2 2
2 1 2
1 1 0
1 0 0
0 0 2
2 0 1
10 3
1 0 1
0 2 2
2 0 2
0 0 0
0 1 1
1 0 2
0 1 2
0 0 1
2 2 0
1 2 2
10 5
1 0 3
3 1 1
0 2 2
0 2 1
1 3 0
1 1 0
2 0 3
0 1 0
0 3 3
3 0 3
10 2
0 2 2
1 3 1
1 3 0
2 0 3
1 0 1
1 0 2
0 2 3
2 1 1
3 2 3
0 1 1
10 4
2 0 3
1 0 2
0 1 0
3 0 3
2 1 3
2 1 2
0 0 0
0 3 3
0 3 2
1 1 3
10 3
3 3 2
1 0 1
3 1 0
2 1 1
0 1 1
2 3 1
1 1 2
3 1 3
3 1 1
3 2 3
10 8
2 2 1
0 0 2
2 0 3
0 0 3
3 0 0
3 3 2
0 3 0
2 1 3
0 1 1
2 0 2
10 8
1 1 1
1 2 2
0 2 0
1 2 1
2 1 0
0 2 2
2 2 1
0 2 1
2 0 0
0 0 2
10 6
0 2 0
2 1 3
2 3 1
1 2 1
1 1 2
0 1 2
2 0 1
3 2 2
3 2 3
1 0 0
10 4
0 2 1
1 0 1
0 0 0
3 0 0
2 0 3
3 3 1
3 3 2
0 1 2
1 2 0
1 3 0
10 3
2 0 3
2 0 1
3 1 1
2 2 2
2 3 2
1 3 1
2 3 1
2 0 0
0 0 3
3 0 1
10 6
1 0 2
1 1 2
0 2 0
1 1 1
2 0 2
1 0 1
2 0 0
1 1 0
2 0 1
1 2 2
10 8
1 2 2
1 0 2
0 2 0
0 2 1
0 1 2
1 0 0
0 1 0
0 0 0
2 1 2
1 2 0
10 8
2 3 2
0 3 3
0 1 3
3 2 1
1 1 1
2 2 3
3 1 2
2 0 2
3 2 2
2 1 1
10 6
2 1 2
2 0 3
3 2 1
0 0 1
3 3 2
1 2 0
0 3 0
1 3 3
1 0 1
3 0 3
10 7
2 0 0
1 1 0
2 0 2
2 2 2
0 1 0
2 1 2
1 2 1
1 2 2
1 1 1
0 0 0
10 5
0 1 1
0 2 0
0 2 2
1 2 1
0 0 0
1 0 0
1 1 1
2 2 0
1 2 0
1 1 2
10 7
0 0 1
0 2 0
0 1 1
1 0 1
3 3 3
1 3 0
2 3 3
3 1 1
0 2 2
1 3 2
10 9
2 1 2
1 2 1
1 1 1
2 2 2
1 1 2
2 1 1
1 2 0
0 0 1
0 0 2
2 2 1
10 4
0 0 0
2 0 0
2 2 1
0 1 2
2 0 1
1 2 2
1 2 0
0 2 2
0 2 0
2 2 0
10 7
2 1 3
2 3 1
1 2 0
3 2 3
3 1 0
1 3 3
1 1 0
0 2 3
3 1 1
2 2 2
10 6
3 2 3
2 3 3
0 1 0
2 3 0
1 1 1
2 1 2
0 2 3
1 3 1
2 2 2
0 3 1
10 6
0 3 2
2 0 0
1 0 0
2 0 2
2 0 3
0 2 1
1 1 0
0 3 1
0 2 2
2 2 2
10 4
3 2 1
0 2 0
1 2 0
1 2 2
3 3 3
2 3 3
2 0 3
3 1 1
1 2 1
3 1 2
10 8
1 0 2
2 0 3
3 1 1
0 0 1
2 3 1
1 2 1
1 3 3
3 2 2
0 2 2
3 2 0
10 5
3 0 1
2 0 0
1 2 0
2 3 1
0 3 2
2 3 0
0 1 0
2 2 0
3 3 2
0 0 2
10 6
0 2 0
2 2 2
0 2 1
0 2 2
1 0 1
2 1 1
1 1 2
0 1 1
0 1 2
2 0 2
10 3
0 1 1
2 0 3
1 1 3
1 1 1
1 1 0
0 0 3
3 1 3
3 1 0
0 2 3
2 1 0
10 8
0 0 0
2 2 0
2 0 1
0 0 1
1 2 2
2 2 2
0 0 2
2 1 2
0 2 2
1 1 0
10 8
1 1 0
2 0 0
1 1 1
2 0 2
0 1 0
0 0 1
1 2 1
0 2 1
0 0 2
2 1 2
10 4
2 2 0
2 0 2
2 2 2
0 1 2
1 1 0
2 1 2
2 1 1
2 2 3
1 3 0
0 0 2
10 3
1 0 0
0 0 0
2 1 1
1 2 1
0 2 0
0 1 0
1 2 0
2 1 0
1 0 2
1 1 0
10 6
3 1 0
3 1 2
0 1 3
2 3 3
0 2 0
1 1 1
2 1 3
2 2 2
2 2 0
0 1 2
10 3
3 1 3
1 1 0
1 0 3
1 0 1
2 3 0
2 0 0
3 1 1
0 2 1
1 0 2
3 2 2
10 9
0 1 2
2 0 2
1 1 1
1 1 2
1 2 2
1 0 2
0 1 0
2 2 2
0 1 1
0 2 2
10 7
0 1 1
2 1 2
2 2 0
2 2 1
0 0 2
2 0 0
0 2 1
1 2 0
0 1 0
1 0 1
10 6
2 1 1
2 0 1
1 0 2
1 2 2
1 1 1
1 1 2
0 0 1
2 0 0
0 1 0
2 2 0
10 9
1 1 2
2 1 2
2 0 1
1 2 1
1 0 1
2 2 2
1 0 0
1 0 2
1 2 2
0 2 0
10 7
0 2 1
3 3 1
1 1 2
2 2 2
2 2 1
2 2 0
0 1 0
0 3 3
0 1 3
2 3 0
10 2
1 2 1
1 0 1
0 0 2
2 1 1
0 2 1
2 1 2
0 1 0
1 1 1
2 1 0
0 2 0
10 8
1 0 0
1 2 1
1 1 2
0 2 2
0 2 1
2 1 2
0 1 0
2 0 2
1 0 1
0 0 1
10 5
2 1 0
1 1 1
1 2 2
0 1 0
3 3 0
0 3 1
0 0 1
3 0 0
2 0 2
0 3 0
10 4
3 1 2
2 0 3
2 2 1
3 0 3
0 1 3
3 3 3
3 1 1
1 3 2
1 0 3
3 3 0
10 4
2 1 1
0 2 0
2 2 0
0 0 0
2 1 2
1 1 2
0 1 0
0 0 2
0 2 1
0 1 1
10 3
2 2 0
1 2 2
0 1 1
1 0 1
2 0 0
0 1 2
2 1 2
1 1 0
0 1 0
2 1 1
10 5
1 2 0
0 2 1
0 2 2
0 1 1
2 1 0
0 1 0
1 2 1
0 0 0
2 2 1
0 1 2
10 5
0 1 2
0 1 1
2 0 1
2 2 0
1 2 0
1 2 2
2 0 2
0 0 1
1 0 2
1 1 0
10 7
2 1 1
0 0 1
2 1 2
2 2 2
2 0 1
1 1 2
1 0 1
0 0 2
1 0 0
0 1 2
10 3
0 0 2
2 0 2
2 1 2
0 2 0
1 1 2
1 2 1
2 2 2
0 2 1
2 1 0
0 1 2
10 8
0 1 2
1 2 3
0 1 3
0 2 1
0 1 1
0 0 3
0 2 2
0 3 1
1 2 1
1 3 3
10 3
1 1 1
0 2 2
1 0 1
2 2 1
2 2 0
2 1 0
2 2 2
2 0 0
2 1 1
0 2 1
10 8
2 1 1
1 1 2
2 0 1
1 1 1
0 1 0
2 0 0
2 0 2
2 2 2
0 1 1
1 2 2
10 7
2 1 1
2 2 3
3 1 3
0 2 0
1 3 3
1 2 0
1 0 3
3 3 0
0 0 0
0 0 2
10 6
1 0 2
0 1 2
1 0 1
2 0 0
2 1 0
1 1 0
1 2 1
0 1 0
1 2 2
1 0 0
10 7
1 1 3
1 0 1
0 2 1
2 2 1
3 3 1
2 3 0
1 0 3
0 0 2
0 3 2
3 0 1
10 2
0 1 0
0 0 2
1 1 1
0 1 2
1 1 0
1 0 1
0 2 1
2 2 2
0 2 0
1 0 2
10 5
1 2 1
0 1 2
0 0 0
2 0 0
0 0 1
1 0 1
0 2 2
0 2 0
1 0 0
1 1 0
10 8
1 0 1
0 0 1
0 1 2
0 2 2
1 0 0
1 2 1
0 2 1
1 1 0
0 1 1
2 2 1
10 8
2 1 0
2 3 1
2 2 1
1 0 1
0 3 2
0 3 0
2 3 3
2 2 0
1 3 2
3 3 0
10 7
1 0 0
1 1 2
0 1 0
2 2 1
2 0 1
2 0 0
0 0 0
1 2 0
1 1 1
2 1 0
10 3
1 0 0
3 0 2
0 0 0
0 1 1
1 2 2
2 1 3
1 1 2
3 3 2
0 2 3
0 3 1
10 9
3 0 0
0 1 2
0 3 0
1 0 0
2 1 2
3 3 1
1 1 1
2 3 0
1 3 1
2 3 2
10 2
0 3 0
3 2 2
0 0 0
1 3 2
1 1 2
3 3 3
2 2 0
0 3 1
1 3 3
0 1 3
10 9
0 0 0
0 3 2
2 1 2
3 3 1
2 0 3
1 1 0
1 2 2
1 1 2
2 1 3
3 0 2
10 8
1 3 3
1 3 2
3 0 2
2 2 1
3 3 0
2 2 2
0 2 1
0 1 0
1 0 0
3 2 2
10 8
0 1 0
2 0 1
1 1 0
0 0 1
0 0 0
2 1 2
1 0 2
0 2 2
1 2 2
2 2 1
10 6
3 2 3
3 3 1
1 1 3
0 0 3
0 1 0
2 2 1
1 2 1
1 2 0
0 2 0
0 1 2
10 8
2 1 0
0 1 1
2 1 1
2 2 1
2 0 0
0 1 2
0 1 0
1 1 1
0 0 1
1 0 1
10 7
0 2 2
1 2 2
0 0 1
2 1 0
2 2 2
2 1 1
0 0 2
0 2 0
1 1 0
2 0 1
10 9
1 2 0
0 1 1
2 2 1
0 0 2
2 0 2
0 0 1
1 2 1
2 1 0
1 0 0
1 0 2
10 7
1 1 2
0 1 0
1 2 1
2 2 1
1 0 0
0 2 2
2 0 2
2 0 0
1 2 0
0 1 1
10 2
1 2 1
0 2 1
1 2 2
1 0 0
2 0 1
2 2 2
2 1 1
2 0 2
0 2 2
2 1 2
10 2
0 2 1
0 0 0
0 1 2
1 1 2
1 1 1
1 2 1
0 0 1
0 0 2
1 0 1
0 2 2
10 9
0 0 1
2 1 1
0 0 2
2 2 0
0 2 0
0 0 0
1 1 2
2 2 2
2 2 1
2 1 2
10 7
1 2 1
0 0 2
0 2 2
0 0 1
2 0 2
0 1 1
2 1 2
2 2 0
1 1 1
0 1 0
10 3
1 2 1
2 0 1
2 1 0
0 3 0
2 3 2
0 2 1
2 3 1
1 1 2
3 1 0
0 2 3
10 8
3 1 3
1 1 0
3 2 1
2 1 3
1 3 2
1 2 3
0 0 0
0 1 2
0 3 3
2 3 3
10 9
2 3 1
0 3 2
3 0 0
1 3 0
3 1 3
0 1 2
2 3 2
3 2 3
0 3 1
2 0 0
10 6
2 0 3
2 1 1
0 3 2
2 1 0
2 2 0
3 0 3
3 2 3
2 3 0
1 1 3
1 2 2
10 4
3 1 2
1 0 2
0 3 2
1 1 3
2 2 3
1 1 1
0 3 3
3 1 0
0 0 3
2 3 3
10 6
0 1 1
1 1 0
1 2 2
0 0 2
0 0 1
2 1 0
2 0 2
1 0 2
2 1 1
0 1 0
10 3
3 0 0
2 0 2
0 3 2
1 1 2
1 0 2
2 1 3
1 2 0
1 3 1
0 3 3
2 2 1
10 3
1 0 1
0 2 0
1 2 2
2 0 2
2 1 0
0 1 1
0 2 2
1 2 1
0 1 0
2 1 2
10 5
0 1 0
1 1 2
0 1 2
1 0 0
0 2 2
2 2 0
2 1 1
0 0 2
2 0 0
2 1 2
10 6
0 1 2
2 2 0
1 1 0
0 0 1
0 2 1
2 0 1
2 1 2
1 2 1
0 1 0
2 2 1
10 6
2 0 0
1 2 3
0 1 0
3 1 0
1 0 3
2 0 2
3 3 3
3 1 1
3 3 2
1 0 1
10 5
1 2 1
0 1 1
0 1 2
2 2 0
2 1 2
2 0 0
1 2 0
0 2 0
1 0 1
0 0 1
10 2
2 0 0
3 0 0
3 0 2
0 3 1
2 3 0
3 3 0
0 1 0
2 0 2
0 3 3
3 3 2
10 3
0 0 2
0 1 1
2 0 1
2 1 0
2 2 2
2 2 1
2 0 2
1 1 1
1 1 0
1 2 2
10 4
0 3 3
2 2 3
2 2 1
3 2 1
0 0 3
3 0 3
2 3 3
1 3 0
0 0 1
3 3 1
10 5
1 3 0
1 2 1
2 1 1
3 1 2
3 2 3
0 0 1
0 0 2
3 3 1
3 3 3
1 3 1
10 7
0 0 3
1 1 2
2 3 2
3 3 1
2 3 1
3 3 3
1 2 2
2 2 0
0 3 2
0 2 0
10 4
0 1 1
0 0 1
1 0 1
1 1 1
1 2 1
2 0 2
0 0 2
2 1 0
0 1 0
0 2 2
10 7
1 2 1
2 0 1
0 2 0
0 2 1
1 0 1
1 2 0
0 0 2
2 1 0
0 1 1
0 0 0
10 6
0 3 1
2 2 2
3 1 3
0 1 3
1 1 0
3 2 1
2 1 3
3 0 2
1 3 3
2 0 1
10 3
1 1 1
1 1 2
2 2 2
0 0 0
2 2 0
2 1 0
1 0 2
2 2 1
1 2 0
0 0 2
10 9
0 3 2
1 3 3
2 0 1
0 2 3
1 1 0
3 1 0
3 3 1
3 0 2
0 0 2
2 2 1
10 9
3 3 3
3 0 1
2 0 3
3 1 3
3 2 3
1 3 1
1 3 0
0 3 2
0 0 0
2 1 1
10 6
0 2 2
2 3 2
0 2 1
2 2 1
3 2 1
2 1 2
1 3 0
1 2 0
1 1 1
1 0 2
10 6
1 2 1
0 1 1
1 2 2
1 0 0
2 0 0
2 1 1
0 0 2
2 2 2
2 0 1
1 1 0
10 3
1 2 0
1 3 2
2 1 1
2 1 2
1 0 1
0 3 2
0 0 1
2 3 0
1 3 1
1 3 0
10 6
2 0 0
2 1 1
2 3 2
0 2 0
1 1 0
3 1 3
2 3 3
3 0 3
0 0 0
0 3 3
10 8
2 3 3
2 0 0
3 3 1
3 0 1
2 0 3
0 2 1
2 3 2
3 2 2
3 3 2
0 1 3
10 3
3 0 0
3 2 1
1 1 0
0 0 1
3 0 2
1 1 3
3 2 2
2 2 0
0 0 0
1 0 3
10 6
2 2 1
0 1 1
2 0 2
2 1 0
0 1 0
1 0 1
2 0 1
0 1 2
0 2 0
2 1 1
10 8
1 2 1
1 0 1
0 0 2
1 1 0
2 2 0
0 2 0
2 2 2
2 0 2
0 2 2
2 0 1
10 5
1 2 3
2 3 3
2 1 2
0 0 3
3 3 0
3 3 3
2 1 0
2 3 0
1 0 3
1 1 0
10 3
2 2 0
1 2 1
1 0 2
1 0 1
1 2 2
0 1 1
0 1 0
0 1 2
0 2 0
0 0 2
10 4
1 1 1
3 0 1
0 0 2
2 1 3
0 1 0
0 2 1
2 0 1
2 2 2
0 3 3
1 3 1
10 6
1 1 0
2 2 0
1 0 0
2 1 2
1 0 1
0 0 1
2 2 1
0 2 2
2 1 1
2 1 0
10 3
0 3 3
2 1 3
2 2 1
2 2 0
2 3 2
0 2 2
1 2 1
2 0 1
3 2 1
2 0 0
10 9
0 0 1
1 2 2
1 2 1
2 0 1
0 2 2
2 0 2
0 0 0
1 1 2
1 2 0
2 0 0
10 5
2 1 2
0 1 1
0 1 2
1 1 1
0 0 2
1 0 1
0 2 2
2 2 1
0 1 0
1 0 2
10 5
1 3 1
3 1 3
2 1 2
0 1 1
3 3 1
0 3 0
2 1 3
3 3 3
2 0 2
3 0 2
10 8
2 2 1
1 2 1
3 0 1
0 3 3
0 0 3
1 0 3
0 1 3
0 0 2
2 0 2
1 2 2
10 2
1 1 2
1 1 3
3 0 3
1 2 2
0 3 1
1 1 0
2 0 2
1 0 2
2 1 1
3 3 3
10 7
0 1 1
2 3 3
3 2 3
2 0 2
3 1 2
1 2 3
1 0 0
0 2 1
2 1 1
3 3 3
10 6
3 2 3
0 1 3
0 2 3
1 0 1
1 1 3
1 3 3
3 0 2
1 0 2
0 1 0
1 3 0
10 9
1 1 2
0 0 2
1 2 2
2 2 0
1 1 1
2 2 2
1 2 1
2 2 1
0 0 0
2 0 2
10 8
1 1 0
0 0 2
0 0 0
1 2 1
0 1 1
0 1 0
1 0 2
2 1 0
0 2 2
2 0 1
10 8
2 1 0
2 1 1
2 2 1
0 1 0
1 2 2
0 2 0
2 1 2
1 2 1
1 0 1
2 2 2
10 4
0 2 0
2 2 1
2 2 0
0 0 2
1 1 2
2 1 0
0 1 2
1 0 0
1 1 1
1 2 0
10 6
1 2 2
0 2 2
1 0 1
2 0 0
1 1 1
2 0 1
2 2 2
2 1 2
0 0 1
1 0 0
10 5
2 1 2
2 2 1
2 0 3
1 1 2
3 3 0
3 2 0
0 1 3
3 3 1
3 3 2
3 2 2
10 8
2 0 1
1 2 2
1 0 2
2 2 2
0 1 0
2 0 0
0 0 1
1 1 0
0 2 1
2 0 2
10 8
2 2 1
2 1 2
0 0 1
1 2 2
2 0 0
0 0 2
2 1 1
1 1 1
2 2 2
1 2 0
10 9
1 0 1
3 1 1
1 2 1
0 2 0
0 0 1
0 3 3
1 1 1
1 1 0
2 2 3
1 3 0
10 8
2 0 2
0 0 0
1 2 1
0 0 1
2 1 2
2 2 2
1 2 2
2 2 1
0 1 0
2 1 0
10 7
0 1 2
0 1 1
2 0 0
1 2 1
2 0 2
2 0 1
0 0 0
0 2 2
0 2 0
2 2 1
10 9
1 1 2
1 1 0
3 2 3
2 0 1
3 0 2
1 2 3
1 1 3
1 2 2
3 3 0
1 3 2
10 3
2 2 1
3 1 0
2 2 3
2 2 0
0 0 3
3 1 2
0 2 2
0 1 3
2 0 3
2 2 2
10 4
1 2 0
1 1 2
0 2 1
2 1 1
2 2 1
0 0 1
2 0 0
1 0 2
2 0 2
0 2 2
10 2
2 2 0
1 1 0
2 0 2
1 0 2
1 0 1
2 0 0
0 2 1
0 0 0
2 1 0
0 1 2
10 8
3 3 3
3 1 2
3 3 1
1 1 1
1 1 0
0 1 0
2 2 3
2 2 0
1 2 0
3 2 3
10 8
2 1 2
1 0 2
1 2 2
2 2 2
1 0 1
0 0 1
0 2 0
2 0 0
2 0 2
1 2 1
10 2
2 2 2
3 2 1
0 0 3
3 1 3
1 1 0
1 1 2
0 0 0
0 2 3
3 0 0
2 2 1
10 7
0 2 2
0 1 0
2 2 1
2 0 0
1 1 1
1 2 1
2 1 2
2 1 0
1 0 2
0 0 2
10 6
3 0 2
3 0 3
3 3 2
0 0 2
0 1 3
1 2 1
0 1 1
2 0 1
0 2 3
2 0 2
10 8
2 0 2
3 2 2
1 3 0
2 1 0
2 1 3
3 2 3
2 2 0
3 2 1
2 1 1
1 3 3
10 2
3 1 0
2 2 1
0 0 0
3 3 0
2 3 2
2 1 1
0 1 3
2 1 2
2 1 0
1 0 2
10 4
0 2 2
3 1 3
0 2 3
0 3 3
1 2 2
0 0 0
0 3 0
2 1 1
2 0 3
1 3 0
10 2
2 0 2
0 1 2
0 3 2
1 2 0
1 1 1
1 3 3
3 2 1
3 0 1
2 2 3
3 3 1
10 8
1 3 1
3 3 1
1 0 1
2 3 3
2 0 0
3 1 3
2 3 2
2 1 0
1 0 0
3 1 0
10 7
0 0 3
0 1 0
1 3 2
1 0 1
1 3 0
2 1 1
2 2 2
2 3 1
1 1 1
2 0 0
10 6
2 0 2
2 1 0
1 2 2
2 1 2
0 0 1
2 2 1
0 2 0
2 0 0
0 1 2
0 0 0
10 3
0 0 0
1 1 3
2 2 1
3 2 2
0 2 3
1 3 1
0 3 3
3 3 1
0 3 0
1 1 1
10 3
1 0 0
1 2 0
0 2 0
0 0 1
0 2 1
1 0 2
1 0 1
0 1 1
1 1 1
2 1 0
10 5
2 1 1
2 2 1
0 1 0
2 1 2
0 1 1
0 2 2
1 1 1
1 0 1
1 1 0
2 0 1
10 3
1 1 1
2 2 2
2 0 0
0 2 0
0 1 2
1 2 1
1 1 2
1 0 1
2 1 1
0 0 1
10 3
1 0 2
0 0 1
2 2 0
1 1 0
2 1 1
0 0 0
0 1 0
2 2 2
0 1 1
1 1 1
10 7
1 2 1
1 0 0
1 0 1
2 0 0
0 1 0
2 1 1
0 2 1
0 2 0
1 1 1
0 2 2
10 4
1 1 2
0 0 0
2 0 2
0 1 1
1 1 1
0 0 1
0 2 0
2 2 2
0 1 2
1 0 2
10 8
2 2 2
1 1 0
2 3 3
3 1 0
3 2 3
1 1 1
3 2 1
2 3 0
1 3 0
3 1 3
10 8
0 1 1
1 3 3
2 3 3
2 3 2
1 1 0
2 2 2
2 0 0
2 1 0
1 1 3
0 2 3
10 9
0 0 2
0 0 1
0 0 0
1 2 1
2 1 0
0 1 0
0 2 1
2 0 1
2 2 1
1 2 2
10 4
3 1 0
1 3 3
3 1 3
2 1 2
2 1 3
2 1 0
2 0 3
1 1 2
3 3 1
2 2 2
10 9
1 1 0
2 0 2
0 2 0
2 0 1
0 2 1
2 2 2
1 0 2
0 2 2
1 2 0
1 0 1
10 6
2 0 2
2 0 0
2 1 1
2 2 0
1 1 1
0 2 0
1 0 1
2 2 2
2 0 1
0 0 1
10 7
1 1 2
2 2 2
2 0 2
0 3 2
3 2 2
2 3 2
0 1 1
3 0 2
0 0 0
1 3 3
10 8
2 0 2
1 0 2
1 2 2
2 2 0
2 1 1
2 0 1
1 1 2
0 1 0
0 1 2
2 2 2
10 6
1 2 1
0 1 2
2 0 0
0 2 0
2 0 1
1 1 1
1 2 2
0 0 0
2 2 0
0 0 1
10 9
2 2 2
0 2 0
0 1 0
1 2 2
0 0 0
1 0 1
0 2 2
2 1 1
2 1 0
1 1 0
10 9
0 3 3
2 0 1
3 0 3
0 2 0
0 1 0
2 0 3
2 1 3
2 0 2
3 0 2
1 0 1
10 8
2 1 0
2 0 2
3 0 1
1 0 1
0 3 1
3 2 1
3 2 0
0 2 1
3 1 3
2 3 0
10 7
0 2 2
2 0 2
0 1 0
2 2 1
1 0 2
1 2 0
1 1 2
2 1 2
1 1 0
2 0 0
10 2
3 2 3
3 1 2
2 2 2
1 0 2
0 3 2
2 1 0
2 1 1
1 3 3
1 1 1
0 1 3
10 2
2 0 1
1 1 1
1 0 2
0 2 0
0 0 1
1 2 1
2 1 0
0 0 0
2 1 2
0 1 0
10 9
2 0 1
1 1 0
2 2 0
1 2 2
0 2 2
2 1 2
0 0 0
1 1 1
0 2 0
2 2 2
10 8
1 1 2
1 1 0
0 3 0
2 1 2
2 2 1
3 1 3
0 3 2
2 1 3
1 0 2
2 3 3
10 2
2 0 2
0 2 2
0 2 1
2 0 0
1 1 1
0 1 1
2 0 1
0 0 2
2 1 1
2 2 0
10 5
3 2 3
1 2 1
3 1 3
1 1 1
0 0 2
3 2 1
0 3 2
3 1 1
3 0 2
3 3 1
10 4
0 1 0
1 1 2
0 2 0
1 1 3
1 0 2
3 3 0
3 0 3
1 1 1
0 0 2
1 2 3
10 3
1 3 3
2 1 2
2 2 0
2 0 2
0 2 2
2 3 3
3 3 1
1 1 2
1 1 3
0 1 3
10 7
1 2 1
1 1 2
2 2 2
1 2 2
0 0 2
0 2 1
2 0 1
0 1 0
1 2 0
2 1 0
10 9
0 3 2
3 0 2
3 1 3
2 0 2
2 2 1
3 3 1
2 0 1
0 0 2
3 2 0
0 0 0
10 2
0 1 3
0 1 1
3 1 3
2 1 1
2 3 2
0 3 1
0 2 3
1 0 2
2 2 1
0 0 0
10 7
0 2 1
2 0 0
1 0 1
1 1 1
1 1 0
1 2 0
2 0 2
2 1 1
2 1 0
2 2 1
10 3
0 2 1
3 1 1
2 3 2
1 3 2
2 2 2
2 3 0
0 1 2
3 1 0
2 2 1
1 0 0
10 8
2 1 0
0 0 2
0 1 2
1 2 0
2 2 1
0 2 1
1 0 1
1 2 1
2 1 2
2 1 1
10 8
1 1 1
1 1 2
0 0 1
1 0 2
1 2 1
0 2 0
0 1 2
2 2 1
1 2 0
1 2 2
10 6
0 3 1
0 1 3
1 2 2
0 0 3
1 0 0
3 3 2
0 3 3
2 2 1
3 3 1
3 2 0
10 3
1 1 1
0 0 2
0 1 3
2 3 2
2 1 0
1 0 0
2 2 3
1 2 3
0 3 0
1 3 2
10 4
0 2 0
3 0 1
3 2 2
0 1 3
3 3 2
1 0 0
0 0 1
3 2 1
0 0 2
2 0 1
10 7
1 2 0
1 1 0
1 2 1
1 1 2
2 1 0
1 2 2
1 1 1
2 0 0
1 0 0
2 0 2
10 6
1 1 2
1 1 0
1 1 1
1 0 1
0 1 0
1 2 2
2 1 1
1 0 0
0 2 1
0 1 1
10 5
3 3 0
1 3 1
3 0 1
0 3 1
1 1 1
0 0 3
3 2 1
3 2 0
3 3 3
1 0 2
10 3
1 0 0
1 2 1
0 2 2
2 2 2
2 2 0
0 0 2
1 2 2
2 0 2
1 1 2
0 0 0
10 2
2 1 2
1 1 0
1 0 2
2 2 2
1 2 2
0 1 2
2 2 0
2 0 2
0 2 2
1 0 0
10 4
1 0 2
2 1 1
2 2 0
1 0 0
0 1 1
2 2 1
2 0 1
2 2 2
0 0 2
0 2 0
10 7
2 1 1
1 2 0
0 1 2
1 0 2
1 1 2
1 0 0
1 0 1
0 2 2
1 2 2
1 2 1
10 8
2 0 2
0 3 1
3 2 3
0 1 1
3 1 3
1 2 0
0 1 2
3 3 1
1 3 3
3 1 1
10 5
2 0 1
3 3 2
2 3 3
1 0 3
0 2 2
1 1 3
2 3 1
2 3 2
0 3 1
2 0 0
10 2
1 1 3
3 2 2
3 0 2
2 2 1
0 0 1
2 3 2
3 1 0
0 2 2
3 0 0
2 1 3
10 3
0 0 1
0 2 1
1 1 1
0 2 0
1 1 0
2 0 1
2 2 2
0 1 0
0 1 2
1 2 1
10 7
3 3 2
0 3 1
2 1 0
3 0 0
1 2 0
1 1 2
0 3 2
0 0 0
1 2 2
1 1 3
10 2
1 2 1
2 2 1
3 0 2
3 3 0
1 3 1
0 1 3
0 3 3
2 1 1
3 0 1
3 3 1
10 8
2 2 0
1 2 3
3 0 2
2 1 3
3 2 0
1 2 1
1 0 0
1 3 1
2 2 3
0 1 3
10 3
1 2 1
0 1 1
2 1 0
0 0 2
0 1 0
0 2 0
2 0 2
1 0 0
2 1 2
2 2 2
10 6
2 1 0
2 3 3
1 1 2
3 0 3
1 2 0
3 1 3
2 2 0
1 0 0
2 3 2
1 1 0
10 7
1 0 0
2 0 2
0 0 0
2 2 1
2 0 1
0 0 1
1 1 1
0 1 2
2 2 0
0 0 2
10 8
1 0 1
1 0 2
1 1 2
1 2 1
1 2 0
2 2 2
2 0 2
2 0 0
2 1 2
1 1 0
10 4
0 3 2
2 0 1
1 3 2
2 1 1
2 0 2
2 2 2
2 1 0
1 0 0
3 2 3
3 3 3
10 4
3 2 2
0 1 1
1 3 2
2 1 3
3 3 2
0 0 0
0 3 1
0 3 0
2 2 0
2 2 2
10 2
2 3 0
3 2 3
2 1 1
1 1 2
0 3 2
3 3 1
2 3 2
2 1 2
2 3 3
0 2 0
10 3
0 2 0
0 0 1
1 1 0
2 2 0
1 1 2
1 0 0
0 1 0
1 0 1
2 1 1
2 0 2
10 9
0 1 0
3 3 2
2 1 2
3 2 3
2 2 0
1 1 1
1 0 1
3 3 3
1 2 1
1 2 2
10 3
3 0 3
0 0 0
0 3 3
3 3 1
1 1 0
2 2 2
3 2 3
3 0 1
0 2 0
1 0 3
10 6
3 3 0
1 3 2
1 3 1
0 0 0
1 3 0
0 2 1
0 2 2
2 0 0
1 1 3
3 3 2
10 2
0 2 0
2 2 2
0 0 0
2 1 2
1 1 0
2 2 0
0 1 2
0 2 2
1 0 0
0 0 1
10 5
3 2 2
1 0 2
0 2 1
0 0 1
0 3 3
2 3 2
2 2 1
3 2 0
2 3 1
2 1 3
10 6
2 1 0
1 1 0
2 3 2
1 1 3
0 2 1
0 1 3
3 3 3
0 0 0
2 2 3
0 3 2
10 2
3 2 0
2 1 1
0 2 1
0 0 0
3 1 3
3 0 2
3 3 1
2 1 0
0 0 1
3 3 2
10 2
2 3 3
0 1 1
1 1 0
1 2 1
0 2 0
3 3 1
2 2 1
0 1 0
2 1 2
0 3 2
10 6
1 3 0
3 1 2
0 0 1
3 2 2
0 1 1
0 3 3
0 0 0
1 3 2
0 1 0
2 2 1
10 4
2 2 2
2 2 0
2 0 2
1 2 0
2 1 0
2 0 0
1 0 0
0 2 2
0 2 1
0 0 0
10 7
0 0 1
0 1 0
2 1 0
0 2 2
1 2 0
1 0 2
0 1 2
2 1 2
1 1 2
1 2 2
10 3
0 0 0
1 3 1
3 1 3
1 1 0
3 1 2
0 0 1
3 0 2
2 3 1
3 3 1
2 3 3
10 2
2 0 0
0 1 2
2 2 0
2 0 2
2 2 2
1 1 2
1 2 1
0 2 1
1 0 1
2 0 1
10 4
0 0 0
1 1 2
0 0 1
2 2 0
1 0 2
1 2 2
2 2 1
1 1 0
2 2 2
0 0 2
10 5
3 1 3
1 2 0
0 2 2
1 0 2
1 2 2
2 0 3
0 1 3
3 1 1
1 2 1
0 0 3
10 4
1 2 0
0 1 0
1 2 2
2 1 2
1 1 0
2 1 0
0 1 1
0 1 2
2 0 0
1 0 1
10 6
0 0 2
2 1 1
1 1 1
1 2 0
0 2 1
1 2 1
0 1 0
1 2 2
1 0 1
1 0 0
10 5
3 1 1
0 2 3
3 3 2
2 2 1
2 0 1
0 3 2
3 3 3
0 3 0
1 0 3
1 3 2
10 2
0 0 0
1 0 2
1 2 2
2 0 0
2 1 0
2 2 0
0 1 1
0 1 0
1 1 1
2 1 2
10 7
1 1 1
1 1 0
1 2 0
0 1 1
1 2 1
0 2 1
0 0 2
1 0 2
2 2 1
2 0 2
10 3
0 2 2
1 1 0
3 3 3
3 3 1
2 0 3
3 1 2
1 2 3
2 3 3
1 2 0
1 3 1
10 2
0 1 2
2 0 0
1 1 2
1 2 1
0 0 2
2 2 1
2 1 1
2 2 0
1 0 2
2 2 2
10 5
1 0 0
0 1 1
2 0 2
2 0 0
3 1 1
2 3 3
3 2 0
0 3 2
1 2 1
0 0 3
10 2
3 2 1
1 3 0
0 2 3
0 0 2
0 3 0
1 3 1
3 0 0
2 0 1
2 0 0
2 2 0
10 2
1 0 0
3 2 2
3 3 1
0 3 1
1 1 1
0 1 3
2 2 0
3 0 0
0 0 0
2 1 2
10 6
2 3 2
0 3 2
3 1 3
1 2 3
2 3 0
3 0 0
3 3 2
3 2 0
2 3 1
3 2 1
10 6
2 0 2
0 0 1
2 0 0
2 2 2
0 1 0
0 1 2
0 2 1
1 2 0
1 2 1
0 2 2
10 8
3 1 2
2 2 2
0 2 0
1 1 0
2 3 3
3 3 2
1 3 0
1 0 3
1 0 2
2 0 3
10 2
2 1 2
0 1 0
2 2 1
1 1 0
0 1 2
0 0 0
1 2 2
2 2 0
1 2 1
1 1 2
10 4
0 2 1
0 1 2
1 2 1
0 2 2
1 1 0
2 2 0
2 1 2
2 1 1
1 0 2
1 2 0
10 3
2 0 1
2 1 1
0 0 2
0 2 1
1 0 1
1 2 2
2 0 0
0 1 1
0 1 0
0 2 2
10 6
1 0 2
1 0 1
1 2 2
2 0 1
1 2 0
2 0 2
0 0 2
1 2 1
2 0 0
0 0 0
10 4
0 0 2
2 1 1
0 1 0
2 2 0
0 2 0
0 0 0
1 2 2
2 1 2
1 1 0
2 2 1
10 9
3 3 0
0 1 0
2 3 3
0 0 0
1 2 1
1 3 2
3 2 1
3 0 1
2 0 1
1 3 1
10 6
0 3 2
1 0 0
2 0 1
3 3 3
1 3 1
2 3 1
3 0 1
0 2 1
1 1 2
1 1 0
10 5
0 2 2
0 1 1
2 1 1
2 1 0
2 0 0
1 1 2
0 1 0
2 2 2
1 2 2
2 0 1
10 2
1 1 2
0 1 0
0 0 0
0 0 1
0 2 2
0 2 1
2 2 1
0 2 0
0 1 2
1 1 1
10 3
2 0 0
1 0 2
0 0 2
1 2 0
0 1 0
0 2 0
2 1 0
2 0 1
2 2 0
1 2 1
10 4
1 3 0
1 3 1
2 0 3
3 2 1
2 3 0
2 3 1
2 1 2
0 3 0
3 3 2
0 0 2
10 5
2 2 2
2 2 1
2 0 2
1 0 2
1 0 1
1 0 0
0 1 2
1 1 2
2 0 1
0 0 2
10 9
2 0 2
0 1 1
2 2 0
0 2 1
0 0 0
1 1 1
2 0 1
0 2 0
2 1 1
0 0 1
10 7
2 2 2
2 1 0
3 2 1
0 1 3
0 3 3
2 0 3
3 2 3
0 0 1
2 3 3
2 0 0
10 5
1 0 1
0 3 3
3 2 2
2 3 3
3 1 3
3 3 2
3 2 3
1 3 2
3 3 3
0 2 2
10 8
0 1 1
1 1 2
1 1 0
2 2 0
1 0 2
0 0 2
2 1 0
1 0 0
1 2 1
0 2 2
10 5
1 0 1
0 1 0
1 2 1
2 2 2
1 1 2
1 2 0
0 0 1
1 0 0
2 1 0
0 0 0
10 4
0 1 1
1 0 2
0 0 2
2 0 1
1 1 0
0 1 2
2 2 0
2 1 1
0 2 2
1 0 0
10 3
1 1 2
2 2 0
2 2 1
2 0 0
1 2 1
1 0 0
0 2 0
2 1 1
2 0 1
0 1 2
10 2
2 1 1
0 2 1
0 1 0
2 2 2
1 1 0
2 1 2
0 2 2
2 0 2
0 0 0
2 0 0
10 2
1 2 0
0 2 3
3 0 3
0 0 2
1 0 2
1 0 0
0 3 0
2 2 2
2 3 1
0 0 1
10 6
0 0 2
2 0 2
2 0 1
2 2 1
2 1 1
2 0 0
2 1 2
0 0 0
1 2 2
0 1 2
10 7
1 0 2
2 3 0
0 2 3
3 3 1
0 1 1
3 2 0
3 3 3
1 1 1
2 0 2
3 1 3
10 4
2 0 3
2 2 1
1 1 2
2 0 0
3 1 3
0 1 0
0 2 3
0 3 1
0 0 2
3 2 0
10 8
0 0 2
2 0 2
1 0 2
1 1 1
0 1 0
0 0 1
0 1 1
1 1 0
2 1 1
1 0 0
10 7
0 2 3
1 2 1
0 1 3
3 2 0
3 0 3
1 0 2
2 2 2
2 3 3
0 1 2
2 1 1
10 3
0 3 1
0 0 1
0 0 3
2 0 2
3 1 0
1 0 0
1 1 3
0 0 2
3 3 2
3 3 0
10 6
2 0 0
1 1 1
2 1 2
0 2 1
0 0 1
1 2 2
2 2 1
1 0 2
1 1 2
0 0 2
10 3
0 1 0
1 0 1
0 2 1
2 1 1
0 2 0
2 0 2
0 2 2
2 0 0
1 2 1
2 1 0
10 7
1 1 3
0 0 1
3 3 0
0 0 2
1 3 0
0 3 2
1 1 2
0 3 1
2 3 1
3 1 3
10 3
1 1 3
1 0 2
1 0 1
1 1 2
0 1 2
1 2 0
3 1 1
2 3 1
2 2 1
2 0 1
10 3
0 1 0
0 2 3
1 2 1
3 1 0
1 0 0
1 1 3
2 3 1
3 1 3
3 0 2
2 0 1
10 4
1 1 0
0 2 1
0 0 2
1 0 1
1 2 1
2 1 0
2 2 2
1 1 2
1 2 2
2 1 2
10 4
3 2 1
3 3 1
2 3 3
0 1 0
0 0 1
1 0 1
2 1 1
0 2 3
3 0 1
0 2 2
10 2
1 3 2
3 0 0
0 1 2
3 3 2
0 2 0
2 0 0
2 1 0
0 0 1
1 0 1
0 0 2
10 8
2 3 2
2 2 0
0 2 2
0 1 3
3 2 0
2 2 2
0 2 1
0 2 0
2 1 0
1 2 2
10 2
3 0 1
0 3 3
0 2 0
2 1 3
1 0 2
0 3 2
3 1 3
1 2 0
0 1 2
1 0 1
10 6
1 0 1
0 0 1
0 2 2
0 0 0
1 0 0
1 2 2
0 1 1
0 0 2
1 1 2
2 1 0
10 5
3 1 2
0 1 3
0 1 2
1 2 0
0 0 3
0 0 0
2 0 1
0 3 3
3 3 3
1 2 3
10 4
2 1 0
0 2 2
1 3 1
3 3 1
3 1 3
0 2 3
3 0 3
1 1 1
3 3 3
2 3 2
10 9
2 1 1
1 2 2
0 2 1
1 0 1
1 0 0
2 2 0
1 1 0
0 0 2
1 0 2
2 2 1
10 5
1 2 2
0 0 2
0 0 1
1 0 0
2 0 2
1 1 2
2 1 2
2 2 1
2 2 2
0 2 2
10 8
3 1 1
2 0 1
1 1 3
2 3 3
1 0 3
1 2 2
3 0 2
2 1 0
2 0 0
2 1 2
10 4
0 1 2
1 2 2
1 1 2
1 0 0
0 0 1
1 1 1
0 1 0
2 1 0
1 0 1
2 1 1
10 6
2 2 2
1 2 0
3 3 1
2 3 2
3 0 3
3 1 0
1 1 0
1 1 2
3 0 2
2 2 1
10 9
1 0 0
1 2 2
3 1 0
0 1 0
0 0 1
2 1 1
3 3 2
0 1 3
3 3 0
3 0 2
10 8
0 3 2
0 2 1
2 3 2
3 2 3
0 0 0
2 1 0
2 2 3
3 0 2
2 0 2
3 3 1
10 6
2 0 2
1 0 2
1 1 0
0 2 0
2 1 2
2 2 2
0 2 2
0 0 0
2 2 0
1 2 1
10 5
0 0 3
3 3 0
2 1 3
2 1 0
3 3 2
2 3 0
1 1 0
0 3 2
2 2 3
1 0 2
10 8
1 0 0
1 0 2
0 2 2
1 2 3
1 1 2
2 1 1
1 2 1
2 1 3
3 2 3
0 2 3
10 9
1 2 0
2 0 3
3 2 0
0 1 2
2 0 1
0 3 3
1 1 0
3 1 3
3 0 1
3 3 0
10 5
2 3 2
1 1 1
3 1 0
0 2 1
1 3 3
1 1 3
1 3 0
1 3 2
3 3 0
0 2 0
10 9
0 1 2
0 2 2
1 2 2
1 1 0
0 2 1
1 2 1
1 0 1
0 0 0
2 1 2
2 1 0
10 8
1 1 1
2 0 0
0 0 1
1 0 0
1 2 1
2 1 1
2 0 1
1 1 0
0 2 1
2 1 2
10 6
3 2 0
1 0 2
1 1 0
0 1 3
0 2 0
3 3 0
0 0 0
3 0 2
1 0 3
2 2 0
10 5
2 0 1
2 1 1
1 0 0
0 0 1
0 1 2
0 0 0
2 1 2
1 1 1
1 1 2
1 2 1
10 4
1 2 1
0 2 1
1 0 1
0 1 1
2 2 2
1 1 2
2 1 1
2 0 1
2 0 2
0 2 2
10 5
2 1 0
1 2 2
0 0 1
1 1 2
0 1 0
2 2 2
0 0 2
2 0 2
1 2 0
0 0 0
10 2
0 3 1
2 2 2
3 0 3
3 3 3
0 1 3
2 1 1
1 1 3
0 2 2
1 2 2
2 3 2
10 3
2 1 0
0 2 2
1 1 2
2 2 0
1 1 1
1 0 0
0 1 1
2 2 1
0 1 2
1 2 2
10 6
3 0 0
3 2 1
2 2 3
0 2 2
0 1 2
3 0 1
0 2 1
1 1 0
3 2 3
2 2 2
10 9
2 0 0
2 0 2
2 1 2
1 2 0
1 0 1
2 2 1
2 2 0
0 0 0
2 2 2
2 1 1
10 7
1 1 1
2 2 1
0 2 0
2 0 2
1 1 2
1 0 0
2 1 2
2 2 0
2 0 1
2 0 0
10 6
1 2 2
2 0 0
2 0 2
0 2 1
2 2 0
0 1 1
1 1 1
1 1 0
1 0 1
2 1 0
10 2
0 0 1
2 2 1
2 0 1
0 2 0
0 2 1
2 2 2
1 2 2
0 2 2
1 1 2
1 2 1
10 7
2 0 2
0 2 0
0 0 1
2 1 2
0 1 1
0 0 2
2 2 1
1 0 0
2 1 0
1 2 1
10 4
0 2 2
2 1 2
0 0 0
2 1 0
0 2 0
1 2 2
2 2 2
0 1 1
2 0 0
1 1 0
10 8
1 0 0
1 1 1
2 0 1
0 0 1
1 2 1
1 0 2
1 1 2
2 0 2
2 1 2
1 2 0
10 5
1 1 0
0 0 1
0 1 2
0 0 0
2 0 2
0 1 1
1 0 1
2 2 0
2 0 0
2 0 1
10 5
2 2 1
0 0 0
0 1 1
1 0 2
0 2 2
2 0 1
2 2 2
1 0 0
0 2 1
0 1 2
10 5
0 0 0
0 2 0
1 0 1
2 0 0
1 1 0
0 2 2
2 1 2
1 0 0
1 2 2
2 1 0
10 6
0 1 0
2 1 2
1 2 0
2 2 1
1 2 2
0 0 2
0 0 0
1 1 2
1 2 1
0 2 2
10 5
1 2 1
1 1 2
0 1 1
0 1 0
2 0 1
1 1 0
0 0 2
1 1 1
0 0 0
2 1 2
10 3
2 2 1
1 2 2
1 2 1
1 2 0
0 2 2
2 0 1
0 0 2
0 2 0
2 1 0
2 2 0
10 9
3 1 2
3 3 0
0 0 3
2 0 0
2 0 2
1 3 1
2 0 3
0 3 0
2 1 1
1 0 1
10 3
1 0 0
0 0 0
1 2 1
2 0 1
1 1 0
1 2 0
0 2 2
2 0 0
1 0 1
2 2 2
10 3
2 0 2
2 2 2
0 3 3
0 3 1
3 3 3
0 2 0
3 3 2
1 0 0
2 1 2
0 0 1
10 3
2 1 3
2 0 0
3 1 1
2 0 2
3 1 2
0 2 2
3 3 0
2 3 3
1 1 2
1 3 3
10 9
3 2 1
2 2 3
0 1 0
0 2 3
3 3 1
3 3 2
0 1 1
2 1 2
1 0 3
1 1 0
10 9
0 2 2
0 2 0
2 0 0
0 0 0
1 0 0
0 1 1
0 0 2
1 2 0
1 1 2
0 1 2
10 9
3 3 3
1 1 2
1 0 0
0 3 1
2 1 0
1 3 2
3 0 1
1 1 1
3 3 0
1 2 3
10 4
1 0 1
0 1 1
1 2 1
1 1 1
1 0 0
0 1 2
1 2 0
2 1 0
2 0 2
0 1 0
10 7
0 2 3
2 2 2
3 1 3
2 0 0
1 0 2
0 0 1
2 2 0
0 0 2
1 2 1
1 0 3
10 2
2 2 0
0 2 0
0 1 1
1 0 0
2 1 2
1 1 2
2 0 2
2 1 1
1 0 1
0 0 0
10 2
3 3 2
1 0 3
1 2 3
2 0 3
1 1 0
2 1 3
3 1 3
1 3 0
1 0 1
1 0 0
10 7
0 0 2
2 2 3
0 0 3
2 2 0
0 2 2
0 0 0
0 1 2
1 0 2
2 1 3
1 0 3
10 2
0 1 2
1 1 2
0 2 2
2 1 0
1 0 2
0 1 1
0 2 0
1 2 0
2 1 2
0 0 0
10 8
2 0 1
2 2 3
2 2 0
3 2 0
1 3 1
3 3 1
0 1 0
2 0 2
3 3 2
1 3 2
10 4
0 1 1
2 3 1
2 3 2
2 1 2
1 0 2
0 2 0
2 0 3
1 0 3
0 1 3
2 3 0
10 2
2 0 0
1 1 2
0 1 2
0 0 1
2 0 1
2 1 0
0 1 1
1 2 0
1 1 1
0 0 2
10 2
1 1 1
1 0 2
2 1 1
2 0 2
2 2 1
0 0 0
1 2 1
1 1 0
0 2 2
0 0 1
10 5
2 2 2
2 0 2
2 2 1
1 2 2
1 1 1
1 0 1
0 0 0
2 1 1
0 0 1
1 0 2
10 3
3 0 1
0 1 3
2 2 3
1 1 2
2 2 2
1 3 2
2 3 1
1 2 3
3 1 2
3 3 0
10 5
0 3 3
1 3 1
3 1 3
1 0 0
1 1 2
1 1 3
2 2 1
3 3 1
1 2 2
1 2 1
10 4
1 3 3
1 2 2
2 3 1
0 3 2
2 2 0
3 1 0
0 3 3
1 0 1
2 0 0
2 3 0
10 8
2 1 0
0 0 1
1 1 0
2 1 1
2 1 2
0 2 0
2 2 2
1 0 2
2 0 0
0 2 2
10 2
0 1 1
2 0 0
2 2 1
2 0 2
0 1 2
0 0 1
1 2 2
2 2 0
1 1 0
1 0 0
10 5
1 1 2
1 2 0
3 2 3
2 2 2
3 0 3
2 3 1
3 1 3
0 1 1
0 0 2
1 1 1
10 5
1 0 2
2 0 2
0 2 1
1 0 3
2 2 3
3 2 1
0 1 0
3 1 0
3 0 1
0 2 3
10 5
2 1 0
0 0 2
2 0 1
0 1 2
1 1 2
2 1 1
1 1 1
0 0 0
0 2 0
0 0 1
10 4
1 1 2
0 0 1
0 0 2
0 1 1
2 1 1
2 0 2
0 2 0
2 2 0
2 2 1
1 2 1
10 9
0 2 3
0 3 0
3 2 2
1 1 0
3 2 0
0 1 2
2 2 2
0 3 2
1 0 3
3 1 3
10 9
3 3 3
2 1 1
1 2 2
2 1 3
3 1 2
1 0 0
0 3 2
0 2 3
1 1 0
2 0 1
10 4
2 1 2
2 2 0
1 2 2
2 1 0
2 2 2
1 0 1
1 0 2
1 2 1
0 0 0
0 1 0
10 4
1 1 1
2 1 2
0 0 2
0 1 0
0 2 1
2 2 0
2 1 0
0 0 0
0 2 2
1 2 2
10 9
1 0 0
0 1 2
1 2 0
1 1 2
2 2 0
2 1 2
2 1 0
1 1 0
0 2 2
1 2 1
10 2
3 3 3
1 2 1
3 2 0
2 2 3
1 0 0
0 1 1
2 0 1
2 2 1
3 0 1
3 1 2
10 8
2 1 1
0 1 2
0 0 2
0 2 0
1 1 0
1 1 1
0 2 2
1 0 2
0 0 1
1 0 1
10 2
0 0 1
2 1 1
0 2 2
2 0 2
1 0 1
1 0 0
2 1 2
0 1 1
0 2 1
1 2 2
10 2
3 2 1
3 1 1
0 0 1
2 2 3
1 2 1
1 2 2
2 0 3
3 2 0
1 1 3
3 2 3
10 8
1 2 0
1 0 0
2 1 2
0 1 0
2 0 2
2 2 1
1 1 0
1 0 1
0 2 0
0 2 1
10 2
0 1 0
0 1 1
1 1 2
0 0 0
2 0 1
2 1 2
2 0 2
1 0 2
1 0 1
0 0 1
10 2
1 0 2
2 0 2
0 1 0
2 0 0
0 1 2
1 2 0
0 1 1
2 2 1
2 0 1
0 0 0
10 4
0 0 0
2 0 2
2 1 2
2 1 0
1 2 0
1 0 2
0 0 2
0 1 1
2 0 1
1 0 1
10 9
0 3 0
2 3 1
2 0 3
0 0 3
1 1 1
2 3 2
1 0 3
2 2 2
2 3 0
1 3 1
10 8
1 0 1
2 1 0
2 1 2
1 3 2
3 3 2
1 1 1
3 0 1
2 3 1
0 0 2
3 0 0
10 9
2 1 2
0 0 0
1 0 1
2 2 1
1 2 0
0 0 2
0 1 2
1 1 1
1 0 2
0 1 1
10 7
2 2 1
1 1 1
0 1 2
1 0 2
1 0 0
0 0 0
0 1 1
1 0 1
0 1 0
2 2 0
10 6
3 3 2
2 1 1
1 2 3
2 1 0
3 0 0
3 2 3
2 3 2
0 1 3
0 1 0
3 3 3
10 2
3 1 2
0 1 3
2 1 3
3 1 0
0 3 0
2 1 1
1 3 0
0 1 2
1 2 1
3 2 3
10 7
2 0 3
1 2 2
1 3 3
1 3 1
3 1 3
3 3 0
0 1 2
1 0 3
1 2 0
3 0 2
10 3
0 2 2
1 0 2
1 2 0
1 2 2
0 2 1
2 1 2
0 2 0
2 1 0
2 0 0
2 2 1
10 8
3 3 2
1 3 0
0 3 2
0 0 3
1 3 3
1 2 0
2 1 2
3 1 2
0 2 0
2 2 0
10 8
1 0 0
1 2 2
2 2 0
1 1 1
1 2 0
2 2 1
2 0 0
2 1 2
0 0 0
1 2 1
10 8
3 2 0
1 3 1
3 3 1
0 1 3
2 2 1
0 0 0
1 2 1
2 2 3
3 1 2
0 3 1
10 8
3 2 3
0 2 2
3 1 2
3 3 2
0 0 3
2 3 1
3 2 0
1 1 0
0 3 3
3 1 1
10 5
1 3 2
0 2 1
1 0 1
2 3 0
2 2 3
1 1 2
1 1 0
3 1 1
1 1 3
0 1 1
10 8
3 3 0
1 2 1
3 0 3
1 3 3
3 1 0
3 2 0
1 3 0
1 2 2
3 3 3
3 1 3
10 5
0 3 3
0 2 1
3 0 3
1 1 3
0 1 0
1 3 0
3 1 3
1 2 2
2 3 0
1 0 3
10 6
2 0 1
3 0 0
0 1 3
3 1 2
3 0 3
0 2 2
2 3 0
1 0 1
1 3 3
3 0 1
10 5
1 0 0
0 0 0
1 2 2
2 2 0
1 2 0
2 1 1
2 2 2
2 2 1
1 2 1
1 0 1
10 6
1 1 1
2 1 2
2 1 1
1 2 0
2 2 1
2 1 0
1 0 2
0 0 2
0 2 0
0 1 0
10 4
2 2 1
1 1 2
1 0 1
1 2 0
1 2 1
1 1 0
0 0 1
0 1 1
2 2 2
1 0 2
10 3
0 2 2
2 1 0
2 1 2
0 1 0
1 2 1
0 0 1
2 1 1
0 0 2
2 2 2
1 0 2
10 4
2 0 2
2 2 2
0 0 1
2 1 0
1 1 0
0 0 2
2 0 1
0 1 0
1 0 2
1 0 1
10 7
0 0 0
0 1 2
1 1 2
2 1 1
1 0 2
0 2 1
0 0 2
1 2 2
0 2 2
1 0 1
10 6
1 1 3
2 1 1
3 0 1
1 0 3
3 3 3
0 3 3
1 2 3
3 2 1
3 2 0
0 3 0
10 4
3 2 3
3 0 2
0 1 2
1 3 0
1 1 1
3 3 3
1 0 2
1 0 0
2 1 0
0 3 3
10 8
1 1 1
2 0 0
2 0 2
1 0 0
0 1 1
2 2 1
0 1 2
1 1 0
2 1 0
1 0 2
10 9
3 1 2
3 2 2
3 1 1
3 3 3
2 2 2
1 3 2
3 0 1
2 3 2
1 0 3
2 1 1
10 3
1 0 1
1 1 2
0 0 0
2 2 1
0 1 0
0 2 0
1 2 0
0 0 2
0 0 1
2 1 2
10 8
2 1 1
0 1 2
1 0 0
2 1 2
0 1 1
1 1 1
1 2 0
2 1 0
1 0 2
1 1 2
10 2
0 2 1
0 1 0
2 0 2
0 0 2
2 0 0
1 0 1
2 0 1
1 0 2
0 0 1
0 2 0
10 5
0 2 0
2 2 0
0 2 2
1 2 0
2 1 0
1 0 2
2 2 1
1 1 1
1 0 1
2 0 2
10 8
1 1 1
1 2 0
2 2 2
0 0 1
1 1 2
0 1 2
1 2 1
2 0 2
2 2 1
2 1 1
10 8
2 3 0
2 1 3
2 1 2
2 2 0
0 1 2
1 1 0
3 0 3
2 0 0
0 3 0
3 1 2
10 9
0 1 0
1 0 1
1 2 1
0 2 1
0 1 1
2 1 1
0 2 2
0 0 1
1 0 0
0 0 2
10 6
1 3 1
2 3 0
3 1 0
1 1 1
3 0 1
3 0 0
2 3 2
1 1 3
3 2 2
2 0 2
10 6
0 0 2
2 1 3
2 3 3
3 2 1
2 0 1
0 0 0
1 0 2
2 2 0
2 3 0
1 0 1
10 7
0 3 3
1 1 2
3 2 3
2 1 2
2 2 3
1 3 2
3 3 1
1 2 0
3 0 0
0 1 2
10 6
0 1 0
0 1 2
2 2 0
2 1 0
1 1 2
2 1 2
0 2 2
0 1 1
0 0 0
2 2 1
10 8
2 3 3
0 3 2
1 3 0
3 1 2
1 3 2
0 2 0
3 2 0
1 2 3
2 1 2
2 2 0
10 7
1 0 0
1 0 2
1 2 1
2 0 1
0 0 0
2 2 1
2 1 2
0 1 1
1 0 1
1 2 0
10 4
1 1 3
0 1 3
2 2 2
0 3 2
3 3 0
0 3 0
2 3 1
3 0 3
0 2 1
0 0 3
10 2
3 1 1
3 3 2
3 2 0
0 0 0
0 0 2
2 2 0
2 2 3
1 1 0
2 0 1
2 1 2
10 2
0 1 1
3 0 3
1 3 2
2 1 1
1 2 0
0 2 0
0 1 3
1 0 2
2 1 0
2 2 0
10 2
2 2 0
2 1 2
2 0 0
0 0 0
1 0 2
0 2 0
2 0 2
2 1 0
1 0 0
1 1 0
10 2
1 1 2
0 2 0
3 2 1
2 0 0
2 2 0
3 0 0
3 3 2
1 3 3
0 1 1
1 1 3
10 8
1 1 2
2 0 1
1 2 2
0 0 2
2 1 0
2 2 2
0 1 2
0 2 2
1 0 1
1 2 1
10 9
3 0 3
0 2 2
2 3 3
0 1 0
3 3 1
3 3 3
2 3 0
2 1 3
1 0 0
3 1 0
10 2
1 0 1
1 1 2
2 0 1
2 0 2
2 1 0
2 0 0
0 0 0
0 1 0
0 0 2
0 1 2
10 8
0 1 1
1 1 2
1 1 0
0 2 1
0 0 0
2 0 1
1 0 1
0 1 2
2 2 1
2 1 2
10 8
0 2 3
2 2 3
3 0 0
2 1 2
0 3 0
2 1 0
1 2 3
3 3 3
1 2 1
1 0 2
10 2
1 1 0
3 1 0
2 2 2
3 2 0
0 0 2
0 2 1
1 3 2
1 0 0
2 1 1
1 0 2
10 4
2 2 1
0 2 2
0 2 1
2 1 0
2 2 0
0 2 0
1 1 0
2 0 2
2 1 2
1 2 0
10 8
0 1 1
2 2 2
2 0 0
0 0 2
1 0 0
0 1 0
1 1 2
2 2 1
2 0 2
1 2 0
10 2
3 2 1
3 3 0
1 3 3
2 2 0
0 0 3
1 1 0
1 0 0
1 0 3
0 0 0
1 3 1
10 7
0 3 0
3 3 3
0 1 3
2 3 1
2 2 2
1 1 0
2 2 3
0 3 1
0 0 2
2 3 3
10 6
1 1 0
2 2 1
1 0 2
0 0 2
0 0 1
0 2 0
0 1 1
2 2 3
1 3 1
2 0 3
10 5
2 1 1
0 3 0
3 2 0
1 3 0
1 1 1
1 3 2
0 0 1
1 3 3
2 0 0
0 0 2
10 5
1 2 2
0 1 1
1 0 1
3 2 1
1 1 0
2 2 3
3 0 2
0 1 3
1 2 1
3 3 3
10 4
1 0 0
1 2 2
1 2 0
1 1 0
2 1 2
1 0 2
0 1 1
0 2 2
2 2 1
0 2 0
10 9
2 0 0
2 0 2
0 0 1
0 0 0
1 2 2
1 1 0
1 1 1
2 0 1
1 2 1
0 1 1
10 3
0 1 1
1 0 0
0 1 2
2 0 2
2 2 1
2 2 2
1 2 2
2 1 1
0 0 1
2 1 0
10 5
1 1 2
1 0 0
1 1 1
1 1 0
1 2 1
1 2 0
0 0 1
2 2 2
0 1 1
2 1 2
10 3
2 2 1
2 0 0
1 1 1
0 1 0
1 2 2
0 2 2
2 2 2
2 0 1
0 0 0
0 2 1
10 7
3 2 3
2 1 0
0 2 3
0 1 2
1 2 3
1 1 1
3 3 0
2 0 2
1 1 0
1 3 1
10 4
2 1 2
3 3 2
0 2 1
2 1 1
2 0 2
0 3 0
3 3 3
2 2 2
0 1 1
3 2 3
10 4
2 3 0
0 0 2
3 2 1
1 1 2
2 2 3
1 1 3
1 2 2
1 3 2
2 1 3
2 0 3
10 5
2 1 1
1 0 2
1 1 2
2 2 0
0 1 1
2 0 0
2 2 2
0 0 1
1 0 1
2 0 2
10 9
2 1 1
2 1 2
0 2 0
1 2 2
1 0 2
2 2 0
0 1 0
2 0 0
1 2 1
2 0 1
10 5
0 1 1
1 0 2
1 2 2
2 2 2
1 1 0
1 2 1
1 1 1
2 0 1
2 0 2
2 0 0
10 5
0 1 1
2 0 2
0 0 2
0 0 0
1 2 1
2 2 2
0 2 2
0 1 0
2 0 1
2 2 0
10 9
1 2 0
0 1 0
1 0 1
0 0 2
0 0 0
2 0 1
1 1 2
0 0 1
2 1 2
2 2 2
10 7
1 1 1
0 3 2
3 2 3
3 0 0
3 0 2
0 3 0
1 0 0
1 2 2
1 1 2
0 0 2
10 5
0 3 0
0 0 0
2 1 1
0 0 3
1 2 1
2 0 0
2 0 2
0 1 1
0 2 1
0 3 3
10 6
1 2 0
1 0 0
1 1 0
0 1 1
2 1 2
2 1 1
0 2 1
2 2 2
0 2 0
1 2 1
10 8
0 2 1
1 0 0
2 0 2
1 2 1
2 1 2
2 2 2
0 1 0
1 2 2
1 2 0
1 1 1
10 9
3 0 0
2 2 1
0 1 3
0 2 0
3 1 1
0 1 2
1 3 1
1 2 0
1 2 1
1 0 3
10 3
2 1 1
1 0 0
0 2 0
0 0 0
2 0 2
1 0 2
2 1 0
0 1 2
0 0 1
2 1 2
10 3
0 2 1
3 1 1
0 1 0
3 2 0
3 0 0
3 3 3
1 3 0
0 3 0
0 1 2
1 0 3
10 6
2 1 2
2 2 1
1 1 2
1 0 2
0 1 1
1 2 0
1 2 2
0 1 2
2 2 2
2 1 1
10 7
1 1 1
0 1 0
0 0 2
0 0 0
2 2 2
1 1 2
2 1 1
2 0 2
0 1 1
0 2 2
10 3
0 2 2
0 1 1
2 0 0
2 2 2
2 2 0
0 0 2
1 2 2
2 1 0
0 0 0
2 1 1
10 9
3 1 0
2 2 3
3 3 1
3 3 3
1 3 3
3 0 2
1 0 3
1 2 3
0 3 3
1 0 2
10 4
0 2 2
1 0 0
0 2 1
1 0 2
2 1 1
0 1 0
0 1 1
0 1 2
0 0 1
0 0 0
10 5
1 3 2
2 2 1
1 1 0
2 2 2
2 2 3
2 1 0
1 0 1
1 0 3
0 0 1
1 2 1
10 6
0 1 1
1 0 1
0 0 2
0 0 1
1 2 2
2 1 1
2 0 1
0 2 2
1 2 0
1 0 2
10 7
1 0 1
1 2 0
0 1 2
2 1 0
0 2 0
0 0 2
0 1 1
0 2 2
1 1 2
2 0 0
10 2
0 0 0
1 1 2
2 1 0
2 2 0
0 1 2
0 2 0
1 2 1
1 0 2
2 2 2
0 0 1
10 9
2 2 2
0 2 2
2 0 0
1 2 0
2 0 2
0 1 1
0 1 0
0 2 1
1 0 1
1 0 0
10 5
0 1 0
2 2 2
2 1 2
2 0 2
1 2 1
0 1 1
1 1 1
1 2 0
0 2 2
0 0 1
10 9
0 3 2
2 0 0
2 2 2
3 2 1
3 0 2
3 1 1
2 2 3
3 3 2
2 1 2
0 0 0
10 9
2 2 0
0 1 1
1 2 1
0 0 0
0 2 0
0 2 2
2 1 0
1 0 2
2 1 1
0 1 2
10 2
0 3 0
2 0 2
3 1 2
2 2 2
2 1 1
2 2 0
2 1 0
2 2 1
1 3 2
0 2 2
10 4
0 3 1
1 1 1
1 1 0
2 1 1
2 1 3
3 3 3
2 3 0
0 0 1
1 2 0
1 2 2
10 2
2 0 0
0 0 2
0 1 0
0 0 1
1 0 2
1 0 0
0 1 1
2 1 2
1 1 2
1 1 1
10 5
0 3 1
3 1 0
3 2 1
1 0 1
1 3 1
2 3 0
3 0 1
3 0 2
3 3 2
0 1 0
10 5
0 0 0
3 3 0
2 2 2
2 0 0
3 3 3
3 0 3
2 0 2
1 1 0
2 1 2
2 2 0
10 7
1 3 2
0 2 2
3 0 0
2 3 2
3 1 0
0 1 3
3 2 1
0 2 0
2 0 2
2 2 0
10 6
0 0 1
2 2 1
2 0 1
1 0 2
0 0 0
0 1 2
2 1 2
0 2 2
1 2 0
1 2 1
10 7
3 0 1
3 2 1
1 3 3
2 2 0
0 3 2
3 2 2
1 0 0
2 2 2
3 3 1
3 0 2
10 3
0 0 3
0 2 0
2 1 1
2 0 0
1 3 0
1 3 2
1 2 2
3 0 3
1 1 1
1 1 0
10 8
2 2 3
2 0 1
0 2 2
0 2 3
0 3 2
3 1 3
3 3 2
3 2 1
3 0 1
2 1 0
10 6
3 2 2
0 3 0
0 2 3
1 3 3
1 0 3
2 1 2
3 1 2
0 3 2
0 0 0
2 1 0
10 4
3 1 2
0 1 0
0 0 3
1 2 3
1 0 0
0 3 2
3 2 0
1 2 1
1 1 2
3 3 2
10 9
3 3 2
0 1 1
2 1 1
2 3 1
1 0 0
2 0 2
0 2 1
2 1 0
1 1 3
1 1 2
10 9
1 1 0
1 1 2
0 2 1
2 2 2
2 1 1
0 0 1
1 0 1
1 1 1
0 2 0
2 2 0
10 2
2 0 1
0 0 1
1 0 0
2 2 2
2 1 1
2 0 0
0 2 0
1 1 1
0 1 2
1 2 0
10 6
2 0 3
3 2 0
2 0 2
1 0 1
1 3 2
3 1 3
2 3 2
0 3 2
3 0 2
0 2 0
10 7
0 1 0
1 2 1
0 2 0
1 0 2
1 0 1
2 1 1
2 0 1
1 1 0
0 0 2
0 1 1
10 9
1 1 1
1 3 0
2 2 1
2 1 2
2 0 0
2 1 0
2 2 0
1 0 0
0 1 0
0 1 3
10 2
3 2 2
1 3 2
2 3 1
0 0 3
2 0 1
2 3 2
1 0 0
0 2 1
3 1 1
3 0 2
10 7
0 2 1
0 1 2
0 0 0
2 2 2
1 1 2
0 0 1
1 2 0
2 0 1
1 1 0
2 0 2
10 8
0 2 1
0 1 2
3 1 3
2 1 0
3 2 2
3 2 3
3 3 2
1 1 0
1 1 3
0 1 0
10 3
2 0 2
0 0 1
2 1 1
2 1 2
0 1 0
0 0 2
1 2 0
2 0 0
2 1 0
0 2 2
10 8
0 1 2
1 0 1
2 2 1
1 0 2
2 1 0
1 2 2
0 1 0
1 0 0
1 1 0
0 0 2
10 8
0 1 0
1 2 1
1 2 0
2 0 0
0 0 1
2 0 1
1 0 0
1 2 2
2 0 2
0 2 2
10 2
1 0 2
1 1 0
2 2 2
0 0 2
0 2 0
0 1 1
2 1 1
1 0 1
2 0 2
2 2 0
10 3
1 1 0
0 1 1
2 2 1
2 2 0
0 0 2
2 1 2
0 0 1
2 0 1
2 0 2
2 1 1
10 5
0 2 3
2 1 1
2 0 2
2 3 2
0 0 1
1 2 2
2 1 2
1 2 0
0 1 3
0 1 2
10 9
3 2 1
2 3 0
1 3 3
3 0 3
3 3 3
2 3 2
2 2 3
3 1 3
3 0 1
1 0 0
10 7
1 2 2
2 3 2
3 0 1
2 1 1
3 0 3
1 1 1
2 0 3
3 1 2
0 1 2
3 2 1
10 3
1 0 2
0 1 2
0 2 0
2 0 0
2 0 1
1 1 1
1 2 0
2 1 2
1 1 2
2 2 1
10 5
0 1 1
0 0 2
1 0 2
2 1 1
2 0 0
1 0 1
1 2 2
1 1 1
0 1 0
2 2 2
10 3
1 1 2
0 0 2
0 0 1
1 2 2
2 1 0
1 2 0
0 1 0
2 2 0
1 1 1
1 0 0
10 7
0 3 1
2 2 2
3 3 1
2 0 2
0 3 2
1 3 1
3 3 0
2 0 0
1 2 1
0 3 0
10 9
0 1 2
0 2 2
2 1 1
2 1 2
1 0 2
2 2 0
2 0 1
2 2 2
2 1 0
0 0 1
10 8
3 0 0
2 0 2
2 1 2
0 0 0
2 3 0
3 2 1
2 2 2
3 1 1
0 3 1
0 2 1
10 6
2 2 3
1 1 0
1 0 0
0 3 2
2 3 0
1 1 1
3 3 0
0 0 3
3 1 0
3 3 3
10 6
1 2 1
2 1 1
1 2 2
1 1 1
2 0 2
0 1 0
2 2 0
2 1 2
2 0 1
1 2 0
10 9
1 1 2
2 2 0
2 0 0
0 0 2
0 2 1
2 2 1
1 0 1
2 1 1
1 2 0
2 0 2
10 8
2 1 2
2 2 0
2 2 1
0 1 2
1 2 2
1 0 0
2 1 1
0 2 2
2 1 0
2 0 1
10 9
0 1 2
0 1 0
0 2 2
0 0 2
2 1 2
1 0 1
1 0 0
1 2 2
2 1 0
1 1 2
10 5
1 0 2
0 1 3
3 3 2
3 2 3
1 1 3
0 2 2
3 2 1
1 1 1
1 1 2
0 3 2
10 2
0 0 0
0 0 1
2 2 1
0 1 1
2 1 1
1 0 1
1 1 2
0 2 1
2 0 1
1 2 2
10 9
1 2 1
1 2 2
1 1 0
0 1 2
2 2 1
2 1 1
0 1 1
2 0 2
1 0 2
0 2 0
10 2
1 1 0
2 1 0
2 2 1
1 1 3
0 2 2
0 1 0
2 0 2
1 3 2
2 0 3
2 3 0
10 3
0 1 0
1 2 0
0 2 2
1 2 1
1 0 0
0 0 0
0 2 1
0 2 0
2 1 0
2 2 0
10 2
0 1 2
2 0 0
1 2 0
2 1 2
0 1 1
0 2 1
2 2 2
0 0 1
1 0 2
1 1 1
10 6
0 1 2
2 2 0
0 2 2
1 1 2
0 2 0
1 2 2
2 1 2
1 0 1
2 1 1
1 0 0
10 7
1 0 2
0 2 2
0 1 2
2 2 2
0 1 1
2 1 0
2 1 1
2 0 1
2 0 0
1 1 1
10 6
0 2 0
2 3 1
0 3 3
3 1 3
0 1 1
1 0 2
3 2 3
3 0 1
0 0 2
1 2 1
10 6
3 2 1
0 0 3
0 2 3
0 1 2
0 2 2
1 2 0
2 1 1
2 2 3
2 0 3
0 3 1
10 4
2 0 1
2 0 2
3 0 1
0 3 2
0 0 3
1 2 1
1 0 3
3 0 2
2 2 3
2 1 2
10 2
3 0 2
3 2 3
1 1 0
1 3 2
2 3 3
2 1 3
1 0 2
2 2 3
2 0 1
0 1 3
10 3
0 0 3
2 1 0
2 1 3
2 3 3
0 0 0
1 3 0
0 3 3
3 3 0
1 1 1
3 3 1
10 8
3 2 2
0 3 2
0 0 2
2 3 3
2 3 2
1 0 0
3 3 2
1 1 2
3 3 3
2 1 1
10 5
2 2 0
2 2 2
2 1 2
0 0 1
2 0 2
2 0 0
1 1 2
1 0 2
2 1 0
0 2 1
10 2
1 2 1
0 1 0
0 0 2
1 1 0
1 2 2
0 1 1
0 1 2
0 2 2
1 0 2
2 1 0
10 3
0 2 0
1 1 3
1 0 2
3 1 1
1 3 0
0 3 1
0 1 2
0 1 1
1 0 0
2 0 0
10 2
3 1 2
2 2 2
3 0 2
2 2 0
3 2 2
0 0 0
1 2 1
2 0 2
2 0 1
3 3 1
10 3
1 1 1
0 1 0
0 0 2
2 2 2
1 2 0
0 2 1
2 2 1
1 2 2
2 1 2
1 2 1
10 5
2 0 3
2 0 2
2 1 0
1 2 3
2 1 2
2 1 3
0 2 0
2 2 0
0 0 1
0 3 3
10 6
1 0 3
0 0 3
0 3 0
3 0 3
0 0 1
3 3 2
2 3 3
0 3 1
3 2 0
1 1 1
10 9
2 1 1
2 0 0
1 2 1
1 1 1
0 2 0
2 2 2
1 0 0
1 2 2
0 2 2
2 1 2
10 7
1 0 2
2 2 0
1 1 2
0 1 2
2 2 1
2 0 2
2 1 2
1 2 2
0 2 1
2 0 1
10 6
2 0 1
2 2 1
0 1 1
2 0 0
1 0 2
1 1 2
0 1 2
1 2 2
0 0 0
1 1 1
10 7
2 2 0
1 0 1
2 1 0
1 1 2
0 0 0
0 0 1
1 2 1
1 2 2
0 1 1
2 0 1
10 7
3 3 3
2 3 2
1 3 2
0 2 1
2 0 3
3 0 3
3 0 0
2 0 0
2 1 1
1 2 2
10 8
2 1 0
1 1 1
1 0 1
0 1 2
2 0 1
1 0 2
2 2 1
2 0 2
0 0 0
1 2 2
10 2
1 2 2
0 2 0
2 1 0
0 1 0
0 2 2
1 0 2
1 1 1
1 2 1
0 0 2
1 1 0
10 3
1 0 0
1 2 1
1 1 0
0 2 2
2 2 0
2 1 1
0 1 0
2 1 2
2 0 2
2 2 2
10 9
2 1 2
0 0 1
0 2 2
1 1 2
0 2 0
2 1 0
2 2 0
0 1 0
1 1 0
2 1 1
10 5
2 2 1
1 0 2
0 2 1
2 2 0
1 1 2
2 0 0
1 2 2
2 1 0
2 0 2
2 1 1
10 6
2 3 2
1 1 0
2 2 0
2 1 3
0 3 3
2 2 3
2 0 2
0 1 3
0 1 2
0 2 0
10 6
1 3 1
0 1 1
3 2 1
0 2 3
0 1 0
2 2 1
2 1 2
2 3 0
0 3 0
1 0 0
10 7
0 0 1
2 0 0
1 0 1
0 2 2
1 2 0
0 2 1
1 0 0
1 2 1
2 1 2
0 1 2
10 5
2 3 3
0 1 3
0 3 3
3 2 3
0 2 1
2 3 1
3 0 1
0 0 0
2 3 2
2 1 3
10 5
2 1 2
1 1 1
1 2 1
0 0 2
0 1 2
1 2 2
0 0 0
2 2 1
1 0 2
2 0 0
10 2
2 2 2
0 0 1
0 2 2
0 1 0
1 1 2
1 2 1
0 1 2
0 2 0
0 1 1
2 2 0
10 3
0 0 0
1 1 1
2 1 1
2 0 0
0 1 1
2 0 2
2 1 0
0 0 2
2 1 2
1 0 0
10 3
2 1 2
0 2 2
1 3 1
2 2 3
3 3 2
0 1 3
1 1 2
2 0 1
1 2 1
0 1 2
10 8
1 3 3
1 2 2
1 1 2
2 2 1
1 0 2
3 0 0
3 1 0
3 2 1
0 2 1
0 1 1
10 6
3 3 2
3 1 2
0 0 3
1 1 0
2 0 1
1 2 0
1 3 2
2 3 1
0 3 2
3 1 0
10 4
2 0 2
0 0 0
0 0 1
1 1 1
2 2 2
1 2 1
0 2 1
0 2 0
1 0 0
1 0 1
10 6
2 1 1
0 1 0
2 3 3
1 3 1
2 0 1
0 2 0
2 2 3
3 3 2
1 0 0
3 1 0
10 5
1 1 1
2 3 1
0 3 2
2 0 1
0 1 0
0 0 1
3 2 0
2 1 2
0 3 0
2 2 0
10 6
3 3 1
1 3 3
0 0 2
2 1 1
2 2 3
1 1 2
1 1 0
0 2 0
2 1 3
3 0 3
10 7
0 2 2
0 0 2
2 0 2
2 2 1
1 1 1
1 2 0
2 1 1
1 1 2
0 1 2
0 2 0
10 6
2 2 0
1 0 0
0 0 1
0 1 1
0 3 2
2 1 2
1 1 0
3 3 1
2 2 1
3 1 3
10 7
1 1 2
0 2 3
3 2 2
1 2 0
0 0 1
0 1 0
3 1 3
2 0 2
1 0 2
0 2 2
10 2
0 2 3
3 1 0
3 2 2
1 2 1
2 0 2
0 2 2
0 2 1
1 0 1
2 1 0
0 1 0
10 8
0 2 2
0 1 1
1 2 1
0 2 0
0 1 0
2 0 1
2 1 2
2 2 2
1 1 0
1 2 0
10 3
2 3 3
2 0 2
0 3 2
0 3 0
1 0 3
3 2 3
3 3 0
2 2 3
2 2 2
1 2 1
10 7
1 2 3
2 1 3
3 2 2
0 2 2
2 2 2
1 0 2
3 0 3
3 3 0
3 2 0
0 0 3
10 2
1 2 0
1 2 1
1 1 0
2 0 0
0 2 0
0 2 2
1 1 1
1 1 2
0 0 1
1 0 1
10 8
0 0 0
0 1 1
1 2 1
1 1 0
0 1 2
0 0 1
2 0 1
1 2 0
1 0 2
0 2 0
10 5
1 0 1
2 1 0
0 2 1
0 0 0
0 1 1
1 0 0
1 1 2
1 0 2
2 0 2
0 0 2
10 9
2 3 0
0 1 1
2 2 2
0 2 2
2 0 3
1 2 1
1 1 0
0 1 3
1 3 3
3 2 1
10 5
2 1 0
2 2 0
0 0 1
2 0 2
0 0 0
1 0 2
0 0 2
2 2 1
0 2 2
0 1 1
10 5
0 2 1
0 0 1
1 1 2
2 1 1
2 2 1
2 0 0
0 2 0
0 0 2
1 0 1
1 1 1
10 2
3 2 3
0 3 2
3 0 0
2 0 1
1 0 1
3 2 2
1 3 1
0 1 1
0 3 3
0 2 1
10 7
2 0 1
0 1 0
0 0 2
1 2 0
1 0 1
1 2 2
0 0 1
0 2 0
2 1 2
2 0 0
10 2
0 1 2
0 0 1
1 1 1
0 0 0
2 2 2
1 0 0
2 1 2
1 0 2
1 1 0
0 2 0
10 7
1 3 0
1 3 3
2 2 2
0 0 3
1 1 2
0 1 3
2 2 3
1 3 1
2 3 1
0 3 2
10 3
1 2 0
0 1 0
2 1 1
0 2 0
1 0 0
0 1 2
0 0 1
2 2 0
1 2 1
1 0 2
10 2
1 2 3
2 2 0
1 1 1
3 2 1
1 3 1
2 0 3
1 2 2
2 2 3
0 2 2
3 2 3
10 3
3 3 0
0 3 0
2 3 2
0 2 2
3 2 0
2 2 3
3 0 3
2 0 3
2 2 0
0 1 2
10 9
1 2 1
1 1 0
0 2 1
2 0 1
2 2 2
2 1 0
0 1 0
1 1 2
2 1 1
0 2 0
10 4
2 2 3
0 0 1
0 2 2
3 1 1
3 0 0
3 0 2
3 1 3
1 2 0
1 0 0
3 1 0
10 2
1 1 0
2 0 0
1 2 2
0 1 2
1 1 2
0 2 1
2 1 1
1 2 0
2 0 2
2 0 1
10 9
2 2 1
1 0 2
2 2 2
1 0 0
1 2 0
1 2 1
2 2 0
0 1 2
0 0 2
1 1 2
10 3
1 3 1
0 1 2
2 2 0
1 0 3
2 1 0
2 0 3
0 1 3
1 2 1
1 1 2
3 1 1
10 4
1 1 1
0 2 0
2 0 0
2 2 0
0 2 1
3 3 1
0 0 2
0 1 0
0 1 2
2 1 0
10 4
1 0 1
1 2 1
2 0 2
2 2 2
1 0 0
1 1 1
2 0 0
1 1 2
2 1 2
1 1 0
10 4
0 0 2
1 2 3
1 3 3
3 2 3
2 1 0
0 3 3
1 0 3
2 0 2
2 3 1
1 0 0
10 7
2 1 0
2 1 2
2 0 2
0 2 2
2 0 1
1 2 2
2 1 1
1 2 1
0 0 1
2 0 0
10 7
1 1 1
0 1 1
2 1 2
1 0 0
2 1 0
1 2 2
0 2 1
0 2 2
1 0 2
2 2 0
10 8
2 0 2
0 0 1
1 2 2
2 2 2
0 1 2
1 1 2
0 2 2
0 2 1
2 0 0
2 1 0
10 7
2 0 1
1 1 2
2 1 1
2 0 0
2 1 2
2 2 0
0 0 0
2 0 2
1 2 1
0 1 0
10 4
1 1 2
0 3 3
3 3 3
2 0 3
3 3 0
2 1 1
0 2 0
1 2 0
2 0 0
2 1 2
10 7
0 1 1
2 3 0
1 0 0
2 0 1
3 0 1
2 0 3
1 3 3
0 2 2
3 3 1
0 1 2
10 5
2 0 2
0 2 1
0 2 0
2 1 0
2 2 2
0 2 2
2 2 0
1 0 0
1 1 0
1 2 2
10 7
0 0 3
1 2 1
0 1 3
2 3 1
0 3 1
0 0 0
1 0 1
3 1 1
3 3 2
2 0 0
10 2
1 0 0
1 1 2
2 3 3
3 0 2
1 3 2
3 0 0
0 0 0
2 3 2
3 1 0
1 3 1
10 5
1 3 2
3 0 3
2 0 1
0 2 2
3 3 1
2 0 3
3 2 2
3 3 3
1 0 3
2 0 0
10 9
0 0 2
2 0 0
2 0 1
0 2 1
1 0 2
1 1 0
1 1 2
0 2 2
1 2 0
1 1 1
10 4
1 3 3
0 2 3
0 2 0
0 1 3
2 2 1
3 1 2
0 0 1
0 0 3
0 1 0
3 3 1
10 6
1 0 0
2 1 0
0 1 2
2 2 1
2 0 0
1 0 2
0 2 1
3 0 0
1 1 1
3 2 3
10 3
0 3 2
0 2 1
3 2 1
0 1 2
2 0 0
0 2 2
0 1 3
1 3 1
0 1 0
1 0 2
10 9
3 1 2
0 1 3
2 1 2
1 0 2
0 0 3
0 3 1
3 2 2
3 2 3
0 2 1
0 3 3
10 6
2 2 0
0 0 0
1 1 3
0 1 2
0 2 0
3 3 0
2 3 3
2 0 2
0 2 2
3 0 0
10 9
0 1 1
1 1 2
2 1 0
0 1 2
2 2 0
2 0 1
1 1 0
2 2 2
0 0 0
0 1 0
10 3
0 1 2
0 1 0
0 0 1
1 1 2
2 2 2
0 0 0
2 0 0
1 1 1
2 2 0
2 2 1
10 6
1 1 2
1 3 0
3 3 0
0 1 3
2 0 1
1 3 3
2 2 0
3 2 3
2 0 3
2 2 3
10 2
1 2 2
0 0 2
2 1 0
1 2 0
2 3 0
3 0 0
1 2 1
2 1 3
0 3 0
0 1 3
10 7
2 1 2
0 0 0
2 1 1
2 2 0
2 0 2
2 2 2
1 2 1
1 1 0
1 1 2
1 0 1
10 4
0 0 3
1 3 2
1 2 3
0 3 1
1 2 1
2 1 3
0 3 3
2 2 1
3 2 0
3 3 1
10 4
1 0 3
3 2 2
3 1 2
3 2 0
0 2 0
3 0 3
2 2 1
0 1 3
2 3 2
0 0 2
10 5
3 0 1
3 1 2
1 3 3
3 3 2
1 0 1
2 0 2
3 2 0
2 1 0
1 2 3
0 3 3
10 3
0 2 0
1 0 0
3 1 2
1 3 3
1 3 1
2 0 2
1 0 2
3 1 3
1 3 2
1 1 1
10 2
2 2 2
2 0 0
0 1 2
1 0 1
1 2 2
0 0 0
2 1 1
1 0 0
1 2 1
2 0 2
10 4
0 2 0
1 0 1
2 0 2
0 0 1
2 2 1
1 1 1
1 1 0
2 1 2
2 2 2
2 1 0
10 2
2 1 0
1 1 0
2 2 0
0 1 1
0 0 1
0 1 0
0 0 0
2 1 2
2 0 0
1 2 0
10 5
1 3 1
3 2 2
3 0 0
0 1 1
1 0 1
3 1 0
2 1 2
3 2 1
0 0 0
0 1 3
10 9
1 1 1
0 2 1
2 2 3
2 2 2
1 2 2
2 2 0
0 1 0
0 0 3
0 0 2
1 0 2
10 7
3 1 3
1 3 3
3 1 1
3 2 0
1 0 1
3 0 3
1 2 0
2 0 2
0 3 2
3 1 0
10 5
0 0 2
2 1 2
1 0 0
2 0 0
2 1 0
1 2 2
0 2 2
0 1 2
2 1 1
2 2 2
10 2
2 0 0
2 1 2
2 0 3
2 3 0
2 2 0
1 2 1
3 2 2
0 1 3
3 2 0
0 1 0
10 5
0 2 2
0 1 2
0 1 0
1 0 2
1 1 0
0 0 1
0 0 0
0 2 1
1 1 2
1 2 0
10 9
2 0 1
1 1 0
0 3 1
0 3 3
1 0 3
3 1 0
0 2 2
1 3 2
2 2 1
3 3 0
10 7
1 1 2
0 2 1
0 1 1
2 1 3
1 2 0
1 3 0
3 3 1
0 0 0
2 2 0
2 1 2
10 5
2 2 2
2 0 2
2 1 2
0 1 1
0 1 0
0 2 2
0 1 2
1 2 2
0 0 0
2 0 1
10 9
2 1 0
0 1 1
0 0 0
2 0 1
0 2 1
1 1 1
2 0 2
2 1 1
1 2 1
2 1 2
10 8
2 0 0
3 1 0
0 3 1
2 1 0
0 2 1
1 1 1
2 2 2
1 3 3
3 2 3
2 0 2
10 3
1 2 0
2 1 1
1 1 0
1 1 2
2 0 0
0 1 2
2 2 0
2 1 2
2 1 0
1 2 2
10 4
1 3 1
2 0 3
1 2 1
2 0 1
0 1 2
0 2 2
0 3 2
0 1 0
0 0 1
3 3 0
10 4
0 0 2
0 2 2
0 1 2
0 2 0
2 0 2
2 2 2
1 1 0
2 1 1
2 0 1
0 1 0
10 2
3 1 0
0 1 3
3 1 2
3 3 0
2 3 3
0 0 2
3 2 0
1 1 2
2 2 2
0 0 0
10 6
1 2 2
1 2 0
2 1 2
2 0 2
1 1 2
0 2 1
2 0 1
2 1 0
1 0 1
0 0 2
10 9
2 3 2
2 0 1
3 2 0
0 2 0
1 1 0
2 1 2
0 1 1
2 3 3
0 1 3
2 0 2
10 5
2 2 2
0 1 2
1 0 0
0 1 0
1 2 2
2 1 0
1 0 2
2 1 1
0 0 0
0 1 1
10 6
1 0 0
2 0 0
2 2 1
2 2 0
2 1 2
0 1 0
0 2 2
2 1 1
1 1 0
0 1 2
10 2
1 0 0
2 0 2
2 0 0
0 0 0
2 2 2
2 2 0
2 0 1
0 2 2
2 1 1
2 1 2
10 6
2 2 0
3 1 2
2 3 2
3 2 3
1 1 3
3 2 1
3 0 0
1 2 2
1 0 3
0 3 0
10 5
1 2 2
1 1 0
0 0 2
0 2 1
1 1 2
0 2 0
1 2 1
0 1 2
2 2 2
1 2 0
10 3
0 3 2
1 0 1
2 3 3
2 2 0
0 1 2
0 0 2
3 2 0
2 0 0
1 2 1
2 3 1
10 8
2 3 1
3 0 3
0 3 1
0 1 2
2 3 2
0 1 0
1 3 2
0 1 1
1 2 2
1 0 1
10 9
1 1 1
2 0 3
0 0 0
1 0 3
0 0 3
2 2 3
0 1 2
0 0 2
2 1 2
1 1 2
10 7
0 1 1
1 2 1
0 1 2
0 2 0
2 0 2
1 0 2
1 0 1
0 0 0
1 1 1
2 0 0
10 4
3 3 3
2 0 0
1 1 2
2 2 1
2 3 0
0 1 0
2 0 1
3 0 1
0 3 0
1 3 3
10 2
1 2 1
1 1 0
0 2 0
1 1 2
2 1 0
0 0 1
2 2 2
1 1 1
1 0 0
2 0 0
10 9
1 2 1
0 1 2
3 2 1
0 1 1
0 2 1
1 0 1
3 3 2
0 0 1
3 1 3
1 1 2
10 7
0 1 1
1 2 0
2 2 1
1 0 1
1 1 0
1 2 1
2 1 2
2 1 0
2 2 0
0 0 2
10 5
2 1 0
0 3 1
0 0 3
0 0 1
0 0 0
2 2 0
0 2 2
3 1 0
0 1 0
0 2 1
10 8
0 0 2
1 2 0
0 0 0
2 0 2
0 1 2
1 1 2
0 2 2
2 0 1
1 0 0
2 1 2
10 9
0 2 2
0 0 1
0 2 0
1 2 1
2 2 2
2 2 0
2 0 2
2 2 1
0 1 1
1 0 2
10 8
1 2 2
2 0 1
0 2 0
1 1 2
2 1 0
2 0 0
2 0 2
1 1 0
0 0 2
1 0 2
10 7
2 2 0
1 2 2
0 1 0
2 0 2
0 0 2
0 0 1
1 0 1
2 1 2
0 1 2
1 2 1
10 2
0 1 0
2 2 1
1 2 1
1 1 0
0 2 1
0 1 1
1 0 1
2 0 2
2 0 0
2 1 0
10 8
0 0 0
1 0 0
1 1 2
1 1 0
1 2 2
2 1 0
0 0 2
0 2 2
0 0 1
1 2 1
10 3
2 0 1
1 3 0
1 2 1
2 1 0
2 0 3
0 3 1
3 1 3
0 0 1
1 3 1
1 3 2
10 8
2 0 2
2 2 1
0 1 2
2 2 0
0 1 0
1 2 2
0 2 1
2 1 2
0 2 0
0 0 2
10 9
0 1 2
1 2 1
1 1 1
0 2 0
2 1 2
1 1 2
0 1 1
0 1 0
0 0 0
1 0 2
10 3
1 1 2
0 0 1
2 2 1
2 0 2
0 0 2
2 1 1
1 1 1
1 0 0
1 0 1
0 1 0
10 5
0 0 2
1 0 1
2 1 0
2 0 1
0 2 2
2 0 0
1 2 1
0 1 0
0 0 1
0 2 0
10 4
1 2 2
1 1 2
0 0 2
1 2 3
3 3 2
3 0 1
3 3 3
2 0 0
3 2 3
0 1 3
10 9
0 0 1
1 1 0
0 1 2
2 2 2
2 1 1
1 1 2
0 0 0
0 0 2
1 0 2
0 2 2
10 3
2 2 1
1 0 2
1 2 1
0 1 0
0 1 1
2 1 1
2 1 2
2 1 0
1 0 0
1 2 2
10 2
0 1 2
3 1 2
2 1 3
1 3 2
1 1 0
0 1 0
1 3 0
1 2 2
2 1 0
2 3 3
10 6
2 2 2
0 2 1
0 0 0
0 1 0
1 2 2
0 0 2
2 2 0
0 1 2
0 1 1
2 0 0
10 9
2 0 1
2 1 1
1 2 0
2 1 2
0 0 0
1 1 1
0 1 0
1 0 2
1 1 0
1 0 0
10 5
2 2 0
0 1 1
0 0 0
2 2 2
1 1 2
0 2 0
0 1 2
1 2 0
2 2 1
1 2 1
10 2
0 0 2
0 1 2
2 0 0
2 2 0
2 2 2
2 0 1
1 1 2
1 1 0
1 2 0
2 1 1
10 4
0 1 0
2 1 1
2 3 3
3 1 0
2 3 0
2 3 1
3 1 2
1 0 1
1 2 3
0 0 1
10 8
0 2 2
1 1 1
1 0 0
2 1 0
2 1 2
0 1 0
2 1 1
2 0 1
1 1 2
2 2 2
10 8
0 0 2
1 2 0
2 0 0
0 2 0
0 2 2
2 2 0
1 1 1
2 0 1
2 1 0
0 1 2
10 5
2 0 0
3 1 0
1 0 2
1 0 0
3 0 1
1 0 3
2 2 2
3 2 1
0 0 1
2 2 0
10 6
2 2 2
2 1 2
0 0 2
1 1 2
1 2 0
2 1 0
0 2 2
1 1 1
0 0 1
2 2 1
10 5
0 2 1
2 1 1
1 1 0
1 1 2
2 2 0
0 0 2
2 0 0
2 1 2
1 2 2
1 2 1
10 9
2 0 0
1 0 1
1 0 0
1 1 1
1 2 1
2 2 2
2 0 2
2 1 2
2 1 0
0 1 2
10 7
1 0 0
0 0 1
0 2 1
3 2 0
0 1 1
0 2 2
0 1 2
1 3 3
3 1 0
1 2 0
10 6
0 1 1
1 1 1
1 3 0
1 0 0
0 0 0
3 3 2
2 0 1
1 0 2
2 0 2
1 3 2
10 4
2 2 2
3 1 1
2 1 1
2 3 0
2 3 2
0 0 2
2 0 3
1 1 3
2 1 0
3 3 3
10 4
2 0 0
2 1 1
2 0 1
0 1 1
1 2 2
1 0 2
2 2 2
1 0 1
2 0 2
0 0 1
10 9
2 2 2
0 0 1
1 1 0
2 0 1
2 1 0
2 1 2
2 2 1
1 1 1
1 2 0
1 1 2
10 7
2 2 0
1 0 1
2 1 1
0 1 0
0 1 2
0 0 1
2 1 0
0 2 1
0 0 2
2 2 1
10 8
0 0 0
2 1 0
0 2 0
1 2 2
2 0 2
0 2 1
2 0 1
0 1 0
1 0 0
0 0 2
10 6
0 0 3
0 3 3
1 3 1
2 0 1
2 2 3
0 1 0
2 0 0
0 3 0
0 1 2
3 1 2
10 3
2 2 0
1 1 2
1 2 2
0 1 2
2 0 2
0 1 1
1 0 0
2 2 2
1 0 2
1 2 0
10 3
2 0 3
2 2 2
2 0 0
0 1 3
1 1 3
3 1 2
1 3 0
1 0 1
0 1 2
1 3 3
10 6
1 1 0
2 2 1
2 1 3
2 2 2
3 2 3
1 3 1
3 1 1
1 0 2
3 2 2
3 0 3
10 7
1 0 0
3 1 2
3 2 0
0 2 1
0 0 2
2 1 2
2 0 3
1 0 3
3 1 0
2 1 3
10 7
3 3 2
2 1 0
0 0 2
1 3 1
1 0 2
3 0 1
1 2 2
3 2 1
2 3 1
2 0 0
10 8
0 0 0
0 1 2
1 0 2
0 1 1
1 0 0
1 2 0
2 1 2
2 2 2
1 2 1
0 0 1
10 3
2 1 3
0 0 1
0 2 2
0 0 2
2 1 2
1 3 3
3 3 3
2 3 3
2 2 2
0 1 3
10 2
0 1 1
1 1 2
1 1 1
0 2 1
1 0 1
1 0 0
2 2 1
1 0 2
0 1 2
2 2 2
10 6
1 2 2
2 2 2
2 0 0
2 2 1
2 0 1
0 3 3
1 0 0
1 1 1
0 1 1
2 1 1
10 6
3 0 2
1 0 0
2 1 0
2 2 2
1 3 1
2 0 0
0 3 0
3 2 3
0 2 1
3 3 3
10 2
0 2 1
2 0 1
1 2 1
2 2 2
0 2 0
2 1 0
0 2 2
1 0 0
0 1 0
0 1 1
10 6
3 2 2
2 0 2
3 1 0
3 3 1
2 1 0
1 2 0
2 1 3
3 3 2
1 1 3
1 3 3
10 7
2 1 2
0 1 1
0 2 1
1 1 0
1 1 1
1 2 1
0 0 0
1 1 2
1 0 1
1 0 2
10 4
2 0 1
2 2 1
2 1 3
3 1 0
1 2 3
2 1 0
3 1 3
0 2 0
1 2 2
1 0 1
10 8
1 2 2
1 0 2
0 0 2
1 1 0
2 1 0
2 1 1
1 0 0
2 2 0
2 2 2
2 0 0
10 6
2 1 1
0 0 3
3 0 2
3 1 3
3 1 2
2 3 3
2 1 3
2 1 2
0 1 3
0 2 1
10 2
0 2 2
0 0 2
0 3 2
0 1 1
3 3 1
2 1 2
0 1 0
2 0 1
3 0 2
1 2 1
10 7
0 1 3
0 3 1
1 2 2
2 2 0
3 1 3
2 3 2
0 2 0
1 3 3
0 2 1
3 3 3
10 7
3 3 0
2 3 2
3 3 1
1 3 0
3 1 1
3 1 3
3 1 0
0 3 1
0 3 3
3 3 3
10 6
0 3 0
2 2 3
2 3 0
0 2 2
0 1 1
0 3 1
3 0 0
0 2 0
3 3 2
3 1 3
10 2
0 3 2
1 2 0
1 0 1
3 0 0
1 2 1
3 0 3
2 0 2
1 3 2
0 3 1
3 1 3
10 8
1 2 1
1 3 1
3 0 2
3 2 3
1 1 3
2 0 1
1 2 0
3 1 1
1 0 2
3 1 3
10 9
1 2 2
0 0 1
2 2 0
1 2 0
1 2 1
0 1 1
0 1 0
2 1 1
2 2 2
1 1 2
10 3
2 1 2
1 2 0
2 2 2
1 0 1
0 1 0
0 2 1
2 2 1
2 0 1
0 1 1
0 0 1
10 8
0 1 0
2 0 1
2 2 1
1 2 2
1 1 2
2 0 0
2 1 2
0 2 0
1 0 2
0 0 2
10 4
3 1 0
3 1 1
0 0 3
2 0 2
1 3 0
2 0 3
2 2 3
3 3 1
2 0 1
3 0 2
10 4
1 2 1
1 1 0
2 2 0
0 0 1
0 1 0
0 2 1
2 0 0
0 1 1
0 2 0
2 0 1
10 6
1 0 2
0 2 0
2 0 2
2 0 0
0 1 1
0 0 0
0 2 2
0 1 2
1 2 1
2 1 1
10 3
1 3 3
2 1 1
3 0 3
0 1 1
3 0 1
2 2 0
0 2 3
0 3 0
0 2 1
1 3 2
10 9
0 0 1
0 2 0
1 0 0
1 2 1
1 1 2
1 2 2
2 2 0
2 0 0
2 0 1
1 0 2
10 5
0 1 0
2 0 2
1 0 0
1 2 1
1 1 2
2 0 1
0 1 1
0 0 0
2 2 1
2 1 1
10 8
2 1 0
2 1 1
1 2 2
2 1 2
1 2 1
1 0 0
1 0 1
0 2 0
1 2 0
0 2 2
10 4
2 0 2
0 2 0
2 2 1
0 1 0
0 0 1
0 0 0
1 1 1
1 2 0
2 0 1
2 1 2
10 7
2 3 2
0 3 0
3 0 1
3 0 0
2 3 1
3 0 2
3 2 1
1 0 0
2 3 0
1 1 1
10 9
2 2 1
0 0 1
1 2 1
0 0 0
1 0 2
2 2 2
2 0 1
1 1 0
0 1 0
0 2 0
10 2
2 1 1
2 2 1
1 0 0
2 0 0
2 1 2
1 1 0
0 0 1
1 2 2
0 2 0
2 1 0
10 5
2 2 0
1 0 0
1 2 2
2 2 1
2 0 1
2 1 2
0 1 1
1 1 0
0 2 0
0 0 0
10 7
0 1 2
1 2 0
2 0 1
1 0 0
1 1 2
2 1 0
0 2 0
0 2 1
0 1 0
0 0 0
10 7
1 1 1
1 1 2
1 0 0
0 2 0
1 2 2
0 2 1
0 0 2
2 2 1
0 2 2
2 2 2
10 3
0 3 1
1 1 2
0 3 0
3 0 1
3 2 1
2 1 0
0 1 1
0 1 3
1 2 2
3 0 2
10 9
1 0 1
2 2 0
1 2 0
0 1 1
1 1 2
0 1 2
0 0 2
2 0 0
2 0 2
1 1 0
10 7
0 3 0
3 0 0
3 1 0
2 0 0
0 0 0
2 3 0
2 1 0
1 1 0
1 0 0
2 0 1
10 9
2 0 2
1 0 2
1 2 2
2 1 0
0 1 0
2 1 2
2 2 0
0 0 1
2 1 1
0 2 1
10 5
1 2 1
0 0 1
0 0 0
0 0 2
2 0 1
1 0 2
1 0 0
2 0 2
2 1 0
2 2 0
10 8
0 0 2
0 1 2
2 2 2
1 0 1
1 3 0
1 3 2
1 3 1
3 1 1
0 3 1
1 0 2
10 5
2 2 0
0 2 1
1 0 2
0 2 2
0 0 1
2 0 2
1 1 1
0 1 1
2 0 0
2 1 0
10 8
1 0 2
1 2 0
2 2 2
2 1 2
2 2 1
1 0 0
2 0 2
1 1 2
0 0 0
0 2 1
10 9
2 1 0
0 2 0
2 0 0
1 2 2
1 2 0
1 0 1
1 2 1
0 0 1
0 2 1
2 2 0
10 4
2 1 2
0 0 1
2 0 3
2 1 3
2 3 1
0 3 1
1 1 0
3 2 2
1 0 0
2 3 2
10 7
3 0 1
1 1 0
2 1 1
3 1 0
1 2 2
2 0 2
2 3 0
2 1 2
0 3 1
3 2 1
10 2
0 2 0
1 2 0
2 2 0
2 2 2
2 1 1
1 1 1
1 2 1
0 0 1
2 1 2
2 0 2
10 7
1 2 1
2 1 1
0 2 1
1 1 0
1 2 0
0 0 0
2 2 2
2 0 0
2 1 2
1 0 0
10 8
0 0 2
0 3 2
1 1 0
3 0 1
2 3 3
3 3 1
0 3 3
2 3 1
1 1 3
3 1 2
10 3
0 0 1
2 0 0
0 0 0
0 2 1
0 0 2
1 0 0
2 1 1
1 1 0
2 2 0
0 1 0
10 4
2 0 0
1 2 1
1 2 2
1 1 1
1 1 2
2 1 2
2 2 1
2 1 1
0 1 2
0 1 0
10 2
3 3 2
2 0 2
0 3 0
0 2 3
2 2 2
1 3 2
2 1 1
1 1 0
3 0 0
2 2 1
10 5
2 0 0
0 0 2
1 3 2
1 1 1
2 3 2
2 1 3
1 3 1
2 2 0
3 3 1
0 2 3
10 8
0 2 2
1 2 2
1 0 0
1 0 1
0 1 2
0 0 0
0 2 0
1 2 0
2 0 1
2 1 2
10 9
0 1 1
1 0 2
2 0 1
1 1 0
2 0 0
0 0 0
2 0 2
1 1 2
1 0 1
0 0 1
10 4
1 1 1
2 1 0
0 2 1
1 0 1
2 2 1
0 1 2
2 2 2
2 2 0
1 0 2
0 0 0
10 7
0 1 0
0 0 2
2 2 0
0 0 1
0 0 0
2 1 2
1 0 0
2 1 0
1 2 2
1 1 1
10 8
2 1 2
1 1 2
0 2 1
2 2 2
1 2 1
1 0 2
2 1 0
1 1 1
2 2 0
0 0 2
10 6
2 1 2
0 0 2
2 2 1
0 2 1
1 0 2
1 1 0
1 0 0
2 0 0
0 2 2
1 2 0
10 3
3 0 1
2 0 3
1 2 2
3 1 1
1 1 0
3 1 0
0 2 2
0 1 0
3 2 1
2 3 0
10 4
2 2 0
1 1 0
2 1 2
0 0 0
1 2 0
0 2 0
1 2 2
2 2 2
0 0 2
2 2 1
10 7
1 0 1
0 0 1
0 2 1
2 2 1
1 0 2
1 1 2
2 1 1
0 1 1
1 2 1
1 1 0
10 7
1 1 2
2 1 3
0 2 2
1 0 0
0 3 1
2 0 0
0 2 1
3 1 2
0 1 3
1 2 3
10 8
2 2 2
1 2 0
1 1 1
2 1 0
0 0 0
1 0 1
0 0 1
0 1 2
2 0 1
2 1 1
10 4
1 1 1
0 0 0
0 1 1
0 2 2
2 2 1
2 0 0
2 0 1
0 2 0
0 1 0
2 0 2
10 7
1 1 0
0 0 2
0 3 0
1 1 2
2 0 3
3 1 3
0 3 3
1 3 3
3 0 3
3 3 0
10 4
3 0 2
0 1 0
3 2 1
3 3 3
2 1 0
0 2 3
0 0 1
2 2 0
2 0 0
1 1 0
10 5
0 2 0
1 0 1
2 2 1
0 0 2
0 2 2
2 1 0
2 2 0
1 2 0
2 1 1
0 0 1
10 7
2 0 3
3 0 2
1 2 0
3 1 3
0 2 3
2 3 3
0 3 0
1 3 0
0 1 0
0 0 0
10 5
2 2 0
2 1 2
1 0 2
2 1 1
2 2 2
0 0 1
0 0 2
0 1 1
1 2 1
1 0 0
10 3
0 2 0
1 0 2
1 1 0
1 1 1
2 1 1
0 0 1
1 2 2
0 1 2
0 0 0
2 2 1
10 2
1 0 2
2 1 0
2 1 1
1 0 0
0 2 2
0 1 2
1 0 1
2 2 2
2 0 1
0 0 2
10 2
0 2 1
0 2 2
0 1 2
2 0 0
1 2 0
2 1 0
0 0 2
1 1 1
1 2 1
2 2 0
10 7
1 2 1
0 2 1
0 1 0
2 0 1
0 2 2
2 2 1
1 0 0
1 1 0
1 2 0
2 1 1
10 8
1 3 1
2 1 1
2 0 2
3 2 3
3 2 1
1 1 0
3 0 2
2 3 3
2 0 1
3 0 1
10 5
2 0 1
0 1 2
1 2 0
0 2 2
2 1 1
0 1 1
2 2 0
1 1 1
1 2 1
1 1 2
10 9
3 1 1
3 2 1
1 0 0
3 2 0
2 3 3
2 2 0
1 1 1
2 0 2
2 2 1
1 3 0
10 6
0 0 0
2 2 3
1 2 1
0 2 3
3 2 3
1 1 2
3 3 1
0 2 0
3 0 2
2 3 3
10 4
2 0 0
0 0 0
2 0 2
2 2 2
1 1 2
0 1 2
1 2 2
2 2 0
0 0 2
1 2 0
10 7
2 2 2
2 0 2
1 0 0
1 2 1
2 1 1
0 0 1
2 2 0
1 1 2
2 1 0
1 0 1
10 4
1 2 2
0 1 2
3 0 1
1 3 1
0 1 0
1 1 0
1 1 3
0 2 0
2 2 1
3 0 0
10 7
0 2 1
0 1 2
2 1 1
1 0 2
2 2 1
1 1 1
1 0 1
2 0 1
2 0 2
1 2 1
10 7
1 1 2
1 1 1
0 2 0
2 2 2
1 2 1
2 0 0
1 0 2
0 0 2
2 1 1
1 0 1
10 5
3 0 2
1 2 0
3 1 3
0 0 0
0 2 2
3 2 0
0 1 2
3 2 2
3 0 0
1 1 0
10 8
0 2 2
0 1 0
2 0 1
2 1 1
0 0 1
1 1 0
2 2 0
1 0 2
2 0 0
1 0 1
10 7
2 0 1
1 0 3
0 2 2
3 2 0
0 3 1
0 1 1
3 1 1
2 3 2
1 0 2
1 1 0
10 5
0 1 2
2 0 0
2 2 2
1 1 0
1 0 2
2 2 1
0 2 2
0 0 1
0 2 1
1 2 1
10 2
1 1 0
1 2 2
3 1 0
1 2 3
1 3 0
3 2 2
2 2 0
2 1 2
2 1 1
2 3 3
10 7
0 0 0
2 0 2
2 2 0
1 2 0
1 1 0
0 2 2
0 0 1
2 2 2
2 1 0
0 1 1
10 9
0 2 0
3 0 0
1 0 0
1 1 3
2 2 0
1 1 0
3 1 3
3 2 0
3 0 3
0 1 2
10 2
1 2 0
1 1 1
1 0 0
2 2 2
2 1 0
0 0 2
0 1 1
1 0 1
1 0 2
0 0 1
10 5
0 2 1
1 0 2
0 3 2
1 1 1
2 1 0
2 1 2
0 0 2
2 1 1
1 2 3
1 1 2
10 8
0 2 1
0 1 0
1 1 1
2 2 1
2 1 1
0 0 0
2 0 2
1 0 2
1 2 0
1 2 1
10 4
1 3 0
3 3 0
1 2 3
2 3 3
0 1 1
2 1 3
1 0 1
1 2 1
2 3 1
3 0 1
10 4
0 0 1
1 1 1
1 2 1
0 1 1
2 2 2
1 0 1
1 2 2
2 1 2
2 0 0
0 1 0
10 4
2 2 0
1 1 0
1 0 1
0 1 1
2 1 1
1 2 0
2 0 1
0 1 2
1 2 1
1 1 1
10 9
0 2 2
0 1 0
1 0 2
0 1 2
2 2 1
0 0 0
0 1 1
2 1 0
1 0 0
1 2 2
10 8
1 1 0
0 1 1
1 0 1
1 2 0
0 2 1
0 2 2
2 1 1
1 2 2
0 0 1
1 0 0
10 6
2 3 1
3 3 2
2 2 2
1 3 1
3 3 1
3 3 0
2 0 3
3 0 2
3 2 0
0 1 2
10 2
1 2 1
1 2 0
0 0 1
2 1 0
0 2 2
0 0 0
0 1 1
1 0 2
1 2 2
0 2 1
10 2
2 3 0
1 0 1
3 3 0
1 0 2
0 0 1
3 1 0
2 2 1
2 1 0
1 3 2
1 2 0
10 8
0 2 1
0 1 0
0 2 2
1 1 0
1 2 0
1 0 0
1 1 2
2 0 2
2 1 1
1 1 1
10 8
1 1 2
1 3 3
2 0 1
2 3 2
3 1 2
0 1 2
0 3 2
1 3 2
2 1 2
1 2 1
10 4
2 0 3
2 1 2
3 3 0
1 3 3
1 1 2
1 2 2
0 1 1
3 2 0
0 0 2
0 3 0
10 9
0 2 2
0 1 2
0 2 1
2 0 0
1 0 0
0 0 1
2 1 1
1 2 0
0 2 0
1 1 1
10 7
1 3 2
0 3 1
3 0 1
3 1 3
2 1 3
3 0 2
1 0 3
0 1 0
0 0 0
3 3 3
10 8
2 3 0
0 1 0
3 2 2
3 1 0
0 0 3
0 1 3
0 0 0
1 0 1
1 3 2
1 2 1
10 5
0 2 1
1 1 0
2 1 1
0 2 0
0 1 2
2 0 0
1 2 2
1 0 0
1 1 1
1 2 0
10 6
1 1 1
2 0 1
0 1 1
0 1 0
1 2 2
0 2 2
1 1 2
0 2 1
2 2 1
1 0 0
10 6
2 1 0
2 1 1
2 1 2
2 0 1
1 0 1
1 2 2
2 0 0
0 2 2
1 1 2
0 1 0
10 8
3 1 1
1 1 0
2 3 1
0 2 0
3 2 0
1 3 1
0 2 3
1 3 2
1 0 2
3 0 0
10 8
3 2 3
3 2 0
2 0 3
0 1 3
2 0 0
2 1 2
0 2 2
2 3 2
2 1 1
1 3 0
10 6
3 2 2
2 0 1
0 3 3
1 2 1
0 0 3
0 2 1
2 1 3
3 1 3
0 1 1
1 2 2
10 5
1 1 2
2 0 2
2 1 0
2 2 0
0 1 1
2 1 1
2 1 2
2 0 1
1 2 0
1 0 1
10 6
3 1 1
2 1 0
3 3 1
0 2 0
3 3 0
0 2 3
0 1 2
0 3 0
3 0 2
1 2 2
10 6
2 3 1
3 0 3
2 1 3
3 2 2
1 1 0
3 1 2
3 1 1
3 2 0
1 0 1
2 1 0
10 3
0 0 1
2 2 0
1 2 0
0 1 0
1 1 2
1 2 2
0 0 0
2 2 2
2 1 2
1 1 1
10 6
1 1 0
1 2 1
2 1 2
0 1 2
3 0 0
3 1 3
2 3 2
2 0 3
1 3 0
2 0 0
10 2
0 2 1
3 2 2
1 2 1
2 2 3
2 2 2
2 1 3
3 1 1
2 3 1
0 3 0
2 1 0
10 4
0 1 1
2 2 0
2 2 2
1 0 2
2 1 2
2 0 1
1 2 0
0 0 1
0 1 0
0 0 2
10 3
3 3 0
0 1 1
3 2 1
1 3 1
2 3 1
3 3 1
0 0 2
1 1 3
3 0 0
0 0 0
10 9
1 2 0
0 1 1
2 3 1
3 1 1
2 0 3
3 1 3
2 2 0
2 0 2
2 1 0
1 1 3
10 4
1 1 1
2 1 2
0 0 2
0 2 0
1 0 2
0 1 0
0 0 0
1 0 1
1 0 0
2 0 0
10 2
0 1 1
1 2 2
1 1 1
1 1 2
1 1 0
0 2 1
2 1 1
0 2 2
2 2 2
0 0 1
10 8
0 2 1
2 0 0
2 0 1
2 2 2
0 2 2
1 0 0
2 0 2
1 2 2
2 1 1
0 1 1
10 9
1 1 0
2 2 1
0 2 0
1 0 2
0 0 2
2 2 2
1 1 1
0 2 1
2 0 0
2 2 0
10 8
1 1 0
2 2 1
0 0 2
2 2 2
0 2 1
0 0 0
0 1 0
2 1 0
2 0 1
1 0 1
10 6
1 3 3
0 0 2
3 1 3
0 1 0
2 3 1
0 3 0
0 3 3
1 0 3
2 2 2
1 2 2
10 6
0 3 1
2 3 3
2 2 2
1 2 0
1 3 1
2 0 1
3 3 1
3 3 3
0 0 1
1 1 1
10 7
2 1 0
0 2 3
1 0 0
2 3 2
1 1 2
3 0 2
2 2 0
0 0 1
2 1 3
3 3 2
10 8
0 0 2
0 1 0
1 2 0
2 1 1
2 0 2
1 2 1
2 2 0
0 0 0
1 1 0
0 1 2
10 9
2 0 0
1 1 0
0 0 0
0 0 2
0 1 1
2 1 1
1 2 2
0 1 0
2 0 1
2 1 0
10 5
2 2 2
1 1 0
2 1 0
0 2 0
1 0 1
2 1 2
1 0 0
0 2 1
2 1 1
2 0 2
10 4
3 2 2
0 3 0
3 0 1
0 0 3
1 2 2
1 0 0
3 1 3
2 3 3
0 1 1
0 2 0
10 2
3 3 3
3 2 3
1 1 1
2 2 0
3 3 2
2 2 3
1 1 0
0 0 0
0 2 1
0 0 2
10 2
1 2 2
2 2 2
1 0 1
1 0 2
0 0 1
0 0 0
2 0 0
2 1 0
2 2 1
0 0 2
10 2
2 2 1
0 1 1
1 0 2
2 0 1
2 1 2
0 0 1
2 2 2
1 0 1
1 2 0
2 0 0
10 5
1 2 0
1 2 2
3 1 2
3 3 0
3 2 0
0 1 1
1 3 2
0 1 0
2 3 1
2 0 0
10 3
1 3 1
2 2 0
0 0 3
3 1 3
1 2 1
2 0 0
0 0 1
1 0 2
0 1 1
2 1 3
10 7
1 2 3
2 0 3
3 0 0
3 0 2
0 0 3
2 3 2
1 1 2
0 3 2
2 2 0
1 0 3
10 3
3 2 0
2 3 2
2 2 1
3 0 3
0 0 2
0 1 1
2 1 0
3 1 3
2 2 3
0 3 3
10 2
2 1 1
2 2 1
2 1 0
0 2 2
0 1 0
1 0 0
1 2 0
0 0 2
0 0 0
1 1 1
10 9
1 2 2
2 0 1
1 0 0
2 0 0
0 2 0
2 0 2
1 2 0
2 1 0
1 1 0
1 0 2
10 7
1 2 2
1 1 2
1 1 0
1 0 0
1 0 2
2 1 0
0 0 0
2 2 0
2 2 2
2 0 2
10 5
2 0 2
1 2 1
1 0 0
2 2 2
3 0 0
1 2 2
0 2 2
3 3 2
0 2 1
2 3 0
10 6
0 3 0
2 2 2
0 2 0
3 0 3
2 1 1
3 1 3
0 0 1
3 2 2
1 0 3
0 2 1
10 7
0 2 1
0 1 0
0 2 2
2 0 2
1 1 2
0 1 2
1 2 0
1 0 0
1 0 2
1 1 1
10 3
2 2 3
1 1 1
2 3 1
0 2 1
1 0 2
0 3 2
2 0 2
2 1 0
1 0 1
2 0 3
10 6
2 3 0
3 0 2
3 3 3
0 3 1
1 2 0
1 0 0
3 2 3
0 1 0
0 1 1
1 1 0
10 2
1 3 3
1 3 0
2 0 1
1 0 0
0 1 1
0 0 3
0 3 2
1 3 2
3 3 1
2 2 1
10 3
1 3 1
2 2 0
1 3 0
2 1 0
0 2 1
2 3 3
2 0 1
2 1 1
3 1 0
3 3 3
10 7
2 3 2
3 3 2
1 1 0
3 1 1
0 3 0
3 1 3
1 2 2
2 1 2
0 1 3
3 2 3
10 9
1 2 2
2 0 0
0 1 2
1 1 2
1 1 1
2 2 1
1 0 0
1 1 0
0 2 0
0 1 1
10 8
1 2 2
3 0 3
3 3 0
3 3 1
0 1 0
1 2 0
0 2 0
1 3 3
1 0 1
3 1 2
10 6
2 3 0
3 2 2
0 1 1
0 1 2
1 0 2
0 1 3
0 3 1
1 1 1
0 2 1
2 2 2
10 3
0 1 2
1 2 3
1 3 1
1 1 3
1 0 0
3 3 3
3 2 2
0 1 0
1 3 2
0 2 2
10 2
0 1 1
1 0 3
0 0 3
1 0 0
3 0 1
3 2 2
0 3 2
2 0 2
2 2 0
2 3 2
10 4
0 1 1
0 1 2
3 1 2
0 3 1
1 2 3
3 1 1
0 1 0
1 1 0
1 1 1
2 2 0
10 6
2 1 1
0 1 0
1 1 1
0 2 0
0 1 1
2 1 2
1 2 1
1 1 2
1 1 0
0 0 1
10 6
3 3 1
1 0 1
3 2 3
2 0 0
3 1 1
3 0 1
0 1 3
1 0 3
0 2 2
1 1 3
10 6
1 2 2
3 0 2
2 0 2
1 3 0
0 1 2
0 3 3
3 0 1
3 2 0
1 2 1
2 1 2
10 2
2 1 2
1 0 1
1 0 2
0 2 0
0 1 0
2 2 0
2 2 2
1 1 0
2 1 0
0 0 2
10 6
0 2 1
0 2 0
2 0 1
1 2 2
1 0 0
0 2 2
2 1 2
1 0 2
1 2 1
2 1 0
10 6
2 0 0
1 0 0
1 3 3
3 1 0
3 3 0
2 2 3
3 0 0
2 1 1
2 2 0
1 0 3
10 8
1 2 2
3 3 2
2 1 1
0 0 2
2 2 2
1 3 0
3 0 1
3 1 0
0 2 1
1 2 1
10 6
1 0 1
1 1 3
3 0 2
2 2 2
3 1 2
3 3 0
3 2 0
1 0 0
0 3 3
1 3 3
10 3
1 0 0
2 0 0
2 1 1
1 3 3
0 3 2
3 3 2
0 0 0
0 2 2
0 2 3
0 0 1
10 7
0 1 0
1 0 2
0 1 2
1 1 2
1 0 0
0 2 1
2 0 0
2 2 0
0 0 0
1 1 1
10 7
2 0 2
2 1 3
3 3 1
0 2 3
1 1 1
1 2 0
2 0 3
0 1 2
3 0 2
3 2 0
10 2
2 1 0
3 2 1
3 0 3
3 1 3
3 1 2
2 2 0
1 0 0
2 0 1
1 1 0
1 2 3
10 5
3 0 0
3 3 3
3 1 0
2 2 1
1 0 2
2 3 2
1 3 2
3 0 1
3 2 1
2 1 0
10 2
1 0 1
2 1 2
0 2 2
2 0 0
2 1 1
1 0 2
0 1 1
2 0 2
1 2 0
0 0 2
10 9
3 1 0
3 1 1
2 2 3
1 0 3
0 1 1
3 3 2
0 0 3
3 1 2
0 3 1
1 1 0
10 9
0 0 1
0 2 2
2 2 2
0 2 0
0 1 0
0 1 1
1 0 1
2 0 1
2 2 1
1 1 1
10 4
2 1 1
0 2 0
2 2 1
1 1 0
0 0 1
1 2 1
0 2 2
2 1 0
2 0 1
1 2 0
10 6
0 2 2
1 0 1
0 2 1
0 1 0
2 1 2
2 2 0
1 0 2
0 1 2
1 2 2
2 0 1
10 5
0 1 0
1 0 0
0 1 1
0 2 2
1 2 0
2 1 0
0 2 0
0 0 1
0 2 1
2 0 2
10 3
1 3 1
1 2 1
1 3 0
1 0 1
2 3 0
0 3 0
0 2 2
0 3 1
3 2 2
1 1 0
10 3
1 2 1
2 0 2
2 1 0
0 0 1
2 1 2
1 2 0
0 0 2
1 0 2
1 2 2
0 2 1
10 4
0 3 2
1 2 2
3 1 2
3 1 1
0 3 0
3 0 2
0 1 3
3 3 1
0 3 3
1 2 1
10 8
0 1 1
2 1 1
1 2 0
0 0 0
1 0 1
0 2 2
2 0 1
2 0 0
1 1 2
1 1 1
10 7
2 0 2
0 1 2
0 3 0
2 2 2
1 2 3
3 0 2
1 0 0
2 0 0
3 1 0
1 0 1
10 9
2 1 1
1 2 1
1 0 0
2 0 0
0 2 2
2 2 2
2 2 0
0 2 1
1 1 0
0 0 1
10 8
0 1 1
0 2 0
1 2 0
0 0 1
1 0 1
2 2 2
2 0 1
0 1 0
0 2 2
2 0 2
10 6
2 1 3
3 0 0
1 1 3
2 2 1
3 1 0
3 3 3
0 3 2
2 2 0
2 3 3
1 0 2
10 3
2 1 1
0 3 1
3 2 2
3 2 0
2 1 2
3 2 1
1 1 2
3 3 1
3 3 2
0 0 2
10 7
2 1 2
1 1 2
0 1 1
2 2 1
2 1 1
0 2 2
0 1 2
0 0 2
0 2 0
1 0 2
10 5
2 3 1
1 3 0
1 0 2
2 2 3
0 2 0
0 3 3
2 2 1
2 1 2
1 0 3
0 1 1
10 3
0 2 0
0 1 1
2 1 2
2 1 0
2 1 1
1 0 2
1 1 0
1 1 1
0 2 2
2 0 0
10 3
0 2 2
1 1 2
2 2 1
2 0 1
2 1 2
2 1 0
2 1 1
0 1 2
0 0 0
1 2 0
10 5
1 0 1
2 1 2
3 1 0
2 0 1
2 1 1
0 2 0
1 3 3
1 3 1
0 1 0
0 1 1
10 9
2 0 1
1 0 1
2 2 2
2 0 2
2 2 1
1 1 0
2 2 0
1 2 1
2 1 0
3 2 1
10 2
0 0 0
3 0 1
3 1 1
1 1 2
3 3 1
1 0 1
1 3 2
3 0 2
1 3 3
0 0 1
10 2
1 1 2
3 2 0
2 2 3
1 1 0
0 0 3
1 0 3
1 2 2
1 2 1
0 1 3
0 3 3
10 8
0 0 2
0 1 0
2 0 0
2 1 2
1 2 1
0 2 2
2 2 0
1 0 1
0 2 1
1 1 2
10 3
3 1 2
3 3 2
1 0 0
0 2 2
0 2 0
0 3 3
2 0 3
3 2 1
2 1 0
1 2 2
10 3
3 1 2
0 3 1
1 3 0
0 0 1
1 1 0
3 3 1
0 2 2
3 0 3
3 0 2
2 2 2
10 6
1 2 2
3 0 2
2 1 2
3 3 3
3 0 1
0 3 3
1 1 2
0 3 1
1 0 1
3 3 1
10 2
1 1 2
1 2 1
2 1 0
2 0 0
0 0 2
0 2 0
1 0 2
1 1 1
2 1 2
2 1 1
10 4
1 1 0
1 2 0
1 1 1
1 0 1
1 2 1
2 0 2
2 2 0
0 0 2
0 2 2
2 0 1
10 7
0 2 0
2 0 2
0 1 0
0 2 1
0 2 2
1 1 0
1 1 2
0 1 1
0 0 1
2 2 2
10 7
3 1 1
1 0 2
3 3 0
3 1 3
0 1 2
1 0 0
0 1 0
2 0 0
3 2 3
2 1 2
10 2
3 0 3
1 3 3
0 1 0
0 3 2
1 3 1
2 3 1
0 1 3
0 1 1
3 2 1
2 0 2
10 3
2 3 1
2 1 3
0 0 3
0 2 3
0 1 2
0 1 3
3 3 3
2 2 3
0 2 2
2 0 2
10 7
1 2 1
0 2 1
3 3 3
2 1 3
2 0 0
3 0 2
2 2 0
3 1 1
1 0 0
0 1 0
10 3
2 2 2
1 0 0
2 2 0
0 0 0
2 1 2
0 1 0
1 2 1
0 0 1
2 0 2
2 1 0
10 2
2 2 2
2 0 1
2 1 1
2 2 0
1 0 2
1 0 1
0 2 2
0 0 1
1 2 1
2 0 2
10 4
2 1 1
2 0 1
3 2 0
2 0 3
2 0 0
2 3 2
2 2 3
2 2 1
1 0 1
3 3 1
10 4
1 2 1
2 0 0
1 1 2
2 2 1
0 0 2
1 2 2
2 0 1
2 1 1
2 2 2
1 1 1
10 6
3 3 0
1 3 2
0 3 0
3 1 1
2 2 0
0 0 1
2 2 2
3 1 3
2 1 0
2 3 2
10 3
1 0 0
2 0 1
2 0 2
2 1 1
1 2 2
1 0 1
0 1 2
0 1 0
0 2 1
2 2 1
10 5
1 1 2
2 0 2
0 1 1
0 0 0
1 0 1
0 1 2
2 1 1
1 0 2
2 2 1
0 2 2
10 7
0 3 2
1 1 2
0 2 1
3 1 1
2 0 0
0 0 2
2 2 2
1 3 2
2 0 1
2 1 3
10 9
1 1 1
1 0 2
0 3 1
2 0 3
0 2 0
0 0 0
2 3 3
2 3 2
0 2 2
2 1 3
10 7
1 0 1
2 1 1
1 1 0
2 2 1
2 1 0
0 2 2
2 0 1
0 2 0
0 2 1
1 0 2
10 9
3 3 2
3 1 2
1 1 2
1 3 3
0 0 3
1 2 1
2 2 0
1 0 0
2 2 3
0 3 3
10 7
1 2 1
1 0 2
2 0 1
2 1 1
1 2 2
1 0 0
0 0 0
1 0 1
0 1 0
0 0 1
10 5
1 2 2
1 2 1
2 0 1
0 1 2
1 1 0
0 1 0
2 2 0
1 1 1
2 2 1
1 0 1
10 8
1 2 1
0 2 0
2 0 1
2 0 2
0 2 1
2 2 0
0 0 1
0 0 0
1 1 1
0 1 0
10 7
2 2 1
1 1 0
1 0 0
2 2 2
2 0 1
2 2 0
1 0 1
1 0 2
0 2 2
1 2 0
10 2
2 0 0
0 2 1
0 1 0
1 1 0
1 1 1
0 2 0
1 0 2
2 1 1
0 1 1
1 0 1
10 4
2 3 0
0 0 3
3 1 1
1 1 0
2 2 2
2 1 3
3 2 3
1 1 1
1 0 1
3 3 1
10 4
1 2 2
2 3 2
3 3 0
2 1 1
2 0 0
3 0 0
1 3 3
1 1 3
3 1 2
1 3 0
10 2
1 1 1
0 1 0
2 1 1
0 1 2
0 1 1
1 1 0
2 0 2
2 0 1
0 2 1
2 2 2
10 9
0 1 3
3 2 0
2 0 2
3 0 1
1 0 0
0 0 1
1 1 1
3 0 3
1 3 3
0 1 1
10 2
1 2 1
0 1 2
2 1 1
1 1 1
1 0 0
2 0 2
1 2 0
1 1 0
0 0 2
2 1 0
10 2
2 0 2
2 0 0
1 0 2
2 1 2
1 2 1
1 1 0
1 0 1
0 2 2
2 1 0
1 0 0
10 5
1 1 2
3 3 2
2 0 3
3 0 2
1 3 0
3 1 3
0 2 3
2 3 0
0 3 3
3 2 2
10 4
2 1 0
1 0 2
2 1 1
0 1 0
1 2 0
2 2 1
0 2 2
1 0 0
2 0 2
0 0 1
10 9
0 0 0
0 2 3
1 3 1
3 3 1
0 2 1
0 0 1
0 3 0
1 2 2
3 2 0
0 3 1
10 6
0 3 3
2 2 3
1 1 3
1 3 1
1 3 3
0 1 3
3 3 1
1 0 0
2 0 0
2 1 0
10 3
3 3 2
1 0 3
0 3 2
2 3 0
3 3 0
2 2 2
2 2 1
1 0 1
3 0 3
3 2 0
10 4
3 1 1
3 1 0
1 3 2
1 1 0
3 1 2
2 3 0
0 2 1
0 0 0
0 3 2
3 3 0
10 8
0 1 1
0 0 1
2 2 1
1 1 2
0 2 0
1 0 0
1 0 1
0 0 2
2 0 2
0 1 0
10 3
2 2 2
0 1 0
1 1 2
2 1 1
0 2 1
2 2 1
2 0 0
2 1 0
1 2 2
0 0 2
10 4
3 3 2
1 2 2
3 1 0
0 0 2
1 1 3
2 3 1
0 0 1
1 1 0
1 3 3
3 0 1
10 4
0 0 1
2 2 1
2 1 2
2 0 1
1 2 1
0 1 0
2 1 0
2 0 2
0 2 2
1 0 2
10 2
3 1 2
1 0 3
1 2 0
3 0 2
1 1 0
0 1 2
0 0 1
1 1 3
0 2 2
2 2 2
10 9
2 0 1
2 0 0
1 0 0
1 2 0
2 2 2
0 2 1
2 2 0
0 0 0
1 2 2
2 1 0
10 6
0 3 0
3 2 3
2 2 2
1 1 3
0 2 2
2 3 0
2 3 1
3 3 0
2 2 0
1 1 1
10 4
3 2 3
1 3 2
1 1 3
2 1 1
3 0 1
0 2 3
0 3 3
0 1 1
3 2 0
2 2 1
10 6
3 0 2
0 1 3
1 2 1
0 2 3
2 2 2
3 1 3
1 1 0
2 2 3
1 2 3
3 2 1
10 8
1 2 3
3 0 3
0 3 2
1 0 3
1 1 0
0 2 0
0 1 2
2 1 3
0 3 0
1 0 1
10 5
3 2 1
1 2 1
0 3 3
2 3 0
1 1 0
2 0 2
0 2 2
1 1 1
1 3 2
2 0 3
10 4
0 3 1
3 1 1
2 2 1
2 3 1
3 3 3
3 1 2
0 2 0
3 3 1
1 1 0
1 1 2
10 3
2 0 1
1 2 1
0 2 0
0 1 0
0 0 1
2 0 2
1 1 1
0 0 0
2 0 0
0 2 2
10 6
1 1 1
2 2 2
1 2 2
1 0 0
1 1 0
2 1 2
2 0 2
0 0 0
0 0 1
0 1 2
10 9
2 2 1
0 0 2
1 1 0
2 2 0
2 1 1
0 2 1
2 2 2
1 2 0
0 0 1
2 0 0
10 7
0 3 2
1 3 3
3 3 3
0 3 1
1 1 0
0 2 1
1 2 3
1 3 1
2 3 3
3 3 0
10 3
0 0 1
2 0 1
2 2 1
1 0 0
1 2 1
1 2 2
2 1 0
2 2 2
2 1 2
2 1 1
10 3
2 1 0
2 1 1
2 2 2
2 0 1
0 0 0
0 1 2
1 2 0
1 1 1
1 1 2
0 1 0
10 5
3 3 0
2 2 2
2 3 3
0 2 1
3 2 1
0 3 0
2 3 1
0 1 0
1 1 2
2 2 1
10 4
2 1 3
2 1 1
2 2 0
0 3 1
2 2 2
3 2 1
0 1 1
2 3 1
2 2 3
3 1 0
10 2
2 2 2
0 2 1
2 3 2
3 0 0
3 3 3
0 1 3
1 1 2
0 1 2
1 1 1
2 0 2
10 9
0 0 2
1 0 2
0 2 1
0 2 2
0 2 0
2 2 0
0 1 0
0 0 1
1 2 2
1 0 0
10 4
2 2 0
2 0 1
1 1 1
0 2 0
1 0 1
0 2 2
0 1 0
2 2 2
1 1 2
2 1 1
10 8
1 2 1
2 0 0
1 2 2
1 0 2
0 0 2
2 1 2
2 0 1
1 1 2
0 2 1
1 1 1
10 2
1 1 0
0 2 1
2 1 2
2 1 0
0 1 2
0 0 1
1 1 2
2 2 2
0 1 0
1 0 0
10 8
2 3 2
2 0 2
1 1 0
0 3 3
3 2 3
1 3 1
1 2 0
0 1 2
1 1 2
1 0 2
10 4
3 3 3
1 1 1
1 1 0
0 2 2
3 2 1
3 1 0
3 3 0
3 2 2
0 1 1
2 1 3
10 9
2 0 2
1 0 0
0 0 1
2 0 0
1 2 0
0 1 0
0 2 2
2 0 1
0 0 0
2 2 1
10 4
0 1 2
2 2 0
1 0 0
1 0 1
1 0 2
1 1 2
2 2 1
1 2 2
0 2 1
0 1 1
10 8
2 2 1
0 2 2
1 2 2
0 1 0
2 1 1
0 0 0
1 0 2
1 0 0
0 1 2
2 2 2
10 4
0 0 3
2 1 3
3 2 0
1 0 3
1 1 2
2 0 0
2 0 3
3 0 2
1 0 0
1 1 3
10 3
3 1 3
3 0 1
2 0 2
1 2 3
2 1 0
3 3 2
1 3 3
1 3 1
2 2 3
2 2 2
10 2
0 1 2
0 1 3
0 1 1
2 3 0
0 2 2
3 2 1
0 2 0
3 3 3
2 3 1
2 2 2
10 5
1 1 0
2 1 2
2 0 2
2 1 0
2 2 1
2 2 0
2 1 1
1 1 1
0 0 1
0 1 2
10 8
2 2 0
2 3 1
2 3 3
2 0 0
0 0 3
3 1 3
0 0 1
0 3 1
1 1 0
2 0 3
10 8
1 3 2
2 3 0
3 1 1
3 3 2
1 3 3
2 1 3
1 2 0
2 0 3
2 2 0
0 0 2
10 6
0 1 0
2 2 2
2 3 1
2 1 1
3 1 3
2 2 0
1 0 1
1 1 3
3 1 2
2 3 3
10 7
1 0 0
2 1 1
2 2 1
0 0 0
2 1 0
1 0 1
0 0 2
0 0 1
1 2 1
0 1 2
10 6
1 2 1
1 1 1
1 0 2
0 0 1
1 1 0
2 0 1
1 2 0
2 0 2
2 1 2
0 0 0
10 3
0 2 0
0 1 2
0 2 1
2 2 0
0 1 0
1 0 0
2 1 0
0 0 2
0 0 0
1 1 1
10 5
1 0 3
3 1 1
3 2 1
2 2 1
1 1 0
3 1 3
0 0 3
1 0 1
1 1 1
2 2 3
10 2
1 0 1
0 3 3
3 0 2
2 1 2
3 2 2
3 1 0
3 1 2
3 0 3
3 2 0
0 2 2
10 8
0 0 0
1 0 0
2 2 0
0 2 0
0 0 2
0 2 2
1 2 2
0 1 1
1 0 1
0 1 2
10 2
1 0 2
0 1 2
3 0 1
2 0 0
3 2 2
0 3 0
3 3 2
2 2 1
0 3 3
3 1 0
10 2
0 0 2
1 1 0
1 2 1
2 2 2
0 0 1
0 2 1
0 1 2
2 2 1
1 0 1
0 1 0
10 2
2 3 0
0 0 3
3 3 1
3 0 1
1 2 2
2 1 1
0 3 2
3 3 2
0 1 3
3 1 3
10 5
2 0 0
2 1 1
2 2 2
2 2 0
0 2 2
0 0 1
2 2 1
1 1 1
1 0 2
0 0 2
10 8
0 0 0
1 0 1
1 1 1
2 1 0
1 0 2
1 0 0
2 0 0
0 1 0
1 1 2
2 0 1
10 4
1 0 0
3 3 1
0 1 3
0 0 0
3 0 0
0 2 0
3 3 2
1 2 0
1 2 3
3 2 3
10 9
0 2 1
0 1 2
1 2 0
1 1 2
2 1 1
2 1 2
2 0 0
1 0 1
2 0 1
0 0 0
10 5
0 1 1
0 2 1
1 0 0
2 1 2
2 1 0
1 0 2
1 0 1
1 2 0
2 0 2
2 0 1
10 5
2 0 1
1 2 0
2 1 1
0 0 2
1 2 1
2 0 2
2 0 0
2 1 0
0 0 1
2 2 2
10 7
0 0 0
1 2 2
0 1 1
1 0 0
2 0 1
2 1 2
0 1 0
2 0 0
2 1 0
1 2 0
10 3
3 3 2
1 3 1
0 0 1
3 1 2
3 0 0
2 3 2
0 1 2
0 0 0
1 1 0
0 2 3
10 2
0 1 0
1 1 1
2 1 1
2 0 2
1 2 1
2 0 1
1 0 0
0 2 2
0 0 2
0 1 2
10 6
0 1 2
2 1 1
2 1 0
0 2 1
1 1 0
2 0 1
0 2 2
1 0 1
1 2 0
1 2 1
10 9
1 2 0
3 2 1
2 0 3
0 0 1
3 3 1
3 1 1
2 2 3
2 2 1
2 1 2
1 1 3
10 9
3 0 1
0 1 3
3 3 1
1 2 1
1 0 3
0 3 1
0 2 2
1 1 3
0 0 3
1 0 2
10 9
0 0 1
0 2 1
1 2 0
0 2 0
2 0 1
1 0 0
2 2 1
0 1 2
2 1 1
0 0 0
10 7
2 1 0
2 2 0
1 2 0
2 0 2
1 1 2
1 2 1
1 2 2
1 0 0
0 2 2
0 0 0
10 4
1 2 2
0 1 0
2 0 1
2 2 0
1 1 0
2 1 1
0 2 2
1 1 2
1 2 1
0 0 1
10 2
1 2 0
2 2 1
2 0 1
0 2 0
2 0 0
1 0 0
0 2 2
0 1 1
2 1 1
0 1 0
10 7
0 2 0
1 2 1
0 0 0
2 1 0
1 2 2
0 0 1
1 0 1
0 1 1
0 2 2
0 2 1
10 3
1 1 1
1 2 2
1 2 1
0 0 2
0 1 0
2 2 2
2 2 1
2 0 1
2 2 0
0 1 2
10 6
2 2 0
0 1 2
2 2 2
1 1 2
0 2 2
1 1 0
2 2 1
0 1 1
0 1 0
2 1 1
10 6
1 2 1
0 1 0
0 0 0
1 2 2
0 0 1
0 2 1
0 1 1
1 1 0
0 1 2
1 0 2
10 3
0 3 0
1 3 1
2 3 3
3 3 1
3 1 0
2 1 3
0 2 3
0 0 3
1 0 2
3 1 1
10 8
3 1 3
3 3 3
1 2 2
1 2 0
3 3 2
1 1 0
0 1 3
3 0 0
1 1 2
3 0 2
10 5
0 3 2
0 0 3
1 3 2
0 1 0
3 2 2
1 3 3
2 0 2
2 3 0
0 3 1
3 0 3
10 7
2 0 2
0 1 0
1 0 1
1 1 1
2 1 2
0 2 0
1 2 2
1 0 2
2 0 0
2 2 2
10 2
2 0 0
1 1 2
2 2 0
1 0 1
2 0 1
2 2 2
0 0 0
0 1 0
0 1 2
0 1 1
10 3
2 3 1
3 3 0
0 1 3
2 2 2
1 2 3
2 0 0
2 2 0
3 0 2
2 1 2
2 0 2
10 8
2 0 1
1 2 1
0 0 2
2 2 1
2 2 0
0 0 0
2 2 2
2 1 1
0 1 2
2 1 0
10 7
1 2 0
2 0 0
0 2 2
1 2 2
0 2 0
0 1 2
2 0 1
2 2 2
1 2 1
0 1 0
10 8
0 2 2
2 0 2
1 1 2
0 1 2
2 2 2
0 1 0
1 0 1
2 1 0
0 1 1
0 0 2
10 2
2 1 2
0 3 3
1 3 2
0 1 0
2 0 1
2 3 0
3 2 3
2 2 0
1 1 3
3 1 1
10 6
2 2 1
1 2 0
1 0 0
1 0 1
0 2 1
1 1 1
0 2 0
0 1 2
0 2 2
2 0 0
10 9
0 0 0
1 1 2
2 1 1
0 1 0
1 2 2
2 2 1
2 0 0
2 0 1
1 0 1
0 0 2
10 7
1 0 0
2 3 1
3 0 1
3 2 3
0 0 2
3 1 1
3 1 3
3 2 0
1 3 0
0 0 3
10 3
0 2 2
0 0 1
0 0 0
0 2 1
1 2 1
0 1 1
1 0 0
2 2 2
1 1 0
0 0 2
10 2
3 3 1
1 1 3
1 1 1
0 0 2
0 2 0
3 0 2
3 3 0
0 3 0
2 3 1
3 0 3
10 5
1 3 3
3 3 3
2 1 2
0 2 1
2 2 1
2 3 3
0 2 3
3 3 1
3 2 0
2 2 3
10 2
2 1 0
0 3 1
3 0 0
3 1 3
0 0 0
0 0 2
0 1 0
1 3 0
1 1 1
1 0 3
10 9
2 3 1
1 1 2
1 3 3
2 0 0
0 2 3
0 1 1
2 1 2
3 0 3
2 0 3
3 3 3
10 8
2 0 2
1 2 1
2 1 2
1 1 2
2 0 1
0 0 1
0 1 2
0 0 2
0 1 0
1 0 0
10 3
1 2 2
1 3 1
2 2 3
1 3 3
1 3 0
3 1 2
2 0 3
2 0 1
1 1 1
2 1 2
10 8
3 0 1
3 2 3
2 0 2
2 3 1
2 2 2
2 0 0
3 3 1
1 1 1
0 2 2
1 0 2
10 3
2 0 1
0 1 3
3 2 0
0 0 3
2 3 1
1 0 0
1 1 1
1 1 2
3 1 3
0 1 1
10 4
1 2 0
1 0 0
3 1 3
2 0 3
3 0 0
3 1 2
1 2 2
0 0 0
0 2 0
2 3 1
10 9
0 1 3
1 2 0
3 1 2
1 1 3
2 1 1
0 1 1
1 0 3
3 1 1
3 1 0
2 3 3
10 5
3 3 2
2 2 1
0 1 1
0 2 2
3 3 3
0 1 3
3 1 0
3 0 0
1 1 2
2 3 3
10 2
0 0 0
0 2 0
1 1 1
1 1 0
1 0 2
0 2 2
0 0 1
2 1 0
2 1 1
1 2 2
10 6
3 1 3
3 0 1
3 1 0
1 0 2
0 0 1
1 1 1
1 3 1
2 0 0
2 1 2
0 3 0
10 9
2 2 2
0 0 2
0 1 2
1 2 0
2 1 2
2 1 0
1 1 1
1 0 0
0 2 0
2 1 1
10 9
3 3 0
0 2 1
1 1 1
1 2 2
2 3 3
0 3 0
0 0 3
3 3 1
3 3 3
2 0 1
10 9
1 1 1
1 0 0
1 2 1
2 2 1
1 1 0
2 2 2
0 1 0
2 1 2
2 0 1
0 2 2
10 7
0 1 3
3 1 2
2 2 3
3 1 3
2 0 2
2 3 1
3 3 3
0 0 3
2 0 3
1 2 2
10 5
1 2 0
0 2 2
2 1 1
0 2 1
1 1 2
0 1 2
0 2 0
2 0 2
1 1 0
2 1 2
10 7
2 2 0
0 0 2
0 0 1
2 1 0
1 1 0
1 1 2
1 2 1
2 0 1
0 2 0
2 1 1
10 8
2 3 1
3 0 0
1 2 0
1 0 3
2 1 0
1 1 0
2 1 2
0 3 1
0 2 0
3 1 2
10 6
1 1 0
0 0 2
1 0 1
0 2 1
0 1 2
0 2 2
2 0 1
2 2 1
2 1 0
1 2 2
10 3
0 1 1
0 2 1
0 0 0
0 2 0
2 2 2
2 2 1
1 0 0
0 0 2
2 0 2
1 2 1
10 9
3 0 2
2 1 3
1 2 2
3 3 0
2 2 3
3 2 2
0 0 2
3 3 3
1 0 2
1 1 0
10 2
1 2 0
1 0 0
1 1 1
1 0 1
0 1 1
2 1 2
1 1 0
2 0 0
0 1 0
2 2 1
10 5
0 2 2
1 3 0
1 3 3
3 0 0
3 0 1
0 3 1
1 0 1
0 3 2
0 3 3
1 0 3
10 9
0 2 2
1 2 1
0 2 1
1 2 0
1 0 2
0 0 0
0 2 0
2 1 2
0 1 2
2 0 1
10 3
1 0 2
2 1 2
1 1 1
1 2 2
2 2 2
0 1 0
1 1 0
2 2 0
1 2 0
2 2 1
10 8
2 0 1
2 0 2
2 1 1
2 1 0
2 2 0
0 0 0
0 0 2
1 2 2
1 0 1
2 2 2
10 5
3 3 0
1 1 1
2 1 1
1 1 0
0 2 1
2 3 1
0 0 1
1 1 2
2 0 1
1 2 1
10 8
1 1 2
3 2 3
2 1 3
2 2 3
3 2 2
0 2 3
3 1 1
2 3 0
0 1 2
1 0 1
10 8
3 1 1
0 1 3
3 2 3
0 3 1
3 0 1
1 2 2
0 3 2
1 0 3
0 1 0
0 2 3
10 8
3 3 1
1 2 1
1 1 2
3 3 0
1 0 1
3 1 3
0 3 3
2 3 3
1 1 1
2 3 2
10 6
2 0 2
1 2 0
2 1 0
2 0 1
3 0 0
2 3 0
2 2 1
3 0 1
1 2 1
1 1 3
10 2
0 1 2
1 1 1
0 0 2
1 0 0
1 2 1
2 2 0
1 1 2
2 2 2
2 0 0
2 1 1
10 5
0 3 1
3 1 1
1 0 1
1 3 1
3 3 2
2 1 1
0 3 2
2 3 1
3 1 2
3 0 1
10 7
2 1 1
0 2 1
0 0 0
0 0 2
1 1 2
0 1 2
1 1 0
1 0 0
2 1 0
0 0 1
10 4
0 1 1
2 0 2
1 2 0
2 2 1
1 1 0
0 0 0
2 1 2
1 1 1
0 2 2
1 2 1
10 9
3 1 0
3 1 3
1 3 2
0 1 3
3 1 1
1 0 2
3 0 0
3 0 1
2 2 0
0 3 3
10 7
2 1 3
1 1 3
2 0 2
2 1 0
0 1 2
0 0 2
2 3 3
3 2 0
3 2 2
1 0 1
10 5
3 0 0
0 2 2
3 1 1
3 0 2
1 2 1
1 1 2
1 0 1
2 0 1
2 1 3
3 0 3
10 4
2 0 2
0 0 0
1 0 1
3 0 3
3 2 0
2 2 1
1 1 2
3 1 2
3 1 0
2 2 2
10 3
0 0 1
1 1 2
2 1 2
0 1 1
1 2 0
0 2 2
1 1 0
0 1 0
0 0 2
2 0 0
10 4
0 3 0
0 1 0
1 2 2
0 0 0
1 1 0
0 3 2
1 2 1
1 0 3
2 1 0
1 3 0
10 4
2 2 2
0 1 0
2 2 1
2 1 2
0 2 2
2 0 0
1 2 0
1 0 2
2 1 1
2 2 0
10 7
0 0 2
2 0 2
0 0 0
1 2 1
0 1 0
2 1 2
2 0 1
2 2 1
1 2 2
1 0 2
10 6
1 0 2
2 2 2
2 1 0
0 2 0
0 0 1
1 2 0
2 2 0
2 1 1
2 0 1
0 1 0
10 4
3 3 0
0 1 1
2 3 0
3 0 1
1 2 0
0 1 3
3 1 0
0 3 1
1 0 0
1 0 3
10 9
2 1 0
2 2 1
0 3 2
0 2 3
3 3 3
0 0 1
3 2 2
1 3 3
2 2 2
3 0 2
10 8
2 0 3
3 1 0
2 3 0
0 3 3
3 1 1
2 0 2
2 3 2
2 2 3
1 1 1
2 3 1
10 8
3 2 3
2 0 3
3 3 1
1 3 1
3 3 2
2 2 3
2 1 0
1 1 1
2 3 2
1 0 3
10 7
0 3 0
0 0 0
1 3 3
1 1 1
0 3 1
3 3 0
0 3 3
2 0 3
0 1 1
1 2 2
10 5
0 0 1
2 2 1
0 1 0
3 3 3
2 3 0
1 1 3
1 3 0
0 3 3
3 2 3
3 1 1
10 8
0 3 2
0 2 0
3 1 3
1 1 3
0 3 3
0 0 3
2 3 2
1 0 1
0 2 1
1 2 0
10 8
1 0 1
2 1 2
3 1 3
2 2 0
3 3 2
0 2 2
1 0 3
0 2 1
3 3 0
2 0 3
10 9
1 2 1
1 2 0
0 1 0
2 0 1
0 2 2
2 0 0
0 0 0
0 1 1
0 2 1
2 2 0
10 4
2 3 1
0 3 0
3 1 2
1 2 0
3 2 3
1 2 1
3 1 3
0 1 2
1 0 1
0 2 1
10 7
2 3 0
0 1 3
1 0 1
1 2 1
3 1 0
2 2 3
2 0 2
3 3 1
0 2 0
0 0 1
10 7
3 2 0
2 0 3
0 3 2
1 1 3
1 3 1
1 2 3
0 3 0
0 2 0
1 3 0
3 0 1
10 8
0 1 0
0 2 1
3 3 2
2 0 3
2 2 1
1 3 2
2 2 3
1 1 3
2 3 3
0 1 2
10 2
3 3 3
3 2 0
1 1 1
3 1 3
0 1 3
2 3 3
3 0 0
0 3 0
0 0 2
2 0 1
10 5
2 0 3
0 3 2
3 3 0
2 2 1
2 3 3
1 1 2
2 3 2
2 0 1
1 0 1
1 3 2
10 6
2 1 1
1 0 1
1 1 1
0 0 1
0 0 2
1 0 2
1 2 0
1 0 0
0 2 0
1 1 2
10 3
2 2 2
1 0 2
0 1 1
2 1 2
1 2 2
1 2 1
0 0 2
1 1 0
2 0 2
0 2 0
10 7
1 0 2
0 3 3
2 2 1
1 3 2
3 3 0
1 2 3
3 1 3
0 2 3
0 1 3
2 1 3
10 3
2 1 1
1 2 0
1 3 3
2 1 2
3 1 1
2 2 1
3 0 1
1 2 2
2 3 0
0 1 1
10 2
1 0 1
2 1 1
0 2 1
2 2 1
0 3 0
3 3 3
0 0 3
3 3 1
1 2 3
2 0 2
10 6
2 0 1
2 3 1
1 0 0
3 1 3
0 0 3
2 3 3
0 1 2
0 0 2
3 2 1
0 2 0
10 3
1 3 0
3 1 3
1 1 2
2 1 3
0 2 1
0 1 3
3 1 0
1 0 1
3 0 0
2 2 2
10 5
2 0 0
1 1 2
2 2 1
0 1 2
1 1 0
2 0 1
2 1 2
0 2 1
0 2 2
0 1 1
10 2
0 0 2
1 2 1
0 2 0
3 2 3
3 3 2
0 1 1
2 1 3
3 0 0
1 2 2
3 0 3
10 2
2 2 0
2 2 2
2 0 2
1 2 1
0 1 2
0 2 0
2 1 0
0 2 1
2 1 2
2 2 1
10 8
1 3 0
3 0 1
1 2 0
3 0 2
1 1 2
3 2 1
1 2 2
0 2 2
3 1 1
3 2 2
10 5
0 0 1
0 2 0
0 1 2
0 1 0
1 0 2
1 1 1
2 2 0
1 2 1
1 1 0
1 1 2
10 9
3 2 1
1 1 2
0 2 1
0 3 0
2 0 1
1 3 3
3 1 2
3 3 1
2 1 2
0 0 2
10 9
0 1 3
2 1 1
1 0 0
3 2 1
2 1 2
2 2 2
1 3 1
1 2 3
1 0 1
2 2 1
10 2
1 2 0
1 0 0
1 1 1
0 2 2
2 1 0
0 1 1
2 0 2
2 0 1
2 2 1
0 0 0
10 7
3 1 1
2 3 1
2 1 0
1 3 1
0 3 1
3 0 0
2 3 0
3 0 2
0 1 2
0 0 0
10 8
3 3 2
1 0 2
2 0 3
1 0 0
0 2 1
2 1 3
2 2 0
2 3 1
0 3 1
3 0 0
10 2
0 2 1
2 0 0
2 1 2
1 0 1
0 0 1
1 0 0
1 1 2
2 1 0
0 2 2
2 1 1
10 5
1 0 1
1 2 0
2 2 1
1 1 2
2 2 0
0 0 2
2 1 0
2 2 2
1 1 1
0 0 0
10 8
3 2 2
1 2 2
1 3 0
1 2 1
0 2 3
3 1 0
3 3 1
3 3 3
0 2 0
2 1 1
10 2
0 2 1
0 0 0
2 2 0
1 2 0
1 1 1
2 0 1
0 0 2
1 1 0
2 2 1
2 0 2
10 6
3 0 2
2 1 0
2 2 2
3 3 1
0 2 0
3 1 1
3 2 0
0 2 3
2 0 3
1 0 0
10 5
1 1 0
3 2 1
0 3 3
2 2 3
3 1 2
3 0 2
1 1 3
2 2 2
3 2 3
3 2 0
10 4
0 1 2
1 1 1
0 3 1
1 2 0
1 3 0
0 3 0
0 3 2
2 1 0
1 3 2
0 0 1
10 9
1 2 2
2 0 1
0 0 0
1 0 1
2 2 1
0 1 0
0 0 1
2 1 0
0 0 2
1 0 0
10 4
0 0 0
1 1 3
3 2 3
2 2 1
0 0 3
3 3 2
0 3 2
2 2 3
1 0 2
0 0 2
10 9
2 0 1
1 3 2
0 2 2
2 1 3
1 3 3
1 3 0
1 2 2
3 1 2
2 0 3
1 1 2
10 5
0 1 1
1 2 0
1 0 1
1 0 0
2 0 2
0 2 1
1 1 2
1 0 2
2 0 1
1 1 0
10 7
2 2 2
2 0 0
1 1 1
0 2 0
1 2 1
1 0 1
0 0 1
0 0 0
0 2 2
2 0 2
10 5
0 2 1
2 1 1
1 0 0
2 1 0
2 0 1
1 2 1
0 2 0
0 1 0
0 0 1
1 1 0
10 8
0 1 1
2 1 0
1 1 1
0 2 0
0 1 0
1 2 2
0 0 0
2 1 2
0 2 1
0 2 2
10 6
1 0 2
1 2 2
0 2 1
2 1 1
1 1 0
2 2 0
2 0 2
0 0 1
1 1 2
2 2 2
10 2
1 0 2
1 3 1
1 0 0
3 0 0
0 3 1
2 0 1
2 0 0
0 0 2
1 0 3
1 0 1
10 3
1 0 1
3 2 3
2 2 1
3 1 1
1 1 3
1 3 0
2 0 1
1 1 2
2 1 2
3 3 2
10 9
1 2 1
0 0 1
2 0 2
0 2 0
0 1 1
2 1 0
1 0 1
2 0 0
2 1 2
2 2 0
10 3
2 1 2
1 2 2
1 3 1
1 0 0
0 3 2
0 0 0
2 1 0
2 3 2
2 3 1
3 1 0
10 3
0 2 0
0 1 0
2 2 2
2 1 0
0 1 1
0 2 2
0 0 0
2 0 0
1 2 2
2 1 1
10 7
1 1 0
2 2 2
0 2 1
1 1 2
2 1 2
2 0 1
0 0 1
0 1 2
2 1 0
0 1 0
10 9
2 2 0
0 2 2
2 1 1
0 0 2
0 2 1
0 0 0
0 1 0
0 1 1
1 1 1
1 1 0
10 8
1 0 2
0 0 2
2 1 1
1 2 1
0 1 0
1 1 0
2 1 2
0 0 1
1 1 1
2 2 2
10 8
3 3 1
0 1 2
0 1 0
2 0 3
2 1 2
0 0 0
1 3 3
0 2 1
3 1 1
1 1 1
10 9
1 1 0
1 0 2
3 2 0
0 2 0
2 3 3
2 3 2
3 2 2
3 3 0
0 3 0
3 3 3
10 6
1 0 3
0 0 0
3 2 1
3 1 3
0 1 3
0 1 2
3 3 3
1 1 0
2 3 3
0 3 0
10 5
0 0 2
0 1 1
1 0 0
2 0 0
0 1 2
0 1 0
0 2 1
2 2 1
1 2 1
2 0 2
10 2
0 0 2
0 2 2
2 0 2
1 2 0
1 0 1
0 1 0
1 0 0
1 1 0
1 0 2
0 2 1
10 6
2 2 2
0 2 0
2 0 0
2 0 2
2 1 0
1 1 0
1 0 1
0 0 1
2 0 1
2 1 1
10 2
1 0 0
2 0 1
3 0 1
1 3 0
3 3 0
1 1 3
2 3 0
0 0 1
1 3 1
0 1 2
10 4
2 0 2
0 0 1
0 0 2
1 0 0
0 1 2
2 1 2
1 1 2
0 2 2
1 0 2
1 1 0
10 5
1 2 2
1 1 2
1 1 1
2 2 0
0 0 0
1 1 0
2 1 0
0 2 2
1 2 0
0 2 0
10 4
0 0 2
3 0 2
3 2 0
1 2 1
1 2 2
2 1 3
0 3 3
1 3 0
3 3 1
2 1 1
10 6
2 0 1
1 0 2
0 1 2
0 2 1
0 0 1
2 2 2
1 0 0
2 1 0
2 1 1
1 2 0
10 6
1 1 0
2 3 0
2 2 1
2 0 1
3 2 3
0 0 0
3 0 3
0 2 0
2 1 2
1 1 1
10 6
0 0 1
2 1 3
3 1 0
3 3 0
1 0 0
1 1 2
3 0 3
0 0 3
0 1 1
1 2 2
10 5
0 0 0
3 1 3
0 1 0
3 2 0
0 3 3
0 1 2
1 2 1
1 3 3
0 3 2
2 2 1
10 8
3 0 1
1 3 2
0 2 2
3 3 2
1 0 2
2 1 2
3 2 0
0 0 1
1 0 0
3 1 1
10 9
0 1 0
0 2 3
3 0 1
3 0 3
2 0 0
0 0 3
1 2 3
2 0 3
3 1 3
3 3 1
10 7
1 0 1
1 1 1
1 0 2
0 0 0
2 1 0
2 1 2
2 1 1
0 1 1
2 2 1
2 0 0
10 4
0 0 1
2 1 0
0 0 2
1 0 0
2 0 2
0 2 0
1 1 0
1 1 1
2 2 0
0 2 1
10 9
0 1 1
0 2 0
1 3 1
3 3 3
1 2 2
0 1 0
0 1 2
3 1 1
3 0 3
2 2 0
10 4
2 1 0
2 1 2
0 1 1
0 0 2
0 1 2
0 2 2
0 1 0
2 2 0
1 2 0
1 2 1
10 3
3 2 3
1 1 3
3 1 1
2 0 1
0 2 0
2 2 3
1 1 2
3 3 3
1 2 1
2 0 0
10 4
0 1 0
2 0 3
0 2 1
1 1 2
0 0 2
3 3 2
3 0 1
2 3 1
2 1 3
2 2 3
10 8
1 1 2
1 0 0
1 1 1
0 2 0
1 0 1
1 1 0
2 1 1
2 2 1
2 0 2
1 2 0
10 9
2 0 1
1 0 1
2 0 0
1 0 2
0 2 2
0 1 0
1 2 2
1 1 0
2 2 0
2 1 1
10 8
0 0 1
1 0 2
0 3 0
3 2 2
3 3 2
2 1 0
3 1 1
0 0 3
3 0 3
1 3 3
10 2
2 1 0
2 0 2
0 2 0
2 0 0
1 0 1
0 2 2
1 1 2
1 2 2
2 0 1
2 2 1
10 5
0 2 0
2 0 2
0 2 1
1 1 2
1 0 0
0 1 1
1 0 2
2 2 0
0 0 1
0 1 2
10 2
0 0 3
3 1 1
0 1 3
0 1 0
0 0 0
3 2 3
3 3 2
3 0 2
1 2 3
1 0 2
10 4
0 0 2
0 1 2
1 1 0
0 0 1
0 2 0
0 1 1
1 1 2
1 0 1
1 0 2
0 1 0
10 3
2 2 2
1 2 2
0 0 0
0 0 1
0 0 2
0 1 0
1 0 2
2 2 1
2 1 2
1 2 0
10 9
0 2 1
1 0 1
0 1 0
1 2 2
2 0 1
2 1 1
0 2 2
1 1 0
0 2 0
0 1 1
10 2
2 2 1
2 2 0
2 0 2
2 1 1
0 0 0
0 0 2
1 0 0
1 1 2
1 1 0
0 2 0
10 8
1 2 0
1 1 1
0 2 1
0 1 2
1 1 0
1 2 1
2 1 0
0 1 1
0 0 1
2 2 2
10 5
0 1 1
0 0 0
1 2 1
0 2 0
2 1 1
2 2 2
0 2 1
1 0 0
2 0 2
0 0 2
10 4
1 1 2
3 1 2
3 1 3
1 0 1
2 1 0
0 1 3
1 3 2
3 3 3
1 1 1
1 2 1
10 9
1 2 1
2 2 2
2 1 1
2 0 0
1 2 0
0 1 0
1 0 2
2 1 2
1 0 1
0 0 2
10 6
0 3 3
0 0 1
0 0 3
3 2 3
2 0 2
3 2 2
3 0 3
2 2 3
2 0 3
3 3 1
10 9
0 2 1
0 2 0
2 2 2
2 1 2
1 2 0
2 1 1
2 2 0
1 1 2
0 1 0
1 0 1
10 4
1 0 2
3 2 3
0 3 2
2 3 1
1 2 3
2 0 2
2 1 3
3 1 3
0 2 2
0 1 1
10 4
0 2 2
1 1 2
0 3 1
3 3 0
0 3 3
1 2 0
1 3 2
3 0 0
1 2 3
0 3 2
10 7
1 0 2
0 2 0
0 1 2
1 0 1
0 1 0
1 2 0
0 2 2
2 2 2
0 2 1
0 0 2
10 2
1 0 2
2 0 0
0 1 2
1 0 0
2 1 2
0 0 0
2 0 2
0 2 0
2 2 2
1 1 1
10 3
0 1 2
0 0 0
0 1 0
1 0 2
2 0 0
1 2 2
0 0 2
2 2 0
0 2 2
2 1 0
10 4
2 3 3
0 1 0
2 2 3
3 1 2
2 0 3
2 2 0
0 2 0
1 0 3
0 3 1
0 0 1
10 8
1 0 3
0 0 2
3 2 0
2 2 1
3 3 1
2 0 1
1 1 0
0 0 1
2 1 3
2 1 1
10 2
1 2 2
0 2 0
1 0 2
0 1 1
0 1 2
2 2 0
1 1 2
0 0 0
1 2 1
1 1 0
10 7
2 0 2
1 0 0
2 0 0
0 0 2
2 2 2
1 2 2
2 1 1
1 0 2
0 2 2
1 1 2
10 5
1 2 1
0 2 1
2 1 2
2 2 0
1 1 0
2 0 0
1 0 2
1 2 0
1 1 1
0 2 0
10 4
3 1 0
3 2 1
0 1 1
3 2 2
0 2 1
1 0 1
0 3 3
0 1 2
2 0 0
0 3 0
10 6
2 2 3
2 0 3
2 2 1
0 0 0
2 0 0
1 2 1
2 3 3
3 2 2
1 1 1
3 3 3
10 2
3 2 2
1 1 0
1 0 3
3 3 1
3 3 2
0 2 2
2 3 2
2 0 3
0 1 0
0 0 3
10 9
2 0 1
1 1 1
0 2 1
2 3 2
0 0 2
2 3 1
2 2 1
2 0 3
0 0 0
1 0 1
10 8
2 3 3
2 2 1
2 1 0
3 3 1
2 3 1
0 0 1
2 0 1
3 1 1
2 1 2
3 1 2
10 4
2 2 1
2 1 0
1 1 0
1 3 0
2 0 2
0 2 2
0 2 0
0 3 1
0 3 3
1 3 3
10 4
1 0 2
0 2 2
1 0 0
2 1 2
1 1 0
1 1 2
2 1 1
1 2 0
1 2 2
1 1 1
10 9
2 2 2
2 0 0
0 2 2
0 0 0
2 0 2
0 1 1
0 1 2
0 0 2
2 0 1
1 2 0
10 2
0 1 1
0 0 2
3 3 3
3 0 2
3 3 2
1 0 3
0 0 1
1 3 3
0 3 0
3 1 2
10 2
3 0 0
0 1 1
1 2 3
2 3 1
2 3 3
2 1 2
1 1 3
0 1 3
3 2 0
1 2 1
10 7
1 2 2
1 1 0
0 0 2
0 2 1
1 0 2
1 1 1
1 2 0
0 1 1
2 2 1
0 1 0
10 8
2 1 3
0 2 1
3 1 0
0 3 3
0 0 0
1 2 0
0 3 1
1 0 3
0 1 3
2 0 1
10 6
2 0 0
2 2 1
0 2 0
0 1 0
0 0 2
1 2 2
2 1 0
1 1 1
2 1 2
0 1 1
10 4
1 0 3
1 0 2
2 1 2
3 2 1
3 1 2
1 0 1
2 2 0
1 2 0
0 2 0
0 0 1
10 5
1 0 0
0 0 1
0 2 1
2 1 0
1 1 1
2 2 1
0 0 0
2 1 2
1 2 2
0 1 1
10 5
3 2 2
0 1 2
2 1 1
1 1 0
2 2 3
3 1 0
0 0 0
3 1 3
2 0 0
1 2 3
10 2
2 0 0
3 3 0
0 1 0
0 1 3
2 0 3
3 2 1
1 0 2
1 0 3
3 1 1
0 0 1
10 3
0 1 0
2 1 0
1 1 2
0 0 0
0 1 1
0 0 1
2 2 0
1 0 0
2 0 1
1 2 0
10 6
0 2 1
2 2 1
0 0 0
1 0 1
1 2 1
1 1 1
0 1 1
2 0 1
1 0 2
2 1 2
10 8
3 2 1
0 0 1
0 2 0
0 1 2
1 0 1
1 3 0
3 1 2
2 2 1
1 2 1
3 2 3
10 4
0 2 1
0 2 2
1 0 2
1 0 0
2 2 1
0 0 0
0 0 1
1 1 2
0 1 1
2 1 1
10 9
0 0 2
2 2 2
0 2 0
0 0 1
1 1 2
1 2 0
2 1 0
2 2 1
2 0 1
2 2 0
10 8
3 3 3
2 1 2
2 2 1
2 0 0
1 1 3
0 2 3
0 0 3
1 1 2
3 0 2
1 2 0
10 6
1 2 3
3 2 1
1 0 1
2 3 3
3 2 2
3 1 2
1 3 3
3 3 0
0 0 0
0 2 3
10 7
1 1 2
2 1 1
0 3 0
2 0 0
1 3 0
0 1 2
0 3 2
3 1 1
3 0 2
3 1 2
10 6
2 0 0
0 2 0
2 2 0
2 1 2
1 2 1
1 2 2
1 0 0
2 2 1
1 1 1
1 1 2
10 8
1 2 2
1 0 2
0 0 1
0 2 0
1 1 1
1 2 0
2 0 1
1 2 1
1 1 0
2 2 0
10 6
1 0 1
2 1 1
0 0 0
1 0 0
0 1 0
2 0 1
1 2 2
0 2 1
1 1 1
2 0 2
10 2
2 1 2
3 2 1
2 1 1
2 2 0
0 1 0
1 1 2
1 2 2
2 0 1
2 3 0
2 2 3
10 5
0 2 1
2 2 1
1 1 0
2 1 2
1 0 1
0 1 2
1 2 2
1 0 2
0 2 2
2 0 0
10 7
0 0 1
0 3 2
2 3 2
0 1 0
1 2 3
2 2 3
3 1 1
2 1 2
3 2 3
1 3 2
10 5
1 1 0
0 1 0
1 0 0
1 0 2
2 1 0
0 1 2
2 2 0
0 0 2
2 0 2
1 2 0
10 5
0 0 2
1 2 2
2 0 0
1 2 1
2 1 0
0 2 0
2 0 1
1 1 2
1 1 1
2 2 1
10 6
1 2 1
0 1 2
2 1 1
2 1 0
0 1 0
0 1 1
2 2 0
1 1 2
2 0 0
0 2 0
10 2
1 1 2
2 0 1
0 2 2
1 1 1
2 1 0
1 0 1
1 2 0
2 2 2
1 0 2
2 0 0
10 2
2 1 0
2 2 0
2 3 2
3 1 0
3 0 2
3 0 0
0 3 3
2 1 1
3 3 0
1 1 2
10 3
0 1 1
1 0 0
0 2 1
0 1 2
1 1 0
2 0 1
2 0 2
0 0 1
2 1 2
0 0 2
10 3
1 2 1
1 0 0
0 2 2
0 2 0
0 1 2
0 0 2
1 0 2
0 0 1
2 2 2
1 2 2
10 2
0 2 2
2 0 0
2 1 2
2 2 2
2 2 0
1 0 2
1 0 0
0 0 0
1 2 2
0 0 2
10 7
2 1 2
1 0 2
2 0 2
1 0 0
2 0 1
2 2 2
1 1 1
1 1 2
0 1 2
0 1 1
10 7
0 0 0
2 0 0
2 0 2
0 0 1
2 2 0
0 2 0
1 2 0
0 1 2
0 0 2
2 0 1
10 7
3 1 3
1 1 1
2 3 0
3 2 0
2 2 1
0 0 2
1 2 2
1 3 1
3 1 0
2 0 1
10 5
1 2 1
0 0 0
1 1 0
1 2 2
0 2 0
0 0 1
2 0 1
1 1 2
2 2 2
2 0 0
10 9
2 0 1
1 0 1
0 2 1
2 2 0
1 0 0
2 0 0
2 2 2
1 2 0
0 1 2
1 2 2
10 5
0 1 1
3 1 1
2 1 0
0 0 1
2 2 3
1 3 1
3 0 0
3 3 3
1 0 1
0 0 3
10 3
0 1 0
0 0 0
2 2 1
1 2 0
1 1 1
1 1 2
2 0 1
0 2 1
0 1 2
1 2 2
10 9
3 1 0
3 0 1
1 2 0
1 2 1
0 3 2
2 2 2
2 0 2
1 0 0
2 0 3
2 3 2
10 3
3 1 3
3 3 0
2 0 0
0 0 3
3 0 1
1 2 0
0 0 0
3 1 2
2 2 3
1 0 3
10 7
2 2 2
3 3 3
3 3 0
1 0 1
2 3 1
0 3 0
1 1 0
3 3 1
3 2 1
0 3 2
10 2
2 0 0
2 0 1
1 2 2
0 2 2
2 2 0
2 0 2
0 1 2
1 0 0
1 2 1
1 1 0
10 5
2 0 2
2 0 0
0 0 1
0 2 2
2 2 2
0 1 0
2 1 1
1 0 0
1 1 1
0 1 2
10 6
0 3 0
0 2 1
1 2 2
0 3 3
2 1 1
2 1 0
0 0 2
3 0 0
1 2 1
2 2 3
10 2
2 1 0
0 0 1
0 2 2
1 2 0
3 1 2
3 1 3
1 3 3
0 3 2
2 2 0
2 3 1
10 7
0 0 1
2 2 1
1 1 2
2 2 0
0 1 0
2 1 2
0 0 0
1 2 0
2 0 2
0 1 2
10 5
1 0 2
1 1 1
2 0 2
2 1 0
0 2 2
2 1 2
1 0 1
0 0 2
2 2 1
1 1 2
10 4
1 2 0
2 2 0
2 0 2
0 2 0
0 2 1
1 0 1
1 2 1
0 0 0
0 1 0
1 0 2
10 4
0 0 2
2 0 2
2 0 1
0 0 0
0 2 1
0 1 0
2 2 1
1 0 2
1 1 1
2 0 0
10 6
0 0 1
2 0 2
0 0 0
2 1 0
1 2 1
0 1 0
2 2 0
1 0 0
1 1 2
1 2 0
10 8
0 0 0
3 1 3
0 0 1
2 0 1
3 2 2
2 1 1
1 0 0
3 2 3
2 0 3
1 3 2
10 8
1 2 0
0 3 1
2 0 1
1 1 2
2 1 3
2 2 2
0 2 0
0 1 1
2 2 3
3 0 1
10 9
2 2 1
1 0 2
1 0 1
0 2 0
0 1 2
0 0 1
1 1 1
1 2 0
2 1 0
2 2 0
10 9
1 2 0
1 3 0
3 0 1
0 3 3
1 0 0
0 0 0
0 2 1
1 1 3
3 2 3
1 2 3
10 5
2 0 2
2 0 0
1 1 2
0 2 0
0 1 0
2 2 1
1 1 1
1 0 1
1 0 2
2 1 1
10 8
1 2 1
1 2 0
0 1 0
2 0 1
2 2 2
2 1 0
0 2 1
0 0 2
1 0 2
1 0 0
10 5
0 2 2
1 1 1
1 2 0
2 0 0
0 1 2
1 2 2
1 2 1
2 1 1
2 2 0
0 1 0
10 3
2 1 1
1 0 2
0 0 2
2 2 2
0 2 2
0 1 0
0 2 1
0 2 0
2 2 1
1 0 1
10 7
1 1 0
2 2 2
2 2 0
0 2 1
0 0 1
1 2 0
2 1 1
2 0 0
0 0 2
1 1 1
10 4
3 0 1
0 1 0
2 3 3
3 0 2
1 2 1
1 1 3
0 1 3
3 3 2
0 3 3
2 2 0
10 2
3 0 3
0 1 1
2 3 3
0 3 3
1 3 0
0 3 1
2 3 0
3 3 0
2 2 1
0 2 1
10 8
2 1 1
1 2 1
0 2 1
2 0 1
1 1 2
2 0 2
1 0 1
2 2 0
0 0 1
0 0 2
10 7
1 0 0
0 2 2
0 0 0
2 1 1
2 2 2
2 2 1
1 2 0
1 2 1
1 2 2
2 2 0
10 6
2 3 0
0 1 1
2 2 2
2 0 2
2 0 3
3 1 3
3 0 2
2 1 2
2 1 0
2 3 1
10 2
0 1 0
0 0 0
1 2 0
2 0 2
2 1 1
1 0 0
1 0 2
1 1 2
0 0 1
0 2 1
10 8
0 0 1
0 2 0
3 1 1
2 0 2
0 0 2
1 3 2
2 2 0
1 2 3
2 3 0
2 1 2
10 6
2 2 0
2 2 2
1 2 0
1 0 2
2 1 1
2 1 2
1 1 1
1 1 2
2 2 1
0 0 1
10 4
0 0 1
2 2 0
1 0 1
2 0 1
0 1 1
1 0 0
2 0 0
0 0 2
0 2 1
0 2 2
10 8
1 0 0
3 1 2
2 3 1
0 1 3
2 3 3
3 2 0
3 1 3
3 3 0
1 1 1
2 2 1
10 6
2 1 0
3 0 0
0 0 2
1 3 3
3 0 1
1 0 1
0 0 3
0 3 0
0 3 1
2 1 1
10 9
1 0 0
2 2 2
0 2 2
1 1 2
2 0 2
2 1 2
0 0 2
0 0 1
2 2 0
1 2 1
10 6
0 0 1
0 1 1
1 1 1
2 0 1
1 0 2
0 1 2
0 2 2
0 2 1
1 0 0
0 2 0
10 3
2 2 1
2 1 2
2 0 0
1 2 0
0 1 0
2 1 0
1 1 0
0 1 2
0 0 1
2 1 1
10 8
3 2 1
0 1 1
2 2 0
1 1 3
1 3 3
2 1 1
3 3 2
0 3 0
2 1 0
1 1 1
10 8
0 0 0
1 0 0
0 2 1
0 0 2
0 2 0
2 1 2
2 0 1
0 1 2
1 0 1
1 1 1
10 7
1 0 1
2 0 0
2 1 2
1 1 1
0 1 1
2 1 0
1 0 0
2 0 2
2 0 1
1 1 2
10 7
0 2 2
2 2 1
0 2 1
2 2 2
2 0 0
1 2 2
0 1 1
1 2 0
0 0 0
1 1 0
10 6
2 2 0
1 0 0
1 1 2
2 1 2
1 2 1
2 0 1
0 0 2
0 2 2
0 2 1
0 1 0
10 2
0 1 1
1 0 0
1 2 2
1 0 1
0 2 0
0 0 2
0 0 0
0 1 0
0 0 1
2 2 1
10 2
3 1 2
1 2 0
0 2 1
3 3 3
0 0 0
0 0 1
1 2 2
0 1 2
3 2 2
2 3 3
10 6
0 2 1
1 1 1
1 1 0
1 0 2
1 1 2
1 0 1
0 2 0
0 2 2
2 1 1
0 0 0
10 9
2 0 0
1 0 0
1 2 2
1 2 1
0 2 1
2 1 0
2 2 1
0 1 1
1 0 1
0 0 2
10 5
1 1 2
0 2 0
3 0 1
1 1 0
2 0 0
0 3 0
3 1 2
0 0 0
3 3 3
1 3 1
10 6
2 3 0
0 1 2
0 0 0
1 0 0
2 1 0
0 3 0
1 1 3
3 1 2
1 0 2
0 0 2
10 8
1 3 2
2 0 0
1 1 3
0 3 2
3 0 1
3 1 3
0 1 3
2 2 2
3 1 2
3 2 0
10 7
2 0 1
1 3 3
3 1 3
0 0 0
0 2 2
0 3 2
0 0 1
1 1 2
2 1 2
3 0 2
10 4
3 2 0
2 0 3
3 2 2
2 3 0
0 3 0
3 1 1
1 0 1
1 2 1
3 2 3
1 1 0
10 5
0 2 1
2 1 0
2 0 0
0 0 0
2 1 2
1 2 0
0 1 0
2 1 1
2 0 2
1 2 2
10 6
0 3 3
2 2 0
2 1 2
0 3 2
1 0 2
3 1 3
2 3 0
3 2 0
1 3 0
2 3 3
10 6
1 1 1
2 2 0
1 2 1
2 0 2
2 1 0
2 1 1
0 0 0
2 2 1
1 0 0
2 0 0
10 3
0 0 2
0 0 0
2 2 1
0 2 2
1 2 1
0 0 1
2 2 0
0 2 1
1 0 1
0 2 0
10 7
0 0 1
3 1 2
2 3 0
3 0 2
3 1 3
1 1 2
3 0 0
1 1 0
2 0 1
2 2 2
10 5
1 0 1
1 2 3
2 3 1
3 2 1
0 2 0
2 0 2
0 2 3
0 1 3
0 1 0
1 3 0
10 9
1 0 1
1 2 2
2 1 2
1 0 2
0 1 0
2 2 1
2 0 2
1 1 0
0 0 0
0 2 1
10 6
0 1 0
2 0 1
0 1 2
2 2 0
0 2 2
2 2 1
0 0 2
0 0 0
2 1 0
2 0 0
10 2
3 0 2
0 0 1
2 3 3
0 1 3
1 2 1
1 2 3
1 3 1
0 2 0
2 3 1
1 2 2
10 9
0 2 0
1 0 2
1 2 2
1 1 1
2 1 2
0 1 2
0 2 1
2 1 0
1 1 2
1 0 1
10 9
1 1 0
1 1 1
2 0 0
0 2 2
0 2 1
1 1 2
2 1 2
0 1 0
0 0 2
1 0 2
10 2
1 2 0
0 2 1
0 1 2
0 1 1
2 0 2
1 0 2
0 0 1
1 1 1
1 1 2
0 0 0
10 7
1 0 2
1 2 1
0 2 2
0 2 0
2 1 1
1 0 0
0 0 1
0 1 2
2 0 0
0 1 0
10 8
2 0 1
2 0 0
3 3 0
0 0 0
2 0 3
2 1 3
3 1 0
1 1 1
0 1 1
0 0 2
10 9
2 0 0
2 2 1
2 2 0
0 2 1
1 1 0
0 2 0
0 1 1
0 0 1
2 1 1
2 1 0
10 7
1 0 2
2 2 1
0 2 2
0 1 2
0 0 0
2 2 2
2 0 1
0 0 1
0 2 0
0 1 0
10 4
2 2 3
3 2 2
0 3 2
1 0 2
3 1 2
2 0 3
1 2 3
3 3 1
0 0 1
2 3 0
10 6
2 1 2
1 1 0
1 2 1
1 0 1
2 1 0
2 0 0
0 1 2
2 0 1
2 2 0
0 2 0
10 2
3 1 2
2 2 0
2 0 3
3 3 0
0 0 3
0 2 3
0 3 3
3 1 3
1 2 1
1 0 1
10 6
3 2 1
0 0 3
0 0 0
0 2 0
2 3 2
0 1 2
0 2 3
2 0 3
3 3 1
1 1 1
10 8
0 1 2
0 2 2
2 2 3
3 1 0
2 3 2
2 3 0
3 0 1
1 0 0
0 0 2
3 3 1
10 2
1 2 1
3 2 3
0 0 0
0 2 2
0 3 3
3 3 1
0 2 1
0 3 0
1 2 2
1 3 1
10 8
3 2 2
3 0 0
3 3 2
2 3 1
2 0 3
2 0 2
1 1 3
0 2 3
1 0 0
3 0 3
10 4
2 0 0
0 0 2
1 0 1
0 2 1
1 1 0
1 1 1
0 1 0
0 2 0
0 2 2
1 0 2
10 7
0 3 3
2 0 3
3 2 0
3 2 1
2 0 2
3 1 1
1 2 2
1 1 3
1 3 3
3 2 2
10 3
2 2 3
3 0 3
3 1 3
3 0 0
1 0 1
0 2 1
1 1 3
1 3 2
2 0 1
2 2 1
10 3
1 2 1
2 0 1
3 0 2
2 0 0
3 2 3
1 2 0
2 2 1
0 1 3
0 2 1
3 2 1
10 4
2 2 1
0 2 2
1 2 0
2 2 2
2 1 1
1 1 2
0 0 0
0 0 2
2 0 0
2 0 2
10 7
2 0 3
2 0 1
2 3 3
1 0 1
3 1 1
3 3 3
2 3 0
0 3 1
3 1 2
3 3 0
10 8
2 2 2
1 2 1
0 0 1
2 0 1
0 1 1
0 1 0
2 1 0
2 0 0
1 0 0
1 0 2
10 6
0 0 1
0 1 2
2 0 3
1 1 3
3 2 0
3 2 2
1 1 0
1 2 2
3 2 1
0 2 0
10 4
0 1 0
1 1 0
1 0 2
0 0 0
0 2 1
1 2 0
0 1 2
0 2 2
2 2 2
2 1 1
10 7
0 1 0
2 0 2
0 0 0
0 1 2
1 0 0
0 2 0
0 2 1
0 1 1
1 2 2
1 1 0
10 2
3 3 0
2 0 1
1 3 2
2 2 3
3 2 0
3 0 3
1 2 3
1 3 3
0 3 3
2 0 2
10 8
3 3 0
2 0 1
0 1 0
3 3 1
3 2 2
2 0 0
0 0 3
2 1 3
1 3 2
1 0 0
10 5
0 1 0
1 2 0
1 1 2
2 1 0
0 2 0
1 1 0
1 0 0
1 1 1
0 2 1
1 0 1
10 8
1 1 1
3 3 1
1 0 1
3 0 1
0 0 2
0 2 1
2 2 3
3 0 2
0 1 3
0 1 2
10 8
0 1 2
0 2 1
3 0 0
2 2 0
2 0 1
1 2 1
0 2 0
3 3 1
3 2 1
1 1 3
10 7
1 1 2
0 1 2
0 2 1
0 0 0
1 2 0
1 0 2
1 0 1
2 1 1
2 2 0
0 0 1
10 8
1 1 0
0 3 3
3 3 0
1 3 1
1 3 2
1 1 2
2 0 0
2 2 0
2 3 3
3 1 2
10 3
1 2 1
2 1 1
2 2 3
2 0 0
3 3 3
2 2 2
0 3 3
2 3 0
1 3 1
3 1 2
10 8
3 1 1
0 0 0
3 0 2
0 0 2
1 2 0
2 3 3
2 0 2
0 1 1
1 3 1
3 2 2
10 4
0 0 1
1 0 2
0 1 2
2 2 1
1 1 2
0 2 0
0 0 2
1 2 1
2 0 0
0 1 1
10 5
2 1 3
1 2 0
0 2 2
1 1 2
3 3 3
0 3 0
0 1 0
3 3 1
3 3 2
3 0 1
10 5
1 1 3
2 1 3
1 3 0
3 3 2
0 1 0
1 2 0
3 0 0
1 2 3
1 1 1
3 1 1
10 6
1 1 2
2 1 2
0 2 0
0 0 2
2 2 0
0 0 1
2 2 2
0 1 2
2 1 1
1 1 0
10 7
0 0 0
3 2 1
2 3 2
3 1 0
0 3 3
2 1 1
1 1 1
1 1 3
3 1 3
2 3 1
10 8
1 3 1
0 2 0
0 2 1
2 1 0
2 0 0
3 1 1
0 0 2
0 2 2
3 2 3
3 2 2
10 8
0 0 1
0 1 1
2 0 2
1 0 1
1 0 2
1 1 2
0 0 0
2 0 1
1 2 2
0 0 2
10 3
0 0 2
2 1 2
1 2 1
1 2 0
1 0 2
0 1 0
2 0 2
0 1 2
1 0 0
2 2 0
10 4
2 0 1
1 1 1
2 0 2
0 2 0
1 1 2
1 0 2
0 2 2
0 1 2
0 0 0
2 2 1
10 2
1 3 1
2 0 3
2 3 0
3 3 2
0 2 0
1 3 2
3 3 0
2 2 3
1 1 0
3 1 2
10 3
0 1 1
2 2 2
0 1 2
1 2 1
2 2 0
0 2 0
1 2 0
0 0 2
2 1 0
1 1 2
10 2
3 0 2
1 0 2
1 2 3
2 3 0
1 2 2
0 0 1
0 2 3
3 2 0
3 1 0
3 2 3
10 7
3 2 2
1 3 2
0 2 0
0 0 1
2 0 0
2 1 1
1 3 3
0 1 2
0 1 3
1 2 1
10 2
2 3 0
2 1 1
1 3 0
1 1 2
1 0 3
3 0 0
0 0 3
1 3 1
2 2 0
3 3 0
10 2
0 1 0
0 0 1
1 2 1
1 2 0
0 0 0
2 0 1
1 1 0
2 2 1
1 1 1
0 2 1
10 8
1 0 3
3 0 1
2 2 1
3 1 2
3 2 1
1 2 3
3 3 2
2 0 1
3 2 2
1 1 1
10 2
1 3 1
0 3 2
1 2 1
3 2 1
0 0 1
1 2 0
0 2 1
0 1 1
2 3 3
0 0 2
10 5
1 1 1
1 0 1
0 2 1
0 2 2
1 0 0
1 2 1
2 2 1
2 0 1
2 0 2
0 1 2
10 2
0 0 1
2 0 1
1 1 2
0 1 1
0 0 2
1 1 1
2 1 1
1 0 0
2 2 0
0 1 0
10 6
0 0 2
0 2 1
1 1 1
1 0 1
2 1 2
1 1 2
0 0 1
1 2 2
1 1 0
2 0 0
10 6
0 0 0
0 1 2
1 1 1
2 3 0
1 0 2
0 0 1
1 3 2
2 2 0
1 0 1
3 1 2
10 4
0 1 2
0 0 1
1 1 0
0 2 1
2 1 1
1 0 0
2 2 2
0 0 2
0 1 1
2 1 0
10 5
2 2 0
1 0 3
3 2 1
3 1 1
2 2 1
0 2 3
1 3 3
3 0 2
2 1 3
1 3 1
10 3
1 2 3
3 3 1
1 3 0
1 1 1
2 3 2
2 2 2
0 2 1
3 3 0
1 2 1
0 2 3
10 5
0 0 2
1 0 2
2 1 1
0 2 1
1 1 0
2 1 2
1 2 2
0 1 1
1 1 2
1 0 1
10 7
0 1 2
2 2 2
0 0 2
2 1 2
2 0 2
0 1 1
1 2 0
0 0 1
0 1 0
2 0 1
10 7
1 2 0
0 0 2
1 2 1
1 1 0
0 2 2
2 2 0
0 0 0
0 2 1
2 1 1
2 1 0
10 4
1 1 2
2 2 0
0 2 1
0 0 0
0 0 1
1 2 0
1 2 2
1 2 1
0 2 0
2 1 2
10 7
1 3 2
2 1 3
1 3 3
3 0 0
0 1 3
1 0 3
2 3 3
0 2 0
3 3 2
0 1 1
10 9
0 1 2
2 1 2
2 2 1
1 0 1
0 2 0
0 0 0
1 1 1
2 2 0
1 1 2
0 1 0
10 6
1 1 2
2 2 0
1 1 0
1 0 1
0 1 1
2 2 1
0 2 2
0 1 2
0 0 0
1 2 1
10 8
2 1 1
1 1 0
0 2 1
2 2 1
0 2 0
0 0 0
0 0 2
2 2 2
1 2 2
0 1 0
10 5
2 1 2
3 0 2
1 2 1
3 3 0
2 2 0
0 3 3
0 2 2
0 0 1
2 2 1
3 2 0
10 8
0 2 2
1 0 0
0 2 1
0 0 0
1 1 0
1 1 1
0 0 2
2 2 0
2 1 2
0 1 1
10 9
1 1 1
1 0 0
0 0 0
2 0 0
1 2 2
2 1 0
1 0 1
2 0 2
0 2 0
2 1 1
10 7
0 3 0
3 2 2
1 3 3
0 2 3
1 3 2
3 2 0
0 1 0
1 3 1
0 1 3
1 2 0
10 2
2 2 1
2 0 1
0 1 2
0 1 0
2 0 2
2 1 0
1 2 1
2 1 2
2 2 0
1 1 1
10 9
0 0 1
2 1 0
0 1 2
0 1 0
2 1 2
1 1 1
2 2 1
0 0 2
1 0 1
1 2 2
10 2
0 1 1
1 0 1
0 2 1
2 0 1
1 0 0
0 0 2
0 2 2
2 2 2
2 0 2
0 1 0
10 8
1 3 2
1 0 1
2 1 1
2 3 0
1 2 2
1 3 0
1 0 2
1 1 1
2 3 1
3 3 2
10 5
2 2 3
0 2 3
3 3 3
1 2 1
1 1 1
3 1 0
0 0 1
2 0 1
3 1 3
3 3 0
10 9
2 2 0
0 0 1
2 1 0
0 1 1
1 0 1
1 2 1
0 1 0
1 1 0
0 2 2
1 1 1
10 7
1 0 0
0 3 2
2 1 3
0 1 3
0 3 0
1 3 0
1 1 3
3 2 0
0 2 0
0 1 1
10 7
2 1 0
0 0 2
2 1 1
0 0 0
2 0 1
0 0 1
1 2 1
2 1 2
0 1 1
1 2 2
10 4
0 2 1
1 0 1
1 2 1
0 0 1
1 2 0
2 0 0
0 1 1
1 1 1
2 0 2
0 2 0
10 7
1 2 2
1 1 2
0 1 2
0 1 0
2 2 1
1 1 1
0 0 0
2 2 0
1 2 1
2 0 2
10 8
0 1 1
2 0 0
1 1 2
2 1 1
2 1 2
0 1 2
0 1 0
2 0 1
2 2 2
2 0 2
10 3
1 0 0
0 1 1
2 1 2
0 2 1
1 2 0
0 0 0
0 2 2
2 1 1
0 0 1
2 1 0
10 4
2 3 2
0 2 1
0 1 0
1 0 3
3 3 1
2 1 3
0 3 2
1 3 1
1 1 2
1 0 2
10 5
1 0 2
1 1 0
0 2 0
0 1 2
1 0 0
1 1 1
0 0 0
0 2 2
2 2 1
2 2 0
10 9
0 2 2
0 0 2
2 0 1
0 2 1
0 1 0
0 0 1
0 1 2
1 0 0
1 0 1
0 2 0
10 7
1 3 0
3 0 2
1 0 1
1 0 2
3 1 0
1 1 0
2 3 0
1 2 3
0 2 3
0 1 3
10 5
2 3 1
2 0 3
0 0 2
1 3 3
1 0 3
0 3 2
0 1 2
2 1 0
0 2 0
0 1 1
10 8
3 3 2
2 3 2
0 0 3
0 2 0
0 0 0
2 0 0
1 3 2
0 1 1
3 0 3
1 3 1
10 4
0 0 0
2 1 0
1 2 0
2 2 0
2 2 2
0 2 2
0 0 1
1 0 0
0 2 0
1 0 1
10 8
3 1 3
0 2 1
0 2 2
2 2 3
0 0 2
1 0 3
0 0 1
3 3 3
3 3 2
1 1 1
10 7
3 1 2
0 1 1
0 0 0
0 1 3
1 0 3
3 0 2
0 3 2
2 0 3
1 0 0
3 0 1
10 7
1 3 2
0 0 1
2 3 2
2 1 0
0 0 0
0 2 0
1 2 3
1 0 0
2 0 1
2 0 0
10 7
0 3 2
0 1 1
1 2 3
0 2 1
3 1 2
3 1 3
2 0 0
2 3 2
2 1 3
3 3 1
10 5
1 0 2
2 2 0
1 1 2
0 2 1
0 1 0
1 2 0
2 0 1
1 0 0
2 1 1
2 0 0
10 5
2 1 1
0 0 0
0 2 1
1 0 2
0 1 1
1 1 1
2 2 0
1 0 0
0 2 2
0 0 2
10 4
2 3 1
3 2 0
0 3 3
2 3 0
3 1 3
1 3 0
2 3 2
0 0 0
0 2 0
2 1 3
10 5
2 1 0
0 1 1
1 1 2
1 2 2
0 0 1
2 1 1
1 1 0
2 0 2
2 2 1
1 1 1
10 2
3 1 0
1 2 2
2 1 1
2 2 1
0 3 3
0 2 3
3 3 3
1 0 3
1 0 1
0 2 2
10 2
0 0 2
3 1 2
1 2 1
1 0 3
3 2 2
3 3 3
1 3 3
1 1 1
3 1 3
2 3 1
10 4
0 1 1
0 2 2
1 1 2
0 2 1
1 2 0
2 2 0
1 2 1
1 1 0
1 2 2
0 1 2
10 8
0 1 1
2 2 0
1 1 1
2 0 2
2 1 0
2 0 0
0 1 0
2 1 2
1 2 1
0 0 0
10 3
2 0 2
2 2 2
0 0 1
1 1 2
0 1 0
2 1 1
2 2 1
2 0 0
0 0 2
1 2 1
10 8
1 1 2
1 0 2
1 2 0
1 2 2
1 2 1
0 0 0
1 0 1
2 2 1
2 2 0
2 1 1
10 8
1 1 2
0 0 1
1 1 0
0 1 1
0 2 1
0 2 0
2 2 1
2 0 0
2 1 0
2 1 2
10 9
0 3 3
1 1 1
0 0 2
1 1 0
2 2 0
2 3 0
0 3 2
0 0 0
3 3 1
0 2 2
10 2
1 1 1
2 1 1
0 1 1
0 0 1
2 0 2
2 0 1
0 0 0
0 2 1
1 2 1
1 2 2
10 5
0 0 1
1 1 2
1 2 0
2 0 1
0 0 0
0 2 0
2 2 1
0 1 1
2 2 0
0 2 1
10 5
0 2 2
2 2 0
2 0 0
0 0 1
0 1 0
0 2 1
1 1 2
1 2 1
2 1 1
0 1 2
10 6
3 1 3
1 3 1
1 1 2
3 1 0
2 0 2
1 2 2
3 2 2
2 1 1
3 2 3
3 3 2
10 9
0 1 1
1 2 0
0 0 0
0 1 0
0 2 0
2 0 1
0 2 1
0 1 2
2 2 2
2 0 2
10 8
3 0 2
2 1 0
0 3 3
3 1 2
2 0 3
0 0 3
3 3 0
2 1 1
2 2 2
0 1 3
10 6
2 1 1
0 0 1
1 1 2
0 2 2
2 2 1
1 1 1
2 0 0
0 1 0
1 1 0
1 2 1
10 9
2 2 2
1 0 2
0 0 1
1 1 1
0 0 0
2 0 2
1 0 0
0 1 2
0 2 0
2 0 0
10 2
1 2 2
2 0 0
1 2 1
2 0 2
2 1 2
0 0 0
2 2 2
0 1 0
2 1 0
1 0 1
10 4
3 3 0
2 3 0
3 0 0
3 3 3
1 2 3
0 3 2
3 0 1
2 1 3
2 0 1
0 2 0
10 8
1 0 1
1 2 2
2 2 2
2 1 2
0 0 2
1 0 0
0 2 1
0 1 1
1 1 2
0 1 2
10 6
3 2 1
1 0 3
3 1 3
0 3 0
2 2 0
1 3 0
3 2 3
2 2 3
1 3 2
1 3 3
10 6
0 0 0
1 1 3
0 0 3
2 0 2
2 3 2
3 2 2
0 0 1
0 2 3
3 0 1
1 0 2
10 5
0 2 1
0 1 2
1 1 1
2 2 1
0 0 1
2 1 2
0 0 2
2 2 2
1 0 1
2 2 0
10 9
1 2 0
2 2 0
0 0 1
1 0 2
2 2 1
0 2 2
1 2 1
1 0 1
2 0 2
0 2 1
10 8
0 2 1
2 3 2
3 1 3
2 2 2
3 0 1
1 0 2
2 1 1
3 0 2
1 0 3
3 1 0
10 4
2 2 1
1 2 0
3 3 0
0 3 0
3 0 1
0 1 1
0 2 0
2 1 2
2 2 2
0 2 3
10 8
2 2 0
1 1 0
2 2 2
0 2 0
1 0 0
2 0 1
0 2 2
0 0 2
1 1 2
2 1 2
10 3
1 1 0
1 1 2
1 0 2
1 2 1
0 2 2
0 0 1
2 1 0
0 0 0
2 0 2
2 1 2
10 9
1 0 1
1 1 1
1 2 2
1 0 0
0 0 0
2 2 0
0 1 0
2 0 0
1 2 1
2 0 1
10 7
0 0 2
1 0 1
1 1 0
2 0 2
0 1 1
1 0 2
1 2 1
1 2 2
0 1 2
2 1 2
10 5
3 3 3
0 1 1
3 1 3
0 2 2
1 3 1
1 2 2
2 0 3
0 2 0
1 0 3
3 0 1
10 2
1 2 0
1 0 1
0 2 1
0 0 2
2 2 2
0 2 0
0 0 1
0 0 0
0 1 0
0 1 1
10 7
2 2 0
2 2 2
0 0 0
1 0 1
0 2 1
2 2 1
2 0 1
1 0 0
2 1 1
0 1 0
10 6
0 0 0
3 2 2
1 1 2
0 0 3
1 3 3
3 2 1
2 1 3
3 1 3
1 0 2
0 2 1
10 6
3 3 3
2 3 1
1 3 1
3 2 0
1 2 1
2 3 0
2 3 2
2 1 2
2 1 1
0 3 3
10 8
3 2 0
2 0 2
1 2 0
0 3 3
0 2 3
0 0 2
2 1 2
1 3 1
2 3 0
1 3 3
10 3
0 0 1
1 2 2
1 2 0
0 0 2
1 1 1
2 2 2
2 1 2
0 2 2
0 1 2
0 1 1
10 7
2 0 0
2 0 1
1 2 1
0 1 1
1 1 2
0 1 2
0 2 2
0 0 1
2 2 0
2 1 0
10 8
0 1 1
1 2 2
1 2 0
2 0 2
1 0 2
2 1 0
1 1 1
2 0 1
1 2 1
2 2 2
10 8
1 0 0
0 2 0
2 0 2
0 0 1
2 2 2
0 1 0
2 1 1
0 0 2
0 1 1
1 1 0
10 4
0 2 2
0 0 1
2 1 0
2 1 1
0 1 0
0 0 2
2 0 0
0 0 0
2 2 0
2 2 1
10 7
3 2 0
3 1 3
2 3 3
0 2 2
1 2 0
1 3 3
0 3 1
2 0 3
0 3 3
0 2 1
10 7
0 1 1
1 0 0
2 1 0
1 2 1
0 1 2
2 0 2
2 0 1
0 0 0
2 1 1
1 2 2
10 6
0 2 1
1 1 1
0 2 0
2 0 1
0 1 2
1 0 1
1 2 0
1 2 1
1 2 2
0 2 2
10 9
1 3 0
0 1 3
3 3 3
3 1 2
0 0 2
0 1 1
1 1 2
0 1 2
3 3 0
1 1 0
10 2
0 0 2
0 0 1
1 0 2
1 2 1
0 1 1
2 1 2
1 1 2
1 0 1
0 1 0
0 1 2
10 9
3 3 1
2 1 2
3 2 3
1 2 2
2 3 0
1 3 3
2 2 1
2 0 3
1 3 1
0 1 1
10 5
1 0 2
1 2 1
1 2 2
0 0 0
2 0 2
2 1 2
2 2 0
0 1 2
1 0 1
2 1 0
10 4
1 3 1
3 1 0
1 2 0
3 0 1
3 1 2
0 1 3
3 1 1
3 2 2
0 1 2
0 0 1
10 3
3 1 1
0 0 0
2 0 2
0 0 3
3 0 2
0 1 1
3 0 0
3 1 0
0 2 2
1 0 3
10 9
3 1 2
1 1 3
3 2 3
3 1 3
2 3 0
0 0 0
3 3 2
0 3 1
1 2 0
2 3 1
10 5
1 2 2
1 3 3
0 1 3
0 3 3
2 0 1
3 3 0
1 0 0
0 2 0
0 3 1
3 2 0
10 8
0 2 2
0 0 1
2 0 0
2 1 1
1 1 0
2 0 1
2 1 2
2 2 0
2 0 2
1 1 2
10 3
0 2 1
1 1 1
2 1 1
2 0 0
2 0 1
1 2 0
0 0 0
2 2 2
1 1 2
0 0 2
10 4
1 2 2
3 1 1
1 3 3
1 1 1
2 2 2
2 3 3
1 3 1
0 3 0
1 2 3
0 1 0
10 5
3 3 1
0 2 2
3 0 2
3 1 1
2 3 0
2 1 3
3 1 0
3 2 2
1 3 2
2 2 1
10 2
0 1 2
0 1 1
2 1 1
1 0 0
1 1 1
1 0 2
2 1 0
2 1 2
2 0 1
2 2 1
10 3
1 0 1
2 2 1
3 1 2
1 3 1
3 0 2
1 2 2
3 0 0
2 2 3
3 2 1
3 2 3
10 6
3 2 2
2 2 1
2 0 1
3 1 2
2 1 2
3 1 0
2 0 0
3 2 0
3 3 3
1 3 2
10 6
2 0 1
1 1 0
2 2 1
0 2 1
1 2 0
0 1 2
0 1 0
2 0 0
0 2 0
2 1 2
10 4
3 1 2
3 2 1
2 0 1
2 0 3
1 3 3
2 1 2
2 3 3
3 1 1
1 1 3
1 2 0
10 3
1 0 1
0 1 1
1 0 2
0 1 0
0 2 0
2 0 2
1 2 2
0 0 1
0 2 1
1 1 2
10 8
2 3 3
1 1 3
3 2 1
2 2 2
2 2 3
0 2 2
3 0 3
2 0 2
1 0 2
2 0 0
10 9
2 1 1
0 1 2
2 0 2
2 3 0
3 0 0
2 1 2
2 2 3
2 3 2
0 1 3
1 3 2
10 7
0 0 1
1 0 2
2 0 0
1 1 0
2 1 2
1 1 2
1 2 0
2 0 2
2 1 0
2 2 0
10 3
2 1 0
0 2 0
0 1 0
2 2 0
1 1 0
2 2 2
0 1 2
2 0 0
1 1 1
0 0 1
10 7
2 0 1
0 1 2
2 2 0
1 0 2
0 0 1
2 2 1
0 1 1
2 1 2
0 1 0
0 2 2
10 8
2 0 0
0 0 0
2 1 2
0 2 1
0 1 1
0 1 0
1 1 2
0 0 2
1 0 0
1 0 2
10 6
0 0 1
1 1 0
2 1 1
2 0 1
1 2 2
1 2 0
0 2 1
0 0 2
1 0 1
2 2 0
10 8
1 0 0
0 2 1
1 0 2
1 2 1
0 0 1
2 1 1
2 0 1
0 2 2
0 0 0
2 0 0
10 7
3 1 1
0 2 1
0 3 0
3 2 2
3 0 0
1 3 1
2 1 2
0 3 2
0 0 3
0 3 1
10 8
2 2 0
2 1 1
0 1 2
2 0 2
0 2 0
1 2 0
1 2 2
0 0 2
0 1 0
2 1 2
10 7
3 3 0
2 0 1
0 1 1
1 1 1
2 1 3
2 0 0
0 1 0
1 2 0
1 2 3
1 3 0
10 9
0 1 2
2 1 2
0 0 0
1 0 2
2 2 1
0 2 2
2 0 1
2 2 0
2 1 1
0 0 1
10 5
3 2 3
1 1 2
2 2 1
2 3 2
0 3 3
2 2 2
0 1 2
3 0 3
2 3 0
2 2 0
10 8
1 0 2
2 0 1
2 2 0
1 1 0
0 1 0
0 0 2
0 0 1
2 0 2
2 0 0
1 2 0
10 2
1 1 2
2 1 0
1 0 3
2 0 0
1 2 0
0 0 1
3 0 0
1 3 2
3 1 1
0 3 0
10 8
0 2 0
2 1 1
1 0 1
2 0 2
2 1 0
1 1 1
1 0 0
2 1 2
0 2 2
0 1 2
10 8
2 2 1
1 3 2
3 1 1
2 2 2
0 2 0
1 0 1
0 1 2
0 2 3
2 0 0
2 3 2
10 8
3 2 2
2 2 0
2 3 0
2 3 2
3 0 3
0 0 0
0 2 0
1 0 2
0 2 3
0 1 3
10 7
0 1 1
2 1 2
2 2 1
0 0 0
2 1 1
1 2 0
1 0 2
2 1 0
0 2 1
2 0 2
10 6
1 0 2
1 1 2
0 3 2
1 0 3
1 0 1
0 2 2
1 2 0
2 2 2
0 2 1
3 2 2
10 3
1 1 0
3 3 0
2 0 3
3 2 2
2 3 0
1 2 0
1 3 1
3 2 1
1 2 1
2 1 3
10 4
0 1 0
0 2 1
0 0 1
0 3 0
3 0 0
0 3 1
0 2 0
3 0 3
3 2 2
3 2 3
10 3
0 2 0
1 1 2
1 0 2
1 2 0
0 0 0
2 2 2
1 2 2
0 1 1
2 0 2
2 2 0
10 2
2 1 1
2 2 2
0 1 0
1 2 2
1 0 1
2 2 0
1 2 0
0 0 2
2 0 1
1 0 2
10 7
1 1 2
1 1 0
0 0 1
0 1 0
0 1 1
2 1 0
2 0 1
1 1 1
2 0 2
0 0 0
10 4
3 0 3
3 3 0
2 2 3
1 3 0
1 2 2
3 0 1
0 1 2
1 0 0
2 3 3
3 1 1
10 7
2 0 0
1 1 0
1 1 1
2 0 2
2 0 1
1 2 1
1 2 0
1 0 0
2 2 2
1 1 2
10 5
3 1 3
3 1 0
0 0 2
2 1 0
3 1 1
2 1 1
1 3 0
3 0 2
3 2 2
1 1 3
10 5
2 2 1
1 1 2
0 3 0
1 1 3
1 3 2
2 1 0
2 3 0
0 1 2
1 2 1
0 0 2
10 7
0 0 1
0 2 1
0 1 2
1 2 2
2 0 2
2 1 0
0 1 1
2 1 1
0 1 0
1 1 0
10 3
2 1 2
2 2 0
0 2 0
1 1 1
2 0 0
1 0 0
2 2 1
0 1 1
0 0 2
0 1 2
10 6
3 0 0
2 1 3
0 2 2
2 0 1
1 3 2
2 2 2
2 1 0
1 2 0
2 3 2
0 0 0
10 5
1 1 0
2 2 1
1 2 2
1 0 2
2 1 1
1 2 1
0 1 1
2 2 2
0 0 1
1 2 0
10 4
2 2 3
0 1 0
3 1 0
3 0 3
0 2 0
2 2 1
1 2 0
3 1 2
3 3 2
2 0 0
10 3
2 0 0
0 2 1
2 2 2
1 0 1
0 0 2
0 2 2
2 1 0
2 0 2
1 2 1
2 2 1
10 9
0 1 1
0 0 1
2 2 1
1 0 0
0 2 1
1 1 2
1 2 1
2 2 0
1 0 2
1 1 0
10 5
1 0 1
2 1 0
0 0 1
2 0 1
2 2 0
0 3 0
0 2 2
0 0 2
0 2 1
0 1 1
10 9
1 1 2
0 2 0
0 2 1
2 2 0
0 0 0
1 0 2
1 2 2
1 1 0
0 1 1
2 0 0
10 5
0 0 1
2 1 1
2 0 2
0 1 0
0 0 0
1 2 0
0 0 2
2 2 1
2 0 0
0 1 1
10 8
1 0 1
2 2 0
0 0 0
2 1 1
1 1 1
0 1 2
2 2 1
0 0 2
1 1 2
2 1 2
10 4
1 0 1
2 0 1
1 2 0
1 2 1
1 1 1
2 2 1
2 3 3
2 2 0
1 3 1
0 0 1
10 3
1 2 1
1 1 2
2 0 0
0 2 0
1 1 0
2 1 1
1 2 0
2 1 0
1 1 1
0 0 1
10 4
0 1 3
1 2 0
2 2 3
0 0 1
3 1 2
1 3 2
0 3 0
0 1 0
1 2 2
0 2 1
10 8
2 0 1
0 0 2
1 0 2
2 2 2
0 2 2
2 0 0
1 1 1
0 1 0
2 2 1
1 2 2
10 7
1 0 0
1 0 1
2 2 1
1 2 1
0 1 0
2 0 1
1 2 0
0 2 2
0 0 1
0 1 1
10 2
0 0 1
2 0 2
1 1 2
0 2 0
1 0 1
1 2 1
2 2 1
2 1 1
2 1 0
2 2 0
10 4
2 1 1
1 1 1
0 0 2
2 0 0
1 2 2
0 1 0
1 0 1
2 2 2
0 2 1
0 1 1
10 2
0 2 3
2 2 0
1 2 1
0 1 0
1 0 2
2 1 1
2 3 3
0 3 3
3 2 3
0 0 1
10 6
1 0 1
0 2 3
2 2 0
2 2 1
1 3 2
3 2 1
2 3 3
0 3 0
1 0 0
2 1 1
10 8
0 1 3
3 3 3
1 3 3
2 0 0
0 3 1
2 1 3
1 0 2
2 3 2
2 2 0
2 0 2
10 2
3 1 0
3 0 1
1 3 2
0 3 2
3 3 3
2 2 3
0 3 3
3 3 1
1 0 2
0 0 2
10 8
2 1 2
0 2 1
0 0 2
0 0 0
1 1 2
1 1 0
1 0 2
0 1 1
1 2 1
0 2 2
10 3
2 2 0
3 2 0
0 3 3
1 0 2
2 2 3
3 3 1
3 2 3
0 2 0
1 0 1
0 0 0
10 6
3 2 2
0 3 1
0 0 2
3 0 0
2 2 1
3 3 3
2 0 3
2 3 2
2 0 2
1 2 3
10 9
1 1 1
1 1 2
2 2 2
0 2 1
2 1 0
1 0 2
1 2 2
0 0 1
0 2 2
2 1 1
10 8
2 1 2
0 1 2
2 0 0
0 0 2
1 0 2
0 2 2
2 2 2
0 1 0
1 2 1
1 1 1
10 7
0 2 3
2 2 0
3 2 3
2 1 3
1 0 1
3 2 0
2 3 2
3 0 1
2 2 3
2 1 2
10 6
0 2 0
1 1 2
0 0 1
0 1 2
0 0 0
2 2 1
2 0 2
2 2 0
1 2 2
2 0 1
10 2
1 3 2
1 3 1
0 3 2
0 2 2
3 0 1
1 3 3
3 2 0
2 3 1
2 1 1
2 1 3
10 4
0 1 0
1 1 2
2 2 2
2 2 1
2 2 0
1 2 1
1 0 2
0 2 1
2 1 2
0 1 2
10 3
1 2 1
2 3 1
0 3 3
2 1 2
2 0 0
0 0 3
0 2 1
0 0 2
0 1 3
1 2 0
10 8
2 1 0
0 2 1
1 0 0
2 2 0
2 2 1
1 0 2
2 1 1
1 3 3
3 2 3
2 1 3
10 8
2 1 3
3 2 3
3 1 3
0 2 1
2 3 3
2 0 2
0 2 2
2 0 3
0 1 0
1 1 2
10 5
2 2 3
2 3 3
0 3 3
2 2 1
3 1 2
3 0 3
3 3 3
2 0 1
2 3 2
3 2 2
10 5
1 0 1
0 0 2
0 1 1
1 0 2
1 0 0
1 2 2
1 1 0
2 0 0
2 1 2
1 1 1
10 9
0 2 1
1 2 1
1 1 1
1 0 0
0 0 1
0 2 2
0 1 1
2 2 0
1 0 1
2 0 0
10 9
1 1 2
0 0 0
2 0 2
0 0 1
1 0 1
2 1 2
2 2 0
0 1 1
2 1 0
2 0 1
10 7
0 0 1
2 0 2
0 1 1
2 2 0
1 0 1
0 2 2
1 1 1
0 1 2
0 2 0
0 0 0
10 4
0 2 2
0 1 0
0 0 1
2 2 0
2 0 2
2 1 0
2 1 2
1 1 0
0 1 2
1 0 2
10 3
0 1 2
1 2 2
1 0 2
0 2 0
2 1 1
1 0 0
0 0 0
1 0 1
2 0 2
0 0 1
10 4
0 1 1
2 0 1
1 2 0
0 0 2
2 0 0
0 2 2
0 1 0
1 1 1
1 1 0
2 1 2
10 2
1 2 0
1 1 2
0 2 0
0 0 2
2 1 0
0 0 1
2 2 1
1 0 1
1 1 0
1 2 2
10 3
3 3 3
1 2 3
3 1 2
1 1 0
0 2 1
1 0 3
0 0 3
3 1 0
0 0 1
2 1 3
10 7
2 0 0
0 1 2
2 2 1
0 1 1
1 0 0
0 0 1
0 2 2
1 2 1
2 1 0
2 0 1
10 7
0 2 0
1 0 2
0 2 1
2 0 1
0 0 2
2 2 2
0 1 1
0 1 0
1 2 2
1 1 1
10 8
2 2 0
0 0 0
1 2 2
2 0 1
1 1 1
0 2 0
0 1 2
0 0 2
0 1 1
0 1 0
10 3
1 0 2
3 2 2
3 0 2
1 2 3
1 1 3
0 2 2
2 1 1
3 3 3
0 2 3
1 3 2
10 5
0 0 2
2 2 0
2 0 2
0 1 2
2 0 0
0 2 2
0 2 0
1 2 1
1 0 0
1 0 2
10 4
0 1 0
1 0 0
2 0 1
1 1 2
1 2 0
1 2 1
2 1 2
2 2 1
2 1 0
2 0 0
10 2
0 2 2
0 0 1
0 1 2
0 1 1
1 1 2
0 0 2
1 0 1
0 0 0
2 1 0
0 2 0
10 2
1 3 3
0 0 2
3 3 3
1 0 3
0 1 2
0 1 3
1 2 0
1 0 2
3 2 0
2 2 0
10 7
2 0 3
1 1 1
2 0 2
3 3 1
1 3 2
0 2 1
0 0 3
3 2 2
0 1 2
0 0 1
10 7
3 3 2
1 2 3
3 2 1
0 1 3
3 0 0
0 2 2
2 3 1
1 2 0
3 0 2
2 3 2
10 9
1 0 1
2 2 3
0 2 0
0 1 1
2 2 2
2 0 3
0 3 2
3 0 1
2 0 0
1 0 2
10 8
3 3 0
2 2 0
3 1 1
1 3 3
2 2 1
0 2 0
2 3 3
1 1 0
3 2 3
2 0 0
10 2
1 1 0
1 2 1
2 2 1
1 1 1
2 1 1
1 1 2
1 0 0
0 0 0
2 1 2
2 1 0
10 4
2 2 2
0 0 1
0 3 0
0 1 2
0 2 1
3 0 0
0 1 3
2 1 3
3 3 0
2 0 2
10 3
0 2 0
2 0 0
1 2 1
1 1 2
1 0 0
2 1 1
0 1 2
1 2 2
2 0 2
2 2 2
10 8
1 1 2
1 1 0
2 3 2
3 1 1
3 3 1
0 2 3
2 1 0
0 1 3
0 2 0
3 1 0
10 5
3 3 0
0 3 2
1 2 3
1 0 0
1 0 2
0 0 3
2 3 1
0 3 1
0 0 2
0 1 0
10 7
2 0 0
2 0 1
1 1 2
0 0 1
2 2 0
2 2 2
0 0 2
2 1 1
1 2 0
2 0 2
10 6
0 2 2
0 1 1
0 1 2
1 1 1
2 1 2
2 0 0
0 0 0
2 2 1
2 0 1
2 1 0
10 5
0 1 0
1 2 2
2 0 1
1 2 1
1 2 0
0 0 1
0 2 1
0 2 0
2 0 2
2 2 1
10 2
1 3 3
0 1 2
0 3 3
1 0 2
1 3 1
3 0 0
3 0 2
2 1 3
1 1 1
0 3 0
10 3
3 0 0
0 3 3
2 0 0
1 2 1
3 2 3
3 1 0
1 1 2
0 3 2
0 1 1
0 3 0
10 2
0 0 2
2 0 1
3 0 0
3 1 2
3 2 2
1 1 2
2 2 2
3 3 0
3 2 0
2 1 0
10 5
2 1 1
1 1 0
0 3 2
1 3 1
3 1 2
2 3 2
0 0 3
1 1 2
2 2 3
1 3 3
10 2
2 2 0
2 2 2
2 0 1
0 2 2
1 0 0
1 1 0
0 2 1
0 2 0
0 0 1
0 1 0
10 4
2 1 2
2 2 0
1 2 2
0 2 2
0 2 1
1 1 0
0 1 2
1 0 2
2 0 2
2 1 0
10 4
1 2 0
2 3 0
1 3 2
0 1 3
0 1 1
2 2 3
2 2 0
0 2 2
3 1 3
1 2 2
10 7
2 2 1
2 1 0
1 2 0
0 0 1
0 0 0
0 2 0
2 0 1
1 0 0
0 1 0
0 2 1
10 5
3 0 0
0 3 3
1 1 3
0 2 0
3 2 1
3 2 0
0 0 2
1 2 1
0 1 2
3 3 3
10 6
1 1 0
0 0 2
2 0 0
2 1 2
2 2 1
1 0 0
0 1 0
1 0 1
1 2 0
1 1 1
10 9
1 1 1
2 1 0
2 1 1
0 0 1
2 2 0
0 2 1
1 2 1
2 1 2
1 0 2
2 0 0
10 5
1 2 2
0 1 0
1 0 0
0 2 1
2 1 0
1 0 1
1 1 2
1 1 1
1 1 0
0 0 1
10 4
1 3 2
0 1 3
3 3 1
3 1 0
2 1 1
1 3 0
0 1 2
0 2 0
2 2 2
1 1 3
10 5
2 1 1
1 1 0
2 0 1
1 2 1
1 2 0
2 2 1
1 2 2
0 2 1
2 2 2
0 2 2
10 7
2 1 0
0 0 1
0 1 1
0 2 0
0 2 1
1 2 2
2 2 0
0 1 2
2 2 2
2 1 2
10 4
3 3 2
3 2 0
0 2 3
2 2 1
0 3 1
1 3 0
0 0 0
3 1 3
1 2 3
1 1 0
10 2
3 1 1
3 0 0
1 1 0
3 1 0
2 3 3
1 2 0
1 1 2
1 1 1
3 2 1
1 3 1
10 2
2 2 3
0 2 3
1 0 3
0 2 2
3 2 0
3 0 3
0 1 2
0 2 1
0 3 1
3 2 1
10 2
0 1 0
1 1 2
1 0 2
0 0 1
1 2 2
1 2 1
2 1 1
2 2 1
0 0 0
1 0 1
10 9
0 0 1
1 2 1
0 2 2
0 1 1
2 1 2
0 0 0
0 1 2
1 1 2
1 0 2
2 2 2
10 3
0 2 0
1 2 1
0 0 0
3 3 1
0 0 3
2 2 2
0 1 3
2 3 0
2 1 1
3 0 0
10 4
2 1 2
2 2 1
1 3 2
0 0 3
2 1 1
0 3 3
1 1 0
3 0 2
0 2 2
0 3 1
10 2
1 0 3
1 1 2
0 2 2
2 1 1
2 2 2
2 0 0
2 2 0
1 3 0
0 0 3
3 2 0
10 3
2 2 0
0 2 2
0 1 0
1 1 0
2 0 2
0 0 0
2 0 0
1 0 2
1 2 2
0 1 1
10 8
2 3 1
1 2 3
2 2 1
1 2 0
1 2 1
3 3 2
1 0 2
3 2 2
2 0 2
3 3 0
10 4
0 0 1
2 1 2
2 2 2
0 1 0
1 2 2
0 1 2
1 1 2
0 1 1
2 1 0
2 0 0
10 7
2 0 0
1 1 0
1 0 0
0 1 2
2 0 1
1 2 0
2 2 0
0 2 0
2 1 0
1 0 2
10 6
3 2 1
3 0 2
1 1 2
1 0 0
0 0 2
0 1 1
1 2 2
3 2 0
0 3 3
0 1 0
10 3
2 2 1
3 2 1
1 2 0
3 3 1
2 3 3
3 0 3
0 2 3
3 0 2
1 1 1
2 3 0
10 8
2 2 2
0 2 1
0 2 2
0 0 2
2 1 0
0 1 0
2 2 1
1 1 1
0 1 1
0 0 0
10 5
2 0 2
1 1 2
1 0 2
0 2 0
2 0 0
1 0 1
1 1 0
0 0 2
1 2 2
2 2 0
10 7
2 1 0
0 0 1
2 0 0
2 2 1
1 0 2
2 1 1
1 0 1
2 2 0
0 2 1
2 0 2
10 5
2 3 3
0 0 0
1 0 3
0 3 3
3 3 0
2 2 3
2 0 3
3 0 0
1 1 2
3 2 3
10 6
2 1 1
1 1 1
0 0 0
0 2 0
2 0 2
2 2 2
1 0 2
1 1 2
0 1 1
1 0 0
10 5
1 2 1
2 0 2
2 0 0
1 1 0
0 1 0
1 0 1
0 2 1
0 2 0
1 0 0
2 1 2
10 8
3 3 2
2 0 3
0 2 3
3 3 1
1 1 1
0 3 3
3 0 1
1 3 1
3 2 1
2 3 3
10 7
1 3 1
3 1 1
1 0 3
2 0 0
0 3 1
2 0 3
3 1 0
1 0 0
0 3 0
2 1 2
10 8
2 2 1
1 1 1
0 2 0
0 0 1
1 1 2
2 0 0
1 2 2
0 2 1
0 0 0
2 1 0
10 5
3 3 2
1 0 1
0 0 2
0 0 3
2 3 1
0 2 2
1 1 1
2 0 1
3 1 2
0 1 1
10 7
0 1 2
2 2 0
2 0 2
0 2 1
1 2 2
1 0 0
0 2 0
1 0 2
1 2 0
0 2 2
10 3
2 0 0
0 2 1
1 0 2
2 2 2
0 2 2
2 1 0
0 0 0
0 1 1
1 1 1
2 0 2
10 8
0 3 2
3 3 0
0 3 1
1 3 0
3 1 0
2 1 3
2 1 2
3 0 1
3 0 0
2 1 1
10 8
1 3 3
3 2 1
1 1 3
2 2 2
1 0 3
0 1 3
1 3 0
0 0 0
0 0 3
3 3 2
10 7
2 0 2
0 2 2
1 0 2
0 1 1
1 1 2
2 0 0
0 0 1
1 2 2
0 2 1
1 0 0
10 4
0 2 1
1 1 2
2 2 1
1 1 1
1 3 1
1 0 0
1 2 1
3 3 1
2 2 0
0 1 3
10 9
1 1 1
2 2 0
3 3 3
3 2 2
0 3 0
3 1 3
2 1 2
3 3 0
1 2 1
2 3 1
10 8
0 0 1
3 2 0
1 1 3
0 0 3
2 1 1
0 1 0
2 1 3
1 0 2
0 0 2
2 3 3
10 6
0 0 3
1 2 1
3 3 0
2 1 1
3 2 3
2 0 2
2 1 2
0 2 2
1 0 2
2 2 2
10 3
0 0 0
2 0 1
2 1 0
0 1 0
1 0 0
1 1 0
0 0 2
1 2 2
2 1 1
0 1 2
10 7
3 0 1
1 0 0
3 1 2
3 1 0
0 1 2
1 2 1
0 1 1
1 0 2
3 0 0
1 3 3
10 9
2 0 1
1 2 2
2 1 1
3 3 1
2 3 1
2 2 0
1 1 0
0 2 3
1 0 3
3 1 1
10 2
1 2 1
2 2 1
1 2 0
2 0 0
1 1 0
1 1 1
2 1 2
0 0 2
0 2 0
0 1 2
10 3
1 1 2
2 0 2
0 1 2
2 2 2
2 2 0
0 1 1
1 0 0
1 2 1
1 2 0
0 0 0
10 6
0 2 1
2 1 0
0 2 0
0 0 0
2 0 0
1 0 1
1 1 1
2 2 2
0 1 1
1 0 2
10 3
3 1 1
0 2 1
1 3 2
2 2 3
0 0 3
1 0 0
0 2 0
0 3 0
1 1 0
0 1 1
10 4
1 0 2
2 1 0
1 2 0
0 1 0
0 2 0
0 0 0
1 0 0
2 0 1
0 0 2
1 2 2
10 3
1 0 2
0 2 0
1 1 1
2 1 0
2 2 2
2 2 1
1 2 0
2 0 1
0 2 1
1 1 0
10 4
1 2 2
3 1 0
0 0 0
0 1 0
0 2 0
1 2 1
0 3 1
2 2 2
1 2 0
2 1 0
10 2
1 0 3
3 2 2
3 0 0
1 2 1
3 3 3
3 0 3
2 2 1
2 3 2
0 1 2
3 1 0
10 4
3 3 3
2 1 1
3 2 3
1 2 2
3 1 1
0 1 2
1 3 0
3 3 1
2 2 3
2 3 2
10 4
1 3 2
2 3 3
0 0 2
0 3 3
0 3 2
1 0 1
0 3 1
3 2 0
2 2 1
1 0 3
10 7
1 0 2
1 2 1
0 1 2
1 1 1
2 1 1
2 1 0
0 0 1
2 2 0
2 0 0
2 0 1
10 8
2 2 0
0 2 0
1 0 1
2 0 0
1 0 2
2 1 2
2 0 1
1 2 0
2 0 2
0 0 1
10 8
2 1 2
3 1 2
3 0 3
1 3 3
3 2 0
2 2 1
2 1 1
3 0 0
1 2 0
3 2 2
10 4
2 2 1
1 1 2
2 0 3
0 3 1
3 0 1
2 3 2
2 2 2
1 0 0
1 1 3
3 0 2
10 9
1 1 1
0 2 3
0 3 3
1 2 1
0 2 1
0 2 0
3 3 1
3 2 3
1 3 2
3 1 0
10 5
1 2 0
3 3 0
1 1 2
2 1 3
2 2 0
3 1 1
2 0 2
3 1 0
3 0 0
1 0 3
10 3
0 2 0
0 2 3
2 0 2
0 3 3
2 2 0
1 3 2
1 0 1
1 0 2
1 1 0
1 3 3
10 2
1 0 1
1 1 2
2 0 0
2 1 0
0 0 0
0 1 0
0 1 2
1 2 0
2 1 1
2 0 1
10 7
1 2 2
2 0 0
1 0 2
2 1 0
1 1 2
1 2 1
2 2 1
0 2 0
0 0 0
2 2 2
10 6
2 0 1
0 0 0
2 1 2
3 1 0
2 2 1
0 1 1
1 0 3
3 3 2
1 3 1
3 0 3
10 7
0 1 1
0 1 2
2 1 1
1 0 1
0 0 2
1 0 0
0 0 1
0 0 0
1 0 2
1 2 2
10 8
2 2 3
1 3 0
3 3 3
3 2 3
1 2 1
0 2 0
2 0 3
1 0 3
2 3 0
1 2 3
10 9
3 3 2
0 3 0
2 0 1
3 1 3
1 0 0
1 3 0
3 3 0
1 1 3
0 2 0
3 2 0
10 3
2 0 3
0 0 0
0 2 2
2 3 0
2 1 2
3 3 0
2 2 1
2 2 0
1 2 0
3 1 0
10 3
1 1 0
2 1 2
2 0 0
1 0 2
0 2 2
1 1 1
2 2 2
2 1 1
0 0 2
2 0 2
10 6
2 2 3
3 0 2
2 3 0
2 0 3
1 0 2
3 0 3
3 2 2
1 2 3
3 2 3
0 2 3
10 3
1 2 1
2 2 1
0 1 0
0 0 0
2 0 1
1 0 1
2 1 2
2 1 1
2 2 2
2 0 2
10 5
0 2 0
0 0 0
1 1 2
1 1 0
0 1 0
2 2 1
2 1 0
1 2 2
1 2 0
2 0 0
10 3
2 1 1
1 1 3
3 1 2
3 2 2
0 0 2
0 3 2
2 0 2
0 2 3
0 3 1
0 3 3
10 6
2 2 2
2 1 1
0 2 0
1 1 1
1 0 1
2 2 0
0 1 2
1 2 2
0 1 0
1 0 0
10 5
0 2 1
1 0 0
2 1 2
0 1 0
1 2 1
2 0 2
2 2 0
0 2 2
2 2 2
2 0 1
10 4
2 0 0
1 3 0
3 3 2
1 1 0
1 2 0
3 0 3
1 2 2
0 2 0
0 2 1
1 1 1
10 9
2 2 1
2 1 2
0 0 2
1 2 2
2 1 1
1 2 1
0 2 1
1 1 2
1 0 1
0 0 1
10 2
2 0 1
0 2 1
2 2 2
1 1 2
1 1 0
2 1 2
0 0 1
2 0 0
2 2 0
2 1 0
10 7
2 2 2
3 2 0
1 1 2
0 3 0
2 2 3
3 2 1
2 1 1
2 2 0
0 2 1
2 3 2
10 6
0 0 3
1 3 0
3 3 0
3 2 3
3 3 3
1 1 0
0 2 2
3 2 0
0 1 0
2 0 3
10 6
1 2 2
1 2 1
0 0 1
2 2 1
2 0 0
0 2 0
2 1 2
0 1 0
1 1 2
1 0 0
10 8
1 0 0
2 0 2
2 2 2
2 1 1
1 0 1
1 2 0
0 2 0
2 2 1
2 2 0
1 1 0
10 4
0 0 0
0 3 2
3 1 0
0 0 1
1 2 2
3 1 3
1 1 3
3 1 1
0 2 2
2 0 2
10 4
1 1 2
1 2 2
0 1 2
2 1 1
1 0 2
0 0 1
0 0 0
2 1 2
0 2 2
2 1 0
10 5
0 1 3
2 0 3
0 3 0
1 2 0
2 1 1
1 0 2
0 1 1
0 2 2
0 0 0
0 3 3
10 3
1 2 2
2 1 1
0 2 2
1 1 2
2 0 1
0 1 0
2 2 1
2 1 2
0 0 1
1 1 0
10 7
2 1 3
3 3 1
1 1 1
2 3 0
3 0 0
2 0 3
3 1 0
3 3 3
1 0 2
1 1 0
10 5
1 2 2
0 0 0
1 2 0
2 2 0
1 0 2
1 0 1
0 1 1
0 2 1
2 1 0
2 2 2
10 9
2 1 0
1 2 0
1 0 1
1 1 0
0 1 1
0 0 1
1 2 1
1 1 2
2 2 0
0 1 0
10 2
2 0 0
1 2 0
0 1 1
0 1 2
0 0 2
2 0 1
2 2 0
0 1 0
1 1 1
1 2 1
10 4
2 2 2
1 0 1
2 1 0
2 0 0
0 1 1
2 2 0
1 0 2
0 2 2
2 1 2
1 2 2
10 5
3 0 1
1 1 0
3 0 3
0 0 3
2 2 2
1 1 1
3 3 1
2 3 3
1 1 2
2 2 3
10 6
2 1 3
2 0 3
1 2 3
2 3 1
1 0 1
3 3 2
2 2 3
0 1 2
0 0 3
3 3 1
10 6
1 2 2
0 3 3
0 2 0
3 1 3
2 3 1
2 1 2
3 1 0
0 0 2
0 1 0
1 3 1
10 4
3 3 1
3 1 3
1 1 3
3 2 2
0 2 2
0 3 1
2 3 3
3 1 2
2 1 2
0 3 3
10 2
0 1 2
1 0 1
1 1 0
1 0 2
1 2 0
1 0 0
0 2 0
1 1 1
0 0 1
0 2 2
10 9
2 0 1
1 1 2
0 2 1
0 0 2
1 0 1
0 1 2
1 2 2
2 0 2
2 2 0
2 0 0
10 9
0 0 2
1 1 0
2 0 0
0 1 0
1 1 2
1 2 2
0 1 2
0 0 1
2 2 2
2 2 0
10 2
1 3 3
2 0 3
3 3 0
0 1 3
1 1 0
2 2 2
3 2 1
3 1 2
0 1 2
1 1 2
10 2
0 3 0
3 1 3
1 0 3
1 0 0
2 3 0
2 0 2
1 2 0
2 3 1
3 0 0
3 1 1
10 4
1 2 2
1 2 0
2 1 2
0 1 0
2 2 1
1 1 1
2 2 2
2 1 0
1 0 2
0 0 1
10 2
2 0 0
2 1 2
1 2 2
1 1 0
1 2 1
0 0 2
0 1 0
2 2 1
0 1 2
2 2 0
10 7
0 2 0
2 0 2
2 2 1
2 1 3
1 1 2
0 3 2
3 1 3
3 0 0
2 2 0
1 0 0
10 9
1 1 1
2 1 2
0 1 2
1 0 2
2 2 0
0 2 0
1 2 0
0 1 0
2 2 2
1 2 2
10 3
3 2 3
3 0 0
3 1 3
0 0 0
2 1 0
3 2 2
3 1 2
1 3 0
2 2 3
2 2 1
10 4
0 2 1
1 0 1
0 1 0
2 0 1
2 2 1
1 2 1
1 2 2
1 2 0
1 1 1
2 0 2
10 3
3 2 1
2 0 0
3 1 0
2 2 2
0 3 1
1 0 3
2 3 1
3 0 3
1 2 1
1 1 3
10 2
3 2 2
0 3 0
1 1 0
0 3 3
1 0 1
0 3 1
0 1 0
2 3 3
1 0 2
2 1 0
10 8
0 2 0
0 1 3
1 1 1
3 0 3
3 2 0
3 1 1
2 1 1
0 0 0
0 0 3
2 3 2
10 4
2 2 0
1 2 2
1 2 0
2 1 1
1 2 1
2 2 2
1 0 1
2 1 2
1 1 0
1 0 2
10 7
2 0 1
1 2 1
2 2 2
1 0 1
0 1 1
2 0 2
1 2 0
1 1 0
1 0 0
0 0 1
10 2
2 0 0
0 0 1
2 0 2
2 2 2
2 1 0
2 2 0
1 0 1
2 2 1
0 1 1
1 0 2
10 2
1 2 2
0 1 0
1 1 2
0 3 2
3 2 3
3 1 2
1 3 3
1 2 3
2 2 1
0 3 3
10 4
1 1 1
3 1 2
0 1 3
2 3 2
1 3 2
1 1 2
1 2 3
3 3 2
2 2 3
1 3 3
10 2
2 0 2
0 2 1
2 1 1
1 1 1
0 2 0
0 1 2
0 1 0
0 1 1
0 0 0
1 0 0
10 4
0 1 0
2 2 2
1 1 0
0 0 2
0 2 2
1 2 2
2 0 0
2 0 1
1 1 2
2 0 2
10 7
0 1 2
2 0 2
2 1 2
1 0 2
0 0 1
2 0 0
2 2 2
0 0 2
2 1 1
0 1 1
10 2
0 2 0
1 0 1
1 2 0
2 1 1
1 1 0
2 0 2
0 0 1
2 2 1
2 2 0
0 1 1
10 3
0 2 0
2 0 0
2 0 1
1 2 2
0 0 1
2 1 0
1 1 2
2 2 0
0 1 1
1 0 0
10 4
0 1 0
1 0 1
3 3 3
1 2 3
3 1 3
3 2 0
3 0 1
0 3 1
1 2 0
2 0 3
10 7
2 0 0
1 0 2
2 1 2
1 2 0
2 2 0
0 2 0
0 0 1
2 0 2
2 2 2
1 2 1
10 6
3 0 0
0 2 2
1 0 0
1 3 0
0 1 0
0 3 2
0 0 3
3 3 3
0 3 3
0 2 1
10 4
1 2 1
1 1 0
2 1 0
1 1 2
1 0 1
2 0 1
0 2 1
1 2 2
0 0 2
0 1 1
10 5
3 1 3
3 2 2
3 3 3
1 2 2
0 3 1
0 2 0
1 1 1
1 3 0
3 1 1
2 0 3
10 4
0 2 1
2 2 1
2 2 2
1 0 2
2 1 2
2 2 0
0 1 1
2 1 1
1 0 1
0 0 0
10 5
2 2 1
1 0 2
0 2 1
1 1 0
0 0 0
1 0 1
1 2 0
0 1 0
1 1 2
2 1 0
10 9
0 2 1
1 0 2
0 2 0
0 1 2
0 1 1
0 1 0
0 0 1
2 0 2
1 0 0
1 1 1
10 8
1 2 0
1 2 2
0 1 0
2 0 0
2 1 0
2 0 1
1 1 2
2 0 2
0 0 1
0 0 2
10 8
1 1 2
0 2 0
0 0 2
0 2 1
2 0 1
1 2 0
0 2 2
2 2 2
1 1 1
0 1 2
10 3
0 2 0
2 2 0
1 0 0
0 0 2
0 2 1
2 0 2
2 1 2
1 2 0
0 0 0
0 2 2
10 7
0 2 1
1 2 0
1 0 0
0 2 2
0 1 1
0 0 1
2 2 2
2 2 0
0 1 0
1 2 2
10 8
2 1 1
3 3 3
2 2 0
2 0 1
0 0 0
0 1 0
2 1 0
2 0 3
2 1 2
0 2 0
10 3
1 1 2
0 0 3
2 0 3
2 2 2
1 1 3
0 0 1
1 0 3
2 0 2
1 0 0
1 2 2
10 8
2 0 0
1 0 0
0 2 2
0 0 2
2 2 0
2 0 1
2 2 2
1 1 0
1 2 0
2 1 0
10 6
1 1 2
0 2 1
2 2 2
0 2 0
2 0 0
0 0 0
2 1 2
2 0 2
2 1 0
1 2 0
10 8
0 1 2
0 2 1
0 2 2
1 2 1
2 0 0
1 1 0
0 0 2
2 2 2
1 0 0
1 0 1
10 6
3 2 0
0 0 0
0 0 1
2 3 3
3 3 0
2 1 3
0 1 1
1 0 0
1 1 3
0 3 0
10 7
2 0 1
0 2 1
1 1 2
2 2 2
2 0 2
0 2 2
0 1 2
2 1 2
0 0 2
2 1 1
10 8
3 0 2
3 3 0
1 1 0
0 0 3
2 0 3
0 0 1
0 3 0
1 3 2
0 1 1
2 0 1
10 3
0 0 3
2 2 1
3 1 0
1 0 1
2 0 2
1 2 3
2 2 3
2 3 1
1 0 2
0 0 0
10 4
2 2 0
2 1 1
1 3 3
0 3 0
1 1 0
2 0 2
2 3 0
3 2 3
3 3 2
2 0 1
10 9
1 1 0
1 2 0
2 1 0
1 0 1
0 1 1
0 2 2
2 1 1
1 0 0
2 0 0
0 0 1
10 2
1 2 2
0 2 2
0 2 0
2 1 1
1 1 0
0 0 2
1 0 1
2 2 0
1 1 2
0 2 1
10 3
1 1 2
2 1 1
1 2 0
1 0 1
1 0 0
0 1 0
1 2 1
1 0 2
0 1 1
0 2 2
10 6
2 1 1
2 2 0
1 0 0
0 1 1
2 1 2
0 2 2
1 2 1
2 0 1
2 0 2
0 1 2
10 8
2 3 1
0 0 2
3 0 2
0 1 2
3 2 2
3 2 0
1 3 2
1 2 0
0 3 1
0 0 1
10 4
2 0 0
2 0 2
2 2 0
0 0 0
2 0 3
1 1 2
2 2 1
2 0 1
1 3 1
3 2 0
10 4
2 1 0
0 3 0
3 0 0
3 3 2
0 2 1
2 1 2
1 3 1
0 2 2
0 3 3
0 3 1
10 7
1 0 0
2 0 0
1 1 1
2 1 0
2 0 1
2 0 2
0 2 0
2 2 0
1 0 2
2 2 1
10 5
3 0 0
3 3 1
2 1 0
1 2 0
2 0 0
3 0 3
2 2 2
2 1 2
3 2 2
1 0 3
10 7
2 0 2
1 0 0
1 1 1
0 1 0
2 2 2
1 2 2
0 1 1
2 1 0
1 0 2
0 2 1
10 5
0 1 2
2 1 1
0 0 0
2 0 2
2 2 0
0 0 1
2 0 0
2 1 2
1 2 1
0 2 0
10 3
0 2 0
0 0 1
2 0 0
2 2 2
1 1 2
2 1 2
2 2 1
2 2 0
0 1 2
2 1 0
10 8
0 1 3
3 3 3
1 0 3
0 3 0
0 0 3
2 0 3
1 3 3
2 3 3
3 2 0
0 0 1
10 7
2 2 0
2 2 1
0 1 0
1 2 0
0 2 2
0 2 0
0 1 2
2 1 1
0 2 1
2 1 2
10 4
3 3 3
0 2 0
3 1 0
1 1 0
0 1 2
2 0 3
3 2 2
1 1 2
0 3 3
3 3 2
10 8
2 1 1
1 1 0
0 2 0
1 2 0
0 1 1
2 0 2
2 0 0
1 2 1
2 2 1
0 2 1
10 2
2 2 0
1 2 0
2 0 1
2 0 0
0 1 2
1 2 1
2 1 0
0 1 0
2 1 1
0 2 0
10 2
2 1 2
2 1 0
2 2 0
0 1 0
0 0 1
2 2 2
2 0 1
2 1 1
1 1 2
1 2 2
10 5
0 3 1
2 0 3
2 1 2
2 2 3
2 3 1
0 3 2
0 2 2
2 2 1
0 0 1
2 1 0
10 3
3 1 3
2 1 1
0 0 2
3 1 1
0 2 3
1 3 2
0 1 2
3 2 1
1 1 3
0 0 3
10 9
3 2 3
2 1 1
3 3 2
3 2 1
1 1 1
0 2 1
3 1 1
2 1 3
3 0 2
3 1 3
10 3
2 3 2
1 3 0
1 2 2
2 2 2
0 0 3
0 0 0
1 0 3
2 0 1
3 3 1
0 2 3
10 4
0 0 2
1 2 0
2 0 1
2 1 2
1 1 2
1 2 2
0 0 1
1 0 0
2 2 0
1 0 2
10 7
1 0 1
0 0 2
0 1 1
2 2 0
0 2 2
0 2 0
2 1 1
1 1 2
0 0 0
0 2 1
10 5
2 1 2
1 0 0
1 0 1
0 2 1
0 1 0
0 2 2
0 1 1
2 2 1
1 1 2
2 1 1
10 4
2 0 0
0 2 0
2 1 2
0 1 2
1 1 0
1 0 2
1 2 1
0 0 0
0 0 2
1 2 2
10 2
1 1 0
2 2 0
0 0 1
0 2 0
2 0 0
1 1 1
1 1 2
0 1 1
1 0 2
2 1 1
10 4
1 2 1
2 2 1
2 1 2
1 0 1
0 0 1
0 2 0
0 1 0
0 1 1
1 0 2
2 2 2
10 9
3 1 3
3 2 1
0 1 1
3 3 3
3 3 1
2 3 3
1 3 2
2 3 2
1 1 0
1 1 2
10 9
2 0 1
1 2 2
2 2 1
2 0 0
1 0 2
1 1 2
1 1 0
1 2 1
0 2 2
0 1 1
10 4
1 1 3
2 2 1
1 1 2
2 0 3
3 2 2
1 2 1
0 1 0
0 0 0
0 3 3
1 0 0
10 2
0 1 2
0 1 0
0 2 0
1 2 1
1 1 0
2 1 0
1 2 2
0 2 1
2 2 1
1 1 1
10 5
2 0 2
2 2 1
2 0 1
0 0 2
0 2 2
1 0 0
1 1 0
0 0 1
2 0 0
0 1 1
10 2
1 2 1
3 2 0
3 2 3
1 2 2
2 2 2
1 1 3
0 2 3
2 0 3
0 3 2
3 1 1
10 7
0 3 3
1 3 3
1 1 0
3 1 3
0 2 1
2 3 0
0 2 3
0 2 2
0 3 2
2 2 2
10 2
0 2 0
1 0 2
1 2 1
1 1 1
0 2 2
0 1 0
0 0 1
2 1 2
2 2 2
1 1 0
10 9
0 0 0
2 0 0
1 2 2
0 2 0
2 0 2
0 0 2
1 2 1
0 1 2
2 1 2
0 2 2
10 7
3 1 0
3 0 2
0 2 3
2 2 1
1 1 0
1 3 0
3 1 1
2 1 2
2 3 1
0 2 2
10 5
0 0 2
0 1 3
3 2 3
0 2 2
2 1 0
2 2 3
2 3 0
0 1 1
2 3 3
1 2 1
10 9
2 2 1
0 1 3
1 1 3
3 2 2
3 1 1
2 2 2
2 3 3
1 0 2
3 1 3
3 2 3
10 6
2 2 3
1 2 0
2 2 2
0 1 1
1 3 2
0 3 0
0 0 3
1 0 3
2 1 3
3 2 1
10 7
1 1 2
2 0 0
0 2 0
2 2 1
1 0 1
0 1 2
0 2 2
0 1 1
2 2 2
1 1 0
10 7
2 1 0
1 2 2
2 0 2
2 1 1
1 0 0
2 2 2
1 0 2
2 0 0
0 2 0
0 0 2
10 9
2 1 1
1 1 1
1 2 2
2 0 2
0 2 2
0 1 2
1 0 2
1 2 1
0 2 1
1 0 1
10 9
1 3 3
0 0 2
1 0 2
1 0 3
1 2 3
1 3 1
2 0 3
2 0 1
3 0 3
0 3 3
10 7
2 1 1
1 0 0
3 0 2
2 0 3
0 1 3
3 0 0
2 3 0
3 0 3
1 0 1
0 2 1
10 8
1 0 1
3 1 0
3 2 1
2 1 2
1 2 1
1 1 1
3 0 3
3 1 2
1 0 0
2 3 3
10 4
2 1 0
1 0 2
0 0 2
1 1 0
1 2 1
0 1 2
1 1 1
2 2 1
1 2 0
2 0 2
10 2
2 2 0
0 3 1
3 0 3
1 1 2
1 1 3
2 0 1
3 2 3
3 0 0
0 1 3
1 2 3
10 4
0 0 2
2 0 1
2 2 0
0 1 3
1 2 1
3 0 2
2 3 0
0 1 2
1 0 0
3 2 2
10 9
0 2 0
2 2 2
0 0 1
0 1 2
1 1 2
1 2 2
2 1 1
2 1 0
1 1 1
2 2 1
10 6
1 2 0
2 2 0
0 2 0
1 0 1
2 0 1
1 2 2
2 0 2
0 1 0
0 2 2
0 1 1
10 6
0 0 0
0 2 1
2 0 1
1 2 2
2 1 0
0 0 1
2 1 2
2 2 0
0 2 2
1 2 1
10 5
3 3 1
2 0 3
1 1 0
0 0 2
0 2 2
3 2 3
0 0 3
2 1 1
2 0 0
2 2 3
10 3
0 0 1
3 1 1
1 0 2
1 3 1
3 3 2
0 0 2
3 2 0
1 3 0
3 1 2
1 2 3
10 5
2 1 0
2 2 0
0 0 2
1 2 2
0 2 0
2 2 1
0 0 0
0 0 1
1 2 1
2 1 1
10 2
1 1 1
1 2 2
2 0 0
2 0 1
2 2 2
1 0 1
0 0 0
1 0 0
0 2 2
2 1 1
10 6
2 0 0
0 2 2
0 1 1
0 2 0
2 1 2
0 2 1
2 2 1
0 1 2
1 2 1
0 0 0
10 8
2 1 1
2 0 0
1 2 2
2 1 2
1 0 0
0 1 0
1 1 2
2 2 1
2 0 2
0 0 0
10 2
2 2 0
3 1 0
0 0 3
2 2 1
0 1 2
3 1 1
0 0 0
2 3 3
3 2 1
0 0 1
10 4
2 0 1
3 1 3
2 3 3
0 0 1
1 3 2
0 1 2
3 1 2
2 2 3
0 2 2
0 3 1
10 5
3 3 0
1 3 3
1 0 2
1 3 2
3 3 2
0 3 3
3 1 3
3 0 3
3 3 1
2 1 0
10 4
2 2 0
0 1 2
3 1 0
3 2 0
0 3 0
0 0 1
2 0 1
3 3 0
2 0 3
2 0 2
10 8
0 2 1
1 1 0
2 1 2
2 0 1
0 1 2
2 1 1
2 0 0
1 2 0
0 2 2
1 1 2
10 7
2 0 0
0 0 1
1 0 1
1 2 2
2 0 1
0 0 2
1 0 2
1 1 2
2 2 2
0 0 0
10 5
3 0 1
2 0 3
1 2 1
1 1 3
0 2 0
0 1 1
1 0 2
2 2 2
0 3 3
0 1 2
10 6
0 0 2
1 0 0
1 0 1
2 0 1
2 2 1
1 2 1
0 1 1
2 2 0
0 1 2
1 1 0
10 9
1 0 1
2 2 0
1 2 0
0 1 1
1 0 0
1 2 1
1 1 0
2 1 2
2 0 0
2 0 1
10 2
2 2 2
3 2 1
1 2 3
3 2 3
2 1 1
2 2 1
2 2 3
3 0 2
1 2 2
3 2 0
10 7
1 0 2
1 1 0
1 0 1
2 2 1
2 2 0
0 0 2
0 1 0
0 1 2
1 2 2
1 2 0
10 4
1 0 2
0 1 1
2 1 0
0 1 2
2 0 2
2 2 1
1 1 2
0 2 2
2 1 2
1 2 1
10 9
2 1 0
0 3 0
0 2 1
3 2 2
1 2 3
3 3 3
1 0 0
2 2 2
3 0 3
0 0 1
10 8
2 1 0
0 1 0
0 1 2
2 1 1
2 0 2
2 0 0
0 2 1
1 1 1
0 1 1
1 0 0
10 6
2 0 2
3 0 3
1 0 1
3 1 2
3 0 2
3 3 3
0 3 3
1 0 0
3 0 1
3 1 3
10 9
3 1 2
2 3 0
2 0 0
3 0 1
3 3 0
2 0 1
0 3 1
0 2 3
3 3 1
2 3 2
10 4
1 0 2
2 3 3
1 1 3
2 1 0
0 3 2
1 0 1
3 0 3
0 1 2
0 1 1
0 0 0
10 9
2 1 2
0 3 0
0 3 2
0 0 2
2 0 0
2 3 3
2 3 0
1 0 0
0 2 2
0 3 1
10 2
2 2 0
2 0 1
0 0 1
1 2 0
2 1 2
2 0 2
1 2 1
2 2 2
2 2 1
0 2 2
10 5
0 1 1
2 2 0
1 0 2
1 1 0
0 2 0
0 0 1
2 0 2
1 2 1
2 0 1
0 0 0
10 4
0 1 0
1 1 0
0 1 2
1 2 1
2 1 0
0 0 0
0 0 2
2 0 0
1 0 2
0 2 2
10 9
2 0 1
0 2 2
1 0 2
1 1 1
0 1 2
2 2 0
1 1 0
0 2 1
1 2 0
2 1 1
10 3
1 0 2
2 1 0
2 0 0
0 0 0
1 0 0
2 2 1
1 2 0
0 2 0
0 0 1
0 2 2
10 2
2 1 2
2 2 0
0 1 0
1 0 2
2 0 1
2 1 0
0 2 0
2 0 2
1 2 0
2 0 0
10 6
3 0 0
1 3 1
3 3 0
1 0 3
1 1 3
3 1 2
0 2 0
2 1 1
0 2 1
1 2 3
10 4
3 1 0
0 0 3
2 3 3
2 3 0
0 1 0
0 0 2
1 3 2
0 3 3
3 0 3
0 3 0
10 7
1 0 2
1 0 0
0 0 1
2 2 0
1 1 1
0 1 0
1 2 2
2 2 1
2 0 0
1 0 1
10 8
0 0 2
0 0 1
0 2 1
0 2 0
2 1 1
2 1 0
1 0 1
2 0 0
2 2 0
1 1 0
10 6
2 3 2
1 3 3
0 0 3
0 2 0
2 0 0
3 3 2
1 3 2
3 2 2
2 1 0
3 0 2
10 7
3 0 2
3 1 1
3 0 0
1 1 3
2 2 2
3 1 0
2 1 3
2 0 1
1 1 2
3 2 1
10 9
0 1 2
0 2 1
0 3 3
2 2 0
3 2 2
1 2 3
3 0 1
2 0 3
1 0 3
2 3 1
10 6
1 1 2
1 3 1
2 1 0
0 0 2
2 0 0
0 1 1
3 0 1
0 1 0
3 3 0
1 2 1
10 8
1 2 2
2 0 0
1 1 1
1 2 1
0 1 0
2 0 2
1 1 0
2 2 0
2 1 0
0 2 2
10 3
2 0 1
2 2 1
2 2 0
1 0 0
1 1 1
1 0 2
2 1 2
2 0 2
0 0 2
1 2 1
10 8
1 2 2
1 2 1
2 1 0
3 3 1
2 2 2
1 3 2
0 1 1
1 2 0
3 0 3
0 2 3
10 6
1 2 1
2 1 2
1 1 2
0 0 0
0 1 0
2 1 1
1 1 1
1 2 2
2 2 1
1 0 1
10 9
0 2 2
2 1 2
2 2 0
2 2 2
2 2 1
2 0 1
1 1 2
0 1 2
1 0 1
0 2 1
10 3
3 0 0
0 1 3
0 1 1
1 3 0
3 1 1
3 1 3
0 0 3
3 0 1
3 1 0
2 0 3
10 7
0 0 1
1 3 3
2 1 2
0 1 2
2 3 0
1 0 0
0 2 3
2 1 0
2 2 3
0 0 3
10 3
0 2 0
0 1 0
2 1 1
0 2 1
1 2 0
2 1 0
1 2 2
2 2 1
0 1 1
2 0 2
10 5
0 2 2
2 3 2
1 1 2
1 3 1
2 1 2
1 2 2
2 2 2
1 2 3
1 3 2
0 1 1
10 5
1 1 2
0 1 1
0 1 0
2 1 1
0 2 2
2 2 2
1 1 1
2 0 1
2 2 1
1 0 2
10 3
1 0 2
2 2 3
1 3 1
1 1 0
0 1 2
1 2 2
0 2 1
3 1 2
3 2 1
0 0 1
10 5
1 1 2
1 2 0
1 1 1
2 1 1
2 0 2
2 0 0
0 1 1
0 2 2
2 0 1
1 0 0
10 7
1 0 2
0 2 2
1 1 0
2 1 0
2 0 2
2 1 2
1 2 0
2 2 0
0 1 1
0 0 0
10 3
1 1 0
0 0 2
0 2 2
2 0 0
1 0 2
2 1 1
1 1 1
0 1 0
2 1 0
0 0 1
10 6
1 1 2
2 1 0
0 0 2
2 2 0
0 2 0
2 2 1
2 2 2
1 2 0
2 0 1
1 0 2
10 6
2 1 3
3 2 3
1 0 1
3 2 0
2 3 3
3 3 2
1 3 1
2 0 1
3 2 2
0 3 1
10 9
0 2 1
2 1 1
2 0 0
2 2 2
1 2 0
0 1 0
2 1 2
2 0 2
0 2 2
2 2 0
10 8
1 2 0
2 0 1
1 2 2
2 1 1
1 1 0
0 0 0
2 1 0
0 1 2
0 2 2
2 0 2
10 3
0 0 0
2 1 1
2 1 2
0 2 1
2 0 0
0 1 0
1 1 1
1 2 1
2 0 2
2 0 1
10 6
3 0 2
0 1 1
0 0 3
3 0 1
1 3 0
3 1 1
2 3 0
2 2 3
2 3 2
0 3 0
10 2
1 0 2
0 1 1
0 2 1
1 2 0
1 0 1
2 0 1
2 0 2
2 2 2
0 0 1
1 1 2
10 8
3 2 2
3 3 3
3 2 0
0 3 2
2 3 3
0 0 3
0 2 0
2 1 0
1 1 2
0 3 1
10 5
1 2 0
1 2 1
0 1 2
2 0 2
1 0 1
2 1 0
0 0 2
1 2 2
2 2 0
1 1 1
10 3
2 0 1
2 1 2
0 3 3
3 2 2
3 2 0
1 1 1
2 1 0
3 0 0
2 1 1
2 0 0
10 3
0 1 1
2 1 3
3 1 0
3 2 0
0 0 0
0 3 1
2 3 1
3 2 3
3 1 1
1 1 2
10 2
0 3 1
3 0 3
1 0 2
1 2 0
1 1 2
1 2 2
2 3 0
2 1 0
2 3 3
3 0 0
10 4
0 0 0
1 1 2
0 0 1
1 1 0
2 1 2
2 1 1
2 0 0
0 0 2
2 2 1
1 1 1
10 5
2 1 1
1 1 1
1 0 0
1 1 0
2 0 2
1 2 1
1 0 1
0 1 2
0 2 2
2 2 1
10 6
1 2 2
2 1 1
1 0 0
0 1 0
2 2 1
0 1 2
0 0 0
0 2 1
2 2 0
0 2 2
10 5
1 1 1
3 0 1
1 0 1
3 3 0
0 2 3
1 2 3
1 3 3
3 0 0
0 3 0
0 1 1
10 2
0 3 3
0 0 3
3 0 0
0 3 1
0 2 2
3 0 2
2 0 0
0 0 2
1 2 1
1 0 1
10 8
1 0 1
0 2 1
0 2 2
0 1 2
2 2 1
2 1 1
2 0 0
1 0 2
0 0 0
0 0 1
10 2
2 1 0
2 2 2
2 1 2
0 0 2
1 1 1
2 2 0
0 2 1
2 1 1
0 0 1
0 1 2
10 2
2 0 1
1 1 0
2 1 1
1 0 0
1 0 2
0 1 1
1 2 2
0 0 0
2 2 2
0 2 2
10 4
2 1 2
1 2 1
1 1 0
1 0 0
0 1 0
0 1 2
2 0 1
1 0 2
2 2 2
1 1 2
10 8
2 1 2
2 2 0
1 1 2
1 0 1
2 0 1
2 1 1
0 2 2
0 0 2
0 1 2
0 1 1
10 4
1 2 1
1 0 1
1 0 0
2 1 1
0 2 1
1 2 2
1 2 0
2 2 2
2 0 1
0 0 0
10 3
0 2 0
1 2 0
2 0 1
2 1 1
0 3 0
0 2 1
3 0 1
0 0 1
1 1 1
3 0 0
10 2
0 2 1
1 1 2
2 2 2
1 0 2
2 0 1
0 0 2
1 2 1
2 1 1
2 0 2
1 2 2
10 7
2 0 2
0 3 2
3 3 3
1 3 1
3 3 2
1 0 0
0 3 0
0 0 2
0 1 1
3 0 1
10 8
2 0 0
1 1 1
1 2 2
0 1 2
0 2 0
2 2 0
1 2 0
2 0 2
0 0 1
0 0 2
10 6
1 1 1
1 2 2
2 0 1
0 2 0
1 0 2
0 2 2
0 1 0
2 1 1
1 1 2
0 1 2
10 2
0 2 0
1 1 2
1 1 0
2 0 1
0 1 1
2 1 0
1 2 2
2 1 2
0 1 2
2 1 1
10 4
3 3 3
2 3 3
2 0 2
1 3 1
3 1 2
2 2 0
3 2 3
2 3 1
1 1 2
2 1 0
10 4
0 2 2
1 1 2
0 2 1
1 0 1
2 1 0
1 1 1
0 0 0
1 0 2
2 0 0
0 0 2
10 7
3 3 2
3 1 1
0 3 1
3 0 3
1 1 3
2 0 1
2 2 2
1 0 1
0 1 2
3 1 0
10 6
3 3 1
3 3 3
2 2 0
2 0 0
1 1 0
2 0 2
1 0 1
2 2 3
0 2 1
2 2 1
10 3
3 0 3
2 2 3
1 2 2
2 0 3
3 0 0
0 2 2
1 3 3
3 2 3
2 2 2
0 3 2
10 3
1 0 0
2 1 0
0 0 3
2 1 3
1 1 2
2 0 0
2 1 1
3 0 3
3 0 2
3 1 0
10 5
1 2 0
1 0 0
1 0 1
0 2 2
0 2 0
1 2 1
0 0 0
2 2 2
0 1 1
2 2 0
10 2
0 0 1
1 0 0
0 1 1
0 0 2
1 0 1
1 0 2
0 2 1
1 1 1
0 0 0
1 2 2
10 6
2 0 1
0 1 1
2 2 0
2 1 2
0 2 2
0 0 1
1 1 0
2 1 0
1 1 1
0 2 1
10 9
1 1 0
2 0 0
1 0 2
1 1 2
0 0 2
2 2 2
2 1 0
2 1 1
1 0 1
1 0 0
10 2
1 2 1
1 0 2
0 1 0
2 1 2
1 0 1
0 0 2
1 1 2
0 2 1
2 0 0
0 1 1
10 6
1 2 2
2 1 0
1 2 1
2 0 1
0 1 1
2 0 0
1 0 1
1 0 2
0 2 0
0 2 1
10 6
3 0 3
3 0 0
2 2 3
0 0 1
1 0 3
3 2 1
3 1 2
3 0 1
0 2 0
1 0 1
10 4
1 0 1
0 0 2
2 2 2
0 0 0
2 2 1
1 2 1
0 2 0
2 0 1
0 0 1
1 2 0
10 4
0 3 1
3 3 2
1 0 1
3 0 0
2 3 1
0 1 0
0 3 2
2 2 3
1 3 0
0 0 2
10 6
2 0 0
0 0 1
2 1 1
2 1 2
2 2 2
2 2 0
1 1 0
1 0 1
1 1 1
1 0 0
10 4
2 0 2
0 1 1
2 2 0
0 0 1
1 2 2
2 1 1
1 0 2
0 1 2
1 0 1
1 1 1
10 6
3 2 2
1 1 1
1 2 0
0 1 2
2 1 0
2 0 2
0 0 3
3 0 0
3 3 0
0 2 3
10 8
0 1 2
2 1 0
2 2 2
1 0 1
2 2 1
0 1 1
0 2 1
1 1 0
0 0 2
2 1 1
10 4
3 3 3
0 2 2
3 3 2
1 3 3
1 1 0
1 2 3
1 2 2
2 1 2
1 3 2
0 1 3
10 5
1 1 0
0 1 2
0 2 0
2 1 0
2 1 1
2 0 2
1 1 1
0 0 2
1 0 1
0 0 0
10 3
1 2 2
2 0 2
2 2 0
0 2 1
1 0 2
1 0 0
2 1 2
1 0 1
0 2 0
0 0 1
10 2
1 0 1
0 2 1
2 1 2
1 0 0
1 2 1
0 1 2
1 2 2
0 1 1
2 0 0
2 2 1
10 2
0 3 2
2 3 3
1 0 3
0 0 3
1 0 2
2 2 1
3 0 0
1 1 3
2 1 3
0 1 1
10 5
1 0 2
2 3 2
2 1 2
2 3 3
3 2 2
0 1 0
2 0 2
3 1 0
2 0 0
3 3 0
10 7
0 0 0
0 1 0
0 2 2
2 1 0
2 1 2
1 2 0
1 0 0
2 0 2
1 0 1
0 2 1
10 3
2 2 2
0 0 0
2 0 1
1 2 2
0 0 2
0 2 0
0 2 1
1 0 0
0 1 1
0 1 2
10 9
3 0 3
2 0 2
1 3 0
2 3 0
1 1 1
3 2 3
1 0 1
1 2 3
1 3 2
0 2 1
10 8
0 0 2
0 2 1
2 0 2
2 0 0
1 2 0
2 0 1
1 0 0
0 0 1
2 1 2
0 1 0
10 7
1 1 0
1 2 2
0 0 0
0 1 2
1 2 1
2 2 1
2 0 1
1 1 2
2 2 2
1 0 2
10 8
1 2 3
3 3 1
3 0 3
2 0 0
3 1 3
2 1 2
1 3 2
2 2 1
0 1 2
0 0 0
10 5
0 0 0
1 0 0
0 1 2
1 0 1
2 0 0
0 1 1
0 0 2
1 1 2
1 2 1
0 1 0
10 4
0 0 1
3 1 3
3 3 0
2 2 1
1 2 1
0 2 2
0 1 1
2 0 3
0 1 2
0 3 0
10 6
0 2 2
2 1 1
1 2 0
1 0 0
2 1 0
2 0 0
2 0 2
2 0 1
1 2 2
1 0 1
10 6
3 1 1
1 0 2
1 1 3
1 3 3
0 2 3
3 1 2
2 1 3
0 3 0
1 1 1
3 3 2
10 4
3 2 3
0 2 0
3 1 0
0 1 2
3 3 2
3 1 3
3 3 0
1 1 2
3 2 2
0 2 2
10 4
2 1 0
1 1 0
0 0 1
2 2 0
1 1 2
1 2 0
0 2 1
2 2 1
1 0 2
2 0 2
10 5
0 1 1
0 1 2
2 2 0
2 2 1
1 0 2
2 1 1
1 1 0
0 2 2
2 1 0
0 0 0
10 5
1 0 2
0 1 0
0 1 2
1 1 0
0 0 0
2 2 0
1 0 0
1 2 0
2 0 2
2 2 1
10 3
0 2 0
0 2 1
2 0 1
0 0 2
2 1 0
2 2 2
2 1 2
2 1 1
2 0 2
0 0 1
10 5
1 2 2
0 2 2
0 1 1
0 2 1
2 2 2
0 2 0
1 2 0
1 0 1
2 0 0
0 0 1
10 8
1 2 0
0 1 3
2 1 2
0 3 0
3 1 3
2 0 1
2 3 3
3 2 3
3 1 2
1 1 2
10 8
3 2 3
3 0 2
3 1 0
1 1 3
3 0 0
2 2 3
0 0 1
3 0 1
0 0 3
1 1 0
10 8
0 0 0
2 0 0
1 1 0
1 1 2
1 1 1
1 0 1
1 0 2
2 2 0
0 1 0
2 1 0
10 4
0 0 3
2 1 2
1 3 1
1 3 2
0 1 0
2 3 3
0 3 2
3 2 2
2 2 2
3 1 3
10 7
2 1 0
2 3 2
1 2 1
3 1 1
3 0 1
0 1 1
3 3 0
1 1 2
1 3 2
1 1 1
10 7
1 2 0
0 2 2
2 2 1
2 0 2
1 1 1
2 0 0
2 1 1
0 2 1
0 0 2
0 1 1
10 6
0 2 2
1 0 2
2 1 0
0 1 0
1 1 0
0 2 1
2 0 1
2 2 0
2 1 2
2 0 2
10 9
3 1 2
1 3 1
0 0 2
2 2 3
1 0 1
3 1 1
0 0 3
3 2 0
0 3 0
2 2 2
10 7
3 0 3
3 3 1
3 3 3
0 3 2
2 2 3
2 3 3
0 0 0
0 2 3
1 2 1
0 1 0
10 2
1 0 0
1 0 2
2 0 2
2 2 0
2 0 1
2 1 0
1 1 0
2 2 1
1 1 2
1 2 1
10 2
2 3 2
1 3 1
0 0 1
1 2 0
1 3 0
1 2 2
1 1 1
2 1 1
2 2 0
1 3 3
10 9
3 1 0
3 2 1
3 0 3
0 2 3
2 0 1
1 1 3
0 1 3
0 3 3
3 3 0
2 2 1
10 4
0 1 3
3 0 2
3 3 3
1 2 0
1 1 0
3 1 2
1 3 1
2 3 1
2 3 0
3 0 3
10 3
2 0 3
3 2 3
3 0 0
3 0 3
3 3 1
3 2 2
3 2 0
3 2 1
0 1 0
1 1 3
10 4
2 2 2
1 0 2
2 1 1
0 2 2
0 2 1
0 2 0
2 0 0
1 1 2
1 2 2
0 0 2
10 6
1 3 3
0 2 1
2 2 3
0 2 0
3 0 3
2 0 1
0 0 2
2 2 2
3 2 0
0 0 1
10 8
3 3 3
0 2 1
3 2 1
3 1 2
3 2 0
2 0 0
2 0 1
3 3 2
1 0 1
2 3 0
10 5
1 2 1
0 2 0
0 0 0
0 1 0
2 2 1
2 0 2
1 0 0
2 0 0
2 1 2
1 0 2
10 8
2 0 1
1 2 0
2 1 1
1 0 1
0 0 1
1 0 2
1 1 0
0 2 0
1 0 0
0 0 0
10 9
0 2 2
0 1 2
2 2 2
2 0 2
0 1 0
0 0 1
1 1 1
1 0 0
1 1 2
1 0 2
10 3
1 0 2
2 2 2
1 2 2
2 2 0
2 0 0
1 1 1
0 2 1
0 1 1
1 1 2
2 1 1
10 7
1 1 1
0 2 1
1 0 0
2 2 1
0 2 2
2 1 1
2 0 1
2 0 2
1 1 0
0 1 0
10 3
1 0 1
2 2 0
0 0 2
0 1 2
0 1 0
1 2 0
1 2 2
0 1 1
0 2 1
2 0 2
10 2
0 1 2
2 0 1
0 2 1
2 1 1
1 1 2
0 2 2
0 0 0
2 1 2
0 2 0
0 1 1
10 5
3 0 3
0 2 0
1 1 2
2 2 1
1 1 1
1 0 1
3 2 0
0 2 2
0 0 0
2 3 0
10 9
1 2 1
1 0 1
1 1 1
1 0 2
0 1 0
2 0 0
2 2 0
1 2 0
2 2 1
0 2 2
10 2
0 1 2
1 2 1
1 1 2
1 1 0
2 0 2
0 0 2
0 2 0
2 1 1
2 2 1
1 1 1
10 2
1 0 2
0 0 0
2 0 1
1 1 1
1 1 2
0 2 1
2 2 0
1 2 2
1 0 0
0 2 0
10 6
0 2 3
1 0 3
2 1 1
2 2 0
2 2 2
3 2 3
0 1 1
1 1 0
1 3 3
0 1 0
10 7
2 0 0
2 2 0
0 2 2
2 1 2
3 1 0
0 0 2
2 0 2
3 3 0
2 1 1
2 2 3
10 2
1 0 2
1 2 2
2 1 0
0 0 1
1 0 1
0 1 0
0 1 1
1 0 0
2 2 0
2 2 2
10 8
1 1 1
1 1 0
0 2 0
0 2 2
2 0 0
0 0 1
2 2 0
2 2 2
2 0 1
1 1 2
10 7
1 2 0
1 2 1
2 2 2
2 0 1
0 0 1
2 1 0
0 2 0
1 1 2
0 1 0
2 1 1
10 5
1 2 0
3 3 0
1 3 1
0 3 2
2 0 3
3 2 3
1 2 3
1 1 3
3 3 2
2 0 1
10 5
3 2 0
0 2 3
1 0 2
1 3 2
1 1 2
2 0 0
0 2 2
1 2 1
0 0 0
0 1 3
10 9
0 0 0
2 0 0
0 1 1
0 1 2
1 1 2
1 0 0
0 2 2
1 1 1
0 1 0
2 1 1
10 8
3 3 2
0 0 2
2 3 2
3 1 0
2 3 1
2 2 1
3 1 3
0 2 3
2 1 0
3 3 3
10 3
0 2 1
0 1 0
2 2 0
2 2 1
1 2 1
0 1 2
1 1 0
2 2 2
1 0 0
0 0 2
10 5
0 1 2
2 1 1
0 1 0
2 0 1
1 0 2
2 1 2
0 2 1
1 2 0
0 1 1
0 2 0
10 9
2 2 2
2 2 0
1 2 2
1 1 0
1 0 2
2 0 0
1 2 1
2 1 2
2 0 1
1 1 2
10 3
2 2 1
0 3 0
3 1 2
0 3 3
0 2 1
2 0 1
0 2 2
2 1 2
1 3 0
1 2 1
10 5
0 2 1
2 0 2
0 0 2
1 0 0
1 1 1
2 1 2
0 2 0
2 0 1
1 0 2
2 0 0
10 8
1 1 1
2 3 2
1 0 2
2 1 0
1 0 3
1 3 2
3 0 1
3 0 0
2 0 1
2 0 2
10 4
3 3 3
2 2 3
3 0 3
1 1 3
3 3 1
3 2 1
0 2 1
0 3 1
3 0 0
1 2 0
10 9
3 0 3
1 3 0
3 2 1
0 0 3
1 0 0
2 3 3
2 1 3
1 2 3
3 0 0
1 1 3
10 5
0 2 1
0 1 0
0 0 1
2 2 0
0 0 0
1 2 2
1 0 0
1 2 1
1 0 1
2 2 1
10 9
2 0 3
2 2 0
3 3 3
3 2 2
2 1 2
0 2 3
1 3 0
0 0 2
2 2 1
0 0 3
10 6
0 2 1
1 0 0
0 1 1
2 2 2
0 0 0
0 0 1
2 0 0
2 1 2
0 0 2
2 0 1
10 7
2 0 1
2 1 0
0 2 2
2 0 0
0 1 2
1 2 1
0 0 0
1 2 0
1 2 2
2 2 0
10 4
2 1 2
1 1 3
3 0 0
0 3 1
2 1 1
3 1 0
2 0 3
2 2 2
0 1 0
2 1 3
10 2
2 3 2
3 3 1
3 1 3
1 3 1
3 3 0
0 0 2
3 0 3
1 3 2
3 2 1
0 3 2
10 6
0 0 0
0 0 2
0 2 0
0 3 3
2 3 0
0 3 1
0 0 1
1 3 0
1 2 1
3 0 2
10 5
1 0 2
2 1 1
0 1 0
2 2 1
1 1 2
0 0 0
1 0 0
2 1 0
1 1 1
2 1 2
10 5
0 0 1
2 2 2
3 0 2
2 0 3
0 2 3
1 3 2
3 2 3
0 2 2
1 3 1
2 1 2
10 2
0 2 2
0 1 0
0 0 2
2 1 3
2 0 2
3 1 1
1 1 2
3 3 2
1 2 3
3 0 1
10 4
1 1 1
0 1 1
2 0 2
0 1 0
0 0 1
0 2 2
2 1 2
0 1 2
2 1 1
1 0 0
10 4
1 2 2
0 0 2
0 2 1
0 0 0
1 0 2
1 1 1
1 2 0
2 1 0
2 2 1
0 1 0
10 5
0 2 1
1 1 2
1 2 2
0 0 0
1 2 1
1 0 1
1 2 0
1 0 2
0 1 0
0 1 1
10 6
2 2 2
0 0 2
1 0 1
1 1 0
2 1 1
0 2 2
0 0 0
2 0 2
2 0 1
2 2 1
10 9
2 3 3
0 3 3
3 0 1
0 2 1
1 3 3
1 0 0
0 1 3
0 0 3
3 3 1
3 2 1
10 8
3 1 3
0 3 0
0 2 1
0 3 1
1 3 2
3 1 2
0 0 0
2 0 3
0 2 0
0 3 2
10 9
2 2 1
0 0 1
0 1 0
1 0 0
0 0 2
0 1 1
1 2 0
2 1 0
2 1 2
1 1 1
10 4
1 0 1
0 0 0
1 0 0
2 2 1
1 0 2
1 1 1
0 2 1
1 1 0
2 2 2
2 1 2
10 3
0 0 1
0 1 0
0 0 0
1 1 1
2 1 2
1 1 2
0 1 1
1 0 0
2 1 0
2 1 1
10 7
0 2 0
2 0 2
1 2 3
2 0 1
1 2 2
0 1 3
0 2 1
3 3 0
3 1 1
3 1 3
10 6
0 1 2
1 0 1
2 1 2
2 0 2
2 2 1
1 1 1
1 1 2
0 2 0
2 1 0
0 2 1
10 7
1 0 3
2 2 2
1 3 1
1 1 1
0 0 1
2 3 2
3 1 2
3 2 1
0 0 3
3 0 0
10 5
1 2 0
0 2 2
3 3 2
2 3 0
3 0 0
2 0 1
2 3 3
3 1 0
1 3 1
0 1 0
10 8
0 1 2
1 2 2
1 1 2
0 1 1
1 2 0
2 0 1
1 0 1
0 0 1
2 1 2
1 0 0
10 9
0 2 1
3 0 3
2 1 0
2 2 1
1 1 3
3 3 3
1 1 2
2 1 1
0 2 3
0 2 2
10 3
0 2 1
1 1 2
0 1 0
0 0 2
3 3 3
1 2 0
2 1 2
2 2 3
0 2 2
1 0 2
10 3
1 2 2
2 2 0
0 1 2
0 2 1
2 0 1
1 2 1
1 2 0
0 1 0
0 0 2
0 0 1
10 9
0 0 1
0 2 0
2 0 1
1 2 1
2 2 2
1 2 0
2 2 0
0 0 0
0 1 2
2 0 0
10 8
2 2 0
0 1 3
2 0 3
3 0 0
0 1 1
2 0 0
3 2 2
0 3 2
0 2 3
1 1 0
10 6
0 0 0
2 1 0
0 1 1
1 2 2
1 0 0
0 2 2
2 1 1
2 2 2
2 0 0
0 0 2
10 5
1 3 0
2 0 2
3 1 0
2 2 1
2 2 3
0 1 0
2 3 1
0 1 3
0 1 2
0 2 0
10 4
1 2 2
0 3 2
2 3 2
3 1 2
0 3 0
2 0 1
1 0 2
2 0 0
2 3 3
1 1 1
10 8
1 1 0
1 0 0
2 1 0
1 2 0
1 0 2
0 0 2
0 0 0
0 1 1
2 1 1
2 0 2
10 3
0 1 1
1 2 1
0 2 1
2 2 0
2 0 0
0 2 2
1 1 2
0 0 2
2 1 0
0 1 0
10 8
0 1 0
0 0 0
3 1 1
3 3 0
2 0 0
0 1 3
1 0 1
1 1 3
2 1 0
1 2 0
10 8
2 2 0
2 1 2
1 1 1
2 0 0
2 0 2
0 2 1
1 1 0
1 2 0
1 0 2
1 2 1
10 4
2 2 2
2 1 1
1 0 0
1 1 1
1 1 2
0 0 0
1 0 2
0 2 0
2 2 0
2 0 2
10 3
1 1 0
3 3 0
1 3 2
3 0 2
2 2 0
0 0 3
3 0 3
2 3 2
0 3 0
1 0 2
10 2
2 0 0
1 2 2
2 1 0
0 0 2
0 2 1
2 2 0
2 0 2
1 0 1
2 0 1
1 1 0
10 2
2 2 2
1 2 0
0 2 2
0 0 0
1 0 0
2 1 1
2 0 2
0 0 2
1 1 2
2 1 0
10 5
3 2 2
1 1 3
2 2 1
1 3 2
2 2 0
3 1 2
3 0 1
0 0 3
1 1 0
3 3 2
10 4
3 2 1
2 2 0
3 0 0
1 1 3
0 3 2
0 1 0
2 3 3
2 0 1
0 1 2
3 3 1
10 6
0 3 2
1 2 0
2 3 0
1 2 1
3 2 3
2 3 1
1 1 1
0 0 2
2 0 3
2 3 3
10 2
2 1 2
1 0 0
2 1 1
0 1 1
0 2 0
1 0 2
2 1 0
1 1 2
0 2 1
2 2 2
10 2
0 0 0
2 1 2
0 1 1
0 2 2
2 1 1
1 2 2
2 0 2
1 0 2
2 1 0
2 2 0
10 9
1 2 0
1 1 2
1 0 0
0 0 1
2 0 0
2 0 1
1 2 1
0 1 1
0 1 2
2 2 1
10 4
2 1 2
0 0 3
0 1 2
3 0 2
1 2 3
0 1 1
2 0 0
1 3 3
3 0 0
0 2 3
10 5
1 0 1
2 2 1
2 2 3
2 1 0
3 1 2
1 2 3
0 1 0
0 2 3
0 3 3
1 0 2
10 7
1 0 3
2 0 3
3 3 3
0 2 1
2 2 2
0 1 0
2 0 1
2 2 1
1 1 1
0 2 3
10 8
0 0 0
2 0 1
0 1 0
0 2 2
2 0 0
1 1 1
1 0 1
2 2 1
1 0 0
0 0 2
10 2
0 0 1
2 1 2
1 1 2
1 0 0
0 2 2
1 2 2
0 1 0
1 2 0
1 2 1
1 1 0
10 8
1 2 3
2 0 0
0 0 1
3 3 3
1 1 1
3 0 2
3 1 0
0 1 0
3 0 1
2 0 3
10 5
0 3 1
1 3 2
0 1 1
0 0 2
3 3 2
0 3 2
2 3 2
2 3 1
1 2 2
1 1 3
10 2
2 0 1
3 1 2
3 0 1
0 3 0
2 1 0
3 3 0
1 0 0
1 0 1
3 0 3
3 0 2
10 3
2 2 1
0 1 3
3 1 0
2 3 0
3 2 3
0 2 0
1 0 3
1 3 0
0 0 2
2 1 2
10 2
1 0 1
1 1 1
0 0 1
1 2 0
2 0 1
1 0 2
0 0 2
1 1 2
0 0 0
0 1 2
10 5
1 1 0
0 1 3
3 1 2
1 3 2
2 3 3
1 0 1
3 0 3
3 0 2
0 1 1
2 3 2
10 8
0 3 0
1 2 0
1 1 3
0 2 0
3 2 2
0 2 2
3 2 0
2 1 3
2 3 1
3 3 2
10 4
1 3 2
1 1 2
0 1 0
0 2 0
2 2 0
0 0 0
2 3 1
2 3 3
3 2 0
3 0 3
10 6
1 1 2
0 0 0
1 1 1
1 2 0
0 1 2
1 0 0
0 0 2
0 2 0
0 0 1
1 2 2
10 5
3 1 1
1 2 1
0 1 0
0 3 3
0 3 2
0 0 3
1 2 0
0 3 0
2 3 1
3 3 0
10 7
0 2 2
1 0 0
2 1 2
1 0 1
2 1 1
2 1 0
2 0 2
0 0 2
1 1 1
1 2 2
10 5
0 1 0
2 1 0
1 1 2
2 1 2
0 0 1
1 1 1
1 2 2
2 2 0
0 0 0
0 0 2
10 9
1 1 0
1 2 1
1 0 2
1 0 0
0 0 2
2 1 1
0 2 0
2 2 1
2 0 1
0 0 1
10 7
3 3 3
3 0 0
3 2 2
2 3 0
1 0 2
0 1 0
3 2 3
0 2 1
0 3 1
1 3 2
10 9
1 0 0
2 1 0
0 0 0
2 0 1
0 1 1
1 0 2
1 1 0
0 1 0
0 2 1
2 2 1
10 9
1 3 1
2 1 3
3 1 3
0 0 1
0 3 2
3 2 2
2 1 1
2 0 3
1 3 3
0 1 0
10 5
1 1 1
2 2 0
0 0 3
3 2 2
3 1 1
3 2 1
1 2 1
2 0 1
2 2 3
2 2 1
10 2
3 0 0
2 3 3
0 1 3
0 2 3
2 0 3
3 2 2
0 0 2
1 2 3
2 0 0
3 0 2
10 8
1 2 0
3 3 2
2 3 3
0 3 0
0 1 1
3 0 0
3 1 2
3 2 0
2 1 0
3 0 1
10 3
3 0 3
0 1 1
1 2 2
3 2 0
3 1 3
2 3 0
2 1 3
1 1 3
0 1 3
3 1 0
10 4
0 0 1
2 1 0
1 0 0
0 2 2
1 0 2
2 1 2
0 0 2
0 1 0
1 2 1
1 1 1
10 6
3 3 2
0 1 3
1 2 2
1 3 1
0 0 1
1 3 0
2 2 2
1 0 3
0 1 0
1 2 0
10 8
1 1 0
2 0 0
1 0 2
2 1 1
2 1 2
0 2 1
0 0 2
2 2 2
0 1 0
1 2 1
10 3
0 2 1
1 2 2
2 1 0
0 1 2
1 1 0
2 2 1
2 0 0
2 0 2
1 2 0
0 0 1
10 4
1 2 0
2 0 1
1 1 2
1 2 1
2 2 2
2 2 1
1 2 2
1 0 1
2 1 1
0 1 0
10 4
0 1 0
0 0 1
3 2 3
0 2 2
1 2 0
3 0 0
1 1 0
2 0 1
3 1 3
2 2 3
10 6
1 2 1
3 1 1
3 0 0
0 3 3
2 1 1
0 0 3
0 3 2
2 1 0
2 2 1
2 2 0
10 7
1 3 1
1 3 3
0 3 3
0 0 0
1 1 3
3 1 0
0 1 2
3 1 1
1 0 0
2 2 3
10 7
1 0 2
1 1 0
0 0 2
1 0 0
2 0 2
0 2 0
0 1 1
0 0 1
0 2 1
2 1 2
10 9
0 0 2
1 3 0
1 1 2
2 1 1
1 1 1
2 2 0
0 3 2
3 0 2
0 2 0
3 2 2
10 4
0 2 2
1 1 0
3 0 0
2 0 0
1 0 0
2 1 2
2 1 1
1 2 0
2 0 2
0 1 3
10 2
0 2 0
1 1 0
3 2 1
2 1 2
2 0 0
3 2 0
0 1 2
3 1 1
2 3 3
0 0 1
10 7
0 0 1
1 1 2
2 2 1
2 1 0
2 1 2
1 0 0
1 2 1
0 1 0
1 0 2
0 2 1
10 2
0 0 2
0 1 2
0 1 0
1 2 2
1 0 1
2 2 1
2 0 0
1 0 2
2 0 1
2 1 1
10 6
0 3 3
1 1 3
1 0 2
1 2 1
0 2 0
2 3 2
0 0 1
2 0 3
2 3 0
1 3 3
10 2
3 3 0
3 3 3
2 3 0
2 2 0
2 3 1
0 1 1
2 2 3
2 0 2
1 0 1
2 3 3
10 9
1 3 3
1 1 3
2 1 2
0 3 0
2 0 2
3 1 0
0 3 2
3 3 1
0 3 1
2 3 3
10 7
1 3 3
3 1 3
0 1 3
0 1 1
2 3 3
0 1 0
2 1 2
2 1 0
2 2 1
2 2 0
10 4
1 1 0
1 0 1
0 2 0
0 1 2
2 1 2
1 2 2
0 1 0
0 2 1
2 1 0
0 1 1
10 3
0 0 3
0 2 0
3 1 2
2 1 0
1 0 2
2 0 0
1 3 1
2 3 3
3 2 3
1 1 3
10 3
2 3 2
1 0 0
1 3 1
0 3 1
1 1 0
2 1 0
0 1 3
0 0 3
1 2 3
1 1 3
10 8
1 0 1
0 1 2
2 2 1
1 0 2
0 1 0
2 0 0
1 2 1
0 0 2
2 2 2
0 2 0
10 7
0 0 3
2 3 2
3 2 2
2 0 2
0 1 0
0 0 0
0 0 1
2 0 3
0 2 0
0 1 1
10 7
0 2 0
0 1 1
3 2 2
3 0 3
1 3 0
2 3 2
0 2 3
1 2 3
2 1 2
3 3 3
10 7
1 2 0
1 3 1
1 1 3
2 2 0
3 2 2
2 1 0
3 1 1
1 3 0
3 0 2
0 0 1
10 9
3 3 3
1 3 2
0 2 2
2 3 1
0 2 3
2 1 1
0 0 3
1 3 1
3 2 2
2 1 2
10 5
2 2 1
2 1 1
1 0 0
1 2 2
1 0 2
0 0 2
0 1 0
2 1 2
0 2 0
2 2 0
10 6
1 1 0
1 1 1
1 3 2
0 0 3
1 2 2
1 0 3
0 2 3
0 1 0
0 2 2
2 0 2
10 7
2 3 3
2 2 1
1 3 0
1 0 2
2 1 3
0 1 2
2 3 0
2 3 2
3 3 3
2 1 0
10 3
0 1 0
0 2 1
0 1 2
0 2 2
2 1 1
0 0 0
0 0 2
2 0 0
1 0 0
1 2 0
10 7
1 1 2
0 2 1
2 1 0
1 0 2
2 2 0
2 0 1
0 0 2
1 2 2
0 1 0
1 2 1
10 7
0 1 1
0 1 0
2 0 1
0 2 2
1 2 0
2 1 0
1 2 1
0 0 2
2 2 2
1 2 2
10 7
1 3 0
0 2 1
0 0 2
3 0 0
3 3 0
2 2 1
1 0 0
2 1 2
0 1 2
0 3 1
10 6
1 2 2
1 0 0
0 1 1
1 0 2
0 1 2
1 1 2
2 0 2
2 2 2
0 2 2
2 1 2
10 5
2 1 0
0 1 0
0 2 2
0 2 0
1 2 2
0 2 1
2 0 1
0 1 1
2 0 2
0 0 0
10 9
0 2 1
2 1 1
1 1 2
0 1 0
1 2 1
1 2 0
1 0 0
1 2 2
0 0 1
2 0 1
10 6
2 1 0
2 2 0
0 1 2
1 2 2
0 0 2
0 1 1
1 2 1
1 0 1
0 2 0
1 1 2
10 7
1 1 2
2 3 3
2 1 3
3 3 0
0 1 1
0 0 1
2 0 2
2 3 1
1 1 1
0 1 0
10 2
0 2 1
1 0 0
0 0 2
0 0 1
1 1 0
2 2 2
1 0 1
2 0 0
1 1 2
0 2 2
10 9
2 2 2
0 0 1
2 0 1
2 1 0
2 0 2
2 2 1
1 0 2
0 0 2
2 1 1
1 2 1
10 6
1 3 3
3 0 1
2 1 2
2 3 2
0 3 2
0 0 0
2 1 3
0 1 3
3 1 2
2 0 2
10 8
2 1 0
2 2 0
2 0 1
1 1 2
0 2 2
1 1 1
2 0 0
2 1 1
1 2 1
0 2 1
10 5
0 1 0
2 2 1
2 0 2
1 2 2
1 0 2
1 2 0
0 2 1
2 2 0
0 1 1
1 0 1
10 2
3 3 1
3 1 1
2 0 0
1 0 3
2 3 3
2 1 3
2 0 2
0 2 0
3 2 1
2 1 0
10 2
1 0 0
0 0 1
1 0 2
2 2 0
2 2 2
1 2 1
1 1 0
2 1 0
0 0 2
1 2 2
10 3
1 0 2
2 1 0
0 0 0
2 2 0
2 0 0
0 2 1
2 2 1
1 1 2
1 1 0
2 1 2
10 3
0 1 2
2 1 3
1 3 3
1 1 1
0 2 3
0 2 1
2 0 1
3 2 2
0 0 1
3 1 3
10 7
1 2 1
1 0 2
0 1 2
2 1 2
1 1 2
2 0 2
0 2 2
1 1 1
2 1 0
0 0 0
10 7
1 0 1
1 3 1
3 1 3
0 3 3
3 1 1
3 1 0
0 3 0
3 0 0
2 0 0
0 1 1
10 4
0 2 2
1 0 1
0 1 1
1 2 0
0 0 1
2 1 0
2 0 1
1 2 1
0 0 0
1 2 2
10 5
0 2 2
0 0 1
1 0 0
0 0 0
0 2 1
2 1 1
1 2 1
2 1 0
0 1 1
0 1 2
10 4
2 0 1
0 0 0
0 2 0
2 0 0
0 1 2
1 1 2
1 0 1
0 0 1
1 0 0
0 1 1
10 2
1 2 0
0 0 0
0 2 1
1 1 1
0 1 0
2 2 0
1 2 1
0 1 1
2 2 2
2 0 1
10 8
1 2 0
2 3 0
3 1 3
2 2 0
0 1 0
1 0 1
0 2 1
1 1 2
1 1 3
2 1 0
10 8
3 2 1
0 3 1
3 3 0
3 3 2
2 0 3
0 1 3
1 3 0
0 0 1
2 1 2
2 2 1
10 5
1 0 1
3 2 2
1 0 2
3 1 0
2 1 3
1 3 2
0 3 0
3 0 0
0 0 3
0 2 2
10 2
3 3 0
3 3 2
2 3 0
2 2 0
3 1 2
2 1 2
0 1 0
3 2 3
1 1 1
0 1 2
10 6
2 1 2
1 0 1
1 1 1
1 1 0
0 1 1
2 2 2
2 0 0
2 0 1
0 0 1
2 1 0
10 4
1 2 0
0 0 1
0 3 0
3 1 3
2 2 1
3 3 2
2 1 0
0 2 0
2 2 3
0 2 1
10 3
1 1 2
1 0 2
0 2 1
0 0 2
2 0 0
1 0 0
1 1 1
1 2 0
2 1 1
0 1 2
10 2
1 2 3
3 3 3
3 1 3
2 0 0
1 0 2
3 2 2
1 1 0
3 0 3
0 0 0
0 0 1
10 5
2 0 1
1 1 0
2 0 2
1 2 2
2 2 0
1 0 2
1 1 2
1 2 1
0 0 2
1 0 0
10 6
1 3 3
2 1 3
1 1 2
2 3 2
1 3 0
2 2 3
3 0 0
3 0 1
0 2 3
0 1 3
10 4
2 2 0
0 0 1
2 2 1
0 2 1
0 0 2
1 2 0
1 2 2
0 1 0
1 1 2
0 0 0
10 9
2 2 1
3 0 2
0 0 2
0 3 1
3 0 1
1 2 0
1 3 1
3 1 1
2 0 2
2 1 3
10 4
2 2 0
0 0 1
0 2 0
2 0 2
1 2 1
2 0 0
1 0 0
2 2 2
0 1 0
2 0 1
10 2
0 2 2
2 0 1
0 0 2
1 1 2
1 0 0
2 1 1
2 0 2
2 2 1
2 1 2
2 2 2
10 8
1 1 1
0 2 2
0 2 0
2 0 2
2 0 1
0 1 0
2 1 0
0 1 1
2 2 2
1 0 2
10 8
0 1 0
0 0 1
0 0 3
0 1 3
2 1 0
3 1 0
1 2 0
2 3 1
0 2 0
1 1 2
10 2
3 1 2
2 0 2
1 2 3
3 3 0
0 0 3
0 1 1
1 2 0
1 0 0
2 2 0
0 0 1
10 9
2 1 3
1 1 2
3 2 1
0 1 3
0 2 0
3 0 3
2 0 0
1 0 3
1 3 3
0 0 0
10 7
2 2 0
1 0 1
1 0 0
0 1 1
1 1 0
1 0 2
1 2 1
1 2 0
0 0 0
0 2 2
10 9
0 1 2
0 3 2
3 0 2
2 2 0
1 0 0
3 0 0
3 2 3
3 3 2
0 2 2
2 1 0
10 4
1 1 0
2 1 0
1 0 0
2 2 2
0 0 2
1 2 1
2 0 2
0 2 2
0 1 0
0 1 2
10 6
3 0 1
2 1 1
3 1 1
2 0 2
2 1 3
1 3 0
3 0 3
1 3 2
1 2 1
1 0 3
10 3
2 1 1
2 1 2
1 1 2
1 2 0
2 0 0
1 2 1
2 2 2
1 2 2
1 1 0
0 0 0
10 2
2 3 0
0 0 2
3 2 1
0 1 0
0 3 2
0 1 1
2 2 2
2 2 1
2 0 2
3 0 0
10 7
2 1 2
1 0 1
1 0 2
1 2 0
0 1 0
2 2 2
1 2 2
0 0 2
1 1 1
0 1 2
10 8
1 2 0
1 1 2
1 0 1
2 0 0
2 0 1
2 2 1
0 1 0
0 0 0
2 0 2
0 1 1
10 5
2 1 2
2 0 1
3 2 0
0 0 0
0 2 2
3 3 0
3 3 2
0 1 0
2 1 3
1 1 0
10 2
2 2 0
1 0 0
2 1 0
1 0 1
0 2 1
1 1 2
1 2 2
0 0 0
0 1 2
0 2 0
10 3
2 0 0
0 3 0
3 1 3
3 2 2
3 0 2
3 2 0
1 3 1
2 1 2
3 3 2
2 3 1
10 5
1 1 1
1 2 1
2 1 0
1 0 0
2 0 2
0 1 2
1 2 2
0 2 1
2 0 0
2 2 1
10 3
1 1 1
2 1 2
1 2 0
1 1 0
0 0 2
2 1 1
2 2 2
0 2 0
0 1 0
0 2 1
10 3
1 1 2
1 2 2
1 0 0
1 0 1
0 2 1
2 0 2
0 1 0
2 0 1
1 2 1
2 1 0
10 7
1 0 2
1 1 0
0 0 2
2 2 1
1 0 0
1 2 2
2 1 0
1 1 1
0 0 1
0 2 0
10 3
1 0 3
3 1 0
0 1 0
0 3 3
0 0 0
2 1 0
3 0 2
2 2 2
2 1 1
2 1 2
10 9
3 0 1
1 3 0
1 1 1
2 1 3
0 3 1
1 2 3
2 1 2
2 3 3
2 3 0
2 0 3
10 5
2 0 0
2 0 2
1 2 2
2 1 1
0 2 2
2 1 2
0 0 1
2 2 0
1 1 2
2 0 1
10 3
2 3 1
3 0 3
2 2 2
3 3 3
1 0 0
3 2 3
1 2 2
0 0 3
2 1 0
3 1 3
10 9
2 0 2
3 2 2
3 1 1
0 1 3
3 1 0
2 2 0
2 2 1
1 3 0
2 0 3
3 2 1
10 6
1 2 0
2 3 2
0 1 2
3 3 2
0 0 2
2 2 2
3 2 2
2 2 3
2 2 1
1 3 0
10 8
2 2 3
3 2 2
2 3 0
3 0 2
1 2 3
3 3 3
1 2 0
2 2 0
1 1 3
0 1 2
10 8
0 0 0
1 2 1
1 1 0
1 1 1
2 0 1
2 0 2
1 1 2
1 2 2
1 0 2
2 2 2
10 3
2 2 1
1 0 1
2 1 0
1 2 0
2 1 1
2 2 0
0 1 1
2 0 0
0 2 0
2 1 2
10 4
0 0 0
1 0 1
0 2 0
2 1 0
2 1 2
1 2 1
2 0 2
2 2 0
1 0 2
2 2 1
10 6
0 0 2
1 0 2
0 0 0
1 2 2
0 2 0
1 0 0
2 1 2
0 1 0
2 0 2
2 2 1
10 7
1 0 0
0 0 1
2 1 1
0 1 0
1 0 1
2 1 0
0 0 2
2 2 2
0 0 0
1 2 1
10 6
0 2 1
1 2 0
0 1 1
2 1 1
0 0 2
0 2 2
2 2 1
1 1 2
0 1 2
0 2 0
10 5
2 0 2
1 3 2
1 2 2
3 2 3
1 3 1
0 3 0
0 3 1
2 0 0
2 1 0
3 3 3
10 2
2 2 2
0 0 1
2 2 0
2 0 0
2 1 2
2 0 1
0 2 2
2 2 1
1 1 0
0 0 0
10 7
1 0 1
1 2 1
0 0 1
1 1 1
0 1 2
2 0 1
0 1 1
2 0 2
0 2 1
2 0 0
10 6
0 2 0
2 0 2
0 2 2
1 1 0
1 0 0
0 0 2
2 1 0
0 1 1
2 2 1
1 0 1
10 3
2 0 1
1 2 2
1 1 0
0 2 0
0 2 2
2 2 0
0 1 2
1 1 2
0 0 0
0 1 0
10 6
0 2 0
1 2 2
0 0 1
0 1 0
2 2 1
1 0 2
0 2 1
0 0 2
2 2 0
1 1 0
10 9
0 2 1
0 1 1
2 1 3
2 2 1
2 3 0
1 3 2
3 0 1
2 0 1
1 1 3
1 2 0
10 3
1 2 2
0 1 1
2 1 2
0 2 0
1 2 1
1 2 0
2 1 1
0 2 2
0 2 1
0 0 2
10 4
1 0 2
0 1 0
0 2 1
2 2 2
2 0 0
2 0 1
1 2 1
0 2 0
2 2 0
2 1 2
10 5
3 1 2
2 0 3
0 3 2
3 0 2
1 2 2
1 0 0
2 0 0
1 0 1
2 1 2
0 1 0
10 3
3 1 2
2 1 1
3 2 1
2 0 1
3 1 3
3 0 1
0 0 3
0 2 2
2 1 2
0 1 1
10 5
2 2 1
0 2 1
2 0 2
1 1 1
0 0 1
2 2 2
1 2 2
0 1 1
1 1 2
0 0 0
10 7
2 0 2
2 2 1
3 3 2
0 1 3
2 1 2
2 1 1
1 2 1
0 1 2
2 3 1
2 3 3
10 3
0 2 0
0 2 3
3 3 2
3 3 3
1 2 2
3 2 1
2 0 1
1 0 3
3 0 0
3 1 1
10 3
2 0 2
1 2 2
1 1 2
1 2 1
0 0 0
0 2 0
2 0 1
2 2 2
0 0 2
0 2 1
10 5
0 1 2
1 0 1
1 1 2
2 0 2
2 2 1
1 2 2
1 0 2
0 0 0
2 1 1
1 1 1
10 8
0 1 0
1 1 1
2 0 3
2 1 1
3 2 2
1 3 3
0 3 0
0 0 3
2 2 2
1 2 3
10 2
0 1 0
2 2 1
1 2 1
0 1 2
1 0 0
1 1 0
1 1 1
2 0 2
0 0 0
0 0 2
10 6
1 2 1
1 0 0
2 0 2
1 2 0
0 2 0
0 1 1
0 2 1
2 1 1
0 1 0
1 0 2
10 4
2 3 3
2 3 1
1 3 2
1 0 0
2 0 2
0 0 3
3 0 3
0 3 3
0 3 0
3 1 3
10 2
0 1 0
1 0 2
0 2 1
1 2 0
2 1 1
1 0 1
0 2 2
2 1 2
2 0 0
2 0 1
10 4
2 0 3
0 0 2
3 0 0
3 0 1
3 1 0
1 0 2
3 2 3
0 2 0
2 1 3
0 1 2
10 4
2 2 1
2 0 0
1 1 2
1 0 2
0 0 1
0 0 0
0 2 0
1 0 0
2 1 2
2 0 1
10 2
3 2 2
3 1 2
3 2 1
1 2 1
0 2 2
1 1 0
0 3 0
2 2 3
0 1 3
2 1 3
10 4
1 2 0
0 2 0
0 1 2
0 0 2
2 2 0
1 1 2
0 1 0
2 2 1
2 0 2
2 1 2
10 4
0 1 0
1 1 2
1 2 0
2 1 0
2 2 0
0 2 2
0 1 1
0 0 2
2 0 1
0 0 0
10 7
2 3 2
1 1 1
2 1 2
0 2 3
3 3 1
0 2 2
3 2 3
3 3 3
3 2 0
0 3 3
10 8
0 0 1
2 2 1
0 0 0
2 1 1
1 0 0
1 1 2
1 2 0
2 0 2
2 0 0
2 2 2
10 7
2 0 0
3 0 0
3 2 1
1 3 0
3 3 2
0 3 0
0 0 1
2 2 3
1 0 0
0 2 0
10 7
2 0 2
3 0 1
1 0 2
3 0 0
0 0 2
0 2 2
3 0 3
1 0 1
0 0 1
3 2 3
10 2
0 0 1
1 1 2
1 2 1
1 1 1
1 0 2
1 0 1
0 2 2
2 1 2
2 2 1
2 0 1
10 7
2 1 0
2 2 1
0 1 1
1 2 2
1 2 1
1 1 1
0 2 0
0 2 1
1 2 0
0 2 2
10 6
1 2 0
2 0 3
2 2 3
3 3 3
1 1 1
0 0 2
1 3 1
2 2 0
3 3 2
3 0 2
10 5
1 2 3
3 3 3
2 3 3
3 1 1
0 3 2
3 0 1
1 3 3
3 2 2
1 1 1
0 3 3
10 4
1 0 0
2 2 1
2 0 1
2 0 0
2 2 2
1 2 0
2 0 2
2 1 1
1 1 2
1 1 1
10 4
2 0 0
2 1 2
1 1 0
1 0 2
1 2 2
1 1 2
0 1 1
2 2 2
0 0 0
2 0 1
10 7
1 1 0
2 0 2
2 1 0
1 0 1
0 0 2
1 0 0
0 1 2
1 1 2
1 2 0
2 1 1
10 4
2 0 3
3 1 2
2 2 0
1 1 2
0 3 3
1 0 0
1 3 2
1 2 2
3 2 1
2 0 2
10 5
1 0 2
0 2 0
0 1 0
2 1 2
1 1 0
0 0 2
1 0 1
2 0 1
0 0 1
2 1 1
10 3
2 0 1
1 1 0
2 1 1
1 0 2
2 2 0
1 2 2
1 0 1
1 1 1
2 1 0
0 1 2
10 7
1 3 2
0 0 0
0 3 0
3 1 2
2 0 0
3 0 3
2 0 2
1 1 1
3 2 1
1 3 3
10 8
0 0 1
0 1 2
2 1 1
0 2 0
1 2 2
2 1 2
0 2 2
2 2 1
1 1 1
2 0 0
10 8
0 0 2
3 1 1
0 2 0
1 0 1
0 1 2
0 2 2
3 0 3
0 0 3
0 0 0
1 1 1
10 9
2 1 3
0 0 2
2 2 3
1 2 3
1 0 2
3 2 0
1 3 2
3 2 1
1 3 1
0 3 1
10 8
1 3 1
3 2 3
1 1 1
0 3 3
2 0 2
2 2 3
2 3 3
3 3 2
0 2 0
0 2 3
10 4
2 2 1
1 0 2
1 1 0
2 2 0
0 1 0
2 1 0
0 1 1
2 2 2
2 0 1
1 2 1
10 5
1 1 2
2 2 1
3 0 2
2 0 1
2 2 0
0 3 3
3 0 1
0 2 1
0 1 0
0 1 2
10 6
2 0 1
2 3 0
2 3 1
1 1 2
3 3 2
2 1 2
1 3 1
3 3 3
1 1 3
3 1 2
10 3
1 0 0
2 3 0
1 2 2
1 3 2
1 2 0
3 0 1
2 0 1
0 2 3
2 2 0
1 3 0
10 6
1 3 1
3 3 2
3 0 1
2 2 1
1 1 0
1 0 0
2 0 0
3 2 2
1 1 2
2 1 1
10 4
3 0 3
1 2 2
0 0 2
2 3 2
3 2 3
0 0 3
0 1 0
1 0 0
0 3 0
2 1 2
10 2
3 2 1
2 0 2
3 1 3
3 2 2
3 3 3
3 1 1
0 0 0
2 1 2
1 0 0
2 3 3
10 3
1 1 0
2 3 2
2 2 1
3 2 1
2 1 2
1 2 2
3 1 1
3 0 2
3 1 3
0 2 0
10 7
1 0 0
0 1 1
1 2 2
1 2 0
0 1 2
1 1 1
0 0 1
2 2 2
1 1 0
2 1 1
10 8
2 2 0
1 1 2
1 0 0
0 2 2
1 2 1
0 1 0
0 2 0
0 1 2
1 2 0
2 1 2
10 9
1 1 0
2 2 1
1 0 2
2 0 0
2 1 2
0 0 2
2 0 1
2 2 0
2 0 2
1 1 2
10 9
2 2 2
2 3 1
3 0 1
2 2 0
0 0 3
2 0 3
3 1 1
2 0 1
1 3 1
2 2 1
10 3
2 2 3
0 1 3
1 0 3
1 3 1
0 2 0
2 0 3
3 3 3
3 0 3
2 1 1
3 1 2
10 3
1 0 2
2 0 1
1 3 0
3 0 3
1 3 1
2 3 2
0 0 1
1 2 1
1 2 2
1 0 1
10 5
2 3 3
2 1 2
3 0 1
2 0 0
3 2 2
1 1 2
2 3 0
2 3 2
0 2 1
1 2 3
10 5
2 0 0
2 2 1
1 1 0
2 1 1
0 2 1
1 1 1
1 0 0
1 1 2
0 1 2
0 0 2
10 3
1 3 0
2 3 1
1 3 2
1 0 0
3 1 3
3 2 3
3 1 2
1 1 3
0 0 0
3 1 0
10 8
3 3 2
1 2 0
0 3 3
0 2 3
3 1 2
2 2 1
0 3 2
0 0 1
1 2 1
0 1 3
10 4
1 3 2
0 1 1
2 0 1
1 2 2
2 0 0
1 3 3
0 0 1
1 1 0
2 2 2
3 1 2
10 9
3 0 3
3 0 2
2 0 0
2 3 3
1 3 2
1 0 2
3 1 0
1 2 3
1 2 0
1 1 0
10 3
1 2 2
2 2 2
0 1 3
3 2 3
3 3 3
2 0 1
2 3 3
3 1 2
3 2 0
2 1 2
10 6
0 2 2
1 1 1
2 0 1
0 2 1
0 0 2
1 0 0
2 2 1
0 1 0
0 1 1
1 2 0
10 7
0 2 2
2 2 0
0 0 0
1 1 2
0 1 0
2 0 2
1 2 1
0 0 2
2 1 0
2 0 0
10 7
0 0 2
1 0 2
1 1 0
0 1 1
1 0 0
2 2 0
0 0 1
2 0 0
2 1 0
0 2 1
10 2
2 0 0
2 2 2
0 2 2
0 1 1
1 0 0
2 1 1
2 0 2
1 2 0
0 2 1
0 1 2
10 6
1 3 0
2 3 0
1 2 0
0 3 0
1 2 2
0 1 0
1 1 0
2 0 0
0 2 3
3 0 1
10 4
0 2 0
2 0 1
0 1 2
2 2 2
2 1 0
1 1 0
1 2 0
0 2 2
1 2 2
2 0 2
10 9
2 1 1
0 1 1
1 0 1
2 1 0
1 1 1
0 0 1
0 2 2
2 0 1
0 1 0
1 0 0
10 5
3 0 0
1 0 1
0 1 2
0 1 3
0 2 0
3 1 2
2 3 1
1 2 0
1 1 3
0 3 1
10 4
3 1 0
2 3 3
0 2 3
1 1 3
1 0 3
3 1 3
1 2 2
1 1 2
0 0 0
3 1 1
10 2
1 3 1
3 1 0
2 0 0
1 2 0
3 0 3
3 2 2
0 0 0
1 0 3
1 1 0
3 2 3
10 7
0 1 2
1 2 2
1 0 2
1 2 0
1 1 0
0 2 0
0 1 1
1 0 0
0 1 0
0 0 1
10 8
2 0 1
2 1 1
0 2 2
0 1 1
1 0 2
1 2 2
2 0 0
1 2 1
0 0 2
2 0 2
10 8
3 3 2
3 2 0
1 2 3
0 2 3
0 1 3
3 1 2
3 1 1
1 2 2
2 1 1
2 0 3
10 2
2 0 2
0 0 2
3 2 3
1 2 2
3 1 3
2 3 2
2 2 2
0 3 3
2 2 3
3 0 0
10 3
1 0 3
1 3 1
1 2 3
0 2 3
0 1 3
2 1 3
2 0 2
3 1 0
1 1 1
1 1 0
10 3
2 1 3
2 3 3
1 1 3
3 0 2
3 0 1
2 2 2
3 1 0
3 0 3
1 2 0
3 0 0
10 4
1 0 2
2 0 2
0 0 1
2 1 2
2 0 0
0 2 2
1 0 0
0 1 0
0 1 2
2 1 1
10 6
1 2 3
1 3 0
0 1 3
2 3 0
3 1 1
0 2 3
1 3 3
2 1 2
0 0 0
1 1 3
10 2
0 0 2
0 2 1
0 1 2
1 1 1
2 2 1
2 0 2
2 2 2
2 1 0
2 1 1
1 1 0
10 8
0 1 0
1 2 1
2 1 1
0 2 2
0 0 2
2 2 1
0 1 1
2 0 0
1 1 1
2 1 0
10 6
1 1 1
2 0 1
3 0 1
0 3 1
0 2 1
2 2 2
0 3 3
2 3 1
0 3 2
1 2 2
10 2
1 0 0
1 0 1
1 2 1
0 0 2
0 2 1
1 0 2
1 2 0
2 0 1
1 1 2
0 1 2
10 4
1 0 3
1 2 0
0 2 0
3 1 2
1 3 2
2 1 3
3 2 1
2 1 1
3 1 0
3 3 1
10 5
1 0 0
2 0 2
3 3 1
1 2 2
0 1 2
0 2 3
1 0 2
2 1 0
1 2 1
0 3 3
10 9
1 2 0
1 1 0
0 0 1
0 2 0
2 1 1
1 1 2
2 0 0
2 1 2
2 1 0
2 0 2
10 7
0 1 0
2 1 0
1 1 0
0 2 2
1 2 0
0 0 2
1 0 2
0 0 0
1 0 0
2 0 1
10 3
0 1 2
2 1 1
1 0 2
0 2 1
1 2 0
2 1 0
0 0 0
0 1 1
2 2 0
0 0 1
10 3
0 3 3
2 3 2
0 2 0
3 3 3
3 2 0
3 0 1
2 1 1
2 0 2
2 2 1
1 3 1
10 6
2 0 0
2 1 0
0 0 2
1 2 2
0 0 1
2 2 1
0 1 1
0 2 2
1 2 0
0 0 0
10 8
0 0 1
3 1 3
0 2 1
0 0 3
1 0 0
1 2 3
1 1 2
2 0 1
0 3 3
0 1 1
10 9
2 2 2
0 0 1
1 1 1
0 1 2
2 1 2
0 2 0
2 1 1
2 0 2
1 0 1
0 1 1
10 2
1 1 1
1 2 1
2 2 2
2 1 0
2 0 2
2 0 1
0 1 1
1 2 2
0 0 0
2 0 0
10 8
0 2 2
3 0 3
0 0 0
2 1 2
3 0 0
3 3 0
1 0 1
1 1 3
1 2 0
1 3 0
10 5
1 0 2
2 0 1
1 2 1
0 0 2
2 1 1
2 2 0
0 2 0
1 1 2
0 1 2
2 1 0
10 2
0 2 1
1 2 1
2 0 1
2 0 2
1 2 2
2 0 0
2 2 1
3 1 2
0 1 1
3 2 0
10 8
3 2 2
3 3 1
3 3 3
0 0 2
2 0 0
1 1 2
1 3 0
1 3 2
3 3 0
1 3 1
10 8
2 0 0
3 3 0
3 2 3
3 2 2
3 1 1
0 0 1
0 2 2
1 0 0
0 1 2
1 3 2
10 5
1 1 0
0 0 0
2 1 2
1 0 2
1 0 0
1 1 2
0 0 1
2 0 1
1 2 1
2 0 0
10 5
0 1 1
1 2 1
2 1 0
0 0 2
1 0 0
2 2 0
1 0 2
1 2 0
1 1 1
2 0 0
10 4
2 3 2
2 0 2
1 0 0
0 1 0
1 2 3
2 1 1
0 2 1
2 2 1
0 3 2
0 2 2
10 8
1 1 1
0 0 1
1 1 0
1 0 1
1 1 2
2 2 1
1 0 0
0 1 0
0 0 2
2 1 1
10 6
1 1 0
0 1 2
0 2 1
2 2 2
0 2 2
0 0 2
2 1 2
2 0 2
1 0 0
2 1 1
10 4
0 0 0
2 0 0
1 2 2
1 2 0
2 2 2
2 2 0
2 1 1
1 0 0
1 0 1
0 0 2
10 8
2 2 0
0 1 1
2 0 1
0 0 1
0 1 2
0 2 0
1 1 1
0 0 0
0 2 2
1 0 1
10 2
0 2 0
2 2 2
0 0 1
1 0 2
1 1 0
2 0 0
1 1 1
2 2 1
2 1 0
1 2 1
10 3
0 2 0
3 1 2
0 2 1
0 0 3
1 1 3
1 2 0
2 2 1
1 2 3
0 3 2
1 1 1
10 8
2 0 1
0 2 1
1 1 2
2 2 1
1 0 1
1 2 0
2 1 0
1 1 0
0 1 0
0 1 2
10 2
0 1 2
0 1 1
2 1 1
2 1 2
2 2 2
0 2 0
1 1 0
0 0 0
1 1 2
2 0 2
10 3
1 2 2
2 2 2
2 1 2
0 0 1
2 2 0
1 1 0
0 1 2
2 2 1
0 0 0
1 0 1
10 9
3 2 1
0 2 2
3 3 3
2 1 2
2 0 0
1 3 2
0 3 3
0 3 1
3 0 0
2 2 3
10 3
2 3 3
1 3 3
2 0 3
2 1 1
3 2 0
3 1 1
3 1 3
1 2 2
0 0 0
0 2 3
10 8
0 3 0
2 3 2
2 2 0
1 3 3
1 1 0
3 0 0
1 3 1
1 2 2
2 2 1
0 2 3
10 5
2 1 2
1 1 1
0 0 2
0 2 2
0 2 0
1 0 2
2 2 0
0 2 1
0 1 0
1 0 0
10 9
1 2 0
2 2 0
3 3 2
1 1 0
3 1 2
2 3 2
0 2 0
3 1 3
0 3 3
0 0 0
10 6
1 2 1
2 0 1
2 0 0
0 0 1
1 0 2
0 0 2
2 1 2
0 1 1
1 2 2
0 1 2
10 8
1 1 1
3 1 0
2 0 1
2 2 3
1 3 2
2 3 3
3 3 3
0 2 0
0 1 2
2 0 3
10 8
2 0 0
1 2 0
1 0 1
2 0 2
0 1 1
1 1 1
0 0 1
1 0 2
2 2 0
2 0 1
10 8
1 1 2
0 3 1
0 1 1
3 1 1
2 2 1
2 2 3
3 2 1
0 0 0
0 2 3
1 3 2
10 8
0 2 0
1 0 0
0 2 1
2 0 1
3 1 1
1 1 2
0 3 1
3 3 1
1 0 3
3 1 3
10 7
0 0 3
2 0 0
1 1 3
3 0 3
1 1 2
2 0 2
2 0 1
1 0 3
1 3 1
2 3 2
10 9
0 0 0
2 0 2
0 2 0
1 0 1
0 0 2
0 2 1
1 1 0
2 1 1
2 2 2
2 2 0
10 2
2 0 3
3 1 3
2 1 3
3 1 2
3 0 1
2 0 1
2 3 1
1 0 0
1 2 2
3 0 3
10 7
2 0 2
0 0 0
0 1 2
1 2 2
1 1 2
1 2 0
1 1 1
0 0 1
0 1 0
2 0 0
10 2
1 1 2
0 2 1
2 2 0
3 0 0
3 2 3
1 0 0
1 2 1
2 3 2
0 1 0
1 1 1
10 5
0 3 1
2 0 3
1 2 0
3 2 2
1 3 1
1 1 2
3 2 0
3 3 2
0 0 0
3 1 0
10 5
2 2 2
1 0 2
0 1 2
1 1 0
2 2 0
2 1 0
2 0 0
0 2 2
2 0 2
0 0 1
10 4
2 1 1
0 1 1
0 1 2
0 2 0
0 2 1
0 3 3
3 2 1
0 3 0
2 1 0
2 3 2
10 4
2 1 0
3 3 0
0 2 0
0 2 3
1 0 2
2 0 1
0 0 1
1 1 2
3 0 0
3 1 2
10 3
0 2 0
2 0 1
2 0 0
0 0 1
2 1 0
2 2 0
0 2 2
1 2 2
1 1 1
0 1 0
10 8
3 1 2
2 1 1
1 2 3
0 1 2
1 2 1
0 0 1
1 0 1
0 3 2
2 0 2
0 1 1
10 6
1 2 0
2 0 2
2 2 1
1 1 2
0 1 1
2 2 0
1 1 1
0 2 1
1 0 0
1 0 1
10 8
3 0 2
3 0 0
2 0 0
3 2 0
1 0 2
1 1 2
2 3 3
1 1 1
0 0 2
3 1 2
10 4
0 0 2
0 1 2
1 1 1
2 2 0
0 0 0
1 2 2
2 1 0
2 0 2
1 0 0
1 1 0
10 7
1 3 3
2 3 3
3 2 3
2 2 0
2 1 0
3 1 1
0 2 2
1 0 3
3 3 1
3 3 0
10 9
2 2 0
2 2 3
2 1 0
1 2 2
2 0 0
3 3 1
3 1 1
0 3 0
1 2 0
0 2 2
10 7
2 0 1
1 2 0
2 1 2
1 0 2
2 2 0
2 0 2
0 0 0
2 1 0
1 1 1
0 2 0
10 2
1 1 2
1 2 1
1 0 2
2 0 1
1 0 0
0 2 0
2 0 2
2 1 1
1 2 2
1 2 0
10 8
2 2 0
1 3 3
1 2 1
2 2 1
2 1 1
0 1 0
0 2 3
1 3 1
2 2 3
0 2 1
10 3
0 1 1
0 1 0
0 2 0
1 0 0
2 0 2
1 1 0
2 1 1
2 2 2
0 2 2
1 2 0
10 9
2 1 2
1 1 2
2 1 1
1 0 1
1 0 2
2 1 0
1 2 1
0 1 2
0 1 0
0 2 0
10 3
0 0 0
2 2 0
1 1 1
1 0 2
1 0 0
1 2 0
0 0 1
0 0 2
2 0 0
2 1 1
10 9
0 1 0
0 1 2
1 1 2
2 1 1
1 2 1
0 1 1
0 0 1
0 0 2
1 0 1
1 0 2
10 9
2 2 0
1 2 2
1 0 1
1 1 1
0 1 1
0 0 1
1 1 0
0 0 2
2 1 2
0 1 0
10 7
2 3 2
0 3 2
2 3 0
1 3 0
3 1 2
0 1 2
1 1 1
0 2 3
2 3 3
0 0 3
10 2
1 0 1
3 2 2
0 1 3
0 1 0
3 1 0
2 2 2
1 3 1
3 0 2
1 2 2
0 3 0
10 9
0 0 1
0 2 0
0 1 2
2 0 2
1 2 2
1 0 0
0 2 1
2 2 0
2 1 1
2 1 0
10 4
2 0 2
0 0 2
0 0 0
1 1 2
1 0 1
0 1 1
0 2 0
2 1 2
2 1 1
1 2 0
10 5
2 0 0
3 2 3
3 0 3
3 0 2
1 1 0
0 2 3
1 1 3
2 3 1
0 0 0
2 0 3
10 9
2 1 3
0 1 2
0 1 1
1 0 1
3 1 0
3 2 3
3 0 1
2 0 3
3 2 2
2 2 0
10 8
0 2 1
3 3 3
3 3 0
0 3 1
3 2 1
3 2 0
3 0 3
0 0 2
0 1 0
0 3 0
10 2
0 0 2
3 1 0
0 0 1
0 1 1
3 1 3
3 3 1
2 2 1
3 1 2
3 0 0
2 2 0
10 5
0 2 2
2 0 3
1 0 3
3 1 0
2 3 3
2 1 1
1 3 3
2 3 1
3 0 1
3 3 2
10 6
2 0 1
1 1 0
0 0 1
2 1 1
0 2 1
0 1 2
0 0 2
1 0 1
2 2 0
2 2 1
10 6
0 1 1
1 3 0
2 0 0
1 0 1
1 1 2
0 2 2
2 1 2
1 0 2
1 1 3
0 0 0
10 4
3 1 2
2 3 0
0 2 2
1 2 1
1 3 0
0 0 0
0 3 1
3 1 3
0 0 1
2 2 0
10 2
1 1 1
1 1 0
1 1 2
2 0 2
0 1 2
2 2 2
0 2 1
0 0 1
1 0 0
1 2 1
10 8
2 2 0
1 0 3
1 0 1
3 0 0
2 1 3
2 2 2
1 1 1
3 3 3
3 3 1
3 0 3
10 4
0 2 2
3 2 0
3 2 3
1 3 3
2 3 1
3 1 3
3 0 1
0 2 1
1 0 1
3 3 3
10 9
1 2 1
1 1 1
2 1 0
2 2 1
0 1 1
0 3 2
3 2 3
1 0 2
3 1 0
3 0 2
10 3
0 1 2
3 0 3
2 0 1
3 1 0
3 3 3
3 1 3
3 3 1
1 1 1
1 0 3
0 2 0
10 5
2 2 1
2 0 0
0 2 1
0 0 1
2 1 2
0 1 0
1 1 1
0 1 1
0 2 0
0 2 2
10 5
0 2 0
2 0 0
0 1 1
0 2 2
1 0 1
1 1 1
2 2 0
2 1 1
2 0 2
0 0 1
10 2
3 0 1
0 2 1
1 0 3
1 1 2
2 0 2
3 2 0
0 2 2
0 0 3
3 3 0
1 3 3
10 8
1 2 0
2 1 0
2 3 3
2 2 2
2 1 2
3 0 1
0 0 3
0 3 1
1 0 2
2 1 3
10 2
2 3 2
0 0 3
0 3 2
2 1 0
1 1 0
3 0 2
0 0 0
1 0 3
1 0 0
2 0 1
10 2
3 1 2
1 1 3
2 3 2
2 2 0
0 0 0
3 2 0
1 2 1
0 0 2
2 0 0
0 0 1
10 6
0 0 0
1 0 2
0 0 2
2 2 0
0 0 1
1 2 0
0 2 1
1 0 1
2 1 2
1 0 0
10 6
1 0 1
1 2 0
0 0 0
1 2 1
1 2 2
1 1 2
2 2 0
0 1 2
1 0 2
1 1 0
10 5
0 0 2
1 1 3
1 0 1
0 1 2
2 1 1
0 2 2
3 3 1
3 2 2
3 1 0
1 3 0
10 4
3 0 2
1 1 2
3 3 3
1 0 2
3 3 1
3 1 0
2 0 1
0 2 3
2 2 1
3 0 1
10 4
1 0 3
0 0 1
2 3 0
2 0 3
3 3 0
2 3 3
3 0 0
3 0 2
3 1 2
0 1 0
10 6
0 2 1
0 1 0
0 0 1
0 2 2
2 1 1
2 2 2
1 0 1
1 2 0
2 2 1
1 2 1
10 8
0 0 1
2 1 0
1 0 1
1 3 3
3 0 1
3 1 2
3 3 0
3 0 0
3 2 0
0 1 0
10 5
3 0 3
1 1 1
3 3 2
2 3 0
2 0 2
2 1 3
2 2 2
1 3 3
1 1 3
1 1 0
10 7
2 3 3
0 1 3
3 3 1
0 0 0
3 3 3
0 3 2
1 1 1
2 1 1
0 2 0
0 2 3
10 5
3 3 2
0 1 3
1 3 1
2 3 0
0 1 1
1 3 3
3 1 1
3 3 1
1 2 0
1 0 0
10 3
0 2 2
2 2 1
0 1 2
2 2 0
0 2 0
0 0 2
1 1 1
0 0 1
0 1 0
1 2 2
10 3
1 3 3
1 1 1
2 3 0
0 2 1
2 0 1
2 1 0
2 3 1
3 2 1
2 0 2
1 1 0
10 6
1 3 0
1 2 1
3 1 0
1 0 0
1 3 2
2 3 2
3 0 2
3 1 1
3 3 1
0 1 0
10 5
0 0 2
1 1 2
0 2 2
2 2 2
1 2 2
2 0 1
2 2 1
0 0 0
1 1 0
2 1 0
10 9
2 0 1
0 1 2
2 0 0
0 2 2
2 2 0
0 1 1
2 2 1
1 1 2
1 0 1
2 2 2
10 5
3 3 0
0 3 0
2 0 3
2 3 0
2 3 3
0 3 3
0 1 0
3 3 2
3 1 3
0 2 1
10 6
1 1 2
1 0 0
2 1 0
2 0 0
1 2 0
2 2 1
1 1 0
1 0 2
0 2 1
2 1 1
10 3
2 2 0
2 1 2
1 0 2
0 2 2
1 0 1
1 0 0
2 0 0
1 2 0
1 1 1
2 1 0
10 4
2 3 1
1 0 3
3 0 1
3 0 0
1 2 3
0 1 1
1 1 0
2 1 3
3 3 0
1 1 3
10 9
3 2 1
1 1 1
1 3 3
0 0 2
1 3 0
3 1 1
3 2 3
2 1 2
1 2 0
2 1 3
10 3
1 2 1
0 1 1
0 0 1
1 0 1
2 2 2
1 2 2
2 1 0
0 0 0
1 0 2
0 2 0
10 9
3 3 0
3 1 1
2 1 1
2 2 2
0 0 2
1 2 1
2 2 3
2 1 2
2 2 1
1 1 0
10 8
1 3 1
1 2 0
2 0 2
1 1 3
0 1 0
1 0 2
1 0 3
2 0 1
1 0 1
0 3 3
10 5
1 2 2
3 3 3
1 3 1
2 3 0
1 3 2
2 3 1
1 1 2
0 3 0
2 1 0
0 3 2
10 9
2 0 1
2 0 2
0 2 1
0 2 0
0 1 0
2 1 1
2 2 2
0 0 0
1 1 2
2 0 0
10 3
3 0 2
3 1 0
3 2 2
2 1 0
3 0 1
0 0 1
1 2 2
1 3 0
1 2 0
0 2 0
10 9
0 3 3
0 2 0
3 1 2
3 2 2
2 2 2
3 2 0
2 0 0
0 1 3
0 1 2
2 2 1
10 8
2 0 1
1 2 1
1 1 1
3 3 3
2 2 3
0 2 0
3 1 1
2 3 0
0 0 3
2 0 3
10 7
3 3 1
2 1 2
2 2 0
0 2 2
2 1 0
3 1 1
3 1 2
2 1 3
0 0 0
3 0 2
10 8
2 1 1
0 2 2
2 1 0
0 0 2
0 2 1
0 1 2
0 0 0
2 2 0
2 0 1
1 2 0
10 2
2 1 2
0 1 0
2 2 2
1 2 1
2 0 2
2 1 0
0 1 2
1 0 1
0 2 2
0 0 0
10 8
2 2 3
0 0 0
3 0 1
2 1 0
0 1 3
3 2 2
2 2 0
0 3 3
1 0 2
3 3 2
10 8
1 0 2
0 2 1
0 1 0
2 0 0
1 2 0
0 1 1
2 2 0
0 2 0
2 2 1
0 2 2
10 9
3 0 3
0 0 2
2 2 2
3 3 3
0 2 2
1 2 2
2 2 3
3 3 1
0 2 3
2 1 0
10 2
1 0 0
1 1 1
1 1 2
0 0 2
0 1 2
0 2 0
0 2 2
0 2 1
1 2 0
0 0 1
10 6
1 1 0
2 2 2
1 2 0
1 1 1
0 2 0
0 1 0
2 2 1
2 0 1
1 0 1
1 1 2
10 4
0 1 1
2 1 0
0 0 0
0 0 1
0 2 1
2 1 2
2 0 0
2 2 0
0 2 0
1 1 1
10 3
0 0 0
1 1 1
1 0 2
2 2 2
0 1 1
1 0 1
0 0 1
1 1 2
1 2 1
1 2 0
10 9
0 2 0
3 3 1
2 3 2
1 3 3
1 2 3
1 3 2
2 3 0
1 1 2
2 3 3
1 2 2
10 5
1 0 0
2 1 2
2 0 1
0 1 1
1 1 0
1 2 0
0 0 2
2 2 1
0 1 0
0 2 2
10 4
0 2 2
2 2 1
2 3 1
2 0 2
0 1 3
1 2 1
3 3 3
1 0 2
2 0 1
2 1 0
10 4
2 1 2
2 2 0
1 0 0
0 0 0
1 1 2
1 0 2
2 0 2
0 2 1
2 1 1
0 2 0
10 3
1 3 2
2 3 0
1 3 1
1 2 1
1 1 0
0 3 0
0 0 1
2 3 3
2 0 2
3 2 3
10 9
2 2 0
2 1 0
1 0 1
1 2 1
1 1 2
2 2 1
2 0 0
0 1 0
0 1 1
1 0 2
10 4
0 2 2
1 2 1
0 1 0
0 2 1
1 1 1
2 1 2
2 2 0
2 2 1
2 1 1
1 2 0
10 8
3 1 2
0 3 1
3 0 1
1 1 3
2 3 0
0 1 2
0 0 0
1 0 2
3 2 2
2 0 0
10 3
1 3 3
0 0 0
1 3 2
3 1 0
2 1 1
2 2 3
0 2 2
1 3 1
3 1 2
3 3 2
10 3
0 0 0
0 3 0
3 0 2
3 0 3
1 1 0
1 3 0
3 2 0
1 2 1
3 3 0
3 2 1
10 5
0 1 0
2 1 1
1 0 2
0 2 2
2 0 2
1 0 0
1 0 1
1 1 1
0 0 2
2 1 2
10 9
2 3 1
2 2 3
2 2 0
2 3 2
1 0 3
1 1 2
0 2 1
0 3 3
0 1 2
0 3 2
10 6
3 3 2
1 3 3
1 2 1
3 2 2
3 2 0
0 2 3
3 0 0
1 1 1
3 1 3
0 3 2
10 5
1 2 3
3 0 1
2 2 3
0 0 2
3 2 0
0 1 0
1 0 2
0 2 2
0 0 3
3 0 3
10 3
0 1 2
3 3 1
2 2 0
3 0 3
0 3 3
1 3 2
2 3 2
0 0 1
0 3 0
3 2 1
10 3
2 1 2
0 2 0
1 0 0
0 2 2
1 2 1
2 1 0
0 0 2
0 1 0
2 0 2
1 1 0
10 6
1 0 2
1 0 1
1 2 0
0 1 2
2 2 1
2 2 2
2 1 0
1 1 0
1 0 0
0 1 0
10 8
3 0 3
0 2 1
3 1 1
2 2 0
3 2 1
0 2 0
2 3 3
0 0 2
2 1 3
0 1 2
10 6
3 1 1
1 2 1
0 1 0
1 0 0
1 1 3
0 1 1
3 2 2
0 1 3
2 3 1
3 3 2
10 7
0 1 2
2 1 0
2 1 2
2 2 1
1 2 1
1 0 2
2 2 0
0 1 0
2 0 2
2 0 1
10 3
1 3 2
1 1 2
0 2 3
0 3 0
0 3 3
3 1 0
2 2 0
1 3 0
3 0 0
0 1 3
10 5
1 1 1
2 2 2
2 0 2
1 0 1
0 0 2
1 0 0
0 2 2
2 1 2
0 0 1
0 1 0
10 4
2 2 1
2 2 3
3 3 2
3 1 1
3 0 0
2 1 1
0 3 3
3 1 3
2 0 1
3 2 3
10 2
0 0 2
0 1 2
2 0 1
0 2 1
0 1 0
2 2 2
0 0 1
2 1 2
1 2 1
1 1 0
10 4
0 3 3
2 2 0
2 1 0
2 3 3
1 2 2
1 0 3
1 0 1
3 1 3
0 1 0
0 1 2
10 7
3 2 3
2 3 0
3 1 1
0 0 3
0 0 1
1 0 3
1 1 2
0 2 3
1 0 2
0 3 3
10 8
0 0 3
2 2 3
0 3 1
0 0 2
1 3 0
1 0 0
3 2 2
3 3 0
1 0 1
0 1 2
10 2
1 3 0
0 3 3
0 3 2
3 0 2
0 3 0
0 1 3
0 3 1
2 2 0
1 0 1
3 0 3
10 8
0 1 0
1 1 0
2 1 1
0 1 3
2 0 0
1 3 3
0 1 2
1 0 3
3 1 1
3 0 1
10 5
1 0 0
2 2 2
1 2 1
1 1 0
2 1 0
2 2 1
2 1 2
0 1 2
0 1 1
0 0 2
10 5
0 2 0
0 2 2
2 2 0
1 2 1
1 1 0
0 0 0
2 2 2
0 1 0
1 2 0
2 0 2
10 9
0 0 2
2 0 2
1 1 0
1 2 2
0 1 1
0 0 0
2 1 2
2 2 2
2 1 0
0 0 1
10 5
0 2 0
0 3 1
0 3 0
1 3 0
0 1 1
0 1 0
0 0 2
1 2 3
2 1 2
0 0 0
10 6
0 1 0
1 2 0
2 0 1
1 2 1
0 2 0
0 0 0
1 1 2
2 1 2
1 0 1
0 1 1
10 3
2 1 2
1 2 0
1 0 1
1 0 2
1 2 1
2 0 1
0 1 1
0 1 0
2 0 2
1 2 2
10 6
2 2 0
2 2 2
1 0 1
2 2 1
2 1 0
0 0 0
1 1 1
0 2 0
1 1 0
1 2 0
10 5
0 2 0
2 2 1
2 1 0
2 2 2
2 0 3
3 3 2
1 3 2
3 0 0
0 1 2
0 0 2
10 6
1 0 3
0 0 0
0 1 3
2 2 1
1 3 3
0 1 1
2 3 2
1 2 2
1 3 1
1 0 2
10 4
3 2 3
2 2 3
2 0 3
2 2 2
0 0 0
0 2 3
3 2 1
0 3 1
1 1 3
3 1 2
10 3
1 0 0
0 1 1
1 2 0
1 2 1
0 1 2
1 1 0
1 2 2
2 2 0
0 2 1
1 0 2
10 2
0 1 2
1 0 2
2 0 1
2 2 0
0 0 0
0 0 1
1 0 1
0 2 2
1 1 2
0 0 2
10 3
2 1 1
2 2 0
1 0 0
2 0 1
1 1 2
2 2 1
2 0 0
0 1 0
2 1 2
2 1 0
10 2
2 0 1
0 2 2
2 0 2
1 2 2
0 1 1
2 1 0
1 2 1
1 0 0
0 2 0
0 1 0
10 2
1 1 1
2 1 0
2 1 2
0 1 2
1 0 0
2 2 1
0 0 1
1 0 2
0 2 2
0 0 2
10 2
2 3 2
1 0 3
0 2 1
2 0 1
2 0 0
0 0 2
3 1 0
2 0 2
3 3 3
3 2 2
10 9
0 2 0
0 0 1
2 1 1
2 0 1
1 2 2
0 0 2
0 1 0
2 2 0
2 0 2
0 1 2
10 9
1 1 2
0 0 0
1 1 0
0 1 1
1 2 1
0 2 1
2 2 0
1 2 2
1 1 1
0 1 0
10 2
1 3 0
3 3 0
3 2 1
1 3 2
2 2 1
1 1 2
2 0 2
2 3 1
2 0 3
1 0 0
10 7
0 2 1
3 2 3
0 0 2
2 2 2
0 1 1
3 2 2
2 2 0
0 0 0
3 0 0
0 0 3
10 6
0 2 2
1 1 1
2 1 0
0 1 0
1 1 0
1 0 2
2 0 1
2 2 2
1 2 2
1 0 0
10 4
1 0 2
2 1 2
0 1 1
0 0 1
1 1 2
2 2 0
0 0 0
2 0 0
2 1 0
1 1 1
10 5
2 1 0
1 2 1
0 3 2
0 3 1
2 0 2
2 2 1
3 0 2
1 1 3
3 3 0
0 2 0
10 9
0 2 0
0 2 2
0 0 1
2 2 0
1 0 1
0 0 0
1 1 0
0 0 2
1 1 2
2 1 0
10 3
3 3 1
3 2 2
1 2 3
2 3 2
1 0 2
0 0 3
0 2 2
1 2 0
1 2 1
3 1 0
10 6
0 0 1
1 0 0
2 2 2
0 1 1
2 0 2
0 2 0
1 2 1
2 2 0
2 2 1
1 2 0
10 5
2 3 0
3 0 1
1 1 2
0 3 1
2 1 0
2 0 0
3 3 3
0 0 0
2 1 1
3 2 3
10 4
0 0 0
2 2 2
1 0 2
0 2 2
1 2 0
2 1 2
2 2 0
1 1 0
2 1 1
0 1 0
10 7
3 1 1
2 0 1
0 2 2
2 2 1
0 1 3
0 0 3
2 1 0
2 0 2
1 1 3
2 3 2
10 9
3 0 1
1 3 3
0 1 0
1 3 2
1 0 0
1 2 0
0 1 2
2 0 0
3 1 3
0 2 0
10 4
1 0 1
0 1 0
2 0 1
0 1 2
1 1 1
2 2 2
2 1 1
2 2 0
0 1 1
2 1 2
10 8
1 0 0
1 0 2
2 0 0
0 2 1
2 2 2
0 1 1
1 1 1
0 2 0
0 0 2
2 1 0
10 3
1 1 2
3 1 2
1 0 3
2 2 0
0 2 3
3 1 1
1 2 0
0 0 2
3 2 2
0 2 0
10 2
2 2 2
2 0 1
1 1 0
1 1 2
0 2 2
0 1 0
2 0 0
0 0 1
1 2 0
1 0 1
10 7
2 0 1
2 2 0
1 1 2
2 3 2
0 2 2
2 1 2
3 0 3
1 0 0
0 1 3
0 1 0
10 4
2 2 2
1 1 1
1 2 2
0 2 2
1 2 1
2 2 0
2 1 2
2 0 2
1 1 0
0 0 2
10 8
1 2 0
3 1 0
1 0 0
1 2 3
3 2 1
2 3 3
2 1 2
3 3 1
1 0 3
2 0 2
10 8
3 2 2
2 3 0
3 3 1
3 0 0
1 2 3
1 0 1
1 2 0
0 3 1
0 2 3
2 0 3
10 3
0 1 1
2 0 2
0 1 2
0 3 2
3 1 0
1 3 1
3 1 3
3 3 0
2 2 2
1 1 0
10 5
2 1 2
0 0 1
0 1 0
0 1 2
0 2 1
1 0 2
2 1 1
2 0 0
1 0 1
0 0 0
10 7
1 2 1
1 0 0
1 2 2
0 2 0
2 2 0
1 2 0
0 1 2
2 0 1
2 0 0
0 1 1
10 2
2 0 1
1 2 2
0 0 1
1 0 2
0 1 2
0 2 0
0 0 2
0 2 1
2 2 0
0 2 2
10 5
2 2 1
2 0 0
0 2 1
0 1 2
2 1 0
0 0 1
1 0 0
1 0 2
2 1 1
2 2 2
10 9
1 0 0
2 2 3
0 0 1
1 1 3
0 1 0
3 0 3
3 2 3
2 0 3
1 2 0
1 3 2
10 6
0 0 1
2 2 2
2 1 1
2 2 1
0 0 2
0 2 2
2 0 0
2 0 1
0 2 0
1 0 2
10 5
3 3 3
0 1 2
0 3 1
1 0 1
2 1 3
2 2 3
2 0 1
2 1 1
3 0 1
0 1 3
10 4
2 1 1
0 0 2
0 2 2
0 1 0
2 2 0
1 2 2
2 0 2
1 2 0
0 0 0
0 0 1
10 3
1 0 1
2 2 0
2 2 1
0 1 0
0 1 1
2 0 1
1 2 1
0 0 2
2 0 2
1 2 0
10 8
2 3 2
2 3 3
2 2 1
1 2 1
0 1 1
3 1 2
2 1 2
3 0 0
1 3 0
2 3 0
10 7
1 3 3
0 1 1
0 1 2
0 1 3
2 3 2
3 3 0
2 3 1
3 2 1
3 0 1
1 2 2
10 9
1 1 2
0 0 2
2 2 0
1 0 2
0 2 2
1 1 1
0 2 0
2 2 1
2 1 1
0 1 0
10 9
2 1 2
0 1 0
2 0 0
0 3 1
1 0 3
1 2 2
3 1 1
3 2 2
3 0 1
3 1 0
10 2
1 2 3
3 0 3
1 1 3
0 1 2
3 2 0
2 1 3
0 3 1
2 2 3
3 0 1
0 1 3
10 5
3 2 3
2 2 1
1 0 3
1 1 1
0 3 1
1 2 2
0 0 0
2 1 3
2 0 2
3 0 2
10 7
0 1 2
3 2 1
0 1 3
0 2 0
2 0 2
3 2 3
1 0 3
2 1 1
3 1 1
3 0 2
10 8
2 2 3
3 1 3
0 3 3
1 1 3
1 3 1
2 3 1
1 2 3
2 0 0
2 3 0
3 0 2
10 3
2 0 1
3 3 3
1 3 0
1 2 2
2 1 0
1 3 3
2 1 1
3 2 3
3 0 2
2 0 2
10 8
0 2 1
0 0 1
2 1 0
0 1 2
1 0 1
1 0 2
2 1 2
2 2 0
1 1 1
0 2 0
10 7
2 1 0
1 0 2
2 2 1
2 0 2
0 2 0
1 0 1
0 1 1
2 2 0
0 0 1
1 0 0
10 6
2 2 2
1 3 0
0 0 1
3 1 1
3 2 3
1 0 2
1 3 3
0 1 3
2 1 1
3 0 3
10 2
1 1 2
1 2 2
2 2 1
0 1 0
2 0 0
1 2 1
1 0 0
0 0 1
2 0 2
2 2 2
10 2
2 0 0
2 1 1
2 0 1
0 1 0
1 1 0
0 2 2
2 2 2
0 0 1
1 0 0
1 2 2
10 9
1 2 0
0 0 1
2 2 0
0 0 2
0 1 0
1 0 2
2 2 2
0 2 0
0 2 1
0 2 2
10 7
2 2 3
2 0 2
3 0 1
2 2 0
3 3 3
0 0 3
1 1 2
3 2 2
0 3 1
0 2 3
10 2
2 0 1
0 1 2
1 1 0
0 2 1
2 2 2
2 0 2
1 0 0
0 2 0
1 2 1
0 0 1
10 4
0 2 0
0 2 2
2 2 1
1 2 1
0 2 1
1 1 0
2 2 2
2 1 1
1 1 2
2 1 2
10 3
1 0 1
1 1 0
2 1 1
2 2 2
0 0 2
1 0 0
0 2 0
1 0 2
1 2 2
0 2 1
10 6
2 1 0
2 0 1
1 1 2
1 2 1
0 2 2
0 2 0
1 0 2
0 1 0
1 2 2
0 2 1
10 8
3 0 0
1 1 3
3 3 1
0 1 3
2 1 1
1 2 0
2 0 0
3 2 2
2 0 2
1 0 1
10 4
1 0 2
0 2 0
0 2 2
2 1 2
2 1 1
2 2 2
1 1 0
1 2 2
1 0 1
0 1 1
10 7
0 3 3
1 2 1
0 0 1
1 3 3
0 0 3
0 1 3
1 1 1
2 3 1
1 3 0
0 0 0
10 8
0 0 0
1 0 0
2 2 1
0 0 2
1 1 1
0 2 0
0 1 1
1 2 1
1 0 1
0 0 1
10 2
2 2 2
1 3 1
2 0 2
0 0 3
0 3 3
0 1 0
0 1 2
0 0 1
3 3 3
0 1 1
10 4
2 1 1
1 0 2
1 1 0
0 1 0
3 0 1
2 1 2
0 0 1
2 3 3
2 2 2
3 2 3
10 9
1 0 0
3 1 1
0 0 3
1 3 1
3 1 0
1 1 3
1 2 1
2 0 3
0 2 2
1 2 3
10 7
2 0 0
2 2 0
0 0 2
2 1 1
1 0 1
1 2 0
1 1 1
0 1 0
2 2 1
0 2 0
10 8
1 2 0
2 2 1
0 1 1
1 2 1
2 2 0
0 1 2
2 2 2
0 0 2
1 0 1
0 0 0
10 2
3 0 3
1 3 2
3 0 2
2 3 0
1 0 3
2 1 2
0 2 1
1 0 2
1 2 1
2 0 2
10 9
0 2 2
0 1 2
0 0 1
0 1 1
2 1 2
0 1 0
2 0 2
1 2 0
2 1 1
1 1 2
10 2
0 0 0
3 2 3
1 2 2
1 3 2
0 3 2
1 2 1
2 0 2
3 0 2
0 2 2
3 1 1
10 4
2 2 1
0 0 1
1 0 1
0 1 1
1 1 1
2 1 1
2 2 0
1 0 2
1 2 1
2 0 0
10 6
2 2 2
0 1 1
0 2 2
2 2 1
0 1 0
0 0 0
0 0 2
1 1 1
2 2 0
1 1 2
10 2
1 1 0
0 1 0
2 0 2
3 2 0
0 3 2
0 0 0
2 2 1
3 2 1
1 0 1
1 1 1
10 7
0 1 2
1 0 2
0 0 2
1 1 2
1 2 0
1 0 0
2 2 0
2 1 0
2 0 0
1 2 2
10 3
1 1 2
3 0 0
3 3 2
3 3 1
3 0 1
3 1 2
0 2 0
2 3 0
3 0 2
2 1 1
10 6
1 1 0
1 2 0
2 0 0
0 0 1
1 0 0
1 2 1
2 0 1
0 0 2
1 1 2
0 1 1
10 8
2 2 0
0 2 1
2 1 2
1 2 0
1 0 0
1 0 2
1 1 1
2 2 2
1 2 1
0 1 0
10 2
0 1 2
0 0 2
1 0 1
1 2 2
0 2 0
0 2 1
0 0 1
2 2 2
0 2 2
0 0 0
10 7
0 3 1
0 2 0
2 1 2
3 0 2
2 2 2
3 3 0
1 1 0
3 2 1
1 0 0
2 3 3
10 4
1 2 2
1 1 2
0 0 2
0 1 2
0 2 1
1 0 2
1 2 1
1 0 0
1 2 0
2 1 1
10 3
0 2 3
3 0 2
2 1 1
0 1 0
0 2 1
0 0 1
1 3 2
3 1 1
3 2 3
3 3 3
10 6
1 2 2
2 2 2
2 0 2
1 1 1
2 1 2
1 0 0
0 2 1
2 1 1
1 1 2
2 0 0
10 3
0 2 1
2 1 0
0 1 2
2 0 0
2 1 1
0 0 0
1 1 0
1 2 0
2 2 1
1 1 1
10 6
1 1 0
2 3 2
0 0 3
1 2 3
0 1 0
2 1 1
2 0 1
1 3 2
3 3 0
0 1 1
10 2
0 3 2
3 2 0
2 3 0
1 1 1
2 2 1
2 3 2
1 0 3
1 3 3
2 0 0
1 2 1
10 6
2 0 2
0 1 0
1 0 0
1 1 2
2 0 1
2 1 1
2 0 0
2 2 1
1 0 2
0 0 0
10 8
2 1 1
1 1 1
2 0 0
2 0 1
0 2 2
0 0 0
0 1 2
1 0 0
1 1 0
0 2 1
10 8
0 1 2
2 2 1
0 0 2
0 2 2
0 1 1
1 0 2
1 2 1
0 0 1
2 1 0
0 2 1
10 2
3 3 1
1 0 1
3 3 2
0 2 2
2 1 1
2 3 0
0 0 0
2 1 2
3 0 3
3 1 1
10 7
0 0 3
2 0 2
3 2 1
0 3 1
3 2 3
2 1 0
1 3 0
3 3 3
2 2 1
2 3 2
10 3
0 1 2
1 0 0
1 2 1
1 1 0
0 2 2
0 2 1
2 1 1
1 0 1
1 1 2
2 1 2
10 7
3 0 1
3 0 2
0 0 1
0 3 3
3 1 0
1 0 0
0 3 1
0 1 0
0 0 3
1 3 2
10 7
0 0 1
2 1 1
1 2 2
0 1 1
2 0 2
0 1 0
2 2 0
2 1 2
2 0 0
1 1 1
10 6
1 0 0
0 1 2
1 1 1
1 1 0
1 2 1
2 2 2
2 0 2
1 1 2
0 2 0
2 1 1
10 9
0 3 0
1 3 3
0 3 2
1 3 2
2 0 2
1 0 1
3 1 3
0 3 1
0 2 3
1 0 3
10 7
1 2 3
0 0 3
0 3 3
3 0 0
3 0 3
2 0 1
3 3 3
2 3 1
2 2 0
0 0 2
10 4
3 2 1
2 0 0
1 2 1
0 1 2
3 1 0
3 3 0
1 3 0
3 0 2
1 0 0
1 3 2
10 6
2 0 2
2 1 1
0 0 0
0 0 1
1 1 0
0 2 2
1 0 1
0 1 2
0 1 1
2 2 1
10 4
3 0 1
2 0 0
3 1 1
2 2 1
0 0 2
2 0 2
2 3 1
3 0 2
1 1 2
3 2 3
10 8
2 1 3
2 3 0
3 0 1
3 2 2
3 1 1
1 1 0
0 1 3
0 3 2
1 3 3
2 3 1
10 3
0 0 3
2 3 0
2 3 1
3 2 1
1 1 1
0 0 1
2 0 0
0 1 0
2 1 2
2 0 3
10 5
1 0 2
1 0 0
1 1 0
1 0 1
2 0 0
2 1 2
2 0 1
0 1 0
0 2 1
1 2 0
10 6
1 0 2
2 2 0
2 1 2
1 1 0
2 1 0
1 2 0
1 1 1
1 0 1
0 1 2
1 2 2
10 9
3 2 0
1 3 2
3 3 3
1 3 3
0 0 3
3 0 2
1 0 2
2 2 0
2 1 2
2 0 2
10 3
2 2 3
1 2 0
2 1 1
1 1 3
0 1 0
3 1 2
3 1 1
1 3 2
0 3 2
2 3 2
10 7
0 0 2
0 2 2
0 2 1
2 0 0
1 1 1
1 1 2
0 1 1
0 2 0
2 1 1
1 2 1
10 9
1 3 3
2 1 1
3 0 0
1 0 3
3 1 0
0 1 1
0 0 2
3 2 2
2 0 2
3 3 1
10 6
3 1 3
3 3 1
0 2 3
0 0 1
0 3 3
0 1 2
2 2 0
1 1 3
1 1 1
2 0 3
10 9
2 1 1
0 2 3
3 3 3
2 0 2
3 1 0
3 2 2
1 1 1
1 2 0
2 2 2
0 0 3
10 2
3 1 0
2 2 2
3 0 2
1 3 3
2 0 1
2 3 1
1 2 1
0 0 2
0 1 0
1 2 2
10 8
1 3 0
0 2 3
3 3 0
0 1 1
2 2 3
2 0 3
1 2 2
0 3 3
3 1 3
1 1 1
10 2
1 0 2
0 2 2
1 1 0
2 0 1
0 0 2
2 1 0
0 1 1
2 0 0
1 0 1
2 2 1
10 2
1 1 0
1 2 1
1 2 2
1 1 2
0 1 0
1 0 0
0 1 1
0 0 0
1 0 1
0 2 0
10 4
0 3 3
1 3 0
3 2 0
2 1 2
1 0 0
1 1 3
1 3 2
0 1 0
3 3 1
2 2 0
10 2
1 1 0
2 0 1
2 2 2
1 1 2
1 2 0
2 2 1
0 2 2
0 1 2
1 1 1
0 2 1
10 4
1 3 3
0 2 2
0 0 0
3 3 3
0 0 3
2 2 0
0 2 1
3 2 1
0 3 3
1 0 0
10 8
1 1 1
1 0 0
0 1 1
1 2 0
2 1 1
0 2 0
1 2 2
0 0 1
1 0 1
1 2 1
10 7
3 0 1
3 2 0
1 2 1
0 0 1
3 1 3
1 2 0
2 0 0
0 3 2
0 2 1
3 3 3
10 9
3 2 0
0 2 1
1 0 3
1 3 3
3 3 0
0 0 0
3 2 3
1 3 1
2 0 0
2 3 1
10 6
1 0 2
1 0 1
2 0 1
1 1 1
1 1 2
2 0 2
0 0 0
2 2 0
2 2 1
0 2 2
10 4
2 1 0
0 0 0
1 2 1
1 0 0
2 2 1
1 1 2
0 0 2
2 1 2
1 0 1
2 0 2
10 9
1 0 2
2 0 1
3 1 3
3 3 1
2 3 3
0 1 1
1 1 0
1 2 1
0 3 0
1 1 2
10 6
1 1 0
2 1 0
1 2 1
1 2 0
1 2 2
0 1 2
1 0 1
2 2 0
2 2 1
2 1 2
10 6
1 0 0
0 0 1
1 1 2
1 0 2
0 1 1
1 2 2
2 2 0
1 1 1
2 1 0
2 1 2
10 5
2 0 2
3 0 0
1 1 1
3 3 0
0 1 0
3 0 2
3 1 2
3 1 0
1 0 0
3 2 3
10 8
0 1 2
1 0 1
0 0 1
2 2 1
1 1 2
0 1 1
1 1 1
1 1 0
2 2 2
2 0 2
10 3
3 2 0
0 1 1
2 2 2
2 3 3
1 0 2
1 3 0
1 1 3
2 2 0
0 2 0
0 2 3
10 9
2 2 1
0 0 0
0 1 1
0 1 0
0 1 3
1 2 1
2 0 0
2 3 1
2 0 2
1 0 3
10 5
0 3 0
2 3 1
0 1 2
3 2 0
0 1 1
1 3 1
2 1 3
1 1 2
0 3 3
3 0 1
10 8
0 0 1
3 2 3
0 2 1
3 2 0
0 1 0
2 2 1
2 0 3
2 1 3
1 0 2
0 1 3
10 9
0 0 2
3 2 2
3 2 1
0 0 3
2 2 2
0 2 2
0 2 0
0 3 2
2 1 1
1 1 1
10 4
2 0 2
1 2 0
2 2 1
2 2 0
1 2 1
2 0 1
2 1 1
0 1 2
2 0 0
2 1 0
10 3
2 3 0
0 2 3
1 2 3
2 3 3
1 2 1
2 2 1
2 0 0
0 3 3
3 2 1
3 1 2
10 3
2 2 2
1 2 2
1 1 2
1 2 0
2 1 0
1 1 0
0 1 1
0 0 1
0 2 1
1 2 1
10 4
2 2 1
2 1 1
1 1 1
2 1 2
2 0 0
1 0 2
0 2 1
0 2 0
0 2 2
1 2 0
10 7
2 1 0
0 0 0
2 0 0
0 0 1
0 2 0
0 0 2
1 2 2
0 2 1
1 2 0
1 1 0
10 9
2 2 1
2 0 1
2 2 2
0 2 1
1 0 2
0 1 0
0 2 0
2 1 0
1 0 1
1 1 2
10 8
1 3 2
0 2 3
0 2 2
2 2 0
0 1 2
1 0 1
2 3 0
2 1 1
1 3 3
3 0 1
10 8
2 3 1
1 2 2
2 0 0
3 0 3
3 3 0
0 0 3
1 3 0
3 2 3
2 3 0
2 0 3
10 5
3 3 0
1 3 2
0 3 2
2 3 3
2 3 1
0 0 2
0 2 3
2 0 2
1 3 3
2 2 0
10 4
1 1 0
3 1 0
2 1 3
3 3 3
0 0 0
1 2 1
0 3 0
0 1 1
2 3 3
1 1 3
10 2
3 1 3
3 0 1
3 3 2
2 0 2
2 2 1
1 1 0
2 3 0
2 3 2
1 0 0
3 3 3
10 3
1 2 1
0 2 2
2 3 1
2 3 3
2 2 2
1 0 1
1 1 1
3 1 1
0 3 0
2 1 2
10 3
0 1 0
1 0 1
0 2 1
2 2 0
0 2 0
2 1 1
2 2 1
1 1 1
0 0 2
2 0 2
10 9
0 2 3
0 3 1
2 0 3
2 0 1
1 1 1
3 2 0
0 0 3
0 0 1
0 2 1
1 2 1
10 2
2 1 2
1 0 2
0 2 2
1 2 1
1 1 1
0 2 1
1 0 1
2 0 1
1 2 0
2 2 0
10 4
3 2 1
3 1 0
3 0 3
2 2 0
2 0 0
1 0 0
0 2 1
2 1 0
3 1 3
1 0 1
10 5
1 0 0
1 3 3
2 1 3
3 2 3
3 1 0
1 1 2
0 2 1
3 0 3
2 2 2
0 0 0
10 9
3 3 1
0 3 2
3 1 0
2 2 3
1 3 1
1 0 2
2 1 1
0 1 1
1 3 0
1 3 2
10 5
1 1 1
0 2 0
0 0 1
0 0 2
0 2 1
2 2 0
1 0 1
1 1 2
2 0 2
1 0 0
10 8
0 1 0
3 3 1
1 2 0
2 1 2
1 3 3
0 2 1
1 0 3
3 0 1
3 1 2
1 2 1
10 4
2 1 0
2 0 1
2 1 2
1 2 2
2 2 2
0 1 2
1 2 0
1 1 2
0 0 1
2 0 2
10 6
0 0 1
0 2 1
0 0 2
2 0 1
2 2 2
1 1 1
2 2 0
0 1 2
1 0 0
2 1 0
10 7
2 1 3
0 2 1
0 0 2
1 2 0
2 3 3
3 1 0
1 1 3
2 3 0
2 0 2
3 0 1
10 8
0 0 0
0 1 2
2 2 1
0 1 0
0 2 2
1 0 2
0 0 2
1 0 0
2 0 1
1 2 0
10 5
0 2 3
0 0 2
2 0 0
2 3 3
1 2 3
3 3 0
3 0 0
3 2 3
1 1 0
0 2 2
10 3
2 0 3
1 3 2
0 3 0
0 1 1
2 2 3
3 1 0
2 1 0
0 0 3
1 0 0
0 1 0
10 5
0 2 1
2 0 0
2 0 1
1 2 1
2 2 0
1 1 0
2 0 2
1 0 0
0 2 2
1 1 2
10 9
2 0 1
1 3 2
1 3 0
3 0 3
1 3 3
2 0 3
0 2 2
1 2 3
0 0 3
0 2 0
10 3
1 1 0
1 1 2
0 1 0
2 0 0
2 1 2
1 0 0
1 1 1
0 2 2
1 2 0
1 2 1
10 6
0 0 1
1 0 1
1 3 3
0 2 1
2 2 3
1 0 3
2 1 2
1 1 2
2 3 2
2 3 3
10 2
1 2 2
0 2 1
2 2 1
1 1 1
2 0 1
2 0 0
0 2 2
1 0 0
1 1 2
0 0 2
10 6
3 3 3
2 2 3
3 2 2
0 3 0
2 1 1
3 1 1
3 2 3
1 2 3
2 1 2
2 0 1
10 5
0 0 2
3 3 3
3 2 2
0 3 1
1 1 2
1 2 0
1 0 1
1 1 3
1 2 1
3 1 2
10 9
2 2 1
2 3 2
1 0 2
3 3 2
0 2 2
1 0 0
2 0 2
3 0 0
3 1 3
0 2 0
10 7
0 0 2
2 2 2
0 3 2
3 1 2
0 1 2
1 1 3
1 2 3
0 3 1
1 3 2
3 0 1
10 5
2 2 2
0 1 0
1 1 0
1 1 2
1 1 1
0 2 1
0 0 0
0 2 2
0 1 1
1 0 1
10 4
2 0 1
2 1 1
1 2 0
1 1 2
1 0 2
1 0 0
2 2 2
0 1 0
2 1 2
0 2 1
10 9
1 0 1
0 2 0
0 1 2
2 2 1
1 0 0
0 1 0
1 2 2
1 0 2
2 0 2
1 1 1
10 8
1 1 1
1 2 0
2 2 2
1 0 0
0 1 2
0 2 0
1 2 2
1 0 2
0 0 1
0 2 2
10 7
3 2 3
1 0 2
3 0 0
1 0 1
1 2 2
0 2 1
0 2 3
3 1 2
1 2 1
0 3 1
10 3
0 0 1
0 0 0
2 0 2
2 2 0
2 2 1
1 0 2
0 1 2
1 0 1
2 1 2
2 2 2
10 8
2 3 3
3 3 0
3 3 3
3 2 3
2 2 0
0 1 0
2 1 1
0 2 3
1 2 2
0 0 0
10 5
0 0 2
0 0 0
3 1 3
3 0 3
2 1 2
2 0 1
1 1 0
0 1 1
3 1 1
3 0 0
10 9
0 2 1
0 0 1
1 0 1
0 0 2
0 2 2
2 1 1
1 1 0
1 0 2
2 0 0
0 0 0
10 3
1 3 1
1 1 1
3 3 1
1 2 1
2 1 3
0 2 1
3 1 2
1 0 2
0 0 1
2 2 1
10 3
0 2 2
2 0 1
1 2 1
2 1 2
0 0 2
0 1 2
2 2 0
0 1 1
1 0 1
1 0 2
10 4
0 1 0
3 1 0
3 1 3
3 2 2
1 2 0
3 2 3
1 0 0
1 2 2
1 1 0
0 3 0
10 9
3 0 1
2 2 2
1 1 3
1 1 2
3 0 3
1 1 1
1 3 0
0 1 3
2 3 1
1 2 2
10 3
1 2 0
1 0 1
0 1 1
1 2 1
0 2 0
1 1 0
2 2 2
2 0 0
1 1 2
0 2 2
10 2
0 2 1
0 0 0
2 1 0
1 2 1
2 2 1
1 1 1
1 2 2
1 1 0
0 2 0
1 0 1
10 5
2 2 0
2 2 3
2 1 0
1 0 2
0 3 3
2 0 0
0 1 1
1 3 0
0 3 1
3 2 2
10 7
2 0 0
2 1 0
1 0 2
2 1 1
0 1 1
0 2 1
0 0 1
1 2 2
2 0 1
0 2 2
10 6
3 0 1
2 2 1
2 2 2
0 3 2
3 3 3
1 2 3
1 3 1
3 3 0
2 3 2
0 1 3
10 3
1 0 2
1 0 3
1 1 2
2 3 1
2 1 2
1 3 1
3 2 3
2 2 0
3 3 1
0 0 3
10 7
0 2 3
3 2 1
2 0 3
2 1 0
3 1 1
3 3 3
3 0 1
2 2 0
1 1 0
3 3 1
10 2
1 2 1
1 1 0
1 1 2
0 1 0
1 2 2
0 0 1
0 2 2
1 0 1
2 1 0
0 0 0
10 4
1 2 1
0 0 1
1 2 2
2 2 2
2 1 2
2 0 0
1 0 1
0 0 0
1 0 2
1 1 1
10 6
1 1 2
3 2 2
0 2 2
1 0 2
3 2 3
1 3 2
0 2 3
1 3 3
2 0 1
3 1 2
10 2
2 3 0
2 2 1
2 3 3
3 2 0
1 2 3
1 0 0
1 1 2
0 1 3
3 0 0
2 2 0
10 3
2 0 2
2 1 1
1 1 0
0 1 1
2 2 1
1 0 0
2 2 2
0 1 0
0 2 1
2 1 2
10 9
0 2 0
3 1 1
1 3 2
2 2 3
2 0 0
1 2 0
3 2 0
0 2 3
2 2 0
1 0 2
10 8
1 1 0
1 2 2
1 0 2
2 1 1
1 1 2
0 2 2
1 2 0
1 0 0
0 1 1
2 0 2
10 6
2 1 1
0 1 0
3 0 2
1 3 3
2 0 0
0 3 1
2 0 1
3 3 0
2 3 3
3 0 1
10 8
2 0 1
0 1 0
2 2 0
0 0 1
2 0 2
2 1 1
0 1 1
0 0 2
2 1 2
0 0 0
10 8
0 0 2
1 0 2
2 0 1
1 1 0
1 2 0
2 0 0
1 0 1
0 2 2
2 1 1
0 1 2
10 6
0 0 2
1 2 0
1 2 1
0 0 0
1 0 2
1 1 2
2 1 2
0 0 1
2 0 1
0 1 1
10 2
2 1 0
1 3 0
3 0 0
0 3 0
3 2 0
3 1 3
1 3 2
3 3 1
0 0 0
0 3 1
10 2
3 2 3
1 3 2
3 1 0
3 0 1
1 1 3
1 2 1
0 1 0
1 3 3
3 3 0
0 0 3
10 9
3 1 2
2 2 1
2 0 2
2 1 3
2 2 0
1 3 0
0 2 3
0 0 1
1 0 1
3 0 3
10 6
1 1 0
0 2 2
1 2 1
2 0 0
2 1 1
0 2 0
2 0 1
0 1 0
0 0 1
2 1 2
10 4
1 2 0
1 1 3
2 0 0
2 3 2
0 0 0
1 2 3
3 1 2
3 1 3
1 1 2
0 1 0
10 7
1 1 0
2 2 1
2 1 1
1 0 2
1 2 1
1 1 2
0 2 2
2 1 0
1 2 0
2 0 2
10 4
0 0 1
0 1 2
1 1 0
0 2 0
1 1 1
0 1 1
1 0 2
2 1 1
2 1 2
1 2 0
10 8
1 2 2
1 0 1
2 1 2
2 2 1
2 2 0
2 0 1
1 2 1
0 1 0
0 0 0
2 1 1
10 7
3 3 2
2 2 3
2 2 1
0 0 2
0 2 1
2 1 3
1 0 1
0 2 2
2 1 1
0 0 3
10 4
1 0 1
3 3 0
3 2 1
2 0 3
3 3 2
1 2 1
3 2 3
1 1 2
3 0 3
3 1 1
10 5
1 0 1
0 2 2
2 2 1
1 1 0
1 2 1
0 2 0
0 0 1
0 1 1
2 1 2
2 1 1
10 4
0 0 1
2 1 0
2 0 2
2 2 2
2 2 0
1 0 1
0 1 0
1 1 0
0 1 2
1 2 2
10 3
0 2 3
3 2 1
1 3 0
3 3 0
1 0 2
2 3 0
2 2 0
1 2 3
0 3 1
2 0 2
10 9
0 0 0
2 2 2
1 2 0
2 2 0
2 0 0
2 1 2
2 1 0
1 2 2
1 1 1
1 2 1
10 3
1 2 2
1 1 0
0 2 2
0 0 0
1 1 1
2 0 2
0 1 0
2 1 1
1 1 2
0 1 1
10 3
2 2 0
1 1 0
2 1 2
2 2 1
0 1 0
2 1 0
0 2 0
0 0 1
0 1 2
1 1 1
10 6
2 2 1
0 3 2
0 3 0
3 2 2
0 0 1
1 1 1
1 3 1
2 3 2
3 1 1
3 2 3
10 2
2 0 1
2 0 2
1 1 1
2 2 1
2 1 0
0 2 0
2 1 2
2 2 0
0 2 1
1 2 2
10 3
2 2 3
2 2 0
0 1 1
1 1 0
3 3 2
1 1 1
0 1 3
3 1 1
0 2 0
1 2 2
10 9
2 0 0
1 2 1
2 1 1
2 1 2
1 1 0
0 1 0
0 0 1
1 0 0
2 2 2
1 1 2
10 4
3 1 3
2 3 2
0 3 1
1 1 2
2 2 2
2 2 3
0 3 2
3 3 1
0 2 1
0 1 1
10 3
0 1 1
2 1 2
0 0 1
2 1 1
0 2 0
2 0 1
1 0 1
0 0 0
2 0 0
2 2 0
10 7
1 2 0
3 0 0
0 1 3
0 2 1
0 3 2
2 1 1
3 2 0
3 1 3
0 0 2
1 1 2
10 5
2 3 2
1 3 0
2 3 0
1 2 0
3 1 1
1 2 3
2 0 3
1 2 2
0 1 0
2 2 3
10 4
0 2 3
1 2 2
0 2 1
1 0 3
3 2 0
2 2 0
0 3 3
0 0 0
3 0 2
2 3 3
10 4
1 0 0
2 0 0
1 0 1
0 0 0
2 0 2
2 2 0
2 0 1
0 2 1
1 0 2
0 2 2
10 3
0 1 0
1 1 1
2 2 3
3 1 3
0 1 2
3 2 0
2 1 0
3 0 1
0 2 0
3 0 2
10 6
3 0 0
0 2 2
3 2 0
2 1 0
3 2 1
3 3 0
1 0 3
2 1 2
1 2 1
2 0 2
10 4
3 3 0
1 3 3
3 2 2
0 0 2
1 3 2
0 0 0
2 0 3
2 0 0
1 1 2
1 0 2
10 7
3 0 2
0 3 3
2 3 1
0 1 1
0 2 1
3 3 2
0 3 2
3 1 1
1 2 1
3 1 0
10 2
0 0 0
0 0 1
0 2 2
1 2 0
0 0 2
0 1 0
0 1 1
0 2 1
1 2 1
1 1 0
10 5
1 0 2
1 2 2
0 0 1
0 3 3
0 1 2
2 3 3
3 3 2
0 0 3
3 3 3
3 0 0
10 7
2 3 3
1 2 0
0 3 1
0 2 3
3 0 0
0 3 2
3 2 0
1 1 2
2 1 0
3 2 3
10 5
2 0 0
3 3 0
1 2 2
2 3 3
3 2 3
3 0 2
1 1 3
2 0 2
0 3 0
1 1 1
10 9
0 3 2
0 1 3
3 1 0
1 0 0
0 1 0
3 2 1
1 3 2
3 1 1
3 2 3
0 0 0
10 5
2 3 0
3 3 2
0 1 1
0 3 3
0 1 3
2 2 2
2 2 3
3 2 1
3 1 0
0 0 2
10 7
0 2 1
2 0 1
3 3 1
1 0 2
1 2 2
1 3 0
1 2 3
3 2 1
3 3 2
1 0 0
10 3
1 2 2
1 1 2
0 2 2
1 3 1
0 0 1
1 3 3
3 3 3
3 1 1
0 1 2
3 3 0
10 3
1 2 0
2 3 3
0 1 2
1 3 2
0 2 3
1 0 2
0 3 3
0 1 3
0 0 1
3 1 0
10 5
2 2 2
2 1 0
1 0 2
1 1 2
1 0 1
2 0 0
1 1 1
0 2 0
1 2 2
2 2 1
10 6
2 0 0
2 1 0
2 2 2
0 0 1
0 1 2
1 0 1
1 1 1
0 2 0
0 1 0
2 0 1
10 8
1 2 2
0 3 3
2 1 3
0 0 0
3 0 3
3 3 0
1 3 3
3 1 3
3 1 2
1 1 3
10 5
1 1 0
0 1 2
0 1 0
2 1 2
2 2 1
1 2 1
0 0 2
2 1 1
1 1 1
2 0 2
10 9
0 2 2
3 0 0
1 1 1
3 0 1
1 2 0
1 1 2
1 0 0
3 2 3
0 3 1
1 1 3
10 5
3 3 3
0 3 1
2 1 1
1 1 2
3 1 0
0 2 2
3 0 2
2 3 2
0 1 2
3 2 0
10 8
2 0 2
1 3 2
2 0 1
0 2 2
3 3 1
1 1 2
2 0 3
2 2 2
0 0 0
0 3 3
10 3
0 0 2
2 3 0
3 2 1
0 2 3
0 0 1
2 2 3
1 1 1
3 2 2
2 0 0
3 0 2
10 2
0 0 2
1 1 2
2 2 0
1 0 0
2 2 1
0 0 0
2 0 1
1 2 2
0 1 1
1 1 0
10 5
0 0 0
1 2 3
1 1 3
2 2 1
0 1 2
1 0 1
0 0 3
0 2 0
1 2 1
3 3 0
10 3
0 0 0
2 1 2
0 1 0
0 1 1
2 0 2
2 1 1
1 2 0
0 0 1
0 2 0
2 2 1
10 6
3 0 3
2 0 1
0 2 3
2 1 3
2 1 2
1 0 1
3 1 2
3 1 3
0 1 1
0 2 0
10 2
0 3 0
3 3 3
3 2 0
0 3 2
3 1 2
1 2 3
1 2 0
0 2 2
3 2 2
3 3 1
10 3
2 1 0
1 1 2
1 2 0
0 1 2
2 1 2
3 3 0
1 1 0
3 2 1
3 1 2
0 2 1
10 4
2 3 1
1 0 0
2 2 2
0 3 3
0 2 2
0 1 2
2 0 3
3 2 1
1 3 1
3 1 1
10 9
2 1 0
1 3 1
1 3 2
0 2 3
3 1 3
0 2 1
2 2 0
1 0 3
1 2 2
1 3 3
10 7
1 2 0
3 0 1
3 2 2
2 0 0
1 1 3
3 1 3
0 0 0
2 3 3
3 0 0
3 1 0
10 2
1 0 1
2 0 2
0 0 0
2 0 0
1 1 1
2 2 2
0 1 1
1 0 2
2 1 1
1 0 0
10 8
0 1 2
0 2 0
1 1 2
2 2 0
2 2 1
2 0 0
1 0 0
1 2 1
0 0 0
1 2 2
10 6
1 2 3
0 1 1
2 0 1
2 3 1
1 0 3
3 2 3
1 2 0
1 3 2
1 2 1
0 0 1
10 7
0 1 2
0 2 2
0 1 1
2 2 2
0 0 2
2 0 0
2 2 1
2 1 0
0 2 0
1 2 2
10 3
0 2 0
0 0 0
2 0 1
1 0 1
0 1 1
0 1 2
1 2 2
1 1 1
1 2 1
0 2 2
10 6
0 1 2
1 2 2
2 2 0
1 1 1
1 0 2
2 2 1
0 0 2
0 1 0
1 0 1
2 0 1
10 2
3 2 3
2 0 2
0 0 1
1 3 3
2 0 1
3 2 0
3 3 3
1 2 0
0 0 3
2 3 2
10 7
2 1 3
1 3 1
0 0 1
2 3 0
1 2 3
0 2 1
3 0 1
0 3 3
0 2 3
0 0 3
10 8
1 3 0
2 0 1
2 0 0
3 1 2
0 3 3
2 0 3
1 2 3
0 2 2
0 1 1
3 2 2
10 2
0 0 1
2 1 1
2 0 0
1 0 2
2 0 2
1 1 2
1 0 0
0 0 0
0 1 1
1 1 0
10 3
2 0 1
2 2 3
2 1 0
0 0 3
3 3 1
0 1 3
3 0 0
1 2 0
1 2 3
3 1 1
10 7
2 3 0
2 0 0
0 1 3
2 0 1
2 3 1
2 1 3
1 1 3
0 0 2
3 1 2
0 3 2
10 7
0 2 2
2 0 1
2 1 0
1 1 2
2 0 0
2 1 2
0 1 1
1 2 2
2 1 1
0 0 1
10 5
1 2 1
0 2 2
2 0 0
0 1 2
2 0 2
1 0 1
2 2 0
1 1 2
0 0 2
2 1 1
10 9
3 3 0
2 3 0
3 0 0
2 2 1
0 2 1
0 1 3
0 1 2
1 0 0
0 2 0
0 2 2
10 8
1 1 1
0 0 1
0 1 0
0 0 2
1 0 0
2 2 0
0 1 1
1 2 2
1 1 0
1 2 0
10 3
1 0 2
2 0 0
0 1 1
2 1 0
2 0 2
2 2 2
1 1 2
1 1 0
0 0 2
0 0 1
10 8
0 1 1
2 0 2
2 1 2
0 0 1
1 2 0
0 2 1
0 2 0
2 1 1
1 0 0
1 1 2
10 8
2 1 1
0 2 1
1 1 1
2 1 0
1 2 1
2 2 1
1 0 1
0 0 0
2 2 2
2 0 2
10 8
0 1 2
2 2 1
2 0 2
0 1 1
0 2 1
0 0 2
1 1 2
1 1 1
2 2 2
1 2 0
10 5
1 2 1
2 2 3
2 3 2
2 2 2
0 0 3
3 1 1
1 3 2
1 0 0
0 1 2
1 3 1
10 3
0 2 1
0 0 0
0 1 2
1 0 0
0 1 0
1 0 1
0 0 1
2 1 1
1 1 1
2 2 2
10 6
2 0 0
1 0 0
0 0 0
1 1 0
0 2 0
0 0 2
0 0 1
1 1 1
1 0 2
0 1 2
10 8
0 2 2
2 2 0
2 0 2
0 0 0
0 1 2
2 1 2
1 0 2
2 0 1
2 1 1
0 2 1
10 7
2 1 2
0 0 2
2 2 2
1 1 1
0 1 2
2 1 1
1 2 2
1 1 2
2 2 1
0 0 0
10 4
2 1 0
0 0 2
0 2 0
2 1 2
0 0 0
1 1 0
1 0 1
2 2 2
0 1 0
1 2 1
10 4
1 2 2
0 1 1
2 2 1
1 0 1
2 1 1
1 1 2
2 0 0
0 0 1
0 2 2
2 0 2
10 9
1 1 2
1 2 0
1 1 0
0 2 1
0 2 0
1 0 0
0 1 2
2 0 1
0 1 1
2 0 0
10 2
3 1 3
1 3 0
0 3 3
3 0 3
2 3 1
1 0 3
2 3 3
2 2 0
1 0 2
2 0 2
10 4
2 1 1
3 2 3
1 1 3
3 3 3
0 0 3
0 0 1
0 0 0
1 0 0
3 0 3
1 2 1
10 9
0 2 0
2 1 2
2 0 2
1 1 1
0 2 1
1 2 0
1 0 1
2 2 1
2 0 1
0 0 1
10 6
1 2 2
0 2 1
1 3 1
3 3 2
0 3 2
3 0 2
3 0 0
2 2 1
2 1 3
1 1 1
10 2
1 0 3
0 1 1
2 2 2
3 0 3
3 3 2
0 1 0
0 1 3
1 1 2
2 3 0
1 3 1
10 8
1 0 1
0 1 3
3 3 1
1 2 0
0 2 1
2 3 1
1 0 2
3 2 3
0 3 0
3 2 1
10 2
0 3 0
0 2 0
1 1 0
2 3 3
3 3 3
0 2 3
0 0 3
3 1 0
3 0 3
3 2 1
10 5
0 0 2
2 2 1
2 2 0
2 0 2
2 1 1
0 0 0
0 2 0
0 0 1
0 1 0
1 1 2
10 4
1 0 2
0 1 0
3 3 0
0 1 1
2 2 0
1 3 1
2 1 3
0 0 3
0 2 0
3 0 3
10 7
2 0 1
2 2 1
0 1 1
1 1 2
1 2 0
1 1 0
1 0 2
2 0 2
1 2 1
0 1 0
10 8
0 1 3
0 3 3
3 1 2
1 0 3
2 1 1
3 3 1
2 2 0
1 0 0
0 0 1
1 2 1
10 3
0 0 1
2 2 3
3 2 1
3 0 2
1 3 1
1 1 3
3 1 3
2 0 0
2 3 0
0 1 1
10 7
0 3 1
3 2 1
1 3 0
1 0 1
2 2 1
2 0 0
3 1 3
2 2 3
3 0 3
1 0 0
10 4
1 0 2
1 0 1
3 0 1
3 1 3
2 0 1
0 0 2
0 0 0
1 0 3
1 1 2
0 1 1
10 3
1 1 1
0 2 1
1 2 2
2 2 2
0 2 0
1 1 0
2 1 1
0 2 2
0 0 2
0 1 2
10 6
2 3 1
1 2 2
0 0 3
0 0 0
1 3 1
1 1 1
3 3 2
2 3 2
0 3 2
3 0 3
10 4
1 3 1
2 3 0
2 2 3
1 1 3
3 0 2
2 1 3
1 0 1
0 2 3
0 1 1
2 3 1
10 8
1 0 1
0 2 0
2 2 1
0 0 1
0 0 0
1 0 0
2 1 0
2 0 0
0 1 0
1 1 1
10 8
0 2 1
1 3 3
3 1 2
1 0 2
1 0 3
2 1 3
0 1 2
2 1 2
0 3 2
0 2 0
10 9
2 0 0
1 1 1
3 3 3
3 1 3
3 1 0
0 3 0
0 0 0
0 3 3
0 0 3
1 1 2
10 4
3 1 1
1 1 0
3 3 2
3 2 1
0 2 0
2 3 1
1 0 3
2 0 3
2 2 2
3 3 3
10 9
2 1 0
1 0 2
1 2 1
1 2 2
1 0 1
0 1 0
0 1 1
0 0 0
0 2 0
2 0 0
10 6
1 0 2
2 0 1
2 1 2
0 1 0
2 0 2
1 1 1
2 2 1
2 2 0
0 1 2
1 2 0
10 4
0 2 2
2 1 0
1 0 1
1 2 0
1 1 2
2 2 2
2 2 0
1 0 0
0 2 0
0 1 1
10 8
2 0 1
1 1 1
0 2 2
3 3 1
2 2 2
0 0 2
0 1 3
1 3 1
0 2 0
0 1 1
10 9
2 2 0
0 0 2
2 0 1
0 1 0
1 1 1
0 1 1
0 2 2
2 1 0
2 2 1
1 0 2
10 7
0 0 1
2 2 2
2 2 0
1 1 1
0 0 2
1 1 2
0 2 1
2 0 2
1 2 2
0 2 0
10 9
2 0 2
0 0 1
0 0 0
0 0 2
2 1 2
1 0 1
1 0 2
2 1 1
1 2 1
1 1 0
10 6
0 0 1
1 0 1
2 1 1
1 1 2
2 1 2
1 2 1
2 0 2
1 2 0
1 0 2
0 1 0
10 8
2 3 0
2 1 2
1 1 2
1 0 2
1 1 0
0 3 1
3 0 2
3 3 1
1 1 1
2 1 0
10 6
1 0 2
3 3 0
0 1 1
3 3 3
1 1 3
1 3 1
1 2 1
3 0 1
0 0 2
1 1 2
10 5
2 1 0
2 2 2
2 0 1
0 1 1
0 0 0
1 0 2
2 1 1
1 2 1
2 1 2
2 0 0
10 3
2 3 0
2 0 1
1 2 2
1 0 0
2 2 2
0 1 3
0 2 2
0 0 2
2 0 0
1 3 2
10 9
1 0 1
0 1 1
0 2 0
1 0 2
2 1 0
1 0 0
0 1 0
1 2 0
1 1 1
0 0 2
10 6
0 0 0
3 2 2
1 3 1
2 0 3
0 2 1
1 0 2
3 1 3
2 3 1
0 0 3
3 3 1
10 3
1 2 2
1 1 1
1 1 2
2 0 2
2 1 2
2 0 0
0 0 1
0 2 0
2 1 1
0 1 1
10 6
1 3 0
0 3 0
3 0 1
1 1 1
1 0 2
1 2 2
3 1 1
0 1 1
2 2 3
0 2 1
10 6
0 1 3
1 2 0
0 1 1
3 2 0
1 3 2
0 0 2
2 0 0
3 1 1
0 3 2
1 1 1
10 9
1 2 2
2 0 2
2 0 0
0 2 1
2 2 0
1 1 0
1 0 1
1 2 1
0 0 0
2 2 2
10 3
3 2 2
3 3 2
0 1 1
1 2 1
3 3 0
2 0 0
0 0 1
3 1 2
1 1 0
1 3 2
10 6
3 2 3
2 0 2
0 3 0
3 2 2
2 2 0
3 1 3
0 2 3
3 2 1
1 1 3
0 0 1
10 2
2 1 1
1 1 1
2 3 0
3 0 1
3 0 0
1 2 1
1 1 3
1 3 1
1 2 0
0 3 1
10 5
2 1 0
1 2 2
0 2 2
2 0 2
2 2 1
1 2 0
0 0 2
0 0 0
1 0 1
0 1 0
10 2
2 1 2
2 0 0
1 2 2
0 1 0
2 0 1
0 0 2
1 2 1
0 2 2
0 0 0
2 2 2
10 2
1 2 3
0 0 1
2 3 2
2 3 0
3 2 1
1 1 1
3 1 3
0 2 3
0 3 3
2 3 3
10 8
2 2 0
0 1 1
1 3 3
0 2 0
0 1 2
0 2 2
1 2 0
3 0 3
3 0 2
3 0 0
10 3
2 1 1
3 3 3
1 2 1
2 3 2
1 2 3
3 2 0
2 3 0
3 0 1
2 2 0
3 1 3
10 7
2 3 2
2 2 2
1 3 0
2 2 1
3 3 0
2 3 0
0 2 3
0 3 2
2 2 0
2 0 1
10 7
3 2 1
0 0 3
3 1 3
0 1 3
1 3 1
0 0 1
3 2 3
0 2 1
2 2 3
2 1 3
10 9
1 0 0
0 2 2
0 2 1
1 0 1
2 2 1
2 2 0
2 1 1
0 1 1
2 1 2
0 1 0
10 9
3 0 2
1 1 1
3 3 1
1 3 3
0 1 2
3 1 1
2 3 2
3 1 0
3 2 3
2 2 1
10 4
2 1 1
1 0 2
1 1 0
2 2 1
2 0 0
1 1 2
0 1 2
1 0 1
1 0 0
0 1 1
10 7
0 1 1
2 0 2
0 2 1
1 2 0
1 1 2
1 1 1
0 1 0
2 2 0
1 1 0
2 1 1
10 2
0 1 0
0 2 1
3 2 2
0 2 0
3 3 3
1 2 3
1 3 3
1 0 1
1 0 2
2 3 3
10 3
2 3 0
2 2 1
1 3 3
0 2 1
3 2 3
2 2 2
0 3 0
2 0 2
0 0 1
0 1 2
10 5
0 0 2
1 0 2
0 1 2
0 2 0
1 2 0
0 2 1
0 0 1
2 0 0
1 0 0
1 1 2
10 2
2 2 0
2 1 0
2 0 1
1 2 0
1 1 1
0 2 2
2 0 0
1 2 2
2 1 1
2 2 2
10 2
1 0 1
2 3 2
2 2 3
0 3 3
3 2 2
3 0 3
0 1 0
0 0 0
2 3 3
3 1 1
10 7
3 3 0
2 0 2
0 2 1
1 1 2
3 0 0
3 2 3
1 3 2
2 2 2
2 0 3
0 0 0
10 4
1 0 0
2 0 0
0 0 2
1 2 2
0 1 0
1 1 2
2 1 2
1 1 1
0 0 0
2 0 2
10 9
1 0 2
1 3 3
2 0 2
0 3 1
2 2 1
3 1 1
3 0 0
3 0 3
1 3 0
1 1 0
10 8
1 1 0
2 2 0
1 2 2
0 0 0
1 0 0
0 2 0
0 1 1
1 0 1
1 0 2
2 0 0
10 8
0 0 2
2 0 2
0 3 2
3 3 0
3 2 0
3 0 0
2 1 1
3 0 1
3 0 2
0 3 1
10 6
0 2 1
0 2 2
0 0 2
0 1 1
0 0 0
2 2 2
1 2 0
1 1 1
0 1 2
0 2 0
10 4
0 2 1
0 3 1
1 3 2
0 1 3
2 0 1
3 1 1
2 3 3
0 0 0
3 3 2
2 0 2
10 6
0 3 2
3 1 2
0 0 3
2 2 1
1 0 1
1 2 2
0 3 1
0 1 2
3 0 2
1 3 0
10 8
1 1 3
0 3 0
3 3 1
0 1 1
3 1 1
2 2 1
2 1 3
1 3 0
0 2 3
1 0 1
10 7
2 2 1
1 0 0
1 2 2
1 0 2
1 1 0
1 2 0
0 1 2
0 2 2
2 1 1
0 0 1
10 4
1 0 2
0 1 2
2 2 2
0 0 1
1 1 2
1 0 0
2 0 1
0 0 0
0 2 2
0 1 1
10 3
0 0 1
1 1 0
0 1 0
1 2 0
0 2 0
2 0 1
1 0 0
0 1 2
2 1 1
0 1 1
10 5
2 2 3
0 1 2
1 1 3
0 0 1
1 1 0
1 3 2
1 0 3
0 2 1
3 3 3
1 3 1
10 6
2 0 1
2 1 1
2 2 2
2 1 2
2 1 0
0 2 1
0 1 0
1 0 0
1 2 0
0 0 2
10 7
1 0 1
0 0 1
0 0 2
1 0 2
2 2 2
1 0 0
2 0 2
0 2 2
1 1 1
0 1 2
10 8
2 1 1
0 2 1
0 1 2
0 2 0
1 1 2
0 0 1
0 1 1
0 0 2
2 0 0
1 0 0
10 6
2 0 1
0 2 2
3 1 1
3 0 0
0 3 0
2 0 2
1 3 3
0 2 1
3 0 2
2 1 1
10 6
2 1 0
1 2 0
2 0 1
0 1 0
2 1 1
2 2 0
0 2 0
2 0 2
2 0 0
0 1 1
10 4
1 0 2
1 1 0
2 0 2
2 1 0
1 2 0
0 0 2
2 0 1
2 1 2
1 2 1
0 0 1
10 8
3 1 1
1 2 0
1 1 3
0 2 3
0 2 0
2 0 0
3 2 3
1 1 1
0 1 0
3 1 0
10 8
2 2 0
0 3 3
2 1 2
1 3 0
0 0 0
0 2 1
1 2 3
1 3 1
0 3 0
3 2 2
10 3
1 3 1
0 3 1
0 0 1
0 3 2
1 0 2
0 0 0
3 2 2
2 0 3
2 3 1
2 1 0
10 9
3 0 2
0 3 2
1 0 2
0 3 3
2 2 3
3 2 3
0 0 1
3 1 1
0 2 3
2 0 0
10 2
2 1 1
2 1 2
1 3 0
1 3 2
1 0 2
1 2 2
0 0 0
2 1 3
0 1 3
0 3 3
10 8
0 0 2
0 2 1
3 2 0
1 0 0
0 1 3
0 2 0
0 0 1
3 3 0
2 0 0
3 1 1
10 4
2 1 1
0 0 2
1 0 1
1 0 0
1 1 1
0 1 2
0 1 0
2 1 2
1 0 2
0 1 1
10 8
2 0 0
3 1 3
1 3 3
0 1 0
1 0 1
2 2 0
3 0 2
3 2 2
1 0 2
2 2 1
10 9
2 1 2
0 0 1
3 2 1
0 1 1
1 3 1
0 3 1
0 1 3
2 0 0
1 2 0
2 3 2
10 5
0 3 0
3 0 1
2 0 3
2 3 2
1 3 0
3 0 0
3 1 1
3 2 0
1 1 0
2 0 0
10 6
1 0 2
2 2 0
0 0 1
2 0 2
1 1 1
2 2 2
0 1 2
2 1 2
2 1 1
1 1 0
10 4
2 2 0
2 2 1
1 2 1
1 1 1
0 2 0
2 0 1
0 0 0
0 1 1
0 2 1
0 0 2
10 4
2 0 0
2 2 0
1 2 0
2 0 1
2 0 2
2 2 1
1 0 1
0 0 2
1 0 2
2 1 1
10 2
1 2 0
2 3 2
3 1 1
3 0 1
1 0 1
3 2 0
1 3 3
0 1 2
0 3 0
0 1 3
10 5
2 2 2
2 1 0
0 2 0
0 0 0
2 1 1
1 2 2
0 1 1
1 1 2
2 2 1
0 2 1
10 8
0 0 1
2 2 2
0 2 0
2 2 1
1 0 2
2 0 1
0 2 2
0 0 2
1 2 0
1 0 0
10 8
2 1 1
2 2 0
3 2 1
1 0 0
3 3 0
3 0 1
2 3 3
2 0 2
0 2 3
1 0 1
10 3
1 1 0
0 2 0
0 0 2
0 0 1
1 0 0
2 0 1
1 1 2
0 2 2
2 2 2
0 1 1
10 5
1 0 2
3 3 3
1 0 1
3 2 0
2 1 3
0 0 2
3 0 1
1 1 1
0 2 1
3 2 2
10 9
0 1 0
2 0 2
1 2 1
1 1 0
0 0 1
1 0 2
2 2 0
2 1 2
0 2 2
2 1 0
10 9
0 0 2
1 2 0
2 2 0
0 1 0
2 0 1
2 0 0
1 0 2
0 2 0
0 1 1
0 2 2
10 7
2 2 1
0 0 1
0 1 2
2 0 0
2 1 2
0 2 0
1 2 1
0 0 0
2 0 1
2 2 2
10 2
3 2 0
3 1 1
2 3 1
2 3 3
3 3 1
2 1 3
1 3 1
1 1 1
0 0 3
3 1 0
10 9
0 0 0
2 2 0
0 1 1
1 2 0
0 0 1
3 3 1
2 0 1
2 0 3
1 3 1
1 1 2
10 7
3 3 2
2 2 2
2 2 3
3 0 1
2 3 1
3 0 0
0 1 3
3 1 1
1 1 3
1 2 2
10 3
2 1 0
1 3 2
3 3 2
0 2 0
2 0 0
2 0 2
1 0 3
0 1 1
1 1 2
3 2 3
10 7
1 0 2
3 1 2
3 2 2
1 1 2
0 0 2
1 3 3
2 0 0
3 0 0
0 3 3
1 3 1
10 4
1 1 1
0 1 1
3 3 3
2 0 0
3 1 0
2 0 2
0 3 1
3 2 3
3 1 2
3 2 2
10 2
3 1 1
0 1 2
2 3 2
0 3 3
2 1 3
2 0 1
1 1 3
0 3 2
0 1 1
2 3 0
10 7
1 3 3
1 2 2
3 1 3
1 0 1
2 1 2
3 3 2
0 3 3
0 1 1
0 0 1
1 1 0
10 5
0 0 1
0 1 1
1 1 2
1 0 0
2 2 1
2 2 0
0 2 1
2 1 0
2 0 0
2 1 1
10 5
2 0 1
0 2 0
1 0 2
0 1 2
1 1 0
2 2 1
1 1 1
2 0 0
2 1 0
2 0 2
10 8
1 2 0
0 0 1
1 2 1
0 2 0
1 1 2
2 0 2
2 1 0
0 0 2
2 0 1
1 1 0
10 7
3 1 0
2 3 1
2 2 0
0 2 3
1 3 1
1 3 2
0 2 1
2 3 0
3 1 3
0 3 1
10 6
0 1 1
1 0 0
3 2 1
3 0 3
1 1 3
3 0 1
0 3 0
2 2 2
1 0 2
2 2 1
10 8
3 0 2
2 2 1
2 3 2
1 0 1
1 1 0
3 2 0
3 0 0
2 1 2
1 1 2
2 0 2
10 3
1 1 2
3 3 2
3 1 0
0 1 1
0 2 2
1 2 2
2 1 3
2 0 1
3 0 1
0 1 3
10 7
2 0 2
1 1 1
0 1 0
0 1 1
0 2 0
0 1 2
1 1 2
0 0 1
1 2 0
0 2 1
10 7
0 2 1
2 2 0
3 0 0
3 2 3
1 3 0
0 2 3
3 1 2
2 0 1
2 1 1
2 3 2
10 4
1 0 0
0 0 0
0 1 2
0 0 2
2 1 1
0 0 1
2 0 2
2 2 0
2 0 1
1 1 0
10 5
0 2 2
0 0 1
1 2 2
0 2 0
1 0 1
2 0 2
2 1 1
2 2 2
0 1 0
0 1 2
10 4
1 3 1
1 2 1
1 3 3
1 0 1
3 3 0
3 1 1
3 3 3
1 1 1
2 0 3
0 3 3
10 2
1 0 0
1 1 1
0 1 2
1 2 0
2 0 2
2 1 0
2 0 0
1 2 2
0 2 0
0 0 1
10 8
1 0 1
0 1 2
1 1 0
0 0 1
2 1 0
1 1 2
2 2 0
1 2 0
2 1 2
0 1 1
10 7
1 1 1
0 2 2
2 1 2
1 1 0
0 2 1
1 1 2
1 2 1
0 1 2
2 1 0
2 2 2
10 7
2 2 1
2 2 2
1 1 2
1 0 0
1 2 1
0 1 1
1 0 1
0 0 0
0 2 1
2 1 0
10 4
1 1 1
1 0 1
2 1 0
0 1 2
1 1 2
2 0 0
0 0 2
0 1 1
2 1 1
1 2 2
10 2
3 1 0
1 1 0
0 0 3
0 0 1
1 2 2
1 0 0
1 2 1
2 3 3
0 1 1
2 1 0
10 7
2 2 1
1 0 1
2 2 0
0 1 0
1 1 1
2 0 2
0 0 0
0 2 1
1 1 2
1 0 0
10 7
1 2 3
1 3 2
2 0 0
3 3 1
1 1 3
0 2 3
3 2 0
2 2 1
1 2 2
2 3 0
10 9
2 1 2
3 3 1
3 0 0
3 1 3
1 1 3
3 2 0
0 0 1
3 1 2
2 1 1
0 3 3
10 9
2 2 1
1 1 1
2 0 1
2 1 2
2 0 0
1 0 1
2 1 0
0 1 1
2 0 2
2 1 1
10 2
2 2 2
2 0 0
2 1 2
1 1 1
2 0 2
0 1 1
1 0 2
0 1 2
2 1 1
1 2 2
10 7
2 1 0
0 1 2
0 2 1
1 1 2
0 0 1
0 1 0
0 2 2
0 0 0
1 2 1
2 2 0
10 9
0 1 0
2 2 0
2 1 0
0 0 1
1 0 0
0 2 2
0 1 2
1 1 1
2 2 1
0 2 1
10 9
3 1 2
1 1 3
2 2 0
1 2 3
2 3 0
1 2 1
2 3 1
3 3 1
1 0 1
0 2 2
10 3
3 0 0
2 2 2
3 1 3
1 0 0
0 2 1
1 3 0
2 3 0
2 0 2
2 1 1
2 2 1
10 8
2 1 1
0 2 1
1 0 3
1 2 2
3 2 0
2 3 3
2 1 3
1 1 1
0 0 2
1 2 3
10 5
1 2 2
2 1 0
1 1 2
1 2 0
1 1 1
2 1 2
0 0 2
0 1 0
1 0 1
0 2 2
10 9
0 3 3
3 0 0
3 1 3
1 2 1
2 0 2
1 2 2
3 2 3
1 3 1
0 1 0
1 3 0
10 6
2 1 2
1 1 0
0 0 1
2 3 0
1 3 3
0 3 2
0 0 0
0 1 1
3 1 1
2 3 3
10 7
0 3 1
3 1 1
1 2 0
3 1 3
0 0 2
2 1 0
3 3 3
1 0 1
1 1 2
2 3 3
10 4
0 0 3
3 3 0
0 0 2
2 3 3
3 0 3
3 1 3
3 0 0
1 2 2
1 1 3
2 3 0
10 8
1 0 1
2 1 3
3 3 0
0 0 2
0 2 3
0 3 0
3 0 2
1 3 3
0 0 1
3 2 3
10 3
1 0 0
2 2 1
2 1 0
1 1 2
2 0 0
0 1 1
2 0 2
1 2 0
2 2 0
2 2 2
10 4
1 0 2
1 1 1
0 2 1
2 1 0
1 0 0
1 1 2
2 2 2
1 0 1
0 2 2
2 0 1
10 9
2 2 2
2 1 0
0 0 0
2 0 1
1 2 2
1 0 0
1 1 1
0 2 0
0 2 1
2 2 0
10 6
3 0 3
1 1 2
2 1 1
2 1 3
0 2 3
3 2 3
0 0 3
0 2 0
0 3 3
1 0 3
10 7
1 1 0
1 2 0
0 0 2
0 0 1
1 2 2
0 1 0
1 1 1
2 1 0
2 2 2
2 1 2
10 2
1 0 3
2 0 1
2 0 3
0 0 3
3 0 0
3 3 3
1 3 0
1 2 1
0 1 2
1 3 3
10 6
2 1 2
2 2 1
0 1 0
2 2 2
0 2 0
1 0 0
2 0 1
1 2 2
0 0 0
0 0 2
10 8
0 0 2
1 3 1
3 0 2
1 1 0
2 2 3
1 0 0
2 2 0
1 2 0
2 0 3
2 0 2
10 7
2 1 2
0 3 1
1 0 2
0 1 3
1 0 1
1 2 0
3 3 3
1 3 1
1 2 1
3 2 2
10 6
0 0 1
0 0 0
0 1 0
0 2 0
2 0 0
2 1 1
1 1 0
0 1 2
1 2 1
2 2 0
10 6
2 0 3
3 1 1
1 2 2
2 1 1
2 3 1
2 1 3
0 2 1
1 2 1
0 3 1
1 0 1
10 5
0 1 2
2 2 2
0 2 2
0 1 0
0 0 0
2 2 1
1 2 0
0 1 1
1 0 0
2 1 1
10 9
1 2 1
2 0 1
2 2 0
1 0 2
2 0 0
0 1 1
1 0 1
0 0 0
1 2 2
2 1 2
10 9
0 1 2
2 0 1
0 2 0
0 1 1
2 1 1
0 2 1
2 0 2
1 2 1
1 2 2
1 0 0
10 3
3 2 1
2 0 2
1 1 0
0 2 0
0 1 3
2 2 2
1 1 1
0 3 1
2 2 0
0 0 1
10 2
1 0 3
0 1 2
1 3 1
2 1 3
2 2 2
0 3 3
1 1 1
3 2 3
0 2 1
1 1 0
10 9
1 2 2
0 2 2
2 1 0
0 1 2
2 2 1
2 2 2
2 0 2
1 1 0
1 0 0
2 1 1
10 6
0 1 0
0 2 2
0 0 2
1 1 2
2 0 0
2 2 2
2 0 2
2 2 0
2 2 1
0 0 1
10 3
3 3 0
0 1 0
2 2 3
2 0 0
2 3 0
0 3 2
3 1 3
1 3 1
1 1 1
0 2 3
10 4
0 0 2
0 1 2
1 1 2
2 2 2
1 2 2
1 0 1
2 1 0
2 0 0
0 2 0
0 0 0
10 9
2 3 2
2 2 1
1 1 2
2 3 1
3 1 0
0 2 1
0 3 2
3 1 3
1 0 0
3 1 1
10 6
1 1 1
2 2 0
0 0 0
1 1 2
2 2 2
0 1 2
0 0 2
0 1 0
1 2 0
0 2 1
10 3
0 2 1
2 2 0
1 1 2
1 0 1
1 1 1
0 1 2
1 0 2
0 0 2
0 2 2
1 2 1
10 6
1 1 0
0 0 1
2 0 2
1 3 3
1 2 0
3 2 3
2 1 2
3 3 3
3 0 1
3 0 2
10 4
1 0 2
1 0 0
2 2 1
2 1 1
1 0 1
0 2 2
0 2 0
1 2 2
0 1 2
2 0 0
10 2
2 2 1
2 1 0
1 0 1
0 0 2
2 0 1
0 0 1
2 2 0
1 1 0
2 0 0
0 0 0
10 2
1 0 2
1 2 0
1 0 0
2 0 2
0 2 1
1 1 0
1 0 1
0 0 1
2 0 1
2 0 0
10 9
2 2 1
1 2 0
1 0 1
1 2 1
1 0 2
0 1 0
1 0 0
0 1 2
0 1 1
2 1 2
10 8
3 0 1
3 3 1
3 3 0
2 1 0
0 0 1
0 2 2
1 3 2
3 1 3
2 3 1
3 0 2
10 6
0 2 0
1 1 0
0 1 1
2 1 1
1 0 1
2 0 1
1 0 0
0 0 2
0 1 2
2 2 0
10 3
2 2 3
1 1 1
1 3 1
2 1 0
2 0 3
3 0 1
0 0 1
3 0 2
0 1 3
3 3 3
10 6
0 1 0
2 1 1
0 2 1
0 1 1
1 2 2
1 0 0
2 0 2
0 2 0
2 2 2
0 1 2
10 8
2 1 2
2 2 1
1 2 0
2 0 1
0 1 2
3 0 1
3 1 1
2 3 3
3 2 3
3 1 2
10 7
2 2 2
0 3 2
2 1 3
2 2 1
3 0 1
1 1 0
0 1 0
3 3 2
0 2 3
3 0 0
10 9
0 0 0
2 1 1
0 2 2
0 1 1
2 2 2
1 1 0
0 0 2
2 2 1
0 2 1
2 0 1
10 2
1 2 1
2 0 1
0 2 2
1 1 2
0 1 2
2 2 0
1 0 0
0 1 0
1 0 1
1 2 0
10 5
2 1 0
0 1 2
1 2 1
1 1 2
2 1 1
2 1 2
1 1 0
0 1 1
1 1 1
2 2 2
10 3
3 2 1
1 1 3
1 2 0
2 3 2
2 3 1
3 1 1
1 0 2
3 3 2
1 2 2
2 0 0
10 5
2 2 2
2 0 3
3 1 0
3 1 1
2 2 3
2 3 1
1 0 1
0 1 2
0 0 0
0 1 0
10 5
2 3 3
0 0 3
0 1 3
1 1 0
1 2 0
3 0 1
3 1 1
1 0 2
2 1 2
1 3 1
10 4
3 1 1
0 1 0
2 3 3
2 0 2
3 3 2
3 2 3
2 0 0
1 2 0
2 1 2
3 0 1
10 8
0 1 2
2 2 1
0 1 0
2 1 2
1 0 1
1 1 2
0 0 0
1 1 1
0 0 1
2 1 0
10 7
0 2 2
1 1 0
2 1 0
2 1 2
2 2 1
2 1 1
0 2 1
0 0 1
2 2 2
0 1 1
10 3
2 2 1
0 1 0
2 0 2
0 2 0
1 0 1
2 1 1
1 2 2
2 0 0
0 0 0
0 2 1
10 7
2 2 2
0 2 3
0 1 1
1 3 3
0 3 2
0 0 1
2 3 3
0 1 2
1 3 2
0 2 2
10 2
0 2 0
0 2 3
2 2 1
3 1 1
2 3 3
2 3 1
1 0 1
1 3 1
2 2 2
0 0 2
10 5
0 0 3
2 3 3
3 0 0
2 0 1
3 1 3
1 1 3
3 3 1
0 0 2
2 1 3
2 2 2
10 3
1 0 0
2 1 2
0 0 3
1 0 3
2 3 1
0 1 0
3 1 3
1 2 2
1 2 1
0 2 3
10 6
2 3 3
0 3 0
2 2 2
1 3 1
2 2 1
2 2 3
1 1 3
2 3 0
0 2 0
3 3 3
10 2
1 1 0
1 0 1
0 1 3
3 2 0
3 3 0
0 3 2
1 1 3
2 1 3
1 2 2
2 2 0
10 3
2 3 3
0 2 2
2 1 2
0 2 3
3 0 2
2 0 2
1 0 0
3 2 1
0 3 3
2 3 0
10 3
1 1 2
2 2 0
0 0 0
0 1 1
1 1 1
2 0 0
2 0 1
0 0 2
1 0 2
1 2 2
10 5
2 2 2
1 2 0
3 3 0
0 1 3
3 0 0
3 1 1
0 0 1
1 2 3
0 2 2
3 3 3
10 6
1 0 2
1 2 0
0 1 0
0 2 2
2 1 0
2 2 2
2 0 0
1 0 1
2 2 0
2 1 1
10 5
2 0 3
0 3 1
3 0 3
0 0 1
0 0 3
3 1 0
2 3 1
2 3 3
1 3 0
2 1 3
10 5
0 0 1
2 0 2
2 0 1
1 2 1
1 1 2
0 1 0
2 2 0
0 1 2
2 2 1
1 1 1
10 4
0 0 2
2 0 0
1 2 1
2 1 0
0 1 0
1 1 1
1 0 2
2 0 1
0 1 1
2 2 0
10 8
3 0 0
0 2 1
1 1 0
0 2 2
0 2 3
0 3 1
1 3 2
3 0 3
3 1 1
3 3 1
10 3
1 0 1
0 0 0
1 0 2
2 3 0
0 0 1
1 1 0
2 1 1
2 3 3
3 0 3
0 1 3
10 8
1 1 2
1 2 0
0 0 2
2 1 1
0 0 1
0 1 2
2 1 2
2 2 2
2 2 0
0 2 0
10 7
0 1 1
0 2 1
2 0 0
0 2 0
2 2 2
0 1 0
2 2 1
2 1 0
0 0 1
0 2 2
10 6
2 2 0
2 1 0
0 0 0
0 2 0
1 1 2
1 2 0
0 1 2
0 1 1
0 2 2
1 1 1
10 2
1 1 2
0 0 1
0 1 2
2 1 0
0 2 1
0 1 1
2 1 2
2 2 0
0 1 0
0 0 2
10 6
2 2 2
0 0 2
2 0 1
2 0 0
1 0 1
1 1 0
1 0 0
2 1 0
2 1 2
0 0 1
10 5
0 1 0
1 1 2
0 0 1
0 1 1
1 2 1
1 0 2
1 2 2
0 2 0
2 2 0
0 0 0
10 4
3 2 2
1 1 3
0 3 2
2 1 1
3 0 2
1 3 3
2 3 2
3 3 2
3 1 1
2 0 1
10 9
1 0 0
0 2 0
2 2 2
0 0 0
2 0 2
0 1 1
1 0 1
2 1 1
1 1 0
1 2 0
10 2
0 0 0
0 0 1
2 1 2
1 2 0
1 1 1
2 0 1
2 2 2
0 1 0
1 1 0
2 0 2
10 5
3 1 1
0 0 1
3 2 0
1 0 3
3 2 1
2 1 1
3 1 3
0 3 2
3 0 1
2 0 2
10 7
0 0 0
0 2 1
1 0 1
1 2 1
2 2 0
2 2 1
2 1 1
0 1 2
0 2 2
0 2 0
10 4
0 3 3
0 1 3
3 0 0
1 0 2
1 2 1
0 1 2
1 2 3
2 2 0
3 0 3
1 0 3
10 8
0 3 1
2 2 1
2 3 1
2 0 0
2 1 1
2 2 2
0 1 3
1 1 1
1 3 3
3 3 1
10 5
2 0 0
2 1 0
0 0 0
1 0 1
1 1 1
0 2 1
1 2 0
2 2 0
0 0 1
0 2 0
10 6
0 2 3
1 0 2
3 0 3
3 0 1
0 1 3
2 1 0
3 3 2
2 1 1
1 3 0
3 2 2
10 9
0 0 0
0 2 1
0 3 3
0 3 0
1 2 3
1 1 3
3 3 3
1 3 3
3 3 1
1 0 0
10 8
2 1 0
2 2 0
2 1 2
0 0 2
2 0 0
0 0 0
0 2 1
0 1 1
1 1 2
2 0 1
10 7
0 0 1
1 2 0
1 0 0
2 1 0
1 0 1
2 1 2
2 2 2
1 1 1
0 2 2
0 2 1
10 8
1 0 2
2 1 1
1 1 1
2 2 2
2 1 2
0 0 2
2 2 0
2 2 1
0 2 1
2 0 0
10 3
1 3 3
2 1 2
2 3 2
3 1 2
2 3 1
0 1 3
0 0 1
0 2 0
3 3 0
1 1 3
10 8
1 2 2
2 0 2
1 2 1
2 0 1
2 1 1
0 2 0
2 0 0
0 0 0
0 2 2
0 1 2
10 5
0 1 1
1 0 2
2 0 2
2 1 1
0 1 0
1 2 2
0 0 2
2 0 1
1 1 1
0 1 2
10 4
0 2 2
2 2 1
0 0 0
1 2 2
2 1 2
1 1 1
2 0 2
0 0 1
0 1 1
1 0 2
10 5
1 2 3
1 2 2
2 1 0
1 2 0
0 0 3
2 0 3
1 3 3
3 1 3
0 3 3
3 0 0
10 4
0 1 2
3 0 2
1 3 0
0 3 2
2 0 1
3 0 0
2 0 2
2 1 0
3 3 0
2 1 2
10 4
1 1 2
1 3 2
3 0 2
2 3 0
0 1 3
2 0 3
3 1 1
3 0 0
3 3 3
3 2 0
10 4
3 0 1
0 0 0
2 3 3
0 0 3
3 1 3
3 2 0
3 0 3
1 2 0
1 3 0
3 1 1
10 8
3 1 3
2 3 1
1 3 2
2 1 3
0 0 2
0 1 3
3 2 1
2 3 2
3 1 2
1 0 3
10 8
2 1 0
2 0 1
2 1 1
0 2 0
2 2 0
1 1 0
3 3 0
1 3 0
1 1 1
0 3 3
10 8
1 3 0
3 2 2
3 2 1
3 2 0
2 0 2
2 3 0
1 1 1
3 0 3
3 1 0
3 1 2
10 8
0 1 2
1 2 2
0 0 2
2 0 1
2 1 0
0 0 1
1 0 1
1 1 1
2 1 1
0 0 0
10 7
1 2 0
0 0 2
1 0 2
1 0 1
2 2 1
0 0 0
0 2 1
0 1 2
1 1 1
0 0 1
10 7
0 1 2
2 0 0
0 0 0
2 1 1
0 2 2
0 1 0
1 0 0
1 2 2
2 2 1
1 0 1
10 4
2 0 1
2 0 0
2 1 2
0 1 2
0 1 1
2 1 1
2 2 1
0 0 0
1 0 0
1 0 1
10 9
2 3 3
3 2 0
0 0 2
1 2 3
2 1 3
3 0 2
0 0 3
0 3 1
0 0 0
2 0 2
10 3
1 0 0
2 0 2
0 2 0
1 2 0
0 0 1
0 1 2
1 1 2
2 1 0
2 0 0
0 1 1
10 5
1 0 2
2 2 1
2 0 0
2 1 1
1 2 1
1 2 2
0 0 2
0 2 1
0 1 1
0 2 2
10 9
3 1 0
2 0 3
1 1 0
0 1 2
2 1 3
0 2 3
3 0 3
3 1 1
2 0 2
3 3 3
10 8
1 2 3
1 0 0
0 2 3
2 3 2
3 2 1
1 3 2
2 0 1
0 1 2
0 0 2
3 1 3
10 6
2 2 0
1 1 1
0 0 1
1 0 0
2 2 1
1 2 2
1 1 2
0 1 1
2 0 0
1 1 0
10 4
1 2 1
1 3 2
3 3 3
3 3 2
3 2 1
2 0 1
2 2 0
3 2 2
1 2 2
0 1 2
10 8
3 3 1
0 3 2
1 1 0
0 2 1
2 1 1
2 1 3
1 3 3
2 2 3
1 3 0
0 2 0
10 3
0 0 2
2 1 0
1 1 1
0 2 1
0 0 1
2 1 2
0 2 2
1 0 0
1 1 2
1 0 1
10 7
0 0 2
3 1 3
2 1 2
3 1 0
1 3 3
0 3 2
0 0 1
0 3 3
3 3 0
3 0 0
10 8
1 1 2
1 2 2
0 0 2
0 1 0
1 1 1
1 2 0
0 0 0
2 2 2
2 0 2
2 1 2
10 7
0 0 3
0 1 3
1 1 1
1 0 1
3 1 0
3 3 3
1 2 2
0 1 1
3 3 0
0 0 0
10 5
2 2 1
2 0 1
1 1 2
0 1 1
0 0 0
1 2 1
2 2 2
1 2 2
2 0 0
2 0 2
10 3
1 0 0
1 0 1
3 1 1
2 2 2
1 2 3
2 3 0
0 1 0
1 3 3
0 0 1
0 0 0
10 6
2 0 0
0 2 2
2 1 1
1 2 1
0 0 0
0 1 0
0 2 1
1 1 1
2 0 2
1 0 1
10 9
2 1 2
0 1 0
1 0 1
0 1 2
0 0 1
1 2 0
1 0 2
1 0 0
2 0 0
1 1 2
10 9
0 1 0
2 2 1
1 2 2
0 0 1
1 0 0
2 2 0
2 0 0
2 1 2
2 1 1
0 2 0
10 9
0 0 3
0 2 0
1 2 0
0 2 2
3 0 3
1 3 2
3 2 2
0 1 2
1 1 1
3 3 1
10 4
3 1 0
1 3 1
3 0 3
3 1 2
2 0 1
3 1 1
0 2 1
3 3 3
1 1 2
3 3 1
10 8
2 0 0
1 1 1
2 0 1
0 2 2
2 1 2
1 0 1
1 0 0
2 0 2
0 1 0
0 2 0
10 2
1 1 1
2 2 0
2 0 0
1 2 1
0 2 0
0 1 2
0 1 0
1 2 0
0 0 0
2 1 1
10 2
2 2 2
3 1 2
0 3 2
3 0 1
1 2 1
3 1 0
3 1 3
1 0 3
2 3 3
1 0 1
10 8
0 2 1
0 0 2
0 0 0
0 1 0
1 1 2
2 0 1
0 1 2
2 2 2
2 2 0
2 2 1
10 9
1 0 3
1 2 3
2 0 3
1 3 3
3 3 3
2 0 0
0 3 1
3 1 3
2 1 0
3 0 1
10 7
0 1 1
0 1 2
1 2 2
2 1 1
1 1 1
0 2 1
0 1 0
0 0 2
2 2 0
2 0 2
10 5
2 2 2
1 3 0
2 0 2
0 2 2
1 0 1
1 2 1
0 3 1
0 3 3
2 2 1
0 2 1
10 5
2 1 2
2 1 1
0 0 1
1 0 2
0 1 0
0 2 1
0 2 2
0 1 2
1 2 2
1 0 0
10 2
2 0 3
2 3 1
2 0 1
3 0 3
1 1 3
3 0 2
1 3 3
2 2 2
3 1 0
3 1 1
10 9
2 1 1
2 2 1
2 0 1
2 1 2
0 1 0
2 0 2
1 1 0
1 1 2
0 2 0
0 0 2
10 5
3 1 1
2 1 0
0 1 3
1 1 1
2 0 1
2 3 1
2 1 2
3 3 2
3 0 0
1 0 3
10 7
0 1 1
0 0 1
0 1 0
1 0 0
2 2 1
0 2 1
2 2 2
2 0 1
0 0 0
1 1 1
10 7
0 2 0
1 2 1
1 1 1
0 0 1
0 0 0
2 0 1
2 1 1
1 2 0
1 0 0
0 2 2
10 8
2 0 1
0 0 1
0 0 2
0 0 0
1 1 0
0 2 2
2 0 2
1 2 2
0 1 1
2 1 2
10 5
2 2 2
2 2 0
2 3 2
1 0 2
3 3 0
1 1 2
1 0 3
1 3 0
2 2 3
0 2 1
10 8
0 2 3
1 0 3
2 3 1
2 1 0
0 0 1
3 0 1
3 2 3
3 0 0
0 2 2
3 2 1
10 5
1 0 0
1 2 0
0 2 2
0 2 1
0 1 0
2 0 0
1 2 1
2 2 1
1 1 2
1 0 2
10 4
0 2 0
1 2 0
1 0 0
1 1 1
1 0 1
2 2 1
0 2 2
2 0 0
1 1 2
0 0 0
10 2
2 0 1
1 0 1
2 0 2
2 0 0
1 0 2
2 1 1
2 2 2
0 1 0
0 0 0
0 2 1
10 5
1 1 0
0 0 3
3 1 0
0 1 0
0 2 2
3 2 0
1 3 2
0 3 0
3 0 0
3 3 1
10 4
0 0 0
1 2 0
0 0 1
2 0 1
1 2 1
0 2 0
0 2 1
1 0 0
0 1 1
1 1 2
10 3
1 2 1
0 2 1
2 1 1
1 1 0
0 1 1
2 2 2
0 2 2
1 0 1
1 0 0
1 2 0
10 9
3 3 0
3 1 0
3 2 3
3 2 0
1 2 2
3 0 1
0 1 3
2 0 0
1 3 2
1 1 2
10 8
3 1 2
2 1 0
1 3 1
2 1 3
1 0 0
3 2 1
0 3 1
2 3 0
2 2 2
0 3 3
10 2
2 2 2
2 2 0
1 0 3
1 3 2
2 0 2
1 1 3
2 3 3
0 0 0
0 1 2
3 1 3
10 9
1 2 0
2 0 3
3 0 1
1 1 3
3 1 3
0 2 0
2 1 0
3 2 1
1 0 2
2 0 0
10 3
3 3 2
3 3 1
0 1 0
3 2 1
0 3 3
2 0 3
3 1 0
0 0 3
2 0 1
1 1 3
10 9
1 2 2
1 0 2
0 0 0
0 0 2
2 1 2
0 2 1
1 2 0
1 0 1
2 0 2
2 2 0
10 8
1 0 0
0 1 3
2 1 1
3 3 2
1 1 1
1 3 2
0 0 3
1 1 3
1 3 0
0 1 1
10 9
0 0 1
3 0 2
1 0 3
3 2 1
0 2 2
2 2 0
1 3 3
0 2 1
2 0 3
3 3 1
10 9
1 0 3
1 2 0
0 3 2
3 1 0
2 0 1
0 0 2
2 0 2
0 2 0
1 0 0
2 2 1
10 4
1 0 0
1 1 0
0 1 2
0 2 1
0 0 0
0 1 1
2 1 0
2 2 2
2 0 0
1 1 1
10 8
3 3 2
1 2 1
2 3 1
3 2 0
1 1 3
0 3 3
3 1 2
3 1 0
0 1 3
1 3 3
10 7
0 3 1
1 0 2
3 0 1
2 0 0
1 2 2
0 0 2
3 2 1
3 3 1
1 0 0
3 3 3
10 6
2 2 2
2 2 1
0 1 1
2 1 1
0 0 2
0 0 1
0 2 2
1 0 2
1 0 0
1 1 0
10 2
0 1 1
1 2 0
2 1 1
2 2 1
0 0 2
0 2 0
0 0 0
2 0 2
2 0 1
1 0 0
10 8
3 1 3
3 3 0
0 1 1
3 0 2
3 1 1
1 2 0
1 2 1
3 1 0
1 0 1
2 0 1
10 7
1 0 2
1 2 2
1 0 0
1 2 0
3 0 2
1 1 3
3 1 1
3 1 3
2 3 1
1 2 1
10 7
1 0 1
3 1 2
0 2 0
1 1 1
1 2 0
1 3 2
2 3 0
0 3 0
3 2 0
3 1 3
10 8
0 2 0
0 1 0
1 3 1
0 3 3
3 2 3
2 0 2
1 3 0
3 2 2
3 2 1
2 1 1
10 9
2 2 2
0 2 3
2 0 2
2 2 3
2 1 0
0 2 2
1 1 1
3 1 1
0 3 0
2 3 3
10 3
2 1 0
2 0 1
1 2 1
0 2 0
1 1 1
1 2 0
0 0 0
1 2 2
0 0 1
2 0 2
10 4
2 3 1
2 2 1
3 3 1
1 2 2
3 3 0
0 0 2
0 1 0
0 0 3
0 2 2
0 0 0
10 7
2 1 1
0 0 0
1 3 2
3 3 1
3 0 0
1 3 1
1 0 1
1 1 0
2 2 2
3 3 0
10 5
2 0 2
3 0 1
0 2 3
2 2 1
0 2 1
0 3 2
2 1 1
3 0 2
0 3 1
2 3 2
10 8
0 0 2
0 0 1
0 1 0
1 1 1
2 2 2
1 0 1
2 0 1
2 1 2
1 2 2
1 0 0
10 3
3 1 2
0 1 0
1 3 3
2 1 1
3 1 1
2 1 3
3 0 2
3 2 3
3 0 3
1 2 2
10 4
3 2 3
3 1 2
2 0 0
0 3 1
0 1 0
1 2 0
1 2 2
2 1 3
0 3 0
1 3 3
10 2
2 2 1
2 1 1
2 3 3
2 0 1
0 2 1
1 2 0
3 0 1
1 1 2
2 2 0
3 3 1
10 7
1 3 3
3 0 0
1 0 1
2 0 2
3 2 1
2 2 3
0 0 2
2 0 3
2 1 2
3 3 0
10 5
2 0 1
2 2 0
1 2 2
0 0 0
1 1 0
2 1 0
2 1 2
1 0 1
1 1 2
0 2 1
10 3
1 1 2
0 1 0
2 2 0
1 0 2
0 2 0
1 2 1
2 1 2
2 0 2
1 2 0
1 2 2
10 4
1 2 0
1 1 0
1 0 2
0 0 2
0 1 2
0 1 0
2 0 0
1 1 2
2 2 1
2 0 1
10 7
3 2 1
2 2 0
0 3 0
1 0 3
1 3 3
0 1 2
3 0 2
2 3 0
3 1 0
2 1 3
10 5
0 2 1
2 1 2
0 1 0
0 1 2
2 0 1
2 2 0
1 1 2
1 0 1
1 1 0
2 0 0
10 9
1 1 0
2 0 1
2 1 0
1 0 0
0 1 0
0 0 2
2 0 2
2 2 0
2 2 1
1 2 1
10 6
1 1 3
1 3 1
1 2 3
0 0 3
0 0 0
1 1 0
1 3 2
3 0 1
2 3 1
2 2 2
10 9
1 1 3
3 3 3
3 3 1
2 0 1
2 3 2
0 3 3
2 1 2
0 0 2
2 1 1
2 2 2
10 4
0 2 2
2 1 0
2 1 3
1 3 2
3 3 2
1 3 0
2 3 3
0 1 1
1 1 3
3 2 0
10 5
1 2 2
0 0 3
1 2 0
2 0 3
0 3 2
2 0 1
1 0 3
1 3 1
2 3 3
1 2 1
10 6
1 2 1
0 1 2
0 2 1
1 0 1
1 0 0
1 1 2
2 2 2
1 2 0
0 2 0
0 1 0
10 6
1 3 1
3 3 3
1 2 3
0 1 1
3 2 3
0 2 3
2 1 3
0 0 0
3 0 1
2 2 1
10 5
1 1 0
1 2 0
2 1 3
2 2 3
3 1 1
3 2 0
0 0 1
3 0 2
0 0 3
0 2 3
10 3
0 2 2
0 1 0
2 2 0
3 2 2
0 2 0
2 1 3
0 0 0
3 3 2
2 3 1
1 1 1
10 8
3 1 3
1 0 3
3 0 0
1 2 0
2 3 3
3 0 1
3 3 2
1 3 1
1 1 1
2 1 0
10 8
0 2 1
2 2 1
2 1 2
2 2 0
1 0 0
1 0 1
2 0 0
0 0 1
1 1 0
1 2 0
10 6
0 1 0
1 0 0
2 1 1
0 0 2
0 1 2
2 0 0
2 2 1
1 0 2
1 2 1
0 0 1
10 9
1 0 2
2 1 2
2 2 1
0 2 2
1 0 0
2 0 2
1 1 1
2 2 2
0 0 2
1 1 0
10 3
0 1 2
1 0 1
2 2 0
1 2 1
2 1 0
2 2 1
0 2 2
2 1 2
0 0 2
2 2 2
10 4
0 2 3
2 0 0
3 2 0
1 0 0
0 2 2
1 0 1
3 2 2
1 2 3
0 3 0
3 2 3
10 4
2 0 0
1 1 2
0 2 2
1 0 2
0 0 2
1 1 0
1 2 0
1 0 1
2 2 0
0 0 0
10 3
1 2 1
1 0 2
0 2 2
2 1 1
0 0 0
2 1 0
0 1 0
0 2 1
1 2 2
1 2 0
10 3
0 0 0
1 1 2
0 2 0
1 2 0
2 1 2
1 2 1
1 0 0
0 1 1
0 2 2
1 0 2
10 6
2 0 1
0 3 1
0 3 3
0 1 0
1 2 2
1 1 1
1 1 0
1 3 1
0 1 1
3 0 3
10 2
1 0 2
1 2 1
0 0 0
1 2 2
1 2 0
1 1 0
0 0 2
1 0 1
2 1 0
1 1 1
10 9
0 2 2
0 2 1
1 1 3
3 2 2
0 3 3
3 3 3
2 3 0
0 2 0
3 2 3
2 2 2
10 5
3 3 2
3 3 1
3 2 0
2 0 2
2 2 1
0 2 3
3 1 0
0 3 2
2 3 1
1 1 3
10 7
1 0 1
2 0 2
0 1 2
0 2 1
2 2 1
0 0 2
1 1 0
0 1 1
0 1 0
1 0 2
10 8
1 0 1
2 2 0
0 1 2
2 0 0
2 1 2
0 1 0
0 2 1
1 2 0
0 0 2
1 1 0
10 6
3 0 1
3 3 0
0 3 0
2 0 2
2 3 2
0 3 2
0 0 2
2 2 0
3 1 1
2 0 0
10 5
1 2 1
1 0 2
0 0 2
2 2 1
2 0 2
1 1 1
1 0 0
0 1 1
1 1 0
2 1 1
10 5
2 1 2
3 1 1
3 0 0
2 0 2
1 0 2
2 1 1
2 2 2
2 0 1
3 2 1
1 3 2
10 3
3 2 0
0 1 2
1 2 3
3 1 1
2 2 0
0 0 2
3 3 3
2 2 3
2 1 1
1 0 2
10 7
2 0 1
2 3 1
2 3 2
1 2 3
1 1 0
0 2 1
0 1 3
2 1 1
1 2 0
1 3 3
10 8
0 1 0
2 2 3
2 0 1
2 3 0
3 1 1
2 1 1
0 2 2
2 3 2
2 0 0
1 1 0
10 7
0 2 2
1 2 1
1 1 0
0 0 1
1 0 1
1 0 0
2 1 1
1 2 0
2 0 2
0 0 2
10 4
0 2 0
3 1 2
3 3 0
1 0 0
3 0 0
2 1 2
1 3 0
2 1 3
0 3 1
2 3 1
10 2
3 0 1
0 0 3
2 1 2
3 3 3
2 0 1
2 3 0
0 3 2
3 2 1
2 0 3
0 1 2
10 2
0 1 1
1 2 0
2 0 2
1 1 2
2 2 0
0 2 0
0 1 0
2 0 0
2 1 1
1 0 2
10 7
3 0 0
1 0 3
3 1 1
1 1 2
0 0 3
3 2 1
2 1 3
0 3 2
0 1 1
1 0 1
10 7
0 0 0
2 0 0
0 2 2
1 0 0
1 1 0
0 0 2
1 2 2
1 0 1
0 2 0
0 0 1
10 3
1 0 0
1 3 1
1 1 0
3 1 3
0 2 3
1 0 1
2 2 0
1 2 1
3 0 2
3 0 0
10 6
0 2 2
2 1 2
0 1 2
3 2 2
0 0 0
0 0 2
0 1 0
0 3 2
1 0 0
2 1 3
10 2
3 1 1
2 2 0
0 1 2
1 2 1
2 0 3
2 0 2
3 0 0
1 3 3
1 1 0
1 0 3
10 4
1 1 2
1 2 1
1 2 2
2 0 2
2 0 0
0 1 0
1 0 0
0 0 1
1 1 0
1 0 1
10 8
3 3 1
2 0 3
0 2 0
2 3 0
3 3 3
1 1 0
2 0 1
3 1 1
0 2 2
3 1 0
10 9
1 0 3
0 3 2
0 0 0
3 3 1
1 0 1
2 0 1
3 0 0
2 1 0
3 1 3
1 1 3
10 7
1 1 1
2 1 0
0 0 0
1 2 0
0 2 0
1 0 0
0 2 2
2 2 0
1 1 0
2 1 1
10 2
1 2 0
0 2 0
0 1 2
0 1 1
1 0 0
2 1 2
2 0 1
0 0 2
1 0 2
0 0 1
10 3
0 3 1
0 1 0
1 1 3
0 2 3
2 1 1
0 2 0
3 2 3
1 2 1
0 3 3
3 0 2
10 7
1 0 0
1 1 1
2 2 0
2 1 0
1 0 1
2 1 1
0 2 1
1 1 0
2 2 2
2 0 1
10 9
1 0 2
1 2 2
0 0 1
1 2 1
2 1 0
2 0 2
2 2 0
0 1 1
0 0 0
1 2 0
10 8
1 1 2
0 0 1
1 0 2
2 1 2
2 0 1
0 2 2
0 0 2
2 1 0
0 1 1
0 1 0
10 9
3 0 3
3 2 0
3 0 1
2 1 0
2 2 1
1 3 3
0 1 3
1 0 0
2 0 0
3 1 0
10 9
2 1 1
2 2 2
1 2 1
2 0 1
1 2 0
0 1 0
0 0 2
2 1 0
1 1 1
0 2 2
10 5
0 0 3
1 3 1
2 3 1
1 2 3
2 2 0
0 1 0
2 2 1
3 2 0
2 3 0
1 3 0
10 2
0 0 2
0 1 1
1 1 0
0 1 0
1 2 2
1 2 1
1 1 1
0 2 0
0 2 2
1 0 1
10 3
2 1 0
2 1 1
2 0 0
1 2 0
1 0 1
2 2 0
1 1 2
2 0 2
0 2 1
0 1 0
10 6
3 3 3
2 0 3
2 1 0
2 3 0
3 3 2
1 2 3
1 1 0
3 2 3
1 3 2
3 3 0
10 5
0 1 0
1 0 2
2 2 1
0 2 0
1 1 2
0 1 1
0 0 1
1 2 0
0 0 0
1 0 0
10 3
2 2 1
1 2 2
0 2 0
3 0 0
1 1 2
2 1 2
0 1 2
3 1 2
2 3 1
3 2 2
10 2
1 2 0
0 1 2
0 1 1
2 1 0
0 0 0
2 1 2
2 2 2
2 0 0
1 1 0
2 2 1
10 4
0 0 3
3 1 3
3 3 2
2 1 2
3 0 2
0 3 3
2 1 3
0 2 0
1 3 0
0 1 3
10 6
0 1 1
0 1 2
1 3 1
0 0 3
2 2 0
2 2 1
3 2 2
0 2 1
3 3 2
1 0 2
10 6
2 1 2
0 2 1
0 1 0
0 0 0
2 2 1
2 0 2
1 0 2
1 2 2
1 1 0
0 1 1
10 9
0 2 1
3 2 3
2 1 2
2 1 1
2 2 1
0 2 0
1 3 3
3 1 1
2 3 0
1 3 1
10 8
2 0 1
0 0 3
0 1 0
2 3 2
1 0 3
2 3 1
0 3 3
2 1 1
2 2 0
1 3 0
10 3
1 1 1
0 0 0
0 1 0
2 0 1
2 1 0
2 1 1
2 2 2
1 0 1
2 0 2
0 0 2
10 8
2 2 0
2 0 1
1 2 0
1 2 1
2 2 2
2 0 0
2 1 2
1 0 2
0 0 1
0 2 2
10 6
0 1 1
1 2 2
0 2 2
0 1 0
2 0 1
2 2 2
1 0 2
0 0 0
0 2 0
2 1 0
10 6
1 1 2
0 1 0
2 0 2
1 2 2
2 2 2
1 2 1
0 2 1
0 1 2
1 1 1
0 0 1
10 6
1 3 1
2 1 1
3 3 3
3 2 0
3 0 0
2 1 3
3 3 1
3 1 1
3 1 2
3 2 3
10 4
3 2 0
1 3 3
0 2 1
2 0 3
0 2 3
0 0 1
2 1 1
1 2 1
2 1 2
0 2 2
10 2
0 1 0
2 2 1
1 0 0
0 1 1
0 2 0
1 2 0
2 2 2
0 1 2
0 2 1
2 0 1
10 6
1 1 2
1 2 0
1 0 1
1 0 2
2 2 0
0 2 0
0 1 0
0 0 2
0 0 1
0 2 2
10 2
1 1 2
2 1 1
2 2 0
1 0 0
0 1 1
1 2 0
2 0 0
1 1 1
2 0 2
0 1 0
10 9
3 0 3
3 1 3
2 1 2
0 1 0
1 2 2
2 2 3
2 3 0
2 2 2
2 3 1
1 0 0
10 2
3 2 3
2 3 2
2 2 1
2 0 3
3 1 3
2 2 2
0 1 2
1 3 0
0 2 3
3 1 2
10 7
2 1 2
1 2 1
0 2 1
1 2 2
2 2 0
1 2 0
2 0 1
1 0 1
0 0 0
0 0 2
10 2
0 0 2
0 1 0
2 2 1
1 0 0
2 2 0
1 0 2
0 2 1
2 0 0
2 1 2
1 1 1
10 7
0 2 2
0 2 0
1 1 0
1 0 0
2 2 0
0 0 1
0 2 1
1 1 2
2 2 2
0 0 0
10 9
0 1 2
1 2 0
1 1 2
1 1 0
1 0 2
1 0 1
0 0 2
2 1 0
2 2 1
1 2 1
10 2
2 0 1
0 2 2
1 2 0
0 0 0
1 1 1
1 2 2
1 0 1
0 2 1
2 0 2
0 1 1
10 2
1 2 2
0 2 1
1 1 0
2 0 1
2 0 0
1 2 1
1 0 2
0 1 0
0 0 1
1 0 1
10 5
1 0 2
1 0 1
2 0 1
0 0 0
0 2 0
2 2 0
2 1 1
0 2 2
0 2 1
0 1 1
10 3
2 0 2
1 0 2
2 1 0
0 1 0
2 0 1
1 2 1
1 0 0
1 1 1
1 1 0
0 1 2
10 9
2 3 3
0 3 3
3 1 2
3 3 1
2 0 2
0 1 3
1 3 3
1 1 3
3 0 3
3 0 2
10 5
1 2 0
0 0 0
0 0 2
0 1 0
0 1 2
2 2 1
0 2 1
2 0 2
1 1 2
1 1 1
10 3
1 1 1
1 2 0
2 2 2
0 1 2
1 1 0
0 0 1
1 1 2
0 0 2
2 0 1
2 1 0
10 8
2 1 3
0 0 1
2 2 1
3 0 0
0 1 1
1 3 1
0 3 2
2 3 1
1 3 0
3 1 1
10 2
2 1 3
1 3 3
1 2 1
3 0 1
2 0 0
3 3 1
2 1 1
3 2 1
2 2 3
2 1 2
10 5
3 3 3
0 1 0
0 0 2
2 0 1
0 2 1
2 3 3
3 2 1
1 0 1
0 3 3
0 2 2
10 8
1 2 1
3 0 2
2 2 2
2 1 2
0 1 2
2 3 3
0 1 0
3 3 1
1 0 1
3 0 1
10 3
2 1 1
0 0 0
1 0 0
2 2 1
1 0 2
1 1 2
0 0 1
1 1 0
1 2 0
0 2 1
10 6
1 0 0
2 0 0
2 1 2
0 1 1
1 0 2
2 2 0
2 1 1
1 2 0
2 0 1
1 1 0
10 7
2 0 2
0 1 2
0 0 2
0 2 2
2 1 2
1 1 1
2 2 0
1 1 0
0 2 0
1 2 2
10 2
0 1 0
0 0 2
3 3 0
0 3 3
1 3 3
0 2 2
0 2 3
2 3 1
1 3 2
2 3 2
10 4
3 3 0
3 2 1
0 0 3
1 2 1
2 0 3
1 1 3
0 3 0
1 0 1
2 2 0
3 2 0
10 9
2 1 0
0 0 0
1 0 1
0 0 1
2 0 0
1 1 1
2 2 1
1 1 0
1 2 1
0 0 2
10 5
1 0 2
0 1 0
1 0 1
2 2 0
1 1 0
2 2 1
2 1 2
2 1 1
1 2 0
2 0 2
10 2
2 1 2
1 2 1
1 1 1
0 0 2
0 1 2
1 0 1
1 0 2
0 2 1
1 0 0
2 1 1
10 4
3 2 3
0 1 1
1 2 0
1 2 2
1 1 0
2 2 0
1 3 0
1 3 1
0 0 1
2 2 3
10 8
1 1 3
1 3 0
0 2 1
3 3 1
2 3 0
1 2 1
3 0 0
3 0 2
2 1 0
2 0 3
10 3
2 1 0
2 2 1
2 0 1
2 1 1
2 1 2
2 0 2
0 0 2
1 1 1
1 0 1
2 2 2
10 4
1 0 2
0 1 1
2 0 0
0 1 2
1 0 0
2 2 0
0 1 0
0 0 0
1 2 1
2 1 2
10 9
2 0 0
1 1 2
1 1 1
0 1 0
1 1 0
2 0 1
2 2 1
2 1 0
2 1 2
0 0 0
10 8
1 2 0
3 0 1
3 3 0
0 3 0
1 0 0
1 0 3
2 3 0
1 2 3
2 3 1
2 0 0
10 9
0 2 0
2 0 1
1 2 0
2 1 0
1 2 1
1 2 2
1 1 0
1 0 1
0 1 0
1 1 1
10 3
0 3 1
2 3 3
3 3 3
0 0 2
0 0 1
2 0 3
3 1 2
2 1 3
0 1 0
3 0 1
10 4
3 2 1
2 2 3
3 1 3
0 3 3
2 1 3
1 0 2
2 3 2
0 2 0
1 1 3
0 1 2
10 9
1 2 2
1 1 2
2 2 2
1 2 1
1 0 2
1 0 1
2 2 0
1 1 1
2 0 1
2 1 0
10 6
1 3 1
3 1 1
0 0 1
1 2 1
3 0 1
1 3 2
3 2 2
1 2 2
2 1 0
0 1 1
10 5
0 2 1
0 2 0
1 2 0
2 0 2
1 0 1
0 1 2
2 2 2
1 1 1
1 1 2
1 0 0
10 9
3 3 2
3 0 3
0 1 3
0 0 2
0 2 3
2 2 2
2 2 1
3 3 1
3 0 1
3 2 3
10 5
0 2 2
0 2 1
2 1 2
2 2 0
2 0 1
1 1 0
1 0 0
0 1 2
2 2 1
0 0 0
10 4
2 0 0
0 1 1
1 2 0
0 2 0
0 0 0
1 2 2
2 1 1
1 0 1
1 0 2
1 1 2
10 9
1 0 0
2 0 1
2 1 2
0 1 0
1 2 2
0 2 1
2 0 2
1 0 2
2 2 1
1 1 0
10 9
1 0 1
2 3 2
2 1 2
3 2 0
1 0 0
3 1 3
1 2 3
1 3 3
0 3 1
1 0 2
10 6
2 1 0
1 0 1
1 3 3
0 3 2
0 1 1
2 1 3
2 0 0
0 0 1
1 2 0
3 2 0
10 8
2 2 0
1 2 2
1 0 0
2 0 1
0 1 2
1 0 1
0 1 0
2 1 0
1 1 1
0 1 1
10 5
2 1 2
3 0 1
3 2 1
2 0 1
2 1 0
2 2 2
0 0 2
0 3 0
1 2 0
0 3 3
10 2
3 0 0
3 0 2
3 1 1
3 1 3
3 1 2
0 3 3
0 3 2
2 3 2
1 1 2
0 1 2
10 6
0 3 3
0 0 1
1 2 0
2 0 1
2 0 2
1 3 0
3 2 0
0 1 3
1 3 3
1 0 1
10 2
0 1 0
1 1 0
3 1 3
2 3 1
1 0 2
3 1 0
2 2 2
1 2 0
1 3 3
2 1 2
10 7
0 3 1
2 2 2
0 3 2
0 0 1
3 0 3
3 1 2
1 0 0
0 2 1
3 3 2
1 2 0
10 7
3 1 1
2 2 3
1 3 1
0 0 0
1 2 1
2 0 1
0 2 2
3 1 3
0 2 0
3 0 2
10 5
0 1 0
1 3 0
1 2 0
2 3 3
2 1 1
0 2 1
1 0 3
2 3 0
1 0 1
3 2 1
10 8
1 2 0
2 2 1
2 1 0
2 2 0
1 2 1
1 1 2
0 2 1
0 2 2
2 0 1
1 1 1
10 2
0 1 3
0 3 3
1 1 1
0 0 3
3 3 1
2 1 0
1 1 3
1 2 3
2 0 2
0 3 0
10 7
1 3 0
0 1 2
1 2 1
1 2 3
2 3 3
0 2 3
0 3 3
0 0 2
1 1 3
2 1 1
10 2
2 2 0
1 0 2
0 1 1
2 0 1
2 2 2
1 2 2
2 1 1
0 1 0
1 1 1
0 0 1
10 6
1 1 2
0 1 0
0 0 1
2 2 1
2 1 2
0 2 0
1 2 1
0 0 2
0 2 1
1 0 2
10 5
0 1 2
1 2 1
2 2 1
1 2 2
1 0 2
1 1 1
2 0 2
2 2 2
0 2 2
2 1 1
10 4
2 0 1
2 0 2
1 2 2
0 2 0
1 1 2
1 2 0
0 0 1
1 0 0
1 1 0
2 1 0
10 5
1 3 2
3 2 2
0 2 3
3 2 3
2 3 3
3 3 0
1 3 1
0 0 1
0 3 1
0 0 0
10 2
2 2 2
0 2 3
0 2 2
3 1 2
0 3 1
2 2 1
0 3 0
2 2 0
1 2 2
0 1 3
10 3
1 2 1
2 0 2
2 1 2
2 1 1
0 2 0
2 0 1
1 1 2
0 1 1
1 1 1
0 0 2
10 4
1 3 2
2 1 0
0 3 3
1 1 2
0 0 0
0 0 3
1 1 0
1 2 3
0 1 0
2 0 2
10 2
0 2 2
0 0 0
1 0 0
2 1 2
1 1 2
1 2 1
2 0 0
0 1 1
2 1 0
0 0 2
10 8
3 3 0
3 2 2
3 0 1
0 3 3
1 2 3
2 3 0
1 0 3
1 0 2
2 1 2
2 0 3
10 5
3 0 0
3 3 3
0 1 2
0 3 2
2 1 3
2 2 2
0 3 3
3 3 0
1 1 0
0 1 3
10 5
2 0 1
0 1 1
1 0 0
1 2 2
3 3 1
2 1 3
3 1 3
0 2 2
0 0 3
0 2 1
10 3
2 0 0
0 3 2
3 3 1
0 3 0
3 3 0
2 2 1
1 1 3
1 1 1
1 0 2
0 2 2
10 9
0 2 1
0 2 0
1 0 0
2 1 1
2 0 2
0 0 1
1 1 1
1 0 2
2 1 2
1 1 0
10 6
0 2 2
1 2 0
3 0 2
1 3 3
3 3 1
1 2 3
0 0 0
1 1 2
1 3 0
0 0 1
10 4
0 3 1
1 2 1
2 3 3
3 0 3
2 0 3
3 0 2
2 2 3
3 2 1
1 0 2
0 1 0
10 7
0 0 1
2 1 0
2 2 0
1 1 2
1 1 0
0 1 1
1 2 2
1 0 1
0 1 0
2 0 2
10 5
3 0 2
0 1 2
2 2 2
1 2 0
1 1 1
0 3 0
3 3 2
1 0 2
0 1 3
1 3 3
10 6
1 1 0
2 1 2
0 2 0
0 2 1
1 0 1
1 1 2
2 0 0
1 1 1
2 1 1
0 1 2
10 9
2 2 2
1 2 2
2 1 1
0 0 0
0 1 1
2 0 1
0 2 1
2 0 2
0 2 0
1 1 0
10 8
2 1 0
1 0 0
0 1 0
0 0 2
1 0 2
0 2 1
2 0 0
2 1 1
2 2 2
2 1 2
10 2
2 0 2
1 0 0
1 2 2
2 0 1
0 0 1
0 0 0
2 1 0
1 1 2
2 2 0
1 0 2
10 6
1 2 2
2 2 0
0 2 1
2 2 2
2 0 2
1 0 0
0 2 2
2 0 0
0 1 2
0 1 1
10 3
1 0 2
0 1 1
0 0 1
1 1 0
2 0 0
1 2 0
0 2 0
2 1 0
2 1 2
2 2 2
10 9
1 0 2
2 3 1
0 1 0
1 0 1
0 0 1
3 0 2
0 2 1
3 3 0
2 3 0
3 1 1
10 2
0 2 1
1 0 1
0 1 1
0 2 0
0 1 2
1 2 0
2 0 0
0 2 2
2 1 1
2 2 1
10 7
1 1 0
2 1 2
2 1 1
2 2 0
0 0 0
2 0 2
0 1 2
0 1 1
1 2 1
1 2 2
10 5
1 1 0
0 2 2
2 1 1
1 2 1
2 0 2
1 0 1
2 1 0
2 1 2
1 0 0
1 0 2
10 4
2 1 2
0 2 2
1 1 1
0 0 1
0 2 0
1 2 2
0 0 2
2 0 2
1 0 2
1 0 0
10 7
0 1 0
0 0 2
0 1 1
0 2 2
2 1 2
2 2 2
2 1 1
0 2 1
1 0 2
2 0 0
10 2
2 0 1
3 3 0
0 2 2
2 3 0
0 1 2
1 0 2
0 1 1
2 1 0
0 2 1
2 2 0
10 4
3 3 3
1 1 2
0 1 3
3 3 0
2 3 2
1 3 2
1 1 0
3 0 3
1 1 3
2 1 0
10 6
2 1 1
3 2 3
2 0 0
3 1 1
3 0 2
3 3 0
3 2 1
1 3 3
1 0 3
2 1 2
10 8
0 2 2
1 2 0
0 2 0
1 1 0
2 0 1
1 2 2
1 0 0
2 2 0
2 0 0
0 0 0
10 4
0 0 0
0 1 2
2 2 0
2 3 3
3 0 3
2 3 0
1 0 1
2 1 3
2 2 3
0 1 0
10 3
2 3 2
1 0 3
1 3 1
0 0 3
2 2 3
3 1 2
3 2 1
3 1 1
1 3 2
3 1 3
10 2
0 2 0
1 0 0
2 2 2
1 0 2
2 2 0
0 0 1
1 1 0
0 2 2
0 2 1
1 0 1
10 2
0 1 2
0 2 2
1 1 0
0 0 2
2 1 1
0 0 0
1 1 2
0 1 1
1 0 0
1 0 2
10 6
1 1 1
1 2 2
1 0 2
2 2 1
0 1 1
1 1 0
2 2 2
0 2 1
0 0 0
2 0 2
10 6
1 3 3
0 0 2
3 3 2
1 1 2
2 1 1
0 3 1
2 3 3
0 3 3
0 2 0
2 3 1
10 6
1 2 1
1 0 1
2 1 0
0 0 1
2 2 0
2 1 2
1 2 0
2 2 2
2 0 2
0 1 1
10 6
2 3 3
1 1 3
1 0 1
1 2 3
3 0 2
2 2 3
2 3 1
3 2 2
3 2 0
1 2 2
10 8
1 0 1
3 2 2
1 2 2
3 1 2
3 0 2
1 2 1
1 0 2
0 3 1
2 2 1
3 3 3
10 8
2 1 1
3 1 3
3 0 2
1 0 1
1 0 3
0 2 3
3 1 1
3 0 0
0 0 3
1 1 0
10 5
2 2 0
0 2 0
1 2 1
1 3 0
2 1 1
1 3 2
0 3 0
0 0 1
1 1 3
0 2 1
10 6
3 3 2
0 3 2
1 2 1
0 1 0
1 3 2
3 1 0
1 0 3
0 2 2
0 0 0
2 0 0
10 7
1 0 3
2 2 3
1 2 1
0 3 2
0 3 0
2 3 3
1 3 1
2 0 3
0 0 1
0 1 3
10 7
3 3 1
0 2 1
1 0 0
1 1 3
1 3 1
2 0 1
3 0 3
0 3 2
0 1 0
2 1 0
10 3
1 2 2
0 1 2
0 0 1
0 2 1
2 0 1
1 0 1
2 0 0
0 0 0
0 2 2
1 2 1
10 2
2 3 0
1 3 3
1 3 1
2 3 3
2 1 0
1 0 1
3 2 2
2 1 2
3 0 2
2 0 2
10 6
1 0 1
0 0 2
0 1 2
0 2 0
0 2 1
0 0 0
1 1 2
1 2 0
2 0 0
2 1 2
10 9
2 2 3
1 2 2
2 3 0
1 3 1
1 1 3
0 3 3
3 1 2
2 3 3
0 3 0
1 1 0
10 5
0 2 1
2 0 2
2 1 0
1 1 0
1 1 2
2 2 2
2 1 2
0 1 1
0 2 0
2 0 1
10 8
1 1 2
1 0 1
1 2 0
1 2 1
2 0 2
2 1 2
0 0 0
0 2 0
2 1 1
2 2 1
10 5
1 2 1
2 1 0
2 0 1
2 2 1
0 2 0
1 0 0
2 2 2
0 0 1
0 1 0
0 0 2
10 6
1 2 1
2 3 2
1 2 3
0 1 1
3 2 3
0 1 3
2 1 2
2 1 1
1 2 0
1 3 2
10 4
0 1 1
2 2 1
2 2 0
1 0 2
1 1 2
1 1 0
1 2 1
2 1 1
2 0 2
0 0 0
10 3
1 2 1
2 2 0
0 2 2
2 1 2
1 1 0
1 1 1
0 0 2
1 1 2
2 0 0
1 0 0
10 6
2 2 2
0 0 1
1 2 2
0 1 0
1 1 1
2 2 1
1 1 0
2 2 0
0 0 2
0 0 0
10 7
1 0 0
2 0 0
1 0 2
0 2 0
1 1 1
0 2 1
0 0 1
2 1 0
1 1 2
0 1 1
10 5
1 2 0
2 0 1
2 0 2
0 1 1
1 1 0
0 2 1
0 2 2
1 0 2
1 0 0
2 1 1
10 8
3 2 2
2 3 1
0 1 2
1 3 2
2 2 3
0 1 1
3 1 3
0 1 0
3 1 0
0 2 3
10 6
2 3 2
3 3 1
0 0 3
0 0 2
3 0 2
1 2 1
1 1 0
2 0 2
2 1 1
3 1 2
10 2
2 0 1
2 3 3
0 0 1
3 2 0
1 3 3
0 1 1
1 1 0
0 3 2
0 2 1
2 1 3
10 3
0 1 0
2 0 0
2 0 2
0 0 0
2 1 2
1 1 0
1 1 2
0 1 1
2 2 2
2 2 0
10 4
0 2 1
0 1 2
1 2 0
0 0 0
3 2 1
1 2 2
2 0 0
2 1 0
3 0 2
2 2 1
10 6
3 1 1
0 0 2
2 3 0
0 2 2
0 1 2
3 0 0
3 1 0
1 1 0
1 3 1
0 3 2
10 8
2 1 0
1 0 2
0 1 2
2 1 2
2 2 0
2 0 2
1 0 1
1 2 1
0 0 1
2 0 0
10 6
3 1 2
2 3 2
2 0 1
3 1 3
3 0 1
2 1 1
0 2 2
1 3 0
2 3 3
2 2 3
10 8
1 1 1
1 2 1
0 2 1
1 1 0
0 1 2
2 2 2
1 1 2
1 0 1
2 0 2
0 0 2
10 2
0 1 3
3 3 0
2 0 2
1 0 3
1 2 3
0 2 0
1 3 0
0 0 2
3 2 0
1 3 3
10 2
1 3 0
1 2 3
3 2 2
1 3 1
2 0 2
0 1 0
3 1 3
1 3 3
1 1 0
3 3 0
10 5
0 2 1
0 0 2
1 0 2
1 1 0
2 2 0
0 2 0
1 2 1
2 1 2
2 2 2
2 0 1
10 9
0 0 1
2 0 1
1 3 3
0 1 0
3 1 3
1 2 3
0 3 2
1 0 2
0 0 2
0 3 3
10 8
2 1 2
1 0 0
0 0 2
2 1 1
1 1 2
0 2 1
1 0 1
2 1 0
2 2 2
0 0 1
10 8
0 1 0
0 3 1
3 2 3
2 2 2
3 0 3
3 3 3
2 0 3
2 2 3
1 2 1
1 1 3
10 8
0 0 1
0 2 0
0 2 2
1 2 0
1 1 2
1 0 1
1 1 1
2 1 2
2 0 2
1 2 1
10 8
3 2 3
0 3 0
3 0 3
2 1 2
1 2 2
1 0 3
0 3 3
0 0 1
2 3 0
0 0 2
10 2
1 0 0
2 0 0
2 1 2
2 2 2
0 0 1
0 2 0
2 1 0
2 0 2
0 1 0
1 2 2
10 8
2 3 3
2 1 0
0 2 3
0 3 3
2 0 0
1 3 1
3 3 3
1 2 2
2 0 1
2 2 3
10 3
0 2 1
2 0 2
1 1 1
1 0 0
1 2 0
0 2 0
2 1 2
1 0 1
0 2 2
2 1 0
10 2
3 0 3
1 0 2
2 2 1
2 3 1
1 0 0
0 0 2
1 1 1
2 0 2
0 1 1
0 3 0
10 8
2 1 2
3 3 3
2 0 3
2 3 0
0 0 2
2 0 1
1 0 2
2 1 0
1 1 2
0 3 3
10 7
2 0 1
1 1 1
1 0 0
2 2 2
0 0 0
1 0 1
2 0 2
1 0 2
2 2 0
0 1 2
10 9
3 1 0
2 3 1
0 1 3
2 1 0
2 1 1
1 3 0
3 0 0
1 1 3
2 0 3
3 2 1
10 3
0 2 2
2 1 1
0 1 1
2 1 2
0 1 0
1 0 2
2 2 0
2 2 2
1 1 0
1 0 0
10 6
0 1 2
2 0 2
2 1 2
1 1 2
2 2 1
0 0 2
0 0 0
0 2 0
0 2 1
2 1 0
10 3
2 0 2
2 1 1
0 0 2
2 1 2
0 0 1
0 2 2
2 2 2
0 1 0
0 2 0
1 2 2
10 9
1 1 1
0 2 1
2 1 2
1 2 2
2 2 3
0 2 3
1 1 3
3 2 2
0 1 0
3 0 3
10 2
3 3 0
1 1 2
2 2 1
2 2 3
0 2 0
1 3 2
3 2 3
0 2 1
1 3 0
0 2 3
10 8
1 1 2
2 1 0
2 3 2
2 3 1
0 1 0
0 0 3
0 2 3
2 2 0
1 0 1
2 0 0
10 2
3 3 0
0 1 2
2 3 1
1 2 1
0 3 1
0 2 2
0 1 3
1 3 1
1 1 3
2 1 2
10 5
1 1 3
2 2 0
0 3 3
1 3 0
1 3 2
3 1 3
2 1 3
3 1 1
3 0 1
3 3 2
10 3
1 0 3
0 0 2
3 0 1
2 1 1
3 2 0
1 2 2
3 0 0
2 1 0
1 0 0
0 0 0
10 8
2 3 3
2 3 0
1 1 3
3 1 1
0 0 2
0 3 1
1 3 3
1 3 2
3 1 3
2 0 2
10 4
0 0 1
1 0 2
1 1 2
2 0 0
1 2 2
0 1 2
2 1 0
0 1 1
0 1 0
2 2 1
10 2
2 1 2
1 1 1
2 0 2
0 1 2
2 2 2
2 1 1
0 2 0
2 0 1
1 0 1
0 1 1
10 5
1 3 0
1 0 1
0 1 0
1 1 0
2 3 3
2 2 1
0 3 2
2 3 2
3 0 3
3 1 1
10 5
2 0 1
1 0 1
2 0 3
2 1 2
2 0 0
3 1 1
2 3 3
0 2 1
0 3 1
3 2 2
10 4
2 1 1
2 0 1
1 2 0
0 0 1
2 2 1
1 2 2
2 2 2
2 1 0
1 1 0
0 0 2
10 6
1 0 1
2 2 0
1 2 2
0 1 0
1 0 2
2 1 0
0 1 1
1 1 1
1 1 0
0 2 2
10 3
1 1 2
0 1 2
3 1 3
2 2 2
3 2 1
1 2 2
3 3 1
1 0 2
2 2 1
0 1 3
10 5
2 1 3
2 0 3
2 3 2
2 1 1
2 0 1
0 3 1
1 2 2
3 2 1
3 2 3
3 2 0
10 5
1 0 2
0 2 2
1 2 2
1 1 0
1 2 1
1 0 1
2 2 1
2 2 0
1 1 2
0 0 0
10 6
1 1 2
0 1 1
0 0 3
2 3 3
1 2 1
1 0 0
3 3 1
3 3 3
3 2 0
2 2 3
10 2
0 1 2
2 1 2
0 1 0
1 2 2
1 1 1
1 1 0
1 0 2
2 1 1
0 1 1
1 0 1
10 5
0 3 2
1 1 0
0 1 0
3 3 2
3 0 2
3 3 0
0 3 0
0 3 1
0 2 2
2 2 2
10 2
2 2 0
3 0 3
3 3 1
0 2 2
3 1 3
0 2 1
2 3 3
0 3 1
1 0 0
2 3 1
10 3
2 0 2
1 2 2
0 0 0
0 1 1
0 0 2
0 1 2
0 2 0
2 0 0
1 0 0
1 2 0
10 7
2 0 2
2 1 2
2 1 0
2 1 1
1 1 2
1 0 2
1 2 0
0 1 1
0 2 1
0 0 2
10 5
1 2 1
1 0 2
0 3 3
0 1 3
1 3 0
1 3 1
0 3 2
2 2 2
2 3 1
3 1 0
10 9
0 1 2
3 3 2
1 3 2
2 2 0
3 1 0
3 2 3
0 2 1
1 1 2
1 1 3
2 0 2
10 5
2 1 1
1 0 2
2 2 1
1 2 1
1 0 0
2 2 0
2 2 2
1 1 0
1 2 0
1 2 2
10 6
3 1 0
1 2 3
0 0 0
0 2 1
3 3 3
3 2 2
2 0 2
0 2 2
2 3 3
3 3 0
10 6
2 3 1
3 3 2
2 2 3
1 2 2
0 1 0
1 0 3
0 2 0
0 0 1
0 0 3
0 3 2
10 9
0 0 0
2 0 0
0 1 0
0 2 0
1 2 1
1 2 2
1 1 2
0 0 2
2 2 0
1 0 2
10 9
1 0 2
0 2 0
2 1 0
2 2 2
2 2 1
1 1 1
0 0 1
0 0 2
1 0 1
2 0 2
10 8
3 2 0
2 0 1
2 2 1
1 2 1
0 3 1
0 3 3
0 3 2
0 2 0
2 3 2
2 2 0
10 3
1 2 3
2 2 1
2 2 0
2 0 3
1 2 0
0 1 0
3 2 2
1 0 2
2 3 3
2 1 0
10 9
0 0 0
0 3 2
3 1 3
2 3 1
1 2 0
3 1 0
0 3 1
3 0 2
3 3 2
0 1 2
10 3
1 1 0
0 1 1
1 2 0
1 0 1
2 0 0
0 1 0
2 0 2
1 2 1
1 0 0
0 0 1
10 8
0 1 0
2 0 0
1 0 2
1 1 1
1 2 1
1 1 0
0 0 2
2 1 1
0 2 1
2 2 1
10 7
0 1 0
1 1 1
2 0 0
0 1 2
3 1 1
2 2 1
0 3 1
1 2 0
1 2 2
0 1 3
10 5
3 1 1
2 3 3
2 0 2
1 3 0
2 3 2
0 3 3
3 3 1
0 0 2
0 0 3
2 0 1
10 4
1 2 2
0 0 2
0 0 1
2 0 1
2 2 2
2 0 0
0 2 1
0 1 2
2 2 1
0 1 0
10 7
2 2 2
1 2 1
1 1 0
1 2 0
0 2 0
2 1 1
2 1 0
2 0 0
2 2 1
2 1 2
10 7
1 2 3
0 0 2
0 2 2
2 2 1
0 3 0
3 2 3
1 2 1
1 3 1
1 3 3
1 1 1
10 8
0 3 3
1 0 1
3 0 0
3 1 3
2 2 3
2 2 0
1 0 0
3 1 1
2 0 3
2 2 1
10 5
0 2 2
0 3 0
1 3 1
2 2 2
2 2 1
2 0 3
1 0 3
1 0 2
2 1 3
2 1 1
10 9
2 1 0
0 1 1
2 2 0
1 1 1
1 0 2
1 0 1
1 2 0
2 1 1
2 0 2
1 1 2
10 2
3 1 1
2 0 0
1 1 2
1 3 3
0 2 3
1 3 1
3 2 3
3 0 0
3 0 3
1 1 0
10 4
3 0 0
3 1 2
1 2 3
2 2 1
0 3 2
1 1 3
1 1 0
3 2 3
1 0 0
2 1 0
10 7
3 0 3
3 1 2
0 3 2
0 1 0
3 2 1
2 2 0
3 3 0
2 3 0
2 1 2
2 2 2
10 6
1 3 1
2 1 3
3 3 0
3 1 2
2 2 2
2 2 1
2 3 0
1 1 0
1 3 2
3 3 3
10 4
2 2 2
0 2 1
0 0 2
1 1 1
2 1 0
2 2 1
1 2 0
2 0 0
1 1 2
0 0 1
10 7
0 1 2
0 2 0
1 1 3
3 0 0
0 3 1
1 3 1
3 3 1
1 0 2
0 3 2
1 1 0
10 3
3 2 1
2 3 3
3 0 3
1 3 3
2 2 1
0 3 3
2 1 1
3 0 1
0 1 3
1 2 2
10 2
1 0 3
2 1 1
3 3 1
3 0 2
3 1 2
1 3 0
0 0 3
1 0 0
3 2 0
3 1 0
10 4
1 3 3
3 3 3
1 1 0
2 0 3
1 2 0
2 2 1
1 3 2
1 1 3
0 2 1
0 2 2
10 8
2 1 1
2 0 0
0 0 0
1 1 0
1 2 0
0 0 1
0 2 2
2 1 0
1 2 2
2 1 2
10 3
2 0 2
3 3 0
3 1 3
1 1 3
1 2 3
3 3 1
3 2 0
3 0 3
2 3 3
3 2 3
10 5
1 1 1
1 1 0
0 2 2
3 3 2
0 1 0
1 2 3
1 3 3
0 2 1
3 0 1
2 1 0
10 8
2 0 3
1 3 3
1 0 0
0 2 0
2 3 1
1 2 0
0 3 1
0 1 0
3 1 0
3 0 3
10 4
2 0 1
1 1 1
0 2 2
0 2 0
2 1 2
2 0 2
0 2 1
1 2 1
1 1 2
2 2 2
10 9
1 2 1
1 1 2
2 0 2
1 1 1
2 0 0
0 1 0
0 2 0
2 2 0
2 1 0
2 1 1
10 9
0 1 1
1 0 0
2 1 0
0 1 0
1 2 0
2 1 1
2 0 1
0 0 0
2 0 2
1 1 0
10 2
1 0 1
0 3 2
0 2 3
3 2 0
1 1 1
0 1 1
0 3 0
1 2 2
1 0 2
0 1 0
10 5
0 0 0
1 1 2
1 0 1
1 2 2
2 0 0
1 0 2
0 2 0
2 2 0
2 2 1
2 0 2
10 8
0 0 2
0 0 1
1 2 2
0 2 1
2 2 1
2 0 1
2 2 2
2 2 0
1 1 2
0 1 1
10 7
2 2 3
0 0 1
3 0 0
1 1 2
2 1 0
0 0 0
1 2 0
0 2 2
1 0 0
1 2 2
10 9
1 1 0
2 0 1
1 1 3
0 0 0
2 3 3
2 1 2
1 1 1
2 3 2
0 3 3
3 2 0
10 4
1 2 1
3 3 3
0 0 1
2 2 0
2 0 0
2 0 2
3 0 1
0 3 1
1 0 2
1 2 2
10 9
2 1 0
0 1 0
2 1 2
2 1 1
1 2 1
0 0 1
1 0 1
0 2 0
2 0 2
1 1 0
10 7
0 2 0
3 0 2
2 1 0
1 3 2
3 3 2
0 2 1
0 3 3
0 1 1
1 1 3
1 0 2
10 2
1 1 1
0 1 0
0 1 2
2 1 0
0 0 0
2 1 2
1 0 2
1 2 2
1 1 0
0 1 1
10 9
0 0 1
0 1 0
2 0 1
1 0 2
0 0 2
1 2 0
0 2 2
1 1 1
1 2 2
2 1 1
10 4
1 2 1
3 3 1
2 0 2
0 2 1
2 1 2
0 3 0
0 1 3
1 2 3
1 3 3
3 0 0
10 4
2 0 0
0 2 0
0 3 1
0 2 1
3 0 2
2 0 3
1 1 3
0 0 2
1 1 1
2 3 0
10 3
0 0 1
1 2 1
2 0 0
1 2 2
0 2 2
2 2 1
0 0 0
2 0 2
2 1 1
2 1 2
10 7
0 1 0
2 0 0
2 1 1
1 0 2
1 0 0
2 2 1
0 0 2
0 1 1
1 1 0
0 2 1
10 5
3 2 0
3 1 2
3 1 3
3 3 1
2 0 0
2 3 2
1 2 0
0 3 3
0 0 1
2 3 3
10 4
1 2 2
1 1 1
1 0 2
2 0 1
1 2 1
0 1 2
2 1 2
0 0 2
2 0 0
2 2 0
10 7
0 0 2
3 3 1
0 0 1
3 1 2
1 0 2
0 1 1
3 0 1
2 3 0
2 1 3
2 0 3
10 8
2 2 0
1 3 0
3 0 3
2 3 2
1 3 2
3 1 0
2 1 3
3 2 2
1 2 2
2 3 3
10 2
0 1 3
3 3 0
3 0 0
2 0 3
1 1 0
1 0 0
0 2 0
2 2 0
1 1 1
3 2 1
10 7
1 3 2
0 0 1
2 2 2
1 1 1
0 1 0
3 1 3
3 1 0
1 3 0
3 3 0
2 1 0
10 6
3 2 0
3 0 3
2 2 0
3 3 1
0 1 1
2 0 3
0 2 3
3 3 2
1 2 0
2 2 1
10 5
0 1 1
2 1 1
1 3 0
3 3 2
3 1 1
0 3 2
3 2 0
1 0 3
1 0 2
0 2 3
10 9
0 1 2
1 2 0
2 0 0
1 1 0
2 2 2
0 2 2
0 0 1
0 2 0
1 2 2
2 1 1
10 2
1 1 2
2 3 0
1 1 0
3 3 3
1 3 3
0 2 1
1 1 1
0 2 0
1 0 1
1 0 3
10 6
0 3 1
2 3 2
3 1 0
0 1 3
2 2 2
0 1 0
3 3 3
1 0 1
0 3 2
3 1 3
10 2
0 0 0
0 2 1
0 0 1
2 1 0
1 2 1
0 1 0
2 0 2
2 0 1
1 0 0
1 0 2
10 6
2 1 2
2 2 0
2 0 1
0 2 0
0 2 1
0 1 2
0 0 2
1 1 2
1 0 0
0 0 1
10 9
2 1 1
1 1 0
0 2 1
1 3 3
3 2 0
2 1 2
2 1 0
3 2 2
3 0 1
3 0 3
10 3
2 3 0
1 0 2
1 1 1
0 1 1
0 0 1
2 3 3
2 2 2
0 3 0
2 1 2
2 0 2
10 3
2 0 1
0 1 2
1 0 2
2 1 0
1 1 0
2 2 1
2 1 2
1 0 0
2 0 0
0 0 2
10 3
2 0 1
2 2 1
2 0 2
0 1 1
1 2 1
1 1 1
0 0 2
2 0 0
0 2 1
0 1 2
10 8
0 3 0
3 2 2
1 2 1
0 1 3
3 3 2
3 0 3
0 0 0
2 3 2
2 3 1
1 0 1
10 7
1 3 2
1 2 3
2 2 2
0 3 3
3 0 2
3 3 0
1 1 3
1 1 0
3 3 1
2 0 0
10 2
1 3 2
3 2 0
0 2 0
0 0 3
0 1 0
3 3 1
3 1 0
0 2 3
0 0 0
2 2 3
10 3
0 1 2
2 1 2
1 2 0
0 2 1
0 2 0
1 2 2
0 0 1
0 0 0
2 2 0
2 1 1
10 6
0 0 0
1 0 0
2 1 1
0 0 2
0 1 1
2 0 2
2 1 2
1 0 2
0 1 0
0 2 0
10 6
0 3 2
1 1 3
0 1 2
2 0 0
2 2 2
2 1 0
0 0 2
2 3 0
0 3 0
2 0 1
10 2
1 2 1
1 1 0
0 0 1
2 1 1
2 1 0
0 0 2
0 2 0
1 0 0
2 2 0
0 0 0
10 7
0 3 3
2 0 2
3 3 3
1 2 3
1 0 0
1 2 0
0 2 2
0 1 0
0 3 0
3 1 0
10 4
3 0 2
2 1 3
1 2 1
2 3 0
3 1 1
2 3 1
2 1 2
3 2 2
1 3 3
2 3 2
10 2
0 2 1
1 2 1
2 2 3
2 3 1
0 0 1
1 1 0
2 2 1
0 3 3
1 0 3
2 1 3
10 4
2 1 2
1 0 0
2 1 0
0 0 1
2 2 0
0 2 1
2 2 2
0 0 2
1 2 1
1 0 2
10 7
1 0 0
1 1 0
3 1 3
2 1 3
2 3 3
2 0 0
1 0 1
1 3 1
1 2 1
2 1 0
10 6
1 0 0
0 0 0
1 1 0
1 0 1
2 1 2
0 2 0
2 0 0
2 2 1
2 2 0
0 1 0
10 2
0 1 2
1 2 2
0 2 2
2 1 0
2 2 1
0 1 1
0 1 0
0 0 2
2 0 1
1 1 1
10 7
1 1 1
2 1 2
2 1 1
0 0 0
0 0 2
1 1 2
1 2 0
1 2 1
0 1 0
0 1 1
10 4
1 0 0
0 1 1
2 2 1
2 0 0
0 2 0
0 0 2
2 2 0
2 1 0
1 2 0
1 2 1
10 5
1 0 2
2 1 1
2 0 1
0 0 0
0 1 1
0 0 2
2 1 2
1 1 1
2 2 2
2 2 1
10 2
2 1 1
2 2 0
3 1 3
3 2 2
1 1 2
2 2 2
2 3 0
0 1 3
0 2 0
3 0 1
10 3
2 1 3
2 0 3
2 1 2
0 2 2
3 3 1
2 2 2
3 2 2
1 2 2
2 0 0
1 0 2
10 9
2 1 2
1 0 1
0 2 2
2 2 2
1 1 2
1 0 2
0 1 1
2 2 0
1 0 0
0 0 2
10 2
0 1 0
0 1 1
1 2 0
1 1 0
0 2 1
2 1 0
1 2 1
2 0 0
0 1 2
2 0 1
10 5
1 3 1
0 3 2
0 0 3
3 3 1
3 1 0
2 2 0
2 3 0
2 1 0
0 1 1
3 0 3
10 4
2 3 3
1 0 2
1 2 3
2 1 1
3 3 1
3 1 1
2 2 3
0 3 0
2 0 1
2 2 0
10 4
1 1 0
2 0 1
2 3 3
2 1 0
1 0 3
3 2 0
1 2 3
1 1 3
0 3 0
1 3 0
10 2
1 2 1
3 1 1
2 3 1
2 0 2
0 0 1
0 3 2
1 1 2
3 3 0
1 0 0
1 3 0
10 7
1 2 2
2 3 1
3 2 3
3 2 0
2 3 2
2 0 0
0 3 3
3 3 3
1 0 2
1 1 1
10 8
2 1 1
1 1 0
1 2 1
2 0 2
0 0 1
2 1 2
1 2 0
0 2 0
0 1 2
0 2 2
10 4
0 0 1
1 2 1
0 2 0
1 0 2
0 1 1
1 2 2
2 0 1
1 2 0
2 1 2
2 2 2
10 8
1 3 3
2 1 2
3 3 3
1 3 1
0 3 1
1 0 2
1 1 1
3 0 2
0 0 2
3 1 3
10 9
3 2 3
0 2 3
2 0 3
1 3 2
1 1 1
2 1 3
2 3 2
2 2 1
0 1 1
2 3 1
10 9
2 2 1
1 0 0
0 1 2
1 1 1
0 0 1
2 0 1
2 1 0
2 1 1
2 2 2
2 0 0
10 2
3 0 3
3 3 1
1 1 2
0 1 1
3 0 1
2 2 1
2 0 1
1 0 3
1 0 0
3 2 2
10 4
0 1 0
0 2 1
2 0 1
2 0 0
1 2 0
2 2 1
1 1 1
0 2 2
0 1 1
1 0 0
10 3
3 3 1
1 1 0
3 3 3
1 3 2
1 1 3
2 3 2
3 2 2
2 1 2
1 2 1
0 3 1
10 5
0 2 0
0 1 0
2 2 1
1 0 2
2 1 1
2 1 0
0 2 1
1 0 0
1 2 1
2 2 0
10 3
3 0 3
0 1 2
2 0 1
0 2 3
1 1 0
2 3 3
1 0 1
0 0 0
1 3 2
2 0 3
10 3
0 0 1
2 2 1
1 0 0
2 0 2
1 2 2
0 1 2
2 2 2
1 0 1
2 0 0
0 0 0
10 2
0 2 1
0 1 0
0 1 2
2 0 0
0 2 2
1 1 2
0 2 0
1 0 2
2 2 2
1 0 0
10 6
0 0 2
2 0 1
2 1 0
1 3 1
0 2 3
1 0 0
0 1 3
1 0 1
2 3 0
1 0 3
10 6
2 0 2
3 0 2
3 2 0
2 3 2
0 3 3
3 3 3
2 2 3
1 0 3
0 1 2
1 0 0
10 3
1 3 3
2 3 3
2 1 3
0 2 2
0 1 2
0 3 0
1 1 0
0 1 1
3 2 0
1 0 3
10 9
3 3 0
2 0 3
1 0 1
0 0 3
2 0 2
3 0 1
3 3 2
0 2 2
3 2 3
0 3 3
10 9
2 1 2
2 1 1
2 2 0
0 0 2
1 1 2
0 1 0
2 2 2
1 2 2
0 0 1
1 0 0
10 3
3 0 0
1 2 3
3 2 1
1 0 3
1 3 2
0 2 2
2 2 3
0 0 2
3 3 2
2 0 1
10 9
3 3 3
3 0 0
1 1 3
3 1 2
0 0 2
2 3 1
0 3 1
0 2 2
2 2 1
1 2 1
10 3
2 0 0
2 1 0
3 0 2
0 3 1
3 3 1
2 3 3
1 3 2
0 0 2
1 1 2
2 0 1
10 6
2 0 0
1 2 1
2 0 1
1 1 2
2 0 2
2 1 0
2 1 1
1 0 2
2 1 2
0 2 0
10 9
0 1 0
1 1 0
1 0 1
1 3 1
0 3 1
2 2 0
2 1 1
3 2 3
1 3 0
3 2 2
10 7
3 2 2
1 0 1
1 1 3
2 0 1
1 1 1
2 1 0
2 3 3
3 2 3
2 3 0
1 1 0
10 5
1 0 1
0 0 2
1 1 2
2 1 1
2 2 0
2 0 2
0 1 2
0 1 0
0 0 1
2 0 0
10 2
2 1 0
1 3 3
2 0 3
0 1 0
0 2 3
1 3 1
2 2 3
1 1 2
2 3 3
1 0 3
10 4
0 2 2
3 3 0
0 1 0
3 3 2
1 3 3
2 3 1
3 2 1
1 1 2
0 1 3
1 0 1
10 8
1 1 0
0 1 1
2 0 1
0 0 2
1 2 2
2 2 0
2 0 2
2 2 1
0 2 2
2 1 2
10 7
3 0 3
2 3 2
1 1 3
2 0 0
0 0 1
3 3 0
2 2 3
1 2 0
1 1 0
2 0 2
10 2
1 2 1
1 0 2
1 0 1
0 0 2
1 1 1
1 1 0
1 1 2
2 2 2
0 1 0
0 2 1
10 2
3 0 1
0 2 3
3 2 0
0 0 1
0 2 2
0 0 2
0 3 1
0 3 2
0 1 3
1 1 2
10 3
3 0 0
2 0 3
1 2 0
2 2 1
3 1 0
2 1 0
1 3 0
3 1 2
1 1 0
2 0 2
10 4
2 1 3
0 0 1
3 3 2
2 0 0
3 1 2
3 3 1
3 0 3
2 3 3
2 2 0
3 0 1
10 9
2 2 2
1 0 1
0 0 0
2 1 2
1 1 0
2 0 1
0 1 2
1 0 2
2 1 1
2 2 1
10 9
0 1 2
2 0 0
0 1 1
1 2 2
1 0 2
0 0 0
2 1 2
0 2 1
2 2 1
2 0 1
10 6
1 1 2
2 1 2
1 1 1
2 0 2
1 2 2
0 1 1
0 2 2
0 0 1
2 0 1
0 2 0
10 6
2 0 1
1 2 1
0 0 1
0 3 0
2 0 3
2 0 0
2 3 2
0 2 0
0 3 2
1 0 3
10 2
2 0 1
0 0 2
0 2 2
0 0 1
1 1 2
1 1 1
0 2 0
1 1 0
2 1 0
1 0 1
10 6
3 2 0
0 0 1
0 3 1
0 1 2
1 0 0
0 0 2
2 3 3
3 0 0
3 3 3
1 2 0
10 4
3 1 2
0 3 0
3 0 3
1 0 0
0 2 0
2 1 2
2 1 1
0 0 0
2 0 2
0 0 1
10 8
0 1 2
3 0 2
2 2 1
0 1 1
0 3 1
3 2 2
3 3 2
0 2 1
1 0 0
2 2 3
10 5
0 2 1
2 0 0
1 0 0
0 1 2
1 0 2
1 0 1
0 1 0
2 0 1
1 1 1
0 0 2
10 9
3 0 3
0 0 2
0 2 3
2 3 0
3 1 0
2 2 2
0 3 0
0 1 3
3 1 1
1 2 0
10 4
1 0 1
3 1 0
2 1 1
0 1 1
3 0 0
3 0 2
0 2 0
2 3 2
1 0 2
0 0 2
10 4
2 0 1
3 2 3
1 2 3
2 1 3
1 3 3
2 2 1
1 2 0
2 3 2
1 3 0
0 3 3
10 8
0 1 1
1 0 0
2 2 0
1 0 1
2 0 2
0 0 2
0 0 0
2 1 0
1 0 2
1 2 1
10 7
0 0 0
1 1 1
1 0 2
1 2 0
0 2 2
0 2 0
0 0 2
1 0 0
0 1 2
0 1 1
10 5
1 0 3
1 1 0
3 1 0
1 3 0
0 1 1
1 3 3
3 2 1
1 3 1
2 0 0
3 2 3
10 9
1 1 2
1 0 0
1 2 2
0 0 2
2 1 2
0 2 0
0 2 1
1 1 0
0 1 2
2 2 1
10 4
2 0 0
2 1 2
2 1 1
2 2 1
1 2 0
0 1 2
0 2 0
1 0 0
2 0 1
1 1 0
10 9
1 2 2
0 2 2
2 2 2
0 2 1
1 2 1
1 0 1
2 0 1
1 1 2
1 0 0
0 0 1
10 2
0 2 2
3 0 1
3 0 3
2 2 3
2 2 2
0 2 0
2 1 2
3 2 3
3 3 0
0 3 2
10 8
0 0 1
1 1 1
0 2 0
1 1 0
0 1 2
0 0 0
0 2 1
2 2 2
0 1 0
1 2 1
10 8
2 2 2
3 3 0
2 3 1
2 1 2
2 1 0
1 1 0
0 1 2
3 2 2
1 1 2
0 2 2
10 5
2 2 3
3 1 2
0 0 2
0 1 1
3 3 2
2 3 0
3 2 1
0 0 0
3 3 0
0 3 3
10 8
0 0 1
1 0 0
0 2 2
0 0 2
0 0 0
0 1 0
2 2 1
1 2 0
0 1 2
1 1 1
10 3
0 3 3
2 3 2
2 2 2
3 3 0
1 2 1
0 1 0
2 3 3
2 2 1
3 2 2
2 1 0
10 5
0 2 0
0 0 0
0 2 2
2 0 2
0 1 1
2 1 1
2 0 1
1 2 1
0 1 0
2 2 0
10 3
0 1 1
2 2 2
0 2 1
0 2 0
2 0 0
1 2 2
1 1 2
1 2 1
2 1 1
2 1 2
10 5
2 0 0
0 0 1
1 1 2
1 0 1
0 2 0
2 1 1
0 2 2
0 1 0
2 0 1
0 2 1
10 4
0 2 1
0 0 2
2 0 0
0 1 1
2 2 0
0 3 3
2 3 0
2 0 2
1 1 1
0 3 0
10 6
0 2 1
0 2 2
3 3 0
0 0 1
3 1 1
3 3 1
0 1 1
1 0 1
1 2 2
1 1 2
10 5
2 2 0
0 1 1
1 1 2
1 2 0
2 0 1
2 0 0
0 1 0
1 0 2
1 1 1
1 0 0
10 8
0 0 1
1 2 1
2 1 0
2 2 0
0 2 0
0 2 2
2 0 2
2 0 1
2 2 2
1 2 2
10 5
1 0 2
0 1 2
0 1 0
1 0 0
2 1 0
0 2 0
2 2 0
2 1 2
1 1 1
1 0 1
10 7
0 1 2
3 0 3
2 1 2
2 1 1
0 2 0
3 0 0
3 3 3
3 0 1
3 1 1
0 2 1
10 8
2 0 1
2 0 2
1 1 2
2 2 0
2 1 2
0 2 0
2 2 1
2 1 1
1 0 1
1 2 0
10 2
3 2 3
0 2 2
1 2 1
2 1 1
2 1 0
0 3 2
3 1 0
0 0 1
0 3 1
0 1 3
10 5
3 2 1
1 1 0
3 2 3
2 3 2
1 3 1
1 1 1
2 3 3
3 2 2
1 2 3
1 3 3
10 9
2 2 0
0 1 0
2 1 2
3 1 1
2 0 3
2 1 1
1 0 2
2 1 3
2 2 2
3 2 0
10 4
0 3 3
0 0 1
3 2 1
3 3 1
3 0 2
0 3 0
3 1 3
2 1 1
0 3 1
2 2 3
10 6
2 1 1
3 1 1
3 2 2
3 3 1
1 3 3
0 2 1
2 3 0
3 1 2
3 0 1
0 3 0
10 2
2 3 3
3 3 0
0 0 1
3 2 1
2 2 2
2 1 2
1 3 1
3 2 3
0 2 0
0 0 2
10 5
0 1 0
0 3 3
1 1 1
2 3 3
0 1 3
0 2 0
3 1 2
1 0 2
0 2 2
3 0 1
10 7
1 0 0
2 3 2
1 3 1
0 3 3
2 0 2
1 2 0
2 1 1
3 0 3
1 0 3
0 2 2
10 8
0 2 2
2 1 0
2 1 1
2 1 2
1 0 0
2 0 2
2 0 1
0 2 0
1 0 1
2 2 0
10 8
2 0 0
1 1 1
1 2 2
1 0 1
0 2 2
2 1 1
0 2 1
0 1 1
0 2 0
1 0 2
10 5
1 1 0
1 2 1
2 1 2
1 0 2
1 0 1
0 2 1
1 2 0
2 0 0
0 0 1
1 1 2
10 2
1 1 1
2 0 2
1 0 0
0 2 1
0 1 0
1 0 1
1 1 2
0 2 0
2 2 1
0 1 1
10 3
1 0 1
1 1 0
2 0 3
1 3 0
0 1 2
3 0 0
0 3 2
3 2 1
1 3 3
2 3 2
10 5
0 2 0
3 2 0
3 1 3
1 1 1
2 0 2
2 3 3
2 2 0
0 3 0
3 3 1
1 0 1
10 8
0 0 3
3 2 1
0 1 2
1 2 2
3 2 0
0 3 0
3 2 2
2 2 1
1 3 1
2 0 0
10 8
0 0 0
1 1 1
1 0 1
1 2 0
1 0 0
2 0 0
0 0 2
2 2 2
0 2 1
0 1 1
10 4
2 0 3
0 1 2
0 1 3
0 1 1
1 1 2
0 2 3
1 3 0
2 2 1
3 2 2
3 1 2
10 5
1 1 2
2 0 1
0 2 2
0 2 1
0 3 1
3 1 1
2 2 2
3 2 2
2 3 3
0 2 3
10 8
2 1 1
1 2 0
1 0 2
2 0 0
0 0 0
0 2 2
2 1 0
1 0 1
2 0 2
1 2 2
10 4
0 1 0
2 0 1
2 0 0
0 2 0
2 1 1
0 1 2
1 2 1
0 0 2
2 2 0
2 1 2
10 6
3 1 2
3 2 1
3 0 1
2 1 2
1 3 2
1 2 2
2 1 0
0 1 3
3 3 2
3 2 2
10 2
2 1 2
1 0 3
1 3 2
1 3 3
2 3 1
2 3 0
3 2 3
0 1 3
3 0 2
1 2 3
10 7
2 2 1
2 2 2
1 0 0
0 1 1
0 0 1
1 1 0
0 1 2
1 1 1
2 0 1
0 1 0
10 9
0 0 2
1 1 2
3 1 2
2 3 0
0 1 0
1 2 2
2 3 2
1 0 3
0 0 3
1 2 3
10 3
1 2 0
1 0 2
1 1 0
0 0 2
1 0 1
0 1 0
2 1 2
0 2 0
2 1 0
0 1 1
10 8
1 2 0
1 0 0
3 3 1
2 3 1
3 1 0
3 2 2
1 1 1
1 0 1
3 0 2
2 1 1
10 3
2 0 3
3 1 0
1 1 0
1 2 0
2 2 2
0 3 2
0 2 1
1 1 2
0 1 0
1 1 1
10 8
0 0 1
1 2 0
3 0 3
2 1 2
3 2 3
3 3 2
3 1 3
1 0 0
1 0 1
1 3 3
10 9
1 0 2
0 0 1
1 1 1
3 2 1
1 1 0
2 0 3
2 1 1
2 1 2
2 3 2
3 2 0
10 2
1 0 0
2 0 0
2 0 1
0 0 1
0 2 0
2 1 2
0 1 2
0 1 1
0 0 0
2 2 1
10 8
2 1 2
1 0 2
0 2 1
0 1 0
0 0 2
2 2 1
1 0 1
0 2 2
0 2 0
2 2 0
10 4
1 3 1
2 2 1
2 0 2
2 2 2
2 0 1
0 0 3
2 2 3
1 0 3
2 3 2
3 3 2
10 5
0 3 1
2 3 3
2 2 1
2 1 0
0 2 3
2 0 0
1 3 3
2 2 3
2 0 2
3 0 0
10 4
1 2 0
2 1 0
0 1 0
2 1 2
2 2 1
1 0 1
2 0 2
0 2 2
0 2 1
2 0 1
10 2
1 3 1
1 2 0
2 0 0
2 1 1
0 1 0
3 3 1
0 0 3
3 0 0
2 3 3
2 0 2
10 5
0 0 0
0 0 1
2 0 1
2 1 0
1 2 2
0 2 2
0 2 1
1 1 2
0 1 1
2 0 2
10 4
3 1 3
1 1 3
3 0 0
0 1 1
2 2 0
0 2 1
2 2 2
0 0 2
1 0 2
2 0 3
10 8
1 1 3
0 0 3
1 1 2
3 2 3
3 3 2
1 2 0
3 1 3
0 1 3
0 2 2
3 2 1
10 3
2 0 0
0 2 1
1 1 2
0 0 0
1 1 0
0 1 2
1 2 0
0 1 1
1 0 1
2 1 0
10 2
0 1 0
0 1 1
1 2 0
2 0 1
1 1 0
0 0 0
0 0 2
2 2 1
1 2 2
1 1 1
10 8
1 3 2
2 2 3
0 1 2
1 2 2
0 0 0
3 0 2
2 2 1
0 1 0
1 1 3
0 0 3
10 3
1 2 2
2 2 1
0 0 1
2 1 1
2 0 2
2 2 2
1 2 1
1 1 2
2 1 2
1 2 0
10 2
1 0 1
2 2 0
1 2 1
0 0 1
2 1 0
2 1 2
0 0 2
0 2 0
1 1 1
1 0 0
10 9
1 1 3
3 1 2
2 2 1
3 0 3
0 2 3
0 3 2
1 1 2
3 0 0
0 1 3
3 3 1
10 2
1 2 1
1 2 3
1 0 1
1 1 2
3 1 1
0 1 2
0 0 0
0 2 0
0 1 3
0 3 1
10 7
1 2 2
2 2 2
1 0 2
1 0 0
2 2 1
2 1 2
2 1 1
1 1 1
0 2 0
2 2 0
10 2
0 3 3
2 1 0
0 1 0
3 1 3
1 1 3
0 2 1
2 2 2
0 3 2
2 3 0
0 1 3
10 5
3 3 2
2 1 1
2 3 1
2 2 2
1 3 3
0 1 3
0 1 1
3 2 3
3 2 0
0 0 3
10 2
2 2 1
2 1 1
2 2 2
1 1 0
0 1 3
3 3 2
2 2 3
1 2 0
0 2 0
3 3 0
10 6
1 1 3
1 1 1
2 2 2
2 1 2
2 2 3
3 1 1
0 3 3
0 1 2
1 3 3
0 3 2
10 4
2 2 2
1 2 2
2 0 1
1 2 1
2 1 1
0 1 0
1 0 0
2 2 1
0 2 1
0 0 1
10 3
0 0 2
1 2 3
1 2 1
2 3 0
1 1 0
3 0 0
3 1 1
1 0 0
3 2 1
0 3 3
10 8
0 2 1
2 2 0
0 1 0
0 2 2
1 1 2
2 2 1
2 0 2
0 0 0
2 1 1
1 2 0
10 9
1 1 1
3 1 1
0 2 1
0 1 3
1 1 2
3 0 2
0 0 2
0 2 2
2 2 2
3 0 0
10 4
1 3 2
0 1 1
1 0 1
0 1 0
3 3 3
2 3 3
2 3 1
3 1 0
2 1 3
1 3 3
10 2
3 2 1
2 2 3
0 3 0
2 2 2
0 0 1
3 3 3
3 0 1
1 2 3
3 0 3
1 3 1
10 8
0 3 1
1 3 2
1 3 3
3 1 3
0 2 0
0 0 2
3 3 2
3 1 2
1 2 2
1 2 1
10 2
1 2 1
0 2 2
1 1 2
0 0 2
0 2 1
2 2 0
2 0 0
1 1 0
0 1 2
2 2 2
10 3
1 3 2
0 2 0
3 3 0
3 2 0
3 1 0
0 2 1
1 1 0
2 2 0
1 2 1
3 2 3
10 8
2 0 1
0 0 1
2 2 1
2 1 2
1 1 2
0 2 0
1 0 0
0 0 0
1 0 2
0 0 2
10 4
0 0 2
2 0 2
3 3 2
2 2 3
1 3 3
0 2 0
2 3 3
1 3 1
1 3 2
2 2 0
10 5
1 1 3
2 0 2
3 2 1
2 3 3
2 1 1
3 1 2
1 2 3
0 1 2
0 3 0
1 1 1
10 6
1 1 3
2 3 0
0 3 0
2 0 3
2 3 2
2 0 1
2 1 2
0 2 2
0 2 1
2 2 2
10 8
0 2 1
3 2 1
3 1 2
3 0 1
2 1 3
2 2 3
1 2 0
2 0 0
1 1 3
3 0 2
10 9
3 0 1
1 2 2
3 0 2
0 1 2
3 1 1
2 2 1
3 1 0
2 0 0
0 0 1
0 1 1
10 9
0 1 0
0 0 2
2 1 2
1 2 1
0 2 1
2 2 0
0 1 2
1 1 0
2 2 1
2 1 0
10 8
0 1 2
2 1 1
2 0 0
0 3 1
1 2 1
0 2 2
0 1 1
1 1 3
3 2 0
1 3 3
10 7
0 2 1
1 1 2
0 1 0
2 1 1
1 0 1
1 1 0
0 0 0
2 1 2
0 1 2
0 2 2
10 9
0 1 1
0 0 1
2 2 1
0 2 2
1 2 0
1 0 0
2 2 2
0 0 2
0 1 0
0 1 2
10 2
0 2 1
0 1 2
0 2 2
2 0 0
0 0 0
0 1 0
2 2 2
1 0 1
1 1 1
1 1 0
10 2
1 0 0
1 2 2
1 1 2
1 0 2
2 0 1
0 2 0
0 0 0
0 1 0
0 0 2
2 0 2
10 6
1 0 1
0 0 2
1 0 0
1 1 1
1 2 2
0 1 1
0 0 0
2 0 0
0 1 2
0 1 0
10 2
3 3 0
2 1 3
3 1 0
1 0 3
3 1 3
0 1 3
3 1 1
0 2 3
2 0 3
2 2 3
10 4
0 1 3
2 0 0
0 3 0
0 2 2
0 1 2
3 1 0
3 2 2
1 3 2
1 3 3
1 2 2
10 5
2 0 1
0 2 0
1 0 1
1 0 0
2 2 0
1 1 0
0 1 0
2 1 0
2 2 2
1 2 2
10 3
2 1 0
3 2 2
2 3 2
3 1 3
2 0 3
2 1 1
0 0 0
1 2 2
0 1 1
2 0 2
10 9
0 1 1
1 2 2
1 0 0
1 1 0
1 2 1
0 1 2
0 2 0
0 2 1
2 2 2
1 2 0
10 5
2 1 2
1 2 0
1 2 1
1 0 0
0 0 1
1 1 2
0 2 0
1 2 2
2 1 1
0 1 2
10 2
3 0 3
0 3 0
0 0 2
1 2 1
1 2 0
2 0 0
3 2 1
3 0 0
0 3 3
1 0 3
10 2
2 1 0
2 1 1
0 0 1
0 2 1
1 1 2
2 0 2
0 1 1
0 1 2
1 2 1
1 1 1
10 6
2 1 1
2 1 0
3 2 0
0 0 1
2 2 3
0 0 0
0 1 0
3 2 1
3 1 0
1 3 0
10 6
2 1 2
2 1 0
0 2 0
2 1 1
1 1 0
2 2 2
1 1 2
0 0 1
1 0 2
0 1 1
10 2
3 2 0
3 0 1
0 2 3
1 0 0
0 0 2
2 3 3
2 0 1
1 0 1
3 1 2
0 1 1
10 4
0 1 2
2 2 1
0 0 0
2 1 1
0 0 1
1 0 0
0 0 2
1 2 0
1 0 2
2 1 2
10 2
1 1 2
3 2 3
1 2 2
0 3 1
0 2 1
0 1 2
0 0 1
1 1 1
3 2 0
0 1 0
10 7
0 0 2
3 1 3
2 1 1
1 0 0
2 1 3
2 2 0
0 3 0
3 1 0
3 2 0
3 2 3
10 9
1 1 1
0 0 1
3 3 0
3 0 1
3 1 1
3 2 3
3 2 2
2 0 2
0 2 1
2 0 3
10 2
3 0 2
3 2 2
3 1 1
2 1 0
2 1 1
1 2 0
0 3 2
2 3 2
3 3 2
0 0 0
10 3
2 0 3
1 0 3
0 2 0
3 3 1
2 0 2
2 1 1
0 2 1
0 3 1
1 3 1
1 1 3
10 8
3 0 3
0 0 2
1 1 1
1 3 2
1 0 3
3 2 1
2 3 2
3 0 2
3 1 1
1 3 1
10 9
2 2 2
0 1 1
2 1 1
2 0 1
1 1 1
1 0 2
1 2 1
0 1 0
0 0 0
1 2 0
10 5
0 1 0
2 0 1
1 0 2
2 0 2
1 0 1
1 1 0
1 1 2
0 2 1
1 2 2
0 2 0
10 5
2 0 1
0 2 2
2 1 0
0 0 2
2 1 1
1 1 0
0 2 0
2 1 2
1 0 2
0 0 1
10 6
2 0 1
2 1 0
0 0 0
2 1 1
1 2 0
1 1 2
2 2 2
2 1 2
0 2 2
1 0 2
10 9
1 2 1
0 2 2
3 2 3
1 1 3
0 3 3
0 0 3
2 3 2
1 2 0
2 3 1
3 1 1
10 4
0 3 0
1 0 1
2 2 1
0 2 1
1 0 2
1 0 3
2 1 0
1 0 0
2 3 2
1 2 2
10 3
0 1 1
2 1 0
2 0 2
0 2 0
1 0 0
1 1 2
1 1 1
2 2 0
2 0 0
2 2 2
10 9
1 1 2
1 0 0
2 1 0
2 2 2
1 0 1
0 0 2
2 2 0
1 0 2
0 0 1
0 2 2
10 9
3 3 3
0 1 1
2 2 1
2 0 3
3 2 0
2 1 3
1 1 1
0 2 2
3 2 3
2 3 3
10 8
1 2 2
0 1 2
2 0 0
0 2 2
0 2 0
0 0 2
2 0 2
2 2 1
1 0 2
2 1 2
10 5
1 0 2
0 1 0
2 1 1
0 0 2
2 0 2
0 1 1
2 2 1
0 0 1
1 1 1
0 0 0
10 4
0 0 1
1 0 2
1 3 0
3 0 3
2 3 1
3 3 1
2 2 2
3 0 0
1 3 3
1 0 1
10 9
2 1 0
2 2 0
2 3 0
3 3 2
1 1 0
0 2 1
3 1 2
1 3 3
1 0 0
0 3 0
10 6
3 0 1
3 0 2
3 1 0
3 0 0
0 3 0
1 3 1
3 0 3
0 2 1
1 2 2
3 2 2
10 9
2 1 2
1 2 1
2 2 0
0 0 1
0 0 2
0 1 1
0 1 0
0 1 2
0 2 2
1 1 2
10 6
0 0 2
0 0 1
1 2 2
1 0 0
0 0 0
2 0 1
2 1 0
1 2 0
1 0 1
2 1 2
10 5
0 1 1
2 3 2
1 3 2
0 1 2
2 0 2
0 3 3
1 3 3
1 3 1
0 3 1
1 2 1
10 8
1 2 0
0 2 0
0 2 2
2 2 1
1 2 2
0 1 2
1 0 2
1 0 1
1 2 1
0 2 1
10 5
2 0 1
3 1 0
3 3 1
0 1 0
0 3 3
2 2 0
2 2 3
1 1 3
3 2 1
1 3 2
10 9
2 1 0
0 2 0
1 2 2
1 0 0
0 0 1
0 1 0
2 2 2
1 1 2
0 1 2
1 1 0
10 3
0 2 0
2 1 1
2 2 0
1 2 2
2 1 0
0 1 0
0 0 1
2 2 1
0 0 2
2 1 2
10 9
1 0 2
2 1 0
1 2 0
1 2 2
1 1 0
2 0 0
0 2 1
2 1 1
0 1 1
0 1 2
10 6
0 1 0
3 1 1
0 0 1
0 3 0
0 1 1
2 1 2
2 0 1
1 2 2
3 3 2
3 3 1
10 5
0 1 0
2 0 2
1 1 2
2 2 2
2 0 0
2 1 1
0 2 2
2 1 0
0 0 2
0 2 0
10 8
2 3 3
2 0 0
1 3 3
3 3 3
1 0 2
1 3 2
2 0 1
2 0 3
3 0 0
1 2 2
10 2
0 2 1
0 0 0
2 1 2
2 0 1
1 1 2
2 2 1
1 0 2
0 1 1
0 1 2
2 1 1
10 6
2 3 1
1 0 3
0 2 0
2 1 3
3 0 2
2 0 0
3 3 0
1 1 0
2 1 0
2 0 1
10 9
1 3 0
3 2 0
0 0 2
0 1 0
0 3 2
1 3 2
1 2 2
0 0 1
3 1 0
3 0 3
10 6
2 2 1
1 1 1
1 0 1
0 0 2
0 0 0
1 1 0
1 0 0
1 2 2
2 1 0
2 2 2
10 6
0 2 2
2 2 0
3 0 1
2 1 1
3 2 2
2 0 0
2 3 3
0 2 3
3 3 3
2 0 1
10 3
1 2 2
2 2 0
1 0 2
1 1 0
2 0 2
0 1 1
1 1 2
2 2 2
0 0 2
0 1 0
10 7
3 1 2
1 2 1
2 1 2
3 1 1
1 1 0
3 0 1
2 2 3
0 3 1
3 2 2
3 3 2
10 2
1 0 1
0 1 0
0 2 0
0 0 0
0 1 1
1 1 0
0 2 1
2 1 0
1 0 0
2 2 0
10 3
3 1 2
2 1 3
0 3 1
0 0 0
2 1 1
2 2 3
1 1 1
0 2 3
1 2 0
2 3 2
10 9
0 1 1
0 1 2
1 0 0
0 0 2
2 1 2
1 2 0
0 1 0
2 0 2
2 2 0
1 0 2
10 4
3 3 1
2 2 3
2 0 3
3 1 1
1 3 3
2 0 0
3 2 1
2 2 2
1 1 0
3 3 3
10 7
3 3 3
2 2 1
0 1 1
3 2 1
0 2 1
3 1 1
3 1 2
3 1 0
1 2 2
1 2 3
10 5
2 2 0
0 1 0
0 2 0
0 0 1
1 0 2
2 1 1
2 1 0
2 1 2
1 1 1
0 1 2
10 8
0 3 2
1 3 1
2 0 0
2 0 2
0 1 0
2 1 0
2 2 1
2 3 1
3 1 2
0 0 2
10 5
3 0 0
3 2 3
1 3 2
2 0 3
0 1 2
1 0 0
2 2 0
1 2 2
1 1 3
0 2 1
10 6
1 3 0
0 2 3
2 3 0
2 3 3
2 1 3
3 3 1
2 1 2
3 2 3
1 3 2
2 2 0
10 3
1 0 1
3 2 3
0 3 0
3 3 1
1 0 3
0 0 1
0 3 1
3 3 0
3 3 2
0 2 3
10 9
0 2 0
0 1 2
2 1 2
0 1 0
1 0 0
2 2 0
0 1 1
1 1 1
1 2 0
1 2 2
10 6
0 0 2
1 2 1
2 2 2
2 1 1
1 0 2
0 2 2
0 1 0
0 1 2
1 0 0
1 1 1
10 6
2 1 1
0 0 0
0 1 0
1 1 0
0 2 1
2 2 0
1 2 2
0 1 1
2 2 2
0 0 2
10 2
2 1 0
0 0 1
1 2 0
2 1 1
2 0 1
1 0 2
0 2 1
1 1 1
0 0 2
1 2 2
10 2
2 0 2
1 3 3
2 0 0
2 1 2
2 2 0
3 2 2
2 3 0
3 0 0
0 1 1
0 0 1
10 8
2 1 1
0 0 0
1 1 1
2 2 2
1 2 0
1 1 0
1 0 0
1 0 1
2 0 2
0 2 1
10 4
3 3 2
0 2 0
0 0 3
1 1 3
2 1 3
2 2 2
2 1 1
1 3 2
3 0 1
0 0 0
10 9
1 3 2
2 0 2
3 1 0
0 2 3
0 1 0
1 1 0
2 2 2
3 0 0
0 2 1
2 0 0
10 6
2 0 0
1 3 3
0 3 0
3 0 3
3 2 0
2 3 3
1 3 2
3 3 0
0 1 0
1 3 0
10 5
1 3 0
3 2 1
1 0 2
2 0 0
0 1 3
3 2 2
3 0 0
1 3 1
1 2 0
2 2 2
10 8
2 1 0
2 2 3
0 0 1
3 0 0
2 2 0
2 3 0
3 3 1
0 3 3
0 2 2
3 1 3
10 4
3 1 0
3 3 1
3 1 2
0 2 1
1 0 1
1 3 2
1 0 2
0 3 1
1 1 3
3 1 1
10 2
3 3 3
2 0 3
0 1 1
3 3 2
0 0 2
2 0 2
0 2 2
1 3 2
3 2 1
0 1 2
10 5
1 2 1
2 1 0
1 1 0
2 1 2
0 0 2
0 0 1
1 1 1
1 1 2
0 2 2
2 1 1
10 4
2 0 2
2 3 3
1 1 2
2 3 2
0 0 2
2 2 2
0 0 1
0 3 0
2 2 3
1 0 2
10 4
0 2 2
2 2 1
1 1 0
1 0 1
0 1 0
2 0 0
0 1 1
0 2 0
2 1 0
2 2 2
10 9
3 1 2
0 0 0
0 2 1
0 0 1
1 2 3
0 3 0
1 0 1
1 1 3
3 3 0
2 3 3
10 8
0 1 0
1 3 3
1 2 3
2 0 3
2 0 0
3 3 2
2 1 0
2 3 2
2 1 1
1 1 0
10 5
2 0 0
2 2 0
0 2 2
0 0 0
2 1 0
1 1 1
2 2 1
0 2 0
1 0 2
2 0 2
10 5
2 3 2
3 2 2
3 0 1
2 0 2
1 3 1
1 2 1
0 3 1
0 1 2
2 3 3
1 3 0
10 9
1 1 1
1 2 1
2 2 1
2 2 0
0 0 0
0 1 2
2 0 0
1 0 2
1 0 1
2 1 1
10 7
1 0 2
2 1 1
2 3 3
1 1 1
2 0 1
3 3 1
0 2 2
2 0 0
0 3 1
1 2 1
10 4
0 1 1
2 3 3
2 0 3
0 1 2
3 3 3
0 1 3
0 3 1
3 2 0
3 3 1
3 2 1
10 4
2 2 1
2 2 2
2 3 2
2 0 3
0 3 2
2 1 0
0 1 0
1 2 2
3 1 3
1 3 3
10 4
1 0 0
0 0 1
1 2 2
2 1 0
1 1 1
0 1 2
2 1 1
1 2 1
0 2 2
1 1 0
10 2
0 1 1
2 1 1
2 0 2
2 2 2
1 0 0
1 2 2
0 2 0
1 0 2
2 2 0
2 1 2
10 7
1 1 0
1 0 2
0 2 1
1 1 2
1 0 1
0 2 0
0 0 0
1 0 0
0 1 2
2 0 0
10 8
2 3 2
1 1 2
2 0 0
0 3 1
0 2 2
3 3 1
1 0 1
3 1 3
0 1 3
3 1 0
10 4
0 2 0
0 0 0
0 0 1
2 2 0
2 2 1
1 1 1
1 2 1
1 0 1
2 1 1
1 2 2
10 2
0 0 0
1 1 0
0 0 1
0 1 1
2 0 1
1 2 2
0 2 2
1 1 1
2 2 2
1 0 1
10 9
0 0 3
0 0 1
2 0 0
1 2 3
3 3 3
2 2 0
3 0 1
1 3 2
1 2 1
0 2 0
10 9
0 2 3
2 0 2
2 3 1
3 3 2
3 1 3
0 1 2
3 1 0
0 0 0
1 2 2
2 2 1
10 9
0 0 1
1 2 1
1 1 1
0 3 2
0 2 2
1 1 2
0 1 2
2 0 3
0 3 0
1 0 3
10 9
2 2 0
0 2 2
3 2 2
3 0 0
0 2 3
2 1 2
0 2 0
3 2 0
3 0 1
1 3 2
10 8
2 0 3
1 3 2
3 2 1
0 0 3
1 2 0
0 1 2
1 3 1
0 0 0
2 1 3
2 3 2
10 4
1 1 0
2 1 0
2 0 3
1 1 1
2 1 2
3 0 2
3 3 2
2 0 2
3 1 3
0 1 3
10 6
0 1 1
0 1 2
1 0 1
1 2 0
2 1 1
1 2 2
2 2 2
2 0 0
0 2 1
0 1 0
10 4
1 0 1
0 1 0
1 0 0
2 1 1
1 1 0
2 0 1
2 2 0
2 1 0
1 2 0
0 2 1
10 2
1 0 0
0 1 2
0 2 1
2 2 1
1 2 0
1 2 1
0 2 0
1 0 2
1 1 0
1 2 2
10 4
2 1 3
3 1 1
1 0 2
2 3 0
1 2 1
0 0 1
0 0 0
2 1 2
2 2 0
0 1 3
10 4
2 3 1
0 0 2
3 2 1
1 1 2
0 0 0
1 3 1
1 0 3
2 3 0
1 0 2
1 2 2
10 9
2 1 1
1 0 1
1 1 1
1 0 0
2 2 2
2 0 1
1 1 0
2 1 0
0 1 1
0 2 2
10 2
1 1 2
1 2 1
2 1 0
1 2 2
2 2 0
2 0 1
2 0 0
0 2 2
2 2 2
0 2 1
10 4
2 0 2
2 0 1
0 0 1
0 1 2
2 1 2
2 2 2
1 2 2
0 2 2
2 0 0
2 2 1
10 9
0 0 2
0 1 0
1 0 2
0 1 1
0 0 0
2 2 2
0 2 0
2 0 0
1 1 0
0 2 2
10 4
2 2 0
0 2 1
1 1 2
3 2 3
2 3 0
3 1 1
3 1 3
3 0 3
3 3 1
3 1 2
10 3
3 3 0
1 3 0
0 2 3
2 2 3
1 2 2
0 2 1
3 1 2
3 0 1
2 2 1
3 3 3
10 2
1 1 1
2 0 1
0 0 0
2 2 2
2 2 0
1 2 1
0 0 2
1 1 2
1 2 2
0 2 1
10 2
0 3 2
2 0 1
1 2 1
0 0 0
0 3 1
3 3 1
0 1 2
1 2 0
3 0 1
2 2 0
10 5
3 2 2
3 1 2
2 3 2
2 0 0
0 0 0
1 2 3
2 2 1
3 0 3
3 0 1
1 0 0
10 2
0 0 0
1 0 0
1 1 2
2 2 2
2 1 1
0 0 1
0 1 1
1 0 1
1 1 1
0 2 1
10 4
1 2 0
3 2 1
0 3 3
2 0 0
0 0 2
1 1 0
1 2 2
0 1 2
3 1 3
1 3 3
10 7
2 1 0
0 2 2
2 1 1
1 0 2
2 0 1
1 1 0
2 1 2
1 1 2
2 0 2
2 2 1
10 6
2 1 3
3 1 3
2 0 3
2 3 1
3 2 1
3 0 3
3 1 1
1 0 0
0 0 0
3 3 1
10 3
2 2 0
0 1 1
1 0 1
0 1 0
0 2 2
2 0 0
1 0 2
2 2 1
1 1 1
0 0 2
10 3
0 1 0
0 2 0
3 1 0
2 1 1
1 3 2
2 2 2
0 0 1
1 3 0
0 3 0
1 2 3
10 2
3 3 1
1 1 2
2 1 2
2 0 3
2 0 1
1 0 0
1 0 1
1 2 1
3 3 3
3 0 2
10 5
2 3 3
2 0 2
1 2 0
1 0 3
1 0 0
0 1 3
0 3 1
1 1 2
0 1 0
0 2 1
10 5
2 1 0
0 2 0
0 1 0
1 2 0
1 1 0
2 2 0
1 1 1
0 2 1
1 1 2
2 2 1
10 4
1 1 0
1 0 2
1 2 1
0 1 1
0 2 0
2 2 1
2 1 0
1 2 2
0 0 2
1 1 2
10 8
0 2 0
3 3 3
2 3 0
1 3 2
2 2 0
0 1 3
1 2 0
1 0 1
1 1 2
2 3 3
10 6
1 0 2
1 0 0
0 1 0
2 0 2
0 2 1
1 2 1
1 2 2
2 2 1
0 0 2
2 0 1
10 6
0 2 2
1 2 2
2 0 0
0 1 1
1 2 0
2 2 2
1 1 1
2 2 1
1 0 1
1 0 2
10 7
0 2 2
0 1 2
0 0 1
2 0 2
0 2 0
2 2 0
2 1 1
2 0 1
1 2 1
0 1 0
10 9
3 2 1
3 0 0
2 0 2
0 3 0
1 3 1
2 1 0
3 3 1
2 3 0
2 1 1
0 0 0
10 7
0 0 0
0 2 1
0 2 0
0 1 2
0 1 1
1 1 1
2 2 1
0 1 0
2 1 2
2 1 1
10 7
0 1 2
0 1 1
3 3 0
1 0 3
2 1 1
2 3 2
3 2 0
1 3 2
3 0 1
2 1 3
10 3
2 1 2
2 0 0
1 0 2
1 2 1
0 0 1
0 0 0
0 1 1
1 0 1
2 2 1
1 1 1
10 9
0 2 1
2 0 0
0 1 0
2 2 2
1 0 2
2 0 1
2 2 0
1 1 2
0 0 0
2 1 0
10 7
1 1 2
1 0 0
1 2 2
2 2 1
2 2 2
0 0 0
1 0 2
0 0 1
0 1 2
2 2 0
10 4
0 2 0
0 1 2
0 0 1
2 0 0
2 0 2
1 2 1
2 2 0
1 1 1
1 2 0
1 0 2
10 8
0 3 0
1 2 1
0 3 1
2 3 1
1 0 2
0 0 1
3 2 3
2 1 0
2 1 1
0 2 3
10 3
2 2 2
0 2 1
0 2 0
2 1 2
0 1 0
1 0 1
0 0 1
1 1 1
1 2 2
2 0 2
10 3
3 3 1
0 3 3
2 1 3
1 0 3
0 2 0
3 1 2
1 0 1
1 3 0
1 1 3
0 0 0
10 3
1 3 2
3 3 1
0 2 3
1 1 0
0 3 1
3 1 0
2 0 0
3 2 3
0 1 0
2 1 1
10 6
1 1 0
1 2 1
0 1 0
0 1 2
0 2 2
0 0 0
0 2 1
1 0 0
1 0 2
2 1 2
10 2
3 0 1
1 0 1
3 3 1
1 3 1
0 1 3
2 2 0
2 3 1
3 2 3
0 1 1
2 3 3
10 4
1 3 0
1 0 2
0 1 1
0 0 0
3 2 2
0 2 3
3 3 1
3 0 3
2 3 3
0 1 3
10 6
2 0 2
3 2 1
3 3 3
2 3 3
2 2 1
2 0 3
1 3 0
1 1 0
2 0 0
0 1 3
10 9
0 0 0
1 1 0
2 0 3
3 1 0
0 1 3
0 1 0
0 0 2
1 1 2
3 0 1
1 0 0
10 9
2 2 3
2 1 3
2 1 0
0 2 1
0 0 2
3 2 1
3 3 1
2 0 0
3 0 0
3 2 0
10 7
2 0 0
0 0 0
1 0 0
3 3 0
3 1 3
3 0 1
2 3 2
0 1 0
0 1 2
1 1 2
10 2
3 3 3
0 3 2
0 1 2
1 2 3
2 2 3
1 1 2
3 1 2
1 2 0
2 0 1
2 3 3
10 9
2 2 2
0 0 2
2 2 1
1 1 1
0 2 0
0 2 1
2 0 2
2 0 0
0 2 2
2 1 2
10 5
1 1 0
2 0 1
2 1 1
1 0 2
2 1 0
0 0 0
2 2 1
0 1 2
0 0 2
0 1 0
10 6
0 2 0
0 2 2
3 1 3
3 1 1
2 3 3
3 0 2
1 0 3
1 1 0
1 0 2
1 3 1
10 2
1 2 1
0 1 1
0 2 2
0 0 0
1 0 0
1 2 2
0 0 1
0 0 2
2 0 2
2 0 0
10 5
2 2 0
1 0 2
1 2 1
1 1 1
1 1 2
1 2 2
0 2 2
2 2 1
0 0 2
2 0 0
10 4
0 0 2
1 2 1
0 2 1
2 1 1
0 2 0
2 1 0
2 2 1
1 0 1
0 1 2
1 1 1
10 3
2 2 1
1 1 1
1 2 2
2 0 0
1 2 1
2 2 0
1 1 0
0 2 1
2 1 0
1 0 0
10 5
2 1 3
1 0 1
3 2 1
0 0 3
0 3 2
3 0 0
3 2 2
2 1 2
0 0 2
1 3 0
10 3
0 2 2
1 2 1
0 1 0
1 1 1
1 0 1
1 1 0
2 1 1
1 0 2
2 2 2
0 0 2
10 4
3 1 1
3 2 0
2 2 1
3 0 0
3 2 2
2 2 0
2 2 2
1 2 0
3 0 1
1 2 3
10 5
0 1 0
2 0 2
2 1 2
0 1 2
1 1 2
1 2 0
2 2 2
1 0 1
2 1 0
1 1 1
10 5
0 0 2
2 0 1
0 2 1
1 1 2
1 2 0
2 1 1
1 0 1
1 0 2
0 1 2
2 1 0
10 8
1 2 0
3 3 1
3 2 3
2 0 3
1 0 0
2 3 1
2 3 2
1 0 1
2 1 3
2 3 0
10 9
2 2 0
0 1 0
1 0 0
0 0 0
0 1 1
2 1 0
1 2 2
0 0 1
1 1 2
1 0 2
10 9
1 1 2
0 1 0
0 0 2
1 0 2
2 2 0
1 1 1
1 0 1
1 1 0
0 1 2
1 2 2
10 6
0 0 0
2 1 0
0 3 1
0 0 3
3 3 2
0 2 0
1 1 1
1 2 0
2 2 2
0 1 2
10 2
0 0 1
2 0 1
1 2 2
0 2 2
2 0 2
0 1 0
1 1 2
2 1 2
2 2 1
2 1 0
10 4
1 0 0
1 0 2
2 2 1
2 1 0
2 0 0
1 1 2
0 2 1
2 1 2
0 1 1
2 0 1
10 2
1 2 0
1 2 1
0 2 1
0 3 0
1 3 0
2 3 2
3 2 1
1 2 2
3 1 0
0 0 2
10 6
3 3 1
1 3 2
1 3 1
3 1 1
1 0 2
0 3 1
2 0 1
0 3 0
1 1 0
2 2 3
10 9
0 2 2
2 0 2
2 2 2
0 0 0
1 0 2
1 0 1
0 2 0
2 1 1
0 1 1
2 1 2
10 3
0 2 2
1 0 0
0 2 0
2 1 0
0 1 2
0 0 2
0 0 0
1 2 2
2 1 1
2 0 2
10 5
0 2 0
2 1 2
2 0 0
2 0 2
0 1 0
1 0 2
2 1 1
0 1 2
1 1 0
1 0 1
10 5
1 1 1
1 1 2
1 2 0
2 2 1
2 0 2
2 0 1
1 0 1
0 0 2
0 0 1
2 0 0
10 8
1 2 0
1 1 2
1 2 2
0 2 2
2 2 0
1 2 1
0 1 1
0 2 0
2 1 0
0 0 2
10 5
1 0 0
1 1 0
1 0 1
2 1 0
0 2 0
2 2 2
2 2 1
0 0 1
2 0 2
1 2 2
10 4
2 1 0
2 0 0
1 1 0
0 2 0
1 0 2
1 1 2
1 2 2
1 2 0
0 0 1
0 2 1
10 3
0 1 3
0 0 1
1 2 1
2 2 3
1 1 2
0 0 2
2 0 3
3 0 1
0 1 0
1 0 1
10 5
2 1 2
1 1 1
2 1 0
0 1 0
0 2 1
2 0 2
0 0 2
2 2 2
1 0 2
2 2 0
10 8
2 2 1
3 2 3
0 1 2
3 1 3
2 1 2
2 0 0
0 0 0
0 3 0
0 1 3
2 3 1
10 7
0 0 0
1 1 0
2 2 0
1 1 1
0 2 1
0 0 1
0 1 0
2 2 2
1 1 2
1 0 2
10 9
1 0 2
3 2 0
2 0 1
1 3 0
2 1 2
2 0 0
1 1 0
1 2 1
1 1 1
3 0 1
10 3
0 2 2
3 2 0
1 0 0
3 1 2
0 3 2
1 2 1
1 3 3
3 1 0
3 2 3
0 1 2
10 4
3 0 2
3 1 2
0 2 0
1 2 1
1 0 1
3 3 1
1 0 2
1 2 0
2 1 2
1 2 2
10 5
2 1 3
0 0 3
2 0 1
0 2 3
0 1 0
3 0 2
0 3 2
3 3 0
2 0 3
3 0 1
10 8
1 1 0
0 2 2
0 0 0
2 1 0
1 0 1
1 0 0
2 2 2
0 0 2
0 0 3
2 0 2
10 8
1 2 3
1 1 1
2 3 2
2 1 0
3 2 2
0 2 2
0 3 3
0 0 3
3 3 3
0 1 0
10 5
1 0 0
1 1 2
2 2 2
2 1 1
0 1 2
2 1 0
1 2 0
2 2 1
0 1 1
0 0 0
10 7
2 0 3
3 2 2
2 2 0
0 2 2
3 3 1
3 2 3
2 2 2
2 2 1
1 3 2
2 2 3
10 3
2 0 0
0 0 2
2 2 0
1 1 2
1 1 1
1 1 0
2 2 1
0 1 1
0 1 2
0 2 2
10 8
1 1 1
2 0 2
0 1 1
0 0 2
1 0 0
0 0 0
2 1 1
2 1 0
0 1 2
0 2 0
10 9
2 2 2
0 0 1
0 0 0
0 0 2
1 0 2
1 1 1
2 1 2
1 2 2
2 1 0
0 1 0
10 2
1 2 2
1 0 1
2 0 1
0 2 2
2 0 0
2 2 0
2 0 2
1 2 1
2 1 1
1 1 2
10 7
1 0 1
2 0 1
2 2 1
0 0 1
0 2 2
0 1 2
0 1 1
2 2 0
1 0 2
1 1 1
10 5
0 2 2
1 0 1
2 2 1
1 1 2
2 2 0
1 2 0
0 0 1
0 2 0
0 1 2
1 2 1
10 4
0 0 1
2 1 1
1 1 2
2 1 0
2 2 2
0 0 2
0 2 1
1 2 1
0 2 2
2 0 2
10 4
2 0 0
0 0 0
0 2 0
2 0 2
2 0 1
2 1 2
0 2 1
1 2 0
0 1 1
1 0 2
10 4
2 0 2
1 0 2
2 2 2
2 2 0
1 2 2
1 1 0
0 2 1
0 0 1
0 0 0
2 2 1
10 2
1 3 0
1 0 1
0 1 0
3 2 3
2 3 0
2 2 2
2 3 2
1 0 2
0 2 1
1 2 2
10 9
1 2 2
2 2 2
2 1 0
0 1 0
1 1 1
0 0 2
2 0 0
0 1 2
1 0 0
0 1 1
10 8
0 1 2
0 0 2
0 2 0
1 1 0
0 2 1
0 1 1
1 0 1
2 2 1
1 2 1
1 1 1
10 7
0 1 3
1 3 0
0 3 0
2 2 2
2 3 2
3 2 1
2 2 3
0 3 1
3 1 1
3 3 0
10 8
2 1 3
2 1 0
1 1 1
1 2 1
2 3 2
0 0 2
1 3 0
3 1 0
3 0 3
2 2 3
10 3
1 3 1
3 2 3
0 0 2
1 0 2
1 0 1
1 3 0
1 3 2
2 3 1
2 1 3
1 2 3
10 6
1 3 0
2 1 2
3 0 0
0 2 2
1 2 2
2 0 2
2 2 3
0 0 1
3 1 2
3 0 3
10 6
2 1 1
3 1 0
0 2 1
3 2 3
0 0 1
1 2 3
3 3 2
1 1 2
3 0 3
0 2 0
10 2
1 1 1
1 2 0
2 1 2
0 2 0
0 2 1
1 0 1
0 0 0
1 2 2
2 2 1
0 0 2
10 9
0 1 1
0 0 1
2 1 2
2 1 1
0 2 2
0 1 2
1 0 2
1 0 1
2 2 2
0 1 0
10 3
2 0 2
2 0 0
0 1 0
2 2 1
1 1 0
1 0 2
2 1 0
2 1 1
1 2 2
1 2 1
10 2
1 2 2
2 2 2
0 0 2
0 0 1
2 1 1
0 2 1
1 1 0
2 0 2
1 1 2
1 2 0
10 4
2 1 2
1 0 0
1 1 0
0 0 2
2 0 2
0 2 0
1 0 1
2 1 1
1 2 2
2 2 0
10 5
0 0 2
2 2 1
1 0 0
1 1 2
2 1 1
0 1 0
1 2 1
2 0 1
1 2 2
1 2 0
10 3
0 2 1
1 0 1
1 1 2
2 1 1
1 2 1
2 1 2
2 0 2
2 2 0
1 0 2
1 1 1
10 9
3 1 3
2 1 0
0 3 3
3 1 1
3 3 3
1 2 3
3 0 1
1 3 0
2 3 0
3 1 0
10 2
0 0 2
0 0 1
2 1 2
0 2 1
1 1 2
2 2 0
2 0 0
0 1 0
1 1 1
1 2 2
10 4
3 2 0
0 2 2
3 0 0
2 2 1
0 2 0
3 0 3
3 1 2
3 1 1
1 1 0
0 1 2
10 8
0 1 2
1 2 1
0 2 1
3 0 0
2 0 1
2 3 3
1 0 0
3 2 0
1 3 3
3 2 1
10 2
0 1 1
1 2 2
0 1 2
1 1 2
0 0 1
2 2 2
2 0 0
1 2 0
0 2 0
1 0 0
10 3
0 3 0
2 0 2
1 2 0
3 0 2
1 2 2
0 2 0
2 0 0
1 2 1
2 1 3
0 0 2
10 5
2 0 1
0 2 2
1 2 1
2 1 2
2 2 2
2 2 1
1 1 0
0 0 2
1 0 1
2 0 2
10 3
0 1 1
2 2 1
1 0 1
0 1 0
2 0 0
0 0 1
1 2 2
2 2 2
2 1 2
1 0 2
10 6
2 2 2
1 0 0
1 2 2
1 2 0
0 0 1
0 1 1
0 1 2
2 2 0
2 0 2
2 1 2
10 2
1 1 0
2 1 2
1 0 2
0 0 1
1 2 2
2 0 0
1 1 1
1 1 2
2 1 1
0 1 1
10 3
0 2 1
0 2 2
2 3 1
2 1 3
2 0 3
1 1 2
1 2 2
3 1 0
1 3 0
3 0 2
10 5
1 1 2
0 0 2
0 0 1
0 2 0
1 0 0
2 2 2
2 1 0
1 2 2
1 2 1
2 2 1
10 9
2 2 0
1 0 2
0 0 0
2 0 0
2 0 1
1 1 1
0 1 0
1 0 0
1 1 2
2 1 2
10 7
3 0 1
2 0 0
3 0 0
3 2 3
0 0 0
3 1 1
1 1 3
0 1 1
2 2 1
3 0 2
10 5
3 3 2
0 1 0
0 0 0
1 1 3
0 3 1
2 1 1
3 1 3
0 1 2
3 3 1
1 1 1
10 8
0 1 2
3 0 3
0 1 0
3 2 2
2 0 1
2 2 0
0 0 0
3 0 1
1 1 2
2 2 2
10 8
1 1 0
2 2 0
3 3 0
3 2 1
3 3 1
3 0 0
2 1 2
3 1 1
2 3 3
2 0 2
10 4
1 1 2
0 1 2
0 2 0
1 2 2
1 1 1
2 2 0
0 1 0
1 0 1
1 2 0
2 2 1
10 7
0 2 0
1 0 1
3 2 0
2 3 0
2 1 3
0 3 1
1 1 1
2 3 3
2 0 1
2 2 3
10 4
2 1 1
1 2 2
0 1 2
1 0 2
0 2 1
2 0 2
2 2 0
0 0 1
2 0 1
0 1 1
10 3
0 3 3
0 2 0
0 3 2
1 2 2
1 1 1
3 0 0
1 2 0
3 3 3
3 2 2
2 1 1
10 8
2 1 2
0 3 1
3 2 2
2 1 0
2 0 2
2 3 1
1 0 3
1 1 3
2 3 0
2 2 0
10 7
2 1 1
3 1 2
3 2 2
1 2 0
1 2 2
1 0 1
0 1 1
3 0 1
0 0 0
1 0 0
10 8
1 0 1
2 2 1
1 2 2
1 3 0
2 2 0
0 0 3
3 1 0
3 0 2
0 2 0
0 2 1
10 2
1 1 0
0 1 0
1 2 2
2 0 1
0 0 0
0 2 0
0 0 2
1 0 0
0 1 2
2 1 2
10 6
2 2 2
2 2 0
0 2 0
1 1 2
1 1 1
2 0 1
1 0 1
1 1 0
2 0 0
1 0 2
10 5
1 0 0
2 2 1
1 1 2
2 0 2
2 2 0
1 0 1
0 1 0
0 0 1
0 2 0
1 0 2
10 8
2 1 1
1 1 1
1 0 2
1 1 2
1 0 0
2 2 2
0 0 1
1 0 1
0 0 0
2 0 2
10 7
2 1 0
2 2 2
1 3 2
2 3 2
3 3 0
0 2 3
3 3 2
2 3 0
2 3 1
1 1 0
10 9
0 1 3
1 1 1
2 1 3
2 2 2
3 2 1
2 1 0
0 3 3
2 3 1
0 1 2
1 0 2
10 5
0 2 1
2 2 1
0 2 2
2 2 2
0 0 1
2 1 2
1 1 1
0 0 0
1 1 2
0 1 2
10 2
2 2 1
0 0 1
2 1 1
0 2 2
1 1 2
0 0 2
1 0 1
1 0 0
2 1 2
1 0 2
10 9
3 2 2
0 0 1
1 0 3
1 3 1
1 2 3
3 1 2
3 0 2
3 2 1
3 3 3
2 3 0
10 3
0 3 3
1 1 2
0 0 3
2 1 3
3 2 3
3 3 2
0 2 0
2 2 3
0 1 1
0 0 0
10 4
0 2 0
2 1 0
1 0 1
0 2 1
0 1 1
1 1 1
0 0 0
0 2 2
1 1 2
0 0 1
10 6
0 2 2
1 2 0
0 2 0
2 2 2
0 1 0
0 1 1
1 1 0
1 0 2
2 1 1
1 2 2
10 2
2 0 1
1 0 2
1 0 3
1 0 0
0 2 1
1 1 1
1 2 3
1 3 1
2 2 1
1 3 3
10 2
2 0 2
1 0 0
1 2 1
1 0 2
2 0 1
2 1 0
1 1 2
1 2 0
0 0 0
1 1 0
10 8
3 1 0
3 2 2
0 3 0
2 2 1
0 2 3
0 1 1
2 2 2
0 2 2
2 0 3
1 3 1
10 4
0 0 3
0 1 2
1 1 1
0 0 2
2 3 1
2 0 3
0 3 1
1 0 2
2 2 3
2 1 1
10 5
1 1 0
1 2 1
2 0 2
2 1 1
2 1 0
0 1 1
2 2 2
2 2 1
0 2 1
0 0 1
10 8
2 1 3
1 2 2
2 3 3
3 0 2
0 1 3
3 0 0
3 1 3
3 3 0
3 0 3
0 0 1
10 5
2 2 1
1 1 0
1 2 0
2 0 1
0 0 0
1 0 0
2 1 2
0 2 0
0 1 1
2 2 2
10 6
0 3 0
1 1 3
2 2 3
3 0 3
3 3 2
0 2 2
0 2 1
0 1 3
1 3 0
3 3 3
10 9
3 1 1
2 1 2
3 2 2
1 3 2
2 0 1
2 2 0
0 0 0
2 1 0
1 0 3
1 0 2
10 9
1 0 0
0 2 0
1 1 2
2 2 0
2 1 0
0 1 2
1 2 0
2 0 1
2 0 2
1 1 1
10 9
0 0 1
0 1 0
1 0 1
0 2 2
0 1 2
1 1 1
1 0 0
0 2 0
2 2 0
1 2 0
10 6
2 2 1
0 1 0
0 2 1
2 0 1
2 0 2
2 0 0
0 1 1
1 0 2
1 1 0
1 2 2
10 7
2 0 3
0 2 0
2 0 2
2 2 2
0 3 3
2 3 0
2 1 2
1 3 0
3 0 0
0 3 2
10 3
1 2 1
0 1 2
1 1 0
0 0 0
1 2 0
2 2 2
1 0 0
0 2 2
2 0 0
0 0 2
10 5
2 0 0
2 2 0
2 1 0
2 2 3
0 3 2
1 2 0
1 1 2
1 3 2
1 3 0
0 0 3
10 6
1 0 1
2 3 2
2 0 0
1 3 0
1 1 0
1 2 3
3 0 2
3 1 0
2 0 2
2 0 1
10 5
1 2 1
1 1 0
0 1 2
1 0 1
0 0 2
1 2 0
2 0 0
0 0 0
0 2 0
1 0 2
10 4
3 2 3
1 3 0
2 2 3
1 1 0
2 3 2
1 2 1
0 3 0
0 3 2
3 2 2
1 3 1
10 8
1 1 3
2 3 0
1 0 3
1 3 2
2 1 2
3 2 2
0 1 1
1 0 1
2 1 3
0 0 3
10 3
2 0 3
1 3 3
0 0 3
3 2 3
3 0 2
3 2 2
1 1 2
1 3 2
0 2 2
2 2 1
10 6
1 0 0
2 1 1
2 1 2
1 0 1
0 2 2
2 2 0
2 1 0
1 1 2
2 0 0
1 1 0
10 4
2 0 0
1 3 0
3 0 1
1 0 0
0 1 3
3 3 1
2 1 3
1 1 3
2 0 2
3 2 1
10 2
1 0 1
3 0 2
1 0 2
3 2 3
1 3 3
2 3 1
0 3 3
0 1 3
2 1 1
1 1 1
10 6
3 3 1
1 1 2
1 2 0
0 0 0
2 0 0
3 1 1
3 1 3
2 3 3
1 3 1
2 3 0
10 7
2 1 1
0 1 0
2 0 2
0 0 0
1 0 1
2 2 2
0 0 2
2 2 0
1 2 2
2 0 1
10 6
3 0 2
3 2 3
2 3 2
0 1 1
3 1 1
2 0 3
2 0 0
1 0 1
3 1 3
1 3 2
10 8
1 1 1
1 1 2
2 2 2
2 2 1
1 2 2
0 0 2
2 0 1
1 2 1
0 2 2
0 0 1
10 5
1 1 1
1 1 0
1 0 1
2 1 2
1 1 2
0 2 2
2 2 0
0 0 2
0 2 1
2 2 2
10 2
2 2 0
1 0 2
3 0 1
1 3 1
1 2 3
2 0 0
2 3 2
2 1 2
2 2 2
1 1 1
10 7
2 0 1
2 1 0
2 0 2
1 0 2
0 2 1
1 2 0
0 2 2
2 2 2
0 0 2
1 1 1
10 7
1 0 2
2 2 2
0 2 1
1 0 0
0 1 2
1 2 0
2 1 1
2 1 0
1 0 1
0 1 0
10 6
0 2 1
1 1 2
2 1 2
2 1 1
0 2 0
1 0 2
2 2 0
0 1 2
2 0 1
0 1 0
10 5
0 2 0
0 0 1
2 1 2
1 2 1
0 0 2
0 1 1
0 1 0
1 1 2
2 2 2
2 2 0
10 2
0 2 1
2 1 1
3 3 2
1 1 0
1 0 3
1 2 2
3 0 0
2 2 0
2 0 3
1 2 0
10 5
0 0 2
1 0 0
1 2 1
2 0 1
2 1 2
1 2 0
1 1 0
2 1 1
1 0 1
2 2 1
10 9
2 2 0
2 2 1
0 2 0
0 1 1
1 0 1
1 1 0
2 1 2
2 0 2
1 2 0
0 1 0
10 6
3 0 1
0 0 1
0 2 0
0 2 2
1 3 2
2 3 2
3 1 0
1 3 1
0 0 3
3 0 3
10 2
1 0 1
3 3 1
3 3 2
0 2 2
2 1 0
1 0 0
0 0 3
0 3 1
3 1 3
0 1 1
10 8
2 1 2
1 0 1
0 1 1
1 1 2
2 0 2
2 0 0
0 1 2
2 2 0
0 0 0
0 2 1
10 3
1 2 1
0 2 1
2 1 2
1 1 0
2 0 0
0 0 1
1 0 1
0 1 1
1 1 2
2 0 1
10 3
0 3 0
3 0 0
2 2 1
1 1 2
0 0 2
2 2 0
3 1 2
2 3 3
3 2 3
0 0 3
10 4
2 0 1
0 2 0
1 2 0
2 2 2
2 0 0
0 0 0
2 1 1
1 1 1
0 0 2
0 1 1
10 3
2 0 1
0 2 1
1 0 0
1 1 2
1 0 2
2 1 1
1 1 0
0 1 1
0 1 0
2 1 2
10 8
2 2 1
2 1 2
0 2 1
0 0 2
0 2 2
0 0 0
1 1 0
0 1 0
0 2 0
1 2 1
10 3
0 0 2
1 1 3
3 1 2
2 1 1
2 3 1
2 1 2
0 1 1
3 1 3
1 0 2
0 2 1
10 2
2 0 0
2 1 1
0 0 2
1 0 1
1 2 0
0 0 0
2 1 2
0 1 0
2 2 0
1 1 2
10 6
0 0 2
0 1 2
1 0 2
2 0 0
2 1 0
3 0 1
1 2 1
3 0 2
0 1 3
1 1 3
10 7
0 1 2
2 1 1
2 0 2
0 0 0
0 2 1
2 1 0
1 1 1
2 2 2
1 2 1
2 0 0
10 7
0 0 3
0 2 3
1 2 1
3 2 0
1 3 2
1 1 0
2 2 1
0 1 3
1 0 3
3 3 3
10 5
2 0 1
3 2 2
2 2 3
0 1 0
1 0 3
1 1 1
0 2 1
3 0 1
2 0 2
1 2 2
10 5
0 1 3
3 1 0
3 1 2
1 2 0
1 3 3
0 0 0
3 2 0
3 1 1
0 3 1
1 3 0
10 3
2 1 1
0 0 1
1 2 1
2 1 2
1 1 1
1 0 0
1 0 2
0 1 1
0 1 0
2 0 2
10 3
3 3 0
2 2 3
3 1 1
2 0 3
1 1 2
0 2 1
3 2 0
1 2 1
1 2 0
2 3 3
10 4
2 2 1
0 1 2
2 2 0
0 2 1
2 2 2
1 1 0
0 1 1
0 2 2
1 2 0
2 0 1
10 6
1 0 1
0 2 2
2 0 2
2 2 0
1 0 0
2 0 1
2 2 2
0 2 0
0 0 1
0 1 1
10 2
0 0 1
1 0 0
2 2 0
1 1 1
1 0 1
2 0 1
1 2 0
2 1 1
0 0 2
0 1 2
10 2
1 3 1
3 1 1
3 1 2
0 3 1
0 3 3
3 1 3
2 0 3
0 1 0
1 0 2
1 2 3
10 7
1 2 3
1 2 0
1 3 2
2 2 0
1 1 3
0 3 2
0 3 0
1 2 1
1 1 2
3 1 0
10 2
0 2 3
0 1 0
0 1 1
2 2 3
0 0 2
2 0 0
2 0 2
3 3 0
2 0 1
3 0 0
10 8
0 1 1
0 2 0
2 0 0
0 0 0
0 0 1
1 0 0
2 1 0
0 2 2
2 1 1
2 0 2
10 3
1 2 0
0 0 0
1 0 2
0 1 0
0 0 2
0 0 1
0 2 1
2 0 2
1 1 2
2 2 1
10 9
2 0 0
0 2 2
0 2 1
2 2 2
0 0 2
0 2 0
1 2 0
2 1 0
0 1 0
2 1 1
10 5
1 1 2
0 1 2
1 2 3
1 0 0
1 2 2
2 0 2
1 3 2
3 1 3
3 1 0
0 0 0
10 9
0 0 2
0 1 2
3 0 2
1 1 1
3 2 1
2 2 0
2 2 2
3 0 0
1 2 1
2 1 0
10 9
3 3 3
2 3 0
3 0 3
1 1 2
2 3 2
1 2 2
0 3 3
1 2 3
3 0 1
0 2 1
10 2
0 3 2
0 3 3
0 0 3
0 2 3
1 1 3
1 0 1
3 2 3
0 1 1
3 0 1
0 2 2
10 7
0 2 1
0 1 2
2 0 2
2 1 0
0 2 2
1 0 0
0 0 0
0 1 0
1 0 2
1 1 0
10 2
2 2 0
3 0 0
0 2 3
0 3 1
2 3 1
2 0 2
0 0 1
1 3 2
1 1 2
3 2 1
10 7
0 3 0
3 1 3
1 3 3
0 2 0
1 1 0
3 2 3
3 3 3
2 3 1
2 2 1
2 0 2
10 2
1 1 0
0 1 2
2 2 1
2 1 1
2 1 3
3 2 3
3 3 0
0 3 0
2 3 2
3 0 0
10 5
0 1 3
0 2 3
2 3 3
3 0 2
0 2 1
0 0 3
0 1 2
3 0 1
0 0 0
1 2 0
10 8
1 0 2
1 2 1
0 0 0
2 0 0
2 0 1
2 1 0
2 2 2
2 0 2
2 1 2
1 1 0
10 9
2 0 2
1 0 2
1 2 3
1 2 1
1 3 2
3 2 3
0 2 0
3 0 2
1 1 3
2 2 1
10 3
1 2 2
1 0 2
1 1 1
2 0 1
1 2 0
2 0 0
2 2 2
2 2 0
2 1 2
0 1 2
10 5
2 1 1
1 2 0
1 0 1
0 2 1
0 2 0
1 1 2
0 0 1
2 0 2
1 1 1
0 1 0
10 4
3 2 1
2 2 2
1 0 2
2 0 3
1 0 3
3 1 1
1 3 0
2 3 0
0 1 3
0 1 2
10 5
2 2 3
0 1 0
0 1 1
3 2 1
1 2 2
0 2 2
1 1 2
2 1 0
2 1 2
3 3 3
10 7
2 0 0
1 2 1
1 2 2
1 1 0
2 0 1
2 2 2
2 2 1
0 1 1
1 0 0
1 1 2
10 6
1 0 0
2 1 2
1 1 3
3 3 0
2 1 1
0 1 1
3 3 2
0 0 0
3 1 3
2 0 2
10 7
1 1 3
2 3 3
0 0 0
3 0 1
2 1 1
3 3 2
0 1 3
2 3 0
0 0 1
1 0 0
10 3
1 1 0
2 0 2
2 0 0
0 2 1
2 1 0
2 2 0
1 1 1
1 2 1
2 1 2
1 0 0
10 8
0 1 0
2 1 0
2 1 1
2 0 2
2 1 2
0 2 0
2 0 0
1 0 0
1 0 2
0 1 1
10 8
0 1 1
1 2 3
3 2 2
1 0 1
1 1 2
2 3 3
0 3 3
0 0 0
0 2 2
2 3 1
10 6
1 2 2
1 2 1
2 2 2
2 2 0
2 1 2
1 1 1
0 1 2
2 1 0
1 1 2
1 2 0
10 7
2 3 3
3 2 2
1 1 1
2 1 3
0 2 0
0 0 1
2 0 0
2 3 1
2 1 2
0 3 1
10 2
1 1 1
1 0 0
1 1 2
2 2 0
0 2 1
0 0 0
2 1 1
2 2 1
2 2 2
1 0 1
10 8
0 1 0
0 1 1
1 1 2
1 1 1
0 0 2
2 2 2
0 1 2
1 2 1
0 0 1
2 0 0
10 4
0 2 1
1 0 2
1 0 3
2 3 0
3 1 0
1 3 3
2 3 2
2 2 1
2 1 1
0 3 1
10 4
0 0 1
1 0 2
0 2 0
2 1 1
1 0 0
1 1 2
2 0 2
2 1 0
0 2 2
1 2 0
10 2
0 1 2
2 0 2
0 2 1
1 2 2
2 1 2
1 0 2
0 2 2
1 1 2
0 1 1
1 0 1
10 9
2 1 1
2 0 0
0 0 1
2 0 1
0 1 0
0 2 1
1 2 1
2 0 2
1 2 0
2 2 0
10 5
1 2 3
0 3 2
3 1 3
0 3 0
3 3 1
1 3 2
0 2 0
1 0 1
2 1 3
0 2 3
10 6
2 0 1
1 0 0
0 1 0
3 0 1
3 1 3
3 2 0
0 3 3
1 3 3
1 0 3
1 3 0
10 2
3 1 3
3 2 0
1 2 1
1 2 3
2 1 3
2 0 2
3 1 0
1 0 0
2 2 3
0 1 1
10 6
0 2 2
2 1 2
0 0 0
3 3 0
3 2 3
2 2 3
3 3 3
0 2 3
1 2 3
2 2 1
10 9
3 2 2
1 0 3
1 1 3
2 0 3
3 2 1
2 2 2
0 3 3
2 2 3
0 0 3
3 1 1
10 6
0 2 0
0 0 2
3 3 1
1 1 2
1 0 3
0 0 1
3 0 1
1 1 0
0 1 3
2 2 2
10 7
0 1 1
1 2 1
1 2 0
2 2 1
0 2 2
0 0 0
2 0 0
2 1 0
2 2 0
2 0 2
10 4
1 0 0
2 0 2
0 2 1
0 2 2
1 2 1
0 0 2
0 1 0
2 2 2
1 2 2
1 0 1
10 8
2 2 2
3 3 3
1 3 3
0 0 3
1 0 0
3 3 2
2 0 1
2 2 0
0 0 1
3 0 2
10 2
3 2 1
2 0 1
3 0 2
1 2 3
1 1 1
3 0 1
1 1 2
2 0 0
2 2 0
0 0 3
10 3
1 3 1
3 3 2
3 2 1
2 2 2
0 0 3
3 0 1
2 0 3
2 3 2
3 1 3
0 3 1
10 7
2 3 3
0 0 0
1 2 2
3 2 2
1 3 0
0 3 2
0 0 1
2 3 0
3 3 0
0 1 1
10 6
2 3 0
2 3 1
1 0 3
0 3 0
3 2 0
1 3 0
1 2 0
1 1 0
3 3 0
2 0 1
10 8
2 0 1
0 0 0
0 1 2
1 1 0
1 2 0
2 2 0
1 2 1
0 2 0
1 1 1
2 2 2
10 8
2 2 2
0 1 1
2 0 0
0 1 0
1 2 1
0 0 0
0 0 2
2 1 2
0 2 0
1 1 0
10 3
3 3 1
3 1 1
2 1 1
3 2 0
2 0 3
2 2 3
2 2 0
3 1 0
3 0 0
0 2 3
10 2
3 0 0
2 0 2
0 1 3
0 1 1
0 2 2
2 3 0
3 3 0
3 1 1
3 0 3
1 2 1
10 9
1 2 3
3 3 1
3 3 0
1 2 1
2 3 3
2 0 2
3 1 0
3 1 2
2 0 3
1 2 0
10 2
1 2 1
2 2 2
1 1 1
2 1 1
2 0 2
1 2 2
2 0 0
0 2 1
2 2 0
1 1 2
10 8
0 1 2
0 2 1
1 0 1
2 2 1
1 0 0
0 1 1
1 2 0
2 0 0
2 1 2
0 0 2
10 5
0 0 2
0 2 1
2 0 0
0 1 1
1 1 1
2 1 2
1 0 2
1 2 1
0 2 2
0 1 0
10 8
0 2 2
1 0 0
0 2 0
2 0 0
2 2 0
1 2 1
2 2 1
2 0 2
2 0 1
1 1 0
10 4
1 0 2
0 1 2
0 0 1
1 1 1
1 1 2
0 2 1
0 1 0
1 2 2
1 2 1
1 1 0
10 2
2 1 2
2 0 2
2 0 1
2 1 0
1 1 1
1 2 1
1 0 2
1 2 0
0 1 0
0 0 2
10 9
0 1 1
1 1 2
1 1 1
0 3 0
2 1 0
3 2 3
0 1 3
1 3 1
3 0 1
0 3 2
10 8
0 2 1
2 1 3
2 0 2
3 1 1
3 3 3
3 1 0
1 2 1
2 0 1
2 3 0
0 0 1
10 2
2 2 1
2 3 3
1 1 0
3 1 3
0 2 1
3 0 0
1 0 1
1 1 3
0 1 2
3 0 2
10 5
1 2 1
1 3 0
0 1 0
1 1 3
0 3 1
1 1 1
3 1 0
2 1 1
1 0 2
0 3 0
10 2
2 2 0
2 1 1
3 2 1
3 1 1
3 3 2
0 1 1
3 0 2
2 3 2
1 1 0
3 1 0
10 4
1 1 1
1 0 0
0 0 1
2 0 1
1 1 0
2 2 1
0 2 2
2 0 2
2 2 2
0 2 1
10 3
0 3 3
2 1 0
2 3 3
2 3 0
2 1 3
3 2 1
0 1 1
2 2 2
3 1 1
1 1 3
10 4
2 0 0
2 2 2
0 0 2
2 2 0
1 0 0
1 2 2
0 1 2
1 0 2
1 2 0
0 2 2
10 6
1 2 1
2 1 0
2 1 1
2 2 0
1 1 2
0 1 1
0 2 1
2 0 1
1 2 0
0 0 0
10 9
0 1 0
3 3 3
2 3 0
3 0 2
2 2 2
1 1 1
1 3 3
0 0 3
2 2 3
2 2 1
10 4
0 2 1
1 2 2
2 1 0
0 1 1
0 2 2
0 2 0
2 1 2
1 1 0
1 1 1
2 1 1
10 8
0 2 1
0 1 0
2 2 1
2 1 2
0 1 2
0 2 2
2 0 2
2 1 0
1 2 2
2 2 2
10 5
1 0 2
2 2 0
0 2 1
0 0 2
2 1 0
1 0 0
0 0 1
1 0 1
2 0 1
0 1 2
10 4
1 2 2
0 2 0
0 0 1
0 0 0
1 2 1
2 1 0
0 2 2
0 1 0
2 0 1
1 0 2
10 4
0 2 0
2 1 1
2 2 1
0 0 1
0 2 1
0 1 1
2 2 0
1 2 2
1 2 0
1 2 1
10 8
0 2 1
3 0 1
3 2 2
3 3 3
2 0 1
0 3 0
1 1 0
3 2 0
1 1 3
0 1 1
10 3
2 3 3
0 3 1
2 3 0
0 3 0
0 0 2
3 2 3
3 1 0
1 1 1
2 0 2
2 1 1
10 2
3 1 3
2 0 1
2 3 2
0 1 0
2 3 0
3 2 0
0 1 1
1 2 0
2 1 3
3 3 0
10 8
2 1 2
2 1 1
2 0 2
2 2 0
1 1 0
1 1 1
2 0 0
2 2 2
2 1 0
0 2 0
10 7
2 1 2
2 1 1
0 2 0
0 2 2
0 1 0
1 2 0
0 0 0
1 0 2
2 0 0
1 2 1
10 4
1 0 1
2 0 0
1 0 0
2 1 0
2 2 0
1 0 2
2 1 2
1 1 0
0 2 1
1 2 0
10 3
0 1 2
0 0 1
0 0 2
1 2 0
2 2 1
2 2 2
2 1 1
1 1 0
2 2 0
0 0 0
10 7
2 2 3
0 1 0
1 1 3
3 3 1
1 1 0
3 0 2
0 1 1
0 2 0
1 2 1
2 3 3
10 6
3 3 0
1 0 3
2 3 0
1 0 1
3 3 3
3 0 1
0 0 1
3 3 2
1 1 0
1 1 3
10 2
2 2 2
0 0 2
2 0 1
0 2 2
0 1 2
2 0 0
0 1 1
1 1 1
2 2 0
2 1 0
10 6
3 1 3
0 2 1
3 1 1
1 1 2
2 3 2
2 0 0
3 0 3
1 3 3
1 1 1
3 2 1
10 9
1 0 2
2 1 2
1 2 1
1 1 0
1 0 0
2 2 0
2 0 0
0 0 2
2 0 2
1 0 1
10 8
1 0 2
2 1 2
0 1 0
0 0 2
0 0 1
2 1 0
2 2 0
1 2 1
1 2 2
2 1 1
10 3
0 1 0
3 1 2
0 2 0
1 1 0
3 3 1
3 0 3
3 2 3
1 2 3
3 3 3
2 3 3
10 3
1 2 0
2 1 2
2 2 0
1 1 2
2 1 1
0 1 0
2 0 0
0 2 1
0 1 1
2 0 1
10 2
0 0 0
1 2 1
0 0 2
0 2 0
2 2 1
0 0 1
2 1 2
1 0 2
0 2 2
0 2 1
10 3
2 0 1
1 1 1
0 2 1
1 2 2
2 1 1
0 1 1
0 1 0
0 0 0
0 2 0
0 2 2
10 7
0 2 2
1 2 0
2 0 2
0 3 0
0 0 0
2 0 0
3 1 0
0 2 1
3 1 3
1 0 2
10 5
1 2 0
0 0 2
0 0 0
0 2 0
1 0 2
0 1 2
2 1 1
1 0 0
0 2 1
0 0 1
10 2
0 2 2
2 2 1
0 0 0
1 0 0
1 1 2
1 1 1
2 1 0
2 0 1
1 2 2
0 1 1
10 7
1 1 2
2 1 3
3 0 0
2 0 1
2 3 0
0 0 1
0 1 0
0 2 3
2 3 1
1 0 2
10 3
2 1 0
0 2 2
0 2 0
2 2 0
0 0 2
1 0 2
0 1 1
2 0 2
2 2 1
1 2 2
10 2
0 1 1
1 0 0
1 1 2
0 2 1
1 2 2
2 1 1
0 2 0
2 0 0
2 1 2
1 2 1
10 4
0 1 1
0 0 2
2 1 0
1 2 2
2 2 1
0 2 2
2 0 2
2 0 0
0 2 1
0 0 1
10 3
2 0 1
0 0 1
1 1 0
0 2 1
2 0 0
0 1 1
2 0 2
2 1 2
2 1 0
1 0 2
10 4
1 0 2
2 2 2
3 0 2
3 2 0
1 3 2
0 1 3
2 3 3
3 0 3
1 1 1
0 0 1
10 2
1 2 3
2 1 1
3 0 3
0 1 0
0 1 2
2 3 0
2 0 1
3 3 0
3 0 0
2 0 2
10 9
0 2 0
0 0 2
0 2 1
1 1 1
2 2 1
1 0 0
1 0 2
2 1 0
0 1 0
0 1 2
10 3
1 1 1
2 0 0
2 1 1
2 2 2
1 2 1
1 0 0
1 2 2
2 2 0
0 1 1
0 1 2
10 4
1 0 1
1 2 1
1 1 1
0 1 1
0 0 1
2 0 1
0 2 0
1 2 0
2 0 0
2 2 2
10 2
2 2 2
2 2 1
1 1 0
0 0 1
2 0 0
1 0 0
2 1 2
0 1 0
1 2 0
2 2 0
10 5
1 1 0
3 3 3
3 1 3
0 1 1
2 1 1
0 3 0
2 0 2
3 3 2
0 3 3
2 0 0
10 3
3 0 1
2 3 3
1 0 2
0 0 3
0 3 3
1 3 0
1 2 0
1 0 0
0 2 0
3 0 0
10 9
3 0 2
1 3 3
2 1 2
1 1 2
2 2 3
3 3 2
1 1 0
3 2 3
0 1 3
0 2 1
10 5
1 1 0
2 1 0
2 0 2
1 0 0
0 1 1
2 2 1
2 0 1
2 2 2
2 1 2
0 1 2
10 6
0 3 1
0 1 1
0 1 0
2 0 3
1 0 1
2 1 3
1 1 2
2 2 0
0 2 2
1 0 0
10 4
2 2 2
0 2 0
1 1 1
1 2 2
0 1 0
2 1 0
0 2 2
2 0 1
1 2 1
1 0 2
10 3
1 3 1
0 0 2
0 1 0
2 1 0
2 0 3
0 3 0
1 0 3
3 2 1
3 0 3
2 2 2
10 2
2 2 0
2 0 2
1 2 0
0 2 0
2 0 1
1 0 1
0 2 2
0 1 2
1 1 0
2 1 1
10 6
0 0 1
2 3 2
0 2 3
3 1 2
0 0 0
3 3 0
2 1 0
2 2 2
1 2 0
3 2 1
10 5
0 2 1
0 1 3
3 0 0
1 3 1
1 2 0
1 1 1
1 1 3
2 1 2
1 2 2
0 1 0
10 2
1 0 1
0 1 1
0 0 2
0 2 2
2 0 0
0 0 1
0 0 0
1 0 0
0 1 2
2 2 2
10 6
1 2 1
0 1 2
0 0 2
1 1 1
0 2 0
1 0 0
2 1 1
0 0 0
0 0 1
0 1 0
10 6
0 1 0
1 2 0
1 1 2
2 0 1
1 1 0
0 2 0
0 0 0
1 2 2
2 2 1
0 1 2
10 8
0 0 0
0 2 3
2 3 3
0 2 0
1 3 1
1 2 0
2 3 2
3 0 3
1 3 3
0 0 3
10 5
1 1 0
0 3 0
2 2 2
3 2 1
0 2 2
2 3 2
2 3 3
2 0 1
0 3 2
1 2 2
10 9
0 0 1
2 1 0
0 0 2
0 2 2
0 1 2
2 1 2
2 0 1
1 2 0
1 1 0
2 2 1
10 9
0 2 2
1 2 2
0 2 1
2 2 2
0 0 0
0 1 0
1 2 1
2 0 2
2 0 1
0 0 2
10 2
1 2 1
1 1 0
2 0 0
1 0 1
1 0 0
2 1 2
2 1 0
0 1 2
1 1 1
0 2 1
10 9
1 2 0
0 2 2
3 1 1
1 3 3
3 3 1
3 2 3
2 1 1
0 0 3
2 3 3
1 1 1
10 7
0 0 1
1 2 1
2 1 1
1 0 2
0 1 2
2 0 1
2 0 0
2 1 0
0 1 0
2 2 1
10 8
0 3 1
1 2 2
0 0 2
3 0 2
3 2 2
2 1 1
3 3 3
1 2 1
3 1 0
3 3 2
10 8
1 3 1
1 2 3
2 3 2
3 3 3
1 2 0
2 0 3
3 3 2
2 3 3
2 0 2
0 1 3
10 9
0 0 0
0 2 3
0 3 2
0 2 1
2 3 2
3 2 3
1 3 0
3 1 1
1 2 3
2 2 3
10 7
1 2 1
1 2 2
2 0 0
0 2 1
2 1 2
0 2 2
1 1 1
1 0 1
2 2 1
2 1 1
10 9
0 2 2
1 1 2
0 1 2
0 0 2
2 2 0
1 2 1
2 0 2
0 1 1
1 0 2
1 1 1
10 4
0 2 0
0 0 1
1 0 0
2 1 2
2 0 0
2 0 2
0 2 1
2 2 1
0 0 0
1 2 2
10 2
3 3 0
0 1 3
1 3 1
0 1 0
3 1 1
0 0 0
1 3 2
1 2 2
1 1 3
2 2 3
10 3
2 1 0
2 0 2
3 1 1
3 1 2
0 1 2
1 0 1
0 3 1
3 2 0
2 3 1
0 1 0
10 6
3 1 2
1 0 1
2 1 2
3 1 3
0 2 0
2 0 0
1 2 3
0 2 3
0 3 2
1 2 0
10 9
2 3 0
0 3 1
2 3 1
3 2 0
2 2 2
1 1 1
1 2 3
3 2 1
2 1 0
0 2 0
10 2
0 2 1
2 0 1
2 2 2
2 0 0
0 0 0
0 0 2
2 1 1
2 1 2
1 2 0
2 0 2
10 3
0 1 0
1 0 1
0 0 1
2 2 2
1 2 0
2 1 2
1 1 0
0 1 1
0 0 2
0 2 0
10 3
3 1 0
2 0 0
0 0 0
0 2 0
0 2 3
0 3 2
3 1 1
0 2 1
0 0 1
3 3 0
10 8
1 2 1
1 1 0
0 2 1
2 0 1
2 0 0
0 1 0
1 2 0
2 2 1
1 0 0
0 0 0
10 6
2 0 1
0 0 1
2 1 1
1 2 0
1 0 0
1 2 2
0 0 0
0 2 2
2 0 2
0 1 1
10 7
2 1 0
3 2 3
1 1 3
2 3 3
2 2 0
0 0 1
1 2 3
1 3 3
1 2 2
1 3 0
10 2
3 0 1
1 0 1
2 0 3
2 1 1
1 2 3
3 3 3
1 1 1
1 2 1
3 3 1
1 1 0
10 7
0 1 0
2 3 2
3 1 0
0 0 2
1 1 1
1 2 0
2 1 2
1 3 2
0 3 3
3 1 3
10 2
1 0 1
1 2 1
0 2 1
2 1 0
2 1 2
0 1 0
1 2 0
0 0 0
2 2 2
0 1 2
10 9
0 1 2
2 0 1
0 2 2
2 2 2
1 2 1
1 1 2
0 1 0
0 2 1
1 1 1
1 0 0
10 5
1 2 2
1 1 2
2 2 2
2 0 1
2 2 0
1 2 0
1 1 0
0 0 2
2 0 2
1 0 1
10 9
3 0 1
2 3 1
0 2 2
3 0 3
0 3 2
2 1 1
1 2 2
1 0 3
0 2 1
2 3 3
10 7
1 0 1
0 0 0
0 0 2
1 2 0
1 0 2
2 2 0
1 0 0
2 1 1
0 2 0
0 1 2
10 7
2 2 1
2 2 2
1 0 1
1 1 1
2 0 0
0 2 2
1 1 2
2 1 2
1 2 2
0 1 2
10 8
0 1 3
3 0 3
3 0 2
0 0 2
0 1 2
1 1 3
3 2 2
1 1 2
0 0 1
2 1 2
10 7
2 2 1
0 0 2
1 2 0
1 1 1
1 1 2
2 1 0
0 0 0
2 2 2
2 0 1
2 0 2
10 9
1 2 1
2 1 1
0 0 2
0 2 0
2 2 2
1 0 1
1 0 0
0 2 1
2 1 0
2 2 1
10 5
2 3 3
3 0 0
0 3 3
0 1 0
0 2 0
0 1 2
2 2 3
0 0 1
2 2 0
2 1 3
10 4
0 1 0
1 0 3
1 2 0
2 0 3
2 3 3
0 2 0
0 2 2
3 2 0
3 2 3
2 1 3
10 4
0 0 1
2 0 1
0 2 0
0 1 2
1 1 2
0 0 2
1 1 0
1 1 1
0 1 0
1 0 1
10 5
1 2 1
0 1 0
2 0 0
0 0 0
1 0 2
2 0 2
0 0 2
1 0 0
1 2 0
0 2 1
10 9
2 1 1
1 2 2
2 0 0
2 2 1
0 0 2
1 2 0
0 1 0
1 0 1
0 1 1
0 1 2
10 2
2 0 1
0 0 0
0 2 2
1 2 1
1 1 1
1 0 2
0 2 1
1 2 0
2 0 2
2 1 0
10 8
3 2 3
1 2 3
3 1 0
1 1 3
2 0 0
2 0 3
1 0 3
1 1 1
3 1 1
3 2 2
10 9
3 2 3
1 0 0
3 1 1
1 1 0
2 2 1
1 3 2
2 2 0
0 3 0
1 3 0
1 1 3
10 3
2 0 0
0 2 1
3 3 1
0 0 0
2 1 2
1 2 0
3 2 3
1 2 3
3 1 0
1 3 1
10 6
0 2 1
1 1 1
1 1 2
2 2 1
2 2 0
1 0 0
1 0 1
2 0 2
2 0 0
2 1 2
10 2
2 2 1
2 1 3
0 3 1
3 0 1
0 1 1
2 3 2
0 0 0
2 3 3
3 0 3
0 3 2
10 4
3 2 0
1 3 1
2 3 2
3 0 3
1 1 0
0 1 2
2 1 1
2 0 1
0 2 1
3 1 1
10 2
0 2 0
0 1 1
1 1 1
1 0 1
1 0 2
2 2 2
0 0 1
2 2 0
2 0 1
1 1 2
10 8
0 2 1
0 1 2
0 1 1
2 0 2
0 0 2
1 1 2
1 2 1
2 1 2
2 1 1
2 2 2
10 8
2 0 2
0 0 2
1 1 0
2 1 0
1 2 0
0 1 0
0 1 1
2 1 2
0 2 2
0 2 1
10 5
0 2 0
2 1 2
2 2 0
2 0 2
1 2 0
2 2 2
1 1 0
0 0 0
0 0 2
1 1 2
10 3
0 1 1
1 1 1
2 1 2
1 2 2
0 0 2
2 1 1
1 0 2
0 0 1
0 0 0
0 1 0
10 2
1 0 1
3 2 0
3 3 1
3 2 2
1 0 3
3 3 0
0 2 0
0 1 1
0 3 1
3 0 3
10 5
3 1 3
1 2 3
0 0 1
3 0 1
0 2 3
3 1 1
3 2 1
2 0 0
1 3 0
2 1 1
10 4
1 1 0
2 1 3
2 3 2
3 1 1
2 2 1
1 0 0
0 3 2
1 2 1
2 2 2
2 2 0
10 8
1 0 1
1 0 0
2 0 1
1 1 2
2 1 2
1 2 1
0 1 1
2 2 0
0 0 0
0 2 0
10 9
2 1 2
1 0 1
0 0 2
2 0 2
0 1 2
0 0 1
1 1 2
0 0 0
2 2 1
0 2 2
10 9
0 3 3
2 2 2
2 2 0
3 3 1
0 1 1
0 0 3
1 1 1
2 1 1
0 3 2
2 1 2
10 2
0 1 1
2 1 0
3 3 1
3 1 1
3 0 1
1 1 1
3 1 0
1 2 1
1 1 2
0 0 3
10 4
2 2 1
1 0 0
0 1 1
0 2 2
1 2 0
1 1 2
0 0 2
0 1 2
1 2 2
1 0 1
10 8
1 2 1
1 0 2
0 0 1
0 1 0
0 1 1
2 2 2
1 0 0
0 1 2
2 2 0
2 1 0
10 9
0 1 1
2 0 1
2 1 2
2 0 2
2 2 0
2 2 2
1 1 2
1 2 2
2 1 1
1 1 0
10 2
0 1 3
2 3 3
0 1 2
3 3 2
3 1 2
3 2 2
1 1 3
0 3 2
2 0 1
0 0 0
10 3
1 0 2
1 0 0
2 2 2
2 0 1
1 2 1
0 0 2
0 0 0
1 2 2
0 1 2
1 2 0
10 8
2 0 3
0 1 0
1 2 1
1 0 2
0 3 3
3 2 2
0 0 3
0 0 0
2 3 1
1 2 3
10 9
1 1 0
2 2 1
1 0 0
0 2 0
1 2 2
2 2 2
0 1 1
1 1 1
2 1 0
1 2 0
10 3
1 1 2
1 1 1
0 2 0
3 3 1
1 0 2
1 1 0
3 0 3
3 3 0
2 1 1
0 3 0
10 5
1 1 1
2 0 2
1 0 2
1 2 1
1 1 2
0 1 2
1 1 0
1 0 1
0 2 1
2 0 0
10 7
3 2 2
1 0 1
2 3 2
1 2 0
1 1 1
0 0 0
3 3 2
2 2 3
3 0 3
0 1 1
10 5
1 0 0
3 0 2
2 2 0
3 0 1
1 2 0
2 2 1
3 1 3
2 3 0
2 1 3
3 2 3
10 5
3 3 3
0 3 0
1 2 0
3 0 2
1 0 1
0 3 2
1 2 2
1 1 3
2 2 3
3 3 2
10 5
0 1 1
0 2 0
1 1 2
0 1 2
2 0 0
0 0 1
0 1 0
2 2 2
1 0 0
1 1 1
10 5
2 2 2
1 2 2
1 0 0
1 0 1
0 1 1
2 0 0
0 0 1
0 1 2
1 1 0
1 2 1
10 3
2 1 1
0 2 1
2 2 2
1 1 1
2 0 0
1 2 2
1 0 1
2 2 0
2 0 2
1 2 0
10 2
3 0 2
0 3 2
0 3 0
1 1 0
2 0 2
1 2 0
1 0 2
2 1 1
2 1 0
2 0 3
10 3
0 0 0
0 0 2
2 2 0
0 2 2
2 1 2
0 2 1
2 1 1
2 1 0
1 1 2
1 0 0
10 9
2 3 3
3 0 1
2 1 2
2 1 0
3 0 0
1 3 0
0 1 0
0 0 3
3 2 2
3 3 3
10 6
1 2 1
1 1 2
2 2 1
1 1 1
2 1 1
1 2 2
1 1 0
2 0 1
2 1 0
0 0 1
10 6
3 1 3
0 1 2
3 2 0
1 2 3
1 3 0
3 2 3
1 0 1
1 3 2
3 3 0
1 1 1
10 8
3 3 2
1 0 2
3 2 1
2 0 1
3 3 0
1 0 0
2 1 1
3 3 3
2 3 0
3 0 3
10 9
1 3 2
1 0 0
2 1 3
1 2 1
3 2 0
3 3 2
3 2 1
0 3 3
1 3 3
2 2 1
10 6
0 2 0
1 1 2
0 2 1
2 1 0
0 1 2
2 2 2
1 0 1
0 0 1
2 0 2
2 0 1
10 9
1 0 1
0 2 0
1 0 3
3 0 3
0 2 3
0 0 3
3 2 1
0 2 2
1 2 1
2 2 2
10 3
1 0 0
0 1 0
0 1 2
1 2 0
0 2 0
0 0 0
1 2 1
2 1 0
1 1 0
0 2 2
10 5
0 0 1
0 0 0
2 0 1
1 1 1
0 2 0
2 2 1
1 0 2
0 0 2
0 1 1
2 2 2
10 2
2 0 0
0 0 2
0 2 0
0 1 1
1 1 0
2 2 1
0 0 0
0 1 2
2 0 2
1 1 2
10 2
1 2 0
0 0 2
1 1 2
2 1 1
0 2 1
1 2 1
2 2 1
0 0 1
2 2 2
1 0 2
10 3
1 0 1
2 0 2
0 0 2
1 2 2
1 2 1
0 2 1
0 1 2
2 2 0
2 0 1
1 1 1
10 2
2 1 2
3 0 0
2 3 0
2 3 3
2 1 1
3 3 0
1 0 0
2 2 2
0 0 0
1 0 3
10 8
0 3 2
0 1 2
3 3 3
2 2 2
1 3 0
2 1 2
0 2 2
1 0 3
2 2 3
0 3 3
10 2
2 1 1
0 1 2
1 1 3
2 0 3
1 2 0
3 1 1
3 1 3
0 0 0
2 0 1
0 0 2
10 3
1 2 3
3 1 0
2 1 0
3 0 0
3 2 1
2 2 3
0 1 0
3 1 3
0 2 1
1 1 0
10 4
2 1 1
0 1 2
0 0 1
0 2 2
2 2 1
2 2 0
2 1 0
2 0 0
1 2 0
1 0 0
10 5
2 1 1
2 2 2
0 1 0
1 2 3
0 2 1
1 3 3
2 0 1
3 2 1
3 3 3
0 3 1
10 8
2 2 0
0 0 0
2 2 1
0 1 2
2 1 2
2 0 1
1 2 2
0 2 2
1 1 2
1 0 1
10 6
1 3 3
2 3 3
3 2 2
2 1 2
0 0 3
3 0 3
3 0 0
0 1 1
1 3 1
1 1 0
10 9
3 0 1
0 3 1
0 1 0
1 3 0
3 3 3
3 2 1
1 2 2
2 0 3
3 1 0
1 2 0
10 4
1 0 1
1 0 0
0 0 2
0 2 2
2 1 0
2 2 1
1 0 2
0 2 0
0 1 1
0 0 0
10 6
0 0 0
0 1 2
2 1 0
0 1 0
0 0 1
0 0 3
0 2 3
2 2 1
2 2 2
2 2 0
10 2
2 1 2
2 2 1
2 0 2
1 2 0
0 0 0
2 2 0
1 2 1
0 1 0
0 0 1
1 0 2
10 5
0 0 0
1 1 1
2 2 0
0 0 1
2 1 1
0 1 2
0 2 1
2 1 0
2 0 0
2 2 1
10 4
2 0 1
0 2 2
0 1 0
1 0 1
2 0 0
2 1 1
0 0 2
0 2 0
2 2 2
1 2 2
10 9
0 2 2
2 0 1
1 2 0
0 2 1
2 2 0
0 1 1
2 0 2
2 2 2
1 2 2
1 1 2
10 2
1 0 1
0 1 1
0 0 0
1 2 1
0 0 1
2 1 2
1 2 0
0 2 1
2 1 1
0 1 2
10 7
0 1 2
0 0 2
2 1 2
0 2 2
0 0 1
0 0 0
0 1 1
0 2 1
1 1 1
0 2 0
10 4
3 0 0
3 0 1
0 3 0
0 2 1
2 0 3
1 0 0
3 2 2
1 3 0
3 1 0
2 0 2
10 3
0 0 0
0 1 2
3 3 1
1 1 0
0 0 1
2 0 3
2 1 3
3 2 1
1 3 2
1 3 3
10 8
0 1 2
2 0 2
0 0 2
1 0 1
1 2 1
1 1 2
0 0 1
1 1 1
2 1 2
1 2 0
10 2
2 1 1
1 0 0
0 1 2
2 0 2
2 2 1
0 2 0
0 1 0
0 2 1
1 1 0
1 0 1
10 9
1 2 2
1 2 0
3 0 2
3 1 0
3 0 1
2 2 2
3 1 3
1 0 3
3 1 1
2 3 1
10 5
0 0 0
2 0 1
2 1 1
2 0 2
1 0 0
1 1 2
0 2 2
1 1 1
1 0 1
2 2 0
10 9
1 2 2
1 0 2
1 2 1
2 1 2
1 1 0
0 2 2
1 0 1
2 0 1
1 1 2
1 1 1
10 9
2 0 1
1 0 2
2 1 1
1 1 1
0 2 0
2 2 0
1 0 1
1 1 0
0 0 0
2 2 1
10 6
2 0 1
0 0 1
1 0 0
1 0 2
2 0 0
0 2 1
2 1 2
2 2 1
0 2 0
1 0 1
10 7
0 1 3
2 3 1
1 3 3
0 0 0
1 1 3
0 3 3
2 2 3
3 1 1
0 0 3
1 2 0
10 9
2 2 1
2 1 1
0 2 0
1 1 2
2 2 2
1 0 0
1 1 1
0 1 2
0 0 0
0 0 1
10 8
3 1 2
3 2 2
3 2 1
2 3 1
0 2 1
1 1 1
3 0 3
0 3 1
2 0 1
0 0 0
10 4
2 1 0
0 2 1
2 0 2
1 2 1
2 2 2
0 1 0
1 2 2
2 2 0
1 1 1
2 1 2
10 4
2 0 1
0 0 1
3 3 0
0 2 1
0 2 3
2 3 3
1 1 2
2 2 3
0 1 0
1 1 3
10 9
0 2 0
0 3 2
1 3 3
1 0 2
3 3 1
0 0 1
3 0 0
0 3 0
2 1 2
0 2 2
10 7
0 0 2
3 3 3
0 1 3
2 1 3
2 0 2
0 1 2
1 3 2
0 3 3
2 2 2
3 1 2
10 7
2 3 3
2 1 1
2 1 3
0 0 0
0 3 2
2 1 2
3 1 2
0 3 1
0 3 3
0 1 0
10 4
2 1 0
0 0 1
1 0 2
0 2 2
2 2 0
0 1 0
1 2 2
1 0 1
0 2 0
1 1 2
10 4
1 0 1
0 0 2
0 2 1
2 1 2
1 2 2
0 1 0
2 0 1
0 0 0
2 2 0
1 1 0
10 4
3 2 1
2 2 0
0 2 0
0 0 1
0 1 3
1 3 3
1 0 0
3 0 0
2 0 3
1 3 1
10 4
0 1 1
1 2 0
1 0 2
0 0 1
0 2 0
1 1 1
2 1 2
1 2 1
1 0 0
0 0 2
10 3
1 0 1
0 2 1
2 0 1
2 2 2
0 2 2
0 0 1
1 0 2
2 2 1
0 1 1
0 2 0
10 2
3 0 1
1 1 2
0 2 0
1 1 1
1 2 3
1 1 3
2 0 0
1 3 1
1 3 2
2 1 1
10 2
0 0 3
3 0 2
0 3 0
3 0 0
0 2 0
0 2 1
2 0 2
0 3 3
0 0 2
3 3 1
10 3
1 2 0
3 0 2
3 1 2
3 2 3
0 3 1
3 3 2
2 1 2
2 3 3
2 2 2
0 0 0
10 2
3 1 1
2 0 2
2 3 0
3 1 2
1 1 0
1 0 1
0 3 3
3 0 0
1 2 0
1 0 3
10 4
2 3 2
3 3 3
1 3 0
3 1 0
3 0 1
1 3 1
0 2 2
2 2 0
3 0 0
2 2 2
10 9
0 3 0
0 0 1
1 3 3
2 0 3
0 1 0
3 0 1
3 0 3
1 0 1
0 3 2
3 1 0
10 4
1 1 0
2 1 2
2 0 0
2 2 0
1 0 1
2 1 0
0 2 1
0 1 2
0 0 2
1 0 0
10 7
1 2 3
1 3 1
0 0 2
1 3 2
2 3 2
1 2 0
0 3 0
1 0 3
1 3 3
0 2 0
10 3
3 1 3
2 3 1
1 3 1
2 1 3
0 0 3
2 0 1
2 2 2
1 3 3
0 2 3
2 1 1
10 6
1 2 2
3 3 0
2 2 0
1 0 3
2 3 1
2 0 3
0 2 0
2 1 1
2 3 0
2 3 3
10 9
1 0 0
1 3 1
0 0 2
3 3 3
3 2 3
3 3 0
3 1 3
1 1 3
0 0 1
1 2 2
10 3
0 2 1
2 0 2
0 2 0
2 1 0
1 0 0
2 2 0
0 2 2
1 2 0
2 1 1
2 0 0
10 6
1 0 2
0 2 2
1 1 1
1 1 2
0 2 1
2 2 0
2 2 1
1 1 0
0 0 0
1 2 2
10 2
3 0 0
1 3 3
0 2 0
0 1 0
2 2 2
3 1 1
1 3 2
2 1 2
2 0 1
3 1 2
10 3
1 2 2
0 2 0
1 2 0
1 1 0
1 2 1
0 1 0
2 2 2
2 1 2
2 1 0
1 0 0
10 2
3 2 0
1 3 1
1 3 2
1 0 2
2 2 2
1 1 3
0 1 0
0 0 2
3 3 0
2 1 0
10 2
1 2 1
2 0 0
0 2 1
1 1 2
2 1 2
0 0 1
2 2 1
0 2 0
0 0 0
1 1 0
10 5
1 2 2
2 2 1
0 2 1
1 3 3
3 3 0
3 1 0
3 0 0
1 3 1
0 0 1
2 0 1
10 6
0 0 1
1 1 1
2 1 0
1 0 1
0 1 1
1 1 0
2 0 1
0 2 2
1 2 1
2 2 1
10 5
0 0 1
2 0 1
2 1 0
2 2 0
2 0 0
0 1 0
0 2 2
1 1 1
2 2 2
0 2 0
10 8
0 2 0
2 1 1
2 3 1
0 3 1
2 2 2
2 2 1
1 0 0
1 1 3
2 3 3
0 3 3
10 6
3 1 2
0 1 0
2 2 1
2 1 3
2 0 0
2 2 0
0 1 1
1 2 1
3 3 1
1 1 1
10 3
2 0 2
1 1 2
0 1 1
1 0 0
0 2 1
2 2 0
1 0 2
1 2 2
1 2 0
0 1 0
10 9
0 2 2
2 2 0
1 0 1
2 1 0
3 2 3
3 0 2
2 3 3
0 0 1
3 0 3
3 3 2
10 7
2 1 2
0 0 1
3 2 3
0 3 2
2 1 0
2 3 0
2 2 3
2 0 2
1 2 1
2 3 2
10 6
2 0 3
2 2 2
2 2 3
0 2 1
0 0 2
2 0 2
0 0 1
1 0 3
1 0 1
1 1 3
10 6
2 1 0
0 2 1
1 1 1
0 1 0
2 1 1
0 2 2
0 0 0
2 2 1
1 2 0
0 2 0
10 3
3 2 3
1 2 3
0 2 0
3 1 3
1 2 2
3 0 1
3 1 0
3 2 0
1 0 1
2 1 1
10 6
2 1 2
2 0 1
2 2 3
2 1 3
1 1 3
1 0 2
1 2 1
1 2 0
3 1 0
2 1 1
10 5
0 2 0
2 0 2
0 2 2
1 2 1
2 2 0
1 2 0
0 1 2
0 1 1
2 0 0
1 1 2
10 8
2 1 0
0 1 2
1 1 0
0 1 1
2 0 0
2 2 2
1 2 1
0 2 0
2 0 1
0 2 1
10 4
1 0 0
2 2 0
2 3 1
3 0 2
2 1 2
1 1 3
1 2 2
2 2 1
0 0 3
0 1 1
10 8
1 3 3
0 3 1
2 1 0
2 3 0
0 3 3
2 1 2
1 3 1
0 0 3
1 1 1
2 0 2
10 6
1 1 1
3 1 2
0 1 3
3 2 1
2 3 0
2 1 2
3 2 0
0 3 1
3 0 2
2 3 1
10 4
1 0 2
3 2 1
0 2 2
3 0 2
2 3 1
0 1 2
1 1 2
3 3 2
3 0 3
2 0 0
10 5
1 2 0
0 2 2
2 1 2
0 2 0
1 0 1
2 2 1
2 1 0
0 1 0
1 0 0
0 0 0
10 2
2 0 1
1 1 1
0 0 1
0 2 0
1 2 1
1 1 2
1 0 1
2 2 1
2 0 2
1 2 2
10 9
3 3 3
1 2 2
3 3 2
0 2 1
0 0 1
3 2 1
1 1 3
1 3 1
3 0 1
3 0 0
10 4
0 1 3
2 3 1
3 0 3
3 0 0
0 2 2
2 3 2
3 0 2
3 1 3
1 1 1
2 0 3
10 3
1 2 2
0 1 2
2 2 1
1 0 2
0 0 0
0 1 1
1 1 0
0 1 0
1 2 0
0 2 1
10 5
0 3 3
2 3 0
3 2 2
1 0 3
3 2 1
1 1 1
1 0 2
2 1 0
3 0 3
0 0 2
10 9
1 1 0
1 2 2
2 3 3
1 0 3
2 3 2
1 3 1
1 3 0
0 0 2
0 0 3
2 3 1
10 4
0 1 0
0 2 3
3 0 0
1 2 2
3 2 1
1 1 2
2 0 2
1 1 0
1 3 0
3 0 2
10 2
0 1 0
1 1 2
2 2 3
0 3 3
3 0 2
3 1 0
3 0 0
2 1 0
1 3 0
0 2 3
10 6
0 1 2
0 1 0
0 2 2
2 0 2
0 2 0
1 0 2
1 1 0
1 1 2
0 0 1
0 1 1
10 8
1 2 1
1 3 3
0 1 2
3 2 2
2 3 3
2 1 3
2 3 2
1 1 2
2 0 0
1 1 0
10 7
2 0 3
1 3 3
0 1 3
3 0 0
0 2 0
3 0 3
3 1 3
2 2 1
1 3 1
3 0 1
10 2
2 1 1
1 0 2
0 0 1
2 1 2
1 2 2
0 2 1
0 1 0
0 0 2
1 0 1
0 1 1
10 3
0 2 1
1 1 0
2 3 0
0 3 2
3 2 1
1 0 2
0 2 2
1 3 2
1 1 2
3 2 2
10 5
1 0 2
2 0 1
2 0 0
0 0 1
0 2 0
2 1 0
1 2 0
2 2 0
1 1 1
0 0 0
10 5
2 2 2
0 1 3
2 3 0
3 2 1
1 3 0
2 1 0
1 2 1
3 1 0
0 2 0
1 1 0
10 7
3 2 0
2 3 3
1 1 2
3 1 2
2 0 3
1 2 1
3 2 3
1 1 0
2 3 1
3 2 2
10 4
2 1 2
0 0 0
1 2 1
0 2 1
0 1 2
1 2 0
0 2 2
1 1 0
2 0 2
0 0 2
10 4
0 2 0
2 1 1
2 1 2
2 2 1
0 1 3
3 0 2
0 2 1
2 0 3
3 1 2
0 0 0
10 7
2 3 1
1 3 1
3 1 0
1 0 3
2 1 1
0 3 2
2 1 0
2 1 3
1 1 3
0 1 0
10 2
1 1 2
1 1 1
1 0 2
0 0 2
2 0 0
1 2 1
1 0 0
0 0 0
0 2 0
1 2 2
10 6
0 2 1
3 1 0
1 0 0
0 0 1
0 1 0
1 0 3
3 0 0
0 3 2
3 1 2
1 3 1
10 5
3 3 3
3 3 2
2 3 2
1 1 3
0 1 1
1 2 3
1 0 3
3 2 0
3 1 1
1 0 2
10 4
0 1 1
0 2 0
1 1 1
1 0 2
1 1 0
0 0 0
2 1 2
0 0 2
2 2 0
0 1 2
10 8
0 3 0
1 3 1
1 0 0
3 3 1
2 0 2
2 1 3
0 2 3
2 2 1
2 0 0
0 2 1
10 8
0 2 3
3 1 0
2 1 2
2 3 0
0 3 0
2 2 0
3 0 1
3 2 1
0 0 3
2 3 1
10 3
2 1 2
1 1 0
1 0 1
0 0 0
1 2 1
0 0 2
2 2 2
2 1 0
2 2 1
1 0 0
10 7
0 2 1
2 1 1
1 2 1
1 3 0
3 0 1
2 3 0
0 2 0
3 0 0
1 1 0
3 1 3
10 2
3 0 1
3 2 3
3 3 2
3 2 0
1 1 1
1 0 0
0 1 3
1 3 3
1 0 3
0 0 2
10 5
0 0 0
1 0 0
2 2 3
1 2 3
3 3 3
1 0 2
2 2 2
2 3 1
2 0 1
3 1 1
10 5
3 0 3
2 3 3
0 3 0
1 0 1
0 3 1
3 2 2
1 3 2
2 3 0
0 3 3
2 0 3
10 7
2 2 2
1 0 1
0 0 2
1 2 0
0 1 2
0 2 2
2 0 1
0 2 1
0 0 0
0 2 0
10 4
2 0 2
3 2 0
2 0 1
3 3 3
1 2 3
1 0 2
3 3 2
3 1 2
0 2 3
0 1 2
10 8
1 0 1
1 1 2
1 1 0
1 0 0
1 0 2
2 1 1
2 2 0
1 2 2
2 1 0
2 0 0
10 2
2 0 2
0 0 0
0 2 0
1 1 2
2 2 1
1 1 1
1 0 1
2 0 1
2 1 2
1 0 0
10 3
2 2 0
0 1 2
1 0 0
2 0 1
1 1 0
1 2 2
0 2 2
2 2 1
1 2 0
1 1 1
10 6
1 2 0
0 0 1
1 2 1
2 0 1
2 1 0
0 1 0
1 0 2
0 2 0
2 0 0
2 0 2
10 9
0 1 2
1 2 1
1 2 0
0 1 1
1 1 1
2 1 1
1 1 2
0 0 1
0 2 2
1 0 2
10 2
3 2 1
3 2 0
0 2 2
3 0 2
3 1 2
1 2 2
2 0 0
1 1 3
3 1 3
0 2 0
10 3
2 2 2
1 2 0
0 1 2
2 1 0
1 1 0
1 2 2
1 1 1
2 2 1
2 1 1
0 1 1
10 2
2 0 0
1 1 2
0 0 2
1 1 0
0 2 2
1 0 1
0 0 1
0 2 0
2 2 0
2 2 1
10 2
1 0 1
2 0 1
1 2 1
2 0 2
1 0 2
2 1 1
0 1 2
0 1 0
0 2 1
1 1 0
10 4
2 0 0
1 3 0
3 3 0
0 3 1
2 3 1
0 3 0
2 1 1
3 1 3
3 3 2
1 0 3
10 6
1 0 3
1 3 0
1 0 1
1 3 1
3 2 3
0 0 2
1 0 0
1 1 0
2 1 2
2 2 2
10 6
0 0 0
1 0 1
0 2 0
1 1 2
2 0 2
1 0 2
0 1 0
1 2 0
1 1 0
0 0 1
10 6
1 0 0
1 2 1
2 1 1
2 0 0
0 2 0
2 0 2
2 2 0
0 0 0
1 2 0
1 0 2
10 7
3 3 3
1 3 1
3 1 3
3 1 0
0 0 3
1 0 0
1 1 3
2 2 2
2 0 1
2 1 0
10 4
3 3 3
3 1 2
1 1 2
2 1 2
2 2 0
0 0 1
3 3 1
0 2 2
3 0 3
1 0 3
10 5
2 2 0
2 2 1
1 0 2
1 2 1
0 1 1
2 1 1
1 0 0
2 0 2
1 1 1
0 0 1
10 7
0 0 2
2 3 1
1 1 1
0 3 2
0 3 0
3 0 1
3 0 0
0 2 1
3 1 1
3 3 1
10 8
3 3 2
0 1 0
2 3 1
2 0 3
0 0 2
2 1 3
1 2 3
1 2 2
3 3 3
3 1 1
10 2
0 0 1
1 1 2
0 1 1
2 0 3
0 2 3
1 3 0
2 2 1
0 2 0
3 2 1
2 0 0
10 8
2 2 2
3 3 3
2 1 3
1 2 1
0 1 0
1 1 0
3 0 3
3 2 3
1 1 3
1 0 0
10 4
0 0 2
2 1 0
2 2 1
0 1 0
0 1 2
2 1 1
1 0 0
1 1 0
0 0 0
1 2 1
10 5
0 3 2
0 2 0
2 3 2
3 3 0
0 2 2
0 1 0
1 1 2
1 2 2
1 0 2
0 0 2
10 7
0 2 2
1 1 1
3 3 0
3 1 3
2 1 0
0 1 0
3 3 2
2 0 0
0 0 1
2 0 3
10 5
2 0 0
0 1 1
1 0 2
2 1 2
2 0 2
2 0 1
0 0 1
1 2 2
2 1 0
0 1 0
10 6
0 2 3
3 1 0
3 2 3
2 3 2
1 0 3
3 0 0
1 3 2
0 2 2
3 1 3
2 2 0
10 9
1 2 1
2 2 1
1 0 1
2 3 2
3 1 0
1 3 1
0 0 1
0 3 0
1 0 2
3 3 1
10 6
1 2 1
1 0 0
0 0 0
1 1 2
0 1 2
0 1 0
0 2 1
0 0 2
2 0 2
0 2 2
10 7
1 1 1
2 1 0
0 1 2
2 0 2
0 1 0
1 0 0
1 0 1
1 0 2
1 2 1
1 2 2
10 7
2 1 1
1 0 2
2 2 3
0 1 2
0 2 2
0 0 2
1 2 1
3 0 2
1 1 3
3 3 3
10 6
0 1 0
2 0 1
1 0 1
1 2 1
1 1 1
2 1 1
0 2 2
2 0 2
1 2 2
2 2 0
10 3
0 0 2
0 3 3
0 2 3
0 3 1
3 2 0
1 0 2
3 0 1
1 3 1
1 1 3
0 3 2
10 6
2 2 1
0 2 0
1 0 1
1 1 3
0 0 0
3 0 0
1 1 2
2 1 1
0 1 3
0 2 1
10 7
2 2 2
2 3 0
3 0 0
2 2 1
0 2 3
0 0 0
2 3 2
3 1 3
3 3 3
3 0 3
10 4
0 2 0
2 1 0
2 0 1
0 0 0
2 2 2
0 2 2
1 2 0
1 0 2
0 1 2
1 0 1
10 3
1 3 3
3 2 1
0 3 2
1 1 0
2 0 2
3 3 1
2 3 3
3 3 0
2 2 3
3 3 2
10 2
1 3 0
3 1 1
3 2 1
1 0 3
1 1 2
0 2 3
0 3 0
0 1 2
1 2 0
0 2 0
10 5
2 1 0
0 1 0
2 0 2
0 1 1
1 1 1
1 0 0
0 0 1
0 2 1
0 0 0
2 0 1
10 4
3 2 2
3 1 1
1 1 2
0 2 3
2 0 1
2 0 3
0 3 0
0 2 1
1 2 1
3 2 3
10 4
0 1 0
0 1 1
2 1 2
0 1 2
0 2 2
0 0 0
2 0 0
0 2 1
0 0 2
1 2 1
10 3
0 2 0
1 1 0
1 0 2
2 0 2
1 0 0
0 1 1
1 2 1
0 1 0
2 1 1
2 0 0
10 7
2 2 0
0 0 1
2 1 2
0 0 0
0 1 2
1 2 1
2 0 1
0 2 1
1 0 2
1 1 0
10 7
2 0 0
2 2 0
2 0 2
0 1 2
2 1 0
0 1 0
2 2 2
1 0 2
0 0 2
2 0 1
10 2
2 0 2
0 0 2
1 2 0
1 1 0
0 0 0
1 1 2
1 0 2
0 2 1
2 1 1
0 1 2
10 6
3 2 3
0 3 0
0 1 3
3 0 2
1 2 1
1 2 3
1 2 0
1 3 1
0 0 2
3 2 2
10 2
1 1 2
3 3 3
2 0 3
2 1 0
2 3 2
3 1 2
2 1 2
3 2 0
3 3 1
1 2 3
10 7
0 1 1
1 0 1
0 2 0
0 2 2
2 1 2
2 1 0
2 1 1
1 2 1
0 0 2
2 0 0
10 4
3 3 1
0 0 1
2 3 3
2 1 0
2 2 3
3 1 0
3 2 2
3 1 3
1 3 3
1 0 3
10 4
1 3 3
2 2 3
3 3 1
2 3 2
1 0 3
2 1 2
1 3 1
2 2 2
3 2 1
2 3 1
10 4
0 1 1
0 0 2
2 2 2
2 1 1
2 1 2
2 2 1
1 0 2
1 0 0
2 0 0
0 0 0
10 5
0 2 2
1 1 2
1 1 1
1 0 2
2 2 1
1 1 0
0 1 0
2 2 0
0 1 2
2 2 2
10 5
3 1 1
3 0 3
1 0 1
2 3 3
2 2 1
0 1 1
2 1 0
1 1 0
3 0 2
1 0 3
10 5
3 2 0
1 2 2
3 3 0
0 1 1
2 1 0
3 2 2
3 0 3
3 3 3
0 3 0
1 1 2
10 2
2 2 2
3 3 1
1 2 1
3 0 3
0 3 3
1 1 0
1 0 1
1 1 1
2 2 3
2 0 2
10 5
0 3 2
2 1 2
0 2 0
3 3 0
1 3 2
1 1 3
0 2 2
1 3 0
3 3 3
2 3 2
10 3
1 3 3
3 3 2
0 0 3
1 2 0
3 0 1
3 0 3
1 1 1
2 2 2
1 1 3
3 1 2
10 8
2 3 0
0 3 0
1 3 2
0 2 3
2 1 0
0 2 1
2 2 0
3 1 2
0 3 1
3 1 3
10 2
3 3 1
3 2 1
1 2 0
3 0 3
1 0 2
3 2 0
2 0 2
3 3 2
1 3 0
0 2 0
10 4
0 2 2
1 3 1
0 0 3
2 2 1
2 3 2
3 3 1
0 2 3
1 1 3
2 2 2
2 2 3
10 6
2 2 2
0 1 0
2 2 3
3 2 1
3 3 1
3 1 1
3 0 1
2 0 3
1 3 0
3 3 3
10 7
0 0 2
2 0 2
1 0 1
0 2 2
1 2 2
2 2 1
2 1 0
1 0 2
0 2 0
1 1 2
10 2
1 0 1
2 2 1
0 0 0
2 2 0
1 1 2
0 1 1
1 1 0
2 0 0
0 1 0
2 1 2
10 5
1 1 0
0 1 2
0 1 0
2 2 2
1 0 2
1 2 1
1 2 0
2 0 0
1 0 0
0 0 1
10 5
1 0 2
1 1 1
0 1 2
1 2 2
1 1 2
1 0 0
0 1 0
2 2 1
0 0 1
2 0 1
10 3
0 1 1
1 0 2
2 0 1
2 2 2
1 0 1
0 0 0
2 0 2
2 2 0
2 1 1
0 0 2
10 8
0 2 2
1 2 0
1 0 1
0 2 0
0 0 2
2 2 0
0 1 2
2 1 2
2 1 0
2 0 2
10 6
0 1 1
2 0 2
1 0 0
2 1 2
2 2 2
0 0 1
0 2 0
1 2 2
1 2 1
0 0 0
10 6
1 3 2
3 2 3
0 1 2
2 1 1
2 3 1
0 2 0
0 2 3
1 0 0
1 0 3
3 2 1
10 2
2 2 2
2 2 1
1 0 0
2 0 0
1 2 2
0 2 0
0 0 0
0 2 2
1 2 1
0 0 2
10 5
3 2 3
2 0 1
1 0 1
0 1 3
0 0 3
3 3 2
3 2 2
2 1 0
3 0 0
2 3 2
10 5
2 2 0
1 2 0
1 2 1
1 0 0
1 0 1
0 1 1
0 1 2
2 2 1
0 1 0
0 2 2
10 3
2 1 2
2 2 2
1 0 1
0 2 0
1 0 2
0 0 1
2 2 0
2 1 0
0 1 1
2 0 0
10 4
2 3 0
1 0 1
1 1 0
2 1 2
2 0 0
2 3 1
1 2 1
0 3 3
2 0 2
3 3 0
10 7
0 2 1
2 2 1
0 0 2
2 1 0
2 0 2
2 1 2
1 0 2
1 2 2
1 1 0
0 0 1
10 2
1 2 2
0 2 2
2 0 0
0 1 0
0 2 1
0 0 2
2 1 2
0 0 0
2 1 1
1 0 2
10 3
0 1 0
1 2 1
3 3 3
1 2 2
2 2 0
0 3 2
2 1 0
1 0 3
3 1 1
1 0 0
10 5
3 2 2
3 0 3
1 0 3
1 3 2
0 3 3
1 3 3
1 2 1
3 1 1
3 1 3
3 1 2
10 3
0 2 2
1 2 0
2 2 0
2 1 2
2 0 1
1 0 1
1 1 1
1 2 1
0 2 1
2 0 2
10 2
1 2 2
2 1 1
0 1 0
1 1 1
2 0 2
2 1 0
0 2 1
1 1 2
1 2 0
2 2 1
10 3
1 2 2
0 0 1
2 1 1
0 2 0
1 0 2
0 0 2
1 1 2
2 0 1
0 1 2
0 1 1
10 9
0 0 2
1 1 1
0 2 0
0 3 1
1 1 2
3 3 0
2 1 3
3 1 1
3 3 2
2 3 2
10 5
2 2 1
1 2 0
3 2 0
2 2 3
1 1 2
3 3 0
2 1 2
0 1 2
0 0 3
0 1 0
10 9
2 0 1
1 0 2
2 1 0
0 2 3
2 2 3
1 0 0
1 3 1
0 0 3
3 1 2
3 0 2
10 8
2 2 1
0 1 2
2 1 1
2 2 0
1 2 2
2 0 0
0 0 0
1 2 0
2 0 2
0 2 0
10 9
2 2 2
1 2 1
1 1 0
1 1 1
0 3 3
1 2 3
3 1 2
2 2 1
0 0 0
3 0 1
10 9
1 1 2
3 0 3
2 3 1
3 2 3
0 2 2
3 0 0
1 0 2
2 0 3
2 0 0
2 1 1
10 6
0 2 0
2 2 2
1 1 1
0 0 0
1 0 2
0 0 2
1 0 1
2 0 2
2 0 0
2 2 0
10 8
1 1 2
2 0 1
0 0 1
1 1 0
1 0 2
0 1 1
0 0 2
2 2 2
2 0 2
2 1 1
10 7
2 0 2
2 3 3
1 1 2
1 2 0
1 3 0
0 0 1
3 0 2
1 3 3
2 0 3
3 3 1
10 7
1 3 0
3 3 0
0 2 1
0 3 1
1 0 1
3 3 3
2 1 2
2 2 2
3 2 3
2 2 0
10 2
2 2 1
0 0 2
3 1 0
3 3 0
3 0 1
3 1 1
3 0 0
2 3 0
2 1 1
0 1 0
10 8
2 1 3
1 1 2
0 3 3
1 0 2
1 1 1
0 1 1
3 3 2
1 2 3
1 3 2
0 0 2
10 3
1 1 1
1 1 0
1 0 1
1 2 1
0 2 0
2 0 1
1 0 0
1 0 2
0 0 0
1 2 2
10 7
1 1 3
2 0 1
3 1 1
0 0 1
3 2 2
2 0 0
0 3 1
1 3 1
3 3 2
3 0 3
10 7
2 0 2
0 0 0
2 2 2
0 2 0
2 1 0
1 2 1
2 1 1
1 1 1
2 2 0
1 1 2
10 7
1 2 1
1 2 2
0 0 0
1 1 2
2 0 2
1 0 0
0 2 2
2 2 1
2 0 0
0 0 1
10 9
1 0 1
0 2 0
1 1 0
0 0 1
1 2 1
1 1 2
1 0 2
1 0 0
2 2 2
2 1 0
10 3
3 0 3
3 1 1
0 0 2
0 3 3
2 1 1
2 3 0
2 0 1
1 1 0
1 2 2
0 3 1
10 2
2 2 2
2 0 0
2 0 2
1 2 2
1 2 1
1 1 2
0 0 0
0 1 2
0 2 2
0 2 1
10 7
3 1 2
3 0 2
3 0 3
0 1 0
2 1 3
2 0 1
3 1 3
1 0 0
3 3 1
1 3 2
10 3
3 2 3
0 3 2
0 2 0
1 0 3
0 0 0
1 2 0
0 2 3
3 3 1
3 3 2
1 3 3
10 6
2 1 1
2 1 2
0 2 1
1 0 0
1 1 2
0 0 0
0 2 2
2 0 0
1 0 2
2 2 1
10 4
1 1 3
3 3 3
3 3 0
3 1 1
0 0 0
2 0 0
2 1 3
3 1 0
0 3 3
1 1 1
10 2
1 2 0
2 0 2
1 1 0
2 2 1
2 0 0
1 0 2
3 2 0
1 3 3
1 1 2
1 0 3
10 2
0 2 0
1 1 0
0 0 1
2 1 2
2 0 0
0 1 2
2 2 1
0 2 1
0 2 2
1 0 1
10 9
1 0 0
2 0 2
1 2 2
2 0 1
0 2 2
2 2 1
2 2 0
0 0 2
0 1 1
0 0 1
10 9
0 1 2
1 2 1
2 2 2
1 1 2
0 2 0
1 1 1
2 0 0
2 1 2
1 2 2
1 0 2
10 8
0 2 1
2 1 2
0 1 2
2 1 0
0 0 2
1 0 1
0 2 2
2 0 0
2 2 0
0 1 0
10 3
2 1 0
1 0 0
0 0 0
0 1 0
2 0 2
0 2 1
2 0 1
0 2 2
2 2 1
1 2 1
10 4
1 1 1
2 2 2
1 0 2
2 0 1
0 0 2
0 2 1
0 1 1
2 1 1
1 2 0
0 0 0
10 3
3 2 1
0 2 1
2 2 0
2 0 0
0 1 3
0 3 1
0 3 3
2 1 1
3 2 0
0 2 2
10 6
0 2 0
0 1 0
2 2 0
0 3 1
3 1 2
2 1 0
2 0 1
0 2 2
2 3 0
3 1 1
10 2
3 1 2
2 1 0
2 2 3
0 1 2
1 3 2
1 2 2
2 2 2
0 3 3
1 0 2
2 1 1
10 8
1 2 0
2 1 2
0 2 0
1 1 2
1 0 2
2 1 0
2 1 1
0 0 1
1 2 1
0 0 2
10 2
2 0 0
0 2 2
1 2 2
2 2 2
0 1 1
0 0 1
0 2 1
1 1 2
0 0 2
2 0 2
10 9
0 0 1
1 0 0
1 1 2
2 1 2
0 2 2
0 1 1
2 0 1
1 2 1
0 1 2
2 1 1
10 8
0 0 1
0 2 1
1 2 0
0 2 0
2 0 1
2 0 0
1 1 0
2 0 2
0 1 1
2 2 2
10 2
0 2 0
2 0 0
2 1 2
1 0 1
1 2 1
0 0 2
0 1 1
1 2 2
2 0 1
2 1 0
10 4
3 2 1
1 2 1
2 0 1
0 1 1
3 1 2
1 1 2
1 2 0
2 1 0
3 1 0
0 2 0
10 5
2 0 1
0 1 0
2 1 0
0 2 1
0 0 0
2 2 0
2 1 1
1 0 2
1 1 0
0 0 1
10 5
1 2 0
0 1 2
1 0 1
1 0 2
3 1 2
2 0 0
1 0 3
2 2 2
1 3 3
0 2 1
10 2
3 3 2
2 3 1
0 1 0
3 1 3
1 3 0
0 2 3
2 1 3
0 1 2
1 1 2
3 1 1
10 9
1 3 2
0 0 0
0 0 3
2 3 1
1 3 1
2 1 0
2 2 0
1 3 3
2 2 3
3 1 2
10 3
2 2 0
1 1 0
1 2 1
2 0 1
1 2 2
1 1 1
1 0 0
0 1 2
1 0 2
2 2 2
10 9
0 2 1
1 0 2
3 0 3
2 2 0
3 1 2
1 0 0
2 3 1
3 2 2
3 2 3
1 1 2
10 2
0 1 2
0 0 1
0 0 2
1 1 1
1 0 1
2 2 0
2 2 1
2 1 1
0 2 0
0 1 0
10 3
1 0 1
1 2 1
1 1 1
2 1 2
1 0 0
2 2 1
1 2 2
1 1 0
1 0 2
0 0 1
10 9
2 0 1
2 2 0
1 1 2
0 0 0
0 0 1
0 0 2
2 1 2
1 1 0
0 2 0
2 2 1
10 9
1 2 3
2 3 2
3 0 1
0 2 2
2 0 1
0 3 2
1 3 2
0 0 0
2 0 2
2 1 1
10 7
0 0 2
2 0 1
1 0 0
0 1 1
0 2 2
2 1 1
2 1 2
0 1 2
1 2 1
2 0 2
10 6
0 0 3
0 1 1
1 0 1
2 0 3
3 2 1
3 2 2
0 1 2
1 3 3
3 1 3
0 3 1
10 3
2 1 2
3 3 0
3 1 1
1 3 2
0 1 3
3 2 0
1 3 3
1 3 0
1 2 2
2 1 3
10 6
0 1 1
2 2 1
0 1 3
1 1 1
0 1 2
2 0 1
3 0 3
0 0 0
2 2 2
1 1 2
10 5
1 3 1
3 3 1
3 0 0
3 3 0
0 3 2
0 2 1
2 1 3
2 1 1
3 3 2
0 0 2
10 2
2 2 2
2 0 0
2 1 1
0 2 2
2 2 1
2 0 1
1 0 2
1 2 1
0 1 2
2 1 2
10 9
0 1 2
2 1 3
1 2 3
1 2 1
2 0 0
1 3 0
3 1 1
3 0 0
3 0 3
2 2 3
10 4
1 1 2
2 1 0
2 1 2
1 1 0
2 1 1
0 1 0
2 0 2
2 0 1
0 2 0
1 0 0
10 8
1 0 0
0 3 2
2 3 3
3 1 0
1 2 3
1 3 1
3 0 0
0 2 1
0 0 3
1 0 2
10 3
2 0 2
0 2 2
0 0 2
1 0 2
2 1 2
0 2 0
0 1 0
2 2 0
2 2 1
1 1 1
10 2
2 2 0
0 0 1
2 1 0
0 2 2
0 0 2
2 2 1
0 2 1
2 0 2
1 1 2
2 0 1
10 3
2 0 0
2 2 0
0 2 2
0 2 0
1 0 0
0 2 1
1 0 2
1 1 1
2 0 1
2 1 1
10 2
2 1 1
2 2 1
0 2 2
0 1 0
1 2 0
0 1 1
2 0 0
0 0 1
2 1 0
1 2 1
10 9
2 2 2
0 0 1
1 2 0
0 2 0
1 2 1
1 0 0
0 1 2
2 1 0
1 0 1
2 2 0
10 8
0 0 0
2 0 0
2 3 0
3 1 1
1 2 3
0 2 3
3 1 3
3 3 2
0 0 2
0 2 2
10 3
2 0 2
0 0 1
2 2 1
1 0 2
2 1 2
2 0 0
0 1 2
2 0 1
2 1 0
0 0 0
10 7
2 1 2
3 3 3
2 2 3
0 3 0
3 0 2
0 1 2
0 0 2
1 2 2
2 2 2
2 1 1
10 7
1 1 1
3 2 1
3 2 0
1 3 0
3 1 3
2 0 0
1 1 0
3 3 1
0 1 2
2 2 1
10 9
1 0 2
1 2 0
0 2 0
1 0 0
0 0 2
2 2 0
1 1 2
0 1 0
2 0 1
2 1 1
10 5
3 1 3
0 1 0
3 2 3
3 2 1
1 0 2
3 1 1
3 3 1
2 0 3
0 1 3
0 0 2
10 4
3 3 1
0 3 2
3 2 3
3 1 2
1 0 2
0 0 0
3 0 3
3 0 0
2 0 2
3 2 2
10 9
1 0 1
0 0 1
2 1 0
0 2 1
1 1 0
1 0 0
0 1 0
0 0 2
2 1 1
1 1 2
10 7
2 2 0
0 2 1
1 1 0
0 0 3
2 1 0
2 0 0
3 3 2
1 2 2
1 1 1
3 1 0
10 7
0 2 2
1 2 0
2 2 0
2 1 0
0 0 1
0 1 0
0 1 2
2 1 1
1 0 1
1 0 2
10 5
1 2 1
2 1 1
1 2 2
1 1 2
0 1 1
0 1 2
0 0 1
0 2 1
1 1 1
0 1 0
10 2
0 1 2
0 2 0
1 0 0
1 2 1
2 0 2
0 1 1
1 1 0
1 0 1
2 1 1
2 2 1
10 4
2 1 1
1 2 2
1 1 0
1 1 2
2 0 0
2 0 2
2 2 0
1 0 1
1 2 0
0 1 2
10 9
1 2 2
0 2 1
0 0 2
2 2 1
2 2 2
0 1 2
1 2 1
1 0 2
2 0 0
1 1 2
10 9
3 2 1
3 0 3
1 2 0
2 1 1
0 3 3
2 0 0
2 2 3
3 3 2
0 2 0
1 0 1
10 4
1 3 0
2 3 3
3 2 2
1 1 3
2 2 3
3 0 2
3 2 1
1 1 1
3 0 3
0 1 3
10 4
2 2 2
1 2 0
2 0 0
2 2 0
2 1 1
2 0 1
1 2 1
1 1 0
1 0 2
1 1 2
10 2
2 1 2
1 2 2
0 0 1
1 0 2
1 0 0
1 1 2
1 1 0
2 0 1
0 1 0
2 0 0
10 6
2 0 2
2 0 0
3 2 0
0 2 2
2 0 3
0 3 3
3 1 0
0 1 0
0 0 3
0 2 0
10 5
2 2 3
2 1 3
3 2 2
2 1 0
1 2 3
1 3 0
0 2 3
2 2 0
1 2 0
3 2 0
10 2
1 0 3
3 3 0
3 3 2
0 3 2
1 3 3
2 0 3
1 2 2
1 0 2
1 1 0
1 1 1
10 9
1 2 1
1 0 0
2 0 3
2 3 3
0 0 0
3 2 2
3 2 0
0 1 3
1 3 0
0 3 2
10 7
1 3 1
1 1 2
1 1 3
0 3 2
1 2 1
3 2 3
2 0 1
0 3 3
3 2 1
2 0 0
10 8
1 3 0
2 2 0
1 1 0
2 3 2
2 2 3
1 0 2
3 3 0
1 0 0
0 3 0
0 1 0
10 4
3 3 2
3 2 1
2 1 3
3 3 1
0 3 3
2 3 2
2 2 2
0 1 2
1 0 2
3 0 2
10 9
2 2 2
0 1 2
1 1 2
1 2 1
0 2 0
2 2 1
1 0 0
2 1 1
1 1 1
0 2 2
10 5
1 1 0
0 1 0
0 0 0
0 1 1
1 1 1
0 0 1
1 2 2
2 2 0
0 0 2
2 0 2
10 9
1 0 0
1 2 3
3 2 1
0 2 2
0 0 2
1 2 0
2 3 0
2 3 3
0 2 1
1 1 2
10 2
2 2 0
1 0 1
0 2 1
0 2 2
2 2 2
0 1 2
2 1 0
0 1 1
0 0 1
0 1 0
10 4
3 0 0
2 1 2
3 3 1
2 2 0
3 0 1
0 1 0
3 1 0
0 1 1
0 2 3
3 2 3
10 7
1 3 0
0 0 1
2 3 0
0 2 0
0 0 3
1 3 1
2 1 2
3 2 0
0 1 0
1 1 1
10 5
0 0 2
2 1 2
0 1 0
1 0 1
2 0 1
2 0 2
0 2 2
1 1 1
1 2 1
1 1 0
10 8
2 0 2
0 2 0
1 0 1
2 1 0
0 0 0
1 0 0
1 2 1
1 2 0
0 1 1
1 0 2
10 3
0 1 0
0 3 0
2 3 1
1 1 1
3 3 2
2 1 1
1 3 1
0 2 3
1 0 3
3 2 3
10 6
1 0 1
2 3 3
0 0 3
3 0 3
0 0 2
3 0 0
2 0 1
3 2 0
3 1 0
1 3 1
10 2
3 2 2
2 0 0
3 3 1
1 2 0
0 2 0
3 1 2
0 1 2
0 0 2
2 3 2
3 2 0
10 9
1 1 1
0 1 3
0 1 1
0 3 2
0 3 1
0 3 3
1 3 3
2 0 0
3 3 1
2 1 0
10 7
3 2 2
0 2 2
0 0 2
2 0 1
0 1 1
1 1 3
0 1 0
1 2 0
0 0 0
2 3 1
10 6
1 1 3
2 1 3
3 2 0
0 1 3
2 2 2
3 0 0
1 3 1
2 1 1
3 1 2
1 3 2
10 9
1 0 3
0 2 2
2 2 0
2 3 1
2 2 3
1 2 0
3 3 1
2 2 2
2 1 2
1 0 1
10 9
3 3 1
1 2 2
1 3 1
3 2 2
2 1 0
1 1 3
1 3 3
3 1 3
0 0 0
0 1 1
10 3
1 2 0
0 2 2
2 0 2
2 2 1
1 0 0
2 2 2
0 0 1
1 0 1
2 2 0
2 0 0
10 6
1 0 3
2 1 1
0 0 3
0 3 0
2 0 3
3 3 1
0 0 0
2 2 3
3 0 1
2 0 2
10 7
3 3 0
0 1 1
0 3 3
2 0 0
1 0 0
0 0 3
2 0 1
2 3 3
1 0 3
1 0 2
10 6
0 0 2
2 0 2
2 2 0
2 1 2
1 2 2
2 0 1
0 2 2
0 0 1
1 2 1
0 0 0
10 3
0 0 1
2 0 0
1 0 1
0 0 2
1 2 0
0 0 0
2 0 1
2 2 0
0 1 2
2 2 1
10 2
0 0 2
1 0 0
2 2 0
2 0 1
0 0 1
2 0 2
0 2 0
0 0 0
2 1 1
0 2 2
10 6
1 0 2
2 2 2
2 1 0
1 2 0
2 2 0
0 0 0
0 1 2
2 0 2
1 1 1
0 2 1
10 2
2 2 1
0 2 0
0 1 1
1 2 0
0 1 2
2 1 2
2 1 0
2 2 0
0 1 0
1 2 2
10 9
0 3 3
0 1 2
2 2 2
1 2 1
3 1 1
2 1 2
1 0 0
0 0 3
3 2 2
3 1 3
10 4
0 3 1
1 3 1
2 3 1
3 2 0
1 2 0
3 2 2
1 1 3
3 1 0
3 2 1
2 1 3
10 3
2 2 1
1 1 1
0 1 0
2 3 2
2 2 2
1 1 2
1 2 3
3 3 1
2 0 0
0 1 1
10 8
0 2 2
1 2 0
3 0 0
3 1 2
0 2 1
3 0 1
2 3 2
0 2 0
3 3 0
2 2 2
10 9
3 1 0
0 1 0
1 3 0
2 3 0
3 3 2
2 3 1
0 0 1
1 0 1
2 2 2
1 2 2
10 3
0 2 0
0 2 2
2 0 1
0 0 1
2 0 0
2 1 0
2 2 2
1 1 1
1 2 1
1 0 2
10 9
1 1 0
2 0 2
1 2 0
0 1 1
2 1 1
0 1 0
1 2 2
2 1 2
1 1 2
1 0 2
10 5
0 2 2
2 3 3
0 1 1
1 1 2
2 0 1
2 0 2
0 0 2
3 0 2
0 3 2
1 3 2
10 2
2 1 0
1 0 0
2 1 2
2 0 0
0 2 0
1 1 1
0 2 1
1 0 1
0 1 2
1 1 2
10 2
0 0 1
1 0 2
0 2 0
0 0 0
1 2 0
2 1 1
1 1 0
1 2 1
1 0 0
2 1 2
10 9
1 0 0
2 1 1
2 3 1
3 1 3
1 1 0
1 3 2
0 3 2
3 3 1
0 1 2
0 1 1
10 4
1 1 2
3 0 1
3 1 2
0 3 3
0 1 0
2 1 2
2 0 1
1 2 2
3 3 1
2 2 1
10 7
1 0 1
0 3 3
0 1 2
2 2 1
0 3 0
2 1 3
2 0 1
0 2 1
3 2 0
1 2 2
10 3
2 2 0
0 1 1
0 0 2
1 1 1
1 0 2
2 1 1
1 0 0
1 2 1
2 2 1
0 2 1
10 8
0 2 3
2 3 1
0 0 2
0 0 1
1 1 2
3 0 3
1 3 1
3 2 1
2 3 3
1 0 1
10 4
0 0 0
2 0 1
1 0 1
0 1 0
0 0 2
1 1 0
2 2 2
1 1 1
0 2 2
1 2 0
10 2
0 2 3
3 0 0
3 0 3
3 2 0
1 3 2
1 0 2
2 1 1
0 0 3
1 0 3
1 2 1
10 9
1 1 0
1 0 1
0 2 2
2 0 0
0 1 1
0 2 0
1 2 0
2 2 2
2 1 0
1 2 2
10 7
3 2 2
0 2 0
1 0 3
1 3 3
1 3 2
3 3 3
0 0 3
1 0 2
0 2 1
2 3 0
10 6
0 0 2
3 2 0
3 0 0
2 2 2
2 2 3
1 1 2
2 0 1
0 1 2
3 3 2
2 0 3
10 4
1 1 2
1 0 1
2 0 1
1 0 2
0 2 2
0 1 0
2 0 0
0 1 2
2 0 2
2 1 1
10 3
1 0 3
3 1 0
2 0 3
0 1 2
2 2 3
0 2 3
3 3 3
1 2 1
1 3 2
1 2 0
10 2
0 0 0
2 0 0
2 1 3
2 3 1
3 3 0
2 3 2
0 1 2
3 1 1
3 0 3
0 3 1
10 5
3 1 1
0 3 0
0 3 2
2 0 2
3 0 0
3 3 0
3 2 2
1 1 2
2 0 3
3 1 0
10 4
3 1 3
2 1 3
2 0 2
1 3 1
2 1 1
1 3 2
3 2 2
1 1 0
1 0 1
1 1 2
10 9
1 0 3
2 1 2
0 2 0
1 1 2
2 3 2
3 3 1
1 3 3
3 1 2
3 1 3
1 0 0
10 8
1 0 1
1 3 3
1 0 2
3 3 2
0 1 2
2 2 3
3 1 3
0 3 1
0 1 3
3 2 2
10 4
1 2 1
2 2 2
1 1 2
0 1 0
2 2 0
1 0 1
0 2 0
2 0 2
0 0 0
0 2 1
10 9
2 0 2
0 2 0
2 1 2
2 0 1
1 1 0
0 1 1
0 1 0
1 1 1
2 2 2
0 1 2
10 6
3 3 3
3 2 0
1 1 0
2 0 0
2 3 1
1 1 2
3 1 2
3 1 1
3 3 2
0 2 3
10 6
0 2 2
2 2 1
0 2 0
2 0 1
1 2 2
2 0 2
2 0 0
0 0 0
1 2 0
1 1 2
10 9
2 1 0
1 2 0
1 0 2
2 0 2
2 2 0
0 1 1
2 1 2
2 0 1
1 0 1
2 2 2
10 2
0 2 1
1 0 0
1 1 1
2 1 2
0 0 1
0 1 1
1 2 0
1 1 2
0 1 0
1 0 1
10 3
1 1 1
1 0 1
0 0 0
1 2 1
0 0 2
0 0 1
2 2 0
0 2 1
2 2 1
1 2 2
10 8
3 2 0
3 2 1
2 3 1
3 1 2
1 3 3
0 0 0
3 0 2
0 2 0
3 1 3
1 2 2
10 6
2 2 0
2 3 1
2 0 3
0 1 3
2 0 0
1 2 0
3 2 3
2 1 0
1 1 0
3 0 1
10 7
2 3 0
1 3 0
0 3 3
3 0 1
3 1 1
2 3 3
1 1 1
3 0 0
1 0 1
3 2 3
10 8
0 2 0
2 2 2
1 2 0
0 1 1
1 0 1
2 1 0
0 1 0
1 1 1
0 2 2
1 1 2
10 7
0 1 2
2 2 1
1 2 0
0 0 0
1 0 0
0 2 0
1 1 0
1 1 2
2 0 0
2 1 0
10 3
2 0 1
0 0 2
3 3 0
0 0 1
3 2 2
2 2 3
3 2 1
1 3 0
0 2 0
0 0 0
10 8
1 2 2
3 3 1
1 1 1
0 0 1
0 1 3
2 0 0
2 3 1
0 1 0
3 2 1
2 0 3
10 8
2 0 1
0 0 1
0 0 2
1 2 1
1 0 0
2 2 1
2 0 2
2 2 2
0 1 2
0 1 1
10 9
0 2 1
1 0 0
1 2 2
2 2 2
1 0 1
2 0 1
2 0 2
2 2 0
0 1 1
1 1 0
10 6
1 0 2
3 1 2
0 1 0
2 0 1
0 0 1
3 2 2
0 0 2
3 3 3
2 1 2
1 0 3
10 3
3 2 3
2 2 0
2 2 3
3 2 0
1 0 3
0 3 0
2 0 3
2 1 0
1 2 0
3 1 3
10 8
0 0 2
1 0 0
1 1 3
2 1 3
2 2 0
0 3 3
0 1 1
0 0 0
3 0 1
0 0 3
10 3
1 3 3
3 2 1
0 1 0
2 1 0
3 2 2
0 2 2
1 2 3
3 0 1
3 3 0
1 1 1
10 8
1 2 3
3 1 3
2 1 1
1 0 2
0 1 1
3 2 1
1 3 2
2 0 1
3 0 0
1 1 2
10 4
1 3 0
3 1 0
1 1 2
2 2 0
0 2 3
0 1 1
0 3 2
1 1 1
1 3 3
1 0 1
10 7
1 2 1
1 3 0
3 2 3
3 2 0
0 0 2
3 0 0
0 1 3
2 3 2
2 0 1
2 2 2
10 3
2 0 2
1 1 2
0 3 3
3 3 3
1 0 3
1 0 0
3 3 0
2 1 1
1 2 0
0 2 2
10 7
0 3 1
1 0 1
0 0 2
3 1 2
2 0 1
3 0 3
3 2 1
0 2 1
3 1 0
1 1 1
10 9
3 1 3
1 1 1
3 2 3
0 0 0
0 1 1
1 3 0
3 0 1
0 1 3
2 3 2
3 2 2
10 9
2 0 0
1 1 0
2 1 2
2 2 2
0 0 0
2 2 0
1 0 0
0 1 2
2 1 0
2 0 1
10 9
2 2 2
0 2 1
1 1 0
2 1 2
2 0 0
1 2 1
0 1 0
1 1 2
2 0 1
1 2 2
10 7
2 0 1
1 2 0
0 2 1
1 2 1
1 1 0
1 1 1
0 1 2
2 1 2
2 2 1
2 1 1
10 2
1 1 2
0 2 3
3 1 1
1 1 0
2 3 2
0 1 1
0 1 0
3 3 2
3 0 3
2 1 0
10 9
0 1 0
1 3 1
0 3 0
3 0 3
2 1 0
2 2 0
1 1 0
0 1 2
3 2 2
2 3 1
10 3
1 2 2
1 1 1
2 0 0
0 2 0
1 0 0
1 1 2
1 0 1
2 1 2
2 1 0
0 2 1
10 9
3 3 2
1 3 2
0 1 1
0 3 2
3 3 0
0 0 3
3 1 1
2 0 1
0 3 1
3 2 3
10 9
2 3 1
0 1 1
3 1 3
1 1 1
3 1 2
0 2 3
3 0 0
1 3 1
3 0 1
1 3 0
10 5
3 3 2
3 1 3
1 3 0
3 0 1
1 3 2
0 1 1
3 1 2
0 2 2
0 0 2
2 1 0
10 4
2 2 1
1 2 2
2 1 2
2 1 1
0 0 0
1 0 1
2 1 0
0 0 2
0 2 2
1 2 1
10 4
2 0 3
1 3 3
3 1 0
2 3 2
2 2 1
1 3 0
0 3 0
3 2 3
2 1 2
3 3 1
10 5
0 3 3
0 0 1
2 2 1
3 0 3
2 3 0
1 2 3
3 0 2
3 0 0
2 3 1
3 2 1
10 5
2 2 0
2 1 1
2 2 1
0 2 0
1 0 1
2 1 0
0 2 1
0 0 2
0 1 1
0 0 1
10 5
3 3 0
1 0 3
2 2 1
2 2 0
0 3 3
1 3 0
0 0 3
2 1 3
2 1 1
2 2 3
10 2
1 0 3
1 1 2
2 1 3
0 0 3
0 1 2
2 2 3
1 0 0
3 0 1
1 2 2
0 3 3
10 8
2 1 0
0 2 1
1 0 0
1 1 2
2 1 1
0 0 0
0 2 0
2 1 2
0 1 2
0 1 0
10 2
2 0 0
1 2 2
1 0 1
0 2 0
2 1 1
2 1 0
0 0 0
2 2 2
1 1 1
2 2 1
10 9
0 2 0
2 0 2
1 0 2
1 2 1
0 1 2
2 2 1
2 0 1
2 0 0
2 1 2
1 0 0
10 4
2 0 1
0 2 1
2 1 0
0 1 0
1 2 1
2 1 1
0 2 2
1 0 0
2 2 2
1 0 2
10 8
0 1 1
3 1 0
2 3 0
2 3 3
2 2 0
3 1 1
3 2 1
0 2 2
3 3 1
2 0 1
10 8
0 0 1
0 2 0
0 2 3
2 2 2
3 1 1
1 2 2
1 3 3
2 1 1
2 0 2
1 0 1
10 4
2 1 2
0 0 3
3 1 0
3 2 0
0 1 2
3 1 1
0 1 0
3 0 3
0 2 0
1 3 0
10 6
1 3 3
3 3 1
0 2 2
1 3 1
2 2 0
3 3 2
0 2 3
3 2 2
2 1 2
1 2 2
10 6
2 0 1
1 0 2
2 0 0
2 2 0
0 0 0
1 1 2
1 2 2
2 0 2
1 0 1
2 2 2
10 8
0 2 0
1 1 2
1 0 0
1 0 2
0 0 2
2 2 0
1 1 0
0 1 1
1 0 1
2 1 1
10 3
2 2 3
3 2 0
2 1 3
1 2 2
0 0 2
1 1 0
2 2 2
2 3 0
3 3 2
2 0 3
10 6
1 0 1
2 1 2
2 0 2
0 1 0
2 1 1
0 1 1
2 2 0
2 0 0
0 1 2
1 1 1
10 2
2 1 2
1 1 0
2 0 0
2 2 0
1 0 2
0 1 1
0 0 0
1 0 0
2 2 1
0 2 0
10 6
1 0 2
0 3 3
1 0 3
0 3 1
3 2 0
3 3 0
3 0 0
2 3 2
2 1 1
3 3 1
10 8
0 1 0
0 0 3
3 3 1
1 1 2
1 3 0
1 0 1
3 3 2
0 0 2
0 3 1
0 0 0
10 9
0 0 3
1 3 3
2 3 1
3 3 0
3 0 3
1 2 2
0 3 0
3 1 2
3 2 0
1 0 3
10 3
1 1 0
2 2 0
0 2 0
1 0 1
0 1 0
1 1 2
1 1 1
2 2 2
1 2 2
0 1 2
10 4
3 2 2
2 0 0
1 1 1
3 3 1
2 3 2
1 3 3
2 2 0
3 0 2
0 1 1
3 0 0
10 3
0 0 2
1 2 2
2 2 0
0 0 1
3 1 2
0 2 0
0 2 1
2 3 3
2 3 2
0 3 2
10 3
3 3 0
3 2 1
2 0 3
1 1 0
1 2 1
0 1 0
0 2 0
1 0 0
0 1 3
2 2 1
10 6
0 0 2
1 0 1
1 2 0
1 1 1
2 0 0
1 2 2
0 1 2
0 0 0
2 0 1
2 1 1
10 3
1 2 2
2 1 2
1 2 1
1 2 0
0 0 2
0 1 2
0 1 0
2 2 2
2 1 0
2 2 1
10 5
2 0 2
3 2 1
2 2 2
1 1 3
0 0 3
1 3 2
0 1 1
3 2 0
1 0 3
2 1 1
10 6
2 0 2
2 3 0
3 1 3
2 1 1
0 3 2
2 3 1
2 3 3
0 3 1
0 2 3
1 1 1
10 3
2 0 3
2 0 0
0 3 1
3 1 3
3 2 2
2 3 3
2 1 2
0 2 1
3 0 3
3 1 2
10 3
1 3 3
3 0 1
1 1 1
0 1 2
3 0 0
3 2 1
0 3 1
0 3 0
2 3 1
3 3 2
10 9
2 1 1
1 1 0
2 1 2
2 0 0
1 0 0
1 2 0
0 2 0
0 0 2
1 0 2
1 0 1
10 5
1 3 1
2 3 1
3 1 2
0 3 0
3 1 3
2 3 0
1 0 3
2 2 0
1 1 1
3 3 3
10 6
0 3 1
3 2 2
0 2 2
3 2 1
1 2 2
3 2 3
2 2 3
1 0 0
2 2 1
3 0 0
10 8
3 0 3
0 1 3
1 3 3
2 1 0
0 1 0
1 0 3
2 3 3
2 1 2
1 2 3
0 2 2
10 7
2 2 0
1 0 1
0 1 0
2 0 2
2 2 2
0 0 2
2 0 1
0 1 1
1 2 0
0 2 1
10 3
1 1 2
0 1 0
1 1 1
0 2 0
2 0 1
2 2 0
2 1 2
2 1 0
2 0 2
2 2 2
10 7
2 0 1
0 0 2
0 2 0
2 2 1
1 2 2
2 2 0
1 1 0
0 2 2
1 0 0
1 0 2
10 2
1 0 1
0 2 3
1 3 0
3 0 1
3 1 2
1 3 3
1 2 3
3 3 2
1 2 0
2 1 3
10 9
3 1 2
1 2 3
2 0 1
2 1 2
3 3 1
1 0 0
0 3 0
0 0 2
3 1 3
2 1 3
10 4
2 3 2
1 2 2
2 2 3
3 1 1
3 0 1
0 1 2
3 0 3
1 1 0
3 3 0
0 2 2
10 3
2 0 2
2 0 1
0 0 1
2 2 0
2 2 1
1 2 2
1 1 2
0 2 0
2 2 2
1 0 1
10 7
0 1 1
1 2 2
2 1 2
2 2 2
0 0 0
1 1 1
0 2 1
0 2 2
0 0 1
1 2 1
10 5
3 3 0
2 0 2
3 0 3
1 0 3
2 0 0
2 1 2
2 2 3
1 2 2
0 2 0
1 0 2
10 8
0 2 3
2 1 0
1 0 3
2 2 1
0 1 3
2 0 1
3 1 2
1 1 1
0 1 2
1 1 3
10 3
1 1 1
2 2 1
2 0 2
1 0 0
1 0 1
1 2 2
0 1 1
0 0 1
2 1 2
0 1 2
10 8
0 1 2
2 1 1
1 0 0
2 1 2
2 1 0
1 1 0
2 2 2
2 2 0
2 0 0
2 0 1
10 5
0 1 2
0 2 0
1 1 0
1 0 0
0 1 0
2 2 2
2 0 0
2 1 0
1 2 2
0 0 0
10 7
1 0 1
1 1 0
2 2 1
0 2 2
0 2 1
2 2 0
2 0 0
1 0 2
0 1 2
1 2 1
10 4
0 0 0
0 0 1
2 2 2
2 2 1
0 2 0
2 0 0
0 1 0
0 2 1
2 2 0
2 1 1
10 7
2 3 0
0 2 1
1 1 0
0 0 0
0 3 2
1 1 1
1 2 3
1 3 2
0 1 2
2 3 3
10 5
3 1 0
3 3 2
1 1 3
1 0 3
3 0 2
1 0 2
0 3 0
2 1 1
1 2 2
0 0 0
10 3
2 2 0
1 0 0
0 2 2
2 0 2
2 1 1
1 2 0
0 2 0
1 1 0
2 0 1
2 2 2
10 6
2 2 0
3 0 1
3 2 3
3 2 2
3 2 1
2 2 3
3 0 3
3 3 1
2 0 3
2 1 3
10 9
2 1 2
0 1 0
1 3 2
3 1 3
2 0 2
1 1 0
0 3 0
0 0 2
0 2 0
1 2 3
10 5
2 2 2
0 2 1
1 1 2
1 1 0
0 0 2
2 1 1
2 2 1
0 1 1
1 0 0
2 0 1
10 5
1 2 1
1 2 0
0 1 0
2 0 0
2 1 0
1 0 0
0 0 1
0 0 0
1 1 2
2 2 0
10 5
1 0 0
0 3 3
2 3 3
0 2 3
1 2 0
2 2 3
1 3 3
1 1 2
0 3 2
0 1 0
10 8
1 2 0
3 3 0
2 0 3
1 3 0
0 0 0
1 2 1
0 3 3
3 3 2
2 1 0
2 2 1
10 5
1 2 1
2 0 3
2 2 1
0 3 2
1 3 2
1 1 1
2 2 3
3 2 0
1 1 3
2 3 3
10 2
0 3 1
1 1 1
2 2 0
3 3 0
3 3 1
1 0 2
1 2 1
3 0 0
0 2 2
0 2 1
10 7
2 0 1
0 2 2
0 2 1
2 1 1
0 0 0
0 0 2
1 2 2
0 1 0
2 2 1
1 1 1
10 2
0 3 3
0 1 1
1 3 3
0 1 0
3 0 3
2 2 0
3 0 1
0 3 0
3 3 0
3 3 1
10 4
3 3 2
2 0 2
0 1 1
3 2 0
2 3 1
3 0 0
0 2 1
1 1 1
0 3 2
0 2 0
10 9
0 0 2
2 1 1
2 3 2
3 1 2
0 3 0
3 1 3
0 0 1
3 0 2
3 1 0
1 0 2
10 4
0 2 1
0 1 0
0 2 0
2 2 0
2 1 0
0 0 0
2 0 0
0 1 2
0 0 2
2 0 2
10 9
3 0 0
0 1 0
1 3 1
3 3 1
1 0 0
2 2 1
0 3 1
1 2 3
2 3 2
2 0 2
10 9
3 0 3
2 2 0
0 0 3
0 1 0
3 0 0
3 3 2
1 1 2
1 1 0
0 2 1
2 0 3
10 2
3 2 2
0 0 1
3 1 2
3 1 3
1 3 3
2 3 1
1 3 1
3 3 1
0 2 0
0 2 2
10 9
2 3 3
3 0 0
2 1 0
1 1 3
3 3 2
3 3 1
3 2 3
2 1 1
3 1 0
3 3 3
10 3
2 2 2
2 2 0
3 2 0
2 3 2
3 0 2
1 2 1
0 3 2
0 2 1
2 2 1
0 1 1
10 3
0 0 1
0 2 0
1 1 1
1 1 0
1 2 1
2 1 2
0 2 1
2 0 1
2 2 2
1 1 2
10 2
3 3 3
0 2 1
1 3 1
2 2 0
3 0 1
1 1 0
0 3 2
1 3 3
1 2 0
1 1 1
10 9
0 1 0
2 1 1
0 0 2
2 1 2
1 2 0
2 2 1
2 1 0
0 1 1
2 0 0
1 2 1
10 2
0 1 2
1 0 0
0 0 2
1 0 1
1 2 1
0 1 1
2 1 0
2 2 2
2 1 1
1 0 2
10 4
3 1 0
0 3 3
1 2 3
1 1 0
3 0 2
2 3 2
0 1 3
1 0 2
1 3 2
2 0 1
10 7
2 0 0
1 0 2
0 1 1
0 0 2
2 1 1
1 1 1
1 0 0
1 2 0
1 2 1
0 0 0
10 9
3 3 0
1 1 1
1 3 0
0 1 1
3 2 3
3 0 3
2 2 3
3 0 0
3 2 2
3 1 1
10 3
1 1 0
2 2 1
1 2 0
2 2 2
0 1 0
1 1 1
1 2 1
2 1 0
0 1 2
0 2 2
10 4
3 3 1
2 3 3
1 2 3
3 2 0
3 0 3
2 2 2
0 2 2
3 1 0
1 1 3
0 3 3
10 7
0 3 2
2 0 1
1 0 0
0 2 3
0 2 2
3 3 3
1 2 1
3 2 2
2 3 0
2 3 2
10 7
1 0 2
0 1 0
0 0 1
1 2 2
0 1 1
1 1 2
2 1 0
1 0 0
2 1 2
1 0 1
10 2
2 0 2
1 0 2
1 2 2
2 2 2
0 1 0
1 2 1
2 0 0
1 1 0
2 0 1
1 1 1
10 4
3 3 1
3 0 0
2 0 2
1 1 1
2 2 0
0 0 0
1 0 0
0 3 2
3 3 2
2 0 0
10 8
1 0 0
0 1 0
2 1 2
1 1 1
1 0 2
1 2 2
0 2 1
1 1 2
0 0 1
0 1 2
10 4
1 2 0
0 2 2
0 2 1
0 0 2
2 1 2
0 1 0
1 1 0
0 0 1
2 1 1
0 1 2
10 6
3 2 2
0 0 0
1 1 3
0 1 0
2 0 2
1 2 1
2 3 3
1 0 3
3 3 1
1 3 2
10 3
3 3 1
1 3 2
1 0 1
0 0 2
2 3 2
3 2 1
0 0 0
2 1 0
1 2 1
0 0 3
10 4
1 2 2
3 0 2
3 3 3
0 1 1
2 2 0
0 2 3
1 2 0
2 2 2
1 0 0
3 1 0
10 7
2 2 0
2 1 2
0 0 1
0 0 2
1 0 2
0 1 0
0 2 1
1 1 0
2 2 2
2 0 2
10 7
2 2 1
2 2 0
2 1 0
0 2 2
0 0 2
0 2 1
0 1 0
1 1 0
1 0 1
1 2 2
10 6
2 1 0
2 2 0
2 1 2
2 0 0
0 1 0
1 1 2
0 0 2
2 1 1
0 2 2
1 2 0
10 5
1 0 1
2 2 1
1 2 2
2 0 0
1 2 1
1 2 0
0 2 2
1 1 2
0 1 2
2 0 1
10 7
2 1 0
1 2 0
0 1 2
2 2 0
0 2 1
0 0 1
2 1 2
1 0 2
1 2 2
2 2 1
10 4
0 3 3
1 3 1
1 1 0
1 2 3
3 2 0
0 1 3
2 2 3
0 2 0
1 3 2
0 2 2
10 6
2 3 3
2 2 2
0 2 3
0 3 0
1 3 1
3 1 2
2 1 0
3 0 2
1 1 3
1 3 0
10 6
2 0 1
2 2 2
1 1 1
1 2 0
0 0 0
2 1 2
2 1 1
0 1 1
1 0 2
1 1 0
10 4
0 2 2
1 2 3
0 1 3
0 3 3
1 1 0
1 0 2
3 2 0
3 0 0
3 0 3
0 0 0
10 2
0 1 2
1 0 2
2 1 2
2 0 2
0 1 0
1 2 1
2 2 0
2 2 2
0 2 1
1 1 0
10 4
1 0 3
1 1 1
1 0 0
0 1 0
2 1 0
2 3 3
1 2 3
1 2 0
3 2 3
0 3 1
10 9
0 2 0
0 0 2
1 2 2
1 2 1
0 2 2
2 0 2
0 0 0
1 1 1
2 2 1
0 1 1
10 9
1 1 3
0 1 2
1 3 2
0 0 2
2 1 3
3 1 3
1 2 2
3 2 2
0 1 3
2 2 1
10 8
0 2 1
2 0 1
1 0 0
0 2 0
2 1 1
1 1 0
2 1 0
2 1 2
1 1 2
2 0 0
10 4
0 1 1
0 2 0
2 0 0
0 1 2
1 2 0
0 2 1
1 0 2
1 1 0
1 0 1
2 2 0
10 6
2 1 1
3 3 1
2 3 0
0 3 2
1 3 3
2 3 1
0 2 2
2 1 3
3 0 1
0 2 3
10 7
0 2 1
3 2 1
2 2 0
1 2 0
1 1 1
3 0 0
2 0 3
1 0 0
0 0 0
2 0 0
10 5
3 0 3
2 0 0
2 0 3
1 0 3
2 3 0
2 3 3
0 2 3
2 1 0
2 0 2
1 2 2
10 8
2 0 2
1 1 0
1 2 2
0 0 2
2 2 2
2 1 0
2 0 0
2 2 0
1 0 2
1 2 0
10 5
0 2 1
1 0 3
1 2 3
3 2 1
2 0 2
3 2 3
2 1 1
0 0 3
3 3 3
1 2 1
10 3
0 1 1
1 0 0
1 0 1
1 1 0
1 2 0
2 2 2
1 0 2
2 0 0
2 0 2
0 0 2
10 5
0 2 2
2 1 2
2 1 1
1 1 2
2 1 0
0 1 0
0 2 1
0 0 0
1 2 1
2 0 0
10 2
0 2 2
0 0 0
1 2 0
1 1 0
1 0 1
2 2 0
2 0 2
0 1 2
1 2 1
2 0 1
10 7
3 3 0
3 0 2
3 1 0
0 2 2
2 3 3
1 3 1
1 3 3
1 1 2
2 2 0
3 3 3
10 4
1 1 0
2 0 1
0 0 1
0 2 0
1 0 2
1 0 1
0 1 2
1 2 2
1 1 2
1 2 1
10 9
2 1 2
2 0 0
0 1 0
1 1 2
2 2 1
1 1 0
2 1 0
1 2 2
0 0 0
0 1 2
10 2
1 1 3
1 1 0
2 2 3
1 1 2
2 2 2
3 3 1
2 1 1
2 3 0
3 0 2
0 2 1
10 7
0 2 0
1 3 3
0 3 1
1 0 0
1 3 1
0 1 3
0 3 0
1 1 2
3 0 1
2 2 3
10 6
3 2 2
0 0 0
1 1 2
1 2 3
1 2 1
1 2 0
3 0 0
2 1 2
2 0 0
3 1 2
10 2
2 2 2
1 3 2
1 2 2
3 1 1
1 1 2
1 0 3
2 0 3
0 2 3
2 2 3
3 1 2
10 6
2 2 1
2 1 0
0 2 2
2 1 2
0 0 2
1 1 1
0 1 1
0 1 2
2 0 1
1 2 2
10 6
1 2 2
2 2 1
1 1 0
2 0 2
0 2 1
0 0 0
1 0 0
2 0 1
2 2 0
0 1 1
10 8
1 0 1
0 2 0
2 0 0
1 0 2
2 2 1
2 0 2
2 1 0
0 0 0
0 1 1
1 1 1
10 5
2 0 0
1 2 1
1 0 2
1 1 2
0 0 1
0 0 0
0 1 0
1 2 2
0 2 0
0 1 1
10 2
2 0 1
2 1 1
1 2 1
1 0 1
2 2 0
2 1 2
0 0 1
0 1 0
0 0 2
0 2 0
10 3
0 1 2
0 0 0
0 1 1
1 1 0
2 1 0
1 1 2
1 2 0
0 1 0
0 0 2
1 2 2
10 7
1 2 2
0 2 1
1 0 3
0 0 1
3 1 1
3 0 0
1 3 1
0 0 0
3 2 0
3 3 0
10 4
0 2 3
2 2 0
2 3 0
1 1 1
3 3 1
2 0 2
1 1 2
1 2 3
0 3 0
2 3 2
10 8
1 1 2
2 3 0
0 3 2
0 2 3
2 0 0
3 0 0
3 2 1
3 0 2
0 0 0
1 3 2
10 7
2 1 2
0 1 0
1 0 1
0 1 2
1 0 2
1 2 0
0 0 1
2 0 0
1 0 0
0 2 1
10 3
1 1 2
0 2 1
1 0 2
2 2 2
0 2 2
2 2 0
0 1 2
2 1 0
1 2 1
2 0 0
10 8
0 1 2
1 1 0
0 1 0
1 2 0
2 1 2
1 1 1
1 2 2
0 1 1
1 0 2
2 1 0
10 8
1 2 0
2 1 1
0 1 2
1 1 2
2 0 2
1 2 1
2 2 2
1 0 0
1 2 2
0 2 2
10 4
2 0 2
0 1 0
1 0 2
2 2 0
0 2 0
1 2 0
0 2 2
0 2 1
1 1 2
2 2 1
10 3
1 0 2
1 1 2
2 0 0
1 3 2
1 3 1
0 1 0
1 1 0
3 1 0
3 3 2
2 3 1
10 9
3 0 0
2 2 2
3 2 0
0 0 3
0 3 2
0 3 1
3 1 2
3 3 0
1 2 1
1 0 2
10 3
0 0 0
0 0 2
1 0 0
0 2 0
1 2 2
2 1 0
0 1 2
1 1 2
1 2 0
0 2 2
10 7
1 1 2
2 1 1
1 2 1
2 1 0
1 2 0
1 0 1
0 0 0
0 2 0
0 1 2
2 1 2
10 4
1 1 3
2 0 3
1 1 0
0 1 0
0 1 2
1 3 2
0 2 2
2 1 2
1 1 2
2 2 1
10 2
1 1 2
0 1 1
0 2 0
1 2 2
2 1 1
2 1 2
2 2 1
0 2 2
1 2 0
0 1 2
10 9
1 1 2
0 0 2
0 0 0
2 2 1
1 0 0
0 2 2
2 0 0
0 1 0
2 1 1
2 1 2
10 8
2 2 3
0 0 3
1 1 1
2 3 0
0 1 2
0 0 1
1 2 2
1 3 1
0 2 3
0 1 3
10 7
0 0 0
2 0 0
0 2 2
0 2 1
2 1 2
2 1 1
1 1 1
0 0 2
1 0 2
0 2 0
10 7
0 2 1
1 1 2
1 2 0
1 2 1
1 0 1
0 1 0
2 0 2
1 1 1
2 1 2
0 0 0
10 9
1 1 2
0 2 3
3 1 0
1 0 0
0 0 1
2 2 1
3 2 2
1 2 3
1 1 1
1 3 3
10 4
0 2 0
2 0 0
2 1 0
2 1 1
0 1 0
0 1 2
1 2 1
0 2 2
0 1 1
1 1 1
10 7
0 2 1
0 1 2
1 0 0
1 1 2
2 0 0
0 0 2
0 1 0
1 0 1
1 1 1
0 0 1
10 6
0 0 2
1 1 0
0 1 2
2 2 1
1 1 1
2 2 2
0 1 1
0 2 0
2 1 1
2 2 0
10 5
0 2 0
1 2 2
2 2 2
1 0 1
0 1 2
1 1 0
0 0 0
2 1 1
1 1 2
2 0 2
10 8
1 2 1
0 1 2
2 1 0
0 1 0
0 2 0
1 0 2
1 0 1
1 1 0
0 2 2
1 2 2
10 3
1 2 0
2 1 2
0 0 2
0 0 0
1 1 1
0 0 1
1 0 0
2 1 1
2 0 0
0 1 0
10 4
1 2 2
1 1 2
3 3 3
3 1 1
2 3 3
3 3 0
3 0 0
1 3 3
3 0 1
2 0 1
10 6
3 2 0
0 1 1
3 2 1
0 0 0
2 3 0
2 0 0
2 3 3
2 2 3
3 0 2
3 0 3
10 2
0 1 3
1 0 3
3 2 2
1 3 2
1 1 2
1 0 2
0 3 1
3 3 0
2 3 3
0 2 2
10 4
2 0 0
2 0 1
2 1 0
2 1 1
0 0 2
0 1 0
1 0 1
1 1 0
0 1 1
0 2 0
10 4
2 0 2
1 3 1
0 2 1
1 2 2
2 1 1
1 3 3
0 2 0
0 0 2
2 1 2
2 3 0
10 4
1 1 0
3 0 3
0 1 0
3 0 0
2 0 0
3 3 1
1 0 1
2 3 1
2 1 2
0 1 3
10 4
3 1 1
1 3 2
1 1 0
2 0 1
2 0 2
0 0 1
1 3 3
0 2 3
0 2 2
3 1 0
10 4
1 1 1
0 3 1
0 0 3
0 1 3
2 3 0
0 2 0
0 0 0
0 2 3
0 0 2
2 0 1
10 9
0 1 1
2 2 0
2 1 1
1 0 2
0 0 1
1 0 0
2 2 2
1 1 2
2 1 2
0 1 2
10 3
2 1 2
2 1 0
1 1 1
0 1 1
0 2 2
1 2 0
2 2 0
1 2 1
2 0 2
0 1 0
10 2
1 0 2
1 1 0
1 2 0
2 0 2
0 0 0
2 2 0
1 2 1
2 2 1
0 2 2
0 2 0
10 7
2 0 1
1 1 1
0 0 1
0 0 0
2 1 1
2 2 2
1 1 0
2 1 0
2 1 2
1 2 1
10 5
1 0 1
3 2 0
3 3 3
0 1 3
0 3 0
0 3 1
0 3 2
2 3 3
2 3 1
0 2 2
10 5
3 2 1
0 3 1
3 3 2
2 2 2
0 0 0
3 3 3
2 3 3
3 0 3
2 0 3
3 0 0
10 6
1 2 0
2 0 2
3 2 1
2 3 1
3 1 0
0 2 1
2 0 1
0 3 0
2 3 3
3 2 0
10 6
2 2 0
1 1 0
1 0 0
1 1 2
1 0 1
2 0 2
0 0 1
0 1 1
0 1 2
1 1 1
10 8
2 0 0
1 2 0
1 1 1
2 2 0
0 0 2
2 2 1
2 1 0
0 1 0
1 0 1
1 2 2
10 8
1 1 0
2 1 0
2 1 1
1 2 0
0 0 1
2 0 1
0 1 0
1 0 0
2 2 0
0 2 0
10 3
0 1 2
0 1 0
1 0 1
2 1 1
0 2 1
1 1 2
1 1 0
2 2 1
1 2 1
1 2 0
10 2
0 2 2
0 0 1
2 0 1
1 2 2
1 2 1
0 2 0
3 1 2
3 3 2
2 3 2
0 1 0
10 3
2 3 3
0 1 2
2 2 1
1 2 1
1 2 2
2 0 3
0 0 0
0 3 0
3 3 0
1 3 3
10 5
2 1 3
0 1 2
1 2 1
3 2 3
1 3 1
1 0 0
2 0 0
2 3 0
1 0 2
0 0 3
10 5
1 1 3
2 0 2
0 2 2
1 0 3
3 3 0
1 3 2
0 2 3
2 2 0
3 0 0
0 3 1
10 5
0 2 0
1 0 2
2 1 0
0 1 1
2 0 2
1 1 2
2 0 0
2 2 1
1 2 1
1 2 0
10 3
2 1 2
2 2 1
1 2 1
2 0 1
1 1 2
0 2 2
2 1 1
1 2 0
2 2 0
1 1 1
10 6
3 1 2
0 2 2
0 2 3
2 1 2
3 1 3
1 0 1
2 2 2
1 2 3
2 3 3
1 1 1
10 9
1 2 2
2 1 2
2 1 0
1 0 0
0 0 1
1 1 1
0 1 2
0 1 1
1 2 1
2 2 2
10 6
3 3 2
0 0 3
2 1 2
3 3 1
2 1 0
3 3 0
1 0 3
1 3 3
0 3 2
2 0 3
10 8
1 1 0
0 0 2
0 0 3
2 1 0
2 1 2
2 0 3
0 0 0
2 3 1
2 2 2
3 1 3
10 6
3 1 0
2 3 0
1 0 0
3 3 2
1 1 3
3 2 0
0 2 1
3 1 2
3 3 3
2 1 0
10 9
2 1 2
3 3 0
1 0 1
0 3 2
3 1 0
3 0 1
0 1 1
3 0 3
3 3 2
3 1 3
10 9
0 2 2
2 3 3
0 1 1
0 3 0
2 3 1
1 2 2
1 1 2
1 3 1
2 3 2
2 0 3
10 3
3 2 2
3 0 2
0 0 0
2 0 3
3 0 3
2 3 1
0 1 1
2 2 1
0 3 0
3 2 3
10 2
1 1 0
1 0 0
1 2 1
0 2 0
2 2 1
2 1 1
1 0 2
0 0 1
1 0 1
2 0 2
10 8
0 1 1
1 1 0
1 0 0
2 0 1
2 2 2
1 2 1
2 1 2
0 2 1
1 1 1
0 1 2
10 3
2 1 1
3 0 1
2 0 2
3 1 0
0 1 0
0 3 2
3 3 3
3 0 0
2 0 3
2 3 1
10 2
0 1 0
1 1 1
3 3 2
0 1 2
0 2 3
1 1 3
3 0 1
1 2 2
1 2 1
0 3 3
10 7
2 3 2
3 3 1
3 3 2
0 0 1
2 0 0
3 3 3
2 1 0
2 0 1
2 0 3
2 1 2
10 8
2 3 3
2 2 0
0 3 0
3 0 2
1 1 1
0 2 1
1 0 0
3 3 3
3 1 1
0 1 1
10 9
0 1 0
0 0 1
2 2 2
0 0 2
0 1 2
2 1 1
1 1 2
1 2 0
0 1 1
1 2 2
10 5
0 1 0
0 1 1
0 2 0
2 1 2
1 0 2
2 0 2
0 0 0
1 2 0
1 1 1
1 0 0
10 2
3 3 1
1 1 3
2 0 3
1 2 3
0 3 0
3 0 2
3 0 3
0 3 2
3 3 3
3 1 0
10 7
0 1 2
0 2 1
1 0 2
2 2 0
1 0 0
1 1 0
0 0 1
0 0 2
1 2 0
1 2 1
10 3
2 0 1
0 0 2
2 1 2
1 0 0
2 2 1
2 1 0
0 1 2
0 0 1
0 1 0
1 1 0
10 7
2 1 0
1 0 0
2 1 1
0 0 2
2 0 0
0 2 0
2 2 0
1 2 1
1 1 0
2 0 2
10 5
3 2 1
3 3 3
0 3 3
3 3 0
2 1 2
3 3 1
2 0 0
3 2 0
0 3 2
0 0 2
10 7
1 2 2
2 1 0
1 2 0
0 1 1
2 1 1
0 1 2
1 1 2
0 0 0
1 1 0
2 0 1
10 4
1 2 0
0 2 2
0 2 0
1 1 1
0 0 1
2 0 1
1 0 0
1 1 0
0 1 0
1 0 1
10 7
3 1 1
1 0 0
1 1 2
0 0 3
3 2 0
2 2 1
0 1 3
0 3 1
0 0 1
3 0 2
10 3
1 0 0
1 2 2
2 2 2
1 1 0
2 0 2
0 0 0
2 0 1
0 2 0
0 2 2
1 0 1
10 2
3 1 1
3 3 2
2 0 0
2 2 2
0 1 3
0 3 0
0 1 2
3 0 0
2 0 2
0 0 2
10 3
3 3 1
2 2 1
0 0 3
3 0 2
0 2 1
3 0 3
3 2 0
2 2 2
0 0 2
2 2 3
10 4
1 2 2
3 2 0
3 2 1
2 1 3
2 2 0
2 0 3
3 3 1
3 2 2
1 3 1
1 1 0
10 8
2 1 3
1 2 0
2 3 2
0 3 3
2 2 0
0 2 1
2 2 3
2 2 1
2 3 1
2 1 1
10 8
1 2 2
0 2 2
0 0 3
1 3 2
2 3 0
1 3 0
3 1 1
3 2 2
2 0 0
1 0 3
10 5
0 1 0
2 2 1
2 1 2
1 1 0
2 1 0
2 0 1
0 0 2
2 1 1
1 0 0
1 0 2
10 8
2 2 1
0 1 0
0 0 1
1 0 2
0 1 2
0 0 2
1 1 0
0 2 0
0 0 0
2 1 0
10 6
0 2 1
2 0 2
0 1 0
2 2 0
2 1 2
1 1 1
0 2 2
0 1 1
0 2 0
1 0 0
10 9
3 3 1
2 1 2
1 3 3
3 3 0
2 2 2
1 0 2
3 0 3
1 0 0
0 3 1
3 0 1
10 6
1 1 1
0 2 2
3 1 3
0 0 1
1 3 2
2 1 0
2 3 1
2 2 2
0 1 1
2 3 0
10 3
3 1 3
0 3 1
2 2 2
3 0 0
0 2 3
3 2 3
0 2 2
0 1 2
1 1 2
2 3 3
10 8
0 1 2
0 2 1
1 2 1
0 2 0
1 1 0
2 2 0
2 0 2
2 1 2
0 1 1
2 0 0
10 2
1 1 2
0 2 1
1 1 1
1 1 0
2 1 1
1 0 1
1 2 2
2 0 1
0 1 2
1 0 0
10 6
3 0 3
1 0 0
3 0 1
2 0 2
0 0 2
2 1 0
2 2 2
1 3 2
2 3 2
3 3 1
10 4
0 1 2
2 1 0
1 0 0
1 0 1
0 2 2
0 0 0
2 0 2
0 1 1
1 2 2
2 2 1
10 5
1 1 1
0 2 2
2 2 1
1 2 1
1 2 0
0 0 0
0 2 0
2 0 0
1 0 0
1 2 2
10 2
3 0 0
0 3 0
1 0 2
0 1 0
3 3 3
3 2 2
3 2 1
1 0 1
1 3 3
2 0 2
10 8
1 0 1
2 1 0
1 2 3
2 2 0
3 2 0
1 0 2
0 3 1
3 0 2
0 1 3
3 2 1
10 8
2 3 0
1 2 2
0 3 1
1 0 3
3 0 1
2 3 3
0 0 2
1 3 1
3 1 2
2 3 1
10 6
3 0 0
0 2 3
0 0 1
0 3 2
3 0 2
0 1 3
1 2 3
2 1 1
0 0 3
2 0 2
10 3
2 2 1
1 3 1
3 0 0
0 2 1
2 1 2
0 0 0
1 1 1
2 2 3
1 0 0
2 2 2
10 4
3 0 0
3 1 2
0 2 1
3 0 2
2 0 0
1 0 0
0 1 2
0 0 2
0 3 2
1 2 2
10 9
2 2 2
2 0 1
2 0 2
2 2 0
2 2 1
1 0 2
0 1 0
2 0 0
0 2 0
1 1 2
10 3
2 0 0
2 0 1
0 1 0
0 0 1
0 0 0
2 1 1
2 0 2
0 2 0
1 2 2
0 1 2
10 9
2 1 2
1 0 1
0 0 2
0 2 0
0 1 2
3 2 1
3 2 3
1 2 0
2 3 2
1 3 0
10 2
2 1 0
2 1 1
0 1 2
1 0 0
2 2 1
0 2 1
2 0 2
0 1 0
2 1 2
0 0 0
10 9
2 0 0
2 2 1
1 2 2
1 1 2
2 0 1
1 0 0
0 1 1
0 0 0
1 0 1
1 1 1
10 5
0 0 3
2 3 2
3 2 3
3 3 0
0 2 1
2 0 0
0 0 0
3 0 1
1 3 0
2 0 1
10 4
1 2 0
1 0 2
2 1 1
1 2 3
2 3 0
0 0 0
1 0 3
0 3 2
0 1 0
2 0 0
10 8
2 2 2
1 0 1
2 2 0
1 2 0
1 0 0
1 1 0
0 1 1
1 1 2
0 1 2
0 0 1
10 9
1 2 2
1 0 0
0 0 2
1 2 1
1 0 2
0 0 0
1 1 0
1 0 1
2 1 1
0 2 2
10 9
1 1 2
1 1 0
2 0 0
0 2 0
0 2 2
2 0 2
0 2 1
2 1 1
2 0 1
1 2 0
10 2
1 3 0
0 3 2
3 3 1
0 3 0
2 3 0
0 2 0
2 3 3
0 2 2
2 1 0
1 2 0
10 4
3 2 2
2 3 3
1 0 2
2 1 0
0 1 3
1 1 0
1 0 1
1 1 2
1 2 1
3 1 1
10 9
2 0 3
1 2 3
0 2 2
2 1 2
1 3 2
0 0 2
3 1 1
3 2 2
2 0 2
3 3 2
10 4
3 0 0
2 3 1
2 0 3
2 3 3
3 3 3
1 0 3
1 2 3
3 3 2
0 3 1
1 2 1
10 4
2 0 3
2 3 3
2 3 2
2 0 0
3 1 3
2 1 1
0 2 3
0 2 2
3 3 0
2 1 2
10 2
3 3 1
0 2 2
0 2 1
2 0 3
1 0 2
1 3 3
0 3 3
2 2 0
2 0 0
2 2 1
10 4
2 0 0
0 1 1
1 1 2
0 0 0
0 1 0
2 0 1
1 1 1
0 2 0
1 0 0
2 1 1
10 6
1 0 0
3 3 2
3 3 1
1 0 3
0 2 2
2 0 0
0 0 2
3 1 3
2 0 1
3 2 1
10 5
1 1 0
0 1 2
0 2 1
1 2 2
2 1 2
2 0 0
2 1 0
2 1 1
1 2 0
0 2 0
10 3
2 0 1
2 1 0
2 2 2
2 0 0
1 1 0
0 2 2
1 1 1
2 0 2
1 2 1
1 1 2
10 4
2 0 1
2 3 3
0 1 1
1 2 0
2 3 1
0 2 0
1 3 1
3 0 1
2 2 0
0 2 2
10 8
0 1 1
0 0 2
1 2 0
1 0 1
0 2 2
0 0 0
0 2 1
2 1 0
2 0 1
0 2 0
10 2
0 2 2
1 3 1
2 0 1
1 2 3
3 3 1
0 3 0
2 3 3
2 1 1
0 0 2
3 3 0
10 3
3 2 2
0 1 2
2 2 2
2 2 3
2 3 0
3 3 3
0 2 0
2 0 1
3 0 3
2 0 0
10 2
3 1 0
0 0 1
1 3 2
1 3 3
2 0 0
0 1 2
1 0 1
1 1 1
2 3 2
1 0 2
10 7
1 2 1
2 2 2
0 1 1
2 1 1
2 1 2
2 2 0
0 1 0
0 2 1
0 2 2
1 1 2
10 2
3 1 0
2 1 1
2 3 0
3 3 0
0 3 0
2 1 3
0 3 2
1 1 0
3 2 0
1 0 0
10 4
0 1 0
3 1 1
3 3 1
2 0 0
1 2 2
2 0 2
2 2 2
1 0 0
3 1 0
2 1 3
10 8
3 1 1
0 3 0
3 3 2
3 3 1
1 3 2
0 2 2
0 1 3
3 1 2
2 1 0
2 1 1
10 3
2 2 2
2 2 1
1 2 2
1 1 2
2 0 2
0 2 0
2 1 2
2 0 0
1 1 1
1 0 0
10 5
0 1 2
0 2 0
0 2 2
2 1 0
1 0 2
1 0 1
2 0 1
0 1 0
0 0 0
1 0 0
10 4
0 0 2
3 1 0
0 2 3
2 2 0
0 3 1
2 3 1
2 2 2
3 3 0
2 3 0
2 2 3
10 8
1 3 0
0 1 1
1 0 1
0 2 1
1 3 1
3 3 2
2 3 3
3 2 2
1 2 3
3 3 1
10 3
2 1 2
2 2 1
0 2 2
2 1 3
1 0 3
1 0 1
3 3 0
3 2 2
2 0 0
1 1 2
10 8
3 0 0
2 2 2
1 0 3
1 2 2
3 3 1
2 1 3
1 2 0
2 0 1
1 1 1
0 3 3
10 7
0 2 2
2 2 0
3 1 0
1 2 3
0 2 3
2 3 1
3 1 2
3 2 3
1 3 2
1 2 0
10 6
2 0 2
0 2 0
2 1 1
0 0 2
1 0 1
1 1 2
2 0 0
0 1 2
2 2 2
2 2 1
10 5
0 1 0
3 3 2
0 0 2
3 2 2
1 0 1
2 3 2
1 3 2
1 1 1
2 0 0
3 3 0
10 4
3 2 1
3 0 0
3 3 1
0 0 2
0 2 3
2 2 1
1 3 1
0 0 0
3 2 2
1 2 1
10 7
0 3 3
2 3 3
1 0 0
2 1 3
3 3 3
2 0 2
0 2 3
1 3 3
2 3 1
3 0 0
10 3
0 1 1
2 0 1
0 3 0
1 2 3
1 0 3
3 3 1
2 2 0
2 3 2
3 0 2
0 0 1
10 6
1 1 2
1 1 0
1 2 1
2 2 0
0 2 0
2 1 0
2 0 1
0 0 1
1 2 2
2 2 2
10 5
0 3 2
0 1 0
3 1 3
1 3 2
3 2 1
2 2 3
1 3 0
2 3 1
3 3 2
0 1 1
10 4
1 2 1
2 1 0
0 1 1
1 0 2
0 1 2
2 1 2
2 1 1
1 2 0
1 1 2
1 0 1
10 3
0 1 2
1 1 2
1 1 0
1 2 0
0 2 2
0 1 1
0 1 0
2 2 0
2 0 0
2 2 2
10 8
1 0 0
0 2 2
2 0 0
0 0 2
0 0 0
2 1 2
1 2 2
1 1 1
0 2 1
2 1 1
10 7
1 0 1
1 2 0
2 2 2
0 2 0
0 2 1
1 0 2
1 0 0
2 0 1
2 0 2
2 2 0
10 3
1 2 1
0 1 0
0 2 0
0 0 1
2 2 1
1 2 2
2 2 2
0 2 1
2 1 2
1 0 0
10 9
1 2 1
0 1 1
2 2 0
2 0 1
2 1 2
0 1 0
2 2 1
2 0 2
2 1 1
0 1 2
10 5
1 2 1
1 0 0
2 2 0
0 0 2
1 1 2
1 2 2
2 1 2
0 2 2
2 0 0
0 1 1
10 9
0 0 2
2 1 1
1 0 1
0 2 1
2 0 1
0 0 1
0 1 0
0 1 1
0 2 2
0 0 0
10 9
2 2 0
1 1 1
0 0 3
1 3 0
2 1 2
1 1 0
2 0 2
1 2 0
3 2 1
0 3 1
10 5
2 0 2
0 1 0
0 0 2
1 0 0
0 0 3
0 1 3
0 2 1
2 2 1
2 3 3
2 1 2
10 7
2 0 3
0 1 3
3 2 1
2 2 3
2 2 2
3 3 2
2 3 2
1 0 2
0 2 1
2 0 1
10 6
1 0 1
0 3 3
0 3 0
3 1 2
0 1 2
3 1 1
1 0 2
1 3 0
2 0 2
1 1 0
10 3
2 0 2
0 0 3
2 0 0
0 2 1
2 2 3
3 2 1
1 3 1
2 3 3
2 1 3
3 1 1
10 3
3 3 3
0 3 1
3 1 2
1 0 2
1 2 3
0 1 3
2 1 2
2 0 1
3 2 2
2 2 1
10 6
0 0 2
1 1 2
2 2 0
1 0 0
1 2 1
2 1 2
2 0 1
2 1 1
2 2 2
2 1 0
10 9
3 1 1
0 3 1
1 0 2
0 0 3
3 3 1
1 0 0
2 3 1
2 2 3
2 1 3
3 2 2
10 3
1 2 2
2 2 0
1 0 0
1 0 2
1 1 1
1 1 0
0 0 0
2 1 0
0 2 1
0 1 2
10 7
0 0 3
3 1 2
3 0 0
2 0 2
0 2 0
3 2 1
1 2 0
1 1 1
2 0 1
1 3 0
10 9
1 3 0
2 2 2
0 1 0
3 1 0
1 1 1
0 2 3
0 1 3
1 1 3
2 1 0
1 2 3
10 6
2 2 2
2 0 0
1 1 1
1 0 1
2 0 1
0 2 2
1 0 2
0 2 1
0 1 0
1 1 2
10 7
1 2 1
1 0 1
1 2 2
0 0 1
0 0 2
2 0 1
1 1 2
0 1 1
2 0 0
2 1 1
10 3
1 0 1
0 1 1
2 1 2
0 2 1
1 1 1
2 2 0
2 1 1
2 2 1
0 2 2
1 2 1
10 9
1 0 2
2 2 0
1 0 1
2 0 1
2 1 0
0 2 0
2 0 2
1 1 2
0 1 2
2 2 2
10 4
0 1 2
2 2 1
3 3 3
2 1 0
3 3 2
3 3 0
1 2 1
3 1 0
3 0 1
1 1 1
10 2
2 1 0
0 1 0
1 1 1
2 2 0
2 1 2
2 0 2
1 0 1
2 0 0
0 0 2
0 1 1
10 9
2 2 3
1 3 1
3 3 0
2 2 0
3 0 0
1 0 2
2 3 3
3 2 2
0 3 3
1 1 1
10 4
2 2 3
2 1 2
1 0 2
3 3 1
1 0 3
1 1 0
0 1 3
1 1 1
3 0 1
3 2 3
10 7
1 0 3
2 2 1
1 1 2
1 1 3
2 3 3
2 0 1
0 3 0
3 3 1
2 0 0
1 0 0
10 2
2 0 2
1 0 0
2 1 0
1 1 2
2 0 0
1 0 2
0 1 2
2 1 2
2 1 1
0 0 2
10 2
1 2 1
2 0 1
2 0 2
2 2 0
1 1 0
2 1 0
1 1 2
1 2 0
2 0 0
0 2 0
10 9
0 1 0
1 0 1
1 0 2
0 2 1
2 0 2
2 0 0
0 1 2
2 0 1
2 1 2
0 2 2
10 3
1 1 1
1 0 0
2 2 2
2 1 0
0 2 1
1 1 0
0 0 1
0 0 0
1 2 1
0 2 2
10 2
2 2 0
2 2 1
1 0 1
1 1 2
1 0 2
0 2 1
2 0 1
1 1 1
1 0 0
0 0 0
10 6
0 3 2
3 2 1
0 0 0
0 0 3
2 2 3
2 2 0
1 3 3
3 2 2
1 0 0
1 2 0
10 4
0 3 2
3 1 0
2 2 1
0 2 1
3 0 2
3 3 3
2 0 1
1 0 1
2 0 2
2 3 2
10 6
2 0 1
1 1 2
2 2 1
1 0 0
2 0 2
2 1 1
2 2 0
2 0 0
0 0 1
0 1 1
10 8
1 2 2
2 0 2
0 0 2
1 2 0
2 0 0
2 1 2
0 1 2
1 2 1
2 2 1
2 1 0
10 8
2 1 2
0 1 0
1 1 1
0 0 2
2 2 2
0 1 2
1 2 2
1 0 1
1 1 2
2 2 0
10 3
2 2 0
1 2 1
1 0 3
0 2 2
1 1 1
1 3 2
1 3 3
2 3 1
2 2 1
2 1 3
10 7
0 1 2
2 1 1
1 0 3
0 2 1
2 0 1
1 2 2
3 3 2
1 3 3
2 0 0
3 2 0
10 4
3 0 1
3 2 2
0 0 1
2 1 2
2 3 3
3 1 2
0 2 1
3 1 0
2 3 2
1 2 3
10 3
1 0 2
1 2 1
2 2 2
2 2 0
0 2 1
1 1 0
0 1 0
2 2 1
1 2 0
1 1 1
10 8
0 0 0
0 1 0
0 0 1
1 1 1
2 0 1
0 1 2
1 2 1
1 1 2
1 0 0
1 2 2
10 4
1 2 1
1 1 0
1 3 0
2 3 0
3 3 2
1 1 3
0 3 3
1 3 3
2 2 3
0 3 1
10 4
1 1 2
0 1 0
1 2 1
1 0 2
1 0 1
0 2 0
1 1 0
1 1 1
0 1 1
0 0 0
10 6
2 3 1
0 0 1
2 0 3
2 1 2
3 1 3
2 1 1
2 3 2
1 0 1
2 2 1
0 0 2
10 5
1 2 2
1 0 2
0 0 1
0 1 2
2 0 2
1 2 0
2 0 1
0 0 0
1 1 0
2 2 1
10 7
2 1 1
1 0 3
2 2 2
1 1 1
2 2 0
3 0 1
1 1 2
2 1 2
1 1 0
1 2 3
10 8
2 2 2
2 0 0
0 2 1
1 2 1
0 2 0
0 0 1
2 2 0
0 2 2
0 1 2
2 1 0
10 2
2 3 2
0 0 0
3 3 2
3 0 1
1 0 1
1 3 2
2 1 1
0 1 1
1 0 0
2 0 0
10 3
0 1 1
1 2 2
1 2 0
2 1 1
1 2 1
0 2 1
0 0 2
0 0 0
1 0 1
1 0 2
10 5
1 1 0
1 2 0
1 1 1
0 1 0
1 2 1
0 1 1
1 2 2
2 2 2
2 0 2
1 0 0
10 2
1 2 1
0 1 2
0 0 2
0 1 0
1 1 2
2 0 0
2 2 0
2 0 2
0 2 1
1 1 1
10 9
3 2 0
2 2 0
2 0 0
2 2 2
0 2 0
1 2 0
2 1 3
2 1 0
0 2 3
2 2 3
10 4
1 2 0
2 2 0
2 1 2
0 1 0
0 1 2
0 0 1
2 2 1
2 0 2
0 0 2
0 2 2
10 8
0 3 2
0 2 2
0 1 0
3 0 3
3 0 2
0 1 2
3 3 3
1 0 3
3 3 0
1 3 3
10 9
0 1 2
2 2 2
0 0 1
0 2 0
2 1 2
1 0 2
2 1 0
1 0 1
0 0 2
1 1 0
10 6
1 0 1
1 1 2
1 2 2
1 2 1
0 0 2
1 1 1
0 1 0
2 2 1
2 1 2
2 2 0
10 7
0 0 3
2 0 3
1 2 1
0 2 0
2 1 1
1 3 3
3 2 0
0 3 1
1 1 3
2 0 2
10 2
3 0 1
0 0 2
0 3 2
2 0 3
3 0 3
0 2 0
1 2 3
1 3 1
1 0 2
1 0 3
10 8
2 0 1
1 1 2
1 1 0
2 0 0
0 2 2
2 2 2
1 1 1
2 1 2
1 0 1
0 0 2
10 4
1 0 1
0 2 2
1 2 0
0 0 1
2 2 2
0 2 1
1 2 2
2 0 1
2 1 1
1 0 2
10 7
0 1 1
1 0 2
2 0 1
1 1 2
1 1 1
1 1 0
2 2 1
2 1 1
0 0 1
2 2 2
10 4
1 0 1
0 2 1
0 0 2
2 2 1
2 0 1
2 1 2
0 0 1
2 0 0
2 1 1
1 2 2
10 2
2 0 0
2 0 1
0 0 0
1 2 2
2 1 1
1 1 0
2 1 0
0 0 2
2 0 2
1 1 1
10 3
3 2 2
3 2 3
2 2 1
2 2 0
2 0 3
3 0 1
3 3 3
0 1 2
2 1 3
3 1 3
10 2
0 0 2
2 2 2
3 1 0
0 2 3
2 2 1
2 1 0
1 1 3
0 3 2
2 3 0
1 0 1
10 9
0 1 0
2 0 2
0 1 1
2 1 0
2 1 2
0 1 2
1 1 0
2 1 1
1 0 1
0 2 1
10 3
1 1 0
0 2 0
1 0 2
0 1 0
1 2 2
0 0 2
2 0 1
1 2 1
1 1 1
2 2 0
10 3
2 0 0
0 2 2
0 1 1
1 2 1
1 2 2
2 1 1
0 0 0
2 2 2
2 0 1
2 2 0
10 3
0 0 1
2 1 2
0 2 3
2 2 0
0 1 2
0 1 3
2 0 1
2 1 1
3 0 1
0 3 0
10 6
0 0 1
1 3 1
1 2 0
3 0 1
2 0 3
1 2 3
0 3 0
3 3 2
1 0 1
3 2 1
10 3
1 3 1
2 2 1
3 1 0
0 3 3
3 2 3
0 3 2
0 0 1
2 1 0
3 0 1
0 1 3
10 2
2 0 0
0 2 2
0 0 2
1 0 2
2 2 1
0 0 1
2 1 2
2 0 2
0 2 0
1 0 0
10 3
2 2 0
0 2 2
0 2 1
2 2 1
1 2 1
1 0 2
0 2 0
1 2 2
2 1 0
1 1 1
10 7
3 3 0
2 3 0
2 1 3
3 1 0
0 0 3
2 0 2
2 1 1
2 1 0
0 2 3
0 3 0
10 2
1 1 1
2 1 0
0 2 0
2 1 1
0 1 2
0 0 1
1 1 2
2 2 2
1 0 0
1 2 1
10 6
2 1 0
3 0 1
1 1 1
3 2 0
3 3 0
2 3 1
2 0 1
2 0 0
1 3 3
2 1 1
10 5
1 1 3
0 0 0
2 3 3
1 0 3
2 1 0
0 1 3
3 3 1
1 3 2
0 2 3
2 0 1
10 3
3 0 3
0 3 0
0 3 1
0 3 2
0 1 2
2 1 3
2 0 3
0 0 2
2 0 2
2 2 2
10 6
2 0 2
0 0 2
0 3 0
3 1 1
3 2 0
1 2 2
1 1 2
0 2 1
3 2 3
3 2 1
10 3
0 0 0
0 2 1
2 1 0
1 2 1
0 0 2
2 1 2
1 0 1
2 0 2
0 1 1
1 1 2
10 2
2 1 1
1 1 0
0 2 1
2 2 2
0 2 0
2 2 0
1 0 0
1 2 1
0 0 2
0 0 0
10 8
2 2 0
1 0 1
3 3 3
1 3 3
3 3 0
2 2 3
1 1 2
3 0 0
2 2 1
0 0 3
10 6
2 2 0
0 0 2
0 1 2
0 2 2
2 1 2
1 0 2
0 0 0
2 0 2
2 0 1
2 2 2
10 5
0 1 2
2 1 1
1 1 0
2 0 1
1 2 2
1 0 0
1 2 0
1 2 1
1 0 1
2 2 1
10 2
1 1 0
0 1 0
2 0 1
1 0 1
2 2 0
0 2 1
1 1 2
0 0 0
2 0 2
2 1 1
10 4
0 1 0
1 0 1
2 2 0
1 2 2
2 1 1
0 0 1
0 2 1
0 2 0
1 1 2
1 0 2
10 6
2 2 1
2 1 3
1 3 3
1 3 1
0 3 0
3 2 0
3 3 2
1 2 3
0 0 2
2 0 1
10 6
2 1 0
2 0 1
2 3 1
1 1 0
3 3 3
2 3 0
0 2 3
3 0 3
2 2 1
2 3 3
10 6
0 0 0
2 2 0
0 3 3
1 1 2
1 1 0
2 1 1
3 2 1
0 1 2
3 2 3
1 0 3
10 8
1 1 1
0 1 0
0 1 2
2 0 1
2 2 2
2 2 0
1 2 1
1 2 2
1 1 2
1 1 0
10 9
1 0 0
0 1 2
2 0 2
0 2 1
0 0 0
0 1 1
1 1 1
1 2 2
1 0 2
0 1 0
10 4
3 2 2
2 0 0
2 3 2
1 2 1
2 2 2
3 2 1
1 1 2
1 2 3
3 0 3
2 0 1
10 9
2 1 0
1 1 0
2 2 3
2 0 3
1 3 2
1 2 3
0 0 2
2 1 2
2 2 2
0 0 0
10 4
1 2 1
2 1 2
2 2 1
1 0 1
0 1 0
2 1 1
0 2 0
0 1 1
1 2 0
2 2 2
10 8
2 1 1
2 2 3
0 1 0
2 3 0
0 0 3
1 3 1
0 1 1
0 2 1
0 1 3
1 0 3
10 5
0 2 1
2 1 1
0 3 0
0 1 0
3 3 1
1 0 0
3 0 0
3 3 2
2 0 2
0 2 0
10 9
0 2 0
2 0 2
1 1 0
2 1 1
0 0 0
1 0 2
1 0 1
0 2 2
1 2 1
1 1 2
10 6
3 2 0
3 2 3
3 3 1
0 3 1
1 1 0
1 1 3
0 1 1
1 3 0
1 0 1
0 3 3
10 2
3 2 0
1 0 2
2 3 2
0 1 1
0 2 2
3 3 0
1 2 3
2 3 0
1 2 2
1 0 3
10 2
2 2 2
2 0 0
0 0 1
0 1 0
2 1 2
0 2 2
1 0 0
1 1 1
1 1 2
1 1 0
10 2
1 2 0
0 0 2
1 0 0
1 1 1
0 1 0
1 1 0
2 1 0
0 0 0
2 0 1
2 2 2
10 7
1 1 2
0 0 2
1 1 0
1 2 0
1 0 2
1 2 1
0 1 2
0 0 0
1 1 1
2 2 1
10 4
1 2 0
2 1 1
0 1 2
0 2 0
0 2 2
2 2 0
0 0 1
2 2 1
1 1 1
2 2 2
10 6
2 0 3
2 2 0
2 3 3
2 3 1
3 1 2
3 0 3
3 1 3
1 2 3
2 0 1
2 1 2
10 9
0 1 2
0 2 0
0 0 1
0 0 2
1 0 1
2 2 2
2 2 0
0 1 1
0 2 2
1 1 2
10 3
0 3 2
0 3 0
3 3 3
0 0 3
2 3 0
2 0 1
2 0 0
1 3 1
2 3 1
1 2 0
10 3
0 2 1
2 0 2
1 2 0
0 1 1
1 1 0
2 0 1
0 1 2
0 0 1
1 0 1
2 2 1
10 3
2 0 1
2 2 0
2 1 2
2 2 2
2 0 0
0 0 1
2 2 1
2 1 0
0 1 1
1 0 1
10 3
0 1 1
2 2 2
2 1 2
1 0 2
1 2 0
1 1 2
0 2 0
0 0 2
1 2 2
0 0 0
10 3
3 2 1
3 1 3
3 2 3
1 0 0
2 1 3
1 0 3
1 0 2
3 2 0
0 3 1
0 2 2
10 9
0 0 1
1 2 2
0 1 0
2 1 1
1 1 1
1 2 1
2 2 1
2 2 0
1 0 2
2 1 2
10 7
1 1 2
0 2 0
2 0 0
0 1 2
1 0 2
1 2 1
2 2 2
1 1 1
1 0 0
1 0 1
10 5
1 2 0
1 1 1
0 0 2
3 2 3
0 3 1
1 3 0
3 2 1
2 3 0
0 3 0
1 1 0
10 6
0 0 0
0 0 1
0 1 2
3 1 3
0 3 2
2 2 0
1 0 1
0 2 2
3 2 1
3 0 3
10 6
2 1 0
2 0 1
3 0 0
3 3 0
3 3 1
3 0 2
3 1 2
0 0 2
1 2 2
1 1 0
10 7
2 0 1
0 1 1
2 1 2
1 2 1
1 2 2
0 1 2
1 1 0
2 0 0
1 0 0
1 0 2
10 8
1 1 2
0 1 0
0 2 0
2 2 1
1 2 1
0 2 2
1 2 0
2 1 1
2 2 0
0 2 1
10 6
1 0 3
3 1 0
1 2 0
3 3 2
2 1 3
1 2 2
2 0 0
1 3 3
1 0 0
2 3 1
10 5
1 2 2
0 2 1
1 3 0
3 0 3
2 1 3
3 0 1
1 3 2
0 2 3
1 0 1
2 3 0
10 2
1 2 0
0 1 0
0 0 1
1 0 2
2 1 1
1 1 2
1 0 1
2 0 2
2 2 2
1 2 1
10 3
2 2 2
2 2 1
1 1 1
0 0 1
1 1 2
1 2 2
2 1 1
0 2 2
1 0 1
2 1 0
10 4
0 3 1
0 1 0
2 3 2
1 3 3
0 2 2
0 0 0
3 3 1
3 0 0
1 3 2
1 1 3
10 5
2 2 2
1 1 1
1 0 0
1 0 2
2 1 2
1 1 0
2 1 0
1 2 2
0 1 0
2 0 0
10 4
1 1 1
2 2 0
2 0 1
1 2 0
2 2 1
0 0 2
1 1 0
2 1 0
2 0 0
1 0 0
10 3
1 2 3
0 0 0
3 1 2
0 2 1
3 2 3
1 2 1
0 0 1
1 3 3
1 3 1
0 1 2
10 3
3 0 2
2 2 0
0 1 2
1 3 1
1 1 3
2 1 1
2 2 3
3 1 1
2 2 1
1 0 0
10 4
2 1 0
2 0 2
2 0 0
2 2 0
2 1 2
1 2 2
1 1 2
1 0 0
0 2 1
0 2 0
10 4
0 2 1
2 3 2
2 2 2
1 3 0
3 0 1
0 1 0
3 2 1
0 2 0
1 1 0
0 3 3
10 3
2 0 0
1 0 0
0 2 2
1 1 2
0 0 1
1 1 0
0 1 1
2 0 2
1 0 2
0 2 1
10 3
2 2 0
0 0 2
2 2 1
1 1 2
1 1 0
0 2 0
2 2 2
0 0 0
1 0 2
2 0 2
10 3
2 1 1
2 3 1
0 1 2
2 1 2
2 0 3
1 1 3
0 3 0
3 3 2
2 2 2
3 0 1
10 7
0 2 0
2 0 0
1 2 2
0 2 2
1 0 1
2 0 2
2 1 1
2 0 1
1 0 0
0 1 1
10 6
0 1 0
3 0 0
3 1 2
1 3 3
3 3 0
0 1 1
0 3 0
3 1 3
1 0 2
0 0 3
10 6
0 2 1
0 1 3
3 0 1
2 3 0
1 1 1
3 2 0
0 1 1
1 3 3
1 3 2
1 1 3
10 3
2 2 2
1 0 1
2 1 0
1 2 0
0 0 0
1 1 2
2 0 2
0 2 1
0 2 2
1 1 1
10 6
2 2 0
0 2 0
3 3 2
2 0 2
3 3 0
1 3 3
3 0 2
0 1 2
0 0 3
0 2 3
10 2
2 0 0
2 2 0
2 1 0
1 0 2
0 0 0
0 1 1
2 2 1
2 1 2
1 2 2
1 2 1
10 6
1 2 1
1 2 0
1 0 1
1 0 2
0 1 2
1 1 2
0 1 0
0 0 0
0 2 2
1 1 0
10 5
0 2 1
1 2 1
3 2 3
2 2 3
1 0 2
1 0 1
2 2 1
3 0 2
1 3 3
1 3 1
10 4
0 1 2
2 1 1
1 0 2
2 0 2
2 1 0
1 1 2
1 1 1
0 2 2
2 1 2
0 2 0
10 5
0 1 1
1 2 1
2 1 1
1 0 1
0 2 2
0 1 0
1 0 2
2 2 2
2 0 1
2 0 0
10 9
2 3 0
1 1 2
3 1 3
3 3 0
1 1 0
0 3 0
1 0 2
3 1 1
0 0 1
1 0 3
10 9
0 0 0
2 3 0
1 3 0
2 3 1
2 3 2
2 1 3
1 0 0
3 1 2
0 2 1
2 0 0
10 2
1 0 1
2 1 2
0 1 1
0 2 1
1 1 1
2 2 2
0 2 0
0 1 0
1 2 0
1 2 2
10 3
2 1 0
0 1 1
0 0 2
0 1 0
1 2 0
1 0 0
1 1 2
1 1 0
1 1 1
1 2 2
10 6
2 0 2
0 1 0
1 1 0
1 2 1
1 1 1
0 1 2
0 0 2
2 2 2
1 0 2
0 2 2
10 8
1 1 1
0 2 2
1 0 2
0 1 2
0 1 1
1 2 1
0 0 0
2 2 2
1 1 2
1 0 1
10 9
0 2 2
1 0 1
2 2 2
2 0 1
1 0 0
0 0 0
2 2 0
0 1 1
0 0 2
1 0 2
10 5
1 1 2
0 2 2
3 2 1
1 2 2
1 2 1
3 0 3
1 2 0
3 0 1
1 1 3
0 2 0
10 3
2 1 2
2 0 1
0 0 2
1 1 1
0 1 1
1 2 0
0 1 2
2 0 0
2 0 2
1 1 2
10 3
1 2 0
3 3 0
1 0 0
3 2 2
0 1 2
0 1 0
0 0 3
2 1 1
1 0 1
2 3 1
10 6
3 0 0
2 1 3
1 2 1
2 3 2
3 3 3
3 2 2
2 3 0
0 1 2
2 1 2
3 2 0
10 2
2 1 2
1 3 1
3 3 3
2 2 3
0 1 1
2 3 3
2 0 1
1 3 3
3 2 2
0 1 3
10 4
1 3 1
2 2 0
2 2 3
2 3 3
2 0 1
2 2 2
0 2 1
0 1 3
0 2 2
0 3 0
10 2
0 2 2
0 1 0
1 2 0
2 1 2
1 1 1
2 2 2
2 1 0
0 2 0
2 2 1
1 0 0
10 5
2 0 0
2 0 1
2 0 2
1 1 0
2 1 1
1 1 2
1 2 2
2 2 1
1 2 0
2 2 2
10 6
1 0 1
3 1 3
3 3 3
0 2 3
3 0 3
3 3 2
2 0 2
0 0 0
1 0 3
0 3 3
10 4
3 3 1
1 3 2
2 3 1
2 2 0
2 0 3
3 1 2
0 2 3
1 2 2
0 0 3
1 0 0
10 6
2 1 0
2 2 2
0 1 1
2 1 1
1 2 1
1 1 0
2 0 1
0 2 0
2 2 0
2 1 2
10 4
3 1 0
1 3 2
3 0 0
0 2 0
1 0 2
2 2 2
0 3 1
1 3 3
0 2 1
0 2 3
10 3
2 1 0
2 0 2
1 1 2
0 1 0
1 2 2
1 1 1
2 0 0
2 2 2
0 0 1
1 2 1
10 6
0 0 2
2 2 0
1 1 2
0 0 0
1 2 2
0 1 2
1 0 2
2 0 1
1 1 1
1 1 0
10 9
3 1 3
1 2 1
0 2 0
1 2 3
1 1 3
2 3 2
1 3 2
1 0 2
0 1 2
0 0 3
10 8
1 2 0
0 2 1
2 0 0
2 1 1
0 1 1
0 2 0
1 2 2
1 1 0
0 2 2
2 1 2
10 2
2 1 1
2 1 0
0 2 2
0 1 0
2 0 0
0 1 1
0 0 0
1 1 1
1 1 2
1 1 0
10 5
0 0 2
0 1 2
1 2 0
0 2 0
1 1 2
2 1 1
1 0 0
2 0 1
0 2 2
1 1 0
10 9
2 2 2
0 1 3
3 2 0
0 2 3
0 3 1
0 1 0
1 1 1
2 0 3
2 1 1
2 2 3
10 4
1 0 0
2 1 0
2 1 2
0 0 1
0 1 0
1 1 2
2 2 1
0 2 1
2 0 2
2 2 2
10 4
0 2 0
1 2 1
0 0 0
3 3 3
0 1 3
1 1 0
0 1 1
1 2 2
1 1 1
1 0 0
10 8
1 1 1
3 2 2
1 0 3
1 0 0
1 3 1
3 3 1
1 3 3
3 1 0
2 3 3
3 3 0
10 9
1 0 0
0 2 1
0 2 2
1 1 1
2 0 1
2 2 1
2 1 0
1 2 2
0 2 0
2 0 0
10 9
1 0 2
3 1 1
2 0 3
3 2 2
2 2 0
2 3 1
2 3 0
3 3 3
0 3 0
3 2 3
10 6
1 0 2
2 1 0
0 2 0
2 2 2
0 1 2
0 0 1
0 2 1
2 1 1
0 0 2
1 2 2
10 4
0 3 3
1 2 2
0 0 2
3 0 1
2 2 3
0 2 0
1 1 1
3 3 1
1 0 2
2 1 2
10 2
3 3 1
2 3 1
1 1 0
1 0 2
2 0 2
0 1 1
3 1 0
2 1 1
1 0 0
1 2 0
10 6
0 0 0
0 1 0
1 2 1
1 0 3
2 0 1
2 2 3
2 2 0
0 1 1
0 2 3
1 1 0
10 5
1 2 1
0 0 3
3 3 2
0 0 1
1 0 3
1 2 0
2 2 0
0 2 3
3 1 0
3 3 1
10 3
3 2 0
1 3 1
0 3 2
1 0 3
2 2 0
1 3 3
3 0 1
1 2 2
1 0 0
3 1 0
10 2
0 1 0
1 2 2
2 1 2
2 1 0
0 2 2
1 0 2
2 0 2
2 2 1
0 0 1
1 2 0
10 3
1 3 3
2 0 2
3 3 2
1 0 0
2 2 1
0 2 3
0 3 3
1 1 2
2 0 3
3 0 0
10 8
1 2 2
2 0 0
2 1 0
0 2 2
0 2 1
1 0 0
2 2 0
0 0 0
0 0 1
2 1 1
10 5
3 1 1
2 3 3
3 1 0
2 0 0
3 2 1
3 0 0
1 0 0
3 0 1
1 0 2
0 1 3
10 8
3 0 2
0 3 3
0 1 2
3 3 2
3 1 2
2 2 3
2 2 1
2 3 1
0 0 2
2 3 0
10 3
1 1 2
2 0 2
0 0 2
0 0 1
1 2 0
0 1 2
0 2 1
1 0 1
0 2 0
2 2 1
10 9
3 2 1
3 1 2
3 0 2
1 2 1
2 3 0
1 2 3
2 1 0
0 1 1
0 2 0
0 1 2
10 5
1 1 2
3 3 0
2 0 2
3 3 1
0 3 1
2 0 0
1 0 2
1 3 1
0 1 3
0 1 0
10 8
0 2 0
2 2 1
1 2 2
0 1 2
0 0 1
1 0 2
2 0 2
0 0 0
0 2 2
2 2 2
10 2
1 1 0
2 0 1
1 2 0
1 0 0
2 0 0
0 0 1
1 1 2
0 2 1
0 2 0
0 1 2
10 5
0 1 0
2 1 0
2 1 1
2 1 2
2 0 2
0 0 2
1 0 2
1 1 1
0 2 2
2 0 1
10 7
1 0 0
2 0 1
2 2 0
0 2 2
0 0 1
2 0 0
0 0 0
1 2 1
1 0 2
1 2 0
10 7
2 3 0
1 2 1
3 0 3
1 0 2
0 0 3
0 1 3
0 3 0
2 2 0
3 2 0
3 1 2
10 8
0 0 2
1 1 1
2 1 1
0 1 1
1 0 2
0 1 2
1 0 0
2 0 0
2 2 2
0 0 1
10 9
2 2 1
0 2 2
1 1 1
1 2 1
2 1 1
1 1 0
0 1 0
2 0 2
2 1 2
1 2 2
10 6
2 0 1
2 1 2
0 1 1
1 2 0
2 0 2
1 2 2
1 1 1
2 2 2
0 0 1
2 2 0
10 7
0 0 1
0 2 1
1 2 1
0 0 0
1 1 2
0 1 0
2 0 2
2 1 0
0 0 2
1 0 2
10 5
2 0 1
0 0 0
0 2 1
1 1 0
0 0 1
0 1 1
1 2 2
1 0 2
0 1 0
2 0 2
10 5
1 2 1
0 1 1
3 2 1
0 3 0
3 1 2
3 2 2
2 2 2
2 3 2
1 2 3
3 1 1
10 9
2 2 2
0 2 0
1 2 2
0 0 0
1 0 0
2 0 2
0 0 1
0 2 1
2 1 2
1 0 1
10 4
2 2 2
3 2 1
3 0 3
1 2 2
1 2 1
1 1 0
3 3 3
2 0 3
2 3 0
1 3 3
10 7
2 2 2
2 1 2
1 2 1
2 2 0
1 0 2
2 1 1
2 0 0
1 1 2
0 0 2
2 0 2
10 7
1 0 2
1 3 1
1 0 1
2 1 3
1 2 3
0 2 1
2 2 2
2 2 0
3 3 0
1 1 1
10 2
2 1 2
0 0 0
0 2 1
0 1 2
1 0 2
1 0 0
0 2 2
1 1 2
2 2 0
1 2 2
10 9
1 0 0
2 0 2
1 1 0
0 1 1
1 2 2
0 1 2
1 0 2
1 2 0
0 1 0
0 0 1
10 4
1 1 1
1 0 2
2 2 2
0 2 1
2 1 0
2 0 0
1 1 0
2 1 1
1 0 0
1 1 2
10 9
1 2 3
2 3 0
2 0 3
3 1 3
1 2 1
1 3 3
3 0 0
2 2 2
3 1 2
3 3 0
10 9
1 2 0
1 1 0
0 0 2
0 0 1
2 0 1
1 2 1
0 0 0
1 1 1
2 0 2
0 1 2
10 7
2 1 2
0 0 1
1 0 1
0 0 2
1 1 1
1 0 2
1 1 2
2 1 0
0 1 1
1 0 0
10 3
2 2 0
1 1 2
1 1 1
0 2 2
1 2 0
1 0 0
2 1 2
0 2 0
0 1 2
0 1 0
10 9
1 0 0
0 2 0
2 0 1
2 0 0
0 0 0
1 2 1
1 2 2
0 0 1
2 2 2
0 1 1
10 6
0 1 2
1 3 1
1 3 0
0 1 0
3 1 3
3 3 3
3 1 1
3 3 1
0 3 1
3 2 3
10 9
3 3 0
2 0 1
1 1 1
0 1 2
3 0 0
1 0 3
1 2 3
1 2 2
2 2 0
2 0 3
10 3
1 2 2
0 0 0
3 2 3
2 0 2
1 0 3
2 3 2
0 1 0
1 0 2
2 1 2
3 1 1
10 4
0 1 0
0 1 2
2 1 2
3 0 0
3 2 0
2 3 1
1 0 3
2 0 3
0 3 2
0 0 1
10 2
1 1 0
1 2 1
1 0 0
1 2 2
2 0 2
0 2 0
0 2 2
2 1 0
0 0 1
1 0 1
10 9
0 2 2
1 2 1
1 1 0
1 0 1
0 1 2
0 0 1
1 1 1
1 0 0
1 1 2
2 1 1
10 5
0 1 1
2 2 0
2 0 2
1 0 0
2 0 1
1 1 2
1 2 1
0 1 0
1 1 1
0 0 2
10 7
1 0 1
0 1 0
2 0 0
2 0 1
1 2 2
1 0 0
0 1 1
1 0 2
0 0 0
0 1 2
10 2
0 0 2
1 2 0
2 2 0
2 2 1
0 0 1
2 1 0
2 0 1
1 0 2
1 2 2
2 1 2
10 3
0 3 2
0 2 3
0 3 0
1 0 0
1 3 2
2 1 0
2 1 3
3 1 1
0 0 2
3 2 2
10 7
1 2 2
2 1 3
1 1 3
1 3 3
2 3 2
2 2 0
1 2 0
3 1 1
2 2 3
2 1 2
10 2
2 3 1
3 3 2
3 1 0
3 0 1
3 1 2
3 0 2
0 1 0
1 0 0
0 1 2
0 0 0
10 6
0 0 1
1 2 2
0 1 2
0 1 1
1 1 1
2 0 0
2 1 1
2 1 2
1 1 2
0 2 1
10 9
0 0 0
1 3 2
0 3 1
0 0 3
2 0 1
2 1 0
2 0 2
1 1 1
2 2 1
1 0 1
10 3
0 1 1
0 1 2
0 0 0
0 0 1
1 2 0
2 0 1
2 2 0
0 2 0
2 1 1
1 1 2
10 6
0 2 1
1 0 0
2 2 0
0 0 2
2 0 2
0 1 1
1 0 1
1 1 1
2 1 0
0 0 0
10 6
0 0 2
2 1 0
2 0 1
2 2 2
1 1 2
2 1 1
1 2 0
1 1 0
0 2 1
2 2 1
10 9
0 0 0
1 1 1
1 1 2
0 2 1
0 1 2
1 2 0
2 1 2
2 2 0
2 0 2
1 0 2
10 9
1 3 1
2 0 3
3 1 0
1 3 0
3 2 2
3 1 2
2 1 3
2 2 3
2 3 0
2 0 2
10 5
2 2 2
1 0 2
0 3 3
0 0 0
1 1 3
0 0 1
1 0 1
2 1 0
0 1 0
2 3 2
10 8
0 2 2
0 3 2
3 2 2
1 2 3
3 2 1
0 0 3
3 1 1
0 1 0
1 0 2
0 3 1
10 8
2 0 0
1 2 2
1 2 0
0 1 3
1 1 0
1 3 1
0 0 1
1 3 2
3 3 1
1 1 1
10 6
1 1 3
3 1 1
1 2 1
3 1 0
0 1 1
3 0 2
0 1 3
1 2 0
1 3 3
3 2 0
10 5
2 0 0
2 1 1
2 0 2
0 0 1
0 1 0
0 2 1
1 1 0
1 2 2
1 0 0
0 1 2
10 9
1 0 2
1 0 1
1 1 2
0 2 0
0 2 2
0 1 2
2 1 0
0 0 0
1 2 2
0 2 1
10 5
2 1 0
0 1 0
0 2 1
1 0 1
0 0 1
0 2 2
2 0 2
0 0 2
1 2 0
1 1 2
10 7
0 2 2
2 0 0
1 0 2
1 1 0
0 1 0
2 1 2
2 1 1
1 1 1
0 1 1
1 2 1
10 6
2 0 1
3 0 0
0 2 0
3 3 1
1 0 3
3 2 1
0 3 0
3 1 0
1 1 0
2 0 0
10 6
1 0 3
1 1 1
2 0 3
2 3 0
0 0 0
3 1 3
2 2 0
0 0 1
1 1 3
1 3 1
10 4
2 2 2
2 2 1
0 2 1
1 0 2
0 0 1
2 0 0
1 0 1
0 0 0
2 0 1
1 1 0
10 7
1 2 2
0 2 0
0 2 1
0 1 0
2 2 1
1 1 0
2 1 2
2 0 2
0 1 1
1 1 2
10 3
2 3 3
2 1 3
2 3 0
2 2 2
1 3 2
2 0 2
3 1 1
1 1 2
1 1 1
2 2 1
10 6
3 1 3
2 0 1
0 0 3
2 3 3
2 2 3
3 2 0
3 3 2
1 2 1
1 3 2
2 1 3
10 3
1 2 1
1 0 3
0 3 1
2 2 2
1 1 2
3 2 0
2 2 0
0 0 2
3 2 1
1 3 1
10 3
1 0 1
3 0 1
0 1 1
1 0 3
1 1 0
3 3 0
2 3 1
2 3 2
3 1 0
3 1 1
10 6
0 2 2
2 0 3
0 2 1
3 2 1
2 2 3
2 2 0
3 0 2
3 3 1
0 1 2
3 1 1
10 4
3 2 3
2 0 3
0 0 2
2 1 3
3 0 1
1 2 2
2 1 0
1 1 2
0 3 1
2 3 1
10 5
3 1 2
1 1 2
1 2 0
0 0 1
0 1 2
1 2 1
2 3 0
0 3 1
2 1 0
2 3 3
10 6
0 0 1
0 1 1
1 1 2
2 0 2
2 2 1
0 0 2
1 1 0
1 1 1
1 2 2
2 1 2
10 4
3 0 0
2 3 0
1 2 1
3 0 3
3 3 2
2 1 2
0 0 2
3 2 3
1 0 1
2 0 2
10 7
1 1 3
0 1 1
0 3 3
1 3 0
2 2 2
0 3 2
1 1 0
2 1 1
2 3 3
0 0 3
10 2
0 2 1
1 0 1
1 2 1
2 0 0
1 0 2
0 1 0
0 2 2
0 1 1
1 2 2
0 0 1
10 7
3 3 1
1 0 1
0 1 3
0 2 3
3 1 3
3 2 3
2 2 0
2 3 3
3 0 0
1 1 0
10 8
1 2 1
2 1 1
0 1 2
2 2 1
2 0 1
2 2 0
2 1 2
1 0 1
1 1 1
2 2 2
10 9
2 1 1
2 2 2
0 2 1
1 2 1
1 1 1
1 1 2
1 0 0
0 1 2
1 2 0
2 0 0
10 5
2 1 0
1 3 1
3 3 2
0 2 2
3 2 1
2 3 3
3 0 3
3 3 0
1 1 0
2 3 1
10 5
1 2 0
2 3 0
1 1 3
3 2 0
1 3 1
3 1 0
2 2 2
0 3 2
2 1 2
0 1 3
10 7
0 2 1
1 0 2
2 1 1
1 2 1
1 2 0
2 1 2
2 2 2
1 1 1
2 0 0
0 2 2
10 4
2 3 2
3 1 2
1 3 1
0 2 2
0 2 0
3 2 2
2 3 3
1 1 3
1 2 1
3 0 2
10 7
3 0 1
2 2 1
3 0 3
0 2 2
0 1 1
1 1 0
2 1 3
2 1 2
0 3 0
2 0 3
10 5
0 2 0
1 2 3
0 1 0
2 2 0
2 0 1
0 0 3
2 2 1
2 1 0
3 3 2
0 2 1
10 7
0 3 1
2 1 3
3 2 3
3 2 0
3 2 2
2 0 0
0 1 2
1 1 3
1 0 1
3 1 2
10 7
1 1 1
0 1 2
1 0 0
0 0 1
2 2 1
0 2 1
1 2 0
2 0 1
1 1 0
0 2 0
10 9
0 0 0
1 3 3
1 3 2
1 2 3
2 3 0
0 1 0
2 0 1
2 2 0
2 3 1
1 3 0
10 2
0 0 2
2 2 2
0 0 0
0 2 0
0 0 1
0 2 1
2 0 0
1 0 0
1 2 0
1 0 1
10 2
0 0 2
2 2 1
2 0 0
1 0 2
1 1 2
0 1 1
2 2 0
1 1 1
0 1 2
2 1 2
10 2
0 0 1
1 0 2
1 1 1
1 2 2
0 1 1
2 0 1
1 2 0
0 0 0
1 1 0
2 0 0
10 8
2 1 0
2 2 1
0 1 2
2 1 2
0 1 1
2 0 2
1 0 0
1 1 2
1 2 0
0 2 1
10 3
0 0 2
1 2 1
2 2 2
2 0 1
1 0 3
3 3 0
3 1 0
1 3 0
1 0 2
3 2 0
10 4
2 1 0
0 2 2
1 1 1
1 2 1
1 0 1
1 0 0
2 1 2
2 0 2
0 1 2
2 1 1
10 2
1 2 2
0 0 1
1 1 0
1 0 2
2 1 1
0 0 0
1 2 0
2 0 0
2 2 0
1 2 1
10 7
0 0 0
1 2 1
1 0 0
2 0 0
1 2 2
2 1 0
2 1 1
0 0 1
1 0 1
1 0 2
10 4
2 1 1
0 0 2
1 2 1
0 0 1
1 1 0
1 0 1
1 0 0
1 1 1
0 0 0
1 2 0
10 6
1 3 1
1 1 2
2 2 0
2 1 0
0 1 3
1 2 2
2 0 3
3 0 3
0 0 3
3 2 0
10 3
0 2 2
1 0 2
2 1 2
2 2 0
2 0 2
2 1 0
1 0 0
0 2 1
2 1 1
0 1 1
10 6
0 1 2
2 0 0
1 1 0
1 0 1
2 0 2
2 2 0
0 2 0
1 2 0
0 0 1
2 1 1
10 7
3 0 0
1 3 0
1 1 0
3 2 2
2 0 1
2 0 3
2 1 3
3 0 1
3 2 1
2 3 0
10 2
1 2 2
2 1 1
1 1 0
2 2 1
0 1 0
0 0 2
1 2 1
0 1 1
2 1 2
1 1 2
10 2
3 1 2
0 0 3
3 2 3
1 0 3
1 2 1
2 2 1
1 1 0
2 3 0
1 2 0
3 3 1
10 9
2 2 0
2 1 0
2 2 2
2 3 3
3 3 0
0 0 3
1 1 3
3 2 1
1 2 3
2 1 3
10 3
1 0 1
1 1 0
2 2 1
1 2 0
0 0 0
0 2 0
1 0 2
2 2 0
2 1 0
1 1 2
10 9
2 2 0
1 0 2
2 2 3
3 1 1
0 0 3
3 0 1
0 2 0
0 2 2
1 1 2
1 0 3
10 7
1 3 2
3 1 2
3 2 1
2 3 3
3 0 3
2 2 3
1 1 2
1 0 3
0 3 2
2 2 2
10 5
1 2 0
0 0 0
0 0 2
1 0 0
1 1 1
2 2 1
0 0 1
1 0 1
2 1 2
2 2 2
10 3
1 2 0
0 0 0
0 0 2
0 2 0
1 1 0
0 2 1
2 2 1
0 0 1
1 0 1
2 1 1
10 5
2 3 0
1 0 1
0 1 2
1 1 3
2 1 1
1 1 2
3 1 3
3 1 2
1 2 0
1 2 1
10 2
3 1 3
0 1 2
1 0 3
3 2 2
2 3 0
1 3 0
1 3 1
3 0 0
2 1 1
2 2 3
10 3
1 2 2
0 2 1
0 0 1
3 0 0
0 0 2
1 0 3
2 2 0
0 3 0
3 0 3
3 1 0
10 9
2 0 1
1 2 2
2 2 0
0 2 0
1 2 0
0 1 2
1 1 2
1 1 1
1 2 1
1 1 0
10 8
0 1 3
2 2 0
3 3 0
3 2 1
1 2 1
1 0 3
0 2 0
1 3 0
0 2 1
0 0 2
10 9
0 0 1
3 0 0
2 3 3
3 0 2
1 3 0
0 2 3
2 0 3
0 1 2
2 0 2
3 2 3
10 7
1 2 1
0 0 3
0 3 3
3 2 1
3 3 1
1 3 2
2 3 3
3 0 2
0 0 0
3 2 3
10 9
3 0 3
3 2 2
1 2 1
0 3 0
3 1 0
2 1 0
2 0 2
3 1 1
3 1 3
2 3 3
10 6
0 3 3
3 1 2
3 2 1
2 0 1
2 2 0
3 2 0
2 1 2
3 1 3
3 3 0
0 1 2
10 2
0 2 2
2 1 1
0 1 0
1 1 0
2 2 2
1 1 2
2 0 2
0 0 1
1 0 0
1 0 1
10 4
1 3 0
0 3 3
1 0 3
1 1 0
1 1 1
0 0 3
1 1 2
0 3 1
2 0 2
3 2 1
10 6
0 2 0
1 1 0
2 0 0
0 0 2
2 2 0
2 1 0
2 0 1
0 1 0
2 1 2
2 2 1
10 8
2 2 0
1 1 1
1 1 2
1 2 2
0 0 0
0 1 2
0 2 0
2 1 2
2 2 1
1 0 0
10 2
3 3 2
0 3 1
2 1 0
3 0 1
1 0 0
1 0 1
3 0 3
1 1 2
0 1 3
3 3 0
10 5
2 2 2
2 1 2
2 1 0
2 2 1
0 0 1
2 2 0
0 0 0
1 0 1
0 1 0
0 2 0
10 4
0 0 1
1 2 1
0 0 0
1 1 2
1 1 0
2 1 2
2 2 2
0 2 0
2 0 1
1 0 1
10 4
0 0 2
1 0 0
2 2 0
0 1 2
1 2 0
0 1 1
1 1 0
0 0 1
1 0 2
0 2 2
10 5
2 3 3
1 1 2
3 3 2
1 2 0
2 2 1
0 0 0
3 0 0
0 3 1
0 0 2
3 2 1
10 3
1 2 2
2 2 2
2 2 1
1 0 2
0 2 1
0 1 1
0 2 2
0 1 0
0 0 1
1 2 1
10 5
1 2 1
0 1 2
2 1 1
2 2 0
0 0 0
1 2 0
1 1 0
1 1 1
1 0 0
0 0 2
10 2
1 2 2
0 1 0
1 2 0
2 0 0
0 2 2
0 1 2
1 0 0
1 1 1
2 1 2
1 2 1
10 4
2 1 1
1 1 2
2 0 1
0 0 0
2 2 0
1 2 2
1 2 0
0 1 1
2 0 2
1 1 0
10 8
3 0 3
1 1 0
0 2 3
2 2 2
3 0 0
2 1 3
2 0 0
0 2 2
1 1 3
3 1 2
10 3
0 0 2
0 2 2
2 1 1
1 2 1
1 0 3
1 3 2
2 1 2
2 2 1
1 3 3
0 2 1
10 5
0 2 2
0 0 2
1 2 2
2 0 0
1 1 2
2 0 2
1 1 0
1 0 2
0 1 1
2 2 0
10 3
3 1 3
1 0 0
1 2 1
2 0 0
3 1 1
3 1 2
2 0 2
0 3 1
2 0 1
3 0 2
10 3
0 0 2
1 2 0
0 0 1
0 2 0
1 1 1
2 1 0
0 1 1
2 2 1
2 0 0
2 2 0
10 3
0 0 2
2 1 1
0 2 0
0 2 2
1 0 2
0 0 1
2 0 2
1 2 2
1 2 0
2 1 0
10 6
2 1 2
2 2 0
2 1 3
3 2 3
0 0 2
3 2 2
3 3 1
0 0 3
3 0 1
1 1 0
10 2
2 0 0
0 1 1
1 1 0
2 0 1
2 1 3
2 0 3
1 0 0
2 3 1
1 1 1
0 0 0
10 2
2 1 1
2 2 0
0 2 2
2 0 2
1 2 0
0 1 0
0 0 1
2 0 0
2 2 2
1 0 0
10 9
0 3 2
2 0 0
0 3 3
1 1 2
3 0 2
0 0 2
3 0 0
2 3 0
3 1 2
2 1 0
10 6
0 3 3
1 1 3
0 3 0
3 2 1
3 1 2
1 0 0
1 1 2
0 0 0
0 1 2
0 2 3
10 6
0 0 0
3 0 1
3 0 0
2 1 2
1 2 0
1 1 0
3 1 0
1 2 3
0 0 2
2 2 1
10 5
0 2 2
0 2 0
0 0 0
1 1 1
2 1 1
0 2 1
2 0 0
0 1 1
1 1 2
1 2 0
10 9
1 2 0
0 3 3
0 0 3
2 2 1
2 3 1
0 2 1
2 1 2
1 0 3
2 1 3
3 3 1
10 3
1 1 0
0 1 1
0 2 1
2 1 3
2 1 2
3 1 0
0 3 2
3 2 0
1 3 2
1 0 2
10 2
3 3 1
2 0 2
2 0 1
2 1 2
3 0 0
1 0 3
2 1 1
2 1 0
2 3 1
0 3 1
10 4
2 2 0
0 0 1
2 3 1
0 1 2
1 3 1
3 0 2
0 2 0
0 1 1
3 1 1
2 0 3
10 3
0 2 2
2 3 1
1 0 3
1 3 1
0 2 3
0 1 0
2 1 3
2 3 2
3 3 1
1 3 2
10 8
0 3 0
1 0 0
1 3 3
1 0 3
1 2 2
2 3 1
2 2 1
3 1 3
2 0 1
0 0 3
10 5
1 0 0
2 1 2
0 0 0
2 1 1
1 1 0
0 1 1
2 0 0
2 1 0
2 2 0
1 2 0
10 6
1 0 1
1 2 1
0 2 2
1 1 2
2 1 1
2 2 0
0 0 0
1 2 2
0 0 1
2 2 2
10 7
2 2 0
0 2 0
0 3 0
3 0 1
1 3 2
0 0 1
2 0 0
2 3 2
0 1 3
1 2 1
10 5
0 0 1
2 0 0
1 0 3
3 3 3
1 2 3
3 3 2
2 2 3
2 2 0
2 3 0
2 3 1
10 8
0 0 0
0 3 2
2 0 1
2 3 1
2 2 1
3 2 1
0 3 1
2 1 1
1 0 3
1 1 1
10 4
0 1 1
0 2 1
2 2 1
0 1 2
0 2 0
2 0 1
0 2 2
1 2 0
2 2 2
1 1 2
10 5
0 0 0
2 1 1
0 2 1
0 2 0
0 0 1
0 1 2
0 2 2
2 0 2
0 1 0
1 2 0
10 4
0 0 2
0 2 2
2 0 0
2 1 0
2 2 1
0 0 0
1 1 2
0 1 1
0 0 1
2 0 2
10 8
3 2 1
3 1 3
1 3 2
1 2 1
1 0 0
0 0 2
2 1 3
2 2 2
0 3 2
2 3 2
10 3
2 0 2
0 0 0
0 1 0
2 2 2
2 0 1
2 2 0
1 0 0
1 1 0
0 1 1
0 2 1
10 6
0 0 1
1 0 1
1 0 0
0 1 1
1 1 0
1 2 2
0 0 2
2 1 1
2 0 2
2 1 0
10 7
2 2 2
0 1 1
2 2 0
2 1 0
1 2 0
2 0 0
0 0 1
1 0 2
1 0 0
1 0 1
10 5
0 0 2
2 2 1
1 0 1
2 0 1
1 1 2
2 0 0
1 1 1
0 2 0
2 1 0
0 0 1
10 8
1 3 0
3 0 1
1 0 1
0 3 3
3 1 3
0 2 1
0 3 2
3 3 2
2 1 2
1 3 2
10 9
2 1 2
0 2 2
0 2 0
1 2 0
0 1 1
1 1 1
2 0 1
0 0 1
0 2 1
2 1 1
10 6
0 0 0
1 1 2
1 2 0
0 0 2
2 1 0
2 0 1
2 0 2
1 1 1
0 2 1
2 1 2
10 7
0 2 1
1 0 1
2 1 1
1 0 2
2 2 0
2 0 0
2 0 2
1 2 0
0 0 0
1 1 1
10 9
2 1 0
1 2 2
2 0 1
0 0 1
0 1 1
1 1 2
0 1 2
0 1 0
1 0 1
0 0 2
10 8
1 0 1
0 1 2
1 0 0
2 0 1
2 1 0
2 2 1
1 0 2
0 2 1
0 0 1
2 0 2
10 6
1 2 1
2 1 3
3 3 0
2 3 2
1 1 3
1 0 0
1 3 3
2 0 0
0 3 1
0 1 1
10 9
1 0 1
2 1 1
2 0 0
0 3 1
1 2 0
2 0 1
2 3 0
2 0 2
3 1 2
3 0 0
10 5
0 1 0
1 0 0
1 0 1
0 1 2
2 1 1
0 2 1
1 1 1
2 0 0
2 2 1
0 0 1
10 3
2 3 1
3 0 3
0 1 1
1 3 3
1 0 2
3 1 1
0 2 1
2 2 0
1 3 0
2 2 2
10 6
1 3 3
2 2 1
3 2 2
3 1 2
3 1 0
2 3 1
3 0 3
3 0 1
3 2 1
0 2 0
10 3
1 2 2
1 1 0
0 2 2
0 1 2
2 1 2
1 0 2
1 0 1
0 2 0
1 1 1
1 0 0
10 8
0 0 1
1 0 1
0 3 2
3 0 2
3 0 3
0 1 1
0 0 2
2 3 0
0 1 3
1 0 2
10 7
1 2 0
3 1 2
3 3 3
0 1 2
3 2 2
2 0 0
0 3 1
2 3 2
0 3 3
2 0 1
10 4
1 1 2
0 1 1
2 1 2
3 0 0
1 2 0
3 3 1
3 1 0
3 2 0
1 2 1
0 1 3
10 6
0 1 1
2 2 0
1 0 0
1 2 0
0 0 1
1 0 2
2 0 2
1 1 2
1 2 1
2 0 0
10 6
2 1 1
1 2 0
1 1 0
0 0 1
1 0 2
2 0 0
1 0 0
0 2 1
0 2 0
0 0 0
10 2
2 2 0
2 0 1
3 2 2
1 2 3
3 2 3
3 3 0
0 3 1
0 2 2
1 3 0
1 2 0
10 6
0 0 2
2 0 1
1 0 2
2 0 0
0 1 1
0 2 2
1 2 2
0 1 0
0 2 1
1 1 1
10 5
2 2 2
1 2 2
2 1 0
2 0 1
2 2 1
1 1 2
0 1 2
0 0 0
0 2 2
0 1 1
10 9
0 2 2
2 3 2
3 2 3
1 1 2
3 2 1
3 3 1
1 3 0
3 1 1
3 3 2
3 2 2
10 7
0 3 3
0 1 0
1 0 1
2 0 2
1 0 2
1 3 2
0 1 1
1 2 2
3 2 0
2 1 0
10 3
1 1 1
0 1 1
1 2 1
2 1 1
2 2 2
2 1 2
1 1 0
0 2 1
1 0 1
1 0 0
10 5
0 0 2
1 0 2
0 2 0
2 2 0
2 0 0
2 0 1
1 1 1
2 1 1
1 1 0
0 2 1
10 5
2 3 1
0 2 0
1 0 0
3 3 2
2 1 3
1 1 3
2 0 1
2 1 2
2 0 0
1 1 2
10 4
1 0 1
1 1 0
1 2 2
3 0 0
2 2 1
3 0 1
2 0 3
0 0 3
1 0 2
1 0 0
10 5
2 1 0
0 1 2
0 0 2
1 2 1
1 2 2
1 0 0
1 0 1
2 2 2
2 2 0
2 0 0
10 3
0 1 0
3 0 2
1 0 2
1 2 1
0 0 3
3 0 0
2 2 1
0 3 2
3 3 1
1 0 3
10 5
0 1 0
1 1 2
2 2 1
0 0 1
1 0 1
1 2 2
0 1 1
1 0 2
2 0 0
2 2 2
10 2
2 0 1
0 0 2
0 1 0
1 3 1
3 1 3
2 1 1
1 1 3
0 3 0
0 2 2
3 0 3
10 2
0 2 0
1 3 2
3 2 1
0 3 3
3 3 0
2 3 3
2 3 1
3 0 2
0 2 1
3 1 0
10 8
1 2 1
1 3 3
2 2 3
0 1 3
2 0 3
0 3 1
1 0 3
3 2 1
1 2 2
1 1 2
10 5
1 2 0
2 2 1
1 0 2
2 2 0
1 2 2
1 1 2
0 1 2
1 2 1
2 0 0
2 0 2
10 3
1 2 0
1 0 0
1 0 2
2 0 0
2 1 0
2 0 2
0 0 1
0 0 0
1 2 1
2 2 1
10 4
0 1 3
1 1 3
2 1 1
1 0 3
3 2 0
3 2 3
0 0 3
3 2 1
2 2 3
2 2 0
10 6
3 1 1
3 0 3
2 0 3
0 0 3
1 2 1
3 1 2
2 2 1
1 3 3
2 3 3
3 2 3
10 3
2 3 0
2 3 2
1 3 1
1 3 2
0 0 2
3 0 2
1 0 2
2 2 2
3 0 3
0 0 3
10 7
2 0 2
3 0 2
3 1 3
3 3 0
2 1 2
1 2 2
1 3 0
3 1 0
3 3 3
2 3 2
10 6
0 2 0
1 0 0
0 2 2
2 0 0
1 1 1
2 2 1
1 0 1
1 2 1
0 1 2
1 1 0
10 5
1 0 0
1 0 1
2 2 2
2 0 2
1 1 2
2 0 1
1 1 1
0 1 1
0 0 2
0 0 0
10 4
0 2 1
2 2 2
2 0 1
1 1 0
0 0 0
1 0 2
1 2 0
1 2 1
2 0 0
0 0 2
10 7
0 0 2
1 2 0
2 2 0
0 2 2
1 1 2
2 2 2
1 1 0
0 2 1
3 2 3
1 1 1
10 8
1 0 0
1 0 2
0 0 2
2 0 0
1 1 1
2 1 2
2 2 2
1 1 0
0 0 1
0 1 0
10 4
2 1 0
1 0 0
0 1 2
1 2 0
2 2 1
0 2 0
2 0 1
2 2 0
0 0 0
0 0 1
10 8
1 2 1
2 0 2
1 1 0
2 1 1
1 1 1
1 1 2
0 1 2
0 1 0
0 0 0
2 0 1
10 6
2 3 3
0 2 1
0 1 1
0 3 3
0 2 3
1 1 0
3 0 1
1 0 1
1 2 3
1 2 2
10 7
1 1 3
2 3 2
3 3 3
1 0 1
1 1 0
0 0 1
0 3 1
1 3 0
2 0 1
3 2 0
10 6
2 2 2
0 2 0
0 2 2
1 0 1
1 1 0
2 1 2
2 0 1
2 1 1
0 2 1
1 1 2
10 9
2 1 1
3 1 0
3 1 2
0 1 2
2 2 3
2 1 2
0 3 2
1 2 0
3 0 1
1 1 1
10 3
0 1 1
2 0 2
2 2 2
1 2 1
0 0 0
1 1 0
0 2 0
2 2 0
2 2 1
1 2 0
10 5
2 2 0
0 3 3
1 1 1
1 3 2
0 1 1
1 2 1
3 3 2
3 3 1
2 2 3
0 1 0
10 4
1 0 2
1 1 0
1 2 0
0 2 2
1 0 1
0 0 2
2 0 0
0 1 0
2 1 1
1 2 1
10 4
2 3 3
0 0 1
1 0 2
1 1 2
2 1 2
1 3 1
0 3 3
1 1 0
2 1 0
1 2 0
10 3
2 0 1
0 0 1
0 2 0
1 2 2
0 1 1
1 0 2
0 1 2
1 1 1
0 2 2
2 1 2
10 4
2 0 1
0 0 2
1 2 1
1 0 0
0 2 2
0 0 1
2 0 0
1 2 2
1 0 2
0 2 1
10 3
2 0 2
0 1 2
1 2 2
2 0 0
1 1 0
0 0 2
2 1 2
2 0 1
0 2 1
0 1 0
10 3
1 2 0
0 0 2
2 1 1
2 0 2
1 2 2
2 2 2
2 0 0
0 0 1
0 1 0
1 0 2
10 4
2 0 2
0 0 0
0 2 2
0 0 2
1 2 1
1 1 1
2 2 1
2 2 0
2 1 0
1 1 2
10 7
0 1 0
3 0 3
1 1 1
0 0 1
3 3 0
2 1 2
3 3 1
0 2 3
2 3 1
0 1 2
10 2
0 0 0
0 1 2
1 0 2
1 2 1
0 0 2
1 2 2
1 1 2
1 2 0
2 0 1
2 1 2
10 5
0 0 2
2 0 3
1 3 3
1 0 2
2 0 1
2 1 2
3 3 0
3 2 0
1 2 0
0 2 2
10 2
0 2 2
3 0 1
0 3 0
1 1 1
1 2 2
2 2 3
1 1 3
3 3 2
2 0 0
3 0 2
10 8
0 1 2
1 0 0
2 1 0
2 2 1
0 1 1
1 0 2
2 0 2
2 1 2
0 0 2
2 2 0
10 5
1 2 1
2 1 0
1 2 0
2 1 1
2 0 2
1 0 0
1 1 2
0 0 1
1 0 1
0 0 0
10 5
3 1 3
1 0 0
3 2 3
3 1 1
0 1 3
0 0 3
1 0 2
2 2 0
3 0 3
0 3 0
10 9
2 1 1
1 1 2
3 2 1
3 0 1
3 1 2
1 3 1
1 0 0
0 1 1
2 1 0
2 0 2
10 5
0 2 2
0 0 0
1 1 1
3 2 0
2 0 3
3 2 1
1 3 3
0 0 1
0 3 1
1 0 3
10 2
0 2 1
2 2 2
1 0 0
0 1 0
0 1 1
0 0 1
1 2 0
1 1 1
2 2 0
2 1 2
10 6
1 0 3
0 1 0
1 2 0
1 3 2
2 2 3
0 0 1
1 3 3
3 3 0
3 2 1
3 0 0
10 2
2 1 0
2 1 1
0 3 3
2 0 1
0 3 2
1 3 3
1 0 3
3 3 3
3 1 0
2 2 1
10 3
2 3 2
0 0 0
3 0 0
3 3 3
2 3 1
3 3 2
0 2 0
2 0 2
3 0 1
1 3 3
10 5
0 0 0
2 1 0
3 3 1
1 2 2
1 3 3
3 0 0
2 3 0
2 2 2
1 3 2
0 2 0
10 5
2 0 3
0 3 2
1 3 3
0 3 3
3 1 1
2 1 2
1 0 0
3 1 3
0 2 0
0 2 3
10 9
2 1 2
1 1 2
0 1 2
2 2 2
0 2 0
0 0 0
1 0 0
2 2 0
1 2 1
0 0 1
10 3
0 1 2
1 1 1
2 1 0
1 2 1
1 2 2
2 0 1
0 0 0
0 0 2
1 2 0
0 1 0
10 3
1 1 0
0 2 0
1 0 0
2 1 0
2 2 2
0 2 2
2 0 1
1 2 1
0 1 0
2 0 0
10 4
0 2 0
3 0 3
3 0 2
2 1 0
2 2 2
0 1 3
1 2 3
0 0 3
2 0 2
1 0 3
10 3
2 3 0
0 2 2
3 0 1
3 3 2
3 0 2
3 3 3
0 1 1
3 2 0
2 0 3
0 0 1
10 6
2 1 2
1 1 2
1 0 1
2 2 0
1 2 0
0 0 0
0 0 1
0 1 1
0 2 1
1 0 0
10 3
0 3 1
0 3 3
2 1 3
0 0 3
2 0 2
3 0 2
0 2 1
3 1 2
3 3 0
1 1 0
10 3
3 0 1
2 2 2
3 1 2
0 3 2
3 1 1
1 1 2
2 1 0
3 1 0
2 2 3
3 3 3
10 8
2 2 1
2 1 0
2 1 1
2 3 1
1 1 1
1 1 2
2 3 0
3 1 0
3 3 1
3 2 1
10 6
0 1 2
1 0 2
0 2 2
2 2 0
1 0 0
2 2 2
2 1 1
0 2 1
0 0 0
2 0 2
10 2
1 0 2
0 3 1
2 3 3
1 1 3
0 3 2
0 1 1
1 3 1
0 3 0
3 3 1
2 0 3
10 9
1 0 1
0 2 0
1 2 0
2 2 0
1 2 2
2 1 0
0 2 1
2 1 2
0 0 2
0 0 1
10 7
1 2 1
3 3 0
2 3 0
2 2 0
2 3 2
3 2 3
0 3 2
1 1 3
1 1 1
2 1 2
10 2
0 1 1
3 0 1
3 3 1
3 0 2
3 2 1
0 2 0
1 3 0
2 1 2
1 1 0
2 1 3
10 9
1 0 1
2 2 0
2 1 0
1 1 2
1 2 1
0 1 2
0 2 2
1 1 1
2 0 0
1 2 0
10 5
0 1 1
2 2 2
1 2 1
0 0 1
0 1 2
0 2 2
1 1 0
0 0 0
1 0 1
1 0 2
10 4
0 2 2
2 1 1
1 1 2
0 0 1
1 1 1
1 2 1
1 2 2
0 2 1
2 1 0
2 2 0
10 4
0 1 2
3 2 0
3 1 0
3 0 2
3 1 1
2 2 3
3 0 3
2 0 1
1 2 1
0 2 0
10 8
2 2 0
1 1 2
1 2 2
0 2 1
1 1 0
1 2 0
0 0 1
1 1 1
1 2 1
0 1 1
10 4
1 0 2
0 2 1
1 2 1
1 1 2
2 1 1
2 0 0
2 1 0
0 2 0
1 1 1
0 1 1
10 3
0 1 0
1 3 2
3 1 1
3 0 0
0 0 3
0 1 1
0 0 2
0 0 0
2 3 2
3 1 0
10 8
0 1 1
2 0 2
0 3 2
2 3 0
3 3 2
1 1 0
3 2 3
2 2 1
3 2 1
2 1 1
10 9
3 2 0
0 0 2
0 2 1
3 3 3
2 3 1
0 3 2
0 2 2
2 2 0
1 1 0
2 3 3
10 2
2 1 3
3 3 3
3 3 0
1 2 3
1 3 1
3 2 2
3 1 2
2 3 0
1 0 3
1 1 1
10 8
1 1 0
0 1 1
0 0 1
2 0 2
1 2 2
1 2 1
1 0 2
0 2 1
1 1 1
0 1 2
10 8
3 2 3
1 0 3
2 3 3
1 2 1
3 3 3
2 2 2
2 0 1
2 1 3
3 2 2
2 2 1
10 2
0 0 3
1 0 2
1 0 1
2 3 0
1 1 2
3 0 0
0 2 3
2 0 3
3 2 0
3 2 3
10 4
0 2 1
1 1 1
0 1 2
0 1 1
0 0 2
2 1 0
0 1 0
2 2 0
1 1 2
0 2 2
10 4
0 0 3
1 2 2
0 3 1
1 2 3
2 1 3
3 3 0
3 1 0
0 3 3
0 1 3
1 3 0
10 3
1 0 1
0 1 2
2 2 2
0 1 3
1 1 1
2 1 2
3 1 0
2 2 0
2 0 0
1 3 1
10 8
3 1 0
0 2 1
3 0 3
1 0 3
1 1 3
0 0 2
3 2 1
3 0 0
2 0 3
1 2 1
10 9
2 0 2
0 0 2
0 0 0
2 1 1
2 0 0
1 1 0
0 1 1
0 2 1
2 1 2
1 0 0
10 9
2 1 0
0 2 3
1 2 3
2 0 1
1 2 1
1 2 2
3 1 2
3 2 1
2 3 3
3 2 3
10 2
1 2 2
0 0 0
2 1 2
2 2 2
2 1 1
1 2 1
1 0 0
2 2 0
0 2 1
1 0 2
10 5
2 2 0
1 0 1
0 0 0
1 2 0
2 2 2
1 2 2
1 2 1
0 1 1
0 1 0
0 2 2
10 4
1 0 2
0 1 2
3 1 0
1 0 3
0 0 3
0 2 2
3 3 0
1 1 1
3 2 0
1 2 0
10 3
0 2 0
1 2 3
1 2 1
3 3 1
1 2 0
0 0 2
0 2 1
1 0 3
1 2 2
3 0 2
10 4
0 1 0
2 3 3
3 1 1
0 1 3
2 0 1
2 0 3
0 2 0
2 0 2
3 0 1
2 0 0
10 5
2 1 1
1 0 2
1 0 1
2 0 2
0 2 1
2 2 2
0 2 0
0 1 1
1 2 0
1 1 2
10 4
1 0 1
0 0 1
0 2 2
0 0 2
1 1 2
1 2 1
0 1 0
1 0 0
1 2 2
2 1 2
10 5
2 0 0
2 0 2
1 1 0
0 1 2
1 0 2
1 1 2
1 0 1
0 2 2
1 2 2
2 0 1
10 7
1 2 3
0 1 2
1 0 0
0 0 2
3 3 3
0 3 0
2 3 1
1 1 3
2 1 1
0 1 0
10 5
0 0 2
1 1 0
2 3 2
2 2 1
3 2 3
2 2 2
0 0 1
2 1 3
3 1 0
2 0 0
10 7
2 2 1
3 0 0
0 0 0
1 1 3
2 1 0
1 2 0
0 2 3
3 0 3
0 3 2
1 0 2
10 7
0 1 2
0 1 1
2 1 0
1 1 0
1 1 1
2 2 2
2 0 0
2 0 2
1 1 2
1 2 1
10 5
2 0 2
1 2 2
0 2 2
0 0 0
0 1 1
1 0 1
0 2 0
2 1 2
2 0 0
0 2 1
10 8
0 0 0
2 2 2
1 2 1
0 2 2
2 2 1
0 1 1
1 2 0
2 0 0
1 1 1
0 0 1
10 7
0 2 1
1 1 2
0 0 0
2 0 0
1 0 0
0 1 0
0 1 2
2 1 0
2 1 1
1 0 1
10 8
0 2 1
1 0 0
0 1 0
2 2 2
0 1 2
0 2 2
0 1 1
0 0 0
2 1 0
1 2 1
10 6
3 3 3
0 1 2
0 0 3
3 3 1
1 1 1
2 0 1
0 1 3
0 1 1
3 3 0
1 2 3
10 3
3 3 0
1 0 0
3 1 1
3 0 2
0 0 0
1 3 1
2 1 2
2 0 0
1 2 3
3 2 0
10 7
0 1 0
3 0 3
0 2 1
3 2 2
0 2 3
3 0 0
0 1 3
3 1 3
0 3 3
3 3 2
10 4
1 2 3
0 3 1
1 2 2
0 0 3
3 2 3
1 0 0
2 3 0
3 1 0
3 2 1
1 1 3
10 8
2 1 2
0 2 1
1 2 0
1 2 2
1 2 1
1 1 1
2 1 0
1 1 0
2 2 1
0 2 2
10 2
2 1 1
2 0 2
2 2 0
0 1 0
1 2 1
1 0 1
0 0 2
2 0 0
0 0 1
0 1 2
10 2
0 1 1
1 1 2
2 2 1
2 0 1
1 2 0
2 1 0
0 2 0
0 2 1
1 2 2
1 1 0
10 9
0 1 1
3 3 0
0 3 2
3 0 2
2 3 1
0 2 0
3 1 1
2 2 3
0 2 3
0 1 2
10 9
0 1 0
1 0 2
2 2 0
0 2 1
0 0 2
1 1 2
1 0 0
0 0 1
1 0 1
2 2 1
10 6
3 0 3
1 2 0
0 3 3
3 3 2
0 3 2
0 2 1
0 1 2
2 3 1
0 2 0
2 1 2
10 9
2 1 3
2 2 2
2 2 3
1 1 2
3 0 2
3 0 0
0 2 2
3 2 3
0 0 3
1 3 2
10 2
0 0 2
1 2 1
2 1 1
2 2 2
2 0 1
0 1 1
0 0 0
1 1 2
1 1 1
1 0 0
10 8
0 2 0
0 1 1
1 1 0
0 1 2
2 2 0
1 0 1
1 2 2
2 2 1
1 2 1
2 1 0
10 3
2 0 1
1 1 0
1 2 1
0 0 2
2 0 0
2 2 2
0 1 1
2 1 2
1 1 2
0 0 1
10 9
1 1 1
1 0 1
2 0 1
1 1 2
0 0 1
0 0 0
2 0 2
0 1 2
0 1 1
2 2 1
10 6
0 1 0
2 1 2
0 2 3
1 0 1
2 2 2
3 0 0
3 0 3
0 0 2
1 3 2
1 0 3
10 4
0 1 1
0 2 0
1 0 2
2 0 2
1 1 2
2 0 0
0 2 2
2 2 2
0 1 2
0 2 1
10 7
2 0 1
0 0 1
0 1 1
2 1 2
0 2 1
2 0 0
0 1 0
1 1 2
1 1 0
1 2 1
10 5
1 1 2
1 0 1
0 2 2
1 0 0
2 1 1
0 1 1
2 0 0
2 0 2
2 2 1
1 2 1
10 8
1 2 1
0 1 0
1 2 0
0 2 2
2 0 1
0 2 1
1 1 1
0 0 1
2 2 0
1 1 0
10 4
2 3 1
0 2 0
1 1 0
2 3 2
1 0 0
0 3 3
3 3 3
3 3 1
2 3 0
3 1 3
10 2
0 2 2
2 1 0
1 2 1
2 0 1
2 1 3
3 2 0
2 2 0
3 1 1
0 3 1
1 1 1
10 7
1 2 2
0 0 2
2 2 2
1 2 1
0 1 2
2 1 0
0 0 1
2 1 1
0 2 0
1 0 2
10 2
2 2 2
0 0 2
1 2 0
0 1 0
2 0 1
0 3 0
3 1 2
3 2 1
2 3 1
2 3 2
10 3
0 1 1
0 0 0
0 0 2
1 0 2
2 1 0
0 2 0
0 1 0
2 1 1
2 1 2
1 2 2
10 6
0 1 2
1 0 1
0 0 1
1 0 0
1 1 1
2 1 0
1 2 0
2 1 1
1 1 2
0 2 2
10 2
2 3 0
1 1 3
3 2 0
0 0 3
0 3 0
3 3 1
1 3 1
1 3 0
0 2 1
0 1 3
10 5
0 1 2
0 2 0
1 0 2
0 0 1
2 2 2
0 0 2
1 2 1
1 2 0
1 1 0
1 1 1
10 8
1 0 2
1 0 1
2 1 0
2 0 2
2 2 1
2 1 2
2 2 2
1 0 0
0 1 2
2 0 0
10 4
2 1 0
0 2 1
2 0 0
2 0 2
0 2 0
1 2 2
1 2 0
1 0 2
2 2 1
2 2 2
10 6
2 1 1
2 1 0
1 0 1
2 1 2
1 1 2
1 2 2
1 0 0
0 0 0
2 2 1
1 0 2
10 4
1 2 0
2 2 2
3 3 1
2 3 2
0 1 1
2 2 1
2 3 0
3 1 2
0 0 0
1 2 1
10 6
0 1 1
2 0 1
1 2 1
2 1 1
0 0 1
2 2 1
1 2 2
1 2 0
2 0 0
0 0 2
10 5
0 2 0
2 0 0
2 1 1
0 2 1
1 0 0
1 2 2
2 0 2
0 1 1
2 1 2
1 2 0
10 2
1 0 3
3 0 1
1 2 3
1 1 1
3 0 0
3 2 3
3 3 2
3 2 1
1 2 1
3 3 0
10 2
2 3 3
2 2 1
2 0 1
0 0 3
1 3 1
2 1 1
1 1 0
0 0 2
2 2 0
2 3 1
10 3
0 1 1
2 2 0
1 0 1
2 2 1
2 2 2
1 2 0
1 2 1
0 1 0
2 0 1
1 2 2
10 3
0 1 0
2 3 1
3 0 3
1 0 0
2 2 1
0 2 0
1 0 3
0 3 2
1 2 2
1 1 3
10 5
1 1 2
2 1 1
2 0 2
0 1 2
1 1 1
1 0 2
0 0 2
0 2 2
1 2 0
0 0 0
10 6
0 1 2
3 0 3
0 1 1
1 0 1
0 1 0
3 3 0
3 1 2
2 2 0
1 1 0
3 2 3
10 5
3 3 0
0 0 1
1 1 0
0 3 2
3 1 0
0 2 1
0 3 1
2 3 3
2 1 1
1 2 3
10 2
2 1 0
1 2 1
0 2 2
1 1 0
0 0 2
1 0 2
2 1 2
0 0 0
1 0 1
2 2 0
10 6
2 1 0
1 0 0
0 0 0
2 2 1
1 2 2
0 0 1
1 0 1
0 0 2
2 1 2
0 1 1
10 5
1 1 0
1 0 2
0 0 1
2 0 2
0 2 2
1 1 2
0 2 0
0 0 2
0 0 0
2 2 2
10 5
0 1 2
1 2 0
0 0 1
0 2 1
2 2 0
2 2 1
2 0 2
0 1 0
2 0 0
1 2 2
10 3
1 1 2
3 2 1
0 0 2
3 0 1
0 0 0
2 1 1
0 1 1
2 0 3
1 3 0
0 3 3
10 5
3 1 3
3 3 2
2 2 3
2 3 1
2 1 2
0 2 1
2 1 0
0 0 0
3 1 0
3 3 1
10 8
3 3 0
2 0 1
2 3 1
1 2 1
1 0 3
1 3 2
2 3 2
0 3 0
2 2 1
2 3 3
10 9
1 2 1
2 3 0
0 3 1
3 1 3
3 1 2
0 0 1
3 3 1
0 1 1
2 2 2
3 0 2
10 9
1 2 1
1 2 2
1 1 1
2 1 0
1 1 2
0 0 0
2 2 1
2 2 2
2 2 0
0 2 2
10 8
0 3 1
2 3 0
2 1 3
0 1 3
0 3 3
1 2 1
2 0 1
3 0 0
2 2 1
2 3 2
10 6
1 1 1
2 1 2
2 0 3
3 1 0
0 2 1
3 3 1
0 1 1
2 2 3
2 3 0
0 0 3
10 7
3 3 2
0 3 3
2 3 3
1 2 3
0 1 1
2 1 2
2 2 0
2 1 1
0 0 3
3 3 3
10 8
2 2 0
1 2 1
1 2 2
1 0 2
2 0 0
1 1 0
0 0 0
0 2 0
1 1 2
0 0 2
10 2
1 2 0
1 0 1
1 0 0
1 3 3
0 3 2
0 2 2
0 1 1
3 2 0
3 1 2
3 3 2
10 3
2 1 2
0 0 2
1 1 2
1 2 2
2 0 0
2 0 2
1 0 0
0 1 1
0 2 2
0 0 0
10 3
0 0 1
1 3 0
1 0 2
3 3 1
2 1 3
3 1 3
1 0 0
3 1 2
3 1 1
1 1 1
10 4
3 2 1
2 3 0
3 0 0
0 0 3
2 3 3
0 2 3
2 1 2
2 2 3
1 3 3
1 3 0
10 9
1 2 0
2 1 1
0 2 0
0 1 1
1 0 0
0 1 2
0 0 2
2 1 2
2 2 0
1 2 1
10 5
0 1 0
0 0 2
2 2 0
2 1 2
2 1 1
2 0 2
1 2 0
0 2 2
1 0 2
0 1 2
10 4
0 1 1
2 0 2
3 0 3
3 1 0
0 1 2
3 0 2
1 1 0
3 3 1
3 2 0
3 3 2
10 8
2 2 1
2 1 1
1 2 2
0 0 0
0 1 0
1 1 0
2 2 0
2 1 0
1 2 0
0 2 1
10 8
2 2 2
0 1 1
2 0 1
2 2 1
0 2 0
2 0 0
0 2 2
0 1 0
2 2 0
0 0 1
10 2
2 1 1
0 2 0
1 1 2
0 1 0
1 2 1
2 2 2
2 1 0
1 1 1
2 2 0
1 2 2
10 4
2 1 0
0 0 2
2 0 0
1 2 1
2 1 2
0 2 1
0 0 0
0 2 2
1 0 2
1 1 0
10 9
3 1 0
3 0 1
2 2 0
0 2 2
3 2 1
3 3 2
1 3 2
0 3 3
1 3 0
2 0 0
10 4
0 0 2
2 2 1
0 1 0
2 1 1
2 0 2
2 0 0
1 1 0
1 0 1
0 1 2
1 2 0
10 5
0 2 2
0 1 0
2 2 2
1 1 2
0 2 1
1 1 0
2 2 0
1 2 1
1 0 2
2 1 0
10 7
2 0 0
0 0 1
1 1 0
2 1 2
0 1 2
2 0 2
2 3 2
1 2 3
0 2 1
1 0 1
10 9
1 0 1
0 0 0
1 0 0
1 1 2
2 0 0
1 0 2
2 1 2
2 0 2
1 1 1
1 2 0
10 2
2 1 0
1 1 1
2 1 2
1 0 0
2 2 0
1 1 2
0 0 1
2 0 0
1 2 2
0 1 2
10 5
0 0 2
1 3 1
3 0 3
1 0 2
0 0 0
3 1 0
1 0 3
3 3 2
0 2 1
3 1 1
10 3
1 1 2
3 3 0
0 0 2
3 1 2
3 0 2
1 1 3
1 3 2
3 1 0
2 2 3
1 0 0
10 8
2 0 2
1 2 1
0 1 0
0 2 1
0 0 1
1 0 0
1 2 2
0 2 2
1 1 0
2 1 1
10 3
0 0 0
2 2 2
0 1 0
0 1 1
0 2 2
0 2 1
1 1 1
0 2 0
0 0 1
2 1 2
10 3
1 0 1
2 2 0
2 0 2
0 0 2
1 2 0
2 2 2
1 1 1
0 2 2
1 2 1
2 0 0
10 2
1 3 3
1 1 1
0 0 2
2 0 3
1 1 0
1 1 3
3 0 0
0 3 2
0 2 0
2 1 3
10 9
1 2 0
2 1 0
1 0 0
1 0 1
0 2 1
1 1 2
1 1 1
2 0 0
2 0 1
1 2 1
10 4
2 1 1
1 0 1
3 1 1
2 2 0
2 0 2
1 1 2
1 3 1
0 0 2
0 1 0
1 0 3
10 9
1 2 0
1 0 2
1 2 1
1 1 2
0 1 1
2 0 2
2 2 0
1 1 0
2 0 0
0 1 2
10 7
1 2 0
0 2 1
2 0 1
2 2 1
0 1 2
2 2 2
2 0 0
0 0 1
1 0 0
1 2 2
10 8
3 1 0
0 0 1
3 1 2
0 1 2
1 0 2
2 2 1
0 2 1
1 0 0
0 3 3
3 2 0
10 2
3 2 2
0 1 0
3 3 3
2 2 3
2 1 0
2 3 1
0 1 2
0 2 3
1 1 0
2 0 3
10 7
3 1 3
3 0 3
1 1 3
1 2 1
2 2 0
2 0 3
1 1 0
1 0 1
3 2 2
3 0 2
10 2
3 0 3
0 2 0
3 3 0
2 3 0
3 2 3
1 3 2
2 3 1
3 2 2
0 0 0
2 1 0
10 8
0 0 2
2 0 1
0 1 2
2 0 0
2 1 0
1 2 1
1 1 1
2 0 2
2 1 2
0 1 0
10 6
0 2 0
0 1 0
1 1 2
2 1 2
0 0 0
1 0 2
0 0 2
1 2 2
2 0 1
1 2 1
10 9
3 0 3
1 2 3
1 3 3
3 0 0
1 0 0
0 1 3
2 3 2
3 0 1
2 2 1
1 2 2
10 3
3 0 0
3 0 3
0 0 3
1 0 1
2 1 1
0 0 2
1 1 0
1 1 1
0 2 0
0 3 2
10 7
2 2 1
3 0 2
0 3 2
0 2 1
1 0 2
0 0 1
3 0 3
3 2 0
1 2 2
0 0 2
10 5
0 2 2
3 2 2
3 3 0
1 3 1
0 0 1
0 3 3
0 0 3
2 2 2
2 3 1
3 3 2
10 3
0 3 1
2 0 0
1 2 0
2 3 1
0 0 1
0 3 2
1 0 3
0 1 0
2 2 0
1 1 0
10 8
2 2 2
1 0 2
0 1 1
0 2 0
1 1 1
1 1 0
2 2 0
1 0 0
0 1 0
1 0 1
10 4
2 1 2
0 0 0
0 1 2
0 2 2
0 0 1
1 0 0
2 1 0
1 0 2
1 2 0
1 1 2
10 6
2 1 2
2 1 1
3 2 1
2 2 3
0 1 1
0 3 0
0 0 0
3 3 3
3 0 2
3 2 0
10 6
1 1 2
1 2 0
2 1 2
1 0 0
1 0 1
0 1 2
2 0 2
1 1 0
2 2 1
1 2 1
10 3
0 2 2
1 2 0
0 0 2
2 1 1
2 2 1
0 2 1
0 0 1
0 1 0
0 1 2
1 1 0
10 4
0 0 1
2 1 1
1 2 0
0 0 2
0 0 0
2 0 1
0 1 0
2 0 2
0 1 2
2 1 2
10 8
3 2 2
3 2 3
0 3 0
0 2 3
2 1 2
0 0 2
1 2 2
2 0 2
1 0 3
2 0 0
10 3
0 1 1
0 1 0
1 1 1
1 0 1
1 0 2
2 1 1
2 0 1
0 2 1
0 2 2
1 0 0
10 4
1 1 1
1 0 1
0 0 0
2 2 2
0 2 0
1 2 0
2 0 1
1 0 0
2 1 0
1 2 1
10 5
0 0 0
1 1 1
0 2 1
0 2 2
0 1 2
2 2 0
2 1 1
2 2 2
1 2 2
1 0 2
10 3
0 0 1
0 2 3
2 1 2
2 2 0
1 0 2
2 1 1
0 0 3
1 1 3
3 1 3
1 1 0
10 7
1 3 0
1 1 1
0 1 1
0 1 0
2 2 2
3 3 2
0 2 3
3 0 2
3 1 1
2 3 1
10 2
2 0 0
1 1 0
2 0 1
2 2 0
0 0 0
2 1 0
0 1 2
2 1 2
2 0 2
1 0 1
10 5
2 2 3
0 0 0
3 0 2
2 1 3
3 2 1
1 3 1
1 0 0
1 3 0
3 1 2
0 2 0
10 6
3 1 1
0 0 2
2 1 3
1 1 2
0 0 1
1 2 3
1 1 0
0 3 0
2 3 3
3 2 3
10 8
2 0 2
1 1 0
0 1 2
0 2 1
1 2 0
2 2 1
0 1 0
1 2 1
0 2 0
1 1 2
10 4
1 0 2
1 1 1
1 1 2
0 1 0
2 2 1
2 1 1
2 2 0
0 0 0
0 1 1
1 0 1
10 7
3 0 3
0 1 0
3 0 0
2 3 1
3 2 3
2 0 3
0 2 2
3 3 3
2 1 2
0 2 3
10 4
2 3 3
1 1 0
3 3 0
2 1 2
0 0 0
3 1 0
3 3 2
2 1 0
2 2 2
0 0 3
10 4
3 0 1
2 1 1
0 2 1
1 0 2
2 2 0
2 0 3
2 2 2
3 1 0
2 1 0
1 0 0
10 5
1 1 1
2 1 1
0 0 0
3 1 3
2 2 3
3 2 1
1 0 2
3 0 1
1 0 0
2 1 2
10 2
0 2 2
2 2 0
0 2 1
2 0 0
0 1 0
0 2 0
0 0 2
2 1 1
1 2 0
1 0 2
10 7
1 1 2
0 1 0
0 2 2
0 1 2
2 0 1
2 1 0
0 0 0
1 0 0
1 0 2
1 1 0
10 6
1 0 2
0 0 0
0 1 1
1 2 2
0 0 2
2 0 1
2 2 2
1 1 2
1 2 1
0 2 1
10 9
0 2 1
1 0 3
1 2 0
0 3 0
1 0 2
2 2 0
1 1 2
1 0 1
0 2 3
1 1 3
10 8
3 3 0
3 0 1
3 3 1
3 2 2
1 3 0
0 2 0
1 0 2
0 2 3
2 0 3
0 1 1
10 8
2 2 2
1 1 0
1 2 0
1 2 2
0 0 2
0 2 0
2 1 1
0 2 2
2 1 0
0 1 2
10 9
3 2 1
0 0 2
1 0 3
1 0 1
1 1 2
0 1 3
2 3 0
2 2 1
3 1 0
3 2 2
10 7
3 3 3
3 2 1
3 3 1
3 0 2
0 2 3
2 1 2
2 1 1
2 2 2
2 1 0
0 1 0
10 8
2 2 2
0 1 0
1 1 2
0 0 2
2 2 1
0 1 1
1 0 2
1 2 2
0 2 1
1 0 1
10 4
1 0 3
3 0 2
3 3 3
0 2 3
1 2 1
3 1 0
3 3 2
1 1 0
0 3 1
2 3 3
10 2
1 2 3
3 2 3
1 3 1
2 2 3
0 3 1
1 3 2
2 0 1
0 1 2
1 1 1
0 2 3
10 8
2 0 0
0 0 2
1 0 2
1 1 2
0 2 0
2 2 2
1 0 0
2 2 1
0 1 1
1 1 1
10 3
3 0 3
3 2 1
2 1 3
2 2 2
0 3 2
0 1 0
1 3 3
3 2 3
1 1 3
3 2 0
10 7
0 2 1
1 1 2
0 2 2
1 2 0
2 0 2
2 0 0
1 2 1
2 2 2
2 0 1
2 1 1
10 9
1 3 3
0 1 2
2 1 3
3 2 1
0 2 1
1 0 2
2 1 0
0 0 3
0 0 2
1 3 1
10 4
0 1 2
0 2 2
0 2 1
0 0 2
2 2 0
1 1 0
0 0 1
2 2 1
2 1 2
2 2 2
10 8
2 0 0
2 2 1
1 2 2
1 1 1
2 2 2
1 1 2
1 2 1
0 2 1
1 0 1
1 1 0
10 4
1 1 2
2 2 0
1 1 1
2 1 0
2 0 1
0 0 2
2 0 2
2 0 0
2 2 2
1 1 0
10 2
2 3 0
2 3 3
0 3 0
1 2 0
2 0 3
0 1 2
0 1 1
2 2 0
1 2 3
1 1 3
10 7
0 1 1
2 1 0
0 2 1
1 2 2
2 0 1
0 0 1
2 2 2
1 1 2
1 1 0
1 0 1
10 2
2 2 1
1 0 0
0 1 0
0 2 0
0 1 2
2 0 1
0 1 1
0 0 2
0 2 2
1 2 2
10 7
0 2 1
0 2 0
0 2 2
1 0 2
2 0 0
0 1 2
2 1 2
0 1 0
2 2 1
1 0 1
10 4
0 1 2
1 1 1
1 1 0
2 1 1
0 2 0
2 0 1
0 0 1
2 0 0
2 1 2
1 0 1
10 7
2 1 1
2 0 1
0 2 0
0 1 1
2 2 2
0 1 2
0 0 0
1 0 0
1 1 0
0 0 2
10 3
3 2 3
1 0 3
3 3 0
1 2 2
1 1 0
1 3 1
0 3 2
2 0 0
2 3 1
0 0 2
10 8
0 3 3
2 1 1
1 3 1
2 2 1
1 3 2
3 1 3
2 1 3
3 2 1
0 0 1
1 1 1
10 7
1 2 1
2 2 1
0 2 1
0 2 0
1 0 1
2 1 0
2 0 1
0 0 0
0 0 2
1 1 0
10 8
1 0 0
2 2 0
1 2 2
2 0 2
2 1 1
0 1 1
0 0 1
2 0 1
0 0 0
1 2 1
10 2
0 1 2
0 0 1
0 2 0
2 0 0
0 1 0
0 2 2
0 0 0
2 2 1
0 1 1
1 1 1
10 4
1 0 2
0 2 2
0 0 1
2 1 0
1 2 0
1 1 0
2 0 0
0 1 0
0 2 0
2 1 1
10 8
2 1 2
0 1 1
1 1 0
0 2 3
0 0 3
1 2 2
0 3 3
0 1 3
2 2 2
3 2 2
10 3
1 1 1
0 0 1
2 2 0
0 1 2
2 1 1
0 1 1
0 2 1
2 0 0
0 1 0
1 2 0
10 3
1 2 2
1 2 0
0 0 2
1 2 1
2 1 0
1 0 1
0 2 0
2 0 1
0 2 1
2 0 2
10 8
0 2 1
0 0 1
1 2 0
2 1 2
0 1 0
1 1 1
2 0 1
0 2 0
1 2 1
0 0 2
10 4
1 3 0
1 1 2
0 1 0
0 2 2
3 0 0
1 2 0
0 0 2
3 2 0
2 1 0
1 1 1
10 8
1 1 1
1 0 0
0 2 1
0 0 0
1 2 2
0 1 1
2 0 0
0 0 1
2 1 0
1 0 1
10 5
1 2 2
0 2 1
1 1 1
1 2 0
2 1 2
1 0 0
1 1 0
0 2 0
0 0 1
0 0 0
10 7
3 2 1
0 0 3
0 1 0
2 0 2
3 0 0
0 2 1
1 1 0
3 3 1
1 0 0
2 0 1
10 3
0 0 2
2 2 2
1 2 0
2 2 1
0 2 2
0 1 1
1 1 0
1 2 2
2 2 0
1 0 1
10 6
1 0 2
1 2 2
2 1 0
2 1 1
0 2 0
2 1 2
2 0 0
1 0 1
0 1 2
1 0 0
10 5
2 0 2
0 0 0
1 0 1
1 2 0
1 1 1
0 2 2
0 1 0
2 0 1
1 0 2
1 2 2
10 6
2 3 2
0 0 3
0 2 1
2 0 3
2 3 0
0 3 0
0 1 3
0 0 0
2 1 3
0 0 1
10 3
1 0 2
0 2 0
2 0 0
2 2 2
0 0 2
1 2 2
2 0 1
1 0 1
2 2 0
1 1 1
10 9
2 2 1
2 2 2
1 0 1
1 2 1
0 1 0
1 0 2
2 2 0
2 0 0
2 0 1
0 1 2
10 6
0 0 2
1 2 2
2 0 2
0 1 1
0 0 1
0 2 1
1 1 1
2 2 1
2 1 2
0 1 2
10 4
0 0 1
2 2 1
0 0 0
2 2 2
0 1 2
2 0 1
0 0 2
1 2 2
0 2 0
0 1 0
10 6
1 3 0
1 2 3
3 0 3
3 3 0
2 1 1
3 1 2
0 2 3
2 3 2
3 2 0
1 3 1
10 2
2 1 0
2 3 3
3 0 3
2 1 1
2 0 2
2 3 0
3 1 3
1 2 1
1 3 2
0 1 3
10 8
2 2 1
2 2 2
1 2 2
0 2 1
0 0 1
2 0 1
1 1 0
1 2 1
2 0 2
2 1 0
10 8
2 0 0
1 0 0
1 2 1
2 0 1
0 0 1
1 2 2
0 2 2
0 1 2
0 0 2
2 1 0
10 9
1 0 1
2 1 2
2 2 2
0 1 1
2 1 0
2 2 0
0 2 0
1 0 2
0 2 1
2 0 1
10 9
3 2 2
0 2 3
0 1 0
3 1 2
3 2 0
0 1 2
2 3 3
1 2 2
3 2 3
2 0 1
10 7
1 1 3
0 2 1
1 0 0
0 0 1
2 0 0
3 1 0
0 3 1
0 3 2
3 1 3
0 2 2
10 7
1 0 3
2 0 1
0 3 3
1 0 0
2 1 1
0 3 1
0 2 1
3 0 2
3 2 3
0 1 1
10 2
0 1 2
1 1 1
2 2 2
2 1 2
0 2 1
1 2 1
2 2 1
0 2 0
2 0 0
0 1 1
10 3
1 2 2
1 2 1
1 0 2
2 0 0
2 1 0
0 1 2
2 1 1
1 0 1
2 0 2
2 2 2
10 9
0 3 3
0 3 1
1 0 0
1 2 3
1 0 3
2 1 2
1 1 1
0 0 0
0 2 1
3 1 2
10 4
0 0 0
2 0 2
1 1 0
1 1 1
2 1 1
0 2 2
0 2 0
2 1 2
0 1 0
0 1 1
10 8
0 1 1
1 2 2
1 0 2
0 2 1
0 0 0
1 2 1
0 2 2
0 0 1
0 2 0
0 1 0
10 9
1 2 2
1 0 1
0 1 2
1 0 0
2 2 1
0 2 2
2 0 2
0 2 0
1 0 2
2 2 2
10 8
0 2 1
2 1 1
2 2 0
1 0 0
0 1 2
1 0 1
0 2 2
2 1 0
1 2 1
1 1 2
10 9
1 2 1
2 1 2
2 0 1
1 2 2
2 1 0
0 2 1
1 0 0
0 1 0
2 2 0
0 1 2
10 3
1 0 0
2 1 0
0 2 2
1 2 1
2 1 2
2 1 1
0 0 0
1 2 2
1 1 0
1 0 2
10 3
0 2 1
1 0 1
3 2 0
3 0 3
3 3 1
1 2 0
1 2 1
2 0 1
0 1 0
3 2 3
10 9
1 0 0
3 2 3
2 1 3
1 2 1
2 0 3
1 2 2
2 3 3
1 1 0
0 1 0
3 0 3
10 7
2 2 1
0 1 1
2 2 0
1 2 0
0 0 2
0 1 0
1 0 2
0 2 1
2 1 1
2 0 1
10 2
3 2 2
3 1 2
0 0 1
0 3 1
0 3 3
2 2 2
2 3 3
1 3 2
0 2 1
1 1 3
10 3
3 0 3
1 3 2
2 2 3
1 0 2
1 1 2
3 1 1
3 3 1
0 1 3
0 1 2
0 0 1
10 3
1 0 1
0 3 0
1 2 1
0 2 0
2 0 0
2 0 2
1 1 3
3 3 3
0 3 1
1 0 3
10 6
2 3 1
2 1 0
3 2 1
2 0 0
2 2 1
3 0 0
0 0 1
0 2 3
1 0 2
3 0 1
10 6
0 1 3
2 1 3
0 3 0
1 0 3
2 1 0
1 1 2
2 2 3
3 1 1
2 0 0
2 2 1
10 7
2 3 2
3 1 2
2 1 2
1 3 0
3 2 0
2 1 1
3 0 3
2 0 0
1 1 0
3 2 2
10 8
3 1 1
0 3 0
0 2 3
3 3 0
2 2 3
2 2 2
2 1 1
2 1 0
0 1 3
1 0 3
10 6
0 0 0
0 1 0
0 1 2
2 2 0
0 1 3
0 3 1
2 1 1
2 2 2
3 1 1
0 3 2
10 6
0 0 3
2 1 3
2 0 0
1 2 2
3 3 3
3 2 0
1 1 1
2 3 3
0 3 1
1 3 1
10 6
1 1 3
3 3 2
0 2 0
1 0 1
2 2 3
3 0 2
3 2 3
0 0 2
3 0 0
1 3 0
10 4
2 2 2
1 1 2
0 1 2
0 0 0
2 0 2
2 1 2
1 2 1
2 1 1
1 1 0
2 0 0
10 8
3 2 2
0 0 2
2 2 1
0 2 1
2 1 1
3 2 1
3 3 0
3 0 1
2 0 2
2 3 3
10 3
1 1 0
2 0 2
1 0 1
2 2 0
2 2 2
0 2 2
0 1 0
1 0 0
0 1 1
0 0 0
10 7
2 0 0
2 1 0
1 2 2
0 2 2
1 1 0
0 2 0
2 0 2
1 0 0
0 2 1
1 1 2
10 4
2 2 2
0 0 2
1 1 0
1 3 1
3 3 3
1 2 1
3 3 0
1 1 1
3 0 2
0 1 3
10 4
2 0 0
0 2 0
0 0 1
1 1 0
1 1 2
2 0 1
0 1 0
0 0 2
1 2 0
0 1 1
10 2
2 1 0
0 2 0
0 1 1
0 2 2
1 2 2
2 1 2
0 1 0
0 0 1
1 1 0
0 2 1
10 8
1 2 0
0 0 0
1 0 0
1 1 0
2 2 0
2 1 1
2 2 2
0 2 0
1 1 2
2 0 2
10 8
2 2 0
2 1 2
1 1 1
0 1 1
0 2 1
1 2 1
1 0 1
2 0 0
0 2 2
1 1 2
10 6
3 3 3
2 2 0
2 0 1
0 3 2
2 0 0
1 0 3
1 0 0
1 3 3
1 3 2
2 2 1
10 2
1 0 1
0 1 0
2 1 0
1 2 1
0 2 2
1 0 0
0 1 2
1 1 1
2 2 0
2 1 1
10 9
0 3 0
2 2 0
0 1 3
3 2 2
0 2 3
1 3 3
3 1 0
2 0 0
1 3 0
3 0 1
10 3
0 0 1
0 2 2
1 2 0
1 1 1
2 2 0
0 0 0
0 1 1
1 1 0
0 1 2
1 1 2
10 6
3 3 0
0 0 0
3 2 3
3 1 1
2 3 3
0 2 0
0 0 2
3 1 2
0 1 3
2 2 2
10 5
0 1 2
0 2 1
1 1 1
2 2 2
1 1 0
0 1 0
0 2 2
2 2 0
1 1 2
2 2 1
10 9
0 0 1
1 1 1
1 2 0
2 0 0
0 2 0
0 1 2
2 0 2
2 1 1
1 0 2
1 0 0
10 6
2 1 2
2 2 2
2 0 2
0 2 2
0 1 0
1 1 0
2 0 0
0 0 1
0 1 2
0 0 2
10 6
1 1 2
0 1 2
1 1 1
1 2 0
1 0 1
2 1 2
2 1 1
0 0 2
2 0 0
2 1 0
10 9
1 1 3
3 3 3
3 1 3
0 0 2
1 0 1
3 3 2
2 0 0
0 0 0
1 3 2
1 2 3
10 4
1 3 1
0 0 3
0 0 1
1 2 3
0 2 1
2 0 0
2 1 1
0 2 3
3 0 1
1 0 0
10 6
1 1 1
2 0 1
0 0 1
0 0 2
1 0 1
0 1 2
1 2 1
2 0 0
2 2 1
2 1 2
10 2
2 0 0
0 0 2
1 0 0
0 0 1
2 0 1
1 0 1
0 2 2
1 1 0
0 1 1
1 1 2
10 9
0 2 3
1 3 1
2 2 3
2 3 3
3 0 3
2 1 0
0 3 0
3 3 2
0 2 1
0 0 0
10 7
1 1 1
0 0 2
1 0 0
2 1 2
2 0 2
0 1 0
2 2 2
2 0 0
1 2 2
1 1 2
10 9
2 1 1
0 2 1
1 1 1
0 0 1
2 0 2
0 1 2
1 2 0
2 2 1
2 0 1
1 1 2
10 9
0 0 2
2 2 0
0 2 2
1 2 0
2 1 2
0 1 1
2 1 1
1 1 0
0 1 2
1 1 2
10 6
1 1 0
3 2 1
0 3 0
1 1 3
2 2 2
1 0 2
3 0 0
3 2 2
1 0 3
1 2 1
10 7
1 3 0
3 2 0
0 1 2
0 3 3
2 0 1
0 0 2
3 0 3
3 1 1
0 2 3
2 0 3
10 4
0 0 0
0 2 1
2 2 2
0 0 1
0 2 0
2 2 0
2 2 1
2 0 1
2 0 0
1 0 1
10 3
2 1 1
2 3 2
2 3 3
3 3 3
3 3 1
0 1 3
0 2 0
1 0 2
3 1 3
3 0 3
10 5
2 0 0
2 2 3
0 1 3
3 2 0
0 2 3
1 0 3
0 0 1
1 1 0
1 3 3
3 3 2
10 9
1 0 0
1 2 1
1 0 2
2 1 0
2 0 2
1 2 2
0 2 1
1 1 0
0 1 1
2 0 1
10 8
0 2 0
1 0 2
2 1 1
2 1 0
1 2 0
1 2 2
1 1 2
2 2 0
2 0 0
2 0 2
10 7
2 1 0
0 1 2
2 3 1
2 0 0
0 3 1
2 2 3
3 3 0
2 0 2
3 2 2
2 2 2
10 2
2 1 0
1 1 3
2 1 3
0 1 1
0 3 3
3 1 1
0 2 3
0 1 3
3 2 1
2 2 0
10 9
2 0 2
2 0 0
0 1 0
0 0 0
2 1 1
2 1 0
1 1 2
1 0 0
1 2 0
0 0 1
10 3
0 2 3
1 0 1
0 3 3
0 1 1
0 1 3
1 3 0
1 1 1
3 1 2
2 3 2
1 1 2
10 4
3 0 2
2 1 2
1 3 2
0 1 1
3 1 2
0 2 2
2 0 0
3 1 0
0 0 3
3 3 0
10 6
1 2 2
2 0 1
1 1 2
2 0 2
0 2 2
0 1 1
0 2 1
0 0 2
2 2 1
1 1 0
10 4
3 3 3
2 1 0
0 0 3
0 1 3
3 2 2
1 3 0
2 2 1
2 0 0
3 2 3
1 3 2
10 8
3 1 3
2 2 0
1 2 0
3 3 1
1 3 3
2 3 2
2 1 2
1 3 2
0 1 3
2 0 3
10 8
2 2 1
0 0 0
2 0 1
2 1 0
1 0 0
1 2 2
0 2 0
2 1 1
2 0 2
0 0 2
10 2
2 3 1
1 1 1
2 0 3
0 3 3
3 1 1
1 2 1
3 0 1
3 0 2
2 0 1
1 2 0
10 9
1 0 0
1 3 0
0 0 2
3 3 1
2 2 2
1 2 1
3 1 1
1 1 3
3 1 3
3 2 2
10 3
2 2 3
3 3 2
1 2 2
3 0 3
3 1 2
0 0 0
3 3 0
3 1 3
0 0 2
2 1 0
10 7
1 2 1
0 0 1
2 0 0
2 3 1
2 2 0
1 3 1
3 0 3
3 2 3
3 1 1
0 1 0
10 7
2 0 1
1 0 2
0 2 0
0 1 0
0 1 1
1 2 2
1 0 1
0 0 0
1 1 2
0 0 1
10 8
1 1 2
2 2 2
2 1 0
2 0 0
0 2 1
1 0 1
0 2 0
2 0 1
1 2 0
2 2 0
10 5
0 0 0
1 1 1
2 2 2
0 1 0
0 2 0
2 0 2
2 0 1
2 0 0
0 2 2
1 2 2
10 5
2 0 1
2 2 1
0 0 1
0 0 2
1 0 1
0 2 2
2 2 0
1 1 1
1 0 2
0 0 0
10 2
2 1 2
0 1 2
1 2 2
1 1 0
2 1 0
0 1 0
0 2 1
2 0 1
1 1 1
1 0 1
10 7
1 0 2
1 2 2
0 0 2
2 2 0
0 1 2
3 1 2
1 1 0
2 1 2
1 0 1
3 3 1
10 8
2 0 1
0 2 1
1 2 1
0 0 2
0 2 2
2 0 2
0 0 0
1 1 0
1 1 1
0 1 1
10 5
1 2 2
0 2 0
0 0 0
1 2 1
0 0 1
0 0 2
2 2 2
2 0 1
0 1 0
0 1 1
10 7
2 0 2
1 1 0
1 0 1
2 1 0
2 1 2
1 2 1
0 2 0
1 0 0
2 2 1
0 1 0
10 2
0 0 0
0 1 2
2 1 2
1 0 0
0 2 1
0 2 0
2 2 1
0 1 1
1 1 0
1 0 2
10 6
2 3 1
0 1 1
2 3 2
3 1 0
0 0 1
2 0 1
1 0 1
3 1 3
2 0 3
1 2 1
10 3
3 2 3
1 3 1
2 2 1
3 2 0
0 0 2
0 2 1
2 2 3
0 2 2
2 1 3
3 3 2
10 2
3 2 2
1 2 2
3 1 0
1 1 3
1 0 0
0 0 2
1 3 0
2 2 2
3 2 1
0 3 1
10 5
2 0 2
2 1 0
3 2 3
3 2 1
1 0 2
0 1 2
1 1 0
1 3 0
1 1 2
1 3 1
10 9
1 2 1
2 2 1
2 0 0
0 2 1
1 1 0
1 2 0
1 2 2
2 0 2
2 1 2
0 0 2
10 9
0 2 0
1 1 3
1 1 2
0 0 3
2 0 1
2 1 1
2 1 3
0 2 2
3 1 3
1 3 0
10 3
0 2 0
0 3 0
3 2 1
3 1 0
0 1 1
0 0 1
3 0 2
2 1 2
1 1 2
3 2 2
10 5
1 0 2
1 3 3
2 3 2
1 3 1
1 1 0
1 2 3
3 2 1
0 2 0
3 0 3
0 1 1
10 9
0 2 2
1 0 1
2 3 2
3 3 3
3 3 0
3 2 2
3 0 3
0 0 2
2 2 3
3 3 2
10 2
1 1 2
3 2 3
1 1 1
1 3 3
1 0 0
2 2 1
2 2 2
3 0 3
3 1 2
0 1 3
10 7
0 3 3
3 3 2
0 2 2
3 2 3
1 3 2
2 0 2
1 0 3
3 1 3
2 3 3
1 0 0
10 8
0 2 2
2 3 1
1 1 1
1 0 1
3 0 1
2 3 3
1 0 0
0 2 1
0 1 3
3 2 3
10 3
3 3 0
2 0 0
1 1 1
3 3 1
0 2 2
3 3 2
0 3 3
0 1 3
0 3 1
1 3 2
10 5
1 0 0
0 0 1
0 2 1
1 2 0
2 1 1
0 1 2
2 1 0
2 0 2
0 2 0
1 2 1
10 2
0 1 1
0 0 2
0 0 1
0 1 0
2 0 0
2 2 0
1 2 1
1 1 1
1 0 2
0 0 0
10 9
0 1 2
3 1 2
3 3 3
3 1 3
3 1 1
0 3 3
1 3 3
2 2 3
3 0 3
0 2 1
10 3
2 2 0
3 0 2
0 0 0
3 1 2
0 0 1
1 3 3
3 1 1
0 1 3
2 0 0
2 3 3
10 8
1 0 2
0 0 2
1 1 2
2 1 2
1 0 1
2 1 1
2 1 0
0 1 0
0 2 0
2 2 1
10 6
1 0 1
3 2 2
0 3 0
1 0 0
2 1 3
2 0 1
3 2 3
2 3 0
0 1 0
2 1 1
10 9
1 2 0
1 2 2
0 2 0
2 2 0
1 0 2
0 0 2
2 1 2
2 2 2
1 1 0
2 1 1
10 8
0 0 2
2 3 1
3 1 1
2 1 0
1 3 3
0 1 1
0 3 2
3 0 1
1 0 3
2 1 3
10 3
0 1 1
0 1 2
2 0 0
1 2 0
1 0 1
1 0 0
2 0 2
1 0 2
2 1 0
1 1 2
10 7
0 2 0
1 2 1
0 2 1
0 0 0
1 1 1
2 0 2
0 1 0
2 1 1
1 0 0
1 1 0
10 2
2 1 1
3 0 1
0 0 2
3 3 3
0 2 3
1 3 2
3 0 0
1 0 2
2 1 3
0 2 1
10 4
0 0 2
0 0 1
2 0 1
2 2 0
1 0 2
2 0 0
1 0 0
1 2 1
2 1 2
2 2 2
10 2
2 0 2
2 2 1
1 2 1
2 1 2
1 1 1
2 0 1
1 1 0
1 1 2
0 1 1
2 2 0
10 6
2 3 2
0 0 1
0 3 0
0 1 3
3 0 0
0 3 1
2 0 0
3 2 0
0 3 2
3 0 1
10 8
1 0 1
0 2 0
1 1 2
2 1 1
1 0 2
0 0 1
0 1 0
2 0 1
2 1 2
1 0 0
10 9
2 0 0
2 1 1
0 1 1
1 1 1
0 1 2
2 2 2
0 0 0
0 2 1
1 0 1
0 0 2
10 5
2 1 1
3 2 0
2 0 0
0 2 3
3 0 3
2 3 0
3 3 2
0 0 0
0 1 1
3 3 3
10 5
1 2 3
3 2 3
1 3 0
3 2 1
2 2 0
3 2 2
0 1 1
0 0 1
3 0 3
2 0 1
10 4
2 1 0
1 1 2
0 1 1
0 2 1
0 2 0
0 0 0
2 2 0
1 1 0
1 1 1
2 1 1
10 5
3 1 2
1 1 1
3 3 1
0 1 2
1 3 0
2 2 3
1 2 0
0 2 2
2 1 2
2 2 1
10 7
2 0 0
0 1 2
0 2 2
1 0 2
2 1 2
0 0 2
2 0 1
0 2 0
1 2 1
0 1 1
10 5
0 0 0
2 2 2
1 1 1
1 0 2
0 2 2
2 0 0
2 2 0
0 2 1
1 2 1
0 2 0
10 7
0 1 0
2 0 1
1 2 2
0 0 1
1 0 2
1 0 0
0 2 2
2 2 2
0 2 1
1 1 1
10 3
3 2 0
1 0 0
3 2 2
1 2 2
0 2 3
1 3 0
0 2 1
1 0 1
2 3 2
2 3 0
10 2
2 2 1
1 0 1
0 0 2
0 2 2
1 0 2
2 2 0
1 1 2
2 1 0
0 1 1
2 0 1
10 6
2 2 1
1 0 1
1 1 0
2 1 0
1 1 1
2 0 2
1 0 2
1 2 1
0 1 1
1 1 2
10 6
1 0 2
0 1 2
1 0 0
2 0 1
1 0 1
1 2 0
2 2 2
0 0 1
0 0 0
1 1 0
10 6
0 0 2
0 2 0
0 0 1
1 2 2
0 2 1
0 1 0
1 1 1
1 2 1
2 1 1
0 0 0
10 8
0 1 2
1 2 2
2 2 0
0 1 0
2 1 2
0 0 1
1 1 2
1 0 2
2 0 2
1 1 0
10 9
1 2 3
2 2 0
1 3 1
1 1 2
0 3 1
0 2 0
3 0 3
3 1 2
0 1 3
3 0 0
10 6
2 1 2
0 0 3
0 3 0
1 1 3
0 2 1
1 3 1
0 3 2
2 3 3
3 3 2
2 2 1
10 9
2 1 1
2 2 0
0 0 0
1 0 1
2 1 2
2 2 1
0 0 2
1 0 0
0 1 1
1 1 0
10 8
3 0 0
2 0 1
1 2 0
3 0 1
0 0 1
1 3 2
3 0 2
0 2 0
1 0 1
3 3 0
10 3
1 2 1
1 3 0
3 1 1
3 2 0
0 0 2
3 2 1
2 0 3
2 3 3
2 1 0
0 3 3
10 7
2 0 0
1 1 0
2 1 1
2 1 0
2 0 2
0 2 2
2 0 1
1 0 0
0 2 1
0 1 2
10 8
1 3 3
0 1 2
2 0 1
3 2 3
2 2 0
1 3 0
2 3 2
0 2 1
1 2 1
0 2 2
10 6
0 0 2
2 2 0
3 0 0
0 0 3
3 2 3
0 0 1
2 1 3
0 2 3
1 2 1
2 0 1
10 2
3 2 3
3 0 1
3 2 2
0 3 3
1 1 0
2 3 0
3 3 1
1 3 3
1 0 1
2 0 0
10 4
1 0 1
0 1 1
2 0 0
1 1 0
0 1 3
3 3 0
0 1 0
0 2 1
2 1 1
1 0 3
10 8
1 0 2
1 1 2
2 2 0
2 2 2
0 2 2
1 2 1
0 1 1
0 0 1
1 1 0
0 1 0
10 2
0 0 1
0 1 1
0 2 0
1 2 2
1 1 0
1 1 2
2 1 1
2 0 1
2 0 0
2 2 1
10 8
3 1 0
0 2 3
2 3 0
3 2 2
2 0 2
3 1 2
2 2 2
0 1 2
0 0 1
3 3 0
10 5
1 2 3
0 0 2
2 3 3
3 3 0
0 3 0
1 3 0
0 1 2
3 3 2
0 3 3
0 0 1
10 9
0 1 2
2 0 2
2 2 1
2 1 0
1 0 2
0 1 0
2 0 1
2 1 1
1 0 0
1 0 1
10 6
1 1 2
2 0 0
0 2 2
2 2 2
1 0 1
0 2 0
0 1 0
1 1 1
0 1 1
0 1 2
10 3
0 1 0
1 1 0
0 0 1
1 2 1
0 2 2
2 1 2
2 0 0
1 1 1
1 0 2
1 2 0
10 8
2 2 1
1 1 2
3 3 0
0 2 1
3 1 0
0 0 3
3 1 2
2 2 2
3 2 0
3 3 2
10 3
2 1 1
0 0 0
2 2 0
1 0 2
1 1 0
0 0 1
2 1 0
1 1 1
0 1 2
1 0 0
10 8
2 2 0
1 0 0
0 2 1
0 2 0
0 1 1
2 1 1
1 2 0
2 0 0
1 1 2
2 1 2
10 5
1 2 2
1 0 0
2 2 0
2 0 0
0 1 2
2 2 2
0 1 0
0 2 0
0 2 1
0 1 1
10 9
0 0 1
0 2 1
2 2 1
0 2 2
2 2 2
0 0 0
1 1 0
1 1 1
0 1 2
1 1 2
10 9
3 1 1
2 0 3
3 1 2
2 1 1
2 1 3
0 1 2
1 1 0
3 2 3
1 2 0
0 3 2
10 2
1 0 2
0 2 0
0 2 2
2 2 0
0 1 0
0 0 2
0 2 3
2 1 1
3 1 2
3 3 3
10 7
0 0 0
3 1 2
3 2 2
1 0 1
0 1 0
1 0 3
2 1 3
0 3 3
3 3 3
0 3 0
10 6
3 3 0
1 3 3
0 1 3
1 1 1
2 1 3
1 2 1
3 0 0
3 2 3
0 3 2
0 3 1
10 9
0 2 2
1 0 0
0 0 0
1 2 0
1 2 1
1 0 2
2 0 2
2 2 2
0 1 0
2 1 1
10 9
3 0 0
0 3 3
3 1 2
2 2 2
1 0 3
1 3 0
2 2 1
2 3 1
1 1 1
3 1 3
10 6
2 1 0
1 0 2
0 3 1
0 2 2
0 3 2
2 3 1
3 0 1
2 0 2
3 1 2
2 3 2
10 5
3 1 3
0 2 1
2 0 1
3 2 1
0 1 3
2 1 2
0 2 0
2 0 2
1 2 2
1 3 2
10 3
0 3 1
0 0 3
2 2 2
2 0 2
0 3 2
1 1 2
2 3 2
0 0 0
3 0 1
3 2 0
10 3
2 2 1
2 1 0
2 2 0
1 0 2
1 2 2
0 0 0
0 2 2
1 1 1
0 1 2
2 1 2
10 7
2 0 3
2 3 1
2 3 0
1 2 1
1 2 2
1 1 1
3 2 2
3 0 2
0 3 1
0 0 0
10 7
2 0 0
0 1 1
2 2 1
0 2 1
1 1 2
0 2 0
0 1 0
1 2 1
2 0 1
0 0 2
10 3
0 1 0
0 0 2
1 1 1
0 2 1
2 0 1
1 2 2
1 1 0
2 1 1
1 2 1
1 2 0
10 2
0 2 2
2 3 3
1 3 1
1 1 2
1 0 3
0 1 3
3 0 1
1 2 3
2 0 3
3 0 2
10 4
1 3 3
1 0 3
2 2 3
0 3 3
0 2 2
1 2 2
2 1 2
3 3 0
2 2 0
2 1 1
10 4
3 3 0
0 0 1
0 1 3
3 3 1
3 2 0
1 2 0
2 3 1
1 2 2
2 0 1
2 2 1
10 7
0 1 0
2 2 2
0 1 1
1 2 2
2 0 0
0 0 1
2 2 0
1 1 2
0 2 0
2 0 2
10 6
2 0 2
2 0 3
1 2 1
3 0 0
3 2 0
0 3 3
0 3 0
3 3 1
3 1 0
3 1 2
10 5
0 0 0
1 1 2
0 0 1
2 1 2
0 2 2
2 1 0
1 2 1
0 0 2
2 1 1
2 2 0
10 4
2 2 2
2 0 1
1 1 1
1 2 0
2 1 2
1 0 2
0 0 0
2 0 2
0 2 1
0 2 0
10 2
3 0 1
1 3 2
3 0 3
3 0 2
2 0 0
1 2 3
0 1 2
1 3 3
3 2 0
1 1 0
10 3
2 3 2
0 1 2
2 0 3
3 1 1
3 0 3
3 1 0
0 1 0
3 2 1
2 0 2
2 3 3
10 5
3 2 3
1 2 1
3 0 0
1 0 1
1 3 3
1 3 1
1 1 2
3 3 1
0 1 1
2 1 3
10 4
0 2 2
1 2 0
1 1 2
1 2 2
0 1 1
0 2 1
0 0 1
2 2 1
1 1 0
1 0 0
10 3
1 2 0
2 1 1
2 0 3
3 2 1
1 1 3
1 0 3
3 0 0
2 2 2
2 0 1
2 3 3
10 6
3 0 0
1 0 3
2 2 0
3 3 1
3 0 1
0 2 0
1 1 3
3 2 3
0 0 0
2 1 0
10 2
2 2 0
2 2 1
1 2 0
2 0 2
0 0 0
0 2 1
1 1 2
0 1 1
2 2 2
1 1 0
10 3
0 1 2
2 0 0
1 1 0
1 2 1
0 0 0
2 1 2
0 0 1
1 2 0
1 0 0
1 1 1
10 4
2 3 0
3 1 3
2 2 2
2 3 1
1 3 3
2 1 2
1 2 1
0 0 3
3 2 1
2 0 2
10 8
1 2 2
2 0 1
2 2 1
2 2 2
2 1 1
2 1 2
0 0 1
1 1 0
2 1 0
0 2 2
10 8
1 3 1
2 2 2
0 2 0
1 2 1
0 2 1
1 1 2
3 2 2
2 3 1
2 0 1
1 0 1
10 7
1 0 2
3 3 2
1 3 2
2 3 1
2 0 1
0 3 3
2 1 0
2 3 3
3 1 1
0 1 0
10 8
1 1 2
2 2 1
2 1 2
0 1 0
2 1 1
0 2 2
2 2 2
1 2 1
0 0 0
1 0 1
10 5
0 2 1
1 1 1
1 0 2
2 2 1
2 0 0
0 2 2
0 2 0
1 2 2
1 1 0
2 1 1
10 7
2 1 1
0 1 3
3 1 1
3 2 3
2 3 0
1 2 3
1 1 2
1 0 3
3 3 3
1 0 1
10 2
0 3 2
2 3 0
1 3 2
0 1 3
0 0 2
3 2 1
2 1 2
0 2 2
3 3 1
2 2 2
10 2
2 2 2
2 0 1
2 0 2
1 1 2
0 2 1
0 2 0
2 0 0
1 1 0
1 0 2
0 0 0
10 3
3 0 0
0 2 1
0 2 3
0 1 3
0 0 0
2 1 3
1 1 1
0 1 2
1 0 3
2 2 0
10 5
1 1 1
2 0 2
1 0 0
1 2 2
1 0 1
2 1 2
0 0 1
2 1 0
2 2 0
1 2 0
10 9
1 0 2
0 0 0
1 1 1
3 0 1
0 3 3
3 1 1
2 2 1
0 0 2
1 3 2
2 3 2
10 3
0 1 1
2 2 1
1 2 2
2 1 2
1 1 2
2 0 0
0 0 1
0 0 2
0 2 0
2 1 0
10 3
2 0 2
0 1 2
1 2 1
2 1 2
2 0 0
1 1 1
1 0 2
2 1 0
0 0 0
2 2 0
10 9
2 0 2
2 2 2
0 1 1
0 1 2
1 0 2
1 1 2
0 1 0
2 2 0
1 2 0
2 0 1
10 7
3 3 2
1 3 1
3 2 1
3 1 2
2 0 3
3 3 0
1 0 2
1 3 2
2 3 1
2 2 3
10 8
0 2 1
2 2 2
0 2 2
1 2 0
2 1 0
2 0 1
2 1 2
0 1 1
0 1 2
1 0 1
10 7
2 2 2
0 1 2
2 1 0
0 2 2
0 0 0
1 0 2
0 0 1
0 2 0
1 1 2
2 2 1
10 9
2 2 1
0 1 0
1 1 0
1 1 2
2 0 0
2 0 2
1 1 1
1 2 2
0 2 2
0 0 1
10 7
2 0 0
2 0 1
1 2 1
2 1 2
2 2 0
2 1 0
2 0 2
2 2 1
1 0 2
1 2 2
10 4
3 3 3
0 2 2
2 2 1
1 2 1
1 3 3
1 2 2
0 0 0
1 0 0
1 1 0
3 1 2
10 9
1 1 2
0 2 0
1 0 2
1 0 1
2 1 0
2 2 1
0 2 1
2 1 1
2 0 0
2 2 2
10 6
1 2 2
3 2 0
0 2 2
3 3 1
0 0 1
0 3 2
3 3 2
0 1 1
3 0 3
2 2 3
10 5
1 2 0
0 1 2
2 1 3
2 2 1
1 1 1
1 3 3
3 1 1
0 1 0
3 3 0
0 2 1
10 7
2 1 0
1 1 1
1 0 2
1 1 0
0 0 0
2 0 2
1 1 2
0 1 0
0 2 1
2 2 0
10 3
2 1 0
1 3 0
0 2 1
3 2 0
2 0 2
3 1 2
2 0 0
0 1 1
3 1 0
0 0 1
10 4
0 3 1
2 1 1
2 3 2
1 2 0
3 2 2
1 2 3
1 0 1
3 1 1
1 3 3
1 2 1
10 5
3 2 0
0 3 1
1 0 3
3 3 2
0 0 0
2 3 1
2 2 0
2 2 3
0 0 1
0 2 2
10 3
2 0 0
2 1 2
0 1 1
1 0 1
1 1 1
2 2 0
1 1 2
2 2 2
0 1 2
0 0 0
10 5
2 1 0
1 2 2
2 0 1
1 2 1
0 2 1
2 0 0
2 2 1
2 2 0
0 0 2
0 1 0
10 6
0 2 1
1 1 2
0 2 2
0 1 2
2 0 1
2 1 2
0 1 1
0 1 0
2 2 1
2 0 0
10 4
2 0 0
0 2 1
1 0 0
2 1 1
1 1 1
0 1 1
1 2 0
2 1 0
0 0 2
2 2 2
10 5
2 3 2
1 1 3
3 1 3
3 3 2
1 3 2
3 1 1
0 2 0
0 0 0
0 2 2
0 2 1
10 7
1 2 1
1 0 0
0 0 1
1 1 2
0 0 0
1 1 1
1 2 0
2 1 2
2 0 2
2 2 2
10 6
2 1 2
2 0 2
1 1 0
0 0 1
0 1 0
2 2 2
1 0 0
0 2 0
2 1 0
1 2 1
10 5
2 1 1
2 0 0
2 2 0
0 2 0
2 1 2
1 1 2
0 1 2
0 1 0
1 1 1
2 2 2
10 7
1 2 1
0 0 0
1 0 2
0 2 2
1 2 2
2 0 2
0 2 1
2 0 0
0 0 1
2 2 0
10 2
0 3 1
1 3 1
0 1 1
2 1 0
1 0 0
1 0 3
1 0 2
1 1 3
0 2 3
1 0 1
10 3
2 0 1
0 3 0
0 1 2
2 2 1
1 1 1
1 2 1
2 1 2
2 0 3
1 1 3
0 2 0
10 9
1 1 2
1 2 2
0 2 3
0 2 1
0 0 0
2 3 0
1 2 0
1 0 2
2 0 1
2 1 0
10 3
2 3 2
3 3 1
1 1 0
3 2 2
0 3 3
2 2 0
0 3 2
0 0 3
1 2 0
2 3 1
10 2
2 1 1
1 2 2
1 0 0
1 2 1
0 2 0
0 1 1
0 2 1
1 1 1
1 2 0
2 1 0
10 3
0 0 3
2 3 2
2 3 3
0 1 2
0 1 3
0 0 2
0 3 2
3 1 3
1 2 0
3 2 0
10 3
2 0 0
2 0 1
0 1 0
1 2 2
2 1 2
0 1 2
0 0 2
0 2 2
2 2 0
1 2 1
10 9
3 0 0
0 2 0
2 1 2
2 2 1
1 0 2
3 2 2
3 3 1
2 0 1
1 1 1
1 3 0
10 7
3 1 2
0 1 2
2 3 3
0 1 3
2 3 1
1 2 3
3 1 3
3 0 0
3 0 2
1 3 2
10 5
2 1 1
0 0 1
2 2 1
2 0 0
0 1 1
0 0 2
0 0 0
2 0 1
0 2 1
2 1 0
10 2
0 2 1
1 0 1
2 1 0
1 1 0
2 0 1
0 0 2
1 0 2
2 1 2
2 2 2
0 2 0
10 9
0 2 1
2 2 1
0 0 2
1 0 2
0 2 0
0 1 2
0 2 2
0 0 1
1 2 2
0 0 0
10 7
0 1 0
2 1 0
2 1 1
1 0 1
0 0 2
0 2 0
1 1 0
1 2 2
2 2 1
0 1 1
10 6
1 1 2
1 2 2
2 1 2
0 0 2
1 0 1
2 0 0
0 2 2
2 0 2
0 2 1
0 1 0
10 9
1 0 0
2 1 2
2 1 1
2 0 1
0 2 2
0 0 2
0 2 1
2 0 0
1 1 1
1 0 2
10 7
1 0 0
0 2 1
0 1 0
2 0 1
2 1 0
1 1 1
0 0 0
2 0 2
1 2 1
1 0 1
10 8
0 1 0
2 1 0
1 2 2
0 2 2
2 0 1
0 2 1
1 2 0
1 1 1
1 0 0
0 0 2
10 4
3 0 3
1 3 2
1 1 3
0 2 2
3 3 0
3 3 1
3 1 0
0 1 1
0 1 0
0 2 1
10 2
1 1 2
1 2 2
2 0 0
0 2 1
0 0 2
2 0 1
2 1 2
0 2 2
2 0 2
2 1 0
10 4
0 1 2
1 2 0
0 1 0
2 0 2
1 0 2
1 1 0
0 0 0
2 2 1
1 2 2
0 0 2
10 4
0 0 2
2 0 3
1 2 0
2 1 1
0 2 0
3 1 0
1 0 3
2 1 3
2 0 1
3 2 0
10 9
0 3 2
2 0 2
2 2 0
2 0 3
0 1 3
1 0 3
0 3 1
0 0 1
0 0 3
2 3 1
10 4
0 1 1
0 2 1
0 1 2
1 1 1
2 0 2
2 1 2
1 0 0
1 0 2
2 1 0
1 1 2
10 6
1 0 1
0 2 1
0 1 0
0 2 2
0 0 1
1 1 2
0 0 0
1 1 1
2 0 2
0 1 1
10 7
0 0 1
0 2 2
0 1 1
1 1 1
1 1 0
2 1 1
2 0 1
0 1 2
2 2 1
0 0 0
10 9
2 3 3
3 3 1
2 3 2
2 0 2
1 3 0
0 0 3
3 1 3
2 1 2
0 2 1
0 1 0
10 2
3 3 2
1 1 3
1 3 0
2 2 1
2 3 3
0 1 2
1 0 3
0 0 0
3 2 0
1 3 3
10 4
0 2 1
1 2 2
0 2 2
0 2 0
0 1 0
2 0 1
0 0 1
1 2 1
1 0 0
1 1 1
10 6
2 2 0
0 0 2
1 0 1
1 1 1
1 2 1
0 1 0
2 2 1
1 2 0
2 1 1
0 0 0
10 9
1 2 2
2 1 1
0 3 1
1 1 3
0 0 1
0 3 2
2 0 2
2 2 1
2 3 3
3 0 0
10 3
0 0 3
1 3 2
0 3 3
1 0 3
3 3 1
2 3 1
1 2 3
3 2 1
2 3 3
1 0 1
10 5
2 2 2
1 2 2
2 1 2
3 3 3
0 1 2
2 0 1
2 0 2
3 2 3
3 3 2
3 1 1
10 6
1 1 0
2 1 1
2 1 2
0 2 2
1 1 2
0 0 2
0 0 0
1 0 0
1 1 1
0 1 2
10 7
3 1 3
2 2 1
3 0 0
1 2 2
0 3 3
1 3 3
1 2 0
2 3 3
1 3 2
2 3 1
10 6
2 0 1
0 0 2
1 0 2
0 2 0
0 1 1
1 0 0
2 2 1
2 1 1
2 1 0
2 0 0
10 2
0 1 0
0 0 1
2 1 2
1 2 1
1 0 2
2 0 1
2 1 0
2 0 0
1 1 0
1 0 1
10 3
0 0 0
1 2 3
1 3 2
0 1 1
3 3 0
0 0 1
2 0 3
0 1 2
0 3 2
0 3 0
10 9
1 2 2
0 0 0
2 0 2
2 1 2
2 0 0
2 2 1
1 1 0
1 2 1
0 1 0
2 1 0
10 6
1 2 1
0 0 2
0 1 0
2 1 2
1 0 0
2 2 0
2 0 0
1 2 2
1 1 1
2 2 1
10 5
2 0 0
1 0 2
2 1 1
0 1 1
2 2 2
0 1 2
1 0 0
2 2 0
0 2 0
2 1 2
10 5
2 0 1
2 1 0
0 2 1
0 2 2
1 1 2
1 0 0
0 1 1
1 2 1
2 2 1
1 2 0
10 3
1 2 1
1 2 0
1 0 1
2 0 1
0 0 2
1 1 1
1 0 0
0 0 0
2 2 2
0 1 2
10 4
2 2 2
2 0 1
0 1 1
2 1 1
1 2 2
1 0 1
1 0 2
1 2 0
2 0 2
1 1 1
10 9
1 2 3
1 2 1
0 3 0
2 2 2
2 3 0
3 2 3
2 2 3
3 1 2
0 1 3
2 1 0
10 2
2 0 2
2 2 2
1 0 0
1 2 1
0 0 0
1 0 1
0 1 1
1 1 2
0 1 0
2 1 0
10 2
1 3 2
1 3 1
3 3 1
0 1 2
0 0 0
1 2 2
2 2 1
2 1 3
2 3 3
3 3 2
10 8
0 3 0
0 3 1
0 0 1
2 1 3
2 2 2
0 1 2
2 3 1
1 1 1
0 1 1
3 0 2
10 9
2 0 2
0 1 1
2 1 0
2 1 1
1 0 1
1 1 2
1 1 1
0 2 2
0 1 2
1 0 0
10 6
2 0 1
1 0 1
2 0 2
2 2 2
0 0 1
2 0 0
2 1 2
1 1 1
1 2 2
0 1 1
10 2
2 3 2
0 0 3
1 3 0
2 1 2
0 2 3
1 3 3
0 1 0
1 1 0
1 1 3
1 0 3
10 9
0 1 0
0 2 0
0 0 0
2 2 1
1 1 2
1 2 2
0 0 1
1 1 0
2 0 1
2 0 2
10 9
1 2 2
2 0 0
1 1 1
1 0 2
2 1 0
2 1 1
1 2 1
2 1 2
1 1 2
0 0 0
10 3
1 2 0
0 2 0
1 1 0
2 1 1
2 2 0
1 1 2
2 1 2
0 0 1
0 2 1
0 1 2
10 7
0 2 0
1 2 1
2 2 0
0 2 1
2 0 2
2 0 1
2 1 1
1 2 0
1 0 1
1 0 0
10 4
1 1 1
1 1 0
3 2 3
1 2 0
2 0 2
1 0 3
1 0 1
0 3 1
2 3 0
2 1 3
10 9
3 0 3
2 1 1
1 3 2
0 1 2
0 1 1
0 2 3
1 2 0
1 2 1
2 0 1
2 1 3
10 4
2 1 1
0 0 1
3 1 1
2 2 2
3 0 0
1 3 3
3 2 3
0 0 2
1 1 1
0 2 3
10 9
1 1 1
1 3 3
0 2 1
1 2 1
0 1 1
2 2 2
3 1 1
1 3 0
1 1 2
1 2 3
10 4
0 2 0
1 1 3
2 2 2
2 2 1
1 3 2
0 0 3
1 0 2
3 2 2
1 2 2
1 3 1
10 4
0 1 1
1 1 0
0 0 1
0 2 2
0 2 1
2 0 0
0 2 0
2 1 1
2 0 1
1 0 2
10 4
1 2 0
0 1 0
0 1 2
0 0 0
0 1 1
0 2 1
2 2 1
2 0 2
2 1 2
2 1 1
10 5
1 3 2
2 0 2
0 3 2
0 1 2
2 0 0
1 0 3
0 0 0
0 3 0
2 2 3
0 0 2
10 5
2 0 1
1 0 0
0 2 2
2 1 1
1 2 0
2 0 0
1 1 2
0 1 0
1 1 1
2 2 2
10 5
1 2 1
2 2 2
2 1 2
2 1 1
0 2 0
1 0 2
1 2 2
2 0 2
1 1 1
0 0 1
10 9
1 2 0
0 1 2
1 1 2
1 0 1
1 2 2
1 2 1
0 0 0
2 0 1
1 1 1
1 0 0
10 7
2 1 2
2 1 3
1 0 2
3 3 0
3 2 0
2 2 0
2 0 3
1 3 2
3 3 2
0 0 1
10 5
1 2 3
1 1 1
1 0 1
1 0 2
2 3 1
2 3 0
3 3 3
2 1 3
1 2 1
1 0 3
10 7
1 2 0
2 2 1
0 0 1
0 2 0
2 2 0
0 0 0
1 0 0
0 0 2
1 1 0
0 2 1
10 6
2 2 2
1 3 1
3 3 3
3 2 0
3 0 0
0 1 2
0 0 1
2 2 3
0 2 0
3 2 3
10 4
1 2 3
3 0 1
0 2 3
2 3 3
1 1 0
0 0 2
0 1 1
1 1 3
3 1 0
3 3 3
10 9
1 2 1
2 1 2
2 2 2
1 2 0
0 0 2
0 1 2
0 0 1
0 2 0
0 0 0
1 1 2
10 5
2 2 1
1 2 0
2 1 1
2 0 1
1 1 2
0 1 0
0 1 1
1 1 0
0 1 2
2 0 0
10 2
1 0 2
3 2 1
0 0 0
0 0 3
2 1 0
3 3 3
0 0 2
0 1 3
2 3 0
1 2 1
10 5
3 3 2
2 1 0
0 1 0
1 3 3
0 1 3
0 0 0
0 2 0
3 0 3
0 0 1
2 2 2
10 9
2 1 1
3 1 3
3 0 3
2 2 2
2 0 1
3 2 0
2 1 2
3 0 1
1 1 3
1 1 1
10 9
2 0 3
1 0 3
1 3 2
1 3 3
2 1 1
2 0 1
0 1 2
0 1 1
3 3 1
1 0 1
10 3
2 0 1
2 2 0
2 2 1
2 1 1
1 2 1
2 3 1
0 2 1
1 3 2
3 1 2
3 2 2
10 8
3 1 2
2 2 0
2 3 3
1 2 2
2 2 3
1 0 1
2 0 3
3 3 3
1 3 0
0 2 0
10 5
1 0 2
1 3 0
1 3 3
3 1 2
2 2 0
1 1 1
0 0 1
3 2 2
0 0 0
2 0 1
10 3
2 2 1
3 0 0
2 3 0
0 3 2
0 1 2
0 2 1
2 1 3
1 3 1
0 3 1
0 1 3
10 4
1 3 0
3 0 1
0 3 2
1 0 3
1 3 3
1 0 0
1 1 3
3 2 2
2 0 3
2 0 2
10 2
2 2 0
1 2 0
0 2 2
2 0 0
0 1 2
1 2 2
1 1 0
2 0 1
0 0 2
0 1 0
10 8
0 2 1
2 2 2
0 0 0
0 1 1
1 1 1
1 2 1
1 0 0
1 1 0
2 0 1
2 0 0
10 7
3 1 3
3 3 2
3 3 0
0 2 0
3 2 0
2 0 1
1 1 0
2 3 0
1 1 2
1 2 3
10 4
1 1 2
2 2 0
0 0 2
2 0 1
2 1 1
2 1 2
1 2 2
1 0 1
1 0 0
0 2 0
10 8
1 2 1
0 2 0
1 1 2
2 2 0
2 1 1
2 0 1
1 2 0
1 0 2
2 0 0
2 2 1
10 7
0 1 0
0 1 2
0 2 1
0 2 2
0 0 2
2 2 1
2 0 0
1 0 0
0 2 0
2 1 2
10 6
1 2 3
2 0 2
1 3 2
2 2 2
1 3 1
2 1 1
0 1 0
3 2 3
3 2 2
1 1 2
10 3
0 1 2
2 2 3
1 0 2
0 2 0
3 2 1
2 3 2
0 0 0
1 3 1
2 3 3
1 2 1
10 7
2 3 3
1 1 1
2 3 2
3 3 0
3 3 3
0 2 3
2 1 2
1 0 0
1 3 1
3 0 3
10 5
0 3 2
2 0 2
0 0 1
3 3 2
0 0 0
2 0 1
1 1 0
0 1 1
1 0 2
1 3 3
10 5
3 3 3
0 3 2
0 2 3
2 3 3
3 1 1
2 2 2
3 3 0
1 3 2
3 1 3
3 0 0
10 8
0 2 3
2 0 2
3 1 3
1 3 0
0 3 2
0 1 3
2 1 3
3 3 2
0 1 0
2 2 1
10 7
3 2 3
0 0 3
2 3 0
0 1 2
3 1 1
3 0 2
0 0 2
1 2 0
1 0 2
2 1 1
10 4
1 2 1
2 2 1
3 3 3
2 3 3
0 1 0
0 3 2
0 3 3
2 0 2
0 0 0
3 0 0
10 4
0 2 2
1 2 2
2 0 0
1 2 0
2 2 2
1 0 0
2 1 0
0 1 0
0 2 1
2 2 0
10 6
1 2 2
0 2 1
2 2 0
0 1 2
2 0 0
2 1 1
2 1 2
1 1 2
1 1 0
0 0 0
10 3
3 2 2
2 2 0
1 0 1
3 3 1
2 0 2
3 0 1
1 2 2
2 2 1
3 1 0
0 3 3
10 9
1 1 2
2 2 0
2 0 0
1 0 2
2 0 1
2 1 0
0 1 2
0 0 1
0 2 0
2 2 2
10 5
1 1 3
2 0 3
1 0 1
0 0 2
0 3 1
2 3 3
0 1 1
3 0 2
3 2 3
3 1 3
10 5
2 0 0
0 2 2
0 2 1
2 1 2
2 0 1
2 2 2
0 0 1
0 0 0
0 0 2
0 1 0
10 4
1 2 0
0 0 2
3 0 3
2 1 2
0 3 2
2 3 3
3 2 3
1 0 2
1 2 2
3 2 1
10 4
2 1 3
0 0 3
3 0 1
1 3 0
2 2 2
2 0 0
1 1 3
3 3 3
2 1 2
3 1 1
10 4
1 2 2
3 0 1
1 3 2
0 1 2
0 1 0
0 0 0
1 3 3
3 1 0
3 3 1
0 3 1
10 4
1 2 1
1 2 2
2 1 2
0 0 2
1 2 0
0 0 1
0 0 0
1 1 0
0 1 0
0 1 2
10 4
2 3 3
2 3 1
2 2 2
1 1 2
2 3 2
3 2 2
0 0 1
2 1 1
2 2 3
0 1 2
10 6
0 0 2
2 2 2
3 3 1
3 1 0
0 2 3
1 0 3
2 0 0
3 1 3
1 1 0
3 3 2
10 9
2 1 2
2 3 2
3 1 0
1 2 0
1 1 0
3 3 0
2 1 1
3 1 2
0 3 2
1 1 3
10 6
1 0 2
2 0 0
0 1 3
2 3 3
3 3 1
2 2 1
2 1 2
0 0 2
2 0 3
3 1 2
10 4
2 2 1
1 2 0
0 0 0
1 0 2
0 1 0
2 1 1
2 0 1
1 1 0
1 2 1
2 0 0
10 7
2 2 1
0 1 0
2 1 2
0 0 2
1 1 1
2 2 2
0 2 0
1 1 0
0 2 2
1 0 0
10 4
0 2 0
1 1 2
1 2 0
0 0 1
2 2 1
2 0 2
1 2 1
2 1 1
1 2 2
0 1 2
10 9
2 3 3
3 1 3
1 0 0
3 2 1
1 3 3
0 0 0
1 1 2
1 1 0
1 3 2
2 1 0
10 6
0 2 0
2 0 1
1 1 1
1 2 2
0 1 0
2 2 2
1 0 0
1 1 2
1 1 0
0 0 2
10 6
2 2 2
2 1 2
1 0 2
0 2 0
0 2 1
2 0 0
2 2 0
0 1 2
1 0 1
2 1 0
10 5
3 2 3
2 1 3
2 1 1
2 1 0
3 3 0
2 0 1
1 3 0
1 3 3
3 0 1
2 3 2
10 9
1 1 0
0 0 2
0 1 0
2 0 2
2 1 0
2 2 0
1 2 1
2 2 1
1 0 0
0 2 0
10 8
2 2 1
0 1 3
2 1 3
3 1 3
2 0 3
1 2 1
2 2 3
0 2 2
1 1 3
2 1 1
10 4
2 1 0
1 2 1
1 1 0
2 0 0
1 0 1
0 0 2
0 1 0
0 2 1
1 1 1
2 2 2
10 7
2 2 2
3 0 3
1 1 3
0 3 1
3 3 2
1 0 3
1 0 2
2 3 0
2 1 0
0 0 0
10 6
3 1 1
0 1 3
2 3 0
3 0 3
1 1 0
0 3 3
2 2 0
0 0 3
2 1 0
3 3 1
10 7
1 3 1
3 0 2
1 2 2
3 2 0
1 0 0
2 2 0
1 3 0
2 1 0
3 0 1
1 1 3
10 8
0 2 0
0 2 2
1 3 0
0 3 2
1 2 1
2 1 0
1 1 1
0 3 3
3 0 3
0 1 3
10 8
3 2 3
1 2 0
0 3 3
2 3 2
2 3 1
0 1 0
2 2 0
1 1 0
3 3 2
1 1 2
10 3
0 0 0
0 1 2
2 2 2
0 2 0
1 2 0
2 0 2
0 1 1
2 1 0
1 0 1
1 2 2
10 2
3 0 1
2 1 2
1 1 0
0 1 3
1 0 3
3 3 2
0 2 1
3 2 2
1 3 2
0 0 2
10 4
1 1 1
0 0 1
0 2 1
0 2 0
1 1 2
2 2 2
0 1 0
2 1 0
1 0 0
0 1 2
10 9
0 1 0
2 0 1
1 0 2
2 2 2
2 0 2
0 2 0
2 2 1
0 0 2
1 0 0
2 1 2
10 4
2 1 2
1 1 1
2 2 2
1 0 1
1 2 1
0 1 1
1 2 0
0 0 2
1 0 2
0 2 1
10 9
1 0 2
2 1 2
0 0 3
3 1 1
3 0 2
0 2 2
3 3 1
3 0 0
0 0 0
3 3 0
10 7
2 3 1
3 0 3
0 3 2
1 2 0
1 1 1
1 0 0
2 1 3
0 0 1
1 3 0
3 3 1
10 2
2 1 1
2 2 1
2 0 1
0 2 2
1 2 1
2 2 0
2 0 2
0 2 0
2 1 2
2 2 2
10 7
0 0 0
2 3 2
2 3 3
2 1 0
2 0 3
0 2 2
1 2 2
2 0 2
3 1 0
1 0 3
10 6
2 1 1
2 2 1
2 2 0
1 1 1
0 0 1
0 1 2
1 1 2
0 1 0
1 0 2
0 0 2
10 2
1 2 1
3 3 0
0 1 3
1 2 3
0 1 2
3 2 0
1 1 0
3 3 1
3 0 1
1 3 3
10 9
0 2 0
1 0 1
2 0 2
0 1 0
0 1 2
2 0 0
0 2 2
1 1 1
1 2 1
2 2 1
10 3
3 3 3
3 2 2
0 2 3
1 3 3
1 3 0
3 3 1
3 3 2
1 2 0
0 0 0
3 0 1
10 4
2 1 1
2 2 2
3 2 3
1 0 1
2 3 2
2 0 0
1 1 0
3 3 3
2 1 0
0 2 1
10 9
0 1 1
1 2 0
1 0 1
2 2 0
2 0 0
2 2 2
1 1 0
1 1 1
0 0 1
2 1 1
10 6
1 0 3
2 1 0
2 3 0
0 3 1
1 0 1
0 1 0
0 0 0
0 3 2
0 0 3
3 2 1
10 2
2 3 3
1 0 3
1 0 1
0 3 0
1 2 3
1 2 0
1 3 3
0 0 0
1 0 0
2 0 2
10 7
1 2 3
0 2 1
1 0 1
0 0 0
0 3 3
3 0 3
0 1 2
3 2 3
1 3 0
1 3 3
10 3
1 2 2
0 2 2
1 1 0
0 2 1
2 2 0
0 2 3
0 3 3
1 0 3
3 3 3
1 2 1
10 4
1 0 1
3 3 3
1 2 2
1 0 0
0 1 0
3 0 0
3 2 0
1 0 3
1 2 3
3 0 1
10 6
1 1 2
1 0 0
1 2 1
1 0 1
2 0 0
0 2 2
2 0 1
2 1 1
2 2 1
0 1 0
10 3
1 3 2
0 1 3
0 0 2
2 3 1
2 2 1
2 0 2
3 0 1
2 0 0
1 1 1
2 3 2
10 7
0 1 1
2 2 1
0 2 0
2 2 0
2 1 2
2 0 1
1 0 1
0 0 1
2 0 0
2 1 1
10 7
2 1 0
0 2 0
0 1 1
0 0 0
0 2 2
0 1 2
2 2 1
2 2 0
2 1 1
1 2 1
10 3
2 0 3
0 0 1
3 3 2
1 3 3
1 2 1
2 2 0
0 1 2
1 1 2
1 1 0
2 1 0
10 2
1 1 1
1 2 0
2 0 1
0 0 1
1 1 2
1 2 2
0 1 0
1 0 1
1 0 0
0 0 2
10 4
2 1 2
2 3 1
0 0 0
3 1 0
3 2 0
2 2 0
3 2 3
0 0 2
3 3 2
3 3 0
10 2
2 1 1
2 0 2
0 0 0
2 1 0
0 1 0
0 1 1
0 2 1
0 2 0
0 0 2
2 1 2
10 5
2 2 1
0 2 0
1 0 0
2 1 0
1 2 1
2 0 1
0 0 2
2 1 2
0 1 1
1 0 1
10 5
1 1 1
0 2 2
1 0 0
2 1 1
2 0 0
1 1 2
0 2 0
0 1 0
1 2 1
0 2 1
10 7
0 0 2
2 2 1
2 0 2
1 2 0
0 0 0
2 2 2
1 2 2
2 1 0
0 1 0
1 1 1
10 5
0 0 2
0 2 2
1 2 0
1 2 2
1 1 1
0 2 0
1 0 0
0 1 2
0 2 1
0 1 1
10 3
2 1 2
2 1 1
2 2 2
0 2 1
2 0 0
1 1 0
1 0 0
1 2 2
1 0 1
1 0 2
10 3
0 0 2
0 3 2
0 2 2
1 3 2
2 2 3
1 3 1
2 1 1
3 2 1
0 2 0
3 3 0
10 6
0 0 2
0 1 2
0 1 0
2 2 2
1 1 1
0 0 0
2 2 0
1 0 0
1 1 2
2 0 2
10 9
1 0 0
2 1 0
1 2 0
2 1 2
2 0 1
2 0 2
2 0 0
0 2 1
2 1 1
0 0 2
10 4
0 2 2
0 0 1
1 2 2
0 1 2
0 2 1
1 0 0
1 1 1
0 0 0
2 1 1
1 1 2
10 7
2 1 1
2 0 0
2 1 0
1 2 2
1 0 1
1 1 1
0 1 1
0 2 0
1 1 2
2 0 2
10 6
1 0 1
0 0 3
3 0 3
1 3 3
3 1 1
0 1 1
2 3 1
0 3 1
3 3 1
0 2 1
10 8
0 0 1
1 1 0
2 2 1
2 0 0
0 2 1
2 1 2
2 0 2
0 1 0
1 1 1
0 1 2
10 8
3 3 1
0 1 1
3 0 2
1 3 2
1 1 2
2 3 1
2 1 0
2 0 2
3 1 1
3 3 3
10 2
2 3 1
1 2 2
2 1 0
1 3 1
0 1 0
3 3 2
2 0 0
3 3 0
2 0 3
2 2 0
10 8
1 3 1
2 1 0
0 0 2
3 1 2
0 0 0
3 3 1
1 0 0
2 0 2
3 3 2
0 1 1
10 6
2 3 0
0 1 3
0 3 3
1 0 0
2 2 2
3 3 0
2 1 0
0 2 3
1 0 3
3 2 1
10 6
3 1 2
3 0 1
1 2 3
3 1 0
0 2 2
1 1 2
2 2 2
2 2 3
0 0 3
0 1 3
10 6
0 3 1
2 1 1
0 2 0
0 3 0
3 2 1
1 1 1
3 1 3
0 2 2
2 2 1
1 3 0
10 3
3 1 1
0 2 0
2 2 2
1 0 2
0 2 1
3 3 3
1 1 3
1 3 0
3 3 1
2 3 3
10 7
0 3 0
0 3 2
2 1 2
1 0 2
1 3 0
2 2 2
3 2 1
0 0 2
1 0 0
0 2 3
10 3
1 0 2
1 1 2
1 0 0
0 1 1
0 2 0
1 2 2
2 0 0
1 0 1
2 2 1
2 2 0
10 6
2 2 0
0 1 1
1 0 2
0 2 2
1 1 2
1 1 1
1 2 2
1 0 0
2 2 1
2 1 1
10 5
3 3 1
2 3 1
1 2 0
2 0 2
1 3 3
0 3 0
0 3 3
0 1 1
1 1 0
2 3 0
10 8
0 0 1
0 0 2
1 2 2
0 2 2
0 2 0
2 0 1
0 0 0
0 1 0
2 1 1
1 2 0
10 4
2 0 2
2 0 0
2 2 0
1 2 1
2 2 1
2 0 1
0 2 0
1 0 2
1 0 0
0 1 1
10 9
1 2 0
1 1 1
0 0 2
0 2 1
2 0 2
0 1 2
0 2 2
2 2 0
2 0 1
1 0 1
10 8
2 1 2
0 1 1
1 0 0
1 0 1
1 0 2
0 0 2
2 2 1
0 0 1
1 2 2
2 2 2
10 2
2 0 1
2 0 0
0 1 1
2 1 2
0 2 1
1 0 2
0 0 1
1 1 2
0 0 2
1 0 1
10 6
2 0 1
3 2 2
3 2 1
2 3 1
3 1 0
3 1 3
3 2 0
0 3 3
2 2 3
0 2 3
10 5
0 2 1
0 0 0
1 2 1
0 1 2
0 0 2
2 0 1
0 2 2
1 0 1
0 1 1
1 0 0
10 4
2 0 2
1 2 0
3 0 0
0 2 0
3 0 1
0 1 3
2 0 0
1 3 0
3 3 1
0 1 1
10 9
1 2 0
2 3 0
2 0 3
1 1 3
3 3 1
1 0 1
3 0 1
2 0 2
0 1 3
1 0 2
10 7
0 1 0
0 2 1
3 2 3
0 0 1
2 0 0
3 2 1
2 2 1
2 3 1
0 2 2
1 0 0
10 3
1 2 2
0 0 0
2 1 0
1 3 3
2 0 3
1 1 3
2 3 1
3 0 2
0 2 0
1 2 3
10 8
1 3 0
1 0 2
1 2 2
1 3 2
0 3 2
0 0 2
3 0 0
2 1 2
0 1 3
1 1 2
10 9
0 0 3
0 3 0
0 1 1
3 1 1
0 2 0
2 2 1
3 2 1
3 0 2
1 3 0
2 1 0
10 4
3 3 2
0 1 0
0 1 2
2 2 1
2 3 2
1 1 3
1 1 0
3 2 0
2 0 3
2 2 2
10 4
2 2 1
1 2 0
0 0 2
0 1 1
2 2 0
1 1 2
0 2 2
1 2 1
1 0 2
0 1 2
10 6
1 1 1
0 2 1
2 2 0
2 0 0
2 3 0
3 3 0
2 1 1
0 0 3
1 3 3
2 1 0
10 7
1 0 0
1 2 1
3 1 0
3 0 3
3 3 2
2 3 1
0 1 3
2 2 3
3 1 3
2 1 3
10 6
3 3 2
2 2 1
0 1 1
2 0 2
1 0 2
1 0 3
2 3 0
2 2 2
0 1 2
3 0 2
10 6
1 3 2
1 3 3
1 2 0
0 2 3
2 2 1
1 3 1
3 1 3
3 3 1
2 2 0
0 3 0
10 2
2 0 0
1 2 2
2 3 2
1 2 0
0 2 1
3 2 2
1 1 1
1 3 2
0 1 1
3 0 1
10 4
0 1 2
1 0 0
2 0 0
0 0 2
1 2 1
0 1 0
1 0 2
1 1 1
2 1 1
2 2 2
10 7
1 0 3
2 3 0
3 0 1
0 0 3
1 1 0
2 3 2
0 0 2
0 3 1
3 3 2
1 1 1
10 6
1 3 3
1 1 0
2 2 0
2 1 0
2 0 3
2 1 2
3 1 1
3 3 0
3 0 2
1 0 1
10 5
0 2 0
3 2 0
3 2 2
2 0 3
0 2 2
1 3 2
0 2 1
3 3 2
1 0 0
3 1 2
10 9
1 0 0
0 2 0
0 1 1
2 1 2
1 2 0
2 2 1
0 2 1
2 1 1
1 2 1
1 1 2
10 7
2 1 1
1 2 3
3 1 0
0 3 0
0 0 0
2 3 0
2 3 2
0 2 2
3 3 3
0 3 1
10 2
2 2 1
0 0 0
2 2 2
2 0 0
0 1 0
0 0 1
1 2 0
0 2 0
2 1 2
1 0 0
10 5
0 3 1
2 2 2
0 3 0
3 0 0
0 1 3
3 2 3
2 0 2
1 1 3
3 3 1
2 2 0
10 4
3 3 2
0 0 2
3 3 3
2 3 1
1 2 2
2 0 2
1 2 1
0 0 3
2 0 1
3 3 0
10 5
0 0 2
1 1 1
0 2 0
0 2 1
0 0 1
2 2 0
1 1 0
2 0 0
1 2 1
0 0 0
10 4
1 1 2
0 2 0
1 1 0
1 2 0
1 0 2
2 0 2
1 0 1
0 1 1
1 2 1
0 2 2
10 4
0 1 2
2 0 2
0 0 2
1 1 0
0 0 0
1 1 1
2 1 2
0 2 2
2 0 0
2 1 0
10 3
3 3 3
2 3 2
1 0 2
0 0 0
1 3 2
1 1 1
2 2 2
0 2 3
3 0 3
1 2 0
10 7
0 0 1
2 2 2
1 2 2
3 2 1
0 1 2
3 3 0
2 3 1
1 1 3
1 3 0
3 0 2
10 5
2 0 0
2 1 2
2 2 1
0 0 2
0 1 0
1 2 1
0 2 0
0 1 1
2 1 1
1 2 2
10 4
2 0 0
1 1 2
0 0 0
1 1 1
0 0 1
0 0 2
0 2 1
2 1 2
0 2 0
1 1 0
10 4
2 3 1
2 1 0
2 0 0
2 3 0
1 1 2
0 3 1
3 1 0
1 2 1
1 0 1
0 1 0
10 8
2 1 2
1 2 0
0 0 2
1 2 1
1 0 0
0 1 1
2 0 0
2 2 1
1 1 1
1 0 2
10 4
2 2 2
2 0 3
3 3 0
0 2 0
3 2 2
2 3 1
1 3 2
1 1 0
1 2 3
1 1 2
10 5
0 0 0
0 0 2
1 0 1
1 0 0
1 1 1
2 2 0
2 0 2
0 1 2
1 2 2
2 1 0
10 6
2 0 0
0 2 2
1 2 0
2 1 2
1 1 0
1 1 2
1 2 1
2 0 2
2 2 0
0 0 0
10 6
1 1 0
1 0 1
1 0 2
1 0 0
2 2 2
1 2 0
1 1 2
1 2 2
2 0 0
2 1 1
10 5
2 3 1
2 1 1
0 2 2
0 3 3
0 3 1
3 2 0
2 3 2
1 1 2
3 1 0
0 0 0
10 9
2 3 2
3 1 2
2 1 2
3 0 0
1 0 3
0 3 2
1 3 1
0 2 2
2 2 0
0 3 3
10 4
3 3 0
1 1 2
2 1 1
0 2 1
0 1 2
3 1 2
3 3 3
3 0 3
3 0 1
3 2 0
10 9
2 0 1
0 0 1
1 1 1
2 2 2
0 0 2
1 2 1
0 1 1
0 2 0
1 0 0
1 1 0
10 9
1 1 0
1 0 1
2 1 2
1 0 3
1 3 1
0 2 0
1 2 1
1 0 2
2 3 2
0 1 1
10 8
3 2 3
3 0 2
0 3 0
2 2 2
2 1 3
0 1 3
0 1 0
3 2 2
0 0 1
3 3 3
10 6
2 0 2
3 2 2
0 2 3
3 3 0
1 1 0
3 2 3
2 2 1
0 0 1
2 0 0
0 0 0
10 5
1 3 3
2 1 1
2 1 2
0 0 2
0 2 1
0 2 3
0 0 0
3 0 2
0 0 3
3 3 2
10 5
1 0 1
1 2 0
2 2 2
0 2 2
1 2 1
1 1 1
2 1 0
0 1 2
2 1 2
1 2 2
10 7
1 1 0
2 1 2
1 0 1
1 2 1
2 0 1
1 0 0
2 0 0
1 1 1
2 2 0
2 1 1
10 2
0 1 2
2 2 2
2 0 0
0 0 2
1 2 2
1 1 0
0 1 1
1 0 2
2 1 0
1 1 2
10 6
2 3 2
2 2 0
0 1 1
1 0 1
1 1 2
3 2 2
3 3 0
0 1 2
3 0 2
0 2 2
10 9
0 0 2
2 2 0
0 1 1
1 0 0
2 2 1
2 1 2
0 0 1
1 0 2
0 1 2
1 1 1
10 5
2 2 2
2 0 2
0 1 2
0 2 1
1 1 1
2 2 1
2 1 0
1 2 0
0 1 0
2 1 2
10 5
1 2 0
0 0 1
1 1 0
1 1 1
0 1 2
1 0 0
0 2 2
0 2 1
0 1 0
2 0 0
10 4
3 1 3
3 2 0
1 0 3
1 0 1
0 0 0
1 1 1
1 1 2
2 1 1
3 0 3
1 1 3
10 6
2 1 2
1 1 0
0 1 1
1 0 1
1 0 2
2 1 1
2 0 1
2 2 0
0 2 1
1 2 0
10 9
2 0 1
1 2 2
1 0 2
2 1 0
0 0 1
1 0 0
2 2 1
2 0 0
1 1 1
2 0 2
10 5
2 1 0
1 1 2
0 1 0
2 1 1
1 0 0
1 1 1
2 2 0
0 0 0
0 1 1
0 0 1
10 4
1 2 1
3 3 0
2 0 0
0 1 3
1 3 0
0 2 3
0 1 2
3 0 3
2 2 1
3 2 0
10 2
0 3 2
3 0 2
2 1 0
0 1 1
2 2 1
0 3 1
3 3 2
3 1 3
0 2 2
3 2 3
10 5
0 1 0
2 1 0
0 0 2
0 2 0
1 1 2
2 0 2
2 1 1
0 1 2
1 0 1
2 2 2
10 2
0 2 2
1 0 1
2 0 0
2 0 1
2 0 2
1 0 0
1 2 1
2 1 2
1 2 2
2 2 1
10 4
1 0 2
0 0 2
1 0 1
0 1 0
0 2 1
0 0 0
1 2 0
1 1 2
2 1 2
1 2 1
10 3
0 0 2
1 0 2
2 1 2
1 2 2
1 1 0
1 2 0
1 2 1
1 1 2
0 1 1
0 2 1
10 8
1 1 0
3 0 3
3 0 1
2 0 3
0 3 3
2 0 0
2 1 2
3 1 0
1 0 1
0 3 0
10 3
1 1 1
1 1 2
0 2 1
2 2 1
0 1 2
1 2 1
0 0 1
0 1 1
2 0 2
1 2 0
10 2
2 1 0
1 0 1
0 1 0
2 1 2
2 2 1
1 0 2
0 0 0
2 0 1
0 1 2
1 2 1
10 8
2 2 3
0 0 3
2 2 0
3 1 0
1 1 1
2 0 2
0 1 0
0 0 0
2 3 1
2 3 0
10 9
2 0 1
1 1 0
0 1 0
1 0 0
1 2 0
0 0 2
0 1 1
2 2 0
2 0 2
1 2 1
10 9
2 1 1
2 3 2
3 0 2
1 3 0
3 1 2
0 1 3
1 0 2
0 2 2
2 1 3
0 2 1
10 3
0 1 1
0 0 0
3 1 0
2 1 2
0 2 2
1 1 3
1 0 0
0 3 3
3 2 3
0 1 2
10 6
2 0 1
0 2 1
2 1 0
2 2 0
1 2 1
2 0 0
1 2 0
1 1 2
0 2 2
0 2 0
10 7
1 2 1
2 0 2
2 1 2
1 0 2
2 2 1
2 2 2
1 1 0
0 0 0
0 0 2
1 2 2
10 9
0 2 0
0 3 0
1 3 3
1 1 3
1 3 0
3 2 3
1 0 2
1 0 0
1 3 1
0 1 0
10 4
2 2 0
0 1 0
0 2 1
1 1 2
2 0 1
1 0 0
1 2 0
1 1 0
0 1 2
0 0 0
10 3
0 2 3
0 1 3
0 1 0
2 0 1
0 0 0
2 2 0
0 2 1
2 0 3
1 2 1
3 1 3
10 7
1 1 0
1 0 3
0 0 0
0 0 3
1 2 1
2 0 2
2 2 1
3 3 3
0 2 1
0 2 0
10 2
1 2 0
2 3 2
3 3 2
0 3 1
2 1 3
1 2 1
3 2 0
0 3 0
3 2 1
3 3 0
10 5
3 0 3
2 1 3
1 0 3
2 3 0
1 0 0
2 2 0
1 1 2
1 3 2
3 3 0
0 2 1
10 3
1 2 1
0 0 2
3 3 2
0 0 3
1 2 3
2 1 2
0 0 0
2 3 1
0 2 3
0 0 1
10 4
1 2 2
2 1 2
0 1 1
2 0 1
1 1 2
2 2 1
0 2 1
0 0 2
0 1 2
1 1 1
10 3
1 1 0
2 2 0
0 1 0
3 3 2
1 1 3
3 2 1
3 0 3
1 3 2
2 0 2
1 1 1
10 4
2 1 1
2 2 2
0 2 0
0 0 0
1 0 0
0 1 0
0 2 1
1 2 2
1 1 0
2 0 1
10 3
0 1 1
0 1 0
2 1 2
0 1 2
1 2 2
2 2 0
1 2 1
2 0 1
0 0 0
1 2 0
10 6
0 2 0
2 1 0
2 1 1
1 1 2
1 2 1
2 1 2
0 0 2
0 2 1
2 2 2
1 2 0
10 6
2 0 0
2 3 2
1 0 2
2 0 3
1 1 0
0 3 3
1 0 0
0 2 1
0 3 2
3 3 3
10 3
0 0 1
1 0 0
2 0 1
2 2 2
2 0 0
0 1 0
1 0 1
1 1 2
1 2 0
0 2 1
10 3
1 2 2
1 0 2
0 1 1
0 0 1
2 0 2
0 1 0
1 1 2
0 0 0
2 2 2
0 1 2
10 2
2 1 0
3 3 2
3 1 3
3 0 0
3 0 3
3 1 1
0 1 2
1 0 1
2 2 2
1 0 3
10 6
2 2 1
1 1 1
1 0 2
1 2 1
0 0 2
0 1 0
2 0 0
1 2 2
0 1 1
1 1 2
10 6
0 2 0
0 1 2
2 2 2
0 0 2
2 2 0
2 0 2
2 0 0
1 2 2
2 1 0
0 2 2
10 5
1 0 1
2 1 1
0 2 1
0 2 2
1 0 0
0 0 0
1 1 1
0 3 1
1 2 2
3 3 3
10 2
2 2 1
0 2 2
0 1 0
1 2 0
1 1 2
2 0 1
2 2 2
1 2 1
1 0 0
2 2 0
10 7
1 1 1
2 2 2
0 1 2
0 2 2
1 2 2
1 1 2
1 1 0
2 0 2
1 0 0
0 0 2
10 7
1 2 2
2 0 1
2 2 2
2 0 2
0 1 1
0 2 1
2 1 1
0 2 0
0 0 2
0 0 1
10 9
0 0 0
0 2 0
1 2 2
0 2 2
1 2 0
1 0 2
2 1 2
1 1 0
0 0 1
1 1 1
10 5
1 1 1
0 3 3
1 2 2
2 0 2
2 0 3
0 1 3
0 2 3
3 3 3
2 3 0
1 2 0
10 4
1 3 3
1 0 3
1 1 2
2 3 0
2 3 2
0 0 1
1 2 2
1 2 3
2 3 3
2 1 2
10 9
3 1 3
1 3 2
0 0 2
0 3 0
0 1 3
3 0 2
0 3 1
2 1 0
2 1 2
0 2 1
10 4
0 1 2
1 0 2
3 3 3
3 2 0
3 2 2
3 1 2
0 1 3
1 3 1
0 2 3
2 1 1
10 6
2 2 1
2 2 0
1 3 3
1 2 2
2 3 1
3 3 3
3 3 2
2 1 0
2 1 1
3 0 3
10 7
0 0 1
1 3 1
2 2 3
0 0 2
1 2 1
2 3 3
1 3 0
2 1 1
0 3 0
2 0 1
10 7
1 1 2
0 1 1
3 0 2
1 1 3
3 3 1
0 1 0
1 2 0
0 3 0
0 2 2
2 2 0
10 2
1 0 2
1 2 2
0 0 1
1 1 1
0 0 0
2 0 0
0 2 2
0 1 2
1 1 0
1 2 1
10 4
1 2 3
3 1 2
0 2 0
2 3 1
3 3 1
0 1 3
1 2 0
3 0 2
0 1 0
2 0 0
10 7
2 0 2
3 0 0
0 1 0
1 3 2
2 3 0
2 2 0
0 2 2
0 2 3
3 2 2
1 1 2
10 6
1 2 0
0 0 2
0 0 1
2 0 3
2 0 1
3 0 0
3 3 3
3 3 0
0 0 3
1 0 1
10 3
0 0 2
0 3 2
0 2 1
3 2 2
2 2 0
1 2 1
0 3 3
0 1 3
0 1 1
1 2 3
10 8
0 0 0
1 2 0
1 0 2
1 0 0
2 1 1
1 1 0
1 1 1
2 1 0
0 0 2
1 2 2
10 8
1 3 2
1 3 1
2 2 2
0 3 1
3 1 0
0 3 2
1 2 1
3 1 3
1 0 1
2 1 0
10 6
1 0 2
2 3 1
3 2 2
3 0 0
3 2 1
0 2 2
3 2 0
0 1 1
2 2 0
2 0 2
10 8
3 1 1
0 1 3
0 0 1
1 2 3
0 3 3
3 3 0
0 0 2
2 3 3
3 3 1
3 3 3
10 9
2 2 1
2 2 2
1 1 2
0 0 1
2 1 2
1 0 1
0 0 0
2 2 0
2 0 0
1 0 0
10 8
3 3 0
1 1 1
0 1 2
3 1 2
1 2 1
2 1 1
0 2 1
2 0 2
3 1 1
0 3 2
10 7
2 1 0
2 1 2
0 2 1
0 0 0
0 0 2
1 1 0
0 0 1
1 1 2
1 2 2
2 0 2
10 8
1 1 0
0 0 0
1 0 0
0 0 1
1 2 2
2 0 1
1 1 1
1 1 2
0 2 1
0 0 2
10 2
3 3 0
2 3 0
3 0 0
0 1 0
3 1 1
0 0 1
2 2 3
2 1 0
0 3 1
1 1 1
10 3
0 0 0
0 0 1
2 2 1
2 0 2
2 1 2
1 2 2
1 1 0
0 1 1
2 0 0
0 1 0
10 6
1 1 1
0 1 1
1 2 1
0 0 1
2 0 2
2 2 1
1 2 0
2 0 0
0 2 0
2 1 0
10 6
0 1 1
1 1 1
0 1 0
2 2 0
2 0 1
1 0 2
1 1 2
1 2 0
2 0 2
2 2 2
10 2
1 2 0
3 1 3
2 3 2
0 2 2
0 1 3
0 1 1
0 0 2
2 2 0
0 1 2
3 0 3
10 2
0 2 0
0 1 0
2 1 1
1 2 1
2 2 2
2 1 0
0 0 1
1 1 2
0 1 2
2 0 1
10 3
0 0 1
2 2 1
0 2 2
2 1 0
0 2 0
0 1 0
1 0 2
2 0 0
1 2 0
0 0 0
10 7
2 0 0
3 0 1
1 3 2
3 0 3
3 1 2
3 1 0
1 3 3
3 1 3
0 2 2
3 3 0
10 4
0 0 2
0 1 1
1 0 1
0 2 1
2 0 2
1 2 0
2 0 0
2 2 2
0 0 0
1 0 2
10 7
3 2 2
3 0 0
3 3 0
1 3 2
3 3 1
1 2 3
1 0 0
1 2 1
2 0 3
0 3 2
10 3
1 0 2
3 3 1
0 0 1
3 3 2
2 0 1
0 1 1
1 2 2
1 1 0
1 0 3
2 0 3
10 6
0 2 0
0 0 1
1 1 0
0 1 1
1 0 2
1 0 1
2 1 2
1 2 2
2 2 1
2 2 0
10 9
2 2 0
1 2 0
0 1 1
1 0 2
1 1 0
3 3 0
1 2 1
3 3 2
1 1 1
3 0 3
10 5
1 1 0
1 0 0
0 0 3
3 1 0
3 2 2
0 0 1
2 3 2
1 0 1
2 1 0
0 3 1
10 3
0 2 2
2 1 2
1 2 1
0 0 2
0 1 0
0 1 1
1 1 0
1 2 0
2 0 2
1 0 0
10 3
0 1 2
1 3 2
2 3 2
0 3 3
0 3 0
3 0 0
3 2 0
0 2 0
2 0 1
2 1 1
10 8
2 2 2
2 0 0
2 2 1
3 2 1
1 0 2
0 1 3
2 0 2
0 0 3
2 2 0
2 1 2
10 3
2 3 1
2 1 2
2 1 1
2 1 0
1 1 2
1 2 3
1 1 0
3 2 2
1 0 1
0 3 3
10 2
0 3 2
3 0 1
0 1 3
2 3 1
3 0 3
3 2 1
1 0 2
0 3 0
3 3 0
2 2 2
10 9
0 2 0
1 0 1
0 0 0
2 2 0
1 0 0
2 1 0
1 1 1
0 1 0
0 1 2
2 2 2
10 4
1 2 2
0 1 2
2 1 2
2 0 2
0 0 0
1 0 1
2 2 2
1 0 0
2 2 0
0 2 1
10 7
0 0 1
1 2 3
0 1 2
2 0 0
3 3 3
1 1 1
3 2 2
2 2 2
3 0 0
1 1 2
10 4
2 1 0
1 1 2
2 0 2
1 0 0
2 2 2
0 0 1
0 1 0
2 2 0
0 2 2
2 1 2
10 6
0 0 2
2 0 0
2 1 1
0 1 2
2 0 1
1 2 2
1 0 0
1 1 1
1 2 1
1 0 2
10 2
2 2 2
2 0 1
2 0 2
1 2 2
2 0 0
0 0 1
1 0 1
2 1 0
1 2 1
2 2 1
10 7
2 2 1
1 1 3
3 3 0
0 3 0
0 3 3
2 2 2
0 0 3
0 2 3
3 0 2
3 3 3
10 6
0 1 1
2 2 1
0 0 0
2 1 2
0 2 1
2 2 2
1 1 0
1 1 2
2 2 0
1 0 1
10 9
1 1 0
1 0 0
1 2 1
2 0 2
0 0 1
2 0 1
0 0 2
0 0 0
0 2 0
1 2 0
10 9
3 2 0
1 2 2
0 0 0
3 1 0
0 2 1
1 1 1
3 3 1
2 0 1
3 0 2
0 1 2
10 5
2 0 2
2 2 0
2 2 2
0 0 2
0 2 2
0 0 0
2 1 1
1 0 2
2 0 1
1 1 0
10 4
1 1 2
3 1 3
0 1 2
2 3 0
1 0 1
2 0 3
2 1 1
0 2 0
2 0 2
3 3 2
10 5
2 2 3
3 2 2
3 1 0
3 1 3
0 1 1
3 3 3
1 3 1
1 1 3
3 1 1
1 0 1
10 9
2 1 2
3 1 0
0 2 2
2 1 1
1 1 3
2 1 0
3 3 3
0 1 3
0 3 2
2 3 2
10 9
1 2 0
0 1 2
2 2 1
1 0 1
2 2 0
2 1 1
0 1 0
2 1 2
1 0 2
1 1 1
10 9
0 0 2
1 3 0
0 2 2
3 2 3
1 3 2
2 0 1
0 2 1
0 3 2
3 3 0
3 0 3
10 7
1 0 2
2 2 2
0 2 1
0 2 2
0 0 0
1 1 1
2 0 1
0 1 2
0 2 0
0 0 2
10 5
1 2 1
2 1 1
0 2 0
2 2 2
1 0 1
2 2 0
1 2 2
1 0 0
2 0 0
1 1 1
10 5
2 1 0
0 0 1
3 1 1
3 3 1
1 2 0
0 2 2
1 1 1
2 2 3
2 0 1
0 2 0
10 3
1 1 1
2 2 1
1 2 0
2 1 1
0 1 1
1 1 0
1 2 1
2 0 2
0 0 1
0 0 0
10 7
2 3 0
3 1 0
0 0 3
3 3 0
2 0 3
1 0 2
3 2 0
3 1 3
2 2 1
1 0 1
10 5
0 1 3
3 2 0
1 3 3
0 3 2
2 2 2
1 2 1
1 1 2
2 3 3
2 0 3
0 0 0
10 9
0 2 0
1 1 2
2 0 1
2 2 0
2 2 2
0 1 1
2 1 0
2 0 0
0 0 0
1 1 1
10 8
1 0 2
0 0 2
0 0 1
2 2 0
1 0 0
0 2 0
0 1 1
2 0 2
2 1 1
1 2 0
10 2
1 0 2
1 2 0
0 2 1
1 1 2
1 1 1
0 1 1
2 0 0
1 2 1
0 2 2
1 0 1
10 6
2 1 1
3 2 1
0 0 3
2 2 0
3 1 0
2 2 2
0 1 3
1 1 3
3 3 1
0 2 0
10 5
2 0 3
0 2 1
1 1 3
3 1 3
1 0 0
1 1 2
2 2 3
0 3 1
3 3 2
1 2 2
10 9
1 1 1
0 1 2
2 1 0
1 0 0
2 0 1
1 1 0
1 2 2
1 0 2
2 2 0
2 2 1
10 8
1 2 0
3 3 0
3 2 1
0 1 1
1 3 1
2 2 3
2 0 3
2 1 1
2 3 3
0 3 0
10 2
2 1 0
2 2 1
1 2 1
0 0 2
0 2 2
0 1 0
1 0 0
2 2 0
1 0 1
2 1 2
10 5
2 1 2
0 0 2
1 2 0
0 1 2
0 1 0
1 1 0
2 0 1
2 0 2
0 2 0
1 1 2
10 6
0 0 0
2 2 0
1 1 1
2 0 1
0 1 2
0 1 1
1 1 0
1 1 2
1 2 2
0 1 0
10 3
1 2 1
3 3 1
0 2 0
2 3 3
0 1 3
3 2 0
3 3 0
3 0 0
3 0 1
2 1 0
10 5
2 3 1
1 2 0
2 1 3
2 0 0
2 2 0
3 0 1
3 1 1
0 3 2
0 1 3
3 3 3
10 9
3 0 3
1 0 1
0 0 0
2 1 2
0 0 3
1 0 0
2 2 3
2 3 2
0 1 1
0 1 3
10 9
0 3 3
1 2 0
1 1 3
3 2 3
3 3 3
0 2 0
1 3 2
3 3 2
1 3 0
3 0 3
10 4
2 0 3
3 1 3
2 0 0
0 0 3
1 2 2
3 3 2
0 2 0
3 3 0
1 3 1
1 1 2
10 4
3 1 2
3 2 1
3 2 2
1 1 1
0 0 1
1 3 3
1 1 0
3 0 2
3 0 1
2 3 0
10 9
0 0 1
0 2 0
2 2 1
0 1 1
2 1 1
1 0 2
1 1 2
1 1 1
2 0 2
2 0 0
10 5
2 2 2
1 1 2
1 0 2
3 1 2
2 1 3
3 0 2
1 1 3
1 3 2
0 1 0
1 0 1
10 5
2 0 1
2 2 1
0 2 0
0 1 1
1 0 0
0 0 1
2 0 0
2 1 1
1 1 2
1 2 2
10 9
1 1 0
2 0 2
0 1 0
1 0 2
2 2 2
1 0 0
2 0 0
1 2 0
2 1 2
1 1 1
10 7
2 0 1
0 2 2
1 2 2
1 1 0
2 1 1
2 2 2
1 2 0
2 2 0
0 1 0
2 1 0
10 4
1 0 0
0 1 1
2 2 0
1 2 2
0 0 2
1 2 1
2 1 0
1 1 1
0 0 1
2 2 1
10 9
1 2 1
0 1 0
0 3 0
1 2 3
3 3 0
3 2 1
3 3 2
0 0 2
1 0 1
0 2 3
10 5
2 0 3
2 2 0
3 0 3
3 1 1
0 3 3
0 0 3
3 1 2
0 1 3
0 0 2
1 2 3
10 4
1 0 2
0 1 1
0 0 2
2 0 0
1 0 1
0 1 0
2 1 0
1 2 0
1 0 0
0 0 0
10 2
2 0 2
1 0 1
0 0 1
1 0 0
2 2 1
0 2 2
2 0 1
1 1 1
2 2 0
2 1 1
10 4
2 2 0
0 2 0
0 0 1
2 0 1
1 1 2
0 0 2
0 1 0
2 1 1
1 1 1
0 1 2
10 8
2 3 3
2 2 3
2 2 1
0 1 2
2 1 0
3 3 0
3 0 2
1 3 1
3 1 1
3 1 2
10 6
2 3 2
3 3 3
3 0 0
1 1 2
2 0 2
2 1 1
0 1 1
2 2 2
2 2 1
1 2 2
10 5
3 0 0
0 0 3
0 3 3
3 0 3
3 2 3
2 3 1
2 0 1
1 0 3
0 2 2
1 1 0
10 2
1 0 0
0 0 1
2 0 2
0 0 2
0 2 0
2 0 0
1 1 1
2 0 1
1 0 2
2 2 2
10 9
0 1 0
1 2 2
1 1 0
0 1 1
1 1 2
1 0 0
2 1 2
1 1 1
0 1 2
0 0 0
10 8
2 0 3
3 2 3
1 1 2
0 2 0
1 0 2
2 3 2
3 1 0
3 0 0
3 2 0
2 1 0
10 9
1 2 1
2 2 3
0 3 2
3 2 1
1 2 3
3 2 3
1 3 1
3 1 0
3 0 1
1 1 3
10 3
2 0 2
0 2 0
1 2 1
1 1 1
2 1 1
1 1 2
2 2 0
2 2 1
2 2 2
1 2 0
10 4
2 3 0
1 1 0
3 2 3
3 3 1
0 2 3
2 0 2
2 2 0
3 3 0
1 0 3
0 3 1
10 6
1 3 3
2 0 3
3 0 3
3 2 3
1 1 0
3 1 0
0 2 1
1 0 2
3 1 3
2 1 1
10 2
1 1 3
3 3 3
1 0 1
2 1 3
0 0 2
1 3 3
2 2 3
0 0 0
1 2 0
3 3 0
10 7
0 0 0
1 2 2
0 2 2
3 0 2
2 2 2
3 1 2
0 2 0
3 2 1
2 3 1
3 0 0
10 7
2 0 0
0 1 0
0 2 2
1 0 0
0 2 1
2 1 2
2 0 2
0 0 1
2 2 2
0 1 2
10 2
2 0 0
1 1 2
1 0 0
1 0 1
1 2 2
0 0 0
0 2 2
2 1 2
2 2 1
0 2 1
10 7
3 1 2
2 3 3
1 0 0
2 0 0
0 0 3
1 0 1
1 3 2
1 1 1
2 3 1
0 1 2
10 2
0 1 2
2 1 2
2 0 0
1 1 1
2 1 0
0 1 0
1 2 0
2 0 1
2 0 2
0 2 0
10 3
1 1 0
2 1 0
2 1 1
1 1 2
2 0 2
0 2 0
0 1 1
0 0 0
1 2 1
2 1 2
10 2
1 0 1
1 0 0
2 0 1
0 1 2
1 1 2
1 1 1
0 0 2
2 2 0
2 0 2
0 1 0
10 3
0 1 2
0 1 1
0 2 3
3 3 1
1 2 3
1 2 1
3 2 0
3 0 1
0 0 1
1 1 3
10 7
2 1 3
1 0 3
3 3 1
2 1 0
0 3 0
2 0 3
1 0 2
1 1 1
0 0 2
0 3 1
10 9
2 0 0
0 3 0
2 3 1
1 3 1
2 3 2
1 0 1
1 0 0
2 0 3
1 2 0
0 2 1
10 7
0 1 2
1 2 2
2 1 0
0 1 1
2 0 2
2 2 0
1 1 1
1 1 2
2 1 1
1 0 0
10 9
0 2 1
1 1 1
0 2 2
1 2 2
2 1 2
0 0 0
0 0 2
2 0 1
2 0 2
0 1 1
10 9
1 2 0
1 2 1
1 1 0
2 1 2
0 0 2
0 1 1
0 1 2
1 1 2
0 0 0
1 0 0
10 2
1 0 0
2 1 2
1 1 0
0 0 1
0 0 2
1 1 2
0 1 2
2 0 2
0 1 0
2 2 0
10 4
0 2 2
1 0 2
1 0 1
0 1 2
0 0 1
0 1 0
2 0 2
0 2 0
0 0 0
1 2 1
10 6
0 3 3
2 0 0
0 2 3
3 1 3
2 0 3
1 3 2
2 3 0
2 1 2
3 0 2
1 1 2
10 4
0 0 1
1 1 2
2 0 2
2 2 1
2 1 1
0 1 2
0 1 1
1 2 1
1 2 0
2 2 0
10 4
2 2 2
1 0 0
0 0 2
0 0 0
2 1 1
1 1 1
2 2 0
0 1 1
0 2 2
2 0 2
10 7
0 2 2
2 1 2
0 1 2
2 0 0
2 0 1
1 0 2
0 1 1
1 0 0
1 2 0
1 2 2
10 4
0 0 0
0 2 1
2 0 0
1 0 0
0 1 0
2 2 2
2 0 1
1 2 0
1 0 1
0 0 2
10 6
1 1 0
2 1 2
1 1 2
0 2 0
1 2 0
0 2 1
2 0 2
2 1 0
2 0 0
0 1 2
10 9
2 2 1
0 2 1
2 1 0
1 2 1
0 0 1
1 1 2
2 2 0
2 0 1
0 1 0
1 0 0
10 8
0 3 1
2 2 2
2 3 3
3 0 2
3 3 2
3 0 0
1 1 0
2 0 2
0 0 0
3 2 3
10 6
1 2 0
2 0 0
0 2 2
2 1 0
2 0 1
0 1 0
2 2 1
1 0 1
0 0 2
1 1 0
10 9
0 1 2
1 0 1
2 1 0
2 1 1
0 2 0
1 2 0
1 1 0
2 0 2
2 2 2
0 2 1
10 8
0 3 3
3 1 2
3 0 0
3 0 3
2 0 1
1 2 0
0 1 1
1 0 0
3 3 0
2 2 2
10 9
2 1 0
1 1 1
3 3 2
2 2 3
2 1 1
2 0 1
3 2 0
0 1 0
3 0 3
1 3 1
10 2
2 0 1
1 2 1
0 1 2
1 2 0
0 1 1
1 1 1
0 0 2
2 1 1
1 1 2
2 2 0
10 3
2 1 0
1 0 2
2 0 0
2 0 2
2 1 1
1 2 0
2 2 1
1 1 1
0 0 1
2 0 1
10 6
1 0 2
0 1 0
0 2 1
0 1 1
2 2 0
2 0 2
0 2 0
0 0 1
2 0 0
0 1 2
10 8
0 0 1
1 1 1
0 0 0
0 2 2
2 2 0
2 1 0
2 2 1
1 0 1
1 0 0
0 1 1
10 5
2 1 1
2 0 0
0 0 2
2 1 2
2 0 1
1 0 0
1 0 2
2 0 2
0 1 0
1 2 1
10 2
1 0 0
1 2 2
0 0 0
0 2 0
0 1 2
2 1 0
2 2 2
2 2 0
1 0 1
1 2 1
10 5
2 2 1
0 0 0
2 0 1
2 2 3
0 1 2
2 0 0
1 1 3
0 1 3
0 3 2
3 0 3
10 4
0 2 1
0 1 2
0 0 0
1 2 2
2 0 2
2 2 1
1 1 1
1 2 1
0 0 2
0 0 1
10 3
2 1 2
3 0 2
2 3 1
3 0 0
1 1 3
3 0 3
0 1 2
0 1 1
2 3 0
2 1 1
10 7
2 0 0
0 2 2
1 2 0
2 1 1
1 0 0
0 1 1
2 0 2
2 1 2
2 2 1
1 1 1
10 9
0 2 1
1 0 1
0 0 0
2 1 1
2 2 2
0 2 2
1 1 0
1 2 1
2 2 0
0 0 1
10 8
0 0 2
0 1 1
0 2 1
0 2 2
2 2 2
1 2 1
2 0 2
2 1 0
2 2 0
2 0 0
10 3
1 2 1
0 2 2
0 2 0
0 0 2
2 2 2
2 0 1
1 1 2
1 2 2
0 2 1
2 1 2
10 8
2 2 2
2 0 1
0 2 0
1 2 1
0 2 2
1 0 2
1 1 0
1 1 1
0 1 2
2 2 0
10 8
0 3 1
3 2 1
2 3 2
0 2 2
0 0 2
2 1 1
0 3 2
0 0 3
2 3 1
3 0 1
10 2
2 0 2
1 1 1
0 2 2
3 3 1
1 1 0
0 2 1
1 2 0
2 3 3
3 2 2
1 2 1
10 7
1 0 1
1 2 2
2 1 1
2 0 1
1 1 2
0 1 2
2 1 0
1 0 0
1 0 2
0 1 0
10 7
0 0 1
1 2 0
0 2 2
1 1 2
1 1 0
2 0 0
1 0 1
2 2 2
0 2 1
2 1 2
10 9
3 0 3
0 3 1
0 2 0
2 1 2
1 0 2
3 2 3
1 0 0
2 0 1
2 0 2
2 2 1
10 2
2 0 1
1 1 0
2 1 1
1 0 2
0 0 0
1 1 1
1 0 0
1 0 1
0 2 0
0 0 2
10 7
0 2 1
1 2 1
1 2 0
0 1 0
2 0 2
2 2 2
1 0 0
0 2 2
0 0 1
2 0 0
10 8
1 1 1
2 1 1
1 2 2
2 2 2
0 2 0
2 0 2
2 0 1
2 1 2
0 2 1
0 0 2
10 4
2 0 0
3 2 0
3 0 1
1 0 3
2 2 3
2 2 2
1 2 2
1 2 0
1 0 2
1 1 2
10 3
0 0 3
3 1 0
1 3 1
2 0 1
0 0 0
2 2 2
2 1 2
0 2 1
1 2 0
3 3 1
10 6
0 2 1
1 1 2
1 1 0
0 1 1
2 0 1
2 0 0
0 1 0
2 2 1
0 2 2
0 0 1
10 3
3 1 3
2 3 2
2 1 3
1 2 1
1 1 1
3 3 2
3 2 3
0 0 3
3 0 2
1 2 0
10 7
2 1 0
2 2 1
2 2 0
1 2 1
1 0 1
2 0 2
1 1 2
1 0 2
0 2 2
0 1 0
10 2
3 2 0
3 1 1
1 3 1
3 1 2
2 3 3
1 3 0
1 1 3
2 2 0
1 3 3
3 1 3
10 9
0 1 3
3 0 0
0 3 2
2 1 2
3 1 2
1 0 3
0 2 3
2 2 2
2 0 0
1 0 0
10 5
1 1 0
2 1 1
1 0 1
0 2 0
0 3 2
3 3 3
2 3 2
2 2 0
1 0 2
1 1 1
10 5
1 3 2
1 3 3
3 3 0
3 1 1
0 0 1
2 2 0
2 1 2
1 0 1
3 1 0
0 2 0
10 7
0 0 1
1 2 1
1 1 1
2 2 2
1 3 0
3 0 2
0 2 0
3 0 3
1 3 3
2 0 0
10 7
2 1 1
1 0 1
1 1 0
2 2 0
2 0 2
0 2 2
1 1 2
0 0 0
2 1 0
1 0 2
10 2
2 1 2
0 2 2
1 0 2
2 0 0
1 2 1
2 0 1
0 0 2
1 2 0
2 2 0
0 0 0
10 6
0 0 1
2 1 2
1 0 1
0 0 0
1 1 0
1 0 2
1 0 0
2 1 0
0 1 1
1 2 2
10 4
2 1 0
2 1 2
2 1 1
0 1 1
1 0 2
1 1 2
1 0 0
1 0 1
2 2 1
1 1 0
10 9
3 3 2
1 3 1
1 2 2
2 0 1
3 1 2
0 1 2
0 3 2
0 3 1
2 2 1
0 2 0
10 7
1 0 1
1 1 0
0 1 0
2 1 0
2 0 1
1 2 2
0 0 0
2 1 1
2 1 2
1 2 0
10 3
1 0 0
2 3 0
2 0 0
3 0 1
1 0 2
1 0 3
1 3 3
2 1 3
3 2 3
1 2 3
10 2
2 0 3
2 2 0
0 2 2
3 3 3
2 3 0
2 3 2
1 2 3
2 0 0
3 2 0
3 1 3
10 5
1 1 0
2 0 2
0 1 2
2 2 1
2 2 0
0 2 0
1 0 2
1 0 0
1 2 1
2 0 0
10 8
3 2 3
2 0 2
3 2 2
2 0 3
1 2 2
0 2 3
1 0 1
0 1 1
2 3 3
2 0 0
10 8
3 2 3
2 1 1
3 3 0
3 2 0
0 2 2
2 1 2
2 3 0
1 3 1
1 1 2
3 1 3
10 3
2 2 0
1 1 1
0 2 2
0 2 1
2 0 2
0 0 2
2 1 1
0 2 0
1 0 2
0 1 0
10 5
0 2 0
0 1 0
0 0 1
2 2 1
1 2 1
1 1 0
1 0 2
0 1 2
0 2 2
1 2 0
10 7
1 0 1
0 1 2
0 0 3
3 0 1
0 2 1
3 2 2
1 1 0
1 1 2
0 0 1
0 1 1
10 5
2 1 2
1 1 2
1 2 2
0 2 2
1 0 2
0 1 0
2 1 1
2 0 1
1 0 1
2 2 1
10 8
2 3 1
0 1 3
1 3 3
1 0 1
3 1 1
3 0 2
1 2 2
0 1 2
1 0 3
2 3 3
10 7
0 2 2
0 2 1
2 1 0
0 1 2
1 1 0
2 0 2
1 2 1
0 0 0
0 0 1
1 0 1
10 6
1 1 1
1 1 2
2 1 1
1 2 2
1 0 1
2 0 0
2 0 2
2 0 1
1 2 1
0 2 2
10 5
2 1 1
2 0 0
1 0 0
0 1 2
0 0 0
1 2 0
1 1 1
1 1 2
2 0 1
2 2 0
10 8
2 1 1
3 0 0
2 0 1
2 0 0
2 0 3
2 3 1
1 2 1
2 0 2
2 3 2
3 2 2
10 8
1 1 2
1 2 1
1 1 0
2 2 1
2 1 2
2 2 0
0 2 1
0 1 2
0 0 2
0 2 0
10 9
1 3 1
1 2 2
1 3 0
0 2 0
2 3 2
1 1 3
2 0 1
2 3 1
0 1 1
3 2 2
10 3
2 2 1
0 0 1
2 0 2
0 1 2
0 2 2
0 2 1
0 0 0
1 2 1
2 0 0
2 1 0
10 7
1 2 2
3 1 3
3 2 3
2 3 0
2 2 2
2 3 2
3 0 3
3 3 2
1 2 3
0 0 3
10 9
2 0 1
2 2 1
2 2 0
2 1 1
0 0 0
1 1 1
1 2 1
2 1 2
0 0 2
2 2 2
10 2
2 0 0
2 1 0
1 2 1
1 2 2
1 0 1
0 2 0
2 0 2
1 0 0
0 0 2
1 0 2
10 4
2 2 0
0 2 1
2 0 0
2 2 1
2 0 2
1 0 1
0 0 2
0 2 2
2 0 1
2 1 2
10 2
1 2 1
0 1 0
0 2 2
2 1 2
2 0 2
1 0 1
1 0 2
1 1 1
2 2 1
0 2 1
10 6
3 0 1
1 3 1
1 0 2
2 1 2
3 3 3
3 0 0
0 0 1
3 1 1
2 3 1
1 1 0
10 5
0 0 2
2 1 0
1 0 2
1 1 1
0 1 1
1 2 0
0 0 1
2 0 0
2 1 2
2 2 0
10 3
0 3 2
1 3 2
1 0 1
3 1 1
3 3 0
2 1 1
1 2 0
1 3 3
1 1 1
3 2 3
10 3
1 2 1
1 2 0
2 1 2
1 1 2
0 2 2
1 1 1
0 1 2
0 2 1
0 0 2
2 0 2
10 8
1 2 0
0 2 1
2 1 0
3 3 3
2 2 3
2 1 1
1 3 2
0 1 0
2 1 3
3 0 1
10 9
1 0 2
0 1 1
1 1 3
1 2 3
3 0 2
1 3 2
0 3 3
3 3 2
3 1 0
0 3 2
10 2
2 1 0
1 0 2
1 0 0
2 0 2
1 2 2
0 1 2
1 2 0
1 1 2
0 0 0
0 2 1
10 8
2 2 2
1 0 1
0 1 0
0 0 2
0 0 1
1 2 1
1 2 0
2 0 1
2 1 0
1 1 0
10 7
1 2 2
0 1 2
2 2 2
2 0 0
1 0 0
1 1 2
0 0 2
1 1 0
0 0 1
0 2 2
10 7
3 3 2
1 3 2
1 3 1
2 2 2
1 0 0
0 3 2
3 2 0
0 2 2
3 2 1
1 1 1
10 5
2 2 0
2 3 1
1 0 1
2 1 1
0 1 3
2 1 3
2 2 1
3 1 1
1 3 2
0 1 0
10 9
1 3 1
2 1 1
0 0 1
3 0 1
0 1 1
0 2 0
3 1 2
1 1 1
3 0 2
1 1 0
10 8
1 0 2
2 0 0
1 1 2
2 1 2
1 0 1
2 0 2
2 0 1
0 0 1
0 2 2
1 1 0
10 9
2 0 2
0 1 2
2 0 1
1 1 2
0 0 0
1 1 0
0 0 1
0 2 0
0 0 2
2 1 0
10 7
0 0 1
3 0 0
2 0 1
0 1 2
3 1 2
1 1 1
2 2 0
3 1 1
3 3 3
2 2 2
10 5
1 2 2
2 0 1
0 0 2
2 2 1
1 0 0
2 0 0
1 0 1
0 0 0
0 2 0
1 1 2
10 2
0 1 2
2 1 2
0 0 0
2 1 0
2 0 2
2 2 2
0 2 0
1 0 0
1 2 2
1 2 0
10 6
0 1 0
0 1 1
1 0 0
0 2 0
3 1 3
2 1 1
3 3 2
0 0 3
2 3 2
2 0 1
10 7
3 1 2
1 1 3
1 2 2
2 2 3
1 1 2
3 1 3
1 1 0
2 0 3
2 0 1
0 1 0
10 2
1 0 2
0 3 2
0 0 1
0 0 3
1 2 2
2 0 2
3 3 3
1 0 3
3 2 0
0 2 3
10 8
3 3 1
0 2 0
1 3 0
1 1 1
3 2 2
2 2 3
1 0 0
1 0 1
3 1 0
0 3 2
10 6
0 3 1
2 3 0
3 1 3
3 1 1
0 1 2
2 1 3
2 2 0
3 0 2
0 1 0
1 1 2
10 9
0 1 1
0 0 2
0 2 2
2 0 0
2 0 2
0 0 0
1 1 2
0 2 0
1 0 1
0 1 2
10 7
1 1 1
1 2 0
3 0 3
3 0 0
0 0 3
0 1 3
0 2 3
2 2 3
3 1 3
1 0 2
10 6
2 3 0
3 2 0
0 3 2
3 3 0
3 2 2
0 2 2
2 0 1
3 2 1
2 3 2
1 1 1
10 3
0 0 0
1 2 2
2 1 1
2 0 0
2 2 1
0 2 2
3 2 2
2 2 0
0 0 2
3 0 3
10 6
2 0 2
3 0 1
2 3 3
0 0 0
2 1 3
0 2 2
1 0 3
0 0 1
3 0 0
1 3 1
10 5
2 0 2
0 0 1
1 2 0
0 1 1
1 0 2
0 2 2
1 0 0
2 0 0
1 1 2
2 2 2
10 8
1 1 2
1 1 1
3 2 3
3 1 1
1 2 0
1 3 2
2 2 3
3 0 1
0 0 1
2 2 0
10 2
2 3 1
0 2 1
1 3 0
1 3 2
3 1 1
1 1 1
0 2 3
2 1 3
0 3 1
1 2 2
10 7
3 3 1
3 1 0
1 0 3
0 1 0
2 2 3
3 3 3
1 3 1
2 3 1
1 3 3
1 2 2
10 6
0 3 0
3 2 2
3 2 1
2 2 1
0 3 2
3 2 0
3 3 1
3 1 2
1 1 1
2 0 1
10 2
3 2 0
3 2 1
0 1 0
1 1 3
3 1 3
0 1 3
0 2 3
2 2 3
1 0 2
1 3 2
10 4
2 2 2
2 0 1
0 1 2
0 0 2
0 2 2
0 0 1
2 1 2
0 1 1
2 0 0
1 2 2
10 2
0 1 1
2 2 0
0 2 1
1 1 0
2 1 1
0 0 1
0 2 2
2 2 1
1 0 1
1 1 2
10 7
0 2 2
1 0 1
0 1 1
2 1 2
2 2 1
2 1 0
2 0 1
2 2 2
1 1 1
0 2 1
10 2
1 2 2
2 2 2
0 1 1
0 0 0
1 2 0
1 0 0
0 2 0
2 2 0
2 1 1
2 0 0
10 9
2 2 0
0 0 0
1 0 2
1 1 0
0 2 0
2 2 2
2 2 1
2 1 2
1 0 1
0 2 1
10 4
2 2 1
2 0 1
1 1 1
0 1 2
2 1 0
1 0 2
0 1 0
1 2 1
1 0 1
0 0 0
10 9
1 1 1
3 3 1
2 0 0
3 0 1
3 1 1
0 2 2
0 2 0
0 0 1
0 1 2
3 2 1
10 4
0 1 0
2 2 0
2 0 0
0 0 0
0 1 2
1 0 2
0 0 1
1 2 0
1 1 2
1 2 1
10 4
2 1 0
0 0 1
0 2 3
0 1 1
3 0 2
3 0 1
2 1 1
0 2 2
1 0 0
3 3 0
10 3
2 1 2
0 2 0
1 2 1
2 0 1
2 2 1
0 0 1
2 2 2
1 2 0
2 0 0
1 0 2
10 7
2 2 1
2 1 0
1 1 1
0 0 0
2 2 0
2 0 1
0 2 0
1 2 0
0 1 2
0 1 0
10 3
1 2 0
1 1 2
2 2 2
0 0 2
0 0 1
1 1 1
0 1 1
0 2 1
1 0 2
1 0 0
10 5
0 2 0
1 1 1
2 0 1
0 2 2
0 1 0
0 1 1
2 0 0
0 0 0
1 2 0
1 2 2
10 5
2 0 1
1 0 1
1 1 2
0 1 2
2 1 2
2 0 2
1 1 1
0 2 0
1 2 2
2 2 1
10 5
2 0 3
0 2 1
2 0 2
2 2 3
1 3 1
3 0 3
2 2 1
3 3 0
1 2 2
3 1 2
10 7
1 0 0
3 1 1
2 0 2
2 2 1
0 2 1
2 1 3
1 2 3
1 0 1
0 2 0
0 0 2
10 6
2 2 1
0 0 1
0 0 2
2 1 1
1 1 0
2 1 0
2 0 2
0 1 1
1 1 1
1 2 2
10 7
2 2 0
0 1 0
2 3 1
3 3 0
3 1 0
1 0 2
3 0 3
1 2 2
0 1 2
2 1 1
10 8
2 2 3
3 0 1
1 0 1
1 3 0
0 2 3
3 0 0
0 3 1
1 2 3
3 2 1
0 3 0
10 6
1 1 0
0 3 2
0 2 3
2 1 2
2 1 0
2 1 3
0 0 2
3 3 3
0 3 1
3 1 1
10 8
0 2 1
0 1 0
2 2 2
0 3 1
3 2 1
1 2 3
2 3 3
0 0 3
2 0 1
3 1 0
10 8
0 2 2
0 1 0
0 0 1
2 2 0
1 0 0
2 0 0
1 2 1
1 0 2
2 1 0
0 1 1
10 5
3 3 3
3 2 3
2 2 1
1 2 0
2 0 3
1 2 1
0 3 3
3 1 3
1 0 1
2 0 2
10 5
1 1 0
0 1 1
0 0 2
1 2 2
0 2 1
2 1 0
2 0 0
0 2 2
1 2 1
2 2 1
10 8
2 2 2
2 0 3
2 2 0
3 0 2
1 1 1
2 1 1
0 3 3
2 3 2
1 0 3
0 2 0
10 4
3 0 1
3 3 2
0 2 0
2 0 3
3 2 3
1 3 3
2 2 3
0 0 0
1 0 2
2 0 2
10 3
3 0 2
1 3 0
1 0 3
0 0 3
3 1 0
2 1 3
1 1 2
1 1 0
1 1 1
1 0 2
10 8
0 3 1
2 1 3
3 0 2
2 2 2
3 3 1
1 1 3
1 2 3
0 3 3
0 0 3
2 1 1
10 8
1 2 0
0 1 2
1 0 0
1 2 1
2 0 0
1 0 1
2 1 1
0 0 1
0 1 0
1 1 2
10 5
1 2 3
3 1 3
0 2 3
3 0 3
0 2 1
3 0 2
3 0 1
0 3 3
2 3 1
1 1 2
10 9
2 2 0
2 3 3
0 1 0
2 1 3
0 0 2
1 0 1
0 3 2
2 0 2
1 2 1
0 1 2
10 9
2 2 0
0 0 1
0 2 1
0 2 0
1 2 2
0 0 2
2 2 1
1 2 0
0 1 0
1 0 0
10 6
0 2 2
2 2 2
1 0 1
0 0 2
0 1 2
0 1 0
1 0 2
1 1 0
2 1 2
1 2 2
10 7
3 2 3
3 2 2
1 0 2
2 2 3
0 0 0
2 3 2
0 3 1
3 0 3
1 1 3
2 2 2
10 4
3 3 1
3 1 1
3 0 1
2 1 3
2 3 2
3 0 2
0 2 1
3 2 3
3 3 2
1 1 3
10 7
2 1 0
0 2 1
2 0 0
1 1 2
0 1 0
0 2 0
0 1 2
2 2 1
1 2 1
0 0 2
10 7
0 3 3
3 2 0
3 0 1
1 1 3
3 0 3
1 3 3
2 3 1
2 3 2
1 1 1
0 1 1
10 6
1 0 0
3 1 1
0 1 0
2 1 1
1 3 2
3 2 1
0 0 0
3 0 3
0 2 3
1 0 1
10 2
1 2 1
0 2 3
1 0 2
3 3 0
1 3 2
0 3 2
1 3 3
1 1 3
3 1 2
2 0 1
10 7
1 1 0
1 0 1
1 2 0
2 1 2
1 0 0
0 1 0
2 2 1
1 0 2
1 2 1
1 1 2
10 8
2 2 0
0 1 2
1 0 1
2 1 0
2 0 1
0 2 2
2 1 1
0 0 1
1 1 2
1 0 0
10 9
1 2 1
2 2 1
0 1 0
0 0 0
2 0 0
2 1 2
2 1 1
1 1 0
2 1 0
1 0 2
10 7
2 1 2
3 2 3
1 2 3
2 2 3
0 1 0
0 3 1
3 1 1
1 1 2
3 1 2
0 2 1
10 9
3 2 3
1 1 2
1 3 0
3 3 3
2 0 1
3 3 1
0 0 2
1 3 2
2 2 0
1 2 3
10 3
1 1 2
0 0 0
1 1 1
0 0 2
0 2 2
2 1 2
0 1 1
1 0 1
1 2 1
1 0 0
10 3
2 1 1
2 0 1
1 1 1
0 1 1
1 2 2
0 0 1
1 2 1
2 1 0
1 1 2
0 1 2
10 7
3 0 2
0 0 2
2 2 0
2 2 3
1 0 2
2 3 2
3 1 2
0 2 3
3 1 1
1 2 0
10 9
2 2 0
3 0 2
1 1 0
0 0 3
2 1 3
1 1 3
0 0 0
1 0 0
2 1 2
0 2 3
10 9
0 0 1
0 3 1
0 0 2
1 1 0
0 0 0
2 3 2
1 1 3
1 2 0
3 2 0
0 3 2
10 6
3 0 1
2 2 1
2 3 2
2 1 1
1 2 1
2 2 3
3 0 2
0 1 3
3 3 1
1 1 1
10 7
0 0 1
1 0 0
0 0 0
2 0 2
0 0 2
0 2 1
2 1 1
2 2 2
1 1 2
0 1 0
10 5
2 1 0
2 1 1
0 0 0
1 2 2
0 2 2
2 0 0
2 2 1
1 0 0
1 1 2
1 0 2
10 9
2 0 1
3 0 2
3 2 0
0 2 1
1 1 0
2 3 2
0 0 1
3 3 2
2 2 0
3 3 1
10 4
1 1 1
2 0 0
1 2 2
1 0 2
1 2 0
2 1 2
2 0 2
2 2 0
2 2 2
0 0 1
10 5
2 0 2
0 2 0
2 2 1
1 0 0
0 0 0
2 0 0
0 1 1
1 2 2
2 2 0
0 0 2
10 2
2 1 2
0 0 0
0 2 2
2 2 0
1 2 0
2 1 1
0 1 2
2 2 2
2 0 1
2 0 0
10 8
2 1 3
2 3 1
1 2 2
3 0 3
3 2 1
1 3 1
3 0 1
2 2 3
1 2 1
1 3 0
10 8
1 1 0
1 2 0
2 0 2
0 1 0
2 1 1
1 1 2
0 1 2
2 1 0
0 0 0
1 2 1
10 3
2 2 0
2 2 2
0 2 0
1 0 0
1 0 1
2 1 2
1 2 1
0 1 2
0 0 0
1 1 1
10 3
3 3 2
2 2 1
0 0 2
0 1 3
2 0 1
1 1 3
0 1 0
2 3 3
3 2 3
0 0 1
10 2
0 0 1
0 2 0
0 0 3
0 0 0
1 0 3
2 0 1
3 1 3
2 0 0
0 2 2
1 3 0
10 4
0 0 0
1 1 0
2 1 0
1 1 1
2 2 0
1 1 2
1 0 2
1 2 1
2 2 1
0 0 2
10 9
0 1 0
1 2 0
2 0 1
1 1 2
0 2 2
0 0 0
0 0 2
2 2 1
1 2 2
0 2 0
10 9
1 1 3
1 2 1
0 2 0
1 3 3
2 2 3
3 3 2
1 0 3
1 2 3
3 0 1
3 1 2
10 6
0 1 0
0 3 3
2 1 0
2 2 2
2 2 0
3 0 0
1 2 0
3 0 1
2 0 2
0 1 1
10 5
1 0 0
3 0 3
0 2 1
0 2 0
1 3 3
0 3 3
1 2 2
0 0 2
0 3 2
1 2 1
10 3
1 1 1
1 0 1
0 0 1
2 2 0
1 1 2
1 0 0
2 1 0
1 2 2
0 2 1
2 0 1
10 2
2 0 3
0 1 3
3 1 3
2 2 0
2 1 0
3 0 0
1 2 3
0 1 1
1 3 3
0 2 2
10 6
0 3 3
0 1 2
0 3 0
1 3 1
2 1 3
3 2 1
0 2 1
0 0 3
1 2 1
3 1 1
10 6
2 0 0
1 1 0
1 1 1
1 0 1
0 2 1
0 2 2
1 2 2
0 0 1
2 2 0
0 1 2
10 9
2 1 2
3 3 1
1 0 3
2 2 3
0 3 1
0 2 0
1 3 2
1 1 3
1 1 1
0 2 3
10 3
2 0 0
0 2 0
1 0 1
0 0 1
2 2 2
1 2 2
1 1 0
2 1 2
0 1 2
1 2 1
10 5
2 0 1
2 2 2
0 0 2
2 0 2
0 2 1
1 0 0
0 1 2
1 2 2
1 1 0
1 0 2
10 6
1 1 0
2 2 1
1 2 1
2 0 2
1 0 0
0 0 0
2 2 2
0 1 1
0 2 1
1 1 1
10 6
0 0 0
1 1 2
2 2 0
2 1 2
0 0 1
0 1 2
2 1 1
1 2 1
1 0 2
1 1 1
10 6
1 1 0
1 0 2
0 1 0
0 2 0
1 0 1
2 1 1
0 0 0
1 1 2
1 2 2
2 2 1
10 6
2 0 0
0 2 1
0 2 2
0 0 1
1 0 0
0 1 1
2 2 1
2 0 1
1 1 0
0 1 2
10 8
0 0 0
2 0 2
1 2 0
1 0 0
2 2 2
0 2 2
1 2 1
2 0 1
0 2 1
1 1 0
10 3
0 0 0
1 0 0
2 2 1
1 0 1
1 1 0
2 2 0
1 2 2
0 0 2
0 2 2
2 0 1
10 8
2 0 3
1 2 2
2 1 3
1 3 1
3 3 1
0 0 3
0 0 0
2 2 0
0 0 1
3 2 1
10 8
1 0 1
2 1 1
0 1 0
0 0 0
1 2 0
1 1 1
0 0 2
1 0 2
1 2 2
0 1 2
10 7
2 0 0
1 1 3
1 0 3
2 3 1
2 2 2
0 1 0
0 3 0
0 2 2
1 3 3
3 1 0
10 4
0 0 0
1 2 2
0 1 2
2 2 2
1 1 1
2 0 2
0 0 2
2 2 1
2 1 2
2 1 1
10 9
1 2 2
1 1 0
1 2 1
2 2 0
1 1 2
1 0 2
2 0 0
1 0 1
0 0 2
1 1 1
10 8
2 0 0
2 2 1
1 1 1
2 0 1
0 3 2
1 3 3
3 1 0
1 2 0
0 3 0
1 0 0
10 9
1 1 2
1 3 0
0 0 0
2 2 1
2 3 0
0 3 1
2 1 0
3 3 1
2 3 3
1 2 3
10 5
3 0 1
2 2 0
1 2 3
2 0 1
0 0 2
1 3 1
3 2 1
2 0 2
3 3 0
1 3 0
10 4
2 1 1
0 1 1
2 2 1
0 1 2
2 0 2
1 2 2
0 0 1
2 2 2
2 0 0
2 2 0
10 8
3 1 1
0 0 2
3 1 3
3 2 1
1 2 0
1 2 2
2 0 1
2 1 2
3 0 2
2 3 2
10 3
2 1 3
3 0 1
3 1 3
2 0 0
2 1 1
3 3 2
3 1 2
3 0 2
3 1 0
2 2 3
10 7
0 1 1
2 1 0
1 0 3
2 0 0
2 3 2
1 2 1
1 0 1
1 1 0
1 1 1
0 2 1
10 5
1 3 1
3 2 1
2 1 0
1 3 0
2 2 0
3 0 1
1 1 1
0 1 1
3 1 1
0 3 0
10 3
1 0 2
1 2 2
2 1 2
1 0 0
1 2 0
2 1 0
1 2 1
1 1 1
2 2 0
2 0 0
10 5
3 1 0
1 2 3
3 0 3
1 2 2
2 3 1
1 2 0
2 2 3
2 3 3
0 3 2
0 2 3
10 5
1 3 0
3 3 1
1 2 3
3 2 1
1 1 3
0 0 2
1 1 0
3 2 2
3 1 2
2 3 1
10 9
0 0 0
2 1 0
0 0 2
1 1 1
2 0 0
2 0 1
0 2 1
1 0 2
2 1 2
2 2 1
10 9
0 1 2
2 0 2
1 2 1
0 2 2
0 2 1
2 2 1
1 2 2
1 2 0
2 2 2
2 1 1
10 4
2 0 2
1 2 2
1 1 1
0 1 0
1 2 1
1 1 2
1 0 1
0 2 0
1 2 0
0 2 2
10 5
1 0 2
1 2 1
0 0 2
2 0 1
2 1 2
0 1 2
2 0 0
1 2 0
0 2 2
1 0 0
10 2
0 2 1
2 2 0
0 1 2
2 1 2
0 2 0
2 1 0
2 2 2
1 1 2
1 1 1
2 1 1
10 9
1 2 1
1 1 2
1 0 1
1 2 0
0 2 0
2 2 1
2 2 0
2 0 0
2 2 2
0 2 1
10 6
3 2 3
3 0 1
0 3 2
2 2 2
1 2 0
1 2 1
3 2 1
0 1 3
0 3 0
3 0 2
10 5
0 1 0
1 0 1
2 2 3
3 0 2
3 2 1
1 1 1
1 2 3
0 2 3
1 0 3
0 3 0
10 2
1 3 1
0 0 3
3 1 2
3 0 3
2 3 2
0 1 0
2 2 2
3 2 1
0 2 2
3 0 2
10 4
0 1 3
0 0 3
0 3 2
1 0 0
1 3 0
2 0 0
2 2 0
3 3 2
3 1 3
2 2 1
10 6
2 3 0
3 1 1
1 1 0
2 3 2
0 2 3
0 1 2
2 2 1
0 3 1
0 2 1
0 0 3
10 5
3 1 1
1 0 1
2 0 0
3 3 3
3 2 1
0 3 1
3 3 0
2 2 0
3 3 1
3 0 2
10 3
0 0 1
1 2 2
1 0 2
1 0 0
1 1 2
2 3 3
2 1 1
1 2 3
1 0 3
3 3 1
10 4
1 1 3
3 1 2
3 2 0
2 1 1
2 0 3
1 0 1
1 2 2
1 1 0
3 0 2
0 3 1
10 9
1 3 1
3 2 3
1 3 3
0 0 2
3 0 1
2 1 1
3 2 1
0 3 3
2 3 1
2 3 3
10 7
1 0 0
1 2 1
0 1 1
1 0 2
0 1 0
2 1 1
2 2 2
2 1 0
0 0 0
1 1 1
10 5
2 1 2
2 1 1
1 1 1
0 0 0
2 1 0
0 2 0
2 0 2
0 1 1
2 2 2
1 1 2
10 7
0 0 1
1 0 0
2 2 1
0 2 0
2 2 2
1 1 1
2 2 0
1 2 2
1 1 2
0 2 2
10 8
1 3 2
3 3 1
1 2 1
0 0 1
0 2 2
2 1 3
1 1 1
2 0 3
3 1 1
0 3 2
10 7
0 3 3
0 0 0
2 0 0
2 0 2
3 3 0
2 1 0
0 2 3
3 2 3
2 2 1
2 3 2
10 2
2 3 2
3 3 3
1 0 1
1 3 0
1 0 3
2 2 1
1 0 2
1 3 3
3 0 1
0 0 1
10 9
1 1 1
0 1 0
2 1 1
0 0 2
2 1 2
1 0 1
2 0 0
0 0 1
2 0 1
2 1 0
10 8
1 2 1
1 1 0
2 0 1
1 0 2
0 2 2
2 0 0
2 2 1
1 2 2
2 2 2
0 0 2
10 3
0 1 2
2 2 2
0 2 1
2 1 1
2 0 2
0 0 0
0 2 0
0 2 2
0 1 0
1 0 1
10 4
3 2 2
3 2 0
0 2 1
0 0 0
1 2 3
3 3 2
0 1 2
1 0 0
3 1 1
1 1 0
10 5
3 1 3
1 1 2
1 2 2
1 2 1
0 3 0
2 3 2
2 2 1
3 2 2
0 0 1
1 3 2
10 8
1 0 2
2 0 0
0 1 2
1 2 1
1 1 1
1 2 2
0 2 0
0 1 0
2 1 1
0 2 1
10 9
0 2 0
3 0 0
3 0 1
3 1 1
3 1 0
1 0 0
3 2 3
2 1 1
3 3 2
0 0 1
10 9
2 0 0
0 1 0
2 2 0
1 2 2
0 0 0
0 2 2
1 1 2
2 1 0
0 2 1
0 2 0
10 3
2 1 1
0 2 2
1 1 1
1 1 0
2 0 2
0 0 1
3 2 3
3 3 0
0 1 2
1 1 2
10 8
2 2 2
0 0 0
1 1 2
2 1 0
1 2 1
1 1 1
2 0 2
2 0 0
0 1 2
1 1 0
10 7
0 0 2
0 1 2
2 1 0
2 0 1
3 0 3
2 0 0
1 0 3
1 2 1
0 2 3
3 2 3
10 5
0 0 1
0 2 0
0 1 2
1 1 1
1 1 0
1 0 0
2 0 0
2 1 2
0 1 1
0 0 0
10 2
2 0 2
0 2 0
2 0 1
0 0 1
1 2 0
0 0 0
0 1 1
1 1 0
0 0 2
2 2 0
10 5
2 0 0
2 1 2
1 2 0
1 1 2
2 2 0
0 2 2
0 2 0
1 2 1
0 1 2
2 0 1
10 9
1 1 0
2 2 1
1 2 0
1 0 2
0 0 1
2 1 2
2 0 0
0 2 1
2 0 2
1 0 0
10 3
0 0 0
2 2 1
1 1 1
0 0 1
1 1 2
0 2 2
0 1 1
0 1 2
2 2 0
2 0 0
10 7
0 1 2
0 2 1
2 1 0
2 2 2
1 0 1
2 2 1
1 2 0
0 2 0
2 1 2
1 0 2
10 2
0 2 3
0 3 3
0 3 0
3 0 3
1 1 3
3 1 1
0 1 2
0 3 1
1 1 1
2 3 0
10 5
0 1 1
2 2 0
1 0 0
1 1 0
0 2 0
1 0 2
2 0 2
0 0 0
2 0 1
0 2 2
10 8
0 0 0
1 2 1
0 0 2
0 2 2
1 0 2
0 2 1
2 0 0
2 1 0
2 2 2
2 2 1
10 2
1 0 2
1 1 2
0 2 2
2 2 2
0 2 0
2 1 2
1 2 2
2 2 1
2 0 0
0 1 0
10 2
0 2 1
2 3 1
2 2 2
2 3 0
3 3 0
1 3 1
2 2 0
3 1 3
1 3 2
2 3 3
10 6
2 0 3
3 0 2
0 2 2
3 1 1
0 2 0
2 0 0
3 0 3
2 3 3
0 2 3
0 2 1
10 8
2 1 1
0 1 2
2 1 2
1 0 1
0 2 0
0 1 0
0 1 1
1 2 0
1 0 0
0 0 2
10 8
3 2 3
1 2 2
0 2 1
3 2 2
2 2 3
0 0 3
3 3 3
1 1 2
0 1 2
0 3 1
10 7
3 3 0
2 3 0
1 1 0
2 3 2
0 3 2
3 2 1
2 1 2
2 0 0
3 2 0
0 0 0
10 9
2 1 2
1 0 0
0 2 2
0 2 0
2 0 0
0 2 1
2 0 1
1 1 2
2 1 0
0 1 2
10 6
3 1 1
3 1 2
2 2 3
2 3 2
1 3 2
0 1 2
3 1 0
0 3 2
0 2 0
1 0 0
10 9
3 1 2
2 0 2
1 1 0
0 1 1
3 3 3
1 0 2
0 3 3
2 3 2
0 1 3
1 2 2
10 3
2 0 1
1 2 1
2 0 2
0 1 1
0 2 1
2 2 0
0 2 2
0 1 0
0 2 0
1 0 1
10 8
0 3 0
2 2 2
3 3 1
1 2 1
2 1 0
1 0 0
1 0 1
1 0 2
1 3 1
0 1 3
10 3
1 1 0
2 1 0
1 2 2
2 0 0
2 0 1
0 1 0
1 0 2
1 2 1
1 0 0
2 2 1
10 4
1 3 0
1 2 1
2 2 0
3 1 1
0 3 1
0 0 0
0 1 1
0 0 2
1 1 0
1 3 2
10 8
1 0 1
1 2 2
2 0 1
2 2 1
1 0 2
0 0 2
2 2 2
0 2 2
0 2 0
0 0 0
10 8
1 1 1
1 0 0
2 2 1
2 0 1
0 2 1
2 2 0
0 1 2
0 0 2
1 2 1
0 2 2
10 9
3 1 0
3 1 2
2 1 2
3 1 3
3 2 1
1 2 3
2 0 1
1 0 0
1 2 1
2 0 3
10 9
0 1 3
1 3 3
3 0 1
2 2 3
2 0 0
1 0 2
3 2 2
3 3 2
2 0 2
0 0 2
10 5
0 3 3
1 3 3
0 1 0
2 2 1
3 0 2
0 2 3
2 3 1
3 3 0
3 3 3
0 1 1
10 5
1 1 2
1 0 3
1 3 0
1 2 2
3 3 3
1 1 3
1 0 1
1 0 2
3 0 0
3 3 2
10 5
1 2 0
0 2 1
2 0 1
0 0 2
2 2 2
2 2 1
0 1 2
1 1 0
0 1 0
1 1 2
10 2
0 2 2
1 1 1
2 2 0
1 1 0
2 1 2
1 0 1
2 0 1
1 0 2
1 1 2
0 0 1
10 5
1 0 2
0 1 2
2 1 1
2 1 0
2 0 1
1 1 1
0 0 1
0 1 1
0 1 0
1 2 0
10 2
2 1 2
1 2 2
0 2 3
3 2 3
3 3 1
2 2 0
3 2 1
2 0 0
3 0 2
2 2 1
10 8
2 2 1
0 2 1
0 1 2
0 2 2
1 1 1
1 0 0
1 2 2
2 2 0
2 0 1
1 0 1
10 4
2 0 0
2 2 1
2 2 0
2 1 0
1 0 0
0 0 2
1 2 0
1 1 0
2 1 2
2 2 2
10 9
1 0 2
2 0 1
2 0 2
1 1 1
0 0 1
0 0 2
0 2 0
0 0 0
1 2 2
1 1 2
10 3
0 0 2
0 2 1
1 2 2
1 1 2
1 2 1
0 0 1
0 0 0
1 0 2
2 0 1
1 2 0
10 3
0 0 2
1 0 1
3 1 2
1 2 0
2 3 3
3 2 2
1 0 3
1 2 1
3 0 3
3 3 2
10 3
2 1 1
1 1 1
0 1 2
0 2 2
2 1 2
0 0 0
0 1 0
1 0 1
1 0 0
2 2 2
10 5
1 2 1
2 2 3
3 1 2
3 3 1
3 3 2
1 0 0
2 3 1
0 2 1
2 1 1
2 2 1
10 8
1 1 2
2 2 1
1 0 0
2 0 1
0 1 0
0 2 0
0 0 0
1 1 1
0 0 2
2 1 1
10 7
1 0 2
0 0 2
2 1 2
1 0 0
1 1 2
1 0 1
2 0 0
1 1 0
0 2 1
1 1 1
10 4
2 2 0
1 0 2
1 2 1
2 1 1
1 0 0
2 2 2
2 1 0
1 1 0
2 2 1
1 1 2
10 2
3 3 0
1 1 1
1 0 2
3 3 2
3 2 2
1 1 2
1 3 2
1 2 0
1 3 0
0 1 0
10 8
1 0 0
3 0 3
0 0 0
2 2 0
2 2 2
0 3 3
0 1 2
3 2 3
0 0 3
0 2 0
10 3
3 1 0
1 1 2
2 2 2
2 2 3
1 3 2
3 0 2
2 2 0
3 1 3
3 2 1
1 1 3
10 7
3 1 1
2 3 3
3 2 0
3 1 2
2 3 0
0 1 3
2 1 0
0 2 2
2 1 2
0 3 0
10 7
2 0 0
1 2 1
1 0 1
0 1 1
0 0 2
0 0 1
1 2 2
0 2 1
2 2 0
2 0 1
10 9
0 2 2
2 1 1
1 1 0
2 2 2
2 1 0
1 0 2
0 1 2
2 1 2
0 1 0
1 1 2
10 5
0 2 2
0 1 2
3 2 0
3 1 3
0 3 1
1 0 0
1 3 3
3 2 1
2 1 2
2 2 3
10 2
1 1 0
0 1 2
0 0 1
1 1 1
1 0 2
2 1 2
2 0 1
0 2 2
1 0 0
1 0 1
10 8
0 1 2
0 0 2
0 1 0
0 2 1
2 0 1
2 1 0
2 2 0
1 2 2
1 0 1
2 2 2
10 6
2 1 0
3 1 1
2 0 1
0 0 0
2 2 1
3 2 1
3 1 0
1 0 3
0 3 1
2 3 2
10 4
0 1 0
2 0 1
1 0 0
1 2 0
1 0 2
0 0 2
2 1 2
0 2 1
0 2 0
0 0 1
10 2
0 2 2
2 1 2
2 2 1
1 2 1
0 1 1
0 0 1
2 0 0
1 0 2
2 1 1
2 1 0
10 5
3 2 2
0 0 0
3 1 3
3 0 2
1 1 0
0 2 2
1 3 3
2 0 3
2 0 0
2 3 1
10 5
3 3 2
0 2 1
1 1 0
1 1 3
1 3 0
3 3 0
2 1 3
1 1 2
1 0 0
2 1 1
10 8
1 0 1
2 2 1
0 1 1
1 0 2
2 2 2
1 1 2
0 0 0
0 2 1
2 0 2
2 1 2
10 2
0 1 3
1 0 0
3 0 1
1 1 1
0 3 2
2 1 3
2 0 1
2 3 0
3 0 3
2 1 0
10 7
2 1 1
0 2 0
0 1 1
1 2 2
1 1 2
2 2 0
0 2 2
1 0 1
1 0 0
1 1 1
10 3
3 2 1
3 1 0
2 0 3
2 1 0
0 1 3
1 3 1
0 2 2
3 3 0
0 3 3
1 2 0
10 5
0 1 1
1 2 0
1 2 2
1 0 0
0 1 0
2 0 0
0 0 0
0 2 1
2 0 1
0 0 1
10 6
2 2 1
0 2 0
2 1 2
0 0 1
0 2 1
0 0 0
2 0 1
2 1 0
0 1 0
0 1 2
10 2
1 2 1
0 0 2
0 1 1
0 2 2
1 0 2
1 0 1
2 0 1
2 2 0
1 1 2
0 1 2
10 4
2 2 3
1 0 2
1 3 0
0 0 3
2 0 0
2 3 1
3 2 1
2 2 2
3 1 1
1 1 0
10 4
0 3 2
0 3 0
3 0 3
1 0 0
1 1 1
2 1 2
3 3 0
2 2 3
3 3 2
3 0 2
10 6
2 2 0
2 2 1
2 3 1
1 0 0
1 1 2
1 0 3
3 1 2
3 1 0
3 0 2
3 0 3
10 4
2 1 0
1 1 2
2 0 0
2 0 2
2 1 1
1 2 2
0 0 1
1 2 1
0 0 2
1 0 2
10 4
2 1 1
1 2 0
0 0 0
1 2 2
0 0 2
2 0 1
2 2 2
0 1 2
1 0 0
1 0 1
10 7
0 0 2
2 1 0
2 2 2
1 0 2
0 0 1
2 1 1
0 1 1
1 1 2
0 2 0
1 2 0
10 5
0 2 2
1 2 2
2 0 2
1 0 0
1 1 1
1 1 2
1 0 1
2 2 1
1 1 0
0 2 1
10 3
3 3 3
2 0 0
2 3 0
3 0 1
2 0 3
1 1 3
0 2 1
3 3 0
2 0 1
3 1 1
10 2
1 1 3
3 0 1
1 3 0
3 1 1
0 3 1
3 0 3
3 2 2
2 3 1
0 0 1
2 1 1
10 9
2 0 2
3 2 3
3 0 1
3 0 3
3 2 2
0 0 3
0 0 2
2 1 0
3 3 3
0 2 2
10 2
2 0 0
1 0 0
0 1 2
0 0 0
0 2 2
0 2 1
2 1 1
1 2 2
0 0 1
0 1 0
10 9
0 2 2
0 0 0
0 2 3
0 2 0
1 3 2
3 0 1
3 3 3
1 2 0
2 3 0
2 0 1
10 5
1 1 1
0 2 1
1 1 2
2 2 0
1 2 2
1 1 0
2 1 2
1 2 0
1 2 1
1 0 0
10 8
3 1 2
3 2 0
0 1 2
2 1 0
2 1 2
0 1 1
0 2 3
1 1 3
2 3 1
2 3 2
10 3
0 3 1
3 3 1
3 2 2
2 0 0
2 2 1
0 0 1
0 0 3
1 2 3
0 2 3
0 0 2
10 5
0 1 2
0 0 1
0 1 1
2 1 2
2 1 0
2 0 0
2 2 2
1 0 1
0 2 0
0 2 2
10 8
2 3 0
1 1 3
0 3 3
2 1 1
1 3 3
2 1 3
3 0 0
0 3 0
1 1 0
3 3 3
10 7
2 3 3
3 2 0
0 3 2
2 2 2
0 0 0
1 0 3
1 2 2
1 3 2
0 0 2
0 3 3
10 3
0 0 2
1 0 0
0 2 1
1 0 2
2 0 0
2 1 1
2 1 2
2 2 1
2 1 0
2 0 1
10 5
0 1 2
2 0 2
2 0 1
0 2 1
0 0 1
1 2 1
0 0 2
2 0 0
0 0 0
0 1 0
10 9
1 0 0
1 0 2
1 2 1
2 1 0
1 1 2
1 0 1
0 3 1
0 0 2
1 2 0
0 2 3
10 9
1 1 1
2 2 0
0 2 1
0 1 0
2 1 2
1 2 0
2 0 0
2 2 1
1 0 1
1 0 0
10 4
2 2 2
0 0 1
1 1 0
2 0 2
0 0 0
2 2 0
1 2 1
0 2 2
2 0 1
0 2 0
10 3
0 0 2
0 1 0
3 0 1
1 3 2
3 0 2
3 1 3
1 0 3
2 1 1
1 3 0
2 0 1
10 8
1 3 0
2 0 1
3 1 3
2 1 2
1 1 0
2 3 0
2 1 1
2 1 3
1 0 0
1 2 3
10 5
1 2 1
0 1 0
0 2 0
1 0 2
0 2 2
0 2 1
1 1 0
2 0 2
2 0 1
1 2 0
10 8
3 2 3
0 3 3
3 1 2
0 1 2
0 0 0
2 2 1
2 2 2
3 2 2
0 3 0
2 1 2
10 9
0 2 2
0 1 0
0 0 2
0 0 1
1 2 0
2 2 2
0 2 1
1 1 1
2 1 0
0 0 0
10 6
2 0 1
0 3 0
2 1 1
2 3 1
0 1 3
2 1 0
1 0 3
1 1 0
3 2 0
3 3 1
10 6
1 3 3
0 1 3
1 2 0
2 2 3
0 0 1
2 2 2
3 0 3
3 1 1
0 1 1
1 1 1
10 2
2 1 2
3 2 1
2 2 3
0 0 1
1 0 0
0 3 1
0 0 3
2 1 3
3 1 3
2 3 2
10 5
2 2 0
1 0 0
2 2 1
0 0 2
1 1 0
2 0 1
0 2 0
1 0 1
2 0 0
2 0 2
10 9
1 1 0
1 0 2
1 0 0
0 0 2
0 1 1
1 1 2
2 2 0
0 2 1
2 1 0
1 2 0
10 5
0 2 1
2 0 1
2 0 2
0 1 1
2 1 0
0 0 0
1 0 0
0 2 2
0 1 0
0 0 2
10 7
2 2 1
2 2 2
0 0 0
0 2 2
1 0 1
0 0 1
2 2 0
2 0 0
0 2 0
2 1 1
10 9
0 2 0
1 2 2
1 1 2
1 2 0
0 1 2
1 1 0
1 2 1
1 0 1
0 2 1
2 1 0
10 2
0 3 1
2 1 0
1 2 0
3 3 1
0 2 2
1 1 0
1 0 0
2 0 2
0 3 3
0 3 2
10 3
1 0 3
0 2 3
2 2 0
2 3 3
1 0 2
2 1 3
0 1 3
3 3 2
3 0 3
0 2 1
10 9
0 2 2
1 2 0
0 1 2
0 1 1
2 2 1
0 0 1
1 1 2
2 1 1
1 0 1
0 0 0
10 6
0 0 1
1 2 0
1 2 2
1 1 2
0 2 0
2 2 0
1 1 0
1 0 0
0 2 1
0 0 2
10 9
2 1 0
0 0 1
0 0 2
2 0 2
2 1 1
2 2 2
2 2 0
2 0 1
1 0 0
0 1 2
10 4
0 2 2
0 2 0
1 0 1
1 2 2
1 1 2
2 1 0
0 1 2
2 1 2
1 2 1
0 0 2
10 7
2 1 2
2 0 1
0 0 2
0 1 1
1 1 1
1 1 2
2 1 1
0 2 1
2 2 1
2 0 0
10 4
1 0 0
0 2 2
2 1 2
2 0 1
2 2 1
0 1 0
1 2 0
0 0 1
2 1 0
0 0 2
10 2
1 0 3
0 3 2
1 0 2
2 1 0
2 1 3
1 3 3
3 2 1
3 0 1
1 2 0
2 0 0
10 8
2 1 1
0 1 2
1 1 2
2 1 2
0 1 0
0 0 0
0 0 2
0 2 2
1 0 1
1 2 1
10 6
1 1 2
1 1 1
1 2 1
2 2 0
0 0 1
2 1 1
0 1 1
2 0 1
0 0 2
0 2 1
10 7
3 1 1
1 3 0
3 1 0
0 3 3
1 1 0
2 2 3
2 3 2
0 3 1
2 3 1
2 1 3
10 7
0 2 2
3 1 2
2 2 2
1 0 3
0 0 2
2 2 3
2 0 0
0 0 1
1 0 1
3 3 1
10 2
2 1 1
1 2 2
2 1 3
3 1 3
1 3 0
3 1 1
1 0 2
0 2 0
1 1 2
2 0 3
10 8
2 3 0
0 1 0
2 2 2
3 1 0
2 3 3
2 1 0
3 3 1
2 2 1
3 2 3
0 0 2
10 8
2 2 3
0 0 1
0 1 3
0 0 3
3 2 2
1 3 3
1 2 0
1 2 3
0 1 1
1 3 1
10 9
1 1 0
1 0 1
3 3 3
3 1 1
2 1 2
2 0 3
0 3 0
3 3 2
2 2 1
3 3 1
10 3
1 0 3
2 2 1
1 2 0
0 1 1
2 1 1
2 1 2
0 0 0
3 2 1
1 0 1
3 3 3
10 3
0 2 2
0 1 0
0 1 2
1 1 0
1 2 2
1 2 0
0 0 1
2 0 1
1 2 1
2 0 0
10 9
1 0 1
1 0 0
0 2 2
1 1 1
2 1 2
1 1 0
2 1 1
0 1 0
2 0 0
1 2 0
10 9
1 3 3
0 1 1
0 1 0
2 1 0
2 1 2
1 0 2
2 0 2
2 3 0
0 2 3
2 3 1
10 4
0 2 1
1 2 0
0 0 2
2 2 2
0 2 2
2 1 0
0 0 1
0 1 2
1 1 0
0 2 0
10 5
0 3 3
1 1 1
3 3 0
1 2 0
3 2 3
0 2 0
2 1 1
0 1 0
2 0 1
2 3 3
10 9
0 2 0
1 1 0
0 0 3
3 0 2
2 0 1
0 2 1
2 0 3
1 3 2
1 0 0
3 1 2
10 5
0 3 3
3 1 2
1 1 0
1 3 2
3 3 3
0 0 0
3 0 0
0 3 0
3 2 0
1 0 1
10 8
3 2 1
3 3 3
2 2 1
3 3 0
3 0 1
1 1 2
0 3 1
0 1 3
2 0 2
0 0 2
10 8
2 1 1
2 1 0
0 1 2
1 1 0
0 2 1
0 1 1
2 2 0
2 2 2
2 2 1
1 0 0
10 2
1 0 3
2 2 3
3 1 3
0 0 3
2 2 1
2 3 0
3 1 1
2 0 3
0 1 3
0 0 0
10 4
2 2 2
0 1 0
2 1 0
2 3 1
3 1 3
0 3 0
2 2 0
2 3 2
3 0 0
1 1 0
10 7
3 1 3
2 2 0
1 3 3
2 3 1
1 0 3
2 3 0
0 1 1
1 1 3
1 2 3
2 2 3
10 8
2 0 2
1 0 2
1 2 2
1 0 1
1 0 0
0 1 1
2 0 0
0 0 0
2 2 1
0 1 2
10 3
3 0 0
3 3 1
2 3 0
2 2 3
3 2 3
1 3 2
0 0 0
0 2 2
1 0 1
0 3 1
10 4
3 1 2
1 3 2
2 2 1
1 0 0
3 0 0
0 2 0
1 2 0
0 0 1
2 3 0
3 2 1
10 6
0 3 1
0 2 0
2 3 0
3 3 3
1 1 3
3 1 0
1 0 2
2 2 1
3 2 2
0 3 2
10 6
2 2 1
2 2 0
0 0 0
0 1 2
1 2 0
1 2 2
2 2 2
1 0 0
1 1 2
1 2 1
10 2
1 2 1
2 2 2
2 0 0
0 1 0
1 2 0
0 2 1
1 2 2
1 0 1
1 0 2
0 0 2
10 9
2 1 1
1 1 0
0 1 1
2 0 1
1 2 0
1 1 1
1 0 0
0 0 0
1 0 2
0 2 2
10 5
1 1 2
0 0 2
0 1 0
1 2 2
2 1 2
2 2 2
1 0 0
2 1 1
1 1 0
0 2 2
10 2
0 1 0
2 1 2
0 2 3
3 1 3
0 3 3
2 2 2
3 3 1
0 2 0
0 0 1
3 2 1
10 4
0 1 0
1 1 0
2 1 2
2 1 0
2 2 0
0 1 2
1 0 1
1 0 0
1 2 0
2 1 1
10 7
2 2 1
2 1 0
2 0 2
2 2 2
1 1 0
2 0 1
2 0 0
0 2 2
1 1 2
1 0 2
10 4
1 2 2
1 1 2
0 0 0
0 1 2
0 2 2
2 0 0
1 0 0
2 1 2
2 1 0
2 0 1
10 4
2 1 3
1 3 2
0 2 1
3 0 3
0 0 0
0 0 3
2 2 0
1 3 1
0 2 3
3 3 0
10 2
1 2 0
2 1 2
1 0 2
2 2 1
0 1 1
1 1 1
2 0 0
2 2 2
2 2 0
2 1 0
10 2
0 2 2
3 1 3
0 3 2
3 0 3
3 0 0
2 3 3
2 1 3
2 2 3
0 3 3
2 0 3
10 3
2 2 1
2 2 0
0 2 1
2 1 1
0 2 0
1 2 1
2 0 2
1 1 1
0 0 2
0 0 0
10 8
2 1 0
2 0 0
1 0 1
3 1 1
3 1 3
1 0 3
0 2 1
1 3 3
0 0 2
0 1 3
10 5
1 2 1
2 2 0
1 2 3
3 0 1
0 1 2
0 3 2
0 2 0
3 3 0
1 0 0
1 2 2
10 4
1 3 2
3 2 3
2 0 3
3 3 1
1 1 1
0 1 3
2 3 1
1 2 1
2 0 1
2 1 2
10 5
2 2 0
2 0 2
0 1 2
2 1 1
0 2 0
0 1 1
2 0 0
0 1 0
0 2 2
0 2 1
10 9
1 2 0
2 0 2
2 1 1
1 0 2
0 2 1
1 1 2
1 0 1
0 2 2
0 0 1
2 1 0
10 7
0 1 1
2 1 2
0 0 1
1 2 2
0 2 0
2 0 0
0 1 0
1 0 2
2 2 2
0 0 0
10 6
2 3 1
2 0 2
0 1 3
3 3 3
1 2 1
0 0 1
1 1 3
1 3 3
0 1 2
0 2 2
10 5
1 1 2
2 0 2
2 1 2
0 1 2
1 1 1
2 1 1
1 2 1
0 0 2
0 1 1
0 2 0
10 8
2 1 1
3 1 1
3 0 1
0 0 0
0 0 3
1 0 2
2 2 0
3 1 3
2 2 1
1 2 2
10 8
1 0 1
2 0 1
1 2 1
2 1 0
1 2 2
0 2 1
2 0 0
0 0 1
2 0 2
1 1 1
10 4
2 1 0
2 2 2
0 1 2
1 1 1
1 0 1
1 1 0
2 1 1
0 1 1
0 2 0
0 2 2
10 4
2 0 0
2 2 0
2 0 3
3 0 1
0 0 1
2 0 2
3 2 0
0 0 3
0 1 3
1 1 1
10 9
1 3 3
1 0 3
0 1 2
1 3 1
1 1 0
0 3 1
3 1 2
1 3 2
3 1 1
0 2 0
10 7
2 1 2
1 0 1
1 2 1
2 0 2
1 0 0
1 1 1
2 0 0
1 2 0
1 2 2
0 0 1
10 5
0 1 2
2 1 1
0 0 1
1 0 2
0 2 0
1 1 0
2 0 2
2 2 1
0 0 2
2 1 2
10 7
0 2 0
1 3 1
0 3 2
0 2 3
3 3 2
3 3 1
0 3 0
3 0 2
2 1 0
1 0 1
10 5
1 0 1
1 0 3
0 2 3
1 1 3
0 2 2
1 2 0
3 3 0
3 0 1
2 1 0
2 3 2
10 6
1 0 1
3 3 2
1 2 3
0 3 2
0 2 3
2 3 3
2 3 0
3 1 0
2 3 2
0 0 0
10 7
3 1 2
1 2 2
2 0 2
0 3 0
3 0 1
1 3 1
1 3 0
1 1 0
1 2 3
2 2 1
10 8
0 1 0
2 0 0
0 1 1
1 1 1
1 1 2
1 1 0
0 0 1
2 2 0
2 1 1
1 0 0
10 9
1 0 2
0 1 1
2 0 2
1 2 1
0 2 0
1 0 0
0 1 0
1 1 2
2 1 1
0 1 2
10 4
1 0 1
0 1 1
1 2 2
2 1 2
1 1 0
2 0 0
0 0 1
0 0 0
1 2 0
0 2 0
10 4
0 1 1
3 0 0
0 3 0
2 0 1
0 0 3
2 1 1
1 1 1
3 2 1
1 2 2
1 2 1
10 6
0 0 0
2 1 1
1 1 0
0 2 1
1 1 1
0 0 1
2 2 0
1 0 1
1 1 2
1 2 1
10 4
3 0 2
3 0 1
2 0 3
2 0 2
2 3 2
2 1 3
2 0 0
3 3 1
2 2 1
2 1 0
10 8
1 3 0
3 2 0
2 0 2
0 2 1
2 0 0
1 2 1
1 0 0
0 0 2
3 3 2
1 0 1
10 8
1 1 2
1 1 0
0 0 2
1 0 1
0 1 0
2 0 0
0 0 0
2 2 0
2 1 2
1 2 2
10 8
0 1 0
2 1 1
1 1 0
0 1 2
1 2 2
1 2 0
0 0 0
2 2 2
2 1 0
2 0 2
10 9
2 2 0
0 0 2
2 1 0
0 2 0
1 2 0
0 0 0
1 2 2
0 1 1
1 0 1
1 1 1
10 2
0 2 1
2 0 1
0 0 0
2 2 2
0 0 2
1 1 0
0 1 0
2 1 0
1 0 2
2 2 0
10 7
0 2 0
2 0 0
0 1 2
1 1 0
1 2 1
0 1 0
0 0 1
0 2 2
1 0 2
2 2 2
10 9
2 3 0
0 3 1
3 2 0
0 2 0
1 3 3
1 0 3
3 2 3
1 1 3
2 1 2
3 0 1
10 7
2 1 1
2 0 0
2 1 2
1 2 0
1 1 0
0 1 2
1 1 2
0 2 1
2 0 2
2 2 2
10 3
2 3 3
0 3 1
1 1 0
2 2 1
3 1 0
0 2 1
3 2 0
3 0 0
0 0 2
3 2 2
10 4
0 2 3
0 3 1
0 3 0
0 1 0
0 2 0
3 1 1
3 1 3
2 2 0
1 1 1
2 0 0
10 5
2 1 2
2 0 2
1 1 2
0 2 0
0 1 2
1 0 1
2 2 1
1 0 2
2 2 2
1 2 0
10 7
2 1 1
0 2 2
1 0 0
1 2 1
2 2 2
0 0 0
1 1 0
1 2 0
0 1 1
2 0 2
10 7
3 1 1
0 2 3
0 2 0
3 3 2
2 3 3
2 1 2
1 1 3
0 3 0
2 2 2
1 2 3
10 8
2 2 1
2 3 3
3 2 0
0 2 3
0 3 3
0 3 0
3 3 2
2 1 0
2 1 3
1 3 2
10 6
1 2 0
0 1 2
2 2 2
1 0 0
0 2 0
0 2 1
2 0 1
1 2 1
0 0 1
2 2 0
10 9
2 0 0
2 0 1
1 2 1
1 0 2
2 2 0
0 2 1
1 1 2
0 2 2
1 1 0
0 2 0
10 4
1 1 1
0 2 1
2 0 0
0 0 0
1 1 0
0 0 1
0 1 2
2 1 2
0 1 0
2 0 2
10 9
0 1 3
0 0 2
2 1 3
1 2 2
3 1 0
2 0 0
3 1 2
0 0 0
1 1 1
1 0 2
10 8
3 0 2
0 1 3
2 3 2
2 3 0
1 1 3
1 0 2
0 2 3
0 2 2
3 1 2
1 1 1
10 8
0 1 3
1 3 2
3 0 3
0 3 3
0 2 3
3 1 2
2 3 2
3 2 2
0 3 1
2 2 1
10 9
0 1 0
1 0 1
1 2 2
2 2 0
0 0 1
2 0 0
1 1 0
2 2 1
0 0 2
0 2 2
10 5
2 3 1
0 0 3
1 3 0
3 1 2
0 1 3
3 3 2
0 3 0
1 1 0
2 0 2
0 0 0
10 2
3 3 1
2 2 3
3 3 0
2 0 0
1 0 1
0 0 1
3 3 2
0 2 3
2 1 1
2 3 1
10 4
0 1 3
2 2 2
0 1 0
1 1 1
3 0 2
1 0 1
2 0 0
1 2 2
2 3 1
2 1 0
10 7
0 0 2
2 1 1
0 2 1
1 0 1
2 2 0
0 1 2
1 2 0
1 1 0
2 1 2
0 2 0
10 3
3 0 1
3 1 2
2 2 3
1 1 2
3 2 1
0 0 3
2 3 0
2 2 1
3 1 0
1 0 3
10 9
1 0 0
1 3 3
3 2 2
1 1 0
3 2 1
2 0 1
2 0 3
1 3 1
0 0 0
1 2 3
10 6
2 3 3
2 2 0
0 2 3
3 1 0
2 2 3
3 0 2
0 2 1
3 3 3
3 0 3
2 0 1
10 5
1 0 1
1 2 0
0 3 2
3 3 0
0 1 2
1 2 3
2 2 2
3 3 3
1 3 0
0 0 1
10 5
0 1 2
2 0 2
2 0 1
2 1 0
2 2 1
0 1 1
1 1 2
1 2 2
2 0 0
1 0 0
10 9
2 2 1
2 2 2
3 0 0
1 3 1
0 3 0
2 1 0
0 3 2
2 2 3
2 3 0
2 3 2
10 8
1 3 3
3 0 1
0 2 2
1 2 3
3 1 3
0 3 1
0 0 3
0 0 0
2 1 1
2 3 2
10 4
0 2 2
2 0 1
3 2 2
0 3 2
0 0 1
0 3 0
0 2 0
0 1 1
3 3 3
1 1 2
10 2
2 1 1
1 0 0
0 0 0
0 1 0
1 2 0
2 0 0
2 1 2
0 0 1
2 0 2
1 0 1
10 6
1 2 2
3 1 0
0 3 0
1 3 2
1 3 1
2 0 0
1 3 0
0 0 1
0 3 3
1 2 3
10 7
2 1 0
3 3 1
0 0 0
1 3 0
3 1 3
0 1 0
1 3 1
3 2 3
3 0 2
3 0 3
10 5
2 1 1
0 0 1
1 0 1
0 1 2
1 2 2
2 0 2
1 1 1
0 1 0
1 0 0
1 2 0
10 9
1 3 0
0 1 1
2 2 0
2 3 3
3 0 1
1 2 1
3 1 0
0 0 1
2 0 0
1 3 1
10 8
3 2 1
1 2 2
1 3 3
1 2 1
2 1 2
0 1 2
1 1 2
0 3 3
3 3 3
2 0 1
10 9
3 1 1
0 3 3
1 3 2
1 3 3
3 3 1
2 2 1
1 1 0
1 0 2
3 2 0
2 2 3
10 3
2 0 1
1 1 0
1 1 1
2 2 1
2 1 2
1 2 1
0 0 1
1 2 2
1 0 0
2 1 1
10 2
1 2 2
0 0 2
2 0 2
1 1 2
0 0 1
0 1 1
1 2 0
1 2 1
0 2 0
2 1 1
10 3
2 2 0
0 2 0
1 1 2
2 1 1
1 2 0
0 0 1
0 1 0
1 0 2
1 1 0
2 1 0
10 4
2 0 0
2 0 1
1 0 1
0 1 2
1 2 0
2 2 1
0 2 0
2 1 0
1 1 0
1 1 1
10 8
1 1 1
1 0 1
2 2 0
0 1 1
2 2 2
0 0 1
2 0 0
0 1 0
2 2 1
1 2 1
10 2
0 0 3
1 2 0
1 3 2
2 3 2
3 0 1
1 3 3
3 1 1
0 3 3
1 0 2
3 1 0
10 8
0 1 1
1 0 0
1 1 1
1 0 2
2 0 0
2 0 2
0 2 1
2 0 1
0 1 2
2 2 0
10 5
1 2 1
2 0 1
1 2 0
1 2 2
0 0 2
2 1 1
0 1 0
0 2 2
1 1 0
1 0 2
10 5
2 2 2
2 2 1
2 1 1
0 1 2
2 1 2
2 0 0
1 0 1
0 2 2
2 0 1
0 0 0
10 3
2 0 1
0 0 0
2 1 1
0 0 1
1 0 0
1 1 1
2 0 2
1 2 2
0 1 0
2 2 2
10 3
1 0 2
1 0 1
0 1 2
2 0 2
1 0 0
2 2 1
0 0 0
2 2 2
1 2 1
2 1 2
10 4
3 2 3
2 3 3
1 0 0
0 0 3
3 1 1
1 1 3
0 1 1
1 2 3
2 3 2
3 3 0
10 3
1 2 0
0 1 1
1 0 1
2 1 0
0 0 0
2 2 0
1 2 2
2 0 2
1 0 2
1 0 0
10 4
2 0 0
0 3 2
1 1 0
3 2 1
0 1 3
1 3 2
2 3 1
1 3 3
3 0 3
1 2 2
10 8
0 1 2
0 0 2
1 2 2
2 2 1
1 1 1
2 1 2
1 0 0
2 0 0
0 2 0
2 1 0
10 4
2 1 3
3 3 3
0 1 0
0 3 1
0 0 0
0 0 3
2 2 0
0 3 2
0 2 3
2 1 2
10 4
1 2 1
1 1 2
2 0 0
1 1 1
2 1 2
0 0 1
1 0 1
2 0 1
0 1 2
0 2 2
10 8
1 1 2
0 2 1
0 2 0
2 1 2
2 1 0
0 1 1
2 1 1
1 1 1
0 0 0
2 0 0
10 3
0 3 0
3 3 2
1 1 1
3 3 0
3 1 2
2 2 0
1 0 3
3 0 0
3 2 2
1 0 1
10 8
0 0 1
1 0 1
0 2 1
1 2 1
2 1 2
1 2 0
1 0 0
0 0 0
0 0 2
2 2 2
10 2
1 2 1
0 1 0
0 2 1
0 0 2
1 0 1
2 2 1
1 1 2
2 1 1
0 1 1
0 0 0
10 9
0 2 0
0 0 0
3 0 1
3 1 2
3 0 0
3 1 0
1 1 1
3 2 3
0 3 1
1 3 0
10 7
2 0 1
0 3 1
3 1 0
1 3 0
1 0 0
2 0 2
1 1 0
3 2 3
2 3 0
3 3 3
10 2
1 1 2
1 2 0
0 2 0
1 2 2
0 0 2
2 2 1
2 0 2
1 2 1
0 0 0
1 0 2
10 5
2 1 1
0 2 0
2 0 1
2 2 0
1 0 1
1 1 2
1 1 1
0 0 1
0 1 2
1 1 0
10 5
2 0 1
0 0 0
2 1 1
0 2 2
1 1 2
2 0 0
1 0 0
1 2 1
0 0 2
0 2 0
10 7
0 1 1
1 1 2
2 0 2
1 2 1
1 0 0
0 0 2
2 1 1
0 0 1
2 1 0
1 1 0
10 3
2 0 1
0 0 2
0 1 2
2 2 1
2 0 2
1 1 0
1 1 2
0 2 2
1 1 1
2 1 0
10 5
1 3 3
0 1 1
0 1 3
3 3 0
0 0 2
0 3 2
0 0 3
1 3 1
2 3 0
2 2 3
10 4
1 1 2
2 2 3
3 2 3
0 2 3
1 0 3
3 2 2
0 3 0
1 3 1
0 0 3
1 0 1
10 3
1 1 2
0 0 2
2 2 0
2 1 0
0 1 0
1 1 0
0 1 1
1 2 1
0 0 0
1 0 0
10 6
2 1 0
2 2 1
2 1 2
2 0 1
1 1 0
2 2 0
2 2 2
0 2 0
1 2 0
0 0 1
10 6
0 1 1
1 1 2
2 0 1
1 2 1
1 0 0
0 0 0
0 1 0
2 0 2
0 2 0
0 2 1
10 4
2 0 0
1 2 0
2 0 1
0 0 2
0 1 2
2 2 2
0 1 1
0 0 1
0 2 2
1 1 2
10 6
0 3 3
1 2 1
0 0 3
0 2 0
3 1 3
1 0 1
0 2 3
3 1 1
0 0 0
0 3 1
10 4
2 1 1
1 2 1
1 1 1
1 0 1
2 2 1
2 0 0
2 0 2
1 2 0
0 2 1
1 0 0
10 6
1 3 1
2 1 1
1 1 3
0 1 2
3 3 0
3 0 2
0 2 0
2 0 2
3 0 1
2 3 1
10 9
0 2 0
2 0 0
0 1 2
2 1 1
2 0 2
2 2 0
0 0 0
2 2 1
1 1 1
1 2 2
10 9
1 1 3
3 1 1
3 0 1
0 1 3
1 2 0
1 2 1
1 0 2
0 2 1
3 2 0
0 3 3
10 9
3 2 3
2 3 3
0 1 2
0 0 3
1 3 0
1 2 1
2 3 2
3 0 2
3 3 1
1 2 0
10 7
3 2 3
2 2 3
3 1 0
0 1 2
3 3 1
1 1 2
0 2 3
3 0 2
2 0 2
0 2 2
10 4
2 1 2
1 0 2
1 0 0
0 2 0
1 1 0
0 1 1
2 1 1
0 0 0
0 2 2
2 2 0
10 3
0 0 1
0 0 2
1 1 0
2 0 0
1 0 0
1 1 1
1 2 0
0 2 1
1 1 2
0 2 2
10 3
1 2 2
0 0 0
0 0 2
1 0 2
1 0 1
2 1 2
2 2 1
0 0 1
1 2 1
2 1 0
10 8
0 2 1
1 2 2
1 0 2
1 2 1
2 2 2
2 1 2
0 2 0
0 0 0
0 1 2
2 2 0
10 7
2 3 2
3 3 3
2 0 2
1 1 0
3 0 0
2 3 1
0 3 3
2 0 0
3 3 1
3 1 2
10 4
2 0 2
2 0 1
0 0 0
1 2 2
2 0 0
0 1 1
2 1 2
1 0 0
2 1 1
2 2 2
10 3
0 0 0
3 0 2
0 2 0
0 2 1
3 2 1
2 1 3
2 1 0
0 0 3
1 1 0
3 3 2
10 5
0 3 3
3 2 2
0 0 1
2 2 1
2 1 0
1 0 3
1 0 1
3 3 2
2 1 3
3 0 0
10 4
2 0 2
1 1 1
1 0 0
0 0 1
2 1 0
0 2 1
1 2 1
0 1 1
1 1 0
0 0 0
10 7
0 0 0
0 2 1
1 1 2
0 1 2
2 1 1
1 2 1
1 1 0
0 0 1
0 0 2
1 2 2
10 2
2 0 0
2 3 1
0 3 1
2 3 2
1 2 1
3 0 2
2 2 1
0 0 1
1 0 1
3 2 0
10 7
3 1 2
3 2 3
0 0 1
3 0 0
2 1 3
1 1 2
2 3 2
3 3 3
0 2 3
0 2 0
10 6
2 0 0
0 0 2
2 0 2
2 2 2
0 1 2
2 2 0
1 1 1
2 0 1
0 0 0
2 1 0
10 9
2 2 3
0 3 1
1 2 3
2 2 2
0 1 0
2 0 1
1 3 3
0 1 2
1 3 1
0 2 0
10 2
2 2 1
0 2 2
2 2 2
1 0 0
2 0 0
1 1 2
1 2 0
2 1 2
0 2 0
0 0 0
10 5
2 2 2
0 0 3
1 1 2
2 2 0
0 2 2
1 1 0
0 1 3
0 3 2
0 2 3
3 1 0
10 4
2 2 3
1 0 0
1 3 2
2 1 2
0 0 1
1 1 1
0 3 2
0 2 1
2 3 1
1 0 2
10 5
0 1 1
0 0 2
2 1 2
1 2 2
1 0 1
2 2 2
1 1 2
0 1 2
0 2 1
1 0 2
10 5
1 2 0
1 0 1
2 1 2
0 0 2
1 1 1
1 1 2
0 0 1
2 2 2
2 0 0
2 1 0
10 5
2 1 2
0 1 1
2 2 1
1 0 0
0 0 1
0 0 0
0 1 2
1 1 2
1 2 1
0 2 2
10 8
3 2 2
2 2 1
2 1 1
2 3 1
1 3 3
0 3 1
0 3 3
3 0 3
2 3 2
0 3 2
10 5
0 2 2
1 2 0
2 0 1
1 0 1
0 2 1
2 0 2
2 1 1
1 1 2
2 1 0
1 0 2
10 8
1 2 0
3 0 2
3 3 2
0 1 2
3 0 1
1 1 3
0 3 2
2 2 1
0 2 2
0 3 0
10 8
2 2 2
0 2 1
3 2 0
0 0 1
1 2 2
0 3 0
0 3 2
1 2 0
1 2 1
1 1 1
10 9
1 1 2
0 1 1
0 0 1
2 2 0
2 0 0
2 1 0
1 2 0
1 1 0
1 0 0
1 0 2
10 6
2 1 2
1 2 2
1 2 3
0 3 0
3 0 0
1 0 3
3 1 2
3 1 0
2 0 0
2 0 1
10 9
0 3 1
3 0 0
3 3 0
1 2 2
0 2 3
3 2 1
1 0 1
0 3 3
1 2 1
1 3 0
10 5
0 0 2
0 1 0
0 2 0
1 2 1
2 2 0
2 0 2
1 2 0
0 2 1
1 1 1
0 0 0
10 8
0 2 0
0 0 1
2 0 2
0 0 2
1 1 2
0 1 0
0 2 2
2 0 0
2 0 1
1 1 1
10 5
0 1 1
1 2 1
2 3 2
3 1 2
1 3 1
2 2 3
0 3 3
3 1 1
0 3 1
2 0 3
10 5
0 1 0
1 0 2
1 0 0
0 2 1
0 0 0
0 0 2
2 2 1
0 1 1
1 1 2
1 1 0
10 4
0 1 2
1 0 1
2 0 1
0 1 1
2 2 0
2 1 2
0 0 1
2 2 1
2 0 0
2 1 1
10 2
2 2 2
0 1 1
1 2 1
0 1 2
1 0 1
1 1 1
2 0 1
2 0 2
0 2 1
1 0 0
10 7
2 0 1
3 3 2
3 2 0
1 2 0
2 2 0
2 3 1
0 3 3
1 1 1
1 0 0
0 2 2
10 6
0 0 0
1 1 2
1 0 2
1 0 0
0 2 2
0 0 2
2 0 0
2 1 1
2 2 2
1 2 2
10 8
0 3 2
2 1 1
2 0 3
1 3 3
1 0 3
1 1 3
2 2 1
1 3 1
3 2 2
1 2 1
10 7
0 1 1
1 1 2
0 2 0
1 2 1
0 2 3
2 3 3
1 1 0
1 3 2
2 1 3
3 2 1
10 5
0 2 2
1 1 0
1 2 0
2 0 0
1 2 1
0 1 0
0 0 2
1 1 2
2 2 1
0 1 2
10 2
2 0 2
1 2 0
1 1 1
2 2 3
3 3 1
1 3 3
0 2 1
2 2 0
2 3 1
2 3 2
10 3
3 2 3
2 1 0
1 0 1
0 2 1
1 0 3
1 1 0
2 2 2
3 2 2
1 0 2
2 3 1
10 3
2 1 0
0 1 0
0 0 1
1 0 2
2 2 2
1 1 0
2 2 1
0 1 1
1 1 2
2 2 0
10 5
1 2 2
0 2 2
0 0 0
2 2 1
0 1 1
0 0 1
1 1 2
2 0 1
2 2 0
2 1 1
10 8
2 1 2
2 0 0
2 2 1
0 1 0
1 0 2
0 2 2
1 1 0
0 1 1
1 2 0
0 0 0
10 3
1 2 0
2 2 1
0 2 1
1 0 0
2 2 2
1 0 2
1 0 1
2 1 1
1 1 0
2 0 0
10 7
0 2 0
1 2 1
0 0 0
2 2 1
2 0 2
0 2 1
1 1 2
2 0 1
0 2 2
1 2 0
10 6
2 2 2
1 0 3
1 2 0
2 1 0
2 0 1
3 1 1
0 1 2
3 2 0
1 3 1
0 0 1
10 9
1 2 0
0 2 2
2 0 3
3 2 1
3 0 1
0 2 3
0 0 3
3 0 0
2 2 2
0 1 1
10 2
2 2 3
1 0 0
2 1 2
0 1 1
2 2 0
1 3 3
3 0 1
1 2 3
2 1 0
1 1 2
10 3
3 3 1
3 3 2
1 3 2
3 2 0
2 0 1
1 0 0
3 1 3
3 1 0
1 3 1
2 2 0
10 9
1 0 1
3 0 2
0 2 3
2 1 2
3 0 0
3 1 2
0 0 3
0 3 0
0 0 2
0 1 0
10 8
2 2 2
1 2 2
0 2 0
1 3 0
3 2 0
3 0 2
1 0 2
2 3 3
1 3 2
2 2 1
10 4
2 1 2
1 1 1
1 0 0
1 2 0
0 0 0
0 1 2
0 0 1
1 2 2
1 1 2
0 0 2
10 9
0 1 0
1 0 3
3 2 1
0 3 1
1 1 1
3 3 3
3 2 0
1 3 1
1 3 3
1 2 3
10 2
1 0 1
3 0 3
3 1 0
2 2 2
2 0 1
2 2 1
0 2 1
2 3 2
2 0 2
1 3 0
10 8
1 1 2
2 0 2
3 1 2
1 3 1
1 2 0
0 1 0
3 2 1
2 1 1
0 0 3
2 2 3
10 8
0 2 3
2 1 0
0 3 3
0 3 0
1 2 0
1 2 3
3 3 3
0 3 2
0 0 1
1 3 3
10 4
0 2 1
1 2 1
1 0 2
2 1 1
1 2 0
0 2 2
1 0 1
2 2 0
2 1 2
2 1 0
10 7
3 0 1
1 1 3
2 3 1
0 2 2
1 2 1
3 2 3
2 0 0
3 2 2
3 1 1
3 3 1
10 5
2 3 0
1 0 2
3 3 3
1 2 3
2 1 0
0 0 3
3 1 3
3 3 2
2 3 1
3 0 3
10 2
2 2 0
0 0 2
1 2 1
0 2 0
1 2 2
0 2 2
1 1 0
0 1 1
2 0 2
2 0 1
10 9
1 0 2
2 2 1
0 0 0
3 3 3
3 2 1
2 1 0
1 0 3
1 1 1
0 3 2
0 0 2
10 4
2 0 1
3 1 0
0 3 1
1 2 3
2 3 2
1 2 1
0 3 3
3 0 2
1 3 1
0 2 1
10 7
0 0 0
2 1 2
0 1 0
1 0 2
2 1 0
0 2 1
2 2 0
1 0 0
2 0 1
1 1 1
10 2
1 3 3
1 2 0
2 0 0
0 3 2
3 1 2
2 2 3
0 3 1
3 2 3
1 1 2
0 0 1
10 7
3 2 3
3 2 2
1 3 0
0 0 1
2 0 3
3 2 1
3 0 2
3 0 1
0 3 3
3 1 2
10 7
3 0 3
1 3 0
3 3 0
2 0 1
0 1 3
1 1 0
2 3 1
0 1 1
2 1 0
2 2 0
10 4
2 2 0
0 0 0
2 0 2
1 0 0
1 0 3
2 3 0
3 1 1
1 2 0
1 3 1
2 2 1
10 9
0 3 1
3 1 2
2 2 2
1 1 2
0 3 2
3 2 2
3 2 0
2 3 2
1 3 0
1 2 0
10 7
0 2 1
1 0 2
2 2 1
2 0 0
1 1 1
1 1 2
2 0 1
0 1 1
2 2 0
1 1 0
10 3
1 1 0
0 2 0
0 2 1
1 2 1
2 2 1
0 1 1
0 2 2
0 0 1
0 1 0
2 0 1
10 8
1 0 2
2 1 1
0 0 0
0 1 0
2 0 0
2 0 1
1 2 0
0 0 1
0 0 2
1 0 0
10 5
0 2 2
3 1 1
2 1 0
3 2 2
1 2 0
2 3 2
3 3 2
1 0 1
0 0 2
1 2 1
10 7
0 0 0
3 3 0
1 1 2
1 1 3
2 0 0
0 3 3
1 0 1
0 2 1
1 0 2
2 0 3
10 7
0 0 0
3 1 2
2 3 1
0 3 1
3 0 0
2 0 0
2 2 1
2 3 2
1 0 0
3 2 2
10 7
1 2 1
1 0 1
2 1 0
0 1 2
1 1 2
0 2 1
2 2 1
0 1 0
0 2 0
0 1 1
10 8
2 0 1
0 0 3
1 0 2
3 3 0
0 2 3
1 2 3
1 3 1
1 1 1
3 3 1
2 1 0
10 4
0 0 1
2 0 1
0 1 0
1 0 2
1 0 1
0 1 1
2 0 2
2 2 0
2 1 1
2 1 2
10 9
0 1 0
3 3 3
3 0 0
3 2 1
1 0 0
0 1 1
0 2 0
2 3 1
2 1 0
2 0 1
10 8
2 2 1
0 2 1
1 1 1
2 3 3
0 1 1
2 2 2
0 3 2
0 0 3
3 0 1
3 0 2
10 9
1 1 1
1 2 1
1 1 2
2 0 0
1 2 0
2 0 2
0 0 1
2 1 0
1 2 2
2 1 1
10 6
1 2 2
2 0 0
1 2 1
1 0 0
0 1 0
0 0 0
1 0 2
0 2 1
0 0 1
1 2 0
10 2
0 0 3
0 1 2
3 1 3
3 2 1
2 2 0
2 2 2
3 0 1
3 1 2
0 3 2
0 3 3
10 8
2 1 2
2 3 3
3 3 3
0 2 1
2 3 2
0 3 3
1 1 0
0 3 0
0 1 0
1 1 1
10 9
3 0 0
2 2 3
3 2 1
2 0 0
3 1 0
3 0 2
0 1 0
0 3 0
3 3 0
3 3 3
10 6
2 0 0
1 2 0
0 2 2
0 2 0
2 2 1
0 2 1
0 0 2
1 1 2
2 2 2
1 0 0
10 8
1 0 1
2 0 0
0 1 2
1 1 0
1 0 0
0 1 1
2 0 2
0 1 0
0 0 0
1 0 2
10 3
3 0 1
0 0 2
1 1 3
0 3 1
0 3 0
0 0 0
1 0 1
3 0 2
2 1 0
0 1 1
10 4
1 3 2
1 1 0
3 1 2
2 0 1
3 2 3
3 2 0
2 1 3
2 0 0
0 2 3
0 1 2
10 2
0 2 2
0 0 0
0 0 1
2 0 2
1 2 2
2 2 2
0 2 0
0 2 1
2 1 2
0 0 2
10 8
0 0 0
1 0 1
1 1 1
0 1 2
2 0 1
2 1 0
1 1 2
0 0 1
0 2 2
1 0 2
10 5
2 3 0
1 3 3
2 2 3
2 3 2
1 3 1
1 0 3
2 3 3
0 0 3
3 1 2
3 3 1
10 4
0 0 1
1 1 1
1 2 1
2 0 2
1 0 1
1 1 2
0 2 0
0 1 2
0 0 0
0 2 1
10 7
2 3 2
2 1 2
1 2 0
2 1 0
0 0 3
0 2 0
2 0 1
2 2 2
3 0 2
0 3 3
10 9
1 1 0
1 2 2
2 0 1
0 0 2
0 1 0
0 0 1
0 2 1
1 0 1
2 2 1
1 2 0
10 7
2 0 2
2 1 1
0 1 1
0 0 1
0 2 0
0 1 0
2 2 0
1 1 0
1 1 1
2 1 2
10 7
2 1 3
0 0 0
0 1 0
3 2 3
0 3 2
1 3 3
0 0 1
2 0 2
0 1 1
2 1 2
10 7
0 1 2
2 0 0
0 2 0
0 0 1
1 0 1
2 2 2
2 1 2
1 2 2
0 0 0
2 0 1
10 3
2 0 0
3 2 3
0 1 2
3 2 2
2 3 1
1 1 3
2 3 2
3 3 0
2 2 3
0 1 1
10 6
2 0 2
0 1 2
1 0 0
0 0 0
1 0 2
1 1 0
1 2 2
0 1 1
1 1 1
0 2 1
10 4
1 0 1
1 1 0
1 1 3
0 3 1
2 0 2
1 0 0
3 3 1
2 2 0
0 2 0
2 0 3
10 4
0 2 2
0 2 0
2 2 0
0 1 1
1 2 0
1 0 0
1 2 1
0 1 0
1 1 1
0 0 1
10 4
0 2 1
1 0 0
1 0 1
2 1 0
2 0 2
0 2 0
2 0 1
1 1 0
1 2 1
2 1 1
10 9
2 0 0
1 0 1
2 0 1
0 2 2
2 1 1
1 1 1
0 0 0
2 2 1
1 0 0
2 0 2
10 3
2 0 3
1 2 2
2 0 2
1 2 3
2 1 3
3 3 2
2 0 1
1 0 0
0 2 1
1 3 0
10 5
2 0 2
0 0 0
0 2 0
2 0 1
2 1 2
1 2 1
2 2 0
2 1 1
2 2 2
0 1 1
10 2
2 0 1
0 2 0
0 2 1
2 1 2
2 2 1
1 0 1
2 2 2
2 2 0
0 1 0
1 1 1
10 2
3 0 3
2 2 3
2 0 3
0 2 2
1 0 2
3 0 0
1 2 3
2 2 0
0 2 1
2 3 2
10 8
1 2 0
2 1 2
0 0 1
0 2 2
2 2 1
1 1 0
1 0 1
2 2 2
2 1 1
2 0 1
10 9
1 0 1
3 0 0
1 0 0
3 3 1
2 2 0
1 1 0
3 3 3
0 2 1
0 3 3
2 0 1
10 2
0 2 3
2 0 1
1 1 1
3 2 3
0 3 3
2 1 3
1 3 1
2 1 0
3 0 2
0 3 1
10 6
1 1 2
2 1 0
0 2 2
3 2 1
1 1 1
0 3 0
3 1 3
0 0 1
3 3 1
3 0 0
10 5
0 1 0
2 1 0
1 3 3
2 0 0
2 1 2
3 0 0
1 1 1
1 1 3
3 0 1
0 0 1
10 3
2 0 2
1 0 1
0 0 1
0 0 2
1 2 2
0 1 1
2 1 1
2 1 2
2 0 0
2 2 0
10 7
1 1 0
1 0 1
1 2 2
2 0 0
0 0 2
2 0 1
2 1 0
2 2 0
2 2 1
1 0 0
10 3
1 1 1
2 2 2
1 1 0
1 2 0
2 1 1
0 1 0
2 0 1
0 2 0
2 2 1
2 1 0
10 2
1 0 2
2 1 1
0 1 1
0 0 1
0 0 0
1 1 2
1 0 1
2 1 2
0 2 1
1 1 0
10 5
0 0 0
1 1 2
0 1 0
0 1 1
1 2 0
1 2 2
2 1 2
2 2 0
1 0 1
1 0 2
10 7
1 0 3
3 3 2
2 2 0
3 1 1
2 1 3
2 2 3
2 1 1
2 2 2
3 3 1
3 0 1
10 3
2 0 2
2 1 2
0 1 2
2 0 1
0 0 2
2 2 0
1 1 0
1 0 1
1 0 2
0 2 0
10 4
0 2 1
0 0 0
0 2 2
2 0 2
1 1 2
1 0 0
1 0 2
0 0 2
2 2 1
1 1 0
10 8
1 2 1
2 0 2
0 0 0
2 2 2
0 1 0
1 1 0
2 0 0
0 2 1
2 1 1
2 2 1
10 9
0 1 2
1 1 1
2 2 2
1 0 2
0 0 2
2 0 2
2 1 1
1 2 0
0 1 1
0 2 0
10 2
0 1 2
1 1 2
1 2 1
2 2 0
1 0 2
0 0 2
0 2 1
1 0 0
2 0 1
2 1 2
10 7
2 0 0
2 1 3
2 2 1
1 0 0
0 2 3
1 0 2
3 1 1
3 3 3
3 0 0
0 3 3
10 5
1 1 1
2 1 1
2 2 1
2 2 0
0 0 1
2 0 0
1 2 1
2 0 2
2 1 0
1 0 2
10 2
0 2 2
3 3 3
3 1 1
0 2 0
1 2 2
2 2 0
0 0 1
1 3 3
0 0 0
2 3 3
10 3
1 3 0
3 2 2
3 1 0
0 3 3
0 3 0
0 2 1
3 2 3
1 2 2
2 1 3
0 0 2
10 7
3 2 3
3 0 1
0 2 2
3 2 2
1 1 0
0 3 2
0 1 0
3 2 1
2 0 1
1 2 0
10 7
0 0 0
2 1 0
2 2 2
2 1 3
0 3 2
2 1 2
2 2 3
1 2 0
2 3 3
1 0 0
10 3
1 3 2
0 1 3
0 1 0
2 1 3
0 1 2
2 3 1
1 0 1
2 0 0
2 2 2
3 3 3
10 4
1 3 3
3 2 2
0 0 1
1 1 3
0 2 2
0 1 0
3 1 0
1 2 0
0 3 1
2 3 2
10 7
0 3 0
2 1 1
2 0 2
1 1 2
0 0 0
3 0 3
0 3 1
3 2 1
0 2 3
2 3 2
10 6
1 2 2
1 0 1
2 2 0
1 0 2
1 2 0
1 1 0
0 2 0
2 0 2
0 0 0
1 1 1
10 8
2 2 0
1 1 0
2 1 2
1 2 0
0 0 0
1 0 0
2 1 0
0 2 0
2 2 2
0 2 1
10 3
1 0 1
1 2 0
1 2 1
0 1 0
2 1 0
2 1 2
1 1 0
2 1 1
1 1 1
0 0 1
10 3
0 0 3
1 3 1
2 3 2
0 3 0
2 2 3
1 3 0
0 1 1
1 1 2
2 3 3
1 2 1
10 2
0 2 1
1 2 0
2 0 2
1 0 2
0 0 0
0 1 1
1 0 1
1 1 2
0 0 1
0 0 2
10 3
1 1 0
1 2 1
1 0 1
2 0 1
1 2 0
2 1 0
2 0 2
0 2 1
0 2 2
0 1 2
10 7
1 2 2
1 0 1
1 2 0
0 2 1
1 0 2
0 0 0
2 2 0
2 0 0
2 2 1
0 1 0
10 4
2 0 0
0 0 1
1 0 2
1 1 0
2 2 0
0 1 0
2 1 2
0 1 1
2 1 0
0 2 2
10 3
0 3 2
1 1 0
1 0 3
0 2 3
2 0 2
3 1 2
2 1 1
1 2 2
3 3 3
1 3 0
10 7
0 3 3
3 3 3
2 2 2
3 2 1
3 3 0
1 1 2
0 0 2
2 2 1
2 0 1
1 3 1
10 5
1 3 0
2 1 1
2 3 1
2 1 3
2 0 0
0 1 3
1 0 3
1 0 1
1 0 2
2 0 1
10 9
2 3 3
3 3 0
1 1 3
0 3 2
3 0 1
2 0 0
2 3 1
3 1 2
1 2 3
2 0 2
10 4
1 1 3
2 2 3
1 3 3
0 1 1
3 0 0
2 1 3
1 0 0
2 3 1
3 0 3
1 2 0
10 7
1 3 0
0 0 2
2 3 2
1 1 0
1 3 1
3 3 2
1 0 1
3 0 0
1 1 1
3 2 3
10 6
3 1 1
0 2 1
0 2 0
0 0 2
2 2 2
2 1 2
2 2 3
3 2 3
1 2 1
1 0 2
10 6
1 0 0
0 2 0
2 0 0
2 0 1
0 2 1
2 1 2
1 2 1
1 0 2
0 1 2
0 1 0
10 2
2 1 1
1 1 2
0 2 0
1 2 2
2 0 0
2 2 1
0 1 2
1 0 2
1 2 0
2 0 1
10 8
1 1 2
0 3 2
1 2 2
2 3 2
1 3 2
2 3 0
1 0 2
3 3 0
0 3 3
2 0 0
10 5
1 1 2
0 1 2
1 2 0
0 2 2
0 1 1
1 0 1
2 1 2
1 2 2
2 2 2
2 1 0
10 3
3 0 1
1 0 0
1 0 3
3 1 1
2 3 1
0 3 1
3 1 3
0 0 3
2 2 1
3 2 3
10 9
0 2 1
1 0 1
2 1 2
1 1 2
0 1 1
0 0 0
0 1 2
2 0 0
1 2 2
0 1 0
10 9
0 3 3
0 0 0
0 1 3
0 1 0
0 3 1
1 0 3
3 2 3
3 1 0
0 2 0
3 2 2
10 8
0 0 3
2 2 1
1 1 1
2 1 3
0 1 1
2 3 1
0 3 3
2 3 0
3 1 0
3 2 0
10 9
1 0 1
2 0 0
2 1 3
2 1 2
3 1 2
1 1 3
3 0 0
3 2 1
1 3 1
2 3 1
10 9
3 2 3
2 3 3
0 0 3
3 1 1
2 2 1
1 3 2
1 1 3
2 2 0
1 3 1
1 0 2
10 8
2 2 1
1 0 2
0 1 0
2 0 1
2 2 2
1 1 0
2 1 0
1 1 2
2 0 0
1 1 1
10 2
3 0 1
1 1 2
2 1 0
2 3 2
3 0 3
0 1 1
3 3 3
1 0 0
2 0 1
0 1 3
10 3
2 1 2
2 0 1
1 1 0
3 0 1
2 3 0
0 0 2
0 3 1
2 2 0
2 3 2
2 0 0
10 4
3 0 1
3 2 1
3 0 3
3 0 2
3 2 3
1 3 1
3 0 0
3 2 2
2 3 3
3 3 3
10 8
1 0 2
0 3 1
3 2 1
2 1 3
1 1 2
1 1 3
2 3 0
0 1 0
3 3 0
3 0 0
10 6
3 0 2
1 1 2
1 0 1
0 2 2
3 1 2
3 3 3
2 0 3
2 3 0
3 0 1
3 3 0
10 7
2 3 2
1 0 2
3 2 1
1 1 1
2 1 1
0 2 2
2 0 0
2 2 1
3 3 0
3 0 1
10 9
0 1 2
1 0 1
0 2 0
2 2 2
2 1 0
1 2 1
0 0 0
2 2 1
0 0 2
2 1 2
10 5
2 1 0
1 0 1
1 0 2
2 2 1
1 1 2
1 2 1
0 0 1
2 0 2
0 0 0
2 1 2
10 8
1 3 3
2 3 0
0 1 1
0 3 1
3 2 3
1 3 0
3 0 1
1 2 3
0 0 3
3 3 3
10 8
1 0 1
2 1 2
1 2 1
2 1 0
0 2 1
1 1 1
1 2 0
2 0 1
2 2 1
0 2 0
10 7
0 2 0
2 0 1
1 2 2
0 2 2
1 0 3
0 3 0
1 0 2
1 2 1
1 3 1
2 1 0
10 7
0 1 0
2 1 0
1 3 3
3 2 2
3 1 3
0 0 2
1 1 0
0 1 1
0 1 3
0 2 1
10 2
1 1 1
1 1 2
2 0 1
1 2 1
2 2 0
2 1 0
0 0 1
2 0 2
0 1 2
1 2 0
10 6
2 0 3
2 2 1
1 1 3
0 3 1
1 2 0
1 2 2
2 0 1
0 0 1
1 1 1
2 1 3
10 5
3 3 3
1 1 1
2 2 2
1 2 3
1 2 0
1 3 0
2 3 1
1 1 0
2 0 1
1 0 3
10 3
2 2 3
3 2 0
1 2 0
3 0 2
1 1 1
2 2 1
2 0 0
3 0 1
3 2 3
0 1 1
10 2
2 1 3
1 2 3
2 2 3
1 3 2
2 1 1
1 2 2
3 2 1
1 3 3
2 3 0
0 2 0
10 4
3 3 3
1 2 0
3 0 0
0 0 0
2 2 0
1 2 2
1 0 2
2 2 3
2 3 1
3 3 1
10 7
2 2 1
1 2 0
0 0 1
1 0 1
2 0 2
2 1 2
2 0 0
1 1 1
2 0 1
2 2 2
10 3
0 0 2
0 2 1
0 0 0
1 2 2
0 0 1
2 0 2
2 2 2
1 1 2
2 0 0
2 1 2
10 4
0 1 1
0 0 0
2 2 1
1 0 1
2 0 1
1 2 2
1 1 0
2 2 2
2 2 0
2 1 0
10 8
3 2 2
2 0 2
1 2 1
1 0 0
3 0 3
1 1 0
0 0 1
0 1 1
1 0 2
1 3 3
10 5
3 1 3
3 3 0
0 3 0
1 3 2
2 3 1
0 2 3
1 3 3
1 2 0
1 0 3
0 1 0
10 9
1 0 3
0 1 2
3 1 1
1 3 0
1 3 3
3 0 2
2 1 3
2 0 0
2 0 1
0 1 3
10 6
2 2 2
0 2 2
1 0 3
1 2 0
2 0 3
3 1 0
2 2 3
2 1 1
1 0 2
0 3 3
10 8
3 1 3
1 0 3
3 3 2
3 1 1
1 3 3
3 3 1
2 1 3
1 0 1
3 2 1
0 0 1
10 5
2 1 1
3 0 0
3 2 2
2 2 1
0 3 3
1 2 2
2 3 2
0 2 1
2 0 3
2 0 2
10 9
3 0 1
2 2 3
1 1 3
3 2 0
2 3 2
0 3 3
3 2 1
3 0 3
0 2 3
0 3 2
10 5
0 0 2
1 0 2
3 0 2
3 1 1
0 0 3
2 2 2
1 0 0
0 2 3
1 2 1
0 1 0
10 4
1 3 2
1 0 0
3 2 1
1 0 3
3 0 1
1 0 1
0 1 2
3 1 3
3 0 3
1 2 2
10 7
0 2 2
2 0 2
0 2 1
2 0 0
1 1 1
2 2 1
1 1 2
0 1 1
1 2 0
0 0 1
10 9
0 0 1
0 2 2
0 1 2
0 1 1
2 1 0
1 0 1
1 2 0
2 2 1
1 2 1
1 1 2
10 5
3 1 2
2 0 2
3 2 3
0 1 3
0 2 0
3 2 0
3 3 2
3 0 0
3 0 2
2 1 0
10 4
1 1 1
0 2 2
2 2 2
1 0 2
0 0 0
2 2 0
0 1 2
1 2 0
2 1 0
1 1 0
10 4
0 2 0
2 1 0
1 1 2
1 0 0
2 2 0
2 2 2
1 2 2
0 2 1
2 0 0
2 0 2
10 4
0 2 1
1 1 0
2 1 1
2 0 2
1 2 2
1 2 1
1 1 2
2 0 0
1 0 0
0 1 1
10 4
1 1 1
0 1 0
1 2 3
1 2 0
2 3 0
1 0 1
3 2 3
2 3 3
1 1 0
0 3 0
10 5
0 0 0
2 3 2
2 3 0
3 1 1
3 2 3
3 2 0
1 1 1
3 3 0
1 1 0
0 2 0
10 9
2 2 1
0 1 2
0 0 1
2 2 0
0 0 0
2 1 1
1 1 2
0 1 0
0 0 2
0 2 0
10 7
1 0 2
0 2 2
2 2 1
0 1 0
2 0 1
0 2 1
2 2 2
2 0 2
0 0 0
1 2 1
10 9
2 3 1
0 3 2
1 0 2
1 3 0
2 0 1
3 0 3
0 1 3
1 3 2
1 1 3
3 1 0
10 4
0 1 0
3 3 3
1 3 0
2 2 2
0 1 2
2 3 1
3 2 0
2 1 2
0 3 3
0 0 1
10 7
0 0 2
2 2 2
0 2 1
1 2 0
2 1 0
1 0 1
1 0 0
2 0 0
0 1 1
0 0 1
10 9
2 1 0
1 0 2
2 0 2
2 0 0
2 2 1
1 2 2
0 1 2
1 2 1
0 2 0
2 1 2
10 7
1 2 1
2 2 3
2 2 0
2 3 3
3 1 2
1 0 1
3 0 2
2 3 2
0 2 1
0 1 0
10 4
2 1 1
1 2 2
1 1 0
2 1 0
0 0 1
1 0 0
0 1 1
0 2 0
1 0 1
2 0 0
10 6
0 0 0
1 2 2
1 2 0
2 1 2
0 0 1
0 0 2
1 0 0
0 2 0
2 1 1
2 0 0
10 8
3 1 0
2 3 2
0 1 0
1 2 0
1 0 0
2 2 0
0 0 3
1 3 1
3 2 0
1 1 1
10 3
0 1 1
2 0 3
3 1 0
1 3 0
2 2 2
2 1 3
3 3 3
0 3 2
3 3 0
1 0 0
10 3
2 2 2
2 0 0
1 0 0
0 1 2
0 0 2
1 1 2
1 1 1
2 1 1
2 1 2
0 2 1
10 2
1 2 1
2 1 0
0 2 2
1 2 0
1 2 2
1 0 0
2 2 1
0 1 1
0 1 0
2 1 1
10 5
0 1 0
2 2 2
0 0 2
0 1 1
2 2 0
2 1 1
1 2 1
2 0 0
2 1 0
1 2 2
10 7
0 1 2
1 0 0
1 0 2
0 0 0
2 2 0
2 2 1
2 0 1
1 2 1
2 0 0
2 1 2
10 2
2 0 2
2 1 2
1 2 1
0 2 1
2 2 2
1 1 2
1 1 0
2 0 0
1 1 1
1 0 2
10 9
2 0 3
2 3 1
1 3 2
2 1 1
0 0 3
3 2 3
1 0 1
1 1 1
1 2 0
0 3 1
10 9
0 0 0
3 2 3
1 1 1
2 3 3
3 2 1
1 3 3
0 1 2
0 3 1
0 2 0
1 2 0
10 6
2 2 0
0 2 1
1 1 1
1 0 2
1 2 1
2 2 1
0 0 2
1 2 2
1 1 0
0 0 0
10 8
3 2 1
0 3 3
3 0 2
3 1 2
1 3 3
0 3 0
3 1 3
3 2 0
0 1 1
0 2 3
10 3
0 2 1
3 0 0
1 2 0
1 0 2
2 2 1
0 3 1
2 1 2
3 1 1
0 2 2
1 0 0
10 5
0 0 2
0 1 1
1 1 2
0 1 0
1 1 0
1 2 2
2 0 0
1 0 1
0 1 2
2 2 0
10 9
0 0 0
1 2 2
2 2 0
1 2 0
1 1 1
0 1 2
0 0 2
2 0 2
1 0 2
0 0 1
10 9
0 0 0
2 2 2
2 0 0
0 1 2
1 2 1
0 0 2
1 0 2
0 1 0
2 1 1
0 2 1
10 4
0 0 0
2 1 2
2 1 0
0 0 1
2 0 0
2 2 1
0 2 0
2 2 0
1 2 0
2 0 2
10 3
2 3 3
2 3 2
0 1 0
3 1 0
3 2 1
1 3 0
2 2 2
0 0 2
2 2 3
1 0 1
10 6
1 1 2
0 0 2
0 2 2
0 2 1
0 1 2
1 0 1
1 0 2
2 2 2
2 2 0
2 0 1
10 9
2 0 1
1 3 2
2 0 0
0 0 3
3 0 0
3 2 3
3 2 0
2 0 3
2 2 0
1 3 1
10 5
1 1 1
2 0 1
0 1 2
1 1 2
1 2 0
1 0 1
1 2 2
0 2 2
2 1 0
2 2 2
10 3
3 1 1
2 1 1
0 3 0
2 3 3
1 3 1
2 0 3
0 0 0
0 0 3
1 1 1
0 0 1
10 3
3 3 1
2 2 3
3 3 3
1 0 2
0 3 2
2 3 1
3 1 3
0 0 3
2 0 1
0 1 3
10 3
0 2 2
2 1 1
2 1 2
1 0 2
1 2 0
0 0 2
1 0 1
1 1 2
2 2 0
0 1 0
10 6
1 1 2
2 1 0
1 3 2
0 3 0
1 3 3
3 0 0
1 0 3
1 3 0
2 2 3
0 2 1
10 8
0 1 3
2 0 3
3 3 2
1 1 2
2 2 1
1 1 3
3 2 3
3 1 3
3 2 0
0 3 2
10 6
0 1 3
1 3 1
2 3 3
2 3 1
0 2 1
3 0 0
1 1 3
1 1 0
0 2 3
0 1 0
10 3
3 2 0
0 0 1
2 2 2
1 1 3
3 3 3
3 3 2
0 3 2
2 0 1
2 1 2
2 3 2
10 7
0 2 3
2 0 0
3 0 2
2 1 1
2 1 0
0 3 0
2 0 3
1 1 2
3 1 3
3 1 1
10 9
2 0 3
0 0 3
1 3 3
1 2 0
3 2 1
1 3 1
0 3 2
3 0 0
1 0 3
2 0 2
10 4
1 3 0
3 0 3
2 2 2
3 1 2
1 3 3
1 1 3
0 0 2
1 0 2
3 0 0
2 1 2
10 3
1 0 1
2 0 0
2 1 0
1 2 0
1 2 1
1 0 0
2 2 0
1 2 2
2 2 2
0 2 0
10 4
0 1 2
2 0 2
1 1 1
1 0 0
2 2 2
1 1 2
2 0 0
0 0 2
1 0 1
1 0 2
10 3
0 2 0
0 2 2
0 0 0
2 2 1
2 1 0
2 1 2
1 0 2
1 2 0
2 1 1
2 2 0
10 4
0 1 1
0 2 0
2 2 2
2 1 1
2 2 0
1 2 0
0 0 2
2 0 1
2 1 0
2 0 2
10 7
3 2 2
2 0 2
1 1 1
0 3 0
3 1 0
1 3 1
0 1 3
1 2 1
0 2 3
0 0 1
10 2
1 2 1
0 2 2
2 1 1
1 2 0
2 1 2
0 1 0
2 2 0
0 0 2
2 2 1
0 0 0
10 5
1 2 1
2 2 2
2 0 2
2 0 0
2 2 0
0 0 0
2 0 1
1 2 2
2 2 1
0 0 1
10 3
1 1 2
2 2 1
3 2 1
1 1 1
1 0 2
3 1 3
2 3 0
0 3 3
1 2 2
3 1 1
10 3
1 1 0
1 0 0
2 0 0
0 1 3
3 1 3
3 2 0
2 2 2
2 2 1
2 3 2
3 2 3
10 8
2 0 2
0 0 0
0 2 2
1 0 0
0 1 1
1 1 2
2 1 0
1 2 1
1 0 1
0 1 2
10 2
0 1 2
2 1 0
1 2 0
2 1 2
1 1 2
1 2 2
2 2 1
0 0 1
0 1 1
2 0 0
10 6
1 1 0
0 0 2
2 1 2
0 1 2
2 2 2
1 0 0
1 2 1
2 2 1
1 0 2
0 0 0
10 8
2 2 0
0 1 2
0 0 0
0 0 2
1 1 2
1 1 1
2 0 0
1 2 1
1 2 0
0 0 1
10 3
1 2 0
0 0 1
2 0 2
2 1 0
1 1 0
1 1 2
1 0 1
2 2 0
0 2 0
2 0 1
10 3
2 1 0
2 1 1
1 2 1
0 0 2
0 0 1
2 2 1
1 2 2
2 2 2
1 0 2
1 1 1
10 2
2 2 1
1 0 0
2 1 1
1 1 2
0 2 1
1 2 0
1 1 0
1 1 1
0 0 2
1 2 1
10 9
1 0 0
2 0 0
0 0 0
0 1 0
2 2 1
1 1 1
2 2 0
1 2 0
1 0 1
0 0 2
10 9
1 2 2
2 0 3
2 1 0
2 3 3
1 1 1
3 2 0
2 0 1
1 3 1
3 3 0
2 2 3
10 9
1 0 1
0 1 0
2 0 1
2 0 0
1 2 0
0 1 2
0 2 2
2 2 0
2 1 1
1 1 2
10 8
2 3 3
3 3 3
2 0 0
0 3 1
2 1 2
3 3 2
0 2 2
1 1 0
3 3 1
3 2 0
10 8
1 0 2
0 2 1
2 2 2
1 0 1
1 2 0
1 1 0
2 0 2
0 0 2
0 1 2
2 2 1
10 3
0 0 0
0 0 1
2 0 2
0 1 2
1 1 1
1 2 1
0 2 2
1 0 1
1 0 2
1 2 2
10 9
1 0 0
0 0 1
2 2 0
0 2 0
0 1 2
0 0 0
0 2 1
2 0 0
2 2 1
1 2 0
10 9
2 0 2
2 2 1
0 2 2
2 1 0
0 1 1
1 2 2
2 2 2
2 0 0
0 0 2
1 0 1
10 2
2 0 1
0 0 0
0 1 2
0 0 2
0 1 0
2 1 0
0 1 1
0 2 2
1 2 0
2 1 2
10 4
3 2 1
2 0 0
1 0 3
2 0 3
2 3 2
0 1 3
3 3 0
0 3 0
1 3 1
0 0 3
10 8
1 0 0
1 1 2
1 2 1
1 2 0
2 0 2
1 0 2
2 1 0
0 0 0
0 2 0
2 0 1
10 7
0 1 2
3 1 1
0 2 1
1 3 1
2 3 3
1 3 3
0 3 1
0 2 2
1 0 2
2 0 2
10 7
3 1 2
0 0 3
1 2 3
1 1 2
1 0 1
1 3 0
2 3 2
1 1 3
2 2 0
1 3 3
10 9
2 2 0
2 3 1
0 1 3
0 3 1
1 3 2
2 2 1
2 3 3
0 2 1
1 3 3
3 1 0
10 9
0 1 2
1 2 2
0 1 0
1 1 2
1 0 2
0 2 2
2 0 1
2 1 2
0 0 2
1 0 1
10 7
1 3 3
2 0 0
2 2 1
1 0 2
0 1 1
0 3 1
2 0 2
0 3 0
3 2 0
1 1 3
10 2
0 3 0
1 2 2
3 2 1
3 3 0
2 0 0
3 0 0
1 0 1
3 3 3
0 2 0
0 3 1
10 4
1 1 2
0 0 2
0 2 2
0 1 1
2 2 0
2 1 0
0 0 0
0 1 0
0 2 0
0 0 1
10 3
0 2 0
2 2 0
3 3 0
1 3 2
3 2 1
1 2 0
3 2 2
3 1 2
2 0 2
0 0 3
10 7
1 0 0
1 0 1
2 0 0
1 0 2
0 1 0
0 1 2
2 1 2
1 1 0
0 1 1
2 2 2
10 8
1 1 0
1 2 0
2 2 0
2 0 2
0 0 0
1 0 0
1 2 1
0 2 2
2 1 2
2 2 2
10 3
3 1 3
0 1 0
0 0 3
2 0 2
3 0 1
2 3 3
2 3 0
0 2 0
3 1 2
3 2 0
10 5
3 1 1
2 2 1
2 0 0
2 0 3
3 3 2
2 2 0
1 0 3
0 0 0
1 3 2
0 1 2
10 4
2 1 1
2 2 2
1 0 1
0 1 1
0 1 2
2 0 2
1 0 2
1 1 1
2 0 1
2 1 0
10 2
1 3 3
0 0 0
3 1 0
2 2 2
1 3 1
3 3 3
2 1 2
3 1 3
1 1 0
2 0 2
10 7
2 0 3
0 2 2
1 0 3
0 0 3
2 2 2
2 1 2
1 3 2
0 2 1
1 1 0
0 1 2
10 7
1 1 0
1 0 1
0 2 1
1 2 2
0 0 1
1 2 1
0 2 0
2 0 0
2 2 2
2 1 2
10 3
0 1 0
0 0 1
1 2 1
2 2 2
1 2 2
2 1 0
1 1 2
0 1 1
1 2 0
1 1 0
10 4
3 0 3
1 0 1
1 2 3
3 1 2
3 2 2
2 1 0
1 0 0
0 3 2
3 1 0
0 3 1
10 2
1 2 2
3 1 1
0 1 3
1 1 3
3 3 1
1 3 2
1 0 1
1 0 2
3 3 0
3 0 2
10 5
2 1 1
0 1 0
0 2 1
1 2 1
2 0 1
0 2 0
1 0 0
1 2 2
0 1 2
1 2 0
10 8
0 1 1
2 1 0
0 1 0
0 0 2
0 2 0
1 0 1
2 2 0
1 1 0
2 1 2
1 0 0
10 9
1 2 2
0 2 2
2 1 0
1 1 0
0 1 2
0 1 0
0 0 0
0 0 2
1 0 2
1 2 0
10 9
2 1 0
2 0 2
3 2 3
3 0 0
2 3 0
3 1 3
0 3 3
2 3 1
0 2 2
0 2 0
10 2
0 0 0
2 1 1
3 0 3
0 1 3
2 2 0
1 1 3
0 3 2
1 3 0
1 3 1
3 0 1
10 8
3 1 2
3 3 1
2 2 1
2 2 2
1 2 2
0 1 3
1 3 0
2 1 2
1 3 1
0 0 2
10 4
1 2 2
2 1 2
1 1 0
2 2 0
2 2 2
2 0 0
0 1 1
0 1 0
1 1 2
2 1 1
10 4
3 1 0
2 3 2
3 1 1
1 1 3
0 0 0
1 2 0
1 2 2
2 1 1
1 0 1
0 2 0
10 2
0 2 3
2 2 3
2 1 3
3 3 2
0 2 2
2 1 2
0 3 1
1 3 2
0 2 1
1 0 1
10 6
2 3 3
0 3 2
2 0 2
3 2 1
0 0 3
1 1 3
3 2 0
3 3 0
2 0 1
2 0 3
10 7
2 0 0
2 2 1
2 1 2
0 0 1
0 1 1
2 0 2
2 2 0
0 0 2
0 1 0
2 1 1
10 2
1 0 2
1 2 0
2 2 0
0 1 2
0 1 0
0 2 1
0 1 1
2 1 0
2 2 1
2 2 2
10 9
1 2 0
2 0 0
1 0 1
2 0 2
1 1 2
0 2 0
1 0 2
0 0 0
0 0 2
0 1 2
10 3
2 1 0
3 3 0
3 3 3
2 0 2
2 3 3
3 0 0
3 0 1
1 3 1
3 0 2
2 1 3
10 5
0 0 3
0 3 3
2 0 3
3 0 3
1 3 3
2 0 2
3 1 0
1 0 2
2 2 2
2 2 0
10 5
1 1 0
2 2 0
2 0 0
0 1 1
2 1 2
0 2 2
1 0 2
2 2 1
0 0 2
1 1 1
10 7
2 2 0
1 0 2
0 2 1
0 1 1
0 0 2
0 0 1
1 0 0
2 2 2
0 2 2
2 1 1
10 3
2 1 0
1 3 3
2 2 1
1 2 3
0 1 0
2 0 0
3 3 2
2 3 0
2 2 2
1 2 2
10 8
2 2 0
2 2 2
1 2 1
2 1 2
1 1 1
0 0 2
0 1 2
2 1 1
1 2 2
0 1 1
10 7
2 0 0
0 2 0
0 0 2
0 2 2
2 0 1
2 1 0
1 1 2
0 2 1
0 0 0
1 2 2
10 4
1 1 2
1 0 1
0 0 2
0 2 2
2 0 0
0 0 1
2 1 1
2 2 2
0 1 2
0 1 1
10 4
1 2 2
0 1 1
3 0 0
2 2 0
0 3 1
3 1 2
2 0 0
0 0 2
0 2 3
3 2 3
10 5
0 1 2
1 3 3
2 3 2
1 2 2
1 0 3
2 2 3
1 3 0
0 0 3
0 3 1
1 3 2
10 6
3 3 3
3 3 1
3 3 2
2 3 3
2 3 1
0 2 0
0 0 2
0 1 0
1 1 1
0 1 3
10 5
1 0 0
2 2 2
2 2 1
1 1 1
1 1 0
0 0 0
0 0 2
2 2 0
2 0 2
1 2 2
10 7
3 2 1
2 3 2
3 0 2
1 1 2
3 3 3
2 1 2
2 2 0
3 2 2
3 1 3
1 0 1
10 7
0 3 0
3 3 1
2 3 0
1 2 0
2 0 3
2 2 1
2 2 3
1 1 1
0 3 3
2 1 3
10 7
1 1 0
2 0 1
2 2 2
0 2 2
0 0 2
0 2 1
1 2 1
0 2 0
1 1 2
0 1 2
10 8
3 3 2
1 3 3
2 3 0
0 0 1
0 1 0
3 3 0
2 2 2
3 2 1
3 2 3
0 3 3
10 4
2 1 0
0 2 0
1 1 1
1 1 2
2 2 1
2 0 0
0 0 2
0 0 0
2 0 2
1 2 2
10 3
1 2 2
1 2 0
1 1 2
2 2 1
0 2 0
2 0 2
0 0 0
1 1 0
1 2 1
0 2 1
10 3
1 0 2
2 0 2
0 2 1
2 2 2
1 1 1
2 2 1
1 0 0
0 2 0
2 1 1
1 2 0
10 6
0 0 3
1 0 1
0 2 2
0 1 0
1 0 2
2 3 0
2 0 1
1 1 2
0 2 3
2 3 2
10 9
1 1 0
2 1 0
0 0 2
0 1 1
0 0 0
0 1 2
0 2 2
1 2 0
2 1 1
1 0 0
10 9
1 0 3
1 2 0
0 3 3
1 1 2
0 1 0
0 0 1
1 0 1
3 2 1
0 0 3
2 0 3
10 9
2 2 1
2 1 1
2 1 2
2 0 0
1 2 0
0 2 1
1 0 0
1 0 1
1 1 1
1 2 1
10 6
2 2 2
0 0 0
1 1 0
0 2 1
0 3 2
2 2 3
2 0 3
1 3 1
3 0 0
1 0 2
10 2
0 1 0
1 2 2
0 2 1
0 0 0
2 0 2
0 0 1
2 1 0
1 1 1
0 1 1
2 1 1
10 9
0 1 1
0 2 2
0 0 2
0 1 0
1 0 0
2 1 0
2 0 2
0 2 0
0 2 1
2 1 2
10 4
0 0 0
1 1 1
1 2 1
3 3 2
3 1 2
1 2 3
1 0 3
1 0 0
0 0 1
0 2 0
10 3
1 2 1
1 0 0
1 1 1
1 2 2
2 2 2
2 1 0
1 1 2
2 0 2
0 2 0
0 0 1
10 9
1 2 0
0 1 0
0 0 3
1 2 3
0 0 2
0 2 3
3 3 1
3 2 3
2 0 3
2 3 2
10 2
3 1 0
1 3 2
3 2 1
2 2 3
0 3 3
1 0 2
1 2 3
2 0 1
0 2 2
2 1 3
10 5
2 3 2
1 1 3
1 3 1
2 3 1
1 2 2
3 2 1
0 1 0
1 2 0
1 1 0
1 2 3
10 3
1 3 0
2 1 2
1 2 3
0 2 2
0 2 3
0 1 0
3 0 3
3 1 2
0 2 0
0 1 3
10 5
0 3 0
0 1 0
0 0 0
0 1 1
0 2 2
0 3 2
0 0 3
2 3 1
3 2 2
1 3 0
10 6
3 2 1
0 0 1
3 1 1
0 1 1
3 3 0
0 0 0
1 2 2
3 0 2
2 1 0
0 2 3
10 3
1 3 0
2 0 0
1 3 3
3 2 0
2 2 2
0 3 1
2 3 2
3 3 3
0 1 1
1 0 3
10 9
0 1 0
0 1 2
2 0 0
2 2 0
1 0 0
2 0 2
2 2 1
0 2 1
2 2 2
0 1 1
10 4
1 1 0
1 0 0
1 0 2
1 1 1
2 2 1
2 1 2
2 0 2
2 1 0
2 2 0
0 0 0
10 7
1 2 0
2 2 0
1 2 1
2 2 1
0 2 2
2 2 2
2 1 2
1 2 2
1 1 0
0 0 2
10 4
1 3 0
3 2 2
1 2 3
2 2 0
0 1 3
1 1 3
2 3 3
3 3 3
1 3 3
0 3 2
10 6
3 1 2
0 0 1
1 0 3
0 3 3
1 3 2
0 0 2
1 2 2
2 1 0
3 1 0
2 1 1
10 4
1 1 0
0 0 1
1 2 0
1 2 2
0 2 1
2 2 0
2 2 1
0 2 0
1 0 1
2 1 1
10 6
2 2 2
1 3 2
0 0 2
3 1 2
3 0 3
2 1 2
0 1 2
3 2 1
2 0 2
1 3 1
10 8
1 0 2
3 0 1
3 1 2
2 1 3
3 1 0
2 1 1
0 3 2
2 1 0
3 2 3
3 2 0
10 5
0 2 2
0 0 2
1 2 0
2 0 0
2 2 1
1 1 2
1 0 1
1 0 2
1 1 1
0 0 0
10 8
0 1 1
1 0 0
1 1 0
2 1 2
2 1 1
1 2 2
1 0 2
1 1 2
2 2 0
2 0 0
10 4
1 2 1
1 0 2
2 0 0
1 1 1
2 0 2
2 2 2
1 2 0
0 2 1
1 0 1
1 2 2
10 5
0 3 0
0 3 1
3 1 3
2 3 1
1 1 0
2 2 3
1 3 1
0 2 3
2 3 2
2 2 2
10 2
1 2 1
0 2 0
2 2 1
0 0 0
2 0 1
0 2 2
1 2 2
1 2 0
2 1 1
0 0 1
10 9
2 0 2
0 0 1
1 1 0
1 0 1
0 0 0
0 1 0
0 2 0
1 1 1
1 0 0
2 2 0
10 5
0 2 2
2 0 0
0 1 2
0 0 2
0 2 0
1 1 1
1 0 2
1 2 2
2 0 1
0 1 0
10 8
2 1 0
0 2 2
2 2 1
0 2 1
2 0 1
1 1 0
2 0 0
1 2 2
0 1 0
1 0 2
10 2
0 0 2
2 1 0
2 1 1
2 0 1
0 2 0
1 1 2
0 1 0
2 0 0
0 0 1
2 0 2
10 3
2 0 2
0 0 2
2 1 2
1 0 0
0 2 0
1 2 1
2 1 1
0 2 1
1 1 0
0 1 2
10 4
1 1 2
1 2 3
2 0 1
2 1 0
3 0 0
2 2 3
0 3 0
0 0 2
0 1 3
0 2 3
10 6
1 2 3
3 3 1
2 0 0
0 3 0
0 3 1
2 2 3
3 2 1
0 1 2
1 3 2
1 3 0
10 4
2 1 0
2 2 1
1 1 2
0 1 1
0 0 2
0 0 1
2 0 1
1 1 1
1 0 2
1 1 0
10 9
0 0 0
0 2 2
0 1 2
2 0 2
1 2 1
1 1 0
2 2 1
1 2 2
0 0 1
2 1 0
10 9
0 3 3
3 2 0
3 2 3
0 2 1
2 0 2
0 2 3
0 3 1
3 1 2
0 1 2
1 1 0
10 7
3 0 0
0 2 1
3 2 2
0 0 2
2 1 1
0 0 1
0 2 0
1 2 2
3 1 0
2 0 0
10 3
1 1 1
0 0 1
2 1 1
0 0 2
3 1 2
0 3 3
2 2 1
0 2 1
1 0 3
1 3 0
10 6
0 0 1
0 1 1
2 0 2
0 0 2
1 2 2
2 1 0
1 0 1
2 1 2
2 2 2
1 1 0
10 2
0 0 3
2 0 0
3 0 0
2 3 1
1 0 1
1 0 2
2 1 1
3 3 1
3 2 1
2 2 3
10 6
2 0 0
1 1 0
2 0 1
0 1 1
2 1 2
1 1 2
0 0 0
2 2 2
1 2 1
1 2 2
10 5
2 3 2
0 1 1
0 3 1
1 1 0
0 0 0
3 2 2
2 3 1
3 1 2
3 2 0
1 1 2
10 3
1 0 0
1 0 2
2 1 1
2 1 2
1 2 0
2 0 2
1 2 1
2 2 2
1 1 0
0 0 0
10 8
1 3 3
2 1 0
2 0 2
0 0 1
2 0 1
3 2 1
1 3 1
2 3 1
1 1 0
3 2 3
10 4
0 1 3
2 3 2
1 1 0
3 0 2
2 1 3
1 0 3
2 1 0
2 0 3
3 3 1
1 0 2
10 7
3 3 3
0 1 1
1 0 3
2 0 3
1 0 1
3 3 1
1 0 2
1 1 0
2 0 0
2 1 2
10 6
0 0 2
0 2 2
1 1 1
1 0 2
0 2 0
2 1 2
2 1 1
2 1 0
2 2 0
2 2 2
10 7
2 0 2
2 0 1
1 0 1
0 2 1
2 2 0
2 1 2
1 1 0
2 0 0
2 1 0
0 1 1
10 6
2 2 2
2 2 3
2 0 3
0 1 1
0 3 2
1 1 1
3 0 1
0 0 3
3 2 2
3 3 0
10 2
0 0 2
0 0 1
2 1 0
2 0 2
1 0 0
2 2 1
1 0 2
2 1 2
2 2 2
0 2 0
10 7
1 1 2
0 2 1
2 0 2
2 0 0
0 1 0
2 0 1
2 2 1
1 1 1
0 2 2
0 2 0
10 9
1 0 1
1 2 0
2 2 2
1 0 0
1 1 2
2 1 1
0 0 1
1 0 2
2 1 2
2 1 0
10 9
2 2 2
0 2 2
1 2 2
1 2 0
2 1 1
2 0 0
2 1 2
2 1 0
2 2 1
1 1 0
10 7
3 0 1
2 1 3
0 0 0
0 2 0
2 3 1
2 2 1
2 0 1
3 2 0
0 1 1
1 2 3
10 3
0 1 0
0 2 1
2 1 1
1 2 2
0 2 2
0 0 0
1 2 1
0 1 2
2 0 2
0 0 1
10 5
0 2 0
0 1 2
0 0 2
1 1 2
0 0 1
1 0 2
2 1 2
1 0 0
1 2 2
2 1 0
10 7
1 2 1
1 0 0
3 3 2
2 1 0
1 0 2
3 0 0
2 3 0
3 2 0
0 0 2
0 2 2
10 2
2 3 3
1 0 0
0 1 2
2 1 0
1 2 3
0 2 0
3 2 1
1 1 1
3 0 2
3 1 1
10 5
0 1 1
1 0 2
1 1 1
0 3 1
1 0 3
3 1 0
1 1 3
3 3 3
0 1 3
1 3 0
10 8
2 1 2
1 2 2
1 2 1
1 1 2
0 2 2
0 1 0
2 0 2
2 2 1
2 1 0
0 1 1
10 6
2 0 2
2 2 2
1 0 0
1 2 1
1 2 0
0 2 0
0 0 2
0 1 0
0 0 1
1 1 0
10 3
1 0 1
1 2 0
2 2 2
0 0 2
0 0 0
3 3 0
2 1 1
0 0 1
3 2 0
3 1 1
10 6
0 0 1
1 3 2
0 3 3
1 0 2
1 1 3
3 1 2
2 1 2
1 0 3
1 3 3
3 1 3
10 9
2 1 0
3 2 1
0 1 2
0 1 3
3 1 0
2 2 2
1 0 0
2 2 3
3 3 1
1 1 1
10 9
1 2 0
1 1 0
0 0 1
2 2 1
2 1 2
2 0 2
2 0 1
2 2 2
0 1 1
2 2 0
10 9
1 2 0
1 0 1
2 1 2
2 1 0
0 0 0
1 0 0
2 2 1
0 2 2
0 1 0
0 0 1
10 4
3 0 2
0 0 3
2 1 2
2 2 2
3 2 0
3 1 0
3 3 1
1 3 0
2 2 3
1 3 2
10 2
0 0 2
1 3 2
1 3 1
1 1 3
1 2 2
3 1 1
0 3 2
1 3 0
0 0 1
2 1 1
10 8
0 1 1
2 2 1
1 1 0
2 1 0
0 0 2
2 1 1
0 0 1
2 0 1
1 2 1
2 0 2
10 5
0 3 1
2 0 0
3 3 2
0 2 3
0 3 0
2 3 3
2 3 0
0 2 0
2 2 2
1 0 3
10 4
3 3 1
1 2 2
2 0 3
0 3 0
1 1 2
1 0 2
3 3 3
1 1 3
3 2 3
1 0 1
10 3
3 1 1
2 1 3
3 2 3
0 2 3
1 3 1
1 0 2
1 2 1
0 1 3
2 2 3
2 1 0
10 5
0 1 2
0 2 2
1 0 0
3 3 3
1 1 3
2 0 3
1 3 2
0 1 0
1 1 0
1 2 2
10 7
0 3 1
3 3 3
0 2 1
1 1 1
1 3 3
3 2 3
1 2 3
0 3 3
1 3 1
3 1 2
10 3
2 2 1
2 0 2
2 2 0
2 3 3
1 2 1
0 2 0
0 3 1
1 1 0
0 3 0
2 0 3
10 2
0 0 1
0 2 0
2 1 2
0 1 2
1 0 0
0 0 0
1 2 2
2 2 1
2 1 1
1 0 2
10 6
1 0 3
2 2 2
3 0 3
2 1 3
2 3 1
0 2 1
2 2 1
0 0 1
3 1 1
1 3 1
10 9
1 0 2
3 1 1
3 3 0
3 2 1
3 3 1
0 3 0
2 1 1
0 1 3
2 2 2
1 2 2
10 6
1 1 1
2 2 1
1 2 1
1 0 2
2 1 2
0 1 0
0 2 1
1 2 2
0 0 1
2 1 1
10 4
1 1 0
1 0 1
2 2 2
2 1 2
0 1 1
0 1 0
1 1 2
1 2 0
1 1 1
2 1 1
10 9
1 3 1
3 0 2
3 3 0
2 3 1
3 1 3
3 3 1
0 0 2
3 1 0
1 3 0
2 2 2
10 9
3 0 1
3 2 1
3 0 2
2 3 0
2 0 1
0 2 1
1 1 0
2 2 1
3 2 0
3 3 0
10 3
0 0 2
3 1 2
0 3 3
1 0 3
1 3 0
1 1 0
1 1 2
1 0 1
1 2 0
0 1 1
10 8
0 2 3
2 0 3
1 2 3
1 0 0
3 3 3
0 1 1
3 3 0
3 1 1
2 0 0
0 2 1
10 5
2 1 2
0 0 2
1 0 2
2 2 1
1 2 1
1 2 0
0 1 2
2 0 0
1 0 1
2 0 1
10 3
1 0 1
2 2 0
1 2 0
0 2 1
2 0 2
1 1 2
0 1 2
1 0 0
1 2 1
1 0 2
10 4
0 2 0
2 0 1
3 1 1
0 3 2
1 1 3
2 1 3
0 3 3
1 2 1
0 2 1
1 2 3
10 4
3 2 0
2 2 1
3 2 3
0 0 2
2 0 0
2 3 0
0 0 1
0 2 2
3 0 2
2 1 1
10 5
1 2 2
2 1 1
1 1 2
2 2 1
1 1 0
1 1 1
0 0 0
0 1 1
2 0 2
0 0 2
10 3
1 0 2
1 0 1
2 2 1
1 0 0
2 0 2
2 0 0
2 1 0
1 2 1
1 1 1
1 1 2
10 6
1 2 1
0 0 0
0 1 2
1 0 2
0 2 1
2 0 1
0 1 0
2 2 2
0 1 1
2 1 1
10 4
2 0 1
1 1 1
1 3 1
2 1 2
1 0 2
3 1 3
0 3 1
0 0 2
3 2 2
2 2 1
10 2
0 2 1
1 2 1
2 1 2
1 1 0
0 1 1
0 1 2
1 0 1
2 1 0
0 0 1
2 0 1
10 3
0 2 1
1 0 0
0 1 0
0 0 1
1 1 1
0 0 0
2 0 1
0 1 2
1 2 0
0 1 1
10 8
2 0 3
0 3 3
1 2 3
0 2 1
0 2 2
0 3 1
3 0 2
1 1 0
0 0 1
1 1 1
10 3
2 1 1
1 3 1
3 1 3
0 1 3
2 3 3
0 0 0
1 1 0
2 2 2
2 1 0
0 1 0
10 5
2 1 1
0 0 2
1 1 1
2 0 1
2 0 0
2 0 2
0 1 2
1 2 1
0 2 1
0 0 0
10 6
3 1 1
0 3 1
0 1 3
2 1 2
2 3 0
0 0 3
1 0 1
1 2 2
3 0 3
0 2 3
10 2
1 1 0
2 2 2
0 2 0
1 1 1
2 1 1
0 2 1
2 2 1
1 0 2
2 1 2
2 1 0
10 4
2 0 0
3 1 3
1 0 2
3 3 1
2 1 2
3 2 1
3 1 1
2 2 3
1 1 3
2 3 0
10 4
1 0 3
3 0 2
0 0 0
0 3 2
3 0 0
1 3 2
0 2 0
0 1 0
1 2 0
2 1 2
10 6
0 2 1
2 0 3
1 2 3
3 0 2
2 2 0
2 1 3
1 2 1
3 1 3
0 1 3
1 3 3
10 4
2 2 1
2 2 0
1 1 0
1 2 2
2 1 1
0 2 1
0 2 0
0 0 1
2 0 1
0 0 2
10 2
1 0 0
1 1 1
0 3 3
3 3 0
0 3 0
0 2 1
0 3 1
3 0 1
0 0 2
3 2 3
10 6
2 1 0
1 3 1
3 0 3
3 2 0
1 1 2
0 1 1
2 3 3
0 3 0
0 0 1
3 2 1
10 2
1 0 0
1 1 1
1 1 0
0 1 1
2 1 0
2 2 2
2 0 2
0 0 1
2 2 0
1 0 2
10 5
0 2 3
2 0 2
1 3 2
1 0 3
0 3 0
2 1 2
1 2 2
0 2 1
3 1 3
1 1 2
10 9
1 0 2
0 0 2
1 0 1
1 2 1
2 2 1
1 1 1
0 2 1
1 1 0
2 2 2
2 1 0
10 7
1 0 2
1 1 0
2 0 0
1 2 0
1 0 0
0 1 1
0 0 0
2 0 2
0 1 2
2 1 2
10 7
1 0 0
2 1 1
3 0 2
2 2 3
1 0 3
1 3 3
3 1 2
1 2 2
3 0 3
0 1 3
10 5
2 0 2
1 3 1
2 0 1
0 3 2
1 2 0
1 0 2
3 0 2
2 2 3
1 3 2
1 1 3
10 6
0 1 2
2 0 2
1 1 1
2 0 1
1 0 1
2 2 1
1 2 0
0 2 1
1 0 0
0 0 0
10 2
3 1 1
1 0 3
0 3 3
2 1 3
3 1 2
1 1 3
0 3 1
0 0 3
1 2 1
2 0 3
10 9
2 0 0
2 2 2
2 0 1
0 2 1
0 2 0
0 0 0
0 2 2
1 2 0
2 2 1
1 1 2
10 9
0 0 1
2 2 0
0 1 0
2 1 1
0 1 1
1 0 2
1 2 0
1 1 2
2 1 2
0 2 1
10 6
1 2 1
1 2 0
2 2 1
2 2 2
0 2 2
1 1 0
0 1 1
0 0 0
1 0 1
1 2 2
10 6
2 0 1
2 3 1
2 3 3
2 0 3
3 2 3
0 0 3
3 0 3
2 1 0
2 2 3
1 0 1
10 9
0 1 1
1 0 0
2 1 2
1 1 2
1 1 1
0 0 0
0 0 1
0 2 0
2 1 1
1 0 1
10 4
1 1 2
2 2 0
2 0 1
1 0 0
0 0 0
0 1 0
1 0 1
0 0 1
1 2 0
1 1 1
10 2
3 0 1
0 0 1
3 2 0
3 0 0
2 2 0
2 1 3
3 3 2
1 1 2
2 0 2
2 1 1
10 4
0 2 0
0 0 1
2 2 1
0 1 0
0 2 1
0 0 2
0 2 2
1 2 0
1 1 0
1 0 1
10 9
2 1 3
2 1 0
2 0 3
3 0 3
3 3 0
3 2 0
0 3 0
3 1 2
0 3 3
2 3 0
10 3
3 1 1
1 1 1
3 2 1
2 2 1
2 1 3
2 3 1
2 1 0
2 0 0
3 2 3
3 1 0
10 2
3 0 2
1 2 1
2 0 0
0 0 1
0 0 3
2 1 1
3 2 2
1 1 2
3 0 1
2 3 1
10 8
0 0 0
2 2 2
1 2 0
2 0 1
1 0 1
2 0 2
0 2 1
2 1 0
0 1 2
1 0 2
10 3
2 0 2
1 2 1
2 1 2
0 2 1
0 1 0
2 1 1
0 1 1
0 0 0
1 0 0
1 1 1
10 6
0 2 2
2 1 1
1 0 3
3 2 3
1 1 2
0 0 0
2 1 3
0 0 2
0 2 3
3 0 1
10 7
1 1 0
0 0 1
0 1 1
0 0 0
2 2 0
0 2 0
2 2 1
0 2 2
2 2 2
1 2 0
10 9
2 3 3
3 1 3
1 2 0
1 1 3
3 0 1
2 1 3
3 2 3
3 3 1
0 2 3
2 3 1
10 9
0 0 1
1 0 3
2 0 3
3 2 2
2 0 2
1 3 1
2 1 0
1 1 3
2 1 3
3 3 2
10 8
1 0 1
1 2 1
0 0 0
2 2 2
1 1 2
1 0 0
2 0 1
0 2 0
2 1 0
2 1 2
10 5
3 3 0
1 3 0
3 2 3
1 3 2
0 0 1
3 0 2
3 0 0
2 1 3
1 1 0
3 2 0
10 9
2 1 2
1 1 1
1 2 0
2 0 0
1 2 2
0 2 2
1 0 1
2 0 2
1 1 2
0 2 0
10 9
0 1 1
2 1 2
1 0 2
2 2 2
1 2 2
0 0 0
2 2 0
2 2 1
0 1 2
1 0 0
10 6
2 3 2
0 0 2
2 2 1
0 2 0
3 2 1
3 3 3
0 2 2
1 1 2
3 2 0
0 1 1
10 8
1 0 1
2 1 2
0 2 2
0 1 0
2 2 0
0 2 0
0 1 1
1 2 0
2 0 2
2 0 0
10 6
3 1 1
1 3 1
3 0 3
2 2 2
1 1 0
3 2 0
2 3 3
3 1 2
1 2 1
1 1 2
10 8
2 2 1
0 2 0
2 0 2
0 0 1
2 0 0
0 1 0
0 0 2
1 2 1
1 0 0
2 1 0
10 5
1 2 2
3 1 3
3 2 2
0 1 1
1 0 1
3 3 1
2 0 3
1 2 1
1 3 2
1 1 1
10 6
2 2 2
1 0 1
3 1 3
1 0 3
1 1 0
1 3 1
1 1 1
2 1 0
3 0 2
3 0 0
10 4
3 2 0
1 1 0
2 0 3
0 0 1
0 0 2
2 1 1
0 3 1
0 1 2
1 1 1
3 1 2
10 2
2 2 0
1 2 0
0 1 2
0 2 2
0 2 0
0 1 0
2 1 1
0 0 0
1 2 1
0 1 1
10 2
1 1 1
1 0 2
2 0 0
0 2 2
0 0 0
2 1 0
0 2 1
0 0 2
0 1 1
1 0 0
10 4
2 2 2
1 1 2
0 3 0
1 3 3
1 0 1
0 2 3
2 0 3
1 0 2
1 3 2
0 2 1
10 4
3 1 2
3 0 3
3 0 2
2 0 3
3 3 2
2 2 0
0 0 2
3 0 1
3 1 1
3 3 0
10 4
1 1 0
1 1 1
0 2 2
2 2 2
1 0 2
1 2 2
0 1 1
1 1 2
0 0 0
2 1 2
10 2
2 2 1
2 2 2
0 0 2
0 2 1
2 0 0
1 2 2
2 1 2
0 1 2
2 0 1
1 2 1
10 4
3 0 3
1 0 2
0 3 0
0 0 0
3 2 1
2 3 2
0 0 3
3 1 2
2 2 3
3 2 3
10 5
3 0 2
2 1 3
0 0 1
3 3 3
1 2 3
0 3 1
3 2 0
3 0 0
0 3 2
3 3 0
10 6
0 0 0
1 0 1
2 0 0
1 1 1
2 0 1
1 0 2
0 2 2
0 0 2
0 2 1
2 0 2
10 9
2 1 2
2 2 2
2 0 1
1 0 0
1 1 2
1 0 1
1 1 0
1 2 1
0 2 0
0 1 2
10 3
2 2 0
0 2 1
2 2 1
0 1 0
0 0 2
1 0 1
0 2 0
2 0 2
2 0 0
2 1 1
10 8
1 0 0
0 1 0
1 0 1
2 2 1
2 1 1
1 0 2
1 1 2
0 0 2
0 1 2
2 0 0
10 4
1 0 0
0 2 2
0 1 0
1 2 1
1 0 2
0 1 2
1 1 2
1 2 0
2 2 2
1 1 0
10 7
2 1 0
1 2 2
1 1 1
0 2 1
1 0 2
2 1 2
2 2 1
0 2 2
1 0 0
1 1 2
10 5
0 0 0
3 2 1
0 0 2
0 3 0
2 3 2
2 2 3
0 1 0
0 1 2
1 0 3
2 2 2
10 4
2 2 3
1 1 1
0 3 3
2 2 1
1 1 2
2 3 3
3 0 2
3 3 1
2 0 3
0 1 1
10 2
1 0 2
3 0 3
1 0 0
0 1 3
1 2 0
0 0 2
3 3 3
0 0 0
3 0 2
2 2 1
10 4
1 0 1
0 3 3
1 3 3
2 1 1
3 3 2
2 0 2
1 3 1
0 1 2
0 2 2
1 2 3
10 8
3 2 0
0 3 0
0 0 2
0 3 3
3 3 2
2 2 2
2 2 0
0 0 3
2 2 1
2 0 3
10 9
1 0 2
1 1 1
1 2 3
1 3 2
3 2 0
2 0 2
0 3 0
3 3 0
2 0 3
0 1 1
10 5
1 2 1
0 0 1
1 0 1
2 1 0
0 1 1
0 2 0
2 0 2
2 0 0
2 1 1
0 1 2
10 7
3 3 2
1 3 2
1 0 1
1 3 3
3 2 0
3 3 1
0 3 1
2 0 0
2 3 1
3 1 1
10 5
3 0 1
2 0 2
1 0 3
2 1 2
0 2 0
3 1 2
0 3 0
3 2 1
0 1 2
0 2 2
10 4
0 3 0
3 1 3
1 1 1
0 2 3
2 2 2
2 1 2
2 0 2
1 3 1
0 1 3
3 3 1
10 6
1 0 1
2 0 1
0 1 2
0 0 0
0 2 1
1 2 0
0 1 1
0 0 1
2 1 0
1 2 1
10 4
2 0 2
2 1 3
3 1 2
2 0 0
1 2 2
0 3 3
3 2 1
0 1 3
2 2 0
3 3 0
10 9
2 2 2
1 0 0
1 1 1
2 0 1
2 1 1
1 2 1
1 2 2
0 2 0
1 0 1
0 1 0
10 6
1 0 1
1 2 0
1 1 0
0 1 2
1 0 2
0 1 1
1 1 2
1 2 2
1 2 1
0 0 1
10 7
0 3 2
3 2 3
2 1 2
0 1 0
2 3 1
0 0 3
3 1 0
2 0 3
0 3 3
2 2 0
10 6
3 0 3
0 0 3
2 2 0
0 1 0
1 2 0
3 0 0
3 0 1
2 1 0
1 2 1
0 3 1
10 3
1 2 0
0 2 1
3 2 0
0 1 2
0 1 3
0 2 2
1 3 2
3 3 2
0 3 1
0 3 0
10 6
2 1 0
3 1 1
2 2 1
1 0 2
1 0 0
3 0 2
0 0 1
1 0 3
3 1 2
1 3 1
10 3
1 1 0
1 2 0
2 0 1
1 2 1
0 0 1
2 2 1
2 2 0
1 1 1
0 0 2
2 0 0
10 7
0 1 2
0 2 1
0 1 0
2 1 0
1 0 1
2 2 1
2 2 0
0 1 1
1 2 1
0 0 0
10 5
1 2 0
1 0 2
2 2 0
1 1 1
1 0 0
0 0 2
0 1 0
2 0 0
0 2 2
0 2 1
10 4
2 2 2
0 2 1
0 1 1
1 2 1
0 2 0
2 2 0
2 1 2
1 2 0
1 1 2
0 0 2
10 7
3 0 0
3 1 1
3 1 3
1 0 2
3 2 0
3 2 1
2 1 0
1 3 0
3 0 3
3 3 1
10 7
1 1 3
2 0 2
2 3 1
0 2 1
3 0 3
1 2 1
2 0 3
3 1 2
1 3 0
1 1 0
10 4
1 2 1
2 0 1
0 0 0
0 0 2
0 1 1
0 0 1
2 0 2
1 0 1
0 2 2
1 2 2
10 4
2 0 2
2 2 2
1 0 0
2 0 0
0 1 1
2 2 1
2 1 1
0 1 0
0 0 1
2 0 1
10 5
2 3 0
1 3 1
0 2 3
3 1 0
3 1 2
3 2 2
2 1 2
3 2 1
0 3 3
0 1 1
10 2
0 0 1
1 2 0
2 1 2
0 2 2
2 2 1
2 2 0
0 2 1
0 1 0
1 1 1
2 1 0
10 9
2 2 1
0 2 0
1 0 2
1 1 1
0 0 0
0 2 2
0 1 2
1 0 1
0 0 2
2 1 1
10 2
3 1 2
0 1 0
2 3 2
3 0 3
1 1 2
0 0 3
0 0 2
0 0 0
3 2 3
1 3 2
10 2
0 0 1
1 0 1
2 0 2
1 1 2
1 1 0
2 0 1
0 0 2
0 1 1
1 0 2
2 2 1
10 4
1 2 0
0 1 1
2 2 2
3 3 0
0 3 0
3 3 3
2 0 1
1 2 3
0 3 2
1 0 3
10 2
1 2 1
0 2 2
0 2 0
1 0 1
2 1 2
2 2 2
0 0 0
0 1 2
2 2 1
1 1 2
10 8
3 2 0
2 1 3
2 0 2
2 1 1
0 1 3
1 3 0
1 2 1
1 1 3
3 1 2
0 0 0
10 4
2 1 1
0 1 2
1 0 2
1 0 0
2 2 0
1 1 1
2 2 2
0 2 1
0 1 1
0 2 2
10 5
3 2 0
3 0 0
1 1 1
0 2 0
1 0 1
3 2 3
1 0 0
1 2 1
0 0 2
2 3 3
10 7
0 2 1
2 1 2
2 2 1
1 0 1
1 1 0
1 2 1
0 1 0
2 0 0
2 0 1
0 2 0
10 3
3 3 3
0 0 0
0 2 0
1 1 0
0 1 0
3 3 0
3 3 2
1 0 2
1 0 1
1 3 3
10 7
1 3 1
1 0 0
0 1 2
0 3 3
1 3 3
3 1 2
3 3 0
0 0 2
2 3 1
3 0 0
10 2
0 1 1
0 1 0
2 0 2
0 2 1
3 3 1
1 2 1
1 0 3
3 2 1
2 3 1
3 3 3
10 5
3 1 0
1 1 1
2 0 1
2 3 0
2 0 3
3 1 3
1 2 2
2 3 1
2 0 0
1 3 0
10 8
1 2 0
2 2 0
0 2 1
2 1 0
2 1 1
2 2 2
1 0 0
2 0 2
0 1 0
1 2 2
10 9
2 0 1
2 0 0
1 1 0
1 0 2
0 2 1
0 1 0
1 2 2
2 1 1
1 0 1
1 1 1
10 7
2 0 2
2 0 0
1 1 1
1 1 3
3 0 1
3 1 1
1 3 3
1 2 3
0 3 1
2 0 1
10 5
1 0 0
2 0 0
1 1 0
2 2 0
1 1 1
2 2 2
0 2 0
0 1 1
1 0 2
0 1 2
10 3
1 2 3
1 2 1
2 3 0
0 0 3
2 0 1
0 1 3
0 3 2
3 3 3
0 3 1
0 0 2
10 8
1 1 2
1 1 1
1 2 0
2 1 2
2 0 0
2 1 0
0 1 1
2 1 1
1 0 2
0 2 2
10 4
0 3 0
3 3 0
0 2 3
1 1 3
1 0 1
3 3 2
1 1 1
2 3 1
2 1 3
1 0 2
10 7
1 2 0
3 3 1
2 3 1
1 1 1
3 3 2
3 1 2
0 1 1
3 2 0
2 3 3
1 1 3
10 3
3 3 1
3 2 0
2 3 1
2 2 0
0 3 2
1 1 2
1 3 2
2 1 2
1 0 1
3 0 2
10 6
0 1 2
1 2 0
2 1 2
1 1 0
0 2 1
2 1 0
2 1 1
0 1 0
0 2 2
1 1 1
10 3
2 0 0
0 2 3
1 1 1
3 3 2
3 0 1
0 1 1
2 0 1
1 0 1
3 1 3
3 0 2
10 7
3 1 2
2 1 2
0 1 0
3 0 0
3 1 0
2 0 0
2 3 2
2 0 1
1 2 0
0 3 3
10 2
2 0 1
1 2 2
0 0 2
0 1 1
0 2 1
0 2 2
1 1 0
2 0 0
2 2 1
1 0 1
10 9
0 0 2
2 2 0
0 1 2
0 2 1
2 0 1
0 0 0
2 0 2
1 0 2
2 2 2
2 1 1
10 2
3 2 0
2 0 0
0 1 3
3 0 2
3 0 3
0 0 3
2 2 1
3 1 1
2 2 2
3 2 1
10 4
2 1 0
1 0 2
1 2 2
2 2 2
1 1 1
1 2 0
2 0 1
1 0 0
0 2 2
0 2 1
10 8
0 1 2
1 2 0
1 0 2
2 0 1
0 2 2
0 2 1
2 2 1
2 1 1
0 2 0
1 0 0
10 3
2 1 2
1 2 2
2 0 1
2 0 2
0 0 1
2 1 1
1 1 2
0 2 2
1 1 0
2 2 2
10 9
0 2 0
2 2 0
0 1 1
1 2 2
2 1 0
2 0 1
1 1 1
2 1 2
2 1 1
0 1 0
10 4
0 2 2
0 0 0
1 1 2
2 2 2
2 2 0
0 1 2
2 0 2
0 0 2
1 2 2
1 1 0
10 2
1 1 0
0 0 0
0 1 0
2 0 2
1 2 1
2 0 0
0 1 1
0 2 0
1 0 2
0 0 1
10 5
1 2 1
0 2 2
0 0 2
0 1 2
0 0 0
1 2 0
0 1 1
2 2 2
1 1 0
2 2 0
10 4
1 0 2
0 0 2
0 2 1
2 2 1
2 1 0
2 2 0
2 0 1
1 2 0
0 0 0
0 2 0
10 7
1 2 2
1 2 1
1 0 2
0 0 1
0 2 2
2 2 1
0 1 2
2 0 2
1 0 1
2 0 1
10 9
0 1 0
2 0 2
1 0 2
0 0 0
1 0 0
2 1 0
2 1 1
1 2 0
0 2 1
2 2 2
10 9
2 2 1
0 0 1
1 0 0
1 0 2
0 2 2
1 1 1
0 0 0
0 1 1
2 0 0
2 2 0
10 5
3 3 3
2 1 3
3 1 2
1 3 2
2 2 2
2 2 1
2 0 1
1 3 3
2 2 3
0 3 0
10 6
0 2 1
2 2 1
1 0 2
2 1 0
2 1 1
0 0 0
1 2 0
2 2 0
0 2 0
1 1 2
10 7
0 2 2
2 1 2
2 2 2
2 0 2
1 0 1
0 2 1
1 2 1
0 0 1
2 0 0
1 2 0
10 3
1 2 0
1 0 0
2 1 2
2 0 0
0 1 0
2 0 1
1 0 2
0 2 2
2 2 2
0 2 1
10 6
0 0 1
3 1 0
1 0 1
2 1 2
2 1 0
1 2 0
0 1 1
0 0 3
0 3 2
1 2 2
10 3
1 2 1
2 0 0
2 2 2
0 2 0
0 2 1
2 0 1
1 0 1
1 0 0
0 1 0
1 2 2
10 9
3 1 1
0 1 2
2 1 3
0 2 3
3 1 2
3 3 3
0 0 1
2 0 0
3 2 2
2 3 0
10 8
2 2 0
1 0 0
3 2 2
0 0 1
0 1 2
0 1 0
2 1 0
3 3 0
3 1 2
1 2 3
10 6
3 2 3
0 0 0
1 0 1
0 2 0
3 1 0
3 3 3
1 2 2
0 3 2
0 1 1
2 1 0
10 5
3 2 0
1 2 1
2 1 2
1 0 2
1 3 1
2 1 1
2 3 2
2 2 1
3 2 3
0 1 1
10 4
0 1 0
2 1 1
1 1 3
0 0 2
1 1 0
2 1 2
3 0 0
0 1 1
1 0 0
2 3 2
10 9
1 0 2
1 1 2
3 3 1
1 2 1
2 3 0
2 3 1
1 0 0
2 2 2
2 0 2
0 0 3
10 8
3 0 3
3 3 1
2 2 1
2 1 2
1 1 0
0 1 1
2 1 1
3 1 1
2 1 3
3 3 2
10 7
2 3 1
0 3 0
3 1 3
3 2 1
0 2 1
2 0 1
1 1 3
2 2 3
3 2 3
0 0 2
10 6
1 2 2
1 2 1
1 1 0
0 2 2
0 1 0
0 2 0
0 1 2
1 1 1
1 0 2
0 0 2
10 5
0 1 1
1 0 0
2 2 0
2 2 2
1 1 1
2 1 1
0 0 1
2 2 1
1 1 0
1 2 1
10 3
0 3 3
0 1 2
2 0 0
1 1 1
3 1 3
2 2 1
3 2 0
3 3 3
2 0 2
1 2 2
10 9
1 0 1
1 2 1
0 0 1
2 2 2
0 2 1
0 1 0
2 0 2
1 0 0
2 1 2
0 2 0
10 7
0 1 2
2 1 2
1 0 1
1 0 0
0 0 0
1 0 2
1 2 0
2 1 1
0 2 1
2 0 1
10 3
2 1 2
2 1 0
1 0 2
1 0 0
0 1 0
2 2 2
0 0 0
1 1 1
1 1 2
2 0 1
10 8
0 2 2
2 1 1
0 1 2
1 2 0
1 0 1
0 1 0
2 2 1
1 1 0
0 2 0
1 1 1
10 5
1 1 1
3 3 0
1 1 2
2 2 3
0 1 3
2 2 2
1 3 0
0 0 2
0 3 2
2 0 0
10 8
2 1 2
1 0 0
0 2 2
2 1 1
1 2 2
0 1 1
0 2 1
2 0 1
2 1 0
1 1 0
10 2
1 2 0
3 3 1
2 0 0
0 3 3
0 1 3
1 1 1
0 3 2
3 0 3
2 2 1
3 0 2
10 4
2 1 1
0 1 1
0 2 1
0 2 2
1 2 1
2 2 1
0 0 2
0 0 0
1 2 0
1 2 2
10 6
2 0 0
2 2 2
1 1 1
0 2 1
2 1 0
0 0 1
2 0 2
2 0 1
2 2 1
0 2 0
10 2
3 2 2
3 3 1
1 0 2
3 0 2
3 2 0
3 1 1
1 1 1
2 2 0
2 0 0
0 3 1
10 8
1 0 1
0 1 2
1 0 0
0 2 2
0 2 0
2 2 1
2 1 1
0 0 0
2 1 0
0 0 1
10 9
0 2 1
0 2 0
2 1 0
0 0 1
1 2 1
0 2 2
2 0 0
2 2 0
1 1 0
0 1 1
10 9
0 0 2
1 0 1
0 0 0
2 0 0
2 0 1
2 2 1
1 2 2
2 1 0
0 1 1
0 2 2
10 5
2 1 2
2 1 1
1 0 1
2 2 2
2 2 1
2 0 1
0 2 2
2 1 0
0 2 1
1 2 0
10 2
2 2 0
3 3 1
1 0 1
2 0 0
1 2 1
1 0 3
2 1 3
0 0 0
3 2 1
2 3 2
10 7
2 1 3
3 0 3
0 2 3
3 0 2
0 1 0
2 0 0
3 2 0
2 1 2
2 3 0
2 0 1
10 9
0 0 0
1 2 2
2 0 1
0 2 2
1 0 1
1 1 0
1 2 0
1 2 1
0 1 0
0 2 1
10 4
0 0 0
2 1 2
1 1 1
2 0 0
1 2 0
1 2 2
1 1 0
2 2 1
1 0 2
0 2 2
10 7
1 3 3
2 3 1
1 0 3
3 2 1
3 0 3
2 1 1
3 0 2
3 1 0
1 0 1
2 3 0
10 6
2 0 0
0 0 0
1 2 2
2 0 1
0 1 0
2 2 2
1 0 0
0 2 1
0 1 1
1 2 0
10 6
3 1 0
3 0 0
3 2 1
1 2 2
1 0 2
2 2 1
1 3 1
2 3 3
1 0 3
1 1 0
10 4
1 0 1
0 1 0
2 0 2
1 2 1
0 2 0
2 2 0
0 2 1
1 0 0
0 0 1
1 2 0
10 5
2 0 3
0 1 3
3 0 0
3 1 2
3 2 2
3 3 0
2 3 0
3 0 2
0 3 3
2 1 3
10 6
0 3 2
2 0 2
2 1 0
3 1 0
1 1 0
3 0 0
3 1 3
2 1 1
1 0 2
3 2 2
10 5
1 1 2
0 2 2
2 0 0
1 2 1
2 2 2
1 1 0
1 0 0
0 0 0
0 1 1
0 1 0
10 3
1 1 0
0 1 0
2 2 1
0 0 2
0 0 0
0 1 2
0 2 2
1 2 1
1 1 1
2 1 1
10 5
0 2 3
3 2 0
2 0 1
1 1 1
1 3 3
2 1 0
1 2 1
0 0 0
2 1 1
3 0 1
10 8
1 0 0
1 2 1
2 1 2
2 2 1
1 2 0
2 2 2
0 0 1
1 0 1
2 2 0
1 1 2
10 3
2 1 0
0 2 0
1 1 0
2 2 2
2 2 1
2 2 0
0 0 2
2 1 2
1 2 0
1 1 2
10 3
2 2 2
1 3 2
0 0 2
3 2 0
1 3 3
0 0 0
3 3 0
0 1 3
2 1 3
2 0 3
10 9
2 1 1
3 1 0
0 0 2
1 0 1
1 1 0
3 0 2
1 0 2
3 1 2
0 1 2
2 2 1
10 3
1 3 1
3 1 2
2 3 0
3 2 1
1 1 1
2 1 0
1 2 0
3 3 3
3 2 2
3 3 2
10 4
1 2 2
0 0 1
1 0 2
2 0 2
0 0 0
1 1 0
1 1 2
1 2 0
1 0 1
2 1 2
10 9
2 2 1
1 2 0
0 3 0
0 0 1
1 0 3
0 2 2
3 1 1
1 0 2
1 2 2
3 0 0
10 8
2 1 0
1 1 2
1 0 0
0 2 1
1 2 1
2 2 1
0 1 0
2 1 1
1 0 1
0 1 1
10 6
1 1 1
0 0 1
0 0 0
3 1 0
2 0 2
1 1 0
2 2 0
1 2 0
1 3 3
3 0 1
10 4
0 2 0
2 2 1
1 1 2
2 1 2
2 1 0
0 1 0
1 0 2
2 1 1
0 0 1
0 1 2
10 9
0 1 2
2 2 1
2 0 0
1 2 2
0 2 0
0 0 0
1 0 2
1 1 2
0 1 0
2 1 0
10 5
0 2 0
1 0 0
0 2 1
2 1 2
1 1 2
0 0 1
2 2 1
1 0 1
1 2 2
2 0 1
10 2
3 2 1
2 1 0
0 0 2
1 3 2
2 1 3
3 1 0
2 3 3
3 3 2
2 3 0
0 3 0
10 9
2 0 1
1 2 2
2 1 0
1 0 1
2 2 2
0 1 0
2 2 0
0 0 2
0 1 1
1 1 2
10 2
2 2 2
0 2 2
2 0 0
2 1 2
2 1 1
0 0 0
2 1 0
2 0 1
1 1 2
0 0 1
10 3
3 1 3
2 1 3
3 1 2
2 3 0
1 0 2
3 3 2
0 1 2
2 3 1
0 0 3
0 3 0
10 6
3 3 1
0 3 2
1 1 2
1 1 3
1 3 2
3 1 0
1 2 0
0 0 2
2 2 1
1 2 1
10 9
1 2 2
2 0 0
2 2 1
1 0 2
2 3 0
2 0 2
3 0 1
3 3 0
3 1 3
1 1 0
10 5
2 0 0
0 2 2
1 0 0
0 1 1
0 2 0
0 0 1
1 1 1
1 1 2
0 0 0
2 1 0
10 3
3 3 0
1 3 2
2 0 3
0 2 2
0 0 2
3 3 3
2 1 0
0 2 1
0 3 0
0 1 0
10 8
1 2 1
2 0 0
0 1 0
1 1 1
2 1 2
1 1 0
2 0 1
0 1 1
2 1 0
0 0 2
10 6
2 1 1
1 1 2
1 3 1
0 0 2
3 2 3
1 1 3
2 2 2
1 3 2
0 2 3
3 2 2
10 4
2 2 1
1 1 2
2 1 1
0 1 1
2 1 2
2 0 2
1 0 2
1 2 0
0 0 0
1 2 1
10 9
2 0 1
0 0 1
0 2 2
0 2 0
1 1 2
2 0 0
1 2 1
1 0 0
2 1 2
2 1 0
10 9
2 3 1
0 0 2
2 0 0
2 2 1
0 0 3
2 2 0
3 1 0
3 1 1
0 2 0
2 1 3
10 9
3 2 3
0 3 3
1 1 0
2 1 3
2 2 2
2 0 1
0 2 3
3 1 3
0 1 2
1 0 3
10 4
1 0 1
1 2 2
1 2 0
0 0 1
0 1 0
0 0 0
2 1 2
0 1 1
2 2 2
1 1 0
10 8
1 0 1
2 0 1
2 2 0
1 3 1
0 0 3
1 1 0
3 3 0
1 0 0
3 0 3
3 2 2
10 8
1 1 0
2 2 3
2 0 1
1 2 3
0 1 1
0 0 3
2 2 0
2 3 2
0 0 2
2 0 3
10 2
1 1 0
1 2 0
3 1 0
0 3 2
2 2 1
3 2 0
0 1 2
1 0 3
0 1 3
2 3 1
10 5
0 0 1
2 1 0
0 1 2
2 0 1
1 0 1
1 1 1
1 2 1
2 1 1
1 2 2
2 0 0
10 2
0 2 0
1 1 1
2 1 1
2 2 0
1 2 1
2 0 2
2 1 2
1 1 0
2 0 0
1 2 2
10 6
0 0 2
1 1 3
1 2 2
0 2 0
0 2 1
1 0 0
0 1 0
2 3 1
2 1 2
0 3 1
10 2
0 2 2
3 3 1
0 2 3
1 2 3
0 0 2
2 0 0
1 1 0
2 2 0
3 1 0
0 1 2
10 3
2 1 0
1 1 0
1 0 1
2 2 0
0 1 2
2 0 1
0 0 2
2 0 2
0 1 1
0 1 0
10 9
1 0 0
2 0 2
0 2 1
2 1 2
1 1 2
1 1 0
1 2 2
2 2 0
0 0 2
0 0 1
10 7
1 1 1
0 3 1
0 3 3
0 3 2
3 1 1
2 0 1
3 0 2
3 3 2
0 2 0
3 2 2
10 4
1 1 0
2 0 1
0 0 1
2 1 1
1 0 2
0 2 0
0 0 0
1 0 1
0 1 2
2 1 0
10 4
0 0 3
1 3 0
3 1 3
1 2 2
0 0 2
2 1 0
2 2 2
2 1 1
0 0 0
2 3 0
10 3
3 1 2
0 0 0
0 1 2
3 2 3
0 3 1
3 2 1
2 0 2
0 2 2
3 3 0
1 0 1
10 5
1 0 2
1 2 2
1 0 0
0 1 2
2 1 1
1 2 0
2 0 2
2 2 2
0 0 0
1 1 1
10 3
0 2 1
2 1 0
1 2 0
1 1 1
0 1 2
1 0 0
0 0 1
1 0 2
2 0 0
1 1 0
10 4
2 1 0
0 0 0
1 2 1
0 2 2
0 2 1
2 1 1
1 0 0
1 1 0
2 0 1
0 0 2
10 9
2 3 2
0 3 2
3 0 0
1 2 0
1 1 2
2 1 2
2 0 1
3 2 0
1 3 3
2 3 3
10 8
1 0 0
1 1 0
2 1 1
0 0 2
1 2 2
2 1 2
0 2 1
0 0 1
1 2 1
2 0 1
10 3
1 0 1
0 1 1
2 2 0
0 1 2
1 2 2
2 1 2
0 2 1
2 0 2
1 0 2
2 1 0
10 7
2 2 0
2 0 3
0 3 3
0 2 3
0 2 1
0 2 2
2 0 1
2 0 0
0 3 1
3 0 1
10 3
2 0 1
1 2 0
1 3 1
0 2 1
2 2 3
1 1 3
1 3 2
0 3 2
1 0 1
2 1 1
10 3
2 2 0
1 0 3
3 0 1
3 3 0
1 0 1
2 2 3
3 2 2
3 1 3
1 1 1
1 2 0
10 3
2 1 2
1 1 1
2 2 0
1 0 1
2 0 2
1 2 0
1 0 2
0 2 2
0 0 1
2 2 2
10 8
0 2 2
2 0 2
2 0 0
2 2 1
2 1 1
2 1 0
0 1 1
1 1 2
2 2 2
0 2 1
10 2
3 2 3
3 3 3
1 0 2
0 2 2
1 1 3
2 1 0
2 2 3
1 3 3
2 3 3
1 0 3
10 3
0 0 2
2 2 0
0 0 0
1 0 1
2 0 1
0 2 0
1 1 1
2 2 2
1 2 0
2 1 2
10 7
1 1 0
1 0 1
2 0 1
2 0 0
2 1 0
2 2 1
2 1 1
0 1 0
1 2 1
1 1 1
10 3
0 3 1
1 2 2
1 0 3
0 3 2
3 2 0
1 3 1
1 3 0
0 2 0
2 3 2
3 3 3
10 3
3 2 1
1 0 1
3 0 2
2 2 2
1 1 1
0 1 0
1 1 3
3 2 3
1 3 0
0 0 3
10 6
1 2 0
0 0 3
0 0 2
1 1 2
3 1 2
1 2 2
1 2 1
0 1 2
2 2 2
3 3 3
10 6
2 2 0
1 1 2
2 0 2
2 1 2
1 2 2
2 2 1
0 2 1
0 1 2
1 0 0
1 2 1
10 6
0 3 1
1 2 2
2 0 0
3 2 3
3 1 0
1 0 0
0 1 2
0 3 0
1 3 2
3 3 2
10 2
0 2 2
2 1 2
2 0 3
2 2 3
0 2 3
0 0 3
1 2 3
1 1 3
0 0 0
3 2 0
10 3
2 1 1
2 1 2
2 0 2
0 2 2
1 1 2
0 1 1
0 0 2
0 0 1
1 1 0
2 2 1
10 5
1 1 0
0 0 2
0 2 1
1 1 1
0 0 1
0 1 1
0 1 2
1 0 0
2 2 0
1 0 2
10 7
2 1 0
2 2 2
1 0 2
0 0 1
2 1 2
0 1 0
0 2 0
0 0 2
0 2 1
2 0 1
10 9
3 3 1
2 2 1
1 1 0
2 1 1
3 1 3
0 0 0
0 2 2
0 3 0
3 1 1
0 2 0
10 7
2 2 2
0 1 0
1 2 0
0 2 1
2 0 2
1 0 0
0 0 1
2 1 2
2 2 1
0 1 2
10 9
2 1 3
1 3 3
2 2 1
2 0 1
0 1 1
2 0 0
2 1 0
0 3 0
3 2 1
3 3 1
10 8
1 0 0
1 2 2
2 2 3
1 3 3
2 2 2
2 0 0
3 3 0
0 2 3
2 1 1
0 1 3
10 6
1 1 0
2 1 0
1 1 1
1 0 2
2 1 2
2 2 0
0 2 0
1 1 2
2 0 1
2 0 2
10 5
2 2 0
1 2 1
0 0 1
1 0 0
0 1 0
1 1 0
0 0 2
2 2 2
0 1 2
2 1 2
10 9
3 2 0
2 0 0
2 1 3
0 2 2
0 1 1
3 3 1
0 2 0
2 2 0
1 2 1
1 3 1
10 3
0 3 0
2 0 0
1 0 2
1 1 1
3 1 1
2 3 0
1 3 1
3 0 2
3 1 3
0 1 2
10 9
1 2 2
1 0 0
0 1 0
2 2 0
0 2 0
2 1 2
2 0 2
0 1 2
2 1 0
2 0 1
10 7
2 2 0
0 2 0
1 0 2
1 1 1
0 2 2
2 1 2
2 2 2
2 2 1
1 0 0
0 0 0
10 5
2 0 2
2 0 0
1 0 2
1 0 0
0 0 1
1 1 2
0 0 2
0 2 0
1 2 0
1 2 2
10 4
2 0 2
0 0 1
0 1 0
0 1 2
2 1 0
0 2 1
2 2 1
1 0 1
0 2 0
2 1 1
10 8
1 2 2
0 0 2
2 2 2
1 1 2
2 1 1
2 2 0
2 1 0
2 0 0
1 1 1
0 2 0
10 6
2 2 0
1 0 2
0 2 2
0 2 1
2 1 0
2 0 2
2 2 1
2 2 2
2 0 0
1 0 1
10 6
2 2 2
0 0 1
2 1 0
1 0 1
0 1 2
1 1 2
2 2 0
0 2 2
2 0 1
0 1 0
10 4
0 0 0
1 2 1
1 1 0
1 1 1
0 2 0
2 1 1
1 2 2
2 0 1
1 0 2
2 1 2
10 5
1 2 2
1 2 1
1 0 2
1 1 2
2 0 1
2 2 1
0 1 2
2 2 2
0 0 2
2 2 0
10 5
1 1 0
3 3 1
1 2 3
3 2 3
2 2 1
2 0 0
3 2 1
2 2 0
2 0 1
2 2 3
10 2
0 2 0
0 0 0
0 0 1
2 2 2
1 0 2
2 1 2
1 2 2
0 2 2
1 0 1
2 2 0
10 2
1 1 1
1 0 2
0 2 0
0 0 2
0 0 0
1 0 0
2 2 0
1 1 0
1 0 1
1 1 2
10 6
1 0 2
1 1 1
1 2 1
0 1 1
0 2 0
2 0 2
1 1 0
1 1 2
2 2 0
0 1 2
10 2
3 2 2
1 3 3
2 1 2
0 0 0
2 2 2
2 0 1
1 2 2
3 2 1
0 1 2
2 0 2
10 4
3 1 2
2 3 1
3 1 3
3 3 1
1 2 2
1 1 3
2 1 0
0 3 0
2 0 1
3 3 0
10 7
0 1 0
0 1 2
2 2 1
2 1 1
1 0 0
0 0 2
2 1 2
2 0 0
0 0 1
1 1 1
10 8
2 3 2
3 1 0
1 3 2
2 2 1
0 1 3
3 2 0
1 2 0
2 1 3
0 3 2
1 1 0
10 6
2 0 0
2 3 0
1 3 2
3 3 0
0 1 0
2 3 1
3 1 3
1 3 0
1 2 0
1 1 3
10 2
1 2 3
0 0 1
0 2 2
1 0 3
1 2 2
2 0 2
0 0 0
2 2 2
2 2 0
2 1 1
10 3
2 1 1
1 2 1
0 1 1
1 1 1
0 2 0
2 1 0
1 2 0
2 0 0
1 0 1
2 2 0
10 3
1 1 0
1 2 2
1 1 1
0 2 1
0 0 2
1 0 0
0 2 2
2 1 0
0 0 0
2 2 1
10 5
2 1 2
3 0 3
1 2 1
3 0 1
2 2 2
3 2 1
1 2 0
2 1 1
2 1 0
1 1 1
10 4
3 1 1
1 2 2
1 3 2
0 1 1
1 1 3
2 1 0
0 3 1
1 0 1
0 1 0
0 3 2
10 5
2 0 0
0 2 0
1 0 1
0 1 1
2 0 1
0 0 0
2 1 2
0 1 2
2 2 1
2 1 1
10 8
0 3 1
0 2 1
2 1 1
2 3 1
1 0 3
2 3 2
0 2 0
1 0 2
3 0 3
2 0 0
10 2
0 2 2
2 1 0
1 2 0
0 2 1
1 1 2
0 0 1
0 2 0
1 0 2
2 1 2
1 2 2
10 5
1 0 0
1 1 2
2 2 0
0 0 2
2 1 2
2 0 2
0 1 2
2 0 1
1 2 1
0 2 0
10 3
0 2 2
1 0 1
3 1 0
0 3 3
3 0 2
0 1 3
0 1 1
2 3 3
2 1 0
1 2 0
10 8
1 2 0
0 0 2
0 0 0
1 1 2
2 1 0
1 0 1
1 1 1
1 2 2
1 2 1
0 1 0
10 3
2 0 2
0 1 1
0 0 2
2 1 2
1 0 1
0 1 0
1 1 0
1 2 2
2 0 0
2 2 0
10 7
0 2 2
1 3 1
1 0 0
0 3 2
3 3 0
2 0 2
3 1 3
1 1 3
1 2 2
1 1 0
10 3
3 1 3
1 3 2
3 1 1
3 0 2
1 2 3
3 0 0
2 0 3
0 2 0
3 2 0
2 2 1
10 6
0 2 1
2 0 0
0 0 1
0 1 2
0 1 0
2 2 0
0 0 0
1 0 0
1 2 1
1 1 1
10 9
1 3 3
0 3 0
0 1 2
1 2 2
3 1 1
3 0 3
3 2 1
1 0 2
0 2 3
3 3 0
10 4
0 0 1
0 2 1
1 0 1
2 1 1
1 2 1
1 2 0
2 0 0
2 1 2
2 0 2
2 2 2
10 5
1 1 0
1 2 2
1 2 1
0 0 2
0 2 0
0 1 1
2 0 2
1 1 2
2 2 1
1 0 2
10 6
1 0 2
3 1 2
1 1 2
1 2 2
3 2 2
3 2 3
2 1 3
3 3 1
2 3 3
2 0 0
10 6
1 2 1
2 1 2
0 1 0
0 1 2
2 2 2
0 1 1
2 2 1
2 2 0
1 1 2
2 1 1
10 2
1 3 1
3 1 1
3 1 3
3 3 2
2 3 0
1 2 0
0 0 2
2 3 1
2 2 3
0 3 2
10 3
0 1 2
0 2 1
0 2 2
2 1 1
2 0 0
2 2 2
1 2 0
2 0 1
2 2 0
1 1 1
10 9
0 2 3
3 0 0
0 0 3
1 3 3
3 1 1
0 1 3
2 3 3
1 1 0
2 2 3
0 3 0
10 3
2 0 1
1 1 0
0 0 0
0 2 0
0 0 1
1 1 1
2 1 2
1 2 2
0 1 2
1 2 0
10 5
2 2 2
2 2 1
1 1 2
1 0 1
2 1 1
2 2 0
0 2 1
0 0 2
2 1 0
1 1 0
10 9
3 0 0
2 3 1
0 3 2
3 0 1
3 3 0
2 0 1
2 0 2
2 1 2
2 1 1
0 1 1
10 7
1 3 0
2 3 2
0 2 1
1 0 3
3 2 2
3 0 3
3 2 1
0 0 3
0 3 3
1 0 0
10 4
3 3 3
1 2 0
3 1 3
1 3 2
2 3 0
1 0 1
2 0 1
3 2 0
3 3 1
2 0 2
10 7
1 2 2
2 1 0
0 1 2
2 2 2
1 1 0
0 1 1
2 0 2
0 0 1
1 2 1
2 2 0
10 6
2 0 1
2 0 2
1 0 2
1 2 0
1 2 2
1 2 1
2 2 0
2 2 2
0 0 0
2 0 0
10 5
3 1 3
3 1 0
2 2 1
0 2 2
0 0 1
0 3 3
1 2 1
1 3 2
1 1 3
2 1 2
10 3
2 2 1
1 1 2
0 2 0
1 2 1
2 1 2
1 2 2
1 1 0
0 0 1
0 1 0
0 1 1
10 7
0 0 3
1 1 3
1 0 3
3 1 1
2 3 1
2 0 3
2 2 2
1 1 0
0 1 3
2 0 2
10 7
3 3 3
3 0 0
3 2 1
1 3 0
3 1 0
2 1 3
1 0 2
1 1 3
3 0 3
0 3 2
10 2
0 1 0
2 1 2
0 2 1
1 2 0
2 1 1
2 1 0
0 0 2
1 0 1
0 0 1
2 0 0
10 7
3 1 1
2 3 1
1 1 2
3 3 2
1 0 1
0 2 1
3 0 3
2 3 2
2 1 1
3 2 3
10 4
2 2 1
1 0 1
2 1 1
1 0 2
1 2 2
1 1 2
0 1 0
0 2 0
0 2 2
0 1 1
10 7
2 1 2
2 2 2
0 0 0
2 0 2
1 2 1
1 0 0
2 1 0
1 1 1
2 0 0
0 0 2
10 3
2 1 2
2 0 2
1 0 2
0 0 2
1 2 1
2 1 0
0 2 1
2 2 1
1 1 2
2 2 0
10 6
1 2 1
1 1 1
2 0 0
0 2 0
0 1 1
0 2 2
2 1 0
2 1 1
1 0 0
1 1 0
10 9
3 1 2
2 1 3
3 2 3
1 1 2
1 1 1
2 3 3
3 0 3
2 2 3
3 3 0
0 2 3
10 9
2 2 0
2 0 2
1 1 2
0 2 0
0 3 3
3 3 3
0 2 2
0 2 1
2 3 1
2 1 0
10 7
0 2 1
0 1 1
3 1 1
0 2 0
2 3 3
0 3 2
2 3 0
0 3 1
1 3 3
2 1 3
10 8
1 1 3
0 2 2
2 1 0
0 0 0
2 1 3
3 2 1
1 0 0
0 0 1
3 2 3
1 3 2
10 8
3 3 3
0 1 1
3 0 2
2 1 2
1 3 2
1 3 3
1 1 3
0 2 0
1 2 3
1 0 3
10 7
0 0 2
2 0 0
2 0 1
0 2 0
1 2 0
1 1 2
1 2 2
1 1 1
2 1 1
1 0 1
10 4
0 0 3
2 1 1
2 2 1
2 0 2
1 1 0
1 3 3
2 0 1
3 3 0
3 2 0
1 2 1
10 4
0 1 1
0 1 2
3 1 2
1 3 2
0 0 3
3 1 3
0 0 0
2 0 2
0 3 2
2 2 2
10 2
1 2 0
2 1 2
2 0 2
1 1 0
2 2 1
0 2 1
1 0 1
2 0 0
0 0 1
1 2 2
10 8
0 1 2
0 0 2
0 2 0
0 2 2
1 1 0
1 1 1
1 0 1
1 2 1
2 0 0
2 2 0
10 7
1 2 2
1 0 1
0 1 0
1 1 0
0 0 0
1 2 0
2 1 2
2 2 1
0 1 1
2 2 0
10 9
1 2 1
0 0 0
0 1 1
2 1 1
0 2 0
2 2 0
1 2 0
2 2 2
0 2 2
0 1 0
10 8
0 0 1
0 1 2
1 0 2
2 2 2
2 0 1
0 2 1
0 0 0
2 0 2
0 1 0
2 1 0
10 7
2 0 1
2 1 1
0 1 2
1 1 2
2 0 0
1 1 1
0 2 0
2 0 2
1 0 2
1 2 2
10 6
2 0 0
0 2 0
2 0 1
0 1 0
2 1 1
2 2 1
2 2 2
2 0 2
2 2 0
1 0 0
10 5
1 1 1
1 2 1
1 0 0
2 0 2
0 0 1
2 1 2
2 2 1
1 2 0
1 1 0
0 1 0
10 5
3 1 2
3 3 2
2 1 3
3 0 2
1 3 0
2 1 1
1 0 1
1 1 2
2 3 3
0 0 0
10 6
1 1 1
2 0 1
2 2 1
0 0 2
0 2 2
2 0 0
1 1 0
2 0 2
1 2 2
1 0 1
10 7
3 0 1
3 0 2
0 3 1
2 3 0
0 3 3
2 2 1
1 0 0
3 1 2
2 0 2
0 0 3
10 9
3 2 1
0 0 1
1 3 1
0 2 2
3 1 0
2 0 0
2 2 1
2 2 0
2 2 2
3 3 1
10 2
0 0 0
0 0 2
1 2 0
1 2 2
2 2 2
0 2 1
2 0 0
0 1 2
1 0 2
0 0 1
10 8
0 3 0
3 2 3
2 2 0
0 2 1
0 1 3
0 0 3
0 0 2
0 2 3
3 1 2
3 1 3
10 7
1 0 0
0 2 0
1 0 1
0 0 0
0 0 2
1 1 1
1 2 2
1 1 0
0 1 2
2 1 0
10 5
2 2 2
0 2 1
1 1 1
2 0 0
0 1 0
0 2 2
1 2 2
2 1 2
0 1 1
0 2 0
10 6
1 0 1
0 1 2
1 2 0
0 2 0
2 2 1
0 2 1
0 0 2
2 0 2
1 1 2
2 1 2
10 8
1 2 3
3 0 2
2 3 1
3 2 2
2 0 3
0 3 3
0 1 2
2 1 0
1 3 0
1 3 1
10 5
2 2 2
2 0 0
1 2 2
1 1 1
2 2 0
2 0 2
2 1 0
1 1 2
0 2 0
0 0 0
10 3
3 0 1
1 2 0
1 1 0
0 3 0
1 0 1
0 0 0
3 0 3
0 2 0
2 3 1
3 2 3
10 6
0 2 0
1 2 2
1 0 0
1 1 1
2 2 0
1 0 2
2 1 1
1 2 0
1 1 0
2 2 1
10 9
3 1 1
3 2 3
2 1 0
0 0 1
2 2 2
0 1 1
3 1 3
3 0 1
1 3 0
2 3 1
10 3
2 3 1
3 1 2
2 3 2
0 2 3
2 0 1
0 1 1
0 3 0
0 0 3
3 2 3
0 2 1
10 9
3 2 1
0 1 3
1 1 1
1 1 2
3 3 0
0 2 0
0 2 2
2 2 2
1 2 0
0 2 1
10 7
1 1 2
1 2 2
0 1 2
1 2 1
0 0 2
2 0 1
1 0 0
1 2 0
2 2 1
0 1 0
10 3
0 2 1
1 0 0
1 1 1
2 0 1
0 2 0
0 1 0
0 2 2
2 2 0
2 0 0
2 2 1
10 5
1 0 3
0 3 0
2 1 2
0 0 1
1 2 0
1 2 2
2 0 0
1 3 3
3 1 3
3 0 3
10 9
0 1 1
3 1 3
2 2 1
0 2 2
2 3 1
1 3 2
1 2 3
3 0 3
0 3 3
2 1 3
10 3
2 1 0
2 0 2
1 0 1
1 0 0
0 2 2
0 1 1
1 0 2
0 0 1
1 1 0
1 2 0
10 5
2 1 2
3 2 1
1 0 1
3 3 3
0 0 3
3 1 1
3 3 2
1 3 3
3 1 3
1 3 2
10 5
1 1 2
0 0 0
1 2 0
2 0 1
2 1 2
2 2 2
1 2 1
1 0 2
0 2 1
0 0 1
10 3
2 2 0
1 1 1
0 2 1
2 1 1
0 1 2
2 1 0
0 2 2
1 0 0
2 2 2
0 0 1
10 4
1 2 0
0 2 0
0 2 3
3 1 3
3 2 2
3 0 2
1 3 2
1 2 3
0 3 1
2 2 1
10 4
2 2 2
2 3 1
0 3 2
0 0 2
1 0 1
3 0 3
0 1 0
3 2 1
1 2 1
2 3 3
10 9
0 2 2
3 3 1
3 1 1
1 3 2
0 2 0
3 1 2
2 2 1
1 3 3
2 3 1
0 3 0
10 8
1 1 1
3 0 0
1 0 2
3 2 0
1 3 2
2 2 3
3 0 1
3 1 2
2 3 1
0 1 2
10 2
0 2 2
1 1 2
1 0 2
2 1 2
0 1 2
1 0 1
2 0 0
1 0 0
0 2 1
1 1 0
10 3
1 2 2
1 2 0
2 1 2
1 1 1
1 2 1
2 1 1
2 0 0
0 2 0
2 0 1
0 1 1
10 4
2 1 0
0 2 2
0 1 2
2 2 0
0 0 0
1 1 0
0 0 2
2 2 2
1 2 0
0 1 1
10 8
1 2 0
1 0 0
1 1 1
2 2 0
1 2 1
2 0 2
0 1 0
2 0 1
2 1 2
2 2 2
10 7
1 1 1
0 2 1
1 0 0
2 1 0
2 2 0
0 1 0
1 2 0
0 0 1
1 1 0
2 2 1
10 3
3 1 3
3 3 3
1 3 1
1 3 2
1 2 0
1 0 2
0 3 1
1 3 0
2 3 2
2 3 0
10 9
1 0 0
0 1 3
0 3 0
3 1 1
3 1 2
1 1 2
3 3 1
2 2 0
0 2 3
0 0 1
10 9
3 2 3
3 2 0
3 3 1
0 2 3
1 3 0
1 3 1
3 0 2
2 3 3
0 0 1
3 3 3
10 6
1 1 0
0 2 0
1 0 0
0 0 0
2 0 1
0 0 1
0 1 1
2 1 0
1 2 0
0 0 2
10 5
3 0 1
1 3 0
3 0 2
2 2 3
2 3 1
2 3 3
0 2 2
1 0 3
3 3 3
1 3 1
10 2
2 1 1
0 0 2
1 2 2
1 2 0
2 0 1
1 0 1
2 2 1
0 0 0
2 0 2
2 1 2
10 7
3 1 1
0 2 0
0 1 3
0 3 2
0 1 2
1 0 1
0 3 0
2 1 3
2 2 3
2 3 3
10 4
1 1 0
1 1 2
1 2 0
2 1 1
0 2 1
0 1 1
0 1 2
2 2 2
1 0 2
0 0 1
10 4
1 2 3
3 2 0
3 1 3
3 2 1
0 3 2
2 0 3
1 2 0
2 0 2
2 1 1
2 3 1
10 3
2 1 1
0 0 1
0 1 3
0 3 1
3 3 1
1 2 1
2 3 1
3 0 3
2 1 0
1 3 0
10 2
1 1 3
0 3 0
2 0 3
2 2 0
1 0 0
2 2 2
2 2 3
2 3 3
0 1 3
3 1 1
10 8
1 1 3
0 0 3
0 0 2
1 2 3
3 1 2
2 3 2
1 0 0
0 2 3
2 3 3
2 0 0
10 6
1 2 3
0 0 3
3 2 2
3 1 3
2 3 2
3 3 0
3 1 2
1 0 0
3 0 0
3 0 1
10 8
1 0 2
3 2 2
3 0 2
1 3 3
0 1 2
1 0 1
2 0 2
1 2 0
0 0 3
2 2 2
10 6
1 0 1
1 2 3
2 3 1
3 0 2
0 3 2
3 1 1
2 2 1
2 1 3
1 2 1
1 3 2
10 2
0 0 1
0 0 2
0 3 1
2 2 1
3 1 2
2 3 1
1 1 0
1 2 2
2 2 2
3 3 2
10 6
3 3 2
1 1 1
1 0 0
0 1 2
0 0 2
0 0 1
2 2 0
0 2 1
1 1 0
2 3 1
10 9
2 0 1
1 2 2
1 0 1
2 1 2
0 2 2
2 0 2
0 0 0
0 2 1
1 2 0
0 1 2
10 9
2 2 2
2 3 2
1 3 0
2 0 0
1 2 1
3 0 1
3 3 3
1 0 2
3 2 2
1 1 2
10 6
2 3 1
2 2 1
0 2 1
2 2 0
0 1 1
3 1 0
1 0 2
2 0 2
2 3 0
1 0 0
10 2
1 3 2
1 2 1
1 3 3
0 1 1
3 2 1
2 0 3
2 3 2
0 0 3
2 0 1
0 1 3
10 2
3 2 0
3 0 3
2 0 3
3 0 2
0 1 1
0 1 2
2 1 2
0 2 1
1 2 1
1 1 2
10 8
0 1 1
3 0 0
1 0 2
1 1 3
3 2 0
2 1 1
2 1 0
2 0 0
1 1 0
3 1 2
10 5
2 3 1
0 3 2
0 3 1
0 1 2
1 2 1
3 2 0
3 3 1
2 0 3
0 2 0
0 3 3
10 3
1 3 1
1 0 2
3 0 3
3 3 1
1 1 0
0 3 1
0 0 0
1 3 2
2 0 2
3 3 0
10 2
0 2 1
1 0 1
0 1 0
1 1 1
0 0 0
0 2 2
2 1 2
0 2 0
1 2 0
0 1 2
10 3
3 1 3
2 2 2
2 1 1
1 0 1
0 0 1
2 2 1
1 0 3
3 1 2
2 1 2
1 0 0
10 3
1 2 0
3 3 3
3 1 1
2 1 3
2 0 2
3 0 1
2 3 3
1 3 1
3 0 3
2 2 2
10 3
1 2 2
0 0 0
0 2 1
1 0 1
0 0 2
2 0 2
2 1 1
2 2 1
0 2 0
2 0 1
10 4
2 0 0
0 2 0
3 0 0
0 3 2
3 0 2
0 2 2
1 1 0
2 0 1
0 0 0
3 0 3
10 7
1 0 2
0 0 2
2 2 0
1 0 1
1 2 1
1 1 0
0 2 1
1 1 2
0 2 0
0 0 1
10 4
1 1 2
0 1 0
0 0 1
2 0 2
0 1 2
2 0 0
2 0 1
0 2 1
2 1 0
1 0 0
10 9
0 0 2
3 0 3
3 3 0
3 2 3
3 3 3
2 0 1
1 3 0
3 1 3
3 0 1
2 2 2
10 2
0 2 2
0 1 2
3 3 0
2 3 0
0 0 1
0 3 2
3 2 2
1 2 3
3 1 3
2 0 3
10 8
0 0 2
0 3 2
2 1 2
3 3 2
2 3 0
0 1 0
3 0 1
3 3 1
3 1 3
0 2 3
10 2
1 2 0
2 2 2
0 0 1
0 0 2
0 0 0
0 1 2
1 0 0
2 2 0
2 0 0
0 2 2
10 5
3 0 1
1 0 0
0 0 0
3 2 2
3 0 0
2 3 1
1 2 1
2 1 3
1 1 2
1 3 1
10 3
0 1 0
0 1 1
1 0 3
3 0 1
2 3 1
2 1 0
3 2 1
3 3 0
0 2 1
1 2 1
10 2
0 1 0
2 1 2
1 1 0
2 2 0
2 0 2
0 2 2
0 2 1
0 1 1
0 1 2
1 2 2
10 6
1 1 2
1 0 2
1 1 0
1 0 0
2 0 2
0 0 1
2 2 1
2 1 2
1 2 1
2 2 0
10 8
1 1 2
1 2 1
1 0 2
1 0 1
2 2 1
1 2 2
1 1 0
2 0 1
0 0 1
2 2 2
10 3
0 0 1
1 2 0
2 2 1
0 0 2
2 1 2
0 2 0
0 0 0
2 0 2
0 2 2
0 1 1
10 8
1 0 0
3 3 3
3 3 0
2 1 3
1 2 0
0 3 1
3 3 2
2 2 3
0 3 3
1 0 2
10 5
0 2 0
2 0 2
2 1 1
0 0 2
1 0 1
0 2 1
1 1 2
1 0 2
2 1 0
2 0 0
10 3
1 1 0
0 2 2
1 0 2
0 2 0
0 2 1
1 0 1
2 0 2
1 2 1
1 0 0
0 1 1
10 7
0 3 0
3 1 1
2 3 0
2 0 3
1 2 1
1 0 2
2 1 1
0 0 3
1 0 1
0 1 0
10 2
1 1 0
1 0 2
1 1 1
1 0 1
2 1 0
0 0 0
1 1 2
0 0 1
2 0 1
1 2 2
10 6
2 0 0
1 2 2
1 1 0
0 2 2
2 2 2
1 1 2
0 2 0
0 0 1
0 2 1
0 0 0
10 7
2 1 1
0 1 2
1 0 0
2 0 2
1 1 2
2 1 0
0 2 0
2 0 0
0 1 0
0 1 1
10 6
2 1 2
1 0 2
2 0 1
1 1 0
0 0 0
0 0 1
1 2 1
1 0 1
0 2 0
1 0 0
10 8
2 2 3
1 0 2
0 0 2
1 3 3
0 3 0
2 1 2
3 2 2
2 3 2
1 2 1
0 2 1
10 5
3 0 2
2 1 0
0 0 1
0 3 1
0 0 3
2 2 3
1 3 1
0 3 0
0 1 1
3 0 0
10 5
0 1 2
2 0 0
0 2 0
1 1 0
2 1 2
1 1 2
2 2 1
0 2 1
2 1 0
1 2 1
10 9
2 2 1
0 0 2
0 2 1
0 1 0
0 2 0
1 1 1
1 0 1
1 2 1
2 2 0
2 1 1
10 2
2 0 1
3 2 2
3 0 2
0 1 0
3 3 0
2 2 1
0 0 3
2 1 3
3 1 1
2 1 2
10 5
0 1 0
1 1 1
0 2 0
1 2 0
2 2 0
0 0 0
2 0 1
0 2 2
1 0 0
2 0 2
10 8
0 2 0
1 2 0
1 1 2
2 1 1
0 0 0
1 2 2
1 2 1
0 0 1
2 2 1
1 0 0
10 3
2 3 0
1 2 3
0 0 2
0 2 1
2 2 1
1 3 2
3 2 3
3 0 1
2 0 0
2 2 0
10 9
3 1 1
1 3 2
3 0 2
1 3 1
1 0 0
0 1 3
1 3 3
0 0 2
0 3 2
0 2 2
10 2
2 0 2
2 1 1
2 1 0
0 1 0
0 1 2
0 1 1
0 0 1
1 0 2
0 2 0
2 2 1
10 8
2 1 0
0 1 1
3 2 0
1 0 2
3 1 3
2 1 2
2 2 0
2 2 3
2 1 1
3 0 3
10 5
1 0 2
0 0 0
0 1 0
1 2 2
2 1 2
0 0 2
2 2 2
1 1 0
2 1 1
0 2 1
10 8
0 1 0
0 2 3
3 3 1
0 0 1
0 3 3
2 0 1
1 1 2
3 2 2
1 2 0
2 1 2
10 4
2 2 1
1 1 2
1 2 1
0 1 1
1 0 1
1 2 2
0 1 0
2 1 2
1 1 1
0 1 2
10 9
2 2 1
2 2 3
2 3 0
1 1 2
1 3 3
2 1 1
1 2 3
1 3 2
0 1 0
0 2 3
10 5
0 2 1
2 2 2
1 1 0
1 2 1
1 0 1
0 2 2
0 1 1
0 0 1
2 0 0
0 2 0
10 8
0 0 0
1 2 0
1 2 1
2 0 0
0 2 0
0 2 1
1 1 0
0 1 0
0 0 2
0 0 1
10 9
1 3 3
2 3 0
0 0 2
2 3 2
2 1 1
0 0 0
1 0 1
1 2 2
3 3 0
3 1 3
10 8
2 2 2
1 2 2
1 1 2
2 1 1
0 1 0
0 0 0
2 0 2
2 2 0
1 0 2
2 2 1
10 2
1 0 1
1 2 0
1 1 2
0 0 2
0 0 0
0 1 2
1 1 1
0 0 1
1 1 0
1 0 2
10 2
0 2 0
3 3 0
3 2 1
2 1 0
1 1 2
2 2 3
1 0 3
1 1 0
1 0 2
0 0 2
10 7
0 2 1
2 1 1
1 1 0
2 1 2
0 0 0
2 0 1
1 2 2
1 0 2
0 1 2
2 0 2
10 4
0 2 2
1 1 1
2 0 1
0 2 0
1 0 2
1 0 0
1 2 1
1 1 2
1 2 0
0 1 2
10 6
1 2 2
1 0 2
1 0 0
0 0 2
1 2 1
1 1 1
0 1 2
1 1 0
2 1 1
0 2 2
10 8
2 0 1
1 0 1
0 0 2
0 0 1
2 1 1
2 1 0
2 1 2
1 1 0
1 2 0
2 0 2
10 8
0 2 2
2 1 1
1 1 1
0 0 2
0 0 1
2 0 3
1 2 3
3 3 2
0 3 3
2 0 0
10 2
0 0 1
3 1 3
1 2 2
0 1 0
2 1 0
1 1 1
1 1 3
0 3 1
3 0 3
2 2 3
10 8
2 0 1
2 2 0
3 1 1
0 3 0
2 1 3
3 3 2
3 2 0
2 3 3
0 1 0
1 3 1
10 2
1 1 0
0 0 1
2 1 1
0 1 0
2 0 2
2 2 0
1 2 2
0 1 1
1 0 2
0 0 2
10 7
0 0 0
3 3 3
1 2 2
3 0 0
1 1 2
2 0 0
3 1 1
2 3 0
0 0 3
3 1 3
10 2
0 1 2
0 3 0
3 0 3
2 1 0
2 0 1
1 3 1
0 1 0
3 1 2
0 0 3
2 0 3
10 5
1 2 0
2 2 0
2 2 2
1 1 2
0 2 2
2 1 2
0 1 0
0 1 2
0 0 0
0 1 1
10 2
2 0 0
1 0 0
0 3 1
1 2 2
2 3 3
1 1 3
3 1 0
2 1 3
1 1 2
0 0 2
10 4
1 1 0
2 1 0
2 0 2
1 1 1
0 2 2
0 1 2
1 0 0
2 2 1
0 0 2
0 1 0
10 9
2 1 0
1 0 0
0 0 0
0 2 1
2 2 2
2 0 2
1 1 0
0 2 2
1 1 1
1 2 2
10 3
3 1 2
3 2 3
1 1 1
2 3 1
0 3 3
0 3 2
2 3 2
2 3 3
1 3 3
2 1 1
10 8
1 3 1
1 1 0
0 3 2
1 1 1
1 0 2
3 2 3
3 2 1
2 2 0
0 0 2
2 3 1
10 6
2 1 0
0 1 2
0 2 2
2 1 1
0 0 0
0 1 0
0 1 1
1 2 1
0 0 2
2 1 2
10 2
1 2 0
3 1 1
3 2 0
0 0 0
0 0 2
2 2 3
1 3 2
2 2 1
1 1 3
2 1 1
10 7
1 1 2
1 2 0
2 0 0
1 2 1
0 2 1
1 1 1
2 1 1
1 0 0
2 1 0
2 1 2
10 4
2 2 2
1 0 2
1 1 2
2 2 1
2 2 0
0 2 2
1 0 0
1 1 1
1 2 0
2 1 1
10 9
2 0 0
0 2 1
0 1 0
1 2 1
2 2 0
2 2 1
0 1 2
0 2 0
2 2 2
1 0 1
10 5
3 2 3
1 2 2
2 1 1
0 2 2
2 3 3
2 3 1
1 2 3
2 0 3
3 3 0
0 2 1
10 5
0 1 2
0 2 1
2 0 0
0 0 1
2 0 2
2 0 1
1 2 1
0 0 0
0 2 0
1 1 0
10 2
2 1 2
0 2 1
3 1 2
3 3 0
1 0 3
0 3 2
3 2 1
0 3 1
2 2 2
3 3 1
10 8
3 1 1
1 0 3
3 0 2
0 2 1
3 3 2
1 3 0
1 1 0
2 3 3
2 0 2
2 0 0
10 2
2 3 3
2 1 2
3 3 3
0 1 1
3 3 2
2 2 0
0 0 3
3 2 0
3 0 0
1 3 2
10 4
0 2 2
1 2 2
0 1 1
0 2 0
0 1 0
2 1 1
1 1 2
0 2 1
0 0 1
1 1 1
10 9
0 0 2
0 0 0
1 1 0
0 2 0
1 0 2
1 1 2
2 2 2
0 1 2
0 2 2
1 0 1
10 4
1 2 1
0 2 1
1 2 2
1 1 1
0 2 2
2 1 2
1 0 2
2 1 1
1 0 0
2 1 0
10 8
2 1 0
1 2 0
1 1 2
0 0 0
0 0 1
2 0 0
2 2 0
1 0 1
0 1 2
1 2 1
10 4
2 2 0
0 2 1
1 1 1
1 0 3
3 1 2
2 1 1
1 0 2
3 3 1
1 2 2
2 0 1
10 2
0 1 0
1 2 0
0 2 2
2 0 0
0 0 2
2 1 1
0 1 1
1 0 2
2 2 1
2 2 0
10 6
0 1 3
2 0 1
2 0 0
1 2 2
2 1 0
3 2 2
2 3 0
0 0 1
2 1 3
0 2 1
10 5
0 0 2
0 2 2
0 2 0
1 0 0
1 0 1
2 2 2
0 0 1
2 1 1
0 0 0
1 2 0
10 9
2 2 0
1 2 0
2 0 2
1 1 2
1 0 0
0 0 0
1 0 2
0 1 1
0 1 2
1 2 1
10 3
2 1 0
1 1 2
2 1 2
1 0 0
0 2 0
1 0 2
1 1 1
2 1 1
1 2 2
0 0 0
10 3
1 2 1
0 1 1
2 0 0
2 1 0
2 2 1
2 1 2
1 2 0
1 0 0
1 0 2
2 0 1
10 7
2 0 1
0 0 2
2 2 3
0 3 3
2 0 2
0 0 0
3 0 1
3 2 0
2 3 1
0 3 2
10 9
2 3 2
3 1 0
3 2 2
0 1 0
1 2 3
0 1 1
0 2 2
0 1 2
1 1 0
3 1 2
10 2
3 3 3
0 3 2
2 1 0
3 0 2
1 1 3
1 0 3
1 3 2
0 2 3
2 2 0
2 0 2
10 9
3 3 3
0 1 1
2 1 2
0 2 3
3 1 2
2 3 2
2 1 1
1 1 0
3 1 3
1 0 0
10 5
1 3 2
0 3 2
0 0 0
0 3 3
1 3 0
3 2 0
1 2 1
3 3 2
1 2 3
1 2 0
10 6
2 1 1
1 0 1
0 1 0
2 2 1
0 2 1
0 2 2
2 2 0
2 2 2
2 0 1
1 1 1
10 5
3 2 0
1 0 1
0 0 1
1 1 2
3 1 0
2 0 1
1 3 2
2 2 2
1 3 1
2 2 0
10 6
0 2 0
2 2 0
1 0 2
1 1 1
2 1 0
2 2 2
2 1 2
1 2 0
0 1 2
2 0 1
10 4
2 2 1
1 0 2
2 1 1
2 1 0
0 2 2
0 1 2
2 2 0
0 0 1
0 1 0
1 0 1
10 4
2 0 0
2 3 2
3 0 3
0 0 1
2 2 1
3 3 0
0 1 2
3 0 0
3 1 1
0 2 2
10 4
1 1 0
0 0 0
1 2 1
2 0 2
2 0 1
3 2 0
3 0 1
2 2 3
1 1 2
0 1 1
10 3
2 2 1
0 2 2
1 2 1
0 0 2
0 1 1
2 0 2
1 0 1
1 1 0
2 1 0
0 1 0
10 6
2 0 2
0 2 2
1 2 3
0 1 3
1 1 0
3 1 0
1 3 2
3 3 0
3 0 3
2 3 1
10 7
1 2 1
2 0 0
1 0 2
2 2 0
1 1 1
2 1 2
0 2 2
1 2 2
0 0 0
2 2 2
10 8
0 2 3
2 1 0
0 1 3
1 1 2
3 3 1
1 3 3
1 2 3
2 2 2
2 3 2
3 1 3
10 2
1 0 0
1 0 1
0 1 0
0 0 0
1 2 2
2 2 0
0 0 1
1 1 2
2 2 2
1 2 1
10 5
2 0 2
0 0 0
1 2 1
2 1 0
0 1 1
1 0 0
2 0 0
1 1 2
0 0 1
2 2 1
10 2
1 1 1
0 2 2
1 0 1
2 1 1
1 2 2
1 2 0
0 1 1
2 2 2
0 0 2
2 0 1
10 7
1 0 1
0 1 1
0 1 0
2 3 0
2 2 1
3 1 0
0 0 3
0 3 1
2 0 2
3 0 2
10 7
0 1 1
3 3 2
1 3 0
0 3 2
3 0 3
2 2 3
3 2 0
1 2 2
2 1 3
1 0 0
10 7
0 2 0
3 3 3
1 1 0
3 0 1
2 2 0
2 1 2
2 2 3
3 3 1
1 0 3
1 0 2
10 7
0 1 0
0 0 1
0 2 2
0 0 0
1 0 0
1 1 0
1 2 1
1 1 1
2 0 1
2 0 0
10 8
0 2 0
2 2 0
2 1 0
0 1 2
0 0 2
0 1 1
1 2 0
1 2 1
1 1 1
0 2 1
10 5
2 0 3
0 1 1
1 1 0
1 1 2
2 0 1
0 2 0
3 2 0
2 0 0
1 0 2
3 0 1
10 8
1 1 1
2 1 0
2 0 1
0 2 0
2 0 0
2 1 1
1 1 2
0 0 1
1 0 2
1 2 2
10 6
1 0 0
0 0 2
0 2 2
3 2 3
3 0 0
2 0 2
1 1 1
2 2 3
2 3 1
0 0 1
10 6
0 1 1
2 1 2
0 0 0
1 0 0
0 0 1
2 2 2
2 2 1
1 1 0
0 2 2
2 1 0
10 8
0 1 2
0 1 1
2 0 2
0 2 2
2 1 1
1 0 0
1 2 2
2 1 0
1 1 1
2 1 2
10 6
2 2 1
2 2 0
3 0 1
2 1 2
0 3 3
3 3 0
1 0 1
3 1 3
1 3 2
2 3 3
10 8
0 0 2
3 1 1
3 3 2
2 3 2
1 2 1
1 1 2
3 2 3
2 1 0
2 0 3
3 0 3
10 2
3 3 3
1 3 1
1 2 1
2 0 1
0 3 2
2 1 2
2 2 1
0 1 2
1 1 0
1 2 2
10 4
0 2 0
0 0 1
1 0 2
0 1 2
2 1 2
2 0 0
1 0 1
0 0 0
1 1 0
2 2 2
10 3
2 3 3
3 0 0
0 2 1
0 3 1
1 0 3
3 1 3
3 1 1
0 2 0
2 1 0
0 3 2
10 3
3 0 0
3 1 2
0 0 2
1 2 1
1 2 2
0 2 2
3 3 0
2 0 1
0 3 3
1 1 3
10 8
0 1 2
1 0 2
2 0 1
1 1 0
2 0 2
2 0 0
2 2 1
0 0 1
0 0 0
2 2 0
10 9
0 0 0
0 3 2
3 0 3
1 1 3
0 3 0
2 2 2
3 1 1
1 0 1
0 1 1
0 2 1
10 9
2 1 1
2 3 2
0 2 3
2 0 0
0 1 3
0 2 2
0 2 0
3 0 2
3 3 3
1 0 0
10 6
1 2 0
3 1 0
2 1 1
3 3 3
3 0 3
1 0 1
0 3 2
2 2 1
1 0 2
2 2 0
10 5
1 0 2
2 0 0
1 1 1
0 2 0
2 2 1
2 2 0
0 2 1
1 0 0
0 1 0
0 1 1
10 3
1 0 2
0 0 1
0 2 1
2 0 3
2 3 0
3 1 1
1 0 1
3 2 0
2 2 3
0 2 2
10 5
0 2 2
1 2 0
1 1 1
1 2 2
2 2 0
2 0 2
2 2 2
0 0 1
0 2 0
2 2 1
10 4
2 1 1
1 0 1
0 0 0
2 1 0
2 2 1
1 2 0
0 1 1
1 2 1
2 0 1
0 0 2
10 8
3 2 1
2 2 0
2 1 0
0 0 2
3 3 1
1 3 2
2 2 2
2 3 2
3 1 2
1 0 2
10 6
2 2 2
0 3 1
3 2 0
3 3 3
2 0 3
2 2 0
0 1 2
1 0 1
3 2 1
0 1 3
10 5
2 0 0
1 0 0
0 2 1
2 2 1
2 1 1
2 1 2
2 1 0
1 2 2
1 1 1
2 2 0
10 6
1 1 1
2 0 2
0 1 2
2 2 0
0 0 1
0 2 2
1 0 0
0 1 0
2 0 0
0 0 0
10 7
2 2 0
1 1 0
0 2 2
2 2 2
0 2 0
2 2 1
2 1 0
2 1 1
1 1 1
1 1 2
10 8
1 0 1
2 2 2
2 0 1
0 2 2
0 0 2
0 1 2
2 1 0
2 2 1
2 0 2
0 1 1
10 4
0 1 1
2 1 2
0 1 0
0 0 0
2 0 0
1 1 0
2 0 2
1 0 1
2 1 0
2 2 0
10 8
1 1 1
1 2 3
2 1 0
2 0 1
0 3 1
0 1 0
0 3 2
1 3 3
0 0 3
1 3 0
10 8
1 1 2
1 0 1
0 2 0
0 1 0
0 1 2
1 2 2
0 1 1
0 2 1
2 1 1
0 0 1
10 5
2 2 1
3 2 0
3 2 2
2 1 0
1 3 3
1 2 2
1 0 0
1 2 0
2 3 1
2 1 2
10 7
3 2 0
1 1 2
2 1 1
3 0 0
2 2 0
0 2 2
3 3 2
3 1 1
0 2 1
1 1 1
10 9
1 3 1
0 1 0
0 3 2
1 1 2
0 1 2
2 2 3
1 3 2
3 3 2
3 2 1
2 0 3
10 8
1 1 0
1 1 1
1 2 2
2 2 0
2 2 2
0 1 1
0 1 0
1 2 0
0 1 2
1 0 1
10 5
2 0 1
3 0 2
1 0 0
1 3 1
3 0 0
3 1 1
3 1 0
3 2 0
1 0 2
1 2 3
10 5
2 1 2
2 3 0
3 2 2
0 0 2
1 3 3
2 2 3
2 0 1
2 0 2
2 2 0
3 2 1
10 6
2 0 0
0 0 0
2 0 2
0 1 1
2 0 1
0 2 1
1 2 1
0 1 0
1 1 2
1 0 0
10 5
0 0 2
2 2 1
0 2 2
1 2 1
2 1 2
2 1 1
0 2 1
2 0 2
0 2 0
1 0 0
10 7
2 0 0
1 2 3
1 1 1
0 0 0
3 1 1
2 3 3
0 2 2
3 2 2
1 3 3
2 2 0
10 2
0 0 1
0 0 2
1 2 1
1 0 1
0 0 0
2 2 1
1 2 0
0 1 0
1 0 2
0 2 1
10 5
0 0 2
0 0 0
0 2 0
2 1 0
0 2 1
1 1 1
1 1 0
0 0 1
2 2 2
2 2 1
10 3
1 1 0
1 3 3
3 0 0
3 2 1
2 1 2
0 2 2
3 1 2
2 2 2
3 0 2
0 3 2
10 3
1 2 0
0 0 2
2 0 1
2 2 0
0 2 0
2 2 1
2 0 0
2 1 0
2 1 2
0 1 0
10 7
2 2 0
2 1 0
0 0 0
0 2 2
1 1 2
2 1 2
0 1 1
1 2 0
1 0 2
2 0 2
10 3
1 1 2
2 3 0
0 0 1
0 2 1
2 0 2
0 1 0
2 3 2
3 3 0
1 0 2
0 2 2
10 2
0 0 2
3 1 1
3 0 2
1 2 0
1 3 3
2 1 2
3 1 3
3 0 3
0 1 2
1 1 3
10 7
0 1 1
2 0 0
1 2 0
0 0 0
0 2 1
2 1 1
2 0 2
0 0 2
2 0 1
0 2 0
10 2
2 0 3
0 2 1
2 2 3
0 2 2
1 0 0
0 3 2
2 0 1
0 1 0
3 0 3
2 3 1
10 3
2 1 2
2 2 1
1 1 0
0 3 2
2 0 1
3 0 2
3 1 3
0 3 0
0 3 3
0 2 0
10 2
0 0 3
1 0 1
2 0 3
2 1 2
1 3 2
0 2 2
2 2 1
3 0 3
3 3 2
1 1 2
10 3
1 0 1
3 2 2
2 1 1
3 1 3
2 3 0
2 1 2
3 2 3
2 2 2
1 1 1
1 2 2
10 9
2 0 0
1 2 0
1 1 1
1 0 3
1 1 0
0 3 1
0 2 2
3 1 2
2 2 1
1 0 2
10 6
1 1 2
1 0 2
1 2 0
0 0 2
0 0 0
0 1 1
1 1 0
2 0 2
2 2 2
2 1 0
10 3
0 1 1
3 2 1
3 3 2
2 3 0
0 2 1
1 0 0
1 1 2
0 3 1
1 1 0
2 1 3
10 7
0 1 2
2 0 1
0 0 2
2 2 1
1 1 2
0 1 1
2 0 2
0 0 1
1 1 0
0 2 1
10 7
0 2 1
0 0 2
1 0 2
2 0 2
1 0 1
0 0 1
0 2 0
0 1 1
1 2 2
2 0 0
10 4
2 1 1
0 3 3
3 1 3
0 2 2
3 0 2
0 1 3
1 1 1
1 2 0
0 1 1
3 3 0
10 3
3 0 3
3 1 1
1 3 3
1 0 2
0 1 3
0 3 2
2 3 0
0 0 1
3 3 3
1 0 1
10 7
2 3 0
1 0 3
2 1 3
1 3 3
0 3 2
3 0 2
2 3 3
1 3 0
2 1 2
1 1 3
10 5
0 0 2
0 2 2
0 0 1
2 1 1
3 3 1
2 0 2
2 3 1
2 0 1
3 0 2
1 2 3
10 4
0 1 1
1 2 1
0 1 0
0 2 2
1 3 0
1 0 2
0 1 3
2 2 1
2 1 2
1 2 2
10 5
0 1 1
1 2 1
2 1 1
2 1 0
1 1 1
1 0 0
0 2 2
2 0 2
2 2 1
0 1 0
10 3
1 1 0
0 1 3
0 2 2
3 1 1
1 3 2
1 0 2
2 1 1
2 2 3
0 3 1
1 3 1
10 6
2 1 1
0 1 1
1 2 1
1 0 1
2 2 0
1 2 0
1 1 2
1 1 1
0 0 0
0 0 2
10 9
0 3 1
3 0 1
2 2 2
3 3 0
2 3 2
3 2 0
3 0 2
1 0 1
1 3 0
2 1 1
10 9
0 2 3
1 1 1
0 3 0
1 1 0
1 0 0
2 2 1
2 1 2
0 3 1
0 2 1
2 3 0
10 9
1 1 1
2 0 2
2 2 2
2 0 0
2 1 0
1 0 2
2 1 2
2 0 1
1 2 0
0 0 1
10 5
0 3 3
2 2 0
1 0 3
2 0 3
2 0 1
2 3 3
0 3 2
0 0 3
3 3 3
2 2 2
10 2
3 3 1
0 1 1
1 1 1
0 0 2
0 2 2
3 1 2
3 0 2
3 0 1
0 0 1
2 0 3
10 9
1 0 1
2 1 2
0 1 2
0 2 1
0 1 0
2 0 2
2 0 0
1 1 2
1 2 0
2 2 1
10 9
2 1 2
2 1 0
0 2 0
1 1 0
0 2 2
2 0 0
0 0 0
0 1 1
2 0 1
1 1 1
10 6
2 2 1
0 0 1
2 0 2
0 2 0
1 0 1
1 1 2
1 2 1
2 0 1
0 1 2
0 0 0
10 3
0 2 1
0 0 1
1 2 1
2 2 2
0 2 2
0 0 2
2 2 0
1 2 0
2 0 1
1 1 2
10 4
0 0 2
2 2 1
0 1 2
0 2 1
0 2 2
1 1 2
2 0 1
2 1 0
2 1 1
2 0 2
10 4
1 2 0
1 2 2
0 0 1
1 0 0
1 2 1
2 2 2
1 1 0
2 0 1
0 1 1
0 2 2
10 3
2 1 0
2 1 1
2 0 1
1 1 2
1 0 1
0 0 0
2 1 2
2 0 2
0 1 2
1 1 0
10 5
2 2 0
0 0 2
2 1 1
1 0 0
0 2 1
1 1 2
1 1 0
1 2 1
1 1 1
1 2 2
10 4
0 3 1
1 1 3
3 1 0
2 3 1
2 1 3
2 1 2
2 0 2
3 0 1
1 3 1
3 0 3
10 8
1 0 2
3 0 1
0 1 3
2 2 2
3 1 1
1 2 2
3 1 3
1 0 0
0 0 3
1 3 3
10 2
3 2 3
0 1 0
0 0 3
3 1 2
3 1 0
2 0 1
1 3 1
2 3 0
1 1 2
0 1 3
10 4
0 3 3
0 2 3
3 0 2
2 3 1
0 0 0
2 1 3
2 2 1
3 3 1
0 2 2
2 1 2
10 5
2 2 0
2 0 2
0 3 1
0 3 3
3 3 0
0 0 0
2 1 1
1 1 1
1 3 0
0 2 1
10 8
1 3 2
0 3 0
3 2 2
0 0 3
1 3 0
1 3 3
1 1 3
2 2 0
2 1 3
3 2 1
10 2
3 2 2
3 3 2
2 1 2
1 3 2
2 2 3
3 2 3
2 0 0
3 3 3
0 3 1
2 0 3
10 8
2 0 2
2 0 0
0 1 0
0 0 0
2 1 1
0 0 2
1 2 1
2 0 1
0 2 1
1 1 0
10 8
1 2 1
1 1 1
0 2 0
0 2 2
1 0 2
2 2 1
1 2 2
2 1 0
0 0 0
0 1 0
10 5
0 2 1
1 1 1
3 3 0
3 3 2
3 3 1
1 0 1
0 2 3
3 2 2
2 1 2
0 0 1
10 9
0 3 0
0 2 3
3 3 3
1 0 2
3 2 0
0 1 2
0 2 1
3 1 2
0 3 3
3 3 1
10 2
2 0 2
2 0 1
1 1 2
1 0 2
2 1 1
1 1 0
2 1 2
0 1 0
0 0 0
0 0 1
10 6
3 1 2
1 1 0
2 3 0
2 1 0
1 1 2
1 2 0
0 2 3
0 1 3
2 0 1
0 1 0
10 3
2 0 3
2 3 0
2 2 0
0 1 0
3 0 3
3 1 1
3 1 3
3 2 0
2 1 2
0 0 3
10 2
3 0 1
1 0 3
3 1 0
3 3 0
0 2 1
0 1 3
0 1 1
1 1 1
3 1 1
2 3 0
10 5
2 1 1
3 3 1
0 2 2
3 0 1
2 0 2
3 2 2
0 3 1
2 2 1
1 2 1
3 3 0
10 4
0 0 2
1 1 1
0 2 0
0 0 0
1 0 1
1 0 2
2 0 0
1 1 0
0 0 1
2 2 2
10 3
1 0 1
1 0 2
1 1 0
2 2 1
0 1 2
1 2 0
1 1 1
0 2 2
0 1 0
2 2 0
10 9
1 1 1
1 0 0
3 1 2
0 3 0
1 3 0
2 0 2
2 2 0
3 2 3
2 1 0
2 3 3
10 9
1 2 3
3 0 2
3 2 1
0 2 0
1 3 2
3 3 2
0 1 1
2 3 3
3 1 1
2 0 3
10 9
2 1 1
1 0 2
2 3 2
0 0 3
3 2 0
1 2 3
1 0 0
3 1 2
3 0 1
0 2 3
10 8
1 1 1
0 2 0
0 0 0
2 2 2
1 1 2
1 1 0
2 0 0
0 0 2
2 1 2
2 1 1
10 3
1 1 1
1 2 2
0 1 0
0 2 1
1 0 2
2 0 2
1 1 2
1 0 0
0 2 2
2 0 0
10 7
2 0 0
0 0 1
0 1 1
1 2 1
1 2 2
2 2 0
2 2 1
0 2 2
0 1 0
0 2 0
10 3
1 1 0
2 0 0
0 1 1
2 0 2
1 0 0
2 2 0
0 1 2
1 2 1
2 1 2
0 2 1
10 8
0 2 1
1 0 1
1 1 0
1 1 2
0 0 2
1 2 2
0 1 1
0 1 2
0 0 0
0 2 2
10 2
0 2 1
0 1 1
1 2 0
0 1 2
2 2 1
0 2 0
1 1 1
1 1 2
2 0 1
1 2 2
10 2
0 2 2
1 0 0
2 0 2
1 1 2
2 1 0
1 1 0
1 2 2
0 0 2
0 0 1
2 0 1
10 5
3 1 0
2 0 2
0 3 1
0 1 0
3 2 0
1 3 1
0 2 3
2 1 2
2 2 3
3 0 1
10 8
0 2 1
2 2 2
2 0 1
0 1 0
1 0 1
2 1 0
0 1 1
2 0 2
2 1 1
0 1 2
10 6
1 2 1
0 0 2
2 0 1
0 2 2
1 0 0
1 0 2
2 2 1
1 1 0
2 2 2
1 1 2
10 7
1 2 0
0 2 0
0 0 2
0 1 2
2 1 2
1 2 2
0 2 2
0 0 1
0 0 0
2 0 1
10 2
0 0 0
0 1 1
2 0 2
0 1 2
2 1 1
2 2 2
0 2 2
2 1 0
2 1 2
0 2 0
10 7
2 1 0
1 2 2
2 2 0
1 1 2
1 1 0
0 2 1
2 1 1
2 0 0
2 2 2
0 2 2
10 5
0 2 2
2 2 0
2 2 1
0 1 1
0 1 0
2 0 1
2 0 0
1 0 1
2 1 1
2 0 2
10 6
3 1 2
2 1 2
0 2 0
1 2 1
0 0 2
0 2 2
0 1 1
0 3 0
2 3 1
1 2 0
10 8
1 1 1
2 1 0
1 0 1
2 1 2
1 2 0
2 0 2
2 2 1
2 0 0
0 1 1
1 0 0
10 9
0 3 0
0 1 2
3 1 2
1 3 0
1 1 2
3 1 1
2 3 3
0 0 1
1 2 2
2 2 1
10 2
2 1 0
2 0 1
2 2 1
1 2 1
1 0 2
0 2 2
1 0 0
2 1 2
0 2 0
2 2 2
10 7
2 2 1
2 1 0
0 0 2
2 0 0
1 2 0
1 0 1
0 1 1
2 2 0
1 1 0
1 0 0
10 8
0 1 1
1 0 1
1 2 2
2 2 1
1 2 0
0 0 0
0 0 2
0 0 1
2 2 0
1 1 2
10 9
2 2 0
1 1 1
0 2 2
1 2 2
1 1 2
1 2 0
0 0 2
1 2 1
2 1 1
0 2 1
10 4
1 2 3
3 2 1
2 1 2
3 2 0
1 0 0
2 3 1
0 3 2
2 3 0
0 1 1
3 3 0
10 6
2 1 0
2 3 1
2 2 1
1 1 1
1 1 3
1 3 1
3 1 0
0 1 1
2 1 2
3 2 3
10 8
0 1 2
3 3 1
3 0 1
2 2 1
1 1 0
1 2 2
0 2 3
3 2 2
2 1 3
2 0 2
10 4
3 0 3
2 3 1
2 1 0
3 3 3
1 2 0
3 1 1
2 0 2
0 1 2
2 1 3
3 2 1
10 4
1 1 2
0 1 0
1 2 0
0 1 1
2 2 0
2 1 0
1 0 0
2 2 1
1 1 1
1 1 0
10 5
1 0 0
2 0 0
1 0 1
0 0 1
2 2 1
2 0 1
0 0 0
1 2 0
2 1 0
2 2 0
10 6
2 1 3
1 0 2
1 1 1
0 0 0
2 2 2
0 2 1
3 1 0
3 1 3
0 1 1
3 0 3
10 9
0 1 2
1 0 0
2 1 0
1 1 2
1 1 0
2 2 1
0 2 1
2 2 0
0 2 2
1 2 1
10 7
0 3 2
0 1 0
3 1 1
2 0 1
0 1 2
1 1 0
1 3 3
1 3 0
3 2 3
3 3 0
10 7
2 2 1
2 2 2
1 0 1
1 1 0
0 2 0
1 1 1
1 2 2
2 1 1
2 0 0
2 2 0
10 2
0 2 1
3 2 3
3 0 2
2 2 2
1 1 3
1 3 0
3 3 2
2 3 2
0 0 1
0 0 0
10 3
1 1 1
2 1 1
0 2 1
1 0 2
1 2 2
0 1 2
2 1 0
2 0 2
2 2 1
0 1 0
10 7
2 2 1
1 1 1
0 0 0
0 2 0
0 2 2
1 0 0
2 0 2
0 0 2
0 1 0
2 0 1
10 7
3 0 1
1 0 0
3 2 1
0 0 0
3 2 2
1 1 2
2 2 2
3 0 2
1 1 3
1 2 1
10 9
2 1 1
0 2 2
1 2 1
1 1 2
0 0 0
1 2 0
0 0 1
0 1 1
2 0 2
2 2 2
10 9
2 3 0
1 2 0
3 1 3
0 3 2
3 3 0
3 2 1
1 1 1
3 0 1
2 0 0
2 3 2
10 5
0 0 3
1 2 2
1 1 0
0 2 2
3 2 1
3 2 0
0 1 3
0 3 3
0 1 2
3 3 3
10 7
1 3 1
2 2 1
0 2 1
2 1 1
0 0 1
1 1 2
2 1 2
1 0 1
3 0 3
2 3 0
10 3
0 1 2
0 1 0
1 0 2
0 2 0
0 1 1
1 2 0
2 1 1
0 0 2
2 0 0
1 2 2
10 8
1 1 2
0 0 2
0 1 0
0 2 1
2 1 1
1 1 1
1 1 0
0 0 1
2 2 0
0 0 0
10 9
3 1 2
0 2 0
0 2 3
2 2 0
2 3 2
1 3 1
2 0 2
0 1 3
1 2 1
0 0 1
10 7
1 0 0
2 0 0
0 1 3
2 1 0
0 0 2
3 3 1
1 2 0
2 1 2
1 3 2
3 3 2
10 4
1 0 1
3 3 3
2 3 0
2 0 1
1 1 1
2 1 2
1 0 3
3 1 3
2 2 1
2 1 1
10 7
0 2 3
2 3 0
0 2 2
2 2 1
1 2 2
2 1 2
0 0 1
2 2 2
3 3 3
2 2 0
10 4
2 2 2
1 1 0
1 1 2
2 1 1
2 2 1
0 1 1
0 2 2
2 0 0
1 1 1
0 1 0
10 7
1 0 2
2 1 0
1 1 2
1 0 1
1 2 0
2 2 2
1 0 0
2 0 0
1 2 1
2 0 2
10 3
1 2 1
1 2 2
2 0 2
0 2 2
0 2 1
2 2 1
2 0 0
0 1 1
1 0 1
2 2 2
10 2
0 2 2
1 0 1
2 0 2
1 2 2
0 0 2
0 1 2
1 2 0
2 2 0
2 0 0
0 0 0
10 7
3 1 2
2 0 2
3 0 1
3 1 1
1 3 3
2 3 3
0 1 0
3 3 3
3 1 0
1 1 3
10 8
1 1 1
2 0 0
0 0 1
0 0 2
0 2 1
1 1 0
0 0 0
2 0 1
1 2 0
0 2 2
10 8
2 0 2
2 1 2
0 0 0
0 1 1
2 0 1
0 2 2
1 2 1
0 2 0
0 0 2
2 1 0
10 3
3 2 0
0 3 3
3 1 2
0 2 0
1 3 3
3 1 0
0 1 0
1 0 2
0 0 2
1 2 1
10 8
1 1 1
0 2 1
2 1 2
0 1 1
0 0 2
1 1 0
1 2 0
0 0 0
0 1 2
0 1 0
10 9
2 2 2
2 2 0
0 1 1
1 2 2
1 0 2
0 0 2
0 2 1
0 2 2
1 2 0
2 1 0
10 8
1 0 2
2 2 2
0 1 0
0 2 0
1 2 2
1 1 1
0 2 1
2 2 1
1 1 2
2 0 0
10 9
3 1 3
3 2 3
0 0 0
0 2 3
1 3 0
1 0 2
2 0 2
2 0 1
0 1 0
3 1 2
10 9
1 3 1
3 1 1
2 2 3
1 2 1
2 0 2
2 1 2
3 0 0
1 3 2
2 3 2
3 1 2
10 5
2 0 1
1 2 1
0 1 1
2 1 0
0 0 2
1 0 0
2 0 2
1 1 0
2 2 0
1 0 1
10 8
0 1 1
3 0 3
2 3 3
1 2 0
1 1 0
0 3 3
1 2 2
3 2 0
3 1 3
0 2 3
10 9
1 0 2
1 0 0
2 0 0
2 2 0
1 1 1
2 2 1
0 0 1
0 0 0
0 1 0
1 2 0
10 9
2 1 0
0 0 0
1 1 0
0 2 2
1 2 0
2 2 1
1 1 2
1 2 1
2 0 2
0 1 0
10 6
2 2 0
0 1 2
2 1 2
2 2 1
1 0 0
2 0 2
2 2 2
1 0 1
0 2 0
2 1 1
10 3
1 0 0
0 0 2
0 2 0
0 0 0
1 2 2
2 2 1
2 1 0
1 2 1
2 0 0
2 2 2
10 3
3 2 3
2 0 2
2 2 0
2 3 3
0 2 2
3 2 0
0 3 0
1 1 0
1 1 2
3 2 1
10 2
2 0 0
0 0 1
2 1 1
2 1 0
2 0 1
0 0 0
1 0 1
1 1 1
2 0 2
0 2 2
10 6
3 3 0
3 3 2
2 3 2
2 1 2
3 1 3
0 2 0
2 3 3
1 0 0
2 3 0
3 1 2
10 7
1 2 3
0 1 0
3 0 3
3 3 0
2 0 1
1 2 2
1 2 0
3 1 0
2 1 3
2 0 2
10 8
0 1 0
0 0 2
1 2 2
2 2 0
0 0 0
0 0 1
1 2 0
0 2 0
1 1 1
2 0 2
10 9
0 2 2
0 2 0
2 0 1
0 1 0
1 1 0
2 0 0
1 2 2
2 2 1
2 0 2
2 2 2
10 8
1 2 3
1 3 2
2 3 2
2 1 3
2 3 3
0 0 3
1 1 0
0 0 0
0 3 3
0 1 0
10 5
2 1 2
0 3 3
1 3 3
2 0 2
0 1 2
1 0 3
1 3 0
1 1 3
2 2 0
0 0 1
10 7
1 0 3
1 3 1
1 1 1
3 1 2
0 2 0
3 2 3
3 3 2
3 0 1
0 2 2
1 2 0
10 8
3 2 1
0 1 1
1 3 3
0 3 0
2 3 1
2 0 2
0 2 2
0 3 1
1 3 2
3 2 0
10 4
0 2 0
0 0 2
1 3 3
0 1 2
3 0 1
2 2 2
3 3 0
0 3 1
1 3 0
0 2 1
10 5
1 0 2
2 1 0
0 1 0
0 1 2
1 1 2
0 2 2
2 1 1
1 2 1
2 0 0
0 1 1
10 9
0 3 1
1 1 3
1 3 3
2 2 0
2 0 3
0 2 1
3 1 1
3 0 1
0 0 2
0 0 1
10 9
3 1 0
3 3 2
3 3 0
2 0 1
1 0 2
3 0 1
2 3 2
0 2 3
1 1 1
1 2 1
10 5
3 2 0
1 2 1
1 3 1
1 1 2
2 1 1
0 1 2
3 0 0
2 3 0
3 2 2
2 2 1
10 6
0 1 0
2 0 0
0 0 2
0 0 0
1 1 2
2 2 0
1 2 1
1 2 0
2 1 0
0 2 2
10 2
1 2 0
1 1 0
2 0 1
0 2 2
1 1 1
1 0 1
0 1 0
2 1 0
1 1 2
2 1 1
10 7
2 0 2
1 2 2
3 3 1
1 3 1
2 3 3
2 3 2
1 1 1
1 3 2
3 1 1
2 1 2
10 9
3 0 3
2 3 3
2 0 1
3 2 3
0 0 2
3 2 0
2 1 0
1 2 3
2 0 2
1 0 0
10 8
2 3 2
1 2 0
2 0 2
3 3 1
2 3 3
3 1 3
3 3 2
2 3 1
1 1 0
3 1 2
10 3
0 1 2
2 1 1
1 2 1
1 1 0
0 1 1
1 2 2
2 2 2
0 2 1
1 1 1
0 0 2
10 8
3 1 2
0 3 0
2 3 3
1 0 2
3 2 0
0 3 1
1 2 1
3 0 2
3 0 0
2 2 3
10 8
2 0 0
3 1 0
0 3 2
3 3 0
1 3 3
1 2 3
0 1 1
0 3 1
2 3 1
1 2 0
10 7
0 1 1
1 2 0
2 2 0
2 0 2
0 1 2
2 1 0
0 0 0
1 0 2
1 2 2
1 1 0
10 8
1 3 2
2 0 2
3 3 1
3 0 2
0 0 3
0 2 1
2 0 1
1 3 1
1 3 3
3 1 3
10 9
0 1 0
1 0 0
1 2 2
1 0 2
2 2 1
1 0 1
0 0 2
1 1 2
2 2 2
0 0 1
10 4
1 2 1
2 0 1
1 1 2
1 0 1
0 1 1
1 1 1
0 0 0
1 1 0
0 2 2
2 0 2
10 4
0 1 1
1 0 3
1 2 1
1 2 2
2 0 3
2 2 3
0 2 1
0 2 0
1 1 3
1 1 2
10 7
1 2 2
0 0 0
1 0 0
2 0 1
1 1 1
2 1 1
2 1 2
1 0 1
0 1 1
2 2 0
10 7
1 0 1
3 2 0
2 3 1
1 3 0
3 3 1
2 0 3
3 3 2
0 3 1
1 2 3
1 1 2
10 9
0 2 1
1 1 1
1 2 2
0 1 2
0 2 2
2 0 2
2 2 1
0 0 0
0 0 2
0 0 1
10 9
1 0 2
2 2 2
1 1 1
0 0 0
1 1 0
2 0 2
2 1 2
0 2 0
2 1 0
1 2 1
10 2
2 0 1
0 1 0
2 1 1
2 0 0
0 1 2
0 1 1
2 1 0
1 2 2
2 1 2
1 2 1
10 2
1 1 3
1 1 2
2 0 2
0 3 0
2 3 1
0 2 2
1 2 2
3 3 1
0 1 1
1 1 0
10 2
1 2 0
1 0 0
1 0 2
1 1 2
2 0 2
1 1 0
0 2 1
0 1 2
1 1 1
2 2 2
10 4
1 1 1
2 0 0
0 1 0
2 1 1
1 1 2
1 0 1
0 1 2
2 1 0
1 2 0
2 2 1
10 2
1 2 2
1 2 0
1 0 2
2 2 1
2 2 0
0 0 1
0 2 0
1 1 2
1 0 0
2 0 1
10 7
3 3 1
0 0 3
3 1 3
0 0 2
0 0 0
1 0 3
0 3 3
3 2 0
0 1 2
3 3 3
10 7
1 3 1
3 0 2
1 0 0
3 0 0
3 1 2
3 1 1
3 3 2
2 1 2
1 0 2
2 1 3
10 8
2 0 1
0 2 3
3 2 0
3 1 2
2 3 1
3 0 3
0 1 1
3 2 3
1 1 3
0 1 0
10 8
0 2 1
2 1 0
0 2 0
1 1 0
0 0 0
0 0 2
1 0 0
1 0 2
2 0 2
0 1 1
10 7
1 2 0
0 1 0
1 0 1
2 2 1
0 2 0
0 0 0
1 1 1
2 2 0
2 1 2
0 0 1
10 6
1 1 0
2 1 2
2 2 0
0 2 1
0 1 0
1 0 2
1 0 0
0 2 0
1 1 1
0 2 2
10 3
2 1 1
0 0 2
0 2 1
1 2 1
2 2 0
2 1 2
0 1 2
0 2 0
0 1 1
0 2 2
10 3
0 3 2
3 2 2
1 1 3
0 2 2
1 0 3
2 1 1
1 1 0
2 2 2
1 3 3
1 2 3
10 9
2 3 1
1 0 0
2 3 3
2 3 0
0 3 2
2 2 1
1 2 1
2 2 3
1 3 1
0 0 1
10 5
2 2 1
0 1 2
0 0 2
0 2 2
1 1 2
0 1 1
2 1 1
0 2 1
2 1 0
2 2 2
10 5
1 3 3
1 1 2
3 2 1
1 3 0
1 1 3
1 1 0
0 3 2
0 1 2
1 0 1
3 2 2
10 6
2 0 1
0 1 2
0 1 1
2 2 1
2 0 0
1 1 0
0 0 1
1 0 1
0 2 2
2 1 1
10 6
0 2 2
2 2 1
1 2 0
1 2 1
2 0 2
1 1 0
2 2 0
2 1 1
0 0 1
2 1 2
10 5
2 0 0
1 2 0
0 1 1
2 1 2
0 2 2
0 0 0
1 0 1
2 2 0
0 1 2
1 1 0
10 3
3 0 0
0 0 2
0 0 1
0 3 1
0 3 2
2 1 0
1 2 2
3 1 3
3 1 2
0 2 2
10 6
1 3 1
2 1 1
0 0 3
1 2 3
0 3 0
3 2 1
1 3 2
0 2 0
2 3 1
1 3 0
10 8
1 0 0
3 3 1
1 2 0
3 3 3
3 1 2
1 3 3
3 1 0
0 2 1
3 0 2
1 1 1
10 8
3 3 1
1 1 0
1 0 2
0 1 0
0 2 1
1 3 2
2 0 3
1 1 3
0 0 0
3 1 2
10 4
0 1 0
2 0 1
2 2 0
2 0 0
0 0 0
2 2 1
1 0 0
0 1 1
1 1 0
0 2 2
10 4
0 2 2
0 3 1
2 1 0
2 0 0
2 0 3
1 3 0
3 0 0
1 0 1
2 1 1
3 3 0
10 8
2 2 0
0 3 3
1 2 0
3 3 1
3 3 2
0 3 2
0 1 1
2 2 3
2 3 3
2 1 3
10 7
2 2 0
1 2 2
1 0 2
1 1 0
1 0 0
2 1 2
0 0 1
2 1 0
0 2 2
0 0 0
10 5
0 1 3
0 0 3
2 2 1
0 3 3
2 0 1
0 2 2
1 3 2
0 3 2
0 0 2
2 0 0
10 2
1 0 1
2 2 2
0 2 2
2 2 0
1 0 0
2 1 1
1 2 2
0 1 1
2 1 2
1 1 0
10 3
2 1 1
1 0 1
0 0 0
2 0 0
1 1 0
1 2 0
2 1 2
1 0 2
0 1 0
1 2 2
10 2
2 2 3
3 0 3
3 3 0
2 1 3
2 0 1
0 0 3
2 3 1
0 0 1
2 3 2
1 3 0
10 9
1 1 1
1 3 2
1 2 2
2 2 3
0 2 0
0 3 3
2 1 2
0 2 2
1 0 2
1 1 3
10 5
2 1 1
1 1 2
0 2 2
2 0 0
1 2 2
1 0 1
1 0 2
0 2 1
2 2 0
1 2 0
10 3
3 2 1
0 0 1
1 1 2
3 2 0
2 2 3
3 3 1
3 2 2
1 1 3
3 1 3
0 2 3
10 9
1 1 1
3 1 2
2 1 1
2 2 0
1 1 3
3 0 1
0 0 0
0 2 3
1 0 3
2 0 2
10 6
1 0 0
2 0 0
1 2 1
2 0 3
3 2 2
3 3 3
2 3 2
0 2 0
0 3 2
3 1 1
10 8
0 0 2
0 2 1
1 2 1
2 1 1
1 0 2
2 0 2
2 1 2
1 1 2
1 1 1
2 0 1
10 9
2 2 0
0 0 1
0 0 0
1 2 1
1 0 2
0 2 2
1 1 2
1 1 1
0 2 1
0 1 1
10 2
1 0 3
3 3 0
3 0 0
1 3 3
2 3 2
0 0 1
1 0 1
1 0 2
1 1 3
2 0 3
10 2
1 2 1
0 0 0
1 2 2
0 1 1
1 2 0
0 1 0
0 2 2
0 2 1
2 1 1
2 1 0
10 7
2 0 1
0 2 1
2 2 0
1 0 1
2 0 2
2 1 2
1 2 0
0 0 2
2 1 1
1 1 0
10 7
1 2 1
3 0 0
0 0 3
1 0 0
3 1 0
1 2 2
1 1 0
0 0 1
1 3 2
3 3 3
10 2
2 1 2
3 3 3
0 1 3
1 0 0
2 2 0
2 3 3
3 1 3
2 2 3
1 2 0
1 1 3
10 4
0 1 1
1 1 2
2 0 0
1 3 3
0 1 2
3 3 2
2 2 2
1 2 0
3 2 2
0 3 0
10 7
0 0 2
2 0 0
0 1 1
0 0 0
0 2 1
2 0 1
2 2 0
2 0 2
0 2 0
1 1 1
10 8
1 3 1
1 0 1
2 0 0
0 0 2
0 0 0
1 2 2
2 2 0
1 0 2
0 3 1
3 0 3
10 6
2 1 1
2 2 2
1 0 0
2 1 0
2 2 0
0 0 1
1 1 0
2 0 0
0 2 0
1 2 0
10 4
0 0 2
1 0 0
2 1 2
0 1 2
2 2 0
0 0 1
1 2 2
0 2 2
2 0 2
2 1 0
10 6
2 0 1
0 1 1
1 0 2
2 2 2
1 0 1
2 1 1
2 0 0
2 2 0
0 0 1
0 1 0
10 3
1 0 2
1 0 1
0 0 1
2 2 1
2 0 2
0 2 0
0 1 0
1 0 0
1 1 2
1 1 1
10 9
0 0 0
1 2 0
0 2 0
0 0 1
0 1 0
1 1 1
2 2 0
1 0 2
1 0 0
2 0 2
10 6
1 0 1
1 1 1
0 2 1
1 2 1
0 0 0
0 2 2
0 0 2
1 1 2
1 0 0
2 0 2
10 6
1 2 0
1 1 0
2 1 1
0 1 0
0 2 2
2 2 0
2 0 1
1 0 2
2 2 1
1 1 1
10 5
1 1 0
2 2 0
0 2 1
2 2 2
0 0 1
0 1 0
0 0 0
1 2 1
0 1 2
1 1 1
10 4
0 3 2
1 0 1
2 3 3
2 1 0
0 2 1
3 3 1
3 2 0
3 0 1
1 2 2
1 1 1
10 8
0 1 0
0 0 1
2 1 1
2 0 1
0 1 2
1 2 1
0 2 2
1 0 1
2 2 1
0 2 1
10 7
1 2 1
1 2 2
2 2 1
2 0 0
0 0 2
2 0 2
0 0 0
1 1 0
0 1 0
2 2 0
10 2
2 2 0
1 2 0
2 1 2
1 0 1
0 0 2
0 0 1
0 1 2
0 1 0
0 2 0
2 0 1
10 3
2 0 0
2 1 1
1 1 2
2 1 0
1 1 0
2 0 1
2 2 1
0 0 0
0 1 1
0 0 2
10 2
0 2 3
3 1 2
0 3 1
1 0 1
2 0 0
2 2 1
2 3 2
3 0 1
0 2 1
1 0 0
10 5
0 0 0
1 3 1
0 0 1
3 2 2
0 0 3
3 2 1
0 3 2
3 1 3
2 2 1
0 2 3
10 6
0 1 1
1 2 2
1 0 1
1 0 2
0 0 3
2 1 0
2 0 2
3 1 3
1 2 0
3 0 3
10 4
3 3 1
1 0 2
3 1 1
3 2 0
1 0 3
0 2 3
3 2 1
2 3 0
3 3 3
0 1 2
10 8
1 1 1
0 2 0
0 0 1
0 1 0
2 1 2
2 0 2
1 1 0
1 0 0
0 0 0
0 2 1
10 5
1 0 1
3 3 3
1 3 0
3 0 0
2 2 0
3 3 1
0 3 0
1 1 1
1 0 0
3 2 0
10 8
0 2 2
1 0 0
1 2 1
1 1 1
2 2 2
1 1 2
0 0 0
2 1 2
2 2 0
0 2 0
10 9
0 0 3
3 0 3
2 1 2
1 1 3
2 2 1
1 2 3
1 3 3
3 1 1
3 0 1
3 3 3
10 4
0 3 1
3 3 3
3 0 1
3 1 3
2 2 3
0 1 3
0 1 0
2 3 2
0 0 1
3 3 0
10 6
2 0 2
1 0 1
1 2 1
2 2 0
0 2 0
1 0 2
0 0 1
2 1 2
0 1 1
2 1 1
10 2
0 0 0
0 0 1
1 0 1
0 0 2
1 2 0
1 1 0
0 2 2
1 1 2
2 1 1
2 0 1
10 2
0 2 2
1 0 2
0 2 1
1 1 2
2 0 1
2 2 1
2 0 0
1 2 1
2 1 2
1 1 0
10 2
1 2 0
2 1 2
1 3 0
2 0 1
2 2 1
3 1 1
3 1 2
0 0 0
2 3 3
0 1 3
10 4
3 1 1
1 0 2
0 0 0
2 0 2
3 2 3
3 1 3
1 0 0
3 2 1
0 3 1
0 1 0
10 7
0 0 0
2 0 0
2 1 0
1 2 0
1 1 2
0 1 1
0 2 1
1 2 2
2 2 0
0 0 2
10 9
3 0 3
1 3 2
1 2 2
3 0 1
3 2 3
1 0 2
0 1 0
2 1 1
1 0 1
0 1 3
10 6
1 1 0
1 2 3
3 1 3
1 1 3
3 2 0
1 3 1
2 1 0
1 0 3
3 2 1
2 0 0
10 2
1 1 2
2 1 1
1 0 0
1 1 1
0 1 2
0 1 1
2 0 1
2 2 0
0 2 2
2 1 0
10 8
0 2 0
0 0 1
2 1 1
0 0 2
1 0 2
1 1 0
2 2 1
0 2 1
2 2 2
1 0 1
10 5
3 2 1
3 2 0
2 1 0
0 0 2
2 2 1
3 3 0
3 0 0
2 3 3
0 2 2
3 2 3
10 5
3 1 0
2 2 0
1 3 3
2 2 3
3 3 3
3 0 2
2 0 0
0 3 0
3 1 1
2 2 2
10 4
1 1 0
3 1 0
2 3 3
2 0 3
2 3 0
1 3 3
1 2 1
1 0 2
3 2 3
2 0 2
10 8
0 2 2
3 3 0
1 3 0
3 1 1
2 0 2
1 1 1
1 0 3
2 3 3
2 3 0
2 1 1
10 2
0 2 2
1 2 0
0 1 0
0 2 0
1 1 1
1 1 0
1 0 2
1 1 2
0 1 2
1 0 1
10 8
2 0 0
3 1 2
2 1 3
3 3 0
3 3 1
3 2 3
3 2 1
0 3 0
2 3 0
2 2 2
10 9
1 3 0
0 2 1
0 1 1
2 1 2
1 2 0
2 3 2
0 1 0
2 0 3
0 2 2
0 3 2
10 5
2 0 2
0 3 2
0 2 0
0 3 1
3 1 0
0 2 2
3 1 1
0 0 1
2 0 0
1 1 2
10 5
1 0 0
2 0 3
1 0 3
2 2 2
0 1 2
0 2 1
0 3 0
1 2 1
1 2 3
2 2 0
10 4
0 0 0
0 2 2
2 2 0
1 2 0
0 2 1
1 0 2
2 1 1
2 1 0
0 1 1
2 0 1
10 8
1 1 0
0 1 0
1 2 0
2 1 2
2 2 2
1 0 1
0 1 1
2 0 2
0 0 0
2 0 1
10 2
1 2 2
2 0 2
0 2 1
0 0 0
0 2 2
2 2 2
1 2 1
2 0 0
0 0 2
1 1 0
10 3
2 0 1
2 2 0
0 0 0
0 1 2
0 2 1
2 1 2
0 0 1
2 1 1
2 1 0
1 2 2
10 5
2 0 2
0 2 1
0 0 1
1 2 2
0 2 2
0 0 0
1 0 1
0 1 2
1 1 0
0 2 0
10 7
0 1 1
0 2 0
2 0 2
1 2 2
2 1 2
0 2 1
2 0 0
2 2 0
1 2 0
1 0 1
10 6
3 2 3
2 3 2
3 1 3
1 0 1
1 0 0
1 0 3
0 3 3
3 2 2
1 2 0
3 1 2
10 7
3 0 3
0 0 1
3 1 3
1 3 0
2 0 3
0 1 3
3 2 3
3 0 2
0 1 0
2 1 3
10 5
1 0 0
0 2 2
0 2 1
1 2 2
1 0 2
2 1 2
0 1 2
0 1 0
2 1 1
2 2 0
10 2
2 3 0
3 1 3
3 2 1
1 3 0
1 3 1
1 3 2
2 2 3
0 0 3
1 2 2
2 2 0
10 8
2 0 3
1 0 0
1 3 1
3 1 2
2 2 0
2 1 0
3 0 1
3 1 3
2 0 0
3 2 0
10 2
3 3 1
0 3 0
1 1 3
1 3 0
1 3 1
2 2 2
2 3 1
0 2 0
3 2 3
2 0 0
10 3
2 2 2
0 0 1
1 1 2
1 0 1
2 1 2
0 0 2
0 2 2
0 1 0
0 0 0
0 2 0
10 3
2 1 1
1 0 2
1 1 0
1 1 2
0 2 1
0 2 2
0 0 0
1 2 2
1 2 0
2 0 1
10 4
1 1 1
2 2 0
2 0 0
1 2 1
2 0 1
1 0 0
0 1 1
2 1 0
0 2 2
1 2 0
10 8
0 0 3
3 3 1
0 2 3
3 1 2
2 2 2
0 0 0
2 3 2
2 0 3
1 1 2
1 3 0
10 9
0 0 0
0 2 2
0 0 1
1 2 2
0 1 0
0 2 1
2 1 1
2 0 2
1 0 2
0 1 2
10 8
1 0 1
0 2 0
0 0 2
0 2 1
2 0 2
1 2 2
2 1 2
0 0 0
1 0 0
2 1 1
10 3
3 1 3
3 1 0
2 2 3
2 3 1
3 1 1
0 2 2
3 2 2
2 1 2
1 3 3
2 2 2
10 8
2 0 2
2 0 1
0 2 0
0 2 1
0 2 2
0 1 2
1 1 0
2 2 2
0 0 2
1 0 0
10 2
3 2 0
3 0 2
1 3 0
3 1 1
1 0 0
1 0 1
1 3 3
2 3 1
1 2 0
0 1 0
10 8
1 0 0
0 1 0
0 0 2
1 2 2
2 0 1
1 0 1
1 2 0
2 0 2
2 2 0
0 2 1
10 7
0 3 0
2 3 2
1 0 3
3 1 0
3 2 3
3 1 2
0 1 0
3 0 1
0 1 1
2 0 1
10 8
2 1 3
1 0 2
3 1 0
2 3 0
2 2 3
0 3 0
0 0 0
1 0 1
0 2 2
2 3 3
10 2
2 0 2
2 3 3
2 1 0
2 1 2
0 2 3
1 3 0
2 0 1
2 1 3
3 2 3
2 3 2
10 9
0 3 0
0 2 3
1 0 0
1 2 0
1 1 1
3 1 3
1 3 2
2 1 3
0 0 3
3 3 3
10 3
1 2 1
2 1 3
2 1 0
1 2 0
1 0 3
3 0 0
1 0 2
0 1 0
2 3 0
1 1 0
10 8
3 2 0
0 1 2
2 0 0
0 0 0
0 0 1
2 3 1
0 1 1
1 1 1
2 0 3
0 0 3
10 8
3 0 3
2 1 0
1 1 1
2 3 2
2 3 0
1 2 3
3 1 0
0 2 3
2 2 2
3 3 3
10 3
3 2 2
0 0 3
0 0 2
3 1 2
1 1 0
2 2 3
3 0 0
2 1 0
0 0 1
3 3 3
10 2
2 2 0
2 1 2
0 0 3
1 3 3
0 3 3
0 0 0
3 1 0
1 1 0
1 2 3
2 0 0
10 4
1 2 0
1 0 0
0 2 1
1 1 1
1 2 1
0 0 1
2 2 0
2 1 0
2 0 2
0 1 2
10 7
2 1 2
2 2 1
2 0 2
1 0 0
0 0 1
2 0 1
0 1 2
0 1 1
2 1 0
2 0 0
10 9
0 2 0
2 2 2
1 0 2
2 1 2
1 0 1
2 2 0
1 1 2
1 1 0
0 2 2
1 1 1
10 7
2 0 1
1 1 0
0 2 0
0 1 1
0 2 2
0 1 0
2 0 2
0 0 2
0 2 1
1 2 2
10 2
1 1 0
1 3 3
0 0 1
2 2 2
3 1 3
2 3 0
3 1 0
1 2 0
1 2 2
2 3 3
10 4
1 2 1
1 1 2
1 2 2
2 2 2
1 1 1
2 1 1
0 1 0
1 0 1
1 1 0
1 0 2
10 9
0 2 3
2 1 1
3 0 3
2 1 0
0 3 0
0 2 1
1 0 2
1 3 1
0 0 1
2 0 1
10 4
0 1 2
0 1 0
1 0 0
0 0 0
1 1 2
0 1 1
1 1 0
1 2 1
1 2 0
2 1 2
10 6
0 0 2
2 0 0
1 2 2
1 0 0
0 2 0
0 1 1
2 2 2
0 1 2
2 0 1
1 1 2
10 9
3 0 1
2 2 2
2 3 0
1 0 1
1 1 0
2 0 2
2 0 3
3 1 1
0 0 2
1 3 3
10 8
2 3 3
1 1 3
3 3 2
1 2 2
0 1 2
3 2 0
3 1 0
3 3 1
1 1 1
0 0 2
10 8
2 0 3
3 1 3
3 1 2
3 0 1
3 1 1
0 3 2
3 1 0
0 1 0
3 0 3
0 3 3
10 9
3 2 1
2 1 0
0 2 1
1 0 0
1 2 2
2 2 2
0 3 0
1 3 2
0 3 2
3 0 0
10 7
2 1 2
1 0 1
2 2 1
0 1 0
2 2 2
1 1 1
0 2 0
0 1 1
1 1 2
1 2 1
10 6
2 1 1
0 0 0
1 0 0
1 2 2
1 2 0
2 2 1
2 1 2
2 2 0
2 2 2
0 1 2
10 6
0 1 3
1 0 1
0 1 2
1 2 0
1 3 3
3 2 3
0 3 0
0 3 2
1 2 2
0 2 0
10 7
0 1 1
1 2 2
1 1 1
0 1 0
2 2 0
0 1 2
1 1 0
2 0 1
2 1 0
2 2 1
10 2
1 0 0
2 1 2
2 0 2
3 0 0
1 0 2
1 1 1
3 0 2
0 1 1
3 2 1
3 2 0
10 5
0 2 1
0 2 0
1 2 0
2 0 1
1 0 2
0 2 2
1 2 1
2 0 2
1 2 2
0 1 0
10 6
2 2 1
0 0 0
1 2 1
2 1 2
1 1 0
1 1 2
0 0 2
1 0 0
2 0 2
2 1 0
10 2
1 0 2
1 1 2
2 1 2
2 0 2
1 2 1
0 0 1
0 0 2
0 0 0
0 2 0
0 1 2
10 6
2 2 3
3 0 0
1 1 2
0 3 0
3 0 2
0 2 0
1 1 1
0 0 3
2 3 1
2 1 3
10 6
2 3 0
1 1 2
1 2 3
3 1 1
2 1 2
3 0 1
3 2 3
2 1 1
1 3 1
2 3 1
10 3
1 0 0
0 0 1
1 0 1
1 2 2
2 0 2
2 2 0
1 1 0
0 1 2
1 2 1
1 1 2
10 8
3 2 2
0 1 1
0 0 2
2 1 1
3 1 3
2 1 2
3 1 2
0 3 0
1 0 2
3 0 2
10 4
2 2 1
1 2 1
2 0 1
1 1 2
0 0 2
1 1 1
0 0 0
1 0 2
2 0 0
2 2 0
10 4
1 2 0
1 1 0
2 0 1
0 1 2
2 1 2
2 2 1
1 2 1
2 0 0
2 2 0
2 1 1
10 5
1 3 3
2 0 2
0 1 1
3 0 3
3 2 0
0 3 2
0 2 3
0 2 2
2 3 1
1 3 0
10 2
0 2 1
2 0 3
2 0 0
0 3 0
0 0 0
1 0 1
2 3 2
3 2 0
1 3 2
2 1 3
10 5
3 1 2
0 0 2
3 0 3
1 0 0
0 3 0
3 2 1
3 1 3
3 1 1
1 2 1
2 0 0
10 8
2 0 1
0 1 1
2 0 2
1 0 1
0 1 0
1 1 2
1 2 1
0 2 1
1 2 2
1 1 1
10 4
3 3 3
0 2 2
3 3 1
3 0 1
3 0 3
0 2 3
1 0 0
2 3 3
2 0 0
2 3 1
10 6
0 0 3
1 1 3
0 0 2
1 3 1
0 3 0
3 0 1
1 0 2
3 3 1
2 0 2
0 3 3
10 4
0 2 1
2 2 1
0 2 2
1 0 2
2 1 0
0 1 2
2 0 0
1 2 0
1 2 2
2 2 2
10 2
0 2 3
3 1 3
1 3 3
1 0 1
3 2 2
0 3 2
3 0 0
3 2 0
3 1 1
0 1 1
10 2
1 2 1
2 0 1
2 3 3
0 3 3
0 0 1
0 0 3
0 1 0
0 1 2
1 3 2
1 1 2
10 5
1 0 1
2 1 1
0 0 2
1 1 1
2 2 0
1 2 1
2 2 1
2 1 0
0 2 0
0 2 1
10 6
0 2 2
2 2 1
1 2 0
2 1 1
1 2 2
2 2 2
2 1 0
1 2 1
1 1 0
0 2 1
10 8
2 2 1
0 2 0
1 1 1
3 2 0
3 3 0
2 0 2
0 1 2
1 0 0
3 2 3
1 3 3
10 7
1 3 2
3 2 2
0 3 2
3 3 3
1 0 2
0 3 3
1 3 3
3 0 2
0 0 2
2 2 1
10 2
1 1 2
2 1 2
2 1 1
0 0 0
2 1 0
0 2 0
0 2 1
2 0 1
1 0 2
0 1 2
10 9
2 2 1
0 0 1
1 1 0
0 0 2
1 0 0
2 2 0
1 0 2
0 0 0
2 0 2
0 2 2
10 6
2 1 1
1 0 1
0 2 0
0 2 2
2 2 2
2 0 0
1 1 1
0 0 2
2 1 0
2 2 0
10 5
2 2 0
2 3 3
3 2 1
2 0 1
2 1 0
0 0 0
0 3 1
3 1 1
0 1 1
0 1 3
10 5
2 3 1
1 1 1
0 1 2
1 0 3
2 1 0
3 0 1
2 2 0
2 3 2
1 1 0
2 0 0
10 3
2 2 0
2 0 2
1 0 2
2 0 0
2 2 1
2 1 2
0 0 2
2 1 0
1 1 1
1 2 2
10 3
1 2 2
3 1 0
1 0 0
0 1 3
0 0 1
1 2 3
1 2 0
0 2 3
2 0 0
2 2 1
10 4
1 1 2
0 2 2
0 2 0
2 1 0
2 1 1
0 1 2
2 0 1
1 2 0
1 1 0
0 2 1
10 8
2 1 1
2 1 2
2 0 0
1 2 2
0 0 0
1 0 0
1 0 1
0 2 0
1 1 2
0 1 1
10 9
2 0 1
1 0 2
1 1 1
2 2 0
2 2 3
3 2 3
1 2 0
0 2 3
0 1 0
3 0 3
10 8
1 0 0
0 0 1
2 3 0
3 3 3
2 3 1
0 2 2
1 3 2
1 3 3
1 2 3
1 3 0
10 5
0 2 1
0 0 1
2 1 1
0 0 2
1 2 1
3 3 1
3 0 0
0 1 3
2 1 3
3 0 3
10 6
2 1 2
0 1 1
2 2 1
1 1 2
0 1 0
0 0 2
0 0 1
2 1 1
1 2 0
1 2 2
10 9
3 2 3
1 1 1
0 3 2
1 0 1
3 0 3
1 2 1
2 2 1
1 1 0
0 1 0
3 3 1
10 5
2 2 3
3 1 1
2 3 2
3 3 2
1 1 0
2 0 0
1 3 0
1 1 3
2 0 1
0 0 1
10 8
2 0 2
0 2 2
0 0 2
1 1 1
2 2 0
1 1 2
0 0 1
1 0 1
1 2 2
1 2 0
10 9
2 3 2
2 2 0
2 0 0
1 1 3
3 2 2
1 1 2
2 1 2
2 2 1
3 0 0
0 1 0
10 8
3 2 3
3 3 3
2 1 1
1 2 1
1 2 0
2 1 3
1 1 1
3 3 2
0 2 2
2 2 1
10 2
2 2 1
0 1 0
1 2 1
1 0 2
1 1 0
2 0 0
2 2 0
1 2 0
1 1 2
2 1 2
10 8
2 2 1
3 0 0
0 3 0
3 3 1
0 1 2
1 2 0
2 2 3
1 1 1
3 2 1
2 0 0
10 5
0 1 0
2 0 0
0 2 0
1 1 0
0 0 1
2 2 1
0 2 2
1 0 1
1 2 2
0 0 0
10 3
2 3 1
0 3 2
3 3 3
0 2 1
1 0 3
0 1 1
2 0 2
2 1 0
1 3 2
2 2 0
10 9
2 1 0
1 1 0
2 0 0
1 2 1
0 2 1
0 0 1
1 2 0
1 2 2
0 1 1
0 1 2
10 8
2 0 1
1 0 2
1 0 0
1 2 1
0 0 2
2 2 1
0 1 1
1 1 0
1 1 1
2 1 2
10 8
0 0 0
2 2 0
2 1 0
0 2 1
2 1 1
1 2 0
1 1 0
0 2 0
1 2 1
0 1 0
10 9
2 3 3
1 0 0
1 1 3
2 1 3
0 0 2
3 1 3
2 3 0
2 0 0
3 3 3
3 2 2
10 7
1 2 2
1 1 0
2 1 0
2 2 2
0 0 1
1 2 1
1 1 1
2 2 1
0 0 2
1 0 0
10 9
0 1 0
0 2 1
1 2 0
2 0 2
1 2 1
0 1 1
2 2 0
1 1 2
0 0 0
0 0 2
10 5
0 2 0
1 1 0
2 2 2
3 0 0
0 0 0
0 3 2
3 2 0
1 1 3
3 1 0
1 0 0
10 6
0 0 1
0 0 2
1 0 1
2 1 2
0 0 0
0 1 0
2 2 2
1 2 0
0 1 2
2 2 1
10 3
2 0 1
2 1 3
0 2 2
0 3 2
2 0 3
0 1 3
0 2 3
3 1 1
0 3 0
1 0 1
10 9
2 2 1
2 1 1
1 1 1
0 0 0
2 0 2
2 1 2
1 0 1
0 2 1
0 2 2
0 1 1
10 2
0 0 1
2 2 0
1 1 1
0 0 2
2 1 1
1 0 1
1 2 0
2 2 2
0 1 2
1 0 0
10 5
0 2 0
1 3 3
1 3 2
3 3 2
1 2 1
1 2 3
2 1 0
3 2 1
3 2 2
2 2 2
10 5
0 1 1
0 0 2
0 3 0
2 2 0
1 0 1
0 2 0
2 3 2
1 0 0
1 1 0
1 2 0
10 7
1 2 2
2 2 2
0 2 1
0 1 2
2 1 0
0 0 1
2 2 1
0 2 0
2 2 0
1 1 0
10 9
1 0 2
1 2 0
3 0 2
2 3 2
3 2 1
2 3 3
0 0 0
3 2 2
0 1 2
1 1 1
10 7
3 0 1
3 2 2
3 3 3
3 2 1
3 2 3
0 2 2
1 2 1
0 1 2
1 3 1
0 0 0
10 4
1 3 2
0 3 1
0 2 3
1 2 3
2 1 3
2 2 2
0 1 0
0 0 3
3 0 2
2 1 2
10 9
2 3 0
0 2 3
3 0 2
0 0 2
0 0 0
2 0 3
2 0 2
0 2 0
2 1 1
1 3 1
10 9
0 1 2
0 1 0
1 1 2
2 0 2
0 2 1
2 1 1
0 2 0
2 1 0
1 2 1
2 0 1
10 9
3 2 0
0 2 1
0 0 0
2 0 3
0 2 0
0 2 3
1 1 3
0 0 3
3 1 0
1 1 0
10 8
3 2 2
2 0 3
0 0 3
2 2 3
1 3 0
0 1 3
0 2 1
0 0 1
3 0 3
1 2 2
10 5
1 3 0
1 2 0
0 1 2
2 0 0
1 3 2
2 1 2
0 2 3
1 0 3
1 2 1
1 3 3
10 8
0 3 1
0 3 0
2 3 0
2 1 1
0 1 1
3 0 0
2 2 2
2 0 0
1 3 3
2 2 3
10 8
3 3 0
3 0 0
1 3 2
1 0 1
2 0 3
3 1 0
3 0 1
0 0 1
0 2 3
2 3 1
10 5
1 0 0
1 2 1
0 2 0
2 2 0
2 1 1
0 1 2
0 2 2
2 2 2
2 0 0
0 2 1
10 5
1 0 0
0 2 2
3 2 0
0 0 3
1 3 1
0 0 1
3 3 0
2 2 2
2 3 3
1 2 2
10 5
1 1 2
1 2 2
2 1 2
1 0 0
1 2 0
0 1 2
2 1 1
0 1 1
0 2 1
1 1 1
10 3
0 2 2
2 1 2
2 0 2
0 0 1
0 1 1
0 2 0
0 0 2
0 0 0
1 1 2
1 2 1
10 5
0 0 0
2 2 0
2 0 3
1 0 1
3 2 2
3 0 3
2 2 1
2 3 2
1 3 1
3 0 1
10 7
1 0 2
2 2 1
2 0 1
1 1 0
0 1 0
1 0 1
2 1 2
0 2 2
0 0 0
0 1 2
10 9
0 2 0
1 1 0
1 2 0
1 2 1
1 1 1
2 0 1
0 2 2
2 1 2
0 0 1
1 1 2
10 2
3 1 0
3 0 0
1 2 1
1 3 2
1 2 3
0 3 3
2 3 1
2 2 2
2 1 0
3 3 1
10 6
1 0 2
3 3 0
0 2 1
1 0 3
3 0 3
1 3 2
2 0 3
2 0 2
0 1 2
1 3 0
10 8
3 2 1
1 1 1
0 1 0
3 1 2
3 0 3
3 3 1
3 0 2
3 3 0
0 1 1
1 1 0
10 4
0 2 1
2 1 2
1 0 0
1 2 2
0 1 2
1 1 0
2 2 0
1 0 1
0 1 1
1 1 1
10 4
2 0 1
2 1 2
1 2 0
0 0 1
1 2 1
2 2 1
0 0 0
2 1 0
2 0 0
2 2 0
10 6
2 1 0
1 0 0
2 0 2
0 2 2
2 1 1
1 2 0
2 1 2
0 1 1
0 0 1
1 0 2
10 2
2 2 3
1 3 2
3 2 0
3 1 0
2 2 0
2 1 3
3 3 3
2 1 1
1 1 1
0 1 1
10 7
1 0 3
2 2 0
2 0 0
3 2 1
1 0 2
3 1 1
3 3 1
1 0 1
1 2 0
0 0 3
10 6
2 1 1
1 1 1
1 2 1
2 0 2
1 0 1
1 0 0
2 0 1
0 0 1
1 0 2
1 1 0
10 8
3 1 0
2 2 0
1 2 3
1 3 1
3 1 1
2 0 2
1 0 2
1 1 1
3 2 1
0 2 1
10 5
2 1 2
2 1 0
0 0 0
0 0 2
1 1 0
0 2 0
2 2 1
2 2 0
0 1 2
0 1 0
10 7
0 3 3
3 1 3
1 2 2
0 3 1
3 0 1
0 0 3
3 1 0
2 2 3
2 3 2
2 2 1
10 7
2 1 1
0 1 1
1 0 0
1 1 2
1 0 2
1 2 1
2 0 2
0 0 0
0 0 1
0 1 2
10 5
1 1 0
0 2 0
1 2 2
0 2 2
0 1 2
1 0 2
2 2 2
1 1 2
0 1 1
2 0 1
10 6
2 1 0
0 0 0
0 2 2
3 1 2
3 2 3
2 0 1
2 3 0
2 1 3
1 2 2
1 3 0
10 8
0 1 1
1 0 2
2 0 1
0 1 2
1 2 0
0 2 2
1 2 1
2 1 2
2 2 2
2 2 0
10 7
1 2 0
1 1 2
1 2 3
0 0 1
0 2 0
3 0 2
1 3 3
3 2 0
1 1 1
2 0 3
10 8
1 1 1
0 2 1
0 0 2
2 1 1
2 1 0
0 2 2
0 2 0
1 2 1
2 0 1
0 1 2
10 6
1 0 1
2 0 1
3 1 1
1 3 3
3 1 3
3 3 0
0 2 2
1 2 2
3 1 2
0 3 3
10 6
1 2 0
0 2 1
0 0 2
0 0 1
0 1 2
0 1 1
2 2 1
2 0 0
2 2 2
0 2 2
10 8
2 0 3
1 2 2
1 3 2
3 1 0
3 1 1
3 2 3
2 1 1
0 2 0
1 1 0
3 3 2
10 2
1 3 3
0 2 2
0 0 0
2 2 0
3 2 2
1 2 0
2 0 3
3 2 1
3 3 3
2 1 1
10 7
2 2 0
2 0 0
1 0 0
2 0 2
0 2 1
1 0 1
0 0 2
0 1 1
2 0 1
1 1 1
10 3
2 3 2
2 2 1
1 3 0
3 0 3
2 1 0
2 1 1
0 2 2
3 2 0
1 1 0
1 2 2
10 9
0 1 1
1 0 1
1 2 3
1 1 2
0 0 2
0 3 0
0 2 2
2 3 0
1 2 0
1 1 0
10 4
0 1 0
0 3 2
1 1 2
0 1 2
3 0 0
3 0 1
2 0 1
0 0 0
1 0 2
3 2 0
10 2
0 2 0
0 0 3
2 1 2
1 3 0
1 0 2
0 1 3
1 2 1
2 1 1
2 2 1
0 3 3
10 2
1 2 0
2 1 2
1 2 1
0 2 2
1 2 2
0 2 0
2 1 0
1 0 0
0 1 1
1 1 0
10 6
1 1 1
1 2 0
2 1 0
1 1 0
1 0 2
1 1 2
0 2 2
0 0 2
0 0 0
0 2 0
10 8
2 0 0
2 1 0
2 2 2
1 2 2
2 2 1
2 1 2
0 0 2
2 0 1
0 2 1
0 2 0
10 6
1 1 1
1 0 1
0 1 2
1 2 0
1 1 2
1 2 1
0 0 1
1 0 2
0 1 1
2 2 1
10 2
1 1 0
3 0 1
0 2 2
2 3 3
1 3 3
3 3 3
3 0 0
1 3 0
2 0 0
3 2 0
10 7
2 1 0
0 0 2
0 1 0
1 2 0
0 1 2
2 2 0
1 0 2
0 2 1
1 1 2
0 2 0
10 5
3 1 3
1 3 3
3 0 3
1 1 2
2 0 1
2 2 1
3 0 2
3 2 0
2 1 1
0 1 3
10 7
0 1 2
0 0 0
1 2 1
2 0 2
1 0 1
2 1 2
0 2 0
2 1 1
0 1 1
2 2 2
10 3
2 0 1
0 0 0
2 0 0
2 2 2
1 2 1
3 0 3
0 2 0
3 1 2
1 1 0
1 3 0
10 7
0 3 3
3 2 2
1 3 3
2 3 2
3 1 0
3 3 2
3 2 3
0 1 0
2 1 2
0 0 0
10 3
1 2 0
1 0 1
1 2 1
1 2 2
0 0 0
0 1 2
2 0 1
2 1 2
2 0 2
2 1 1
10 9
0 0 2
1 0 2
2 1 0
1 2 1
1 0 1
2 1 2
0 2 2
2 2 2
2 2 0
1 2 2
10 3
2 2 2
2 2 0
0 2 2
2 1 0
0 2 0
2 1 2
1 0 2
1 2 2
0 1 2
2 0 1
10 6
0 0 1
1 3 1
2 2 0
2 0 1
1 2 1
0 0 2
2 3 3
2 2 1
3 2 3
2 2 3
10 3
3 1 0
1 1 2
0 1 1
1 3 1
1 0 2
3 2 1
0 2 1
1 2 0
0 0 0
0 3 0
10 5
2 1 2
0 2 0
1 1 1
0 0 1
2 2 1
2 0 0
1 2 0
1 1 2
0 0 2
1 1 0
10 8
1 0 1
1 2 2
2 1 3
3 3 1
1 1 3
2 2 2
2 0 1
2 1 1
2 3 0
0 0 1
10 3
0 0 1
0 1 1
1 0 0
1 2 1
2 1 1
0 1 0
2 2 0
1 1 1
2 1 2
1 0 2
10 5
3 1 1
2 0 3
1 3 1
2 0 2
2 1 1
0 0 1
2 2 0
2 0 1
0 0 0
2 3 1
10 4
2 2 0
2 0 0
1 1 0
0 2 1
2 2 2
2 1 1
2 0 2
2 1 2
0 2 0
0 0 1
10 7
1 3 3
1 0 1
0 1 2
2 1 3
0 3 2
2 1 1
3 1 3
3 0 0
1 1 1
1 2 2
10 7
0 3 1
1 0 2
2 0 0
1 1 2
1 0 1
3 1 3
0 0 3
0 3 2
1 2 1
3 3 1
10 8
0 2 3
3 2 2
2 1 2
0 0 3
3 0 1
3 3 3
3 2 1
0 3 0
0 1 3
1 0 1
10 4
2 1 1
1 1 2
2 2 1
2 2 0
0 2 0
0 1 0
1 0 0
0 0 1
1 0 2
2 0 0
10 3
2 0 0
1 1 0
2 1 0
0 2 1
0 1 2
2 2 2
1 1 1
1 2 0
2 1 2
0 2 0
10 4
0 0 2
2 1 0
0 0 1
0 2 1
2 2 0
1 0 2
0 0 0
1 0 0
1 2 0
1 2 2
10 9
0 1 2
0 1 0
2 1 1
1 0 1
1 2 1
2 1 2
2 2 2
0 2 0
1 0 0
1 1 2
10 2
3 3 3
1 1 0
1 1 3
0 2 3
2 2 0
2 1 1
3 2 3
2 3 3
3 1 0
3 0 0
10 5
2 0 2
2 1 2
2 2 0
1 1 0
2 0 1
1 1 1
2 1 1
1 2 2
2 1 0
1 0 0
10 3
1 3 0
3 2 2
2 2 3
1 1 0
1 3 3
0 3 3
3 3 0
1 3 2
3 3 3
1 2 0
10 7
1 2 1
3 1 2
0 1 0
3 0 0
3 1 0
0 2 0
2 2 0
3 3 0
3 0 1
0 2 3
10 4
1 2 0
3 2 3
0 3 2
0 3 1
1 3 2
1 3 1
3 2 0
1 0 0
0 2 3
2 2 2
10 7
1 3 2
2 2 0
3 1 2
1 0 1
0 0 2
2 3 0
0 2 1
1 0 0
1 2 1
3 2 2
10 2
0 3 2
0 1 2
2 3 2
1 0 3
3 2 0
0 1 1
3 0 3
1 0 1
3 2 3
3 1 2
10 2
1 1 2
2 0 0
0 1 1
0 1 0
1 1 1
2 0 1
1 1 0
2 1 0
1 0 1
1 0 0
10 4
2 2 0
0 1 1
2 0 0
2 1 2
2 2 1
2 1 1
0 1 2
0 2 0
1 2 0
1 2 1
10 3
2 1 1
0 0 0
0 1 0
2 1 0
0 1 1
2 2 1
1 1 1
2 2 2
1 0 1
0 2 2
10 9
2 0 1
2 0 0
1 1 2
2 2 1
2 0 2
2 1 1
0 1 0
1 2 2
2 1 2
1 0 0
10 2
2 2 2
0 1 2
0 2 1
1 1 1
0 1 0
2 0 0
2 2 0
0 1 1
1 0 0
1 1 0
10 7
1 2 1
1 2 3
3 3 0
2 1 2
0 3 1
2 1 1
3 1 0
2 3 3
3 0 3
2 0 2
10 4
2 1 0
2 1 2
0 0 1
1 1 2
1 2 0
0 2 0
2 0 0
2 0 1
0 2 1
0 2 2
10 3
0 0 0
2 2 1
2 1 0
1 1 2
0 1 2
1 0 2
0 0 2
2 0 1
1 2 2
2 0 0
10 3
1 3 3
0 0 1
3 3 0
3 1 1
0 0 0
2 1 3
0 3 0
0 3 2
2 2 2
1 2 1
10 7
2 1 0
0 2 1
0 0 2
2 1 1
1 2 1
2 0 0
1 2 2
0 2 0
2 2 0
1 0 0
10 4
2 2 0
2 1 0
2 0 1
0 2 0
1 1 0
1 1 1
2 2 1
0 0 1
1 0 2
1 2 0
10 3
1 1 1
1 2 0
0 0 1
1 0 0
1 2 1
1 0 2
2 2 1
2 1 1
2 1 2
0 1 0
10 2
1 2 2
0 0 1
2 1 1
2 2 1
2 0 0
0 0 2
1 0 0
0 0 0
1 1 2
0 2 1
10 6
0 3 3
3 1 3
2 2 1
0 0 2
0 1 2
2 3 0
3 3 1
1 2 0
2 1 1
1 1 3
10 3
1 0 1
0 1 2
3 1 1
0 1 1
3 0 0
1 1 0
0 0 1
0 0 2
1 3 2
1 0 2
10 6
0 2 2
2 2 1
2 0 0
2 2 2
2 0 1
1 0 0
1 2 1
1 0 1
0 2 0
0 1 2
10 5
1 2 0
2 1 1
2 2 0
1 1 1
0 2 0
1 0 0
1 2 1
1 1 2
0 1 1
2 2 1
10 3
1 2 2
0 1 2
0 0 1
2 0 0
1 1 0
2 2 2
1 1 2
2 1 1
0 0 0
1 1 1
10 6
1 1 2
0 2 2
0 2 0
1 2 2
2 1 2
2 0 0
0 1 2
2 1 0
2 2 1
1 2 1
10 9
0 0 2
0 0 0
0 2 2
2 0 2
1 2 1
1 1 2
1 0 0
1 2 2
0 1 0
2 1 1
10 4
2 1 0
1 1 0
2 0 2
1 1 2
1 2 3
3 1 1
2 1 1
1 2 0
2 2 3
0 0 0
10 4
1 0 1
0 2 2
2 2 2
1 2 2
2 1 2
1 1 1
1 0 2
0 0 0
0 0 1
1 1 2
10 7
2 0 1
2 1 0
1 2 1
2 3 2
3 2 2
1 0 0
0 3 0
3 1 2
0 2 0
1 2 3
10 4
0 3 1
3 2 1
2 0 0
2 3 2
0 2 0
2 2 1
3 2 0
1 3 2
1 3 3
3 0 2
10 5
1 1 1
0 1 1
0 0 0
2 1 2
2 0 1
1 2 2
1 2 0
2 1 0
0 2 1
0 1 0
10 3
1 0 1
2 1 2
2 1 0
2 2 0
2 2 2
1 0 2
1 1 1
0 1 2
0 0 2
1 2 0
10 8
1 1 2
0 2 3
0 3 1
1 2 3
0 3 2
3 1 3
2 1 3
2 0 3
3 1 1
3 3 0
10 8
2 1 1
2 2 1
3 2 2
0 2 0
0 2 3
1 2 2
3 3 1
1 3 0
3 1 0
1 2 1
10 2
2 0 0
2 2 2
1 2 1
1 1 2
2 1 0
0 1 2
1 1 0
1 0 0
2 2 0
2 1 1
10 7
1 2 0
2 1 1
1 1 2
0 2 2
0 1 2
1 2 2
2 0 0
2 1 0
1 0 0
2 1 2
10 9
3 1 3
3 0 0
0 3 0
0 3 2
1 2 0
2 2 1
3 2 3
1 2 1
1 3 0
3 1 2
10 6
0 2 2
1 2 3
2 3 3
1 2 0
2 1 1
1 0 1
3 3 3
3 1 1
2 1 2
3 1 3
10 5
0 0 2
1 1 2
0 0 1
1 2 2
1 0 2
2 2 2
2 2 0
1 2 0
0 1 1
2 1 0
10 9
2 1 2
1 2 0
0 1 0
1 2 1
1 1 0
2 1 1
0 0 2
0 0 1
0 1 2
1 0 2
10 2
2 1 0
2 1 3
1 1 2
3 0 3
1 2 2
2 2 3
0 2 3
2 0 2
2 2 0
0 3 3
10 3
0 0 2
2 1 1
1 0 2
1 1 2
2 2 1
0 2 2
0 2 0
1 3 0
3 3 0
0 1 1
10 6
3 2 2
2 1 2
0 2 1
3 0 1
1 1 0
0 3 2
2 2 3
0 0 2
2 2 1
2 0 3
10 3
2 3 3
3 2 3
3 0 2
1 1 3
0 1 2
1 2 1
3 2 2
2 0 3
2 2 3
0 1 0
10 3
3 1 0
1 0 3
0 1 3
0 2 0
0 2 1
2 1 0
2 1 2
2 0 0
3 2 1
1 0 1
10 8
0 2 0
1 2 0
0 1 0
1 2 1
1 1 2
2 2 1
2 1 0
0 0 2
1 0 1
1 0 0
10 2
1 0 0
0 0 2
0 0 0
0 1 0
2 1 2
2 2 2
2 1 1
0 2 2
0 0 1
1 2 0
10 3
1 2 0
2 2 1
0 0 2
1 0 2
0 0 1
1 1 0
1 2 1
1 1 1
2 1 0
2 0 0
10 3
3 1 0
3 0 2
2 0 2
3 3 3
2 0 1
1 1 0
2 3 2
0 2 3
2 1 0
3 1 3
10 2
1 0 0
2 1 2
0 0 0
1 1 0
2 1 0
0 1 0
1 1 2
0 1 2
2 2 2
0 2 1
10 6
0 2 1
2 2 0
0 0 2
2 1 0
1 2 2
1 0 1
0 1 0
0 2 2
0 0 0
2 0 1
10 5
1 0 3
3 3 2
3 3 3
3 3 1
0 0 2
0 3 0
1 3 1
3 0 3
1 1 3
0 1 0
10 5
1 1 3
0 2 0
2 0 1
0 2 3
0 3 1
2 2 2
0 3 2
3 0 0
1 1 2
2 3 2
10 5
1 2 2
2 0 0
1 0 2
0 2 2
2 2 0
0 0 1
1 2 1
2 0 1
2 1 1
2 2 2
10 6
2 1 0
3 1 1
1 2 2
2 0 3
3 1 0
1 2 3
3 1 2
1 3 2
0 3 2
3 3 0
10 2
1 0 2
2 0 0
1 2 1
1 0 1
0 2 0
2 0 2
2 0 1
1 2 0
1 1 2
0 2 2
10 6
3 3 3
3 3 1
2 3 0
3 1 0
3 2 3
3 2 0
2 2 0
3 0 0
3 3 2
3 0 3
10 9
0 2 2
0 0 0
0 3 2
3 3 1
0 0 3
0 2 1
3 2 1
2 3 2
3 2 3
1 1 1
10 6
1 0 0
2 1 2
2 2 1
0 1 0
0 0 2
2 0 0
1 0 1
2 2 0
0 1 2
0 2 2
10 4
3 1 0
2 0 0
1 3 2
0 3 3
1 2 3
1 2 2
1 3 0
3 0 3
2 1 3
0 2 3
10 5
1 0 3
2 2 0
0 2 2
3 0 1
0 1 3
1 0 2
0 1 1
2 1 1
3 3 0
2 0 1
10 2
3 1 2
2 2 2
1 2 0
3 3 0
0 0 3
1 3 0
2 2 0
2 2 3
0 3 1
3 1 3
10 5
2 2 0
3 0 1
0 1 1
1 1 1
2 1 1
2 3 2
3 1 1
0 2 2
0 0 0
0 1 2
10 6
1 2 2
0 0 0
0 0 1
2 1 1
1 0 2
2 1 2
2 1 0
2 2 2
1 0 0
0 1 2
10 3
2 1 3
2 2 3
0 1 1
1 1 3
2 2 2
1 2 0
0 2 1
3 0 1
1 0 1
1 0 0
10 5
1 0 2
0 1 3
2 2 2
0 1 2
0 0 3
1 2 3
1 1 0
0 2 3
3 1 2
2 0 1
10 2
2 1 1
1 0 0
0 0 1
2 1 2
2 0 2
1 1 2
1 2 0
2 0 1
1 0 2
1 2 2
10 4
1 0 2
2 1 0
2 3 0
1 3 2
3 3 2
1 1 1
0 2 1
2 3 2
2 1 3
3 1 3
10 9
0 2 1
3 3 0
0 2 3
3 3 3
3 1 2
3 2 2
1 2 1
3 3 2
0 0 0
3 0 2
10 7
0 0 0
1 2 1
2 2 0
1 2 0
1 1 1
2 0 1
2 2 1
0 1 1
0 2 2
2 1 1
10 3
0 2 0
2 2 1
3 3 3
0 2 3
1 2 1
0 0 3
3 2 1
0 3 2
1 3 2
3 3 1
10 7
1 0 3
3 1 0
2 1 3
1 2 0
0 2 0
2 2 0
2 1 0
3 3 2
1 2 1
3 0 3
10 7
0 0 1
0 0 3
0 2 1
1 0 0
2 1 3
3 1 0
0 1 2
1 3 0
1 0 3
1 0 2
10 6
3 2 3
0 3 1
2 2 1
3 3 2
3 3 3
1 3 3
0 2 1
1 2 3
2 0 0
1 0 1
10 6
0 0 0
2 1 0
1 0 0
0 1 2
2 1 2
1 1 0
0 0 1
1 0 1
2 2 1
2 0 2
10 5
1 2 0
2 1 0
0 1 2
3 0 1
1 1 2
2 1 3
2 2 2
2 3 0
0 1 3
3 2 3
10 7
0 2 3
3 2 1
1 2 1
2 0 0
1 3 1
1 1 2
2 2 1
3 1 2
0 2 1
1 3 0
10 7
1 0 2
0 2 2
0 2 1
2 0 0
1 2 2
2 2 2
0 0 2
0 1 0
1 1 2
1 2 0
10 8
1 1 0
0 0 1
0 2 0
0 0 2
0 1 2
1 2 0
0 1 1
1 0 0
0 2 1
2 2 0
10 2
1 2 2
0 2 1
1 0 2
0 0 0
1 2 0
0 1 0
0 1 1
0 0 2
1 0 1
2 1 1
10 4
3 3 2
0 3 0
3 3 1
0 3 2
0 1 0
3 0 2
2 2 1
0 2 1
2 0 2
1 3 3
10 4
1 1 2
1 2 3
2 3 0
2 3 2
1 1 0
2 2 3
3 3 1
2 3 3
1 2 1
2 0 2
10 9
3 3 2
3 3 0
2 1 3
1 2 1
3 1 3
0 0 1
3 2 0
2 2 1
3 0 1
3 0 3
10 9
0 3 2
2 1 1
1 0 3
0 2 0
3 0 2
2 2 1
3 1 1
3 3 0
1 0 2
3 2 0
10 6
0 1 1
1 0 2
1 2 1
0 1 0
1 0 1
1 1 2
2 0 0
2 1 0
2 2 0
2 0 2
10 8
3 3 3
0 2 3
0 0 3
1 0 2
3 0 2
2 1 1
2 0 2
3 1 2
1 1 1
3 2 0
10 6
0 1 2
2 1 2
2 0 1
0 2 1
3 0 2
1 1 1
1 0 3
2 2 0
2 2 1
3 3 2
10 9
2 2 1
0 1 0
2 0 2
1 1 0
1 2 1
0 2 0
0 2 1
1 0 2
0 0 1
2 1 1
10 8
1 1 2
1 2 2
2 1 2
0 1 2
2 1 1
0 1 0
2 0 2
1 0 0
0 1 1
0 0 1
10 6
2 1 0
1 2 1
0 2 0
1 2 2
0 0 2
1 0 2
2 2 1
0 0 1
1 1 0
0 1 2
10 2
1 0 0
1 3 2
2 3 0
3 0 0
1 1 3
1 0 1
2 1 3
0 3 3
3 3 0
3 1 0
10 3
2 2 1
0 2 1
0 0 1
0 1 2
1 0 2
0 0 2
0 1 1
2 0 0
2 0 2
2 1 0
10 3
2 1 1
1 0 2
1 0 0
2 1 0
0 2 0
0 1 0
2 0 0
2 2 2
0 1 1
2 2 1
10 4
0 2 0
0 0 1
1 1 1
1 0 0
2 1 1
1 1 0
0 0 2
2 2 1
2 0 1
0 2 2
10 6
1 2 0
0 2 1
0 0 1
0 1 0
0 0 0
1 0 2
0 2 0
0 0 2
1 1 1
2 2 2
10 7
0 2 1
2 0 1
0 0 1
2 2 0
0 1 2
2 2 2
0 0 2
0 2 0
1 0 0
2 0 2
10 9
2 1 0
1 1 2
0 0 0
0 2 2
0 1 0
2 0 2
2 0 0
1 2 0
2 0 1
1 1 1
10 8
2 1 0
1 0 0
2 2 1
0 1 1
2 2 0
0 2 2
2 0 2
2 0 1
1 1 0
1 2 0
10 9
2 2 2
1 2 1
1 0 2
2 1 2
0 1 1
2 2 0
2 1 0
2 2 1
1 1 0
2 0 1
10 5
1 3 0
3 3 3
1 0 1
3 3 2
0 1 2
0 1 3
2 3 2
0 3 2
1 2 3
3 0 0
10 4
1 1 1
1 0 2
1 0 1
2 1 2
1 1 0
1 2 2
2 2 1
2 2 0
0 1 0
2 0 0
10 7
2 0 0
1 0 2
2 1 1
1 1 1
2 2 1
0 2 1
1 0 1
2 2 0
2 2 2
0 0 2
10 3
1 2 0
0 0 2
1 1 1
1 1 0
1 1 2
2 1 2
0 0 1
0 1 0
0 2 0
0 1 2
10 9
0 2 0
2 1 2
0 1 0
2 2 1
1 2 1
2 2 2
2 1 0
0 0 0
2 0 2
1 2 2
10 4
1 0 0
0 1 2
0 2 2
2 1 1
0 0 2
1 1 1
0 1 1
1 1 2
2 0 0
1 0 2
10 5
1 0 0
1 0 1
1 1 1
1 1 0
0 1 1
1 2 2
2 0 1
2 0 2
0 2 2
0 1 2
10 9
0 2 1
0 2 2
0 1 0
0 1 1
0 2 0
0 0 1
1 0 2
2 1 2
1 2 0
1 0 1
10 5
2 0 0
1 1 1
1 0 1
0 0 1
1 1 0
1 0 2
1 2 0
1 1 2
0 1 2
2 0 2
10 5
3 2 1
3 0 3
3 3 0
3 0 1
0 0 1
3 2 2
1 1 1
1 2 3
1 3 3
3 1 2
10 7
3 1 0
0 0 3
1 3 2
0 1 2
1 1 0
0 0 2
0 1 1
0 0 0
3 2 2
2 0 3
10 4
2 1 1
1 2 0
1 0 2
2 1 2
2 0 2
0 2 0
2 2 1
2 0 1
2 2 2
0 1 1
10 9
0 3 2
0 0 3
2 0 1
2 3 2
2 2 3
3 2 1
0 0 1
2 2 1
0 0 0
2 1 1
10 3
0 0 2
1 1 1
2 2 2
2 2 1
0 1 0
0 2 1
2 1 1
2 1 0
1 1 2
1 2 0
10 8
3 2 3
0 1 1
0 0 3
2 3 2
1 0 0
2 2 3
1 2 3
0 3 1
3 2 2
1 3 0
10 3
2 2 1
2 1 2
2 1 0
1 1 0
2 2 2
0 0 0
1 0 1
2 0 0
1 0 2
0 0 2
10 6
3 3 3
2 3 1
0 1 0
0 1 3
1 3 2
1 1 2
1 0 3
3 2 1
0 3 1
2 0 1
10 3
1 1 0
0 2 3
3 2 0
3 1 0
2 1 1
1 3 1
0 0 3
3 1 2
1 1 3
3 3 2
10 5
0 2 2
0 0 1
1 2 2
3 0 3
3 0 2
0 2 1
0 3 2
2 2 2
3 2 3
1 2 3
10 6
0 0 1
1 2 1
2 2 1
3 1 3
0 3 3
2 2 2
3 3 1
1 1 2
2 0 1
3 2 2
10 4
2 2 2
2 0 0
0 2 2
2 2 1
0 2 0
1 2 2
0 2 1
1 2 0
1 0 1
2 1 2
10 2
2 2 1
2 1 0
2 0 0
1 1 2
2 0 1
1 1 0
0 2 1
1 1 1
2 2 0
0 0 2
10 7
2 0 1
0 0 1
2 2 2
1 0 1
0 2 0
2 1 0
2 0 2
2 0 0
0 2 2
0 1 0
10 6
0 1 2
0 2 2
0 0 2
1 2 0
0 2 1
2 2 2
1 0 0
2 0 2
0 1 1
1 1 0
10 4
1 0 1
0 3 3
0 0 2
0 1 2
3 1 0
1 1 1
1 0 2
1 0 0
2 0 2
0 3 1
10 4
2 2 2
1 0 2
0 2 2
2 1 2
0 2 0
1 2 1
1 1 1
1 0 0
0 0 2
1 1 0
10 8
3 1 2
1 2 3
2 3 2
3 2 3
0 1 2
2 0 1
2 1 1
3 2 0
0 2 1
3 0 3
10 8
2 0 0
0 3 3
1 0 2
3 2 1
1 2 0
1 1 3
1 2 2
2 2 0
3 0 1
3 0 2
10 3
0 1 0
0 1 2
2 2 0
1 1 1
1 1 2
1 2 0
0 0 2
2 0 1
0 2 2
0 1 1
10 4
1 2 1
1 2 0
1 0 2
0 0 2
2 2 2
1 0 1
0 1 1
0 2 1
0 2 2
1 1 0
10 6
1 1 3
1 1 2
3 3 3
0 3 2
3 0 0
2 1 3
0 2 3
0 0 2
3 2 0
0 3 3
10 3
2 0 1
2 1 0
1 2 1
3 2 2
3 0 2
3 3 0
3 0 1
0 2 0
2 0 3
3 1 0
10 5
2 2 0
0 2 1
2 1 0
2 0 2
1 1 0
1 1 2
1 2 1
2 0 1
2 1 2
0 2 0
10 3
2 1 1
2 2 0
1 2 0
0 0 0
0 1 1
1 1 2
0 1 0
0 0 1
1 0 1
1 0 0
10 6
2 3 2
3 3 0
0 0 1
1 3 3
2 0 3
3 0 1
2 1 2
1 0 3
2 1 0
0 0 2
10 9
2 0 0
2 0 2
1 1 2
1 2 2
2 0 1
1 0 1
2 2 0
0 2 2
1 1 1
1 2 1
10 6
2 0 0
0 2 0
1 1 2
0 1 0
1 2 0
0 0 1
2 0 2
2 2 1
1 0 2
0 2 2
10 5
0 1 1
2 2 0
1 0 1
0 0 0
0 2 0
1 0 0
2 0 1
0 2 2
2 1 1
2 1 0
10 9
0 2 1
2 1 1
2 1 2
2 1 0
1 0 0
1 1 2
1 1 0
0 1 2
1 2 0
0 0 0
10 6
3 0 0
0 0 3
3 0 3
2 1 3
1 0 3
0 3 3
1 1 2
2 2 2
3 2 1
2 0 1
10 8
0 0 0
0 2 2
1 2 1
2 0 1
1 1 0
2 0 0
2 2 0
0 0 2
2 2 2
1 0 2
10 7
1 2 2
0 1 0
2 1 2
0 2 1
1 2 1
1 2 0
0 0 1
2 0 1
0 0 0
1 0 1
10 7
1 1 0
0 2 0
1 0 0
3 0 1
0 2 3
1 3 2
2 0 0
2 1 0
0 3 3
3 3 2
10 7
0 1 0
3 3 0
0 0 2
1 0 0
3 1 3
2 2 2
0 2 3
0 2 2
1 2 0
2 0 2
10 2
2 1 3
1 1 0
3 3 1
0 3 2
1 1 1
2 0 2
3 2 2
3 0 1
2 1 2
1 3 0
10 9
2 1 0
0 0 1
2 0 2
0 2 0
0 0 2
2 2 1
2 2 0
0 2 1
1 0 1
0 1 0
10 7
1 1 2
3 3 3
3 3 0
1 2 3
2 1 2
3 0 3
2 2 1
3 1 3
1 2 0
2 3 0
10 5
2 2 1
0 0 0
0 1 0
1 0 2
1 2 0
2 0 0
0 1 2
0 0 2
0 2 2
1 1 1
10 8
2 2 2
2 2 1
1 1 1
1 0 2
0 0 2
2 1 1
1 1 0
0 1 0
2 1 2
1 1 2
10 4
0 0 3
3 0 3
2 3 2
3 1 1
0 0 1
3 0 0
2 3 3
1 2 2
3 0 1
2 3 0
10 3
1 2 0
2 0 2
1 2 1
0 1 2
1 0 2
1 2 2
0 2 0
1 1 2
2 1 0
1 1 0
10 7
1 0 2
0 1 2
3 2 1
1 3 3
0 0 2
3 3 0
3 1 1
2 3 3
3 0 3
0 1 0
10 5
2 0 1
0 0 2
1 1 2
0 0 1
0 2 0
2 0 0
1 2 1
1 0 1
1 1 1
1 2 0
10 4
0 2 1
1 0 1
0 1 1
1 2 0
3 0 2
0 1 0
3 3 2
3 0 0
2 2 1
3 1 0
10 2
0 2 1
1 2 2
3 0 2
1 0 2
1 3 0
3 1 2
0 3 1
1 0 1
2 2 2
0 1 3
10 3
1 0 1
1 2 2
2 2 2
1 2 1
2 0 1
0 1 2
2 0 2
0 1 1
1 2 0
2 2 1
10 4
0 1 1
0 2 0
2 0 2
1 2 1
2 2 0
0 1 0
1 0 0
2 1 0
1 0 1
1 1 2
10 2
0 2 2
1 0 0
0 1 2
0 1 3
1 0 3
2 0 2
3 2 0
3 3 3
0 2 3
1 0 2
10 2
0 1 2
0 1 1
2 2 0
2 2 2
0 0 0
0 2 1
2 0 2
1 2 0
2 1 0
2 0 0
10 5
3 2 1
1 1 1
2 2 1
1 3 2
3 0 1
2 3 2
0 1 1
2 0 0
2 3 1
3 3 3
10 3
0 2 1
3 0 0
1 1 2
3 3 0
0 2 3
1 2 1
2 0 1
0 1 2
0 0 1
2 1 2
10 3
0 2 3
3 1 2
1 3 0
1 2 0
1 0 3
3 1 1
3 2 2
2 3 1
3 0 1
2 1 1
10 2
1 0 1
0 2 0
1 0 0
0 3 0
0 1 2
2 0 1
3 0 0
3 2 1
1 2 3
0 1 0
10 4
3 2 3
0 3 1
0 3 2
2 2 2
3 2 1
2 3 3
2 0 0
0 1 1
3 0 2
3 3 3
10 9
3 1 2
1 1 3
1 1 2
1 0 2
1 3 2
0 2 0
1 0 1
3 3 2
0 3 0
2 3 0
10 8
0 0 2
2 1 2
0 2 0
2 1 1
2 0 0
0 1 1
2 2 1
2 0 2
1 0 2
1 1 0
10 2
0 0 1
2 2 0
0 1 1
1 1 0
1 0 2
1 2 1
2 1 0
2 1 1
2 2 1
0 0 2
10 5
1 1 2
2 0 3
1 2 2
0 3 1
1 1 3
2 3 3
0 1 3
1 0 1
3 1 2
2 3 1
10 7
1 1 2
0 0 1
1 0 3
2 0 2
0 0 0
0 2 3
2 2 0
2 2 3
1 2 1
0 3 2
10 9
3 2 1
2 0 1
0 1 0
0 3 2
0 3 0
1 3 1
0 1 3
3 3 0
1 0 1
3 2 0
10 8
0 1 0
2 2 1
1 1 1
2 0 0
1 0 1
0 2 2
1 0 0
2 1 1
1 1 2
2 0 2
10 7
2 0 0
0 2 2
2 2 0
1 1 0
2 1 0
0 1 1
2 1 2
0 0 0
2 0 1
0 0 2
10 8
0 1 2
0 2 0
1 1 2
1 1 1
2 0 2
2 1 0
0 0 1
1 2 2
0 0 2
2 2 2
10 3
0 1 2
1 0 2
0 1 0
2 1 1
1 0 0
0 2 1
2 2 1
2 1 2
2 0 0
2 2 0
10 9
0 1 2
2 2 2
0 2 2
1 2 1
1 0 0
2 1 0
2 0 1
2 2 1
0 2 1
0 1 1
10 3
0 0 3
1 0 1
0 1 3
3 0 0
1 0 2
1 1 3
1 3 0
0 3 3
0 1 0
2 3 3
10 2
3 3 3
0 3 1
0 3 0
1 1 2
2 2 1
2 0 0
2 0 2
0 2 1
2 2 2
1 3 2
10 7
0 2 3
0 1 1
3 1 1
1 2 2
3 0 0
3 0 1
0 3 3
1 0 3
1 2 3
1 1 1
10 8
1 3 3
2 3 0
1 0 0
3 0 2
2 2 2
1 2 0
3 0 1
1 1 1
0 3 1
0 2 2
10 9
0 1 0
1 0 1
1 2 0
1 0 2
1 0 0
2 2 0
2 2 2
2 2 1
2 0 2
2 0 0
10 5
0 0 1
2 1 0
2 0 1
2 0 2
0 2 0
1 0 0
1 0 2
0 0 2
2 2 0
2 1 1
10 8
3 1 3
1 0 0
3 2 0
3 3 1
2 2 2
1 1 1
0 2 2
2 3 1
3 1 2
0 0 2
10 9
2 0 1
0 1 1
1 2 0
1 1 0
0 1 2
1 2 2
0 0 2
0 0 0
2 2 2
1 0 0
10 7
1 0 2
1 0 0
1 3 1
2 3 1
3 0 2
2 2 3
3 2 1
3 0 0
3 2 0
3 2 3
10 3
1 2 2
1 0 2
0 2 0
1 1 1
1 1 2
0 1 0
2 0 2
2 2 0
2 1 0
1 0 0
10 2
2 1 3
3 2 2
0 1 3
0 0 2
0 0 3
2 1 2
0 3 2
0 1 1
2 3 0
2 1 1
10 4
0 3 2
0 1 2
2 2 2
0 0 2
1 3 3
1 2 1
1 0 2
2 2 1
0 3 0
0 2 3
10 7
0 1 0
1 1 2
0 0 0
1 1 1
0 0 1
2 2 0
1 0 1
1 0 2
1 2 1
1 1 0
10 5
2 2 2
0 0 1
1 0 0
0 0 0
3 2 3
1 1 1
0 2 3
2 0 1
3 3 0
1 2 0
10 7
2 3 2
0 2 3
1 1 2
1 1 3
0 2 0
3 2 3
3 3 0
0 3 3
2 1 2
1 3 0
10 5
0 1 0
1 1 0
1 1 2
2 1 1
2 1 0
0 0 1
1 0 2
2 2 0
0 0 0
1 2 0
10 4
2 0 0
1 0 0
1 0 1
2 1 1
2 1 0
0 0 2
2 0 1
2 2 0
1 2 2
0 1 2
10 2
2 0 3
0 1 0
2 1 0
1 3 3
1 1 1
0 2 0
1 0 1
2 3 1
1 1 0
0 0 2
10 3
0 0 2
1 1 0
1 2 1
3 2 3
0 1 1
3 3 1
3 2 1
3 1 3
2 2 3
0 3 3
10 7
2 0 2
0 2 2
0 1 1
0 1 0
0 0 2
0 2 1
2 0 1
2 1 2
2 2 0
2 2 2
10 3
0 1 2
1 2 1
0 1 0
1 1 0
0 1 3
3 0 2
0 0 3
2 1 3
0 3 0
2 0 0
10 8
1 0 1
0 2 2
2 0 1
1 1 2
1 1 1
2 2 2
2 2 1
2 2 0
1 2 1
0 1 1
10 6
1 3 1
3 3 2
2 1 1
3 2 2
0 2 1
2 2 1
1 0 2
3 0 2
2 2 3
3 1 3
10 3
0 0 2
3 0 3
2 1 0
3 1 2
2 3 1
1 2 2
0 2 1
2 0 3
3 3 2
0 3 2
10 9
2 1 2
0 0 2
2 1 0
0 2 1
2 0 0
1 0 2
1 2 0
2 2 1
2 2 0
2 0 1
10 8
2 2 1
0 1 1
1 1 2
0 1 2
1 2 1
2 2 2
1 1 1
0 0 1
0 2 2
1 2 2
10 2
2 2 0
3 0 2
0 2 0
1 0 1
3 3 0
1 1 1
0 1 0
0 0 2
3 1 3
2 1 1
10 5
2 1 2
0 1 2
0 2 0
0 2 1
1 0 0
0 0 1
1 1 0
1 0 2
1 1 2
1 2 1
10 7
0 0 0
2 1 0
2 2 2
1 1 2
0 2 1
1 1 1
1 0 1
1 0 2
1 2 1
0 2 0
10 6
3 1 1
3 1 0
1 3 2
0 2 1
0 1 2
0 0 3
2 0 3
1 2 3
0 2 3
1 1 2
10 4
1 3 1
1 3 2
0 3 2
1 3 0
3 2 3
3 1 3
2 3 2
3 2 1
0 1 1
2 3 0
10 2
0 3 1
2 3 0
2 1 3
0 1 3
0 3 0
0 1 2
3 3 3
2 2 3
2 2 0
1 2 2
10 8
0 0 2
2 1 0
1 0 2
2 2 3
1 3 3
1 1 3
0 3 1
3 2 3
3 2 2
0 1 0
10 8
0 2 1
3 3 3
1 0 2
0 2 3
0 0 0
1 2 3
3 2 1
1 2 0
2 2 1
3 2 2
10 9
3 3 0
1 1 3
2 1 1
2 2 3
0 2 3
3 0 1
1 3 3
0 1 2
0 2 1
3 0 2
10 9
0 0 1
0 1 1
0 1 2
1 0 2
1 1 1
1 2 0
1 0 1
1 2 1
2 1 2
2 2 1
10 5
0 0 1
1 1 1
1 1 0
2 2 2
1 0 1
1 1 2
0 2 0
2 1 0
0 2 2
0 0 0
10 7
0 0 1
1 2 2
1 2 1
2 2 0
2 1 1
0 2 2
0 2 0
0 2 1
2 0 1
1 0 1
10 4
2 2 3
1 3 2
0 2 1
0 0 3
3 1 1
0 2 3
0 1 1
2 0 3
1 2 1
3 2 3
10 5
2 1 0
0 2 2
0 1 2
2 0 1
0 1 1
0 2 1
1 0 0
1 1 0
1 1 2
0 0 0
10 7
1 1 2
1 0 1
2 0 0
2 1 0
0 0 0
0 1 2
2 0 1
2 1 2
2 2 0
1 1 1
10 4
2 3 3
2 1 0
1 2 3
2 0 1
0 2 1
3 0 3
2 2 1
1 2 1
1 0 3
3 2 0
10 7
2 0 2
0 0 2
2 2 0
1 1 1
0 2 2
1 2 2
2 0 1
1 0 1
2 2 1
0 0 0
10 9
1 0 3
0 0 0
2 0 0
1 2 1
0 3 1
3 1 1
0 0 1
2 0 3
2 1 3
3 1 0
10 9
3 2 1
1 3 2
3 0 1
2 3 3
2 0 3
1 3 0
0 3 3
2 0 0
1 1 0
1 2 2
10 7
1 3 3
0 3 3
3 2 1
0 1 0
2 3 0
0 1 2
3 1 0
2 2 3
2 1 0
3 3 3
10 3
3 1 3
1 3 0
3 0 2
1 2 0
1 0 1
3 3 0
1 2 1
1 2 3
0 1 2
2 2 3
10 5
1 1 2
0 2 2
1 2 2
1 0 1
2 0 0
2 0 2
1 2 0
2 1 1
0 0 1
2 2 1
10 4
2 2 0
0 1 1
1 2 1
3 2 0
2 0 1
0 0 1
3 0 1
1 1 0
3 1 1
1 0 3
10 8
2 0 0
1 3 1
1 0 2
3 0 3
0 2 3
3 3 3
3 2 2
3 2 1
0 2 2
3 2 0
10 6
2 1 2
1 2 1
2 0 0
1 2 0
2 2 2
1 0 2
1 1 2
2 2 0
1 2 2
2 0 2
10 4
3 2 2
2 1 1
3 3 1
1 3 0
0 2 1
3 1 0
2 3 0
1 0 0
1 2 1
0 2 0
10 3
0 3 2
0 2 0
3 3 0
3 3 3
2 3 2
2 2 0
1 2 0
1 3 3
1 2 1
2 1 1
10 8
0 0 2
2 1 3
1 1 1
2 3 0
0 1 2
1 2 3
1 3 1
2 1 0
0 0 0
0 2 3
10 8
0 2 3
3 3 1
3 0 0
1 3 2
2 0 3
1 1 0
1 2 0
1 0 1
0 1 2
1 2 1
10 4
1 1 1
1 1 0
2 1 1
1 1 2
1 0 0
0 2 2
0 0 1
2 2 2
2 1 0
1 0 2
10 9
0 0 2
2 2 2
3 1 2
3 3 0
0 1 2
1 0 2
3 2 1
0 3 2
0 0 1
2 3 0
10 8
0 1 2
0 1 0
2 0 1
1 0 0
0 2 2
1 1 1
1 0 2
2 0 2
0 1 1
0 0 2
10 6
3 1 0
0 0 2
3 0 2
1 0 1
0 3 1
3 3 3
0 3 0
0 2 0
0 2 3
2 2 0
10 6
3 3 2
2 3 1
3 2 1
3 2 0
0 0 1
1 0 1
3 3 3
0 0 0
2 2 0
1 1 1
10 9
0 0 0
2 0 2
1 1 1
2 1 2
2 2 2
0 2 0
1 0 0
1 2 1
0 0 2
1 1 2
10 6
0 1 0
2 0 1
0 1 1
1 2 1
1 2 2
2 1 0
0 0 0
2 2 2
1 2 0
1 1 2
10 6
0 0 1
3 0 2
2 1 3
2 1 2
3 3 0
0 2 2
2 2 0
1 2 2
1 1 2
2 1 0
10 3
0 1 0
0 1 1
0 2 0
2 2 1
0 2 1
2 0 1
0 0 2
0 2 2
2 1 2
2 1 0
10 4
1 1 2
0 0 1
1 2 2
3 0 2
2 0 3
0 0 2
2 1 1
1 3 3
1 3 2
0 0 3
10 3
1 1 0
0 0 0
1 1 2
2 2 2
1 0 1
1 2 1
1 1 1
0 1 2
2 0 1
2 1 0
10 2
0 0 2
0 3 0
2 1 0
3 2 2
2 3 0
2 2 2
2 3 1
3 0 2
3 3 1
0 3 1
10 2
0 0 1
0 1 1
2 0 1
2 2 1
1 1 0
2 1 2
2 1 0
0 2 0
0 0 2
1 2 1
10 4
2 2 0
1 0 0
0 2 0
1 2 0
0 0 2
1 0 2
1 1 2
2 2 2
2 2 1
0 1 2
10 9
2 3 1
1 3 1
3 2 1
0 0 1
2 1 3
1 0 0
2 0 3
2 2 1
2 2 0
1 1 2
10 5
2 2 1
1 0 1
1 1 0
2 0 1
2 2 2
2 2 0
0 1 0
0 2 1
2 0 0
1 0 0
10 3
2 1 0
1 0 1
0 2 2
2 2 0
0 1 2
2 0 1
2 1 1
0 0 0
2 2 1
1 2 0
10 2
0 2 1
3 1 1
1 0 0
0 1 3
3 1 3
2 3 1
1 0 2
1 2 0
3 2 0
2 1 2
10 3
1 0 1
0 0 0
2 0 1
0 1 1
1 0 0
1 1 2
1 1 1
2 2 0
1 2 1
2 1 2
10 2
0 2 2
2 0 1
2 2 2
2 0 2
0 2 0
1 0 1
0 0 0
2 2 0
2 1 1
0 1 1
10 7
2 1 2
0 1 0
2 0 2
0 1 2
1 1 0
1 2 1
0 2 0
0 0 0
0 2 1
1 1 1
10 2
0 2 0
0 1 0
1 1 0
3 2 2
1 0 0
0 1 1
0 2 2
2 0 0
3 2 3
2 0 2
10 4
0 1 0
0 2 2
2 1 1
2 0 1
0 0 1
0 2 0
1 1 2
2 2 0
2 1 2
1 1 1
10 4
2 0 2
0 1 0
1 2 0
1 1 2
2 1 1
1 0 1
1 1 1
0 0 2
2 0 0
2 2 0
10 5
1 1 2
0 2 2
0 2 0
0 1 2
1 1 0
2 2 2
1 0 0
2 1 2
1 0 1
1 0 2
10 9
2 0 3
0 1 2
3 1 0
1 2 0
1 2 1
2 3 3
3 0 1
2 2 1
2 1 0
0 2 3
10 2
2 1 2
0 2 0
1 0 2
1 1 0
2 2 2
2 0 1
1 2 2
2 2 1
0 1 2
0 0 1
10 7
1 1 0
0 2 2
1 1 1
2 2 0
1 2 2
0 2 1
2 1 2
1 0 1
2 0 1
1 2 0
10 9
0 0 3
2 3 3
2 2 1
1 3 0
3 1 3
1 3 2
2 0 2
2 1 3
2 0 0
1 3 1
10 8
2 2 0
2 0 1
1 1 0
2 1 1
2 2 1
0 1 1
2 0 2
2 1 0
1 1 2
2 2 2
10 5
0 1 3
2 3 0
2 2 3
1 0 2
0 2 3
3 1 0
1 3 2
0 2 1
3 2 1
3 0 1
10 2
2 0 0
0 0 2
1 3 2
0 2 1
3 0 1
1 0 1
2 1 1
1 2 0
3 0 2
3 1 1
10 8
1 2 1
1 2 2
0 0 1
2 2 0
2 2 2
1 1 2
1 2 0
2 0 1
1 1 1
2 1 1
10 8
1 0 1
0 1 2
0 0 0
2 0 0
1 1 2
1 2 2
2 2 2
0 0 1
0 2 2
2 2 0
10 9
2 3 0
0 0 3
0 3 0
2 3 1
2 3 3
0 1 2
0 1 0
0 0 0
3 0 0
3 3 1
10 5
1 2 3
0 3 3
3 3 2
0 1 2
1 0 1
3 2 0
0 2 1
1 0 0
3 3 0
0 3 0
10 9
2 1 0
2 2 2
1 0 1
2 1 1
0 1 2
0 2 1
1 1 0
0 0 1
1 1 1
2 0 1
10 5
2 0 1
1 2 3
1 0 1
0 3 2
2 1 2
2 1 3
0 0 1
0 1 1
0 3 0
0 3 3
10 4
0 1 0
1 0 1
1 1 1
1 2 2
2 0 2
2 2 0
2 2 1
0 2 1
1 2 0
1 0 2
10 8
2 2 2
0 0 0
0 0 1
2 1 0
1 0 1
1 2 0
0 2 1
2 0 1
2 1 2
1 1 1
10 7
1 1 1
2 0 2
2 1 1
0 1 2
0 1 1
2 2 2
1 1 2
1 1 0
1 2 1
0 0 0
10 8
1 0 1
1 3 1
3 0 0
0 2 0
1 2 1
2 0 1
2 0 0
0 3 3
1 1 3
0 1 1
10 2
2 2 2
3 1 0
2 2 1
2 0 2
2 0 0
2 1 3
1 0 0
3 3 3
1 2 0
0 0 0
10 8
0 3 1
2 1 3
3 1 1
2 2 3
0 2 0
0 2 3
2 2 1
1 0 1
0 3 0
1 1 2
10 3
1 0 0
1 2 0
2 0 2
0 1 2
2 2 1
0 1 1
2 1 0
2 2 0
2 1 1
0 0 2
10 6
2 2 2
0 2 1
2 1 2
1 2 1
1 1 1
0 0 1
0 1 1
1 0 2
0 1 2
0 2 0
10 8
0 0 2
3 0 2
0 1 0
0 1 2
1 3 0
1 1 3
0 3 2
2 0 2
0 0 1
3 1 2
10 3
3 2 2
1 0 3
1 3 3
3 0 0
3 0 3
2 1 3
3 3 1
2 3 0
0 1 2
0 3 1
10 9
0 2 3
3 2 3
2 2 3
2 3 1
3 1 1
0 0 2
0 3 3
1 3 0
1 3 3
2 0 3
10 8
2 1 0
0 1 2
2 1 2
1 2 2
0 0 1
1 2 1
0 2 2
0 1 1
2 1 1
2 0 2
10 3
1 1 2
1 2 0
1 2 1
0 2 1
1 2 2
2 2 0
0 0 2
0 0 1
2 1 1
0 1 2
10 3
2 2 2
0 0 1
1 0 0
0 0 2
1 1 1
2 0 2
2 2 0
1 0 2
1 0 1
2 0 0
10 4
1 1 1
1 0 1
2 2 0
2 2 1
0 0 2
0 2 0
0 0 0
1 0 2
0 1 0
0 0 1
10 4
2 0 1
1 2 1
0 2 2
2 0 2
2 2 1
0 1 0
1 0 0
1 2 2
2 1 1
2 1 0
10 5
1 1 1
2 2 1
1 0 0
2 0 1
0 2 0
2 1 2
0 0 2
1 0 2
0 1 1
1 1 2
10 9
1 1 1
2 2 1
1 2 0
0 2 1
2 2 0
0 2 0
0 1 2
0 0 0
0 0 2
2 0 1
10 5
1 3 1
1 3 2
2 0 0
3 3 1
0 3 2
1 0 1
2 0 3
2 2 1
1 1 2
0 2 0
10 5
1 1 3
3 0 1
0 0 2
3 1 0
2 0 2
1 2 2
1 3 1
0 0 1
3 3 3
3 2 0
10 8
1 0 3
3 0 1
2 2 1
2 1 2
1 2 1
2 1 1
0 3 2
2 0 0
2 3 3
0 3 1
10 9
1 2 1
1 2 3
1 2 0
1 0 0
2 0 0
0 3 2
0 2 2
3 3 2
0 0 3
1 3 3
10 6
1 1 0
0 0 0
1 0 2
0 1 2
2 2 0
2 0 1
1 2 2
2 2 1
0 2 1
1 2 1
10 4
0 0 1
0 2 2
2 2 1
2 0 0
0 2 1
0 1 0
1 2 2
1 2 0
0 2 0
0 0 0
10 5
1 0 1
0 2 0
1 0 2
2 1 1
1 2 1
0 0 2
2 1 2
2 2 1
2 0 0
0 0 0
10 7
2 0 1
0 3 2
0 3 1
3 3 1
2 1 0
3 1 2
1 2 0
3 2 1
2 2 0
0 2 1
10 2
0 3 3
0 3 0
0 1 2
3 2 2
2 2 2
3 0 1
1 1 3
0 3 1
1 0 1
3 0 3
10 8
2 2 2
1 0 0
0 2 1
0 1 1
1 2 2
2 0 0
1 2 1
0 1 0
1 0 1
0 2 0
10 7
1 0 3
1 1 3
1 2 0
1 3 0
3 3 0
3 1 0
0 2 3
2 0 3
0 3 0
2 1 1
10 8
3 3 3
1 2 2
3 1 3
1 1 1
1 2 3
2 2 3
2 3 3
1 3 1
0 3 2
1 0 0
10 5
2 1 1
2 1 2
0 2 2
1 2 1
1 0 1
1 0 0
0 0 2
2 2 0
2 0 0
1 2 2
10 5
2 0 1
2 1 2
0 1 0
2 0 2
2 2 1
0 1 1
0 2 0
2 2 2
1 0 0
0 2 1
10 3
1 0 1
1 2 2
2 0 0
2 1 1
2 2 0
2 2 2
0 0 0
2 2 1
1 0 2
1 1 0
10 8
2 2 2
1 0 0
1 1 1
1 1 0
0 2 2
0 0 2
0 0 0
2 1 1
0 1 2
1 2 1
10 7
0 2 2
2 3 0
2 0 2
1 3 2
2 2 1
1 3 0
0 3 3
1 2 2
0 3 2
0 2 1
10 2
3 0 1
1 0 1
2 0 2
3 0 0
3 3 2
2 3 0
2 3 1
1 2 1
2 1 3
0 0 2
10 9
2 0 1
0 3 0
0 0 1
1 3 1
3 1 1
1 1 1
3 2 1
2 3 3
1 2 1
1 3 2
10 2
2 3 0
2 2 3
0 2 1
1 1 0
0 2 2
2 2 1
1 1 2
3 1 1
0 3 1
1 2 3
10 5
2 3 0
3 0 3
0 1 1
2 0 0
0 0 0
1 3 2
3 3 2
2 2 3
1 0 3
0 3 2
10 2
0 1 2
2 0 2
1 2 0
2 1 0
0 2 1
1 2 2
2 2 1
0 0 1
2 0 0
1 1 0
10 6
2 0 2
1 2 0
1 1 2
2 1 2
1 1 1
0 0 1
1 2 2
2 1 0
2 1 1
0 1 0
10 8
1 1 1
1 2 2
1 0 1
1 0 0
1 1 2
2 2 2
0 1 0
1 1 0
0 1 2
1 2 1
10 6
0 2 2
2 1 1
0 0 1
2 2 2
2 0 0
1 1 1
2 2 0
2 1 2
1 0 2
0 2 0
10 9
0 2 0
2 1 0
2 2 0
0 2 2
1 2 2
0 0 2
1 1 1
1 0 0
0 0 1
2 0 1
10 5
1 3 3
1 0 0
0 1 0
2 0 0
2 0 3
3 1 1
0 3 2
2 2 3
2 1 3
0 2 3
10 5
1 0 1
0 0 1
1 1 1
0 1 0
1 1 2
0 1 2
0 0 0
2 2 1
2 1 1
1 2 1
10 2
1 3 0
0 0 3
1 2 0
1 2 1
3 2 3
2 1 1
1 0 2
0 3 3
2 0 1
2 2 3
10 5
1 1 3
1 3 3
3 0 2
0 1 1
0 0 3
0 2 0
3 2 3
1 2 0
0 0 1
0 0 0
10 3
3 3 3
2 3 1
0 1 2
0 3 3
2 3 0
2 0 2
1 0 3
3 2 1
3 2 3
1 1 3
10 7
2 1 2
0 0 0
1 1 2
0 2 1
1 2 1
1 2 0
2 2 1
2 0 1
0 0 1
1 0 0
10 3
0 1 0
1 1 2
1 2 2
2 0 0
2 2 2
1 0 2
0 1 2
2 2 1
1 2 0
2 1 2
10 5
2 1 1
2 2 0
2 0 2
0 0 3
0 0 2
2 0 1
2 0 3
3 3 1
3 1 3
1 3 3
10 7
2 1 1
1 2 2
0 0 1
1 1 0
0 2 2
2 1 2
2 0 1
1 0 2
1 0 1
1 2 0
10 5
1 0 0
1 0 1
1 2 1
1 1 2
0 0 1
1 1 1
2 0 2
0 2 1
2 2 1
2 1 0
10 9
1 2 0
1 0 0
2 1 1
1 2 2
2 2 0
3 2 1
1 0 1
0 1 3
0 3 1
3 3 3
10 9
3 0 0
3 3 2
0 1 1
2 3 0
1 3 0
3 2 3
2 2 0
0 2 1
3 3 3
0 0 2
10 3
2 0 1
1 2 1
1 0 1
1 1 2
1 0 0
0 2 0
2 1 1
2 2 0
0 1 2
0 0 2
10 4
2 0 2
3 0 0
0 1 2
0 3 3
0 0 0
0 1 1
2 1 1
1 3 1
2 0 1
3 0 3
10 8
0 2 1
1 2 2
1 1 1
2 0 2
2 1 0
0 0 1
1 0 2
0 0 2
2 2 1
0 0 0
10 7
0 2 2
0 0 0
2 1 0
0 0 2
0 1 0
0 0 1
1 0 1
0 2 1
0 1 1
2 2 1
10 6
2 1 0
1 2 1
0 2 2
2 2 2
1 2 2
1 1 2
0 0 1
2 0 1
1 0 2
1 0 0
10 2
0 1 3
0 1 1
3 0 3
1 0 1
3 0 1
0 0 3
1 1 2
1 2 3
2 0 3
1 1 0
10 5
1 3 0
0 1 3
2 2 3
3 3 0
0 2 3
1 2 1
2 2 2
3 2 1
3 2 0
3 3 1
10 4
2 1 3
2 0 2
0 2 0
1 3 3
3 0 2
2 3 3
1 0 1
0 2 1
1 0 3
0 1 3
10 4
2 2 3
2 0 2
2 2 2
3 3 2
2 0 0
1 2 3
0 1 3
0 3 1
1 1 2
0 2 1
10 3
2 3 2
3 0 2
3 0 1
1 2 2
0 1 3
1 1 0
0 2 0
1 0 3
3 2 2
1 2 0
10 7
2 1 0
0 1 2
0 2 2
1 0 2
1 1 1
0 2 1
0 1 0
1 2 1
0 0 0
1 0 1
10 8
0 1 0
1 0 0
0 0 2
2 1 2
3 2 1
0 3 0
1 0 1
1 2 0
0 2 1
2 0 3
10 9
2 0 0
3 2 1
2 1 3
1 0 3
2 1 2
1 1 0
0 3 0
1 0 1
3 1 2
3 2 3
10 8
3 0 2
0 2 1
3 0 3
0 3 1
1 2 0
2 0 2
2 0 3
3 1 2
1 1 0
2 1 0
10 4
0 2 0
2 0 0
2 2 0
1 2 2
1 2 1
2 1 0
2 1 2
1 1 1
1 0 2
0 2 2
10 6
0 2 1
0 2 2
1 2 0
0 1 0
2 2 0
0 0 0
2 1 0
1 2 1
0 1 1
1 0 0
10 7
0 2 1
0 1 1
0 2 0
2 1 0
1 2 1
2 0 1
1 2 0
2 0 2
2 0 0
2 2 0
10 5
3 3 1
0 3 2
1 0 0
1 0 3
3 0 1
2 2 1
2 1 2
3 2 3
1 2 0
2 2 2
10 3
2 3 2
0 2 1
2 1 0
3 0 0
3 0 2
3 2 1
1 3 1
1 0 2
1 2 3
1 0 0
10 3
3 0 1
2 0 2
1 2 0
3 1 2
3 3 3
0 0 0
1 0 2
0 0 2
0 3 0
3 0 0
10 6
2 3 2
1 3 0
3 3 0
2 3 0
1 0 3
0 1 2
2 1 3
3 3 1
3 1 3
0 3 1
10 9
2 2 0
0 0 2
0 2 1
1 2 0
1 1 0
1 2 1
0 1 0
1 1 2
0 0 1
2 0 0
10 6
2 1 0
1 2 2
3 1 2
0 2 3
2 2 2
0 1 0
2 3 0
3 2 1
3 0 0
3 3 2
10 6
0 1 1
1 2 2
2 1 2
2 1 1
1 0 2
1 2 1
2 0 1
0 0 0
2 2 1
2 2 2
10 2
0 0 3
0 3 1
1 2 3
3 1 2
0 3 3
3 0 2
1 0 2
0 1 1
0 2 2
2 1 1
10 6
1 1 1
1 2 0
1 2 1
1 1 0
1 0 1
0 2 2
0 1 1
1 0 0
1 1 2
0 2 0
10 4
2 0 2
0 1 2
2 2 1
2 0 1
3 1 2
0 0 1
0 3 0
0 2 0
2 1 0
1 2 3
10 3
1 2 1
0 3 2
1 1 2
0 0 2
0 3 0
2 3 3
2 2 0
1 1 1
1 3 3
3 0 3
10 7
0 2 1
1 2 0
0 0 0
2 1 2
0 1 2
0 0 1
0 1 0
2 0 1
1 0 2
1 0 1
10 7
3 3 2
1 3 0
3 1 0
1 2 2
1 1 1
2 3 1
3 3 0
1 0 1
1 0 3
3 0 2
10 3
1 1 3
3 3 3
3 0 3
0 3 3
0 1 1
0 1 2
1 0 0
2 3 0
3 1 2
2 1 0
10 7
3 1 3
1 2 3
2 0 1
1 1 2
2 0 3
2 2 1
1 1 1
1 2 1
2 0 2
1 1 0
10 4
1 1 0
3 3 1
3 3 2
2 1 1
0 2 2
0 0 0
0 0 1
1 3 2
0 3 1
2 0 2
10 8
1 2 2
0 2 1
1 0 0
1 2 1
2 1 0
2 0 0
0 2 2
1 0 2
2 0 2
1 1 2
10 3
1 0 0
2 1 1
0 1 2
1 2 0
1 1 0
2 0 1
1 1 1
1 2 1
0 2 1
0 1 0
10 9
2 1 0
0 2 2
2 0 1
1 2 1
1 0 2
1 0 0
0 1 2
2 1 1
2 2 0
0 0 2
10 6
1 1 0
0 1 0
1 1 2
1 0 0
0 0 1
2 0 1
0 2 1
0 2 0
1 2 0
1 0 1
10 2
1 0 2
2 2 2
2 0 1
0 2 2
2 1 1
1 1 0
0 0 1
1 2 0
0 0 0
2 1 0
10 7
0 1 0
2 2 0
2 2 1
2 2 2
0 1 1
1 0 0
0 2 2
2 1 2
1 2 1
1 2 0
10 8
0 1 0
1 3 1
1 2 3
1 3 3
0 0 2
0 2 3
2 3 1
1 0 1
0 0 3
3 2 2
10 9
2 3 2
2 0 1
0 1 3
1 3 1
3 0 0
0 2 3
0 0 1
2 3 1
2 2 3
0 2 2
10 2
3 1 3
3 3 1
2 1 0
0 3 1
3 3 2
1 0 2
2 2 3
0 1 3
1 1 1
0 1 2
10 5
3 0 3
1 1 1
0 1 0
2 3 2
1 1 3
2 3 3
3 0 2
0 1 2
3 2 1
0 3 3
10 6
2 0 0
1 0 1
0 2 2
0 0 2
3 2 3
1 2 3
2 2 1
1 0 0
1 3 3
1 1 1
10 6
0 1 2
0 1 0
0 2 1
1 2 0
1 2 1
2 2 0
2 0 2
2 2 1
2 1 2
2 1 1
10 9
0 1 2
2 0 1
2 2 1
0 0 2
1 2 2
0 0 1
2 1 1
2 2 0
0 2 2
1 2 1
10 8
3 0 2
3 3 1
1 3 2
2 0 1
0 2 3
3 2 3
2 3 1
1 0 2
0 1 2
2 0 0
10 2
0 2 0
2 0 0
1 2 1
2 1 2
1 0 2
1 1 1
0 0 0
2 1 1
1 1 2
1 0 1
10 4
2 2 3
2 3 2
3 3 1
1 3 0
2 2 1
0 0 2
1 3 1
2 3 0
0 3 3
0 3 1
10 4
0 1 1
2 2 1
1 2 1
0 2 2
1 2 2
2 0 1
1 0 0
1 1 1
0 0 0
2 0 0
10 5
1 0 0
1 1 0
0 1 0
0 0 0
1 2 2
2 0 0
1 1 2
2 2 2
0 0 1
2 1 1
10 9
1 2 0
2 1 1
0 1 0
1 1 2
2 0 0
1 1 0
1 2 1
1 1 1
0 1 1
2 2 1
10 7
3 3 0
2 2 1
3 0 0
1 3 1
2 3 1
1 1 1
1 2 1
2 3 3
3 3 1
3 1 1
10 2
0 2 0
0 0 0
3 1 2
3 0 3
2 3 3
2 2 0
3 0 0
0 3 3
0 3 0
0 1 2
10 5
2 2 1
1 1 1
2 1 0
0 0 2
1 2 0
0 0 0
0 0 1
0 2 1
0 1 2
1 2 2
10 3
2 1 1
0 0 1
0 0 2
0 1 1
0 2 1
2 2 1
0 1 0
1 2 0
1 2 2
0 1 2
10 5
2 2 0
0 0 1
2 1 1
2 0 2
2 0 1
1 1 2
1 2 1
0 2 2
2 2 1
0 1 1
10 4
1 2 2
1 1 2
2 1 1
0 2 1
1 0 1
2 0 2
0 2 2
1 1 0
0 2 0
2 2 0
10 5
0 0 1
0 2 1
2 2 0
0 1 2
2 2 1
1 0 0
0 0 2
1 0 2
2 1 1
0 2 0
10 3
2 3 0
3 1 3
1 2 2
3 0 0
3 0 3
3 0 2
0 0 1
2 1 1
3 3 0
1 3 3
10 9
0 0 0
2 0 2
1 0 2
0 2 2
1 2 1
2 2 2
1 2 0
0 0 2
2 1 2
2 0 1
10 5
1 2 1
1 2 0
3 3 2
1 3 3
2 2 0
1 3 2
0 0 2
3 2 2
2 0 1
3 1 1
10 9
0 0 0
2 1 2
0 2 0
1 0 1
0 1 0
0 2 2
2 0 2
1 0 0
0 1 1
2 1 0
10 8
1 2 2
1 1 2
1 2 1
2 1 2
0 0 2
2 1 0
2 0 2
2 2 1
0 1 0
0 2 1
10 3
0 3 0
2 2 3
0 3 1
2 0 3
2 0 2
0 1 3
0 0 0
2 3 3
3 0 1
0 0 2
10 7
1 0 2
2 1 0
0 2 2
0 1 0
0 1 2
2 0 0
1 2 2
0 1 1
0 2 0
2 2 2
10 3
2 2 0
3 3 0
1 1 2
0 3 3
1 0 3
2 0 3
0 0 0
1 2 1
0 0 2
3 3 2
10 5
2 3 0
2 1 3
3 1 2
3 2 3
1 0 0
0 2 0
0 1 1
0 2 2
2 0 2
1 2 3
10 3
3 2 0
2 2 2
2 3 0
2 1 0
0 2 3
2 2 1
1 3 2
1 1 3
1 0 3
3 0 1
10 6
1 2 3
0 2 1
2 0 0
2 1 2
2 0 2
2 1 3
0 3 2
0 1 2
0 2 2
2 2 2
10 5
2 2 1
0 0 2
1 0 2
0 1 2
0 0 0
2 2 0
1 0 1
2 1 1
2 2 2
2 0 0
10 8
0 0 0
1 2 1
0 1 0
2 3 1
0 0 1
1 0 0
3 3 0
1 2 2
2 0 2
3 0 0
10 3
1 0 0
2 0 0
1 1 1
2 2 0
1 2 0
0 1 0
1 1 0
0 0 2
0 2 1
2 2 2
10 6
3 2 0
0 1 0
0 2 3
0 1 1
0 0 2
3 0 1
0 1 3
1 3 1
3 2 2
3 2 1
10 9
0 2 2
2 1 0
0 2 1
1 0 0
0 1 0
2 1 1
1 2 1
2 2 1
1 1 0
0 0 2
10 6
0 3 3
1 0 1
3 2 0
3 0 0
1 1 1
3 2 3
0 2 3
0 1 0
0 3 2
3 1 3
10 2
2 2 3
1 3 1
2 3 3
2 0 2
1 0 3
2 1 2
2 0 1
1 2 1
1 1 0
2 3 0
10 2
0 0 3
3 1 2
3 2 1
3 1 3
3 2 0
3 1 0
0 0 0
3 3 2
2 1 1
1 1 3
10 2
0 2 1
0 0 0
2 1 2
1 2 0
0 1 0
1 1 2
2 0 1
0 2 0
2 0 0
0 1 1
10 3
3 3 2
3 3 0
2 0 0
3 0 3
3 2 3
3 1 3
1 3 0
0 0 3
1 1 2
2 2 1
10 2
2 2 2
2 1 1
1 2 1
1 2 0
2 1 0
2 2 1
0 2 1
0 1 1
1 2 2
0 1 2
10 4
2 1 2
1 2 1
1 0 0
1 1 0
0 0 2
0 0 0
0 2 0
0 1 0
0 1 1
2 2 1
10 5
1 0 1
1 2 1
2 1 0
0 1 1
0 2 1
0 1 2
1 2 0
1 2 2
1 1 1
2 2 0
10 4
2 2 1
0 1 2
2 1 2
0 0 0
1 0 1
2 1 0
1 0 0
1 0 2
0 1 1
0 0 2
10 4
0 3 2
0 1 2
0 2 1
3 1 1
1 3 3
0 3 3
1 2 3
0 0 3
1 0 0
2 3 2
10 7
1 0 1
2 0 1
0 2 1
0 1 0
2 1 0
1 0 0
0 1 1
1 2 0
1 1 0
2 1 2
10 3
3 0 1
2 3 0
2 1 1
0 0 2
0 0 0
0 1 0
2 3 3
0 2 1
2 0 0
0 0 3
10 6
0 1 2
1 2 1
0 0 2
2 2 1
1 2 0
1 0 1
2 2 2
2 0 1
0 2 2
2 1 0
10 6
1 1 1
1 0 0
1 2 1
2 1 1
1 2 0
2 1 2
1 2 2
0 1 1
2 0 2
0 0 2
10 4
0 0 1
2 1 2
2 0 0
1 0 1
2 0 1
1 2 2
1 1 1
2 2 1
0 2 1
0 0 2
10 5
2 0 0
2 2 0
0 0 0
1 1 2
1 1 0
0 2 1
0 1 0
2 1 2
2 1 1
2 1 0
10 2
1 1 1
0 1 2
2 1 1
2 0 1
1 2 0
1 0 1
0 1 0
0 3 3
0 2 1
3 1 2
10 3
0 3 3
1 2 3
1 0 1
0 2 3
1 0 3
0 2 0
1 3 0
0 1 2
1 3 1
1 0 2
10 2
0 0 0
1 3 1
3 1 0
3 0 1
1 2 2
2 0 3
0 1 2
3 1 2
0 2 1
2 1 3
10 9
2 0 2
0 0 1
1 0 0
0 2 2
2 1 2
0 0 2
2 1 1
2 2 2
0 1 1
1 2 0
10 6
1 2 0
1 0 0
2 2 2
1 2 2
1 0 1
1 0 2
0 0 2
2 2 1
0 0 1
0 0 0
10 6
1 2 1
0 2 0
2 0 0
0 0 1
0 1 0
2 2 0
1 1 1
2 0 2
1 0 2
0 1 1
10 4
2 3 2
2 1 1
3 2 1
0 0 1
0 2 0
1 1 2
3 3 1
0 3 3
0 1 0
0 1 3
10 8
1 3 2
1 0 1
3 0 0
2 1 0
2 3 2
2 1 1
2 1 3
3 1 1
3 2 3
0 1 3
10 5
0 2 1
2 1 1
0 1 2
0 2 0
1 2 0
2 2 0
1 2 2
1 1 1
2 0 2
2 0 1
10 9
1 2 1
1 1 1
0 2 1
1 0 2
1 2 2
1 2 0
0 1 0
1 0 1
0 0 0
0 2 2
10 4
0 0 2
1 2 1
0 1 0
2 2 0
2 1 1
2 0 2
0 1 1
2 1 2
2 1 0
1 1 0
10 3
1 2 0
3 1 2
2 1 2
3 1 1
1 1 3
1 0 2
3 0 1
0 2 3
0 0 1
1 1 1
10 5
0 3 2
1 0 2
3 3 0
0 2 0
2 2 2
3 0 3
0 0 0
3 2 3
0 1 2
3 3 3
10 2
3 0 3
1 2 1
0 3 2
2 2 3
1 3 0
3 0 2
0 1 3
3 3 2
2 1 2
3 1 1
10 9
2 0 2
2 0 3
3 0 3
0 0 2
1 0 3
0 1 0
2 1 1
0 2 3
1 0 2
1 1 1
10 9
2 1 2
0 0 0
1 2 0
2 3 1
0 3 2
0 3 0
1 0 0
3 1 2
2 3 0
3 0 0
10 6
1 0 1
1 1 0
0 0 0
0 0 2
2 0 0
2 0 1
0 0 1
1 0 2
1 2 0
0 1 2
10 2
2 2 2
1 2 1
3 0 0
1 0 1
2 1 3
2 1 2
1 3 2
0 1 1
1 1 0
2 1 1
10 3
3 2 1
3 2 2
1 0 1
1 3 3
0 0 2
0 2 2
2 1 3
2 0 2
3 0 1
1 0 0
10 4
2 0 3
0 2 2
3 3 1
3 0 0
0 3 1
2 0 2
0 3 3
2 1 3
3 2 1
1 2 2
10 4
3 2 0
1 2 2
2 2 3
0 1 0
3 1 0
1 0 1
3 2 3
0 2 2
1 2 3
2 0 1
10 8
2 3 0
0 3 2
0 1 0
3 2 3
2 1 1
0 2 0
3 0 1
2 0 3
1 1 1
1 2 1
10 3
2 2 1
2 1 1
1 1 1
3 2 3
0 2 3
3 0 3
2 2 3
2 0 3
2 3 3
3 1 3
10 3
3 0 1
0 0 2
2 1 0
2 0 3
2 0 0
2 2 2
0 2 1
3 0 2
3 2 2
3 3 2
10 5
1 2 3
3 3 3
3 3 1
2 0 0
0 2 1
2 2 1
0 2 2
2 1 3
0 1 0
3 1 3
10 7
2 1 1
1 0 2
0 1 1
1 2 2
3 3 1
0 2 2
3 3 2
1 0 1
0 2 3
1 1 0
10 5
1 0 1
0 0 1
2 0 2
1 1 0
0 0 0
0 1 2
1 1 2
2 0 1
1 1 1
0 2 1
10 2
0 1 2
1 0 0
2 2 1
0 0 2
1 2 2
2 0 2
1 1 2
0 0 0
2 1 2
2 1 1
10 8
0 1 2
0 1 0
1 0 1
1 1 2
0 2 2
0 0 2
0 0 0
2 1 1
0 0 1
2 2 0
10 4
3 2 2
3 1 2
0 1 1
0 2 2
0 3 2
3 3 3
2 1 3
3 1 3
1 3 0
2 3 3
10 6
1 1 0
0 2 0
2 0 0
3 3 1
1 1 3
3 2 1
3 3 2
3 1 2
3 0 3
0 3 2
10 6
2 1 3
2 2 1
1 2 2
3 2 2
0 0 0
2 3 1
0 1 3
0 2 1
2 1 2
1 3 3
10 6
2 3 0
3 3 0
1 3 1
1 1 3
3 3 2
0 1 3
1 1 0
3 2 0
3 1 3
3 0 2
10 2
0 0 0
1 1 2
2 2 1
0 0 2
2 0 0
2 0 2
1 1 0
2 1 2
1 0 0
2 0 1
10 6
1 2 2
1 0 1
0 0 1
0 1 0
0 1 1
0 0 0
1 0 0
2 1 1
1 1 0
1 1 1
10 3
3 3 2
1 1 0
1 3 0
1 2 3
0 1 0
3 1 0
3 1 3
2 3 2
1 0 0
1 1 2
10 5
1 0 2
2 0 2
0 2 0
0 2 2
1 1 2
0 0 1
2 1 0
1 1 1
2 2 2
0 1 1
10 2
3 0 2
1 3 2
3 1 2
1 1 1
2 3 0
2 3 2
1 2 0
3 1 3
0 3 0
0 1 0
10 7
2 0 1
2 2 2
0 2 2
1 2 0
0 1 1
0 0 1
0 1 2
2 1 0
2 1 2
1 1 2
10 6
1 1 0
0 0 0
2 1 0
0 1 2
2 2 0
2 0 0
0 2 0
0 2 2
0 0 2
2 0 1
10 5
2 1 2
0 2 2
1 2 0
1 0 1
0 1 0
0 1 2
2 2 2
2 0 1
2 2 1
0 0 0
10 5
1 3 1
0 3 1
0 1 1
2 0 3
2 2 3
3 3 3
1 0 3
3 1 3
0 2 2
1 3 0
10 3
0 1 2
0 2 0
0 0 1
2 0 1
1 1 2
1 0 1
1 2 0
2 0 0
2 1 1
1 0 0
10 3
1 1 0
1 2 1
1 1 1
2 0 0
0 1 0
2 1 1
2 2 1
2 1 0
2 2 2
2 1 2
10 2
2 3 1
1 1 2
3 2 1
0 0 1
2 2 0
2 2 2
0 3 1
3 0 2
2 0 0
3 1 3
10 8
0 0 1
0 1 2
2 2 0
1 1 0
1 3 2
1 2 0
3 0 2
3 1 0
1 0 1
1 1 1
10 2
2 0 0
0 2 3
3 0 3
2 1 3
3 2 3
2 3 0
0 3 3
3 2 0
1 2 0
1 1 3
10 6
1 2 1
1 0 1
2 1 0
2 2 1
0 2 2
2 1 1
2 1 2
0 2 1
2 0 1
2 2 2
10 4
2 2 2
1 1 3
2 0 2
0 1 0
1 3 2
2 3 0
0 2 0
3 2 2
1 1 2
2 2 1
10 9
1 0 2
2 2 0
1 0 0
1 0 1
0 2 1
0 0 2
1 2 2
0 2 2
2 2 1
2 1 2
10 4
1 1 1
0 2 1
2 1 1
0 1 0
1 0 0
2 2 2
1 2 1
1 1 2
0 0 2
1 2 0
10 2
2 1 1
2 0 1
2 0 2
1 2 2
1 1 1
1 1 0
0 2 1
1 0 1
1 0 0
2 0 0
10 9
0 1 2
1 0 1
3 0 1
0 3 2
3 1 0
3 1 3
2 1 2
3 3 1
3 2 2
1 3 0
10 5
0 1 0
1 0 1
1 2 1
0 2 2
2 1 0
0 1 2
1 2 0
0 0 0
2 2 2
2 0 0
10 5
3 0 2
2 1 0
1 1 3
2 2 3
1 2 3
0 1 3
1 3 0
3 2 3
2 0 0
2 2 2
10 2
2 1 1
2 0 1
2 0 0
0 1 1
0 2 1
1 1 2
0 0 1
2 1 2
0 1 2
2 2 1
10 2
1 0 0
2 2 0
1 1 1
1 1 2
0 2 2
0 1 1
0 2 1
0 1 2
2 1 0
0 0 0
10 4
2 1 0
1 1 1
1 1 0
1 0 2
0 2 0
2 0 1
1 0 0
0 1 0
0 1 1
2 2 2
10 2
0 0 1
0 1 0
1 0 1
2 2 1
0 0 0
1 2 1
1 1 0
1 1 2
0 1 2
2 0 0
10 7
0 2 0
2 1 0
3 0 2
0 3 0
3 1 3
0 0 2
1 0 3
0 2 1
1 1 2
3 3 2
10 2
1 2 1
2 0 1
0 2 1
1 0 0
2 2 1
2 2 2
0 0 1
1 1 0
1 2 2
1 0 2
10 4
2 1 0
0 1 1
1 0 1
1 1 1
1 2 1
2 2 1
1 2 2
1 1 0
2 2 2
2 0 1
10 4
0 0 3
1 2 2
1 2 0
1 2 3
1 2 1
1 3 3
2 1 0
0 1 3
2 2 3
3 0 3
10 9
2 2 2
1 1 1
0 0 2
2 1 0
1 1 0
0 2 2
2 0 0
0 1 2
1 2 0
0 0 1
10 6
2 0 1
0 1 0
2 0 2
1 1 0
1 1 1
2 1 2
0 0 0
1 1 2
0 0 1
2 2 1
10 9
0 2 2
0 1 0
1 1 2
0 2 0
1 1 1
0 0 1
0 0 2
1 1 0
1 2 1
1 2 0
10 8
1 3 3
3 0 2
0 0 2
0 2 0
2 0 2
1 1 3
0 0 3
1 3 0
1 3 2
0 3 0
10 8
0 1 0
3 1 2
2 3 3
2 0 0
2 3 1
3 0 1
0 3 2
3 2 2
0 3 3
1 3 2
10 3
0 0 0
2 0 2
1 2 2
1 1 1
0 2 0
2 0 1
2 2 1
0 1 1
1 0 0
1 2 0
10 3
0 2 1
0 2 0
2 0 0
1 1 0
1 0 0
1 2 0
2 2 1
0 1 0
2 0 2
2 2 2
10 8
0 2 2
0 1 2
1 2 1
2 2 1
2 2 0
1 2 0
0 0 1
2 1 2
1 1 1
0 2 0
10 7
0 3 3
0 1 1
3 3 3
0 1 2
3 2 1
2 3 2
1 1 0
1 0 3
1 0 1
2 0 0
10 2
0 0 0
1 1 1
1 2 0
1 0 0
2 0 0
0 1 1
1 2 1
1 2 2
2 1 1
1 1 0
10 2
1 1 2
1 0 2
0 1 2
2 0 1
2 1 2
2 2 0
0 1 0
1 1 0
2 0 2
1 0 0
10 7
2 0 2
0 0 0
2 1 1
2 2 2
2 2 1
1 2 1
0 0 2
0 0 1
1 0 2
1 2 0
10 9
0 3 1
2 3 0
0 2 0
2 3 2
3 0 0
2 0 1
3 3 2
1 2 3
0 1 3
2 0 0
10 5
2 3 2
2 2 0
3 3 1
1 0 1
0 0 1
1 2 2
3 2 3
0 0 0
1 3 2
1 0 0
10 8
2 0 1
0 1 0
1 0 0
0 2 2
1 0 2
2 1 2
2 2 0
0 0 2
2 0 2
1 2 2
10 8
2 1 2
1 1 2
0 0 1
0 1 2
0 1 1
0 1 0
2 1 0
2 2 0
1 2 2
2 0 0
10 7
1 0 0
0 0 2
3 1 3
2 0 1
2 2 0
3 0 0
3 3 0
0 2 0
3 1 1
2 2 3
10 5
2 2 2
2 0 1
2 2 1
2 3 3
0 3 3
1 2 3
2 3 0
1 0 1
2 3 2
1 1 2
10 2
2 1 0
2 0 0
1 1 2
1 2 1
1 0 2
0 2 0
0 2 2
0 0 2
2 0 2
1 2 0
10 8
1 2 3
0 3 0
3 3 3
0 0 1
0 1 0
3 3 2
2 0 1
2 0 0
1 0 1
1 0 2
10 5
3 2 2
0 1 0
1 1 1
2 3 1
1 1 3
0 3 3
3 3 1
0 3 0
1 1 0
0 2 2
10 9
2 1 0
0 2 1
2 1 2
0 1 1
2 2 1
0 2 2
2 1 1
1 2 2
1 1 1
2 0 2
10 7
3 0 0
3 3 1
2 2 3
2 3 2
0 1 0
3 3 2
1 3 1
2 1 0
3 0 1
3 2 3
10 5
2 0 1
0 0 1
0 1 0
2 1 1
1 1 1
1 2 0
2 1 0
2 2 2
1 2 2
1 0 0
10 5
1 0 3
1 1 0
0 0 0
1 2 1
0 3 0
0 3 1
2 1 3
1 0 2
1 3 2
2 1 1
10 5
0 2 1
0 2 2
1 2 1
1 2 2
1 1 0
2 2 0
2 1 0
0 0 0
2 2 1
1 0 2
10 3
2 2 2
2 1 1
1 1 1
2 0 1
2 0 0
0 1 0
0 2 1
0 0 0
2 0 2
1 0 0
10 8
0 1 3
2 0 2
1 0 3
3 0 1
0 3 1
1 3 0
2 0 0
2 2 3
2 0 1
3 2 0
10 8
1 2 1
0 0 0
0 3 0
1 0 2
0 2 0
0 2 1
3 3 1
2 0 3
2 0 1
3 1 3
10 9
0 1 2
0 1 1
0 2 2
1 0 0
2 2 2
1 2 2
2 2 1
0 0 2
2 0 0
2 2 0
10 9
0 1 2
2 0 1
2 1 2
0 2 0
1 2 0
1 1 0
0 0 2
0 2 1
0 0 0
0 0 1
10 6
2 2 2
0 1 1
1 1 2
2 2 0
2 2 1
1 0 1
0 2 2
1 0 2
1 2 2
2 1 2
10 3
2 2 2
1 1 0
1 0 2
2 2 0
1 1 2
1 1 1
2 1 1
2 1 2
0 1 0
2 1 0
10 2
3 2 2
1 1 3
3 0 1
2 3 2
3 1 0
0 0 2
0 2 1
3 3 1
1 1 0
2 2 3
10 6
1 0 3
1 3 1
1 0 0
2 1 1
0 2 0
3 1 3
1 1 0
2 2 2
3 0 3
2 3 3
10 3
2 2 1
2 2 3
3 0 2
2 1 3
3 2 1
2 1 1
3 3 1
1 1 2
1 2 0
2 0 3
10 6
2 0 1
1 2 0
3 2 2
0 1 3
0 0 3
0 1 2
1 0 3
0 0 1
3 0 3
1 3 1
10 2
0 0 0
1 1 0
0 1 1
1 2 1
0 1 0
1 0 2
0 2 0
1 1 1
0 2 2
2 2 0
10 9
1 3 0
3 3 3
2 2 2
0 1 0
0 3 2
2 2 0
3 2 1
2 0 1
1 2 1
0 0 2
10 5
2 3 2
0 2 0
3 2 0
0 1 1
0 1 0
3 0 1
0 3 2
3 0 0
3 0 3
3 3 3
10 3
2 2 2
0 2 1
2 0 2
0 0 0
0 1 1
2 0 1
0 1 0
1 1 1
0 2 2
1 1 2
10 5
0 2 1
2 2 1
1 2 2
2 0 0
1 0 2
1 0 1
0 1 1
1 1 0
2 2 2
2 1 2
10 3
1 0 0
1 0 1
0 1 1
2 2 0
2 2 1
0 2 2
2 1 2
0 2 0
0 1 0
2 1 1
10 8
3 3 0
0 0 0
2 2 0
0 0 1
2 3 2
2 0 3
0 3 3
2 0 1
2 2 3
2 3 0
10 4
2 1 1
2 1 2
2 2 1
1 0 0
1 1 1
0 1 1
2 0 0
0 0 2
0 0 1
2 1 0
10 9
0 1 2
3 3 3
1 1 3
2 0 1
2 3 1
3 1 1
2 3 0
0 3 3
3 2 2
1 0 3
10 2
1 1 3
3 1 1
1 1 1
3 0 1
0 3 0
3 3 3
1 2 3
1 3 1
0 1 2
2 0 1
10 6
0 0 2
2 1 0
2 1 2
3 1 1
0 0 0
1 0 1
1 0 3
1 1 2
2 3 2
1 1 3
10 2
0 0 2
1 0 1
0 0 1
0 2 0
1 1 1
1 2 2
1 0 2
1 0 0
2 1 2
2 2 2
10 8
1 0 0
2 2 3
3 3 2
3 3 3
2 0 1
3 1 1
0 1 2
2 1 1
2 3 3
0 0 1
10 4
1 2 0
3 3 2
2 0 3
1 0 3
3 2 0
0 3 0
3 3 0
1 0 2
3 2 1
0 2 2
10 5
0 0 2
2 1 3
1 2 3
3 2 1
2 2 1
2 3 3
1 2 2
3 1 1
3 1 0
1 3 3
10 3
3 3 2
2 0 1
0 2 1
0 3 1
3 2 1
2 2 3
1 0 1
0 1 3
2 1 3
2 0 0
10 3
1 0 1
0 1 1
0 2 1
1 0 0
2 0 1
0 1 0
1 1 0
1 2 0
0 0 1
2 2 0
10 9
2 0 0
2 2 0
0 2 2
1 2 2
2 0 1
1 1 2
2 2 1
1 2 1
0 2 0
1 2 0
10 9
1 0 0
0 1 0
2 0 1
2 1 1
1 2 0
1 2 1
0 2 2
0 1 1
2 2 2
1 0 1
10 2
3 0 1
1 3 1
0 3 0
1 1 0
2 2 1
3 1 1
3 3 2
1 2 0
2 3 1
2 1 0
10 3
0 0 3
0 2 3
0 3 0
3 0 0
3 0 3
3 1 2
3 3 0
2 1 0
1 0 2
3 2 2
10 4
0 1 1
0 0 0
1 2 2
2 0 0
0 2 1
0 0 2
1 1 0
0 1 0
2 2 2
0 1 2
10 5
2 1 2
1 1 0
1 0 0
2 2 1
0 1 0
0 2 1
2 2 2
2 2 0
0 2 0
1 1 2
10 9
2 0 1
1 1 0
0 0 1
2 1 3
2 2 3
1 0 0
1 2 3
3 2 3
3 3 0
3 3 2
10 7
3 3 0
3 3 3
0 3 0
2 1 3
2 2 1
3 2 1
1 0 0
3 0 2
2 3 2
1 3 3
10 2
1 2 1
2 0 1
2 0 0
0 2 1
2 1 0
0 2 0
2 2 1
1 1 2
1 0 0
2 1 2
10 2
0 3 1
2 2 1
1 0 3
1 2 3
3 2 0
3 0 2
0 0 3
0 2 1
0 1 0
0 3 2
10 5
2 2 1
1 0 2
1 2 2
1 1 0
0 1 0
2 1 0
2 2 2
2 2 0
2 0 0
0 1 1
10 7
1 0 0
0 2 2
1 1 2
1 0 1
2 0 2
1 1 1
0 2 1
1 1 0
0 1 0
0 0 0
10 9
3 3 1
1 1 1
2 1 1
3 0 0
1 0 1
0 0 2
0 2 2
0 0 0
1 2 2
2 3 0
10 3
0 0 0
2 2 1
2 1 0
1 0 0
1 1 0
2 0 2
0 1 1
0 0 2
2 2 2
2 0 1
10 2
2 1 3
3 0 2
3 3 0
2 3 0
2 2 0
0 0 0
2 2 3
3 2 3
3 2 2
2 2 1
10 5
1 1 1
0 2 0
0 2 2
1 0 1
2 2 2
0 0 2
1 0 0
1 2 0
1 2 2
0 1 0
10 3
2 3 1
3 3 2
1 1 1
1 0 1
2 2 0
1 2 0
1 3 3
0 3 0
2 0 2
2 3 0
10 8
1 2 0
2 1 0
0 0 0
1 3 1
2 1 2
3 2 1
0 3 3
2 0 3
3 1 3
3 3 2
10 7
2 0 1
1 1 0
2 1 2
0 1 0
0 1 2
2 1 1
0 0 2
1 2 1
0 0 0
2 2 0
10 7
1 2 2
2 1 1
0 1 1
1 1 1
2 0 1
1 2 1
1 1 2
0 0 1
2 1 0
1 0 0
10 6
0 0 1
0 0 0
1 2 2
1 0 2
2 2 1
2 2 2
2 0 2
1 1 2
1 1 0
0 1 0
10 5
3 3 0
0 0 3
1 1 2
2 2 0
1 3 2
3 1 2
0 2 2
2 0 0
2 3 1
2 1 0
10 3
0 2 2
2 2 2
1 2 2
0 1 2
2 1 2
0 0 0
1 2 0
1 1 0
0 0 2
2 2 1
10 3
1 2 2
0 2 1
0 0 1
2 2 0
1 2 1
0 2 0
2 2 1
2 0 1
0 1 2
1 1 0
10 6
1 1 0
0 3 0
0 3 2
2 1 2
1 2 1
0 2 1
1 1 3
3 1 2
0 0 3
0 1 1
10 3
1 1 1
1 2 1
2 1 1
2 2 0
1 2 2
2 0 2
0 2 1
0 2 0
2 0 1
0 1 0
10 5
1 2 2
0 0 1
2 0 3
1 0 1
1 1 2
3 2 3
1 0 0
0 3 0
2 1 1
3 1 0
10 4
2 2 0
2 1 2
2 2 1
0 1 1
1 0 2
0 0 2
0 1 0
2 1 0
2 0 0
1 0 0
10 6
2 0 2
2 3 2
0 2 0
2 3 3
3 0 3
3 1 0
1 2 2
0 3 0
0 2 1
0 1 0
10 9
0 0 2
3 0 1
0 0 0
0 0 3
2 3 3
3 2 1
3 3 2
2 3 0
1 2 2
3 2 2
10 5
1 2 0
2 2 0
1 2 2
1 1 1
0 0 2
2 1 2
1 1 2
2 0 1
2 1 0
0 2 0
10 5
1 1 3
0 0 0
2 1 3
0 1 1
2 3 0
2 2 3
3 3 1
2 0 1
0 1 3
0 3 3
10 7
3 3 2
1 1 1
2 3 1
2 2 0
1 0 3
3 1 0
2 1 2
2 0 1
1 3 2
1 1 3
10 8
1 2 0
1 1 0
2 0 1
0 0 0
1 1 2
2 1 2
0 1 0
2 2 1
1 0 0
2 1 1
10 8
3 1 0
3 1 2
0 1 3
0 3 0
2 2 1
1 2 1
3 0 1
2 1 2
3 2 2
0 3 2
10 6
2 0 1
0 2 2
1 1 2
1 1 1
1 2 0
2 1 1
0 1 2
2 2 0
1 0 1
0 2 0
10 3
1 0 0
1 1 1
0 1 2
2 2 2
1 0 2
0 2 2
1 1 0
0 0 2
1 2 2
2 0 0
10 3
0 0 0
2 1 1
1 0 1
0 2 1
1 0 2
1 1 0
1 1 1
2 2 0
1 2 0
2 1 0
10 3
1 1 2
0 1 0
2 1 0
2 2 0
1 2 0
1 1 0
1 0 2
0 2 2
1 0 0
1 0 1
10 6
0 0 2
1 0 0
1 2 2
0 1 1
0 2 2
2 1 1
1 2 0
2 1 0
1 1 1
0 2 0
10 8
2 0 3
1 1 0
1 3 2
1 0 1
3 2 1
0 2 2
1 0 3
3 3 3
3 2 2
3 1 0
10 6
0 1 1
0 0 1
2 0 2
0 0 0
1 1 2
2 1 2
2 2 0
0 2 1
1 1 1
0 2 2
10 4
0 1 0
2 0 0
1 2 2
0 0 2
2 2 0
1 0 1
0 2 1
1 2 0
1 1 1
0 0 1
10 4
0 1 0
1 0 0
0 1 1
2 0 2
2 0 1
2 2 2
0 0 1
2 1 1
0 1 2
1 1 1
10 7
0 1 2
2 1 2
0 0 2
1 1 0
1 1 2
0 0 1
0 2 0
1 2 2
0 1 1
0 2 1
10 4
1 3 2
2 0 3
3 0 2
1 2 3
3 3 1
2 1 2
1 3 1
3 0 0
0 3 1
0 2 2
10 5
2 1 2
3 3 2
1 0 3
0 0 2
1 1 2
3 3 3
0 2 0
3 3 0
0 0 0
2 3 2
10 8
1 0 0
1 2 2
2 3 2
1 3 2
2 1 3
2 2 2
2 0 0
1 2 0
2 0 2
1 2 3
10 7
0 0 2
1 0 1
2 2 2
2 0 1
1 2 2
1 0 0
0 1 0
1 1 2
2 0 2
0 2 1
10 2
2 1 3
0 3 1
3 3 3
2 2 3
3 2 3
0 2 3
1 3 3
3 2 1
2 0 0
1 0 3
10 4
2 1 1
2 0 1
1 2 1
1 1 0
2 2 2
0 0 2
2 2 1
2 0 0
1 2 2
1 0 1
10 9
1 0 1
0 2 0
0 0 0
2 3 0
3 0 2
2 2 0
3 3 2
3 1 2
0 2 1
0 3 2
10 4
1 1 1
1 1 0
1 2 0
1 0 0
2 3 1
3 0 1
2 3 2
1 1 3
0 3 2
1 2 1
10 4
3 0 0
3 1 3
3 3 3
2 1 2
1 0 2
3 3 1
2 3 1
1 0 3
1 2 1
0 3 3
10 6
1 1 3
1 3 3
2 2 1
0 2 1
3 0 2
3 0 0
2 3 2
3 3 0
1 2 1
1 2 2
10 7
3 1 1
1 0 2
3 0 0
0 1 2
3 2 1
0 3 2
1 2 1
1 2 3
2 1 3
3 0 1
10 5
0 2 0
1 1 2
1 2 1
0 0 0
0 2 1
2 0 2
2 1 0
2 1 1
1 2 0
0 2 2
10 5
1 1 3
3 2 2
3 0 2
1 1 1
2 1 3
3 0 1
3 1 2
3 0 3
3 3 3
2 3 3
10 7
0 3 2
0 0 3
3 0 2
3 1 3
0 1 0
2 0 3
0 3 3
3 2 1
0 2 0
1 2 0
10 8
3 1 3
3 2 1
3 0 2
2 3 3
3 3 3
1 1 1
0 3 2
3 1 2
1 3 1
1 3 0
10 6
0 3 3
0 3 1
1 2 3
3 2 3
3 3 1
3 1 1
2 1 1
2 2 2
2 0 2
3 2 0
10 5
1 0 2
2 2 1
1 1 2
1 2 1
2 1 1
1 0 0
0 1 0
0 0 2
0 2 1
0 0 0
10 7
3 1 1
2 2 0
1 0 1
2 2 1
2 2 2
3 0 3
1 0 3
3 2 0
0 0 0
2 3 2
10 5
0 0 0
2 0 0
2 2 0
0 0 1
2 0 2
1 2 0
2 0 1
1 0 1
2 2 2
1 1 0
10 2
1 2 2
2 0 2
0 0 2
1 0 2
2 2 0
0 0 0
2 0 1
1 2 0
2 2 1
0 1 1
10 8
0 3 1
3 1 2
3 3 3
1 0 3
3 0 2
1 0 2
2 2 1
3 2 3
0 2 2
1 1 1
10 2
1 0 2
2 2 1
0 2 1
2 1 0
2 0 0
2 1 1
1 1 0
0 2 0
1 1 1
2 0 2
10 5
2 0 0
2 2 0
2 1 2
0 2 2
0 0 3
3 3 3
1 2 2
3 1 3
1 0 3
1 1 0
10 3
2 2 1
0 0 1
0 1 1
1 1 0
1 2 2
1 0 1
0 2 2
2 1 0
1 1 1
2 0 1
10 4
1 2 1
2 0 2
2 2 1
1 2 2
0 0 1
1 1 2
1 2 0
2 1 2
1 1 1
0 2 0
10 2
1 2 2
0 2 1
0 0 2
1 0 0
0 2 2
2 1 1
1 1 2
1 1 0
0 1 0
1 2 0
10 9
0 1 3
2 0 1
3 1 2
1 2 1
3 1 3
0 2 2
0 3 2
0 1 0
2 3 0
0 0 2
10 5
0 2 2
1 1 0
1 2 2
1 1 1
2 0 0
0 0 0
0 2 1
1 0 1
0 1 1
2 1 1
10 5
0 0 1
2 1 1
1 0 1
2 0 2
0 1 2
2 1 0
1 1 1
2 2 2
1 2 0
0 0 2
10 7
3 2 3
3 3 3
3 1 0
0 1 2
3 2 1
2 1 2
1 3 1
0 0 3
0 1 0
2 1 3
10 3
1 1 0
0 2 2
0 0 0
0 1 0
2 2 1
1 0 1
1 2 2
2 0 2
0 1 2
2 2 0
10 7
2 2 2
1 0 3
3 3 1
0 0 1
0 0 2
3 1 3
0 0 0
0 3 2
3 0 3
3 2 2
10 6
1 1 0
3 0 1
1 3 3
1 0 3
0 2 0
0 2 3
2 3 1
3 2 0
3 0 3
2 1 2
10 8
3 0 3
0 0 2
2 0 1
3 2 2
2 2 1
2 0 2
3 3 0
2 1 2
1 3 2
0 2 0
10 8
0 0 2
0 3 1
1 1 0
2 1 0
2 0 2
1 2 2
2 2 0
0 3 2
2 3 0
0 2 0
10 7
0 2 1
2 1 0
1 2 2
2 2 2
1 2 0
2 1 1
1 1 2
2 2 1
2 0 0
1 0 2
10 4
0 0 0
0 2 2
1 2 0
0 1 0
1 1 0
0 2 0
1 1 1
1 2 1
0 2 1
2 1 2
10 6
1 2 2
0 1 1
1 2 1
0 2 2
2 0 2
0 1 2
0 2 1
2 1 2
0 1 0
2 1 1
10 9
3 3 1
2 1 0
3 2 0
3 0 3
1 2 1
3 2 1
2 0 2
0 0 0
0 0 1
0 2 1
10 5
1 1 0
1 3 1
3 0 2
2 0 3
0 3 0
0 1 1
0 3 1
3 2 3
3 3 0
0 2 0
10 2
1 2 2
0 2 1
2 2 2
2 0 2
2 2 0
2 2 1
2 1 2
2 1 1
0 2 2
0 2 0
10 7
0 0 0
2 2 2
1 2 3
0 1 0
3 2 0
1 3 2
2 1 1
2 1 0
3 0 0
1 0 3
10 2
2 0 2
0 2 0
2 2 1
3 3 2
1 0 3
3 2 2
0 1 1
2 3 1
0 3 0
1 0 2
10 2
0 0 0
1 1 0
1 2 0
2 2 0
1 0 1
2 0 1
0 0 1
2 1 1
0 2 1
1 1 1
10 7
0 0 2
2 0 1
1 2 0
0 2 1
1 2 1
1 0 0
2 0 0
2 1 1
0 1 0
1 2 2
10 7
0 0 1
2 1 0
1 1 3
1 0 1
3 3 2
3 2 1
2 1 2
3 1 1
2 0 3
2 3 3
10 7
0 1 1
2 2 0
2 1 3
3 3 0
0 2 1
2 0 0
3 3 1
1 2 3
1 0 3
3 1 0
10 9
0 2 0
0 1 2
0 1 0
2 2 2
1 2 0
0 0 2
1 2 1
2 0 1
2 0 2
0 0 1
10 5
2 0 0
0 1 0
0 0 0
1 1 1
2 1 0
0 2 0
0 0 1
0 1 2
2 1 2
1 1 2
10 4
2 2 3
2 0 1
3 1 0
3 0 2
1 2 2
3 1 2
0 3 2
1 0 1
0 3 1
2 0 0
10 8
0 0 2
1 2 2
0 1 2
2 2 0
1 1 0
2 2 1
0 1 1
0 1 0
2 1 0
1 1 1
10 7
0 1 2
1 2 0
0 1 0
0 2 1
1 2 2
2 1 2
2 0 0
2 1 0
0 2 2
2 1 1
10 4
2 1 2
1 0 0
2 2 2
1 1 2
2 0 1
1 1 0
0 1 0
1 0 1
2 0 0
0 1 2
10 7
0 1 1
2 0 1
1 0 2
2 0 2
0 0 0
1 1 0
0 2 1
2 1 1
1 1 1
2 2 1
10 6
1 1 2
0 0 0
2 0 1
2 1 0
0 0 2
2 1 2
0 0 1
2 2 2
0 2 1
1 2 0
10 3
1 2 0
0 0 2
0 1 2
2 0 2
1 1 1
0 2 0
1 2 1
0 1 1
1 1 2
2 0 1
10 4
0 0 0
0 0 1
2 2 0
3 3 3
2 2 1
1 3 0
1 1 3
2 1 2
3 0 3
3 0 1
10 9
1 0 2
1 0 1
2 2 0
3 3 3
0 2 0
2 1 2
1 2 3
3 1 0
3 1 2
2 3 1
10 5
0 1 0
2 2 1
1 2 2
2 0 1
2 2 2
1 1 1
2 1 1
1 1 2
0 2 2
2 0 0
10 9
1 0 2
0 2 1
1 1 1
2 0 0
2 2 2
1 1 2
2 1 0
1 1 0
0 1 0
0 0 2
10 8
1 1 2
0 1 2
1 0 0
1 2 0
0 0 1
2 0 0
0 2 1
0 0 0
2 1 1
2 2 2
10 3
0 2 0
2 1 0
1 0 1
2 2 1
0 2 2
0 1 2
2 1 2
0 0 1
0 0 2
1 0 0
10 6
0 2 2
1 0 1
0 1 0
2 1 0
2 2 0
1 0 0
1 1 1
0 2 1
2 2 1
2 0 1
10 2
2 1 1
2 0 1
1 0 0
3 2 3
2 0 2
1 2 1
2 2 2
3 2 0
0 0 0
1 0 3
10 8
2 0 2
3 3 0
0 0 2
0 1 1
3 2 0
1 1 3
0 1 2
1 1 2
1 0 3
2 3 0
10 9
2 3 1
1 0 3
1 3 0
3 1 3
3 2 3
2 1 0
0 1 1
1 1 2
2 3 3
3 1 1
10 2
2 0 2
3 1 0
3 3 3
3 1 2
3 2 2
3 3 0
3 0 3
1 1 3
2 2 3
0 2 1
10 6
2 2 0
1 1 1
0 2 0
2 1 2
2 0 0
2 2 1
2 0 1
1 2 2
1 2 1
2 2 2
10 9
3 3 3
2 0 3
2 1 1
1 2 1
0 0 2
1 0 0
3 1 2
3 0 3
1 0 2
3 0 1
10 6
1 2 2
1 2 0
1 2 1
2 0 2
2 0 1
0 1 2
0 2 2
2 2 2
0 0 2
0 2 0
10 8
2 1 0
0 1 2
1 2 1
1 1 1
0 1 1
0 1 0
1 2 2
1 0 0
0 0 2
2 0 2
10 5
0 2 0
0 2 1
0 0 0
0 1 0
2 1 0
0 0 2
0 0 1
0 1 2
1 2 1
1 2 0
10 8
1 2 2
1 0 1
2 1 2
1 1 2
1 0 0
2 2 0
2 0 1
2 1 0
2 0 0
0 0 1
10 7
2 1 1
3 2 1
1 2 3
0 3 0
3 0 3
0 1 2
1 1 1
0 2 1
0 2 2
2 1 0
10 8
2 0 1
2 3 3
0 1 0
0 2 2
0 0 1
1 3 1
0 3 2
0 0 0
3 3 3
2 3 0
10 6
0 2 1
0 2 2
2 0 2
2 0 0
1 0 0
2 1 0
1 0 2
0 1 1
2 2 2
1 0 1
10 7
0 3 3
1 0 2
2 0 1
1 3 0
3 3 0
1 1 0
3 0 1
2 1 1
3 1 3
2 2 2
10 5
1 1 2
0 1 1
2 0 2
0 2 0
1 0 2
0 2 2
2 1 1
1 2 2
0 2 1
0 0 0
10 8
0 0 1
0 1 1
2 3 2
1 1 3
1 2 0
2 3 3
2 1 0
1 0 1
3 1 1
1 2 2
10 4
0 0 2
1 2 0
0 1 2
0 2 1
1 2 2
2 2 1
2 2 2
1 2 1
2 2 0
1 1 2
10 9
0 3 1
3 0 3
2 2 3
3 2 1
2 0 2
3 0 0
2 2 2
0 3 3
1 0 3
0 1 3
10 5
1 1 0
1 2 1
0 0 2
0 2 1
1 0 1
0 1 1
1 1 2
0 1 0
0 0 0
1 2 0
10 7
0 1 0
2 2 1
1 0 2
0 2 2
1 0 0
0 0 2
1 0 1
1 2 0
0 1 1
2 2 2
10 8
1 0 0
2 1 0
3 3 0
2 0 2
0 3 1
1 0 2
0 0 2
1 2 2
0 2 1
1 0 1
10 5
2 0 0
0 0 0
1 1 2
1 2 1
2 1 0
1 2 2
2 1 1
2 2 2
0 2 0
0 2 2
10 5
0 0 1
0 0 2
0 3 0
1 2 0
2 3 1
3 3 2
2 2 2
2 1 2
1 1 0
1 1 1
10 6
1 3 0
2 3 1
0 1 1
2 1 2
0 2 1
3 1 1
1 1 2
1 2 0
1 0 0
3 2 1
10 7
0 2 0
1 0 2
1 0 0
1 1 0
2 0 2
1 1 1
0 1 0
1 0 1
2 0 0
2 1 1
10 7
0 1 1
1 0 0
1 1 1
0 2 0
1 2 1
0 1 2
0 2 1
2 0 1
2 2 1
2 1 0
10 6
1 1 0
0 0 1
2 0 1
2 0 2
3 1 0
0 3 3
3 3 0
3 3 1
1 1 3
1 2 1
10 9
2 1 3
0 1 0
2 1 2
1 1 2
0 3 2
3 0 3
2 1 0
3 2 2
0 1 1
1 1 3
10 8
2 0 1
1 2 0
3 3 2
2 1 2
1 1 0
0 2 3
0 3 1
0 3 3
1 0 1
3 2 1
10 2
3 2 0
0 0 0
1 1 0
2 0 2
2 3 3
0 1 1
1 3 3
2 2 2
0 0 1
3 2 2
10 2
0 2 1
0 1 0
2 0 0
1 0 0
2 2 0
0 0 0
0 2 0
2 1 1
2 1 0
1 2 1
10 5
1 2 0
2 0 1
2 2 1
1 0 2
0 1 1
2 1 1
2 1 2
1 0 0
2 2 2
0 1 0
10 3
3 3 0
2 3 1
3 1 0
0 3 2
1 1 0
2 0 3
0 1 3
1 3 3
3 1 3
1 0 0
10 3
0 0 1
2 2 2
2 2 1
0 1 2
2 0 0
1 2 0
0 1 0
2 1 2
0 2 1
0 0 2
10 4
2 0 1
0 0 2
1 1 2
0 1 2
0 1 0
1 2 2
1 0 2
2 2 1
0 2 1
1 2 1
10 6
1 1 1
2 2 0
2 0 0
2 1 0
1 1 0
1 0 2
2 1 2
0 0 1
2 1 1
0 1 1
10 5
1 2 1
1 2 0
1 0 1
2 2 0
2 1 0
1 2 2
1 1 1
0 1 2
0 0 1
2 1 1
10 2
1 0 0
0 2 1
2 2 1
2 1 1
0 2 0
1 0 1
2 2 2
1 2 2
2 0 2
0 1 2
10 6
0 1 3
3 2 0
0 0 3
0 0 1
1 1 3
2 1 1
3 3 0
3 0 0
2 1 0
2 3 3
10 5
2 1 2
1 0 0
1 2 0
0 1 1
2 2 1
1 2 1
2 2 0
1 2 2
1 1 0
0 0 2
10 6
2 2 0
2 0 1
1 1 1
1 2 0
2 0 2
1 0 2
2 1 1
0 0 0
2 2 2
1 0 0
10 3
0 2 3
1 3 2
1 0 0
0 1 1
0 0 1
0 0 3
2 0 3
3 0 2
3 2 3
1 3 1
10 2
3 2 1
3 1 1
1 2 0
0 1 2
1 1 0
3 3 1
1 2 2
2 2 3
1 3 0
0 1 1
10 2
1 3 1
1 0 1
0 2 1
0 0 1
2 2 1
2 1 0
3 1 0
0 2 0
3 2 3
2 3 1
10 6
0 2 0
1 0 0
2 0 1
2 1 1
2 1 2
1 1 0
2 0 2
1 2 0
0 2 2
2 1 0
10 9
1 0 2
0 1 2
0 2 2
1 2 1
1 1 0
2 1 1
1 0 0
1 0 1
2 1 0
1 2 2
10 9
2 0 0
3 0 1
1 0 2
0 2 3
1 3 1
3 1 2
1 1 1
0 3 0
0 2 0
3 1 1
10 3
0 2 3
2 2 1
1 2 0
0 1 2
0 3 3
0 1 1
2 1 3
2 3 2
3 1 0
3 2 2
10 7
0 1 2
0 2 2
2 0 1
2 2 0
2 2 1
2 1 2
2 2 2
0 2 1
1 0 1
2 1 1
10 5
0 0 1
2 1 0
1 0 1
0 2 1
2 2 2
0 0 2
2 1 2
2 0 1
2 0 2
0 1 0
10 3
0 0 0
1 1 1
2 2 1
2 0 2
1 2 0
1 2 2
1 1 2
2 0 0
0 2 2
0 2 0
10 2
1 0 1
0 0 0
1 1 2
2 2 2
2 1 0
1 0 2
1 0 0
2 1 2
2 2 0
2 0 0
10 6
2 2 0
0 1 0
2 1 0
0 2 2
0 1 2
1 1 1
2 0 0
2 2 1
2 0 2
2 2 2
10 3
0 0 2
1 1 1
0 1 1
2 2 0
1 1 0
0 1 0
2 2 2
2 1 1
1 0 1
2 2 1
10 9
0 3 1
1 2 3
3 1 1
3 3 1
2 3 2
0 2 0
1 3 0
1 1 2
2 1 3
0 2 1
10 6
2 2 1
1 2 1
0 2 0
1 0 2
1 1 2
0 1 0
2 1 0
1 1 1
0 2 1
0 0 2
10 5
1 3 3
2 2 3
0 3 2
3 0 2
3 1 1
0 2 2
2 3 1
2 1 1
2 2 1
2 3 3
10 6
0 0 0
1 0 1
0 1 2
1 1 1
0 1 1
2 2 1
0 0 2
2 2 2
0 2 2
1 1 0
10 8
1 1 1
2 2 2
2 1 2
2 0 0
2 2 1
2 1 1
0 2 2
0 0 1
1 1 2
0 2 1
10 9
1 1 1
1 0 2
1 1 2
0 1 0
1 2 2
1 0 1
0 1 2
1 2 0
1 1 0
2 0 2
10 3
2 2 3
0 0 1
3 3 1
2 1 3
2 0 3
2 0 1
0 3 2
0 1 0
3 0 0
1 1 0
10 6
0 0 0
1 1 0
2 2 2
2 1 1
0 2 2
0 0 2
2 0 2
2 1 0
1 0 1
1 2 1
10 8
2 0 2
1 1 0
0 0 1
0 2 1
2 0 0
1 0 1
2 2 1
0 1 1
2 0 1
0 1 0
10 8
2 2 0
0 1 3
0 3 0
1 3 2
1 3 3
1 1 3
1 2 0
2 1 2
2 2 1
0 0 0
10 5
1 3 2
3 3 2
1 0 0
0 1 1
2 3 2
3 2 3
2 2 1
1 2 3
2 3 3
1 3 3
10 7
1 0 0
0 1 0
3 3 0
0 1 1
0 3 1
3 2 3
0 2 3
2 0 3
1 1 3
1 3 3
10 3
2 3 3
2 1 1
0 0 0
3 3 1
0 2 1
3 0 3
2 1 2
1 3 0
2 3 0
2 1 3
10 7
1 1 1
0 3 2
2 1 1
0 3 3
2 2 0
1 0 0
2 3 0
3 2 0
1 2 2
3 0 3
10 3
0 2 3
3 3 0
3 2 0
3 0 0
1 3 2
1 2 3
0 3 2
2 1 1
0 0 0
2 0 1
10 3
2 2 0
0 1 0
0 0 1
2 1 1
2 1 0
1 2 0
0 2 2
1 1 2
0 0 2
1 2 1
10 2
2 3 3
3 0 1
3 2 2
2 2 2
0 1 1
0 1 3
2 3 0
3 0 0
3 1 3
1 0 2
10 4
1 2 1
2 0 0
2 3 2
0 2 2
3 0 2
0 0 2
3 2 0
1 2 3
3 3 1
2 2 1
10 3
0 2 0
0 0 2
1 0 2
2 0 1
0 0 1
0 1 0
1 1 2
2 2 0
2 1 2
0 1 1
10 9
0 2 3
2 3 2
2 3 0
0 3 2
0 1 2
2 2 0
1 2 2
3 3 3
3 0 3
1 2 3
10 8
1 0 1
2 0 2
2 3 3
1 3 2
2 1 3
2 2 1
2 2 0
1 2 1
3 3 3
0 2 2
10 4
2 0 2
0 2 1
2 1 0
2 2 2
1 0 0
1 2 2
2 0 1
0 2 0
2 0 0
1 0 2
10 8
0 2 2
2 2 0
1 2 1
0 2 0
1 0 1
0 0 0
1 0 2
1 1 1
0 1 0
0 0 2
10 4
1 2 0
2 2 0
1 0 0
0 2 1
0 2 2
0 0 1
1 0 2
2 1 0
2 1 1
2 2 2
10 2
0 2 2
2 2 1
2 0 2
0 0 0
0 2 0
0 0 1
2 1 1
0 2 1
2 2 0
0 1 0
10 3
1 1 2
2 3 2
0 1 0
1 0 3
0 0 2
2 2 0
3 0 0
1 3 3
3 2 3
1 2 0
10 9
0 1 1
2 1 0
0 0 2
0 0 0
2 2 0
1 0 0
2 0 0
0 2 1
1 2 0
2 1 1
10 9
1 1 1
2 1 1
1 1 0
1 1 2
1 2 2
1 2 1
0 0 1
2 0 0
0 2 0
2 0 1
10 7
0 1 1
0 0 1
1 0 0
1 2 1
0 1 0
0 2 1
2 0 0
1 2 0
0 2 0
2 2 0
10 5
2 2 2
1 0 2
1 1 0
0 2 0
0 0 0
2 2 1
2 0 2
0 1 2
1 1 1
1 2 0
10 8
2 1 2
3 0 0
3 3 3
1 1 2
0 2 2
2 0 0
1 1 1
0 0 2
1 1 0
2 1 1
10 8
2 1 3
1 1 3
3 3 3
2 1 2
1 1 1
3 3 0
1 2 2
1 2 1
2 0 1
1 0 1
10 6
1 1 0
0 0 1
1 2 2
2 3 3
0 2 1
2 2 2
0 2 2
3 0 3
1 2 1
1 0 0
10 8
1 0 2
3 2 1
1 3 0
3 0 0
0 0 1
3 3 2
1 1 2
3 0 2
0 0 0
0 3 0
10 2
0 0 3
0 2 1
3 1 2
0 1 3
0 3 0
3 3 3
0 0 0
0 1 2
0 3 3
2 1 0
10 9
3 2 3
1 2 2
0 2 0
2 3 1
2 1 0
3 3 2
3 2 0
2 1 1
2 2 2
2 1 2
10 2
1 0 2
2 0 2
1 0 0
2 2 1
1 1 0
0 1 2
2 2 0
0 1 0
2 0 1
2 1 2
10 9
0 3 1
1 3 3
3 3 3
2 3 3
2 1 0
1 2 0
3 3 0
1 2 2
1 0 1
1 0 2
10 4
2 1 2
2 1 1
1 0 1
0 1 0
2 2 0
1 1 0
0 1 2
2 0 0
0 2 0
1 1 2
10 7
3 2 2
0 0 3
3 1 1
1 0 2
3 0 3
2 0 2
0 2 1
0 2 0
1 3 2
0 2 3
10 6
0 1 1
1 0 2
1 2 2
1 1 0
2 1 0
2 2 1
1 1 1
2 0 2
0 1 2
0 0 1
10 9
1 3 3
3 0 1
2 3 0
0 3 3
1 3 2
2 3 1
3 3 2
3 2 1
0 1 1
1 2 1
10 7
0 2 3
3 2 0
2 1 0
0 1 3
3 3 3
1 3 2
1 2 2
2 1 1
2 1 3
1 1 0
10 4
1 2 2
0 0 0
0 0 2
0 2 1
0 1 0
2 1 0
0 1 2
0 2 0
1 1 1
1 2 0
10 5
3 0 3
0 3 3
2 0 3
0 3 2
1 3 2
0 2 3
1 3 1
3 3 2
2 1 1
2 3 1
10 3
1 2 1
0 1 0
0 0 1
0 0 0
0 2 2
2 1 2
1 0 2
1 1 1
1 1 2
2 0 0
10 3
1 1 2
3 2 3
2 0 1
2 1 1
2 0 3
0 3 1
3 3 3
1 2 1
1 3 1
2 2 3
10 4
1 1 0
2 2 1
1 2 1
2 2 2
0 1 0
0 1 2
1 0 0
2 1 1
0 0 1
1 2 0
10 8
1 0 1
3 1 2
1 3 0
3 0 3
0 2 2
2 3 0
3 3 1
0 0 2
0 2 1
3 0 1
10 9
2 1 0
2 0 1
0 2 1
1 2 1
2 0 0
0 1 1
2 1 1
0 0 1
1 2 0
2 2 2
10 6
1 0 0
1 1 1
2 3 1
2 0 1
1 3 0
2 3 3
0 1 0
0 0 1
1 2 3
1 2 0
10 3
0 2 0
1 0 2
0 0 0
0 0 2
0 2 2
0 1 1
2 0 0
1 0 0
1 2 2
1 1 0
10 8
2 2 0
0 1 2
2 1 2
0 2 0
1 0 0
2 0 1
2 0 0
1 0 2
1 1 1
1 0 1
10 3
0 3 0
3 3 0
1 3 2
3 2 0
1 0 0
2 0 2
0 1 3
3 0 2
2 0 1
2 3 3
10 9
1 1 0
1 0 2
1 1 2
0 1 1
2 3 3
0 2 0
0 1 0
0 2 3
3 3 0
1 0 3
10 9
3 3 2
3 2 3
2 2 0
1 3 1
2 0 0
3 2 2
1 0 1
0 3 3
3 0 1
0 2 2
10 9
0 2 1
1 0 2
1 1 2
2 0 1
2 1 0
2 2 1
1 1 1
0 0 1
0 2 2
1 0 0
10 3
1 1 2
0 2 0
1 0 2
1 1 1
1 2 0
2 2 2
2 1 1
0 0 0
1 0 1
0 2 2
10 8
0 2 2
2 3 3
2 0 2
3 3 2
3 0 0
0 0 0
0 2 3
3 1 0
0 3 1
1 2 3
10 4
1 2 2
0 2 0
2 2 1
2 2 2
2 1 0
1 0 1
2 2 0
0 1 1
1 2 0
2 1 2
10 4
3 0 1
2 3 1
1 2 1
1 3 1
0 3 1
0 2 2
3 1 2
1 1 0
0 2 0
2 2 0
10 2
1 3 0
3 3 0
0 3 2
0 1 3
1 2 3
1 2 0
3 1 1
2 1 2
2 0 0
1 1 0
10 3
2 0 0
1 2 1
0 1 0
1 1 0
1 0 0
2 1 1
2 1 0
1 0 1
1 2 2
0 1 1
10 7
0 1 1
0 0 0
1 2 2
1 0 2
0 2 2
1 2 1
0 0 2
2 2 0
0 2 0
2 2 1
10 6
1 2 1
2 1 3
0 0 1
3 1 0
2 2 2
0 0 3
1 2 0
2 0 3
3 1 1
3 2 3
10 7
1 2 2
2 2 1
0 1 0
1 2 1
0 2 1
1 0 2
2 0 0
0 2 0
2 2 2
1 2 0
10 7
0 0 0
1 2 0
0 2 0
1 2 1
1 2 2
2 0 0
0 2 2
0 0 1
1 1 1
1 0 1
10 6
3 1 0
2 2 1
0 1 3
1 2 2
2 3 0
3 1 2
1 0 2
0 1 0
2 2 2
3 0 2
10 4
1 0 2
2 1 1
1 1 0
3 0 0
2 2 2
0 3 1
3 2 2
0 3 3
3 2 1
3 0 3
10 2
2 3 3
3 3 0
1 2 0
2 3 1
3 0 0
0 3 3
1 2 1
2 0 2
3 0 1
2 2 2
10 4
0 3 2
3 0 2
1 0 3
3 1 0
0 3 3
1 3 1
0 1 1
0 0 3
0 2 0
2 3 1
10 9
1 1 1
1 0 1
1 2 1
2 0 2
0 2 1
2 2 1
2 0 1
0 2 2
1 0 2
1 2 2
10 6
3 1 2
3 3 3
1 0 3
2 1 3
1 0 0
2 3 2
0 2 2
1 1 2
2 0 0
0 2 0
10 4
0 2 2
0 1 2
2 1 2
2 2 2
1 2 1
2 1 0
1 2 0
0 1 0
0 0 2
1 1 2
10 9
0 1 2
2 1 2
1 1 2
0 1 1
2 1 1
2 0 0
2 2 1
2 2 0
1 1 0
2 2 2
10 6
1 1 0
0 2 0
2 0 1
2 2 2
2 1 2
0 1 2
0 2 2
2 2 1
1 2 2
1 0 2
10 3
0 0 0
2 0 2
1 2 2
2 0 0
0 0 2
2 1 1
2 2 0
1 1 0
0 2 0
0 1 1
10 2
3 2 0
2 0 0
2 3 1
0 3 2
0 0 1
3 3 3
2 0 1
0 0 2
1 0 1
2 0 2
10 8
1 3 0
0 3 3
0 1 1
1 0 2
0 2 0
1 2 0
0 2 3
1 2 3
1 3 1
0 3 1
10 7
3 3 0
2 1 2
1 2 2
0 2 1
1 2 0
0 2 3
1 3 3
0 3 2
0 2 2
1 1 0
10 8
2 2 0
2 1 0
3 3 0
2 3 0
1 2 2
1 0 0
0 2 1
2 1 3
1 2 3
0 3 0
10 5
0 1 0
2 1 1
1 0 0
1 0 1
2 2 2
2 0 0
0 1 2
1 2 1
1 2 0
0 1 1
10 9
2 1 0
0 2 1
1 1 0
0 2 0
2 2 1
1 2 0
0 1 0
2 1 1
0 0 0
2 0 2
10 3
3 3 1
0 2 2
0 0 1
3 1 0
1 0 2
2 3 2
3 2 2
3 0 0
1 0 0
2 1 0
10 2
1 2 1
2 1 2
2 2 3
2 0 0
2 0 1
3 3 1
1 3 3
1 3 0
1 0 3
2 3 1
10 7
2 1 3
1 1 1
0 0 2
0 3 2
2 3 0
2 0 0
3 1 0
1 3 1
1 1 0
2 1 2
10 2
0 0 2
1 0 2
0 2 0
2 0 1
2 2 0
2 2 2
1 2 1
0 0 0
0 2 1
1 1 2
10 8
0 1 0
0 0 0
2 2 2
2 2 0
0 2 0
1 2 0
1 0 0
1 2 1
2 0 1
0 0 1
10 8
2 3 0
1 0 2
2 0 3
0 2 0
2 2 2
2 3 2
1 3 1
2 2 3
2 0 0
0 3 2
10 2
0 2 0
2 2 1
0 0 1
2 0 0
1 0 1
2 1 2
1 1 2
2 1 1
0 2 2
2 0 1
10 3
1 0 1
0 0 1
1 2 2
2 0 2
2 2 0
1 0 0
0 1 1
0 1 2
1 1 1
2 0 0
10 9
0 1 1
1 2 1
0 0 2
2 2 1
0 0 0
0 2 0
2 0 1
2 1 0
1 1 1
0 1 2
10 6
2 2 1
1 2 2
0 0 1
3 2 2
2 2 3
2 3 1
0 3 0
1 1 3
1 1 0
1 3 0
10 7
2 0 3
3 2 2
2 3 2
2 1 3
0 2 3
3 1 1
1 3 2
3 3 0
0 3 2
3 1 2
10 6
0 0 0
2 1 2
2 0 0
2 2 2
0 2 1
1 1 0
1 0 2
1 0 0
1 0 1
0 2 0
10 2
1 0 2
2 1 2
2 2 0
1 2 2
0 0 0
0 2 2
0 2 1
0 0 2
1 2 1
0 1 1
10 8
2 1 0
3 1 3
3 3 1
2 1 2
0 3 3
3 2 3
3 1 0
3 0 0
1 0 1
2 1 3
10 5
2 2 0
0 1 1
2 0 1
2 1 2
0 2 0
1 2 0
0 1 0
2 2 1
2 1 1
2 2 2
10 2
1 0 2
2 0 0
1 2 2
1 1 0
0 0 0
1 2 0
2 1 0
0 0 1
0 2 2
2 1 2
10 3
3 2 2
0 2 0
2 0 3
1 1 0
2 1 0
2 1 2
0 3 3
2 0 2
3 2 3
2 3 1
10 8
2 1 2
0 2 2
1 1 0
0 0 0
2 2 0
1 1 1
0 1 2
2 0 2
0 1 1
2 0 0
10 3
1 2 1
2 0 2
0 2 2
3 2 2
1 2 3
3 0 2
3 1 2
0 0 2
0 1 3
0 3 3
10 7
2 0 0
2 1 0
2 2 1
0 2 2
0 0 1
0 1 1
2 1 2
0 1 2
0 2 0
0 2 1
10 2
2 0 3
2 0 1
2 3 0
0 1 1
3 2 2
0 3 3
0 3 1
2 1 1
0 0 3
2 1 3
10 5
1 2 1
1 1 2
0 2 0
1 2 2
2 0 2
0 1 0
0 1 1
2 0 1
0 2 1
1 1 1
10 2
0 2 2
1 0 2
0 1 0
0 1 1
2 0 0
0 2 1
1 2 1
0 1 2
1 1 1
0 2 0
10 7
0 2 3
2 0 1
2 2 0
2 0 3
2 1 3
3 3 3
2 0 2
1 1 3
2 1 1
1 3 3
10 8
2 0 0
0 1 0
1 1 2
2 0 2
1 0 0
0 1 2
2 1 0
0 0 1
0 0 0
2 2 1
10 3
0 2 3
1 1 3
0 1 1
1 0 0
0 3 0
2 3 1
2 0 2
0 2 1
1 2 3
2 1 3
10 4
0 0 2
0 0 1
2 1 1
1 2 0
2 2 2
1 2 1
0 1 2
2 0 0
2 2 0
0 1 0
10 5
3 2 0
0 3 0
1 3 0
2 1 0
0 3 1
0 0 1
3 3 1
0 1 2
2 3 1
0 2 3
10 4
1 0 1
0 2 1
1 0 0
1 0 2
0 1 0
2 1 1
1 2 0
0 0 1
2 2 1
0 2 0
10 9
2 2 0
0 0 1
1 1 2
0 2 0
1 2 1
2 1 2
0 1 2
2 2 1
2 0 0
2 0 1
10 8
1 1 1
0 2 2
0 1 0
0 0 0
2 2 0
1 2 2
1 2 0
2 0 2
2 0 1
1 2 1
10 7
0 2 2
1 1 0
0 1 0
2 2 2
1 2 2
1 2 1
1 0 1
0 0 2
2 0 0
0 2 0
10 5
0 1 2
2 1 2
1 0 1
0 2 0
1 2 2
1 1 0
2 2 0
1 1 2
0 1 0
2 0 2
10 4
1 0 2
1 2 2
1 2 1
2 0 2
0 2 0
0 2 2
2 1 1
1 1 0
0 1 0
1 1 2
10 2
0 1 1
2 0 0
1 0 1
1 2 1
1 0 2
0 2 2
0 2 1
1 2 2
2 1 2
2 1 0
10 3
1 0 0
2 2 0
1 1 0
1 1 1
1 2 1
2 1 0
0 0 2
2 0 0
1 0 2
0 0 1
10 2
2 2 3
2 1 1
0 0 3
3 1 2
1 3 1
2 3 1
0 1 2
0 1 0
1 3 0
3 1 1
10 8
1 2 0
0 3 3
2 0 1
3 0 2
1 2 1
2 1 2
1 0 1
2 3 3
3 1 3
0 1 0
10 8
2 0 0
1 2 0
1 2 1
0 0 0
0 1 2
1 0 0
1 1 2
2 1 0
0 0 2
0 2 1
10 2
2 3 1
3 2 1
2 0 2
0 0 2
3 3 1
3 3 0
2 0 0
1 0 0
2 3 3
3 2 2
10 8
0 1 2
2 1 0
1 1 2
0 2 0
2 0 2
2 0 0
0 2 1
2 1 1
1 2 1
0 1 1
10 3
0 1 0
1 0 2
2 0 0
2 0 1
0 1 2
2 2 1
1 2 0
0 0 2
0 0 1
0 0 0
10 4
0 0 2
1 0 1
2 2 2
0 1 0
1 2 1
2 2 0
1 1 1
0 2 1
2 0 0
2 1 1
10 3
0 1 1
1 1 2
2 2 2
0 0 1
1 2 0
0 2 2
2 1 2
2 1 0
1 2 1
1 0 1
10 2
0 1 3
2 2 1
3 3 2
2 1 2
1 2 2
3 1 2
2 0 3
2 0 2
3 1 1
3 3 1
10 9
3 2 1
3 2 0
0 2 3
3 1 0
2 0 2
3 0 0
0 2 1
2 1 2
2 1 1
3 3 3
10 8
0 1 0
2 0 1
2 1 1
0 0 1
0 2 0
2 2 0
2 0 0
2 0 2
1 1 0
1 2 1
10 9
3 1 3
2 1 1
0 1 1
0 2 3
3 3 0
1 3 0
0 0 3
1 0 0
2 1 3
1 2 2
10 8
1 2 0
2 1 0
1 3 2
2 2 1
0 3 2
2 2 0
3 2 2
2 0 1
1 2 1
2 0 0
10 8
1 1 0
0 1 2
0 0 1
2 0 0
2 2 1
1 2 1
2 0 1
2 1 1
0 1 1
0 2 0
10 8
0 1 0
0 0 2
2 1 1
0 0 1
1 0 2
2 1 2
0 2 2
2 2 2
0 1 2
1 0 1
10 5
2 1 0
1 0 1
1 1 2
1 2 1
2 1 1
1 1 1
2 0 0
1 0 0
0 2 1
2 2 2
10 5
2 1 1
0 2 0
0 0 0
2 0 1
2 2 1
1 2 2
2 0 2
0 1 0
2 2 2
0 0 2
10 8
0 2 3
1 3 3
1 1 1
2 0 3
3 1 0
1 0 1
3 3 1
3 0 1
1 0 2
0 2 1
10 3
1 2 2
0 0 0
2 2 2
2 0 0
1 1 2
0 1 2
0 2 2
2 2 1
1 1 1
0 0 1
10 5
1 2 2
2 2 2
1 2 1
2 1 0
1 1 1
0 0 0
2 1 1
0 1 1
2 1 2
0 2 0
10 4
2 2 0
3 1 1
1 0 3
1 1 2
3 3 2
2 3 1
1 0 0
2 0 1
2 0 2
0 1 3
10 3
1 1 2
2 2 1
2 1 2
1 1 1
1 0 2
0 2 2
2 2 2
0 2 1
2 2 0
0 1 1
10 8
0 1 2
2 2 1
0 0 0
2 0 1
3 0 2
2 2 0
1 2 0
3 1 3
0 0 1
0 1 0
10 4
2 1 2
0 0 3
1 0 3
3 3 1
2 0 0
1 2 3
1 1 3
3 1 3
1 2 1
2 2 2
10 4
0 0 0
1 2 1
1 1 1
0 2 2
0 1 1
1 2 2
0 2 0
2 2 1
2 1 1
2 1 2
10 4
2 1 3
2 1 1
1 2 0
2 3 1
0 0 3
1 3 2
3 0 3
3 2 0
0 1 2
2 3 2
10 7
3 3 1
0 2 1
1 0 2
0 0 1
3 2 2
3 2 1
0 2 0
2 0 3
2 2 3
3 1 0
10 9
1 3 3
1 2 3
1 0 3
1 1 0
0 3 0
0 3 3
2 2 1
2 0 2
2 3 2
3 3 2
10 6
2 2 1
2 2 0
0 2 2
0 1 2
2 0 0
0 1 0
2 0 2
0 0 0
1 2 2
0 2 0
10 6
3 3 0
2 1 3
0 0 3
0 0 2
3 0 1
1 3 2
1 0 0
0 2 1
2 0 0
2 0 3
10 7
3 0 2
1 0 0
2 3 2
2 0 2
2 3 1
0 2 3
0 3 2
1 1 0
0 3 1
0 0 1
10 3
0 0 1
1 0 0
2 2 1
0 1 2
2 0 2
1 1 2
1 2 1
2 1 0
2 0 0
1 1 0
10 7
2 3 1
1 3 0
0 3 3
2 0 3
2 1 2
2 2 2
3 1 0
0 1 0
1 0 2
3 2 3
10 4
2 0 2
2 0 1
1 1 2
1 1 1
1 2 0
2 2 2
0 0 0
1 0 0
0 1 1
1 2 1
10 5
0 1 0
2 1 0
0 0 3
1 2 3
2 2 3
1 3 2
3 2 3
3 0 1
2 2 0
0 3 1
10 5
3 2 0
3 1 0
3 3 0
3 0 0
0 0 1
2 0 3
0 0 3
3 1 3
2 0 1
3 1 2
10 7
2 1 2
2 1 1
1 2 1
2 2 1
0 2 2
2 2 0
1 0 1
1 1 2
0 1 2
2 0 1
10 3
0 1 1
3 1 0
0 3 1
1 0 2
1 1 1
0 0 1
0 1 2
1 2 3
2 2 0
2 0 2
10 4
0 2 3
0 0 3
0 3 3
0 2 2
2 1 3
2 0 1
3 3 3
2 3 2
0 0 1
2 1 1
10 2
1 2 2
0 0 2
0 0 0
1 1 1
1 2 0
1 2 1
0 2 1
2 2 2
0 0 1
1 0 0
10 2
0 1 1
2 1 1
1 2 1
1 1 0
1 1 1
2 1 2
0 2 1
1 0 2
0 2 0
0 1 0
10 9
0 2 1
1 2 0
3 0 0
0 0 2
0 1 2
2 2 0
3 1 3
0 3 2
0 0 3
0 2 3
10 8
3 0 0
0 2 3
0 1 3
0 0 0
0 1 0
3 1 1
2 2 2
1 3 1
2 3 3
1 0 1
10 5
2 3 2
3 3 3
0 0 3
0 2 3
2 2 0
0 2 2
2 1 1
0 0 1
3 3 0
1 0 3
10 7
3 1 0
0 2 2
3 1 1
1 1 2
2 3 0
2 1 1
1 3 3
3 3 3
1 1 3
0 0 1
10 4
0 0 0
0 0 2
0 0 1
0 1 2
0 1 1
1 0 1
1 0 2
2 0 0
0 1 0
2 1 0
10 8
2 0 2
2 0 0
1 1 1
2 2 2
0 2 2
0 1 0
1 2 0
1 0 0
0 0 0
1 1 2
10 7
1 0 1
1 1 0
0 1 1
2 2 1
0 0 1
1 1 2
0 2 2
2 2 2
2 0 1
0 0 2
10 7
0 1 1
2 0 1
0 0 0
2 2 1
1 1 2
2 1 1
1 0 1
0 0 1
1 1 0
2 2 0
10 6
1 3 2
3 0 1
0 2 1
0 1 3
0 1 2
3 1 2
0 0 3
2 0 3
1 2 1
0 2 2
10 9
0 2 1
1 2 2
0 0 1
1 2 0
0 2 0
1 1 2
0 1 2
0 1 1
2 1 0
2 0 0
10 6
0 0 2
1 0 1
2 1 0
0 1 1
2 2 0
1 0 2
0 0 0
2 0 0
0 0 1
2 0 1
10 7
1 0 0
0 1 1
0 0 2
1 1 1
1 0 1
0 2 1
2 2 2
0 0 1
0 2 2
2 0 1
10 4
2 0 1
0 1 1
1 0 2
0 1 2
2 2 2
1 2 0
0 0 0
0 2 2
1 2 1
1 1 0
10 7
2 1 1
3 2 2
2 0 2
0 0 0
3 0 3
3 1 1
2 2 2
1 1 2
2 0 1
0 2 0
10 9
2 0 3
0 2 2
3 3 2
3 2 3
1 0 3
2 3 0
3 1 1
2 0 0
2 0 2
3 0 1
10 7
1 2 2
1 0 0
1 2 1
2 2 0
2 0 2
2 1 0
0 1 0
2 1 1
0 2 1
1 1 2
10 6
1 2 0
0 2 0
0 1 1
2 0 2
0 0 1
1 1 0
1 1 1
2 2 0
1 0 1
1 2 1
10 3
2 1 1
0 0 1
1 1 1
1 2 1
2 0 0
0 1 1
0 0 0
0 0 2
2 2 0
0 2 0
10 2
2 2 0
3 3 1
2 1 3
0 3 0
1 0 2
3 1 3
0 3 2
1 3 1
0 0 0
1 3 0
10 8
3 0 2
3 3 3
2 1 3
2 1 0
1 2 0
1 3 1
2 2 2
2 0 1
0 1 1
0 2 0
10 8
1 1 2
2 2 0
0 1 1
1 2 1
0 0 2
1 2 0
2 1 1
0 1 2
1 1 1
2 0 0
10 9
2 0 1
1 2 2
0 1 1
1 0 2
1 1 1
0 1 2
1 1 0
2 2 2
1 0 1
1 2 0
10 8
0 3 2
0 0 0
2 1 1
0 0 1
2 2 0
3 0 2
1 0 3
3 2 2
2 2 1
1 2 2
10 5
1 0 2
0 0 2
2 0 2
1 1 1
2 0 0
2 2 2
0 0 1
0 1 1
2 1 0
1 2 2
10 8
2 1 0
2 3 1
2 3 2
0 1 1
3 2 0
3 2 2
0 0 1
3 0 3
1 2 2
1 1 2
10 8
0 1 1
2 0 2
2 0 0
1 2 1
0 1 2
0 2 0
1 0 1
2 2 1
1 1 1
1 2 2
10 6
2 1 2
2 1 1
0 1 0
0 2 1
1 1 0
1 0 1
0 1 2
0 0 1
2 2 0
1 0 0
10 8
0 1 2
2 2 1
0 3 3
0 0 0
2 3 1
3 0 2
1 1 1
1 3 1
0 1 1
1 1 2
10 6
0 0 3
3 2 0
1 3 1
0 3 0
3 0 1
0 3 1
1 0 1
0 2 3
3 3 3
1 1 0
10 2
1 2 2
1 1 0
1 2 1
2 0 0
2 1 0
2 2 2
1 1 1
1 0 0
2 0 2
0 0 0
10 3
2 3 0
0 1 1
1 2 0
2 3 3
2 2 0
3 1 1
3 0 2
0 1 2
3 1 0
2 0 1
10 4
1 3 1
1 1 0
0 0 3
1 1 1
0 1 2
0 3 1
2 3 3
1 1 3
1 2 2
2 3 0
10 6
1 1 0
0 0 0
1 0 2
0 2 1
1 0 1
1 1 1
2 1 2
2 2 0
2 1 1
0 1 1
10 2
0 0 0
0 3 0
1 3 0
1 2 0
3 2 0
0 1 2
0 0 3
0 0 1
3 0 2
0 1 0
10 5
1 1 1
1 2 0
0 2 2
0 0 1
2 0 0
1 2 2
1 1 0
0 2 1
2 2 2
0 1 2
10 8
1 3 1
0 0 0
2 3 1
3 0 1
2 2 1
2 2 3
1 2 0
3 1 3
3 2 1
0 1 0
10 5
3 2 1
2 3 2
0 3 3
2 3 0
2 0 3
0 1 1
2 2 3
2 2 0
0 1 0
3 1 1
10 3
1 1 2
0 2 0
2 1 0
0 2 2
2 0 2
1 1 0
2 0 1
2 1 1
0 0 0
0 1 2
10 2
1 1 1
0 2 2
1 0 0
2 1 2
2 1 0
0 1 0
0 2 0
0 1 1
1 0 1
1 2 1
10 8
2 2 0
1 2 2
0 1 3
3 1 0
2 0 1
0 3 2
2 0 2
0 2 2
1 2 0
2 0 3
10 2
0 1 2
0 3 0
2 1 3
3 3 0
1 0 0
2 2 2
3 1 2
1 2 0
3 2 0
3 0 2
10 9
0 0 2
0 2 0
0 3 2
0 3 0
2 1 0
1 3 3
2 3 3
2 3 2
2 1 2
3 2 1
10 6
3 0 2
1 2 0
2 3 1
1 1 2
0 3 0
3 3 2
0 3 1
2 2 3
1 2 2
2 3 3
10 4
3 2 2
1 0 1
3 2 0
3 0 0
2 1 2
1 0 0
3 1 3
0 0 0
1 1 1
0 2 3
10 8
2 2 1
2 0 0
0 0 1
2 1 2
1 2 1
0 1 2
0 0 0
0 1 1
0 2 1
2 2 0
10 8
0 1 0
2 3 3
1 2 1
0 0 1
3 1 1
0 2 0
2 0 1
1 3 3
0 3 3
0 3 2
10 2
0 1 0
1 2 1
1 0 1
1 1 0
1 1 2
0 1 2
0 1 1
0 0 2
2 2 2
2 2 1
10 8
2 1 0
0 1 1
2 2 1
2 1 1
0 0 0
1 2 2
0 2 2
2 2 0
0 2 1
1 0 0
10 6
0 1 2
0 2 1
1 2 0
2 1 2
2 1 0
0 0 1
1 1 2
2 1 1
0 2 0
1 2 2
10 4
2 1 2
1 2 0
0 1 0
2 2 0
0 3 2
3 1 0
1 1 1
3 3 3
3 1 3
3 3 1
10 7
3 1 2
1 1 1
3 0 2
1 3 3
0 3 2
2 2 2
1 2 3
3 2 1
3 0 1
0 0 3
10 9
3 1 3
3 3 2
0 3 1
3 0 3
0 2 0
3 0 1
1 1 3
2 2 2
2 2 3
2 0 1
10 8
2 0 1
0 0 2
2 2 3
1 0 0
1 3 2
0 2 3
3 1 2
2 0 3
3 2 1
2 1 1
10 6
3 1 1
0 2 3
1 1 1
3 0 0
3 3 3
0 3 3
0 3 1
3 3 2
0 0 3
0 0 1
10 7
0 2 0
1 1 0
2 1 0
2 0 1
2 1 1
1 2 1
2 0 2
1 1 1
3 2 1
0 3 1
10 5
1 3 1
0 3 2
3 3 2
3 3 1
0 0 2
1 1 2
1 2 1
3 0 3
3 2 3
1 1 3
10 9
1 1 3
0 3 1
3 0 3
1 2 2
2 0 0
3 1 0
2 0 2
1 0 1
2 3 0
2 2 0
10 4
1 2 1
3 3 3
1 0 3
2 1 3
1 2 0
0 1 1
1 2 2
1 0 0
2 1 0
2 1 2
10 8
1 1 0
1 2 0
0 0 2
1 1 1
0 1 1
1 0 0
2 1 0
1 2 2
2 0 0
2 2 0
10 2
0 3 0
0 3 3
0 0 1
3 0 0
2 0 2
0 3 2
2 3 2
0 2 0
2 2 2
3 2 2
10 9
2 1 3
3 1 0
2 0 2
0 1 1
0 3 0
3 1 2
1 3 1
0 3 2
3 3 1
1 1 3
10 9
0 1 2
0 2 2
0 0 0
0 0 2
0 2 1
1 1 0
1 0 2
2 0 2
0 2 0
2 1 2
10 6
2 1 0
2 2 2
2 1 2
1 0 1
0 0 2
0 0 1
0 0 0
0 1 2
2 2 0
2 0 2
10 3
2 1 1
3 1 2
0 1 1
2 2 2
1 2 2
2 0 2
1 3 2
1 3 3
2 2 0
3 3 2
10 8
0 1 0
2 0 3
0 1 2
3 0 2
1 3 0
1 2 0
1 3 3
1 0 2
0 2 0
0 1 1
10 2
1 2 1
3 3 2
2 2 2
0 2 3
0 0 2
0 2 1
2 3 0
3 2 0
0 1 0
2 0 2
10 4
1 0 0
1 0 1
1 2 2
0 0 0
0 1 2
1 0 2
1 1 0
1 2 1
2 0 1
2 2 2
10 9
1 1 1
2 1 1
0 1 0
0 2 1
3 3 3
3 1 2
1 3 2
2 3 2
0 1 1
0 2 3
10 6
2 0 1
2 0 2
1 2 0
0 2 0
1 1 0
1 1 2
2 2 0
1 1 1
2 2 1
0 0 1
10 5
1 1 2
1 0 1
1 2 1
0 0 1
0 0 0
2 1 1
2 0 0
2 1 0
2 0 1
0 1 2
10 4
0 2 0
1 0 2
1 2 0
2 2 0
2 1 2
0 1 1
2 2 2
1 1 0
2 1 1
1 2 2
10 7
3 0 3
3 3 0
3 1 0
2 3 2
2 2 0
2 0 0
1 0 3
0 0 1
3 3 3
0 2 1
10 8
2 0 2
0 0 2
2 3 1
3 0 1
2 3 3
0 1 0
3 3 0
0 2 2
0 2 3
0 3 0
10 9
0 3 1
0 0 1
0 2 3
3 3 1
2 2 0
2 3 0
0 3 3
3 2 3
0 1 3
1 1 0
10 7
1 1 0
0 2 0
1 0 1
2 2 2
2 1 0
0 1 1
1 0 2
2 1 1
0 1 0
1 2 1
10 8
0 2 3
3 1 3
3 2 1
3 3 0
1 0 1
1 3 1
3 1 2
3 2 2
0 0 3
0 1 2
10 4
3 1 3
0 3 2
3 3 0
0 0 3
3 2 3
1 2 2
3 2 2
3 3 1
3 1 2
3 0 1
10 4
2 1 0
2 0 1
2 0 2
2 1 2
0 2 2
1 1 0
1 1 2
0 0 0
2 2 1
0 2 0
10 6
2 0 1
2 2 0
1 2 1
1 2 2
0 0 1
1 2 0
0 1 0
0 0 0
0 2 1
2 2 2
10 2
1 2 2
2 0 1
0 1 2
0 0 0
1 1 2
2 1 1
0 2 1
1 0 1
1 1 1
1 1 0
10 9
0 1 3
1 1 1
1 3 1
3 1 1
3 0 1
0 0 1
0 2 1
3 2 0
2 2 1
1 1 3
10 7
2 1 1
2 0 0
2 0 1
0 1 2
1 2 0
1 0 2
0 1 0
0 1 1
1 2 2
0 2 0
10 7
1 2 2
1 2 1
3 0 2
2 1 2
2 3 1
3 2 1
2 2 1
3 2 3
3 1 3
2 3 2
10 7
0 0 0
1 1 2
1 2 2
1 1 0
2 2 0
2 0 2
1 1 1
2 2 2
0 0 2
2 2 1
10 2
0 1 0
2 0 2
2 2 1
3 2 1
1 1 2
3 2 3
1 0 3
3 0 1
2 0 1
0 1 3
10 2
1 3 0
0 2 1
1 1 2
3 0 0
3 3 3
2 3 0
1 0 1
0 2 3
3 2 2
2 1 3
10 7
2 0 3
2 3 0
3 3 3
1 2 3
2 3 3
1 3 3
2 2 1
3 1 3
3 0 3
2 1 3
10 8
0 0 1
0 2 0
2 1 2
2 1 1
0 2 2
0 0 2
2 2 2
1 2 2
0 1 2
2 1 0
10 3
1 0 1
2 1 0
2 0 1
2 2 1
2 0 0
0 2 1
2 0 2
1 2 0
1 1 2
0 0 1
10 6
0 2 0
1 1 2
1 2 2
0 0 2
0 1 0
0 1 1
2 0 0
0 2 1
1 0 2
1 2 0
10 5
3 2 2
0 3 3
3 0 0
2 1 2
3 3 0
0 0 2
3 0 2
1 3 2
3 3 2
1 0 0
10 3
2 2 1
1 2 3
3 3 3
0 2 1
3 0 1
3 3 0
2 0 1
2 0 2
0 0 1
3 3 2
10 9
0 3 0
0 0 0
2 1 2
2 0 0
1 0 1
1 1 2
0 0 2
3 0 0
2 1 0
2 2 3
10 2
1 2 0
0 0 3
0 3 1
3 2 3
3 1 1
1 1 3
0 3 0
1 2 2
0 0 2
2 1 3
10 3
0 2 0
2 3 0
2 3 3
3 1 0
3 2 2
1 0 1
3 2 0
3 0 3
3 0 1
2 0 3
10 8
1 0 0
1 1 2
1 0 1
0 1 2
0 2 2
1 1 1
2 2 0
1 0 2
2 0 1
1 2 0
10 3
0 2 0
1 3 2
0 3 3
1 2 3
2 1 1
0 0 1
3 1 3
2 1 2
1 0 1
0 0 2
10 8
0 2 3
1 3 2
0 1 3
2 3 1
1 2 2
1 0 2
1 0 1
2 0 2
1 0 3
3 1 1
10 9
2 1 0
2 0 0
2 1 2
1 0 0
1 2 1
0 2 1
0 1 0
1 1 2
0 0 2
0 1 1
10 8
2 0 0
2 1 0
1 1 2
1 0 2
1 1 1
0 2 1
2 2 1
1 2 0
1 2 2
0 0 1
10 9
0 2 0
1 2 0
0 2 2
0 1 0
1 1 0
1 1 1
1 0 0
0 1 1
2 0 1
0 0 2
10 8
2 1 2
2 1 1
0 0 1
0 1 0
1 0 0
0 2 0
1 2 0
1 1 2
0 2 2
2 2 2
10 7
2 1 1
0 1 2
1 1 1
2 0 1
1 0 1
1 1 2
2 0 0
0 2 1
1 2 0
1 2 1
10 5
2 1 2
1 3 2
0 2 0
3 2 1
1 3 1
3 1 2
2 3 2
3 1 0
1 3 0
2 0 2
10 8
2 2 3
1 0 1
2 0 1
3 2 0
2 0 2
0 1 1
3 1 0
0 3 2
1 1 2
3 3 1
10 6
0 2 0
1 0 1
2 1 1
2 0 0
0 1 1
1 2 0
1 2 1
0 0 2
2 1 2
2 2 0
10 2
2 3 3
2 1 1
1 0 3
3 3 0
2 2 2
0 3 0
3 3 2
1 1 3
1 1 0
1 3 1
10 5
1 1 2
2 1 1
2 2 1
2 0 2
0 2 1
1 0 0
1 0 2
1 2 2
2 0 0
0 0 2
10 3
0 2 3
2 2 1
3 2 2
3 3 3
2 2 2
2 0 1
0 1 1
1 0 3
3 0 1
1 0 0
10 9
0 0 3
3 3 2
1 3 2
1 3 1
2 0 3
0 2 2
2 2 1
2 2 2
2 3 0
1 1 1
10 8
2 2 3
2 2 1
3 0 3
0 1 3
3 0 0
0 2 0
2 3 3
1 0 0
2 0 3
0 3 0
10 4
3 3 1
2 3 0
2 3 2
1 1 0
0 2 3
3 2 1
1 3 2
1 2 2
1 1 2
1 3 3
10 5
2 1 1
2 0 0
1 0 1
1 3 1
2 1 2
1 1 0
3 1 2
1 3 2
3 2 2
3 0 1
10 2
2 0 0
2 2 3
3 3 3
0 2 0
0 0 3
2 1 0
1 0 3
0 0 2
0 2 3
2 0 1
10 2
2 3 0
1 2 2
3 2 2
2 1 1
1 0 2
2 1 0
3 2 1
3 3 0
0 1 1
1 2 1
10 2
1 1 2
2 1 1
2 1 0
0 0 2
2 0 0
2 0 1
0 2 1
1 0 0
2 2 1
1 2 1
10 8
1 1 0
0 2 1
1 0 0
0 2 2
1 1 2
2 0 2
1 0 1
0 0 1
2 2 2
2 1 0
10 3
1 0 1
3 2 3
0 1 2
3 3 0
3 0 1
2 3 2
2 2 0
2 3 1
1 1 1
2 0 3
10 6
0 2 0
2 0 2
0 1 2
1 2 1
2 1 1
2 1 0
0 1 1
2 2 1
2 2 0
1 1 2
10 7
0 0 1
2 3 1
3 2 0
3 2 1
0 1 0
1 1 0
1 3 2
2 3 3
2 0 2
0 2 3
10 3
1 3 3
1 3 1
3 2 2
1 2 2
3 1 1
2 2 3
0 0 3
0 3 1
1 3 0
2 3 3
10 5
0 2 2
3 2 2
0 1 2
2 3 2
1 3 3
1 2 2
3 0 0
0 1 0
1 1 3
0 2 1
10 2
0 3 3
2 0 2
0 0 2
3 1 0
0 3 0
3 0 0
1 1 2
0 2 2
1 2 3
1 3 2
10 7
0 3 2
0 1 1
1 3 0
2 3 1
0 3 0
3 1 0
0 3 1
1 0 0
2 2 1
0 2 3
10 5
3 2 0
2 2 1
3 3 3
0 3 3
1 0 3
3 0 1
2 3 1
1 0 1
3 2 1
2 0 2
10 3
2 1 1
0 2 2
1 0 2
1 1 1
1 2 2
1 0 0
2 0 0
1 1 2
0 2 1
2 0 2
10 4
1 1 2
2 1 0
2 2 2
2 2 0
0 2 2
0 0 1
1 1 0
1 2 2
2 0 1
0 1 0
10 7
1 3 0
1 3 2
2 3 1
3 0 0
3 0 1
2 1 0
1 1 1
1 3 1
0 0 2
2 0 2
10 8
3 3 0
3 0 2
1 2 3
0 0 3
0 3 3
0 2 1
0 2 3
3 0 1
2 3 3
1 1 1
10 6
1 2 0
2 0 2
1 0 1
0 0 1
0 2 1
1 1 1
1 2 2
0 2 0
2 2 0
1 0 2
10 3
0 1 3
2 0 2
0 2 3
1 3 3
3 3 1
2 3 3
1 1 0
2 1 3
1 1 3
1 2 1
10 5
0 0 1
1 0 1
2 1 2
0 0 0
1 1 1
2 2 1
0 1 2
0 2 2
2 0 1
2 0 2
10 2
2 2 0
2 1 0
1 1 2
0 0 0
1 2 2
2 2 2
1 0 1
0 1 1
1 2 0
0 1 0
10 5
0 2 0
2 2 2
0 1 0
1 1 2
0 1 2
2 2 1
0 0 1
2 0 2
2 0 0
2 1 1
10 4
0 2 1
0 2 0
3 3 2
1 3 3
1 2 1
3 3 3
3 1 0
3 0 0
3 1 3
1 3 2
10 8
1 3 3
0 0 3
2 2 2
1 3 0
2 1 3
0 3 0
2 0 0
1 0 3
0 0 2
2 0 3
10 7
2 2 0
0 3 3
2 2 2
0 2 0
0 3 2
0 1 2
0 2 1
0 1 0
2 0 2
1 2 0
10 7
1 1 0
3 0 2
0 1 0
1 0 3
0 2 0
1 0 1
0 1 1
3 1 0
2 0 0
0 1 2
10 2
1 2 0
1 2 2
0 1 0
0 0 2
0 0 0
2 2 2
2 2 0
2 0 1
2 0 2
0 1 1
10 4
1 0 0
1 2 0
1 1 3
1 0 3
0 2 0
2 1 3
2 0 2
0 3 1
0 0 2
2 3 3
10 8
1 2 0
2 2 0
1 1 2
2 1 0
0 2 1
1 1 0
1 0 1
2 2 1
0 2 2
0 0 1
10 2
2 0 2
0 1 2
2 1 2
0 0 1
2 2 2
1 1 2
1 0 2
1 2 2
1 0 0
2 1 1
10 4
2 1 1
0 0 2
2 1 2
1 1 0
0 1 0
2 0 2
0 2 2
2 0 0
1 0 1
0 0 1
10 8
2 2 0
1 1 3
0 0 3
3 2 3
2 2 2
0 1 1
1 2 0
2 1 0
0 0 0
1 1 0
10 7
0 1 3
0 2 0
3 2 3
1 2 3
0 3 3
0 3 2
3 3 1
3 0 1
1 0 2
3 2 2
10 7
1 3 3
3 1 0
0 0 3
1 3 0
1 2 3
1 0 0
3 1 3
2 1 3
1 1 3
0 3 0
10 2
1 0 0
0 1 2
2 2 1
2 2 2
2 0 1
1 2 0
2 0 0
2 2 0
2 1 1
0 0 1
10 7
2 1 0
0 2 3
1 1 1
3 1 2
2 1 2
0 0 1
0 1 2
3 0 2
3 1 3
3 1 1
10 7
1 0 1
2 2 1
0 0 0
2 0 1
0 1 0
0 2 2
2 0 0
1 2 2
0 0 1
1 0 0
10 4
2 2 1
1 1 0
1 0 2
0 0 1
0 2 1
1 0 1
1 1 2
2 0 2
0 0 2
0 0 0
10 2
0 1 0
0 2 1
2 2 0
1 1 0
1 2 0
0 2 0
1 2 2
1 0 2
1 2 1
2 0 1
10 4
2 0 0
1 0 0
1 2 1
1 2 2
2 0 2
0 2 2
1 0 1
2 0 1
1 1 0
0 1 2
10 6
2 2 0
2 0 0
0 2 0
2 1 2
2 1 0
1 0 1
2 2 1
1 0 0
1 1 1
0 0 0
10 9
1 0 1
0 3 2
1 2 1
3 3 0
3 1 0
2 0 2
0 2 1
2 3 3
0 0 1
3 0 2
10 4
3 3 2
1 2 3
2 2 0
0 0 2
0 2 2
3 3 0
0 0 1
3 0 1
3 1 0
3 1 1
10 8
1 2 2
1 3 2
3 2 3
0 2 1
2 2 3
1 1 1
0 1 2
1 2 1
0 3 2
1 2 0
10 8
0 1 1
1 2 2
0 0 2
2 1 2
0 2 2
0 2 1
1 0 1
0 1 0
2 2 1
2 0 1
10 9
1 1 1
1 0 1
2 1 1
0 0 1
2 1 0
0 1 0
2 0 0
2 2 0
1 2 1
0 1 2
10 5
1 2 2
2 1 2
2 0 0
0 0 0
0 0 1
0 1 2
1 2 1
1 1 1
2 1 0
2 2 2
10 4
1 1 2
0 3 3
2 2 2
3 3 2
3 1 2
1 2 2
1 2 3
1 0 0
3 3 1
3 0 1
10 8
3 3 2
3 0 0
1 3 0
2 0 0
2 1 2
2 1 3
0 2 0
1 1 3
0 0 0
3 1 3
10 4
2 2 3
0 1 0
2 0 3
3 3 3
0 3 0
1 2 3
1 3 0
2 1 1
3 3 1
3 2 3
10 2
2 2 0
0 1 2
2 0 1
0 2 2
2 2 1
1 1 1
0 2 0
1 1 2
1 1 0
1 0 1
10 2
3 2 3
0 2 3
1 1 0
1 0 1
3 2 0
2 2 0
0 0 2
3 1 0
0 3 2
3 1 2
10 9
2 0 2
0 1 2
2 1 0
1 0 0
2 2 1
1 2 2
0 2 0
0 0 0
1 2 0
2 0 1
10 8
0 2 2
0 2 3
2 2 3
1 1 3
0 2 0
3 2 1
1 3 1
2 2 0
0 3 1
3 1 1
10 2
1 2 1
2 1 1
1 0 0
0 1 1
0 1 2
0 1 0
2 2 2
1 0 1
2 0 1
0 2 1
10 2
3 3 1
2 3 0
2 2 2
3 1 0
1 2 0
2 1 0
2 2 1
3 1 2
2 3 3
0 3 0
10 9
2 0 2
0 1 2
1 1 1
1 1 0
2 1 1
2 2 2
0 0 1
1 0 2
0 2 1
2 1 2
10 4
2 0 2
2 1 1
0 2 0
1 1 0
2 2 1
1 1 2
1 2 1
3 0 3
2 3 3
1 0 3
10 8
2 2 2
2 2 1
1 0 1
1 1 1
0 1 2
2 0 0
2 1 2
2 1 0
2 0 1
0 2 2
10 3
0 0 3
0 1 3
3 0 2
0 3 3
2 3 3
2 2 0
3 0 1
1 2 3
2 2 1
2 3 0
10 6
0 1 3
1 0 0
0 3 0
3 1 1
3 0 1
3 2 0
3 0 2
3 3 2
0 0 0
1 2 2
10 9
1 3 0
0 1 2
2 3 1
1 2 0
1 3 1
3 0 2
2 2 1
3 2 2
3 3 1
0 0 3
10 9
1 1 1
1 0 2
0 0 1
1 2 0
0 1 2
2 1 0
2 0 1
1 2 1
1 0 1
2 2 2
10 4
2 2 2
0 3 1
1 2 0
2 0 3
3 2 1
2 3 3
1 1 1
3 3 0
2 0 1
2 3 1
10 8
0 2 3
0 0 3
3 3 2
1 2 1
2 2 3
3 3 1
2 0 2
1 1 1
2 2 1
3 1 2
10 2
2 1 2
1 1 0
1 0 2
1 1 1
2 2 2
0 1 1
1 1 2
2 1 0
1 2 2
0 2 0
10 7
1 2 0
0 1 0
0 0 0
2 0 0
2 0 1
2 2 2
0 2 2
1 0 2
1 0 0
0 0 1
10 4
3 1 2
0 0 0
3 3 2
2 1 1
3 1 1
1 1 1
2 0 1
1 3 0
1 3 2
3 3 0
10 3
1 1 1
2 0 0
2 0 2
2 1 1
1 0 0
1 2 2
1 0 1
0 0 0
1 2 1
0 1 1
10 4
3 3 0
3 2 3
1 1 3
1 2 1
0 1 1
3 0 3
2 3 3
1 1 2
2 0 0
3 1 3
10 6
1 2 2
1 1 0
1 2 1
2 0 1
2 0 2
1 1 1
1 1 2
0 2 0
0 0 2
2 1 0
10 4
2 3 3
3 0 0
2 2 2
3 2 3
2 2 1
3 3 1
3 2 0
3 2 2
1 3 1
3 0 2
10 5
2 2 3
1 0 2
3 3 0
3 1 0
3 3 2
1 1 0
2 3 1
0 1 1
3 0 0
3 2 1
10 8
1 2 0
0 0 0
2 0 2
1 0 1
0 2 0
0 0 1
0 0 2
0 2 2
0 1 2
1 1 1
10 4
1 1 2
2 1 1
1 1 1
2 0 2
0 1 0
0 2 2
1 0 0
2 2 0
2 1 2
2 2 2
10 8
0 0 3
2 2 3
0 1 0
3 2 3
0 3 0
2 0 1
2 0 2
1 0 2
1 2 3
3 0 1
10 8
1 2 2
1 0 0
2 1 0
1 0 1
0 2 0
0 1 2
1 2 1
0 0 1
2 1 1
0 0 0
10 2
0 1 1
0 0 1
1 2 1
0 0 0
1 0 0
2 2 2
0 2 2
2 0 0
0 2 0
1 1 1
10 4
2 1 2
1 0 1
2 2 2
2 2 0
0 0 0
2 2 1
0 1 2
2 1 1
1 1 1
0 2 0
10 9
1 0 0
2 0 2
0 1 0
0 1 2
0 2 1
1 1 1
2 2 0
2 2 2
0 0 1
0 2 0
10 9
0 1 2
2 0 0
2 0 1
1 0 2
1 1 1
0 1 0
1 0 1
2 2 1
2 1 2
1 2 0
10 4
3 3 2
3 2 2
3 0 1
1 0 0
0 1 3
0 3 2
1 0 1
2 2 0
0 2 0
0 3 0
10 9
1 1 3
2 2 1
3 1 0
3 2 3
1 2 0
2 0 3
0 3 3
3 3 3
3 2 1
0 1 2
10 4
2 0 2
1 0 1
2 0 0
2 1 1
1 2 2
1 2 0
0 0 2
2 1 2
0 2 1
0 0 1
10 4
1 1 2
2 2 0
0 2 2
2 1 0
0 1 2
2 0 2
1 0 2
0 1 0
2 1 2
1 2 1
10 5
0 0 2
1 1 0
1 0 1
0 0 1
1 2 1
2 2 0
0 2 2
0 1 2
1 1 2
2 0 1
10 2
1 2 2
3 1 0
1 3 3
2 2 0
1 0 2
0 0 3
1 3 0
3 1 3
0 2 1
1 0 1
10 6
0 2 2
2 0 2
0 0 2
0 1 0
2 0 1
1 2 1
0 2 0
1 0 0
0 0 0
2 1 0
10 8
0 3 3
1 2 1
3 3 2
2 1 0
2 1 1
2 2 2
1 1 2
1 1 3
0 1 2
3 3 3
10 2
1 0 2
1 0 0
2 2 1
2 0 1
2 2 2
2 0 0
0 2 2
2 1 0
1 2 1
1 1 2
10 5
3 1 1
2 0 0
1 1 2
0 0 3
2 2 1
3 0 2
0 3 1
3 2 0
3 1 2
2 3 3
10 5
1 2 1
1 1 2
0 2 0
2 0 0
1 0 1
1 1 1
0 0 0
0 0 2
0 1 2
0 2 1
10 2
0 1 1
1 1 0
0 2 2
2 1 0
0 0 2
1 1 2
0 2 0
2 0 2
0 1 2
1 0 2
10 6
2 3 0
2 0 2
1 3 3
3 3 3
2 0 0
3 3 0
2 2 0
3 0 1
2 2 1
0 3 0
10 2
0 3 2
0 2 3
0 1 1
2 2 1
0 0 1
2 0 2
1 3 3
1 2 0
0 1 3
0 2 0
10 8
1 0 0
1 3 1
3 0 1
1 3 2
1 1 0
0 1 3
2 2 3
2 1 2
3 3 0
0 1 0
10 6
1 2 2
0 3 3
1 0 2
1 2 3
2 3 0
0 1 0
1 3 3
0 0 2
2 2 2
2 1 3
10 4
0 1 2
1 0 0
0 2 0
0 2 2
2 0 0
2 2 2
1 1 2
2 1 0
0 0 1
1 1 1
10 7
3 3 3
3 2 1
0 1 1
0 0 1
3 1 1
0 1 3
3 1 3
0 0 0
0 2 2
2 0 2
10 7
3 0 0
1 0 1
0 3 3
0 2 1
0 3 1
3 3 1
2 1 1
2 0 3
0 2 3
2 2 1
10 3
2 1 0
0 2 0
0 2 1
1 1 1
2 2 2
1 0 1
0 2 2
0 0 0
1 0 0
2 2 0
10 4
0 0 2
2 0 1
0 1 3
3 3 1
0 2 3
1 3 1
0 1 1
2 0 3
0 0 0
3 0 1
10 3
2 2 0
2 0 1
0 0 1
0 1 0
0 1 2
2 0 2
0 2 0
0 0 2
1 2 2
1 0 2
10 3
2 1 2
0 1 2
2 2 0
1 0 2
1 2 0
1 0 1
0 1 0
0 0 1
2 0 2
2 2 1
10 7
1 1 0
2 2 2
2 0 2
1 0 0
0 1 1
2 2 1
2 1 1
2 1 0
1 1 2
1 0 2
10 4
0 1 0
1 1 2
0 3 2
3 2 1
1 3 1
1 0 3
1 0 0
1 1 0
1 2 1
2 1 2
10 2
2 2 1
0 2 3
2 3 0
3 3 0
2 3 1
1 1 3
1 3 0
2 0 1
1 3 1
0 0 2
10 7
2 1 0
0 2 3
3 2 0
0 0 1
0 3 2
0 3 1
3 1 2
3 2 2
2 2 3
0 0 3
10 9
1 0 1
3 2 0
1 1 2
2 3 1
1 1 0
1 0 0
2 2 3
2 1 3
0 1 2
3 0 1
10 8
2 1 0
2 0 1
2 2 2
3 1 1
3 0 3
1 2 2
3 1 0
1 0 1
1 3 0
1 2 3
10 2
2 2 2
1 1 2
1 1 1
0 1 0
1 2 1
0 1 2
0 2 0
2 0 1
1 0 2
0 0 1
10 2
1 2 1
1 1 1
3 3 3
3 2 0
2 2 1
1 2 3
2 3 2
3 1 3
1 1 3
0 2 2
10 4
1 1 1
0 1 2
1 0 1
1 0 0
0 0 2
1 2 2
2 0 0
1 1 2
0 0 1
0 1 0
10 8
1 3 1
1 1 0
2 2 1
2 3 3
0 1 1
3 0 3
3 0 1
3 1 3
2 1 3
1 0 1
10 8
1 0 0
1 0 3
1 2 2
0 0 2
3 2 2
0 2 2
1 3 2
1 3 1
3 0 3
3 3 1
10 6
0 2 1
2 1 1
2 1 2
2 0 1
1 1 1
0 1 0
2 3 0
3 3 1
3 1 1
1 0 0
10 2
2 2 0
2 2 2
2 3 3
1 3 1
2 0 1
0 2 0
1 3 2
3 0 1
0 1 2
1 0 3
10 8
2 0 2
1 0 2
1 2 1
2 0 0
2 1 1
0 0 2
2 0 1
0 2 0
1 2 0
1 1 2
10 6
2 2 3
2 0 3
2 3 0
3 2 1
2 3 2
0 0 1
0 1 0
1 2 0
3 2 2
0 2 1
10 7
0 1 0
3 3 3
2 2 0
0 1 3
2 1 3
3 3 0
0 3 1
1 1 3
3 2 0
1 2 0
10 9
3 0 3
1 1 3
0 1 2
0 2 1
2 2 1
1 1 0
3 0 0
1 2 3
3 2 2
0 3 1
10 4
0 0 2
2 1 0
2 0 2
2 2 1
0 0 0
0 1 0
0 2 2
0 2 1
0 1 2
1 2 0
10 3
2 1 1
2 3 3
3 2 0
0 3 0
0 1 0
1 2 1
1 0 0
1 1 0
1 0 3
3 1 2
10 2
2 0 1
0 2 2
0 0 1
0 1 0
1 1 2
0 2 0
2 0 0
1 2 0
1 0 2
1 1 1
10 8
3 1 2
0 1 3
1 1 1
1 3 0
3 0 0
1 1 3
2 1 0
2 0 2
3 3 0
1 2 2
10 3
0 1 2
1 0 1
2 1 2
2 0 0
2 2 2
2 0 1
1 2 2
2 2 1
1 2 1
1 0 0
10 8
1 0 1
1 2 0
2 1 2
0 0 1
1 2 1
1 1 1
0 0 0
1 1 0
1 1 2
2 0 0
10 9
2 2 1
0 1 1
1 2 2
1 2 0
0 1 0
1 2 1
2 0 0
0 0 1
0 2 1
0 0 2
10 7
2 2 3
3 2 3
3 2 0
2 3 3
1 2 3
3 3 0
2 2 2
2 0 2
1 0 2
1 3 1
10 6
0 0 0
2 0 1
0 2 2
1 1 2
0 1 1
0 1 2
1 2 0
0 2 1
1 2 2
2 2 2
10 9
2 1 1
1 0 1
2 0 2
0 2 2
0 2 1
1 1 2
1 2 0
1 0 2
1 2 1
0 0 1
10 4
0 1 0
2 1 1
1 2 2
2 0 2
1 1 1
0 2 0
2 1 0
0 0 1
0 1 1
1 0 0
10 8
0 1 0
0 1 1
0 2 0
0 2 1
2 0 0
0 2 2
1 1 1
1 2 0
2 1 1
0 1 2
10 5
1 1 0
2 1 2
2 1 1
1 2 1
2 0 1
0 2 1
2 2 1
1 1 2
1 2 2
2 0 0
10 9
2 0 1
0 2 1
2 0 2
0 1 1
2 2 1
2 0 0
0 0 1
0 0 0
1 1 1
0 1 2
10 4
0 1 2
0 2 2
0 1 1
0 2 1
2 0 0
2 0 1
2 0 2
0 0 1
1 0 2
1 2 1
10 2
2 2 1
0 0 0
3 0 3
3 0 1
3 2 3
0 0 2
2 1 1
1 2 3
3 0 0
0 2 1
10 5
0 1 0
2 2 1
3 1 2
3 3 3
0 1 3
1 1 2
0 1 1
1 2 2
2 3 3
1 3 0
10 9
0 0 2
0 2 3
1 3 1
1 3 3
2 0 2
2 3 1
2 3 0
1 1 1
1 0 2
2 1 1
10 7
2 0 2
0 1 2
1 2 1
0 0 0
1 0 1
2 2 0
2 0 0
2 0 1
1 0 0
2 2 1
10 8
2 0 2
0 0 1
2 2 1
1 0 1
0 2 2
1 1 1
0 2 0
2 0 1
0 1 2
2 1 2
10 4
1 1 2
0 2 0
3 2 1
3 1 0
1 3 2
0 3 3
3 3 1
1 0 1
2 0 0
2 2 1
10 2
1 3 1
3 0 2
2 1 3
1 1 1
2 0 3
3 0 0
2 1 1
3 1 1
0 0 1
2 2 1
10 6
1 0 0
0 1 0
0 2 1
2 1 0
2 0 3
1 3 2
1 1 0
3 1 2
3 1 3
2 3 0
10 8
0 1 1
3 2 1
2 1 1
0 1 3
2 0 2
0 0 2
3 0 2
2 2 1
2 0 1
3 1 2
10 8
2 0 1
1 0 0
1 2 1
1 1 0
0 0 2
1 2 0
0 2 0
2 0 2
0 2 2
2 1 1
10 3
0 3 1
1 3 1
2 2 3
1 1 2
3 3 1
3 2 0
2 2 2
3 2 3
1 3 3
0 0 2
10 8
3 0 3
0 2 0
2 0 3
1 0 2
1 2 0
1 0 0
0 1 2
3 2 1
2 1 3
0 3 0
10 4
1 2 2
2 1 3
2 2 2
0 3 2
0 2 2
3 2 1
3 0 2
0 3 0
0 2 3
0 0 1
10 5
2 0 0
2 1 1
2 0 2
0 2 2
1 1 2
1 2 1
0 2 0
0 0 1
1 0 2
2 1 2
10 7
3 3 1
1 2 3
2 3 1
3 3 0
2 0 1
3 0 2
1 0 0
0 3 3
0 3 2
3 0 3
10 7
2 2 2
2 0 1
1 1 0
0 1 0
0 0 1
1 2 0
1 1 2
0 2 2
0 1 2
1 0 2
10 3
2 2 2
2 1 3
3 2 3
2 0 1
2 1 2
1 1 2
0 2 0
3 3 3
3 0 2
3 0 0
10 5
2 0 0
2 0 2
0 1 2
0 0 2
0 2 2
0 2 0
2 2 2
1 2 1
1 2 0
1 2 2
10 2
0 1 2
2 0 2
0 1 1
2 1 2
1 1 1
1 1 2
1 0 1
1 0 0
1 2 1
0 0 0
10 6
3 3 1
0 0 2
0 2 3
1 0 1
2 1 2
2 0 1
1 3 1
2 0 3
3 0 2
1 0 3
10 9
0 0 0
0 1 0
2 1 0
1 2 0
2 2 0
2 2 1
2 2 2
1 0 1
0 1 2
2 0 2
10 5
1 1 0
1 3 2
2 3 3
2 2 3
1 2 2
0 3 1
0 3 2
2 3 2
3 1 0
0 2 0
10 6
2 0 2
2 0 0
2 3 3
0 0 1
3 0 2
1 1 2
3 2 3
3 3 3
2 1 1
3 0 3
10 8
2 1 2
2 2 2
0 1 0
0 1 1
1 0 2
1 1 0
0 0 0
2 2 0
0 2 0
1 1 2
10 6
0 3 3
2 2 0
1 0 2
3 2 0
3 0 2
1 3 1
1 2 0
2 0 2
0 0 2
3 0 3
10 9
2 1 1
1 0 0
2 0 0
0 0 1
2 2 2
0 1 1
1 1 2
1 1 0
2 0 2
1 1 1
10 8
2 3 2
1 2 2
0 2 1
0 2 3
0 3 3
0 1 2
1 0 0
2 3 0
1 3 3
0 1 0
10 9
1 1 1
2 2 1
0 2 1
2 0 2
2 1 0
1 1 0
0 2 0
1 0 1
0 0 2
0 2 2
10 5
2 0 1
0 1 0
0 1 2
2 1 0
1 1 0
2 2 1
0 2 1
0 0 2
0 0 0
0 2 2
10 5
0 0 2
0 0 0
0 0 1
0 2 2
1 2 0
0 2 1
1 1 2
2 1 2
1 2 2
2 2 2
10 2
1 1 2
0 0 0
1 0 1
2 0 2
0 1 0
2 2 1
0 2 1
0 2 2
1 1 0
0 0 2
10 5
2 2 2
0 2 0
1 0 2
2 2 1
0 0 2
0 1 1
0 2 2
2 2 0
2 1 2
2 0 1
10 7
2 2 3
3 2 3
2 2 0
3 2 0
2 0 2
3 1 1
0 2 1
0 2 3
2 1 1
0 0 2
10 3
1 1 1
2 1 0
2 2 2
1 0 2
1 1 0
0 0 2
1 1 2
0 2 2
0 1 2
0 1 0
10 9
2 1 2
3 1 0
1 1 3
2 1 3
3 1 1
2 0 0
1 0 3
3 0 2
2 2 3
3 3 1
10 6
2 1 2
2 2 2
1 2 1
2 1 1
1 2 2
0 2 1
2 0 2
1 0 1
1 0 0
0 1 2
10 2
0 1 0
0 1 2
2 1 2
2 0 2
0 0 2
0 2 0
1 1 0
0 2 2
2 1 1
1 1 2
10 2
1 1 1
2 2 0
0 2 1
2 2 1
1 0 0
1 1 0
1 0 2
0 1 0
2 0 0
1 2 1
10 7
0 1 2
0 2 2
0 1 0
2 0 1
2 2 0
1 2 1
0 0 0
2 2 2
1 0 0
2 1 2
10 5
0 1 1
2 1 2
3 3 1
1 2 1
0 1 0
0 0 3
3 0 1
2 1 1
3 3 2
3 1 2
10 3
1 1 2
1 1 0
0 1 0
0 1 2
1 0 1
0 2 1
2 0 1
1 2 2
0 2 0
2 1 0
10 5
1 1 0
1 2 0
2 1 0
0 0 2
0 0 0
0 2 0
1 0 2
1 2 1
1 1 1
1 0 0
10 5
0 1 2
0 1 1
2 1 1
0 1 0
0 2 0
2 1 2
2 0 1
1 2 1
1 0 0
2 2 1
10 6
3 3 2
3 3 0
2 3 0
1 3 0
2 2 1
0 3 2
0 2 0
1 0 1
0 3 1
1 0 2
10 9
1 1 3
2 0 2
1 2 3
1 1 0
0 3 3
3 1 2
2 1 1
0 1 0
3 0 3
2 0 3
10 3
0 0 0
2 2 0
1 2 1
1 1 0
2 2 2
1 1 1
0 2 2
1 2 0
2 1 1
0 0 2
10 7
2 1 2
1 2 1
1 0 1
1 3 2
1 1 0
0 1 2
3 1 2
2 2 1
1 0 2
1 1 1
10 9
2 1 2
0 2 0
1 2 0
2 1 1
1 1 2
0 1 2
2 2 0
0 1 1
1 0 2
2 0 0
10 9
1 0 2
1 3 0
0 2 3
1 1 2
3 0 1
3 3 3
0 3 3
0 0 1
1 1 3
0 1 2
10 9
1 2 0
1 1 0
2 0 2
1 0 1
0 2 1
0 1 1
0 1 2
2 0 0
1 2 1
1 1 1
10 3
0 1 0
3 2 2
2 2 2
3 3 3
1 2 3
3 1 2
0 2 3
1 1 1
0 3 2
1 3 3
10 8
0 2 0
2 0 1
0 2 1
0 1 0
1 2 1
1 1 1
0 0 2
2 2 2
0 1 1
2 1 0
10 2
0 1 2
0 1 1
1 0 1
2 0 1
2 1 1
2 2 1
2 0 2
1 2 2
0 0 1
0 0 2
10 2
2 0 1
1 1 0
1 2 3
1 0 3
1 3 2
2 1 3
0 1 1
0 2 1
2 0 0
2 2 1
10 7
0 1 2
0 1 0
2 1 2
2 2 1
2 1 0
0 1 1
0 0 0
2 0 2
1 1 0
1 1 2
10 9
3 0 2
1 1 2
1 2 1
0 1 0
0 3 2
3 3 3
2 1 1
1 0 0
1 3 2
2 2 0
10 6
0 3 2
2 0 3
2 0 1
2 0 2
1 1 2
3 3 2
0 3 1
3 3 0
2 3 1
0 1 3
10 2
2 1 1
1 2 1
0 0 2
2 1 2
1 1 1
2 0 0
0 1 0
1 0 1
0 0 1
0 2 0
10 5
2 1 3
0 2 1
0 3 1
3 2 3
1 3 0
2 0 0
3 2 2
1 0 0
2 3 3
2 2 2
10 8
2 0 0
0 1 1
1 1 2
1 0 1
0 2 0
0 0 1
1 1 0
0 0 0
1 2 0
1 2 1
10 2
2 0 1
3 2 1
0 0 1
3 2 3
0 3 2
1 2 0
2 0 2
2 3 1
0 0 0
0 3 3
10 6
2 2 0
0 0 0
0 2 1
2 1 1
2 0 2
0 2 0
1 2 0
0 0 2
2 2 2
0 1 1
10 9
2 1 0
1 0 2
2 0 1
1 1 2
0 1 1
0 2 2
0 0 2
0 1 0
2 2 0
1 2 0
10 2
0 2 1
2 1 1
1 0 0
2 2 2
1 1 1
2 0 2
1 2 1
1 0 1
1 2 0
0 0 0
10 6
2 2 0
1 2 0
1 0 1
2 1 3
3 0 3
1 0 3
2 3 2
1 3 2
0 1 1
2 1 2
10 4
1 1 2
0 0 0
2 1 2
0 2 2
0 2 1
1 1 1
1 0 1
0 1 0
2 0 2
2 0 0
10 4
0 2 0
0 2 1
0 0 1
0 1 2
0 0 2
1 0 2
2 1 0
1 0 0
2 0 2
1 0 1
10 3
1 2 0
2 2 0
2 2 2
1 2 1
0 2 0
1 1 2
1 0 1
2 2 1
1 1 1
1 1 0
10 4
1 2 2
2 1 2
2 1 1
0 0 2
2 0 2
1 0 0
2 2 1
1 0 1
0 1 1
1 2 1
10 5
3 0 1
2 1 0
2 1 1
0 2 2
3 1 1
3 2 0
2 2 0
1 1 2
1 3 1
1 0 1
10 9
1 0 1
2 2 3
1 0 2
0 0 2
1 2 0
0 3 1
1 3 2
3 1 0
0 1 3
3 3 0
10 7
1 0 1
2 3 1
1 0 0
0 0 0
1 3 0
3 0 0
3 3 1
2 1 3
0 2 1
1 3 3
10 9
2 0 0
3 1 1
3 3 1
3 0 1
0 0 0
2 0 1
3 2 3
0 3 2
0 1 0
2 0 2
10 5
0 2 0
2 2 1
0 1 0
2 1 1
1 2 1
0 1 1
0 1 2
1 0 1
0 2 1
0 0 0
10 7
1 1 1
2 2 1
1 0 2
2 0 2
0 1 2
2 0 0
0 2 2
1 1 0
1 2 0
0 0 0
10 4
2 1 3
0 3 1
2 2 3
0 0 1
3 0 1
2 3 0
1 3 3
0 1 2
2 0 1
3 1 1
10 2
1 1 3
2 1 1
2 1 3
0 2 2
0 1 1
2 0 2
1 0 0
2 0 1
0 3 3
1 1 1
10 4
0 2 2
0 2 0
2 2 2
2 0 1
1 1 1
1 2 2
1 0 1
2 0 2
0 1 1
0 1 2
10 3
0 1 2
3 2 3
3 2 0
2 1 0
0 1 0
1 3 1
2 3 2
1 0 2
2 2 3
2 2 0
10 9
1 0 1
1 3 3
2 2 1
2 1 0
1 2 2
3 1 1
0 2 0
3 2 3
0 0 0
3 2 2
10 8
1 2 0
2 1 1
2 2 1
0 0 2
0 0 0
1 0 0
2 1 2
2 2 2
1 0 1
0 2 2
10 9
2 2 0
0 1 1
1 3 3
3 2 0
2 3 2
3 2 1
2 0 0
2 2 3
2 1 0
0 2 0
10 4
0 0 2
1 1 2
1 2 1
2 2 1
2 0 2
1 1 1
0 1 0
1 2 0
0 2 1
2 2 0
10 5
2 1 2
1 2 2
0 0 3
0 3 0
2 2 0
2 3 3
0 2 0
2 2 1
2 0 3
2 2 2
10 4
2 1 1
1 1 2
0 0 0
2 0 1
0 0 1
1 0 1
2 2 2
1 1 1
1 0 0
1 2 1
10 2
2 0 0
3 2 0
2 1 1
0 0 3
1 0 2
1 3 0
0 3 0
3 1 2
1 1 3
2 2 3
10 4
3 3 2
1 0 2
1 3 0
2 1 2
3 0 1
2 0 1
0 1 0
3 2 3
1 2 0
0 3 0
10 3
0 2 2
2 0 1
0 0 1
0 0 0
2 0 2
1 1 2
2 0 0
2 2 0
0 1 0
0 2 0
10 2
0 0 0
1 0 0
0 0 2
2 1 1
2 2 0
0 2 2
2 0 0
2 2 2
1 2 2
1 0 1
10 5
1 0 0
0 2 0
0 0 0
1 1 0
1 2 1
0 1 1
2 1 2
1 2 0
0 2 1
2 0 0
10 3
0 3 0
2 0 1
2 0 2
0 0 0
3 3 1
1 3 1
0 3 1
1 1 2
0 1 0
0 3 2
10 7
1 3 2
3 3 3
3 0 2
3 1 0
2 1 2
0 2 0
0 2 2
0 1 2
3 0 1
3 1 2
10 4
3 1 3
1 0 2
0 0 1
3 2 3
2 1 2
3 2 2
1 0 1
3 3 0
3 3 2
3 0 2
10 4
0 1 0
1 2 1
0 2 2
1 1 1
1 2 2
2 2 1
2 0 0
0 1 1
0 2 0
2 0 2
10 6
1 2 0
2 0 2
2 1 0
1 1 1
0 2 0
2 2 0
1 2 1
2 1 1
1 2 2
2 0 0
10 3
3 2 1
1 2 1
3 1 3
3 3 3
1 1 0
2 2 2
3 1 1
2 1 0
2 0 3
0 0 2
10 9
1 1 1
0 0 0
2 0 2
2 1 2
1 2 1
2 1 1
1 0 2
2 2 1
1 1 0
1 1 2
10 9
2 2 0
1 2 0
0 2 1
2 1 1
0 1 1
0 2 2
2 2 1
2 0 0
2 0 1
1 0 1
10 3
2 0 2
1 0 2
2 0 1
0 0 0
2 0 0
1 2 2
2 2 1
1 2 1
0 0 1
1 1 0
10 9
2 0 1
2 2 2
2 2 0
2 0 2
0 2 1
0 0 1
0 1 0
2 1 2
0 2 2
1 1 1
10 3
0 1 0
1 1 1
2 2 0
1 2 3
2 0 1
3 2 0
0 2 3
2 0 0
0 1 1
1 3 1
10 7
2 1 2
1 2 2
1 2 1
0 0 0
0 1 2
1 0 2
1 1 1
2 0 0
1 1 2
0 2 0
10 5
3 3 2
2 3 2
2 0 2
3 2 1
0 1 1
3 1 0
2 0 3
0 3 3
0 3 1
3 1 3
10 5
0 0 0
0 1 2
2 2 0
2 1 2
2 2 2
1 1 0
1 2 1
0 2 0
2 1 0
2 0 1
10 2
2 1 2
1 0 2
1 2 1
2 1 1
2 1 0
1 1 2
0 0 0
0 1 1
2 0 0
2 0 2
10 6
1 0 0
2 2 1
0 1 2
1 1 0
0 2 1
0 0 0
0 2 2
2 1 1
1 1 2
2 0 2
10 3
1 0 1
3 1 2
3 1 1
0 3 2
0 3 0
0 1 0
2 3 0
0 1 2
2 1 0
2 0 2
10 7
2 1 1
0 1 0
2 0 2
1 1 1
1 0 2
0 0 0
1 0 1
1 2 0
2 0 1
2 1 0
10 7
1 3 2
0 1 1
2 1 0
1 3 0
0 0 0
1 1 0
3 3 1
1 2 2
3 2 0
0 3 3
10 6
0 0 2
1 2 2
1 2 1
2 0 2
0 2 0
2 0 0
0 1 1
2 0 1
1 0 2
1 0 0
10 7
1 1 1
0 0 1
3 0 2
2 2 1
2 0 3
0 1 2
3 1 1
3 2 0
2 0 2
1 3 0
10 7
2 2 1
2 2 2
0 1 2
2 0 1
0 0 0
1 2 2
0 1 1
1 2 0
1 1 0
0 2 0
10 7
2 1 2
1 1 1
1 2 0
0 0 0
2 1 0
2 2 0
1 2 2
0 2 0
2 0 1
0 1 0
10 4
0 2 1
0 1 0
2 1 2
0 2 0
1 2 1
2 0 1
2 2 0
1 1 1
2 1 0
1 2 0
10 9
1 2 0
2 2 2
1 0 1
1 2 2
2 2 0
0 2 1
1 1 1
0 0 0
2 1 1
0 0 2
10 3
1 0 2
0 1 2
0 1 1
0 0 1
1 1 0
2 1 0
1 0 0
0 1 0
2 1 2
0 2 1
10 7
0 3 3
0 3 2
1 2 2
2 1 1
2 0 0
0 3 1
3 1 0
3 1 1
1 2 1
3 2 0
10 8
2 0 0
1 1 1
0 1 2
0 2 2
2 1 2
1 1 2
1 0 1
1 0 0
0 2 1
2 2 1
10 3
1 3 3
3 0 2
2 0 2
0 3 2
2 2 2
2 1 0
0 1 2
2 3 2
1 1 2
1 2 0
10 3
0 0 0
2 2 1
1 0 2
0 2 2
1 1 1
2 1 2
1 1 0
1 0 0
1 2 2
0 0 1
10 8
1 2 2
2 0 1
0 2 0
2 1 2
1 0 0
1 0 1
1 0 2
2 2 1
0 2 1
2 1 0
10 7
1 2 2
0 2 0
0 1 1
2 0 0
0 0 1
0 1 2
0 1 0
2 0 2
1 0 1
1 0 0
10 6
3 3 3
1 1 1
0 0 1
2 1 0
3 1 2
2 0 2
2 2 3
3 2 2
2 2 1
1 3 3
10 7
3 3 3
0 2 2
3 0 0
1 2 2
2 1 3
0 0 2
0 1 3
0 2 0
1 2 3
1 0 0
10 2
1 1 1
2 1 0
0 1 0
0 1 1
2 0 2
1 2 1
1 0 1
1 1 0
0 0 2
2 0 1
10 9
0 2 3
0 0 2
0 3 2
0 2 2
3 2 0
1 0 2
2 0 2
2 3 2
2 2 1
3 1 2
10 8
2 2 0
0 0 1
0 0 2
1 0 0
0 2 2
1 1 0
2 2 1
1 0 1
1 2 1
2 1 2
10 2
0 0 2
0 1 2
0 2 2
1 1 2
0 1 1
1 2 1
1 1 1
2 0 1
2 0 0
2 1 0
10 5
2 0 1
1 1 2
0 2 3
1 3 2
3 2 3
0 3 2
0 2 2
2 2 1
3 2 2
2 0 0
10 2
0 1 0
0 0 3
1 0 0
2 2 2
1 3 2
1 1 1
3 2 3
3 0 3
2 2 0
3 2 2
10 9
3 0 2
2 1 2
0 0 2
3 3 3
2 0 1
2 0 3
0 0 1
0 3 1
2 3 0
0 3 2
10 4
2 0 2
1 1 2
1 1 1
2 2 2
2 1 2
2 0 1
0 2 2
0 0 0
0 1 0
1 2 1
10 9
2 2 2
1 1 1
3 2 2
1 3 1
3 1 0
2 1 0
1 2 3
1 1 2
3 0 0
3 2 1
10 3
2 2 2
2 1 2
1 0 2
0 0 1
2 1 0
0 1 2
0 2 0
1 1 2
0 2 2
0 0 2
10 8
1 2 1
2 3 3
1 1 2
0 1 2
2 1 2
1 3 3
0 1 0
2 1 3
2 0 3
2 2 2
10 9
2 0 1
2 0 0
2 1 2
2 2 2
1 2 1
0 0 2
2 1 0
0 1 2
1 2 2
2 1 1
10 2
2 0 1
1 1 0
2 0 0
0 1 2
1 2 1
2 0 2
2 2 0
0 2 1
0 1 1
1 2 2
10 8
1 0 1
0 2 1
1 1 3
0 1 1
3 1 2
1 2 3
0 0 3
0 1 3
0 3 2
3 2 0
10 7
2 0 2
2 1 0
1 0 1
1 2 2
1 1 0
1 0 0
0 1 1
1 2 0
0 0 2
2 0 0
10 5
1 0 1
1 1 2
0 2 1
0 1 1
0 2 0
2 2 0
1 2 2
1 0 0
0 0 1
2 1 2
10 4
2 2 2
1 1 2
0 1 2
2 0 1
0 1 1
2 0 0
1 1 1
2 0 2
1 0 1
1 2 0
10 5
0 2 2
1 2 1
0 0 2
2 0 0
0 2 0
0 1 2
1 2 0
2 0 2
0 0 1
0 1 0
10 3
0 0 2
1 0 0
2 2 0
2 2 2
3 3 0
2 1 2
3 1 3
3 0 3
3 2 3
3 3 1
10 4
1 1 1
2 0 2
0 1 0
2 0 0
0 1 2
1 0 1
0 0 1
1 1 2
1 2 0
2 2 0
10 4
0 0 2
2 3 3
0 0 3
0 2 0
0 3 0
3 0 3
2 1 3
1 2 2
0 2 3
1 0 0
10 7
0 0 3
2 3 0
1 3 3
0 3 2
2 2 0
3 3 1
1 3 0
3 2 0
2 1 2
3 0 2
10 8
2 0 2
1 3 1
2 1 1
3 1 3
2 0 3
2 0 1
1 2 1
1 0 0
3 2 1
0 0 3
10 7
2 0 1
3 0 0
1 0 2
3 0 2
3 1 0
2 1 1
1 1 0
2 2 3
3 3 2
1 2 1
10 7
1 0 2
0 0 2
0 1 2
2 2 1
1 2 0
1 0 0
1 1 1
2 0 0
0 2 2
2 1 1
10 9
0 2 2
0 0 0
2 1 1
3 2 0
0 3 3
0 0 2
0 1 2
1 0 1
3 1 3
3 1 0
10 4
1 1 1
0 2 0
2 0 2
2 2 0
1 0 2
0 1 1
1 2 2
2 0 0
2 2 2
0 2 1
10 3
1 3 1
2 1 3
0 3 2
3 2 2
3 2 3
0 3 0
0 2 1
2 1 2
0 0 3
0 0 1
10 3
2 1 1
1 0 0
2 1 0
0 0 0
1 2 2
2 0 0
2 1 2
2 0 2
1 1 1
1 2 1
10 8
3 2 1
2 3 1
0 0 0
3 1 1
3 0 0
0 1 3
1 3 3
0 3 2
3 3 3
3 3 0
10 8
0 0 0
2 0 0
0 1 0
2 0 2
0 0 1
2 0 1
0 0 2
0 1 1
1 2 2
0 2 1
10 2
1 0 0
1 0 1
2 1 0
0 1 2
2 1 2
1 0 2
1 1 0
0 1 1
1 2 1
1 2 0
10 7
3 0 0
3 1 2
1 0 1
3 2 0
0 3 0
1 2 0
0 3 2
1 1 0
0 2 3
2 0 2
10 8
3 3 2
3 3 1
2 3 1
2 2 0
1 2 0
0 1 0
0 0 0
0 2 0
1 0 1
3 0 1
10 9
3 3 3
2 3 2
1 1 0
3 3 1
3 1 2
1 3 0
3 0 0
1 0 2
2 0 1
2 2 3
10 9
2 1 0
1 2 0
1 2 3
3 0 2
1 2 2
3 1 1
3 2 0
0 3 2
1 3 0
1 3 2
10 2
2 2 1
1 0 2
0 0 2
2 0 0
0 0 3
0 3 1
2 1 2
1 2 2
3 3 0
1 2 1
10 3
3 2 3
0 0 3
3 1 3
2 0 1
0 3 2
0 3 0
3 1 0
3 0 0
1 0 2
3 0 3
10 3
2 0 1
0 2 0
0 2 1
1 1 1
1 0 3
0 0 3
0 3 2
2 1 1
2 1 2
0 3 3
10 6
2 3 2
2 3 1
1 0 0
2 1 1
2 1 3
0 2 2
3 1 2
2 2 2
1 2 3
1 3 1
10 2
2 1 2
0 2 1
0 2 2
0 2 0
1 0 0
1 2 2
2 1 1
2 2 0
2 0 1
2 1 0
10 5
0 0 0
2 1 0
2 0 2
1 2 1
2 0 1
0 0 1
2 2 1
1 0 2
1 2 2
0 2 2
10 5
1 1 2
2 1 0
1 2 0
1 0 2
1 0 1
2 2 2
0 2 0
2 1 1
0 1 1
0 1 2
10 8
0 1 2
1 2 2
0 0 0
2 1 2
2 2 2
0 1 1
0 2 2
1 2 0
2 1 0
1 2 1
10 3
1 0 0
0 1 2
3 1 3
3 2 3
1 2 3
3 3 3
2 1 0
3 1 2
3 2 2
2 3 1
10 3
1 1 1
3 1 0
2 0 3
0 2 3
1 0 2
1 3 1
1 0 1
1 2 2
3 0 0
1 1 2
10 3
2 1 3
1 0 1
1 3 1
1 1 3
1 2 1
2 1 2
0 2 0
3 3 0
3 2 3
3 1 1
10 4
1 2 1
2 2 1
3 2 3
1 0 2
3 0 2
0 3 1
3 0 3
1 0 0
1 3 0
0 1 2
10 6
2 1 2
2 1 1
0 1 2
0 0 0
2 0 1
1 2 1
0 1 1
0 0 2
1 0 1
2 2 2
10 4
0 0 2
0 2 0
1 2 0
1 1 0
0 1 0
0 1 1
0 0 0
0 0 1
2 1 0
2 0 1
10 3
3 3 0
0 1 1
1 3 3
1 2 0
0 2 2
3 2 1
2 1 1
3 2 0
1 2 2
2 2 2
10 8
0 0 2
2 0 1
1 0 1
1 1 1
2 1 2
1 0 0
2 0 2
1 2 2
2 2 0
0 1 2
10 7
1 2 0
3 0 1
2 2 2
2 0 3
2 1 1
3 0 2
0 2 3
2 3 1
1 2 3
1 1 2
10 2
1 1 0
1 0 2
2 0 0
0 2 2
2 0 1
0 2 0
1 2 2
0 1 2
2 2 1
2 1 1
10 2
2 2 0
1 1 1
3 1 1
1 3 0
3 0 0
1 2 0
2 3 1
2 2 3
2 3 2
3 3 1
10 9
2 2 2
2 0 1
2 1 1
1 0 0
0 1 1
0 2 1
0 0 1
1 2 2
2 2 1
0 1 2
10 5
1 0 2
1 0 1
2 1 2
0 0 0
1 1 1
1 1 0
1 2 1
1 1 2
2 2 0
2 0 1
10 5
1 1 1
1 0 1
2 2 0
2 0 2
1 1 0
0 1 2
2 0 1
0 2 1
0 0 2
0 2 0
10 7
2 2 1
1 2 1
0 0 2
1 0 2
2 1 2
0 0 0
2 0 0
1 2 2
0 1 1
1 2 0
10 6
0 1 0
2 3 3
1 1 3
2 3 2
3 1 0
1 1 2
3 3 1
2 1 0
1 2 3
2 2 1
10 6
0 2 2
2 1 0
0 2 3
1 0 1
0 1 2
3 0 2
3 2 3
2 3 0
0 2 1
1 1 3
10 3
0 3 2
1 0 3
0 0 0
1 0 1
2 2 2
0 0 1
1 1 0
0 2 1
2 1 0
2 0 3
10 6
3 3 2
2 3 0
2 0 3
2 3 1
1 0 1
3 1 2
3 1 1
0 1 1
3 1 0
2 0 2
10 3
0 1 2
1 3 1
0 1 3
2 1 0
2 0 3
2 1 3
3 1 0
0 2 3
0 3 2
2 2 1
10 3
2 2 0
2 2 2
1 0 2
0 0 2
1 2 0
0 1 2
1 1 1
2 1 0
0 1 1
0 1 0
10 6
1 0 2
1 2 0
0 1 0
2 1 1
2 0 1
2 1 0
1 2 2
2 1 2
1 2 1
0 2 0
10 9
2 3 0
1 3 3
3 2 0
0 0 3
3 0 1
1 2 1
1 0 0
0 0 0
0 3 0
3 2 2
10 3
2 1 0
1 1 1
1 1 2
1 0 0
1 2 0
2 2 0
1 0 2
2 1 2
2 0 1
0 0 1
10 9
1 0 2
0 0 3
3 2 2
1 2 2
1 1 1
1 0 1
0 2 3
2 3 2
0 1 2
2 3 0
10 5
2 1 2
0 1 1
0 3 2
1 1 3
0 1 2
1 3 0
0 2 0
0 0 0
2 0 2
3 0 3
10 6
0 0 2
1 3 1
1 0 2
3 0 2
2 0 1
0 3 2
1 0 3
0 0 0
2 2 1
1 2 2
10 9
1 2 0
2 2 2
2 2 3
0 0 3
2 1 2
3 3 2
1 0 2
1 0 3
0 1 3
2 3 3
10 3
1 1 0
0 1 1
2 1 1
0 0 0
2 1 2
0 1 0
1 1 1
2 0 1
2 2 2
1 0 2
10 4
3 2 3
2 2 1
2 0 1
0 2 0
0 3 3
3 0 0
3 1 1
1 3 2
0 1 0
3 1 3
10 5
3 3 3
2 3 1
3 2 1
1 0 0
2 3 3
0 3 2
2 1 0
2 0 1
1 3 3
3 3 1
10 4
3 0 2
3 0 0
1 2 2
0 0 1
3 2 2
2 1 0
0 1 2
1 3 1
0 0 3
2 1 3
10 5
2 3 0
0 0 0
3 3 3
3 2 0
0 2 0
3 3 1
0 0 3
3 1 3
2 1 2
3 0 0
10 7
0 1 0
0 2 2
1 2 0
1 0 1
2 0 2
0 1 2
1 0 0
0 0 0
0 0 2
1 1 0
10 8
1 2 1
2 1 1
1 2 0
1 1 2
1 0 2
0 2 2
2 0 0
2 0 2
0 0 0
2 2 1
10 2
1 0 1
2 0 2
0 1 0
2 1 2
2 2 0
1 2 2
0 2 1
0 0 0
2 1 1
1 2 0
10 2
1 3 3
2 0 3
0 2 1
0 0 1
0 0 2
1 1 2
2 1 0
3 0 2
3 3 1
1 2 2
10 2
2 2 0
3 2 0
3 1 3
3 3 1
3 0 3
1 3 2
2 0 1
2 0 3
1 3 0
2 0 0
10 6
2 1 0
0 2 1
2 1 2
2 0 1
1 1 2
1 2 2
0 2 0
0 0 1
1 1 1
0 1 0
10 8
0 0 2
2 1 0
1 2 0
0 1 1
1 1 0
2 1 1
1 1 2
1 2 2
1 2 1
2 0 2
10 4
1 0 0
0 1 1
1 1 1
1 2 0
2 2 2
0 1 2
1 2 1
0 0 0
1 1 0
2 2 0
10 3
1 0 1
1 0 0
2 0 1
0 0 1
1 2 0
2 0 0
2 0 2
1 1 2
1 0 2
2 1 0
10 5
1 0 1
2 0 2
0 1 0
0 1 1
0 2 1
2 2 2
2 1 1
1 2 2
1 2 1
2 1 0
10 3
0 1 2
0 1 1
0 0 2
3 0 1
1 2 1
1 2 2
3 2 3
0 1 0
2 2 0
0 2 0
10 5
0 0 1
2 0 0
0 0 0
0 2 1
0 1 0
2 2 0
1 2 1
0 2 2
1 2 0
0 1 1
10 8
0 0 1
2 0 0
2 1 2
1 0 1
2 2 1
0 1 0
2 1 1
2 2 2
2 2 0
1 0 2
10 2
2 2 2
0 1 2
0 0 1
2 0 0
2 2 0
2 0 1
1 0 2
2 1 1
0 2 1
2 1 2
10 9
2 2 1
0 3 2
1 3 0
3 2 3
3 1 2
0 1 3
2 2 2
0 1 1
1 3 2
2 1 3
10 7
2 0 2
0 2 2
2 2 1
0 0 1
0 0 2
1 0 1
1 0 0
1 2 2
1 2 0
2 1 1
10 4
1 2 2
1 1 0
1 1 2
2 0 0
1 0 2
2 0 1
2 2 1
0 1 1
1 2 0
2 1 2
10 5
2 3 1
2 2 2
2 2 0
3 1 3
1 1 2
1 3 1
1 1 1
0 1 1
2 0 2
2 1 0
10 2
2 1 0
1 0 0
1 0 1
0 0 2
2 0 2
2 0 1
1 1 2
2 2 1
1 2 2
1 2 0
10 4
2 0 1
0 2 1
0 1 2
1 0 1
0 0 0
2 1 1
1 0 0
2 2 2
1 2 0
2 0 2
10 2
2 2 3
0 3 0
2 2 1
2 0 2
1 3 0
3 3 1
1 3 1
0 2 1
2 3 1
3 0 3
10 4
3 1 0
3 3 0
0 2 2
0 0 1
0 0 0
1 1 1
0 3 0
3 2 1
1 3 2
1 3 1
10 7
1 0 0
1 2 2
3 3 1
1 1 2
2 3 0
0 2 2
2 0 2
1 2 1
0 0 3
2 2 3
10 2
0 1 3
0 0 1
0 3 1
3 1 3
1 3 1
1 2 3
2 3 0
3 1 0
0 0 0
2 3 1
10 5
1 2 1
2 2 1
0 2 1
1 2 2
1 1 2
2 0 2
1 2 0
0 1 2
2 0 0
1 0 2
10 5
2 2 2
1 1 1
1 1 0
0 0 2
2 2 0
1 0 2
2 1 2
0 2 2
1 1 2
0 0 0
10 2
0 2 3
0 0 3
0 2 1
1 1 2
3 2 1
0 2 0
0 3 1
2 2 2
2 2 3
2 3 2
10 5
1 2 0
0 0 1
1 3 2
0 1 3
3 2 3
1 3 1
2 1 0
3 0 3
1 1 2
0 0 2
10 5
3 1 0
0 3 3
0 3 0
3 2 0
0 2 0
2 3 1
2 0 3
3 0 3
2 3 3
3 3 1
10 7
1 1 0
3 3 0
0 0 0
2 2 2
1 2 1
1 2 2
0 3 2
3 0 2
0 0 2
3 0 0
10 9
3 0 0
2 0 2
1 3 2
0 2 1
2 0 3
1 0 1
2 2 3
0 0 0
0 2 0
1 1 1
10 8
0 0 0
2 1 1
1 2 0
1 1 0
2 0 0
1 0 2
2 0 1
2 2 0
0 1 2
1 1 1
10 4
1 0 2
2 0 2
0 2 2
1 1 1
0 0 1
1 1 0
1 2 0
2 2 0
2 1 0
2 1 2
10 7
3 2 0
0 1 3
3 2 1
2 0 2
2 2 3
2 1 3
1 0 2
2 1 2
0 1 2
1 0 3
10 4
2 1 2
0 0 1
2 2 1
2 2 0
2 0 0
0 2 1
2 1 0
1 1 2
1 2 0
0 0 2
10 5
0 0 1
2 3 1
3 2 1
2 3 0
1 3 1
1 1 2
1 2 0
3 3 3
0 1 2
0 0 0
10 8
1 2 3
1 1 1
1 1 2
1 0 1
2 3 1
1 3 3
3 0 2
3 1 3
0 2 3
0 2 2
10 5
1 0 2
2 0 0
0 0 0
1 1 0
0 2 1
2 0 2
2 1 1
0 2 0
0 0 1
2 2 0
10 6
1 0 1
1 1 2
1 2 2
0 1 2
2 2 1
2 0 0
0 2 0
0 0 0
1 2 0
1 0 2
10 4
0 3 3
1 2 3
0 1 2
2 0 1
3 0 0
3 0 3
2 1 0
1 2 0
3 1 1
3 1 0
10 6
0 1 0
2 2 0
0 2 2
2 0 2
0 2 0
2 2 1
2 1 1
1 2 0
2 1 2
1 1 2
10 7
2 0 0
2 0 1
1 0 1
0 1 1
1 0 2
0 2 1
1 2 2
1 0 0
2 1 0
2 1 1
10 9
1 0 3
1 2 3
2 3 3
1 1 3
3 3 1
1 0 2
0 0 0
2 1 2
2 1 0
3 1 1
10 3
2 2 1
0 1 0
0 0 2
1 2 2
2 0 0
1 2 0
2 0 1
0 1 2
2 1 2
0 0 0
10 3
1 3 1
3 0 2
2 2 1
2 0 2
2 3 1
1 1 0
2 2 0
2 0 1
3 0 1
3 2 0
10 4
1 0 1
0 1 2
2 2 2
2 1 0
0 0 1
2 2 0
2 0 2
1 0 2
0 1 0
1 0 0
10 6
0 0 0
0 0 1
1 1 0
0 2 1
1 1 1
2 2 0
0 0 2
1 2 2
0 1 1
1 1 2
10 6
2 2 0
2 1 2
2 0 2
0 0 1
1 1 0
1 2 0
2 0 0
1 0 2
0 0 2
2 0 1
10 2
3 3 1
1 1 0
3 0 3
3 1 3
3 2 3
0 3 2
3 1 2
0 0 1
2 1 0
1 2 2
10 6
2 0 0
1 2 0
2 0 2
2 1 2
1 1 2
2 2 0
0 1 2
0 2 0
0 0 1
2 0 1
10 6
0 2 1
0 1 2
1 0 0
1 1 0
1 1 1
1 2 2
1 2 1
2 2 0
2 1 1
2 1 0
10 9
1 1 2
0 2 0
0 2 2
1 0 1
2 1 2
1 2 0
1 0 2
2 1 0
0 0 0
1 1 0
10 4
2 2 1
1 1 2
1 0 3
2 2 3
1 2 0
3 0 2
0 0 3
1 0 1
2 2 0
2 3 3
10 5
1 0 3
2 1 3
1 2 0
1 1 2
3 2 2
0 1 3
3 1 1
2 2 3
0 1 2
1 0 2
10 8
2 2 0
0 2 3
1 3 0
2 1 2
0 3 1
0 0 3
3 3 1
1 0 0
2 1 3
2 2 1
10 6
0 2 0
0 2 3
0 2 2
1 0 2
0 0 3
1 1 3
0 2 1
2 1 3
3 1 3
0 3 2
10 4
0 1 1
0 2 1
0 0 1
1 0 1
0 0 2
2 0 2
1 1 2
0 0 0
2 1 0
1 0 2
10 6
0 0 2
1 0 1
2 1 2
2 0 2
0 2 1
0 2 0
0 0 1
1 0 2
2 2 0
2 0 1
10 4
2 0 2
2 1 1
1 1 1
2 2 0
1 1 0
0 2 0
2 2 1
0 1 0
0 0 0
1 1 2
10 9
0 1 1
2 1 1
1 1 1
1 0 0
0 2 1
1 1 2
0 1 2
1 0 2
1 0 1
1 2 1
10 4
3 3 2
2 3 0
2 3 1
3 1 2
0 1 2
0 3 1
2 1 1
3 1 1
2 1 0
0 2 2
10 9
3 3 2
2 2 3
2 1 3
0 2 3
2 0 2
1 0 3
2 2 0
2 1 2
1 3 3
1 2 0
10 8
3 0 2
3 1 0
1 2 1
0 1 1
1 2 2
2 3 0
2 2 2
2 2 0
3 2 1
1 0 2
10 9
2 1 2
2 0 1
1 1 0
2 2 2
1 0 2
1 2 2
1 2 1
2 1 0
0 2 0
2 2 1
10 7
0 2 1
2 0 1
2 2 2
1 2 1
1 1 2
2 0 0
2 1 1
1 0 1
2 0 2
1 1 1
10 7
0 0 0
1 0 1
0 1 2
0 2 1
0 1 0
0 2 2
2 0 0
2 2 2
2 0 2
1 0 2
10 8
3 2 1
2 1 2
3 3 2
0 1 0
2 3 1
3 2 0
2 3 0
0 0 0
3 0 2
1 3 3
10 8
0 3 3
0 2 2
2 0 1
0 1 2
1 3 0
3 0 0
1 2 2
3 0 2
0 2 1
3 3 3
10 9
2 3 3
3 3 0
0 3 3
2 0 1
0 2 0
0 2 2
3 0 2
1 2 3
2 0 2
0 0 0
10 6
1 1 1
1 2 1
2 0 1
2 1 0
2 1 2
1 0 2
0 1 1
1 0 0
2 2 2
0 0 0
10 9
2 0 2
0 2 0
1 0 1
2 0 1
0 2 1
0 1 1
0 1 2
1 1 2
1 1 0
2 2 1
10 8
3 1 2
1 0 3
0 0 1
1 0 0
3 0 2
2 1 2
0 0 0
0 3 1
2 2 2
1 1 0
10 5
0 2 2
2 2 2
1 2 2
0 0 0
0 0 2
1 2 1
2 2 1
2 2 0
1 0 0
2 0 2
10 3
0 1 1
1 2 1
2 1 2
2 0 2
1 2 2
0 1 0
1 0 0
2 0 1
1 1 1
0 1 2
10 3
2 0 0
1 2 0
2 2 0
1 2 1
1 0 1
0 2 2
1 2 2
2 0 2
0 0 2
1 1 1
10 9
1 0 2
3 0 0
1 3 0
2 0 2
2 2 3
0 1 2
0 1 0
0 3 0
3 2 3
1 2 1
10 9
0 0 1
1 2 0
0 1 0
1 0 0
0 0 0
2 1 2
1 1 1
0 0 2
2 2 1
2 2 2
10 5
0 0 2
2 1 2
1 2 2
0 1 1
1 2 0
2 1 1
2 0 1
1 1 1
0 2 2
1 0 2
10 7
3 0 0
1 0 1
2 0 3
2 0 1
2 1 2
3 0 3
3 2 0
1 2 2
0 1 3
0 1 1
10 7
1 1 2
2 2 1
2 2 0
0 2 1
2 2 2
1 0 1
2 1 1
0 1 0
0 0 1
0 0 2
10 4
0 3 3
1 3 3
1 2 0
0 0 2
1 3 0
1 0 1
2 3 1
1 3 2
3 3 3
2 2 0
10 5
1 1 0
0 1 1
2 2 0
0 2 2
2 1 0
2 0 1
2 2 2
0 1 2
1 2 1
0 2 0
10 6
3 3 1
2 0 3
2 3 0
3 3 3
2 3 3
0 1 0
2 0 1
1 0 1
1 1 3
1 3 2
10 2
2 2 2
0 0 1
0 2 0
2 2 1
1 1 2
1 1 0
2 1 1
0 2 2
2 0 0
0 1 2
10 5
1 1 1
2 1 1
0 0 2
2 2 0
2 0 1
0 1 1
1 1 2
1 0 0
2 2 2
0 2 1
10 4
3 1 3
0 0 0
3 1 2
1 2 3
0 0 2
1 1 1
0 3 3
3 1 1
1 0 2
3 0 0
10 2
2 3 2
1 0 1
0 2 3
2 3 1
0 2 0
1 1 1
3 3 3
0 0 1
3 2 1
0 1 0
10 7
2 2 1
1 1 2
1 0 1
1 0 0
1 2 1
0 1 2
2 0 2
2 2 0
1 2 0
1 2 2
10 6
0 2 0
3 0 3
2 0 0
1 3 0
1 2 0
3 1 0
2 0 3
2 2 0
1 0 1
0 1 1
10 2
3 3 1
0 3 0
2 2 3
3 0 3
1 0 0
2 1 2
1 2 3
2 3 2
1 1 2
0 3 2
10 7
0 2 2
0 0 2
1 1 2
0 1 1
1 0 1
1 0 2
2 0 2
2 2 1
1 1 1
0 0 0
10 4
1 1 1
1 2 3
3 0 0
3 0 3
0 2 3
0 3 3
3 2 3
2 1 3
2 2 0
3 3 1
10 9
2 2 0
3 2 1
1 0 1
1 0 2
3 1 1
3 1 3
3 3 2
0 0 0
0 2 1
2 1 2
10 5
2 0 0
0 3 2
1 1 2
1 2 2
1 1 3
1 0 0
3 2 1
0 3 1
3 0 1
1 3 2
10 5
2 2 0
1 1 0
2 2 1
2 0 2
0 1 1
0 2 1
0 0 2
1 0 1
1 2 1
2 2 2
10 4
2 0 1
1 2 1
1 0 1
0 3 2
0 2 2
3 0 1
1 1 3
3 0 2
1 3 1
3 3 0
10 6
0 1 3
3 2 1
1 2 0
0 3 2
3 2 2
2 1 1
1 3 1
3 0 1
2 2 2
0 0 0
10 3
2 2 2
0 0 0
2 2 0
0 2 1
2 0 0
1 0 1
0 1 1
0 1 2
1 2 0
0 0 2
10 9
1 1 1
2 1 1
3 2 2
0 1 1
2 3 2
2 1 3
1 1 0
1 3 1
1 2 1
2 0 0
10 6
2 3 0
3 0 2
1 3 0
0 1 3
3 1 2
2 1 0
1 1 1
1 3 1
0 1 0
2 2 1
10 7
1 1 0
0 1 2
3 2 0
3 2 2
1 0 0
1 3 2
1 3 0
3 0 2
2 3 0
3 0 0
10 6
0 1 2
2 0 1
0 1 1
0 0 1
1 1 1
1 1 0
2 2 0
1 0 2
1 0 0
0 2 0
10 2
1 1 3
2 2 0
3 2 2
0 1 2
0 1 0
2 3 2
1 1 0
3 0 0
2 2 1
0 0 0
10 4
3 0 1
3 1 2
0 3 2
2 0 1
2 2 0
2 3 3
1 1 3
1 3 0
3 2 0
2 0 2
10 5
2 1 2
1 2 1
3 0 2
1 3 1
3 3 0
3 3 2
1 3 3
2 0 1
0 0 1
3 0 1
10 6
0 3 1
1 3 3
3 2 0
0 2 1
3 1 0
2 2 0
2 2 3
1 1 0
0 0 3
1 1 2
10 9
0 2 0
3 0 0
1 0 3
2 1 1
2 2 3
3 0 3
3 0 1
1 3 2
0 0 3
2 1 2
10 4
2 0 1
0 2 2
2 1 1
0 0 2
0 1 1
2 1 0
0 2 0
0 1 2
2 2 0
0 2 1
10 4
1 1 2
2 0 2
0 0 2
1 0 1
2 1 0
2 2 0
0 2 0
0 1 0
2 0 0
1 0 2
10 3
1 1 0
0 1 1
1 1 2
2 2 2
2 1 2
1 0 2
1 1 1
1 0 1
0 0 0
0 0 2
10 7
0 0 1
0 2 3
2 0 2
1 3 2
2 3 1
3 2 3
1 2 3
2 3 2
1 0 0
3 1 2
10 6
1 3 1
2 3 3
2 1 1
2 0 1
0 2 0
1 0 2
2 1 3
0 0 1
1 3 0
2 3 0
10 3
1 0 0
0 1 1
0 0 0
2 1 1
2 1 0
1 2 2
1 2 1
2 2 2
2 2 0
0 2 2
10 7
3 3 3
1 2 2
2 2 3
2 0 0
2 2 0
2 0 3
3 1 1
3 2 0
3 1 0
0 2 1
10 8
2 1 0
1 2 2
0 2 1
0 0 1
2 2 2
2 1 1
0 1 1
2 0 1
0 2 2
2 2 0
10 8
2 2 0
3 2 3
2 2 2
1 0 2
1 3 3
0 3 1
1 1 2
2 3 2
3 1 3
0 0 3
10 5
0 0 2
1 2 1
0 1 0
2 0 0
1 1 0
2 1 0
1 0 1
2 2 0
0 0 0
1 1 1
10 2
1 2 1
2 0 1
0 2 1
1 2 0
2 1 0
1 1 0
1 0 1
0 1 0
0 1 1
2 2 0
10 8
0 2 3
3 1 0
0 0 3
0 2 0
2 2 3
2 1 3
2 0 0
3 2 2
1 1 2
2 2 1
10 8
1 3 0
0 3 3
0 0 1
3 3 0
1 1 1
2 1 2
3 0 0
1 1 0
0 0 3
2 1 1
10 8
0 2 1
2 1 2
2 0 0
0 2 0
1 2 2
2 1 1
0 0 2
1 2 1
0 1 2
0 0 0
10 6
2 0 0
0 2 0
1 1 0
0 0 0
2 1 0
0 1 2
0 1 0
2 1 1
2 2 1
0 1 1
10 6
3 1 0
3 2 2
2 0 1
0 0 2
1 1 2
1 3 0
3 3 2
1 2 1
3 3 3
0 1 3
10 3
3 0 0
1 0 3
1 0 2
3 0 1
0 3 1
1 3 2
2 0 0
1 0 1
1 1 0
3 1 1
10 8
2 2 1
1 1 1
0 1 0
1 2 0
0 2 0
0 0 1
2 0 2
0 2 1
2 2 2
1 0 0
10 9
1 2 1
0 0 3
2 2 0
2 2 2
1 2 0
0 2 3
3 2 3
1 1 0
0 3 1
0 0 0
10 2
2 2 1
2 1 2
2 1 1
0 1 2
1 1 1
2 0 0
0 2 1
1 1 2
0 0 2
2 2 0
10 3
2 0 1
1 1 2
1 1 0
0 0 0
0 0 2
1 2 0
0 2 0
1 0 1
0 1 0
0 0 1
10 5
2 1 1
0 0 2
0 2 0
1 0 1
2 2 0
0 0 0
0 1 2
2 1 0
2 0 1
1 1 1
10 5
3 1 2
3 2 2
1 2 2
0 3 3
3 3 3
2 2 2
1 0 3
2 1 0
0 1 3
2 1 1
10 7
0 3 2
1 0 3
1 1 2
3 0 3
3 2 3
2 0 2
2 2 3
3 3 0
0 1 2
2 2 1
10 9
0 1 1
0 0 0
2 2 0
1 0 0
2 0 1
1 0 1
0 1 0
0 2 0
2 2 2
1 0 2
10 7
1 2 2
0 1 0
3 1 3
2 2 1
0 0 0
0 1 3
0 1 2
1 3 0
2 0 3
1 0 1
10 2
0 3 3
1 2 3
2 0 3
1 3 0
1 1 3
3 2 3
3 3 0
3 1 3
3 2 0
3 0 0
10 7
0 0 1
2 2 3
3 3 2
0 0 2
2 0 2
1 1 0
1 1 3
1 0 1
0 3 3
1 0 3
10 6
2 2 3
0 0 0
1 2 2
0 3 0
2 3 3
2 0 0
3 1 2
2 0 3
0 1 0
3 0 0
10 7
2 2 2
1 1 2
1 2 0
2 0 0
1 2 1
1 0 1
2 2 1
1 1 1
2 1 1
2 2 0
10 4
2 0 1
2 2 0
2 2 2
1 1 1
2 0 0
1 0 2
1 0 1
0 0 2
2 0 2
2 1 2
10 6
1 1 1
1 1 2
1 1 0
0 2 0
1 2 1
2 2 0
2 1 1
1 0 1
1 0 2
0 1 0
10 3
1 1 1
1 1 0
2 0 0
2 0 1
0 2 2
0 1 1
1 0 0
2 2 1
2 2 0
1 2 0
10 3
0 0 2
2 2 0
0 2 0
1 0 1
1 0 0
0 2 1
1 2 0
1 1 0
2 1 1
0 1 1
10 3
0 2 3
0 1 3
2 0 1
1 0 0
2 0 2
2 1 1
2 3 1
0 1 2
0 2 2
1 3 3
10 5
0 1 1
1 3 1
1 1 0
3 0 1
2 0 1
2 2 0
0 0 3
2 0 0
3 2 2
1 0 0
10 2
1 0 2
2 2 0
1 2 2
2 2 1
1 1 2
0 0 0
2 0 1
2 1 2
0 0 1
2 1 1
10 2
2 0 1
2 1 1
0 2 2
2 1 2
0 0 0
2 2 0
0 1 1
0 0 2
1 0 1
0 2 0
10 4
0 1 0
0 0 2
1 0 2
2 1 2
1 1 0
0 0 0
2 1 0
1 0 1
2 2 1
1 1 2
10 7
0 3 0
0 3 2
1 1 0
2 1 2
3 0 0
2 2 0
1 0 2
1 2 0
2 2 1
3 1 3
10 2
1 0 0
0 1 2
0 0 1
0 0 0
2 0 1
1 1 1
1 2 1
1 0 1
0 2 2
2 1 1
10 3
1 1 2
0 1 2
2 2 0
2 0 0
1 2 2
1 0 2
2 0 1
2 2 2
1 2 0
1 0 1
10 5
1 0 1
2 1 1
0 2 0
1 1 2
0 2 2
1 1 0
0 2 1
0 1 1
2 0 1
2 0 2
10 4
2 1 1
1 2 1
1 0 0
2 2 0
0 0 1
1 2 2
0 1 2
2 0 1
1 1 1
0 2 2
10 8
1 3 3
0 3 1
1 2 3
0 0 0
1 2 0
1 1 2
3 1 0
0 1 3
3 2 3
1 2 2
10 6
1 2 0
1 3 3
2 2 2
0 2 3
0 0 2
2 1 1
0 1 2
2 1 0
3 1 1
3 0 3
10 4
0 0 2
2 2 1
0 0 1
0 1 2
2 1 1
1 1 2
2 2 2
1 2 0
2 0 1
2 1 2
10 2
3 1 0
0 3 2
0 1 1
3 1 3
3 3 2
2 0 3
0 2 2
2 3 2
2 2 3
2 0 2
10 3
1 0 0
3 0 1
1 1 0
3 3 2
1 0 1
3 0 0
3 3 3
3 3 0
0 0 1
0 0 3
10 5
0 1 2
1 2 1
1 2 0
1 0 1
2 1 2
0 2 0
0 1 1
0 2 2
1 1 1
0 1 0
10 4
0 2 2
1 1 3
0 2 0
3 3 2
2 2 1
0 1 2
2 3 1
0 1 0
1 3 0
0 3 2
10 5
0 0 3
1 1 2
3 0 3
0 1 2
1 3 2
1 2 2
2 3 0
0 0 2
1 2 3
2 0 2
10 7
0 0 2
1 1 1
1 1 0
1 2 1
2 0 1
1 2 2
2 2 2
0 1 0
1 1 2
0 0 1
10 7
2 2 1
0 0 0
1 1 0
2 2 0
0 2 2
2 1 1
2 0 0
0 0 1
1 1 1
1 0 1
10 8
3 3 0
1 2 3
0 0 0
3 3 2
0 2 2
3 0 3
1 0 0
1 3 1
1 3 2
0 3 2
10 5
0 2 2
1 0 1
2 2 1
1 0 2
0 0 2
1 1 2
2 0 1
0 1 2
1 1 1
2 0 2
10 6
0 2 1
1 0 0
2 3 0
3 0 3
0 0 0
1 0 3
2 3 1
0 2 3
0 1 1
2 0 3
10 3
3 3 2
2 2 0
3 1 3
0 2 0
2 1 0
2 0 3
2 3 2
1 1 3
0 0 1
3 0 0
10 2
2 2 1
2 0 0
0 0 2
1 0 2
2 0 2
0 2 1
1 0 1
2 1 0
2 0 1
0 2 2
10 2
3 0 2
1 0 2
0 0 2
3 1 1
0 2 1
1 1 2
1 3 3
0 0 3
3 1 3
2 0 1
10 8
1 0 1
0 1 2
2 1 2
1 2 1
2 2 1
2 0 0
0 1 0
1 2 2
2 2 0
0 2 1
10 5
2 0 1
1 1 0
1 0 1
1 0 0
2 2 1
1 1 1
1 2 0
2 2 2
0 2 0
0 0 2
10 4
0 2 0
1 2 1
0 2 2
1 0 1
0 0 2
1 0 2
1 1 0
0 1 0
2 1 2
0 2 1
10 3
2 0 1
1 2 0
2 1 1
2 2 0
1 0 1
0 0 1
1 2 2
0 1 2
1 0 2
0 2 2
10 3
1 2 3
1 2 0
0 2 1
0 2 3
3 0 0
2 3 1
1 3 0
3 2 2
1 0 2
0 1 0
10 8
0 2 2
2 2 2
0 0 1
1 1 0
0 1 1
0 1 0
2 2 0
2 2 1
1 0 0
2 0 2
10 3
2 1 0
1 0 0
2 2 1
2 0 0
1 1 0
0 1 1
0 1 0
1 0 2
0 1 2
0 0 0
10 5
2 3 0
2 2 3
3 2 3
0 1 1
1 2 0
1 0 2
2 3 2
1 2 1
3 2 2
1 3 3
10 3
0 0 2
0 1 0
0 3 0
0 0 0
3 3 3
0 1 2
2 1 2
1 2 0
3 1 0
2 2 2
10 4
1 2 0
1 0 0
1 1 2
0 0 1
1 1 0
0 2 0
2 1 2
2 2 1
0 1 2
2 0 0
10 6
3 0 1
0 1 2
3 2 2
1 0 1
2 2 0
1 3 1
2 3 2
0 0 0
1 1 3
0 3 1
10 9
1 2 1
1 1 3
3 2 0
1 0 2
0 1 0
1 0 1
3 2 1
2 1 0
0 2 0
1 0 3
10 6
1 0 2
0 2 2
1 0 1
0 0 0
0 1 1
2 1 0
2 2 1
2 1 2
0 0 2
2 0 0
10 4
0 0 1
2 3 0
2 3 2
2 1 3
2 2 0
1 0 0
2 1 2
1 3 1
3 0 2
3 2 0
10 7
2 3 2
1 1 0
3 2 2
0 3 0
3 3 1
3 3 0
1 1 1
1 3 0
0 2 3
2 3 1
10 4
1 2 0
2 1 0
2 1 2
0 0 1
1 1 2
1 2 1
0 2 1
2 2 0
1 0 1
2 1 1
10 7
1 2 1
2 3 0
2 1 3
3 0 0
3 3 2
1 1 3
2 3 2
0 2 1
3 2 2
0 0 1
10 3
2 1 1
1 1 1
0 0 0
1 1 2
2 0 2
2 2 1
1 0 1
1 2 1
1 2 2
2 2 0
10 6
2 1 2
0 0 1
2 1 1
2 0 2
2 0 0
0 2 2
1 2 0
1 1 0
0 2 1
1 2 1
10 5
2 0 0
1 2 0
0 0 2
0 1 1
1 0 2
0 2 0
1 0 1
2 2 0
2 1 2
0 0 1
10 9
0 2 2
1 2 0
1 0 1
0 0 0
1 2 2
0 2 0
2 2 1
0 1 2
2 1 0
0 1 1
10 2
0 2 0
2 0 1
1 0 2
0 0 1
2 2 1
2 1 1
2 2 0
2 2 2
1 2 0
0 0 2
10 2
0 1 1
0 1 2
0 2 0
2 1 2
0 1 0
1 1 1
2 2 0
1 2 0
2 2 1
0 0 2
10 4
0 1 2
1 1 1
3 1 2
0 0 2
2 3 2
2 3 0
0 0 0
0 3 2
0 3 3
1 1 3
10 5
0 2 0
1 0 1
1 1 0
0 2 1
2 1 1
0 2 2
1 1 1
2 2 2
2 2 1
0 1 2
10 9
1 3 1
2 2 1
2 2 2
2 1 3
1 1 2
2 3 0
3 1 0
3 3 3
2 0 2
2 3 1
10 9
1 2 0
2 2 2
1 0 0
2 2 1
2 2 0
0 0 2
0 1 1
2 0 0
2 1 0
1 0 1
10 2
0 2 1
0 3 0
2 3 3
1 3 3
2 0 0
3 0 1
1 2 2
0 0 2
3 3 3
2 2 1
10 5
3 3 1
3 2 2
0 3 1
2 3 3
2 3 1
3 1 0
1 1 3
3 2 1
3 0 3
0 1 1
10 9
2 2 3
3 1 3
2 3 2
1 2 1
2 3 1
2 2 0
2 0 0
1 3 1
3 2 1
3 1 1
10 6
0 1 3
0 0 1
0 0 3
0 0 0
2 3 0
1 1 2
1 1 3
3 1 1
3 1 3
3 3 1
10 9
0 0 2
2 1 0
2 3 2
0 3 0
3 2 2
1 2 2
1 2 1
1 3 3
2 3 0
0 1 2
10 2
1 1 0
1 0 0
2 0 2
2 0 0
1 2 2
2 2 0
0 2 1
2 1 2
2 2 1
0 1 0
10 6
3 1 1
0 1 1
0 3 3
0 0 0
2 1 2
1 1 0
0 2 0
2 2 3
1 3 2
0 1 0
10 8
1 1 0
1 2 1
2 0 0
2 2 1
2 0 1
2 0 2
0 2 2
0 2 0
0 1 2
1 0 1
10 6
0 3 0
3 2 1
2 2 0
3 0 1
3 1 0
3 0 0
3 3 3
1 1 2
3 1 2
3 2 2
10 7
0 3 2
3 3 3
0 2 2
3 0 3
0 3 0
0 1 1
1 0 2
0 1 2
2 0 0
2 1 1
10 8
1 0 0
2 0 2
0 0 0
1 2 1
0 1 1
1 2 2
2 2 2
1 0 2
1 1 2
1 2 0
10 3
0 2 1
0 3 2
1 2 1
3 0 0
3 3 1
2 1 3
1 3 2
3 1 3
2 0 0
1 2 3
10 6
2 0 0
0 2 2
1 1 2
2 2 1
0 1 2
2 2 2
1 0 1
1 2 1
0 0 0
1 1 0
10 9
1 1 2
3 3 3
0 0 2
3 3 1
0 0 3
0 2 1
1 1 3
3 3 2
0 0 1
3 0 3
10 2
1 0 2
0 3 0
1 1 3
2 3 3
1 1 0
0 3 2
1 3 2
0 2 1
0 1 1
2 0 3
10 8
1 2 0
0 2 2
2 0 0
1 2 2
2 2 2
0 1 2
2 1 2
0 1 0
1 1 0
2 1 0
10 4
2 2 0
0 0 1
0 1 1
1 3 3
1 0 3
0 2 3
0 2 0
1 3 2
0 3 3
3 3 0
10 4
0 0 0
1 0 0
1 0 2
1 1 0
2 2 2
1 2 1
1 1 1
0 1 2
0 0 2
0 2 0
10 3
1 0 0
2 0 1
0 0 1
2 0 0
2 0 2
2 2 2
1 2 2
1 1 0
0 1 0
0 2 0
10 2
0 2 2
2 0 1
0 0 2
1 2 2
1 2 0
0 0 1
0 1 2
0 1 0
2 2 0
2 2 1
10 5
2 2 1
3 2 1
3 2 2
3 3 1
0 3 1
3 1 3
3 2 0
3 1 0
3 3 3
1 2 1
10 6
2 2 0
3 0 2
0 2 3
3 3 1
3 1 3
1 3 1
0 3 1
3 2 0
1 2 1
3 1 1
10 4
2 2 1
1 2 0
1 1 2
0 0 0
1 0 0
0 1 1
2 2 0
1 1 0
0 0 2
2 1 2
10 5
0 0 1
1 0 2
0 1 0
1 2 2
2 1 1
2 1 2
0 2 2
0 0 2
0 2 0
1 1 1
10 9
2 1 2
3 2 0
3 2 2
0 3 3
3 1 1
3 1 3
0 0 2
1 0 3
2 1 1
1 3 3
10 9
2 1 1
2 0 1
0 2 1
0 0 0
1 0 2
0 1 0
0 2 0
1 0 1
0 1 2
2 0 2
10 2
0 0 3
1 3 2
2 1 2
3 0 3
2 3 2
3 2 1
0 2 3
2 2 1
0 2 2
0 3 1
10 6
3 3 0
1 2 2
0 2 2
0 0 0
1 0 1
1 2 0
0 1 3
3 3 1
2 1 3
3 2 3
10 6
0 0 2
3 3 3
0 3 2
0 0 3
0 3 0
2 2 1
2 1 0
0 2 1
2 3 3
1 1 3
10 8
1 1 0
2 0 0
0 0 2
0 2 2
1 2 0
2 1 1
1 0 0
1 0 1
1 0 2
1 2 2
10 3
0 2 2
2 1 1
2 2 2
2 2 0
1 1 2
2 1 0
0 0 0
0 1 1
2 2 1
0 2 0
10 8
2 2 0
0 0 0
2 2 1
0 0 1
2 0 0
0 1 1
1 2 1
2 1 1
1 0 2
0 2 0
10 6
0 1 0
1 2 2
0 2 0
0 0 1
2 2 2
2 2 1
0 1 2
2 1 0
2 1 1
2 0 0
10 5
2 2 1
2 0 2
0 1 1
0 2 1
1 2 2
2 2 0
2 1 1
1 0 1
2 1 0
1 1 0
10 5
0 1 1
0 1 2
1 0 1
1 1 0
0 1 0
1 1 2
1 0 2
2 2 1
2 1 0
2 2 0
10 6
0 1 0
0 0 1
1 2 2
1 1 0
2 2 2
2 1 0
0 2 2
2 2 1
1 1 2
0 1 1
10 5
2 3 2
0 3 1
1 0 0
0 1 0
2 3 0
1 1 3
2 0 3
1 3 1
2 1 3
0 2 1
10 8
0 1 3
2 2 1
2 2 2
3 2 1
2 0 0
3 0 3
3 0 1
1 0 0
0 1 2
3 0 0
10 3
2 0 2
1 1 1
1 2 0
2 0 0
0 2 0
1 0 1
0 0 0
2 2 2
1 0 0
0 2 2
10 5
1 2 1
0 1 2
2 2 1
0 2 1
0 1 1
2 0 2
2 0 0
1 1 0
0 1 0
2 2 2
10 6
0 0 2
1 2 2
2 0 2
2 0 1
1 1 0
2 2 0
1 0 0
1 1 1
2 2 1
0 2 2
10 7
0 1 2
3 3 3
2 2 3
3 0 1
1 3 0
2 0 1
3 2 1
0 2 3
2 3 1
0 2 1
10 6
2 2 0
0 2 1
1 0 0
2 1 2
0 1 2
2 0 1
1 1 0
0 1 1
2 2 2
1 1 1
10 4
0 2 3
2 1 3
2 3 3
0 2 2
2 2 0
0 1 0
0 3 1
1 1 0
3 3 3
3 2 1
10 4
2 2 1
1 2 2
1 0 1
0 2 0
2 2 2
0 1 2
2 1 2
1 2 1
2 2 0
2 0 2
10 8
3 3 0
2 2 1
1 1 0
1 1 3
3 3 3
1 0 3
3 0 2
3 1 3
1 3 1
2 3 2
10 8
2 1 0
0 1 2
0 0 2
0 2 2
0 2 1
0 1 1
1 2 0
1 1 1
1 1 2
2 0 2
10 8
2 0 0
0 2 0
0 0 1
0 1 1
1 2 2
0 2 2
2 1 2
0 2 1
2 1 1
1 1 2
10 5
3 1 1
3 1 0
1 3 3
2 0 2
0 2 0
2 2 0
2 1 1
3 0 1
0 2 3
3 0 2
10 4
0 1 3
1 2 1
0 2 3
3 0 0
2 0 3
3 2 3
0 0 0
2 0 1
1 3 1
0 3 2
10 8
2 2 3
0 1 0
0 3 2
3 1 0
2 0 1
3 2 2
0 0 3
3 3 3
3 0 1
2 0 0
10 7
0 1 2
3 2 3
3 3 1
1 1 2
2 0 0
3 0 1
3 3 0
0 1 1
1 2 2
2 2 2
10 7
1 0 2
2 0 2
0 0 0
2 1 1
1 1 1
2 0 1
0 2 0
1 1 2
2 2 1
0 2 2
10 9
1 3 3
2 0 1
3 2 0
1 1 1
3 3 2
2 2 3
2 1 1
2 3 2
3 1 2
3 2 2
10 4
0 2 0
3 3 2
0 0 2
1 0 3
2 0 3
0 2 3
1 1 2
0 3 2
1 3 1
3 3 1
10 5
0 1 2
1 2 1
0 0 1
0 0 2
0 1 0
2 2 2
2 0 1
2 2 0
1 1 2
1 0 2
10 6
1 0 1
0 1 0
2 0 2
1 1 0
1 0 2
1 1 2
1 2 0
0 2 1
2 1 2
2 0 0
10 4
1 0 2
1 2 0
0 1 1
0 1 0
0 2 2
1 0 1
0 2 1
1 2 2
0 0 2
2 2 0
10 7
1 0 1
3 1 1
2 3 3
3 3 0
3 3 3
3 0 3
1 3 2
2 0 0
1 2 0
1 3 0
10 5
0 1 1
2 0 1
0 0 2
0 0 0
0 2 2
0 2 0
2 1 1
2 0 0
2 1 0
1 2 1
10 6
2 1 1
0 1 0
1 1 1
1 0 0
2 1 0
2 0 0
0 2 1
2 2 0
2 2 2
1 2 1
10 9
0 1 1
1 3 1
2 3 3
1 1 3
2 2 0
3 2 2
1 1 1
2 2 3
3 0 0
2 3 2
10 9
0 1 0
2 0 0
1 1 1
2 2 1
0 0 2
1 1 2
1 2 0
2 1 0
1 1 0
2 2 2
10 7
0 2 2
0 0 1
1 2 0
0 1 2
1 1 2
2 1 0
2 1 2
2 0 0
2 0 1
0 1 1
10 4
0 1 2
2 2 2
0 2 2
0 0 2
1 0 2
1 2 0
2 1 0
2 0 2
1 1 1
0 0 0
10 2
2 0 2
1 3 0
3 1 0
3 1 2
0 3 0
0 2 3
0 0 2
3 0 2
3 3 3
2 3 2
10 4
2 0 1
1 0 1
2 1 1
1 2 2
0 1 1
0 0 2
0 2 2
1 2 0
2 0 2
2 2 1
10 4
3 1 3
2 3 0
3 0 2
3 2 3
3 2 2
3 2 0
1 3 3
0 2 0
0 0 2
2 3 1
10 8
1 1 1
2 0 0
3 3 0
2 1 1
0 1 0
2 2 0
1 1 2
1 0 0
1 2 2
2 1 0
10 4
2 1 1
1 2 2
0 0 1
1 2 1
0 2 0
0 0 0
2 0 2
2 2 2
2 2 1
2 1 2
10 5
1 0 1
1 2 1
2 0 0
0 2 2
1 1 0
0 2 1
1 2 2
1 0 0
2 2 1
0 2 0
10 2
0 0 1
0 2 1
0 1 0
0 2 2
0 0 2
1 1 2
2 2 0
2 2 1
0 2 0
2 0 0
10 7
2 2 3
3 1 1
3 2 1
3 3 0
2 0 1
2 1 3
3 1 3
0 3 3
1 3 2
1 3 3
10 2
3 3 2
2 0 3
1 0 0
3 1 2
2 1 3
3 1 3
1 2 3
0 3 3
2 3 3
3 1 0
10 9
2 3 3
2 0 1
2 0 2
1 3 0
0 1 0
2 2 0
0 0 1
0 3 2
2 1 2
0 3 1
10 5
0 0 0
2 2 1
2 0 1
2 0 0
1 1 1
1 2 0
1 0 0
1 0 2
2 1 2
2 0 2
10 9
1 1 3
3 1 0
2 1 0
2 3 3
0 1 3
3 3 1
3 0 2
3 1 2
3 0 3
3 3 3
10 8
0 2 1
3 1 2
3 3 2
3 2 0
3 1 0
0 0 3
2 1 1
0 2 2
1 0 1
1 0 2
10 2
2 0 0
0 1 0
0 0 1
2 2 1
1 2 1
1 1 2
0 0 2
1 0 1
2 1 1
2 2 0
10 9
0 1 1
1 0 0
0 2 0
1 0 1
0 2 2
1 2 2
2 2 2
2 1 0
0 0 2
2 0 0
10 4
2 3 0
0 1 0
3 2 2
0 1 2
2 1 0
3 3 0
1 2 1
3 1 3
0 0 0
0 3 1
10 4
0 0 2
2 2 0
0 1 0
0 1 2
1 0 1
0 2 0
0 0 0
1 0 2
1 0 0
2 1 2
10 4
1 2 0
2 0 0
0 2 1
3 3 0
2 1 2
1 2 3
0 1 0
1 1 0
0 3 3
0 0 0
10 6
0 0 2
1 1 2
2 0 1
2 2 1
1 0 2
2 2 0
2 0 2
2 2 2
0 1 0
0 1 1
10 5
0 1 1
1 1 0
3 2 3
0 3 3
3 1 3
3 0 1
2 2 2
0 0 2
0 0 1
0 1 3
10 3
2 1 0
0 2 1
1 1 0
2 0 1
2 1 1
0 1 1
0 1 0
0 0 0
1 2 2
1 0 1
10 5
1 2 1
2 2 3
3 0 1
3 0 0
0 3 3
2 1 3
2 0 0
0 1 3
3 1 3
2 1 1
10 4
2 1 0
0 0 2
2 2 2
1 2 0
1 0 2
0 0 0
2 0 1
0 0 1
0 2 0
1 2 2
10 9
1 1 1
2 0 1
0 1 0
2 1 1
0 2 2
0 2 0
1 0 2
2 0 2
1 1 2
0 1 1
10 9
0 1 2
3 2 1
2 3 2
1 1 0
0 0 3
3 0 3
2 2 1
1 2 3
2 1 0
3 1 2
10 7
0 1 0
1 2 1
2 1 1
0 0 2
2 0 2
1 1 1
2 0 1
2 1 0
0 1 2
1 2 2
10 5
2 1 2
1 1 1
2 0 0
2 1 0
0 1 0
0 2 0
1 0 0
1 1 2
2 1 1
1 2 0
10 4
1 1 0
2 2 1
1 3 3
2 0 1
3 2 1
2 0 0
2 3 1
2 3 0
1 2 0
2 0 2
10 8
1 0 2
0 0 1
1 0 0
2 0 0
0 2 2
0 0 0
2 2 0
1 2 0
2 1 1
1 2 1
10 8
2 0 2
2 1 1
2 1 2
1 1 0
0 1 0
0 0 1
1 2 1
1 1 2
0 2 0
2 1 0
10 2
0 2 1
2 0 1
2 2 0
0 0 0
2 1 1
2 1 2
1 0 1
0 1 0
0 1 1
1 2 2
10 4
0 3 2
2 1 0
2 1 3
0 3 3
3 2 3
3 3 2
1 2 2
2 3 2
1 1 1
1 0 3
10 5
2 0 2
2 2 0
1 1 0
0 0 0
2 1 1
0 1 0
0 0 2
1 0 0
2 2 1
0 1 1
10 4
3 0 2
1 3 1
1 0 3
0 1 3
1 3 3
2 2 0
3 3 0
3 3 2
2 1 0
0 3 2
10 4
1 2 3
1 0 0
3 0 1
1 2 0
1 3 3
0 1 0
1 1 1
1 1 0
0 0 1
1 3 2
10 8
2 1 0
1 1 1
1 1 0
1 0 1
0 2 0
1 2 0
2 1 2
2 0 0
0 0 2
2 0 1
10 8
1 2 2
1 0 1
0 0 1
1 0 2
1 1 1
1 0 0
2 2 2
1 1 2
2 0 0
2 1 0
10 3
1 3 1
3 3 3
1 1 3
3 1 1
0 2 1
2 3 1
2 2 0
1 0 3
0 0 0
3 0 0
10 4
0 1 0
2 0 0
1 1 2
1 0 1
2 2 1
1 2 1
0 1 2
0 2 0
1 1 0
1 1 1
10 3
2 1 1
0 2 0
2 0 2
1 0 2
2 1 2
1 0 0
1 2 1
0 1 0
2 0 0
0 0 1
10 4
3 1 2
0 3 3
1 2 2
0 2 2
0 1 0
2 2 1
1 2 1
2 2 0
0 0 1
0 1 1
10 5
2 3 2
1 2 3
1 3 2
1 2 2
0 1 3
1 0 1
1 3 1
0 1 1
3 0 2
2 0 1
10 4
2 2 2
1 0 2
1 0 1
0 0 0
1 0 0
2 2 1
2 1 2
1 1 0
1 2 2
0 2 2
10 8
0 2 2
1 1 1
2 2 1
1 2 0
3 2 2
1 2 1
2 2 3
0 1 1
0 0 2
3 3 2
10 7
1 1 1
0 3 1
0 1 2
0 1 3
0 2 1
0 0 3
1 2 2
2 2 3
0 0 1
1 3 2
10 9
1 1 2
1 1 1
1 2 0
1 2 1
2 0 1
0 0 1
0 2 2
1 1 0
0 0 0
1 2 2
10 7
0 2 2
1 1 1
1 0 0
1 2 0
0 0 2
0 1 2
0 1 1
1 0 2
2 2 2
1 2 1
10 3
2 0 1
1 2 1
0 1 2
2 0 2
2 2 1
0 0 2
2 0 0
2 1 2
2 2 2
1 0 1
10 7
1 0 1
1 0 2
0 2 0
0 0 0
0 2 1
1 1 1
2 2 1
2 1 1
0 1 1
2 0 0
10 4
0 1 1
2 2 1
1 1 1
1 0 0
2 1 2
2 1 0
0 2 0
2 0 0
0 0 0
2 0 1
10 4
1 1 0
2 0 3
0 3 3
0 0 2
0 3 0
0 1 1
1 0 2
1 1 2
2 1 2
3 2 0
10 4
1 1 0
1 2 2
1 0 0
2 1 2
2 2 2
1 0 1
1 1 2
1 1 1
1 0 2
2 1 0
10 8
1 1 0
1 0 0
0 1 0
2 0 0
1 2 0
1 1 2
2 1 0
0 0 0
2 2 1
0 1 1
10 5
2 2 0
1 0 2
0 1 1
1 1 1
1 0 1
2 1 0
2 2 2
0 0 2
0 2 0
0 0 0
10 7
2 2 2
3 2 0
0 0 2
3 0 0
3 1 1
1 1 1
0 3 3
1 3 1
1 1 2
1 0 2
10 7
2 2 3
1 2 0
1 3 3
2 0 2
3 1 3
0 0 0
1 3 0
2 0 1
0 2 2
0 2 3
10 5
0 1 0
1 1 0
0 1 2
1 2 1
2 2 2
2 2 1
2 2 0
1 2 2
1 0 0
2 1 0
10 2
0 0 2
1 2 2
0 1 1
2 0 0
1 1 0
1 0 2
1 1 1
2 2 0
0 2 2
2 2 1
10 7
2 2 0
1 0 3
3 2 2
3 1 1
1 3 0
0 3 0
0 3 3
0 0 3
3 2 0
2 3 1
10 2
2 2 1
1 1 2
2 1 3
2 0 3
1 0 1
0 3 1
2 3 1
1 0 0
3 3 1
3 0 3
10 8
3 0 0
3 1 3
1 3 2
3 2 3
1 1 1
2 1 0
0 1 3
1 0 2
2 1 1
1 0 1
10 4
2 1 2
2 2 1
0 0 0
0 1 0
2 0 2
0 0 1
1 0 2
2 1 0
1 1 2
1 1 0
10 7
1 1 1
2 2 0
0 1 0
0 0 2
0 0 0
1 2 1
2 0 0
1 0 0
2 0 2
0 1 2
10 9
0 1 0
2 0 0
2 1 0
1 2 0
1 2 1
0 2 2
2 0 1
1 1 1
1 1 2
0 0 0
10 4
1 1 1
2 0 1
0 1 1
0 0 1
1 0 2
2 2 1
0 0 0
0 2 2
1 0 0
2 1 2
10 2
3 2 3
3 1 0
0 2 0
0 1 0
0 1 2
1 1 0
0 2 3
1 3 3
0 0 0
3 1 1
10 6
2 1 3
1 1 1
0 1 0
2 2 0
1 2 3
1 2 0
1 2 2
1 1 2
1 2 1
1 0 3
10 5
1 2 3
3 0 2
1 3 0
1 0 2
1 3 2
0 0 2
2 0 2
3 2 0
0 2 3
1 1 2
10 8
0 0 0
0 1 0
0 1 1
2 2 0
1 1 0
0 0 1
2 1 1
2 0 0
0 1 2
1 2 1
10 9
0 1 2
1 1 3
0 2 1
2 1 3
1 2 3
3 1 2
2 3 3
2 0 2
0 0 2
0 2 0
10 3
2 0 2
0 0 1
1 0 2
0 2 1
1 0 0
0 1 1
2 0 1
1 2 1
2 2 0
1 1 2
10 4
3 3 1
1 2 2
0 2 0
1 1 0
3 0 3
2 1 0
1 2 1
1 3 1
1 3 3
2 2 2
10 2
2 1 1
2 2 0
2 0 1
1 0 1
2 2 1
0 2 1
0 1 2
1 1 1
1 2 2
1 0 0
10 4
1 2 3
1 2 1
3 2 1
0 3 2
0 0 2
2 0 2
2 3 0
2 2 3
0 2 2
1 0 1
10 2
2 2 3
0 1 1
0 3 1
2 0 2
0 0 1
1 1 1
0 0 2
2 0 3
2 3 2
0 1 2
10 5
2 0 0
0 2 2
1 1 1
1 2 2
2 1 0
0 0 0
1 2 1
1 1 0
0 1 1
1 0 2
10 8
0 0 3
2 2 1
1 2 1
3 3 2
1 1 1
2 3 0
2 1 2
0 0 1
3 3 3
1 2 2
10 9
0 0 1
0 0 2
1 0 2
2 1 0
0 1 0
1 2 0
2 1 2
1 0 1
0 2 2
2 0 2
10 2
2 2 2
2 1 1
1 1 0
1 0 2
1 2 1
0 1 2
0 2 1
0 0 2
1 1 1
0 1 0
10 7
0 1 0
1 2 1
2 0 1
2 2 0
1 2 0
0 2 2
2 1 2
2 2 2
1 0 2
1 0 1
10 5
0 3 3
3 2 0
0 1 3
2 1 3
0 1 1
2 2 3
2 2 0
0 0 1
1 3 3
0 2 0
10 2
2 0 0
1 1 2
2 1 1
1 2 2
1 2 0
1 0 1
2 2 2
0 0 2
1 0 2
0 1 0
10 6
0 1 2
0 2 0
2 2 0
0 2 2
1 1 1
2 0 1
2 1 0
1 2 0
1 2 1
0 0 1
10 8
0 0 1
1 0 0
1 2 1
0 1 2
0 2 0
0 1 1
1 2 2
1 2 0
2 0 2
1 1 1
10 2
2 0 0
1 2 2
2 2 2
1 0 1
0 1 0
1 2 1
2 0 1
2 1 2
0 2 2
1 1 2
10 4
1 3 1
1 1 1
2 0 1
2 3 1
3 0 1
2 2 2
2 1 1
1 2 0
0 2 0
3 3 3
10 3
2 2 1
0 2 1
1 1 0
2 1 2
0 1 0
2 0 1
0 2 2
2 1 1
0 0 1
0 1 2
10 9
3 3 0
0 0 0
1 1 2
1 3 3
2 3 3
0 2 0
1 1 1
0 3 3
1 2 3
3 0 0
10 6
0 2 2
1 1 1
2 0 1
0 2 1
0 0 2
2 1 0
0 0 0
0 1 2
2 2 1
2 2 2
10 4
2 1 3
0 0 3
2 3 3
3 3 2
1 0 2
0 1 1
2 0 0
2 1 0
2 0 2
0 2 3
10 7
1 0 0
3 3 1
3 2 1
1 1 0
1 2 1
1 3 1
2 3 3
0 2 0
0 1 2
0 2 1
10 2
2 2 2
2 0 0
0 2 0
2 1 0
1 2 2
0 0 0
0 1 1
2 0 1
1 0 1
2 1 1
10 8
0 0 1
2 3 3
2 3 1
3 3 3
2 0 1
1 3 3
0 3 1
3 0 2
3 3 1
2 2 0
10 4
3 1 1
3 1 3
0 0 1
0 3 2
0 1 2
0 2 0
2 3 2
2 1 1
1 1 1
2 3 3
10 9
0 2 1
2 1 0
2 0 1
1 2 1
1 2 0
1 2 2
1 1 1
0 2 2
0 1 1
1 0 1
10 8
2 0 0
1 1 2
1 0 1
2 2 2
0 1 0
1 0 0
2 2 0
0 2 0
1 2 0
0 0 1
10 9
2 2 0
1 0 1
0 2 2
2 1 1
0 2 1
0 1 0
0 0 2
1 2 0
0 2 0
2 0 2
10 2
1 2 1
0 1 1
1 0 0
1 0 2
1 1 2
1 0 1
0 0 2
0 0 0
0 2 1
0 1 0
10 2
0 1 2
2 0 1
2 1 1
2 0 2
0 1 1
0 0 2
1 0 2
1 1 2
1 2 1
2 0 0
10 7
0 2 2
1 0 1
0 1 2
2 3 0
1 2 1
3 3 0
0 1 3
2 1 1
2 0 3
2 3 3
10 4
2 0 0
0 0 1
2 1 1
0 2 1
0 0 2
2 1 0
1 0 1
1 1 2
1 2 2
0 2 2
10 2
2 1 2
3 0 3
0 2 3
1 2 2
3 1 0
1 2 1
0 2 2
2 0 0
0 1 3
2 0 2
10 4
2 1 2
1 2 2
1 2 0
0 2 2
1 1 0
2 2 1
0 0 0
2 2 0
1 0 0
1 1 2
10 3
3 3 3
1 2 3
1 0 1
3 1 2
1 1 3
2 3 0
1 0 3
3 1 1
0 0 3
0 1 0
10 2
1 3 1
2 2 1
1 3 2
2 1 1
2 3 1
3 3 1
3 3 0
0 0 0
1 0 2
1 0 0
10 9
0 0 2
2 0 0
0 2 2
1 2 1
2 0 2
1 1 0
2 1 1
0 0 0
0 2 0
1 0 2
10 2
2 1 1
0 1 1
2 1 0
0 0 2
2 0 0
0 1 0
1 2 2
0 2 0
1 1 1
1 1 2
10 3
1 0 2
1 2 1
0 2 0
0 0 2
0 0 0
0 1 0
2 2 0
2 2 2
0 0 1
1 1 0
10 6
1 0 3
0 0 3
0 2 1
1 1 3
1 3 3
2 1 1
1 1 1
0 0 0
2 2 2
1 0 1
10 2
0 2 2
2 1 0
0 1 2
3 2 3
2 3 3
3 2 1
3 2 2
3 0 3
0 0 2
1 0 0
10 8
2 0 0
2 0 2
1 1 0
0 0 1
2 0 1
1 1 2
1 0 2
2 2 0
1 0 1
1 2 1
10 8
2 3 0
2 0 0
0 0 0
3 3 3
0 0 1
2 2 2
3 1 3
0 3 2
0 2 3
2 0 3
10 7
2 2 0
3 1 2
0 0 1
1 0 3
3 0 1
3 3 3
1 3 0
1 3 3
2 1 0
2 2 3
10 5
1 1 1
3 3 1
3 3 2
2 3 0
1 2 1
0 2 2
2 2 1
1 0 3
2 3 1
1 3 2
10 8
1 0 0
2 1 2
2 2 3
0 1 1
0 2 2
0 0 1
3 0 1
3 2 1
2 2 2
0 0 0
10 4
0 2 0
2 0 2
1 1 2
2 1 0
0 1 0
1 1 3
0 3 1
1 1 1
2 1 1
3 0 1
10 2
1 1 2
1 1 1
3 2 2
1 2 3
3 2 3
0 2 3
0 0 3
3 2 0
1 3 1
3 3 0
10 5
1 1 1
3 1 0
2 1 0
1 0 1
0 2 2
0 2 0
2 2 0
1 3 3
1 3 0
2 2 3
10 4
2 2 0
2 2 1
1 2 0
0 2 1
0 2 0
0 1 1
2 2 2
0 0 1
2 1 1
2 0 0
10 3
0 2 2
2 3 1
2 0 2
0 3 0
1 2 1
3 2 3
0 0 2
2 1 0
2 3 2
3 3 3
10 5
3 0 2
2 1 3
1 3 3
3 3 0
0 3 1
3 1 1
0 0 1
1 1 1
3 2 0
3 0 0
10 6
2 1 1
0 2 1
1 1 3
1 0 3
1 2 3
2 2 3
2 3 3
2 2 1
0 0 1
2 2 2
10 5
1 2 2
0 3 1
1 3 3
1 3 0
1 2 0
3 0 0
1 0 1
0 1 2
1 0 0
3 3 3
10 2
1 3 0
1 3 1
0 1 0
3 0 2
1 3 2
0 0 0
3 1 0
1 0 1
2 0 1
0 2 0
10 2
2 2 1
0 0 0
1 2 2
0 1 2
1 1 1
2 0 0
1 2 0
0 2 0
0 1 1
2 2 0
10 2
0 1 1
0 2 0
3 0 0
1 1 0
2 0 0
0 2 2
2 1 0
2 2 1
2 1 2
1 0 1
10 8
1 1 1
0 2 2
2 2 2
1 1 2
0 1 1
1 2 1
2 0 2
1 0 0
0 0 0
0 2 1
10 8
0 2 1
0 1 1
0 0 0
2 1 1
2 0 1
1 0 2
1 1 2
0 1 2
2 1 0
2 2 1
10 7
3 2 1
3 1 2
3 2 3
0 1 3
0 1 2
2 2 3
0 3 2
1 1 0
0 2 2
1 1 3
10 3
2 1 0
2 1 2
0 2 1
1 2 0
2 2 0
0 1 1
1 0 1
1 1 2
0 0 1
1 2 2
10 2
1 0 2
2 2 1
3 2 2
1 1 1
0 3 1
1 2 1
3 3 2
2 3 1
2 0 2
3 0 2
10 4
2 0 1
2 1 2
1 0 2
1 1 2
0 2 2
1 2 2
0 0 1
2 1 0
0 2 1
1 0 1
10 5
2 0 3
2 1 2
3 2 2
2 1 3
1 2 2
3 3 0
1 3 0
2 2 3
0 1 2
3 0 0
10 5
1 1 0
1 2 0
1 2 3
0 0 0
1 3 3
2 1 2
3 1 0
3 2 3
1 3 2
0 3 3
10 4
1 2 0
0 2 2
1 0 0
0 1 1
2 2 0
2 2 2
0 0 2
1 1 2
2 1 2
2 0 2
10 7
1 0 1
0 1 2
1 2 2
2 2 1
1 2 1
1 1 0
1 2 0
0 0 2
2 1 2
2 0 0
10 2
0 2 1
1 2 1
0 0 1
2 1 1
0 2 0
2 2 0
1 0 2
2 0 1
1 1 1
0 1 1
10 3
2 0 1
2 2 1
1 2 1
2 2 0
1 1 2
0 1 0
2 2 2
1 2 2
0 1 1
0 0 1
10 4
2 0 0
2 1 2
1 0 1
2 0 2
0 1 2
1 0 0
1 2 2
1 1 0
2 2 2
0 0 1
10 3
0 0 2
0 3 1
1 1 1
1 0 0
0 2 0
2 1 0
2 0 2
2 2 1
2 1 1
3 3 0
10 8
0 3 3
2 3 1
2 2 1
1 0 1
1 0 0
0 2 1
0 2 0
3 0 3
2 0 0
1 2 2
10 2
0 0 0
0 2 1
2 0 2
1 2 2
2 2 1
2 1 1
0 2 2
2 2 0
1 1 2
0 0 1
10 5
3 3 0
0 0 3
1 0 2
2 3 0
0 2 3
1 0 3
1 2 3
3 3 3
2 3 1
3 2 0
10 6
0 3 2
0 2 3
0 3 3
2 3 3
1 0 0
2 2 2
0 2 1
2 2 0
2 1 1
2 3 0
10 9
3 3 0
2 1 0
0 1 3
0 1 2
0 2 1
3 1 1
3 0 3
1 1 3
1 3 2
1 1 2
10 9
0 0 1
2 2 0
1 0 2
1 1 2
0 2 1
1 2 1
2 2 1
2 0 0
2 0 1
1 2 2
10 8
3 1 0
2 1 3
2 1 1
1 1 0
3 3 0
2 3 1
2 2 1
3 1 1
2 0 0
2 2 2
10 5
0 3 2
3 0 2
3 3 1
2 2 1
2 2 3
2 3 0
0 2 3
0 1 3
2 3 1
0 1 0
10 2
1 1 3
3 3 3
2 3 0
3 0 0
0 0 2
0 3 2
3 1 2
2 2 1
1 2 3
0 0 3
10 9
0 1 0
1 2 0
0 0 0
2 0 0
0 0 2
1 2 1
2 1 1
2 1 0
2 1 2
0 2 0
10 5
1 2 2
2 1 2
0 0 2
0 2 0
2 1 0
1 2 1
0 0 0
0 2 2
0 1 2
2 0 0
10 2
2 1 1
3 2 2
0 1 0
0 2 1
0 1 1
1 3 3
1 0 3
0 3 0
2 1 0
1 3 0
10 7
2 0 0
1 1 2
3 2 3
1 0 3
2 3 2
3 0 0
1 2 2
0 0 0
3 0 3
0 3 1
10 4
1 2 0
0 0 2
1 0 0
0 2 1
1 1 0
2 0 0
1 1 2
0 1 0
0 0 1
0 1 1
10 4
1 2 1
1 1 3
2 2 3
3 3 1
1 3 3
0 0 1
0 1 0
2 2 1
2 0 1
2 0 0
10 7
0 0 0
1 2 0
2 2 0
2 0 1
0 2 1
1 0 1
1 1 2
0 1 2
0 1 1
2 1 2
10 5
1 0 0
2 2 2
1 0 1
2 2 1
0 0 0
0 2 1
1 1 0
2 1 1
1 2 1
0 1 1
10 8
2 0 1
1 0 1
1 2 0
2 0 0
1 1 2
1 2 2
0 1 0
2 2 2
0 0 2
1 1 0
10 8
2 0 2
2 2 2
1 2 0
1 0 0
1 1 2
0 1 1
1 0 1
2 1 1
2 1 0
0 2 0
10 5
1 0 1
2 0 2
0 1 2
1 2 1
1 0 2
1 1 1
0 1 1
2 1 1
2 1 0
0 2 0
10 3
2 0 1
2 1 2
1 2 2
0 0 1
2 1 0
0 2 1
2 2 0
0 1 1
1 1 1
1 0 1
10 2
2 2 2
1 0 2
1 2 2
0 2 1
1 2 1
1 0 1
2 1 2
0 0 0
0 0 1
1 1 0
10 2
1 0 2
3 3 0
3 3 1
2 1 2
1 0 3
0 0 3
1 3 1
0 3 0
1 3 0
0 1 3
10 5
1 2 0
1 1 2
2 2 2
0 0 1
0 2 1
0 1 2
0 0 0
2 2 0
0 1 0
0 2 0
10 4
2 2 0
1 1 2
1 1 0
0 2 0
2 1 2
1 0 2
1 1 1
2 1 1
1 2 1
1 2 0
10 5
3 1 0
1 2 2
0 2 1
3 1 2
2 1 2
2 0 2
2 2 2
3 0 3
1 2 3
3 3 2
10 2
2 3 2
2 0 2
0 1 0
1 1 2
0 3 0
3 1 0
1 0 0
0 3 2
2 1 0
1 0 3
10 6
2 1 0
2 2 1
3 3 1
1 0 1
2 2 2
1 0 2
1 1 3
0 1 2
3 1 2
3 0 2
10 5
0 3 2
1 3 3
1 3 2
0 3 0
1 0 3
1 3 0
1 0 0
3 2 1
1 0 1
3 0 0
10 5
2 2 1
1 3 0
3 1 1
3 2 1
1 0 2
0 0 1
3 2 2
1 2 0
2 2 3
2 1 3
10 5
1 1 2
2 2 2
2 0 2
1 1 1
1 2 0
0 0 0
1 0 0
2 2 1
0 2 2
2 2 0
10 9
1 1 1
1 2 2
0 2 0
2 2 2
1 0 2
2 0 1
2 1 0
0 0 1
1 2 1
2 2 0
10 3
1 1 2
1 0 0
2 2 0
0 0 1
2 0 2
2 0 0
1 2 0
1 1 0
1 2 1
2 2 1
10 8
2 2 0
2 0 1
2 0 2
0 0 1
1 1 2
2 1 0
0 0 2
1 0 1
2 0 0
2 2 1
10 8
1 0 2
1 2 2
0 1 1
2 1 1
1 1 0
1 2 1
2 2 0
2 2 1
2 1 2
2 2 2
10 8
0 0 0
0 2 0
2 1 0
2 2 0
0 1 0
2 0 2
1 1 1
1 2 0
2 0 1
1 1 2
10 2
1 1 2
2 1 2
2 2 1
0 2 2
2 2 2
1 0 0
2 0 1
0 0 1
2 1 0
2 2 0
10 8
1 1 0
2 3 2
2 0 3
0 3 3
1 0 2
1 1 3
1 3 3
2 3 0
2 1 1
2 1 0
10 4
1 2 3
2 3 0
1 2 2
1 3 0
2 2 1
2 1 3
2 0 0
3 3 2
0 3 0
1 2 1
10 3
2 1 3
2 2 2
2 2 1
2 3 3
0 3 3
2 3 2
1 0 2
1 0 3
2 1 2
0 1 2
10 2
3 3 1
3 2 2
3 0 2
2 0 2
0 3 1
1 0 1
1 3 3
0 2 3
0 1 3
3 3 3
10 5
2 0 2
2 1 2
0 0 2
0 1 1
1 2 2
1 0 1
2 1 1
1 0 0
1 0 2
0 2 1
10 8
3 3 2
3 0 2
2 1 2
1 1 2
2 2 3
1 2 0
0 2 2
3 0 0
3 2 3
3 0 3
10 6
2 2 2
1 0 2
0 1 0
2 1 0
0 0 1
1 2 0
0 1 2
2 1 1
0 0 0
0 2 2
10 7
3 3 0
3 2 0
2 1 2
3 1 0
3 2 3
3 0 3
3 2 1
3 0 2
0 0 3
0 2 2
10 8
1 0 1
1 1 2
2 2 0
0 2 0
1 0 0
0 2 2
2 2 2
1 2 1
1 1 1
0 0 1
10 6
3 0 0
3 3 0
1 0 3
3 2 2
2 1 1
0 2 2
0 0 3
3 2 1
0 1 2
1 2 2
10 8
0 1 2
0 0 1
0 2 1
2 0 0
2 2 2
1 2 1
0 1 0
0 2 2
1 1 0
0 2 0
10 6
3 3 3
1 3 1
0 2 2
0 0 1
1 1 1
0 3 3
1 1 0
2 1 2
3 2 2
3 0 2
10 5
0 0 2
2 1 2
2 2 1
2 3 0
1 0 1
1 3 1
2 2 0
3 1 2
3 2 3
3 3 3
10 3
1 1 2
1 2 0
1 1 3
2 0 2
3 3 2
1 1 1
2 3 1
3 0 0
1 0 3
1 2 2
10 5
2 0 1
2 0 2
2 0 0
1 0 2
1 0 0
0 0 1
0 1 0
0 1 1
1 2 2
0 2 0
10 5
0 0 1
0 0 0
0 2 2
2 2 1
1 0 2
0 2 1
0 2 0
1 0 1
0 0 2
1 1 1
10 3
1 1 0
2 1 2
0 2 2
0 1 2
2 1 1
2 2 0
1 2 1
1 0 2
0 0 1
0 2 1
10 8
2 0 1
2 3 2
3 0 2
3 3 1
2 1 3
1 0 1
1 1 2
2 0 3
2 2 1
0 1 3
10 3
1 2 0
2 2 1
2 0 1
0 0 0
0 1 1
2 1 1
0 0 1
0 0 2
1 0 1
2 0 2
10 9
1 1 1
2 2 1
0 0 2
1 0 1
0 2 0
1 0 0
0 1 2
0 0 0
2 2 2
1 2 0
10 8
2 2 0
1 1 1
1 2 0
3 2 3
1 1 2
3 0 2
3 2 2
2 0 3
0 0 3
2 1 3
10 8
1 3 0
1 1 1
2 2 1
1 3 2
0 2 2
2 3 3
1 1 2
2 1 0
3 3 2
2 3 2
10 2
2 3 1
0 2 0
2 1 3
1 1 3
2 3 0
2 2 1
1 1 2
1 0 0
0 0 2
0 1 1
10 3
2 0 1
0 2 0
2 2 2
1 1 2
2 2 1
1 2 2
2 1 2
1 0 2
0 0 0
2 2 0
10 3
1 3 0
3 1 3
3 3 2
3 1 1
3 1 0
0 3 2
3 0 1
2 2 2
0 2 1
1 0 2
10 2
2 0 0
1 1 2
2 2 0
0 0 1
0 0 2
1 2 1
0 2 1
1 0 2
0 1 2
2 1 0
10 7
0 0 0
2 2 2
0 2 2
3 0 0
1 1 3
1 3 3
1 2 1
3 0 1
0 1 0
2 3 0
10 9
2 2 2
1 1 1
1 0 1
1 2 0
2 1 0
0 1 1
1 1 2
2 1 1
0 2 2
0 0 0
10 5
2 0 2
2 2 1
2 0 0
1 1 0
2 1 0
2 0 3
0 2 0
0 0 1
3 1 1
0 1 3
10 3
1 2 1
1 3 0
0 3 0
1 1 3
1 0 3
0 1 3
0 2 3
0 0 0
0 3 3
1 3 1
10 9
2 2 0
2 1 2
0 0 1
2 2 2
2 2 1
1 2 0
2 0 1
0 0 0
2 1 1
1 2 2
10 2
2 1 0
0 2 1
1 0 0
0 1 2
2 2 0
1 1 1
2 1 2
0 2 0
1 1 2
1 2 0
10 2
3 2 3
2 0 3
0 1 2
1 3 1
3 0 3
0 2 3
2 3 2
1 0 0
3 3 0
1 1 1
10 5
2 2 3
2 1 3
0 2 3
2 1 1
1 2 1
0 1 1
3 2 0
1 0 3
2 1 0
1 3 3
10 4
2 2 1
2 1 2
1 1 0
1 0 1
0 1 2
1 0 0
1 2 1
0 1 0
0 1 1
1 1 2
10 5
1 1 0
1 1 2
1 2 2
1 2 1
0 2 1
2 1 0
1 0 2
2 0 0
0 2 2
0 2 0
10 9
0 2 1
1 3 3
0 3 2
1 2 3
0 3 3
0 1 0
2 2 0
3 1 2
1 2 1
0 1 3
10 5
1 2 3
0 1 2
2 2 2
2 1 0
1 0 1
0 3 3
2 2 3
1 0 0
0 0 3
2 0 0
10 2
2 2 0
0 2 1
1 2 0
0 0 2
0 1 2
0 0 1
0 0 0
1 1 2
0 1 1
1 0 2
10 2
1 1 1
2 1 0
0 0 1
1 1 0
0 1 2
2 1 1
0 0 0
0 1 1
0 2 1
2 0 1
10 3
0 1 1
0 2 0
2 0 0
2 2 0
1 1 1
1 2 1
0 2 2
2 1 0
0 0 2
0 1 2
10 3
0 1 0
1 1 0
2 2 2
0 2 2
0 0 2
0 2 0
2 2 1
1 2 0
1 1 1
1 1 2
10 8
2 0 1
0 0 2
1 0 0
2 1 0
1 0 1
1 0 2
1 1 0
0 0 1
0 1 0
1 1 2
10 3
2 2 0
0 1 3
2 0 1
0 3 3
0 3 1
2 2 3
2 1 3
1 0 0
3 3 0
0 2 1
10 8
2 0 0
3 3 3
0 3 2
1 2 2
2 2 3
1 0 0
3 3 1
1 2 1
0 2 1
1 1 1
10 7
1 1 1
2 3 0
0 1 3
3 2 0
2 3 2
3 3 2
0 0 1
0 0 0
0 3 1
0 2 1
10 8
1 1 2
0 2 1
0 1 0
1 2 0
2 2 2
2 0 1
1 0 2
1 2 2
1 0 0
2 0 2
10 5
3 2 3
1 0 1
0 0 3
1 3 1
1 3 2
3 3 1
0 3 0
3 3 2
0 2 2
0 1 2
10 6
1 0 1
1 0 0
2 0 3
1 3 0
2 3 2
0 1 3
3 0 2
0 0 0
3 3 2
1 3 2
10 2
3 0 2
3 0 3
1 0 1
0 2 3
0 1 0
2 3 1
3 1 0
0 2 0
1 1 2
3 2 0
10 5
2 2 1
0 0 0
1 2 2
2 0 2
1 1 2
1 1 0
1 2 0
1 1 1
2 0 0
0 1 0
10 9
1 3 0
3 1 1
1 2 3
0 0 1
2 2 2
1 2 2
1 1 3
2 2 0
0 2 1
1 3 2
10 9
1 0 2
1 1 2
2 2 2
0 2 0
2 0 2
1 1 0
1 0 0
2 1 1
2 0 1
0 0 1
10 9
0 0 1
0 0 2
1 2 2
1 2 1
1 0 1
1 0 2
0 2 1
2 0 0
2 2 0
1 1 2
10 2
0 1 2
2 2 0
1 1 0
0 0 0
0 2 0
1 0 0
0 2 2
2 1 0
0 2 1
1 2 0
10 7
1 2 1
2 0 2
1 0 2
1 1 1
1 2 0
0 2 0
2 2 1
0 0 2
2 2 0
0 1 2
10 5
1 0 0
2 2 1
0 3 2
1 2 0
2 0 1
0 0 0
0 3 0
2 3 3
0 1 3
2 3 0
10 5
3 1 0
2 3 3
2 0 1
3 0 1
0 0 1
3 0 2
0 0 2
2 3 1
3 3 1
1 2 1
10 4
2 1 0
0 0 2
0 2 0
0 3 3
0 0 3
2 2 0
0 1 0
3 1 2
1 1 2
1 1 1
10 7
2 0 2
3 3 0
1 1 2
0 2 0
0 1 2
2 0 3
0 3 0
3 2 3
3 2 1
0 3 1
10 5
2 2 0
1 2 0
2 0 1
1 0 2
1 2 1
0 2 1
2 2 2
1 1 1
2 2 1
1 0 0
10 6
1 2 2
2 2 2
1 1 2
0 0 1
1 1 0
1 0 2
0 1 0
1 1 1
0 2 2
2 1 1
10 9
3 3 0
1 0 0
3 0 3
3 1 2
2 0 2
0 0 1
1 0 1
2 3 0
0 1 2
0 1 0
10 6
2 0 0
1 2 2
0 2 2
0 2 0
0 0 2
2 1 1
0 2 1
0 0 1
1 0 0
0 0 0
10 7
2 3 0
3 1 3
3 0 0
3 2 3
0 0 2
2 0 2
1 3 0
1 1 0
2 1 0
1 0 2
10 4
2 3 2
0 0 0
2 1 0
1 1 1
0 2 2
3 3 0
3 1 2
1 3 3
3 3 2
3 1 0
10 5
2 3 0
1 1 1
0 1 2
2 1 1
0 3 0
1 3 3
0 3 1
0 1 0
1 1 3
2 0 2
10 5
0 0 0
1 1 2
0 1 3
2 1 2
3 0 0
2 2 0
1 1 1
3 2 3
0 3 2
1 3 3
10 2
1 2 0
0 0 1
0 0 0
0 1 0
2 1 0
2 2 1
0 0 2
0 2 0
0 2 1
0 1 1
10 3
2 0 2
2 1 1
2 2 1
0 2 0
2 0 1
0 2 1
0 0 0
1 2 2
0 1 2
1 0 1
10 7
3 3 3
3 1 1
1 0 0
2 1 3
0 1 1
3 2 3
2 1 0
0 0 0
1 1 0
0 3 2
10 3
3 2 1
1 1 2
0 2 2
0 0 2
2 3 2
0 2 3
2 3 3
1 2 1
0 0 0
3 3 0
10 7
2 2 0
1 2 0
1 1 0
2 1 2
2 1 1
2 2 1
0 1 2
1 2 2
0 2 2
0 2 1
10 6
1 0 3
0 0 0
2 0 3
0 0 3
1 3 0
2 2 2
2 1 1
3 2 1
0 1 2
0 3 0
10 8
1 1 3
0 1 0
1 0 0
1 0 3
3 0 2
2 3 3
3 0 0
0 2 0
1 2 3
3 0 1
10 8
0 0 1
2 2 2
2 1 3
3 0 1
3 1 1
0 1 1
1 2 1
1 3 1
0 3 2
0 0 2
10 4
1 2 0
0 0 0
2 0 1
2 2 2
2 0 2
0 0 2
1 1 1
1 1 2
1 2 1
2 0 0
10 9
1 0 2
0 2 3
3 3 2
3 3 3
0 0 0
3 3 1
3 2 3
0 2 1
2 0 2
1 2 3
10 6
0 0 0
1 0 0
1 1 2
2 0 0
0 2 2
2 0 2
0 1 0
0 2 1
1 0 2
2 1 2
10 9
3 3 3
3 1 3
3 2 2
1 1 0
2 2 0
3 0 2
0 1 2
3 1 0
3 3 0
2 2 2
10 3
2 1 2
2 2 1
0 0 1
1 0 1
2 1 1
2 1 0
1 2 1
0 2 1
0 1 0
2 2 2
10 4
0 1 2
0 3 1
2 3 2
2 2 2
1 0 3
3 2 0
2 1 3
1 2 3
3 0 0
3 3 3
10 6
2 2 2
0 2 1
0 3 0
1 1 3
2 0 0
3 0 2
0 2 3
3 2 3
1 3 3
0 0 2
10 3
2 0 3
0 1 3
0 1 2
1 1 0
0 2 0
2 0 2
2 3 2
0 3 3
0 2 2
0 0 3
10 7
1 3 3
0 3 1
3 0 2
2 0 1
1 2 1
1 3 0
1 2 2
0 1 1
3 0 0
0 3 0
10 4
0 2 2
2 0 1
0 0 0
1 0 0
1 1 2
1 0 2
0 2 0
0 0 2
2 0 0
0 1 0
10 2
0 2 2
2 0 3
3 2 1
0 2 1
1 0 0
1 3 1
3 1 2
1 0 2
2 2 0
0 1 0
10 8
3 3 2
2 3 0
3 3 1
1 2 3
1 0 0
0 3 0
1 3 0
1 0 1
0 2 2
3 1 3
10 9
3 2 3
1 0 2
0 1 2
0 2 0
0 2 3
1 2 1
1 3 0
3 0 3
0 1 1
2 0 0
10 5
0 1 0
1 1 2
0 0 2
2 1 0
2 0 2
1 2 2
0 2 2
1 0 0
2 0 1
1 2 1
10 8
0 2 2
3 3 1
0 0 2
3 3 0
3 1 1
1 0 2
0 0 3
3 2 3
3 0 2
1 3 2
10 3
0 1 1
2 2 1
3 1 0
3 1 2
2 1 2
3 2 3
1 0 0
0 1 2
2 3 2
0 1 0
10 2
0 0 0
2 1 2
0 1 0
1 1 2
2 2 1
1 1 1
0 1 1
2 0 2
1 2 1
0 2 1
10 5
1 1 0
0 2 2
1 1 2
2 2 2
2 0 0
1 0 0
2 0 1
0 0 0
1 0 1
1 2 2
10 4
3 0 2
2 0 0
3 3 1
2 2 2
2 2 3
1 3 3
3 1 2
0 1 1
3 2 0
0 3 2
10 9
0 2 0
0 0 1
1 1 2
1 1 0
0 1 0
2 0 0
2 1 0
2 0 2
2 1 1
1 0 0
10 9
0 0 1
1 0 2
0 2 2
2 1 1
1 1 0
2 1 2
1 2 0
1 1 1
1 0 0
0 0 0
10 7
1 2 0
2 2 1
2 0 1
1 1 0
1 1 2
0 0 0
0 0 1
0 2 2
1 2 2
2 1 1
10 7
1 2 2
0 0 2
2 0 1
1 0 2
0 2 0
0 1 2
1 1 2
2 0 0
0 0 0
0 0 1
10 3
2 0 0
3 1 0
0 2 0
2 2 2
2 1 0
3 1 3
1 0 3
3 2 2
1 2 1
3 1 1
10 2
2 1 1
0 0 3
0 0 0
1 1 1
3 2 2
2 2 0
2 1 2
0 3 3
0 2 2
1 2 1
10 9
2 2 1
2 3 3
2 0 2
0 2 2
1 1 3
1 3 1
3 0 2
2 3 2
0 3 2
3 1 1
10 5
0 0 0
0 2 1
0 2 2
0 2 0
1 2 0
2 2 1
2 1 2
2 1 1
1 0 0
0 1 1
10 4
2 1 3
2 1 0
1 0 0
1 3 2
0 1 1
0 2 3
0 0 2
3 2 0
0 2 2
1 2 1
10 7
1 1 1
0 0 0
0 3 1
1 3 3
1 1 0
3 0 3
0 0 1
3 3 2
0 1 2
3 2 2
10 6
0 0 3
2 2 0
2 3 1
3 1 0
1 2 3
3 2 1
1 0 0
3 1 2
3 3 0
2 0 3
10 8
3 1 3
0 0 2
0 1 0
0 3 0
3 3 3
3 0 2
2 2 0
0 0 0
1 2 2
2 1 0
10 9
2 2 0
2 0 2
0 1 0
2 2 2
2 1 2
1 0 1
0 0 0
0 1 2
1 2 2
0 2 1
10 9
2 0 2
0 2 1
2 1 0
1 0 0
0 0 0
0 1 1
0 0 1
2 2 0
0 1 2
2 0 0
10 7
2 1 0
2 1 1
1 1 2
1 1 0
0 1 2
2 0 0
2 0 1
2 0 2
1 1 1
0 0 1
10 7
1 0 1
2 1 1
3 3 1
1 2 1
3 3 0
0 1 2
1 3 1
1 0 2
1 0 3
1 1 2
10 7
3 2 3
2 1 1
1 2 2
2 2 2
0 2 3
0 1 0
1 2 3
2 0 1
3 2 2
3 2 1
10 9
1 0 2
1 2 0
1 2 1
0 0 2
2 1 1
1 0 0
2 0 1
1 1 0
0 1 2
2 0 0
10 8
1 0 3
1 0 2
3 2 3
1 1 3
3 0 2
0 2 1
0 3 2
3 1 3
1 2 2
0 0 1
10 8
0 1 2
1 0 0
1 1 0
1 2 0
1 2 2
1 0 1
0 2 2
2 0 2
2 1 2
0 1 0
10 3
0 0 1
3 3 0
1 2 3
2 1 3
3 3 3
1 1 1
0 3 0
1 3 2
3 0 3
2 1 0
10 6
0 1 1
2 2 0
1 0 0
1 0 1
2 0 2
1 2 1
2 0 0
0 1 2
0 0 2
0 0 1
10 5
1 0 0
2 2 1
2 0 0
0 1 0
1 1 2
1 2 1
1 1 1
2 1 1
0 1 1
0 2 0
10 7
0 2 0
0 1 1
1 3 1
0 0 2
1 3 0
3 1 0
0 1 3
2 3 0
2 2 3
2 1 3
10 9
0 2 2
0 1 2
2 1 1
0 1 1
1 0 0
1 2 1
1 1 0
1 1 2
2 2 0
0 0 1
10 2
1 2 1
3 1 3
1 3 1
1 3 2
3 1 1
3 1 0
0 0 1
3 2 0
2 0 0
1 3 3
10 4
3 3 0
2 2 0
0 0 3
0 3 0
3 1 1
3 3 1
1 1 3
3 2 2
0 1 1
0 2 2
10 8
1 2 0
2 2 0
1 0 2
0 2 2
1 1 2
0 2 1
1 0 1
2 2 1
1 0 0
0 0 0
10 9
3 2 1
2 1 0
0 1 2
1 0 1
1 1 0
0 1 1
1 0 3
3 3 3
1 3 3
0 3 3
10 4
2 0 1
1 0 0
0 1 3
2 2 0
0 3 0
0 0 0
2 1 2
2 0 3
3 2 3
0 3 3
10 2
2 0 2
2 1 0
0 2 1
0 0 1
2 1 1
0 0 0
1 1 1
1 0 1
1 2 2
1 2 1
10 7
3 0 2
3 0 1
1 2 2
1 0 3
2 3 0
3 3 3
2 1 3
1 1 0
2 3 1
3 2 2
10 9
1 2 2
0 0 1
2 2 0
0 0 0
1 0 1
1 0 0
2 0 2
2 0 1
1 1 1
0 1 1
10 5
0 0 2
0 2 2
1 0 0
2 2 0
2 0 2
0 1 1
0 1 0
1 2 0
0 2 0
0 2 1
10 8
2 2 1
1 2 0
2 2 2
0 0 2
1 2 2
1 1 0
2 0 0
1 0 2
1 0 0
2 0 1
10 5
1 1 1
1 2 0
0 0 3
0 2 0
3 3 3
3 2 2
2 1 1
0 3 0
0 0 2
3 2 3
10 3
3 2 1
0 0 2
1 2 1
2 1 0
0 2 1
1 3 3
3 2 0
1 3 0
0 2 2
1 2 2
10 9
0 0 0
2 1 0
3 2 0
3 1 1
3 2 3
1 0 1
2 0 2
1 3 2
0 2 0
1 0 2
10 4
0 3 0
1 1 1
3 2 2
2 1 3
1 0 3
0 2 2
1 0 2
3 2 1
0 2 1
1 3 3
10 8
0 1 0
0 2 0
0 2 2
2 2 2
1 1 0
1 2 0
2 1 0
0 0 0
0 0 1
1 0 0
10 9
0 2 1
0 3 1
3 2 3
0 3 2
3 0 0
3 3 1
1 2 3
1 2 1
1 1 0
2 1 1
10 2
2 2 1
2 2 0
3 1 0
0 1 0
2 1 3
1 0 1
0 1 1
0 2 1
0 1 2
0 2 3
10 8
0 1 1
0 0 1
1 2 2
1 2 1
2 1 1
0 1 0
1 0 1
0 1 2
2 0 0
2 2 1
10 8
2 0 3
0 0 2
1 3 1
1 0 0
3 3 2
2 3 2
0 3 0
3 2 1
1 3 2
3 3 3
10 7
2 2 0
2 2 1
0 0 2
1 0 0
1 2 0
2 1 0
1 0 1
1 1 2
0 2 0
1 2 2
10 8
0 0 2
2 3 3
3 3 1
2 1 1
2 0 1
0 3 0
0 2 1
1 3 0
2 1 0
1 0 2
10 4
0 1 1
2 2 2
0 0 0
2 0 2
2 1 1
1 0 0
1 0 1
1 2 2
1 0 2
2 1 2
10 3
2 1 1
1 2 2
2 2 1
1 0 2
2 2 2
2 1 0
1 1 1
2 2 0
0 0 0
0 1 0
10 8
2 1 3
1 0 2
0 0 2
1 2 1
3 3 0
0 3 2
2 3 1
1 1 1
1 2 2
2 0 2
10 6
2 2 3
0 3 0
2 1 3
2 2 2
3 1 0
3 1 1
2 1 0
2 3 1
2 0 0
3 0 2
10 3
3 2 3
2 1 1
1 1 1
3 2 2
1 1 2
2 0 1
3 1 3
2 2 0
1 1 0
0 3 0
10 5
0 1 0
0 1 1
2 0 1
2 1 0
0 2 0
0 2 1
2 1 1
2 2 2
2 2 0
2 1 2
10 7
3 2 2
2 3 3
3 2 3
3 0 1
1 0 3
3 1 1
1 2 3
2 3 2
0 0 3
1 3 1
10 3
2 2 2
0 0 2
1 1 0
2 1 0
1 2 2
0 0 1
0 1 0
1 2 0
2 0 1
0 2 0
10 3
1 3 2
3 3 0
2 2 3
2 0 0
2 3 1
3 0 0
2 2 0
0 1 1
2 1 1
1 3 3
10 5
1 1 1
1 0 2
1 1 2
0 2 0
0 1 1
1 0 1
1 0 0
1 1 0
2 0 0
2 2 1
10 7
3 0 0
3 1 3
3 0 1
0 1 3
2 2 1
3 0 3
1 0 3
1 3 2
2 0 0
0 2 1
10 2
0 2 2
0 0 2
2 2 1
0 0 1
2 0 2
0 2 0
1 1 1
0 1 0
1 1 2
2 2 2
10 3
2 2 2
1 2 0
2 1 2
0 2 2
1 1 0
0 1 1
0 0 2
2 1 1
1 1 2
0 2 1
10 4
2 2 1
1 3 3
3 3 1
3 0 3
3 0 1
1 2 2
0 2 1
3 3 0
0 3 1
2 0 2
10 4
0 3 3
1 1 1
1 3 2
3 3 3
3 2 0
1 0 2
2 1 2
2 3 3
2 3 1
1 2 1
10 2
1 1 1
1 2 1
2 0 0
0 1 0
0 2 2
0 2 0
1 1 2
0 2 1
1 0 0
2 2 1
10 6
0 3 3
1 3 2
3 0 0
2 1 3
0 3 2
0 1 3
2 3 2
3 2 0
1 1 3
0 3 0
10 3
3 1 3
0 2 1
3 1 0
3 2 0
3 3 3
0 2 3
2 2 0
1 3 1
3 3 1
1 1 2
10 5
1 3 2
3 0 0
3 1 3
2 3 0
1 0 1
3 0 2
0 1 3
3 0 1
1 2 0
0 2 3
10 4
0 0 2
2 0 0
2 1 1
2 1 2
2 2 2
2 2 1
1 0 1
2 2 0
0 0 1
1 0 0
10 8
2 0 0
1 1 2
0 0 2
2 1 0
0 1 0
0 2 0
2 0 1
2 2 1
2 0 2
2 2 0
10 9
1 0 2
2 1 0
1 1 2
0 3 1
2 2 2
2 1 1
0 1 2
3 2 1
1 3 2
1 3 0
10 5
2 2 3
2 2 2
3 3 0
3 3 1
1 3 1
0 0 3
0 3 3
3 2 1
1 1 1
1 0 2
10 6
0 0 1
1 0 0
2 2 1
2 2 2
0 2 1
0 0 0
0 2 2
0 1 1
0 2 0
1 0 1
10 2
1 1 1
2 2 2
1 1 2
0 1 1
1 0 0
2 1 2
1 2 1
0 2 2
0 2 1
2 2 0
10 6
0 3 3
3 1 0
2 0 0
2 1 3
0 1 0
3 1 2
3 2 3
2 2 2
0 1 2
0 0 0
10 3
3 1 3
0 0 2
2 3 0
0 0 3
0 1 1
0 1 0
1 2 0
2 0 1
3 3 2
3 0 1
10 4
1 1 1
2 2 0
2 2 1
1 0 2
2 0 1
0 0 2
2 1 0
1 0 0
1 2 2
0 2 1
10 2
0 0 0
1 2 1
1 2 0
0 1 1
2 1 1
0 1 2
0 0 1
0 0 2
2 2 0
1 0 1
10 5
1 2 0
2 3 1
0 2 2
2 1 2
0 0 0
0 2 3
2 0 2
0 0 1
2 2 2
3 3 0
10 2
0 1 2
0 2 0
1 2 0
1 2 2
2 2 0
0 0 0
2 0 1
2 0 0
1 2 1
2 1 1
10 8
0 0 2
2 1 0
0 2 0
2 1 2
1 2 1
1 1 0
1 0 2
2 2 1
1 2 2
2 2 2
10 8
1 2 1
2 1 2
1 1 0
1 2 0
2 2 1
0 2 1
0 0 2
0 1 1
1 0 0
0 1 2
10 4
2 1 0
1 0 0
0 1 1
1 1 0
1 1 1
2 0 0
2 2 0
2 2 2
1 1 2
1 0 1
10 4
2 0 1
3 0 1
0 1 0
1 1 1
1 3 2
1 0 2
3 0 2
3 3 0
0 2 2
2 2 3
10 5
0 3 0
1 1 2
3 3 3
1 2 2
3 1 3
2 3 1
1 2 3
2 0 1
2 0 2
1 1 1
10 2
1 0 2
2 0 0
1 0 0
1 1 1
2 1 1
1 1 2
0 2 2
0 2 0
1 0 1
2 1 0
10 9
0 2 1
0 0 1
1 1 2
2 1 1
1 1 1
1 0 2
0 0 2
2 0 2
1 2 1
2 2 2
10 9
1 1 0
2 3 0
1 1 1
1 3 0
3 3 1
3 1 1
2 2 2
0 0 3
2 2 3
1 3 1
10 2
0 1 0
2 0 1
1 2 2
2 1 0
1 1 1
0 0 0
0 0 1
0 2 2
1 0 1
0 1 1
10 2
1 0 0
0 2 0
2 0 2
2 2 0
1 0 2
2 1 1
2 1 2
0 2 1
1 1 2
1 1 0
10 3
2 1 2
1 0 1
1 1 2
2 2 0
2 1 1
2 0 2
0 1 1
1 0 0
2 2 1
1 0 2
10 7
2 0 0
0 1 2
2 1 2
0 0 0
1 1 0
1 0 0
0 2 0
1 2 1
1 2 0
2 1 1
10 8
0 0 1
1 1 1
2 1 3
1 1 0
0 3 3
2 3 0
1 0 2
2 1 1
2 1 2
1 0 0
10 5
2 2 2
1 1 1
0 2 2
2 2 1
2 2 0
1 1 0
0 2 1
0 1 0
2 0 0
1 1 2
10 9
2 2 3
2 3 1
2 2 2
0 1 1
2 0 1
3 2 3
1 2 0
3 1 3
0 0 0
1 0 3
10 3
0 0 2
1 1 2
3 0 0
2 0 3
3 0 1
0 1 2
1 3 3
0 0 1
1 0 1
1 1 1
10 9
3 1 1
2 2 1
2 0 3
3 3 1
0 2 1
2 0 1
0 2 2
1 2 3
0 3 1
0 3 0
10 2
2 0 2
2 0 0
2 2 1
0 1 1
0 2 1
0 0 2
1 2 1
0 0 1
1 1 0
2 1 1
10 8
2 0 2
0 3 3
3 1 3
3 1 1
2 3 0
0 2 1
3 1 0
0 1 0
0 3 2
1 0 2
10 6
2 2 1
2 0 2
0 1 0
0 2 1
0 2 2
1 1 1
1 2 1
2 0 0
1 2 2
0 0 0
10 8
0 2 0
2 0 2
1 0 0
0 2 2
2 1 2
1 1 1
0 0 1
1 0 2
2 2 1
2 0 1
10 9
0 3 2
1 2 1
2 1 3
1 3 3
3 1 1
0 2 2
3 1 0
2 2 2
2 1 0
2 2 3
10 6
2 1 3
2 0 1
3 0 2
0 1 1
1 3 3
1 2 2
0 3 3
1 1 0
2 2 3
1 3 2
10 5
0 2 2
1 0 0
0 0 2
0 1 2
0 2 0
1 2 0
1 1 1
1 0 1
0 2 1
1 1 0
10 9
1 1 0
2 0 0
0 1 1
0 0 2
1 0 0
1 2 2
2 1 1
2 2 2
0 1 2
0 2 0
10 6
1 0 0
2 0 0
2 2 1
0 0 0
2 2 0
2 1 1
0 0 1
1 0 2
1 1 1
2 0 1
10 5
2 2 0
2 2 3
1 2 2
1 0 1
3 2 3
3 1 1
2 1 0
1 3 1
2 3 1
3 1 0
10 8
2 1 2
1 1 0
2 1 1
2 2 1
1 2 0
0 0 3
3 0 3
1 3 1
1 0 0
3 0 1
10 4
2 0 2
0 2 0
3 2 3
1 0 2
3 3 2
2 3 3
0 3 3
1 0 3
2 2 3
3 2 2
10 2
1 2 0
2 0 1
1 0 1
0 0 0
0 1 0
1 1 0
1 0 2
0 0 2
2 2 1
0 1 2
10 9
0 1 2
2 2 0
1 1 1
1 2 2
0 0 2
1 1 2
1 0 0
1 0 1
0 0 1
0 2 0
10 5
1 2 2
1 2 0
1 1 2
2 1 1
2 1 0
0 0 1
1 1 0
2 0 0
2 0 1
0 2 0
10 9
1 2 1
0 0 2
1 2 0
1 1 2
0 1 2
1 1 0
0 0 0
2 2 2
2 1 1
2 0 0
10 2
0 1 0
0 1 3
0 3 3
2 0 0
0 2 3
0 2 1
1 1 0
3 3 2
2 1 2
2 3 3
10 8
3 0 0
1 0 2
0 3 2
2 0 1
0 1 1
2 1 0
2 3 2
3 3 2
3 2 0
0 3 3
10 2
0 1 2
2 2 1
0 0 1
0 2 0
0 1 1
0 2 1
2 0 2
1 2 1
2 0 0
1 1 0
10 7
2 3 2
2 1 3
1 1 0
1 0 2
1 2 1
2 0 0
3 3 0
0 0 3
2 1 2
0 1 0
10 6
2 1 3
1 0 3
2 2 3
0 1 3
3 3 1
1 3 2
2 0 3
0 1 0
3 0 0
1 2 0
10 8
2 2 0
1 0 0
1 2 2
3 2 2
1 1 0
1 0 2
2 3 1
3 0 0
0 3 0
1 1 2
10 2
3 0 3
3 3 3
0 0 1
0 2 0
1 0 2
1 1 0
0 3 0
0 1 2
3 2 3
2 2 3
10 5
0 0 0
1 0 1
1 1 2
0 2 2
2 1 0
2 2 2
0 1 2
0 1 0
1 2 2
1 2 1
10 3
2 1 0
2 1 2
1 1 0
0 2 0
2 2 0
1 2 2
2 0 2
1 1 2
1 0 1
2 0 1
10 5
0 1 0
1 1 0
2 0 0
0 2 0
0 0 2
1 0 1
2 1 1
1 1 2
2 1 2
0 2 1
10 2
0 0 1
1 0 1
1 1 1
0 0 2
2 0 0
1 2 0
0 2 2
1 2 1
2 0 2
1 0 2
10 5
0 1 2
0 0 0
1 2 1
2 0 2
0 2 2
1 1 1
2 0 0
1 0 2
2 2 2
0 2 1
10 2
1 1 0
0 1 2
0 1 0
2 1 2
1 2 0
2 1 0
2 2 0
0 2 1
1 2 1
0 1 1
10 8
1 1 2
1 0 1
2 0 2
0 0 0
2 0 1
2 2 0
1 2 0
1 0 2
2 1 0
2 1 1
10 9
0 1 0
1 1 0
2 0 1
1 2 0
2 0 0
0 1 2
2 2 2
0 2 0
0 0 0
0 1 1
10 5
0 0 1
0 2 2
2 0 2
2 1 0
1 0 2
0 2 1
1 1 1
1 1 0
2 0 1
2 1 2
10 9
3 0 0
3 1 3
2 2 0
3 0 3
1 3 2
0 3 1
0 0 0
0 2 1
2 1 3
0 1 1
10 3
0 1 0
3 1 2
1 2 2
1 0 1
3 3 0
3 2 3
0 0 2
2 0 3
3 2 1
2 2 1
10 4
0 1 0
1 2 2
1 0 2
2 0 2
1 1 1
0 2 0
0 0 1
2 1 0
2 0 0
0 0 0
10 7
0 1 3
3 3 0
3 2 2
2 0 1
0 1 1
0 3 1
3 1 2
3 0 1
2 3 3
3 0 3
10 9
3 0 3
1 0 3
0 3 3
2 0 1
2 1 1
0 3 2
0 1 3
3 1 1
1 2 3
0 1 2
10 7
3 1 1
3 2 0
3 0 2
1 2 3
2 1 3
3 3 3
2 3 2
3 0 3
0 0 0
3 1 2
10 4
2 1 2
1 0 2
0 2 1
0 0 1
2 0 1
2 2 0
1 1 1
2 0 0
0 1 2
0 1 0
10 2
0 1 0
0 0 1
0 0 0
0 0 2
2 0 2
2 2 0
1 1 0
1 0 1
0 1 2
0 2 0
10 5
0 2 1
0 1 2
1 1 2
0 0 1
2 2 1
0 2 0
2 2 0
1 2 1
2 1 1
1 0 2
10 5
0 2 3
0 3 1
3 2 2
0 2 1
0 1 3
1 1 3
0 1 1
1 3 3
2 1 1
2 3 2
10 4
0 3 0
2 0 2
1 3 2
0 1 2
1 1 2
3 1 1
1 3 1
3 3 2
3 0 1
3 0 2
10 7
2 0 2
0 1 1
3 3 1
2 2 3
2 3 2
1 1 1
3 1 3
3 3 2
3 0 0
2 0 3
10 8
0 1 0
2 2 1
0 0 3
2 3 0
3 0 3
3 0 2
0 1 2
2 0 1
2 3 3
0 0 2
10 5
3 1 0
3 2 3
2 2 1
0 0 1
1 2 1
1 1 3
2 1 3
1 3 3
1 1 0
1 0 3
10 2
0 2 1
2 0 1
1 1 2
2 2 0
0 0 1
1 2 2
1 2 1
0 1 1
1 1 1
2 2 1
10 6
0 2 1
1 2 0
0 2 2
0 1 2
1 1 1
1 0 2
1 0 0
0 1 1
0 0 0
2 2 0
10 9
0 2 2
1 0 2
1 1 1
0 2 0
3 1 3
0 0 0
2 1 0
3 2 1
1 3 0
3 1 1
10 2
1 0 1
2 2 3
0 3 0
1 2 0
2 3 2
2 3 1
1 1 0
0 1 1
3 0 2
1 3 0
10 9
2 2 0
1 1 0
3 3 1
3 0 0
1 0 1
1 2 2
3 2 0
3 3 3
3 0 2
0 0 1
10 2
2 2 0
2 1 0
2 0 0
1 1 2
0 1 0
0 2 1
2 0 2
0 2 2
2 1 1
0 2 0
10 7
1 1 2
2 0 2
1 0 0
1 1 0
2 2 2
2 1 0
0 2 1
0 1 1
0 0 2
0 2 0
10 5
3 2 0
0 3 3
2 1 3
3 2 1
0 1 1
1 1 1
1 1 3
2 2 1
2 0 0
1 0 2
10 7
3 3 1
3 1 2
0 1 1
1 2 1
2 0 2
0 3 2
2 1 1
3 1 1
0 0 2
1 3 1
10 6
0 3 1
0 2 1
1 0 3
0 1 1
3 1 2
1 2 2
1 2 3
3 2 3
2 3 0
1 3 3
10 2
1 0 2
1 1 0
0 0 2
0 1 1
1 0 1
0 0 0
2 1 1
0 1 2
2 2 2
0 0 1
10 4
3 3 0
2 1 3
2 0 0
1 1 3
3 1 1
0 2 0
1 3 3
3 1 2
3 1 3
3 0 2
10 8
3 3 0
2 2 0
2 1 2
3 1 0
3 0 1
3 3 1
2 3 0
3 1 1
1 2 0
3 1 2
10 6
2 2 2
2 0 1
0 0 1
1 0 1
1 0 2
2 1 2
0 1 2
0 0 0
1 2 1
0 2 0
10 7
2 3 2
1 2 2
3 2 1
2 2 2
2 0 3
3 0 2
0 0 1
1 3 2
2 2 1
2 3 3
10 8
2 0 2
0 2 0
0 2 2
1 2 1
2 1 0
0 1 1
0 1 0
1 0 1
2 1 2
0 2 1
10 6
0 3 0
0 1 3
0 3 2
3 0 3
2 0 2
1 0 2
2 2 0
1 1 2
1 3 3
0 3 1
10 7
0 2 0
0 1 0
1 2 1
1 1 1
2 0 1
2 0 0
0 2 2
2 1 2
2 1 0
1 1 0
10 8
0 0 3
0 3 1
3 1 3
0 1 3
3 2 0
2 3 0
3 1 0
0 0 0
0 0 2
2 1 3
10 7
1 3 3
1 1 2
1 0 2
1 3 0
1 1 0
3 0 1
3 3 1
3 0 0
0 0 1
0 0 2
10 8
0 0 1
2 2 1
0 2 1
0 2 0
1 0 2
2 0 0
1 1 0
1 1 1
1 0 1
0 0 0
10 3
0 2 0
0 0 1
1 0 2
0 2 2
0 0 0
1 0 0
1 1 2
1 1 1
2 1 0
1 0 1
10 2
1 0 1
1 0 0
1 1 0
0 2 1
1 0 2
0 2 2
2 1 0
0 1 0
2 2 0
2 0 2
10 3
1 2 1
2 2 2
0 3 2
3 1 0
3 0 0
1 0 0
1 1 3
3 3 1
2 2 1
3 1 2
10 4
0 1 1
3 1 1
2 2 0
3 0 2
3 3 0
0 1 2
1 0 2
3 2 0
1 3 1
0 0 3
10 3
1 3 3
2 2 0
1 2 2
2 3 3
0 1 0
2 0 2
1 2 0
2 1 1
2 3 1
1 0 1
10 7
3 2 1
3 0 3
1 1 0
3 1 2
1 1 3
3 1 1
2 0 1
2 2 1
0 0 3
0 1 0
10 2
0 2 2
2 1 0
1 1 1
2 1 2
1 1 2
1 1 0
2 2 2
1 2 1
0 2 0
1 0 1
10 8
2 1 2
1 1 3
1 0 2
0 1 1
3 0 3
2 2 0
1 2 0
0 3 1
0 3 0
2 3 2
10 9
0 3 0
2 3 1
1 3 0
2 1 3
1 2 3
3 3 0
3 0 1
2 1 0
1 3 1
1 2 2
10 3
3 1 0
0 0 2
2 2 1
2 1 0
3 2 3
2 3 2
2 3 0
2 3 3
3 3 3
0 1 0
10 9
3 0 3
1 0 2
0 0 0
0 2 3
2 0 1
2 3 0
3 1 2
2 2 3
3 1 3
3 2 3
10 8
2 2 2
2 1 2
0 1 0
2 1 0
2 2 1
2 0 2
1 0 0
0 0 0
1 2 0
0 2 0
10 9
1 2 1
2 1 0
0 0 2
1 0 0
2 2 0
1 2 2
1 1 1
0 0 0
1 1 2
2 2 2
10 4
0 0 3
0 3 1
1 1 0
3 0 3
3 0 1
1 2 2
3 1 0
0 1 2
0 3 0
3 3 3
10 4
2 2 0
2 1 3
2 0 1
1 3 1
1 0 1
2 0 2
2 2 1
0 3 3
3 3 3
2 0 3
10 2
0 1 2
0 0 0
1 0 2
1 2 0
1 0 1
0 1 0
0 2 2
0 1 1
2 2 0
1 2 2
10 4
3 3 0
1 2 0
0 0 1
1 2 1
2 0 2
0 1 2
3 2 3
2 0 1
2 2 2
1 3 1
10 8
2 1 1
0 1 2
0 0 1
2 1 2
0 0 2
2 0 0
1 0 0
2 2 2
0 1 1
1 1 2
10 7
1 2 0
0 1 0
2 3 2
1 3 0
0 2 2
1 1 3
1 2 3
3 1 3
2 2 2
2 0 2
10 6
3 2 1
2 1 0
2 3 0
1 3 3
2 2 0
2 3 1
3 1 3
2 0 3
0 0 2
0 3 2
10 6
1 3 2
3 1 1
2 2 1
2 3 0
3 3 1
3 2 1
1 3 0
0 2 1
0 0 3
0 0 0
10 8
1 2 0
2 1 1
1 1 1
0 1 1
0 0 0
2 2 1
2 1 0
1 1 2
2 0 2
0 0 1
10 3
2 0 0
1 2 1
0 0 0
2 2 1
2 2 0
1 1 0
2 1 1
1 1 1
1 2 2
1 0 2
10 9
1 1 1
0 0 1
1 0 1
2 2 1
2 1 2
2 1 0
1 3 1
0 1 1
1 3 3
0 2 2
10 8
2 3 2
3 2 1
1 2 0
3 3 0
1 1 0
0 1 1
3 0 2
3 2 3
3 1 1
1 2 1
10 2
1 3 3
2 0 0
1 3 2
0 1 0
3 2 0
2 0 3
2 2 0
0 3 3
0 2 2
0 3 2
10 8
2 2 0
2 2 2
2 2 1
0 1 1
0 0 1
2 1 1
0 2 0
2 0 1
0 2 1
2 1 0
10 4
0 1 0
1 1 0
2 3 3
2 1 0
2 2 0
3 3 2
2 3 1
3 0 3
0 0 1
3 1 2
10 9
1 1 1
1 0 2
0 2 0
0 1 1
0 1 0
1 2 1
0 0 2
2 1 2
2 0 1
2 2 2
10 2
3 3 1
3 0 2
1 1 0
1 3 3
2 0 1
1 3 1
0 3 1
3 3 3
1 2 3
1 2 0
10 3
0 2 1
2 1 0
0 0 1
0 2 0
2 2 1
2 2 2
0 1 1
2 0 0
0 1 2
0 0 2
10 8
0 0 0
0 2 1
0 0 2
2 0 2
2 0 0
1 1 1
0 1 1
0 2 2
0 1 0
1 0 0
10 3
1 0 2
0 2 1
1 3 3
2 2 3
1 3 0
0 0 1
3 2 3
3 0 2
0 0 0
1 1 1
10 6
2 3 0
3 1 0
3 3 1
1 0 1
1 1 1
1 2 2
3 1 3
2 1 2
0 1 0
2 0 1
10 2
1 2 1
2 0 1
1 0 2
0 0 1
0 1 1
0 0 2
1 2 0
1 0 0
0 2 2
2 2 2
10 5
3 0 3
1 0 1
3 0 1
0 1 2
1 1 0
3 3 0
2 1 2
2 3 0
1 2 0
3 2 3
10 8
2 2 3
2 3 2
0 3 0
0 0 3
2 2 1
1 3 3
1 2 3
0 0 0
2 1 3
2 3 1
10 9
0 2 1
2 0 1
2 2 2
1 2 2
0 0 0
1 2 0
0 1 2
1 1 2
0 2 2
2 1 0
10 7
3 3 1
1 0 3
1 0 1
1 2 3
0 3 3
0 2 1
1 1 1
2 1 2
2 1 3
3 0 2
10 5
0 2 0
2 2 2
1 0 1
0 0 1
0 0 0
0 1 0
0 0 2
1 0 2
0 1 2
2 0 2
10 4
1 2 2
0 1 2
3 3 1
0 2 2
3 2 2
3 0 0
1 3 0
3 0 2
0 2 1
3 1 0
10 7
2 0 2
1 2 1
3 0 0
3 0 2
3 2 0
2 3 3
0 0 2
1 2 0
0 1 0
2 2 0
10 4
1 2 1
1 2 2
0 1 1
0 1 2
2 0 0
2 2 1
2 0 1
2 1 2
0 1 0
0 0 2
10 8
2 1 2
2 0 2
0 1 0
1 0 2
1 2 2
0 2 2
1 1 0
1 2 1
1 1 2
0 0 0
10 6
1 1 0
1 1 1
0 0 1
2 2 0
2 0 0
1 1 2
1 0 2
0 1 0
0 2 1
1 2 0
10 6
0 1 1
2 1 2
0 2 2
2 2 2
2 0 1
2 2 1
0 1 0
2 1 0
0 2 0
1 0 2
10 6
0 2 2
0 1 0
1 2 2
0 0 0
1 1 1
0 0 1
2 1 2
0 1 1
2 1 1
1 0 1
10 2
2 1 2
1 0 1
0 0 1
2 1 0
2 2 0
0 2 2
2 0 0
1 2 0
0 1 0
0 1 1
10 6
0 2 2
2 1 0
3 0 2
2 0 0
3 1 2
1 1 3
1 0 3
1 1 2
2 2 0
2 1 3
10 8
2 2 1
1 1 1
1 3 0
2 3 2
3 2 3
1 0 0
0 0 3
2 0 0
0 1 2
0 0 2
10 8
1 2 1
0 0 1
3 0 0
3 2 2
2 2 3
0 2 0
0 3 1
2 3 2
2 0 1
2 3 3
10 3
3 2 1
3 0 1
2 2 3
0 3 2
1 0 0
1 1 1
2 0 1
2 3 2
1 0 3
2 0 2
10 6
3 0 3
0 1 1
2 1 2
1 2 3
3 0 2
2 2 1
2 1 3
1 0 1
0 0 3
0 2 3
10 3
3 3 3
3 2 0
3 2 2
2 0 2
1 1 1
0 1 2
2 3 1
1 0 1
2 3 3
1 0 0
10 5
2 0 2
1 2 1
1 1 0
2 1 0
0 2 2
1 0 0
2 0 1
1 1 1
0 0 2
0 1 0
10 4
0 0 0
0 2 1
2 0 1
0 0 1
1 1 0
2 1 2
2 0 2
1 2 0
1 1 2
1 2 1
10 7
0 0 1
2 0 0
1 2 2
2 0 1
2 1 0
0 2 1
0 1 0
0 1 2
2 2 0
0 0 0
10 6
0 0 0
1 3 0
2 3 0
0 2 0
0 3 2
3 0 0
0 0 1
2 1 3
1 1 0
0 2 1
10 3
3 1 2
0 2 1
2 0 0
0 3 1
3 3 2
3 3 1
2 0 2
1 3 3
2 2 3
0 1 2
10 2
1 1 2
1 2 2
0 2 0
3 2 3
2 0 0
2 1 1
3 0 1
1 0 3
0 3 2
2 0 1
10 9
1 0 2
2 2 1
3 1 0
1 1 0
3 0 3
2 3 1
2 2 2
0 1 3
0 1 0
3 3 3
10 2
2 0 2
2 1 2
0 2 0
0 1 1
1 1 0
1 2 0
0 0 0
2 1 1
1 0 2
2 0 1
10 7
2 1 0
1 0 2
1 1 1
2 2 2
0 0 2
0 0 1
0 2 0
1 1 0
2 1 1
1 1 2
10 4
1 2 3
1 2 0
2 1 2
3 3 1
2 1 0
0 2 0
3 3 2
2 3 3
1 1 0
3 2 2
10 4
1 0 0
2 2 0
2 0 2
2 0 0
0 1 0
1 2 0
2 2 2
1 1 0
0 0 0
0 2 0
10 6
0 0 2
3 1 2
0 3 1
2 3 2
1 3 3
0 3 0
0 1 1
2 2 0
2 1 3
1 1 2
10 8
2 1 2
0 2 2
2 3 1
2 0 1
3 0 1
2 2 0
0 1 3
0 0 1
0 2 3
2 0 2
10 3
2 1 0
0 0 3
1 3 0
3 2 2
3 3 1
2 1 1
1 0 2
3 2 3
2 0 2
3 0 0
10 6
0 0 2
1 1 1
1 1 0
0 3 0
3 1 1
2 0 3
2 2 0
2 3 0
0 0 0
1 2 0
10 6
0 1 0
2 1 1
1 1 1
2 0 2
1 0 0
1 0 2
0 0 1
0 0 0
0 1 1
2 0 0
10 9
3 1 0
0 1 2
1 1 0
0 2 0
0 0 3
1 0 0
0 3 0
1 2 2
3 2 0
1 2 3
10 7
2 1 3
3 1 3
1 1 3
3 2 0
0 2 1
1 0 1
3 3 3
1 3 1
0 3 2
1 1 0
10 6
1 2 3
1 0 1
1 1 0
2 3 3
0 0 0
2 2 1
2 0 2
1 3 3
1 3 2
0 3 1
10 6
2 1 0
0 0 2
2 0 1
2 2 2
0 1 2
2 2 1
0 0 1
2 1 2
1 2 2
1 0 0
10 5
0 1 1
1 2 0
2 2 1
1 0 0
2 1 2
0 0 2
1 1 1
0 2 0
0 0 0
2 1 1
10 3
2 2 1
1 1 3
0 1 3
2 1 3
3 3 3
3 0 0
3 2 1
0 2 1
0 3 1
1 1 1
10 2
1 2 1
0 0 1
2 2 1
0 0 0
2 0 2
0 2 0
0 2 1
1 0 0
1 1 1
2 1 0
10 8
0 1 1
0 3 3
2 3 1
0 1 3
1 1 1
0 0 1
0 2 3
2 3 3
1 1 0
3 0 0
10 8
0 2 0
1 2 2
2 2 2
1 0 2
1 0 1
2 1 2
1 2 0
1 2 1
2 0 2
0 1 0
10 7
0 1 0
1 0 2
2 1 2
1 1 0
1 2 1
1 1 2
2 0 1
1 0 1
2 2 0
2 2 2
10 7
2 2 1
1 0 0
2 0 1
1 0 1
2 1 2
0 2 1
2 2 2
0 1 1
1 0 2
1 1 1
10 9
1 3 2
2 3 0
0 2 0
1 1 3
2 3 3
3 2 2
3 3 2
1 0 3
1 2 2
2 0 3
10 6
3 3 1
3 1 3
1 0 0
2 2 2
1 2 2
3 0 3
1 3 1
3 0 1
3 3 2
2 2 0
10 3
1 0 0
3 0 0
0 0 0
2 2 0
1 0 3
0 0 1
0 2 0
0 2 2
2 2 3
3 0 3
10 6
1 2 0
2 0 0
2 1 2
2 0 2
0 2 1
0 0 1
0 0 2
1 1 2
1 0 1
0 1 0
10 4
0 1 0
1 0 0
2 1 2
1 0 2
1 1 1
2 2 0
0 2 0
2 1 0
0 2 2
0 0 1
10 4
2 2 1
0 0 1
2 0 2
2 1 2
1 0 1
1 2 0
0 1 0
0 2 0
1 0 0
0 1 2
10 7
0 2 1
1 2 1
0 1 0
1 1 2
1 0 1
0 0 1
1 0 0
0 2 0
2 2 0
1 1 0
10 9
0 1 1
1 2 2
2 2 3
0 2 1
0 1 2
3 1 2
1 1 0
3 1 1
2 3 1
1 0 0
10 7
1 0 1
2 0 1
1 2 1
1 3 3
0 0 3
2 0 2
1 1 1
0 1 3
3 1 1
3 2 1
10 2
3 3 0
3 0 1
2 2 2
0 1 2
0 3 0
3 2 0
0 0 0
3 3 2
1 0 3
1 3 2
10 9
2 0 1
0 3 2
3 0 1
3 2 0
2 1 3
0 2 2
1 1 1
3 2 3
3 2 2
0 1 3
10 2
1 3 1
3 2 3
3 0 0
0 0 0
1 1 0
0 2 1
0 3 2
2 1 0
2 0 2
2 1 3
10 8
0 0 1
1 0 2
2 0 1
0 2 2
2 1 1
1 1 2
2 1 2
2 0 2
1 0 1
0 2 1
10 5
2 3 1
0 3 0
0 0 1
0 3 1
0 1 2
1 3 3
2 1 1
1 0 3
1 1 3
2 1 0
10 3
0 3 0
3 1 2
2 0 1
1 2 2
1 0 0
3 2 3
2 2 3
3 3 1
0 1 1
2 3 3
10 7
2 0 3
1 2 0
0 2 3
1 3 3
0 1 2
1 3 1
2 0 2
2 2 3
3 1 1
0 0 3
10 2
0 0 1
2 0 2
2 3 1
3 3 2
3 2 0
0 3 0
2 0 0
0 2 0
1 1 0
3 3 1
10 3
3 0 0
3 0 2
0 1 0
0 1 3
3 0 3
0 0 1
0 2 3
2 1 0
1 1 0
2 1 3
10 7
1 1 2
0 2 0
1 0 0
0 1 0
0 2 1
1 0 2
1 1 1
1 2 2
0 0 1
1 2 1
10 7
0 1 1
0 0 0
1 0 2
2 2 0
0 0 2
1 0 1
1 2 2
1 2 1
1 1 2
0 2 1
10 2
1 0 2
2 0 1
1 2 2
2 1 2
2 0 0
0 2 2
2 1 1
0 2 1
1 1 0
1 0 1
10 3
1 1 1
2 0 0
0 0 2
1 0 1
2 1 1
1 0 2
2 1 2
0 2 0
1 1 2
0 2 2
10 3
0 1 2
0 0 1
2 2 1
0 0 2
1 0 1
1 1 2
2 2 0
2 1 1
2 0 1
0 2 0
10 2
2 0 0
0 1 0
2 1 2
1 0 2
2 1 1
1 0 1
2 0 2
2 1 0
0 0 1
1 2 2
10 6
1 3 0
3 2 2
3 3 1
1 1 3
0 2 0
2 2 0
3 3 2
2 2 3
1 1 0
0 3 3
10 3
0 3 3
1 0 1
0 2 0
0 1 1
2 2 1
2 1 3
1 2 1
2 3 2
1 0 3
2 2 3
10 5
3 0 1
1 0 2
0 2 3
3 0 2
2 1 1
2 1 3
0 0 1
0 3 1
1 2 0
0 3 3
10 4
2 1 0
2 2 0
0 0 2
1 2 0
0 2 2
2 0 2
2 1 2
2 2 1
0 2 0
1 1 1
10 3
1 3 2
1 2 0
0 3 0
2 3 0
3 3 2
0 0 1
2 1 3
0 3 2
0 2 0
3 3 1
10 4
0 2 2
1 1 2
2 1 0
2 0 2
1 2 2
0 2 0
0 0 2
2 0 1
1 2 0
1 1 0
10 6
3 1 3
3 0 3
2 1 1
2 2 1
3 0 0
0 1 2
2 3 1
3 1 1
1 0 2
1 2 0
10 3
2 0 0
0 0 2
1 0 1
0 1 2
2 2 2
1 2 1
1 0 0
2 1 2
1 2 2
1 1 0
10 5
0 0 0
1 2 0
1 2 1
2 0 0
2 1 0
1 0 0
0 1 2
2 1 2
2 0 2
1 1 2
10 2
2 2 0
1 1 2
2 1 0
0 2 0
1 0 2
0 2 1
0 2 2
2 0 1
0 0 1
2 2 1
10 8
3 2 3
2 3 1
0 1 3
1 2 1
1 3 2
2 3 3
1 3 3
2 1 1
1 0 3
3 2 1
10 2
3 1 2
1 3 1
0 1 3
3 2 0
2 2 3
3 2 3
1 1 3
0 1 2
3 2 2
3 3 0
10 2
0 2 1
2 0 2
2 3 0
3 1 1
1 2 3
2 2 3
1 0 1
3 3 3
3 0 2
3 2 1
10 6
0 1 1
0 2 1
1 2 1
1 0 1
2 1 0
0 2 2
1 1 0
0 2 0
0 0 0
1 0 0
10 7
1 2 0
1 2 2
0 2 1
2 2 0
1 0 0
0 0 1
1 1 2
0 0 2
0 1 1
2 1 2
10 5
1 1 1
0 1 2
2 1 2
2 2 0
2 0 0
0 1 0
2 1 1
2 0 1
2 2 2
2 2 1
10 2
0 3 0
1 2 1
0 2 2
3 3 2
1 3 3
3 0 1
3 2 2
2 3 0
1 1 1
1 0 3
10 3
0 1 0
2 0 0
2 1 2
1 0 2
1 2 1
1 2 0
0 0 1
0 2 0
0 0 2
2 2 2
10 6
1 1 0
1 2 0
2 2 1
2 0 1
0 0 0
2 0 2
0 2 2
0 1 1
1 1 1
1 0 0
10 3
2 2 2
1 0 0
0 0 1
1 2 2
1 1 0
2 0 0
1 1 1
2 0 2
1 0 1
2 1 0
10 7
2 2 2
1 0 0
2 0 2
1 1 0
1 1 2
1 2 1
0 0 0
0 1 2
0 2 2
2 1 1
10 5
3 2 2
1 1 2
2 0 2
0 0 0
1 0 2
2 3 3
2 1 0
0 1 2
3 3 0
2 3 0
10 2
0 0 2
0 2 1
2 0 2
1 2 2
1 1 2
1 0 2
2 1 1
2 0 0
0 0 0
1 1 1
10 2
3 3 3
2 0 2
2 2 1
1 1 2
2 3 2
2 0 1
1 3 1
3 3 2
1 0 0
3 2 3
10 6
0 1 1
0 0 1
1 0 0
1 2 2
2 1 0
2 2 1
0 2 0
1 2 1
1 2 0
0 2 2
10 7
2 2 2
0 1 2
1 3 3
3 1 1
1 3 2
1 0 2
0 1 0
2 0 3
3 0 3
3 2 0
10 7
2 0 1
2 1 0
2 1 1
1 0 0
0 0 0
0 2 1
0 2 0
0 1 1
1 2 1
2 2 2
10 4
2 3 0
2 1 1
3 1 1
2 3 1
2 2 3
2 2 1
0 0 0
2 0 3
3 3 1
1 1 3
10 4
2 1 2
1 0 1
0 0 0
2 1 0
1 1 2
0 2 1
2 0 0
0 2 0
1 2 2
2 1 1
10 9
1 0 0
2 0 0
0 0 1
1 1 0
2 1 0
0 2 1
2 2 1
0 0 2
2 1 1
0 2 0
10 9
1 2 0
0 2 2
1 2 2
2 2 2
0 0 1
1 1 1
0 0 0
1 0 2
2 1 0
1 0 0
10 5
1 0 1
1 3 0
0 0 0
0 3 1
2 2 0
1 0 0
3 0 1
0 1 0
0 3 2
0 3 0
10 7
2 0 1
2 2 2
1 0 1
0 2 2
2 1 1
0 0 2
1 2 2
1 2 0
1 2 1
2 1 0
10 3
1 1 2
1 1 1
2 2 1
2 3 1
3 2 1
2 0 2
0 1 0
0 0 2
0 1 3
1 3 1
10 2
2 2 0
2 1 2
0 0 2
0 0 1
0 1 2
2 0 2
0 0 0
0 1 0
0 2 1
2 2 2
10 5
2 1 2
1 2 0
2 2 2
0 2 2
2 0 2
1 0 1
0 1 2
1 0 2
2 2 0
2 1 0
10 7
1 0 0
2 1 0
0 2 1
0 0 2
1 2 2
2 1 1
0 1 0
1 0 2
2 0 2
1 1 0
10 9
1 2 1
2 1 2
2 0 1
1 0 1
0 0 0
0 2 0
2 2 1
2 1 0
0 1 1
1 1 0
10 4
0 0 1
2 2 1
1 1 2
1 2 0
1 1 0
0 1 2
2 0 0
1 0 1
0 2 0
0 2 1
10 6
3 0 2
0 3 1
1 0 1
1 3 2
0 1 0
3 2 0
0 2 0
0 2 3
0 3 0
1 2 2
10 9
1 2 2
1 3 1
1 3 3
3 3 1
1 0 3
0 3 0
3 2 3
3 0 2
3 0 0
0 2 0
10 4
3 3 1
3 1 1
1 0 2
1 3 1
3 2 0
3 0 2
0 3 1
0 0 0
1 1 1
1 3 0
10 2
2 0 1
0 2 1
0 1 1
1 2 2
2 1 0
0 1 0
1 2 0
0 2 2
1 1 2
0 0 1
10 5
0 2 0
0 1 0
0 0 1
1 2 2
2 0 0
1 1 0
2 1 0
1 2 0
2 2 1
0 1 2
10 4
1 0 0
1 3 1
0 0 3
1 0 3
2 2 2
1 2 0
0 3 3
0 2 3
1 1 3
2 0 2
10 6
1 0 0
0 0 2
2 2 2
0 0 1
2 1 2
2 1 0
1 0 1
2 0 0
2 2 0
0 2 2
10 4
2 1 2
1 2 2
1 1 1
1 1 0
1 2 0
2 1 1
1 0 2
0 1 0
2 0 0
2 2 2
10 2
2 0 1
2 0 0
0 2 2
0 1 0
1 0 2
0 0 2
0 2 1
1 0 0
2 1 0
0 0 1
10 6
2 1 3
3 2 3
3 2 1
3 1 1
3 0 0
1 1 2
1 3 0
1 0 0
0 1 1
3 0 1
10 2
3 2 3
1 3 1
0 3 1
1 3 2
3 1 3
3 0 1
3 3 2
1 3 3
2 1 0
0 2 3
10 5
3 1 3
0 1 2
0 0 1
1 0 3
1 2 3
3 3 0
0 0 2
1 1 2
0 3 0
1 1 3
10 4
1 0 2
2 2 0
0 0 2
1 1 0
1 0 1
0 2 2
2 0 2
1 0 0
2 1 2
1 2 1
10 2
2 2 2
0 0 1
1 2 2
0 2 1
0 1 1
2 1 2
2 2 0
1 2 0
1 2 1
1 0 1
10 4
1 1 1
0 1 2
2 2 2
1 2 2
2 1 2
1 0 0
0 0 0
2 1 0
1 1 0
0 2 0
10 7
2 3 1
2 3 3
0 3 0
3 2 2
2 0 2
2 2 3
0 2 1
2 2 0
1 0 0
3 2 0
10 2
3 1 0
3 0 0
2 0 2
3 3 2
0 3 1
2 3 3
0 2 2
2 1 0
0 2 3
1 3 2
10 9
1 1 0
3 2 2
3 1 2
3 2 1
0 2 1
1 1 3
3 3 2
2 0 3
2 2 1
0 0 1
10 8
0 1 2
0 2 1
2 0 2
1 1 2
0 2 2
1 1 0
1 0 1
1 0 2
1 2 0
1 0 0
10 9
3 2 0
2 1 0
3 2 1
3 2 3
2 2 1
2 0 1
3 0 0
3 3 2
2 2 0
1 2 3
10 5
1 0 2
2 2 1
0 1 0
0 0 1
1 0 1
1 2 2
0 2 0
0 0 0
2 1 1
2 0 0
10 7
3 1 3
3 3 1
0 2 0
3 1 2
3 1 1
1 3 3
1 1 0
0 1 0
2 2 3
2 2 2
10 8
2 2 1
1 1 0
0 2 1
2 1 0
0 0 0
2 0 0
2 0 1
0 1 0
1 1 2
0 0 1
10 3
0 1 0
0 0 1
2 1 2
0 1 2
0 2 2
2 0 2
0 2 1
0 1 1
2 2 1
2 0 0
10 8
0 2 1
1 2 2
0 0 1
0 2 2
2 0 1
0 2 0
1 2 0
1 1 2
0 0 0
2 2 2
10 9
1 0 2
0 1 3
3 1 1
3 1 3
2 0 2
1 0 3
1 0 0
3 2 0
2 2 0
3 1 2
10 6
1 0 1
2 0 1
2 0 0
2 0 2
0 1 0
2 2 1
1 1 2
1 2 0
1 0 0
0 2 0
10 2
2 0 1
1 1 2
2 0 0
0 1 2
1 0 1
0 1 1
0 0 1
1 2 1
1 2 0
0 2 1
10 2
0 0 2
0 0 0
2 2 1
2 1 1
1 1 2
2 0 2
0 2 2
1 0 1
0 0 1
1 0 2
10 9
2 2 2
0 0 1
1 0 0
2 2 1
1 0 1
0 1 0
1 1 0
0 0 2
2 0 2
0 2 1
10 2
0 2 0
0 3 0
1 1 0
3 3 0
0 3 2
1 3 0
0 1 3
0 0 3
2 3 1
1 0 2
10 9
2 0 0
2 0 1
3 3 1
0 3 0
0 2 2
2 3 1
3 1 2
2 2 2
0 3 2
2 1 1
10 5
1 2 0
1 1 1
2 0 2
0 1 0
0 2 2
1 2 2
1 1 2
2 2 1
2 1 2
1 2 1
10 6
3 3 0
0 3 1
0 2 0
0 1 3
2 1 0
3 3 2
0 0 1
3 1 3
0 1 1
2 2 2
10 4
0 1 3
1 3 3
0 0 0
3 0 3
3 0 2
0 3 2
1 1 1
2 3 2
0 3 1
3 3 1
10 2
1 1 1
1 2 0
2 2 1
0 0 0
0 1 0
2 0 1
0 1 1
2 1 0
3 3 2
0 3 3
10 7
0 3 0
0 2 1
3 2 3
1 1 0
3 3 1
1 3 2
3 1 0
1 0 0
2 0 3
0 3 2
10 5
0 3 0
3 2 3
3 1 1
1 2 0
3 0 1
2 1 0
1 3 1
2 2 1
3 0 3
0 1 1
10 9
3 0 2
3 1 2
1 1 0
3 0 3
3 0 1
3 1 3
2 2 1
1 3 1
0 2 0
3 2 0
10 7
3 2 0
0 2 1
0 1 0
3 0 2
3 3 1
1 1 0
2 0 2
3 2 3
1 2 2
3 0 1
10 7
3 3 2
2 2 1
2 2 3
3 2 0
2 0 2
1 0 3
2 1 3
0 1 2
3 0 0
2 2 2
10 5
2 2 2
1 2 0
2 1 1
2 2 1
2 2 0
0 2 1
1 1 0
0 0 2
0 0 1
0 1 1
10 2
3 0 0
0 0 0
0 3 0
1 1 2
0 2 1
3 2 2
3 2 0
2 1 1
1 3 0
3 2 3
10 5
1 2 2
1 0 0
0 1 0
1 2 1
2 0 1
1 2 0
1 0 1
2 2 1
0 1 2
1 1 2
10 7
1 3 1
1 1 1
3 3 3
0 3 2
3 2 3
0 1 2
3 3 2
2 2 2
1 2 0
3 2 2
10 9
1 3 0
3 2 1
1 1 0
3 0 3
0 0 1
1 0 1
2 3 3
2 1 1
2 2 1
3 0 1
10 7
1 0 0
0 1 0
1 1 2
2 2 0
1 2 0
0 2 0
1 0 1
0 0 2
2 2 1
1 1 1
10 2
0 0 0
0 2 0
2 2 0
0 0 1
2 2 1
2 0 1
0 1 1
2 1 2
0 2 2
2 0 2
10 6
0 2 0
2 1 2
2 0 2
2 2 1
1 2 1
2 1 1
1 0 0
0 1 1
1 2 2
2 0 0
10 5
0 0 0
0 1 1
0 2 1
1 1 2
2 0 0
2 1 0
0 1 0
2 2 2
2 0 1
0 0 1
10 5
0 2 2
1 0 2
2 2 1
1 2 1
2 0 1
2 0 0
0 0 2
0 2 0
0 1 0
0 1 2
10 4
1 0 1
2 0 3
3 0 2
3 3 2
1 2 0
0 1 3
0 2 1
1 1 3
2 0 0
1 3 0
10 8
1 0 2
1 1 1
1 2 1
1 2 0
0 1 0
2 1 1
0 2 2
0 2 1
0 0 0
0 1 2
10 9
2 0 1
0 0 2
0 1 2
1 2 1
2 0 0
1 0 0
2 1 1
1 0 2
0 0 0
0 1 1
10 5
2 1 0
2 3 3
2 0 3
1 1 0
3 3 2
1 0 1
0 3 1
1 2 1
2 3 2
1 0 2
10 4
2 1 0
1 2 1
1 2 0
1 2 2
1 1 1
1 1 0
2 2 0
0 0 2
1 0 1
0 2 2
10 4
1 1 2
0 0 1
0 2 0
1 1 1
1 2 1
0 2 1
2 1 0
1 0 1
0 1 1
0 2 2
10 7
0 1 2
2 1 0
1 1 0
0 0 1
1 2 2
0 2 0
2 1 2
1 2 1
1 0 1
0 0 0
10 8
3 1 2
2 1 2
1 0 3
2 2 3
0 0 1
0 1 2
3 0 2
3 3 1
2 2 2
2 0 1
10 2
1 1 0
1 2 2
2 2 0
0 1 1
2 2 2
0 1 2
1 1 2
1 2 1
1 1 1
2 1 1
10 7
2 2 2
2 2 0
2 1 2
2 1 1
0 1 2
0 2 2
0 0 0
0 0 1
2 2 1
2 0 1
10 4
3 0 0
1 0 1
2 1 1
2 2 2
1 2 3
3 2 3
2 2 3
1 3 2
0 3 2
2 0 0
10 8
1 2 0
1 2 2
3 2 3
1 2 3
3 0 1
2 0 3
2 3 1
0 3 0
3 0 3
3 1 1
10 6
1 3 1
2 0 1
1 2 1
1 0 2
1 3 2
1 2 3
2 0 3
3 3 0
0 0 1
3 3 2
10 8
2 1 0
1 0 1
0 2 3
1 2 3
1 2 1
1 0 0
1 3 1
2 0 0
0 2 2
2 1 3
10 6
2 1 2
0 0 3
1 3 1
2 2 1
1 0 3
3 1 2
1 2 0
0 1 2
1 1 2
3 3 1
10 5
2 0 2
2 2 2
2 0 1
1 0 2
1 1 2
1 1 0
2 1 2
0 1 1
0 1 0
0 2 1
10 8
0 3 3
1 2 1
3 3 0
0 3 0
3 1 1
2 0 1
3 3 1
2 0 0
3 0 1
2 1 1
10 8
2 2 1
1 1 2
2 0 0
2 1 0
2 0 2
1 2 1
2 1 2
2 0 1
2 1 1
1 1 1
10 2
1 0 1
0 2 0
1 2 3
3 1 0
0 3 2
0 1 1
3 3 2
1 3 0
1 3 2
2 2 0
10 2
1 0 1
2 1 0
2 2 1
0 1 2
0 0 0
2 0 1
1 1 2
1 0 0
1 1 0
1 2 2
10 3
3 3 2
3 2 1
0 3 0
1 3 1
2 3 3
3 0 1
3 0 2
0 1 2
2 1 1
1 3 2
10 3
0 2 0
0 1 0
2 2 0
0 1 2
2 2 2
0 2 2
2 1 0
2 0 2
1 1 2
2 1 2
10 4
0 0 2
1 1 0
0 1 1
0 2 1
0 2 0
2 1 0
2 1 1
1 0 2
2 2 0
1 2 1
10 8
2 0 0
1 2 2
1 1 3
2 2 0
0 1 1
2 3 2
1 3 3
0 0 3
3 0 2
3 2 1
10 6
2 0 1
1 0 1
1 0 0
0 0 0
0 2 0
0 1 1
2 0 2
1 1 2
1 1 1
1 0 2
10 7
0 2 2
0 1 1
2 0 2
1 2 0
1 2 2
1 1 0
1 2 1
2 0 0
0 1 2
2 2 0
10 3
1 0 0
1 3 2
3 2 0
2 0 2
2 2 2
3 1 1
0 2 2
3 0 1
3 2 2
0 0 3
10 7
2 3 3
1 2 0
2 2 1
1 1 2
1 0 1
1 2 2
3 3 1
2 0 1
2 0 3
0 3 0
10 6
0 2 0
0 1 1
2 2 2
1 1 0
1 0 2
0 0 1
1 0 1
0 2 2
1 2 1
0 0 0
10 6
2 0 1
3 0 0
1 1 0
2 1 3
0 1 1
3 3 0
1 0 2
3 3 3
3 0 3
0 1 0
10 7
3 0 2
0 3 1
3 3 2
2 1 1
3 0 0
2 2 3
3 1 1
0 3 2
0 1 2
1 0 0
10 2
1 0 0
0 2 1
0 0 2
2 3 3
0 1 2
0 0 1
0 2 2
3 3 3
0 0 0
2 2 3
10 4
2 0 1
2 0 0
0 0 2
2 2 2
2 1 0
1 0 2
1 2 0
0 2 1
2 2 1
0 0 1
10 5
1 1 1
1 1 2
1 2 0
1 0 2
0 2 0
0 0 0
0 1 1
0 0 2
1 0 0
1 0 1
10 9
2 1 2
0 1 1
1 0 1
1 1 2
1 0 2
0 1 2
0 0 1
0 2 0
1 1 0
2 2 2
10 4
3 0 1
1 3 0
3 2 2
0 0 2
1 2 3
2 3 3
3 0 0
1 0 3
0 0 3
2 2 0
10 7
1 1 1
2 2 2
0 2 0
0 0 1
0 1 1
2 2 1
2 1 0
2 1 2
0 2 2
1 0 0
10 9
1 1 2
2 2 2
1 1 1
0 1 1
3 3 2
3 1 1
1 3 0
2 1 0
3 2 0
0 3 3
10 6
1 1 2
0 0 2
1 3 3
3 2 3
0 1 0
2 3 3
3 0 2
0 2 3
2 1 1
0 2 1
10 7
0 2 0
0 2 1
0 0 1
2 0 2
2 0 0
2 1 2
2 2 0
1 2 0
1 2 1
0 0 2
10 3
1 2 1
0 0 0
0 0 2
1 1 1
0 0 1
2 0 2
0 2 2
2 1 0
0 2 0
0 1 0
10 2
0 1 0
1 2 0
0 2 1
0 1 2
1 0 1
2 1 2
0 2 2
1 0 0
0 0 1
0 0 0
10 3
2 1 1
1 0 2
0 1 0
2 2 1
0 0 2
0 0 1
0 1 2
1 1 2
2 0 1
1 0 1
10 2
0 1 0
1 0 2
1 2 1
0 0 2
1 1 0
2 0 2
0 2 1
2 2 1
0 1 2
2 0 1
10 4
2 0 3
1 3 2
3 2 3
1 0 0
3 3 2
2 3 2
0 3 1
3 0 0
3 3 3
1 3 3
10 3
2 0 1
0 0 0
2 0 0
1 0 1
0 2 1
1 2 1
1 1 1
0 2 0
1 1 0
2 1 1
10 6
3 2 1
3 3 0
0 3 0
1 1 1
2 3 3
0 2 1
2 2 2
2 0 1
1 0 0
1 2 0
10 2
1 3 2
3 1 3
3 0 0
3 0 2
1 1 3
2 0 0
3 3 1
2 1 2
3 1 2
0 0 1
10 4
2 2 0
2 3 2
0 2 0
3 0 1
0 3 0
1 1 3
0 3 2
0 3 3
2 2 2
2 1 2
10 6
2 2 0
0 3 1
2 2 3
2 3 1
3 0 0
1 3 2
1 1 3
0 0 3
0 2 2
3 3 1
10 9
3 2 1
3 1 3
2 1 3
2 3 1
2 0 3
0 0 3
0 2 0
1 3 0
0 3 0
1 1 1
10 8
0 1 0
2 1 2
3 3 3
1 3 1
3 2 3
3 0 1
1 2 0
2 0 1
3 0 2
0 0 2
10 7
0 0 0
0 0 1
0 2 0
2 0 2
0 2 1
2 2 0
1 0 1
1 1 2
1 1 0
0 0 2
10 6
2 0 1
1 3 0
3 3 1
3 1 0
1 0 2
1 1 1
1 1 2
0 2 0
1 2 3
3 3 3
10 9
1 0 0
2 0 0
0 2 0
2 2 1
0 0 0
1 2 2
2 1 0
1 0 1
0 2 1
2 0 2
10 9
3 3 2
3 2 0
3 3 3
0 1 0
2 3 1
2 3 3
0 1 2
3 0 2
1 0 2
3 2 2
10 5
1 0 1
1 1 1
0 2 1
2 3 3
1 1 3
0 2 3
3 1 2
3 0 3
2 0 0
2 1 3
10 7
0 1 0
2 0 1
0 1 2
2 0 2
1 1 2
0 3 2
2 1 0
2 2 0
1 3 1
0 3 0
10 4
2 2 2
1 1 1
0 2 2
1 0 2
0 2 1
0 2 0
1 0 1
0 0 0
2 2 0
1 2 0
10 7
0 1 0
2 2 0
0 3 3
1 1 2
0 0 3
2 2 1
2 1 3
3 3 1
1 2 1
3 0 3
10 8
2 1 2
0 0 0
2 1 0
1 0 0
1 2 2
2 1 1
0 2 0
1 2 1
1 1 1
2 0 2
10 4
0 0 2
1 2 2
0 1 2
2 0 2
0 2 0
1 1 0
2 1 0
2 2 0
1 1 1
0 1 1
10 8
0 0 2
0 1 1
0 0 1
0 2 0
0 2 2
2 2 2
2 0 1
2 1 2
0 0 0
1 0 0
10 6
2 0 2
3 0 1
0 1 2
0 2 2
2 0 3
0 3 3
3 0 3
2 3 0
0 0 3
1 3 1
10 7
1 0 2
2 0 1
0 2 2
0 2 1
0 0 2
2 0 0
2 1 0
1 1 0
1 2 2
0 1 2
10 3
2 0 2
3 2 2
3 3 1
0 0 3
1 0 2
0 3 0
1 3 1
1 2 2
2 0 0
3 0 3
10 5
1 0 0
0 0 2
0 0 0
0 1 1
2 2 0
1 1 1
0 2 0
1 1 2
1 2 1
0 1 0
10 8
1 2 2
1 2 0
0 1 0
1 1 2
1 0 1
2 2 1
2 0 2
1 1 1
2 1 0
1 0 0
10 7
0 0 3
0 3 3
0 2 3
0 0 2
1 0 2
1 3 1
3 3 1
1 1 0
0 2 0
0 3 0
10 3
2 0 1
0 1 1
2 3 0
3 3 3
0 0 2
2 1 0
1 3 1
2 1 2
0 0 3
2 2 3
10 8
0 0 1
1 0 2
2 2 2
0 1 2
2 2 1
1 2 0
2 1 2
0 0 2
1 1 0
0 2 2
10 4
0 0 1
2 0 1
0 1 0
1 1 2
1 0 0
0 0 0
0 2 2
0 0 2
1 2 1
0 2 0
10 6
2 1 0
0 2 2
1 0 2
0 1 2
1 0 0
1 2 1
1 1 1
1 1 0
1 2 2
1 2 0
10 2
0 3 0
2 2 2
2 2 3
2 3 3
2 1 1
3 2 0
2 2 0
0 0 2
1 0 2
2 3 0
10 6
0 2 0
1 0 2
2 0 1
1 1 2
0 1 1
2 2 0
1 1 0
1 2 0
0 2 2
1 2 2
10 2
2 2 0
0 1 1
0 2 1
0 1 2
2 0 2
0 2 2
1 0 2
1 0 1
2 1 0
1 2 0
10 9
2 0 2
0 0 0
2 1 1
2 0 0
0 0 1
1 1 2
1 0 0
0 2 1
2 1 2
1 1 0
10 7
1 0 2
0 0 0
0 2 0
2 1 1
2 2 1
0 0 1
2 0 1
1 2 1
2 0 2
0 2 1
10 9
0 1 1
1 1 1
1 2 1
3 3 0
2 0 2
0 2 2
2 3 3
3 2 0
2 0 3
0 3 2
10 6
1 0 1
0 0 0
1 2 0
0 1 1
1 2 2
0 0 2
2 2 2
2 1 0
1 2 1
1 0 2
10 9
1 1 0
2 0 0
0 2 1
1 2 1
1 0 2
0 1 1
2 1 0
2 1 2
0 1 0
1 2 2
10 5
0 1 1
0 3 1
0 2 1
0 0 2
0 0 0
3 0 0
1 1 3
0 1 0
3 0 3
2 1 2
10 2
1 2 3
2 1 1
1 3 2
2 0 2
3 3 3
1 1 0
3 2 2
2 1 3
0 3 3
1 0 3
10 2
3 3 0
1 1 2
3 1 3
3 3 1
1 1 0
1 0 0
3 2 2
2 3 2
1 0 3
1 3 0
10 6
0 2 2
2 1 1
0 0 2
1 1 2
0 1 1
1 0 0
0 2 0
1 1 0
2 0 0
2 2 1
10 5
0 0 2
2 3 0
2 3 1
3 3 1
2 1 0
3 2 1
0 1 1
3 1 3
1 3 0
1 1 3
10 4
2 2 1
0 1 2
1 0 1
2 2 2
2 0 2
1 2 0
1 1 0
1 2 1
0 0 0
1 0 2
10 3
1 0 3
3 3 2
0 2 3
3 1 2
3 3 0
2 1 0
0 1 2
3 0 3
2 2 0
2 1 2
10 4
1 2 1
0 1 1
2 2 1
0 1 2
2 1 1
0 2 0
0 0 0
1 0 0
1 1 1
1 2 0
10 8
1 2 2
2 1 0
1 0 0
0 2 2
0 0 0
0 0 1
0 1 0
1 1 0
0 1 1
1 0 1
10 5
1 0 2
0 1 3
3 0 1
2 1 0
2 2 1
3 3 1
1 3 1
3 3 2
2 3 2
0 0 1
10 7
2 2 3
0 0 1
1 0 2
1 1 2
2 1 1
2 0 1
2 1 3
0 0 0
1 3 1
0 3 0
10 5
2 2 2
1 1 0
2 2 1
1 1 2
1 2 2
0 0 1
2 2 0
0 2 2
0 0 0
2 1 1
10 5
0 1 2
3 0 0
3 3 0
2 0 0
0 0 3
2 2 2
0 3 3
2 1 2
0 3 0
0 2 3
10 5
1 1 2
1 0 2
1 0 0
2 1 0
2 0 2
0 2 2
2 2 1
1 2 0
1 1 1
0 0 2
10 3
3 1 0
0 1 0
2 2 0
0 0 0
3 3 0
1 1 0
0 0 3
3 1 3
3 3 2
3 2 2
10 8
1 1 1
1 2 2
2 1 0
1 2 0
1 1 0
2 2 0
2 1 2
0 2 1
0 1 1
0 1 2
10 8
1 2 2
1 1 1
0 2 1
0 1 0
0 0 0
2 0 0
0 2 2
2 0 1
2 2 0
1 1 2
10 4
2 0 1
2 2 0
0 1 0
3 3 1
3 0 0
2 1 2
0 3 3
2 3 1
2 1 1
1 1 3
10 9
3 3 1
3 1 1
1 2 3
0 2 0
0 1 2
1 3 3
2 0 3
1 2 1
1 0 1
1 2 0
10 9
3 3 0
0 3 3
3 0 2
0 1 3
3 2 1
3 0 0
0 0 2
2 3 1
2 0 2
3 2 3
10 3
3 3 2
1 1 1
2 3 0
0 3 1
0 0 1
0 0 3
2 1 0
1 2 1
2 2 3
3 1 2
10 7
0 1 2
0 3 1
3 0 3
0 0 1
1 3 3
2 1 0
3 0 2
3 1 3
2 0 0
0 0 0
10 7
3 1 0
0 0 1
2 2 3
1 0 3
0 2 0
1 1 2
3 2 1
1 0 0
1 3 2
2 3 0
10 7
1 1 0
2 1 2
2 2 1
1 0 0
0 2 1
1 2 2
2 0 1
0 1 0
1 0 2
1 2 1
10 8
1 0 3
1 1 2
2 1 0
0 2 2
1 0 1
3 2 0
1 1 3
0 0 1
0 1 0
0 3 2
10 8
0 1 0
2 1 1
0 0 0
1 2 2
1 0 1
2 2 1
1 0 0
1 1 0
1 1 2
0 1 2
10 6
1 3 2
1 2 3
0 2 1
0 2 3
1 2 0
1 3 3
3 0 1
1 0 3
2 1 3
2 3 2
10 7
0 2 2
2 1 2
3 2 2
3 3 0
2 2 1
0 0 1
1 1 2
3 1 3
3 1 2
2 1 1
10 7
2 1 0
3 0 3
0 0 0
3 2 3
2 3 1
2 3 0
3 2 2
1 0 1
2 2 0
3 3 2
10 2
3 1 1
0 0 2
3 1 2
0 3 2
0 1 0
0 3 0
0 2 3
3 2 3
0 2 0
2 3 2
10 4
2 2 0
2 1 0
0 0 2
3 2 2
3 3 1
1 0 2
1 3 2
1 3 3
3 0 0
1 3 1
10 4
0 0 2
1 2 1
2 2 1
0 1 1
0 2 0
1 0 2
2 1 0
2 1 1
2 0 1
0 1 2
10 4
3 1 1
0 2 0
1 3 3
3 2 0
1 0 0
2 0 0
1 2 0
2 0 1
3 1 0
1 1 0
10 8
0 0 1
1 1 1
0 1 0
0 2 2
2 1 2
1 2 0
2 0 1
0 2 0
1 2 1
0 0 2
10 5
1 2 1
2 1 1
1 0 0
0 1 0
2 1 0
1 2 0
1 1 0
1 1 2
2 2 2
0 0 2
10 3
2 1 1
1 2 0
1 1 2
1 2 2
0 2 1
2 1 0
0 0 1
0 1 0
2 0 1
2 2 1
10 6
3 0 2
2 1 2
0 1 0
2 3 0
2 2 0
3 2 0
2 3 3
0 0 0
3 2 2
2 2 3
10 6
1 2 1
1 0 1
1 2 2
0 0 2
2 0 1
1 1 2
0 1 0
2 0 2
2 2 2
2 1 2
10 4
1 1 2
0 1 2
1 2 1
2 1 1
2 2 1
0 2 1
2 0 1
0 0 0
2 0 0
1 1 0
10 4
2 2 0
0 2 0
2 1 2
2 2 1
1 0 0
1 0 2
0 1 0
0 2 2
2 2 2
1 0 1
10 7
0 1 2
2 2 2
1 1 1
2 1 0
0 2 0
1 1 0
3 2 1
2 0 3
1 3 1
1 2 1
10 2
0 0 2
2 1 2
2 1 1
2 2 1
1 1 0
0 1 2
0 2 1
2 0 2
1 0 1
1 2 1
10 7
0 2 0
1 1 2
2 0 1
0 1 1
2 2 2
2 2 1
0 2 2
0 1 0
1 0 2
1 1 0
10 5
3 1 3
3 3 0
0 1 2
0 1 3
3 1 2
2 2 1
2 0 1
2 1 1
2 1 0
2 2 2
10 3
1 3 3
2 1 0
2 3 1
2 2 2
0 2 0
0 2 1
2 3 2
3 2 3
3 1 0
1 2 1
10 4
0 1 2
1 0 2
2 0 2
0 2 2
2 1 0
2 2 0
0 1 0
1 1 2
2 2 2
2 0 0
10 7
3 2 1
1 2 1
2 3 2
2 3 0
0 2 2
2 2 1
0 3 0
1 1 3
2 3 3
2 1 2
10 3
3 0 1
1 1 1
2 3 0
3 2 3
3 3 1
0 1 0
3 0 2
3 0 3
2 2 3
3 2 2
10 4
1 1 1
0 1 0
0 0 1
2 2 1
2 1 1
1 0 0
0 0 0
1 1 0
1 0 1
0 1 2
10 5
3 0 3
2 1 3
0 3 0
1 0 0
2 2 3
3 1 2
1 1 3
3 1 3
3 2 2
0 3 1
10 7
1 1 2
0 1 1
2 1 2
0 1 2
2 0 2
2 2 2
0 0 2
2 1 1
1 1 1
0 2 2
10 6
0 2 0
1 1 2
2 1 0
1 1 0
2 1 2
2 1 1
2 2 2
1 2 1
0 2 1
0 1 1
10 5
2 2 0
1 1 2
1 0 1
2 1 0
0 0 2
2 2 1
2 0 0
0 1 1
0 2 2
2 2 2
10 3
2 1 0
2 0 3
2 3 2
3 1 3
0 2 0
0 0 3
3 0 1
3 2 0
1 3 2
1 0 2
10 5
3 3 1
2 1 3
2 0 0
0 2 2
3 2 2
2 2 3
1 3 0
3 1 3
0 0 1
2 1 0
10 9
2 0 3
0 2 2
3 2 3
3 2 1
1 2 1
0 2 1
3 1 1
3 0 1
2 1 3
3 0 2
10 7
0 0 0
0 1 3
3 1 0
0 2 2
3 2 2
2 2 1
2 3 3
3 0 0
1 2 1
2 1 0
10 5
3 2 3
1 3 3
3 0 3
1 2 3
0 1 1
3 2 0
3 3 0
2 1 3
2 2 3
2 0 3
10 2
3 0 2
2 2 1
3 0 3
0 0 3
3 0 0
3 2 1
2 0 3
0 3 2
2 3 3
2 1 1
10 9
0 2 2
0 0 0
1 0 2
0 1 2
0 2 1
2 2 0
2 1 1
0 0 2
2 1 2
1 0 0
10 9
2 3 0
1 0 0
2 2 2
3 1 1
1 1 1
1 3 1
1 2 2
0 2 3
3 3 3
2 2 1
10 9
0 2 0
1 1 1
1 0 1
1 2 0
2 1 1
2 0 2
0 2 1
0 0 0
2 0 0
2 0 1
10 8
2 2 0
0 0 2
3 1 1
1 2 1
2 0 2
0 1 2
2 0 3
2 3 0
3 3 1
3 0 0
10 7
2 2 2
0 3 1
3 0 2
3 2 3
0 1 2
2 3 1
3 3 0
3 1 0
0 0 3
2 2 1
10 8
2 0 0
0 0 1
1 0 0
0 2 0
1 1 1
2 1 2
2 2 0
1 1 0
0 1 0
1 2 2
10 8
2 0 0
2 0 1
0 2 0
2 1 0
0 0 1
0 2 2
1 0 0
0 1 0
2 2 0
1 2 1
10 8
2 0 2
1 0 0
2 2 1
0 2 2
1 2 0
1 0 2
2 0 1
0 2 1
1 2 1
0 1 1
10 5
0 0 2
1 2 3
0 0 1
0 2 2
2 3 0
1 3 2
0 3 0
2 3 1
2 1 2
0 3 2
10 9
1 1 0
0 0 1
0 1 1
1 0 0
2 0 0
0 2 2
0 1 0
0 2 1
1 1 1
2 0 1
10 4
2 3 2
3 2 0
1 1 2
3 0 2
2 2 3
0 2 0
1 2 3
3 0 0
0 3 3
2 0 1
10 4
0 1 2
0 0 2
1 2 2
2 2 2
2 1 2
0 1 0
2 0 0
2 2 0
1 0 1
2 2 1
10 5
2 0 1
2 1 0
1 2 0
2 0 0
2 1 2
0 2 1
1 1 0
1 0 2
0 1 1
0 2 2
10 9
1 2 1
0 1 2
1 1 0
2 2 1
1 0 2
1 1 2
1 2 2
0 2 2
1 0 1
0 0 0
10 9
0 1 2
1 1 1
3 2 1
3 0 2
3 1 3
1 1 2
3 0 0
1 0 2
3 3 1
3 2 2
10 2
0 2 2
0 0 3
3 1 3
1 2 1
0 3 0
3 0 2
2 1 2
2 0 0
3 1 0
2 2 2
10 4
0 1 1
2 3 0
3 3 0
2 1 1
0 1 3
3 1 2
0 0 3
1 1 1
1 0 3
3 2 1
10 9
0 0 1
2 1 1
2 2 0
0 2 1
1 1 2
0 1 2
0 0 0
0 1 1
1 0 2
2 1 2
10 9
0 1 2
3 1 1
3 3 1
2 1 2
0 0 3
2 1 1
0 2 0
3 1 3
0 0 0
2 3 1
10 9
0 1 3
3 3 3
0 3 3
2 2 2
0 2 1
0 2 0
1 3 1
1 2 1
3 1 3
1 1 2
10 2
2 2 1
1 0 2
2 0 1
0 1 0
1 2 1
2 2 0
0 2 2
1 1 1
2 2 2
0 2 1
10 4
0 3 2
0 3 3
2 3 3
0 2 1
0 2 3
0 1 3
0 1 0
3 3 3
2 0 2
1 1 3
10 8
0 1 2
0 3 0
2 2 0
0 1 3
2 0 0
3 0 1
3 1 3
3 1 1
1 0 3
3 3 3
10 9
1 1 1
2 0 0
1 1 0
2 1 1
2 2 0
1 2 1
0 0 0
2 2 2
0 1 0
1 0 0
10 7
0 1 0
0 2 1
0 0 0
2 1 1
2 1 0
1 1 2
1 0 0
2 0 2
2 1 2
0 1 2
10 8
1 3 0
3 2 1
2 1 1
2 3 3
1 0 3
2 3 2
3 0 3
3 0 1
1 1 1
1 3 3
10 9
0 1 0
2 1 0
1 0 1
0 0 0
2 2 2
1 1 1
2 0 2
1 0 2
2 2 1
2 1 2
10 8
3 3 3
0 0 1
0 0 3
2 3 2
1 3 1
1 1 2
0 1 0
2 1 3
0 1 2
3 2 3
10 9
2 3 1
1 3 1
3 1 0
2 2 1
0 1 3
2 2 3
1 2 1
3 1 3
2 3 2
1 2 3
10 3
1 1 0
0 2 3
2 2 3
1 3 3
0 1 0
1 0 1
2 0 2
3 2 0
2 2 2
3 1 3
10 2
2 3 0
0 0 2
0 2 0
0 1 3
3 1 0
1 1 0
3 0 3
3 1 2
1 1 3
1 2 3
10 4
0 1 2
1 2 2
1 1 2
2 2 0
1 2 0
2 2 1
0 2 0
0 1 0
2 1 1
0 0 1
10 5
1 2 2
1 0 1
0 0 0
2 0 2
1 1 1
1 0 2
1 2 1
0 1 0
2 0 0
1 1 2
10 9
0 3 3
2 2 2
3 1 0
0 3 2
2 2 3
0 0 1
0 2 3
0 0 3
2 1 2
3 0 3
10 2
2 1 3
2 2 2
3 2 1
1 3 0
2 0 1
0 3 1
2 1 1
2 3 3
0 3 0
3 0 3
10 2
0 2 0
0 2 2
1 2 1
0 1 1
2 2 2
1 2 2
0 1 0
2 1 1
0 0 0
2 0 2
10 6
2 3 3
2 0 3
2 0 0
1 0 1
0 0 0
0 3 1
1 2 3
1 1 3
3 0 0
3 2 0
10 9
2 1 1
0 2 1
2 3 1
0 3 0
3 3 3
2 1 2
0 3 2
2 2 2
0 3 1
3 3 1
10 3
0 1 0
2 2 2
0 2 0
2 2 1
1 0 0
0 0 0
1 0 2
0 0 2
1 1 0
2 0 1
10 5
2 1 0
2 1 1
2 2 0
0 0 2
1 2 0
1 0 0
1 0 1
1 1 0
2 0 2
2 0 0
10 7
1 1 1
1 0 2
0 1 1
0 2 0
1 2 0
2 2 2
1 2 2
1 1 0
0 2 2
2 2 0
10 3
0 1 1
2 0 3
2 1 0
0 1 0
2 2 1
0 0 1
1 3 1
0 0 0
1 0 3
1 3 3
10 4
0 0 2
1 0 1
3 1 0
2 0 3
2 2 0
1 2 1
0 1 1
2 2 3
1 2 0
1 3 1
10 5
1 1 0
1 2 1
0 0 2
0 1 0
0 1 2
0 2 2
1 0 2
1 1 2
2 2 2
1 0 0
10 7
1 2 0
0 0 0
0 1 1
0 1 2
2 2 2
1 2 2
1 0 0
0 0 2
0 1 0
2 0 2
10 6
3 2 3
2 1 1
0 1 0
2 3 2
0 0 2
0 2 3
2 0 1
3 1 1
3 0 3
0 0 1
10 9
2 0 2
2 0 1
1 1 0
2 2 2
0 2 0
1 0 1
2 2 0
0 0 0
2 0 0
1 0 0
10 5
2 0 2
2 2 2
0 1 2
1 1 0
1 2 1
2 0 0
1 0 2
1 2 0
0 0 1
2 2 0
10 5
0 1 2
2 2 0
2 1 2
2 1 0
0 0 2
2 0 0
0 0 1
1 0 2
2 0 1
2 2 1
10 2
2 3 0
3 2 2
0 3 0
3 3 1
1 1 3
0 0 1
0 0 0
2 3 3
0 2 0
3 2 1
10 3
3 1 2
0 1 3
1 3 1
1 3 0
0 2 0
0 1 0
3 2 0
1 0 2
1 1 3
1 0 3
10 9
0 0 1
0 1 1
2 1 1
2 0 1
0 2 0
0 0 0
2 1 2
1 2 1
0 0 2
2 0 2
10 3
1 2 0
2 2 0
2 1 0
1 2 2
1 1 3
3 0 2
2 3 0
3 1 1
3 2 0
1 3 2
10 8
3 0 3
0 0 1
3 1 1
2 0 2
1 0 1
0 1 0
3 2 0
3 1 2
3 1 3
1 3 2
10 8
0 2 3
0 0 3
1 0 2
0 2 2
2 3 1
3 3 2
3 2 3
2 2 2
0 1 2
1 1 3
10 4
0 1 0
1 3 2
3 3 0
0 3 0
1 2 3
3 0 2
1 1 0
3 3 3
2 3 2
0 2 2
10 2
0 3 1
3 3 0
0 1 0
0 2 3
0 2 0
1 2 1
2 1 3
3 0 0
1 2 0
2 2 1
10 5
2 0 1
0 1 2
2 2 0
0 2 0
0 0 1
1 1 2
2 2 1
0 1 1
2 0 0
0 2 1
10 9
2 1 1
1 1 1
0 1 1
1 1 0
1 0 1
1 0 2
0 0 1
0 2 1
2 2 2
1 2 2
10 5
1 0 0
2 2 1
2 1 1
0 2 1
1 2 0
1 1 2
1 0 1
2 2 2
2 2 0
2 0 0
10 8
2 1 2
1 2 1
1 0 2
1 0 1
0 2 2
0 0 2
2 1 0
1 1 1
2 2 2
1 1 0
10 7
1 1 0
2 0 0
2 3 0
3 3 0
0 2 0
2 2 3
1 2 3
2 0 3
1 0 0
1 1 2
10 3
0 1 2
1 2 2
1 1 2
2 2 0
1 1 1
0 2 0
2 2 2
2 0 2
2 1 1
2 1 0
10 3
1 0 3
3 2 3
0 2 3
1 3 1
1 1 3
1 1 2
0 3 1
2 3 0
3 3 1
0 3 0
10 9
2 2 2
2 2 0
0 1 1
2 0 0
0 0 2
0 2 0
0 0 1
2 1 2
1 0 0
0 1 0
10 2
3 0 2
3 2 2
2 3 0
1 1 2
3 2 0
1 3 1
1 3 3
2 0 2
0 3 2
3 0 3
10 5
3 1 1
0 1 3
3 3 1
3 3 3
0 3 3
0 0 3
3 0 1
3 1 2
2 0 0
2 0 3
10 4
1 0 0
1 2 1
0 2 2
0 2 1
1 0 2
2 2 0
0 0 1
2 1 2
0 1 2
0 1 1
10 3
2 2 0
0 0 2
0 0 1
0 2 2
1 1 2
2 0 1
1 1 0
0 1 2
2 0 0
1 2 0
10 6
0 1 2
2 2 0
1 0 0
2 2 1
0 1 1
0 2 0
1 2 1
1 0 1
2 0 0
1 2 2
10 7
1 0 1
0 2 1
0 0 0
2 1 2
1 0 2
0 2 2
2 1 0
1 1 0
0 2 0
1 0 0
10 9
2 1 1
2 1 2
2 1 0
0 1 2
0 2 0
2 2 1
0 0 2
1 2 2
0 2 2
0 2 1
10 6
1 1 2
0 0 0
0 0 3
2 0 2
1 0 0
2 3 2
2 3 0
0 2 1
3 1 3
2 2 3
10 7
0 1 3
1 1 0
3 1 3
2 2 3
0 0 0
1 0 3
1 3 3
2 2 2
1 2 3
2 3 3
10 2
0 2 1
1 2 2
0 1 2
0 0 1
2 0 1
0 2 0
2 2 0
1 1 0
1 2 1
0 0 2
10 7
2 3 1
1 2 2
3 3 1
2 1 0
2 0 1
0 1 0
1 1 2
3 0 1
0 3 3
1 3 2
10 5
2 2 0
2 0 1
1 0 2
0 1 0
2 1 1
1 1 1
1 1 0
0 1 1
1 2 0
0 0 1
10 2
1 2 0
3 1 2
2 0 3
1 1 3
0 1 2
1 3 2
2 1 3
1 3 0
2 0 2
3 0 1
10 3
1 1 0
2 0 1
0 0 0
0 3 3
0 3 1
2 2 2
2 3 1
2 0 0
2 1 2
0 2 3
10 7
2 2 3
2 3 0
2 2 0
0 2 2
3 3 0
0 0 2
3 3 2
3 2 1
3 0 3
0 3 3
10 6
1 1 2
0 2 1
2 0 2
2 2 1
2 2 2
1 2 0
2 0 1
1 0 1
2 1 1
1 0 0
10 2
0 3 0
1 3 1
1 0 0
3 3 0
1 0 2
0 0 0
2 3 3
0 3 1
1 2 0
3 0 3
10 6
2 1 0
0 2 0
2 0 1
0 0 0
0 2 2
1 2 2
2 1 2
0 1 2
1 0 2
2 0 0
10 2
0 1 0
0 2 2
0 0 1
2 3 2
1 1 0
2 1 2
2 3 0
3 0 2
1 0 2
0 3 2
10 5
0 1 2
1 2 3
0 1 3
0 2 0
0 3 1
2 1 2
3 3 1
2 0 3
3 3 2
2 2 1
10 9
0 0 0
2 2 2
2 1 2
1 2 0
0 1 1
0 0 1
1 1 2
2 2 0
2 0 0
1 2 1
10 5
0 2 0
2 1 2
2 2 1
0 1 1
2 2 0
2 1 1
0 0 0
0 1 0
0 0 2
1 2 0
10 6
1 2 0
1 0 2
1 1 1
0 0 1
2 1 1
1 0 0
1 2 1
2 1 2
2 2 1
2 2 2
10 2
3 0 3
0 3 0
0 0 0
0 1 3
1 0 3
3 0 0
2 3 3
1 0 2
2 2 3
2 3 1
10 7
2 2 1
2 0 1
1 0 1
0 1 2
2 2 2
0 2 0
1 2 0
2 1 0
0 2 2
1 0 2
10 8
0 0 2
3 0 1
1 2 1
3 1 3
1 1 2
1 2 3
3 1 2
2 3 0
2 3 1
2 0 3
10 3
1 0 2
0 1 2
0 0 1
1 2 1
0 1 1
1 1 0
0 0 2
0 1 0
1 2 2
1 1 2
10 5
2 0 0
2 2 2
2 1 1
0 2 0
1 1 0
2 0 2
1 2 1
2 2 0
0 1 0
0 0 2
10 2
2 0 2
3 2 3
0 2 1
1 2 1
0 1 1
3 2 2
2 2 3
2 0 0
3 3 0
3 1 1
10 8
2 2 3
1 0 1
0 0 0
0 2 3
1 3 1
3 0 0
1 0 3
0 0 3
3 0 1
3 1 1
10 2
0 3 3
0 1 0
1 1 1
0 2 1
2 1 2
1 3 1
3 1 2
3 0 0
1 2 3
2 2 0
10 5
2 2 1
1 1 1
0 2 1
2 2 2
2 0 0
2 1 0
0 1 0
2 1 2
1 0 1
1 2 1
10 4
3 0 0
1 3 2
0 0 1
3 2 2
1 1 2
2 3 1
1 2 0
0 3 3
0 0 0
0 3 2
10 3
2 1 1
0 2 0
2 0 0
2 2 1
2 1 2
0 1 1
1 0 0
2 2 2
0 2 2
1 1 0
10 7
1 2 2
2 0 1
2 1 0
0 0 2
2 2 1
2 2 2
2 1 1
1 1 0
0 0 0
0 2 1
10 3
1 0 2
0 2 0
1 3 3
3 2 1
1 0 0
0 1 1
2 2 1
1 1 3
0 2 3
0 1 2
10 5
1 0 0
1 1 0
0 0 2
0 2 2
0 2 0
2 2 1
2 1 2
1 2 0
1 1 2
1 2 2
10 5
1 0 2
1 0 3
3 3 2
2 0 2
2 3 2
1 1 1
0 3 2
3 0 0
2 3 0
2 2 3
10 6
2 2 1
0 1 0
0 2 0
2 0 2
1 0 1
0 1 1
1 1 2
2 2 0
0 0 0
0 0 1
10 2
3 3 3
0 3 0
2 0 0
1 0 0
2 0 3
1 0 3
2 3 2
1 1 3
2 1 1
1 1 2
10 9
1 1 2
0 2 1
1 1 1
1 2 1
0 1 2
2 2 1
0 2 2
1 0 1
2 0 0
0 1 1
10 7
1 2 2
3 3 3
1 1 2
0 3 3
0 2 1
3 2 2
0 0 3
2 1 3
3 0 1
2 3 2
10 4
1 1 1
1 1 2
0 2 0
2 0 2
2 0 0
1 0 0
1 2 1
0 1 0
2 2 1
2 2 0
10 3
3 1 3
2 2 1
1 2 2
1 3 0
1 3 2
3 2 2
1 1 3
0 2 2
1 2 0
0 0 3
10 9
2 0 2
2 2 0
0 0 1
0 0 0
2 1 0
0 0 2
2 2 1
1 1 0
1 0 2
2 1 2
10 3
2 2 1
3 0 1
0 3 2
2 3 1
1 3 2
0 1 0
2 0 0
1 2 2
3 0 0
0 1 1
10 9
1 1 2
1 0 2
0 0 1
2 0 2
1 0 1
2 2 2
0 1 2
1 2 2
0 2 2
2 1 2
10 8
1 3 3
3 1 2
2 3 2
2 0 0
1 0 2
2 2 1
0 1 0
0 2 2
1 3 2
1 2 0
10 9
2 3 1
2 3 0
1 3 1
3 0 0
3 3 3
0 0 1
1 2 0
2 1 2
2 1 3
0 3 1
10 2
2 2 3
3 0 1
1 2 0
3 0 3
0 2 0
0 0 1
1 2 1
1 3 1
2 0 0
2 2 0
10 5
2 0 2
0 1 0
1 2 1
1 1 0
0 2 0
0 0 1
1 2 2
2 1 1
1 2 0
1 0 2
10 2
1 1 0
2 2 2
1 0 1
1 2 2
0 0 0
1 1 2
1 2 0
0 2 2
0 0 2
2 1 1
10 9
0 0 2
1 0 1
0 2 2
2 0 1
0 2 1
2 2 2
2 2 1
1 1 1
0 0 1
1 1 0
10 6
2 1 2
0 1 0
2 2 2
0 1 1
0 2 1
0 0 1
1 1 0
1 1 2
1 1 1
0 0 2
10 8
1 1 0
2 2 0
1 2 1
2 0 2
0 2 1
2 1 1
2 2 1
1 1 2
0 0 1
0 0 0
10 3
2 1 0
2 2 0
0 1 0
1 2 0
2 1 2
0 0 0
1 0 2
2 0 2
1 1 2
1 1 0
10 4
2 1 0
1 0 1
1 2 3
2 3 0
3 1 2
1 0 0
3 2 0
0 2 3
3 3 3
3 2 2
10 6
2 0 1
2 0 2
2 1 1
1 1 0
1 2 2
0 1 2
0 2 2
1 0 2
2 1 0
1 1 2
10 3
1 1 1
0 0 0
1 0 0
1 0 2
1 1 2
0 1 0
0 0 1
0 2 0
1 1 0
0 0 2
10 8
0 0 0
0 1 0
1 0 0
1 1 1
2 1 1
2 2 0
0 0 2
1 0 2
1 1 2
0 2 2
10 2
1 0 1
3 2 2
0 2 0
2 1 0
0 2 2
2 1 1
1 0 3
1 2 2
3 3 3
3 2 3
10 3
1 1 2
0 2 2
0 0 2
2 2 3
1 0 2
1 3 1
1 2 2
3 2 3
3 0 1
1 3 2
10 3
1 0 2
0 2 0
1 1 1
2 2 2
1 0 0
2 1 2
1 1 0
2 0 1
0 2 2
1 2 1
10 5
0 1 2
0 2 0
1 2 0
1 1 2
1 0 2
1 2 1
0 0 1
2 2 0
0 2 1
1 0 0
10 3
0 1 3
0 1 1
2 3 2
1 1 0
2 0 1
3 2 0
2 2 0
1 3 3
1 3 0
3 1 0
10 6
0 0 1
1 0 1
2 0 1
1 2 1
2 0 0
1 2 0
2 2 1
1 1 1
0 1 0
0 2 2
10 4
2 1 2
0 2 1
0 1 1
2 1 0
1 1 1
0 0 1
2 0 0
0 0 2
1 0 0
2 2 2
10 2
1 3 0
1 0 1
3 1 0
1 1 3
2 2 3
1 0 3
2 2 1
3 2 3
1 2 3
2 0 3
10 7
1 1 1
1 2 0
0 0 0
1 2 2
0 1 2
2 2 0
2 2 1
1 0 1
2 1 0
1 1 0
10 5
0 2 1
3 2 1
0 2 2
3 0 1
1 0 3
3 1 2
3 1 3
0 3 1
0 0 2
3 0 2
10 3
0 1 2
0 2 1
0 0 0
1 1 0
0 1 1
1 0 0
2 2 1
0 2 0
1 1 2
2 2 0
10 2
1 1 2
2 3 0
0 1 3
3 3 3
1 3 2
2 0 0
0 1 2
2 3 3
2 1 3
0 3 1
10 6
0 2 2
1 0 1
2 1 1
1 0 0
2 1 2
2 2 1
1 2 0
2 2 2
1 2 2
0 2 1
10 2
1 1 1
1 2 1
1 0 1
0 2 1
2 2 1
0 0 2
2 0 2
0 1 0
0 2 0
0 0 1
10 4
2 0 0
0 2 2
1 0 2
1 1 0
2 1 2
2 1 0
2 2 2
0 1 1
2 0 1
1 2 0
10 7
2 0 0
3 2 0
0 3 2
2 2 0
0 0 3
2 3 0
2 1 0
0 3 3
2 2 3
0 0 2
10 7
1 2 0
2 0 1
0 2 2
2 0 2
1 1 2
2 0 0
0 2 1
2 1 2
0 1 0
1 1 1
10 6
3 2 0
2 2 2
2 0 0
1 2 2
3 3 2
2 1 1
0 1 2
2 2 1
2 0 3
3 2 1
10 6
1 1 0
0 2 0
1 2 0
1 2 1
0 0 1
1 1 2
1 1 1
0 1 2
0 0 2
0 1 1
10 8
3 2 2
3 0 1
2 3 1
0 0 1
2 2 0
0 0 3
0 1 3
0 2 3
1 2 2
0 3 0
10 4
3 2 1
3 3 0
0 0 0
1 3 3
0 0 2
1 2 0
3 3 1
1 2 1
1 1 2
3 1 2
10 6
2 2 0
2 0 0
2 2 1
2 0 2
1 1 2
2 1 0
0 1 0
1 2 2
1 2 1
0 0 1
10 9
2 0 3
0 0 0
0 1 2
3 2 1
0 1 0
0 0 1
1 3 0
1 3 1
0 1 3
3 3 3
10 5
2 0 2
1 0 2
1 3 3
3 0 1
0 2 3
2 0 0
1 3 2
0 1 1
2 1 3
0 3 3
10 4
0 0 3
0 0 0
1 2 0
2 0 3
2 1 3
0 0 2
3 2 2
2 3 0
2 0 2
0 2 0
10 3
2 2 0
0 0 2
2 0 2
0 0 0
1 0 0
2 2 1
2 1 0
2 1 1
2 0 1
0 1 1
10 5
2 2 0
0 1 0
1 1 1
0 1 2
1 0 1
1 2 1
0 0 0
0 1 1
2 0 1
1 0 0
10 2
1 1 0
0 1 2
0 1 0
1 1 2
0 0 2
1 0 1
0 2 2
2 1 0
2 1 2
1 0 2
10 5
2 1 2
2 2 1
0 1 2
0 0 2
0 0 1
1 1 0
1 1 2
2 0 0
2 2 0
2 0 2
10 7
0 1 1
1 0 0
0 2 0
1 2 1
1 2 2
1 1 1
1 1 2
2 1 0
0 1 0
0 0 1
10 3
0 0 0
2 0 2
1 1 1
1 1 2
0 1 2
1 0 0
0 1 0
1 0 1
2 0 1
0 0 1
10 8
0 1 1
0 0 2
2 2 2
2 0 2
0 2 1
1 0 2
2 1 1
0 2 0
0 1 2
1 1 1
10 7
2 2 1
2 3 2
3 1 3
3 2 2
1 2 1
1 3 3
2 2 2
0 0 3
3 0 2
2 1 3
10 2
2 0 1
0 0 0
1 0 2
2 1 2
0 0 1
1 0 0
0 1 2
2 1 0
2 2 1
0 2 1
10 6
2 2 2
0 2 2
0 1 2
1 0 0
2 1 0
1 2 1
0 2 0
1 1 1
2 1 1
2 2 0
10 3
0 0 0
2 0 2
2 1 1
2 0 1
0 2 2
2 2 0
0 1 1
1 2 2
0 1 2
1 0 0
10 6
0 0 1
0 3 2
3 3 3
2 2 2
1 2 0
2 1 3
3 3 0
0 2 2
2 0 1
3 1 3
10 6
0 1 1
2 0 1
1 1 1
1 0 2
1 0 0
1 2 2
2 2 2
1 1 0
2 2 1
2 2 0
10 3
0 2 1
1 0 2
0 1 2
1 1 2
1 0 1
0 0 0
1 1 0
2 1 0
0 2 2
2 1 2
10 4
1 0 1
2 2 0
3 3 2
2 1 0
1 3 1
0 1 3
1 2 2
2 1 1
3 2 0
3 2 1
10 9
3 1 2
0 2 3
3 0 3
3 1 0
3 0 1
3 3 2
3 3 0
3 2 0
1 2 2
1 1 1
10 9
0 2 0
1 2 1
0 0 2
1 2 2
1 1 0
2 2 0
0 0 1
2 1 2
1 0 1
0 2 1
10 9
0 2 2
0 3 1
2 0 3
3 2 2
3 2 0
1 3 1
3 0 2
1 3 3
2 1 3
1 1 2
10 5
0 1 0
0 2 0
0 2 2
1 2 2
0 0 1
2 1 0
1 2 1
1 0 2
2 0 2
1 1 1
10 5
2 3 2
3 3 3
2 3 1
0 0 2
2 0 3
0 2 3
0 1 2
1 1 2
0 2 0
3 1 2
10 7
2 0 0
0 1 1
2 1 0
0 1 0
0 2 0
0 1 2
2 2 0
1 2 0
1 0 2
1 1 2
10 6
1 2 0
0 0 2
0 2 0
1 1 2
0 0 0
2 1 0
1 1 0
1 0 2
2 2 1
1 2 1
10 8
0 1 0
2 2 0
2 1 1
2 2 2
1 2 0
1 1 2
1 1 1
2 2 1
1 2 1
0 2 1
10 7
1 1 2
0 1 2
2 0 2
1 3 2
2 3 3
1 2 2
0 2 2
0 0 0
3 3 2
1 1 3
10 7
1 1 0
0 0 2
2 0 2
0 2 2
0 0 1
2 2 1
2 1 1
2 1 0
2 2 2
0 2 0
10 7
2 1 2
2 0 1
1 2 1
0 0 1
2 0 0
2 1 0
0 2 0
0 1 1
2 1 1
0 1 0
10 9
3 3 3
1 0 1
1 1 0
3 1 3
0 0 2
2 1 1
2 1 2
2 2 1
3 3 0
2 0 1
10 2
0 0 2
1 1 0
2 0 0
1 2 0
2 0 2
0 2 1
0 0 0
2 2 2
1 2 1
0 1 1
10 3
1 3 3
1 1 1
1 1 0
1 2 3
2 0 0
3 2 0
0 3 0
2 0 1
2 1 3
0 0 1
10 9
2 0 2
3 0 2
0 0 2
1 1 0
2 1 0
3 3 3
0 3 2
2 1 3
1 2 1
1 1 2
10 7
3 0 3
1 0 3
2 3 3
3 2 3
0 1 3
1 1 1
1 1 2
3 3 2
1 3 0
0 3 1
10 8
0 0 1
1 2 0
0 2 0
0 2 1
1 2 1
1 0 1
2 0 1
2 2 2
2 2 0
2 0 0
10 3
1 1 2
2 3 2
3 0 3
2 0 3
3 3 3
3 1 1
0 3 2
3 1 0
1 0 0
3 1 3
10 6
1 2 1
2 2 1
1 1 0
0 1 2
0 2 0
2 1 1
2 1 2
1 0 1
2 0 0
0 0 2
10 8
0 2 0
2 1 2
0 2 1
0 0 2
1 1 0
1 2 1
1 1 2
2 2 1
0 1 2
2 2 0
10 7
3 0 1
2 2 3
3 2 2
1 3 1
3 0 0
2 1 2
1 1 2
0 0 1
2 3 1
1 3 0
10 3
0 2 1
0 0 1
2 0 1
0 2 2
2 0 2
1 2 0
0 1 0
2 2 0
1 0 1
2 2 1
10 7
2 0 2
0 1 2
2 2 0
0 0 2
2 1 0
2 0 0
1 1 0
1 0 1
1 2 1
1 0 2
10 2
3 1 1
2 0 0
2 3 0
2 0 1
1 3 0
1 2 3
0 0 1
0 2 2
2 3 1
1 0 1
10 9
1 1 2
2 2 1
1 1 0
2 2 2
1 0 1
2 0 1
0 1 1
0 0 1
0 1 2
2 1 2
10 3
2 1 2
0 2 1
1 2 0
2 1 1
1 1 1
0 0 2
1 0 2
0 0 1
2 0 2
1 0 0
10 5
2 2 1
1 1 2
0 2 0
0 0 2
2 1 2
1 2 0
2 2 0
1 2 2
0 1 0
2 0 2
10 5
0 3 0
1 2 3
0 2 2
3 3 0
0 0 2
3 3 1
3 0 2
1 0 2
2 1 2
3 0 0
10 4
0 0 3
1 2 1
3 0 2
1 3 3
2 0 3
3 1 2
3 0 0
0 3 0
0 1 3
0 0 2
10 2
1 1 2
2 3 3
0 0 3
3 2 2
2 0 1
3 3 1
3 3 3
3 2 0
2 0 3
3 2 1
10 6
2 0 2
2 1 1
2 0 3
1 3 2
3 0 2
1 3 0
2 2 3
3 0 1
3 0 0
1 2 2
10 3
1 0 3
0 0 3
1 1 3
1 2 0
2 1 0
2 3 1
1 0 2
0 1 0
0 2 1
2 2 2
10 2
2 1 0
3 1 3
2 3 0
1 2 0
3 0 2
3 1 1
3 1 2
1 0 1
2 0 0
0 1 1
10 5
1 3 3
3 3 3
2 0 1
3 3 0
0 0 2
2 2 3
0 2 3
2 0 0
1 0 2
3 0 2
10 6
0 0 0
2 0 1
1 0 2
0 2 1
0 1 1
0 0 2
2 1 1
0 2 0
2 2 2
2 1 2
10 4
1 2 2
3 0 0
0 3 3
2 1 1
1 2 3
0 2 0
3 1 2
2 3 2
2 0 2
0 1 3
10 4
3 1 2
1 0 1
2 3 1
2 0 1
2 1 3
0 1 3
3 2 3
3 0 3
1 3 2
2 2 1
10 4
3 2 1
2 3 0
3 1 0
1 2 0
0 2 3
1 3 0
2 1 2
1 3 1
3 0 0
1 2 1
10 3
2 1 2
1 0 1
1 0 2
2 2 2
1 1 1
1 2 1
0 2 0
2 0 1
2 0 0
0 2 1
10 9
3 3 1
2 0 3
2 2 0
2 0 1
2 0 2
0 0 3
1 1 0
0 3 2
3 0 1
3 2 3
10 3
0 3 2
2 3 3
0 1 2
0 1 3
2 3 2
1 1 3
2 0 0
2 3 0
2 2 2
2 1 2
10 4
3 1 0
3 0 0
2 3 3
2 3 1
0 1 2
1 3 3
0 3 1
3 3 0
1 0 2
3 2 1
10 8
2 3 0
2 3 3
1 3 1
0 1 1
0 2 2
0 2 3
0 3 1
3 0 3
1 1 0
0 1 0
10 5
1 1 2
0 1 0
0 1 1
1 2 0
0 2 0
2 1 1
1 2 2
0 2 2
0 0 2
1 1 1
10 6
0 0 1
1 1 2
2 0 1
1 1 1
0 2 2
2 2 0
0 1 0
0 0 2
0 1 2
1 2 2
10 6
2 2 0
2 2 2
0 2 0
2 1 0
1 2 0
0 0 1
0 0 2
2 1 1
2 2 1
2 1 2
10 6
3 0 1
2 2 2
0 1 2
3 2 0
1 0 1
2 0 1
3 2 1
1 0 2
2 3 0
2 1 1
10 2
0 0 3
0 1 1
2 2 0
2 2 2
3 0 0
3 0 3
1 1 2
1 3 3
3 2 2
0 3 1
10 3
0 0 0
1 0 1
0 0 2
0 1 1
0 2 1
2 1 2
2 1 0
1 2 1
2 1 1
1 0 0
10 3
1 1 1
1 1 0
1 1 2
0 0 0
2 2 0
0 2 0
1 2 1
2 1 1
0 0 2
1 2 0
10 6
1 2 0
1 2 2
1 1 2
2 0 1
2 1 1
1 1 1
2 2 0
0 0 2
1 0 1
2 0 0
10 5
2 1 1
1 2 1
1 1 1
0 1 0
1 0 0
0 2 2
1 2 2
1 2 0
0 2 1
2 0 2
10 8
1 0 0
2 0 0
1 1 0
1 1 2
0 2 2
1 0 1
0 0 2
0 0 1
2 2 0
1 2 1
10 7
1 2 0
0 1 1
2 1 2
2 0 1
0 2 0
0 1 0
0 2 1
0 0 2
1 1 0
1 0 1
10 7
2 2 1
0 1 1
2 1 0
0 2 2
1 1 1
1 0 1
0 2 1
0 0 2
1 2 2
2 0 1
10 7
0 3 3
1 3 2
1 3 3
0 3 0
2 3 1
3 1 2
3 0 1
3 0 2
3 2 1
2 0 1
10 3
1 1 0
0 1 2
2 2 2
2 2 0
0 0 1
0 2 2
0 1 1
2 2 1
2 1 2
1 1 1
10 6
0 3 3
3 2 2
1 1 3
1 1 1
1 3 2
0 0 3
3 3 1
3 0 0
0 3 2
3 1 1
10 8
2 1 0
0 0 2
2 0 2
2 1 1
2 0 0
0 2 0
1 0 2
0 1 2
2 2 0
1 2 2
10 8
0 1 2
1 1 2
1 2 1
2 0 1
2 1 2
1 1 1
2 1 0
0 1 1
2 0 2
1 0 1
10 3
0 0 0
1 1 2
1 1 0
3 3 2
2 3 3
1 0 0
3 2 0
3 3 3
1 3 2
0 3 1
10 2
1 0 0
0 1 2
2 1 1
1 2 2
2 0 2
0 0 1
2 2 2
1 0 2
1 1 1
0 0 0
10 4
0 3 1
1 1 1
1 3 2
3 1 0
2 0 3
1 2 0
1 2 1
2 1 1
2 0 2
1 2 3
10 3
1 2 0
2 2 1
3 3 0
0 1 3
0 3 2
2 1 2
2 1 3
3 2 3
1 3 1
2 3 3
10 4
2 2 2
0 0 1
0 1 2
1 1 0
0 1 0
0 0 2
2 1 0
0 0 0
0 1 1
0 2 0
10 7
2 0 2
2 0 0
1 1 0
0 0 1
2 2 1
1 1 2
1 0 0
1 2 1
0 0 0
0 0 2
10 2
0 1 0
3 1 2
0 2 3
0 0 1
3 3 3
2 2 1
3 0 2
2 3 0
3 2 2
3 1 3
10 7
0 3 3
1 0 0
3 2 2
0 1 0
0 1 2
2 3 1
0 2 0
2 2 0
2 0 3
3 3 3
10 9
2 0 1
1 2 0
1 0 0
2 1 2
0 1 1
1 0 2
0 0 1
2 1 1
0 2 1
1 0 1
10 5
2 0 1
2 2 0
1 2 1
1 2 0
0 0 0
0 1 1
2 1 0
0 0 1
1 1 2
1 0 0
10 7
3 3 2
1 1 2
3 0 0
2 3 3
2 0 3
0 1 1
1 2 3
0 3 2
0 2 0
3 0 3
10 5
0 1 1
1 1 0
1 0 2
2 0 0
2 1 2
1 1 2
1 2 1
0 2 1
1 0 1
0 2 2
10 6
1 0 0
3 1 2
3 0 3
3 3 2
0 1 2
2 1 1
3 1 3
0 2 3
0 3 3
0 1 3
10 4
2 0 2
0 1 0
1 1 2
0 0 1
0 0 2
2 1 0
1 2 1
1 1 0
0 2 0
0 1 1
10 5
1 1 2
1 0 1
1 0 2
1 2 0
0 2 0
1 2 2
2 1 1
0 1 2
2 2 0
2 0 2
10 6
2 2 1
2 2 0
3 0 2
1 3 3
3 1 1
2 2 3
1 3 0
2 3 3
1 1 2
1 2 0
10 6
0 1 0
2 2 3
2 3 2
2 2 2
3 3 2
3 2 1
1 3 0
2 1 2
0 1 2
0 3 2
10 5
2 0 1
3 1 0
1 0 1
0 1 0
1 2 1
0 3 3
3 1 1
3 0 2
3 0 1
2 2 3
10 3
1 2 0
3 1 0
3 0 1
1 2 1
3 1 1
0 1 1
2 0 2
1 3 2
1 0 0
1 0 3
10 4
2 3 1
1 0 0
1 0 2
1 3 0
0 2 0
1 2 3
0 3 0
0 3 2
0 2 1
1 3 2
10 9
0 1 2
2 1 2
2 0 1
1 2 1
1 1 1
2 2 1
2 2 0
0 2 0
2 0 2
0 0 2
10 3
1 1 2
0 1 1
3 3 2
3 2 2
0 2 0
0 3 3
1 1 3
0 2 3
3 2 1
2 1 3
10 9
3 3 3
1 3 0
3 0 0
3 3 0
0 3 1
2 0 2
2 1 0
1 0 3
3 0 1
0 0 2
10 7
2 3 2
3 2 3
3 1 2
0 1 0
0 3 1
3 0 1
2 3 1
1 2 3
3 1 1
1 2 0
10 4
0 2 0
2 2 0
1 0 2
0 0 2
1 0 0
1 2 1
0 1 1
2 2 1
1 0 1
2 1 1
10 8
1 2 0
0 3 1
1 3 1
0 3 3
3 3 3
3 2 2
1 2 3
0 1 0
1 1 2
2 3 1
10 9
3 3 3
1 1 3
3 1 1
3 1 0
0 1 3
0 3 3
3 1 3
0 1 1
0 2 0
2 1 0
10 4
0 1 3
3 1 3
1 1 0
2 0 0
3 0 3
1 0 3
0 3 2
1 0 2
3 2 1
1 1 3
10 5
2 1 3
1 3 2
0 1 1
3 2 0
0 1 3
1 2 2
3 1 1
1 3 1
0 1 2
2 0 2
10 4
0 1 2
0 0 2
2 0 1
0 0 0
2 2 1
1 1 2
0 1 0
0 2 2
1 0 0
1 2 1
10 2
0 1 0
1 1 0
1 1 2
2 2 1
1 0 0
1 1 1
1 0 1
2 1 1
0 0 1
0 0 2
10 4
1 2 2
1 1 0
3 3 0
0 2 3
2 1 1
0 0 1
1 3 3
1 2 1
3 2 3
3 2 1
10 3
1 0 1
1 2 2
2 0 0
3 1 0
2 1 1
0 3 2
0 0 1
1 0 0
1 0 3
3 2 3
10 9
0 1 0
1 2 2
1 2 0
0 2 1
1 1 1
0 0 0
0 0 1
0 0 2
1 1 2
0 1 1
10 6
2 3 1
1 3 3
2 3 0
0 0 3
1 0 2
1 2 0
1 1 1
2 1 0
0 0 1
1 1 0
10 7
0 0 1
3 3 3
0 2 1
1 3 3
2 2 2
2 0 2
0 0 2
1 2 3
2 2 0
2 0 3
10 6
3 0 0
0 2 2
3 0 3
2 1 2
2 0 0
3 3 2
1 1 1
3 0 2
1 2 0
1 1 0
10 3
1 3 1
2 1 2
3 0 0
3 2 1
1 1 0
1 3 3
2 2 0
3 3 1
3 2 0
3 3 0
10 5
1 2 2
3 3 3
0 0 2
2 1 2
3 0 2
1 1 1
1 1 3
3 2 0
2 2 3
0 2 0
10 5
0 1 3
2 3 0
1 0 1
0 1 1
1 1 3
2 1 2
3 1 1
1 2 2
3 2 3
2 1 0
10 2
2 1 2
3 1 3
1 2 0
3 0 3
2 3 2
3 0 1
2 2 3
1 1 1
0 1 2
2 0 0
10 5
1 0 2
0 0 0
1 1 1
2 2 0
2 1 1
2 1 2
2 2 2
0 2 1
0 1 2
2 1 0
10 7
0 0 0
3 3 0
0 0 3
1 2 1
0 3 0
3 2 0
1 0 0
2 0 1
3 1 0
2 1 3
10 6
2 2 1
3 3 1
0 3 3
0 0 0
3 0 0
0 3 2
0 1 0
2 0 2
2 2 0
2 3 0
10 2
2 1 2
0 0 0
0 0 2
1 1 2
0 2 1
1 2 0
2 2 1
0 1 0
0 2 0
1 2 2
10 7
0 0 1
0 2 2
2 1 1
1 0 0
1 2 1
2 2 1
1 2 2
2 2 2
1 1 2
2 1 2
10 3
2 1 0
3 3 1
2 3 1
1 0 3
1 2 2
2 0 2
1 2 1
3 2 1
0 3 2
3 1 3
10 6
2 1 0
0 2 0
2 2 2
3 1 3
2 1 1
3 3 0
1 0 3
3 0 0
2 3 1
3 1 0
10 5
1 1 0
1 0 0
0 1 1
0 1 0
1 2 1
1 1 2
0 0 1
1 0 2
2 2 2
0 2 2
10 9
3 1 1
2 2 2
2 1 3
0 3 1
2 0 0
0 0 3
1 0 2
3 1 3
2 2 0
1 2 2
10 7
2 3 2
1 0 2
3 3 2
2 3 3
3 3 0
2 0 2
0 1 1
1 3 0
0 2 1
0 0 0
10 6
1 2 2
1 2 0
0 1 2
2 0 0
2 1 0
1 0 1
2 0 1
2 2 1
1 1 1
1 1 2
10 8
1 1 1
1 1 3
3 2 1
1 1 2
0 0 3
3 1 1
1 2 3
1 3 2
0 2 0
3 1 2
10 5
1 1 0
2 2 2
1 2 0
2 1 0
0 2 2
2 2 0
1 1 1
0 1 1
2 1 1
0 1 2
10 5
0 2 0
0 2 1
2 1 2
1 2 1
1 0 2
0 0 1
2 1 1
1 2 2
2 2 2
0 1 0
10 8
1 2 0
0 1 0
1 1 0
1 0 0
0 1 1
1 0 2
2 2 1
1 2 2
2 1 1
1 1 2
10 6
1 0 3
2 1 0
3 2 1
3 2 2
2 3 1
0 1 1
3 3 3
0 3 3
2 0 2
0 2 3
10 3
2 0 0
1 3 0
1 2 3
1 0 0
0 3 1
1 0 2
1 0 1
3 3 2
3 0 2
2 1 0
10 6
1 1 0
0 1 0
0 1 2
1 2 2
0 1 1
2 2 1
0 0 1
1 0 1
1 2 1
0 2 0
10 9
3 0 3
3 1 1
3 3 2
2 2 1
2 2 0
2 1 3
0 3 1
3 3 0
0 2 1
1 3 0
10 9
3 1 3
0 3 0
2 2 1
2 0 3
2 2 3
1 0 0
0 1 0
2 1 1
2 0 2
0 0 0
10 3
0 3 0
1 2 3
1 2 1
3 0 0
2 1 1
2 0 0
3 1 1
0 2 1
0 0 1
3 3 2
10 5
0 2 1
1 0 1
2 1 0
0 0 1
0 0 0
2 2 0
0 0 2
0 2 2
1 2 1
1 2 2
10 2
1 0 2
0 2 3
3 1 0
3 1 2
1 1 2
1 3 0
1 3 1
2 3 3
2 2 2
3 0 3
10 2
0 0 1
0 1 1
2 2 0
1 0 1
1 2 0
0 1 0
3 1 0
0 2 0
0 3 0
2 2 2
10 5
0 1 2
2 0 0
1 2 1
1 0 2
2 1 2
2 1 0
1 0 0
1 0 1
2 2 1
0 1 1
10 8
2 0 3
0 2 0
0 1 2
1 0 2
3 0 1
1 3 1
2 0 1
0 2 2
2 3 3
3 0 2
10 8
1 1 0
1 1 1
0 0 0
0 1 2
1 0 1
2 1 1
1 2 1
0 0 2
2 2 2
0 2 1
10 7
1 2 3
1 0 0
3 3 3
2 0 2
0 2 3
2 1 3
0 0 3
1 0 2
1 1 0
1 1 2
10 9
3 3 3
1 2 3
3 3 2
2 0 2
3 3 0
0 2 2
1 0 3
0 3 1
3 1 1
2 0 3
10 8
1 3 1
0 3 3
2 0 2
1 1 1
2 3 3
2 3 1
2 0 3
3 1 1
0 2 3
1 2 1
10 3
0 0 1
0 0 0
0 1 0
1 2 0
2 1 0
1 1 1
2 0 0
2 2 1
2 2 2
0 2 2
10 8
3 3 1
2 0 0
3 2 3
3 0 0
0 1 1
2 0 2
2 1 3
2 1 1
1 0 3
2 0 1
10 5
3 1 3
0 3 0
1 3 0
1 2 3
2 2 2
1 0 0
3 0 0
1 2 2
1 3 2
0 0 0
10 4
1 1 1
0 0 0
1 2 1
0 1 0
1 1 2
2 2 0
2 1 1
1 1 0
1 2 0
0 2 0
10 7
1 1 2
1 2 3
0 2 2
3 1 3
0 0 0
2 1 2
3 1 2
3 3 3
1 3 2
2 1 0
10 4
2 2 0
0 2 0
0 1 0
2 2 2
3 3 1
3 1 0
1 0 3
2 3 3
0 1 2
1 0 0
10 8
2 1 2
0 1 2
2 2 0
0 0 1
1 0 2
2 1 0
0 2 1
0 0 2
2 0 2
1 0 1
10 3
2 0 2
0 2 1
1 0 0
1 1 2
0 1 1
2 2 2
1 1 1
0 2 2
2 1 1
0 0 1
10 7
2 0 2
1 0 0
1 1 2
0 2 0
0 0 2
2 1 2
1 2 1
0 2 2
0 1 1
1 2 0
10 8
0 3 2
0 1 2
0 1 0
3 2 1
1 3 2
1 3 1
1 3 3
2 3 2
3 0 0
1 2 1
10 9
1 2 2
0 2 0
2 1 0
1 1 1
0 2 1
2 2 1
0 0 1
2 1 2
0 1 2
1 0 0
10 4
1 2 0
2 1 0
2 0 0
1 2 1
2 2 1
1 0 0
0 2 0
0 2 1
0 1 2
2 2 0
10 5
1 0 1
1 0 2
1 2 0
0 1 0
0 0 0
0 2 2
1 0 0
2 2 0
0 0 1
2 1 1
10 8
0 2 0
1 2 2
2 1 1
2 0 2
0 2 2
2 2 2
1 2 1
0 1 1
0 1 0
2 2 0
10 5
1 2 1
2 2 2
2 1 1
1 2 2
2 2 1
0 0 0
1 1 1
1 1 2
1 1 0
1 0 1
10 5
2 1 0
1 3 1
1 0 3
2 2 2
0 0 1
2 3 0
0 2 2
0 1 1
3 2 1
0 1 2
10 9
2 1 2
1 0 2
0 0 2
1 2 2
1 1 2
0 2 1
1 1 0
0 1 1
0 1 2
0 2 0
10 5
1 2 1
2 0 2
2 0 1
1 2 0
1 0 2
1 1 2
2 2 1
2 2 2
2 0 0
0 1 1
10 4
1 1 1
0 2 2
0 0 0
1 0 0
0 0 1
1 2 0
1 0 2
2 2 1
2 1 2
2 0 0
10 4
1 2 1
2 1 2
0 3 0
2 2 0
1 2 2
3 3 0
3 1 0
2 2 1
2 0 1
0 1 3
10 9
1 2 1
1 1 2
0 0 1
2 0 2
0 1 0
2 1 2
2 0 0
0 0 2
2 2 0
1 0 0
10 6
0 1 2
1 0 1
2 0 0
2 1 2
0 0 1
2 1 0
1 1 1
2 2 0
0 0 0
1 2 0
10 9
0 2 1
1 2 2
0 2 2
0 1 1
1 0 2
2 2 2
2 1 0
2 0 1
0 0 0
0 1 0
10 3
1 0 1
2 1 0
0 0 1
1 2 0
2 2 0
2 1 1
2 2 1
0 1 0
2 0 2
2 1 2
10 8
1 1 0
0 1 1
0 2 2
0 1 0
2 0 1
1 2 0
0 2 1
2 0 2
2 2 1
0 0 1
10 5
0 0 1
2 1 2
0 0 0
2 0 1
1 1 1
0 0 2
1 1 2
2 2 1
1 2 1
1 0 1
10 4
1 2 2
0 2 1
2 0 1
0 2 2
1 1 1
1 1 0
0 1 2
2 2 0
0 1 1
2 1 0
10 2
0 0 2
1 0 1
0 0 1
0 2 2
1 1 0
0 2 0
0 2 1
2 0 2
0 1 1
2 2 1
10 5
2 1 3
1 1 3
3 1 0
2 2 0
2 1 2
3 1 1
1 1 1
0 3 0
2 2 3
0 3 2
10 5
3 1 2
1 2 1
0 3 1
2 3 1
1 2 0
0 0 2
1 1 0
2 2 1
3 3 3
1 0 1
10 9
3 3 3
1 3 3
3 1 2
0 2 0
3 2 2
1 0 1
2 3 1
0 3 1
3 3 1
1 2 3
10 6
3 2 3
3 1 3
2 2 1
0 2 0
3 1 0
1 3 3
2 3 3
0 1 0
2 3 1
1 2 1
10 5
0 1 2
0 0 0
0 1 1
0 2 1
0 0 1
0 1 0
1 0 0
2 2 2
2 0 2
2 2 1
10 3
1 0 2
2 3 2
0 3 2
1 3 3
2 2 0
0 2 3
0 3 0
1 1 0
0 1 2
2 3 1
10 4
2 1 0
0 2 0
0 1 0
0 2 1
0 0 2
2 0 1
1 0 0
2 2 0
1 1 2
2 2 2
10 3
3 0 1
2 0 3
2 3 3
3 2 0
1 1 3
1 0 1
1 0 2
2 2 0
1 1 0
3 1 3
10 3
2 0 2
1 2 0
1 0 2
0 2 0
2 2 2
2 1 0
1 1 2
1 1 0
0 1 1
0 0 1
10 7
1 1 2
0 0 1
0 1 0
1 0 2
0 2 0
0 2 1
2 0 0
1 2 0
2 1 0
2 1 1
10 6
3 0 3
0 0 3
3 1 0
3 2 1
1 1 2
0 1 1
2 1 0
1 2 1
1 1 1
0 3 0
10 9
0 1 1
2 1 3
0 1 2
1 0 2
2 2 2
2 3 3
0 3 3
2 0 1
1 2 1
2 2 1
10 3
1 1 0
1 2 3
0 1 2
2 3 2
1 3 0
2 0 1
1 1 3
3 1 2
2 3 0
1 0 1
10 7
1 3 3
1 1 3
0 1 1
2 3 3
1 2 1
0 0 3
0 3 0
0 1 0
1 1 0
1 3 0
10 8
0 2 3
3 3 0
1 2 2
0 0 0
1 0 2
2 0 1
0 1 0
1 0 0
1 0 3
1 3 0
10 2
2 2 1
1 2 2
1 1 0
1 1 2
0 0 2
1 1 1
1 2 1
2 1 1
1 0 2
1 0 0
10 7
1 2 1
0 1 2
2 0 2
2 2 0
2 2 1
1 2 0
1 0 2
0 1 1
0 2 1
2 1 2
10 3
2 0 1
3 1 2
1 2 1
1 2 2
3 0 3
3 2 3
1 3 1
2 0 2
0 1 0
3 0 2
10 6
0 0 1
3 0 2
3 3 3
0 0 3
0 2 3
3 1 0
0 2 0
2 2 3
1 0 3
2 1 0
10 9
2 0 1
0 2 1
3 3 2
0 1 3
2 2 2
3 2 1
1 3 2
3 3 0
1 0 2
0 3 0
10 6
2 1 0
1 0 2
1 1 0
1 0 1
2 0 0
0 1 0
0 2 1
2 0 1
1 2 0
0 0 0
10 4
1 0 1
1 3 2
2 1 3
0 0 3
0 2 3
1 2 1
3 3 1
1 0 2
0 2 1
3 0 0
10 4
1 0 0
2 1 2
1 1 3
0 0 0
0 2 3
0 1 1
2 3 2
2 1 1
3 2 1
1 3 2
10 7
2 0 1
1 1 0
1 1 2
2 2 0
0 0 1
2 1 0
1 0 2
2 1 1
0 0 0
2 0 0
10 6
3 0 2
1 1 0
2 0 3
2 3 3
0 0 0
2 2 1
3 2 0
1 1 2
3 3 1
1 2 1
10 4
0 0 2
1 1 3
1 0 1
3 1 2
0 0 3
3 3 3
2 3 0
1 3 0
0 0 0
3 0 2
10 8
2 2 3
3 1 1
1 0 0
3 0 1
3 2 3
0 0 3
0 1 1
2 0 1
1 3 3
3 2 0
10 2
0 0 2
0 1 2
2 0 3
1 3 1
2 2 3
3 0 2
1 0 2
2 1 3
1 0 1
0 3 2
10 4
1 1 1
2 0 0
1 1 0
0 0 1
1 2 0
2 0 1
0 2 2
0 2 0
1 2 1
0 0 0
10 9
3 2 2
1 3 1
2 1 0
1 2 1
0 3 0
0 1 0
3 0 3
2 1 1
3 1 3
2 1 3
10 2
0 1 0
3 3 3
2 0 3
3 1 0
2 3 3
3 2 2
1 3 0
1 2 0
1 3 1
0 3 0
10 4
0 1 1
2 2 2
2 0 2
1 2 3
3 3 1
2 0 1
2 3 1
0 1 0
2 1 0
2 1 3
10 3
2 3 0
3 0 3
1 0 2
0 3 1
1 0 0
1 2 3
1 0 3
3 3 3
0 3 0
3 3 0
10 2
1 1 2
2 2 0
2 0 2
2 1 2
0 2 0
1 0 2
1 2 1
1 2 2
0 1 1
0 1 0
10 8
0 1 1
0 1 0
0 0 0
2 0 3
2 2 2
3 3 2
1 3 2
3 2 0
1 2 0
2 3 0
10 3
0 1 2
3 0 2
3 1 0
3 2 0
0 3 3
0 3 2
2 0 2
0 1 0
3 2 3
0 0 3
10 9
1 0 2
2 1 1
2 2 0
2 2 2
0 2 1
0 1 0
0 2 0
2 0 1
2 1 0
2 1 2
10 4
2 0 1
1 3 1
3 1 2
0 1 1
1 2 1
2 3 2
2 3 1
2 0 2
2 3 3
3 0 2
10 3
0 3 3
1 3 1
0 1 0
3 2 2
2 3 2
3 2 1
0 0 1
0 0 2
1 2 2
3 0 3
10 3
1 0 1
0 1 2
1 0 2
1 2 1
2 1 1
1 1 0
0 2 1
0 1 1
2 2 1
2 2 2
10 4
1 2 2
1 1 0
2 0 1
2 0 0
2 1 1
0 2 1
2 0 2
1 1 2
2 1 0
2 2 0
10 9
2 0 2
3 0 0
2 2 2
3 2 3
3 0 1
2 3 1
0 0 1
0 3 1
1 1 0
3 1 1
10 8
3 2 1
2 0 0
0 2 1
3 1 2
2 0 1
1 1 2
0 2 0
2 1 1
2 3 0
1 2 2
10 7
0 2 2
2 2 2
1 1 2
0 0 2
2 0 0
0 1 1
1 1 1
0 1 2
0 0 0
1 2 2
10 8
2 0 1
0 2 0
0 0 0
1 0 2
1 1 1
0 2 1
2 2 0
0 1 0
1 2 1
2 2 1
10 3
0 0 0
2 2 0
0 0 2
1 2 2
0 0 1
2 2 1
2 1 2
0 1 1
0 2 0
1 1 2
10 6
2 0 2
0 2 0
2 0 0
0 0 2
0 1 0
2 2 1
1 2 2
2 1 0
0 1 1
1 0 1
10 9
0 3 2
1 2 2
0 0 0
2 1 1
1 0 3
3 3 2
3 1 3
1 3 2
2 0 2
3 1 2
10 5
1 3 1
1 0 1
1 1 0
0 2 2
2 0 2
2 1 0
2 1 2
2 2 0
0 2 1
2 2 2
10 5
1 2 0
1 1 1
2 1 2
2 2 2
1 0 2
2 1 1
1 0 1
0 0 2
2 2 0
2 0 0
10 6
0 2 0
0 3 3
2 3 0
1 1 0
1 1 2
3 1 0
0 0 3
2 2 2
3 0 2
2 1 0
10 3
2 1 0
1 1 0
0 2 1
1 0 1
0 2 0
1 1 1
2 0 1
1 0 2
1 2 0
0 1 1
10 6
0 2 1
3 2 0
1 1 2
3 1 2
2 3 3
0 0 0
1 3 1
3 1 3
2 1 3
1 1 0
10 7
2 2 2
0 1 0
1 0 0
2 2 0
2 0 2
1 2 0
1 1 0
0 1 1
2 1 1
0 0 2
10 9
2 0 0
1 3 0
0 3 0
1 1 0
0 0 0
2 2 1
3 3 0
3 3 1
2 1 1
2 0 3
10 4
1 2 2
0 0 0
2 2 2
1 0 0
2 1 1
1 1 1
0 0 1
2 2 0
1 0 1
0 2 2
10 6
0 1 2
1 2 0
0 2 2
3 2 1
2 3 3
0 2 1
2 2 1
0 0 2
3 0 3
1 0 0
10 5
1 0 2
2 0 0
2 2 0
1 2 0
0 1 0
0 1 1
1 1 2
2 0 1
1 0 0
1 2 2
10 2
1 0 1
0 1 1
2 1 1
0 2 1
1 1 1
1 1 2
2 2 2
2 2 1
1 0 0
0 2 0
10 8
3 0 0
0 1 3
3 1 3
3 2 2
3 0 3
0 1 2
2 0 3
0 0 2
0 2 1
2 3 0
10 2
3 3 2
2 0 3
2 3 2
1 0 1
0 3 1
3 1 2
3 2 0
1 1 3
0 2 3
2 1 3
10 5
2 1 2
2 2 1
0 1 2
1 0 3
2 0 2
1 1 3
2 0 1
3 2 1
3 1 0
1 2 3
10 7
1 1 0
2 3 2
3 2 0
3 2 3
1 2 0
1 2 3
2 0 3
2 1 1
1 1 1
0 1 1
10 9
2 2 0
2 1 0
1 1 0
1 0 1
2 1 2
2 0 2
2 1 1
2 2 1
0 2 1
0 0 1
10 2
3 0 0
1 3 0
2 3 3
3 2 2
0 0 0
0 1 0
3 0 2
0 0 2
0 0 3
2 0 0
10 7
0 1 2
1 0 1
2 0 2
1 1 2
0 2 0
0 0 2
0 2 2
2 1 1
1 1 1
2 2 2
10 4
1 0 1
1 2 1
2 1 1
2 2 1
1 1 1
1 2 0
0 2 0
2 2 2
1 2 2
1 1 0
10 5
0 3 1
2 1 1
2 1 0
2 3 2
3 3 2
3 2 1
2 2 1
3 0 3
0 0 2
2 3 0
10 2
0 2 0
2 2 2
2 2 1
1 1 0
1 1 2
0 1 2
0 0 2
2 0 1
2 1 2
1 2 0
10 8
0 0 0
1 3 0
0 3 3
0 3 0
2 2 0
2 0 2
2 2 2
3 0 1
3 0 0
3 2 2
10 2
0 0 2
1 3 2
0 1 0
3 3 3
1 2 1
0 1 3
1 2 2
1 3 1
1 0 2
2 3 3
10 5
1 0 0
0 0 1
2 2 2
1 2 2
1 1 0
2 0 1
2 0 2
0 2 2
0 1 0
2 1 0
10 2
2 0 2
0 1 0
1 0 1
0 0 1
2 2 0
1 2 0
1 0 2
1 1 2
2 1 2
0 0 2
10 3
2 1 0
0 0 2
2 2 2
0 1 0
1 2 2
0 2 2
0 1 2
0 2 0
2 1 2
1 0 0
10 4
0 0 0
2 1 0
1 0 2
1 2 1
0 0 2
0 2 1
2 0 2
2 1 2
1 1 0
0 2 2
10 7
3 3 1
2 0 1
2 3 1
2 1 3
1 2 0
2 3 2
2 2 1
1 1 2
0 1 2
1 3 3
10 7
0 2 0
2 2 1
2 2 2
2 0 3
3 2 2
3 1 0
1 0 2
2 0 2
3 2 3
2 2 3
10 9
1 3 1
2 3 3
3 2 3
2 1 0
0 2 0
3 0 0
2 0 2
0 0 2
1 3 3
3 0 1
10 4
0 1 0
2 0 0
2 3 2
0 1 3
3 1 3
1 2 1
1 1 3
0 2 1
2 2 1
3 2 2
10 7
1 0 1
1 1 0
1 1 2
0 0 2
0 2 0
1 2 1
0 2 1
2 0 2
2 2 1
0 0 0
10 7
2 1 2
1 1 3
2 3 1
3 1 2
0 3 3
0 1 3
3 1 0
0 0 1
0 0 3
0 3 1
10 8
1 0 1
1 0 3
2 1 0
3 0 1
1 3 0
2 3 2
2 0 2
1 3 1
2 0 3
0 1 1
10 3
3 3 3
2 3 2
3 0 0
1 1 2
0 3 2
2 2 2
3 1 2
2 1 0
3 1 3
2 3 1
10 8
1 0 2
3 3 2
3 0 1
0 3 3
1 0 3
3 0 0
0 2 1
0 2 3
3 2 2
3 2 0
10 8
3 0 0
0 1 2
1 2 1
2 3 3
0 3 1
2 3 0
1 2 0
1 1 1
2 0 1
3 1 2
10 7
1 1 0
0 2 0
1 2 0
0 1 1
2 2 0
0 0 0
0 0 2
2 2 1
1 0 2
0 1 2
10 4
2 1 1
2 2 1
2 1 2
0 0 1
2 0 0
0 2 2
0 2 1
1 1 1
1 1 2
1 0 0
10 7
3 0 0
3 2 2
1 3 0
0 0 1
3 1 1
0 0 2
2 2 0
2 3 3
2 2 1
3 2 1
10 8
0 0 1
1 2 1
0 1 2
0 0 0
1 0 0
1 0 1
0 1 1
0 2 0
0 2 2
2 1 0
10 7
2 0 1
2 1 1
3 3 0
1 2 1
1 0 0
3 0 3
0 1 0
0 0 2
3 2 1
2 3 0
10 7
3 2 3
0 1 0
0 0 0
1 2 1
2 1 1
2 2 3
1 1 0
0 3 1
2 3 3
0 0 2
10 2
0 1 0
1 0 1
1 2 0
0 0 0
0 3 1
1 2 1
1 3 2
1 0 0
0 0 1
0 3 3
10 8
1 2 0
1 2 2
2 0 2
2 2 1
0 0 2
2 1 0
1 0 0
2 1 2
2 0 1
0 1 0
10 4
1 3 0
0 3 0
1 2 3
2 0 1
1 0 3
2 0 0
3 2 1
3 1 2
2 1 2
3 2 3
10 7
1 0 2
1 0 1
2 0 1
0 2 0
1 1 2
1 0 0
2 1 0
2 0 0
2 2 2
2 1 2
10 9
2 1 1
0 0 2
0 2 1
0 0 0
0 1 0
2 2 1
0 1 2
2 0 0
0 0 1
0 2 0
10 3
3 2 0
3 3 1
1 2 3
0 1 1
0 3 3
2 1 1
2 1 0
0 0 1
1 0 2
1 1 3
10 6
0 0 1
1 2 1
2 2 1
1 0 2
2 0 0
1 1 1
0 0 0
1 2 2
2 2 0
2 0 2
10 5
1 1 0
0 2 2
0 2 0
1 0 2
1 2 1
1 1 1
0 2 1
2 0 1
1 2 0
0 0 0
10 9
2 0 0
0 2 1
3 0 3
3 0 1
2 1 0
2 1 2
0 2 2
2 0 1
2 3 2
2 3 3
10 9
2 0 1
0 0 2
2 0 0
2 1 2
1 1 2
0 1 2
0 2 1
1 1 1
2 1 1
2 2 2
10 5
0 3 3
3 1 1
1 0 2
3 3 0
0 2 0
1 2 3
0 2 3
1 0 1
1 2 1
1 0 0
10 9
0 2 0
1 0 1
2 2 0
1 1 3
0 0 2
1 0 3
2 3 3
2 3 2
3 1 2
3 2 0
10 7
1 3 1
3 2 3
3 2 1
1 0 0
3 1 0
0 2 0
2 0 1
0 2 2
0 3 1
1 2 1
10 3
0 0 3
1 1 2
3 2 1
3 3 2
3 1 0
1 2 0
1 1 3
0 2 2
1 2 3
1 2 2
10 9
2 0 1
1 1 1
2 2 0
0 1 2
0 2 1
0 0 0
0 1 0
0 2 0
2 2 1
1 2 0
10 9
3 3 3
3 3 2
0 1 0
0 2 3
0 1 1
1 1 0
1 0 1
3 3 0
2 1 0
3 2 3
10 6
2 2 0
3 0 3
3 2 1
2 0 3
2 1 2
0 0 2
1 0 1
1 3 0
0 2 2
1 3 3
10 9
3 0 3
0 3 0
3 2 1
1 3 3
0 1 0
1 2 0
1 2 3
2 0 3
3 0 0
2 1 1
10 2
1 1 0
3 0 0
2 3 0
1 2 2
0 3 3
3 1 2
0 2 0
2 1 0
3 1 3
1 3 2
10 2
1 1 1
1 1 0
0 2 1
1 0 1
2 1 2
1 0 2
2 2 1
0 0 1
2 0 0
0 1 1
10 2
1 1 1
2 1 0
2 2 1
0 2 0
2 1 2
1 2 1
2 2 2
2 0 0
2 0 2
0 2 1
10 2
1 0 0
2 1 0
2 0 1
1 1 2
0 0 0
0 1 0
2 2 1
0 2 1
2 2 0
1 2 2
10 6
1 2 2
1 3 2
3 1 1
1 1 1
2 3 3
1 0 1
3 0 1
1 0 0
3 1 0
2 1 3
10 5
2 0 1
0 1 2
2 3 1
1 3 1
1 0 1
0 1 0
0 0 0
2 1 0
3 0 0
1 3 3
10 9
0 2 1
0 1 0
1 2 2
1 0 2
1 2 1
1 1 2
2 2 0
2 1 2
0 2 2
2 0 1
10 4
0 1 2
1 0 2
2 2 2
1 1 0
2 0 2
2 1 0
0 0 1
2 1 1
1 0 0
2 1 2
10 4
2 2 0
1 0 2
0 0 2
2 2 1
0 1 2
2 1 1
0 2 2
2 1 0
1 1 1
1 1 2
10 4
3 0 2
2 1 2
2 3 0
2 0 1
1 3 2
2 1 0
3 2 3
0 3 0
0 0 1
0 3 2
10 3
0 1 1
0 2 0
1 1 0
0 0 1
1 0 0
1 1 1
2 0 1
1 2 0
0 0 2
0 1 2
10 9
1 2 0
0 1 2
1 2 2
1 0 2
0 0 2
0 0 1
0 2 0
2 0 1
0 1 1
2 1 1
10 9
3 2 3
3 0 2
0 2 2
1 1 1
3 2 1
2 0 0
2 0 2
0 3 3
2 3 1
3 2 2
10 5
0 2 2
0 1 2
2 2 2
0 0 1
2 1 0
2 0 0
2 0 1
1 1 0
1 1 1
1 2 1
10 2
0 2 1
1 0 0
3 1 3
2 1 2
1 2 0
1 2 2
2 2 0
0 3 1
2 2 1
1 3 2
10 9
3 2 0
2 1 1
2 1 3
3 0 3
3 0 2
1 1 1
2 0 1
1 3 3
0 2 1
2 1 0
10 2
2 2 3
2 1 1
1 2 2
2 3 1
1 2 0
2 1 3
1 0 3
0 1 0
2 2 1
2 1 2
10 2
1 1 0
1 1 1
0 2 1
0 2 2
2 2 2
1 2 1
0 0 0
1 1 2
1 0 2
2 1 1
10 2
0 2 2
2 1 1
0 1 0
0 2 0
2 2 2
2 0 1
1 1 0
0 0 2
1 1 2
1 0 2
10 8
2 2 0
0 0 1
0 2 2
2 0 1
1 0 0
1 2 0
1 0 2
0 1 2
1 1 1
0 0 0
10 3
3 1 2
0 2 1
2 3 2
3 1 3
1 2 1
2 3 3
2 1 1
0 2 3
3 0 3
0 0 0
10 8
0 0 2
0 0 0
0 1 0
2 1 2
0 0 1
2 1 1
2 0 0
1 1 1
0 2 0
2 2 2
10 3
1 2 2
3 3 2
3 1 2
0 3 3
3 2 0
2 0 1
3 2 3
1 0 2
3 0 0
0 1 3
10 9
3 0 2
1 2 1
1 0 0
0 1 1
2 0 0
0 1 2
0 2 1
3 1 0
0 0 3
0 0 1
10 5
0 2 2
1 2 2
0 1 1
0 1 0
2 2 0
2 1 0
1 0 2
0 2 1
2 2 2
1 1 1
10 9
3 2 2
2 2 2
0 1 2
3 0 2
2 0 3
1 1 3
0 3 1
1 1 1
3 2 3
1 3 1
10 9
0 2 1
2 2 2
0 1 1
1 0 0
1 1 0
0 0 0
2 0 1
2 1 0
1 2 1
0 0 1
10 8
2 1 3
3 1 3
1 2 3
0 3 0
0 3 2
3 1 2
3 3 1
3 2 0
1 0 1
3 3 0
10 4
2 2 1
2 1 2
2 1 1
0 1 2
1 0 2
0 2 0
2 1 0
1 1 2
0 2 1
1 0 1
10 4
0 3 0
2 3 1
3 2 2
3 2 1
1 3 1
2 1 2
0 2 1
3 1 1
3 0 3
1 1 2
10 3
1 2 1
1 1 2
2 0 2
0 1 1
0 1 2
2 1 2
2 2 2
0 0 0
0 2 2
0 2 0
10 8
2 1 0
1 1 0
0 2 1
2 0 2
0 2 2
0 0 0
0 1 2
1 2 0
0 1 1
1 0 2
10 9
0 1 1
2 1 0
2 0 2
0 2 1
1 2 1
0 0 0
1 0 0
2 0 1
2 2 2
1 1 1
10 2
2 2 1
0 0 2
1 0 2
0 0 1
0 1 1
2 0 0
0 1 2
1 0 0
1 1 0
1 1 1
10 8
0 3 2
1 1 3
1 0 3
0 3 1
3 0 1
3 3 1
3 3 2
0 0 2
1 3 2
2 0 3
10 9
2 1 1
2 2 2
1 1 2
0 2 2
1 2 0
0 1 0
2 2 0
1 1 0
2 0 1
2 0 0
10 6
0 1 1
0 3 3
3 0 3
2 3 0
3 1 2
0 1 3
2 0 1
3 2 3
0 2 0
3 2 2
10 8
0 1 3
3 1 1
2 0 0
1 3 3
0 3 3
0 3 2
2 0 2
3 2 2
3 3 1
2 3 0
10 4
1 1 1
1 0 0
2 2 0
2 0 2
2 1 0
2 0 0
0 1 1
1 1 0
0 0 1
2 1 1
10 9
2 2 2
1 2 1
1 1 0
1 2 0
1 1 2
1 0 2
2 1 2
0 0 1
0 2 0
0 1 2
10 2
0 0 0
2 0 0
1 0 1
0 0 2
2 2 2
1 2 0
2 1 2
1 2 1
2 0 2
0 1 0
10 7
2 1 1
0 2 0
0 1 2
0 0 1
2 1 0
0 2 2
1 0 0
2 1 2
1 0 2
0 0 0
10 9
0 0 1
2 1 0
0 2 2
2 3 0
1 3 1
3 0 0
0 3 0
2 1 2
0 0 3
3 1 0
10 4
1 2 0
1 1 2
2 1 1
1 2 1
2 1 0
2 0 2
1 0 0
2 2 1
0 2 2
2 2 2
10 3
3 0 3
3 0 0
1 0 2
3 3 1
0 3 2
1 3 1
1 3 3
1 0 3
3 3 2
1 0 1
10 5
0 1 1
1 1 1
2 0 2
2 1 1
2 2 0
2 0 0
0 0 0
1 2 2
0 1 2
2 1 0
10 3
3 1 0
3 0 0
0 1 1
2 2 1
1 0 1
1 1 2
3 0 3
1 2 1
2 3 3
3 0 1
10 3
2 3 2
2 2 0
2 2 2
2 3 3
2 0 1
3 0 3
2 3 1
0 2 1
0 1 1
1 3 2
10 8
1 1 0
2 2 2
0 2 2
0 1 2
1 0 0
1 0 1
2 1 1
2 2 0
1 1 1
0 0 2
10 8
1 1 1
2 1 1
1 1 2
0 2 3
1 3 3
3 3 2
2 2 2
1 0 3
0 0 0
1 2 0
10 2
0 2 2
0 1 2
1 0 2
0 1 1
0 0 1
2 2 2
2 1 0
1 2 0
2 0 2
0 0 0
10 8
2 2 1
2 0 1
0 0 2
1 0 2
1 1 1
2 2 2
1 0 0
2 1 0
2 1 2
0 1 2
10 5
2 0 2
3 2 1
0 0 1
0 3 0
0 0 0
2 2 3
3 0 2
1 2 1
3 2 3
3 1 3
10 6
0 0 0
2 2 0
0 2 1
1 1 1
2 1 2
1 1 0
1 2 2
0 1 2
1 0 1
1 2 0
10 5
0 2 0
3 3 1
3 3 0
2 2 2
0 1 0
2 0 2
3 0 3
1 0 3
0 3 0
2 3 3
10 4
2 0 0
3 1 2
3 3 0
2 1 1
0 1 1
2 2 1
3 0 1
2 1 2
0 1 2
3 0 3
10 3
2 2 2
2 0 0
3 2 3
2 0 3
0 1 0
1 3 0
0 0 1
2 3 2
1 3 2
3 1 0
10 4
3 2 0
3 3 1
0 0 3
1 0 0
2 3 2
1 3 0
0 0 0
1 3 2
0 1 3
3 2 2
10 3
2 2 1
1 2 1
0 2 2
1 2 2
0 0 2
2 0 0
0 0 0
2 1 2
1 1 1
1 0 1
10 9
0 2 0
0 1 2
2 2 1
0 2 1
1 0 0
0 1 1
1 1 1
2 1 0
2 0 2
2 2 0
10 8
1 0 2
2 2 1
2 0 2
0 1 0
0 2 1
1 1 0
2 1 1
0 1 1
2 2 2
1 2 0
10 4
3 3 1
2 3 3
0 3 1
1 2 2
0 0 1
1 1 2
3 1 1
3 3 0
2 2 1
0 2 0
10 8
3 1 3
3 2 3
1 0 2
3 1 0
2 0 0
2 3 3
0 2 0
0 1 3
0 3 0
3 1 2
10 7
3 0 0
0 2 2
3 0 1
0 0 1
0 1 3
1 2 2
1 3 0
3 2 1
1 1 2
2 3 1
10 9
0 1 2
2 0 1
0 0 1
1 2 3
2 3 0
3 1 2
0 1 0
1 1 3
3 0 3
2 2 2
10 3
2 0 2
2 1 2
0 2 0
0 0 1
1 0 1
1 0 2
0 1 1
2 1 1
1 0 0
2 2 1
10 5
1 0 0
1 1 2
1 0 2
1 2 1
2 2 0
0 1 2
0 0 0
0 2 0
2 1 0
1 2 2
10 2
2 0 0
0 1 2
2 1 2
0 0 0
1 2 2
1 1 1
1 1 2
0 1 0
1 2 0
2 2 0
10 6
0 3 2
2 1 3
0 1 2
0 3 0
2 1 1
1 2 1
2 0 2
2 2 1
1 2 3
1 1 0
10 7
1 1 0
1 0 1
2 2 0
0 2 2
2 0 2
2 0 0
0 0 1
2 1 0
0 0 2
1 2 2
10 4
1 1 1
1 2 0
2 1 1
1 0 0
2 2 0
1 2 1
0 2 0
0 0 1
1 1 0
0 1 1
10 7
2 3 0
0 2 2
1 2 2
0 0 2
2 2 2
2 3 2
1 3 0
0 3 3
3 2 1
3 2 2
10 9
1 0 1
0 0 0
0 1 2
0 2 0
1 0 0
0 1 0
2 2 0
2 1 2
2 1 1
1 1 0
10 8
2 0 1
0 2 2
0 1 2
0 1 1
0 0 1
0 0 0
1 1 1
1 1 2
0 1 0
1 0 1
10 9
2 0 2
0 0 1
1 0 2
1 2 2
0 0 0
1 3 3
3 3 0
1 1 2
3 3 1
1 2 1
10 3
1 2 2
2 1 3
2 2 2
2 2 3
0 0 1
2 3 2
1 1 0
0 2 3
2 3 1
3 0 2
10 2
0 3 3
0 3 0
0 1 1
2 0 2
1 2 3
3 3 3
0 0 2
1 2 0
0 2 3
0 1 0
10 4
1 0 2
1 0 1
0 0 0
1 3 2
2 1 2
2 1 1
0 2 3
0 3 0
2 0 2
3 3 1
10 4
2 0 3
1 0 3
3 1 0
0 3 1
0 1 2
0 2 1
3 1 3
3 0 3
2 1 3
1 0 1
10 8
3 1 2
0 3 3
1 3 1
0 2 2
1 0 3
1 2 2
2 3 3
2 0 3
1 2 3
2 3 2
10 3
0 0 2
1 3 0
3 3 3
0 3 0
0 1 0
2 2 1
0 3 3
3 2 0
0 2 3
3 2 1
10 5
1 2 1
1 1 0
1 1 1
1 2 2
1 1 2
0 0 1
2 1 0
0 0 0
2 2 2
0 1 0
10 9
2 1 2
1 0 1
1 1 0
1 0 0
1 0 2
1 2 2
0 1 2
0 1 0
0 0 2
1 2 0
10 2
2 0 1
1 3 1
0 0 0
2 3 3
0 0 2
3 2 0
1 2 0
3 0 1
3 0 0
3 0 2
10 8
2 1 0
1 2 1
1 2 0
0 1 0
0 1 1
0 0 1
0 2 0
0 0 2
0 2 1
2 1 1
10 9
2 1 0
0 1 0
2 2 0
1 0 0
2 1 2
0 0 0
1 1 1
2 2 2
2 0 2
1 1 0
10 6
3 3 2
0 2 3
0 0 0
1 0 1
0 0 3
3 1 0
0 1 2
0 3 0
1 0 2
0 3 3
10 4
3 1 0
0 0 1
3 3 0
1 3 2
2 2 1
2 3 3
2 3 1
0 2 0
3 0 1
1 3 0
10 5
0 0 1
3 2 2
2 0 2
2 2 0
3 0 1
1 2 3
2 1 2
1 3 2
2 3 1
1 0 2
10 9
2 2 2
1 0 0
2 1 2
0 0 0
0 2 0
2 2 0
0 1 1
1 2 2
1 0 2
0 0 2
10 5
0 1 0
2 0 2
0 0 0
2 2 0
0 2 0
1 2 2
0 1 2
2 1 1
1 1 2
2 0 1
10 8
1 1 1
2 2 0
0 2 0
0 0 0
0 1 0
0 1 1
0 2 1
1 0 2
2 0 0
2 1 0
10 8
2 2 0
3 1 1
0 1 0
2 3 3
1 2 2
2 3 2
3 0 2
2 0 0
3 3 0
2 1 1
10 3
0 3 1
1 1 3
2 1 0
0 1 0
3 3 2
3 3 0
2 1 1
3 1 3
3 2 3
0 0 0
10 5
2 2 1
3 0 1
3 2 2
3 3 0
2 3 0
1 0 2
1 1 0
0 3 1
2 1 3
0 0 0
10 3
1 2 2
0 1 2
2 2 1
1 1 1
0 2 2
0 2 1
2 1 0
0 0 2
1 0 2
2 0 0
10 5
0 1 2
0 0 2
1 1 2
2 0 0
2 1 2
2 2 0
1 1 0
2 2 1
1 0 2
2 0 2
10 8
2 2 0
2 3 0
0 2 3
1 2 2
0 2 1
1 0 1
3 2 0
3 1 0
3 1 1
2 1 2
10 6
1 0 2
2 1 1
1 1 2
0 0 0
1 0 1
0 1 2
2 2 2
0 0 2
2 0 0
2 0 1
10 7
2 1 0
1 1 2
0 2 1
0 0 2
2 3 1
2 2 3
2 3 3
3 1 2
2 0 1
3 1 0
10 6
1 1 1
0 2 0
1 2 2
2 0 2
0 0 0
1 1 0
1 0 2
2 0 1
2 2 1
2 2 0
10 7
0 1 0
1 0 1
1 2 2
1 1 1
0 2 2
2 0 2
1 0 2
0 1 1
1 1 2
0 0 2
10 2
0 0 0
1 2 1
3 1 3
2 0 0
1 1 2
0 0 1
2 1 3
0 3 2
0 1 3
0 3 3
10 6
3 3 2
3 0 3
3 2 1
0 2 2
2 0 3
3 2 2
2 2 1
3 0 2
0 0 0
3 1 1
10 8
2 1 1
2 2 1
0 2 2
0 3 3
3 0 3
0 1 0
1 2 3
3 2 3
0 1 1
3 2 1
10 6
2 0 1
2 0 2
2 1 0
0 2 1
1 2 2
2 0 0
2 2 0
1 1 2
0 1 1
0 1 0
10 3
1 0 2
0 2 1
0 1 0
2 0 0
0 1 1
1 0 1
2 0 1
0 1 2
2 1 0
2 1 2
10 3
0 2 2
0 3 3
1 0 2
3 2 2
2 1 2
3 0 3
0 1 1
1 3 3
0 0 2
2 1 3
10 6
1 2 0
0 1 1
1 2 2
1 0 2
0 2 2
2 2 2
1 2 1
1 0 1
0 0 1
2 1 2
10 7
2 2 0
1 2 0
0 3 1
0 0 0
1 3 3
1 2 1
3 3 3
2 2 3
1 1 0
0 0 3
10 4
2 1 0
0 0 0
2 2 1
1 0 2
0 2 2
0 1 0
0 2 0
0 2 1
1 0 1
0 1 1
10 6
1 2 1
0 2 2
0 3 3
0 0 1
1 1 1
3 3 1
1 0 1
1 2 3
2 0 2
2 0 1
10 7
2 3 3
1 1 2
3 1 0
3 3 2
2 1 0
1 3 3
3 2 0
3 1 2
2 1 2
0 2 0
10 9
2 3 2
1 1 1
1 3 3
1 0 0
3 1 1
2 1 1
1 1 3
0 3 2
2 3 1
2 0 1
10 8
0 1 1
2 3 2
1 2 1
0 0 2
1 0 2
2 1 2
0 3 1
0 1 0
1 0 3
3 1 3
10 9
2 2 2
0 3 3
2 3 0
0 2 1
3 3 0
0 3 0
1 0 2
3 0 0
1 0 1
0 2 0
10 5
1 2 1
1 2 0
0 2 2
2 1 2
2 0 1
1 1 0
1 0 2
2 0 2
2 2 0
2 1 1
10 9
3 1 1
2 2 2
2 3 3
1 0 3
0 1 1
2 2 3
2 1 3
1 3 2
3 1 3
3 1 0
10 8
2 1 1
2 0 0
0 0 1
2 1 2
1 1 1
0 2 0
2 1 0
0 0 0
2 2 0
1 2 2
10 5
3 1 2
0 2 1
2 2 0
3 2 0
1 2 2
3 0 2
2 2 1
1 1 3
0 0 0
1 3 1
10 7
2 0 3
0 2 2
1 0 0
1 3 1
2 1 3
1 1 2
0 1 0
3 3 1
2 2 3
3 2 1
10 2
1 0 1
2 0 1
3 3 0
3 3 2
2 2 1
0 1 1
2 2 2
3 1 1
3 3 3
3 2 0
10 3
0 0 1
0 1 1
1 0 1
1 1 2
2 1 1
1 0 2
0 0 0
0 0 2
1 1 0
1 2 2
10 6
1 3 1
0 1 0
0 0 3
3 3 2
2 1 3
2 2 0
2 1 0
0 1 3
3 3 3
2 3 2
10 7
0 0 1
1 0 2
0 1 2
0 2 0
1 1 2
1 2 1
2 0 1
1 0 0
2 0 2
0 2 1
10 2
0 0 2
0 0 1
2 1 1
2 2 2
0 0 0
1 1 0
0 2 0
1 0 0
0 1 1
2 2 1
10 5
2 0 1
1 0 2
1 0 0
0 1 0
1 2 0
2 1 1
2 0 2
2 0 0
2 2 0
2 2 1
10 3
1 2 2
0 0 0
1 0 1
1 0 2
0 0 1
0 1 0
2 2 1
1 1 1
0 2 1
2 0 0
10 4
0 0 0
2 2 0
1 1 1
0 1 0
2 1 0
0 2 2
0 1 1
2 0 2
0 2 1
2 2 2
10 4
2 2 0
0 1 2
0 1 1
1 2 0
1 2 1
0 1 0
1 0 0
2 1 0
1 1 0
2 1 2
10 9
2 3 2
0 2 3
1 3 1
1 3 2
3 1 1
0 1 0
2 1 3
0 0 3
2 0 2
1 2 1
10 8
2 1 1
1 1 1
2 1 0
0 0 0
0 2 2
0 0 1
1 0 2
1 0 0
1 1 2
2 0 0
10 3
3 2 1
2 2 3
3 3 2
3 3 0
0 1 3
1 3 0
1 2 3
2 0 2
3 1 1
1 2 0
10 9
0 0 2
0 2 1
1 0 0
2 0 2
1 0 1
0 0 0
2 2 1
1 2 2
1 2 0
2 1 1
10 7
0 0 2
0 1 1
1 1 2
1 2 1
1 1 1
2 0 2
0 2 0
0 2 2
1 0 1
0 0 0
10 2
1 2 1
2 1 2
1 1 1
2 0 1
2 1 1
1 2 0
0 0 0
0 2 2
1 2 2
2 1 0
10 7
1 1 0
0 0 2
1 2 3
0 2 0
1 0 1
1 1 1
3 2 2
3 2 1
1 1 2
2 0 0
10 3
1 0 0
1 2 0
2 2 1
1 2 2
1 1 0
1 1 2
0 1 0
2 0 1
1 1 1
1 2 1
10 8
3 3 0
2 2 2
1 0 3
0 1 2
1 0 0
2 2 0
3 0 1
2 3 0
1 1 3
3 1 3
10 2
2 1 2
2 0 0
1 2 1
0 2 1
0 2 0
2 1 1
1 0 0
0 1 0
0 0 2
2 2 1
10 7
3 0 0
3 3 1
2 1 1
3 3 3
2 0 1
2 2 2
2 3 3
1 3 1
3 0 3
0 1 3
10 3
2 0 1
2 2 1
2 1 1
0 1 0
1 2 2
0 0 2
0 1 1
0 2 2
0 2 0
1 0 1
10 3
2 0 0
2 1 0
1 0 1
0 0 2
2 2 2
0 1 2
0 2 1
1 1 1
1 1 2
0 1 0
10 2
3 1 1
2 0 3
3 2 2
1 0 1
1 1 3
2 2 0
1 3 2
3 0 2
0 1 1
0 3 3
10 2
0 3 0
3 1 2
0 1 0
0 2 1
2 0 1
3 3 1
0 1 3
0 3 3
1 1 1
1 1 3
10 5
1 1 2
0 2 0
2 1 1
1 0 0
2 0 2
2 2 0
1 0 1
2 0 0
0 1 1
0 1 0
10 9
2 0 0
2 2 2
1 2 0
0 0 1
2 1 2
1 0 2
1 2 2
0 1 2
1 0 1
0 1 1
10 4
1 0 0
0 2 1
0 0 0
0 1 0
0 1 1
0 2 0
2 0 0
1 1 0
1 0 1
2 1 1
10 5
2 1 0
2 0 2
1 2 0
0 2 0
2 2 2
2 2 0
0 1 0
0 0 2
1 1 0
1 2 1
10 8
3 2 3
0 1 0
0 2 1
2 1 1
3 1 0
1 3 2
2 1 2
1 0 1
0 0 2
2 2 0
10 6
2 3 0
0 1 3
2 0 1
1 0 3
3 2 0
3 2 1
0 1 2
2 1 3
3 2 3
2 1 2
10 5
0 2 2
0 2 1
2 1 0
1 1 2
2 2 2
0 2 0
2 0 2
0 1 2
0 0 0
2 1 2
10 3
1 0 0
2 0 1
1 1 0
0 2 1
1 2 2
1 1 1
0 0 1
0 1 0
2 2 2
1 0 2
10 3
1 1 2
1 3 2
2 1 2
0 0 2
0 1 0
3 3 0
3 3 2
1 1 0
2 3 3
3 2 1
10 8
3 1 2
3 0 1
2 1 0
2 0 0
3 3 3
3 0 2
3 1 0
2 1 1
2 3 0
3 2 3
10 4
2 0 0
0 2 2
2 1 0
0 2 1
2 0 1
2 2 0
2 1 1
1 1 0
1 2 0
1 0 1
10 7
0 1 2
3 2 0
3 3 0
2 0 1
0 1 0
1 2 0
1 3 3
2 3 1
3 0 3
0 2 1
10 5
2 1 0
0 1 1
1 0 3
0 0 3
2 3 0
2 3 1
3 1 2
3 2 1
1 3 2
1 2 1
10 5
0 0 2
1 1 0
1 2 0
0 1 0
0 2 0
0 1 2
1 2 2
0 0 0
0 1 1
2 0 0
10 9
3 0 0
2 2 2
1 2 1
0 3 0
1 1 2
2 0 3
1 0 2
1 3 2
3 0 2
0 3 1
10 5
2 1 0
2 2 2
1 1 1
2 0 1
2 1 2
1 0 0
1 2 2
1 0 1
0 2 2
1 1 0
10 5
0 2 1
0 2 0
1 0 0
2 0 1
1 1 1
1 2 0
0 1 2
1 2 1
2 0 2
2 1 2
10 6
0 3 1
1 1 2
0 0 3
0 2 1
2 1 3
2 0 0
1 2 2
0 2 3
2 2 0
3 0 0
10 5
0 2 0
0 1 2
1 1 2
1 3 1
0 3 2
0 2 2
2 3 1
1 1 0
0 0 3
0 2 3
10 8
3 2 2
1 2 3
3 0 3
2 1 1
1 3 0
2 1 0
0 3 0
0 2 1
1 1 0
2 0 2
10 2
2 1 1
0 0 0
2 0 0
1 1 2
1 2 0
2 2 1
0 2 1
2 2 2
0 1 2
0 2 0
10 9
2 1 2
2 1 0
2 0 1
2 2 1
0 2 2
0 0 0
0 0 1
1 0 0
1 2 2
1 0 2
10 4
0 0 0
2 2 3
2 1 2
1 2 2
0 1 3
0 3 0
3 0 3
1 3 0
1 1 3
1 0 3
10 7
3 0 0
1 0 1
1 3 2
0 0 3
1 1 1
2 3 2
3 1 2
2 1 1
2 2 0
3 1 1
10 4
1 2 0
1 2 1
2 0 0
2 0 2
2 1 0
0 0 2
1 2 2
2 1 1
1 1 1
2 2 2
10 4
1 2 2
1 0 0
0 2 2
2 2 0
0 2 0
1 1 0
2 2 1
1 2 1
2 2 2
1 1 1
10 7
2 1 1
2 1 3
0 0 0
1 3 3
0 2 2
1 3 0
0 0 1
3 1 0
1 0 1
0 1 1
10 8
1 0 3
1 2 3
0 2 0
1 0 1
0 3 3
3 0 1
1 1 1
0 1 1
2 2 0
2 2 3
10 9
0 1 1
0 2 2
1 0 2
3 2 2
3 3 1
2 2 2
3 0 2
3 0 0
1 1 3
0 2 0
10 9
1 0 1
0 0 2
0 0 0
2 2 0
0 2 1
0 0 1
1 0 2
1 1 0
2 0 0
1 2 1
10 6
1 0 0
2 0 2
0 1 2
2 1 2
0 2 1
0 1 0
0 0 0
1 1 2
2 2 0
0 1 1
10 4
1 2 1
2 2 1
0 0 2
0 0 0
2 1 2
2 2 2
1 1 0
0 1 0
1 1 1
1 0 2
10 3
2 2 2
2 2 3
2 1 1
2 1 3
1 0 1
0 0 2
1 1 2
1 1 3
0 3 0
3 2 0
10 2
0 2 1
3 2 3
2 3 1
0 3 2
1 0 2
2 1 3
3 1 0
0 3 1
2 1 1
2 0 0
10 6
2 2 1
2 0 1
2 1 1
2 2 2
0 2 2
1 0 2
0 0 1
2 1 0
2 0 2
0 1 2
10 3
1 1 2
2 2 2
1 2 0
0 1 2
1 0 0
0 2 0
2 0 2
0 0 1
1 0 2
1 1 1
10 3
1 0 1
1 1 2
1 0 2
2 1 2
1 2 0
0 2 1
1 2 1
2 1 0
2 0 2
0 1 1
10 9
0 1 3
0 2 2
1 0 2
3 0 3
0 2 1
1 1 3
3 2 2
3 2 3
2 3 2
1 3 0
10 9
1 2 0
2 1 2
0 1 1
0 1 2
0 2 2
1 0 1
0 2 1
0 1 0
2 1 0
1 1 1
10 9
3 0 3
0 2 1
1 2 2
2 3 3
0 3 1
1 3 3
2 1 3
1 3 2
1 1 3
3 1 2
10 2
1 2 3
1 0 0
3 3 0
2 1 1
2 1 3
0 3 3
3 2 1
0 2 0
1 3 3
1 3 1
10 5
0 0 2
0 2 0
1 0 1
1 1 1
2 0 2
1 2 1
2 1 1
2 0 0
0 1 0
1 1 0
10 7
3 0 3
3 2 2
1 0 2
1 1 0
0 1 3
0 2 1
1 1 3
1 1 1
3 3 1
0 0 0
10 4
2 2 1
0 2 1
0 0 0
1 2 2
2 0 1
2 1 2
1 1 0
1 0 0
2 2 2
2 1 0
10 6
2 1 0
0 0 2
0 0 0
0 1 1
1 2 1
0 1 2
1 2 0
2 0 2
0 2 2
0 1 0
10 4
2 0 0
1 1 0
1 0 1
0 2 1
1 2 0
2 2 1
1 1 1
1 0 0
2 2 0
0 0 1
10 2
0 2 1
2 2 0
2 1 1
2 2 2
0 0 0
2 1 2
1 1 2
0 0 2
0 1 2
1 2 1
10 2
3 2 1
1 2 1
2 2 2
1 0 2
1 1 3
2 1 3
1 3 0
1 2 2
2 3 1
0 2 1
10 5
1 1 2
2 0 1
1 2 1
0 2 1
1 1 1
0 2 0
2 1 2
0 1 0
2 2 2
0 0 0
10 7
2 2 0
0 2 1
0 0 2
2 1 0
0 1 2
0 0 1
2 1 1
2 2 1
2 2 2
1 2 1
10 8
2 2 1
0 2 1
0 1 2
1 2 1
2 0 1
0 1 0
1 2 0
1 1 1
1 0 2
0 2 0
10 5
1 0 0
1 0 2
1 2 2
2 1 1
2 2 2
1 1 0
2 0 2
2 2 0
0 0 0
0 2 1
10 2
0 0 2
1 0 1
2 0 1
1 2 1
2 1 2
2 0 2
2 1 1
1 1 2
1 0 2
0 1 2
10 6
0 1 0
1 2 2
2 2 2
2 1 2
0 1 2
0 2 1
2 0 2
2 0 1
1 1 1
2 1 0
10 7
0 2 0
0 1 0
1 2 2
0 0 1
0 0 2
1 1 1
0 1 1
1 1 2
0 2 1
1 2 1
10 5
2 2 2
0 1 0
2 1 2
0 2 2
2 0 0
1 0 0
1 0 2
2 1 1
1 2 2
0 1 2
10 8
2 0 3
1 3 1
0 3 3
0 1 1
2 3 2
0 3 1
1 1 2
1 2 3
0 1 3
0 2 1
10 9
1 2 0
0 2 0
1 1 1
0 1 0
0 2 1
1 0 2
1 2 2
0 0 0
1 1 0
2 0 2
10 2
3 2 3
2 3 0
3 3 3
1 2 2
1 0 2
1 3 2
1 0 3
2 0 3
1 1 0
2 1 1
10 6
2 1 2
0 1 0
0 3 0
1 1 1
0 0 0
2 1 3
3 3 1
2 1 0
0 2 1
2 3 1
10 3
2 0 0
1 0 2
1 0 0
0 1 1
2 1 1
0 2 0
0 0 2
2 1 0
2 0 1
1 2 2
10 5
0 2 0
2 2 1
1 2 1
2 0 2
0 1 0
2 0 1
2 1 0
0 0 0
0 2 1
1 0 0
10 7
0 2 1
2 2 1
2 2 3
3 0 2
1 0 2
0 0 2
2 3 1
0 0 1
1 3 3
1 1 2
10 6
0 2 3
0 1 3
3 1 3
2 3 1
1 3 1
3 1 2
0 1 0
1 0 3
3 0 2
3 3 1
10 8
1 1 1
1 0 2
1 0 1
1 1 0
1 2 0
0 1 0
2 1 1
2 0 1
0 1 1
0 0 0
10 9
0 0 1
0 0 2
1 1 1
2 1 1
2 2 2
0 1 2
1 0 2
0 1 0
2 2 1
2 0 2
10 2
0 0 1
0 0 0
0 1 1
1 0 1
1 1 1
2 2 2
1 2 0
2 1 0
1 1 2
1 2 1
10 2
0 3 0
2 2 2
2 2 1
3 1 1
2 3 0
1 2 3
0 0 1
0 2 0
0 1 1
1 3 0
10 8
2 3 3
3 2 2
3 3 1
0 3 3
3 2 3
2 3 0
1 0 3
0 1 2
0 2 1
1 3 2
10 4
1 1 1
0 1 2
2 1 0
1 2 2
2 2 0
1 1 2
2 0 0
2 0 1
0 2 0
0 0 0
10 3
1 3 0
2 1 0
3 0 1
0 3 3
1 0 1
0 3 1
3 1 2
0 0 1
0 1 1
3 3 1
10 9
2 3 2
3 0 3
3 0 1
1 2 0
0 0 1
3 3 2
0 2 1
0 3 2
1 3 0
2 1 0
10 8
2 2 2
3 1 2
3 1 3
1 1 0
2 2 3
1 2 0
1 3 0
0 2 3
1 0 1
3 3 1
10 9
1 0 2
1 0 0
1 1 0
2 2 1
1 1 2
0 1 1
2 2 0
2 1 2
2 0 1
1 0 1
10 4
1 0 2
1 0 0
0 2 2
0 0 2
2 1 2
0 2 0
2 1 1
3 3 3
1 0 3
2 1 0
10 2
1 0 2
0 1 2
0 0 0
1 2 1
0 2 0
2 2 1
0 2 2
2 0 0
1 1 1
2 2 2
10 2
0 0 0
1 1 0
2 1 1
3 3 3
2 0 0
0 2 3
1 0 2
3 3 1
3 0 1
0 1 3
10 6
2 1 2
0 2 3
1 1 0
3 3 3
2 2 3
2 3 0
0 1 2
2 2 2
3 2 2
3 3 2
10 4
1 1 3
1 2 2
2 1 3
3 2 1
0 1 1
3 0 3
2 2 1
3 3 2
1 2 1
0 3 2
10 2
1 2 3
0 0 2
0 0 1
2 3 3
3 1 3
1 2 2
1 1 3
0 2 0
2 1 2
3 3 1
10 2
3 0 2
1 0 0
3 2 2
2 2 2
2 3 2
1 1 0
0 2 1
1 1 3
0 0 3
2 0 0
10 3
1 1 0
1 3 2
3 2 2
2 1 3
2 0 1
0 2 3
1 1 3
3 0 0
0 0 0
1 0 1
10 6
1 3 2
3 0 3
0 1 1
1 2 0
3 1 1
1 1 2
0 2 1
0 0 3
0 0 1
3 3 0
10 8
0 1 0
1 1 0
1 2 1
2 1 2
2 1 0
0 0 2
2 0 1
1 1 2
0 0 0
0 2 2
10 7
2 1 1
0 2 2
1 1 0
2 0 1
0 2 1
1 2 1
2 2 1
1 2 2
1 1 2
2 0 2
10 7
1 1 3
2 1 3
0 1 1
1 1 2
2 3 0
2 3 3
1 2 3
3 1 2
3 3 3
3 1 0
10 7
1 2 2
1 0 2
2 0 1
2 1 0
3 3 2
2 1 2
2 0 3
0 2 0
0 0 1
1 0 1
10 7
0 1 0
0 2 2
2 2 1
1 1 1
1 2 1
2 1 1
0 2 1
2 1 0
1 1 2
2 2 0
10 8
0 0 3
2 2 3
3 3 1
2 1 3
3 1 3
0 2 0
0 3 1
0 0 2
0 2 3
3 3 2
10 7
2 1 2
0 1 2
0 2 2
2 3 3
1 3 2
0 2 3
0 1 1
3 2 0
0 1 3
0 0 2
10 2
0 2 1
3 1 1
2 1 1
3 2 3
0 0 0
1 3 0
0 2 0
1 1 3
0 0 1
2 2 0
10 5
1 0 3
0 3 3
3 3 2
2 3 0
1 2 0
3 1 3
2 1 2
0 1 3
0 3 1
1 1 0
10 7
0 0 1
1 2 0
2 0 1
1 0 2
2 2 1
1 2 1
1 1 1
2 2 2
1 1 2
1 1 0
10 8
1 2 2
0 0 3
3 0 3
0 1 3
2 0 3
0 3 0
1 0 2
3 3 3
2 0 0
0 3 1
10 3
1 3 0
1 0 1
2 1 2
0 3 3
1 2 3
0 3 1
3 0 2
2 1 3
1 1 0
2 3 1
10 2
0 2 1
1 0 1
2 1 0
2 2 2
2 2 0
1 2 0
0 1 0
0 0 2
1 1 2
2 1 2
10 2
0 0 0
0 1 1
0 2 2
2 1 1
1 2 2
1 1 1
0 2 1
2 2 0
1 0 2
2 2 1
10 6
2 0 2
1 0 2
2 2 0
0 1 0
0 0 1
1 1 1
0 0 2
1 1 2
1 2 1
2 1 2
10 6
2 1 1
0 1 1
2 0 1
3 0 0
2 0 2
3 1 1
1 3 2
2 2 1
2 0 3
1 1 1
10 2
2 2 2
2 0 1
1 2 0
0 0 3
3 3 1
2 3 2
1 0 3
1 3 3
1 0 1
2 1 1
10 8
2 1 0
2 2 0
1 0 1
2 0 2
0 2 2
1 1 0
0 0 2
0 0 1
0 0 0
1 1 1
10 2
0 3 1
1 2 3
2 2 3
1 0 0
3 3 2
0 2 2
2 0 1
1 3 2
1 0 1
2 1 1
10 8
0 1 0
2 2 2
1 2 3
0 1 1
1 3 1
0 3 1
0 0 2
1 0 1
1 3 2
0 1 2
10 6
3 1 1
0 3 2
0 0 3
1 1 0
2 1 2
0 2 2
2 0 1
3 3 3
2 3 1
0 2 0
10 7
0 0 0
2 1 2
2 2 3
0 2 3
0 2 2
3 1 1
0 1 3
0 1 1
2 1 0
1 1 1
10 5
0 3 1
3 1 1
3 3 1
0 0 3
0 2 1
2 2 1
0 1 3
3 3 3
1 0 0
3 0 1
10 5
1 0 2
3 3 2
3 2 0
3 2 3
1 1 3
3 2 2
2 3 2
1 1 2
3 1 1
2 2 3
10 2
3 2 1
0 2 3
2 3 0
0 1 1
2 0 0
3 0 1
1 3 3
1 1 0
0 2 2
0 0 2
10 3
3 1 1
0 3 2
1 0 3
0 0 1
1 0 2
1 3 0
2 2 3
0 3 0
0 2 2
3 0 1
10 5
3 1 0
3 3 3
2 3 0
1 0 3
2 1 0
0 1 0
2 3 2
2 2 1
3 3 0
3 2 3
10 6
2 1 1
1 2 0
2 1 0
0 0 2
0 0 1
1 1 1
1 2 1
0 1 0
2 0 0
0 2 0
10 7
1 2 2
1 0 0
3 1 3
3 3 3
0 3 1
0 1 2
1 1 1
2 0 0
2 1 1
1 2 0
10 3
3 1 3
3 2 3
3 0 2
3 1 0
3 0 0
2 2 3
3 3 3
3 3 2
0 2 0
0 3 0
10 5
1 1 1
0 1 0
2 2 0
2 0 2
0 2 2
0 0 2
2 1 0
2 2 1
2 2 2
1 2 2
10 9
2 1 2
1 0 0
2 0 2
1 1 2
0 2 0
2 0 1
0 0 0
0 1 1
1 2 2
0 2 2
10 4
2 1 2
0 1 1
2 0 2
0 2 1
2 2 0
1 2 0
1 1 0
2 0 0
2 1 1
0 1 0
10 8
0 0 2
2 1 2
0 1 0
2 0 2
1 0 1
1 0 0
0 0 1
1 2 1
0 1 2
1 0 2
10 2
2 1 2
2 1 1
0 1 0
0 0 0
2 1 0
1 0 2
0 2 2
0 1 2
0 0 2
1 2 0
10 9
2 2 0
3 1 1
2 3 2
2 0 0
3 1 0
3 0 2
3 0 0
2 0 3
2 1 0
3 2 0
10 5
1 0 2
1 1 2
1 2 0
0 0 2
3 0 1
2 2 0
2 0 1
1 3 3
1 3 0
2 1 3
10 2
2 1 2
2 0 0
0 0 0
0 0 2
2 2 0
1 0 0
2 0 2
2 2 2
1 1 2
1 2 1
10 7
3 1 1
1 2 3
1 3 1
2 2 0
3 0 0
3 3 0
3 1 3
0 1 3
3 3 1
3 3 2
10 7
2 3 2
3 2 0
0 1 1
1 0 3
0 0 1
1 3 0
3 3 3
3 0 3
1 3 3
0 1 3
10 7
2 1 0
0 2 1
1 2 1
2 0 0
2 2 1
2 1 2
1 1 1
2 0 1
2 0 2
1 1 0
10 4
0 2 2
2 1 2
2 1 1
2 1 0
1 2 1
0 1 1
0 1 2
2 0 1
0 0 2
2 2 2
10 7
3 0 0
3 2 1
0 0 0
0 3 2
0 3 0
3 0 2
2 1 2
0 0 1
2 1 0
0 0 3
10 7
2 1 3
3 1 1
1 1 2
1 2 2
2 2 2
0 1 2
0 1 1
3 0 2
3 3 0
0 0 1
10 6
1 0 1
0 1 2
3 2 0
2 0 2
2 1 0
3 1 3
0 1 3
3 0 3
0 0 1
0 3 1
10 2
2 1 2
1 2 0
1 1 1
2 2 2
1 0 0
1 2 1
0 2 1
1 0 1
2 0 2
0 0 2
10 3
1 1 2
2 0 0
1 0 1
1 0 2
2 0 2
2 1 0
1 2 1
0 0 1
2 0 1
0 1 2
10 6
3 2 2
3 3 2
1 0 3
2 2 3
1 1 2
0 0 3
1 2 0
2 0 3
3 1 1
0 3 3
10 3
2 1 2
1 1 2
0 0 2
2 0 0
1 2 0
0 1 1
2 0 2
1 2 2
2 1 1
2 1 0
10 5
2 3 0
0 0 3
1 3 2
3 0 2
2 2 3
2 3 3
0 1 2
1 3 3
0 0 1
1 0 0
10 3
1 0 2
0 1 1
2 0 0
1 1 2
1 2 2
0 2 0
0 1 0
1 1 1
1 2 0
2 2 0
10 7
2 0 1
2 0 0
0 1 1
0 2 1
3 2 3
2 3 2
1 3 0
0 0 2
2 3 0
1 0 2
10 6
0 1 2
2 2 1
2 2 0
2 1 1
2 0 1
0 2 0
2 0 0
2 2 2
2 1 2
0 1 1
10 8
2 2 0
1 0 1
1 0 2
0 0 1
2 0 2
0 0 2
2 2 2
0 2 0
1 2 0
0 1 1
10 4
0 0 1
0 0 3
0 1 2
2 1 1
2 1 2
0 0 2
2 3 2
1 0 0
2 2 3
3 0 1
10 4
0 0 1
1 0 1
1 1 0
2 0 0
1 1 1
0 0 0
0 1 2
1 2 1
0 2 0
0 2 1
10 2
2 1 1
1 2 1
1 1 1
0 1 0
0 2 1
1 2 2
1 0 0
1 0 2
0 2 2
0 2 0
10 7
1 3 1
0 3 3
0 0 3
1 1 1
2 3 3
0 1 3
2 2 2
2 2 1
2 0 1
2 0 0
10 6
0 3 3
3 2 2
2 1 2
2 3 2
3 1 0
1 1 0
1 2 3
0 3 0
0 2 1
2 3 0
10 8
0 2 1
3 2 0
1 0 3
0 1 1
1 3 2
2 2 0
2 0 3
3 3 1
2 3 1
3 0 3
10 9
1 0 1
0 1 0
2 2 2
0 1 2
0 1 1
0 2 2
1 0 2
1 2 1
2 0 2
2 2 1
10 8
0 3 3
1 0 2
1 0 1
1 3 3
1 2 2
2 3 1
0 1 0
2 3 3
0 2 1
0 3 1
10 2
1 2 1
2 2 1
2 1 2
0 1 2
1 1 2
1 0 1
1 0 0
2 0 2
0 0 0
2 1 1
10 5
1 0 2
2 0 1
1 3 1
0 2 3
2 3 1
2 0 2
1 2 2
1 0 0
3 0 1
3 0 2
10 7
2 3 1
1 0 0
2 2 0
0 1 2
0 3 1
3 0 0
2 2 3
2 3 3
0 0 0
0 2 3
10 4
2 0 3
1 2 3
3 1 3
0 1 1
2 3 3
2 1 2
3 3 1
3 1 2
0 1 2
1 0 2
10 3
0 3 0
1 0 3
3 0 0
0 3 1
1 1 0
1 1 2
0 3 3
2 1 3
3 3 1
2 1 2
10 7
3 3 3
3 3 2
3 0 2
0 0 2
2 0 1
0 1 2
0 1 0
0 1 1
1 3 3
1 3 1
10 2
3 1 3
0 2 0
0 0 0
0 0 1
1 3 3
2 1 0
2 3 3
3 0 2
2 2 3
0 0 3
10 4
1 1 0
2 2 2
0 2 0
2 0 0
1 0 0
1 1 1
1 2 2
0 0 0
0 1 1
1 0 1
10 6
2 1 2
0 2 2
0 1 0
2 2 2
0 2 0
2 0 2
2 0 0
0 0 1
2 1 0
1 1 2
10 9
3 0 1
0 1 2
1 3 0
1 3 2
2 0 0
3 1 3
0 3 1
1 3 3
3 1 0
0 0 1
10 4
1 1 0
2 0 0
2 2 0
0 3 0
1 3 2
2 1 2
1 2 3
1 1 2
3 2 0
2 2 3
10 3
3 2 1
2 0 1
1 0 0
3 1 2
3 0 3
3 0 2
1 1 3
2 0 0
0 0 3
2 0 2
10 3
2 0 0
1 0 3
1 0 2
3 3 0
2 3 2
1 1 1
2 3 1
3 0 1
2 0 1
0 3 3
10 7
0 2 1
1 2 0
0 0 0
0 1 2
1 0 1
2 2 2
1 2 1
2 0 0
2 2 0
1 1 0
10 7
1 1 3
0 0 0
1 2 1
3 0 1
1 1 0
3 2 1
2 2 3
3 1 3
3 3 2
0 1 0
10 8
0 0 1
1 2 0
0 0 0
0 1 0
0 1 2
1 2 1
0 0 2
2 0 2
0 1 1
2 0 0
10 2
1 0 2
3 3 3
2 3 1
2 2 2
2 2 0
2 1 3
1 3 2
2 0 1
2 3 0
3 1 2
10 5
1 0 0
2 0 1
1 0 1
2 0 2
2 0 0
0 0 1
1 2 2
0 1 1
0 1 2
1 2 0
10 5
0 2 3
3 2 3
3 1 1
3 0 1
0 0 1
3 3 1
2 2 2
3 0 2
1 1 2
1 1 3
10 4
0 0 0
0 1 0
0 2 0
3 2 3
1 2 2
2 1 3
1 2 0
0 2 2
2 0 1
0 2 1
10 4
2 0 1
2 2 2
0 1 1
1 1 0
1 2 0
2 1 2
1 1 1
2 0 2
0 1 2
0 0 0
10 7
1 2 2
0 1 0
2 1 1
2 0 0
2 0 2
0 2 0
1 1 2
0 1 2
0 1 1
0 2 1
10 3
0 1 0
1 0 0
2 2 2
2 2 1
2 0 2
2 0 1
0 0 1
1 0 1
2 2 0
1 1 2
10 9
2 2 1
2 0 2
0 0 1
1 2 1
1 0 2
0 1 1
0 2 0
1 1 2
0 1 0
0 1 2
10 6
1 2 0
0 2 2
1 0 0
1 0 1
2 2 1
1 0 2
2 2 0
2 2 2
0 0 0
2 1 1
10 6
2 2 3
3 0 2
0 1 3
0 0 3
2 3 1
3 2 1
2 1 2
0 1 1
1 2 2
1 1 1
10 7
0 1 0
0 1 1
0 3 3
2 3 2
0 3 0
3 3 1
0 0 0
0 2 3
3 3 3
3 1 2
10 2
3 0 1
2 2 2
3 0 0
3 2 2
2 1 1
3 1 1
3 2 1
1 0 1
1 2 0
1 1 1
10 9
1 0 2
1 1 1
2 1 1
0 1 0
0 0 0
2 0 2
1 2 1
0 2 0
1 2 0
0 1 2
10 2
0 2 0
0 1 1
2 0 0
1 2 0
1 0 0
1 2 2
2 1 2
1 0 2
2 2 0
0 0 2
10 5
3 0 0
2 0 2
3 0 3
2 1 3
1 0 1
0 3 0
3 3 0
3 1 1
1 1 1
0 0 0
10 6
3 1 0
2 2 0
1 0 1
3 2 0
3 0 1
3 1 3
3 2 3
1 2 2
0 3 0
1 3 0
10 5
0 3 2
0 2 2
2 0 2
0 1 0
3 3 1
1 1 1
3 2 3
1 1 2
1 0 0
1 3 1
10 4
0 2 2
3 3 1
1 0 2
1 3 3
2 3 1
3 1 3
3 3 2
2 0 3
0 2 3
1 3 2
10 9
1 0 2
0 0 0
2 0 0
0 0 2
2 1 2
2 0 2
2 2 1
0 2 0
1 2 1
1 1 2
10 4
0 1 2
3 3 0
3 3 1
1 1 2
1 0 3
3 1 0
1 3 0
3 2 0
2 2 3
2 0 2
10 2
1 3 1
1 0 2
1 1 3
0 2 0
3 0 3
0 0 1
2 0 2
3 2 1
3 3 0
2 1 0
10 6
1 2 1
1 0 0
2 0 1
0 2 2
2 2 1
0 2 0
0 2 1
2 1 2
0 1 1
1 2 2
10 3
2 3 3
0 3 1
1 2 1
0 2 1
3 0 3
3 0 0
0 2 0
3 2 0
1 2 0
0 1 2
10 8
2 0 1
0 1 0
1 1 1
0 2 2
0 2 0
0 0 1
1 0 1
2 2 0
2 0 0
2 1 1
10 3
0 3 0
2 2 0
2 3 1
2 1 0
2 2 1
3 0 2
1 3 3
0 1 1
1 1 1
1 3 2
10 2
0 2 0
2 1 1
0 2 2
0 1 0
1 2 2
0 1 2
1 0 0
2 0 0
0 0 1
2 2 2
10 2
0 1 0
1 1 1
1 0 2
1 1 0
2 2 2
1 2 1
0 2 0
0 1 2
1 0 0
0 1 1
10 2
0 2 2
0 1 3
2 0 2
2 1 0
0 2 0
1 1 3
1 3 2
1 0 1
3 0 0
1 1 0
10 7
2 2 3
2 1 2
1 3 0
0 3 0
3 3 0
2 3 0
1 2 1
3 3 2
2 2 2
3 0 3
10 6
3 2 0
2 2 0
3 2 2
3 3 0
2 1 2
3 1 0
0 3 3
1 3 3
2 1 0
1 1 0
10 8
2 2 0
1 2 0
2 0 1
1 2 2
0 0 0
0 0 2
2 0 2
1 2 1
0 2 0
2 1 0
10 4
1 3 2
0 3 3
1 2 1
0 0 0
0 3 1
2 1 1
2 1 3
3 2 1
2 3 0
3 3 1
10 8
1 1 3
1 0 3
1 0 1
3 3 3
3 3 2
1 0 0
3 0 1
2 0 3
2 3 1
0 1 1
10 9
0 3 0
1 2 2
3 2 1
0 0 0
3 3 2
2 3 2
1 2 1
0 2 0
2 0 1
1 2 0
10 2
1 3 1
1 1 1
1 2 2
0 3 0
2 0 3
2 0 2
1 2 0
0 2 0
0 0 0
2 1 2
10 8
2 2 0
1 2 0
0 0 2
2 0 1
2 1 2
1 1 1
0 2 1
2 2 1
0 1 0
0 0 0
10 8
2 0 3
0 1 0
2 1 2
1 2 3
0 3 3
3 1 3
3 3 1
1 0 1
3 1 2
1 3 1
10 8
1 2 1
2 2 0
2 0 1
1 1 2
2 1 0
2 0 0
1 2 2
0 2 0
0 0 0
0 0 2
10 6
0 2 2
0 0 1
2 0 1
1 0 1
0 0 2
0 2 1
2 1 1
2 2 1
1 2 2
1 2 0
10 8
2 3 1
1 0 3
2 1 1
0 2 0
1 1 3
0 3 3
3 0 3
0 3 0
1 3 0
0 0 2
10 5
1 0 2
2 2 1
0 1 0
1 2 1
2 2 2
0 1 2
0 2 2
2 0 0
1 1 0
1 0 1
10 4
3 2 2
1 0 2
2 0 3
0 3 3
2 0 1
3 2 1
1 3 3
1 2 3
1 1 0
1 2 0
10 5
0 2 2
0 1 0
2 0 1
3 0 0
1 1 2
3 3 2
3 0 2
0 1 3
1 3 1
2 2 0
10 4
1 0 0
2 2 2
0 1 1
1 2 3
2 3 1
0 2 0
1 0 2
1 1 1
3 2 0
3 1 2
10 8
1 2 0
2 1 0
1 0 0
2 1 2
2 2 0
1 0 1
1 1 1
0 1 1
1 2 2
0 1 2
10 6
0 2 1
0 1 0
1 0 2
1 0 1
1 2 2
0 2 2
2 0 2
1 2 0
0 2 0
0 0 0
10 9
2 1 2
1 2 1
1 1 0
2 0 1
2 1 1
1 1 2
1 0 1
0 0 1
1 2 2
0 2 1
10 8
2 1 1
2 1 0
1 2 1
2 2 1
2 0 2
0 2 0
2 2 0
0 0 2
0 0 1
0 1 2
10 8
1 2 0
1 3 2
0 3 2
3 1 1
2 2 0
2 0 3
2 3 3
3 3 3
0 0 2
3 1 3
10 2
3 1 0
2 0 2
2 2 1
1 0 2
1 3 1
2 1 3
2 0 3
1 2 2
2 0 1
2 0 0
10 9
1 0 0
1 0 1
0 2 1
1 2 0
2 2 2
2 0 2
0 0 1
2 0 1
1 2 1
0 1 2
10 3
1 0 0
1 1 2
0 2 0
0 0 0
2 2 2
1 0 1
0 1 1
2 1 1
1 2 0
2 0 2
10 5
1 3 0
2 1 1
2 1 0
1 1 3
2 0 1
3 2 3
0 3 0
3 1 0
0 1 1
3 1 1
10 8
0 2 2
2 0 0
1 1 0
2 0 2
0 1 2
0 0 2
0 0 0
0 1 0
2 1 2
1 0 2
10 9
2 1 0
0 0 0
1 2 2
0 1 2
2 1 2
0 0 2
2 2 1
0 2 0
1 1 0
2 0 0
10 3
0 0 0
2 1 0
1 2 2
2 1 1
2 0 0
1 1 2
2 2 1
0 1 1
1 0 2
1 2 0
10 7
1 2 1
0 1 2
3 0 1
0 0 2
1 1 3
2 3 0
2 0 0
3 3 0
1 1 2
0 2 1
10 9
1 2 2
2 0 0
1 1 0
0 2 0
2 0 2
0 1 2
0 1 1
1 1 2
1 2 1
2 2 2
10 6
3 1 3
0 3 1
3 2 3
3 2 0
2 0 1
1 3 3
2 2 3
1 0 1
3 0 1
0 3 3
10 7
0 0 1
0 2 3
1 0 3
1 2 3
2 2 1
1 1 1
2 1 0
3 0 1
2 3 3
1 2 1
10 8
3 0 2
2 1 3
3 2 0
0 1 0
2 3 1
2 3 3
1 1 0
2 0 0
0 3 1
0 2 3
10 6
2 3 3
2 1 3
2 2 1
2 2 0
1 2 3
0 2 2
1 1 3
1 0 0
1 1 1
0 1 3
10 3
0 2 0
0 1 0
0 0 0
1 1 1
2 2 1
1 1 0
2 1 0
0 0 2
2 0 1
0 2 1
10 4
2 0 2
1 2 0
2 2 0
1 2 1
1 0 1
1 1 1
0 2 2
1 1 0
0 0 0
2 0 0
10 4
3 2 2
0 1 1
0 1 2
1 3 2
1 1 3
1 2 0
2 2 3
3 1 3
0 0 0
2 2 0
10 2
0 0 2
0 2 2
0 0 1
1 0 0
0 0 0
1 2 1
1 2 0
2 1 0
2 0 0
1 1 1
10 3
0 0 2
1 1 1
1 0 0
2 1 0
2 0 0
1 2 1
1 0 2
2 0 2
0 2 2
0 1 1
10 6
2 0 1
2 1 2
0 2 0
0 1 2
2 2 2
0 1 0
1 1 1
0 0 1
0 2 2
0 1 1
10 2
2 2 2
0 0 1
2 1 2
1 1 1
2 0 0
1 2 2
1 0 0
0 1 2
0 1 1
0 0 2
10 9
1 0 0
0 2 2
2 0 1
1 1 0
1 0 2
0 0 0
0 1 1
2 0 0
2 2 2
2 2 1
10 6
0 0 0
1 3 2
2 3 1
3 3 0
0 3 3
0 1 3
1 0 3
1 0 2
2 3 3
0 2 0
10 5
1 2 2
2 2 3
1 3 1
3 3 3
0 2 1
3 1 3
0 2 2
1 0 3
0 3 0
2 0 3
10 5
2 1 2
2 1 1
0 0 3
1 3 2
1 3 3
3 1 1
0 1 0
2 2 2
2 2 0
2 3 2
10 5
1 2 0
1 2 2
0 0 1
0 2 0
0 1 0
0 2 1
2 2 2
0 1 2
0 0 0
2 1 0
10 5
2 1 1
1 2 1
0 2 2
0 1 2
2 1 2
1 1 1
0 1 0
2 1 0
2 2 2
2 0 0
10 9
2 0 1
2 2 2
1 0 0
1 0 2
1 1 2
2 1 0
0 2 2
2 2 0
1 2 0
1 1 1
10 8
0 1 1
2 0 2
0 2 2
2 1 0
1 1 0
1 2 0
2 1 1
1 2 1
0 1 0
0 0 2
10 8
0 1 2
0 1 0
0 2 2
0 2 1
1 0 2
1 2 1
1 1 1
1 0 1
1 1 0
1 2 2
10 5
1 2 1
2 1 1
0 0 1
1 1 0
1 1 2
0 2 2
2 1 2
1 0 2
1 2 2
2 0 0
10 7
0 0 2
1 1 0
0 2 2
0 1 0
0 0 0
2 0 2
1 2 0
0 0 1
2 1 0
1 1 2
10 7
2 2 0
2 1 1
0 1 1
2 1 2
2 1 0
0 2 0
1 0 0
0 0 0
1 1 2
2 2 2
10 6
1 0 0
2 2 0
0 1 2
2 1 1
0 1 1
1 0 2
2 1 0
0 2 2
1 0 1
1 2 0
10 6
2 1 2
2 2 0
1 1 0
0 1 0
2 2 2
1 0 1
2 1 0
1 0 2
1 2 2
0 1 2
10 5
0 1 1
1 0 2
0 1 2
0 0 0
2 2 0
1 2 2
1 1 0
2 2 1
1 1 2
0 0 1
10 9
1 2 1
1 1 0
2 2 0
0 0 0
0 2 2
0 1 0
0 2 0
1 0 1
2 2 2
2 1 1
10 8
0 0 2
0 2 0
0 0 1
2 0 0
2 0 2
2 1 0
1 2 0
2 2 2
2 2 1
1 1 1
10 3
0 0 2
2 1 1
1 2 1
0 0 1
1 3 0
0 2 0
2 1 0
3 1 0
1 3 2
2 1 3
10 5
2 3 3
2 1 0
0 1 3
0 0 0
3 3 0
0 3 0
3 1 1
1 1 0
3 3 3
1 2 2
10 7
2 0 1
1 1 0
1 1 1
1 2 2
1 2 0
2 2 0
2 0 2
2 1 1
0 1 1
1 1 2
10 5
0 2 1
2 0 1
1 0 1
2 1 0
2 0 0
0 2 0
1 1 2
0 1 2
2 2 2
1 0 2
10 5
1 1 3
2 3 0
3 2 3
3 1 0
0 2 1
1 0 3
1 1 0
2 0 2
2 0 1
1 0 0
10 8
0 0 2
0 1 2
1 1 2
0 0 1
0 1 1
0 0 3
1 2 2
3 1 1
0 2 3
0 3 1
10 3
2 0 2
0 3 1
3 3 2
2 3 2
0 2 0
0 1 0
3 3 1
2 0 0
1 0 1
3 2 2
10 5
2 2 1
2 1 2
0 2 0
2 2 0
1 1 0
2 1 1
1 0 1
1 1 1
2 0 1
1 2 2
10 3
0 0 3
3 2 1
3 2 3
1 1 2
0 3 1
3 1 1
3 1 3
1 2 0
0 3 3
1 0 2
10 7
0 3 3
3 3 1
2 0 3
3 2 0
1 1 1
1 0 2
1 3 2
3 1 3
0 0 3
2 2 3
10 6
3 2 1
0 1 0
0 1 1
1 2 3
0 3 1
0 3 2
3 2 0
2 3 1
1 1 3
1 0 0
10 2
1 1 0
1 1 2
0 0 0
1 0 1
0 1 0
1 2 1
1 0 0
1 0 2
2 1 1
0 0 1
10 5
1 1 0
0 0 2
1 3 3
1 0 0
3 2 0
3 1 2
2 1 1
2 0 0
2 3 1
3 0 2
10 9
0 1 2
0 0 2
0 0 0
1 2 0
0 2 2
1 1 2
0 0 1
2 0 0
2 2 0
2 0 1
10 7
0 3 3
1 0 2
2 3 3
3 0 3
0 0 3
1 1 2
2 3 2
1 2 2
2 2 1
0 2 2
10 5
0 0 1
3 0 0
1 0 1
0 3 1
2 0 0
2 3 2
3 2 3
3 2 1
3 1 2
2 2 1
10 9
1 2 0
2 3 2
0 0 0
1 2 3
0 3 0
0 2 3
1 3 2
3 0 0
3 0 3
1 2 2
10 6
3 1 1
2 3 2
0 2 0
0 0 1
0 1 1
2 3 1
3 0 2
2 1 3
1 1 2
3 3 1
10 4
2 0 1
1 1 2
0 1 0
1 0 2
2 2 1
1 1 1
1 0 1
2 1 2
0 2 0
2 0 0
10 9
2 3 2
1 2 1
2 3 3
2 1 3
1 0 2
1 1 2
2 1 0
0 3 2
0 2 0
2 1 1
10 5
2 0 3
1 0 2
2 0 1
1 3 0
3 2 0
2 3 0
3 2 3
1 3 2
1 1 2
2 2 0
10 9
3 1 0
0 0 2
2 0 2
0 0 3
1 3 0
1 2 2
2 2 3
0 3 0
2 0 3
1 0 1
10 5
1 0 0
0 0 0
0 0 1
1 2 0
1 2 1
1 1 1
2 0 2
0 2 2
2 1 0
2 1 2
10 9
2 0 2
0 3 2
1 0 3
3 2 3
2 3 0
1 0 0
2 3 3
2 2 2
3 1 3
2 1 0
10 5
1 0 0
0 2 2
1 0 2
2 2 0
1 1 1
0 0 0
1 2 2
2 1 2
0 1 1
0 1 2
10 9
0 2 2
2 1 0
2 2 3
1 3 0
2 1 1
0 0 1
1 2 0
2 0 0
2 2 1
0 1 3
10 2
1 0 0
2 2 0
0 1 2
0 0 0
2 0 2
1 1 1
2 1 2
2 1 1
1 2 1
1 0 2
10 5
1 3 2
0 3 0
1 2 0
1 2 3
3 1 0
2 0 0
2 2 0
0 2 2
3 0 1
0 1 3
10 8
1 1 0
2 2 2
0 2 0
0 1 1
0 0 0
2 2 0
1 1 2
1 2 2
0 1 0
2 1 2
10 6
1 1 1
0 0 0
0 1 1
1 2 0
1 1 2
0 2 1
0 2 2
1 0 0
0 0 2
2 2 2
10 8
3 2 0
1 2 2
2 1 0
1 1 0
2 2 2
1 0 3
1 0 2
2 1 1
1 3 2
3 2 3
10 2
0 0 3
0 0 1
0 2 0
2 3 3
1 3 3
2 2 0
3 3 1
1 3 1
1 2 1
0 3 0
10 4
0 2 3
0 2 2
1 2 1
3 1 1
3 1 0
2 3 1
2 1 2
1 1 2
1 2 0
2 1 0
10 7
0 1 1
3 2 3
3 1 1
1 0 0
2 0 3
0 0 2
3 3 2
1 2 0
1 0 2
1 2 2
10 7
1 2 2
3 1 1
2 2 0
0 1 0
1 0 1
2 0 2
3 1 0
1 0 3
0 1 2
1 3 2
10 3
0 3 1
1 1 0
0 1 2
0 0 3
2 2 3
3 0 1
1 0 2
2 2 0
0 1 0
3 0 0
10 6
1 1 2
0 0 0
0 1 2
1 0 1
2 0 2
1 1 1
0 0 2
2 2 0
1 0 2
0 0 1
10 7
1 3 1
1 1 0
0 1 2
3 1 2
2 3 2
2 1 0
1 1 1
2 1 3
1 0 0
3 2 3
10 6
0 1 1
2 2 1
2 0 0
0 0 0
2 0 2
0 0 2
1 2 1
0 2 0
2 1 2
2 2 2
10 5
2 3 3
3 2 1
3 1 2
1 3 0
1 3 3
1 1 2
0 0 3
1 0 0
3 0 3
2 0 3
10 5
1 1 0
0 2 2
0 2 1
2 2 0
1 2 0
2 2 1
2 1 2
2 0 1
1 2 2
1 0 2
10 8
2 0 2
3 1 3
1 1 0
2 3 1
1 0 0
2 0 0
1 3 2
1 2 3
1 0 2
0 3 3
10 6
1 0 0
1 1 2
2 1 1
1 1 0
1 2 1
1 2 0
0 2 0
0 1 1
0 1 2
2 1 2
10 8
0 3 2
3 1 1
2 2 0
0 0 0
0 2 2
1 3 2
2 0 1
0 0 2
0 1 1
0 3 1
10 4
2 1 0
1 0 0
0 1 0
0 0 2
1 3 2
2 3 0
2 2 2
2 2 0
0 2 3
2 0 3
10 5
1 1 2
3 3 1
2 2 0
1 3 1
2 0 2
1 3 3
3 1 3
2 1 1
3 0 1
1 0 2
10 8
2 0 2
0 1 1
3 0 2
3 1 3
0 1 2
0 1 3
2 1 0
2 1 1
1 1 1
0 0 1
10 7
0 0 2
2 2 1
2 2 0
0 0 1
2 2 2
2 1 2
0 1 0
1 0 1
1 1 2
1 2 0
10 7
0 2 1
0 1 2
2 1 1
0 2 2
2 0 1
1 0 2
0 0 0
0 0 1
2 2 1
0 1 1
10 3
3 3 1
0 1 2
1 3 3
1 0 1
1 2 2
3 1 1
1 0 0
1 1 0
2 1 2
2 3 1
10 4
2 2 0
1 0 2
0 2 0
0 2 1
1 1 2
2 2 1
0 1 0
2 0 0
1 0 0
2 1 2
10 8
1 1 3
3 0 0
0 2 3
2 0 1
1 0 1
3 3 2
1 1 0
1 1 1
2 2 2
0 2 2
10 6
1 0 1
1 2 0
1 1 0
0 0 1
0 2 1
2 1 1
2 2 2
2 0 1
1 1 2
1 1 1
10 6
2 2 2
0 0 1
2 1 0
1 1 2
2 1 1
2 0 2
0 0 0
0 2 1
1 0 0
1 0 2
10 8
1 2 0
0 1 1
1 0 2
2 2 1
1 0 1
2 0 0
0 1 0
1 1 2
0 1 2
0 2 2
10 4
3 3 0
3 0 1
3 1 1
2 2 0
1 3 3
3 2 1
3 3 3
2 2 2
2 2 1
1 1 0
10 5
0 3 2
3 3 2
3 1 3
3 1 1
2 0 2
0 0 1
0 1 0
1 3 3
3 2 1
2 0 3
10 2
2 1 2
0 0 0
2 0 1
0 0 2
1 0 2
1 1 2
1 1 1
0 1 1
1 1 0
0 1 2
10 3
3 2 1
2 3 0
2 2 3
0 2 1
1 2 1
3 1 2
3 1 3
0 3 0
3 2 2
1 1 0
10 6
2 3 0
0 1 3
3 1 0
1 3 1
0 3 0
0 1 2
1 2 0
3 1 2
1 3 2
0 0 2
10 5
1 2 0
3 3 0
0 3 0
2 2 1
2 3 2
1 0 1
0 2 3
2 1 0
0 1 2
0 0 2
10 5
1 2 1
2 3 1
1 3 0
2 3 3
3 0 1
2 0 2
2 2 0
0 1 3
3 2 3
0 2 3
10 4
0 0 0
2 0 2
1 2 2
0 0 1
3 1 1
2 1 1
1 1 3
3 1 0
2 1 2
0 2 1
10 5
2 2 1
2 2 0
2 0 0
2 0 2
1 1 1
2 1 0
0 1 0
0 1 2
1 2 0
1 0 1
10 6
1 2 0
3 2 0
0 0 2
1 0 2
2 2 2
3 3 3
1 0 1
3 1 2
1 3 3
2 2 1
10 7
3 0 0
0 3 2
2 2 1
1 3 0
1 1 1
0 0 0
2 0 0
3 3 1
2 0 1
1 3 3
10 2
0 2 0
1 1 0
1 1 1
1 0 0
1 2 0
1 1 2
2 2 1
2 2 2
2 1 1
0 1 0
10 8
1 0 1
0 0 0
0 0 1
0 0 2
1 0 2
2 2 1
0 1 0
2 1 2
0 2 0
2 0 2
10 5
1 2 1
3 2 1
2 2 1
0 3 2
2 1 0
3 2 3
3 3 3
1 1 3
3 3 0
0 1 1
10 2
2 0 2
1 1 1
1 3 3
3 1 2
3 3 3
2 2 2
2 2 1
2 3 3
0 2 1
3 3 1
10 7
3 0 1
3 3 3
1 3 1
2 2 1
2 2 3
1 1 0
3 3 2
1 0 2
3 1 2
0 0 2
10 7
2 2 0
0 2 0
1 0 0
0 0 2
2 0 0
1 1 0
2 2 2
0 1 0
2 1 0
1 2 2
10 9
3 1 1
0 1 3
2 1 0
1 3 3
1 0 2
2 0 1
0 3 1
0 0 3
2 3 1
0 3 2
10 2
2 3 3
3 3 3
1 0 3
1 1 0
2 1 3
1 1 3
0 0 1
3 0 1
3 0 2
3 1 1
10 6
2 0 3
1 0 1
3 3 2
2 2 1
1 0 2
3 2 1
2 1 2
2 1 1
2 1 0
0 3 1
10 6
1 2 1
0 1 2
2 1 1
0 0 1
1 0 1
2 2 2
0 2 1
1 1 1
0 2 2
1 1 0
10 3
3 0 1
3 3 2
0 2 1
0 0 2
1 3 1
1 1 0
1 0 3
0 3 3
0 1 0
1 1 1
10 5
1 0 3
2 3 1
2 1 3
1 0 1
2 1 0
1 3 1
0 2 0
2 1 2
2 2 3
2 0 1
10 3
0 0 3
1 0 2
3 2 3
2 0 1
1 3 0
1 1 2
3 3 0
3 0 1
2 1 0
1 0 3
10 4
2 2 1
3 0 2
3 0 1
2 3 3
3 3 1
3 1 3
3 2 1
0 2 0
0 3 1
0 0 1
10 4
0 0 2
0 2 2
1 2 1
2 1 0
2 0 2
2 0 1
0 2 1
1 0 2
2 1 1
2 2 2
10 7
0 1 0
2 1 2
2 0 1
1 1 2
2 2 0
0 0 0
1 0 1
1 2 2
2 0 2
1 0 0
10 4
2 1 1
0 1 1
1 2 2
2 2 2
0 1 2
1 0 0
2 0 2
0 0 1
0 1 0
1 1 2
10 7
1 0 1
0 0 1
0 2 2
0 0 2
1 1 1
2 0 0
0 0 0
0 1 0
0 1 1
0 2 1
10 3
1 2 3
3 2 3
0 0 1
1 1 2
3 1 2
3 2 2
3 0 0
3 1 3
3 3 1
2 0 0
10 6
1 1 0
2 1 1
1 1 1
1 0 1
1 0 0
1 0 2
0 2 2
0 2 0
2 1 0
1 1 2
10 7
3 2 0
3 1 1
1 1 2
0 3 3
0 2 2
2 2 2
1 2 2
2 0 1
3 1 0
1 0 0
10 3
2 2 2
1 0 1
2 1 2
2 1 1
1 1 0
2 0 1
2 1 0
1 1 1
0 0 1
0 0 0
10 9
2 1 0
0 1 0
1 2 0
2 0 2
1 2 2
2 2 2
1 0 1
0 0 1
0 0 2
0 1 1
10 6
2 0 1
1 1 1
1 1 0
2 2 1
0 2 0
0 0 0
1 2 1
2 1 1
2 2 0
1 0 1
10 6
2 1 2
0 2 0
1 2 1
2 1 1
2 1 0
2 0 0
0 0 2
2 2 0
2 0 1
1 0 0
10 6
3 2 0
3 2 1
0 2 2
3 1 2
0 0 3
3 0 2
2 2 1
2 0 1
3 3 1
0 0 2
10 7
0 2 0
3 1 1
2 0 1
2 3 1
0 2 1
0 0 1
1 3 0
1 3 1
2 1 1
2 1 3
10 3
2 1 2
0 0 1
0 1 2
1 2 0
2 2 2
2 1 1
2 1 0
1 2 1
1 1 1
2 2 0
10 7
3 0 3
1 2 0
2 3 0
3 3 2
3 3 3
0 3 1
1 1 1
2 1 2
2 3 2
2 1 0
10 2
2 1 2
3 3 0
0 1 0
2 2 0
2 2 3
3 3 1
1 3 1
0 0 0
3 2 2
2 2 1
10 6
1 2 1
2 1 2
1 1 0
1 1 1
0 0 0
0 1 2
1 0 2
0 2 0
2 0 2
0 1 0
10 2
0 1 1
2 0 0
0 0 1
0 2 0
2 0 2
2 0 1
0 2 1
1 1 0
0 1 0
0 0 0
10 2
1 3 3
2 0 2
2 0 1
2 2 3
1 3 2
0 2 3
0 3 2
2 1 1
1 3 0
2 3 1
10 8
0 0 1
0 1 3
1 3 2
0 0 0
0 2 0
2 1 1
1 2 0
0 1 1
1 0 0
2 2 0
10 5
0 1 3
0 0 0
2 0 3
0 3 2
2 2 0
3 1 2
3 3 3
3 2 0
2 1 0
2 2 1
10 4
0 0 1
1 2 2
1 2 0
1 1 0
2 0 0
2 1 1
1 1 1
0 2 2
0 0 0
0 2 1
10 7
2 3 3
2 3 2
1 3 1
1 3 3
2 1 0
0 0 2
3 3 3
0 0 1
3 3 2
1 2 3
10 4
2 3 1
2 2 0
3 1 0
1 3 0
0 2 1
1 0 2
0 1 1
2 2 1
3 3 3
2 1 3
10 7
0 1 0
2 1 2
0 0 2
1 2 2
2 2 0
0 2 2
0 1 2
2 1 0
1 2 1
0 0 1
10 8
2 1 1
1 2 1
1 2 2
0 2 0
0 2 2
0 0 0
0 0 2
1 1 2
1 0 1
0 1 1
10 8
2 2 2
0 1 2
2 2 0
0 0 2
0 2 2
2 1 2
1 0 1
1 2 2
2 0 0
2 1 0
10 2
0 2 1
1 1 0
0 1 2
0 0 2
1 1 2
0 1 1
0 1 0
2 2 2
0 0 0
1 0 1
10 7
0 2 3
1 1 1
1 0 3
2 2 3
2 1 0
0 3 0
3 3 2
1 2 3
0 1 3
3 1 2
10 5
0 0 2
1 3 3
3 1 2
3 0 0
0 2 3
3 1 1
1 3 2
2 0 1
1 1 2
2 2 0
10 6
1 2 1
1 2 2
1 2 0
1 1 2
1 0 0
2 1 1
0 2 2
2 2 2
0 1 2
0 0 1
10 9
2 1 0
2 1 1
1 0 1
0 1 2
2 2 1
1 2 1
1 1 1
1 0 2
1 1 0
0 0 2
10 6
2 0 2
1 1 1
1 1 0
0 1 2
0 2 2
0 2 1
1 0 2
1 0 1
1 2 1
0 0 2
10 5
3 1 2
1 0 3
1 2 2
3 2 1
3 3 2
1 2 0
0 1 2
0 0 0
0 1 1
3 1 1
10 2
2 2 1
1 2 0
0 2 2
1 2 2
2 2 0
1 1 2
1 0 0
1 0 1
2 2 2
1 0 2
10 6
0 3 3
2 2 3
3 3 3
2 3 2
3 3 1
0 2 1
0 0 3
1 3 0
1 3 1
0 2 2
10 2
1 0 1
0 0 0
1 3 0
1 1 2
0 3 2
2 1 0
3 3 1
2 3 3
1 3 3
0 1 0
10 9
2 0 0
1 1 2
0 0 0
0 2 0
0 1 1
2 1 1
1 0 0
2 2 2
0 0 1
1 1 0
10 4
0 2 1
2 2 1
2 1 1
2 1 2
0 1 1
1 1 2
0 0 1
0 2 0
2 2 2
1 1 1
10 3
0 0 3
0 1 3
3 3 2
2 2 2
1 0 3
3 1 1
3 2 2
3 3 1
0 2 2
3 2 1
10 6
2 2 1
0 1 1
1 2 2
1 1 2
0 0 2
0 1 2
1 0 1
1 2 0
2 0 2
2 1 2
10 4
2 1 2
1 1 2
2 1 0
3 2 1
1 1 1
1 1 0
3 2 0
0 2 1
3 3 1
1 0 3
10 3
0 0 2
0 2 0
0 1 2
0 2 2
1 1 2
2 0 1
2 1 0
0 2 1
2 0 0
1 2 1
10 2
0 0 0
1 3 2
0 2 1
3 0 0
1 2 0
1 2 3
1 2 2
2 0 0
3 1 3
3 0 1
10 2
3 1 2
0 2 0
1 0 2
1 2 0
3 2 3
3 0 0
2 2 0
2 1 3
2 2 2
0 1 3
10 9
1 1 2
2 1 1
0 1 2
2 2 1
0 0 1
0 1 0
1 2 2
1 1 0
2 0 2
0 0 0
10 2
1 1 0
3 3 2
2 3 1
0 3 3
2 3 2
2 2 2
3 0 2
0 1 0
0 0 2
0 0 1
10 8
1 0 1
0 1 1
2 2 1
1 1 1
0 0 1
1 2 0
0 2 1
1 0 2
1 2 1
0 0 0
10 3
1 1 2
0 1 0
0 2 2
1 1 1
0 0 0
2 0 1
2 0 0
0 1 2
0 0 2
1 2 1
10 9
0 2 0
2 2 1
1 0 0
1 2 2
1 2 1
0 0 0
0 1 2
1 1 0
2 2 2
1 1 2
10 7
1 2 2
2 1 2
1 2 3
3 0 3
0 0 1
3 0 2
3 3 3
0 3 1
3 3 0
3 1 2
10 8
2 3 2
1 0 2
1 1 2
2 0 3
1 0 0
1 3 0
1 2 3
1 3 2
0 3 3
3 3 0
10 7
1 1 1
1 3 3
2 2 1
2 1 0
1 2 1
2 1 2
3 2 1
1 2 3
2 1 1
2 2 3
10 6
2 0 2
1 1 0
1 1 3
2 0 3
3 1 3
2 3 3
1 3 0
0 1 0
1 2 0
1 2 1
10 8
2 1 3
1 1 2
2 3 3
3 0 1
1 2 0
0 1 1
1 3 1
3 2 0
0 3 3
3 0 0
10 4
3 1 0
1 2 2
2 0 3
1 0 0
3 2 3
2 2 2
2 2 3
1 0 1
1 0 3
2 0 1
10 5
1 1 1
3 3 3
0 2 2
0 3 1
0 1 0
0 2 3
2 2 2
2 0 0
0 1 2
3 3 2
10 4
1 2 2
1 0 2
2 1 0
1 2 1
0 0 0
0 1 0
1 1 2
2 1 2
2 2 2
1 0 1
10 8
2 3 2
2 1 1
1 1 1
1 2 0
0 1 2
3 3 0
2 3 1
3 0 2
0 0 3
3 1 1
10 5
1 2 0
3 0 2
3 1 0
3 0 0
2 3 0
1 1 3
2 1 3
0 1 0
0 0 1
3 3 2
10 7
2 1 1
0 0 1
0 2 0
0 0 0
0 1 0
2 2 1
2 2 2
2 0 1
2 0 0
1 0 1
10 2
1 0 0
0 2 2
0 2 1
2 1 0
2 1 2
0 2 0
1 2 2
0 1 0
0 1 2
2 2 1
10 5
2 1 1
0 2 2
1 0 1
0 0 2
0 2 0
1 0 2
2 2 0
0 1 0
0 0 1
2 0 0
10 5
1 0 1
0 2 0
1 2 2
2 2 1
2 1 0
1 1 0
1 2 1
2 2 0
0 0 0
2 0 0
10 4
2 0 1
2 1 2
2 0 2
1 0 1
0 0 0
2 0 0
0 0 1
0 1 0
0 2 0
2 2 0
10 3
2 3 1
1 0 1
0 0 2
3 0 0
1 0 3
2 1 2
1 2 0
1 2 1
1 3 2
2 0 0
10 7
1 3 0
1 2 0
2 2 3
1 1 3
3 2 2
1 2 2
2 3 3
2 0 1
2 3 0
3 1 0
10 5
0 0 2
2 1 0
1 1 0
0 1 0
0 2 1
0 1 2
2 2 2
0 2 2
1 0 2
0 1 1
10 3
1 0 2
2 0 2
2 2 2
1 1 2
0 2 0
1 0 0
2 0 0
0 0 2
0 2 1
0 0 0
10 8
1 2 2
1 2 3
0 2 3
0 0 3
3 0 3
3 3 2
0 1 2
2 0 1
0 1 3
0 2 1
10 5
2 2 2
2 1 1
0 2 0
3 3 1
1 1 0
0 0 0
1 2 1
2 1 2
2 3 0
0 1 3
10 2
1 1 1
1 2 1
0 0 2
2 1 0
2 2 1
1 0 1
0 0 0
1 2 0
2 1 1
0 2 2
10 6
1 2 1
0 1 2
0 0 1
0 0 2
1 0 1
1 2 0
2 2 1
2 0 1
2 1 0
2 2 0
10 9
0 2 1
2 1 2
2 0 1
2 2 2
0 1 0
1 1 2
1 2 1
1 1 1
1 2 0
2 1 1
10 6
2 3 3
0 3 0
1 2 0
1 0 2
1 2 1
1 1 0
1 3 0
0 0 1
3 2 0
3 2 3
10 8
1 0 1
0 1 1
2 2 2
0 0 0
2 0 2
2 0 0
0 0 2
2 1 2
0 2 1
1 1 0
10 9
2 2 0
1 1 1
0 0 2
2 2 1
1 2 0
2 1 1
2 1 2
2 0 2
2 2 2
0 0 1
10 6
1 1 2
1 1 0
2 1 2
2 2 1
1 0 1
0 0 1
0 2 1
2 0 2
1 1 1
0 0 0
10 8
1 1 1
2 2 2
1 1 0
0 0 2
1 1 2
0 0 0
2 1 2
2 0 2
1 0 0
2 1 1
10 8
2 0 0
1 1 0
2 1 1
0 2 0
1 0 1
0 0 1
1 2 1
1 2 0
0 1 2
2 1 2
10 7
0 1 0
3 1 1
2 3 1
1 3 3
0 2 2
1 1 2
3 3 2
0 2 3
1 0 1
1 3 1
10 8
1 2 2
0 1 1
2 1 1
0 1 2
1 2 1
1 2 0
1 1 2
2 1 0
0 2 2
0 0 2
10 6
0 2 1
2 2 2
1 1 1
2 0 1
1 0 0
0 2 0
0 0 2
0 2 2
1 0 2
2 1 2
10 9
0 2 3
2 2 1
1 0 3
2 3 3
2 0 1
1 2 1
2 1 3
1 0 0
0 2 1
0 0 1
10 8
2 1 2
0 1 2
0 1 1
2 1 1
0 0 0
2 2 2
2 0 0
2 0 1
0 2 1
1 2 2
10 7
2 0 1
1 1 1
1 1 3
0 3 0
0 3 3
2 3 0
2 3 2
3 2 3
2 2 0
3 1 1
10 9
2 1 0
1 2 1
0 0 1
1 1 2
0 2 0
0 2 2
1 0 1
2 1 2
1 1 1
2 2 1
10 3
2 1 1
3 2 3
0 3 3
3 0 0
0 0 1
2 2 0
2 0 3
2 1 3
2 3 3
0 1 3
10 2
2 0 1
0 1 2
2 0 2
2 2 2
1 1 0
2 0 0
0 0 1
1 0 0
0 0 2
1 1 1
10 4
2 2 0
1 1 0
1 1 1
2 1 1
0 2 2
1 2 2
1 0 2
0 0 2
0 0 1
0 2 1
10 2
2 3 2
3 3 3
0 1 2
1 1 2
1 2 1
2 2 1
0 0 2
1 2 0
2 2 0
3 2 1
10 5
0 2 2
0 0 2
0 1 0
2 2 0
2 3 1
1 2 0
2 1 0
1 0 1
1 2 2
1 1 1
10 4
3 2 0
1 0 2
2 0 2
0 1 2
1 2 3
1 3 2
0 3 1
1 0 0
0 1 3
0 1 1
10 8
1 1 0
1 3 1
1 3 0
0 1 3
2 1 2
0 0 1
1 0 3
3 1 3
0 3 3
3 2 0
10 6
3 3 0
0 1 3
0 3 2
0 0 2
1 1 3
3 0 3
1 3 0
0 0 0
3 3 1
3 1 1
10 5
2 1 1
0 1 0
2 0 1
1 2 0
1 1 1
2 1 0
0 2 0
1 2 1
2 2 0
2 2 1
10 6
2 2 0
2 0 2
2 1 1
2 1 2
0 2 0
0 0 0
1 0 2
0 1 2
2 0 0
0 0 2
10 4
1 2 2
3 0 2
2 1 2
1 1 2
2 1 3
0 3 1
2 2 3
3 1 3
1 2 0
3 1 1
10 9
1 0 0
1 2 1
0 0 2
0 1 1
0 1 0
1 0 2
1 0 1
0 2 1
2 0 1
2 2 2
10 7
0 0 1
0 1 1
1 0 1
1 2 1
2 0 1
0 0 2
0 2 0
1 0 2
2 0 0
0 2 2
10 4
0 0 0
0 2 1
1 1 2
0 1 1
1 0 0
2 2 0
2 0 1
0 1 0
2 2 2
1 2 1
10 6
0 1 2
0 0 0
0 1 1
2 2 1
1 0 2
2 1 1
1 1 0
2 1 0
0 0 2
1 0 0
10 6
1 1 1
1 3 3
0 2 2
1 3 1
3 1 3
0 0 0
2 3 3
1 0 3
1 0 0
0 3 1
10 8
2 2 0
1 0 1
1 1 1
0 1 2
0 1 0
2 1 1
2 2 1
2 0 1
2 0 2
1 2 1
10 2
0 0 0
0 1 0
1 2 0
2 0 2
0 0 2
2 1 1
0 0 1
1 1 2
2 0 0
1 2 2
10 6
0 2 1
0 2 0
2 0 2
1 2 1
1 1 2
1 1 0
0 0 0
0 1 0
0 0 2
2 1 0
10 8
3 0 1
0 1 0
1 3 3
0 1 3
1 2 1
2 1 3
1 0 2
0 3 1
0 2 1
3 3 2
10 9
0 0 0
1 1 0
0 1 0
1 0 1
2 0 2
1 2 1
0 1 2
2 2 1
1 2 2
0 1 1
10 8
2 2 3
1 0 1
3 1 1
3 2 1
2 0 3
2 3 2
3 2 3
0 2 0
1 2 0
2 2 0
10 8
1 0 2
2 2 2
0 1 1
1 2 2
0 1 0
0 2 0
2 0 2
2 1 0
2 2 0
0 0 1
10 8
3 0 1
0 1 0
1 0 3
3 1 3
0 0 2
3 1 1
0 2 0
1 1 0
0 3 3
1 2 3
10 4
0 0 2
2 1 3
3 1 1
2 0 1
1 2 2
0 3 1
3 3 2
3 2 1
2 2 3
3 0 2
10 5
1 0 1
0 2 0
2 2 0
0 0 2
2 1 0
1 0 2
2 0 0
2 2 2
0 0 0
0 2 1
10 7
1 3 0
3 1 2
1 1 0
2 2 2
3 3 1
1 0 1
1 2 2
0 2 2
1 3 3
0 2 3
10 2
0 1 2
2 1 1
1 1 2
2 2 2
0 0 2
1 0 0
2 2 1
1 0 1
0 1 0
1 1 0
10 9
2 0 1
1 0 1
1 0 0
1 0 2
2 2 2
1 2 2
2 1 2
1 1 2
0 1 1
0 2 0
10 5
1 2 2
0 1 1
2 1 1
1 1 0
2 0 0
0 0 2
2 2 2
1 0 2
0 1 0
2 2 1
10 6
1 0 0
0 0 2
2 1 2
2 1 1
0 2 2
2 2 0
1 1 2
0 0 0
0 2 1
1 1 0
10 5
1 0 1
0 2 1
2 3 0
0 0 0
2 0 1
0 1 0
3 1 1
2 2 0
2 2 2
3 2 2
10 9
1 0 0
1 2 2
3 0 3
2 2 0
1 2 3
0 3 1
3 3 2
1 3 1
1 2 0
3 1 1
10 5
2 1 0
1 2 2
2 3 1
3 2 1
2 0 0
1 0 2
3 3 2
0 1 3
0 2 2
1 0 1
10 9
1 2 0
0 2 1
1 1 1
0 0 0
1 2 1
1 1 0
0 2 0
1 0 0
2 2 2
2 1 0
10 4
3 1 3
2 2 0
1 0 0
2 1 1
3 2 1
3 0 1
3 2 0
2 2 2
0 0 1
2 0 0
10 5
0 2 2
0 1 0
1 2 2
0 2 1
1 1 1
2 0 0
1 1 2
0 1 2
0 0 1
1 0 1
10 2
2 1 2
0 0 1
0 1 0
1 1 0
1 2 1
1 0 0
2 1 1
2 0 2
2 0 1
0 0 0
10 4
3 0 0
0 3 0
0 0 1
2 1 3
1 0 2
3 2 1
3 3 2
1 0 3
2 1 0
3 2 2
10 6
3 1 1
0 1 1
0 0 1
0 2 1
2 3 3
1 2 2
2 3 2
2 3 1
1 3 2
2 0 2
10 6
2 3 2
1 0 2
0 0 3
3 1 2
3 3 1
1 3 1
0 2 3
2 3 0
1 3 3
0 1 1
10 5
2 2 0
3 3 1
3 0 1
1 3 0
2 2 3
0 1 0
0 3 2
2 3 3
1 0 3
2 0 0
10 4
2 1 1
0 2 1
0 0 1
0 1 0
2 1 2
1 1 0
1 1 2
1 2 2
1 2 1
2 0 0
10 8
0 2 2
1 2 0
0 2 1
1 2 2
2 1 0
1 1 0
0 1 0
0 1 2
0 0 1
2 2 0
10 2
2 2 3
0 2 0
3 1 3
1 2 2
2 3 2
1 3 3
3 0 0
0 1 2
0 1 0
2 1 1
10 6
2 0 1
0 2 0
1 1 0
0 2 1
1 2 2
1 2 1
2 1 0
1 1 2
1 2 0
1 0 1
10 5
2 0 2
3 3 3
2 3 3
0 3 2
3 3 2
1 3 3
3 2 0
3 2 3
0 1 3
3 1 1
10 2
1 2 1
0 0 2
3 0 0
2 3 3
2 2 0
0 3 1
0 0 1
1 3 2
2 1 2
2 1 1
10 3
2 1 1
2 2 2
2 1 0
1 0 1
1 0 2
2 0 1
1 1 1
1 2 2
1 1 2
2 1 2
10 3
0 0 1
2 0 1
1 0 2
1 1 2
0 0 2
2 1 2
1 2 0
1 2 2
2 0 0
0 0 0
10 4
2 1 2
3 1 3
2 0 2
0 0 0
3 0 0
2 1 0
0 1 0
1 3 3
3 1 2
2 2 1
10 5
1 2 0
2 0 1
3 2 1
2 0 3
3 2 2
3 1 1
0 3 0
1 1 0
1 3 3
0 3 3
10 3
1 1 1
1 2 2
1 0 0
2 2 0
0 1 2
1 0 1
0 1 1
2 0 0
2 2 2
1 0 2
10 5
0 0 1
1 2 0
2 1 1
0 1 1
0 0 2
0 1 0
2 2 2
1 0 1
1 1 2
0 1 2
10 2
2 0 1
1 1 2
0 1 3
2 1 1
1 1 0
3 3 3
3 2 3
2 2 1
1 1 1
2 3 1
10 9
2 3 1
3 1 2
3 3 0
1 3 2
1 1 3
1 1 2
2 1 1
0 0 2
0 3 3
1 1 0
10 3
2 2 2
1 2 0
2 0 1
2 2 0
0 2 0
1 0 2
1 0 1
1 2 1
2 0 2
0 2 1
10 2
2 2 2
1 1 3
3 0 2
2 3 2
2 3 1
0 0 2
0 1 1
1 0 1
2 3 3
2 0 1
10 5
2 0 0
0 3 3
0 1 1
0 3 1
1 2 0
2 2 0
2 2 2
3 2 1
2 1 3
1 3 0
10 6
2 2 1
1 1 2
2 2 2
3 3 2
1 2 0
2 2 3
2 3 0
1 1 3
0 3 3
3 1 2
10 3
0 0 0
2 2 1
1 2 1
0 2 1
0 0 2
1 0 1
1 2 2
2 2 2
2 2 0
2 1 2
10 3
1 1 0
2 1 2
2 0 0
1 2 1
0 2 2
1 1 2
0 1 1
0 2 0
1 0 2
2 0 1
10 6
2 0 2
2 1 2
1 1 2
0 2 1
0 1 0
2 0 0
2 0 1
2 2 1
2 2 0
0 1 1
10 2
2 1 1
3 2 1
1 1 0
3 0 1
1 1 1
3 2 3
3 0 0
2 1 3
2 2 2
1 1 2
10 2
0 1 1
2 1 3
0 2 0
1 1 3
2 2 2
0 2 3
2 0 1
0 3 0
1 2 2
0 2 2
10 2
0 1 1
2 2 2
1 1 0
2 1 1
2 1 2
1 2 1
1 1 1
2 0 2
0 0 0
0 0 2
10 3
0 2 0
0 2 2
2 0 0
0 2 1
0 0 2
0 1 1
1 1 0
0 1 2
2 1 0
2 0 2
10 4
0 3 2
1 1 0
0 1 2
3 2 3
3 2 2
2 1 3
0 3 3
1 0 1
0 1 1
2 0 3
10 3
1 0 0
2 1 1
2 0 2
2 1 0
1 1 0
0 1 2
2 1 2
1 2 1
0 0 1
2 2 1
10 3
0 0 1
0 1 0
2 1 1
2 0 2
0 0 0
2 2 2
2 1 2
1 0 2
2 2 0
1 2 2
10 8
1 0 2
2 1 1
0 1 1
1 0 0
0 0 0
0 0 1
1 1 0
0 1 0
2 0 2
2 2 0
10 2
2 3 2
1 2 1
0 1 1
0 2 0
2 0 3
2 3 0
1 0 0
1 1 1
3 0 0
2 0 1
10 5
1 1 0
2 1 1
0 1 1
2 2 0
2 2 1
2 0 1
0 2 0
1 2 0
1 2 1
2 0 0
10 6
2 0 1
1 0 0
2 2 2
1 2 1
2 2 1
0 2 1
1 1 2
2 0 0
2 2 0
1 2 0
10 2
2 2 1
2 2 2
0 0 1
1 2 2
1 2 0
1 0 2
1 0 1
2 1 1
1 2 1
0 2 2
10 8
1 1 3
2 2 1
3 2 0
0 1 2
2 0 2
2 2 3
1 3 1
0 3 1
0 2 2
2 3 3
10 4
0 2 2
0 1 1
0 1 2
1 1 1
2 2 2
1 1 2
1 0 1
1 2 1
1 1 0
2 0 0
10 5
0 1 1
3 1 0
3 0 3
1 3 3
0 3 1
3 3 3
0 2 3
0 1 0
2 3 3
1 1 1
10 3
2 2 2
3 3 0
3 1 0
0 2 0
1 1 1
1 2 0
0 3 1
1 3 0
0 0 1
3 3 3
10 9
1 0 2
1 2 0
1 2 1
0 0 0
0 1 2
0 1 0
0 0 1
2 2 0
0 0 2
1 2 2
10 2
0 0 3
1 2 1
0 1 2
1 1 2
3 0 2
0 3 3
2 2 1
2 2 0
2 1 0
2 1 1
10 8
1 1 0
2 0 1
2 1 0
1 2 1
0 1 0
2 2 2
1 0 1
2 1 1
1 0 2
1 1 2
10 8
2 1 2
0 1 2
0 2 0
2 2 1
2 1 1
1 1 2
1 2 2
0 2 2
0 1 0
0 1 1
10 4
2 2 2
1 1 1
0 1 2
1 2 2
2 0 1
2 0 2
1 1 0
1 0 2
0 2 0
0 1 0
10 2
0 2 1
2 1 1
2 1 0
1 2 2
2 2 0
2 1 2
2 2 1
0 2 0
0 2 2
0 1 0
10 8
0 1 2
2 0 1
0 0 2
0 2 1
2 1 2
2 1 1
2 0 0
1 0 2
2 2 2
1 1 1
10 6
0 0 1
2 0 0
1 1 2
0 0 0
2 0 2
2 1 1
1 1 0
0 1 2
2 2 1
1 0 0
10 2
1 0 2
2 1 2
1 0 1
2 1 1
2 0 2
2 2 1
0 1 1
1 1 1
2 2 2
0 0 1
10 6
0 3 3
3 1 1
3 3 2
2 0 1
2 1 1
2 2 2
3 2 2
3 0 3
0 2 1
1 0 3
10 6
2 1 1
1 2 1
1 3 1
3 3 2
0 0 0
0 1 3
2 2 2
0 2 1
3 2 0
1 2 3
10 2
0 1 1
2 3 1
2 2 0
3 3 3
2 1 3
0 2 1
3 0 1
2 0 3
1 3 3
0 2 0
10 4
0 0 2
2 1 2
2 2 3
0 1 0
3 3 0
2 3 2
0 1 3
1 0 1
3 2 3
0 2 1
10 6
2 0 2
2 1 0
0 1 1
2 2 2
1 3 3
1 2 2
3 2 2
0 1 0
2 0 3
3 1 2
10 4
2 2 3
2 3 3
0 0 1
0 2 0
1 1 0
3 0 3
2 3 2
1 3 3
2 1 3
1 3 1
10 7
0 0 2
1 2 0
0 0 0
2 0 1
2 2 2
0 1 2
1 2 1
0 0 1
2 1 1
2 2 0
10 4
1 1 0
3 1 2
2 0 0
2 0 2
2 2 1
1 1 1
2 0 3
0 0 0
2 2 2
3 1 3
10 2
0 2 1
2 1 2
1 2 0
2 1 1
0 1 0
0 2 3
1 2 1
3 2 2
1 2 3
2 2 0
10 6
0 2 1
0 2 0
2 1 3
0 2 3
1 2 1
1 0 0
2 2 0
2 3 3
0 0 2
3 3 2
10 2
2 1 2
1 0 1
2 2 1
1 2 2
2 0 1
0 0 0
0 0 2
0 1 2
2 1 0
1 0 2
10 7
2 1 3
1 3 3
1 1 3
0 2 3
3 2 2
0 2 1
0 3 3
0 2 0
2 1 2
0 0 1
10 8
1 1 3
2 3 0
0 3 2
3 1 1
3 3 2
3 0 2
1 3 3
1 0 2
3 1 0
1 1 1
10 6
0 1 1
2 0 2
1 1 0
1 1 1
2 0 0
2 2 2
0 2 1
2 1 0
0 0 2
2 2 0
10 4
0 0 2
1 0 2
2 0 1
0 1 1
2 1 2
1 0 0
0 2 2
1 2 2
1 2 1
0 2 0
10 8
1 0 1
2 3 3
0 1 1
1 2 0
3 1 2
3 2 3
1 1 1
2 2 0
1 1 0
2 1 3
10 8
1 2 2
1 0 0
1 1 2
2 2 0
2 0 2
0 0 2
2 0 0
0 1 0
2 1 1
1 2 1
10 4
2 2 2
0 1 0
1 2 0
1 0 1
2 1 2
0 2 0
0 1 1
0 0 1
1 1 2
1 0 2
10 5
1 0 2
2 1 1
2 0 2
0 2 0
2 0 1
0 0 1
0 0 0
2 0 0
1 2 0
1 1 1
10 2
1 0 1
0 2 1
0 0 0
2 1 0
2 2 0
1 2 1
0 2 0
0 1 0
2 1 2
2 0 2
10 5
2 2 0
3 2 1
2 2 2
0 3 3
0 1 1
1 0 1
0 1 2
3 0 0
3 1 0
1 3 3
10 7
0 1 3
1 1 2
2 0 3
1 1 3
3 1 0
3 2 2
2 2 0
0 0 1
0 3 2
1 3 1
10 3
1 0 2
3 3 0
3 3 2
3 1 0
0 3 2
3 0 2
0 0 1
0 3 3
0 0 3
0 3 0
10 3
0 2 2
2 3 1
3 0 1
0 1 1
1 0 1
3 3 2
1 2 3
1 0 3
3 1 0
2 1 2
10 2
0 0 0
3 1 0
2 3 0
1 1 1
3 2 3
0 1 0
2 2 0
3 3 0
1 0 0
1 0 1
10 8
3 0 2
3 1 0
2 0 1
2 1 0
3 1 1
3 2 1
1 1 0
1 2 1
0 3 2
1 1 1
10 7
2 2 2
0 2 0
1 2 1
1 0 1
2 1 1
2 2 1
1 1 2
1 2 0
0 0 0
0 0 2
10 4
0 1 1
2 2 1
0 0 1
0 2 0
0 2 1
1 0 0
2 1 0
2 0 0
2 0 1
0 2 2
10 7
2 1 0
0 2 3
2 1 3
3 1 3
2 1 1
1 0 1
0 3 1
2 0 2
0 3 0
2 2 0
10 3
2 1 3
0 0 0
1 3 1
1 0 1
3 0 1
2 3 3
3 0 2
0 2 0
0 2 3
2 3 0
10 2
2 1 0
2 0 2
2 0 0
2 2 0
1 2 1
2 2 1
2 2 2
0 0 2
0 1 1
0 2 0
10 5
1 2 0
0 0 0
1 0 1
0 1 1
2 2 2
0 2 2
0 1 0
2 0 1
2 2 0
0 2 1
10 8
0 2 1
2 0 1
0 1 2
0 0 1
1 1 1
2 2 0
2 1 1
0 1 1
0 2 0
1 2 0
10 2
1 2 2
0 2 1
2 2 2
2 0 0
2 1 2
1 0 1
2 2 1
0 2 2
0 1 2
1 0 2
10 4
1 0 0
1 1 1
2 0 0
1 0 2
0 1 1
2 1 2
0 0 0
0 2 2
1 1 0
2 1 0
10 8
2 0 0
0 1 1
2 2 0
1 0 2
0 0 2
0 0 1
0 2 0
0 1 2
2 1 2
1 2 1
10 8
0 0 1
1 0 1
0 1 2
1 1 0
2 0 2
2 2 0
0 1 1
2 1 2
1 1 2
2 2 1
10 2
0 0 2
1 0 1
0 1 1
1 1 2
0 2 2
1 1 1
2 1 0
0 0 0
2 2 2
2 0 2
10 2
2 0 0
0 0 2
2 1 1
1 0 0
1 0 2
0 2 2
0 1 0
1 1 0
1 2 0
1 2 1
10 4
3 2 0
2 3 1
3 3 2
3 3 1
0 1 2
2 2 3
1 2 0
3 0 0
0 1 3
2 3 3
10 7
0 1 0
0 0 2
0 0 0
1 1 0
2 2 0
1 2 0
2 1 0
2 1 2
2 0 0
2 2 2
10 6
0 1 2
3 1 1
2 0 1
2 2 2
2 3 2
3 0 0
3 2 3
2 0 2
0 0 1
0 2 0
10 7
2 1 3
2 2 1
0 1 3
1 3 2
1 1 0
1 1 3
3 1 1
3 1 0
3 0 0
0 2 3
10 4
2 1 0
2 2 0
1 2 1
2 2 2
2 0 1
1 1 2
0 1 2
2 2 1
2 0 0
1 0 1
10 6
2 2 2
2 1 1
0 2 0
1 2 2
1 1 0
1 1 2
2 0 2
0 1 0
1 0 0
0 0 0
10 2
0 2 0
0 1 0
0 0 0
2 1 1
0 2 2
1 0 1
1 2 0
1 0 0
1 2 2
1 1 2
10 3
2 0 2
0 0 2
2 2 1
1 2 1
0 1 1
0 0 0
0 2 2
1 0 2
1 2 0
0 0 1
10 6
2 1 0
1 1 2
2 0 0
0 0 0
2 1 1
0 2 2
0 0 2
2 0 2
1 2 2
0 1 0
10 5
1 3 3
2 0 2
2 2 0
0 3 2
3 1 2
0 0 1
2 3 2
1 1 3
3 0 1
2 0 0
10 7
3 0 0
1 3 2
0 0 2
1 1 3
3 1 3
1 0 2
0 0 0
0 3 2
3 3 2
3 0 2
10 7
0 0 2
1 2 1
1 0 1
2 2 0
1 2 0
0 0 0
0 2 0
0 2 1
2 2 2
1 2 2
10 2
2 1 1
1 1 2
2 2 0
2 1 0
2 0 0
2 2 2
1 1 0
0 1 1
2 1 2
2 2 1
10 7
2 2 0
0 0 1
1 3 0
0 2 1
3 3 2
3 2 2
3 0 3
2 1 1
0 0 2
1 3 3
10 6
1 2 1
0 0 2
0 1 2
1 2 2
1 0 2
2 0 2
0 2 2
1 1 0
2 1 2
1 2 0
10 7
2 2 2
2 1 0
0 1 1
0 0 2
1 2 0
1 0 2
0 0 1
0 2 1
2 0 1
1 2 2
10 4
2 2 1
2 0 1
1 1 1
0 1 0
1 0 1
1 2 1
2 2 0
1 0 2
0 2 2
0 2 0
10 6
1 1 0
1 2 0
0 0 2
0 1 1
1 2 1
2 2 2
0 0 1
2 0 1
2 2 0
0 0 0
10 8
0 0 3
2 0 3
1 0 1
3 2 1
0 2 3
0 3 1
0 1 3
3 0 3
0 3 3
1 0 3
10 5
2 0 3
3 1 2
3 0 3
3 0 1
2 3 3
1 0 1
3 3 3
0 2 3
3 3 1
1 2 0
10 6
1 1 0
2 2 2
2 2 0
2 0 0
2 1 2
2 1 0
2 2 1
1 1 1
1 1 2
1 2 2
10 7
0 1 1
2 2 1
0 1 0
1 0 2
1 0 1
2 1 2
0 1 2
1 1 1
0 2 0
0 0 1
10 2
1 1 0
2 3 2
1 2 1
0 0 2
0 0 3
0 3 3
2 3 0
3 0 2
1 0 3
0 2 1
10 8
3 1 2
3 2 0
2 3 0
0 2 2
2 3 3
3 2 1
0 3 0
2 0 2
0 0 1
3 0 2
10 8
1 1 1
2 1 2
0 0 0
1 0 0
2 2 2
1 2 0
2 1 1
1 1 0
1 0 1
0 0 2
10 4
2 2 0
3 1 1
3 3 1
1 1 2
1 3 3
0 1 3
3 0 0
1 3 1
3 3 3
3 2 0
10 9
1 2 0
0 2 0
1 0 0
0 0 2
1 1 0
1 0 1
0 0 0
0 2 1
2 0 0
2 1 2
10 6
0 0 1
1 3 0
2 0 1
1 0 1
1 0 2
2 2 3
1 0 0
3 0 3
1 0 3
1 2 0
10 5
1 1 3
1 0 1
3 0 1
3 2 2
1 2 3
1 3 2
3 0 3
1 1 0
3 0 2
0 0 0
10 8
2 2 0
2 0 0
2 3 0
3 0 1
1 2 2
1 3 3
0 1 3
0 3 1
1 0 3
2 2 3
10 8
0 1 2
0 2 2
2 2 3
3 1 3
2 0 0
2 0 1
3 1 2
3 3 1
1 1 0
1 3 1
10 8
2 0 0
1 1 1
2 0 1
2 2 0
1 2 1
1 1 0
0 2 2
0 0 1
0 1 1
0 1 0
10 8
3 2 0
1 2 3
0 3 3
1 2 2
1 3 1
0 3 1
1 0 1
1 0 0
2 0 0
0 2 1
10 4
1 3 1
3 1 0
0 3 2
0 1 3
0 1 1
3 1 1
0 0 2
3 0 2
0 1 0
3 0 1
10 3
1 2 1
3 2 3
2 2 3
1 1 3
1 0 1
0 1 3
3 2 0
3 0 3
1 2 0
0 1 0
10 9
0 2 0
2 1 0
1 0 0
1 0 1
2 1 2
1 0 2
1 1 2
0 2 1
2 1 1
1 2 0
10 8
0 0 1
2 1 1
2 1 2
2 0 2
2 0 1
2 2 2
0 1 2
1 1 1
1 0 1
0 2 1
10 3
2 2 1
0 2 2
1 0 1
0 0 0
2 0 0
2 1 0
1 0 0
2 1 2
2 1 1
2 2 2
10 9
2 1 0
1 0 1
2 3 3
2 0 3
0 1 2
1 0 2
1 1 1
2 1 1
3 3 1
2 2 2
10 6
3 1 0
1 0 0
1 2 0
2 1 3
2 2 0
2 1 2
1 2 2
1 3 2
0 0 0
3 1 2
10 9
2 0 0
1 2 2
0 0 2
0 1 1
1 0 1
0 2 2
0 2 0
2 2 1
1 2 1
2 0 1
10 3
1 0 3
0 2 0
1 3 1
1 2 2
3 3 2
2 2 0
0 3 1
0 0 3
3 3 1
1 2 0
10 3
0 2 1
1 0 1
3 2 2
2 1 3
3 3 3
3 0 1
2 0 0
0 0 0
2 2 1
1 2 3
10 3
1 1 2
2 2 2
0 1 1
0 0 2
0 2 1
0 1 2
2 2 1
1 0 2
2 2 0
0 0 1
10 9
0 0 1
1 1 1
1 1 0
2 0 0
1 0 0
1 0 1
0 2 2
0 2 1
1 0 2
2 1 0
10 7
0 3 2
3 1 2
1 2 0
1 2 1
0 0 2
2 0 1
2 3 3
3 0 1
2 0 3
2 2 0
10 4
1 0 2
0 0 1
2 0 1
0 1 0
0 0 0
2 2 0
2 0 0
2 1 2
1 0 1
1 1 2
10 5
3 3 3
2 2 3
2 2 0
0 2 2
3 1 3
0 3 1
0 3 0
2 1 3
0 0 2
3 0 0
10 6
1 1 0
2 2 2
2 2 1
0 0 2
1 2 0
1 0 2
1 1 2
2 2 0
2 0 1
0 2 0
10 6
1 0 2
1 2 0
1 2 2
1 2 1
2 0 0
1 0 0
0 1 2
2 1 0
2 1 2
0 2 2
10 5
2 2 2
1 1 2
1 2 1
2 0 1
0 0 1
1 0 0
0 2 1
1 0 1
2 0 0
0 2 0
10 3
2 0 2
2 0 0
1 0 2
2 2 1
1 1 2
0 1 0
1 2 0
2 2 2
1 2 2
0 2 1
10 3
2 0 2
0 2 2
1 2 1
2 0 0
1 1 0
1 1 1
1 1 2
0 0 2
1 2 2
2 0 1
10 3
3 2 1
0 0 2
2 1 2
3 1 0
3 3 3
2 2 2
3 0 3
2 1 1
1 0 3
2 2 3
10 7
0 1 1
2 1 1
1 1 1
2 0 1
0 1 0
0 2 2
0 2 1
2 2 1
1 0 2
1 1 0
10 7
1 3 0
0 0 3
1 3 2
0 3 3
1 1 2
0 0 0
3 1 3
2 1 3
2 2 2
3 3 3
10 3
2 2 0
1 3 0
2 0 1
3 2 2
0 1 3
2 1 0
2 2 2
2 2 3
1 2 2
1 3 1
10 2
1 3 0
1 3 3
1 2 3
3 1 3
1 2 2
2 2 1
3 3 0
1 0 1
0 1 2
0 0 2
10 5
1 0 0
1 1 0
1 0 2
2 1 0
0 2 0
2 1 1
0 2 1
1 2 2
0 1 2
1 1 2
10 4
3 3 2
2 2 3
3 0 1
3 1 3
1 3 1
2 1 3
2 3 3
2 0 1
0 0 3
3 0 2
10 3
1 2 0
1 0 1
0 0 2
1 2 2
1 1 0
1 0 0
0 0 1
2 2 1
2 2 0
2 2 2
10 3
1 0 3
0 3 2
3 3 3
0 2 0
2 1 1
1 0 0
3 2 3
1 0 2
3 0 0
3 0 1
10 5
1 1 2
3 0 3
1 2 2
3 2 3
2 3 2
2 0 3
2 2 0
1 3 3
0 3 1
2 1 2
10 7
1 0 0
1 2 2
0 1 2
0 0 1
2 2 0
2 0 1
1 2 1
0 2 0
2 0 0
1 1 1
10 4
0 2 0
2 1 0
2 0 2
2 0 1
1 0 1
0 2 1
0 1 2
2 1 1
1 1 2
0 1 1
10 3
3 2 2
1 1 1
1 3 2
3 0 2
3 3 3
0 0 1
0 2 0
3 2 1
1 2 0
1 1 0
10 5
0 0 1
2 2 2
1 0 0
2 0 0
0 0 0
0 2 1
0 2 0
0 2 2
0 1 0
1 2 2
10 3
0 2 2
2 2 1
1 0 1
0 0 1
2 1 2
0 0 2
2 2 2
2 0 0
0 2 0
1 0 0
10 2
0 2 0
1 2 1
0 2 1
0 2 2
2 2 2
2 1 1
0 0 1
2 0 1
0 1 1
2 1 2
10 8
2 1 0
2 0 0
0 1 2
0 0 0
0 0 2
0 1 0
0 1 1
0 0 1
0 2 2
1 0 1
10 9
2 1 2
1 2 0
1 1 1
1 1 0
0 0 1
2 0 2
2 1 0
1 1 2
2 2 0
1 0 0
10 8
0 1 1
0 1 2
2 0 0
2 2 2
2 0 2
0 2 0
1 0 1
1 1 0
2 2 1
0 0 1
10 8
1 3 2
1 1 1
0 0 3
3 1 0
0 1 2
2 3 0
3 0 1
0 3 2
2 0 2
3 1 3
10 6
3 0 0
3 1 0
0 0 3
2 3 2
0 0 0
2 2 3
0 1 1
3 2 2
3 1 2
2 2 1
10 9
1 1 1
3 1 3
1 0 3
2 3 1
0 0 3
2 0 0
2 3 3
2 3 2
3 0 2
0 0 0
10 7
1 1 1
3 1 0
1 1 0
3 0 3
3 2 1
3 1 2
0 0 0
1 0 1
2 0 1
0 3 1
10 7
1 1 2
0 2 0
1 2 2
1 0 0
0 0 2
2 2 1
2 1 0
1 1 1
0 1 2
0 0 1
10 6
2 0 0
1 2 1
2 0 2
1 2 0
1 1 2
0 2 1
1 0 2
0 2 0
0 0 1
1 0 1
10 3
2 3 1
2 3 3
0 2 1
2 0 3
1 0 1
1 1 0
0 1 3
3 3 2
3 1 3
1 2 1
10 7
2 2 1
1 1 1
1 1 0
0 1 1
1 2 2
0 1 0
1 1 2
0 0 0
2 1 1
1 0 2
10 2
1 2 1
1 1 0
1 0 1
0 1 1
2 0 1
2 1 2
0 1 0
2 2 2
0 2 0
2 2 0
10 8
0 2 2
1 3 3
0 0 1
1 3 2
2 0 1
0 1 1
0 3 1
1 0 3
2 0 3
1 0 2
10 2
3 2 1
1 0 1
2 0 2
0 2 1
0 1 1
0 3 2
3 0 2
2 1 3
2 3 3
2 0 0
10 3
1 1 3
3 1 3
1 3 1
2 3 1
2 2 3
1 0 3
2 3 3
2 0 3
0 3 2
3 1 2
10 2
1 1 3
2 1 2
2 0 0
0 0 2
2 2 3
3 2 0
0 3 3
2 3 0
2 1 1
3 3 2
10 8
0 3 3
0 0 1
2 2 0
2 1 3
0 0 3
0 3 2
3 3 0
2 1 1
1 0 1
1 0 3
10 6
0 0 0
1 1 3
2 2 0
1 0 1
0 1 0
1 1 0
0 0 1
0 3 0
3 3 2
2 3 0
10 8
1 0 1
3 1 3
3 3 0
0 0 1
3 3 2
3 0 0
1 2 3
2 1 0
2 1 3
2 0 0
10 4
1 1 2
1 1 1
0 2 0
0 0 1
0 0 2
2 0 2
0 1 1
0 1 2
1 2 2
0 0 0
10 9
2 1 1
2 1 2
1 2 1
1 0 0
2 2 1
1 1 0
1 1 2
0 1 2
0 0 2
2 1 0
10 5
2 2 2
0 2 2
0 2 0
1 0 2
2 0 2
2 1 0
0 0 2
1 0 1
1 2 1
0 0 0
10 4
0 0 3
1 0 3
1 0 2
2 2 1
3 1 2
2 0 1
2 1 2
2 3 1
3 2 0
2 0 3
10 2
2 1 3
3 3 1
3 3 2
2 2 1
1 0 2
1 0 1
2 2 2
1 0 0
3 1 3
2 1 1
10 7
2 2 2
2 1 0
2 2 0
2 2 1
2 1 2
1 2 1
0 2 0
0 2 2
0 0 2
2 0 0
10 9
1 0 2
1 0 0
2 0 2
1 2 2
0 1 0
2 1 1
0 0 2
0 0 0
0 1 1
1 1 0
10 9
0 3 2
2 3 0
2 0 1
1 0 0
2 1 2
0 3 0
1 0 1
0 0 1
1 2 2
2 1 1
10 3
2 0 0
2 1 1
1 0 1
1 2 2
0 0 1
1 1 0
1 2 0
2 1 0
2 0 1
2 2 1
10 7
2 0 2
2 2 2
1 1 2
2 1 1
1 0 2
1 0 1
1 2 1
0 1 1
1 0 0
0 2 0
10 6
0 3 2
3 2 3
3 0 3
1 1 0
1 0 3
1 2 1
3 2 2
0 2 1
2 1 1
0 2 2
10 8
2 1 1
1 1 1
1 2 2
0 0 2
0 2 2
1 0 1
1 2 1
2 1 2
0 1 1
2 0 2
10 5
0 1 1
2 2 1
2 0 0
0 2 2
0 2 1
0 2 0
0 1 0
2 2 2
2 2 0
0 0 0
10 5
1 1 0
1 2 1
0 2 1
0 0 0
0 0 1
1 1 2
0 2 0
0 0 2
1 0 0
2 1 2
10 7
0 1 1
2 0 0
3 0 2
1 2 1
2 0 1
0 0 0
2 3 2
3 3 3
0 0 3
0 0 2
10 4
0 1 3
3 0 3
0 2 2
1 0 0
3 1 1
3 1 3
1 2 1
1 3 3
1 0 3
1 3 1
10 5
1 3 2
3 2 3
2 3 0
3 1 3
2 1 2
2 0 3
1 2 0
1 0 0
0 1 0
3 2 0
10 2
3 3 1
3 0 3
1 1 1
1 3 2
2 0 1
2 2 0
1 1 2
3 3 3
3 1 1
3 1 0
10 9
2 1 0
0 2 1
2 2 1
2 1 2
1 1 1
0 0 2
1 2 0
1 1 2
0 1 0
2 2 2
10 5
1 2 3
0 2 0
2 2 1
3 1 2
1 1 2
0 0 2
1 1 3
1 2 2
2 3 1
1 0 2
10 6
0 0 2
0 2 1
2 0 1
2 1 1
2 1 2
0 0 0
1 2 1
0 1 1
2 2 1
2 1 0
10 3
2 2 2
2 2 0
0 2 2
0 2 1
2 1 0
2 1 2
0 1 2
2 0 2
1 2 1
1 0 2
10 5
2 2 0
2 1 1
0 1 1
1 1 1
1 1 2
1 2 0
0 0 2
1 2 1
2 0 0
1 2 2
10 6
2 1 0
1 0 1
2 0 2
0 2 0
0 1 1
2 2 2
2 1 2
0 1 2
0 0 2
1 0 2
10 6
2 1 2
1 0 0
0 1 2
2 2 2
2 1 1
1 1 1
2 1 0
2 2 0
2 2 1
0 0 1
10 3
0 2 0
2 1 0
2 1 1
1 2 0
0 2 2
0 1 0
0 0 1
2 2 1
0 1 2
1 0 1
10 5
0 2 2
0 2 1
1 0 1
1 1 2
2 1 0
1 2 2
1 1 1
1 1 0
0 0 2
0 1 0
10 4
1 1 2
0 0 0
2 0 0
2 1 1
2 1 0
1 1 0
0 0 1
0 1 0
0 2 1
1 1 1
10 6
2 2 1
0 2 2
2 1 1
1 2 0
1 2 1
0 1 0
0 0 0
0 1 2
0 0 2
2 2 2
10 6
2 0 0
1 2 1
1 0 1
0 0 2
0 1 2
2 0 2
0 1 0
1 2 0
1 0 0
1 0 2
10 4
0 1 2
2 2 2
0 2 0
2 0 2
1 2 0
1 2 2
1 0 1
1 1 0
0 2 1
1 0 0
10 8
1 2 2
2 0 0
0 2 2
2 0 1
1 0 0
1 2 0
0 1 0
2 2 1
0 2 1
2 0 2
10 5
2 2 1
3 2 3
0 0 3
0 0 2
1 3 2
2 0 1
3 0 0
0 2 2
0 3 1
1 0 3
10 5
2 0 2
1 2 0
2 0 0
2 2 1
1 2 1
0 1 1
1 0 0
1 0 2
2 1 1
1 0 1
10 9
1 3 3
0 0 1
3 1 3
3 3 1
0 0 3
3 1 0
0 1 0
2 2 0
1 3 0
2 2 2
10 9
1 2 1
0 2 2
0 1 1
1 2 2
0 1 2
1 1 2
1 1 0
2 0 1
0 2 1
1 0 2
10 7
0 1 1
2 1 0
2 0 2
2 2 1
1 0 0
1 2 1
1 1 2
0 0 2
0 0 1
0 2 1
10 7
2 0 2
1 2 1
0 0 1
1 2 0
1 0 0
1 1 2
0 2 0
0 0 2
1 0 2
2 1 0
10 9
0 0 1
2 1 1
0 0 2
2 0 1
1 0 1
1 2 0
2 1 2
1 2 1
2 0 0
1 1 2
10 3
2 1 0
0 2 0
1 2 2
2 2 1
0 0 1
0 2 2
1 1 0
2 2 0
2 0 0
1 0 1
10 7
0 0 0
1 2 0
2 1 0
2 1 2
1 0 2
1 0 0
0 1 1
1 2 1
2 0 2
0 1 0
10 8
2 0 2
3 3 3
1 1 3
3 1 1
1 2 1
2 0 0
1 2 3
0 2 0
2 3 2
1 3 0
10 8
2 2 0
1 0 1
2 1 1
0 2 0
0 0 1
2 0 1
2 0 2
1 1 1
0 1 1
0 0 0
10 3
0 3 1
2 3 1
1 2 1
0 2 0
0 1 2
1 3 3
1 0 3
0 1 0
1 2 3
0 0 0
10 4
1 2 0
2 0 2
1 2 1
0 0 0
1 0 1
0 1 2
1 0 0
0 2 2
2 1 2
2 2 0
10 3
0 2 2
2 1 1
1 2 0
0 2 0
0 0 1
0 0 0
1 0 2
1 0 0
1 1 1
2 1 2
10 3
1 2 0
2 0 2
0 1 2
1 0 1
2 1 0
2 1 1
2 0 0
0 0 0
1 1 1
2 1 2
10 9
1 1 3
0 2 0
2 3 0
2 0 1
1 3 0
0 3 3
3 2 3
1 1 0
2 3 1
3 2 0
10 3
2 1 2
1 0 3
3 3 1
1 2 1
3 1 3
1 3 3
1 1 2
0 2 0
0 3 3
1 1 3
10 4
1 2 0
0 3 1
2 0 0
0 1 1
1 3 0
3 2 0
0 3 0
3 2 1
1 2 2
2 1 1
10 8
0 1 3
2 2 0
1 3 0
3 3 2
3 3 3
1 1 0
3 0 2
0 0 2
2 1 0
2 3 1
10 2
3 1 2
0 2 1
3 1 0
1 3 1
2 3 1
2 2 3
0 3 0
3 2 1
3 3 2
0 2 3
10 5
1 2 1
0 2 0
2 0 2
1 1 2
2 0 1
0 1 1
1 2 0
2 2 2
0 0 1
0 1 2
10 4
0 1 2
2 0 2
2 1 2
1 0 0
2 0 0
1 0 2
2 1 0
2 2 0
1 2 2
2 2 2
10 3
3 1 1
3 0 2
0 0 1
2 2 3
0 0 0
2 0 0
0 1 1
1 0 2
0 3 3
0 1 2
10 9
1 1 2
2 3 3
1 2 2
3 0 0
0 2 0
1 3 2
1 2 1
1 3 1
0 0 3
0 0 1
10 9
2 2 1
1 2 2
1 0 2
1 0 1
1 1 1
2 2 0
0 2 1
1 1 2
2 0 2
1 2 0
10 2
2 1 1
0 0 1
1 2 0
1 0 0
2 1 2
2 1 0
0 1 1
2 0 1
2 0 0
0 2 1
10 6
2 0 1
0 1 2
0 0 0
0 1 0
2 1 1
0 2 1
0 2 0
1 2 1
1 0 2
1 2 0
10 2
1 1 0
0 0 2
0 2 0
2 1 2
0 2 1
0 1 0
2 2 0
1 2 2
1 2 1
1 1 2
10 5
2 3 0
1 0 2
2 2 1
2 0 1
0 0 3
2 3 1
3 0 0
2 3 2
1 3 0
1 3 1
10 8
2 2 3
2 3 2
2 1 1
3 3 1
0 2 2
2 0 2
3 1 2
2 0 1
3 3 0
2 1 2
10 2
0 1 2
1 0 0
2 1 0
1 1 0
2 1 2
2 1 1
1 2 1
1 0 2
2 2 0
1 2 0
10 8
2 3 3
0 0 3
3 1 0
2 1 1
0 3 1
0 3 0
0 1 2
0 2 2
0 1 0
1 2 3
10 2
2 3 3
3 0 1
3 1 1
3 3 0
3 1 0
0 1 2
3 0 3
3 2 3
0 2 1
1 0 0
10 8
3 1 2
2 2 0
3 1 1
2 2 1
0 2 0
1 3 1
1 3 2
1 3 3
0 0 0
1 0 0
10 7
0 2 0
2 1 0
2 2 2
2 0 1
2 2 0
0 0 0
2 0 0
2 1 1
0 2 2
1 1 0
10 2
2 3 2
2 0 1
2 1 3
1 0 0
2 1 1
3 0 2
2 0 2
2 2 3
0 3 2
0 0 3
10 2
2 3 3
3 2 3
3 0 2
3 2 2
1 3 1
0 3 3
1 0 1
2 1 0
1 0 0
0 3 0
10 7
0 0 2
0 0 1
2 1 1
2 0 0
0 1 2
1 1 0
2 1 2
1 2 1
1 1 1
1 1 2
10 7
2 2 1
1 2 1
1 3 0
3 2 2
2 0 3
0 3 1
2 3 2
0 3 3
2 1 1
1 3 2
10 9
2 2 3
0 2 0
2 0 2
3 2 2
3 3 3
3 0 0
3 2 1
1 1 1
2 1 0
1 0 3
10 4
3 1 3
0 0 2
0 2 3
1 0 1
1 3 1
3 0 0
3 2 0
0 3 2
2 3 3
0 1 3
10 2
1 3 1
1 1 3
3 3 1
1 0 1
2 0 1
2 1 2
1 0 3
1 2 2
1 3 3
2 3 3
10 8
1 1 0
1 2 0
0 1 1
1 0 1
0 1 2
1 1 1
0 0 1
1 0 2
0 1 0
2 2 0
10 3
0 1 0
1 2 2
1 0 0
0 0 1
1 1 1
0 0 0
0 2 0
2 2 2
2 0 0
2 2 0
10 9
2 2 0
2 1 1
1 0 2
0 2 2
2 2 2
1 1 0
0 2 1
2 1 0
1 2 2
1 2 0
10 9
2 1 2
1 2 2
2 2 0
2 2 1
0 2 2
0 2 1
1 1 0
1 0 2
2 0 2
1 1 2
10 3
1 0 0
2 1 2
1 2 1
1 1 2
1 1 0
2 1 0
2 2 1
2 2 2
1 0 2
0 0 1
10 4
0 2 2
1 0 0
2 2 2
2 0 1
1 2 0
2 1 2
0 0 0
2 2 1
1 0 1
0 2 1
10 7
1 2 3
3 0 0
1 3 2
0 3 0
0 1 2
0 0 2
2 3 2
1 1 3
1 0 1
0 2 3
10 8
0 2 1
0 0 0
0 1 2
3 2 0
1 1 2
3 0 1
1 3 3
1 0 0
1 2 2
0 1 1
10 4
1 1 0
0 2 1
2 2 2
0 2 2
1 1 1
0 2 0
2 0 2
1 0 0
2 0 0
2 1 0
10 5
2 2 0
0 1 0
1 2 2
2 3 3
2 1 3
0 1 1
2 2 1
2 0 0
2 3 0
1 2 0
10 4
2 2 1
0 0 2
1 1 0
1 1 2
1 0 0
2 0 2
2 0 1
2 2 2
1 0 1
1 0 2
10 5
1 0 3
0 1 2
3 0 3
3 2 0
2 0 3
2 3 1
0 0 3
1 3 1
3 1 1
0 3 3
10 3
0 0 0
1 1 0
2 2 0
1 2 2
1 1 1
0 2 0
2 1 0
0 2 1
0 1 1
0 0 2
10 3
2 2 0
2 1 0
0 0 1
0 1 1
1 2 2
0 2 1
2 0 2
1 1 0
1 2 0
0 2 0
10 6
2 2 2
0 1 0
2 2 0
1 1 0
0 0 0
2 0 1
1 0 2
0 1 2
0 0 2
1 2 1
10 8
0 2 2
3 1 3
1 0 2
2 3 0
2 3 2
1 1 2
0 2 0
0 1 0
2 1 1
1 1 1
10 4
1 1 2
2 0 0
1 2 2
0 0 1
0 1 0
0 2 0
0 0 2
1 2 0
1 2 1
1 1 0
10 7
3 0 3
3 1 2
1 3 3
2 0 2
2 3 1
2 2 3
1 0 1
2 2 2
1 2 1
3 3 2
10 9
0 0 2
1 2 1
0 0 1
2 1 3
1 3 3
1 0 1
2 2 3
0 2 0
1 1 2
3 3 1
10 4
1 2 0
2 1 0
2 1 2
1 0 1
2 2 2
2 0 2
2 2 0
0 1 1
1 1 2
0 0 1
10 3
1 0 0
2 2 0
0 2 0
2 2 1
2 1 1
2 2 2
1 1 0
1 2 0
1 2 1
0 0 1
10 6
2 1 0
2 0 1
2 0 2
1 1 1
0 1 2
0 2 2
1 2 2
0 0 2
2 1 2
0 2 1
10 8
0 0 3
1 2 0
0 1 3
2 1 3
3 3 3
1 2 3
1 0 0
3 2 2
2 3 2
2 0 3
10 8
3 1 3
2 0 1
1 1 2
2 2 2
1 2 3
3 3 2
3 2 0
1 1 1
3 3 1
0 0 3
10 8
2 1 1
0 0 2
1 1 0
2 0 2
2 2 2
2 0 0
0 1 1
0 1 2
2 0 1
0 2 2
10 6
3 0 2
3 1 2
3 2 1
3 3 2
1 0 2
0 2 3
1 2 3
1 2 0
0 1 2
0 0 0
10 2
0 0 1
0 2 1
2 1 0
2 2 1
0 0 0
2 1 1
0 1 1
1 1 0
2 1 2
0 2 2
10 9
1 3 3
0 3 3
3 0 0
0 0 2
3 3 3
0 3 0
3 1 0
3 2 1
1 3 1
2 3 0
10 7
2 0 3
3 3 1
0 2 0
3 0 2
2 1 1
3 2 3
3 3 0
3 0 0
2 0 2
1 0 1
10 6
1 1 1
1 2 1
0 1 1
2 1 2
0 0 1
1 0 2
2 2 1
0 2 0
2 0 0
2 1 0
10 6
1 0 3
3 0 0
0 3 2
2 1 0
3 0 3
1 0 0
2 1 1
3 2 0
2 3 0
2 2 0
10 3
1 2 3
3 0 2
2 3 3
2 2 3
2 2 1
3 1 0
2 3 0
3 3 3
1 2 0
2 0 0
10 5
1 2 0
1 1 1
1 0 1
2 2 1
2 2 2
2 1 2
1 2 1
2 0 0
0 0 0
2 1 0
10 4
1 0 2
2 0 2
0 3 2
2 0 0
1 1 2
0 2 3
0 0 2
1 3 3
3 0 0
2 1 0
10 4
1 2 2
0 2 1
1 1 1
2 2 0
0 0 1
2 1 0
0 1 2
0 1 1
2 2 2
0 2 0
10 9
1 2 0
0 1 0
2 0 0
2 1 0
1 1 1
2 2 2
1 2 2
2 2 0
0 0 2
0 2 1
10 3
2 3 3
2 3 1
0 3 1
0 0 1
2 1 1
3 0 0
1 0 2
1 1 3
3 3 0
1 0 0
10 8
2 1 0
1 2 3
0 0 0
3 1 1
3 1 0
3 3 0
0 3 3
3 3 1
1 0 0
3 0 3
10 2
2 2 1
1 1 2
2 1 0
2 0 2
0 2 1
0 1 0
1 0 1
1 0 0
0 2 2
2 2 0
10 5
0 0 1
0 1 2
1 0 0
1 1 1
2 2 0
2 1 2
2 2 1
0 1 1
1 1 0
1 0 1
10 3
1 0 0
1 0 1
2 2 0
2 0 1
0 0 0
0 2 2
0 2 0
0 0 1
2 2 2
2 1 1
10 7
1 2 1
0 1 1
1 2 0
2 0 0
1 2 2
0 0 2
2 1 1
0 2 2
2 1 2
0 1 0
10 7
1 1 0
1 0 2
1 1 1
1 2 1
1 0 0
0 0 1
1 1 2
0 1 1
0 0 2
1 0 1
10 7
1 1 3
1 0 2
2 2 2
1 2 0
0 0 1
0 1 3
3 3 2
2 2 3
2 3 3
3 3 1
10 6
0 0 1
0 0 2
2 0 0
1 1 2
2 1 1
0 2 1
1 0 1
1 1 1
0 0 0
2 0 2
10 2
0 1 1
0 0 1
3 3 1
2 3 2
1 1 3
3 3 2
0 3 2
0 3 1
2 1 1
0 2 3
10 7
0 1 2
3 1 3
2 1 1
2 2 2
2 2 1
0 2 0
1 1 3
2 3 3
1 1 1
2 2 0
10 9
3 2 0
1 3 1
0 0 1
2 2 0
2 0 3
3 2 1
2 0 1
0 1 1
0 3 3
3 2 2
10 5
1 0 0
2 2 0
1 0 1
2 1 1
2 1 2
2 2 1
0 2 1
2 2 2
2 1 0
1 1 1
10 6
1 0 1
2 0 1
2 0 2
2 1 2
2 1 0
1 2 0
0 0 2
0 2 2
0 2 1
0 1 0
10 2
0 1 3
1 3 1
0 3 1
0 3 0
0 0 0
0 2 3
2 2 1
2 3 3
3 1 1
1 1 1
10 7
3 1 0
0 0 2
2 0 2
0 0 1
1 3 0
1 0 3
1 3 1
1 3 3
1 3 2
2 0 1
10 7
2 3 0
2 2 0
1 1 0
1 1 2
0 2 0
3 1 0
2 0 1
0 0 3
0 2 2
3 1 3
10 8
0 0 0
0 3 3
2 1 0
1 1 3
1 2 3
0 0 1
2 2 1
2 1 2
3 1 2
2 1 1
10 4
0 2 1
1 1 0
1 0 2
1 0 0
0 2 0
1 1 1
0 0 0
0 2 2
2 1 0
0 1 2
10 4
1 0 2
0 2 1
0 0 2
1 1 0
1 0 0
2 0 0
2 2 2
0 2 0
0 1 1
2 1 0
10 8
2 3 3
1 0 2
0 0 0
2 1 3
2 2 0
3 0 3
2 2 3
0 2 0
1 0 1
0 3 1
10 2
0 2 0
3 3 3
1 1 1
3 0 2
0 3 1
0 2 1
2 1 1
0 3 3
2 0 2
0 2 2
10 2
1 1 0
1 0 1
0 2 2
2 0 2
1 2 0
2 2 2
1 2 1
2 2 0
1 1 1
0 2 0
10 6
3 1 2
3 2 2
1 1 2
0 0 0
0 2 2
1 1 1
3 0 0
3 0 3
2 2 1
3 2 3
10 6
0 1 2
1 1 1
0 0 2
2 2 1
2 0 2
2 1 0
0 1 1
2 2 0
0 2 0
1 2 2
10 8
2 0 2
0 0 3
3 3 2
3 3 1
1 2 0
1 3 3
2 0 1
0 2 3
1 1 2
0 2 0
10 8
1 2 2
0 2 1
1 0 0
2 2 2
0 2 2
2 2 1
1 2 0
2 1 0
0 1 1
2 1 2
10 8
2 2 2
1 2 2
0 0 2
2 1 2
0 2 1
0 1 1
0 2 0
2 0 2
0 0 1
2 2 0
10 3
2 2 1
1 0 2
1 1 2
2 1 0
2 2 2
0 0 2
0 1 1
0 2 0
1 2 1
1 2 2
10 7
0 2 0
0 0 1
1 0 1
1 0 2
0 2 1
2 2 0
2 2 2
0 1 2
0 0 0
1 2 2
10 2
1 0 0
2 2 1
0 2 1
1 1 0
0 2 0
1 0 1
2 0 2
2 1 0
0 1 2
2 0 1
10 8
0 1 1
0 1 2
2 0 0
1 1 1
2 1 1
0 2 0
2 2 2
0 0 1
2 1 2
1 1 2
10 4
2 1 0
1 0 2
1 1 0
2 0 2
2 1 2
2 0 0
1 0 0
0 0 2
0 1 1
0 2 0
10 4
0 0 2
0 1 0
2 0 1
2 1 0
1 1 2
1 2 2
1 1 1
1 1 0
1 2 1
0 1 2
10 8
1 0 1
0 0 1
1 0 0
1 2 2
0 1 0
2 1 1
0 0 0
1 1 1
2 0 0
2 2 0
10 7
0 1 1
1 1 1
2 0 1
1 2 0
2 2 0
0 0 1
2 1 2
0 2 0
0 1 0
2 0 0
10 4
1 1 1
2 2 1
2 0 1
0 1 1
0 0 2
1 0 2
2 2 2
1 1 0
1 0 0
0 2 1
10 5
1 1 3
2 3 0
3 0 0
3 3 1
0 0 0
0 1 0
1 2 3
2 2 0
3 1 1
3 2 2
10 8
2 3 0
1 3 3
3 2 0
0 0 2
0 3 0
2 0 2
2 1 0
1 0 2
1 3 1
2 0 3
10 4
0 2 0
3 2 3
2 0 0
1 2 1
2 1 3
2 3 3
2 0 1
3 2 1
1 1 3
1 2 2
10 9
1 2 1
1 0 1
2 2 1
2 0 0
2 1 2
1 1 2
1 2 2
1 1 0
1 0 0
0 0 2
10 5
2 2 0
1 1 1
1 2 2
0 2 1
1 1 0
2 1 1
0 0 2
1 1 2
0 0 0
0 1 1
10 2
3 2 2
2 1 3
0 0 1
0 3 3
1 2 0
3 0 0
3 1 1
1 1 2
3 3 0
1 1 0
10 2
1 0 2
0 1 1
2 2 2
2 0 1
2 2 0
2 0 2
0 2 0
0 0 2
0 0 0
1 0 0
10 6
2 3 3
2 0 0
3 1 3
0 1 3
2 1 0
3 1 0
1 3 0
1 1 0
3 1 1
0 1 0
10 6
2 1 1
3 3 3
3 2 3
3 1 0
3 3 0
2 2 0
2 1 2
0 1 2
0 0 1
0 2 0
10 4
2 1 2
0 0 1
0 2 1
2 2 0
2 0 1
2 0 2
0 1 1
2 1 1
0 2 2
2 2 1
10 2
0 2 0
1 2 1
3 3 1
2 0 3
2 0 2
2 2 0
0 1 0
1 3 3
3 2 1
3 3 2
10 3
3 1 2
2 1 2
1 2 2
0 2 3
0 3 1
1 0 0
3 2 0
1 1 3
2 3 2
1 3 3
10 8
2 3 1
2 0 1
3 3 0
2 2 3
3 1 1
1 3 1
0 3 1
0 0 0
0 0 3
1 2 1
10 6
2 0 1
2 1 1
2 1 2
1 1 0
1 0 1
0 1 1
0 0 1
1 0 0
2 0 0
0 0 2
10 2
2 1 0
1 3 3
0 0 1
0 2 3
2 2 1
0 3 2
1 0 0
0 0 3
2 3 2
3 3 1
10 6
1 0 0
2 1 3
1 2 0
2 2 3
2 0 2
1 1 2
1 2 3
0 3 3
2 1 2
3 0 3
10 5
3 1 1
3 1 0
1 2 2
0 2 3
0 2 2
2 2 2
1 0 2
1 2 3
2 1 1
0 3 1
10 5
0 0 3
2 1 1
3 0 2
0 2 1
0 3 1
0 2 0
2 3 0
1 3 0
2 2 0
2 1 3
10 7
2 2 3
1 0 3
0 3 1
2 2 1
3 2 3
0 1 1
0 1 0
3 1 2
2 0 2
1 1 0
10 5
3 3 1
3 2 2
1 0 3
2 0 3
2 2 2
1 0 1
2 3 3
0 1 0
3 3 0
3 0 2
10 3
1 3 2
1 0 2
1 1 0
0 2 3
1 2 1
0 3 3
0 0 1
3 3 3
1 2 3
2 3 0
10 8
2 2 1
2 0 1
0 1 2
1 0 2
0 2 2
2 2 2
2 0 2
2 2 0
1 2 0
0 2 1
10 7
2 0 1
0 0 0
1 0 0
1 2 0
2 1 1
2 2 2
2 0 0
0 2 2
1 2 2
1 2 1
10 9
1 0 1
2 1 0
2 0 2
0 2 0
1 0 0
1 1 0
0 0 2
0 0 1
0 2 1
2 1 2
10 7
2 3 0
0 0 1
0 3 3
2 0 3
1 0 3
2 1 2
3 3 2
1 2 0
0 1 3
0 3 0
10 9
2 0 1
1 1 2
2 2 1
2 2 0
0 0 1
1 0 0
0 2 2
1 0 2
0 0 0
1 0 1
10 5
2 2 1
0 0 3
3 0 3
2 1 3
1 0 1
1 2 3
2 2 0
1 3 2
3 2 3
0 1 1
10 5
1 2 2
0 2 3
1 3 1
0 3 2
1 3 3
3 0 2
0 1 3
2 3 3
1 0 1
0 3 0
10 7
2 1 0
1 1 1
1 2 1
1 0 2
2 1 2
0 0 2
0 0 1
0 2 2
0 0 0
1 2 0
10 4
1 2 0
0 0 0
1 2 1
2 0 2
0 1 2
2 1 0
2 0 0
1 1 1
1 0 2
2 1 2
10 2
2 2 2
0 0 1
2 2 1
0 2 0
2 1 0
2 0 1
2 1 2
0 1 2
1 1 1
2 2 0
10 4
0 1 2
2 3 0
0 2 0
0 0 3
3 3 2
3 0 2
2 1 3
3 0 0
0 1 3
1 3 0
10 6
3 0 2
2 0 1
3 1 1
3 2 2
2 0 2
3 3 0
0 3 1
3 0 1
0 0 3
2 2 1
10 3
0 2 0
1 0 2
2 0 0
0 2 2
2 1 0
0 0 0
0 0 2
1 0 0
1 2 2
0 1 0
10 8
1 3 3
2 1 0
3 2 3
3 1 2
0 3 2
2 2 3
2 0 2
1 0 0
3 2 0
1 1 0
10 7
2 0 0
3 3 1
2 0 3
2 1 3
0 2 1
3 3 3
3 2 2
3 0 0
0 2 2
3 2 0
10 2
0 1 0
1 0 0
0 2 0
2 2 1
1 1 1
0 0 2
2 0 0
1 2 1
2 1 0
1 2 0
10 7
1 0 0
1 2 0
0 2 1
1 2 1
0 0 1
2 2 1
2 2 2
0 0 2
2 1 0
0 1 0
10 5
1 3 2
0 0 1
2 3 3
3 1 0
3 1 3
2 0 0
3 2 2
3 3 2
0 3 1
2 3 1
10 5
1 0 0
1 1 2
2 1 1
1 1 1
2 1 0
0 2 0
0 1 0
0 1 2
2 2 0
0 2 2
10 7
1 1 2
2 2 2
1 1 1
0 1 2
0 0 1
2 2 0
2 0 0
0 2 1
1 2 2
1 0 1
10 6
3 0 3
0 0 3
1 2 2
2 0 3
0 1 1
2 1 3
1 2 0
0 0 0
1 3 0
1 0 3
10 7
1 2 3
0 3 0
0 1 1
2 1 2
3 3 3
2 1 3
1 3 3
0 0 2
3 3 2
2 2 3
10 2
1 0 2
3 2 1
3 2 0
1 0 1
1 1 1
2 2 1
3 3 0
0 3 0
0 1 2
1 2 1
10 8
1 0 2
2 2 1
1 1 2
2 0 0
2 2 0
2 0 2
0 2 2
1 1 1
0 1 1
1 1 0
10 3
2 1 1
1 1 2
0 0 0
1 2 2
1 2 0
2 2 1
0 2 1
2 2 2
2 0 0
0 1 1
10 6
2 3 2
2 1 2
3 0 3
0 2 2
0 2 3
0 1 0
1 2 1
3 3 3
1 3 0
0 3 0
10 9
1 3 2
3 0 1
3 2 1
0 1 3
1 1 0
1 2 2
1 2 1
1 3 0
1 3 1
0 2 2
10 9
3 1 1
3 3 1
1 3 1
0 1 2
2 3 2
2 0 0
2 1 0
0 1 3
2 2 3
1 2 3
10 9
1 0 0
2 0 3
2 3 2
1 3 0
0 2 3
2 2 3
2 2 1
3 3 3
1 2 2
0 1 0
10 5
3 0 1
1 3 3
1 1 0
0 3 3
1 2 3
3 1 1
2 3 1
1 3 0
2 0 1
0 3 2
10 3
2 1 3
2 1 0
2 0 3
1 0 1
1 1 2
0 1 0
1 0 0
2 1 2
2 0 0
1 1 0
10 9
3 1 2
2 2 2
1 0 0
0 1 3
0 3 0
3 3 1
1 2 1
3 1 1
2 0 3
3 0 2
10 4
1 1 2
2 1 2
1 1 0
0 0 1
1 0 2
2 2 2
0 2 0
1 0 0
1 0 1
2 1 0
10 6
1 2 0
1 2 1
1 2 2
2 1 2
2 2 2
0 2 0
1 1 1
1 1 2
2 1 1
1 0 2
10 4
3 0 0
2 3 1
3 2 1
3 3 1
1 1 2
0 2 3
2 3 3
2 0 2
1 0 1
3 2 2
10 9
0 1 1
0 2 2
0 2 0
2 2 2
1 0 2
1 1 1
0 1 0
2 1 1
0 0 2
2 2 1
10 8
2 0 2
1 1 1
3 1 3
2 1 3
0 0 2
0 2 1
1 1 0
0 0 3
3 0 0
2 2 0
10 3
2 2 0
0 1 1
1 2 1
1 0 1
1 2 0
2 1 0
2 0 1
2 1 2
1 1 1
2 0 2
10 2
0 2 0
1 0 0
0 2 1
0 0 0
2 2 1
1 1 1
2 0 2
0 2 2
2 1 2
2 0 1
10 9
0 2 2
0 2 1
2 1 1
0 1 1
0 2 0
2 1 2
0 0 1
1 1 0
1 2 2
2 1 0
10 8
2 2 0
0 1 1
2 1 0
1 2 0
2 0 0
0 1 0
0 0 2
2 1 1
2 0 1
2 2 1
10 9
1 3 1
3 1 3
1 3 3
0 0 0
2 2 3
2 0 3
0 3 2
2 1 0
3 1 0
3 0 2
10 9
1 0 2
2 1 2
2 2 0
0 1 2
0 0 2
2 1 1
0 1 1
2 0 0
2 0 1
1 1 2
10 6
3 2 1
0 0 1
1 3 0
3 2 3
3 0 3
0 0 0
1 2 0
1 1 0
3 2 0
3 0 0
10 6
2 2 1
2 0 1
1 3 0
2 2 3
2 1 1
1 1 3
1 0 3
2 0 2
1 3 2
0 3 3
10 5
0 2 2
0 0 2
1 2 1
2 0 2
0 1 1
0 0 1
0 1 0
1 0 0
2 2 2
1 2 2
10 2
1 1 2
0 2 1
2 0 1
1 1 1
2 1 2
0 1 2
1 1 0
0 0 0
2 2 1
2 0 0
10 6
0 0 1
1 2 2
2 3 1
0 1 1
1 2 0
0 1 0
3 2 3
2 1 3
1 3 3
3 3 0
10 8
2 1 0
2 2 0
1 1 1
2 1 2
1 2 1
2 1 1
2 0 1
1 0 2
2 2 2
0 2 0
10 9
0 0 2
1 2 3
0 0 1
2 3 1
0 2 2
3 3 3
3 1 3
2 2 2
1 1 2
2 0 1
10 2
2 0 2
1 1 3
1 2 0
2 1 1
1 0 1
0 1 1
2 1 2
3 3 0
2 3 3
3 2 0
10 8
0 3 0
3 1 2
0 0 2
3 3 1
2 0 1
3 0 2
1 1 3
1 1 2
1 1 1
3 3 2
10 7
1 1 3
2 2 3
3 1 0
2 2 0
2 1 0
3 2 0
2 0 3
1 1 0
1 3 0
3 1 1
10 4
2 0 1
3 1 2
0 3 3
2 0 0
1 1 1
1 0 0
1 2 3
3 0 0
3 0 2
0 1 1
10 6
2 1 2
0 1 0
1 0 3
1 0 0
3 1 1
1 1 2
0 1 2
2 0 0
3 3 0
2 0 2
10 3
0 2 1
2 2 0
3 3 2
3 2 1
2 0 3
2 3 3
1 1 0
1 1 2
0 2 3
0 0 0
10 4
2 0 3
0 0 3
0 3 2
3 0 3
1 3 1
3 2 2
3 3 1
0 0 1
2 3 0
1 0 3
10 8
1 1 2
2 2 1
0 2 0
1 1 0
2 0 1
0 1 1
0 2 1
1 0 2
2 1 0
1 0 1
10 3
0 3 2
0 0 0
3 3 0
0 1 3
2 2 0
2 0 3
0 2 2
2 3 0
3 2 3
2 2 2
10 2
1 2 2
0 0 0
2 0 1
2 1 0
2 1 1
0 0 2
2 1 2
2 2 1
1 1 0
0 1 0
10 6
0 1 1
2 0 1
1 1 0
0 2 0
1 2 2
0 0 2
1 0 2
0 0 0
2 2 1
2 1 2
10 9
2 1 3
0 0 0
1 3 1
1 0 3
0 1 0
0 0 1
3 1 3
0 3 3
2 0 2
3 3 2
10 7
2 2 2
1 0 0
0 0 1
1 1 0
2 0 1
1 2 0
1 2 1
1 2 2
0 1 1
0 1 0
10 3
2 2 2
1 1 2
2 2 1
0 0 2
0 2 1
0 2 2
1 2 2
2 1 0
2 2 0
0 1 2
10 7
3 2 0
2 1 2
0 3 1
3 1 0
0 3 2
3 0 3
1 1 2
0 2 1
2 2 1
2 0 2
10 8
3 3 3
2 3 2
1 3 2
0 2 0
2 2 3
1 2 2
3 0 0
2 2 0
1 2 3
0 1 3
10 2
1 2 1
0 2 1
2 2 2
0 0 2
2 0 0
2 0 1
0 1 1
0 0 1
1 1 2
0 2 0
10 7
2 0 0
1 0 2
0 3 1
2 2 0
1 0 3
0 2 1
3 0 1
3 0 0
2 0 1
2 1 3
10 5
0 0 0
1 2 1
1 3 0
2 1 1
1 0 2
2 0 0
3 0 1
3 3 0
1 2 0
0 3 2
10 7
2 1 2
1 1 1
2 2 2
0 0 2
0 0 1
0 2 2
2 2 1
1 1 2
1 2 2
0 2 1
10 4
2 1 0
1 0 0
1 1 1
2 2 1
2 1 1
0 1 1
0 0 0
1 1 0
0 1 0
2 2 2
10 9
1 1 2
0 2 2
1 2 2
1 2 0
2 1 0
2 1 2
0 1 1
1 0 1
2 2 1
2 0 2
10 5
0 1 1
3 2 3
2 2 1
3 0 2
0 3 3
2 1 2
2 3 0
3 3 1
1 3 0
1 3 1
10 6
1 1 0
0 2 2
0 1 1
0 1 0
2 1 1
0 1 2
2 0 2
2 2 1
0 0 2
1 1 2
10 8
0 1 2
1 3 0
2 1 3
2 0 3
0 1 1
1 0 1
0 1 3
0 3 2
1 3 3
1 2 0
10 9
1 0 3
2 3 3
2 2 1
1 3 2
1 3 1
3 3 3
1 1 0
3 0 1
1 0 2
0 3 2
10 9
2 1 3
3 0 0
2 2 0
0 1 0
2 0 1
3 1 0
0 1 3
0 1 1
0 2 0
3 0 3
10 9
3 3 3
1 1 3
1 0 0
0 3 2
0 0 2
0 1 2
2 0 1
3 1 2
1 2 1
3 3 1
10 7
3 0 2
1 2 1
3 1 0
1 0 2
1 1 1
0 2 3
0 3 0
3 3 2
0 0 1
0 3 2
10 2
1 0 0
0 1 2
2 2 0
1 2 1
1 0 1
0 0 0
2 2 2
2 0 2
0 2 0
2 1 1
10 8
2 2 3
3 3 0
0 3 3
0 2 1
3 2 3
3 1 1
2 2 0
1 2 0
3 0 3
2 0 0
10 5
2 2 0
1 2 2
3 3 0
2 1 3
3 1 0
3 0 3
3 2 3
0 2 1
0 2 0
1 3 2
10 8
3 1 3
1 1 0
2 0 0
0 2 2
2 1 2
2 2 1
2 0 1
1 0 2
2 3 2
3 3 2
10 3
1 2 2
1 2 3
3 1 1
2 2 1
3 2 3
3 1 0
1 0 1
3 0 1
2 1 2
2 2 3
10 8
0 2 1
0 1 2
1 2 2
2 1 0
0 0 2
0 2 0
0 0 0
2 2 1
2 1 2
2 1 1
10 4
2 1 0
0 1 1
0 2 2
2 2 2
2 0 1
0 2 1
2 0 2
2 2 1
0 2 0
1 0 1
10 6
0 1 0
0 2 2
2 1 0
2 0 2
2 1 2
2 0 1
2 1 1
1 2 1
1 1 0
0 1 2
10 8
3 1 0
3 0 3
3 0 0
2 1 2
1 1 1
2 2 0
1 0 2
0 0 0
0 1 1
3 3 2
10 5
1 3 1
0 2 2
2 0 0
0 0 2
1 0 1
3 2 3
0 1 0
2 1 2
1 3 2
0 0 3
10 5
0 2 2
1 0 0
2 1 0
3 1 2
1 1 1
1 2 3
2 3 3
3 2 1
2 2 1
0 0 3
10 3
1 1 1
1 2 0
2 1 1
1 1 0
2 0 2
2 2 1
2 0 1
0 1 0
0 2 2
0 0 1
10 9
2 3 0
2 0 1
3 2 1
1 3 0
0 0 3
3 0 1
3 2 3
3 1 0
1 1 2
3 3 3
10 3
2 2 0
2 2 2
0 0 0
2 2 1
1 1 0
1 2 2
1 0 2
0 0 2
2 0 2
2 1 0
10 4
3 1 3
3 1 0
3 0 2
1 1 0
3 3 1
1 3 0
1 1 1
0 1 0
0 2 3
0 3 0
10 9
1 2 0
2 0 3
1 1 2
3 2 0
3 0 3
0 3 3
0 0 2
1 0 3
1 3 1
1 3 0
10 8
0 0 1
2 0 2
0 1 0
0 1 1
1 1 1
0 0 2
1 2 1
2 0 1
1 2 2
0 2 1
10 9
1 2 0
1 0 0
0 1 0
0 0 1
2 2 0
2 1 0
2 0 2
1 0 1
1 1 2
1 1 0
10 4
3 0 0
0 1 3
2 1 3
2 3 1
2 1 1
2 0 3
1 2 2
0 3 0
0 2 2
3 2 2
10 5
2 2 0
0 2 1
0 1 1
2 1 0
1 0 0
0 0 2
2 1 1
0 2 2
1 0 2
0 0 0
10 5
0 2 2
3 0 3
3 0 2
2 1 3
3 1 1
1 2 1
1 2 0
1 3 2
1 3 1
2 3 1
10 6
2 1 3
0 0 1
3 0 0
3 2 2
2 3 0
2 0 2
1 0 0
1 3 1
2 0 1
0 3 1
10 4
0 2 0
0 3 2
1 2 0
2 0 0
0 3 3
0 3 1
3 3 0
3 3 2
2 3 2
0 1 2
10 5
3 0 1
1 3 1
3 0 3
0 2 2
3 3 1
2 1 0
1 3 3
0 1 2
2 2 0
3 3 2
10 8
3 2 2
1 1 1
1 2 0
2 0 1
3 0 2
2 3 3
2 1 3
2 3 1
2 0 2
1 0 0
10 7
2 3 0
0 3 0
1 2 3
2 1 3
1 3 2
1 2 2
3 3 2
0 2 2
0 0 3
0 2 0
10 9
1 1 1
1 0 2
2 0 0
0 0 2
1 1 2
2 1 0
2 1 2
2 2 2
1 2 1
1 2 2
10 5
3 3 0
1 2 2
0 2 3
3 0 3
2 3 1
2 0 0
1 3 2
3 3 1
2 2 0
1 0 3
10 8
0 0 2
0 0 1
2 0 0
2 1 3
2 2 2
3 2 1
2 1 0
3 1 1
0 2 1
3 3 0
10 2
2 1 1
0 2 2
0 1 2
2 0 1
2 2 1
2 1 0
1 2 2
1 0 0
0 1 1
1 0 2
10 9
2 1 3
3 3 2
0 0 2
2 3 0
2 2 1
2 0 0
1 0 0
3 1 2
3 3 3
2 3 3
10 4
3 0 0
3 2 1
3 3 0
1 1 0
2 1 0
1 0 3
2 2 3
2 2 1
1 0 2
1 2 1
10 9
0 1 1
1 0 2
2 1 0
2 0 0
0 0 0
0 1 2
2 1 1
2 2 0
0 2 2
1 2 2
10 7
2 2 1
0 1 2
2 1 0
2 1 1
2 0 2
2 2 0
2 0 1
0 0 0
1 1 0
0 2 0
10 7
2 1 2
3 3 1
1 0 0
3 2 0
2 1 1
2 2 0
0 0 0
1 2 2
0 2 0
3 1 2
10 6
2 0 1
2 1 1
0 2 0
2 1 2
0 1 1
3 3 1
1 2 2
0 2 1
2 3 2
0 3 3
10 3
2 0 1
0 0 2
1 2 0
0 0 0
2 1 2
1 1 1
0 2 2
0 1 1
0 2 0
2 1 0
10 7
2 1 2
0 0 1
0 0 2
1 1 0
0 2 1
2 1 0
1 0 0
0 1 0
2 0 2
2 2 2
10 6
0 0 2
2 1 1
2 3 1
2 2 1
1 1 2
1 0 0
3 3 1
3 1 0
3 0 0
3 2 1
10 2
2 2 1
2 0 2
1 2 2
1 1 0
1 1 2
0 0 0
2 0 0
0 0 1
2 2 2
1 2 0
10 9
2 2 1
0 1 0
0 0 3
1 1 0
3 3 1
3 1 2
2 1 2
2 3 0
2 0 0
3 3 2
10 9
2 2 3
2 1 1
2 3 0
1 1 3
0 1 0
0 3 3
3 0 1
3 1 3
0 2 1
3 2 2
10 4
2 3 2
0 2 1
3 1 0
0 3 1
0 3 3
0 0 2
2 3 3
2 1 3
1 0 0
3 2 2
10 4
0 0 0
2 2 0
1 1 2
2 1 0
1 0 2
0 0 2
2 0 2
1 2 1
0 2 0
2 2 1
10 2
2 0 1
2 1 2
3 3 2
1 1 1
0 2 1
0 2 3
2 3 2
3 2 1
3 2 2
0 0 2
10 7
3 0 2
2 2 0
1 3 3
3 1 1
3 1 2
2 3 3
1 1 1
3 0 3
2 0 2
1 1 3
10 5
0 1 2
1 0 1
2 0 0
2 1 0
2 0 2
0 2 1
1 2 2
1 2 0
0 2 2
2 2 0
10 2
3 3 2
3 1 2
2 1 0
2 3 3
1 0 2
1 0 1
3 0 2
1 2 3
3 1 1
1 2 1
10 2
1 2 2
2 1 1
0 1 2
1 1 2
1 2 0
1 1 1
2 2 0
0 2 1
2 2 2
2 1 2
10 6
0 0 0
0 0 2
3 3 3
1 2 2
3 0 0
1 0 2
2 2 0
1 1 3
3 1 2
2 0 3
10 8
2 3 0
2 2 3
2 2 0
3 2 3
2 3 1
0 3 2
1 3 1
1 2 1
0 3 1
1 0 3
10 4
1 0 0
2 2 2
0 2 0
2 0 1
0 0 2
2 1 1
0 1 0
2 2 1
2 2 0
0 2 2
10 6
0 1 1
0 0 1
2 0 0
1 1 2
1 0 0
2 1 2
1 1 0
0 2 2
2 1 1
2 2 1
10 4
2 3 2
3 3 1
0 2 0
3 0 3
1 3 3
0 1 2
3 0 2
3 2 3
1 2 1
3 0 1
10 7
1 2 1
0 2 1
1 1 2
0 2 2
1 2 2
2 1 1
2 0 1
0 2 0
2 0 0
2 0 2
10 2
3 0 2
3 2 0
0 1 1
3 0 1
3 0 3
3 1 0
3 2 3
2 2 0
0 0 0
3 2 1
10 9
2 0 2
0 2 1
0 1 0
2 2 0
0 2 0
0 1 1
2 1 0
1 1 1
2 0 1
2 0 0
10 3
1 2 0
0 2 1
0 0 2
1 2 1
1 0 2
0 2 2
0 1 2
1 0 1
2 0 2
2 0 0
10 8
0 0 0
1 3 2
2 0 2
0 1 1
0 0 2
1 1 0
3 3 0
1 0 2
0 3 0
2 0 3
10 7
1 2 0
0 0 0
0 0 2
2 1 1
2 0 1
1 1 0
2 1 0
2 1 2
1 2 1
1 1 1
10 4
0 1 0
1 2 1
2 0 0
1 1 2
0 2 0
2 0 2
0 0 1
1 0 1
0 1 2
2 1 0
10 9
0 1 0
2 1 1
1 1 2
0 2 0
0 1 1
2 1 0
0 0 0
1 1 1
1 0 0
1 0 2
10 9
2 2 2
0 1 0
3 3 0
1 3 1
2 0 0
3 2 1
1 1 0
3 1 0
1 1 3
1 0 2
10 9
0 3 2
3 1 3
3 0 0
3 2 1
1 3 1
0 0 3
3 0 3
0 0 2
1 1 1
1 1 2
10 2
1 1 1
1 2 0
2 0 0
1 0 2
1 2 2
2 2 0
2 1 1
1 1 0
0 2 1
2 0 2
10 8
2 2 2
2 0 1
2 2 1
1 0 1
0 1 0
2 1 2
1 2 1
0 0 2
2 1 0
2 0 2
10 9
2 2 1
1 1 2
2 0 2
2 2 2
2 1 2
1 0 2
2 1 0
0 0 0
0 2 0
1 1 1
10 6
2 3 0
3 2 3
3 3 2
0 3 3
1 2 2
3 1 1
3 0 1
1 3 0
3 3 3
1 1 2
10 7
0 2 2
2 0 2
1 1 2
1 2 1
1 2 2
1 0 2
0 0 2
1 1 1
1 2 0
2 1 1
10 5
1 1 0
0 1 0
1 2 0
2 0 0
2 1 2
1 2 2
2 0 1
2 2 1
1 0 2
0 1 2
10 6
1 2 1
1 2 2
1 0 2
2 2 0
0 1 0
1 0 1
2 1 0
2 2 1
1 1 2
1 0 0
10 5
2 1 0
3 0 1
2 2 0
0 2 1
0 0 3
1 2 3
2 0 2
3 2 2
1 3 0
0 3 2
10 3
1 0 1
1 0 0
0 2 0
0 2 1
0 0 0
2 1 2
1 1 1
2 0 2
2 0 0
0 1 1
10 8
0 2 0
1 0 2
0 1 0
1 0 1
1 2 0
0 1 1
1 1 2
0 2 2
1 0 0
0 1 2
10 9
3 2 1
0 1 0
1 2 1
0 0 0
3 1 0
1 2 2
0 2 2
2 3 3
1 0 0
2 3 0
10 4
2 1 3
3 2 1
3 1 1
1 3 3
1 2 0
1 0 3
1 1 0
0 2 1
2 1 0
3 3 0
10 6
0 0 0
0 0 2
1 0 0
1 2 2
1 2 0
0 1 0
0 2 2
1 0 2
0 1 1
0 2 0
10 3
1 2 0
1 0 1
0 0 0
0 1 0
2 2 1
1 0 2
0 2 0
0 1 2
1 1 2
0 2 1
10 3
2 1 1
0 0 1
1 0 2
0 1 1
0 2 2
1 0 0
2 0 2
1 2 0
2 2 1
1 2 2
10 9
1 3 0
1 1 1
0 1 3
2 3 1
3 3 1
0 3 0
3 1 3
2 1 3
3 3 3
1 0 1
10 3
1 2 2
2 2 3
0 2 2
3 1 1
1 2 1
1 1 3
3 1 0
2 0 1
0 2 3
1 1 1
10 5
2 2 2
2 0 2
3 0 3
3 2 0
0 2 1
2 1 3
1 2 1
0 1 3
1 0 0
2 3 2
10 4
2 1 1
0 2 0
0 2 2
1 0 2
1 1 2
2 0 2
2 2 2
2 0 0
1 2 1
0 0 0
10 5
1 1 2
1 3 2
3 1 3
1 2 2
0 2 2
0 2 1
3 2 1
1 3 0
0 3 1
1 3 3
10 3
0 2 0
2 0 0
2 0 1
1 1 2
0 1 0
2 2 2
1 1 0
1 2 2
1 0 1
2 2 1
10 5
0 0 2
2 1 2
0 0 0
1 1 1
2 0 2
2 2 2
0 1 0
2 2 0
1 2 1
0 2 0
10 2
2 2 1
0 1 0
2 0 2
2 1 2
0 0 2
0 2 1
1 2 2
1 2 1
1 1 2
1 0 2
10 9
1 2 3
0 0 1
3 2 1
0 0 0
1 1 1
1 0 2
1 3 3
0 1 2
3 3 0
3 1 0
10 4
0 2 2
1 0 2
2 1 2
0 0 2
0 0 1
1 1 0
0 2 1
0 1 1
0 0 0
0 1 2
10 3
3 2 1
2 3 1
1 0 0
0 1 3
1 2 3
1 2 0
3 2 0
0 0 2
3 3 1
0 0 3
10 4
1 2 2
0 1 0
0 2 2
2 2 0
2 0 0
1 1 2
1 0 2
0 2 1
1 1 0
0 0 1
10 7
2 2 1
1 3 1
3 3 0
0 0 1
0 2 2
2 1 3
1 1 2
3 0 0
1 2 0
0 2 3
10 9
1 2 0
0 0 0
1 1 1
2 0 0
2 0 1
2 2 0
1 0 1
1 0 2
0 1 2
1 2 2
10 2
3 3 1
2 3 1
3 3 2
1 1 3
2 1 2
2 0 1
0 1 0
2 1 3
0 3 2
1 3 3
10 2
2 2 0
0 1 1
0 0 2
0 1 2
0 2 2
2 0 1
0 2 1
1 0 0
2 0 2
1 2 2
10 7
0 0 0
1 1 0
0 1 1
1 1 2
2 2 2
0 0 2
1 0 2
2 2 0
2 0 1
2 1 1
10 7
1 1 1
1 2 2
1 0 0
1 0 2
0 2 0
2 0 2
0 1 2
0 2 2
2 0 1
1 2 0
10 4
3 0 2
2 2 3
2 1 2
3 2 1
2 1 0
1 3 0
0 2 2
2 0 3
1 0 2
1 0 0
10 4
0 2 3
0 0 3
1 3 1
3 1 2
1 0 2
1 1 3
0 2 1
2 3 2
2 1 3
1 2 1
10 3
2 1 3
0 0 1
0 3 3
0 3 2
3 1 0
2 1 0
3 3 1
3 2 1
3 3 3
2 1 1
10 9
1 0 2
2 1 0
0 0 1
1 0 1
1 2 2
0 1 0
2 2 1
1 2 1
2 1 1
0 0 0
10 9
0 2 2
0 0 0
2 2 2
2 0 2
0 0 2
1 0 0
2 0 1
1 2 0
0 1 1
1 1 0
10 5
2 0 2
0 2 0
0 1 0
2 0 1
2 2 1
2 0 0
2 2 2
1 2 1
2 1 1
2 1 2
10 3
0 3 3
1 0 0
1 2 2
2 3 2
0 2 2
2 1 0
3 2 3
0 1 1
2 0 2
3 0 0
10 3
2 1 0
1 1 2
2 1 2
2 0 1
2 2 1
1 2 2
2 1 1
2 2 0
1 0 1
2 0 0
10 4
2 1 1
1 2 2
0 1 2
2 0 1
1 2 0
2 2 1
2 0 0
2 2 2
0 1 0
0 1 1
10 2
0 2 2
0 0 2
2 1 1
1 2 1
2 1 2
0 0 1
1 2 2
0 1 2
2 0 2
1 1 1
10 6
3 3 0
2 3 1
1 3 2
2 3 3
3 0 2
1 0 1
0 0 2
0 2 1
1 1 2
1 2 1
10 5
3 1 0
0 3 1
1 1 3
2 3 3
2 2 3
1 2 2
0 1 1
3 1 3
2 2 1
0 3 2
10 5
1 3 1
2 0 3
2 2 2
3 1 3
3 2 1
3 1 1
2 0 0
3 3 0
3 0 0
1 1 2
10 2
0 1 0
3 1 2
3 3 1
3 3 0
3 1 0
1 0 2
1 3 3
1 1 3
2 0 0
2 2 1
10 2
2 0 2
0 0 2
0 1 0
2 0 1
2 1 1
2 2 2
1 1 1
1 2 0
0 2 0
2 1 2
10 3
2 0 3
3 2 1
0 2 0
3 3 0
0 3 2
1 2 1
0 3 0
1 0 2
3 2 2
2 2 3
10 5
1 1 2
0 0 2
1 0 0
0 1 0
0 0 0
2 2 2
1 2 1
0 2 2
1 2 2
1 0 1
10 9
2 2 3
0 1 1
3 1 0
0 1 0
3 0 2
1 3 0
3 1 3
3 2 0
0 1 2
1 3 2
10 8
0 0 1
3 2 2
2 2 2
3 2 3
2 3 2
1 0 2
2 0 0
3 3 1
1 1 0
2 3 3
10 4
2 0 2
0 1 0
0 0 1
0 0 0
1 2 1
1 2 0
0 2 2
1 0 2
2 1 2
0 1 2
10 7
2 0 2
1 0 2
1 1 1
0 0 0
2 2 0
1 1 2
0 2 0
1 0 1
0 1 0
0 1 2
10 5
3 0 0
1 1 3
0 1 2
3 0 3
2 0 1
3 0 2
3 3 3
2 3 3
3 1 2
2 2 0
10 6
0 2 1
0 1 2
1 2 2
2 2 0
1 1 3
1 2 1
0 0 1
1 0 3
3 1 0
1 0 0
10 5
0 0 1
2 2 1
0 2 2
3 1 2
3 3 0
1 2 0
0 0 2
2 2 3
1 0 1
2 1 2
10 8
1 0 0
0 1 1
1 1 2
0 2 2
1 2 1
2 1 2
2 0 2
2 0 0
2 2 1
1 0 1
10 3
0 0 1
3 3 3
2 3 1
0 3 1
0 3 2
1 1 1
1 1 0
3 1 1
0 0 3
1 0 2
10 2
1 2 2
1 2 0
0 1 0
0 0 2
1 0 1
1 1 0
2 0 0
0 1 2
2 0 1
1 0 0
10 2
3 2 1
2 2 1
1 2 2
3 1 1
2 3 1
2 0 3
1 2 0
0 1 2
2 1 2
2 0 0
10 2
1 0 2
0 1 2
0 1 1
0 3 0
0 0 3
0 1 0
1 0 1
3 3 3
1 3 2
0 0 0
10 3
0 2 0
1 0 2
0 0 1
2 1 0
1 1 0
0 2 1
1 1 1
1 2 2
2 2 1
1 1 2
10 4
0 2 1
1 0 1
2 2 0
2 1 0
2 0 0
2 2 1
2 1 2
0 1 0
0 0 1
0 0 2
10 7
3 2 0
2 1 2
0 1 0
2 2 1
0 1 2
3 0 1
3 1 3
1 0 0
3 0 2
1 0 1
10 6
3 3 1
1 3 1
2 1 0
2 0 3
0 0 3
1 0 2
0 0 1
0 1 2
2 1 3
2 2 2
10 5
2 1 1
3 2 2
0 2 3
3 3 1
3 2 1
1 3 0
0 2 0
3 0 1
2 3 3
0 1 0
10 8
2 3 0
1 2 1
1 3 2
0 1 2
2 1 1
3 2 0
3 3 1
0 1 1
2 1 3
1 3 3
10 6
2 3 1
1 0 1
0 0 0
2 2 2
1 3 0
0 3 0
0 1 1
0 2 3
2 0 3
2 0 2
10 2
1 3 0
2 0 1
2 3 1
1 0 1
1 3 1
0 3 0
1 2 3
1 0 0
3 2 0
2 2 1
10 9
1 1 2
1 0 2
0 1 1
0 0 1
0 2 0
2 0 0
2 2 1
1 0 1
0 1 2
2 2 0
10 4
0 1 3
2 1 2
2 2 3
1 1 1
0 1 1
3 1 3
3 1 2
3 2 3
2 0 2
1 3 3
10 2
3 0 1
3 3 3
2 0 1
1 1 3
2 3 3
0 0 3
0 1 3
3 0 3
0 1 1
1 1 2
10 2
2 0 2
1 1 3
3 1 2
0 2 2
1 2 2
0 0 2
1 2 3
3 3 3
2 3 3
2 2 0
10 5
2 1 2
2 1 0
2 2 2
0 1 2
1 2 0
1 1 1
0 2 0
1 1 0
1 2 1
2 0 0
10 3
1 2 2
2 1 1
0 1 1
0 1 2
1 2 0
1 1 2
2 2 1
2 0 0
2 2 2
2 0 2
10 5
0 2 0
2 2 1
2 0 2
0 0 1
0 0 0
1 1 0
0 2 1
2 2 0
2 1 2
2 1 1
10 6
0 0 0
3 0 1
0 1 0
1 0 0
2 2 1
0 1 1
2 2 0
2 2 2
0 3 3
3 3 1
10 7
1 1 0
0 0 2
0 2 1
3 3 2
1 0 2
1 0 1
0 2 2
0 0 1
3 3 3
3 2 2
10 5
0 0 1
1 1 2
2 1 2
2 1 0
2 2 2
1 0 2
1 3 2
2 0 3
0 2 2
1 2 2
10 7
2 2 0
0 1 2
2 1 2
2 1 1
2 0 0
1 0 1
0 1 0
1 0 2
0 2 0
1 2 2
10 5
0 1 0
3 2 3
2 1 2
0 2 0
2 0 2
3 2 0
1 3 1
2 3 0
1 2 3
0 0 1
10 2
0 3 2
1 2 0
3 2 1
3 2 3
0 3 0
1 1 3
3 0 1
3 1 2
1 0 2
2 2 1
10 7
2 1 1
1 2 0
0 1 1
2 0 1
0 2 1
1 1 1
2 2 1
0 0 1
1 2 2
1 1 0
10 2
1 2 2
2 2 1
1 0 2
2 0 2
0 0 2
0 1 0
0 2 1
1 2 0
2 2 2
2 0 1
10 3
1 2 1
1 1 3
1 1 0
3 3 2
3 1 3
1 3 3
1 0 1
3 1 1
3 3 1
1 1 1
10 5
1 2 2
2 0 1
2 2 1
1 0 0
2 1 0
0 2 0
1 1 2
1 1 0
0 1 1
1 1 1
10 3
1 2 1
2 2 2
2 0 1
2 1 1
0 0 0
1 2 2
1 0 2
1 1 1
0 2 1
2 2 1
10 9
3 3 0
3 1 1
3 2 0
1 3 1
2 2 1
3 3 2
2 3 3
1 3 3
2 3 1
1 3 2
10 5
1 0 3
1 0 1
2 2 0
3 1 2
0 2 2
2 0 1
1 2 0
2 2 3
1 0 2
1 1 0
10 8
2 0 2
0 2 1
0 0 2
0 1 0
2 0 0
2 0 1
1 2 2
2 1 2
1 2 1
2 1 1
10 5
3 0 0
0 2 3
0 2 0
3 0 1
0 0 0
1 3 1
1 2 0
2 0 0
1 0 3
0 3 2
10 3
0 1 1
0 0 2
2 0 0
1 2 0
0 0 1
1 0 1
0 2 1
2 2 2
2 1 2
0 1 2
10 9
2 2 2
2 1 2
2 0 2
2 0 1
0 0 1
0 1 0
2 1 0
1 0 0
1 2 0
1 1 2
10 2
0 0 2
2 2 2
2 0 2
1 1 2
2 0 1
0 1 2
2 2 1
0 2 2
0 2 1
1 0 2
10 2
1 2 0
0 2 1
0 2 0
2 1 2
3 3 1
1 3 2
3 2 3
3 3 0
0 1 0
1 3 1
10 9
2 2 1
2 0 2
0 2 0
2 1 1
0 0 1
1 2 2
1 0 1
1 0 2
0 2 1
1 1 0
10 2
3 0 1
1 3 0
0 3 1
0 3 0
2 0 0
1 3 2
3 0 0
0 0 3
3 0 2
2 0 1
10 7
3 2 3
2 3 1
1 0 3
3 0 0
0 1 3
2 1 1
0 1 2
2 0 0
3 3 1
1 0 1
10 9
0 2 0
1 2 0
0 0 2
2 1 1
2 2 1
0 1 2
2 2 0
0 1 0
1 0 2
2 2 2
10 7
1 2 0
0 0 1
1 1 3
3 1 1
0 3 0
0 2 1
2 2 0
1 3 1
3 1 0
3 2 0
10 3
2 2 1
0 0 1
0 1 0
0 1 2
2 0 1
0 2 1
2 0 2
0 0 0
1 0 1
0 0 2
10 3
0 0 1
2 2 0
0 2 2
1 2 1
2 1 0
1 0 0
0 0 0
2 2 2
0 1 1
2 0 1
10 2
2 1 1
1 2 0
0 1 1
2 2 3
1 3 1
0 1 2
1 0 3
3 0 3
3 2 1
1 3 3
10 7
2 0 2
3 2 2
2 2 0
3 2 1
2 0 0
3 3 1
2 3 1
0 3 3
1 3 0
1 3 2
10 8
0 1 1
0 0 0
2 1 2
1 1 1
0 1 0
2 1 1
2 0 0
0 2 2
2 2 0
1 0 2
10 7
3 0 1
0 2 0
2 1 0
1 1 3
1 3 3
1 1 2
2 0 1
0 1 0
1 1 1
1 0 3
10 8
3 2 0
0 2 0
0 0 3
0 0 1
0 3 1
1 3 2
2 3 2
1 1 3
0 1 1
2 1 2
10 6
1 2 2
1 2 1
2 1 2
1 0 1
0 0 1
2 1 1
0 2 2
2 0 1
0 0 0
1 2 0
10 4
2 0 2
2 1 2
2 1 0
0 2 2
1 1 2
0 0 2
0 0 1
2 2 2
1 2 2
0 1 0
10 3
0 0 1
0 0 0
0 1 2
0 1 1
1 0 2
2 0 2
2 0 0
0 2 2
2 0 1
1 2 2
10 4
2 2 0
0 2 0
1 2 2
2 1 1
0 1 2
0 2 1
2 0 1
2 1 2
2 2 1
1 2 0
10 7
0 2 2
1 3 1
1 2 0
2 0 3
0 1 3
3 3 3
1 0 1
1 2 2
0 2 0
3 3 1
10 9
0 2 3
1 3 1
3 3 1
1 0 1
3 2 1
3 1 1
1 1 0
1 1 2
1 0 2
2 1 2
10 8
0 0 2
0 1 0
1 3 3
0 2 3
1 2 1
1 0 1
0 3 2
2 2 1
3 3 0
2 0 2
10 7
1 0 2
2 1 0
0 0 2
0 1 1
1 0 1
2 1 2
2 2 1
1 1 1
0 2 0
0 0 0
10 3
1 0 1
0 2 2
1 1 0
1 2 0
2 2 2
2 1 2
2 1 1
1 0 0
2 2 1
0 2 1
10 8
3 1 2
0 1 2
2 1 1
0 0 2
0 0 1
3 1 3
2 0 0
1 1 3
1 0 1
0 3 2
10 5
1 0 1
0 0 2
2 0 1
2 2 0
2 2 1
0 1 2
2 0 0
2 1 0
0 2 1
1 2 0
10 7
0 1 1
2 1 1
2 0 0
1 0 0
2 2 1
2 2 0
1 2 1
1 2 0
1 1 1
1 0 1
10 6
1 2 0
2 0 2
0 2 2
1 0 2
2 2 1
2 1 1
0 0 1
2 0 1
1 2 1
0 0 2
10 5
2 0 1
0 0 0
1 2 1
0 2 0
1 0 0
2 1 1
1 1 2
0 0 1
2 2 0
0 1 0
10 6
2 0 1
0 0 2
1 2 0
2 1 1
0 2 1
2 2 1
2 1 2
1 0 2
1 2 1
1 0 0
10 5
3 0 1
2 2 0
1 0 0
0 1 3
0 0 2
1 1 2
3 2 2
3 1 3
2 1 0
3 0 2
10 7
0 0 2
0 1 2
2 0 2
0 0 1
2 0 1
1 1 1
0 2 2
2 1 1
2 2 0
1 0 2
10 9
3 1 0
0 3 0
1 3 2
0 1 2
1 1 1
1 2 3
1 3 3
1 2 2
2 3 1
2 1 3
10 3
2 2 3
3 3 1
0 2 1
1 3 3
3 1 0
2 3 2
0 2 2
3 2 0
0 1 2
0 1 3
10 6
0 1 1
2 2 0
1 1 1
2 1 0
0 2 0
1 0 2
0 1 0
0 1 2
2 1 1
2 2 2
10 6
2 1 1
1 1 0
0 1 1
2 1 2
2 2 0
2 0 1
0 2 0
2 2 1
0 0 1
1 2 0
10 4
1 2 0
2 0 3
0 2 2
1 0 3
0 0 1
2 0 0
3 3 0
1 2 3
1 3 1
0 3 2
10 3
1 0 3
2 2 0
0 0 2
2 1 1
0 1 3
0 0 0
0 1 2
2 1 3
0 2 2
3 0 1
10 3
2 0 1
0 0 2
2 1 2
0 1 1
2 2 0
0 0 0
1 0 0
2 0 0
1 1 0
1 0 2
10 5
0 2 0
1 0 1
1 2 0
1 2 1
2 0 0
2 1 2
0 0 1
1 0 2
1 1 2
1 2 2
10 6
0 1 0
0 2 0
1 2 1
1 1 2
2 2 0
0 0 2
1 0 0
2 2 1
1 2 2
2 0 2
10 2
0 2 0
3 2 0
0 1 2
1 3 3
2 1 1
1 2 2
0 2 2
3 2 2
1 0 2
1 1 1
10 7
0 1 0
1 2 2
2 3 3
0 3 3
1 2 0
2 1 0
3 0 3
0 3 2
2 0 3
2 2 3
10 2
2 0 0
2 2 1
0 2 1
2 0 2
0 0 1
0 0 0
2 0 1
0 1 2
1 2 1
0 1 1
10 7
1 0 2
1 0 0
3 2 1
0 2 0
3 2 2
3 2 3
0 3 1
3 1 3
0 0 3
0 2 1
10 6
1 0 3
2 2 0
3 2 1
1 2 3
3 2 3
3 3 0
0 3 2
1 3 0
0 0 1
1 1 3
10 2
1 0 0
0 1 0
0 1 2
1 1 2
2 2 2
2 0 0
1 1 0
1 1 1
2 1 2
2 1 0
10 7
3 0 2
0 1 2
0 3 1
0 0 2
2 2 2
0 3 2
1 0 3
1 1 1
3 0 1
2 2 3
10 6
0 1 1
2 0 0
0 2 2
0 0 2
1 0 1
1 0 2
2 1 2
0 1 2
1 2 1
0 2 0
10 5
2 1 0
0 1 0
1 2 1
1 2 2
2 1 1
2 1 2
2 2 1
1 0 2
1 0 0
2 2 2
10 9
2 2 1
0 1 0
0 0 0
2 2 0
2 0 1
1 2 1
2 1 1
1 1 0
0 0 2
0 2 2
10 7
2 0 3
2 1 1
0 0 2
0 3 1
2 1 0
1 2 2
1 3 1
1 0 1
0 2 1
0 1 1
10 7
1 2 0
2 0 0
1 3 0
0 2 0
1 2 3
2 3 3
3 0 0
3 1 0
1 1 0
1 0 3
10 4
2 0 1
3 3 1
1 0 3
0 3 3
3 1 0
0 3 1
1 3 0
2 1 3
2 3 1
0 0 0
10 3
1 0 0
0 2 1
0 3 0
2 1 1
3 2 0
0 1 3
3 3 3
1 3 0
3 1 1
3 2 2
10 7
2 0 0
1 0 2
2 2 0
2 2 2
1 0 1
1 0 0
1 2 0
2 0 1
0 2 0
2 0 2
10 7
1 0 2
3 2 3
2 0 2
1 1 0
0 2 0
3 2 0
3 0 0
0 3 2
0 0 0
1 2 1
10 6
1 0 0
3 1 1
2 1 2
2 2 1
0 1 0
1 1 0
3 3 3
1 3 0
2 0 0
2 2 2
10 2
2 2 2
2 2 0
2 1 1
2 0 0
2 0 1
1 0 0
0 0 1
0 2 0
1 1 1
1 2 1
10 4
1 1 2
1 0 1
2 0 2
1 2 2
0 0 1
2 0 0
0 2 2
2 1 0
2 2 2
1 0 0
10 7
0 0 0
2 2 1
2 3 2
1 3 2
0 1 0
2 0 2
2 1 1
0 0 1
0 3 1
1 3 1
10 3
2 1 0
3 1 0
2 2 3
3 2 2
0 0 1
2 1 3
3 3 3
2 1 1
0 2 1
0 3 0
10 6
1 0 2
2 2 3
3 2 0
1 0 1
3 1 0
1 1 2
2 1 1
2 2 2
0 2 0
0 2 2
10 5
0 0 1
1 0 0
1 2 1
0 1 0
2 1 1
2 2 2
2 0 2
2 2 0
0 2 0
0 1 2
10 3
1 0 1
2 0 3
0 3 1
1 2 2
0 2 1
3 2 0
3 3 3
2 2 3
2 0 0
1 0 3
10 7
3 2 3
2 3 2
1 0 2
0 3 0
3 1 1
0 2 2
0 1 1
1 2 0
0 2 0
3 1 0
10 4
2 2 2
1 0 2
1 0 1
0 1 2
0 2 0
2 1 0
1 1 2
2 2 1
2 0 0
0 1 0
10 9
0 1 2
2 1 1
2 2 0
2 2 2
0 0 0
1 2 2
1 1 1
1 2 1
0 1 1
2 1 2
10 4
0 1 1
1 1 0
2 0 2
2 0 0
0 0 0
0 1 2
1 2 0
2 2 0
0 0 2
1 0 0
10 6
1 0 1
0 1 1
0 1 0
2 2 2
2 1 1
1 1 2
2 1 0
0 2 0
1 2 0
1 0 0
10 9
3 3 2
1 2 2
2 3 3
0 1 0
2 3 0
1 1 0
0 3 1
1 0 0
3 1 0
0 1 1
10 6
3 2 3
1 0 2
1 3 0
2 1 2
2 3 1
3 2 0
1 2 2
3 3 3
3 2 1
1 1 3
10 4
2 1 1
0 3 2
2 0 2
1 3 1
3 1 3
1 2 0
1 1 1
2 0 0
3 3 1
1 3 0
10 6
3 1 3
0 2 1
2 1 0
2 2 1
0 1 1
3 0 1
1 3 2
3 1 0
0 0 3
2 0 0
10 6
2 1 0
1 3 2
3 3 0
2 1 1
1 1 3
0 3 0
3 3 2
1 1 2
2 3 1
3 2 0
10 7
0 1 0
2 2 0
2 0 1
0 2 1
1 0 0
2 0 0
0 0 0
1 2 1
2 0 2
0 0 1
10 2
0 0 1
2 2 0
1 1 2
3 0 3
3 0 2
0 2 0
0 1 0
0 1 2
3 1 3
1 3 0
10 9
0 0 3
2 3 1
3 2 2
2 1 2
1 1 1
2 0 2
1 2 2
0 3 1
2 3 2
2 0 3
10 4
1 2 2
2 3 2
3 0 0
1 1 0
2 2 1
0 2 2
0 3 2
1 2 3
2 0 1
3 1 2
10 5
0 2 1
3 0 0
2 1 1
0 1 0
2 1 2
1 1 1
2 3 3
3 0 1
3 1 3
0 2 3
10 5
1 1 1
0 0 1
1 2 0
0 1 0
0 0 0
1 1 0
1 0 0
1 2 1
1 0 2
1 2 2
10 8
0 1 2
0 0 2
0 2 2
0 0 1
2 2 0
0 1 0
1 1 1
0 2 0
1 2 0
0 1 1
10 3
2 0 0
1 2 1
0 1 1
0 0 2
2 2 0
2 0 2
1 2 0
0 2 1
2 0 1
0 0 0
10 4
0 0 2
1 2 0
1 0 2
2 1 1
2 1 0
2 2 1
1 1 1
2 0 2
0 2 1
0 2 0
10 6
0 1 2
1 2 1
1 1 1
2 1 1
2 0 2
1 1 0
1 0 1
2 2 2
0 1 1
0 0 2
10 4
1 2 0
1 2 1
0 1 0
2 1 1
2 0 0
0 1 2
1 0 1
0 2 0
1 1 2
1 2 2
10 7
2 1 0
0 1 1
0 1 0
0 2 0
2 0 0
1 2 0
1 1 2
1 0 2
0 2 2
0 0 1
10 7
1 2 0
3 0 0
2 3 0
1 0 2
2 1 1
0 0 1
1 2 1
3 3 1
3 3 3
1 1 2
10 3
1 1 0
2 0 1
1 2 0
0 2 2
0 0 1
0 2 1
1 2 2
2 2 0
2 1 2
0 1 0
10 2
1 2 0
1 3 2
1 3 3
2 1 3
0 1 1
3 3 3
2 0 1
0 3 2
0 2 1
2 3 0
10 6
1 1 2
2 3 0
0 3 3
3 3 3
2 0 3
1 1 1
0 1 2
1 2 1
1 3 1
0 1 3
10 6
2 0 0
0 0 2
0 2 1
0 0 1
1 2 1
0 0 0
2 1 2
1 2 2
0 1 2
1 0 0
10 3
1 3 1
0 3 2
3 0 2
2 3 2
0 2 2
0 3 0
2 2 0
2 1 2
2 0 2
1 2 0
10 9
1 2 0
2 0 2
2 2 2
1 1 1
2 1 1
0 2 2
0 2 1
0 2 0
0 0 2
2 0 1
10 3
1 0 2
3 1 3
1 2 0
3 1 2
3 3 0
0 0 1
1 0 0
2 3 1
1 3 1
2 2 3
10 3
2 2 0
2 1 2
0 0 1
2 0 0
2 0 3
0 1 2
2 1 1
2 0 1
3 3 0
1 1 2
10 2
1 1 2
2 1 2
1 0 2
2 0 3
0 1 2
3 1 1
0 1 3
0 1 0
3 2 0
2 1 0
10 6
2 0 2
0 2 2
1 2 2
0 1 1
0 1 2
0 2 0
2 0 0
1 2 0
0 0 0
0 1 0
10 4
0 2 1
0 1 2
0 2 0
2 2 0
0 0 2
2 1 2
1 0 1
2 1 0
0 1 0
1 2 1
10 3
1 3 3
3 0 2
3 3 0
3 0 0
0 3 2
2 1 3
0 2 0
0 3 0
3 1 0
0 1 3
10 6
2 0 1
0 1 0
1 1 2
2 0 0
2 0 2
2 1 1
1 2 0
2 2 1
1 0 2
0 2 2
10 9
2 3 0
0 3 2
2 3 2
1 0 2
0 0 3
0 1 0
3 1 3
0 1 2
3 0 3
0 0 2
10 3
1 0 1
0 1 2
0 1 1
0 0 1
2 1 2
2 0 0
2 2 0
1 0 2
1 1 1
2 2 1
10 4
2 0 2
0 2 0
3 0 3
3 1 0
0 2 3
2 2 3
3 0 1
3 3 3
3 3 2
3 0 0
10 8
0 3 0
0 3 2
2 3 3
2 2 0
0 2 3
1 2 3
3 0 2
3 3 0
1 2 0
2 2 1
10 6
2 1 0
2 0 2
2 1 2
2 2 2
1 2 2
1 0 2
1 0 0
1 1 1
2 2 0
2 1 1
10 7
0 1 1
0 2 2
0 2 0
0 0 2
0 0 3
1 2 1
0 0 1
2 3 1
2 2 3
1 3 0
10 5
3 2 1
2 2 3
3 2 3
0 1 1
0 0 3
1 2 2
2 0 0
1 0 3
1 0 1
0 1 2
10 9
0 0 1
0 1 1
0 2 0
1 0 2
2 0 2
2 2 0
0 1 0
0 0 0
1 2 0
0 1 2
10 7
2 1 2
1 1 0
2 0 2
2 2 1
1 2 2
1 0 2
2 2 2
0 0 0
0 2 1
2 0 0
10 6
2 0 3
2 2 3
3 2 1
1 3 3
2 3 3
1 0 3
0 1 3
1 3 0
3 2 3
0 1 1
10 4
3 1 0
3 0 0
3 2 2
2 3 3
0 3 1
0 3 2
0 2 3
2 1 2
2 2 0
0 1 3
10 7
0 1 1
2 1 0
0 0 0
2 0 0
0 2 1
1 2 0
2 2 2
1 0 1
2 0 1
1 0 2
10 5
3 0 2
2 3 1
1 1 3
1 2 2
1 2 1
1 3 3
0 1 3
3 1 3
0 2 1
1 2 3
10 5
0 2 0
2 0 1
0 0 2
2 2 0
1 2 2
1 2 1
1 1 2
2 2 1
2 0 0
1 1 0
10 4
0 2 1
1 2 1
1 2 2
2 2 0
0 2 2
2 0 0
0 0 2
1 0 0
1 1 0
0 1 0
10 6
0 2 0
1 1 2
2 2 0
2 2 2
1 2 0
2 1 2
1 2 2
0 1 1
0 1 0
0 2 2
10 8
2 0 0
2 2 1
1 1 2
0 2 0
1 1 1
1 2 1
0 0 2
1 2 2
0 0 1
2 2 0
10 3
1 1 1
0 1 0
1 2 1
0 0 0
0 0 1
2 0 2
0 2 0
0 0 2
1 1 0
0 1 1
10 5
2 2 0
1 2 1
1 0 0
0 1 0
0 0 2
0 2 2
2 0 1
1 0 1
1 1 1
2 0 2
10 3
1 0 0
2 1 0
1 1 0
2 0 1
2 2 0
1 0 1
1 0 2
2 1 1
2 0 0
0 1 0
10 9
0 0 2
3 0 1
2 3 3
2 0 0
3 3 2
3 3 0
1 0 1
0 0 3
1 2 3
0 2 2
10 5
0 2 1
2 2 2
0 0 0
1 2 2
0 1 0
1 0 0
2 2 0
2 1 2
2 1 1
1 2 1
10 7
1 0 1
0 0 2
1 1 0
1 0 2
0 1 2
2 2 1
1 2 0
0 1 1
2 1 0
0 2 0
10 5
0 0 3
3 3 2
2 1 3
0 2 0
0 0 0
3 3 0
1 2 2
1 0 1
1 2 1
3 0 2
10 5
1 1 1
3 3 1
3 3 3
2 3 3
1 2 2
1 2 0
3 2 0
0 2 2
2 1 0
3 3 0
10 9
3 1 3
3 1 2
2 0 0
0 3 0
1 0 1
2 2 2
3 2 3
3 0 1
1 1 3
0 2 1
10 7
3 1 3
1 1 2
3 2 1
2 3 2
3 1 0
0 1 3
3 3 2
3 0 2
2 3 3
2 1 0
10 8
0 0 2
1 2 1
1 1 2
0 2 0
1 1 1
1 0 1
0 1 2
2 0 2
1 0 2
2 1 1
10 5
2 0 2
1 2 1
1 2 0
1 0 1
2 0 1
0 1 2
1 0 0
1 1 1
2 2 1
0 2 1
10 9
1 1 2
3 1 0
0 2 3
3 0 0
1 0 3
0 3 2
3 3 0
2 3 2
2 1 1
1 3 0
10 5
3 1 0
2 2 1
3 1 2
3 2 3
0 3 3
2 3 3
1 2 1
0 2 0
2 3 2
0 3 2
10 7
0 1 2
1 0 3
3 0 0
1 2 2
1 0 1
0 2 2
2 1 0
2 0 0
1 0 0
1 3 1
10 2
2 2 2
2 2 1
2 1 1
1 1 2
2 0 2
2 2 0
0 1 2
0 0 2
0 2 0
2 0 1
10 6
1 1 0
0 0 2
0 1 0
1 1 2
2 0 0
0 0 1
2 1 2
1 2 0
1 0 2
0 1 2
10 4
0 1 2
2 1 0
0 2 0
1 1 0
1 1 2
2 1 1
2 0 0
0 2 2
0 1 1
1 0 2
10 7
0 1 0
0 0 0
1 2 1
0 2 1
1 1 2
1 0 1
2 1 0
0 0 2
1 1 0
0 1 2
10 4
0 2 2
1 1 1
2 1 2
1 2 0
2 2 1
0 2 1
2 1 0
1 0 2
1 2 1
0 1 1
10 9
2 3 1
3 2 2
2 2 0
1 0 1
2 1 0
0 0 3
0 0 2
2 0 0
3 2 0
3 1 0
10 5
2 3 1
2 0 0
1 3 0
3 3 0
2 2 2
2 2 1
3 2 1
2 2 0
0 2 0
3 0 2
10 4
2 2 0
2 1 2
2 2 1
1 2 1
0 1 1
1 0 2
1 0 0
2 0 0
2 0 2
1 2 2
10 7
0 1 1
2 1 2
1 1 0
2 2 1
1 2 2
0 1 2
0 0 2
1 2 1
2 0 0
2 2 2
10 3
2 3 3
0 3 0
0 0 1
1 1 0
2 2 1
3 0 0
0 0 2
2 2 2
2 3 0
1 0 3
10 9
0 1 0
0 0 2
1 1 2
0 1 1
2 2 0
0 2 2
2 1 0
1 1 0
0 1 2
1 1 1
10 4
3 2 1
2 3 2
1 2 3
0 1 2
2 0 0
2 1 1
0 2 3
2 2 0
0 1 1
0 0 1
10 9
1 1 2
2 1 1
0 1 1
2 1 2
0 0 0
1 1 1
2 2 0
0 1 2
1 2 2
2 0 0
10 3
0 1 2
1 1 1
1 0 2
2 1 0
0 2 1
2 1 1
2 0 0
1 2 1
1 1 2
0 2 0
10 3
0 2 2
1 3 0
1 0 2
3 2 0
0 3 0
0 2 0
0 2 1
2 3 0
2 0 3
2 3 3
10 8
1 2 1
1 1 0
0 0 0
0 1 2
2 0 1
2 2 1
1 1 2
2 1 2
0 1 1
2 2 0
10 9
1 2 0
2 2 0
1 1 2
0 0 1
2 1 2
2 2 2
2 1 0
1 2 2
2 0 1
1 0 1
10 8
1 1 3
2 2 2
1 2 1
1 0 3
2 3 3
3 2 3
0 3 3
2 3 1
3 3 0
1 2 0
10 2
3 3 1
3 1 0
1 1 2
0 3 0
0 0 3
3 3 3
2 0 3
0 0 0
2 2 1
1 2 3
10 7
1 1 2
3 2 0
2 0 0
1 0 2
3 2 3
3 3 2
3 2 1
1 2 0
0 3 1
3 3 0
10 5
1 0 2
1 2 0
0 0 2
2 2 2
1 2 1
0 2 2
0 1 1
0 2 0
2 2 0
1 0 0
10 8
0 1 1
1 0 1
2 0 1
2 2 0
2 1 2
2 1 1
1 2 0
0 0 0
1 1 1
2 0 0
10 4
0 2 2
2 2 1
1 1 2
2 0 2
1 1 1
0 1 0
2 1 1
1 2 1
0 2 0
0 0 0
10 8
0 2 1
3 1 2
2 1 3
1 3 0
0 0 3
3 0 2
2 2 3
2 0 0
1 2 0
0 0 1
10 8
3 2 2
2 1 1
0 0 3
0 1 2
1 2 1
2 3 2
1 3 2
2 1 0
3 2 1
1 3 3
10 4
3 1 3
2 2 3
2 1 3
3 0 1
2 1 2
0 0 0
2 3 2
3 3 0
3 1 1
2 1 1
10 7
2 2 2
3 0 3
2 3 0
2 1 2
0 2 0
3 1 2
0 3 1
2 3 3
3 2 3
2 0 2
10 4
3 2 3
1 1 1
2 1 2
0 2 0
1 0 1
2 2 2
0 3 3
2 1 1
1 3 3
0 0 1
10 7
3 0 1
3 1 0
1 0 0
2 3 0
1 0 3
0 2 3
3 3 0
2 2 2
0 3 0
1 1 2
10 2
3 2 0
2 3 0
0 0 0
3 2 1
1 1 3
0 2 1
3 0 0
2 3 3
1 1 2
0 0 3
10 6
0 3 1
1 3 0
3 0 3
1 1 0
3 1 2
2 0 3
3 1 1
0 1 2
3 2 1
0 1 3
10 8
0 1 0
0 1 1
1 0 1
1 0 0
1 2 0
2 0 2
1 1 1
2 0 0
0 0 2
1 0 2
10 5
2 0 0
2 1 0
0 0 2
1 2 0
2 1 1
2 2 0
1 0 0
2 2 2
2 1 2
0 2 1
10 3
1 2 1
3 1 2
0 0 2
0 3 1
1 3 0
3 2 2
2 2 0
3 0 3
1 2 3
0 3 3
10 5
2 2 0
0 0 0
1 1 1
2 1 2
2 0 2
0 2 1
1 2 2
0 0 2
2 0 0
0 1 2
10 8
2 1 1
0 0 0
2 1 0
0 2 1
2 2 2
2 0 0
2 2 0
1 0 0
2 2 1
0 1 1
10 4
1 0 0
3 1 1
2 1 0
0 0 3
1 0 2
2 0 1
3 0 1
1 2 2
1 1 3
0 0 2
10 2
2 3 0
2 0 0
1 1 2
1 2 0
0 1 2
2 2 2
2 1 3
0 1 3
3 1 0
0 3 0
10 8
2 2 2
2 2 3
3 2 3
3 3 2
1 1 0
0 1 1
0 0 3
1 3 1
0 2 2
1 1 1
10 8
3 2 0
0 1 3
3 0 1
3 3 3
1 1 1
0 0 2
1 0 0
3 0 2
3 3 1
3 2 1
10 2
1 0 0
2 0 1
3 1 2
3 0 1
1 3 1
3 0 2
2 1 0
0 3 3
3 2 3
0 0 2
10 3
0 3 2
0 2 2
0 0 3
1 3 1
0 3 0
2 0 2
2 2 2
3 1 1
1 2 1
0 3 3
10 6
0 1 1
0 1 2
2 2 2
0 0 0
0 2 0
0 2 2
2 2 0
0 0 1
1 1 0
2 0 2
10 7
3 1 1
0 3 1
2 2 3
2 0 3
3 2 0
3 3 2
0 3 0
0 0 1
2 3 3
2 3 2
10 2
2 0 2
1 2 2
0 0 0
2 1 0
0 2 0
2 0 0
0 1 0
0 0 1
2 0 1
2 2 0
10 3
3 3 1
1 1 1
3 2 0
2 1 2
2 2 1
0 3 2
0 2 0
1 0 0
0 1 2
3 3 3
10 7
2 2 2
3 0 0
0 0 2
3 2 2
0 1 2
0 3 3
1 2 3
0 1 3
1 3 2
2 3 3
10 5
2 0 2
2 3 3
3 2 1
0 2 3
0 0 0
1 0 1
1 2 3
3 0 1
0 3 1
2 0 0
10 2
3 0 1
1 3 1
0 2 3
0 1 3
0 3 0
3 2 0
0 3 3
0 1 0
0 1 1
3 2 3
10 9
1 2 0
2 1 1
2 1 0
1 2 1
2 1 2
2 0 2
0 1 1
2 2 1
1 1 2
0 1 2
10 6
2 0 1
2 2 2
0 0 0
1 0 1
0 0 2
0 1 0
0 0 1
0 1 2
1 1 0
0 2 1
10 2
2 2 2
1 0 1
0 2 2
2 0 2
1 2 1
2 2 1
1 1 0
2 2 0
0 1 0
2 1 2
10 5
2 0 0
2 0 1
2 1 2
0 1 2
2 2 0
0 1 0
0 0 2
0 1 1
0 2 2
1 0 2
10 9
2 1 1
3 0 3
0 2 3
3 2 3
1 0 3
2 2 0
2 0 0
2 3 2
2 2 1
2 3 0
10 6
0 1 0
2 0 2
0 0 0
1 0 1
1 0 2
0 2 2
1 1 0
0 1 1
0 0 1
2 1 1
10 5
2 0 2
2 1 2
2 0 0
2 1 1
2 1 0
2 2 1
0 2 2
0 1 2
0 2 1
1 2 0
10 6
3 0 2
2 0 1
3 3 0
0 1 3
1 2 1
3 2 0
1 3 3
2 1 3
3 2 3
0 2 3
10 3
0 1 2
2 1 1
1 2 0
1 2 2
0 0 0
0 0 1
1 0 1
1 0 2
2 0 0
1 1 2
10 3
2 1 1
0 1 0
0 0 2
2 0 2
2 0 1
0 0 0
2 2 1
1 1 1
1 1 2
2 1 0
10 4
0 2 0
2 1 0
1 0 2
2 2 0
2 1 1
1 2 1
0 0 1
1 1 2
0 2 1
2 0 1
10 3
0 0 1
3 2 2
1 0 1
3 0 2
1 2 3
0 1 3
2 0 2
2 2 0
3 2 3
0 1 2
10 2
3 3 0
1 1 2
2 0 2
0 2 0
1 3 2
1 1 0
2 3 0
3 0 0
0 0 0
2 3 1
10 5
2 2 1
0 1 1
1 0 3
1 1 3
0 2 0
0 1 0
0 2 1
1 2 3
2 3 0
2 2 0
10 2
0 0 1
0 2 0
2 1 0
1 2 1
0 2 2
2 0 2
1 2 2
2 0 0
1 1 2
1 1 1
10 2
2 2 2
0 1 1
2 1 2
1 1 0
2 0 1
2 0 0
1 1 2
0 1 0
0 2 1
2 1 1
10 2
2 3 3
3 3 0
1 0 0
3 1 2
0 2 1
2 1 3
0 0 3
2 2 0
0 2 3
3 3 2
10 6
1 3 3
0 1 2
3 3 1
3 0 3
2 2 3
3 1 3
3 2 0
1 0 1
2 2 0
0 3 3
10 3
1 3 0
0 2 0
3 2 3
3 1 2
2 3 0
3 0 3
2 0 2
1 2 1
3 1 3
0 2 1
10 6
2 0 0
3 2 3
0 3 1
0 1 0
0 2 2
0 1 2
3 0 2
2 3 2
2 0 1
3 1 1
10 8
1 2 0
0 0 2
0 1 0
1 1 2
2 1 2
0 2 2
2 0 2
2 1 1
2 2 0
1 1 0
10 7
0 2 2
2 0 1
0 0 0
0 1 1
2 1 1
0 0 1
2 0 0
2 1 2
1 2 0
1 0 2
10 6
0 2 0
1 0 2
1 1 0
2 1 1
2 2 0
2 0 2
2 0 1
0 2 2
0 1 1
0 1 2
10 7
2 0 1
1 1 0
2 0 0
2 2 0
1 1 1
0 2 2
0 1 1
2 1 2
0 2 1
2 1 0
10 4
0 0 1
2 0 2
1 2 0
1 1 1
1 2 2
0 2 0
1 0 0
2 2 2
0 0 0
1 1 2
10 2
1 3 0
0 1 2
0 2 3
2 2 0
1 2 0
2 2 3
0 0 0
0 0 2
2 0 2
3 1 2
10 7
0 2 2
1 1 1
0 1 2
0 0 0
2 0 0
1 0 1
0 0 1
1 0 2
2 1 2
2 2 2
10 4
1 0 2
2 2 0
0 2 2
0 0 0
2 2 2
0 1 0
2 1 1
2 0 2
1 1 0
0 2 1
10 5
0 0 1
1 2 1
0 1 2
0 1 1
0 0 0
2 0 2
1 1 1
1 0 2
0 2 1
2 1 2
10 6
2 2 0
2 1 1
2 1 0
0 0 1
1 0 2
2 2 2
0 0 0
0 2 2
2 0 1
0 2 1
10 2
2 1 3
2 2 2
1 2 0
2 3 2
0 1 0
1 1 3
2 1 1
0 3 0
2 3 1
0 0 2
10 3
0 1 0
2 2 2
1 0 1
0 2 2
2 2 1
0 0 2
1 1 0
0 2 1
2 2 0
1 0 2
10 9
1 1 0
0 2 2
1 2 0
0 1 2
3 1 1
0 0 1
2 0 0
0 0 0
2 1 0
2 3 3
10 7
0 0 1
0 3 2
0 2 2
0 0 0
2 0 1
2 2 3
1 3 0
0 1 3
1 0 3
0 2 1
10 8
1 2 1
1 1 0
0 2 1
0 1 2
0 1 1
1 1 1
0 2 0
0 2 2
2 0 1
0 0 1
10 9
2 1 2
2 0 1
1 0 0
2 0 2
2 1 1
1 2 0
1 0 1
0 0 1
0 2 2
1 1 2
10 9
1 0 0
0 1 2
1 2 1
2 1 2
0 2 2
0 0 2
1 1 2
1 0 2
0 0 0
0 1 1
10 6
3 1 0
1 1 1
3 2 0
3 0 2
0 3 2
2 2 3
3 3 0
2 3 3
2 1 1
3 3 2
10 7
2 1 1
0 0 0
0 0 1
1 2 0
1 1 2
2 0 2
1 1 0
0 2 2
2 0 1
0 1 0
10 4
0 0 2
1 0 1
2 2 0
2 0 3
0 3 1
2 0 0
0 2 1
3 3 2
1 1 3
1 2 3
10 9
1 0 0
0 2 0
0 0 1
1 1 1
1 2 0
1 1 2
2 1 2
1 0 2
1 0 1
1 2 2
10 8
3 2 3
2 0 1
3 1 3
1 1 2
1 3 2
3 3 2
2 2 3
0 2 2
3 3 0
3 1 1
10 6
3 1 3
3 1 0
2 2 2
0 0 0
1 2 0
0 3 0
2 0 0
1 1 3
0 1 1
2 3 0
10 9
2 2 0
0 0 2
2 1 1
2 2 2
1 1 1
2 1 2
0 0 1
1 2 1
0 1 2
2 0 0
10 4
2 2 0
2 1 3
3 2 1
1 0 3
1 3 1
2 1 2
1 3 3
2 3 2
3 3 3
1 1 2
10 8
3 2 1
3 1 2
3 3 1
2 2 3
1 3 0
1 1 0
0 0 2
2 1 2
0 2 0
0 3 2
10 6
2 1 1
0 2 1
3 2 3
1 2 2
1 1 3
0 2 0
3 0 3
0 1 1
3 2 2
1 3 1
10 4
0 0 0
1 0 0
2 2 0
1 2 2
0 2 1
2 0 1
1 2 0
1 2 1
0 1 0
1 0 1
10 7
1 0 3
0 1 1
1 0 0
2 3 1
2 3 3
3 2 3
3 1 3
2 0 1
0 0 0
0 1 0
10 3
1 1 1
2 2 0
1 0 2
1 1 0
1 0 1
2 0 1
2 2 2
0 0 2
2 1 0
1 2 1
10 9
0 2 2
2 0 2
0 1 3
3 0 3
2 2 0
0 2 1
1 1 2
0 0 3
2 3 3
2 2 2
10 8
3 2 1
1 2 2
3 0 2
0 3 0
1 3 1
3 1 2
1 1 0
2 1 3
3 3 2
2 2 0
10 6
0 2 2
2 2 1
1 1 2
0 2 0
0 0 2
1 0 1
0 0 1
0 0 0
1 0 0
1 0 2
10 9
3 1 0
2 0 3
1 0 3
2 0 2
2 0 1
0 3 3
3 0 0
0 2 3
3 1 2
2 1 3
10 5
2 0 0
0 2 0
0 0 2
1 1 1
0 0 1
1 0 2
1 2 1
0 0 0
0 1 0
2 2 0
10 5
0 2 2
2 1 2
2 0 2
1 1 2
0 1 2
1 0 1
1 2 0
0 2 1
2 2 1
0 0 2
10 5
0 1 3
0 2 2
3 0 1
1 2 3
3 1 0
0 3 1
3 1 3
1 3 1
0 1 2
0 1 1
10 5
2 0 2
1 2 0
2 0 1
2 2 0
1 0 2
0 1 1
0 2 1
0 2 0
2 0 0
2 2 1
10 8
1 0 2
1 1 1
2 2 2
0 0 0
2 2 0
2 2 1
0 0 2
1 2 0
0 2 0
1 0 0
10 2
1 1 2
2 2 0
2 0 2
0 2 2
0 1 2
0 2 0
2 0 0
0 0 2
0 1 1
1 1 1
10 9
1 0 3
1 3 0
0 1 1
0 2 2
1 1 2
3 3 3
2 1 3
0 0 0
2 0 1
2 0 2
10 5
0 0 2
2 1 0
2 0 0
0 0 0
0 1 1
1 2 0
2 2 0
2 2 1
2 1 1
2 2 2
10 5
2 2 1
0 2 2
0 1 0
2 2 2
0 2 1
1 1 2
1 0 2
2 0 2
0 2 0
0 1 1
10 8
2 1 1
0 1 0
2 1 2
2 2 2
1 1 0
1 1 1
2 2 1
2 0 0
0 0 2
0 2 1
10 8
2 1 1
0 0 2
0 2 0
1 0 1
1 1 1
1 1 0
0 1 0
2 2 1
2 1 0
2 1 2
10 2
2 0 0
0 3 3
0 2 2
3 3 0
2 2 1
3 0 0
3 1 2
0 2 1
1 1 2
1 0 1
10 7
2 1 0
1 1 1
2 0 2
2 2 2
0 1 0
1 0 1
0 0 1
0 2 0
2 1 2
0 0 0
10 7
0 1 0
2 1 2
0 2 2
0 2 0
1 2 1
0 2 1
1 0 1
1 2 2
0 0 2
2 2 0
10 5
3 2 3
2 2 1
3 1 0
3 0 0
0 2 3
1 1 2
3 2 0
3 0 1
1 2 2
0 2 2
10 4
1 1 0
0 2 2
1 0 0
2 0 0
2 1 1
2 2 2
1 2 2
0 2 1
1 1 2
2 1 0
10 8
0 1 2
0 1 3
0 0 0
0 3 2
3 1 3
0 1 1
1 0 0
2 3 1
3 1 2
2 1 3
10 8
1 2 1
0 1 1
1 1 1
1 0 1
2 0 0
1 1 2
1 1 0
1 0 0
1 2 0
2 1 0
10 5
0 2 1
1 0 1
1 1 0
1 0 0
1 0 2
0 1 0
2 1 2
1 2 0
1 1 1
0 0 0
10 5
0 1 2
1 1 2
1 2 1
0 2 2
2 0 1
1 2 0
0 1 1
0 1 0
0 0 0
2 1 2
10 9
2 0 3
3 1 0
0 2 2
0 2 0
3 0 1
0 1 2
2 1 1
2 2 0
2 1 2
1 0 2
10 8
0 2 2
1 2 0
2 2 0
1 1 0
2 1 2
1 2 2
1 2 1
0 0 0
1 1 1
0 0 2
10 7
1 3 1
1 2 3
2 3 2
2 3 1
1 1 3
0 1 3
0 3 2
0 2 0
3 0 2
0 1 0
10 5
1 0 0
1 1 3
1 2 1
2 3 3
0 2 2
2 0 3
1 3 2
1 0 2
3 1 3
3 3 0
10 3
3 1 1
3 2 0
1 0 3
3 0 2
2 2 0
0 1 3
3 1 2
2 3 0
1 2 1
1 0 2
10 6
3 3 2
0 1 1
1 0 0
1 0 2
0 0 0
2 1 2
0 3 0
1 3 1
2 2 2
2 2 0
10 2
1 1 0
1 3 2
1 2 0
0 3 3
0 0 2
3 1 3
2 1 2
2 0 2
0 2 0
1 0 2
10 7
2 0 1
2 1 0
1 2 1
1 0 1
1 1 0
0 2 2
0 1 0
2 2 1
0 1 2
1 1 2
10 5
3 0 1
3 1 3
3 2 2
1 3 0
2 0 3
1 1 3
1 1 2
0 1 1
1 1 1
3 1 1
10 8
1 0 2
0 0 0
0 2 1
1 0 1
0 2 0
0 2 2
2 1 1
1 2 0
2 2 1
1 0 0
10 6
0 2 0
2 0 2
1 2 2
1 0 0
0 2 3
2 1 2
3 0 0
2 2 1
1 3 2
0 0 0
10 7
0 1 0
1 2 3
1 3 2
3 3 0
2 0 2
3 1 1
0 3 1
0 0 2
1 2 2
2 3 3
10 6
2 1 2
2 1 1
0 1 1
0 0 2
2 2 2
1 0 1
2 0 1
1 2 2
2 0 0
2 2 0
10 3
1 2 2
0 0 2
2 1 1
2 0 2
0 0 0
0 2 0
0 0 1
0 1 2
2 2 1
2 0 0
10 8
1 1 3
0 3 3
2 0 2
3 3 3
0 2 3
1 1 0
1 0 2
3 1 1
0 0 0
2 3 0
10 5
1 2 0
1 0 0
2 1 2
2 2 0
0 1 2
0 0 0
2 0 2
1 0 1
0 0 2
2 0 1
10 6
1 1 2
1 2 2
1 1 1
1 1 0
1 0 2
2 2 2
0 1 0
0 1 1
1 0 1
0 0 1
10 8
1 1 3
2 0 2
2 2 2
0 3 2
3 3 2
1 3 1
1 0 3
2 1 1
3 0 0
1 0 1
10 3
0 3 3
0 0 1
3 3 3
2 0 2
1 3 1
1 1 1
0 3 0
2 1 0
0 3 2
2 1 2
10 6
1 0 0
0 1 1
2 1 3
3 3 2
3 0 1
3 2 2
1 2 1
2 1 1
0 0 0
0 0 3
10 7
2 0 2
2 0 3
0 2 3
1 0 3
3 1 1
0 0 0
1 3 3
0 2 1
0 0 1
3 2 0
10 4
2 2 0
1 1 2
1 2 2
1 1 1
1 2 1
1 0 2
2 0 0
1 2 0
0 2 1
0 0 0
10 8
1 1 2
0 1 0
2 0 2
1 1 1
2 1 1
2 1 2
1 1 0
0 1 2
2 2 0
0 1 1
10 3
1 1 2
0 2 0
2 1 2
1 1 0
0 2 2
1 2 0
0 1 0
0 0 0
1 2 2
1 2 1
10 9
1 2 2
2 2 0
2 0 1
0 1 0
1 0 2
0 1 1
2 1 2
1 1 2
2 1 0
1 2 0
10 9
2 0 0
1 1 0
1 1 1
0 0 1
0 1 2
1 1 2
0 0 2
2 2 0
1 0 2
0 2 0
10 9
1 0 0
1 2 2
2 1 0
0 2 1
1 1 0
1 0 2
2 0 2
2 1 1
2 2 0
1 1 2
10 6
0 2 3
3 3 0
1 1 1
0 1 1
0 0 1
1 3 0
0 1 0
3 0 0
2 1 2
2 2 0
10 5
0 0 1
2 0 1
2 2 0
0 2 2
1 2 2
2 2 2
1 0 0
1 2 1
2 2 1
0 1 1
10 9
1 1 1
0 3 0
3 1 3
3 1 1
1 1 3
0 1 2
1 0 0
3 1 0
2 3 3
3 2 2
10 8
1 1 1
1 0 0
0 0 0
0 1 2
2 1 0
0 1 1
2 0 2
1 0 2
1 2 2
2 0 1
10 4
2 1 2
1 0 2
0 1 2
2 2 2
2 2 1
2 0 1
0 0 2
1 1 1
1 1 0
1 2 1
10 2
1 0 2
2 0 3
0 3 0
2 3 1
0 1 3
0 1 1
1 3 0
1 1 0
2 2 1
0 1 2
10 2
2 2 0
1 2 0
1 2 2
0 1 1
2 1 1
2 2 2
0 0 1
1 0 1
2 2 1
0 2 0
10 3
1 2 2
1 1 1
0 0 1
2 1 0
1 1 0
0 2 2
2 2 0
1 0 0
2 2 1
0 1 2
10 7
1 2 2
3 2 1
2 0 2
0 1 1
1 1 1
3 2 3
1 1 3
2 2 0
1 3 3
0 0 2
10 8
2 1 0
0 0 2
0 2 1
1 2 1
1 1 0
0 1 2
0 1 1
1 0 2
2 2 2
2 0 2
10 6
1 2 1
2 1 2
0 2 2
2 2 2
1 1 1
1 2 2
0 1 2
2 1 0
1 1 2
1 2 0
10 8
0 1 1
0 3 1
1 0 2
3 3 0
3 0 3
0 0 0
1 3 2
2 1 0
3 0 1
2 1 2
10 7
0 0 0
1 0 1
2 1 1
1 2 1
1 2 0
2 2 2
2 2 1
2 1 0
1 2 2
2 2 0
10 4
3 0 1
1 3 3
1 0 0
2 2 0
0 0 3
1 3 1
0 0 2
3 3 3
2 2 2
3 1 1
10 3
0 0 1
0 2 1
1 1 1
1 0 2
2 0 1
2 2 1
2 1 0
2 2 0
1 0 0
0 0 2
10 4
1 1 0
0 0 0
0 1 0
2 0 1
2 2 0
1 1 2
2 2 2
1 1 1
0 0 1
2 1 1
10 2
2 2 0
2 0 1
2 0 0
0 1 1
0 1 2
0 0 2
2 1 0
0 1 0
0 2 1
1 1 1
10 6
1 1 0
2 2 1
0 2 0
1 2 2
1 2 1
0 1 0
1 0 2
2 0 1
0 2 1
2 1 2
10 6
1 0 0
0 1 3
1 2 2
0 3 2
0 0 1
2 1 0
3 2 0
2 3 0
2 2 2
3 1 2
10 3
1 1 2
0 1 2
2 2 3
1 0 2
2 3 0
3 3 2
0 0 3
0 0 2
0 2 3
0 2 2
10 8
0 0 1
2 2 0
0 2 0
2 0 2
0 1 2
0 0 0
1 1 2
0 1 0
2 1 2
1 0 1
10 9
1 0 0
0 0 2
0 0 1
0 2 2
0 1 1
1 0 2
0 1 0
0 1 2
1 2 2
1 1 0
10 2
2 1 2
1 0 0
1 1 0
0 1 2
0 1 0
1 2 0
0 1 1
2 2 1
1 0 2
2 0 0
10 5
1 2 1
0 2 0
1 1 1
2 2 1
1 0 2
1 1 0
2 1 0
1 0 1
2 0 1
1 0 0
10 5
0 1 0
2 1 2
1 0 0
2 0 1
0 2 2
2 1 1
0 2 0
2 0 0
0 1 2
2 0 2
10 2
1 2 1
1 0 1
0 2 1
0 0 1
1 2 2
1 1 1
1 2 0
0 0 2
1 0 2
1 0 0
10 7
3 0 2
3 1 3
2 0 3
3 2 0
0 0 2
1 0 3
3 1 2
2 2 2
2 0 0
0 2 1
10 2
1 1 0
1 0 2
0 1 2
0 2 1
2 0 2
0 0 2
0 0 0
2 0 0
2 2 1
2 2 0
10 7
0 2 1
0 0 2
2 0 2
2 2 0
2 0 1
0 0 0
2 0 0
2 1 0
1 1 0
1 0 2
10 6
2 1 0
2 2 1
3 2 3
1 3 1
3 2 1
0 2 3
3 1 3
0 1 3
3 1 0
0 2 1
10 3
2 0 0
1 0 1
1 1 2
1 0 0
1 1 0
2 1 2
2 0 2
2 2 1
2 2 0
1 2 1
10 2
1 1 0
2 2 1
1 1 2
0 0 0
2 0 1
0 1 1
0 2 1
1 2 2
1 2 0
2 1 0
10 3
2 2 1
2 2 2
1 1 2
0 2 0
2 2 0
2 0 0
0 0 2
0 1 0
1 2 0
2 1 2
10 4
1 0 0
2 2 2
0 1 0
2 1 1
1 0 1
2 0 2
1 1 0
2 0 1
2 1 2
0 2 2
10 6
1 1 2
2 3 1
3 3 3
0 0 0
1 2 1
0 1 0
1 2 2
0 1 3
0 3 2
1 2 3
10 6
1 3 2
2 3 1
2 3 2
1 1 3
0 2 2
0 3 3
1 0 2
2 0 0
2 1 1
2 1 2
10 9
2 2 3
3 2 2
0 0 2
1 1 3
0 0 0
0 1 1
2 1 1
2 2 2
2 2 1
0 2 2
10 8
0 0 0
2 2 3
1 0 2
3 0 0
1 1 1
2 2 1
1 0 1
1 1 3
0 0 3
2 1 1
10 4
0 3 2
2 0 0
1 3 3
2 3 1
0 1 3
1 3 1
2 2 0
3 0 0
0 0 3
3 2 2
10 4
0 0 0
0 1 2
0 0 1
1 0 3
1 1 0
1 2 2
3 3 3
3 2 3
0 0 3
1 1 3
10 8
2 2 0
0 0 2
2 0 0
0 2 2
0 1 0
2 0 2
1 1 0
1 0 1
1 1 1
2 1 1
10 8
0 1 0
1 2 0
0 2 2
2 2 1
0 0 2
0 1 2
2 1 1
2 2 0
0 0 0
1 1 1
10 6
2 0 3
3 1 3
2 2 1
1 3 2
0 3 3
1 0 2
2 2 0
1 0 3
0 0 2
3 2 0
10 9
1 2 0
0 2 1
2 2 0
0 0 0
2 1 1
1 0 1
1 2 1
1 1 0
2 2 1
0 2 2
10 3
2 3 1
1 0 2
1 1 1
1 2 3
0 3 0
3 3 2
3 3 3
1 3 1
1 0 0
3 2 3
10 5
2 0 1
2 0 0
0 1 2
2 1 2
0 2 3
3 3 2
3 1 3
3 0 1
1 3 3
2 3 0
10 5
3 0 2
3 1 0
2 3 2
3 3 3
0 1 2
3 3 1
0 1 3
1 2 2
1 1 3
1 1 1
10 4
1 1 2
2 2 0
1 1 1
2 1 2
0 1 1
0 0 0
0 1 2
2 0 0
1 0 1
0 1 0
10 9
1 2 1
2 2 1
0 1 0
2 0 1
0 1 2
0 2 1
2 1 2
1 0 1
2 0 2
1 2 0
10 3
1 0 0
1 2 1
0 0 2
0 1 0
2 1 0
1 2 0
0 2 1
1 0 2
1 0 1
1 1 2
10 4
1 1 1
2 1 1
0 2 1
2 0 2
1 2 0
0 0 1
0 1 0
2 2 0
1 0 1
2 0 1
10 8
2 0 2
2 1 0
1 2 1
2 2 0
0 1 1
1 0 2
0 0 2
2 2 2
0 0 0
2 0 1
10 8
0 2 1
3 1 1
1 0 1
3 3 2
2 1 0
1 3 2
1 2 3
1 2 1
2 1 1
2 3 1
10 3
0 0 2
1 3 0
0 2 3
3 1 1
2 1 3
1 0 3
0 2 1
0 0 3
3 1 3
2 0 0
10 5
2 0 1
0 1 0
3 3 0
3 3 1
1 1 0
0 0 0
1 1 2
0 0 3
1 2 3
2 2 3
10 5
0 0 3
3 2 3
0 3 3
0 2 1
2 0 1
2 2 0
0 3 2
1 0 3
2 0 2
2 1 0
10 8
1 2 2
3 0 3
2 2 2
2 0 0
3 2 1
1 3 3
2 3 2
2 2 3
2 3 3
1 2 1
10 3
2 0 0
0 0 0
0 1 1
1 0 0
2 1 0
0 1 0
1 2 2
1 1 0
2 1 1
2 0 1
10 7
0 0 1
1 2 2
1 2 1
0 2 2
1 2 0
0 0 2
0 1 2
1 1 2
2 2 2
2 2 0
10 6
0 0 2
2 0 0
2 2 0
2 2 1
0 2 1
2 0 2
2 1 1
1 1 0
0 1 1
1 0 0
10 8
1 0 1
2 2 1
0 1 1
2 2 0
0 2 2
0 0 0
0 1 0
1 2 2
2 0 0
1 1 0
10 7
2 0 0
1 0 2
0 1 1
2 0 2
0 0 2
1 2 1
1 0 0
1 1 2
0 1 0
2 2 2
10 7
3 2 0
3 0 1
0 3 1
1 0 0
0 2 1
2 1 0
1 2 0
1 1 3
3 3 0
3 3 2
10 8
1 0 2
0 1 1
2 2 1
1 2 1
0 2 1
3 3 3
3 1 3
2 0 0
0 1 2
2 2 0
10 6
0 2 1
1 1 1
0 1 0
0 0 2
2 1 2
1 2 0
0 1 2
0 2 0
2 1 1
0 0 0
10 9
1 1 2
0 2 3
0 2 1
1 2 2
2 1 2
0 0 3
3 2 0
0 0 0
1 0 1
1 3 2
10 2
1 0 2
1 3 2
3 3 1
0 3 3
1 1 2
2 0 0
3 2 3
0 0 3
2 3 0
0 0 1
10 8
0 2 2
0 0 0
1 2 2
1 0 1
2 0 1
0 0 2
2 0 0
0 1 1
1 0 2
0 1 0
10 5
1 0 0
1 1 0
1 3 1
0 1 0
1 2 0
3 0 1
2 3 3
0 2 0
2 3 2
1 2 1
10 4
1 2 0
1 3 2
2 1 0
1 0 2
2 0 3
2 2 3
1 2 1
2 0 0
2 2 2
3 0 0
10 8
2 1 1
0 2 0
1 1 2
1 1 1
1 2 2
1 0 2
1 2 0
0 1 1
1 0 1
2 2 0
10 3
1 1 1
2 1 2
2 3 1
2 3 0
1 3 3
1 0 2
2 1 1
1 2 2
0 2 1
0 0 2
10 8
0 0 2
1 2 2
2 2 0
1 2 0
2 1 2
0 1 1
2 1 1
1 2 1
2 0 2
1 0 1
10 9
0 1 1
0 2 0
0 1 2
1 2 1
2 1 0
1 0 0
2 0 2
2 2 1
2 2 2
1 0 2
10 4
0 2 1
0 0 2
2 0 1
1 1 1
2 1 2
1 0 2
2 0 0
0 2 2
1 1 2
0 1 2
10 4
1 0 2
2 0 0
0 1 0
2 2 1
0 2 1
0 0 2
1 2 1
2 2 2
1 1 0
2 0 1
10 9
3 2 0
0 2 1
3 1 1
0 1 0
0 1 3
3 2 1
1 0 3
1 1 1
2 0 1
0 2 3
10 4
3 3 2
2 1 3
3 0 0
0 1 1
1 2 3
1 3 3
1 3 2
3 3 1
1 0 0
1 0 3
10 8
0 2 2
1 3 1
0 3 3
0 3 0
1 2 0
0 1 1
2 2 2
0 1 2
1 2 3
0 1 3
10 4
2 2 0
2 0 0
0 2 2
2 2 2
1 1 2
2 1 1
1 0 1
2 2 1
2 1 2
2 0 1
10 2
1 0 1
3 3 3
3 2 2
2 2 2
0 1 3
0 3 2
3 3 0
2 1 3
3 1 0
3 1 1
10 4
2 2 1
1 0 2
2 1 0
0 0 2
2 0 2
0 1 2
0 1 0
2 2 0
1 1 2
1 2 1
10 3
1 3 1
0 2 1
2 2 1
0 0 2
2 0 1
2 0 2
2 2 3
2 2 2
0 0 0
3 0 1
10 9
3 1 0
2 1 0
0 2 0
2 3 1
2 2 2
0 1 2
2 1 3
3 2 1
0 2 1
1 0 1
10 4
2 1 1
1 0 0
2 2 2
3 0 2
0 2 0
3 2 2
1 2 0
3 2 1
0 1 2
1 0 1
10 3
1 1 1
0 1 0
1 0 1
2 1 1
0 0 2
2 0 0
1 2 2
2 2 1
2 1 2
0 2 2
10 9
1 0 2
0 2 1
0 2 0
0 1 2
2 2 1
1 1 0
1 2 1
1 2 0
1 0 0
2 2 0
10 2
0 1 0
1 1 0
2 0 0
1 0 0
2 0 1
0 2 2
2 1 1
1 1 2
1 2 0
2 1 2
10 8
1 0 0
2 0 2
0 1 0
1 1 2
1 2 0
2 1 1
0 2 0
1 2 2
0 1 1
1 1 1
10 6
1 0 0
0 2 2
0 0 1
0 1 1
2 2 1
2 1 0
0 0 0
2 0 0
1 2 0
1 1 1
10 2
1 1 0
2 0 1
3 2 0
0 3 1
1 2 0
2 0 3
0 3 3
1 2 1
1 3 1
3 0 0
10 4
1 1 0
3 3 2
3 1 3
1 2 1
1 0 2
1 1 3
0 1 2
3 0 1
2 1 0
2 1 2
10 3
2 2 0
1 0 1
1 1 2
0 2 2
2 0 0
0 2 0
2 0 1
1 2 0
0 1 2
1 0 0
10 5
0 1 1
0 2 0
1 2 0
2 0 2
1 0 0
2 1 0
0 0 0
2 1 2
0 1 2
2 0 1
10 8
1 0 0
0 2 1
0 2 0
2 1 0
2 1 1
1 2 1
2 0 0
2 1 2
0 0 2
0 0 0
10 4
2 2 2
2 3 0
0 3 0
2 0 1
0 3 2
1 0 2
2 0 0
3 2 2
1 1 1
0 0 2
10 8
3 0 2
0 2 1
1 2 2
0 1 1
2 1 1
0 3 3
2 0 0
3 1 3
1 3 3
3 3 1
10 5
0 2 1
2 1 2
1 2 1
1 1 2
1 0 2
2 1 1
2 2 1
1 1 0
0 2 2
1 2 0
10 8
1 3 2
2 2 3
3 3 2
0 1 1
2 2 0
0 1 2
0 0 3
1 2 2
2 2 1
0 1 0
10 5
0 2 1
1 1 1
2 1 1
0 2 0
2 1 0
2 1 2
2 2 0
0 1 2
1 1 2
2 2 2
10 5
1 2 0
1 3 0
1 0 3
1 1 1
2 3 2
3 1 3
0 2 0
2 3 3
2 1 1
3 0 1
10 3
0 2 0
2 1 0
2 3 2
0 0 0
1 3 0
2 2 1
1 1 2
0 3 2
1 3 2
0 2 1
10 6
1 1 0
0 2 0
1 0 2
2 2 0
2 1 0
0 2 1
2 1 1
0 0 0
1 2 1
0 1 0
10 3
1 1 3
2 2 1
0 0 3
2 2 0
0 3 0
2 1 2
2 1 3
0 2 3
1 2 2
3 0 3
10 8
0 1 1
0 1 3
0 2 0
2 1 3
2 2 2
3 1 2
3 0 3
1 1 3
3 1 3
0 2 3
10 2
2 1 1
1 2 2
2 2 1
0 0 0
0 0 2
0 1 0
0 0 1
1 0 0
2 0 2
2 2 0
10 4
1 0 2
0 0 0
1 0 1
0 1 2
1 1 0
2 0 2
2 1 1
0 0 1
0 0 2
1 0 0
10 3
2 1 0
1 1 2
2 1 1
1 0 0
0 0 0
2 2 0
2 0 1
1 1 1
2 0 2
0 2 1
10 5
3 2 3
3 3 3
2 2 1
1 1 1
0 0 1
1 3 3
2 1 0
0 1 0
0 0 2
2 2 0
10 5
2 3 2
0 3 2
0 3 3
0 0 3
1 0 2
2 0 2
1 3 2
3 1 2
0 2 0
3 3 3
10 2
0 0 1
2 0 2
0 2 2
1 1 1
1 0 0
1 0 1
0 1 2
0 0 2
1 2 1
2 2 2
10 3
0 1 1
3 2 0
2 3 0
1 2 1
3 1 2
0 3 1
2 0 2
0 0 0
0 2 2
3 0 3
10 8
1 0 0
0 0 1
0 1 2
0 1 1
1 1 1
1 2 2
2 2 2
2 0 0
0 0 2
2 1 2
10 7
2 2 1
3 1 2
0 1 3
1 3 3
3 0 0
3 3 2
0 2 0
1 0 2
2 0 3
0 1 2
10 3
2 1 1
1 2 0
1 0 1
0 2 1
1 1 2
0 1 0
0 2 0
1 2 2
2 1 0
1 1 1
10 4
2 2 0
2 1 2
1 1 2
1 0 2
1 0 1
1 0 0
1 2 1
2 2 2
1 2 2
2 1 0
10 4
1 1 0
1 2 1
0 2 1
2 0 1
0 2 2
1 2 2
1 0 0
0 0 1
1 0 2
0 2 0
10 5
0 1 0
2 0 2
1 0 2
1 2 0
2 0 0
1 2 1
1 1 1
0 2 1
2 2 2
0 2 0
10 6
1 1 1
2 1 1
0 2 0
2 1 0
2 2 2
1 2 2
0 1 2
0 0 1
1 1 2
0 2 1
10 3
2 0 0
1 2 0
1 1 0
1 0 2
0 1 1
2 1 1
2 1 2
0 0 1
0 2 2
0 0 0
10 5
3 1 0
0 1 2
3 0 3
3 2 2
1 2 0
0 0 1
0 1 0
2 3 1
3 3 1
0 0 0
10 3
0 2 0
1 0 3
1 2 1
1 0 1
1 1 2
1 0 2
2 1 3
3 0 0
2 3 2
3 0 2
10 3
0 2 3
3 0 2
2 3 3
2 0 3
2 1 0
1 2 0
0 1 2
0 2 2
1 1 0
3 0 3
10 9
3 0 1
3 3 1
1 1 0
0 3 0
3 2 1
0 0 0
2 2 2
0 1 2
1 2 0
1 0 3
10 3
2 2 2
2 0 0
1 0 1
1 1 2
3 2 1
0 0 3
0 3 1
2 0 3
3 3 1
2 2 3
10 5
1 1 0
0 2 1
1 0 3
0 1 0
0 1 1
3 2 0
2 1 1
1 3 0
3 1 2
0 0 3
10 3
0 1 0
2 1 1
2 0 1
1 0 0
2 1 0
2 2 0
0 0 1
0 1 2
1 0 1
2 2 1
10 8
2 2 1
3 3 1
3 3 3
1 1 0
2 3 1
0 3 1
3 2 3
0 0 0
3 3 0
1 0 1
10 2
2 0 0
0 3 0
1 0 0
3 3 0
3 2 2
2 0 1
1 2 0
1 1 0
2 3 0
3 0 3
10 7
2 0 0
0 2 0
1 2 0
1 2 1
1 0 2
0 1 2
0 0 1
1 0 0
0 0 0
2 2 2
10 6
2 1 1
3 0 1
3 3 2
0 0 1
2 0 2
2 0 0
0 1 1
0 2 1
3 0 0
3 3 1
10 5
2 2 3
0 3 3
2 3 1
1 0 0
2 3 0
1 1 1
1 0 2
0 3 2
3 3 1
3 2 1
10 2
3 0 3
1 1 2
3 1 3
1 0 2
0 0 1
1 0 0
0 0 3
3 2 3
1 2 0
2 2 3
10 8
2 0 2
1 3 1
3 1 0
0 1 1
3 2 0
2 3 3
1 3 0
0 0 1
0 0 3
3 2 1
10 7
2 2 2
1 1 0
1 1 1
0 0 1
0 2 2
0 1 0
0 2 0
2 2 1
1 0 2
1 0 0
10 4
0 2 1
3 0 3
0 1 1
1 1 2
2 3 3
2 2 1
0 2 3
3 3 3
1 0 0
1 0 3
10 4
0 0 1
2 3 1
2 1 2
3 2 0
2 3 3
0 2 2
0 3 2
2 0 3
1 1 1
1 1 0
10 5
2 1 0
2 0 2
1 1 1
1 0 2
1 0 0
2 2 1
0 2 1
1 2 1
2 1 1
0 1 1
10 8
0 1 0
0 1 2
1 2 1
2 2 2
1 0 0
0 2 1
0 1 1
2 0 2
2 1 2
2 1 0
10 3
0 2 2
2 0 2
1 2 1
2 1 2
0 1 0
0 0 1
1 0 1
0 0 2
2 2 0
1 1 1
10 3
1 1 3
1 0 2
2 1 3
2 3 1
0 2 3
0 2 0
1 1 2
2 3 0
0 2 1
2 0 3
10 2
2 3 1
1 2 3
3 1 2
0 1 0
1 1 1
0 3 2
1 3 1
3 3 1
0 2 0
3 2 0
10 4
2 2 1
2 0 0
1 2 2
2 0 2
2 1 1
1 0 0
2 2 2
1 1 1
1 1 2
0 0 0
10 5
0 2 1
1 1 0
2 0 0
2 2 0
2 0 1
2 0 2
1 1 1
0 2 2
1 0 1
0 2 0
10 5
0 0 2
0 3 0
1 3 3
2 3 0
0 0 0
2 2 3
3 3 2
2 3 3
1 1 1
3 3 3
10 5
2 0 0
3 0 2
3 1 1
1 0 0
0 2 0
0 0 1
1 1 0
0 1 2
1 1 2
1 3 0
10 2
1 1 2
0 0 3
0 1 0
3 1 1
1 3 0
3 3 0
2 0 0
3 2 1
0 0 1
2 0 1
10 9
2 0 3
1 0 3
3 0 0
1 2 2
2 3 2
0 0 1
3 2 1
2 2 2
1 2 3
1 0 2
10 7
3 3 3
2 0 2
1 3 0
1 0 3
0 2 3
1 3 1
1 2 2
2 2 0
2 1 0
1 0 1
10 9
2 0 2
1 1 2
2 1 1
2 1 2
1 2 1
0 2 2
1 2 0
1 0 1
2 2 0
2 2 1
10 4
1 0 2
0 0 1
2 1 0
0 1 1
2 2 2
1 2 2
2 1 2
0 2 0
1 0 0
0 0 2
10 9
2 0 1
3 1 3
3 2 0
0 2 1
0 3 2
1 3 1
3 2 3
3 0 0
1 0 1
0 2 3
10 5
2 2 1
0 1 2
1 1 0
1 1 1
2 1 1
1 2 0
2 0 1
0 2 2
0 2 1
1 0 2
10 7
1 2 0
0 1 1
1 2 1
0 1 0
0 0 1
0 2 0
0 0 0
0 2 2
0 1 2
1 0 0
10 7
3 3 0
0 2 2
1 1 3
0 0 3
1 2 3
2 0 1
3 2 3
2 1 1
1 3 2
2 3 1
10 9
0 2 1
0 1 0
0 2 0
2 1 1
0 1 1
0 0 2
1 2 2
0 1 2
2 2 2
1 0 2
10 4
2 1 0
2 2 2
2 1 2
0 2 2
3 2 2
1 0 0
0 3 3
1 2 3
2 2 0
3 2 1
10 6
0 0 2
1 2 0
2 2 2
2 0 0
0 1 2
1 2 2
1 1 2
2 2 1
0 2 2
2 1 1
10 3
0 0 1
0 2 0
2 1 2
0 1 2
0 2 2
1 2 0
1 2 2
2 2 2
2 2 0
1 1 0
10 7
1 2 1
2 1 3
0 2 0
3 1 3
1 3 0
1 1 1
1 3 2
1 0 3
2 0 0
1 2 3
10 5
3 1 3
0 0 1
3 2 1
0 1 1
3 3 1
0 3 3
3 3 0
2 0 1
2 0 2
2 3 1
10 4
1 0 1
1 2 1
1 1 0
2 0 1
0 0 1
0 2 0
1 0 0
1 1 2
0 1 1
0 0 2
10 5
0 1 1
1 2 0
0 2 2
1 0 1
0 0 2
1 2 1
1 1 1
1 0 0
0 2 1
1 2 2
10 8
2 2 3
1 2 3
0 0 1
3 0 2
3 3 3
2 2 2
0 0 2
0 1 2
2 1 2
2 2 1
10 8
1 2 1
0 2 2
1 3 2
3 3 2
0 0 3
0 0 2
2 3 0
3 3 0
1 0 2
0 2 3
10 2
2 0 2
1 1 1
0 1 0
1 0 0
1 1 0
2 0 0
1 2 2
1 1 2
0 0 1
1 2 0
10 4
0 1 3
1 2 3
0 0 0
3 3 0
0 3 1
2 3 3
0 3 0
2 2 1
0 2 3
2 0 2
10 4
0 1 1
0 0 0
0 1 2
2 0 2
1 2 2
0 2 2
2 0 0
1 1 0
1 2 0
2 0 1
10 7
0 0 0
1 3 0
1 0 0
1 1 3
2 2 1
2 2 0
0 1 0
3 2 2
3 2 3
2 1 0
10 5
2 0 2
1 1 2
1 0 0
1 2 0
2 0 1
1 0 2
1 1 0
2 1 2
1 1 1
1 2 1
10 3
3 2 2
2 1 0
0 0 1
0 3 0
0 1 1
0 3 3
0 1 3
3 3 2
3 1 2
1 0 2
10 4
1 1 0
0 0 3
3 0 2
3 2 1
1 2 0
0 1 2
2 0 0
2 0 3
2 3 3
3 2 3
10 2
0 2 1
2 1 0
1 0 1
0 1 1
1 2 2
2 0 0
1 1 0
2 2 2
0 2 2
2 1 1
10 2
1 2 2
0 0 1
0 1 1
2 0 1
1 1 0
0 2 1
2 2 0
0 2 0
0 2 2
2 0 2
10 5
2 0 1
2 0 0
2 2 1
0 1 0
0 2 2
2 2 2
0 2 1
2 1 1
1 2 1
0 0 0
10 7
3 1 0
2 0 3
1 0 0
2 0 0
3 0 3
1 1 1
3 3 0
1 3 1
0 1 1
1 0 3
10 4
1 2 0
0 1 0
2 2 0
3 3 1
2 0 2
2 0 0
3 0 3
2 0 1
1 3 1
2 2 1
10 5
0 2 2
1 2 2
0 0 0
0 0 1
0 1 0
1 2 0
1 1 0
1 0 1
2 0 1
2 2 0
10 5
3 2 0
0 3 1
0 3 3
2 1 1
0 0 0
1 2 2
2 0 1
3 1 3
1 0 1
1 2 1
10 8
1 2 0
2 1 1
3 3 0
3 0 0
2 3 2
1 1 2
1 0 1
1 1 3
1 3 1
3 3 3
10 5
0 0 2
1 1 1
1 0 0
2 2 0
0 0 1
1 0 2
0 1 0
1 2 2
0 2 0
2 0 1
10 7
0 2 0
2 1 1
1 0 0
2 0 2
1 2 0
1 0 2
0 2 2
2 0 1
0 0 1
1 1 1
10 8
2 1 2
2 2 2
0 0 1
2 1 1
1 1 0
2 2 1
1 1 1
1 0 1
2 0 0
2 1 0
10 5
2 2 2
0 0 1
2 1 0
2 1 2
0 1 0
1 2 0
0 2 2
1 1 2
1 0 0
1 2 1
10 9
3 0 3
1 1 1
1 0 3
2 3 2
3 0 2
0 3 2
0 0 1
0 0 3
1 2 3
3 2 1
10 4
1 1 0
0 2 1
1 2 2
0 2 0
0 0 1
2 2 1
0 1 0
1 2 1
0 1 2
2 2 2
10 3
2 1 1
0 1 1
0 2 0
0 1 0
1 2 2
2 1 0
0 2 2
2 0 0
1 0 2
1 2 0
10 9
2 1 3
0 0 0
2 2 0
1 2 2
0 3 1
3 2 1
2 0 1
0 0 3
3 1 3
1 2 0
10 2
0 1 2
1 0 1
0 2 1
1 1 0
1 2 2
0 2 0
0 0 0
1 1 2
1 2 1
2 1 0
10 5
0 2 3
0 0 0
2 1 0
3 0 3
2 2 1
1 1 1
3 1 3
2 3 3
3 0 2
0 3 0
10 7
1 2 0
1 0 2
1 0 0
0 1 1
0 2 1
0 2 0
1 2 1
0 1 0
0 0 0
0 0 1
10 9
2 2 0
0 2 0
2 2 2
0 0 2
1 2 2
1 1 2
0 0 0
2 0 1
0 2 1
0 0 1
10 4
1 2 2
2 1 1
1 0 1
1 1 2
0 1 0
1 1 1
0 2 0
2 0 2
1 2 1
2 0 1
10 3
2 1 1
1 0 2
0 2 0
0 1 0
1 2 2
0 2 2
1 0 0
0 0 1
2 2 1
1 1 2
10 6
0 2 0
1 0 3
3 1 3
1 0 1
0 0 2
3 3 3
3 3 2
2 1 0
1 1 1
0 3 1
10 2
1 1 3
1 2 3
0 3 2
1 3 1
1 3 0
1 1 2
0 2 0
1 0 0
0 0 1
3 2 0
10 3
1 2 1
2 2 1
1 0 2
1 2 0
2 0 2
0 0 1
2 2 0
0 2 1
1 1 0
1 0 1
10 4
0 2 0
2 1 3
2 3 0
0 3 3
3 0 2
0 1 2
1 2 0
3 1 3
2 0 2
1 0 2
10 2
1 0 2
2 0 1
2 0 2
0 1 2
1 2 2
1 1 0
0 2 0
2 2 2
0 0 1
0 0 0
10 3
3 0 2
1 0 2
0 3 1
1 1 3
2 2 0
2 1 3
1 2 0
2 3 0
2 0 0
3 3 0
10 5
2 1 1
1 0 2
0 1 1
1 1 2
2 1 0
2 2 3
3 0 3
1 1 0
1 3 2
1 3 3
10 2
2 1 2
1 0 1
0 1 1
2 2 2
1 1 1
2 0 1
2 1 0
2 1 1
1 0 0
0 0 1
10 9
0 1 2
0 0 0
2 2 0
1 1 2
1 2 2
0 0 2
0 2 1
2 0 0
1 0 2
2 1 1
10 7
1 1 1
1 0 0
2 0 1
2 2 2
2 1 1
2 1 2
2 0 2
0 0 2
0 2 1
0 1 2
10 5
1 1 1
0 1 2
2 3 1
2 0 1
2 2 0
3 1 1
1 3 0
2 2 2
0 0 3
1 2 0
10 6
1 3 1
2 2 1
3 1 0
1 1 2
1 0 0
2 3 0
2 3 1
2 1 0
3 3 3
0 1 3
10 2
1 0 2
0 0 2
2 0 1
1 0 1
0 1 1
2 2 1
1 0 0
2 2 2
0 0 0
0 0 1
10 6
0 2 1
2 0 1
1 0 2
1 2 0
2 1 1
1 2 2
2 2 0
2 1 0
1 1 0
0 1 2
10 2
3 3 0
1 3 1
3 1 0
0 1 3
3 0 3
3 2 1
1 1 1
2 1 3
3 2 3
1 1 3
10 4
1 2 2
0 2 0
2 1 0
0 0 0
0 1 0
0 1 1
2 0 2
1 2 1
1 2 0
0 2 1
10 5
1 0 2
0 0 1
0 0 0
2 0 0
1 2 2
1 0 1
0 1 2
0 1 0
2 0 1
1 0 0
10 9
1 3 2
3 0 3
1 1 2
0 3 2
1 3 3
3 2 0
1 0 3
0 1 0
1 2 1
0 3 3
10 2
0 1 2
1 2 1
2 0 0
0 2 1
0 1 0
0 0 1
0 2 2
2 1 1
2 0 2
0 1 1
10 3
2 0 1
2 2 0
1 0 3
2 3 0
0 0 2
1 2 1
0 1 0
3 3 0
0 3 1
0 0 1
10 8
0 1 2
2 0 0
1 1 0
2 2 0
2 1 0
0 2 2
2 2 2
0 0 1
1 0 1
0 0 2
10 8
1 2 2
0 3 0
3 3 0
0 0 1
1 2 1
1 2 3
0 3 1
1 1 2
1 3 1
3 0 1
10 5
1 1 2
2 1 1
2 2 1
2 2 2
2 0 0
2 0 1
0 1 2
0 0 2
2 2 0
0 0 1
10 8
0 0 2
2 3 0
0 0 1
1 3 0
1 2 3
3 2 2
0 2 2
3 3 2
2 3 3
3 3 1
10 8
2 3 3
0 3 1
1 3 1
0 0 2
3 3 1
1 0 2
3 1 0
2 3 1
1 0 0
0 2 1
10 2
1 1 1
0 2 2
0 2 1
1 0 2
2 0 2
3 1 3
1 3 3
1 0 0
3 0 1
3 1 2
10 5
1 2 1
2 0 3
1 3 1
2 1 1
0 2 3
3 1 3
1 1 1
1 0 3
0 2 0
2 3 0
10 9
0 0 1
2 0 0
1 2 1
0 1 1
0 2 1
2 1 2
2 1 1
2 0 1
2 2 2
1 1 1
10 3
0 3 2
2 0 0
0 1 3
1 1 2
1 2 2
0 3 3
2 2 1
0 1 0
3 2 2
2 3 0
10 5
1 3 0
3 0 2
0 3 1
3 2 3
2 1 3
3 0 0
3 2 2
3 3 1
3 1 3
3 3 2
10 6
1 2 1
1 1 2
2 0 0
0 0 1
0 2 2
2 2 0
1 2 2
2 0 1
1 1 0
1 0 2
10 5
1 1 0
0 0 1
2 2 2
2 2 1
2 1 2
2 2 0
1 1 1
1 2 2
2 1 1
1 0 2
10 4
0 1 3
0 3 3
3 0 1
2 0 2
3 1 2
2 1 3
1 0 3
0 0 1
3 2 2
0 3 1
10 8
1 2 2
1 0 0
1 3 3
2 3 2
0 2 1
2 2 0
0 1 3
0 2 0
1 1 3
3 2 1
10 9
1 1 2
0 1 1
3 2 3
3 1 1
0 3 1
3 3 1
3 3 2
0 3 2
1 2 0
0 0 0
10 8
1 2 0
2 2 1
2 1 0
0 0 1
2 2 0
1 1 0
0 1 0
0 2 2
2 0 0
0 2 0
10 2
0 0 2
2 2 2
1 1 2
2 0 2
1 0 1
1 2 2
0 2 1
1 0 0
2 2 0
1 1 0
10 9
0 2 1
2 2 2
0 0 2
0 1 2
1 1 1
2 0 0
2 1 2
0 2 0
2 0 2
0 0 0
10 2
2 1 0
2 1 1
1 1 2
0 2 0
0 0 0
0 2 2
0 1 0
1 0 2
0 1 2
2 2 1
10 7
3 2 3
0 2 1
0 1 1
2 1 1
1 2 1
3 1 3
0 1 2
0 0 0
1 0 1
0 2 3
10 4
0 0 2
3 2 0
3 1 2
0 0 0
1 3 3
1 0 2
0 0 3
1 3 0
1 2 3
3 1 1
10 6
1 2 0
0 0 0
2 1 0
2 1 2
0 1 0
2 2 0
2 2 1
0 1 1
1 0 0
0 0 1
10 4
3 2 1
0 2 3
3 0 2
1 2 1
1 0 1
0 1 0
3 1 3
0 2 1
3 0 1
2 2 2
10 8
0 1 2
2 2 2
0 1 1
2 1 1
0 2 1
2 1 0
1 0 1
2 0 1
0 2 2
2 1 2
10 7
1 1 1
0 1 0
1 0 0
0 2 0
1 1 2
0 0 1
1 0 2
2 0 2
0 2 1
0 1 2
10 9
1 1 0
0 3 2
0 3 1
0 3 0
2 3 1
3 1 3
1 0 3
2 2 2
1 3 2
3 1 1
10 9
0 2 0
0 0 1
3 0 1
0 3 0
1 2 1
1 0 0
0 2 1
2 3 0
3 2 1
0 0 3
10 9
3 1 3
3 2 1
3 3 0
1 3 2
2 3 3
0 2 0
1 2 1
1 0 0
2 0 1
2 0 3
10 2
1 1 1
2 0 2
1 0 2
2 2 2
0 2 1
0 1 2
1 2 1
1 1 2
2 1 1
1 1 0
10 7
3 0 2
3 1 2
1 2 3
0 0 3
2 3 0
3 0 3
0 2 2
0 1 0
2 1 0
2 3 3
10 4
3 0 1
2 3 3
3 1 0
2 1 1
3 3 0
1 2 0
3 3 2
0 0 2
3 2 0
3 3 1
10 9
0 2 0
2 0 0
1 1 0
0 1 1
1 0 0
2 2 0
1 2 0
1 0 1
2 2 2
0 0 1
10 8
0 0 2
1 1 2
1 0 0
1 2 1
2 2 2
0 0 0
1 1 0
0 2 1
0 1 0
1 2 0
10 8
2 1 1
1 0 1
2 2 2
1 1 1
0 0 2
1 1 2
0 2 0
2 0 1
0 1 0
2 2 1
10 6
2 1 0
0 2 1
0 1 0
1 1 2
1 0 1
2 1 2
1 2 2
0 1 1
0 0 0
0 1 2
10 3
2 1 2
1 2 1
2 0 2
0 1 1
0 0 2
2 0 0
0 2 1
0 0 0
2 2 2
1 0 2
10 6
2 2 1
2 2 0
2 1 2
1 0 1
1 0 0
1 1 1
0 0 1
0 2 0
0 1 2
1 2 1
10 5
1 0 2
2 0 2
1 2 1
1 1 2
2 2 0
1 1 0
2 0 1
0 0 1
0 1 2
2 1 2
10 7
2 2 0
1 1 1
0 0 2
0 2 2
1 2 0
0 2 0
0 1 1
2 1 1
2 0 1
1 2 2
10 7
1 2 0
1 1 0
2 1 1
1 1 1
2 2 0
2 2 1
2 1 2
0 0 0
0 2 2
1 0 0
10 8
3 0 1
2 1 1
0 3 2
1 0 3
2 1 0
2 0 2
2 0 0
3 1 2
2 1 3
3 3 0
10 7
0 1 0
0 1 3
0 3 3
2 0 1
0 1 1
0 0 3
3 0 2
1 0 3
3 2 2
3 1 1
10 9
0 2 1
2 0 2
2 0 0
2 1 1
0 0 0
0 0 2
1 2 0
0 1 1
1 2 1
0 0 1
10 4
2 2 1
1 1 0
1 2 2
2 2 0
1 2 1
2 0 2
1 0 1
2 0 1
1 1 2
0 0 2
10 5
3 0 2
0 1 3
2 3 3
0 2 0
2 0 0
0 0 1
0 1 0
1 1 0
1 3 0
2 3 0
10 3
1 2 2
2 0 1
0 1 2
2 2 0
1 0 2
2 2 1
1 0 1
1 1 0
2 2 2
0 2 1
10 6
1 2 2
0 2 0
0 1 0
1 0 2
2 1 0
2 0 0
1 2 1
1 2 0
0 2 1
0 1 2
10 8
0 3 3
0 1 0
2 2 0
3 1 1
1 3 1
3 1 2
1 0 0
3 3 2
1 2 0
0 1 3
10 7
0 2 3
2 0 1
3 1 2
2 1 2
0 0 0
1 1 0
1 0 2
1 2 2
1 0 0
1 3 3
10 8
1 2 2
1 3 1
1 0 1
0 2 3
2 1 2
1 1 3
0 0 2
3 0 1
2 2 0
2 0 1
10 9
3 2 2
3 3 2
3 3 0
0 3 0
0 2 2
1 0 2
2 0 3
2 1 2
1 1 1
3 1 2
10 8
0 0 1
1 1 0
1 2 2
1 1 2
2 0 1
0 2 2
2 1 2
1 2 1
2 1 1
0 1 2
10 4
2 1 2
0 2 3
2 0 0
0 3 1
2 1 0
3 3 2
2 3 0
0 3 0
2 3 1
1 0 1
10 8
1 3 0
3 0 1
3 0 2
2 0 0
0 3 1
2 2 0
1 2 0
0 0 3
3 3 3
1 2 2
10 9
0 1 1
3 3 0
2 1 2
3 2 0
1 3 0
2 2 3
2 3 0
0 3 2
3 0 0
3 0 1
10 3
0 1 0
2 2 0
1 1 1
2 1 1
0 0 1
1 2 2
1 2 0
1 0 1
0 0 0
0 2 2
10 4
1 0 1
2 1 2
1 2 1
2 2 2
0 1 1
0 1 0
1 2 2
2 1 0
1 0 2
0 0 1
10 2
2 1 2
2 0 1
0 2 0
1 1 1
2 1 0
0 1 0
1 2 1
2 0 0
0 2 1
0 2 2
10 7
1 2 2
2 3 2
2 1 0
3 2 3
3 1 3
0 0 1
2 1 1
1 0 2
0 0 0
1 1 3
10 2
2 0 1
2 0 3
1 3 3
0 3 0
1 3 0
3 3 3
0 2 3
1 3 2
3 0 2
2 1 1
10 3
3 3 1
0 2 1
3 2 3
3 1 0
2 2 3
2 1 1
0 0 0
0 3 2
3 1 3
3 0 2
10 6
0 2 1
2 1 0
1 0 0
2 2 1
1 1 1
2 0 1
1 0 2
0 0 1
0 2 2
2 1 2
10 9
1 1 1
3 2 3
0 1 0
3 2 0
0 2 3
1 2 3
1 0 1
1 2 2
2 2 0
0 0 1
10 9
2 3 2
2 1 0
0 2 3
0 2 2
3 0 1
2 1 3
2 1 1
3 3 2
3 0 3
2 3 0
10 7
2 1 2
0 0 2
1 1 2
0 2 0
1 2 2
1 2 1
2 2 2
2 1 1
0 2 1
1 0 2
10 3
1 2 0
2 1 2
0 1 1
1 1 2
1 0 2
1 2 1
0 0 2
0 1 2
0 2 1
2 0 0
10 5
0 0 1
2 1 1
1 0 2
2 0 0
2 2 2
1 2 2
1 0 0
2 1 0
1 2 1
1 1 2
10 6
0 2 1
0 0 0
0 3 1
2 2 3
2 2 2
1 1 1
3 1 3
1 2 3
0 0 2
0 2 3
10 2
1 2 0
1 2 1
0 2 2
0 0 2
0 1 2
1 1 2
2 0 1
1 0 1
2 0 2
0 2 0
10 7
2 3 2
1 3 1
2 1 3
0 1 2
0 2 1
0 2 2
1 2 2
0 1 1
3 0 2
3 0 0
10 2
0 0 0
2 1 0
2 0 1
1 0 2
0 0 2
1 1 1
2 2 2
1 2 1
0 2 2
1 0 1
10 3
1 0 1
1 2 0
0 2 1
1 0 2
1 1 2
2 2 0
2 0 1
0 0 0
1 1 0
1 1 1
10 7
1 1 2
0 1 0
1 2 1
0 2 1
0 0 1
0 1 2
2 0 1
2 2 0
2 1 0
1 1 1
10 4
2 2 1
1 1 2
2 0 2
0 0 0
1 2 0
2 1 1
0 2 0
1 1 0
2 1 2
2 0 1
10 3
2 1 2
1 2 2
0 2 1
0 2 0
2 1 1
1 0 2
1 0 1
2 2 2
0 0 2
0 1 0
10 5
2 0 3
1 1 2
1 2 0
2 0 1
2 0 2
3 1 3
0 2 3
1 1 1
3 3 1
0 0 2
10 8
2 0 1
2 2 2
0 2 1
1 2 0
0 1 2
0 1 0
1 0 2
1 1 1
1 1 0
1 2 1
10 9
2 2 0
0 0 0
1 2 1
0 1 0
1 2 2
2 2 2
0 1 1
1 0 1
2 1 2
2 1 1
10 3
2 2 0
0 1 2
0 0 1
2 1 0
1 1 1
2 2 1
2 1 2
0 1 1
0 2 0
1 0 0
10 5
2 2 2
0 2 2
2 0 2
0 1 3
1 3 1
2 3 0
2 2 0
3 3 2
0 1 0
2 0 1
10 5
3 2 2
3 0 2
0 0 1
3 0 1
2 1 2
0 3 3
0 0 0
1 3 0
0 1 0
3 2 0
10 7
0 0 2
0 1 0
1 0 2
0 0 0
1 1 1
2 2 2
0 2 1
2 2 0
1 2 0
2 2 1
10 6
1 0 0
2 0 0
2 2 2
2 0 1
0 1 0
0 0 2
1 2 0
0 2 2
0 1 2
2 1 0
10 7
1 0 2
1 0 3
3 2 1
2 3 0
3 1 0
0 0 3
3 0 1
3 3 2
3 0 3
1 2 3
10 6
3 1 0
1 2 2
0 1 1
1 3 0
2 3 3
0 0 3
0 1 2
1 1 3
3 2 3
0 3 3
10 5
0 3 0
0 2 2
2 1 2
0 1 0
0 0 0
1 3 2
2 2 0
2 2 3
1 2 2
3 1 0
10 2
1 1 2
0 2 2
0 0 0
0 0 1
0 0 2
0 1 1
2 0 2
2 1 1
2 2 0
1 0 1
10 9
2 2 3
0 3 3
1 2 2
1 0 2
1 2 1
0 2 0
3 3 0
2 3 1
3 0 3
3 3 1
10 7
2 2 0
0 2 1
2 2 1
1 0 2
2 0 0
1 0 1
2 0 1
1 0 0
1 1 2
1 1 1
10 2
2 3 1
0 3 3
0 3 1
3 1 2
0 0 2
1 3 0
0 3 0
2 3 0
2 0 2
2 2 3
10 2
1 2 2
1 2 1
0 0 0
2 1 0
2 0 2
1 2 0
1 0 2
0 2 2
2 0 0
0 1 0
10 3
1 0 2
1 2 1
2 0 1
1 1 1
2 1 2
1 0 1
2 0 0
1 0 0
1 1 0
0 1 0
10 7
3 0 0
2 1 1
0 0 1
0 3 2
2 0 2
2 3 0
3 3 1
3 3 0
1 0 2
1 2 3
10 4
2 1 1
0 1 0
1 1 2
2 2 1
0 1 1
0 0 1
0 1 2
2 2 2
1 2 0
0 0 2
10 5
1 0 1
1 1 0
2 0 2
0 3 0
3 3 2
0 2 1
0 0 0
3 3 3
2 2 1
2 3 1
10 8
0 2 2
0 1 1
1 1 1
2 1 2
1 2 0
1 0 1
0 0 1
2 2 0
0 0 0
0 0 2
10 2
2 0 2
3 0 0
1 3 1
0 2 2
2 1 2
3 3 2
1 1 3
1 1 0
2 2 0
3 2 1
10 8
3 2 2
1 0 1
2 1 2
0 0 2
2 2 0
1 1 0
3 1 2
1 2 2
2 3 3
0 2 1
10 3
0 1 2
0 2 1
2 0 1
2 1 1
1 2 2
1 2 0
0 0 1
2 0 0
0 1 0
0 1 1
10 3
0 3 0
2 2 0
3 1 3
0 2 1
2 3 3
1 3 1
2 3 0
3 1 2
0 1 0
0 0 2
10 2
1 0 0
2 0 2
0 1 0
0 0 2
0 0 0
1 1 1
2 0 1
2 0 0
2 2 0
0 2 1
10 3
0 1 0
2 1 0
1 1 0
0 2 0
0 1 2
1 2 1
0 2 1
2 0 2
2 2 0
0 0 1
10 5
0 3 1
2 2 3
2 3 3
0 3 3
3 2 0
3 2 1
1 1 1
2 1 0
1 0 0
3 1 1
10 3
1 0 1
3 0 2
0 0 3
0 2 0
3 3 3
2 2 2
1 0 0
3 1 2
1 0 3
1 3 1
10 6
3 1 3
3 2 3
3 0 3
1 3 0
3 0 1
3 1 1
2 0 3
0 0 2
3 0 2
1 2 0
10 9
2 1 1
3 2 2
2 3 3
3 1 0
2 2 2
3 3 1
1 0 3
0 1 1
3 0 2
0 0 1
10 5
0 1 3
1 2 1
3 2 1
2 3 2
0 0 1
0 0 3
1 2 2
2 2 2
3 2 3
2 1 2
10 3
0 0 0
1 2 1
2 0 1
0 2 1
1 0 0
2 1 1
0 1 0
0 0 1
1 1 0
0 1 1
10 8
0 3 0
3 1 2
1 1 1
1 0 0
0 1 2
0 0 0
3 2 1
0 2 3
2 1 3
3 0 2
10 9
2 2 1
2 1 1
0 1 0
1 0 0
2 0 1
1 1 2
0 0 1
0 1 2
0 0 0
0 1 1
10 3
3 3 0
3 0 3
0 1 3
2 3 1
2 2 1
1 3 2
0 1 2
0 0 3
0 3 0
2 2 2
10 5
1 0 2
0 1 0
0 2 1
0 1 1
0 2 0
2 0 2
2 1 1
2 0 1
0 1 2
1 2 0
10 9
1 2 2
2 0 3
1 0 2
1 1 0
0 3 3
1 3 1
3 3 2
1 2 1
0 0 1
0 3 1
10 6
0 2 0
1 0 2
1 0 0
2 2 2
0 1 0
1 1 0
2 2 1
1 2 0
2 0 2
2 0 1
10 9
1 1 2
0 0 2
0 0 1
2 1 1
0 2 2
0 1 1
1 1 1
0 2 1
2 0 0
2 2 2
10 6
0 2 0
2 2 2
1 0 1
2 2 1
0 1 1
1 1 0
0 0 1
0 1 2
2 1 1
0 2 2
10 8
1 0 1
0 1 0
0 1 1
2 0 1
0 2 1
0 2 0
0 0 0
2 1 2
1 2 1
2 2 0
10 2
1 1 0
0 1 2
0 2 2
0 2 1
1 2 0
1 2 2
0 1 0
2 1 2
2 0 2
2 1 0
10 6
3 3 3
2 0 1
2 3 3
3 0 2
0 3 0
0 1 0
3 0 3
2 0 2
1 0 1
3 2 3
10 5
3 1 3
0 0 0
0 1 2
3 3 2
0 3 1
3 2 0
1 1 0
3 2 1
0 0 3
1 2 0
10 6
3 2 3
1 0 0
3 3 0
2 2 3
2 2 0
1 3 0
3 0 0
2 3 0
1 2 1
1 2 3
10 9
1 1 0
1 2 0
2 2 1
1 2 1
1 0 0
1 1 1
0 0 2
2 1 1
2 1 2
0 2 1
10 4
0 1 3
1 1 3
0 3 1
2 1 1
1 2 3
0 1 1
1 1 2
2 1 3
1 2 2
3 0 1
10 2
3 3 0
3 3 3
3 0 3
0 3 3
0 3 2
0 0 3
3 0 1
1 1 1
0 0 1
1 0 2
10 3
1 3 0
0 0 2
3 3 3
3 1 3
2 3 1
3 0 3
2 3 2
3 0 1
2 0 1
3 2 3
10 8
2 1 1
0 2 0
2 2 1
1 3 3
3 2 2
0 3 1
3 3 1
3 3 0
1 3 2
3 1 2
10 2
1 0 1
1 2 2
1 0 2
2 2 0
0 0 2
1 2 0
0 2 2
1 2 1
2 0 2
0 1 0
10 3
0 3 1
2 2 0
3 0 2
1 1 0
2 1 2
0 2 3
1 3 2
2 2 1
1 1 3
0 3 0
10 7
3 3 1
1 2 2
3 2 2
2 1 1
2 0 3
3 0 3
0 2 2
0 3 3
1 2 0
0 3 0
10 2
1 0 3
3 2 0
2 1 0
2 0 1
3 2 3
3 1 2
1 1 0
1 2 3
0 0 3
2 3 0
10 6
1 2 1
2 0 1
1 2 2
2 1 2
0 2 1
0 1 0
1 0 2
2 0 0
0 0 1
2 0 2
10 8
0 0 0
0 1 0
2 0 1
0 1 1
1 2 0
2 2 2
0 0 2
2 1 2
0 1 2
2 1 0
10 2
2 1 3
0 1 2
3 1 1
1 1 3
3 3 1
2 2 2
2 1 0
1 0 1
1 2 2
0 0 0
10 8
1 2 2
3 0 1
3 0 3
2 3 1
0 3 1
2 2 1
1 0 3
0 1 1
1 2 0
2 1 2
10 4
1 2 0
1 0 2
2 2 1
0 0 1
0 0 2
1 1 2
0 1 1
1 2 1
0 2 2
2 1 1
10 9
0 2 1
1 2 2
1 0 2
2 1 2
1 2 0
0 0 2
0 1 0
1 1 1
2 1 0
1 1 2
10 6
0 1 2
2 3 1
1 0 1
1 0 0
3 2 3
3 0 2
3 0 3
3 3 3
2 1 0
2 1 1
10 6
1 0 3
2 3 3
2 1 2
0 3 0
0 1 0
3 2 2
2 0 0
1 2 0
0 3 2
3 0 2
10 5
1 2 1
2 0 1
1 1 1
0 1 1
0 1 2
2 2 1
1 1 0
1 0 2
1 2 0
0 0 2
10 5
1 0 0
0 1 2
0 2 1
0 2 0
2 2 0
1 2 0
1 0 2
0 1 1
0 1 0
2 2 2
10 9
1 1 3
1 3 2
0 3 3
3 2 2
2 1 2
3 0 2
1 0 1
2 0 3
3 2 0
1 2 0
10 3
1 2 1
0 0 0
0 0 1
0 2 2
0 1 2
0 1 0
1 1 2
0 2 1
1 2 2
2 1 1
10 3
2 1 0
0 2 1
2 2 1
2 1 1
1 2 1
1 1 1
1 2 0
0 0 1
0 1 1
0 2 0
10 4
2 1 1
2 2 1
1 1 2
0 0 0
1 0 2
2 1 0
1 2 2
1 1 1
2 0 0
0 0 1
10 4
1 1 3
2 2 2
0 1 0
1 0 3
1 2 2
1 0 2
3 3 3
2 3 3
2 1 3
0 1 1
10 7
1 0 0
2 3 0
1 1 3
1 1 0
3 3 0
2 0 3
1 0 1
0 0 2
2 0 1
1 3 3
10 3
1 2 1
1 2 2
2 1 0
1 1 0
0 0 0
0 2 2
2 2 0
0 1 0
2 0 0
0 1 2
10 5
1 2 2
3 2 2
1 1 3
2 3 2
2 1 0
1 3 0
2 2 0
3 1 3
2 3 1
3 2 0
10 9
2 0 0
0 0 1
1 3 2
0 0 0
3 2 1
2 3 0
0 1 1
3 2 0
1 1 2
0 2 2
10 4
1 3 0
0 0 0
0 2 0
3 0 0
1 3 3
3 3 1
1 0 0
3 3 3
0 2 3
2 1 3
10 6
0 3 2
3 2 0
1 1 2
2 1 1
1 1 3
2 2 0
0 2 1
0 2 2
3 1 2
0 1 0
10 4
2 0 2
2 0 0
0 3 2
0 0 3
3 3 0
2 0 1
3 2 3
3 2 2
0 2 3
2 3 0
10 8
1 1 3
1 3 2
1 0 3
0 0 3
2 1 3
2 3 3
3 1 1
2 2 2
3 0 3
2 0 0
10 7
1 0 0
0 0 2
2 1 0
2 2 1
1 1 2
2 0 2
2 2 0
1 0 1
0 1 2
1 2 1
10 6
3 0 0
1 1 1
3 2 1
2 2 1
2 0 0
1 0 3
0 0 0
1 0 2
0 1 1
1 3 0
10 3
3 1 0
1 1 2
2 2 2
3 2 3
2 0 0
0 0 0
0 2 0
0 0 2
3 0 1
0 3 2
10 9
3 2 2
3 2 3
2 0 1
0 3 2
2 3 0
3 0 0
3 3 3
3 0 3
1 2 3
3 1 3
10 8
0 2 1
1 1 2
0 0 2
2 0 1
0 2 0
0 0 1
0 1 1
2 2 2
1 0 0
1 0 2
10 8
0 1 3
0 3 0
3 2 3
2 1 3
1 3 1
2 2 0
3 0 0
0 0 2
2 3 1
2 3 2
10 6
1 1 1
0 1 1
0 2 2
2 1 1
1 0 2
2 2 0
2 0 1
1 2 0
1 0 0
2 1 2
10 7
1 0 1
1 3 3
2 3 0
1 3 1
2 0 2
3 2 2
0 1 2
0 3 3
2 1 2
0 0 2
10 2
2 1 1
0 2 0
1 1 0
0 1 2
2 1 2
0 2 1
2 0 1
2 0 2
2 0 0
1 2 2
10 3
3 2 2
2 1 1
3 3 1
0 3 0
1 0 1
1 0 2
2 2 0
0 0 0
0 3 1
3 3 3
10 2
1 0 0
0 2 0
2 0 0
0 1 2
0 0 0
1 0 1
2 0 2
1 1 1
2 2 1
0 0 1
10 8
1 1 0
0 1 2
2 1 0
2 2 2
2 2 1
1 1 1
2 0 2
1 2 2
1 0 2
2 2 0
10 6
0 2 3
1 1 1
0 2 0
0 0 0
3 3 0
2 3 0
2 0 0
1 3 1
3 1 2
3 2 2
10 8
0 2 0
2 0 2
1 2 2
1 0 1
2 1 1
2 2 0
2 0 1
0 2 2
1 1 2
0 2 1
10 9
1 0 2
0 0 2
1 3 2
2 1 3
2 1 1
0 2 0
3 2 0
1 0 3
3 3 3
3 0 3
10 3
1 2 0
1 1 1
2 2 2
2 1 1
2 2 1
1 1 0
3 0 3
1 3 1
1 0 3
2 3 3
10 6
0 0 1
0 2 2
1 2 1
0 1 1
2 0 0
0 0 2
2 0 1
1 0 0
2 0 2
1 0 1
10 9
1 1 0
0 1 2
1 2 1
1 2 2
2 1 0
1 1 2
2 1 2
0 0 1
2 2 1
2 0 2
10 3
1 0 1
0 2 2
1 1 0
0 2 0
1 1 2
2 0 1
2 0 2
0 1 0
2 1 0
0 1 1
10 4
3 3 0
0 3 3
3 0 0
1 3 3
2 2 0
0 1 0
3 3 3
1 2 1
1 0 3
1 3 0
10 2
2 2 0
1 0 2
2 1 1
1 0 0
0 1 1
0 2 1
2 0 2
1 2 1
0 0 2
0 2 0
10 2
2 0 2
1 2 0
0 0 0
2 0 1
2 2 0
2 0 0
0 2 0
0 1 0
2 1 0
1 1 0
10 8
1 2 1
1 1 2
0 0 2
1 2 0
0 1 2
2 2 0
1 1 0
2 1 0
1 0 0
0 1 0
10 9
0 2 2
0 0 0
0 2 0
2 1 1
0 1 1
2 2 2
1 1 0
2 1 2
1 2 0
1 2 2
10 5
2 0 2
1 2 2
2 0 1
2 2 0
1 0 0
0 1 0
2 1 0
1 1 2
2 1 1
0 2 1
10 9
0 0 0
1 1 3
3 1 0
2 1 3
2 0 0
2 3 2
0 0 1
0 1 3
3 2 1
1 3 2
10 7
1 0 1
1 0 0
0 0 1
1 2 0
0 1 2
2 0 1
0 2 1
2 1 1
0 1 0
2 1 0
10 4
1 2 2
0 0 1
2 1 0
2 0 0
2 1 1
1 2 0
0 2 1
0 2 0
0 0 2
1 2 1
10 7
2 0 0
1 2 2
2 2 2
1 2 0
2 2 0
0 2 0
1 1 0
1 0 0
2 1 1
0 2 1
10 6
3 1 3
2 3 2
2 2 0
0 0 3
1 2 0
3 0 0
1 3 1
2 0 3
0 1 0
3 3 1
10 7
0 1 1
1 1 0
2 2 1
2 1 2
0 2 2
0 2 0
1 2 1
0 2 1
1 0 1
2 0 0
10 8
0 1 1
0 1 2
3 0 2
1 2 3
0 2 0
2 3 0
3 3 2
3 2 2
3 1 1
2 3 1
10 5
0 2 0
2 1 1
1 0 1
3 1 1
1 0 3
0 2 3
1 1 3
3 2 3
2 1 0
0 0 1
10 3
1 1 2
2 1 2
0 1 2
2 1 1
1 2 2
2 2 0
0 0 0
1 1 0
2 0 0
1 0 2
10 7
0 3 3
0 0 1
0 3 1
2 2 0
2 3 0
0 1 1
1 0 1
0 1 3
2 0 2
3 0 0
10 5
1 0 0
0 0 0
1 2 0
2 1 0
1 1 2
0 1 0
2 2 1
2 0 1
1 0 2
0 2 2
10 5
3 1 1
3 3 1
1 2 2
2 3 2
0 3 2
0 2 1
0 1 3
0 3 0
2 0 1
1 0 1
10 9
1 1 1
2 2 1
2 0 0
1 2 1
0 1 1
2 2 0
0 1 0
2 0 2
0 2 0
2 1 1
10 8
3 2 2
2 3 3
3 3 1
0 3 3
2 2 1
0 1 3
2 2 0
2 0 1
1 2 0
0 2 1
10 2
2 1 1
0 1 0
2 2 1
0 0 2
1 1 0
0 2 1
2 1 0
2 0 0
1 0 1
0 2 0
10 2
2 0 2
0 2 2
0 2 1
2 1 0
1 2 2
0 0 1
2 2 1
0 0 0
1 1 0
1 0 0
10 6
0 0 0
1 3 3
2 2 1
2 2 3
1 0 0
1 2 2
3 3 1
1 0 3
2 0 3
0 2 3
10 5
2 0 0
2 1 0
0 0 0
2 2 1
2 0 1
1 2 2
2 2 2
1 0 2
0 2 1
1 2 0
10 9
2 2 1
2 2 0
2 1 0
0 1 0
3 1 3
1 3 2
3 0 3
0 2 2
2 3 1
3 2 2
10 5
0 1 2
1 1 2
2 1 0
0 1 1
0 0 0
0 2 2
1 1 1
1 0 1
1 1 0
2 0 0
10 4
0 0 2
0 2 1
2 2 0
2 1 2
1 2 2
2 2 1
0 1 0
0 1 1
2 2 2
1 0 0
10 2
1 2 0
0 1 2
2 0 2
1 1 1
0 2 0
1 1 2
2 1 2
0 2 2
1 2 2
2 1 0
10 2
1 1 0
2 2 0
2 2 2
1 2 0
0 1 1
1 1 2
0 1 2
0 0 1
1 1 1
2 1 1
10 2
3 2 0
2 0 3
3 3 2
1 0 3
2 3 2
2 1 0
1 0 2
0 2 1
3 0 2
0 3 2
10 3
0 2 0
1 2 0
1 0 2
0 0 0
2 0 0
1 2 1
2 1 0
0 2 1
1 1 2
2 0 1
10 9
2 0 1
0 2 0
0 1 2
1 2 2
2 1 2
1 0 2
1 0 1
0 2 1
1 1 1
0 1 1
10 3
0 0 2
2 1 1
2 2 0
2 1 0
0 1 2
0 2 0
2 2 2
1 2 2
1 0 1
1 1 1
10 7
2 0 2
1 0 1
0 2 0
2 0 0
2 0 1
0 2 1
2 2 2
0 0 0
0 1 1
2 2 1
10 9
2 2 1
0 3 2
0 1 3
1 1 3
2 3 0
0 1 1
3 0 0
0 0 3
0 2 3
2 2 2
10 7
1 1 1
0 1 1
0 2 2
2 2 1
2 1 2
2 1 0
1 0 0
0 2 0
0 0 2
1 1 0
10 2
3 1 0
1 0 3
2 3 2
1 3 0
3 1 2
3 1 1
1 1 2
3 0 3
0 3 2
1 1 3
10 9
1 1 1
0 2 0
1 1 2
0 1 0
1 2 1
2 0 0
0 0 0
1 2 2
0 2 1
1 2 0
10 3
0 0 3
2 2 2
3 3 2
3 1 2
0 0 1
1 3 2
1 1 0
0 2 3
2 2 3
2 0 1
10 7
2 1 0
0 0 1
0 1 2
2 3 2
0 3 3
3 0 1
0 3 2
1 2 0
3 1 1
3 1 0
10 6
1 1 1
1 0 1
0 2 1
2 2 2
2 1 2
2 1 1
0 1 0
1 1 2
1 2 0
1 0 0
10 7
3 0 2
1 0 0
1 2 0
1 1 0
2 2 1
2 3 1
2 0 0
2 2 3
2 1 2
3 1 0
10 3
1 2 2
3 3 1
3 3 0
0 1 3
0 1 2
3 3 3
1 1 2
3 0 3
2 2 2
3 1 2
10 5
2 3 2
2 2 0
3 1 3
0 2 0
1 3 3
1 3 2
1 1 3
2 1 1
2 3 0
1 3 0
10 3
1 0 2
1 1 0
1 1 1
1 2 2
1 0 1
0 1 1
0 0 0
2 1 1
2 0 1
2 2 2
10 5
0 3 0
3 2 0
3 3 0
1 1 2
3 2 2
0 3 3
2 0 2
3 3 2
0 2 1
1 2 0
10 5
0 3 0
1 1 2
2 3 1
3 2 0
1 2 2
2 3 3
2 0 2
0 1 2
1 2 0
1 3 3
10 9
0 0 2
1 2 0
2 1 0
0 2 0
2 2 2
2 2 0
2 0 2
1 1 0
0 1 2
2 0 1
10 3
1 1 0
1 1 1
1 0 0
2 1 2
2 2 2
0 2 1
2 2 1
2 2 0
1 2 2
2 0 1
10 9
2 0 1
3 0 1
2 2 0
0 2 1
2 2 3
1 0 3
1 3 1
0 0 1
3 2 0
3 0 3
10 8
0 1 3
3 1 1
1 1 2
0 2 3
3 3 1
3 3 2
2 2 0
2 2 1
3 1 0
1 0 3
10 2
2 0 1
3 3 0
1 2 2
3 3 1
0 3 0
1 1 1
1 1 3
3 0 0
3 1 2
2 1 3
10 5
2 3 0
0 0 1
3 2 0
3 3 2
3 0 0
1 1 0
1 2 1
1 3 3
3 1 1
3 1 3
10 8
2 1 2
0 1 1
1 1 2
2 0 1
0 0 2
0 2 0
1 0 2
0 1 0
0 1 2
2 0 2
10 5
1 0 2
2 2 2
2 0 2
2 1 2
1 0 1
0 0 0
0 2 1
0 2 0
2 2 1
0 1 1
10 4
0 3 2
2 2 0
3 0 3
0 2 0
0 0 2
2 2 2
2 3 2
1 3 3
2 1 0
1 2 0
10 6
0 2 2
0 1 1
1 2 1
1 1 0
2 1 1
2 0 1
1 2 0
1 0 1
2 2 0
2 0 2
10 8
0 2 2
1 0 1
1 1 0
1 0 0
0 1 1
0 2 1
0 0 0
1 1 2
1 2 2
1 2 0
10 9
1 0 0
0 3 2
1 3 3
2 3 3
1 1 2
0 0 3
3 3 3
2 3 1
2 3 0
0 2 1
10 9
1 0 2
2 2 2
1 1 2
2 2 1
2 0 1
0 0 1
1 1 0
2 2 0
1 2 1
0 1 0
10 2
2 2 3
1 3 1
1 1 3
0 2 0
2 0 2
3 0 1
2 1 1
0 1 2
1 3 3
2 3 3
10 6
0 3 2
2 2 0
2 2 3
1 3 3
1 1 1
3 1 3
1 3 1
3 3 1
2 1 2
3 2 2
10 6
3 0 3
1 0 2
2 0 1
0 2 2
1 1 0
0 3 0
2 2 0
1 0 0
0 1 2
3 0 2
10 7
0 0 0
0 1 1
0 0 1
1 1 1
2 2 1
1 1 2
0 2 0
2 1 1
1 0 2
2 1 0
10 9
1 0 2
2 2 3
2 0 0
2 0 3
2 1 1
1 2 0
1 0 3
3 2 3
0 3 2
3 2 0
10 5
1 0 2
0 1 3
3 1 0
3 3 3
2 3 0
0 1 1
3 2 3
0 1 0
2 1 0
1 3 3
10 8
1 1 0
0 1 0
1 2 0
0 2 1
0 2 2
1 1 1
0 1 1
1 1 2
0 0 1
1 0 0
10 3
3 1 3
3 1 0
2 1 0
3 3 3
3 2 3
0 2 0
3 2 0
2 0 1
3 1 2
2 1 1
10 5
2 2 1
2 0 1
0 0 2
0 2 2
1 1 2
1 2 0
1 2 1
2 1 2
1 2 2
0 1 2
10 4
0 2 0
1 2 0
2 2 1
2 1 2
2 1 0
1 2 2
1 0 1
1 1 0
2 0 2
2 0 0
10 7
1 1 2
0 0 1
0 0 2
2 0 2
1 0 0
0 1 2
2 2 0
2 1 1
1 2 0
0 1 1
10 3
0 1 2
1 2 2
1 0 2
0 1 0
0 2 2
0 0 0
2 1 0
1 0 1
1 1 1
1 2 0
10 9
2 0 0
0 0 2
0 2 0
2 2 2
1 0 2
1 2 2
2 1 1
0 1 2
1 1 2
1 2 1
10 5
1 2 2
2 1 0
1 2 1
2 2 2
2 0 2
1 2 0
0 2 2
1 0 2
1 0 0
1 0 1
10 9
0 2 1
1 1 0
0 1 2
2 1 1
0 0 2
1 1 2
1 2 1
2 2 1
2 0 0
0 2 0
10 7
3 2 1
2 1 0
3 3 2
0 1 1
2 0 2
0 1 3
3 3 0
2 0 3
0 0 0
1 3 1
10 6
2 2 2
0 0 0
1 1 0
0 1 0
0 0 1
2 1 1
1 2 1
1 0 1
0 1 2
2 1 2
10 7
1 2 2
2 2 0
0 2 0
0 0 2
2 1 1
1 1 1
0 1 1
2 0 0
1 1 2
2 0 1
10 7
3 3 0
3 3 2
0 3 1
1 3 2
1 0 3
1 2 3
0 2 1
0 0 3
3 0 0
1 0 1
10 7
0 2 1
1 1 0
2 2 2
2 0 2
1 2 0
2 2 0
2 2 1
0 1 2
0 2 2
1 0 1
10 8
1 1 2
1 1 0
3 2 1
2 1 3
0 1 1
3 3 0
2 2 2
2 3 2
3 0 0
1 3 3
10 9
0 3 2
1 3 3
2 0 1
1 3 1
2 3 0
3 1 1
3 0 2
1 1 3
2 0 0
3 3 2
10 9
2 1 2
0 2 0
2 2 0
2 2 1
1 2 0
0 0 0
1 1 2
2 0 0
1 1 0
0 1 0
10 9
0 0 0
1 0 1
0 0 1
2 1 1
2 0 1
2 2 2
1 0 0
1 1 0
2 1 0
2 2 0
10 9
1 1 1
3 1 3
2 2 3
2 3 0
3 1 1
0 0 3
1 2 0
1 2 2
1 2 3
0 3 3
10 5
2 1 1
3 3 2
1 3 0
3 1 1
1 1 0
2 1 0
0 1 1
0 2 1
0 3 2
0 2 3
10 2
0 1 0
2 2 2
0 0 2
1 0 2
1 1 2
2 0 0
2 1 0
1 0 1
0 2 2
1 2 1
10 8
1 0 2
1 0 1
0 3 1
3 1 1
2 0 2
0 1 2
1 0 0
2 0 0
3 1 3
2 1 0
10 9
0 2 2
2 1 2
3 1 0
0 1 2
1 2 1
2 3 0
3 0 0
0 3 2
1 3 3
3 0 3
10 8
3 3 0
2 3 3
1 2 1
0 3 1
2 0 0
1 1 0
3 1 0
0 0 1
0 1 0
2 3 1
10 7
0 0 2
1 2 1
2 0 1
2 0 2
0 2 1
0 1 1
1 1 1
2 1 0
2 2 0
0 0 1
10 8
3 1 2
2 3 0
3 3 1
0 2 1
0 2 3
3 3 0
2 2 1
3 3 2
0 0 1
0 0 2
10 8
0 3 3
2 1 3
3 1 3
0 1 3
3 1 1
0 1 1
0 2 2
2 1 1
0 1 0
2 1 2
10 3
2 1 0
0 2 0
2 2 2
1 2 2
1 2 0
0 1 0
0 2 1
1 0 1
0 0 1
0 0 0
10 2
1 2 1
1 2 3
3 3 0
1 0 3
1 1 3
1 1 0
1 0 2
0 1 0
2 0 0
0 1 1
10 2
2 2 0
0 1 1
0 1 0
1 2 0
0 0 1
1 0 2
0 0 2
0 2 2
1 0 0
1 2 1
10 5
1 1 0
2 1 2
3 2 0
1 2 1
3 3 1
0 1 2
3 2 1
0 2 2
1 0 1
2 0 2
10 2
0 1 2
1 1 1
2 0 0
2 2 0
1 1 2
1 0 1
2 0 2
1 0 0
0 1 1
0 0 2
10 8
0 2 0
0 0 1
1 2 1
2 0 2
2 2 1
2 1 1
1 0 1
2 2 0
0 0 2
0 1 1
10 2
1 1 2
1 0 0
2 0 0
2 1 0
1 2 2
2 2 2
0 1 1
1 1 0
0 0 0
2 1 2
10 6
2 0 0
2 3 3
0 2 1
0 0 2
0 2 0
2 2 2
1 2 1
3 2 2
1 0 3
3 1 0
10 5
1 2 0
1 1 1
1 0 1
0 1 0
2 2 1
0 2 1
2 0 1
0 0 0
2 2 0
2 2 2
10 3
3 0 2
0 1 1
1 3 1
2 0 3
1 2 1
2 0 2
2 2 1
1 0 2
0 0 2
3 2 1
10 8
1 2 1
2 0 2
0 0 0
2 2 2
0 2 1
0 1 1
0 1 2
1 1 2
2 1 0
2 2 1
10 9
2 0 2
2 1 0
2 1 1
2 2 1
2 0 1
0 1 2
1 1 1
2 2 2
1 0 2
1 0 0
10 4
0 1 0
1 0 2
2 2 1
0 0 0
0 2 1
2 1 2
2 1 0
2 0 2
1 1 2
1 1 0
10 4
1 0 1
1 2 0
2 2 2
0 1 2
2 2 1
0 1 0
2 0 1
2 2 0
2 0 0
1 2 2
10 8
2 2 2
3 2 1
1 1 3
3 2 2
1 3 0
1 2 3
2 3 2
3 0 1
2 3 1
0 3 3
10 8
1 1 0
0 2 2
1 0 1
1 2 2
2 1 2
1 0 2
0 0 2
2 2 1
0 1 2
0 2 0
10 9
1 2 1
1 0 3
1 0 1
3 0 2
0 0 2
0 1 1
3 1 1
2 1 0
1 1 3
1 3 3
10 9
2 2 2
0 2 1
3 0 1
1 1 3
3 2 3
2 1 3
1 0 2
2 0 3
3 0 3
1 3 2
10 6
0 0 1
2 1 0
2 0 0
0 1 1
1 2 1
0 2 1
1 0 0
0 2 2
0 2 0
1 2 2
10 8
1 3 1
0 1 3
1 1 2
3 1 1
1 0 2
3 1 3
1 0 3
0 1 2
0 2 3
0 2 1
10 9
2 0 0
1 1 1
0 2 2
2 0 2
0 0 2
2 0 1
0 0 0
2 1 1
2 2 2
1 2 1
10 9
0 1 1
0 0 1
1 0 0
1 2 2
1 2 0
2 2 0
2 0 0
0 0 0
2 1 2
1 2 1
10 9
1 3 0
3 2 0
0 1 1
0 0 1
2 1 2
0 2 2
3 1 1
1 2 3
2 2 3
2 0 1
10 4
2 2 1
1 0 3
3 1 2
1 2 2
0 1 2
3 3 3
3 2 1
3 3 2
3 1 1
0 1 0
10 3
3 3 2
2 3 3
3 1 1
2 2 3
3 3 3
1 2 3
0 1 2
0 0 0
0 3 2
0 0 3
10 8
0 0 1
1 2 0
1 1 2
0 2 1
0 1 1
0 2 0
2 0 0
1 2 2
2 1 2
2 2 0
10 3
0 1 0
0 2 1
2 0 0
1 1 1
0 2 0
2 2 0
1 0 1
1 0 2
0 0 0
2 0 1
10 4
2 2 3
3 2 1
2 2 1
1 2 2
2 1 3
0 3 0
1 0 2
2 1 1
3 3 1
0 2 0
10 4
1 2 2
2 0 1
2 1 0
1 0 2
0 1 2
2 1 2
2 2 0
0 1 0
1 1 0
2 2 1
10 6
3 2 3
3 0 3
2 2 1
0 2 0
0 3 3
3 2 0
3 3 2
2 0 0
1 0 3
0 1 1
10 2
0 1 2
1 1 1
1 2 2
0 2 0
0 1 0
2 0 0
2 0 2
1 1 2
2 1 0
2 1 1
10 3
1 1 0
1 2 2
0 1 0
2 2 0
2 1 0
2 0 2
2 2 1
2 0 1
0 1 1
0 2 2
10 5
0 0 0
3 1 1
1 0 0
0 1 2
1 2 1
2 3 1
0 0 1
3 2 1
0 3 3
3 2 2
10 9
2 2 1
0 3 0
0 0 2
1 2 1
1 2 3
3 3 3
0 1 0
2 1 0
3 1 1
1 1 1
10 5
2 0 2
0 2 3
3 2 2
1 0 3
1 2 1
2 3 3
2 1 2
0 0 2
3 2 3
2 0 0
10 6
2 0 2
2 1 0
1 0 0
2 1 2
1 2 0
2 1 1
0 2 0
1 2 1
2 2 1
1 1 2
10 5
0 0 0
2 1 2
1 1 0
0 2 3
3 2 2
0 1 2
0 3 2
3 3 2
2 2 3
3 1 1
10 9
2 2 1
3 3 2
0 3 3
2 3 0
0 0 3
1 0 2
1 1 2
0 1 3
3 2 1
2 1 0
10 7
2 2 2
2 1 1
0 0 1
2 3 3
2 3 1
0 2 1
3 0 1
3 0 2
1 2 1
1 2 3
10 4
2 1 1
0 1 1
0 0 1
0 0 2
0 2 2
2 2 0
2 1 2
0 1 2
2 0 2
2 2 2
10 5
2 1 2
2 1 0
0 1 1
0 2 1
2 0 1
2 0 0
1 2 1
2 0 2
0 1 2
0 2 0
10 8
1 0 1
1 2 2
2 2 0
0 1 0
1 2 0
0 1 1
1 2 1
1 1 2
0 2 2
2 2 1
10 3
2 0 1
2 1 1
2 2 0
0 2 1
1 0 1
1 2 0
0 2 0
1 1 1
1 1 2
2 2 2
10 3
0 0 2
2 0 2
0 1 0
1 2 2
1 0 1
0 1 1
2 0 0
1 0 2
1 0 0
1 1 2
10 5
2 3 1
0 3 3
0 1 3
0 1 0
2 0 0
3 1 1
2 1 0
3 3 0
2 2 0
3 2 3
10 9
3 1 0
0 2 1
1 1 0
3 3 3
2 0 2
2 3 0
3 0 3
3 1 3
2 1 0
2 0 1
10 4
2 3 0
3 2 2
0 1 0
2 3 3
1 2 1
0 3 1
0 1 2
0 0 0
0 1 3
0 2 0
10 3
0 1 1
1 2 0
0 1 2
1 1 0
0 0 1
2 1 2
1 1 2
0 0 0
1 0 0
2 0 2
10 6
2 2 0
1 1 2
1 1 0
1 2 1
0 1 0
0 0 2
1 2 0
0 2 1
2 0 0
1 0 0
10 5
2 1 1
1 0 0
2 0 0
2 0 1
1 2 1
0 0 0
2 1 2
0 0 2
1 0 2
2 1 0
10 5
3 0 1
2 0 2
0 0 2
2 0 1
1 0 2
3 3 2
3 2 0
2 2 0
0 1 3
2 0 0
10 4
1 0 0
2 0 1
0 1 2
2 1 0
1 2 0
0 0 2
1 2 1
1 1 1
2 2 2
0 0 0
10 8
0 0 1
3 2 3
1 2 2
3 1 3
3 3 1
2 3 3
2 1 2
1 2 1
2 0 0
0 1 3
10 8
2 1 1
0 2 2
2 0 1
2 2 0
1 2 2
0 2 0
0 2 1
1 1 2
1 0 1
1 1 0
10 9
1 3 3
0 2 2
3 0 0
3 2 3
2 0 2
0 3 1
2 3 3
2 1 2
3 1 0
0 1 0
10 2
1 3 0
1 1 3
1 1 0
0 3 2
0 3 3
3 2 2
2 2 3
0 1 0
3 0 3
2 0 2
10 8
0 2 0
1 2 0
2 2 1
3 0 1
0 0 1
2 0 1
3 2 2
1 2 3
3 0 2
3 3 1
10 4
0 1 2
1 2 1
1 0 1
3 2 1
1 3 3
2 1 0
0 3 3
3 1 3
2 0 0
0 0 0
10 9
1 2 2
0 2 1
1 1 2
0 0 0
1 0 2
2 0 2
1 2 0
2 1 1
2 2 2
2 1 2
10 8
1 3 0
2 3 0
0 2 0
1 3 2
1 3 1
3 1 3
3 3 3
1 0 1
3 1 1
0 3 2
10 9
2 2 0
0 1 2
0 2 1
1 2 1
2 1 2
1 0 1
2 0 1
0 1 0
0 2 0
2 2 2
10 6
0 2 1
0 1 2
1 0 0
2 0 2
2 1 0
2 1 2
2 1 1
1 1 1
1 1 0
1 0 1
10 5
0 2 3
3 3 2
0 0 1
1 2 3
3 1 3
0 0 2
0 3 2
3 2 1
0 3 1
0 2 2
10 3
1 2 0
3 3 2
0 3 3
2 1 1
3 1 1
1 3 3
2 3 0
3 0 2
3 0 3
3 1 2
10 2
1 0 1
1 0 0
2 0 2
3 1 0
2 3 3
1 3 1
0 1 3
0 0 2
2 0 0
1 2 0
10 2
0 3 2
0 2 1
2 1 0
0 1 1
2 2 0
2 0 0
0 0 3
1 3 0
3 0 3
0 3 3
10 4
0 1 1
1 0 0
2 2 0
0 2 2
1 0 2
1 2 0
2 2 1
0 0 1
1 1 2
2 1 1
10 8
2 2 0
0 0 1
2 0 1
2 1 2
2 1 0
1 2 2
1 0 1
1 0 0
0 0 0
1 2 0
10 8
1 0 3
2 2 0
0 3 2
0 2 3
2 1 0
3 2 1
1 3 2
1 1 0
0 1 3
0 1 1
10 2
2 2 1
1 1 2
1 2 0
0 0 0
1 2 1
1 0 1
2 0 2
0 1 0
0 2 1
1 1 0
10 3
0 3 2
0 0 3
0 1 1
2 1 1
3 1 1
0 1 0
0 3 1
2 0 1
3 0 0
0 1 3
10 8
1 3 3
0 2 3
0 0 1
0 0 2
1 3 0
1 1 0
3 1 1
2 0 2
0 2 1
3 2 0
10 6
1 2 0
0 2 2
3 0 1
1 3 1
3 1 2
1 2 1
1 1 1
0 0 1
1 3 2
2 0 2
10 8
3 3 1
1 0 1
2 0 3
1 0 3
1 0 2
2 1 2
2 2 1
2 1 0
3 3 3
1 3 1
10 9
1 1 0
0 2 1
1 2 1
0 0 1
0 2 0
2 1 1
2 0 2
1 1 2
1 0 1
0 1 0
10 6
0 0 1
2 0 1
1 1 2
0 1 2
0 0 2
0 2 1
2 1 2
0 1 1
1 0 1
0 2 0
10 8
1 0 3
1 1 1
1 2 0
0 1 1
3 0 3
1 3 0
2 2 0
2 0 2
2 0 0
0 2 1
10 3
0 2 3
3 3 1
0 2 1
1 1 3
2 0 2
3 1 2
0 0 3
0 3 0
0 1 0
1 0 0
10 9
2 1 2
1 2 2
1 1 2
2 2 1
2 1 1
1 2 1
1 2 0
1 0 1
0 1 2
2 0 1
10 7
0 1 2
2 2 1
0 2 0
0 0 2
0 2 1
2 2 0
0 0 1
1 2 1
2 1 1
1 2 2
10 8
0 1 1
2 2 1
0 2 1
1 0 2
2 2 2
2 1 2
1 1 0
0 1 0
2 0 2
0 2 0
10 7
1 0 2
1 1 3
3 2 1
2 3 1
0 2 2
2 3 0
0 2 0
0 1 3
0 3 2
1 3 2
10 5
0 1 1
1 1 1
0 3 0
1 0 3
0 1 0
3 2 3
0 2 3
3 3 1
2 0 2
1 2 3
10 2
2 0 2
0 2 2
0 1 0
2 2 1
0 0 0
2 1 1
0 2 1
2 2 0
1 2 1
0 0 2
10 9
0 2 2
3 1 3
1 2 0
3 1 0
2 3 2
0 1 1
1 1 2
3 3 3
0 2 1
0 0 2
10 8
0 0 0
2 1 1
0 1 0
2 3 3
0 2 3
3 0 2
3 3 3
3 2 0
1 1 2
2 0 1
10 2
2 1 0
1 2 0
1 0 0
0 0 0
2 0 0
1 1 2
0 0 2
1 2 2
2 0 1
0 2 0
10 6
0 2 2
2 1 1
0 2 0
1 0 1
2 0 1
1 2 2
0 2 1
1 2 1
2 2 0
1 0 2
10 3
2 3 0
0 1 1
0 3 2
2 0 2
2 1 0
1 3 2
1 2 1
2 2 3
3 1 0
0 1 2
10 6
0 1 1
1 1 3
1 3 0
3 1 3
2 1 2
2 1 1
2 0 3
3 2 0
1 2 2
3 2 1
10 7
2 0 2
2 1 2
2 0 1
0 2 0
2 1 0
2 0 0
0 1 2
1 0 2
1 0 0
1 1 2
10 9
2 1 1
2 0 0
1 1 0
2 2 2
1 1 2
1 0 2
0 0 2
1 2 0
1 2 2
0 2 0
10 3
3 0 0
1 0 3
0 1 2
0 3 2
1 2 0
2 2 2
0 1 0
2 2 0
0 2 1
0 0 2
10 2
1 2 1
1 2 2
0 1 2
1 1 1
2 0 2
0 0 1
2 2 0
0 0 0
0 1 1
2 0 0
10 6
0 3 2
2 3 2
2 2 1
0 3 1
1 2 2
0 2 2
2 2 2
3 1 2
1 0 0
0 0 2
10 6
1 2 0
2 1 0
1 1 2
0 2 0
2 0 1
0 1 0
0 1 1
2 0 2
1 0 0
0 0 2
10 2
3 3 2
2 0 1
3 2 1
1 1 3
0 2 2
2 2 2
3 3 3
0 2 0
1 2 3
2 2 1
10 4
3 0 1
0 2 0
3 1 0
1 1 1
0 2 2
1 3 0
3 1 2
3 1 1
0 3 2
1 0 3
10 2
3 0 1
2 1 1
2 0 2
3 2 3
2 0 0
1 1 0
3 1 2
3 1 3
0 2 2
3 2 0
10 3
0 3 1
3 2 2
3 3 3
1 2 2
1 1 3
0 1 0
3 2 1
1 1 1
0 2 3
0 0 2
10 7
2 2 1
2 1 0
0 0 2
1 2 0
1 0 1
2 0 2
0 0 1
0 2 0
2 0 0
2 2 2
10 6
0 1 1
1 1 0
2 2 2
2 1 1
2 2 0
2 0 0
1 1 1
1 0 1
1 0 2
0 2 2
10 3
0 0 0
2 2 1
1 2 0
1 1 1
1 0 2
1 1 0
2 2 0
0 0 1
1 2 2
2 1 1
10 2
0 1 0
2 0 1
1 1 0
1 2 1
1 0 0
1 0 1
1 1 1
1 1 2
2 2 1
2 2 2
10 3
1 1 0
2 1 1
2 2 1
1 0 2
0 0 1
1 2 2
2 0 2
0 0 2
1 2 0
2 2 2
10 2
1 2 0
2 2 0
1 2 1
1 0 1
0 0 0
0 1 2
1 1 0
2 2 1
0 1 0
1 0 2
10 8
0 0 2
2 2 2
2 2 0
2 0 2
0 0 0
0 1 0
1 0 0
0 1 1
1 2 2
0 2 2
10 6
1 1 2
2 1 0
2 1 2
0 2 1
0 1 2
0 2 0
0 0 0
0 2 2
2 1 1
0 0 2
10 5
2 2 1
0 3 3
1 2 3
0 1 0
2 3 1
3 2 3
3 3 3
2 3 0
3 0 3
2 1 2
10 2
2 1 1
0 0 3
0 1 0
1 3 0
3 3 1
0 2 2
2 1 0
1 2 0
1 1 1
2 0 3
10 9
1 2 1
0 2 0
2 2 2
2 0 0
0 0 2
0 0 0
2 0 1
0 1 2
1 0 1
0 0 1
10 2
2 2 0
0 0 2
0 1 2
0 2 2
2 0 2
1 1 2
0 1 0
1 1 1
1 0 1
2 0 0
10 9
0 2 1
1 3 1
2 3 0
1 2 0
2 2 3
0 3 0
2 0 0
0 1 1
3 2 2
3 0 0
10 8
2 0 0
1 1 0
0 0 2
1 2 0
1 1 1
2 0 2
2 1 1
1 0 0
1 1 2
1 0 1
10 4
0 0 1
2 1 1
1 2 0
1 2 1
0 1 1
2 1 0
2 0 1
1 1 1
0 0 2
2 2 2
10 8
2 1 1
0 0 0
1 2 2
0 2 1
0 2 0
1 0 2
0 0 2
0 0 1
1 0 0
2 0 0
10 5
1 0 2
1 3 3
3 0 1
0 3 2
0 2 3
1 1 1
3 0 2
0 0 2
1 1 0
2 1 1
10 7
2 2 2
2 0 2
1 2 1
1 2 0
1 0 1
1 1 1
0 2 1
1 0 2
0 1 2
0 1 0
10 5
1 1 1
2 1 1
2 2 2
1 0 1
2 2 0
0 2 1
2 1 0
1 1 2
1 2 0
0 1 0
10 2
1 2 1
2 3 3
3 0 0
3 2 0
1 2 0
1 3 2
1 1 0
0 0 2
2 3 1
3 1 2
10 6
1 2 2
2 1 1
1 0 2
1 1 1
2 0 2
0 2 0
1 2 1
2 1 0
1 0 1
0 0 1
10 3
0 2 0
0 1 3
2 2 1
1 3 0
1 3 2
1 0 1
2 0 0
2 1 2
3 3 0
2 3 0
10 6
1 0 0
0 1 0
2 2 1
1 0 2
1 1 0
1 2 2
1 0 1
1 1 1
2 0 1
2 1 1
10 3
1 2 2
0 0 2
2 2 0
1 0 2
2 0 2
0 0 0
2 0 0
0 1 0
1 2 1
0 2 2
10 5
1 1 2
1 0 2
0 0 0
2 0 1
1 2 2
2 2 1
0 2 1
1 1 1
0 1 2
1 0 0
10 7
2 2 3
3 1 2
1 3 2
3 0 0
0 2 0
1 0 1
0 3 3
1 2 2
3 2 1
2 1 1
10 4
0 1 2
2 2 1
0 2 0
1 2 1
0 0 1
0 1 1
2 0 2
2 1 2
0 0 2
2 2 2
10 3
1 2 1
0 0 1
0 0 0
0 2 1
2 1 2
1 2 0
2 0 0
2 0 1
1 0 1
0 1 2
10 8
3 0 2
0 3 1
2 1 0
1 2 1
2 1 2
2 3 0
1 2 2
2 1 3
3 2 1
1 1 0
10 8
1 2 3
1 2 2
1 2 0
2 3 3
3 2 0
1 3 0
3 1 1
2 0 1
0 1 3
0 2 2
10 6
1 1 1
2 0 2
1 0 1
1 0 0
0 1 0
2 1 2
0 0 2
2 1 0
0 1 2
2 2 2
10 8
3 2 1
3 0 0
1 1 3
2 2 3
0 3 3
3 3 2
1 3 0
1 2 0
0 0 0
0 2 3
10 5
2 1 2
2 0 1
1 0 2
1 0 1
0 1 1
2 1 0
1 0 0
2 2 2
0 2 1
0 1 0
10 9
0 0 1
0 0 2
1 1 2
0 2 0
0 1 0
2 0 2
1 2 0
0 0 0
1 2 2
2 0 1
10 5
1 1 3
3 1 1
1 0 2
0 2 3
3 2 2
2 0 3
0 0 0
2 3 1
3 1 3
0 1 1
10 2
0 2 1
2 0 0
0 2 0
2 1 0
0 0 3
3 1 1
0 0 1
0 2 2
2 3 1
3 0 2
10 3
1 1 2
1 3 2
1 0 3
0 1 1
2 0 2
0 2 1
1 2 2
1 3 3
1 2 0
2 1 0
10 4
3 0 3
1 1 1
2 2 3
2 2 0
3 2 3
0 3 1
3 3 2
0 3 3
2 1 2
3 0 1
10 4
1 2 2
2 2 0
0 2 2
0 2 0
1 1 0
1 1 1
2 1 2
1 2 1
2 1 1
1 0 0
10 2
0 1 0
2 0 2
2 1 1
1 2 2
2 1 0
0 0 2
1 2 1
0 2 2
1 2 0
2 0 1
10 5
0 0 1
2 1 0
0 0 0
1 0 1
0 2 2
1 1 1
2 1 2
1 2 0
2 2 1
1 1 2
10 2
1 0 3
0 2 3
2 0 0
0 2 1
3 0 1
1 3 2
3 2 3
1 0 0
0 0 1
3 0 2
10 4
2 2 2
1 0 1
1 1 2
0 1 2
0 0 1
2 0 1
1 0 2
1 1 0
2 1 1
1 1 1
10 3
3 3 1
0 3 0
0 0 3
1 3 3
2 1 2
1 3 0
2 1 0
0 0 1
0 1 1
1 0 3
10 2
1 1 2
0 1 2
0 2 1
1 0 0
1 2 2
0 0 2
0 1 1
1 0 1
2 0 1
2 2 0
10 3
1 0 1
0 2 2
2 0 0
1 0 0
1 1 0
1 2 2
2 1 2
0 1 0
0 2 0
2 2 1
10 8
3 2 2
3 1 3
3 3 3
2 2 0
0 2 3
1 1 3
1 3 0
0 1 3
0 1 0
2 2 2
10 4
3 0 2
2 1 1
1 2 3
1 1 1
3 0 0
3 3 1
0 0 0
0 3 1
2 1 0
2 0 0
10 9
3 0 0
2 0 3
2 2 2
3 3 1
3 3 3
0 0 2
0 1 3
1 2 0
1 1 0
0 3 3
10 5
0 0 2
0 0 0
2 0 1
2 1 0
2 0 0
1 1 1
0 0 1
2 1 2
2 2 2
2 1 1
10 4
1 3 1
1 0 1
0 3 2
2 2 0
2 0 1
3 1 2
0 0 0
0 0 1
3 2 2
1 2 0
10 4
0 3 3
2 2 3
3 2 0
2 0 1
1 3 3
2 0 0
1 1 1
0 1 3
3 3 2
1 3 2
10 4
2 1 0
3 1 2
1 3 2
1 2 0
2 2 0
2 1 3
3 3 2
1 1 1
0 0 2
2 3 1
10 3
0 2 3
0 2 2
3 0 3
1 3 2
2 0 1
1 1 3
3 3 0
2 0 3
0 2 0
0 3 1
10 6
3 0 2
3 1 1
1 3 3
3 2 2
0 1 2
3 2 3
0 2 1
0 3 3
2 3 2
0 3 0
10 2
2 0 1
3 2 2
0 3 0
2 1 0
0 0 0
2 1 2
1 2 0
1 0 1
2 0 2
3 1 3
10 3
2 1 1
1 0 1
0 2 2
1 1 1
0 0 1
1 1 0
1 2 1
0 1 2
1 2 0
0 2 1
10 4
1 3 3
3 1 1
0 0 0
2 1 1
0 3 1
2 0 2
3 1 3
3 2 2
3 2 1
0 0 2
10 4
1 0 1
1 1 1
2 2 2
0 0 1
2 2 1
1 0 0
1 2 2
2 0 1
0 2 2
0 2 1
10 3
2 2 0
0 0 1
2 2 1
1 1 0
1 0 0
2 2 2
1 2 0
1 2 2
1 1 1
0 2 1
10 4
1 0 0
3 2 0
2 3 3
0 0 2
0 2 2
2 2 2
2 3 1
2 3 2
2 1 3
3 1 0
10 3
1 0 1
0 2 0
1 1 1
2 0 2
0 0 2
0 1 1
1 2 2
2 0 0
2 1 0
0 2 1
10 5
1 2 1
3 2 2
0 2 0
1 1 3
1 0 2
3 3 3
0 2 3
3 0 3
0 3 2
1 3 2
10 9
1 1 1
1 2 2
0 3 1
1 0 1
1 0 3
2 2 0
0 3 2
3 1 2
3 0 0
2 1 2
10 9
3 0 1
1 1 3
0 1 2
2 3 3
3 0 2
0 0 3
0 2 3
2 2 1
1 3 0
2 3 1
10 9
1 0 0
2 0 2
2 2 0
2 2 1
0 1 2
0 0 2
0 1 0
2 1 1
1 2 1
0 2 1
10 7
2 1 2
2 1 1
0 1 2
1 0 0
1 0 2
1 2 1
1 2 0
0 1 1
1 1 1
1 2 2
10 5
1 0 1
3 1 1
2 2 1
1 1 2
2 0 2
0 0 2
2 2 2
0 0 0
1 0 0
2 0 0
10 8
2 0 1
2 0 2
1 2 0
0 1 0
2 1 0
0 1 2
2 1 1
1 2 1
1 2 2
2 2 0
10 7
3 2 0
1 0 3
3 2 1
1 3 2
2 3 2
3 0 0
0 3 1
0 1 1
2 3 3
0 1 2
10 2
1 3 3
0 0 3
3 2 2
2 2 1
1 2 1
0 2 1
0 2 3
1 0 0
0 2 2
1 1 2
10 8
1 2 3
0 1 1
3 3 3
2 3 2
2 2 1
1 1 0
0 0 1
0 3 2
0 2 3
2 2 2
10 4
3 3 3
1 3 1
3 2 1
0 3 3
2 3 0
3 1 2
0 1 2
2 3 2
0 3 1
3 3 2
10 7
0 1 3
2 1 2
2 3 0
1 2 2
2 2 3
0 3 0
3 2 3
0 2 3
1 2 3
3 3 1
10 2
3 0 1
2 1 1
0 0 3
0 1 1
0 2 3
1 3 0
1 3 3
3 1 2
3 3 3
3 2 2
10 3
3 2 2
3 2 0
2 0 3
1 2 0
1 1 0
0 3 3
0 1 0
3 3 2
2 3 1
2 0 2
10 3
1 1 1
3 1 3
2 0 1
3 0 3
2 2 2
1 3 0
3 1 1
0 2 1
0 2 3
3 0 0
10 3
0 1 1
2 1 2
0 2 1
2 2 0
2 0 1
0 0 1
1 1 1
2 1 1
1 2 2
0 0 2
10 6
1 2 3
3 1 3
1 3 1
0 1 3
0 2 3
3 3 1
0 3 2
1 2 2
2 3 3
3 0 2
10 5
0 1 1
1 1 0
2 0 0
0 1 2
1 2 2
1 2 1
0 0 2
2 0 1
1 0 1
2 1 0
10 4
1 2 0
0 1 2
0 3 1
3 2 3
1 3 0
2 2 0
0 0 0
0 1 1
0 2 2
2 1 3
10 3
0 1 0
1 2 0
2 3 1
3 3 3
3 2 3
2 2 1
1 3 0
2 0 3
0 0 1
1 1 2
10 9
1 1 3
3 0 1
0 0 2
0 2 3
1 2 2
0 2 1
0 0 1
2 3 1
3 1 2
1 0 0
10 7
2 1 2
0 1 3
3 0 2
1 1 3
1 0 1
1 2 0
3 2 1
2 2 1
3 1 1
2 1 1
10 5
2 2 0
2 1 2
1 1 2
1 0 0
1 2 0
0 2 2
0 1 2
0 2 0
1 0 2
0 1 1
10 9
1 2 2
2 2 1
0 2 0
1 0 0
2 1 1
2 0 0
2 1 0
2 0 2
0 1 2
0 0 0
10 3
0 3 2
2 0 1
3 1 1
1 1 1
0 2 0
0 1 3
1 0 1
3 2 1
0 1 0
3 3 2
10 2
2 3 3
3 2 0
1 3 2
2 3 1
1 2 1
3 1 1
1 3 1
1 0 1
1 1 3
2 0 3
10 2
2 3 1
3 0 0
0 2 1
3 2 3
0 2 2
0 1 0
1 1 2
1 1 1
2 0 3
3 0 3
10 2
2 2 0
1 1 1
1 0 2
3 1 3
2 3 2
3 3 3
1 2 3
3 3 2
2 3 0
0 1 3
10 3
0 2 0
2 2 0
0 1 1
2 1 1
2 0 2
1 0 0
1 2 0
1 2 1
2 1 0
0 2 1
10 3
0 3 1
1 0 1
1 2 2
1 3 3
1 0 3
3 3 2
1 3 2
2 2 3
0 1 1
1 3 0
10 8
2 2 1
1 1 1
2 0 1
0 2 0
1 2 2
2 0 2
2 0 0
0 2 1
0 1 0
0 0 0
10 5
1 1 0
0 2 2
1 1 1
1 1 2
1 0 2
2 1 1
0 1 2
0 0 1
0 2 0
2 2 2
10 7
2 1 2
0 1 0
1 1 1
2 0 1
1 0 1
0 2 1
1 1 0
2 0 0
2 2 0
1 2 0
10 2
2 0 1
0 0 1
1 2 1
0 1 1
2 0 2
0 1 2
0 1 0
1 1 0
0 0 0
1 2 2
10 4
3 2 3
0 3 0
2 3 0
2 1 3
0 1 1
0 0 0
2 1 1
0 3 2
1 0 2
1 3 2
10 4
2 2 2
0 0 2
1 1 2
1 0 0
1 0 1
2 0 2
2 1 0
0 2 1
2 0 1
0 1 0
10 8
1 2 0
0 1 2
1 3 3
1 3 0
3 3 2
2 0 1
0 0 1
2 3 0
1 1 3
3 2 3
10 5
1 0 2
0 0 1
2 1 0
1 0 0
2 0 2
1 2 2
0 1 1
2 0 0
0 2 0
2 1 1
10 8
1 2 1
2 2 2
3 0 2
2 3 2
0 1 1
0 0 0
2 1 0
0 1 3
3 2 2
1 1 0
10 6
0 1 2
1 2 2
2 2 0
2 0 0
0 0 0
1 2 0
2 2 2
2 2 1
0 2 0
1 0 2
10 8
0 3 2
2 0 2
2 3 1
2 1 2
0 1 2
1 3 0
2 1 1
2 2 2
3 1 0
0 0 0
10 9
1 1 2
0 1 2
2 1 1
1 1 0
2 2 0
2 2 2
1 0 0
1 0 2
1 2 2
0 0 0
10 4
0 2 2
1 1 0
2 1 0
0 2 0
1 2 1
0 0 0
2 1 2
0 1 0
1 0 2
0 1 1
10 4
2 1 3
2 0 2
0 0 3
3 0 0
0 1 2
1 2 0
1 3 1
1 2 1
3 3 1
3 2 3
10 5
0 0 1
1 0 0
1 0 2
1 0 1
0 2 1
2 0 1
1 1 2
2 1 1
2 1 0
1 2 2
10 3
2 0 0
1 1 1
2 2 3
3 2 0
1 0 2
3 0 0
2 0 3
2 3 1
1 2 2
1 3 0
10 2
2 0 0
1 2 2
2 2 2
2 2 1
0 0 0
1 1 1
0 1 2
2 0 2
1 0 1
1 1 2
10 9
2 0 2
1 0 0
1 0 2
0 1 0
2 2 1
2 2 2
2 1 1
2 1 2
0 1 2
1 1 1
10 2
2 2 1
0 1 0
0 1 1
1 0 1
2 1 0
1 1 0
2 1 2
2 2 0
2 0 1
2 0 0
10 5
1 2 1
1 0 1
0 1 0
1 2 0
1 1 2
0 2 2
2 0 2
2 0 1
0 0 0
2 1 1
10 9
1 2 0
1 2 1
0 1 2
1 1 2
2 2 0
2 2 2
2 1 2
0 2 0
0 2 2
2 1 0
10 8
0 1 0
0 2 0
1 2 2
1 0 0
0 1 1
0 0 2
1 1 0
2 0 2
1 1 2
2 1 1
10 7
2 0 0
0 0 0
1 0 0
2 2 1
1 1 0
0 2 1
2 1 2
1 0 2
1 0 1
0 1 2
10 4
1 3 1
0 3 0
0 3 3
2 0 2
3 1 1
1 3 2
2 1 2
0 0 2
1 0 2
1 2 1
10 2
2 3 0
1 0 3
0 3 2
2 3 2
2 0 1
0 3 0
0 1 0
2 2 3
0 2 1
2 1 2
10 7
1 1 2
0 1 1
2 1 0
0 2 1
1 2 1
2 2 1
0 2 0
1 0 2
0 0 0
1 0 0
10 7
2 3 1
1 3 0
3 2 1
0 0 0
2 2 2
3 3 2
0 2 0
1 3 2
2 3 0
0 3 1
10 9
2 2 0
2 0 0
2 1 0
0 2 0
0 0 1
2 1 2
1 2 2
1 1 0
1 2 1
0 1 0
10 8
0 1 0
2 2 0
2 0 0
1 0 1
0 2 1
1 1 0
0 1 2
1 1 1
0 0 1
2 2 1
10 7
1 1 0
2 3 2
2 0 2
3 0 0
2 1 3
1 3 1
0 0 0
0 3 0
0 3 1
0 2 0
10 8
0 2 2
2 0 1
0 1 0
0 1 1
2 0 2
0 1 2
0 0 1
0 0 0
1 2 2
2 1 0
10 8
0 2 1
0 1 0
1 0 2
0 0 0
2 2 2
2 1 1
0 0 2
2 0 2
1 0 0
1 1 0
10 2
1 2 0
2 3 0
0 2 0
0 2 2
0 2 1
0 3 2
0 3 3
3 2 0
3 3 3
1 1 2
10 7
0 0 1
1 0 2
0 2 2
0 0 0
1 0 1
2 0 2
1 1 1
0 2 1
0 1 0
1 1 2
10 7
1 2 0
2 1 1
0 2 1
1 0 1
1 3 1
2 0 1
3 1 1
1 0 2
1 2 3
1 3 3
10 4
1 2 0
1 2 2
0 1 0
2 1 0
1 0 1
2 0 0
1 1 0
0 2 2
2 0 2
0 1 2
10 9
2 3 2
0 0 0
3 2 3
0 1 2
3 0 2
1 1 0
1 0 0
3 0 0
0 0 2
2 1 2
10 7
0 2 2
0 2 0
0 1 0
2 0 1
1 1 2
1 1 0
1 0 1
1 0 0
0 0 0
2 0 2
10 6
2 1 2
1 2 1
1 0 0
1 2 2
2 0 2
2 2 1
0 2 1
1 1 2
2 0 1
0 2 2
10 9
1 0 1
0 1 2
1 1 1
1 1 0
2 2 2
2 0 1
2 2 0
0 1 0
2 2 1
0 0 2
10 4
3 2 0
2 3 2
2 3 1
2 2 2
0 2 2
0 0 2
3 1 3
3 3 2
3 2 1
0 3 1
10 6
1 2 1
0 0 2
2 2 2
1 1 0
0 2 0
1 0 1
2 1 1
0 0 0
2 2 0
2 0 2
10 8
3 2 3
3 3 1
3 0 0
3 0 1
2 1 0
3 0 3
2 0 3
1 1 2
1 2 0
2 0 0
10 5
1 1 1
1 2 1
2 2 2
1 0 0
0 2 2
0 0 1
2 0 1
1 1 2
1 1 0
1 0 1
10 7
0 2 0
1 1 0
0 2 1
1 2 1
0 0 2
2 0 2
0 1 2
2 1 1
1 2 0
2 2 2
10 2
2 1 0
2 1 1
2 1 2
0 0 1
0 1 0
0 0 2
2 2 2
1 0 2
2 0 2
0 2 1
10 8
2 0 1
1 3 3
3 0 2
3 2 1
1 2 1
0 3 2
3 1 3
0 0 1
0 3 3
3 2 3
10 6
1 0 3
3 1 1
3 0 1
3 1 0
3 3 3
2 0 0
0 0 3
3 0 2
1 1 1
3 0 0
10 7
3 2 1
3 1 3
3 2 2
2 0 1
0 0 1
0 3 1
0 2 3
0 3 0
0 0 2
1 0 3
10 2
1 3 0
1 1 3
0 2 3
0 1 3
0 3 2
0 0 0
3 2 1
3 3 3
1 0 2
1 2 2
10 9
1 0 0
3 2 3
1 3 3
0 0 0
2 2 0
2 1 3
1 2 1
3 1 3
1 1 1
0 0 3
10 8
0 1 2
2 3 3
0 1 3
3 3 2
2 0 3
3 2 1
2 2 0
0 2 0
1 1 1
3 1 0
10 9
2 0 1
0 1 1
2 1 1
2 1 2
1 1 0
1 0 0
0 0 1
0 2 2
1 1 2
0 1 0
10 7
1 2 1
2 2 0
2 0 0
0 2 0
2 1 0
2 1 1
2 2 1
1 0 0
2 1 2
0 0 0
10 9
1 1 2
0 1 1
0 2 0
1 1 0
1 0 1
2 1 1
0 1 0
0 0 0
2 0 0
0 0 2
10 6
1 1 3
2 1 2
1 0 2
1 0 3
1 3 2
2 2 2
0 2 0
3 3 3
3 0 1
0 3 3
10 4
2 1 3
0 3 2
0 2 2
1 1 0
1 2 2
3 1 0
3 3 2
2 1 2
1 1 2
2 1 0
10 2
2 0 1
0 2 0
2 0 0
1 1 2
2 2 1
1 2 2
0 0 1
1 1 0
1 0 0
2 0 2
10 4
0 2 1
2 2 2
1 0 2
1 1 0
1 0 0
2 0 2
0 1 1
1 2 2
2 1 0
0 1 2
10 9
2 2 2
2 0 1
3 0 0
1 1 1
2 1 3
2 0 2
2 2 3
2 1 0
3 3 0
3 3 1
10 7
3 2 3
2 0 1
1 1 3
1 1 2
3 2 2
0 1 0
1 2 2
2 1 1
2 3 1
3 3 1
10 6
2 2 2
0 1 0
0 0 0
2 0 0
2 1 0
0 1 2
1 0 1
2 0 1
1 1 1
0 0 1
10 8
2 0 0
2 0 2
1 3 3
3 3 3
1 0 0
3 3 0
3 2 3
1 3 1
0 0 0
0 3 0
10 5
0 1 2
0 2 0
2 0 2
0 0 1
2 2 1
2 2 2
0 2 2
1 1 1
2 0 0
1 1 0
10 5
0 2 2
2 0 1
0 0 1
2 2 0
2 1 1
1 2 0
1 1 2
1 0 0
1 1 0
0 2 1
10 7
2 1 1
1 0 0
2 2 1
0 2 0
0 2 1
2 1 2
2 0 1
0 1 1
0 0 1
1 1 0
10 9
2 1 0
1 0 1
1 2 0
1 0 0
2 1 2
2 0 0
0 1 2
2 2 0
2 2 2
1 1 1
10 8
2 0 0
2 2 2
2 2 0
1 2 1
0 2 0
2 0 1
1 0 2
0 1 2
1 1 2
1 0 1
10 7
3 3 2
3 0 0
1 3 1
3 1 2
3 2 3
1 1 1
1 0 0
0 0 3
2 0 3
3 1 3
10 9
3 1 1
2 3 2
3 1 3
2 0 2
1 1 2
2 3 0
3 1 0
1 0 2
1 2 0
2 2 3
10 4
2 1 0
0 1 2
0 0 1
2 0 2
0 1 1
2 2 1
1 0 1
0 0 2
0 0 0
1 2 2
10 9
3 1 0
3 2 2
2 1 0
3 3 0
2 3 2
1 3 1
0 3 1
1 0 3
0 1 1
1 3 2
10 3
0 0 0
1 3 1
2 0 1
1 3 3
0 3 3
3 0 3
2 1 2
1 2 2
0 2 0
0 0 2
10 9
1 1 0
2 2 2
0 2 0
2 0 2
1 2 2
0 2 1
2 1 0
0 1 1
2 0 0
2 1 2
10 8
2 0 0
1 3 1
0 2 1
3 2 3
3 1 2
1 0 1
0 2 2
0 0 3
3 3 0
2 2 1
10 2
3 3 3
3 3 2
0 1 1
0 0 1
1 1 2
0 2 3
2 0 1
3 2 0
2 0 3
0 3 0
10 4
2 2 2
2 0 2
3 3 1
1 3 2
2 3 3
0 0 0
1 3 1
0 0 1
0 2 3
1 0 3
10 7
2 0 0
1 0 0
2 1 2
0 1 1
2 2 0
1 0 1
0 2 2
1 0 2
2 1 0
1 1 1
10 9
0 2 1
2 0 2
1 1 2
3 0 3
3 2 1
1 2 1
3 0 1
1 2 2
3 1 3
1 0 3
10 5
0 1 1
1 1 0
1 0 1
1 1 2
2 2 0
1 0 0
1 2 1
1 1 1
0 0 2
0 0 0
10 5
1 0 1
0 0 1
1 1 0
0 2 1
1 0 0
1 2 2
2 0 0
0 2 2
1 2 1
1 2 0
10 3
3 0 0
0 3 0
0 0 3
0 0 1
1 3 0
3 3 3
3 2 0
2 2 2
3 3 1
0 2 2
10 9
2 0 2
2 1 3
0 1 3
0 3 3
3 1 2
1 2 1
3 0 0
3 2 1
0 1 1
1 3 3
10 7
0 1 2
0 2 2
3 1 1
3 3 3
2 1 0
2 0 2
1 2 1
2 3 3
0 0 0
1 0 1
10 7
1 3 2
2 1 1
3 1 1
3 2 1
1 1 1
1 1 0
2 2 2
3 3 3
1 3 0
0 3 0
10 6
2 3 1
3 2 3
0 1 0
3 1 2
3 0 1
2 2 3
3 1 3
3 3 2
1 3 3
0 1 2
10 9
2 0 0
2 2 0
2 0 2
0 0 1
2 1 0
0 2 2
0 2 0
1 2 0
1 0 1
0 0 2
10 6
0 2 2
1 2 2
0 2 0
1 2 1
3 0 0
0 2 1
0 1 3
2 1 0
0 1 2
2 1 2
10 8
1 1 0
1 0 0
0 0 1
0 2 2
0 1 0
1 2 1
1 0 2
1 1 1
0 1 1
0 2 0
10 5
0 3 3
2 1 3
3 3 3
0 0 2
1 1 0
2 2 1
2 2 3
2 0 2
1 1 3
0 1 2
10 3
0 1 3
1 3 1
1 0 0
3 1 3
3 3 1
1 0 2
0 3 2
1 1 1
2 1 1
1 2 3
10 4
1 0 1
1 2 2
3 2 2
3 3 3
2 3 0
0 2 1
0 2 0
0 0 1
1 2 3
3 1 2
10 7
0 2 0
2 2 2
0 2 3
2 0 2
1 1 0
0 1 2
2 0 3
1 2 3
2 1 0
2 0 0
10 7
2 0 0
2 1 2
1 1 2
1 2 0
1 0 2
2 2 1
2 2 2
1 1 0
0 0 1
2 0 2
10 9
2 1 2
3 2 2
1 1 2
3 1 0
0 3 2
3 2 3
0 0 1
0 3 1
3 0 3
3 0 0
10 4
1 1 1
2 0 1
1 2 2
2 2 0
2 1 0
1 0 2
1 1 2
2 2 1
1 2 0
0 0 0
10 2
1 3 2
0 2 2
0 1 0
1 2 2
0 1 2
3 0 1
0 3 2
3 3 0
0 0 0
2 2 1
10 7
2 2 3
3 3 1
0 1 0
3 3 2
1 3 3
2 3 0
3 1 0
3 2 1
1 1 2
3 1 2
10 6
0 0 0
2 1 0
2 1 2
2 0 1
0 2 2
2 2 0
2 2 1
0 1 1
1 1 2
2 0 0
10 2
0 1 1
2 1 0
2 0 0
2 2 0
2 1 2
2 0 1
0 2 0
1 2 2
1 1 0
0 2 2
10 2
0 1 0
2 2 1
0 2 0
2 0 0
0 1 2
2 0 2
1 2 0
0 0 0
2 0 1
1 1 0
10 4
2 2 1
1 0 2
1 1 1
0 2 2
1 1 0
0 1 1
0 0 1
2 2 2
2 1 1
1 1 2
10 8
2 0 0
1 1 2
1 0 2
2 1 1
0 2 0
0 0 2
1 2 1
2 2 0
2 1 0
1 1 0
10 9
0 0 2
1 0 2
0 0 1
1 0 0
2 0 0
1 1 0
2 0 1
0 1 1
1 2 2
1 2 0
10 3
2 1 2
1 1 2
3 2 0
0 2 0
2 2 0
0 0 0
3 2 3
3 0 2
0 0 2
0 2 2
10 3
2 0 0
1 0 1
1 1 2
0 1 0
0 0 2
1 1 1
0 2 2
2 0 2
2 2 1
1 0 2
10 7
3 0 1
2 0 0
3 1 3
0 2 2
3 1 0
0 2 3
1 3 3
3 2 0
0 3 1
3 1 1
10 5
2 1 1
2 2 2
1 0 1
1 1 1
2 1 0
0 2 1
0 1 2
0 0 2
1 2 0
1 2 1
10 4
2 2 0
1 1 0
0 0 1
0 1 2
0 2 1
1 2 1
0 1 1
2 0 1
2 1 0
1 0 2
10 6
3 2 3
3 0 2
3 3 1
0 2 2
1 3 0
1 3 2
2 0 3
0 0 0
2 2 3
3 0 0
10 6
3 1 1
1 3 0
0 1 1
2 2 1
2 3 1
1 2 0
3 0 2
1 0 0
0 1 2
2 3 2
10 5
0 1 1
0 2 1
1 2 0
2 2 0
2 0 2
2 0 1
0 2 0
0 0 1
0 2 2
2 1 2
10 8
0 0 1
2 0 2
0 1 0
1 2 2
0 0 0
1 0 1
2 0 0
2 0 1
1 1 1
2 1 0
10 7
0 1 2
3 0 1
2 0 2
3 0 3
3 3 2
0 2 0
0 0 2
3 3 1
3 3 0
3 2 1
10 2
1 1 3
3 1 2
0 3 1
2 2 2
3 2 0
0 0 1
2 0 0
3 0 3
1 3 3
0 3 0
10 4
1 0 3
3 0 3
2 0 0
2 2 3
0 3 2
0 1 0
2 0 1
2 3 1
3 1 0
3 0 1
10 6
1 0 2
1 1 0
0 2 1
2 1 1
2 0 1
2 2 2
1 2 1
0 1 0
0 1 2
0 0 2
10 3
1 0 2
2 2 0
0 1 0
0 0 0
0 0 1
1 1 0
1 0 0
2 2 2
0 1 2
1 2 2
10 6
2 1 1
2 2 2
1 1 0
0 1 0
0 2 0
2 2 0
0 0 1
1 1 2
1 1 1
2 2 1
10 7
2 2 0
1 1 0
2 0 1
2 0 0
0 2 0
0 0 2
1 1 1
1 2 0
0 2 2
1 2 2
10 7
1 2 1
0 1 2
0 0 1
1 0 1
1 0 2
2 1 0
2 2 0
1 1 0
2 2 2
2 0 2
10 5
3 1 1
2 0 2
3 2 1
3 3 3
0 2 2
1 2 1
2 2 0
1 0 1
2 1 0
2 3 0
10 2
0 2 3
3 2 2
0 3 2
1 0 1
1 2 2
3 3 0
3 2 0
2 2 2
0 0 3
3 1 3
10 2
1 1 2
1 2 0
0 0 3
1 0 1
3 0 0
1 1 3
1 2 3
2 0 0
3 3 2
2 1 1
10 7
2 0 0
2 2 1
2 2 2
2 2 0
1 2 2
1 0 2
1 1 0
1 0 0
1 2 0
1 1 2
10 5
1 0 1
1 1 2
2 0 2
2 2 2
2 0 0
0 0 0
0 0 1
2 0 1
1 2 2
0 1 2
10 4
1 0 1
1 1 0
0 2 2
0 0 1
2 1 1
1 2 1
1 0 0
2 2 1
2 1 2
0 0 0
10 9
2 0 0
2 1 2
2 3 3
1 0 2
2 2 2
0 3 1
3 1 2
2 2 3
2 3 0
0 2 2
10 3
2 2 3
1 1 3
0 2 2
1 3 3
0 1 0
3 1 0
3 3 0
2 3 2
3 2 1
1 0 3
10 5
2 2 3
2 1 1
1 1 0
3 3 2
0 1 3
2 2 0
3 3 3
3 0 1
1 3 2
2 3 0
10 3
3 3 1
2 0 3
2 1 1
2 0 2
1 3 1
1 1 0
2 1 2
0 0 0
0 2 3
2 3 1
10 4
1 2 1
3 2 2
0 1 3
2 1 0
0 3 0
2 3 1
2 1 1
2 2 3
2 1 2
0 0 0
10 8
2 0 2
1 2 0
1 2 1
1 0 1
2 0 1
1 0 0
2 0 0
1 0 2
0 1 0
1 1 0
10 8
2 3 2
1 2 0
2 2 1
0 0 1
3 3 1
0 2 3
0 1 1
0 3 1
1 0 2
0 2 0
10 4
1 1 1
1 2 2
2 2 1
0 1 2
2 1 0
1 0 1
0 1 1
2 2 0
2 2 2
0 2 2
10 6
1 1 2
0 1 2
0 1 0
1 0 2
0 0 1
0 2 2
0 1 1
1 0 1
1 0 0
2 0 0
10 6
1 3 1
3 3 2
1 3 3
2 0 2
0 3 2
1 0 3
0 3 3
0 3 1
0 0 0
1 1 0
10 3
3 1 2
2 2 2
1 0 3
2 0 2
2 3 3
0 1 0
2 1 3
2 2 3
2 3 2
2 0 1
10 8
1 0 0
1 1 1
0 1 1
1 2 1
2 1 0
0 2 1
0 1 2
2 1 1
1 0 2
0 0 0
10 4
2 2 0
0 3 1
2 1 0
3 0 1
1 1 1
1 2 3
1 0 0
0 0 3
0 2 3
1 2 1
10 8
0 2 1
1 2 2
3 2 1
3 3 0
3 1 1
0 0 3
3 0 3
2 1 2
2 3 3
1 1 2
10 2
2 0 1
1 2 2
3 2 2
1 1 3
3 0 1
2 1 2
3 3 1
1 1 1
3 1 1
1 3 0
10 6
2 0 3
2 1 3
3 1 2
3 1 0
1 0 0
2 0 1
1 0 2
2 2 1
2 3 0
3 0 0
10 8
2 0 2
2 0 0
0 2 1
2 2 1
2 1 0
0 0 1
0 0 0
1 1 2
1 0 0
0 2 2
10 3
1 0 1
0 2 0
0 0 2
1 2 1
2 0 2
2 0 1
1 2 0
2 1 1
2 1 2
2 2 2
10 7
0 2 0
1 0 0
2 1 0
0 0 3
2 2 0
0 2 1
0 3 1
1 3 2
1 3 0
1 2 1
10 9
2 1 2
0 1 3
2 3 2
3 3 2
3 1 2
0 0 2
2 0 0
2 1 1
3 1 1
3 2 2
10 7
1 2 1
1 2 3
1 1 2
2 0 0
1 0 2
3 2 0
0 3 0
3 3 0
3 0 1
1 2 0
10 9
0 0 2
3 1 1
2 3 2
1 0 0
2 2 3
0 2 2
1 3 3
2 3 3
2 0 2
0 2 0
10 7
3 0 0
1 2 0
3 0 2
3 3 2
2 0 1
3 2 3
1 3 1
3 1 0
2 1 3
0 2 1
10 2
0 1 1
2 0 0
2 2 0
2 0 1
2 2 2
1 0 0
0 0 0
1 1 2
0 1 2
0 1 0
10 4
3 0 3
3 0 0
2 3 3
1 2 3
1 0 2
2 2 3
3 2 2
3 2 3
2 3 0
0 0 2
10 3
2 0 1
2 1 0
2 0 0
0 0 2
1 0 1
1 0 2
2 1 2
2 2 0
1 2 1
1 1 0
10 4
2 1 2
1 0 0
2 2 0
0 0 0
2 0 1
1 2 1
1 0 1
1 1 0
2 2 2
1 1 1
10 4
1 2 3
0 2 3
0 0 2
1 3 1
3 0 3
2 3 2
2 0 2
2 1 3
2 0 3
0 1 0
10 4
2 1 0
2 0 2
1 0 0
1 2 2
1 0 1
2 2 1
0 0 1
0 1 1
1 2 0
2 1 2
10 4
0 2 2
1 1 1
2 1 0
1 0 0
0 0 2
2 0 2
0 1 1
2 0 0
0 2 0
1 0 1
10 3
1 2 2
0 2 2
2 1 1
0 1 1
0 1 2
1 0 2
1 1 1
1 0 1
0 1 0
1 2 1
10 6
3 0 2
1 0 2
3 1 3
3 1 1
1 3 2
1 1 0
2 0 2
2 3 3
2 3 2
3 2 1
10 5
1 1 1
0 2 0
0 1 1
1 2 0
0 2 1
2 0 0
0 0 2
1 1 0
0 0 0
0 1 0
10 4
2 1 1
0 0 1
0 1 0
1 1 0
0 2 1
0 1 2
0 2 0
1 1 1
0 1 1
2 0 0
10 3
2 2 0
1 2 2
0 3 2
2 2 1
1 2 0
1 1 0
3 2 0
3 3 3
0 1 2
0 2 3
10 2
0 0 0
0 1 0
2 0 1
2 1 0
1 0 1
1 1 0
0 1 1
2 2 2
1 0 0
2 2 1
10 6
1 0 1
1 2 2
1 2 0
0 1 0
1 0 0
0 2 1
0 0 1
2 1 0
2 0 1
0 0 2
10 8
1 0 1
2 2 2
1 2 1
1 1 0
2 2 0
0 0 1
1 0 2
0 2 1
2 2 1
0 1 2
10 2
0 2 3
2 2 2
1 2 3
2 2 3
3 3 1
3 3 2
0 2 1
0 3 1
1 3 2
1 1 0
10 5
3 0 3
2 2 2
2 1 0
2 3 2
3 3 2
0 1 3
1 3 3
0 3 1
1 2 3
0 0 2
10 3
0 0 0
1 1 2
2 0 0
1 2 0
2 1 1
1 1 0
2 2 0
2 1 2
0 1 1
2 0 1
10 7
1 2 1
1 0 1
1 3 2
0 3 1
1 2 3
3 0 1
0 2 1
2 1 1
1 3 1
0 1 1
10 9
1 0 2
0 1 0
0 2 1
1 1 0
0 2 2
1 0 0
1 0 1
2 2 2
0 2 0
2 1 2
10 7
0 3 2
0 1 1
0 0 3
0 2 0
2 3 0
1 3 0
0 3 1
1 3 2
0 2 3
3 1 3
10 4
1 1 0
2 1 2
0 0 0
2 1 0
0 1 1
1 2 0
1 2 1
1 1 1
1 2 2
2 1 1
10 9
2 0 1
1 2 1
1 1 0
0 0 0
0 2 0
0 1 0
2 2 2
2 0 0
0 1 1
2 0 2
10 7
1 2 2
3 3 0
1 1 1
0 1 2
3 2 3
2 2 0
2 3 0
3 0 3
2 1 2
0 0 3
10 5
1 3 0
1 2 0
2 1 0
1 1 2
2 0 1
2 1 2
0 2 1
0 1 3
1 1 1
0 2 2
10 4
1 1 1
2 3 2
0 3 0
3 2 2
2 1 0
1 3 0
1 3 2
2 1 1
0 3 2
1 2 1
10 8
2 1 0
2 2 0
2 1 2
1 0 0
1 0 2
2 0 2
0 2 1
2 0 1
0 1 2
2 0 0
10 4
0 3 1
2 2 0
0 3 0
2 0 0
0 3 3
1 2 2
0 2 2
1 3 2
1 3 0
1 2 3
10 5
0 2 0
3 3 0
3 1 2
1 1 1
0 2 2
3 3 2
2 2 1
0 3 2
0 0 3
1 2 3
10 6
2 1 2
1 1 1
0 2 0
2 2 2
0 1 2
1 0 1
0 1 0
1 1 0
0 0 2
0 2 1
10 9
0 2 1
0 2 0
1 2 2
1 2 1
2 1 1
1 0 0
1 1 2
2 2 1
3 0 1
2 1 3
10 7
1 1 1
1 1 0
2 2 0
0 1 1
0 0 2
2 0 2
1 0 1
2 1 0
0 0 0
0 2 2
10 8
0 2 2
1 1 0
0 1 0
0 1 1
0 0 2
2 0 0
1 2 0
1 0 2
2 1 1
2 2 0
10 9
2 1 0
1 0 2
0 2 3
0 3 3
3 2 1
0 3 2
3 3 0
3 3 3
0 1 3
3 2 3
10 6
0 2 0
1 2 3
1 1 2
3 1 0
0 3 1
3 0 2
0 1 3
2 2 0
0 1 2
2 0 3
10 5
0 3 0
3 0 2
1 0 1
2 0 1
3 3 2
0 1 1
0 3 2
1 0 2
1 2 3
2 1 2
10 6
0 3 0
0 0 1
3 1 1
3 0 3
2 0 3
1 2 1
3 1 2
0 3 3
2 3 3
1 2 3
10 7
3 1 1
0 1 2
1 0 3
2 0 3
2 1 1
2 2 0
3 0 2
2 2 2
1 2 1
3 0 1
10 7
0 1 2
0 2 0
2 2 3
2 2 0
1 1 0
2 3 3
3 0 0
3 0 1
2 1 0
3 3 1
10 2
0 0 0
2 1 0
0 1 1
2 2 1
0 1 0
2 2 2
1 2 2
1 2 1
0 0 1
2 1 2
10 5
2 2 2
2 1 0
3 2 2
3 2 1
3 1 2
0 2 1
1 2 0
2 3 1
1 0 2
3 2 3
10 4
2 0 1
2 2 0
1 2 0
2 2 1
0 2 1
2 2 2
0 0 1
2 0 2
2 1 1
1 1 2
10 6
0 1 2
2 2 2
1 0 2
1 0 1
2 0 2
0 1 1
0 0 0
2 0 1
2 1 2
1 2 2
10 7
2 1 1
2 0 1
0 2 2
0 1 2
0 2 0
1 0 1
1 1 1
2 2 1
1 0 2
0 1 1
10 2
2 0 1
2 0 0
1 0 3
1 0 0
2 3 1
0 1 1
1 2 1
2 2 0
0 1 0
2 3 2
10 8
3 0 3
1 1 1
2 0 3
1 3 3
0 3 3
2 1 3
3 2 3
2 1 2
2 3 2
3 3 1
10 9
0 2 2
2 0 2
0 2 0
0 2 1
2 0 0
1 0 0
2 1 2
2 0 1
1 2 0
2 2 0
10 7
1 1 1
3 0 0
1 0 1
3 3 3
2 1 1
1 1 0
1 2 2
3 3 0
0 3 0
1 3 3
10 6
2 2 2
0 0 2
1 1 1
0 1 3
3 3 1
1 0 2
1 1 0
2 2 1
3 3 3
0 2 1
10 8
2 0 1
1 1 1
0 1 1
1 0 0
2 1 1
1 0 1
0 0 0
0 2 2
0 1 0
2 1 0
10 7
2 0 2
2 2 2
1 1 1
0 1 3
0 3 0
1 2 3
2 1 1
3 0 0
3 1 3
2 2 1
10 8
3 2 3
3 2 2
0 1 0
2 2 3
0 0 1
1 2 2
0 0 0
1 1 3
3 0 1
3 0 0
10 7
2 0 3
0 0 1
1 3 2
0 1 3
1 3 1
0 2 3
3 3 1
2 2 1
2 3 0
0 1 2
10 9
1 2 1
1 1 1
1 2 0
2 0 0
0 1 1
1 0 1
1 0 2
2 1 2
2 2 1
2 2 0
10 2
1 3 3
3 1 3
2 0 3
2 0 1
3 0 3
1 2 1
2 2 0
0 0 3
0 3 3
3 0 0
10 8
0 0 2
0 2 1
2 0 2
1 1 1
0 1 0
0 0 0
2 0 1
1 2 2
0 0 1
2 0 0
10 2
2 2 2
2 1 2
2 2 1
1 0 0
0 1 1
0 0 1
1 0 2
1 1 1
0 2 1
2 0 0
10 6
0 2 1
1 2 1
2 0 0
0 2 2
2 0 2
0 1 1
2 1 0
0 1 2
2 2 0
1 0 1
10 3
0 0 1
2 2 2
2 1 0
1 0 0
0 2 2
0 0 2
0 1 2
2 0 1
2 1 1
1 2 1
10 6
2 0 1
1 2 1
1 2 2
0 2 2
2 2 2
0 1 2
0 2 1
1 2 0
1 0 0
1 1 0
10 5
0 0 0
2 0 1
1 0 1
2 2 1
2 1 2
0 0 1
1 2 1
0 2 1
0 2 0
0 1 1
10 7
1 2 3
2 3 1
2 2 2
0 0 2
1 1 3
3 0 0
0 0 0
3 3 1
1 1 1
3 0 1
10 6
2 0 1
1 1 0
2 2 2
2 0 2
1 2 2
0 0 2
0 2 0
0 1 1
1 2 1
1 0 0
10 7
1 1 2
3 0 3
2 3 2
0 0 0
3 0 2
0 3 3
2 3 3
0 2 1
2 1 1
1 1 0
10 9
0 2 0
1 0 0
1 0 1
0 2 2
0 0 0
2 0 0
1 1 0
2 2 1
0 2 1
1 2 1
10 2
1 2 2
1 0 2
0 1 2
0 2 2
0 2 1
1 2 1
0 0 0
1 1 1
0 0 1
1 2 0
10 4
0 1 2
2 0 0
2 2 0
0 1 1
2 1 2
0 0 1
0 0 2
1 0 0
0 0 0
1 0 1
10 3
1 1 1
0 2 0
3 0 2
2 0 2
1 0 3
0 1 2
0 2 3
2 3 2
2 2 0
0 0 1
10 6
0 2 2
2 0 2
0 0 1
1 1 0
0 1 0
2 2 1
2 0 1
2 2 0
1 2 1
1 2 2
10 2
2 2 1
1 2 0
3 0 1
1 3 1
3 3 1
1 3 3
3 3 2
3 3 0
3 2 2
2 0 3
10 3
0 0 0
0 0 1
2 2 2
2 1 0
1 2 2
2 2 1
1 1 0
2 0 1
0 0 2
2 0 0
10 8
0 0 1
2 0 3
0 2 1
2 3 2
0 3 3
1 0 3
3 2 2
3 0 1
0 2 2
1 3 1
10 3
2 0 1
2 3 1
2 1 2
3 1 0
2 2 0
1 1 0
3 0 3
0 3 3
3 3 2
1 3 1
10 6
1 0 2
2 1 1
1 1 1
0 2 1
0 0 2
0 2 0
1 2 1
2 1 2
0 2 2
1 0 1
10 3
2 2 2
1 1 2
2 0 2
1 1 1
2 2 0
1 2 0
0 2 0
0 0 2
0 0 1
2 1 1
10 7
1 0 0
1 2 2
1 1 0
2 1 1
0 1 0
0 0 1
2 0 1
0 2 2
2 2 0
1 2 1
10 3
2 1 0
2 3 3
3 2 0
0 0 1
3 0 0
0 0 3
1 0 1
0 0 0
1 0 0
3 0 2
10 3
1 1 0
0 2 1
2 0 1
2 1 2
1 2 0
2 1 1
2 1 0
1 0 1
0 0 1
0 0 2
10 4
0 0 1
0 2 0
3 3 2
0 3 0
0 3 3
1 0 2
2 0 3
2 3 1
1 3 2
1 0 1
10 4
0 3 1
2 3 3
3 0 2
1 2 3
1 3 1
3 2 2
0 2 3
2 2 2
1 0 3
1 0 2
10 6
0 0 1
2 0 1
3 2 1
2 1 0
3 1 3
2 1 1
0 0 0
0 3 2
0 1 3
1 1 2
10 7
1 0 2
1 0 0
0 1 2
2 2 0
2 2 2
0 0 2
0 1 0
2 1 1
1 0 1
2 0 1
10 6
2 2 0
3 0 2
2 2 3
3 1 0
0 2 2
2 0 2
2 0 0
1 2 1
3 2 0
3 3 0
10 7
2 2 0
1 0 0
2 0 2
1 2 2
0 2 0
1 2 1
1 2 0
1 1 2
0 1 1
0 2 1
10 4
2 1 1
0 2 1
2 2 1
1 0 1
0 0 0
1 0 0
2 0 2
2 2 0
2 1 0
2 0 1
10 9
2 1 3
2 0 0
1 2 3
0 3 1
1 0 2
0 2 1
0 2 0
0 1 3
3 2 0
2 0 3
10 4
1 1 0
0 0 0
0 2 0
0 2 1
2 1 1
2 1 2
1 2 1
1 0 1
1 1 2
2 0 0
10 6
1 3 1
3 3 0
1 0 0
0 0 0
3 1 1
3 0 3
1 0 3
0 3 1
3 0 1
1 1 0
10 4
0 0 2
1 3 1
3 3 1
1 1 1
3 1 3
1 1 2
0 1 2
0 3 1
3 0 0
2 2 1
10 4
1 1 1
2 0 2
1 1 0
1 2 0
0 2 0
2 1 1
1 2 1
0 0 1
2 2 0
2 0 0
10 2
1 2 1
1 1 2
0 3 2
3 2 2
0 0 1
0 1 1
1 3 0
2 0 0
2 2 1
0 2 0
10 4
1 1 0
0 0 0
2 1 2
0 0 1
0 1 2
2 2 2
0 0 2
2 0 2
1 1 2
2 1 1
10 6
1 3 1
1 3 2
1 2 2
0 3 0
3 0 0
0 1 3
3 3 1
2 0 2
2 1 2
1 1 3
10 2
1 2 0
1 1 0
1 0 1
2 2 1
2 1 0
1 1 1
0 0 1
1 2 2
0 1 1
0 1 2
10 3
2 0 1
1 2 0
0 2 1
0 0 0
1 2 2
2 2 1
2 1 0
2 2 0
0 1 2
0 1 0
10 9
1 2 1
0 0 0
0 2 1
2 1 2
0 1 2
0 0 2
2 2 2
2 0 0
1 0 1
2 1 1
10 8
0 2 1
3 1 0
3 3 3
2 1 2
3 2 0
0 2 2
3 1 2
3 3 0
3 3 2
3 0 1
10 3
0 1 0
0 2 1
2 2 0
2 2 1
0 0 0
1 1 2
0 0 2
2 0 1
1 0 0
0 2 2
10 9
1 1 1
2 1 1
0 2 2
2 2 1
0 2 0
0 0 0
2 2 0
2 0 2
1 0 0
1 1 2
10 4
2 3 1
3 2 3
2 3 3
3 3 1
1 0 1
1 0 3
1 1 0
2 2 3
3 0 1
0 2 2
10 6
1 2 0
2 0 0
2 2 1
0 1 2
2 2 0
0 2 2
1 2 1
2 1 2
0 1 1
0 2 1
10 2
2 1 2
1 1 1
0 1 0
2 0 1
0 0 2
2 1 0
0 1 2
2 2 2
0 0 1
1 1 2
10 7
2 0 0
2 1 1
2 1 2
0 1 0
1 2 1
2 3 2
0 3 0
2 2 2
3 2 1
0 0 3
10 3
0 3 0
1 1 1
3 2 2
3 0 1
0 1 0
2 1 2
0 2 0
3 0 2
3 2 3
2 2 2
10 9
3 0 3
3 0 1
2 0 0
2 3 3
1 3 2
1 0 2
3 1 3
2 1 1
2 2 1
2 2 3
10 2
2 0 2
2 3 0
2 1 0
1 0 3
3 3 1
3 1 2
3 0 3
2 0 3
3 1 3
3 1 1
10 9
2 3 0
0 3 3
2 1 1
0 3 1
2 0 2
0 2 2
3 0 1
2 2 1
0 3 0
0 2 0
10 9
1 2 0
0 1 1
0 2 2
1 1 0
1 1 2
1 0 1
0 0 2
2 0 0
1 0 0
2 0 2
10 9
3 1 2
3 3 3
0 2 3
2 2 0
2 3 3
1 0 3
1 2 2
3 0 3
1 1 1
0 2 0
10 8
0 1 2
0 2 0
2 2 2
2 0 2
0 0 2
1 1 2
0 0 0
2 2 0
2 1 0
0 0 1
10 6
2 0 2
2 1 1
0 1 2
0 0 0
0 0 1
0 0 2
2 0 1
1 1 2
1 0 0
0 2 0
10 9
2 1 0
0 0 0
1 2 2
1 2 0
2 1 1
1 0 0
1 1 0
0 1 2
1 0 2
0 0 2
10 2
2 1 0
0 1 2
1 1 0
1 2 0
0 0 2
2 1 1
2 0 2
0 2 1
1 0 2
1 0 0
10 4
2 3 0
3 0 1
2 1 2
3 1 1
1 1 0
2 3 1
1 3 1
2 0 3
1 1 2
2 1 1
10 4
2 2 1
0 1 0
1 1 2
2 0 2
1 0 0
0 0 2
2 2 0
1 0 2
0 2 1
1 2 1
10 4
2 3 1
3 1 0
0 0 3
0 0 2
3 0 2
0 2 2
1 0 1
0 1 1
3 3 0
1 3 1
10 6
2 0 3
1 3 2
2 2 2
2 3 3
3 0 3
0 0 3
3 3 2
1 0 3
1 3 1
1 1 1
10 6
0 0 0
0 0 1
0 1 2
2 0 2
2 0 0
0 0 2
2 1 1
1 0 2
2 2 1
0 1 0
10 8
0 0 1
3 2 2
1 2 2
2 2 1
2 3 3
0 0 2
2 1 0
1 2 3
3 2 0
3 0 2
10 2
0 0 2
1 0 0
1 1 0
0 2 0
2 2 1
0 1 0
2 1 1
2 0 0
1 2 1
2 1 2
10 3
1 1 1
0 1 0
1 2 2
2 2 1
0 2 2
2 2 0
1 2 1
0 0 0
2 0 0
1 0 2
10 5
1 0 0
1 2 2
1 2 0
1 2 1
0 0 1
1 0 2
0 0 0
1 3 0
0 2 0
1 1 0
10 3
0 2 0
1 1 0
1 2 0
3 2 3
0 1 0
0 0 2
0 2 1
2 1 3
0 3 1
2 3 3
10 8
2 1 1
1 0 1
2 1 0
1 1 1
0 0 2
1 2 1
2 0 0
2 2 2
1 0 0
2 1 2
10 2
1 0 1
1 1 0
1 1 2
1 0 2
2 1 0
2 2 2
1 0 0
1 2 2
2 0 1
2 1 1
10 6
0 2 0
3 3 2
3 3 1
0 1 1
3 2 1
3 3 0
3 1 3
3 1 1
0 3 1
0 3 3
10 3
1 1 1
2 2 0
0 2 1
1 0 0
0 0 1
2 0 1
0 0 0
0 0 2
1 1 0
0 2 0
10 9
2 0 3
1 3 0
3 0 1
1 0 0
1 1 0
2 1 1
2 2 0
2 1 0
3 3 3
1 0 2
10 3
1 2 2
0 1 2
0 2 1
2 0 0
1 0 0
2 0 1
0 0 1
0 0 0
0 1 0
0 1 1
10 5
0 3 1
1 0 0
0 0 2
1 2 2
0 0 1
2 2 0
0 3 0
2 1 0
3 2 1
2 0 1
10 3
2 3 2
0 0 1
1 3 2
0 3 2
1 1 3
3 2 0
0 0 0
2 3 3
0 2 2
0 2 3
10 8
0 2 0
1 0 2
2 1 1
0 0 0
0 1 0
0 2 1
2 1 2
1 1 0
0 0 1
1 0 1
10 7
1 2 1
2 3 2
0 2 2
2 1 0
1 3 0
2 1 3
0 3 3
2 2 3
3 1 1
0 0 3
10 2
1 2 0
0 1 0
1 1 1
2 2 1
0 0 2
1 0 1
2 1 1
1 0 2
0 2 1
2 2 0
10 6
1 3 2
0 3 1
0 0 3
1 2 3
3 3 0
3 1 2
1 1 1
2 1 0
3 3 3
1 3 0
10 9
0 0 1
0 1 3
0 0 0
0 2 2
2 0 1
3 2 2
2 1 3
3 1 3
1 2 3
3 3 0
10 7
3 0 0
1 3 3
1 2 0
0 2 2
3 1 0
3 1 2
1 0 0
2 1 3
2 2 0
0 2 0
10 7
1 1 3
3 2 2
0 3 1
1 2 1
2 3 2
2 1 2
1 0 3
3 2 3
0 2 2
3 0 1
10 4
0 0 2
2 1 0
0 2 0
2 1 1
1 1 1
1 0 1
2 2 0
2 0 1
2 0 0
0 1 2
10 9
2 2 0
1 1 0
0 1 0
0 2 0
1 0 2
2 0 1
0 1 2
2 1 0
2 2 1
0 1 1
10 2
2 1 0
1 0 0
2 3 1
2 3 3
3 3 0
3 0 2
1 3 1
0 0 2
1 3 2
3 1 1
10 2
1 2 3
0 0 0
2 3 0
3 0 3
0 2 0
2 3 3
1 0 3
0 0 3
3 2 1
0 3 3
10 4
2 2 3
3 2 1
3 2 3
2 1 2
2 1 0
0 3 2
0 2 3
1 1 0
3 0 0
1 3 2
10 4
2 2 0
0 2 2
1 0 2
0 1 1
2 0 1
0 0 1
1 1 1
0 0 2
2 1 0
1 1 2
10 4
1 2 1
2 2 2
3 1 2
1 0 3
3 1 1
3 2 0
3 0 3
1 0 2
0 0 1
3 2 3
10 7
3 2 2
3 3 3
3 0 0
3 1 0
2 2 2
0 3 1
0 3 0
1 1 3
3 2 3
2 2 0
10 3
0 2 2
1 1 2
1 2 0
2 2 0
0 1 0
2 2 1
0 0 1
2 0 2
0 2 1
1 0 0
10 9
2 3 2
1 0 0
1 2 1
1 0 3
1 3 1
0 1 2
0 2 1
0 3 1
2 0 2
3 3 3
10 8
3 3 1
0 3 2
1 2 3
2 1 0
3 0 1
2 2 0
0 2 3
3 0 0
1 1 2
1 3 2
10 2
1 2 0
0 0 2
0 2 2
2 0 0
1 2 2
0 2 1
1 1 1
0 0 0
2 2 2
2 1 0
10 9
2 2 2
1 1 1
0 1 2
2 1 0
1 0 2
1 0 1
0 2 2
2 0 0
0 0 2
0 1 0
10 9
1 1 0
0 0 1
2 1 0
0 1 1
1 0 1
1 0 2
2 0 0
1 2 0
1 1 2
2 2 1
10 7
0 1 2
0 1 3
1 3 3
1 0 2
2 1 1
2 2 0
3 2 1
2 3 0
1 2 2
0 3 1
10 4
1 0 1
2 2 1
2 1 2
2 0 0
2 0 1
2 1 1
0 2 0
0 2 2
1 2 0
2 2 0
10 7
1 0 0
1 0 1
1 2 1
2 0 1
0 0 1
1 1 1
1 2 0
1 1 2
0 0 0
2 2 0
10 8
0 1 3
3 3 2
1 0 2
3 2 2
3 1 2
2 0 1
3 2 3
2 1 1
3 0 2
0 2 1
10 3
0 0 0
2 1 2
1 2 1
0 2 2
1 0 1
0 2 1
0 1 1
0 0 1
1 2 2
0 2 0
10 2
2 2 2
0 0 2
2 0 0
0 2 2
1 2 1
1 0 1
1 2 2
1 1 2
2 0 2
2 0 1
10 6
2 1 2
1 1 0
1 2 0
2 2 2
2 2 0
0 1 1
1 0 1
0 2 0
1 2 2
2 1 0
10 8
3 1 3
2 0 3
0 0 3
0 2 1
3 1 2
3 0 3
3 0 1
3 1 1
3 1 0
1 3 2
10 6
2 2 3
3 0 3
0 0 1
1 0 3
3 1 2
2 2 2
2 0 1
0 2 0
1 0 2
0 3 0
10 8
1 2 2
1 2 0
2 2 1
1 1 0
2 1 2
2 0 2
1 0 2
2 2 2
1 1 2
2 2 0
10 5
2 1 1
1 0 2
0 2 2
1 1 1
2 0 0
2 0 2
1 2 0
0 2 0
0 0 2
2 0 1
10 6
2 2 1
0 0 2
2 0 1
0 0 1
0 1 2
1 0 0
0 2 1
0 1 0
0 1 1
0 0 0
10 3
0 2 2
1 1 2
2 1 2
0 1 2
1 2 1
2 0 0
1 0 1
1 2 0
2 2 0
2 2 1
10 4
1 1 0
1 3 1
2 3 2
3 1 1
1 0 3
2 0 3
0 2 3
3 0 3
1 1 2
1 1 3
10 3
3 0 3
3 0 2
2 3 3
1 3 0
1 3 3
1 1 1
3 2 3
2 1 2
0 1 0
0 2 2
10 7
0 0 2
0 1 0
1 1 0
1 1 2
0 0 0
0 1 2
2 1 1
0 1 1
1 0 1
1 1 1
10 8
1 1 0
2 0 1
1 2 2
0 2 1
2 2 2
0 0 1
2 0 2
0 2 0
1 0 1
1 1 2
10 6
0 2 1
0 1 1
0 2 2
0 1 0
0 2 0
2 2 0
1 2 1
2 1 2
2 1 1
0 0 0
10 9
1 1 0
2 2 0
1 0 2
2 0 2
2 1 1
1 0 0
1 2 0
0 0 1
0 2 1
2 0 1
10 5
2 1 2
1 2 2
0 0 1
1 1 2
1 2 0
1 0 2
2 2 2
1 0 0
2 0 2
0 1 1
10 5
1 0 2
0 0 2
0 0 1
2 0 2
2 1 1
1 2 1
0 1 1
0 2 0
1 0 0
2 2 1
10 2
0 1 2
0 0 0
3 2 1
2 2 0
1 1 3
3 0 1
1 3 0
1 1 1
3 3 3
2 0 3
10 7
0 2 3
3 3 1
3 1 3
1 1 2
2 1 0
1 1 1
0 1 0
2 3 2
2 2 0
0 0 2
10 5
1 1 3
2 2 2
1 0 3
1 0 1
0 2 1
1 2 3
0 1 1
3 0 1
1 3 3
2 3 3
10 5
0 0 0
2 1 0
0 2 2
1 0 1
0 0 2
2 0 0
2 2 1
2 1 1
1 0 2
1 1 0
10 7
1 2 1
0 2 2
2 0 1
2 1 0
2 2 1
0 0 1
1 0 0
0 0 2
0 1 0
1 2 2
10 3
2 0 2
2 1 0
2 3 0
2 0 0
1 3 2
1 3 1
1 2 0
1 0 1
0 1 0
1 2 2
10 4
2 2 1
0 2 2
1 2 0
1 1 0
0 1 2
2 0 1
1 0 0
0 2 0
0 0 2
2 1 2
10 2
2 2 0
0 0 2
2 3 2
1 3 1
1 1 0
3 2 1
0 0 1
1 2 3
3 2 0
0 1 2
10 3
3 1 2
3 1 3
3 0 0
3 3 0
0 1 1
1 2 0
0 0 0
3 0 2
1 1 2
1 0 0
10 2
3 0 1
2 0 3
0 1 0
3 1 2
2 1 1
0 3 0
3 1 1
3 0 3
2 0 0
0 1 2
10 3
0 1 0
0 1 1
0 2 0
0 1 2
2 0 0
0 2 1
1 1 1
1 2 0
2 1 0
1 0 0
10 9
0 1 0
2 0 0
2 2 2
2 1 2
2 2 1
0 0 0
1 0 1
2 2 0
1 2 0
0 1 1
10 9
0 0 0
2 1 0
0 1 0
2 1 2
2 2 0
1 0 2
1 2 1
0 1 2
1 2 2
0 0 2
10 9
3 1 0
1 3 1
3 1 3
3 2 3
2 0 2
1 0 0
3 0 2
2 2 1
3 0 3
3 2 0
10 2
3 1 1
3 1 3
1 3 1
2 1 1
1 0 0
1 1 1
1 1 3
2 1 3
1 0 1
1 3 3
10 7
2 0 2
1 0 1
2 2 1
1 2 0
1 1 1
1 0 2
2 0 0
2 1 2
0 2 2
0 1 0
10 9
2 0 1
1 1 1
2 0 2
2 1 2
0 0 2
1 0 2
0 2 0
2 2 2
1 2 0
0 0 0
10 8
0 2 2
0 3 1
3 3 2
0 3 3
0 1 1
3 1 0
2 2 0
0 1 3
0 1 0
2 1 0
10 6
0 1 1
0 0 2
2 0 1
1 1 1
0 2 0
0 2 1
2 1 0
2 0 2
2 1 2
0 1 2
10 8
2 2 1
2 0 2
0 1 0
2 0 1
1 1 0
2 1 1
2 2 0
0 1 2
2 0 0
0 0 1
10 6
2 2 0
0 1 0
0 2 1
2 1 2
1 2 2
0 0 0
2 0 1
2 1 1
0 0 1
0 0 2
10 6
1 0 3
1 2 2
0 2 3
2 3 1
0 0 0
3 1 2
2 1 1
3 1 3
0 0 2
0 1 2
10 8
2 3 2
1 1 3
1 1 0
0 2 1
0 3 0
0 2 2
3 1 0
3 0 1
3 1 2
1 2 0
10 4
3 3 1
0 1 1
3 2 3
2 0 0
0 2 1
3 0 3
2 0 2
0 0 1
1 0 2
2 3 3
10 5
2 1 1
3 0 0
1 3 0
1 0 1
1 1 3
2 0 0
0 2 3
3 3 3
1 0 0
3 3 2
10 2
2 1 0
1 1 0
0 0 0
0 2 0
0 2 2
0 1 1
2 1 1
0 1 0
0 2 1
2 0 0
10 9
3 2 2
0 1 1
2 2 0
0 3 1
3 3 0
3 2 1
0 2 0
3 3 3
1 3 3
3 2 0
10 2
0 2 1
1 0 2
1 2 2
0 1 2
1 1 0
0 0 0
2 1 2
2 2 2
1 0 0
2 2 1
10 9
1 2 0
1 1 3
0 0 3
1 3 3
3 1 0
2 1 1
3 2 2
0 0 2
1 2 1
1 1 1
10 5
2 0 3
3 3 3
0 2 1
2 3 0
2 3 3
2 1 0
3 2 0
2 2 1
0 1 1
0 2 0
10 2
3 3 2
1 3 0
3 2 3
1 3 1
3 1 2
0 0 0
0 1 0
1 2 2
2 2 3
2 1 3
10 2
2 0 2
2 3 2
3 2 0
2 3 3
3 3 1
1 2 2
1 3 0
1 3 1
2 2 0
2 1 2
10 8
0 0 0
0 0 2
2 2 1
2 1 0
2 0 2
0 1 2
2 1 2
0 2 2
1 0 0
0 2 1
10 6
2 3 1
2 1 0
0 0 1
3 0 0
3 1 3
1 2 3
1 3 1
0 0 3
1 1 3
2 1 3
10 4
0 1 1
2 1 1
2 0 1
2 2 2
1 2 1
2 1 0
2 2 0
1 2 2
1 1 0
1 0 2
10 8
3 3 2
1 3 1
0 3 0
2 2 0
1 1 1
2 2 1
0 0 1
3 1 2
3 1 3
3 1 0
10 9
0 1 0
2 0 1
1 1 0
1 2 1
0 0 0
1 1 1
0 2 0
0 0 2
2 0 0
1 0 0
10 5
0 2 0
2 2 1
0 1 0
2 0 1
2 2 2
2 2 0
2 0 2
0 2 1
0 1 2
1 2 0
10 9
0 2 0
0 0 1
2 2 0
0 0 2
1 0 2
1 2 2
0 0 0
0 1 1
0 1 0
1 2 1
10 3
0 0 0
0 2 1
0 1 2
0 0 2
2 1 2
1 0 0
1 2 0
2 2 2
1 1 1
2 2 0
10 7
2 2 2
0 1 0
0 2 1
0 1 2
1 2 0
1 1 1
0 0 2
2 2 1
2 2 0
0 1 1
10 6
1 0 3
2 3 3
1 1 1
0 3 0
0 1 3
0 0 0
3 0 1
3 1 3
3 2 3
2 0 3
10 2
1 1 1
1 0 2
3 2 1
1 3 1
0 3 2
3 3 2
1 2 3
0 0 0
1 0 0
3 3 3
10 7
3 1 1
3 2 3
1 2 2
0 3 1
0 2 2
2 0 2
0 0 2
0 3 2
0 0 0
3 3 1
10 7
3 2 1
1 0 0
2 0 3
1 2 0
0 0 2
1 3 2
0 2 1
3 3 2
2 2 1
3 2 0
10 6
1 2 2
3 3 2
3 1 0
1 1 2
1 3 1
2 3 2
1 3 0
0 3 3
3 3 1
3 1 1
10 4
2 0 1
2 1 1
2 1 2
1 0 2
1 1 0
2 0 2
1 0 1
2 2 0
2 2 2
2 0 0
10 9
0 0 3
3 0 1
2 3 1
1 0 1
1 2 1
0 2 3
0 1 3
1 0 0
2 0 2
3 1 0
10 8
1 2 1
3 0 3
2 0 1
2 1 3
1 0 2
2 0 0
3 2 3
2 2 2
3 3 2
3 3 0
10 4
3 3 2
1 1 2
2 3 1
2 2 3
1 2 0
2 3 2
3 2 1
0 1 2
0 0 2
1 3 0
10 6
1 1 1
2 3 2
2 2 0
1 2 1
0 0 0
3 0 3
1 1 0
3 1 2
3 2 2
1 2 0
10 8
2 2 3
3 1 3
3 0 2
2 1 2
1 3 3
1 0 2
3 3 1
1 3 0
3 2 2
1 1 3
10 9
0 3 1
0 0 0
1 3 0
2 0 0
2 2 3
1 2 1
0 3 2
3 3 0
2 2 1
0 3 3
10 3
2 0 1
2 0 2
0 2 1
1 0 0
0 1 1
0 2 2
1 2 2
0 1 2
2 0 0
1 2 0
10 5
2 1 0
2 2 1
1 2 1
2 0 2
1 0 0
0 2 0
2 1 2
2 1 1
1 2 2
2 0 0
10 3
0 3 0
2 1 1
2 1 3
1 0 2
0 0 3
2 2 1
3 1 0
2 0 3
1 2 1
3 2 3
10 6
0 3 3
3 3 3
2 2 2
2 3 3
2 1 1
0 0 3
1 3 3
2 0 2
0 2 2
1 0 1
10 6
0 1 1
2 2 1
1 2 3
0 2 3
0 0 1
1 3 2
3 2 3
2 0 2
1 0 2
0 2 2
10 6
2 2 0
3 1 0
0 1 0
0 1 2
2 2 2
0 2 2
2 3 3
1 0 2
3 1 3
3 2 0
10 9
2 0 1
1 0 2
2 2 0
1 1 0
0 0 0
1 0 0
0 2 1
2 1 2
1 2 1
2 1 1
10 3
1 0 0
2 2 1
1 1 2
2 0 0
0 0 1
0 1 0
2 1 1
1 0 1
1 0 2
0 2 1
10 3
2 0 0
3 3 1
3 0 2
3 0 3
1 1 1
1 2 1
1 3 2
1 3 3
0 1 0
1 0 0
10 5
0 0 2
0 2 2
0 0 1
2 1 1
2 0 1
0 1 1
1 0 2
1 1 0
0 2 0
1 2 1
10 2
0 0 3
3 0 1
0 2 3
3 0 2
2 0 0
2 3 0
2 1 0
0 3 0
3 2 0
3 1 2
10 3
0 0 1
2 1 2
2 1 0
3 3 1
3 3 3
3 3 0
2 2 1
0 1 1
3 2 1
1 3 1
10 6
2 2 3
0 3 0
2 3 1
0 2 0
1 2 1
0 2 2
2 2 2
3 2 1
0 3 3
1 1 3
10 2
0 1 2
0 0 2
1 0 2
2 0 2
1 2 2
1 1 2
1 0 0
0 2 1
0 2 2
2 0 1
10 2
2 0 1
0 2 2
2 1 0
2 2 2
1 0 0
1 1 2
1 2 1
2 0 0
0 2 1
0 0 1
10 9
1 1 2
2 1 0
0 1 2
1 0 3
2 1 1
0 0 1
1 0 2
2 2 0
3 2 0
2 0 1
10 6
2 0 1
0 1 1
0 2 1
1 1 1
0 2 0
1 1 0
0 2 2
2 2 2
2 2 0
1 2 0
10 9
0 1 0
0 0 1
1 1 2
0 0 2
2 0 2
2 0 0
2 2 0
1 1 1
2 2 1
1 0 2
10 7
0 1 0
2 1 1
1 1 1
0 2 2
0 1 2
2 0 1
1 0 0
1 0 2
2 0 0
0 2 0
10 6
1 2 0
0 1 0
2 1 2
0 2 1
2 2 1
1 0 2
2 1 1
1 1 2
0 2 2
2 2 0
10 5
1 1 0
0 2 1
1 0 2
0 2 3
0 1 0
0 0 2
3 2 2
0 0 3
1 2 3
0 0 1
10 2
1 0 2
0 0 0
0 1 2
2 2 2
1 2 2
1 1 1
2 1 0
2 2 1
0 2 2
0 1 0
10 2
3 0 3
1 2 3
2 1 2
3 0 0
1 1 1
0 0 1
2 1 3
3 1 1
2 1 1
2 3 3
10 8
1 1 2
1 0 0
0 2 1
0 1 1
0 1 0
2 0 1
2 1 0
2 0 0
2 2 1
1 0 2
10 9
0 2 2
2 2 0
0 0 1
2 1 2
2 0 0
2 2 1
0 1 0
0 0 2
0 1 1
2 2 2
10 9
3 3 2
1 3 2
2 0 0
2 1 0
1 2 3
3 2 1
0 2 3
2 0 3
2 2 3
2 1 1
10 5
2 1 2
2 0 0
0 2 2
0 0 1
1 0 0
2 0 1
0 1 2
1 1 1
2 0 2
2 2 0
10 4
2 1 2
1 1 1
0 2 2
0 2 1
0 2 0
2 0 0
0 1 2
1 1 2
1 2 0
1 0 0
10 2
2 1 0
1 3 3
3 2 0
1 2 2
0 0 2
3 2 3
3 1 2
2 0 3
3 1 0
1 1 3
10 4
1 2 2
0 0 0
1 2 0
2 1 2
2 0 2
2 2 0
1 0 1
1 2 1
1 1 1
1 1 0
10 3
1 2 1
1 2 3
2 1 0
1 3 3
2 1 3
2 2 2
0 3 0
0 2 0
0 1 0
1 3 0
10 8
2 2 2
0 0 1
2 2 1
1 2 2
0 2 0
2 1 0
0 1 0
2 0 0
1 1 2
0 2 2
10 5
1 1 1
1 2 0
2 1 1
0 1 0
2 1 0
0 2 2
0 2 1
1 1 0
1 1 2
2 2 1
10 6
2 1 1
1 1 1
2 1 0
0 0 2
0 0 1
2 2 0
1 2 2
1 2 1
0 1 1
1 0 2
10 4
2 3 3
1 3 2
0 2 0
2 1 2
0 2 3
2 0 1
1 2 1
2 3 2
0 0 1
0 0 2
10 7
1 1 0
2 3 0
0 2 3
0 3 1
1 1 2
3 1 1
3 0 0
1 3 1
1 2 0
3 3 2
10 4
2 3 2
0 0 0
0 2 0
3 3 3
0 1 2
3 1 2
1 1 0
1 2 2
1 2 0
2 3 0
10 2
1 1 2
1 2 1
2 1 2
1 0 0
0 1 1
2 0 1
0 0 0
0 1 0
1 2 2
2 2 2
10 7
3 3 0
2 1 2
3 1 1
2 1 1
3 1 0
3 1 3
1 1 2
2 2 3
1 2 2
0 3 2
10 7
0 2 0
1 1 1
1 0 0
1 2 2
0 2 2
2 1 1
2 0 0
2 2 1
0 0 1
0 1 1
10 8
2 2 1
0 2 0
1 1 2
2 2 0
0 2 2
2 1 1
2 0 2
1 0 0
1 2 1
1 1 0
10 7
1 1 2
1 2 1
0 0 1
2 2 0
2 0 1
2 1 0
1 2 2
0 1 1
2 0 2
1 1 0
10 9
2 2 3
1 1 3
3 3 3
3 3 1
1 2 2
3 2 2
3 0 1
0 3 3
1 2 3
1 0 2
10 4
1 2 3
2 2 1
2 1 0
1 3 2
2 2 0
0 2 3
2 1 1
0 3 3
2 3 0
2 1 3
10 8
1 0 0
0 1 2
1 1 2
0 0 1
0 0 2
2 2 2
2 2 1
1 2 0
1 0 2
2 0 2
10 9
1 1 2
0 1 2
2 1 0
1 0 2
0 0 2
1 0 0
1 1 1
1 2 1
1 2 0
0 2 2
10 9
1 3 0
0 0 2
2 2 3
1 3 1
0 3 3
2 3 0
0 3 2
3 2 0
2 0 3
2 3 1
10 3
0 1 3
1 0 3
0 3 3
2 2 2
2 3 0
0 1 1
1 2 1
1 3 3
0 0 3
0 0 2
10 6
0 1 1
3 2 1
3 2 0
0 0 3
2 1 3
2 0 2
0 0 0
1 2 3
3 2 3
3 3 1
10 9
1 1 0
0 1 2
1 3 3
1 3 1
0 2 2
3 1 0
3 2 2
0 1 3
2 1 3
0 0 1
10 8
2 0 1
0 0 0
0 2 2
1 0 2
1 1 1
1 1 0
0 1 1
1 2 2
0 1 0
0 2 1
10 3
1 0 0
2 1 0
1 2 1
2 1 2
0 2 2
0 2 0
1 0 2
2 0 2
1 2 0
0 1 0
10 3
1 3 1
1 1 1
1 3 3
3 3 3
1 1 2
1 3 0
3 2 3
1 2 1
1 1 3
2 2 0
10 4
0 2 2
0 0 0
2 1 0
0 1 2
1 0 2
2 2 0
1 2 1
2 2 2
0 2 0
0 0 2
10 9
1 3 3
2 2 2
1 0 2
3 0 1
0 2 3
3 0 2
2 1 1
3 2 2
0 0 1
2 3 0
10 3
1 3 2
0 1 1
0 0 0
2 2 0
2 0 3
1 2 3
2 0 1
2 1 0
2 2 2
2 1 1
10 4
2 2 1
1 2 1
0 2 1
0 0 2
0 2 2
2 1 0
0 1 0
1 1 0
1 1 2
1 0 1
10 5
2 1 2
1 0 0
0 2 2
2 0 1
0 0 2
1 1 2
2 0 2
0 2 1
0 0 1
1 0 1
10 8
2 3 3
2 1 0
1 0 0
2 1 1
1 3 1
3 3 2
0 1 0
1 2 0
3 1 1
1 2 3
10 2
0 1 3
3 2 1
0 2 1
3 1 1
3 1 3
0 0 3
0 3 3
0 2 3
1 1 0
0 0 1
10 6
0 3 2
2 3 3
0 0 3
1 1 3
1 3 1
3 0 2
1 2 2
0 0 1
0 2 0
1 2 0
10 5
1 2 1
1 0 2
2 0 0
0 0 0
0 2 0
2 1 1
2 0 2
2 2 2
0 0 2
0 0 1
10 7
0 2 1
3 1 0
3 0 3
2 1 3
3 3 0
2 1 2
3 2 2
1 0 2
1 2 2
1 0 0
10 4
1 1 1
2 2 3
1 3 2
0 3 1
0 1 1
0 0 2
1 1 3
1 2 1
1 2 3
1 0 1
10 4
2 1 1
2 2 1
2 2 2
3 0 1
2 1 0
3 2 1
1 0 0
1 1 1
0 3 1
0 3 0
10 7
2 2 3
2 0 1
3 3 1
2 2 2
1 2 2
1 0 3
0 0 3
0 3 1
1 0 1
1 2 1
10 5
0 1 0
2 2 0
1 2 0
1 1 1
2 1 2
2 1 1
0 0 1
0 0 2
1 1 2
2 0 2
10 8
1 2 2
2 0 0
0 0 2
2 2 2
1 2 1
2 2 1
1 1 1
1 1 0
1 2 0
2 0 2
10 6
2 2 0
0 2 1
2 0 0
2 1 2
0 1 1
2 1 0
0 0 2
0 0 1
0 1 0
1 2 1
10 6
2 0 1
0 2 2
1 2 0
1 1 2
0 1 2
0 0 1
1 0 2
2 2 1
2 2 2
0 1 0
10 4
0 1 2
2 2 2
2 0 1
2 0 0
2 1 0
2 1 1
1 1 2
1 0 0
0 0 2
0 0 1
10 9
1 1 0
2 1 1
2 2 2
0 2 2
1 1 2
2 1 2
2 2 0
0 0 2
0 1 2
1 2 2
10 2
2 0 1
2 3 3
3 2 0
3 2 2
1 1 3
3 1 2
1 1 1
3 1 1
2 2 0
2 2 3
10 7
1 2 2
3 0 1
2 0 1
0 2 3
3 2 3
1 0 0
2 3 3
2 3 0
1 0 2
0 3 2
10 3
1 2 2
2 0 2
2 0 1
1 1 1
0 1 0
2 0 0
2 2 0
1 2 1
2 1 0
0 2 2
10 6
3 2 0
1 1 3
0 2 1
1 3 3
0 3 0
1 1 0
1 3 1
0 2 2
2 3 1
3 3 1
10 8
1 1 3
1 1 2
3 1 1
1 2 0
1 3 2
0 2 0
3 0 3
2 0 2
3 1 2
2 3 2
10 2
1 0 1
1 0 0
2 0 2
1 2 0
2 0 0
0 0 0
2 1 0
0 2 0
2 0 1
2 2 1
10 6
0 1 0
1 2 2
0 0 2
2 1 2
1 1 2
2 0 0
0 0 1
0 2 2
1 0 0
1 0 2
10 2
2 2 1
1 1 2
0 0 1
2 1 1
1 1 0
2 2 2
0 0 0
0 2 2
0 0 2
0 1 2
10 8
1 2 0
1 1 2
2 0 0
0 0 0
2 2 1
1 0 0
1 2 1
1 0 2
0 0 2
2 2 2
10 2
1 2 0
2 0 2
2 3 0
2 1 3
1 2 3
1 0 2
1 3 2
3 2 1
3 1 3
3 0 0
10 5
3 0 1
3 0 2
1 1 2
2 2 3
1 2 3
3 3 1
1 3 3
3 2 3
3 2 1
2 2 0
10 4
2 0 0
3 0 1
2 1 2
0 1 2
2 2 3
3 3 3
3 1 3
1 0 3
0 2 3
1 1 2
10 4
0 0 0
1 1 1
2 1 2
1 0 2
2 2 0
2 1 1
0 2 1
2 0 1
0 1 2
0 1 0
10 2
2 1 2
0 1 0
1 2 0
2 1 1
2 0 1
0 0 1
1 0 2
1 2 2
1 0 1
2 0 2
10 7
3 2 3
2 3 2
0 3 1
3 1 0
0 1 3
1 0 3
3 3 1
3 3 0
0 3 3
0 0 3
10 8
1 1 0
2 0 1
0 0 1
0 0 0
2 1 0
2 2 0
1 1 1
2 2 1
2 1 2
1 0 0
10 7
2 3 3
0 2 3
3 2 1
3 2 2
0 1 2
1 3 2
1 3 0
2 2 3
2 0 2
1 1 0
10 7
0 0 1
2 0 2
1 2 2
1 2 3
2 1 3
3 3 1
1 1 3
0 0 0
0 2 1
3 1 2
10 8
1 0 0
0 0 0
1 2 2
0 1 2
2 1 2
1 2 1
2 1 1
0 2 1
0 1 1
2 1 0
10 4
2 2 0
1 2 2
2 0 0
2 0 2
0 0 1
2 2 2
1 0 0
0 2 2
2 2 1
2 1 1
10 7
0 1 0
1 0 2
0 2 1
2 0 2
2 2 1
0 2 0
2 0 1
1 0 0
1 2 0
1 0 1
10 2
0 2 2
2 1 1
1 0 0
0 2 1
1 2 2
1 0 1
0 1 1
1 1 2
2 1 0
1 2 0
10 4
3 1 3
2 0 2
3 1 2
0 1 3
0 2 3
2 1 0
2 2 0
2 0 1
1 0 2
1 3 2
10 6
0 1 0
2 2 2
0 2 2
1 1 1
0 0 1
1 0 1
1 0 0
2 0 1
0 1 1
0 1 2
10 4
2 0 1
3 3 2
3 1 0
3 1 1
3 0 1
3 3 0
2 1 1
3 2 3
1 1 1
2 0 3
10 3
2 1 2
1 0 1
2 0 1
2 0 0
1 0 2
0 0 0
0 0 1
0 1 2
0 2 1
0 0 2
10 4
2 1 2
0 2 0
2 3 2
3 1 3
1 1 0
3 0 3
3 0 1
0 3 3
1 2 1
2 0 1
10 7
0 0 3
0 1 2
0 1 1
1 0 0
3 2 1
3 2 2
3 1 2
1 2 0
1 2 3
0 0 2
10 7
2 3 2
2 3 1
1 1 1
1 2 2
3 0 3
1 3 1
2 0 1
0 2 2
2 2 2
2 3 3
10 6
3 0 1
2 1 3
0 1 0
2 3 2
0 2 3
3 2 3
3 2 2
3 1 2
0 3 1
2 0 0
10 6
1 0 1
1 3 0
2 2 2
0 0 0
1 0 0
2 3 1
3 1 0
0 0 1
3 2 1
0 2 0
10 5
0 1 1
1 0 2
1 1 0
1 1 2
1 0 0
2 1 2
2 2 1
0 2 2
1 2 0
0 2 0
10 5
1 2 0
0 2 2
2 1 0
2 1 2
1 1 2
0 0 2
1 2 2
1 1 0
2 1 1
0 1 1
10 9
1 1 1
1 3 1
3 3 0
3 0 1
2 0 1
2 0 0
0 1 1
2 1 2
3 3 1
1 0 2
10 5
1 1 2
0 1 1
2 0 1
0 2 0
1 1 1
0 0 1
2 0 0
1 0 0
2 2 2
0 0 0
10 8
0 3 2
2 1 1
0 3 0
0 2 2
3 1 3
2 3 1
0 2 0
3 0 1
1 1 0
2 3 0
10 4
0 0 1
0 1 0
1 2 0
1 1 1
0 0 2
1 0 2
2 1 2
2 2 2
1 0 1
0 2 2
10 6
1 0 1
2 2 0
1 0 0
1 1 1
2 2 2
0 2 1
0 0 2
2 1 0
0 0 0
1 1 2
10 8
1 2 1
1 0 0
2 0 1
1 0 2
2 1 2
2 0 0
2 2 2
1 2 2
2 1 1
1 2 0
10 5
3 2 3
2 3 3
1 3 0
1 1 3
2 1 1
0 1 3
0 0 1
3 1 3
2 3 0
0 1 1
10 3
1 1 1
1 0 0
2 1 0
1 0 1
1 2 0
2 2 2
1 1 2
0 1 0
2 0 0
1 1 0
10 6
0 3 2
1 3 3
1 3 2
2 3 0
2 0 3
2 0 0
3 2 1
0 1 3
1 3 0
3 0 1
10 5
3 3 3
1 2 0
3 1 2
0 1 3
3 3 1
0 0 0
2 3 1
1 3 2
3 3 2
0 2 3
10 2
3 1 3
0 2 0
0 3 3
0 1 3
1 1 2
1 0 1
3 1 2
0 1 2
3 2 1
3 0 1
10 7
2 1 1
0 0 1
1 1 2
2 3 3
1 2 0
3 3 2
2 2 0
2 3 2
2 0 1
1 3 2
10 3
0 2 0
2 1 0
1 0 0
0 0 2
0 1 0
1 1 2
0 2 1
1 0 2
0 2 2
1 1 1
10 9
0 0 0
0 1 2
1 2 1
1 1 1
2 0 1
1 0 2
0 1 0
2 2 0
1 2 2
1 2 0
10 8
3 1 3
1 0 3
3 1 2
1 1 3
3 2 0
0 0 3
2 2 1
0 3 2
2 2 0
3 0 0
10 5
2 1 1
2 0 2
1 2 1
0 2 2
1 1 2
1 0 1
0 1 1
0 0 1
2 0 0
1 0 0
10 7
0 0 1
2 0 2
2 1 0
2 0 0
0 2 0
2 1 1
2 2 1
0 2 1
0 0 2
1 0 2
10 6
0 3 1
0 3 0
3 0 3
0 1 3
0 0 2
1 1 3
1 2 2
0 1 0
2 1 3
1 3 3
10 2
0 0 2
1 1 1
0 1 1
2 2 0
0 2 2
2 2 1
1 2 0
0 0 0
1 1 2
0 1 0
10 6
3 0 0
0 0 3
1 3 1
1 3 2
2 2 2
3 1 1
2 1 3
0 0 0
3 2 3
1 0 0
10 5
1 0 2
0 1 2
0 2 0
2 2 2
2 1 1
2 2 0
0 1 1
1 1 0
1 1 2
0 0 0
10 4
0 3 2
0 2 3
3 1 0
3 0 2
1 2 3
3 0 3
3 2 2
3 3 1
0 2 0
0 1 3
10 6
0 1 0
0 2 0
2 0 2
2 2 1
1 2 0
2 0 0
2 2 0
2 0 1
0 0 2
0 1 2
10 8
1 1 2
2 1 1
0 1 0
0 2 0
2 0 2
1 2 1
2 2 2
0 0 2
1 2 2
1 0 2
10 8
0 2 3
2 2 1
3 0 0
3 3 2
2 1 3
1 2 3
1 0 1
0 2 0
3 2 0
3 0 1
10 2
3 3 1
1 3 0
3 2 1
0 3 1
0 0 2
0 2 3
0 3 0
1 0 3
1 0 1
1 0 0
10 8
0 0 0
2 0 1
2 1 0
1 0 0
2 2 2
2 2 1
0 2 1
1 0 2
1 1 0
1 1 1
10 7
2 3 1
1 1 2
2 2 0
1 3 3
1 0 3
3 1 1
1 1 0
2 1 0
0 0 2
3 3 0
10 6
1 0 1
2 2 0
2 1 1
0 1 1
1 0 0
2 1 0
1 3 2
1 2 3
3 2 0
2 3 0
10 9
0 2 3
2 1 1
1 1 2
2 1 3
2 1 0
1 3 1
0 2 2
0 2 0
0 0 0
1 3 0
10 6
0 2 2
2 0 2
2 1 1
1 2 1
2 1 0
1 2 2
1 0 0
2 2 1
1 2 0
2 1 2
10 8
1 0 2
0 2 1
2 0 0
1 0 1
1 2 0
1 1 2
2 0 1
2 0 2
0 0 1
0 0 0
10 8
3 2 0
1 1 1
2 0 1
3 3 3
3 3 0
3 3 1
1 2 1
3 1 0
1 2 3
1 0 3
10 9
0 2 2
2 1 1
0 0 2
0 2 1
2 0 0
1 2 0
2 1 0
2 0 1
0 1 0
1 2 1
10 2
0 0 2
3 3 3
0 1 0
3 0 1
0 2 0
3 0 2
2 3 2
0 1 2
3 1 2
3 1 3
10 3
1 1 2
1 1 1
2 0 1
2 0 0
2 2 0
0 0 0
2 1 0
1 2 2
0 0 1
1 2 1
10 8
0 0 1
2 0 1
0 0 2
1 2 0
2 1 0
1 1 2
0 2 0
1 2 2
1 0 2
0 0 0
10 8
2 0 2
2 2 0
1 0 2
0 2 1
1 2 2
0 2 2
2 2 2
0 0 0
0 1 0
1 1 1
10 4
3 0 2
1 2 0
3 1 1
3 0 0
0 1 1
3 3 1
0 1 0
0 2 0
1 0 3
2 3 0
10 6
0 2 1
3 2 3
1 3 3
0 1 0
3 1 0
2 1 1
0 1 2
1 2 3
2 0 0
3 1 1
10 9
1 0 0
1 0 1
2 2 0
2 0 0
1 2 0
0 1 0
0 0 0
2 2 2
2 1 1
0 2 2
10 5
2 2 2
3 1 2
1 3 2
2 2 0
1 3 3
3 2 2
0 0 1
1 0 3
1 0 1
0 1 0
10 4
2 0 2
2 1 1
1 3 1
2 2 0
2 3 0
3 3 3
0 1 2
0 2 1
0 3 0
3 3 1
10 7
1 0 1
2 1 0
0 2 0
1 2 1
2 2 0
2 0 0
0 0 1
0 2 2
0 0 2
1 0 0
10 8
0 2 2
1 1 0
0 0 1
2 1 1
3 0 0
1 1 2
0 1 3
3 3 0
1 2 2
3 1 0
10 5
2 0 1
1 1 2
2 1 3
2 2 1
3 2 0
1 3 0
1 3 2
3 1 0
1 2 3
0 1 2
10 9
0 0 1
2 2 0
3 0 1
0 2 0
3 2 1
0 2 3
1 0 0
2 3 2
2 0 3
2 1 1
10 2
1 2 0
2 1 2
0 1 0
1 1 1
1 2 2
2 1 0
2 0 2
0 0 0
0 2 2
1 1 0
10 9
0 1 1
2 1 2
1 2 1
1 2 2
1 1 2
2 0 0
1 0 0
0 1 2
2 2 0
1 2 0
10 2
3 2 3
1 2 1
2 0 1
1 3 3
0 0 3
1 2 0
1 1 2
2 1 0
3 1 1
0 2 1
10 3
3 1 3
3 1 1
2 1 0
0 1 1
0 2 1
2 3 1
3 2 3
0 0 2
1 0 0
3 1 0
10 6
0 2 0
2 1 2
2 2 1
0 2 2
2 3 1
1 3 0
1 3 1
1 1 3
2 3 2
0 3 0
10 6
2 0 2
1 1 0
1 2 2
1 0 2
0 2 1
1 2 1
1 0 0
0 2 0
2 2 2
1 1 1
10 3
2 2 0
0 0 0
2 0 1
0 1 2
1 2 0
2 1 1
1 2 1
0 1 0
1 0 1
1 1 2
10 6
2 2 2
2 3 1
2 2 0
2 2 1
0 2 2
1 3 1
0 3 3
0 2 0
2 1 3
1 3 3
10 9
1 0 1
0 2 2
0 2 0
0 2 1
1 2 2
1 1 1
0 0 0
1 0 2
2 0 2
0 1 2
10 8
1 2 1
1 1 0
3 0 1
3 3 1
3 1 3
3 2 1
2 1 3
0 2 0
2 1 2
3 1 0
10 9
2 1 1
1 2 2
0 0 1
0 1 0
1 2 0
1 0 0
0 2 2
2 2 0
2 2 1
2 0 1
10 8
0 2 1
2 1 1
2 2 0
0 1 1
1 1 0
1 1 2
2 2 1
2 0 2
1 0 2
1 2 0
10 8
2 2 1
3 2 0
1 3 0
3 3 0
3 3 3
0 1 1
0 0 2
0 1 2
2 2 3
1 0 0
10 9
1 0 0
3 2 0
2 3 2
0 3 2
1 1 3
1 1 2
2 1 2
0 1 3
2 2 2
0 2 0
10 3
1 0 1
2 1 0
1 2 2
0 2 1
2 2 0
2 0 1
1 1 1
1 1 0
1 1 2
0 0 0
10 2
0 0 2
0 1 2
0 2 2
2 0 1
0 1 1
1 0 2
2 1 1
1 2 0
2 0 2
1 0 1
10 8
2 2 1
2 2 2
2 0 2
0 1 0
1 1 0
0 0 1
2 0 1
1 2 1
0 2 1
0 1 2
10 2
0 1 0
0 2 2
1 1 1
0 2 0
1 2 0
1 1 0
2 2 1
2 0 1
2 2 0
1 1 2
10 3
0 1 0
1 0 1
0 2 1
2 1 0
2 0 1
1 2 2
0 1 1
0 1 2
0 0 0
1 1 1
10 5
3 2 2
0 0 3
3 0 2
0 3 2
1 1 3
3 3 1
3 3 0
2 2 3
2 3 2
1 2 0
10 8
0 0 0
1 3 3
3 1 2
1 2 1
2 3 3
1 3 0
2 0 2
1 1 0
1 0 2
1 2 2
10 2
1 1 0
0 0 2
0 2 1
0 0 0
2 1 2
1 0 0
1 2 0
0 1 0
1 2 2
0 1 2
10 5
3 1 0
2 2 0
2 1 2
2 1 0
0 3 1
2 1 3
3 2 3
2 3 2
1 1 3
3 2 1
10 5
0 2 2
1 1 0
3 2 1
3 3 2
1 1 3
2 0 0
1 3 3
0 3 0
0 0 3
1 3 2
10 7
1 0 3
0 1 1
1 2 3
0 0 2
3 3 0
2 3 3
0 3 2
0 2 0
1 2 2
3 1 2
10 6
1 1 1
0 1 0
1 2 0
0 1 2
0 0 0
0 2 0
0 0 2
1 2 1
0 0 1
1 0 0
10 4
3 0 3
3 0 2
1 1 2
3 3 2
3 1 1
3 0 1
2 2 2
2 1 0
1 2 0
0 3 0
10 4
2 0 1
2 2 0
3 2 1
3 1 1
0 1 0
3 0 1
0 0 0
1 2 1
2 0 3
1 3 2
10 7
1 1 2
0 0 0
2 2 2
0 2 1
0 1 0
2 0 1
2 2 1
2 0 0
0 1 2
2 0 2
10 6
2 0 1
0 0 0
1 0 1
0 2 0
0 0 2
1 2 0
1 1 2
0 2 2
2 2 0
2 2 2
10 3
1 2 2
2 3 2
1 1 2
2 2 1
3 0 1
3 1 3
3 2 2
0 2 1
1 2 0
2 1 1
10 9
3 3 3
1 1 1
2 3 2
0 3 3
3 2 2
1 0 3
0 2 1
2 3 0
1 0 1
0 2 2
10 9
0 1 1
1 0 0
1 2 2
1 1 2
0 2 1
2 0 0
1 1 0
2 0 1
2 0 2
1 2 0
10 5
0 2 0
0 2 1
2 1 0
1 2 1
2 2 1
0 0 2
1 1 2
1 0 2
2 1 1
1 0 0
10 2
1 0 0
1 2 1
0 0 0
3 1 0
3 2 0
1 0 1
2 1 0
3 1 2
2 0 1
2 1 1
10 5
2 2 1
1 2 2
1 2 1
0 0 0
1 0 0
0 2 2
0 1 2
2 1 0
0 1 1
1 2 0
10 9
2 1 2
0 2 0
0 0 2
0 2 1
1 2 2
1 1 2
1 2 1
1 2 0
1 1 1
0 0 0
10 2
0 2 2
0 0 1
2 1 0
1 0 1
1 2 1
1 2 0
2 0 0
1 0 2
1 1 0
1 1 2
10 5
2 3 2
1 2 3
0 0 1
0 1 0
1 0 1
3 3 3
0 3 3
3 1 1
1 2 0
1 0 2
10 9
1 0 2
1 2 2
0 2 1
1 1 0
0 1 0
2 1 1
0 2 0
1 2 0
0 0 1
0 0 0
10 9
0 2 2
1 1 1
0 1 0
2 1 1
0 0 2
0 1 1
2 0 1
2 1 0
0 0 0
2 2 0
10 7
1 0 1
2 2 1
0 1 2
0 1 0
1 2 2
1 2 1
2 0 0
2 1 1
2 2 0
1 1 2
10 2
1 0 0
2 0 0
2 1 2
2 0 3
1 3 3
0 2 1
0 2 2
2 3 0
3 3 0
1 0 1
10 6
0 1 3
1 3 3
3 1 2
1 1 0
2 2 0
1 2 1
0 2 2
3 0 2
2 3 3
3 3 0
10 2
1 0 0
2 1 0
2 2 2
2 1 1
1 1 0
0 1 0
0 2 0
1 2 0
0 0 2
2 0 1
10 5
3 2 3
3 0 0
2 3 1
0 0 2
2 0 0
3 3 1
2 2 0
1 0 3
3 1 0
0 1 3
10 2
1 1 1
2 2 0
3 2 0
2 3 0
0 0 1
2 1 0
1 3 3
3 3 3
3 2 1
2 3 1
10 4
2 2 1
0 0 0
0 2 1
2 1 2
0 1 0
0 1 2
2 1 0
1 1 0
1 2 1
2 0 2
10 4
3 3 1
1 2 1
2 1 2
1 3 2
2 0 1
3 2 2
2 3 1
3 0 1
0 0 1
1 2 0
10 6
1 2 2
0 2 1
1 1 2
1 1 0
0 1 0
1 0 0
2 0 0
0 0 0
1 1 1
1 2 0
10 6
3 3 3
0 3 0
1 3 2
3 1 2
0 1 3
3 0 0
0 2 1
2 3 1
3 3 1
0 2 2
10 5
0 0 0
0 2 0
0 0 1
1 2 1
0 2 2
1 1 2
2 1 2
1 1 0
0 1 2
1 0 2
10 6
2 1 2
1 1 2
1 0 1
0 2 0
1 0 2
2 2 1
1 1 1
0 1 1
2 2 2
0 2 2
10 7
0 1 1
2 0 1
1 2 1
0 1 2
0 2 0
1 2 0
1 0 0
2 2 0
0 2 2
1 1 0
10 8
0 2 0
2 0 2
2 2 1
0 1 0
1 0 2
0 0 1
0 0 0
0 2 2
1 1 1
1 2 0
10 4
2 1 0
0 1 2
2 2 2
0 2 0
0 0 0
1 0 1
1 0 2
1 1 1
0 1 1
2 0 2
10 4
3 3 0
1 2 2
2 3 1
0 0 3
2 1 0
1 3 2
3 2 1
3 3 1
1 3 1
2 1 2
10 4
1 2 0
2 1 0
1 2 1
2 0 2
1 1 2
1 1 0
2 1 2
0 1 0
2 1 1
0 1 2
10 8
1 1 2
3 1 1
0 0 3
0 1 0
0 2 2
3 3 1
0 3 2
3 2 1
1 3 3
0 2 1
10 9
1 2 1
0 0 2
2 2 2
1 1 0
2 1 1
1 1 2
0 2 2
2 0 0
1 0 0
2 1 0
10 3
1 1 0
1 2 2
2 1 2
0 1 0
1 2 1
2 1 0
1 1 1
0 2 0
0 0 1
2 2 0
10 4
1 2 2
2 2 1
2 1 1
0 1 0
0 2 1
0 0 0
0 1 2
2 0 2
2 2 2
0 2 0
10 5
2 1 2
1 1 2
1 2 2
1 0 2
0 1 0
0 2 0
2 0 1
1 0 1
1 2 0
2 1 1
10 8
1 1 3
2 0 1
1 3 1
0 1 3
3 1 0
2 0 2
0 2 1
2 1 2
3 0 3
3 3 0
10 4
1 2 0
2 0 0
1 2 1
1 1 0
1 0 1
0 1 2
0 1 0
0 2 1
2 0 2
2 0 1
10 3
1 2 1
0 0 2
0 1 1
2 0 2
0 1 0
2 2 2
2 2 1
0 0 1
2 1 0
1 2 0
10 3
1 3 1
3 1 3
2 0 2
0 3 3
1 3 2
0 2 0
0 3 0
1 3 0
2 0 3
1 0 0
10 9
0 2 1
3 0 2
1 2 3
3 1 2
1 2 1
2 3 1
1 0 2
3 1 1
0 1 2
0 3 0
10 7
2 3 0
0 2 3
3 3 3
0 3 0
2 1 2
2 1 0
1 0 2
3 3 1
2 1 1
0 0 0
10 6
0 0 0
1 0 1
2 0 0
2 2 2
0 2 0
2 1 0
0 0 1
2 0 2
0 1 1
1 2 1
10 6
2 2 3
0 3 0
1 1 3
1 2 1
3 3 1
2 1 3
1 2 0
1 3 2
2 0 3
0 3 1
10 9
0 2 1
2 1 2
1 1 0
2 0 1
2 0 2
3 2 3
0 1 3
3 0 0
2 1 0
3 0 3
10 4
0 1 0
0 3 1
0 3 2
0 2 0
3 2 2
2 2 2
2 2 0
3 3 2
1 0 2
1 3 1
10 8
1 2 3
0 2 3
3 3 2
3 1 2
3 0 3
0 0 1
3 2 2
0 3 3
3 0 0
3 3 3
10 8
0 0 0
1 1 1
1 2 3
2 2 2
2 3 0
3 3 1
2 3 3
3 2 0
1 3 1
1 2 1
10 3
2 0 1
0 2 1
1 2 0
0 0 0
2 2 2
1 0 1
2 1 1
1 1 1
1 0 2
0 1 2
10 7
1 2 3
2 0 2
2 3 1
1 2 2
2 0 3
3 0 1
0 2 2
2 1 2
2 1 3
1 0 2
10 4
0 2 0
2 1 0
2 2 1
1 2 1
0 0 1
1 1 1
1 1 0
2 0 2
2 0 1
1 0 2
10 9
2 0 0
0 2 1
0 0 2
1 1 2
1 0 1
1 2 2
0 1 2
0 2 0
0 2 2
2 0 1
10 5
2 1 1
2 0 0
0 1 1
0 1 0
1 2 1
1 2 2
2 2 2
1 2 0
2 1 2
1 1 1
10 9
0 2 3
3 2 0
2 1 3
0 3 1
0 2 1
1 0 1
3 3 3
0 2 2
2 2 0
2 0 2
10 3
0 2 2
0 2 1
1 1 1
2 1 2
0 0 0
2 2 1
1 0 2
2 0 1
1 2 0
2 1 0
10 3
1 3 2
0 2 1
2 3 3
2 0 2
1 1 0
1 3 3
0 2 2
0 3 2
2 1 1
2 0 0
10 3
1 3 3
2 0 2
3 0 1
0 0 1
0 2 1
1 1 1
2 2 2
0 0 2
1 0 0
3 2 3
10 7
3 0 0
2 1 3
2 3 1
0 1 1
3 0 1
3 3 3
0 0 2
2 0 1
0 2 1
0 0 0
10 6
3 2 3
3 0 0
1 0 1
0 3 1
3 2 0
2 3 1
0 1 2
1 2 2
1 0 0
0 2 3
10 3
2 2 1
0 3 3
2 3 3
1 3 0
1 1 3
3 1 2
1 2 3
0 2 3
2 1 2
1 2 0
10 2
0 2 1
2 0 0
1 2 2
1 0 0
2 2 0
1 1 1
2 1 0
1 0 2
1 1 2
2 2 2
10 2
3 2 2
0 0 3
1 0 0
3 1 2
2 1 2
2 0 0
1 2 0
3 0 2
0 0 0
2 2 3
10 2
3 2 1
0 0 1
1 1 0
0 3 3
0 0 3
3 3 1
1 2 0
0 2 2
3 0 1
2 3 2
10 2
0 1 2
0 2 1
0 2 2
0 0 2
0 0 0
1 0 0
2 1 0
1 1 0
1 2 1
2 0 1
10 7
1 0 3
2 2 3
0 2 3
0 1 2
1 2 2
2 0 2
3 0 0
2 2 2
0 3 3
2 3 0
10 7
2 0 0
2 1 2
2 2 1
0 0 0
2 0 1
2 2 2
1 2 2
1 0 2
0 2 0
0 2 1
10 3
0 0 1
0 0 2
2 0 0
1 2 0
2 2 2
2 1 0
0 2 2
2 2 1
0 2 0
0 1 2
10 7
3 0 0
2 0 0
2 2 3
3 3 1
0 2 2
1 2 1
3 3 3
3 3 2
3 2 1
2 1 3
10 4
0 2 1
2 0 2
1 1 0
2 2 1
2 1 2
0 1 2
0 0 2
0 0 1
1 0 0
1 2 1
10 3
2 2 1
3 1 2
0 2 0
0 3 1
2 0 2
0 1 2
2 2 2
3 1 3
1 2 1
3 0 1
10 8
1 2 1
0 1 1
2 0 2
2 2 1
1 0 1
2 1 1
0 2 0
1 1 1
2 2 2
1 0 0
10 3
1 2 3
1 2 2
0 3 0
0 2 1
0 0 2
3 3 1
0 3 1
3 0 3
2 2 1
3 3 2
10 5
3 1 0
2 0 2
2 2 2
0 2 0
3 2 1
2 0 0
3 0 2
1 2 2
0 2 1
3 3 3
10 4
1 1 1
2 0 0
2 2 2
2 1 2
0 1 2
1 2 1
2 0 1
0 2 0
2 2 0
0 1 1
10 9
3 0 3
1 1 0
0 0 0
1 3 0
1 2 3
1 0 0
3 0 2
1 2 1
1 2 0
0 2 1
10 7
1 3 2
2 0 1
2 2 2
3 2 0
0 2 2
3 3 1
3 0 0
0 0 0
0 1 3
2 2 0
10 6
3 1 2
0 0 3
3 1 1
0 2 1
1 3 0
0 2 2
1 0 0
3 2 1
3 2 3
3 3 2
10 2
0 1 1
0 2 0
1 1 1
3 1 3
1 1 0
1 3 1
0 1 0
3 3 2
2 0 2
0 1 3
10 5
1 0 2
0 0 0
0 3 2
2 2 3
2 0 3
2 3 1
3 3 1
1 3 2
2 1 2
3 1 2
10 2
2 0 2
3 2 3
2 1 0
3 1 2
0 3 0
3 0 3
3 0 2
1 1 1
3 1 3
1 1 0
10 5
1 1 1
2 2 0
2 2 2
0 1 2
0 0 1
1 0 2
1 1 2
1 0 0
2 1 0
0 0 0
10 2
2 0 1
0 3 1
1 0 3
1 3 3
0 1 0
3 2 3
0 2 0
0 3 3
1 1 2
3 3 0
10 8
0 2 0
2 0 0
1 2 0
0 0 2
0 0 1
1 0 2
1 0 0
0 1 0
1 2 1
2 2 1
10 4
1 1 2
2 1 2
2 0 0
2 2 1
2 0 1
1 2 1
2 1 1
1 0 0
0 2 1
2 1 0
10 7
1 2 3
3 1 2
1 1 1
3 1 0
2 3 3
0 0 1
2 3 0
2 2 3
1 1 3
3 0 1
10 7
1 0 1
2 2 0
2 2 2
0 0 0
2 1 1
0 1 0
0 2 1
1 1 0
1 1 2
1 2 0
10 3
2 1 1
2 0 1
2 2 2
0 2 1
1 1 2
1 2 0
2 1 0
0 1 0
0 0 0
1 1 0
10 3
3 2 0
2 0 0
2 2 3
3 3 0
3 3 3
1 0 3
1 2 2
2 3 2
1 0 2
2 1 3
10 4
0 1 1
1 2 3
3 1 1
2 2 3
2 0 1
3 2 1
1 0 0
2 1 1
3 1 0
2 1 3
10 7
3 1 3
1 2 3
3 0 3
1 0 2
0 2 1
3 2 0
0 1 0
2 0 1
0 0 1
0 2 0
10 7
2 1 0
1 2 0
2 0 2
0 2 1
1 1 1
1 2 1
1 0 0
0 1 2
0 0 2
0 0 0
10 6
1 0 3
2 0 0
1 0 0
1 0 1
0 2 3
2 1 2
1 3 2
3 1 0
2 1 1
2 3 0
10 4
3 2 2
2 2 1
3 2 1
1 1 0
2 2 3
1 3 0
2 0 3
0 3 3
2 0 2
3 0 1
10 2
2 1 2
2 2 2
0 2 1
1 2 0
2 2 1
0 0 1
1 1 2
2 1 0
0 1 2
1 2 1
10 7
1 2 1
0 1 1
1 0 3
1 0 2
2 0 2
1 0 1
0 3 0
1 3 1
3 1 3
3 0 1
10 8
0 1 0
2 3 2
0 1 2
1 1 0
2 3 1
1 3 0
2 0 1
0 2 2
1 3 3
1 1 3
10 2
3 3 1
3 3 0
3 1 0
3 0 1
0 0 2
1 2 0
0 2 3
0 1 2
3 1 1
0 0 3
10 2
1 2 1
2 1 2
2 0 1
2 1 0
0 0 1
0 0 0
0 2 0
2 2 1
2 1 1
1 0 0
10 5
3 3 2
0 2 3
3 3 3
2 3 2
1 3 3
3 1 1
1 0 0
1 3 0
3 1 2
2 2 3
10 9
2 2 2
1 2 0
2 1 1
0 1 1
2 0 0
2 1 2
2 1 0
1 2 2
0 2 1
1 1 2
10 6
0 1 0
2 0 2
2 2 1
0 0 2
2 1 2
1 0 1
2 1 0
2 2 0
1 2 2
2 2 2
10 5
1 2 2
2 1 1
2 1 2
0 0 1
2 2 0
2 1 0
0 2 1
1 2 0
0 1 2
0 0 2
10 5
1 1 1
1 3 0
2 2 2
2 2 1
0 2 3
0 0 3
2 2 0
3 1 3
1 1 0
3 3 3
10 4
0 3 2
0 1 1
3 0 3
3 2 1
1 3 3
0 2 0
1 1 3
0 0 1
1 2 3
2 2 2
10 9
0 2 1
2 1 0
0 1 2
0 2 3
1 1 1
3 2 2
2 0 2
3 1 3
3 0 1
0 3 0
10 6
1 0 2
0 0 2
1 1 1
0 1 2
0 2 0
2 1 1
1 1 2
2 0 2
2 1 2
0 1 0
10 9
1 2 0
1 2 3
3 1 0
2 3 0
0 0 3
2 0 2
1 2 1
2 1 2
1 1 3
3 0 2
10 6
2 1 2
2 0 0
1 2 1
0 0 1
0 1 1
2 0 2
0 0 2
2 1 0
1 0 1
0 1 2
10 9
0 1 0
1 0 2
2 1 0
1 2 2
0 2 2
2 2 0
1 1 0
0 2 1
0 1 1
0 2 0
10 5
1 0 1
0 1 2
1 2 1
0 0 2
0 2 2
2 1 2
0 2 1
1 1 0
0 0 0
2 0 2
10 2
0 1 0
1 1 1
1 0 1
0 2 2
1 2 1
0 1 1
1 0 2
2 2 2
1 0 0
1 2 0
10 9
0 2 1
1 0 0
0 0 1
1 0 1
1 1 0
2 0 2
0 0 0
2 0 0
2 1 2
1 2 2
10 6
2 1 0
1 0 1
1 1 1
2 2 1
3 1 0
3 3 0
1 3 2
3 3 2
2 2 2
0 3 1
10 6
0 2 0
0 0 2
2 1 2
0 2 1
1 1 0
1 2 0
2 1 0
1 1 2
2 0 0
1 2 2
10 9
1 0 3
1 0 0
3 3 1
1 1 2
2 3 2
1 3 2
2 0 1
2 2 0
1 3 0
2 1 2
10 6
1 2 1
2 1 2
2 0 0
0 2 1
0 2 0
1 0 1
1 1 0
0 0 0
0 1 2
1 0 0
10 3
2 0 1
0 0 2
2 2 0
1 0 1
1 1 0
1 0 2
2 0 2
2 1 2
0 0 0
0 1 1
10 7
1 0 0
2 2 2
3 3 1
0 3 1
3 2 0
1 1 1
0 2 2
3 1 0
3 1 1
1 3 3
10 3
0 2 1
2 2 0
1 0 1
2 1 1
1 0 0
1 2 0
1 1 2
2 0 2
0 0 0
0 1 0
10 4
0 0 0
1 2 2
0 2 2
0 0 2
2 0 2
2 0 0
2 1 2
1 1 1
1 1 2
2 0 1
10 2
2 2 2
0 2 0
1 1 1
1 2 2
0 0 1
0 1 1
0 0 2
1 2 0
2 1 0
0 2 2
10 5
0 1 0
1 3 3
0 2 1
0 1 1
1 3 2
1 3 1
1 3 0
0 3 1
0 3 3
0 0 0
10 8
2 1 3
2 3 0
0 1 0
3 1 2
3 3 1
3 0 0
1 3 1
1 0 0
3 0 2
1 1 0
10 9
3 2 2
0 2 0
0 0 2
3 3 1
2 0 0
1 1 1
1 2 1
0 3 1
1 2 0
3 0 2
10 5
0 1 2
2 2 1
1 1 1
2 2 0
1 1 0
1 2 0
0 0 2
2 0 1
1 0 2
2 0 2
10 3
2 3 1
3 0 1
0 2 2
2 0 3
0 1 1
0 2 0
2 3 0
1 2 1
2 0 2
2 0 0
10 3
2 1 0
0 2 1
1 1 0
0 2 0
0 1 0
2 1 1
1 1 1
0 0 1
2 2 0
0 0 2
10 4
2 1 1
3 2 3
2 3 1
2 2 0
1 2 1
0 3 1
3 1 2
0 1 0
0 2 0
0 1 3
10 4
0 2 3
3 2 1
0 2 1
3 3 0
3 2 3
2 3 0
2 1 2
2 0 1
1 3 1
1 2 1
10 9
1 0 1
0 0 0
2 1 0
0 1 2
0 0 2
0 1 1
1 0 0
2 0 0
0 0 1
2 0 1
10 9
0 2 0
2 2 0
0 1 1
2 1 1
1 2 1
2 1 0
2 2 2
2 2 1
1 0 0
2 0 2
10 7
1 0 0
2 2 1
0 3 1
0 1 1
3 1 3
2 3 0
2 2 0
0 2 1
0 1 0
1 1 2
10 6
1 2 3
0 0 0
3 0 1
1 0 0
3 1 3
0 2 0
2 3 2
3 3 3
3 0 3
2 2 0
10 8
0 1 1
0 2 2
2 1 2
2 0 1
2 0 2
1 2 2
2 1 1
0 1 2
2 2 1
0 0 1
10 3
0 0 3
1 2 3
1 1 2
1 2 1
1 3 2
2 1 0
2 0 0
2 2 2
1 3 1
0 2 1
10 6
0 2 2
3 0 1
0 1 0
3 3 2
2 0 3
3 2 1
3 1 2
0 1 3
2 2 1
0 3 2
10 6
0 2 1
0 0 1
0 0 0
1 2 1
2 2 1
2 0 0
2 1 2
2 0 1
0 1 1
0 1 2
10 4
1 0 0
2 0 3
1 1 1
0 2 2
0 1 2
3 3 1
2 2 1
0 1 3
0 1 0
2 3 3
10 3
2 1 2
2 2 2
0 2 2
0 0 2
1 0 1
2 0 2
1 1 2
2 2 1
1 2 1
2 0 0
10 8
1 2 0
2 1 0
1 0 0
1 1 0
2 1 1
0 0 1
0 1 0
0 0 0
2 2 0
1 1 2
10 8
1 0 1
0 1 2
0 2 0
1 1 2
2 1 1
2 0 2
2 1 0
1 0 2
0 1 1
1 2 1
10 6
1 1 1
1 1 2
1 2 2
2 2 2
2 1 2
1 0 2
2 0 0
1 0 1
0 0 0
0 0 2
10 8
2 3 2
1 1 2
1 1 1
1 2 0
0 0 0
2 0 3
0 1 2
3 1 2
2 1 1
2 0 0
10 4
2 0 0
0 0 0
3 1 1
0 2 0
0 1 1
0 2 3
3 3 1
0 1 3
0 1 2
2 2 2
10 9
1 2 1
3 0 0
2 1 3
3 0 3
1 0 3
0 0 1
3 0 1
0 0 2
0 3 1
2 2 0
10 8
2 2 1
1 1 2
0 0 1
1 2 1
2 0 2
0 0 0
1 1 0
2 0 0
0 1 0
0 2 2
10 3
2 0 1
3 1 1
1 3 2
1 1 2
2 3 2
3 0 1
3 2 0
0 3 2
2 2 2
1 2 2
10 6
3 2 1
3 0 2
1 3 3
0 0 0
2 3 3
2 1 0
2 0 1
3 0 1
3 1 2
3 3 2
10 7
1 0 2
3 3 3
0 0 3
2 0 2
3 3 2
0 1 1
0 3 3
2 0 0
0 1 2
2 1 2
10 7
0 1 1
0 0 1
1 1 2
0 2 1
2 1 0
2 0 0
0 1 0
1 1 0
1 1 1
0 2 2
10 2
1 0 0
1 2 0
1 3 0
0 3 2
3 3 1
3 1 0
1 1 1
1 3 2
1 0 2
3 0 1
10 6
1 0 3
1 1 2
0 2 0
1 2 1
0 2 1
1 2 2
3 1 3
2 2 3
0 0 1
0 3 0
10 3
2 0 0
0 0 0
2 1 2
2 2 1
1 2 1
2 1 0
2 1 1
1 0 0
0 1 2
0 2 2
10 3
3 3 2
2 3 1
0 0 3
2 2 0
3 3 0
2 0 3
2 1 3
3 3 3
2 0 0
1 0 1
10 9
2 0 2
0 0 2
2 2 1
2 0 0
2 1 0
1 2 2
0 2 0
0 0 1
1 2 1
0 1 0
10 4
2 2 2
2 1 2
0 0 0
1 0 0
1 0 1
0 1 0
1 1 2
2 0 2
0 2 1
1 1 1
10 5
2 1 3
3 3 1
0 3 3
3 3 3
2 1 1
1 3 3
0 2 3
2 3 2
2 2 1
2 0 0
10 7
2 2 2
2 0 3
0 3 3
1 1 1
2 2 1
2 1 2
3 1 2
1 2 0
1 2 2
2 0 0
10 8
0 1 0
2 2 1
2 0 0
0 0 0
1 1 0
0 1 1
2 2 0
1 1 2
0 0 1
1 0 1
10 9
1 3 0
1 1 1
2 3 2
3 0 2
2 2 2
0 0 2
3 2 3
2 0 3
1 1 3
2 0 0
10 2
0 1 2
2 2 1
0 1 0
0 0 1
2 2 0
1 2 2
2 0 0
1 1 0
0 0 0
0 0 2
10 2
1 2 2
1 0 0
2 1 2
0 1 0
0 1 1
0 2 2
2 0 1
0 2 1
2 2 0
2 0 2
10 7
1 2 1
2 1 1
2 1 0
1 0 2
1 2 0
2 0 0
2 0 1
1 1 2
2 2 0
0 0 0
10 3
1 1 2
1 0 0
0 1 1
2 0 1
1 2 1
2 1 0
2 0 2
2 2 2
0 0 0
2 2 0
10 7
2 1 2
0 1 3
1 0 1
1 2 1
2 0 3
3 2 2
0 0 2
1 3 2
2 1 3
0 3 2
10 6
2 0 0
3 0 3
1 2 3
1 0 1
2 2 2
2 3 0
3 3 1
2 1 2
1 3 2
2 3 2
10 8
0 1 3
1 2 0
2 3 3
2 2 3
0 2 3
1 1 1
3 3 1
2 1 1
1 0 2
2 3 0
10 5
1 3 3
1 0 1
2 0 0
1 0 3
3 2 3
0 0 1
3 2 1
2 2 0
1 1 0
2 0 2
10 6
3 3 1
0 2 3
1 3 2
2 3 1
3 2 2
1 1 2
0 2 1
1 1 1
0 0 3
1 1 3
10 8
2 2 1
1 2 3
3 3 2
2 2 2
0 3 3
3 2 3
0 1 3
1 2 2
3 1 3
1 1 0
10 5
0 2 0
1 1 1
2 0 2
0 0 1
1 1 2
1 1 0
2 0 0
0 2 2
0 2 1
2 1 0
10 9
1 1 2
1 0 1
0 0 0
0 2 1
0 2 2
2 1 1
0 0 2
0 1 1
0 2 0
1 1 1
10 2
2 1 0
0 3 0
2 2 1
2 0 2
2 1 3
1 2 3
3 0 2
1 2 0
3 2 2
3 0 1
10 3
0 0 1
2 1 2
0 2 2
0 0 0
2 2 1
0 1 2
0 2 0
2 1 0
2 0 2
0 2 1
10 7
1 0 2
0 0 1
0 1 1
2 0 1
2 2 1
2 0 2
2 1 1
1 2 1
0 1 0
1 0 1
10 9
2 1 2
0 2 1
2 0 1
1 0 1
1 2 1
2 1 0
0 0 2
1 2 0
0 1 1
0 2 2
10 4
2 1 0
1 1 2
2 0 0
1 2 1
1 2 2
0 1 1
1 0 1
2 2 0
0 2 2
2 0 2
10 6
1 0 2
0 1 0
1 0 1
2 0 2
2 2 1
2 2 0
2 2 2
2 0 0
1 1 2
1 2 1
10 3
2 1 2
2 0 2
1 2 2
2 2 1
0 0 0
1 0 0
0 2 1
1 2 1
2 1 0
0 1 0
10 3
2 1 0
0 1 0
3 3 1
3 3 0
2 3 0
1 2 0
1 0 2
0 0 0
0 2 3
2 0 0
10 4
3 3 2
0 2 2
3 3 1
2 1 0
1 1 3
0 1 0
3 3 3
2 3 1
3 2 0
3 2 1
10 8
3 0 3
0 3 2
2 3 3
3 0 0
1 3 0
0 3 0
3 0 1
1 0 3
2 0 0
0 2 2
10 7
1 3 3
1 0 0
1 0 1
1 2 3
0 1 0
2 1 1
1 0 3
1 3 0
3 2 0
0 2 1
10 7
2 1 0
1 1 1
2 0 2
1 0 0
3 2 0
3 1 0
0 0 3
1 0 3
2 2 1
1 1 3
10 2
0 1 2
1 2 2
2 0 1
1 0 1
1 2 1
0 0 1
2 0 2
1 1 1
2 2 2
2 1 0
10 3
1 0 0
2 3 1
2 1 3
2 0 0
3 2 3
2 1 2
3 0 3
3 2 1
2 0 2
1 0 1
10 4
0 2 0
1 1 2
2 0 1
0 2 2
1 1 1
2 1 1
1 0 2
1 1 0
0 1 0
2 0 2
10 7
1 0 2
0 2 2
2 3 3
3 1 1
3 1 2
0 2 0
1 0 0
3 0 0
2 0 2
2 1 2
10 4
0 3 3
3 2 2
3 1 2
2 0 1
1 0 1
1 1 3
3 0 3
2 3 0
2 1 0
1 1 0
10 6
2 0 1
2 1 0
0 1 2
1 2 1
1 2 0
2 2 2
2 0 0
1 1 2
2 2 1
2 0 2
10 7
1 1 0
3 3 1
3 2 0
2 2 3
2 3 1
0 3 0
0 0 1
2 2 0
2 1 0
3 0 3
10 4
2 1 2
2 0 0
0 1 1
1 1 0
1 1 1
0 0 2
1 2 2
2 2 1
0 0 0
0 1 0
10 9
1 3 2
3 3 1
1 0 2
2 3 0
1 1 3
0 3 3
0 2 1
2 2 2
3 0 1
3 0 0
10 7
1 1 1
0 0 0
2 2 2
0 1 0
0 0 2
2 0 1
1 1 0
0 1 2
1 0 1
1 2 0
10 6
1 1 0
2 2 2
1 0 2
2 0 0
1 1 2
0 2 2
1 2 2
0 1 2
2 2 0
1 1 1
10 3
2 2 3
0 3 3
1 0 3
0 0 3
2 2 1
1 1 3
1 2 2
3 3 0
3 1 1
2 3 2
10 6
1 0 1
1 2 0
0 0 0
0 1 0
2 0 1
2 1 1
0 1 1
1 1 1
2 0 0
0 0 2
10 5
0 0 1
2 0 2
2 1 2
0 2 1
0 1 1
2 0 0
1 2 2
0 1 2
0 1 0
0 0 0
10 5
1 2 1
1 2 2
1 2 0
0 2 1
2 2 1
1 0 1
2 1 0
1 1 1
2 2 0
2 1 2
10 8
3 1 0
0 2 1
1 3 2
0 2 3
3 2 1
1 0 2
3 1 2
3 0 2
2 2 3
3 1 1
10 2
1 1 1
1 1 3
3 1 0
0 0 1
1 2 2
0 0 3
3 3 3
0 1 3
0 0 2
2 2 2
10 5
0 0 0
3 3 0
2 1 0
3 0 1
2 1 2
3 2 1
1 2 1
0 0 1
0 2 3
1 2 3
10 2
0 1 3
2 0 1
3 0 0
2 0 3
1 0 2
1 3 0
1 3 2
3 2 3
3 1 2
1 3 1
10 9
2 1 1
1 0 2
0 1 0
3 2 3
2 3 0
2 2 3
3 2 1
3 3 1
0 0 2
2 0 1
10 5
0 1 2
2 2 0
0 0 0
1 3 2
0 2 0
3 2 0
0 3 3
0 1 3
1 3 0
2 3 0
10 6
0 3 1
2 1 1
0 0 1
1 0 0
0 3 2
3 0 0
0 3 0
2 0 2
3 3 2
3 2 1
10 5
2 0 1
2 1 1
1 2 2
1 1 0
0 2 1
2 1 2
2 1 0
0 0 2
0 1 0
1 1 2
10 9
0 1 0
0 2 0
2 0 2
2 1 0
1 2 2
0 0 0
2 2 0
0 2 1
1 1 1
2 1 2
10 7
2 1 0
1 0 1
1 0 2
2 1 1
0 0 1
1 0 0
2 2 0
1 2 0
0 0 0
0 1 0
10 8
1 2 1
2 0 0
0 0 0
0 0 2
0 1 0
2 0 1
0 1 1
0 2 0
1 0 2
2 2 0
10 3
2 0 0
2 3 2
3 2 1
3 0 1
2 1 2
2 0 1
2 2 0
2 0 2
3 1 2
0 0 1
10 4
1 2 2
2 3 3
0 3 1
2 0 3
3 0 2
0 3 3
2 2 1
0 3 2
0 0 1
2 1 1
10 5
3 2 3
2 0 1
2 1 3
3 2 2
1 3 0
0 0 2
3 3 3
1 1 0
3 0 1
1 3 2
10 8
1 2 3
1 0 2
2 0 3
1 3 1
0 3 0
3 3 1
0 1 2
3 3 2
2 1 3
1 1 0
10 9
2 1 0
2 2 0
0 0 0
2 1 2
0 1 0
1 2 1
2 1 1
2 2 1
1 1 1
1 1 0
10 7
3 3 3
0 2 2
0 3 1
0 3 3
0 2 0
3 0 0
3 2 0
1 1 1
3 0 3
2 3 2
10 2
2 0 0
2 2 2
0 1 2
2 2 1
1 0 2
0 0 0
2 1 2
1 1 1
1 2 1
0 2 1
10 8
3 2 2
1 0 3
0 0 0
2 2 1
1 1 2
3 0 2
3 0 1
1 1 0
1 0 2
0 0 1
10 3
3 2 1
0 3 0
3 2 3
1 2 0
3 0 3
1 3 2
3 0 2
3 3 0
3 2 0
2 0 2
10 8
0 1 1
2 1 1
0 2 1
2 1 2
0 0 0
1 1 1
0 0 2
0 1 0
2 0 0
2 0 2
10 5
2 1 2
0 2 1
0 1 0
0 1 1
0 2 2
1 2 1
1 0 2
2 0 1
2 0 2
1 1 2
10 3
2 1 2
1 0 2
1 0 0
0 2 2
1 2 2
0 2 1
2 1 0
2 2 2
0 0 2
1 1 2
10 9
1 0 3
3 1 1
0 0 0
1 3 1
3 0 3
2 0 1
2 0 3
0 2 1
0 2 3
0 1 2
10 7
2 2 0
1 1 2
2 0 1
1 2 2
1 0 0
1 2 0
2 1 1
2 2 1
2 1 0
0 2 0
10 6
2 1 0
1 1 0
1 2 0
3 0 1
0 0 3
3 3 0
1 2 1
1 3 3
0 2 2
3 1 1
10 2
2 1 1
0 2 0
1 2 2
0 0 0
0 1 2
0 1 0
1 0 2
2 2 0
1 1 1
0 2 2
10 6
1 2 2
0 2 1
2 1 0
1 1 0
2 1 1
0 0 0
1 2 0
0 1 0
1 1 1
1 0 2
10 9
2 2 2
2 3 3
1 3 0
1 2 2
0 2 1
0 1 1
1 0 3
2 0 3
3 1 2
0 2 0
10 6
0 2 0
1 0 1
1 0 0
2 1 0
1 0 2
0 1 1
0 2 1
2 2 0
1 1 2
1 1 0
10 3
2 1 0
2 2 0
2 1 1
0 1 1
0 2 0
1 1 1
0 1 0
0 0 2
1 0 0
0 2 2
10 8
0 1 0
0 2 2
1 1 1
1 2 1
2 2 1
3 3 1
3 3 2
2 2 3
2 0 1
2 3 3
10 5
0 3 2
2 2 1
0 3 1
3 2 2
2 2 2
2 0 1
2 0 0
2 1 0
2 1 1
1 1 3
10 3
1 1 0
2 2 2
0 0 2
1 0 3
3 2 2
1 0 2
1 3 3
3 0 1
2 0 1
1 1 2
10 6
3 1 0
0 0 2
0 3 1
2 3 2
3 3 1
0 0 0
3 3 0
2 3 0
1 2 3
2 0 3
10 7
3 3 1
1 0 0
3 0 3
0 0 0
2 1 3
1 1 2
2 0 2
2 0 3
2 0 1
0 1 3
10 8
1 2 0
3 3 2
3 3 0
2 2 3
0 0 1
3 1 2
3 0 3
2 0 2
1 1 3
3 1 0
10 5
1 2 0
1 1 0
0 2 1
2 2 2
0 0 1
0 1 2
2 0 1
2 1 1
0 0 2
0 2 2
10 9
0 0 2
3 2 0
2 1 0
2 0 3
0 3 0
1 2 0
0 0 1
3 0 0
3 0 1
0 1 1
10 6
3 3 3
0 2 2
2 0 3
2 0 1
2 2 2
2 1 2
1 0 2
3 0 3
2 0 0
0 2 1
10 8
2 1 0
2 0 2
0 2 0
1 1 0
1 0 1
1 1 1
0 1 1
0 1 0
1 1 2
2 1 1
10 2
3 1 2
0 2 1
0 2 0
2 3 2
3 2 0
1 0 1
2 2 2
0 3 3
0 0 3
1 1 1
10 5
0 2 0
1 3 0
3 1 2
2 1 1
2 0 1
2 3 3
3 2 1
3 0 3
2 2 3
3 3 0
10 4
2 2 1
1 0 0
0 2 0
1 0 2
0 1 1
0 0 1
0 0 2
2 2 0
1 2 0
2 0 1
10 5
0 1 2
0 2 2
1 1 3
3 3 3
3 2 2
3 1 1
2 1 3
2 3 2
1 0 1
0 1 1
10 7
0 0 1
0 2 2
1 1 0
0 1 1
0 1 0
2 1 1
2 0 1
1 1 1
2 2 2
1 0 1
10 7
0 1 2
1 1 0
2 1 1
2 0 0
2 0 2
1 0 2
1 1 2
0 1 1
0 2 2
2 2 1
10 7
2 2 2
2 0 2
3 0 3
2 2 0
2 0 3
0 3 2
3 1 1
3 3 3
3 3 1
1 0 2
10 4
2 2 2
2 1 2
2 2 1
2 1 0
0 1 2
1 0 1
1 0 2
1 0 0
2 0 1
0 2 2
10 8
1 1 0
0 2 3
0 1 2
1 2 3
0 0 0
2 1 0
1 1 2
0 0 1
3 1 0
1 2 1
10 7
2 1 2
0 1 0
0 2 2
0 2 0
1 0 1
0 1 1
1 2 0
2 2 0
1 2 1
2 1 1
10 2
0 0 2
0 1 2
1 2 0
1 1 2
0 0 1
2 2 0
0 2 0
2 1 0
0 1 1
1 1 1
10 4
1 1 2
1 1 0
0 2 0
0 0 0
2 1 2
2 2 1
1 2 2
1 2 0
2 2 2
0 2 2
10 9
0 2 2
0 0 2
1 0 0
2 0 1
0 1 2
2 2 1
2 0 2
1 2 1
2 1 2
2 2 2
10 2
0 2 0
1 2 0
0 2 1
2 0 2
2 0 0
1 0 2
2 2 1
2 2 2
2 0 1
1 1 2
10 5
2 0 1
2 1 2
2 2 1
1 2 0
2 1 0
0 0 2
0 1 2
0 0 1
1 2 2
1 0 0
10 6
0 1 2
3 1 0
2 3 2
3 3 1
3 2 1
0 0 1
3 3 0
0 0 3
1 1 3
2 3 0
10 5
1 1 2
0 0 2
0 3 2
0 2 0
0 1 3
0 3 0
0 2 2
3 0 3
2 1 0
1 2 1
10 8
0 2 0
1 2 0
1 0 0
2 1 2
1 2 1
0 0 1
2 0 0
2 2 0
2 2 2
2 1 0
10 3
0 0 1
1 1 0
2 2 0
1 2 0
0 1 2
0 2 2
2 0 2
0 2 0
2 0 1
2 2 1
10 6
1 0 0
2 0 1
1 1 1
1 2 0
1 1 0
1 1 2
0 1 0
1 2 1
2 1 1
0 2 0
10 3
0 1 0
2 0 0
2 0 2
1 2 1
0 2 1
1 1 1
2 0 1
2 1 2
1 0 0
0 0 2
10 9
0 0 2
2 1 2
0 2 2
2 2 0
1 2 1
0 1 2
2 0 2
1 0 1
1 0 2
0 0 0
10 9
0 1 1
0 2 0
0 0 2
2 0 2
0 2 1
1 1 2
1 1 0
0 2 2
2 1 2
1 2 1
10 7
2 2 0
0 2 1
0 0 0
1 2 1
1 0 2
0 2 2
1 1 0
2 0 0
1 1 1
0 1 0
10 6
3 1 0
2 2 1
2 1 3
1 2 1
0 3 2
3 2 1
2 3 0
1 3 1
1 1 0
0 2 2
10 5
1 3 1
0 0 1
0 0 0
0 0 2
1 3 3
2 0 3
2 2 3
3 0 0
1 0 2
0 2 2
10 8
0 1 0
0 0 2
2 1 0
1 2 1
1 0 2
2 0 2
1 1 1
2 0 0
0 0 0
0 0 1
10 5
1 2 3
1 3 3
0 0 1
0 0 0
1 3 2
0 3 3
0 1 2
2 1 1
3 0 2
0 1 0
10 3
0 2 1
2 1 1
2 2 1
0 1 0
0 0 1
2 2 0
1 2 2
1 0 1
2 2 2
0 1 1
10 5
0 2 0
1 0 2
2 0 0
0 0 0
1 2 1
0 1 2
2 0 2
1 1 1
2 2 0
1 1 2
10 7
3 0 2
0 1 0
2 1 2
1 0 2
0 2 0
1 3 1
1 2 1
2 2 0
0 2 2
0 1 1
10 2
2 1 0
1 3 0
0 2 3
1 3 1
3 1 0
1 3 3
3 3 2
3 2 0
1 2 3
3 0 1
10 5
1 1 1
0 0 3
2 3 3
3 3 2
3 2 0
3 1 3
3 3 1
3 1 1
0 1 2
3 1 2
10 7
1 1 2
0 2 1
0 0 0
0 1 1
1 0 2
1 1 1
2 1 2
2 1 0
2 1 1
0 0 2
10 7
2 0 0
1 1 0
0 0 0
1 0 0
1 1 1
1 2 2
1 0 1
2 0 1
2 1 1
0 2 2
10 7
0 0 2
1 0 1
0 2 0
1 0 0
0 1 2
1 2 0
1 1 0
0 2 1
1 2 1
2 1 2
10 9
1 2 1
0 1 0
1 1 0
2 2 0
0 0 2
0 1 1
2 2 2
0 2 1
0 2 0
1 2 2
10 4
0 1 1
2 3 2
3 1 2
1 0 2
3 1 1
0 1 0
2 1 3
0 1 2
3 2 0
2 3 3
10 9
1 2 0
0 0 2
2 1 1
1 1 0
0 1 0
0 0 0
0 2 1
0 1 1
2 1 0
1 0 0
10 8
2 2 2
1 2 1
2 0 1
0 0 2
0 0 1
0 2 2
1 2 0
0 2 0
1 2 2
0 0 0
10 8
3 1 3
0 0 2
1 3 0
1 2 2
0 1 0
2 2 1
2 3 1
1 0 3
1 1 2
3 0 0
10 7
0 0 1
1 1 0
1 0 1
0 2 2
1 1 1
2 1 0
1 1 2
1 2 1
1 0 0
1 0 2
10 9
3 0 1
1 2 0
2 3 0
2 2 0
3 1 0
2 3 3
0 0 1
1 3 0
2 2 1
3 2 2
10 6
2 2 0
0 1 1
3 1 2
2 3 2
2 2 2
1 3 0
2 1 3
1 1 3
3 2 3
3 0 3
10 8
2 2 2
2 0 0
1 2 2
1 0 0
2 1 1
2 0 2
2 0 1
1 1 0
2 1 0
1 0 2
10 9
2 2 2
1 0 2
0 1 1
2 0 1
2 2 1
1 2 1
0 2 0
2 2 0
1 1 0
1 1 1
10 3
2 0 2
2 2 0
0 3 1
2 0 0
3 2 3
2 2 3
2 1 3
3 1 2
1 1 2
2 3 0
10 4
0 2 2
2 1 2
1 2 1
0 0 2
0 2 1
1 2 0
1 0 2
1 1 2
1 2 2
2 1 1
10 5
2 0 0
2 1 2
1 1 1
2 2 0
0 2 0
1 2 0
1 0 2
2 2 2
2 0 1
0 1 1
10 3
1 0 0
2 3 2
2 1 0
0 2 3
1 1 3
2 0 3
0 3 2
1 3 2
0 1 1
3 3 0
10 6
0 3 1
2 1 3
3 2 3
2 3 3
2 0 0
3 0 1
1 0 1
2 2 3
1 2 2
1 3 2
10 9
0 1 2
1 1 1
0 0 1
0 2 1
0 2 2
1 2 1
2 2 0
1 0 0
0 1 0
1 0 1
10 8
0 3 0
2 1 0
0 2 0
2 3 3
1 3 3
3 3 1
1 1 0
3 1 3
0 1 0
0 0 1
10 2
0 1 0
0 0 2
2 1 1
0 1 2
1 0 1
1 0 0
0 0 0
1 2 2
1 1 2
0 0 1
10 5
0 1 1
2 1 0
2 2 0
0 0 0
0 2 0
2 1 1
1 2 2
2 1 2
1 1 2
0 2 1
10 8
1 2 3
1 2 0
0 3 2
2 2 0
3 2 0
0 1 1
2 2 3
2 3 3
1 0 2
3 0 1
10 5
0 2 0
1 3 1
0 2 2
3 1 0
2 3 2
1 3 0
3 1 1
1 3 3
0 1 1
1 0 0
10 2
3 1 1
1 1 0
2 1 3
2 2 3
1 3 1
1 2 3
0 3 2
0 3 1
3 3 3
1 1 3
10 9
0 0 1
0 0 2
1 1 1
0 0 0
2 0 1
0 2 2
1 2 0
0 2 1
1 2 2
2 1 1
10 9
0 2 2
0 1 0
1 2 0
1 0 0
1 2 1
0 2 0
1 1 1
2 0 1
1 0 1
2 1 2
10 5
2 2 2
0 1 2
2 3 0
2 0 3
0 3 3
0 0 2
1 0 2
2 3 2
2 2 0
2 3 3
10 3
1 3 2
3 1 0
2 3 3
0 1 2
3 0 2
2 1 2
1 3 0
3 3 1
1 1 3
2 0 3
10 5
3 2 0
0 2 3
3 0 1
1 0 3
0 0 0
2 3 3
0 0 2
3 3 1
1 2 3
0 2 2
10 7
1 2 0
0 0 1
2 2 0
3 2 0
2 3 0
3 1 3
1 0 1
2 3 2
2 0 1
3 3 0
10 4
0 1 0
1 2 1
0 0 1
1 0 2
0 1 1
1 2 2
1 1 1
2 1 0
0 0 0
1 2 0
10 9
0 0 2
0 1 2
2 0 1
0 2 1
2 2 2
0 1 1
1 1 1
1 2 0
1 0 0
2 0 2
10 7
0 2 2
3 1 1
1 1 3
2 1 0
3 1 2
1 0 1
2 3 1
0 0 0
0 1 0
3 3 3
10 6
2 2 0
0 0 1
0 2 1
2 2 2
0 1 0
2 0 2
2 0 0
1 1 1
1 2 2
1 0 1
10 3
3 3 1
1 0 0
1 2 0
3 0 2
1 2 2
3 3 3
2 3 2
0 3 0
0 0 0
1 3 3
10 4
3 1 1
2 0 3
3 2 1
2 1 0
1 2 3
3 3 1
3 0 1
3 3 2
3 1 3
3 1 0
10 5
0 1 0
2 2 1
3 1 2
1 1 3
0 1 1
2 3 3
1 0 1
3 3 0
0 3 2
3 1 3
10 2
2 1 0
1 2 2
0 0 3
2 3 0
3 3 1
3 1 1
0 2 1
1 1 3
1 0 0
1 2 3
10 6
1 1 1
2 2 3
3 3 0
1 1 2
3 3 3
2 2 2
3 1 0
3 3 2
0 2 2
2 0 3
10 4
3 0 3
3 0 1
3 3 1
1 2 0
1 1 2
0 1 3
1 3 3
2 0 0
0 3 2
0 3 1
10 8
3 1 2
0 3 2
2 2 2
3 3 1
1 1 1
1 3 1
0 0 1
2 0 2
1 0 2
0 1 3
10 3
2 2 2
1 1 0
0 0 1
1 0 1
2 2 0
1 0 0
0 2 2
2 1 0
0 2 0
1 1 1
10 8
2 1 1
2 0 2
0 1 2
1 0 0
0 2 2
2 2 0
2 2 2
0 2 0
1 0 2
0 0 0
10 9
2 1 2
1 0 0
1 1 0
1 2 0
2 2 0
1 0 2
1 0 1
0 0 1
0 0 2
1 1 1
10 7
0 1 1
2 3 0
3 0 0
2 2 3
3 2 3
2 2 0
0 2 3
1 2 3
3 3 3
3 3 0
10 5
1 1 0
0 1 0
2 0 0
2 0 1
1 1 1
2 1 1
0 1 1
2 0 2
0 2 1
2 2 1
10 7
3 2 0
0 1 1
0 2 2
0 2 3
0 1 3
3 1 0
2 0 2
1 3 2
0 2 1
3 0 0
10 5
0 1 1
0 2 0
1 2 0
1 1 2
0 0 1
2 2 2
0 0 0
0 2 1
2 2 0
0 1 0
10 7
1 0 2
0 2 2
1 1 0
1 2 0
0 1 2
0 0 2
2 2 3
0 1 1
2 0 2
1 2 1
10 3
3 2 0
1 0 2
3 0 0
3 0 1
3 1 3
3 3 1
2 2 0
0 2 0
3 1 2
2 0 2
10 6
1 0 1
1 1 0
0 0 1
0 1 2
2 0 2
0 1 0
0 2 1
2 1 2
2 0 1
1 1 1
10 7
0 2 0
1 0 1
0 0 1
0 0 2
1 2 0
1 1 1
1 0 2
2 2 1
2 1 1
1 2 1
10 3
1 0 0
1 2 1
1 1 2
0 1 1
0 2 2
2 2 0
0 0 1
1 1 1
2 2 2
2 1 1
10 2
2 2 0
0 2 0
3 3 0
3 3 2
2 2 3
0 0 3
0 3 0
2 0 1
2 1 3
3 1 2
10 6
1 2 2
0 0 0
2 2 2
1 0 0
2 2 1
2 1 0
0 0 1
1 2 1
1 0 1
0 1 0
10 5
0 2 0
2 0 3
3 0 3
1 2 3
3 3 0
1 0 3
3 2 0
2 3 2
1 2 1
1 2 2
10 8
0 2 0
2 2 3
3 2 1
1 3 1
2 0 2
1 0 2
2 3 1
2 2 1
2 1 0
2 1 2
10 2
0 2 3
1 3 2
1 0 2
2 1 2
1 1 3
3 3 2
3 3 1
1 3 1
0 3 2
1 0 1
10 3
1 1 1
2 3 2
1 3 0
1 0 2
0 2 1
0 0 0
1 2 1
1 0 0
0 3 2
0 0 2
10 6
3 3 3
0 0 2
3 1 2
2 1 0
3 1 3
3 1 0
2 0 0
1 3 3
0 3 1
0 1 2
10 9
1 2 3
3 0 2
3 3 1
0 1 0
2 0 2
1 1 2
3 2 3
0 0 2
0 2 3
3 0 0
10 9
2 2 0
1 2 1
0 2 1
0 0 0
2 1 0
2 0 2
0 2 0
2 0 1
1 0 2
2 1 2
10 5
2 1 0
3 0 3
2 2 1
0 2 0
1 1 0
2 1 2
0 3 0
3 1 0
3 1 2
0 3 3
10 9
1 3 1
3 3 3
1 3 0
1 1 0
2 2 1
1 0 0
1 1 3
1 0 3
2 0 1
3 3 1
10 7
0 0 2
0 1 2
0 0 1
1 1 2
1 0 2
1 0 0
2 1 1
0 1 0
2 1 2
1 0 1
10 8
1 2 1
3 2 2
2 2 0
3 3 0
3 3 2
2 1 2
1 3 2
1 1 1
2 3 3
3 3 1
10 2
3 3 0
2 3 3
1 1 2
1 0 2
0 3 2
2 3 1
0 2 0
2 0 3
3 0 1
0 1 2
10 2
0 2 1
1 1 2
3 1 3
0 1 2
1 1 0
1 3 3
2 2 3
0 0 1
3 0 3
1 3 2
10 5
0 0 1
2 2 2
2 0 0
0 1 2
2 2 0
1 2 0
2 0 1
1 1 0
0 1 1
0 2 2
10 4
1 1 2
1 0 2
0 0 0
1 1 1
0 0 2
2 1 2
1 1 0
2 0 1
0 2 1
2 1 0
10 8
1 2 1
2 1 0
1 2 0
0 0 1
0 3 3
2 3 1
3 2 3
0 2 2
1 3 1
3 1 1
10 7
2 3 3
2 1 3
0 1 0
3 1 2
3 3 0
0 2 3
3 3 2
0 2 1
2 0 1
3 1 0
10 4
0 0 0
2 0 1
2 0 0
0 1 0
2 2 0
1 2 0
1 2 1
1 1 1
2 2 2
1 0 2
10 6
3 2 3
2 0 2
1 2 3
1 0 1
3 0 1
0 1 3
0 3 0
0 1 1
1 0 0
1 3 3
10 8
2 3 3
0 1 0
1 1 0
2 1 1
2 1 0
1 1 2
0 2 0
3 1 3
0 2 2
1 3 3
10 8
2 1 0
2 2 1
0 0 1
2 0 1
2 0 2
1 0 0
0 2 2
2 2 0
0 1 2
1 2 2
10 5
0 2 0
1 2 1
2 1 1
0 2 2
0 1 1
1 2 2
2 0 0
1 1 2
1 1 1
0 0 2
10 8
0 2 2
1 2 0
1 1 0
2 0 2
2 2 0
2 2 1
1 0 2
0 0 1
0 1 1
2 1 2
10 5
2 2 0
0 2 2
1 0 2
2 1 1
1 0 1
0 2 0
2 1 2
1 0 0
1 2 1
2 2 1
10 4
2 2 3
0 3 1
0 0 0
1 0 2
1 2 1
3 2 3
1 2 3
3 1 0
2 2 2
1 2 2
10 2
1 0 3
3 0 1
3 3 0
1 3 1
1 2 3
3 0 3
2 1 1
1 3 2
0 2 0
3 0 0
10 2
2 1 2
2 1 1
0 0 2
1 0 1
1 0 0
1 2 0
1 1 0
2 2 1
0 1 1
0 2 1
10 9
1 1 2
2 2 2
1 0 2
0 2 0
2 0 1
2 0 0
0 1 1
2 1 2
0 2 2
1 2 0
10 9
0 2 3
0 2 2
0 0 1
2 3 1
0 2 0
3 3 2
3 3 3
2 0 3
0 1 0
1 3 3
10 7
1 2 1
1 1 0
0 1 0
0 2 2
2 2 1
1 0 2
0 0 1
0 1 1
2 0 2
2 1 0
10 9
0 1 2
2 2 3
2 1 0
3 1 1
2 3 0
2 1 1
0 3 3
0 0 1
1 3 0
3 2 0
10 5
2 0 2
2 0 0
2 2 1
1 1 1
0 2 2
1 2 0
0 0 0
0 1 0
2 0 1
0 0 2
10 6
3 1 1
1 3 3
1 2 1
2 1 2
0 0 2
0 2 2
1 2 0
1 0 0
2 0 2
1 1 1
10 3
2 0 2
2 1 1
2 1 2
1 2 2
2 0 0
0 0 1
0 2 0
0 1 1
1 1 1
1 2 0
10 2
1 0 0
0 0 1
1 2 1
0 2 0
1 2 2
2 2 2
0 0 0
2 1 0
1 1 1
2 2 1
10 8
3 0 2
0 1 0
0 2 3
2 0 2
2 2 2
1 1 1
0 2 0
2 0 3
0 0 0
0 0 1
10 3
1 2 1
0 2 0
2 0 2
2 2 0
1 2 0
1 0 0
2 1 2
2 0 0
0 2 2
1 0 2
10 9
3 3 3
1 2 0
0 3 2
2 2 3
3 0 0
0 2 3
0 2 2
2 3 3
0 0 1
1 3 0
10 8
0 0 1
2 3 1
1 0 2
2 1 3
3 0 2
3 3 3
0 3 2
1 1 1
1 1 2
0 1 3
10 2
0 0 2
2 1 1
1 0 0
0 2 0
2 0 0
0 0 0
1 2 2
0 2 1
0 0 1
2 1 2
10 5
1 1 1
1 0 1
0 0 3
3 3 0
1 2 1
1 3 1
2 3 3
3 3 3
0 2 3
0 0 1
10 4
0 1 1
2 1 2
1 0 2
0 0 2
0 0 1
2 1 0
1 1 1
2 2 1
0 1 0
2 2 2
10 9
0 0 3
1 0 0
1 1 2
0 1 0
1 3 3
1 0 3
3 2 0
1 2 1
1 2 2
0 2 3
10 9
1 3 1
2 0 3
3 0 3
1 2 2
3 3 0
2 0 0
2 1 3
3 0 2
0 2 0
3 2 1
10 7
2 3 3
2 3 1
0 0 3
1 2 2
2 1 2
2 1 0
2 2 3
3 2 1
1 2 0
3 0 2
10 2
1 1 0
0 2 1
1 1 1
0 1 0
1 2 0
1 0 1
1 1 2
2 0 1
2 0 2
0 2 2
10 9
0 0 2
0 2 2
1 2 2
2 2 2
0 2 1
2 2 0
0 0 0
0 1 2
1 2 1
0 0 1
10 7
2 0 3
2 2 2
1 1 3
3 2 1
1 2 1
3 3 1
0 0 3
0 3 1
2 0 2
0 0 2
10 2
1 1 1
0 1 2
2 0 1
0 2 1
1 0 2
1 1 0
2 2 2
0 1 1
1 2 1
1 2 2
10 3
2 3 1
2 1 3
3 3 0
3 1 3
0 3 0
0 2 0
1 3 1
3 0 1
1 0 3
2 0 3
10 6
0 1 0
0 0 0
1 1 1
1 0 1
0 1 2
2 1 2
0 2 1
1 2 0
1 2 2
1 2 1
10 9
0 1 2
0 2 0
0 0 0
0 0 1
2 1 2
1 0 0
1 2 1
1 1 0
2 1 0
1 1 1
10 6
0 1 1
2 0 2
1 1 0
1 0 0
0 1 0
2 2 2
1 0 2
2 1 2
0 2 2
2 0 0
10 9
2 2 3
2 2 1
0 2 3
2 3 0
1 2 0
3 2 3
2 3 1
2 1 3
0 0 3
0 2 1
10 6
2 1 2
2 0 1
2 2 0
1 1 2
0 2 0
1 2 2
0 1 0
1 0 2
1 2 1
2 1 1
10 6
2 1 2
2 0 2
1 0 0
0 1 2
2 2 2
0 0 1
1 2 2
0 1 0
1 2 0
1 1 2
10 7
0 0 2
1 1 3
0 1 1
3 1 0
2 1 1
3 3 2
2 0 3
1 2 2
2 2 1
2 2 0
10 6
2 1 0
1 0 1
1 2 2
0 0 0
1 1 2
0 1 1
2 1 1
0 1 0
2 2 0
1 0 0
10 8
1 2 1
3 1 3
2 1 1
1 1 3
3 1 1
1 0 1
0 3 1
1 3 2
2 2 3
2 2 1
10 8
0 1 1
1 2 3
0 3 2
2 1 3
3 3 0
2 3 2
3 2 1
3 0 3
3 0 2
0 0 2
10 7
0 2 2
1 1 2
2 3 3
0 0 1
0 0 3
2 2 0
3 0 3
3 1 1
0 0 0
0 3 1
10 6
0 1 1
1 1 0
0 0 0
0 1 2
1 2 3
2 3 0
2 2 1
3 3 2
1 1 2
2 2 0
10 2
1 1 0
1 0 1
0 2 0
2 1 1
0 0 0
1 0 2
0 1 1
0 2 2
0 0 1
2 0 2
10 4
2 0 1
0 0 0
2 2 2
0 2 0
1 2 0
0 2 1
1 1 0
2 2 0
1 0 1
2 1 2
10 7
3 0 2
0 2 2
1 3 1
1 2 2
1 3 3
0 2 0
1 1 2
1 3 2
2 2 1
1 2 3
10 7
0 1 2
1 1 1
0 2 2
1 1 0
2 2 2
2 1 0
0 0 2
2 2 0
1 2 1
0 2 0
10 8
3 1 0
1 2 2
3 0 1
3 3 2
0 1 3
0 0 1
0 1 2
1 1 2
3 2 2
1 2 0
10 9
0 1 0
1 2 1
2 0 2
2 2 0
0 2 1
0 0 2
0 1 1
0 2 2
1 0 2
2 0 1
10 6
0 0 0
0 2 1
3 3 0
3 2 2
1 0 0
2 3 2
0 3 1
2 1 0
1 0 1
1 2 0
10 9
1 2 2
2 3 3
1 0 1
2 2 2
1 0 0
0 2 3
3 1 2
2 3 1
3 0 1
1 3 1
10 7
1 2 3
1 1 1
1 3 0
2 3 2
0 1 1
0 2 2
0 0 3
2 1 2
0 0 1
0 1 3
10 5
1 1 2
2 2 1
0 0 1
2 1 1
0 2 2
1 1 0
1 0 2
0 2 0
0 2 1
1 0 0
10 7
0 1 0
0 3 1
3 1 3
3 0 1
3 2 3
0 2 1
0 0 2
3 3 3
3 3 0
3 1 2
10 2
3 3 2
1 0 2
1 0 3
2 3 0
0 2 3
1 2 1
0 0 1
2 1 2
3 2 0
0 2 0
10 3
2 0 0
3 1 1
1 1 0
0 2 2
1 3 3
2 0 1
3 2 1
3 0 1
0 0 0
0 2 1
10 8
3 3 2
3 0 3
3 0 2
0 0 1
3 1 2
3 3 0
0 3 1
2 1 2
2 0 2
2 1 0
10 3
2 0 0
0 1 1
1 2 2
1 0 0
1 1 1
0 2 2
0 1 2
0 0 2
1 0 2
0 1 0
10 7
0 2 1
1 2 1
0 2 0
1 1 2
2 2 0
1 1 1
1 1 0
2 1 0
0 2 2
1 2 2
10 4
3 1 3
0 0 2
3 0 1
3 0 3
2 1 0
1 2 2
2 3 0
2 3 3
1 1 2
2 0 0
10 6
2 0 0
0 2 0
1 0 0
2 0 2
0 2 2
2 1 0
0 0 2
1 1 2
0 1 1
1 0 1
10 3
1 0 2
0 0 1
0 1 0
0 0 2
1 2 1
0 1 2
0 1 1
1 2 2
2 0 2
1 1 0
10 3
0 1 3
0 1 2
3 0 3
1 2 0
3 2 0
1 3 1
2 0 0
3 3 2
2 1 0
1 0 0
10 4
2 1 1
1 1 0
1 0 2
0 2 1
0 1 0
1 1 2
1 0 0
1 2 0
1 1 1
0 0 0
10 8
2 0 0
0 1 3
2 3 2
2 2 0
2 1 3
1 1 1
1 3 2
0 1 1
0 2 1
1 0 0
10 4
0 2 2
2 2 1
2 1 0
2 3 0
3 3 0
3 3 1
3 0 3
1 1 3
0 0 2
3 1 0
10 4
3 3 1
2 0 2
2 2 3
0 2 2
1 0 3
0 1 2
1 1 3
2 1 1
2 3 1
0 2 0
10 3
0 2 2
2 2 1
0 1 0
0 2 1
1 2 2
0 0 0
2 1 2
2 0 1
0 0 1
0 1 2
10 5
0 2 2
1 2 1
3 1 0
2 2 3
2 3 0
3 1 3
0 2 0
1 1 1
2 0 1
2 3 3
10 3
2 2 0
3 2 1
0 2 2
2 1 1
1 3 3
2 2 2
1 0 3
1 2 2
1 0 1
1 2 0
10 2
1 2 2
0 1 0
2 1 2
0 1 1
0 0 1
2 2 0
2 0 0
2 0 1
1 2 0
1 1 0
10 9
2 0 1
0 0 0
2 1 0
2 2 1
0 1 1
2 2 0
2 0 0
0 0 2
1 0 1
1 0 0
10 9
0 3 2
2 3 1
2 0 1
3 2 1
1 2 1
3 0 1
2 1 1
0 2 3
1 1 1
0 3 3
10 8
1 1 2
2 2 3
0 0 3
1 0 0
2 2 0
1 2 0
0 3 0
1 0 3
3 2 2
3 1 1
10 4
1 1 2
1 2 0
2 1 1
0 1 0
0 2 2
0 0 0
0 0 2
2 2 0
0 2 1
1 1 1
10 9
1 1 1
0 2 1
0 2 0
1 0 2
0 0 1
1 1 2
1 2 0
1 0 1
1 1 0
0 2 2
10 7
0 1 0
2 2 1
2 2 0
0 0 1
2 1 1
2 1 2
0 1 2
0 1 1
1 1 0
1 2 1
10 5
1 0 1
2 3 3
0 1 3
0 0 2
0 1 2
1 2 1
3 0 0
3 2 2
2 1 3
1 0 0
10 8
1 1 3
0 0 2
2 1 2
0 1 3
2 2 0
3 3 3
2 3 1
3 0 2
2 2 2
0 2 1
10 5
0 2 2
2 0 1
0 1 2
1 2 0
1 2 1
2 1 1
0 2 1
0 1 0
1 2 2
0 1 1
10 2
3 0 2
0 0 0
0 2 1
1 1 0
1 3 3
2 3 3
0 1 1
2 1 2
3 2 0
3 2 1
10 7
1 0 0
3 0 3
0 2 0
0 1 1
2 2 0
2 1 2
3 3 2
3 3 1
1 2 3
2 0 2
10 4
3 2 2
3 1 1
1 1 3
2 3 2
0 2 3
0 3 1
1 0 2
3 0 2
0 0 0
0 2 1
10 7
1 1 3
2 2 1
2 0 2
3 2 0
0 1 3
2 0 3
3 3 0
3 2 2
1 2 2
0 3 3
10 6
2 0 1
1 2 1
2 2 2
1 2 2
2 0 0
0 2 1
2 1 0
0 1 0
0 1 2
2 2 1
10 4
0 0 0
1 1 0
0 0 1
0 0 2
2 2 1
2 2 0
2 1 2
0 1 2
1 1 1
2 0 1
10 7
2 0 2
2 3 0
0 1 2
2 1 2
0 2 0
1 3 3
0 3 2
3 2 1
2 1 1
3 1 1
10 9
2 3 1
2 2 2
0 0 2
3 3 2
3 0 0
2 0 2
1 3 0
1 3 1
0 0 3
2 2 0
10 3
0 1 3
3 2 1
0 0 3
2 3 3
1 2 1
1 0 0
3 0 3
3 2 0
3 1 1
1 1 2
10 7
2 2 1
3 3 0
0 1 0
2 1 3
1 0 0
1 3 2
0 0 1
0 1 1
2 3 1
3 1 1
10 4
2 0 0
3 2 1
0 3 3
3 3 3
1 2 2
1 1 3
2 3 2
3 0 0
3 3 2
3 2 2
10 9
2 0 2
1 1 0
0 0 0
1 1 1
2 0 1
0 2 1
2 2 1
1 2 2
0 0 2
2 1 0
10 7
0 2 0
0 2 1
2 1 1
2 1 2
2 1 0
1 2 2
2 0 0
0 1 2
1 1 2
0 0 2
10 4
1 1 0
2 2 0
0 0 1
0 1 0
2 2 2
2 0 0
0 2 1
1 1 1
0 2 0
1 1 2
10 2
2 1 1
2 0 0
2 0 2
1 1 2
2 1 0
0 1 2
0 2 2
0 0 2
0 1 0
1 2 0
10 2
3 2 1
3 1 3
3 0 0
0 0 3
1 2 1
2 0 2
3 2 3
1 3 2
0 1 0
3 1 2
10 7
1 2 0
2 2 1
3 2 0
3 1 0
2 0 2
2 1 2
3 3 3
0 1 1
3 0 1
1 1 3
10 5
0 1 1
0 1 2
0 2 2
2 1 1
0 2 0
0 1 0
2 2 2
0 0 1
0 0 0
2 0 0
10 3
2 1 2
1 0 0
1 2 1
2 2 1
0 1 2
0 0 0
1 1 2
0 2 1
2 2 0
0 2 0
10 5
1 2 0
1 1 2
1 1 1
0 1 1
0 1 0
0 0 1
2 0 1
1 1 0
2 1 1
0 0 0
10 4
2 2 2
0 0 3
1 3 3
2 1 3
3 1 2
3 0 1
1 0 2
3 3 2
3 1 1
1 0 1
10 4
1 2 1
2 1 0
1 1 0
1 0 0
1 0 2
2 0 2
0 1 2
0 2 1
2 1 2
1 2 0
10 6
1 2 1
1 0 1
1 2 2
0 2 0
1 2 0
2 0 1
1 1 0
2 1 0
0 1 2
2 2 1
10 2
1 0 1
1 2 0
0 2 1
0 1 0
1 1 0
2 2 2
1 0 0
1 2 1
1 2 2
2 2 0
10 2
1 1 2
1 3 1
0 0 3
1 2 0
2 0 2
2 3 2
2 1 3
2 3 3
0 2 2
1 0 0
10 2
3 1 0
0 0 0
1 2 1
0 1 1
0 1 0
2 1 2
1 3 1
1 2 3
2 3 3
0 2 2
10 3
1 3 0
1 0 3
2 3 3
0 0 2
1 2 2
2 0 0
3 1 3
1 0 1
2 3 1
1 3 1
10 4
0 1 3
1 0 1
3 3 1
2 3 0
3 0 2
3 2 0
1 1 0
1 2 3
0 0 3
0 1 1
10 6
3 1 3
2 0 2
0 0 3
2 2 3
0 1 2
3 2 1
0 3 1
2 1 2
2 1 0
1 0 0
10 9
2 0 2
0 1 2
0 0 1
2 2 2
1 0 0
0 2 2
0 2 1
1 2 1
1 1 0
0 2 0
10 8
2 3 0
1 2 0
2 3 3
0 0 3
1 0 0
3 2 2
0 1 0
0 2 3
3 1 1
0 0 2
10 2
2 2 1
2 0 1
1 2 1
0 2 1
1 0 2
2 0 2
0 2 0
2 1 2
0 1 2
0 2 2
10 2
3 0 2
2 3 1
1 0 3
2 0 2
0 0 2
2 1 0
1 1 0
0 2 3
0 3 2
2 0 0
10 3
1 0 2
1 1 1
2 0 0
0 0 1
2 1 1
0 2 1
1 0 1
1 1 2
0 0 2
2 2 2
10 3
0 1 0
1 1 1
0 0 1
0 1 1
1 2 0
2 1 0
1 2 1
2 0 1
2 2 2
2 0 2
10 4
1 0 2
2 1 1
0 1 0
0 2 2
1 1 0
0 2 1
1 1 2
2 1 2
1 0 0
2 0 0
10 4
1 2 1
1 0 2
2 2 1
0 0 0
2 2 2
2 1 0
1 1 0
0 2 2
0 2 0
0 2 1
10 7
0 1 0
2 2 2
1 1 0
0 1 1
1 0 2
2 0 0
0 2 0
2 0 1
0 0 1
2 1 2
10 9
0 1 0
1 0 1
1 0 2
0 0 2
2 1 1
0 1 1
2 1 2
1 1 0
0 2 1
0 2 0
10 3
0 2 1
0 1 2
2 2 2
2 0 0
1 2 0
2 2 0
2 0 2
1 2 2
0 2 2
0 0 2
10 3
2 1 2
1 0 2
2 0 0
2 2 1
1 2 0
0 0 1
0 0 2
2 2 0
1 1 0
0 1 0
10 3
2 2 1
1 0 0
2 0 2
0 2 0
0 1 2
0 0 0
2 2 2
0 2 2
1 2 1
0 1 1
10 2
1 0 1
2 2 0
0 2 0
2 0 0
1 0 2
1 1 0
0 1 2
2 1 0
2 1 2
2 2 2
10 9
0 1 2
0 2 2
2 2 0
2 0 1
2 1 0
0 1 0
1 0 1
1 1 1
0 0 1
1 1 0
10 3
1 2 3
2 0 2
0 3 2
1 1 0
3 2 1
2 3 3
3 1 3
1 0 2
1 1 2
0 3 1
10 7
2 2 2
3 1 0
2 2 1
2 2 0
3 2 3
1 2 2
2 3 1
2 3 2
1 3 0
0 3 1
10 7
0 1 0
1 0 1
1 1 0
2 1 0
1 2 1
1 2 0
1 0 0
0 0 1
1 2 2
2 2 0
10 2
1 3 1
3 3 2
0 1 1
2 0 1
3 2 3
2 1 2
1 3 3
0 0 3
1 0 2
2 3 3
10 9
2 0 0
1 2 2
0 0 2
2 2 1
0 2 2
2 2 2
0 1 1
2 0 1
1 2 0
2 1 0
10 5
3 2 1
0 0 1
2 3 3
0 1 3
1 0 1
3 1 0
0 0 0
1 3 2
1 3 0
2 2 2
10 4
2 1 2
2 2 0
0 0 1
1 2 1
2 1 1
2 0 1
0 2 0
1 0 1
1 2 2
1 1 2
10 3
0 2 0
2 2 1
2 0 0
1 1 2
1 1 0
0 0 1
2 2 2
1 2 0
1 1 1
2 1 0
10 9
1 1 1
1 0 2
2 1 2
0 0 1
2 2 1
0 1 0
0 0 0
1 2 0
1 1 2
1 0 1
10 4
3 3 0
0 2 0
3 0 3
1 2 3
0 1 0
2 0 1
3 1 3
1 0 1
1 3 2
1 2 2
10 4
3 2 1
2 2 1
1 2 3
2 3 3
2 0 3
3 2 2
0 3 1
0 2 3
0 2 0
0 0 1
10 9
1 2 1
2 1 2
1 0 1
2 2 2
2 0 1
0 0 2
1 2 0
2 2 0
1 1 0
2 0 2
10 8
2 0 0
0 2 3
0 2 1
0 3 3
3 1 1
3 0 0
1 1 3
1 3 1
3 2 2
0 1 1
10 4
2 0 1
1 2 1
2 2 0
2 1 2
1 1 1
0 2 1
0 1 0
2 0 0
2 2 2
0 0 2
10 8
1 3 1
3 1 0
3 3 2
0 3 3
3 0 1
3 0 0
3 2 0
3 2 1
1 3 3
2 1 1
10 7
1 2 2
1 1 0
0 2 2
1 0 1
2 1 2
2 1 1
1 0 2
1 2 0
0 1 0
0 0 1
10 7
2 0 2
0 2 2
0 2 1
1 2 2
2 2 2
0 1 0
1 1 1
2 1 2
0 2 0
2 2 1
10 9
1 0 3
3 3 2
3 2 2
3 1 3
3 1 1
3 2 3
0 1 3
3 1 2
3 0 2
1 3 3
10 8
2 2 0
0 1 1
2 2 2
0 1 2
1 1 2
1 2 0
0 0 2
1 0 2
1 0 0
1 2 1
10 9
1 1 2
0 0 2
0 1 2
3 1 0
3 2 1
2 3 0
0 1 3
3 2 0
1 0 0
3 2 2
10 4
2 0 0
0 0 1
0 1 0
2 1 2
2 2 1
2 0 2
2 2 0
1 2 2
0 2 0
0 2 1
10 6
2 2 2
1 0 1
0 2 0
3 0 2
2 3 1
2 0 2
1 3 2
1 1 1
1 3 3
0 2 3
10 7
2 2 2
2 0 0
0 1 1
2 1 1
2 0 2
1 1 2
1 2 2
0 2 0
2 2 1
2 1 0
10 5
0 2 2
0 0 2
1 2 0
2 2 1
2 0 2
2 1 2
0 2 1
2 2 0
1 2 1
0 0 0
10 8
2 0 1
1 2 0
1 2 2
0 2 2
1 0 0
0 0 1
0 1 0
2 1 1
0 0 2
0 1 2
10 3
0 1 1
0 1 0
0 2 2
1 1 1
0 2 0
1 1 0
2 1 0
1 0 1
2 2 0
2 2 1
10 8
1 2 1
2 0 0
0 2 0
1 0 0
1 2 2
0 2 1
2 2 0
1 2 0
0 1 2
0 0 1
10 3
0 0 1
1 0 0
1 2 1
2 1 1
2 2 2
0 1 2
1 1 1
0 2 0
1 1 0
2 2 0
10 9
2 0 2
2 0 0
1 1 0
1 2 2
0 2 2
0 2 1
1 0 1
1 0 0
2 1 1
2 2 0
10 2
3 1 1
0 3 3
3 0 3
1 2 2
1 0 3
2 0 2
3 3 1
3 2 1
1 3 2
0 2 0
10 5
2 1 2
1 2 3
3 1 2
0 3 3
3 2 1
2 1 3
2 0 2
3 1 3
3 3 3
2 1 1
10 2
0 2 3
1 2 0
3 1 2
1 3 3
1 1 2
2 1 1
1 1 1
1 0 2
3 3 3
1 2 1
10 7
1 1 3
0 0 2
0 2 3
3 2 1
1 2 3
3 1 1
2 3 0
3 3 1
1 3 2
2 2 1
10 7
2 2 0
2 1 1
0 3 2
3 0 0
0 3 1
1 3 1
3 1 0
1 1 0
0 1 2
3 2 1
10 2
0 2 1
2 0 2
1 1 0
2 1 2
0 0 1
0 2 2
2 2 0
1 1 1
1 2 0
2 0 1
10 4
3 0 1
3 1 0
2 0 1
2 1 1
0 2 1
3 0 0
1 0 0
0 3 1
2 1 3
2 3 1
10 2
2 0 2
0 2 2
2 1 0
0 0 0
3 2 3
0 3 0
2 3 3
1 1 0
2 3 2
3 3 3
10 8
1 0 2
2 0 1
1 0 1
0 1 0
2 1 1
0 0 2
2 2 1
1 1 2
0 0 1
2 0 2
10 9
0 2 2
1 0 0
1 0 1
2 2 0
0 1 2
2 1 0
2 1 1
0 1 0
1 0 2
2 0 2
10 3
1 0 0
0 0 2
2 0 0
1 0 1
0 1 1
2 0 1
0 2 2
1 2 2
0 1 0
0 0 0
10 4
2 0 0
0 0 1
0 2 1
0 0 2
2 1 2
1 0 0
2 2 2
1 0 2
2 1 0
0 2 2
10 9
1 2 2
3 0 2
0 2 2
3 0 1
1 0 2
0 0 2
2 0 3
2 1 3
0 2 0
0 2 3
10 7
0 1 1
1 2 2
0 2 2
1 0 1
0 0 0
2 2 0
2 2 1
0 0 2
1 1 2
1 0 2
10 6
0 2 2
1 0 1
1 2 1
2 2 0
1 1 2
2 0 0
2 1 1
1 0 0
1 2 2
0 1 1
10 2
1 1 2
1 3 0
0 3 3
3 1 3
0 1 1
1 2 0
1 1 1
2 0 1
1 1 3
0 2 3
10 8
0 2 2
0 0 0
2 2 0
2 1 2
2 2 2
0 2 1
1 2 0
1 1 0
1 1 1
2 0 0
10 4
2 0 2
2 2 0
1 1 0
3 1 3
1 1 1
0 3 1
3 0 1
1 3 3
2 3 1
2 1 2
10 2
1 0 2
1 0 0
2 0 2
0 0 2
2 2 2
2 2 0
1 2 2
0 1 2
0 1 0
2 2 1
10 9
1 0 0
0 1 0
1 2 0
2 0 2
0 1 2
2 2 1
0 0 0
2 2 2
2 2 0
0 0 2
10 3
1 2 0
2 1 1
1 2 1
0 2 0
2 2 1
3 2 1
1 0 1
3 2 2
0 2 2
0 1 2
10 6
1 0 1
2 0 1
2 1 2
0 3 1
3 0 2
1 2 1
2 1 3
2 0 3
0 0 2
0 0 3
10 4
0 1 0
1 0 1
1 3 1
0 3 0
0 1 3
2 0 3
1 0 2
3 3 1
2 1 0
0 2 2
10 4
0 1 3
3 2 1
1 0 1
2 0 1
1 2 3
0 2 2
2 3 0
1 3 1
1 2 0
0 2 3
10 5
1 2 2
1 0 1
0 2 1
0 0 0
1 0 0
2 1 0
1 2 0
2 0 0
0 2 2
2 2 1
10 3
0 1 0
0 0 1
2 0 1
2 1 1
2 1 2
1 1 0
1 0 0
2 0 2
1 2 1
2 0 0
10 2
2 0 1
0 1 2
0 1 1
2 1 0
2 2 1
1 0 1
1 1 1
1 0 0
2 2 0
0 0 0
10 5
2 1 0
1 0 0
0 3 1
2 1 1
0 1 1
1 1 2
2 2 1
1 0 3
0 3 3
3 1 0
10 7
1 3 0
1 2 3
3 0 2
2 0 1
2 0 3
0 3 2
1 2 1
3 0 3
0 2 1
2 3 0
10 7
0 2 2
0 0 0
2 0 1
1 0 1
1 0 2
1 2 1
1 2 0
2 2 2
2 0 0
1 2 2
10 4
0 0 0
0 1 0
0 2 1
1 1 2
0 2 2
1 0 1
2 2 2
2 2 0
2 2 1
2 0 2
10 6
1 2 1
1 1 2
0 0 0
1 3 3
1 2 0
2 1 0
0 1 1
2 0 2
3 1 0
2 2 0
10 5
2 1 1
1 1 1
2 1 2
0 2 2
0 1 2
0 1 1
1 2 2
1 0 0
1 0 1
0 0 2
10 9
0 2 3
2 2 2
1 3 3
0 1 1
1 1 1
1 0 3
2 3 0
0 1 2
1 0 2
3 3 0
10 9
2 3 0
3 2 1
0 0 3
0 3 3
1 3 2
2 3 2
1 0 2
3 0 0
0 3 0
3 3 3
10 7
2 2 0
1 0 0
2 0 1
0 0 1
1 2 0
0 0 2
1 2 1
0 2 1
2 0 0
1 1 2
10 9
1 1 2
2 0 1
2 0 0
2 2 1
0 0 1
1 0 1
1 2 1
2 0 2
0 1 2
1 1 1
10 7
1 2 2
2 2 1
2 1 2
1 2 0
1 0 1
1 0 0
0 1 1
0 0 2
1 2 1
2 0 0
10 4
2 0 2
0 1 2
1 2 1
0 2 2
0 1 1
1 2 2
0 1 0
1 1 2
2 1 1
1 0 2
10 9
2 1 1
1 0 2
1 1 2
2 1 0
1 1 1
0 2 0
0 0 2
1 2 1
0 0 1
0 1 1
10 9
3 0 0
3 2 0
3 3 2
2 0 2
0 0 3
0 0 0
2 2 2
0 2 1
3 2 1
3 0 3
10 3
0 0 1
1 1 2
0 1 1
1 2 1
2 2 1
0 2 0
1 0 0
1 1 0
1 0 1
1 0 2
10 4
2 3 1
3 0 1
1 0 0
0 1 0
2 0 1
3 1 1
2 0 2
2 1 2
2 0 3
0 3 3
10 5
2 0 1
0 2 1
3 0 3
1 3 3
2 2 2
3 0 0
2 3 1
0 1 3
2 1 0
0 1 1
10 2
0 2 1
1 1 1
1 0 1
2 2 2
0 0 1
1 1 2
2 1 0
1 2 2
0 2 2
1 2 1
10 7
2 2 0
3 0 2
3 2 3
1 2 1
0 1 2
2 3 2
1 0 1
1 0 3
2 1 3
2 1 2
10 9
0 2 2
0 1 1
0 0 1
1 1 0
1 0 2
0 1 2
2 1 1
1 1 2
0 1 0
1 1 1
10 8
2 0 2
3 3 2
3 3 1
1 1 2
3 1 0
1 1 1
0 1 2
1 0 3
0 1 0
2 1 2
10 8
0 2 2
0 2 1
0 0 0
0 1 0
0 2 0
2 0 2
1 1 1
0 1 1
2 1 0
1 0 1
10 6
1 3 3
2 1 3
2 1 2
3 0 1
2 2 2
2 0 3
3 3 2
3 2 2
2 1 1
1 1 1
10 2
0 1 0
0 1 1
0 2 2
3 3 3
3 3 0
1 2 3
1 2 2
0 2 1
2 0 3
2 2 2
10 9
2 0 1
2 1 0
1 1 0
0 2 2
0 0 0
0 1 1
0 1 2
2 2 2
2 1 1
2 0 2
10 5
3 0 3
0 0 0
0 2 0
2 2 1
1 2 2
3 0 1
1 3 2
0 1 3
3 1 0
3 2 2
10 8
2 2 0
0 0 2
1 3 2
1 2 3
2 3 1
0 3 2
1 1 1
0 2 0
2 1 3
3 1 2
10 3
2 1 2
2 2 2
1 0 3
0 0 0
0 3 3
2 1 1
2 1 3
2 0 0
2 2 0
0 0 2
10 8
0 0 1
0 2 1
0 0 0
1 2 0
3 2 2
3 3 3
0 0 2
2 2 3
0 2 2
3 1 3
10 2
3 2 0
3 0 1
1 1 3
3 0 2
0 0 0
0 3 2
1 3 0
0 1 0
2 3 1
1 1 0
10 9
2 3 1
0 0 3
2 1 2
0 3 1
0 0 0
2 3 3
2 1 1
3 1 0
3 3 3
3 0 1
10 8
3 1 2
0 1 1
0 2 1
1 2 0
3 0 0
2 0 2
1 2 2
2 1 2
0 3 3
1 1 3
10 2
1 0 2
0 0 2
1 1 1
1 2 0
0 1 1
1 0 1
0 2 1
2 1 0
2 1 2
1 2 1
10 7
3 3 0
1 3 3
1 2 1
2 3 3
0 1 3
1 0 3
0 3 0
0 0 1
0 2 0
2 3 2
10 9
3 1 3
2 3 0
1 0 0
3 3 2
3 3 0
0 2 3
1 3 0
0 2 0
0 3 0
0 0 0
10 2
3 0 0
0 1 0
0 0 1
1 0 3
0 0 0
1 3 3
0 2 3
2 2 1
2 2 0
3 2 1
10 4
2 2 1
2 1 1
2 2 2
0 1 0
2 1 2
0 2 2
1 2 1
1 2 2
1 1 2
2 1 0
10 8
0 0 3
2 3 0
0 2 2
2 2 1
2 1 1
1 2 1
0 0 2
3 2 0
2 0 3
1 1 3
10 9
1 1 1
0 0 1
1 1 0
2 2 0
0 2 0
0 0 2
1 2 2
2 2 1
0 1 2
2 1 0
10 4
2 1 1
2 0 2
0 2 1
0 0 1
2 1 2
0 0 2
0 1 1
0 1 0
2 2 1
0 2 2
10 3
1 2 0
0 2 1
2 0 0
0 0 1
1 1 0
1 2 1
0 1 0
2 0 1
0 0 0
0 2 2
10 7
2 0 0
2 2 1
1 1 1
2 2 0
1 2 0
1 1 0
1 2 2
0 0 0
1 0 0
0 1 0
10 7
0 0 1
1 0 0
0 2 1
2 1 0
1 1 1
2 2 2
2 2 0
1 2 2
1 1 0
2 1 2
10 9
0 1 0
1 1 1
2 0 2
1 2 0
1 2 2
1 0 0
2 0 0
1 0 1
0 1 2
0 0 0
10 6
0 3 2
2 3 2
0 1 0
2 0 1
2 0 3
0 0 3
0 1 2
1 3 0
1 2 0
1 3 1
10 4
1 1 1
1 0 2
0 0 2
0 0 0
0 2 2
1 2 0
2 0 2
1 1 0
2 0 0
1 0 1
10 4
1 1 2
1 2 1
0 0 1
0 1 1
2 2 2
2 1 2
1 2 2
1 2 0
0 1 0
0 2 1
10 4
2 2 0
0 2 2
1 1 0
1 0 1
0 1 0
0 1 2
0 1 1
2 0 1
1 1 2
0 0 0
10 6
1 1 1
2 0 2
0 0 0
2 1 2
0 1 1
2 1 1
2 0 0
1 0 1
2 2 2
2 2 0
10 9
0 1 0
0 0 1
2 0 1
2 2 1
1 2 2
0 2 1
2 2 0
0 2 0
0 2 2
0 1 2
10 2
1 0 2
1 0 0
3 0 3
0 3 0
1 0 3
3 3 3
2 3 1
1 3 1
0 1 0
1 1 0
10 3
2 0 1
1 2 2
1 1 0
2 1 1
1 1 1
0 1 1
2 2 2
1 2 0
1 0 2
2 1 2
10 6
1 0 2
2 2 1
2 0 1
0 1 1
0 1 2
2 0 0
0 0 0
1 1 2
2 2 2
1 0 0
10 7
1 0 1
1 2 2
2 2 2
0 1 2
1 0 2
2 1 2
0 0 0
0 2 1
1 1 2
1 0 0
10 7
3 0 2
0 2 1
3 3 0
0 0 2
0 0 1
3 2 2
0 3 0
0 1 2
2 2 0
0 3 1
10 5
2 3 1
2 3 3
1 3 3
3 3 2
3 0 0
2 3 0
1 1 1
0 0 1
0 1 0
0 3 1
10 4
0 1 1
1 1 1
0 1 2
2 1 2
2 0 2
1 0 0
1 0 2
0 2 0
2 2 0
0 0 2
10 4
0 0 1
1 2 2
1 2 0
0 2 2
0 1 2
1 0 2
2 0 0
1 1 1
2 1 2
1 1 2
10 3
1 0 0
1 1 2
1 2 0
0 1 2
2 0 1
2 1 1
0 2 2
2 2 0
1 0 1
0 1 1
10 2
3 0 2
0 3 1
1 3 3
3 0 3
1 3 2
3 2 1
2 3 3
3 3 0
1 0 1
2 2 0
10 5
0 2 1
0 0 2
1 1 2
2 0 0
2 2 0
1 2 1
0 0 0
1 1 0
0 1 1
2 1 2
10 5
2 2 2
0 2 0
1 0 1
0 2 1
0 1 1
2 2 0
1 2 1
1 1 2
1 2 2
2 0 0
10 8
1 2 0
0 1 1
1 0 0
0 0 0
1 1 0
0 2 2
2 0 0
2 1 1
0 1 2
2 1 0
10 9
0 1 1
2 0 1
0 2 1
0 0 0
2 2 2
0 2 2
2 0 0
1 2 1
0 2 0
2 1 0
10 5
2 1 2
0 0 1
2 1 1
0 1 2
2 1 0
1 0 1
1 2 2
1 1 2
2 0 2
1 1 0
10 8
2 1 2
3 3 2
1 2 1
3 0 0
1 0 3
2 0 3
2 2 1
2 0 0
0 3 1
1 1 0
10 5
0 1 2
0 0 2
1 1 0
1 2 2
2 2 0
0 2 1
2 1 2
0 1 0
2 0 2
1 0 1
10 6
0 3 3
1 0 2
1 2 0
0 0 1
3 2 2
3 1 2
1 2 3
0 2 2
3 3 0
3 3 1
10 3
2 2 2
2 3 1
0 2 2
2 0 3
1 0 1
0 1 1
0 1 3
3 3 2
2 0 2
0 3 3
10 3
2 1 2
2 2 0
1 0 0
0 1 2
0 2 1
2 1 0
0 0 0
1 0 1
2 2 2
0 1 0
10 7
0 0 3
1 3 1
0 3 3
1 1 2
2 0 3
2 1 1
3 2 1
0 1 2
2 3 3
2 2 1
10 5
2 2 3
1 0 3
0 3 1
2 3 1
3 0 2
1 0 1
2 2 1
3 2 2
0 1 1
0 3 3
10 7
2 0 0
2 0 2
2 2 2
2 2 1
0 1 3
1 2 1
2 2 0
1 3 1
1 0 0
3 0 0
10 8
0 2 2
1 3 0
1 2 0
1 3 1
3 3 3
2 3 1
3 3 0
0 2 3
0 0 0
1 0 1
10 9
3 2 1
3 3 1
2 3 2
3 0 3
3 3 2
0 1 0
2 3 3
0 0 3
3 1 0
1 1 0
10 9
0 1 1
2 1 0
0 1 0
2 2 0
1 0 2
1 1 1
0 0 0
1 0 0
1 1 2
2 0 0
10 4
1 2 1
2 1 0
2 0 1
0 1 0
0 0 0
0 0 1
2 1 2
1 1 0
1 2 2
1 0 0
10 6
0 1 0
0 2 0
2 1 1
2 1 2
2 0 0
0 2 1
0 0 0
0 1 1
2 0 1
0 0 2
10 6
0 1 2
1 2 1
2 1 1
1 1 0
2 0 2
2 2 0
2 0 0
1 0 1
1 1 2
2 1 0
10 4
0 0 1
1 1 2
2 1 1
2 0 1
0 1 2
1 2 1
1 2 0
2 2 1
0 2 0
0 0 0
10 2
2 0 1
0 0 1
0 1 0
2 2 2
2 0 0
1 0 1
2 1 0
2 2 1
0 0 2
0 1 2
10 2
1 2 3
2 2 1
3 0 0
0 1 2
3 3 1
1 0 3
1 3 0
1 2 0
0 0 1
0 3 2
10 2
2 3 0
2 3 3
1 3 1
3 1 1
3 3 3
1 0 1
3 3 1
1 3 0
3 1 0
1 2 0
10 6
3 3 0
1 3 1
2 0 2
3 3 2
3 3 3
1 1 0
0 2 0
3 2 2
1 2 3
2 0 1
10 5
2 2 2
1 0 1
1 2 2
2 1 0
1 1 1
2 1 1
2 2 0
2 2 1
0 2 0
1 0 0
10 9
3 0 3
2 0 2
0 1 2
3 1 3
3 2 1
1 2 2
1 0 0
1 1 0
3 2 2
0 1 3
10 3
3 1 3
2 1 1
3 2 2
0 1 1
3 0 3
0 3 1
3 2 3
2 2 1
2 3 0
3 3 1
10 7
3 1 2
1 2 0
1 2 3
1 1 2
1 0 3
1 3 0
1 3 2
3 3 3
1 0 2
3 2 2
10 6
0 0 3
3 3 3
0 1 1
2 3 1
1 3 1
1 1 2
1 3 0
2 2 1
2 1 3
3 0 3
10 8
1 0 0
1 2 2
2 0 2
1 0 2
1 0 1
0 1 2
0 2 2
1 1 1
1 2 0
0 2 1
10 5
1 1 1
0 0 3
0 3 2
3 1 2
2 0 2
2 0 0
1 3 0
3 0 2
2 1 1
2 3 3
10 3
2 3 2
0 3 2
1 0 1
3 2 0
1 0 3
1 1 0
2 1 0
2 3 1
3 2 1
2 2 1
10 2
0 2 0
1 1 0
2 0 0
2 1 2
1 0 2
1 1 2
2 0 1
2 1 1
2 2 1
2 2 0
10 4
0 2 2
2 0 0
1 3 1
0 3 3
1 1 2
2 2 0
0 1 2
0 3 1
0 2 0
1 3 0
10 5
2 1 0
1 1 2
0 2 0
1 0 0
2 0 1
2 0 0
1 2 2
1 2 0
0 1 0
0 1 1
10 8
3 2 2
2 0 0
3 3 1
2 2 3
1 1 0
0 2 1
0 2 0
1 0 2
0 0 3
2 0 2
10 9
0 0 2
0 2 0
2 2 0
2 0 0
0 0 1
1 2 0
1 0 2
1 0 1
1 1 0
2 1 2
10 5
0 0 0
1 3 0
1 2 1
3 1 0
0 1 1
1 0 2
1 3 2
1 0 1
3 0 3
1 3 1
10 9
1 0 0
0 2 1
2 0 1
0 2 0
0 2 2
1 2 1
2 1 0
1 0 2
2 1 1
2 0 2
10 3
3 2 2
2 1 2
1 1 0
0 2 2
1 3 0
0 2 1
2 0 3
3 3 1
3 0 3
2 2 2
10 8
1 0 2
2 0 0
0 1 2
0 0 1
2 0 1
2 0 2
1 1 2
1 0 1
0 0 0
0 0 2
10 5
1 1 1
3 1 0
2 1 0
1 3 0
0 2 1
1 1 3
3 3 2
3 0 0
2 2 1
2 3 0
10 5
0 1 0
0 3 1
1 1 3
1 3 1
3 0 1
0 1 1
2 2 0
2 3 1
2 1 3
1 2 2
10 6
0 1 3
0 2 0
1 0 1
1 2 1
3 2 3
2 0 1
3 3 1
3 2 0
1 3 0
2 3 1
10 5
2 0 0
1 1 2
1 2 2
1 2 0
2 2 2
0 2 2
1 0 2
2 1 0
1 2 1
0 2 0
10 2
3 1 2
0 0 0
3 0 1
0 1 1
3 2 1
2 2 2
1 1 2
0 0 1
2 1 0
2 2 3
10 9
1 2 2
0 0 2
3 2 3
2 2 1
3 3 3
3 2 1
3 1 3
3 3 1
2 3 1
3 0 1
10 3
2 0 1
2 0 0
1 0 0
0 1 1
1 0 1
1 1 2
1 2 2
2 1 1
1 0 2
0 2 2
10 3
2 2 1
2 3 2
3 1 2
0 3 3
1 1 2
3 3 0
1 1 0
1 2 3
3 2 1
2 0 0
10 9
0 2 0
2 1 2
1 1 0
1 2 1
2 0 1
2 0 0
2 2 0
0 1 1
2 1 1
1 1 2
10 7
0 2 0
1 2 2
1 2 1
2 0 2
0 2 2
1 0 1
2 2 0
0 1 1
2 0 1
0 1 0
10 3
0 1 2
2 0 2
1 0 0
0 1 1
0 2 0
2 0 0
0 0 1
0 2 2
2 1 0
0 2 1
10 7
0 2 0
2 2 1
0 1 0
2 2 2
0 0 0
1 1 0
2 1 2
0 1 2
2 0 1
2 2 0
10 4
0 2 2
1 1 1
1 0 2
1 2 2
0 0 0
2 2 2
0 1 1
1 2 1
1 1 2
1 1 0
10 5
1 2 1
0 2 0
1 1 2
1 2 0
2 0 2
1 0 0
2 0 0
1 0 2
0 0 1
2 2 1
10 3
0 2 0
1 1 2
2 1 1
2 2 2
2 1 2
1 0 0
2 2 0
2 0 1
0 2 1
1 2 0
10 3
2 0 1
2 1 0
0 2 2
2 0 0
1 0 1
0 2 0
2 1 2
0 0 1
0 1 2
2 2 2
10 9
0 1 1
0 1 0
1 2 2
2 0 1
2 1 0
0 2 2
1 1 2
1 0 1
0 0 2
1 0 0
10 7
0 0 1
0 2 0
0 1 1
1 0 0
1 1 0
1 2 1
0 1 2
2 0 1
1 2 2
0 0 2
10 2
2 0 2
2 1 0
1 1 0
1 0 0
0 2 2
1 2 1
0 1 0
0 0 0
2 1 2
0 2 1
10 4
2 3 3
3 1 2
1 2 1
3 0 0
2 0 2
0 0 1
0 1 2
2 0 3
0 0 2
1 0 2
10 9
1 2 0
1 1 2
2 0 2
1 1 1
2 2 1
1 0 1
2 0 1
0 1 2
0 0 0
0 0 2
10 6
0 1 2
1 0 2
0 1 1
1 2 0
2 0 0
2 2 0
1 1 0
2 1 1
1 0 0
0 0 0
10 4
0 0 1
2 2 0
0 0 2
1 0 0
0 2 2
0 0 0
1 2 0
2 1 2
1 1 0
2 0 2
10 8
2 0 0
0 0 2
1 2 1
2 0 2
2 1 1
2 2 1
1 1 2
1 2 0
0 1 2
0 1 1
10 4
2 0 0
1 2 1
2 1 1
2 2 0
0 2 1
1 1 0
2 1 0
1 1 2
2 2 2
1 2 2
10 7
0 3 0
0 1 2
1 2 3
2 2 3
2 0 3
2 1 2
3 0 1
2 3 2
1 3 0
1 0 0
10 9
0 1 0
2 0 0
1 3 0
3 1 3
3 2 2
2 0 1
2 1 1
2 2 3
1 3 3
2 3 0
10 5
0 0 0
2 1 2
0 0 2
1 0 2
2 2 2
1 2 0
1 2 1
1 1 2
0 1 1
2 0 1
10 6
0 2 2
1 2 1
2 2 2
1 2 0
0 0 1
0 0 2
0 0 0
0 1 2
0 2 0
2 1 1
10 6
0 2 3
1 1 3
2 3 1
1 1 2
3 0 1
1 3 1
3 2 2
3 3 2
0 0 2
1 3 3
10 5
1 3 3
2 1 0
1 2 2
1 2 1
2 3 3
2 0 3
2 1 3
2 3 0
1 1 0
2 3 2
10 2
3 1 3
3 2 3
3 2 2
0 0 3
3 2 0
2 0 1
2 1 0
2 3 1
3 1 1
1 0 0
10 4
3 1 1
2 0 1
0 2 3
0 3 2
2 1 0
3 2 1
2 2 2
1 3 2
0 0 2
1 3 0
10 9
2 3 3
2 3 2
1 3 0
1 1 0
2 1 0
3 2 2
0 2 3
0 2 1
1 0 3
3 0 1
10 6
0 2 0
0 0 2
1 0 1
0 1 0
1 1 0
0 0 0
1 2 0
2 2 1
2 0 1
2 2 2
10 6
3 0 1
2 0 0
3 0 0
1 0 1
2 3 1
0 0 2
1 3 0
1 0 0
0 3 0
2 1 2
10 7
2 2 0
2 2 1
0 1 0
1 0 0
1 2 1
1 2 0
2 2 2
0 2 0
1 0 1
1 1 0
10 4
0 0 1
2 0 2
1 0 1
2 0 0
2 1 0
1 2 1
0 2 2
1 0 0
0 2 0
1 2 2
10 3
2 0 0
1 0 0
1 0 1
2 1 2
0 2 0
1 1 2
2 2 0
1 2 0
0 1 0
0 1 2
10 5
2 1 1
2 1 0
0 0 2
1 1 0
0 1 2
1 1 1
0 1 0
1 1 2
0 2 1
0 0 0
10 4
3 0 0
3 1 0
0 0 3
2 1 0
3 1 1
3 3 0
1 2 3
2 1 2
0 1 1
2 0 1
10 8
1 2 0
1 2 2
0 0 1
0 2 1
1 2 1
1 0 2
0 2 2
0 0 0
0 1 1
2 2 1
10 2
0 2 2
2 1 2
2 2 1
2 0 0
1 2 1
2 1 0
0 1 0
2 1 1
0 2 1
1 1 1
10 5
0 0 2
0 0 0
1 0 0
1 1 0
0 1 2
1 2 0
1 0 2
0 1 1
0 1 0
1 1 2
10 7
1 1 1
3 1 0
0 1 1
2 1 3
1 2 1
1 3 0
1 3 3
2 1 1
3 3 3
2 0 2
10 3
2 0 1
2 1 2
0 2 0
1 1 0
1 2 2
0 3 2
3 1 1
1 2 1
3 0 2
1 3 1
10 9
1 2 3
1 1 3
3 1 3
2 1 2
1 3 0
1 1 0
0 1 2
0 1 3
0 2 2
1 3 2
10 9
1 0 1
1 1 1
0 0 2
1 2 0
2 1 0
0 1 1
1 1 2
0 2 1
2 1 1
1 0 0
10 6
0 3 0
2 2 2
0 2 3
0 0 0
0 0 1
3 3 0
0 3 1
2 3 2
2 3 3
2 3 1
10 5
0 0 3
3 3 3
2 1 1
2 2 1
3 1 0
0 2 3
1 2 0
2 0 2
2 0 3
0 0 1
10 7
0 0 1
3 1 1
2 1 1
0 0 3
3 3 3
0 3 1
2 1 3
2 0 2
3 1 3
1 0 1
10 6
2 1 2
2 2 2
2 1 0
1 1 0
1 2 0
0 1 0
1 2 1
0 2 0
1 1 2
1 2 2
10 2
0 1 0
1 0 2
2 0 2
2 1 2
1 2 2
0 2 1
0 1 2
1 1 2
1 2 1
0 1 1
10 2
3 1 2
0 0 0
1 0 0
0 1 3
3 1 0
3 1 3
0 0 1
0 2 1
2 3 3
3 3 0
10 4
0 1 1
0 1 0
0 2 2
2 2 1
2 2 0
0 2 1
0 0 1
2 0 0
1 1 2
0 0 2
10 9
0 3 0
2 2 0
1 3 1
0 0 0
3 1 0
3 2 0
3 1 3
1 3 0
2 1 1
2 1 2
10 4
0 0 0
1 0 0
2 0 0
1 1 0
2 2 0
1 2 0
1 0 2
0 2 2
1 1 1
0 0 1
10 6
1 2 0
2 0 1
2 0 0
2 1 0
2 1 1
1 0 2
0 1 1
0 2 1
2 0 2
0 1 0
10 4
0 0 2
2 0 1
1 2 2
0 1 2
1 1 1
1 0 0
2 1 2
1 0 2
1 2 0
0 1 1
10 5
0 0 2
1 1 1
1 2 0
1 2 1
1 0 2
1 0 0
0 1 1
0 2 2
0 0 1
2 2 0
10 9
2 2 2
2 1 0
0 0 3
2 3 3
0 2 2
1 3 0
2 1 1
3 2 3
1 2 3
0 1 2
10 8
0 2 2
2 1 2
2 0 0
1 1 2
0 0 1
0 0 0
2 0 2
0 1 1
1 2 0
1 0 2
10 4
2 2 3
0 3 3
3 2 3
1 2 0
0 3 0
0 3 2
1 3 0
2 1 0
0 1 0
3 1 1
10 9
3 2 1
0 0 3
2 3 1
0 0 1
1 2 2
0 3 3
3 2 3
1 3 2
2 1 0
3 3 1
10 9
2 2 1
0 1 2
3 1 0
0 1 0
0 0 2
1 3 2
3 0 3
2 3 3
3 1 3
3 2 0
10 2
0 1 0
0 2 0
2 2 1
2 1 0
0 0 1
0 1 1
2 0 0
0 1 2
2 2 2
0 2 2
10 5
0 1 0
0 3 3
0 2 0
3 2 1
2 3 2
1 3 1
1 2 2
2 3 0
2 2 2
1 2 0
10 4
2 2 2
0 1 2
1 1 1
1 0 2
1 2 1
1 0 1
0 2 1
2 1 1
1 1 2
0 2 0
10 5
2 1 3
2 2 0
1 3 3
0 3 0
3 2 3
0 2 1
1 2 0
2 3 0
1 2 2
2 2 3
10 8
0 0 0
0 0 2
0 1 2
1 1 0
0 1 0
2 1 2
2 0 0
2 2 1
1 2 0
1 1 2
10 2
1 2 0
2 2 1
0 1 1
0 2 1
2 0 1
1 1 2
1 0 1
0 0 0
1 2 2
0 0 2
10 8
1 1 1
0 1 1
2 2 2
0 2 1
1 0 1
1 0 2
2 2 1
2 1 2
0 2 2
1 2 2
10 6
1 0 2
2 1 3
3 2 2
0 1 2
0 0 1
0 3 3
2 2 2
3 1 3
2 1 2
3 2 1
10 3
0 2 1
2 0 1
2 2 2
2 1 2
1 0 0
0 1 0
2 0 2
0 1 2
0 0 2
1 2 2
10 3
1 1 1
0 2 1
3 3 3
1 1 0
2 0 0
0 2 3
0 0 1
2 0 2
0 3 0
3 2 3
10 2
0 3 1
1 0 0
0 2 1
2 3 0
0 0 2
3 2 2
0 1 3
1 3 1
3 2 1
1 1 3
10 4
2 1 0
0 1 1
2 2 0
2 0 1
0 1 2
1 0 2
1 2 1
0 0 0
2 0 2
2 2 1
10 2
1 0 1
1 1 2
2 0 2
2 1 2
0 0 0
0 0 2
0 2 0
0 2 1
2 2 2
1 1 0
10 2
2 0 0
1 1 1
0 1 0
1 0 2
2 0 1
0 2 1
0 1 2
0 2 0
1 0 0
2 1 2
10 8
2 1 1
1 0 0
1 0 1
2 1 0
0 0 2
0 1 0
0 1 1
2 0 1
1 2 0
0 1 2
10 7
0 0 0
0 2 0
2 1 2
2 0 1
2 1 0
2 2 1
1 1 1
2 2 0
1 0 2
1 1 0
10 5
1 0 1
1 0 0
1 1 1
0 2 1
1 2 0
2 0 0
2 1 2
2 2 0
2 0 2
0 0 1
10 4
2 0 2
1 0 1
0 1 1
2 1 2
1 0 0
2 2 1
0 2 2
0 0 0
2 2 0
2 1 1
10 5
0 2 2
2 2 2
2 0 0
2 0 2
0 2 0
0 1 2
1 2 0
2 0 1
2 1 0
2 2 1
10 3
1 1 0
2 1 2
2 0 2
2 1 0
1 0 1
0 2 1
2 2 1
1 1 2
2 1 1
2 0 1
10 6
0 1 2
1 2 0
1 0 2
2 0 0
0 2 2
1 2 2
1 1 1
0 1 0
2 1 2
2 1 1
10 8
1 0 2
3 2 1
0 0 3
1 0 0
2 0 3
2 2 1
2 1 1
1 1 0
0 1 2
2 0 1
10 7
1 1 2
2 0 1
2 0 2
1 0 2
0 1 0
2 1 0
2 2 2
0 0 0
0 1 1
2 1 2
10 6
2 0 2
1 1 3
3 2 3
2 3 3
1 1 1
2 3 1
1 2 0
0 2 2
2 1 2
0 2 3
10 5
2 2 1
1 0 0
0 0 1
2 2 2
2 1 0
0 0 2
2 1 2
1 0 1
0 1 1
0 0 0
10 3
2 1 0
2 2 1
2 0 2
0 1 0
1 2 0
0 2 1
0 2 0
2 0 1
1 0 2
2 1 1
10 8
3 1 3
3 3 0
1 3 2
1 2 2
2 3 2
2 0 2
0 0 2
3 3 3
0 2 2
0 1 1
10 5
1 0 1
2 0 2
1 2 2
2 2 2
0 2 1
0 1 0
2 1 1
0 0 1
0 0 2
0 2 2
10 4
2 0 3
0 0 2
0 1 3
1 1 3
3 2 2
1 1 1
2 1 3
0 0 1
3 3 1
0 3 1
10 4
2 2 0
2 1 3
1 3 0
2 1 2
1 2 1
2 3 3
1 2 0
0 0 3
2 0 3
0 3 3
10 5
1 1 1
0 1 2
0 3 1
0 1 0
2 2 3
0 2 3
3 1 1
3 2 1
1 2 0
3 2 3
10 4
1 2 0
2 2 0
1 2 2
2 1 1
0 1 1
1 1 0
0 1 0
0 2 2
2 0 2
1 1 1
10 3
0 1 1
2 2 1
2 1 1
0 0 2
0 1 2
1 1 2
1 0 1
0 0 0
1 2 1
2 0 2
10 9
0 0 3
3 3 2
2 1 1
2 0 1
3 3 0
0 3 1
2 0 2
2 0 0
1 0 1
1 3 1
10 8
2 1 0
0 3 1
2 0 1
3 1 0
3 0 2
0 2 2
1 2 3
2 1 2
3 3 2
0 3 3
10 2
2 1 1
0 2 0
1 1 1
2 2 2
0 0 0
1 2 1
0 0 1
1 0 2
0 2 1
1 0 0
10 6
1 1 3
3 3 0
3 1 1
1 2 3
3 0 2
1 1 2
1 2 1
2 2 1
3 3 2
2 3 0
10 6
1 0 0
1 1 2
1 1 0
0 1 0
0 1 2
1 2 0
1 0 2
2 2 2
0 0 2
1 2 2
10 4
2 1 0
1 3 2
1 3 0
2 1 1
3 0 0
0 1 3
0 1 1
1 0 1
3 3 1
1 2 2
10 2
1 1 3
3 3 3
1 0 2
2 1 0
0 1 1
2 1 3
2 0 3
0 0 1
3 0 0
2 2 0
10 8
1 2 2
0 0 1
2 2 0
0 2 1
2 0 0
0 1 1
1 2 0
1 1 0
1 0 2
1 1 1
10 5
0 1 2
3 0 3
3 3 2
1 0 1
2 0 2
3 3 1
3 0 2
1 2 1
3 3 3
1 1 1
10 7
0 0 1
0 2 0
2 1 1
0 0 0
1 0 2
2 2 2
1 0 0
1 1 0
1 1 2
1 2 2
10 3
0 1 2
0 0 0
1 0 1
3 1 0
0 2 3
3 2 2
2 1 3
1 2 2
1 1 3
2 1 0
10 9
0 1 0
1 2 0
1 1 1
0 0 3
0 3 0
1 0 1
2 0 0
2 1 3
3 3 2
0 0 1
10 8
2 0 2
2 0 1
0 2 2
2 1 0
1 2 1
1 1 2
0 2 1
2 1 1
1 1 1
0 2 0
10 8
0 2 0
0 0 2
0 0 1
3 3 2
3 0 0
0 0 0
3 1 3
1 0 0
0 3 0
1 1 1
10 9
3 0 0
0 3 0
0 2 2
3 0 1
2 3 3
1 0 3
1 2 3
2 2 3
0 1 1
2 0 2
10 4
1 0 3
3 3 0
0 2 1
0 0 3
1 1 2
3 1 3
2 1 0
2 1 1
3 0 0
0 0 0
10 4
2 1 1
2 2 1
2 2 2
0 2 1
2 0 1
0 0 2
1 0 0
2 0 0
1 0 1
0 1 1
10 9
3 3 2
1 0 0
0 1 0
3 0 1
2 0 0
3 1 2
2 1 3
0 0 2
2 2 1
2 0 2
10 8
2 2 0
0 1 0
2 0 0
1 2 1
2 1 1
0 0 0
0 2 2
0 1 2
1 0 1
1 1 1
10 6
0 1 1
0 0 2
2 0 1
0 2 0
0 1 2
1 0 1
0 2 2
1 2 0
2 1 0
1 2 1
10 4
1 1 0
0 0 2
3 2 2
2 0 1
0 1 1
0 3 3
1 3 1
0 0 1
1 2 2
1 0 3
10 7
0 2 2
1 3 0
1 0 3
3 2 0
2 3 1
0 3 0
1 3 3
2 1 1
2 0 0
2 1 2
10 9
1 3 0
0 2 2
0 0 1
1 0 3
1 0 1
1 2 0
1 1 3
0 0 2
0 2 0
2 1 0
10 7
2 0 3
2 1 0
3 3 3
1 2 0
2 3 1
0 3 3
2 3 2
3 1 3
0 1 1
1 1 1
10 5
0 1 2
0 3 1
1 2 2
0 2 1
3 2 2
2 0 2
3 1 1
1 2 0
1 1 1
2 3 1
10 7
2 1 3
2 2 3
0 0 3
1 0 2
1 0 0
0 3 1
3 2 0
1 1 2
3 1 0
1 2 3
10 2
0 1 2
1 2 2
0 2 0
2 3 2
0 3 0
2 1 1
1 0 0
1 1 3
3 2 2
1 3 3
10 9
2 2 1
1 1 2
2 0 2
1 1 0
1 1 1
2 1 1
0 0 0
0 0 2
1 2 2
0 1 2
10 4
1 2 2
2 3 1
1 2 1
3 2 1
3 1 3
3 1 0
3 0 3
3 0 2
1 1 1
0 0 1
10 2
2 0 1
0 2 1
1 1 2
1 2 1
0 2 0
2 2 2
1 2 0
1 1 0
2 2 1
1 0 0
10 6
1 2 2
0 1 2
2 2 0
1 2 1
0 0 1
2 1 0
1 1 2
0 2 2
2 1 1
2 2 2
10 9
1 0 0
2 0 0
2 1 2
0 0 2
1 2 1
0 1 0
1 2 0
2 1 0
1 1 1
0 1 1
10 7
1 2 0
1 0 1
2 0 0
2 2 2
0 1 2
0 0 0
2 2 1
2 2 0
0 2 1
2 0 2
10 9
3 3 1
0 3 0
2 3 1
3 3 0
0 2 3
1 0 2
2 1 2
0 2 1
1 0 0
1 1 3
10 8
2 1 1
0 1 3
0 3 0
2 2 1
1 0 3
1 1 1
2 2 2
0 2 2
0 1 0
2 1 0
10 3
2 0 2
1 2 1
1 1 2
0 0 2
0 2 1
2 2 2
2 1 1
0 2 2
0 0 0
2 0 0
10 4
0 0 0
0 1 0
1 1 2
1 1 0
2 0 0
1 1 1
1 2 2
1 2 1
0 2 1
0 2 0
10 4
2 2 0
0 0 1
2 0 2
1 2 2
1 1 1
2 1 2
1 0 1
1 2 1
2 2 1
2 1 0
10 8
2 1 3
3 2 2
2 0 2
3 0 0
1 1 2
2 2 2
3 3 2
3 2 1
3 2 0
0 2 1
10 3
1 2 1
1 0 2
0 2 1
0 2 2
0 0 0
2 2 0
1 2 2
2 2 2
0 1 0
2 0 0
10 2
0 2 2
0 1 2
1 2 2
1 0 0
1 1 1
0 1 1
0 2 0
2 1 0
1 2 0
0 0 0
10 5
2 1 0
3 1 1
1 0 3
2 3 0
1 1 1
0 1 1
1 0 2
3 0 0
1 0 0
0 1 0
10 7
1 1 1
0 2 2
0 2 3
1 3 2
0 1 2
0 3 1
2 0 1
3 3 0
2 2 0
0 3 0
10 5
2 0 2
1 0 2
2 1 0
0 2 2
0 1 0
2 2 1
0 0 2
0 2 1
2 0 0
0 0 1
10 9
1 1 2
0 0 3
3 2 3
0 1 2
0 0 2
1 1 1
1 0 3
1 0 2
2 2 0
3 1 0
10 5
2 2 2
0 0 1
2 2 0
2 1 0
0 1 2
2 0 0
0 1 1
0 2 0
1 0 0
1 2 2
10 6
2 0 0
1 1 0
2 2 0
0 0 1
2 2 1
2 1 2
0 1 1
1 1 2
2 0 1
0 1 2
10 3
0 0 1
2 2 1
1 0 0
0 1 0
2 1 1
1 2 0
0 0 0
0 1 2
1 0 1
1 1 0
10 3
1 0 1
1 2 1
2 1 0
1 2 0
0 2 0
2 0 0
0 1 1
2 0 2
0 0 1
2 1 2
10 6
1 1 2
0 0 0
1 2 1
2 2 1
2 0 0
1 0 0
2 0 2
0 1 2
0 0 2
2 2 0
10 8
2 1 2
0 1 1
1 0 0
1 1 2
2 1 1
1 2 2
2 1 0
1 2 0
1 2 1
2 0 0
10 5
2 0 2
0 0 0
2 1 1
1 2 2
1 2 0
1 1 0
1 2 1
1 0 1
1 1 2
2 0 1
10 9
2 1 0
1 0 1
0 0 1
0 0 2
2 0 1
2 1 1
0 1 0
0 1 1
1 1 2
1 2 1
10 6
0 0 1
2 1 0
0 3 2
0 1 0
1 0 1
1 1 0
1 1 3
1 3 2
0 1 2
0 0 2
10 9
3 3 0
0 3 3
1 2 2
0 3 1
1 2 0
2 2 0
0 2 3
1 1 0
1 0 2
0 2 2
10 8
0 0 0
2 0 0
2 1 2
0 2 1
0 1 0
1 0 2
2 1 1
0 2 0
1 2 1
1 2 2
10 2
2 1 0
2 1 1
0 2 2
0 1 1
2 0 1
0 2 1
1 0 2
0 0 0
0 0 2
1 1 0
10 8
0 1 1
3 2 2
2 1 2
2 2 3
0 0 2
0 1 2
2 3 0
0 2 0
1 1 0
2 1 3
10 6
2 0 3
0 3 2
2 3 2
3 1 0
0 2 3
3 3 2
3 1 1
0 0 0
1 2 0
1 1 0
10 2
2 2 1
0 0 0
2 2 2
2 1 0
0 2 0
1 1 2
0 0 2
1 2 2
2 0 1
1 2 1
10 9
0 0 0
3 1 3
0 1 2
2 1 3
3 1 0
2 1 1
2 0 3
1 3 3
1 2 0
3 1 2
10 4
1 1 1
1 0 2
2 1 0
2 2 2
2 1 2
1 2 1
0 2 1
2 0 1
0 0 2
1 1 2
10 6
0 1 0
0 2 0
2 2 1
3 2 2
2 0 2
3 0 0
2 3 2
3 1 3
1 1 0
1 3 0
10 7
1 0 0
2 0 3
1 1 1
0 1 3
0 3 2
0 2 0
0 2 2
2 3 3
0 3 3
0 1 2
10 5
1 0 2
2 1 3
0 1 2
3 3 1
2 2 0
0 3 3
1 2 1
1 3 1
3 1 2
1 2 2
10 8
1 0 2
3 3 2
2 1 3
2 3 3
2 2 0
2 0 1
1 1 3
3 2 1
1 3 1
0 3 0
10 8
2 2 0
2 1 2
1 0 1
1 2 0
2 2 1
1 0 2
1 1 1
2 1 0
0 1 0
2 1 1
10 6
1 1 0
1 0 0
1 2 1
2 2 2
0 2 0
2 1 0
1 2 0
2 0 1
2 1 2
1 1 1
10 8
2 0 0
0 0 2
1 1 0
0 2 1
0 1 1
1 0 2
2 0 1
0 0 0
0 2 0
1 2 0
10 7
0 1 1
1 1 0
2 0 0
1 2 1
0 2 1
0 0 1
2 0 2
0 1 0
2 2 0
2 1 1
10 6
0 1 1
1 1 1
1 0 0
1 2 1
2 0 2
1 1 2
2 1 1
2 0 0
2 0 1
2 2 2
10 4
0 2 0
1 2 0
1 2 1
0 2 1
2 1 2
2 1 0
0 1 0
1 1 2
1 0 2
1 0 1
10 8
3 1 2
1 2 2
2 3 1
3 3 1
0 2 0
2 2 3
0 0 0
2 0 2
0 0 1
3 1 3
10 3
2 1 2
0 0 1
1 2 3
2 3 2
3 1 3
1 1 3
1 2 1
3 3 0
2 2 3
3 2 2
10 8
0 2 1
2 0 1
0 1 3
3 2 1
2 2 0
0 0 0
0 3 3
0 3 2
2 2 1
1 2 3
10 4
1 1 1
2 3 1
2 0 2
1 0 0
2 1 3
0 2 1
0 1 3
1 3 2
3 3 0
0 0 2
10 9
1 0 1
2 2 0
1 0 3
0 0 1
1 3 1
0 2 2
0 2 0
3 3 2
1 1 2
1 1 3
10 3
1 3 0
2 2 2
2 1 2
3 3 2
0 2 2
0 1 2
3 1 2
2 1 3
0 3 1
1 2 0
10 7
2 2 2
1 2 2
0 1 2
1 0 2
1 2 1
2 1 1
1 1 0
2 0 1
1 1 2
0 2 1
10 3
1 2 2
2 0 0
1 0 2
0 2 2
1 2 1
1 2 0
0 1 1
2 2 2
0 2 1
2 0 2
10 6
1 1 2
0 0 2
0 1 1
1 0 1
0 1 0
2 1 1
1 2 1
2 2 0
0 2 0
0 1 2
10 5
2 1 0
1 0 2
2 3 3
1 1 3
2 0 3
3 1 0
2 0 0
0 1 1
1 2 1
1 1 1
10 4
2 2 2
1 1 1
1 0 1
0 1 2
1 2 0
2 2 0
1 0 0
2 1 2
1 1 2
1 0 2
10 2
0 2 1
2 1 0
0 3 0
3 1 3
1 0 1
1 2 1
1 3 1
0 2 2
3 2 0
0 1 1
10 5
1 1 1
1 2 2
1 1 2
1 2 1
2 0 1
2 1 1
0 2 0
1 0 2
2 2 2
1 2 0
10 2
0 1 0
1 1 0
1 1 1
2 2 0
0 2 0
2 1 2
0 1 1
0 0 2
0 2 2
2 1 1
10 6
1 0 0
3 2 3
0 3 2
1 1 3
3 3 2
0 2 2
1 2 2
1 3 2
2 1 3
2 0 1
10 2
0 2 2
2 3 1
2 1 3
2 1 2
0 2 3
3 2 1
1 1 2
3 0 2
3 2 2
0 2 1
10 2
1 2 2
2 1 2
2 1 0
0 0 0
0 0 2
1 1 1
1 1 2
2 0 1
2 0 2
0 1 2
10 5
1 2 2
2 1 0
0 2 2
0 2 1
1 0 0
1 2 1
2 2 0
0 0 2
1 1 1
1 2 0
10 9
1 1 0
0 1 2
0 0 1
2 0 2
1 0 0
2 0 0
0 2 1
2 2 1
0 1 0
1 1 1
10 7
0 3 2
0 0 0
1 1 3
0 3 3
2 2 3
3 0 1
1 1 2
2 3 1
2 3 0
3 1 0
10 9
0 2 0
0 0 0
2 2 2
1 1 0
0 1 1
1 0 2
2 1 2
1 1 1
2 2 0
1 2 1
10 8
0 2 1
1 2 0
2 1 2
0 1 0
0 0 0
2 0 1
2 0 2
2 1 0
1 2 2
0 0 2
10 9
1 1 2
1 3 1
2 3 0
1 2 3
2 0 2
3 3 1
1 0 1
1 1 3
2 3 2
2 1 0
10 2
3 3 0
3 2 3
0 2 1
2 1 1
0 2 0
3 3 1
3 2 0
0 1 1
2 0 3
3 1 1
10 2
0 1 2
3 0 2
1 0 1
0 2 2
3 2 2
3 3 3
2 1 1
1 1 1
1 0 3
0 2 3
10 6
0 0 0
2 2 0
0 1 1
1 2 2
1 1 0
0 1 2
0 2 1
2 2 1
2 0 1
0 0 2
10 9
2 0 3
0 0 0
2 2 1
1 1 0
0 2 3
2 0 0
1 2 2
0 2 0
2 3 1
1 1 1
10 6
0 0 1
0 0 0
2 0 3
3 1 2
0 3 2
3 1 0
1 2 2
3 0 1
1 3 1
3 3 3
10 3
1 0 2
0 1 1
1 1 1
2 2 0
1 2 0
1 2 2
0 1 0
2 1 2
0 0 0
2 2 2
10 4
2 2 2
2 1 0
2 2 3
3 3 3
2 0 3
0 2 0
0 1 2
1 3 1
0 1 3
3 2 2
10 6
2 1 2
0 2 0
1 0 1
0 2 2
2 2 2
0 1 2
1 1 2
0 0 2
2 1 1
2 0 2
10 6
1 0 2
0 2 1
2 2 0
1 2 0
2 2 2
2 0 1
2 1 1
1 1 0
0 1 2
0 2 2
10 9
1 1 0
1 2 0
2 3 2
3 0 1
2 3 3
0 2 1
0 1 1
3 2 2
2 0 1
3 3 3
10 9
2 2 2
0 0 1
0 2 0
2 2 1
1 2 2
2 0 2
1 1 2
0 1 2
1 0 0
2 1 0
10 6
1 1 1
2 2 2
0 1 2
2 0 2
1 0 2
1 2 1
1 2 0
1 2 2
0 2 2
2 2 1
10 9
1 1 0
2 0 1
2 2 2
0 0 2
1 0 2
2 1 2
0 2 1
2 0 0
2 1 0
2 0 2
10 5
0 3 1
3 0 1
1 2 2
3 1 1
3 1 2
3 2 3
0 2 0
2 3 3
1 0 3
1 0 2
10 5
0 2 2
0 2 1
1 1 1
1 0 0
1 1 0
0 1 0
0 1 1
2 1 1
0 0 1
1 2 1
10 2
1 1 2
1 2 2
1 1 1
1 1 0
1 3 1
0 0 0
2 0 3
0 3 0
3 0 3
2 0 2
10 4
1 2 0
0 1 1
2 2 1
0 0 0
1 1 2
2 1 2
0 2 2
1 1 1
0 2 0
2 0 2
10 4
2 1 3
2 3 3
3 1 3
0 2 0
0 3 0
1 0 2
2 1 0
1 3 0
0 0 0
1 0 3
10 3
2 0 0
1 0 1
2 1 1
1 2 2
2 0 1
2 2 0
1 1 0
2 1 2
2 1 0
0 2 2
10 8
0 0 2
1 0 2
2 1 1
1 2 2
0 0 1
0 1 0
1 1 1
2 1 2
2 0 1
0 2 0
10 9
2 1 1
1 0 3
3 3 1
1 1 1
1 2 3
0 3 3
2 3 1
3 2 1
2 1 2
1 2 2
10 2
1 2 0
1 1 0
0 0 1
1 1 1
1 1 2
1 0 1
0 1 0
2 2 0
2 1 2
1 0 0
10 6
3 1 1
2 1 2
0 1 0
3 1 0
0 0 0
1 0 0
2 2 2
0 0 1
3 3 1
0 3 1
10 4
1 2 0
0 0 2
2 1 1
3 2 2
3 0 1
0 1 0
1 0 3
2 1 0
3 1 1
1 2 3
10 2
0 2 0
0 2 1
2 2 0
2 2 2
1 2 1
2 1 0
0 0 0
1 2 0
1 1 1
1 2 2
10 7
2 3 0
2 3 1
3 3 0
0 3 3
3 0 2
1 2 3
1 3 3
3 1 2
3 2 1
0 3 0
10 3
1 1 2
1 1 1
0 0 0
2 0 0
1 2 2
0 2 2
1 0 1
0 2 0
1 2 1
2 0 2
10 7
1 2 2
2 2 2
2 0 2
2 2 0
0 0 0
0 2 0
1 0 1
0 2 1
1 0 0
1 2 0
10 5
3 3 1
0 0 0
1 1 3
2 2 1
1 2 1
3 0 0
1 3 1
3 3 0
0 2 3
1 2 0
10 2
0 2 0
2 2 2
0 2 1
1 2 2
1 1 1
1 0 2
2 1 1
0 0 0
2 2 1
2 0 1
10 6
0 0 1
2 1 2
2 1 1
1 1 1
1 1 0
2 1 0
0 0 2
1 0 1
0 0 0
2 0 2
10 3
0 0 0
1 2 2
0 2 1
0 1 0
1 2 0
2 0 2
2 2 0
1 1 2
2 1 0
2 0 0
10 5
1 2 2
0 2 1
2 3 1
0 3 1
1 0 0
3 0 1
1 0 1
3 2 1
1 3 2
2 0 0
10 9
2 2 0
2 0 2
0 1 1
2 1 1
1 2 0
1 2 2
0 2 0
1 0 1
2 2 1
0 1 2
10 6
2 2 0
2 1 1
1 2 2
1 1 1
1 0 0
0 2 0
2 1 2
1 2 0
0 1 0
1 0 1
10 8
2 0 2
2 1 2
1 2 0
0 0 0
0 2 1
0 0 1
2 1 0
2 2 2
2 0 1
2 0 0
10 5
1 2 1
3 0 2
2 3 1
0 1 3
1 2 0
1 2 3
2 1 1
2 1 0
0 0 3
0 3 1
10 3
1 0 1
1 0 0
1 2 1
0 0 1
2 2 0
2 0 0
0 2 0
1 1 0
1 1 2
0 1 2
10 2
0 2 0
0 1 0
1 1 1
2 0 1
0 1 1
0 0 1
1 2 0
2 2 0
0 2 1
2 0 2
10 9
1 3 2
2 0 3
1 1 2
2 0 0
0 1 3
0 3 3
3 0 2
0 0 0
1 2 3
0 3 0
10 9
1 1 1
0 3 2
0 3 0
1 0 1
2 1 1
3 3 2
2 0 0
3 1 2
2 3 1
1 3 0
10 5
1 1 0
0 1 2
0 0 2
0 1 1
1 0 1
0 0 0
1 2 0
2 0 0
0 0 1
1 1 1
10 2
2 2 1
1 3 0
0 2 0
1 2 1
2 1 3
0 0 3
3 0 2
1 0 1
0 0 2
2 2 2
10 7
2 2 0
2 1 0
2 0 2
2 0 1
0 0 1
0 1 0
0 2 1
1 1 2
2 2 1
2 1 1
10 3
0 2 1
0 0 2
1 2 2
2 1 0
2 2 0
1 0 0
1 0 2
1 2 0
1 1 1
0 1 1
10 8
2 0 0
0 3 2
3 3 1
0 1 1
3 3 3
1 3 2
1 3 0
1 1 3
3 2 3
2 1 1
10 3
1 2 0
2 1 1
2 1 0
1 2 1
0 3 3
2 2 1
0 0 3
1 3 2
0 0 0
0 1 3
10 8
3 0 0
2 3 3
3 2 2
3 2 1
0 0 3
3 2 0
0 3 1
2 3 1
0 1 2
3 3 2
10 4
0 0 0
1 1 1
0 3 0
1 2 3
3 2 0
2 1 2
0 0 3
2 3 3
1 1 0
0 1 2
10 5
0 1 2
1 2 3
0 1 3
3 1 3
0 0 2
1 0 3
0 3 2
3 1 1
2 1 0
1 2 0
10 5
2 2 3
2 1 3
1 0 2
2 2 2
3 1 2
3 1 3
1 2 2
3 2 3
1 2 3
0 3 0
10 2
1 0 0
1 1 2
2 0 2
0 3 3
2 0 3
3 1 0
1 3 3
0 2 2
0 2 1
3 2 0
10 5
2 2 3
2 3 2
3 2 2
2 1 1
3 3 0
3 1 2
1 1 3
0 1 2
0 0 0
1 0 1
10 9
0 0 1
1 2 2
0 2 0
2 1 2
1 1 2
1 0 2
0 0 2
1 1 1
2 2 2
2 0 1
10 7
2 2 0
2 1 0
0 0 3
1 0 3
3 2 2
2 0 1
0 2 3
3 3 3
1 0 0
1 1 3
10 5
2 2 1
2 0 3
2 3 1
1 1 1
0 3 1
0 2 3
1 2 0
0 3 0
0 3 2
0 3 3
10 9
1 1 0
0 2 3
3 0 3
1 2 0
3 1 3
0 0 0
1 2 2
2 1 3
1 0 2
0 1 0
10 3
0 2 0
0 1 1
0 1 2
0 0 0
1 0 0
0 2 2
2 2 0
2 1 1
2 0 2
1 2 1
10 9
3 1 3
2 3 3
3 2 3
2 0 0
2 1 2
0 1 3
0 2 0
1 1 2
0 1 1
1 3 3
10 9
0 1 2
0 0 2
2 2 2
1 2 1
2 0 1
0 2 1
0 0 1
2 1 2
2 1 1
1 2 2
10 9
2 2 0
1 1 1
0 0 0
0 2 0
0 0 2
2 0 1
0 1 1
2 1 2
1 0 2
0 0 1
10 7
2 1 0
2 3 3
2 3 2
2 3 1
1 1 3
2 3 0
0 0 3
1 3 1
3 2 0
2 0 0
10 4
0 1 2
0 1 0
1 2 0
2 1 2
2 1 0
0 2 0
2 0 1
0 0 2
2 2 0
2 0 2
10 8
2 3 1
3 2 2
0 1 0
2 0 2
2 1 3
0 0 0
2 2 2
3 2 3
0 0 2
3 0 0
10 3
1 1 2
2 0 0
2 2 1
2 0 2
1 2 1
0 1 1
0 2 1
1 2 2
1 1 0
0 0 2
10 5
2 0 1
1 2 0
1 2 1
2 2 1
2 1 0
0 0 0
2 1 1
0 0 2
0 1 2
0 2 2
10 9
1 1 0
2 0 3
2 3 2
0 0 3
3 2 0
0 3 3
3 2 2
1 0 2
3 1 0
1 2 0
10 3
1 0 1
2 1 1
3 0 1
0 2 3
1 3 0
3 1 0
1 2 1
3 0 3
1 2 2
1 3 3
10 5
0 1 1
1 1 2
1 3 2
3 3 0
2 2 2
0 3 1
0 2 0
3 0 3
0 2 2
3 0 1
10 9
0 0 2
2 1 0
1 1 1
1 1 0
0 0 1
0 1 1
2 2 2
0 2 2
0 1 2
1 2 2
10 6
0 3 3
3 2 2
3 0 1
2 3 3
0 3 2
3 3 0
1 1 1
3 3 3
1 2 1
2 1 1
10 8
1 2 1
3 1 3
2 3 3
2 2 0
3 3 3
1 3 2
0 1 3
3 0 1
2 1 3
0 2 2
10 5
1 1 0
2 0 2
3 2 3
2 0 0
3 3 0
3 1 2
2 3 2
2 1 3
1 2 3
3 1 0
10 7
1 0 1
1 1 2
1 0 0
1 0 2
0 2 0
0 2 2
2 0 1
0 1 1
2 1 1
2 1 2
10 8
2 1 3
0 2 3
1 0 2
3 0 0
1 1 1
3 1 1
2 0 1
1 1 0
3 3 2
0 1 0
10 9
2 2 2
2 0 1
1 2 0
1 0 2
0 1 1
2 2 1
1 1 0
2 0 0
1 1 1
2 1 1
10 7
0 1 0
2 3 3
2 0 1
2 2 1
1 1 3
1 1 1
2 1 2
3 0 1
3 2 0
2 1 1
10 5
2 2 0
0 2 2
3 2 2
1 1 0
2 0 3
1 3 1
2 1 1
3 0 0
0 1 0
1 3 3
10 4
0 3 0
3 3 2
2 0 0
2 1 1
3 2 2
1 1 1
2 2 0
0 2 1
3 0 3
0 1 2
10 3
2 2 0
1 0 2
2 1 2
2 1 0
0 0 1
0 2 1
2 1 1
0 1 0
1 1 0
0 1 1
10 4
2 1 2
1 0 1
0 2 1
0 2 2
1 0 2
0 0 1
0 1 1
0 0 2
2 0 0
1 2 2
10 8
2 1 2
2 0 1
0 2 0
0 2 2
1 2 1
0 1 0
2 2 2
2 0 2
2 2 0
0 2 1
10 9
1 3 1
0 0 0
2 2 3
1 2 0
2 3 2
3 0 3
0 3 3
0 0 1
2 0 2
1 0 1
10 6
1 3 0
0 1 1
3 0 0
2 3 2
0 0 0
1 0 3
0 0 1
3 3 1
0 2 0
3 0 3
10 3
2 1 1
2 1 0
2 2 3
1 0 1
0 2 2
3 2 1
0 1 3
0 1 1
1 0 3
0 2 0
10 8
1 2 2
1 1 2
0 2 0
2 2 3
3 0 3
1 1 3
0 1 3
3 2 0
2 2 0
0 1 2
10 2
0 1 0
2 0 2
1 2 1
0 0 0
1 1 2
0 1 2
2 2 2
2 1 1
1 1 0
0 2 2
10 9
3 2 0
2 2 3
3 3 3
0 3 1
0 2 0
1 0 3
3 2 1
0 1 1
0 2 2
0 1 3
10 6
0 2 3
3 2 1
2 3 0
1 0 3
0 0 0
2 2 1
2 1 2
2 2 0
3 1 3
1 2 2
10 3
0 1 1
2 1 1
2 2 1
1 2 2
0 0 2
2 0 1
2 0 2
0 1 2
0 2 1
1 1 2
10 2
2 2 2
0 0 0
2 2 1
2 1 0
0 2 1
1 0 0
1 1 1
2 0 1
0 1 1
0 1 2
10 7
1 2 1
0 0 2
2 2 1
2 0 0
0 2 2
0 2 1
0 2 0
0 1 0
2 2 0
1 0 0
10 2
1 1 2
0 2 1
2 2 1
1 2 0
0 0 0
2 0 0
0 1 2
2 1 0
1 2 2
2 1 1
10 2
0 2 0
1 1 2
2 0 0
2 2 1
2 1 2
1 1 0
1 0 0
2 0 2
0 1 0
0 2 2
10 9
0 2 3
2 3 2
3 3 2
0 0 3
2 3 3
1 1 0
3 2 0
1 0 3
2 0 1
0 1 2
10 4
1 1 0
1 1 2
1 2 0
0 0 2
2 2 2
2 1 0
1 2 2
0 0 0
2 2 1
1 0 1
10 7
0 1 0
3 1 2
1 0 0
3 1 3
2 3 1
3 3 0
1 1 3
3 2 2
3 3 1
1 1 1
10 6
2 2 0
0 2 2
0 2 0
2 0 2
0 2 1
0 0 2
0 1 1
2 1 0
1 2 1
2 1 2
10 4
2 2 3
3 2 1
0 2 0
0 0 2
2 2 0
3 3 3
3 1 2
3 2 3
1 2 3
0 3 3
10 3
0 2 1
3 3 1
3 0 3
2 0 0
0 0 0
1 2 0
2 3 3
2 3 1
0 0 1
3 1 3
10 4
0 2 1
0 1 0
0 1 2
2 1 0
1 2 1
0 1 1
1 0 0
2 1 1
2 0 2
1 1 0
10 9
1 2 1
2 2 1
2 2 0
1 2 2
2 0 0
0 0 2
1 2 0
0 1 0
0 2 1
2 1 2
10 4
0 2 2
2 0 1
1 0 0
1 2 1
2 0 2
2 1 0
1 0 2
0 2 0
0 2 1
1 0 1
10 5
2 1 1
1 0 1
2 1 0
1 2 0
1 1 2
0 2 1
0 1 0
2 1 2
0 1 1
2 0 0
10 6
0 1 3
2 3 0
2 1 1
1 0 0
1 3 2
3 3 3
1 2 0
1 1 0
0 1 2
2 3 3
10 7
3 0 2
0 3 1
3 0 0
2 2 0
1 3 2
1 3 0
3 2 1
1 3 1
1 1 2
0 0 1
10 3
1 1 0
2 1 0
2 1 1
1 2 1
0 0 1
0 0 2
1 0 1
0 1 1
1 2 0
1 1 1
10 8
1 1 2
1 0 1
1 2 0
1 0 2
2 2 0
2 0 1
2 1 1
1 2 1
0 0 1
0 0 2
10 8
2 2 2
0 2 1
0 1 0
2 2 1
1 1 2
0 0 2
2 2 0
0 2 2
0 1 2
1 1 1
10 8
0 1 2
1 2 2
1 0 1
2 0 2
1 1 0
1 1 2
2 2 0
1 1 1
0 0 2
1 0 0
10 8
1 2 2
1 2 1
2 2 0
1 1 1
0 0 1
0 2 1
2 1 1
1 0 1
0 2 2
2 0 0
10 6
1 0 2
2 2 2
2 1 1
1 0 0
0 0 2
0 2 2
0 0 0
1 0 1
2 1 0
1 1 2
10 8
1 0 1
2 0 0
2 1 1
0 1 2
2 1 2
1 0 0
1 1 1
1 1 2
2 0 1
0 1 1
10 3
0 1 1
1 2 2
2 2 2
1 0 0
0 2 0
2 1 2
0 2 2
1 1 1
0 2 1
1 1 0
10 6
1 0 0
0 1 0
2 1 2
0 0 1
2 0 1
2 2 1
1 2 0
1 0 2
0 1 1
0 1 2
10 9
1 2 2
2 2 1
0 1 2
0 0 0
0 2 2
1 0 0
2 1 0
1 0 1
0 2 1
1 1 0
10 9
2 0 2
1 1 1
2 2 1
0 0 1
1 2 2
0 0 0
0 2 1
2 0 1
1 0 1
1 0 2
10 6
1 2 1
0 2 1
2 2 2
1 1 1
2 0 2
1 2 2
1 0 2
0 1 0
2 1 2
1 0 1
10 7
1 0 1
1 2 1
2 0 1
2 1 0
2 2 1
0 0 2
0 1 0
1 0 0
2 0 2
0 0 1
10 7
1 0 3
1 1 3
2 3 2
0 1 3
3 1 3
0 1 0
0 0 0
2 1 2
1 3 2
1 1 1
10 9
0 1 1
2 2 0
2 0 1
0 1 2
2 2 1
2 0 0
2 1 2
1 0 2
0 1 0
0 0 2
10 7
3 1 1
1 1 1
0 2 0
0 1 3
2 1 1
3 3 2
2 0 2
3 0 3
2 3 1
1 3 1
10 4
1 3 2
0 3 3
2 2 1
1 1 0
2 1 3
1 2 0
2 0 1
1 1 3
3 0 1
3 3 2
10 6
2 0 2
1 0 0
1 2 2
2 1 0
2 2 0
0 1 0
2 2 2
1 1 2
1 0 2
2 1 1
10 4
3 2 0
3 0 3
2 3 0
1 0 2
0 2 0
0 2 1
3 0 1
2 1 3
0 0 0
0 1 2
10 6
2 2 2
0 2 3
2 3 0
3 1 2
3 3 1
3 3 2
2 2 0
3 2 0
3 2 2
0 3 0
10 3
1 0 0
2 0 1
2 1 0
0 0 2
2 2 1
1 2 1
1 1 0
1 0 1
0 1 1
2 2 2
10 7
2 2 2
1 1 0
1 2 0
0 1 0
2 1 1
1 2 1
1 0 1
2 1 2
0 0 1
0 2 2
10 9
0 1 2
2 0 1
0 2 1
1 0 2
2 0 2
1 1 1
1 1 2
1 2 2
0 1 0
1 1 0
10 7
3 2 1
2 2 1
3 0 0
0 2 2
1 3 2
0 3 1
1 2 3
1 1 0
1 0 3
1 2 1
10 8
3 3 2
1 0 2
2 0 1
0 1 2
1 2 1
2 1 3
3 1 2
3 2 0
0 3 0
1 2 2
10 7
3 0 0
1 3 0
2 1 1
1 1 1
3 2 2
0 0 1
3 3 1
0 0 2
0 3 1
1 1 3
10 6
2 0 0
1 1 1
0 1 2
2 1 1
0 2 0
2 0 2
0 0 1
2 2 2
1 0 2
2 0 1
10 8
1 0 2
2 1 2
0 0 2
2 1 1
2 0 0
0 0 0
1 0 1
2 2 2
0 1 1
0 2 0
10 9
0 2 0
1 1 2
0 0 1
2 0 1
0 0 2
1 2 2
2 1 1
1 1 1
1 0 0
0 2 1
10 2
1 0 2
0 2 1
1 2 1
2 0 0
0 1 2
1 1 0
0 0 1
1 2 2
1 0 1
2 1 1
10 2
0 2 0
2 0 2
0 1 1
1 2 0
0 0 1
0 2 1
2 1 2
1 2 1
1 1 0
2 2 2
10 3
1 2 2
1 3 1
3 2 1
2 0 0
2 3 3
0 2 3
2 2 3
1 0 2
0 2 2
0 3 2
10 3
1 3 1
2 3 3
0 0 2
1 3 3
3 2 1
1 0 0
1 0 3
0 2 0
3 1 0
0 3 0
10 9
3 2 0
1 2 3
0 1 3
3 2 1
0 3 2
3 3 0
2 3 0
1 3 3
2 1 0
1 2 0
10 2
2 2 1
1 1 1
2 2 2
2 0 2
1 0 1
2 1 1
1 1 0
2 1 0
2 1 2
0 0 0
10 9
2 0 2
3 2 0
2 1 1
0 2 3
3 2 3
3 2 2
0 1 1
1 3 2
2 2 3
3 0 0
10 9
1 0 0
2 1 0
2 2 3
0 2 3
1 1 2
3 2 0
3 2 3
2 2 2
3 3 1
1 1 3
10 7
1 0 2
1 2 0
1 0 1
2 0 1
0 2 1
1 0 0
1 1 2
2 1 0
2 1 1
2 0 2
10 8
1 3 2
3 0 1
2 2 1
3 0 0
0 3 3
2 2 0
2 1 0
1 0 1
0 1 0
1 0 0
10 5
2 2 0
1 1 1
3 0 0
0 0 3
2 3 3
0 3 2
2 2 3
2 0 1
0 1 2
0 3 3
10 9
0 2 2
1 0 3
0 3 1
0 0 3
0 0 2
2 2 1
3 0 3
0 2 3
2 3 0
3 3 0
10 5
0 2 0
2 3 2
3 0 3
0 2 2
2 2 2
3 1 0
3 2 3
3 2 0
1 3 1
0 3 0
10 3
1 2 0
2 1 1
2 2 2
1 1 1
1 1 2
0 0 0
0 2 0
1 0 0
0 2 2
1 0 1
10 2
2 1 1
2 2 1
2 2 0
0 2 0
0 0 1
0 2 2
1 1 2
0 1 2
2 2 2
0 2 1
10 4
0 2 1
0 1 1
0 2 2
2 0 0
2 1 0
1 2 1
0 1 2
1 0 2
0 0 1
2 2 2
10 6
1 0 3
3 0 2
3 3 2
0 3 2
1 0 2
3 2 0
1 3 3
3 2 2
1 2 0
2 1 0
10 5
1 1 0
2 0 2
2 1 0
0 0 0
1 2 2
1 0 1
0 0 1
1 1 1
0 1 1
0 2 1
10 3
2 1 1
2 3 1
0 3 3
2 0 1
1 0 1
2 1 2
3 1 2
3 0 3
2 3 0
0 2 1
10 7
0 0 2
1 2 2
0 1 3
0 2 1
3 3 3
1 1 3
0 0 3
3 1 3
3 0 2
3 3 0
10 6
0 2 1
1 1 0
1 2 0
1 1 1
0 0 1
2 0 1
1 0 2
1 0 0
2 2 0
0 2 2
10 3
2 0 1
2 2 0
1 0 0
3 1 2
2 0 2
1 0 2
0 3 0
1 1 0
1 1 1
3 2 3
10 9
2 0 2
0 3 2
2 3 0
1 0 1
2 0 0
0 3 3
0 3 0
3 0 2
0 1 0
1 1 2
10 5
2 1 0
1 0 2
2 2 0
0 0 1
0 1 2
0 0 0
2 2 1
1 1 0
2 0 0
0 2 0
10 6
2 0 2
1 0 0
0 1 2
1 2 1
2 2 0
1 0 2
2 0 0
1 2 2
2 0 1
2 2 2
10 7
1 2 0
0 1 2
1 0 2
2 2 0
0 0 0
0 2 2
0 0 1
2 2 1
0 1 0
2 1 1
10 9
1 0 2
0 2 0
2 2 2
0 0 0
0 0 2
0 2 2
0 1 0
1 2 0
2 0 2
2 1 0
10 9
2 0 2
0 2 1
2 1 1
2 2 0
1 2 2
1 1 0
1 1 2
2 2 2
1 1 1
1 2 0
10 2
2 1 0
1 1 2
2 1 2
2 2 1
0 2 1
0 0 1
1 2 1
1 0 0
1 1 0
2 1 1
10 3
0 2 1
0 1 1
0 0 2
2 0 2
2 1 0
2 1 1
0 2 0
0 0 0
1 0 2
1 0 0
10 7
0 1 2
0 0 0
2 1 2
1 1 0
1 0 2
1 0 1
2 1 0
0 2 0
1 1 1
0 1 0
10 6
1 0 0
0 2 1
1 1 0
2 0 1
1 0 2
2 2 2
0 0 2
0 1 0
1 2 1
2 0 2
10 8
0 1 1
1 1 0
2 0 2
0 0 0
2 1 2
1 1 1
1 0 0
2 2 0
2 1 1
0 1 2
10 8
1 0 0
0 0 0
2 1 2
2 0 1
2 1 1
0 2 2
1 1 0
0 1 1
1 2 0
0 2 1
10 3
1 0 0
2 2 0
2 2 1
0 2 2
0 1 0
0 0 0
0 2 0
0 0 1
1 2 1
1 0 2
10 6
3 0 3
1 1 0
2 3 2
0 2 3
1 1 2
2 1 3
2 0 0
2 1 1
3 1 0
0 2 2
10 9
3 2 3
0 2 0
1 1 0
0 2 2
2 1 2
0 0 1
3 2 1
1 1 3
3 3 3
0 1 2
10 6
1 0 1
0 0 3
2 3 3
1 0 3
1 1 1
0 0 0
0 1 1
0 2 2
3 0 0
3 0 1
10 3
2 0 2
0 0 0
0 2 2
2 1 0
1 2 2
0 1 0
0 0 2
1 2 1
1 1 2
1 1 0
10 4
1 2 0
0 1 0
1 0 2
1 1 0
1 0 1
2 1 2
2 1 0
2 0 1
0 2 0
2 2 0
10 3
1 2 0
2 1 0
1 2 1
2 1 1
2 0 2
0 1 2
0 0 0
0 1 1
2 0 1
0 1 0
10 2
0 1 2
2 1 1
0 0 2
1 2 0
1 1 0
1 2 1
0 0 1
0 0 0
0 1 1
0 2 1
10 8
1 2 2
1 1 0
2 1 1
2 2 1
1 2 0
0 1 0
2 0 1
0 2 2
0 0 1
0 0 0
10 9
1 3 2
2 0 1
0 0 1
2 2 3
1 1 3
0 0 0
1 1 0
1 3 0
0 3 0
1 3 3
10 9
0 1 0
1 1 2
0 0 0
1 2 2
0 1 1
2 1 2
1 1 0
0 2 1
2 2 0
0 2 2
10 2
1 3 1
2 3 2
3 3 0
1 1 2
0 2 1
1 2 3
2 2 1
1 1 3
0 0 2
0 3 1
10 6
1 0 0
1 0 1
0 2 1
2 1 2
1 2 0
2 0 0
0 1 1
2 2 2
2 0 2
1 1 0
10 3
2 1 2
0 2 2
1 0 0
2 0 2
0 0 1
0 1 1
0 1 2
1 2 2
1 1 0
1 0 1
10 9
1 0 1
1 0 0
3 3 1
2 1 0
3 0 0
1 1 3
0 2 0
2 0 2
3 1 3
0 1 1
10 2
0 1 2
2 2 0
0 2 1
0 2 0
0 0 1
2 0 0
2 0 2
0 0 0
0 0 2
0 1 0
10 7
0 3 0
2 2 1
3 0 2
0 3 1
1 2 2
2 2 0
1 1 2
3 3 0
0 2 1
3 0 1
10 7
3 1 1
2 3 0
3 1 3
1 0 0
2 3 3
2 1 2
1 1 0
1 2 3
2 0 0
2 2 3
10 7
1 2 1
0 0 0
0 0 2
2 1 2
2 0 1
1 1 1
2 0 0
0 1 0
1 0 0
1 1 2
10 7
2 0 0
2 3 2
0 0 1
2 0 3
2 1 1
2 2 2
3 1 3
0 0 3
1 0 3
1 0 2
10 9
0 2 2
0 1 0
0 0 1
1 0 2
1 1 2
2 1 1
2 0 2
1 1 0
0 0 0
2 2 0
10 6
1 1 2
0 0 1
0 1 1
2 1 0
1 1 1
0 1 2
2 2 1
1 2 2
0 2 2
1 2 0
10 3
3 2 3
1 3 2
0 0 2
0 0 1
1 3 0
3 3 1
2 0 1
2 1 3
1 0 0
3 0 0
10 8
3 1 2
3 0 2
3 3 1
3 0 3
0 3 0
0 2 1
0 1 3
1 3 1
3 2 2
3 2 1
10 8
2 2 2
2 0 0
2 3 1
2 2 3
1 1 2
2 3 2
1 0 2
0 2 3
1 0 0
1 2 0
10 2
3 0 3
3 2 1
0 2 0
0 0 1
0 3 1
1 2 2
1 3 1
0 2 3
0 0 0
2 0 0
10 9
2 2 2
0 0 0
1 0 1
0 1 0
0 0 2
0 1 2
1 0 2
1 1 0
1 0 0
2 1 2
10 4
2 1 2
2 0 1
1 2 0
1 0 0
0 2 0
1 0 1
2 2 0
0 1 0
2 1 1
1 0 2
10 8
2 2 0
1 2 0
0 0 2
0 2 2
1 1 1
0 1 1
2 2 1
1 0 1
2 0 0
1 2 2
10 6
1 2 1
1 1 1
1 3 0
2 2 3
1 3 2
0 3 0
0 1 1
0 1 3
2 0 2
0 1 2
10 9
1 1 0
1 0 2
0 1 2
0 1 0
1 1 2
2 2 0
2 1 1
2 1 0
0 1 1
0 2 1
10 8
1 1 2
0 1 1
2 0 3
0 2 0
2 3 1
1 2 0
2 2 2
1 2 2
1 3 1
3 3 0
10 6
3 1 0
2 2 1
3 0 3
2 0 0
1 3 3
0 0 3
3 2 3
2 0 2
0 3 2
3 2 2
10 3
2 1 3
1 3 3
2 1 0
3 2 1
1 2 3
1 3 2
1 3 0
1 1 3
3 0 1
0 1 1
10 9
2 1 1
0 2 2
0 1 0
0 2 1
0 0 1
2 0 0
1 0 1
1 2 0
0 1 2
0 1 1
10 8
0 3 0
0 0 1
0 2 1
0 1 3
2 1 1
2 3 3
0 2 0
3 3 3
3 1 2
3 1 0
10 5
0 3 3
3 0 1
2 3 2
2 2 2
3 0 0
2 2 0
0 2 1
1 3 3
2 1 0
0 2 3
10 6
1 2 2
1 1 2
0 2 1
2 2 2
2 0 2
0 0 1
2 1 0
1 0 0
2 0 1
1 1 1
10 3
1 2 1
1 0 1
0 0 0
0 2 0
2 0 2
2 2 0
0 0 1
2 1 1
0 1 2
1 0 0
10 4
0 0 0
1 2 1
2 1 1
1 1 2
2 0 2
0 1 0
2 2 2
1 0 2
2 1 0
1 0 0
10 4
2 2 2
0 2 0
1 2 2
2 0 2
2 1 0
0 1 0
1 0 2
1 2 1
2 0 0
1 0 0
10 4
1 2 0
0 2 1
2 0 0
1 0 2
0 1 2
2 1 1
1 1 2
0 0 1
2 0 2
0 2 2
10 5
1 0 0
2 1 2
1 0 2
2 1 1
0 0 0
1 1 2
1 2 2
1 1 1
2 0 1
0 1 0
10 4
2 2 0
0 0 1
0 2 2
1 2 0
2 0 1
0 2 0
1 1 2
0 1 2
0 1 1
0 0 0
10 5
2 1 0
1 1 0
3 1 3
1 3 2
1 3 0
0 1 2
1 1 1
0 2 1
1 3 1
3 0 3
10 9
2 1 1
0 0 2
0 2 1
0 0 0
2 2 0
0 2 2
1 1 1
2 0 0
0 2 0
2 1 0
10 6
1 0 2
0 0 1
0 0 0
0 2 1
0 1 0
0 2 2
1 1 0
1 2 1
0 0 2
1 2 0
10 2
0 1 2
0 0 1
2 0 1
0 1 1
2 0 2
0 1 0
2 1 1
1 1 0
2 2 2
2 1 0
10 3
1 3 2
3 0 3
3 2 2
2 2 0
2 2 2
0 2 3
0 0 1
0 2 2
3 0 1
0 0 0
10 5
2 3 2
1 1 1
1 2 2
2 2 1
1 2 3
1 0 3
3 2 2
2 1 3
1 0 0
2 0 3
10 2
0 0 0
0 2 1
1 2 2
1 2 1
0 1 1
1 1 1
0 0 2
0 0 1
2 2 2
1 2 0
10 6
2 3 3
3 0 2
1 3 1
3 0 0
2 1 2
3 2 2
3 2 3
0 2 0
2 2 3
3 3 2
10 4
3 2 3
2 2 0
3 2 1
2 2 1
3 1 3
1 3 0
1 2 3
0 1 1
0 3 2
2 3 3
10 5
2 0 0
3 3 0
0 3 2
0 3 1
2 3 2
3 1 0
1 3 3
2 3 0
1 0 3
0 1 0
10 3
0 0 3
1 0 0
3 3 0
1 2 0
1 1 0
1 0 3
0 2 3
3 2 0
2 0 2
2 2 3
10 4
3 0 0
1 0 0
2 0 3
0 1 1
2 2 3
1 0 2
1 1 0
3 0 2
3 1 2
1 3 2
10 5
1 0 3
2 3 1
3 2 3
1 3 0
0 2 1
1 0 1
1 2 3
1 1 0
2 3 2
3 2 2
10 2
0 2 1
0 1 0
3 1 0
1 1 0
1 0 2
1 3 2
3 2 2
3 0 0
3 3 3
1 1 2
10 6
2 2 1
1 0 0
0 0 0
1 1 1
0 1 0
2 1 1
2 0 1
2 2 0
2 0 0
0 0 2
10 6
0 1 2
1 1 0
0 1 1
1 0 0
2 0 1
2 2 0
2 2 2
2 2 1
2 0 0
1 2 2
10 9
2 1 1
1 0 3
1 3 1
3 3 0
1 2 0
2 0 1
1 1 1
0 3 2
2 3 3
3 1 2
10 6
1 1 2
0 1 2
1 0 1
1 0 0
0 0 1
0 1 1
2 2 2
2 0 2
2 2 1
1 2 1
10 4
3 0 2
2 1 1
1 3 2
0 3 0
0 0 2
1 0 3
3 2 3
2 1 3
2 2 2
0 1 2
10 2
0 1 2
1 2 1
2 0 1
0 0 0
1 2 2
2 2 2
2 0 2
2 2 1
1 0 0
0 1 0
10 8
2 0 1
0 0 0
1 2 2
1 1 0
0 1 2
1 0 0
2 0 2
2 1 2
2 0 0
0 1 1
10 7
2 0 1
2 0 2
0 0 1
1 2 2
1 3 1
2 1 3
1 2 3
3 1 0
1 1 0
3 0 2
10 6
0 1 2
1 3 0
3 3 1
0 2 1
2 2 2
2 1 2
1 3 2
1 2 3
2 3 0
1 0 0
10 5
3 0 1
3 1 0
3 1 2
2 3 0
3 3 2
2 2 1
1 1 2
1 1 3
3 2 3
1 3 1
10 4
2 2 2
0 0 1
0 3 1
1 0 1
3 3 1
1 2 0
0 2 0
0 3 0
1 1 2
3 1 3
10 7
0 2 2
0 2 0
0 1 0
2 2 2
1 0 2
1 1 2
1 0 0
2 2 1
1 2 2
0 1 2
10 6
2 2 2
0 1 2
1 0 0
1 1 0
1 0 2
1 2 2
2 1 2
0 2 1
1 2 1
0 1 1
10 3
0 2 0
2 0 2
1 0 0
0 0 1
2 1 2
2 2 0
0 1 1
1 2 1
0 2 1
1 1 0
10 9
1 2 0
1 1 0
2 0 0
0 0 1
2 1 1
0 1 0
0 2 0
2 2 0
1 1 1
1 2 2
10 3
2 1 2
0 0 2
2 0 0
0 1 2
2 1 1
1 1 2
1 1 0
1 0 0
0 0 0
2 1 0
10 2
0 2 1
1 1 0
2 2 2
1 0 1
1 1 2
2 1 2
1 2 0
1 2 2
2 0 0
2 1 1
10 7
2 2 2
0 2 2
2 1 2
2 1 0
1 2 1
1 1 1
0 0 2
1 1 0
1 0 2
0 2 1
10 9
1 0 1
1 2 0
1 3 1
3 2 2
3 3 0
2 0 1
1 2 3
1 0 0
1 3 3
1 1 2
10 2
0 2 2
1 2 1
0 1 2
0 1 1
2 1 0
0 0 0
1 0 0
1 2 0
2 2 2
0 2 0
10 8
0 2 0
1 0 0
2 0 3
3 1 2
1 1 3
1 3 0
2 1 3
3 0 3
2 3 3
3 3 0
10 5
1 0 1
1 2 2
2 2 2
1 1 1
1 0 2
1 2 0
2 0 0
0 2 1
0 0 0
2 2 1
10 2
2 1 1
2 1 0
0 2 1
1 1 2
2 0 2
1 0 1
1 1 1
1 0 2
1 0 0
2 2 2
10 4
2 3 1
0 1 1
1 1 2
0 1 0
0 0 1
1 2 3
3 1 0
0 3 0
0 3 1
1 3 1
10 9
1 3 0
2 0 1
2 3 0
0 1 0
2 3 3
3 3 2
0 0 3
1 0 3
1 1 2
1 1 1
10 9
0 2 0
0 2 2
0 2 1
0 0 1
1 0 2
0 1 0
1 2 0
2 1 2
1 1 0
2 0 2
10 4
1 0 0
2 2 1
2 0 1
2 0 2
2 1 2
1 0 1
0 0 2
1 2 1
1 2 0
0 2 1
10 7
0 0 0
0 0 2
0 2 3
3 3 0
3 0 0
2 3 1
3 0 1
1 2 0
3 2 0
1 2 3
10 8
2 0 0
1 0 1
1 1 1
2 1 2
1 1 0
0 2 1
0 2 2
1 2 2
0 0 0
0 2 0
10 8
2 1 0
3 1 2
0 3 1
0 2 2
3 0 1
2 3 1
0 2 3
0 1 1
2 1 2
0 3 3
10 5
0 3 3
0 2 3
3 1 1
0 3 2
2 2 0
1 3 1
1 1 2
1 0 0
3 2 1
0 3 0
10 7
0 0 2
2 0 0
2 2 1
0 1 1
2 1 0
2 2 2
2 1 2
1 2 2
0 2 0
2 2 0
10 3
3 2 1
1 0 1
3 1 3
3 3 3
1 2 3
1 3 1
1 2 1
2 0 1
0 2 1
1 0 2
10 4
2 0 1
1 0 0
0 1 2
1 0 1
0 0 2
0 2 2
2 2 1
1 0 2
1 1 0
0 0 0
10 9
1 0 0
1 0 1
2 1 1
0 0 2
2 2 0
1 1 0
2 0 0
1 0 2
0 0 0
2 1 2
10 3
0 0 1
1 3 0
0 3 2
2 1 3
1 1 2
0 3 1
1 0 0
2 0 2
0 2 2
1 0 1
10 8
3 0 1
0 0 3
2 2 3
1 0 0
0 2 3
0 1 1
1 1 3
1 3 3
2 0 1
3 1 2
10 8
0 3 2
3 0 3
1 1 1
0 3 0
2 0 2
3 0 0
2 0 1
0 0 3
2 1 0
1 0 3
10 7
1 0 2
1 1 0
1 1 2
0 1 0
1 2 0
1 3 2
2 0 0
3 1 3
0 3 1
0 3 0
10 7
0 0 3
1 3 0
3 3 0
2 1 0
1 1 0
1 3 1
3 3 2
2 0 2
0 0 1
1 1 1
10 6
0 0 0
0 0 1
1 1 2
2 1 1
2 0 0
2 1 0
1 2 1
0 2 0
1 1 0
1 1 1
10 5
1 3 3
2 2 0
0 1 3
0 0 0
1 0 3
0 1 0
0 2 1
3 3 1
2 0 0
1 1 1
10 8
0 3 2
3 2 1
0 2 1
2 1 2
2 1 0
1 3 2
1 2 1
1 0 2
3 2 3
2 2 0
10 8
0 3 2
0 0 1
3 2 0
0 3 1
1 1 0
3 2 3
2 0 0
1 0 0
3 3 3
3 1 1
10 7
0 1 1
3 0 1
3 1 2
0 1 2
0 3 3
1 2 2
3 2 0
0 3 0
3 1 3
1 0 2
10 3
2 0 1
0 1 1
2 2 2
1 0 2
0 0 1
1 2 1
2 1 0
1 2 0
1 0 0
2 2 0
10 9
3 1 0
0 2 0
2 0 2
0 3 2
2 1 0
0 0 1
1 3 1
2 3 0
1 0 2
3 2 2
10 5
0 1 0
2 3 3
2 2 0
3 2 3
1 0 0
3 0 3
1 0 3
3 2 2
0 2 0
0 3 0
10 9
2 2 1
2 3 1
2 0 3
0 0 3
2 1 0
3 0 3
1 1 1
0 3 0
1 1 3
0 2 3
10 4
1 0 1
1 2 0
1 1 1
1 1 2
1 2 1
0 2 1
1 1 0
0 1 1
2 0 1
0 2 2
10 3
0 2 2
0 2 1
0 0 2
2 2 2
2 1 2
1 0 2
1 1 1
1 2 0
1 0 0
0 2 0
10 5
1 2 0
0 0 0
2 0 2
0 2 2
1 0 0
0 0 2
0 0 1
2 1 0
1 1 1
1 2 2
10 5
2 2 1
2 1 1
0 1 1
1 0 2
0 2 1
2 1 0
0 0 1
2 0 0
1 0 0
0 1 0
10 3
0 3 0
3 1 0
0 0 0
2 0 3
1 3 3
3 3 0
2 3 1
2 2 3
1 1 3
0 0 2
10 9
0 2 3
1 2 2
2 3 3
2 2 1
0 1 1
1 3 0
1 3 1
1 2 0
3 1 0
3 0 2
10 5
1 2 1
1 1 0
1 2 0
2 1 0
0 0 0
0 1 0
1 0 1
0 1 2
1 1 1
1 1 2
10 4
3 0 2
0 2 2
3 1 1
0 0 0
1 2 2
0 0 3
1 1 1
2 2 3
0 3 2
3 3 3
10 5
2 2 0
0 1 2
1 2 0
1 1 0
2 0 0
2 1 1
1 0 1
2 1 0
2 0 1
2 0 2
10 2
2 2 1
0 1 1
2 2 2
0 1 2
1 0 1
0 0 2
1 1 0
1 0 2
0 2 1
1 1 2
10 5
0 0 2
0 3 1
0 2 0
2 0 2
1 1 3
1 3 0
2 3 0
0 1 3
0 3 0
1 2 2
10 6
1 3 2
3 3 0
2 0 2
0 1 2
2 1 0
0 2 3
0 3 1
0 2 2
2 0 3
1 1 1
10 9
2 1 3
2 2 3
2 3 3
0 3 1
2 2 2
3 1 0
3 2 2
0 1 3
1 0 1
2 3 0
10 4
2 0 3
2 1 1
0 1 2
3 2 3
2 2 2
1 0 2
2 2 0
1 0 0
3 2 2
0 0 2
10 6
1 3 1
1 2 2
1 3 2
3 0 3
1 0 2
3 2 1
2 1 3
3 2 3
0 2 1
1 3 0
10 9
1 0 1
0 0 1
1 2 1
0 1 2
2 1 0
0 1 0
1 0 0
0 0 0
0 2 0
1 2 0
10 7
0 0 0
0 1 1
2 0 0
2 1 2
0 0 2
1 0 0
1 0 1
0 0 1
0 2 0
0 2 2
10 8
1 1 2
1 1 1
1 0 0
0 1 0
2 0 1
0 0 1
2 1 1
2 2 2
1 0 2
0 2 2
10 2
0 0 0
2 0 2
1 1 2
2 2 2
2 1 0
1 2 1
2 1 2
1 2 2
1 0 2
0 2 0
10 6
0 2 0
0 2 3
0 2 1
0 1 2
1 1 0
2 0 1
3 0 3
1 1 2
0 3 0
2 1 0
10 4
3 1 0
2 0 2
1 1 3
3 3 3
1 1 0
1 2 3
3 1 2
1 3 2
3 2 2
1 3 1
10 3
0 1 0
0 2 2
1 0 0
0 0 2
0 2 1
2 1 1
2 0 1
2 2 1
2 2 2
0 1 1
10 2
2 3 1
2 1 1
1 1 1
3 3 2
2 1 3
2 2 1
0 2 2
0 0 1
2 2 3
2 2 0
10 9
2 2 1
2 0 0
0 0 0
0 0 1
2 0 2
1 2 2
1 2 0
1 1 1
1 0 2
2 1 0
10 2
2 2 1
1 2 2
2 0 1
2 0 0
0 2 1
2 2 2
0 1 1
0 0 2
1 1 0
1 2 0
10 8
0 2 1
3 3 3
0 1 3
3 3 0
2 1 2
0 0 1
1 1 3
3 1 3
0 0 0
2 0 3
10 9
1 2 2
0 2 1
1 0 1
2 1 2
0 1 0
1 2 1
2 2 2
2 1 1
1 1 1
0 1 2
10 2
0 2 0
0 1 3
3 2 0
1 2 2
0 0 0
1 3 3
3 0 0
1 2 0
3 2 1
3 0 2
10 8
1 0 1
1 2 0
1 0 0
1 1 1
0 0 1
2 0 1
0 1 0
1 2 2
0 0 0
2 1 0
10 4
2 1 0
2 2 2
0 0 0
1 0 2
1 1 0
0 1 1
0 1 2
1 0 0
1 1 1
2 1 2
10 3
2 0 0
0 0 0
2 2 0
2 1 0
1 1 0
1 0 2
0 2 2
0 0 1
2 0 1
0 2 0
10 6
2 1 2
0 1 0
1 2 1
2 2 2
2 0 0
2 1 0
0 0 2
1 1 1
2 0 1
1 0 2
10 8
1 3 3
0 3 1
3 3 2
3 0 2
0 0 1
0 3 2
2 1 3
3 2 3
0 2 3
0 3 0
10 6
2 2 0
2 2 2
1 1 1
0 2 1
2 0 1
1 0 0
1 0 2
1 0 1
1 2 2
2 1 2
10 6
1 1 1
3 1 3
1 0 3
0 1 3
0 1 2
1 1 0
2 3 1
0 2 1
2 2 2
3 2 3
10 8
2 1 2
2 3 0
0 1 2
0 0 0
0 2 1
2 1 0
1 3 2
2 3 1
3 1 1
2 0 3
10 5
3 2 1
2 1 3
0 0 1
3 3 0
2 2 2
0 3 0
1 2 2
3 0 2
0 3 1
2 2 3
10 3
3 0 1
3 3 0
0 2 1
0 1 3
0 3 2
1 1 3
3 3 2
3 0 0
2 3 0
2 0 0
10 8
3 0 2
0 0 2
0 1 0
1 2 3
2 1 3
1 2 0
0 1 1
0 3 1
3 1 0
1 3 2
10 5
0 0 1
1 1 1
1 1 2
1 0 0
1 2 1
1 2 2
0 0 2
0 1 1
1 0 1
0 2 2
10 3
1 1 2
0 2 2
2 2 0
0 0 0
1 1 0
2 1 0
1 2 2
0 2 1
0 1 2
2 0 0
10 2
2 2 0
2 0 0
2 1 1
0 1 1
1 2 1
0 0 2
0 0 0
1 0 0
0 2 2
0 1 2
10 3
2 2 0
1 1 0
0 2 1
0 0 2
2 0 2
1 0 0
1 2 0
0 0 0
0 2 2
1 2 1
10 7
2 2 2
0 0 1
1 1 2
0 1 1
0 3 1
3 3 0
3 3 2
1 0 0
1 1 3
3 0 2
10 6
3 0 0
2 2 2
1 0 0
2 0 3
2 2 0
3 1 1
3 0 1
1 3 0
0 0 2
2 0 1
10 5
1 3 2
0 3 0
3 3 3
2 3 1
3 2 1
1 3 0
2 0 1
3 0 0
2 0 0
2 0 3
10 2
1 0 2
1 0 0
3 0 2
3 3 1
2 3 0
2 1 3
1 2 3
0 3 0
3 2 0
0 1 3
10 4
2 1 0
1 1 1
0 1 2
1 2 1
1 2 2
1 1 2
0 2 2
0 2 0
2 1 2
2 1 1
10 6
0 0 0
1 1 2
1 0 3
3 3 2
2 1 1
3 3 1
3 1 3
2 2 0
3 1 0
1 3 3
10 9
3 2 2
2 2 1
0 1 1
0 3 0
2 3 2
0 0 2
3 0 0
3 0 3
3 1 2
1 0 0
10 7
0 2 1
3 1 3
3 2 2
2 1 0
1 0 1
1 2 0
3 3 2
0 3 1
2 2 2
2 2 3
10 5
2 1 0
0 2 0
1 2 2
2 2 2
3 3 1
0 3 1
1 0 3
2 0 3
0 2 2
0 1 2
10 7
2 0 0
2 1 1
1 1 2
1 1 1
0 2 0
2 1 2
0 1 2
1 0 1
1 2 0
0 2 2
10 5
1 1 1
0 1 1
0 0 1
0 1 2
1 0 0
0 0 0
2 2 2
1 0 1
0 2 2
0 2 0
10 6
0 3 0
2 2 1
2 1 3
1 2 1
1 0 2
2 2 2
1 2 2
0 2 0
3 1 0
1 3 1
10 3
2 2 2
2 1 1
1 0 0
0 2 2
1 1 1
2 0 2
0 0 0
1 0 1
1 1 2
0 1 1
10 9
2 1 2
0 0 2
2 2 2
0 0 1
0 0 0
2 2 1
0 2 0
0 2 1
2 2 0
2 1 1
10 6
0 2 0
3 1 2
0 0 1
0 3 1
1 0 1
3 0 0
0 3 0
3 0 3
2 2 3
2 3 3
10 5
0 0 1
0 0 0
0 2 0
1 2 0
1 1 0
1 0 2
0 2 2
0 2 1
2 0 1
0 0 2
10 4
0 3 3
2 2 1
2 0 0
2 1 2
1 2 0
3 3 0
0 1 1
1 2 2
1 1 0
0 2 3
10 5
2 3 1
3 3 1
0 3 3
3 0 3
3 2 1
2 0 3
0 3 2
0 1 0
1 1 2
3 0 0
10 4
2 3 3
3 2 0
0 0 0
2 2 0
2 1 0
0 1 0
0 3 3
0 0 2
2 3 0
3 0 3
10 8
2 1 1
1 1 1
1 0 1
1 1 2
2 1 0
0 0 2
0 1 2
2 1 2
1 0 2
1 2 0
10 8
3 3 3
0 0 3
2 3 1
0 1 1
2 0 2
3 1 3
1 0 2
2 2 2
1 3 0
2 0 3
10 5
1 0 3
3 3 0
2 3 0
1 0 2
3 1 3
0 2 2
2 0 1
3 0 0
0 3 2
0 0 0
10 6
2 1 3
0 0 0
2 0 3
1 0 2
2 1 1
1 2 0
0 2 2
3 3 2
3 3 1
2 3 2
10 5
0 0 2
1 1 1
2 0 0
2 0 1
2 1 1
2 0 2
1 0 0
1 0 1
2 2 1
1 2 2
10 8
0 2 2
3 1 1
2 2 1
2 2 2
1 3 3
3 0 0
3 2 2
0 3 1
0 3 2
2 0 0
10 5
2 3 3
3 3 2
1 1 3
3 3 3
2 1 2
3 1 2
0 0 2
1 2 2
2 1 1
2 2 2
10 3
0 1 2
2 2 1
1 0 0
2 0 1
1 0 1
0 0 2
0 2 0
1 2 2
2 1 1
2 1 2
10 8
0 2 3
3 2 1
0 3 2
1 3 2
2 0 3
0 3 1
0 0 1
3 3 2
2 3 1
0 2 2
10 6
2 1 0
2 1 1
1 2 2
1 0 0
0 2 0
0 0 2
0 1 0
2 0 2
0 0 1
0 1 1
10 7
0 3 0
0 2 1
2 1 3
3 3 2
2 2 0
3 3 1
1 1 0
2 3 1
3 1 0
3 0 2
10 8
1 0 0
0 2 2
0 2 0
2 0 2
1 1 2
1 0 1
0 0 1
2 2 2
1 2 1
0 1 0
10 3
0 0 2
2 1 0
2 2 0
1 1 0
2 0 1
1 1 1
1 0 0
2 2 1
0 2 1
0 1 2
10 5
2 2 2
1 0 1
3 1 1
1 1 2
1 0 2
0 3 0
1 3 1
3 1 0
2 0 0
3 3 1
10 5
1 2 2
0 3 3
3 1 3
2 2 2
1 1 1
0 3 0
3 0 3
1 3 0
2 0 0
2 1 1
10 4
3 0 1
2 0 2
2 2 0
3 2 2
3 2 0
1 3 3
2 1 1
1 2 3
0 2 2
3 3 3
10 2
1 1 0
0 2 3
3 0 2
2 2 3
0 1 2
1 0 1
3 2 0
1 1 1
0 2 2
0 3 1
10 5
1 0 2
0 0 1
1 1 2
0 2 0
2 0 1
2 1 1
1 2 2
1 0 0
1 0 1
0 1 0
10 7
2 0 1
1 1 2
0 3 3
2 2 3
2 1 3
1 2 1
2 3 0
0 3 2
1 0 3
3 2 3
10 5
1 1 0
1 0 2
2 2 1
2 2 0
2 0 0
0 1 2
2 1 0
2 0 1
0 0 0
0 2 0
10 6
0 2 0
2 0 2
2 1 1
2 2 2
2 1 2
1 2 1
0 1 1
0 1 0
1 1 0
0 0 0
10 4
0 2 0
2 2 2
2 0 0
1 1 1
1 1 0
1 0 2
0 1 2
1 0 1
0 0 1
2 1 2
10 7
0 2 1
2 1 0
1 2 1
1 1 2
1 2 0
2 0 0
2 2 1
0 0 2
1 0 2
0 1 0
10 5
2 1 1
1 3 0
2 1 3
1 2 0
0 0 0
3 1 2
3 1 0
2 0 0
2 2 2
1 0 2
10 4
1 2 3
0 0 0
2 0 2
2 1 2
1 0 1
3 1 1
0 2 2
3 0 0
2 0 3
2 0 0
10 9
2 1 1
2 1 0
1 2 2
0 1 2
1 0 1
2 2 0
0 0 0
2 0 1
0 0 1
0 2 2
10 3
1 0 3
0 3 2
3 2 1
3 1 2
0 1 2
2 0 2
2 1 1
2 3 2
3 2 0
2 0 3
10 5
3 1 3
2 1 1
2 1 3
0 0 3
3 1 1
2 3 2
0 3 3
0 2 0
1 2 1
3 2 3
10 3
0 3 1
1 1 3
3 2 0
2 3 3
1 3 0
3 2 2
2 0 1
1 2 1
1 0 2
0 1 2
10 6
2 0 2
1 1 0
1 0 1
2 0 0
2 1 0
1 0 0
0 0 2
0 1 0
1 2 2
0 1 1
10 9
0 2 1
2 3 3
2 0 3
2 2 1
3 0 1
2 3 1
1 2 3
3 0 3
1 0 1
0 3 0
10 8
1 1 0
2 1 0
1 1 1
0 2 1
2 0 0
2 2 1
1 0 1
2 2 2
0 1 2
1 2 2
10 6
2 0 2
0 0 1
0 1 0
2 1 1
0 1 1
0 2 1
2 1 0
2 0 0
1 2 0
0 0 2
10 3
2 0 0
0 2 1
1 1 0
1 1 2
2 0 1
2 1 0
1 2 0
0 2 2
2 1 2
0 0 1
10 8
1 0 2
2 1 1
1 1 0
2 2 1
0 1 2
2 0 2
0 2 2
0 2 1
1 1 1
2 2 2
10 7
3 1 1
3 0 2
3 3 0
1 0 3
1 3 1
0 3 0
0 2 2
0 2 0
2 3 2
0 3 3
10 4
0 0 2
1 2 2
3 2 2
1 3 2
0 1 2
0 1 3
2 2 3
3 0 1
0 3 0
1 0 3
10 9
1 0 2
0 1 1
1 1 0
2 0 0
0 2 0
1 2 0
0 0 0
2 2 2
2 2 1
2 1 1
10 3
2 1 2
1 0 1
1 1 2
1 2 1
0 0 1
0 1 0
1 2 2
1 1 1
1 1 0
0 0 0
10 9
0 2 1
3 2 2
0 1 0
2 3 1
0 1 3
1 0 1
1 1 0
1 0 2
1 3 3
0 2 0
10 6
1 2 0
2 1 1
2 0 2
0 0 2
0 2 1
1 1 2
1 1 1
0 1 0
0 2 2
1 0 1
10 9
1 1 0
1 1 2
2 0 2
2 2 1
2 2 2
2 0 0
2 2 0
2 1 1
0 0 0
0 1 1
10 5
0 3 0
2 0 2
2 3 3
0 0 2
1 2 3
3 1 2
1 0 1
2 2 2
2 3 1
3 2 3
10 6
1 2 0
3 0 1
2 3 2
0 2 2
1 0 3
3 3 1
1 1 3
0 2 0
1 2 3
1 3 1
10 8
2 2 2
0 0 2
1 2 2
1 1 1
1 2 0
0 1 0
2 0 2
0 0 1
1 2 1
0 0 0
10 2
1 1 3
2 1 0
3 3 1
0 1 0
1 0 0
3 2 1
3 1 1
3 0 0
1 1 0
2 0 3
10 7
1 1 0
1 2 0
3 0 3
2 3 3
1 2 2
3 2 3
0 0 1
0 3 3
2 2 3
0 1 1
10 7
1 3 3
3 2 1
1 3 0
3 1 3
1 1 1
2 1 2
2 2 3
3 3 0
1 3 2
2 2 1
10 2
2 0 0
1 0 0
1 2 1
1 3 2
1 3 0
0 1 1
0 1 2
0 3 2
1 1 2
0 1 0
10 2
2 0 1
2 3 3
0 2 1
0 1 1
0 2 0
2 3 2
0 3 2
3 1 2
3 3 1
2 0 3
10 3
1 3 2
2 2 1
0 0 1
2 2 2
0 3 1
0 2 3
1 2 1
2 0 3
3 3 2
3 0 3
10 4
1 2 0
0 2 1
1 2 1
0 2 0
0 0 0
2 2 1
1 1 0
1 0 1
0 0 1
2 0 0
10 4
1 1 2
0 1 0
1 1 0
1 0 2
2 0 1
0 2 2
0 0 2
1 2 0
0 1 1
0 2 0
10 5
0 2 1
3 2 2
2 1 3
1 2 2
2 0 3
0 3 3
2 3 3
0 2 3
3 3 2
1 1 1
10 3
0 0 2
2 1 2
1 0 0
0 2 1
2 0 0
1 2 1
2 2 0
2 0 1
0 0 0
2 1 0
10 9
0 2 1
2 0 1
0 2 2
0 1 2
1 1 0
0 0 0
0 0 1
1 2 2
2 1 1
2 2 1
10 2
1 2 2
0 1 1
0 0 2
1 1 0
0 2 2
1 1 1
0 2 0
0 0 1
1 2 0
1 2 1
10 6
2 2 1
2 1 2
0 2 0
2 0 0
1 0 2
1 1 1
0 1 2
1 2 0
1 0 0
0 2 2
10 6
2 1 1
0 2 0
1 2 2
2 2 1
1 0 0
2 0 2
0 1 1
1 0 2
0 1 2
2 1 0
10 2
2 1 1
0 0 2
0 0 1
0 2 1
1 1 2
0 2 2
2 0 0
1 1 0
1 0 0
2 1 2
10 9
2 0 3
2 0 2
2 1 1
3 3 0
3 0 0
0 2 3
0 3 0
2 3 1
1 1 1
0 3 3
10 9
2 2 0
0 1 1
0 0 2
0 2 0
1 0 2
0 0 1
1 1 0
1 2 2
1 2 0
2 2 2
10 5
1 0 1
0 2 3
2 3 1
2 3 0
0 2 2
0 1 0
3 1 2
3 1 3
3 3 0
1 3 2
10 3
1 2 1
2 0 0
0 2 2
1 1 0
0 1 2
0 0 1
1 2 0
2 1 0
2 0 1
1 1 2
10 9
1 1 0
1 1 1
2 1 1
0 0 2
0 1 0
0 1 1
2 2 1
2 0 1
2 2 0
1 0 0
10 7
3 1 3
2 0 1
1 0 2
2 3 2
2 2 2
2 1 2
2 0 2
3 1 0
3 0 0
1 2 2
10 2
1 2 0
1 1 2
2 2 1
0 0 0
2 0 1
0 1 1
1 1 0
2 0 0
0 0 2
2 0 2
10 7
1 2 3
2 1 0
3 0 0
0 2 0
0 2 1
0 0 2
0 2 3
0 1 2
1 0 0
2 0 0
10 7
0 0 3
0 0 2
0 1 1
2 0 0
0 2 2
2 3 1
2 0 1
3 3 1
1 1 1
1 1 2
10 4
0 2 1
1 0 3
0 1 3
0 3 0
1 2 2
3 2 2
0 2 3
0 3 2
1 1 3
0 2 2
10 9
1 2 0
2 1 1
2 2 1
1 1 0
2 0 0
0 1 1
1 1 2
0 0 0
2 2 2
1 0 0
10 7
3 3 0
0 3 2
3 1 3
3 0 3
3 3 3
2 0 3
3 2 1
0 1 2
2 2 2
0 3 0
10 5
0 3 0
0 3 3
3 0 2
1 2 2
0 0 1
0 0 0
3 3 0
1 0 3
1 0 1
1 0 2
10 2
2 1 1
0 0 0
2 0 0
1 0 2
2 1 0
0 2 2
2 2 1
1 1 0
2 1 2
1 0 1
10 8
0 1 2
1 1 1
2 2 2
2 0 2
1 2 2
1 0 2
2 1 1
0 0 0
1 1 0
0 0 1
10 6
1 3 1
0 0 3
2 0 2
1 0 3
1 3 3
2 3 2
2 2 1
0 0 2
0 1 1
1 2 2
10 9
0 2 2
0 0 0
0 2 0
0 0 1
2 2 1
0 1 0
1 0 1
1 2 2
1 2 1
2 0 0
10 9
3 1 2
1 1 3
1 2 1
3 1 0
0 3 1
0 3 2
3 2 2
2 2 3
3 2 1
2 1 3
10 4
1 2 1
2 2 2
0 0 1
2 1 2
0 0 2
2 2 1
1 1 2
1 0 2
2 0 1
0 1 1
10 4
0 3 2
2 0 2
2 0 1
1 3 0
2 0 3
1 0 1
3 3 0
0 2 3
1 1 1
2 2 2
10 5
1 0 1
2 2 2
1 1 1
2 1 2
2 1 0
0 0 2
1 2 2
0 2 1
2 0 0
1 2 1
10 4
1 0 2
0 2 0
3 0 0
3 2 3
1 3 0
3 1 0
3 3 3
3 1 2
1 1 1
1 2 3
10 2
3 0 1
1 0 1
1 3 3
2 2 2
0 0 1
3 2 2
2 3 1
0 0 2
2 1 0
2 2 3
10 2
2 1 0
2 1 3
2 2 0
0 3 3
3 3 2
3 2 1
3 0 0
0 2 2
3 1 1
0 2 0
10 5
2 1 1
1 0 2
1 3 2
0 3 0
0 2 1
2 0 3
0 1 2
1 0 1
1 2 3
3 1 3
10 3
2 2 0
2 0 0
0 2 2
2 1 0
1 2 2
0 2 0
2 2 1
1 0 2
2 0 1
0 1 1
10 4
3 3 1
0 2 1
0 2 0
3 3 3
3 1 0
1 3 1
0 3 3
0 3 1
2 0 1
0 1 1
10 6
0 0 3
1 1 1
0 2 1
3 0 3
2 2 2
1 2 3
2 1 2
1 1 0
0 0 0
3 2 0
10 8
2 1 2
1 1 2
0 2 0
2 2 2
1 2 0
1 2 1
1 0 2
0 1 1
2 2 1
0 2 1
10 8
1 0 0
1 0 2
2 1 2
0 1 1
2 0 0
1 2 2
1 2 1
2 2 1
0 2 0
0 2 2
10 5
2 2 0
1 1 0
1 0 1
0 2 0
2 0 1
1 2 0
2 2 2
1 2 2
2 2 1
1 1 2
10 6
1 0 1
1 1 1
3 0 1
3 1 0
2 3 2
1 3 1
3 2 0
2 0 2
1 1 2
0 1 3
10 2
2 1 0
0 0 1
1 2 2
0 0 2
1 1 1
0 2 2
2 2 1
0 0 0
2 0 0
0 1 0
10 3
1 3 2
3 2 1
3 3 0
2 1 0
1 3 3
1 3 1
0 1 1
2 0 3
3 2 2
0 1 3
10 5
3 3 1
0 1 3
1 1 2
3 2 2
3 3 3
0 3 1
0 2 1
0 1 0
0 1 1
1 1 1
10 7
0 1 2
0 2 0
2 1 0
0 2 1
2 0 0
2 0 1
0 0 2
0 1 1
0 2 2
2 1 2
10 6
0 0 2
1 1 1
2 0 1
0 0 1
0 2 0
2 0 0
2 1 1
1 2 1
0 2 2
2 2 0
10 9
1 0 0
2 2 0
3 0 1
2 1 3
0 1 2
2 3 0
2 2 3
1 3 3
0 0 2
2 2 1
10 7
1 0 0
2 0 0
1 1 1
2 0 1
0 2 1
1 0 1
0 0 2
0 1 1
0 1 0
1 1 2
10 7
0 0 3
0 2 1
2 2 1
3 3 1
1 3 1
1 0 1
3 2 1
1 1 1
2 1 0
3 0 3
10 4
3 0 1
3 1 3
3 0 0
0 3 1
0 2 1
1 3 1
1 2 1
1 0 1
0 1 0
0 0 1
10 2
3 0 0
0 0 0
2 2 0
2 1 0
1 0 3
3 3 0
0 1 3
2 1 2
3 1 1
0 2 0
10 6
0 1 2
1 1 1
1 0 1
2 0 1
1 0 0
2 0 2
1 2 0
1 1 2
0 1 1
0 2 0
10 5
2 1 0
2 0 2
0 0 2
2 2 0
2 2 2
1 1 0
2 2 1
1 0 0
1 0 2
1 1 2
10 7
1 0 2
2 3 2
1 2 0
1 1 1
0 1 2
0 2 3
0 2 1
1 2 1
0 0 1
3 0 1
10 3
1 3 0
2 2 3
0 2 1
3 0 2
2 0 1
1 2 2
1 3 2
0 0 3
2 3 2
2 0 0
10 9
1 1 1
2 3 3
0 1 3
1 0 3
1 0 2
0 0 3
3 0 0
3 1 1
2 3 0
3 2 0
10 4
1 0 1
1 0 0
2 0 1
2 2 2
0 2 0
0 2 1
0 2 2
2 1 0
0 0 2
2 0 0
10 5
0 2 1
3 2 1
3 0 0
3 0 1
3 2 2
1 2 2
2 1 2
1 0 1
2 2 1
1 1 0
10 7
1 0 0
2 0 1
2 2 0
2 1 2
1 2 0
2 2 1
0 2 1
1 2 2
1 0 2
1 1 0
10 9
0 1 2
0 2 2
2 2 1
0 2 1
2 2 2
2 0 0
2 0 2
2 1 1
1 1 1
0 0 1
10 9
0 2 1
1 2 0
0 2 3
2 3 0
2 1 3
3 3 3
1 1 2
0 1 3
2 3 2
3 3 0
10 8
0 2 3
3 3 3
0 0 3
1 3 3
3 1 0
0 2 1
2 2 3
0 2 0
3 3 1
2 0 1
10 8
2 2 0
0 1 2
1 0 0
1 2 2
0 0 0
1 2 1
2 1 2
2 0 0
1 0 1
1 1 2
10 6
2 0 2
0 0 0
2 2 0
2 1 1
1 2 2
1 2 1
1 0 1
2 0 1
0 0 2
1 0 2
10 3
0 2 2
1 1 1
2 0 0
2 1 0
3 3 1
2 3 2
3 1 1
1 2 3
3 2 2
3 2 3
10 7
1 2 0
2 2 2
3 0 1
2 2 3
1 3 1
1 1 2
1 1 0
0 0 1
2 0 3
2 3 0
10 8
1 3 0
0 1 2
2 0 3
1 1 0
3 2 1
3 0 3
2 3 3
2 1 3
2 0 2
1 1 3
10 4
0 2 2
2 2 1
2 0 1
0 2 0
2 1 1
1 2 1
2 2 2
1 0 2
2 1 2
1 2 2
10 4
1 2 0
1 1 2
0 3 2
2 3 1
2 3 2
1 1 0
0 1 3
3 3 1
1 1 3
1 3 3
10 3
1 1 1
2 0 2
0 2 2
1 2 1
2 1 1
2 2 2
2 0 0
0 2 1
1 1 2
1 2 0
10 6
3 3 3
3 2 3
0 3 0
3 2 1
3 1 2
0 2 1
1 0 0
1 3 2
0 3 2
2 2 3
10 9
1 0 2
2 1 1
2 2 1
1 2 1
2 0 0
0 1 2
0 1 0
1 2 0
2 2 0
2 0 1
10 6
2 1 2
2 2 0
1 2 0
2 0 1
1 2 1
1 1 0
2 0 0
0 1 2
0 0 1
1 0 0
10 3
0 1 0
0 0 2
2 1 1
1 1 1
1 1 2
0 2 1
2 2 1
2 2 2
0 2 0
1 0 0
10 9
1 1 2
3 3 2
0 2 3
3 1 2
3 3 1
0 3 3
2 3 2
2 2 1
0 0 3
1 0 0
10 4
2 0 2
1 0 0
2 2 2
0 1 1
0 0 0
0 0 1
0 0 2
2 2 1
2 0 1
0 1 2
10 2
3 1 0
0 3 3
3 2 0
0 1 0
1 3 1
3 0 3
1 3 0
0 0 2
2 0 1
3 2 2
10 3
2 2 3
3 2 1
0 2 3
3 3 2
0 0 1
1 3 2
0 2 1
0 1 0
3 2 0
2 2 1
10 4
1 1 1
2 1 0
0 2 1
1 0 1
0 2 2
2 2 1
2 0 2
0 1 2
2 2 2
0 1 1
10 2
3 3 0
2 1 2
1 2 0
0 2 0
1 1 1
3 1 0
3 0 2
3 1 1
2 0 1
1 3 3
10 9
1 0 0
0 1 0
0 0 1
0 1 2
1 1 0
1 2 1
2 2 0
1 0 1
0 2 1
0 1 1
10 8
3 1 2
2 0 0
1 2 1
2 1 3
3 2 2
3 3 1
0 3 2
2 3 0
0 0 3
1 3 3
10 5
2 1 0
2 2 1
1 1 0
1 2 2
0 0 0
2 0 1
1 1 1
2 1 2
1 2 0
1 1 2
10 8
2 0 1
0 0 2
2 1 0
2 2 0
0 1 1
1 2 1
2 1 1
2 2 1
2 0 0
1 1 1
10 9
1 2 1
0 2 2
0 0 0
1 1 1
2 0 0
0 0 1
0 0 2
2 0 2
1 0 2
0 1 1
10 6
2 1 0
0 0 0
2 0 2
1 0 0
1 1 2
1 0 1
2 1 2
0 1 1
2 0 0
0 2 0
10 8
0 1 1
2 2 1
2 0 2
0 2 2
1 0 1
0 2 1
1 1 0
2 1 1
1 0 2
1 1 2
10 7
0 3 3
1 3 2
3 0 3
1 3 3
3 2 3
0 0 0
1 2 0
0 1 0
1 1 1
3 3 1
10 5
2 1 2
2 2 1
2 2 0
0 0 1
0 2 2
0 1 2
1 0 1
1 1 2
0 2 0
1 0 0
10 5
1 2 0
0 1 0
1 0 0
0 2 2
1 0 2
2 0 2
2 1 0
1 1 0
2 1 2
0 1 2
10 5
2 0 0
2 1 0
1 1 1
0 0 0
1 0 1
2 2 1
0 0 1
2 0 1
0 2 0
1 0 0
10 6
0 1 1
2 1 1
2 1 0
0 2 1
2 0 0
0 0 0
0 0 2
0 2 2
1 2 2
2 1 2
10 3
2 1 0
0 0 2
1 0 1
2 2 0
0 1 0
0 0 1
2 1 2
2 1 1
0 1 1
0 0 0
10 4
2 2 1
0 2 1
1 2 0
0 2 0
2 2 0
0 1 0
0 1 2
2 0 2
2 1 1
0 0 2
10 5
0 1 0
0 0 0
0 2 2
1 0 0
1 0 2
2 1 1
2 0 1
1 1 0
0 0 1
2 0 0
10 6
1 3 2
1 2 3
0 2 1
2 3 0
1 1 2
2 0 1
3 1 2
3 2 1
3 3 1
0 3 1
10 3
3 2 1
0 1 1
3 0 0
1 2 0
2 0 3
0 3 3
0 2 0
3 0 1
2 2 0
2 1 3
10 9
3 3 2
3 2 2
1 3 0
0 3 1
0 2 2
1 3 1
3 3 0
1 2 1
2 0 2
0 1 2
10 3
3 3 2
0 0 0
3 2 0
2 0 2
0 1 1
2 3 3
0 3 2
1 3 3
1 1 2
2 1 1
10 5
0 1 1
3 1 3
3 3 1
2 1 3
0 3 3
2 1 2
2 0 1
0 3 0
1 0 2
1 3 1
10 9
0 2 2
1 2 0
2 0 2
0 1 0
2 2 0
0 2 1
0 0 0
0 1 1
1 1 1
0 0 2
10 2
2 1 1
0 0 2
1 0 2
0 0 1
0 0 0
2 1 0
1 0 0
1 1 0
0 1 0
0 2 0
10 6
3 3 2
2 0 3
3 1 2
2 3 0
0 0 3
3 2 3
2 1 3
2 3 3
2 2 1
3 0 2
10 8
3 0 0
1 3 2
2 0 1
3 3 0
3 0 3
0 1 3
1 0 1
3 0 1
1 3 0
0 0 0
10 6
2 3 3
0 1 2
1 3 3
2 2 3
3 0 3
2 2 2
1 0 3
3 1 2
1 1 2
2 1 0
10 7
2 2 2
1 0 1
2 2 1
0 1 0
2 0 2
1 0 0
1 1 1
0 0 2
0 2 0
1 2 1
10 8
0 1 0
1 0 2
2 0 0
2 0 1
1 2 2
1 0 1
2 1 1
1 1 1
1 2 0
0 2 2
10 3
0 1 0
2 2 0
1 0 0
0 3 0
2 1 3
0 1 2
0 3 1
3 2 2
1 2 3
0 3 2
10 9
3 0 1
1 2 1
2 1 3
3 3 0
2 3 0
1 3 0
0 2 2
1 0 3
0 2 0
3 1 2
10 7
1 2 2
1 0 2
1 2 1
1 0 1
0 1 2
2 0 0
0 0 2
2 1 1
2 2 1
2 0 2
10 9
3 2 1
2 1 0
3 1 0
2 2 0
3 0 2
3 2 2
1 3 3
2 1 1
3 0 0
3 2 3
10 8
0 3 3
3 1 3
0 0 2
0 0 1
1 3 2
1 3 3
2 2 1
3 2 3
3 2 0
2 3 1
10 4
1 0 1
2 2 2
1 0 2
1 2 0
0 1 2
0 0 0
1 0 0
1 1 0
2 1 1
0 0 1
10 6
2 1 2
1 0 0
2 0 1
2 1 0
2 0 2
1 1 1
0 0 1
2 2 2
1 2 2
0 2 2
10 4
3 3 1
1 2 1
3 2 1
3 1 3
3 0 0
2 3 1
0 1 3
0 2 1
1 1 0
0 1 2
10 7
1 0 1
0 2 3
1 1 0
2 0 0
3 3 3
3 1 3
2 1 1
0 1 3
0 0 2
3 2 2
10 4
0 1 0
1 1 1
0 0 1
0 2 2
0 2 1
1 2 2
2 2 1
2 1 2
0 1 2
2 0 2
10 4
2 1 2
1 2 2
2 2 0
1 0 2
0 2 2
0 2 0
1 0 0
0 2 3
0 3 0
0 1 1
10 2
2 2 0
3 1 1
2 0 0
3 0 2
1 1 0
1 0 0
0 0 3
3 3 2
0 1 0
3 0 1
10 4
2 1 1
1 0 1
0 0 2
1 2 2
0 1 0
2 0 0
1 0 2
0 0 0
2 2 0
0 1 1
10 6
1 2 0
1 0 0
1 1 1
2 0 2
1 2 2
2 0 1
0 2 1
2 1 1
0 0 2
0 2 2
10 6
0 0 1
0 2 1
2 2 0
0 2 0
1 0 0
1 0 1
2 1 0
2 0 0
0 0 2
0 1 1
10 4
2 1 0
2 0 0
0 2 1
1 0 1
1 2 2
2 1 1
1 1 2
1 0 0
0 1 0
1 2 0
10 4
1 2 2
0 0 0
1 1 2
0 1 0
2 2 0
0 2 0
0 1 2
1 0 0
2 1 2
0 1 1
10 2
0 2 1
2 2 2
0 0 0
0 1 2
2 0 1
0 1 0
2 1 0
0 1 1
0 0 1
2 2 1
10 3
0 0 0
1 2 2
2 2 1
3 1 1
2 3 0
1 0 2
2 1 3
3 0 3
3 0 2
1 3 0
10 3
1 2 0
0 1 1
2 0 0
0 0 0
2 0 2
2 0 1
0 2 0
0 1 2
2 1 2
2 2 1
10 9
2 3 2
1 3 1
3 3 3
3 3 2
1 0 1
3 1 2
3 0 3
0 3 2
0 3 0
0 2 2
10 5
2 0 0
0 1 0
1 3 3
1 3 0
3 2 3
1 0 1
3 1 1
1 1 0
0 1 1
3 1 3
10 6
1 2 2
0 0 2
2 1 0
1 1 0
2 2 2
2 1 1
0 1 0
0 1 1
1 2 1
1 0 1
10 2
0 0 1
2 1 2
2 3 0
3 3 0
3 0 2
1 2 0
2 2 1
0 2 2
1 0 2
2 3 3
10 9
1 3 0
2 1 0
1 2 3
2 2 1
3 1 1
2 2 0
1 2 2
0 0 1
0 2 0
2 0 1
10 3
1 0 1
0 0 1
0 1 1
0 0 0
1 2 0
1 1 2
2 0 0
0 2 2
2 2 0
1 0 2
10 6
1 0 2
0 2 2
1 1 1
0 2 0
2 1 2
0 0 2
2 2 2
1 2 0
0 0 0
0 2 1
10 5
1 1 3
0 2 3
2 3 3
0 1 3
2 3 0
1 3 2
3 0 2
3 2 2
0 0 3
3 2 0
10 5
0 1 0
1 0 0
1 2 2
1 0 3
3 0 0
0 3 0
2 0 0
1 1 2
0 1 1
0 2 1
10 3
0 3 3
3 3 2
1 1 2
3 0 1
1 3 2
1 2 2
0 3 0
2 2 3
3 2 0
2 0 2
10 3
2 0 2
2 2 0
2 2 1
2 0 1
2 0 0
0 0 0
1 2 1
0 0 1
0 1 2
1 0 1
10 8
1 3 1
0 0 0
3 2 3
0 3 3
2 1 2
1 0 1
0 3 2
3 0 3
1 0 2
3 1 3
10 7
0 2 3
0 3 0
2 2 3
1 3 0
3 1 1
2 3 1
1 2 3
0 3 3
0 1 0
2 3 0
10 4
1 2 2
0 2 2
1 1 2
2 1 2
1 2 1
2 1 1
0 1 1
0 0 1
1 1 1
2 0 0
10 6
2 0 0
2 1 2
0 2 1
3 2 3
2 3 0
2 0 3
3 2 1
1 2 2
1 1 3
1 2 3
10 6
2 1 2
0 1 2
0 0 0
0 2 1
2 1 1
1 2 0
1 0 0
0 2 2
2 0 2
1 1 2
10 3
3 0 3
1 1 2
0 2 1
3 3 2
2 3 3
2 0 0
1 3 3
0 3 2
1 1 3
0 2 0
10 9
2 2 1
0 0 1
1 1 0
2 1 1
2 2 2
0 1 1
0 2 1
0 0 0
1 1 1
2 2 0
10 9
1 2 1
2 2 0
1 0 1
2 0 2
2 0 1
2 2 2
0 0 0
2 1 2
0 2 0
2 1 1
10 6
3 0 1
1 1 0
2 0 1
2 3 3
0 3 0
1 3 2
2 3 0
0 3 2
0 2 3
2 2 3
10 3
1 3 0
2 2 0
1 0 3
1 1 0
2 3 0
0 1 1
2 1 0
2 2 3
3 2 3
2 3 2
10 9
0 1 3
0 0 3
0 0 0
1 1 1
2 3 2
2 3 3
3 0 1
2 0 3
0 2 2
3 1 2
10 6
2 1 2
0 0 1
0 0 0
1 2 1
2 0 2
2 1 0
0 1 1
1 1 1
1 1 0
1 0 2
10 3
3 0 1
0 2 0
0 1 3
2 2 0
0 0 0
3 0 2
2 2 2
1 0 1
0 0 1
2 3 3
10 7
3 3 0
1 1 1
1 1 3
2 0 1
0 3 2
0 1 2
2 1 3
2 2 2
2 3 2
0 2 1
10 4
1 2 1
2 0 2
0 1 2
0 2 0
1 0 1
2 1 0
1 2 0
1 1 1
1 0 2
2 1 2
10 6
1 1 0
1 2 0
0 0 1
2 1 0
2 2 2
2 2 1
0 1 0
0 2 1
0 1 1
1 0 0
10 4
3 1 0
0 0 2
0 0 3
0 1 1
3 0 3
3 2 0
0 2 2
3 0 0
0 2 0
2 0 3
10 7
2 0 1
1 1 2
0 0 1
0 0 0
1 2 2
1 1 1
0 1 0
0 1 1
0 2 0
1 2 0
10 9
3 2 0
1 2 1
1 2 3
1 2 2
2 3 1
2 0 0
3 2 1
0 3 0
0 2 0
0 2 3
10 3
2 0 1
3 3 2
0 0 3
1 1 0
2 2 0
1 0 2
0 1 0
0 2 0
1 3 2
0 3 2
10 8
0 1 3
1 3 0
0 3 1
0 0 2
3 1 1
2 3 0
3 3 0
0 2 0
2 3 1
3 0 3
10 3
2 3 1
0 3 2
3 3 0
0 0 0
2 1 0
2 1 3
2 3 0
2 0 0
3 2 1
3 2 2
10 5
2 1 1
3 0 2
2 0 3
2 2 1
0 1 2
1 2 0
1 3 2
2 2 2
1 2 1
1 0 0
10 2
1 0 2
2 1 0
2 2 1
2 0 2
2 1 1
1 0 0
0 0 1
1 2 0
2 0 0
1 1 2
10 9
2 0 1
0 2 1
1 1 0
1 0 0
2 1 0
0 1 1
0 1 0
0 2 0
1 1 2
2 1 2
10 4
3 2 1
0 3 1
3 2 2
2 0 2
1 2 3
3 3 2
2 3 2
1 3 0
2 2 0
0 3 3
10 3
0 0 1
0 1 2
2 3 1
2 0 0
1 3 1
3 2 3
3 3 2
2 1 2
1 2 3
0 0 3
10 8
2 0 1
0 1 2
2 2 2
1 2 2
2 0 2
2 2 1
1 1 1
1 0 2
2 0 0
0 0 1
10 3
3 2 1
0 3 0
1 0 1
1 3 1
0 2 1
3 1 0
2 1 2
3 0 1
3 0 0
1 3 2
10 7
2 2 0
1 0 0
0 2 1
0 0 0
2 0 1
1 2 1
2 0 0
2 2 1
2 1 0
2 2 2
10 4
0 1 0
1 3 0
2 3 0
0 2 3
3 3 3
2 2 2
3 2 2
3 0 0
2 0 1
3 0 1
10 6
3 1 0
3 3 1
0 1 2
2 3 0
0 2 1
2 0 0
0 3 2
2 1 0
2 3 1
2 0 1
10 9
1 3 2
1 0 1
2 2 0
2 3 2
0 2 0
0 3 2
1 2 1
3 1 2
0 3 1
1 1 3
10 9
1 3 0
0 2 0
3 1 1
0 0 2
1 0 3
3 0 2
0 1 1
0 2 1
3 2 3
2 3 2
10 7
0 1 1
2 2 0
2 1 1
1 0 0
0 0 2
1 2 2
2 1 0
0 1 2
0 0 0
1 2 0
10 3
3 0 0
0 2 1
1 3 3
0 1 1
1 1 2
2 3 1
0 3 0
1 1 1
3 0 1
1 2 0
10 2
2 1 1
1 2 1
1 0 1
1 2 0
2 1 2
2 0 0
1 1 2
2 2 2
0 2 2
2 0 1
10 6
0 0 0
1 1 2
2 0 2
2 0 0
2 2 1
0 1 1
2 2 0
2 0 1
1 0 0
0 2 1
10 9
2 1 0
0 0 0
0 1 1
0 0 2
2 0 2
1 1 2
1 2 2
0 0 1
1 1 1
2 0 0
10 4
3 3 3
3 2 2
3 2 1
3 3 0
3 3 1
2 2 2
1 0 1
0 1 1
2 3 3
0 0 3
10 9
1 3 1
2 2 2
0 2 2
0 3 3
1 2 2
0 0 3
0 2 3
2 0 2
1 0 3
0 3 1
10 9
2 1 2
3 3 1
2 2 0
0 1 3
2 2 2
1 3 2
2 1 0
0 1 1
0 0 0
2 0 3
10 5
3 3 3
3 1 2
0 1 1
1 2 1
3 0 0
0 0 3
0 2 2
2 1 3
3 2 1
1 3 1
10 9
3 0 3
0 1 3
2 0 0
1 0 2
2 1 1
2 3 2
3 0 1
0 3 3
2 3 0
0 2 3
10 9
2 1 0
0 0 0
2 0 0
2 1 2
0 0 1
0 0 2
0 1 0
0 1 1
0 2 0
2 2 2
10 6
1 3 0
2 3 2
0 0 2
1 0 3
0 2 1
0 3 0
3 1 3
2 0 3
2 1 2
2 0 2
10 2
2 1 2
2 1 3
2 3 2
3 2 3
0 3 1
1 1 0
0 2 0
2 0 0
1 2 0
0 2 3
10 5
3 0 2
2 3 3
2 0 0
0 0 1
1 1 2
2 2 2
1 1 3
0 3 0
1 2 3
1 0 3
10 8
1 2 0
2 0 0
1 1 2
2 1 0
1 0 0
1 2 1
0 0 2
0 1 0
2 1 2
2 0 1
10 2
1 2 2
1 1 0
0 0 0
2 1 2
2 2 2
1 2 1
1 0 1
0 1 2
0 2 1
0 0 1
10 8
1 3 3
3 1 0
3 3 1
3 0 1
1 1 3
1 0 2
1 2 3
2 1 2
2 0 3
2 2 1
10 6
0 2 2
1 0 2
2 2 2
1 0 1
2 1 1
2 2 0
2 0 0
2 0 2
1 2 0
0 2 0
10 2
0 1 2
2 2 0
0 2 1
1 1 1
0 2 0
0 0 1
0 0 2
0 2 2
2 1 2
2 1 1
10 8
0 1 3
3 2 3
2 3 1
1 2 1
0 3 0
3 3 1
0 0 3
3 0 3
0 0 2
2 3 2
10 9
2 2 0
2 0 1
0 2 0
2 2 1
0 0 2
1 0 2
2 0 2
0 2 1
0 2 2
1 1 1
10 7
3 0 0
1 0 3
3 3 1
0 0 3
0 0 1
1 2 2
3 0 2
2 3 0
2 1 2
2 0 3
10 7
1 0 1
2 0 2
1 2 0
0 1 1
0 1 2
2 1 2
2 2 2
1 1 1
2 2 0
0 0 1
10 8
2 1 0
2 2 2
0 1 2
0 1 1
0 0 1
2 1 1
1 1 0
2 1 2
2 2 1
1 2 1
10 4
0 2 0
2 0 2
1 1 2
1 3 3
3 0 2
3 3 3
3 3 0
3 1 0
2 2 1
0 0 2
10 6
2 0 2
0 1 2
0 2 2
1 2 1
1 2 2
1 2 0
1 1 2
2 2 0
0 0 0
2 2 1
10 6
1 1 2
1 2 0
0 1 1
2 2 0
1 0 2
1 0 1
0 0 2
0 1 0
0 1 2
2 1 1
10 9
2 0 0
0 1 0
0 2 1
2 0 2
2 0 1
1 1 2
2 1 0
0 0 0
0 1 1
1 2 0
10 3
0 0 2
2 2 1
0 1 2
1 2 0
0 1 0
2 0 1
2 2 0
2 0 2
1 1 1
1 2 2
10 8
3 3 1
0 1 0
0 3 1
3 2 1
0 3 0
0 3 2
1 2 1
0 1 2
0 2 0
1 2 2
10 8
3 0 2
1 2 1
1 1 1
1 0 3
3 1 3
0 2 3
1 2 0
2 2 0
3 3 1
0 1 2
10 9
0 1 1
1 1 2
2 2 1
0 3 3
3 3 3
2 3 0
3 0 2
2 1 2
1 2 1
3 0 0
10 6
0 0 0
0 2 0
3 3 1
0 0 3
1 3 0
2 2 1
1 2 0
2 0 1
2 2 2
0 2 1
10 6
1 3 0
0 1 2
0 2 3
0 3 1
1 2 3
3 2 0
3 1 0
1 1 0
2 0 1
2 3 2
10 4
1 2 1
2 1 2
0 0 2
3 2 2
3 1 0
0 1 3
3 2 0
3 0 3
1 1 1
0 0 3
10 5
0 1 1
1 2 0
2 2 0
2 1 0
1 1 2
1 1 1
0 0 2
2 0 2
0 2 2
2 2 1
10 3
2 3 2
2 0 1
2 3 3
2 2 3
2 1 2
3 1 2
1 1 2
2 1 0
0 2 3
0 3 1
10 8
2 2 0
1 2 1
2 1 0
1 3 2
0 2 2
1 0 2
0 1 0
2 3 0
3 0 2
3 2 3
10 6
1 1 2
0 0 0
1 2 2
2 1 2
1 2 0
2 1 0
2 0 1
2 2 0
1 0 1
2 0 0
10 2
1 2 1
0 0 1
1 1 2
2 1 2
1 2 2
1 0 2
1 2 0
2 1 1
2 2 2
1 1 0
10 7
3 3 0
3 1 0
3 3 3
0 0 0
1 0 0
3 2 1
1 0 1
1 3 1
1 3 3
3 3 1
10 4
3 2 3
3 2 0
0 0 3
1 3 3
0 2 0
0 0 0
1 1 1
3 3 1
3 0 1
3 1 0
10 9
0 2 0
1 1 0
2 3 2
1 2 0
3 0 2
0 0 2
2 1 3
1 1 3
0 1 3
2 3 0
10 6
2 1 0
3 3 3
3 1 2
0 0 3
2 2 2
2 3 2
0 2 1
3 2 0
3 2 2
1 3 1
10 2
2 1 2
0 0 0
2 0 0
0 2 2
2 2 1
1 2 2
0 1 0
2 0 1
0 2 0
0 0 1
10 7
2 0 0
1 0 1
0 1 0
0 2 2
0 0 2
2 0 1
2 1 2
1 1 1
0 2 0
0 0 1
10 5
0 3 1
1 1 0
2 3 2
3 1 0
1 3 1
2 1 3
1 3 2
2 2 3
0 1 1
3 2 1
10 5
2 1 2
1 0 1
2 1 1
0 1 1
0 1 2
2 2 0
2 1 0
1 0 2
0 2 2
0 2 1
10 8
2 1 0
0 0 0
1 1 0
1 0 1
1 2 2
1 0 2
2 2 2
1 0 0
2 0 1
2 1 1
10 7
0 0 1
0 1 0
1 0 0
1 0 2
0 0 0
2 1 0
2 2 0
1 1 2
2 2 1
0 1 2
10 4
1 0 2
2 2 1
1 1 1
2 1 1
1 1 2
0 1 1
2 2 2
2 1 0
2 0 1
0 2 0
10 6
2 0 0
2 1 1
2 0 1
2 2 0
2 2 2
1 1 2
0 0 2
2 2 1
2 1 2
1 1 1
10 7
0 2 1
1 2 0
0 1 2
1 2 2
2 1 0
0 0 1
2 1 1
2 0 0
0 2 2
0 0 0
10 9
3 0 0
1 0 1
2 1 3
3 2 3
0 2 3
1 2 0
1 2 3
0 3 0
2 0 3
0 1 3
10 6
2 1 2
3 3 3
0 0 1
1 2 0
0 3 1
3 2 3
1 1 0
0 2 3
3 0 2
3 1 1
10 7
1 1 2
0 0 1
1 0 0
1 0 2
1 1 1
1 2 2
0 1 1
2 0 0
2 1 0
2 0 1
10 6
1 3 1
0 1 3
1 0 1
1 2 2
2 2 1
1 1 1
1 2 3
1 1 2
0 1 2
0 3 3
10 3
1 0 1
0 1 2
0 0 2
0 1 0
0 0 0
2 0 2
0 2 1
0 2 2
2 2 1
2 2 0
10 8
0 2 0
2 1 1
2 0 2
1 0 0
1 2 0
2 2 0
1 2 2
2 1 0
0 2 1
1 0 1
10 7
0 2 0
2 0 2
2 0 0
1 0 2
1 2 0
1 0 1
2 1 2
1 1 0
2 2 1
2 2 0
10 3
0 0 1
2 2 1
2 2 0
2 0 2
2 2 2
1 0 2
1 0 0
0 0 2
0 2 1
0 2 2
10 7
2 0 0
3 3 0
1 2 2
1 0 1
3 2 0
1 1 3
2 2 3
0 1 0
2 2 1
0 0 0
10 7
0 0 0
1 0 1
2 1 0
1 1 1
1 2 1
0 0 2
2 2 2
2 1 1
0 0 1
2 1 2
10 6
1 1 0
1 0 2
2 1 1
2 0 0
0 1 0
0 1 2
1 0 0
0 2 0
0 0 2
0 0 0
10 2
0 1 3
3 2 1
3 1 1
0 3 1
3 0 3
0 3 3
0 3 2
0 2 2
2 3 3
0 0 3
10 7
2 0 2
1 1 1
1 2 0
0 0 0
0 1 0
1 0 0
2 2 2
0 2 2
1 2 2
0 1 1
10 4
1 0 1
2 1 0
2 0 1
2 1 1
1 2 1
1 0 2
2 2 0
0 1 1
0 1 0
2 0 0
10 6
2 1 2
0 0 0
0 0 1
2 1 0
0 2 0
0 1 0
1 1 1
0 2 1
2 1 1
0 1 1
10 6
3 3 2
3 1 3
3 1 2
0 3 2
1 0 1
1 0 0
0 1 0
2 1 2
1 1 0
3 1 0
10 4
3 0 3
0 3 3
2 3 2
3 0 2
3 2 0
3 1 0
1 0 1
2 1 3
0 1 1
2 1 2
10 8
2 0 3
0 0 0
3 1 3
1 3 0
1 1 0
0 2 1
3 0 3
0 2 0
1 2 2
2 2 2
10 2
2 0 0
2 2 2
1 1 2
0 1 0
0 0 1
1 0 2
0 2 0
2 1 1
0 2 1
1 1 0
10 7
1 1 1
1 0 2
2 1 2
1 2 0
0 1 0
1 0 1
0 0 2
2 1 1
1 2 1
2 2 2
10 9
2 1 2
0 1 0
3 1 0
3 1 1
1 1 2
3 1 2
0 3 2
1 3 3
1 3 0
0 3 3
10 7
2 1 1
1 2 1
2 0 0
1 3 1
2 1 3
3 2 3
2 0 2
2 2 1
3 1 3
3 2 1
10 2
2 2 1
1 1 0
1 2 1
1 0 2
0 2 0
1 1 2
2 0 0
1 2 2
2 1 0
0 1 1
10 9
0 1 0
1 2 2
0 3 3
1 2 1
2 0 1
2 1 2
0 3 1
3 2 1
1 3 3
2 2 2
10 9
3 1 0
3 0 1
0 3 1
2 2 0
0 1 1
3 2 3
1 0 1
1 0 3
1 0 2
3 1 2
10 8
0 3 2
2 3 2
1 1 2
2 3 0
2 1 2
0 0 1
1 2 0
0 2 3
1 2 2
2 2 0
10 7
0 0 0
1 0 0
0 0 2
1 2 1
0 2 1
0 0 1
1 2 2
1 1 1
0 1 2
1 1 0
10 9
3 0 0
3 1 1
1 3 0
3 0 2
0 2 2
2 1 3
0 1 3
0 0 0
2 3 2
2 1 1
10 8
3 1 0
1 0 1
1 2 1
0 2 0
3 0 2
0 1 1
2 2 2
3 3 0
1 0 3
1 1 2
10 9
2 0 0
0 2 1
1 1 2
0 0 0
0 0 1
2 2 1
0 0 2
0 1 0
0 2 0
1 0 0
10 4
0 0 0
1 1 0
0 0 1
0 2 0
2 1 2
2 0 0
0 0 2
2 2 2
1 0 0
1 0 2
10 8
3 0 3
2 1 2
0 1 2
3 1 1
1 0 3
3 2 1
1 1 0
1 2 1
2 2 0
0 3 3
10 9
3 0 2
3 0 0
0 2 3
2 2 1
3 1 0
1 3 1
3 2 1
1 1 2
3 1 1
3 3 2
10 4
1 3 0
1 3 1
2 0 0
1 1 2
1 0 1
0 0 3
1 2 0
0 2 3
0 3 0
3 2 3
10 2
1 0 2
2 1 0
0 0 2
2 2 1
1 2 0
1 1 0
2 2 2
1 2 2
0 1 1
2 0 1
10 4
0 1 2
2 1 1
0 0 2
2 0 0
0 2 0
2 1 0
1 1 2
0 0 0
1 0 2
1 0 1
10 6
2 3 0
1 2 3
1 1 1
1 0 3
3 0 0
1 0 1
1 3 2
1 2 0
0 3 2
1 3 3
10 9
2 0 3
1 1 0
3 1 2
3 0 0
2 1 0
3 1 0
1 2 3
0 1 3
1 3 0
0 3 3
10 4
1 2 0
3 1 0
3 3 1
0 0 0
0 1 2
0 3 0
3 3 2
3 3 0
3 0 0
1 1 0
10 7
3 2 3
0 1 1
2 1 0
0 0 2
2 0 0
0 2 2
1 0 2
1 1 0
3 3 3
1 1 2
10 2
2 2 2
1 0 0
1 0 2
1 1 0
1 2 0
2 1 1
1 2 1
0 1 0
1 2 2
2 0 2
10 2
2 2 1
0 0 0
2 1 1
0 1 1
1 1 2
0 0 2
0 2 2
2 0 2
2 1 0
2 0 0
10 6
2 2 3
3 2 0
3 3 2
2 0 0
1 1 0
2 3 1
2 0 2
0 2 3
3 3 0
2 1 2
10 4
2 1 3
3 1 2
2 1 0
0 0 1
3 1 3
3 2 1
1 2 2
0 3 3
2 2 0
0 0 2
10 2
0 3 2
1 2 0
2 3 3
0 1 0
1 1 2
1 1 1
1 3 2
3 0 0
0 2 2
1 2 2
10 4
0 1 1
1 3 2
2 2 1
0 3 3
1 1 3
2 0 2
0 1 2
3 2 1
1 2 0
2 2 2
10 6
2 2 1
2 0 0
0 0 2
2 1 2
1 2 0
1 2 1
2 2 2
2 1 0
2 1 1
2 0 1
10 6
2 1 0
1 0 0
0 2 1
0 1 0
1 0 2
2 1 2
0 1 1
2 0 1
2 0 2
1 1 0
10 2
2 3 2
1 2 0
2 2 3
3 0 0
2 2 2
2 3 0
2 3 1
3 2 0
0 0 0
3 2 2
10 6
3 3 0
1 3 2
0 0 2
2 2 2
1 0 0
2 3 3
3 0 2
1 0 1
3 2 3
2 2 0
10 6
1 3 3
3 3 3
0 0 2
3 3 2
0 0 1
1 2 2
2 1 0
0 1 3
3 0 0
1 0 1
10 7
0 2 1
0 0 0
2 0 0
1 0 2
0 1 2
1 1 0
2 1 2
2 0 1
1 1 2
0 0 1
10 6
1 1 2
2 0 1
0 1 1
2 2 0
1 2 1
2 0 2
0 0 2
2 1 2
1 1 0
0 2 0
10 9
0 2 2
3 2 0
0 0 2
1 3 1
3 2 3
0 2 1
2 2 0
0 0 0
1 3 0
0 3 2
10 3
2 0 0
0 2 0
1 1 1
1 2 2
1 0 0
2 1 1
1 1 2
0 1 0
2 0 1
2 0 2
10 4
1 1 0
2 1 1
2 1 2
0 1 2
0 1 0
0 2 1
2 0 0
1 2 1
2 2 2
2 0 1
10 7
2 1 1
2 0 0
2 0 2
1 1 0
1 2 0
0 2 2
2 2 2
0 0 0
0 1 1
0 2 1
10 2
0 2 2
1 1 1
2 2 1
1 0 0
1 2 2
2 1 2
0 2 1
0 0 0
0 0 2
0 1 1
10 3
1 1 2
0 2 0
2 0 0
1 0 0
1 2 1
2 1 1
2 1 0
0 1 2
0 1 1
1 2 0
10 7
2 2 2
3 3 0
2 0 2
3 0 3
0 3 2
0 2 3
1 1 1
3 2 3
1 0 1
1 0 0
10 3
1 0 1
3 3 3
3 0 0
0 0 2
2 0 1
3 3 2
1 3 0
1 2 1
3 2 0
2 1 0
10 7
0 2 2
2 3 0
3 0 3
0 1 1
2 1 1
0 1 3
1 2 0
0 3 1
0 1 2
1 1 2
10 8
0 2 2
1 1 1
2 1 1
0 0 1
1 1 0
0 2 0
1 2 0
2 2 1
2 1 0
0 0 2
10 9
2 0 2
1 0 0
2 0 0
0 0 2
1 2 0
1 2 1
0 1 0
0 1 1
1 1 1
2 2 1
10 3
0 3 2
3 0 0
1 3 1
1 2 0
1 0 1
0 1 1
1 0 3
2 2 2
2 2 3
2 3 1
10 6
1 2 2
2 2 2
1 1 2
2 0 2
0 2 0
1 1 1
2 0 0
1 0 0
2 1 0
1 2 0
10 8
1 2 1
3 1 3
2 0 2
0 2 1
3 2 0
2 2 0
2 1 2
1 3 1
2 0 1
1 2 0
10 4
0 0 2
0 0 1
0 2 1
0 0 0
1 1 2
3 2 3
1 0 1
3 0 0
3 1 0
1 2 3
10 3
0 0 0
1 1 0
1 2 2
1 2 0
2 0 0
0 1 0
0 0 2
2 0 1
1 1 1
1 0 0
10 5
2 2 2
0 3 2
2 1 3
3 1 3
0 2 1
3 2 2
3 0 0
1 2 1
2 0 3
1 1 2
10 8
0 1 2
2 1 2
2 2 0
0 0 1
2 2 1
2 1 1
0 1 0
1 2 3
1 2 1
3 0 2
10 8
1 1 1
1 2 2
2 1 1
0 1 0
0 1 1
1 1 2
2 0 0
2 0 2
0 0 1
2 1 0
10 2
3 2 2
0 0 3
1 0 0
0 0 2
1 0 1
3 3 2
2 0 2
2 3 2
0 3 1
0 2 2
10 6
1 1 0
2 0 1
1 2 1
2 2 2
0 1 2
0 2 0
2 0 0
0 0 1
1 2 0
0 0 2
10 2
0 0 1
3 0 3
3 2 2
2 2 0
3 2 0
3 3 2
1 1 1
3 1 1
3 1 2
0 3 2
10 7
0 1 0
2 0 1
2 0 0
1 1 0
1 1 2
0 2 2
0 2 0
2 1 2
0 0 0
1 2 0
10 2
0 2 2
1 2 2
0 1 2
2 0 1
1 2 0
2 1 0
0 0 2
2 0 2
0 1 1
2 2 0
10 5
1 0 3
1 3 1
1 3 2
2 1 1
2 3 3
3 3 2
2 0 3
2 2 1
0 1 1
0 2 1
10 6
2 0 3
1 3 2
0 2 2
2 1 2
1 0 1
3 0 1
0 3 2
2 3 2
3 2 1
0 2 0
10 3
1 2 2
1 0 1
1 0 0
0 0 1
2 0 0
0 0 2
2 1 2
1 2 1
2 1 0
0 2 2
10 5
0 2 1
1 0 1
0 0 2
1 2 2
3 3 3
2 3 1
2 2 1
2 3 3
3 3 2
3 2 3
10 8
2 2 3
1 2 0
3 3 0
0 2 3
3 0 3
0 3 3
2 2 2
3 3 1
0 2 2
0 3 0
10 7
2 1 0
0 0 1
0 1 1
2 2 0
1 1 1
2 0 0
2 0 1
1 0 0
1 0 2
1 2 1
10 5
0 3 3
2 3 1
1 2 1
2 1 2
0 1 3
0 0 3
1 3 2
1 2 0
0 2 2
3 1 0
10 2
1 1 0
0 0 0
0 2 0
1 1 2
0 1 1
0 1 2
0 0 1
2 0 0
2 1 1
1 2 2
10 8
2 2 0
1 2 1
1 2 2
2 0 2
0 1 0
0 2 0
0 2 1
1 2 0
2 1 2
2 0 1
10 6
2 1 1
1 1 1
2 2 1
0 1 1
2 1 2
1 1 0
2 0 0
0 2 0
2 0 1
2 0 2
10 2
2 2 0
0 1 0
0 2 2
2 1 0
2 0 0
1 2 2
0 0 0
1 0 0
0 2 1
2 0 1
10 5
1 2 0
1 1 1
0 2 0
0 1 2
0 0 2
1 2 2
1 1 0
0 1 0
0 0 1
2 2 1
10 4
1 1 0
2 1 0
2 2 0
1 1 2
2 2 2
2 2 1
1 2 2
0 2 0
0 1 0
0 2 2
10 2
3 0 0
1 1 3
2 3 3
0 1 1
2 1 0
1 3 2
3 1 2
2 2 3
1 3 3
1 0 0
10 2
1 1 0
0 1 1
2 0 1
0 0 0
1 1 2
1 2 0
2 1 2
1 0 2
0 2 1
1 0 1
10 7
0 1 2
1 1 2
1 2 2
1 1 0
0 1 0
1 1 1
2 1 1
0 2 0
1 2 0
2 0 1
10 8
2 1 2
0 1 1
0 0 0
0 0 1
2 0 2
0 2 1
0 2 2
2 2 2
1 2 1
1 0 0
10 7
0 2 1
2 2 0
0 0 0
2 2 2
1 1 1
1 1 2
0 0 1
2 1 2
1 2 2
2 0 1
10 2
1 2 2
2 1 1
2 2 2
1 0 2
2 1 0
0 2 1
0 2 2
2 0 0
0 1 1
0 0 1
10 5
0 0 2
2 3 1
3 1 3
1 1 3
2 1 1
1 1 2
2 0 0
0 0 0
3 3 1
2 3 3
10 6
0 1 0
1 1 2
0 0 1
0 2 1
0 2 2
0 0 0
0 1 1
2 2 1
2 0 0
0 1 2
10 6
2 2 0
0 2 2
1 1 0
0 0 0
2 2 1
2 1 2
2 1 0
1 0 0
1 2 0
2 0 0
10 7
0 2 2
1 1 0
2 1 1
0 2 1
0 1 2
1 2 0
1 2 2
0 1 1
2 2 1
2 2 0
10 6
2 2 3
3 3 1
1 2 3
2 2 1
1 0 0
3 0 2
3 2 2
2 1 0
1 3 3
1 2 1
10 9
2 1 2
2 2 1
0 1 0
0 2 0
2 0 1
0 0 2
2 0 0
1 2 1
0 2 2
2 2 2
10 6
1 2 2
2 2 1
0 0 0
1 1 2
3 1 1
3 0 0
3 0 3
0 2 3
0 3 3
1 3 3
10 8
1 1 1
2 2 0
1 1 0
2 0 0
0 2 1
0 1 0
2 1 1
1 0 1
1 0 0
0 0 1
10 3
0 2 2
2 2 2
1 0 1
0 1 1
2 2 1
2 2 0
2 0 0
0 2 0
1 0 2
0 0 0
10 2
1 0 2
2 2 0
2 1 0
1 0 0
2 0 0
1 0 1
0 2 1
0 1 0
2 1 2
1 1 1
10 6
0 2 0
1 0 1
2 1 2
1 1 1
0 0 2
0 0 1
0 2 1
2 0 0
2 2 1
1 0 0
10 2
2 1 0
0 3 1
3 1 1
2 3 0
3 1 2
3 2 2
2 2 2
0 0 2
2 0 1
0 1 0
10 4
2 0 1
1 0 1
0 0 2
1 0 2
1 1 1
1 1 2
2 1 0
2 0 0
0 1 1
2 2 1
10 2
0 0 2
1 2 3
3 0 3
3 2 0
1 0 0
1 0 2
3 1 0
0 2 1
0 1 0
1 1 1
10 4
2 2 2
1 1 2
1 1 1
2 1 2
2 0 0
2 1 0
1 2 1
0 2 2
0 0 0
1 0 1
10 5
0 1 0
2 2 2
1 2 0
0 2 1
0 0 0
2 0 2
2 1 1
2 0 1
1 1 1
0 2 0
10 9
0 0 2
2 3 0
3 3 1
1 2 0
3 3 3
0 3 0
2 0 3
3 0 0
1 3 0
1 3 1
10 8
0 1 0
0 0 0
1 1 2
0 2 2
1 2 1
1 0 1
2 2 1
1 1 0
0 1 1
2 2 2
10 7
3 2 2
0 0 2
0 2 1
3 0 3
2 1 0
3 0 1
2 3 0
2 3 3
2 0 0
1 0 2
10 4
2 1 0
2 1 1
0 2 1
3 3 1
2 2 3
0 1 2
3 3 2
3 3 3
2 1 2
3 0 0
10 8
2 2 0
2 2 2
2 0 0
2 0 2
1 2 2
2 2 1
1 1 1
0 0 1
1 2 0
2 1 2
10 6
2 1 2
0 1 1
2 1 0
1 1 0
0 2 0
2 0 2
2 0 0
0 0 1
0 0 0
2 1 1
10 6
2 0 1
1 2 2
1 0 2
0 0 1
0 0 2
1 1 0
2 2 0
0 1 2
1 2 0
2 1 2
10 9
2 0 0
1 2 1
3 1 2
3 2 3
0 2 1
3 2 2
3 3 0
1 0 0
1 0 2
1 2 2
10 9
2 2 2
1 0 1
0 1 1
2 1 0
1 2 2
1 1 2
2 2 0
0 1 2
2 0 0
0 2 0
10 3
3 0 1
2 1 3
2 2 3
1 2 0
2 1 0
0 2 0
3 2 0
2 0 0
3 1 2
2 3 3
10 8
1 2 2
1 2 1
2 0 1
2 2 2
0 1 2
2 1 2
0 0 2
2 0 2
1 2 0
0 0 0
10 9
3 1 3
1 2 2
1 1 1
3 2 1
2 3 3
3 2 2
0 3 3
0 2 0
0 0 0
1 1 0
10 5
0 0 0
0 2 1
2 1 2
0 0 1
1 0 0
2 2 3
3 1 0
1 0 2
1 3 2
0 1 0
10 6
0 0 0
0 1 1
1 2 0
2 2 2
1 1 1
1 1 2
0 2 1
2 0 1
0 0 2
0 1 2
10 9
0 0 1
1 3 3
3 2 1
0 1 0
1 0 3
0 1 2
1 1 2
3 0 1
1 2 0
3 2 2
10 4
2 1 0
2 1 2
1 1 0
1 2 2
0 1 1
0 1 0
2 0 0
2 0 1
0 0 0
1 0 0
10 2
0 0 1
1 0 2
1 1 1
1 2 0
1 0 1
0 1 2
2 0 1
0 0 0
1 2 2
2 0 0
10 7
2 0 2
0 1 1
1 2 0
0 1 2
2 2 0
0 0 1
1 1 0
2 0 0
1 0 2
0 2 0
10 3
0 2 2
1 0 0
0 0 0
2 2 1
0 1 1
1 2 0
1 0 1
2 0 0
1 1 2
0 2 1
10 9
0 2 0
0 2 1
1 0 0
2 1 0
2 1 2
2 0 0
1 1 2
1 2 0
2 2 0
1 0 2
10 6
1 0 2
0 0 2
0 0 1
1 2 2
1 1 0
0 1 0
0 2 1
0 1 2
2 1 0
2 2 1
10 2
0 2 2
1 0 2
0 0 1
2 1 2
0 1 1
1 2 0
0 2 0
2 2 0
1 2 1
2 0 2
10 8
2 1 0
0 2 0
2 3 2
3 1 1
3 2 0
3 1 0
1 1 1
2 1 3
2 0 2
2 0 1
10 9
1 2 0
2 0 2
2 3 3
0 1 2
2 1 1
2 0 3
3 3 0
2 3 0
1 2 2
1 3 3
10 6
2 2 2
0 0 2
2 1 0
1 2 0
2 1 2
0 0 0
0 1 0
1 2 2
0 2 2
0 2 0
10 6
3 1 0
2 2 1
3 2 3
0 1 0
3 1 1
3 0 2
0 0 3
1 1 1
2 1 2
2 3 1
10 5
0 2 2
1 2 2
0 1 1
1 1 1
1 0 0
0 0 0
2 2 2
0 0 1
2 1 1
2 0 0
10 2
3 0 1
3 3 0
2 1 1
2 2 0
3 2 1
2 1 0
3 3 2
0 0 3
2 3 0
2 3 2
10 2
1 2 1
1 3 2
1 0 3
2 3 2
0 1 0
0 2 2
1 2 0
1 1 0
2 1 1
2 1 0
10 8
1 3 2
0 1 0
3 3 3
1 3 3
1 0 1
3 1 1
0 0 3
1 2 1
0 2 3
0 1 1
10 5
2 0 0
0 0 2
1 1 2
2 1 0
0 0 0
0 1 0
2 1 1
0 2 2
1 0 1
0 0 1
10 2
2 0 0
2 1 1
2 0 2
1 2 2
0 2 1
2 2 0
2 1 0
1 2 0
2 1 2
1 0 2
10 3
1 3 3
3 3 2
3 1 0
1 3 2
3 1 2
3 0 1
2 0 2
1 0 3
2 3 3
2 0 3
10 3
2 1 0
0 2 0
2 0 0
1 0 0
0 1 1
1 0 3
3 0 1
1 1 2
2 1 2
0 2 3
10 3
3 1 3
3 1 0
2 2 1
2 3 3
2 2 3
1 3 3
2 1 1
2 3 2
1 2 3
3 3 1
10 3
2 1 0
0 0 2
1 2 0
0 0 0
0 1 0
1 2 2
2 1 2
2 0 2
2 0 1
0 0 1
10 8
1 1 0
0 0 3
0 1 0
0 2 0
0 1 2
2 1 2
2 0 2
1 0 1
2 0 0
1 3 3
10 2
1 2 1
0 0 2
0 1 2
0 0 0
0 1 0
1 1 1
0 2 1
0 0 1
2 2 1
0 1 1
10 8
0 2 1
0 3 3
3 2 0
2 1 2
1 3 0
3 3 0
0 1 2
3 3 3
3 1 3
3 0 3
10 2
2 1 0
0 2 0
1 2 2
1 2 0
0 1 2
2 0 0
0 0 2
0 1 1
0 0 0
1 1 1
10 9
2 2 3
2 0 0
1 1 0
1 2 1
2 2 1
0 1 3
2 0 1
3 2 1
1 0 3
0 2 0
10 3
3 3 0
1 0 0
3 1 1
3 0 0
3 0 2
3 3 3
1 1 1
3 2 2
2 2 1
2 1 3
10 2
0 2 2
1 1 1
2 2 2
0 1 1
2 0 2
2 2 0
1 0 2
1 0 1
1 2 1
1 0 0
10 2
0 2 0
0 0 0
2 2 1
1 2 2
2 1 2
2 1 0
0 2 2
1 0 1
0 1 1
2 0 1
10 4
1 2 1
3 2 2
2 1 3
3 2 1
3 3 2
0 0 1
1 1 3
0 0 0
3 0 3
2 1 0
10 5
1 2 1
1 0 2
1 2 2
0 0 2
2 2 0
1 1 0
2 0 1
1 2 0
2 0 0
1 0 1
10 4
2 1 0
0 0 0
2 1 1
0 2 2
2 0 2
1 1 0
2 2 1
1 0 2
0 1 2
1 1 1
10 5
2 1 0
2 1 2
2 2 0
2 2 2
0 0 2
1 2 2
0 0 1
1 0 1
0 1 1
0 2 2
10 7
0 0 0
3 2 2
0 3 0
1 3 0
2 3 2
0 2 2
3 1 0
0 1 3
2 1 2
2 2 2
10 8
2 1 3
0 0 1
3 3 0
3 1 1
2 3 0
1 1 1
3 2 2
2 1 0
3 3 1
1 1 0
10 7
2 2 2
2 0 1
1 0 0
1 2 1
0 0 0
1 1 0
3 2 1
2 3 2
1 2 2
2 3 0
10 5
1 3 1
2 0 1
2 3 2
0 2 3
3 0 1
3 3 2
0 2 2
3 2 3
1 0 0
2 2 3
10 8
2 0 0
3 2 0
0 0 2
0 2 2
3 2 1
0 3 3
1 3 3
2 2 0
3 0 2
1 1 0
10 7
0 2 0
2 2 1
1 0 2
0 1 1
1 0 0
1 1 1
0 0 0
2 1 2
0 1 0
1 1 0
10 4
0 0 1
0 1 2
1 0 1
0 2 0
2 1 2
1 0 2
2 2 0
2 1 0
2 0 0
0 2 1
10 3
0 3 3
3 3 0
3 3 1
0 1 0
1 1 3
0 0 2
0 1 2
0 2 2
2 0 3
2 3 1
10 3
2 0 2
2 2 1
0 2 1
1 1 1
2 1 2
1 0 2
0 2 0
1 2 2
0 1 2
1 0 1
10 8
1 2 1
1 2 2
0 2 2
1 2 0
1 1 1
2 1 1
0 0 1
1 0 2
0 0 2
0 1 1
10 2
0 2 2
1 1 1
0 2 0
2 0 0
0 0 2
1 2 0
2 0 1
1 1 0
1 1 2
0 1 2
10 8
3 2 2
0 2 3
2 3 0
2 1 2
3 0 2
3 0 0
2 2 0
2 2 2
1 2 1
1 0 3
10 5
0 2 1
3 0 2
0 1 2
0 3 0
3 1 1
1 2 2
3 0 1
0 0 0
1 1 3
2 0 2
10 6
2 1 2
0 1 1
1 1 2
1 0 0
1 1 0
2 0 0
0 0 0
0 0 2
0 1 0
2 0 1
10 4
3 0 3
3 2 2
3 0 2
1 2 1
3 1 1
1 1 3
1 3 0
1 3 2
3 0 1
0 3 0
10 6
3 2 2
3 0 0
0 3 2
1 1 3
3 1 2
0 3 3
3 1 1
3 2 3
2 1 0
0 1 3
10 7
2 2 2
3 2 1
0 1 1
3 0 1
2 3 2
1 3 0
0 2 0
0 2 1
1 1 3
3 2 3
10 9
1 0 1
0 3 1
0 1 3
2 0 0
0 3 0
3 1 3
1 2 3
0 0 3
3 0 3
3 1 0
10 6
2 0 0
0 0 2
0 2 0
1 1 2
0 0 0
1 1 0
0 1 0
2 1 1
1 0 0
1 1 1
10 8
2 2 0
3 0 2
0 0 0
1 3 1
1 3 2
2 0 0
1 0 3
2 0 3
2 0 2
0 2 2
10 5
1 1 1
2 2 0
1 1 2
2 0 1
1 1 0
1 0 0
0 0 0
2 2 2
0 2 0
1 2 0
10 4
1 3 1
1 3 3
1 1 2
0 0 0
1 3 0
0 0 1
0 2 3
3 1 1
3 3 2
3 3 1
10 3
2 2 1
2 1 0
0 0 1
1 0 0
0 1 1
2 2 0
0 2 0
0 2 1
0 0 0
2 0 0
10 2
2 0 1
0 1 1
2 0 0
0 0 0
0 1 2
0 0 2
2 2 1
2 0 2
1 1 1
0 2 1
10 6
0 1 1
0 0 1
0 2 0
1 0 2
1 1 2
1 0 1
2 0 2
1 1 0
0 1 2
1 2 0
10 8
1 0 2
2 0 0
0 0 0
0 2 0
2 1 2
0 1 1
2 0 2
2 2 0
2 1 0
1 2 1
10 3
0 1 2
2 1 3
2 2 1
2 3 3
3 1 2
1 3 0
3 1 0
3 0 1
2 3 0
0 2 1
10 7
1 1 2
2 2 0
0 2 0
0 1 1
2 2 2
2 0 1
2 1 2
2 1 0
2 0 2
1 0 0
10 7
2 1 0
3 0 1
2 1 1
1 2 2
0 1 1
2 3 2
3 2 1
3 2 3
2 2 1
2 1 2
10 2
0 2 0
2 0 0
2 1 0
1 1 2
1 0 1
1 0 2
0 1 1
2 2 0
2 0 1
2 2 2
10 9
1 0 0
0 1 2
1 2 1
0 2 0
0 1 1
2 2 2
0 0 1
0 1 0
1 1 0
1 0 1
10 9
2 0 1
0 1 1
1 2 1
0 0 2
1 1 1
2 1 1
1 2 2
1 0 2
2 1 0
0 2 2
10 6
2 0 2
1 1 1
1 2 1
1 1 2
0 1 0
1 0 2
0 0 2
1 0 1
2 2 2
2 0 0
10 8
1 2 1
0 1 0
1 1 0
1 2 0
0 2 1
2 0 1
2 0 2
1 0 2
1 0 1
1 1 2
10 8
1 0 2
1 0 1
1 2 1
1 1 2
2 2 1
1 1 0
0 1 1
2 0 1
0 2 0
2 1 1
10 2
2 0 2
0 0 2
0 0 1
0 1 1
0 1 0
1 1 0
2 2 2
2 2 0
1 1 1
2 1 2
10 2
1 1 0
0 2 0
0 1 2
2 2 2
1 1 2
0 0 1
1 2 0
0 1 0
2 2 1
2 1 0
10 6
2 1 3
2 0 1
2 2 2
0 2 1
2 0 2
0 3 0
1 3 3
1 3 2
1 1 1
3 3 3
10 9
3 1 1
0 1 2
1 2 3
0 3 0
3 0 1
3 0 0
0 2 1
3 2 0
2 3 2
0 3 2
10 8
2 0 0
1 2 1
2 2 2
1 2 0
0 1 1
2 1 1
2 0 2
2 2 1
0 0 2
1 1 1
10 6
1 0 1
1 0 0
2 2 2
0 0 2
0 2 0
2 2 0
2 0 2
1 2 0
2 1 0
0 1 1
10 8
2 1 1
3 0 2
3 0 0
2 3 2
1 0 3
2 1 2
1 2 1
0 2 2
1 0 0
0 3 1
10 7
0 1 2
1 2 1
2 1 2
0 2 1
0 0 2
1 0 0
1 1 0
1 1 1
0 0 0
2 1 1
10 4
2 1 3
1 2 1
1 0 3
1 3 0
0 1 3
1 0 2
3 0 2
0 0 3
3 3 2
1 2 2
10 5
3 2 1
0 1 3
3 3 3
2 2 1
0 3 2
1 3 3
3 1 3
1 0 2
3 3 2
2 3 0
10 9
1 2 1
1 2 3
3 3 3
1 2 2
1 0 1
3 3 1
0 0 0
0 1 1
3 2 2
3 1 1
10 7
0 0 2
2 2 1
0 2 1
1 0 2
0 1 0
2 2 0
0 1 1
2 2 2
0 0 1
2 0 0
10 7
1 0 2
2 0 3
0 2 3
0 1 3
2 2 3
3 2 1
3 0 0
3 0 2
1 3 3
0 0 1
10 6
2 0 2
2 2 1
0 0 2
1 2 0
0 1 2
1 0 2
0 2 1
1 0 0
0 0 1
2 1 1
10 7
1 3 3
1 0 2
1 1 2
2 1 0
1 2 3
3 0 0
2 3 3
3 3 2
0 0 1
2 1 2
10 6
1 3 2
1 1 2
0 2 2
2 2 2
3 1 2
1 0 0
0 1 2
0 2 0
0 3 3
0 3 0
10 3
2 1 0
1 0 1
1 1 0
0 1 1
2 2 0
2 0 2
0 2 2
2 0 0
0 0 0
1 0 0
10 2
1 2 0
2 1 2
1 2 1
1 2 2
2 1 0
1 0 0
2 2 1
1 0 1
0 2 0
0 1 1
10 5
2 2 3
0 0 2
3 0 0
2 1 0
3 3 3
0 3 1
3 1 1
0 2 0
2 1 1
1 3 2
10 6
2 0 2
1 1 0
1 0 0
2 0 1
0 1 1
1 0 1
0 1 2
0 2 2
1 2 0
0 0 1
10 8
0 0 2
1 2 0
2 1 0
2 2 2
1 0 2
1 0 1
2 0 1
2 1 1
0 2 0
2 1 2
10 3
1 0 0
2 1 1
0 0 0
2 0 2
1 1 2
0 0 1
2 1 2
1 2 0
2 0 0
0 1 0
10 4
0 1 1
1 2 0
0 2 2
1 1 0
2 0 1
0 2 1
2 1 2
1 2 2
2 1 0
2 0 2
10 5
0 2 2
2 1 0
2 1 1
0 0 0
2 0 2
0 2 0
1 1 2
1 2 2
0 1 1
1 1 0
10 7
1 2 1
1 1 2
0 1 2
1 0 0
0 2 1
1 2 0
2 0 1
0 0 0
0 2 0
2 2 1
10 2
2 2 1
2 1 0
1 2 0
0 1 2
1 1 2
2 2 0
0 1 0
2 0 2
2 1 1
1 2 2
10 9
2 2 2
2 0 1
1 2 1
2 2 0
1 0 0
0 2 1
2 1 1
0 0 1
1 1 2
0 0 0
10 2
2 0 0
1 1 0
2 0 2
2 2 1
1 1 1
1 2 1
2 1 1
0 0 0
1 0 2
1 1 2
10 6
2 3 2
0 1 1
2 3 3
0 1 2
3 0 3
3 0 2
0 1 3
1 2 0
1 0 1
1 3 2
10 5
1 2 1
1 2 2
2 1 0
2 2 0
0 1 0
2 0 2
2 1 2
1 2 0
1 0 0
2 0 0
10 8
0 1 1
2 1 1
0 0 0
1 0 2
0 2 0
2 1 0
0 2 1
2 1 2
0 2 2
0 0 2
10 4
3 1 0
0 0 0
2 0 1
1 0 3
0 1 2
0 2 1
3 3 1
0 2 0
2 1 3
3 0 1
10 6
2 1 2
0 0 3
3 3 1
1 3 2
1 3 0
3 0 0
2 2 3
0 3 0
3 1 0
2 1 3
10 6
2 1 1
2 1 2
1 1 1
2 0 2
0 0 0
2 0 1
0 2 0
0 0 1
2 0 0
2 1 0
10 5
3 2 1
3 3 1
3 1 3
3 1 1
1 2 1
1 1 2
1 3 0
1 0 0
0 1 0
2 2 3
10 4
2 3 3
1 1 0
2 2 3
3 0 2
2 3 0
2 2 0
0 2 0
0 1 0
0 0 3
0 0 0
10 5
0 3 0
3 0 3
0 3 2
3 2 1
2 3 2
0 0 1
2 1 2
1 3 0
3 1 3
2 2 2
10 2
1 0 1
0 1 2
1 2 2
0 2 3
3 0 0
2 0 3
0 3 2
1 2 1
0 3 3
3 3 1
10 4
3 1 1
1 1 1
1 0 3
3 2 2
3 0 2
1 2 0
0 3 0
3 2 1
3 3 2
3 0 3
10 6
2 1 2
2 0 2
1 1 1
1 2 1
3 3 2
0 0 0
2 3 2
1 3 0
1 1 3
2 1 1
10 8
2 0 1
2 2 1
2 1 1
1 1 1
1 2 0
1 0 2
1 2 1
0 2 1
0 0 0
2 1 2
10 3
2 0 0
0 1 1
1 0 2
0 2 1
1 1 0
2 0 1
0 2 2
1 2 0
0 2 0
2 0 2
10 3
2 0 2
1 1 2
2 2 1
2 1 3
1 3 1
0 2 0
0 0 2
1 3 3
2 3 1
0 3 2
10 2
1 0 0
1 1 3
0 3 0
0 3 1
1 1 1
1 0 3
2 1 1
2 0 1
3 2 3
2 0 2
10 3
2 1 1
2 0 1
1 0 0
1 0 2
0 0 1
0 2 0
1 2 2
0 1 2
1 2 0
0 2 1
10 8
2 3 1
0 0 0
1 3 3
1 1 3
1 0 0
3 2 2
3 1 3
3 0 2
0 2 1
2 1 1
10 9
1 1 0
1 2 0
0 1 2
1 0 0
0 0 2
2 1 1
0 0 1
0 1 1
2 1 0
2 1 2
10 4
1 2 0
0 2 1
2 1 0
2 1 1
1 0 1
2 0 0
2 2 1
2 2 2
0 0 1
1 0 0
10 5
1 1 2
2 1 1
2 3 1
1 1 3
3 2 1
0 2 0
1 2 0
1 3 3
3 1 3
3 3 1
10 8
3 0 3
1 3 2
1 2 2
3 0 1
0 1 3
2 2 3
0 2 0
0 3 0
2 2 0
2 3 0
10 5
2 1 3
0 3 2
2 2 0
3 0 0
1 0 2
0 2 3
1 0 3
1 3 2
2 0 3
2 2 3
10 2
1 1 0
1 0 1
1 0 2
1 2 0
2 0 0
2 1 1
2 0 2
0 1 0
1 1 1
0 0 0
10 5
0 0 2
1 2 1
1 2 2
2 2 0
1 1 1
0 1 2
0 0 1
2 2 2
2 0 2
1 1 2
10 9
1 0 2
1 0 1
2 2 0
0 2 2
2 1 2
0 2 0
1 2 1
0 1 0
0 2 1
0 1 1
10 8
1 0 2
1 1 2
1 1 1
2 0 1
0 1 2
0 0 0
0 0 1
0 2 2
1 2 1
2 2 2
10 9
2 2 2
1 0 0
1 0 1
0 0 2
0 0 1
0 2 1
2 2 0
1 1 0
2 1 0
2 1 1
10 5
0 0 1
0 2 2
2 2 2
0 0 0
2 0 2
2 2 1
0 2 1
0 1 2
2 0 1
2 0 0
10 8
2 2 0
2 1 1
2 0 2
0 0 1
1 0 2
0 2 0
0 0 2
2 1 0
0 2 1
2 0 1
10 8
2 0 0
1 0 2
0 1 0
1 0 1
2 2 0
1 1 0
0 2 0
1 2 1
2 2 1
2 1 0
10 3
2 2 0
0 0 2
0 2 1
1 2 1
2 1 2
2 0 0
1 1 2
1 0 1
0 0 0
2 0 1
10 3
2 3 1
0 3 2
0 2 0
3 3 0
0 1 1
3 2 2
2 0 2
2 1 3
1 0 3
1 3 3
10 2
1 1 0
1 0 1
3 3 0
1 2 3
3 2 2
2 2 0
0 2 3
2 2 1
2 1 1
0 0 3
10 2
0 2 0
1 1 2
1 0 1
2 0 1
2 2 1
0 1 1
1 2 0
1 0 0
2 1 0
0 2 1
10 6
0 2 0
2 0 0
2 0 1
1 1 1
0 1 1
2 1 0
0 2 1
1 0 1
0 0 0
2 1 2
10 3
2 1 2
3 3 2
0 1 3
0 0 1
0 3 1
1 1 3
0 3 3
0 2 2
1 1 0
1 0 2
10 7
0 2 0
0 1 0
0 0 0
0 2 1
2 0 1
1 1 2
0 1 1
1 1 0
2 2 2
0 1 2
10 4
0 0 1
0 1 2
0 1 1
2 1 1
1 1 2
0 2 1
2 1 0
2 0 0
2 0 2
1 2 2
10 7
0 0 2
0 2 1
2 3 0
1 0 2
2 1 1
1 1 0
0 3 3
3 0 0
0 2 3
2 2 1
10 8
0 0 2
1 0 2
1 0 1
2 0 2
0 1 1
2 0 0
2 1 2
0 2 2
2 1 0
2 2 2
10 2
3 3 1
0 1 0
3 1 0
1 3 0
2 0 3
2 1 1
2 0 2
1 2 3
3 1 2
2 2 3
10 6
3 1 2
2 2 0
0 3 0
0 0 3
1 2 2
1 0 1
3 3 2
2 2 1
1 1 3
0 2 0
10 4
1 0 3
2 0 0
1 0 0
1 2 2
2 1 0
3 3 1
0 3 0
1 0 2
0 3 1
3 1 1
10 2
1 2 1
1 1 1
2 1 2
1 0 1
2 1 1
2 2 0
1 0 2
1 0 0
0 2 2
0 0 1
10 4
0 0 1
2 2 2
1 0 2
0 2 0
2 0 1
2 1 2
0 1 2
1 0 1
0 0 2
2 1 0
10 5
1 0 1
0 1 1
0 2 0
1 2 2
2 0 0
2 2 0
2 0 2
1 1 0
0 2 2
0 2 1
10 6
1 0 2
2 3 3
1 0 0
1 2 0
2 2 0
0 2 0
0 1 0
2 0 1
3 1 3
0 0 2
10 6
1 0 2
1 1 0
1 3 3
2 2 3
2 2 1
2 1 0
2 2 0
1 2 3
0 3 0
3 0 3
10 4
2 3 1
3 2 0
1 3 1
3 3 3
1 0 0
0 0 2
0 3 0
1 2 2
1 1 0
2 2 2
10 7
2 2 1
2 0 0
1 0 2
0 2 2
2 0 1
1 0 1
0 1 1
2 1 0
0 0 2
0 1 0
10 8
1 0 0
0 0 0
0 0 2
2 0 1
1 1 2
2 2 1
0 1 2
1 2 0
2 2 0
0 2 1
10 4
2 0 0
0 0 0
0 2 2
1 0 2
2 1 0
1 2 0
1 1 2
2 2 2
2 2 1
2 0 2
10 2
0 0 0
2 2 0
1 2 1
1 1 1
2 2 2
0 1 1
0 1 0
1 0 0
2 2 1
1 0 2
10 2
0 0 1
2 2 0
2 2 2
2 2 1
1 1 1
1 2 1
2 0 2
0 2 1
1 0 2
2 1 2
10 9
1 0 1
2 1 3
3 3 2
2 1 1
2 0 1
1 1 0
2 2 2
0 0 3
1 0 0
2 2 1
10 2
0 1 0
0 2 1
1 1 1
1 2 1
2 2 0
0 0 0
0 2 2
2 2 2
1 0 0
0 0 2
10 5
0 2 1
0 0 0
1 2 0
1 1 2
0 2 2
0 1 2
1 0 1
1 0 2
2 1 2
2 1 1
10 9
3 2 2
0 1 2
0 2 3
3 1 0
2 2 2
1 0 0
2 3 2
3 0 3
2 0 1
1 1 1
10 8
1 0 0
0 0 2
1 1 2
1 1 0
2 2 2
1 2 2
1 0 1
2 1 2
2 1 1
0 0 0
10 3
2 2 1
1 1 1
2 0 2
2 0 1
0 1 2
2 1 1
1 0 0
2 2 2
0 0 0
2 1 0
10 2
3 0 0
3 1 3
2 1 1
1 2 3
1 3 3
2 3 2
0 3 0
3 3 1
0 2 0
0 0 2
10 6
3 0 0
2 0 0
2 0 3
1 3 1
0 3 0
1 1 1
3 0 2
1 3 2
1 1 2
0 0 3
10 7
1 0 1
0 3 0
1 1 1
0 3 1
1 3 1
2 0 2
0 2 3
3 3 0
3 0 0
3 3 3
10 4
0 0 0
0 0 2
2 0 0
0 1 3
2 3 0
2 2 2
0 3 0
3 1 1
3 1 0
3 3 2
10 7
2 2 0
0 1 1
1 1 1
1 0 1
2 0 2
1 1 0
0 1 0
0 2 2
2 1 0
0 2 0
10 5
1 2 3
0 2 3
1 2 1
0 0 3
2 3 0
2 1 0
3 2 0
1 2 2
0 1 0
1 1 0
10 6
0 1 0
1 2 0
0 2 1
1 0 2
2 2 1
1 1 1
1 2 2
0 0 0
0 1 1
0 2 2
10 6
0 2 2
0 1 0
2 1 2
1 0 0
1 1 0
0 0 0
1 0 1
0 1 1
2 2 2
2 1 1
10 4
2 1 2
1 1 0
2 1 0
2 0 0
0 0 0
1 0 2
2 2 2
2 1 1
1 2 0
2 2 0
10 3
2 0 0
1 3 1
1 1 3
2 2 0
2 3 3
2 1 0
0 2 3
0 3 0
3 0 0
1 0 0
10 8
1 2 0
0 1 1
2 2 3
1 3 3
2 1 0
3 3 3
1 0 3
2 2 2
3 0 0
2 1 1
10 3
1 2 2
2 2 0
2 0 0
2 1 0
0 0 1
0 2 2
1 2 1
1 1 0
2 2 1
2 2 2
10 9
2 1 1
3 3 0
2 0 2
1 2 2
3 1 1
0 1 3
0 2 1
3 2 3
3 1 3
3 1 0
10 2
3 0 2
3 3 3
1 2 3
2 1 3
2 2 3
2 2 2
0 1 1
3 3 0
2 0 0
0 1 3
10 9
1 2 1
1 1 1
3 1 0
3 1 2
0 3 2
2 1 2
0 1 2
2 2 1
2 2 2
2 1 3
10 2
3 0 2
2 2 2
0 1 3
0 3 1
3 0 1
3 2 0
0 0 2
1 2 1
1 1 1
0 2 1
10 7
0 0 0
1 1 2
2 0 2
2 2 2
1 0 2
1 2 2
0 1 2
1 2 0
2 1 1
0 2 0
10 4
1 3 3
0 1 0
0 3 1
1 2 3
3 3 0
3 2 0
1 2 1
2 2 0
1 0 2
0 0 0
10 5
2 0 1
1 1 2
2 3 0
2 1 3
3 2 2
0 3 0
0 0 2
3 2 3
0 0 1
2 2 3
10 2
1 1 0
3 0 2
0 2 0
3 1 2
0 2 3
3 3 1
0 1 0
3 2 1
3 1 0
3 0 0
10 7
1 1 0
1 0 2
2 0 0
2 1 0
2 2 2
0 2 0
0 1 2
2 2 1
0 0 0
0 2 2
10 7
0 2 0
2 0 2
1 1 1
2 1 2
0 1 2
1 0 2
0 2 1
1 2 1
1 0 0
2 2 1
10 4
1 0 0
1 0 2
2 0 0
2 1 1
1 1 2
2 2 2
0 0 2
2 2 1
1 2 0
2 0 1
10 7
1 3 2
0 0 0
3 1 1
0 1 3
0 2 0
2 2 3
2 2 0
0 1 2
3 0 0
3 0 1
10 5
2 2 2
0 2 2
1 0 1
0 0 1
1 0 0
0 0 2
1 2 1
0 1 2
2 1 1
1 2 0
10 7
0 0 0
3 2 3
2 0 3
2 2 1
2 1 3
2 3 1
0 3 0
3 3 3
3 3 0
3 0 3
10 5
2 2 0
0 2 2
1 1 0
0 3 2
1 3 2
3 2 1
1 0 1
3 0 2
1 2 3
2 2 1
10 2
3 3 1
0 3 3
3 2 0
0 0 1
3 1 1
2 0 0
2 1 1
0 2 2
3 3 0
2 0 2
10 7
3 0 1
1 1 1
2 0 3
1 2 2
2 1 1
2 2 3
2 0 1
0 1 1
0 3 1
3 2 1
10 2
0 2 1
1 2 1
0 0 2
0 0 1
1 1 2
0 1 0
2 2 2
2 1 2
2 2 0
2 2 1
10 4
0 0 0
1 0 0
2 0 0
2 1 1
0 1 2
1 1 2
1 0 1
2 2 2
0 1 1
2 2 0
10 5
3 2 0
0 2 1
0 3 0
3 1 0
1 3 0
2 3 3
3 2 2
0 2 2
3 1 3
3 2 3
10 4
1 2 0
0 1 1
2 0 1
2 2 0
2 0 0
2 1 1
1 0 1
2 2 2
2 2 1
0 2 0
10 7
0 2 0
0 0 2
1 1 0
1 1 1
0 2 1
2 1 0
0 0 1
0 1 2
2 2 2
1 0 2
10 9
0 2 1
1 2 2
2 1 2
0 1 0
1 2 1
2 0 0
0 2 0
2 2 1
2 2 0
0 1 1
10 7
1 0 2
0 2 0
1 2 2
1 1 2
0 1 1
1 2 1
2 0 2
0 0 1
2 0 0
2 1 1
10 5
2 1 2
2 0 0
2 1 1
1 2 1
2 0 1
2 2 0
1 1 2
1 1 0
0 0 2
0 1 2
10 6
2 3 0
1 3 2
3 2 0
3 3 1
0 1 1
2 2 1
3 1 2
2 1 2
0 1 2
3 0 0
10 5
1 1 1
3 1 1
3 0 3
0 3 2
1 2 0
0 0 1
3 2 1
3 0 2
3 3 2
1 1 3
10 8
2 1 2
2 0 0
1 0 1
2 1 0
2 2 2
0 1 1
1 1 1
2 2 0
1 1 0
0 1 2
10 3
0 1 2
2 1 0
1 1 1
1 0 0
1 0 2
1 2 2
0 2 0
2 2 2
2 2 0
1 1 0
10 9
1 2 1
1 0 3
0 0 2
2 0 1
0 1 3
1 3 2
2 0 3
3 2 3
2 2 0
2 1 0
10 4
0 2 0
1 0 1
2 1 1
2 2 1
2 2 0
1 0 2
0 2 2
0 2 1
0 1 1
1 1 0
10 5
2 2 2
2 1 0
1 2 1
2 1 1
0 1 2
0 2 0
0 0 0
1 0 2
2 1 2
0 1 1
10 3
1 1 1
0 0 0
0 0 2
0 2 0
2 1 0
0 1 0
1 0 1
1 0 2
2 2 2
1 2 0
10 8
2 2 0
0 2 2
0 0 1
0 1 2
0 2 0
0 1 1
1 0 2
1 1 1
2 2 1
1 0 0
10 2
0 0 1
0 0 2
0 0 0
2 1 1
1 1 2
0 1 1
2 0 1
1 1 0
2 2 2
1 0 1
10 6
1 0 0
1 2 1
0 0 2
1 1 1
2 1 1
0 1 0
0 1 1
1 2 0
1 1 2
2 1 2
10 3
3 1 0
2 1 2
1 0 1
2 0 3
2 1 0
1 1 1
2 3 3
1 3 2
0 2 2
1 2 2
10 5
0 0 2
3 0 0
2 0 2
0 2 2
0 1 1
2 3 0
3 1 1
1 0 3
2 3 3
3 0 2
10 9
3 1 0
2 2 2
2 0 3
2 3 2
2 0 0
1 0 3
2 3 1
2 1 2
0 3 1
0 1 1
10 7
0 2 1
0 1 3
1 3 3
1 1 2
3 0 1
1 0 3
1 3 2
0 0 1
3 3 1
1 2 2
10 9
2 2 0
0 2 2
0 0 1
0 1 0
2 1 1
1 0 1
1 2 2
2 1 2
2 1 0
1 1 1
10 2
2 3 1
1 1 3
1 3 1
2 2 0
1 1 0
3 0 1
2 1 2
3 3 0
1 2 1
0 2 0
10 8
0 1 0
2 0 1
0 2 2
1 2 0
0 0 1
1 0 2
2 1 1
1 1 2
2 1 0
0 2 1
10 2
2 2 0
2 0 0
1 0 2
0 2 0
2 0 2
0 2 2
0 1 1
2 2 1
0 0 0
0 2 1
10 2
1 0 0
1 2 1
2 0 2
2 2 0
0 2 0
2 0 1
2 2 2
0 1 1
0 1 0
2 1 0
10 2
0 2 0
0 2 2
0 2 1
0 0 1
2 2 2
1 1 2
2 1 0
1 2 0
0 0 0
1 2 2
10 8
2 2 3
2 3 2
3 2 2
1 3 0
2 3 3
1 0 0
3 3 2
2 3 0
1 0 3
1 0 2
10 7
0 2 0
0 1 2
1 1 2
2 0 1
2 2 2
1 1 0
1 1 1
2 0 2
2 1 0
0 0 2
10 9
1 2 1
2 0 0
1 0 2
2 0 1
2 1 2
1 2 2
0 1 2
0 0 2
0 0 0
1 0 0
10 3
1 2 2
0 0 2
0 3 2
3 1 3
3 2 3
0 0 0
3 0 3
0 1 2
2 2 2
1 3 2
10 9
0 1 1
2 1 0
1 2 2
0 2 2
0 0 0
2 0 1
0 2 0
1 2 1
1 0 1
0 0 2
10 2
2 1 0
2 2 3
0 0 1
1 1 0
1 3 2
1 2 0
2 0 1
0 2 3
0 2 1
2 3 1
10 5
2 1 0
0 1 0
0 2 0
2 0 2
2 2 1
2 1 1
0 0 0
0 0 1
0 2 1
2 0 1
10 8
1 1 3
2 0 2
3 0 1
0 1 2
3 3 2
0 0 1
1 3 1
0 0 0
0 2 1
2 3 0
10 6
2 2 0
2 0 1
2 0 2
3 3 3
2 2 1
0 3 2
3 0 0
0 1 3
3 1 0
2 3 2
10 5
1 0 0
1 1 1
1 0 1
1 0 2
2 1 2
1 2 1
0 2 2
1 1 0
2 0 2
2 2 1
10 7
0 1 1
1 1 1
0 1 0
2 2 2
1 1 0
0 1 2
2 1 2
1 0 1
1 0 0
2 0 0
10 4
0 2 1
2 0 1
2 2 2
0 0 2
1 0 1
0 0 0
1 1 1
1 2 2
2 0 2
0 0 1
10 8
0 2 3
3 3 0
1 1 1
0 1 1
2 2 0
0 2 0
1 2 3
0 0 0
3 3 1
0 1 3
10 7
1 1 1
0 1 1
0 2 1
2 0 0
1 1 2
1 2 1
1 2 0
1 0 1
2 1 2
2 0 2
10 3
3 2 1
0 2 1
0 3 3
3 3 2
3 3 0
0 0 3
1 3 0
0 3 1
0 1 0
3 0 0
10 9
2 3 3
0 3 0
3 0 1
0 3 1
3 2 3
3 1 3
2 2 3
0 2 0
3 3 3
3 1 0
10 8
2 0 3
0 1 2
2 2 1
0 2 2
2 1 0
1 1 1
2 1 1
3 0 0
0 0 1
0 2 1
10 4
1 2 1
2 0 1
2 2 3
0 2 2
3 0 2
0 0 0
3 0 1
2 3 3
2 0 0
2 1 3
10 9
3 0 1
2 0 1
1 0 1
3 3 0
2 1 2
0 3 2
3 2 0
2 2 2
1 2 1
2 1 1
10 2
1 0 1
2 0 2
1 2 2
1 0 2
2 1 1
0 2 0
2 2 0
1 2 1
0 1 1
0 1 0
10 7
0 0 1
0 2 1
1 1 0
2 1 0
0 1 1
2 0 0
2 0 1
1 1 2
0 1 2
1 0 0
10 7
1 1 1
1 0 0
1 2 0
2 1 1
0 2 2
0 0 2
0 1 0
2 1 2
1 1 2
1 2 2
10 4
1 0 0
0 0 1
0 2 0
0 1 2
1 0 2
2 2 1
2 2 0
1 0 1
2 1 0
1 1 2
10 6
0 3 1
1 1 0
0 0 3
0 1 0
3 2 0
3 1 0
0 0 1
2 3 3
0 3 0
0 3 3
10 7
0 0 2
2 2 3
1 0 0
0 1 3
0 3 1
0 3 3
3 3 0
1 0 2
2 1 2
2 0 2
10 4
1 0 0
2 1 1
0 2 2
3 0 2
0 3 1
3 2 3
2 3 2
3 3 1
2 2 0
1 3 3
10 6
1 0 3
3 3 2
3 0 3
0 1 0
0 2 2
1 2 1
0 1 2
1 3 0
0 1 3
2 2 0
10 4
2 3 2
1 2 2
2 0 0
1 1 2
1 0 3
1 3 3
1 2 3
1 2 0
2 0 1
3 0 2
10 5
3 0 1
0 0 1
0 1 0
1 0 3
2 0 3
3 0 2
0 3 2
2 3 1
3 2 3
2 1 0
10 8
2 3 3
1 2 2
2 3 1
1 3 3
2 1 3
0 0 0
0 2 3
1 1 3
2 1 0
3 2 3
10 4
1 2 1
2 2 0
2 0 1
1 1 2
2 1 0
1 0 1
1 2 0
1 2 2
0 0 0
0 1 1
10 3
2 2 1
0 1 0
3 0 3
2 2 0
0 0 2
1 0 3
1 3 0
1 2 2
1 3 1
2 0 3
10 9
1 2 2
2 1 2
0 2 0
0 1 0
1 2 1
0 0 2
2 1 0
2 0 2
2 2 0
1 0 1
10 9
2 3 0
1 1 1
0 2 3
3 2 2
1 2 3
2 2 0
2 2 2
1 0 3
3 0 3
1 0 2
10 4
1 2 1
0 2 1
2 1 2
0 0 1
1 0 2
1 1 2
1 1 0
1 2 2
0 1 2
1 0 0
10 7
1 0 1
1 3 1
0 0 2
0 3 2
3 1 0
3 3 3
0 3 0
0 2 1
3 1 3
0 0 0
10 6
1 2 1
3 3 2
2 3 0
1 1 0
1 1 1
2 1 2
0 3 0
2 3 1
1 0 2
1 1 2
10 9
0 2 1
1 2 2
2 1 0
0 0 1
2 1 1
0 0 2
1 1 0
1 2 0
2 2 2
0 1 0
10 4
0 1 1
1 0 0
1 1 2
0 1 2
0 1 0
2 0 2
1 1 0
0 0 1
2 2 2
1 0 1
10 2
1 0 0
1 2 1
1 1 1
2 0 0
2 1 0
2 2 0
1 1 2
0 0 1
1 2 0
1 0 2
10 5
2 2 0
1 0 1
0 1 0
0 2 1
1 1 0
2 1 1
0 0 0
0 0 1
1 2 2
2 2 1
10 3
1 2 1
2 2 0
2 0 0
0 0 0
2 1 2
1 2 0
2 1 1
0 2 0
1 1 0
0 1 0
10 5
2 1 2
1 1 2
0 2 1
1 0 0
0 2 2
0 1 0
1 2 0
2 0 0
0 0 0
0 1 1
10 5
1 0 2
2 0 0
1 2 2
1 0 0
2 2 0
1 2 0
0 2 0
2 2 2
2 1 1
0 1 2
10 7
1 2 0
1 1 2
1 0 0
2 1 2
1 0 1
0 1 1
2 2 1
2 2 2
1 1 0
2 0 1
10 4
0 2 1
0 1 0
2 2 0
0 0 0
1 1 1
2 1 2
1 2 1
0 1 1
2 2 2
1 2 0
10 5
0 2 2
0 0 0
0 1 0
2 0 0
2 0 1
1 1 1
0 0 2
1 0 2
2 1 0
2 2 2
10 8
1 2 2
2 3 2
2 2 1
3 2 1
3 1 2
2 3 1
1 1 1
2 0 0
2 0 1
2 2 0
10 9
0 0 1
0 1 2
1 1 0
1 0 1
1 0 2
1 2 1
2 0 2
2 2 1
2 2 2
2 2 0
10 3
2 1 1
2 3 0
3 1 1
0 3 1
2 0 3
0 2 3
3 2 1
3 0 0
1 3 3
3 2 2
10 2
0 2 1
1 1 1
0 2 2
1 0 0
2 2 0
2 1 2
2 1 0
2 1 1
2 0 0
2 0 1
10 5
0 1 2
1 0 2
0 0 0
2 1 0
1 2 2
2 0 0
0 2 0
1 1 2
0 0 1
2 2 1
10 8
1 1 1
2 1 0
0 1 2
1 0 0
2 1 1
0 2 0
2 2 2
2 1 2
2 0 2
0 0 1
10 9
0 3 3
1 1 0
1 0 0
0 0 0
1 2 1
0 0 1
1 3 0
2 0 0
2 2 3
0 3 1
10 2
0 2 0
1 1 1
2 2 0
1 2 2
1 0 2
2 0 1
0 1 2
2 0 2
2 1 1
1 1 2
10 9
2 2 2
1 0 2
0 2 2
2 2 0
2 2 1
0 1 2
1 2 1
0 0 2
2 0 0
1 2 2
10 8
2 2 2
2 1 2
1 2 1
0 0 2
2 2 1
0 1 0
1 1 1
1 0 1
1 1 0
0 1 2
10 2
0 0 2
0 1 0
0 0 0
2 2 0
2 0 2
1 0 1
1 2 2
0 1 1
0 2 2
1 1 0
10 4
3 1 3
3 3 2
3 3 1
3 0 2
2 2 1
2 0 1
1 3 2
3 2 1
1 2 1
2 3 2
10 2
2 3 3
3 2 1
2 0 1
0 0 1
3 0 0
0 2 0
2 2 2
2 0 0
1 2 3
0 2 3
10 6
0 0 0
1 0 1
0 0 1
1 1 2
0 1 2
1 0 2
2 1 0
2 0 0
0 1 1
2 1 2
10 4
3 2 3
0 0 2
3 2 2
1 3 3
3 0 1
3 3 2
3 1 1
1 3 1
3 3 3
0 0 0
10 4
1 0 2
2 0 0
0 2 0
1 2 0
2 2 1
2 1 2
0 2 1
0 0 2
1 2 2
2 0 1
10 8
0 3 2
1 3 3
2 2 1
3 2 0
3 3 0
1 1 1
3 3 2
1 2 0
0 2 0
2 3 3
10 7
1 1 0
1 3 3
1 0 1
1 0 3
0 3 3
1 1 1
1 0 2
0 0 2
0 1 1
3 1 2
10 7
1 1 0
2 1 0
2 3 3
2 0 1
0 1 3
1 3 1
3 2 1
3 3 1
0 1 1
3 2 3
10 3
0 2 1
0 1 1
1 0 2
1 2 1
2 2 1
2 1 1
0 1 2
2 1 2
2 0 0
1 0 0
10 2
1 2 1
2 0 1
2 1 2
3 0 3
3 0 2
3 1 2
0 3 3
1 1 0
3 3 1
2 0 0
10 3
2 2 1
1 0 1
1 0 2
0 1 0
0 0 0
0 2 1
2 1 2
1 1 2
0 1 1
1 1 1
10 8
3 0 0
3 3 2
1 2 1
3 2 1
1 3 0
3 2 0
1 2 2
2 0 2
3 0 1
0 3 0
10 2
0 0 0
0 3 1
0 0 3
1 1 3
2 0 2
1 1 2
0 2 2
2 3 0
1 3 0
1 3 1
10 7
3 3 0
0 1 0
0 3 3
2 1 1
1 2 1
2 2 2
1 3 0
2 2 3
0 1 2
2 1 3
10 9
1 2 0
1 2 1
1 1 0
2 2 1
2 0 1
1 1 1
0 2 2
0 0 1
1 1 2
0 2 1
10 9
0 3 0
0 0 2
3 3 2
0 1 2
2 1 2
1 1 0
2 3 1
3 1 2
3 3 3
1 2 3
10 9
2 1 3
3 3 1
2 3 2
0 2 3
2 2 1
0 3 3
2 0 3
3 3 2
2 0 2
1 3 3
10 6
1 0 1
0 1 1
0 3 2
2 3 1
1 3 3
0 2 3
1 1 0
1 0 2
1 3 2
0 0 3
10 6
0 2 2
1 2 2
2 1 0
1 0 2
2 1 1
0 0 1
1 0 1
1 2 0
2 2 0
2 1 2
10 6
3 3 1
3 2 1
3 0 3
0 1 1
2 0 1
3 1 3
0 0 2
3 3 0
1 1 2
0 0 1
10 9
1 2 2
0 2 1
3 2 3
0 2 3
2 2 2
0 1 2
3 1 1
2 2 3
1 3 1
0 0 0
10 3
0 1 1
2 1 1
2 0 0
1 2 1
1 2 0
2 1 0
2 2 1
2 2 0
2 2 2
0 2 0
10 6
1 0 1
2 2 1
3 0 2
1 3 3
0 2 3
3 2 1
3 3 2
0 0 2
2 2 3
0 3 0
10 3
0 0 2
0 0 3
0 3 2
0 3 3
2 2 1
3 0 2
0 1 3
3 3 3
1 1 0
3 1 0
10 9
1 2 0
0 0 1
2 2 2
1 2 2
1 0 0
1 1 2
2 2 1
2 2 0
1 1 1
0 0 0
10 6
3 0 3
1 1 0
0 0 1
1 3 1
0 2 3
2 0 3
2 2 0
3 1 0
0 3 2
1 2 1
10 5
2 0 3
2 1 3
2 1 0
0 1 1
1 3 3
1 3 2
2 3 1
3 2 3
1 0 1
0 0 3
10 5
1 1 2
2 2 0
0 1 0
1 2 2
0 0 2
2 0 0
1 1 1
2 1 2
0 2 2
0 0 1
10 3
1 1 3
3 2 0
2 1 1
1 2 0
2 0 0
1 1 0
0 3 3
0 3 0
3 2 3
2 3 3
10 7
2 0 1
1 2 0
0 2 0
0 1 1
0 0 1
2 2 2
1 0 0
0 1 0
1 1 2
2 1 2
10 9
2 0 1
2 1 0
0 1 2
2 2 2
1 2 0
2 1 2
0 0 2
2 0 0
1 1 1
1 0 1
10 6
1 1 1
2 1 2
3 0 3
0 2 3
2 3 2
1 0 1
3 3 0
0 0 1
2 2 0
2 0 1
10 9
1 0 0
0 3 3
2 0 3
2 2 0
0 0 3
3 3 3
1 2 2
0 0 0
1 0 2
1 1 1
10 8
1 2 2
1 1 0
2 1 2
0 0 0
0 0 2
1 0 1
2 2 2
2 1 0
2 2 0
0 2 0
10 3
0 1 3
0 1 1
1 0 2
1 3 1
0 0 3
3 1 3
0 0 1
0 1 0
3 0 3
2 2 1
10 6
1 2 1
0 0 0
0 1 2
0 0 1
0 2 3
1 0 3
0 3 2
3 2 0
2 2 2
2 1 3
10 2
2 2 0
1 0 2
0 1 0
2 2 2
0 1 2
0 1 1
1 1 1
2 0 0
1 0 0
2 2 1
10 4
2 2 2
1 0 1
2 1 1
1 2 1
2 2 1
1 1 0
1 1 1
0 0 2
0 1 1
2 0 1
10 5
0 0 1
2 2 2
0 1 0
0 2 0
2 0 1
0 2 1
0 1 1
1 2 1
1 1 0
0 0 0
10 4
3 2 2
2 0 3
0 2 1
0 3 3
3 1 2
3 0 1
0 0 1
0 1 1
2 2 1
3 1 0
10 5
1 1 2
2 0 1
2 1 0
1 1 1
2 2 2
0 1 2
3 1 1
2 0 0
1 0 0
3 1 3
10 7
2 1 1
0 1 0
1 1 2
0 1 2
1 0 0
1 0 1
0 0 1
2 0 2
0 2 2
2 2 1
10 2
3 0 1
0 1 0
3 1 2
1 1 1
0 0 2
1 0 2
2 0 1
0 3 0
3 1 3
3 0 3
10 8
2 1 0
2 0 0
2 1 1
0 0 2
0 1 2
1 2 0
1 2 1
0 1 0
0 2 0
1 1 0
10 4
0 1 3
2 3 2
2 0 3
2 1 3
0 3 1
1 1 0
3 3 0
1 1 3
0 1 0
2 2 0
10 2
3 0 0
2 3 1
3 3 1
0 0 2
3 2 2
1 1 1
3 1 3
2 1 0
0 0 1
1 0 1
10 4
2 0 0
1 1 0
1 2 0
2 1 1
0 2 0
0 1 2
2 1 2
1 1 2
0 2 2
0 0 0
10 8
2 1 0
1 1 1
2 2 0
0 0 2
1 1 3
0 0 3
0 2 2
3 1 0
2 0 3
1 3 3
10 4
1 0 0
1 1 1
0 0 2
1 2 1
2 1 1
2 0 1
0 0 0
1 2 0
2 2 2
0 1 2
10 7
0 2 3
2 3 0
0 2 0
0 1 2
2 1 1
3 2 0
0 1 1
0 3 0
0 1 3
2 2 0
10 2
2 0 1
1 0 0
2 2 0
1 2 1
1 0 1
0 0 1
2 1 0
2 2 2
1 0 2
0 2 2
10 4
3 2 1
1 0 2
0 1 0
2 3 0
1 3 2
2 3 1
1 2 0
3 2 0
0 0 3
3 2 3
10 8
0 2 3
3 2 2
3 0 1
1 3 1
3 2 0
0 2 0
3 1 0
0 3 1
3 2 1
3 0 3
10 5
2 2 1
0 0 2
0 2 1
2 0 0
0 0 0
1 2 2
2 1 2
1 0 0
0 2 2
2 0 2
10 4
2 1 1
1 0 0
1 2 0
0 1 2
1 2 1
2 1 2
1 1 1
1 1 2
2 2 2
0 2 1
10 5
1 1 1
2 1 1
1 0 1
0 0 2
0 1 2
1 2 2
2 2 2
0 2 1
1 1 2
0 0 0
10 9
0 0 3
0 3 0
0 2 2
1 0 3
2 0 1
2 2 1
2 2 2
3 1 2
1 2 3
1 2 0
10 9
1 1 3
0 1 0
0 1 2
2 1 0
2 3 1
0 1 3
3 3 3
2 1 1
0 0 3
0 0 2
10 9
2 2 1
0 0 1
0 1 2
1 0 1
0 1 1
1 2 2
1 2 1
2 1 1
2 2 2
1 0 2
10 4
1 0 0
1 2 0
0 0 0
1 1 1
2 0 2
1 2 1
2 2 0
1 0 1
0 2 0
2 0 1
10 2
2 2 1
0 0 0
0 1 1
2 2 0
1 0 1
0 2 0
2 0 2
2 1 2
0 2 2
0 0 2
10 6
3 1 2
2 2 3
0 2 0
2 2 2
0 3 2
3 1 0
0 2 2
1 1 3
0 1 1
1 0 3
10 7
0 1 3
2 2 2
1 3 3
2 1 3
2 2 1
2 3 3
2 1 1
0 2 1
1 3 0
2 3 1
10 2
2 0 0
1 2 0
2 0 1
0 3 1
3 0 3
3 3 2
0 0 0
2 1 3
0 1 3
0 3 3
10 5
1 2 0
2 2 0
1 0 2
2 3 1
2 1 1
2 3 0
2 1 3
1 2 1
0 3 1
1 1 2
10 3
1 1 0
1 0 0
2 2 1
1 2 2
0 2 2
0 0 2
0 2 1
2 2 2
2 1 2
1 0 1
10 8
2 0 2
2 1 1
2 2 0
0 0 1
1 1 1
1 1 0
2 0 0
0 2 0
0 0 0
0 0 2
10 8
3 1 0
2 0 0
1 3 1
2 2 1
3 3 1
2 2 0
2 2 2
0 0 1
3 0 1
0 1 0
10 5
2 3 3
0 2 2
1 3 2
1 0 2
0 1 1
2 2 3
0 0 2
1 1 1
0 3 1
0 0 1
10 7
0 1 1
2 1 1
1 2 1
1 0 1
2 0 2
2 1 2
0 1 0
0 2 1
1 1 0
2 0 0
10 4
2 3 3
2 1 1
2 3 0
0 0 2
2 0 0
0 2 3
1 1 1
2 1 0
0 1 0
1 2 0
10 3
1 3 1
1 1 0
2 0 2
1 0 2
2 2 0
2 0 0
3 1 0
3 1 3
3 3 3
0 0 3
10 5
2 0 1
2 2 1
2 1 1
1 2 1
1 0 1
0 0 2
0 1 0
2 2 2
0 2 1
1 2 0
10 2
1 1 2
2 0 0
2 1 0
0 0 1
1 0 1
1 0 0
1 1 0
2 2 0
0 1 2
2 0 2
10 6
0 3 0
1 0 2
2 0 0
3 3 2
1 0 1
1 3 1
1 0 0
2 2 3
1 2 3
0 2 2
10 8
3 2 1
2 3 1
2 3 2
3 3 1
3 2 0
1 2 0
3 0 2
1 3 3
0 3 0
1 2 2
10 2
2 0 2
3 1 0
3 2 2
1 1 1
1 0 1
0 1 0
0 0 1
2 2 3
1 2 3
1 3 3
10 2
1 0 0
3 0 1
2 2 1
2 3 3
3 0 3
0 1 2
0 2 3
1 1 0
1 1 2
1 0 2
10 3
3 3 2
0 3 0
3 0 2
1 1 1
3 1 3
3 3 3
1 1 0
2 1 1
1 0 1
0 2 1
10 7
0 1 1
1 0 1
2 0 1
1 2 2
2 1 0
1 0 2
1 2 0
0 0 2
2 1 2
0 2 0
10 4
0 2 2
2 2 0
2 1 1
2 1 0
0 1 0
2 0 2
1 2 1
1 1 1
0 0 1
1 0 0
10 2
2 0 0
0 2 0
2 1 0
1 1 2
1 1 1
1 2 0
1 1 0
2 0 1
1 2 1
2 0 2
10 6
0 1 2
1 2 0
2 0 1
1 1 0
2 0 2
0 1 0
1 0 0
2 1 0
1 1 2
1 2 2
10 4
0 0 0
3 3 1
1 3 2
3 0 0
0 2 0
2 1 3
2 3 3
0 1 0
1 0 1
2 0 3
10 2
1 1 1
1 0 2
2 0 1
0 0 1
1 2 1
2 0 0
2 2 0
2 2 2
1 1 0
0 0 2
10 7
0 1 1
2 1 1
1 1 1
2 0 0
1 2 0
1 0 2
1 1 2
0 2 1
0 2 0
1 0 0
10 8
2 1 2
1 3 2
1 0 0
0 0 0
3 1 3
1 3 0
1 1 2
2 1 3
2 3 2
1 2 0
10 4
1 3 0
3 2 3
2 0 0
2 3 3
2 2 3
2 1 2
2 3 2
2 0 3
0 3 3
0 1 3
10 2
1 0 2
1 1 1
2 2 2
1 2 0
3 1 1
1 3 2
3 3 3
2 3 0
0 1 1
3 2 2
10 5
1 2 2
1 1 0
1 0 2
0 0 0
0 2 0
2 1 1
1 0 1
0 1 0
0 1 2
2 0 0
10 8
2 3 1
2 1 2
1 1 1
1 2 2
3 2 2
0 3 3
1 3 3
1 1 3
3 0 1
0 0 0
10 4
0 3 1
0 0 1
0 1 0
3 0 1
1 2 2
2 3 3
2 2 1
2 2 0
2 0 3
2 1 0
10 9
1 0 3
1 1 2
3 2 2
0 3 0
1 1 3
0 2 1
1 1 1
1 0 2
0 1 2
0 3 2
10 7
1 0 1
0 2 2
2 1 0
0 2 3
3 0 2
3 0 3
2 1 3
0 0 3
2 0 2
0 1 0
10 8
2 0 1
3 0 2
2 2 0
1 2 0
0 3 0
0 3 2
1 2 2
0 1 2
1 1 0
1 3 2
10 5
2 0 0
1 0 0
1 2 1
1 0 2
1 1 2
0 0 1
0 2 1
2 2 0
2 1 0
2 2 2
10 6
2 0 0
0 1 2
1 0 1
1 0 2
0 2 0
2 2 0
1 1 2
2 1 1
2 1 2
2 0 1
10 7
2 0 1
0 2 0
2 0 0
1 0 2
0 1 1
1 2 2
1 2 0
0 2 2
2 2 0
0 0 2
10 3
1 1 2
2 2 0
1 1 0
2 1 0
1 2 2
2 0 0
0 2 0
2 1 1
1 2 0
1 1 1
10 7
0 2 2
1 1 0
0 1 2
2 1 0
2 1 1
0 0 0
2 0 2
2 0 1
1 0 0
1 0 1
10 2
1 1 0
1 1 3
0 3 0
1 0 0
1 2 0
2 2 1
2 3 0
0 2 1
2 3 3
0 0 0
10 4
2 3 0
0 0 1
3 3 0
1 1 3
0 2 3
1 2 1
3 2 0
1 1 1
3 0 0
2 0 2
10 7
1 0 2
0 0 2
2 1 0
0 2 0
1 1 1
1 2 1
2 0 0
1 1 0
2 2 2
0 0 1
10 2
1 1 1
1 2 1
2 3 1
2 3 3
2 0 0
3 0 1
0 2 1
3 3 3
0 1 1
2 1 0
10 3
2 2 1
1 2 1
1 1 1
1 2 0
2 0 1
2 0 2
1 1 2
0 1 0
1 0 2
2 1 2
10 6
2 2 1
0 1 0
2 0 0
1 1 2
2 2 2
0 0 0
0 0 1
1 1 1
0 0 2
1 0 0
10 5
1 1 2
2 0 1
0 2 1
2 1 0
1 1 0
1 2 2
2 0 0
2 1 2
1 0 0
2 2 1
10 3
1 2 1
0 2 0
2 2 0
2 1 0
0 2 1
0 2 2
2 0 0
2 2 2
1 2 2
1 2 0
10 9
1 1 0
1 1 2
2 0 2
2 3 0
2 1 0
1 1 3
3 0 1
3 2 2
3 2 1
3 2 3
10 5
0 1 0
2 1 1
1 2 0
1 1 1
2 0 0
0 1 2
0 2 1
0 2 0
2 0 2
2 1 2
10 3
0 1 2
2 2 2
2 1 0
2 0 1
0 0 2
1 0 1
1 1 2
2 1 2
0 0 0
1 1 1
10 3
2 0 0
0 1 0
0 2 2
2 0 2
1 0 2
0 0 1
1 1 2
1 0 1
2 2 1
2 2 0
10 5
2 1 2
0 3 3
2 1 0
0 1 0
3 0 3
2 0 2
3 0 0
0 0 1
2 3 3
2 2 0
10 7
2 2 0
1 0 3
2 1 1
1 2 1
3 1 0
3 2 2
2 1 3
1 1 3
0 2 2
1 1 2
10 7
2 0 3
0 2 2
1 2 3
0 1 3
3 1 2
0 3 3
3 3 1
2 0 2
2 2 2
2 1 3
10 2
2 3 2
2 0 2
0 0 3
3 1 2
0 2 3
0 1 0
3 2 3
2 2 3
1 0 2
2 0 1
10 9
0 0 2
0 0 1
2 0 1
0 1 2
1 1 0
1 2 0
2 0 0
1 0 2
0 1 1
0 1 0
10 3
0 3 1
0 1 0
3 2 3
3 2 0
3 1 1
3 0 0
0 1 3
1 3 2
3 3 3
0 2 3
10 8
2 1 3
1 2 0
3 1 1
3 3 2
1 0 3
1 1 0
0 3 1
1 1 2
1 2 3
0 0 2
10 5
1 1 1
0 1 0
1 0 2
1 2 2
2 2 1
1 0 0
0 0 2
1 2 1
1 1 0
2 0 2
10 7
0 0 0
1 2 0
0 0 1
1 0 1
1 0 0
2 0 2
2 1 1
1 1 1
2 2 1
2 1 2
10 5
0 2 1
2 2 2
0 0 1
1 1 2
1 2 2
0 1 1
1 0 2
2 2 1
2 1 1
0 1 2
10 5
0 0 0
2 1 0
0 2 1
2 2 2
2 2 0
0 1 2
1 1 1
2 1 1
1 0 2
1 2 0
10 9
2 2 2
0 1 2
2 0 0
2 1 1
0 0 0
0 0 2
2 1 2
1 2 1
1 0 0
2 0 1
10 6
0 1 1
0 0 1
2 0 2
2 0 1
1 2 2
1 1 2
2 1 0
2 0 0
2 1 2
2 1 1
10 3
3 0 2
2 0 1
1 2 0
3 3 0
1 2 1
3 3 1
0 3 1
3 1 2
1 0 0
3 0 0
10 9
0 1 2
2 1 1
0 2 2
2 2 1
2 1 0
1 1 0
0 1 0
0 1 1
0 2 1
0 0 2
10 4
3 1 2
3 0 3
1 3 0
2 2 1
0 2 0
0 0 1
0 3 1
1 0 2
3 2 1
1 1 0
10 4
0 0 2
1 0 1
3 1 0
0 3 0
1 3 2
2 1 3
3 0 2
1 3 1
2 1 1
3 1 1
10 3
0 1 0
0 0 1
1 1 0
1 1 2
2 2 1
2 0 1
2 1 0
2 0 0
0 1 1
2 2 2
10 6
2 1 3
1 1 1
3 1 2
1 2 2
0 0 0
1 3 2
2 3 1
3 3 0
2 3 0
0 2 2
10 3
0 3 3
1 3 0
3 2 2
2 3 2
0 0 2
3 0 3
0 1 1
1 0 3
1 1 0
1 0 2
10 6
1 2 2
1 1 3
2 1 1
0 2 2
0 1 1
0 3 0
1 2 0
2 0 0
2 3 3
1 2 3
10 5
0 1 2
3 1 2
1 0 0
0 3 2
3 2 1
0 2 3
2 3 1
3 0 3
3 1 1
1 3 1
10 2
1 2 1
1 2 3
0 2 1
1 3 1
3 2 2
0 1 0
2 2 1
0 1 2
2 3 2
0 2 2
10 2
1 0 1
0 1 0
1 0 0
2 0 1
1 2 0
2 0 2
1 2 2
2 2 2
1 1 2
0 2 0
10 7
3 2 1
1 2 0
0 2 0
0 3 1
0 0 0
1 0 0
3 3 3
2 2 1
1 3 3
3 1 0
10 3
0 1 0
1 0 2
2 0 2
1 1 1
2 1 2
1 2 0
0 1 1
1 0 0
1 2 2
0 1 2
10 2
2 2 0
0 1 1
2 1 1
2 2 1
0 2 1
1 1 1
2 1 0
1 2 1
1 2 0
0 0 1
10 9
0 1 2
2 0 1
0 1 1
2 1 0
1 1 1
2 2 2
0 2 1
2 1 2
2 0 0
2 2 0
10 9
0 1 0
2 1 0
2 0 2
0 1 2
0 2 2
2 2 2
2 2 0
1 0 2
1 2 0
1 0 1
10 9
0 3 1
2 3 1
2 2 3
1 2 0
3 2 2
3 3 3
2 1 0
2 1 1
1 3 3
0 2 0
10 8
0 1 1
1 2 1
3 2 1
1 1 1
1 0 1
1 2 3
2 1 3
0 2 1
0 1 0
2 2 0
10 4
1 2 2
2 3 3
3 1 1
1 0 0
0 3 0
2 2 1
1 3 2
3 0 3
2 3 2
1 3 1
10 7
1 0 3
2 3 1
3 0 1
3 2 3
0 0 0
0 3 1
0 2 3
3 0 0
1 3 1
3 2 1
10 3
0 1 2
0 3 0
3 0 1
3 1 3
0 2 2
2 0 1
2 1 1
1 3 1
2 1 2
0 0 3
10 3
2 2 0
1 0 2
2 1 2
1 2 2
0 1 2
0 0 1
0 1 1
0 2 2
1 2 1
2 0 2
10 8
1 0 2
1 1 0
2 0 1
2 0 0
2 1 1
1 2 2
2 1 0
0 2 0
2 2 1
2 0 2
10 7
0 1 3
0 3 1
3 3 3
0 2 2
3 3 2
0 1 2
3 2 1
0 3 0
3 2 2
1 1 2
10 4
3 0 0
0 3 2
0 2 2
3 2 1
3 3 1
1 2 2
0 1 0
0 0 0
0 3 3
1 0 3
10 2
2 3 2
0 3 2
1 2 0
1 3 3
3 1 3
0 0 1
2 2 3
2 2 0
0 1 2
2 0 3
10 5
2 0 0
0 2 0
1 0 0
2 1 0
1 0 1
2 1 1
1 2 0
2 0 2
0 0 2
2 1 2
10 4
2 1 1
2 1 2
0 1 0
0 2 0
1 1 1
1 2 2
2 2 2
2 1 0
0 0 1
1 1 2
10 7
2 2 0
0 0 0
2 0 1
0 2 2
1 0 0
0 1 1
2 0 2
1 1 1
1 1 0
1 0 2
10 7
3 3 2
3 3 3
2 2 0
2 0 0
0 2 0
0 0 2
1 1 3
2 1 1
2 2 3
1 1 1
10 7
2 3 1
1 3 0
2 0 1
0 1 3
1 2 2
0 3 3
0 1 0
0 3 1
1 3 1
0 3 0
10 7
2 2 2
1 1 1
2 1 1
1 1 2
0 2 2
0 0 2
2 1 2
0 1 2
2 0 1
2 2 0
10 2
1 1 1
1 2 1
0 1 0
2 2 2
0 2 2
0 1 2
0 0 0
2 0 2
1 2 0
1 1 2
10 4
0 3 1
1 0 2
3 0 3
2 2 1
3 2 2
0 0 0
1 2 0
2 0 3
3 2 1
2 1 1
10 8
0 0 0
0 1 2
0 2 1
0 0 2
2 1 0
1 0 1
2 2 2
2 1 2
0 2 0
0 1 0
10 4
0 1 0
1 3 0
2 3 1
1 1 3
2 3 3
0 3 0
1 0 0
2 2 2
2 0 0
0 2 2
10 9
0 3 0
0 2 2
2 0 0
1 1 3
3 3 0
3 1 2
1 3 1
3 3 2
0 2 0
1 1 1
10 6
2 2 1
2 1 1
2 2 0
1 2 0
0 0 2
0 0 1
1 2 2
0 1 2
2 1 2
2 0 2
10 2
0 2 3
1 3 2
2 3 2
3 2 0
1 0 0
1 2 0
3 1 1
3 0 0
3 1 3
2 1 1
10 9
0 2 2
1 1 3
0 0 1
2 1 1
2 3 2
3 0 2
0 2 0
1 1 2
0 3 0
0 0 3
10 7
2 1 0
2 2 1
2 0 2
0 1 2
0 2 2
2 2 0
0 0 0
0 2 0
0 0 1
1 0 2
10 2
1 2 1
1 2 3
3 1 2
3 3 1
1 1 2
2 2 0
2 2 2
1 3 2
3 0 0
0 2 1
10 9
1 0 1
2 2 1
2 2 2
1 0 2
2 0 1
2 0 0
2 1 0
0 2 1
1 2 2
1 2 0
10 6
3 2 0
2 1 0
2 0 2
3 0 3
0 3 3
2 2 0
3 1 0
3 3 0
1 2 3
2 2 1
10 9
0 3 1
3 0 0
0 0 0
3 2 0
3 3 3
0 1 2
2 3 1
0 0 2
0 3 2
3 2 1
10 3
2 0 3
2 2 3
1 1 1
1 2 0
2 2 1
0 2 0
2 1 2
0 1 1
0 1 0
2 0 0
10 3
0 2 1
0 0 2
0 0 0
2 0 2
1 0 1
0 2 2
2 1 1
2 1 2
0 1 0
0 2 0
10 4
0 2 0
2 3 3
0 0 3
3 0 3
0 3 0
1 3 3
2 1 0
2 0 0
3 0 2
1 1 2
10 8
2 0 1
2 1 1
1 0 2
1 1 2
0 2 2
0 0 1
0 0 0
0 1 1
1 1 0
0 1 0
10 7
1 1 1
1 0 1
2 0 2
2 2 2
1 2 1
0 1 0
2 1 1
1 1 0
1 2 2
2 2 1
10 7
2 2 0
3 2 1
3 1 2
3 1 3
3 3 3
0 0 3
1 0 0
3 0 3
2 1 3
0 2 1
10 3
1 3 3
2 1 1
2 0 3
0 3 1
3 0 3
0 0 2
1 0 0
2 2 1
3 2 1
3 3 2
10 5
0 0 2
1 2 2
0 1 0
2 0 2
1 0 0
1 0 1
1 2 1
0 2 2
2 0 0
2 2 1
10 7
0 2 0
1 0 0
0 0 1
3 3 0
2 2 3
1 2 3
2 3 0
3 0 1
3 0 0
1 2 1
10 7
0 0 0
0 2 2
2 2 1
2 0 2
1 2 1
1 1 0
0 1 1
1 0 1
1 1 1
0 0 1
10 2
2 1 0
1 0 0
2 0 2
1 0 1
2 1 1
0 2 2
2 0 1
1 2 1
2 2 1
0 0 1
10 7
2 1 1
3 3 2
1 2 0
2 3 1
1 3 2
3 2 1
2 3 3
0 2 0
1 3 3
3 0 3
10 4
3 1 2
3 1 0
3 3 3
2 2 2
0 3 2
2 1 0
1 1 0
2 3 1
1 3 3
3 0 0
10 4
3 2 2
1 2 1
1 0 0
1 1 1
0 3 1
0 2 3
3 2 3
1 0 1
3 2 0
2 1 3
10 3
2 0 2
0 1 1
3 3 3
3 2 1
1 0 3
2 2 1
3 1 2
2 1 0
0 1 2
3 3 1
10 9
2 3 3
3 1 3
2 3 0
2 2 3
1 3 2
0 3 1
1 0 3
1 1 2
2 0 1
0 1 2
10 8
2 0 0
3 1 1
2 2 2
1 3 3
2 0 3
0 3 3
0 1 3
1 1 0
1 2 1
0 3 1
10 7
1 2 0
0 0 1
1 1 0
1 2 1
0 2 0
0 2 2
0 0 0
1 1 1
1 2 2
2 2 2
10 2
1 0 0
1 1 1
0 0 0
0 0 1
2 0 1
1 0 2
2 1 1
0 2 1
2 0 0
2 2 0
10 4
2 3 0
2 3 3
3 2 1
0 2 1
3 0 1
2 1 3
3 2 0
2 2 1
1 3 2
1 0 1
10 6
1 1 3
0 0 3
1 0 1
2 0 3
2 0 0
1 1 2
1 0 2
0 0 2
2 2 0
0 3 1
10 3
0 1 2
3 2 1
3 3 2
0 0 0
1 0 2
3 1 1
1 0 1
0 1 3
3 2 0
2 2 0
10 6
0 2 0
1 1 1
0 0 1
2 3 1
3 2 0
1 3 1
2 0 0
1 3 0
3 2 3
3 1 0
10 2
1 3 0
1 3 1
0 3 2
2 1 2
3 1 3
0 3 1
0 1 0
0 0 0
1 0 1
1 0 3
10 8
2 0 3
2 1 3
0 1 3
2 1 1
1 2 3
1 3 0
0 2 3
0 3 1
1 0 3
3 2 0
10 9
1 3 3
3 0 1
2 3 3
0 0 2
3 3 2
0 0 3
1 2 2
3 0 0
2 0 2
1 2 1
10 7
3 0 3
1 0 3
0 1 1
1 1 2
3 1 1
0 2 2
2 0 3
3 3 1
3 0 0
2 0 0
10 9
0 1 1
2 0 0
1 0 2
0 2 0
2 1 1
1 1 2
1 0 0
2 2 1
1 1 1
0 0 0
10 8
1 2 1
0 0 1
1 1 1
2 2 1
2 2 0
1 0 0
1 1 2
2 1 2
2 0 1
0 1 1
10 2
2 1 2
0 2 1
2 1 1
0 1 2
0 2 2
2 2 2
0 2 0
1 1 2
1 2 0
0 1 1
10 7
0 3 2
1 0 0
1 0 3
2 0 0
1 2 1
3 3 0
0 3 0
1 1 3
1 2 2
2 0 2
10 4
2 0 1
1 0 0
2 2 0
1 2 1
2 0 0
2 0 2
1 2 0
0 1 0
0 1 1
2 1 0
10 9
0 0 2
1 1 2
0 2 1
1 1 1
1 1 0
2 0 0
0 0 0
2 0 2
1 0 0
2 2 0
10 3
2 2 3
0 1 1
2 2 0
3 2 3
0 2 0
1 0 0
0 1 3
3 3 1
2 3 3
3 1 0
10 2
1 2 1
2 1 1
0 0 1
2 2 0
2 0 2
1 0 0
0 0 2
1 2 2
1 1 2
0 1 0
10 8
2 1 2
0 1 2
1 2 1
1 0 0
1 2 0
2 0 1
0 0 2
1 1 1
2 1 1
0 2 1
10 9
0 2 3
2 3 1
3 3 2
0 0 0
0 2 1
1 2 3
0 3 2
3 3 1
2 0 3
3 2 0
10 5
1 1 0
0 2 0
2 0 1
0 2 1
1 2 2
0 1 1
1 0 2
0 0 2
2 0 0
0 0 1
10 6
2 0 2
3 3 3
0 3 1
1 3 3
0 3 2
1 3 0
1 1 2
2 1 1
3 3 2
0 2 1
10 8
3 3 1
0 1 1
3 1 3
1 2 0
0 1 2
3 1 1
1 1 3
1 3 3
3 3 3
2 3 3
10 8
1 1 1
0 1 2
2 2 2
2 2 1
0 1 0
1 1 2
0 2 1
2 0 0
2 0 1
0 2 2
10 9
3 3 1
3 2 0
2 1 3
1 1 0
1 1 2
0 3 3
1 3 2
0 0 1
1 2 0
2 3 2
10 9
0 2 2
3 2 1
3 3 3
2 0 3
1 1 2
1 3 2
0 1 2
2 1 3
2 1 0
1 0 1
10 5
0 2 2
0 1 3
1 1 0
3 1 1
0 0 3
2 3 3
1 3 3
0 0 1
3 0 1
1 0 0
10 4
1 0 2
0 2 2
0 0 1
2 1 0
1 1 0
1 1 1
0 1 2
1 2 1
2 2 0
2 0 2
10 7
1 1 2
1 0 2
0 2 2
2 1 2
0 1 1
0 1 2
0 2 1
2 2 0
1 2 1
0 0 1
10 6
2 1 0
2 2 1
2 3 3
3 3 1
2 0 0
1 2 2
0 3 2
1 2 3
1 0 2
1 0 1
10 3
2 3 2
0 0 2
0 1 0
3 3 1
0 1 2
1 2 0
3 0 3
2 3 0
3 0 0
3 2 2
10 9
2 3 1
1 3 0
1 1 3
3 0 2
3 1 3
3 2 2
3 3 1
1 1 1
1 2 0
0 0 3
10 9
2 2 0
0 1 2
1 2 0
2 1 2
1 2 1
1 1 2
0 0 2
0 1 0
1 0 2
0 1 1
10 6
1 1 1
2 2 0
0 2 2
2 1 2
1 2 2
2 0 0
2 0 1
1 2 0
0 1 2
0 0 2
10 2
0 3 2
2 2 3
3 2 3
0 2 2
2 3 2
2 0 0
3 2 1
1 0 2
3 0 1
3 1 3
10 4
2 2 0
2 1 0
1 0 0
1 1 0
1 2 0
0 0 1
2 2 1
1 0 1
0 1 1
0 1 2
10 4
2 1 2
2 0 0
0 1 1
1 2 3
1 0 1
1 2 1
0 2 0
2 3 1
3 2 1
2 2 3
10 5
2 2 0
2 0 1
1 1 0
2 0 0
1 2 0
1 1 2
2 2 1
0 2 2
1 0 0
2 1 1
10 2
2 0 2
3 3 1
1 2 0
3 2 1
3 3 3
0 1 1
2 0 0
0 0 1
0 0 2
0 3 3
10 2
1 1 1
1 0 1
2 1 1
2 1 2
1 1 2
0 0 0
2 0 2
2 2 0
0 2 2
2 2 2
10 6
0 0 2
2 2 2
1 1 0
2 1 2
0 0 0
0 1 0
2 2 0
0 0 1
0 1 2
2 0 2
10 9
0 1 0
1 0 1
2 2 1
1 0 2
0 0 2
2 2 2
1 2 1
1 1 0
0 0 0
2 0 0
10 2
1 1 2
1 0 0
1 0 1
2 1 2
1 2 1
0 2 1
0 0 0
2 0 1
0 2 0
2 2 2
10 9
0 2 3
0 2 1
1 2 0
3 0 0
0 3 1
0 2 2
0 3 3
0 0 3
1 2 1
0 0 2
10 8
2 1 1
0 0 2
0 1 0
0 2 1
2 2 1
2 1 0
1 0 1
0 2 0
0 2 2
1 2 0
10 8
1 3 0
2 2 1
3 0 0
1 3 1
3 3 1
2 3 0
3 1 2
1 0 2
3 1 1
1 1 0
10 4
0 2 0
2 2 0
2 1 2
2 0 0
1 1 2
1 1 1
1 2 1
2 2 1
0 0 0
0 1 1
10 3
0 1 2
2 1 1
0 0 0
1 0 0
2 2 1
1 2 2
0 1 0
2 2 2
0 2 2
1 0 1
10 9
0 2 1
2 2 1
0 3 0
3 2 0
2 3 3
1 2 2
3 1 0
0 0 0
2 1 2
2 3 2
10 5
1 1 2
2 3 0
2 3 2
1 0 0
3 1 1
1 0 1
2 2 1
2 1 2
0 1 3
1 1 1
10 4
0 1 3
3 2 3
1 2 3
1 2 0
1 0 0
2 0 0
1 3 2
3 2 1
3 0 1
2 0 1
10 7
0 0 2
0 2 1
2 2 2
0 0 1
2 0 1
1 1 0
2 1 2
0 1 0
2 2 0
1 0 2
10 4
1 0 2
3 0 2
2 0 1
1 1 2
1 3 0
1 2 2
0 0 0
2 2 3
3 0 3
2 0 3
10 8
0 3 1
2 0 1
3 2 0
2 2 2
1 0 3
1 0 1
0 2 2
1 3 3
0 0 3
0 1 3
10 9
0 3 3
2 1 0
2 2 1
1 0 1
0 2 3
3 3 0
1 1 3
0 1 3
2 3 3
1 0 2
10 3
3 1 3
2 1 1
3 2 2
1 2 1
2 3 1
3 0 0
0 2 0
2 1 3
1 2 3
0 3 3
10 6
0 1 0
0 0 1
0 1 1
1 2 2
0 0 0
2 1 1
1 0 2
2 1 2
2 0 2
2 2 1
10 4
0 2 0
1 3 1
3 1 2
1 2 3
0 0 1
1 2 1
3 3 0
0 1 3
3 2 1
1 1 0
10 2
2 1 3
2 1 0
2 1 2
1 2 3
1 3 0
1 3 1
1 2 0
2 2 3
2 2 0
1 1 1
10 6
3 3 1
0 0 1
1 0 3
0 0 0
0 2 2
1 3 1
2 2 2
0 2 1
1 0 0
1 3 3
10 7
2 1 1
2 0 1
2 2 1
1 2 1
1 0 1
0 1 0
2 1 0
1 1 1
0 1 1
0 0 2
10 4
0 3 2
0 3 3
1 2 2
1 3 3
2 3 2
0 3 1
1 0 1
3 0 1
3 1 2
3 0 2
10 2
1 3 1
2 0 0
0 0 0
0 2 0
0 2 2
1 3 3
3 3 0
2 0 1
2 3 2
1 2 1
10 8
0 2 1
0 1 0
1 1 0
0 1 2
1 0 1
1 0 2
2 1 0
1 0 0
1 1 2
0 0 2
10 5
1 0 0
0 1 2
2 0 1
1 1 1
1 2 0
1 2 1
0 2 0
0 0 1
2 2 0
0 2 1
10 8
1 0 3
2 3 3
3 0 1
0 2 0
1 1 1
0 3 2
2 2 1
1 3 2
1 0 1
0 2 2
10 9
1 0 1
1 0 2
2 0 1
0 0 2
2 0 2
1 0 0
1 2 1
0 2 0
1 1 0
0 0 0
10 8
1 1 1
3 1 1
2 1 2
3 0 3
0 1 1
1 0 2
0 0 3
1 3 3
1 2 0
2 2 0
10 6
1 0 0
2 1 2
2 2 2
0 2 0
1 2 1
1 1 2
2 2 0
1 0 1
2 0 0
0 1 2
10 5
1 1 0
2 2 0
1 0 0
0 2 2
0 2 1
2 0 2
2 1 2
2 0 1
0 0 2
1 1 2
10 7
1 2 2
2 2 2
3 2 1
1 2 1
3 0 0
1 3 2
3 1 3
0 1 1
2 2 1
2 2 0
10 5
1 1 0
1 2 1
1 0 0
0 0 2
0 2 1
1 1 1
0 2 0
2 1 1
0 1 0
2 0 1
10 7
1 0 3
3 2 2
1 0 0
3 2 0
2 0 0
2 1 1
2 0 2
0 3 0
3 0 3
1 1 2
10 2
2 2 0
0 2 1
2 1 0
1 1 2
0 1 1
1 1 1
2 0 0
2 2 1
2 0 1
1 2 2
10 6
0 0 0
2 0 1
1 2 0
2 1 1
0 2 1
2 2 2
1 1 0
2 2 1
2 2 0
1 0 0
10 5
0 1 0
1 0 1
0 0 1
2 0 2
1 0 0
2 1 0
1 2 1
1 0 2
0 1 1
0 0 2
10 5
0 1 2
2 0 2
2 2 0
0 2 1
0 0 0
1 0 0
2 2 2
2 0 0
0 1 0
1 1 0
10 4
1 2 1
0 0 2
2 0 1
2 0 0
1 1 0
1 2 0
2 1 2
1 1 2
1 0 1
1 0 2
10 9
2 0 1
2 2 0
0 0 0
0 1 1
1 2 2
2 2 2
1 1 1
2 1 1
0 1 2
2 0 0
10 3
3 0 0
0 3 0
2 1 1
3 3 2
1 3 1
0 0 0
1 2 0
2 1 0
1 1 2
2 0 3
10 3
1 0 2
2 2 1
1 0 0
2 0 2
0 1 2
1 2 1
0 2 0
2 0 1
1 2 0
0 2 1
10 2
2 1 1
2 2 2
2 2 1
0 0 1
1 1 2
1 1 0
1 1 1
0 2 2
0 0 0
0 1 2
10 2
3 0 0
2 0 1
0 0 3
2 2 3
2 1 1
1 1 0
0 3 0
3 2 0
0 2 3
0 2 0
10 2
2 1 0
1 0 0
0 1 0
2 0 0
2 1 2
0 2 2
2 2 1
2 1 1
0 0 0
1 0 2
10 6
2 0 2
2 1 0
2 1 1
1 2 2
1 0 0
2 1 2
2 2 1
1 1 2
2 0 0
2 0 1
10 2
2 1 2
3 3 3
3 2 3
2 0 2
1 3 2
3 1 2
1 1 0
1 2 2
3 1 3
1 2 1
10 2
1 2 1
0 3 2
2 0 2
1 0 1
2 1 0
1 2 2
0 3 1
1 1 3
3 0 3
3 2 3
10 9
0 0 2
0 3 3
2 0 3
2 3 1
1 0 2
1 3 1
1 2 2
3 3 3
1 3 2
3 3 1
10 4
3 2 3
2 2 3
0 3 3
1 1 0
0 0 2
2 3 3
3 0 0
1 1 1
2 3 2
2 2 1
10 3
0 0 1
2 1 2
2 0 1
1 1 2
0 1 1
1 0 0
1 1 0
0 3 1
2 3 2
3 0 2
10 8
1 3 2
0 3 2
0 2 2
3 1 2
1 2 3
0 1 3
1 3 3
3 2 0
1 2 2
1 0 2
10 5
3 1 3
1 0 3
3 0 2
2 2 2
1 3 3
0 2 1
2 3 1
0 2 0
3 0 1
1 3 2
10 6
2 2 0
0 1 1
1 0 0
1 0 2
2 1 0
1 1 1
0 2 0
0 1 2
0 2 2
2 0 2
10 5
1 1 3
1 1 0
0 2 1
1 1 2
3 0 1
1 2 2
1 0 0
3 2 2
0 3 2
0 2 3
10 4
3 0 1
2 0 0
3 3 2
2 3 2
1 2 3
2 1 2
3 0 3
3 2 2
2 3 3
3 1 2
10 2
0 0 2
2 1 0
1 2 1
0 2 0
1 1 2
2 0 1
0 1 1
1 1 1
0 0 1
1 2 2
10 4
0 0 1
0 1 1
2 2 0
2 1 0
2 0 0
1 2 0
1 2 2
0 2 0
0 1 2
1 0 2
10 5
0 1 1
2 2 2
3 3 2
1 0 0
2 1 0
1 2 0
0 2 3
1 2 1
3 2 3
1 3 3
10 5
2 2 0
0 2 0
1 0 0
0 0 1
1 2 2
0 2 2
2 1 1
1 2 1
1 1 1
2 2 2
10 8
2 3 0
0 2 3
1 2 0
1 3 1
3 0 2
1 3 2
3 1 1
0 1 0
1 0 0
0 0 0
10 5
0 1 2
1 1 0
1 2 2
0 0 0
2 2 0
2 0 0
0 2 2
1 2 0
0 0 2
0 1 0
10 3
0 0 1
0 2 1
2 1 2
0 2 2
1 2 2
2 0 0
2 0 1
0 2 0
2 0 2
0 1 2
10 7
0 3 2
2 2 0
2 3 1
2 0 0
1 3 2
2 2 2
1 0 1
0 1 2
1 2 0
3 1 3
10 9
2 1 1
1 2 0
0 0 1
2 1 2
1 0 1
2 2 2
1 0 2
2 0 1
2 0 0
0 1 0
10 8
1 2 2
1 2 1
2 2 2
2 0 0
2 0 1
2 2 0
2 1 2
0 2 1
1 2 0
2 2 1
10 6
0 3 3
2 1 2
1 0 1
0 1 1
3 0 1
2 3 2
1 2 3
0 3 0
3 0 0
2 3 1
10 8
1 1 2
2 2 2
2 1 2
1 3 1
3 0 0
3 1 2
1 1 1
2 2 0
3 3 0
2 2 1
10 2
1 0 3
1 3 3
2 3 0
1 0 1
2 2 1
1 1 0
1 0 0
2 0 2
1 1 2
2 2 2
10 4
0 1 2
0 3 0
1 0 1
2 3 1
3 1 1
2 0 0
1 2 0
0 0 1
1 1 3
0 2 1
10 2
1 0 1
2 0 2
2 2 0
1 2 1
0 0 0
0 2 2
0 0 1
0 1 0
0 2 0
0 2 1
10 6
2 2 0
1 1 0
2 2 2
2 0 1
2 0 2
1 2 0
2 1 0
0 2 2
1 1 1
1 2 1
10 6
3 0 0
1 2 1
0 0 3
2 0 1
1 3 2
3 0 2
2 3 0
2 1 2
3 0 1
2 2 0
10 2
2 2 0
1 0 1
0 1 1
1 1 0
2 2 1
1 2 1
0 1 0
1 0 0
0 1 2
2 2 2
10 9
0 2 0
1 1 1
2 1 0
1 1 2
2 1 1
2 0 1
0 2 1
2 2 1
2 1 2
1 2 1
10 2
1 1 2
0 1 2
2 2 0
0 2 1
0 0 1
2 0 1
0 0 2
2 2 1
0 2 2
0 1 1
10 7
1 2 1
2 0 0
1 0 0
0 1 1
0 0 0
2 1 0
0 2 0
1 0 2
1 1 2
2 1 1
10 6
2 0 2
0 1 2
1 3 0
2 2 3
2 1 0
3 1 0
2 2 1
3 3 2
1 1 0
1 3 2
10 5
2 2 1
0 2 0
0 2 1
1 0 0
1 1 2
1 1 0
1 2 0
0 1 2
2 1 1
1 0 1
10 2
3 2 0
3 0 0
2 3 1
2 3 3
3 0 3
1 3 1
3 0 2
3 3 2
1 2 3
3 2 3
10 4
1 1 0
2 2 1
2 0 2
1 1 2
0 2 2
2 1 0
2 2 0
0 0 2
1 0 0
1 2 2
10 3
1 1 3
1 2 1
1 3 3
0 1 1
0 1 2
2 2 3
1 2 3
0 2 0
2 2 0
1 3 1
10 7
0 2 2
3 0 1
0 2 3
0 2 1
1 1 1
2 1 1
2 2 1
0 1 3
0 1 2
0 3 0
10 2
2 0 0
2 1 2
2 1 0
0 1 1
1 0 2
2 2 0
0 2 0
2 2 1
1 2 2
0 1 2
10 4
1 0 1
0 1 2
2 0 2
2 2 1
0 2 0
0 0 2
1 2 0
1 2 1
2 1 2
0 1 1
10 6
1 1 1
3 2 3
2 2 2
3 1 2
1 1 2
2 1 3
1 0 1
3 2 1
2 1 2
1 0 3
10 3
3 0 2
0 2 0
0 3 0
0 3 1
1 3 1
1 1 0
3 0 0
3 0 3
3 2 1
2 0 1
10 4
2 2 2
2 3 2
0 2 2
1 3 0
0 1 1
1 1 1
3 2 2
3 0 0
3 1 2
2 1 3
10 9
1 2 0
2 2 2
0 2 0
2 2 0
1 1 1
0 2 2
2 1 1
2 1 2
1 1 0
2 0 0
10 4
1 1 2
2 0 0
0 3 1
1 3 2
3 1 1
2 3 0
0 1 3
3 3 1
1 1 1
3 0 0
10 5
0 0 2
2 0 0
2 1 2
2 0 1
0 1 0
1 0 2
1 0 1
1 2 0
2 2 0
2 2 2
10 4
0 2 1
3 3 1
1 0 0
1 0 1
0 2 3
0 0 0
1 1 0
3 1 0
2 1 1
0 1 0
10 3
0 1 0
3 1 2
0 0 3
0 1 3
0 3 3
0 0 2
1 0 2
2 1 2
2 3 2
3 3 1
10 3
0 1 0
1 2 0
0 1 2
2 2 1
1 0 0
0 2 1
2 0 1
1 0 1
0 2 2
1 0 2
10 6
0 0 1
2 1 0
2 0 1
1 1 0
0 0 2
0 0 0
1 0 0
2 2 1
2 0 2
0 2 2
10 9
3 0 1
1 0 0
2 2 2
0 3 2
2 0 3
0 0 3
3 1 0
2 2 0
0 3 3
3 2 2
10 7
0 1 2
0 2 2
2 0 1
0 1 0
2 0 2
2 2 0
1 1 1
2 1 0
0 2 1
0 0 1
10 6
0 0 2
0 2 2
2 0 2
2 2 0
1 1 0
0 1 1
1 2 2
1 0 1
2 1 2
1 0 0
10 9
3 3 0
1 0 0
0 3 0
2 3 1
1 2 0
1 2 2
2 3 3
0 2 3
0 2 2
1 0 1
10 2
1 1 0
2 0 1
0 0 0
1 2 0
0 1 2
0 0 1
2 2 0
2 1 1
0 1 0
0 2 2
10 6
2 2 0
1 0 1
0 1 2
1 1 2
0 0 1
2 0 1
1 1 1
2 1 2
2 0 0
0 0 0
10 3
0 1 1
2 1 1
0 1 0
2 1 0
1 1 0
0 2 2
2 2 1
0 0 0
0 0 2
1 1 2
10 2
3 3 0
2 0 2
0 2 2
0 1 1
3 0 1
3 2 1
1 1 2
1 2 0
1 2 2
2 1 2
10 5
2 1 1
1 2 0
1 2 2
0 1 1
0 1 2
1 0 2
1 2 1
0 2 2
2 1 0
0 0 0
10 8
1 3 3
1 2 2
0 2 0
1 1 1
1 0 2
3 3 1
0 0 2
3 0 3
2 2 2
1 2 0
10 8
1 3 2
3 0 2
1 2 0
2 3 0
3 1 0
1 2 2
2 2 3
3 3 1
3 2 3
3 3 3
10 9
2 2 1
2 0 3
1 1 0
0 3 2
1 3 0
2 1 1
3 2 1
2 1 2
3 3 0
1 2 2
10 2
2 0 0
0 1 2
0 1 0
0 0 0
0 2 1
1 0 2
2 1 0
2 0 1
1 1 2
1 1 1
10 6
2 3 3
1 2 2
0 1 0
2 2 0
3 0 0
0 3 0
0 3 3
0 1 1
0 0 2
3 3 0
10 3
2 2 0
0 2 0
0 0 0
1 2 3
1 0 3
3 2 2
2 3 3
0 1 0
3 0 0
0 3 2
10 7
0 2 1
1 1 0
1 0 1
1 2 2
0 1 0
2 0 1
2 1 1
1 0 2
0 1 2
2 0 0
10 2
0 0 3
1 2 2
3 3 0
2 2 3
3 1 1
3 0 0
3 0 1
1 1 1
1 3 2
2 3 1
10 2
2 0 1
1 0 1
2 2 2
0 0 0
1 1 0
1 0 2
0 2 2
1 1 2
2 2 0
0 0 2
10 5
0 1 2
0 2 0
2 2 1
2 1 2
1 0 2
1 1 0
1 2 1
0 0 2
2 0 1
2 2 2
10 7
0 0 0
0 0 2
2 0 0
0 2 0
0 0 1
2 1 2
2 0 1
2 1 0
1 2 0
0 2 1
10 9
2 3 0
0 3 1
0 0 2
1 0 3
1 2 0
1 2 1
0 0 3
2 3 3
2 0 3
0 2 0
10 8
2 0 0
1 0 0
0 1 0
2 2 1
0 0 0
0 2 0
1 2 2
2 1 0
1 1 0
0 0 2
10 5
1 1 2
0 0 1
2 0 2
2 1 2
2 1 1
2 0 1
1 0 1
0 1 1
2 2 1
0 1 2
10 5
0 0 1
2 1 0
1 2 2
1 1 1
0 2 0
1 1 0
0 1 2
1 0 2
2 0 1
1 0 1
10 4
2 1 1
0 1 1
2 2 0
0 0 1
0 1 0
1 0 2
1 0 1
1 2 2
2 0 2
1 0 0
10 8
2 1 2
2 0 2
0 0 1
1 1 0
1 2 0
1 2 1
2 2 0
1 2 2
1 0 1
2 0 0
10 3
3 3 2
1 0 1
2 1 0
0 2 2
3 1 0
3 3 1
3 1 3
3 2 1
1 3 0
3 0 3
10 6
0 0 1
1 1 0
0 0 2
1 2 2
0 2 1
2 0 0
0 1 2
1 1 1
1 0 0
2 2 0
10 7
3 0 3
3 0 0
0 3 1
3 1 0
0 0 0
1 2 2
2 3 1
1 1 0
0 3 2
3 0 1
10 2
0 0 1
1 0 1
3 2 0
2 1 1
1 2 3
2 3 3
2 3 0
0 1 0
2 3 1
3 2 1
10 6
2 0 2
0 1 0
1 1 1
0 1 2
2 1 0
1 0 1
0 0 2
0 1 1
2 0 1
2 2 2
10 2
2 2 1
2 1 1
2 2 0
1 1 1
2 0 0
1 2 2
2 1 2
0 0 1
1 0 2
2 2 2
10 5
3 2 1
2 0 1
0 3 3
1 3 2
1 2 0
1 3 0
3 3 1
2 2 2
3 3 3
0 3 1
10 7
1 2 1
0 2 1
2 0 2
1 0 2
2 1 2
0 1 2
2 2 0
2 0 1
0 0 0
0 1 1
10 3
1 1 3
3 3 0
3 1 3
0 3 1
3 1 2
3 3 2
2 1 3
0 1 0
1 0 3
2 2 3
10 3
3 0 1
0 2 1
3 1 2
0 0 3
3 2 0
1 2 2
1 3 1
0 3 3
0 1 0
3 3 3
10 2
1 0 3
2 3 1
2 2 0
3 1 3
2 0 1
0 0 1
0 2 2
2 3 0
1 1 1
3 0 2
10 5
1 2 2
2 2 0
1 2 0
0 0 0
1 1 2
0 1 0
2 0 2
2 1 2
1 0 1
0 1 2
10 8
0 1 1
1 0 1
1 0 0
0 2 1
2 0 1
0 0 1
2 1 1
1 0 2
1 1 2
2 2 2
10 9
1 1 2
1 1 1
1 0 2
1 2 2
0 2 2
1 2 1
2 1 2
1 1 0
2 0 1
1 0 1
10 6
0 2 3
1 2 0
1 1 2
3 0 3
1 0 1
3 3 1
1 3 3
3 1 2
2 3 0
2 2 2
10 3
0 0 2
3 2 0
2 0 0
3 3 1
2 2 3
0 0 0
3 3 0
1 1 1
1 1 0
2 1 0
10 7
1 1 2
2 3 3
2 1 2
0 2 1
3 2 1
0 0 0
1 2 3
1 1 0
3 3 3
0 1 0
10 4
1 3 1
0 2 3
2 1 1
2 1 2
3 2 0
2 0 1
0 3 0
2 3 1
1 2 2
3 1 0
10 3
0 2 2
2 1 1
1 0 2
1 1 2
0 1 2
0 0 0
1 0 1
2 1 0
2 0 0
2 0 2
10 8
0 0 3
2 2 2
3 0 3
3 1 1
1 1 2
1 3 1
0 2 1
3 2 2
3 0 1
2 2 0
10 3
1 1 1
0 0 2
2 2 2
1 1 0
2 2 1
1 2 1
0 2 1
0 0 1
0 2 2
1 0 2
10 5
1 1 0
0 0 0
2 2 2
2 0 2
1 1 2
2 0 1
2 0 0
2 1 1
1 0 0
0 1 2
10 9
0 0 0
2 1 0
1 1 0
2 0 1
2 2 0
2 2 1
0 1 2
1 1 2
0 1 0
2 1 1
10 4
2 0 1
0 0 3
2 1 3
3 0 1
1 3 0
2 0 2
1 2 3
0 3 0
3 0 2
1 0 1
10 3
0 0 2
2 2 0
1 2 3
3 0 1
1 0 0
1 1 1
2 3 3
1 3 0
0 2 0
1 2 2
10 7
2 3 1
0 0 3
2 1 2
1 0 1
0 2 2
2 0 3
3 3 3
3 3 1
0 1 1
2 2 2
10 8
2 2 0
1 2 1
2 1 1
2 0 1
0 1 0
0 2 0
1 0 0
2 0 2
1 0 2
0 1 2
10 8
1 0 0
2 2 0
1 2 2
1 0 2
2 0 0
2 0 1
2 1 0
1 1 1
0 0 2
1 0 1
10 2
1 0 1
0 3 2
1 0 0
1 1 0
3 3 2
3 1 3
3 2 1
3 1 0
2 2 1
0 0 2
10 8
0 3 2
1 3 0
2 0 1
2 0 0
3 2 2
0 3 1
0 0 0
3 1 2
2 2 1
1 1 1
10 8
0 1 1
2 3 2
3 0 1
3 3 2
0 0 0
2 0 2
2 0 1
1 2 1
2 2 1
3 1 1
10 8
0 0 2
0 1 1
1 2 0
1 1 1
1 0 1
2 0 0
2 2 0
2 1 0
0 1 2
1 1 0
10 4
0 1 2
2 2 1
0 0 0
1 2 2
2 1 1
1 0 0
0 0 1
2 2 2
1 2 1
2 0 0
10 4
0 2 2
2 2 2
1 1 2
2 0 0
0 2 1
2 0 2
1 0 0
2 1 0
2 1 1
2 2 0
10 6
3 1 2
2 3 1
2 0 0
0 2 1
0 1 0
3 2 3
0 0 0
1 1 2
1 1 1
1 3 0
10 3
2 2 1
1 1 2
1 2 0
0 0 0
0 2 1
1 0 0
0 2 2
2 0 2
0 0 1
0 1 1
10 5
3 2 3
1 1 0
1 2 3
1 3 2
0 2 1
2 2 2
1 2 2
0 1 1
3 1 2
3 3 2
10 9
0 2 1
2 0 2
1 0 0
2 1 0
0 1 1
0 2 0
0 0 2
1 0 1
2 2 1
0 0 1
10 5
2 2 2
2 0 0
0 1 1
1 1 1
2 1 1
1 0 2
2 2 0
2 2 1
0 0 1
1 0 0
10 5
2 1 3
2 3 2
0 1 3
3 2 0
0 1 1
0 2 1
1 0 1
3 0 0
1 2 2
2 0 0
10 7
2 2 3
1 0 3
1 3 1
0 2 2
2 3 0
0 3 3
2 0 1
3 1 3
3 0 3
3 0 2
10 5
0 1 1
2 1 0
2 0 1
1 2 0
0 1 0
0 1 2
1 0 2
2 2 2
1 2 2
2 0 2
10 9
1 1 2
0 2 1
2 2 2
2 0 0
2 1 1
2 0 1
2 0 2
1 1 0
1 2 2
1 0 1
10 8
2 1 0
2 0 2
2 1 2
1 0 1
1 2 0
0 0 0
0 2 2
1 0 0
1 0 2
1 1 1
10 2
3 2 1
1 3 2
1 0 0
0 0 0
2 0 1
2 0 3
0 0 1
0 3 2
0 3 0
3 0 0
10 4
1 0 1
0 2 2
2 0 2
0 0 0
1 2 1
0 0 1
0 1 2
1 2 0
2 1 2
2 2 0
10 7
0 2 1
0 3 2
1 2 3
3 0 1
2 1 1
2 3 1
0 3 1
2 2 1
1 2 0
3 0 2
10 8
3 3 3
1 1 3
2 1 2
3 0 3
3 3 2
2 2 2
3 3 1
0 1 0
0 2 1
1 3 3
10 9
3 1 0
0 0 0
1 2 0
0 1 1
3 3 0
0 3 0
1 3 1
0 3 3
3 3 2
0 0 3
10 7
3 1 2
3 2 2
1 3 2
3 3 2
1 2 2
2 2 2
0 2 1
0 2 0
3 0 0
2 1 1
10 2
0 2 0
1 1 1
0 2 2
0 0 2
1 1 2
2 1 0
0 1 2
2 0 2
2 2 0
2 2 1
10 3
2 2 2
0 1 2
1 1 1
0 1 3
3 0 2
3 3 0
1 0 3
1 1 3
1 3 2
2 2 0
10 5
0 3 0
2 1 1
0 0 1
3 1 0
2 1 2
0 1 3
2 0 0
3 0 0
2 3 2
3 2 3
10 8
0 2 2
0 1 0
2 1 0
1 2 0
2 0 0
0 1 1
1 0 0
0 2 0
1 2 2
2 1 1
10 9
3 3 1
1 2 1
0 2 2
2 0 0
2 2 0
0 0 3
2 3 0
1 0 2
2 1 2
2 0 2
10 7
1 0 3
3 1 2
3 2 1
1 3 1
0 3 0
3 2 2
0 1 3
1 3 3
2 3 2
2 3 1
10 9
2 0 0
0 0 1
2 1 1
1 0 1
0 1 1
0 1 2
1 1 2
2 2 2
2 0 1
2 2 0
10 9
1 2 0
0 0 0
0 2 2
0 1 0
3 2 0
3 0 3
2 2 0
1 1 0
1 1 2
0 3 1
10 6
2 2 2
1 1 0
3 0 2
3 3 3
2 0 1
1 1 1
3 1 0
0 3 0
1 1 3
1 1 2
10 8
1 2 1
0 2 2
3 2 1
2 2 2
3 2 2
2 0 3
3 2 0
1 2 0
0 0 2
2 3 2
10 3
1 1 0
3 3 2
3 2 0
0 3 3
2 1 0
3 3 1
1 0 3
0 2 1
2 0 2
2 3 1
10 9
3 3 0
3 2 2
3 1 2
2 3 3
3 0 0
1 3 2
1 3 0
1 2 2
0 3 1
2 3 0
10 4
0 0 1
0 2 1
1 0 0
0 0 0
2 1 1
2 1 2
0 2 2
0 1 2
1 1 0
1 2 0
10 7
1 2 0
0 2 1
0 0 2
1 0 0
1 1 2
2 2 0
2 1 1
2 2 2
1 2 1
2 1 2
10 9
3 3 2
1 0 1
0 3 3
2 2 1
1 3 2
1 2 3
3 1 1
1 0 0
0 0 0
0 3 1
10 8
1 2 0
2 2 2
1 1 2
1 2 1
2 0 2
2 2 1
1 1 0
0 2 2
1 0 1
0 1 0
10 2
1 2 0
1 2 2
0 1 0
2 0 0
2 2 1
1 1 0
1 2 1
1 1 2
2 2 2
0 0 1
10 2
2 2 1
2 0 0
0 1 0
2 2 2
0 2 1
0 0 1
0 1 2
1 1 2
1 0 2
0 0 0
10 6
0 0 0
2 0 0
1 1 0
0 2 2
2 2 2
1 2 1
0 1 2
2 1 0
0 1 0
1 0 0
10 8
1 1 0
0 1 2
0 0 1
2 2 2
2 1 2
1 0 2
2 0 2
2 0 0
1 2 1
2 0 1
10 6
2 2 1
1 0 2
2 1 1
1 1 1
2 1 0
1 2 0
2 2 2
2 1 2
0 1 1
2 0 1
10 7
1 1 0
2 1 3
3 2 1
1 0 0
0 0 2
3 0 2
0 2 0
2 2 1
3 0 3
1 3 3
10 8
1 2 2
2 3 3
1 1 0
0 0 0
3 1 2
1 3 2
2 1 0
0 3 2
3 2 1
3 3 0
10 3
1 0 0
0 3 3
0 2 3
2 2 0
0 3 0
1 1 0
2 3 0
2 3 2
2 3 1
2 2 1
10 4
1 0 2
3 0 2
0 2 0
2 1 3
3 3 3
3 2 0
2 2 3
1 3 3
1 2 1
2 3 2
10 2
1 3 0
3 2 1
2 0 2
1 2 0
3 3 0
2 1 0
2 0 1
3 1 1
1 3 1
3 3 1
10 2
0 2 2
2 2 0
1 1 2
2 2 2
1 1 1
2 2 1
0 0 1
0 1 0
2 0 0
0 2 1
10 6
3 2 0
1 2 1
0 1 2
3 1 0
2 2 1
1 2 0
0 3 0
2 0 0
2 0 3
1 2 2
10 5
3 0 2
0 1 3
3 3 1
3 1 2
2 3 2
2 3 3
1 2 1
2 1 1
1 0 3
3 3 3
10 3
1 2 2
2 0 0
1 2 1
0 0 0
1 1 2
1 1 1
2 1 1
2 1 0
2 2 0
2 0 1
10 8
2 1 0
0 1 1
2 0 1
1 1 2
0 1 0
2 2 0
2 0 2
0 0 2
1 0 2
2 1 2
10 8
3 1 3
3 2 2
1 3 0
0 2 0
2 0 0
3 0 3
3 3 2
3 3 3
1 2 2
1 0 1
10 7
1 2 0
1 2 1
0 1 2
1 1 0
1 1 1
2 2 1
2 1 1
1 1 2
0 1 0
0 0 1
10 3
0 1 1
2 1 1
0 2 1
2 2 0
1 2 2
0 0 2
0 2 0
2 2 1
2 0 1
2 2 2
10 8
2 2 2
3 1 2
3 2 3
3 3 3
1 2 2
2 3 3
1 1 1
2 0 1
2 3 1
3 0 2
10 9
0 2 1
3 1 3
2 2 3
1 0 0
3 3 2
2 3 3
3 1 2
1 0 3
1 0 1
1 3 0
10 9
0 0 0
0 2 1
1 2 2
1 0 3
2 2 3
3 0 3
3 3 0
3 1 1
2 2 0
3 2 1
10 4
1 0 1
2 1 0
1 2 0
2 0 2
0 2 1
1 1 1
1 1 2
0 1 0
1 2 1
1 0 0
10 2
3 2 1
3 1 0
1 1 3
0 2 2
1 0 0
2 3 3
0 1 3
2 2 3
0 3 1
1 1 0
10 9
2 3 3
0 0 2
3 0 0
3 0 3
1 3 0
3 0 2
2 2 0
2 1 2
2 3 0
3 1 0
10 4
1 2 1
3 2 1
2 3 2
3 0 0
1 0 2
0 0 0
2 0 1
2 3 1
0 3 2
3 3 0
10 8
0 2 0
0 2 3
1 3 1
2 2 1
1 2 0
0 1 0
2 1 1
0 0 2
2 3 0
0 1 3
10 4
2 0 2
1 2 1
1 1 0
0 0 0
0 1 1
1 0 1
1 1 1
2 1 0
0 0 1
0 2 2
10 2
0 2 1
2 0 0
2 2 2
0 2 0
2 2 1
2 1 0
1 2 0
0 2 2
1 2 1
0 1 1
10 4
1 2 1
2 0 0
1 1 0
1 0 1
0 0 2
2 1 0
2 2 2
2 2 0
1 1 2
1 1 1
10 8
0 0 0
2 3 0
0 1 0
3 0 0
1 1 2
1 0 3
2 1 1
1 2 1
3 3 2
0 0 3
10 6
0 1 2
0 2 0
2 1 3
0 2 3
2 1 2
2 2 0
3 3 2
3 2 2
2 3 3
3 1 0
10 4
1 3 1
1 1 0
3 0 3
2 0 3
1 2 1
3 2 0
0 2 2
0 1 0
1 2 3
2 1 3
10 8
1 2 0
2 0 1
2 2 2
0 2 0
0 0 1
1 2 1
1 1 0
2 1 2
2 1 1
1 0 0
10 8
0 2 0
2 1 3
3 2 2
3 1 3
1 1 2
3 0 0
1 1 3
1 3 1
0 0 0
1 0 3
10 9
1 1 0
1 2 0
0 2 0
2 0 2
2 1 2
1 0 1
0 1 0
2 2 1
2 2 2
1 2 2
10 6
3 3 3
0 3 1
1 2 2
2 3 0
1 2 3
1 0 2
2 0 0
1 2 0
3 0 2
0 2 2
10 4
0 2 1
3 0 3
3 2 3
0 3 3
3 0 2
1 3 3
3 3 0
2 1 2
1 0 0
1 1 3
10 9
0 2 0
3 1 0
1 0 0
2 0 2
2 3 2
0 3 2
2 0 1
2 2 3
1 0 1
0 1 2
10 5
2 2 1
0 1 2
2 3 2
1 0 2
1 2 3
1 0 0
1 3 2
2 1 1
1 2 2
3 1 2
10 8
3 3 1
2 3 2
2 2 0
1 0 0
3 1 0
3 1 2
2 3 0
1 2 1
0 0 1
1 1 3
10 8
2 0 1
1 0 2
2 0 0
2 0 2
0 0 2
1 2 1
1 0 1
2 1 2
1 1 1
0 2 1
10 4
0 3 2
0 1 0
3 1 0
2 1 3
0 3 3
1 0 2
0 2 1
1 0 1
2 2 3
3 2 0
10 6
1 1 2
3 0 0
1 0 1
3 1 3
1 2 1
0 0 0
3 3 0
3 1 0
2 1 1
0 2 0
10 3
0 0 1
2 0 2
1 2 0
3 2 0
1 0 3
2 1 0
1 0 2
2 2 2
1 2 3
1 1 2
10 6
1 3 3
3 1 2
2 3 0
2 1 0
0 2 3
0 3 1
2 2 0
2 2 3
1 0 3
1 3 2
10 7
1 0 1
1 2 2
2 0 1
0 2 0
1 1 0
0 2 2
2 2 2
0 1 1
0 1 0
1 2 1
10 7
1 2 1
1 1 2
2 0 0
0 2 1
2 1 2
0 0 0
2 2 0
0 1 1
1 0 2
2 2 1
10 8
0 2 3
3 0 3
2 1 1
2 2 2
0 0 1
2 0 0
0 1 2
3 3 1
2 2 0
3 3 3
10 3
0 3 2
0 2 0
2 0 2
3 2 2
1 2 1
2 3 1
1 3 1
0 0 3
0 1 0
1 0 0
10 7
2 0 1
3 2 1
2 0 0
0 3 3
3 3 1
1 2 0
0 1 0
0 2 3
2 0 3
0 0 1
10 9
0 2 2
1 0 0
1 1 2
2 1 2
1 2 1
2 0 1
1 1 0
2 2 1
2 1 1
0 0 1
10 8
1 1 0
1 2 2
2 2 2
0 1 1
1 2 1
0 1 2
2 1 2
1 2 0
0 2 1
0 2 0
10 4
0 1 0
2 1 3
2 2 0
0 3 1
2 0 3
2 1 1
2 3 1
0 2 2
3 0 0
2 1 0
10 8
3 1 1
0 2 3
2 3 3
2 1 3
1 1 0
0 2 0
3 0 0
2 3 1
0 3 3
1 0 2
10 3
1 0 2
1 2 3
3 3 0
3 0 1
0 1 3
3 3 2
2 0 0
3 2 3
2 0 3
2 2 1
10 9
1 1 2
1 0 0
0 1 2
1 1 0
0 1 1
2 2 1
1 1 1
2 0 0
0 2 1
2 0 2
10 7
2 1 2
2 2 1
0 0 0
1 0 2
2 0 1
0 2 1
1 1 2
0 1 2
2 1 1
1 1 1
10 7
3 2 0
3 3 1
2 2 1
0 0 1
0 1 0
0 3 1
1 2 3
3 1 1
3 3 2
3 0 0
10 2
3 1 3
2 1 0
3 2 2
1 3 3
1 1 0
0 3 1
0 2 1
2 0 3
1 3 1
1 3 2
10 5
1 2 1
3 2 3
1 0 0
0 2 1
1 0 2
3 2 1
2 2 3
0 3 0
3 0 2
0 2 0
10 4
3 1 3
1 3 3
1 1 1
3 0 0
2 3 1
1 1 0
2 3 3
1 0 2
3 3 2
1 3 2
10 6
2 0 2
2 1 2
2 0 0
0 2 1
0 0 0
2 2 0
2 1 1
0 2 0
1 2 0
1 1 0
10 9
0 2 2
2 0 2
2 1 0
1 1 2
0 0 2
0 0 0
2 1 1
1 2 0
0 2 0
0 1 1
10 3
3 2 3
0 3 0
3 0 1
2 2 0
3 0 2
3 1 2
0 2 0
1 3 3
1 2 0
3 3 2
10 5
2 0 0
3 3 2
3 0 3
0 2 1
1 3 1
2 2 1
1 2 0
0 1 3
0 0 0
3 1 0
10 4
1 2 2
0 0 0
0 2 0
2 0 1
1 2 1
2 1 1
1 0 0
2 2 2
2 2 0
2 0 2
10 4
1 2 1
0 2 0
0 2 1
3 2 1
2 0 2
2 3 1
2 2 1
2 3 3
3 2 0
3 3 2
10 4
3 3 0
2 2 1
2 3 1
0 0 0
2 3 2
1 0 2
2 2 3
3 1 2
2 3 0
1 1 1
10 7
2 0 1
1 0 0
1 1 2
1 1 1
2 2 1
2 2 2
0 0 2
1 2 2
0 2 2
0 1 1
10 2
1 3 3
2 3 1
2 0 0
2 2 3
2 1 3
1 0 3
0 2 1
2 1 2
1 3 0
2 3 0
10 7
2 2 0
2 0 0
0 2 1
0 1 2
0 1 1
1 2 1
2 2 1
1 1 2
1 1 0
2 1 1
10 8
2 0 1
0 2 0
2 0 2
1 1 1
1 0 2
0 0 1
1 2 2
1 0 1
0 2 1
1 2 1
10 6
0 2 1
3 2 2
0 1 2
2 1 1
1 2 0
2 2 2
3 1 3
2 0 1
1 3 2
2 3 2
10 3
0 0 0
3 2 1
0 1 2
0 1 3
1 3 0
3 0 2
3 3 2
2 2 0
0 0 1
0 0 3
10 5
0 2 0
2 2 0
0 0 0
1 0 0
1 1 0
0 2 2
1 0 1
1 2 2
1 0 2
2 0 2
10 6
3 2 1
2 3 1
3 2 3
0 3 3
0 2 1
2 1 1
3 0 1
0 0 0
2 2 1
2 0 1
10 5
1 3 3
2 1 2
2 0 3
2 2 3
3 1 1
0 0 3
2 3 0
2 2 1
1 1 1
1 2 2
10 5
2 0 0
2 2 1
2 1 0
1 1 1
0 0 0
0 2 2
1 1 0
1 1 2
0 1 0
0 2 1
10 3
2 0 0
0 1 2
2 1 1
0 2 2
0 2 1
1 2 0
0 1 0
1 1 1
0 1 1
2 0 2
10 6
0 1 0
0 2 2
2 1 1
1 0 1
0 0 2
1 0 2
2 2 2
0 0 0
1 0 0
0 2 0
10 8
1 0 0
3 0 1
1 0 2
1 0 1
0 0 2
1 1 3
0 3 1
0 3 0
0 1 0
0 3 3
10 9
2 0 0
0 1 0
2 0 1
2 1 0
0 0 0
0 1 2
0 2 1
1 0 1
1 2 1
1 1 0
10 4
1 2 2
1 2 0
2 0 2
0 0 1
1 1 2
0 1 2
0 2 2
1 2 1
1 1 1
2 2 0
10 6
1 1 0
1 1 2
1 2 0
0 0 1
1 1 1
2 0 1
0 2 0
2 0 0
1 2 1
2 2 1
10 7
2 2 0
1 0 1
1 0 2
0 2 1
2 0 0
2 0 1
0 0 1
0 2 0
1 1 0
1 2 0
10 3
2 1 2
2 0 1
0 1 0
0 2 1
2 1 1
1 0 0
2 1 0
1 2 1
0 0 2
0 1 2
10 5
2 0 0
0 2 1
0 2 2
0 1 1
0 1 0
2 1 1
2 1 2
2 2 1
0 1 2
1 2 0
10 4
0 2 0
1 1 0
0 2 2
0 1 0
1 2 1
2 2 2
1 0 1
2 1 2
0 1 2
2 1 0
10 5
2 1 2
0 0 2
0 1 1
1 0 0
0 2 1
1 0 1
0 2 0
1 1 0
2 1 1
2 0 1
10 2
2 0 2
2 0 0
1 0 0
0 2 2
1 1 1
2 2 2
0 1 0
0 0 0
0 0 1
2 1 1
10 8
0 2 2
1 0 0
0 1 2
2 0 0
1 2 2
2 1 2
2 2 1
2 1 1
2 0 2
0 1 0
10 3
1 3 3
2 1 3
0 0 1
0 1 1
2 1 2
2 0 0
0 2 2
0 2 3
0 2 0
3 2 0
10 5
2 1 1
0 1 1
0 2 1
1 0 0
0 2 2
2 0 2
0 0 0
0 0 1
0 1 2
1 0 2
10 5
2 3 1
2 3 2
3 0 1
1 2 2
2 1 1
3 0 0
1 0 0
3 2 0
2 2 1
0 2 2
10 3
2 0 1
2 1 0
0 0 1
1 2 2
0 1 0
2 2 2
0 0 0
1 0 2
1 2 0
1 2 1
10 5
0 0 0
2 2 0
1 2 2
2 1 0
0 1 1
0 2 2
0 0 1
1 2 1
2 1 1
0 1 2
10 5
1 2 2
2 2 0
1 0 2
2 2 2
0 0 0
0 2 2
1 2 1
2 0 1
2 0 2
1 1 2
10 2
0 2 1
1 2 2
1 0 2
1 0 1
2 0 0
2 1 0
0 0 0
1 2 1
2 1 2
0 1 0
10 7
0 1 0
0 0 3
3 1 0
3 1 2
2 1 3
2 3 3
0 1 3
1 0 3
0 3 3
2 3 1
10 8
3 3 3
3 0 2
3 2 3
1 3 1
1 0 2
2 2 0
0 2 1
3 0 0
2 3 3
1 1 0
10 8
0 0 2
2 0 2
2 1 0
0 2 2
2 1 1
2 0 1
0 0 1
2 0 0
0 1 1
2 2 2
10 4
0 1 1
1 1 1
1 2 1
1 2 0
2 1 1
2 1 0
2 2 1
2 1 2
0 2 1
1 0 2
10 2
0 1 0
2 1 1
2 0 1
1 0 2
0 0 1
2 2 2
1 2 1
0 2 1
1 2 0
0 1 1
10 5
2 1 2
2 0 3
0 2 2
1 0 3
2 3 1
0 0 1
0 3 0
3 2 0
1 2 0
3 3 2
10 6
0 1 2
3 2 1
3 0 2
0 3 2
1 3 1
2 2 0
0 2 3
3 1 1
0 1 0
0 2 2
10 3
2 0 0
2 0 1
2 1 0
0 0 0
1 0 2
1 2 1
0 1 2
3 0 0
3 1 1
1 1 1
10 2
0 1 1
1 0 0
0 1 0
0 0 0
2 0 1
0 0 2
2 2 2
2 1 1
2 2 1
2 1 0
10 3
1 1 2
0 0 0
2 0 0
0 0 2
2 0 1
1 2 0
1 0 2
2 1 0
0 2 1
0 1 0
10 3
2 2 0
0 1 0
0 1 2
2 1 1
1 1 0
2 0 1
0 2 0
1 0 0
2 0 0
0 0 2
10 8
2 3 2
0 1 2
2 2 1
2 0 1
2 1 1
2 1 2
3 3 1
3 0 2
0 3 3
0 3 0
10 5
1 0 2
0 2 2
1 1 2
0 2 0
0 0 1
2 2 2
1 1 1
0 1 0
1 0 1
2 2 1
10 2
2 3 1
1 1 2
3 2 3
2 2 2
1 0 3
0 2 1
3 0 1
3 3 3
2 2 0
2 0 1
10 8
0 0 2
2 2 1
0 0 0
0 1 1
1 1 0
2 0 2
1 1 1
0 2 2
0 0 1
2 1 0
10 3
1 3 2
1 2 2
3 3 3
2 0 1
1 2 0
0 2 0
2 0 0
0 3 3
2 1 0
2 3 0
10 3
2 2 2
1 2 0
2 1 1
1 1 2
0 0 2
2 1 0
0 1 2
2 0 2
1 2 2
0 1 1
10 4
3 0 0
0 0 2
2 3 1
0 2 2
1 0 0
3 2 2
2 3 0
3 2 3
1 2 3
3 0 2
10 6
1 1 1
2 1 0
0 2 1
2 0 1
2 0 2
0 2 2
0 0 1
0 1 1
1 1 2
1 2 0
10 6
0 0 2
0 2 1
1 0 3
3 3 1
2 2 3
0 3 3
2 3 1
1 3 2
2 0 0
2 3 0
10 6
2 0 2
1 0 0
1 0 2
1 2 2
2 1 1
0 0 0
0 2 1
0 1 1
1 1 0
2 1 2
10 5
0 1 0
2 0 0
1 0 0
1 1 1
0 0 1
2 1 2
1 1 0
0 2 2
0 1 2
1 2 0
10 6
2 0 1
1 2 0
0 1 0
2 2 1
2 2 0
0 2 2
0 2 1
1 0 2
1 1 2
2 0 0
10 2
3 1 3
2 2 0
0 1 2
1 3 0
2 2 3
0 3 2
1 3 3
1 3 2
1 2 1
1 1 1
10 9
1 0 2
2 0 0
2 1 0
1 1 2
0 1 2
0 1 0
0 0 2
2 2 0
1 0 0
1 1 1
10 8
1 0 3
3 3 1
0 1 0
3 2 1
3 3 2
2 0 0
1 2 2
0 2 1
0 2 2
2 0 1
10 7
1 0 1
3 3 3
2 1 0
2 2 0
3 3 1
0 0 1
2 3 2
1 2 0
1 2 1
2 0 0
10 4
1 2 3
3 3 1
3 2 3
3 3 0
1 3 0
0 3 3
0 0 1
2 1 3
0 2 3
0 3 2
10 7
1 2 2
0 1 3
1 0 3
2 2 2
0 3 0
3 1 0
3 3 0
0 3 2
1 2 0
0 2 1
10 5
1 2 0
2 0 0
1 2 2
0 1 2
2 0 2
1 0 1
0 1 0
0 2 0
0 0 2
1 1 1
10 9
3 3 3
2 2 2
0 0 3
3 1 0
2 3 0
1 2 1
3 2 0
2 2 0
3 0 0
3 1 1
10 6
1 1 2
1 1 1
1 0 2
2 2 0
0 1 0
0 0 0
0 1 2
1 2 2
0 1 1
2 0 1
10 4
0 0 1
1 1 0
1 1 2
1 2 2
0 1 1
0 0 2
1 1 1
2 0 2
0 2 2
1 0 1
10 7
0 3 0
3 3 1
3 3 2
2 1 0
0 1 2
2 0 2
1 1 1
1 2 0
1 3 1
1 1 2
10 6
1 1 2
2 1 1
0 1 0
1 0 0
1 2 3
3 2 0
0 1 1
2 0 0
1 3 1
3 1 3
10 8
1 1 1
0 0 2
2 1 2
0 0 1
1 2 1
1 1 0
2 2 1
1 1 2
0 1 0
0 2 0
10 6
1 1 3
0 1 1
3 0 1
3 3 0
2 2 2
0 3 0
2 2 3
1 2 3
0 3 1
1 0 0
10 9
1 1 2
0 1 0
2 2 0
0 0 2
1 1 1
1 2 1
2 0 2
1 1 0
2 1 2
2 2 1
10 9
0 1 0
1 0 2
0 2 1
1 1 1
2 0 1
1 0 1
2 1 0
2 0 0
0 1 1
0 1 2
10 5
2 3 3
1 0 3
2 0 2
2 1 0
1 3 2
1 1 2
3 3 0
3 3 3
0 1 2
3 2 0
10 2
2 1 2
1 1 2
0 2 2
0 0 2
0 0 1
2 2 2
0 0 0
1 0 2
0 2 1
2 0 1
10 9
0 0 0
2 1 1
0 2 1
2 1 0
1 2 1
1 0 1
2 1 2
2 2 0
2 0 1
2 2 1
10 5
0 0 2
0 1 3
2 3 0
1 3 0
3 0 3
2 2 3
3 3 1
2 0 0
1 2 3
0 3 2
10 8
1 3 3
0 0 3
0 1 1
2 3 3
0 0 2
0 2 0
0 0 0
1 0 1
3 3 0
1 1 1
10 7
0 3 0
0 0 3
2 3 1
0 0 0
3 2 1
3 0 2
1 3 0
0 0 2
0 1 1
3 0 1
10 6
2 1 1
0 1 2
2 1 2
1 0 0
1 2 1
2 2 1
1 2 2
0 2 1
2 0 2
0 0 1
10 7
2 0 2
2 2 3
3 1 3
1 2 2
0 3 2
0 0 2
3 2 3
3 0 0
1 0 1
1 0 3
10 2
2 2 0
0 2 0
0 0 2
2 0 2
1 2 1
0 0 1
2 1 1
2 1 2
0 2 2
2 1 0
10 7
0 0 0
1 1 0
2 2 2
2 1 0
1 2 0
2 1 1
1 1 2
2 0 1
1 0 1
1 2 1
10 4
3 2 2
0 1 1
2 3 0
1 0 3
2 3 1
2 3 3
0 2 2
1 3 3
1 2 3
3 2 1
10 5
0 0 2
1 2 0
0 2 2
1 0 0
0 2 0
2 0 1
2 1 1
1 0 2
0 1 0
0 1 1
10 7
0 1 1
0 2 2
2 1 2
1 0 0
1 0 2
2 2 2
2 0 2
2 0 1
0 2 0
2 2 0
10 2
2 3 1
3 3 2
3 0 1
1 3 3
1 0 0
1 1 3
3 2 1
2 2 2
1 1 1
0 2 1
10 7
0 1 0
0 1 1
0 1 2
1 2 2
0 0 1
2 0 2
2 1 2
0 2 2
1 2 1
0 2 1
10 2
2 3 0
0 3 0
3 0 0
0 2 1
1 0 1
2 1 3
0 2 0
1 1 1
2 2 1
2 3 1
10 5
1 3 3
1 1 2
2 3 2
0 2 3
3 2 1
0 3 3
0 3 1
1 3 1
0 1 3
2 1 3
10 8
3 0 0
3 2 0
0 0 1
0 1 1
2 3 3
0 2 3
0 3 1
2 2 2
0 2 1
1 1 1
10 5
2 3 2
0 2 2
0 2 1
3 2 0
1 0 3
2 3 3
3 3 1
2 0 1
2 2 0
3 0 2
10 8
2 2 0
0 0 2
2 1 0
1 0 0
1 0 1
1 1 2
2 1 1
0 1 0
2 0 0
2 0 1
10 7
1 3 3
1 0 1
1 2 2
2 0 1
1 2 1
3 2 0
0 2 0
0 1 1
2 0 0
0 0 0
10 9
3 0 0
1 1 0
2 0 2
3 1 1
1 0 2
3 1 2
3 0 3
3 3 1
2 0 1
3 1 0
10 3
1 2 1
0 3 3
3 0 3
2 3 2
3 2 3
1 3 3
2 1 0
1 3 1
3 0 0
1 0 2
10 2
3 0 1
2 1 3
1 3 2
0 1 1
3 1 2
2 1 1
1 3 0
0 0 0
1 1 1
3 2 0
10 2
0 2 1
2 1 0
0 2 0
1 2 0
1 2 2
1 1 1
2 1 2
0 2 2
0 1 0
2 2 1
10 3
1 3 2
0 1 2
3 0 3
2 3 3
2 0 0
1 0 2
3 3 3
3 1 1
3 0 0
1 1 1
10 4
1 2 2
1 2 1
0 0 1
0 1 2
2 2 0
0 1 1
0 0 2
0 0 0
0 1 0
0 2 1
10 4
0 1 0
0 0 2
0 2 1
3 3 1
3 1 1
2 2 3
3 0 2
1 1 1
0 1 2
1 0 1
10 5
1 1 1
0 1 0
0 1 1
0 0 0
2 2 0
0 0 2
2 0 1
2 2 1
0 1 2
0 2 2
10 3
3 1 3
3 2 0
0 0 2
3 3 0
2 1 2
2 3 2
2 2 0
3 0 0
0 3 0
2 1 1
10 3
0 0 0
2 1 1
0 2 1
1 2 1
0 2 0
1 1 0
0 2 2
2 2 2
2 2 1
0 0 1
10 9
2 0 2
0 1 0
0 2 2
1 2 2
2 1 0
2 0 1
0 2 0
1 2 1
1 1 2
1 0 0
10 4
3 0 2
2 2 2
0 1 1
3 1 1
2 2 3
3 0 3
1 0 3
1 1 3
0 2 0
3 2 1
10 4
2 2 2
1 2 1
1 0 1
2 0 2
1 0 2
1 1 2
0 2 0
0 0 2
2 0 0
2 0 1
10 6
2 2 3
2 2 2
0 0 2
0 1 2
1 2 0
1 2 2
3 0 2
0 3 3
2 1 1
2 1 0
10 2
1 0 0
1 0 2
2 3 3
0 0 2
1 1 1
0 3 0
1 0 3
2 1 3
1 3 3
3 1 1
10 9
0 2 3
3 0 3
1 2 1
3 3 3
2 0 2
1 2 2
3 3 1
0 3 3
1 0 1
0 2 2
10 6
0 2 1
2 0 2
1 0 2
1 0 0
0 1 0
1 1 1
2 2 1
2 1 2
0 1 2
1 1 0
10 6
0 2 1
1 1 2
0 0 2
1 1 1
2 0 2
0 1 2
1 2 1
0 2 2
1 0 0
0 1 0
10 5
1 1 0
2 0 0
1 0 2
1 0 0
0 0 2
2 1 2
2 0 1
2 1 1
1 1 1
0 0 1
10 2
2 1 2
2 3 1
0 3 1
0 2 2
2 3 3
1 0 0
2 0 1
1 2 2
0 0 1
2 2 2
10 3
2 2 2
2 1 1
0 2 0
0 1 1
2 2 0
0 1 0
2 0 2
2 1 2
0 1 2
1 2 1
10 2
2 1 0
2 2 0
1 1 2
0 1 0
2 0 2
1 2 0
2 2 1
0 2 1
1 0 0
2 0 0
10 4
2 2 2
2 0 3
1 2 3
2 2 1
0 1 2
2 1 0
2 3 1
3 0 0
1 2 2
0 3 0
10 5
2 1 1
0 0 2
0 1 1
0 1 2
1 0 2
2 2 0
1 0 0
0 0 1
2 2 1
2 2 2
10 5
1 2 1
1 1 2
0 2 0
2 2 2
2 1 0
2 2 1
0 2 1
1 0 2
2 1 1
1 1 0
10 3
0 0 0
1 1 1
2 2 1
2 1 2
1 2 0
0 1 0
0 0 2
1 1 2
2 2 2
1 0 0
10 5
2 3 1
0 1 2
0 3 3
1 3 3
1 2 2
1 3 2
1 0 2
3 3 1
1 1 3
3 0 3
10 7
1 1 2
1 1 1
0 2 2
2 2 2
1 2 0
2 1 0
0 0 0
2 0 1
1 0 1
2 1 2
10 2
1 2 1
2 1 2
3 1 2
0 1 1
3 2 3
1 3 0
1 0 1
1 0 0
0 1 0
3 2 1
10 4
1 1 0
1 0 1
1 2 0
2 0 2
0 0 2
1 1 1
0 1 1
1 0 2
0 2 1
2 0 0
10 9
0 1 1
0 1 0
2 0 2
0 2 2
2 0 0
1 1 2
0 1 2
1 1 1
2 2 0
1 0 1
10 8
1 0 2
3 3 2
2 0 3
1 2 2
3 0 0
2 1 3
1 1 2
3 1 1
2 2 3
0 3 0
10 7
2 1 1
0 2 1
2 2 2
2 0 0
1 2 0
2 1 2
2 0 2
0 0 2
1 0 0
1 0 2
10 9
0 0 3
0 3 0
1 0 3
0 1 0
3 2 0
1 3 0
1 2 0
2 2 0
3 0 1
2 1 2
10 5
2 1 2
1 1 3
1 3 1
0 0 3
0 0 0
3 3 0
1 0 0
1 2 2
0 1 0
3 2 3
10 6
1 2 0
1 2 2
0 2 0
0 0 0
0 3 1
2 3 1
1 1 2
0 1 1
1 3 3
2 3 0
10 9
0 3 0
3 0 2
0 0 0
0 1 2
3 2 0
0 3 3
2 2 1
1 2 3
3 0 1
3 1 3
10 8
0 3 0
3 2 2
1 1 2
2 0 0
1 3 3
0 0 2
2 3 0
3 0 2
0 3 1
0 3 2
10 4
2 2 0
0 1 1
0 2 0
0 2 1
2 0 2
1 1 0
2 1 1
1 0 2
1 2 1
2 0 1
10 4
1 2 1
3 3 1
2 3 0
1 3 2
3 1 2
3 2 2
0 3 0
0 2 0
1 1 1
0 1 2
10 5
3 2 3
3 2 1
1 0 2
0 0 0
0 0 3
3 0 2
1 2 1
1 1 1
3 2 0
3 3 1
10 2
1 0 1
2 1 1
0 3 3
3 3 3
1 1 3
2 2 1
2 3 3
0 3 2
1 2 1
2 3 0
10 4
0 0 2
1 2 0
1 0 0
1 0 1
1 1 2
0 1 1
0 1 0
1 1 1
2 1 0
2 2 0
10 8
0 0 2
2 3 3
2 0 2
0 1 2
3 1 0
2 0 1
3 3 3
2 2 0
1 0 2
0 1 0
10 5
1 2 1
0 1 1
2 1 2
2 2 0
0 0 1
1 2 2
1 0 2
2 0 1
1 0 1
1 0 0
10 4
2 1 2
0 0 2
2 0 1
2 2 0
1 1 0
0 2 1
2 1 1
0 0 0
0 1 0
1 0 0
10 8
1 0 0
1 2 0
0 0 0
0 2 2
2 0 0
0 0 1
2 1 2
1 1 0
1 0 2
0 1 1
10 9
0 0 1
2 2 2
2 2 1
0 1 0
1 1 0
1 2 2
0 2 0
2 1 2
2 0 0
1 0 1
10 9
0 3 3
2 2 3
2 0 1
1 2 1
2 0 2
2 2 2
0 3 2
2 0 0
2 1 1
3 2 1
10 9
1 2 0
1 1 0
0 3 3
2 2 1
1 3 1
0 2 3
1 1 3
1 3 0
2 0 2
0 3 1
10 9
0 1 1
0 2 1
0 0 0
2 2 2
1 0 1
0 1 2
0 2 0
1 1 0
2 1 2
1 2 0
10 4
2 3 2
0 3 0
3 2 1
1 2 1
0 0 3
1 3 1
0 0 0
0 1 0
2 0 3
1 2 3
10 2
2 3 0
1 1 0
1 0 0
2 3 1
2 0 0
2 0 3
1 2 2
2 1 2
0 3 1
0 2 3
10 3
0 0 1
3 2 3
3 3 2
1 2 0
0 1 0
1 2 3
1 1 3
0 2 2
0 0 2
3 1 0
10 5
3 3 3
3 0 0
1 2 2
0 1 2
0 0 2
0 3 3
3 1 3
3 0 2
2 0 3
3 3 0
10 2
0 0 0
1 0 1
2 2 0
1 1 2
2 0 0
0 2 1
0 2 2
2 1 1
0 2 0
2 1 2
10 5
3 1 0
1 3 2
3 3 2
2 2 3
0 1 0
1 1 1
2 1 1
0 3 1
0 3 2
2 0 1
10 9
0 0 0
2 0 1
1 0 1
2 1 1
1 1 1
0 1 1
0 0 1
2 1 2
2 2 1
0 2 2
10 4
0 0 3
0 3 3
1 1 0
1 3 0
3 1 2
0 1 2
1 2 2
1 3 3
0 2 1
2 2 2
10 6
0 3 2
0 1 0
1 3 1
2 0 3
3 2 2
2 1 1
3 3 2
1 1 0
3 2 3
2 2 1
10 6
2 2 3
2 0 3
0 0 1
2 2 1
1 2 1
0 0 3
3 3 0
1 0 1
1 0 3
0 1 0
10 5
1 1 0
2 2 3
0 3 2
3 3 3
0 3 1
1 0 0
2 2 0
0 1 1
0 0 2
3 1 0
10 4
0 1 3
1 0 3
0 2 0
0 3 0
0 0 3
2 3 1
1 0 2
3 3 3
3 1 3
3 2 2
10 9
0 1 2
3 3 3
0 0 1
1 1 3
2 2 3
1 2 3
2 2 2
0 1 3
1 0 3
0 0 3
10 4
0 0 0
1 2 0
1 0 0
0 0 2
1 2 1
2 1 2
1 1 1
2 0 2
1 0 2
2 1 0
10 8
0 1 2
2 2 1
2 1 0
2 1 1
2 0 3
0 3 0
0 3 3
0 1 0
0 2 1
1 3 3
10 8
0 2 3
3 3 3
0 2 0
2 2 2
0 1 0
3 1 2
3 3 2
1 2 2
2 1 2
3 1 3
10 2
0 1 0
3 0 1
3 3 2
0 3 2
0 0 1
0 1 1
3 0 0
1 0 2
3 2 3
1 1 0
10 2
3 2 1
1 3 0
2 1 3
3 2 2
2 1 1
2 2 3
3 1 1
3 3 1
2 3 1
0 1 1
10 3
2 1 2
1 1 2
2 2 1
0 0 2
0 2 2
0 2 0
1 2 0
2 1 0
2 0 0
1 2 1
10 3
0 1 2
2 1 0
0 0 0
2 0 2
1 0 2
0 1 1
1 0 1
2 2 2
2 1 1
1 2 0
10 3
2 1 0
1 1 2
0 1 0
2 0 2
1 2 1
3 1 2
3 0 3
1 0 3
0 0 1
3 3 2
10 7
0 1 1
0 0 1
2 1 2
0 2 2
2 0 2
0 0 2
2 2 1
0 2 1
1 0 0
2 1 1
10 7
2 0 0
2 0 3
0 3 3
1 3 0
3 0 2
2 1 0
1 2 0
1 1 2
0 1 2
2 2 3
10 9
0 2 1
1 1 1
0 2 2
1 0 1
1 0 2
2 1 2
2 2 2
1 1 0
1 2 1
0 1 1
10 3
1 1 2
2 1 2
2 3 2
0 0 2
2 1 3
2 0 0
1 0 2
1 0 1
2 2 2
0 1 3
10 8
2 2 1
1 2 2
1 1 1
0 1 1
3 1 0
3 3 2
3 2 1
3 0 1
0 0 3
2 2 3
10 4
0 1 1
2 0 3
2 2 1
1 3 2
3 0 3
3 3 2
1 2 1
0 3 0
3 2 1
1 2 2
10 2
0 1 2
3 0 3
1 0 0
0 0 1
3 1 2
3 2 1
1 0 3
0 1 3
2 2 3
2 1 3
10 5
0 2 1
2 1 0
1 0 1
0 0 0
0 1 2
0 2 2
2 1 1
2 2 0
2 0 2
2 2 1
10 9
1 2 1
0 1 2
0 0 0
2 2 1
2 0 2
2 1 0
1 0 0
1 1 1
1 1 0
1 2 2
10 3
3 2 2
1 3 0
0 3 3
0 2 3
2 2 1
1 1 3
1 2 2
0 0 3
0 2 0
2 3 2
10 5
3 0 1
0 2 3
0 0 3
0 2 2
3 3 1
3 1 2
0 2 0
1 3 1
0 3 2
1 2 0
10 2
1 0 2
0 2 0
0 2 2
0 0 0
0 1 0
0 1 1
1 2 1
0 0 2
1 0 0
2 2 1
10 3
1 0 1
1 1 0
1 1 1
2 2 0
2 1 1
0 2 0
1 2 2
2 2 2
1 2 0
0 0 2
10 8
3 1 0
2 0 1
3 2 1
2 2 1
3 3 2
1 3 1
3 0 0
3 3 3
0 0 2
2 0 3
10 9
2 1 2
2 2 1
1 1 2
0 2 1
2 1 0
2 0 0
2 0 1
2 2 0
1 0 1
0 2 2
10 2
1 0 2
0 0 0
2 1 2
2 2 0
0 0 2
2 1 1
0 1 0
0 2 0
0 1 1
2 0 2
10 4
1 0 0
1 2 0
3 3 3
3 1 3
1 1 1
0 1 1
1 2 2
0 3 3
1 3 2
2 1 2
10 7
0 2 0
2 1 2
1 2 0
1 0 0
0 0 2
2 2 2
2 2 1
2 0 0
2 2 0
1 1 1
10 2
2 0 0
1 0 0
1 0 2
0 2 1
0 0 2
2 0 1
1 1 1
1 1 2
2 2 1
0 1 2
10 7
0 0 1
2 0 3
3 3 2
3 2 0
0 3 2
1 3 1
2 0 0
0 1 3
1 0 2
3 3 3
10 5
2 2 1
1 1 1
1 2 2
0 1 2
1 0 2
0 2 0
1 2 0
2 2 2
2 1 0
1 0 0
10 6
2 0 2
1 0 1
2 1 1
1 0 2
1 1 2
1 2 1
2 2 2
0 2 0
1 1 0
2 1 0
10 7
2 2 0
2 0 0
2 1 2
1 2 1
0 0 0
0 2 1
0 1 0
0 1 1
2 2 2
2 2 1
10 8
0 2 0
0 3 2
2 3 2
1 1 0
2 0 3
0 1 1
0 1 2
1 1 1
2 1 3
3 0 3
10 4
1 0 2
0 2 2
2 1 0
1 2 1
1 1 2
0 0 1
1 1 1
2 0 0
0 2 1
1 0 0
10 4
2 3 2
3 0 1
3 2 2
2 1 3
0 2 3
3 1 1
3 2 1
0 1 1
2 0 2
1 0 0
10 3
1 0 0
0 0 0
2 0 2
1 1 2
0 0 2
1 1 1
1 0 2
2 1 1
1 2 2
1 2 0
10 4
0 1 0
1 2 2
2 1 0
0 2 0
1 0 1
0 1 2
0 2 1
2 1 1
2 1 2
1 1 1
10 6
0 2 1
2 0 1
0 0 2
1 1 0
1 2 1
2 2 0
0 0 0
1 2 2
0 1 1
1 2 0
10 7
0 2 2
0 3 2
3 1 3
3 1 0
2 0 1
2 2 3
0 0 1
1 3 3
2 1 3
0 1 2
10 3
1 0 0
2 2 1
0 1 1
2 1 0
2 0 0
0 1 0
1 2 1
1 1 1
2 0 2
2 1 1
10 9
0 2 1
0 1 0
2 0 1
1 0 2
0 2 0
2 2 1
0 1 1
1 1 2
1 2 1
1 0 1
10 6
3 1 3
2 3 2
3 3 3
2 3 1
0 1 0
0 2 2
0 1 3
2 3 0
0 0 2
1 3 2
10 4
3 0 1
2 2 3
0 1 1
1 1 2
2 1 2
1 1 3
2 1 3
1 3 1
1 1 1
1 3 3
10 2
2 2 2
0 3 1
2 0 2
0 1 1
3 1 1
3 0 2
0 3 3
0 2 3
3 0 3
0 3 2
10 4
3 1 1
2 0 2
2 3 0
2 1 1
3 0 1
2 2 3
1 2 3
0 3 0
1 3 2
0 0 1
10 7
2 1 2
0 0 0
0 1 3
1 3 0
0 2 3
2 1 3
3 3 3
1 1 2
3 1 0
0 3 0
10 2
1 0 1
2 1 1
0 1 1
1 2 1
0 0 0
0 2 0
2 2 2
1 2 2
2 1 0
0 0 2
10 6
3 1 2
2 3 0
3 3 2
1 2 0
1 1 3
0 0 0
0 3 1
0 2 1
0 3 0
0 1 3
10 8
2 0 1
2 0 0
0 2 1
1 2 1
0 2 0
0 1 0
0 1 1
1 1 2
2 1 2
0 0 0
10 8
2 0 0
1 1 0
1 2 1
1 1 2
2 2 0
2 2 1
2 0 1
1 0 2
2 1 1
0 1 1
10 2
1 0 0
1 1 2
0 2 1
1 2 0
2 2 1
2 0 0
2 1 0
2 1 2
2 0 1
1 2 1
10 3
1 1 2
0 2 2
0 0 2
1 2 2
1 0 1
1 2 0
0 2 1
0 2 0
0 1 1
1 2 1
10 4
1 1 0
1 1 1
1 1 2
2 2 0
0 2 2
2 1 2
2 1 1
1 0 1
0 1 1
0 0 2
10 4
2 0 2
2 0 0
1 0 2
0 0 1
0 1 1
1 0 1
2 1 2
1 1 2
2 2 2
0 0 0
10 9
1 0 1
0 2 2
2 0 0
0 1 0
1 2 0
1 2 1
2 0 2
2 1 1
1 1 1
1 1 2
10 4
2 1 0
2 2 1
1 2 2
1 0 0
0 1 1
1 2 0
2 2 2
1 1 1
2 0 1
2 1 1
10 8
1 3 2
2 3 2
3 3 1
1 1 3
3 3 2
0 0 0
2 2 1
0 0 2
2 0 2
2 1 1
10 3
1 0 1
3 0 0
3 1 2
2 2 1
2 2 0
0 0 3
0 2 0
2 2 2
3 2 0
3 1 0
10 6
0 2 1
2 1 0
1 1 1
0 1 1
1 2 1
1 0 1
2 0 1
0 2 2
0 0 1
0 1 2
10 8
0 1 1
0 3 3
1 0 3
3 0 3
0 2 2
1 1 1
2 3 3
0 2 0
1 0 1
0 1 0
10 4
2 0 1
2 0 2
2 2 0
1 1 1
2 1 1
0 0 1
0 2 2
1 0 0
0 0 0
1 1 2
10 9
2 0 1
2 1 0
2 0 0
0 1 0
1 0 0
1 1 1
0 2 0
2 2 2
0 1 1
0 0 1
10 3
3 2 1
0 0 2
3 2 3
1 0 0
1 3 3
3 1 3
3 0 1
3 2 0
1 1 1
2 2 0
10 5
3 2 0
3 1 3
0 3 1
1 1 0
1 1 2
2 2 3
1 2 0
2 3 2
2 2 0
1 3 0
10 4
2 3 2
0 3 3
1 2 2
1 1 3
0 1 1
1 0 0
0 2 1
0 2 3
3 1 2
0 0 2
10 2
2 2 1
0 1 0
1 0 0
1 1 0
2 0 2
1 2 2
0 1 1
2 1 2
2 1 0
0 0 1
10 8
3 3 2
1 3 2
1 0 3
1 0 1
1 1 2
1 2 2
0 1 1
3 1 2
2 3 3
0 2 3
10 6
2 2 2
2 1 1
2 0 1
1 0 1
1 2 1
0 2 1
0 1 0
1 0 0
2 1 0
2 0 2
10 5
1 1 1
1 0 2
1 0 1
0 1 0
2 1 2
2 2 0
1 2 0
2 2 1
2 1 1
2 0 2
10 4
0 2 2
1 3 2
0 2 0
2 0 3
1 1 2
3 2 1
1 2 2
1 2 3
1 0 1
3 3 3
10 7
2 3 0
3 0 2
3 0 1
2 0 3
0 2 2
3 1 3
3 2 1
1 1 1
2 1 3
3 2 2
10 5
2 0 0
1 0 0
2 1 2
2 1 0
0 2 1
0 1 2
2 2 0
1 1 2
1 1 0
1 2 0
10 4
0 0 1
0 0 0
2 1 2
2 2 2
2 0 0
1 2 0
1 0 2
0 2 2
1 2 2
2 1 1
10 4
2 0 1
1 0 0
0 1 0
1 0 1
2 0 2
1 1 1
0 2 1
1 1 2
0 2 0
0 1 2
10 7
0 1 1
2 1 1
1 0 0
2 2 1
1 1 1
0 1 0
1 0 2
1 2 1
2 0 0
1 1 0
10 4
1 0 0
1 1 0
3 3 3
3 2 3
1 0 2
1 0 1
3 3 1
0 3 0
0 2 3
1 1 3
10 5
3 2 2
1 2 2
2 0 0
3 2 0
3 3 3
0 1 1
3 0 3
1 0 0
0 0 1
0 0 2
10 6
0 0 0
1 0 1
0 2 2
1 0 0
2 2 1
2 1 0
0 1 1
2 3 1
3 3 0
3 2 0
10 7
0 2 2
0 0 1
2 1 2
1 0 0
1 2 2
1 2 1
1 0 1
0 2 1
1 0 2
0 0 0
10 7
0 1 0
0 2 2
1 0 0
1 0 2
0 1 2
2 0 1
2 2 2
2 1 0
2 1 1
2 2 0
10 3
1 2 3
3 0 0
3 3 2
3 2 1
3 0 2
1 2 1
2 2 3
3 2 2
3 3 1
1 2 0
10 9
2 3 0
2 1 0
3 3 1
1 3 0
0 3 2
0 2 1
2 0 3
2 0 2
2 1 1
2 2 0
10 8
2 1 0
1 2 0
0 0 1
1 2 1
2 0 1
2 2 0
1 1 0
2 2 1
0 2 1
0 0 0
10 7
0 1 0
1 0 2
1 2 0
2 0 2
1 1 2
1 2 1
0 0 1
0 0 0
2 2 0
1 1 0
10 7
1 2 1
3 3 1
1 0 3
1 0 2
0 0 0
0 1 3
3 3 3
3 2 1
1 1 1
3 1 2
10 3
2 0 2
1 1 2
0 1 0
1 1 1
2 1 2
2 1 1
2 0 1
2 2 0
0 2 1
1 0 1
10 3
1 1 1
1 2 1
1 0 2
1 2 2
0 2 2
2 0 2
2 0 1
2 2 0
1 1 2
2 1 2
10 2
0 1 0
0 2 2
0 2 1
2 1 2
0 1 2
2 2 1
2 1 1
1 2 0
1 1 1
2 2 0
10 6
1 1 0
1 0 0
2 0 0
2 0 1
2 1 2
0 1 2
2 1 1
0 0 2
0 0 0
2 2 2
10 4
1 1 3
0 0 1
3 1 2
2 3 1
0 1 0
1 3 1
1 0 1
0 0 3
1 0 0
2 3 3
10 6
1 0 2
1 3 3
0 0 0
0 1 1
2 2 2
2 0 3
0 1 0
0 0 2
2 3 1
2 3 0
10 5
2 0 2
0 2 1
1 1 2
2 0 1
2 1 0
1 0 2
1 1 1
0 2 2
0 1 1
0 0 1
10 9
2 3 0
1 3 0
2 0 2
0 3 0
1 3 3
3 2 3
0 2 1
2 0 0
0 3 2
0 3 1
10 6
2 1 2
1 1 1
2 2 0
0 0 1
1 2 0
0 2 0
1 2 1
1 1 2
2 2 1
0 2 1
10 5
1 3 0
3 0 3
1 2 1
2 3 2
0 3 1
0 2 0
3 1 2
2 1 0
3 3 2
2 1 2
10 5
1 1 3
3 0 2
1 0 3
2 3 1
1 1 0
2 3 2
0 0 2
1 2 1
1 1 2
1 3 2
10 3
1 0 2
3 1 0
0 2 0
3 3 0
0 1 1
0 0 2
2 1 3
2 1 1
0 1 3
2 1 0
10 2
1 3 1
2 2 3
2 1 2
2 0 0
2 1 3
0 0 2
2 1 0
2 2 2
3 3 0
3 2 3
10 3
0 2 3
2 3 2
0 3 0
0 2 1
1 3 3
0 2 2
3 2 0
0 1 1
2 1 1
2 1 2
10 9
3 1 1
2 2 2
0 2 3
0 3 0
1 1 2
2 3 1
2 3 0
2 1 3
3 3 3
1 3 2
10 3
2 1 0
0 1 2
1 0 0
1 0 1
2 2 0
2 2 1
1 2 2
1 1 0
0 2 1
1 1 1
10 4
1 1 1
2 2 2
0 2 3
3 2 3
1 0 2
2 2 3
3 3 2
2 0 3
2 3 0
0 3 1
10 5
2 1 2
2 1 0
0 2 2
1 2 0
2 0 2
2 2 0
0 0 2
0 2 0
2 1 1
1 0 2
10 5
3 2 3
2 1 1
3 1 0
0 1 1
2 2 2
2 1 2
2 0 2
1 1 3
1 1 1
2 1 3
10 5
0 0 2
1 0 0
2 0 2
0 0 1
2 1 2
2 1 0
1 2 0
1 1 0
0 1 0
0 2 1
10 9
1 2 2
0 1 3
0 2 0
2 1 1
1 0 3
0 3 1
0 2 3
2 0 1
3 1 0
2 1 3
10 3
1 0 1
2 0 2
1 0 0
1 1 2
0 0 1
2 2 0
1 1 0
0 2 1
0 0 0
0 0 2
10 8
0 2 0
0 0 3
0 3 0
1 0 3
0 1 3
1 2 2
2 1 2
3 2 3
3 0 3
0 0 0
10 9
2 2 0
2 1 0
1 1 1
2 1 1
1 0 2
2 2 1
2 0 1
2 1 2
1 2 0
0 0 2
10 4
0 0 0
2 0 0
1 1 0
0 2 0
1 0 1
2 0 1
2 1 1
0 2 2
1 1 1
2 1 2
10 2
0 0 0
0 2 0
0 0 2
2 1 2
2 2 2
0 1 2
1 0 2
2 0 1
2 0 2
1 0 0
10 2
1 2 0
1 3 1
2 3 1
2 0 3
1 0 2
2 0 0
0 2 0
1 1 0
3 0 1
0 3 1
10 6
1 1 0
1 0 1
2 2 2
1 2 0
0 0 0
0 2 2
2 2 0
0 0 2
0 1 2
1 2 2
10 2
1 0 3
0 2 0
0 0 1
0 0 2
3 0 3
2 2 1
1 1 3
1 2 3
1 2 2
3 0 2
10 3
2 2 0
0 2 1
1 2 1
1 2 0
2 2 2
0 2 0
1 0 0
0 1 2
0 0 1
1 0 1
10 4
2 1 0
0 0 1
2 0 2
2 0 0
1 2 1
1 1 2
2 2 2
0 1 2
2 0 1
1 0 0
10 2
0 1 1
1 1 2
0 0 2
1 0 2
1 1 1
2 2 2
2 2 0
2 0 0
1 2 1
0 0 0
10 8
2 0 0
3 1 0
3 2 3
2 1 1
2 3 3
3 1 3
3 2 2
2 0 2
3 3 1
3 0 0
10 3
1 1 3
1 1 2
0 3 0
0 0 2
3 2 1
1 2 2
3 1 3
1 3 2
2 3 0
1 2 3
10 9
2 0 0
0 2 2
0 2 1
2 2 1
1 0 0
2 0 2
2 2 2
0 0 0
2 2 0
0 1 2
10 6
3 1 2
3 3 1
3 2 1
0 0 3
3 0 1
2 0 0
2 3 2
1 1 0
1 0 0
1 3 1
10 7
0 2 0
2 1 1
2 0 1
2 0 2
2 2 1
1 1 0
2 1 0
1 0 2
0 1 1
1 0 0
10 9
3 1 3
1 3 2
3 1 1
1 2 2
2 1 2
3 3 2
0 3 1
3 2 3
1 3 0
3 3 3
10 2
3 2 0
2 3 1
3 2 1
2 2 0
3 0 1
3 1 2
2 2 1
1 2 1
0 1 0
1 2 2
10 5
0 1 2
0 0 3
1 3 2
1 2 3
3 3 2
3 2 1
3 3 3
2 2 3
0 3 2
0 2 0
10 9
1 2 2
0 1 2
2 0 2
1 1 0
0 0 1
2 0 0
2 0 1
1 2 0
0 0 2
0 2 1
10 2
3 3 0
1 3 3
1 0 3
0 3 2
1 1 2
0 2 2
0 1 1
0 2 3
3 2 3
3 3 2
10 7
0 0 0
0 0 1
1 2 2
0 1 2
1 1 2
0 1 1
1 1 1
1 0 1
2 1 2
2 1 0
10 8
1 0 2
1 0 1
2 1 2
2 1 1
0 1 1
2 2 2
2 2 1
0 1 0
2 1 0
0 0 2
10 7
0 2 2
0 1 2
2 0 0
2 1 2
2 1 0
1 0 2
0 0 2
2 1 1
1 2 2
1 0 1
10 4
0 0 1
2 0 1
0 1 0
0 2 0
3 3 1
3 0 2
0 1 2
3 0 1
1 3 1
3 1 2
10 2
3 3 2
0 0 0
1 0 3
2 3 2
0 0 2
1 3 0
3 3 1
2 0 2
0 3 3
1 2 1
10 6
2 0 1
2 1 0
1 2 0
2 1 2
0 2 0
0 0 1
0 1 1
0 0 2
1 0 1
2 2 2
10 5
0 2 2
1 2 1
0 1 2
0 1 0
1 1 1
1 0 2
0 0 1
2 2 2
2 2 1
0 2 1
10 5
1 2 0
2 1 2
2 1 0
1 0 0
2 0 1
0 2 0
2 2 0
1 0 2
1 1 0
1 1 1
10 9
1 2 0
0 2 0
1 1 1
0 2 1
2 1 0
0 0 0
0 0 1
1 0 0
2 0 1
2 1 2
10 9
1 1 1
0 2 1
0 0 2
1 0 2
0 1 1
2 2 0
0 0 0
2 0 0
1 1 2
2 1 2
10 4
1 2 0
3 0 0
0 1 2
2 3 1
1 3 2
1 0 0
2 1 1
3 3 2
1 0 1
3 1 0
10 7
1 2 3
0 2 0
1 1 1
2 1 3
3 2 3
3 3 2
1 0 1
2 2 2
2 0 2
0 1 1
10 4
0 1 2
1 0 2
1 2 1
2 2 2
0 2 1
1 1 0
1 1 2
1 1 1
0 0 1
2 2 0
10 2
0 2 2
1 0 1
1 0 2
0 1 0
0 2 1
1 2 2
1 0 0
2 0 1
1 2 1
1 1 1
10 2
1 0 0
1 2 0
2 2 2
0 0 1
3 3 1
0 3 0
3 0 3
0 3 3
1 1 3
2 1 0
10 7
0 3 1
2 0 2
3 0 1
2 0 1
0 3 3
0 1 3
2 1 2
3 1 1
1 0 2
1 3 3
10 6
1 1 2
0 1 0
1 3 2
1 3 1
2 1 1
3 1 0
1 2 0
1 2 2
2 3 0
0 2 1
10 9
2 0 0
0 2 1
0 2 0
0 2 2
1 2 1
1 2 0
0 1 0
2 1 2
0 0 1
0 1 2
10 9
0 1 2
0 2 2
2 1 0
2 1 2
0 2 1
0 0 1
0 0 2
2 2 1
0 1 0
2 0 0
10 8
2 1 0
2 1 1
0 1 0
2 1 2
0 2 0
2 0 2
2 0 1
2 0 0
1 1 0
1 1 2
10 5
0 0 1
2 1 0
0 0 2
1 2 1
0 1 1
0 2 2
0 2 1
2 0 0
1 0 2
2 1 1
10 8
0 2 1
0 1 0
1 0 1
0 1 2
1 0 0
1 2 1
2 1 0
2 2 2
2 2 0
0 0 2
10 8
1 1 0
0 2 2
1 0 1
0 1 2
1 1 1
1 0 2
0 2 0
2 0 1
2 1 0
0 0 0
10 2
0 1 2
0 0 1
0 1 0
1 1 0
1 2 2
2 0 2
2 0 0
1 0 1
2 1 0
2 1 1
10 6
2 0 1
0 0 0
0 2 0
0 2 1
1 2 1
0 1 2
0 0 2
2 1 2
1 1 0
1 1 2
10 4
1 2 2
2 1 2
2 0 2
0 1 3
0 0 3
3 0 2
2 2 0
2 0 0
1 1 1
0 0 1
10 2
0 2 2
2 0 0
0 1 0
1 3 1
3 0 2
1 1 2
0 2 0
1 0 3
0 2 3
1 3 2
10 2
0 1 2
2 1 2
2 0 2
1 1 0
1 0 1
1 0 2
1 2 1
2 0 0
0 0 2
2 1 1
10 5
2 1 3
2 2 3
0 0 2
2 3 2
1 2 0
0 0 0
0 3 1
0 2 2
2 3 1
2 1 2
10 9
2 2 1
2 1 0
0 0 2
1 0 2
2 0 1
0 1 2
2 0 0
1 2 2
1 1 1
1 2 1
10 4
0 1 1
1 2 2
1 2 1
2 0 0
1 1 1
1 0 0
0 1 0
2 1 0
0 2 0
0 1 2
10 5
0 3 1
2 1 1
0 1 1
1 2 0
2 0 3
3 3 0
2 3 1
2 0 1
1 0 1
1 2 3
10 6
3 3 2
3 2 1
0 2 3
3 3 0
2 0 3
1 1 2
1 1 0
0 2 2
0 1 1
0 0 2
10 7
1 2 0
0 2 2
1 1 1
1 1 2
2 0 0
1 0 2
0 2 0
2 2 1
1 0 1
0 1 0
10 3
0 1 0
0 2 2
1 2 0
2 2 1
1 2 2
2 2 2
2 1 0
1 1 0
1 2 1
0 1 2
10 4
0 2 2
2 2 0
2 2 2
1 1 1
1 0 1
2 0 2
0 1 2
2 2 1
0 2 0
0 0 0
10 8
3 1 3
2 0 0
0 1 0
3 0 2
1 0 1
3 3 1
1 1 1
3 1 0
0 0 0
3 2 3
10 9
2 2 1
0 0 2
0 2 0
1 1 2
1 0 2
1 1 1
2 0 1
1 0 1
1 2 1
2 0 0
10 9
3 1 0
1 1 3
0 2 3
1 3 0
1 2 2
1 1 1
2 3 2
1 3 3
1 1 0
3 1 3
10 9
1 1 3
3 2 1
0 2 0
0 1 1
0 1 3
2 3 2
3 3 1
1 1 0
3 1 0
3 0 1
10 3
2 0 2
0 2 0
2 0 0
0 2 1
0 1 2
0 0 1
1 2 1
1 0 2
0 2 2
0 0 0
10 5
1 0 0
2 1 1
2 2 2
0 1 0
0 1 1
2 0 2
2 2 0
1 0 2
2 1 0
2 0 0
10 8
2 1 1
0 1 1
2 1 0
1 0 0
2 2 2
2 1 2
0 1 2
0 1 0
1 1 1
2 0 0
10 3
3 3 2
0 3 2
1 1 2
1 3 3
3 0 0
3 3 0
3 0 1
3 1 2
1 3 0
2 1 3
10 8
1 3 2
2 3 1
3 2 2
0 2 2
1 3 0
3 0 2
2 0 0
2 2 0
1 2 3
0 2 0
10 4
2 0 1
3 2 0
3 3 1
3 1 2
1 2 2
3 0 0
0 2 2
1 1 1
0 3 3
2 0 3
10 2
2 3 3
3 1 3
2 0 1
2 2 0
0 2 1
0 3 2
3 1 1
2 0 2
2 3 1
0 3 3
10 5
2 0 2
0 0 0
0 2 1
2 1 1
0 0 1
0 2 2
1 2 0
1 1 2
1 1 0
0 2 0
10 5
1 3 2
3 0 2
3 0 1
2 2 2
2 3 2
2 0 1
3 2 3
0 1 2
0 0 3
2 3 0
10 7
3 3 2
0 1 3
2 1 2
3 3 3
1 2 1
2 1 1
3 0 0
1 0 1
0 3 0
0 1 2
10 6
1 2 3
1 2 2
3 0 3
3 1 0
1 3 3
0 1 1
2 0 3
0 3 0
2 3 2
2 3 1
10 3
0 3 3
0 0 3
0 3 1
2 3 3
0 2 3
1 0 3
1 2 3
2 3 1
2 2 3
1 0 1
10 7
0 3 1
3 0 3
0 1 1
3 1 1
2 3 3
1 1 1
3 0 1
0 1 2
0 2 0
0 1 0
10 7
1 0 2
0 0 0
0 2 0
1 1 2
2 2 1
0 1 1
2 0 1
2 0 2
2 0 0
0 0 1
10 7
0 2 2
0 0 2
0 1 0
2 1 1
2 2 2
2 2 0
1 2 2
2 2 1
0 1 2
2 0 0
10 4
3 3 1
3 2 2
0 3 0
3 3 2
0 1 2
1 3 3
3 0 1
0 0 1
1 3 1
1 2 3
10 2
1 0 0
2 1 1
1 1 1
1 2 0
2 1 0
2 0 1
0 2 2
0 2 1
0 1 1
1 2 2
10 6
0 1 0
2 1 2
1 2 0
0 1 2
1 0 1
2 2 1
0 2 1
2 2 2
1 1 0
2 1 0
10 4
2 3 2
1 1 3
1 3 3
3 1 1
3 3 1
1 2 1
3 3 2
0 3 3
3 2 0
1 1 2
10 2
0 0 1
2 0 0
1 1 1
2 1 0
0 0 2
0 1 0
2 2 2
1 2 1
2 0 1
0 2 0
10 8
2 0 0
0 2 1
2 0 2
1 1 0
0 2 0
0 0 1
1 0 2
0 1 2
1 2 2
1 0 1
10 4
1 1 0
2 1 2
0 1 1
0 0 0
2 0 0
1 0 1
1 2 2
1 1 1
2 1 0
2 2 2
10 2
2 0 0
0 0 0
0 2 1
1 0 1
1 0 0
0 2 2
1 0 2
2 2 0
0 1 1
2 0 1
10 5
3 2 0
3 0 2
1 1 0
2 0 0
3 1 0
1 2 2
0 0 3
1 3 3
1 3 1
0 2 0
10 4
2 3 3
1 0 3
1 3 2
0 3 3
0 0 1
3 3 0
3 0 2
2 2 2
0 3 2
3 1 3
10 2
1 0 0
0 1 0
0 0 2
2 0 2
2 2 2
1 1 1
1 0 1
2 2 0
0 0 0
1 0 2
10 6
2 1 1
2 0 0
1 0 2
0 1 2
1 2 2
1 1 0
0 0 2
0 2 1
1 1 2
2 2 2
10 3
1 1 1
1 0 1
0 2 1
0 0 1
1 2 0
0 1 2
1 2 2
2 0 0
2 1 1
0 2 2
10 7
0 0 0
2 0 2
2 0 1
0 1 1
2 2 2
1 2 1
1 2 2
0 0 2
1 0 0
0 2 1
10 3
0 0 1
0 1 2
1 0 2
0 0 0
1 0 1
2 0 0
2 0 2
0 1 1
0 2 0
2 2 0
10 8
3 3 3
1 3 2
0 1 2
1 0 0
2 0 0
2 2 0
2 2 1
1 1 2
3 3 0
2 0 3
10 8
0 0 1
2 0 1
1 1 2
0 1 1
0 2 1
2 0 2
0 1 0
0 2 0
2 2 1
1 2 2
10 9
1 3 3
0 2 1
2 1 1
1 3 2
2 3 2
3 3 2
2 2 2
0 3 0
3 1 2
1 3 1
10 3
2 2 1
1 1 1
0 1 1
0 2 0
0 2 1
2 0 2
1 2 1
1 1 2
0 1 2
1 2 0
10 8
1 1 2
0 1 2
1 1 0
1 0 1
0 2 0
0 0 2
1 0 0
0 0 0
0 1 1
2 2 2
10 3
3 3 3
3 3 2
0 2 2
3 2 0
3 3 1
0 1 2
3 1 3
3 0 1
2 3 2
1 2 3
10 2
0 2 0
2 0 2
0 2 1
2 1 1
2 2 1
1 1 1
2 1 2
0 0 2
0 0 0
0 1 1
10 7
0 2 2
3 0 0
3 1 3
0 3 3
0 1 0
0 0 2
1 0 0
2 3 0
1 2 0
3 2 3
10 5
0 1 0
1 0 1
1 3 3
1 1 3
3 1 2
3 1 1
2 2 2
2 2 0
1 0 2
3 0 3
10 8
2 1 0
1 2 0
3 0 2
0 0 2
2 2 1
0 3 1
2 3 1
2 1 2
2 1 1
0 2 0
10 9
3 3 1
2 2 1
3 1 1
3 3 3
1 2 0
3 0 3
1 0 0
0 0 3
1 0 2
0 3 3
10 3
2 1 2
2 2 1
0 0 1
2 2 2
0 1 2
2 1 1
1 0 0
0 0 2
2 0 0
1 2 1
10 3
3 1 2
2 1 3
1 2 3
3 1 3
1 3 3
1 2 1
0 1 1
2 1 2
0 0 3
0 2 0
10 3
3 3 0
1 0 0
2 2 2
3 2 2
3 0 2
1 0 3
0 3 2
0 0 0
2 2 3
2 2 1
10 8
0 0 0
2 0 0
2 2 1
1 1 1
0 0 2
2 0 1
1 2 2
0 0 1
0 2 2
0 1 2
10 9
2 0 2
0 2 1
0 1 2
0 2 0
2 2 2
1 0 1
1 2 1
1 0 2
2 1 1
1 0 0
10 2
2 2 0
2 1 1
2 1 0
1 0 2
0 1 2
0 1 1
1 1 2
2 2 1
1 2 0
0 2 0
10 9
1 3 3
2 1 3
2 0 1
1 0 3
1 2 1
3 3 0
0 2 3
3 0 2
2 1 0
3 2 3
10 6
0 3 0
0 2 3
0 1 3
3 3 2
2 0 2
2 0 1
1 2 0
3 1 3
2 2 2
2 0 0
10 2
1 1 2
2 1 1
2 0 0
1 2 1
1 1 1
2 2 2
0 2 1
0 1 1
1 2 2
0 0 2
10 7
0 1 0
0 1 1
2 1 0
2 2 2
0 0 1
2 0 2
0 2 2
1 0 1
0 2 1
0 0 0
10 3
2 2 0
1 1 0
1 3 0
3 0 0
0 2 2
1 0 1
3 3 2
3 0 3
1 1 2
2 3 1
10 8
2 0 0
0 1 1
2 1 3
3 1 3
2 3 1
2 0 2
2 0 1
3 0 2
1 0 3
2 0 3
10 8
0 1 2
0 2 1
1 2 1
2 0 1
2 0 2
1 1 2
2 1 1
1 0 2
0 1 1
1 2 0
10 7
2 2 3
2 0 1
0 2 3
1 0 0
0 2 0
1 2 2
1 3 1
3 3 2
1 2 0
2 3 3
10 6
1 0 0
1 2 0
2 1 1
2 2 2
2 2 1
1 0 2
0 2 1
0 1 2
1 1 0
0 0 2
10 8
1 0 0
1 1 2
2 1 2
2 2 0
2 0 1
0 2 1
2 0 2
0 1 2
0 0 2
1 0 2
10 6
2 1 2
0 1 0
2 0 1
2 2 0
2 2 2
0 1 1
1 1 2
1 1 0
1 2 0
0 0 0
10 3
2 1 2
0 0 2
0 2 2
2 2 2
0 1 0
1 1 0
1 2 0
0 0 0
1 1 2
2 2 0
10 9
0 0 2
2 0 0
1 0 2
1 1 0
0 1 0
2 0 1
0 2 1
0 0 0
1 2 1
1 2 0
10 6
2 3 1
0 1 2
0 0 1
3 1 2
3 0 1
3 2 2
0 3 0
2 1 0
3 0 2
0 0 2
10 6
1 2 0
1 0 0
3 2 1
2 0 2
1 3 3
0 1 2
2 2 2
0 0 3
3 1 3
1 3 2
10 9
2 1 1
0 1 0
2 0 2
2 0 1
1 0 2
0 0 2
0 2 1
0 1 2
1 0 1
2 1 2
10 9
1 1 2
1 3 0
3 2 1
3 3 0
0 1 0
2 3 0
2 2 0
0 0 0
0 2 2
2 2 3
10 3
0 2 0
0 2 1
2 0 0
1 2 2
2 2 2
2 0 2
1 1 0
1 1 1
2 2 1
2 0 1
10 4
0 2 1
1 1 1
0 1 0
0 1 2
2 0 1
1 1 2
2 0 0
0 0 0
1 2 2
0 2 2
10 4
2 2 2
0 1 3
1 1 2
0 2 0
2 3 3
1 2 3
3 1 3
3 2 1
0 2 1
2 2 0
10 8
1 0 1
3 0 2
3 3 3
1 3 2
3 3 2
2 2 0
0 0 2
3 1 1
0 1 2
2 3 2
10 2
2 0 0
1 1 2
2 0 2
0 1 0
2 1 2
0 2 1
2 2 2
2 2 0
1 0 0
1 2 2
10 3
0 0 2
0 1 1
1 0 1
2 2 1
2 2 2
1 2 2
2 0 1
2 1 1
2 2 0
2 1 0
10 8
0 0 0
2 2 0
0 2 0
2 1 1
2 0 0
1 1 0
2 2 1
1 2 0
1 1 2
2 2 2
10 2
1 1 1
0 0 0
2 2 2
0 2 0
2 0 2
2 0 0
1 1 0
1 0 0
1 2 2
0 1 0
10 3
3 3 2
2 2 3
0 2 3
0 1 2
2 0 2
0 3 2
3 2 3
0 3 0
3 1 3
1 3 2
10 6
0 0 1
2 2 0
2 0 1
0 0 0
1 0 2
0 0 2
2 1 0
1 2 0
0 2 1
0 1 0
10 8
3 0 1
1 1 3
3 1 3
2 3 2
1 2 1
0 3 0
2 3 3
1 3 2
3 1 1
2 0 1
10 8
3 0 0
1 3 2
3 1 1
3 2 2
3 2 0
0 0 0
0 0 1
0 2 2
2 2 0
2 2 3
10 6
2 1 2
0 1 1
2 1 0
2 0 1
1 1 1
0 1 0
1 0 0
1 0 1
2 2 2
0 2 2
10 8
0 0 0
0 0 3
1 3 2
0 2 2
2 2 0
1 1 2
1 1 0
2 2 2
0 3 1
0 1 0
10 8
2 0 2
2 1 2
1 2 1
2 1 1
1 0 2
2 0 1
2 0 0
0 2 0
2 2 2
2 1 0
10 9
2 0 1
0 0 2
0 1 0
1 0 1
2 1 2
2 1 0
1 1 1
0 0 0
1 0 0
1 1 2
10 9
2 2 1
2 3 3
3 0 0
3 1 0
0 2 0
2 1 1
3 1 2
2 3 2
3 0 1
1 2 0
10 6
2 1 3
1 0 2
0 3 3
2 2 1
1 1 2
1 2 0
2 3 2
3 0 3
1 1 0
3 2 3
10 5
1 0 1
0 2 1
0 1 2
2 0 2
2 0 0
0 1 1
1 1 2
1 1 0
2 1 0
1 0 2
10 3
1 0 1
1 2 0
3 0 1
3 3 2
2 2 0
1 3 2
0 3 3
2 0 3
3 2 1
0 2 2
10 3
0 3 3
1 1 0
2 1 3
3 0 3
3 1 2
2 2 1
2 2 3
1 3 2
1 1 1
2 2 2
10 8
3 3 0
1 1 3
0 1 1
0 0 0
2 1 2
1 3 0
0 2 2
2 0 0
3 0 2
2 3 1
10 2
2 2 0
2 0 0
2 0 2
0 1 0
0 2 1
0 0 1
1 0 1
1 1 2
0 1 1
0 0 2
10 8
1 1 2
1 0 0
1 1 1
0 0 2
0 2 2
1 2 2
2 0 0
2 2 0
0 2 0
2 2 2
10 4
1 0 1
0 1 0
0 2 0
2 1 2
1 2 1
2 1 1
2 2 0
0 1 1
1 1 2
1 0 0
10 2
0 1 1
0 2 1
2 1 1
1 0 2
2 0 2
1 1 0
0 0 2
0 1 2
0 0 0
0 1 0
10 4
0 1 1
2 3 1
2 1 1
0 3 1
2 0 2
0 1 2
3 1 2
1 1 2
1 3 1
1 2 2
10 6
2 2 0
3 1 2
2 1 3
1 1 2
2 0 0
1 3 0
1 1 0
2 3 3
3 3 0
3 0 0
10 7
2 1 2
2 1 0
1 2 0
2 2 2
0 0 1
1 2 2
2 0 2
1 0 1
2 2 0
1 0 2
10 8
3 2 3
2 0 2
0 0 3
3 3 2
1 1 3
3 2 1
0 0 0
3 2 0
1 3 0
2 3 3
10 4
2 1 1
2 2 2
1 1 2
1 1 1
1 1 0
0 2 0
0 0 1
2 0 2
1 2 2
0 1 0
10 2
0 1 2
0 2 1
1 1 2
1 0 1
0 0 0
2 2 2
1 1 1
1 2 0
1 0 2
2 1 0
10 5
1 2 3
2 3 2
3 3 3
3 2 2
1 3 3
3 2 3
2 1 3
1 1 2
3 2 1
2 1 2
10 3
1 1 1
0 2 2
2 0 0
0 0 1
2 2 2
1 0 0
2 0 1
1 1 0
2 2 1
2 1 2
10 3
2 1 1
0 0 2
0 2 0
0 1 2
1 1 1
2 0 2
2 0 1
1 0 2
1 2 0
0 2 1
10 5
2 0 2
2 1 1
0 0 2
1 2 2
2 1 0
1 0 0
0 1 0
1 2 1
2 2 2
0 2 1
10 6
2 1 0
0 0 2
2 0 2
1 0 2
0 1 1
0 2 1
1 1 1
1 2 0
2 1 1
2 2 2
10 5
1 0 1
2 1 2
0 0 0
0 0 2
1 1 1
2 1 1
1 2 2
0 0 1
2 2 1
2 2 0
10 6
0 2 0
1 0 0
0 1 1
1 1 1
2 2 0
0 0 0
2 0 1
2 1 2
1 2 1
1 2 0
10 3
1 0 0
3 2 1
2 3 1
1 2 1
3 2 2
2 2 3
3 0 2
2 3 0
3 3 3
0 1 3
10 4
1 2 2
2 0 2
1 2 1
0 2 1
1 1 1
1 0 2
1 1 2
2 2 0
2 2 2
2 0 1
10 4
0 1 1
0 0 0
1 1 1
1 0 0
2 2 2
1 2 0
2 0 2
0 2 2
2 2 0
2 0 1
10 9
0 0 1
1 2 1
1 0 0
1 1 0
1 1 2
1 2 2
2 1 2
0 0 0
2 2 1
0 2 2
10 4
1 2 2
0 0 1
2 2 0
0 1 0
1 1 1
2 0 1
1 0 0
2 0 2
0 2 0
2 1 0
10 9
2 2 1
0 0 2
0 2 0
2 0 2
2 0 1
0 1 1
0 1 0
2 2 2
1 0 2
2 2 0
10 6
1 2 1
2 0 1
0 1 0
0 3 1
0 3 2
1 1 0
0 1 1
2 1 3
3 3 1
1 0 1
10 2
2 0 3
0 1 3
3 3 2
0 2 2
1 3 2
3 1 3
0 3 0
2 1 2
3 2 1
2 3 2
10 5
0 0 0
0 0 1
2 1 2
1 2 1
0 0 2
0 2 0
2 0 2
2 1 1
2 2 0
2 0 0
10 3
3 1 1
1 1 1
0 3 0
3 1 0
3 2 3
3 2 0
2 0 2
0 3 3
3 1 2
0 2 2
10 7
0 2 2
1 0 0
2 2 2
1 0 1
2 0 2
2 2 1
2 2 0
1 2 1
0 0 1
1 2 2
10 4
1 2 0
3 3 0
3 3 1
0 3 2
1 0 2
3 2 0
0 2 2
2 3 0
3 1 1
2 1 0
10 4
2 1 2
1 0 0
2 2 0
1 2 2
2 0 1
0 0 0
0 0 1
2 2 1
0 1 1
2 1 0
10 6
0 0 1
1 1 1
2 1 1
0 2 1
1 0 1
0 1 0
0 0 0
0 0 2
1 2 1
0 2 0
10 5
2 1 1
2 2 0
0 2 2
1 0 1
1 2 2
0 0 2
2 0 1
1 1 0
2 2 1
0 1 1
10 7
2 3 2
2 2 2
3 2 1
3 0 3
0 3 1
3 0 1
0 3 0
1 1 0
1 3 0
3 0 0
10 7
0 1 1
2 1 0
2 0 2
1 3 2
0 1 3
3 3 3
2 2 1
0 1 2
3 3 2
0 1 0
10 3
2 0 1
2 0 2
0 2 2
0 1 1
0 0 1
2 1 2
1 0 1
1 0 2
1 2 0
2 2 2
10 7
2 1 0
2 2 2
1 1 2
2 2 0
0 1 1
2 0 2
0 1 2
1 0 2
2 0 0
1 2 1
10 3
2 0 0
2 1 2
2 1 1
2 0 1
2 2 1
2 0 2
1 2 1
1 1 1
1 0 1
1 1 0
10 7
0 0 2
0 1 0
0 2 2
1 1 2
3 3 1
2 3 0
2 0 1
0 3 1
3 0 0
1 1 1
10 3
3 2 1
0 3 1
2 0 1
1 3 0
1 2 1
0 0 0
1 2 0
2 0 3
1 3 2
3 3 1
10 3
1 1 3
0 1 2
3 0 1
2 1 3
2 2 1
3 3 3
2 2 2
0 2 1
2 3 3
3 0 0
10 9
2 1 1
3 1 1
0 1 2
0 2 1
3 0 3
2 3 1
0 0 0
0 3 2
0 3 1
3 2 0
10 4
0 1 3
0 1 1
3 0 1
2 2 1
0 2 0
0 2 1
2 3 1
1 1 2
3 3 0
1 3 3
10 4
0 1 1
3 2 2
2 1 1
1 2 1
2 0 2
0 0 0
0 1 3
1 1 3
2 1 2
1 3 3
10 4
2 2 1
0 3 2
2 2 0
2 1 3
3 2 3
2 3 1
1 3 1
2 1 0
0 0 2
1 2 3
10 7
2 2 1
0 2 0
2 2 0
3 0 2
0 0 1
2 2 2
3 0 0
2 1 0
1 3 0
0 3 1
10 9
1 1 1
0 1 0
0 0 2
1 2 0
1 0 1
0 2 1
2 0 1
2 2 0
1 0 0
0 1 2
10 9
1 2 2
1 0 1
0 1 1
1 1 0
0 2 0
2 0 0
2 2 2
1 2 0
0 2 2
0 1 2
10 5
0 2 2
2 2 2
2 2 0
2 1 1
0 2 1
2 0 0
1 2 1
1 2 0
0 1 1
2 1 0
10 9
0 2 3
1 1 3
0 0 0
0 0 2
2 1 3
3 1 2
0 0 1
2 2 0
1 2 0
2 1 2
10 8
0 2 0
0 1 1
2 1 1
1 0 0
2 2 2
1 1 2
1 2 2
2 1 2
0 1 2
0 1 0
10 5
2 2 2
1 1 1
1 0 2
2 0 1
2 0 2
0 1 1
1 1 2
0 1 0
2 2 0
2 1 1
10 3
1 3 3
2 2 0
2 3 3
2 0 2
2 0 3
0 1 1
0 2 2
0 2 0
0 0 3
3 0 2
10 2
2 3 2
0 1 3
1 3 1
0 1 1
0 2 3
3 2 1
1 1 1
3 0 0
3 0 3
2 3 3
10 6
1 2 2
0 2 2
3 2 1
2 0 0
3 2 2
0 0 3
0 1 0
0 2 3
1 1 0
2 1 2
10 9
2 0 1
1 0 1
1 1 2
2 0 2
0 1 1
1 0 0
0 2 1
0 0 1
2 1 2
2 0 0
10 5
0 2 0
1 0 0
0 0 0
1 2 1
1 1 0
0 1 2
2 1 0
2 2 1
2 0 0
2 2 0
10 6
2 1 1
3 1 2
0 3 1
2 1 3
2 3 0
3 1 1
0 3 0
0 1 0
1 3 2
1 1 2
10 2
1 1 2
2 0 0
0 0 1
0 2 0
1 1 0
0 1 2
1 0 1
2 1 0
1 2 1
0 2 2
10 9
2 0 0
0 0 3
3 0 1
3 2 2
1 3 3
2 1 0
1 1 3
2 2 2
0 1 2
0 2 0
10 8
2 3 0
3 2 0
1 0 1
1 3 0
3 3 2
0 2 3
2 2 3
0 1 3
2 3 2
1 2 0
10 2
1 1 2
0 2 0
1 0 2
1 2 0
2 1 0
0 0 1
0 2 1
0 1 2
0 1 0
1 0 0
10 2
2 1 3
2 3 2
1 2 3
3 0 0
2 0 0
2 2 2
1 2 0
0 2 0
2 1 1
2 0 3
10 7
3 1 0
1 1 0
1 3 1
0 3 3
2 3 0
2 2 1
1 2 1
3 1 3
1 1 3
0 2 0
10 5
2 1 2
0 2 0
1 0 2
1 0 1
0 2 2
0 1 0
0 0 2
1 1 1
2 0 1
0 1 1
10 6
1 1 0
1 0 1
1 0 0
0 1 0
1 0 2
2 0 2
2 1 2
2 2 1
1 2 0
2 2 2
10 5
2 0 2
2 1 3
3 0 0
3 1 1
0 0 3
3 0 1
2 2 0
2 2 1
1 1 1
3 1 0
10 7
2 2 1
2 0 1
1 1 2
1 2 1
0 2 0
1 0 0
0 1 2
1 1 1
2 0 0
2 0 2
10 3
1 0 2
2 0 2
2 1 0
1 0 1
1 2 1
0 0 1
0 2 1
0 1 2
0 0 0
2 1 1
10 6
1 2 1
0 1 1
2 1 2
0 1 0
2 2 1
0 0 2
1 1 2
1 1 1
1 0 0
0 0 0
10 9
0 3 0
2 0 1
0 2 3
1 0 1
1 3 1
3 1 3
1 2 2
1 2 1
3 2 2
3 2 3
10 3
3 2 1
0 2 1
0 3 0
2 1 0
3 1 2
2 0 2
0 0 2
2 3 2
3 1 3
0 1 3
10 3
0 1 2
2 1 1
1 1 1
0 2 0
2 1 2
2 2 1
1 1 0
2 2 0
0 2 2
2 1 0
10 6
1 2 3
3 0 0
0 3 3
2 0 3
1 1 0
3 3 2
0 3 2
2 0 1
3 3 3
1 3 3
10 5
1 0 0
1 1 1
2 2 0
0 1 1
0 0 1
2 1 0
1 0 2
1 2 2
2 2 2
2 0 2
10 9
0 1 1
1 0 0
1 2 2
2 2 0
1 2 1
0 0 0
2 1 1
1 1 2
0 2 2
0 2 0
10 5
0 0 0
2 2 2
1 2 1
0 1 0
1 1 0
2 2 1
1 0 0
1 2 0
0 0 1
1 0 2
10 2
1 0 1
0 0 2
0 2 2
0 0 0
2 2 1
1 2 2
1 2 0
0 1 2
1 0 2
0 1 0
10 9
2 1 2
2 2 0
0 2 0
1 0 1
0 1 0
1 2 1
1 0 2
1 1 1
0 0 2
0 0 0
10 7
1 1 1
0 1 1
2 2 1
1 0 1
1 2 0
1 0 2
2 1 1
1 2 1
0 2 2
1 1 0
10 2
2 0 2
1 0 2
0 2 0
1 2 1
1 0 1
1 1 1
0 2 2
1 1 2
0 0 2
0 1 1
10 5
2 1 1
0 0 0
0 2 2
1 2 2
2 1 2
1 2 1
1 0 0
2 0 0
2 2 0
1 2 0
10 6
2 1 2
2 1 1
2 2 1
0 0 0
0 1 1
0 2 2
1 0 1
1 1 2
2 1 0
0 1 0
10 2
2 2 2
1 1 0
0 0 2
2 1 1
1 2 1
0 1 0
0 1 1
0 2 1
1 1 1
2 1 2
10 8
1 3 1
2 3 0
3 2 3
2 2 2
1 2 0
0 1 1
1 2 3
0 3 3
3 3 3
0 2 1
10 9
1 1 0
0 1 0
1 2 1
1 1 1
0 2 1
0 2 0
1 2 0
1 0 0
2 2 0
1 0 1
10 4
2 1 1
0 1 1
0 1 0
1 0 0
2 2 2
2 1 2
1 0 2
1 0 1
2 2 0
2 0 0
10 6
2 2 2
1 0 3
2 3 0
3 0 2
0 1 3
3 2 2
3 1 1
3 2 1
0 0 0
2 3 1
10 3
0 1 2
1 2 1
0 0 0
1 1 2
0 2 0
0 2 2
1 0 1
1 2 0
0 0 1
0 1 1
10 9
1 2 0
0 2 0
0 1 2
2 2 0
2 1 1
2 1 0
1 1 0
0 0 0
2 2 2
2 0 0
10 3
1 1 0
2 0 0
0 3 2
0 3 3
1 0 3
0 2 0
3 1 1
2 3 1
3 3 2
2 3 3
10 2
2 2 0
1 1 1
2 0 0
0 1 1
2 2 1
1 2 1
1 0 1
2 2 2
1 1 0
1 1 2
10 9
1 2 2
0 1 2
1 1 0
0 2 2
1 1 1
2 0 2
2 2 2
2 1 0
2 1 1
1 0 1
10 6
0 1 2
1 2 2
0 2 0
1 0 1
2 1 2
1 0 2
0 2 1
0 2 2
2 2 1
2 0 2
10 7
1 1 2
2 0 1
0 1 1
1 2 1
0 2 1
1 1 0
2 1 0
2 0 2
1 1 1
1 0 0
10 7
2 0 1
3 2 1
1 2 3
3 1 0
2 2 0
1 0 0
2 1 1
0 0 0
2 1 2
3 3 3
10 4
0 0 1
2 1 1
2 1 0
2 2 0
2 0 0
1 0 2
0 2 1
1 0 0
1 2 1
1 1 0
10 5
1 0 0
2 2 1
3 3 0
1 0 3
2 3 0
0 0 1
2 0 1
1 1 2
0 1 2
2 3 3
10 7
0 0 0
2 0 1
0 2 0
2 0 0
2 1 0
0 1 0
1 1 2
1 2 1
0 2 2
2 2 1
10 3
2 1 1
1 1 0
2 0 0
0 0 2
0 0 0
1 0 2
1 1 1
2 0 1
1 2 0
0 0 1
10 6
1 2 0
1 2 1
1 0 2
1 0 1
0 0 2
2 1 1
1 0 0
2 2 2
0 2 2
2 1 0
10 5
1 1 3
2 1 2
1 2 3
1 3 0
2 3 0
3 3 1
2 0 1
3 3 2
2 0 3
1 1 1
10 7
2 1 2
2 2 0
0 2 0
2 2 1
0 1 3
2 1 3
1 1 1
2 3 2
3 2 0
1 2 1
10 7
1 1 3
0 0 1
3 1 1
2 1 0
0 3 1
3 3 0
3 2 0
2 1 2
3 1 2
2 3 2
10 9
1 1 0
1 0 2
0 1 0
0 1 1
0 2 0
2 2 1
2 2 0
2 1 0
0 1 2
1 0 0
10 5
0 1 2
2 2 0
2 1 0
1 1 2
1 2 1
0 1 1
0 0 1
0 0 2
0 1 0
0 2 0
10 3
3 3 1
2 3 0
0 1 3
1 2 2
3 3 3
0 2 0
3 2 0
3 1 3
1 3 3
2 2 1
10 3
3 2 2
1 1 0
0 1 3
3 0 1
1 2 3
0 3 2
1 2 0
3 0 3
1 3 3
0 1 1
10 9
1 1 2
2 0 0
0 2 0
0 1 1
0 0 2
0 1 2
1 0 2
1 2 0
0 0 1
2 1 0
10 7
3 3 2
0 0 3
1 2 2
3 3 1
1 2 3
2 2 3
2 2 2
3 2 0
1 3 2
2 0 0
10 9
0 3 1
0 3 2
3 2 2
3 1 0
3 3 1
3 1 3
0 1 0
3 2 3
2 2 1
0 1 3
10 5
0 0 2
1 0 1
2 1 0
0 0 1
1 0 0
2 2 1
1 2 0
1 1 2
0 2 2
0 2 1
10 3
3 2 2
0 0 0
2 2 2
2 1 3
0 0 1
1 1 3
3 2 1
2 0 0
2 3 0
1 3 2
10 6
2 1 2
2 3 0
2 2 3
3 3 0
3 1 2
3 2 1
1 0 1
0 0 2
1 1 1
3 0 2
10 7
2 0 3
3 0 1
3 3 1
1 2 0
0 2 1
1 2 2
2 0 0
0 2 0
3 0 2
0 1 1
10 3
2 2 3
2 0 1
1 2 2
1 1 0
3 3 3
1 1 3
0 1 0
0 2 0
3 3 1
2 3 1
10 9
1 1 2
1 1 1
0 2 1
2 0 1
2 1 1
2 1 0
2 2 0
2 1 2
0 1 2
1 2 2
10 3
1 1 1
1 0 0
0 0 0
0 2 1
2 0 0
1 1 0
0 0 1
1 2 1
2 2 0
0 2 0
10 9
0 0 0
2 1 1
0 1 2
0 1 0
2 2 2
1 2 2
0 2 0
1 1 1
0 2 2
2 0 2
10 6
1 2 2
1 2 1
0 0 0
2 1 1
2 2 1
2 1 2
1 0 1
1 1 2
1 0 0
0 1 0
10 8
1 2 0
1 1 2
2 2 2
2 0 0
1 2 1
1 0 1
0 2 1
2 0 2
2 1 0
1 2 2
10 3
0 0 1
0 2 2
1 0 1
0 0 0
2 1 0
1 0 0
0 2 1
2 0 0
0 1 1
2 2 2
10 9
2 2 1
1 0 0
0 2 2
1 0 2
0 0 1
2 0 2
0 2 1
1 0 1
1 1 1
2 1 1
10 6
1 1 2
1 0 1
0 3 3
2 3 1
3 2 2
2 0 3
0 0 1
2 2 3
0 3 1
0 0 2
10 5
2 0 2
2 1 1
1 3 3
3 1 1
0 2 1
2 1 3
3 2 0
0 3 1
3 0 0
3 3 1
10 8
3 0 2
0 3 0
0 1 0
1 1 3
1 0 1
0 3 3
2 0 0
3 3 0
0 0 3
1 2 0
10 3
3 3 3
0 0 2
2 0 3
1 1 1
0 2 2
3 2 2
1 0 0
0 3 1
1 2 1
1 3 1
10 9
0 2 1
0 1 2
0 1 1
1 1 1
1 2 0
2 1 1
1 0 2
0 0 2
1 0 1
2 2 0
10 7
2 1 3
3 1 2
0 2 0
1 0 0
0 3 3
0 1 0
2 3 0
1 1 1
0 2 2
1 3 2
10 3
2 1 1
0 3 0
3 3 0
1 1 3
2 2 2
2 1 2
0 3 1
0 2 1
2 2 3
3 3 1
10 6
0 3 0
3 3 2
1 0 2
1 0 3
3 2 2
0 3 2
3 2 1
3 2 3
3 1 1
2 1 1
10 4
2 2 1
2 1 1
0 1 1
2 2 0
1 1 0
0 1 0
2 1 0
1 2 1
0 0 2
2 2 2
10 4
2 2 1
0 1 0
2 1 0
2 2 2
0 1 1
1 0 1
1 2 2
0 2 0
1 2 0
0 0 0
10 3
0 0 2
1 1 0
2 2 2
1 0 2
1 2 2
0 2 1
0 0 1
0 2 2
0 0 0
1 1 1
10 3
1 0 0
1 1 2
0 2 1
0 0 1
1 1 1
1 1 0
2 0 0
0 0 2
2 0 2
2 2 2
10 3
1 2 2
2 0 2
0 2 0
2 2 0
1 1 0
0 0 2
1 2 1
1 1 2
0 1 2
2 2 2
10 6
0 3 1
0 0 2
0 1 2
1 2 0
0 3 3
3 1 3
1 1 1
2 2 3
1 0 1
2 2 2
10 8
0 1 0
1 0 3
1 3 3
1 2 1
1 2 0
2 2 1
3 3 2
3 2 1
3 1 3
2 1 3
10 9
0 1 1
1 2 0
1 1 1
1 0 2
0 2 0
2 0 2
2 2 2
0 1 2
2 0 1
2 2 1
10 5
0 0 1
0 2 0
1 1 1
1 0 2
0 2 1
1 2 2
2 1 0
1 0 1
0 1 2
0 1 0
10 5
2 2 3
0 3 1
3 1 0
0 2 0
2 1 3
1 2 1
3 2 0
3 3 2
1 1 0
1 0 1
10 3
1 3 0
2 3 3
3 0 0
0 2 2
0 3 1
0 1 0
1 1 3
1 2 1
3 3 3
1 2 3
10 2
2 1 2
2 3 3
1 2 1
2 2 3
2 1 3
2 1 1
0 2 0
0 2 3
1 2 0
3 2 3
10 5
2 1 1
3 1 3
3 2 3
1 1 0
2 3 3
2 1 2
1 2 3
3 0 0
3 0 3
0 3 1
10 6
2 2 2
0 0 0
2 1 1
0 1 1
0 2 2
0 2 0
2 2 0
2 0 2
1 1 0
1 0 0
10 6
1 2 2
1 1 1
2 0 1
0 2 0
1 0 1
1 0 0
1 2 0
2 2 0
0 0 2
1 2 1
10 7
1 1 0
0 0 1
1 0 0
2 0 0
0 2 0
2 0 2
0 1 1
0 2 2
1 1 1
2 0 1
10 8
1 2 0
2 1 0
0 2 0
0 2 1
2 0 0
0 0 1
1 1 2
1 1 1
0 0 2
0 2 2
10 9
1 3 1
1 2 3
0 3 2
2 1 2
3 1 3
1 3 3
0 0 1
2 3 0
3 2 2
2 1 3
10 2
3 1 0
3 0 3
0 1 3
0 1 1
1 3 2
0 2 1
2 2 0
1 1 1
3 3 0
3 1 1
10 9
1 2 1
2 0 1
2 2 2
0 1 2
0 0 0
1 1 2
2 1 2
1 2 2
1 0 1
0 2 0
10 9
0 2 3
3 1 3
1 1 0
3 0 3
2 2 0
3 2 2
3 1 0
3 3 2
0 1 2
2 3 2
10 4
2 3 3
3 2 2
1 0 2
2 3 1
2 2 3
0 3 3
1 1 0
0 2 3
1 3 0
1 2 3
10 9
2 0 3
2 3 2
0 2 0
1 1 0
1 2 0
3 0 1
0 3 1
3 2 1
3 1 1
0 3 3
10 9
3 3 3
2 1 0
0 1 2
0 3 2
3 1 2
2 3 2
2 0 1
2 3 0
0 3 3
1 1 2
10 2
3 2 3
1 2 2
3 0 2
2 2 2
2 1 0
0 0 2
2 3 3
3 2 0
0 3 3
2 0 3
10 3
2 0 2
2 3 3
2 2 1
1 2 3
2 2 3
3 0 1
0 0 2
3 2 1
1 3 2
2 1 2
10 2
1 1 2
1 0 1
0 2 2
2 0 2
2 0 1
0 1 0
0 0 1
0 1 1
1 1 0
0 0 0
10 2
0 3 0
0 0 3
0 3 2
1 0 0
2 0 3
3 0 1
0 0 1
1 1 3
0 2 1
3 0 0
10 5
0 1 2
2 2 0
0 2 0
2 1 2
3 3 0
1 2 2
1 0 3
0 2 3
1 3 0
3 1 2
10 2
0 0 3
3 1 1
1 3 2
2 2 3
3 0 1
2 1 2
1 3 1
0 2 3
0 0 1
1 3 0
10 3
1 0 2
0 0 0
1 1 2
0 3 3
1 3 1
3 0 1
0 1 0
0 3 2
1 2 3
2 3 3
10 7
0 0 0
0 1 1
2 0 1
0 2 0
2 1 0
0 1 0
2 2 0
1 2 2
0 0 1
1 0 2
10 4
0 1 2
1 3 3
0 0 3
1 2 2
0 2 3
0 2 1
0 3 1
2 0 0
1 3 2
2 1 2
10 9
0 2 2
2 0 2
2 1 0
0 0 0
1 1 2
1 2 2
1 2 1
0 2 0
1 0 1
1 1 0
10 7
1 3 2
0 2 0
3 1 1
3 3 0
2 1 2
2 2 1
3 2 3
2 1 0
1 0 2
1 1 0
10 8
2 0 1
1 2 2
1 3 0
0 2 3
0 3 3
2 1 1
0 2 0
0 2 2
2 1 3
2 2 3
10 5
3 3 3
3 0 2
1 0 0
3 3 0
3 1 0
0 2 1
2 1 2
3 2 3
2 1 0
0 1 0
10 2
0 1 1
1 2 0
1 0 1
1 1 1
2 1 2
2 1 1
2 0 0
2 0 1
2 2 0
2 2 2
10 8
2 1 1
2 1 0
1 1 0
0 0 0
2 1 2
1 0 2
1 2 0
1 1 1
1 2 1
0 1 1
10 8
0 0 1
1 0 3
3 2 1
2 2 0
0 2 0
3 0 3
1 1 0
0 1 3
3 1 1
2 3 1
10 6
3 2 2
2 2 2
2 1 2
1 3 0
2 2 3
3 1 3
3 2 1
3 0 2
2 0 3
3 1 0
10 9
0 0 0
0 1 1
2 0 3
1 3 0
1 1 0
3 3 3
2 0 0
2 1 2
0 2 3
0 3 2
10 9
2 2 0
2 0 1
0 0 2
0 2 1
2 1 0
0 2 2
1 2 1
2 2 2
2 0 2
0 0 0
10 8
3 2 0
1 1 1
3 3 0
3 0 3
3 0 1
0 2 3
2 0 0
2 3 3
0 1 1
0 2 2
10 5
2 1 2
2 1 1
0 1 2
2 2 2
0 1 0
1 2 0
0 0 2
1 1 0
1 0 0
0 0 0
10 9
1 1 1
1 2 1
1 1 2
2 2 1
2 2 0
2 1 0
0 1 2
2 0 1
0 2 0
1 2 2
10 2
3 3 3
3 1 3
1 2 2
2 3 1
1 1 2
0 2 0
3 2 0
3 3 2
1 3 0
0 0 0
10 8
2 0 0
1 0 2
1 1 0
1 2 2
1 1 1
0 2 2
2 0 2
0 1 0
2 0 1
0 2 1
10 5
0 2 1
2 3 0
0 3 0
0 1 3
3 3 2
3 1 0
1 2 0
1 0 3
3 3 3
2 0 3
10 4
3 1 2
0 1 3
0 0 1
3 3 1
1 2 2
1 3 0
2 0 2
0 3 2
2 2 2
2 2 0
10 9
3 3 0
1 2 1
1 3 2
0 1 1
3 1 1
2 1 2
1 2 0
0 0 0
1 0 2
1 1 2
10 3
1 1 3
3 2 2
3 2 0
0 1 0
0 1 1
2 3 3
1 3 1
0 1 2
3 1 0
2 1 2
10 8
1 1 2
2 0 2
0 1 2
1 1 0
2 2 1
0 0 0
1 2 1
0 2 2
2 1 0
2 0 0
10 7
3 3 0
3 1 2
3 2 3
1 3 3
0 1 3
0 2 2
1 0 0
2 0 0
1 2 1
2 1 2
10 7
2 1 1
3 2 2
0 3 3
1 1 2
0 0 0
0 1 1
2 3 2
3 3 1
3 2 1
3 3 2
10 3
3 1 2
0 0 2
3 1 3
1 3 1
1 1 3
2 1 0
3 0 0
2 0 0
0 2 1
2 3 3
10 9
1 1 0
0 1 0
1 1 2
2 1 2
0 2 2
1 0 0
1 2 1
1 2 0
2 0 1
2 2 2
10 3
2 2 0
0 0 0
2 0 0
2 0 1
1 0 0
1 1 0
0 1 2
2 1 1
1 2 2
0 0 2
10 9
0 1 2
1 1 1
2 1 0
0 2 0
0 1 1
2 2 1
2 1 2
1 1 2
0 0 1
0 2 2
10 4
0 2 1
2 0 3
2 1 1
3 0 0
0 2 3
1 3 2
2 2 3
2 3 2
1 3 3
1 0 0
10 2
1 1 0
0 2 0
1 0 2
2 0 2
2 1 2
2 2 0
0 0 0
1 1 1
0 2 2
1 0 1
10 6
0 1 0
1 1 0
2 0 1
2 0 0
0 1 2
0 3 3
1 1 3
1 1 1
1 3 0
3 1 0
10 2
1 2 0
2 1 1
3 2 0
0 2 1
2 0 3
3 2 2
0 0 0
3 1 1
1 1 0
3 1 0
10 5
2 0 1
1 0 0
1 1 0
1 0 2
0 2 1
1 2 2
0 0 0
0 1 1
2 1 1
1 0 1
10 8
0 0 2
0 2 2
1 2 2
0 0 0
0 0 1
0 1 1
2 1 1
2 2 2
0 2 1
0 2 0
10 8
1 1 0
1 2 2
0 0 2
2 0 2
2 0 0
0 2 0
1 1 2
2 1 2
0 2 1
1 1 1
10 3
2 1 0
0 1 1
2 1 2
2 0 1
1 1 2
2 0 0
1 0 0
0 1 0
2 2 1
2 0 2
10 4
2 3 1
2 2 0
0 0 2
2 0 3
3 2 1
1 1 1
3 3 1
1 0 0
3 3 2
0 1 1
10 6
1 1 2
2 1 1
2 0 1
2 0 2
0 1 0
2 0 0
0 1 2
1 1 0
2 1 2
1 0 0
10 4
0 1 1
0 2 1
2 1 2
0 1 2
0 0 0
1 0 1
2 0 2
2 2 2
2 2 0
1 2 0
10 9
2 2 1
0 1 2
0 2 2
0 0 1
1 1 2
2 0 2
1 0 2
1 2 2
2 1 2
0 1 1
10 4
1 1 0
1 2 0
0 2 2
0 1 0
1 0 1
2 0 1
0 2 1
1 2 2
1 2 1
0 0 1
10 5
3 2 3
1 3 3
3 0 2
0 1 0
0 2 2
2 0 1
0 1 2
0 1 3
0 2 1
2 2 2
10 7
1 2 2
0 1 0
1 1 0
1 0 2
0 2 1
2 0 2
1 0 1
0 1 2
2 1 2
2 1 1
10 9
1 1 2
0 1 0
3 2 2
0 3 2
3 3 0
1 3 0
3 3 1
3 3 2
1 0 0
0 0 1
10 7
2 1 2
2 0 0
2 1 0
0 2 1
1 2 1
0 1 1
1 1 1
1 0 0
1 2 0
0 1 0
10 6
2 3 3
0 0 1
1 1 3
2 3 1
3 0 2
1 2 1
2 0 2
1 0 1
2 2 1
1 1 2
10 2
2 1 0
1 1 3
0 0 2
2 0 3
1 1 2
2 2 3
3 0 2
2 1 2
3 0 0
2 3 0
10 8
0 0 1
1 2 2
0 1 0
2 1 1
0 0 0
2 2 0
2 1 2
2 2 2
1 0 2
0 0 2
10 8
2 0 3
1 1 2
0 3 3
0 3 2
0 0 3
3 0 3
3 3 0
3 1 3
0 0 0
3 1 0
10 6
1 1 0
1 2 2
0 1 2
1 1 2
2 0 1
0 0 1
1 2 0
1 0 1
0 1 0
1 1 1
10 4
3 3 1
1 2 2
2 1 1
1 0 2
1 1 0
3 0 3
3 2 0
2 3 1
3 0 1
0 2 0
10 7
0 3 0
1 3 3
1 0 2
2 1 1
3 2 2
0 3 1
2 0 2
2 3 2
1 2 1
2 3 1
10 2
0 1 1
0 2 2
2 2 2
2 2 0
2 1 0
1 0 2
1 1 0
0 0 2
2 1 1
2 1 2
10 4
1 0 0
0 1 2
0 2 1
1 1 0
0 0 2
1 2 1
2 2 1
1 0 1
2 0 0
2 2 0
10 7
0 2 0
1 1 2
3 1 1
2 0 3
0 0 2
1 3 2
3 2 0
3 1 0
1 0 0
3 3 1
10 6
2 0 2
2 0 1
2 2 1
0 1 0
1 0 1
1 0 2
0 0 2
1 1 0
0 2 2
2 1 0
10 7
3 1 3
3 0 1
3 2 1
3 1 0
2 1 0
1 3 2
1 0 2
3 0 2
3 1 2
2 3 0
10 9
1 3 2
1 2 2
3 0 2
1 1 1
1 3 1
3 2 2
0 3 1
1 0 1
1 3 0
1 2 1
10 4
1 0 2
0 0 2
2 1 0
1 2 1
0 0 1
0 1 0
0 2 0
1 1 2
1 0 0
2 0 1
10 2
2 2 2
0 0 2
0 3 2
2 0 3
0 3 3
1 0 0
1 1 1
2 2 1
0 3 1
3 1 2
10 8
2 2 3
3 1 0
1 2 1
3 0 3
0 1 0
0 3 0
1 0 3
3 3 1
2 3 3
3 0 0
10 7
2 1 1
3 3 2
0 1 1
1 1 0
2 0 1
3 1 0
1 1 3
1 3 2
0 3 2
0 0 2
10 2
2 1 0
1 3 3
0 0 1
0 3 0
3 2 3
0 1 0
3 0 2
2 3 3
3 1 2
1 3 1
10 9
1 1 3
0 2 2
2 3 1
0 3 1
1 1 1
0 2 1
0 2 3
2 3 0
1 2 1
1 2 0
10 8
0 1 1
2 1 0
0 0 1
0 2 1
2 2 1
2 1 2
0 2 0
0 0 2
1 2 0
2 0 2
10 8
0 3 3
3 0 1
3 0 3
3 1 3
0 2 0
3 1 0
1 3 0
2 1 1
2 0 1
3 2 2
10 6
1 0 3
2 0 2
2 1 0
1 2 3
0 1 2
3 3 0
1 3 0
3 1 3
0 3 3
1 2 2
10 6
2 2 0
1 1 2
1 1 1
0 2 1
1 3 2
1 2 1
2 0 0
3 1 3
1 2 2
0 3 0
10 2
2 2 1
2 0 2
3 2 2
1 1 3
1 0 2
3 0 0
3 1 0
1 3 1
1 0 1
2 2 3
10 5
2 0 1
1 2 2
0 0 0
1 0 2
0 2 1
0 2 2
0 1 2
2 2 0
1 1 2
1 0 0
10 3
2 1 2
1 1 2
0 1 0
1 1 0
0 2 0
0 1 1
1 0 2
2 2 0
2 2 2
0 0 2
10 2
3 2 2
1 3 2
3 2 3
0 2 0
0 3 3
3 1 2
2 3 0
0 2 1
0 0 2
3 2 1
10 2
2 1 2
0 2 0
1 1 1
2 0 0
0 1 1
2 2 1
0 2 1
0 2 2
2 0 2
1 0 0
10 7
2 2 1
2 1 2
2 2 0
0 1 1
1 2 1
0 2 0
0 2 1
0 2 2
0 1 0
0 0 1
10 6
2 1 0
1 0 2
2 0 0
2 2 1
0 0 1
1 0 1
0 2 0
2 0 1
2 0 2
2 2 2
10 4
0 0 0
2 1 0
1 1 0
1 2 2
0 2 1
0 0 2
2 1 2
0 0 1
0 1 0
2 2 1
10 2
0 2 1
2 2 0
2 2 1
0 2 2
2 1 0
2 1 2
0 0 2
0 1 1
1 0 1
2 2 2
10 8
1 1 2
2 2 0
1 2 0
0 0 1
1 0 0
2 0 0
1 0 2
1 2 1
1 0 1
2 2 1
10 7
3 1 1
2 1 1
1 2 1
3 3 0
1 0 0
2 0 2
1 1 3
3 0 3
0 1 1
2 0 1
10 2
1 0 0
0 0 3
3 2 2
1 2 2
3 3 2
2 1 2
3 0 1
0 0 0
3 3 0
2 2 3
10 9
2 1 2
2 0 1
1 0 1
2 1 0
0 0 2
0 2 0
0 1 2
0 2 2
1 2 2
0 1 1
10 6
0 3 3
0 0 0
0 2 1
3 0 2
2 1 1
0 0 1
0 0 2
1 1 0
2 1 3
1 3 0
10 9
1 2 1
3 0 3
2 0 0
3 2 1
1 0 2
3 0 2
2 0 3
0 0 1
0 1 0
0 3 3
10 4
0 0 0
0 2 2
2 0 1
1 2 1
2 1 2
2 2 1
1 0 1
1 1 0
0 0 2
1 0 0
10 5
2 3 1
3 2 3
3 3 0
0 2 3
0 2 1
0 1 1
1 2 3
0 3 0
0 1 0
3 1 0
10 6
2 0 1
0 2 2
0 0 2
2 1 1
0 0 0
2 2 1
0 1 2
0 0 1
1 2 1
0 2 0
10 2
3 2 3
0 3 3
1 3 2
1 3 3
2 3 3
0 1 3
2 3 1
3 3 3
2 1 0
2 3 2
10 5
2 2 2
2 1 1
0 2 1
2 2 0
2 1 0
2 1 2
1 2 0
1 0 1
1 2 1
0 1 0
10 5
0 0 1
2 1 2
1 2 2
1 0 2
2 0 0
2 2 0
2 1 1
1 2 1
0 1 0
1 1 0
10 8
0 3 0
3 2 3
1 0 0
3 3 3
3 3 0
1 1 3
3 3 2
3 1 0
0 0 0
3 0 3
10 6
2 1 1
1 1 1
0 2 1
2 2 1
1 1 0
0 0 2
1 2 1
0 2 2
0 2 0
1 2 2
10 6
0 1 0
1 1 1
0 1 2
2 2 2
2 1 2
0 0 0
2 0 0
1 1 2
1 0 1
0 1 1
10 7
2 2 1
0 2 1
2 2 0
1 1 2
0 1 0
0 0 2
0 0 1
1 2 1
2 0 0
1 1 0
10 8
0 2 0
1 1 0
3 1 2
3 0 3
3 2 0
0 2 3
1 1 2
0 0 1
0 2 2
2 1 0
10 6
3 2 0
0 2 3
2 2 1
2 3 3
0 1 1
1 3 1
3 1 2
3 0 3
1 0 0
1 1 3
10 8
0 2 2
2 1 2
1 2 0
0 1 1
1 1 1
0 2 0
2 0 0
2 2 1
0 0 0
2 1 0
10 4
1 2 2
2 1 2
2 2 2
0 1 1
1 2 0
2 2 0
0 2 1
1 0 2
1 0 0
2 1 0
10 3
0 1 2
3 3 2
0 0 0
0 3 2
3 0 2
3 1 3
1 0 3
3 2 3
1 3 2
0 3 3
10 8
0 1 0
1 1 1
2 1 2
3 2 1
1 0 2
3 3 1
3 0 0
3 2 0
1 2 0
0 1 2
10 5
0 1 0
0 0 2
3 0 1
1 3 0
0 1 2
3 0 3
3 1 2
2 2 3
2 0 2
0 2 1
10 7
0 2 0
3 1 2
1 1 0
2 1 1
1 1 3
2 1 3
2 0 1
1 0 1
1 2 1
0 3 2
10 6
0 3 2
0 2 0
3 0 3
1 3 2
2 1 3
3 2 2
2 0 0
3 1 0
1 1 0
0 2 3
10 3
2 2 1
3 2 1
0 3 2
0 2 2
3 0 3
3 2 3
0 2 1
2 0 2
2 1 3
2 2 3
10 3
2 2 0
1 2 2
1 1 1
0 0 1
0 1 1
0 0 0
1 2 0
2 0 0
0 2 1
2 0 1
10 2
3 1 0
1 0 0
2 3 1
2 2 2
2 0 2
2 0 3
3 1 1
3 3 0
3 0 3
2 3 3
10 9
2 1 0
3 3 2
0 2 3
0 1 1
0 2 0
1 3 2
0 0 1
3 2 0
3 3 3
1 3 3
10 2
1 2 2
0 1 3
0 2 3
2 0 3
3 0 2
2 2 1
2 2 3
2 2 2
0 1 0
2 3 1
10 9
2 1 2
0 3 3
0 0 3
1 2 3
2 3 3
1 3 2
0 2 1
1 1 0
1 3 3
2 2 0
10 3
1 1 2
1 2 0
0 2 1
1 1 0
0 1 0
1 0 1
2 1 2
1 1 1
0 0 2
1 2 2
10 3
3 3 2
1 0 0
3 1 3
2 3 2
2 3 0
1 3 2
0 1 0
0 0 1
3 2 2
2 3 1
10 4
1 1 0
2 0 1
0 0 2
0 2 1
0 0 0
1 2 1
2 1 2
1 0 1
0 1 1
2 0 2
10 2
0 0 1
2 1 1
1 1 1
0 0 2
1 1 2
2 2 0
0 1 1
1 2 0
1 2 2
1 2 1
10 9
2 0 2
0 3 2
3 1 1
3 3 1
1 3 3
3 3 3
1 3 1
0 1 0
2 3 0
1 2 2
10 7
2 2 2
3 1 3
2 2 1
1 3 3
1 2 0
1 2 3
2 1 1
3 3 3
2 2 0
2 1 2
10 4
0 2 2
2 2 1
2 1 1
2 2 0
1 2 0
2 1 2
2 0 1
0 1 0
0 1 2
0 0 1
10 2
0 0 1
0 0 3
1 0 1
3 2 3
2 0 0
2 0 1
3 3 2
2 3 1
2 2 1
1 2 1
10 5
0 1 1
0 2 1
0 3 3
0 2 3
1 1 1
3 2 2
3 1 3
3 3 0
1 0 3
2 2 1
10 6
1 1 1
2 1 0
0 0 0
2 2 3
0 2 0
0 0 1
2 2 0
1 0 3
3 3 3
1 2 3
10 6
3 2 0
2 3 0
3 1 1
1 1 1
1 0 2
3 3 3
2 0 3
1 1 3
3 2 3
3 0 3
10 9
0 1 0
0 0 0
2 0 0
1 2 2
2 2 0
0 0 1
1 2 1
0 2 2
1 1 0
1 0 2
10 6
3 0 1
0 0 1
2 0 2
0 3 2
3 2 3
1 2 3
3 1 2
3 2 1
0 0 0
2 1 0
10 3
2 1 3
2 2 0
0 0 1
1 2 1
0 2 2
2 0 2
0 3 1
2 3 1
3 3 1
2 0 0
10 9
2 2 1
1 0 0
0 1 1
0 3 1
1 1 1
0 0 0
3 3 1
3 3 0
0 2 1
3 1 0
10 8
1 1 1
2 2 1
0 2 0
0 1 1
0 0 2
2 1 0
0 0 0
2 1 1
2 0 0
1 2 2
10 7
0 0 2
0 1 0
1 0 1
0 2 0
2 1 2
2 1 1
0 1 1
2 1 0
1 2 0
1 1 2
10 5
3 3 1
0 3 3
2 3 1
0 2 0
2 0 0
1 0 0
3 2 1
2 2 1
1 2 1
3 1 0
10 5
2 1 0
0 1 1
1 2 1
2 1 2
0 2 1
1 2 2
1 0 2
0 0 2
2 1 1
2 0 0
10 4
1 0 1
1 0 2
1 2 3
1 1 2
0 1 2
0 3 3
3 0 0
2 1 2
3 1 1
1 0 3
10 5
0 2 0
2 2 0
2 0 1
0 0 0
1 1 2
1 2 0
2 0 0
1 1 0
0 1 1
1 1 1
10 6
1 1 1
0 2 0
1 1 0
2 2 2
2 0 2
0 0 0
0 2 1
2 2 1
0 2 2
0 0 1
10 7
2 1 1
2 2 2
1 0 2
2 2 0
2 1 2
2 0 2
2 2 1
0 1 0
0 1 1
1 1 2
10 3
2 2 0
2 1 0
3 3 3
2 1 1
2 1 2
2 2 1
2 2 3
3 2 0
0 3 2
3 3 0
10 8
2 2 1
1 2 1
2 2 0
0 0 2
1 2 0
2 0 1
0 0 0
0 0 1
1 1 1
2 0 2
10 7
3 2 1
0 3 0
2 2 1
3 3 1
2 2 2
1 2 2
3 2 3
0 2 0
0 1 1
0 3 3
10 4
0 2 3
3 3 0
2 2 0
2 3 1
2 0 0
0 1 0
1 1 1
1 0 2
3 2 2
0 3 3
10 9
1 2 1
3 0 3
0 1 1
0 0 3
1 0 3
0 2 2
2 3 3
1 1 3
1 1 2
2 1 1
10 8
1 1 2
2 0 2
0 2 0
0 2 1
0 0 2
0 1 2
2 0 1
1 0 1
2 2 0
1 2 0
10 2
0 1 0
1 1 0
0 0 0
1 0 1
0 2 0
2 0 1
1 0 2
0 0 1
1 2 2
0 1 2
10 8
2 2 1
2 0 1
0 1 1
1 2 0
2 0 2
2 1 0
2 1 2
2 2 2
0 2 2
1 1 1
10 3
2 1 2
1 1 1
0 0 2
1 0 2
0 2 2
0 0 0
1 2 2
0 2 1
1 0 0
0 1 2
10 6
3 1 1
1 3 1
1 0 0
3 3 2
0 2 0
2 2 1
2 3 2
0 1 3
3 3 1
1 0 3
10 7
1 1 2
0 3 3
2 1 0
0 2 1
1 0 3
1 0 0
2 1 2
3 1 1
0 3 0
3 3 0
10 9
0 2 2
0 0 2
2 0 0
0 1 1
1 1 0
1 0 2
2 2 1
1 1 1
0 1 2
1 2 0
10 4
1 1 1
1 0 1
1 0 0
1 2 1
0 0 2
2 0 0
0 0 1
2 1 1
0 1 1
1 0 2
10 5
2 0 1
0 2 3
1 3 2
3 2 2
1 2 0
1 1 0
0 0 1
2 1 3
0 3 3
3 0 3
10 4
2 2 2
0 2 1
0 1 2
1 2 0
2 1 1
2 1 0
0 1 0
0 2 2
2 0 2
2 0 0
10 3
1 3 0
2 3 1
3 1 1
2 1 3
2 0 1
0 3 1
0 1 0
3 3 0
0 3 2
0 0 0
10 3
2 0 0
2 1 1
1 1 2
2 1 0
2 2 2
0 2 2
0 0 0
1 0 2
2 1 2
0 1 0
10 6
1 3 2
3 2 0
1 0 3
2 1 2
2 3 3
0 1 0
0 3 3
0 1 1
3 0 2
1 0 1
10 8
3 0 3
1 1 3
1 3 2
1 0 1
3 0 0
0 1 1
3 2 2
0 3 3
3 3 1
2 0 3
10 3
0 2 0
2 0 2
2 0 1
0 0 1
1 2 0
0 0 2
2 1 0
2 2 0
1 1 2
0 2 1
10 3
2 1 2
2 2 0
0 0 0
2 0 2
1 1 2
2 1 0
1 2 2
1 1 0
1 0 2
1 1 1
10 7
1 1 1
0 0 0
1 2 2
0 1 2
1 3 2
3 1 2
0 0 1
3 2 2
3 2 3
2 1 1
10 8
0 2 2
3 3 0
0 3 0
0 3 1
0 3 3
1 0 2
1 1 1
2 3 2
0 3 2
0 1 1
10 6
0 1 0
1 2 1
2 3 3
0 0 2
0 3 0
0 2 1
1 0 0
0 2 0
0 3 3
2 2 1
10 2
2 0 2
2 0 1
1 2 1
2 1 0
0 0 1
2 2 2
1 0 0
1 1 2
1 2 0
0 2 1
10 2
0 2 1
1 0 2
0 3 1
3 1 1
0 1 1
2 2 1
1 0 1
0 0 3
1 1 0
1 2 2
10 2
1 0 2
1 1 1
0 2 2
1 0 0
0 0 0
2 0 1
0 2 0
2 1 0
2 2 2
1 2 2
10 8
1 2 1
2 0 0
0 1 2
2 2 2
1 2 0
2 0 2
0 2 1
1 1 0
2 2 0
1 1 1
10 3
0 2 2
2 2 3
1 3 3
3 0 2
3 2 0
2 3 3
1 3 0
2 3 1
0 1 2
1 0 3
10 6
1 1 1
2 1 3
1 3 1
2 0 2
1 3 0
2 2 3
2 1 2
2 3 3
3 2 1
3 3 3
10 6
2 0 0
1 1 1
1 2 3
0 3 3
0 2 3
2 1 3
3 1 2
3 1 0
3 2 3
0 1 2
10 5
0 0 1
2 0 1
2 1 1
0 1 0
1 2 1
0 1 2
1 0 1
0 2 0
0 0 0
2 1 0
10 6
3 0 3
1 3 3
0 2 3
2 0 1
3 2 3
0 1 1
3 1 1
1 3 2
0 2 0
1 2 1
10 8
0 2 2
3 1 3
2 3 1
2 3 2
0 3 2
2 2 2
1 3 0
2 2 1
2 2 0
2 2 3
10 9
2 0 2
0 0 0
1 1 0
2 2 2
1 2 0
2 0 1
1 0 2
1 2 1
2 1 1
0 2 2
10 6
1 0 1
2 0 2
2 0 1
1 1 1
0 1 2
1 1 2
2 2 1
0 0 2
1 0 2
2 0 0
10 6
1 0 1
1 1 1
2 0 1
2 2 0
1 2 0
1 2 2
0 1 1
0 2 0
0 0 2
0 0 0
10 5
2 1 1
0 1 2
2 2 0
2 0 1
1 2 2
2 2 1
1 0 1
0 0 1
1 1 1
1 0 0
10 5
2 1 1
2 1 2
2 2 1
2 0 0
1 2 0
1 2 2
0 1 0
0 0 1
0 0 0
1 0 2
10 7
2 1 0
2 0 2
2 0 1
1 1 1
1 0 0
2 2 1
1 0 1
0 2 2
0 0 2
2 0 0
10 4
0 1 1
3 2 1
1 1 2
2 3 0
1 2 1
3 1 0
0 1 3
2 3 3
2 3 1
3 0 3
10 3
0 0 2
2 1 0
0 1 0
0 2 2
1 0 0
0 2 0
2 2 2
1 0 2
0 2 1
2 1 2
10 7
0 0 1
0 1 0
0 2 2
1 0 2
2 1 0
2 2 0
0 0 0
2 0 0
1 1 2
1 0 0
10 9
1 0 3
2 0 0
3 0 3
1 2 3
2 2 0
1 1 3
1 0 0
0 3 1
2 3 3
1 3 3
10 9
1 2 2
2 0 3
2 0 2
2 2 3
0 2 2
1 1 2
3 3 1
3 2 2
3 3 0
0 0 2
10 4
2 1 2
2 2 0
1 0 1
1 3 0
1 1 0
3 1 1
2 3 0
0 2 1
1 2 2
2 2 1
10 3
0 3 3
3 0 1
0 3 1
0 1 0
1 2 2
2 3 1
1 1 1
3 2 1
1 3 1
1 2 0
10 3
3 3 0
3 2 3
0 0 0
2 1 3
1 1 3
2 0 0
1 0 2
2 2 0
2 3 2
2 1 0
10 2
1 2 0
0 0 0
2 1 2
2 0 2
2 1 0
0 2 2
2 2 2
2 2 0
1 2 1
0 2 0
10 5
0 1 1
2 1 2
2 2 0
0 0 0
2 0 0
1 0 0
1 1 0
2 1 0
0 1 0
1 0 1
10 8
0 1 1
1 1 1
1 2 2
1 0 0
0 2 1
0 1 2
1 1 2
0 1 0
1 0 1
2 0 0
10 2
2 2 0
1 1 2
1 1 1
1 0 2
2 2 1
2 1 2
1 1 0
0 0 0
0 1 0
2 0 1
10 9
0 0 0
0 0 2
3 3 0
2 2 2
0 3 1
1 0 0
1 1 1
2 3 0
0 0 3
1 1 2
10 9
3 3 3
3 2 0
1 1 1
3 2 1
0 0 2
3 1 0
0 1 2
0 1 0
3 0 0
1 0 3
10 6
1 2 0
2 0 2
2 0 0
1 1 2
1 1 0
0 2 0
1 0 2
0 1 1
0 0 0
0 1 2
10 5
3 0 0
0 0 1
1 2 2
3 2 2
0 1 1
1 3 1
3 3 2
1 1 2
2 0 3
0 0 3
10 3
0 1 2
1 2 1
2 3 3
1 3 0
2 0 1
1 2 3
2 2 0
1 3 3
3 0 2
0 1 0
10 4
1 0 2
2 0 1
2 0 2
2 2 0
0 0 0
1 2 2
2 1 1
0 2 2
2 2 1
1 2 0
10 2
1 1 1
0 2 2
1 0 1
0 2 0
0 0 1
2 0 0
2 1 1
0 1 0
1 2 0
1 2 2
10 2
0 0 2
1 2 1
1 1 1
1 2 0
0 0 0
0 0 1
2 0 1
2 0 2
1 1 0
2 1 1
10 4
0 1 0
0 0 1
1 1 1
0 0 0
0 1 1
2 0 2
0 2 0
1 1 0
1 0 1
2 1 2
10 7
0 2 1
2 0 2
2 1 2
0 0 0
1 0 0
2 0 1
2 2 0
1 0 1
0 1 2
0 1 1
10 3
0 0 2
2 1 2
1 1 2
1 2 1
2 2 1
0 0 1
2 1 0
1 1 1
0 0 0
0 2 2
10 4
1 2 1
1 1 0
2 2 2
1 2 2
2 1 2
2 2 1
2 0 2
2 2 0
0 1 1
0 2 1
10 2
1 1 0
0 2 0
1 0 0
0 1 2
1 1 2
2 1 0
1 1 1
2 0 2
1 2 1
0 2 2
10 9
0 1 1
1 0 2
0 1 2
1 0 0
0 2 0
1 2 0
0 2 1
2 2 2
2 1 2
2 1 0
10 2
0 2 1
2 0 0
2 0 2
0 0 0
0 2 2
2 2 2
0 0 2
1 1 2
2 1 2
1 1 0
10 6
1 2 2
0 0 1
2 2 0
0 0 0
1 0 2
1 2 0
2 0 1
2 1 2
2 1 1
1 0 0
10 6
0 2 0
1 0 2
2 2 1
1 1 1
2 1 0
2 2 0
0 0 0
0 1 2
1 0 1
1 1 2
10 4
1 0 1
2 1 1
1 1 1
1 1 3
3 0 0
0 1 1
3 1 2
2 2 1
2 0 0
2 3 2
10 4
1 3 1
3 0 0
3 0 3
2 0 3
0 3 1
0 0 1
3 3 0
1 0 3
0 0 2
0 0 3
10 6
2 3 3
1 2 3
1 2 0
0 3 0
3 2 3
3 1 2
2 0 1
2 3 1
3 0 0
3 1 0
10 4
1 3 2
3 3 3
0 0 0
3 1 0
0 2 3
3 1 3
3 0 2
2 0 2
1 2 3
0 0 2
10 2
0 1 2
1 2 1
1 1 0
2 2 0
2 0 0
2 2 2
2 2 1
2 1 2
0 2 2
2 1 1
10 5
0 1 0
2 2 2
2 3 3
3 2 1
0 1 3
1 2 0
1 3 1
0 2 0
3 1 3
0 1 1
10 9
2 0 0
2 0 1
2 0 2
0 0 1
0 2 0
2 2 1
1 1 1
2 1 0
1 1 2
0 0 0
10 4
0 1 2
1 2 2
2 1 2
1 2 0
1 1 1
2 1 0
0 0 2
0 2 1
0 0 0
0 2 2
10 8
0 0 0
2 1 1
0 2 0
2 0 1
1 0 1
0 1 0
0 0 2
2 0 0
1 1 0
0 2 1
10 8
0 2 0
1 2 1
1 1 2
2 2 2
1 1 1
0 0 2
2 1 1
0 1 2
2 0 0
0 2 2
10 8
0 1 0
2 0 0
3 3 1
0 2 3
2 0 1
1 2 1
1 0 2
1 3 2
3 0 2
0 1 2
10 9
0 1 2
2 2 1
2 0 2
0 1 0
0 0 0
1 1 0
2 0 0
2 1 2
1 2 0
2 2 2
10 5
0 1 0
1 0 2
2 2 0
2 0 0
0 0 0
1 2 2
0 1 2
1 2 1
0 1 1
2 1 1
10 6
3 3 1
3 1 2
0 1 3
3 2 2
3 1 3
0 3 0
1 2 0
1 1 2
0 0 0
1 2 1
10 8
1 0 2
2 1 2
0 1 2
1 1 0
1 0 1
0 2 0
0 0 0
1 2 0
0 0 1
2 1 0
10 8
1 2 0
1 0 2
1 0 1
0 0 2
2 2 2
0 2 1
2 2 1
0 2 2
1 1 1
0 1 1
10 9
1 2 0
0 0 1
2 1 0
2 0 0
2 2 0
1 1 0
1 1 1
2 2 1
1 2 2
1 0 1
10 3
0 0 0
1 2 1
2 2 2
1 1 0
0 1 2
2 1 0
2 2 0
0 0 1
1 0 0
0 2 0
10 6
0 0 3
2 1 0
3 3 2
1 0 1
0 0 0
2 3 0
0 1 1
3 2 1
3 1 2
1 2 0
10 9
2 3 1
3 3 0
1 3 1
3 0 2
2 1 0
3 2 3
2 2 2
0 2 1
2 3 3
1 1 3
10 2
2 2 2
0 2 2
2 0 0
0 1 2
2 0 1
1 2 1
2 1 0
1 1 2
2 1 1
1 2 2
10 7
1 2 1
2 0 3
2 0 1
0 2 0
0 2 2
1 2 2
3 1 3
1 3 2
3 2 0
0 2 1
10 7
1 3 1
0 3 1
3 3 0
1 1 0
2 0 2
0 0 0
1 3 0
0 2 2
0 2 0
1 2 2
10 2
1 0 0
1 0 1
0 0 0
0 1 0
1 0 2
1 2 0
1 2 1
2 2 2
0 2 0
2 1 0
10 3
1 1 3
3 3 2
2 1 1
0 1 1
0 1 3
0 2 2
3 0 0
0 0 0
3 0 2
2 0 3
10 3
3 1 2
3 0 0
1 2 3
2 1 3
3 2 1
1 3 2
1 1 1
1 3 0
0 0 2
0 1 1
10 6
0 0 0
2 2 1
1 2 2
0 1 2
1 2 1
2 2 0
1 0 2
2 1 1
1 1 0
1 1 1
10 2
3 1 3
1 1 0
3 2 1
1 0 0
2 2 3
2 1 2
1 1 1
0 3 3
0 2 0
3 2 0
10 7
2 3 1
3 0 1
3 3 3
0 2 2
1 2 2
3 0 2
2 2 3
1 2 1
3 1 0
2 3 3
10 9
2 1 2
1 0 3
3 0 1
2 3 1
2 2 3
1 3 3
1 0 2
3 0 0
2 1 0
2 3 0
10 2
2 0 2
1 2 2
1 1 1
1 0 1
0 2 1
2 0 0
2 1 0
1 0 0
0 2 0
2 0 1
10 6
1 0 0
0 2 0
2 0 1
2 2 0
2 2 1
2 1 0
1 2 2
0 0 1
1 1 1
1 0 1
10 8
2 0 0
3 3 3
0 2 0
0 2 2
1 3 0
1 2 1
2 2 3
1 3 2
3 1 2
0 1 1
10 3
2 0 3
0 3 3
1 1 1
3 2 1
2 1 3
1 1 0
2 3 2
3 1 1
2 1 0
3 2 2
10 6
0 2 2
0 0 0
2 2 1
0 2 1
1 0 0
2 0 1
2 0 2
2 1 1
0 1 1
1 2 0
10 2
2 2 2
3 2 3
1 2 0
1 3 3
1 3 2
2 0 2
0 0 0
2 0 0
0 1 0
3 2 0
10 7
0 1 3
3 3 1
2 3 2
1 0 3
0 2 0
3 3 0
1 2 2
2 2 0
3 1 2
1 1 3
10 3
0 1 3
3 1 0
0 2 2
1 0 1
3 2 3
2 0 3
1 0 3
1 0 0
2 3 3
2 2 2
10 5
3 0 1
1 1 3
2 2 3
3 3 1
0 0 2
0 0 3
3 0 0
3 3 2
1 0 2
2 3 2
10 9
1 2 2
1 2 1
1 3 1
2 3 2
0 3 3
1 1 0
2 0 3
0 1 3
3 2 1
3 0 2
10 9
2 2 2
1 2 2
0 0 2
2 1 0
2 1 1
2 2 1
2 2 0
0 1 2
0 0 1
1 1 0
10 6
1 2 1
1 1 2
0 2 3
1 1 0
3 2 1
1 3 1
0 0 0
2 2 0
0 1 3
3 1 0
10 5
3 1 0
2 0 0
3 3 0
0 2 0
0 0 0
0 1 1
2 1 2
1 0 3
1 3 2
3 3 2
10 5
0 3 2
1 1 0
3 0 2
0 3 0
0 3 3
1 3 1
3 3 3
0 0 1
1 1 1
1 0 3
10 5
2 2 2
0 1 2
1 0 2
0 0 2
1 1 1
2 2 1
1 2 0
0 1 0
2 1 1
2 0 1
10 6
0 2 1
2 1 0
1 0 2
1 0 0
2 1 1
1 2 2
0 0 2
0 0 0
2 0 1
1 2 0
10 4
0 0 2
1 0 1
0 1 0
1 1 1
0 2 0
2 0 1
2 2 0
1 2 0
1 2 2
0 0 0
10 3
0 2 3
0 0 1
1 3 2
3 0 2
0 1 0
3 1 2
3 0 0
1 3 1
0 2 2
2 2 2
10 2
1 2 2
2 1 1
0 2 0
0 0 1
2 2 1
0 0 2
2 2 0
0 2 2
1 2 1
0 0 0
10 6
3 1 2
0 3 2
2 2 0
2 3 3
2 3 1
2 1 3
1 0 0
0 2 3
2 2 1
1 2 0
10 6
1 0 0
2 2 2
1 2 2
2 2 0
1 1 1
1 0 1
2 1 1
1 1 0
2 0 1
1 2 0
10 3
3 3 2
3 0 1
3 1 2
1 1 1
3 1 1
0 2 3
0 0 1
3 1 3
1 1 0
1 2 2
10 8
0 1 0
1 2 1
2 0 2
1 1 1
2 2 1
0 1 1
2 0 1
1 1 2
1 1 0
2 1 0
10 3
3 3 2
2 2 0
2 1 0
0 0 1
1 1 1
0 0 2
2 3 1
1 0 2
3 2 0
2 0 1
10 9
2 0 0
2 0 2
1 1 1
1 0 0
2 2 2
0 1 1
0 0 1
0 0 0
1 2 0
0 2 2
10 5
1 1 2
1 1 1
1 0 2
0 2 2
0 0 2
2 1 2
1 2 0
0 2 1
2 2 2
2 0 1
10 2
0 0 1
2 0 2
0 2 1
0 0 2
1 1 1
1 1 2
0 0 0
2 2 2
1 0 1
0 1 2
10 8
1 2 3
0 3 3
1 1 0
2 1 0
3 1 0
1 3 2
0 1 2
2 1 1
3 3 1
3 1 2
10 2
0 2 1
2 0 1
0 2 0
1 1 2
0 1 0
1 2 1
0 1 2
2 0 2
0 0 1
2 1 2
10 3
1 2 1
0 2 1
2 2 1
0 2 2
1 1 1
2 2 2
1 0 2
0 0 1
2 0 0
0 1 0
10 9
2 0 0
1 2 1
2 0 2
2 1 0
0 2 0
0 2 2
1 0 2
1 1 2
1 2 0
0 0 1
10 7
2 0 0
1 0 1
0 2 2
0 0 0
2 1 2
0 0 1
1 1 2
0 0 2
1 0 2
2 1 0
10 2
1 2 0
1 0 0
2 0 0
0 2 2
0 1 2
0 1 0
0 0 1
0 1 1
2 2 2
2 0 1
10 5
1 2 3
1 3 2
3 1 2
3 1 1
0 3 0
3 2 3
2 0 1
0 3 1
0 0 1
2 0 0
10 9
0 0 1
3 1 0
2 3 0
1 0 1
2 2 3
3 2 1
3 0 1
3 2 2
3 1 3
2 1 0
10 6
1 0 2
0 1 1
0 2 2
1 1 1
2 2 1
0 1 0
2 1 0
0 0 2
1 0 1
0 2 1
10 7
1 2 2
0 1 2
0 2 2
1 1 2
2 1 0
1 2 1
1 1 1
0 1 0
2 0 1
0 0 2
10 9
1 3 0
2 3 2
0 3 0
2 0 0
2 3 1
2 0 1
0 1 2
0 1 3
0 1 1
3 0 1
10 8
3 2 2
1 0 1
2 3 2
2 0 3
2 1 1
0 2 2
3 2 0
1 2 3
0 2 1
0 0 0
10 3
1 1 0
2 0 2
1 2 0
0 0 0
1 0 2
2 0 1
2 1 1
2 2 2
1 0 0
2 1 2
10 7
0 1 2
1 1 2
0 0 1
2 2 2
2 2 1
1 2 1
0 2 2
1 1 1
2 0 0
1 0 1
10 9
3 0 1
0 0 1
2 3 0
0 1 1
0 1 3
0 2 2
1 2 1
0 0 0
0 3 3
2 3 2
10 6
0 0 0
0 2 2
2 1 1
1 0 1
3 2 1
3 2 0
3 1 0
3 3 2
1 2 1
2 3 3
10 7
0 0 1
1 0 2
3 3 3
1 1 0
2 1 1
1 3 1
3 3 1
1 3 3
3 3 0
2 3 2
10 2
1 0 2
2 2 0
1 2 0
1 0 0
2 0 0
2 1 0
2 2 2
2 1 1
1 1 2
1 1 1
10 5
2 1 0
3 2 1
3 0 2
0 0 1
2 3 1
2 2 2
1 3 1
0 3 1
2 2 1
3 1 2
10 9
1 2 1
0 1 2
1 2 2
1 1 1
1 1 2
2 2 1
0 1 1
2 0 0
2 0 1
1 0 2
10 6
0 2 2
0 3 2
2 1 2
1 0 0
0 2 0
2 3 0
1 1 2
3 1 0
1 2 3
1 2 0
10 6
0 2 0
0 0 0
2 1 0
0 0 2
0 1 2
0 1 0
0 0 1
2 0 2
1 0 0
2 0 1
10 4
2 1 1
2 0 2
2 2 1
1 1 1
2 0 1
0 1 2
0 2 1
2 2 2
1 0 2
0 2 2
10 6
0 0 1
0 2 3
1 2 1
1 0 3
2 1 1
0 3 0
0 1 0
1 3 0
3 1 2
2 2 3
10 5
1 0 2
0 2 0
2 1 1
1 1 1
1 1 0
2 2 2
2 0 0
1 1 2
0 1 0
1 0 1
10 4
3 2 1
3 3 2
0 0 0
2 2 0
1 1 0
0 0 2
0 3 0
2 3 1
3 2 2
0 1 1
10 8
2 0 0
2 0 2
1 1 2
1 3 2
0 1 0
2 2 1
3 0 3
0 0 2
1 2 2
1 1 3
10 5
2 2 1
2 2 0
1 0 0
3 1 1
3 0 1
0 1 0
1 3 0
3 2 3
0 2 3
3 0 0
10 8
2 0 2
0 1 0
2 2 2
1 0 1
2 0 0
0 2 0
0 2 1
2 0 1
2 1 1
1 1 1
10 6
2 3 1
2 0 2
1 2 3
2 0 0
2 2 3
3 3 2
3 1 0
0 3 3
0 1 3
1 1 3
10 3
0 2 2
1 1 2
0 0 2
0 0 0
2 2 1
2 1 0
0 1 1
0 0 1
0 2 1
0 2 0
10 6
1 0 3
3 2 2
3 1 2
2 3 3
0 3 3
2 1 3
2 0 3
1 0 0
0 3 2
1 1 3
10 5
0 2 1
1 1 2
2 0 1
2 0 2
1 0 1
1 2 1
2 2 1
1 0 2
0 0 2
2 2 0
10 4
2 0 2
0 0 1
1 1 2
2 2 2
1 0 2
0 2 0
2 1 2
1 2 2
0 1 0
0 0 0
10 2
0 1 0
0 2 1
3 0 1
0 2 3
3 0 3
2 2 3
1 1 0
3 3 0
2 1 0
2 0 0
10 6
2 0 0
0 2 0
2 0 1
1 0 0
0 0 0
2 2 0
2 2 1
2 1 0
0 1 0
1 1 2
10 9
0 2 1
2 0 0
1 1 0
1 1 1
0 1 2
2 1 2
1 0 1
2 0 2
1 2 2
0 1 1
10 5
1 1 1
0 0 0
1 2 2
0 2 0
1 1 2
1 2 1
1 2 0
2 0 2
0 0 1
2 2 0
10 7
2 2 0
2 0 1
2 1 0
0 1 1
2 2 1
1 1 0
0 0 1
0 0 0
1 0 1
1 2 2
10 6
3 1 3
1 0 1
2 0 2
1 1 0
0 2 2
2 1 2
0 2 0
3 0 0
2 2 1
2 1 3
10 9
3 3 1
3 0 0
2 3 2
1 2 2
1 1 3
3 2 0
1 2 0
0 0 1
2 0 3
2 1 1
10 4
1 3 0
1 3 1
2 3 2
2 2 3
0 3 1
0 1 1
3 1 1
2 3 0
0 3 0
1 3 2
10 8
2 2 2
1 2 0
1 1 1
1 1 0
0 2 0
1 2 1
1 0 1
0 0 0
0 2 2
0 1 1
10 6
2 1 1
0 1 2
1 0 0
0 0 2
2 0 0
0 0 0
1 0 1
2 2 0
1 2 0
2 1 2
10 8
3 2 0
1 0 1
0 0 1
0 3 1
3 3 0
1 3 1
3 3 3
1 1 1
3 1 0
2 3 3
10 3
1 2 2
2 0 2
2 1 0
1 0 2
1 1 1
0 2 2
1 0 0
1 0 1
2 2 0
0 0 2
10 4
0 1 0
0 0 0
1 0 2
1 2 0
2 0 0
2 0 1
2 0 2
1 1 2
0 0 2
1 2 1
10 7
1 0 1
2 1 2
1 2 1
1 1 0
0 2 1
1 2 0
0 1 0
0 1 2
2 0 1
2 2 0
10 4
1 2 1
2 3 1
1 1 0
0 2 0
1 2 0
2 3 0
2 3 2
2 0 0
1 1 3
2 3 3
10 3
0 1 2
2 2 0
1 2 0
0 2 0
2 1 0
2 0 0
0 1 1
1 0 2
2 1 1
1 0 0
10 4
2 1 2
0 1 2
0 2 1
2 1 1
2 0 1
2 0 0
1 1 2
1 1 0
1 2 2
2 2 1
10 4
2 1 1
2 1 0
0 1 0
2 2 2
1 0 2
2 0 0
0 0 2
2 0 2
2 1 2
0 1 2
10 2
2 1 2
1 3 0
3 1 3
2 0 0
3 0 0
0 1 3
3 3 1
3 3 2
0 0 2
0 3 2
10 4
2 1 0
1 1 1
1 0 0
2 0 0
2 2 0
2 1 2
2 2 2
1 2 1
0 2 1
1 1 0
10 5
1 2 1
1 1 0
2 2 1
1 0 0
0 2 0
2 1 1
0 0 1
0 2 1
2 2 2
1 2 0
10 7
0 0 0
1 1 1
1 0 1
1 2 0
1 1 0
1 2 1
2 1 2
0 2 1
1 0 2
2 1 0
10 5
1 2 2
0 0 2
0 2 1
1 0 1
1 0 2
1 2 0
2 2 1
1 1 0
2 1 0
0 2 0
10 5
1 2 3
1 2 0
2 2 2
3 2 2
2 1 1
1 3 1
2 1 3
3 1 2
2 3 0
3 0 1
10 2
2 2 1
0 0 0
1 1 2
1 2 2
1 0 2
2 0 1
2 1 0
0 2 2
0 0 2
1 2 1
10 2
0 3 3
0 1 2
1 1 0
2 2 3
0 1 0
3 1 3
1 1 2
0 2 3
0 0 2
0 1 3
10 8
1 1 2
2 2 0
1 0 1
2 2 1
1 0 2
2 0 0
0 1 2
0 0 2
2 0 1
0 0 1
10 2
1 2 1
1 0 0
1 0 1
1 1 0
0 2 1
2 2 1
0 1 1
0 2 0
2 1 0
2 0 0
10 5
0 2 0
1 2 1
0 1 2
0 0 0
0 1 0
1 0 2
2 2 2
1 1 2
0 2 2
0 1 1
10 5
0 0 0
1 0 1
2 1 1
0 0 2
1 1 1
2 2 1
1 0 2
1 2 1
2 1 0
2 2 2
10 8
1 1 1
0 1 1
1 0 2
2 0 1
0 0 0
0 1 0
1 2 0
0 2 2
2 0 0
2 2 0
10 6
2 2 2
2 0 2
0 2 0
0 0 2
2 1 2
2 1 1
1 0 1
0 1 0
2 0 1
2 2 0
10 5
2 2 1
1 0 2
1 0 0
2 0 2
0 0 2
0 2 2
0 0 0
0 2 1
1 1 1
1 2 1
10 2
2 1 2
2 2 2
2 1 3
2 0 2
0 1 1
3 1 2
2 3 2
3 2 0
1 1 2
2 1 0
10 8
2 0 1
0 0 2
0 3 3
2 1 0
1 0 0
2 1 3
3 0 0
2 1 2
3 1 1
2 3 0
10 5
1 2 2
1 0 2
2 1 0
0 1 1
1 1 2
1 1 1
2 0 0
0 2 2
0 2 0
0 0 1
10 9
0 1 2
2 2 1
2 1 1
0 0 1
2 2 2
0 1 1
1 2 0
1 1 0
0 2 2
1 1 1
10 3
0 0 3
3 0 3
2 0 1
2 2 1
2 2 2
0 2 3
1 2 2
0 0 0
2 3 0
1 3 1
10 5
2 2 0
0 2 2
1 1 1
1 0 0
2 0 0
0 1 1
0 2 0
2 0 1
1 2 2
1 1 0
10 6
0 2 3
0 0 1
3 1 1
1 0 0
2 3 2
1 1 2
2 0 0
2 1 3
1 2 2
2 1 1
10 3
3 2 0
2 2 3
1 1 3
0 3 2
2 1 1
2 1 3
1 0 1
2 3 1
2 1 2
3 3 1
10 2
1 0 0
0 2 3
1 0 3
0 3 0
3 3 0
2 3 1
0 3 2
0 0 2
1 2 3
2 0 2
10 9
1 3 0
2 1 1
0 2 2
0 3 0
3 0 1
2 3 3
2 2 1
3 1 1
3 3 1
1 3 2
10 4
0 3 0
0 2 2
1 3 2
2 1 2
3 1 2
3 3 3
3 3 1
1 1 3
0 0 1
1 3 1
10 8
2 0 2
2 1 1
3 0 1
1 1 0
2 0 3
2 2 0
2 1 3
1 1 3
2 0 1
1 2 1
10 2
0 0 0
1 1 0
1 2 2
2 0 2
1 0 0
2 2 2
0 1 2
0 1 0
2 1 1
2 1 2
10 2
1 1 0
0 1 2
2 1 2
2 1 0
1 2 1
0 0 2
0 0 0
1 1 1
0 1 1
2 1 1
10 5
0 0 0
2 1 2
1 1 2
2 2 0
2 2 1
1 0 1
2 0 2
1 2 0
1 2 1
0 1 1
10 2
0 1 1
1 1 1
1 0 1
1 0 0
0 1 2
0 0 1
0 1 0
1 0 2
2 1 1
0 0 0
10 7
1 0 3
3 3 0
2 0 3
1 1 0
0 2 2
1 0 0
0 1 2
2 2 0
3 3 3
1 0 2
10 7
0 1 0
0 2 1
1 0 2
0 2 2
2 2 2
1 1 1
0 0 2
1 0 1
0 2 0
1 2 0
10 2
0 0 0
0 1 0
1 1 0
1 2 0
2 2 2
1 0 2
2 0 2
1 0 0
2 1 1
1 0 1
10 6
1 1 0
2 0 1
1 3 0
0 1 1
3 0 0
0 0 0
2 2 3
3 1 1
3 1 3
0 3 2
10 7
2 0 1
1 0 1
2 1 0
0 2 2
0 1 0
0 1 2
3 1 0
2 0 3
3 1 3
2 0 0
10 6
1 0 2
0 1 1
1 1 0
0 2 2
1 1 1
0 1 2
2 0 2
2 1 2
1 2 0
2 1 1
10 9
2 0 1
1 2 0
1 0 1
1 1 0
2 1 1
0 2 1
0 2 2
2 1 0
0 0 1
0 1 2
10 7
3 3 1
2 2 0
1 1 3
2 2 2
3 0 2
1 1 2
3 2 0
1 2 0
1 2 3
3 1 3
10 2
0 3 0
3 1 3
0 1 3
2 1 0
1 0 1
1 1 2
0 0 1
0 2 3
2 0 1
0 0 3
10 7
0 0 1
2 1 0
1 1 2
0 0 0
2 2 2
2 1 2
2 0 2
0 1 0
2 2 0
0 2 2
10 7
2 0 2
1 1 0
0 0 0
1 2 2
0 2 2
2 0 1
0 1 0
1 2 0
0 2 1
0 1 2
10 6
0 2 1
0 1 1
0 2 0
2 0 0
2 0 2
1 1 0
2 2 1
0 2 2
1 2 0
2 1 0
10 9
0 1 2
0 0 1
1 2 2
1 1 2
2 1 1
2 0 1
1 2 1
1 0 2
0 2 0
2 0 0
10 6
0 2 2
0 0 1
0 0 3
3 0 1
3 3 3
0 3 1
0 3 2
0 2 1
3 3 1
1 1 0
10 3
1 0 1
0 3 2
1 2 2
0 2 3
3 0 3
0 2 2
2 1 2
1 0 2
3 3 0
1 3 0
10 3
3 3 0
3 2 1
0 1 1
1 3 1
0 1 2
1 3 3
0 0 3
0 3 2
0 2 1
0 0 1
10 8
0 3 1
0 0 2
3 2 0
2 3 1
2 1 2
3 0 0
3 0 1
0 2 3
2 0 3
3 0 2
10 7
0 0 1
2 0 1
0 0 0
1 0 1
2 2 0
1 0 0
2 1 2
0 2 2
1 0 2
1 2 1
10 6
1 0 1
1 2 2
0 0 1
1 1 2
2 0 1
1 0 2
0 2 1
1 2 0
0 0 2
2 0 0
10 6
2 0 2
0 0 2
1 2 0
2 2 0
2 1 1
0 0 1
1 1 1
0 2 0
1 0 1
2 1 0
10 2
0 2 0
1 1 1
2 0 2
0 0 0
1 1 0
1 2 2
0 1 1
0 0 1
0 1 2
1 0 1
10 8
2 0 2
2 0 0
1 1 1
0 0 2
2 1 0
1 0 2
0 1 2
1 2 1
2 1 1
1 1 2
10 5
2 0 0
1 2 2
1 2 0
1 0 0
2 2 2
2 2 0
2 1 1
1 1 1
2 0 1
0 1 0
10 4
2 2 0
3 1 3
3 1 1
3 3 1
3 2 1
2 0 0
1 1 1
2 3 1
2 2 3
1 1 3
10 3
3 3 1
0 2 3
1 3 1
1 2 0
1 3 0
3 0 0
3 1 0
0 2 1
1 3 2
1 1 2
10 4
2 3 1
2 3 2
1 1 1
2 2 0
3 2 3
3 2 0
3 0 3
0 0 0
3 1 2
0 3 1
10 8
2 0 2
0 2 2
0 1 1
1 0 2
2 1 2
2 1 0
1 0 0
2 0 1
1 2 2
2 2 2
10 4
1 2 1
1 0 1
1 2 0
1 2 2
2 2 1
2 0 0
2 0 1
1 0 2
1 1 2
0 1 1
10 2
0 1 1
2 0 0
1 0 3
0 0 2
3 0 1
1 2 2
2 0 3
2 2 3
0 1 3
3 3 2
10 6
2 0 0
2 2 2
0 2 1
2 1 2
0 1 1
1 1 2
2 0 2
1 2 0
2 1 1
0 0 2
10 8
3 0 3
1 1 2
0 3 3
1 3 0
3 0 2
2 1 3
1 1 3
3 3 1
1 1 1
3 2 2
10 9
1 2 1
0 0 0
0 1 1
2 2 1
1 0 2
1 2 2
0 2 0
2 1 1
1 2 0
1 0 1
10 3
2 0 1
2 1 0
0 1 2
2 2 2
0 0 2
2 2 0
2 1 2
1 1 2
1 2 0
0 1 0
10 2
3 3 3
0 0 3
3 2 2
2 1 2
2 3 0
0 3 0
3 3 2
0 2 1
1 0 2
0 1 0
10 2
1 1 1
2 0 1
1 3 1
0 3 0
2 2 3
1 0 1
0 3 2
0 1 2
2 0 2
3 3 3
10 2
1 2 2
1 1 1
1 2 1
0 2 0
2 1 2
0 2 2
2 1 0
2 0 2
2 0 0
1 0 1
10 4
1 2 2
2 1 2
2 2 1
2 0 2
0 0 0
0 2 2
2 1 0
0 2 1
2 1 1
1 0 2
10 6
1 2 0
0 1 2
2 1 1
0 1 0
1 0 2
1 1 2
2 0 2
1 2 1
0 2 2
0 2 1
10 5
1 1 2
2 1 2
0 1 0
1 0 0
2 2 1
0 2 0
1 1 1
0 2 1
2 0 1
1 0 1
10 3
2 1 2
3 2 3
3 1 1
0 3 3
3 3 0
3 3 2
2 2 0
2 1 1
3 1 2
0 2 3
10 5
0 1 1
0 0 2
0 1 2
2 0 2
1 1 1
0 0 1
0 1 0
1 1 0
0 2 1
0 0 0
10 2
1 0 1
2 1 1
1 1 2
2 1 0
0 2 2
2 0 2
0 0 0
0 2 0
2 2 1
1 0 2
10 8
1 3 2
1 2 2
0 2 1
3 0 1
3 1 3
2 0 1
3 2 1
0 3 1
0 2 2
0 1 2
10 6
2 1 0
1 3 1
2 3 0
1 2 0
1 2 2
2 1 1
3 0 1
2 0 3
0 2 1
2 3 2
10 9
0 0 1
2 1 0
0 1 1
2 0 1
2 2 1
2 1 2
0 2 2
2 0 2
1 0 2
1 1 2
10 7
2 0 0
2 2 1
0 2 2
1 0 0
0 1 2
0 1 0
1 0 2
1 2 0
2 2 0
0 1 1
10 8
3 3 1
2 3 2
3 3 3
2 2 0
1 2 2
0 0 2
0 3 3
2 0 1
1 3 0
0 3 0
10 4
0 2 2
1 2 2
1 1 0
0 0 1
0 2 0
2 2 1
2 1 0
0 1 1
2 1 1
2 1 2
10 9
1 2 1
2 0 1
0 2 2
2 2 1
0 1 2
1 2 2
0 2 1
0 0 0
1 1 0
0 1 1
10 4
1 0 2
0 2 2
1 1 1
2 0 0
0 2 1
2 0 1
2 1 1
1 0 0
2 1 2
1 0 1
10 7
2 3 0
1 2 2
2 1 1
0 2 3
0 1 0
3 3 0
0 3 0
2 0 3
0 2 1
1 1 2
10 3
1 0 0
1 0 2
1 1 2
1 2 1
0 2 2
1 1 1
1 1 0
0 0 0
2 1 2
0 1 2
10 3
2 2 0
2 2 2
1 2 1
0 1 2
1 0 0
0 0 2
0 0 0
2 0 0
0 2 1
0 2 0
10 8
1 1 0
2 1 1
2 2 1
0 2 0
2 0 2
0 1 1
0 0 1
0 0 0
2 0 1
1 2 0
10 6
0 2 2
0 1 0
2 1 2
0 0 0
1 1 2
1 2 0
2 1 1
2 2 1
1 1 1
2 0 1
10 5
3 1 1
3 2 2
2 1 3
3 0 0
2 2 1
0 2 1
1 2 0
3 0 1
2 2 3
1 0 0
10 4
1 2 0
2 0 2
2 1 1
1 2 1
1 0 2
1 0 1
2 0 0
2 1 0
0 2 0
1 1 1
10 4
0 0 0
1 1 2
0 1 2
0 0 2
1 2 0
1 0 0
0 2 1
0 1 0
1 0 1
0 1 1
10 2
0 2 2
0 2 0
2 1 2
2 2 2
1 1 1
2 0 1
2 0 2
1 2 1
0 0 2
2 1 1
10 7
2 0 1
2 2 3
3 0 3
3 1 1
1 2 3
2 0 2
3 0 2
0 1 0
1 1 3
3 2 1
10 3
0 0 0
2 0 1
1 1 0
0 2 2
2 1 1
0 1 0
1 1 2
0 0 2
2 2 2
0 2 0
10 5
0 0 0
2 2 2
1 2 0
0 1 2
1 1 1
2 1 1
0 2 1
2 1 2
2 0 2
2 0 0
10 4
0 1 2
1 1 1
2 2 2
0 1 0
2 2 0
0 0 0
0 0 1
1 0 1
2 0 1
1 2 0
10 5
0 2 2
2 1 1
0 1 0
2 0 0
1 0 1
1 2 2
1 1 0
0 0 2
0 0 0
2 2 1
10 7
0 0 1
1 2 2
2 1 1
0 0 0
0 2 0
1 2 1
2 1 2
2 0 0
2 0 2
1 2 0
10 3
1 1 1
1 2 2
2 2 0
0 0 1
1 0 0
1 2 1
2 0 0
2 2 2
2 0 2
1 0 2
10 3
1 1 0
0 3 3
2 0 2
1 3 1
1 0 1
1 1 3
1 2 1
3 1 2
3 3 0
2 2 0
10 6
3 1 2
1 2 2
0 0 2
1 0 1
2 2 2
1 2 3
0 2 2
3 1 1
0 3 0
0 1 3
10 9
1 0 1
2 2 1
0 0 0
2 1 1
1 1 0
0 1 1
2 0 2
0 1 0
2 1 2
2 0 0
10 6
2 0 0
2 2 1
2 1 2
1 0 2
1 0 1
2 1 1
1 2 2
0 0 0
2 2 2
0 1 0
10 2
2 2 1
3 1 3
0 2 1
3 1 0
3 2 3
3 1 1
0 0 3
0 1 0
0 3 3
1 1 1
10 7
1 3 1
2 0 1
2 3 3
3 1 1
0 2 0
3 1 0
0 3 2
0 2 3
0 1 1
0 1 0
10 2
3 1 1
0 1 0
2 1 3
1 1 3
2 0 1
3 3 3
1 1 0
0 3 1
3 2 3
0 3 3
10 7
0 0 1
0 0 2
2 1 1
2 0 0
1 1 0
1 2 0
2 2 2
1 2 2
2 2 0
0 2 1
10 7
2 0 1
1 1 0
1 0 2
0 2 0
2 2 2
0 1 2
1 1 1
2 1 2
0 0 2
2 2 1
10 7
2 2 1
1 0 1
3 3 1
0 0 2
2 0 0
3 0 1
1 3 1
2 3 3
3 1 0
1 2 3
10 9
0 0 1
2 3 0
1 0 3
1 0 1
2 2 2
3 2 0
2 0 3
2 3 1
0 2 0
0 3 2
10 8
1 1 0
0 0 2
0 1 2
2 2 1
2 2 0
0 3 0
2 2 2
0 1 3
3 0 3
3 0 2
10 2
0 0 3
3 0 3
0 1 3
1 1 2
3 3 1
3 0 0
1 0 2
1 0 3
2 1 2
0 3 2
10 5
0 1 0
2 1 2
1 0 2
1 1 0
2 0 2
0 2 1
2 0 1
1 0 0
2 0 0
1 1 2
10 3
1 0 1
2 1 0
1 0 2
2 0 0
2 2 0
1 1 0
0 0 2
1 1 2
2 1 2
0 1 0
10 9
2 0 0
0 2 1
2 1 0
2 0 2
2 0 1
2 1 1
0 0 1
2 2 1
2 2 2
0 0 0
10 8
3 3 3
2 2 3
2 3 3
3 3 2
1 0 1
2 1 3
3 2 0
3 0 1
0 0 0
1 1 2
10 3
0 0 3
0 1 1
1 2 3
0 3 0
2 2 2
1 2 0
2 0 0
1 3 0
1 2 2
3 1 1
10 7
0 0 1
0 2 2
1 2 0
1 2 1
0 0 0
0 2 1
1 0 1
2 1 2
1 1 0
1 0 0
10 9
0 1 1
2 0 0
2 1 2
1 0 1
2 2 2
0 2 2
1 1 0
2 2 0
1 0 2
1 0 0
10 3
0 3 2
0 0 0
3 3 3
2 3 0
3 0 3
0 1 0
1 1 3
1 1 1
3 3 2
3 3 1
10 9
0 2 1
1 2 2
0 0 1
1 0 0
1 0 2
1 1 0
2 1 1
2 1 0
0 2 2
0 0 0
10 9
1 1 1
2 0 0
2 1 2
2 1 1
1 2 0
0 0 1
0 2 0
0 2 2
0 0 0
1 2 1
10 7
0 0 1
2 2 0
1 2 0
2 0 2
1 2 1
2 2 1
0 1 1
2 1 2
1 0 2
0 0 2
10 5
1 2 1
1 2 0
1 2 2
2 0 2
2 0 0
2 2 2
1 0 1
0 1 2
1 1 1
0 0 0
10 3
1 1 1
2 1 0
1 2 0
1 2 1
2 2 0
2 0 1
0 2 1
0 1 1
1 0 0
1 2 2
10 2
2 1 0
0 0 2
2 0 1
1 0 0
0 0 0
0 1 0
0 0 1
0 1 2
1 2 1
0 2 2
10 7
0 2 1
2 0 2
0 0 1
2 1 0
2 2 0
0 1 2
2 0 1
2 2 1
1 0 0
0 1 1
10 4
2 0 1
0 2 3
1 3 0
0 3 0
3 0 3
0 0 1
1 1 3
1 2 2
1 0 3
2 2 3
10 4
0 0 0
1 1 2
1 0 3
2 2 2
0 2 0
0 0 3
2 2 1
0 2 1
3 3 2
3 3 0
10 5
1 2 2
2 2 2
0 1 1
0 2 0
1 1 1
0 2 1
0 1 2
2 1 0
0 0 2
0 1 0
10 8
2 1 0
0 2 0
1 1 0
0 0 1
2 0 0
0 1 1
1 2 0
1 0 1
2 1 2
2 2 1
10 3
1 1 3
3 0 3
2 3 2
3 0 0
1 2 2
2 1 2
0 0 0
3 2 0
1 1 1
2 0 0
10 2
0 0 1
1 3 2
2 3 0
1 2 0
0 0 3
0 2 2
2 2 1
0 2 3
3 1 3
1 1 2
10 6
0 0 1
0 0 0
0 2 0
1 1 2
2 0 2
2 2 0
0 1 0
1 0 0
2 0 1
1 0 1
10 7
2 1 1
2 0 2
3 2 2
2 3 3
2 1 3
2 2 3
1 0 3
1 2 0
1 1 2
3 3 0
10 7
2 0 2
2 2 2
1 2 0
1 0 2
0 0 2
1 0 0
1 2 1
0 0 0
0 0 1
0 2 2
10 2
0 3 2
3 2 3
2 2 0
0 3 3
2 2 1
3 1 3
0 3 0
2 3 2
1 3 2
2 0 0
10 8
0 0 1
0 1 2
0 1 0
2 2 2
2 2 1
1 2 2
0 2 1
0 2 2
1 0 0
0 2 0
10 7
2 3 1
2 3 2
1 0 1
2 3 3
2 1 1
3 0 2
0 2 0
3 3 2
3 0 1
1 3 0
10 5
0 2 1
1 1 0
0 0 0
1 0 1
2 1 2
0 2 2
1 1 2
2 0 0
0 1 2
2 1 1
10 3
1 1 2
1 1 3
3 2 3
0 3 0
2 1 0
3 3 1
3 3 2
0 1 2
0 2 0
1 3 2
10 4
2 0 1
0 1 0
2 2 0
2 2 2
1 2 1
1 2 2
0 0 1
0 2 1
1 1 1
0 1 2
10 8
2 2 2
1 2 2
2 0 0
2 1 0
2 0 2
2 1 2
0 0 1
1 0 0
1 2 1
0 1 2
10 8
0 2 0
1 2 2
1 1 1
0 3 3
0 1 2
1 0 1
0 0 0
3 0 3
1 1 3
3 1 1
10 5
0 1 0
2 0 2
1 2 1
0 0 2
2 1 2
0 0 1
0 0 0
0 2 0
0 2 2
2 1 1
10 3
1 1 2
0 0 2
2 1 1
2 1 2
2 2 1
2 0 1
1 0 2
0 1 2
0 2 0
2 1 0
10 4
2 0 0
0 1 0
1 0 2
0 0 1
0 1 1
1 2 2
1 1 2
2 1 1
0 2 0
0 0 2
10 5
0 2 2
1 0 1
1 1 2
1 1 1
0 1 0
2 1 1
2 1 0
2 0 2
1 0 2
2 1 2
10 8
2 2 2
1 0 3
1 1 1
1 3 1
0 0 3
1 1 0
2 1 2
1 1 2
2 1 0
0 2 2
10 6
1 1 1
1 2 1
2 2 0
0 0 0
1 2 0
2 1 1
2 0 0
1 2 2
2 2 1
0 2 2
10 9
1 2 0
2 1 0
1 0 1
1 1 1
0 0 0
1 2 1
0 1 1
1 1 0
0 2 2
2 1 2
10 5
3 2 3
2 1 3
2 2 0
1 1 1
0 3 0
2 1 0
0 1 2
1 1 3
1 3 2
3 3 3
10 4
0 0 1
2 2 1
2 1 1
0 0 2
2 2 2
1 0 1
2 2 0
2 1 2
1 0 2
2 0 0
10 7
3 0 3
3 1 2
3 2 1
3 2 3
0 1 2
0 0 2
1 1 2
2 0 3
3 3 0
2 1 3
10 7
0 0 0
0 1 1
1 0 1
2 2 1
0 0 2
0 2 2
2 0 2
0 1 0
2 1 0
1 0 0
10 4
2 2 2
2 2 0
1 1 0
0 2 1
0 2 0
0 0 0
1 1 1
1 0 0
0 0 2
2 1 0
10 7
0 1 3
2 2 0
0 0 1
1 1 2
1 0 3
0 3 3
3 1 3
1 3 0
2 1 3
2 0 3
10 3
1 1 0
3 3 3
1 2 0
3 0 0
3 0 3
3 1 0
1 2 3
0 3 0
1 0 1
3 2 3
10 5
2 1 3
3 3 3
2 3 0
3 0 3
3 0 0
1 0 2
3 2 0
2 2 2
0 1 1
2 1 1
10 3
1 1 2
1 0 2
0 0 2
0 0 1
2 1 2
1 0 1
1 2 0
0 1 2
2 0 1
1 2 1
10 2
3 3 1
3 3 0
1 3 2
1 3 3
0 1 1
3 3 3
0 0 3
1 2 3
1 0 0
1 1 0
10 3
1 2 0
1 1 1
1 1 2
1 0 0
2 2 1
1 1 0
1 2 1
2 2 0
2 1 2
0 1 0
10 6
3 1 1
3 3 1
3 2 0
0 1 0
2 2 2
0 0 2
1 1 2
1 3 2
1 0 0
3 1 0
10 5
1 3 3
3 0 0
0 1 2
1 3 2
1 3 1
0 0 3
3 1 3
1 1 2
0 3 0
2 1 0
10 2
1 3 1
1 1 0
3 3 2
1 0 0
2 0 1
1 2 1
0 3 0
3 3 0
2 2 2
3 1 2
10 5
0 0 0
1 0 2
0 1 0
1 0 1
1 1 0
2 1 2
0 0 2
2 1 1
2 0 1
0 1 2
10 6
2 0 2
0 0 1
1 0 0
1 1 2
2 0 0
2 1 2
1 2 1
0 0 0
0 1 0
0 1 1
10 8
2 3 2
2 2 3
1 2 2
0 0 2
0 0 1
3 2 0
0 3 3
2 0 3
3 2 3
3 2 2
10 2
0 2 2
2 2 1
2 2 2
2 0 1
0 0 0
2 1 1
1 2 1
0 0 1
2 1 2
2 0 0
10 7
2 0 0
1 0 1
0 2 0
2 0 2
1 2 1
0 1 2
1 0 0
2 2 2
1 1 2
0 0 0
10 3
1 0 0
2 1 2
0 1 2
0 0 0
0 2 0
0 0 1
1 2 0
1 1 1
0 0 2
1 0 1
10 6
2 0 2
2 0 1
2 0 0
1 2 0
1 0 1
2 1 1
1 0 2
0 1 0
0 1 1
1 1 1
10 8
0 0 2
2 1 1
1 1 1
0 0 0
1 2 0
2 0 1
2 1 0
0 1 1
1 1 0
2 1 2
10 2
0 2 3
0 2 0
1 1 2
1 3 1
0 2 2
1 0 3
3 0 3
3 1 0
3 2 1
0 3 1
10 2
0 1 2
0 2 1
0 0 2
1 2 0
0 2 0
0 0 1
1 1 0
1 0 1
0 1 0
0 2 2
10 5
1 2 2
2 2 0
0 0 2
1 2 0
2 2 2
0 2 1
0 2 0
1 0 2
2 1 2
2 1 0
10 5
0 3 2
0 2 0
3 3 2
2 2 3
1 2 0
1 3 1
2 1 1
3 0 2
0 0 2
3 1 3
10 6
0 1 1
1 1 2
1 2 0
2 1 0
1 2 2
0 0 2
2 2 0
2 2 1
0 1 0
2 0 2
10 7
1 1 2
2 0 2
1 0 0
0 2 1
2 0 0
0 0 2
1 2 2
0 2 2
0 2 0
2 2 2
10 9
0 1 1
0 2 0
2 0 0
1 2 2
0 1 0
1 2 1
2 2 2
1 0 2
1 1 0
1 0 1
10 7
2 3 0
3 0 0
0 3 2
0 2 0
2 3 1
1 0 2
3 2 0
1 2 3
2 1 0
0 1 1
10 7
1 2 0
3 2 2
3 2 3
3 2 1
0 3 3
1 1 0
2 1 2
1 1 2
1 2 2
3 1 0
10 7
0 1 0
2 1 1
1 2 1
0 1 2
2 1 2
0 0 1
1 1 1
1 0 0
2 1 0
2 0 0
10 3
1 3 1
2 2 3
3 1 3
2 0 2
2 3 0
3 0 1
0 0 3
0 0 0
2 1 0
2 2 1
10 4
0 0 0
2 0 0
1 2 0
0 1 1
1 2 2
2 2 2
0 2 1
1 0 1
2 2 0
0 1 2
10 7
0 2 1
2 3 1
3 3 3
3 3 1
1 1 0
2 3 3
3 3 2
0 1 2
0 1 1
0 3 0
10 3
1 2 0
0 0 0
1 0 1
2 2 2
0 0 2
2 2 0
0 2 2
0 1 0
1 2 2
2 1 0
10 5
0 3 0
2 3 0
3 3 2
0 0 3
3 0 1
3 2 1
1 1 3
0 1 2
0 1 1
1 3 1
10 8
1 2 2
2 1 0
1 1 2
1 1 0
1 1 1
1 0 1
2 1 2
0 1 2
0 2 1
0 0 2
10 4
2 2 2
1 2 2
1 0 1
0 0 1
2 2 0
1 2 0
2 1 2
0 0 0
0 2 0
0 2 1
10 7
0 0 0
1 3 0
1 0 1
0 3 3
2 0 2
1 3 2
2 1 3
3 1 1
1 2 3
2 2 2
10 5
1 0 3
0 3 0
1 2 2
0 0 0
2 1 1
0 0 2
3 3 1
3 2 0
3 1 3
3 1 1
10 9
1 1 0
2 1 0
1 2 2
0 0 0
1 0 2
0 1 0
2 2 1
0 2 0
0 2 2
2 1 1
10 4
3 0 3
2 1 1
2 3 1
0 3 3
1 0 0
0 0 2
2 0 1
1 2 2
0 1 0
1 1 3
10 2
0 2 0
1 2 1
1 0 0
2 0 2
2 0 1
0 2 1
2 1 2
1 2 0
0 0 1
1 1 0
10 5
2 2 2
1 2 2
2 2 0
1 1 1
0 1 2
1 1 2
0 1 0
0 2 1
0 1 1
2 1 2
10 6
1 1 0
2 1 1
1 0 1
2 2 1
2 2 2
0 2 0
0 1 1
2 1 2
0 1 2
1 2 1
10 9
3 3 1
2 0 0
3 0 3
0 2 3
0 1 0
0 0 1
1 0 2
2 3 2
1 3 2
3 2 2
10 2
0 2 0
1 1 1
1 2 1
0 0 0
2 1 0
2 1 1
0 2 1
0 1 0
2 2 2
2 1 2
10 2
0 0 2
0 2 1
0 1 0
1 1 1
2 2 1
1 2 0
1 0 1
1 0 2
1 1 2
1 0 0
10 5
2 2 0
3 2 2
1 2 1
1 2 3
2 3 1
1 0 2
1 3 0
2 1 3
0 2 2
0 1 3
10 6
0 0 0
0 0 1
0 0 2
0 1 0
2 0 1
1 1 2
0 2 2
2 1 1
1 1 1
1 0 0
10 2
2 0 2
0 2 1
1 0 2
2 1 1
0 0 1
0 0 0
2 2 2
0 2 2
0 1 0
1 1 0
10 8
1 0 1
2 0 1
1 1 2
0 2 1
0 2 0
1 1 0
0 2 2
0 1 2
0 1 1
2 0 2
10 9
3 0 2
2 3 1
3 2 1
2 0 0
0 3 2
2 3 3
2 1 3
1 3 1
3 3 3
2 2 3
10 8
2 0 3
0 0 3
3 0 0
0 1 2
2 1 0
1 0 3
1 2 1
3 0 3
1 0 1
3 2 2
10 2
1 2 2
1 0 2
2 1 1
1 1 3
1 3 1
2 2 3
1 2 0
1 1 0
2 0 2
1 2 1
10 6
2 0 2
2 1 1
1 1 2
2 1 0
1 2 1
0 0 2
2 1 2
0 1 1
1 0 1
1 0 2
10 4
2 0 1
1 2 0
0 2 0
0 2 2
2 1 2
1 0 2
2 0 0
1 2 2
0 0 2
1 1 0
10 6
1 2 2
3 0 0
0 2 3
0 3 2
3 3 3
3 0 3
2 0 2
0 2 2
0 3 3
2 1 2
10 4
0 1 1
0 1 0
3 0 0
3 2 2
1 0 0
1 2 0
3 1 2
0 2 2
0 0 2
1 2 1
10 4
2 3 3
1 0 1
0 2 1
1 3 0
3 3 1
3 2 3
1 1 3
3 0 3
1 2 3
1 2 2
10 2
0 2 3
1 1 0
1 2 2
2 0 1
1 1 1
0 2 2
2 3 1
3 3 1
2 0 0
0 0 2
10 5
1 2 2
0 0 0
1 2 0
2 1 2
2 1 0
1 2 1
1 1 2
2 0 1
1 1 1
1 0 0
10 9
2 0 0
1 3 2
1 2 0
3 3 3
1 3 3
0 0 1
0 0 2
1 1 1
2 2 3
2 1 1
10 2
2 0 2
0 2 0
2 2 1
0 2 2
2 1 0
1 0 0
1 2 0
2 1 1
2 0 1
1 2 1
10 8
0 2 1
2 1 1
0 2 2
2 2 0
0 3 3
0 3 1
3 2 1
2 0 2
0 0 0
3 1 1
10 7
0 3 1
2 3 0
0 0 0
1 1 3
3 0 2
0 3 2
3 0 0
0 2 3
0 3 3
0 1 1
10 6
1 2 3
2 0 1
3 3 0
3 0 2
2 3 2
2 3 1
0 0 0
1 2 2
3 2 3
3 1 3
10 7
2 2 1
1 2 1
2 2 2
2 0 2
0 1 0
0 0 1
2 1 0
0 1 1
1 1 1
1 1 0
10 7
2 2 1
1 2 2
2 1 0
1 2 0
0 0 2
0 2 2
0 0 0
2 2 0
2 0 0
2 0 2
10 9
3 3 0
0 2 0
2 3 1
1 0 0
0 2 1
3 2 1
3 3 3
0 0 0
3 1 1
0 3 2
10 3
1 0 1
0 3 2
3 0 1
2 2 0
3 0 2
0 1 0
3 1 3
3 0 3
3 0 0
0 2 2
10 7
2 3 3
0 3 2
2 1 2
3 1 1
1 2 2
1 3 3
3 2 3
0 0 2
2 1 0
1 0 2
10 7
1 1 0
1 1 1
1 2 0
2 2 1
2 1 0
1 1 2
2 0 1
1 2 2
0 2 1
2 2 0
10 9
1 2 0
2 0 2
1 0 1
2 1 0
0 0 1
0 1 2
2 0 0
0 1 0
0 2 0
2 2 2
10 7
0 2 0
0 1 2
2 1 2
1 2 0
1 1 0
1 0 1
0 0 0
2 1 0
0 0 2
0 2 2
10 8
2 2 3
3 1 2
1 0 1
0 1 1
2 1 2
1 0 3
2 0 0
2 0 3
1 0 2
0 1 0
10 5
2 2 1
1 2 1
2 0 0
1 2 0
2 1 2
1 0 0
2 1 1
0 1 1
0 0 2
1 1 1
10 5
0 2 0
0 0 1
1 2 2
0 0 3
3 2 2
0 1 0
3 2 3
1 3 1
3 0 1
1 3 3
10 7
0 2 1
0 0 1
0 0 0
3 1 3
0 3 2
3 3 2
2 0 0
2 0 1
3 2 3
0 2 0
10 6
0 3 0
2 0 1
0 0 1
0 0 2
2 2 1
3 2 0
0 3 2
2 3 0
1 0 3
2 1 3
10 2
0 3 1
0 2 0
3 2 3
1 0 0
1 1 0
1 1 2
0 1 3
2 0 2
1 1 3
2 2 1
10 4
1 2 0
2 0 2
1 1 0
1 2 2
2 1 1
0 0 1
1 0 1
0 0 2
1 1 1
0 2 1
10 3
1 2 3
2 3 0
3 0 0
3 3 2
0 1 3
2 1 2
0 0 0
0 0 1
1 2 2
3 2 3
10 9
0 0 1
0 1 1
2 2 0
0 0 0
2 1 1
0 2 2
1 2 0
1 1 1
2 1 2
0 0 2
10 9
1 0 2
1 0 0
2 1 1
2 1 0
0 2 2
0 0 2
0 1 1
2 2 1
0 2 1
0 0 1
10 3
0 0 0
0 2 1
2 1 2
1 1 2
1 2 0
1 0 0
1 2 2
1 1 0
2 2 2
2 0 2
10 9
1 2 2
3 0 1
1 3 1
1 1 2
3 0 2
1 2 1
3 0 3
1 0 0
0 0 2
0 1 1
10 3
0 1 2
1 1 0
2 1 1
2 0 1
0 2 0
2 1 2
1 2 0
0 0 0
2 0 2
2 0 0
10 9
2 1 2
1 0 0
0 0 0
0 2 0
0 1 0
1 2 0
1 0 1
2 0 0
0 0 2
2 0 2
10 3
0 0 1
3 1 0
0 0 3
0 0 2
1 1 3
2 1 2
0 1 0
2 2 0
0 3 3
0 2 0
10 7
1 1 2
2 2 0
1 2 2
0 1 1
2 2 2
1 0 0
2 0 0
0 2 1
1 0 2
2 1 0
10 9
2 0 2
1 1 1
1 2 0
0 0 3
2 0 1
0 0 1
0 2 3
2 1 1
2 3 3
1 0 3
10 4
1 2 1
2 1 0
2 0 2
2 2 2
0 1 1
1 1 2
2 0 1
1 1 0
0 0 2
0 2 1
10 2
0 2 0
1 2 1
2 1 3
2 0 3
1 3 1
0 1 1
0 2 1
3 0 1
2 2 1
2 3 3
10 8
1 1 3
3 3 2
2 3 1
0 1 0
3 0 3
0 2 3
3 3 1
2 2 0
2 3 0
3 2 2
10 7
0 0 1
2 2 2
1 1 1
1 1 0
1 1 2
1 0 2
0 2 0
0 0 2
2 1 2
1 0 1
10 3
3 1 0
3 2 2
3 0 0
2 3 1
1 1 1
1 3 2
3 1 3
2 1 0
0 0 3
0 0 1
10 3
0 3 3
3 3 1
2 0 0
0 0 1
3 2 1
2 3 3
3 3 0
1 2 3
1 0 3
2 1 1
10 7
0 3 0
3 1 2
1 1 1
1 0 1
1 2 0
2 0 2
2 3 3
0 0 3
3 2 1
1 2 1
10 2
0 2 2
0 0 0
1 2 1
2 0 1
2 0 2
2 1 2
0 0 2
1 2 0
1 1 0
2 2 1
10 7
0 0 1
0 1 0
2 1 0
2 0 2
2 2 1
1 1 2
2 1 1
0 1 2
0 0 0
1 1 0
10 8
3 3 3
1 3 0
3 2 0
1 2 1
3 1 3
0 0 1
3 3 0
2 2 0
0 3 2
2 3 3
10 6
1 1 2
2 0 0
2 1 2
0 1 0
2 0 1
0 1 1
1 2 2
2 2 1
1 0 0
0 1 2
10 2
2 1 1
3 0 0
3 2 1
0 0 2
2 1 0
2 3 2
0 3 3
3 1 0
3 0 2
1 1 1
10 3
0 0 0
2 1 0
1 0 2
2 2 1
0 1 1
1 2 1
0 2 2
2 0 0
0 1 2
2 1 2
10 8
0 0 1
0 1 1
2 0 2
0 3 0
2 2 3
3 1 1
3 3 2
2 1 3
0 0 3
0 1 3
10 5
0 0 0
0 1 2
2 1 1
1 0 0
2 2 0
1 2 2
2 0 0
0 1 1
2 1 2
0 0 2
10 6
2 1 1
2 0 3
2 3 1
1 2 2
2 2 2
1 0 0
1 0 1
3 2 2
3 3 0
3 0 0
10 3
3 2 3
1 1 2
0 2 3
3 0 0
0 3 0
1 1 1
2 1 0
2 3 2
1 3 3
3 1 0
10 5
1 0 1
0 1 1
3 1 1
1 1 2
1 3 0
2 2 3
0 3 0
2 2 0
0 3 3
2 1 2
10 2
2 2 1
2 2 2
1 2 2
0 2 1
1 1 1
1 1 2
1 0 2
2 2 0
0 2 2
0 1 1
10 7
3 2 2
3 3 3
1 1 3
3 0 3
1 3 2
1 0 2
0 3 2
2 0 0
0 1 2
2 1 0
10 3
1 1 2
2 0 1
2 1 2
2 2 0
1 0 0
1 2 0
1 1 1
0 2 1
1 0 2
1 1 0
10 4
1 0 2
2 1 0
0 1 1
0 2 1
0 1 2
1 0 1
2 0 1
1 1 0
0 2 0
0 0 2
10 8
3 3 2
3 1 3
3 0 2
3 2 3
0 2 0
2 2 0
1 2 3
3 0 1
2 0 3
2 2 2
10 8
2 1 0
0 0 0
1 0 1
2 1 2
1 2 2
2 0 2
1 2 0
1 0 2
1 2 1
2 1 1
10 3
1 1 3
0 1 3
2 1 0
2 0 0
1 3 1
0 0 2
3 1 2
2 2 1
2 3 3
0 2 0
10 9
2 1 2
0 0 1
3 1 0
2 2 1
2 0 1
0 0 3
3 2 2
1 3 2
1 2 1
1 1 0
10 7
0 1 1
1 2 2
1 0 1
0 1 2
1 0 0
2 0 1
2 1 2
2 2 1
1 2 0
0 2 0
10 7
2 1 1
2 1 0
2 0 0
1 1 2
1 1 0
1 2 2
2 0 2
0 2 2
0 2 0
1 0 2
10 4
1 2 1
1 1 2
0 2 0
0 0 1
2 0 2
0 2 2
1 0 1
1 1 0
0 1 2
0 0 2
10 8
3 1 1
2 3 0
3 1 2
1 2 0
2 1 2
3 2 3
2 3 1
2 2 1
1 1 0
3 3 1
10 3
0 3 3
2 3 1
2 2 2
3 3 1
2 3 0
1 2 2
3 3 2
0 2 2
3 1 0
1 0 3
10 8
1 2 3
0 1 3
2 2 2
3 3 1
0 3 0
0 0 0
0 1 1
0 3 1
2 0 0
2 2 0
10 2
1 0 2
2 1 1
2 0 2
1 0 0
1 0 1
0 2 2
2 2 0
0 1 2
1 1 0
2 0 0
10 8
1 2 0
1 0 2
1 1 2
0 2 2
0 2 1
1 0 1
1 1 0
0 1 2
0 0 1
1 0 0
10 2
1 1 0
2 1 0
1 0 1
2 1 1
1 1 2
0 0 1
1 1 1
1 2 1
2 2 2
1 0 0
10 9
3 2 0
1 2 2
1 2 1
1 1 0
2 2 0
1 2 0
2 0 3
3 2 2
1 3 2
3 3 3
10 9
1 1 0
2 1 0
0 1 2
2 1 1
0 2 0
2 0 1
2 0 0
0 2 2
1 0 1
1 0 2
10 8
0 2 1
2 1 2
1 0 2
0 1 0
2 0 2
0 0 0
2 2 1
0 0 2
0 0 1
2 2 0
10 9
2 2 1
0 1 2
2 1 2
1 1 1
3 3 1
3 0 2
1 2 0
1 0 3
0 1 3
0 3 0
10 6
0 2 1
1 1 2
0 2 0
2 1 0
2 2 0
0 0 0
1 0 2
0 1 1
2 1 1
1 0 0
10 8
0 0 3
3 3 3
1 3 1
3 2 1
0 2 0
3 0 2
0 3 3
2 2 2
0 0 1
2 0 2
10 4
1 2 2
2 1 2
3 2 3
2 2 3
1 3 3
3 1 3
0 0 3
2 0 0
0 1 2
3 3 1
10 6
3 1 0
2 0 3
2 2 3
0 1 3
3 2 2
2 2 2
2 2 1
0 0 0
0 2 2
0 1 0
10 4
2 2 1
1 0 2
2 3 3
0 0 2
1 0 0
3 2 1
0 3 2
1 1 3
2 3 1
1 0 1
10 8
0 2 0
2 0 2
0 0 0
2 0 0
0 2 2
0 1 2
0 0 2
1 1 1
0 2 1
2 2 2
10 7
0 2 2
2 1 2
0 1 2
1 2 1
1 1 1
2 0 1
1 2 0
1 1 0
0 0 0
0 2 1
10 2
1 1 2
1 1 1
2 2 2
0 2 0
0 0 2
2 1 0
0 1 1
1 2 0
0 2 1
0 1 2
10 4
0 3 3
1 0 0
1 1 1
1 1 3
2 2 1
0 2 0
2 1 1
1 2 3
3 0 3
0 0 1
10 4
2 0 2
0 0 3
3 3 2
3 3 3
1 1 3
0 2 0
2 2 2
3 2 3
0 3 0
0 3 1
10 7
0 1 0
2 1 2
1 0 0
0 0 1
0 2 0
2 2 0
0 1 2
0 2 2
2 0 0
1 1 0
10 9
1 1 0
1 1 1
1 0 0
0 1 0
2 3 1
2 3 2
3 0 2
0 2 0
0 3 1
0 1 3
10 8
3 0 0
2 0 1
3 0 1
2 2 3
2 1 3
1 3 1
0 1 0
1 0 1
1 3 3
3 2 1
10 3
0 2 2
1 2 1
0 0 0
0 2 1
1 2 2
1 1 0
0 1 1
0 0 2
2 2 1
2 0 2
10 5
0 0 1
2 0 3
0 3 2
2 1 3
1 2 1
2 2 0
2 3 3
0 2 1
1 3 2
1 3 1
10 3
2 0 3
3 3 1
0 2 0
0 3 2
0 0 2
2 1 0
1 1 2
0 1 3
2 1 3
1 1 3
10 3
1 1 3
0 1 2
3 2 3
3 0 1
3 2 0
3 1 2
2 0 2
0 3 0
3 1 3
3 0 0
10 8
1 1 2
0 2 1
2 0 2
0 0 1
1 2 0
1 1 1
0 1 0
0 0 2
1 2 2
0 1 2
10 8
1 1 2
1 0 1
1 2 0
2 2 0
1 0 0
2 0 2
0 1 1
1 0 2
0 0 1
1 2 1
10 9
3 0 0
3 1 0
1 3 2
1 2 3
1 1 0
2 3 0
2 0 1
2 3 3
2 3 1
3 3 2
10 9
0 0 1
1 1 0
0 1 0
0 0 2
2 2 1
2 1 0
2 2 0
1 0 0
1 1 1
1 2 2
10 8
1 3 1
3 2 2
1 0 3
0 3 0
1 3 0
0 0 1
0 1 1
0 3 3
2 2 2
0 1 0
10 5
2 0 0
0 1 2
1 2 0
0 0 1
2 2 1
1 1 0
2 1 1
0 2 0
1 2 1
1 1 1
10 7
1 0 0
2 1 0
0 2 2
2 0 0
0 2 1
2 2 1
1 2 0
2 1 1
1 1 0
1 2 1
10 4
1 0 0
0 1 0
0 0 1
2 1 0
0 1 1
1 0 2
2 2 0
2 1 2
0 0 0
1 1 1
10 9
0 0 2
0 1 1
0 1 0
1 2 1
1 1 2
1 2 2
0 1 2
2 1 1
1 0 2
0 2 1
10 5
0 1 2
1 0 2
0 0 2
1 2 2
1 3 3
1 2 0
2 1 0
3 1 3
3 3 3
2 0 2
10 8
1 1 1
1 2 0
1 0 1
2 0 1
0 2 1
0 2 2
2 1 2
2 1 1
2 2 2
1 1 2
10 3
2 0 1
2 2 1
0 2 0
1 1 1
2 0 2
0 0 0
1 1 2
2 1 0
0 1 0
1 0 2
10 6
1 2 2
0 0 0
2 2 2
1 2 1
1 0 1
2 0 0
1 1 0
1 0 0
1 2 0
1 0 2
10 9
3 3 0
3 3 2
2 1 1
1 0 1
1 0 2
1 2 0
3 0 1
1 1 1
0 0 2
0 3 2
10 7
2 2 1
2 3 3
0 2 3
0 0 0
0 2 1
3 2 2
1 3 3
3 1 0
2 2 2
1 3 1
10 2
1 1 2
2 1 1
2 0 0
1 0 2
0 2 1
1 1 1
1 0 0
2 1 0
2 0 1
0 1 2
10 2
3 1 3
3 3 3
2 2 3
2 1 0
3 2 3
3 0 1
2 3 1
2 0 0
0 2 1
0 1 2
10 6
3 0 2
0 1 1
1 0 1
2 2 2
0 3 1
1 0 0
3 1 3
2 2 0
0 2 0
0 0 1
10 4
3 1 1
0 3 0
3 3 2
0 0 2
2 1 1
3 0 2
3 3 3
2 1 2
2 2 0
0 3 3
10 4
0 2 0
2 0 3
3 1 1
2 1 3
2 2 3
0 0 3
2 3 2
1 3 0
2 1 0
3 3 3
10 3
2 2 0
1 0 1
1 1 0
0 0 0
2 2 1
2 1 1
1 2 1
1 1 2
2 2 2
0 1 1
10 6
1 0 2
0 0 1
2 0 1
1 0 1
1 1 2
0 1 1
0 1 2
2 1 0
1 0 0
2 1 1
10 2
2 2 0
1 0 0
2 1 2
2 0 2
0 0 2
0 2 0
2 0 1
0 0 1
1 0 2
0 2 1
10 3
2 3 0
3 1 1
0 0 0
2 0 0
3 1 0
0 0 1
3 0 0
0 1 1
0 0 2
0 1 3
10 7
0 2 0
2 0 0
0 1 2
0 1 1
2 1 0
1 1 0
0 1 0
1 1 2
0 0 1
1 0 2
10 2
2 2 0
2 2 2
1 1 1
2 1 0
2 0 2
1 1 0
0 1 1
1 0 0
1 2 1
0 0 0
10 4
1 1 0
3 0 0
3 3 2
1 2 2
0 2 3
3 1 0
3 2 0
3 0 1
1 0 2
2 0 2
10 3
1 1 1
0 1 0
2 1 0
1 1 2
0 0 2
2 0 0
1 2 0
1 2 1
2 0 1
2 1 2
10 9
1 2 2
1 1 1
0 0 0
0 0 3
3 3 0
2 0 1
2 0 2
3 1 0
0 1 1
1 0 1
10 2
2 2 0
2 1 2
1 1 1
1 2 0
1 1 0
2 2 2
0 2 2
0 1 2
0 2 1
0 0 1
10 7
2 2 2
0 0 1
0 2 0
0 2 1
0 2 2
1 1 0
2 2 1
2 2 0
2 1 2
0 0 0
10 5
0 2 2
1 0 1
1 1 2
1 1 0
0 0 0
2 0 1
0 0 2
1 2 2
1 0 0
1 1 1
10 8
2 3 2
3 0 2
1 3 3
0 3 3
1 1 1
1 0 0
2 0 2
1 1 3
0 0 2
3 2 1
10 4
1 3 3
3 2 3
0 0 3
1 0 0
1 0 1
2 1 3
2 2 3
3 3 1
3 1 3
0 2 1
10 4
1 1 0
2 0 2
2 2 1
1 1 2
2 0 1
2 1 2
1 0 0
1 0 2
2 1 0
2 0 0
10 2
0 3 1
0 0 0
1 0 1
2 2 2
2 1 3
0 1 2
1 0 3
3 3 3
0 2 2
2 1 0
10 4
0 1 0
1 0 2
1 1 1
2 1 1
2 0 0
0 0 0
0 1 2
0 1 1
2 0 2
2 2 1
10 3
1 2 0
0 2 2
1 2 1
1 0 0
0 1 0
2 1 1
2 0 0
1 0 2
2 2 1
1 1 0
10 8
1 2 1
0 2 1
0 1 1
2 0 2
2 0 1
0 1 0
1 1 1
0 1 2
1 2 0
1 0 2
10 6
2 3 3
1 0 3
1 0 0
3 3 3
3 3 0
1 3 1
0 1 0
3 2 3
0 2 2
0 3 3
10 9
2 3 3
3 0 3
3 3 3
3 0 2
2 2 2
0 2 1
0 0 0
1 2 1
2 3 2
0 3 0
10 3
0 0 0
2 0 1
2 2 0
0 2 2
2 1 1
1 1 0
0 0 1
2 1 0
2 2 1
1 0 2
10 6
0 1 0
1 1 2
0 0 1
1 2 1
1 2 2
1 1 1
0 2 2
2 1 2
0 2 0
2 1 1
10 4
2 2 2
1 1 0
1 0 0
2 0 2
1 0 1
2 0 0
0 2 1
0 0 0
2 1 2
0 0 1
10 8
1 2 0
3 3 3
3 2 1
2 1 0
0 1 1
3 2 0
3 2 2
2 2 1
0 0 2
2 1 2
10 9
0 3 1
3 1 1
3 2 0
1 3 3
1 3 0
2 2 2
3 2 3
3 2 2
1 1 0
3 3 1
10 6
2 1 2
0 0 0
3 1 0
2 2 2
1 0 2
2 0 0
3 0 1
1 2 0
1 3 3
3 1 2
10 7
1 1 1
0 0 2
2 2 0
0 2 1
0 0 1
0 0 0
2 2 1
0 2 0
0 1 1
2 1 2
10 2
0 0 2
0 1 0
0 2 2
1 1 0
1 0 0
2 2 0
2 1 1
2 2 1
0 2 0
1 0 2
10 2
0 2 2
3 1 1
3 2 1
3 3 0
0 3 1
0 2 1
2 0 2
1 3 0
1 1 0
2 3 0
10 3
0 2 2
3 2 2
2 1 3
1 2 3
0 3 1
0 0 1
2 0 2
1 0 3
2 1 0
3 2 3
10 5
2 2 2
1 1 0
0 1 0
1 2 0
0 0 0
2 0 2
1 0 0
2 2 0
2 1 2
2 0 0
10 4
0 0 1
1 2 0
1 0 0
0 1 1
1 2 2
0 2 1
1 0 2
1 0 1
2 0 1
2 2 1
10 3
1 0 2
2 0 1
3 3 3
2 3 0
0 1 3
1 2 2
3 0 2
1 2 0
1 1 0
0 3 2
10 2
2 0 2
0 0 0
2 0 0
0 2 2
1 0 1
0 1 0
0 2 0
1 2 1
1 2 0
0 1 2
10 9
2 0 2
1 2 0
2 2 0
1 1 2
1 2 2
0 1 0
1 0 0
2 1 1
0 0 0
0 0 2
10 2
2 1 0
0 2 0
1 1 2
0 1 2
1 2 2
2 0 0
0 1 1
2 2 2
0 0 1
1 2 1
10 2
1 2 1
1 1 0
1 2 0
1 0 1
0 2 1
0 1 1
0 1 2
1 2 2
2 1 0
1 0 0
10 9
0 3 0
0 2 3
0 2 0
0 0 2
2 0 3
2 3 3
3 2 1
3 0 0
0 2 2
2 1 2
10 6
2 0 2
0 0 3
1 0 3
0 0 0
3 3 2
0 2 2
0 1 2
3 3 0
3 2 1
3 1 1
10 4
0 2 0
2 0 1
1 1 0
0 0 1
2 1 1
0 1 2
1 1 1
2 0 0
1 1 2
0 0 0
10 9
0 2 1
2 1 2
3 1 3
3 0 0
1 3 3
0 1 0
0 1 3
2 1 0
1 2 0
3 0 1
10 4
3 3 0
0 0 1
2 3 0
3 2 0
2 2 0
2 0 1
0 0 0
1 2 2
0 3 1
2 0 3
10 6
2 2 2
3 1 2
1 2 3
0 2 2
0 3 2
1 1 3
0 1 3
2 2 0
2 3 3
0 0 0
10 9
0 0 1
2 2 2
2 1 0
0 1 0
2 2 1
0 1 2
0 2 2
1 1 0
2 1 1
2 1 2
10 9
1 1 1
1 0 1
0 1 2
1 1 3
3 0 3
3 3 3
2 3 3
2 2 0
2 3 2
1 2 1
10 8
3 1 1
2 3 1
0 3 1
2 0 1
1 3 2
3 1 2
2 2 0
0 1 3
0 2 1
1 1 3
10 7
2 1 1
1 1 0
2 1 2
2 0 1
2 2 0
0 0 2
0 2 1
1 0 0
2 2 2
2 2 1
10 3
1 2 1
1 0 0
1 1 0
0 2 0
2 1 0
0 1 2
2 0 2
1 2 0
2 0 1
1 1 2
10 9
1 1 0
0 1 2
0 1 0
0 0 1
1 2 1
0 2 2
2 1 1
2 2 0
1 2 2
2 1 2
10 6
0 3 0
3 3 2
1 0 3
2 2 2
3 2 3
2 3 3
2 0 2
2 0 3
3 0 1
3 1 0
10 2
0 0 0
2 1 2
1 1 0
2 0 1
1 3 0
2 2 1
2 3 0
1 1 2
0 3 0
0 3 3
10 8
2 0 0
2 0 2
0 0 1
1 2 1
1 2 2
0 2 1
0 1 1
0 2 0
0 1 0
1 2 0
10 8
3 0 1
0 3 1
3 3 1
3 0 0
2 3 3
2 3 2
2 3 0
3 0 2
0 3 3
3 3 2
10 3
0 0 2
2 0 1
0 2 1
1 0 2
2 2 0
1 1 1
2 2 1
1 1 2
1 2 2
2 1 2
10 6
0 1 3
1 3 2
1 1 0
2 1 0
3 3 2
1 0 0
3 1 2
2 3 0
0 2 2
2 1 1
10 3
0 0 0
2 0 0
1 0 2
0 1 0
1 0 0
2 1 2
0 2 0
1 2 1
0 2 1
2 2 0
10 2
0 1 0
0 1 3
1 2 3
0 1 1
3 2 2
2 2 0
3 1 2
3 1 0
3 0 0
2 2 2
10 7
2 3 3
0 1 1
2 1 0
0 2 2
3 1 3
3 1 1
2 0 2
0 3 0
0 2 1
1 2 2
10 2
0 0 1
2 2 1
1 0 2
2 0 0
1 1 1
2 1 0
1 2 2
2 2 0
1 1 0
0 1 1
10 2
0 3 2
2 3 0
3 2 0
0 1 1
2 0 3
1 0 2
0 0 1
2 2 0
1 2 3
3 0 0
10 2
0 0 0
1 0 0
0 0 2
2 1 1
1 2 1
2 0 1
2 2 1
2 0 0
1 2 0
1 1 0
10 8
0 0 1
1 0 2
2 2 2
0 0 2
1 0 0
1 2 2
0 2 0
0 2 2
2 1 0
2 0 2
10 3
3 3 0
1 3 1
0 2 3
3 1 1
0 2 1
1 0 2
0 0 1
3 2 2
0 1 0
0 0 3
10 8
0 0 1
3 1 1
3 1 0
3 2 3
0 1 3
3 2 0
1 0 0
2 1 3
2 3 1
3 2 2
10 2
1 1 1
1 0 1
2 1 2
2 0 0
1 2 2
2 2 0
1 2 1
2 2 2
0 1 2
2 0 2
10 2
1 1 1
0 2 3
0 1 2
3 2 0
3 1 3
3 2 3
1 0 3
3 2 1
1 2 0
0 1 3
10 3
2 1 0
0 1 1
1 1 1
2 2 1
2 2 2
1 0 0
2 0 0
0 2 0
1 1 2
1 0 1
10 2
2 1 2
2 1 3
0 2 3
2 0 3
3 3 2
1 1 2
3 2 3
2 2 2
0 3 0
3 1 3
10 5
0 0 1
0 0 2
2 1 1
2 0 0
0 1 0
0 2 1
2 1 0
1 1 2
2 0 2
2 1 2
10 6
3 3 0
2 1 3
0 0 0
2 1 2
2 0 2
1 1 1
1 2 2
1 1 0
0 1 2
0 0 1
10 2
2 1 2
2 1 0
2 0 0
2 2 1
2 1 1
1 0 2
0 1 0
2 2 0
1 2 2
0 1 1
10 2
2 0 0
0 0 0
2 2 1
0 2 1
1 2 2
0 1 1
0 0 2
2 0 2
0 2 2
2 1 2
10 8
2 2 3
3 1 3
0 0 2
2 3 2
1 1 0
1 2 2
0 3 3
1 0 3
3 1 0
0 0 0
10 4
1 2 1
0 2 1
1 1 1
2 0 0
1 1 0
0 2 0
1 2 2
0 0 0
0 1 2
1 1 2
10 4
0 3 1
3 1 0
2 0 1
2 3 3
3 3 3
3 2 2
2 0 2
3 0 0
1 3 3
1 3 1
10 9
1 2 3
2 2 2
1 3 0
3 3 0
1 2 1
3 2 1
2 0 1
3 2 0
2 1 0
1 0 3
10 5
3 0 3
2 3 2
3 1 1
0 3 0
3 2 1
3 1 3
3 3 0
1 0 2
1 0 1
0 2 3
10 7
0 1 0
2 3 3
2 3 2
3 1 1
3 0 0
1 1 0
0 3 0
3 3 3
0 0 1
0 1 2
10 8
0 0 0
2 1 0
2 2 0
2 1 1
0 2 1
0 1 1
1 2 0
1 1 0
2 0 2
2 1 2
10 9
0 2 1
1 0 0
0 3 2
1 2 1
0 0 2
0 2 0
1 0 2
0 1 1
3 2 2
1 3 0
10 5
0 0 1
0 1 1
2 1 0
0 1 2
0 1 0
0 2 0
1 1 0
1 0 0
1 1 1
2 2 1
10 8
1 1 1
1 0 0
0 2 0
0 2 2
0 1 2
1 0 1
2 0 0
1 1 2
2 1 0
2 2 0
10 8
1 0 1
1 2 0
0 0 1
1 1 1
0 0 2
0 1 1
2 2 2
1 2 2
2 1 1
2 1 0
10 8
1 2 2
1 1 0
1 1 1
0 2 1
2 1 2
1 0 2
0 2 2
2 0 0
1 0 1
1 0 0
10 8
2 1 1
1 2 2
0 0 2
1 2 1
0 1 1
0 0 1
1 2 0
1 1 2
2 2 1
2 2 0
10 2
3 3 3
3 0 2
3 3 0
3 1 0
0 2 0
2 3 2
3 0 1
0 2 1
2 0 1
1 2 0
10 3
1 2 0
2 2 3
3 1 3
0 1 3
0 2 3
3 2 1
3 0 2
1 1 2
0 1 0
0 0 0
10 4
0 0 1
1 2 2
0 2 0
0 2 1
1 2 1
2 1 2
0 1 1
0 1 0
1 0 2
1 1 0
10 2
2 1 1
0 0 2
1 2 3
0 2 0
0 3 1
1 0 1
3 0 0
0 1 2
2 1 3
1 0 3
10 5
1 1 1
3 1 3
0 1 3
3 3 0
3 3 2
1 2 3
3 0 3
3 0 2
0 3 0
2 2 2
10 9
1 0 2
0 2 1
0 1 2
2 2 0
2 2 1
0 0 0
2 2 2
2 0 1
0 1 1
0 1 0
10 8
2 2 0
2 2 1
0 0 2
0 1 1
2 0 0
1 0 0
0 1 0
1 2 2
0 2 2
1 1 2
10 3
1 1 2
2 0 0
0 0 1
0 0 2
0 2 1
1 2 1
2 2 1
0 2 2
1 1 0
0 1 1
10 5
1 3 2
3 0 0
0 1 1
0 0 3
0 2 0
0 2 2
3 1 0
1 3 3
1 2 1
3 0 2
10 7
1 2 0
1 0 1
2 2 1
1 1 2
0 2 2
1 2 2
0 2 0
2 1 1
1 1 0
2 2 2
10 4
2 0 1
0 1 1
0 2 2
1 2 1
1 1 1
1 0 0
0 2 1
2 2 0
0 0 0
1 2 2
10 6
2 3 3
2 0 2
3 3 2
0 3 2
0 0 2
3 0 0
1 2 1
3 3 3
1 2 3
3 2 3
10 2
2 0 1
0 2 2
1 1 2
2 0 2
1 2 1
0 1 2
0 2 1
2 1 2
1 0 0
1 2 0
10 8
1 1 1
2 0 2
0 2 2
1 2 2
2 1 1
1 0 0
2 2 1
1 2 1
0 1 0
2 1 0
10 4
2 1 0
0 1 2
1 0 2
1 1 0
1 2 0
1 2 2
0 2 0
0 1 1
0 2 1
1 2 1
10 6
1 0 0
1 0 2
2 0 1
1 2 0
2 0 2
2 2 2
1 1 2
0 2 2
2 2 1
1 2 1
10 9
3 3 2
0 3 2
1 0 0
0 1 3
1 3 1
0 2 0
2 0 1
1 0 3
2 3 3
1 0 2
10 5
0 3 2
2 0 0
2 1 2
1 2 0
1 1 1
0 1 0
2 2 1
0 3 3
3 0 0
1 2 1
10 2
2 2 1
0 1 2
2 2 0
0 1 0
0 0 0
2 1 0
0 1 1
1 2 1
0 0 1
1 2 2
10 4
2 0 2
0 0 1
2 2 1
1 2 2
0 1 2
2 0 1
0 2 0
2 2 0
2 1 0
1 1 2
10 3
2 2 3
2 3 1
1 3 2
2 1 1
2 2 2
1 2 2
2 3 0
0 3 3
2 0 1
0 0 3
10 6
1 2 0
3 2 2
3 0 0
1 2 1
1 0 3
1 1 3
2 2 1
1 0 0
1 2 2
3 3 0
10 9
0 1 0
1 0 1
0 2 1
1 2 1
2 1 1
1 1 2
1 2 0
0 0 1
0 2 2
0 1 2
10 5
3 3 0
2 2 3
0 2 2
0 3 3
2 0 3
3 2 1
0 0 3
3 0 2
3 3 1
2 0 1
10 6
1 1 0
2 0 0
0 1 0
2 0 2
2 1 2
0 0 2
2 2 2
0 2 0
1 2 2
1 2 0
10 7
0 2 1
2 2 2
0 0 0
1 2 0
1 0 2
1 1 0
1 1 1
1 0 1
1 2 1
2 1 0
10 8
2 0 2
0 3 1
2 1 1
0 2 3
1 0 1
2 0 3
1 3 1
3 3 1
3 3 0
0 1 2
10 5
3 1 2
1 1 3
0 0 0
1 3 3
0 1 3
0 3 0
1 2 0
2 2 2
0 3 2
1 0 1
10 7
0 1 2
3 1 2
1 2 3
3 3 2
3 2 2
1 3 1
1 2 1
0 2 3
0 0 3
1 3 2
10 9
3 1 0
3 3 0
2 0 2
0 0 1
2 3 1
1 3 1
3 2 3
1 0 0
2 3 0
2 2 0
10 2
0 0 2
0 3 1
3 3 1
1 3 2
0 0 3
1 3 0
1 0 0
3 3 0
3 2 0
1 2 3
10 5
3 3 2
3 0 2
2 3 3
2 2 3
2 3 0
0 1 3
2 2 0
1 0 2
3 1 2
2 0 0
10 3
2 0 0
2 1 0
2 1 1
0 1 0
1 1 2
0 0 0
1 0 2
2 2 0
1 2 1
2 0 2
10 7
0 2 1
1 1 0
1 0 0
0 0 1
2 1 0
1 1 1
1 2 0
1 2 2
1 2 1
1 0 1
10 7
2 2 2
0 2 3
0 3 1
3 1 1
0 0 3
1 1 0
2 0 2
3 1 3
1 3 2
2 3 0
10 5
1 0 0
1 1 1
2 0 0
1 0 1
1 1 2
0 2 0
0 0 2
1 2 2
1 2 0
0 0 1
10 3
1 2 2
2 3 3
3 0 3
2 2 2
0 1 3
2 0 0
3 3 3
0 2 2
3 3 0
2 1 2
10 5
1 1 1
0 1 2
2 0 2
0 1 1
2 1 1
1 0 1
0 2 1
1 1 2
1 2 0
1 0 2
10 4
0 2 2
1 0 1
3 0 1
0 0 2
1 0 2
1 2 2
0 1 0
3 0 0
1 3 0
2 3 0
10 9
3 1 1
3 0 1
0 2 0
1 0 3
2 0 0
2 2 0
3 1 2
0 0 2
0 3 2
0 0 0
10 6
0 0 1
3 0 1
2 3 3
1 0 3
3 3 3
3 1 1
3 1 0
3 2 0
3 1 2
3 0 2
10 3
0 0 2
0 1 1
1 0 2
1 0 1
0 0 1
0 1 2
1 2 1
0 0 0
1 2 2
0 2 0
10 6
2 2 0
2 3 3
0 1 2
2 1 0
0 3 2
1 2 1
0 3 3
1 1 0
0 1 1
1 0 0
10 4
1 3 2
3 3 3
3 2 1
3 1 0
2 1 0
1 1 3
2 3 3
3 0 1
3 3 1
2 0 0
10 8
2 1 3
1 1 3
3 2 2
1 2 0
3 0 1
0 1 3
3 0 2
2 1 0
2 0 3
0 0 0
10 5
0 1 1
3 1 2
0 2 3
2 2 2
0 1 3
0 0 3
2 3 0
1 3 1
0 1 0
3 3 1
10 7
2 1 0
2 2 2
0 1 2
2 0 2
2 1 2
2 2 1
2 1 1
2 0 1
2 0 0
0 0 0
10 4
0 0 1
0 0 2
0 2 0
2 3 0
1 3 1
3 3 2
3 0 2
1 3 2
3 2 1
3 1 2
10 4
1 3 2
1 1 1
0 1 0
0 2 1
0 0 0
2 2 3
1 0 0
0 3 0
2 1 1
0 3 1
10 5
0 1 1
0 0 3
1 0 0
2 1 3
2 2 2
0 0 0
1 3 0
3 1 2
3 1 1
1 2 2
10 5
3 2 2
3 2 3
3 1 1
2 2 2
2 0 1
0 2 0
0 1 2
0 1 0
1 2 2
1 2 0
10 9
3 3 3
1 0 0
3 1 0
1 1 0
2 2 2
3 2 1
3 1 1
3 3 0
2 2 1
3 3 1
10 4
2 2 0
1 1 1
2 0 2
2 0 1
0 0 2
2 2 2
1 2 1
0 0 0
1 2 2
1 0 1
10 8
1 2 0
1 0 0
0 0 1
2 1 1
1 2 1
2 0 0
1 0 1
0 2 1
0 1 0
0 2 0
10 9
0 1 3
1 3 2
2 1 0
3 2 3
1 2 2
0 1 1
3 3 3
2 3 3
3 2 1
0 0 0
10 3
3 1 3
2 2 0
1 2 1
0 3 3
3 3 0
3 3 1
3 0 0
0 3 2
3 1 2
0 3 1
10 8
1 0 2
0 0 1
2 2 1
1 2 2
0 2 1
0 1 2
2 1 1
2 1 0
0 1 1
2 2 0
10 6
3 1 0
2 1 1
1 3 1
3 2 2
1 1 2
2 2 2
0 3 3
3 0 2
2 3 0
2 1 2
10 9
2 1 0
0 0 1
1 2 1
2 1 2
0 0 0
0 2 2
2 2 1
0 0 2
1 1 1
2 2 2
10 7
0 1 3
1 2 2
0 1 0
1 0 1
3 2 3
2 2 1
1 1 0
1 2 0
0 1 2
2 1 3
10 7
0 2 2
2 0 2
1 2 0
2 2 0
2 1 0
2 0 0
1 0 2
0 1 0
0 2 0
0 1 2
10 8
1 1 2
2 1 1
0 2 0
0 0 1
1 2 1
2 1 2
2 0 2
1 0 0
1 2 0
0 0 2
10 4
2 2 0
2 2 2
1 1 0
1 2 0
1 0 0
2 0 2
2 1 1
2 1 2
0 2 2
2 0 0
10 6
2 2 1
1 1 3
3 3 3
3 1 1
2 1 1
3 3 2
1 3 3
1 1 0
1 3 1
0 0 3
10 5
2 1 2
1 0 0
1 1 1
2 1 0
2 1 1
2 2 2
0 0 0
2 0 0
1 1 2
0 1 0
10 8
1 1 0
0 1 2
2 0 1
1 2 0
2 2 1
2 1 2
1 2 1
2 2 2
1 0 0
1 1 1
10 6
1 0 2
0 2 2
2 0 0
2 0 2
1 1 1
1 2 0
2 2 2
0 0 2
1 1 0
2 1 2
10 4
2 1 2
1 0 1
0 2 0
2 0 2
1 1 1
0 0 1
1 1 2
2 0 0
0 0 2
0 2 1
10 4
0 2 2
1 2 0
0 2 1
1 0 0
2 0 2
0 0 0
1 0 2
2 2 1
1 0 1
1 2 1
10 2
1 1 2
1 2 1
0 1 1
0 2 1
1 0 2
1 0 0
2 0 2
0 1 0
1 0 1
2 2 2
10 2
1 2 1
0 0 2
2 1 1
0 2 2
1 2 0
2 1 2
1 1 1
2 1 0
0 0 0
1 2 2
10 3
2 2 0
0 1 2
2 0 0
1 1 2
2 1 2
1 0 2
2 0 2
0 0 0
0 1 0
1 2 1
10 3
3 1 0
1 2 1
1 3 0
2 2 0
2 0 2
3 3 1
1 1 3
1 0 3
0 3 0
1 0 2
10 3
0 2 3
0 1 1
0 1 3
0 1 0
0 3 3
1 1 2
0 0 2
1 2 3
0 2 1
0 1 2
10 3
0 2 0
2 0 2
3 2 0
3 0 2
3 3 3
0 0 3
3 1 2
2 1 1
2 3 2
2 2 3
10 4
0 0 1
1 2 1
0 2 2
0 2 1
0 0 0
1 1 2
2 0 0
2 1 1
0 1 0
1 1 0
10 9
1 2 2
1 0 2
2 0 1
2 2 0
2 1 2
2 2 1
0 2 2
0 1 0
0 1 1
2 2 2
10 7
3 0 0
1 3 2
0 0 1
2 1 1
2 0 0
3 2 1
0 1 1
2 3 3
0 0 3
2 1 0
10 2
2 1 1
1 1 0
1 0 0
1 2 1
2 0 1
0 1 2
2 2 2
2 1 2
1 2 2
0 0 1
10 8
1 0 3
0 0 2
3 0 3
2 1 0
3 2 0
2 3 0
3 2 2
0 1 0
2 1 3
2 0 3
10 2
3 3 1
3 3 2
3 1 0
0 3 0
3 2 2
1 1 2
1 2 2
2 1 1
2 3 0
2 2 0
10 6
3 2 0
2 2 1
3 0 0
2 3 1
3 1 0
2 3 2
0 2 1
1 2 3
3 1 1
1 0 1
10 8
0 1 1
2 1 0
2 0 0
1 0 0
0 2 0
1 1 1
1 2 1
1 1 2
1 0 2
2 0 1
10 5
2 3 3
2 1 0
3 0 1
0 2 3
1 1 1
1 0 3
2 3 1
2 2 1
0 2 2
1 3 0
10 7
0 1 2
1 2 1
2 1 2
2 0 0
2 0 2
0 0 2
2 2 1
0 2 1
1 2 0
1 1 2
10 8
1 1 0
2 0 2
1 2 2
0 0 0
0 1 1
1 1 2
1 0 0
2 1 0
2 2 1
0 1 0
10 3
2 1 0
2 2 2
2 2 1
1 0 1
0 2 2
1 1 0
1 0 2
0 1 0
2 0 2
2 0 1
10 9
3 1 1
3 0 0
0 3 1
3 2 1
3 1 2
2 0 0
1 1 0
1 1 2
1 3 2
2 0 1
10 5
1 0 2
3 2 3
1 3 0
1 1 0
0 1 0
3 3 0
2 0 2
1 3 3
2 2 1
3 3 2
10 8
0 0 0
0 0 1
2 0 1
2 1 0
0 1 2
1 2 2
2 2 2
0 1 1
2 1 1
1 0 0
10 3
2 0 0
1 0 1
0 0 1
1 0 0
1 0 2
0 0 2
1 1 0
2 0 2
0 0 0
0 2 2
10 8
1 1 0
2 1 2
2 2 0
0 0 0
1 0 1
1 1 1
1 0 0
1 2 1
0 1 2
1 0 2
10 6
0 3 0
3 0 1
2 1 2
3 0 0
0 2 2
0 0 2
2 3 1
2 1 1
3 3 2
1 1 3
10 9
1 0 2
2 2 1
1 2 3
3 3 0
2 3 0
0 3 1
0 1 3
3 2 1
0 2 0
2 3 3
10 2
1 2 2
3 0 2
3 0 0
3 2 1
0 2 0
3 0 1
0 3 3
2 2 0
3 1 1
1 2 1
10 4
2 3 3
0 1 1
2 2 0
0 1 2
2 1 1
1 2 1
3 1 3
3 0 3
3 2 0
2 3 2
10 5
1 2 3
3 1 2
1 0 2
1 0 0
2 0 1
0 2 2
1 1 1
2 0 0
2 3 2
1 1 0
10 7
3 0 0
1 1 3
1 1 2
0 0 2
2 1 3
1 0 2
2 2 0
0 2 2
0 0 1
3 1 2
10 5
0 0 1
1 0 2
2 1 1
0 0 2
1 1 0
1 2 0
1 2 2
1 2 1
0 0 0
0 1 2
10 2
2 1 2
2 0 0
0 2 0
0 0 1
0 1 1
0 2 2
0 1 2
0 2 1
1 2 1
1 0 0
10 8
2 2 2
1 2 2
2 2 0
0 2 2
0 2 0
2 1 0
1 1 0
1 0 0
1 0 2
1 1 2
10 4
3 3 0
0 0 2
1 0 3
1 1 0
3 1 0
1 2 3
2 0 0
1 0 2
2 2 0
0 1 1
10 9
0 2 0
0 1 2
2 0 1
1 1 0
1 0 0
2 0 2
0 0 0
2 2 0
1 2 0
1 1 1
10 5
0 0 0
2 1 1
1 0 2
1 0 1
2 2 0
2 2 2
0 1 0
2 1 2
0 0 2
2 0 2
10 7
1 1 0
2 0 3
0 1 1
1 1 2
0 2 0
3 2 0
3 0 2
2 2 2
1 0 0
3 1 2
10 6
0 3 0
2 2 1
1 0 2
3 3 0
2 3 1
3 2 0
0 1 3
2 0 2
1 1 2
1 2 3
10 8
2 1 0
2 1 1
1 1 0
2 0 0
1 2 1
0 0 1
0 1 0
1 0 2
1 2 2
1 2 0
10 7
2 1 0
2 2 1
1 1 0
2 1 2
1 2 0
1 2 1
1 1 1
1 1 2
0 1 2
0 2 1
10 7
0 3 1
1 1 1
2 2 0
0 1 2
1 3 2
1 0 2
3 1 3
3 1 0
3 1 2
1 3 0
10 9
2 2 0
0 2 1
2 1 2
2 2 2
0 0 0
2 0 1
1 2 2
0 1 2
0 0 1
1 0 0
10 8
1 0 1
1 2 1
1 2 2
1 3 3
0 3 1
1 0 2
1 0 0
0 0 2
2 0 0
0 1 2
10 5
0 0 0
3 0 2
1 3 3
1 2 0
0 3 1
3 0 1
0 2 3
2 2 2
0 3 2
3 2 2
10 7
0 1 2
1 0 1
0 1 1
0 2 2
1 1 2
0 2 0
2 2 2
2 1 0
0 0 1
1 0 0
10 5
1 0 2
2 1 1
0 1 1
2 1 0
0 0 0
1 1 2
0 2 1
1 0 1
2 1 2
1 1 1
10 5
3 3 2
1 0 0
2 1 0
2 0 1
2 0 3
1 0 2
2 3 2
3 0 1
0 2 0
0 2 3
10 5
1 3 0
1 0 0
3 1 2
3 0 3
2 3 1
1 1 1
0 3 1
2 0 1
0 3 3
1 3 3
10 9
3 1 2
0 2 0
2 3 0
3 1 1
3 3 3
3 1 3
1 1 0
0 2 3
1 2 2
0 3 0
10 8
1 2 1
3 3 3
2 1 3
0 3 1
1 1 1
2 1 0
0 3 3
3 3 1
1 0 3
2 3 2
10 5
0 1 1
2 2 2
0 0 2
0 1 2
0 1 0
0 2 0
0 0 0
2 2 0
2 1 0
1 2 2
10 9
2 2 1
1 2 1
0 2 1
0 0 1
2 1 1
1 1 2
1 0 0
1 1 0
1 0 2
1 2 2
10 7
0 0 3
1 3 3
2 3 2
1 1 1
2 1 1
2 2 2
3 1 1
3 1 2
2 1 0
3 2 0
10 3
2 2 0
0 0 0
1 0 0
1 0 2
1 2 0
1 1 1
2 2 2
0 2 0
1 2 2
1 0 1
10 2
2 2 1
0 0 1
1 0 0
2 2 2
0 2 1
2 0 1
1 0 2
2 1 1
0 1 0
0 1 2
10 3
0 1 0
2 1 0
2 2 1
1 0 1
2 1 2
0 2 2
2 0 1
1 2 2
2 2 2
0 0 2
10 7
1 1 0
0 1 1
0 2 0
3 3 1
1 3 2
2 3 3
1 2 2
0 2 3
0 3 1
1 1 2
10 5
3 0 0
1 3 0
3 1 0
1 3 3
0 0 2
0 2 2
1 1 3
2 0 2
1 2 0
1 1 0
10 7
1 2 0
1 0 0
2 1 2
1 1 2
0 0 0
0 1 2
0 2 2
0 1 1
0 2 0
2 2 0
10 7
0 1 2
2 1 1
0 2 2
1 2 0
2 1 0
0 0 0
2 2 0
2 0 0
1 2 1
0 0 1
10 2
1 1 0
2 0 1
1 0 2
0 1 1
0 1 2
0 1 0
0 0 2
2 0 0
2 2 2
2 1 2
10 2
2 1 0
0 1 2
2 2 2
0 2 1
0 0 2
0 2 0
2 0 1
1 0 2
2 1 1
1 0 0
10 5
0 3 2
3 3 1
0 0 0
0 1 1
2 1 3
0 0 1
3 2 2
3 3 2
2 1 2
0 1 3
10 2
1 2 2
2 2 2
2 1 2
2 0 0
1 1 1
0 0 1
2 1 0
1 2 1
2 2 1
1 1 2
10 9
2 1 3
3 0 0
0 0 0
2 1 1
1 1 0
0 2 1
1 1 3
1 0 3
0 1 0
1 2 0
10 9
1 1 2
0 0 0
1 2 2
0 1 0
0 0 1
1 0 0
2 2 0
0 0 2
2 0 2
2 0 0
10 5
2 1 1
2 0 2
2 2 1
1 0 1
0 2 2
0 0 0
2 2 0
0 2 1
1 2 0
0 0 1
10 6
0 2 2
1 2 2
0 1 1
1 1 2
2 2 0
2 1 2
0 2 0
1 0 0
0 0 2
0 1 0
10 3
2 1 1
2 1 2
2 0 1
2 0 2
1 1 0
0 0 2
1 2 2
0 2 0
2 1 0
1 2 1
10 3
2 2 0
0 0 2
1 2 0
1 1 1
1 0 2
0 0 0
0 1 2
2 0 2
0 0 1
2 1 1
10 2
2 2 2
1 1 0
1 0 1
0 0 0
2 2 0
2 1 0
2 0 0
2 2 1
1 1 2
2 1 1
10 4
0 2 2
0 0 0
2 3 0
3 1 0
3 3 0
3 2 2
3 2 3
3 0 3
0 3 3
0 0 3
10 2
1 2 2
0 1 1
2 0 1
0 1 0
0 0 2
0 2 2
2 0 2
2 2 2
2 1 2
2 2 0
10 7
0 0 3
0 3 0
0 1 0
3 1 3
0 0 0
2 3 2
3 0 1
1 3 2
3 1 1
0 0 2
10 2
0 0 2
2 0 1
2 0 2
0 2 1
1 0 0
0 2 2
1 0 1
1 1 2
0 0 1
0 1 2
10 6
3 3 0
2 2 0
2 0 2
0 0 3
0 3 0
0 1 0
3 2 1
2 1 1
3 1 2
0 1 2
10 9
2 0 0
0 2 1
2 2 0
0 0 2
1 1 2
0 1 0
0 1 1
2 0 2
1 0 2
0 2 2
10 9
1 2 1
2 1 0
2 0 2
0 0 1
1 1 2
0 1 0
2 2 0
0 0 2
1 2 2
0 1 1
10 7
1 0 2
0 0 1
3 2 3
0 3 3
0 3 0
0 2 2
1 3 0
3 2 0
3 2 2
2 2 1
10 3
0 1 1
1 1 1
0 0 2
2 0 1
1 1 2
2 2 0
0 1 2
0 2 2
1 1 0
0 2 1
10 6
1 1 3
3 3 0
1 0 2
3 2 1
2 0 0
0 2 2
0 2 0
3 3 3
1 0 1
1 3 0
10 7
1 1 0
0 1 0
2 2 1
0 2 2
2 0 2
0 1 2
1 0 0
1 0 2
1 1 1
2 2 0
10 7
2 0 2
1 1 1
2 0 1
0 2 2
1 2 1
0 2 1
2 0 0
0 1 1
2 1 0
1 2 0
10 2
1 0 1
2 1 1
2 1 2
2 0 1
1 1 1
2 2 2
1 1 0
1 2 2
0 2 1
2 2 0
10 4
1 3 3
2 2 1
0 0 3
1 0 0
3 1 3
2 0 2
1 1 1
2 3 3
0 3 0
3 3 0
10 3
2 0 2
1 0 1
2 0 1
2 1 1
0 1 2
2 1 0
0 2 0
1 2 1
0 2 2
2 1 2
10 8
2 3 3
0 2 2
2 3 1
2 1 0
0 2 3
2 0 1
3 0 0
1 1 1
3 3 2
2 2 1
10 9
1 3 3
2 2 0
3 0 2
3 0 0
3 0 1
2 2 2
2 3 3
0 3 1
0 2 2
1 3 1
10 9
2 3 0
1 2 1
3 2 1
2 0 3
3 1 2
1 2 0
1 3 0
0 2 0
2 3 1
3 3 0
10 9
1 1 2
1 0 0
1 0 1
2 2 0
2 1 2
2 0 2
2 0 0
2 1 0
0 2 0
2 2 2
10 7
0 1 2
2 0 0
0 2 0
1 1 0
2 2 2
0 0 0
1 1 1
1 2 1
1 0 1
0 2 1
10 2
3 1 2
2 1 3
3 1 3
1 2 3
3 2 2
3 0 2
1 1 3
1 3 1
2 0 1
2 3 3
10 6
3 0 0
0 2 0
3 3 0
2 0 1
2 3 0
2 2 1
0 2 1
2 1 0
2 0 2
0 0 3
10 9
0 1 2
0 0 0
1 0 2
2 0 0
0 1 0
2 1 1
2 1 0
1 0 0
2 2 0
1 1 2
10 3
0 0 0
2 2 1
3 2 2
0 0 3
1 3 3
1 3 0
2 3 1
3 2 1
1 3 2
1 0 0
10 3
0 0 0
2 2 1
1 0 2
0 1 0
1 0 1
2 2 0
0 0 1
2 1 1
1 1 2
2 0 2
10 2
2 1 0
1 2 3
3 0 0
0 2 2
1 1 1
2 2 0
3 3 0
0 3 3
2 0 2
1 1 0
10 9
1 3 2
2 3 0
1 2 3
0 2 2
1 1 2
0 2 0
1 0 1
0 3 0
0 1 0
2 1 0
10 4
1 0 0
2 2 2
1 0 1
2 2 0
0 2 0
1 2 1
2 1 2
1 0 2
0 1 1
2 0 1
10 4
2 3 3
0 3 2
2 0 0
0 3 3
3 3 3
3 3 1
1 0 0
2 1 2
2 0 2
2 2 2
10 9
1 0 2
1 2 0
1 0 1
0 0 2
2 2 0
1 1 1
2 1 2
2 0 0
1 0 0
2 2 1
10 5
1 2 0
1 0 1
0 2 1
0 0 2
1 0 0
1 0 2
0 2 2
2 2 0
2 1 2
0 0 0
10 3
1 1 2
0 2 1
2 0 0
0 1 0
1 2 2
1 0 1
0 2 0
1 2 1
1 0 2
0 0 0
10 9
1 2 1
0 2 2
2 2 1
0 2 0
1 0 0
0 2 1
0 0 1
0 0 0
1 1 2
2 1 0
10 6
0 2 2
0 0 0
0 1 0
2 0 2
2 0 0
1 0 2
0 1 2
1 2 2
0 2 1
2 1 2
10 4
1 1 3
2 1 3
3 1 0
1 2 1
1 0 0
0 1 1
1 3 3
3 2 0
3 0 1
0 0 3
10 4
1 0 3
0 3 0
2 0 3
2 1 0
1 2 2
1 0 0
2 3 3
0 0 1
0 0 2
0 2 2
10 2
1 1 1
0 1 2
1 1 2
1 1 0
1 2 1
2 2 2
2 0 2
0 0 2
0 0 1
2 2 1
10 8
0 2 1
1 0 0
0 1 0
1 2 1
0 0 2
2 2 0
2 0 0
1 0 1
0 1 2
2 2 1
10 7
1 0 2
0 1 1
0 0 2
0 0 1
1 2 2
2 0 1
2 0 2
0 1 2
1 0 0
2 2 0
10 9
1 1 2
3 1 1
2 2 0
1 2 2
2 3 1
2 2 1
1 0 1
1 3 0
2 3 3
2 0 2
10 6
0 0 1
2 1 1
2 2 1
1 0 1
0 1 2
1 2 0
2 0 2
0 1 0
1 1 0
2 0 1
10 6
0 0 1
1 2 0
1 1 3
2 2 1
1 0 0
0 3 1
3 2 2
2 3 1
0 2 1
2 3 0
10 9
1 0 0
0 0 1
1 1 0
1 0 2
0 0 2
0 2 1
0 1 2
2 1 1
1 2 0
0 2 0
10 8
1 0 1
0 1 2
1 2 1
0 2 2
1 1 2
0 0 1
0 0 2
2 0 0
0 1 1
0 1 0
10 3
0 3 1
2 1 2
1 3 1
2 0 3
2 1 0
2 2 3
1 0 2
3 3 3
2 3 0
1 1 2
10 3
0 1 0
3 1 3
0 3 3
3 0 3
2 3 2
3 1 1
0 2 2
3 3 2
0 3 0
3 2 0
10 9
1 2 2
0 2 2
2 1 0
2 2 1
2 2 0
1 0 1
0 0 2
2 0 2
1 1 0
0 0 1
10 2
0 2 2
3 0 3
1 2 1
0 1 1
3 3 2
2 1 1
1 0 1
2 3 1
1 0 2
1 3 2
10 7
1 2 0
0 2 2
1 1 2
2 1 1
2 0 1
0 0 1
2 0 0
1 0 1
2 2 0
0 1 1
10 7
3 3 0
1 2 3
0 1 1
3 1 2
2 3 2
2 1 3
1 2 1
1 0 0
3 2 2
3 3 1
10 6
1 0 1
1 1 1
0 2 2
1 2 1
1 1 2
0 0 1
0 1 1
1 2 0
2 1 1
1 0 0
10 9
1 2 2
0 2 0
2 1 0
1 1 1
2 0 1
1 2 0
1 1 2
1 0 1
2 1 2
1 1 0
10 7
2 0 2
2 1 1
2 0 1
1 1 2
0 0 1
0 2 1
2 1 2
2 1 0
2 2 2
0 1 1
10 4
2 0 2
0 1 1
1 0 0
1 3 1
2 1 1
1 3 3
2 3 0
1 2 1
3 3 3
3 2 2
10 7
1 0 2
1 1 1
1 1 0
2 1 2
0 2 2
1 0 0
0 1 0
2 0 0
0 0 2
0 1 2
10 4
1 0 3
0 3 3
2 2 3
3 2 2
2 0 1
3 0 3
1 2 1
0 2 1
3 0 0
0 0 3
10 4
3 0 1
0 1 1
0 3 0
2 3 1
2 0 3
0 2 0
0 0 2
2 1 0
3 1 2
2 2 3
10 8
2 1 1
1 2 2
0 0 2
2 0 1
1 1 2
1 1 0
0 1 0
2 1 2
1 2 0
1 0 1
10 3
1 1 1
2 0 0
2 2 2
2 1 2
2 2 1
0 1 0
2 0 2
0 1 2
2 1 0
0 2 0
10 4
1 2 2
0 0 0
1 2 0
0 2 1
0 0 1
0 2 0
2 0 0
2 1 2
0 0 2
2 2 0
10 4
1 1 3
0 0 2
2 1 2
3 1 0
3 0 1
1 3 1
2 3 2
1 0 0
0 2 0
0 1 1
10 4
2 0 0
0 1 0
2 1 0
0 2 2
1 0 0
1 1 1
2 2 0
2 1 1
1 2 0
1 1 2
10 2
1 0 1
1 2 1
2 0 2
3 2 1
0 2 2
1 1 0
1 1 2
1 3 1
2 1 0
0 1 2
10 2
2 1 1
0 1 0
0 0 0
2 1 0
1 0 0
0 3 3
3 1 2
2 0 0
1 2 2
1 3 3
10 8
0 3 3
0 1 3
1 2 3
1 1 3
0 2 1
2 2 1
1 1 2
2 1 2
2 0 1
2 2 2
10 5
2 2 0
2 0 0
0 2 2
1 1 2
1 1 0
0 2 1
1 2 1
0 1 2
2 2 2
2 0 1
10 6
0 3 3
2 2 3
2 1 3
1 0 3
1 0 0
2 3 2
2 2 2
3 2 2
3 0 2
2 0 2
10 2
1 3 3
1 1 3
3 2 1
1 3 2
2 3 2
3 2 2
1 1 2
3 2 3
3 3 0
3 1 2
10 6
2 1 2
0 0 2
2 2 1
0 1 0
0 2 0
2 0 1
1 1 2
0 1 2
1 2 2
0 0 1
10 7
0 3 1
3 3 1
3 0 0
0 1 0
0 2 0
2 0 3
1 3 0
0 1 2
3 3 2
2 0 1
10 3
3 3 3
0 3 1
0 0 1
1 3 2
2 0 0
0 1 2
1 2 2
2 3 2
0 1 1
2 2 3
10 9
2 1 2
2 2 2
1 2 0
1 1 1
1 1 2
0 1 0
1 0 1
2 0 1
0 0 0
1 0 0
10 7
2 3 1
2 1 3
2 2 2
0 0 3
0 1 2
2 3 0
1 2 2
2 0 1
0 1 1
0 2 0
10 4
0 1 1
1 2 1
1 3 0
0 2 3
0 3 1
0 2 1
2 1 3
0 0 2
3 0 0
0 3 2
10 7
0 0 1
2 0 0
2 0 2
0 2 0
1 0 1
1 2 2
0 1 2
1 1 1
2 0 1
0 1 1
10 7
0 0 2
1 1 1
1 0 1
0 0 1
1 2 2
2 0 0
0 2 2
2 1 0
1 0 2
0 1 2
10 7
0 0 0
2 0 2
0 1 2
1 1 2
0 2 1
2 2 0
2 0 1
2 0 0
1 2 1
0 2 2
10 9
1 0 0
0 0 0
3 2 3
2 0 2
1 1 3
0 1 2
2 2 2
1 0 1
3 1 0
0 2 3
10 5
1 1 1
2 0 2
2 1 2
0 1 2
0 0 1
0 2 0
0 1 1
1 0 1
2 1 0
1 2 2
10 9
0 0 1
0 2 0
1 0 2
1 1 0
1 1 2
2 0 1
2 0 2
2 2 0
0 1 1
1 0 1
10 7
1 1 1
0 1 2
1 2 2
2 1 1
1 1 0
1 0 2
2 0 1
1 0 1
2 1 0
2 2 2
10 3
0 2 0
2 2 1
1 1 1
0 0 2
0 1 2
1 1 0
0 2 1
1 2 2
1 2 1
1 0 1
10 8
2 1 2
2 2 1
1 0 1
1 1 2
0 2 0
2 2 0
1 1 0
1 2 0
1 0 2
2 0 1
10 6
3 0 3
3 2 3
1 1 1
0 2 3
1 3 2
1 2 3
0 1 1
3 1 0
3 0 2
2 0 3
10 4
3 1 1
2 0 2
1 0 0
0 1 1
3 3 0
1 1 0
0 1 0
3 0 2
2 2 3
3 0 3
10 7
0 3 0
2 1 1
0 1 3
0 1 1
2 2 1
2 0 2
2 2 2
3 0 2
1 3 2
1 1 2
10 4
1 0 0
2 1 2
1 0 1
2 0 2
2 2 0
2 0 1
1 2 0
0 2 2
1 1 1
1 0 2
10 7
1 0 2
1 3 3
1 1 1
0 1 0
2 1 3
1 3 0
2 2 2
3 1 3
3 3 1
0 1 3
10 4
0 1 0
2 2 2
2 0 2
1 1 1
0 0 2
0 0 0
1 0 2
1 2 0
0 1 2
2 1 2
10 2
1 1 1
2 2 1
0 2 1
1 2 0
0 0 2
0 2 0
0 2 2
1 1 2
2 1 0
0 1 0
10 8
0 0 2
0 2 1
0 0 0
2 2 0
0 1 1
2 1 0
1 1 1
2 2 2
2 2 1
1 1 2
10 4
1 0 0
3 3 2
0 3 3
1 2 2
1 3 0
0 1 3
0 0 0
3 1 0
2 1 2
3 1 2
10 8
2 3 2
1 3 0
2 3 1
1 0 1
1 1 0
2 0 0
0 1 0
0 2 2
2 3 3
3 0 2
10 5
3 3 1
2 0 3
3 1 2
0 1 0
1 3 3
2 1 0
1 2 2
2 2 2
3 3 3
3 1 1
10 2
2 2 3
0 0 0
1 3 2
0 1 1
3 0 1
3 3 3
3 0 3
3 1 3
3 2 0
0 2 3
10 9
2 0 2
1 1 3
0 3 2
3 1 1
1 2 0
2 1 3
3 0 3
1 0 0
1 3 2
2 2 0
10 8
0 1 0
1 1 2
0 2 1
1 0 1
2 0 2
1 2 1
0 1 2
1 1 0
2 2 0
2 2 1
10 3
0 1 0
1 1 0
1 2 1
0 0 1
1 2 0
1 1 1
2 1 1
2 1 2
2 2 1
0 2 1
10 9
0 0 0
0 2 2
2 1 0
0 2 1
0 1 0
0 1 1
1 1 1
0 1 2
0 0 1
2 2 0
10 3
1 0 1
1 2 0
1 0 0
2 3 0
3 1 2
0 1 2
1 3 3
2 0 1
1 2 2
2 1 3
10 2
2 1 0
2 0 1
0 0 2
1 0 2
2 1 1
0 0 0
2 2 0
0 1 2
1 2 0
1 1 2
10 5
3 0 1
0 0 1
2 0 2
1 0 3
2 1 0
0 1 3
2 1 3
3 3 3
0 1 0
3 2 2
10 6
3 0 0
3 2 2
2 2 2
1 2 1
0 0 2
0 1 0
2 2 1
0 2 2
3 0 2
0 3 1
10 8
3 3 0
2 3 1
2 3 0
0 2 2
0 1 0
3 0 2
0 3 0
1 3 0
2 2 2
2 3 3
10 9
1 0 1
0 2 2
1 2 1
1 2 2
1 0 2
1 1 0
2 1 2
2 2 1
2 0 2
0 0 0
10 9
0 0 3
0 0 2
2 3 2
2 3 1
0 1 1
2 0 2
3 3 2
3 3 3
3 2 2
1 0 0
10 8
0 0 2
1 2 1
1 1 2
0 0 1
0 1 2
1 0 1
2 2 2
1 1 1
2 0 2
0 2 0
10 6
2 2 2
0 0 0
1 1 0
1 0 0
2 0 0
1 0 1
0 0 2
2 2 1
1 1 2
1 2 2
10 5
1 0 3
3 0 2
2 0 1
3 3 1
1 2 3
0 1 0
3 3 0
2 3 2
1 0 2
3 1 1
10 9
0 2 1
1 0 1
1 2 0
1 0 0
2 0 1
2 2 0
0 2 0
0 2 2
2 1 2
1 2 2
10 5
3 1 2
3 3 2
3 2 3
2 0 2
2 2 0
2 0 1
1 1 3
1 3 0
2 1 1
0 0 2
10 4
1 2 1
2 0 3
3 0 2
1 3 2
2 2 3
3 2 2
0 1 3
0 3 2
2 1 0
3 3 2
10 9
0 0 0
0 2 0
2 1 0
0 2 1
0 1 2
1 0 2
2 1 1
2 1 2
2 0 0
1 2 0
10 9
2 0 2
0 1 3
0 1 0
1 0 2
3 3 3
3 2 1
1 1 1
1 2 0
0 0 1
2 2 0
10 6
0 2 1
1 0 2
1 3 3
1 1 1
2 2 0
0 3 3
3 1 2
2 3 2
3 2 0
1 2 1
10 7
1 1 3
1 3 0
2 3 2
0 3 2
2 3 3
0 2 0
2 0 1
3 3 1
3 0 0
1 0 2
10 9
0 0 0
2 2 1
0 3 3
1 1 0
1 3 0
0 1 1
1 3 2
3 3 1
0 3 2
1 0 2
10 3
3 0 0
0 0 3
1 3 2
0 2 2
0 3 3
2 0 3
0 3 0
2 0 0
3 2 0
1 2 1
10 2
2 3 1
2 3 2
2 2 2
1 2 3
1 1 3
0 2 1
1 1 1
3 0 3
0 0 2
1 2 2
10 2
3 0 2
3 0 3
1 1 2
0 2 2
0 0 2
1 0 2
0 2 0
1 0 3
3 1 2
0 2 1
10 6
2 2 0
2 0 0
0 1 0
0 1 2
0 0 2
1 0 2
1 2 1
1 2 2
0 2 1
0 0 0
10 7
2 0 0
0 2 0
2 1 2
1 2 2
0 2 1
0 0 1
1 2 0
0 2 2
2 1 0
2 2 0
10 6
0 0 2
0 1 0
2 1 2
2 0 1
1 1 2
0 1 2
2 0 2
2 0 0
0 0 1
1 0 1
10 9
1 0 2
0 0 2
2 0 0
0 2 2
1 0 1
0 1 2
0 0 1
1 2 2
1 2 0
2 2 2
10 3
1 1 1
0 3 1
3 2 1
0 0 1
0 3 0
0 2 2
2 2 2
3 1 2
3 1 1
1 0 3
10 9
0 2 0
3 2 3
3 3 0
2 2 2
1 1 3
1 2 0
2 3 0
0 0 2
0 3 1
0 0 3
10 7
0 3 1
0 2 1
2 3 2
2 2 1
1 1 0
2 3 0
1 3 1
3 2 0
1 3 0
1 2 2
10 7
1 0 1
1 1 0
0 1 2
2 1 1
0 0 0
2 0 1
1 0 2
1 2 2
1 2 1
2 2 0
10 7
1 1 2
2 1 0
0 0 1
2 0 1
1 1 1
2 1 2
1 0 1
2 0 0
0 2 1
0 1 1
10 8
1 0 2
2 2 0
2 0 2
2 0 1
1 0 0
1 2 1
1 2 2
0 2 2
1 1 2
2 1 0
10 7
2 1 2
0 2 2
2 0 2
1 0 0
1 2 2
2 0 0
0 0 1
0 1 0
1 0 2
0 0 0
10 7
1 0 1
0 0 3
0 3 3
1 3 2
2 2 0
1 2 1
3 2 3
2 0 0
2 0 2
3 0 2
10 2
2 2 1
0 1 1
1 1 1
0 1 0
1 0 2
0 0 0
1 0 1
0 1 2
0 0 2
1 1 0
10 5
1 0 0
0 1 1
2 2 1
0 2 2
2 0 1
0 2 1
2 1 0
2 0 0
1 1 2
0 0 2
10 2
0 3 3
0 0 3
0 2 1
1 2 0
1 1 1
1 3 2
0 1 2
2 0 1
3 1 3
1 0 0
10 7
1 2 1
0 0 0
1 0 1
1 0 0
2 2 2
0 1 1
0 1 2
2 1 0
2 1 1
0 2 2
10 5
2 0 0
0 1 2
0 2 2
0 3 3
3 0 0
1 0 3
1 3 1
2 3 3
2 2 3
3 1 3
10 7
2 0 0
1 2 0
1 1 2
2 2 0
1 2 1
1 1 0
0 2 0
2 0 2
0 2 2
0 2 1
10 6
2 3 1
1 1 2
3 0 3
1 3 0
2 0 2
0 0 2
3 0 2
1 3 1
1 3 2
0 1 0
10 6
2 1 1
2 2 0
2 2 2
1 2 2
2 0 0
1 1 0
1 0 0
1 2 1
1 1 2
2 0 2
10 3
1 1 1
1 2 0
0 2 1
0 1 1
2 0 1
1 2 1
1 1 2
2 2 1
0 0 2
0 0 0
10 2
2 3 0
0 1 3
0 0 1
1 0 2
3 0 0
0 1 0
3 3 3
2 2 2
3 1 2
2 0 3
10 3
1 2 1
2 0 1
1 1 0
1 0 1
2 1 1
2 2 2
1 1 1
0 2 0
1 0 0
2 1 2
10 9
1 2 0
2 0 2
1 1 1
2 0 1
1 2 1
1 0 2
2 2 2
2 0 0
0 1 1
1 1 0
10 6
1 1 3
2 2 3
0 1 0
2 0 3
2 3 2
2 3 0
3 2 1
1 0 2
1 3 3
3 1 2
10 5
2 0 2
2 2 1
0 0 0
0 1 2
2 2 2
1 2 0
0 2 2
1 0 1
1 0 2
0 1 0
10 2
1 2 1
2 2 2
2 1 2
2 0 2
0 2 1
2 1 0
1 1 0
0 0 0
1 2 0
0 1 2
10 7
0 3 2
3 2 1
0 1 3
0 0 1
1 0 0
3 0 0
1 1 2
0 0 3
0 1 2
3 2 3
10 4
0 2 1
1 0 0
0 1 2
0 0 0
0 1 0
0 2 2
1 2 2
2 0 1
2 1 2
1 0 2
10 4
1 0 1
0 2 0
0 1 1
2 1 0
2 0 2
0 2 2
0 1 0
1 1 0
0 0 0
1 2 2
10 4
0 0 1
2 1 2
0 0 0
2 2 0
1 0 0
1 1 2
0 1 1
2 0 2
0 2 2
1 0 2
10 6
0 3 3
0 3 2
1 1 3
2 3 3
2 2 1
0 0 2
1 2 1
0 2 3
2 1 1
2 3 2
10 8
2 2 1
0 1 1
2 2 2
0 0 0
1 0 1
2 0 1
1 2 0
0 0 1
2 2 0
2 1 2
10 2
0 2 2
1 1 2
0 0 2
2 2 2
2 0 2
2 1 2
1 0 2
2 2 0
2 0 0
1 0 0
10 8
2 2 1
0 0 1
1 1 0
2 1 0
2 0 2
0 2 0
1 2 2
2 0 0
2 2 2
0 2 2
10 2
0 1 0
2 2 1
1 1 0
0 1 1
2 0 1
1 0 0
1 1 2
2 1 0
2 0 0
1 2 0
10 9
1 1 0
0 1 1
1 2 2
2 2 1
2 1 0
1 0 1
2 1 1
0 1 0
0 2 1
0 0 1
10 7
2 0 0
1 2 0
2 1 2
1 0 0
3 0 1
3 3 3
0 1 0
1 1 3
0 3 2
1 3 0
10 5
3 3 1
0 2 1
2 2 3
0 2 2
0 0 1
1 3 1
2 1 2
1 1 0
1 2 3
0 1 1
10 3
1 0 2
1 1 0
3 3 1
3 1 1
1 1 2
3 3 0
0 0 3
2 1 1
2 1 3
3 3 3
10 8
2 2 0
0 0 1
2 2 3
0 3 3
1 0 3
3 2 3
1 0 2
0 0 3
1 2 3
1 1 2
10 9
0 2 2
1 1 0
2 0 2
3 3 3
3 2 3
2 3 1
1 2 2
2 1 1
0 0 2
3 1 3
10 3
0 0 3
0 0 2
3 0 1
3 1 3
1 1 2
3 0 0
1 2 3
3 3 1
3 3 3
1 0 2
10 6
0 1 0
1 1 2
0 0 0
0 1 1
1 0 1
2 2 1
1 0 2
1 1 1
0 1 2
2 1 1
10 7
2 1 0
1 1 0
1 2 2
0 1 1
0 2 0
0 2 2
1 2 1
2 2 1
2 1 2
0 0 0
10 5
3 1 3
1 2 2
1 0 1
0 1 3
1 1 0
3 1 0
3 2 2
0 0 2
1 2 1
3 3 1
10 9
3 3 2
2 3 1
1 0 0
0 0 0
3 1 3
0 1 2
0 3 3
1 2 0
3 0 2
2 3 2
10 5
2 1 2
1 2 0
0 2 1
1 0 1
0 1 2
0 2 2
2 2 2
2 2 1
0 0 2
0 0 1
10 4
0 1 1
2 0 2
1 0 0
3 1 1
0 1 2
3 0 2
3 2 1
0 0 1
1 1 1
3 0 0
10 4
2 0 0
2 2 2
2 1 2
1 1 0
2 2 1
0 1 1
1 0 1
0 1 0
1 1 2
1 0 0
10 3
2 0 2
0 0 0
2 2 1
2 0 0
0 2 0
0 0 1
1 1 0
1 2 0
0 0 2
2 1 0
10 8
2 0 2
0 2 2
2 2 2
0 2 1
2 0 1
1 1 2
0 2 0
1 2 2
1 0 2
2 0 0
10 4
0 2 0
0 1 2
0 0 2
2 2 2
0 2 1
1 2 2
2 0 2
1 2 0
1 2 1
2 0 1
10 4
1 0 1
0 2 0
0 2 1
3 1 2
1 1 1
3 1 3
2 3 3
1 1 0
2 0 0
2 2 3
10 4
1 1 1
0 0 1
1 1 2
0 1 1
1 2 1
2 0 1
0 0 2
2 0 0
1 0 0
1 0 1
10 7
0 2 2
1 2 0
2 0 2
2 1 1
1 0 2
1 2 2
2 2 1
1 2 1
2 2 0
0 0 2
10 7
2 1 1
2 0 2
1 0 2
2 2 1
0 0 1
1 0 0
0 1 1
0 0 0
0 1 2
2 2 2
10 6
3 0 0
3 0 2
2 3 0
2 0 1
3 3 0
0 1 2
0 1 0
1 1 3
2 1 2
2 3 2
10 4
2 2 2
3 1 0
2 1 3
0 3 3
3 0 0
1 1 0
1 2 2
2 1 2
1 1 2
3 2 3
10 9
0 1 1
0 0 1
0 0 0
1 2 0
1 0 0
1 1 2
1 0 2
1 1 1
0 2 2
0 1 2
10 9
0 3 0
1 0 3
1 2 1
3 2 0
1 2 2
1 0 1
2 1 2
2 0 2
3 2 2
2 3 2
10 6
2 0 0
3 1 0
3 3 1
3 2 2
1 2 0
1 2 2
2 2 0
2 1 1
1 0 2
1 1 2
10 2
1 0 0
1 2 0
3 2 0
0 0 1
2 3 2
2 3 0
3 3 3
2 0 1
0 1 1
3 1 2
10 9
0 0 0
1 1 1
0 1 1
2 0 2
1 0 0
0 2 2
0 1 2
0 2 1
1 2 0
2 2 0
10 4
0 3 2
0 2 1
0 0 1
0 0 0
2 1 0
2 2 3
1 0 0
3 0 3
1 2 3
3 1 1
10 9
0 1 1
1 1 1
2 1 0
0 0 1
2 1 2
2 2 2
2 0 2
1 1 0
2 0 1
0 1 0
10 7
2 2 1
1 2 2
1 1 1
0 2 2
2 0 0
0 1 2
0 0 1
1 1 2
1 0 1
0 2 0
10 7
2 0 3
0 3 3
2 2 2
0 2 0
2 3 2
0 0 0
1 3 3
1 2 1
0 2 3
3 2 3
10 4
2 2 1
0 2 2
1 2 0
1 2 1
0 1 2
1 0 2
1 0 0
2 0 1
1 1 2
1 0 1
10 9
1 1 0
2 0 1
1 2 3
1 3 2
3 1 3
1 1 1
1 3 1
3 0 2
2 0 2
0 1 2
10 6
2 3 3
0 0 0
0 0 2
1 3 3
0 1 2
2 3 0
3 0 3
1 0 0
0 1 0
1 2 0
10 5
2 0 3
3 0 1
0 2 1
0 0 1
3 0 3
2 3 1
0 0 3
2 2 1
2 2 0
3 0 2
10 7
2 0 0
0 2 0
0 1 2
2 1 1
1 0 2
0 2 1
1 0 0
2 2 2
1 2 2
0 0 1
10 6
2 2 1
0 0 1
1 0 1
2 1 0
1 2 2
1 1 2
2 1 1
0 2 0
0 2 1
2 0 0
10 3
0 1 2
1 2 0
0 2 1
3 3 2
0 3 0
3 3 1
1 1 2
0 0 3
1 1 3
3 1 0
10 8
0 0 1
1 2 2
0 1 1
2 0 1
1 2 1
2 1 1
0 2 0
2 2 1
1 2 0
2 2 2
10 4
2 3 2
0 1 0
1 1 1
1 2 1
1 0 1
3 0 3
2 0 3
0 3 2
3 3 1
0 0 0
10 7
0 1 0
1 2 1
1 0 0
2 1 2
1 1 2
0 1 2
1 2 0
2 2 0
0 2 0
0 2 2
10 7
1 0 1
0 1 0
2 0 0
0 1 2
1 1 1
1 2 1
1 1 2
1 2 2
0 1 1
0 2 1
10 5
2 1 2
2 0 0
0 0 2
3 2 2
3 1 3
0 3 1
1 1 3
0 0 0
1 1 1
0 1 0
10 6
2 3 1
0 0 1
0 3 3
2 0 2
3 0 1
2 2 2
3 3 3
0 0 2
2 1 1
1 3 2
10 8
2 0 2
0 1 1
2 2 0
2 1 1
1 1 0
0 2 2
0 2 1
1 0 0
0 2 0
1 2 2
10 8
2 0 1
0 1 0
2 1 2
1 0 2
1 2 1
0 0 0
2 1 1
0 2 2
1 0 0
0 1 1
10 4
1 2 0
2 1 2
0 1 1
1 0 1
0 0 1
2 2 0
2 0 0
0 1 2
2 2 2
1 0 0
10 4
2 3 2
0 1 3
2 2 3
3 3 1
2 3 3
0 2 1
2 1 3
1 0 2
2 2 2
0 1 1
10 4
3 2 1
0 3 3
2 2 2
3 2 3
1 3 1
2 2 3
3 3 0
1 0 2
0 0 3
0 1 1
10 6
2 0 2
1 0 2
0 0 1
0 2 0
1 1 0
2 0 0
1 2 1
2 2 1
2 2 0
0 2 1
10 8
2 0 0
1 2 3
0 0 1
2 2 1
1 2 1
0 2 1
3 0 2
0 3 3
3 0 0
2 1 3
10 9
0 3 3
0 0 0
2 1 2
3 2 3
3 1 2
3 0 1
1 3 1
1 3 3
1 1 0
3 0 2
10 3
0 0 0
2 2 1
2 0 0
0 0 1
0 1 1
1 0 1
2 0 1
1 0 2
0 2 1
0 1 2
10 7
2 2 1
0 2 2
2 0 2
0 1 0
0 1 2
0 2 1
1 1 1
2 2 0
0 0 0
2 2 2
10 5
2 1 3
1 3 2
0 0 2
0 2 0
3 1 2
3 2 0
2 3 1
0 3 0
0 1 3
0 1 2
10 7
2 2 0
0 0 2
2 1 2
0 1 1
1 2 0
0 2 1
1 0 2
2 0 0
0 0 0
2 2 1
10 3
0 2 1
2 3 1
2 0 3
2 2 2
2 2 0
3 1 2
1 1 2
0 3 1
1 0 1
0 0 2
10 6
2 0 2
1 2 0
1 1 2
1 0 2
0 2 2
0 2 1
0 0 0
1 2 2
2 1 1
0 0 2
10 2
0 0 2
1 2 0
2 0 1
0 1 0
0 0 1
0 2 2
1 1 0
2 2 1
2 0 0
1 1 2
10 8
2 0 0
0 1 1
1 2 2
2 1 1
1 1 0
1 0 0
0 2 1
1 2 0
1 1 1
2 1 2
10 6
2 3 3
1 3 1
3 3 2
3 2 3
2 2 3
1 0 2
0 2 2
0 0 1
3 2 1
2 1 2
10 5
1 1 1
0 2 2
2 2 0
2 0 0
2 2 2
0 2 1
2 0 1
2 1 0
1 2 0
1 0 0
10 4
1 3 1
0 0 2
3 3 1
2 3 0
3 2 1
3 0 2
2 2 1
2 0 3
3 3 3
1 2 2
10 9
1 3 2
1 2 0
3 2 2
1 3 3
0 2 1
3 3 3
0 2 0
3 0 3
0 3 3
0 1 2
10 8
1 3 0
3 0 3
0 0 0
0 3 1
3 0 2
3 1 1
2 1 2
0 3 0
3 1 2
0 2 2
10 3
3 3 0
1 0 0
0 1 2
1 3 0
2 3 3
2 1 2
1 2 0
3 0 0
2 0 1
0 1 1
10 9
2 0 2
1 0 2
1 1 0
1 2 2
2 2 0
0 0 1
2 2 1
1 2 0
1 1 1
1 1 2
10 4
2 0 1
1 0 0
1 0 2
1 1 0
2 1 1
1 1 2
2 2 0
1 0 1
0 2 2
2 1 2
10 6
0 3 2
3 0 3
0 0 0
2 3 3
2 3 0
2 0 3
0 3 1
2 1 3
2 3 2
3 3 2
10 9
1 1 0
2 1 1
2 0 3
2 1 2
0 3 0
1 3 3
0 1 0
2 3 3
3 3 0
3 1 3
10 2
2 0 2
0 2 0
1 0 1
2 2 0
1 2 0
0 0 2
1 0 0
1 1 2
1 2 1
1 0 2
10 2
0 2 0
2 0 3
1 2 0
1 1 3
1 0 3
2 1 1
1 0 0
3 2 3
3 2 2
1 0 2
10 6
1 3 2
2 0 3
1 1 3
3 1 2
0 1 0
2 1 0
2 1 2
3 0 2
0 3 2
1 0 1
10 6
2 1 0
1 2 0
0 2 2
1 1 0
1 0 1
1 2 1
2 2 1
1 1 2
0 1 2
2 1 1
10 9
1 0 1
1 1 2
1 2 2
0 1 0
0 1 1
2 2 1
0 0 0
1 2 0
1 1 1
0 2 0
10 3
2 2 1
0 2 2
2 2 2
1 0 2
0 2 0
1 0 0
1 2 0
2 0 1
2 1 0
0 1 2
10 3
0 1 2
2 2 0
1 2 0
2 2 1
1 1 2
1 0 0
0 2 1
0 2 0
0 1 0
1 2 1
10 4
0 0 0
1 2 1
2 1 1
0 1 2
1 1 1
0 2 1
1 2 0
1 0 0
0 2 0
2 1 0
10 4
3 1 0
1 0 1
3 3 2
0 1 3
1 0 0
3 3 1
3 1 1
1 1 0
3 0 1
2 3 3
10 7
2 2 2
1 2 1
2 1 2
1 2 2
1 0 2
0 1 2
2 0 2
2 2 0
2 1 0
0 1 1
10 2
1 0 1
3 1 3
3 1 0
3 1 2
3 3 0
3 2 0
2 2 1
1 3 3
3 0 3
2 1 3
10 5
2 0 0
2 1 1
0 2 2
0 3 0
1 3 1
1 3 3
0 2 0
0 3 3
3 1 2
1 0 1
10 4
1 1 0
0 0 2
1 1 1
2 0 2
2 2 2
0 1 1
2 1 0
0 0 1
2 1 1
2 2 0
10 5
2 1 2
1 2 2
0 2 3
1 0 0
3 2 1
2 1 1
2 2 0
1 3 0
3 3 1
1 3 2
10 2
2 2 2
2 1 1
0 2 2
1 2 2
1 0 1
1 1 0
0 0 0
0 0 1
0 2 0
1 2 1
10 9
2 3 3
2 1 2
1 1 3
0 2 3
2 0 1
2 0 3
3 2 0
0 2 0
2 3 2
1 1 1
10 7
0 1 1
1 0 1
2 2 2
2 1 2
2 2 0
1 0 0
1 1 1
2 0 1
2 0 2
0 1 2
10 6
2 0 1
0 1 0
0 0 2
2 2 2
0 2 0
0 0 0
1 1 2
1 2 1
1 1 0
0 1 1
10 3
2 1 1
1 0 2
0 1 0
0 2 0
1 0 1
1 2 1
0 1 1
2 0 0
1 1 0
1 1 2
10 5
1 2 2
2 2 0
1 1 1
1 1 0
2 1 2
0 0 2
1 1 2
1 0 0
0 0 1
2 0 0
10 8
0 1 1
2 1 0
2 0 0
0 1 2
0 1 0
1 2 0
0 0 1
1 0 1
2 0 2
1 1 1
10 8
2 0 1
1 0 1
1 0 0
1 2 1
2 0 2
1 1 1
2 2 2
2 1 1
0 1 2
1 2 2
10 8
3 0 3
0 0 3
3 3 1
0 0 0
2 1 0
2 3 2
3 2 2
1 3 3
0 2 0
0 2 2
10 2
1 2 0
2 0 2
0 2 2
2 2 2
1 1 2
0 1 2
1 0 0
1 0 1
0 2 0
1 0 2
10 5
0 0 2
1 2 0
3 2 1
2 2 0
1 0 1
3 1 1
1 3 2
3 3 0
2 0 3
0 1 1
10 4
1 3 2
1 3 3
2 3 1
1 0 3
2 0 1
2 2 0
0 0 0
0 2 2
1 3 1
1 1 1
10 3
0 0 2
0 3 1
0 2 1
2 0 3
2 3 1
1 2 1
1 3 1
1 0 3
1 2 2
3 1 2
10 9
0 2 3
1 1 2
1 0 1
0 1 2
1 2 3
1 0 2
2 3 1
2 3 2
0 2 1
1 3 0
10 6
0 1 1
0 0 0
2 0 1
2 1 1
1 1 0
1 2 0
1 0 1
0 0 1
2 2 2
1 2 2
10 9
0 1 2
1 0 0
2 0 1
0 2 3
3 0 0
1 3 1
3 2 2
0 3 3
0 1 3
0 2 1
10 2
3 3 2
2 3 3
1 0 0
2 2 2
1 0 1
1 2 3
0 1 1
1 3 1
1 2 1
0 0 3
10 8
3 0 1
2 3 1
0 1 0
3 0 0
3 1 2
3 3 2
0 3 0
1 0 1
2 1 0
0 2 0
10 4
1 1 0
0 2 1
1 1 2
2 1 2
1 1 1
1 2 0
0 2 2
0 1 0
2 2 2
0 0 0
10 7
1 0 3
3 2 0
1 0 1
3 3 3
2 1 1
3 1 0
1 2 3
0 0 0
1 2 0
3 2 1
10 7
0 0 1
1 0 1
0 2 2
0 1 1
2 0 2
2 0 1
0 0 0
2 2 2
0 0 2
2 0 0
10 7
1 0 1
1 0 2
1 2 2
2 1 2
1 1 0
2 1 1
2 2 0
2 0 0
1 2 0
0 0 0
10 9
0 3 0
3 1 3
1 3 1
0 1 2
0 3 1
0 1 1
0 2 1
3 1 2
3 1 0
3 0 3
10 4
2 1 0
0 2 1
2 2 0
1 2 2
0 0 1
1 1 0
1 1 1
1 1 2
0 1 2
2 1 2
10 3
0 1 2
1 1 2
0 1 0
1 0 1
0 1 1
0 2 2
0 0 2
2 2 0
1 0 0
1 1 1
10 3
3 0 1
2 1 3
2 3 2
1 1 0
1 2 1
3 2 0
3 2 1
1 2 3
2 0 3
0 2 1
10 9
1 0 3
0 3 1
2 3 0
1 1 2
3 3 2
2 1 0
3 0 0
2 3 1
0 0 3
2 3 2
10 5
2 1 3
1 2 1
2 3 3
1 3 2
3 2 1
1 3 1
3 0 3
1 3 3
0 1 3
2 0 0
10 6
3 1 1
2 1 3
1 1 3
1 3 2
0 1 0
0 2 0
1 1 2
3 0 2
3 1 2
0 0 1
10 5
1 2 0
1 2 1
2 0 2
2 1 2
2 0 1
0 0 1
1 2 2
1 1 2
0 1 1
1 1 0
10 2
0 0 0
1 2 1
1 1 2
2 1 2
1 1 0
2 2 1
2 0 0
0 2 1
1 0 0
1 0 1
10 3
3 3 3
2 2 2
3 0 2
0 1 0
2 3 0
3 2 0
0 0 2
1 0 1
2 0 0
1 2 0
10 7
0 1 1
2 1 2
1 1 1
0 2 1
1 2 1
1 2 2
1 0 0
2 2 1
0 2 2
0 1 0
10 4
2 3 3
1 3 2
0 3 2
3 1 2
2 1 2
0 3 3
2 1 3
3 3 2
3 2 3
2 0 1
10 5
2 2 1
0 1 2
1 2 1
2 1 2
0 0 0
2 1 0
1 0 0
0 2 0
2 0 2
1 1 2
10 4
1 1 2
0 1 1
2 2 2
1 0 2
2 2 0
2 0 0
1 2 0
1 1 1
0 0 0
2 2 1
10 9
2 1 2
1 2 2
2 2 0
1 0 2
2 2 2
2 0 2
0 1 1
0 1 0
2 2 1
1 0 1
10 6
0 1 2
1 0 1
0 0 0
0 0 2
1 2 1
2 2 2
1 0 2
1 1 2
0 0 1
2 2 0
10 7
0 2 1
3 2 0
2 1 2
1 0 3
0 2 2
3 1 3
2 2 1
1 2 2
2 0 3
1 2 0
10 7
0 1 0
0 3 3
3 1 1
1 2 0
2 0 3
3 0 3
1 3 3
0 1 3
0 0 1
1 3 2
10 6
1 1 2
0 1 1
2 0 2
2 1 1
2 0 0
1 0 1
1 0 2
2 1 0
1 2 1
2 2 0
10 3
0 0 3
0 3 2
0 0 0
3 1 1
2 0 1
2 1 1
0 0 2
2 3 0
0 1 1
1 2 3
10 8
2 1 1
0 2 0
0 2 1
1 2 1
0 1 2
2 2 0
2 2 1
1 1 0
0 2 2
0 1 0
10 5
2 1 1
1 2 0
1 0 1
1 1 0
2 1 0
0 2 2
0 2 0
2 1 2
1 0 0
1 1 1
10 7
2 1 2
0 1 2
1 0 2
2 0 0
1 0 0
0 2 1
1 2 0
1 0 1
0 2 0
1 1 2
10 5
2 2 3
3 0 1
1 0 0
1 1 1
1 3 2
1 2 0
0 0 1
1 3 3
3 0 3
0 0 3
10 4
0 2 2
1 0 1
0 0 1
1 2 2
1 2 0
2 2 1
0 0 2
2 2 2
1 0 0
2 1 0
10 9
3 0 0
2 0 2
3 3 1
1 3 0
2 3 3
1 0 2
1 1 1
3 1 0
3 1 2
3 2 0
10 8
0 2 2
2 2 3
0 0 2
3 1 2
1 3 3
2 2 2
0 2 3
2 1 0
1 1 2
3 2 2
10 2
1 1 0
2 1 1
0 0 1
1 2 2
1 1 2
1 1 1
2 2 2
1 0 1
2 2 1
0 2 2
10 9
1 0 2
1 0 1
0 1 0
1 1 2
2 1 1
0 1 1
0 0 2
2 0 0
2 1 0
2 2 2
10 3
2 2 1
1 1 1
1 2 1
1 1 0
1 1 2
2 1 2
2 1 1
2 0 0
0 2 1
1 2 2
10 8
1 2 1
2 1 1
2 2 2
1 1 0
2 2 0
0 2 1
1 2 0
2 0 2
1 0 0
0 1 0
10 2
1 2 2
2 0 1
2 0 0
1 0 0
2 1 2
0 1 1
0 2 0
2 0 2
0 0 0
1 1 1
10 8
2 1 1
1 2 0
0 0 0
1 0 1
0 1 1
0 1 2
2 0 0
2 2 0
1 1 0
2 2 1
10 3
2 0 1
2 3 0
1 3 0
1 1 3
3 2 1
0 1 3
0 0 2
2 2 3
0 0 3
1 2 2
10 9
1 0 0
1 2 0
3 3 0
0 2 3
0 2 0
3 1 0
3 2 3
3 3 1
0 3 0
2 3 2
10 2
1 0 2
2 0 2
2 1 1
2 0 0
1 2 2
2 1 2
2 2 0
0 1 1
2 2 1
1 1 1
10 6
0 2 0
3 3 1
0 2 3
1 3 0
0 3 1
2 0 0
1 2 3
2 1 0
1 3 1
3 3 3
10 7
0 2 1
0 2 0
2 0 0
2 1 2
2 1 0
1 0 2
1 2 1
1 1 1
0 1 0
1 1 0
10 2
2 1 0
0 1 0
1 2 2
1 1 0
0 2 2
0 1 1
2 0 1
2 0 2
0 0 0
2 2 0
10 4
3 3 1
3 1 3
1 2 0
2 0 3
1 3 2
1 0 3
0 1 2
0 2 2
0 0 0
3 2 0
10 5
1 0 0
2 2 0
1 1 0
1 2 2
1 0 1
1 2 0
1 1 2
2 2 1
2 1 0
0 0 2
10 5
1 2 1
0 2 2
1 1 0
2 1 1
1 1 1
0 0 2
1 0 2
0 0 1
2 0 1
2 2 1
10 9
2 1 0
2 2 1
2 1 1
1 2 1
1 1 2
2 0 0
1 1 0
0 2 1
1 2 0
2 0 1
10 9
2 2 0
0 0 2
2 3 2
2 1 0
2 3 1
2 1 3
2 0 2
1 1 3
2 2 3
3 3 3
10 8
3 1 3
2 3 1
1 0 1
3 0 1
3 2 2
1 3 3
0 2 3
3 1 0
2 3 0
0 1 2
10 4
0 1 0
2 1 2
1 2 0
2 0 2
0 1 1
2 2 0
1 0 0
0 2 2
1 0 2
1 2 2
10 6
3 1 2
3 0 2
0 0 0
2 0 0
1 2 1
1 2 0
0 3 3
1 3 3
3 0 0
3 2 0
10 3
1 2 1
2 0 1
0 2 2
2 1 1
1 1 1
1 0 0
2 2 1
1 0 1
1 1 2
1 2 0
10 9
2 2 1
1 0 1
2 2 0
0 2 0
2 2 2
0 0 1
1 2 0
1 1 0
2 1 2
1 2 1
10 8
1 2 0
1 1 1
0 0 2
2 0 1
2 2 1
0 2 0
0 2 2
2 1 0
1 1 2
2 0 2
10 8
1 2 1
1 2 2
0 1 2
0 2 1
1 1 1
1 1 0
0 1 1
0 2 2
1 0 2
2 1 1
10 6
1 1 2
1 2 0
1 2 1
1 1 1
0 1 2
2 1 0
0 2 0
0 0 0
2 2 1
1 1 0
10 7
2 1 2
0 2 0
1 0 2
2 0 0
1 1 2
0 0 0
1 2 1
1 1 1
1 0 0
0 2 2
10 2
1 2 1
2 1 0
1 1 0
0 0 1
0 1 2
1 0 2
0 0 2
2 1 2
1 2 0
1 0 0
10 9
3 3 1
1 3 0
0 2 1
2 0 2
2 1 0
2 1 1
1 1 1
3 1 1
0 2 0
3 1 0
10 6
1 2 2
2 1 2
2 0 2
1 1 2
0 0 1
2 1 1
2 2 0
2 0 0
1 1 1
0 1 0
10 8
0 1 2
2 2 0
0 2 0
2 1 2
0 2 1
1 0 1
2 1 1
0 0 0
1 2 2
2 0 0
10 6
2 1 1
2 1 0
2 3 2
1 3 1
3 1 2
1 1 2
1 3 0
1 2 1
1 1 1
3 3 2
10 6
2 0 1
1 0 2
1 2 0
2 0 2
0 2 1
1 1 0
0 2 0
2 2 2
0 1 0
2 1 2
10 6
0 1 2
2 2 1
0 0 2
0 1 1
1 2 2
0 2 1
2 2 2
1 2 1
2 0 2
1 0 0
10 7
0 0 1
0 2 2
0 0 2
1 0 0
1 1 0
2 0 1
0 1 0
2 0 2
1 2 2
1 2 1
10 4
1 0 3
1 2 1
0 1 3
1 3 1
1 0 0
1 2 2
0 3 2
3 1 3
1 1 0
2 2 2
10 3
2 2 2
0 1 2
0 2 1
0 1 1
2 1 2
0 0 2
1 0 0
1 2 0
0 2 2
1 1 1
10 5
2 2 1
2 2 2
2 1 1
2 0 0
0 0 2
1 0 2
0 0 0
1 1 2
1 0 1
1 2 1
10 6
0 1 0
2 0 0
1 2 1
0 2 0
2 1 1
1 0 0
0 0 2
1 2 2
1 1 2
0 0 0
10 4
0 1 3
1 1 1
2 3 1
1 0 1
1 1 2
3 1 1
0 0 0
3 0 0
1 1 3
0 0 2
10 2
0 0 1
3 0 3
2 3 1
3 2 0
0 3 0
0 2 3
2 3 2
2 1 0
0 3 3
1 0 1
10 4
1 0 2
0 2 2
0 1 2
0 1 0
1 0 0
2 0 1
1 0 1
1 1 1
1 2 2
1 1 0
10 3
1 1 1
2 0 2
3 3 2
3 0 1
0 3 2
0 1 0
3 3 0
0 1 1
0 2 2
1 2 3
10 7
0 1 2
0 0 0
2 0 1
0 2 2
1 0 0
2 0 2
2 1 0
2 1 2
0 0 1
1 0 2
10 6
3 2 3
1 2 0
3 2 2
0 3 3
3 0 1
1 2 1
2 1 3
1 0 1
2 3 1
2 0 1
10 8
3 0 0
3 2 1
0 3 0
0 1 1
3 3 1
2 3 1
1 1 1
1 2 0
1 3 0
3 1 1
10 9
1 1 2
1 2 1
2 0 2
0 0 0
2 1 2
2 0 0
2 2 2
0 1 2
2 2 0
2 1 1
10 4
3 3 0
3 3 3
1 0 2
2 3 3
3 0 3
1 2 1
3 2 3
0 1 1
2 3 1
0 2 3
10 9
0 1 0
1 1 3
1 3 3
0 0 0
0 3 0
0 3 3
1 0 1
3 3 3
1 1 1
1 0 2
10 2
0 1 2
1 0 1
1 1 0
1 2 2
1 2 0
0 2 2
1 0 0
2 0 1
2 1 2
0 2 0
10 2
1 2 3
1 1 3
2 2 2
0 3 3
1 0 3
2 1 0
3 2 1
2 3 3
2 0 2
1 2 2
10 5
1 1 0
0 1 0
0 2 2
0 0 2
2 1 0
1 1 1
0 1 2
1 0 0
2 2 1
1 0 1
10 4
1 1 2
3 0 3
3 2 1
3 3 2
3 1 2
0 0 1
3 2 3
2 0 1
0 1 0
1 2 1
10 9
1 0 0
2 0 0
0 0 2
0 1 0
1 3 1
1 3 2
1 1 3
1 2 2
1 0 2
1 2 3
10 9
0 0 2
0 3 2
3 0 0
2 0 3
1 1 2
0 1 3
2 1 2
0 0 1
1 2 1
3 3 1
10 2
0 1 1
2 1 1
2 1 0
1 2 1
2 0 0
1 1 1
0 2 0
1 2 2
1 1 2
0 2 2
10 9
1 0 1
0 0 2
1 1 1
0 0 1
2 0 2
2 0 0
0 1 1
2 0 1
0 1 2
0 0 0
10 2
3 2 1
1 0 2
2 2 2
2 2 0
3 0 0
1 1 1
1 1 0
3 2 0
0 0 0
3 3 2
10 8
1 0 0
2 0 2
2 2 1
0 0 1
3 1 3
0 1 3
0 2 1
1 3 1
3 1 0
1 1 3
10 4
1 2 2
2 2 1
2 0 0
2 1 2
0 2 1
1 1 0
1 0 2
0 2 2
1 2 0
2 1 1
10 9
2 1 2
0 0 1
1 2 2
1 0 0
1 1 2
0 1 0
1 1 0
0 2 0
2 0 2
0 1 1
10 7
2 1 1
1 0 1
0 2 1
0 2 2
1 1 0
0 1 0
1 2 0
2 2 0
1 2 1
2 1 2
10 5
3 3 1
0 2 3
2 1 1
1 2 1
1 3 2
0 3 1
3 0 2
3 3 0
3 0 1
0 0 2
10 5
1 1 1
1 1 2
1 0 2
1 0 1
0 1 1
1 2 1
0 0 2
2 0 2
0 0 0
1 2 0
10 8
0 0 3
2 1 2
1 1 3
1 0 3
3 1 0
2 1 3
3 2 0
1 2 1
2 0 1
0 2 2
10 7
0 0 3
1 1 2
1 2 1
3 3 3
3 1 2
1 0 1
2 2 3
1 3 0
0 1 3
3 3 0
10 5
0 0 0
2 1 2
1 0 0
0 0 3
3 0 3
0 2 0
0 1 2
2 2 0
2 3 0
3 3 1
10 8
2 0 1
1 0 0
2 1 1
2 1 2
1 2 1
1 0 1
2 2 1
2 2 2
1 2 2
0 2 2
10 7
1 1 1
3 0 0
1 0 0
2 0 0
1 3 2
1 2 2
2 3 1
0 3 3
3 0 1
1 3 1
10 3
0 3 2
2 0 3
2 1 3
0 3 3
1 1 0
1 0 1
3 3 1
0 0 0
0 2 0
2 2 2
10 4
0 2 2
2 0 1
2 2 0
1 0 2
1 1 1
1 2 2
1 0 0
2 1 0
0 1 2
1 2 0
10 5
2 2 3
2 3 0
3 2 2
3 1 3
2 1 2
0 3 0
3 2 0
3 1 2
1 1 1
1 2 1
10 9
1 0 0
3 1 0
3 0 0
1 0 2
2 1 3
3 1 2
1 2 1
0 2 1
2 3 1
1 0 3
10 3
0 0 2
2 2 0
0 2 0
1 0 2
0 0 0
2 2 1
1 1 2
1 1 0
2 1 2
0 1 0
10 2
2 0 0
0 0 1
0 1 1
2 2 1
0 2 1
1 2 1
0 1 2
2 2 0
1 1 1
1 2 2
10 5
1 1 0
0 2 2
0 0 2
2 0 1
2 2 2
0 1 0
2 0 0
0 0 1
0 1 2
0 0 0
10 9
0 1 0
1 1 2
2 0 1
0 1 3
1 1 3
2 2 1
3 0 0
2 3 3
1 2 2
2 3 1
10 2
2 3 2
2 1 2
0 2 2
3 2 0
3 1 0
3 3 0
3 1 3
1 0 0
0 1 2
0 0 1
10 4
2 3 2
3 2 0
1 2 0
2 0 1
0 2 3
2 2 1
0 3 3
2 2 0
0 1 0
1 0 0
10 4
2 2 1
2 0 2
2 2 2
0 2 0
0 1 0
2 1 2
2 2 0
1 0 2
2 0 0
2 0 1
10 7
2 0 0
1 2 2
2 1 1
0 2 2
0 1 1
1 0 1
2 0 1
0 0 2
1 2 1
1 0 0
10 4
2 0 1
2 0 0
1 0 2
2 1 2
1 2 1
0 1 1
1 0 0
1 1 0
1 0 1
1 2 0
10 9
1 1 0
0 0 0
2 2 0
1 0 1
0 2 0
0 1 1
1 1 2
0 0 1
1 0 0
1 2 0
10 8
2 2 0
2 0 0
0 2 0
2 1 0
1 0 0
1 2 1
1 2 0
1 0 1
0 0 1
0 0 0
10 8
2 2 0
0 1 2
1 0 1
0 2 1
0 1 0
0 0 2
1 2 2
1 2 1
1 0 2
2 1 2
10 6
2 1 0
3 2 2
2 0 3
2 3 1
2 3 2
3 1 3
0 0 1
1 2 1
1 0 3
3 3 2
10 7
1 1 2
0 2 0
1 2 2
2 2 0
2 0 0
0 1 1
2 0 1
1 1 0
1 0 1
2 2 2
10 4
2 1 2
0 2 1
0 0 0
2 2 0
1 1 0
1 0 0
0 1 2
2 1 0
2 2 2
0 1 1
10 7
1 0 1
0 2 2
2 1 0
0 0 2
0 2 0
0 1 2
1 1 1
1 0 0
1 2 1
0 1 0
10 2
1 2 3
0 2 3
2 1 2
2 3 1
2 1 1
0 0 0
1 2 0
0 2 2
0 3 0
1 3 1
10 9
0 1 2
1 2 1
0 1 0
0 2 0
2 1 2
1 2 0
0 1 1
2 0 2
2 0 1
0 2 1
10 2
3 3 1
0 3 0
1 0 1
1 2 1
2 3 2
3 0 2
1 0 0
1 1 0
3 3 0
3 0 0
10 3
0 3 3
3 1 1
2 2 1
1 2 2
2 1 1
1 1 1
2 2 3
1 2 3
3 2 3
1 3 1
10 2
0 2 0
1 0 2
0 0 1
2 0 1
2 1 2
2 1 0
2 2 0
1 2 1
1 2 2
1 2 0
10 7
1 1 2
1 0 2
0 2 1
0 1 1
0 0 0
0 0 1
1 2 2
0 0 2
2 1 2
1 2 0
10 4
2 0 0
3 3 2
0 1 0
2 1 2
2 3 2
3 0 1
1 2 2
2 0 3
1 3 0
0 3 1
10 2
2 2 0
3 3 0
1 0 3
2 0 1
1 3 1
2 1 0
0 1 0
3 1 3
2 0 2
0 0 2
10 9
1 2 1
1 0 2
1 0 0
2 0 1
2 2 2
2 2 1
1 2 0
0 2 0
0 2 1
0 1 1
10 2
0 1 2
2 1 0
1 2 0
1 1 0
0 2 1
2 0 0
1 2 1
1 1 1
2 2 1
1 2 2
10 7
2 1 0
1 0 1
0 1 2
1 0 2
0 2 0
2 0 2
2 2 2
1 2 0
0 1 1
0 0 2
10 3
1 2 2
2 1 2
0 1 2
2 1 1
2 1 0
0 1 0
1 1 1
0 2 1
0 0 0
1 2 1
10 7
0 0 2
0 1 2
0 0 1
2 0 2
0 2 2
0 2 1
1 1 0
2 1 1
1 2 1
1 2 0
10 3
1 1 1
1 3 3
3 0 2
1 3 1
3 2 3
3 0 0
3 1 3
3 3 3
2 0 0
2 2 1
10 6
0 1 3
1 0 3
3 0 2
2 0 3
0 0 2
0 3 3
2 2 0
1 2 1
1 1 3
1 2 3
10 3
0 2 0
0 3 0
1 0 3
1 2 2
2 3 2
3 0 1
3 3 0
3 1 3
3 2 2
2 2 0
10 4
0 0 1
1 2 0
2 2 1
2 0 0
1 1 0
2 1 1
0 1 1
2 2 0
0 1 2
1 0 0
10 6
0 0 0
3 0 2
3 3 3
1 2 0
1 3 1
2 1 3
0 0 2
2 0 3
1 0 2
1 1 3
10 3
0 2 2
2 1 3
2 2 3
0 3 2
1 1 0
0 3 3
2 1 2
3 3 2
1 3 3
1 3 1
10 7
1 0 0
2 1 2
0 1 1
2 2 0
1 1 2
1 0 1
1 0 2
2 0 1
2 1 1
1 1 1
10 8
2 2 1
0 0 0
1 0 3
2 3 0
3 0 1
0 1 1
1 2 1
1 2 3
1 2 0
0 3 3
10 7
0 2 1
1 0 1
1 2 1
0 2 2
1 1 2
2 1 0
1 0 2
2 0 2
0 0 0
2 2 0
10 2
2 0 2
0 3 1
3 3 3
2 0 0
1 1 3
1 2 2
0 2 2
0 0 0
0 0 1
3 2 1
10 8
2 0 0
2 0 2
2 0 1
1 2 2
1 1 0
0 1 1
1 0 1
0 0 1
0 0 2
2 2 1
10 7
3 0 0
3 2 1
1 0 2
1 3 1
3 0 2
3 1 0
2 1 0
3 2 2
2 0 1
1 1 0
10 4
1 3 1
2 2 2
2 0 1
3 1 0
2 3 0
0 0 2
2 3 3
3 0 1
2 0 0
2 3 2
10 2
1 0 0
0 0 1
2 0 1
1 0 1
1 1 0
2 1 1
2 0 2
1 2 2
2 1 0
0 2 0
10 3
2 1 0
3 2 1
0 2 0
2 3 0
3 1 1
1 0 3
1 1 2
0 3 3
3 2 2
1 2 2
10 9
2 3 3
0 2 2
0 2 1
2 0 2
0 0 2
2 1 2
0 3 2
1 2 3
0 0 0
0 2 3
10 3
0 2 3
2 3 0
0 3 0
0 2 2
1 1 0
2 3 3
2 3 2
0 1 3
1 1 3
0 0 2
10 3
2 0 1
1 1 1
2 0 0
2 0 2
0 2 0
2 2 1
0 1 2
2 2 0
1 2 1
2 1 0
10 6
3 0 3
2 2 3
3 3 3
0 2 3
2 2 1
1 2 3
2 1 0
1 0 1
1 2 2
1 1 2
10 7
2 2 0
2 0 2
2 1 1
2 1 2
0 1 1
2 2 1
0 0 0
1 2 0
1 0 2
0 0 2
10 6
1 2 0
1 3 3
2 2 1
1 2 2
3 1 0
0 3 1
2 0 3
1 3 2
3 2 2
0 2 1
10 3
2 3 0
1 2 3
0 2 2
3 0 2
0 0 2
3 2 1
2 2 2
1 2 1
1 0 2
1 2 0
10 4
3 1 1
1 3 3
1 1 0
1 0 3
3 0 0
0 1 3
0 3 0
0 3 2
3 2 0
2 2 0
10 4
2 2 3
1 1 0
1 2 1
2 0 1
3 2 3
1 2 3
2 3 2
1 1 3
1 2 2
2 1 0
10 9
2 2 3
3 1 0
3 3 3
1 1 0
0 3 1
3 3 0
1 0 3
2 3 2
1 3 2
0 3 2
10 8
1 0 3
3 3 0
3 2 3
3 0 2
1 1 3
1 3 3
1 2 2
3 2 2
3 3 3
2 2 1
10 8
3 0 3
0 2 3
2 3 1
3 2 3
1 0 0
3 0 0
3 3 2
3 3 1
3 0 1
1 1 1
10 6
2 3 3
1 3 2
2 3 2
0 3 1
1 0 0
0 3 3
2 2 2
0 2 3
1 1 0
3 1 2
10 5
2 0 2
2 0 1
1 1 0
0 0 1
0 1 2
0 1 1
2 0 0
2 2 1
1 2 0
1 0 1
10 2
0 2 2
1 1 0
2 1 0
3 1 2
0 0 3
3 2 3
0 3 0
0 0 2
2 3 3
3 3 0
10 4
0 0 2
0 1 1
1 2 1
2 2 2
1 0 1
0 2 0
0 1 2
2 0 0
2 1 1
1 0 2
10 2
2 0 3
0 3 3
3 3 3
1 2 3
2 3 3
1 3 0
2 2 3
1 0 3
0 3 0
1 3 2
10 4
2 2 0
0 3 3
1 2 0
2 2 2
1 3 0
3 1 2
0 0 3
3 1 0
0 1 1
2 3 2
10 7
2 1 2
1 0 0
0 2 1
0 0 0
0 1 2
1 1 0
1 1 2
1 2 0
2 1 0
2 0 0
10 5
1 2 2
1 2 0
1 1 1
2 2 0
2 1 2
2 2 2
1 0 2
0 1 1
2 2 1
1 0 1
10 2
2 2 1
1 2 1
2 0 1
2 2 2
0 0 1
0 1 1
2 0 0
0 0 0
1 2 0
2 1 2
10 2
0 3 3
3 1 1
3 3 3
3 0 1
2 1 3
1 3 0
0 0 0
0 0 3
3 0 0
2 3 1
10 7
1 3 3
3 1 2
0 3 2
2 1 2
2 2 1
1 3 0
3 1 1
1 1 0
0 0 1
0 1 2
10 9
1 1 2
1 2 2
1 0 0
2 1 0
2 1 2
1 0 2
2 0 1
0 2 1
0 0 2
2 2 0
10 9
1 1 2
0 1 1
2 2 1
3 3 2
2 0 3
0 0 1
2 0 1
3 3 3
1 1 1
3 0 0
10 8
1 1 1
0 1 0
0 0 1
1 1 2
2 2 1
1 0 2
2 1 2
0 0 2
1 2 1
2 2 2
10 5
2 0 1
1 1 1
2 1 1
2 2 2
0 0 2
1 0 2
0 2 1
0 1 1
1 0 0
2 1 2
10 3
2 1 1
1 2 0
1 2 2
0 1 0
1 1 0
1 0 2
1 1 2
2 0 2
2 1 2
0 2 2
10 9
0 1 0
2 0 1
1 2 1
0 2 2
3 0 1
1 2 0
1 1 1
0 3 3
2 1 1
0 3 2
10 6
0 1 2
2 1 2
1 1 3
2 2 2
0 3 3
2 2 3
3 1 1
1 2 2
1 3 1
2 0 3
10 4
2 1 0
2 0 2
2 0 1
2 3 3
0 3 1
1 0 3
2 3 2
2 1 3
2 1 2
2 3 1
10 4
1 2 3
1 3 0
3 0 2
0 3 1
0 0 3
1 3 3
1 1 1
1 2 0
2 1 2
0 0 0
10 4
2 1 0
1 1 2
1 1 0
1 2 1
1 1 1
2 2 0
2 2 2
1 2 0
0 2 2
2 2 1
10 7
1 1 0
0 0 0
0 1 1
1 1 2
2 2 2
0 2 1
1 2 0
2 2 1
2 0 1
1 2 1
10 5
2 2 3
3 1 1
2 3 2
1 0 2
1 1 1
1 1 0
2 3 0
1 3 1
3 1 2
1 1 2
10 3
0 2 1
1 0 2
1 3 0
3 1 1
2 3 0
2 1 0
1 0 0
2 2 3
3 3 2
3 2 1
10 7
1 3 0
0 0 1
3 0 2
2 1 0
0 1 0
1 0 2
3 2 3
3 0 1
2 1 2
3 1 3
10 9
1 3 2
3 0 1
3 0 0
3 2 2
1 2 0
3 2 3
0 0 3
3 0 3
3 2 0
2 3 1
10 7
3 0 0
2 0 0
0 2 1
2 2 2
3 1 0
2 0 1
2 3 3
1 0 0
0 1 1
3 3 2
10 5
1 1 1
1 0 2
1 2 1
2 1 1
0 0 1
2 2 0
0 0 2
2 2 1
0 2 1
2 1 0
10 3
3 3 3
1 0 3
2 3 2
3 2 1
1 0 0
3 0 3
3 0 0
3 3 0
0 2 1
1 1 3
10 5
2 1 3
0 3 0
1 2 0
1 2 3
3 3 3
3 3 2
0 2 3
3 3 1
2 0 2
1 0 2
10 7
2 1 0
1 3 2
0 2 3
3 3 2
3 1 2
1 2 1
1 3 1
0 0 1
1 0 2
0 1 0
10 2
1 1 0
1 1 1
2 1 0
1 1 2
2 1 2
1 0 1
2 2 0
1 2 2
0 0 0
2 0 0
10 9
0 0 1
0 0 2
2 2 3
3 0 1
2 1 2
3 0 0
2 3 2
1 3 0
3 3 2
1 3 1
10 5
1 2 3
2 1 0
2 0 0
0 0 1
1 1 2
3 2 1
3 3 2
0 0 0
0 0 2
1 3 1
10 5
1 1 0
2 3 1
2 1 0
3 1 1
3 0 0
1 3 2
3 1 2
2 0 1
1 1 1
3 2 3
10 3
1 2 2
2 2 0
2 1 0
1 2 1
0 1 0
0 2 2
2 0 0
1 1 1
0 1 1
1 1 2
10 7
3 0 1
3 2 3
2 0 3
3 3 2
2 2 3
2 3 0
0 0 0
1 2 1
0 2 2
3 3 3
10 9
2 2 1
0 1 1
1 0 0
2 0 1
1 1 0
1 1 1
0 1 0
0 0 0
2 0 0
2 2 2
10 4
2 2 1
1 2 2
1 0 2
1 2 0
1 1 1
2 0 0
1 2 1
0 1 0
0 0 0
2 1 2
10 5
1 2 0
0 2 0
0 1 1
0 3 0
3 3 3
3 2 3
2 2 1
3 0 3
3 1 1
3 0 0
10 4
2 2 2
2 0 1
1 2 2
2 2 1
2 2 0
0 1 2
0 2 0
0 1 1
1 1 1
2 1 0
10 8
1 0 1
3 0 1
2 1 1
1 2 0
0 1 1
1 1 1
2 2 2
0 2 3
1 2 1
3 2 2
10 5
3 1 2
2 2 0
3 0 3
3 2 3
1 3 2
3 1 1
1 3 0
1 0 0
0 0 0
1 2 1
10 7
3 0 2
0 2 3
0 3 3
1 3 3
3 3 3
0 3 0
1 1 1
2 0 2
2 0 1
1 0 2
10 6
2 2 1
1 2 1
1 2 2
0 0 0
2 0 0
2 2 0
2 1 0
2 1 1
2 1 2
2 2 2
10 8
1 2 1
1 0 0
2 1 0
0 1 1
2 1 1
0 2 2
1 2 2
2 2 1
1 0 1
1 0 2
10 4
0 3 1
3 1 2
3 2 1
3 3 1
1 2 2
3 1 1
1 3 1
0 1 0
3 1 3
1 1 1
10 2
0 1 2
1 2 0
2 2 2
0 2 2
2 0 0
1 2 1
1 0 1
1 0 0
2 2 1
2 0 1
10 5
1 0 1
2 1 0
2 1 2
2 2 1
0 1 0
0 0 0
0 1 1
1 1 2
0 1 2
2 2 0
10 4
2 3 2
1 2 2
3 3 0
1 3 2
1 3 1
3 1 3
1 1 3
0 0 2
0 2 2
2 3 1
10 7
1 1 2
1 0 1
2 2 0
1 2 2
1 2 1
2 1 0
0 0 0
2 0 2
0 2 2
0 1 0
10 3
1 0 0
1 1 3
2 1 3
1 0 2
2 2 1
3 3 2
1 1 2
2 0 1
3 2 2
2 0 0
10 2
1 2 2
0 0 2
1 0 3
1 3 1
0 3 3
2 2 1
0 3 2
3 0 0
0 1 3
2 1 0
10 3
3 3 1
3 0 3
1 3 3
0 0 3
3 1 2
3 3 3
0 3 2
1 0 2
1 0 3
2 2 0
10 3
1 1 0
0 2 2
0 1 1
2 1 0
0 0 0
2 1 2
0 0 1
1 2 1
0 2 0
1 2 2
10 4
0 1 0
2 1 0
0 1 2
1 2 1
2 2 0
2 0 0
1 2 0
1 0 2
2 2 2
0 2 0
10 4
1 0 2
0 1 2
1 0 3
2 2 3
3 0 0
2 3 3
0 1 0
1 1 0
1 0 1
0 2 0
10 6
2 0 3
0 2 3
3 2 3
2 3 0
3 0 1
1 1 2
1 0 0
1 1 1
0 0 2
2 2 1
10 6
3 1 3
3 1 0
1 1 2
3 1 2
3 3 3
3 3 0
3 0 2
0 3 3
1 3 1
1 2 1
10 6
0 0 0
2 0 2
2 1 1
0 1 0
2 0 1
2 1 0
0 0 2
0 2 0
2 1 2
1 2 1
10 9
3 2 3
2 0 3
0 0 0
2 0 2
3 3 3
1 1 0
1 2 2
2 3 2
0 3 2
0 1 3
10 6
2 0 1
1 1 0
3 1 1
2 0 3
0 0 3
0 3 0
3 0 2
1 0 0
1 3 1
1 0 2
10 4
1 2 1
2 0 1
0 0 1
1 2 0
0 0 2
1 1 2
2 0 0
2 1 1
2 2 0
1 2 2
10 4
2 0 2
0 1 2
2 2 2
0 2 2
0 1 1
2 1 1
1 1 2
0 2 0
2 2 0
1 2 0
10 4
0 1 1
1 0 2
2 1 1
1 2 0
0 0 0
1 1 2
2 0 0
0 1 0
2 2 2
1 2 1
10 8
1 0 0
0 1 0
1 1 0
1 2 0
0 2 1
2 2 0
1 1 2
0 0 2
2 1 1
1 2 2
10 8
0 0 3
3 3 2
3 1 3
1 1 1
2 0 0
1 2 1
3 0 2
1 3 0
3 3 1
1 3 2
10 7
1 3 2
3 0 3
0 1 3
2 1 0
1 2 1
3 2 3
2 0 3
0 3 3
3 3 1
2 3 1
10 4
2 1 2
3 2 3
3 0 0
0 2 1
0 1 2
2 2 3
1 3 0
0 0 1
2 0 3
3 1 2
10 9
1 0 2
0 1 0
1 2 1
2 2 1
1 0 0
1 1 1
2 2 2
0 0 0
2 1 1
1 2 0
10 4
2 2 0
0 2 0
2 2 3
0 0 1
1 3 3
0 3 2
0 1 1
2 1 0
2 0 2
2 3 0
10 7
1 2 2
2 1 0
0 0 1
0 2 2
1 1 0
2 0 0
1 1 1
1 2 0
1 0 0
0 1 0
10 7
1 1 1
2 2 1
2 0 0
0 2 0
2 2 2
2 1 2
1 1 0
1 0 0
1 2 2
2 1 1
10 3
1 2 0
0 0 2
0 1 0
0 1 1
0 0 1
2 0 1
1 1 0
2 1 0
1 1 1
1 2 2
10 6
2 1 2
0 0 0
2 2 0
0 2 1
0 0 2
2 0 0
1 1 0
1 2 1
2 1 0
1 1 1
10 4
2 1 2
3 2 1
1 2 3
2 2 0
0 3 0
1 3 0
3 1 0
2 0 0
0 2 2
1 1 3
10 3
0 3 2
1 2 0
1 2 2
1 1 2
0 1 1
3 3 2
0 2 1
1 0 0
3 0 3
3 0 2
10 6
2 1 2
1 0 2
1 0 0
1 1 2
2 1 0
1 1 0
0 2 2
0 0 0
1 1 1
1 2 1
10 3
2 1 2
0 0 1
2 0 3
2 2 3
2 1 1
1 3 0
1 2 0
3 2 1
3 0 0
1 1 1
10 2
2 1 2
0 2 0
0 0 1
0 2 1
2 2 0
0 1 0
1 1 2
0 2 2
2 0 2
0 1 1
10 7
1 0 2
2 0 2
0 0 1
0 1 2
1 1 1
1 0 1
2 1 1
1 2 0
0 2 2
2 1 2
10 9
3 1 2
3 0 0
3 1 0
2 2 2
3 0 1
0 3 1
0 2 1
0 2 0
1 0 3
1 1 3
10 2
0 1 2
2 2 1
1 0 2
2 1 2
1 0 1
0 1 1
2 0 1
1 2 0
2 1 1
1 1 0
10 6
0 0 0
0 0 1
1 2 2
1 2 0
2 0 0
2 0 1
2 1 0
2 0 2
2 2 1
0 1 2
10 6
0 1 1
2 2 0
0 0 1
1 1 1
1 2 1
1 2 0
0 1 0
2 0 0
1 2 2
2 2 2
10 7
1 0 0
2 1 2
3 1 3
1 3 2
0 0 2
0 3 2
3 0 0
3 0 1
2 1 1
2 3 2
10 7
1 2 1
2 2 1
2 1 1
1 0 2
1 1 1
0 1 1
2 0 1
2 0 0
2 1 2
0 0 2
10 2
0 0 2
0 1 1
0 2 1
0 2 0
1 2 0
1 1 0
0 2 2
2 1 2
2 1 1
1 0 0
10 3
2 3 2
1 0 3
2 3 1
3 1 2
1 2 0
3 1 3
1 2 3
2 3 3
0 1 0
3 2 1
10 9
1 3 0
3 3 0
2 1 2
2 0 0
3 3 3
2 3 3
0 2 3
0 3 1
1 2 0
2 2 1
10 6
1 1 0
3 2 1
2 2 3
3 3 0
0 3 0
3 2 0
0 0 2
0 1 0
0 0 1
3 3 1
10 9
2 0 3
3 1 3
0 3 1
3 0 1
3 1 1
2 2 3
1 2 0
2 1 1
0 1 0
0 0 1
10 2
2 2 0
0 2 3
3 3 1
1 3 0
0 1 2
2 0 3
3 1 3
2 3 3
1 3 2
1 3 3
10 8
2 1 0
1 3 2
0 2 2
3 1 3
0 3 1
2 2 1
3 0 2
1 0 3
1 2 0
2 3 3
10 4
0 0 2
1 0 0
3 2 3
2 2 3
3 0 1
1 0 2
1 2 3
1 3 0
1 2 2
3 1 0
10 6
0 0 1
2 2 2
0 2 0
2 1 0
1 1 1
2 0 2
0 0 0
2 2 0
1 0 1
2 2 1
10 2
0 3 3
2 2 0
1 2 1
1 0 2
2 0 0
2 2 1
2 2 2
3 1 0
2 3 1
0 1 3
10 8
0 1 2
1 1 2
2 2 1
0 2 0
0 2 1
0 1 0
2 0 1
1 0 1
1 1 0
1 2 1
10 8
0 0 2
3 2 1
2 2 2
3 1 1
1 0 1
2 2 0
2 2 1
3 0 0
2 3 2
1 3 3
10 2
2 0 0
2 1 2
1 3 1
0 2 2
0 0 3
1 2 3
1 0 0
2 3 3
1 2 2
2 2 2
10 8
1 1 0
2 0 0
2 2 1
2 2 0
0 2 0
1 2 2
1 1 1
0 2 2
0 1 1
0 1 0
10 4
0 3 0
2 2 3
3 1 0
3 2 2
0 3 1
3 0 3
1 1 2
1 2 3
0 2 0
3 3 0
10 3
0 1 1
0 3 3
2 1 2
2 3 1
2 0 1
0 1 3
1 2 2
3 3 1
1 1 1
1 3 0
10 9
0 1 1
0 0 0
2 1 1
0 0 1
0 1 0
2 1 2
1 1 0
0 0 2
1 2 1
0 2 0
10 8
1 2 2
1 1 1
1 2 0
1 0 2
1 0 0
0 0 1
1 0 1
0 1 0
2 2 1
2 1 0
10 7
3 2 0
0 2 0
0 0 0
0 1 3
3 3 1
2 3 3
3 0 1
0 3 1
1 0 2
3 2 3
10 2
0 1 2
1 0 0
0 1 1
2 1 0
2 2 1
0 2 2
1 2 2
2 1 1
0 0 2
2 2 0
10 4
3 1 2
1 1 0
2 3 3
2 1 0
3 3 3
0 2 0
0 2 2
3 3 2
0 2 3
2 3 2
10 2
0 1 0
1 1 1
2 1 0
1 2 0
0 2 0
0 0 1
2 1 1
0 0 0
0 0 2
1 1 2
10 4
2 0 1
0 3 1
3 3 1
1 2 1
0 0 3
2 0 2
0 2 1
2 2 3
0 1 3
0 0 1
10 7
2 2 2
1 2 2
2 0 1
0 0 0
1 0 0
2 0 2
0 1 1
1 2 1
1 2 0
0 1 0
10 5
1 0 2
0 1 0
1 0 1
1 2 1
0 1 2
0 1 1
1 1 0
0 0 2
2 2 2
1 2 2
10 7
0 2 1
2 2 3
1 0 1
3 3 2
2 3 3
2 3 1
1 1 3
0 1 2
3 1 0
2 1 1
10 3
2 0 0
1 0 2
0 1 0
2 0 1
0 2 2
1 1 2
2 1 2
2 1 0
2 1 1
0 2 1
10 3
0 1 0
3 2 3
0 3 0
1 3 2
3 3 1
3 0 1
2 1 2
1 1 3
3 0 0
2 2 1
10 7
1 1 1
2 0 0
2 0 1
0 1 2
2 2 1
0 1 0
1 1 2
0 0 0
0 0 1
0 2 2
10 6
0 3 1
0 2 0
1 2 1
1 2 3
1 2 0
0 3 2
1 2 2
2 2 1
0 0 3
3 3 1
10 9
2 2 1
3 2 1
0 3 2
3 2 2
1 3 1
1 2 0
3 3 1
0 0 1
2 1 1
1 2 1
10 8
1 1 2
0 2 0
2 1 2
2 1 0
2 2 0
2 1 1
2 2 2
1 0 0
1 1 1
0 2 2
10 3
3 1 2
1 2 0
3 0 3
2 1 1
2 0 0
3 1 3
0 2 3
2 3 1
3 2 2
2 2 0
10 6
1 3 1
1 2 2
3 1 2
2 2 2
3 3 1
3 2 1
0 0 1
2 0 2
0 1 2
3 2 0
10 3
1 1 0
0 1 2
2 0 0
1 2 1
1 2 0
0 1 0
1 0 0
0 0 2
0 2 1
0 2 0
10 3
2 1 1
0 1 2
0 1 1
2 2 1
2 0 2
0 0 0
1 0 0
1 0 1
2 2 2
1 2 0
10 3
2 1 1
0 0 1
0 2 2
2 0 0
1 0 1
1 2 0
1 0 2
0 2 1
0 1 0
2 2 0
10 5
3 1 3
1 3 0
2 3 0
2 2 3
1 3 3
1 0 1
2 0 3
1 0 2
0 2 2
0 1 0
10 9
3 2 0
2 1 0
3 0 0
3 3 1
0 2 3
2 0 1
1 3 1
0 0 2
0 1 0
1 1 2
10 8
0 2 3
0 0 3
3 3 1
1 2 2
0 0 1
3 3 3
0 2 1
3 1 3
3 1 2
2 1 3
10 6
1 2 0
0 1 1
0 0 0
2 2 2
2 0 1
1 1 0
2 2 1
1 0 1
0 1 2
0 2 0
10 5
0 0 0
1 2 1
0 2 1
1 0 0
0 0 1
1 0 1
1 1 2
2 1 2
2 1 0
2 0 0
10 4
0 1 2
1 0 0
1 2 2
0 0 0
1 0 1
2 2 0
0 2 1
2 0 0
1 2 1
0 2 2
10 5
0 0 2
1 0 1
0 0 0
1 0 0
2 0 0
1 2 0
2 0 1
1 1 1
0 2 0
2 2 2
10 4
2 2 1
1 0 0
2 2 2
1 0 2
0 0 0
1 1 0
2 1 2
0 0 2
2 1 0
1 1 1
10 9
2 0 2
0 2 1
2 1 1
0 0 1
1 0 1
2 0 0
0 2 2
1 0 2
2 2 2
2 2 1
10 3
0 3 2
1 3 3
2 0 2
0 3 1
3 2 2
2 0 1
1 3 1
1 1 1
2 3 3
0 2 0
10 2
3 1 1
3 3 3
3 2 1
1 3 2
0 2 3
1 0 1
2 3 1
0 0 0
2 2 2
2 1 3
10 3
2 2 2
2 0 2
2 0 0
1 0 1
1 1 0
0 1 0
0 2 1
2 2 1
0 1 1
1 1 1
10 6
0 3 2
0 0 2
0 0 0
3 3 1
3 2 0
1 0 0
0 0 1
1 3 1
1 0 3
0 0 3
10 5
1 0 1
2 0 1
1 2 1
1 1 2
2 0 2
0 2 0
1 2 2
2 1 1
0 1 0
0 1 2
10 6
1 0 3
2 3 2
3 2 2
1 2 2
0 2 1
3 0 3
2 0 1
1 1 1
3 3 0
0 0 3
10 8
2 3 2
1 1 2
1 1 3
3 3 1
0 0 2
1 0 0
3 3 3
1 2 1
0 3 0
0 1 3
10 9
0 2 2
2 1 2
2 0 2
0 0 1
0 2 0
2 2 2
0 1 0
2 1 1
0 1 1
1 0 0
10 3
3 1 3
0 0 3
1 2 1
2 0 2
2 2 3
3 2 1
0 2 0
0 1 0
3 3 0
1 0 1
10 6
2 1 1
1 0 0
1 1 1
1 2 1
0 1 1
1 2 0
2 2 1
1 2 2
2 1 2
0 1 0
10 6
3 1 3
0 0 1
3 0 1
3 2 3
3 3 0
2 3 1
3 2 2
2 2 3
0 3 3
3 2 0
10 3
2 2 2
1 1 1
1 0 2
2 0 2
0 0 0
1 0 1
2 2 0
1 1 0
0 1 1
1 0 0
10 7
0 0 0
1 1 2
2 2 0
0 2 2
2 2 1
2 1 2
2 0 1
1 0 0
1 0 2
2 0 0
10 2
1 0 2
1 2 0
1 0 0
1 0 1
2 2 0
2 1 2
0 0 2
0 1 0
0 1 2
0 2 0
10 4
2 2 1
3 0 1
1 0 3
2 3 0
2 3 2
2 2 2
0 3 2
3 0 0
2 3 3
3 3 3
10 5
1 3 3
3 2 3
1 2 3
1 2 0
3 1 1
2 3 1
0 1 3
0 3 3
0 3 0
0 2 1
10 5
0 1 0
2 2 0
3 3 2
0 3 0
0 3 3
0 0 3
1 1 2
2 1 0
1 2 1
1 0 0
10 2
3 3 3
1 0 1
2 1 3
2 1 0
1 2 1
3 2 0
3 3 0
1 1 2
3 2 2
3 0 1
10 4
1 2 2
0 2 0
1 0 2
2 2 1
2 1 0
2 0 1
2 2 0
1 1 2
0 1 1
1 1 1
10 5
0 1 3
3 0 2
0 1 2
0 2 3
3 1 2
2 3 0
2 2 3
2 1 3
3 3 3
2 0 1
10 7
2 0 3
2 0 2
0 0 0
0 2 3
1 3 3
3 0 3
0 3 1
2 0 0
2 3 2
3 1 1
10 4
2 2 0
2 2 1
0 3 3
3 0 1
2 3 1
3 2 3
0 0 3
1 1 3
0 1 1
3 1 3
10 8
2 3 1
3 1 1
1 2 2
1 0 1
0 1 1
2 0 1
2 3 2
1 1 3
2 3 0
0 2 1
10 7
1 0 1
0 0 0
1 0 2
0 0 2
2 0 2
0 1 2
0 0 1
0 2 1
1 0 0
0 2 2
10 3
0 1 2
0 2 0
1 2 2
1 2 0
2 2 2
2 0 2
2 1 2
1 2 1
0 1 1
2 1 0
10 6
2 0 0
2 1 2
1 2 2
0 2 0
0 0 0
0 0 2
2 0 2
2 2 0
1 0 1
1 0 2
10 6
3 0 2
3 3 3
0 0 3
0 0 2
2 3 1
0 1 3
3 0 3
1 3 0
3 2 1
2 3 2
10 4
1 2 1
0 1 3
2 3 1
2 3 0
0 3 2
0 0 0
3 2 1
3 0 1
3 1 0
2 0 2
10 5
2 0 2
0 3 0
3 1 3
2 3 3
1 2 2
1 0 3
0 0 0
3 0 3
1 3 1
0 0 3
10 2
2 2 0
0 0 0
2 0 1
1 1 1
0 0 2
0 1 1
1 2 1
2 0 2
2 2 1
0 1 2
10 5
1 1 0
1 0 0
2 0 2
0 2 0
2 1 1
2 0 1
1 0 2
1 1 2
0 2 1
0 0 2
10 2
1 2 1
1 1 0
1 0 2
0 0 2
0 1 0
2 1 1
1 0 1
0 1 1
0 0 1
2 0 0
10 9
0 0 1
2 2 2
1 1 1
1 1 2
1 0 2
2 1 2
0 2 0
2 2 1
1 2 0
2 0 2
10 5
1 2 3
3 2 2
2 0 2
1 2 1
3 0 1
0 0 0
1 1 1
1 3 2
2 1 0
0 0 1
10 4
0 0 1
2 0 0
1 2 2
2 2 2
2 1 0
1 2 1
0 0 2
2 2 0
0 2 1
2 0 2
10 5
0 2 1
1 2 2
0 1 0
2 2 1
2 0 1
0 2 0
1 0 2
2 1 1
1 0 0
0 0 1
10 9
2 0 0
0 3 1
0 0 3
2 1 1
3 1 3
2 3 2
3 0 3
2 2 1
3 0 1
2 3 1
10 6
3 1 0
0 0 2
2 3 1
0 2 3
1 0 2
1 2 0
2 0 1
0 3 2
2 2 0
2 1 0
10 6
0 3 3
0 2 3
0 0 0
3 1 0
2 1 2
1 0 2
1 1 1
1 1 0
3 3 3
0 2 0
10 7
2 0 0
2 0 1
2 2 0
1 0 1
2 1 0
1 1 0
1 2 1
1 2 2
0 0 2
2 2 2
10 7
1 1 2
2 2 1
1 1 1
0 0 1
1 0 0
2 1 2
0 1 2
2 0 0
1 2 0
0 1 1
10 7
1 3 1
0 3 0
0 1 1
0 0 0
2 1 1
1 0 2
3 2 2
2 2 3
3 2 0
1 1 1
10 9
2 0 1
1 1 0
0 0 2
0 2 1
2 1 1
2 0 2
2 2 2
1 0 2
0 2 2
0 1 2
10 7
0 2 1
3 2 0
1 1 0
2 0 2
0 2 2
2 3 3
1 3 1
0 0 2
1 0 2
2 1 1
10 3
0 1 0
2 2 1
2 1 3
3 0 2
0 2 0
3 2 3
2 0 0
3 2 1
3 1 0
1 2 3
10 8
0 0 2
2 0 1
0 2 1
1 2 0
1 0 0
1 1 0
0 0 1
0 1 0
1 1 2
1 0 1
10 2
0 3 2
0 2 2
1 3 0
3 1 1
0 0 2
3 0 2
3 0 1
3 3 0
1 0 3
2 2 2
10 2
1 1 0
0 1 1
0 1 2
1 0 0
1 1 1
0 3 0
2 3 0
3 1 2
3 0 1
1 0 3
10 6
0 3 2
1 0 0
1 2 2
0 2 2
0 3 0
0 2 1
3 3 3
3 2 0
2 1 0
3 2 1
10 6
2 1 1
1 2 0
1 2 2
1 0 1
0 0 0
0 0 2
1 1 0
1 2 1
2 2 0
0 2 1
10 3
0 0 2
0 2 1
2 1 0
2 2 1
0 0 1
0 2 2
1 1 1
1 2 1
2 1 1
2 0 0
10 8
2 2 0
1 0 2
0 0 1
1 2 2
0 1 0
1 1 2
2 1 1
1 0 0
2 2 2
0 2 1
10 7
2 2 2
0 2 0
1 2 1
0 0 1
1 1 1
0 1 1
2 0 0
2 2 0
2 1 1
1 2 2
10 4
2 0 2
1 2 1
2 1 0
2 2 1
0 0 2
2 2 2
1 1 1
1 0 1
1 1 2
2 1 1
10 3
3 3 1
2 1 2
1 1 0
2 3 1
3 0 1
0 1 0
0 2 2
2 2 2
3 0 2
3 3 2
10 9
2 3 3
0 3 3
2 2 3
2 1 3
3 1 0
1 2 3
3 3 3
3 2 2
1 3 0
1 3 3
10 3
1 2 1
1 1 0
3 1 1
2 3 2
0 2 3
3 2 2
0 3 0
0 1 3
3 3 0
2 2 3
10 5
0 0 0
2 2 1
2 1 1
1 1 1
2 0 1
1 0 2
0 1 2
1 2 0
2 1 2
0 0 2
10 8
3 1 2
3 1 0
3 1 3
2 3 2
1 0 0
2 0 2
1 0 1
1 1 1
3 2 3
1 2 2
10 9
3 2 1
0 1 0
2 2 2
1 1 1
3 3 0
1 2 2
2 1 1
1 3 3
0 3 3
3 2 2
10 5
1 1 1
1 0 0
2 2 1
2 1 2
0 2 2
2 0 1
1 2 1
2 2 2
1 1 2
0 2 0
10 3
2 2 1
0 2 2
1 0 2
1 2 1
1 1 2
0 0 1
1 0 1
0 2 0
2 1 2
2 2 2
10 2
3 3 0
2 3 1
2 2 0
3 2 1
0 1 3
1 3 3
1 1 0
3 1 1
2 3 0
3 1 3
10 7
1 2 1
0 1 2
2 1 0
1 0 2
1 0 1
1 1 0
0 2 0
1 2 2
2 2 2
2 0 0
10 9
3 3 3
2 0 1
3 3 2
1 3 0
2 3 3
1 0 1
2 2 1
0 0 1
0 3 3
3 0 3
10 5
0 2 0
0 2 1
1 1 0
2 0 2
2 2 0
0 2 2
1 0 2
0 0 1
1 0 0
2 1 1
10 6
2 0 0
2 2 2
2 1 1
1 2 1
1 0 1
1 0 0
0 0 1
1 1 2
2 1 0
1 1 1
10 8
1 2 2
0 2 3
0 3 1
3 1 3
3 3 0
1 1 1
1 1 0
1 2 0
3 2 2
3 0 0
10 3
1 1 1
0 0 1
2 0 2
0 2 1
2 1 0
2 0 0
0 1 2
2 2 1
0 2 2
1 0 0
10 5
1 2 1
1 2 0
0 0 0
0 1 0
0 1 1
1 1 1
2 0 1
0 0 1
1 1 2
0 2 2
10 3
0 2 1
0 2 0
0 2 2
0 1 2
1 2 1
2 0 0
2 0 1
1 1 1
1 1 0
1 0 0
10 4
2 2 1
2 2 2
1 2 1
0 1 2
2 0 2
0 2 2
0 1 1
0 2 1
1 0 2
1 1 0
10 8
2 1 2
0 0 2
1 1 2
1 1 1
1 1 0
1 2 2
0 1 2
0 0 1
0 2 0
0 1 0
10 3
2 2 0
0 1 2
0 0 2
1 1 0
0 0 0
2 2 2
0 2 2
1 2 1
1 0 0
0 0 1
10 2
0 0 1
2 0 1
0 2 1
2 2 2
1 1 2
0 1 0
2 0 0
0 1 2
0 0 0
1 0 2
10 7
0 0 1
3 1 3
3 2 3
3 3 3
3 1 2
3 1 1
1 2 2
2 1 1
2 3 0
0 1 1
10 9
1 2 0
2 2 1
1 2 2
2 1 0
1 1 0
0 0 1
2 0 0
1 0 2
2 1 2
2 0 2
10 4
0 2 3
1 1 0
3 2 3
3 1 3
1 3 1
1 3 0
0 2 2
3 1 1
0 3 1
2 0 2
10 5
2 0 1
1 0 2
0 2 2
2 1 1
0 2 0
0 0 2
2 0 2
0 1 1
1 2 2
0 1 0
10 4
0 1 2
1 2 3
1 1 3
0 3 3
3 0 2
1 0 3
3 1 2
2 1 2
0 0 1
2 3 2
10 5
1 2 2
0 2 0
2 0 1
0 1 2
2 0 2
1 0 1
0 0 0
2 1 1
0 2 2
0 0 2
10 6
1 1 1
1 0 2
0 1 0
0 0 2
1 2 2
0 0 1
1 0 1
0 1 1
1 0 0
1 2 1
10 9
1 1 0
3 0 0
2 0 2
3 3 2
3 1 0
0 1 3
3 2 1
3 2 0
2 3 0
3 0 1
10 4
1 1 0
0 2 2
1 0 2
1 0 1
0 1 1
2 2 1
0 2 0
2 2 0
1 2 0
0 0 2
10 9
0 1 1
1 3 1
2 2 2
2 2 3
3 2 1
0 0 3
2 1 1
3 3 2
0 3 1
2 1 2
10 5
0 0 1
1 2 0
0 2 0
2 2 0
0 0 0
2 1 0
2 2 1
1 0 0
2 1 2
1 0 2
10 5
1 2 0
0 2 2
0 2 1
1 1 1
2 1 2
1 0 0
1 2 1
2 0 2
2 1 1
1 0 2
10 4
2 1 0
3 0 0
1 1 0
1 3 1
3 1 2
2 3 1
1 0 0
0 2 1
1 0 3
2 2 0
10 7
2 0 1
2 3 2
1 1 2
3 2 3
2 1 2
1 3 0
3 2 1
0 0 3
1 1 3
3 2 0
10 7
1 1 2
2 1 0
2 2 0
1 0 2
0 2 2
1 2 0
1 0 0
2 0 0
0 2 0
2 0 2
10 4
1 0 1
1 0 2
2 2 0
0 0 1
2 0 2
1 2 1
2 0 0
2 1 2
2 1 1
0 0 2
10 4
2 2 0
1 1 2
0 1 1
2 0 0
1 1 0
1 0 2
1 1 1
2 1 0
1 0 1
0 1 0
10 4
2 1 1
2 3 3
2 0 1
2 2 3
1 1 2
0 1 2
0 0 3
3 0 1
2 2 2
0 1 3
10 6
1 1 2
2 0 1
1 2 0
0 3 0
2 1 1
2 2 3
3 1 2
1 2 3
2 2 0
3 1 0
10 9
2 0 0
0 1 1
0 2 2
2 1 0
2 0 2
1 0 2
0 2 1
0 1 2
0 0 2
1 0 0
10 2
3 0 2
3 1 2
0 0 2
3 3 0
0 1 0
0 2 2
2 1 3
1 1 2
2 0 3
0 0 0
10 3
3 3 1
1 2 1
2 1 1
0 3 3
1 0 0
3 0 2
2 2 1
2 3 0
0 0 1
2 1 3
10 9
3 2 3
1 3 1
0 2 0
3 1 3
2 3 0
2 3 1
0 3 3
1 0 0
0 1 1
0 0 0
10 4
2 3 1
1 1 0
1 1 1
3 1 2
1 3 1
3 3 3
0 2 0
3 1 3
0 3 0
0 1 2
10 7
2 0 0
0 2 2
0 1 0
0 1 1
1 0 0
1 2 1
2 1 1
2 2 2
0 2 1
0 1 2
10 8
1 1 2
0 0 2
0 2 2
1 0 0
1 2 0
2 0 2
0 1 0
2 0 1
2 0 0
2 2 2
10 3
2 0 1
1 3 2
1 0 3
0 3 1
0 3 2
3 2 1
3 2 0
3 3 2
1 0 1
0 2 3
10 7
3 0 0
2 1 3
3 2 0
1 0 1
0 2 1
1 3 0
2 2 1
2 0 3
3 1 1
0 2 0
10 4
0 2 1
1 2 2
2 2 1
2 0 0
0 0 2
0 1 1
0 1 2
0 0 1
2 0 2
2 1 1
10 9
2 1 0
3 0 2
0 2 3
0 3 2
0 3 0
3 3 2
1 1 1
1 0 1
2 0 1
2 1 2
10 5
0 0 0
3 0 2
3 1 0
1 1 1
1 2 2
3 2 3
3 3 3
2 0 0
3 2 0
0 2 2
10 7
1 1 0
0 2 2
2 2 0
1 0 2
0 2 0
1 1 1
0 0 1
2 1 2
2 2 1
1 1 2
10 6
0 2 0
3 0 1
0 3 3
1 3 0
3 3 1
2 2 3
0 1 1
1 3 3
2 2 2
1 0 0
10 2
2 3 1
2 1 0
1 0 2
1 1 1
0 2 0
2 0 1
0 0 2
3 3 1
0 2 2
3 0 2
10 8
2 0 3
2 2 3
3 1 2
2 2 1
3 1 3
2 0 0
3 2 2
1 3 3
2 2 0
1 3 2
10 3
1 2 1
0 1 2
0 2 1
2 2 2
1 1 1
0 1 0
1 1 0
0 2 2
2 0 0
0 0 0
10 8
0 0 1
0 2 1
1 2 1
2 0 0
0 1 3
3 3 3
0 2 2
1 3 0
2 2 2
1 2 2
10 9
1 2 2
1 1 2
2 0 2
0 2 0
1 1 1
2 1 1
0 1 1
0 0 0
0 1 0
1 2 0
10 4
0 0 1
2 0 3
0 1 1
2 0 1
2 3 3
0 1 2
2 1 1
3 0 3
0 3 1
3 3 3
10 7
0 1 3
3 0 2
2 2 1
0 3 3
3 3 1
0 0 1
1 0 1
3 3 0
1 2 1
0 3 0
10 6
3 0 0
2 0 0
1 1 0
1 1 1
3 3 1
3 1 3
0 3 1
2 2 1
3 2 3
0 1 0
10 2
2 2 0
1 1 1
2 1 0
2 0 1
0 0 0
2 0 2
2 2 1
1 2 0
0 1 0
1 0 1
10 2
1 0 2
2 2 0
2 0 2
0 1 0
1 1 2
2 2 2
0 0 0
0 2 1
1 0 1
2 0 0
10 5
1 3 0
3 1 0
0 3 1
0 0 3
3 0 0
2 0 2
3 1 1
2 3 2
1 3 3
1 1 1
10 7
1 3 2
3 2 1
3 2 3
3 2 0
2 0 1
3 3 0
1 0 3
1 1 0
3 0 0
1 2 1
10 4
1 0 0
2 2 2
1 1 0
0 1 0
1 2 1
1 1 1
0 0 2
0 2 2
1 1 2
0 0 1
10 5
1 0 3
1 0 0
2 0 0
1 0 2
0 2 2
0 3 0
0 0 1
1 2 3
1 1 0
3 2 3
10 8
2 3 1
3 1 3
3 3 3
2 3 2
3 2 3
0 3 3
2 2 0
1 3 1
1 2 1
0 1 1
10 4
2 0 1
1 2 2
2 2 1
0 1 0
2 2 2
2 0 0
1 2 0
2 1 1
0 2 2
0 0 0
10 4
1 2 3
0 1 3
3 0 1
1 3 0
0 0 3
3 2 3
2 2 1
0 0 1
3 3 3
1 2 1
10 7
2 0 2
1 0 1
1 0 2
0 0 0
0 2 1
2 1 1
1 2 0
1 2 1
2 1 2
1 2 2
10 7
0 0 2
2 0 2
1 0 0
0 2 1
1 2 1
1 2 2
1 0 2
2 0 0
1 1 2
2 2 2
10 3
2 0 2
2 0 0
0 1 2
1 1 2
2 2 1
2 1 2
2 1 0
1 2 1
0 1 1
1 1 0
10 4
1 0 2
2 2 2
0 1 0
1 2 2
0 1 1
1 0 0
1 0 1
2 0 0
1 2 1
1 1 2
10 5
1 1 0
2 0 3
2 1 1
2 1 2
3 2 1
0 1 3
2 0 2
0 2 2
1 0 3
1 1 1
10 5
0 0 0
1 2 2
1 1 2
0 2 0
0 1 0
2 2 1
1 1 0
0 2 2
1 0 0
1 2 1
10 9
0 1 2
0 2 0
1 2 1
0 1 1
3 1 0
2 0 0
0 0 1
2 1 3
2 0 1
0 0 3
10 7
1 2 0
2 2 3
1 0 0
0 1 1
3 3 2
3 3 0
1 0 1
1 2 3
0 2 2
0 3 0
10 6
0 1 2
0 2 1
0 2 2
2 2 0
1 1 0
0 2 0
2 2 2
0 0 1
1 2 0
1 1 2
10 4
0 0 0
1 2 3
0 2 3
1 0 0
1 1 0
0 0 1
1 0 3
2 1 2
3 3 3
3 2 3
10 8
2 1 2
2 2 2
2 0 0
0 1 2
1 0 0
2 2 0
0 1 0
1 1 0
1 1 1
0 2 0
10 3
3 2 1
0 2 0
1 2 2
0 3 0
1 3 0
3 3 1
3 3 0
1 0 3
2 1 0
2 2 1
10 2
1 0 1
3 1 3
2 2 1
3 0 2
1 1 3
2 1 0
1 1 1
0 1 2
1 0 0
3 3 3
10 2
1 1 0
0 0 0
2 0 1
2 2 1
0 0 1
1 1 1
2 1 1
2 0 2
1 0 1
0 0 2
10 4
0 2 0
1 1 1
0 1 2
0 0 1
0 0 0
1 0 0
1 0 1
2 2 0
2 1 1
0 2 2
10 3
1 0 0
1 1 1
0 2 0
1 0 1
2 2 0
0 1 2
0 0 2
1 1 2
0 0 0
2 2 1
10 3
0 2 1
0 0 2
0 0 0
0 1 0
2 2 0
1 0 2
2 1 2
1 2 1
0 2 2
0 0 1
10 8
1 1 2
0 2 1
2 1 1
1 0 0
1 0 1
1 2 1
0 0 2
1 0 2
0 1 2
2 1 2
10 8
2 3 3
2 2 1
0 3 1
3 1 1
1 3 3
0 1 2
3 0 0
3 3 2
1 0 0
0 1 3
10 6
1 3 1
3 0 3
2 0 1
2 3 3
3 0 2
1 1 3
2 1 0
1 1 2
0 2 3
1 0 2
10 7
1 1 1
2 2 0
1 3 2
2 0 0
0 0 1
3 1 0
0 1 0
3 0 3
2 1 1
1 2 2
10 5
1 0 0
3 0 0
0 0 1
3 1 1
0 0 0
3 2 1
3 1 2
0 2 2
0 0 3
1 1 3
10 8
2 3 1
3 0 2
2 2 2
2 3 3
2 2 1
2 2 0
3 1 2
2 1 3
3 3 0
1 1 1
10 2
0 2 0
0 2 2
2 2 3
3 1 3
1 0 2
1 1 2
2 2 1
2 3 3
2 1 1
1 3 0
10 6
2 0 2
2 2 1
2 0 0
1 0 1
0 1 0
0 1 1
2 2 2
1 0 2
1 2 0
0 1 2
10 8
1 2 2
3 2 3
1 1 1
1 1 3
2 2 1
0 3 0
1 2 3
2 1 1
3 2 2
3 1 1
10 2
0 1 2
2 1 1
3 0 1
2 0 3
3 2 1
1 3 0
2 2 1
3 2 3
1 0 0
1 3 1
10 2
0 0 0
3 1 1
2 2 0
1 3 0
0 2 2
0 0 1
3 2 2
1 3 3
2 1 2
0 1 0
10 8
2 2 0
2 0 0
2 2 2
0 1 0
1 2 1
0 1 2
1 0 2
0 0 1
1 0 0
2 2 1
10 5
2 2 2
0 1 1
2 0 1
0 0 2
2 2 1
0 2 0
1 2 2
2 1 1
0 2 1
0 1 2
10 5
0 0 2
2 2 0
2 1 1
0 2 1
1 0 1
1 2 2
0 0 0
2 0 2
1 0 2
1 2 1
10 3
2 0 1
2 0 0
2 0 2
0 0 2
2 1 1
1 2 1
0 1 1
1 2 0
1 0 2
2 1 2
10 8
0 2 0
1 1 2
2 0 1
1 2 0
2 1 2
1 0 2
0 2 2
0 2 1
1 0 0
0 1 2
10 8
0 0 2
1 1 2
2 1 0
1 2 0
2 1 2
1 0 2
2 0 1
0 2 2
1 2 1
0 1 0
10 4
1 2 2
0 3 3
1 1 3
0 3 2
2 0 2
3 3 0
3 1 2
3 1 0
3 0 3
3 1 3
10 8
1 0 0
2 2 1
0 2 2
2 1 1
2 0 0
0 0 1
2 0 1
2 1 2
0 1 0
0 1 2
10 9
1 1 3
3 1 1
1 2 1
1 3 1
2 1 2
2 1 1
1 3 2
0 1 2
3 0 0
1 3 0
10 2
2 2 1
2 0 0
1 2 1
0 2 0
2 1 0
2 0 1
1 1 1
1 0 2
0 0 0
0 1 1
10 9
2 1 1
1 1 0
0 1 1
2 2 2
0 0 2
0 2 0
0 2 1
2 2 0
0 0 0
0 1 2
10 9
0 2 1
1 2 2
0 2 0
2 2 0
1 1 2
0 0 2
2 0 2
1 2 0
1 0 1
0 1 2
10 2
0 0 2
1 1 2
1 1 0
1 0 1
2 1 1
1 2 1
0 2 1
2 1 0
2 0 0
2 2 2
10 7
1 1 1
1 0 0
0 1 0
1 2 2
2 0 1
0 2 1
0 0 1
1 0 2
2 0 2
0 2 0
10 6
2 0 2
2 0 1
2 2 2
2 1 2
0 2 1
0 0 2
0 1 0
1 2 1
0 2 2
2 2 1
10 8
1 2 0
1 2 1
1 0 2
2 2 1
2 1 0
0 2 0
2 0 1
0 1 1
0 0 0
0 1 0
10 7
1 1 1
1 1 0
2 1 0
0 0 1
2 1 1
2 2 0
0 0 2
2 0 1
1 0 2
1 1 2
10 7
0 2 2
1 1 2
1 2 0
0 1 0
1 2 1
1 2 2
1 0 0
0 0 1
2 0 0
2 1 2
10 7
0 0 0
1 0 0
2 0 0
0 2 3
3 0 2
0 1 3
2 0 1
3 1 0
1 0 2
2 1 1
10 6
1 2 1
0 1 2
1 2 0
2 2 1
2 1 2
1 1 2
0 2 2
0 1 0
1 2 2
2 0 0
10 2
0 3 3
0 1 1
3 0 0
0 0 0
1 2 1
3 1 3
1 3 2
1 1 3
0 3 1
2 1 3
10 7
1 2 1
2 2 0
2 0 0
1 1 2
0 1 0
0 2 1
0 0 1
2 1 0
1 0 0
0 1 1
10 2
2 1 2
2 2 1
2 0 2
0 1 1
0 1 2
2 1 0
1 0 0
2 2 2
0 2 0
1 2 0
10 3
3 0 1
2 3 2
0 2 3
2 1 3
0 3 0
3 3 2
2 2 1
1 3 3
3 0 2
3 3 0
10 5
2 0 1
1 0 2
1 0 1
2 0 0
1 2 2
0 0 2
0 2 1
0 0 0
2 1 1
0 1 1
10 6
2 2 0
1 1 1
2 1 2
0 1 0
1 2 2
1 2 1
1 0 2
2 2 1
2 0 0
0 1 1
10 8
2 1 0
2 2 0
2 2 2
0 1 2
2 1 1
0 1 1
1 2 1
1 0 1
0 2 0
2 0 1
10 7
0 2 1
1 1 2
0 1 2
2 1 1
2 1 2
0 2 0
1 0 2
1 0 0
0 1 0
2 2 1
10 3
2 1 2
0 1 0
1 1 2
0 1 1
0 1 2
2 2 1
2 2 0
2 0 2
1 1 0
2 0 0
10 4
0 2 1
2 2 1
2 0 2
2 1 2
1 0 1
0 1 1
2 1 0
0 1 0
2 2 0
0 1 2
10 3
1 1 2
3 2 3
1 3 2
1 3 1
3 0 3
1 3 3
2 3 3
0 2 0
0 0 3
1 0 2
10 5
1 1 1
0 2 0
1 1 0
3 3 2
2 1 2
1 0 2
0 0 1
2 1 3
3 2 0
2 0 1
10 6
2 1 2
3 3 3
0 2 2
0 1 3
3 2 1
3 1 2
1 0 0
0 0 2
1 3 3
1 2 1
10 8
1 2 3
1 2 2
1 3 0
2 2 1
0 3 0
0 1 3
3 0 2
0 1 2
2 0 2
1 3 2
10 3
1 2 2
0 3 2
3 0 3
2 2 0
1 1 3
2 3 3
3 1 1
3 2 2
0 1 0
1 3 1
10 7
0 1 0
2 1 1
0 0 2
2 1 0
2 1 2
2 0 2
0 2 1
1 1 1
2 2 1
0 0 0
10 4
2 2 1
0 2 2
0 1 0
0 2 0
0 2 1
2 2 0
1 0 1
0 1 1
2 1 0
2 0 2
10 4
1 1 1
0 3 2
3 2 2
3 0 3
2 0 3
0 1 3
3 1 1
3 0 0
3 2 3
0 2 1
10 3
2 1 0
0 0 0
3 2 1
1 2 0
1 1 1
0 3 2
1 0 2
3 2 3
3 1 0
0 2 2
10 3
2 0 2
1 2 2
2 3 2
3 0 2
2 3 0
0 0 0
0 0 1
2 1 3
0 2 1
1 2 3
10 7
2 0 1
2 2 1
0 2 2
0 2 1
1 0 2
1 1 2
0 0 1
0 1 0
2 2 2
2 1 2
10 5
0 3 1
3 2 0
2 1 1
0 0 3
0 1 3
3 1 2
3 0 0
0 2 3
2 2 2
1 3 0
10 5
1 1 2
0 1 1
0 0 1
0 0 2
1 1 0
2 0 1
2 1 2
2 2 2
1 0 1
2 0 2
10 6
1 0 2
1 1 1
0 1 1
2 3 3
3 2 2
2 2 3
1 3 2
0 1 2
2 0 2
3 2 1
10 8
0 2 0
0 2 2
1 2 2
1 0 1
0 1 2
0 1 1
2 2 2
1 0 2
2 1 1
2 1 2
10 3
2 3 1
2 0 3
1 1 0
3 3 3
2 1 3
1 1 1
0 2 0
3 2 2
1 0 1
2 2 2
10 9
0 0 1
2 2 0
0 1 2
1 0 1
3 2 0
2 3 2
2 1 2
1 2 2
3 2 2
3 0 2
10 7
2 1 2
0 0 2
3 1 1
3 2 3
2 2 1
1 3 3
0 3 1
1 1 3
3 2 1
2 0 0
10 2
0 0 0
0 2 2
2 2 2
1 2 2
3 0 3
1 1 0
3 2 3
3 0 2
0 2 0
1 3 2
10 8
1 3 2
1 1 3
1 0 2
1 3 1
2 0 2
3 1 3
1 0 0
0 1 0
2 3 2
2 3 3
10 9
1 2 2
1 1 0
2 1 2
2 2 0
2 1 1
0 2 2
0 2 1
2 2 1
1 2 0
2 1 0
10 3
1 2 0
1 2 1
0 2 1
2 0 1
1 1 2
2 0 2
1 0 0
0 0 1
2 2 0
0 1 2
10 3
0 0 3
1 3 0
1 0 2
1 3 2
0 1 2
2 3 1
3 0 2
3 1 0
3 3 3
1 1 1
10 5
0 0 0
1 0 0
1 1 2
2 2 1
0 2 2
2 1 2
2 1 0
2 2 2
1 1 0
0 0 1
10 8
1 1 0
1 2 0
2 0 0
2 1 0
0 1 2
2 2 2
2 1 2
0 1 1
0 2 0
2 0 1
10 2
0 2 3
2 0 0
0 3 2
2 0 1
2 2 1
3 1 1
1 2 1
1 0 0
3 0 2
3 1 0
10 2
2 0 2
1 1 1
1 0 2
1 0 0
2 1 0
2 1 2
0 0 2
2 2 0
1 1 0
0 1 0
10 6
2 1 2
3 3 3
0 0 0
0 0 1
0 1 2
1 1 0
2 3 1
2 1 1
3 1 2
2 3 2
10 2
1 2 2
0 0 0
0 1 1
2 2 0
0 2 2
2 1 1
2 0 2
0 2 0
2 0 0
2 1 0
10 3
2 2 0
1 1 0
0 0 1
2 2 1
1 2 2
2 0 1
1 2 1
1 2 0
0 1 2
2 0 2
10 2
0 0 2
1 1 0
1 0 0
2 1 1
0 0 0
2 0 1
1 2 2
0 0 1
1 2 0
2 0 0
10 2
2 0 1
2 1 1
1 0 2
0 0 1
2 2 2
1 1 1
2 1 2
2 0 2
2 0 0
1 2 1
10 5
2 1 2
1 1 2
0 1 1
0 1 2
0 1 0
2 0 1
0 2 2
1 0 1
0 2 1
2 2 0
10 5
0 2 0
2 1 2
2 2 2
1 2 0
2 1 0
0 0 2
2 2 0
1 0 0
2 2 1
0 2 1
10 3
0 0 1
2 0 1
1 1 2
1 1 1
2 2 1
2 1 1
1 0 2
2 2 2
2 1 2
0 0 2
10 3
1 2 1
0 0 2
0 2 0
2 2 1
1 0 1
1 0 2
1 2 0
2 1 0
1 0 0
1 1 2
10 5
2 2 3
2 2 0
3 0 1
2 0 3
0 3 3
3 0 2
3 1 3
0 3 1
0 1 2
0 2 1
10 6
2 0 2
2 1 2
1 0 1
0 1 0
1 2 2
1 0 0
1 1 2
2 2 0
2 0 0
0 2 2
10 4
1 2 2
1 3 0
0 3 0
3 0 0
3 3 2
3 3 1
0 2 2
0 0 1
0 3 2
3 2 2
10 7
2 0 3
1 2 2
0 3 2
0 1 3
1 3 0
3 2 1
2 1 1
3 1 1
1 1 0
0 1 1
10 7
1 3 3
1 0 2
1 1 2
2 0 1
3 3 1
0 2 3
3 2 1
3 2 2
0 1 2
3 2 3
10 8
0 0 2
2 3 1
0 2 3
2 0 1
1 2 2
2 1 3
0 1 1
2 0 3
0 3 1
3 1 1
10 7
1 0 0
0 2 1
2 2 0
2 1 2
2 0 0
0 0 2
0 2 0
0 1 1
1 1 2
0 0 0
10 8
0 2 0
2 3 0
0 3 2
3 1 3
1 0 1
3 1 2
0 0 0
1 3 3
0 3 3
3 0 1
10 9
3 2 2
0 3 1
3 0 0
0 2 2
1 0 1
1 0 0
1 3 3
3 0 2
2 3 1
1 1 1
10 3
2 1 2
2 1 1
0 0 2
2 0 1
0 2 1
0 1 2
1 2 2
0 1 0
1 1 2
1 0 0
10 2
2 1 2
2 1 0
0 2 2
1 1 0
0 2 0
0 1 0
2 2 0
2 0 2
0 2 1
1 0 2
10 3
2 0 0
0 3 1
0 3 3
0 1 0
2 2 1
1 3 3
1 2 0
2 3 2
3 2 2
2 0 1
10 5
0 1 0
2 2 0
1 2 0
2 1 1
0 0 1
0 2 2
2 0 2
2 2 2
0 0 2
2 2 1
10 8
0 3 3
1 3 2
3 1 2
0 3 2
0 2 2
2 2 3
3 1 3
2 0 1
3 2 0
2 1 1
10 8
2 1 0
1 0 1
1 0 2
0 0 0
1 1 1
2 1 1
2 2 1
1 1 2
1 2 0
1 1 0
10 4
3 2 3
2 2 1
2 1 1
0 3 1
3 0 1
3 1 3
1 0 0
3 2 1
1 0 2
1 2 1
10 8
0 0 0
3 0 0
3 0 2
3 3 0
0 2 3
0 2 2
2 3 0
3 3 2
3 0 1
2 3 3
10 2
3 1 3
3 1 0
0 0 2
0 2 2
1 1 2
0 0 0
0 2 3
1 0 2
0 0 3
3 2 1
10 2
1 2 3
2 3 3
1 3 0
1 2 1
3 1 1
1 2 0
3 3 2
2 1 2
2 3 0
2 1 1
10 2
1 2 2
0 1 2
1 0 0
2 0 2
2 1 2
0 0 0
0 2 0
1 1 1
1 1 0
0 2 1
10 9
2 0 0
0 0 2
2 1 1
1 1 0
1 1 1
2 1 2
1 2 0
1 0 1
1 0 0
0 0 0
10 4
1 3 0
0 0 0
3 2 2
3 1 3
2 0 3
0 2 3
0 3 0
0 0 2
0 2 2
1 3 3
10 6
3 2 3
1 2 0
3 0 3
1 0 0
2 2 1
0 0 1
2 0 1
2 3 0
0 1 1
1 1 0
10 9
1 2 1
2 2 1
2 1 1
0 2 0
0 0 2
0 1 1
1 2 2
1 0 0
1 1 2
2 0 2
10 9
2 1 2
1 1 2
3 3 2
1 0 1
0 3 2
3 1 2
3 0 2
1 1 0
2 2 3
0 3 0
10 7
2 2 0
0 2 2
1 2 0
1 2 2
0 0 0
0 1 0
0 1 1
2 2 2
0 2 0
1 1 2
10 4
1 2 2
0 2 3
3 1 3
1 1 0
0 1 1
1 0 2
0 2 1
3 0 1
2 0 3
3 3 3
10 3
2 3 2
2 1 3
1 0 2
2 0 1
0 0 2
0 3 3
1 0 3
2 1 0
2 3 3
0 3 0
10 5
2 1 1
0 3 2
1 2 1
0 0 2
3 2 3
2 1 2
1 1 3
1 2 3
1 0 0
3 0 1
10 2
1 0 1
1 1 2
0 2 1
3 2 1
3 1 1
1 2 0
0 3 2
0 0 3
0 3 0
3 1 3
10 4
0 2 0
2 2 2
0 0 1
2 0 1
2 0 2
1 1 2
1 1 1
0 1 0
2 2 1
1 2 2
10 2
1 2 0
2 1 0
0 2 2
1 2 1
1 1 2
1 0 2
1 1 0
2 1 2
0 0 1
2 0 0
10 7
0 3 0
0 2 1
3 0 3
2 1 0
3 1 2
1 0 1
0 0 1
0 0 3
2 3 3
1 3 2
10 5
2 2 3
0 3 1
0 1 1
2 1 1
3 0 3
3 3 0
0 1 2
3 1 3
0 1 3
1 2 3
10 3
2 2 0
0 1 0
1 1 1
2 0 1
1 0 1
1 1 2
0 2 1
2 0 0
1 2 2
1 0 0
10 8
1 0 2
0 2 0
0 2 2
2 0 1
1 2 0
2 2 1
2 0 0
2 2 0
2 1 2
1 1 0
10 5
1 1 3
1 3 0
1 3 3
2 2 2
0 3 0
1 0 3
1 2 1
2 0 3
1 0 2
3 3 0
10 8
3 2 1
0 3 1
2 2 3
3 1 0
1 2 2
2 0 0
0 3 2
1 3 3
2 1 3
2 1 0
10 9
1 0 1
1 0 0
2 0 0
1 2 2
0 1 2
1 2 0
1 0 2
2 2 1
2 1 1
0 1 1
10 8
1 0 0
1 0 2
2 2 0
2 2 1
2 1 0
2 0 0
1 0 1
0 2 0
2 1 2
1 2 0
10 7
0 1 3
2 1 3
2 3 2
1 0 1
3 1 1
2 1 1
1 3 1
2 0 1
0 2 1
2 2 2
10 3
3 1 1
0 1 3
3 2 1
3 1 3
2 0 0
3 0 2
3 0 1
0 1 2
0 0 1
1 0 0
10 9
3 0 1
0 1 1
0 3 1
0 3 3
1 1 2
0 0 1
3 0 0
3 3 3
0 2 0
0 2 3
10 6
1 2 0
2 0 1
0 2 0
2 1 2
1 0 0
0 1 1
0 0 2
0 2 1
2 1 0
0 0 0
10 7
2 1 1
1 0 1
2 2 1
2 1 0
0 1 0
2 2 2
1 0 2
1 1 2
2 1 2
0 0 1
10 3
0 2 0
0 0 1
1 3 2
0 0 3
2 2 1
2 3 2
2 1 3
2 3 1
1 3 0
2 3 0
10 3
2 0 2
2 0 0
0 0 0
1 1 1
1 1 0
0 1 1
1 0 1
0 2 1
1 0 0
1 2 0
10 8
2 1 1
1 0 0
0 1 0
2 0 0
0 0 0
1 0 1
1 2 2
0 0 2
2 1 2
2 0 2
10 4
3 2 3
0 3 2
0 2 2
2 1 3
3 2 2
2 1 0
2 2 2
1 1 1
3 0 0
0 2 0
10 3
1 2 2
1 1 0
0 2 0
1 0 0
0 1 2
0 1 0
0 1 1
2 2 1
1 2 1
1 1 1
10 6
3 2 2
3 2 0
0 3 2
0 3 0
2 3 2
0 0 2
1 0 1
0 1 3
2 1 2
2 3 1
10 8
0 3 1
3 0 1
1 2 0
2 2 2
0 0 3
0 2 3
0 2 1
1 1 0
2 0 1
2 2 3
10 3
1 0 1
1 2 0
1 0 2
0 0 0
2 2 2
1 1 2
2 1 1
0 0 1
1 0 0
0 2 2
10 3
1 2 0
2 0 3
0 1 0
2 3 3
0 1 3
3 2 1
3 0 1
3 1 1
3 1 3
0 0 1
10 2
3 0 3
1 3 0
1 2 1
2 3 1
3 2 2
0 1 3
3 2 0
0 0 2
2 1 0
3 3 1
10 8
2 2 1
2 0 3
3 2 3
1 1 2
3 0 3
3 2 0
1 0 3
3 3 0
3 0 1
0 3 0
10 5
1 0 1
2 2 2
1 0 0
2 1 0
1 2 1
1 2 2
0 0 1
0 1 2
2 1 2
0 1 0
10 3
1 0 2
0 0 3
1 3 2
2 3 3
2 3 0
3 0 1
0 2 1
1 0 0
1 1 0
0 3 2
10 6
1 2 2
1 0 2
2 0 2
1 2 1
0 2 0
2 1 0
2 2 1
2 1 2
0 1 2
0 2 2
10 5
2 2 3
0 3 0
2 1 2
2 0 2
2 0 0
1 0 0
1 2 0
1 2 3
0 1 3
2 3 2
10 5
0 2 2
0 1 2
1 1 0
0 2 0
1 2 2
2 0 2
1 2 0
1 2 1
2 2 1
2 0 0
10 8
3 0 2
0 2 1
1 0 1
0 3 2
3 3 3
0 0 0
2 3 2
2 0 2
3 1 0
1 2 1
10 2
3 1 0
1 3 2
1 1 1
0 1 1
2 3 2
0 2 1
2 0 0
1 1 0
3 1 3
0 2 0
10 9
1 0 0
0 2 1
2 0 0
0 0 1
2 2 2
0 2 0
0 1 2
1 0 1
0 0 0
0 2 2
10 3
3 0 1
3 2 2
1 3 0
2 0 3
0 1 3
3 0 0
0 2 3
2 2 0
0 3 2
3 1 2
10 9
1 2 0
2 2 0
1 0 1
0 2 1
1 1 0
1 0 2
0 1 2
2 1 1
0 0 2
0 2 2
10 6
2 0 0
2 1 2
1 2 2
0 1 2
2 1 0
1 2 1
1 0 1
1 1 1
0 1 0
0 0 1
10 3
0 0 1
2 2 0
1 1 1
0 2 2
2 1 1
0 1 1
2 1 0
0 0 2
1 0 0
0 2 1
10 2
0 3 3
1 1 3
2 1 1
0 2 2
3 3 2
0 0 3
1 0 0
2 1 3
0 1 2
2 3 1
10 6
1 1 0
2 2 1
2 0 1
0 2 3
3 2 3
1 1 1
2 1 0
2 3 0
2 3 2
3 3 0
10 2
1 2 2
2 2 0
0 0 1
0 0 0
1 2 0
2 0 2
2 0 0
1 2 1
2 1 1
2 1 0
10 2
1 1 0
1 0 1
1 1 2
2 1 1
0 2 2
2 1 0
1 2 1
2 0 2
2 2 2
2 2 1
10 3
2 2 2
0 0 3
2 2 1
2 1 0
3 2 2
3 3 2
1 2 3
2 0 2
1 0 0
2 0 3
10 4
1 3 3
0 1 0
0 3 1
1 1 0
2 3 3
2 0 2
0 1 1
1 2 3
1 3 1
2 1 0
10 9
1 1 2
0 1 1
2 0 2
0 2 0
1 2 2
2 2 1
1 2 1
0 2 1
1 0 1
0 0 2
10 9
0 0 2
2 1 0
1 3 3
0 2 0
3 0 1
2 0 3
0 3 1
0 2 1
0 0 3
2 2 1
10 4
2 0 3
1 2 2
2 3 1
1 1 0
2 3 3
2 1 1
2 1 2
3 3 0
3 0 2
1 2 0
10 3
0 2 1
0 0 1
2 1 1
1 0 1
1 1 2
2 1 2
0 2 2
1 1 1
2 0 2
2 2 2
10 7
1 2 0
0 1 1
2 0 2
0 3 3
2 2 0
3 0 0
3 2 1
0 2 0
3 3 3
3 3 0
10 2
1 1 1
3 1 3
2 2 2
2 3 1
3 3 1
0 0 0
0 1 1
3 0 3
3 1 1
3 3 0
10 2
2 1 0
1 2 1
1 2 2
0 0 1
2 2 1
0 0 0
2 2 2
0 2 1
0 0 2
2 0 1
10 7
1 0 2
2 2 2
0 0 1
2 0 1
0 1 1
0 1 0
2 1 2
1 2 1
2 1 1
1 1 0
10 5
0 3 3
1 2 0
3 2 0
3 3 1
2 0 2
1 1 0
1 3 1
1 0 3
0 1 1
2 2 2
10 5
2 1 2
3 1 1
3 2 2
2 3 3
1 3 2
2 0 2
2 1 0
2 1 3
2 2 0
3 3 0
10 8
1 0 2
1 2 2
3 0 2
1 2 1
0 3 2
1 1 3
0 2 1
0 1 3
2 0 3
3 2 3
10 9
2 1 1
2 2 0
1 1 0
0 0 1
1 2 2
1 2 1
2 1 0
2 2 2
1 0 0
1 0 1
10 4
0 2 2
0 0 1
1 0 2
0 2 0
2 1 1
0 1 1
1 2 2
2 2 0
1 1 0
1 2 0
10 8
0 3 1
2 3 3
3 2 3
1 0 2
3 0 3
0 3 0
1 0 3
1 1 0
2 3 2
3 0 1
10 3
2 0 2
2 1 2
1 0 2
1 2 2
2 2 1
0 2 2
1 1 0
2 0 0
0 2 0
1 2 0
10 2
1 2 1
1 0 2
1 2 0
2 0 0
0 1 1
0 2 0
0 2 1
1 2 2
0 1 2
1 1 1
10 5
2 0 1
2 1 0
1 0 0
2 0 0
1 1 0
0 2 0
2 2 0
2 1 2
0 2 2
0 0 2
10 8
0 1 2
1 1 3
0 3 1
0 2 3
2 1 3
2 0 1
1 3 2
2 1 2
0 0 1
1 3 0
10 4
0 2 0
0 1 1
2 1 3
1 1 0
0 0 2
3 1 1
3 0 3
3 3 1
3 2 3
3 0 2
10 7
2 1 2
2 0 1
0 2 2
2 2 1
1 1 0
0 1 0
1 2 0
1 1 2
0 0 1
1 0 0
10 6
0 0 0
2 2 0
1 0 0
1 0 1
1 2 2
0 2 2
1 1 0
0 2 1
2 0 2
0 1 1
10 7
3 1 0
0 3 3
3 2 1
3 1 2
3 0 3
1 2 0
1 0 2
2 1 2
2 0 2
2 1 1
10 8
3 2 2
3 1 3
2 1 0
2 2 3
3 3 2
0 2 2
2 0 3
2 0 2
3 3 0
0 0 2
10 7
2 0 0
0 2 3
2 1 2
1 2 1
2 2 1
0 0 2
1 0 3
3 0 2
2 1 0
1 2 2
10 7
0 1 0
3 0 1
3 3 1
3 0 3
0 0 2
0 2 2
1 3 2
1 0 3
1 1 2
0 3 0
10 2
1 3 3
2 1 3
2 0 3
1 1 2
2 0 2
2 1 1
0 0 2
1 0 2
0 1 1
2 2 1
10 2
2 2 1
0 3 3
0 2 0
2 3 3
0 1 2
1 1 2
3 3 3
1 0 3
0 3 1
1 1 3
10 9
1 1 3
0 1 3
1 3 1
3 1 2
2 1 2
0 3 1
2 0 1
1 3 0
2 1 1
0 0 0
10 3
1 1 2
1 0 1
0 1 2
2 0 1
2 2 2
1 2 1
2 1 1
0 0 0
0 2 0
2 1 2
10 4
3 2 1
3 0 0
0 3 1
2 3 0
2 2 1
1 1 1
0 3 2
0 1 1
0 2 0
1 1 0
10 4
0 3 1
2 2 3
2 1 3
0 2 3
3 3 0
1 0 2
0 0 3
2 3 0
2 0 2
3 0 1
10 4
0 2 1
0 1 1
1 0 0
2 2 2
2 1 0
1 1 0
1 0 2
1 2 1
0 1 2
1 2 2
10 7
2 2 0
1 2 3
3 3 1
1 1 1
1 3 3
3 2 0
0 2 1
1 0 0
0 3 1
2 1 2
10 9
2 2 1
0 1 0
0 0 0
2 2 2
2 1 1
2 0 2
2 0 1
0 0 2
2 1 0
0 1 1
10 4
3 3 0
0 3 0
0 0 2
0 3 1
2 1 0
2 3 2
1 2 1
0 2 3
2 0 2
1 1 3
10 3
0 2 0
0 2 1
0 0 2
0 2 2
1 2 2
0 1 0
1 0 2
1 1 1
1 0 0
2 0 0
10 7
2 2 0
0 0 0
2 0 0
0 2 0
0 0 2
1 1 0
2 2 2
2 1 0
0 1 0
1 2 1
10 9
0 1 2
2 1 1
2 2 0
2 0 1
0 2 0
0 2 1
1 1 1
2 2 2
2 0 0
2 1 0
10 4
1 1 0
2 0 3
2 3 1
3 3 3
2 2 0
0 3 2
0 1 3
0 1 1
1 0 1
3 0 2
10 3
2 0 0
0 1 0
2 2 2
0 0 1
2 2 1
0 2 0
1 2 1
2 1 0
2 0 2
0 0 2
10 8
2 2 1
1 3 1
0 0 0
3 1 1
2 2 3
0 2 0
2 2 2
0 3 3
3 3 0
3 1 2
10 5
3 2 0
1 2 2
0 1 0
0 0 1
3 3 3
0 2 1
2 2 2
0 1 2
0 0 0
0 0 3
10 9
2 1 2
1 1 0
0 0 0
2 2 0
1 2 0
2 0 0
1 1 2
0 1 1
1 0 2
1 1 1
10 2
3 1 1
3 2 0
3 1 3
1 1 0
3 0 3
1 0 1
3 3 0
1 2 1
0 2 1
3 2 1
10 5
2 0 0
0 2 3
3 2 2
0 0 1
1 2 2
3 2 0
0 1 0
2 1 2
2 3 1
3 2 1
10 8
3 1 2
1 0 3
2 0 0
1 2 3
3 0 2
2 0 3
1 1 2
0 3 0
1 0 0
0 2 0
10 9
3 2 3
2 3 0
1 0 1
2 2 1
3 3 2
3 1 2
3 0 2
0 3 1
0 1 3
0 3 0
10 3
3 1 3
1 3 2
3 2 3
3 3 0
0 3 0
0 1 2
0 3 3
0 0 1
2 1 0
3 2 0
10 6
1 2 2
0 2 2
0 0 1
2 1 0
0 0 2
2 2 2
1 1 1
1 2 1
0 0 0
1 0 2
10 2
1 2 2
3 3 0
1 3 0
3 3 1
2 3 3
3 3 2
3 1 1
0 0 2
3 1 3
2 0 3
10 3
1 2 2
0 2 1
2 0 0
2 1 2
2 1 1
2 0 2
1 0 2
0 0 1
1 0 0
2 0 1
10 9
1 1 2
1 1 0
2 0 1
1 2 1
2 2 1
1 2 0
0 0 1
0 1 1
2 2 0
0 0 0
10 8
1 2 1
2 0 1
0 0 1
2 0 2
1 0 1
2 0 0
0 2 1
0 2 2
2 2 2
0 1 2
10 7
1 0 0
2 2 2
3 2 1
1 2 2
0 1 3
1 1 0
0 0 0
1 3 3
3 2 3
0 2 0
10 4
2 2 1
0 0 2
1 2 2
1 0 0
0 1 0
0 2 0
2 2 0
0 1 1
1 0 1
2 1 2
10 7
0 2 1
0 2 2
1 2 1
1 2 2
2 0 0
2 1 1
0 0 0
0 1 1
0 1 2
1 0 2
10 4
0 0 2
2 2 1
2 2 0
2 0 0
1 0 0
0 1 1
1 1 1
1 1 2
0 2 2
1 2 1
10 5
2 1 0
2 0 2
0 0 3
0 0 1
2 2 1
3 2 3
3 1 2
3 3 0
1 0 2
2 2 2
10 6
1 2 1
2 2 2
0 1 0
0 0 1
0 1 1
2 1 2
0 2 0
0 0 0
2 0 0
2 2 1
10 6
2 2 2
1 3 3
1 0 2
2 1 1
1 2 2
3 3 2
0 3 3
1 3 0
3 2 3
2 0 1
10 7
0 1 2
2 0 0
2 1 0
0 2 0
1 1 1
2 0 1
1 1 0
0 2 1
0 1 1
0 0 2
10 4
3 2 2
3 3 3
1 3 0
1 2 0
1 2 2
0 3 3
3 1 0
1 0 3
0 2 3
2 0 2
10 3
2 0 2
1 1 1
1 0 2
3 0 1
2 3 2
1 3 0
0 2 1
0 0 0
1 3 3
2 3 1
10 2
1 1 0
1 2 1
2 0 2
2 1 2
0 0 0
0 0 2
1 1 2
2 1 0
2 0 0
1 0 2
10 2
2 2 1
3 0 0
3 2 2
0 1 2
2 1 0
2 1 3
1 3 1
0 2 2
1 2 3
3 3 2
10 9
1 1 1
2 1 2
0 0 2
0 0 1
1 1 2
0 0 0
1 1 0
1 0 1
0 1 0
0 2 0
10 7
3 2 0
3 3 1
0 2 2
3 1 2
1 1 1
1 0 2
1 3 2
3 1 0
1 2 3
2 0 3
10 4
2 2 0
3 0 0
0 1 2
1 1 1
1 3 3
1 1 3
2 0 3
2 3 0
3 2 2
0 2 2
10 2
2 2 2
2 1 3
1 2 2
2 3 0
3 2 3
2 0 3
1 2 1
0 2 2
2 0 0
3 2 0
10 8
1 0 1
2 1 0
0 2 1
0 1 2
0 0 2
1 1 2
1 1 1
2 0 1
2 1 1
2 0 0
10 9
2 1 2
0 1 1
0 2 2
0 0 0
1 2 1
1 0 1
0 0 2
1 1 0
0 1 0
2 0 2
10 3
0 3 1
0 2 0
3 1 0
3 2 2
3 3 2
3 3 0
2 2 1
0 0 3
1 2 3
3 0 2
10 3
1 3 1
0 2 0
0 0 2
3 1 1
2 0 0
1 1 2
1 1 1
1 2 0
2 3 2
1 2 1
10 8
1 1 2
0 2 1
1 0 1
2 2 0
2 1 2
2 1 1
1 2 1
2 2 2
1 2 2
0 1 0
10 9
0 3 0
0 1 0
0 1 1
3 2 2
1 2 3
2 2 3
2 2 1
2 3 3
3 3 3
2 3 1
10 4
0 1 2
1 1 1
0 1 1
2 0 1
0 0 2
2 0 0
0 1 0
2 2 0
0 2 2
1 2 1
10 2
2 0 1
2 0 2
0 1 1
1 2 0
2 2 2
0 2 0
0 2 1
2 0 0
1 0 2
0 2 2
10 3
1 1 0
0 0 0
1 1 2
0 2 0
3 1 3
2 1 2
1 3 3
2 3 2
0 1 2
3 3 0
10 2
2 1 2
0 2 0
1 1 1
1 0 2
0 1 0
2 0 2
2 1 1
0 0 2
0 2 1
1 2 2
10 3
1 0 3
0 0 0
2 3 2
0 2 1
2 1 2
2 3 1
3 1 0
1 3 1
3 2 2
1 1 1
10 5
1 3 1
2 0 0
0 2 1
2 0 3
0 3 3
1 0 1
2 1 0
3 2 3
3 0 0
1 2 2
10 4
1 3 0
0 0 1
0 0 0
1 0 1
0 1 0
1 1 1
1 2 3
2 3 3
1 3 3
3 3 1
10 3
1 0 0
2 2 1
2 2 0
1 0 2
0 1 1
1 1 2
0 0 1
2 0 2
0 1 2
2 0 1
10 8
3 2 0
3 3 0
1 2 0
2 2 3
2 2 0
2 2 2
1 2 2
3 1 0
3 1 3
1 1 1
10 7
1 0 0
2 0 1
2 2 1
2 0 2
1 1 0
0 0 2
0 2 2
1 2 0
1 2 1
2 1 1
10 7
1 0 2
0 2 2
1 2 2
0 1 1
2 2 1
2 2 0
2 2 2
2 0 0
1 2 0
0 2 1
10 9
2 2 2
1 0 1
1 2 1
1 1 0
0 0 2
2 1 2
0 2 2
0 1 2
1 0 0
2 2 1
10 7
1 1 2
3 2 2
2 0 1
3 0 3
2 3 3
2 0 3
0 1 2
2 2 0
3 0 0
0 3 2
10 8
0 1 2
2 2 0
2 1 1
0 3 1
2 3 0
3 0 3
1 3 0
1 2 0
2 1 0
0 0 2
10 6
1 1 0
0 0 0
1 2 0
1 0 1
2 0 0
1 1 1
1 2 2
2 1 2
0 0 1
1 2 1
10 6
2 2 2
0 2 1
0 0 1
0 0 0
0 1 0
0 2 0
1 2 0
0 1 2
2 2 1
2 1 1
10 8
1 0 1
2 0 0
0 0 2
0 1 1
1 0 2
1 1 2
1 2 2
1 2 0
0 2 0
0 2 2
10 2
2 1 2
1 0 1
2 1 3
0 3 1
1 0 3
3 2 1
2 0 3
0 2 2
2 2 0
3 2 3
10 2
0 0 1
1 0 0
0 1 2
0 1 0
0 2 0
1 1 1
1 1 0
1 2 1
2 0 0
0 2 2
10 3
3 2 2
2 3 0
2 3 3
0 3 3
0 0 3
0 0 1
2 0 2
3 2 1
0 0 2
1 3 0
10 3
3 3 1
3 3 2
2 2 1
0 3 2
0 1 3
2 3 3
0 2 0
2 0 2
0 2 3
0 3 0
10 6
3 2 2
2 2 3
0 0 1
0 2 3
0 1 1
0 1 3
1 1 2
2 0 0
3 0 3
2 1 0
10 4
0 0 0
1 2 0
0 1 2
1 2 1
2 0 2
2 1 1
0 2 2
0 1 0
2 0 0
2 2 0
10 2
2 2 0
0 3 0
2 1 0
1 0 0
2 1 3
0 0 0
2 0 2
1 0 3
3 2 3
0 3 3
10 6
1 1 2
3 1 0
1 2 1
0 3 2
2 2 0
2 3 0
3 1 1
0 3 3
3 2 3
1 2 2
10 3
0 2 2
0 0 0
2 2 2
2 1 2
2 0 1
2 2 0
0 0 2
2 1 0
2 0 2
2 2 1
10 8
3 3 2
2 3 1
2 2 3
3 1 0
3 1 2
1 1 2
0 0 0
1 2 3
3 2 3
0 2 1
10 6
1 1 0
2 0 0
2 2 2
1 1 2
0 0 1
2 2 1
0 0 0
0 1 1
2 0 1
0 1 2
10 7
2 3 3
0 1 0
3 3 3
0 2 1
3 1 0
1 1 2
2 3 1
1 3 3
1 1 0
1 2 2
10 5
2 2 2
0 0 0
0 1 2
1 1 2
0 2 0
2 1 0
1 1 1
0 2 2
2 0 1
0 2 1
10 8
2 1 3
2 0 1
2 2 0
1 2 2
0 0 3
1 0 0
0 0 2
1 3 0
3 1 3
0 2 0
10 4
0 2 1
1 0 2
2 0 0
0 1 2
1 2 1
0 2 2
1 2 0
2 2 1
0 0 0
1 0 0
10 2
0 1 2
1 0 1
2 2 1
0 2 2
2 2 2
0 2 1
2 1 2
2 1 1
2 0 0
1 2 2
10 9
0 2 2
2 1 1
1 1 2
2 2 0
1 1 0
1 2 0
2 1 0
1 1 1
1 2 1
0 2 0
10 5
0 1 1
0 1 2
0 2 0
2 0 2
2 1 1
0 2 2
0 0 0
2 0 0
1 2 1
1 0 2
10 8
3 3 2
0 3 0
2 0 0
3 2 2
0 0 3
3 1 2
3 2 3
3 2 0
2 3 0
3 0 0
10 9
0 1 3
1 0 3
0 2 3
0 1 2
2 0 1
3 2 0
1 0 1
3 2 1
0 1 1
0 2 1
10 4
1 0 1
0 3 2
0 1 0
3 0 2
1 2 2
1 2 1
2 0 1
0 2 0
1 3 3
2 1 0
10 5
2 0 1
0 0 0
0 2 1
1 1 1
2 2 2
1 0 2
2 2 0
0 2 2
2 1 1
1 2 0
10 8
0 1 1
1 0 2
1 2 0
1 1 2
1 1 0
2 2 0
0 2 2
1 2 1
2 0 0
1 0 1
10 3
2 1 0
2 2 0
0 2 1
1 2 1
1 1 2
0 3 3
3 3 2
1 0 2
1 2 0
0 3 2
10 8
2 1 1
1 2 1
0 2 1
2 2 1
2 0 2
1 2 0
1 1 1
0 1 2
2 2 2
2 1 0
10 8
1 1 0
3 0 0
2 0 0
1 1 1
0 3 0
3 3 0
1 0 2
0 2 1
2 1 2
0 0 3
10 3
1 1 1
0 3 3
1 0 3
0 1 0
2 3 0
1 0 1
3 2 1
0 2 1
1 3 3
3 2 3
10 4
0 2 0
3 1 3
1 1 1
3 3 3
0 3 2
1 0 3
1 2 3
2 0 3
0 1 2
3 3 1
10 4
2 2 0
2 2 2
1 2 2
1 2 1
0 2 2
0 1 2
2 0 1
2 0 2
2 1 0
0 1 0
10 7
0 2 0
1 1 0
0 0 2
0 1 1
1 0 0
1 2 0
2 1 0
2 0 0
2 1 2
0 2 2
10 5
1 2 0
2 0 1
2 2 0
1 0 1
2 1 0
2 1 2
2 2 1
1 1 1
1 2 1
0 0 1
10 4
1 2 1
0 1 2
0 2 1
2 2 2
1 2 2
0 1 1
2 0 2
1 2 0
1 1 2
0 0 2
10 5
0 0 2
2 1 0
0 2 1
0 0 1
2 0 1
2 1 1
2 0 0
1 1 0
2 1 2
2 0 2
10 4
1 0 2
0 2 0
2 2 0
2 1 0
2 0 0
1 2 1
0 1 2
1 0 0
2 0 2
2 2 1
10 9
2 0 1
1 1 1
2 2 1
0 2 2
3 1 2
0 1 0
2 2 3
2 1 0
3 0 0
1 3 0
10 6
1 2 2
0 1 1
2 1 1
2 2 0
1 2 0
0 2 1
0 0 1
2 1 2
1 2 1
0 2 0
10 4
3 0 0
0 2 1
1 1 1
1 1 3
2 0 0
0 3 0
1 0 1
1 0 2
3 1 3
3 3 3
10 2
2 0 1
1 2 2
1 0 1
0 2 0
0 0 2
2 2 1
2 0 2
1 0 2
0 1 1
1 2 0
10 8
0 0 2
2 1 0
1 2 3
3 1 1
1 0 1
3 0 2
2 3 1
3 2 3
0 0 0
1 0 0
10 2
1 0 0
3 2 3
2 0 2
3 3 0
3 0 1
0 1 1
2 2 3
1 3 3
2 3 0
1 0 3
10 9
1 2 2
0 0 1
2 0 0
0 0 0
1 2 0
0 1 0
1 0 1
2 2 0
2 0 2
2 1 1
10 6
3 3 0
0 3 3
0 1 2
0 2 2
2 3 0
1 0 1
2 3 3
2 2 2
3 0 2
3 1 0
10 3
0 1 2
2 0 1
2 1 1
2 1 2
1 1 2
0 2 1
0 1 0
1 1 1
0 0 1
1 2 2
10 3
0 1 1
0 0 0
1 0 2
1 2 2
1 2 1
1 1 1
2 2 1
0 0 1
2 0 1
0 0 2
10 6
2 1 0
2 1 1
0 0 2
2 0 2
0 2 2
1 0 0
0 2 1
1 0 2
2 0 1
0 0 1
10 3
2 0 2
3 2 3
1 1 2
1 2 0
0 0 1
2 1 0
1 1 3
3 3 1
2 3 0
0 3 3
10 3
1 2 2
0 0 0
2 1 2
1 1 0
1 2 1
2 2 1
2 0 0
1 0 0
1 1 1
0 2 0
10 5
0 2 2
2 2 2
1 2 1
2 2 0
2 0 0
1 1 2
0 1 1
0 2 1
2 0 2
2 1 0
10 9
1 0 2
0 2 2
1 0 0
0 2 0
1 2 0
1 1 2
1 0 1
2 2 1
0 1 2
2 1 2
10 4
1 3 3
3 0 0
3 0 1
1 3 0
3 2 3
0 3 1
2 0 3
1 1 3
3 1 1
1 1 2
10 7
0 1 1
0 2 0
0 2 1
0 2 2
1 2 2
1 0 0
2 2 1
0 1 2
2 1 2
1 2 1
10 6
0 2 2
1 2 1
1 1 2
2 2 1
1 0 1
2 0 2
0 2 1
1 1 1
1 2 2
2 0 0
10 6
1 2 1
3 0 0
3 0 2
1 2 3
2 1 0
3 2 2
0 3 3
0 3 1
0 1 2
1 1 0
10 8
1 1 2
1 2 2
0 2 1
1 0 1
2 2 2
2 1 0
1 2 1
1 1 1
0 1 1
1 0 0
10 2
3 3 3
0 2 0
3 0 2
1 1 2
3 3 1
0 0 0
0 1 0
2 2 3
1 3 1
3 1 3
10 6
2 1 1
2 2 3
2 3 3
3 1 0
2 3 2
3 3 0
0 3 2
3 0 1
2 1 2
2 3 1
10 6
3 2 1
0 0 2
3 3 0
2 2 1
3 0 3
3 1 1
3 0 2
3 1 2
3 1 3
1 0 0
10 5
2 2 1
0 1 0
0 3 0
1 3 3
2 0 3
3 2 1
1 2 2
2 3 3
3 1 1
3 2 0
10 5
0 1 0
0 1 1
0 0 2
1 2 1
2 2 0
0 2 0
1 0 1
1 1 0
2 1 2
2 0 1
10 9
2 0 2
0 0 2
0 1 1
2 0 1
1 0 0
0 2 1
0 0 0
2 2 1
1 2 0
0 0 1
10 2
2 0 1
1 0 0
2 3 1
0 3 1
3 0 3
1 0 1
2 2 3
0 0 1
3 0 1
0 1 0
10 3
0 1 1
0 2 2
2 0 2
2 0 1
0 0 0
0 2 1
0 0 2
0 2 0
2 2 1
0 0 1
10 4
1 2 0
1 2 2
0 0 2
0 1 2
1 0 1
1 2 1
2 0 0
0 0 1
0 1 0
2 2 1
10 7
0 1 3
2 2 2
3 0 2
3 2 3
3 1 2
2 1 3
3 1 1
1 3 3
2 0 2
2 2 3
10 5
1 1 0
0 0 1
2 0 1
1 0 1
0 2 2
0 1 1
2 2 1
2 2 2
0 0 0
2 1 0
10 5
2 2 1
0 1 1
1 1 0
1 1 1
2 0 0
2 2 2
0 1 0
2 2 0
1 1 2
0 0 2
10 7
0 2 1
0 1 1
0 0 0
1 2 2
1 0 2
2 1 0
2 1 1
1 2 1
0 2 2
0 2 0
10 5
2 0 1
2 0 2
2 1 1
2 2 2
0 0 2
0 2 0
2 2 0
0 1 1
0 2 1
0 1 2
10 2
1 2 3
3 3 2
3 3 0
3 3 1
2 3 3
0 2 1
1 1 2
1 3 2
1 2 2
1 3 3
10 8
1 2 1
1 1 2
2 0 2
2 0 0
2 1 1
2 2 2
1 0 1
0 0 0
1 2 2
2 2 1
10 6
0 3 3
1 3 2
0 2 0
0 1 2
3 1 1
0 0 3
1 2 1
3 3 0
1 2 3
2 0 1
10 5
1 0 2
2 2 1
1 1 0
1 2 1
0 2 1
0 1 1
1 2 0
2 0 1
2 2 0
2 1 2
10 7
0 0 0
0 2 3
3 0 3
1 1 0
1 0 0
1 2 0
2 0 3
3 1 3
2 1 1
2 3 0
10 3
2 1 1
1 1 1
2 1 0
1 2 1
2 0 0
2 2 1
2 1 2
0 1 1
2 2 0
1 0 1
10 5
3 3 3
1 3 1
3 2 0
0 0 1
2 2 1
3 0 3
2 3 3
3 2 3
0 0 3
1 3 0
10 6
2 2 1
0 3 0
0 0 0
2 3 1
2 0 0
2 2 0
0 0 1
3 1 0
1 0 0
3 3 0
10 2
3 2 3
3 3 1
2 2 0
2 3 2
3 0 2
3 2 0
2 1 2
1 1 1
0 0 3
1 2 0
10 2
0 0 3
2 3 0
1 0 0
3 2 0
3 0 1
2 3 1
2 0 1
1 0 3
3 0 3
2 0 0
10 4
1 1 0
2 1 0
0 0 0
2 1 1
1 2 0
1 2 1
2 1 2
0 0 1
0 1 2
0 2 2
10 7
2 2 2
3 0 1
2 1 1
0 2 0
1 1 3
2 3 0
2 2 1
2 3 2
1 2 3
3 1 3
10 3
2 0 2
3 2 2
0 3 0
3 3 1
1 1 2
0 0 0
3 0 1
2 1 0
2 3 2
1 2 3
10 9
3 1 1
2 2 0
1 1 0
1 3 2
2 2 2
1 3 0
2 0 3
1 3 1
2 1 3
1 2 1
10 9
3 0 2
1 0 3
3 1 2
0 0 1
0 1 3
0 3 1
1 1 0
0 3 0
2 1 0
0 0 3
10 8
0 2 2
2 2 1
1 2 2
2 2 0
2 1 0
0 1 0
1 1 0
1 0 2
2 0 0
0 0 2
10 9
1 2 1
2 0 0
0 0 1
0 0 2
1 0 2
1 1 1
0 2 0
0 2 1
2 1 2
1 1 0
10 8
1 2 1
2 0 0
2 1 1
0 1 0
0 2 0
0 0 0
2 0 1
1 2 2
2 2 0
2 1 0
10 7
0 0 2
0 2 1
1 1 1
1 2 1
0 0 1
2 2 0
0 1 1
0 1 0
2 2 2
2 0 1
10 4
3 1 1
1 0 1
0 3 1
3 1 0
2 0 3
2 0 0
0 3 2
2 2 2
0 3 3
2 2 1
10 5
2 1 0
1 2 2
0 0 0
0 1 1
0 1 0
0 1 2
1 0 2
1 1 0
2 2 1
0 0 2
10 5
2 2 2
1 1 1
2 2 1
1 1 2
2 0 1
0 1 0
1 0 1
2 1 0
2 1 2
0 0 1
10 2
1 1 2
1 2 1
1 0 0
2 3 1
0 3 0
1 2 3
1 3 1
1 1 3
0 0 2
2 3 0
10 8
3 2 1
0 2 1
1 2 3
2 3 3
0 2 2
0 2 0
3 0 1
1 3 0
0 3 2
2 0 0
10 3
3 1 2
3 0 0
3 1 3
3 3 1
3 1 0
0 0 3
0 1 3
3 1 1
2 2 0
3 2 1
10 8
0 0 2
2 3 2
1 2 2
3 2 1
3 0 1
1 1 1
3 3 3
0 0 3
3 0 3
1 0 2
10 4
2 3 0
1 3 1
1 1 2
3 0 3
0 0 2
0 1 2
2 3 2
3 3 1
3 2 3
0 1 3
10 4
1 2 1
1 2 0
2 2 0
1 0 2
1 1 2
1 0 0
2 2 1
2 0 1
0 1 2
0 0 1
10 2
0 0 0
1 2 1
2 0 0
1 1 2
0 1 2
0 1 0
1 0 2
2 2 2
2 1 1
2 2 0
10 7
1 1 1
1 1 0
2 0 2
2 2 2
1 2 0
1 1 2
1 2 2
2 1 0
2 2 0
1 2 1
10 4
1 0 2
0 1 3
1 3 0
3 0 3
3 1 0
0 3 2
2 0 0
1 1 1
1 3 3
3 2 1
10 9
1 1 0
2 0 2
0 1 2
2 2 1
2 1 2
2 2 0
0 0 1
2 1 1
2 2 2
1 1 2
10 7
1 0 0
0 0 2
0 1 0
1 2 0
2 2 0
2 2 1
0 1 2
2 1 1
1 1 0
1 2 1
10 9
0 2 2
3 1 3
1 1 0
3 0 0
2 2 0
0 3 3
1 1 3
1 3 0
0 1 0
0 0 3
10 3
0 1 2
0 1 0
0 2 2
1 1 2
2 2 0
1 1 1
0 2 1
1 0 2
2 0 2
0 1 1
10 7
2 2 0
0 1 0
0 2 1
1 1 2
1 2 0
2 0 0
1 0 2
2 1 0
1 1 1
0 2 0
10 9
2 3 3
1 1 1
3 0 2
0 1 0
0 3 2
3 1 0
0 1 3
2 0 1
0 2 3
1 2 0
10 8
1 0 1
1 2 0
0 0 1
2 1 3
3 1 0
1 2 3
2 1 1
3 0 3
1 2 1
1 3 0
10 4
2 3 1
2 3 2
1 2 0
0 2 1
3 1 0
2 2 2
0 3 3
0 2 2
0 0 0
1 2 1
10 9
3 0 1
0 0 2
1 1 3
0 3 2
0 1 0
3 0 3
0 0 0
0 3 0
3 2 0
2 3 2
10 4
0 0 0
1 2 0
1 0 0
1 0 1
2 0 0
0 0 2
2 2 0
0 1 1
0 1 2
1 1 0
10 8
1 0 3
3 0 1
2 3 3
0 2 0
1 2 3
0 1 3
1 3 1
3 1 1
2 2 0
2 0 3
10 5
0 2 1
0 2 2
1 0 1
2 1 2
2 2 0
2 0 2
2 1 0
0 0 2
2 1 1
1 2 0
10 5
0 2 0
2 3 3
0 2 1
1 3 0
1 1 2
3 1 0
0 0 3
2 0 0
3 3 3
3 1 2
10 2
1 1 1
1 0 0
2 1 1
1 2 0
0 0 0
0 2 2
1 0 2
0 2 0
2 1 2
1 0 1
10 6
3 0 2
1 3 1
0 3 2
2 3 3
2 1 1
0 0 0
1 3 2
0 2 1
0 0 2
2 2 0
10 6
1 2 0
2 2 2
2 1 0
0 2 1
0 0 1
1 1 0
1 2 2
2 0 1
0 0 2
1 0 2
10 6
1 1 2
1 0 2
2 0 2
2 1 1
2 1 2
2 2 2
1 0 1
0 0 0
2 1 0
0 2 2
10 9
2 1 0
1 0 3
2 1 3
1 3 3
0 1 1
2 3 2
1 2 0
2 2 3
3 2 0
3 3 1
10 9
1 1 2
0 2 0
0 2 3
1 2 0
0 1 3
0 3 3
1 0 1
1 0 3
1 3 1
3 2 3
10 5
2 2 1
0 0 0
1 2 2
0 0 2
0 0 1
0 1 0
1 1 2
0 2 2
0 2 1
2 0 1
10 3
1 0 1
0 2 1
3 1 0
1 2 0
0 0 3
2 0 2
3 3 0
3 3 2
2 0 0
1 2 1
10 4
0 0 0
1 0 1
2 2 0
0 1 0
2 0 1
2 1 0
2 2 2
2 0 2
2 2 1
1 1 2
10 5
1 1 3
3 3 2
2 0 0
0 0 2
2 0 1
2 3 1
3 2 0
2 2 2
0 2 1
1 1 2
10 4
1 3 2
3 3 1
2 3 3
3 2 0
1 0 2
0 1 0
1 1 0
3 2 3
3 3 3
0 0 1
10 5
1 2 3
0 0 1
0 2 0
0 1 0
2 1 2
3 2 2
2 2 3
3 2 3
1 1 0
2 3 3
10 4
2 0 2
1 0 2
3 3 0
1 1 2
1 2 0
1 1 3
1 2 1
3 0 0
3 3 1
3 3 3
10 7
3 2 1
3 1 2
0 2 2
0 3 3
2 0 1
3 1 3
2 2 0
1 0 1
1 1 1
3 0 2
10 7
1 2 3
0 1 3
3 0 0
2 2 0
3 0 1
3 3 1
1 3 1
3 1 3
3 2 2
2 2 3
10 7
2 3 3
2 1 0
1 1 1
2 0 2
0 2 2
2 3 0
2 2 3
3 3 1
2 1 2
1 3 2
10 2
0 0 0
0 2 2
0 1 0
2 2 0
2 2 2
2 1 2
2 1 0
0 0 1
1 0 1
0 1 2
10 4
2 0 1
1 1 1
0 2 0
2 2 1
1 1 0
1 2 2
1 0 0
0 0 1
1 0 2
2 2 0
10 2
0 2 2
1 3 0
3 1 3
3 1 1
2 2 3
0 1 1
0 2 1
1 3 1
0 3 2
3 0 0
10 3
0 2 1
0 2 2
2 1 1
2 1 0
2 0 1
1 2 2
0 0 2
1 1 0
2 1 2
2 0 2
10 4
2 1 0
1 2 1
1 2 0
0 3 1
2 0 3
1 2 3
3 0 2
3 0 3
0 1 0
2 2 0
10 7
2 0 2
0 2 2
2 2 2
2 0 0
0 1 0
1 0 2
0 1 1
0 2 0
1 1 2
0 0 2
10 9
2 0 2
0 0 1
0 0 2
0 0 0
1 0 1
2 2 1
2 0 0
1 2 0
0 1 1
2 2 0
10 8
2 1 0
2 0 0
0 1 2
0 2 1
0 1 1
1 1 2
1 0 1
0 2 2
2 0 2
2 2 2
10 3
0 2 2
0 1 0
1 2 3
2 3 1
3 2 1
0 3 3
1 2 1
3 2 0
2 3 2
3 3 3
10 9
0 2 1
0 1 0
2 1 1
1 1 0
2 1 0
1 2 0
2 2 0
0 0 2
1 1 2
0 0 0
10 4
0 2 2
2 2 1
0 0 2
0 1 0
2 1 2
1 0 2
2 2 2
0 2 0
1 2 1
2 1 1
10 8
1 0 1
1 1 0
1 2 1
1 1 1
2 1 1
2 2 1
2 1 0
0 1 2
1 0 2
2 2 2
10 7
1 0 1
1 1 0
2 1 1
1 2 0
0 0 2
0 1 1
0 1 2
2 0 1
2 2 2
1 2 1
10 2
1 2 3
0 1 2
3 3 2
3 0 2
2 2 2
0 0 1
0 0 0
3 0 1
0 0 3
0 2 0
10 7
2 2 1
3 3 1
3 2 3
3 0 1
2 2 0
3 2 2
1 3 1
1 3 0
0 1 1
0 0 1
10 9
2 3 3
1 3 2
3 2 3
2 2 0
2 2 1
2 3 1
2 1 0
0 1 0
2 3 0
0 2 0
10 3
0 3 0
1 3 0
1 1 2
2 3 3
1 3 1
2 0 2
3 0 0
2 0 0
0 0 0
0 1 0
10 3
0 2 1
3 1 2
3 1 3
2 1 2
1 2 0
2 0 1
3 2 1
2 2 3
3 1 1
2 2 0
10 9
0 2 0
0 0 2
1 1 0
3 3 3
1 1 2
2 0 1
0 3 3
0 0 3
2 3 0
1 0 0
10 2
2 0 0
1 3 3
2 3 1
1 0 3
2 1 3
1 1 3
2 1 1
0 3 1
0 0 3
2 2 3
10 3
3 2 2
2 0 2
0 1 0
2 3 0
1 3 2
0 3 3
0 3 0
3 1 2
1 1 2
2 0 1
10 9
2 2 3
3 2 2
3 2 1
2 1 0
0 0 1
0 2 3
0 0 3
1 0 3
2 2 0
1 3 1
10 3
1 3 3
0 2 2
3 2 1
3 0 0
2 2 2
3 0 2
2 3 0
0 3 0
3 2 0
3 1 0
10 2
0 1 2
0 0 3
0 0 0
0 3 0
2 3 2
0 2 0
0 3 2
2 0 3
3 2 0
0 0 2
10 7
2 2 0
0 2 2
2 1 1
1 1 2
0 0 0
2 1 0
1 1 0
0 1 2
2 2 1
2 0 2
10 3
0 1 0
1 0 0
2 3 1
0 1 3
2 2 2
2 3 3
3 1 3
0 3 3
1 2 0
3 1 1
10 5
0 3 2
1 0 0
2 1 0
0 1 3
1 0 1
3 3 2
1 2 1
1 2 3
0 1 0
0 3 1
10 5
0 2 0
0 1 1
0 1 0
1 1 1
0 0 1
0 1 2
1 1 0
1 0 2
2 2 1
2 0 0
10 9
0 1 2
1 1 3
0 3 1
3 3 0
3 3 1
0 3 2
0 2 3
1 3 0
2 3 3
1 3 2
10 4
0 0 1
1 1 0
1 1 2
0 1 0
0 2 1
0 0 2
2 1 2
0 2 2
0 2 0
1 1 1
10 7
1 1 2
3 0 3
1 2 2
0 3 0
3 0 2
1 2 0
2 0 2
2 1 2
0 3 3
3 3 2
10 6
2 1 1
2 1 2
1 0 2
0 1 2
1 1 0
2 2 1
0 0 2
1 1 1
2 0 2
1 2 1
10 8
1 2 3
2 0 2
2 3 3
0 0 3
2 2 1
1 1 3
2 0 0
1 0 3
3 2 2
3 1 1
10 2
1 2 2
2 0 0
2 0 2
0 2 0
0 0 2
0 2 1
2 0 1
1 0 2
2 2 2
2 2 1
10 8
1 2 2
2 2 1
0 0 0
2 1 1
0 2 0
1 2 1
1 2 0
2 1 0
2 1 2
0 1 0
10 2
1 1 2
0 2 1
2 2 0
2 0 1
2 1 1
0 2 0
2 0 0
1 0 2
0 0 0
2 2 2
10 8
2 2 2
0 0 0
2 1 0
1 2 1
0 0 1
1 0 2
1 1 1
1 2 0
0 1 1
2 0 1
10 6
3 2 0
1 1 3
1 1 1
1 0 0
2 3 2
3 1 3
0 1 1
3 3 1
2 0 2
2 2 2
10 3
0 1 3
2 2 3
2 0 3
3 3 3
0 1 2
3 3 0
3 1 2
1 0 2
3 1 0
0 0 0
10 7
2 2 1
0 0 2
1 2 0
0 0 0
2 1 1
2 0 1
1 1 2
0 2 0
1 0 0
1 1 0
10 3
1 1 1
2 0 0
0 0 2
2 1 0
0 0 0
0 1 1
1 1 0
1 0 2
0 1 0
1 0 1
10 6
1 0 2
0 2 2
1 0 0
1 2 2
2 2 0
1 1 2
0 1 1
2 2 2
2 0 1
0 1 0
10 7
1 1 2
1 0 2
1 2 2
2 1 0
0 1 2
2 2 0
2 1 2
2 0 2
0 0 2
2 2 2
10 6
0 0 2
1 1 1
0 2 1
2 2 1
2 0 2
0 0 0
1 2 1
1 1 2
1 2 2
2 2 0
10 9
3 2 2
0 3 3
1 1 2
1 3 0
2 2 1
2 3 0
3 1 2
1 0 3
1 3 3
3 0 3
10 9
1 2 1
0 1 1
2 0 2
1 2 2
0 1 2
1 0 1
2 2 0
0 2 2
1 1 0
2 1 0
10 5
3 0 1
3 1 1
2 0 3
2 3 0
2 1 2
1 0 1
1 0 2
0 3 2
0 3 3
0 2 3
10 7
0 1 1
2 0 1
2 3 3
2 3 0
3 1 2
1 0 3
1 0 1
1 1 3
1 2 1
1 2 3
10 3
0 0 1
0 1 3
3 3 0
3 1 0
2 3 0
0 0 0
0 3 3
0 2 2
2 2 1
2 2 2
10 2
1 2 0
0 0 1
2 1 1
2 2 2
2 0 0
1 1 1
1 2 2
2 0 2
0 2 2
0 0 2
10 4
1 2 0
1 1 1
2 2 2
2 1 0
0 1 0
2 0 0
1 2 2
1 0 1
0 1 1
0 2 2
10 2
1 0 0
1 2 2
0 0 1
1 2 1
2 0 2
2 2 1
2 2 0
2 1 0
0 1 2
1 0 2
10 8
1 0 3
3 1 0
3 2 2
2 3 1
0 2 2
2 0 0
1 0 1
1 3 0
0 0 3
3 2 3
10 7
0 2 2
3 0 1
2 2 3
2 0 3
1 3 2
0 2 1
3 2 2
1 3 1
3 3 1
1 1 0
10 6
2 0 0
2 1 2
0 2 1
2 2 1
1 0 2
0 2 2
0 1 0
1 0 1
2 0 1
1 1 0
10 9
0 1 2
2 2 0
1 1 2
1 2 0
1 2 1
2 1 0
0 2 0
2 1 1
0 1 1
0 1 0
10 3
2 0 2
0 2 2
2 0 0
1 1 1
1 2 1
0 1 0
0 1 2
2 2 2
2 2 0
2 1 1
10 8
2 1 0
1 2 1
2 1 3
3 1 2
3 1 3
2 3 1
1 0 1
2 0 3
0 3 0
1 3 3
10 5
2 0 2
0 2 0
1 2 0
3 1 1
1 1 3
3 2 3
3 3 2
0 2 3
1 2 2
3 1 0
10 4
0 3 3
2 3 1
3 2 3
0 1 2
0 2 1
2 0 1
3 3 3
2 0 2
3 1 2
1 3 0
10 8
0 1 1
0 2 0
0 2 1
1 1 1
0 2 2
0 0 1
1 0 1
0 0 2
2 1 0
1 1 0
10 2
0 2 2
0 0 3
2 1 3
0 1 0
2 1 2
0 1 1
2 0 2
1 1 3
0 0 2
0 0 1
10 2
1 3 2
0 0 3
0 3 0
0 1 2
3 3 0
2 0 0
1 3 3
1 2 0
1 1 0
0 3 3
10 6
0 0 1
2 3 2
2 2 2
1 0 2
3 1 1
0 3 0
3 0 2
1 0 3
1 2 2
3 1 3
10 3
0 0 1
0 2 0
1 0 0
0 3 1
2 1 0
1 1 2
2 2 2
0 2 3
2 3 2
2 3 3
10 7
1 1 0
0 2 0
1 2 2
0 1 1
2 1 0
0 0 1
0 0 0
2 1 1
2 0 1
1 0 1
10 5
1 2 1
2 2 2
2 2 0
2 1 0
0 2 1
0 1 2
1 1 1
0 1 1
2 1 2
2 0 0
10 5
2 2 2
0 1 1
0 2 2
1 2 1
2 0 1
2 2 1
1 2 2
1 0 2
0 1 0
1 1 0
10 5
0 3 3
1 0 1
0 0 1
0 1 2
1 3 0
0 1 1
2 1 3
0 2 2
2 3 3
1 3 2
10 4
1 1 1
1 2 0
0 0 0
0 1 0
1 2 2
2 2 1
2 1 1
1 2 1
2 0 2
0 0 1
10 5
1 3 1
0 2 3
1 0 1
2 2 3
0 3 3
1 0 3
1 3 3
2 1 3
0 3 1
2 1 0
10 6
0 2 0
1 0 0
0 1 0
0 2 1
0 0 2
1 1 0
2 0 2
2 2 0
1 1 2
0 0 1
10 5
1 2 0
0 0 1
2 0 1
2 1 0
1 0 0
1 2 2
1 1 2
1 0 1
2 2 2
0 0 0
10 9
0 1 0
2 2 1
0 2 2
2 0 1
1 0 2
0 1 2
0 2 0
2 2 0
0 1 1
1 1 2
10 4
1 0 0
0 1 1
2 2 1
1 2 0
0 1 2
0 2 2
2 0 1
1 1 2
1 1 1
1 0 2
10 5
2 2 2
1 2 1
1 0 2
0 0 2
2 0 1
2 1 2
2 0 0
1 0 0
2 1 0
1 1 2
10 8
3 2 1
0 2 0
2 2 3
2 0 3
0 1 3
3 3 1
3 1 1
2 1 0
2 0 2
1 2 0
10 3
0 0 0
1 3 0
3 2 2
2 2 3
1 1 0
1 0 1
3 1 3
1 3 2
0 2 2
3 3 2
10 6
2 1 2
2 0 1
1 1 3
2 2 1
1 3 3
2 1 3
0 0 1
3 0 1
0 3 1
3 0 2
10 5
0 0 1
0 1 2
2 1 0
1 0 1
0 2 0
0 0 2
1 2 2
2 2 1
2 1 1
2 0 0
10 9
1 2 2
1 1 1
0 1 2
2 0 2
2 1 2
1 0 0
0 1 0
1 2 0
2 0 0
2 0 1
10 6
3 1 1
0 0 0
3 0 0
1 0 0
3 3 0
1 0 2
2 1 1
2 0 1
1 3 0
3 0 1
10 9
2 0 1
0 0 0
1 0 1
2 1 1
1 2 2
0 1 0
1 2 1
2 2 2
0 1 1
0 0 2
10 2
3 3 3
1 0 2
0 1 0
0 0 3
0 0 0
0 2 2
0 2 0
0 3 3
1 2 1
2 3 1
10 2
1 0 2
3 3 0
2 0 3
0 3 3
0 1 0
2 1 0
3 2 2
3 2 3
1 1 2
3 1 0
10 6
3 2 0
1 0 3
0 0 2
0 3 2
1 1 2
1 1 0
2 2 3
0 2 0
2 3 3
1 3 3
10 6
0 1 1
1 1 2
2 0 2
1 2 1
2 2 1
0 0 0
1 2 2
2 1 1
0 2 0
1 0 0
10 9
0 0 1
0 1 1
2 1 0
1 1 2
0 1 0
2 1 1
0 2 1
1 2 0
2 0 2
0 0 2
10 4
0 0 0
0 2 0
1 1 2
2 2 1
2 0 2
0 0 2
0 1 0
0 2 2
2 0 0
0 0 1
10 9
2 0 2
0 3 3
2 2 2
3 3 0
0 1 2
1 2 0
3 1 3
2 1 3
0 1 0
0 3 0
10 8
0 0 0
2 3 0
1 1 2
2 2 0
0 1 0
1 2 0
1 3 1
3 3 2
1 0 0
3 3 1
10 4
1 1 0
0 0 0
2 0 1
2 2 0
0 2 0
2 2 2
2 2 1
2 1 1
1 2 1
0 2 1
10 9
2 1 1
0 3 2
0 0 0
3 0 3
3 3 2
1 2 0
3 1 3
3 2 0
3 2 3
1 0 1
10 5
0 1 0
1 1 0
1 0 0
2 2 2
0 0 0
0 0 1
2 2 0
0 1 2
2 1 1
0 2 2
10 4
1 1 0
1 1 1
0 2 1
1 0 2
0 1 2
0 2 2
2 2 0
2 1 0
1 2 0
2 2 1
10 8
1 0 1
2 0 2
0 2 1
0 2 2
1 0 2
1 0 0
2 0 1
0 1 2
0 0 2
1 2 1
10 8
3 0 2
1 2 3
1 1 2
1 0 3
1 0 2
0 2 1
3 1 3
1 3 2
0 1 3
1 0 0
10 8
0 1 2
1 1 3
1 1 2
2 0 0
2 1 1
0 3 1
0 1 1
2 2 0
0 2 2
0 2 3
10 6
1 2 1
0 2 0
0 0 0
2 0 2
0 0 1
1 0 0
1 2 0
2 1 0
0 0 2
2 1 2
10 2
3 3 0
2 2 3
0 1 2
2 0 1
3 0 2
0 2 0
2 3 3
1 1 0
0 3 2
3 0 0
10 9
2 1 2
1 3 1
3 0 2
2 1 0
2 2 0
0 2 0
2 2 2
1 0 2
2 3 2
3 3 0
10 6
3 3 2
0 2 2
2 1 0
1 1 2
0 1 2
2 3 3
1 0 3
3 0 2
1 1 1
3 2 0
10 4
2 3 1
3 2 1
2 0 0
1 2 1
3 1 1
2 1 0
3 3 0
2 3 2
1 3 1
1 0 2
10 5
2 1 1
1 2 0
1 2 2
0 1 1
2 2 1
1 2 1
1 1 0
0 1 2
0 2 1
0 1 0
10 7
2 3 2
0 1 0
3 3 3
1 1 2
1 2 2
0 0 3
3 2 0
3 3 0
1 1 3
3 0 0
10 7
2 0 1
2 1 1
2 1 2
1 0 0
1 2 0
0 2 2
2 2 1
1 1 0
2 0 0
1 1 2
10 4
2 0 3
3 1 3
0 0 0
2 1 0
2 0 1
1 3 1
2 2 3
1 2 2
2 3 3
0 1 1
10 5
2 1 1
3 0 3
0 1 0
2 0 3
3 1 1
0 0 1
3 3 0
1 0 2
2 0 1
2 3 0
10 4
2 2 1
2 1 1
2 0 2
0 2 1
0 0 0
1 2 1
2 1 0
2 0 1
1 1 1
1 2 2
10 4
1 1 0
2 1 2
1 1 1
0 2 1
1 1 2
2 1 0
0 1 2
2 0 0
0 1 0
0 0 1
10 6
0 3 1
0 0 1
3 1 0
0 2 3
3 0 3
2 2 0
2 3 3
3 1 3
2 2 2
0 1 0
10 2
0 1 0
0 2 0
1 0 1
2 1 1
1 2 0
0 0 2
1 1 2
2 0 2
1 2 1
0 0 1
10 5
1 0 1
2 2 0
1 2 2
2 2 1
0 2 1
0 0 1
1 2 0
0 1 2
1 1 2
2 0 0
10 5
3 0 2
2 3 1
3 2 0
2 0 0
0 0 2
0 1 0
1 2 2
2 1 3
1 0 1
3 1 3
10 3
2 1 1
0 0 3
1 1 0
3 1 3
2 0 3
1 0 2
2 3 0
0 0 0
0 0 1
0 1 3
10 8
3 0 3
1 0 1
1 2 3
1 2 1
2 1 1
2 2 2
3 0 1
3 3 0
2 2 1
0 2 0
10 7
0 0 1
2 2 1
1 1 2
1 0 0
0 1 1
1 1 1
2 2 2
2 1 0
1 0 1
0 2 2
10 8
1 1 0
1 0 3
0 3 1
3 0 1
3 2 1
3 1 1
0 3 0
3 3 2
1 2 0
3 3 0
10 9
0 0 2
0 2 1
2 3 3
1 1 3
3 0 1
0 1 3
3 2 3
1 1 0
3 3 1
3 1 0
10 8
2 1 1
0 1 2
1 0 2
2 0 2
1 1 1
0 2 1
0 2 0
2 2 0
1 1 2
1 1 0
10 6
0 3 1
3 3 2
3 0 2
0 3 0
2 0 0
3 3 1
1 1 0
0 0 0
0 0 3
2 0 1
10 5
3 3 1
3 3 0
1 0 0
0 0 1
2 1 3
0 0 2
0 0 0
0 1 1
2 2 3
3 0 3
10 4
2 3 0
2 1 3
1 1 3
1 1 2
1 1 0
0 0 1
0 1 1
3 0 2
2 0 0
1 0 1
10 3
0 1 0
1 2 1
1 0 2
0 0 1
2 0 1
1 0 1
2 1 1
2 1 2
0 0 2
2 2 0
10 2
2 2 0
0 1 1
0 1 2
1 2 2
1 1 2
1 0 2
0 0 2
1 2 1
2 1 0
0 0 0
10 5
2 0 1
1 0 2
0 0 2
1 1 2
1 1 1
0 2 0
0 2 2
0 2 1
2 2 0
2 2 2
10 4
0 1 1
1 1 2
1 1 1
0 1 2
2 1 1
0 2 0
1 0 2
1 0 1
2 0 1
0 0 1
10 8
0 0 2
1 2 2
0 2 0
2 2 1
2 0 2
2 0 0
2 1 1
0 2 2
2 2 2
2 1 2
10 5
2 2 0
0 0 2
2 1 0
3 3 3
0 0 1
3 2 3
0 1 3
0 2 1
2 2 3
1 3 3
10 9
2 1 0
0 2 0
1 1 0
0 1 0
1 0 1
1 1 2
0 1 2
0 2 1
1 2 0
0 2 2
10 9
1 1 0
2 2 0
1 1 2
0 0 0
1 2 1
2 2 1
0 2 0
2 1 0
1 0 1
1 2 2
10 7
3 1 2
0 1 2
0 0 2
2 1 3
2 1 1
0 2 0
2 3 0
1 2 2
0 3 3
0 0 1
10 4
2 1 1
0 0 1
1 2 0
2 2 2
1 0 1
1 1 1
1 0 0
2 2 1
2 1 2
2 0 0
10 6
0 2 0
0 1 1
0 1 0
1 0 0
1 1 1
1 2 0
2 2 2
1 2 2
1 1 2
2 1 2
10 9
0 2 0
3 2 2
1 1 3
0 2 1
2 1 1
0 1 3
2 1 0
3 3 1
3 2 1
1 0 3
10 5
1 1 0
1 2 1
2 2 0
0 0 0
0 2 0
2 0 1
2 1 1
0 0 1
1 0 2
1 0 0
10 5
0 2 2
2 0 3
0 2 0
3 3 3
2 1 1
2 2 3
3 0 2
1 0 3
1 1 1
3 1 0
10 6
1 2 3
2 2 1
3 1 1
1 3 1
3 2 2
3 2 3
0 1 1
2 1 0
2 3 1
0 3 2
10 8
2 2 1
1 2 1
0 2 1
1 2 0
0 2 2
0 2 0
0 1 1
0 0 2
2 0 0
1 1 0
10 2
2 1 2
2 1 0
1 0 2
0 0 2
1 1 0
0 1 0
0 2 1
0 0 0
2 2 2
0 1 2
10 7
1 1 1
0 2 3
1 3 2
3 2 0
2 3 3
2 3 2
0 0 0
0 3 1
3 1 2
3 0 3
10 5
1 0 0
0 2 2
2 2 0
2 0 0
0 1 2
1 1 2
1 0 1
1 1 1
2 0 1
0 1 1
10 2
2 0 2
0 1 1
1 0 1
2 1 0
1 2 0
1 1 2
1 1 1
2 0 1
2 0 0
1 0 2
10 8
1 2 2
0 1 0
1 2 1
1 0 1
0 2 2
1 0 2
2 2 2
0 2 1
0 0 0
2 1 1
10 7
0 1 1
0 0 2
1 2 2
2 1 2
1 1 2
1 0 2
0 0 1
2 1 1
1 1 1
1 0 0
10 6
2 0 0
2 0 1
0 0 1
1 0 1
1 1 2
0 0 2
1 2 2
1 0 2
2 0 2
0 0 0
10 7
1 2 2
2 2 1
3 0 3
2 3 3
2 1 3
1 1 1
3 3 3
1 1 2
2 1 0
1 0 0
10 7
1 2 0
0 1 1
0 1 2
2 1 2
1 0 0
0 0 0
2 0 2
2 1 1
1 0 1
1 1 1
10 2
1 2 0
1 0 1
2 1 0
1 1 0
1 0 2
2 1 2
0 1 0
2 2 1
2 0 1
0 1 2
10 2
2 2 0
0 1 1
2 2 1
1 1 0
2 2 2
1 1 1
2 1 0
1 2 2
2 0 1
1 0 1
10 3
0 0 2
0 0 1
2 0 0
1 2 0
1 2 1
2 2 0
0 1 1
2 2 2
0 2 0
1 0 2
10 2
1 1 2
1 1 1
1 0 0
2 1 2
1 0 1
2 0 0
2 0 2
0 1 1
2 1 1
0 0 1
10 6
2 1 0
0 1 2
0 0 1
2 2 1
0 2 1
2 2 2
0 2 0
1 2 0
1 1 0
0 1 1
10 3
0 2 1
3 1 2
0 1 0
2 3 0
1 0 3
0 0 2
1 1 2
3 1 3
3 0 2
1 3 0
10 5
0 0 0
0 2 1
1 0 2
2 0 2
2 2 1
2 1 2
0 1 1
0 2 0
0 0 1
1 0 0
10 9
0 1 2
0 1 0
0 2 0
0 2 1
1 0 0
0 0 0
2 2 1
2 2 2
1 2 1
2 0 1
10 7
2 1 1
0 0 0
1 0 1
1 0 2
0 1 1
2 1 2
0 1 2
1 2 2
2 0 1
0 2 1
10 4
2 2 1
0 2 0
1 0 2
2 0 0
1 1 0
2 2 2
1 0 1
1 1 2
0 2 2
0 0 2
10 9
0 1 1
2 0 0
3 1 3
3 1 2
3 3 2
0 1 0
1 3 2
3 0 1
0 3 2
0 2 1
10 9
1 1 3
0 3 1
1 2 2
3 0 1
0 3 2
0 0 0
3 1 3
3 1 0
2 2 3
0 1 3
10 6
0 1 1
0 1 2
0 0 2
0 1 0
0 2 2
1 1 0
0 2 1
1 2 0
1 0 0
1 1 1
10 9
0 1 0
1 1 1
2 1 0
0 1 2
2 2 0
2 0 2
0 0 1
1 1 0
2 0 0
2 2 1
10 5
1 0 0
1 1 2
0 0 2
2 1 2
0 1 2
1 1 1
1 2 2
0 0 0
2 0 0
2 2 1
10 2
2 1 3
2 1 2
3 1 3
2 2 3
1 1 3
1 3 1
3 0 0
3 1 2
3 2 3
2 3 2
10 5
2 2 0
1 0 0
2 0 0
2 1 1
1 0 2
1 1 1
0 1 0
1 2 0
1 1 2
0 0 2
10 3
1 3 1
1 0 0
1 1 1
3 2 3
0 3 1
0 1 3
3 1 2
2 3 3
0 3 2
0 0 1
10 8
1 0 2
1 2 2
2 0 2
0 0 2
2 0 0
2 2 0
2 2 2
0 0 1
1 0 0
2 0 1
10 5
0 1 1
0 2 0
2 0 2
1 1 1
2 1 0
1 1 0
0 0 2
1 2 0
1 2 1
2 0 1
10 3
1 1 2
1 2 0
0 1 0
0 0 1
2 0 1
1 2 2
1 1 1
0 1 2
0 2 0
0 2 1
10 9
3 1 3
1 1 2
3 0 1
1 2 0
3 0 3
1 2 2
2 3 0
3 2 3
0 1 3
0 3 0
10 5
1 2 0
2 2 1
0 0 0
1 0 1
2 2 0
1 1 1
0 2 2
0 1 2
2 0 1
0 2 1
10 7
0 1 2
1 0 2
1 0 0
1 0 1
2 1 2
0 1 1
1 2 2
2 1 1
2 0 2
0 2 0
10 2
3 2 0
2 2 3
2 0 3
3 3 3
3 3 2
1 2 3
1 3 3
3 1 0
2 1 1
1 0 3
10 3
0 0 1
0 2 0
3 3 2
2 0 0
1 2 3
3 0 2
0 1 0
1 3 2
3 0 1
2 0 2
10 7
0 0 1
2 3 1
1 0 0
2 1 3
2 3 3
2 2 1
3 1 2
0 0 2
3 0 3
2 0 1
10 7
3 0 3
3 3 3
3 1 2
1 1 1
2 2 1
2 1 1
0 3 3
0 3 1
1 1 0
0 2 2
10 5
3 3 3
2 2 0
3 3 1
3 1 3
1 1 3
1 2 1
3 0 2
3 3 2
2 1 3
2 2 3
10 6
0 1 0
1 2 2
0 2 0
2 2 1
1 2 1
1 0 1
1 1 0
1 1 2
2 0 1
0 2 2
10 9
1 0 1
0 1 1
2 2 1
0 2 0
2 0 0
2 2 0
1 1 2
1 2 0
0 2 1
1 0 2
10 4
1 0 1
1 3 0
0 3 1
3 0 1
0 0 3
0 1 1
1 0 3
1 1 1
1 2 3
2 1 1
10 2
0 0 0
1 2 1
0 1 1
0 1 0
2 0 2
0 1 2
0 0 1
1 1 1
2 2 1
0 2 1
10 7
3 2 0
0 2 3
3 1 2
2 3 0
1 1 2
3 2 3
3 3 0
3 1 1
3 3 1
3 0 3
10 7
2 2 1
1 2 2
0 1 2
3 2 3
0 2 1
1 2 1
3 1 0
3 2 1
0 0 0
1 0 0
10 4
3 3 1
0 0 1
3 2 2
1 2 1
2 0 2
0 2 0
2 0 1
2 2 2
3 1 2
0 2 2
10 2
2 1 1
2 0 3
1 1 3
0 0 2
0 2 0
3 0 1
2 2 0
3 0 3
3 2 0
0 1 1
10 3
0 1 1
0 2 1
0 2 2
1 2 1
1 0 2
2 0 2
1 1 0
1 1 1
2 1 2
1 2 0
10 8
0 1 2
2 2 1
0 0 2
0 2 1
2 1 3
1 1 3
2 3 2
2 3 3
1 0 0
2 2 0
10 5
1 0 0
0 2 3
3 3 1
3 3 2
1 1 0
0 1 3
3 2 3
0 0 2
1 3 3
2 0 2
10 9
1 1 1
1 3 3
1 3 1
2 0 1
1 0 3
2 3 1
2 0 3
0 2 1
0 0 3
1 1 0
10 8
3 1 2
2 0 2
0 0 2
0 1 0
1 3 1
3 3 2
0 1 1
3 0 1
2 2 1
2 1 2
10 4
2 2 0
2 0 0
1 0 2
2 1 0
1 2 2
0 1 1
2 2 1
1 0 1
0 2 2
1 1 1
10 6
0 2 0
1 3 2
0 3 0
3 2 0
1 1 2
1 2 3
2 3 3
2 3 0
2 3 2
1 0 2
10 4
1 2 1
0 2 1
0 0 2
0 0 0
2 2 2
2 0 0
1 2 2
0 1 2
0 1 1
1 1 2
10 9
1 2 1
0 2 0
0 1 1
2 2 2
1 0 1
2 2 1
0 0 2
2 0 1
0 0 0
0 2 1
10 9
1 1 0
1 3 3
2 1 3
2 3 0
1 0 0
1 3 0
2 3 1
2 2 3
0 2 3
0 3 2
10 6
3 1 0
1 0 2
2 1 2
2 1 3
0 0 2
0 0 1
0 0 3
1 0 3
0 1 0
3 0 0
10 8
3 3 3
2 2 1
1 1 1
0 0 1
2 0 0
0 3 2
0 1 2
0 0 0
3 0 1
3 1 3
10 6
2 1 0
1 3 1
0 0 2
0 3 3
2 0 1
1 1 3
2 2 3
1 0 3
0 3 1
2 1 2
10 2
2 1 1
0 0 1
2 1 0
1 2 1
1 0 2
1 2 2
2 2 0
2 1 2
1 1 0
0 2 0
10 2
0 2 1
1 0 2
2 0 1
0 2 2
1 1 0
0 0 1
1 1 2
1 2 0
1 2 2
0 1 2
10 2
1 2 2
1 0 2
3 2 3
1 0 3
2 3 2
3 2 0
3 2 2
2 2 3
0 3 0
2 2 2
10 8
1 2 1
0 1 1
2 1 1
2 1 0
2 0 2
1 0 1
0 2 0
0 1 2
0 0 0
1 1 1
10 8
3 1 0
2 1 2
1 1 1
2 0 0
0 1 0
0 0 0
0 3 0
0 1 1
0 2 3
2 2 2
10 3
1 0 2
1 2 0
2 0 1
0 2 2
0 0 2
1 2 1
2 1 0
0 0 0
0 2 0
0 0 1
10 8
0 0 0
2 0 1
0 2 1
0 2 0
1 1 1
2 0 2
2 2 2
1 2 2
2 2 1
0 0 2
10 9
2 1 0
2 2 2
0 2 2
1 2 0
1 0 1
1 2 1
1 2 2
1 1 0
0 1 0
1 1 1
10 7
0 2 1
0 0 2
3 0 0
0 1 0
1 1 0
1 0 1
2 2 2
1 2 3
0 2 3
2 0 2
10 7
1 1 1
1 0 0
2 2 2
1 2 2
1 2 1
1 2 0
1 0 2
0 0 1
2 1 2
2 1 0
10 2
1 0 3
3 0 0
1 0 0
0 3 1
1 1 0
3 3 0
2 2 1
2 1 2
0 1 1
2 3 0
10 8
1 2 0
2 2 1
2 2 0
0 2 0
2 1 0
2 2 2
1 2 1
2 0 1
0 0 0
1 0 1
10 6
2 0 2
3 2 3
1 3 1
2 0 1
3 0 1
2 2 1
2 0 0
1 2 2
1 0 2
1 1 0
10 4
1 1 1
1 0 1
1 0 2
2 0 2
0 1 1
0 2 1
2 0 0
0 0 0
0 0 1
1 2 0
10 6
2 1 1
0 0 0
1 2 2
0 0 2
2 1 2
3 2 0
1 3 2
3 0 1
1 3 0
1 3 1
10 4
2 2 1
2 2 2
1 1 1
1 1 0
1 2 0
2 0 1
2 2 0
2 1 2
1 2 2
0 0 0
10 8
1 2 3
3 1 3
3 2 3
2 3 0
1 0 1
2 1 2
0 1 0
2 1 0
1 1 1
2 2 0
10 9
0 2 0
0 2 1
0 1 1
0 0 0
2 2 1
0 0 1
0 0 2
2 0 2
1 2 0
2 0 1
10 3
2 1 1
0 1 2
1 2 0
0 1 1
2 0 0
1 1 2
2 2 0
2 1 2
0 0 1
1 1 0
10 3
2 0 2
0 1 1
0 1 0
1 1 0
2 2 2
2 0 1
0 2 0
2 2 1
0 2 1
2 1 1
10 2
0 2 0
2 0 2
1 2 2
2 1 1
2 2 2
2 2 0
2 0 1
2 1 2
2 2 1
1 1 2
10 2
1 0 1
2 0 1
1 0 0
1 1 1
2 1 0
1 1 2
2 0 0
1 2 1
0 0 1
0 1 1
10 2
2 3 3
2 0 1
0 1 2
1 0 2
1 1 1
1 0 3
1 2 2
2 1 0
0 0 0
2 1 3
10 5
0 1 1
1 2 0
1 0 1
2 0 1
0 2 1
2 1 1
2 2 1
1 0 0
1 2 1
1 2 2
10 2
1 1 2
1 1 1
0 1 1
0 2 0
2 0 2
2 2 0
0 0 1
1 2 0
1 1 0
2 0 0
10 2
2 1 2
0 2 1
1 1 1
2 1 1
1 2 1
0 2 2
2 0 1
2 2 1
0 1 0
2 2 2
10 7
2 1 0
0 0 0
2 2 2
2 0 2
2 0 1
0 1 2
0 1 0
2 2 0
1 0 0
0 2 0
10 8
1 2 3
0 1 3
0 1 0
3 1 1
3 3 0
0 0 1
1 1 1
3 0 3
1 0 0
0 0 2
10 2
0 1 0
1 0 0
1 1 0
2 0 2
1 1 2
0 1 1
1 0 1
2 1 1
1 2 2
1 2 0
10 9
2 3 1
3 2 2
0 2 2
3 1 1
2 3 0
1 2 3
1 3 3
0 1 1
0 1 0
0 3 0
10 7
1 3 1
3 2 3
3 1 0
1 1 1
1 3 0
3 0 0
3 3 0
3 0 2
3 3 2
0 3 1
10 5
0 2 2
0 0 0
1 0 2
1 1 1
1 2 1
2 2 1
2 0 1
2 0 2
1 2 2
0 2 0
10 9
0 2 0
1 0 0
0 2 2
1 2 0
2 0 1
1 1 0
0 2 1
2 2 0
0 1 2
0 0 2
10 3
0 0 0
0 2 0
2 1 1
2 2 0
1 2 2
0 1 2
0 1 1
0 0 2
2 0 2
0 1 0
10 3
2 1 1
0 1 0
2 2 2
0 1 1
2 0 0
1 1 0
1 0 1
1 2 1
0 0 2
1 1 2
10 5
0 1 2
3 1 0
0 0 0
0 0 3
3 1 1
1 3 1
0 2 1
2 2 3
1 2 0
2 1 3
10 9
1 2 2
1 2 0
0 0 0
2 0 2
1 1 0
2 2 1
2 0 1
1 1 1
0 0 2
0 2 1
10 7
3 1 0
3 1 2
1 0 2
2 1 0
2 2 2
2 3 2
1 3 1
0 1 3
3 0 1
3 0 2
10 7
2 2 0
0 0 1
2 2 2
2 1 2
1 2 0
0 1 0
2 0 1
1 0 1
0 0 0
0 1 1
10 2
0 2 0
1 0 1
2 2 0
2 0 0
0 1 2
2 1 0
1 1 0
1 1 1
1 2 2
1 0 0
10 6
2 2 3
2 2 2
0 2 3
3 1 0
3 3 0
3 2 2
0 1 3
2 1 3
2 3 0
0 1 0
10 2
2 2 1
0 0 1
0 1 2
1 0 0
2 2 0
1 1 2
1 1 0
0 2 2
1 1 1
0 0 0
10 4
0 0 0
2 1 2
2 2 0
0 2 0
2 2 2
0 1 0
1 2 1
2 1 1
2 0 2
0 1 1
10 4
0 1 2
2 0 2
1 2 2
1 1 1
1 0 1
0 1 0
2 0 1
1 1 0
0 1 1
0 0 0
10 6
2 0 0
2 2 1
1 1 2
1 1 0
1 2 1
0 0 0
2 1 2
1 2 0
0 2 2
1 0 1
10 2
1 2 2
2 1 0
0 1 0
2 2 1
0 2 2
0 2 0
1 0 1
1 2 0
0 0 2
0 2 1
10 7
1 0 3
2 0 2
3 0 1
3 3 2
3 3 3
2 1 1
2 2 2
1 1 3
2 0 0
0 2 1
10 5
0 0 0
2 2 0
1 0 2
2 0 0
1 1 2
1 2 0
0 0 2
2 0 2
0 0 1
2 2 1
10 9
0 2 0
1 2 1
2 0 2
2 1 1
1 1 1
2 1 0
1 2 0
0 1 1
0 2 1
2 2 0
10 4
2 2 1
0 2 1
2 1 1
1 1 2
0 1 1
1 0 2
1 0 0
1 0 1
1 2 2
2 0 2
10 8
1 0 2
3 2 2
1 1 1
2 3 0
1 1 3
0 3 0
0 3 1
2 3 1
1 3 2
2 3 3
10 5
0 1 1
2 2 0
1 2 2
1 0 0
2 1 0
0 0 2
2 2 2
0 1 2
2 0 2
2 2 1
10 2
1 0 2
0 2 1
2 0 1
2 1 0
1 1 0
0 2 0
2 2 1
0 2 2
1 1 2
0 1 2
10 4
0 0 1
3 3 0
1 1 1
3 1 2
0 2 0
1 0 2
2 3 0
0 1 0
3 3 3
1 2 0
10 6
0 2 2
1 2 1
0 0 2
2 0 0
1 1 2
2 2 0
1 0 0
1 0 1
1 1 1
0 1 1
10 8
0 3 1
2 1 2
1 0 3
1 3 0
2 3 1
0 3 0
1 2 2
2 0 2
2 2 2
1 0 2
10 9
1 1 0
0 2 1
2 1 3
1 1 2
3 2 2
2 3 0
3 2 0
1 2 1
2 2 0
3 2 3
10 9
0 0 1
0 1 1
1 0 2
2 2 1
1 2 2
1 0 1
2 1 2
0 1 2
2 2 2
0 0 2
10 7
2 2 1
1 1 3
0 2 0
3 1 1
3 3 2
2 0 1
0 0 2
2 0 2
2 2 2
1 2 3
10 5
2 3 0
2 3 1
3 2 3
0 3 0
1 2 2
2 3 3
1 0 3
1 3 1
0 3 1
0 2 3
10 3
2 0 0
1 1 1
2 0 2
2 1 1
0 1 0
0 2 2
1 1 2
0 0 0
1 0 2
1 2 0
10 3
2 1 2
0 0 2
0 2 2
2 2 0
0 3 3
2 2 3
1 0 2
1 3 2
1 1 0
1 0 3
10 4
2 1 1
1 1 1
2 0 2
2 2 1
1 0 2
0 0 2
2 0 0
1 1 2
1 0 0
2 0 1
10 3
1 2 0
2 2 1
1 2 2
2 0 2
2 0 1
0 1 2
1 0 1
1 0 2
2 2 0
0 0 2
10 8
0 3 3
3 2 2
3 3 3
2 1 2
3 2 1
1 3 2
1 1 3
1 1 1
2 0 3
3 0 2
10 5
1 0 3
1 3 0
0 3 2
3 1 3
0 0 1
3 3 0
2 2 1
1 0 2
0 0 2
2 3 2
10 8
3 3 2
1 3 1
1 2 1
1 1 0
0 3 2
0 3 3
3 0 3
3 2 0
1 1 2
0 2 2
10 5
1 2 2
1 0 0
2 0 1
2 0 0
2 2 1
0 2 1
1 2 1
0 0 0
1 0 1
1 1 2
10 4
1 1 2
2 2 3
1 2 2
3 2 2
2 1 3
1 1 0
2 1 0
3 1 2
0 3 1
2 3 2
10 2
1 1 3
1 3 0
2 2 1
1 3 2
1 3 3
3 1 3
3 0 0
1 3 1
0 2 0
2 0 2
10 5
1 1 2
1 3 1
0 0 3
0 2 2
3 2 2
1 0 3
0 1 2
2 1 2
2 3 2
3 1 3
10 3
2 2 0
1 1 2
0 2 0
2 1 2
2 0 0
0 1 0
2 2 1
0 0 1
0 2 2
1 0 0
10 7
0 0 2
1 1 3
1 0 2
2 1 2
1 1 0
0 2 3
1 2 0
2 0 1
0 1 1
2 0 3
10 5
1 2 2
0 2 1
2 0 1
0 1 2
0 2 0
0 0 2
1 2 0
1 2 1
1 0 0
2 2 1
10 4
3 3 0
0 3 2
1 2 3
2 3 0
0 1 3
0 2 1
3 2 3
0 2 0
3 1 0
0 1 2
10 5
1 2 2
0 3 2
3 2 2
3 2 0
2 2 1
1 2 1
0 2 0
2 3 0
2 0 1
1 0 1
10 3
1 3 2
0 3 2
1 2 1
1 0 1
1 3 0
0 1 2
0 2 2
2 0 1
3 1 0
1 1 0
10 9
0 0 1
0 1 1
1 1 0
0 0 0
1 1 2
1 2 1
2 1 0
1 0 2
2 0 2
2 1 2
10 2
3 2 2
0 0 1
1 1 3
3 0 0
0 3 3
1 3 1
1 3 0
3 1 1
0 3 2
3 2 3
10 6
1 1 2
2 1 1
2 2 1
2 1 2
2 1 0
0 0 1
1 1 0
2 0 2
1 0 0
0 0 2
10 8
2 2 2
2 3 0
0 0 3
0 2 0
1 2 2
2 1 3
1 2 1
3 2 1
2 3 1
0 2 2
10 6
0 1 1
1 1 0
1 2 3
0 0 2
3 2 0
3 3 2
2 3 3
3 2 2
1 1 2
0 2 0
10 3
1 1 1
0 2 1
1 2 2
1 0 1
2 2 1
2 1 1
0 1 1
2 0 1
2 1 2
2 2 2
10 5
1 0 2
1 2 0
1 1 0
2 1 2
0 0 0
1 2 2
2 1 0
0 1 2
1 1 2
0 0 2
10 5
0 3 0
0 0 2
1 2 2
0 2 1
1 3 3
3 0 0
0 1 0
3 2 2
3 3 1
1 0 2
10 3
1 0 3
0 1 2
3 1 2
1 2 0
2 0 1
3 3 3
0 3 1
2 1 0
2 3 2
2 3 1
10 8
0 1 1
1 0 1
2 2 2
1 1 0
0 2 2
1 0 0
0 2 1
1 2 1
1 2 0
0 1 2
10 4
1 0 0
1 1 3
1 0 2
1 3 1
3 3 1
3 2 0
0 3 1
1 1 0
1 1 1
1 3 0
10 2
2 0 2
0 0 2
0 2 2
2 2 2
0 1 0
0 0 0
1 0 0
2 0 0
1 1 0
2 2 1
10 4
1 2 1
2 2 0
0 0 0
0 1 0
1 1 1
1 1 0
2 0 2
0 0 1
1 2 2
0 2 0
10 8
2 0 2
3 1 1
0 1 1
0 3 0
0 2 3
1 0 0
1 3 0
1 2 3
3 0 2
2 3 0
10 5
2 2 0
2 1 0
0 1 2
0 1 0
1 2 0
2 1 2
0 2 2
0 2 1
1 0 1
2 2 1
10 9
0 2 0
1 1 1
1 1 2
0 0 1
2 0 0
0 2 1
0 1 0
2 1 1
2 2 0
0 0 0
10 6
2 1 2
2 1 0
1 0 2
2 0 2
2 0 0
2 2 1
1 2 1
0 1 2
0 2 0
1 1 0
10 5
1 2 2
1 1 1
2 3 3
1 2 3
1 0 3
2 2 3
2 0 3
3 3 2
3 0 1
3 1 3
10 4
3 3 0
1 1 2
3 0 2
2 0 0
3 1 2
1 3 0
3 3 3
2 0 3
1 2 0
3 0 3
10 5
1 0 2
0 2 1
0 1 2
1 1 2
0 0 0
0 1 0
2 2 2
0 1 1
1 0 1
2 2 1
10 5
0 0 0
0 1 2
1 1 1
2 0 0
2 0 1
0 1 1
2 2 1
2 1 0
1 0 1
2 2 2
10 3
1 1 2
2 1 0
0 1 1
1 0 1
1 2 2
2 0 0
1 0 0
2 0 2
0 2 2
0 0 0
10 8
0 2 0
2 1 2
2 1 3
3 2 0
3 3 3
3 0 2
1 0 1
2 3 3
1 2 1
3 2 2
10 7
1 2 1
0 1 2
0 1 1
1 0 2
1 1 2
2 2 0
2 1 0
1 0 1
0 0 0
1 2 0
10 2
0 3 1
2 2 2
0 0 2
0 0 0
3 2 0
0 2 2
0 1 3
1 0 0
3 1 2
3 0 3
10 7
2 2 1
1 1 2
2 0 0
0 1 0
0 2 0
1 2 1
2 0 2
2 1 0
0 0 2
1 0 2
10 4
2 0 0
0 0 1
0 1 1
2 2 2
0 1 2
2 2 1
0 1 0
0 2 0
1 2 2
1 1 0
10 5
0 0 2
2 2 0
0 0 1
1 2 2
2 0 0
1 1 1
1 1 0
1 2 1
1 0 2
2 0 1
10 4
3 1 1
3 0 0
0 0 0
2 0 1
2 2 3
1 3 1
1 1 3
1 3 2
2 2 0
1 0 2
10 2
0 0 2
3 3 3
2 0 1
0 2 1
3 0 3
0 2 3
2 1 0
0 1 3
2 3 0
2 1 3
10 3
1 0 0
1 0 3
1 3 1
2 3 3
3 0 3
3 3 2
2 1 2
0 2 3
3 2 1
0 3 3
10 6
3 2 1
2 2 2
1 0 3
1 0 1
2 3 2
0 0 3
0 2 2
0 3 0
2 2 1
0 3 3
10 9
3 3 2
1 1 1
2 3 1
3 2 0
1 1 0
0 2 1
0 1 2
3 0 3
0 3 1
0 2 2
10 5
3 0 1
1 1 3
2 3 2
2 0 2
3 3 0
3 2 2
0 3 2
0 2 0
1 3 0
2 2 2
10 6
2 1 1
0 0 0
1 0 1
1 1 1
1 0 0
1 1 0
1 1 2
1 2 0
1 2 2
0 2 2
10 3
3 0 1
3 3 0
2 1 3
0 0 2
1 1 0
1 2 0
2 1 1
3 3 1
0 1 0
0 3 0
10 4
3 3 2
2 3 3
2 1 1
0 1 0
3 3 1
2 0 1
0 3 2
2 1 2
0 2 2
3 3 0
10 2
1 1 0
0 0 1
0 1 2
2 2 2
1 1 2
2 2 1
2 1 2
0 2 2
2 1 1
1 2 0
10 8
2 2 0
2 2 1
3 2 1
0 0 3
2 3 2
1 0 1
3 1 0
2 1 0
1 1 2
0 0 0
10 4
1 1 0
0 1 1
2 2 1
2 2 0
1 2 2
2 1 2
2 0 0
1 0 2
1 0 0
0 0 1
10 4
0 1 1
1 0 1
1 1 2
1 2 1
2 2 0
2 0 2
1 2 0
2 2 2
1 1 1
2 1 1
10 3
0 3 1
2 2 3
3 0 2
1 2 1
2 3 1
3 0 1
0 2 2
0 0 3
0 1 0
2 0 1
10 5
1 1 1
1 0 0
0 0 3
1 0 2
2 2 1
1 3 1
0 1 0
2 2 3
0 2 3
2 2 2
10 9
2 2 1
1 0 2
2 2 0
0 1 2
0 2 2
2 0 2
1 1 1
2 0 1
2 2 2
2 1 0
10 7
1 1 1
1 3 0
2 3 2
0 1 3
0 1 0
2 2 2
0 0 1
1 0 2
0 2 3
1 2 3
10 8
1 2 2
0 2 0
0 1 1
2 1 1
1 0 2
2 2 1
1 0 0
2 0 0
1 0 1
1 2 1
10 9
0 1 2
2 3 1
0 0 0
2 1 0
0 2 1
2 3 2
1 3 3
3 0 1
2 1 1
2 1 2
10 8
1 2 0
1 3 1
0 0 1
0 2 2
3 1 0
1 0 0
3 0 0
3 1 3
0 2 1
3 0 2
10 8
2 2 1
2 3 1
1 3 1
1 0 1
1 2 0
0 3 2
3 0 2
3 3 2
1 1 2
0 3 3
10 2
3 2 0
0 2 2
2 3 1
2 1 2
3 2 1
2 2 0
3 1 1
3 0 0
3 3 1
2 3 0
10 7
0 0 1
2 1 0
2 0 0
0 0 0
2 2 1
1 1 2
1 2 2
0 1 1
0 1 0
1 0 0
10 6
1 2 0
1 0 0
0 0 1
1 1 1
2 1 0
1 0 1
1 1 0
0 1 1
0 2 0
0 1 2
10 9
2 0 2
1 0 2
1 2 1
0 1 0
0 1 2
2 2 2
2 1 2
2 0 0
1 2 2
0 2 1
10 6
1 1 2
1 0 0
0 2 0
2 2 2
2 0 2
2 1 0
1 0 2
2 1 1
2 0 1
0 0 1
10 3
1 3 0
1 0 2
2 1 1
1 1 2
3 1 0
0 3 2
2 1 0
0 2 1
3 3 2
3 1 3
10 5
3 3 1
2 1 1
2 3 3
3 2 3
3 0 0
1 0 3
0 0 1
3 1 0
2 1 0
1 3 1
10 5
1 2 1
3 3 0
2 2 2
1 0 2
0 0 0
0 2 1
3 1 2
1 1 3
3 3 2
0 3 3
10 9
1 0 1
3 3 0
3 3 2
2 3 0
3 2 0
3 1 0
0 3 1
3 1 1
2 3 1
0 1 1
10 2
1 1 0
1 2 1
0 1 1
3 0 0
0 3 1
2 0 2
2 1 1
3 1 2
0 0 2
1 0 2
10 4
0 0 1
1 2 1
0 1 0
2 1 0
0 2 0
0 1 2
1 0 2
2 1 2
0 2 2
1 1 2
10 5
1 0 3
1 3 0
2 1 0
3 1 2
1 2 0
1 3 1
3 3 3
0 0 0
1 2 1
1 0 0
10 3
0 1 1
2 2 2
0 2 0
1 0 2
0 0 2
1 1 0
1 2 1
2 1 2
2 0 2
1 1 2
10 6
1 3 0
2 2 3
3 0 1
0 2 3
1 1 0
0 0 2
3 2 2
0 3 3
1 1 2
2 3 3
10 9
0 1 2
2 2 1
3 1 3
2 0 1
2 3 0
1 0 0
2 2 3
1 3 1
1 2 1
3 1 0
10 8
2 1 2
0 2 0
2 2 0
1 1 2
2 0 0
2 2 1
2 1 0
1 1 0
1 0 2
0 2 1
10 8
2 0 2
0 2 1
2 0 0
1 1 0
1 1 2
1 0 0
0 1 2
2 1 0
0 0 0
0 0 1
10 6
2 2 0
1 0 0
0 1 1
2 1 2
2 2 1
1 1 2
0 0 1
0 0 0
2 0 2
2 0 0
10 3
0 2 1
1 1 1
1 0 0
1 2 0
0 2 2
2 1 1
1 2 2
1 1 0
0 0 0
0 1 1
10 8
2 1 2
0 3 3
0 0 2
2 3 0
3 1 0
3 1 2
0 3 0
3 3 3
3 2 2
0 1 3
10 4
3 1 3
2 2 2
2 1 2
3 3 3
3 0 2
1 3 3
0 2 1
0 1 2
0 3 2
2 3 0
10 2
0 2 0
2 2 2
1 0 0
1 1 1
2 2 1
1 1 0
1 2 0
1 1 2
2 1 1
0 0 1
10 6
3 1 2
3 2 3
2 3 0
1 2 0
0 1 1
1 3 0
0 2 3
3 1 0
3 3 2
1 1 0
10 3
1 0 1
2 2 2
1 2 2
0 0 1
2 0 1
1 2 1
1 0 0
2 0 0
2 2 1
0 2 0
10 5
2 1 2
2 2 0
1 0 1
0 1 0
2 0 2
1 0 0
1 2 1
2 2 2
0 2 0
1 2 2
10 7
2 1 0
0 2 2
1 1 2
2 1 2
1 0 0
1 0 2
0 1 1
0 0 0
1 1 1
1 2 1
10 5
0 2 0
1 0 1
1 1 0
0 1 2
0 2 2
1 0 2
2 0 1
2 1 1
0 2 1
2 2 1
10 8
3 3 3
0 2 0
3 3 0
2 3 0
2 0 1
0 0 2
0 1 1
3 2 1
3 1 2
2 0 2
10 3
2 0 3
0 3 2
3 3 2
3 1 0
1 3 2
0 0 3
0 0 1
3 2 2
0 1 3
0 0 0
10 3
0 0 3
2 1 1
0 1 3
0 0 2
2 2 3
1 3 3
1 1 1
0 0 0
0 3 0
1 1 0
10 9
2 2 1
1 0 0
0 0 1
3 3 1
2 1 0
2 3 0
3 0 1
0 2 0
1 3 2
0 2 1
10 8
1 0 0
1 1 1
2 2 1
1 0 2
0 1 0
2 0 0
2 1 0
1 2 0
1 2 1
1 2 2
10 6
3 0 1
3 2 0
1 3 2
2 3 2
2 2 1
3 3 1
2 1 2
3 0 2
3 1 3
3 0 0
10 4
0 0 1
2 1 0
1 2 1
1 2 0
1 1 0
1 1 1
2 0 0
0 2 2
2 1 2
1 0 2
10 4
2 0 1
1 1 0
2 1 3
0 0 0
3 1 3
1 1 1
2 0 0
0 2 2
3 1 0
0 2 3
10 9
1 2 2
0 0 2
0 1 0
2 0 1
0 2 1
1 1 2
2 2 1
1 0 1
2 2 0
0 2 2
10 3
0 1 0
2 0 1
2 1 2
0 0 2
0 2 2
0 2 1
2 1 0
0 2 0
1 2 0
1 0 0
10 7
1 2 0
2 2 1
0 0 0
1 2 2
0 1 1
0 2 0
0 0 2
0 0 1
2 2 2
1 1 0
10 3
2 0 0
2 1 1
0 1 2
2 3 2
2 2 0
3 1 1
0 0 1
1 0 2
1 1 0
1 2 2
10 3
2 1 0
0 0 1
2 2 2
2 1 1
0 2 0
0 1 1
0 2 1
1 0 0
0 0 2
2 1 2
10 6
3 2 2
2 0 2
0 3 0
1 1 0
1 0 3
3 1 1
1 0 1
0 1 0
2 1 0
1 3 0
10 2
3 1 0
2 1 2
3 2 3
2 2 3
1 0 0
2 2 1
1 3 3
0 1 0
0 2 2
1 2 2
10 4
2 0 0
1 0 2
1 0 1
0 1 1
0 2 1
2 0 2
0 0 1
2 1 1
1 2 1
2 2 2
10 7
0 2 2
2 2 2
0 1 0
2 0 2
2 2 0
0 0 2
2 1 2
0 0 0
1 0 2
0 2 0
10 4
1 0 2
1 1 1
2 1 1
1 0 0
0 0 0
1 1 2
2 1 0
2 0 2
0 1 2
2 2 0
10 5
1 0 2
0 0 2
0 2 1
0 1 1
0 1 2
0 0 0
2 1 0
1 0 0
2 2 2
0 2 0
10 2
0 0 2
3 3 3
2 0 2
3 3 0
2 3 3
1 0 1
1 1 1
2 2 0
1 1 3
2 3 0
10 4
0 0 1
1 1 1
2 1 1
2 2 1
2 2 0
0 0 0
1 1 0
0 1 1
1 2 0
0 1 2
10 5
1 0 3
3 2 3
2 1 0
3 2 2
0 0 1
0 2 2
1 0 2
2 3 2
1 3 0
3 0 0
10 6
2 1 0
1 1 1
2 0 1
0 1 2
2 1 1
0 1 1
0 2 1
0 2 0
1 2 2
2 1 2
10 3
1 0 1
3 0 3
0 2 3
0 0 2
2 3 2
1 2 0
0 2 2
0 2 1
2 3 3
2 2 3
10 4
0 2 2
2 0 0
2 0 2
1 0 0
2 2 0
2 1 0
1 2 1
2 1 1
1 2 2
1 1 1
10 9
2 1 1
1 0 1
1 0 2
1 1 0
1 1 2
0 2 2
1 2 2
1 2 0
0 2 0
2 2 2
10 8
0 3 3
2 2 2
0 1 2
0 1 0
3 2 0
0 1 3
3 3 0
2 1 1
1 0 2
3 0 2
10 2
0 2 2
1 1 1
2 2 1
1 0 2
1 1 0
2 2 0
2 2 2
0 2 1
1 0 1
2 0 2
10 9
1 0 0
1 1 0
0 0 0
1 0 1
1 2 2
0 1 0
0 0 1
1 0 2
1 2 0
2 2 0
10 5
3 0 3
0 1 1
0 1 0
1 1 0
2 0 1
1 0 3
3 2 3
3 3 0
1 3 2
3 2 1
10 3
3 0 1
3 0 0
1 0 0
1 0 2
0 2 1
1 3 1
1 1 3
2 2 3
1 0 1
2 3 1
10 2
2 2 0
1 2 2
2 1 0
1 0 0
1 2 1
0 1 2
0 0 0
0 2 0
1 1 1
0 0 2
10 2
0 3 2
2 1 0
1 0 2
1 3 0
2 1 3
3 2 3
0 2 3
2 0 3
3 2 1
3 1 3
10 4
1 0 1
3 2 3
3 2 1
1 2 0
2 1 2
1 1 3
2 2 1
3 0 1
3 3 3
1 1 2
10 4
1 3 0
0 2 0
3 0 1
2 0 1
1 2 0
2 2 3
3 3 0
1 1 3
3 2 2
1 0 3
10 9
1 0 0
3 2 2
1 3 0
2 3 1
3 1 2
1 0 2
0 2 1
1 1 0
1 3 1
3 0 3
10 7
1 0 1
3 2 2
3 0 1
1 1 0
0 1 0
0 0 1
0 2 0
1 2 3
1 3 3
0 2 1
10 9
1 1 0
2 1 2
2 2 0
1 0 1
2 0 2
0 2 0
2 0 1
1 2 2
1 0 0
1 1 1
10 2
2 3 0
3 0 3
1 3 0
0 0 2
1 2 1
1 2 0
1 2 2
1 1 1
2 2 2
2 2 0
10 6
1 2 0
1 2 2
0 1 0
0 2 0
2 2 2
1 2 1
0 1 1
0 2 2
2 0 0
0 0 0
10 2
2 0 2
1 2 2
0 1 0
2 0 0
0 2 0
1 1 0
1 1 2
2 2 1
0 1 1
2 2 0
10 4
2 0 2
2 2 1
1 1 0
0 0 1
0 1 1
2 2 0
0 2 2
1 2 2
0 0 2
0 1 0
10 7
2 3 2
1 0 1
0 1 2
3 3 0
1 1 1
3 0 0
1 3 3
3 3 3
2 2 0
3 2 2
10 8
0 0 2
1 1 2
2 2 0
1 0 1
0 1 0
2 0 2
0 0 0
0 1 2
0 2 2
0 1 1
10 4
0 3 3
1 0 1
3 0 3
0 0 0
2 1 3
3 1 0
1 2 1
0 1 3
0 0 2
1 2 2
10 4
3 0 1
0 1 1
2 2 0
1 2 1
1 2 3
3 3 0
0 3 2
2 0 1
0 2 1
1 0 0
10 3
2 1 1
1 2 0
2 3 0
3 1 1
1 3 3
0 0 2
1 1 0
2 0 0
0 2 0
0 1 0
10 3
3 0 0
3 3 1
1 1 0
0 3 1
2 0 3
0 1 2
0 3 0
0 0 2
2 3 3
1 3 2
10 5
1 2 2
2 0 2
1 2 1
2 1 0
2 2 1
1 1 1
1 0 1
0 0 0
0 2 0
0 0 1
10 3
2 1 2
2 1 0
0 1 0
1 0 1
0 2 1
0 0 0
1 1 2
1 1 0
1 0 2
2 2 0
10 7
1 1 1
1 2 0
0 1 0
2 1 2
0 3 0
0 0 2
2 0 3
1 0 0
1 0 3
1 3 2
10 5
3 2 0
2 3 0
1 3 2
2 2 2
2 1 0
3 1 3
3 0 3
3 1 1
0 0 1
3 0 1
10 3
1 0 2
0 1 0
1 1 1
2 0 0
2 1 0
0 2 2
0 2 0
2 1 1
2 2 2
0 1 2
10 3
0 3 2
3 0 3
2 0 0
1 2 3
0 1 2
0 3 0
3 3 1
1 0 0
3 3 2
0 3 1
10 4
2 0 1
2 0 3
2 0 2
2 1 3
3 2 1
2 0 0
1 3 0
0 1 0
0 0 2
3 0 1
10 6
1 0 0
2 0 2
2 0 1
0 1 2
1 1 2
0 0 2
1 0 1
0 0 1
2 1 2
1 0 2
10 2
2 3 0
1 3 1
1 1 2
3 0 0
0 1 3
1 2 0
2 0 3
2 1 1
0 2 1
0 3 3
10 8
2 0 0
0 0 0
0 0 1
2 1 2
1 0 2
0 0 2
0 2 2
0 1 2
1 1 1
1 1 2
10 6
2 1 2
2 1 0
0 2 2
1 1 1
1 0 0
0 1 0
1 1 0
0 1 2
0 0 1
0 1 1
10 7
3 0 2
0 2 1
1 0 3
1 3 0
3 3 2
1 1 2
1 1 3
0 2 2
1 2 1
3 1 3
10 5
1 0 1
0 1 2
2 1 2
3 1 2
1 0 0
3 1 3
0 1 1
0 2 0
0 0 1
1 3 0
10 4
3 2 3
0 3 0
1 2 3
1 2 2
3 3 1
0 2 0
0 2 3
2 3 3
0 0 3
2 3 1
10 5
0 1 0
2 0 0
2 1 2
2 2 2
1 0 1
0 0 0
2 0 1
2 1 1
1 0 0
2 0 2
10 3
2 2 0
1 2 0
2 0 2
0 2 0
1 0 1
0 0 2
1 1 1
2 1 2
2 0 1
0 1 2
10 7
0 2 1
3 1 0
3 3 1
0 2 0
3 3 3
0 2 3
2 2 3
0 3 3
1 0 0
0 1 2
10 9
1 3 3
1 1 2
1 3 0
1 0 1
3 0 2
3 1 2
2 0 3
3 2 1
2 3 1
3 1 0
10 7
1 0 0
0 0 1
2 2 2
1 2 2
0 2 2
2 0 1
1 1 1
2 1 1
2 0 2
2 1 2
10 8
0 2 3
0 2 0
3 2 1
3 0 3
1 1 3
3 1 1
1 2 2
0 1 0
2 3 1
1 3 2
10 7
2 2 0
2 1 2
0 0 1
1 1 0
2 0 0
0 1 1
0 1 2
1 2 2
1 0 1
0 2 1
10 3
0 1 2
2 2 1
0 1 1
0 0 1
1 1 0
1 0 2
0 2 2
1 1 1
1 2 2
1 1 2
10 2
0 2 0
2 1 1
1 0 2
0 1 0
1 0 0
0 2 2
2 1 2
1 2 0
2 0 0
2 2 2
10 8
3 2 0
0 2 2
2 2 0
0 1 2
1 2 0
2 3 3
1 0 3
0 2 3
3 0 1
1 0 1
10 5
0 0 3
3 0 0
1 1 3
0 0 2
1 3 0
2 1 3
0 3 2
3 1 2
3 1 3
2 0 0
10 7
0 2 1
0 0 1
0 1 1
1 0 1
2 0 2
1 0 0
2 1 2
2 0 1
0 0 0
2 0 0
10 7
3 2 2
2 0 1
3 3 0
3 1 3
1 1 1
1 2 1
3 0 3
3 3 2
3 2 3
1 1 0
10 5
0 3 2
2 2 3
0 0 2
3 1 3
1 1 0
2 3 0
3 3 0
2 1 3
1 0 0
0 2 2
10 2
1 0 1
2 0 2
1 3 3
1 1 2
2 2 1
1 1 0
3 1 0
2 0 1
0 2 1
2 2 3
10 6
1 1 2
1 1 1
0 2 0
2 0 0
0 0 2
2 1 2
1 2 2
2 1 0
0 1 2
0 1 1
10 4
2 2 0
0 1 2
1 0 0
2 0 0
2 1 1
1 0 1
0 2 2
2 0 1
0 2 0
0 2 1
10 8
0 1 2
0 0 2
0 1 0
2 1 0
2 0 0
2 1 1
1 1 2
1 2 2
2 0 2
0 0 1
10 6
2 1 2
0 1 2
2 0 1
2 0 2
1 2 1
1 2 0
1 1 0
2 1 0
0 2 1
1 0 0
10 8
0 2 0
2 1 2
1 1 2
0 2 2
1 2 0
1 1 1
2 2 0
0 1 2
2 0 2
0 0 2
10 4
0 1 2
1 1 2
1 0 1
2 0 1
0 1 0
0 1 1
1 2 0
2 2 2
1 1 1
2 1 0
10 2
2 0 0
0 2 1
1 2 1
2 1 2
0 1 1
0 0 2
2 1 1
2 0 2
1 1 1
0 2 2
10 2
2 0 1
0 0 2
0 0 0
2 1 1
2 2 1
1 2 0
1 1 1
2 0 0
1 0 2
1 1 0
10 6
1 0 0
1 2 1
2 2 2
0 2 0
2 1 2
2 0 1
2 1 1
2 0 2
0 0 0
0 0 2
10 7
1 1 0
1 2 0
0 3 3
0 2 1
2 3 2
3 1 3
2 0 1
3 0 3
0 0 1
3 2 1
10 2
0 2 1
0 1 0
2 1 1
1 2 1
1 1 2
2 0 2
2 2 1
0 2 2
1 2 0
0 1 2
10 8
0 3 3
2 0 0
0 3 2
3 3 1
2 2 2
1 0 3
0 2 0
0 2 3
1 3 3
0 2 2
10 9
2 1 1
1 1 1
0 0 1
0 2 2
0 1 2
0 0 0
1 2 0
1 2 1
1 1 0
2 0 0
10 7
0 3 1
1 3 0
3 0 0
1 0 0
3 1 3
1 2 3
2 3 1
3 2 2
2 3 0
0 2 3
10 5
1 3 0
3 3 0
1 2 3
2 2 2
3 0 1
3 0 0
1 3 1
1 0 2
3 2 2
0 1 0
10 5
0 0 0
2 0 0
0 2 2
1 0 2
1 1 1
2 0 3
3 1 3
3 3 1
3 0 1
2 2 0
10 6
2 1 2
2 0 0
1 1 0
0 1 0
0 0 1
1 3 1
2 2 2
1 2 2
3 2 0
1 2 1
10 9
2 3 3
0 0 3
1 2 1
3 1 1
2 1 2
0 1 1
0 1 2
1 0 2
0 3 1
1 1 3
10 4
0 2 0
1 1 1
1 2 1
1 1 0
1 1 2
1 0 2
0 1 0
1 0 0
2 0 1
0 0 0
10 3
0 1 2
2 2 1
2 0 2
1 0 1
2 1 0
1 2 0
1 2 2
0 0 1
2 2 2
1 2 1
10 5
0 3 3
1 1 0
2 3 3
3 1 0
2 0 1
3 1 3
2 2 0
2 2 2
0 3 2
3 0 0
10 7
2 0 0
2 0 2
2 2 0
2 2 2
1 2 1
1 2 0
2 0 1
0 1 1
0 2 1
1 0 0
10 8
2 1 1
1 0 0
3 2 2
1 0 2
3 0 3
1 1 1
0 3 0
3 2 1
3 0 2
2 3 2
10 6
0 2 0
0 2 1
3 1 2
2 0 0
1 1 1
2 2 1
2 1 0
3 1 1
0 3 3
0 0 0
10 7
2 1 0
3 3 3
3 1 3
2 3 2
1 3 3
0 1 0
2 0 1
1 0 2
2 2 0
0 0 2
10 3
1 1 0
0 0 1
0 1 0
2 1 0
1 2 0
0 2 1
1 2 1
0 0 0
2 1 2
2 0 0
10 4
2 1 1
0 1 1
1 0 1
2 0 0
2 2 2
0 1 0
2 2 1
1 2 1
0 0 0
1 1 2
10 6
0 1 3
1 0 1
0 0 1
2 1 2
1 2 0
1 2 2
2 1 3
0 1 0
2 3 3
2 0 0
10 5
2 0 0
1 1 1
1 1 2
0 2 1
0 1 1
2 0 2
0 0 0
2 1 0
1 2 0
1 2 1
10 5
0 2 2
2 1 2
1 0 1
1 1 1
1 2 1
2 0 1
0 2 1
1 1 0
2 1 1
0 1 0
10 4
1 2 2
1 0 2
1 2 1
0 2 2
2 2 1
2 0 0
0 2 0
2 2 2
2 1 1
1 0 1
10 7
2 1 1
0 1 3
0 0 1
1 3 1
0 3 0
2 2 3
1 2 0
2 2 1
3 3 2
0 2 1
10 3
1 3 1
0 3 0
3 3 2
0 1 0
0 2 2
1 0 0
3 1 3
0 2 1
1 1 3
1 2 0
10 2
1 1 2
1 3 3
1 1 3
3 1 2
1 0 0
3 2 2
1 0 1
3 0 1
0 2 2
2 0 2
10 2
1 1 3
1 2 0
1 1 0
1 0 0
2 3 2
2 0 2
2 1 3
1 2 1
3 1 1
1 3 0
10 6
0 0 1
1 1 1
3 0 1
3 3 1
3 1 0
3 2 3
0 3 0
2 2 3
0 0 3
1 2 0
10 8
1 2 1
2 1 0
1 0 2
2 2 2
0 0 2
1 1 2
2 2 1
2 1 2
0 2 1
0 0 1
10 9
3 2 2
2 2 1
3 1 0
0 1 3
3 0 0
0 0 0
3 2 0
3 0 1
0 1 0
2 2 0
10 9
1 0 1
2 2 2
1 0 2
1 1 0
0 1 2
2 0 0
0 2 1
1 2 0
2 0 1
1 2 2
10 5
0 0 1
1 0 1
1 2 2
2 2 2
1 0 2
1 2 0
0 2 0
1 1 1
2 2 0
2 2 1
10 6
1 2 2
1 1 2
2 1 2
2 2 1
2 2 2
1 2 0
1 1 1
1 0 2
0 0 0
2 0 0
10 5
0 2 0
0 0 0
1 2 1
1 2 0
1 0 0
2 2 0
0 0 2
1 2 2
1 0 2
2 0 0
10 3
1 1 0
2 0 0
0 0 0
2 1 2
1 2 1
1 1 2
2 2 1
2 2 0
0 2 1
1 2 0
10 2
0 1 0
0 2 0
2 0 0
2 1 0
0 2 1
2 2 1
1 2 1
1 1 2
0 1 2
0 0 2
10 4
0 0 1
0 2 0
0 2 2
1 0 1
2 0 0
2 1 1
0 1 0
1 2 0
2 1 0
2 0 2
10 7
3 1 1
0 1 1
1 3 0
0 3 2
2 0 0
3 3 0
0 2 0
1 2 2
0 0 2
3 3 3
10 6
1 0 0
0 1 0
1 2 0
1 0 1
1 1 0
0 2 0
0 2 1
2 1 2
1 1 1
0 1 1
10 2
2 2 0
0 3 3
3 3 1
0 3 0
3 0 0
2 2 2
0 3 1
1 0 0
3 1 3
2 3 1
10 8
1 1 1
1 2 0
1 1 0
0 1 2
0 1 0
2 2 1
2 2 0
0 0 1
0 0 0
1 0 1
10 8
1 0 1
1 1 1
0 1 2
2 2 1
2 0 3
2 3 2
0 0 2
1 0 0
2 0 2
3 2 0
10 8
2 2 2
2 2 0
2 1 0
1 0 1
1 2 0
0 0 1
2 1 1
2 1 2
0 2 2
0 1 2
10 6
1 2 2
1 3 1
1 0 1
2 1 3
0 0 3
3 3 2
2 3 3
1 3 2
3 2 0
3 0 1
10 7
2 3 2
3 0 2
3 1 2
1 1 2
2 1 3
0 1 1
3 0 1
2 0 2
3 2 1
1 0 3
10 2
1 3 0
1 3 3
0 3 2
3 0 0
0 1 1
2 3 1
2 3 0
2 1 1
1 1 1
2 1 3
10 2
2 2 0
0 1 1
2 0 1
0 3 0
1 3 3
1 1 2
3 3 2
2 3 0
2 2 3
2 1 2
10 6
3 2 0
3 3 0
1 2 3
2 1 0
3 1 0
0 3 3
1 2 0
2 2 0
2 1 3
2 2 1
10 3
3 3 2
3 1 1
2 2 2
2 1 1
2 1 3
1 1 3
1 0 0
0 3 1
3 1 0
3 1 2
10 5
3 3 2
3 3 0
3 1 3
0 1 2
3 2 1
2 1 3
2 2 2
1 0 0
2 0 3
1 2 2
10 7
0 2 2
1 1 2
1 0 2
1 2 1
0 0 2
2 2 0
2 1 0
2 1 2
2 1 1
0 1 1
10 3
2 2 1
0 1 2
0 0 2
1 1 1
2 1 1
1 2 1
0 1 0
1 1 0
0 2 1
0 1 1
10 8
1 2 2
0 0 3
2 1 3
3 2 0
2 2 3
1 0 0
3 1 0
0 2 3
3 3 2
3 3 1
10 6
0 2 2
2 2 2
2 0 1
1 1 0
2 0 2
1 0 2
0 1 2
2 2 1
0 1 1
0 2 1
10 9
2 3 3
2 3 2
0 1 0
0 1 3
3 3 0
0 0 3
3 1 3
2 0 3
1 1 1
1 3 0
10 3
0 3 0
0 0 0
0 2 0
1 3 1
3 2 3
3 2 1
0 3 3
2 0 2
2 0 0
0 1 2
10 8
1 3 0
0 0 1
0 1 3
1 3 1
2 1 3
3 3 0
2 3 3
3 3 2
2 2 2
1 3 3
10 2
2 2 0
1 2 0
0 1 0
1 0 2
0 1 2
2 0 2
0 0 0
2 1 0
2 2 2
1 0 1
10 2
0 3 3
3 2 3
0 2 3
2 3 3
2 3 0
0 3 2
2 2 2
3 1 0
1 0 0
1 3 0
10 6
3 2 3
0 0 0
1 0 3
0 3 3
0 2 1
1 2 1
0 3 1
1 0 1
3 0 0
1 3 2
10 3
3 1 2
2 2 2
3 2 0
1 0 2
3 0 0
1 2 3
2 2 3
0 0 2
0 3 3
2 1 0
10 5
1 1 0
0 0 1
0 2 1
0 1 2
1 2 1
0 2 0
1 0 2
0 0 2
2 0 2
2 2 2
10 5
1 1 3
2 1 3
1 1 1
2 1 0
3 0 3
2 3 1
2 1 1
1 2 1
3 3 2
1 2 2
10 6
1 3 1
2 3 2
0 3 1
3 3 0
0 0 2
2 0 0
1 2 3
1 3 2
3 2 3
3 0 1
10 9
0 2 3
1 2 1
1 2 2
0 1 3
2 1 2
3 0 1
0 0 1
1 3 2
0 2 1
1 0 1
10 4
3 2 0
2 1 3
0 3 2
2 1 2
2 3 0
3 0 1
1 0 0
2 2 0
1 2 2
0 2 3
10 6
1 3 1
2 2 1
2 1 1
3 0 1
3 0 3
2 0 0
0 2 0
3 3 2
0 2 2
3 2 1
10 9
1 3 3
1 2 0
3 3 0
0 0 1
2 1 1
0 3 3
0 2 0
2 2 3
3 1 3
2 3 2
10 6
1 3 1
0 3 0
2 2 3
2 3 2
0 0 1
0 3 2
3 2 1
0 1 2
2 0 2
3 3 2
10 8
0 1 2
1 0 0
3 3 2
1 1 2
2 0 1
3 2 2
2 2 3
1 0 2
0 0 3
3 1 0
10 2
1 0 1
2 0 0
0 2 0
1 1 1
2 1 0
0 2 2
0 2 1
0 1 1
1 1 2
1 1 0
10 3
0 0 3
3 0 2
3 2 3
2 2 0
2 1 2
0 0 0
1 1 1
0 3 1
3 3 2
3 0 1
10 9
2 1 0
0 2 2
2 3 0
0 1 1
3 2 1
1 3 2
3 3 3
1 0 2
2 0 1
2 0 3
10 9
2 2 2
1 0 0
0 0 0
0 1 0
0 2 0
1 2 2
1 1 1
0 2 1
0 2 2
2 2 1
10 5
0 2 2
2 2 1
1 0 0
0 2 0
0 1 2
2 2 2
0 2 1
2 1 1
1 1 0
0 1 0
10 3
0 1 3
2 0 0
3 1 2
1 1 1
2 1 0
3 0 1
2 0 2
1 0 2
1 3 3
2 3 2
10 2
1 1 1
0 1 0
0 1 1
1 2 2
2 0 2
2 2 0
2 2 2
0 1 2
2 1 2
2 0 0
10 4
1 3 2
3 3 0
3 3 2
2 0 2
2 0 0
3 1 1
1 2 0
3 1 0
0 0 3
0 1 1
10 8
2 1 0
2 1 1
2 0 2
1 0 0
0 1 2
1 2 1
1 0 1
0 0 2
1 1 0
0 1 0
10 2
0 1 3
1 1 2
2 2 0
2 2 1
2 0 0
2 3 3
2 0 3
1 3 2
1 0 0
1 2 3
10 3
1 2 2
2 1 1
2 2 0
0 2 2
1 0 1
2 0 2
2 1 2
0 2 0
0 1 2
1 2 0
10 5
1 0 1
2 2 0
1 1 2
0 0 2
0 2 1
1 2 2
2 0 0
2 0 1
2 2 2
0 2 2
10 9
2 1 0
1 1 0
1 3 0
1 2 0
0 3 2
1 3 1
0 2 0
0 3 1
1 3 3
0 2 2
10 8
0 1 2
1 0 0
0 2 0
2 2 1
2 2 2
2 0 2
1 0 2
2 1 0
2 1 1
0 0 0
10 7
2 2 1
1 2 1
1 0 0
0 0 2
0 0 1
2 1 1
1 1 2
0 2 1
1 0 2
2 2 0
10 3
1 1 2
0 1 2
2 0 2
1 2 0
0 0 0
1 0 1
0 2 2
2 1 2
1 1 1
0 2 1
10 9
2 1 1
2 2 2
0 1 0
2 0 1
0 2 1
2 0 2
1 2 2
1 0 2
0 0 0
0 0 2
10 7
2 2 3
3 2 3
1 3 3
0 3 2
0 3 1
1 0 1
2 0 1
1 3 1
1 3 2
3 2 0
10 7
0 0 3
3 1 1
1 1 2
1 2 0
0 0 2
3 3 3
0 1 2
2 2 1
1 2 2
1 3 1
10 8
2 3 2
3 3 3
0 0 3
0 2 3
0 0 2
1 2 3
2 2 0
3 1 0
0 2 1
1 2 0
10 6
1 3 0
1 0 3
1 0 0
0 3 1
1 1 1
1 3 3
0 2 3
2 3 2
3 3 2
0 0 1
10 9
2 1 1
3 0 0
1 0 3
1 0 0
2 1 3
2 0 1
1 2 3
2 3 3
2 1 2
3 1 0
10 6
2 1 3
2 0 3
3 1 3
2 3 1
1 3 2
3 2 1
3 0 0
3 1 0
0 2 1
3 2 2
10 5
2 1 2
0 1 2
2 1 0
0 0 0
0 0 1
1 0 0
1 2 2
1 1 1
2 2 2
0 1 0
10 5
0 2 1
1 2 2
1 1 1
2 3 0
2 1 0
3 0 2
3 1 2
1 3 2
1 3 3
3 2 2
10 8
1 0 2
2 3 1
3 1 0
1 1 2
3 3 3
2 2 2
0 0 2
0 3 3
1 1 1
3 2 3
10 8
2 2 2
3 2 0
1 1 3
1 2 2
3 3 2
0 2 2
1 3 1
0 1 0
3 3 0
0 0 2
10 8
3 3 0
3 0 2
3 1 3
1 0 1
0 3 3
1 0 0
3 3 1
0 0 1
2 1 3
2 1 0
10 6
1 2 1
2 0 0
1 2 0
3 1 3
3 0 0
1 3 1
2 2 0
0 0 3
1 1 1
2 3 1
10 2
1 0 0
3 1 3
0 1 1
3 3 1
0 2 3
1 1 2
2 1 1
1 2 3
2 3 1
1 1 1
10 8
0 0 1
1 0 2
0 1 2
2 1 2
1 1 2
1 1 0
0 0 2
2 2 0
1 2 0
2 1 0
10 6
2 0 0
2 2 0
2 1 1
1 1 1
1 1 2
1 2 2
0 0 1
1 0 1
0 1 1
1 0 0
10 6
1 0 1
2 0 1
0 1 0
0 0 2
1 0 2
0 2 0
1 1 2
2 2 0
2 1 0
0 1 1
10 5
0 1 0
0 0 1
2 2 1
0 2 1
2 1 2
0 1 1
2 0 2
2 2 2
1 0 0
1 0 1
10 4
1 2 0
1 0 1
1 3 2
0 3 0
1 3 3
3 3 0
3 2 0
1 1 2
2 2 3
2 0 1
10 7
0 0 1
2 0 3
2 2 1
3 3 2
3 2 2
1 2 2
0 2 3
3 1 3
1 0 2
3 3 0
10 6
2 1 1
1 1 0
0 0 1
1 0 0
0 0 2
0 1 2
2 2 0
1 0 2
1 2 2
2 0 2
10 8
1 2 1
0 1 1
2 0 0
2 1 1
2 2 1
0 0 1
2 1 2
1 0 0
1 1 1
2 2 2
10 4
2 0 2
1 2 1
3 2 0
3 2 1
3 3 3
0 2 3
3 0 3
2 0 1
1 0 2
1 0 1
10 4
1 0 1
0 3 3
0 2 1
0 2 3
3 0 1
2 1 0
1 2 2
1 3 3
3 2 3
1 2 0
10 5
1 0 2
2 0 2
2 1 2
0 1 1
1 1 2
1 2 2
1 1 0
2 2 0
1 1 1
2 0 0
10 8
3 2 3
1 2 0
3 2 2
1 1 0
0 3 0
2 1 1
3 1 3
0 1 3
0 0 0
3 2 1
10 9
0 2 3
2 1 0
3 3 1
2 0 1
0 3 1
1 3 0
3 0 2
3 3 0
0 2 1
0 1 1
10 7
1 1 0
0 0 0
1 0 2
0 2 0
2 0 2
1 2 0
2 1 2
1 2 1
1 1 2
0 1 0
10 5
0 0 2
1 2 1
3 1 0
2 0 0
1 3 2
3 3 2
1 1 1
0 1 1
3 0 0
3 1 2
10 4
2 1 1
3 2 1
3 3 2
0 3 2
2 1 2
1 1 1
3 1 1
3 0 1
1 1 2
2 0 0
10 2
2 2 1
0 3 2
2 0 3
1 1 0
2 3 3
3 1 2
3 0 3
2 2 0
3 2 0
2 1 1
10 6
2 2 0
2 1 2
2 0 1
1 0 1
2 0 2
0 0 1
1 1 1
2 2 2
2 1 1
0 2 0
10 9
0 2 0
1 1 2
1 2 1
0 1 1
2 2 2
2 0 1
2 1 2
1 1 0
1 0 2
2 1 0
10 2
3 1 0
1 3 1
1 3 0
0 2 0
1 0 1
1 2 0
0 0 3
3 1 1
3 2 0
2 1 1
10 2
1 1 2
2 1 0
2 1 2
0 3 2
3 2 2
0 2 3
1 2 2
3 2 0
1 3 2
0 2 1
10 8
0 0 1
1 3 3
1 0 1
0 2 3
0 3 2
1 0 2
1 1 1
0 2 0
3 1 1
2 2 3
10 3
0 3 2
2 1 0
1 2 0
0 0 2
1 3 0
1 0 0
3 3 0
3 3 3
1 0 1
0 2 1
10 7
0 2 2
3 3 0
0 3 3
0 1 1
0 1 0
3 3 3
2 1 2
1 3 3
1 1 0
3 2 0
10 3
1 2 0
0 2 1
1 1 1
1 0 0
2 0 2
1 1 0
2 1 1
1 1 2
2 0 1
0 1 0
10 8
2 2 2
0 3 3
0 1 3
3 0 1
0 2 2
3 1 2
1 3 3
3 2 1
3 2 2
2 3 2
10 3
0 0 2
0 1 2
1 1 0
1 0 2
0 2 2
0 2 0
0 2 1
1 0 0
1 1 1
2 0 2
10 5
1 2 3
1 3 3
1 2 1
3 3 2
1 0 0
0 3 3
3 1 3
1 3 2
3 3 3
3 1 1
10 9
1 2 1
2 1 2
1 0 0
2 2 2
0 2 1
1 2 0
1 1 0
0 0 2
2 2 0
0 1 2
10 9
0 0 2
1 1 0
1 0 0
2 0 2
1 1 1
1 2 1
1 2 2
1 1 2
0 1 1
0 2 2
10 2
1 3 1
2 0 0
3 1 3
1 3 3
1 2 1
2 3 1
1 0 1
0 1 1
2 2 3
1 2 2
10 6
1 2 2
1 2 0
1 1 0
0 1 1
0 1 0
1 1 2
0 1 2
2 1 0
0 0 2
2 0 0
10 5
0 2 0
3 2 2
0 3 0
2 3 3
2 2 3
1 2 0
3 1 3
0 2 3
1 1 0
2 3 1
10 5
0 3 0
3 1 3
0 3 2
3 3 0
0 1 2
1 2 3
0 3 3
0 2 2
3 3 2
2 2 3
10 6
1 2 2
2 2 1
2 2 0
0 1 0
0 2 0
0 2 2
0 1 1
0 0 0
2 1 2
1 0 0
10 3
2 0 1
2 1 0
2 0 2
0 2 2
1 1 1
0 2 1
0 0 0
0 1 0
1 1 0
2 1 2
10 7
0 0 1
1 2 0
2 1 1
0 2 2
1 0 1
0 2 1
1 0 0
0 1 2
2 0 0
0 1 0
10 4
0 1 3
3 3 2
3 2 0
2 0 0
3 3 1
3 3 3
1 0 3
0 0 3
0 2 1
2 0 1
10 8
0 2 0
2 1 0
2 0 0
0 0 2
2 2 2
2 0 2
1 0 0
1 1 1
0 1 1
0 0 0
10 9
3 2 0
3 2 3
3 3 1
1 0 2
1 0 1
3 0 2
2 2 2
2 3 3
2 1 2
3 2 2
10 4
2 3 0
2 0 0
0 1 3
1 0 0
2 0 3
1 1 0
0 2 0
2 3 2
1 0 1
3 2 3
10 3
2 2 2
2 0 1
0 3 1
0 0 1
2 1 0
2 3 1
0 2 3
2 0 0
0 1 0
2 1 3
10 7
1 2 2
0 1 1
1 0 2
2 0 2
2 1 0
2 0 1
1 2 1
1 0 0
0 2 0
0 0 0
10 5
0 0 2
2 2 0
3 2 2
0 1 1
3 1 0
2 0 0
2 3 1
2 0 3
2 1 1
1 1 0
10 8
2 0 0
3 2 1
1 2 3
1 2 1
0 0 0
0 1 1
0 3 0
3 2 2
3 1 2
2 3 2
10 4
3 1 1
0 2 0
3 3 2
0 0 3
2 2 2
3 0 2
1 3 3
1 3 0
2 2 3
0 3 0
10 2
0 1 2
2 2 3
2 2 1
1 0 2
3 0 0
0 2 3
1 1 0
1 2 2
1 0 1
2 3 0
10 7
2 0 3
1 1 2
2 2 0
1 0 1
3 2 2
0 2 3
1 3 2
3 3 0
3 0 0
0 3 0
10 7
2 1 2
0 2 3
3 2 2
2 2 3
0 2 2
3 3 3
3 3 0
1 2 2
2 0 0
2 1 0
10 3
0 2 2
3 0 0
3 1 2
0 3 1
2 3 2
1 2 2
1 1 2
2 2 3
3 0 2
3 2 2
10 4
1 0 3
2 1 2
3 2 3
3 2 1
0 0 2
3 1 3
1 2 3
3 0 2
3 3 1
3 2 0
10 6
1 1 1
3 0 0
2 1 0
0 0 3
2 0 0
1 0 2
1 2 0
1 0 1
0 2 3
1 2 1
10 3
2 2 1
1 2 2
1 0 2
0 0 2
0 1 1
2 1 0
2 0 1
0 2 1
1 1 1
0 0 0
10 5
1 1 0
2 2 2
0 2 0
0 2 1
1 0 0
2 0 1
1 2 2
2 1 2
2 2 0
0 1 0
10 7
3 0 1
3 0 2
1 1 1
0 2 2
3 3 2
3 2 2
3 1 1
2 0 3
1 2 0
2 2 1
10 8
1 0 2
2 2 2
0 2 1
2 0 2
0 0 2
2 1 2
2 0 0
1 1 0
1 2 1
0 0 0
10 2
1 2 1
0 1 1
0 2 0
2 0 0
2 0 1
1 1 2
1 2 2
2 2 1
2 0 2
1 1 1
10 5
1 0 2
1 1 2
1 1 1
0 1 1
0 1 0
1 2 1
0 2 2
2 1 2
2 2 1
2 0 0
10 3
2 1 2
3 0 0
0 2 3
1 2 3
2 3 3
1 1 0
1 0 0
0 1 0
0 2 1
2 0 1
10 7
2 0 2
1 1 2
2 2 2
0 2 2
0 2 0
2 1 1
1 1 1
1 2 1
0 0 0
0 1 1
10 2
2 1 2
0 1 2
2 3 1
1 1 3
1 3 0
1 1 1
3 3 3
0 0 0
3 0 3
2 2 0
10 2
2 1 2
1 0 2
0 1 0
0 2 0
1 1 1
1 0 1
1 2 1
2 1 1
2 2 0
0 0 2
10 3
2 2 0
1 1 1
2 0 2
2 2 1
1 2 2
0 1 0
0 2 0
2 1 1
1 0 2
1 2 0
10 5
1 2 1
1 0 1
1 1 2
1 1 1
1 2 2
0 0 1
2 1 0
1 0 0
1 2 0
2 2 0
10 8
3 3 1
1 3 1
3 1 2
3 1 1
2 0 1
1 0 1
1 0 2
2 0 2
0 2 2
0 0 2
10 5
2 0 1
2 0 0
0 2 1
0 0 1
1 1 3
2 2 3
0 1 2
0 0 0
3 2 1
1 1 0
10 5
1 1 2
0 1 0
0 3 0
3 1 2
0 0 3
3 1 3
1 1 3
0 1 2
2 3 0
0 2 1
10 7
2 1 0
1 2 2
0 1 1
1 0 1
2 1 1
0 0 2
2 2 1
2 0 1
0 1 2
2 1 2
10 8
0 2 1
2 3 2
0 3 3
0 3 1
2 1 2
2 2 2
0 1 2
1 0 2
2 0 3
3 2 1
10 8
2 1 0
0 0 2
2 0 2
0 1 1
2 0 0
1 0 1
0 2 2
2 2 2
2 0 1
2 1 2
10 4
0 0 2
3 3 2
3 0 2
0 0 1
2 3 0
1 3 3
1 0 1
0 2 2
3 1 2
0 0 3
10 5
0 2 0
0 1 1
1 0 0
2 0 2
0 2 1
1 2 0
2 1 2
0 2 2
0 1 2
2 2 2
10 9
0 3 2
3 2 0
2 2 1
0 0 2
2 2 0
0 2 1
1 3 0
3 1 0
3 0 2
2 3 1
10 2
1 2 2
0 0 0
1 2 0
1 0 1
0 2 1
2 2 0
0 0 1
1 1 2
1 0 0
1 1 1
10 8
1 2 0
0 2 0
0 1 0
2 2 0
2 1 2
2 1 1
1 0 0
2 0 0
0 0 1
0 2 2
10 2
2 2 1
0 1 0
3 2 0
0 2 0
0 3 0
2 2 0
3 1 1
3 1 0
0 0 2
0 3 2
10 9
2 2 3
3 3 3
3 0 2
1 3 1
2 3 1
2 2 2
3 1 2
2 0 3
1 0 2
1 0 1
10 7
2 1 1
1 0 1
0 1 3
2 0 3
2 1 2
0 3 3
3 3 1
1 2 2
2 3 0
3 0 0
10 3
0 0 3
0 3 3
2 3 1
0 2 0
2 2 2
1 3 0
1 0 3
2 0 0
3 0 2
2 0 2
10 8
0 2 0
1 0 1
1 0 2
0 2 2
2 2 0
1 0 0
0 0 0
1 1 0
0 1 2
2 1 2
10 4
2 2 0
1 2 2
1 0 1
1 1 0
2 0 0
1 1 1
0 1 1
0 2 0
2 0 2
1 2 1
10 8
1 3 1
3 0 2
1 1 1
0 1 3
0 2 0
0 2 2
1 3 2
3 1 0
1 3 0
3 2 0
10 5
0 2 2
3 2 0
1 1 1
1 2 2
0 2 3
1 2 3
0 1 3
0 0 1
3 1 2
0 1 0
10 3
2 3 3
3 1 2
2 3 1
0 0 0
2 1 2
0 1 0
3 2 3
1 0 2
3 0 1
3 0 0
10 5
0 2 2
0 2 0
3 0 1
0 1 1
2 2 0
2 0 1
1 0 2
1 1 1
0 0 0
3 3 1
10 3
0 2 1
0 1 0
2 2 2
2 0 1
1 1 2
1 0 1
0 2 0
2 2 0
1 2 2
0 2 2
10 6
1 0 1
2 1 0
1 0 2
0 0 1
0 2 1
2 2 0
0 2 0
2 0 0
1 2 2
1 2 1
10 4
0 2 2
2 1 0
1 2 2
2 0 0
1 0 1
2 2 0
2 2 1
0 2 1
1 0 0
2 2 2
10 3
3 2 1
3 1 0
0 2 1
1 1 1
3 3 1
1 0 0
0 2 0
0 3 3
3 1 3
2 3 1
10 3
1 2 2
0 0 0
1 1 1
0 2 2
1 0 2
0 0 2
2 1 0
0 1 0
0 2 0
2 0 1
10 6
0 2 0
2 1 2
2 0 0
2 0 1
2 2 1
0 2 2
0 0 0
1 0 0
2 2 0
1 1 2
10 2
2 2 3
3 2 2
0 1 0
1 3 2
0 1 3
2 1 2
2 3 1
3 3 0
0 2 1
1 0 2
10 7
1 2 1
0 1 1
0 0 2
1 1 2
1 0 1
1 1 1
2 2 0
1 1 0
2 1 1
2 0 0
10 5
1 2 2
0 0 0
1 1 3
3 1 3
3 2 0
2 1 3
3 2 3
2 0 1
2 2 1
1 0 0
10 9
1 3 0
2 1 1
1 2 0
0 3 2
0 3 0
0 0 3
1 0 3
3 3 2
1 3 1
0 2 3
10 4
1 2 0
0 0 1
2 2 0
0 0 0
2 2 2
0 1 0
2 1 1
1 2 2
2 1 2
2 0 2
10 6
0 3 1
1 2 3
3 2 0
2 2 2
0 1 0
0 0 0
3 0 2
3 1 0
1 1 0
1 0 3
10 8
2 2 2
1 2 2
1 2 1
0 2 2
0 1 2
0 0 2
2 1 2
2 2 0
1 1 2
0 0 0
10 3
1 1 1
2 2 0
2 0 1
0 1 3
2 3 0
1 3 1
0 3 0
2 3 2
3 1 0
3 3 3
10 5
0 3 0
2 1 0
3 1 1
2 2 3
2 1 1
1 3 3
0 0 0
1 2 3
2 0 2
1 1 2
10 7
0 0 2
2 0 2
1 1 1
2 0 0
0 2 0
0 1 2
1 2 1
0 2 2
0 2 1
0 1 1
10 9
2 2 2
2 0 0
0 1 0
2 0 2
0 0 0
1 1 1
1 0 1
1 1 0
2 0 1
0 0 2
10 3
2 0 1
2 0 0
2 1 2
2 1 1
0 1 0
0 1 1
1 2 2
0 0 0
1 1 1
2 1 0
10 7
0 2 2
1 0 1
1 2 1
2 0 2
2 0 0
2 0 1
2 2 0
0 2 0
1 2 0
0 1 2
10 7
0 0 1
1 0 2
0 2 0
2 0 0
2 2 0
1 0 0
2 1 2
2 1 1
1 2 1
2 1 0
10 2
3 3 2
3 0 0
2 3 2
0 1 2
1 3 0
0 3 0
3 1 3
2 1 0
1 3 3
3 3 1
10 4
1 1 2
2 2 1
1 2 0
2 0 1
0 1 2
0 1 1
1 1 1
2 1 0
2 0 0
0 0 0
10 2
0 2 0
1 2 0
0 2 2
1 1 0
2 2 1
1 2 2
1 1 1
0 1 2
2 1 0
1 0 2
10 5
1 3 2
0 3 3
2 1 1
1 3 0
3 1 0
0 2 3
3 1 1
1 1 3
3 3 3
2 3 1
10 4
0 2 2
1 1 2
2 2 0
0 0 0
1 2 0
1 0 0
2 1 1
1 0 1
0 2 0
2 0 1
10 4
1 0 0
0 0 1
3 0 2
1 3 2
3 1 2
0 3 3
2 2 3
2 1 1
2 1 3
1 1 2
10 5
2 0 1
0 0 1
2 2 0
1 0 2
1 0 0
2 1 2
1 2 2
0 0 0
2 1 0
2 1 1
10 4
1 0 2
0 0 2
2 0 1
2 0 2
2 1 0
0 1 2
0 1 1
0 2 1
2 2 2
1 2 1
10 5
0 2 3
1 1 1
2 0 2
0 2 0
0 2 1
0 0 3
1 0 1
0 1 0
0 0 0
2 3 2
10 9
2 2 1
1 2 1
1 1 1
0 0 2
0 2 1
0 1 2
0 2 0
1 2 0
2 0 0
2 1 1
10 8
1 2 1
2 0 2
2 2 2
1 2 0
0 2 0
1 2 2
0 0 1
0 1 2
1 0 0
1 1 1
10 7
3 0 3
0 3 2
3 0 2
1 0 3
3 1 1
0 0 1
3 3 3
1 3 2
1 2 1
1 0 2
10 9
2 1 1
0 2 0
1 2 2
2 0 2
0 0 2
2 2 1
0 2 1
1 1 0
1 0 1
2 1 2
10 4
1 3 2
0 0 2
3 0 2
3 1 2
0 1 2
3 3 0
3 0 3
1 1 1
0 0 0
2 1 2
10 5
1 1 0
1 2 1
2 2 1
2 1 2
1 0 0
2 2 0
2 1 1
0 0 0
0 2 1
1 1 1
10 6
1 1 2
1 0 1
3 2 0
0 2 2
2 1 0
3 0 1
0 3 2
1 0 2
3 3 3
3 0 2
10 6
1 2 0
2 2 2
3 1 1
2 3 0
3 3 3
2 2 3
1 1 3
1 3 2
2 0 1
2 1 0
10 5
0 1 0
2 2 0
2 1 1
0 2 1
2 0 0
0 1 1
1 2 2
2 0 2
1 1 2
0 0 2
10 9
0 0 2
3 3 2
2 1 2
3 0 3
2 1 1
0 0 1
1 3 3
1 2 2
0 1 2
1 0 0
10 6
2 0 0
0 0 1
2 1 0
0 1 0
0 2 2
1 2 2
2 2 1
1 0 2
2 0 1
0 1 1
10 5
1 1 2
0 1 1
2 1 2
0 2 1
0 0 2
0 1 2
0 1 0
1 0 2
0 0 1
1 0 1
10 4
1 0 0
0 1 0
1 2 3
3 1 0
0 3 3
1 3 3
2 2 2
2 1 0
1 1 3
0 3 2
10 5
2 1 2
1 0 2
1 1 0
2 0 1
2 0 0
0 0 0
1 1 1
1 2 1
1 1 2
1 0 0
10 9
1 1 0
3 2 2
3 2 0
0 0 2
0 3 2
1 1 3
1 0 3
2 1 1
3 3 2
2 1 0
10 2
0 2 3
1 0 0
3 0 1
1 1 0
3 1 3
0 1 3
0 0 2
1 0 1
0 3 1
3 3 0
10 7
2 2 1
0 3 1
3 1 0
3 0 0
1 1 1
2 0 2
3 1 1
0 2 2
2 1 0
3 0 3
10 5
1 1 3
3 1 0
3 1 3
0 3 2
3 3 2
3 2 2
2 1 1
3 2 1
0 3 1
1 3 2
10 4
1 3 0
2 3 3
0 2 3
2 2 0
2 2 3
2 2 2
0 3 3
1 2 3
0 0 3
2 1 2
10 4
1 1 0
2 0 1
1 2 0
0 1 0
0 0 0
0 1 2
0 2 1
2 0 0
2 1 2
0 2 2
10 9
2 1 2
2 2 1
0 2 2
2 0 0
1 0 2
2 1 0
2 0 2
1 1 1
0 2 1
1 1 2
10 2
1 1 0
0 1 0
1 0 0
2 0 2
0 2 1
1 1 2
2 2 1
0 0 1
0 2 2
1 0 1
10 8
1 2 1
0 0 1
0 2 2
2 1 1
1 0 1
2 1 2
1 1 1
2 0 1
2 2 1
2 2 2
10 8
0 2 1
1 0 0
2 0 0
2 1 0
1 2 1
1 2 0
1 1 0
0 2 2
2 2 1
2 0 1
10 6
1 2 1
2 2 2
2 1 1
1 0 1
0 0 1
0 1 0
1 0 2
2 1 0
0 1 2
2 2 0
10 9
1 2 0
0 0 0
1 1 0
0 2 1
1 0 1
1 0 2
0 1 1
2 1 2
1 2 2
2 1 0
10 7
2 1 3
1 0 0
2 1 1
2 0 2
2 0 0
1 1 3
1 3 0
1 2 2
0 3 3
0 0 2
10 2
1 1 2
0 0 2
2 2 2
0 2 1
2 0 2
0 1 1
0 2 2
1 0 2
1 2 0
1 2 1
10 3
0 3 2
0 1 2
3 0 3
0 1 1
1 1 1
1 3 0
1 1 3
0 2 0
2 2 3
0 0 0
10 2
3 3 3
3 2 3
2 0 0
2 1 0
2 2 2
3 3 0
0 0 1
0 2 3
0 3 3
3 3 2
10 2
0 1 0
2 1 1
1 1 2
1 0 1
0 1 2
1 0 2
2 0 1
1 1 0
2 1 0
0 0 1
10 7
0 2 1
2 1 1
3 2 0
1 2 2
1 1 2
3 0 1
3 1 1
3 2 1
0 2 3
1 1 1
10 6
0 2 0
2 1 3
0 0 1
1 2 3
0 0 2
3 0 1
0 2 1
1 3 1
1 3 2
2 0 3
10 3
3 1 2
3 3 1
2 0 3
1 3 1
2 3 3
3 1 0
1 2 0
2 1 2
0 2 1
2 1 1
10 6
2 2 1
1 1 2
1 2 3
1 3 2
0 2 3
2 1 3
2 3 3
1 3 3
1 1 0
1 1 3
10 9
0 3 0
3 3 2
0 1 0
2 1 0
3 1 2
2 3 0
2 2 2
0 1 3
3 0 2
1 1 2
10 6
3 2 3
2 2 0
0 1 2
3 1 0
2 3 0
3 1 1
0 3 2
0 0 2
2 2 3
0 1 1
10 9
3 0 1
2 0 3
2 3 3
3 0 0
2 0 1
2 2 3
1 1 1
3 0 2
1 0 2
3 3 0
10 7
0 2 0
1 3 1
2 1 2
3 1 2
3 2 1
1 1 3
3 0 3
1 1 1
2 2 2
2 3 1
10 6
1 0 1
0 1 3
0 0 1
1 0 3
1 1 1
1 1 2
1 2 0
2 0 3
0 2 2
2 0 2
10 3
2 2 3
3 3 0
3 2 3
0 0 2
1 0 3
3 1 0
3 1 1
0 0 1
0 2 0
0 2 3
10 5
0 2 2
0 2 1
0 0 0
0 0 1
2 0 0
1 0 0
0 1 2
2 0 2
2 1 1
2 2 2
10 4
0 2 0
0 1 1
1 3 2
0 2 3
3 1 0
3 2 2
2 0 2
2 0 0
0 2 2
1 1 2
10 2
2 0 0
1 1 1
1 2 1
0 3 3
0 1 3
3 2 0
2 1 0
0 0 2
2 2 1
0 0 0
10 5
2 2 2
3 2 3
1 0 3
1 1 2
1 2 2
2 3 1
1 2 0
2 0 1
3 2 0
0 0 1
10 4
3 0 3
0 1 0
2 2 1
3 3 3
2 1 1
2 3 0
3 0 1
1 3 2
3 1 2
0 0 3
10 8
1 1 0
3 0 0
0 2 2
3 3 2
2 3 1
3 3 1
0 2 1
0 0 1
3 3 0
2 0 2
10 6
0 0 2
1 0 2
0 0 1
1 2 0
1 2 2
0 1 0
2 0 1
2 2 1
2 0 0
0 2 2
10 2
2 2 0
1 1 2
2 1 2
2 2 1
1 0 1
1 2 1
0 0 0
1 0 2
2 0 1
0 0 1
10 7
1 0 2
2 2 2
1 0 0
1 0 1
2 0 0
2 2 1
2 2 0
0 1 1
0 1 2
0 0 0
10 3
0 1 2
1 0 2
0 0 1
0 2 2
2 1 1
2 0 1
0 2 0
0 0 0
1 0 1
2 2 1
10 3
2 2 2
3 2 3
2 1 3
1 1 0
2 0 0
1 2 2
0 1 0
2 2 1
3 3 1
0 2 2
10 3
2 0 0
1 0 2
1 1 1
1 2 1
0 2 2
1 0 0
0 1 2
2 1 2
1 2 2
1 1 0
10 3
0 0 2
2 0 1
2 2 3
3 3 3
0 2 2
0 3 1
1 2 3
0 3 0
1 2 1
0 0 1
10 5
1 0 0
0 3 2
2 2 1
2 3 2
1 2 2
2 0 1
0 1 1
1 3 3
2 2 0
3 3 1
10 6
3 1 1
0 2 3
3 3 1
2 1 3
3 3 2
2 3 3
1 0 3
3 0 0
1 1 1
2 2 0
10 4
0 2 0
0 0 0
2 2 2
0 1 0
0 1 1
2 0 2
2 2 0
0 1 2
1 2 0
2 1 1
10 7
0 0 0
1 2 2
2 1 2
1 1 1
0 0 2
1 2 0
2 0 1
0 0 1
1 1 2
0 1 0
10 2
1 2 2
0 3 1
1 3 3
2 1 3
3 1 0
0 3 0
2 1 0
0 1 1
2 2 3
3 3 3
10 8
0 0 2
0 0 0
2 2 0
1 1 0
1 2 0
0 2 2
1 2 1
2 2 2
0 1 0
2 0 1
10 3
3 1 1
2 3 0
0 1 1
2 0 3
2 0 2
0 3 1
1 1 2
2 1 1
2 0 1
1 2 0
10 6
1 2 0
1 1 2
3 2 2
1 3 1
3 2 1
2 3 3
0 0 0
3 1 3
2 1 0
0 1 0
10 2
2 1 3
1 2 0
3 1 0
1 0 3
0 0 2
0 2 1
0 2 0
3 2 3
1 3 1
0 3 1
10 3
1 3 1
2 1 3
1 2 1
3 1 1
0 1 1
0 2 2
0 3 1
0 0 2
0 3 3
0 3 2
10 6
0 2 2
1 1 1
1 1 0
0 2 0
1 1 2
2 1 0
2 2 2
0 1 1
0 0 0
2 2 1
10 4
1 3 3
2 2 2
1 1 0
3 3 3
2 2 0
3 3 0
0 3 1
0 2 3
1 0 0
2 1 2
10 6
2 1 0
0 2 0
1 2 2
1 1 2
1 2 0
2 0 1
2 0 2
2 1 2
1 0 1
2 0 0
10 4
1 1 0
2 2 1
2 0 0
2 2 0
2 2 2
1 0 0
1 0 1
0 0 0
0 2 1
0 2 2
10 7
3 1 0
0 1 3
2 3 3
0 1 0
0 3 0
2 0 0
3 3 0
1 0 0
2 1 3
1 1 2
10 9
1 0 2
2 2 0
2 0 0
1 1 2
1 0 0
0 0 2
1 2 1
0 1 1
0 0 1
2 0 1
10 3
0 3 0
0 0 2
1 1 1
2 2 1
0 1 2
3 3 0
1 2 2
1 3 2
2 3 3
0 2 1
10 2
1 1 3
0 2 0
3 0 2
2 2 2
0 3 3
1 0 3
3 3 0
2 2 0
2 0 0
1 3 1
10 3
1 2 2
1 2 1
2 2 0
1 0 0
1 1 1
1 0 2
0 2 0
2 2 1
0 1 0
2 1 1
10 9
0 1 0
2 0 1
2 1 0
2 0 2
0 2 1
0 2 2
0 0 2
2 1 1
2 2 2
0 0 1
10 3
2 0 0
1 2 0
1 3 3
1 3 2
2 3 3
0 3 3
2 1 0
0 2 2
2 1 3
1 1 2
10 4
2 2 0
2 1 0
2 1 1
0 0 3
2 2 1
3 2 1
2 1 3
0 1 0
2 3 2
1 2 3
10 9
3 3 1
2 1 2
0 0 2
3 0 0
2 1 1
2 0 1
1 2 3
0 3 0
3 0 2
3 0 3
10 4
0 2 0
1 3 3
1 1 0
0 3 0
1 2 2
0 2 3
3 0 3
0 3 3
3 0 0
1 1 1
10 7
2 2 1
2 0 2
2 3 3
1 3 0
1 1 3
1 0 2
0 2 0
3 0 2
1 1 2
2 3 0
10 9
3 0 0
3 2 0
0 2 1
3 1 2
3 2 2
1 0 3
0 0 3
3 0 1
3 1 1
1 0 2
10 8
3 0 0
2 2 3
3 0 2
3 0 3
1 2 0
0 2 1
0 0 0
3 1 2
3 3 2
1 0 1
10 7
2 0 0
1 2 1
1 1 1
2 1 0
1 1 0
2 0 2
2 0 1
2 1 2
1 1 2
0 0 1
10 6
2 0 2
1 0 2
2 2 1
1 2 0
0 1 1
2 0 0
1 0 0
2 0 1
1 1 0
0 0 0
10 6
2 1 1
0 1 0
2 1 0
1 1 1
2 1 2
2 2 1
1 0 1
0 2 2
2 2 0
2 0 0
10 3
2 0 2
0 2 1
1 0 1
1 0 2
1 2 2
0 1 0
0 1 1
0 0 1
0 2 2
2 1 2
10 6
0 0 2
3 2 0
3 3 1
3 1 2
1 2 0
3 2 1
1 0 3
2 3 2
0 2 0
1 3 2
10 9
1 0 2
2 2 0
2 2 2
2 0 1
1 1 1
0 1 0
2 1 1
0 2 0
0 0 1
1 2 2
10 3
3 1 3
1 2 0
2 0 1
0 1 2
3 1 2
1 2 2
3 2 1
0 1 3
2 3 1
0 2 0
10 7
1 1 2
3 0 1
2 3 3
1 3 0
2 2 3
3 0 3
3 1 3
2 3 1
2 3 2
1 2 2
10 7
0 3 1
2 2 3
3 0 1
0 2 3
0 1 1
0 3 3
3 2 1
0 1 2
2 0 3
1 1 0
10 9
3 3 0
2 2 0
0 2 3
1 0 3
3 0 0
0 0 0
0 3 1
3 0 1
2 2 2
0 2 0
10 2
2 0 2
0 0 0
1 2 1
2 2 2
1 1 0
1 1 1
0 2 0
2 2 0
2 0 0
1 1 2
10 6
1 0 3
2 3 2
0 2 0
3 2 1
3 0 3
2 2 3
3 1 2
2 1 3
0 2 2
3 1 0
10 8
0 1 1
1 0 2
2 0 0
0 2 1
0 1 2
1 2 0
0 0 0
1 0 1
1 1 0
2 1 2
10 7
2 2 2
0 1 2
2 1 1
2 2 0
1 0 2
1 1 1
1 1 2
1 0 1
0 0 0
2 2 1
10 6
1 0 1
0 1 1
1 1 2
2 1 0
1 3 2
0 1 2
2 2 0
1 2 2
0 1 3
1 1 3
10 2
3 3 0
1 0 2
0 2 2
0 2 0
2 1 0
2 3 3
1 3 1
1 2 1
1 0 3
3 0 0
10 2
3 0 0
3 3 1
3 2 0
0 2 3
0 0 3
2 0 1
3 0 3
3 3 0
1 0 0
2 1 3
10 4
3 2 1
2 3 3
2 2 0
0 2 3
1 0 0
0 1 3
2 0 3
0 3 0
0 3 2
1 1 2
10 7
3 0 2
0 0 1
2 3 0
2 3 1
3 2 3
1 1 1
3 0 3
3 1 3
1 0 1
0 1 2
10 4
2 2 0
2 0 0
2 0 2
1 2 0
2 1 2
0 2 1
1 2 2
0 1 2
1 2 1
2 2 2
10 6
2 2 2
0 1 2
2 0 2
0 2 1
1 1 1
2 1 1
0 1 1
0 0 0
2 2 0
2 1 2
10 8
0 0 2
0 2 1
1 2 0
0 1 1
1 1 1
1 2 1
2 0 0
1 1 2
0 0 0
0 1 2
10 6
1 0 1
0 0 0
2 2 1
1 2 2
0 2 2
0 1 2
1 1 0
2 2 0
1 2 0
2 1 1
10 6
2 0 1
1 0 2
2 1 2
0 0 0
2 0 2
1 2 0
0 1 2
2 0 0
0 1 0
1 1 0
10 8
0 0 0
2 0 2
2 1 0
2 2 0
1 1 1
0 0 1
2 2 1
1 0 0
1 1 0
0 2 2
10 6
1 2 3
1 2 2
3 2 2
3 1 3
1 1 2
0 2 2
1 1 0
1 2 1
3 2 1
0 3 3
10 8
0 2 0
1 0 2
0 2 2
0 1 2
1 0 1
2 1 1
1 2 2
2 0 0
1 1 1
1 1 0
10 4
0 2 0
0 1 0
1 0 2
1 2 2
1 1 1
2 0 1
1 1 0
0 2 1
0 2 2
0 1 2
10 4
0 2 2
0 0 0
0 0 2
2 1 1
1 2 2
1 0 1
1 2 1
0 1 2
0 1 1
2 0 0
10 8
2 1 1
1 1 2
1 0 2
1 0 0
0 0 0
1 1 1
0 0 1
2 2 2
1 0 1
2 2 0
10 4
0 1 2
0 2 0
2 2 2
2 2 0
2 1 1
0 0 0
1 0 2
2 0 1
0 1 0
1 2 0
10 7
2 1 0
0 3 2
1 0 1
0 0 2
0 0 3
2 3 0
1 1 1
0 2 3
3 3 2
3 0 0
10 4
0 2 2
2 0 0
2 0 2
1 0 2
1 2 2
1 1 2
2 2 1
0 0 0
1 1 1
2 1 0
10 6
1 3 1
1 0 3
1 1 2
3 3 2
3 1 1
3 2 1
0 3 0
1 3 3
2 1 3
0 1 1
10 6
0 2 0
2 1 0
1 2 1
0 0 1
0 1 1
1 1 2
2 0 0
1 2 2
1 1 1
1 0 0
10 9
3 3 3
3 2 0
2 1 1
2 3 0
2 0 0
1 1 0
2 2 3
1 2 3
1 3 2
2 0 1
10 8
0 1 0
2 1 1
0 1 2
0 2 1
2 1 0
2 0 0
1 1 2
1 0 0
2 2 0
1 0 1
10 8
2 1 2
2 1 0
3 2 0
2 3 3
1 2 1
0 1 1
1 1 3
0 3 3
0 1 2
0 2 3
10 6
2 0 2
2 2 0
1 2 1
0 1 1
0 1 0
0 2 0
1 1 0
1 2 0
2 1 0
1 2 2
10 5
1 1 2
1 0 0
2 0 0
0 1 2
1 1 1
2 2 0
1 0 1
0 0 1
0 2 1
1 0 2
10 5
1 1 0
0 0 2
1 0 1
2 0 1
1 0 2
1 0 0
2 2 0
2 1 2
2 1 0
0 0 0
10 7
0 0 1
3 0 1
0 3 0
0 3 2
2 1 3
2 2 0
1 0 0
0 0 0
0 1 1
3 1 2
10 9
3 1 2
1 1 3
2 2 3
1 2 3
1 2 0
3 3 2
3 0 0
0 0 1
0 2 2
1 2 1
10 8
2 2 1
0 1 0
0 0 2
0 2 2
1 0 2
2 0 1
1 0 0
2 1 1
1 1 0
2 1 0
10 8
3 3 1
3 2 3
0 0 3
1 0 2
0 0 0
0 2 0
3 2 0
0 1 3
2 0 0
2 0 3
10 3
0 1 1
3 1 0
1 3 0
2 1 1
2 2 1
3 0 0
2 3 2
1 1 0
1 1 3
1 0 0
10 2
1 2 2
1 0 2
0 2 1
0 2 0
1 1 1
2 1 1
1 2 1
2 0 0
2 1 2
1 1 0
10 7
1 0 2
0 2 0
1 2 0
0 0 0
0 1 1
2 0 1
1 2 1
0 0 2
0 0 1
2 1 1
10 9
1 2 1
2 0 2
0 0 0
2 0 0
2 2 1
2 0 1
1 0 1
2 2 2
0 2 2
1 2 2
10 7
2 2 0
0 1 1
1 2 2
1 2 0
2 0 1
0 1 0
0 0 1
1 0 1
0 0 0
0 2 0
10 8
2 0 0
1 3 2
1 2 3
1 1 3
2 2 1
0 0 1
1 3 3
3 1 1
1 1 0
2 0 1
10 3
3 1 0
0 2 0
2 2 2
0 0 0
2 1 2
2 3 1
2 3 0
2 0 3
0 2 1
3 2 2
10 3
0 0 0
2 0 0
2 0 2
1 0 0
1 0 1
2 2 1
1 1 2
0 2 1
0 2 0
0 1 0
10 5
1 1 2
0 0 0
0 1 2
0 2 0
1 1 0
2 2 0
2 1 0
1 0 2
2 2 2
2 0 0
10 3
2 0 2
1 0 2
0 0 2
1 2 2
2 0 1
1 1 2
0 2 0
2 2 2
2 1 2
2 2 1
10 8
2 2 2
3 2 3
1 1 0
2 1 2
1 3 0
2 3 1
0 2 3
1 3 3
0 1 1
3 3 1
10 6
2 2 0
3 3 3
0 2 0
3 1 1
2 3 2
1 1 2
1 0 2
0 1 1
2 2 3
2 0 3
10 2
0 0 0
3 3 3
1 1 2
3 3 1
0 3 3
1 2 2
3 2 3
3 0 1
0 2 2
0 3 0
10 4
2 0 2
2 3 1
1 2 1
2 1 2
0 1 1
1 2 0
3 2 3
2 1 3
0 1 0
2 0 1
10 9
2 2 2
2 3 0
0 1 1
3 0 3
1 0 0
0 3 3
0 0 3
0 1 2
1 2 0
1 0 3
10 8
2 3 2
0 2 1
0 3 3
2 3 0
0 2 2
0 2 0
0 3 0
3 3 2
2 2 1
2 0 0
10 2
2 1 1
0 1 2
2 1 0
1 0 0
0 0 0
1 2 0
0 1 0
2 2 0
1 0 1
0 2 2
10 4
0 1 0
3 3 2
2 1 3
3 2 3
0 2 1
3 2 0
2 0 0
2 3 3
3 1 3
0 2 3
10 5
2 1 0
3 3 2
1 2 2
1 3 0
3 1 1
2 0 3
0 2 2
3 3 0
1 0 1
0 3 3
10 4
1 0 0
0 1 2
0 1 1
2 2 0
1 2 0
0 2 2
0 2 1
0 1 0
0 2 0
1 0 1
10 2
0 2 2
0 0 1
0 0 2
1 1 2
1 2 1
0 0 0
1 1 0
2 1 0
2 0 2
0 2 0
10 3
0 2 1
1 2 2
0 0 1
1 0 0
2 0 0
0 1 2
2 0 2
0 1 1
2 1 0
2 2 1
10 4
0 1 1
1 0 1
3 3 3
3 0 2
2 3 2
1 1 1
3 1 3
3 3 1
3 0 0
0 3 1
10 7
0 3 0
1 2 0
1 1 1
2 3 2
1 1 3
0 0 1
2 0 1
0 0 0
3 2 1
2 2 2
10 3
3 0 2
0 0 1
0 0 3
1 0 3
1 3 0
0 0 0
2 0 2
2 2 0
2 0 1
2 0 3
10 2
1 1 3
0 2 0
2 1 0
2 3 3
0 1 1
2 3 1
3 0 2
2 2 1
1 2 1
2 3 2
10 2
2 1 3
2 0 1
0 3 0
3 3 0
2 2 1
2 0 2
3 1 2
1 2 0
3 3 1
0 2 3
10 3
2 0 1
0 0 3
2 0 3
0 1 3
1 1 3
2 1 2
3 3 0
2 1 1
0 0 1
0 1 0
10 7
2 0 0
1 0 2
0 2 2
1 2 2
1 2 0
0 1 0
1 0 0
0 0 1
2 2 0
1 1 1
10 4
1 2 2
0 0 2
1 1 2
2 2 2
0 0 0
0 0 1
0 2 1
2 0 1
2 0 2
1 2 1
10 6
1 2 0
2 1 2
0 2 0
2 1 1
1 1 0
1 2 1
1 0 0
2 1 0
0 2 2
1 2 2
10 7
2 0 0
2 1 0
1 0 0
2 0 2
0 1 2
0 0 2
0 2 2
2 1 2
1 0 1
1 1 1
10 3
3 2 1
3 3 0
1 2 0
0 0 0
3 0 1
0 2 0
3 1 3
2 1 2
2 0 2
2 1 3
10 4
1 1 1
1 0 0
2 3 2
0 3 2
1 2 0
3 2 3
3 2 1
2 3 3
1 2 1
2 2 3
10 4
2 0 3
3 2 2
0 2 0
1 2 0
1 2 2
2 2 3
1 1 3
3 3 1
1 3 0
1 0 3
10 8
0 2 0
1 2 0
3 2 0
2 3 1
0 0 0
0 0 1
2 2 1
3 0 3
2 1 3
3 0 0
10 7
0 1 2
1 2 0
2 2 0
0 2 0
0 1 0
2 2 2
0 2 2
2 0 1
1 0 2
1 1 2
10 5
2 3 1
1 0 1
0 1 1
1 2 2
1 1 1
1 1 2
1 1 0
0 2 0
1 0 2
2 0 1
10 7
1 2 2
0 1 2
1 1 0
2 1 2
1 1 1
0 0 2
0 1 1
1 0 0
2 0 2
2 0 1
10 2
0 3 0
1 3 2
1 1 1
0 1 2
1 3 3
3 1 3
2 1 3
3 3 1
0 0 3
3 1 0
10 9
3 2 1
1 2 0
0 0 1
1 3 0
3 3 1
0 1 3
0 2 2
2 3 1
1 3 3
0 3 1
10 6
2 0 2
0 0 2
2 1 1
2 2 0
0 1 1
2 2 2
0 2 2
1 1 0
1 0 0
1 2 0
10 7
3 0 2
3 0 3
2 2 3
1 0 2
0 2 3
0 0 0
3 0 0
1 2 1
1 3 1
2 3 2
10 9
0 1 0
0 2 2
1 2 0
0 2 1
2 1 0
2 0 2
0 1 2
2 2 2
1 2 1
2 0 1
10 9
0 1 1
0 1 0
1 0 2
0 1 2
0 0 2
2 2 1
1 1 1
0 2 2
1 2 2
1 2 0
10 7
1 2 1
0 1 3
3 0 3
3 1 0
3 1 2
2 0 0
3 2 3
1 1 0
2 2 2
2 2 3
10 2
1 2 2
0 2 3
0 3 0
1 3 3
3 3 0
0 2 1
0 2 0
1 0 2
0 1 2
2 0 1
10 3
2 2 2
0 3 2
0 2 0
3 3 2
0 3 1
1 1 3
3 3 0
1 0 1
0 3 3
2 3 3
10 9
2 1 3
0 3 1
0 2 0
0 0 2
2 2 1
2 3 3
3 0 2
0 1 0
1 2 0
1 1 0
10 8
0 1 1
1 3 0
1 2 1
2 0 2
1 2 3
1 0 2
0 3 1
1 3 3
0 1 3
2 1 3
10 2
1 0 2
2 1 1
0 0 0
1 1 0
2 1 2
0 1 0
1 0 1
0 0 2
2 0 0
0 1 1
10 2
3 2 1
3 3 3
0 2 1
2 0 2
0 3 2
2 2 3
3 0 3
3 0 0
3 1 3
1 0 3
10 9
0 1 0
1 2 1
0 2 0
2 2 1
2 0 2
1 1 1
2 0 0
0 2 1
1 1 2
2 1 2
10 5
0 0 1
1 1 0
1 1 1
2 0 0
0 1 2
0 2 1
1 0 0
0 0 2
1 0 1
0 0 0
10 5
2 2 3
1 3 3
2 1 0
1 1 2
0 2 2
0 0 0
1 0 0
0 3 2
3 0 1
2 0 0
10 8
1 3 3
1 3 1
2 2 3
2 0 3
1 0 1
0 3 1
0 0 1
2 1 3
3 0 0
0 2 2
10 6
3 3 1
3 3 3
3 1 1
2 1 2
2 3 0
1 2 3
3 0 2
2 3 1
0 1 2
1 0 2
10 4
3 1 0
1 0 3
0 3 0
0 0 2
2 3 1
0 2 0
0 1 0
1 3 2
2 0 3
1 2 1
10 6
1 3 2
3 2 0
2 1 2
2 1 0
1 3 3
2 0 3
1 1 1
1 2 1
2 0 0
3 1 2
10 2
0 2 1
1 2 1
3 2 1
3 0 0
3 2 2
3 3 0
0 0 3
1 1 0
0 3 2
1 1 1
10 7
3 3 1
2 1 0
0 1 3
3 0 0
0 0 3
0 0 2
0 3 3
0 2 0
1 1 0
3 3 2
10 5
3 2 2
3 1 3
0 2 3
0 1 3
0 3 1
2 0 2
1 1 3
2 1 3
0 1 2
0 0 3
10 2
1 1 0
1 2 2
1 1 2
2 2 2
2 1 2
2 0 2
2 1 1
0 1 0
1 2 1
2 2 0
10 6
2 3 3
2 2 1
1 2 1
0 1 3
3 2 3
2 0 3
1 1 2
2 1 3
0 2 3
2 2 3
10 9
2 3 2
0 2 1
2 0 2
2 1 2
3 0 1
0 0 0
0 3 1
3 1 1
1 1 3
2 0 1
10 6
1 0 0
0 0 0
1 2 1
0 1 0
1 1 1
0 2 1
1 0 2
0 0 1
2 0 0
0 2 0
10 2
1 1 2
0 1 1
0 2 3
0 0 1
0 1 0
2 0 0
0 3 0
3 1 0
0 1 3
1 3 2
10 6
2 1 1
0 2 1
1 1 2
2 0 0
0 1 0
2 0 2
0 0 1
2 2 2
0 1 1
1 2 0
10 2
3 1 3
2 3 1
1 1 3
1 1 2
3 3 1
0 2 3
2 1 0
1 1 1
3 3 3
1 3 2
10 9
1 1 0
1 2 3
0 1 2
0 2 3
0 1 3
2 0 0
0 1 0
3 2 2
2 3 0
2 1 1
10 3
3 2 0
3 3 0
1 2 3
2 0 2
2 3 0
1 3 0
0 0 0
1 3 3
3 2 2
1 1 2
10 6
0 2 0
0 0 1
1 0 1
1 1 2
0 0 0
2 2 1
2 1 0
0 1 2
1 2 0
0 1 1
10 8
0 0 2
3 1 2
1 1 3
1 0 3
3 0 2
2 2 0
1 3 3
2 1 2
3 3 0
1 2 3
10 6
1 3 2
0 1 2
1 3 1
2 2 1
0 0 0
2 0 1
1 2 3
3 0 3
1 0 2
0 2 1
10 2
1 2 2
2 3 1
1 0 2
1 3 0
2 1 2
2 1 3
0 1 1
1 3 3
1 1 2
0 3 1
10 9
0 0 1
2 2 0
1 1 2
2 0 2
1 2 0
0 1 0
0 2 2
0 1 2
1 2 2
0 2 0
10 6
0 1 0
2 3 2
3 1 2
3 0 0
0 2 2
2 1 2
2 1 0
1 3 1
1 1 2
1 1 3
10 8
0 1 2
2 2 0
0 0 0
1 1 0
2 1 2
1 0 0
0 2 0
0 1 1
0 2 1
2 0 2
10 5
3 0 3
3 2 2
2 3 1
1 3 2
3 3 2
3 1 3
2 1 2
1 0 3
2 1 3
3 2 3
10 6
1 2 2
3 2 0
1 0 0
1 2 3
3 1 0
2 3 0
2 1 2
3 0 2
2 0 1
1 1 1
10 9
2 0 2
2 1 0
0 0 2
2 2 0
1 1 0
1 0 2
1 1 1
0 1 2
0 1 0
0 1 1
10 4
3 0 0
3 0 2
3 1 2
0 1 0
1 2 2
1 0 3
1 0 0
3 2 2
3 1 0
1 3 1
10 8
2 0 0
2 3 3
3 1 1
0 3 1
0 0 2
3 3 3
0 1 2
2 1 2
2 0 2
3 3 0
10 4
0 1 0
2 2 1
0 2 0
2 1 1
1 1 2
0 2 2
1 0 1
2 1 0
0 2 1
2 2 0
10 2
1 2 0
0 2 0
0 1 3
1 3 0
3 3 1
2 0 3
0 2 3
2 0 1
0 1 1
0 0 1
10 2
0 2 2
1 0 2
1 2 0
1 1 2
0 1 0
0 1 1
0 0 0
2 2 1
2 0 0
2 0 2
10 7
2 1 0
1 0 2
2 2 3
3 1 2
3 2 3
2 2 0
3 1 3
1 0 1
1 3 1
3 0 3
10 5
2 0 1
2 1 0
1 0 1
1 1 0
0 0 2
0 1 1
1 0 0
1 1 1
2 2 2
0 0 0
10 8
3 2 1
1 2 3
0 2 1
1 3 3
1 0 2
3 1 0
0 3 3
1 0 0
3 1 2
0 2 0
10 6
1 2 0
2 2 3
1 0 0
1 2 2
3 0 3
0 1 0
0 2 2
1 1 2
1 2 3
0 3 1
10 9
3 2 0
3 0 2
0 3 3
0 1 1
0 2 1
0 1 3
1 0 2
0 3 0
0 2 2
3 1 1
10 8
0 0 1
0 1 1
1 1 1
2 2 0
1 1 2
0 2 0
2 0 2
2 0 0
1 0 0
0 0 2
10 7
0 1 2
1 2 1
1 1 1
1 0 0
0 1 1
0 2 0
1 1 2
2 1 0
2 0 0
0 0 2
10 3
2 2 1
1 2 1
1 1 0
2 0 2
0 2 0
2 0 0
0 1 0
1 2 0
1 0 2
0 1 2
10 8
2 1 2
0 0 1
2 1 0
2 2 1
1 1 2
0 1 1
1 2 2
0 2 0
1 2 1
2 2 2
10 8
2 0 2
2 2 0
2 2 2
0 2 0
3 3 0
3 0 2
3 2 0
1 2 3
2 1 1
3 1 2
10 6
3 3 1
2 0 0
0 1 0
1 3 3
0 0 2
0 2 0
0 0 1
2 2 3
3 1 0
2 2 2
10 6
1 0 0
1 0 1
2 1 2
0 1 0
2 1 1
2 2 0
1 2 2
1 1 0
1 2 0
0 0 0
10 3
1 2 2
0 2 0
1 1 1
0 2 1
0 1 1
0 0 2
1 1 0
0 2 2
1 0 2
0 0 1
10 3
1 2 0
1 0 1
1 1 2
2 1 2
2 1 0
2 2 1
0 0 2
2 2 2
0 1 1
2 0 1
10 5
2 0 1
2 2 0
1 1 1
0 1 1
1 2 1
3 0 2
0 2 2
1 3 2
1 0 2
2 2 1
10 8
1 1 2
0 2 2
2 1 0
0 0 1
1 2 1
0 2 1
2 1 1
0 1 0
2 0 0
2 2 2
10 6
2 1 2
1 2 0
1 0 2
2 2 1
1 0 1
1 1 0
0 2 1
2 1 0
0 1 2
1 1 2
10 3
0 2 1
0 2 0
1 2 0
1 1 0
0 0 2
2 2 1
1 2 2
0 1 1
0 1 2
2 0 0
10 3
0 2 0
2 2 1
1 1 2
2 0 2
0 2 2
0 1 0
1 2 0
1 2 1
2 0 0
1 0 2
10 8
3 2 1
1 1 0
3 2 3
2 3 3
3 1 3
2 0 0
1 3 1
2 3 2
3 1 1
0 3 0
10 3
2 1 3
0 2 0
2 1 2
0 2 2
3 2 3
0 3 1
3 0 2
3 0 3
2 3 3
2 3 2
10 5
2 2 1
0 2 2
2 1 0
1 2 2
0 2 0
0 1 2
2 1 1
2 0 1
2 2 0
0 0 0
10 4
1 1 2
1 0 1
2 2 1
2 0 2
0 1 0
0 0 2
0 0 0
1 2 2
2 2 2
2 1 0
10 5
3 2 3
3 0 3
3 2 0
2 2 0
2 3 1
3 1 1
1 1 1
2 0 2
0 1 1
3 0 0
10 4
1 3 3
0 1 0
1 1 2
2 2 3
1 2 2
1 2 1
1 3 0
2 2 1
1 2 0
3 2 3
10 9
1 1 2
2 1 0
1 2 0
0 0 2
2 2 1
2 1 1
1 1 0
1 1 1
0 0 0
0 1 1
10 6
1 3 0
0 2 3
3 2 0
3 3 2
1 0 0
3 0 3
0 3 1
2 3 2
2 0 2
3 0 1
10 5
1 1 1
1 1 2
0 1 2
0 2 2
2 0 2
0 0 1
0 1 0
2 1 1
0 0 2
2 2 2
10 7
1 1 0
1 1 1
0 0 1
2 1 2
1 2 0
0 1 1
1 0 1
1 1 2
2 0 0
1 2 1
10 4
0 0 0
3 1 0
1 0 3
0 2 2
3 2 1
0 3 1
1 1 1
1 2 1
3 3 3
3 3 1
10 4
1 0 2
2 1 2
2 1 1
1 0 1
2 0 2
1 2 1
2 2 1
2 1 0
0 0 1
0 0 0
10 7
0 3 3
0 2 2
0 2 3
1 3 2
1 0 3
0 1 1
3 2 2
3 3 1
3 2 1
2 2 0
10 3
3 3 2
0 2 0
1 0 2
0 2 1
0 2 3
2 0 1
1 3 0
0 1 3
3 1 3
2 3 2
10 6
1 3 3
1 1 1
1 3 2
2 1 2
3 3 1
3 0 0
1 1 3
3 2 0
2 1 3
1 2 0
10 8
1 0 3
1 1 3
1 3 0
1 0 0
1 3 3
2 0 2
0 0 2
3 3 1
3 1 1
1 1 2
10 8
1 1 2
1 1 0
2 1 0
0 1 2
0 0 1
2 1 1
1 0 1
2 0 2
0 2 1
0 2 0
10 4
2 2 0
0 3 3
2 3 1
0 2 3
2 0 1
0 3 2
3 3 1
3 1 2
1 0 0
3 0 3
10 7
2 1 1
1 1 0
1 1 2
0 2 0
3 1 1
0 0 2
1 3 3
0 0 3
3 1 2
1 2 0
10 5
1 1 1
2 0 2
0 2 1
2 1 0
1 0 1
1 2 2
2 0 0
1 1 2
0 2 2
0 2 0
10 6
3 3 1
3 1 2
3 1 3
0 3 2
1 2 3
0 3 0
3 3 0
1 3 3
2 2 1
3 0 0
10 3
3 3 0
1 1 3
0 0 1
0 0 0
3 2 3
2 2 1
3 0 3
3 1 2
3 0 0
1 1 1
10 2
0 2 0
1 2 1
0 0 2
2 1 0
2 2 0
0 1 1
1 0 2
0 1 2
1 0 0
0 2 1
10 8
3 3 3
0 2 0
3 2 1
1 0 2
1 3 0
3 2 2
2 0 1
1 1 0
0 0 1
2 3 2
10 8
0 1 0
0 3 2
0 1 1
3 1 0
2 2 1
2 0 3
2 1 0
2 2 2
3 3 1
1 2 3
10 3
1 0 1
2 2 0
0 1 1
1 0 2
0 0 2
0 0 0
2 0 0
1 2 0
0 0 1
1 1 1
10 8
1 2 2
1 2 1
0 0 2
0 1 1
2 2 2
2 1 0
1 1 2
1 0 0
1 0 1
0 0 0
10 8
1 2 0
1 1 1
0 2 3
1 1 0
3 3 3
3 1 2
3 3 2
0 3 3
0 2 2
2 3 1
10 7
1 0 1
1 0 0
2 0 2
1 2 2
2 2 0
1 2 0
1 1 2
0 1 1
0 0 0
0 0 2
10 8
3 2 3
1 2 3
3 0 3
0 0 1
3 0 0
2 1 2
0 1 2
0 0 0
3 3 1
3 0 2
10 6
0 1 3
3 2 0
0 1 2
3 3 1
1 0 1
2 0 1
0 2 2
1 0 2
2 2 1
3 3 0
10 5
0 3 2
3 0 3
0 2 2
2 3 0
2 2 2
2 3 2
1 3 3
3 3 1
2 1 0
0 0 3
10 7
1 0 2
0 0 2
0 2 0
2 2 0
1 2 2
2 0 2
0 2 1
1 0 1
2 1 0
1 2 0
10 6
0 2 1
1 1 0
2 2 0
0 2 0
2 1 1
0 1 2
0 2 2
0 0 1
1 2 0
1 2 2
10 4
1 0 2
2 0 1
0 1 2
0 1 0
2 0 2
0 2 0
1 0 1
0 0 0
2 0 0
0 1 1
10 4
1 1 1
2 2 0
1 2 2
1 2 1
0 1 0
1 0 1
2 1 0
0 0 0
0 1 1
1 1 0
10 3
1 2 2
0 2 1
1 0 1
0 0 2
1 2 1
0 0 0
2 0 1
2 0 2
2 1 1
1 1 0
10 8
0 0 2
0 2 0
2 2 1
1 0 2
1 1 0
0 0 1
1 2 2
0 2 1
0 0 0
0 1 1
10 9
2 0 2
3 3 3
1 2 1
2 2 1
2 3 2
3 3 1
1 1 0
0 2 1
0 1 3
1 1 3
10 3
2 1 1
1 0 2
0 1 2
2 1 2
2 1 0
0 2 1
0 2 2
2 2 2
0 0 0
2 2 0
10 6
0 2 2
1 1 1
0 1 0
2 0 1
0 0 1
2 0 0
1 2 0
1 0 1
1 1 2
2 1 0
10 4
1 2 0
0 2 2
0 0 2
2 1 2
1 1 2
1 2 2
2 1 1
1 1 0
0 1 1
2 2 1
10 8
0 2 2
1 1 0
3 2 1
0 3 2
1 1 2
1 2 3
3 3 0
1 1 3
0 1 0
3 1 1
10 6
2 0 1
2 1 2
0 2 2
1 2 1
0 0 2
2 0 2
2 2 0
2 2 1
1 1 1
0 0 1
10 4
2 0 2
1 0 2
0 0 2
1 3 1
3 3 0
2 2 3
1 3 0
0 3 2
0 3 1
3 2 0
10 9
3 1 0
1 1 3
3 2 2
3 0 2
2 1 3
0 3 2
2 0 1
0 0 1
0 3 1
1 0 0
10 2
3 2 2
1 1 1
0 0 1
1 2 1
3 3 0
0 0 2
0 2 0
3 3 1
2 0 1
1 1 2
10 9
3 2 0
1 3 2
2 2 2
3 0 2
3 3 0
0 1 1
3 2 1
3 3 3
2 2 0
0 0 3
10 2
0 1 1
0 2 2
1 3 1
0 1 3
3 2 2
1 1 0
1 1 2
0 2 0
0 2 1
3 1 1
10 9
0 2 0
0 2 3
1 2 2
3 0 2
0 1 3
3 0 3
2 0 1
3 2 1
2 2 0
2 2 3
10 5
2 0 2
1 1 2
1 0 1
2 1 0
0 2 2
1 2 0
2 1 1
2 1 2
0 2 0
0 2 1
10 7
0 0 1
2 0 0
3 0 0
3 3 3
1 1 3
0 1 0
0 0 3
1 2 3
3 0 1
1 3 0
10 7
1 2 2
1 2 1
1 2 0
0 0 0
2 2 2
2 0 1
0 0 2
0 1 0
2 1 1
0 2 2
10 5
2 3 3
1 3 0
1 0 0
2 1 0
2 2 0
0 3 1
2 0 3
3 0 1
3 3 3
2 3 2
10 5
1 0 0
2 1 1
0 1 0
2 0 2
0 0 1
0 0 2
1 1 2
0 2 2
2 2 2
2 1 0
10 4
2 2 0
2 0 1
1 2 0
2 1 2
0 0 2
1 2 2
1 2 1
1 0 2
2 2 2
2 0 2
10 2
2 3 2
1 2 0
2 2 1
0 1 1
3 1 1
3 0 0
1 1 1
3 1 2
3 0 1
1 3 0
10 4
0 1 1
0 0 0
0 0 1
2 2 0
1 0 2
0 2 0
1 2 2
1 0 0
2 0 1
1 2 1
10 3
2 1 3
0 0 0
2 2 1
3 0 3
3 0 2
2 0 3
2 2 2
2 2 3
2 2 0
1 1 1
10 4
0 3 1
1 0 2
0 1 1
0 0 2
1 2 1
0 3 0
2 1 1
2 0 2
3 3 0
2 1 2
10 6
3 0 1
1 0 1
0 2 1
2 3 2
2 0 0
0 1 3
2 1 1
0 3 0
3 3 2
2 0 2
10 4
1 1 2
1 3 3
2 3 3
0 0 2
0 2 0
1 0 3
3 2 3
1 3 1
0 0 0
1 2 3
10 9
1 1 0
3 3 2
2 0 0
1 0 0
3 0 0
2 0 3
1 1 2
2 2 1
3 0 2
0 1 3
10 9
1 2 0
2 0 1
0 1 2
1 2 1
2 2 2
0 0 0
2 1 2
0 1 1
1 1 2
2 1 1
10 3
0 1 3
2 0 1
2 3 0
3 3 0
0 3 2
3 3 1
3 0 0
1 3 0
3 2 2
0 0 3
10 5
1 2 2
2 2 3
1 1 3
3 1 3
2 0 2
0 1 0
3 3 0
1 1 1
1 3 3
3 2 3
10 3
2 1 1
2 2 1
1 1 1
0 0 1
0 2 0
0 2 2
0 0 2
2 1 0
2 0 0
2 1 2
10 6
3 2 2
1 1 3
2 3 1
2 1 3
0 1 0
2 3 2
2 1 2
3 0 3
1 1 0
2 2 3
10 8
1 2 1
3 1 0
2 1 1
2 1 3
0 2 3
3 2 0
1 2 2
1 0 1
1 3 3
1 2 0
10 2
2 0 1
1 0 1
2 1 2
2 1 0
0 1 1
2 2 2
2 0 0
2 1 1
2 2 1
1 2 2
10 2
3 1 2
1 0 1
0 3 0
3 2 3
3 0 3
2 3 1
1 3 1
1 2 0
0 2 2
1 3 3
10 2
2 2 2
2 2 1
0 1 1
0 2 2
2 1 2
2 1 0
1 2 0
1 1 1
1 1 0
0 2 1
10 2
2 1 2
0 0 2
0 1 2
0 0 1
2 2 2
0 2 0
1 0 2
2 0 1
2 1 0
2 2 0
10 8
2 1 0
2 0 1
1 0 2
0 2 1
0 0 1
1 2 1
0 2 0
1 0 0
2 1 1
2 1 2
10 4
1 3 3
0 1 2
3 3 1
3 3 2
1 0 1
3 1 3
3 3 3
0 3 0
1 1 0
3 2 2
10 5
2 1 0
0 2 1
0 1 0
0 0 0
1 2 1
0 1 2
1 1 1
0 2 0
1 0 2
2 0 0
10 3
1 3 2
1 0 0
1 2 2
1 3 3
2 1 0
3 1 2
1 2 1
0 2 1
3 2 3
2 0 3
10 6
1 2 1
0 0 0
2 2 0
0 2 0
2 1 2
1 0 2
1 1 0
2 1 1
0 1 0
2 2 1
10 5
3 3 2
3 1 3
3 1 1
2 3 2
1 2 0
3 3 3
0 0 3
1 3 0
1 3 3
1 0 3
10 6
2 1 1
3 1 2
3 0 1
1 2 1
2 2 0
0 3 1
2 1 3
1 0 3
1 0 2
2 3 0
10 2
0 2 2
1 3 2
2 3 0
1 0 3
2 0 3
0 1 3
2 2 0
0 0 2
3 0 3
3 2 1
10 5
1 1 2
0 0 2
2 1 0
0 1 0
2 0 0
0 1 2
0 0 1
1 2 0
1 1 0
2 2 1
10 5
1 2 0
2 2 1
3 1 2
0 3 2
3 0 3
1 0 1
1 1 2
3 0 2
1 0 0
2 3 3
10 3
0 1 0
2 1 2
2 0 0
1 0 2
0 2 0
0 0 1
1 2 1
1 2 2
2 0 2
1 2 0
10 2
0 2 0
3 0 1
1 2 1
2 1 3
1 1 1
3 3 2
0 3 2
1 1 0
1 0 0
2 2 1
10 9
1 1 2
0 0 1
2 1 2
2 2 1
1 0 1
1 2 1
2 2 0
1 1 1
1 2 2
2 0 1
10 3
1 1 2
1 2 2
1 2 1
1 0 2
1 2 0
1 1 1
1 1 0
2 0 2
0 2 0
1 0 0
10 3
3 0 3
3 2 1
1 2 1
1 1 1
1 0 1
2 1 0
1 3 0
0 1 2
2 1 2
2 2 3
10 7
2 3 2
0 0 0
1 2 3
3 3 1
2 1 2
0 1 3
3 1 3
0 3 2
3 1 0
1 3 2
10 4
0 2 0
1 1 0
2 2 1
0 0 2
1 0 0
2 2 2
0 2 2
0 1 0
1 1 2
2 0 2
10 4
0 3 2
1 3 3
0 0 3
1 0 2
2 2 3
1 3 1
1 0 0
0 1 3
3 3 1
1 2 0
10 6
2 3 1
3 2 3
2 0 1
1 1 1
2 0 0
3 3 0
0 0 2
1 1 3
2 3 3
0 2 1
10 7
2 1 3
2 3 1
0 1 1
0 1 2
3 2 2
0 2 3
2 2 0
2 3 3
2 3 0
1 2 1
10 7
3 1 1
2 0 1
1 3 0
3 0 3
2 3 2
3 1 3
1 3 2
1 0 0
1 0 2
0 2 1
10 4
1 0 0
0 1 0
0 2 1
2 1 0
1 0 1
2 2 2
1 2 2
1 1 0
2 0 0
0 0 1
10 2
2 0 2
2 0 0
0 1 0
1 1 3
2 1 3
1 2 3
2 3 1
0 3 1
2 3 0
1 0 1
10 3
1 1 1
0 1 1
1 2 0
0 1 0
2 2 2
1 1 0
0 0 1
0 0 0
2 0 0
2 1 0
10 6
2 1 3
3 3 0
0 1 0
3 3 2
3 0 2
3 0 0
2 1 1
0 3 1
3 1 3
2 2 3
10 9
3 3 3
2 3 0
2 1 0
3 2 1
2 0 2
1 3 0
2 3 3
2 0 1
1 1 0
0 0 0
10 4
0 2 0
1 2 1
2 0 2
2 2 1
1 1 2
0 0 2
1 1 1
0 0 0
0 1 0
2 2 2
10 2
0 2 0
2 1 0
2 1 2
2 2 2
0 1 0
1 2 0
0 2 1
2 2 1
2 0 0
1 2 1
10 3
2 1 3
3 3 1
3 0 0
1 3 2
3 1 2
1 1 1
2 0 0
1 0 2
2 3 1
3 3 0
10 5
2 0 2
1 2 3
1 2 2
3 1 0
2 1 2
1 2 0
2 1 3
2 2 0
1 3 2
0 2 1
10 4
3 0 1
1 3 0
3 0 0
1 1 1
3 2 0
1 0 1
3 3 2
2 1 2
3 0 2
2 2 2
10 8
1 1 0
3 1 2
2 0 0
2 3 0
2 1 1
0 1 0
2 1 0
0 2 0
3 0 1
2 2 2
10 2
1 1 3
2 1 1
3 0 3
3 3 1
1 2 3
0 3 1
1 3 0
2 2 0
3 1 1
1 3 3
10 9
0 2 0
1 1 2
1 0 1
2 2 1
1 1 0
2 1 1
0 1 0
0 0 1
2 1 2
2 0 0
10 9
3 1 1
3 1 2
2 3 0
0 0 2
2 0 0
0 3 3
3 2 1
0 0 1
1 1 3
0 0 0
10 3
1 0 2
1 2 2
0 0 2
1 1 1
1 2 0
1 0 0
2 2 0
0 2 0
0 1 0
2 0 2
10 4
0 0 0
2 2 0
1 2 1
2 2 1
1 0 0
2 1 1
1 0 1
1 2 0
0 2 2
1 2 2
10 6
2 2 1
0 0 2
0 2 1
0 2 2
2 0 0
2 2 0
1 1 1
2 1 1
1 0 0
2 0 2
10 4
1 1 3
1 1 0
3 1 0
3 3 1
2 1 0
3 1 3
3 1 1
1 1 1
1 0 1
3 1 2
10 4
1 2 1
0 1 0
1 2 2
1 0 0
1 1 0
0 0 1
1 2 0
0 2 0
1 0 1
0 1 2
10 7
1 2 3
1 0 2
1 0 3
3 3 1
0 0 3
2 1 1
1 0 1
2 0 1
0 2 0
0 3 2
10 6
0 1 2
3 1 2
0 1 1
2 3 0
1 0 1
0 1 3
1 1 0
3 2 2
1 3 2
3 3 0
10 2
1 2 1
0 0 1
2 2 0
2 2 1
2 0 2
2 1 0
1 0 1
1 0 2
1 1 0
0 1 0
10 9
2 2 3
0 0 1
2 2 0
1 3 2
0 3 3
0 2 1
3 1 1
0 0 3
2 1 3
3 0 0
10 9
2 2 1
3 0 0
3 3 0
0 2 3
1 0 2
3 3 2
0 0 0
1 0 1
0 1 1
3 2 0
10 2
0 1 2
2 2 1
2 0 1
1 1 2
0 0 0
2 1 0
1 1 1
1 0 2
1 0 0
0 0 2
10 6
0 2 2
1 1 2
2 1 0
0 1 0
0 0 1
0 2 0
1 1 1
0 2 1
1 0 1
2 2 2
10 3
2 0 2
1 1 1
2 0 0
0 0 2
2 2 2
1 0 1
0 2 1
1 0 2
0 0 0
2 2 1
10 6
2 0 1
1 0 2
1 1 2
1 1 0
2 1 2
2 1 1
1 2 2
0 1 2
0 1 0
0 2 0
10 8
1 1 1
0 1 2
2 2 2
2 2 1
2 0 1
2 1 0
2 1 1
0 2 0
1 2 0
1 0 1
10 4
0 1 1
2 0 0
0 2 1
0 0 0
1 2 0
2 2 2
2 1 1
2 2 0
2 0 2
1 0 0
10 9
0 2 2
0 0 0
1 1 1
1 1 0
2 2 1
2 0 1
0 1 2
1 0 2
1 2 0
2 1 1
10 8
2 0 1
3 1 3
2 2 0
3 0 0
3 2 0
1 3 3
2 1 1
3 1 0
0 3 0
1 1 0
10 4
0 1 1
0 2 2
0 2 1
2 1 2
1 0 1
2 2 1
1 1 0
1 0 0
1 1 2
0 1 0
10 7
3 3 0
3 1 3
2 3 0
3 3 3
1 0 2
2 2 0
0 1 3
0 2 1
0 3 0
2 3 3
10 4
1 1 2
2 2 2
0 2 0
0 2 2
1 3 2
1 2 2
1 3 1
0 1 0
2 0 3
0 1 3
10 2
0 0 0
2 2 0
0 2 2
1 1 2
2 1 0
0 1 2
2 2 2
2 1 1
1 0 0
0 0 2
10 8
2 1 1
0 0 1
1 1 2
2 2 2
0 1 3
2 3 1
3 3 1
1 1 1
2 2 3
1 1 3
10 3
2 1 0
1 2 0
2 2 0
0 1 0
2 0 1
1 0 1
0 1 2
0 0 1
0 2 0
1 0 2
10 4
3 3 1
1 2 1
2 0 2
3 0 1
1 0 3
3 2 3
1 0 0
3 1 0
0 0 2
1 1 0
10 2
1 3 3
2 3 3
3 0 2
1 0 1
1 2 0
0 3 2
0 2 1
2 0 0
2 1 2
1 0 0
10 8
0 0 1
1 0 2
2 0 0
0 0 0
1 2 0
1 0 1
1 1 1
1 2 1
2 0 2
2 2 0
10 8
3 2 2
1 0 1
1 2 2
2 1 3
1 1 2
1 2 0
3 1 1
3 0 2
2 2 3
3 3 3
10 7
1 3 3
3 2 3
0 3 1
3 3 0
0 2 2
1 1 2
3 0 1
1 1 3
0 1 3
3 2 0
10 5
1 0 0
2 1 1
3 1 3
2 3 1
0 0 2
0 3 3
0 1 1
1 1 3
0 0 0
3 3 0
10 3
1 2 0
0 2 1
3 0 0
3 2 3
2 1 1
2 1 3
3 1 2
2 0 0
3 2 0
3 0 1
10 4
3 3 1
2 2 1
2 0 3
0 0 0
3 1 2
3 0 3
3 2 0
0 1 2
3 2 2
1 3 1
10 9
3 1 3
3 2 2
2 2 0
2 0 0
3 0 2
0 3 3
1 2 0
0 0 2
3 2 0
0 0 1
10 8
0 1 1
1 1 0
2 0 2
2 1 1
0 0 0
1 0 0
0 2 1
0 0 2
1 1 2
0 1 0
10 8
2 2 0
0 2 2
2 2 1
1 0 0
0 2 0
1 1 0
1 2 1
0 1 2
1 0 2
1 0 1
10 2
2 2 0
0 2 1
1 1 1
2 0 0
1 0 0
1 2 0
1 2 2
2 1 1
1 0 1
0 0 2
10 5
2 2 3
3 1 2
2 2 0
2 0 1
0 0 3
1 2 2
2 3 2
1 3 0
1 0 3
0 3 0
10 3
2 1 0
1 1 2
0 1 0
0 2 2
1 2 2
2 0 0
2 0 2
0 2 0
0 1 1
1 2 0
10 9
1 2 1
2 1 2
2 0 2
1 0 0
1 2 0
1 1 0
0 2 1
2 0 1
0 0 0
0 2 2
10 5
2 0 0
0 2 3
1 1 1
3 2 1
0 2 2
2 2 3
0 1 3
1 1 2
2 1 0
0 0 0
10 4
2 0 1
0 2 0
1 1 2
0 2 1
2 1 2
0 2 2
2 2 1
2 0 0
1 0 0
2 1 0
10 2
0 0 3
2 3 3
2 2 3
2 2 1
3 2 3
1 3 2
2 2 2
0 1 3
3 3 2
2 3 2
10 7
1 0 2
1 1 1
2 0 0
0 0 3
0 2 2
0 2 0
1 3 2
3 3 2
3 3 1
3 2 0
10 7
0 1 1
2 2 1
1 1 1
1 0 0
2 0 1
2 0 0
1 2 0
0 2 0
0 0 1
1 1 0
10 7
0 1 1
1 0 0
2 2 1
2 0 2
2 2 2
1 1 1
2 2 0
1 2 0
1 1 2
0 2 1
10 4
0 2 3
0 0 3
3 3 0
2 0 2
1 2 3
2 1 0
0 2 2
2 1 1
3 0 0
0 2 0
10 2
0 2 2
0 3 2
1 0 2
3 1 2
1 2 3
2 1 1
3 2 2
2 3 2
0 3 0
3 1 3
10 6
0 2 2
2 1 1
0 2 0
1 0 0
2 1 2
2 2 0
1 1 0
0 0 0
2 0 1
2 0 2
10 6
1 0 1
0 1 3
2 0 2
2 3 0
1 3 3
3 2 2
2 2 2
3 3 1
2 1 2
0 1 0
10 2
0 3 0
2 3 2
1 2 1
2 2 3
1 0 1
1 1 0
3 1 1
3 0 3
2 1 2
2 0 0
10 2
2 2 0
0 1 0
1 2 2
2 1 2
1 2 0
0 1 1
1 1 1
0 1 2
1 1 0
2 1 0
10 5
1 2 1
1 2 0
2 0 0
0 0 0
0 0 2
1 0 1
0 1 2
1 1 1
2 0 2
2 2 0
10 6
2 1 0
2 3 3
3 2 0
3 0 3
3 2 1
2 1 3
1 2 3
1 3 3
2 2 1
0 0 1
10 6
0 2 3
0 1 0
0 1 1
1 2 3
0 2 2
2 0 3
3 2 3
2 2 3
3 0 0
2 3 0
10 7
1 1 1
3 2 1
2 1 1
0 3 0
0 0 0
3 3 2
3 3 1
2 2 2
1 3 0
0 2 0
10 5
3 2 3
3 2 2
2 2 0
0 2 1
1 0 1
3 2 0
2 0 2
3 1 3
3 3 1
1 1 0
10 9
2 2 1
2 1 2
1 0 2
0 0 2
0 0 0
1 0 0
2 0 2
0 0 1
1 2 1
0 2 1
10 9
1 0 3
0 2 0
0 2 2
2 3 0
3 3 1
2 0 2
1 0 0
0 0 0
3 1 1
0 2 3
10 8
2 0 0
1 1 0
1 0 1
1 2 1
0 0 0
0 0 2
1 0 0
2 1 0
2 2 1
0 1 0
10 6
0 2 0
1 0 2
2 2 0
1 0 1
0 0 0
1 2 2
0 1 1
2 1 0
2 1 2
0 0 2
10 9
2 2 2
2 0 0
1 0 1
0 0 1
0 2 2
0 1 2
2 1 2
0 2 0
2 2 0
2 1 0
10 6
1 1 1
2 2 1
1 2 1
0 0 2
2 1 1
0 1 1
1 1 2
0 2 0
0 1 0
2 2 2
10 7
0 1 3
2 2 3
0 2 2
1 3 0
3 3 1
3 3 2
1 0 1
1 1 2
2 1 1
0 0 1
10 2
1 1 2
2 1 0
0 0 0
1 1 1
0 2 2
0 1 2
1 0 2
1 2 1
0 0 1
2 1 2
10 9
0 1 1
0 2 1
2 0 1
2 2 0
0 0 0
1 0 1
0 0 1
1 1 0
1 1 1
0 2 2
10 5
1 1 0
3 3 3
1 3 1
3 3 1
2 2 2
1 0 2
0 2 3
0 0 3
3 0 0
1 2 3
10 5
3 0 3
3 3 2
1 3 3
2 0 1
2 3 1
0 3 2
1 1 3
1 3 2
0 1 2
1 3 0
10 6
3 2 2
1 3 1
1 3 3
2 0 1
1 3 0
2 2 3
1 1 1
0 3 3
1 1 2
0 0 3
10 6
0 0 0
1 0 2
2 1 0
2 2 2
1 2 1
1 2 2
1 2 0
2 0 1
0 1 2
0 1 1
10 7
1 1 0
2 0 1
0 1 0
0 0 2
0 0 0
2 2 0
0 2 2
0 1 1
1 2 2
2 2 2
10 5
1 0 3
0 1 1
1 1 1
1 2 3
0 2 1
3 3 3
3 2 1
2 3 0
0 2 3
3 2 3
10 9
0 2 2
2 0 2
1 1 1
2 2 1
0 1 2
2 0 0
1 1 2
2 1 2
0 1 0
2 0 1
10 4
2 1 2
1 2 2
1 1 0
2 0 1
0 1 1
1 0 2
0 1 0
0 0 2
0 2 1
1 2 0
10 3
1 3 1
3 3 2
2 2 1
1 1 0
2 1 1
3 3 3
1 0 1
1 0 0
2 1 2
2 2 2
10 8
2 1 2
2 0 2
0 1 2
1 1 1
0 2 2
0 0 0
0 0 1
2 2 2
1 2 0
1 2 1
10 8
2 1 1
3 0 1
0 1 1
3 3 3
0 1 3
2 0 0
3 0 2
3 2 0
0 1 0
1 2 0
10 9
1 2 0
2 2 1
1 2 1
0 1 0
0 3 3
1 0 3
1 1 0
3 2 0
2 3 1
0 0 0
10 3
2 2 3
2 1 2
1 1 1
2 1 0
3 3 0
0 3 0
1 1 3
0 0 1
0 3 2
0 1 3
10 9
1 1 0
3 2 0
2 3 1
2 1 3
2 2 1
0 2 2
0 1 1
1 0 3
1 3 2
0 3 2
10 7
1 3 0
2 2 0
0 0 1
0 3 0
1 3 2
1 2 3
1 0 3
3 0 1
2 1 0
0 2 1
10 5
2 2 2
3 0 0
3 2 0
1 3 1
1 2 3
1 3 0
2 3 0
2 1 1
2 2 3
2 1 3
10 9
1 1 3
1 2 3
3 1 1
2 2 1
3 2 2
2 3 3
2 1 2
2 3 1
0 1 2
3 3 2
10 8
1 1 1
1 2 3
2 0 2
0 1 1
2 0 1
3 3 2
1 3 1
2 3 1
2 1 1
0 3 2
10 9
0 1 0
2 0 2
3 1 0
1 2 3
3 0 1
2 3 3
1 1 3
0 2 0
2 2 3
0 2 3
10 3
2 2 1
1 1 2
0 0 1
1 1 1
0 1 0
0 1 1
1 0 0
1 2 2
0 0 2
1 2 1
10 4
3 0 2
1 2 2
3 1 2
1 1 1
1 2 1
2 3 2
0 0 3
0 1 1
3 0 0
1 2 0
10 7
1 2 1
0 2 3
1 0 3
0 1 0
1 3 1
0 2 2
0 0 3
1 2 3
0 3 0
0 0 1
10 9
1 0 3
0 2 3
2 0 1
1 2 0
1 0 2
3 3 0
1 2 2
1 3 2
3 1 2
3 3 3
10 3
2 2 1
1 1 1
1 2 2
1 1 2
2 2 2
0 2 2
0 0 1
2 0 0
1 2 1
1 0 0
10 7
2 1 2
1 3 2
3 2 1
3 0 2
1 3 3
2 3 0
0 0 2
3 2 3
0 2 3
3 2 0
10 5
0 0 2
1 3 2
3 3 0
3 1 1
2 2 0
1 2 1
2 1 3
3 3 2
1 0 0
0 2 0
10 2
1 2 2
1 0 2
0 1 0
0 0 2
0 0 1
0 2 1
2 2 2
1 1 1
2 1 0
2 1 1
10 7
0 1 0
1 0 2
1 2 0
1 2 2
1 1 0
0 0 0
2 0 2
1 0 1
1 1 1
0 0 2
10 5
3 3 0
0 1 0
3 2 1
1 0 3
0 1 1
3 2 2
1 1 0
3 3 1
1 1 3
3 0 2
10 5
1 0 1
2 2 2
0 0 0
0 1 2
2 1 2
1 1 2
0 1 0
1 1 0
2 0 0
0 0 1
10 8
0 3 0
1 1 1
2 1 1
1 3 0
2 1 0
1 2 0
0 0 1
0 3 2
3 1 2
2 2 1
10 2
0 2 2
0 1 0
0 2 0
1 2 1
0 0 1
1 0 1
2 2 0
2 2 2
2 0 2
0 0 0
10 2
1 0 1
0 2 1
1 1 0
0 0 0
0 1 0
2 0 0
2 1 2
1 1 2
2 0 1
0 1 1
10 6
2 2 0
0 2 1
0 2 0
1 2 2
2 1 2
1 0 1
2 1 1
1 2 0
2 1 0
0 0 0
10 9
2 3 1
3 3 3
1 0 3
2 3 2
2 1 2
0 3 2
1 2 1
0 1 0
2 0 2
3 2 2
10 8
0 0 0
1 1 0
0 2 0
1 3 2
0 2 2
2 0 3
0 3 2
1 3 3
1 0 1
1 1 1
10 6
2 2 2
0 2 0
1 2 1
0 1 1
2 2 0
0 1 2
0 2 2
2 0 2
1 2 0
1 2 2
10 9
2 1 2
0 2 1
2 0 0
2 1 1
1 0 1
1 0 2
2 1 0
1 1 1
1 2 2
1 0 0
10 7
1 2 0
2 1 2
0 2 1
2 1 1
2 1 0
2 2 0
1 0 1
1 0 2
2 2 1
1 1 1
10 2
3 2 1
3 2 3
0 0 0
1 1 1
2 1 2
1 3 1
2 3 0
0 2 2
2 3 2
2 2 0
10 6
3 2 0
0 0 1
3 2 2
3 1 2
0 0 0
3 1 3
0 1 2
2 2 1
1 1 2
2 0 2
10 6
1 3 3
0 1 0
2 2 3
3 0 2
3 0 3
0 3 2
2 3 0
1 0 0
1 0 1
1 3 2
10 5
3 2 0
1 2 0
2 2 3
3 0 0
2 2 0
0 0 0
0 0 2
1 3 2
3 3 2
2 3 2
10 5
0 0 0
1 2 0
0 1 1
0 0 2
2 2 2
1 2 1
1 1 2
1 0 1
0 1 2
2 2 0
10 7
1 2 2
0 2 1
2 1 0
2 1 1
1 0 1
0 1 2
2 0 1
1 0 2
0 0 2
2 2 1
10 5
2 3 2
2 0 0
0 1 3
0 3 0
3 3 0
2 1 0
2 2 1
2 2 2
3 2 3
3 1 2
10 9
2 0 2
0 1 2
3 2 1
1 3 3
3 2 3
2 3 2
3 0 2
3 3 0
0 2 2
2 1 1
10 5
2 1 1
1 1 1
1 2 2
0 0 2
1 0 2
1 0 0
0 2 0
0 2 1
1 0 1
2 2 2
10 8
0 1 0
2 2 0
1 2 0
2 1 1
2 1 2
0 1 2
2 0 2
2 0 1
2 0 0
0 1 1
10 7
1 2 0
0 0 3
3 1 2
3 2 3
3 0 3
2 1 1
3 2 1
1 2 3
0 1 0
1 2 2
10 6
2 1 0
1 2 1
0 2 0
1 2 0
0 1 0
1 1 1
1 1 2
1 0 0
0 1 1
0 1 2
10 9
2 0 1
0 1 0
2 2 0
2 2 2
2 0 2
0 0 0
0 0 2
1 2 2
1 1 0
1 2 1
10 2
0 1 2
2 1 1
2 1 2
1 1 2
0 2 2
0 0 2
2 0 0
0 1 1
2 2 1
1 0 2
10 6
2 3 1
3 1 3
1 1 1
2 3 2
2 1 2
2 0 0
3 3 1
0 0 3
2 3 0
1 3 2
10 7
1 2 1
0 0 1
2 0 1
2 2 2
0 2 0
0 2 2
2 0 2
2 1 1
1 2 0
2 1 0
10 7
3 1 0
2 2 2
0 1 1
2 0 0
0 0 2
1 0 0
3 0 1
0 1 2
2 1 3
1 1 0
10 3
3 3 3
3 2 1
0 3 0
3 0 3
3 1 0
0 2 0
1 2 3
1 0 1
1 0 3
2 1 1
10 5
1 0 0
1 2 1
2 1 2
0 1 2
0 0 0
2 2 0
1 1 1
0 2 2
2 2 2
0 2 0
10 3
2 2 2
1 1 2
0 1 1
1 1 0
2 1 2
2 2 0
2 1 1
0 2 0
0 0 0
1 2 0
10 8
3 1 0
1 0 3
1 3 1
3 1 1
2 3 0
0 0 1
2 2 3
3 1 2
0 2 2
1 3 3
10 9
2 0 1
2 0 2
1 0 0
0 2 2
2 2 0
0 1 2
2 1 1
1 2 2
0 0 0
0 0 2
10 9
2 1 0
1 0 2
0 2 0
2 2 0
1 2 1
2 1 2
1 0 0
1 2 2
0 1 0
1 1 1
10 2
3 1 0
2 1 1
2 1 0
3 0 0
3 1 2
2 2 1
1 0 0
1 1 1
0 3 2
1 2 0
10 7
3 0 2
0 2 1
3 2 2
3 0 0
1 0 1
2 1 2
2 3 0
0 2 0
0 1 0
0 0 1
10 9
1 1 1
0 2 0
1 1 2
0 2 2
2 2 0
1 0 2
2 0 1
1 1 0
0 1 2
2 1 1
10 2
2 0 0
0 2 0
2 1 2
0 0 1
0 1 1
0 0 0
1 1 1
0 1 2
1 1 2
1 2 1
10 7
1 1 2
0 2 0
1 0 1
1 2 1
1 0 2
0 1 0
1 2 0
1 0 0
2 2 2
2 0 0
10 2
1 2 2
2 0 1
0 0 0
3 3 2
2 3 1
0 3 1
3 2 2
1 1 0
0 0 3
2 2 2
10 6
3 1 2
0 3 1
2 3 1
2 2 1
1 3 2
1 0 0
2 3 3
1 3 3
3 2 3
0 2 3
10 3
0 1 1
0 1 0
2 1 2
2 1 1
0 2 2
0 0 2
1 1 2
1 1 0
1 0 0
2 2 2
10 3
0 0 2
1 0 1
0 1 0
1 2 0
2 0 0
0 1 1
1 2 2
2 1 2
1 1 2
1 0 2
10 7
2 1 2
2 1 0
0 0 2
2 1 1
1 1 1
0 0 1
1 2 1
1 1 0
0 1 2
1 0 2
10 7
2 1 1
3 3 0
2 2 2
0 3 2
0 3 0
0 1 1
0 0 2
2 3 0
2 0 1
1 0 1
10 6
1 1 3
2 0 0
1 2 2
1 0 0
2 1 0
1 0 2
3 2 2
2 0 1
1 2 0
1 1 2
10 3
2 1 3
1 2 3
2 3 2
2 3 1
2 2 0
3 3 2
0 1 1
2 1 2
2 2 1
3 1 0
10 4
3 3 1
2 2 3
0 1 0
3 0 1
2 1 0
3 3 0
0 0 3
2 2 1
3 2 3
0 0 0
10 5
1 1 0
2 2 1
2 0 1
1 0 1
2 2 2
1 1 2
0 1 0
1 0 2
1 0 0
1 2 2
10 2
1 1 0
1 1 1
0 2 0
3 2 0
2 0 0
1 0 1
2 3 3
1 3 3
2 2 0
3 3 0
10 7
2 2 1
2 3 1
2 0 0
3 3 0
2 3 2
3 2 0
1 2 2
1 2 0
3 3 3
1 3 1
10 6
2 2 1
2 2 2
1 0 1
0 1 0
0 2 2
2 0 0
2 1 1
0 0 1
1 0 0
1 0 2
10 9
3 0 3
3 1 3
3 0 2
2 3 3
2 3 2
0 3 3
2 2 2
1 1 3
1 3 0
1 3 2
10 9
2 1 0
0 0 3
2 0 2
0 3 1
0 3 2
0 0 2
3 3 2
1 2 3
2 2 1
2 0 0
10 3
1 1 0
2 1 1
2 3 3
1 1 1
3 2 2
0 3 0
0 0 2
3 0 2
0 2 0
3 1 2
10 7
0 1 1
2 1 0
1 0 1
2 0 1
2 2 0
1 1 0
0 2 1
0 1 0
2 1 2
0 0 0
10 3
2 2 0
1 1 2
1 2 1
1 2 0
2 0 1
0 0 2
0 1 2
0 2 0
2 0 0
0 0 1
10 2
0 3 1
3 3 2
2 0 3
0 2 0
3 1 2
1 3 1
2 1 2
2 3 3
0 0 3
0 1 3
10 5
3 3 3
0 1 2
1 2 0
1 2 3
1 1 0
3 2 1
0 0 2
0 1 0
2 2 3
1 3 3
10 3
0 0 0
2 2 2
2 0 0
0 2 0
2 1 0
1 0 2
1 1 1
2 1 1
2 2 0
1 1 2
10 4
3 3 0
2 2 2
0 1 1
1 1 1
3 0 0
3 1 1
0 1 3
3 1 3
2 3 1
1 0 0
10 8
2 3 2
3 2 1
0 2 0
2 1 1
1 0 2
1 0 0
1 3 1
0 0 3
3 0 1
0 2 1
10 7
3 2 3
1 0 3
3 0 2
1 2 0
1 3 2
1 2 2
0 2 0
3 3 3
0 2 2
2 3 2
10 9
2 0 2
1 2 1
1 1 0
1 0 0
2 1 0
0 0 1
1 0 1
0 2 2
2 2 0
0 1 0
10 7
0 1 2
1 2 1
2 2 3
3 3 1
1 0 3
0 0 3
0 3 1
2 1 1
2 3 1
2 3 2
10 8
2 0 2
0 3 1
2 2 3
2 1 3
3 1 2
1 1 3
1 2 3
1 3 0
2 1 0
1 0 2
10 9
2 0 1
1 0 1
0 2 3
1 2 1
3 1 3
0 3 3
1 0 3
0 0 1
0 1 0
3 0 2
10 9
2 1 1
1 1 2
2 0 1
0 1 2
2 0 0
0 0 0
0 1 1
2 2 1
0 1 0
1 0 2
10 4
1 3 3
1 2 2
1 2 3
0 1 2
1 2 0
3 1 0
2 2 2
1 1 2
2 1 2
3 3 3
10 9
3 2 2
2 0 2
0 1 2
1 2 1
1 1 0
2 1 2
0 1 0
1 2 2
2 3 2
0 2 1
10 2
1 0 1
2 1 0
1 1 2
2 0 0
2 2 0
0 2 0
0 2 1
0 0 2
0 0 0
2 1 1
10 3
1 1 2
1 2 0
2 1 0
2 0 1
1 2 2
1 0 2
0 0 1
2 0 0
2 2 1
0 1 0
10 6
1 0 0
1 2 2
0 1 1
2 1 0
0 2 0
3 1 0
2 1 2
3 2 2
0 0 2
3 1 3
10 6
0 2 0
1 0 1
0 2 1
2 0 1
0 2 2
1 1 1
0 0 2
2 1 1
1 0 2
1 0 0
10 6
2 1 0
1 2 2
1 1 1
2 2 3
3 2 1
0 3 2
2 2 2
2 0 2
2 2 1
2 0 1
10 7
2 2 3
2 3 3
3 1 3
1 0 0
1 1 3
1 3 0
3 0 3
3 1 2
3 0 1
2 0 3
10 5
1 0 3
1 3 3
3 0 3
2 2 3
2 1 1
1 2 2
2 3 2
3 1 0
1 2 1
3 2 1
10 8
2 0 1
1 0 2
1 2 1
0 2 0
1 2 0
0 0 0
2 1 1
1 0 1
2 2 1
1 2 2
10 4
3 3 2
0 3 0
1 2 3
1 3 2
2 0 2
3 2 2
3 0 3
0 0 3
1 1 0
1 0 3
10 3
2 0 0
0 2 1
2 2 1
3 3 3
2 1 3
1 3 2
1 1 1
2 2 3
1 2 0
1 1 3
10 8
0 1 1
1 1 2
1 1 1
2 0 2
0 1 2
1 2 0
0 0 0
0 0 1
2 1 1
2 1 2
10 6
3 3 3
1 0 0
3 1 0
1 3 3
3 0 3
0 1 0
0 1 3
1 3 2
2 3 2
0 3 0
10 3
1 2 1
1 1 2
0 0 0
2 2 0
2 0 0
1 0 1
1 0 0
0 2 0
0 1 1
2 0 1
10 2
0 0 0
0 1 0
2 1 1
2 1 0
2 2 0
0 0 2
0 2 1
2 2 2
2 0 1
0 2 2
10 3
1 2 1
2 2 0
2 2 1
0 1 1
1 2 0
2 0 1
1 1 0
1 0 0
2 1 2
2 0 2
10 9
1 1 1
2 0 0
1 3 0
2 2 2
1 2 3
3 2 2
2 1 2
2 3 0
2 0 2
2 3 3
10 5
2 2 2
2 1 0
0 1 2
1 1 1
1 1 2
1 1 0
0 1 1
0 1 0
1 0 2
0 0 0
10 5
2 2 1
2 1 2
1 2 2
1 0 2
2 2 2
2 1 0
2 0 2
0 0 2
2 2 0
0 1 1
10 2
0 2 1
2 1 2
1 0 2
1 2 2
1 1 1
1 2 1
2 2 0
2 0 0
2 1 1
2 2 2
10 8
0 2 1
1 0 2
0 2 2
1 1 1
2 0 0
1 2 0
2 1 1
0 1 1
1 2 1
2 2 0
10 7
1 3 3
1 1 0
2 1 2
0 2 2
0 2 0
2 3 3
3 2 2
0 0 2
2 2 1
0 3 2
10 2
1 2 2
3 0 0
2 1 1
1 0 3
3 3 0
3 2 0
0 3 3
0 3 1
1 1 3
1 2 3
10 9
0 1 1
1 0 0
2 0 1
2 0 0
2 0 2
1 0 1
0 0 2
1 1 0
0 0 0
2 1 1
10 7
2 1 2
2 2 2
0 1 2
0 2 2
2 1 1
1 2 0
2 0 2
1 2 2
1 2 1
2 0 0
10 6
0 2 3
2 2 1
1 3 1
0 0 0
2 1 2
1 0 3
3 2 0
2 1 3
0 0 3
3 0 3
10 3
0 2 1
1 0 1
0 0 0
1 0 0
1 1 1
1 0 2
0 1 0
0 1 1
2 2 1
2 2 2
10 5
0 2 1
2 1 2
1 2 0
2 1 1
2 1 0
0 0 1
1 2 1
2 2 2
2 0 0
0 2 2
10 7
2 2 3
3 0 2
0 0 0
1 3 3
1 2 2
0 1 2
2 1 1
0 0 2
2 3 1
3 1 2
10 7
3 1 1
2 2 3
1 0 0
3 3 2
0 2 0
2 3 3
2 1 2
3 3 0
2 2 1
2 0 1
10 5
3 2 0
0 3 0
0 1 1
1 1 0
3 0 0
2 1 1
2 1 0
3 0 2
1 0 3
0 1 3
10 8
0 0 0
1 2 0
1 2 2
0 1 1
0 2 1
2 0 0
1 1 2
2 1 1
0 2 0
2 0 2
10 3
0 3 1
2 0 3
3 0 0
2 3 0
3 0 2
0 2 1
0 2 0
1 1 3
2 1 3
3 2 1
10 9
0 1 3
1 0 3
3 3 3
2 2 0
1 1 2
2 3 3
0 0 3
1 1 1
1 3 1
3 0 1
10 4
2 2 0
2 2 2
2 0 1
1 1 1
2 0 0
1 2 1
0 1 1
1 1 0
0 2 2
0 0 2
10 7
0 2 1
3 2 2
1 2 3
0 2 2
3 2 0
0 3 3
0 1 3
3 3 0
1 1 0
1 3 1
10 9
2 2 0
1 0 0
1 0 3
0 2 1
2 3 2
3 0 2
1 0 2
2 3 3
1 1 3
0 3 1
10 8
2 1 1
1 2 1
0 1 2
2 0 0
2 2 1
2 1 0
0 2 2
1 1 0
0 2 1
2 0 2
10 6
1 1 1
1 2 2
2 0 0
2 2 0
1 2 1
0 1 2
2 0 1
1 1 2
0 2 1
1 0 2
10 2
1 2 0
0 1 0
0 0 0
0 2 1
2 2 2
2 0 1
2 0 0
0 2 2
2 2 1
0 2 0
10 4
3 0 1
1 3 3
2 2 2
1 1 2
3 3 2
1 0 1
1 2 3
2 0 3
3 0 3
2 0 1
10 2
1 0 1
2 1 2
1 1 2
1 2 1
2 0 1
2 0 2
2 2 1
0 0 0
0 0 1
2 2 0
10 8
0 1 3
0 3 1
1 2 2
1 1 1
1 3 1
0 0 2
3 2 3
1 2 0
0 0 3
2 2 0
10 5
3 0 1
0 3 0
0 2 2
1 3 2
3 0 2
3 0 0
3 1 0
1 1 3
0 3 3
3 2 2
10 9
2 0 2
1 0 3
1 3 3
1 3 2
0 0 1
0 3 1
2 2 1
3 2 0
1 2 1
0 0 3
10 5
2 0 2
1 0 3
3 2 2
3 0 0
2 1 3
1 3 1
0 0 3
0 0 1
3 0 1
1 2 3
10 3
2 1 0
2 1 1
2 1 2
0 2 2
2 2 0
2 2 1
1 1 2
2 0 2
2 0 0
1 2 2
10 3
0 2 1
2 2 1
0 0 1
0 1 1
0 0 2
1 1 0
2 2 2
1 2 2
0 1 0
1 1 1
10 6
3 3 0
3 0 2
0 3 2
2 0 1
2 0 3
2 3 2
0 1 3
1 3 1
1 1 1
1 0 0
10 6
2 0 0
0 1 0
2 1 2
1 2 2
2 0 2
2 1 0
0 2 0
2 0 1
0 2 1
2 2 1
10 8
2 0 1
1 0 1
0 1 2
0 0 2
0 0 0
1 1 0
2 1 0
2 2 2
1 0 0
2 2 1
10 9
2 1 2
0 1 0
2 2 2
0 0 0
2 0 2
1 1 0
0 2 1
2 2 1
0 0 2
1 0 1
10 6
0 3 0
3 1 1
1 2 2
2 3 0
1 3 2
2 0 1
1 2 3
3 2 0
1 2 1
0 2 3
10 5
3 1 0
1 3 3
0 3 3
2 3 1
3 1 3
2 0 2
2 1 2
1 2 2
2 2 0
1 1 2
10 3
1 1 0
3 2 1
3 3 0
2 0 2
1 3 3
2 0 0
3 1 3
0 1 2
3 0 1
3 2 2
10 9
1 1 1
0 0 2
1 0 0
0 2 1
2 2 1
1 2 2
0 0 1
0 2 2
2 1 1
1 0 1
10 4
2 3 1
3 2 0
0 3 1
1 0 3
1 3 1
1 2 2
1 0 2
2 2 3
0 3 2
3 2 1
10 3
2 2 0
1 1 2
0 1 1
2 0 0
2 1 0
2 1 1
2 1 2
2 0 1
0 1 0
2 0 2
10 9
0 0 2
3 1 3
2 0 1
1 3 1
3 2 3
2 0 3
2 3 3
3 1 0
0 0 0
1 0 2
10 5
1 2 2
2 1 1
2 0 0
0 0 2
2 2 2
1 1 0
0 2 1
2 1 2
0 2 0
1 0 2
10 5
2 0 1
1 2 0
2 1 1
0 1 2
0 0 2
0 1 1
1 0 1
1 2 2
0 2 2
2 2 0
10 5
1 0 1
2 2 2
0 0 0
2 1 0
2 0 1
2 2 1
2 1 2
1 1 0
1 2 1
1 1 2
10 6
0 2 0
1 2 1
1 1 0
2 1 1
2 2 0
2 0 0
1 2 0
1 1 2
0 0 2
2 0 1
10 7
0 2 0
2 0 1
0 2 1
0 0 1
2 3 0
1 3 0
0 0 2
1 3 1
3 0 1
3 1 3
10 9
0 1 2
2 1 0
1 0 0
2 2 2
1 1 2
2 3 0
0 1 3
1 3 2
1 1 1
0 2 0
10 2
2 1 0
1 1 0
2 1 2
2 0 2
1 0 0
0 2 2
1 2 0
2 1 1
0 1 1
1 2 1
10 9
2 2 0
1 3 3
0 2 2
0 3 0
3 3 1
2 2 2
0 0 0
3 1 3
1 2 2
1 0 0
10 5
1 1 0
0 0 0
1 2 0
1 1 2
2 1 2
2 1 1
1 0 0
2 2 2
0 1 0
2 2 1
10 7
0 3 0
0 3 1
1 0 1
2 3 3
0 2 1
2 2 1
0 2 3
2 3 1
3 3 1
0 2 2
10 9
0 1 0
2 2 2
2 0 0
0 0 3
3 1 2
1 1 2
2 2 0
3 3 0
1 2 2
3 3 3
10 9
2 1 1
0 2 3
2 0 2
1 1 2
3 1 0
1 3 2
1 3 1
1 2 1
3 3 2
0 0 0
10 4
2 0 1
2 0 3
0 2 3
3 2 2
3 3 2
1 1 3
2 0 2
3 3 3
3 2 3
2 1 1
10 4
0 1 0
0 1 2
2 1 2
0 0 2
2 1 1
2 0 0
1 2 1
0 2 0
2 0 1
1 0 1
10 2
3 1 1
1 3 3
2 0 1
2 3 2
2 2 3
2 2 2
3 2 2
0 1 1
2 2 0
3 0 3
10 5
0 0 0
0 0 1
2 2 0
0 1 2
2 0 2
3 3 3
1 3 1
3 2 2
0 0 2
3 0 2
10 2
1 2 1
0 2 1
0 2 0
1 0 2
0 0 1
2 1 2
0 1 0
1 1 1
2 0 2
0 1 1
10 9
3 3 2
2 1 3
3 0 0
0 0 3
1 3 0
1 1 2
2 3 3
0 1 3
0 0 0
3 1 2
10 4
1 3 0
2 2 3
2 2 2
2 3 2
3 3 0
3 1 1
0 2 2
1 1 0
2 0 0
1 3 3
10 8
0 2 1
1 1 1
1 0 1
0 1 1
2 0 0
0 0 2
2 2 0
2 0 1
1 2 0
0 1 2
10 8
2 0 0
0 0 2
1 1 0
0 1 0
1 2 1
0 1 2
0 2 2
0 1 1
1 0 0
1 0 1
10 8
0 2 0
0 1 0
1 3 2
2 1 1
3 0 2
1 2 2
0 0 1
3 2 2
3 3 2
1 3 0
10 5
0 2 2
1 2 1
0 0 1
2 0 2
0 1 0
1 2 2
2 0 0
2 2 1
0 2 0
0 2 1
10 2
1 0 3
1 3 1
0 2 2
0 1 1
1 1 1
2 2 0
3 3 2
2 1 3
1 1 3
0 2 3
10 3
2 0 0
1 2 2
0 1 2
2 1 2
1 0 2
0 0 0
0 1 1
2 0 1
1 0 1
2 2 1
10 3
1 1 2
1 3 1
2 1 2
1 0 3
0 0 1
2 2 0
2 1 0
3 0 1
3 0 3
3 1 1
10 9
1 1 1
2 1 1
1 0 1
1 0 2
0 2 2
2 0 0
1 2 0
1 2 1
0 2 1
2 2 1
10 6
0 2 2
2 3 0
3 0 1
2 3 2
3 1 1
1 0 2
2 0 2
0 3 1
0 0 1
0 3 0
10 7
0 2 0
1 0 0
2 0 0
2 2 1
1 0 1
0 0 0
0 1 2
2 0 2
2 2 2
1 2 1
10 5
2 0 0
0 1 1
0 1 0
2 2 0
1 2 2
1 1 0
0 2 0
2 1 0
0 1 2
2 2 2
10 2
1 2 0
0 1 1
3 2 0
0 2 3
3 0 2
0 0 1
0 1 2
2 0 3
0 2 2
1 2 2
10 2
1 0 0
3 0 3
0 0 1
0 0 0
2 2 3
2 3 0
0 2 0
2 2 2
1 1 3
2 3 1
10 7
2 1 1
2 1 2
1 2 2
2 0 1
2 2 2
1 1 2
0 1 1
1 1 1
1 0 0
0 1 2
10 3
1 1 1
3 1 2
0 3 2
1 2 0
2 0 0
3 2 2
3 1 1
2 2 2
1 0 3
0 1 1
10 7
0 0 2
1 0 0
0 0 1
1 1 0
2 0 2
0 1 0
0 2 0
1 2 1
2 0 0
1 0 1
10 6
1 2 0
1 2 3
1 0 1
0 3 0
0 2 2
2 2 1
1 1 1
2 3 1
3 0 1
1 0 0
10 7
3 3 1
2 2 3
0 0 3
0 2 3
2 1 2
2 0 3
3 2 3
0 2 0
3 2 1
3 1 3
10 7
1 0 2
0 2 1
0 0 1
2 2 1
1 0 0
1 2 0
0 2 2
1 2 1
0 2 0
2 0 2
10 3
2 2 0
3 2 1
1 2 2
1 0 3
3 3 2
3 0 1
2 1 1
0 3 1
0 3 0
0 3 3
10 6
2 1 1
0 2 2
1 2 1
1 2 2
2 0 2
1 2 0
2 2 1
0 1 2
0 0 2
1 0 0
10 7
2 1 2
1 0 2
0 0 0
0 0 1
2 2 1
0 1 1
0 1 2
0 2 0
1 1 1
2 0 2
10 8
1 2 2
3 2 0
3 1 3
0 1 1
2 2 1
1 1 2
3 2 2
0 2 3
1 2 0
3 2 3
10 8
1 3 3
1 1 2
3 3 2
3 0 3
3 3 3
2 0 3
3 2 3
3 3 0
3 1 2
0 0 3
10 2
3 0 0
2 1 2
3 0 2
1 2 0
1 0 0
0 3 3
0 0 2
0 1 2
2 1 1
1 3 1
10 9
1 2 2
0 2 1
1 2 0
2 1 0
0 1 2
0 2 2
1 1 2
0 1 0
0 0 0
1 2 1
10 5
1 0 0
1 0 2
1 2 2
2 0 0
0 1 1
1 1 1
1 2 0
0 1 0
2 2 0
1 0 1
10 9
3 2 3
1 1 2
3 3 3
1 1 1
1 1 0
3 1 1
3 2 2
0 2 1
1 0 2
1 2 2
10 4
1 2 1
2 0 0
2 2 1
0 1 2
1 0 2
2 0 1
1 1 1
2 2 2
0 2 0
0 0 2
10 6
0 0 2
0 2 3
1 2 2
0 3 1
2 0 2
3 1 1
2 0 1
1 0 2
1 2 0
3 3 1
10 8
1 0 1
0 2 2
2 0 0
0 1 0
0 1 1
2 0 1
2 2 0
0 2 1
1 0 0
0 0 1
10 7
1 1 3
2 1 0
1 1 0
2 2 3
3 1 1
2 1 3
0 1 1
3 0 1
2 3 0
3 3 3
10 7
0 1 2
1 2 0
0 2 1
0 1 1
1 1 2
2 1 2
1 0 0
2 1 1
2 2 0
1 2 2
10 7
1 2 0
0 0 0
2 2 2
1 0 1
0 2 1
2 1 0
1 2 1
1 1 0
1 0 0
0 0 1
10 2
2 3 0
2 1 2
0 3 2
2 3 2
1 3 3
1 3 2
2 1 3
0 1 3
3 3 3
3 1 1
10 2
2 0 2
2 2 0
2 2 1
0 0 1
1 2 0
1 0 1
2 2 2
2 1 1
2 1 0
0 2 2
10 5
2 1 2
0 1 2
0 0 2
1 2 1
1 1 1
2 1 1
2 0 0
2 2 1
1 2 2
0 0 0
10 6
3 0 2
2 1 2
3 1 2
0 3 2
0 3 1
3 0 1
1 2 0
0 1 0
2 3 0
1 1 3
10 6
2 3 1
1 1 3
2 1 1
3 1 0
0 3 0
3 3 1
3 0 1
1 0 2
3 3 3
2 1 3
10 9
1 3 2
2 1 0
1 0 2
2 2 1
0 2 0
2 2 0
3 0 2
2 3 3
2 1 2
1 3 1
10 8
1 2 0
2 0 2
2 2 2
2 1 0
0 2 0
1 0 1
0 0 2
2 0 0
0 2 1
1 1 1
10 6
1 1 0
0 1 0
2 2 1
2 2 0
2 1 1
2 0 0
2 0 2
0 1 1
1 0 1
2 2 2
10 5
2 0 0
1 3 0
0 3 2
3 1 0
1 1 2
2 3 0
3 0 3
1 2 2
2 0 3
3 3 3
10 3
2 1 2
3 0 0
3 0 3
3 2 2
0 3 1
3 0 1
1 2 1
0 2 1
3 3 1
1 2 3
10 7
0 0 0
0 0 1
1 1 2
2 1 0
0 2 2
2 2 2
2 1 1
0 1 1
0 0 2
1 0 2
10 4
1 3 1
2 3 3
3 1 2
1 2 1
0 1 1
2 2 0
0 2 3
1 0 2
2 2 3
2 0 2
10 3
2 3 1
3 0 1
2 2 0
0 1 3
3 3 1
3 1 1
0 3 2
3 1 3
3 2 0
1 2 0
10 5
2 0 2
0 0 2
2 1 2
0 0 0
0 1 0
2 1 0
1 2 2
1 0 0
0 1 2
2 0 1
10 7
1 3 2
3 2 3
2 3 2
1 3 1
0 0 3
2 2 2
0 1 1
3 1 3
2 2 0
2 0 3
10 8
3 1 3
2 0 3
3 0 2
0 2 3
3 0 0
0 0 3
2 2 1
3 2 1
0 3 1
2 1 2
10 8
0 1 2
2 2 2
3 0 0
3 1 1
2 2 1
2 1 3
1 2 2
2 0 1
1 0 3
0 2 3
10 7
2 1 0
2 2 0
0 0 2
0 1 0
0 2 1
2 1 1
2 2 2
2 2 1
1 1 2
1 1 1
10 9
0 0 2
3 2 3
0 3 1
1 1 2
0 1 0
1 3 1
2 3 2
3 2 1
1 1 0
2 3 0
10 9
2 2 2
1 0 1
0 2 1
1 2 1
0 1 1
2 2 1
0 1 0
0 1 2
2 0 0
1 1 2
10 3
2 1 2
0 2 2
2 2 0
1 2 2
1 0 1
2 1 0
0 2 1
2 1 1
2 2 1
2 0 1
10 4
2 0 1
2 2 2
1 0 1
0 0 0
1 2 1
2 2 0
2 0 2
2 0 0
0 1 0
2 2 1
10 8
3 1 2
1 2 0
3 3 0
1 3 1
1 1 3
0 1 1
0 1 2
3 0 2
1 1 1
2 1 3
10 5
2 1 3
0 2 1
0 2 0
1 2 0
3 2 0
2 0 0
0 0 3
0 2 2
3 1 2
1 0 1
10 9
1 2 2
1 3 3
2 0 0
0 2 1
3 2 2
2 2 2
3 3 0
1 1 2
1 0 2
0 0 0
10 7
3 2 3
2 0 1
0 0 1
3 3 1
0 1 2
3 2 1
2 1 3
3 1 1
3 2 0
2 2 3
10 3
1 0 2
2 0 2
1 1 2
1 2 2
1 2 1
0 0 1
2 1 1
0 2 1
1 0 1
0 2 2
10 5
2 0 2
1 0 1
1 0 0
0 3 0
3 3 0
1 2 3
2 0 1
0 2 0
0 1 1
1 1 2
10 3
1 3 3
1 0 1
2 3 3
3 1 1
3 3 3
3 3 2
2 1 3
1 1 1
2 0 0
2 2 1
10 7
2 2 3
3 2 0
0 2 1
0 0 3
3 0 3
0 0 0
3 1 0
0 1 1
2 0 1
2 1 0
10 5
1 0 0
0 1 2
1 1 0
0 0 0
0 0 2
0 0 1
2 0 0
0 1 1
2 1 2
2 1 0
10 4
3 3 0
1 1 0
3 2 2
3 0 3
1 3 3
3 2 0
2 2 0
2 1 1
2 0 1
2 0 3
10 9
0 1 1
1 0 2
1 2 1
1 1 2
1 0 0
1 1 1
2 2 1
2 1 0
1 1 0
2 1 1
10 9
0 0 2
3 3 3
1 0 3
2 2 1
0 2 1
3 0 0
1 3 2
1 2 0
3 2 0
3 2 1
10 8
0 2 0
0 1 0
1 0 0
1 1 0
0 2 1
0 0 0
2 2 0
1 0 2
0 0 1
2 0 1
10 9
2 1 2
2 1 1
1 0 1
1 1 2
0 2 1
0 0 1
0 1 2
2 0 2
2 1 0
0 1 1
10 7
2 0 2
1 1 2
0 0 3
3 3 2
3 3 0
0 1 0
2 3 2
2 0 3
1 2 3
1 3 2
10 9
0 1 2
1 2 0
2 0 2
2 2 0
1 0 1
1 1 2
2 1 1
1 2 1
1 0 0
0 0 1
10 7
2 2 0
0 0 2
2 0 1
1 1 2
2 1 0
1 0 0
0 2 1
0 1 0
0 2 0
1 2 0
10 9
3 3 0
2 0 2
1 1 1
1 0 1
3 0 0
1 2 1
1 1 0
1 1 3
2 3 0
0 3 1
10 8
1 2 0
0 0 1
3 0 1
1 0 0
3 2 2
2 1 1
1 3 3
2 0 0
1 0 2
1 2 3
10 7
1 0 0
2 0 0
0 2 2
2 2 0
0 1 1
0 1 2
2 2 2
2 0 1
2 1 1
1 2 0
10 6
1 1 1
3 3 0
0 3 1
0 0 0
1 0 3
2 2 1
1 3 1
0 2 0
2 0 3
2 3 2
10 4
0 3 3
0 1 3
3 1 0
3 2 3
1 3 0
3 0 0
1 2 2
3 1 3
2 1 1
2 1 0
10 2
1 1 0
0 0 1
0 1 1
0 2 2
1 0 2
1 2 0
2 0 1
2 1 2
2 0 0
1 2 2
10 5
0 1 2
0 1 3
2 2 2
2 1 0
2 0 1
2 0 2
1 1 3
1 2 0
2 3 3
0 0 3
10 6
2 2 0
2 0 1
1 2 1
2 0 0
2 1 2
0 1 1
0 2 0
2 2 2
0 1 2
1 1 2
10 6
2 2 3
3 1 0
3 1 3
1 0 3
2 1 0
2 2 2
0 0 3
0 0 2
1 1 3
0 1 3
10 2
1 0 0
0 0 2
2 0 2
0 2 0
0 0 1
1 1 0
1 2 1
0 1 2
1 0 2
0 1 1
10 4
0 0 0
2 0 1
0 0 2
1 2 1
2 3 1
0 1 3
0 1 2
3 1 1
3 0 2
2 3 2
10 3
1 1 0
2 0 2
0 2 2
0 0 2
1 3 0
0 1 1
3 2 0
2 1 2
1 2 2
3 0 1
10 4
2 1 1
1 0 1
1 2 2
0 1 2
0 1 0
0 2 0
2 2 1
0 1 1
1 1 2
0 2 1
10 4
0 2 2
3 0 2
1 3 1
0 0 0
2 1 3
1 1 1
3 3 3
2 0 3
2 2 0
3 3 2
10 5
1 3 2
3 3 1
1 2 1
2 0 3
3 1 0
2 2 1
2 2 2
2 3 1
0 0 0
0 2 3
10 9
0 2 3
3 1 1
2 0 0
0 1 2
1 0 3
3 1 2
1 1 3
3 3 1
2 3 0
1 3 3
10 2
1 2 2
3 0 3
0 1 0
1 1 0
2 2 3
2 0 0
2 1 2
0 2 0
3 1 1
1 2 1
10 3
1 2 2
0 0 2
1 0 0
2 2 1
2 2 0
2 0 2
2 0 1
0 0 0
1 2 1
1 2 0
10 4
1 1 3
2 3 3
2 3 2
0 1 2
1 0 1
3 3 2
0 2 1
0 1 1
2 0 2
0 3 3
10 6
3 1 2
0 0 1
0 3 3
0 3 0
0 1 2
3 3 3
2 0 3
1 1 1
3 0 3
1 3 2
10 9
2 0 2
2 2 1
2 1 1
0 0 1
2 2 0
2 3 1
1 1 0
2 1 0
0 3 2
1 0 3
10 9
0 2 0
0 0 0
0 0 2
2 2 1
1 0 2
1 1 1
2 2 0
1 2 2
2 0 1
2 0 2
10 6
1 0 0
0 0 1
2 0 0
2 1 0
1 0 1
2 2 1
2 0 1
2 2 2
2 0 2
1 2 2
10 9
2 2 2
0 1 1
2 1 2
0 2 2
2 2 1
1 2 1
0 0 0
1 1 1
1 1 0
2 1 1
10 8
2 0 2
0 2 1
1 2 2
1 1 0
1 2 0
0 0 1
2 1 1
2 1 0
2 2 2
0 1 0
10 9
2 1 2
0 1 0
2 1 0
2 0 0
0 2 0
0 2 2
1 2 0
2 2 2
0 0 2
0 0 0
10 7
1 3 2
1 0 0
1 1 2
2 1 2
3 0 1
0 0 1
1 0 1
3 2 0
2 0 3
0 1 2
10 4
2 0 0
0 3 0
1 3 1
2 3 1
1 0 1
2 1 1
0 0 1
0 3 1
0 0 0
2 3 3
10 7
1 3 1
0 3 3
3 2 3
2 0 3
1 0 0
2 0 2
2 3 0
0 1 2
3 0 1
0 2 0
10 6
0 1 2
0 1 0
1 2 1
2 1 2
0 2 0
1 1 1
1 0 1
2 2 2
2 2 1
2 0 2
10 8
1 0 2
2 1 0
2 0 0
1 0 0
2 0 2
2 2 1
0 0 1
0 1 1
0 2 0
1 0 1
10 4
2 3 0
2 2 2
1 0 1
2 3 3
1 3 2
2 1 2
2 3 2
0 1 1
1 3 1
0 2 0
10 8
0 3 1
1 2 3
1 1 0
2 3 2
0 1 1
3 2 3
0 2 3
3 1 3
3 0 0
2 2 3
10 3
1 0 0
0 0 3
2 1 0
2 1 1
0 3 3
0 3 1
3 3 1
1 0 2
1 0 3
1 1 3
10 2
1 2 2
0 0 1
0 1 2
2 2 2
2 1 1
2 2 0
1 0 2
1 1 0
2 0 1
1 2 1
10 8
1 2 0
1 1 1
1 1 0
1 0 0
0 0 0
2 2 1
2 1 0
0 1 1
1 1 2
2 2 2
10 9
1 1 0
1 0 1
2 1 2
2 1 0
0 2 0
0 0 1
0 0 0
0 2 1
0 2 2
1 2 2
10 7
2 2 1
1 1 1
0 2 2
1 2 1
1 0 1
1 2 0
2 2 2
1 1 0
2 1 0
1 0 0
10 8
0 0 2
1 2 0
1 2 2
0 0 1
2 1 1
0 2 1
0 2 0
0 2 2
1 0 1
0 1 2
10 2
2 1 1
1 0 1
2 2 2
1 0 0
2 1 2
2 2 1
0 0 0
2 1 0
0 1 1
2 0 2
10 7
2 0 1
2 1 1
1 1 1
0 1 1
2 0 0
0 1 0
0 0 1
2 2 0
1 0 0
2 2 1
10 6
2 2 1
0 2 1
0 2 0
1 1 1
2 0 1
0 1 1
2 0 0
1 2 0
2 1 1
2 2 2
10 8
2 3 2
0 2 3
0 3 0
1 1 2
1 3 3
0 2 1
3 3 3
3 0 1
3 3 1
1 1 3
10 7
0 1 2
0 0 1
2 2 0
2 0 0
1 0 1
0 1 1
0 2 1
0 2 2
2 2 1
1 2 2
10 2
3 1 3
1 1 0
2 2 0
0 2 0
1 3 2
1 2 1
1 3 0
0 0 2
3 2 1
3 0 0
10 3
3 0 3
1 2 2
2 0 1
3 3 0
1 0 0
2 1 0
0 2 2
2 3 3
0 1 1
1 2 1
10 5
2 0 0
0 2 0
1 0 2
0 0 0
2 2 1
1 2 1
1 0 1
0 2 2
0 1 1
0 0 2
10 5
0 2 0
2 2 2
0 1 1
2 2 1
2 1 1
0 0 1
2 0 2
1 0 1
1 1 0
1 2 1
10 8
2 0 2
1 2 1
0 2 2
3 3 0
2 0 3
0 0 0
3 0 3
0 0 3
3 0 2
1 3 0
10 4
1 2 2
2 1 2
0 0 0
2 2 2
0 2 2
1 2 1
2 1 1
1 2 0
0 2 1
2 1 0
10 4
2 3 2
1 3 2
3 0 2
1 2 2
1 1 3
0 3 3
1 1 1
1 0 2
3 3 2
2 1 0
10 8
0 3 0
2 1 1
2 0 1
3 1 3
1 3 3
3 2 0
0 3 2
1 3 2
2 0 2
0 1 3
10 9
0 0 0
3 0 2
1 1 3
1 0 1
0 3 1
3 1 2
3 1 3
0 3 3
1 1 1
1 0 3
10 8
2 1 1
0 1 1
0 2 1
0 0 2
0 1 2
1 0 1
1 2 2
1 2 0
2 1 0
0 0 0
10 2
1 1 2
1 2 2
0 1 2
1 1 0
0 1 1
1 0 1
0 0 0
1 2 0
2 1 0
2 2 0
10 8
1 2 1
0 2 1
2 0 1
1 1 2
2 1 1
2 2 1
1 2 2
2 0 2
2 2 0
0 2 2
10 8
2 1 2
2 0 1
2 1 0
2 2 1
0 1 0
1 0 1
1 0 0
1 2 1
2 2 0
1 0 2
10 3
1 2 0
2 2 0
1 1 1
0 1 0
2 1 0
2 2 1
0 2 1
2 0 2
0 2 2
1 2 1
10 8
0 2 2
1 2 0
0 1 2
0 1 0
1 2 2
2 1 0
2 2 1
1 1 2
0 1 1
2 1 2
10 8
2 2 0
1 2 1
1 0 0
1 0 2
1 2 0
2 1 2
0 0 0
0 1 1
2 1 1
0 2 1
10 7
2 3 2
2 2 3
3 3 2
0 1 1
2 2 0
1 3 2
3 0 1
3 2 3
2 1 0
2 1 3
10 8
1 3 0
1 3 2
1 2 0
0 0 1
2 1 0
2 3 3
2 3 2
0 0 3
2 0 3
0 0 2
10 4
3 2 3
0 1 2
0 2 2
1 1 2
2 0 2
3 3 2
3 1 3
3 1 2
1 1 3
2 1 1
10 2
2 2 1
0 0 3
0 3 2
2 1 1
3 0 3
3 1 2
1 2 3
3 1 0
1 1 3
3 1 1
10 3
0 3 2
3 3 0
1 3 0
3 0 0
3 3 1
2 1 2
3 0 2
1 2 0
2 1 1
1 3 2
10 4
2 0 1
2 0 2
0 2 0
2 0 0
0 2 1
1 0 1
0 1 2
0 0 0
2 2 2
1 0 0
10 7
2 0 3
3 0 3
1 2 3
0 2 1
1 1 2
1 1 0
3 1 0
0 1 3
2 3 3
3 0 0
10 7
1 0 0
1 2 1
0 0 2
0 2 2
1 2 0
0 1 1
2 0 1
2 1 1
1 0 1
2 1 0
10 8
1 0 1
2 0 0
2 1 2
0 0 1
2 2 1
1 2 0
0 2 0
2 0 1
2 1 0
0 1 0
10 8
2 2 1
0 0 1
2 2 0
2 1 0
2 1 2
0 2 1
1 2 1
1 2 2
2 0 0
2 2 2
10 4
1 1 1
3 3 3
3 2 3
3 1 0
3 3 1
0 1 3
0 1 1
3 0 1
2 2 0
3 3 0
10 8
3 2 3
2 3 3
2 2 1
0 3 2
1 2 1
0 2 0
0 0 3
1 2 3
3 1 1
1 0 1
10 9
1 0 0
1 0 1
2 1 1
2 0 2
0 0 0
0 1 0
0 0 2
1 2 2
0 0 1
1 1 1
10 5
0 2 2
1 3 2
2 3 0
0 1 0
2 2 3
3 2 1
0 1 2
0 1 3
3 3 3
0 3 2
10 5
2 3 1
1 2 0
2 3 0
1 0 0
2 2 1
0 1 3
2 0 0
1 1 3
3 0 2
1 2 3
10 3
3 1 2
2 0 0
0 2 2
0 1 1
3 0 1
3 2 0
1 3 1
1 0 2
2 3 3
2 3 1
10 4
1 0 0
0 2 2
0 1 1
0 0 0
0 0 1
1 2 0
1 2 2
2 1 2
2 0 0
1 1 1
10 2
0 1 3
1 2 3
1 2 2
2 3 2
0 3 2
2 0 2
3 1 2
0 0 2
1 0 3
1 0 1
10 2
0 1 2
0 0 1
2 2 1
1 0 3
2 0 0
2 2 0
0 0 2
2 2 3
1 3 1
1 2 3
10 4
0 0 0
1 0 2
0 1 0
2 2 1
1 1 0
2 0 2
1 2 2
2 2 0
0 2 1
1 2 0
10 6
2 2 2
1 1 1
2 0 2
1 0 1
2 1 1
1 0 0
1 0 2
1 1 0
0 0 0
2 1 2
10 3
0 3 1
1 0 2
1 0 3
1 2 1
0 3 3
3 0 1
0 2 1
3 3 0
1 1 1
3 1 0
10 6
1 1 1
0 0 0
2 1 0
0 1 0
2 1 1
1 0 2
1 2 1
2 0 1
1 0 0
1 0 1
10 5
0 3 2
2 2 0
3 1 2
0 0 3
3 3 2
2 1 2
3 0 0
1 3 1
2 2 1
1 0 2
10 8
0 1 0
2 2 0
0 0 2
2 1 1
0 2 0
1 2 1
0 0 1
1 0 2
2 1 0
0 2 2
10 9
2 0 3
0 1 0
0 2 1
0 2 3
0 3 2
3 0 0
2 1 2
2 0 2
0 0 2
2 0 1
10 6
1 1 1
3 1 3
2 0 0
2 0 1
1 1 2
0 2 2
3 3 2
2 3 1
2 2 3
2 2 1
10 4
2 1 2
1 2 1
0 2 1
1 0 0
2 2 2
0 0 0
1 1 2
1 1 1
0 2 0
0 1 1
10 7
1 0 2
1 1 0
0 0 2
2 1 3
2 2 1
2 3 2
0 2 2
0 2 0
2 0 0
1 2 1
10 5
1 0 0
1 1 1
0 0 0
2 0 1
0 2 1
0 2 0
2 1 1
2 2 2
1 2 0
0 1 1
10 2
2 2 0
3 2 3
3 1 3
2 2 2
0 1 0
2 2 3
1 0 2
3 1 0
3 0 2
3 3 2
10 7
0 1 1
0 1 2
0 2 1
1 0 0
2 2 2
2 1 1
2 2 1
2 0 2
2 1 0
2 2 0
10 9
0 0 2
1 0 1
2 1 0
2 2 0
2 0 0
0 0 0
0 2 1
1 0 0
1 1 2
1 2 2
10 8
0 1 1
2 0 2
0 1 0
2 1 2
1 2 0
2 0 1
0 0 0
0 0 1
1 2 1
2 1 0
10 6
2 0 1
0 3 0
0 2 2
3 0 2
3 1 3
2 3 1
2 3 3
3 0 0
2 0 0
3 0 3
10 4
1 1 0
2 1 2
0 2 1
2 2 1
2 1 0
2 0 0
0 0 0
1 0 0
2 2 0
1 2 1
10 4
0 0 2
2 2 1
1 2 3
2 3 3
2 1 2
3 0 1
0 1 1
2 1 0
0 1 2
0 3 2
10 6
3 1 3
3 3 3
0 3 1
2 1 3
3 2 3
2 0 1
1 2 2
3 0 2
3 2 2
0 2 1
10 8
0 2 1
2 0 0
1 0 2
2 1 2
0 1 2
1 2 1
0 0 2
1 1 1
1 1 2
2 0 1
10 5
2 2 0
2 0 0
1 2 1
1 0 1
2 1 1
1 2 2
2 1 2
0 1 0
0 1 2
2 1 0
10 5
0 1 2
3 1 0
0 3 2
0 3 3
0 0 1
2 2 1
0 2 2
1 1 3
2 0 0
3 1 3
10 8
2 0 1
2 1 1
2 2 2
0 2 2
1 2 1
2 1 0
1 2 0
2 0 2
2 1 2
0 2 1
10 3
1 2 2
0 0 2
0 1 1
0 1 2
1 0 1
1 2 1
1 0 2
2 1 0
0 2 1
1 0 0
10 9
0 2 2
2 2 0
2 1 2
0 2 1
2 0 2
1 2 0
2 1 0
2 0 1
2 2 2
0 0 2
10 9
3 3 1
2 3 2
0 2 3
3 3 3
1 0 0
1 2 0
1 2 2
0 1 2
0 3 3
1 0 2
10 3
1 2 0
1 2 2
0 2 2
2 2 0
0 0 0
0 1 0
2 2 2
0 1 1
2 1 1
1 1 1
10 5
1 2 1
2 2 0
2 2 2
1 2 2
0 1 1
2 1 0
0 0 2
0 2 1
1 0 2
1 1 0
10 6
1 2 0
1 2 2
0 2 2
0 1 1
0 1 2
0 2 1
2 2 1
1 1 2
2 1 1
2 2 0
10 6
1 1 0
2 1 2
1 0 0
2 0 0
0 2 0
2 2 0
2 0 2
2 2 2
2 2 1
1 1 2
10 8
1 1 0
1 2 0
0 2 1
2 1 2
1 1 1
0 0 2
0 1 2
0 0 1
2 2 0
0 2 2
10 7
2 2 0
2 2 3
0 2 0
0 3 2
2 2 2
3 2 2
2 1 2
3 3 0
3 0 0
1 0 1
10 5
3 2 2
1 0 0
3 1 1
2 1 0
3 3 1
2 2 3
3 2 0
2 0 0
1 2 1
1 2 2
10 4
2 1 0
2 0 1
0 2 0
0 1 2
2 2 0
1 0 2
1 1 2
2 1 1
0 0 0
2 0 2
10 2
1 2 1
0 2 2
1 2 2
2 0 2
0 0 2
2 2 0
0 1 1
1 0 1
2 2 1
0 1 2
10 7
0 2 0
1 0 1
2 2 0
0 0 2
2 2 1
0 1 0
2 1 0
2 1 1
1 2 1
1 0 0
10 3
2 0 2
3 0 2
2 3 0
2 2 2
1 3 2
3 2 1
0 3 1
3 3 0
3 0 3
0 2 1
10 3
2 3 1
2 1 1
2 3 3
1 2 1
2 2 3
0 0 3
0 1 1
3 1 0
0 0 0
3 1 3
10 5
2 1 2
2 2 1
2 1 1
0 1 1
1 0 1
2 2 0
1 2 1
1 0 2
2 0 2
0 0 0
10 8
2 3 3
2 2 0
0 1 0
2 2 2
0 3 2
0 2 3
1 1 1
1 2 0
3 3 2
0 0 2
10 7
2 1 2
0 0 1
3 3 1
3 2 2
3 3 3
3 0 1
2 2 1
3 2 0
2 0 3
3 3 0
10 5
0 0 3
0 1 0
0 3 2
1 0 0
0 2 0
0 1 1
0 1 2
1 2 2
0 3 3
3 1 2
10 3
1 1 1
0 1 1
2 2 0
1 1 2
2 2 1
2 1 1
1 2 0
1 2 2
0 2 1
2 0 0
10 7
3 0 2
2 3 0
1 0 0
1 1 0
2 2 3
1 3 2
1 0 3
2 1 1
3 3 3
0 3 0
10 5
1 2 1
1 2 2
0 2 2
1 0 2
2 2 0
0 2 1
1 1 0
1 0 1
2 0 0
1 1 1
10 4
2 3 1
1 1 0
0 0 2
3 0 0
1 2 2
0 0 3
1 1 2
3 1 1
3 2 0
3 1 2
10 8
2 3 2
0 2 0
0 0 1
3 3 2
1 1 0
0 2 1
0 0 0
1 1 3
3 1 2
1 3 2
10 3
0 3 2
2 3 0
0 1 1
3 0 0
2 1 0
3 3 2
2 0 0
2 0 1
0 2 2
0 0 2
10 9
1 2 1
0 0 1
0 1 0
2 3 1
3 1 3
2 2 3
2 1 3
1 1 2
2 1 1
2 0 1
10 6
2 2 1
1 1 0
1 2 2
0 0 2
1 0 0
1 0 1
1 0 2
0 2 0
2 0 0
2 0 2
10 3
3 3 0
3 0 2
0 0 0
1 3 0
1 1 2
1 1 1
1 3 2
3 1 3
0 3 2
1 2 1
10 5
2 0 2
0 2 2
3 1 2
1 1 1
1 3 3
3 0 1
0 1 1
1 3 2
0 3 3
3 1 3
10 7
2 2 3
3 2 1
0 3 0
1 0 3
2 1 2
2 3 3
0 3 1
1 3 0
3 3 3
0 0 1
10 8
2 2 1
0 1 0
1 0 0
1 2 2
0 1 2
1 2 0
1 1 1
1 0 1
1 0 2
2 0 2
10 2
1 1 0
0 3 2
1 2 1
2 1 3
0 1 2
1 2 0
1 1 2
0 0 2
1 0 1
2 0 0
10 5
1 0 1
2 0 1
2 2 1
0 0 1
2 1 1
2 2 2
1 2 2
0 2 1
0 1 2
0 2 2
10 5
2 1 1
0 3 1
3 3 2
1 0 2
1 2 1
2 3 0
1 0 1
1 1 1
0 1 1
1 3 1
10 6
2 1 1
0 1 0
3 0 2
0 3 2
1 0 0
1 2 0
3 3 1
0 1 3
0 3 0
0 0 1
10 7
3 3 1
0 0 2
1 0 1
3 1 0
2 0 1
1 1 1
2 1 2
3 1 2
1 1 0
0 1 1
10 3
3 1 1
1 3 2
2 2 0
2 2 3
3 1 0
3 2 2
1 3 0
3 3 1
0 1 0
3 0 2
10 3
0 1 1
1 0 1
2 0 0
2 1 2
1 2 2
0 1 0
0 1 2
0 2 1
0 0 1
1 1 2
10 7
2 2 2
0 0 2
0 1 0
1 1 2
0 0 0
2 1 1
0 2 0
2 1 0
1 0 0
2 0 1
10 6
2 0 2
0 2 2
2 2 0
1 1 0
1 1 2
2 1 1
0 2 0
2 1 2
1 2 0
1 0 1
10 3
1 0 0
0 0 1
1 2 0
2 1 2
1 0 1
1 0 2
2 1 1
1 2 1
2 2 1
2 2 0
10 5
0 0 1
2 2 2
0 1 0
2 1 2
1 0 1
1 2 2
0 0 0
2 1 1
1 2 0
2 2 0
10 3
0 2 0
1 3 3
0 0 1
1 3 1
2 3 3
1 2 1
2 2 0
1 1 3
0 1 0
0 0 2
10 4
2 0 2
2 2 1
1 1 2
0 0 1
2 1 0
2 2 2
1 1 1
1 1 0
0 0 2
2 0 0
10 5
0 0 2
0 2 0
2 0 0
0 1 1
1 2 0
0 0 0
2 1 1
2 0 1
1 0 1
2 1 2
10 9
1 1 0
2 0 2
0 1 0
2 0 0
2 1 0
1 0 2
2 2 0
2 1 2
0 1 1
0 0 0
10 5
2 2 0
1 1 0
0 1 1
0 0 1
0 1 2
0 1 0
2 0 1
1 1 2
2 0 0
1 1 1
10 5
2 0 2
0 0 0
0 2 0
2 0 0
0 1 0
2 2 1
1 0 0
2 1 2
1 2 2
0 2 1
10 3
2 3 0
3 0 0
3 3 1
1 0 1
3 0 1
2 1 2
2 2 0
3 3 3
2 3 3
1 3 2
10 7
0 1 2
1 0 1
2 2 1
0 1 1
0 2 1
0 0 2
1 0 0
2 0 2
0 2 2
1 1 2
10 9
0 3 3
3 2 1
1 1 3
2 2 1
1 3 3
3 0 1
2 1 0
0 0 2
0 0 3
3 1 1
10 6
3 2 0
2 1 3
2 3 0
0 1 1
2 0 1
0 2 1
0 3 1
1 2 3
3 2 3
1 0 0
10 2
2 0 0
1 0 0
1 1 0
0 1 0
2 1 1
1 2 0
1 2 1
2 1 2
0 0 0
0 1 1
10 5
0 1 1
1 0 0
2 1 2
0 2 1
2 1 1
2 0 2
2 2 0
0 2 2
0 1 2
1 1 2
10 4
2 0 0
0 2 0
1 2 2
1 0 0
1 0 1
0 2 1
1 2 1
0 1 2
1 2 0
0 1 1
10 9
0 0 0
1 1 1
1 2 1
2 2 0
2 1 2
1 2 2
1 2 0
0 0 1
2 1 0
1 1 2
10 8
2 0 1
0 1 2
1 0 1
1 2 2
2 1 1
1 2 0
0 1 0
0 0 2
0 0 0
1 1 2
10 5
2 3 2
3 3 0
2 2 1
3 1 0
3 2 3
0 1 3
2 1 2
1 2 0
3 0 2
1 3 0
10 2
1 0 0
0 2 1
2 0 0
1 2 1
1 2 2
1 0 2
0 0 1
2 1 2
0 0 2
2 0 2
10 2
2 1 0
1 1 1
0 2 2
1 3 0
3 2 0
2 0 3
0 0 1
1 2 2
1 1 0
3 2 1
10 8
0 0 2
0 0 0
2 2 2
0 2 1
1 2 2
2 0 0
2 1 0
2 0 1
2 1 1
1 1 2
10 2
0 1 2
0 0 2
0 2 2
0 1 1
1 0 0
2 1 1
2 1 0
0 2 1
1 2 1
1 2 2
10 6
0 2 2
0 0 2
1 1 2
1 0 1
2 1 0
1 1 0
2 1 1
2 0 2
1 2 2
1 0 2
10 4
2 3 2
3 2 0
1 2 0
3 3 2
3 0 1
2 1 3
1 0 3
1 2 2
0 1 1
2 1 1
10 3
2 2 3
3 1 3
1 3 3
3 1 1
0 0 0
1 0 1
0 3 0
3 2 3
1 2 0
0 0 3
10 7
3 3 0
3 2 0
0 3 3
3 0 3
3 0 0
2 0 1
3 2 3
0 1 2
0 0 0
0 2 3
10 4
1 1 2
2 2 3
0 3 1
0 3 3
1 3 0
2 3 3
1 2 1
2 0 0
1 0 0
1 2 2
10 4
1 3 2
2 2 0
3 3 1
0 1 1
2 3 0
1 1 2
3 3 0
2 3 3
2 3 1
3 1 2
10 2
2 0 2
2 1 2
0 0 1
1 2 0
0 1 1
2 0 1
0 2 2
0 0 0
0 1 2
2 2 1
10 2
2 1 1
2 0 0
0 0 1
0 0 0
0 2 1
0 1 0
1 0 1
1 0 2
2 2 0
2 2 1
10 5
1 2 3
2 3 1
1 1 3
0 1 3
2 0 0
3 3 3
0 2 1
3 1 3
3 3 0
1 0 0
10 8
0 1 2
0 2 2
1 0 0
2 1 0
2 2 2
0 0 1
2 0 1
2 0 2
1 2 2
1 1 2
10 9
2 0 1
2 2 1
0 2 1
0 1 2
2 0 0
1 1 2
2 2 0
2 0 2
2 1 2
0 1 1
10 4
1 1 0
0 1 0
3 2 1
3 2 2
0 3 1
3 3 0
2 1 2
0 1 3
1 3 0
3 2 0
10 9
1 0 2
2 2 1
2 0 1
0 1 2
2 1 2
2 2 0
1 2 1
1 1 2
0 0 2
1 1 1
10 8
2 0 1
0 1 2
1 1 1
0 1 0
2 1 0
2 0 0
1 2 0
1 0 0
2 1 2
0 2 0
10 3
2 0 1
0 2 3
1 2 3
1 1 3
3 0 0
3 3 1
2 2 0
0 2 1
1 2 1
2 1 2
10 2
2 2 0
0 2 0
1 0 1
0 0 2
1 2 2
2 1 1
0 1 2
1 2 1
0 2 2
1 2 0
10 2
0 2 2
3 1 2
0 3 3
0 0 3
3 0 3
3 1 0
0 3 0
3 3 2
1 0 2
1 1 3
10 2
3 2 1
3 0 3
3 2 0
3 0 1
1 2 2
2 0 2
2 2 1
3 1 3
1 3 1
2 1 0
10 2
0 0 0
1 2 0
0 0 1
1 2 1
0 1 2
1 0 1
0 0 2
2 2 2
1 2 2
2 2 0
10 4
3 0 3
3 3 2
1 1 3
0 0 2
3 0 0
2 0 2
1 2 1
3 0 1
2 0 0
0 3 3
10 3
0 1 3
0 3 2
1 0 1
2 3 0
0 3 0
1 0 0
1 2 3
0 0 0
3 2 3
1 3 2
10 8
3 1 1
0 1 3
1 3 1
2 3 1
3 3 2
2 3 3
3 2 0
3 0 1
0 1 2
1 1 1
10 5
0 2 1
0 2 0
3 1 2
2 3 0
3 0 1
3 0 3
2 2 0
3 0 0
3 3 0
3 2 2
10 5
3 0 3
1 2 3
0 0 1
2 3 1
3 0 2
3 1 3
2 0 2
2 1 2
3 0 1
1 1 2
10 3
2 2 1
0 1 0
3 2 2
2 0 0
2 3 3
2 1 0
3 3 1
0 3 0
0 0 0
2 1 2
10 8
3 0 0
3 2 2
1 2 3
2 1 2
0 0 0
1 3 3
0 3 2
2 1 0
2 1 1
2 3 0
10 4
1 3 3
2 0 0
0 0 2
0 2 2
3 3 2
3 3 3
1 2 1
2 2 0
1 0 2
2 1 2
10 8
0 3 3
2 3 3
2 1 2
0 1 1
0 3 1
2 2 2
2 2 0
0 1 2
1 3 1
2 2 1
10 2
0 2 0
0 2 2
0 0 2
0 0 1
0 0 0
2 0 0
0 2 1
1 2 2
0 1 0
2 1 2
10 7
0 0 2
2 2 0
2 2 2
0 0 1
2 2 1
2 1 0
0 2 0
1 0 1
2 1 2
1 2 2
10 4
1 1 0
0 0 0
0 0 1
0 2 1
0 0 2
2 0 0
0 2 2
2 1 0
1 2 2
0 1 1
10 7
2 0 2
1 0 0
0 2 0
0 1 2
0 0 0
0 2 2
1 1 1
1 2 2
2 2 1
1 2 0
10 2
0 1 0
0 0 2
2 0 2
1 1 2
1 0 0
1 0 2
2 2 1
2 0 0
2 1 0
0 1 2
10 3
0 1 2
1 0 1
2 1 1
2 0 2
1 2 1
0 0 1
0 2 1
2 2 1
1 2 0
1 1 1
10 9
0 2 2
1 1 2
1 0 1
2 1 2
2 0 0
2 2 1
1 2 1
1 2 2
2 0 1
1 1 0
10 8
2 2 1
1 1 2
0 0 1
0 1 1
0 0 2
0 0 0
0 2 1
1 2 1
2 0 0
1 2 0
10 2
1 0 2
0 2 2
0 0 2
1 2 2
0 1 0
0 2 0
2 2 2
1 0 1
1 1 2
2 0 2
10 5
1 1 1
1 1 0
0 1 1
2 0 0
3 3 2
1 3 2
2 3 1
2 3 2
1 2 3
2 1 3
10 7
1 0 3
1 3 2
3 0 0
3 2 2
3 0 3
2 3 0
0 1 0
1 1 2
3 3 2
1 0 2
10 6
1 3 3
2 3 1
2 1 0
3 0 1
0 3 2
2 1 3
3 1 2
0 1 3
0 0 2
0 3 3
10 9
1 3 1
1 2 1
2 1 2
1 2 0
1 0 2
2 1 3
0 0 1
1 0 0
1 3 3
3 3 1
10 7
0 2 0
0 0 1
1 2 1
0 1 1
1 2 2
0 2 2
0 2 1
2 2 1
0 1 0
2 1 1
10 7
2 2 1
1 1 1
0 2 2
2 0 0
1 1 0
0 0 0
1 1 2
0 2 1
2 0 1
2 2 2
10 2
1 3 0
1 0 0
0 2 0
3 1 1
3 2 1
3 2 0
1 0 2
2 0 2
1 2 0
0 2 2
10 2
1 3 2
3 3 3
1 3 3
2 0 0
3 2 2
3 3 1
1 0 2
3 2 1
2 3 0
0 3 3
10 4
3 2 0
3 1 1
3 3 1
1 2 0
3 3 2
3 1 2
3 3 0
1 3 2
2 0 1
0 1 1
10 5
3 1 2
1 1 0
2 3 1
0 2 2
0 0 3
3 3 3
2 0 2
2 1 3
3 2 2
2 0 1
10 4
0 1 2
2 3 2
1 1 1
1 2 1
3 2 2
3 1 3
3 0 1
2 2 0
1 1 3
0 0 1
10 8
2 1 3
2 1 2
3 3 2
1 1 1
0 3 2
2 1 1
0 1 1
2 3 1
2 0 3
3 1 3
10 5
2 1 2
1 0 0
0 0 1
1 2 1
2 0 1
2 2 2
1 2 2
0 1 2
2 2 0
0 2 0
10 8
1 2 3
0 3 3
1 3 0
1 3 3
3 0 0
3 3 3
1 1 1
1 1 2
1 0 3
3 2 2
10 7
2 1 1
2 0 2
0 1 2
2 0 1
3 2 0
0 1 1
1 2 2
1 0 2
1 2 3
0 0 3
10 4
3 2 3
0 2 3
1 1 3
0 2 0
0 1 1
0 0 3
0 3 2
1 2 1
0 1 3
1 0 3
10 7
2 1 1
1 0 2
0 0 0
0 1 2
1 0 1
2 2 1
1 2 2
0 1 1
2 0 0
0 0 1
10 2
1 0 2
0 1 2
2 0 1
0 1 1
2 1 2
0 2 0
2 2 1
2 1 1
1 2 0
0 1 0
10 6
0 2 2
0 1 0
1 1 2
0 1 1
1 0 0
2 1 1
0 0 2
1 1 0
2 1 0
2 2 1
10 5
1 1 1
0 1 0
1 3 2
0 3 2
0 3 1
0 3 3
2 1 0
2 3 3
2 2 1
0 2 3
10 5
0 0 2
0 1 1
1 2 2
0 1 2
2 0 2
1 0 0
0 0 0
0 0 1
1 0 1
2 1 1
10 5
1 2 0
0 0 0
0 2 2
1 0 1
1 2 1
0 0 1
0 1 2
0 1 1
2 0 2
1 0 2
10 8
0 0 0
2 2 2
1 2 2
0 2 1
0 0 2
0 1 0
2 2 1
1 1 0
2 2 0
2 1 2
10 5
1 1 0
0 2 2
1 1 2
1 0 0
2 2 0
0 1 2
2 0 1
2 1 0
1 0 2
1 2 2
10 4
0 2 1
0 2 0
0 0 2
2 2 1
0 1 2
2 2 2
0 2 2
0 1 0
2 0 0
2 0 2
10 9
0 0 2
3 1 1
1 1 2
0 1 2
0 0 1
3 3 0
2 1 1
2 1 0
2 1 3
0 3 0
10 7
0 1 2
0 0 2
0 1 0
0 2 2
1 2 2
2 2 2
1 1 1
1 2 1
0 1 1
1 0 0
10 7
2 0 1
2 2 1
2 2 2
1 2 0
1 0 2
1 0 1
2 1 0
1 2 2
0 1 0
2 0 2
10 2
0 0 3
2 2 1
0 3 2
1 2 2
3 0 1
1 2 0
2 1 2
3 3 1
3 1 2
2 1 0
10 3
1 1 0
0 0 0
0 2 1
1 1 2
2 0 0
1 0 2
2 0 1
2 2 1
2 2 2
1 2 1
10 4
1 2 2
0 0 1
2 1 3
0 3 3
2 3 1
1 0 2
3 2 3
2 3 3
2 0 3
0 0 3
10 7
1 1 2
0 0 1
2 0 3
2 1 0
3 3 1
0 2 0
1 2 1
3 1 2
2 3 3
1 0 1
10 4
3 3 3
1 3 1
1 1 1
0 1 0
0 2 0
3 2 2
1 2 3
0 0 3
1 3 0
2 2 2
10 8
2 1 0
1 2 1
1 0 2
0 0 1
1 2 0
0 1 2
2 1 2
2 0 1
2 2 0
1 0 0
10 4
0 1 0
3 0 2
2 0 2
2 0 0
1 2 2
3 2 3
2 1 2
0 3 3
2 1 3
2 0 1
10 4
1 0 3
3 1 3
1 0 1
2 2 2
3 2 1
0 2 1
0 3 1
1 3 1
2 3 2
3 3 2
10 7
1 0 0
1 2 1
1 1 1
1 2 2
0 0 0
2 2 2
2 0 2
2 1 2
1 0 1
0 1 0
10 2
2 2 1
2 0 3
0 1 0
1 1 3
3 2 3
1 3 3
1 2 2
3 3 2
2 3 0
1 2 3
10 2
1 0 0
0 2 1
2 1 2
1 0 1
2 2 2
2 2 0
1 2 1
0 0 0
2 2 1
0 0 1
10 7
0 3 3
2 1 3
1 1 1
2 0 1
1 0 0
1 2 0
0 2 0
2 2 0
0 1 0
2 0 0
10 5
2 0 2
3 2 2
0 0 3
0 0 2
3 3 2
2 1 1
2 2 0
3 1 0
1 3 3
1 1 3
10 2
0 0 3
3 1 3
0 2 3
0 3 3
1 0 3
1 3 2
0 1 0
1 0 2
1 0 0
1 1 2
10 8
0 0 2
1 1 0
0 3 1
2 1 2
1 0 1
3 2 0
0 1 3
3 2 1
2 0 2
0 2 1
10 3
3 3 3
3 0 0
2 2 0
0 0 2
1 3 0
2 1 1
3 1 1
3 0 2
2 1 3
0 1 2
10 5
0 2 3
0 3 0
2 0 0
1 3 2
2 2 0
2 3 0
3 3 1
0 0 2
2 0 3
1 3 3
10 7
3 3 3
2 0 2
0 2 2
0 2 1
0 2 3
3 0 1
0 1 3
3 0 0
2 2 2
2 3 0
10 9
3 2 1
1 1 0
0 3 3
3 2 3
2 2 3
1 2 1
3 1 1
2 2 1
2 0 3
0 1 3
10 9
0 0 0
1 2 0
0 2 0
1 0 2
0 0 1
0 2 2
2 0 0
2 1 0
2 1 1
2 2 2
10 6
0 2 0
2 1 3
3 3 2
1 2 2
3 0 0
2 1 2
0 0 0
1 3 0
2 3 0
2 1 1
10 3
3 2 3
0 2 1
2 0 3
2 2 2
3 1 3
3 1 0
0 0 0
3 0 2
2 1 0
3 2 1
10 6
2 1 0
1 0 2
0 2 2
2 2 1
0 2 1
0 0 0
2 1 2
2 2 0
1 1 0
0 0 1
10 3
0 1 2
2 1 1
0 2 2
1 2 2
0 2 0
0 2 1
2 2 0
2 2 2
1 2 1
0 0 0
10 7
0 2 0
1 0 0
1 1 0
1 2 2
1 1 2
2 0 2
0 1 2
1 0 2
2 1 1
1 1 1
10 6
2 1 0
2 2 2
0 0 1
0 1 2
1 2 0
1 1 2
0 2 1
1 2 2
1 0 1
0 2 2
10 9
1 1 1
2 2 2
2 0 2
0 1 0
2 2 0
2 2 1
0 2 1
2 0 0
2 1 2
0 2 2
10 6
0 1 0
0 2 0
1 2 1
2 1 0
0 0 1
1 0 1
2 1 1
2 0 1
1 1 0
2 2 0
10 8
2 2 0
1 2 0
1 2 2
2 1 1
2 0 1
0 1 1
1 1 0
0 0 2
0 2 0
0 2 1
10 6
0 2 2
2 2 0
2 0 3
0 1 2
3 3 0
3 0 3
3 2 0
1 0 0
2 2 1
1 1 2
10 2
0 2 2
2 0 2
0 0 1
1 0 2
2 0 1
2 1 2
1 0 0
2 2 0
0 1 1
1 2 1
10 8
0 1 1
2 1 0
2 2 2
0 0 1
0 0 0
1 0 2
1 1 1
2 0 2
0 2 0
0 1 0
10 3
2 3 1
0 1 3
1 0 2
3 1 3
0 1 2
3 2 2
2 0 2
0 2 1
1 0 0
3 2 3
10 4
1 1 2
1 0 0
0 1 1
0 3 3
3 0 3
1 1 3
2 0 1
3 1 2
1 2 0
2 0 3
10 3
2 0 2
1 1 1
2 2 2
2 2 0
2 2 1
0 0 1
0 1 2
1 1 0
1 2 0
0 1 0
10 9
2 1 0
2 0 2
1 2 0
1 1 0
2 0 0
2 2 2
0 1 0
1 1 1
2 0 1
0 0 2
10 8
1 1 2
3 3 1
0 2 2
3 0 2
2 1 2
1 0 0
1 1 0
2 3 2
3 2 3
0 3 1
10 4
1 3 1
1 2 2
0 2 3
0 2 0
1 1 0
1 2 1
2 3 3
2 3 0
3 1 1
1 2 3
10 4
3 1 1
3 3 2
2 3 0
3 0 1
3 0 0
2 2 1
0 0 2
2 0 3
1 2 1
2 0 1
10 9
1 3 1
3 0 2
3 0 3
3 2 2
1 0 0
0 0 1
0 0 2
0 3 0
3 1 0
1 0 2
10 2
2 1 2
2 0 2
2 2 2
1 1 1
2 1 0
0 1 0
0 0 1
2 2 0
1 2 0
0 0 0
10 5
2 2 1
2 0 1
0 0 2
1 1 0
2 2 0
0 0 1
2 1 1
0 2 0
1 1 2
0 2 1
10 9
3 0 0
3 1 0
3 3 3
1 0 2
2 2 3
0 2 2
3 2 1
2 3 2
1 3 3
3 2 3
10 2
2 2 0
1 3 1
1 1 2
3 2 1
0 0 3
1 2 0
0 0 0
3 1 1
1 2 2
3 3 0
10 7
1 1 1
2 0 0
0 0 2
0 1 1
1 1 0
0 2 0
1 0 1
0 1 2
0 2 2
0 1 0
10 4
2 0 3
2 3 2
1 3 3
1 3 2
2 1 2
3 0 1
1 0 1
0 0 0
3 0 0
3 1 2
10 6
2 1 2
0 0 2
2 2 1
1 1 2
1 2 2
2 1 0
1 0 2
2 0 0
1 2 0
2 0 1
10 6
1 0 1
2 0 2
3 2 2
3 0 0
1 2 1
0 2 0
3 1 0
2 3 1
1 1 0
1 3 0
10 4
0 0 0
0 1 0
1 1 1
1 1 2
0 2 0
2 0 1
0 0 1
1 0 0
0 2 2
2 1 0
10 8
2 2 2
2 3 0
3 1 2
1 1 2
3 3 1
1 0 3
0 3 3
1 2 3
1 0 2
3 2 2
10 5
2 3 2
2 2 0
2 3 1
3 2 3
0 2 1
3 2 0
3 1 3
0 3 2
0 3 1
3 0 2
10 9
0 1 0
2 0 1
2 2 2
1 2 0
0 3 0
3 3 1
0 3 1
3 0 0
3 0 1
0 2 2
10 9
0 2 2
1 1 2
1 0 0
0 1 0
2 2 2
1 2 0
1 2 1
2 0 0
1 1 1
2 1 1
10 8
2 1 0
1 1 1
1 2 1
0 1 1
2 1 2
2 0 2
2 0 1
1 1 2
1 1 0
1 2 2
10 5
0 1 2
0 2 0
2 0 1
2 2 0
0 1 0
1 2 2
1 1 1
0 0 1
2 2 1
1 1 2
10 6
0 1 1
0 0 0
1 2 2
0 1 0
0 1 2
1 1 0
2 2 0
2 1 2
2 1 0
1 0 1
10 8
2 2 2
0 2 0
1 2 1
0 2 2
0 0 2
1 2 0
1 1 1
0 1 0
2 2 1
0 1 1
10 5
0 0 1
3 3 3
2 2 1
0 2 2
1 0 3
2 1 0
0 2 3
3 2 1
3 2 2
3 2 0
10 2
1 0 0
0 1 0
1 2 0
0 2 1
0 1 1
1 1 1
1 2 1
0 2 2
2 0 0
2 0 1
10 3
0 0 1
1 0 0
2 2 1
0 2 0
0 1 0
1 0 2
0 0 2
2 2 2
2 2 0
0 2 1
10 7
3 1 3
3 2 3
0 3 2
0 3 0
2 2 1
1 0 0
1 1 3
1 2 0
3 1 1
3 0 0
10 6
1 0 1
1 2 2
0 2 2
2 2 2
2 0 2
2 1 1
1 2 0
0 2 0
1 1 1
0 1 1
10 7
3 1 2
2 3 0
1 2 0
0 0 0
2 0 2
2 1 2
3 2 3
3 1 1
0 3 0
0 1 1
10 9
1 2 1
0 0 1
1 2 2
0 1 0
1 1 2
0 2 0
2 1 1
0 1 2
2 0 2
0 0 2
10 2
1 2 2
0 1 2
1 1 0
1 0 1
1 2 0
2 1 1
0 0 1
1 1 2
0 2 0
0 1 0
10 8
2 2 0
0 2 1
1 0 0
1 2 0
0 1 2
1 0 2
0 1 0
1 1 2
2 2 2
2 1 2
10 5
1 1 2
1 1 1
0 0 1
3 3 3
2 0 0
3 0 1
2 3 0
0 2 3
1 0 3
0 1 0
10 5
3 0 0
1 0 0
2 2 2
3 0 3
2 1 2
1 2 2
1 3 0
0 2 1
0 2 3
3 2 3
10 8
1 1 2
1 1 0
1 0 0
0 1 2
1 2 1
0 0 2
1 2 2
2 1 2
1 2 0
0 1 0
10 5
2 2 1
0 2 1
0 3 0
0 0 3
3 0 1
2 2 3
2 0 0
1 1 2
3 2 3
0 2 0
10 9
3 2 2
1 1 0
3 0 3
1 1 1
0 0 2
1 2 1
3 3 0
0 1 3
1 0 3
3 1 2
10 7
3 2 1
0 1 2
1 1 1
1 0 0
0 2 3
1 3 3
1 0 3
2 2 0
2 3 0
1 0 1
10 2
0 1 3
2 1 1
1 0 0
0 2 3
2 2 0
1 3 2
3 1 1
1 2 3
1 1 0
3 2 2
10 5
0 2 2
1 1 0
3 3 3
0 1 3
2 3 1
3 1 3
1 1 2
3 3 0
3 2 1
3 2 2
10 2
1 0 0
0 2 2
2 2 2
1 0 2
1 1 0
0 1 1
1 2 0
0 0 1
2 1 0
2 0 2
10 2
0 2 0
2 0 0
2 1 1
0 2 2
1 0 2
0 1 0
1 1 0
2 1 2
1 2 2
0 0 0
10 2
0 3 3
2 1 0
0 1 2
3 1 1
3 0 0
1 2 0
1 3 3
1 0 2
1 1 1
0 3 1
10 4
1 1 2
0 0 1
0 1 0
2 0 0
2 1 2
0 2 0
1 0 1
1 0 2
2 1 0
2 0 2
10 3
1 0 2
2 1 1
2 1 3
3 2 3
3 2 2
2 0 1
0 2 3
2 0 2
1 0 1
0 0 2
10 6
1 3 2
2 2 3
0 1 0
3 1 0
2 2 2
2 1 2
1 1 0
0 2 0
1 0 1
1 3 0
10 8
0 0 1
1 0 2
0 0 0
2 1 1
2 1 2
0 2 0
0 1 1
0 2 1
2 2 2
2 0 1
10 9
2 0 2
2 2 2
0 2 2
0 0 2
1 2 2
2 2 0
2 2 1
1 1 1
0 2 0
1 0 2
10 9
0 2 0
2 1 2
1 1 2
1 0 2
2 0 2
2 2 2
0 0 2
0 2 1
0 1 1
0 2 2
10 3
0 2 2
2 0 2
2 1 1
1 1 2
2 2 1
0 1 1
0 0 1
0 2 0
2 0 0
1 2 1
10 9
1 0 2
3 0 3
0 1 0
1 0 3
1 3 3
3 3 1
0 3 1
2 2 0
0 2 3
1 2 2
10 5
2 2 1
0 1 2
0 2 2
2 1 2
1 2 2
1 1 0
1 2 0
1 1 1
0 0 1
0 1 1
10 6
3 1 0
0 1 2
1 3 0
2 0 0
2 3 2
0 0 2
0 0 3
1 3 1
2 1 0
0 2 1
10 7
0 0 0
2 0 2
2 2 1
2 2 0
2 2 2
1 0 0
0 2 1
1 2 2
1 1 0
0 1 0
10 4
1 0 0
0 1 2
1 2 0
2 1 3
2 2 1
1 0 2
1 2 1
0 3 2
2 2 3
1 1 1
10 2
2 2 0
0 0 0
2 2 2
2 0 1
1 2 1
1 0 1
0 1 0
2 2 1
0 2 0
1 2 2
10 6
2 0 0
0 2 3
1 1 3
2 1 2
1 3 3
0 3 1
2 2 1
3 0 2
3 1 1
2 2 0
10 2
2 0 3
3 1 1
1 3 3
2 1 3
0 1 2
1 2 1
3 3 1
0 2 3
1 3 2
0 1 0
10 4
2 1 2
0 1 0
0 0 2
2 1 0
0 2 1
1 2 1
1 1 1
0 2 0
2 0 0
2 2 1
10 4
0 0 3
1 1 0
3 2 1
2 2 3
0 2 2
0 1 2
1 3 3
1 3 0
3 2 2
2 1 3
10 3
2 1 0
2 1 2
0 0 0
0 2 1
2 0 0
1 1 1
0 0 1
1 2 1
0 2 0
0 1 0
10 2
1 1 1
0 3 2
3 1 3
3 2 2
3 1 2
3 0 0
2 0 3
0 0 0
1 3 2
1 1 2
10 7
0 0 2
0 1 0
2 0 1
1 2 1
2 2 2
2 0 2
0 1 1
2 1 1
0 1 2
1 2 2
10 6
0 1 1
3 0 0
1 2 1
2 3 3
1 2 2
2 1 2
1 3 3
3 2 3
2 0 3
1 1 0
10 6
2 3 3
2 1 2
1 3 3
1 0 1
1 1 0
0 1 0
3 2 1
1 0 3
3 2 0
1 0 0
10 8
3 1 3
1 3 1
1 1 1
0 0 3
2 3 2
1 2 0
0 1 0
3 0 2
1 0 3
2 1 3
10 5
2 1 0
1 1 2
1 3 0
3 3 3
2 0 2
0 1 2
1 2 0
0 3 2
0 1 0
0 1 1
10 6
0 1 1
1 1 0
2 0 1
0 1 0
1 2 0
1 0 0
2 1 1
0 0 1
0 2 0
0 1 2
10 5
0 0 3
1 1 1
0 2 0
3 1 2
3 3 2
1 2 3
2 3 1
2 0 0
2 0 1
0 0 2
10 5
3 3 0
2 1 1
2 0 3
1 0 0
1 3 2
3 0 1
2 3 0
0 3 2
3 2 1
2 2 3
10 2
1 0 2
1 0 0
2 0 0
1 1 1
1 1 0
2 0 1
0 1 2
1 0 1
2 1 2
1 2 2
10 2
0 3 0
0 1 1
2 3 3
0 0 1
2 1 3
3 1 2
2 0 2
3 0 2
3 1 0
3 0 0
10 3
0 0 3
3 0 2
2 3 2
2 3 3
0 3 0
3 0 3
0 3 1
0 3 2
3 3 1
3 1 2
10 9
3 3 0
2 3 1
1 2 2
3 2 1
3 1 0
2 1 2
0 2 0
2 0 1
1 0 2
2 3 3
10 8
3 1 1
0 0 3
0 1 0
0 3 3
1 1 1
2 3 1
0 1 3
3 1 3
1 0 3
1 0 2
10 3
0 2 2
2 0 2
1 1 0
0 2 1
2 2 1
1 1 1
1 0 2
1 1 2
1 2 1
2 0 0
10 9
2 1 0
0 3 2
2 2 2
0 2 3
1 2 1
0 3 3
1 1 0
2 3 0
2 2 1
3 2 3
10 7
1 2 0
1 1 1
1 2 1
2 1 2
0 1 0
0 2 1
1 1 2
1 0 0
0 1 1
2 2 2
10 6
3 3 2
2 3 3
1 0 3
3 2 3
1 0 0
2 3 0
1 3 0
0 2 0
1 3 1
0 2 1
10 6
0 1 1
2 3 1
1 3 1
1 1 3
2 3 2
0 0 2
1 3 0
3 1 2
0 2 3
2 1 1
10 9
0 0 2
0 2 2
0 0 1
2 1 0
1 0 1
1 1 2
0 2 1
2 0 2
1 1 1
0 1 1
10 6
1 1 0
2 0 1
1 1 2
0 3 1
3 0 3
1 3 2
3 0 2
1 1 1
2 2 2
0 0 3
10 2
1 3 2
1 1 0
2 1 3
0 3 3
2 2 2
1 0 3
2 2 1
2 3 1
3 2 3
3 3 3
10 2
2 1 1
0 1 2
1 0 2
2 0 2
2 0 0
1 1 0
1 2 0
1 1 2
2 1 0
2 1 2
10 7
1 1 0
1 2 1
2 1 1
3 2 3
0 1 1
3 1 2
2 0 0
1 1 3
2 2 1
0 0 0
10 9
2 1 1
0 0 0
0 1 1
2 0 0
1 2 0
0 0 1
1 2 2
0 2 1
2 1 0
1 0 1
10 9
1 2 0
0 2 1
2 1 1
2 2 2
0 2 2
2 0 2
0 0 1
0 1 2
2 2 0
0 0 0
10 8
1 1 0
0 0 0
2 2 0
2 0 2
1 2 2
2 0 0
0 2 0
2 2 2
2 1 0
2 0 1
10 4
0 1 2
2 0 2
2 2 1
0 2 2
0 0 0
2 1 2
0 2 0
1 2 2
0 0 2
0 2 1
10 2
2 1 3
2 1 1
1 3 0
1 1 2
3 0 3
2 2 3
0 1 3
3 1 3
2 2 1
1 0 1
10 9
2 2 0
1 2 2
2 1 2
2 0 1
2 2 2
1 2 0
1 0 2
0 1 2
1 1 1
0 2 0
10 9
0 3 3
1 1 3
3 1 2
0 2 3
3 2 3
1 0 0
3 3 2
2 2 0
3 1 3
3 2 2
10 6
1 3 3
2 3 2
3 0 0
1 3 0
2 3 0
3 0 3
1 2 1
3 1 1
1 3 1
1 0 3
10 6
1 1 0
2 2 1
2 1 1
1 2 1
0 1 1
0 0 2
1 2 0
0 1 0
1 0 1
0 2 1
10 3
0 3 0
0 0 2
2 2 1
1 0 2
1 3 3
0 3 2
0 1 2
1 0 0
2 2 0
3 2 1
10 2
0 2 0
1 1 1
3 1 3
1 2 3
1 0 0
3 3 0
3 2 3
0 0 0
0 1 0
2 1 0
10 6
1 0 2
2 1 0
3 3 2
3 0 0
0 2 2
0 1 2
3 2 0
3 2 2
3 3 3
1 2 0
10 6
2 0 3
3 1 1
2 0 1
1 3 3
3 0 1
2 3 2
0 3 2
3 1 0
3 2 2
0 0 0
10 8
2 2 2
1 3 1
2 1 2
0 1 3
3 0 0
0 2 1
2 2 0
0 1 1
3 2 0
0 2 3
10 9
0 0 2
1 2 1
1 1 2
1 3 0
2 1 0
3 2 1
1 1 0
0 3 0
2 1 1
2 0 1
10 4
2 2 3
0 3 3
1 1 1
0 2 3
3 3 2
3 0 3
1 1 0
0 3 2
0 1 0
0 3 1
10 9
2 2 1
2 3 2
3 3 0
2 1 3
1 2 1
1 2 0
3 0 1
0 3 0
2 1 2
0 1 1
10 2
3 3 0
3 0 2
1 0 0
3 3 2
1 1 2
0 2 2
1 3 3
2 2 3
3 1 3
3 1 1
10 9
1 1 0
0 0 1
1 1 2
2 0 2
1 0 0
1 2 0
1 1 1
2 2 2
0 1 1
2 1 2
10 6
0 0 1
2 1 0
0 1 1
0 2 2
2 2 0
0 0 2
1 1 2
0 1 2
1 1 1
0 2 0
10 7
2 3 0
3 0 2
3 1 2
0 1 3
2 1 3
1 0 3
2 1 0
3 2 3
0 2 2
2 2 1
10 7
2 3 3
1 2 2
2 3 1
0 1 2
3 0 2
0 2 3
1 1 2
3 1 2
2 0 0
3 1 3
10 3
0 2 2
0 2 1
0 0 2
2 2 0
1 2 1
0 0 0
2 2 1
1 1 1
0 1 1
2 1 2
10 2
2 0 2
0 2 0
2 2 1
0 1 1
1 0 2
1 1 1
1 2 2
1 1 0
0 1 2
1 2 0
10 3
0 1 2
1 1 0
0 0 0
2 2 0
0 2 1
1 1 1
2 1 1
1 0 2
1 0 1
2 0 0
10 5
0 0 2
1 1 2
2 0 1
0 2 0
1 2 2
1 0 2
0 2 1
2 1 1
2 0 2
2 2 0
10 5
0 1 2
2 0 0
0 0 0
1 1 0
0 1 0
1 1 2
2 2 0
0 2 1
0 0 2
0 2 0
10 9
1 1 1
2 2 0
1 1 0
0 2 1
2 1 1
0 0 1
0 2 2
2 2 1
1 2 1
1 0 2
10 7
0 2 2
1 1 2
2 1 1
0 2 0
1 0 1
0 2 1
0 0 2
1 2 1
0 1 0
2 1 2
10 8
1 3 2
2 3 2
2 2 0
2 3 0
2 3 3
3 1 1
1 0 3
2 1 2
1 0 2
1 0 1
10 3
3 2 1
3 0 2
3 1 1
2 0 1
0 0 0
0 2 1
2 2 3
2 1 2
3 3 0
3 0 1
10 8
3 2 0
3 0 3
2 3 3
2 2 0
0 3 0
0 3 3
0 3 2
2 2 2
1 2 1
2 2 3
10 7
1 1 2
1 0 2
2 1 2
2 0 1
0 0 0
0 2 0
0 2 1
1 2 0
1 1 1
2 1 1
10 5
2 2 1
0 1 0
1 2 2
0 2 2
1 2 1
2 1 2
1 1 1
1 1 0
1 0 2
2 1 1
10 9
3 2 1
3 2 2
0 1 0
2 2 1
0 3 1
0 1 3
3 0 3
2 1 0
1 3 0
0 2 0
10 3
0 2 2
2 0 1
2 1 1
2 1 0
0 1 0
1 0 0
2 0 2
2 2 0
2 2 1
0 1 1
10 9
1 1 1
0 2 0
1 1 0
0 2 1
0 1 1
2 1 1
1 0 1
0 0 2
2 2 1
0 1 2
10 2
2 2 2
0 1 1
2 1 2
1 0 1
0 0 2
1 1 2
0 2 1
2 1 1
1 2 0
2 0 0
10 6
1 2 1
1 1 2
1 2 2
1 1 0
2 2 1
2 0 0
1 0 1
2 0 2
0 0 1
1 0 2
10 7
3 3 0
2 0 3
3 3 1
3 2 2
2 0 1
0 3 1
0 3 3
2 1 2
3 2 0
0 0 2
10 8
3 2 3
1 3 0
1 2 3
1 1 1
0 2 0
2 0 2
1 1 2
0 2 3
3 2 0
2 0 0
10 6
2 1 3
2 3 3
0 2 1
2 2 3
0 1 0
2 0 1
0 0 0
3 1 1
1 0 3
1 2 1
10 4
2 0 2
0 1 2
2 2 2
0 0 1
0 1 1
1 2 1
2 1 1
1 0 0
0 2 1
0 2 0
10 4
0 1 0
3 0 3
3 0 2
2 2 2
0 3 2
1 3 3
1 2 3
0 1 1
3 2 3
2 2 1
10 8
0 1 0
2 1 1
2 2 3
1 2 1
3 1 3
0 2 1
1 0 2
0 0 2
2 2 1
0 0 1
10 5
2 2 1
2 2 2
1 1 1
1 1 2
1 0 1
0 2 1
2 0 2
2 0 1
0 2 0
1 0 0
10 5
2 0 1
2 2 0
2 0 2
0 0 2
1 0 0
1 2 0
0 2 1
1 1 0
2 0 0
2 1 1
10 8
2 1 1
1 1 2
0 0 0
2 2 1
2 0 0
1 0 2
1 0 1
0 2 2
2 0 1
1 1 1
10 3
0 0 1
0 0 0
2 0 1
0 1 0
1 0 1
1 0 0
0 1 2
1 2 0
1 1 2
2 1 0
10 2
3 0 0
1 3 0
0 0 3
0 0 2
3 3 1
1 1 3
3 3 0
0 2 3
3 2 0
1 1 1
10 2
0 2 0
2 1 2
1 2 0
1 2 2
2 2 2
1 0 2
0 1 0
1 1 1
2 1 1
0 0 2
10 9
3 1 0
1 2 3
2 3 3
0 1 0
3 3 1
0 3 0
2 2 0
2 1 3
0 3 2
0 1 1
10 7
1 2 2
3 3 3
0 1 3
0 2 2
3 1 3
1 1 2
2 2 0
3 2 3
3 0 2
0 0 2
10 2
2 2 0
1 0 1
3 0 3
0 1 1
0 1 3
3 3 2
0 3 2
0 3 0
1 1 0
3 3 3
10 3
1 2 2
1 1 2
2 2 2
1 1 0
0 0 0
0 1 1
1 1 1
0 2 2
0 0 1
2 2 1
10 2
2 1 0
2 0 2
1 1 2
0 1 0
0 1 2
1 0 1
1 1 0
0 2 2
0 2 0
2 2 1
10 7
2 2 1
1 2 2
2 1 1
1 2 0
1 1 1
1 0 0
0 2 2
0 2 1
1 0 1
0 1 1
10 8
1 1 1
0 2 0
2 0 1
2 2 2
1 0 0
0 1 2
1 1 0
1 0 2
1 1 2
2 2 0
10 9
2 1 2
1 1 3
1 3 3
2 1 3
1 0 3
0 2 1
1 1 0
1 3 2
3 1 3
1 2 1
10 9
0 2 0
0 1 2
2 3 2
2 2 0
0 2 3
2 1 2
2 1 0
1 3 0
0 0 3
2 0 3
10 3
1 3 1
1 2 2
0 3 3
3 3 1
3 2 1
2 3 0
2 2 1
3 0 3
1 0 3
0 1 3
10 2
0 2 1
0 0 0
3 1 3
2 0 2
3 0 2
0 2 0
2 3 3
1 2 1
2 1 1
1 1 2
10 5
3 1 0
1 3 1
3 3 1
0 2 3
0 3 2
2 2 0
1 3 3
2 3 0
2 1 3
2 1 1
10 2
0 0 1
3 0 3
3 0 2
1 0 2
2 3 3
2 2 1
2 3 0
3 0 1
0 1 2
1 0 3
10 6
0 1 2
0 1 1
1 1 0
2 1 0
0 0 2
1 0 0
2 0 0
1 2 0
1 2 2
1 0 2
10 6
0 0 2
1 0 1
0 0 1
2 1 2
0 1 2
2 2 1
1 2 0
2 0 2
0 2 0
2 0 1
10 2
1 1 1
1 3 0
0 0 2
3 3 0
2 1 1
0 3 3
2 0 2
2 2 2
2 1 0
0 1 2
10 9
1 0 2
2 0 2
2 2 1
2 0 0
1 0 0
0 2 2
2 1 2
0 0 1
1 2 1
1 1 2
10 3
0 2 0
1 2 2
0 1 0
2 1 2
2 0 2
0 1 1
2 2 1
1 0 1
1 2 0
1 1 0
10 4
3 3 0
0 0 1
1 2 2
3 2 1
2 0 2
3 0 3
0 1 3
0 0 2
0 2 0
0 3 2
10 3
1 1 0
0 2 0
2 0 2
1 2 2
2 1 2
0 1 1
2 1 1
2 2 2
0 0 2
0 0 1
10 2
0 0 1
2 2 0
0 2 1
2 1 1
1 2 2
0 2 0
1 2 1
1 0 0
1 0 1
2 2 1
10 7
2 2 3
2 1 1
0 2 0
3 0 1
3 0 0
3 2 3
1 2 3
2 2 0
1 1 1
1 2 0
10 7
0 1 1
1 0 2
2 2 1
2 0 0
0 0 0
0 2 2
2 1 0
1 0 0
0 1 2
1 1 1
10 5
0 2 0
0 3 2
2 0 2
0 0 0
3 1 2
0 3 1
3 3 3
0 1 1
2 1 2
2 3 2
10 2
3 1 3
2 1 3
0 0 0
3 0 0
0 1 1
2 2 3
3 2 0
2 0 3
1 3 0
2 3 0
10 8
0 0 0
1 0 2
1 1 2
0 2 2
0 2 1
2 1 0
1 0 1
1 1 0
1 0 0
1 2 0
10 5
1 0 2
2 2 2
2 1 1
0 1 1
2 0 0
1 2 2
2 2 0
1 1 1
2 2 1
1 2 1
10 9
1 1 3
3 0 3
2 3 0
2 0 3
0 1 1
2 2 3
2 3 1
1 2 2
1 1 2
3 0 2
10 7
1 3 0
3 0 1
0 3 1
0 1 0
2 1 1
0 2 3
1 2 0
1 3 2
2 0 3
2 1 3
10 8
2 2 2
0 2 1
2 2 0
1 1 2
2 0 2
0 2 2
0 0 2
0 2 0
1 2 2
1 1 0
10 3
1 2 3
3 3 2
0 0 3
0 2 1
2 3 2
1 3 0
0 0 0
1 2 2
0 1 1
0 0 1
10 6
2 0 0
2 0 1
2 1 0
2 2 1
0 2 2
1 0 2
2 0 2
0 0 0
1 2 1
1 1 2
10 2
0 1 0
1 0 0
2 1 2
0 2 1
0 0 1
1 3 0
2 0 0
2 2 0
3 1 1
0 0 3
10 3
0 1 2
1 2 1
0 0 1
1 0 2
0 2 2
0 0 0
2 1 2
0 2 1
0 1 1
1 1 1
10 6
1 2 1
1 3 1
2 2 1
1 1 0
3 1 2
0 1 2
2 2 0
3 3 1
3 1 0
0 3 2
10 2
1 0 0
2 2 2
1 0 1
0 0 0
0 1 0
2 2 1
1 1 1
2 1 1
1 2 0
0 0 1
10 4
2 3 2
0 0 0
2 1 3
0 1 1
2 2 3
1 3 0
0 2 3
1 1 3
2 0 3
0 2 0
10 8
2 2 0
2 2 2
0 0 2
1 2 0
2 1 2
1 1 2
2 2 1
1 1 0
2 0 2
0 0 1
10 2
0 1 2
2 1 1
2 0 0
2 1 0
0 2 0
0 1 0
1 1 2
0 2 1
1 2 1
0 0 0
10 3
1 0 0
0 1 2
3 3 3
0 0 1
3 2 1
1 2 3
1 3 3
0 0 0
0 1 3
0 3 1
10 8
0 2 1
2 0 1
1 0 1
2 0 0
2 1 0
0 1 1
2 1 1
1 2 2
0 0 2
1 2 0
10 9
0 2 2
0 0 1
2 1 2
0 1 0
1 2 1
2 0 0
0 0 0
1 1 0
2 2 2
1 2 2
10 4
2 1 2
1 0 1
0 1 1
2 1 1
0 2 1
1 1 0
2 2 1
2 0 2
0 0 0
0 1 2
10 4
1 0 0
1 0 3
0 1 1
0 2 2
0 3 2
2 1 1
2 3 2
2 2 1
3 0 3
3 2 0
10 6
0 2 2
2 2 0
0 1 1
1 0 2
0 0 2
1 1 1
2 0 2
2 1 1
1 2 2
2 0 1
10 2
1 0 1
1 3 0
1 2 1
2 3 2
1 1 2
2 1 0
3 0 0
2 2 1
3 1 0
2 3 1
10 2
1 1 2
2 0 0
0 0 0
0 0 2
2 2 2
2 0 1
1 2 0
0 0 1
0 2 1
1 1 0
10 7
0 0 1
2 0 2
1 2 2
1 2 1
0 2 2
0 2 1
1 1 1
0 1 1
2 2 0
2 2 1
10 4
3 0 0
1 3 3
1 2 3
2 0 0
0 2 0
1 1 0
1 2 1
2 2 0
2 2 1
0 1 0
10 4
2 1 1
0 2 3
3 3 1
0 1 3
2 3 1
1 0 0
2 2 3
2 3 3
3 0 2
2 0 3
10 5
0 0 0
2 2 1
1 0 1
2 2 2
2 1 2
1 0 2
0 2 0
1 1 2
0 2 2
0 0 2
10 7
0 0 2
2 0 1
0 2 1
2 0 0
0 1 2
1 0 2
0 1 1
1 1 0
2 1 1
2 2 2
10 3
1 2 1
1 2 2
2 2 2
2 1 1
2 0 0
0 1 0
0 0 1
0 2 2
2 1 2
1 1 2
10 4
1 1 0
0 0 1
2 1 2
1 1 2
1 0 1
0 2 0
2 2 1
2 2 2
2 2 0
1 1 1
10 7
1 2 1
2 3 3
2 2 0
0 0 0
2 0 0
3 0 2
2 3 0
0 3 1
0 1 2
0 0 1
10 8
0 0 0
0 2 1
2 0 0
0 0 1
2 1 1
0 0 2
0 2 2
1 0 2
1 0 1
1 0 0
10 6
0 2 0
0 1 2
2 2 0
1 2 2
1 0 0
0 2 2
2 0 2
0 0 2
2 2 1
1 1 2
10 6
1 0 3
3 0 1
0 2 1
2 0 2
3 0 0
1 2 1
2 2 0
2 1 3
1 3 3
2 0 3
10 4
1 0 0
0 2 2
0 0 1
1 2 1
1 2 0
1 1 1
2 2 2
0 0 0
1 0 1
2 2 1
10 7
0 0 0
2 2 0
1 1 1
2 1 1
2 1 2
1 2 1
1 0 1
1 0 0
0 2 0
1 2 2
10 3
1 2 3
2 3 1
1 1 0
0 3 0
2 1 0
2 0 0
3 2 1
2 1 2
3 0 3
0 2 2
10 9
1 2 1
1 1 2
2 1 0
1 2 3
0 3 1
1 1 1
1 0 0
2 3 2
1 3 0
1 1 3
10 5
0 2 3
1 3 1
2 3 2
1 0 3
3 1 2
1 0 2
3 2 3
1 2 1
2 0 0
0 1 3
10 4
2 1 2
0 1 2
1 3 1
3 1 2
1 0 1
1 1 0
2 0 0
1 0 2
2 0 3
2 2 3
10 6
0 2 1
1 2 3
1 1 3
3 3 3
1 1 1
3 1 0
2 2 3
1 3 2
1 0 0
0 1 1
10 8
3 2 2
3 0 3
0 2 2
0 3 1
2 3 0
0 2 1
2 1 3
0 3 2
2 2 3
2 2 2
10 9
0 3 3
0 1 3
0 3 1
2 0 3
2 2 1
3 2 0
0 0 0
0 2 0
3 2 3
0 0 1
10 2
0 1 1
2 1 0
0 2 1
1 2 0
1 0 2
0 1 2
1 1 2
2 1 2
0 2 2
0 2 0
10 3
2 0 0
0 1 0
1 2 3
3 1 2
2 1 2
0 1 3
2 1 3
0 3 0
1 2 0
3 0 0
10 8
3 2 3
3 2 2
2 0 1
0 3 1
0 1 2
1 1 1
1 2 3
3 0 0
2 3 1
3 3 0
10 4
2 1 2
2 2 0
2 2 1
0 1 1
1 2 1
0 0 2
2 1 0
0 2 0
2 2 2
2 0 0
10 7
2 0 0
2 3 3
1 1 2
0 3 0
3 2 2
0 3 2
1 1 1
1 2 2
1 1 3
0 1 3
10 4
0 0 2
2 0 3
3 2 3
2 3 0
1 1 2
2 0 1
3 0 3
2 2 0
0 1 0
0 1 3
10 7
2 1 0
0 0 1
2 0 1
0 1 1
0 1 0
2 0 2
0 1 2
1 2 1
0 0 0
0 2 2
10 2
0 1 1
3 2 3
1 3 1
2 0 1
3 2 0
1 1 2
2 3 3
0 0 1
3 2 2
3 1 3
10 4
2 0 0
1 0 1
0 2 3
3 1 0
3 1 2
1 3 0
2 3 0
1 0 3
0 2 1
0 3 3
10 5
1 0 2
1 0 0
0 0 1
2 1 1
2 2 2
1 1 1
0 0 2
1 1 2
1 2 0
0 1 1
10 3
2 0 0
1 2 2
2 0 1
0 1 1
0 0 2
0 0 0
1 0 0
1 1 2
0 2 1
2 0 2
10 4
2 1 1
1 2 1
2 1 2
0 1 2
0 1 1
0 0 1
0 1 0
1 1 0
2 2 1
2 0 0
10 2
2 1 3
3 1 1
3 2 1
3 1 0
0 0 1
0 2 3
0 2 1
2 0 1
0 3 0
0 0 0
10 8
0 1 0
0 0 2
2 1 2
2 2 0
1 2 1
1 0 2
1 0 1
0 0 1
0 2 0
2 0 0
10 9
0 0 0
0 2 1
2 0 1
2 1 1
0 1 2
1 0 0
1 0 2
2 2 2
1 0 1
1 2 2
10 2
2 1 2
1 0 0
2 3 0
2 2 3
0 1 2
0 2 0
3 3 0
1 2 0
0 2 1
1 0 1
10 8
3 3 2
2 2 0
0 2 2
3 0 3
3 1 2
0 3 0
0 1 0
1 3 1
2 3 1
3 0 2
10 7
2 3 1
3 2 1
1 3 2
2 0 0
2 1 1
3 3 2
0 0 3
3 2 0
2 3 2
1 0 0
10 2
2 0 3
0 3 3
0 0 3
2 2 3
1 3 1
3 3 1
1 1 0
3 3 3
3 3 0
2 2 1
10 3
1 2 0
1 1 1
2 2 0
1 2 2
1 0 0
0 1 2
1 1 2
1 0 1
2 0 0
2 1 0
10 6
2 1 1
0 0 2
1 0 2
2 1 0
2 2 1
2 1 2
2 0 2
2 2 2
2 0 0
1 2 0
10 9
0 1 2
2 3 2
1 3 3
0 1 3
3 3 2
2 1 2
3 2 3
0 3 3
3 2 0
3 0 3
10 3
3 2 2
3 2 3
2 1 3
0 3 1
0 3 0
2 2 1
1 0 1
2 3 1
3 0 0
2 0 0
10 3
2 0 0
3 3 3
1 0 1
3 0 3
2 0 2
3 1 3
0 2 2
0 2 3
1 2 1
2 1 2
10 8
0 2 2
0 0 0
2 0 0
1 1 0
0 1 1
2 2 0
1 1 2
2 2 1
2 2 2
2 1 1
10 2
1 2 3
3 0 1
3 1 0
2 3 0
1 3 0
1 1 2
3 2 2
2 0 3
2 3 2
3 3 1
10 6
2 2 1
2 0 2
2 2 2
2 1 1
0 1 0
0 2 2
1 0 1
0 0 0
1 2 1
1 1 1
10 3
1 0 1
1 1 2
2 0 0
0 2 0
2 1 0
2 0 2
1 1 0
0 1 2
0 2 1
0 0 2
10 8
2 0 2
2 1 2
0 2 2
1 0 0
1 0 1
0 0 1
1 2 2
0 0 2
2 0 1
2 1 0
10 9
3 0 0
1 1 1
3 1 2
2 3 1
2 2 0
0 2 0
2 3 0
1 2 1
1 1 2
2 1 0
10 2
1 2 2
1 1 0
0 2 0
0 0 0
2 1 1
1 0 0
0 1 1
2 0 0
1 2 1
0 2 2
10 7
1 2 0
1 0 0
1 2 1
1 1 1
1 0 2
0 1 0
2 1 1
2 0 1
0 0 1
1 1 0
10 8
2 1 0
0 0 0
1 2 2
2 3 3
0 0 3
1 0 1
3 1 3
0 3 2
3 2 1
1 2 0
10 4
1 1 0
3 3 3
2 0 3
1 1 3
2 1 3
0 3 0
0 3 1
3 1 3
2 2 2
1 0 0
10 9
3 0 1
3 3 1
2 2 3
2 3 0
1 2 2
0 2 1
2 3 2
2 1 2
1 0 0
0 1 2
10 9
1 1 2
1 2 1
0 2 1
1 0 2
0 1 2
0 2 2
2 0 0
2 2 2
1 1 0
0 1 0
10 9
1 0 2
2 2 2
2 0 0
2 0 1
0 1 2
0 1 0
1 0 0
2 0 2
1 1 1
0 0 1
10 3
1 2 3
2 3 2
1 2 1
1 1 1
2 1 0
2 2 3
1 3 0
3 1 3
2 3 3
3 3 0
10 2
0 2 1
2 3 1
1 3 1
0 3 0
2 3 3
1 0 1
1 3 0
2 0 1
0 2 3
3 0 1
10 5
2 0 1
2 0 0
0 0 1
1 0 2
2 2 1
1 1 0
2 1 1
1 1 1
2 2 2
1 1 2
10 5
2 1 0
0 2 1
1 2 2
2 0 0
0 2 2
0 1 0
2 0 2
2 2 1
1 0 1
1 1 0
10 9
2 0 0
0 1 0
0 1 2
0 2 1
1 1 1
2 0 1
1 2 1
2 1 0
1 0 2
1 2 0
10 8
0 2 3
3 0 3
0 2 1
0 3 1
1 1 1
1 2 3
2 1 2
2 3 2
2 2 1
1 2 0
10 6
2 1 2
0 0 0
3 2 0
3 1 1
2 1 1
3 2 2
3 3 2
1 1 3
0 1 0
0 0 2
10 2
1 2 1
2 1 1
2 0 0
1 2 2
2 2 2
1 1 2
0 1 0
1 1 0
1 0 1
0 1 1
10 4
0 2 1
2 0 1
2 1 1
2 1 2
1 2 2
1 2 1
1 2 0
0 0 0
0 1 0
2 2 1
10 7
1 1 2
3 0 3
2 2 0
1 3 0
2 2 1
3 3 2
0 1 3
3 0 0
3 2 0
0 2 1
10 6
0 2 2
1 1 1
1 2 1
0 2 3
0 3 2
2 0 3
3 3 3
0 2 0
3 3 0
0 1 2
10 9
2 0 1
1 0 1
1 1 1
1 1 0
2 1 2
0 2 0
0 2 1
0 1 0
2 0 0
2 2 2
10 8
2 0 1
3 0 2
0 0 0
2 0 3
3 3 2
3 0 0
3 3 3
2 2 0
2 0 2
1 1 2
10 8
2 2 1
3 0 0
3 0 2
0 2 1
0 3 3
0 0 1
1 0 0
1 0 3
3 2 1
2 3 0
10 9
2 1 2
1 2 0
1 0 1
2 1 1
2 2 2
0 0 2
1 2 1
1 1 1
1 1 0
1 0 2
10 2
1 0 2
0 0 2
1 1 2
2 1 0
1 1 0
1 2 0
1 2 1
2 0 2
2 0 0
1 0 1
10 8
1 0 2
1 2 0
3 0 0
1 3 3
3 1 3
1 3 1
2 2 2
2 2 0
0 0 2
3 0 3
10 4
0 1 1
2 0 2
0 0 1
0 2 1
2 2 1
1 0 0
0 1 0
2 1 0
1 0 2
2 1 1
10 3
2 0 3
2 2 2
0 1 1
2 3 0
3 3 3
0 0 3
3 3 2
3 0 1
0 0 0
2 0 0
10 2
2 1 1
2 0 1
0 0 2
0 2 2
2 2 2
0 0 0
1 0 2
1 0 1
1 1 1
2 2 0
10 7
0 0 2
1 1 2
2 1 2
0 1 1
0 0 0
0 2 0
1 2 0
0 1 0
0 0 1
1 1 0
10 8
1 0 1
2 0 0
0 1 2
2 1 1
2 0 2
0 2 1
1 1 0
1 1 1
2 2 0
1 2 2
10 6
1 0 1
0 1 0
2 1 2
1 1 0
1 2 2
0 0 2
2 0 1
1 0 2
0 2 2
0 0 0
10 5
2 2 0
0 2 0
2 1 1
0 1 2
2 0 1
1 1 2
2 2 2
1 2 1
1 0 0
0 1 1
10 3
1 2 0
2 3 1
1 2 2
0 1 0
0 2 0
3 3 3
0 0 3
3 0 1
1 3 3
0 1 2
10 8
0 2 1
2 0 2
0 1 1
1 0 0
2 0 1
0 1 0
1 0 1
2 1 0
1 1 1
0 0 2
10 7
2 3 3
0 1 1
0 0 1
1 1 1
1 0 1
3 2 2
0 3 2
3 2 1
1 0 3
1 1 0
10 4
0 1 2
2 2 2
0 2 0
1 2 3
1 3 0
3 0 3
3 2 0
1 1 2
0 2 3
1 3 1
10 3
0 1 0
2 1 0
0 2 0
0 0 2
2 2 0
2 1 1
1 2 1
0 1 2
1 1 2
2 0 0
10 6
0 1 2
1 1 0
0 2 1
1 0 0
0 1 1
0 0 2
1 2 1
1 2 2
2 0 0
1 1 2
10 6
1 1 1
0 2 2
1 1 0
1 0 1
1 0 2
2 1 2
1 2 2
2 2 1
1 2 0
0 2 1
10 8
2 1 0
1 2 2
0 1 1
0 2 2
2 1 1
0 1 2
2 2 1
0 2 1
1 2 0
2 0 1
10 2
2 2 0
0 1 0
0 0 0
0 0 2
0 2 0
2 0 0
1 0 1
2 1 2
1 0 2
1 2 2
10 2
1 0 2
2 2 0
1 2 2
2 1 0
2 0 0
0 2 1
0 0 0
0 2 0
0 0 2
0 1 0
10 8
2 2 0
1 2 0
2 0 0
1 2 1
0 1 0
0 1 2
2 0 1
2 1 0
1 1 1
0 2 0
10 4
1 2 2
2 2 1
1 1 0
1 0 0
2 0 1
2 2 0
0 1 2
1 2 1
2 0 0
0 2 1
10 4
1 1 0
0 2 1
2 0 2
1 0 2
0 1 2
2 0 1
0 1 1
0 1 0
1 1 2
2 0 0
10 8
2 2 3
2 1 0
2 3 0
2 0 3
0 3 3
3 3 1
1 1 3
1 2 3
0 1 0
0 3 1
10 7
3 0 0
0 1 1
3 2 1
3 2 3
2 1 1
3 3 2
2 1 3
2 0 2
0 2 2
1 0 3
10 5
1 0 0
1 0 2
0 0 2
0 1 0
2 1 1
2 0 0
2 2 0
2 1 2
2 2 2
0 2 1
10 7
3 0 1
1 3 1
3 3 1
0 0 0
2 2 1
3 3 2
0 2 2
1 1 1
2 2 0
0 1 3
10 9
1 0 2
1 2 1
2 1 0
0 1 0
2 1 1
1 2 0
0 1 2
2 0 0
1 2 2
1 1 0
10 3
0 3 0
2 1 2
0 0 1
3 2 3
1 1 1
1 3 1
2 2 2
2 1 1
0 3 2
1 3 2
10 6
1 1 0
1 1 1
0 1 1
0 0 0
1 0 0
0 2 2
2 1 1
2 2 1
0 1 2
1 1 2
10 7
1 1 1
1 1 3
0 0 1
2 2 0
2 0 3
1 3 2
3 1 2
1 3 0
1 0 0
3 0 3
10 9
2 2 0
0 0 0
3 0 0
1 0 3
0 1 3
3 1 2
2 3 2
0 3 2
2 3 3
2 3 0
10 3
1 1 2
2 0 1
2 1 0
0 0 1
0 1 1
1 2 1
0 2 0
0 1 0
0 0 0
2 2 1
10 5
2 1 2
1 2 1
0 0 1
2 2 2
1 1 1
1 0 2
2 0 1
2 2 1
1 2 0
0 1 0
10 2
1 1 2
2 0 0
1 1 1
2 1 1
1 1 0
0 0 1
2 0 2
2 2 2
1 2 0
0 1 0
10 8
0 1 1
0 1 3
3 1 2
1 1 0
2 3 3
1 1 1
1 0 2
0 1 2
1 3 3
3 0 3
10 9
3 2 3
3 1 3
2 1 0
1 1 0
0 1 2
2 2 3
0 2 1
0 1 0
0 1 3
0 0 0
10 2
1 3 3
1 1 0
1 2 0
3 1 2
0 1 1
0 0 3
3 1 3
0 0 1
3 2 3
1 1 1
10 7
1 2 0
2 1 3
1 1 3
1 0 1
1 3 0
1 1 0
3 2 3
0 2 1
1 3 3
1 1 1
10 7
1 2 0
2 2 0
3 0 1
3 2 0
3 0 2
3 2 1
2 2 3
3 0 3
2 1 0
2 0 0
10 3
1 0 0
2 2 0
1 2 2
2 2 1
0 1 2
1 0 1
2 1 2
0 0 2
1 1 0
2 0 1
10 8
0 2 1
2 1 1
1 2 1
0 0 1
1 1 1
1 2 0
0 0 0
2 0 1
0 1 2
2 1 2
10 4
1 0 0
3 1 2
0 2 0
2 3 1
2 1 1
1 3 0
0 1 3
1 0 1
0 0 3
3 3 1
10 5
1 1 0
0 1 1
0 2 0
2 2 0
1 1 3
3 2 0
2 2 3
1 0 0
2 1 2
2 3 1
10 7
1 3 0
3 3 2
3 2 1
0 1 1
0 0 3
1 3 1
0 1 3
2 3 3
3 3 1
2 2 2
10 4
2 2 2
1 1 1
2 1 0
2 0 2
1 2 0
0 1 0
0 1 1
1 0 1
1 1 0
0 1 2
10 3
0 0 1
1 0 2
1 0 0
1 1 2
2 2 2
2 1 2
2 1 1
1 2 0
0 1 1
2 0 0
10 7
2 3 1
1 0 1
1 1 0
2 0 0
0 3 2
3 0 2
3 0 1
1 0 0
0 3 0
1 1 3
10 9
3 0 3
1 0 3
3 1 1
3 1 2
3 2 0
3 2 2
3 2 3
1 3 3
1 0 0
0 0 2
10 6
1 0 2
3 3 3
3 2 2
2 3 3
1 1 3
1 2 2
3 3 2
2 1 1
2 0 1
0 2 0
10 4
1 1 2
1 0 0
2 1 0
0 0 1
2 2 2
1 2 0
0 1 0
0 0 0
1 2 1
1 1 1
10 8
2 1 1
0 0 2
2 2 2
1 2 1
2 1 0
0 1 2
0 1 0
2 0 1
0 2 0
1 2 2
10 9
0 2 0
1 1 2
0 1 1
2 0 1
0 0 1
1 0 2
0 2 2
1 2 1
2 1 0
0 1 0
10 4
1 0 0
0 0 1
0 0 0
0 1 1
0 2 2
1 1 0
2 2 0
2 0 0
1 0 1
1 2 0
10 4
0 3 0
1 3 3
0 2 3
0 1 0
1 2 1
2 2 3
1 3 1
3 2 3
1 1 0
2 2 1
10 6
1 1 0
2 3 2
1 0 1
0 2 3
3 2 1
2 2 3
1 2 2
2 0 1
2 2 1
0 3 1
10 6
0 0 1
0 2 1
0 0 2
0 2 0
0 0 0
1 1 0
2 0 1
1 0 1
1 2 1
2 0 2
10 9
1 2 1
3 3 0
0 2 3
2 1 3
1 1 2
2 2 2
1 1 3
0 1 0
1 2 2
3 0 3
10 5
0 2 3
2 3 2
1 2 0
0 0 0
2 1 0
2 0 1
1 2 1
3 2 0
1 3 3
0 2 2
10 2
1 1 0
1 0 1
1 1 2
2 1 2
0 2 2
2 2 2
0 2 1
1 0 0
1 2 1
1 0 2
10 3
0 0 0
1 2 1
1 1 2
1 2 0
0 1 0
1 0 0
2 1 0
1 1 0
0 2 2
2 1 1
10 7
3 0 0
1 0 3
0 3 1
2 2 2
2 3 2
2 3 0
0 2 0
1 0 0
3 3 1
0 0 2
10 5
1 2 2
0 2 1
0 1 1
0 2 2
1 1 1
1 0 2
1 0 0
0 1 2
2 1 0
1 2 0
10 4
1 2 0
0 1 0
0 1 2
2 2 1
0 2 2
2 2 0
1 1 2
2 2 2
1 0 2
2 0 1
10 9
3 1 0
2 0 2
1 0 1
1 3 2
3 3 2
3 3 1
2 1 3
3 0 2
2 3 3
0 0 0
10 7
2 3 2
1 0 1
2 2 1
2 0 3
2 0 2
1 1 2
0 1 1
3 3 1
3 2 2
0 3 2
10 2
0 0 1
0 1 0
1 0 0
0 0 0
0 2 1
0 0 2
0 2 0
2 0 0
1 2 0
1 2 2
10 3
2 0 0
2 1 1
1 0 0
0 0 0
0 0 2
2 0 1
0 0 1
0 2 0
2 2 1
2 2 2
10 7
1 0 3
1 2 1
1 3 2
0 3 1
3 3 0
0 1 3
2 2 2
2 3 0
0 1 1
2 1 2
10 6
2 2 0
3 1 0
2 0 2
0 1 0
0 2 0
1 1 0
2 1 2
1 1 3
3 0 3
2 1 0
10 5
2 1 1
0 0 0
2 0 1
2 0 3
0 1 2
2 0 2
3 1 1
2 1 3
0 1 0
1 1 2
10 8
0 3 1
0 1 3
2 3 1
1 3 1
1 0 1
3 3 0
3 2 2
3 1 2
3 1 0
2 0 2
10 9
3 1 1
3 2 0
2 0 0
2 0 1
0 0 1
2 2 1
0 2 3
0 0 0
3 0 2
1 1 0
10 5
1 0 0
0 2 2
1 1 2
2 0 0
1 1 0
0 0 1
0 0 2
0 1 0
1 1 1
2 1 0
10 8
0 0 1
2 1 2
1 1 2
0 1 1
2 1 1
0 1 2
1 1 0
0 0 0
1 0 1
0 2 1
10 8
2 0 1
1 0 2
2 0 2
1 0 0
2 2 2
0 0 0
2 1 2
0 2 0
1 1 1
1 2 2
10 8
1 0 1
0 2 1
0 2 0
1 2 0
1 1 2
0 1 0
2 1 0
1 1 1
2 0 1
2 2 0
10 6
0 1 0
0 2 0
0 1 2
1 1 2
0 1 1
2 0 2
1 2 1
2 0 1
0 0 0
2 2 2
10 4
0 2 2
3 0 0
2 1 3
1 2 1
0 3 3
2 0 1
3 1 3
1 2 0
3 0 1
1 0 2
10 2
1 1 1
1 1 0
2 0 0
1 0 0
2 2 2
2 0 1
1 2 0
2 1 1
1 1 2
2 2 1
10 4
0 1 2
2 1 2
2 0 0
0 0 0
0 0 1
1 0 0
1 2 1
1 2 0
1 0 2
0 2 2
10 7
1 2 1
1 0 1
2 2 2
2 0 2
0 1 0
1 0 2
0 2 0
0 2 2
2 1 0
2 2 0
10 2
2 2 2
1 0 1
2 0 0
2 1 0
0 0 2
1 0 0
1 2 0
0 1 0
0 1 1
2 2 0
10 7
0 1 1
2 1 1
1 1 1
2 2 2
0 0 0
1 0 0
0 1 0
1 0 1
0 2 0
1 2 0
10 6
2 2 2
3 1 3
2 1 2
2 1 3
3 0 3
2 3 0
3 0 2
2 0 1
1 0 0
0 3 2
10 3
1 2 2
2 1 0
0 1 2
2 0 0
2 1 2
0 2 1
1 0 2
1 1 0
1 1 2
0 2 2
10 3
0 0 2
2 0 1
0 1 0
2 2 0
0 2 0
1 1 1
1 1 2
2 2 2
1 2 0
2 1 1
10 8
1 2 1
0 1 0
0 2 2
1 2 0
0 1 1
2 2 0
1 2 2
0 0 1
1 0 2
1 0 1
10 2
1 0 2
1 2 1
0 1 2
2 2 2
1 2 2
0 0 1
1 1 0
0 1 1
2 1 0
2 2 0
10 4
1 3 3
3 1 2
3 0 1
3 2 3
3 0 3
1 2 3
2 3 2
3 3 1
2 2 0
2 3 3
10 7
1 2 0
2 0 2
1 2 2
2 1 1
2 1 2
1 1 1
2 2 1
1 1 0
0 0 2
2 0 1
10 8
2 1 1
1 1 0
0 0 0
1 0 1
2 2 1
0 2 0
0 2 1
1 0 2
1 1 1
1 2 2
10 3
2 0 2
3 3 1
1 1 3
2 2 3
1 3 2
0 3 2
2 3 0
1 3 1
0 0 3
3 0 1
10 4
0 1 0
0 1 2
0 0 2
1 0 2
0 0 0
2 0 0
1 2 1
0 1 1
2 0 2
1 1 0
10 4
0 0 3
2 2 0
1 2 3
2 1 1
1 0 3
1 3 0
1 1 3
3 0 2
1 0 1
0 3 2
10 5
0 0 2
2 1 1
1 1 1
2 2 1
2 2 2
2 0 1
2 0 2
2 1 2
2 0 0
0 0 1
10 9
0 0 1
0 2 2
1 0 2
2 1 2
0 2 1
1 0 0
2 0 0
1 1 1
1 2 2
0 2 0
10 6
2 1 0
1 1 0
1 0 1
0 1 0
1 0 2
0 2 1
0 0 0
0 0 2
2 2 0
2 0 0
10 2
3 1 2
1 1 2
2 0 1
0 3 3
2 1 2
0 3 0
2 2 0
3 0 0
1 1 1
2 3 0
10 8
2 1 1
1 2 0
2 0 1
0 2 1
1 1 2
2 1 0
1 3 3
1 1 3
1 0 3
1 0 0
10 2
1 2 1
2 0 1
2 0 0
2 2 1
2 2 0
0 0 1
1 2 2
2 0 2
1 0 0
0 1 2
10 4
1 0 2
1 2 2
0 1 0
2 1 2
0 0 0
2 0 0
2 0 2
0 2 2
2 2 1
1 1 1
10 9
3 2 1
3 0 3
0 3 1
3 1 1
1 2 1
1 0 3
3 2 3
1 2 2
1 3 3
0 1 1
10 4
3 3 2
0 2 1
2 0 0
1 3 3
3 2 0
2 3 1
1 1 2
2 2 3
0 1 3
1 0 3
10 2
2 0 0
0 1 0
2 2 0
1 2 1
1 1 0
2 1 2
2 0 2
1 0 0
0 0 1
1 0 2
10 3
0 1 0
2 1 0
0 1 2
1 1 2
2 1 1
2 0 1
2 2 1
2 2 0
2 1 2
1 0 2
10 9
1 1 0
2 2 2
0 0 2
0 2 2
2 1 0
2 2 0
1 0 1
1 2 1
1 1 1
0 1 0
10 8
2 2 1
3 3 2
0 2 3
3 0 3
0 0 2
1 0 1
2 0 3
2 3 3
3 1 1
0 2 1
10 7
1 0 0
0 3 0
1 0 2
1 1 3
3 1 0
1 1 0
3 2 3
0 1 0
3 3 2
1 2 3
10 7
1 2 1
0 2 1
0 1 0
2 0 0
1 1 0
2 0 2
2 0 1
0 2 0
1 0 0
0 1 2
10 5
3 1 0
3 2 1
0 3 0
1 1 3
1 2 0
0 0 2
0 1 2
3 0 1
2 0 0
2 3 1
10 7
0 2 0
1 1 0
2 2 0
1 1 1
2 1 0
2 1 1
0 1 1
0 0 0
1 0 1
1 2 1
10 8
1 2 0
2 1 2
0 2 0
0 0 1
2 0 1
0 1 1
2 0 0
1 0 1
1 0 2
1 0 0
10 9
1 1 0
2 2 0
1 0 0
2 2 1
2 0 2
1 0 2
0 1 1
0 0 1
0 1 2
1 1 1
10 8
0 1 3
2 0 2
1 0 0
2 3 0
0 0 1
3 2 0
0 2 1
3 2 1
3 2 3
1 2 1
10 2
1 3 0
1 1 1
0 1 3
3 2 1
2 2 2
2 2 0
3 3 1
3 0 2
1 2 0
1 0 3
10 7
1 1 0
2 2 1
2 1 1
1 2 2
1 2 0
0 2 2
2 2 0
1 1 2
0 2 0
1 1 1
10 9
1 0 1
2 0 0
0 2 2
0 1 0
1 2 2
0 0 1
0 0 0
2 2 1
1 1 1
1 0 2
10 4
2 2 1
1 0 1
2 1 2
1 2 0
1 2 2
0 1 2
0 1 0
1 0 2
2 0 0
1 1 0
10 2
2 0 1
2 1 1
0 1 0
0 0 0
3 3 0
3 1 1
2 1 0
1 1 1
1 2 3
0 2 2
10 6
2 1 2
0 0 2
2 1 1
1 0 1
0 2 2
1 1 2
0 1 0
1 2 2
1 1 1
2 2 0
10 9
1 1 1
1 1 2
1 0 2
2 2 1
0 1 2
1 2 2
2 2 0
2 0 1
0 1 0
2 0 2
10 3
2 1 1
3 1 1
2 2 1
3 1 2
0 0 1
2 3 1
2 0 1
2 2 0
3 0 3
3 1 0
10 2
1 0 0
1 2 2
2 2 1
0 0 0
0 0 2
0 2 2
0 2 0
2 1 2
0 2 1
2 1 1
10 6
0 1 3
2 1 1
1 2 2
2 0 1
0 1 1
3 2 0
2 0 0
0 3 3
1 3 0
3 3 2
10 7
0 0 1
0 3 1
1 2 2
2 1 3
2 1 0
3 0 0
0 1 0
2 1 1
2 0 3
2 0 0
10 7
2 1 1
1 0 1
1 2 3
2 0 1
1 3 1
3 3 1
3 1 1
3 3 0
2 1 0
3 0 1
10 6
0 1 1
2 0 2
0 0 2
2 1 0
1 0 2
2 0 0
2 2 0
1 0 0
2 2 1
2 1 2
10 7
1 0 2
1 0 1
1 1 0
1 2 0
2 0 1
0 1 1
0 0 1
0 2 2
0 2 0
0 1 2
10 4
1 3 0
2 1 1
0 3 3
3 0 0
3 1 2
2 0 2
0 2 3
0 2 1
0 2 2
3 0 3
10 5
0 0 1
1 2 1
2 1 0
0 2 0
0 0 2
1 0 0
1 1 2
0 1 2
1 2 2
2 1 1
10 8
1 2 0
0 0 0
0 1 3
3 0 0
2 0 3
1 3 0
0 2 3
1 2 2
1 1 3
0 0 2
10 8
2 2 1
2 2 2
1 2 1
0 1 2
1 1 2
1 1 1
1 0 0
2 2 0
1 2 0
2 0 2
10 5
3 2 2
0 1 2
0 2 1
0 0 3
0 1 0
1 3 3
1 0 0
0 2 3
3 0 3
2 2 3
10 6
1 2 1
2 2 0
0 0 1
1 2 2
2 1 2
0 2 2
0 1 0
2 0 0
1 1 0
0 0 0
10 3
0 2 0
1 0 2
1 1 1
2 1 2
1 2 2
2 0 0
2 2 2
0 0 0
0 1 1
1 0 1
10 4
2 0 2
1 3 2
1 1 0
3 1 0
2 2 0
3 1 3
3 0 2
1 1 3
3 3 2
2 1 0
10 7
1 1 2
0 2 0
2 0 2
1 0 2
2 0 0
1 0 0
0 1 2
0 1 1
2 1 2
0 0 2
10 6
0 2 2
1 2 0
0 2 1
0 0 2
0 0 1
2 2 2
1 2 2
1 0 0
2 0 2
1 1 2
10 7
0 3 3
2 1 3
0 2 0
2 1 1
3 1 0
1 0 0
2 1 0
0 2 1
0 1 2
2 2 3
10 3
0 1 2
2 0 1
1 0 2
2 2 0
2 2 2
2 1 2
1 1 1
2 1 1
2 0 0
1 2 1
10 5
2 3 0
1 1 2
3 3 2
1 3 1
1 1 0
1 2 1
0 1 3
0 1 2
3 2 3
0 1 0
10 8
3 2 0
1 2 1
3 3 3
0 0 2
1 1 0
0 1 0
0 3 1
2 0 0
2 0 2
0 2 1
10 4
3 2 2
2 2 2
2 0 2
0 3 0
1 3 2
1 2 2
1 3 1
3 0 3
2 1 3
0 3 2
10 4
2 0 1
1 0 2
2 2 0
1 1 0
3 1 0
2 1 0
1 3 1
0 2 1
3 0 3
2 1 2
10 4
0 3 1
1 0 1
0 1 2
3 1 3
1 3 3
1 1 2
0 2 0
3 0 0
0 0 3
3 3 3
10 9
2 0 2
2 2 2
0 3 2
0 3 3
3 3 2
2 2 0
2 1 0
0 0 2
1 1 3
3 0 0
10 6
2 2 1
1 2 2
2 1 2
0 0 2
0 1 1
0 2 0
1 2 1
0 1 0
0 1 2
1 0 1
10 2
0 3 2
2 3 1
0 1 2
2 2 1
0 1 0
0 0 3
1 1 1
0 1 1
0 2 0
2 1 3
10 6
2 3 0
1 0 1
1 1 0
3 0 2
3 0 1
3 2 3
2 2 0
1 2 2
3 1 2
0 3 2
10 7
1 3 1
0 2 1
0 1 1
1 0 3
0 3 2
3 0 2
2 2 1
0 3 0
2 0 2
0 1 2
10 8
2 0 1
2 1 1
1 0 1
1 2 2
1 2 0
1 1 1
1 1 2
2 2 2
0 2 2
0 2 1
10 5
2 0 1
3 1 0
3 3 2
3 2 1
1 2 3
3 0 3
1 1 3
1 2 1
2 0 2
1 3 3
10 5
0 0 0
1 1 0
0 1 0
1 1 1
0 2 1
0 2 2
0 0 2
0 2 0
2 0 1
2 1 2
10 7
0 3 0
1 2 3
1 0 3
2 3 2
2 3 0
2 3 3
2 2 0
0 2 1
0 2 3
3 3 1
10 5
0 3 3
1 3 1
3 1 2
3 3 3
1 2 2
1 3 3
2 3 3
1 1 1
1 0 3
1 0 2
10 7
0 0 0
1 0 1
0 0 3
1 2 1
0 2 3
2 2 0
2 0 2
0 1 2
1 2 2
2 2 1
10 3
1 3 1
3 3 1
2 2 1
1 2 3
2 2 3
1 3 3
1 1 3
1 1 2
0 2 3
1 0 1
10 8
1 0 2
2 3 3
1 3 2
0 3 0
0 0 2
0 2 1
3 2 2
2 2 2
2 3 0
2 1 1
10 8
0 3 3
3 1 3
1 2 1
0 2 2
3 0 1
1 1 1
0 0 3
2 3 0
0 2 0
0 2 1
10 5
1 0 0
0 2 1
2 1 1
2 2 1
1 1 1
1 2 2
2 1 2
1 0 2
2 0 1
0 1 2
10 9
2 1 1
0 1 1
2 0 0
2 1 0
0 2 2
2 2 1
0 1 0
0 0 1
1 1 2
1 2 2
10 9
3 0 2
2 3 1
1 2 3
2 2 0
3 1 1
0 1 1
3 3 0
1 1 1
1 3 1
0 1 2
10 2
0 0 2
1 2 2
2 0 0
0 1 2
0 0 0
0 0 1
1 0 1
2 2 2
2 0 2
0 2 2
10 6
1 0 0
2 1 1
2 1 0
0 0 0
1 1 2
1 0 1
1 2 2
1 0 2
2 2 0
0 2 1
10 7
2 2 3
1 1 3
0 3 1
3 2 2
1 0 2
0 3 3
0 0 0
0 2 1
2 3 0
3 2 1
10 5
1 0 2
2 2 2
3 2 2
3 2 3
0 3 1
2 0 1
3 1 3
2 2 3
1 2 3
2 0 0
10 2
2 1 2
2 0 2
0 0 0
0 2 0
2 2 2
0 0 2
1 0 1
1 0 2
1 2 0
1 0 0
10 8
3 0 0
1 3 3
0 2 2
0 2 0
3 2 2
3 1 0
1 1 3
3 3 3
0 2 3
1 0 0
10 8
0 0 2
1 1 0
0 0 0
2 0 2
1 1 1
2 2 2
2 0 0
1 1 2
2 2 1
0 1 2
10 2
1 1 0
2 1 0
0 0 0
2 2 2
2 0 2
2 2 0
1 1 2
1 2 0
0 1 1
1 0 0
10 5
0 2 1
2 0 2
3 2 2
0 0 1
2 2 1
3 1 3
3 0 0
3 1 0
0 1 0
2 0 1
10 2
2 3 3
1 0 3
0 0 0
0 2 0
1 1 1
1 0 2
3 3 2
2 1 3
1 2 1
2 3 1
10 9
2 2 1
2 0 1
1 2 0
2 0 2
1 2 1
0 2 2
1 2 2
2 1 0
0 1 2
0 0 2
10 8
3 0 1
1 0 2
1 2 3
2 3 0
1 1 3
2 1 0
3 3 1
3 1 0
2 0 1
0 3 1
10 2
2 2 0
0 0 1
0 0 2
1 2 2
1 2 0
1 1 1
1 1 2
0 2 2
2 0 1
2 2 1
10 3
3 3 1
1 0 0
2 3 0
0 0 3
2 2 1
3 3 0
3 2 1
1 3 2
3 2 2
2 3 3
10 9
0 1 0
2 0 1
0 2 1
1 1 1
0 2 2
0 1 2
2 0 2
0 1 1
1 0 2
1 2 2
10 7
3 0 1
0 1 0
0 3 0
3 0 2
1 2 3
3 1 1
3 2 1
1 0 2
2 0 3
2 0 1
10 8
0 1 3
1 1 2
2 2 2
1 3 3
1 1 1
2 3 0
3 3 1
1 3 2
1 0 0
2 0 3
10 2
1 0 1
3 0 2
0 0 0
2 0 1
1 3 3
0 3 3
3 0 1
3 0 3
2 3 3
2 3 1
10 6
2 0 0
2 1 2
2 0 1
0 2 1
1 1 2
1 0 2
0 0 0
2 2 1
2 2 2
1 0 1
10 2
0 2 0
2 2 1
0 1 0
2 0 1
0 1 2
0 2 2
2 0 2
0 0 1
2 1 2
1 0 1
10 7
0 1 1
0 2 1
2 0 0
2 1 0
1 2 0
2 2 0
2 1 2
1 2 2
0 0 2
0 2 2
10 7
1 2 0
1 0 1
1 0 0
0 0 2
0 1 0
1 0 2
2 0 1
1 2 2
0 1 2
1 1 2
10 2
2 0 1
0 1 2
0 2 2
0 0 1
0 2 0
1 0 1
1 1 2
0 0 0
2 1 2
0 1 0
10 2
0 1 1
0 0 1
1 0 2
0 2 0
1 1 1
2 1 1
1 1 2
2 0 2
0 2 1
0 1 2
10 4
1 1 2
2 1 1
1 2 2
0 2 1
2 2 1
1 2 0
2 1 0
0 0 2
1 0 2
2 1 2
10 6
2 0 1
2 1 1
1 1 2
0 2 0
0 0 0
0 0 2
2 2 0
1 2 2
1 0 2
2 2 1
10 8
0 2 0
0 0 1
0 0 2
0 2 2
2 2 2
0 1 1
1 0 0
1 1 2
1 2 2
0 1 0
10 3
1 0 2
0 1 0
1 1 2
0 1 2
2 0 0
0 2 0
0 0 0
0 1 1
2 2 0
0 0 1
10 3
2 2 1
1 0 0
2 1 0
0 0 2
0 2 2
0 2 1
1 1 1
0 1 2
2 1 2
2 2 0
10 3
0 0 0
1 1 1
2 0 0
1 2 0
1 0 0
0 2 2
1 1 2
2 1 2
0 1 2
2 0 2
10 7
2 1 0
1 2 1
0 0 0
0 0 1
2 2 1
0 1 2
2 2 2
0 2 0
1 1 2
1 0 1
10 9
2 2 2
0 3 0
2 0 1
3 2 2
3 3 3
0 2 3
0 0 3
3 1 3
3 0 3
2 1 1
10 6
0 2 0
0 3 3
0 3 1
2 1 0
0 0 1
0 0 0
0 3 0
0 1 2
1 3 2
2 3 1
10 9
0 0 2
0 1 1
2 1 2
1 2 1
2 0 0
2 2 2
1 0 0
2 2 1
1 2 2
2 1 0
10 9
2 1 0
0 2 1
1 0 2
1 0 1
1 2 0
0 0 1
0 1 1
1 2 2
2 0 1
2 2 0
10 3
0 1 2
0 0 1
3 3 2
3 3 1
0 2 2
1 1 0
2 0 3
1 0 1
3 2 1
0 2 3
10 9
2 2 1
0 0 1
1 1 2
2 1 0
2 0 0
1 2 1
2 2 2
2 2 0
0 1 1
0 0 2
10 8
2 0 2
0 0 3
1 1 3
1 3 3
1 3 0
0 3 1
3 0 1
0 2 2
2 1 2
3 2 3
10 7
3 1 3
1 1 3
2 3 3
0 1 2
0 1 1
2 3 1
2 0 2
1 0 1
0 3 3
0 1 3
10 4
0 2 2
0 0 0
2 1 2
0 2 0
2 0 1
0 2 1
2 2 0
2 0 2
2 2 1
2 0 0
10 3
0 0 2
0 1 0
2 3 1
3 3 1
0 3 1
3 1 1
0 2 2
1 3 1
2 1 3
2 2 3
10 2
2 2 1
1 1 3
0 0 1
2 0 2
3 3 1
3 1 2
2 1 0
3 1 1
2 1 1
0 2 2
10 6
1 2 0
1 2 2
2 2 0
2 0 1
2 1 2
0 0 1
1 0 0
0 0 0
0 2 1
1 2 1
10 6
2 0 2
0 0 2
1 0 1
2 1 0
1 2 0
2 2 2
1 1 0
2 0 1
0 2 1
2 2 0
10 5
2 2 1
0 3 3
0 2 0
0 0 0
0 2 2
2 1 2
1 1 3
3 0 2
3 3 0
2 1 3
10 3
1 0 0
2 1 1
1 2 1
2 0 0
1 1 0
0 0 0
2 0 2
0 2 1
2 1 0
2 2 2
10 3
2 2 1
1 2 0
1 2 2
2 0 2
1 0 2
0 1 0
1 1 2
0 2 2
0 0 1
2 1 2
10 9
2 2 0
3 3 2
0 0 1
2 1 3
0 2 2
2 3 0
2 3 3
1 3 2
1 1 2
1 3 0
10 6
1 1 3
3 3 0
3 0 1
3 1 0
2 0 1
0 1 1
0 1 3
0 2 2
2 1 0
1 0 2
10 3
2 1 1
3 1 0
2 0 3
2 1 3
3 2 2
3 2 1
3 3 1
3 1 2
1 1 0
2 0 0
10 5
1 1 2
0 1 2
2 1 1
1 1 1
1 1 0
2 2 0
2 0 2
2 2 1
1 2 2
1 0 0
10 5
2 1 0
1 0 0
2 2 3
0 2 2
2 1 1
3 3 1
0 2 0
2 0 1
0 0 3
0 2 3
10 5
1 3 2
1 3 3
3 1 1
2 2 1
1 2 2
3 3 3
3 2 3
3 1 2
0 0 3
3 1 3
10 3
0 0 1
0 1 1
2 0 0
0 1 2
2 2 0
0 0 0
0 0 2
0 2 2
2 2 2
0 1 0
10 3
1 1 2
2 1 3
0 0 3
3 1 1
3 2 0
3 0 3
2 2 3
2 0 2
1 3 3
1 2 0
10 4
0 1 0
0 2 1
2 2 0
1 0 2
2 2 1
2 1 0
2 1 2
2 0 1
2 0 0
2 1 1
10 6
0 2 0
2 2 0
1 0 2
1 2 1
2 1 2
0 2 2
3 2 1
0 1 0
0 3 3
0 3 0
10 9
1 1 1
0 1 2
2 2 1
2 1 0
0 0 0
2 0 0
0 0 1
1 2 0
2 0 2
2 2 2
10 3
1 1 2
1 0 1
1 2 1
0 2 1
0 2 2
0 1 1
1 0 0
1 0 2
2 0 1
2 1 0
10 5
2 0 1
1 0 0
2 0 2
1 1 1
1 2 0
0 2 2
2 1 0
1 0 2
2 2 2
1 2 1
10 9
0 1 3
0 2 3
3 1 0
2 1 0
1 1 3
1 2 2
3 2 2
1 3 1
2 2 0
0 0 2
10 5
1 1 1
2 2 2
1 2 0
3 3 2
0 1 3
3 0 3
1 2 1
0 0 0
0 3 3
1 3 1
10 6
2 1 2
1 1 0
1 0 2
0 1 2
0 2 2
0 2 1
0 1 1
2 2 1
2 2 0
0 2 0
10 3
1 1 0
2 1 2
0 1 2
1 2 2
2 2 2
2 1 0
2 1 1
1 1 2
1 2 0
1 1 1
10 4
0 1 2
2 1 2
2 0 1
1 1 2
1 1 1
1 2 2
2 1 1
0 0 2
2 2 2
2 1 0
10 2
2 0 0
2 1 2
0 0 2
1 0 2
0 0 1
1 1 2
0 1 0
1 2 1
0 1 1
2 1 0
10 2
1 1 1
2 2 2
1 2 0
2 2 1
2 2 0
2 1 0
1 2 2
2 0 0
2 0 2
1 2 1
10 7
0 2 2
2 1 0
2 2 2
2 0 2
1 0 1
1 1 1
2 2 1
1 2 1
0 1 1
2 1 2
10 8
1 1 2
0 2 1
2 1 0
2 2 1
1 2 2
2 0 1
1 2 1
0 0 1
2 0 0
0 1 2
10 5
1 0 0
0 1 0
1 1 2
0 2 1
0 1 2
0 2 2
1 2 1
0 0 2
1 2 0
2 2 2
10 3
1 0 2
3 1 3
2 2 2
0 1 1
3 1 0
1 3 2
1 0 3
2 0 2
2 1 0
3 2 1
10 8
0 2 3
2 3 1
2 2 1
2 1 2
0 3 2
0 1 2
0 3 3
1 0 0
0 3 0
2 1 3
10 8
1 0 2
0 0 0
0 1 1
1 1 2
0 2 2
2 1 1
0 1 0
2 2 2
1 2 0
2 0 1
10 6
2 2 2
1 1 0
0 0 0
0 1 2
1 2 2
2 1 1
2 2 1
2 0 2
0 0 1
2 1 0
10 7
0 2 2
2 2 2
0 0 1
2 2 0
2 0 0
2 1 1
2 1 0
1 0 0
1 2 0
0 1 0
10 5
0 3 0
1 1 3
1 3 2
0 1 0
0 0 0
0 3 3
1 0 1
3 1 1
1 0 2
2 2 2
10 2
2 1 0
2 1 2
2 2 0
1 0 2
0 0 2
0 2 0
0 0 1
2 2 2
1 2 2
2 0 0
10 7
2 1 0
3 3 1
1 0 1
2 0 2
3 1 2
2 0 1
0 2 2
3 1 0
3 1 1
0 3 2
10 5
2 2 2
1 1 1
0 1 2
1 2 2
1 1 0
2 0 1
1 0 0
2 0 0
2 2 0
2 1 0
10 8
1 1 1
1 2 2
0 0 2
2 2 0
2 0 1
1 2 1
1 2 0
0 1 2
2 0 2
1 1 0
10 3
1 2 1
2 1 1
2 1 0
2 2 2
1 1 1
1 0 0
0 1 0
0 0 2
0 2 1
0 0 0
10 5
1 0 3
2 3 1
3 0 1
2 1 2
0 0 1
3 0 2
0 0 2
3 3 3
0 1 1
2 0 3
10 6
0 0 0
1 1 2
1 1 0
2 2 1
0 0 1
2 1 2
1 2 1
2 2 0
2 0 2
1 0 2
10 5
2 1 1
1 1 2
0 2 2
1 2 1
2 0 1
1 1 1
2 0 2
1 0 1
0 0 0
0 2 0
10 3
1 1 2
2 2 1
2 0 1
0 0 2
0 1 1
1 2 0
1 0 2
2 0 2
1 0 1
2 2 2
10 2
0 2 2
2 0 1
2 2 2
3 1 0
2 1 1
0 1 1
3 0 1
3 1 3
1 1 2
1 2 0
10 3
0 0 1
0 0 2
2 3 3
1 3 2
2 0 3
1 0 3
1 1 2
1 3 1
3 2 1
2 3 1
10 8
1 3 1
0 0 1
3 0 0
2 0 3
0 1 0
1 3 3
1 1 2
0 0 0
2 3 0
1 2 0
10 8
1 2 1
2 0 0
3 2 3
0 0 0
1 1 3
2 3 2
2 3 3
0 2 1
3 1 1
0 3 0
10 4
2 2 1
0 1 0
1 0 1
2 2 0
0 2 1
0 0 1
2 1 2
1 1 2
2 0 1
1 2 0
10 6
2 0 2
0 2 2
2 1 0
1 1 2
0 0 0
1 1 1
1 2 2
1 0 2
0 2 1
1 2 0
10 7
1 0 2
0 2 2
0 0 1
2 2 2
1 2 2
2 2 1
2 1 1
2 1 0
0 2 0
0 2 1
10 9
0 1 2
2 1 1
2 1 0
0 2 1
2 2 1
2 0 0
1 0 0
0 0 0
0 0 1
1 2 0
10 2
1 2 0
2 0 0
0 2 2
1 0 0
2 1 2
2 0 2
0 0 0
1 1 1
0 0 2
2 2 0
10 9
0 0 2
0 0 1
1 1 2
2 1 2
0 2 2
2 1 1
0 2 0
1 1 1
2 0 2
0 1 0
10 8
2 0 2
1 1 0
2 2 1
1 2 2
0 1 2
2 2 0
0 0 1
2 0 0
1 2 0
0 1 0
10 6
0 0 1
1 0 2
2 2 0
1 2 3
3 3 1
1 0 3
0 2 1
1 2 2
1 2 0
2 0 2
10 8
1 3 3
3 0 3
0 2 3
2 0 2
2 3 3
1 1 3
0 0 1
3 2 2
0 3 1
2 2 0
10 6
2 0 0
0 0 1
2 2 2
2 0 1
2 2 1
1 0 1
1 1 2
2 1 2
1 0 0
0 0 2
10 8
2 0 1
1 2 1
2 2 2
0 0 0
2 0 0
1 0 0
2 0 2
1 2 2
1 0 2
0 1 2
10 2
0 2 0
1 1 2
2 2 1
1 2 2
1 0 2
0 1 2
1 2 1
0 0 1
1 0 1
2 1 1
10 4
0 0 2
1 0 2
2 0 1
1 1 0
1 1 2
1 2 0
0 0 1
1 1 1
1 0 0
1 2 2
10 3
2 0 2
1 1 3
3 2 0
1 2 2
2 0 1
1 1 1
2 1 1
3 0 3
3 1 0
3 1 2
10 7
2 0 0
2 0 2
2 2 0
0 1 0
1 2 2
0 1 1
1 0 2
1 1 0
2 2 1
1 1 1
10 2
1 0 0
2 1 1
1 2 0
2 2 1
2 0 0
0 2 1
2 0 2
1 1 2
1 1 0
2 0 1
10 6
0 0 1
3 3 2
2 1 0
0 0 2
0 2 0
1 3 1
0 1 2
1 0 3
3 1 1
3 2 3
10 9
1 0 1
2 0 1
1 2 2
2 0 2
1 1 0
2 1 0
0 0 1
1 2 0
0 2 1
0 0 0
10 6
1 0 1
1 3 3
1 1 0
1 2 1
0 3 3
0 1 2
2 2 1
3 3 3
0 0 3
0 3 2
10 3
2 1 2
1 0 0
1 2 3
2 2 0
0 2 0
2 2 2
0 3 2
1 1 2
0 1 0
2 3 1
10 8
0 3 2
2 1 2
3 1 2
2 3 2
3 1 0
1 1 3
2 0 0
2 2 1
3 0 1
2 0 3
10 9
2 0 1
0 0 2
2 2 2
2 0 2
1 2 1
1 2 2
0 0 1
1 0 2
1 0 0
1 1 2
10 8
1 0 1
3 1 0
0 2 1
3 0 2
1 3 1
2 3 2
0 2 3
0 3 2
2 0 0
0 1 2
10 5
1 1 0
1 0 1
2 2 1
0 1 0
1 1 2
1 0 0
0 0 0
1 0 2
0 1 1
0 0 2
10 2
2 1 2
2 0 0
0 2 0
0 1 2
2 2 1
1 1 0
1 0 1
0 2 2
0 0 0
2 1 1
10 4
0 1 0
1 0 1
2 0 2
2 0 0
2 0 1
1 0 0
0 1 2
1 2 0
2 2 0
0 2 1
10 5
3 2 2
1 0 3
3 3 0
0 3 1
3 1 2
2 2 0
1 0 2
0 3 2
1 2 0
0 2 2
10 5
2 2 3
3 3 1
0 1 2
0 2 3
1 3 2
1 2 2
0 3 1
0 0 3
1 2 1
3 0 0
10 7
1 0 0
0 1 0
2 2 1
0 2 0
0 1 1
1 2 0
1 0 2
2 1 0
2 0 1
2 1 1
10 8
2 0 3
3 1 0
3 3 3
3 3 1
3 1 2
1 2 1
1 0 2
3 3 0
0 0 2
0 2 1
10 9
2 2 2
0 2 0
0 2 1
0 1 2
1 0 2
1 1 0
2 2 1
1 1 2
0 2 2
2 2 0
10 2
1 1 2
1 1 1
1 0 2
2 1 0
0 1 1
1 0 0
2 2 0
2 2 1
0 0 2
1 2 0
10 8
0 2 0
2 2 1
0 1 1
0 2 2
1 2 2
2 2 2
2 0 0
2 1 1
0 1 0
1 0 0
10 8
0 2 2
0 2 0
1 3 1
2 1 3
1 0 1
0 3 0
1 2 3
1 1 1
2 0 1
1 2 2
10 7
1 0 1
2 0 0
0 2 2
1 2 1
2 0 1
0 1 0
0 1 2
0 0 1
0 1 1
1 1 2
10 9
2 0 3
1 0 1
1 0 0
0 0 0
3 1 1
1 2 1
2 3 3
1 2 3
1 3 0
2 1 0
10 2
0 1 2
0 1 0
2 1 1
1 1 1
1 0 0
0 2 1
1 2 0
2 2 1
2 0 2
2 2 0
10 2
3 2 1
3 2 3
2 1 1
0 2 3
2 2 1
0 1 3
1 3 0
3 2 0
1 0 0
2 2 0
10 3
1 2 0
2 2 2
2 1 0
1 1 0
2 1 2
1 0 2
0 1 2
0 0 2
1 2 1
2 0 2
10 8
1 3 1
3 2 3
0 2 0
0 1 3
3 2 0
1 0 0
3 0 0
0 2 2
1 0 2
0 1 1
10 7
0 1 1
0 1 2
2 1 0
1 2 0
2 1 2
2 0 0
1 2 1
2 2 1
0 0 2
2 2 0
10 7
0 1 2
1 0 1
1 2 1
2 2 2
2 1 0
0 0 2
2 0 1
0 2 2
0 0 1
0 2 1
10 7
2 0 0
1 2 3
0 1 2
2 1 3
1 3 1
1 1 0
1 1 3
1 0 2
2 2 0
0 3 2
10 4
2 2 2
1 3 2
2 2 1
0 3 0
3 0 0
3 3 3
0 2 0
1 2 1
2 0 3
3 1 3
10 8
3 2 2
3 3 3
3 2 0
3 3 1
2 0 1
3 1 0
3 2 3
2 2 3
1 0 0
2 1 1
10 2
1 0 2
3 0 2
2 0 0
0 1 2
1 3 3
1 3 1
3 0 1
0 3 2
3 3 0
2 0 3
10 8
1 1 2
1 0 2
2 1 2
2 0 0
1 2 2
2 2 2
2 0 1
1 0 0
1 0 1
1 2 0
10 2
0 1 0
2 0 0
2 1 2
2 1 1
2 0 2
1 1 0
2 0 1
0 0 2
1 2 2
1 2 0
10 5
2 0 0
1 0 0
0 0 0
0 1 2
1 0 2
1 0 1
1 2 0
0 2 0
0 0 1
2 2 1
10 2
3 2 0
0 2 1
2 2 1
0 3 3
2 1 0
2 2 0
0 3 0
2 3 1
2 0 1
2 3 3
10 7
0 3 0
1 2 2
1 0 2
2 1 3
0 1 0
0 2 1
2 0 1
1 3 2
3 2 1
1 2 0
10 9
1 3 0
3 2 1
3 1 2
0 3 3
1 2 1
2 2 3
0 2 2
2 3 1
3 2 2
1 1 1
10 9
0 3 1
2 1 3
3 1 2
2 3 2
1 2 0
0 2 2
0 1 2
1 0 1
0 2 1
3 3 3
10 7
2 1 1
0 1 0
1 1 2
1 2 2
0 2 0
1 2 0
2 1 2
0 0 2
2 0 2
2 2 2
10 5
2 1 1
0 2 2
3 0 3
2 3 1
3 1 0
0 3 3
1 1 2
2 1 0
1 0 0
0 1 2
10 4
0 1 0
3 1 2
1 1 3
2 3 3
3 3 3
0 2 1
3 3 1
0 3 0
1 0 0
2 2 1
10 7
0 2 2
2 1 2
2 1 1
0 0 0
2 2 2
1 0 0
2 0 0
1 1 2
0 1 2
2 0 2
10 4
0 1 1
1 0 1
0 2 1
1 0 2
1 2 0
1 2 1
2 1 2
1 0 0
0 0 2
1 1 1
10 9
0 0 2
3 2 0
0 2 0
0 0 0
2 3 2
1 1 1
2 0 1
1 3 3
3 1 0
0 1 3
10 8
2 0 3
2 3 3
0 1 0
1 1 1
0 3 3
3 3 1
1 3 2
2 2 2
3 0 1
0 0 2
10 6
1 2 0
0 2 1
0 1 0
2 1 0
1 1 2
2 0 0
1 1 0
1 2 2
1 2 1
2 2 0
10 9
1 0 1
2 0 1
2 0 0
2 2 1
1 1 0
2 1 1
1 2 0
0 0 0
0 0 2
2 0 2
10 9
0 2 2
0 3 1
1 3 2
2 3 2
0 2 3
3 2 1
1 1 2
1 3 0
3 0 0
0 0 0
10 4
3 0 0
1 0 0
0 2 2
2 3 3
0 2 1
0 1 0
1 1 2
0 3 3
1 3 0
1 2 1
10 7
1 2 1
2 2 1
2 0 1
1 0 1
2 1 1
1 0 2
0 2 1
2 1 0
2 1 2
0 1 0
10 6
1 2 1
0 0 1
1 2 0
1 1 0
1 0 2
2 2 0
0 1 1
2 1 2
2 0 2
0 2 0
10 3
0 2 2
0 0 0
2 1 1
2 0 1
1 0 0
2 2 2
0 0 2
1 1 0
2 0 0
1 0 1
10 7
1 2 1
1 1 0
0 3 0
0 3 1
1 3 3
2 2 2
3 1 3
2 3 2
2 1 0
3 0 3
10 2
1 0 1
2 1 1
0 2 2
1 2 2
0 1 2
1 1 1
0 0 1
1 2 1
2 2 1
1 2 0
10 3
2 1 0
1 0 2
0 1 2
2 2 1
2 0 1
1 1 1
1 1 0
0 1 0
1 0 0
0 2 0
10 7
1 2 1
0 0 1
2 1 0
2 1 1
0 2 2
1 0 0
2 0 2
0 1 1
2 2 1
0 2 1
10 3
1 0 0
0 2 1
0 0 2
0 1 2
0 0 1
2 1 1
2 1 2
2 0 2
2 2 0
1 0 2
10 6
0 1 0
2 1 0
0 0 2
2 1 2
1 1 0
2 0 2
2 1 1
2 0 1
0 0 0
1 1 2
10 5
2 2 2
1 2 2
0 1 2
0 0 1
0 2 0
0 0 2
0 2 2
1 2 0
0 0 0
2 2 1
10 8
3 3 3
1 0 0
0 3 2
0 3 0
2 2 1
3 0 3
3 0 0
3 2 0
1 0 3
2 3 1
10 5
0 1 1
2 1 1
2 1 2
2 0 0
0 0 1
1 0 0
0 0 0
1 2 2
0 2 0
0 2 1
10 3
3 0 0
1 0 3
1 3 2
2 3 3
1 2 2
2 1 3
3 3 3
1 0 0
0 0 1
0 3 2
10 3
1 0 2
0 2 0
1 1 1
1 1 2
0 0 0
2 2 1
0 2 2
0 0 2
2 2 0
2 2 2
10 6
2 1 1
2 1 2
1 2 2
2 2 2
0 1 0
2 0 0
0 2 2
1 0 1
1 1 0
2 2 1
10 3
0 3 3
3 2 1
3 1 1
3 2 3
2 3 1
3 3 1
0 1 1
1 0 0
1 3 0
0 1 3
10 3
2 1 2
3 0 2
2 2 2
3 0 0
0 0 3
0 1 2
3 1 0
1 2 0
0 2 2
0 0 2
10 3
2 1 1
2 0 0
2 1 0
1 1 0
0 1 2
2 2 0
2 1 2
2 2 2
0 2 0
2 0 1
10 8
1 1 2
0 1 2
0 2 1
2 1 0
0 0 0
2 2 2
0 0 1
1 0 0
1 1 0
1 1 1
10 7
1 0 1
2 1 2
0 1 0
1 2 2
1 1 1
0 0 0
0 1 2
1 1 0
2 2 2
2 0 1
10 5
2 0 2
0 2 0
0 0 0
1 1 1
2 0 0
1 0 0
0 1 0
0 2 1
0 1 1
1 1 0
10 3
0 2 3
0 1 3
0 2 1
2 3 2
1 0 1
2 2 3
0 3 3
0 0 2
3 0 0
1 2 1
10 4
1 0 0
2 2 1
1 2 2
1 1 0
1 1 1
1 2 0
0 1 2
0 0 0
0 0 2
0 1 1
10 3
3 3 3
1 3 1
1 1 0
2 1 3
0 3 3
2 1 2
3 2 3
2 3 0
3 3 0
0 1 3
10 8
1 2 3
0 2 1
3 2 0
2 1 0
0 2 0
2 2 3
0 3 2
2 3 2
1 0 0
1 1 2
10 4
0 1 0
1 1 0
2 0 1
0 1 1
2 1 0
1 0 0
2 1 2
2 2 2
0 0 0
0 2 1
10 8
2 1 0
1 2 3
1 0 2
0 2 0
0 2 3
3 0 1
3 0 0
3 3 2
0 2 2
0 1 0
10 5
1 0 2
2 0 2
2 0 1
2 0 0
2 2 2
0 2 0
0 1 1
1 0 1
0 2 1
1 1 2
10 4
2 3 3
0 0 2
2 2 3
1 2 2
1 3 3
1 2 3
3 2 0
0 2 2
3 2 1
0 1 2
10 7
1 0 2
0 1 1
1 1 0
0 1 0
2 2 2
0 2 0
1 2 1
2 1 1
1 1 2
1 2 0
10 7
2 1 3
3 3 0
0 2 0
3 1 0
3 2 1
0 3 0
1 1 3
0 3 2
2 2 3
3 2 3
10 2
2 3 3
3 3 0
3 1 1
3 2 2
1 3 2
2 0 1
0 1 3
2 3 0
2 1 1
3 2 3
10 2
0 1 3
2 2 3
2 1 2
1 3 0
2 1 3
1 2 0
1 3 3
1 0 0
0 3 2
3 0 3
10 3
0 0 0
0 0 2
0 2 1
0 1 2
0 0 1
2 2 2
1 2 2
0 2 0
1 1 2
2 0 0
10 6
2 1 2
0 1 1
0 0 2
2 2 0
1 2 1
2 0 1
2 0 0
0 2 2
1 2 2
0 2 1
10 9
0 0 2
0 2 0
0 1 1
0 0 0
1 1 0
2 2 1
2 0 1
0 1 0
1 2 0
1 0 1
10 4
1 2 0
0 2 0
1 1 1
2 0 1
1 1 2
1 1 0
2 1 1
1 2 2
1 2 1
0 0 0
10 9
1 1 1
0 2 1
2 0 1
1 2 2
2 1 0
1 0 0
1 0 2
1 1 0
1 2 0
2 0 0
10 4
2 1 1
2 0 2
2 2 1
0 1 0
0 2 1
2 1 2
2 0 0
1 0 0
0 0 1
2 2 2
10 8
2 1 0
0 2 0
2 1 1
2 2 1
0 1 0
2 0 1
1 1 0
1 0 1
2 0 2
2 0 0
10 5
1 0 2
1 1 0
2 1 1
2 2 2
1 2 2
1 0 1
1 0 0
0 0 2
1 1 2
0 1 0
10 5
1 3 1
1 1 2
0 0 2
2 2 3
3 3 0
3 2 0
0 2 2
2 3 1
2 0 3
0 1 1
10 8
2 0 2
2 2 0
0 0 2
1 2 2
0 1 1
0 0 0
1 2 0
1 1 2
2 1 1
0 1 2
10 7
3 0 3
2 2 0
3 1 1
2 3 0
0 2 2
2 3 2
3 3 2
2 1 0
1 0 1
1 3 1
10 2
2 2 0
1 0 1
2 1 2
0 1 1
2 1 1
0 0 2
1 2 1
1 0 2
1 1 0
0 2 1
10 8
2 2 1
0 1 2
1 0 1
0 2 2
2 0 0
0 0 0
0 2 1
1 0 0
2 0 1
1 1 0
10 4
1 0 3
1 1 1
2 3 1
3 3 1
2 0 1
1 0 0
3 3 2
0 2 3
1 3 0
2 3 3
10 8
3 3 2
1 1 0
0 3 3
0 1 2
3 2 0
0 0 2
1 0 3
0 1 1
1 3 0
0 2 3
10 8
3 0 2
2 0 0
1 1 2
2 2 2
2 2 3
2 0 2
2 3 1
0 3 1
1 3 3
3 3 1
10 3
0 0 0
3 3 1
1 0 1
3 2 2
1 3 1
1 3 3
2 0 3
1 1 1
2 3 2
3 0 2
10 5
1 1 0
0 1 2
0 1 0
1 2 0
0 1 1
2 0 1
0 2 1
2 2 0
0 2 2
1 0 2
10 5
0 1 0
2 1 2
1 1 2
2 1 1
0 0 2
2 2 1
2 1 0
1 2 1
1 0 0
0 1 2
10 2
1 0 0
0 2 0
1 1 0
0 0 0
1 0 2
1 1 1
0 1 2
0 2 2
1 2 1
2 2 0
10 5
0 0 1
0 1 2
2 0 1
1 0 0
1 0 2
1 2 1
0 1 1
0 1 0
2 1 1
1 2 2
10 9
3 3 3
0 3 0
2 1 0
1 1 3
3 3 0
3 0 0
3 0 3
0 3 1
1 1 0
1 0 2
10 3
2 0 3
0 2 3
3 0 2
3 1 3
1 1 2
1 2 2
3 1 2
3 1 0
0 1 2
2 0 0
10 5
1 1 2
1 0 0
1 2 0
1 2 1
0 0 0
2 0 0
0 1 2
2 1 2
2 0 2
0 1 0
10 8
1 2 1
1 0 0
2 0 0
0 2 1
0 0 1
1 2 2
0 2 0
1 0 2
0 1 2
2 2 0
10 2
2 1 0
2 3 2
1 2 2
2 2 3
3 2 2
0 3 3
3 0 1
0 0 0
1 1 3
1 3 0
10 3
0 1 2
0 1 0
0 0 0
2 0 1
1 1 0
1 2 1
2 2 2
0 2 1
0 1 1
0 0 2
10 9
3 0 2
1 1 1
3 1 0
3 0 3
1 2 0
0 0 3
2 3 1
1 0 3
3 0 0
0 2 3
10 7
2 1 1
2 0 1
1 2 1
0 1 1
0 2 0
1 1 0
1 2 0
1 1 1
1 2 2
0 0 0
10 4
0 2 0
2 0 1
2 2 2
0 0 1
0 2 1
1 2 2
2 2 0
0 0 0
1 0 0
1 2 0
10 9
0 2 2
1 2 2
2 2 1
0 0 1
0 1 1
2 1 0
2 2 0
0 1 0
1 0 0
2 1 2
10 2
2 0 0
2 2 1
0 2 0
1 2 0
0 0 2
1 1 1
2 1 0
2 2 2
2 0 1
2 1 1
10 2
0 2 1
1 1 1
1 2 0
2 0 3
3 1 0
3 3 2
3 1 1
0 1 3
3 0 2
1 0 2
10 5
1 0 2
0 1 1
1 1 0
0 2 2
2 2 2
1 0 1
1 1 1
0 1 2
1 0 0
2 1 1
10 2
0 1 0
2 0 0
2 0 2
0 2 2
0 1 1
1 1 2
1 2 0
2 1 1
1 2 1
0 2 1
10 4
0 1 0
0 2 1
1 1 3
3 2 3
2 0 3
1 2 0
3 3 2
3 1 1
2 2 0
3 0 2
10 8
2 2 0
0 1 1
2 1 1
0 0 2
0 1 2
1 2 0
2 1 2
1 0 0
0 2 0
1 2 2
10 4
0 1 1
2 3 3
2 0 2
3 2 1
1 1 2
3 3 3
2 1 3
0 0 3
0 1 0
1 0 3
10 4
2 2 1
0 2 2
0 2 0
0 1 0
1 2 0
2 0 0
1 1 1
1 2 1
0 0 2
0 0 1
10 6
3 1 3
1 2 2
3 0 2
2 1 1
1 0 1
3 2 1
1 1 2
3 2 3
0 3 3
1 3 0
10 9
2 0 3
0 1 0
3 2 0
3 3 1
1 0 3
0 3 1
2 2 1
2 0 0
2 0 1
3 3 2
10 9
0 0 3
0 0 0
1 3 0
1 2 0
2 1 2
2 2 1
2 3 1
3 0 2
0 3 2
1 1 3
10 9
1 1 0
1 1 2
0 2 1
1 2 0
2 2 1
0 2 0
2 1 1
2 0 1
2 0 2
1 2 2
10 6
0 2 2
1 2 0
2 0 2
2 2 2
2 0 1
2 1 0
0 0 1
1 1 0
1 0 1
1 1 2
10 8
1 2 0
1 0 2
3 0 1
3 3 2
1 2 3
1 3 3
3 1 3
3 2 0
2 0 0
2 1 2
10 3
3 0 1
0 3 0
2 0 3
0 1 2
1 1 2
1 0 3
3 1 0
2 0 1
2 1 2
2 3 2
10 6
0 3 2
1 1 1
2 3 2
2 2 1
0 2 1
0 0 0
3 2 2
2 0 2
1 1 2
2 3 0
10 9
0 1 0
2 3 3
1 2 1
2 0 2
3 0 2
3 1 3
1 1 0
0 2 3
0 2 0
0 2 1
10 4
0 3 2
2 1 1
2 2 3
2 3 3
1 3 2
1 2 3
3 3 1
0 2 0
0 0 1
3 0 0
10 3
1 2 0
0 0 2
2 1 0
2 0 2
0 1 2
0 2 1
2 2 1
2 1 2
2 2 0
1 0 1
10 8
0 2 1
1 1 0
0 3 0
0 1 2
3 2 0
0 3 1
0 0 1
2 3 2
3 2 3
2 0 2
10 2
3 1 1
1 1 2
1 1 0
1 3 0
3 2 0
0 3 2
0 3 1
3 2 2
3 3 1
1 2 0
10 7
1 2 0
1 1 0
2 1 0
0 0 2
0 2 0
2 2 2
0 1 0
0 2 1
2 2 0
1 2 2
10 9
1 0 2
3 1 3
3 0 3
2 1 1
0 1 1
3 2 0
1 1 0
2 0 3
0 2 1
2 1 3
10 6
2 0 0
1 0 0
0 0 0
2 2 0
0 1 1
2 2 1
0 2 0
1 1 2
2 0 2
0 0 1
10 9
2 3 1
1 0 2
0 1 2
3 2 0
0 1 0
0 3 0
1 3 3
3 3 3
1 2 3
3 2 3
10 5
1 0 0
0 1 0
2 0 0
2 1 1
1 0 1
1 2 2
2 0 1
1 1 0
0 2 2
0 1 1
10 5
0 0 1
1 2 0
0 1 2
1 2 1
2 2 1
2 0 1
1 1 2
1 2 2
0 0 0
1 0 1
10 3
0 1 0
1 0 0
1 1 0
0 2 1
2 2 1
2 2 0
0 0 0
1 1 1
1 2 0
2 1 0
10 3
0 0 0
2 0 2
1 1 1
0 1 2
1 2 1
2 1 0
1 0 2
2 2 1
0 2 1
1 0 0
10 5
3 1 1
3 1 0
3 1 2
2 2 0
0 3 1
3 2 1
3 2 0
1 3 0
1 1 0
3 0 0
10 4
3 1 2
1 2 1
3 2 3
3 1 1
1 1 3
3 2 2
1 0 3
2 1 3
1 0 2
0 1 3
10 9
1 0 3
1 2 1
2 3 0
1 3 0
3 0 3
3 2 3
0 0 3
3 3 1
2 0 0
2 3 2
10 8
2 2 3
2 1 0
3 3 3
0 2 1
2 2 0
2 3 2
3 3 2
1 2 2
1 1 3
3 0 2
10 5
1 2 2
0 2 0
1 1 1
0 2 1
0 1 2
1 2 0
1 1 0
0 0 1
0 0 0
2 1 1
10 7
1 0 1
1 2 0
1 0 2
0 1 2
0 0 0
1 2 1
2 2 0
0 1 1
0 1 0
1 1 0
10 7
2 0 3
0 1 2
3 1 2
1 3 1
1 3 3
3 3 3
0 1 0
1 3 0
3 0 3
2 2 3
10 6
1 0 3
1 3 1
3 1 2
3 3 2
1 3 2
0 0 1
2 2 2
2 3 3
1 2 3
2 2 0
10 9
0 1 1
2 0 1
3 2 2
0 0 1
2 1 0
3 1 0
2 2 2
3 3 0
0 3 0
3 3 2
10 2
0 2 1
1 1 1
2 1 1
1 0 2
1 1 0
2 2 2
0 2 0
2 0 1
0 1 0
0 0 0
10 7
2 2 1
1 2 2
0 1 3
1 3 2
1 1 1
1 1 2
1 3 0
2 0 1
3 0 0
0 2 1
10 5
3 1 3
3 2 0
1 2 3
3 1 2
0 1 0
3 0 2
2 3 1
2 0 2
0 0 3
0 1 1
10 7
0 2 1
0 2 0
2 2 1
0 1 0
0 0 1
0 2 2
2 0 1
0 0 0
2 1 0
1 0 0
10 3
0 0 1
2 0 2
2 1 0
1 0 0
1 0 1
2 1 2
1 2 0
1 0 2
0 0 2
1 1 1
10 7
3 1 1
1 0 2
3 2 3
1 2 2
2 3 1
0 0 2
2 3 2
3 1 0
3 3 2
0 3 2
10 7
1 1 0
3 0 3
3 3 0
1 1 1
3 2 2
3 0 1
0 2 2
3 1 1
0 1 3
2 3 1
10 5
1 3 1
3 2 1
2 2 0
0 1 0
1 1 1
2 0 2
1 3 0
3 3 2
2 2 1
1 0 2
10 5
0 2 2
0 0 1
0 1 0
2 2 0
2 0 2
0 2 1
2 1 1
1 2 1
1 0 1
1 1 2
10 4
3 3 1
1 2 3
1 2 1
1 2 0
3 3 0
2 0 3
0 2 1
2 1 3
2 0 1
0 0 2
10 6
2 3 2
1 2 2
2 3 1
0 0 2
3 1 3
2 1 3
3 3 2
2 1 0
1 1 1
3 3 0
10 9
3 0 3
3 0 1
0 0 0
1 2 2
3 3 0
0 1 0
2 0 3
1 3 2
0 0 3
0 1 1
10 5
2 1 2
1 1 0
1 1 2
1 0 2
0 2 2
0 0 0
2 0 2
1 1 1
0 0 2
0 2 0
10 6
0 2 1
2 1 1
1 2 0
1 0 1
0 0 1
1 0 0
2 2 0
0 1 0
2 1 2
2 0 2
10 6
3 2 1
0 2 3
0 3 2
0 0 2
1 0 1
2 2 2
1 3 2
2 2 0
1 2 2
2 0 1
10 7
0 2 0
0 1 2
0 1 0
2 1 1
1 2 0
2 2 0
2 2 2
2 1 0
0 1 1
2 0 0
10 3
0 2 0
1 2 1
1 0 1
1 0 0
1 1 0
1 2 0
0 1 0
2 2 2
0 2 1
1 1 2
10 3
3 0 1
1 1 1
2 1 3
3 2 1
3 1 0
1 2 1
3 3 3
2 3 0
3 2 0
3 2 3
10 6
0 1 2
0 2 2
0 0 1
1 0 1
2 2 1
1 1 2
1 0 0
1 2 1
0 0 2
2 2 0
10 8
0 2 1
0 2 0
2 1 0
1 1 2
1 0 1
1 1 1
2 0 2
2 2 0
1 0 2
2 1 2
10 9
3 3 2
2 3 3
1 1 1
0 2 0
0 3 3
2 1 2
1 2 1
2 2 3
0 2 3
1 0 0
10 9
3 2 1
0 2 2
1 3 0
2 2 1
2 3 1
0 2 3
1 3 2
0 3 0
0 0 1
3 3 2
10 4
1 2 0
2 0 1
1 0 1
2 2 2
0 0 2
0 2 1
2 1 2
1 1 1
2 1 0
1 0 2
10 2
2 1 1
2 1 0
0 2 0
2 2 0
0 2 2
1 0 0
3 2 2
3 3 0
3 2 0
2 3 3
10 8
0 0 2
2 2 0
0 1 2
0 0 0
1 0 2
2 0 0
0 1 1
1 1 0
1 2 1
1 1 1
10 6
0 2 1
1 3 3
0 3 0
1 2 2
3 0 0
3 3 3
0 2 3
2 3 3
0 0 2
0 0 1
10 6
1 0 0
0 2 2
1 1 1
1 0 1
0 0 1
0 1 2
0 0 0
0 1 0
2 2 2
2 2 1
10 9
0 1 1
1 1 2
1 2 1
2 0 0
2 0 1
0 2 1
2 1 1
1 0 2
1 1 1
2 2 1
10 4
0 2 3
0 2 1
1 3 1
3 3 2
2 0 0
2 3 1
3 1 0
3 0 3
0 3 2
2 1 2
10 4
1 1 2
2 2 0
2 0 0
1 2 1
1 0 1
1 1 0
0 1 1
0 2 0
1 2 2
2 1 0
10 8
0 0 1
2 2 1
1 0 2
2 1 0
2 2 0
0 1 0
0 1 1
2 1 1
1 0 0
0 0 0
10 7
1 0 2
2 1 1
1 0 0
0 0 2
1 1 1
2 0 1
0 1 1
1 2 0
2 0 2
0 1 0
10 2
2 2 0
3 0 1
1 1 3
0 3 1
3 1 1
2 2 2
0 1 3
0 3 3
1 0 1
2 1 1
10 9
1 2 1
1 2 0
1 3 1
2 1 0
3 3 2
2 1 2
3 1 0
0 0 2
0 3 0
2 0 2
10 4
3 2 1
3 1 0
3 2 2
0 1 3
3 3 3
3 1 3
0 2 0
0 2 3
1 0 2
1 2 2
10 7
1 2 1
2 0 1
0 3 0
3 1 3
2 0 0
1 1 2
1 3 2
0 0 0
1 0 3
3 2 3
10 8
0 3 3
1 1 3
2 2 1
1 3 3
1 1 0
2 1 2
3 3 0
2 2 0
1 3 1
0 3 1
10 7
2 2 1
1 0 2
2 1 0
0 0 0
0 2 2
2 0 0
2 1 1
1 0 1
2 2 2
1 1 2
10 8
1 2 3
0 3 0
2 2 3
3 0 0
2 2 0
3 2 0
0 2 1
0 3 2
1 1 2
1 0 2
10 9
0 0 2
2 3 1
0 3 1
0 2 3
2 3 0
3 3 2
1 3 1
0 1 2
1 0 0
1 1 0
10 5
2 2 1
0 2 0
0 0 2
2 2 0
2 1 2
2 1 0
0 0 0
1 1 1
1 2 2
2 0 2
10 7
1 2 1
2 0 1
1 0 0
3 3 2
0 3 1
3 3 1
2 3 3
2 0 2
0 2 2
1 2 2
10 4
3 3 3
0 0 2
2 0 2
2 3 0
0 1 3
3 1 2
1 1 3
3 3 2
0 3 2
2 3 1
10 3
0 2 0
0 0 1
2 0 1
0 1 0
0 1 1
1 2 0
2 1 2
1 1 2
2 0 2
2 2 0
10 6
1 0 1
0 1 2
0 0 3
2 0 0
3 0 2
0 3 3
1 1 3
2 0 2
0 3 2
2 1 1
10 8
2 1 2
0 0 0
0 2 1
1 0 2
2 0 1
1 1 2
2 0 0
1 2 0
0 0 1
0 1 0
10 4
3 1 2
1 1 3
0 2 2
1 3 2
0 0 2
1 0 0
3 1 3
2 1 2
3 2 2
1 0 1
10 3
0 0 1
2 1 2
1 0 2
0 1 1
2 3 1
3 2 2
2 1 3
1 3 1
0 2 2
1 1 0
10 5
0 0 1
2 1 1
2 1 2
0 2 1
1 2 0
1 0 1
1 2 2
2 2 0
1 1 0
0 2 0
10 3
3 3 3
1 3 1
2 1 0
1 2 0
0 1 1
1 1 2
3 0 2
1 2 3
1 1 3
3 1 2
10 5
1 0 2
1 1 1
1 2 1
1 1 0
1 2 2
1 1 2
0 0 2
0 2 2
2 1 2
0 1 1
10 2
0 3 2
3 2 3
0 2 3
0 2 1
3 0 1
0 0 0
2 3 0
3 0 0
2 1 2
2 1 3
10 7
0 2 2
2 1 0
0 1 2
1 1 0
0 2 0
1 0 2
2 2 2
2 0 2
0 0 0
0 0 2
10 5
1 0 2
1 2 1
2 0 1
2 1 1
1 0 1
0 0 1
0 2 0
0 1 0
2 2 1
2 0 0
10 4
0 0 0
1 2 0
0 0 1
2 1 2
0 2 0
1 2 1
0 0 2
1 2 2
2 2 2
0 1 1
10 8
3 2 2
1 1 3
1 0 1
2 2 2
0 3 1
0 2 3
1 2 1
2 3 2
3 1 1
3 0 1
10 5
0 0 1
3 2 0
0 3 1
3 2 2
2 0 1
3 1 1
1 2 3
0 2 1
1 2 0
1 3 2
10 9
1 2 2
0 0 2
0 2 1
2 0 1
0 1 1
0 0 0
0 0 1
2 0 2
1 2 1
2 1 2
10 6
2 1 0
0 1 2
2 2 1
1 1 0
2 2 2
2 0 1
0 2 0
1 1 1
2 1 1
0 0 2
10 7
0 3 3
1 2 2
0 1 2
3 1 0
3 0 0
1 0 1
1 3 1
2 3 1
2 0 3
3 0 3
10 6
3 1 0
1 0 3
0 0 2
2 2 0
0 0 3
3 2 1
1 0 1
2 0 0
3 3 0
2 0 3
10 2
2 0 1
0 0 2
1 2 0
0 2 0
0 2 2
1 1 2
0 1 2
2 1 0
1 0 0
0 0 0
10 7
0 3 2
1 3 0
3 0 0
2 1 1
1 0 2
2 2 2
1 1 3
0 0 1
2 1 2
0 1 3
10 5
1 1 1
2 2 1
2 2 0
0 2 1
0 0 2
1 2 1
1 2 2
1 1 2
1 2 0
2 0 2
10 5
3 3 2
2 2 2
1 2 2
0 0 0
3 2 2
2 3 0
1 0 3
3 0 2
3 1 0
0 1 1
10 9
1 0 0
0 2 0
2 2 0
2 1 0
2 2 2
1 2 1
1 1 2
1 2 2
1 0 2
2 2 1
10 5
0 0 1
2 0 2
2 1 0
2 2 2
0 0 0
1 1 1
2 1 1
2 0 0
0 1 0
0 2 2
10 7
1 1 1
0 2 2
1 2 1
1 0 2
2 0 2
0 0 1
0 0 2
0 2 0
0 1 2
1 1 0
10 2
2 2 2
2 0 2
1 1 1
0 0 2
0 0 0
1 0 2
2 2 1
1 1 0
0 2 0
2 1 0
10 7
0 0 2
1 1 0
2 2 0
0 2 1
1 0 1
0 0 1
0 2 0
1 0 2
1 2 1
0 1 2
10 5
2 2 1
1 1 1
2 1 0
2 2 0
1 0 0
1 0 2
1 2 0
0 0 2
0 1 1
2 1 1
10 3
1 0 2
2 2 3
0 2 0
0 1 3
2 0 0
2 2 2
0 0 1
1 1 3
2 1 2
3 3 1
10 2
2 1 0
0 1 1
0 1 0
0 1 2
2 1 1
1 0 2
1 2 1
2 0 1
2 1 2
1 1 0
10 6
1 3 1
1 1 1
3 1 2
0 3 2
2 1 0
0 1 0
0 2 2
3 2 1
0 1 2
3 3 3
10 7
3 2 3
0 3 0
1 0 0
1 2 3
2 3 0
1 1 0
1 3 3
3 2 1
1 2 0
0 1 2
10 3
2 0 2
1 1 2
1 3 1
0 1 0
2 1 3
1 3 3
3 3 1
0 3 0
3 2 0
2 3 3
10 5
2 2 0
0 0 3
3 2 2
0 3 2
1 3 0
2 0 3
0 0 1
2 3 2
1 0 0
2 1 0
10 7
0 2 1
3 2 2
2 1 2
0 1 2
0 0 2
3 1 1
3 3 0
1 2 0
3 1 0
0 0 3
10 2
1 1 0
2 0 0
2 2 1
2 0 2
1 0 2
0 0 0
1 2 2
2 2 2
2 0 1
2 1 1
10 8
1 1 0
2 2 1
0 2 2
0 0 0
1 0 1
0 2 1
2 1 0
1 2 0
2 0 1
2 2 2
10 9
1 2 1
1 0 1
1 1 2
2 2 2
0 2 1
0 0 2
1 1 1
2 1 0
0 1 0
2 2 1
10 8
3 2 0
0 0 2
0 2 2
1 1 2
1 0 2
2 3 3
2 2 0
1 3 2
1 1 0
0 1 2
10 5
1 2 0
2 1 1
2 1 2
0 0 1
1 2 1
0 0 2
1 0 0
1 0 1
2 0 0
2 2 1
10 7
1 0 2
0 2 0
0 1 0
2 2 2
0 0 1
0 0 0
1 1 2
0 2 1
1 2 1
2 1 1
10 9
1 0 0
0 3 2
1 3 3
3 0 1
2 1 2
3 0 2
0 2 0
1 0 2
3 3 3
0 1 1
10 4
2 1 2
2 0 0
0 3 3
3 1 1
1 2 1
2 2 2
2 2 1
3 2 0
1 1 0
1 1 1
10 4
1 2 2
2 2 0
2 2 1
0 1 1
0 2 1
1 2 0
2 1 2
2 1 1
0 2 0
1 1 1
10 3
3 3 3
1 2 1
0 1 2
2 3 3
1 1 2
2 3 2
3 0 2
3 0 1
1 2 3
0 3 2
10 9
2 3 3
3 2 3
2 2 3
2 1 0
3 3 2
0 1 0
3 3 0
3 3 3
2 1 3
1 2 3
10 6
0 2 0
2 2 1
2 1 0
0 2 1
0 2 2
1 2 1
1 0 2
1 2 0
0 0 1
0 1 2
10 2
0 2 1
1 0 1
2 1 1
2 0 0
0 0 1
0 0 2
0 1 2
2 0 2
1 2 2
0 1 1
10 2
1 0 3
2 0 3
0 3 2
2 2 1
1 2 1
3 1 3
3 2 0
1 0 2
1 1 3
0 0 2
10 6
3 2 0
0 0 1
0 2 0
2 1 1
2 1 3
1 2 3
1 1 1
0 0 0
3 1 2
2 3 2
10 3
1 2 0
2 0 2
0 0 0
1 0 0
2 1 0
2 2 0
0 1 0
0 0 2
1 1 1
1 1 2
10 7
2 0 0
0 2 1
1 0 1
1 2 3
0 2 2
0 3 2
2 2 3
3 3 2
0 3 0
2 2 0
10 3
0 0 0
0 2 0
2 0 2
1 1 1
1 1 0
2 2 2
1 0 1
2 1 0
0 1 2
1 2 1
10 9
1 2 0
1 0 0
1 1 3
3 0 3
3 0 2
0 1 1
3 1 0
3 3 0
2 2 0
2 3 3
10 7
3 1 3
0 3 3
0 3 0
2 3 0
3 1 0
1 3 2
2 1 0
1 1 2
0 2 2
3 2 1
10 9
0 0 1
2 2 2
1 0 0
2 0 2
0 0 2
2 1 2
0 2 2
2 2 1
1 2 0
1 1 2
10 3
0 1 1
0 0 0
0 2 0
2 1 1
0 0 2
2 2 1
2 2 2
1 2 2
1 1 1
0 1 0
10 8
2 3 3
1 0 2
2 1 2
2 0 2
2 3 1
1 3 2
2 2 0
3 2 0
0 1 2
0 3 3
10 9
0 0 1
3 0 3
2 3 1
0 3 3
3 1 1
2 1 2
2 3 0
0 1 0
0 2 2
2 0 3
10 4
3 0 2
2 0 1
0 0 1
1 2 3
0 0 2
0 2 3
1 2 2
0 1 1
0 1 3
0 2 0
10 7
1 0 0
1 0 2
1 2 1
1 1 1
2 0 0
2 2 2
1 0 1
0 1 2
2 2 1
2 0 2
10 5
2 2 3
2 1 2
0 1 3
1 3 0
0 3 2
0 0 0
3 1 0
0 2 2
3 3 0
1 0 1
10 3
0 3 0
2 3 0
2 1 2
3 0 0
1 1 0
0 0 3
3 0 2
3 1 2
3 3 1
3 2 0
10 8
0 2 2
1 1 0
0 2 0
2 2 1
1 0 1
2 1 2
0 1 0
2 0 2
2 1 0
2 0 0
10 6
2 2 2
0 3 1
2 3 3
1 3 0
2 3 2
3 1 2
3 2 1
0 1 0
2 1 3
1 0 1
10 4
2 0 2
2 1 0
2 1 2
0 0 2
1 2 2
2 2 0
1 0 0
1 1 1
1 0 1
1 2 0
10 3
0 1 2
0 2 1
1 2 0
3 1 3
0 1 3
2 2 0
0 2 3
0 0 2
0 2 2
0 0 1
10 2
0 2 2
1 2 1
1 2 2
2 1 2
2 2 2
0 0 2
0 1 1
2 2 1
0 0 1
1 0 1
10 9
2 0 1
1 1 1
0 1 1
0 0 0
0 1 0
1 1 2
2 2 0
0 2 0
1 1 0
0 0 2
10 6
2 0 2
3 3 1
3 2 3
0 3 0
1 0 3
1 0 1
3 0 2
2 2 3
1 3 0
3 1 1
10 6
2 0 0
1 1 1
0 1 1
1 1 0
1 0 0
0 0 2
1 2 2
0 0 0
0 2 0
2 0 1
10 6
1 0 1
0 1 2
1 0 2
2 2 0
0 1 1
2 0 0
1 2 0
0 2 1
1 2 1
1 1 0
10 6
1 0 1
1 0 3
0 2 3
3 1 0
2 2 2
2 2 1
2 3 2
1 1 0
3 0 1
2 3 0
10 9
0 1 1
0 1 0
0 2 0
0 0 1
2 0 1
1 0 1
1 2 2
2 2 0
0 1 2
2 0 0
10 5
1 1 2
3 1 2
0 2 0
1 0 2
0 2 2
1 1 0
1 0 0
3 0 0
0 0 1
3 1 0
10 8
2 3 0
0 1 1
3 3 0
2 3 1
3 1 2
3 0 2
1 1 2
2 0 2
2 0 3
1 1 1
10 6
1 0 0
1 1 1
2 0 1
0 1 1
0 2 0
0 0 2
1 2 2
0 1 2
0 0 1
2 2 1
10 6
0 1 1
3 3 1
2 0 3
3 1 1
2 2 3
3 0 3
2 0 2
1 0 2
1 1 2
1 0 1
10 6
2 3 0
3 1 3
1 3 2
2 2 0
3 2 0
0 0 0
2 2 2
3 3 0
2 0 1
2 0 3
10 3
1 3 0
2 1 2
0 1 1
0 0 0
3 0 3
2 0 2
3 1 2
1 3 2
2 1 3
2 3 2
10 3
0 1 0
2 2 1
2 0 2
1 2 1
2 2 2
2 1 1
1 1 2
1 0 2
0 0 0
0 2 1
10 2
1 0 3
0 2 1
1 3 3
3 1 0
0 3 1
3 2 2
1 2 2
0 3 0
1 1 3
2 3 2
10 6
2 0 1
2 1 0
0 0 0
0 2 0
1 1 0
2 2 2
0 1 2
1 0 1
0 0 1
0 1 1
10 4
0 2 0
0 1 0
0 3 1
1 2 3
1 2 2
2 1 3
2 1 0
2 0 1
2 2 0
0 2 3
10 9
1 0 0
2 0 3
3 0 0
2 1 1
0 1 3
2 0 2
0 3 2
0 3 3
0 2 2
1 3 0
10 6
0 1 2
3 3 3
1 3 1
0 0 1
1 1 2
1 0 1
3 3 1
0 0 2
0 1 3
1 2 0
10 5
1 2 2
1 2 0
1 1 0
0 2 1
1 0 0
2 2 1
2 0 2
0 1 2
0 1 1
0 2 0
10 7
3 2 1
0 1 3
1 0 2
0 3 1
2 3 1
3 3 1
1 3 3
1 2 2
1 1 1
0 2 3
10 7
1 3 1
3 0 0
0 0 1
2 0 1
2 3 2
0 1 3
1 1 2
1 1 0
1 1 3
3 3 2
10 7
0 1 3
1 3 3
2 3 2
0 0 2
3 0 3
1 2 2
3 1 2
2 3 1
2 1 3
2 2 0
10 4
2 1 0
2 1 1
3 3 3
3 1 2
2 0 3
1 0 3
2 2 1
1 1 0
0 2 2
3 3 0
10 9
2 1 3
2 2 0
1 2 1
3 2 2
3 1 2
1 3 0
0 1 1
2 0 2
2 1 1
2 2 2
10 4
1 1 1
2 2 2
2 0 1
0 0 2
2 2 1
0 0 0
2 0 2
1 2 1
0 2 1
1 1 0
10 9
2 2 1
0 2 2
0 0 0
0 2 1
1 2 1
1 1 0
2 1 0
1 1 2
0 0 1
2 1 1
10 2
2 0 3
0 0 1
3 1 3
0 2 2
0 3 0
3 2 2
3 3 2
3 0 3
2 3 0
0 0 3
10 7
0 2 2
0 1 1
0 2 1
1 2 1
2 2 0
0 1 0
1 1 1
0 0 2
1 1 0
0 1 2
10 8
0 1 2
2 2 3
3 0 0
2 1 2
0 1 1
1 0 0
0 3 1
2 3 2
1 1 3
0 2 3
10 4
3 2 2
0 3 3
2 0 0
1 0 3
2 3 0
0 2 0
3 0 3
0 1 3
3 3 1
2 1 0
10 9
2 1 2
1 0 1
2 2 1
0 2 1
0 0 2
0 0 0
1 1 1
0 2 2
2 2 2
2 1 0
10 4
1 2 2
1 2 0
1 0 0
0 0 0
2 1 0
0 2 0
0 2 1
2 0 2
1 1 2
0 0 2
10 2
2 1 2
0 1 0
1 2 2
0 1 1
0 0 2
0 0 1
1 1 2
1 2 1
2 1 1
2 2 1
10 2
0 0 0
2 1 0
3 3 1
3 2 3
2 2 2
0 2 2
3 0 1
0 0 2
1 2 3
0 1 1
10 4
3 0 1
2 1 2
0 3 3
1 3 3
3 0 3
1 2 2
1 3 1
3 1 1
1 0 0
2 2 0
10 5
2 2 0
0 3 1
1 3 2
1 2 3
1 0 2
1 0 1
3 3 3
1 1 2
3 2 2
3 3 2
10 2
0 3 2
1 0 0
0 1 2
0 0 0
0 2 3
1 3 3
2 2 3
1 1 2
1 0 1
2 0 2
10 4
2 0 0
0 1 2
0 2 0
1 1 0
1 0 1
0 0 1
2 1 2
0 1 0
0 0 2
0 0 0
10 9
2 2 1
0 2 0
0 0 1
0 3 3
0 0 0
0 1 0
1 0 2
2 1 0
3 2 0
1 3 1
10 9
0 1 3
0 0 2
2 2 0
1 3 2
2 3 2
3 2 0
3 1 3
2 3 3
2 0 3
0 3 1
10 8
0 3 0
2 1 1
3 0 1
3 2 2
3 1 2
3 2 1
0 3 1
1 0 3
3 2 0
3 3 1
10 6
0 3 3
3 1 1
2 0 2
2 3 2
0 2 3
1 1 3
0 1 3
1 0 1
3 1 3
0 1 1
10 2
1 0 3
0 0 2
2 3 1
0 2 2
3 2 3
1 0 0
2 3 0
2 0 2
3 0 1
0 0 1
10 6
0 2 0
2 2 0
1 2 1
0 1 1
1 1 2
1 0 0
2 2 2
2 0 2
2 1 1
0 0 2
10 5
3 3 3
0 1 2
2 3 2
1 2 3
0 1 0
3 0 1
2 0 3
2 3 0
3 3 0
0 0 0
10 3
0 2 1
2 2 3
3 2 1
2 3 3
0 0 3
1 0 1
3 1 0
3 3 1
1 3 0
1 3 1
10 6
0 2 0
0 1 2
1 2 2
2 0 0
1 0 1
0 1 1
2 1 2
1 2 1
2 0 2
2 2 1
10 4
0 1 0
0 0 0
1 1 1
2 0 2
2 2 1
2 1 0
2 1 1
1 0 1
1 1 0
1 2 2
10 2
3 2 2
3 0 3
1 1 3
0 0 3
2 0 0
0 3 3
1 2 3
2 0 2
0 0 1
2 3 3
10 7
3 0 3
0 0 1
0 0 3
0 1 3
3 1 1
2 2 3
2 2 0
3 2 1
2 2 2
3 3 2
10 6
2 1 0
0 1 0
1 3 1
2 0 0
3 0 1
3 3 1
1 2 3
3 2 0
3 3 3
1 3 0
10 3
2 2 0
2 1 3
3 3 1
0 3 0
2 3 2
3 2 1
1 0 2
3 1 1
0 1 3
3 0 2
10 9
2 2 0
1 1 1
2 2 1
0 0 0
0 2 2
1 1 2
2 0 1
0 0 2
1 0 1
1 2 2
10 5
3 3 3
2 1 3
1 2 1
0 1 0
0 3 2
2 1 1
2 2 0
0 0 3
1 1 3
0 3 0
10 5
2 0 2
2 2 2
2 2 0
1 1 2
1 2 2
0 2 1
0 1 1
1 1 0
2 1 2
2 1 0
10 3
2 1 1
1 2 1
2 0 1
2 1 2
2 3 2
0 2 0
2 0 2
1 0 0
2 0 3
1 1 2
10 7
0 0 2
2 1 1
2 2 2
1 2 2
0 0 1
2 0 1
1 0 0
2 2 1
1 1 0
2 2 0
10 4
2 0 1
1 2 1
1 1 0
2 2 2
1 2 2
1 1 2
0 0 0
0 1 2
1 1 1
1 2 0
10 5
2 1 0
0 0 0
2 0 0
0 1 0
1 1 0
1 2 2
0 0 2
2 2 1
0 2 2
1 2 1
10 4
2 3 2
2 0 0
2 1 2
3 2 1
0 1 1
0 3 1
2 2 0
3 3 0
3 1 3
1 0 1
10 3
0 1 1
1 2 1
0 2 2
2 1 0
2 2 2
1 0 0
0 2 1
1 0 1
2 1 2
1 1 2
10 9
1 0 1
2 2 1
1 1 0
2 2 2
1 1 1
2 1 0
1 2 1
0 1 2
2 1 1
2 0 0
10 4
2 0 2
1 2 2
0 1 0
2 1 1
2 2 0
1 1 2
0 1 1
0 2 1
1 2 0
1 0 1
10 4
2 1 2
0 3 2
0 3 3
3 3 0
2 3 0
0 1 0
1 0 0
1 1 0
0 3 1
2 2 3
10 7
0 1 1
1 2 1
0 1 0
2 0 0
1 1 0
0 2 1
2 2 1
0 2 2
1 2 2
1 0 0
10 4
0 1 2
0 1 1
2 0 0
0 2 0
1 1 2
1 2 2
0 0 0
1 0 1
1 2 1
0 1 0
10 8
0 2 3
0 3 1
2 0 0
3 3 0
0 3 2
3 1 3
3 2 1
1 0 2
3 3 3
0 1 3
10 3
2 1 0
1 0 2
1 2 1
0 1 1
2 2 2
2 0 2
0 1 2
1 0 0
2 1 1
2 0 0
10 6
2 1 0
2 1 1
1 0 1
2 1 2
1 1 0
1 1 2
0 1 1
1 0 0
2 2 1
1 0 2
10 2
1 2 1
0 0 3
1 0 2
3 0 0
2 0 3
2 0 0
1 0 3
1 3 2
2 1 0
3 1 1
10 3
0 0 2
1 3 1
0 1 0
0 0 3
2 2 3
3 1 3
3 2 2
1 1 3
1 0 1
1 1 1
10 2
3 3 1
2 3 3
1 3 1
3 0 2
3 0 0
1 1 2
1 1 1
3 1 3
2 1 3
1 3 0
10 4
1 1 2
0 2 0
0 1 0
1 0 1
0 2 1
0 0 1
1 1 1
2 0 1
2 2 2
2 0 2
10 6
3 2 1
0 1 2
3 2 0
0 1 3
2 0 2
1 3 1
1 2 3
0 3 2
3 3 2
0 3 1
10 7
2 1 3
2 0 1
0 0 2
3 3 1
1 1 3
1 2 3
1 0 0
0 3 0
3 2 2
0 1 1
10 6
2 2 1
1 0 2
1 0 1
1 1 2
2 0 2
2 0 1
2 1 2
1 1 0
1 2 0
1 0 0
10 6
0 1 2
0 2 1
0 1 1
2 1 1
2 2 2
2 0 1
0 0 0
1 0 2
2 1 0
0 2 2
10 8
1 0 0
2 2 3
2 1 0
3 0 3
2 3 3
1 1 0
3 3 2
1 2 3
0 0 2
2 3 0
10 2
3 0 0
3 1 1
0 2 0
2 1 3
0 0 0
3 1 0
3 0 2
3 2 1
0 2 2
2 2 3
10 7
1 2 2
1 0 0
1 0 2
0 2 1
0 1 0
0 0 1
1 0 1
2 1 2
2 2 0
2 1 0
10 6
0 0 2
1 1 1
0 2 0
1 2 0
1 0 2
0 1 1
1 1 2
0 1 0
2 1 0
2 2 0
10 2
2 1 0
1 2 0
2 0 2
2 0 1
1 1 0
1 0 0
1 0 1
2 2 1
1 1 1
1 2 1
10 9
0 0 1
0 1 0
1 0 1
2 1 2
1 2 0
1 1 2
0 2 2
0 0 2
2 2 1
1 2 1
10 4
1 2 0
2 0 2
1 1 2
2 2 1
2 2 0
1 1 1
1 0 0
0 0 0
0 2 2
2 1 2
10 3
2 2 1
3 0 0
3 3 2
0 1 3
2 3 0
3 1 2
0 1 1
2 3 3
0 2 1
2 2 0
10 9
1 1 2
0 0 1
2 2 2
1 2 1
1 0 2
0 1 0
2 1 0
0 0 2
0 0 0
1 0 0
10 8
0 2 3
0 1 2
0 3 1
1 1 0
0 0 2
2 3 0
1 3 3
0 3 2
1 0 1
3 1 2
10 2
1 1 0
2 0 1
1 2 0
2 1 0
2 1 1
1 1 2
1 2 1
2 1 2
2 2 0
1 0 0
10 3
2 1 1
2 2 0
0 2 0
1 1 1
0 2 1
1 2 0
2 1 2
0 1 1
1 1 0
1 0 2
10 4
2 1 1
0 0 0
2 2 0
2 1 0
1 0 2
0 1 2
2 0 1
1 2 0
0 1 0
1 1 2
10 2
1 0 0
2 0 3
3 1 2
2 0 1
3 0 2
0 0 1
3 1 0
3 2 0
1 1 1
1 2 1
10 5
0 0 2
2 0 1
1 1 2
1 0 2
1 2 2
0 2 2
2 2 0
0 2 0
1 0 0
2 0 2
10 9
1 2 0
0 2 1
1 0 0
1 1 2
0 1 2
2 0 0
2 1 0
2 0 2
2 2 1
0 0 0
10 9
0 1 1
2 0 1
1 0 2
1 1 1
1 2 1
2 2 0
1 2 2
0 1 2
1 0 1
2 1 0
10 4
0 1 2
3 1 0
2 3 3
2 1 0
1 0 2
2 2 1
2 3 1
1 3 2
0 1 3
3 0 1
10 8
1 3 3
1 1 1
0 1 1
3 2 3
1 2 1
0 0 0
1 1 0
0 2 3
2 2 3
3 2 1
10 7
1 0 2
2 2 0
1 1 2
2 2 2
2 2 1
1 2 1
0 1 1
2 1 1
0 2 0
0 0 0
10 4
1 3 0
0 1 1
2 3 0
3 1 0
1 1 2
0 0 2
1 1 0
3 2 2
1 2 1
3 1 2
10 7
2 3 1
1 3 1
2 3 3
0 0 3
1 2 1
0 3 3
1 1 0
2 0 1
1 3 2
2 1 1
10 8
2 2 1
1 1 0
3 1 3
2 2 3
3 1 1
0 1 2
1 3 3
2 3 1
3 0 2
3 3 0
10 4
1 1 1
2 0 1
0 0 1
2 2 0
1 1 0
1 1 2
0 0 0
0 2 0
2 0 0
2 2 1
10 9
2 0 1
2 0 0
0 1 1
1 1 1
0 2 1
2 1 2
2 2 1
2 1 1
2 0 2
2 2 0
10 3
3 0 0
1 3 1
2 1 3
2 3 3
1 0 2
0 1 0
3 1 0
2 2 2
0 2 1
1 3 3
10 8
2 2 1
1 0 2
2 1 1
1 1 0
1 1 1
2 0 0
0 1 2
0 0 2
1 2 0
1 0 0
10 8
1 1 0
2 0 1
1 1 2
1 0 2
2 2 1
2 0 0
1 2 1
1 1 1
0 0 2
1 2 0
10 3
2 2 0
1 0 1
1 1 2
2 1 0
0 1 2
0 0 0
0 2 2
2 0 0
2 0 2
1 0 0
10 4
3 2 0
2 2 3
3 1 2
1 2 1
1 3 2
3 1 3
0 3 3
1 2 2
0 2 0
3 3 0
10 3
1 2 1
2 1 0
1 0 2
1 2 0
0 2 1
2 2 0
2 1 1
2 2 2
0 2 2
1 1 1
10 2
0 0 2
3 0 3
1 2 3
2 0 1
3 1 1
2 1 2
2 0 3
1 1 0
2 2 2
1 0 3
10 3
3 3 0
1 1 2
1 3 3
2 0 1
1 2 0
0 3 0
1 2 3
3 0 2
2 1 2
0 3 1
10 9
3 1 1
1 3 3
0 2 2
2 1 0
3 0 2
3 2 3
2 3 3
3 1 2
1 2 1
1 1 1
10 4
1 1 1
1 2 0
0 1 1
0 0 0
2 0 0
2 1 0
2 2 2
2 1 1
1 0 0
2 1 2
10 6
1 2 1
0 0 2
1 0 0
2 2 2
0 0 0
0 2 2
2 0 1
1 0 2
2 0 2
1 1 0
10 9
0 0 3
3 0 3
3 0 0
2 1 0
1 3 1
0 2 0
3 1 2
3 3 3
0 2 1
0 1 2
10 7
3 0 3
1 3 3
3 3 2
3 2 2
1 0 0
3 3 1
0 0 1
0 2 1
3 0 2
0 1 3
10 2
1 2 3
1 0 3
2 3 3
0 3 0
3 2 3
0 1 3
1 3 1
0 0 2
1 2 0
3 2 2
10 8
3 3 3
2 3 3
2 1 0
3 1 1
2 0 0
0 0 0
3 3 1
0 3 2
1 0 2
2 2 0
10 6
0 0 3
0 3 3
2 1 2
0 2 3
1 2 2
3 2 0
3 1 0
1 1 2
3 2 2
2 0 3
10 3
2 0 2
3 1 2
3 2 1
1 0 1
0 1 3
0 1 0
1 1 1
0 0 0
3 0 3
3 2 2
10 9
1 3 3
2 1 3
0 0 2
1 3 1
3 0 1
0 3 2
0 2 2
1 0 2
1 0 1
3 0 0
10 5
0 0 1
2 1 1
0 0 2
0 2 2
2 2 1
1 1 1
1 2 0
2 1 0
0 0 0
0 1 2
10 7
0 1 0
2 2 0
0 0 0
2 0 1
1 0 0
2 0 0
1 2 2
1 1 2
1 0 1
0 2 2
10 9
1 1 2
1 2 0
1 2 2
2 2 2
2 1 0
1 0 1
2 0 0
0 2 0
0 1 0
0 2 2
10 2
2 0 3
0 2 1
3 3 3
2 1 3
3 3 2
2 1 1
1 1 3
2 2 1
0 0 0
2 3 3
10 7
1 0 2
0 2 0
1 2 2
1 0 0
2 0 1
1 2 1
2 1 1
1 0 1
2 0 0
0 1 0
10 6
1 2 2
0 0 2
1 2 1
1 0 1
2 0 2
0 1 0
2 2 1
1 2 0
0 1 1
2 0 1
10 3
0 2 0
1 1 1
0 2 2
1 2 0
1 0 3
2 2 1
2 0 2
3 2 2
2 1 0
3 3 1
10 8
3 0 3
2 0 3
0 3 0
3 2 3
2 3 3
0 0 3
3 1 2
0 2 3
3 3 0
0 1 0
10 9
1 1 0
1 1 1
2 0 2
2 2 0
2 0 1
0 1 2
0 1 0
1 2 1
2 0 0
2 2 1
10 9
0 0 2
0 0 1
0 2 0
0 1 1
1 1 1
2 2 1
1 2 0
2 0 1
1 2 1
1 2 2
10 3
0 0 3
3 1 3
2 2 1
0 2 0
1 2 0
3 3 0
1 1 3
0 2 1
3 2 2
3 1 1
10 4
1 0 0
0 0 2
0 1 1
0 1 0
1 0 1
2 1 2
0 0 0
1 2 1
2 1 1
0 2 2
10 9
2 2 1
2 1 2
2 1 1
2 0 1
1 1 0
2 2 2
0 2 0
2 0 0
2 2 0
2 1 0
10 5
1 0 2
2 1 1
0 1 0
1 0 1
0 0 0
1 1 0
2 2 2
0 1 1
2 0 2
2 1 2
10 7
2 1 0
0 1 0
0 2 0
0 0 0
2 0 2
1 1 1
1 0 2
1 2 0
2 1 1
0 0 2
10 9
0 0 1
2 2 1
2 1 1
1 0 2
1 2 0
0 1 1
0 2 1
2 0 2
1 2 1
2 0 0
10 4
1 2 1
1 0 0
1 0 2
2 2 0
0 0 0
2 1 2
0 1 2
1 1 2
0 2 2
0 1 1
10 5
0 0 2
0 2 1
1 2 1
2 1 2
2 1 1
0 1 1
2 1 0
1 1 1
2 0 0
0 2 0
10 8
2 1 2
0 2 0
1 0 0
1 1 0
2 1 0
2 2 1
0 0 1
1 2 1
1 2 0
2 0 1
10 3
3 2 3
2 1 1
3 1 3
2 2 3
1 2 2
1 3 3
1 3 1
3 2 0
1 1 2
2 0 1
10 7
1 0 2
1 1 1
2 2 2
1 0 0
2 1 1
0 1 2
1 0 1
2 1 2
2 2 1
1 1 0
10 6
1 1 2
3 1 0
0 1 1
2 2 3
2 2 2
2 1 0
3 2 3
0 2 3
0 1 3
3 2 2
10 2
0 0 2
1 0 1
0 2 0
2 2 1
1 2 2
0 0 1
2 1 2
1 2 1
2 2 0
1 0 2
10 8
1 0 1
1 2 2
2 3 1
1 1 3
3 1 3
3 2 3
0 2 1
3 0 0
3 0 2
2 2 2
10 2
0 0 0
2 2 0
1 0 0
2 0 0
0 2 2
1 2 1
0 2 0
1 0 2
1 1 2
0 2 1
10 5
1 0 1
1 0 0
0 2 1
0 0 2
2 1 2
0 2 0
0 1 0
2 1 1
2 2 0
1 0 2
10 3
1 0 0
2 0 2
0 1 2
0 1 1
0 2 2
2 2 1
1 2 0
1 0 1
0 1 0
1 1 0
10 4
0 2 2
1 1 2
1 0 0
0 2 0
2 1 0
1 1 0
2 2 1
0 0 0
1 0 2
0 1 0
10 7
1 1 1
2 0 0
1 1 2
0 1 2
0 2 1
1 2 1
1 2 0
2 0 2
0 2 0
0 1 0
10 8
3 1 1
2 2 3
2 2 0
0 3 2
1 0 1
3 1 0
0 0 3
1 1 1
2 0 3
0 2 1
10 8
2 2 1
0 2 1
0 2 2
0 1 2
1 1 0
2 2 2
1 0 2
0 0 1
1 0 0
1 1 2
10 5
1 0 2
1 2 1
2 1 0
0 2 0
2 2 1
0 1 1
0 2 2
2 1 2
0 1 0
0 1 2
10 2
0 2 1
1 2 2
1 2 1
2 1 1
0 0 0
0 0 1
2 2 2
1 1 1
0 1 0
0 1 1
10 8
1 0 3
0 1 3
2 0 1
3 1 0
0 0 1
0 2 0
2 2 1
3 1 2
1 1 2
0 0 0
10 2
2 3 0
1 2 3
3 1 2
3 3 2
2 1 0
2 3 1
0 1 2
1 2 2
1 2 1
2 1 3
10 9
1 1 2
2 1 2
0 2 0
2 0 2
0 1 1
2 2 2
0 1 2
0 0 2
2 0 1
0 0 0
10 4
0 1 1
0 2 1
0 2 0
2 0 1
2 1 1
0 1 0
1 2 2
2 0 0
0 0 2
1 0 1
10 3
2 0 1
2 0 2
2 0 0
1 2 1
1 2 2
1 0 1
1 0 2
0 2 1
1 1 2
2 1 1
10 7
2 1 0
1 0 1
1 0 0
2 1 2
0 2 0
0 0 0
0 0 1
2 0 2
1 2 1
2 2 0
10 7
1 0 0
1 2 1
1 2 2
0 0 1
2 0 1
2 2 1
0 2 2
1 0 2
1 1 0
1 1 1
10 3
1 2 1
0 2 1
1 0 1
0 1 2
0 0 2
1 2 0
2 2 2
0 1 1
2 2 0
1 0 2
10 4
2 2 0
1 2 3
1 2 0
1 3 3
2 2 1
0 3 2
1 3 2
2 0 2
2 1 2
2 2 3
10 7
3 1 3
2 3 2
1 2 3
1 0 1
2 2 0
3 2 2
0 2 3
2 1 2
0 1 3
3 2 3
10 7
1 2 0
2 2 2
1 0 0
1 2 1
2 1 0
1 0 2
0 0 2
2 0 0
0 1 0
0 1 2
10 5
3 0 3
0 3 1
1 0 1
3 1 0
1 2 1
2 3 0
1 2 3
3 0 2
0 3 2
1 3 0
10 9
0 1 2
1 2 0
0 0 0
0 0 2
2 1 2
1 2 1
0 2 2
1 0 2
2 1 1
1 1 0
10 7
1 2 2
0 2 0
2 2 1
1 1 2
0 1 1
0 2 1
1 0 0
0 2 2
2 1 2
0 0 2
10 6
0 1 1
0 3 0
2 2 3
2 0 2
3 1 3
2 3 0
1 0 1
0 1 3
0 1 2
0 0 1
10 2
1 0 1
2 1 2
2 2 0
1 2 1
2 1 1
1 2 0
0 0 0
0 1 2
2 0 2
2 0 1
10 7
3 2 2
1 0 0
0 3 1
2 1 1
2 0 3
0 1 2
2 2 1
1 2 2
0 1 0
1 2 1
10 9
0 2 1
3 0 3
0 2 3
3 3 0
0 1 1
0 1 3
0 3 1
2 0 2
0 3 3
1 3 0
10 5
0 3 0
0 0 1
2 3 2
0 2 1
2 1 2
0 2 3
3 0 2
1 1 2
1 1 1
0 1 0
10 2
1 0 0
1 1 0
1 2 1
0 1 2
2 0 1
2 2 2
0 2 1
2 0 2
0 0 2
2 0 0
10 6
0 1 0
2 0 0
1 2 1
2 1 0
1 0 2
0 0 1
1 1 2
0 0 2
2 2 2
0 1 1
10 2
0 0 0
0 2 1
0 1 0
1 2 1
2 2 1
1 2 0
2 1 2
1 2 2
2 2 2
2 0 2
10 5
0 1 0
2 0 1
2 1 0
1 0 2
0 2 2
2 1 1
1 1 0
1 2 1
0 2 0
0 1 1
10 5
3 3 3
3 0 3
2 0 0
1 1 1
0 2 0
0 0 2
3 2 2
3 2 0
2 2 1
3 0 0
10 4
2 0 1
2 2 2
0 1 0
3 0 2
2 2 1
2 1 1
2 2 3
3 2 0
1 2 0
3 2 1
10 2
0 3 3
1 0 2
2 1 3
3 2 1
2 0 2
2 2 2
0 3 1
0 1 1
3 3 2
1 2 3
10 7
2 2 1
0 1 2
0 1 0
0 2 2
0 0 1
1 0 0
0 2 0
0 2 1
2 2 0
0 0 0
10 3
2 2 2
0 1 0
0 0 1
2 1 1
1 2 1
1 2 2
1 1 1
1 1 0
0 0 0
1 0 1
10 4
2 1 1
2 2 0
0 0 2
2 2 2
1 0 2
0 0 1
1 1 0
1 2 0
2 0 0
0 1 0
10 4
2 2 1
1 2 1
1 2 0
2 0 1
2 1 0
0 0 0
1 2 2
2 0 2
0 0 2
0 1 1
10 6
3 0 3
0 2 3
1 3 0
2 3 1
3 3 3
2 2 0
0 1 1
1 3 3
2 1 2
1 1 3
10 6
2 1 2
1 0 0
1 3 1
2 1 1
2 2 0
1 3 2
2 3 2
3 0 1
3 0 2
0 3 2
10 7
0 1 3
2 0 3
3 0 2
3 3 2
0 1 2
1 2 0
0 3 2
3 2 0
2 3 3
2 1 2
10 7
3 3 0
2 0 1
1 3 0
2 0 2
0 2 2
3 2 3
2 2 1
2 2 0
2 0 0
0 1 1
10 9
2 1 0
0 2 2
1 2 2
0 0 0
2 0 1
0 1 2
2 0 2
0 2 0
2 0 0
1 1 1
10 4
0 2 0
0 2 1
2 0 2
2 1 0
0 1 2
0 0 2
2 2 1
1 1 2
0 0 1
2 0 1
10 6
2 0 2
2 1 1
1 0 0
2 2 0
1 2 2
1 0 2
0 1 1
2 0 0
1 2 0
2 1 0
10 7
0 1 2
3 0 3
1 3 0
2 1 0
2 2 1
2 2 2
2 3 0
1 2 2
0 3 0
0 3 3
10 5
2 2 1
0 0 1
2 0 1
2 1 0
2 0 0
2 2 0
0 0 0
1 2 1
1 0 0
1 1 0
10 3
1 3 0
2 3 0
3 0 2
2 2 0
2 2 3
3 2 0
2 0 1
2 1 2
2 3 2
1 1 3
10 7
2 1 1
0 0 2
1 1 2
0 2 0
2 2 0
1 2 2
2 0 1
0 1 2
2 1 0
0 2 2
10 9
2 0 3
0 0 2
1 3 3
3 0 1
2 1 0
1 2 1
2 0 0
0 1 2
3 2 1
2 3 2
10 2
0 0 1
2 0 1
2 2 2
0 0 0
2 2 1
0 1 0
1 0 2
2 2 0
1 2 1
0 2 0
10 4
0 0 1
0 0 2
2 0 1
1 0 1
0 1 2
2 0 0
0 2 1
0 1 0
0 2 0
2 2 0
10 3
3 1 2
0 2 2
0 0 3
1 1 0
1 1 2
1 3 0
2 1 1
2 2 1
2 3 3
3 3 3
10 6
2 0 2
0 0 2
0 1 0
0 1 2
1 0 0
1 0 2
2 2 2
1 2 1
0 2 0
1 2 0
10 3
1 1 2
0 0 2
1 0 2
1 0 1
1 2 2
2 0 2
2 1 0
1 1 0
2 1 2
2 0 0
10 6
0 0 0
0 0 1
1 1 2
0 1 2
2 1 1
1 1 0
1 2 2
2 0 0
0 1 0
1 2 0
10 4
0 0 2
2 1 2
0 2 2
2 2 3
0 0 1
3 1 0
0 2 3
1 3 2
3 0 1
1 2 0
10 8
2 1 1
0 1 0
0 0 0
1 1 2
2 1 2
1 0 2
0 0 1
2 0 2
0 1 2
2 2 2
10 7
3 1 3
2 0 3
2 2 1
0 0 2
3 3 2
1 0 0
3 3 0
0 3 1
1 1 3
3 1 1
10 2
1 0 1
0 2 1
3 3 3
3 1 0
1 2 3
0 2 0
3 1 2
3 2 0
3 0 1
2 2 0
10 5
0 1 2
1 0 3
1 2 0
0 2 0
2 2 2
3 0 3
1 1 1
1 0 0
2 0 2
1 2 2
10 6
0 2 1
2 3 2
2 3 0
3 0 3
1 3 3
3 2 2
2 0 3
1 2 1
3 3 3
2 2 3
10 9
3 2 2
1 0 3
2 3 0
2 0 0
1 2 3
3 1 3
3 1 1
0 0 3
2 2 3
2 2 2
10 7
3 2 3
1 3 1
1 3 2
0 2 1
3 2 1
2 1 2
2 1 0
3 3 3
3 0 0
3 3 1
10 6
0 1 1
1 2 2
2 0 1
1 1 1
0 2 1
2 0 2
0 0 1
2 1 2
2 0 0
2 1 1
10 9
0 1 1
0 1 2
2 1 2
1 2 0
1 0 0
0 1 0
1 1 1
1 0 2
1 2 2
0 0 0
10 2
1 2 0
0 0 1
0 1 2
1 0 0
1 0 1
0 0 0
0 0 2
2 2 0
2 0 2
1 0 2
10 3
1 3 2
1 0 0
0 3 3
2 3 1
1 1 2
0 3 2
1 1 3
3 2 0
3 3 0
0 2 3
10 5
2 1 2
1 2 2
0 1 3
2 0 1
1 3 2
3 2 1
0 2 2
2 3 1
0 0 3
3 3 1
10 2
0 2 2
1 2 1
2 1 1
1 1 1
1 0 2
1 0 1
1 2 0
2 2 1
0 0 0
0 0 2
10 8
0 3 2
2 0 3
1 3 3
3 3 1
1 3 1
2 3 0
3 0 2
0 2 2
3 1 3
1 0 2
10 9
0 0 2
2 2 0
0 2 0
2 1 0
1 2 1
0 0 0
1 2 0
2 0 1
1 1 0
2 2 1
10 2
3 3 3
2 2 2
1 1 1
1 3 1
2 0 3
0 3 0
3 2 3
0 2 1
3 0 2
0 3 1
10 8
2 2 2
0 3 3
2 3 1
1 2 3
3 1 3
1 3 0
2 0 0
3 0 1
1 0 0
0 3 1
10 2
1 3 3
3 3 2
3 1 2
2 3 2
3 0 3
1 3 0
0 0 3
2 2 2
0 0 0
1 1 2
10 2
2 1 1
1 0 3
1 1 1
0 0 1
0 2 0
0 2 3
0 2 1
2 2 2
3 1 2
1 3 1
10 8
0 3 2
3 0 3
2 0 1
2 1 0
0 2 1
2 0 2
1 3 0
2 2 2
1 2 3
0 3 0
10 9
0 2 0
2 2 0
2 1 1
0 1 1
1 0 2
1 2 1
2 2 1
2 1 0
0 0 2
0 0 1
10 8
1 3 2
3 0 0
0 2 0
2 0 2
1 2 1
0 0 3
0 0 1
2 3 1
3 0 1
1 0 0
10 4
0 0 2
0 0 0
1 0 1
2 0 1
1 2 1
0 2 2
1 1 0
1 0 2
1 2 0
2 1 2
10 4
3 3 2
0 0 0
0 2 1
2 0 1
1 1 1
3 0 0
1 3 0
1 3 2
3 2 2
1 1 2
10 8
2 2 1
1 0 0
2 0 0
1 1 1
1 0 2
2 1 0
1 2 0
2 0 2
2 0 1
0 2 0
10 8
2 0 3
0 0 1
1 2 0
2 2 1
2 3 0
3 1 1
2 2 0
1 2 1
0 0 3
0 3 1
10 5
0 2 1
0 2 2
2 1 1
2 0 1
2 0 0
2 2 1
2 0 2
1 1 1
0 0 2
2 2 2
10 5
1 2 3
2 2 2
0 2 1
0 1 3
2 0 2
2 2 3
2 1 3
2 0 3
3 3 1
3 2 3
10 2
2 2 2
1 0 0
1 0 1
1 1 1
1 2 2
2 0 2
0 1 0
1 0 2
2 1 0
0 1 2
10 8
2 0 0
2 2 1
1 0 2
1 1 1
1 0 0
0 1 1
1 2 0
1 2 2
2 1 0
2 1 1
10 9
0 0 3
0 2 1
1 0 3
2 0 0
1 1 1
3 3 0
1 3 2
0 1 2
0 1 1
3 3 3
10 3
0 0 1
1 0 3
2 1 2
1 3 2
0 3 2
2 3 0
1 0 0
3 1 0
1 1 0
2 0 2
10 6
2 2 2
3 0 3
2 1 0
1 0 0
2 3 3
3 2 3
2 0 2
0 2 1
3 3 0
1 1 1
10 9
1 2 0
2 2 0
0 0 2
0 1 0
2 2 1
1 0 1
2 1 1
2 0 1
0 0 1
1 0 0
10 7
0 3 0
3 3 3
1 0 3
0 0 1
0 2 1
0 2 2
3 1 0
0 1 0
2 1 3
0 1 1
10 5
2 2 3
1 2 0
0 1 1
2 0 2
0 3 2
0 0 2
3 1 2
0 3 3
0 0 3
3 1 1
10 3
1 2 1
0 1 3
2 1 2
2 3 0
3 0 2
2 2 0
2 3 2
0 2 0
3 1 2
3 3 2
10 3
2 1 2
1 0 1
0 1 0
1 1 1
1 1 0
3 1 2
2 3 0
0 3 2
2 0 1
3 1 3
10 4
2 2 0
0 2 2
1 1 1
2 0 0
1 2 1
0 1 2
0 1 0
1 1 0
2 0 1
0 0 0
10 5
3 0 3
1 1 1
2 3 0
1 1 2
1 2 0
1 1 0
2 0 0
1 0 3
3 3 2
0 0 2
10 3
1 0 1
0 1 0
2 2 1
0 0 0
1 1 2
0 0 2
1 0 0
2 2 2
0 2 1
0 1 2
10 9
1 0 1
0 0 2
1 1 1
0 0 0
1 2 0
2 2 1
2 2 0
2 0 1
0 0 1
1 0 0
10 7
1 1 1
0 1 1
0 1 0
1 0 0
0 2 1
1 2 0
1 2 1
0 0 0
2 0 0
2 0 2
10 3
0 1 1
2 0 1
1 2 1
0 1 0
2 2 2
1 1 2
2 2 0
1 2 2
0 0 1
1 0 1
10 2
1 0 1
2 2 2
2 1 2
0 0 1
1 0 0
2 0 2
1 2 2
0 1 0
0 0 0
1 0 2
10 8
0 3 0
0 0 2
0 1 2
0 2 1
0 1 3
1 1 1
3 1 0
0 2 3
3 2 0
2 2 2
10 5
0 2 1
1 1 0
1 0 1
0 0 0
2 0 0
0 1 0
2 1 0
2 1 2
2 0 1
1 0 0
10 2
3 0 1
1 0 2
1 3 0
3 1 2
0 3 1
3 1 0
2 3 0
3 1 3
1 3 2
2 0 3
10 4
1 1 2
1 0 1
0 1 2
1 0 2
0 0 2
1 0 0
1 2 0
1 1 0
1 2 1
2 1 2
10 4
1 2 2
2 2 2
0 2 1
1 0 2
2 2 1
2 1 0
2 1 2
1 1 1
0 1 0
1 0 0
10 7
0 1 1
2 2 2
1 0 1
2 1 3
3 3 1
1 2 3
2 0 1
0 0 2
2 3 0
1 2 2
10 4
1 1 1
2 1 1
2 0 3
3 3 3
2 3 3
2 1 3
1 0 1
1 3 0
1 3 1
0 3 2
10 8
0 1 2
1 0 1
2 3 3
2 1 0
3 2 2
3 0 0
2 2 2
1 0 0
1 2 3
2 2 1
10 8
1 0 1
2 1 0
0 1 1
2 0 2
1 2 0
1 2 1
1 1 2
0 2 2
1 1 1
0 1 0
10 8
2 3 1
2 1 0
1 3 1
0 1 2
2 2 0
1 1 2
1 2 1
3 3 0
1 0 3
0 2 3
10 5
0 0 2
2 0 1
3 3 0
3 2 2
3 1 0
1 2 2
1 1 1
2 2 3
2 2 2
2 2 0
10 5
0 0 0
2 2 1
2 1 0
0 2 2
1 2 2
1 1 1
0 1 1
1 0 1
1 2 1
0 2 1
10 9
0 0 0
2 0 2
0 2 1
2 0 1
2 1 1
2 0 0
0 1 1
1 0 1
2 2 0
0 2 2
10 8
2 2 1
2 1 1
1 2 2
2 0 0
0 1 2
0 2 0
0 1 0
2 1 0
2 2 2
0 0 0
10 6
1 3 3
0 1 3
2 1 0
3 2 1
3 1 2
3 1 0
0 0 2
3 0 1
2 0 2
0 2 2
10 8
2 0 1
0 1 0
0 1 1
1 0 1
0 0 1
1 0 2
0 1 2
2 0 0
2 1 0
2 2 2
10 8
0 0 3
3 0 2
0 3 1
0 1 3
0 3 2
1 3 3
0 2 3
1 2 2
0 1 2
3 0 3
10 9
1 0 0
1 1 2
2 0 1
2 0 2
0 2 0
1 2 0
0 1 2
2 1 1
1 0 1
2 2 2
10 8
2 1 3
1 2 3
0 3 2
1 2 1
0 0 0
3 2 3
0 2 3
3 2 2
2 3 0
0 3 1
10 4
0 3 3
2 2 1
3 3 0
3 1 1
2 0 0
3 1 3
3 0 0
2 0 2
3 2 2
0 1 2
10 3
2 2 0
1 3 0
2 3 3
2 0 1
2 3 2
0 2 3
2 3 0
1 2 3
2 0 3
0 0 0
10 7
3 2 2
2 0 1
1 2 1
3 2 0
0 3 2
1 2 3
1 0 2
2 3 1
3 0 0
3 1 0
10 9
1 1 2
0 2 2
2 1 1
0 1 2
1 0 0
1 0 1
2 2 1
0 0 1
0 2 1
0 2 0
10 6
3 1 1
1 1 3
2 2 2
3 1 2
0 0 3
2 0 1
2 1 3
3 0 3
1 1 2
2 0 2
10 7
0 2 1
0 1 0
0 0 0
1 1 1
1 0 0
2 2 2
0 1 2
2 1 2
1 1 2
0 2 0
10 6
2 1 2
0 0 1
2 1 0
0 0 2
1 2 0
2 2 1
0 1 1
1 0 0
0 2 0
1 2 2
10 8
1 0 2
0 0 2
1 0 1
2 1 2
2 0 1
1 0 0
2 1 1
1 1 1
2 2 1
1 2 1
10 2
0 1 2
1 3 3
0 0 2
1 2 2
1 3 1
2 1 3
1 2 0
1 2 1
3 3 3
3 2 1
10 7
1 2 0
2 2 0
2 2 2
1 0 2
1 0 1
2 0 0
0 1 1
2 1 0
0 2 1
1 2 1
10 8
2 2 2
3 0 1
3 0 2
3 3 2
1 1 2
2 1 2
2 0 1
0 1 0
0 2 3
2 0 3
10 5
2 3 3
2 3 1
0 3 1
3 0 2
0 2 0
2 2 2
1 0 1
2 1 3
3 3 1
3 3 2
10 6
1 0 1
3 0 1
0 1 3
2 0 2
3 3 0
2 3 3
1 3 3
3 3 1
3 2 3
2 3 0
10 3
0 1 1
1 3 2
1 0 3
0 3 1
0 2 1
0 0 3
0 2 0
3 0 3
1 1 0
3 2 3
10 8
1 0 2
0 1 1
2 0 2
1 0 3
2 1 1
2 3 2
1 3 1
0 1 0
3 1 0
2 1 2
10 8
1 3 3
3 2 3
2 1 2
0 0 1
2 3 0
0 0 2
0 2 1
2 0 1
1 3 2
1 2 2
10 7
2 2 0
1 2 2
2 0 2
0 0 1
2 0 1
0 1 2
1 1 0
2 1 2
0 0 0
2 1 0
10 9
1 2 0
2 1 2
0 2 0
1 1 2
2 2 2
0 0 0
1 2 2
0 0 2
0 2 1
0 2 2
10 8
2 1 2
1 2 2
1 1 2
2 0 0
1 0 0
2 0 1
2 1 0
0 0 1
1 0 1
0 0 0
10 5
1 1 0
2 0 1
0 2 1
1 2 1
0 2 0
0 0 0
1 0 2
2 1 2
1 2 2
1 1 2
10 3
1 2 1
1 0 0
2 2 0
0 0 2
1 0 1
2 0 1
2 0 2
1 0 2
0 2 0
2 1 1
10 7
2 0 1
0 0 0
2 2 0
0 2 1
2 0 2
1 0 2
1 2 0
0 0 1
1 0 0
2 1 1
10 8
2 2 0
1 2 1
3 3 2
2 2 2
0 3 1
2 1 1
0 0 2
2 1 3
2 0 0
0 3 2
10 8
0 0 1
1 1 2
1 1 1
1 2 0
2 1 2
2 2 0
0 1 1
0 0 2
0 2 0
0 1 2
10 5
1 2 0
2 1 0
1 1 1
0 2 0
0 0 2
0 0 1
1 0 1
0 0 0
0 2 2
1 1 2
10 2
0 0 0
2 1 2
0 1 1
2 0 2
1 0 1
2 1 0
2 2 1
0 2 0
1 1 0
1 1 1
10 3
0 2 1
3 3 1
1 0 2
0 0 0
0 1 0
2 1 3
3 1 0
3 1 3
1 1 1
1 0 1
10 3
3 1 2
2 3 0
0 0 0
2 0 0
2 1 3
0 2 0
0 2 2
2 1 1
2 3 1
0 1 1
10 4
2 0 2
0 1 1
2 1 0
2 0 0
2 2 1
0 0 1
1 0 0
1 2 0
0 2 0
2 2 2
10 3
3 0 0
0 2 0
2 0 3
3 1 2
3 0 1
3 1 1
0 3 0
3 2 2
1 2 0
2 0 0
10 3
3 0 0
0 3 2
1 3 3
0 0 3
1 3 0
1 2 1
0 2 0
1 2 0
2 2 3
3 2 1
10 5
1 2 2
2 1 2
3 3 1
3 0 2
2 2 1
1 3 0
0 1 3
0 3 3
3 1 3
0 3 1
10 2
1 2 2
0 2 0
2 2 2
1 0 2
0 1 1
1 0 0
2 1 0
0 0 0
1 1 0
2 1 2
10 5
1 0 0
2 1 1
3 2 2
0 3 3
0 1 3
0 2 0
3 2 1
1 1 1
3 1 0
3 3 0
10 3
3 0 0
1 1 2
2 2 3
2 3 2
3 1 1
1 0 0
3 2 3
1 2 1
3 1 3
0 3 1
10 6
1 2 0
1 1 2
2 0 0
0 1 1
0 2 2
0 0 0
1 0 0
2 1 1
2 2 1
1 1 1
10 5
2 1 0
1 1 2
0 0 0
2 0 2
0 1 0
1 0 2
0 0 1
0 1 2
1 2 0
0 2 2
10 3
1 2 1
1 0 0
2 2 2
0 1 2
1 1 0
1 0 2
2 0 0
0 2 0
0 0 2
1 1 1
10 9
0 2 0
2 2 1
2 2 0
0 1 2
0 0 0
1 2 2
2 0 0
0 2 1
1 0 2
0 1 1
10 4
3 2 1
0 0 0
0 2 2
0 0 2
1 1 0
2 3 0
2 2 2
1 2 0
3 0 2
1 2 1
10 4
0 2 3
3 0 0
3 3 0
3 1 3
1 0 1
2 2 3
2 1 3
3 3 2
2 2 0
1 3 0
10 6
0 1 2
0 1 1
2 2 2
2 1 0
1 0 1
2 0 0
1 0 2
0 1 0
2 1 2
0 2 1
10 7
0 1 0
2 1 0
0 0 1
1 0 1
0 2 1
1 2 1
1 2 2
0 0 2
2 0 2
0 2 2
10 4
2 2 1
0 1 1
1 2 2
0 0 2
0 1 0
1 2 1
0 0 1
1 0 1
0 1 2
2 0 0
10 5
2 2 2
1 1 2
1 1 0
2 0 0
1 0 0
1 1 1
2 1 1
0 2 2
0 0 1
2 0 2
10 7
0 2 1
2 1 0
2 2 0
2 2 1
2 1 2
0 0 2
1 1 0
2 0 2
1 1 1
1 2 0
10 9
0 2 0
2 2 1
2 2 0
0 0 0
1 2 1
1 1 0
2 0 2
2 0 0
1 0 0
1 2 0
10 4
0 0 1
1 1 2
2 0 0
2 2 2
2 1 1
1 2 0
2 0 1
1 2 2
1 0 2
2 0 2
10 3
0 2 2
2 2 0
1 0 1
1 2 2
0 1 2
2 0 1
1 2 1
2 1 1
1 1 0
1 0 2
10 5
1 2 2
0 1 2
1 2 0
0 1 1
1 0 2
2 1 2
0 1 0
2 2 0
2 1 1
2 2 2
10 3
0 2 2
2 1 1
0 0 1
1 2 0
0 2 1
2 2 0
0 0 0
0 1 0
1 0 2
1 1 0
10 2
1 0 2
3 1 1
3 2 1
0 0 2
0 2 2
3 1 2
0 1 0
0 3 3
1 0 0
1 3 2
10 8
1 1 1
1 2 1
1 1 0
2 2 1
2 0 1
1 2 2
0 2 0
0 0 1
2 1 0
1 0 2
10 7
0 1 1
2 1 2
0 2 2
1 0 0
1 2 0
2 2 1
2 1 0
2 0 0
2 2 0
1 0 1
10 7
2 2 2
2 1 2
2 0 0
2 0 1
0 0 2
0 1 1
2 0 2
1 1 1
0 0 0
1 1 0
10 9
2 2 2
0 0 0
0 0 1
1 1 1
1 0 0
0 1 2
2 0 0
1 2 0
0 0 2
1 2 1
10 4
0 1 1
2 2 2
1 2 2
2 2 0
1 0 1
0 2 1
0 0 2
1 2 0
1 0 2
2 0 0
10 2
2 2 0
0 2 1
1 0 0
0 0 0
2 0 2
0 1 0
0 1 2
2 1 1
1 1 0
2 0 1
10 7
0 1 1
0 0 1
2 2 2
0 0 0
1 0 1
2 2 1
2 0 2
1 1 1
0 1 2
2 0 1
10 9
0 2 2
2 0 1
0 1 0
1 0 0
2 1 1
0 2 0
1 1 1
1 2 2
0 0 2
1 1 2
10 5
3 1 1
2 3 1
0 0 2
0 3 3
3 3 0
0 2 0
3 2 2
2 0 1
1 2 0
3 3 3
10 6
2 1 1
0 2 1
1 2 2
3 0 3
0 1 0
2 2 1
0 2 2
1 1 0
0 3 0
3 2 0
10 5
0 0 3
3 2 3
1 3 0
2 3 2
2 2 3
3 3 0
0 3 2
0 2 1
2 0 1
2 1 0
10 8
2 1 3
2 3 0
3 0 1
1 2 1
2 2 3
0 0 2
3 2 3
3 2 2
0 2 3
1 3 3
10 2
0 0 0
3 2 0
3 1 0
1 1 0
2 0 0
2 3 3
3 3 0
2 2 2
1 3 2
3 0 1
10 5
0 2 2
2 1 1
1 1 2
0 1 0
2 1 0
2 2 2
2 2 1
2 2 0
1 0 0
1 0 2
10 7
2 2 2
2 1 2
1 0 2
0 0 1
0 1 2
2 2 1
1 0 0
1 0 1
1 2 1
2 1 1
10 7
0 1 2
1 1 2
0 1 0
1 0 1
0 2 0
1 2 0
2 0 2
2 0 1
0 0 1
2 2 0
10 8
1 2 3
2 0 3
1 2 2
0 3 2
2 1 2
1 3 0
3 0 3
0 0 0
0 0 1
2 3 0
10 7
0 0 0
1 2 1
2 1 2
0 1 2
1 1 0
2 2 1
1 1 1
2 0 2
0 1 0
0 0 1
10 7
2 1 1
1 0 1
0 2 2
0 2 1
2 0 2
1 2 1
1 2 0
0 2 0
1 1 0
1 1 2
10 4
0 2 1
2 0 2
2 0 3
1 3 3
0 2 2
2 3 0
3 3 2
3 0 0
3 2 3
0 0 0
10 3
2 2 1
0 2 2
0 0 2
1 2 0
1 0 0
2 1 1
2 2 0
0 1 0
2 0 2
0 0 0
10 4
0 3 0
2 2 2
3 0 0
2 0 1
0 3 3
3 2 0
2 2 0
2 2 3
1 2 0
0 0 2
10 2
1 3 0
0 0 2
3 1 2
2 1 3
0 3 0
1 1 1
1 1 0
2 3 2
0 1 0
1 2 1
10 5
1 2 0
0 1 2
2 0 1
1 0 1
1 2 1
0 0 1
1 1 2
0 1 0
0 2 1
0 2 0
10 3
2 1 2
0 0 2
0 1 2
1 1 2
0 2 1
1 3 3
2 1 0
3 0 1
1 0 0
3 3 3
10 3
3 1 0
1 3 3
2 0 0
1 2 1
2 3 0
3 0 2
2 2 2
0 1 1
3 0 1
0 0 1
10 9
2 3 3
1 3 3
1 3 0
1 1 1
2 2 1
0 1 2
2 1 1
0 1 1
1 2 1
3 3 0
10 3
1 3 3
0 3 0
0 1 2
3 0 0
3 1 2
3 3 2
0 0 3
1 2 0
3 2 3
3 2 2
10 9
0 2 1
0 0 1
0 0 2
1 2 2
2 2 0
2 1 2
2 0 1
1 2 1
1 2 0
2 0 0
10 2
3 3 0
2 0 2
3 3 2
1 2 0
0 3 0
3 2 1
2 2 1
3 1 2
3 2 3
3 0 2
10 6
0 3 1
0 1 3
2 3 3
3 0 0
1 2 0
0 0 1
2 1 2
3 1 1
1 0 0
3 0 3
10 9
2 1 1
0 3 0
2 1 3
0 3 1
3 2 3
2 3 0
2 2 2
3 3 2
3 1 0
0 0 0
10 3
1 0 1
0 3 1
3 3 0
1 3 2
2 1 2
0 0 3
3 1 1
1 2 3
1 1 0
3 1 0
10 9
0 0 0
0 1 1
0 3 2
1 1 0
3 0 3
3 2 2
3 3 1
2 1 3
0 0 1
3 0 2
10 7
2 1 3
1 3 1
3 0 0
3 1 0
2 3 1
2 2 2
2 0 0
3 3 0
0 0 0
2 1 2
10 8
0 0 2
1 1 2
2 2 2
1 0 2
1 2 0
1 0 0
0 1 2
0 1 0
1 0 1
1 2 2
10 6
1 2 0
2 1 1
1 0 2
2 0 2
0 1 1
1 2 2
1 2 1
0 1 0
1 1 2
0 0 1
10 6
1 2 1
2 1 0
1 0 1
0 2 2
2 2 1
0 0 0
1 1 2
0 1 0
0 2 1
0 0 2
10 6
2 0 0
1 2 0
0 2 0
0 1 1
0 1 0
2 2 2
1 0 2
2 0 1
2 2 1
1 1 0
10 3
1 0 2
0 2 1
2 0 0
2 0 1
2 0 2
1 1 0
0 0 0
0 0 2
1 0 1
2 1 0
10 9
2 1 2
1 0 1
0 1 1
0 0 1
2 0 0
1 1 0
0 1 0
2 0 2
1 0 0
2 2 2
10 2
1 1 0
0 0 1
1 0 2
0 0 0
2 0 0
0 2 0
0 2 2
0 2 1
1 2 1
2 1 1
10 2
2 0 2
0 0 1
1 2 0
2 1 1
1 0 2
2 1 0
1 0 1
2 2 2
0 0 2
0 1 0
10 4
3 2 1
3 1 1
1 1 3
3 1 0
0 2 1
2 3 3
1 0 3
2 2 2
0 3 1
3 1 3
10 9
2 3 1
3 1 1
0 1 3
2 0 0
2 1 2
3 0 2
1 0 3
3 0 1
3 2 2
0 1 2
10 5
3 0 1
2 2 3
1 1 3
3 3 3
1 3 3
2 1 3
0 2 0
2 2 2
0 2 3
2 1 2
10 7
0 2 2
1 1 1
2 2 0
2 1 0
0 2 1
2 2 2
1 2 2
0 0 1
0 1 1
0 0 0
10 2
2 0 1
0 1 0
2 2 0
2 1 0
0 2 2
0 0 0
1 0 0
2 1 1
1 2 0
0 1 2
10 7
0 1 1
1 0 2
1 0 0
0 1 2
2 0 0
0 2 0
2 0 1
0 1 0
1 2 0
2 2 1
10 4
1 2 0
2 2 1
0 2 0
3 3 1
3 1 3
3 2 3
3 0 0
2 1 2
2 0 2
1 0 0
10 9
0 0 1
1 2 0
2 2 2
1 3 3
1 3 2
0 0 2
3 3 3
1 3 0
0 1 2
3 1 0
10 3
1 2 0
0 1 1
2 1 0
2 2 1
3 0 1
2 0 3
0 3 0
3 3 3
2 2 3
3 3 2
10 4
0 0 3
1 3 2
3 1 0
1 1 1
1 2 1
3 0 0
3 0 1
0 0 0
1 0 0
2 2 3
10 4
2 0 2
1 0 3
2 1 0
3 2 2
3 2 0
0 2 2
1 2 0
0 2 0
2 2 1
3 0 0
10 6
0 1 0
1 1 2
1 0 1
0 2 2
2 0 0
2 1 0
1 2 1
1 0 0
0 1 2
0 0 1
10 2
1 1 0
1 1 3
2 2 1
2 0 3
0 1 3
0 3 2
1 2 3
1 2 2
3 0 0
0 3 0
10 8
1 3 1
0 3 3
1 2 0
1 2 2
2 1 1
1 3 2
1 1 0
1 2 3
3 3 0
2 0 2
10 2
2 1 0
2 0 1
0 1 1
2 1 2
1 0 2
1 2 0
2 1 1
1 0 1
2 2 0
2 2 2
10 9
0 0 1
0 2 0
2 1 1
2 1 2
2 1 0
0 0 2
1 1 0
2 0 1
2 0 0
0 0 0
10 3
0 0 2
0 1 2
1 2 0
2 0 0
1 1 0
2 0 2
0 2 2
2 2 0
0 1 1
1 0 0
10 4
2 0 0
1 2 2
1 2 0
0 0 2
2 1 2
2 2 2
0 2 1
1 1 0
1 1 1
0 0 0
10 8
1 2 2
1 2 0
1 0 0
2 0 2
2 0 0
0 0 2
0 2 1
1 2 1
0 1 2
1 1 2
10 2
0 2 2
0 0 1
0 1 0
2 2 0
0 1 1
2 0 2
2 1 0
1 2 0
1 0 0
1 0 1
10 7
3 1 2
0 2 2
3 2 3
3 0 2
2 3 0
2 2 2
3 0 0
0 1 2
0 1 3
1 3 2
10 4
1 1 1
1 2 2
2 1 2
2 2 0
1 2 1
2 0 0
2 0 1
1 1 0
0 2 2
2 2 2
10 2
3 0 1
1 3 0
1 0 2
2 2 2
2 3 1
1 1 2
0 3 0
3 1 3
0 2 0
1 2 1
10 6
1 3 0
2 1 1
1 2 3
0 3 0
0 1 3
0 1 0
1 2 0
2 0 1
1 1 3
3 0 3
10 2
0 2 0
0 0 1
2 0 1
2 0 0
1 0 2
0 1 2
1 0 1
2 1 2
2 1 1
0 0 0
10 3
3 0 1
3 2 0
1 2 2
3 1 1
0 0 2
0 2 1
3 1 2
2 1 2
1 0 3
1 3 0
10 4
3 1 1
0 3 0
2 3 2
3 2 3
2 3 1
3 2 0
1 3 0
2 1 2
2 2 2
2 2 3
10 6
3 3 1
3 1 3
1 2 3
1 3 1
0 3 3
0 1 2
2 0 2
2 2 0
3 1 0
3 0 3
10 6
0 0 1
2 1 1
0 0 0
0 2 0
1 2 2
1 1 0
2 2 0
2 1 2
0 1 1
2 2 1
10 8
1 1 2
1 1 0
2 2 1
2 0 1
0 2 1
1 0 2
0 0 2
0 0 0
1 0 1
0 1 2
10 6
0 2 1
1 1 2
1 2 2
2 0 2
2 0 1
2 1 2
1 2 0
0 1 0
1 2 1
2 1 1
10 2
2 0 1
0 3 3
0 2 1
1 2 2
0 3 2
3 3 0
3 2 0
0 2 3
2 0 3
2 3 1
10 5
0 2 0
0 0 2
2 1 1
0 1 2
1 0 0
1 0 1
1 1 0
2 0 0
2 1 0
2 2 2
10 6
2 3 1
2 2 3
3 0 3
1 2 2
1 0 3
0 2 1
3 3 2
0 1 0
0 0 2
3 2 3
10 7
0 1 1
2 0 0
2 3 3
2 1 3
3 2 1
0 2 2
2 0 2
3 2 3
3 2 0
0 2 1
10 7
0 1 0
1 1 1
0 1 1
1 0 1
2 0 1
2 0 2
0 0 0
0 0 2
1 2 1
2 1 2
10 8
0 2 2
2 0 0
0 2 1
1 1 1
1 0 2
2 0 2
1 2 0
1 1 2
1 0 1
2 2 1
10 7
1 3 3
1 1 2
3 0 0
2 1 1
1 2 1
2 2 0
1 1 3
3 2 1
2 0 1
1 1 0
10 7
0 2 2
0 0 3
3 0 2
1 1 3
3 2 2
3 3 3
2 0 3
2 0 2
0 3 2
1 3 2
10 5
3 0 0
0 1 3
3 1 1
1 3 3
3 3 3
2 3 3
2 1 1
1 3 0
3 1 3
2 2 1
10 5
2 1 3
1 1 3
1 1 2
2 3 0
0 0 0
1 0 3
0 2 2
0 2 3
0 1 0
1 3 0
10 5
2 2 2
3 2 0
2 1 1
0 3 1
2 1 2
2 0 1
0 0 1
3 0 1
3 0 2
0 0 0
10 8
3 0 1
0 2 1
3 0 0
2 0 1
1 3 0
3 2 2
2 1 1
0 1 1
3 3 0
1 3 3
10 4
1 1 3
0 1 1
2 2 2
2 3 2
2 2 1
3 1 1
3 1 2
0 3 1
3 2 0
2 1 2
10 7
2 1 1
0 2 0
2 2 0
1 2 1
1 3 3
1 3 0
1 0 0
0 1 0
0 0 1
2 2 3
10 6
1 2 3
2 0 1
3 0 1
0 3 3
2 3 2
1 3 2
1 1 0
2 1 3
3 0 0
1 0 0
10 2
2 2 2
1 0 1
2 1 2
1 2 0
0 0 1
1 0 2
0 2 0
2 0 2
0 1 1
1 1 2
10 5
0 2 1
1 1 0
0 0 1
2 0 1
1 0 2
0 1 1
1 2 2
1 1 2
0 2 2
0 0 0
10 3
0 2 1
1 0 1
1 1 2
2 2 1
0 0 2
1 2 2
2 0 1
0 1 1
0 0 0
2 1 2
10 2
2 0 1
1 1 1
3 1 0
0 0 2
3 3 2
3 1 3
2 1 0
0 0 0
0 3 3
3 2 1
10 4
2 2 0
0 2 1
1 0 2
2 0 2
2 2 2
0 1 0
0 2 0
2 1 1
1 1 2
0 1 1
10 6
1 1 2
2 0 1
0 2 1
0 2 2
0 1 2
0 0 1
0 1 0
1 2 2
2 1 0
1 1 1
10 3
2 2 2
2 0 0
2 0 2
1 1 0
1 0 1
0 2 2
0 2 1
0 2 0
2 1 0
0 1 0
10 7
0 2 2
2 0 1
0 1 0
2 1 2
0 0 2
1 1 1
1 1 0
2 1 1
0 0 1
1 0 1
10 9
1 0 2
2 2 0
2 0 1
2 0 0
1 2 1
2 1 1
1 1 0
2 1 0
0 1 0
1 2 2
10 4
0 1 1
2 3 1
0 3 2
2 2 3
3 2 2
0 1 0
0 1 3
2 0 3
2 2 1
3 2 1
10 2
3 1 0
3 2 3
3 2 2
2 3 1
0 2 1
3 2 0
1 0 3
2 2 0
1 2 2
0 2 0
10 2
1 2 1
3 1 3
3 0 3
1 2 0
0 2 2
3 3 2
0 1 1
2 3 1
0 0 2
3 0 2
10 9
2 2 1
2 0 1
1 0 2
2 1 0
2 0 0
1 2 2
1 1 1
0 2 1
1 0 1
0 2 2
10 9
2 1 2
2 0 0
1 2 1
2 2 0
1 1 0
0 0 2
1 0 2
2 0 2
0 0 0
1 2 0
10 7
2 2 3
1 1 2
3 2 3
3 2 1
0 3 2
2 3 2
0 0 1
3 2 2
3 3 2
0 0 2
10 5
0 0 1
3 2 0
3 1 0
1 0 2
3 0 0
2 1 3
3 0 2
1 2 1
3 2 3
1 2 3
10 6
1 2 0
0 2 0
2 0 0
2 2 0
1 1 2
0 2 2
1 0 2
1 1 0
2 0 2
2 1 0
10 8
1 2 2
2 2 3
3 2 0
3 3 1
1 0 3
2 3 0
2 1 0
3 0 0
1 0 0
3 1 2
10 7
0 1 2
1 1 1
2 1 0
0 1 0
0 1 1
1 2 1
0 0 0
2 2 1
1 0 0
1 2 0
10 2
0 1 1
1 2 2
3 3 1
3 0 1
1 3 1
0 3 2
3 2 3
0 1 2
1 2 0
2 0 3
10 3
3 0 1
0 2 1
1 2 3
2 2 2
0 2 3
0 2 2
2 2 0
1 0 0
0 0 3
0 1 0
10 2
2 1 2
1 1 2
0 0 1
1 2 1
2 2 0
0 1 0
2 0 1
2 2 1
0 2 0
1 0 0
10 2
2 0 2
2 0 1
1 2 2
1 1 0
3 1 1
2 1 0
2 1 3
1 1 1
1 2 0
1 2 1
10 3
2 0 1
1 2 1
2 0 2
3 3 0
0 3 3
1 1 3
1 0 3
0 0 0
0 0 3
0 2 1
10 4
0 0 1
1 0 0
3 0 0
3 0 3
1 1 0
2 1 2
2 0 0
1 2 2
0 3 1
2 3 3
10 5
0 2 0
0 1 0
1 1 2
0 1 1
0 2 1
1 2 0
2 0 1
2 2 1
1 0 1
0 0 1
10 9
2 1 0
1 2 1
0 2 2
0 2 1
0 1 1
1 0 0
2 1 2
0 0 1
1 0 2
1 2 2
10 8
0 3 1
0 0 1
3 0 3
1 0 0
2 2 1
1 3 3
1 2 0
3 2 1
2 0 2
0 0 3
10 3
0 1 2
1 2 2
0 0 1
0 0 2
2 0 0
1 0 2
0 0 0
2 1 0
0 1 0
1 2 0
10 6
2 2 0
1 3 3
3 3 2
1 3 0
1 1 2
1 0 3
3 3 3
1 0 1
0 2 0
1 2 3
10 7
2 0 1
1 2 1
2 2 0
2 1 2
2 0 0
1 1 2
1 1 0
0 0 2
0 1 1
0 1 0
10 6
1 2 2
0 1 2
0 0 3
2 1 0
3 1 2
1 2 3
0 0 1
2 1 2
2 3 3
1 3 2
10 7
0 3 0
0 1 2
2 1 3
3 2 0
1 3 3
1 0 0
1 3 2
2 0 3
0 1 0
3 3 2
10 6
2 0 1
0 2 2
3 3 0
2 3 2
1 2 2
1 2 1
3 3 1
1 0 2
1 3 1
3 3 3
10 5
2 1 0
2 1 2
2 0 1
2 0 0
1 0 0
2 1 1
0 0 1
1 1 2
0 2 0
1 2 0
10 5
3 3 2
0 1 0
1 0 3
2 3 1
0 3 0
2 1 1
3 2 0
2 1 3
0 2 1
3 0 2
10 2
1 0 2
1 1 2
1 2 2
1 1 0
0 2 2
2 2 1
2 0 2
2 2 2
0 0 2
0 1 1
10 9
0 3 2
3 0 3
1 3 1
1 3 0
0 1 1
2 3 0
2 0 3
1 1 3
3 1 2
1 2 1
10 6
0 2 2
0 2 0
2 2 1
2 1 0
2 0 0
0 0 1
1 0 1
1 1 2
0 0 0
2 0 2
10 9
3 3 3
1 1 3
0 1 3
1 2 2
0 2 0
3 2 2
1 0 0
0 1 2
0 2 1
3 1 1
10 2
0 0 1
3 3 3
1 1 0
1 2 3
2 1 2
1 2 1
2 2 0
0 2 3
1 1 1
0 1 2
10 5
1 0 1
2 0 1
2 1 1
0 2 1
2 1 0
2 1 2
0 1 2
1 1 2
1 1 1
1 1 0
10 3
2 1 2
2 0 0
2 0 2
0 1 2
0 2 0
2 0 1
1 2 1
0 1 1
0 0 2
1 1 2
10 4
2 0 2
1 0 0
0 2 0
1 2 3
3 0 3
0 2 1
2 3 1
0 3 2
0 3 1
0 1 3
10 6
2 0 0
0 1 2
2 0 1
1 1 0
2 1 2
2 2 1
2 1 1
0 2 2
0 0 1
0 2 0
10 4
1 1 1
1 0 1
1 1 0
1 2 1
0 0 1
2 1 0
2 1 2
0 1 2
2 0 1
2 0 2
10 6
1 0 3
3 0 0
3 3 0
2 2 0
3 2 2
3 1 3
3 0 2
0 3 3
2 0 1
1 2 2
10 7
0 1 2
2 0 1
2 2 1
0 3 3
0 0 2
1 1 2
2 1 2
0 0 3
2 1 3
2 0 0
10 5
3 1 0
0 2 2
1 3 2
0 0 0
3 0 3
2 3 3
2 3 1
2 1 3
1 1 1
1 1 2
10 7
3 1 2
0 3 3
0 3 1
2 2 0
3 2 3
2 3 3
3 0 1
3 0 2
1 2 1
2 0 0
10 2
2 2 1
0 0 0
2 1 2
1 0 0
1 1 1
1 1 2
0 1 1
0 0 1
1 2 0
0 2 1
10 5
1 1 2
1 0 2
1 1 1
2 2 2
3 0 3
3 3 1
1 3 3
2 1 1
2 3 1
2 0 0
10 4
1 1 3
3 2 1
0 1 3
1 0 1
1 3 3
0 0 0
1 0 0
1 2 0
2 3 2
2 2 1
10 3
0 0 0
0 3 0
2 2 2
3 0 2
2 0 0
1 0 1
1 2 3
1 0 2
3 2 3
0 0 2
10 2
2 2 0
0 1 2
2 2 2
0 0 1
0 0 0
2 2 1
2 1 0
0 0 2
2 0 2
1 1 1
10 8
2 0 0
0 3 0
2 0 1
0 3 3
3 0 2
2 3 3
2 1 0
2 2 0
3 0 1
1 2 0
10 8
1 2 0
1 0 1
1 0 2
0 0 2
0 1 1
2 2 2
1 1 2
0 0 0
2 1 2
0 0 1
10 2
1 2 2
0 0 1
0 0 0
2 1 1
2 0 1
1 2 1
0 2 1
2 1 2
0 2 0
2 2 2
10 8
2 2 2
3 0 0
1 0 1
3 2 2
0 3 3
3 1 1
0 3 2
2 3 2
2 3 0
2 1 1
10 8
2 0 0
2 2 2
2 2 0
0 1 2
0 2 2
0 0 2
2 2 1
1 1 2
0 2 1
1 0 2
10 7
0 0 3
2 1 0
0 3 1
1 1 1
3 3 0
0 1 2
1 2 1
2 0 3
1 3 3
2 1 1
10 8
3 0 1
0 2 1
1 1 1
0 0 2
0 0 1
1 3 0
3 2 2
0 1 0
3 0 2
2 0 2
10 3
1 0 0
3 2 3
2 0 2
2 2 2
3 3 0
2 1 0
1 1 1
3 3 1
2 2 3
2 2 1
10 7
0 0 2
2 2 2
3 3 3
3 3 0
2 1 0
3 1 3
1 1 2
1 1 3
2 1 2
3 2 3
10 8
1 2 0
0 1 2
1 0 0
1 2 1
0 1 0
2 2 0
1 1 1
1 0 1
0 2 0
1 2 2
10 8
2 2 3
3 3 3
1 3 2
2 3 0
1 1 1
3 2 0
0 1 0
2 1 1
3 2 1
2 0 0
10 9
2 2 3
1 0 1
3 1 1
0 1 2
1 3 1
1 3 2
2 1 3
3 0 1
0 0 0
3 2 0
10 5
0 1 3
1 3 0
1 3 1
2 2 0
1 0 1
2 0 3
2 3 1
0 2 0
1 1 1
1 2 1
10 3
0 1 1
2 1 1
2 2 0
0 2 0
1 1 2
2 2 1
0 0 0
1 2 0
2 0 0
2 0 1
10 5
2 2 0
1 2 0
0 1 1
2 1 2
2 0 1
2 2 2
1 0 1
2 0 2
0 2 2
1 1 0
10 8
2 1 1
0 0 1
0 0 0
1 2 1
1 2 2
1 0 2
0 1 1
1 1 1
2 1 2
0 2 0
10 8
1 2 1
0 1 1
0 2 0
1 1 0
1 2 0
1 1 1
0 2 2
2 0 0
0 0 0
0 2 1
10 7
2 0 2
2 3 1
2 1 0
2 0 3
1 1 2
1 0 0
1 2 1
3 3 3
1 3 0
2 2 1
10 9
2 1 3
0 0 3
3 0 0
1 0 3
0 2 1
3 2 0
2 0 3
0 3 0
2 2 2
2 3 1
10 5
2 3 0
0 0 1
2 1 2
3 0 3
1 0 1
0 2 0
0 0 3
1 3 1
1 1 2
0 0 2
10 7
1 2 0
1 0 2
0 2 2
1 2 1
0 2 0
2 2 0
2 1 1
0 1 2
0 1 0
1 1 0
10 7
0 1 2
2 2 1
2 0 2
2 0 1
2 2 0
1 1 1
0 0 2
1 2 0
0 0 0
0 2 1
10 9
0 0 0
1 2 0
0 1 1
2 2 2
2 0 1
1 2 2
0 1 2
0 2 1
0 2 0
2 2 1
10 6
2 1 2
1 1 2
1 1 0
1 2 0
2 0 1
0 0 1
0 2 0
2 0 0
2 2 0
1 0 2
10 3
1 2 2
3 1 1
0 1 2
3 2 1
0 3 1
1 0 3
3 0 2
2 3 3
3 3 2
2 2 3
10 3
1 0 0
2 0 1
1 2 1
0 3 3
0 2 3
2 2 0
2 0 2
0 0 0
0 2 0
3 2 1
10 6
1 1 2
2 2 2
2 1 1
0 2 0
1 1 1
1 0 0
1 1 0
0 1 0
0 2 1
0 0 0
10 8
2 2 0
2 0 1
2 2 2
0 0 2
2 0 0
2 1 2
0 1 1
0 0 0
0 1 0
1 2 2
10 9
2 2 1
2 0 1
1 2 1
3 1 3
3 3 2
2 3 3
2 3 2
3 1 0
3 2 1
2 0 3
10 2
2 2 3
1 1 1
0 1 3
2 0 3
3 1 1
0 2 0
1 2 3
0 1 1
1 2 1
1 1 3
10 4
0 3 1
1 2 0
1 0 3
1 3 0
2 2 1
1 0 0
2 0 3
1 3 2
0 1 0
2 0 0
10 8
0 1 3
0 2 2
2 3 1
1 0 3
1 1 2
1 1 0
0 0 2
0 1 1
3 1 0
2 2 3
10 3
2 1 0
0 0 1
1 0 1
2 0 0
2 1 1
1 1 2
0 2 1
0 0 0
1 1 1
1 2 0
10 7
1 0 3
2 3 0
3 0 3
3 2 2
0 2 2
3 3 0
0 3 3
2 3 1
2 2 0
1 0 0
10 6
3 0 3
2 2 1
3 1 2
2 3 1
2 2 3
3 0 2
2 2 2
2 0 1
0 2 1
0 0 3
10 9
1 0 2
2 0 2
1 1 0
2 2 1
0 2 2
0 1 0
0 1 1
1 2 0
2 1 1
0 2 1
10 3
0 3 0
2 1 3
3 2 0
3 2 2
2 0 0
2 2 3
3 0 3
3 3 3
1 0 1
2 1 0
10 4
1 2 1
0 1 2
1 1 0
2 0 1
1 0 1
2 2 2
1 0 2
2 0 0
0 1 1
1 1 2
10 9
0 3 3
2 0 2
0 1 1
3 1 2
0 0 2
0 1 0
0 2 3
2 3 1
0 2 1
2 2 3
10 9
0 2 1
1 1 0
0 0 2
2 1 2
3 1 2
2 2 3
3 2 2
1 1 1
3 0 2
1 0 3
10 9
3 1 3
2 0 3
3 3 2
0 3 0
1 3 0
3 0 0
0 2 0
2 3 2
1 1 1
3 2 0
10 9
3 0 3
0 0 1
0 0 0
1 2 0
3 3 1
2 0 0
0 3 1
2 1 3
0 1 2
3 1 1
10 8
1 1 0
0 1 0
2 1 2
1 1 1
0 0 2
1 0 1
1 2 2
0 1 1
0 0 0
2 2 0
10 4
0 0 1
0 2 1
2 2 2
2 0 2
0 2 0
2 1 0
1 2 0
1 0 1
1 1 1
1 0 0
10 6
0 0 1
0 0 2
2 1 0
0 1 2
2 2 0
2 2 2
1 1 2
2 2 1
0 2 2
2 1 2
10 5
0 1 3
0 0 1
2 3 0
2 2 1
0 2 1
3 3 1
3 2 1
0 0 3
2 3 3
1 0 3
10 9
0 0 2
0 0 3
2 2 2
2 2 1
1 2 2
1 2 0
0 0 1
1 2 1
3 1 3
2 2 0
10 2
1 3 2
0 1 1
3 1 3
3 3 1
1 0 1
0 2 3
3 1 1
0 3 3
3 2 0
3 3 3
10 8
1 3 3
1 3 1
2 3 3
0 1 0
0 0 1
2 2 2
1 1 2
2 2 3
2 1 0
1 3 0
10 5
0 1 0
2 0 2
2 2 1
0 1 1
2 1 1
2 0 0
2 2 0
2 2 2
0 2 0
0 0 2
10 9
0 3 0
0 0 3
2 2 3
0 3 1
3 0 2
2 2 2
2 0 2
1 1 3
2 1 2
1 0 1
10 3
1 0 0
1 1 3
1 2 3
3 0 0
0 0 3
3 2 0
0 2 3
1 3 3
2 3 0
0 3 2
10 4
2 0 3
1 2 3
0 1 2
0 2 2
3 0 3
3 0 0
2 3 0
3 3 0
2 1 2
0 3 3
10 2
0 1 1
0 2 2
0 1 2
1 2 0
0 0 1
2 0 2
1 2 1
0 2 1
2 1 2
1 1 1
10 6
0 3 2
3 1 3
1 3 1
3 0 3
1 1 2
1 3 2
2 3 3
1 0 1
3 0 2
1 3 3
10 9
3 2 1
3 3 0
0 3 3
1 1 2
2 2 2
2 0 3
1 2 2
1 1 1
0 0 2
2 0 1
10 9
0 3 3
2 3 1
3 1 1
1 0 0
0 3 1
0 3 2
2 3 2
3 0 3
0 1 3
1 1 2
10 5
2 1 2
0 2 1
0 2 0
0 2 2
0 1 1
2 2 2
1 2 2
2 0 1
2 1 0
2 0 2
10 4
2 2 3
1 2 1
0 1 1
2 3 1
3 3 3
2 3 3
1 0 1
1 3 3
2 3 0
0 0 2
10 5
2 3 0
3 2 1
2 1 0
0 2 0
2 2 3
0 0 2
1 1 0
1 1 1
0 2 1
2 1 2
10 5
1 2 0
2 2 2
1 1 2
0 1 2
1 2 2
0 2 1
0 2 2
2 0 2
1 0 0
1 1 0
10 2
2 0 3
3 0 0
3 1 1
1 0 2
2 2 2
1 2 3
1 1 2
3 2 1
2 2 1
0 3 1
10 8
0 1 2
2 1 1
0 1 1
0 2 1
1 3 0
1 0 2
2 3 1
0 3 3
3 3 1
0 0 2
10 3
2 2 1
0 2 2
2 2 2
1 2 0
0 0 0
1 0 0
1 2 1
2 0 0
0 2 1
2 2 0
10 7
2 2 2
0 1 0
0 2 2
0 2 0
2 0 2
2 2 1
0 0 2
1 2 1
1 1 1
2 0 1
10 5
1 0 2
1 0 1
2 1 0
0 0 2
2 2 0
2 1 2
1 1 2
2 0 2
0 2 0
2 2 1
10 3
2 1 2
1 1 1
2 0 1
2 1 1
2 2 2
0 2 2
0 1 1
0 0 1
2 2 0
1 2 0
10 3
2 1 0
2 0 0
2 0 2
0 0 2
2 0 1
1 1 0
2 2 0
0 1 1
0 2 0
1 2 2
10 7
0 1 1
1 1 2
0 0 0
1 2 1
0 0 2
2 2 1
0 2 1
2 2 2
2 1 2
1 0 0
10 2
2 2 1
2 0 3
2 0 1
0 1 1
0 1 2
3 1 2
1 2 2
0 3 3
2 1 2
0 1 3
10 2
1 2 0
1 0 1
0 3 0
2 0 0
2 2 3
3 2 1
1 1 0
0 2 2
2 2 1
3 2 0
10 9
1 2 2
0 1 0
1 0 1
0 1 1
2 1 1
1 0 2
0 0 1
2 1 2
0 2 2
0 0 0
10 3
3 2 2
1 3 0
0 1 2
3 1 2
3 3 1
3 0 3
1 0 0
2 2 1
2 1 1
2 0 3
10 4
3 1 2
0 2 3
2 2 2
1 3 0
3 2 3
2 1 1
0 2 0
2 3 3
1 0 1
1 0 2
10 2
3 1 1
1 0 0
0 0 3
2 3 0
2 0 1
2 0 0
2 1 1
0 0 2
2 2 1
0 2 0
10 2
1 0 0
1 2 2
2 0 1
0 2 0
2 2 1
0 1 2
0 0 1
0 0 2
2 1 2
1 0 1
10 2
2 0 3
1 1 1
3 2 1
3 2 2
3 0 2
1 1 3
0 1 2
1 1 0
3 1 1
0 0 0
10 8
2 1 2
1 2 1
0 0 1
0 1 2
2 0 0
0 1 0
1 2 2
0 2 1
2 0 1
0 2 0
10 3
1 2 0
0 0 1
2 3 3
2 2 2
3 0 2
2 0 1
0 3 3
1 0 1
0 3 2
3 3 3
10 5
2 1 1
1 0 0
0 0 1
1 0 1
1 2 1
0 0 0
1 1 1
0 2 2
2 1 2
2 0 2
10 5
0 3 3
1 3 1
1 1 2
0 3 2
2 0 3
1 3 3
0 0 3
0 0 1
2 1 1
2 0 1
10 2
1 0 0
0 0 0
1 1 0
1 1 2
2 0 2
1 2 2
2 1 2
0 1 1
2 2 1
2 0 0
10 5
1 3 1
0 0 2
1 1 3
3 0 1
0 1 0
1 0 1
2 3 3
3 2 1
2 0 3
3 2 2
10 2
0 2 3
2 2 3
0 1 3
0 3 2
2 1 1
1 1 3
0 3 1
0 2 2
3 3 2
3 0 2
10 9
1 1 2
0 1 0
1 1 0
1 0 2
0 0 0
2 1 2
0 2 1
0 2 2
0 1 1
2 0 0
10 6
2 2 1
1 2 1
2 1 1
0 0 0
1 1 2
2 2 2
1 0 1
2 0 2
0 0 2
0 2 2
10 2
1 1 0
2 1 0
2 1 3
0 0 1
1 2 1
2 3 2
0 2 1
0 2 3
2 3 1
0 1 3
10 3
0 2 0
0 2 3
1 3 2
2 3 0
2 0 0
3 0 2
2 3 2
2 2 3
2 2 0
3 0 1
10 3
0 2 2
2 1 0
0 1 0
1 3 1
1 2 1
1 1 3
3 3 3
2 3 0
0 1 3
2 2 0
10 3
0 0 0
3 1 2
1 1 1
2 2 0
1 1 0
0 2 1
3 3 3
0 2 0
2 2 3
3 2 3
10 8
0 0 1
0 2 0
1 1 1
2 1 0
2 0 2
1 2 2
0 1 2
1 1 0
0 2 2
0 0 2
10 6
2 0 3
3 2 3
3 1 3
2 0 2
3 3 3
2 1 0
2 1 3
0 0 1
1 2 1
1 0 2
10 2
1 1 2
1 0 1
2 2 2
2 1 1
0 0 2
1 1 0
1 2 0
0 2 1
0 1 2
1 0 2
10 7
1 0 2
3 0 2
0 1 0
1 3 2
2 0 3
1 2 3
0 2 3
1 1 1
2 0 2
2 0 1
10 6
2 2 3
0 3 1
0 0 2
1 1 1
0 0 3
0 2 2
0 2 0
3 1 2
2 3 2
0 3 3
10 7
0 0 2
0 2 0
0 0 0
1 0 0
0 1 2
0 1 0
2 2 2
2 0 1
1 0 1
0 2 1
10 6
2 0 2
2 0 1
1 0 1
0 1 0
0 2 1
1 1 2
2 2 0
1 2 0
1 0 0
0 2 2
10 5
1 1 0
2 1 1
2 2 0
0 1 1
2 1 0
2 0 0
0 1 2
2 2 2
0 1 0
0 2 1
10 3
2 2 0
1 0 2
1 2 1
2 1 2
2 0 1
0 0 2
2 2 2
1 1 0
0 0 0
0 0 1
10 2
0 2 0
0 2 2
1 2 2
0 0 2
0 1 1
0 0 0
1 1 2
1 2 1
2 2 0
2 2 1
10 8
2 1 1
0 3 0
2 3 0
2 2 1
0 2 2
0 0 2
1 3 0
2 1 3
3 1 3
2 0 0
10 3
0 1 0
0 0 2
0 1 2
0 2 0
0 2 2
2 2 1
2 2 0
2 0 0
2 2 2
0 0 0
10 8
0 3 3
1 2 0
2 2 3
3 3 2
2 3 0
0 0 3
3 1 0
1 1 0
2 0 0
3 1 1
10 6
3 3 0
0 2 1
1 1 0
3 0 3
0 1 3
0 3 2
3 1 0
2 0 3
0 0 0
3 3 3
10 8
2 1 1
1 1 1
0 1 2
1 2 1
0 0 2
2 0 2
1 1 2
1 0 0
2 2 1
2 2 2
10 7
0 0 0
1 2 3
2 2 1
2 3 1
0 1 2
3 2 0
0 1 1
1 0 0
3 3 3
3 2 2
10 4
1 1 0
1 0 0
2 0 0
1 1 1
0 0 2
0 2 2
1 2 0
0 2 1
2 1 2
2 1 1
10 6
1 2 1
0 0 0
2 2 1
2 2 0
1 1 2
2 0 1
1 0 1
0 2 1
2 2 2
2 0 0
10 9
1 0 2
1 0 1
0 2 2
2 2 0
0 1 2
0 2 1
2 0 2
2 1 0
0 0 2
1 2 0
10 6
1 1 1
1 2 1
0 0 2
0 1 1
2 1 2
0 1 2
1 2 2
0 2 2
2 2 2
1 1 2
10 5
0 1 2
0 0 0
0 1 1
0 0 1
2 2 0
0 2 0
2 2 2
1 0 2
1 1 2
0 0 2
10 7
1 1 0
2 0 0
2 1 2
1 2 0
1 0 1
1 2 2
1 1 1
0 0 0
1 2 1
0 0 2
10 6
1 2 0
3 3 3
2 0 3
0 0 0
2 3 1
3 3 1
1 0 3
3 1 0
1 1 3
3 2 2
10 2
2 3 2
3 2 0
3 2 2
3 0 1
1 3 1
1 0 0
3 2 3
2 1 3
0 0 1
2 2 0
10 7
0 0 0
0 0 1
2 1 1
2 0 0
1 0 2
2 2 2
2 1 0
1 2 2
0 2 1
1 0 1
10 5
0 3 0
2 0 2
3 3 1
0 3 2
3 0 2
0 3 3
0 1 2
1 2 2
1 3 0
0 1 3
10 7
1 1 1
1 2 1
2 1 1
0 1 1
1 2 0
2 1 0
2 1 2
0 0 1
1 1 0
1 2 2
10 6
1 1 2
1 0 1
2 0 2
1 2 1
1 2 0
2 1 1
1 1 0
1 1 1
0 1 1
2 1 2
10 2
2 1 1
2 0 0
1 1 2
0 0 1
1 0 1
1 2 2
0 2 1
1 0 0
0 2 2
0 1 0
10 8
0 0 2
0 1 1
1 2 1
0 2 0
0 1 2
0 2 2
1 2 0
1 1 2
0 2 1
0 1 0
10 2
1 0 0
1 2 2
2 0 0
1 0 1
0 2 2
2 2 2
0 0 2
0 1 1
2 2 0
0 0 1
10 7
1 1 2
0 1 2
0 0 0
2 2 0
2 1 1
0 2 2
1 0 0
0 0 2
2 1 2
0 1 1
10 8
2 1 0
1 0 3
1 0 1
0 2 2
0 1 2
0 3 2
3 1 3
1 2 2
0 1 1
0 0 3
10 7
3 1 3
1 0 0
0 2 3
1 0 2
0 1 3
2 0 1
1 2 2
1 1 2
3 0 2
1 3 0
10 4
2 2 0
2 1 1
2 1 2
1 0 1
1 1 2
1 1 0
0 0 1
2 2 1
2 0 0
1 2 2
10 4
2 0 0
0 3 1
0 1 1
0 2 0
1 2 0
2 1 1
1 0 2
3 1 3
3 3 2
0 0 0
10 6
0 1 1
1 1 2
1 1 0
1 0 0
0 0 1
1 0 2
0 1 0
2 0 2
0 1 2
2 0 0
10 6
0 1 3
2 0 0
3 2 0
1 0 0
0 2 0
0 3 0
3 0 3
2 2 0
0 0 3
0 0 0
10 6
1 2 2
2 2 1
1 1 0
2 2 0
1 2 0
0 1 0
2 0 1
2 1 1
2 0 2
0 2 2
10 7
2 2 2
1 0 3
1 1 3
2 2 3
3 2 3
0 1 2
2 1 2
2 0 3
3 2 0
1 3 0
10 9
1 0 3
2 2 3
0 2 0
3 3 2
0 0 0
1 3 0
1 3 1
1 3 3
0 1 2
2 3 0
10 4
0 0 0
0 2 1
2 1 2
1 1 0
2 1 1
2 2 2
0 2 2
2 2 1
2 0 2
1 2 2
10 2
0 2 3
1 3 1
0 1 0
0 0 1
1 2 0
2 1 3
3 1 2
3 0 0
2 3 1
1 2 3
10 9
0 1 1
0 3 1
0 0 0
3 0 0
1 0 2
0 2 2
2 1 2
3 2 3
1 0 3
3 3 1
10 3
2 2 3
3 1 3
0 3 3
2 1 0
2 3 3
1 0 3
3 3 3
0 3 2
1 1 0
1 0 2
10 8
2 1 2
1 1 2
2 3 3
3 1 0
1 2 1
3 2 3
1 0 2
0 3 1
0 1 1
2 2 0
10 6
2 0 0
1 0 2
2 0 2
1 2 2
0 2 0
0 1 2
1 2 0
2 1 2
1 1 2
0 2 1
10 8
1 0 0
0 0 2
0 1 1
1 2 1
2 2 0
1 0 2
0 0 1
0 2 1
1 1 1
0 1 0
10 2
2 0 2
1 2 2
0 0 2
0 0 1
2 2 2
2 2 0
1 0 0
0 2 0
0 1 2
0 1 0
10 5
0 0 2
0 2 0
1 1 2
1 1 0
0 1 0
1 1 1
1 2 1
2 1 0
2 2 1
1 0 0
10 9
2 1 1
1 0 3
1 3 0
0 2 3
3 3 0
2 2 0
1 1 3
2 3 1
3 0 0
1 1 2
10 8
1 1 0
2 2 3
1 0 0
2 2 1
1 2 1
2 1 0
1 0 3
2 3 1
0 1 3
3 2 1
10 9
0 2 1
0 0 0
0 0 3
2 2 2
3 0 2
0 0 1
3 1 0
0 2 2
3 0 0
2 3 0
10 5
1 1 1
1 1 0
2 0 1
1 2 2
2 2 2
2 1 0
2 1 2
2 0 2
0 1 0
1 2 1
10 6
1 1 2
1 2 2
2 1 3
0 3 3
1 3 3
2 1 0
3 1 1
0 0 3
0 0 1
3 1 3
10 3
0 1 0
0 0 0
3 1 3
1 2 1
3 1 1
3 3 3
2 3 2
1 1 2
2 0 3
2 3 1
10 2
1 0 0
0 1 0
3 0 1
0 0 1
2 0 2
3 2 3
0 3 1
1 2 0
0 3 3
0 3 0
10 4
0 0 0
2 1 1
2 1 2
0 1 2
1 1 0
1 2 0
2 2 2
1 2 2
2 1 0
0 2 0
10 8
0 3 2
1 3 1
0 3 1
2 1 2
2 2 2
3 3 1
2 2 0
1 0 3
3 3 3
2 0 0
10 3
1 2 0
0 0 1
0 0 2
1 0 1
2 1 0
2 0 0
1 0 0
2 2 0
1 0 2
2 1 2
10 5
0 1 2
1 2 2
2 0 0
1 1 1
2 2 2
0 2 2
2 2 0
1 2 0
1 0 0
0 2 0
10 3
2 2 1
1 2 0
1 1 0
2 1 1
1 0 1
0 0 0
2 2 2
0 2 2
0 1 1
0 2 0
10 2
0 2 2
3 0 0
2 0 2
0 0 3
0 1 0
2 1 3
0 0 0
3 2 2
1 0 0
2 2 0
10 2
2 2 0
2 0 0
1 0 2
1 0 0
0 0 1
1 2 1
1 1 1
0 2 2
1 1 2
2 1 1
10 9
2 0 1
0 1 1
0 2 3
3 2 0
1 2 0
0 3 2
1 0 3
0 0 3
2 0 3
3 1 0
10 5
3 1 0
2 3 3
2 2 0
0 3 2
0 1 0
3 1 3
0 0 2
0 1 3
1 0 2
0 1 1
10 7
1 2 1
2 0 1
0 2 0
1 1 1
1 1 2
0 0 1
0 1 2
2 1 2
2 2 2
1 1 0
10 5
1 1 0
2 1 3
0 3 1
2 3 2
2 3 0
1 2 1
2 0 3
1 0 2
0 2 1
1 0 3
10 7
2 1 1
1 2 2
0 3 0
2 2 3
1 3 2
3 0 2
0 2 2
1 1 1
3 3 3
2 2 2
10 5
2 2 1
2 1 1
0 1 1
1 1 1
2 0 1
0 2 0
1 2 1
1 0 2
0 2 2
1 1 2
10 3
1 2 2
2 1 0
2 0 2
1 1 2
2 2 1
0 0 1
1 0 2
2 1 1
0 2 1
2 0 1
10 6
2 0 1
1 0 0
0 0 1
1 1 0
2 0 2
2 2 0
0 2 2
2 2 1
2 1 1
1 1 1
10 8
3 0 0
1 1 3
1 2 2
1 3 0
2 0 2
1 0 3
0 2 3
1 2 1
3 3 1
2 1 1
10 3
1 0 2
0 1 2
2 0 0
2 1 2
2 2 0
1 0 1
1 2 0
0 0 1
2 0 2
1 2 2
10 7
1 1 3
1 0 2
0 3 3
0 1 3
0 2 1
0 3 0
0 0 1
0 0 2
2 3 0
2 1 1
10 2
1 0 2
1 1 0
2 2 2
2 1 2
0 2 2
1 1 2
0 0 1
1 0 0
1 2 2
0 0 2
10 4
2 2 0
2 3 2
0 2 1
0 2 3
1 3 2
1 2 1
3 0 0
0 1 1
3 3 2
3 0 2
10 7
1 1 2
2 2 2
2 1 2
2 1 0
0 2 1
0 0 0
0 1 2
2 2 0
1 0 1
2 2 1
10 6
1 1 1
0 1 1
1 2 2
1 2 0
2 1 1
1 1 2
2 2 1
2 2 2
0 2 0
1 2 1
10 2
2 1 1
1 0 0
2 1 2
1 2 2
0 1 0
0 0 2
2 0 2
0 1 1
2 2 2
1 1 2
10 7
2 0 3
1 0 3
2 3 1
2 0 0
2 3 3
0 0 1
0 2 0
2 3 0
3 1 0
1 2 0
10 3
0 0 2
2 3 3
2 1 2
2 0 1
2 1 0
1 1 2
0 2 1
1 0 1
0 2 3
0 3 0
10 5
2 0 0
1 0 2
0 0 0
0 1 0
2 0 1
0 1 2
0 1 1
2 0 2
0 2 1
2 1 1
10 3
1 0 0
0 0 0
0 2 2
0 2 1
2 0 2
1 1 1
1 2 1
0 1 0
2 2 0
1 0 2
10 5
0 0 0
0 0 1
2 1 0
0 1 0
1 2 2
1 1 1
1 2 1
2 0 1
2 1 2
1 0 2
10 4
0 3 0
3 2 1
0 1 0
0 2 1
1 3 1
2 1 3
1 2 3
2 3 1
2 2 2
2 0 3
10 2
2 2 0
0 1 0
1 2 2
2 0 2
1 1 0
2 1 1
2 1 2
0 0 0
1 1 2
0 2 2
10 7
1 0 0
2 3 2
0 1 2
0 3 0
2 0 0
2 2 2
1 2 3
3 3 1
3 3 0
0 0 3
10 6
2 0 2
1 1 1
2 2 2
0 1 2
1 1 2
0 1 1
0 2 2
2 0 0
1 0 0
0 0 0
10 5
2 1 0
2 3 0
2 2 3
2 1 2
3 3 1
2 0 3
2 0 2
0 0 2
3 3 3
3 0 1
10 5
1 2 0
2 2 0
0 2 0
1 1 0
2 1 1
0 1 0
2 0 2
0 2 2
1 1 2
1 1 1
10 9
0 0 2
3 0 1
0 2 1
3 1 3
3 0 3
2 0 1
0 1 3
2 1 0
1 2 1
1 1 3
10 3
3 1 1
1 2 1
0 2 0
2 0 3
1 1 2
1 2 2
1 1 0
0 0 1
0 2 1
2 0 2
10 3
1 0 0
2 3 2
1 2 2
0 3 1
3 2 1
2 1 1
2 0 0
1 0 3
2 3 1
2 2 3
10 8
3 3 1
0 2 1
2 0 2
3 1 2
2 2 2
1 3 2
2 2 0
2 0 3
1 2 0
1 2 1
10 9
0 1 1
0 0 1
1 1 2
1 2 2
0 2 0
1 2 0
0 2 1
2 2 2
1 1 0
2 0 2
10 4
0 2 0
1 3 1
3 3 2
1 0 1
0 2 3
2 2 0
0 3 0
2 2 3
3 1 2
1 0 2
10 7
0 1 3
3 2 3
1 1 1
2 0 1
0 2 2
0 1 2
2 3 2
2 0 0
0 0 0
0 3 2
10 5
2 1 2
2 0 0
0 2 0
0 1 1
1 2 2
1 1 1
0 0 1
0 1 2
1 1 0
1 2 1
10 8
1 1 2
0 2 1
1 0 0
1 1 1
2 1 3
3 2 3
2 2 1
3 3 3
2 3 3
1 3 3
10 5
1 2 1
0 0 1
2 2 1
2 1 0
1 2 0
2 1 1
0 2 1
0 1 0
1 0 1
1 0 0
10 7
1 3 1
3 0 1
2 3 2
0 0 1
0 2 1
3 1 1
2 2 1
2 1 0
2 3 1
3 0 0
10 7
0 0 0
3 0 3
1 0 0
0 1 1
3 0 2
2 0 0
3 0 0
2 3 0
2 0 3
0 2 3
10 6
2 2 3
3 1 2
0 1 0
1 0 3
2 3 2
1 2 3
1 2 2
1 1 2
3 1 0
0 3 3
10 2
1 2 0
3 0 0
1 0 0
0 2 2
1 1 1
2 1 2
2 1 0
0 0 3
2 3 3
0 2 3
10 6
1 1 2
1 1 1
2 0 0
1 0 2
0 0 2
0 1 1
0 2 1
1 0 0
2 2 0
1 2 1
10 7
2 2 0
2 0 2
0 2 0
1 0 1
1 2 0
0 2 2
0 1 0
2 1 0
2 1 1
2 2 2
10 8
1 3 1
2 2 0
3 3 3
0 2 1
3 1 3
2 3 2
2 0 3
3 0 0
1 1 2
3 0 3
10 9
2 1 1
1 1 0
1 0 2
2 1 0
2 0 1
1 2 0
1 1 1
0 2 0
2 2 1
0 0 1
10 3
2 0 1
1 1 1
0 1 2
0 0 1
1 0 0
2 1 0
2 1 2
0 0 2
0 1 1
1 2 0
10 8
2 3 3
2 3 1
0 2 0
1 2 0
1 2 1
0 1 3
2 1 2
1 0 1
3 3 2
2 0 2
10 2
2 1 1
0 2 0
1 2 2
1 0 2
0 2 2
1 2 0
0 1 0
2 2 1
2 1 0
0 1 1
10 8
1 1 0
1 2 0
2 2 1
0 1 0
2 1 0
0 0 1
2 1 2
1 0 2
0 2 1
0 1 1
10 7
0 0 0
1 1 0
0 1 2
0 1 1
2 2 0
0 2 1
1 0 2
1 2 2
0 2 0
2 1 1
10 2
0 2 2
0 1 1
0 0 0
2 0 1
2 1 2
0 1 0
2 0 0
2 2 0
0 0 2
1 0 0
10 3
0 1 2
2 2 2
1 0 0
2 1 1
2 0 1
0 0 2
1 2 0
0 0 1
1 1 0
2 0 0
10 7
2 2 1
0 2 0
3 3 1
1 1 0
3 2 0
2 2 2
1 2 3
3 0 1
0 3 1
3 3 3
10 5
0 2 1
2 0 2
0 0 0
2 1 0
2 0 1
0 2 0
0 0 2
1 2 0
1 1 1
0 1 1
10 8
1 2 2
3 1 3
0 1 2
0 0 2
3 3 3
1 2 3
3 2 3
0 2 1
3 0 0
2 2 0
10 4
1 2 2
3 3 3
2 0 3
3 3 1
1 1 2
2 2 3
2 1 1
3 2 1
3 0 3
3 3 2
10 8
2 1 2
1 3 2
1 1 2
0 2 1
1 2 2
3 2 1
0 2 0
2 1 0
3 2 3
1 0 1
10 5
0 2 1
2 2 2
3 1 0
3 2 3
2 1 1
1 3 0
2 1 3
2 0 3
3 1 1
2 3 3
10 2
2 0 2
0 1 0
2 1 0
0 0 1
2 0 1
0 0 2
1 1 1
1 1 0
0 2 0
0 2 2
10 5
2 0 2
1 0 0
1 2 2
0 2 0
2 1 1
1 2 1
1 0 2
1 1 0
2 2 1
0 1 1
10 9
0 2 1
1 0 2
1 1 2
1 2 2
0 2 0
2 2 2
2 2 0
1 1 0
0 0 1
2 1 0
10 6
2 2 0
2 1 0
2 1 2
1 1 1
2 0 2
1 0 2
1 2 0
1 1 0
1 0 1
0 1 1
10 8
1 0 1
2 2 0
2 0 1
0 0 2
3 0 2
2 2 2
1 0 3
3 1 1
3 2 0
2 2 3
10 7
2 2 3
3 1 0
2 3 2
0 2 3
0 0 2
3 0 3
2 0 1
1 2 3
3 3 0
2 0 0
10 7
1 1 2
1 2 1
0 0 0
2 2 1
2 1 2
2 2 0
0 1 0
2 0 1
2 1 0
2 2 2
10 2
0 1 1
0 1 2
0 2 2
1 2 2
1 1 0
0 0 1
2 1 1
0 0 0
2 1 0
1 0 1
10 3
2 3 2
1 1 1
0 3 0
2 1 1
1 0 0
3 3 1
0 2 0
1 0 1
0 2 3
1 3 2
10 7
0 1 3
0 1 0
3 1 1
1 3 0
1 1 1
2 0 1
1 2 3
3 2 3
0 2 2
0 1 1
10 2
0 0 2
2 2 1
1 3 3
0 1 3
0 0 1
3 0 2
0 0 0
2 0 2
0 3 0
0 2 1
10 6
0 2 0
0 1 2
0 2 1
1 1 0
1 0 0
2 1 2
2 2 2
2 1 0
0 2 2
1 2 0
10 4
3 3 0
0 0 0
3 1 1
2 2 2
3 3 3
2 2 3
0 3 3
0 1 3
1 1 1
1 1 0
10 8
1 3 3
2 2 3
3 1 3
3 0 3
0 3 1
0 2 1
0 2 3
1 1 2
2 1 3
1 0 2
10 3
0 2 0
2 2 1
2 2 2
2 2 0
0 1 1
0 0 1
2 0 1
1 0 2
1 1 1
2 0 0
10 7
2 2 1
2 2 0
0 1 2
0 0 0
1 2 1
0 2 1
0 1 0
1 0 2
0 2 2
1 1 1
10 9
0 2 1
1 1 2
1 1 3
2 0 3
0 2 0
0 1 1
2 3 1
2 2 3
2 0 2
3 0 2
10 2
3 0 3
1 0 2
1 2 0
0 0 0
2 3 1
1 2 1
2 3 0
3 2 3
3 1 0
0 3 3
10 6
0 2 0
0 1 3
1 2 3
3 1 3
3 2 2
1 0 1
2 2 2
1 0 0
0 1 1
3 3 3
10 3
1 2 0
2 0 3
0 3 2
3 2 0
1 3 3
1 3 2
2 2 2
0 1 2
3 3 2
3 2 1
10 7
1 2 0
2 2 2
0 3 1
3 1 3
2 1 1
2 3 3
1 0 1
2 0 0
3 1 0
0 3 0
10 2
0 1 0
2 0 1
2 2 1
1 0 2
0 1 2
0 2 1
0 2 0
2 1 0
2 2 0
1 2 0
10 2
0 1 0
1 1 1
0 2 0
2 2 0
0 2 1
2 2 2
1 1 0
2 1 2
1 2 1
2 0 2
10 2
2 0 2
1 1 1
2 1 2
2 0 1
2 0 0
0 0 0
0 0 2
0 0 1
2 1 1
1 1 2
10 8
2 0 2
1 0 0
2 1 0
0 0 0
0 2 0
2 2 0
0 1 2
0 0 2
0 1 1
0 0 1
10 3
2 1 0
1 0 1
2 0 1
1 1 2
1 2 0
0 1 1
2 2 0
2 0 0
1 1 0
0 1 0
10 5
2 1 2
1 2 0
0 0 1
0 2 0
1 1 2
0 2 1
2 2 1
1 1 1
0 1 1
0 1 0
10 2
1 0 0
1 1 1
2 2 0
1 1 0
0 1 1
1 2 0
0 0 1
1 1 2
0 2 0
0 2 2
10 6
2 3 1
2 0 0
1 3 2
3 0 3
0 1 3
0 1 2
2 1 1
1 2 3
3 2 0
0 0 3
10 7
0 2 2
1 0 2
0 1 3
2 3 1
1 3 0
0 3 2
0 2 0
0 0 3
1 1 2
2 0 1
10 8
1 1 2
0 0 2
1 0 0
2 2 1
0 2 1
0 2 2
1 1 1
0 0 1
2 0 2
2 2 0
10 8
0 0 2
2 0 0
1 2 2
2 2 2
1 0 1
0 1 0
2 2 0
2 0 2
0 2 0
0 0 1
10 6
3 0 1
1 0 2
1 0 3
2 1 2
3 1 3
2 0 3
3 3 1
0 0 3
3 3 0
0 1 0
10 5
2 0 1
2 0 0
0 2 2
2 1 1
1 0 2
1 2 1
0 2 1
1 1 2
0 0 2
1 2 0
10 2
2 2 2
0 2 2
0 2 1
2 1 2
2 1 1
2 2 1
1 0 0
1 2 2
0 0 2
0 0 1
10 5
0 0 1
2 1 1
0 0 2
0 2 2
2 1 0
0 2 0
1 2 2
2 2 0
2 0 2
1 1 2
10 9
1 1 2
1 2 1
0 0 0
0 1 0
0 2 1
2 0 1
1 1 1
2 2 2
2 0 0
0 2 2
10 6
0 2 2
1 1 3
0 2 0
1 1 2
3 2 3
1 2 1
1 0 2
0 0 3
2 0 3
2 3 2
10 9
1 2 0
2 0 0
2 2 1
1 0 1
2 2 2
0 0 0
0 1 1
1 1 1
1 0 0
1 1 0
10 7
0 2 3
2 1 3
1 2 3
3 0 1
0 0 3
3 1 1
2 0 2
2 3 0
1 2 0
0 1 3
10 2
2 2 2
0 2 2
1 0 0
2 1 0
1 1 2
0 2 1
2 2 0
1 2 2
0 0 0
2 1 1
10 7
0 1 2
0 0 0
2 0 0
0 2 0
2 1 2
0 1 1
0 0 1
2 2 1
1 2 1
1 1 0
10 7
1 1 1
2 1 2
1 2 0
1 2 1
2 0 1
0 2 2
0 1 0
2 1 0
2 2 2
1 0 0
10 6
2 1 2
2 1 1
0 0 0
1 0 1
2 2 2
1 1 0
2 2 0
1 2 1
0 2 2
1 2 0
10 9
0 2 1
0 0 1
1 2 2
1 0 0
1 1 1
2 0 0
0 2 2
2 2 0
0 0 0
2 1 1
10 5
2 1 2
1 0 1
2 1 1
1 2 0
1 2 2
2 2 2
2 2 1
0 2 2
2 0 2
2 2 0
10 7
0 1 1
0 1 2
1 0 0
2 3 2
1 2 0
3 0 1
2 1 3
3 3 2
3 3 1
0 2 3
10 9
3 1 0
2 1 3
3 0 3
1 2 1
1 0 0
0 0 3
3 1 3
1 0 3
2 0 2
1 0 1
10 8
0 2 0
2 1 3
3 0 1
2 2 2
2 1 0
0 0 2
1 3 0
3 2 0
3 1 3
3 2 1
10 9
1 0 2
0 2 3
2 1 2
3 0 2
0 3 0
1 3 1
3 2 0
1 2 3
3 3 3
2 1 3
10 2
1 2 1
1 2 2
0 2 3
1 1 3
1 3 0
0 2 0
0 2 1
1 2 0
3 3 0
3 0 1
10 5
1 3 1
0 3 0
1 2 2
3 3 3
2 0 0
2 2 2
2 1 3
2 1 0
2 1 1
2 1 2
10 2
2 2 0
0 1 1
2 0 0
0 2 2
2 2 2
0 1 0
0 0 0
1 1 0
1 2 1
1 0 1
10 6
2 0 2
1 2 2
1 0 0
2 2 2
0 2 1
2 1 1
2 0 0
1 0 1
0 1 0
0 1 2
10 2
2 1 1
2 2 0
1 1 0
1 0 1
1 0 0
2 0 1
0 1 1
1 1 1
0 2 1
0 1 2
10 2
0 2 2
3 0 0
0 0 2
3 0 2
0 2 3
1 1 1
0 3 1
0 0 1
3 2 2
3 1 3
10 5
2 1 3
1 3 1
1 1 2
3 0 2
1 2 3
2 2 0
0 1 2
2 1 0
3 3 1
2 0 2
10 7
0 0 1
1 2 1
1 1 0
0 1 2
2 2 1
2 0 2
1 0 2
0 0 2
1 1 2
0 1 0
10 2
2 1 0
1 1 2
2 2 0
1 1 1
0 2 1
0 0 1
1 0 1
0 0 2
2 1 1
2 0 1
10 5
2 1 1
1 2 1
2 1 2
0 1 1
2 1 0
0 1 0
2 0 0
1 2 2
0 1 2
1 1 2
10 6
2 1 0
0 0 1
1 1 2
2 2 1
2 0 1
1 1 0
0 2 1
0 0 2
0 2 2
2 2 0
10 3
1 0 0
1 1 0
2 1 2
0 3 1
0 3 3
1 2 3
2 1 0
0 2 0
3 0 3
1 3 0
10 3
1 0 2
0 0 1
2 1 0
1 2 1
2 1 2
2 0 2
2 2 1
1 1 2
1 1 0
2 1 1
10 2
2 0 2
1 0 0
1 3 1
2 3 0
3 2 1
0 3 0
2 1 1
2 1 2
3 1 3
0 2 0
10 5
2 0 2
1 2 1
0 1 3
0 0 2
3 3 1
0 2 0
2 1 0
0 3 3
3 0 0
1 0 1
10 7
1 2 2
1 3 3
1 0 0
2 0 0
2 1 3
1 0 3
0 3 1
2 2 2
1 1 0
3 3 0
10 3
2 2 1
0 1 2
1 2 0
0 1 0
3 3 3
0 0 0
3 3 2
0 2 3
0 1 1
0 2 2
10 9
0 1 2
1 0 2
0 1 0
2 0 1
2 1 2
1 1 2
0 1 3
3 1 3
3 3 0
3 0 3
10 8
2 1 0
0 1 0
0 2 1
1 0 2
1 1 2
2 0 1
0 0 2
1 1 1
0 1 1
2 2 0
10 6
0 2 1
0 1 1
1 3 3
0 3 1
0 2 3
0 0 1
3 1 0
3 0 1
1 3 1
0 3 2
10 3
0 0 2
1 1 1
2 0 0
2 2 0
0 1 0
2 2 2
1 2 1
0 0 1
1 1 2
1 0 0
10 4
2 2 2
2 0 0
1 2 1
1 2 0
1 2 2
0 0 1
0 2 2
0 2 1
0 0 0
2 0 1
10 2
1 2 1
0 1 2
0 2 0
2 0 2
0 1 0
2 0 1
1 2 2
1 2 0
2 2 0
2 1 2
10 8
0 1 0
1 0 2
1 0 1
0 0 0
2 1 2
1 2 0
0 2 0
0 0 2
0 1 2
2 2 1
10 8
0 1 0
2 0 0
1 0 3
3 0 0
2 3 3
0 3 3
2 0 3
1 3 3
2 1 3
0 2 1
10 4
2 0 3
1 2 2
3 0 0
0 0 3
1 3 2
0 1 2
2 1 1
0 3 2
1 0 1
3 1 0
10 4
2 0 1
2 0 0
0 0 2
0 0 0
1 2 0
2 1 2
0 0 1
1 0 0
1 1 2
0 2 0
10 2
2 0 1
0 2 1
2 0 2
2 0 0
1 2 2
1 2 1
0 1 1
2 2 1
0 0 0
0 2 2
10 4
0 3 1
2 0 1
2 2 0
1 3 0
1 3 2
1 2 2
2 3 0
1 0 3
0 1 1
3 1 3
10 2
0 0 1
0 2 1
2 2 0
1 0 0
0 0 2
1 2 0
1 1 2
2 2 1
2 1 1
2 1 2
10 6
1 1 1
2 0 1
1 2 0
0 0 2
0 0 1
2 0 0
2 1 0
0 1 2
1 1 0
1 1 2
10 8
1 3 2
1 2 1
0 2 1
0 1 2
2 2 0
1 1 0
0 2 0
3 3 3
0 0 2
2 3 1
10 3
2 0 1
1 0 0
0 1 2
2 2 1
0 1 1
2 1 1
0 0 2
2 2 0
2 1 0
0 2 0
10 6
3 3 1
1 1 2
0 2 1
1 0 2
0 3 1
1 2 3
0 3 2
1 2 2
3 1 3
0 1 2
10 8
2 3 1
0 3 2
1 0 0
3 2 0
2 1 1
1 3 0
3 3 2
1 2 3
2 0 2
0 3 1
10 3
0 2 3
3 0 0
3 2 3
0 3 0
0 2 2
3 1 3
2 2 2
0 3 3
2 3 2
3 1 0
10 6
0 1 1
2 1 3
0 1 3
2 3 2
3 2 3
0 3 3
0 0 2
0 2 3
1 0 1
1 3 1
10 5
1 3 1
3 2 2
2 3 1
3 3 3
1 2 2
0 2 2
3 1 1
2 0 1
2 1 3
1 0 0
10 5
1 1 2
0 1 2
1 1 0
0 2 0
0 2 2
0 0 0
1 2 0
2 1 1
1 2 2
0 0 1
10 7
1 2 1
2 1 0
0 0 2
1 1 0
1 0 2
1 1 1
0 0 0
1 2 0
1 0 1
0 1 0
10 4
2 0 1
1 1 2
1 0 0
1 0 2
2 2 1
2 2 0
2 2 2
0 1 2
1 2 1
2 1 2
10 8
0 2 1
1 1 0
2 1 1
1 1 2
0 1 2
0 1 1
2 1 0
2 0 2
2 2 2
1 2 0
10 8
0 2 2
0 1 2
0 0 1
2 0 1
2 0 2
2 1 2
2 1 0
1 0 1
1 0 0
2 2 2
10 7
2 1 2
2 0 2
0 2 1
0 0 2
1 1 1
1 0 2
0 0 0
0 1 2
1 2 1
2 1 1
10 8
2 2 0
2 0 1
2 0 0
1 2 2
2 1 2
3 3 0
3 2 1
0 1 1
3 2 3
1 1 1
10 3
2 0 2
0 1 0
0 0 2
2 0 0
0 0 1
1 0 2
2 2 0
1 2 0
0 2 2
2 1 1
10 4
3 3 3
3 2 2
2 3 3
0 1 0
3 0 2
0 0 1
0 2 1
1 3 0
0 0 2
3 0 0
10 2
2 2 2
0 1 1
0 2 1
2 0 1
0 0 1
0 0 2
2 1 0
1 1 0
0 1 2
1 1 1
10 4
1 1 3
3 1 2
3 2 1
2 0 3
1 2 2
0 0 0
0 0 3
1 0 1
1 3 2
0 1 3
10 6
1 2 2
0 2 1
2 0 1
0 1 2
1 2 0
1 0 0
0 0 1
0 0 0
1 1 2
2 2 0
10 8
0 2 1
1 2 1
0 0 1
2 2 0
1 1 1
1 0 2
1 1 2
1 0 0
0 2 2
1 2 2
10 3
0 2 0
2 1 1
3 1 3
2 0 2
1 2 1
0 2 1
0 1 0
2 2 1
0 1 1
1 3 0
10 9
1 1 1
0 1 0
2 0 2
1 1 2
0 0 0
1 0 1
2 0 0
1 2 0
1 0 0
0 2 1
10 8
1 0 0
2 1 1
1 2 0
2 0 0
2 1 2
0 0 2
0 2 1
1 1 1
1 2 1
2 0 1
10 4
3 0 2
0 0 2
3 1 1
1 0 2
1 0 0
2 0 1
2 2 3
1 1 3
2 3 0
0 3 0
10 5
0 2 0
0 1 1
1 2 1
0 1 2
1 1 2
1 2 0
2 2 2
1 1 1
1 0 1
2 0 0
10 2
1 1 2
0 2 0
2 2 0
2 0 0
3 0 1
1 0 3
3 1 3
1 3 1
2 0 2
3 3 3
10 4
2 3 3
0 2 2
2 1 0
3 2 0
3 1 2
0 1 2
3 3 3
1 1 3
1 2 2
3 1 3
10 9
2 2 2
0 1 1
2 0 2
0 2 2
0 0 2
0 0 1
2 1 2
2 0 1
2 2 1
2 0 0
10 6
3 0 3
0 1 0
0 0 3
1 0 3
0 0 2
2 1 2
0 3 1
1 1 0
0 2 1
2 0 3
10 5
1 1 0
1 2 1
2 1 2
0 1 1
2 0 0
1 1 1
1 2 2
2 1 0
0 0 2
0 0 0
10 3
1 2 2
0 2 2
2 2 2
0 1 0
2 2 1
0 1 1
2 0 1
0 1 2
1 2 0
0 2 0
10 3
2 2 2
1 1 1
2 2 1
0 1 2
1 1 2
2 2 0
0 1 1
2 1 2
2 0 2
1 0 1
10 5
2 1 2
0 1 1
0 2 1
2 0 1
0 0 2
1 1 0
2 2 2
2 0 2
1 1 1
0 0 1
10 4
3 2 1
0 2 2
3 0 0
1 1 3
2 1 1
1 1 0
2 3 1
0 0 1
2 3 3
1 2 0
10 4
3 0 2
2 0 2
0 3 2
2 3 1
3 2 2
3 1 3
2 1 3
1 2 3
2 2 2
0 1 1
10 8
0 3 1
3 0 3
2 1 0
2 0 3
3 1 2
3 3 3
0 0 0
2 0 1
3 3 2
3 1 0
10 8
1 2 2
1 1 2
2 0 1
2 1 2
0 0 0
1 1 1
0 2 2
2 0 0
1 0 1
2 2 2
10 6
2 1 0
1 0 0
0 0 1
1 2 1
0 1 0
1 1 1
1 0 1
0 0 0
2 0 1
2 0 2
10 2
1 0 3
2 3 2
0 2 2
3 0 3
3 3 1
0 1 2
0 0 0
1 2 2
3 1 3
0 0 2
10 8
2 1 1
2 2 0
2 2 1
2 2 2
1 2 2
2 0 1
0 1 2
2 1 0
0 0 2
0 1 1
10 6
0 0 0
2 0 2
1 0 0
0 1 1
0 1 2
2 1 1
2 2 2
2 2 1
1 1 1
1 0 1
10 7
3 1 2
3 2 2
2 1 0
3 3 0
3 2 3
1 0 3
0 3 2
2 0 0
3 0 2
0 0 3
10 7
1 1 2
0 2 0
0 1 2
2 2 1
2 1 0
2 0 1
0 0 1
0 2 1
0 1 0
2 0 0
10 3
0 1 2
1 0 0
2 0 1
2 1 1
0 0 0
2 0 2
1 0 2
0 2 2
0 1 0
0 0 1
10 4
2 1 1
3 1 2
3 3 3
3 0 3
0 2 0
2 3 3
2 2 0
0 1 1
2 1 2
0 0 0
10 5
3 3 0
2 1 1
2 0 3
0 3 1
1 1 1
3 1 0
0 0 2
3 1 3
3 2 1
3 1 1
10 7
0 0 2
1 2 1
1 3 2
2 2 1
2 2 2
0 2 1
0 1 2
3 2 1
0 3 3
2 3 3
10 9
1 1 2
0 2 2
2 2 0
1 3 2
3 3 2
1 2 0
3 0 0
2 2 2
0 1 3
0 1 2
10 7
3 3 0
2 2 1
0 0 0
2 1 1
0 3 3
0 3 1
1 0 0
1 3 3
1 1 3
2 0 3
10 2
2 0 3
0 2 2
2 2 0
1 1 0
0 0 3
2 2 2
3 3 1
2 1 2
1 0 3
0 3 3
10 7
0 1 0
1 2 2
0 2 0
0 0 0
0 2 1
1 2 1
1 1 2
2 2 0
2 2 2
1 0 1
10 8
0 0 0
2 1 1
0 0 1
0 0 2
0 1 0
2 2 2
0 2 1
2 0 1
0 2 2
1 0 2
10 9
2 0 0
0 1 1
0 1 2
1 2 0
0 0 0
0 0 1
1 2 2
0 2 2
2 2 2
1 1 1
10 6
2 2 2
1 2 0
2 1 0
2 0 0
0 0 2
1 2 2
1 2 1
2 1 2
1 0 0
1 1 1
10 8
3 2 0
1 2 2
0 2 2
2 0 0
1 0 0
3 3 0
1 3 1
3 1 3
2 2 3
2 1 2
10 3
0 1 2
2 1 0
2 1 1
0 0 1
2 0 1
2 1 2
1 1 0
2 2 0
0 1 1
2 2 1
10 7
1 1 0
0 2 0
3 0 2
3 3 3
0 1 1
1 0 1
0 3 1
3 1 2
1 0 0
0 1 3
10 6
2 1 0
1 1 1
0 1 0
1 0 3
2 3 0
3 2 3
2 1 1
3 0 2
1 1 2
1 1 0
10 9
1 0 0
3 2 1
0 2 2
3 0 2
1 2 0
1 1 3
1 0 2
3 0 1
2 1 2
2 3 0
10 8
3 3 2
0 1 1
0 1 3
0 3 3
2 2 1
3 1 1
3 0 3
1 1 3
1 3 2
3 0 2
10 7
2 2 3
1 2 1
0 1 3
3 3 1
1 2 3
1 3 1
1 1 1
2 3 1
1 3 2
2 3 3
10 6
2 1 1
0 0 2
1 0 0
2 0 1
1 1 2
2 1 2
0 1 0
2 2 0
2 2 1
0 0 1
10 4
3 1 2
1 0 2
2 2 1
3 2 2
2 0 0
0 0 2
0 3 1
1 3 0
1 0 3
2 0 2
10 5
3 1 2
0 3 2
0 3 3
2 1 3
1 0 1
1 0 0
2 2 0
2 3 2
1 2 2
0 1 0
10 6
3 2 2
3 0 2
3 1 0
2 1 2
0 2 3
1 0 1
2 1 0
2 3 0
0 0 2
1 3 3
10 9
1 0 2
1 1 2
0 1 1
1 0 0
0 2 1
0 0 0
1 2 2
1 1 0
0 0 1
1 0 1
10 6
2 1 0
0 2 0
1 1 0
2 0 2
1 0 0
1 1 2
0 2 2
2 0 0
0 2 1
0 1 0
10 6
2 1 2
3 1 0
0 1 2
0 0 3
0 1 0
3 1 1
3 1 3
3 0 3
2 3 3
1 2 1
10 4
2 1 3
2 0 0
1 3 1
2 3 3
2 2 3
0 3 3
3 1 3
1 2 3
1 2 1
3 0 3
10 4
2 3 0
3 1 1
1 2 2
3 3 2
1 2 1
3 3 0
1 3 0
2 1 1
1 3 1
3 2 0
10 7
0 2 1
0 3 0
2 1 3
0 3 3
0 1 1
0 2 2
1 1 1
3 2 1
3 1 2
1 0 3
10 2
2 1 0
0 0 0
0 2 2
0 0 1
1 1 1
2 0 1
1 2 1
1 1 0
2 1 1
0 1 1
10 6
1 3 0
1 0 1
0 1 1
0 3 1
0 1 3
2 1 3
1 0 0
2 2 3
3 1 1
0 2 2
10 4
0 2 2
1 1 0
0 2 0
1 2 1
1 0 0
2 1 1
0 1 2
2 0 2
2 2 0
2 2 2
10 3
1 0 2
2 1 1
2 1 0
1 2 2
1 1 1
1 2 0
0 1 2
2 2 2
0 0 1
2 0 1
10 2
2 3 1
2 2 3
1 1 0
0 3 1
1 0 3
3 1 3
2 1 3
2 1 1
0 0 0
0 3 2
10 2
1 2 2
0 3 2
1 0 2
3 2 2
3 2 0
2 0 3
3 3 3
1 1 2
2 2 2
3 1 0
10 7
2 1 0
0 1 1
2 0 1
0 1 2
1 1 0
0 0 1
2 2 0
1 2 2
0 0 2
1 1 1
10 5
2 2 1
1 1 0
0 3 1
1 1 3
0 0 3
2 0 3
0 1 3
3 3 2
1 1 1
2 3 0
10 9
3 0 2
0 3 0
0 0 3
0 3 3
1 3 2
3 2 3
0 1 0
1 2 2
0 2 2
1 0 2
10 2
0 2 1
0 2 0
2 1 2
1 1 1
0 0 0
2 0 1
2 2 0
1 2 1
2 2 1
2 1 0
10 9
1 1 0
2 2 2
0 0 0
1 2 2
2 1 2
0 1 2
1 1 1
2 0 1
2 1 1
0 1 0
10 8
2 0 0
3 2 3
2 2 3
3 0 1
2 3 3
1 2 1
2 2 0
1 0 1
1 2 2
3 1 1
10 2
1 0 2
1 1 1
0 0 2
2 2 0
0 0 1
0 1 0
2 2 1
1 0 0
0 1 1
1 1 0
10 8
1 2 0
0 1 2
2 0 0
0 0 2
1 1 1
2 0 1
2 2 2
1 2 1
1 1 0
2 1 2
10 6
3 1 0
2 0 3
0 1 3
2 3 3
2 2 1
0 0 1
3 3 0
1 0 1
3 2 2
0 1 0
10 8
1 1 0
2 1 2
1 2 0
2 0 2
0 2 0
2 1 0
0 0 0
1 0 1
0 1 0
0 1 2
10 3
3 3 1
2 1 2
0 3 0
1 1 2
0 3 2
2 1 0
0 2 1
3 0 0
0 0 0
2 3 2
10 6
2 1 2
1 0 2
1 2 0
1 1 0
0 0 0
2 0 2
1 2 1
0 0 2
2 1 0
0 0 1
10 2
0 0 0
2 1 1
0 0 2
1 2 1
1 1 0
0 2 2
2 0 2
1 0 1
2 2 2
0 1 1
10 9
1 1 3
1 0 3
3 1 1
0 0 1
1 1 0
3 2 2
2 1 0
2 0 2
2 3 0
1 3 3
10 6
0 1 1
1 2 0
2 1 2
2 1 1
1 0 2
0 0 1
2 0 0
1 1 0
2 2 2
1 0 0
10 2
1 2 0
0 1 0
1 0 2
0 0 0
1 1 0
1 1 1
0 2 2
0 0 1
0 2 1
2 1 2
10 5
2 0 0
2 1 1
3 0 2
3 3 0
0 3 1
2 2 0
1 0 0
0 1 0
0 2 0
3 0 1
10 2
1 0 0
1 2 1
1 1 1
0 2 2
2 2 2
0 0 0
1 1 0
1 2 0
1 1 2
1 0 2
10 5
2 3 0
0 0 2
3 1 0
1 2 1
2 2 0
1 2 3
1 3 0
3 2 2
2 0 2
3 1 1
10 4
3 2 1
0 3 3
2 3 0
2 2 3
2 2 0
1 2 1
0 0 2
3 1 1
3 0 2
1 3 2
10 8
0 0 1
3 1 3
3 0 1
2 2 0
2 0 3
2 3 1
3 0 0
1 3 1
0 3 2
0 2 2
10 4
3 1 1
0 1 1
2 1 0
3 3 2
2 0 0
3 1 3
3 3 1
1 0 1
2 0 2
3 2 2
10 7
0 2 0
3 3 3
0 2 3
3 3 1
0 0 3
1 2 3
1 0 0
1 2 1
2 0 3
3 3 2
10 8
2 0 0
3 1 2
1 2 2
1 2 1
0 1 0
3 0 0
3 3 1
2 1 0
1 1 2
3 0 3
10 7
0 2 1
2 0 1
2 2 0
2 1 0
1 0 3
1 1 1
0 0 2
2 2 1
0 1 0
1 3 0
10 5
0 1 1
0 0 2
0 0 0
0 2 0
2 1 0
1 0 0
1 2 1
1 2 2
2 2 0
2 1 1
10 3
3 1 1
1 3 1
3 2 2
1 3 2
0 3 2
3 2 0
1 1 1
3 2 1
2 2 2
0 2 3
10 5
0 0 1
0 0 2
2 1 0
0 2 1
2 0 2
2 0 1
1 1 1
1 1 0
1 1 2
0 1 1
10 9
0 3 3
0 1 1
3 0 1
1 1 0
3 1 1
0 2 0
2 0 2
1 3 0
0 0 0
1 0 0
10 6
2 1 0
0 2 0
0 0 1
0 2 1
1 1 2
0 0 0
0 1 1
2 1 2
1 1 1
2 1 1
10 3
1 2 2
0 0 0
2 0 2
2 1 1
0 1 1
1 2 0
1 0 2
0 2 2
2 0 0
1 2 1
10 4
0 1 1
1 3 3
0 2 2
3 1 3
1 2 3
2 0 0
2 1 2
2 3 3
3 3 2
0 2 3
10 9
1 1 2
3 0 1
3 2 0
2 0 3
2 2 3
3 1 0
0 1 3
2 2 2
2 1 1
2 1 2
10 5
2 1 1
2 2 1
3 2 3
0 2 2
1 2 0
0 1 2
0 2 1
2 3 2
1 3 2
1 1 2
10 4
1 2 0
2 1 1
0 2 2
0 0 0
1 0 2
0 0 1
0 1 1
2 2 2
2 0 1
0 0 2
10 2
2 1 1
2 1 2
0 2 1
2 0 2
1 1 1
0 0 2
2 2 2
1 2 1
0 2 0
1 2 0
10 6
2 1 1
2 0 0
2 2 2
0 1 2
0 0 1
1 0 0
2 2 1
0 0 2
0 1 1
1 0 2
10 2
3 1 3
3 0 2
3 3 2
3 2 2
0 0 1
2 2 0
2 3 2
2 0 2
1 0 3
1 3 3
10 4
1 3 3
3 3 0
0 0 1
3 1 1
0 1 3
2 3 0
2 1 0
3 0 0
3 2 3
3 1 3
10 4
0 2 3
3 1 2
3 0 0
3 3 2
3 2 2
3 1 3
2 3 0
2 2 0
0 3 0
2 0 3
10 4
2 1 1
1 2 3
0 3 2
1 0 2
0 1 2
3 0 3
3 2 0
0 2 0
3 3 2
2 3 0
10 6
2 0 1
1 1 1
0 1 2
2 0 2
2 2 0
1 0 2
1 2 0
1 2 1
1 1 0
0 0 1
10 3
1 2 3
0 1 0
2 1 1
1 3 1
0 3 0
3 1 3
0 2 0
0 2 3
3 2 2
1 1 1
10 4
0 1 0
2 2 1
2 1 1
1 0 2
2 0 2
2 0 0
2 2 2
0 1 2
1 0 0
0 0 2
10 6
2 2 0
0 3 1
0 2 3
1 2 1
3 3 2
3 1 1
1 3 0
3 1 2
2 2 1
2 1 0
10 3
3 1 1
2 2 1
3 0 2
0 2 1
2 0 1
3 2 3
2 1 0
2 0 3
0 1 0
2 3 2
10 8
2 0 2
0 1 0
1 2 2
0 0 0
1 1 2
2 0 0
1 0 0
1 0 1
2 1 1
0 2 2
10 3
2 1 1
0 0 2
1 1 2
0 0 0
1 2 0
2 1 0
2 0 0
2 0 2
1 2 2
0 1 2
10 6
2 1 0
1 0 2
0 0 1
3 1 3
0 1 2
0 3 2
0 2 2
3 2 0
0 3 3
2 0 2
10 7
2 1 0
2 1 1
0 2 0
0 1 2
1 3 0
1 0 0
3 1 3
3 0 1
0 2 3
2 0 2
10 9
0 2 2
2 2 2
0 1 2
2 2 0
0 2 0
0 0 0
2 1 1
2 0 2
1 0 0
1 2 1
10 5
2 1 1
1 2 2
3 0 3
3 1 2
1 2 3
2 1 3
2 1 2
2 3 2
0 3 3
2 3 1
10 8
0 2 1
0 2 2
2 2 1
1 0 0
3 0 2
0 2 3
3 1 1
1 2 2
0 3 0
1 2 1
10 8
0 1 0
0 0 1
1 0 1
2 1 1
0 2 2
1 0 2
2 1 2
0 1 1
2 2 1
1 1 1
10 3
0 0 1
3 2 3
3 1 1
3 2 2
1 2 1
1 3 3
3 2 1
2 2 0
0 1 2
0 1 0
10 5
1 1 2
0 2 0
1 2 0
2 1 0
1 1 1
2 1 2
2 0 1
0 1 1
0 1 2
1 0 0
10 9
2 0 1
2 0 2
0 0 0
1 2 1
1 2 0
2 2 2
0 2 1
1 1 0
0 1 2
0 1 1
10 4
0 0 0
1 1 1
0 1 1
0 2 0
2 0 0
0 2 1
1 0 0
1 2 2
1 1 2
1 2 1
10 3
1 1 0
2 0 2
0 2 0
0 0 0
0 0 1
0 0 2
2 2 2
2 2 1
0 1 1
0 1 0
10 3
0 1 0
1 1 1
0 1 2
1 1 2
1 0 2
0 0 2
2 0 0
0 0 0
2 0 1
1 1 0
10 2
0 2 1
0 0 1
1 1 0
1 0 2
2 2 2
1 0 1
2 1 2
2 1 1
0 0 0
1 1 1
10 5
0 0 3
3 2 1
2 3 2
3 1 1
2 3 0
2 3 3
1 0 0
2 0 3
2 2 2
0 0 1
10 4
0 3 1
2 0 0
3 3 2
0 1 3
2 3 2
3 1 1
3 0 0
1 3 0
3 2 2
0 3 0
10 6
2 0 2
2 2 0
0 0 2
2 2 1
0 2 0
2 0 0
1 0 1
2 1 0
2 0 1
0 2 1
10 3
3 3 0
0 0 0
3 1 2
3 1 3
2 0 0
1 0 1
3 2 3
3 0 1
0 2 2
3 0 3
10 4
1 1 2
2 3 0
3 3 2
3 1 2
3 0 1
3 0 2
2 1 0
0 0 3
2 2 1
1 3 0
10 6
1 1 0
2 1 1
1 2 1
2 2 1
0 1 2
1 0 1
2 0 0
2 0 1
0 0 0
2 2 0
10 3
3 2 1
1 1 0
2 0 3
3 1 0
3 3 0
0 3 0
2 0 2
0 3 3
1 0 1
2 3 0
10 5
0 2 3
0 3 2
1 0 0
1 1 2
2 3 3
3 3 3
0 3 3
0 2 2
2 2 2
1 0 3
10 4
0 2 0
1 1 1
2 2 0
1 2 1
1 0 0
2 2 1
2 1 1
1 1 2
0 1 0
2 0 2
10 9
1 0 1
3 1 0
0 0 2
2 2 1
3 2 1
2 1 3
3 0 2
2 1 2
2 2 2
1 3 0
10 8
0 0 2
1 2 0
0 1 1
2 0 1
1 1 2
0 2 0
1 0 0
1 1 1
2 0 2
0 1 0
10 2
0 0 1
1 1 1
0 1 1
1 1 0
1 0 2
0 1 0
2 1 0
0 2 1
1 0 1
2 2 1
10 7
0 0 0
0 2 1
1 0 1
2 0 2
2 1 0
2 2 1
2 2 2
2 0 1
1 2 2
1 1 2
10 3
0 2 2
0 0 0
0 3 1
3 0 3
2 2 0
1 2 0
3 2 1
3 2 0
0 0 1
3 1 1
10 4
2 0 2
3 1 1
0 0 3
2 2 1
3 3 0
2 3 3
2 1 2
0 3 3
1 2 1
3 2 1
10 2
2 2 2
0 1 0
0 1 2
0 2 0
2 0 2
0 2 2
0 1 1
1 1 2
2 1 0
1 2 1
10 4
2 2 3
3 0 2
1 0 1
3 0 3
2 3 3
0 2 2
1 1 0
3 2 2
3 2 1
0 0 0
10 5
1 2 2
3 3 2
0 0 3
2 1 0
2 3 2
1 3 3
3 1 2
1 0 3
0 3 3
3 2 1
10 4
1 1 3
2 1 0
2 3 2
0 2 2
1 0 2
1 0 0
3 2 2
1 3 0
0 1 2
2 3 0
10 2
1 1 2
2 1 3
2 2 1
2 0 1
2 2 3
3 3 1
1 2 0
2 1 1
3 2 1
3 1 0
10 9
0 2 0
0 1 2
2 1 1
2 2 2
0 2 2
1 0 0
1 0 2
2 2 0
2 0 2
0 0 0
10 2
2 1 0
0 0 1
1 0 1
1 2 1
2 1 2
1 1 1
1 0 2
0 0 0
0 1 0
2 0 2
10 2
0 0 2
2 2 1
0 2 0
0 1 0
0 1 1
2 1 1
1 2 1
2 0 2
2 1 0
2 2 0
10 3
2 1 0
2 1 1
1 0 0
1 1 0
1 0 2
0 0 2
2 2 2
2 0 0
0 2 2
0 1 0
10 4
2 0 2
2 0 1
2 1 2
1 0 3
1 3 1
1 0 2
0 0 0
1 0 0
0 1 0
2 0 0
10 8
3 0 1
0 2 1
1 2 2
3 0 3
3 1 1
1 0 0
2 3 0
1 1 2
3 2 1
3 1 3
10 8
1 3 2
0 0 3
1 1 2
3 0 1
1 2 2
1 1 1
0 3 0
1 3 0
1 1 3
0 1 3
10 2
0 0 1
0 1 0
2 2 2
2 0 2
1 1 1
1 2 1
2 1 1
2 2 1
0 0 2
0 2 0
10 3
2 2 2
2 2 1
1 0 1
1 2 0
0 1 2
2 2 0
2 1 0
0 0 1
1 2 2
2 0 1
10 4
0 0 0
3 1 0
0 0 1
1 3 1
0 0 2
3 2 0
2 2 3
1 0 0
0 1 0
1 0 3
10 9
2 2 1
2 0 0
1 0 1
1 1 0
2 2 0
1 0 0
2 0 2
0 2 2
2 0 1
0 1 0
10 4
0 0 1
0 0 0
2 0 0
0 0 2
1 0 1
0 1 0
2 2 0
1 0 2
2 2 2
0 1 2
10 7
2 2 2
1 2 2
0 3 2
3 2 2
1 2 1
1 0 2
3 3 1
2 3 0
3 0 0
1 2 0
10 4
1 0 1
1 2 2
2 0 2
0 1 1
2 1 1
2 1 0
2 2 0
0 2 0
0 0 2
0 0 0
10 7
3 1 2
0 2 2
2 2 0
3 2 1
1 3 3
2 2 3
2 3 0
1 3 1
1 3 0
0 0 3
10 6
1 0 0
2 0 2
2 2 1
0 0 0
0 2 0
0 0 2
2 1 2
2 0 0
1 1 0
2 1 1
10 8
2 1 0
1 1 0
1 0 2
0 1 0
0 2 2
2 0 2
1 2 1
2 2 2
0 1 1
0 1 2
10 2
0 0 2
1 1 0
2 1 1
0 1 1
0 0 1
0 1 0
2 1 0
2 0 0
1 2 2
2 1 2
10 6
0 1 0
1 2 0
0 3 1
3 0 0
1 2 2
0 0 1
0 2 1
2 0 1
0 3 0
2 2 2
10 4
1 2 0
0 1 0
0 3 0
3 3 1
2 3 3
2 0 3
2 2 3
1 1 0
2 2 2
0 2 2
10 5
1 1 0
1 0 0
3 0 1
3 0 3
2 1 1
2 0 2
2 1 3
0 1 3
3 2 0
0 2 2
10 2
0 1 1
1 0 2
2 1 1
2 1 0
2 2 1
1 0 0
2 1 2
0 2 0
2 2 2
2 2 0
10 8
2 0 3
3 3 0
1 0 2
1 1 0
1 0 1
1 2 1
1 1 1
3 0 2
3 2 1
1 1 3
10 6
1 2 2
2 2 0
2 2 1
0 2 2
1 0 0
2 2 2
0 1 2
2 1 0
1 0 2
0 0 2
10 8
0 0 1
1 0 1
1 0 0
2 1 2
0 0 2
0 1 2
2 1 0
1 1 1
1 1 2
1 2 1
10 4
2 1 1
2 2 2
1 1 2
2 2 0
2 2 1
1 1 1
1 0 2
1 0 1
1 0 0
2 0 2
10 3
0 3 1
1 1 0
3 1 3
2 3 2
0 3 2
1 2 1
0 0 3
0 2 2
2 2 3
2 1 0
10 6
1 0 0
2 1 1
1 1 0
1 0 1
0 1 1
0 2 2
2 2 2
2 0 2
0 2 0
0 0 0
10 8
3 3 2
0 2 0
0 1 0
1 0 3
1 3 0
0 1 3
1 2 1
2 2 3
1 1 2
0 3 1
10 4
3 1 1
0 0 1
3 2 3
0 1 1
2 1 2
0 1 2
1 0 0
2 3 2
0 3 2
3 1 3
10 6
2 3 2
1 1 1
0 0 0
2 1 2
1 2 2
1 0 1
1 0 2
3 2 1
1 3 0
3 1 1
10 5
1 2 0
1 1 0
0 0 0
2 2 1
2 0 0
0 0 2
0 1 0
2 0 2
0 2 1
0 2 2
10 4
1 0 2
2 1 1
0 2 0
2 1 2
2 1 0
0 1 1
0 0 2
2 2 1
0 1 0
1 2 1
10 8
2 1 2
0 1 2
1 2 0
0 1 0
1 1 1
1 0 2
0 2 1
2 2 2
2 1 1
0 1 1
10 7
0 0 2
1 2 2
3 0 2
3 3 3
3 2 0
2 0 2
0 0 3
2 0 1
2 1 1
3 2 2
10 5
2 3 2
3 0 2
1 1 1
2 1 2
0 0 0
1 3 2
3 1 3
0 2 1
2 1 0
1 0 1
10 8
2 2 0
2 3 2
3 2 3
1 3 2
0 3 3
0 2 3
1 1 2
2 2 1
2 1 1
2 0 0
10 8
0 1 3
0 1 1
0 3 2
0 2 2
1 0 0
1 1 0
0 1 2
1 2 2
0 0 0
0 2 1
10 4
2 0 2
2 1 2
0 0 0
2 2 2
0 2 1
0 2 0
0 1 1
1 1 0
2 2 0
2 2 1
10 8
1 3 1
1 3 0
3 3 0
3 1 0
3 3 1
2 3 1
3 0 2
1 3 3
1 2 3
3 1 3
10 6
0 0 2
0 0 0
1 2 3
2 1 0
2 2 3
0 3 2
1 1 0
0 2 2
2 2 2
0 3 1
10 6
1 0 1
1 2 1
2 0 1
0 1 1
2 0 2
0 1 0
2 1 0
0 1 2
0 0 1
1 1 0
10 9
2 2 0
0 1 0
0 0 1
2 1 0
2 1 2
1 0 1
2 0 0
1 1 1
0 2 0
2 1 1
10 2
2 1 3
0 1 2
1 2 2
0 0 2
1 0 0
0 2 2
1 1 3
2 3 0
1 3 0
1 0 1
10 7
2 1 0
1 2 0
1 0 2
1 1 1
0 1 0
0 2 0
0 1 1
0 1 2
2 0 2
1 1 0
10 7
2 2 2
0 1 0
1 2 2
0 2 0
1 2 0
0 1 2
1 0 0
2 1 1
0 2 1
1 0 1
10 7
0 3 2
2 2 1
2 0 3
1 1 1
0 3 3
3 1 2
0 2 2
2 3 1
3 1 1
3 3 3
10 7
3 1 1
2 2 3
3 2 1
2 3 3
1 1 3
1 0 1
2 0 0
0 0 2
1 2 2
0 3 3
10 4
0 1 0
1 1 0
1 0 1
3 0 2
2 2 2
3 2 0
0 0 0
0 2 0
1 0 2
1 2 0
10 9
2 2 1
2 0 1
0 0 1
0 1 1
1 1 1
0 0 2
0 2 0
0 2 1
2 1 2
0 1 0
10 4
0 1 0
2 1 1
2 1 2
2 0 0
1 0 2
2 2 2
0 2 2
0 1 2
2 1 0
0 0 0
10 4
2 0 2
0 0 2
0 2 0
2 0 0
1 2 0
0 1 0
1 0 0
0 0 0
0 1 1
1 0 1
10 8
1 0 2
0 2 2
1 0 1
2 2 2
1 0 0
1 2 2
2 0 2
0 2 0
0 0 0
0 1 0
10 7
2 1 2
3 3 2
1 1 1
3 1 2
0 1 0
2 1 3
2 0 3
1 3 0
1 2 2
2 3 1
10 7
0 2 0
1 1 2
1 1 0
0 0 1
2 1 1
1 2 1
0 2 2
1 0 1
2 0 1
2 0 0
10 4
2 1 3
2 1 2
2 3 0
3 2 1
1 3 0
1 1 0
0 0 3
0 3 0
3 2 3
2 0 2
10 9
0 0 2
3 3 2
0 2 1
1 1 2
1 0 3
2 2 1
1 2 1
2 1 0
3 1 0
1 2 3
10 6
0 3 2
3 1 1
1 0 1
1 1 2
1 3 0
3 3 2
3 2 2
2 3 3
0 2 1
3 0 2
10 9
1 0 0
0 0 0
1 1 2
2 1 0
0 1 2
1 0 1
2 2 0
0 1 1
2 0 1
0 0 1
10 3
0 0 2
0 1 0
3 0 0
2 0 2
3 2 0
0 3 3
3 2 2
2 0 1
3 0 2
0 3 2
10 5
1 3 3
2 0 2
1 0 2
3 3 3
0 0 2
2 3 3
0 2 2
3 1 1
3 0 2
1 1 0
10 2
1 1 0
1 0 0
1 2 0
0 1 1
3 2 0
3 1 3
2 0 3
2 3 1
3 0 0
2 3 2
10 4
2 2 1
0 1 0
2 0 2
1 2 0
0 2 2
0 2 0
2 0 0
0 1 1
0 2 1
0 0 0
10 3
0 1 1
2 0 1
1 2 1
1 1 2
2 0 2
1 0 0
0 1 0
1 2 2
2 1 0
2 0 0
10 4
3 2 2
1 3 3
3 1 0
3 3 2
2 2 0
0 1 0
2 3 3
3 3 0
0 1 3
3 2 3
10 8
1 0 0
0 0 0
0 1 1
2 0 0
1 2 1
0 1 2
1 0 2
2 0 2
1 1 2
0 2 0
10 2
0 1 0
2 2 2
1 1 1
0 0 0
1 0 2
1 0 0
1 2 0
1 0 1
1 1 0
0 0 1
10 7
0 0 1
1 0 0
2 2 2
2 2 0
0 0 0
2 0 2
1 1 0
0 1 1
2 2 1
2 1 1
10 5
0 0 0
1 0 0
0 1 0
0 2 0
1 1 1
2 2 2
2 0 2
2 1 0
2 0 1
0 2 2
10 5
1 0 0
1 2 0
2 0 0
0 1 2
2 2 0
0 2 2
2 1 0
0 1 1
1 2 1
0 1 0
10 8
2 1 1
0 3 0
2 2 1
3 2 3
3 3 2
3 3 0
1 2 2
3 1 1
2 2 3
2 0 2
10 7
2 2 2
2 0 0
0 1 2
2 2 0
0 0 0
1 1 1
1 1 0
1 2 1
0 2 1
0 1 0
10 3
2 1 0
2 1 1
0 1 2
1 1 1
1 1 2
2 0 0
2 2 1
1 2 2
2 2 0
1 1 0
10 4
2 2 2
0 1 0
1 0 1
1 0 0
1 1 0
0 1 2
0 2 1
1 2 1
2 1 1
2 0 2
10 5
0 0 0
2 0 0
2 2 1
1 2 1
0 0 1
2 0 1
1 1 0
2 0 2
2 2 0
1 2 0
10 2
0 0 3
3 2 0
0 1 3
2 2 1
0 1 1
3 1 0
2 2 2
1 1 2
0 3 0
1 3 0
10 2
1 1 2
2 0 0
2 1 0
2 2 0
2 2 2
2 1 1
2 0 1
0 0 2
1 0 2
1 2 1
10 4
1 2 3
0 2 3
2 2 2
3 1 1
3 3 1
0 1 0
1 3 2
2 0 0
3 3 0
2 2 1
10 7
1 2 2
2 1 1
2 2 2
2 2 1
0 2 2
1 0 0
0 2 1
2 0 2
2 1 0
2 1 2
10 6
1 1 0
2 2 0
1 2 1
2 0 2
0 1 1
2 1 0
0 1 2
0 0 1
1 0 0
2 0 0
10 9
0 0 2
0 2 0
2 3 2
2 3 0
1 2 3
1 3 0
0 2 3
0 0 3
3 2 2
3 2 3
10 7
0 0 1
1 1 1
0 1 0
1 1 2
2 1 1
2 2 1
0 2 0
0 1 1
2 2 2
2 1 2
10 2
2 2 1
1 0 0
1 2 2
2 1 0
1 1 0
0 2 2
1 2 1
2 0 1
1 0 1
2 2 0
10 5
0 0 0
0 0 2
2 0 1
2 1 0
1 1 1
1 2 0
0 1 2
1 0 0
2 2 0
2 2 1
10 3
0 1 1
0 0 2
1 1 0
0 2 1
1 0 2
2 0 0
0 2 0
0 1 2
2 1 1
1 2 2
10 8
2 2 0
1 3 3
0 3 1
0 2 2
3 2 0
3 3 1
2 0 0
2 3 3
2 3 2
0 0 0
10 5
2 0 0
3 2 3
1 2 0
2 0 3
3 3 2
2 3 2
0 0 0
0 1 2
1 1 3
1 3 2
10 3
2 0 2
0 1 1
2 2 1
0 2 0
1 0 2
0 2 1
1 0 0
2 0 1
1 0 1
2 1 0
10 4
0 3 1
3 3 2
2 2 3
1 3 0
3 3 0
2 0 0
0 1 2
1 0 1
2 0 2
1 2 2
10 2
0 0 0
2 0 1
0 0 1
2 2 1
1 0 0
0 2 1
0 2 2
0 1 2
1 1 2
0 1 0
10 8
1 2 1
1 0 1
2 2 0
2 2 2
1 1 1
0 0 1
2 0 1
2 2 1
0 0 0
2 0 0
10 5
0 0 3
1 0 0
1 1 1
1 0 3
0 2 1
1 3 3
3 3 3
2 0 3
2 2 2
3 3 2
10 8
1 3 2
3 3 2
1 2 1
0 0 3
3 1 0
2 2 3
3 3 0
0 3 3
2 0 2
2 2 0
10 5
0 0 0
1 2 1
1 2 2
1 0 2
1 2 0
2 0 1
0 2 0
1 0 0
0 1 1
0 2 2
10 7
2 1 0
3 2 3
3 2 1
1 3 0
0 0 0
2 3 0
1 0 2
1 0 1
0 3 0
1 1 0
10 5
0 1 0
1 1 1
2 2 3
3 0 0
2 1 3
1 3 3
0 0 1
0 3 0
2 3 1
1 2 3
10 6
1 2 2
0 1 2
2 0 0
0 1 1
1 1 1
2 1 0
1 0 1
1 1 2
1 2 0
2 2 1
10 8
2 1 1
0 0 2
0 0 1
2 2 1
1 1 1
2 2 0
1 0 0
0 1 1
0 1 0
1 2 2
10 4
2 0 1
0 1 0
2 1 1
0 1 2
2 0 2
1 1 0
1 2 0
2 0 0
2 1 0
0 2 2
10 4
0 3 3
3 3 0
1 3 0
2 3 2
0 0 2
3 2 2
2 1 1
3 1 2
0 2 2
0 1 3
10 2
2 2 1
2 2 0
1 0 1
2 1 0
1 1 0
2 1 1
0 2 1
0 0 1
1 2 2
0 0 2
10 6
0 3 1
2 2 3
0 0 2
0 3 0
0 2 0
2 3 3
1 3 0
1 1 2
3 3 3
3 0 2
10 8
2 2 2
1 1 0
1 0 0
0 3 3
2 2 0
0 0 3
3 1 3
2 0 3
0 3 0
3 2 2
10 3
1 0 0
0 0 1
1 2 0
0 1 1
2 1 0
2 2 0
1 0 1
1 2 1
2 2 1
0 0 0
10 9
1 1 0
2 1 2
0 1 0
2 2 0
2 0 1
0 1 2
1 2 0
1 0 2
0 0 1
0 0 2
10 4
1 0 0
0 0 1
2 0 0
1 2 0
2 1 1
2 2 2
0 2 1
0 2 2
0 1 0
2 0 1
10 8
0 1 1
1 1 1
2 1 2
2 0 2
1 1 2
2 0 1
0 0 0
2 1 1
1 2 0
0 1 2
10 2
3 2 0
0 2 0
0 3 3
0 0 1
0 0 3
1 3 3
1 1 3
2 1 1
0 1 0
3 0 1
10 9
2 2 1
1 0 1
1 1 0
1 2 2
2 0 2
0 0 0
0 2 0
0 2 1
1 1 2
2 2 0
10 7
1 2 0
2 0 1
0 2 2
1 0 1
2 2 2
2 2 1
0 2 1
1 0 0
1 2 2
0 1 1
10 5
1 2 2
0 2 3
0 0 2
0 1 3
3 3 2
1 3 2
2 3 1
2 2 3
0 1 0
0 1 1
10 9
3 2 0
1 1 2
1 2 3
3 1 2
0 0 0
0 1 0
2 2 2
2 1 1
3 0 3
2 0 3
10 8
0 2 2
2 2 1
1 3 2
2 2 0
1 3 3
1 2 3
1 1 1
2 3 0
2 2 2
3 2 2
10 9
0 2 0
0 1 2
2 1 0
1 0 2
2 0 2
2 1 2
1 0 1
0 2 2
1 2 0
2 1 1
10 9
2 0 1
2 1 2
0 0 0
1 1 2
0 1 1
1 0 2
0 0 1
2 1 1
0 0 2
2 0 0
10 6
3 3 3
2 3 1
2 2 1
2 1 1
2 2 2
3 3 0
0 3 0
2 3 2
1 2 1
0 2 0
10 2
0 2 0
3 0 2
0 1 3
1 2 2
0 2 1
2 1 3
3 3 1
2 1 1
0 3 1
3 1 2
10 5
2 2 2
0 1 0
0 2 1
1 1 1
1 0 1
2 1 1
2 0 1
2 1 0
0 2 0
1 0 2
10 9
1 2 1
0 1 2
1 0 2
0 2 0
0 1 0
0 2 1
1 1 2
1 2 2
0 0 1
2 2 2
10 3
1 2 2
0 2 1
0 1 1
1 1 1
2 1 2
2 0 2
2 2 0
0 0 0
1 0 2
2 0 0
10 7
2 2 1
2 0 2
1 2 1
0 0 1
0 0 0
2 0 1
0 2 0
1 0 1
1 2 0
1 1 2
10 8
1 1 1
1 2 0
0 2 0
2 1 2
0 1 1
0 0 0
0 2 1
2 1 1
0 1 0
0 0 1
10 9
2 3 1
3 3 2
2 2 2
1 1 2
1 3 1
0 3 1
1 3 3
0 1 1
0 1 2
1 2 0
10 2
1 1 3
3 1 0
2 0 3
2 1 3
1 2 3
2 1 1
3 1 3
0 0 1
0 2 3
3 3 2
10 9
0 1 1
2 2 2
0 0 0
1 2 1
2 2 1
1 1 0
2 1 1
1 2 2
2 0 2
1 2 0
10 6
1 2 3
1 2 1
2 1 0
0 2 0
1 1 3
3 1 1
3 2 3
0 1 2
2 3 3
1 2 2
10 5
0 2 2
2 1 0
1 2 1
2 2 0
2 0 1
1 1 0
2 0 0
2 1 1
0 1 2
1 1 2
10 4
3 0 0
3 2 0
1 2 3
2 1 0
2 3 2
2 0 1
0 1 0
2 2 1
2 2 0
0 0 3
10 8
0 2 0
0 0 0
2 0 2
1 2 2
1 0 2
2 2 0
2 0 1
0 0 2
1 1 2
1 2 1
10 4
2 0 3
0 2 2
2 2 2
2 0 2
0 2 0
2 1 0
2 3 2
0 1 3
1 1 1
2 1 1
10 8
0 2 1
2 0 1
1 1 1
2 1 0
1 0 0
2 2 1
0 2 2
0 1 0
0 1 1
1 2 1
10 6
0 1 2
0 1 1
2 2 2
0 2 1
2 1 0
2 1 1
1 0 2
1 2 0
2 2 0
1 0 0
10 5
0 2 2
3 1 2
2 1 3
2 3 0
0 3 2
2 0 0
0 1 3
1 3 0
1 0 0
3 0 3
10 8
1 2 3
1 0 2
3 2 3
2 3 3
1 0 1
2 2 2
2 3 1
1 1 3
2 1 0
1 2 1
10 9
1 1 2
1 2 0
0 0 1
0 2 1
0 2 0
1 1 0
1 2 1
2 0 0
1 1 1
2 1 2
10 4
1 2 0
1 1 1
2 2 1
0 1 1
0 0 1
1 1 0
2 2 0
0 0 2
2 1 2
0 1 2
10 2
2 2 0
1 1 1
0 1 2
1 0 1
0 1 0
1 0 0
2 1 1
2 1 2
1 2 1
0 0 2
10 2
1 2 0
1 0 1
1 1 1
2 1 2
2 2 0
0 2 1
1 2 1
1 1 0
1 1 2
2 0 0
10 6
3 1 0
1 3 0
3 3 1
2 3 3
3 3 2
3 0 3
3 2 0
0 0 0
1 1 3
0 0 2
10 2
0 0 2
1 2 1
2 2 1
0 1 0
2 0 2
0 1 2
2 1 2
0 0 1
1 0 2
1 2 2
10 8
2 0 2
0 1 1
2 1 2
2 2 1
0 0 0
0 2 0
0 0 1
0 2 1
2 1 0
2 0 1
10 5
1 2 1
1 2 2
0 1 1
3 3 3
1 2 0
3 0 1
2 0 3
1 1 2
1 1 0
3 2 0
10 2
0 0 0
3 0 1
2 3 2
0 2 1
3 3 1
2 0 0
0 2 3
1 3 2
3 0 2
1 1 1
10 2
1 0 2
0 1 1
0 0 2
0 1 2
1 1 1
1 0 1
1 2 0
1 2 2
2 0 1
2 0 0
10 9
3 3 2
1 0 1
2 0 0
3 3 0
3 1 3
1 0 2
1 3 2
3 3 1
2 3 0
1 2 0
10 5
2 0 1
1 2 1
1 2 2
2 0 2
1 1 1
2 1 0
2 0 0
2 2 2
1 0 0
1 0 1
10 8
2 2 0
2 0 0
1 1 1
1 2 0
1 1 2
2 2 2
0 2 1
2 2 1
1 2 1
0 0 2
10 2
3 0 2
3 1 0
1 1 0
2 0 1
0 1 1
3 2 3
3 0 0
0 3 0
0 0 2
3 2 1
10 8
1 3 2
0 1 2
0 3 0
3 1 0
1 3 3
1 1 0
1 2 3
0 1 0
0 2 1
2 0 1
10 7
2 3 2
0 1 1
1 2 1
0 2 1
2 2 3
1 1 0
3 0 1
2 2 1
0 1 3
2 0 0
10 8
0 0 0
1 2 2
2 1 1
0 1 1
0 1 0
2 2 2
1 1 0
1 0 0
2 1 0
2 0 0
10 7
1 2 2
2 2 0
2 1 1
1 0 0
2 0 0
1 1 2
0 1 0
2 1 2
2 2 2
0 1 2
10 9
0 3 0
1 2 1
2 3 3
1 1 3
0 2 0
2 2 2
3 1 3
3 1 1
0 1 2
2 3 0
10 7
3 0 1
0 2 1
1 0 1
0 3 0
3 3 0
3 2 2
2 2 1
2 0 0
2 1 1
0 3 1
10 2
3 1 1
1 2 1
3 0 0
0 2 0
2 2 1
0 0 0
3 3 1
1 0 3
3 2 2
3 0 2
10 6
3 2 2
3 0 2
2 1 0
2 3 3
3 1 2
0 0 2
0 1 1
1 3 2
2 2 0
1 1 0
10 3
1 0 1
2 1 1
2 0 1
3 2 2
2 1 3
3 2 3
2 3 1
3 3 0
1 2 2
2 3 2
10 8
0 2 2
2 2 0
2 0 2
3 3 1
0 3 0
0 3 3
1 3 0
0 1 2
2 1 2
0 2 1
10 4
0 1 1
2 2 0
2 2 1
2 1 2
1 1 1
2 0 0
1 2 1
0 1 2
0 1 0
0 0 1
10 2
1 0 0
2 1 0
1 1 0
2 0 1
1 0 1
2 0 2
1 2 2
1 2 0
2 1 1
1 2 1
10 2
0 0 0
1 1 2
0 1 0
2 2 2
2 1 1
0 1 1
1 1 0
2 0 1
0 0 2
0 1 2
10 2
2 2 2
2 1 2
2 1 1
0 0 2
1 2 2
2 2 0
1 1 2
2 0 1
1 2 1
1 0 2
10 4
3 3 0
1 1 2
3 1 3
0 2 1
2 1 2
2 2 3
2 0 2
1 1 0
3 1 1
0 0 0
10 4
2 0 1
0 2 1
1 1 0
2 2 0
2 0 0
0 1 1
2 0 2
0 0 0
2 1 0
2 2 2
10 2
1 2 1
3 0 0
3 0 2
2 1 2
2 1 3
0 1 3
3 3 0
3 2 0
0 0 1
0 1 1
10 2
0 0 0
0 2 1
2 0 2
2 1 2
2 2 0
1 0 0
1 0 1
1 1 1
1 2 1
1 1 2
10 3
1 0 0
0 0 1
2 2 1
1 1 2
1 0 1
1 2 0
0 2 0
2 0 2
0 1 1
2 2 2
10 5
1 2 2
0 0 1
0 2 0
0 1 0
0 2 1
0 1 2
1 0 1
2 2 1
1 2 0
1 0 2
10 6
1 3 2
2 2 0
2 0 2
1 0 1
1 1 3
2 1 1
2 2 2
3 2 0
0 1 2
2 0 0
10 2
0 0 2
0 2 2
2 0 0
1 2 1
1 1 0
1 0 2
2 1 0
0 1 1
0 2 1
0 1 0
10 2
0 0 0
2 2 1
0 1 1
1 2 0
0 1 2
2 2 2
0 2 0
2 2 0
0 2 1
1 2 1
10 3
3 0 2
3 1 1
1 2 3
3 2 2
1 1 1
2 1 2
2 0 0
0 0 2
3 2 1
3 1 0
10 2
0 1 1
3 1 0
3 0 2
2 0 1
3 1 1
1 2 1
1 1 3
0 3 2
0 0 3
1 0 1
10 4
2 1 1
0 2 0
2 2 1
2 0 0
1 3 3
0 3 1
1 1 2
2 1 2
2 1 3
3 1 2
10 4
0 0 2
1 1 2
1 0 2
2 1 0
2 0 2
1 2 0
2 1 2
2 2 1
1 2 1
2 2 2
10 9
1 1 2
0 1 2
2 0 1
1 0 2
1 1 1
0 2 0
2 2 1
2 2 0
2 1 2
1 2 1
10 5
1 2 0
1 2 1
0 1 0
2 2 0
2 2 2
0 0 2
1 0 2
0 0 1
2 0 2
1 0 0
10 6
1 2 0
3 1 2
1 3 2
1 1 2
2 2 0
1 2 1
3 2 3
1 0 1
1 3 3
1 1 1
10 8
1 3 2
0 0 3
0 0 0
1 0 2
3 2 2
1 1 1
2 0 1
3 1 3
3 0 3
1 2 0
10 7
3 1 1
1 1 0
0 1 3
3 0 2
0 0 2
3 3 2
0 0 3
1 0 2
0 1 1
2 1 3
10 9
1 0 1
1 0 2
1 2 0
1 2 1
2 2 2
1 0 0
0 2 1
2 1 2
1 2 2
2 2 1
10 6
1 3 3
0 3 0
0 2 3
3 3 2
2 3 2
1 1 2
1 2 2
3 1 1
0 1 2
3 0 3
10 2
2 0 1
2 0 0
1 1 0
2 1 1
2 1 0
0 1 1
1 2 0
1 1 1
2 2 1
2 2 2
10 3
0 0 3
0 0 2
2 3 0
2 2 3
1 2 3
3 0 1
3 3 0
0 3 3
1 3 0
1 3 2
10 3
2 1 2
0 2 0
1 0 0
0 0 1
2 2 0
1 0 1
2 0 1
0 0 0
1 2 2
0 2 2
10 8
2 3 1
1 0 1
0 2 2
3 3 2
2 0 0
1 2 0
3 2 0
3 3 0
0 2 0
1 0 2
10 5
2 3 1
0 0 3
0 1 2
3 3 2
2 1 0
2 2 0
3 3 1
2 2 3
3 0 2
1 2 1
10 9
2 1 3
0 2 3
1 3 3
1 3 1
2 3 3
0 2 2
3 2 0
0 2 1
0 1 3
2 3 1
10 4
1 1 3
0 3 0
3 2 0
0 0 3
3 2 2
3 3 1
3 3 2
1 0 3
0 1 2
2 1 1
10 8
2 3 0
1 0 0
2 3 1
3 1 0
3 2 1
0 2 2
3 0 1
1 3 3
1 2 0
0 1 3
10 7
0 0 0
2 2 2
2 1 2
1 2 2
2 0 0
1 0 1
1 1 0
0 0 1
0 1 0
1 0 2
10 2
2 2 1
1 0 2
1 2 0
0 0 1
1 0 1
1 2 2
1 0 0
1 2 1
2 0 0
2 2 2
10 8
2 0 1
0 0 2
3 1 0
1 1 0
2 3 2
3 3 0
3 1 1
0 0 3
3 3 3
0 0 0
10 6
2 2 1
1 1 0
1 1 2
1 2 1
2 2 2
2 1 0
1 1 1
2 2 0
0 1 0
0 2 1
10 7
1 0 1
2 2 1
2 0 0
0 1 0
2 0 1
1 2 2
1 2 1
0 0 1
2 2 2
2 0 2
10 7
2 2 2
0 2 2
1 1 0
1 2 2
1 0 1
1 1 2
2 2 1
2 2 0
2 1 1
1 0 2
10 8
3 2 3
1 2 1
1 0 2
0 2 2
3 3 1
3 3 2
0 3 3
0 2 1
0 3 1
1 2 3
10 4
2 0 1
0 2 1
1 3 0
1 1 0
1 3 3
2 0 3
1 0 3
3 3 2
0 3 3
1 1 1
10 4
3 3 0
1 2 2
2 2 1
1 0 0
0 1 0
0 2 3
0 1 3
3 0 2
2 0 0
3 2 1
10 2
1 2 1
3 1 0
1 3 2
2 0 1
1 3 1
2 0 3
0 3 0
1 0 0
0 0 1
0 0 3
10 8
0 0 2
2 1 1
1 0 2
1 2 0
1 2 2
1 0 1
2 0 1
0 1 0
0 1 2
2 0 0
10 5
0 0 0
2 2 2
0 2 1
2 2 1
1 2 2
2 2 0
0 1 2
0 2 2
0 2 0
2 1 2
10 7
1 0 2
0 1 2
0 0 0
1 0 1
2 1 1
1 2 1
0 0 1
0 0 2
0 2 2
2 1 2
10 4
1 2 0
2 3 3
1 3 2
3 1 3
1 1 0
3 2 3
2 0 0
1 0 1
1 3 3
1 2 2
10 8
2 1 0
0 3 2
1 0 0
3 1 0
1 2 2
2 2 1
1 2 1
2 1 3
3 2 1
3 1 1
10 7
2 3 2
1 3 3
0 0 2
2 1 0
3 2 3
2 1 2
1 0 2
3 0 1
1 2 3
0 2 1
10 3
3 2 0
1 1 1
2 2 3
2 2 0
3 1 2
2 0 1
1 2 0
2 1 3
0 1 1
2 3 1
10 8
2 2 0
2 0 2
2 1 2
1 0 2
0 0 2
1 2 0
0 1 0
1 0 0
0 0 0
0 2 0
10 6
1 2 0
2 1 3
3 1 0
2 0 3
1 2 3
3 2 1
2 0 0
0 2 3
0 0 1
1 0 0
10 2
2 1 0
2 2 1
3 3 1
0 1 0
2 0 2
2 2 2
3 1 0
3 2 2
1 0 2
1 2 0
10 9
1 2 2
0 2 0
0 3 1
3 1 3
3 0 1
2 2 3
0 3 3
1 1 0
2 3 3
0 1 3
10 5
3 2 0
0 1 3
0 0 2
1 0 3
0 2 0
0 2 1
3 0 1
1 0 2
1 3 0
3 0 0
10 7
0 3 3
2 1 2
0 2 0
3 3 2
1 3 3
2 2 2
1 1 1
1 2 2
2 3 1
3 3 1
10 9
1 1 0
3 2 2
3 1 3
3 1 1
3 1 2
2 1 3
3 3 3
1 1 1
0 0 0
0 0 1
10 2
1 2 3
2 1 3
2 3 1
3 2 3
2 3 2
1 2 0
0 0 0
1 0 2
2 3 0
2 0 1
10 9
3 0 3
1 2 2
0 0 0
2 2 1
3 0 0
2 0 2
1 1 1
0 0 3
1 0 3
3 1 2
10 9
0 1 0
2 3 2
2 1 3
3 2 0
3 0 3
1 2 1
1 3 3
2 1 2
3 3 2
2 2 3
10 3
1 1 1
0 2 2
2 2 1
1 1 0
1 0 1
0 1 0
1 1 2
2 2 0
0 0 0
0 1 2
10 4
0 2 0
0 3 2
0 0 3
3 1 0
2 0 2
3 3 3
2 1 1
3 0 2
1 0 1
3 3 0
10 8
2 0 2
1 2 0
1 0 1
2 1 2
1 0 2
1 2 1
1 1 2
0 0 1
2 1 1
0 0 0
10 3
3 0 3
0 1 2
0 3 2
3 2 0
0 3 3
1 3 1
3 0 1
3 3 3
1 2 2
3 2 2
10 5
3 3 2
1 1 1
2 1 3
2 3 2
0 3 2
1 3 1
0 1 3
1 2 1
1 1 0
1 2 2
10 6
2 0 0
0 2 0
1 0 2
0 1 1
0 1 0
2 2 0
1 1 1
1 1 2
0 0 1
1 2 0
10 6
1 3 3
1 2 0
2 1 2
0 0 1
0 3 3
3 1 0
0 0 3
1 3 0
2 0 3
0 3 0
10 8
0 2 1
0 2 3
3 2 1
0 3 2
1 3 3
3 0 2
1 0 0
1 1 1
0 0 2
0 3 0
10 9
0 3 0
1 2 3
3 3 3
3 2 2
1 1 1
1 0 0
3 1 2
3 0 2
3 0 1
3 2 1
10 2
3 1 2
1 3 1
1 1 3
1 2 1
1 1 2
0 3 0
3 0 3
0 2 3
0 1 1
3 2 1
10 4
1 0 2
1 0 0
0 0 2
0 1 1
2 2 2
1 1 1
0 2 1
2 2 0
0 0 0
1 1 0
10 4
0 0 2
1 1 1
2 2 2
1 2 0
3 0 1
2 1 1
0 3 3
2 0 2
3 3 1
2 2 0
10 6
3 2 3
1 2 2
0 0 2
2 2 1
2 1 0
2 0 0
3 0 3
0 2 3
2 2 2
2 3 2
10 7
1 3 1
1 1 3
0 0 3
1 0 0
3 3 3
3 0 3
0 2 2
2 1 0
1 2 2
2 1 2
10 4
2 3 3
3 3 1
3 3 3
3 1 1
0 3 0
0 1 2
2 0 2
0 0 3
3 2 1
3 0 3
10 2
2 2 0
0 0 2
1 2 2
1 0 2
0 2 2
1 1 0
1 1 2
2 0 1
2 0 2
0 1 0
10 7
0 2 2
1 0 0
1 2 0
2 1 0
0 2 1
2 0 2
0 0 0
1 1 2
1 2 2
0 0 1
10 8
0 2 3
1 0 3
3 0 2
2 0 1
2 3 3
1 3 1
0 1 0
2 2 3
3 0 1
3 2 3
10 3
2 2 2
0 0 1
3 2 0
1 1 3
2 3 0
3 3 1
0 0 2
3 0 2
2 2 0
0 1 1
10 6
2 1 0
0 1 1
2 2 2
1 2 0
0 1 2
0 1 0
2 1 1
1 0 0
2 1 2
0 0 1
10 2
1 0 3
0 2 2
3 2 1
0 1 2
1 0 1
0 3 2
2 1 1
3 1 2
0 3 1
3 3 0
10 9
1 0 3
3 2 1
0 2 2
2 0 1
1 1 0
0 1 2
1 2 2
0 3 3
1 2 1
2 1 3
10 4
3 1 2
2 3 0
2 2 2
3 0 1
3 2 2
2 1 3
3 2 1
0 1 2
1 1 1
3 0 0
10 8
2 2 1
2 3 1
0 3 2
3 1 3
3 0 2
0 3 0
2 2 0
3 3 1
2 3 2
3 3 0
10 3
0 0 0
2 3 0
0 1 3
3 2 2
0 2 3
3 3 2
1 3 0
3 2 1
1 0 3
0 3 1
10 6
1 0 0
0 0 2
0 2 0
0 2 1
1 0 2
0 1 1
0 2 2
0 1 2
2 2 1
2 1 2
10 4
1 0 2
0 3 0
1 3 1
2 3 0
3 2 1
1 3 2
3 1 1
0 3 1
0 0 0
0 1 0
10 6
0 0 3
1 3 2
3 0 1
0 1 3
1 3 3
0 2 0
2 0 3
1 2 0
3 3 2
1 0 2
10 8
0 0 0
2 1 2
2 0 1
2 2 1
1 2 2
2 2 0
1 0 2
0 1 2
0 0 1
0 1 1
10 9
1 0 0
0 1 2
2 2 1
2 1 2
2 0 2
0 2 0
1 2 2
0 2 2
0 1 1
1 1 2
10 6
0 2 1
2 1 0
2 2 2
0 2 2
0 0 2
0 2 0
0 0 0
2 0 2
1 0 0
1 2 2
10 9
0 1 0
2 2 2
2 2 0
0 2 0
1 1 1
2 2 1
0 0 2
2 1 2
1 0 0
1 2 0
10 6
2 1 1
1 2 1
2 0 1
1 0 1
2 2 2
2 1 0
2 2 1
0 2 2
0 0 0
2 2 0
10 8
0 2 1
2 1 1
1 0 1
0 0 0
2 1 2
2 1 0
1 2 2
1 1 2
1 0 2
2 2 2
10 6
2 2 1
0 1 2
0 2 1
0 1 0
0 2 0
2 1 1
2 0 1
1 0 0
1 1 0
1 2 1
10 7
2 2 2
2 1 0
2 1 1
1 2 0
2 0 1
0 0 1
0 2 2
0 2 1
2 2 0
1 1 2
10 6
0 1 1
0 2 1
0 0 0
1 0 1
2 1 1
0 0 2
2 2 2
1 0 0
1 1 0
0 2 2
10 5
0 1 3
0 3 3
1 0 2
1 2 0
3 3 2
1 1 1
1 3 2
3 3 0
3 2 0
2 0 2
10 5
2 0 1
1 2 1
2 3 3
3 2 3
2 0 2
2 0 3
0 3 3
1 2 3
3 0 3
3 2 2
10 3
1 1 1
1 0 0
0 2 2
0 1 2
1 1 0
1 0 1
2 1 2
0 0 2
2 1 1
0 1 0
10 9
2 2 2
3 1 0
1 1 2
0 1 1
3 1 2
3 1 1
3 2 3
1 3 3
1 1 1
1 1 3
10 9
2 0 2
2 1 1
1 1 1
3 3 1
3 0 2
0 2 2
2 1 0
1 3 0
3 1 0
3 3 3
10 6
1 2 2
2 3 0
3 1 3
0 0 0
3 0 1
3 2 3
3 3 2
1 3 0
0 3 0
2 1 0
10 9
2 3 0
2 2 1
3 1 0
0 3 1
2 1 0
0 0 1
1 0 0
0 1 2
2 3 1
0 2 1
10 8
0 0 3
0 1 1
2 2 3
1 3 1
2 0 3
1 3 2
2 2 2
1 3 0
3 2 2
2 0 2
10 8
1 0 1
3 2 0
2 2 0
1 0 2
0 3 0
2 2 3
0 2 0
3 0 2
3 3 1
0 2 2
10 6
0 2 2
1 0 2
2 1 0
1 1 2
0 1 0
2 1 1
2 2 0
2 0 1
1 1 0
2 0 2
10 2
2 2 1
1 2 2
0 3 3
2 2 3
3 2 0
0 0 0
0 2 2
3 3 0
1 0 2
0 2 3
10 4
0 3 2
2 1 0
2 2 1
3 0 3
1 2 0
3 2 2
0 0 1
1 3 2
1 2 3
3 3 1
10 6
2 2 1
2 2 0
2 1 0
0 0 2
0 2 2
1 0 0
0 1 0
1 0 1
1 2 1
1 1 2
10 2
0 1 1
2 2 0
1 1 2
2 0 2
0 0 1
2 2 1
2 1 0
0 2 2
2 2 2
2 1 2
10 4
0 2 2
2 0 1
0 0 2
1 1 2
0 1 2
1 1 0
1 2 2
0 1 0
0 0 1
1 0 0
10 9
1 0 2
0 0 2
2 1 0
2 2 2
2 0 2
0 1 2
1 1 2
0 2 0
2 2 1
0 2 1
10 5
0 0 0
0 1 0
2 2 1
1 1 1
2 2 0
1 2 0
2 0 1
0 1 1
2 1 1
2 1 0
10 2
1 2 2
1 1 2
1 2 1
1 0 1
0 0 1
1 0 2
0 2 1
1 2 0
2 2 1
2 0 0
10 9
2 2 3
1 1 2
3 3 2
1 3 3
1 0 0
0 0 1
1 1 3
2 0 2
1 2 3
3 2 0
10 4
0 0 0
0 2 2
2 2 2
1 0 0
0 1 0
1 0 1
2 2 0
0 0 2
2 0 1
1 2 1
10 7
1 0 1
1 0 2
3 2 0
1 3 3
0 0 1
0 3 3
3 1 0
3 1 3
3 3 1
1 3 1
10 5
2 1 1
0 1 2
2 2 1
1 1 1
0 1 1
0 2 2
2 2 2
1 0 1
1 1 0
1 0 2
10 2
0 2 0
0 0 1
2 2 0
1 1 0
2 1 2
1 2 0
2 1 0
0 2 2
0 1 0
2 0 0
10 2
2 2 0
0 1 1
2 0 2
1 0 0
2 0 0
2 2 1
1 2 0
1 1 2
2 2 2
2 1 0
10 5
1 2 1
0 0 0
2 0 0
1 1 2
1 2 2
0 2 1
0 1 0
0 2 2
2 0 1
2 1 1
10 8
2 2 0
2 1 0
0 1 1
2 1 2
1 0 0
0 2 0
0 1 0
2 1 1
1 2 1
2 2 1
10 6
1 2 1
1 1 1
1 0 0
2 0 2
0 0 1
0 1 2
0 1 1
2 2 2
2 1 2
1 1 0
10 7
2 2 1
1 1 1
2 1 1
0 1 1
0 0 2
2 0 0
2 2 2
1 0 1
2 2 0
1 0 0
10 3
0 1 0
1 1 2
1 2 1
2 1 2
1 1 1
1 1 0
2 0 0
2 1 0
1 0 2
0 0 1
10 6
2 1 1
3 3 2
0 2 2
3 0 1
2 2 1
3 2 2
0 3 3
2 2 2
1 2 3
0 1 0
10 5
2 0 1
1 2 0
2 0 2
0 0 1
1 1 1
2 1 3
1 1 0
1 0 3
2 2 1
1 3 0
10 7
0 1 3
2 3 0
0 1 1
1 0 3
0 3 2
1 2 2
0 3 3
2 2 0
3 1 3
1 3 1
10 7
2 1 1
0 3 2
3 0 0
1 3 0
0 2 0
3 2 0
2 2 3
3 1 3
2 2 2
1 3 3
10 8
2 2 0
2 0 0
0 2 0
0 0 0
1 2 0
0 2 2
0 1 1
1 0 2
0 0 1
2 2 2
10 7
1 0 0
3 3 3
3 3 2
0 1 0
0 2 1
3 0 0
1 2 2
2 1 3
2 1 0
3 1 2
10 9
2 2 1
1 1 2
0 2 1
2 0 0
0 2 2
0 1 0
0 0 2
1 2 1
1 0 2
1 1 0
10 8
3 3 3
2 2 1
1 1 1
0 1 0
2 1 2
0 2 3
1 2 0
2 2 3
2 2 2
1 2 1
10 5
2 2 0
2 2 1
1 1 2
0 2 0
0 1 1
2 0 0
0 1 2
1 0 0
0 2 1
2 0 1
10 9
1 1 1
0 2 1
0 0 1
0 1 2
0 0 0
2 0 2
1 2 2
0 1 0
2 1 1
0 2 0
10 8
0 1 0
2 0 0
1 0 1
0 0 2
2 2 2
1 1 0
1 0 0
1 2 1
2 1 1
2 2 0
10 3
0 2 0
2 0 2
0 2 2
0 0 3
1 1 1
2 0 3
1 0 3
1 2 1
2 1 1
3 0 1
10 2
0 2 2
0 2 0
0 1 2
1 1 2
2 1 1
1 0 1
1 1 1
2 1 0
0 1 1
0 0 0
10 6
2 1 2
0 2 1
1 0 2
3 3 1
3 1 0
2 3 0
0 1 2
3 2 3
1 2 3
2 1 0
10 5
1 1 1
3 0 3
2 2 2
3 0 0
0 1 3
0 3 0
1 0 0
3 3 1
0 0 1
2 3 2
10 3
0 0 0
0 3 2
1 3 0
2 3 2
1 1 0
3 1 0
0 1 0
2 1 3
1 0 1
1 2 0
10 7
2 3 3
2 2 3
2 0 2
0 2 0
1 1 3
1 1 0
1 0 0
3 2 1
2 0 3
3 2 2
10 2
1 3 2
1 2 2
3 2 3
2 2 0
0 2 2
2 3 1
3 2 0
3 0 2
2 3 3
0 0 1
10 7
2 0 3
2 2 0
2 2 3
2 2 1
2 3 2
0 3 1
2 1 3
3 3 2
3 0 1
0 0 0
10 6
2 1 1
0 0 2
0 0 0
2 1 0
1 2 0
1 0 1
1 2 1
1 1 0
0 2 0
0 1 2
10 2
2 2 1
2 1 0
0 0 2
1 2 2
1 2 1
0 0 0
0 2 0
2 0 0
2 1 2
0 2 1
10 7
0 1 2
2 1 1
1 0 1
0 2 0
2 2 0
2 0 2
1 2 0
2 0 1
1 0 2
2 1 2
10 6
2 1 2
2 2 1
1 2 0
0 1 2
0 1 1
1 0 0
0 0 2
0 1 0
1 1 0
2 0 2
10 6
2 1 2
2 0 0
1 2 0
1 1 2
1 2 2
0 1 0
0 2 0
2 2 0
2 2 2
1 1 0
10 9
3 2 0
1 1 2
2 1 2
3 3 3
3 0 0
0 2 2
2 0 1
3 0 1
2 1 3
0 0 3
10 8
0 1 2
2 2 2
0 1 0
1 2 2
0 0 1
2 2 0
0 2 2
0 2 0
2 1 1
2 1 2
10 9
0 2 3
2 3 2
1 2 2
0 0 1
3 2 3
3 2 0
1 2 0
2 0 3
3 0 2
0 3 2
10 7
2 3 2
0 3 2
3 1 3
3 3 0
3 0 3
1 2 1
1 2 3
0 1 3
1 3 3
1 3 1
10 9
2 2 1
1 1 2
0 2 0
2 1 2
1 2 1
0 2 1
0 1 1
1 0 0
0 0 1
2 1 0
10 7
1 3 1
2 3 3
1 0 2
1 1 0
2 1 2
0 3 1
2 3 1
3 3 1
0 1 0
1 1 3
10 2
1 0 3
2 2 3
3 1 2
2 0 2
3 2 1
1 1 3
1 3 2
0 1 0
2 0 1
2 0 0
10 3
0 0 1
1 1 1
1 0 2
1 0 0
2 1 0
0 1 1
0 1 2
2 2 2
2 0 1
0 0 0
10 8
2 0 0
2 2 0
2 1 1
0 2 1
1 1 1
1 0 0
1 0 1
0 2 2
0 0 2
2 0 2
10 2
0 3 2
3 3 2
0 2 2
0 0 3
1 3 1
0 1 0
2 0 1
3 1 1
0 2 1
3 0 0
10 7
3 2 2
1 2 1
2 2 0
3 2 0
2 1 2
3 3 0
1 1 0
3 2 1
3 1 3
1 0 0
10 4
3 1 1
0 2 0
0 2 2
0 1 3
0 3 0
2 1 3
0 1 1
0 0 3
0 2 1
0 1 2
10 5
1 2 1
2 1 1
1 0 2
1 0 0
2 2 2
2 2 0
0 2 0
0 2 2
0 0 2
0 0 1
10 3
0 0 2
0 2 1
0 1 1
1 0 2
1 0 1
2 1 1
0 0 0
2 2 0
0 0 1
2 0 0
10 6
0 0 3
3 1 3
2 2 2
2 2 3
1 1 1
1 2 3
1 0 0
3 3 0
0 1 3
3 1 2
10 9
1 1 2
2 0 2
0 0 2
1 0 0
1 2 0
0 0 1
2 0 0
1 2 1
0 1 1
0 2 2
10 9
1 0 1
0 0 2
0 2 1
0 1 2
2 0 0
2 2 0
2 1 2
2 2 2
0 0 1
2 2 1
10 8
2 0 1
3 1 3
1 2 1
1 1 0
2 3 1
1 3 2
3 2 2
3 0 0
3 1 0
0 1 0
10 8
0 3 1
2 1 1
2 2 0
1 0 1
3 0 3
1 2 3
1 1 2
3 0 1
1 3 3
2 0 0
10 3
2 1 3
3 0 0
0 1 2
3 0 3
0 0 0
0 3 1
0 1 1
2 3 1
0 2 2
2 1 0
10 3
1 1 2
0 1 1
2 0 0
2 2 0
1 2 1
0 0 2
2 1 1
1 0 2
1 2 0
1 2 2
10 4
2 3 1
1 0 3
0 2 3
1 0 1
0 0 2
0 3 0
3 2 2
2 0 2
2 2 2
1 1 0
10 2
0 0 0
3 3 2
2 0 1
1 2 2
3 3 3
3 3 1
3 3 0
3 0 2
0 2 2
1 2 0
10 7
2 0 1
1 0 1
1 2 0
2 2 2
0 0 0
0 2 2
2 1 2
0 2 1
1 2 1
1 1 0
10 2
0 0 1
0 2 2
1 0 2
0 2 0
0 0 0
2 1 2
1 1 1
0 1 0
2 1 0
1 2 0
10 9
3 2 1
2 1 1
0 0 3
0 3 3
1 1 1
1 3 1
2 3 2
3 2 3
1 2 2
0 2 1
10 3
2 1 3
0 1 3
3 1 0
0 1 1
0 0 2
3 1 1
3 0 0
1 1 3
2 3 3
2 2 2
10 4
1 0 2
2 0 3
3 1 2
0 0 3
2 2 3
3 2 1
1 0 3
0 1 2
1 1 3
3 3 1
10 2
3 3 1
2 2 1
2 1 0
1 3 0
2 0 0
3 2 1
2 2 3
2 3 1
0 1 0
0 2 1
10 5
2 0 0
0 0 0
0 1 1
0 2 0
2 2 0
1 0 2
2 0 1
1 0 0
2 2 1
1 1 1
10 8
2 2 0
1 1 2
1 1 0
2 0 1
2 1 1
2 1 0
0 0 0
2 0 2
0 2 1
0 1 2
10 5
2 0 1
1 1 0
2 2 2
0 1 2
1 2 1
1 0 0
0 1 0
2 2 0
2 1 1
0 0 1
10 3
1 0 0
0 1 2
0 1 1
2 0 1
1 0 1
2 2 2
1 0 2
1 2 2
1 2 0
1 1 1
10 3
3 1 0
2 0 3
3 2 1
2 1 1
0 2 1
2 1 3
2 0 0
2 2 2
0 2 0
1 3 0
10 8
1 1 2
2 3 1
0 3 3
3 3 2
0 1 1
1 1 1
0 3 2
3 2 0
2 1 3
2 1 1
10 4
2 2 1
3 1 1
0 2 3
0 3 1
0 1 0
3 3 1
2 1 0
3 3 0
2 2 3
1 3 1
10 3
3 3 0
1 2 1
0 2 3
3 0 0
0 3 1
2 2 1
0 2 1
3 3 2
0 1 1
0 0 1
10 5
1 0 1
0 1 1
2 2 0
2 0 1
0 0 2
0 1 2
2 0 0
1 2 2
2 1 2
0 0 1
10 5
0 0 2
0 1 0
0 0 1
2 0 0
1 1 2
1 2 0
2 1 2
2 2 2
2 0 2
0 2 1
10 4
1 3 0
1 2 2
0 3 0
2 2 2
0 3 3
3 3 3
2 0 3
3 2 1
0 1 0
2 1 3
10 7
3 2 2
1 1 2
0 2 3
3 1 3
3 1 0
2 3 0
3 0 1
0 2 2
2 0 2
1 2 0
10 3
1 1 0
2 1 2
0 2 2
1 2 1
0 2 0
0 2 1
0 0 0
2 1 0
2 0 2
2 2 1
10 5
2 2 1
1 3 1
2 3 0
2 0 2
0 0 1
1 3 2
0 1 2
0 3 1
0 2 1
3 1 3
10 5
2 2 2
0 1 0
1 2 2
2 1 0
0 2 1
1 0 1
0 0 2
1 1 1
0 1 1
2 1 2
10 8
2 2 2
0 1 2
3 1 2
2 1 3
3 1 3
2 3 3
1 2 2
3 3 3
3 2 3
2 3 2
10 8
1 2 3
2 3 1
0 2 2
0 1 0
1 3 1
0 1 2
2 3 3
2 3 2
3 2 1
3 2 0
10 7
0 2 0
2 0 2
1 0 2
2 2 1
0 1 0
0 0 1
1 1 0
2 2 0
1 2 1
2 0 0
10 8
1 2 2
0 0 1
0 2 2
0 1 1
0 0 2
2 0 1
1 2 1
2 1 1
0 2 0
1 1 2
10 8
1 2 0
2 1 2
1 0 2
2 2 1
1 1 2
1 1 1
1 2 1
1 0 1
0 0 0
0 0 1
10 9
0 1 1
1 1 0
0 1 2
2 0 2
1 1 2
0 2 0
2 0 0
1 1 1
2 1 0
2 1 1
10 3
0 0 0
0 3 3
0 2 3
0 2 0
2 0 2
1 1 1
0 1 3
0 3 1
2 2 0
2 3 1
10 2
3 2 3
2 2 2
3 3 1
1 0 2
1 2 0
2 3 3
1 3 2
0 1 0
1 1 0
2 1 2
10 7
1 2 1
0 1 2
0 2 1
1 2 2
0 2 0
2 2 1
2 1 0
0 2 2
1 1 2
2 0 0
10 8
1 0 0
0 2 2
1 2 1
2 0 2
1 1 0
0 1 0
0 1 1
0 0 1
2 2 1
1 2 0
10 8
1 2 0
1 2 1
2 1 1
2 1 2
2 2 1
0 2 0
0 1 1
2 2 0
1 1 1
2 0 2
10 5
0 3 2
0 3 3
3 0 1
0 0 1
3 3 0
1 0 3
3 1 3
1 3 0
3 3 1
3 0 0
10 2
3 2 3
0 0 3
3 3 0
3 1 0
2 2 3
1 0 0
3 2 0
0 3 3
2 3 2
2 0 3
10 8
2 2 0
0 2 1
3 1 1
3 0 2
0 3 1
2 3 1
0 1 2
3 2 3
3 3 2
1 1 0
10 4
0 0 2
2 1 1
2 1 3
0 0 0
3 1 2
1 0 0
2 0 3
0 0 3
1 0 1
3 3 0
10 9
0 2 2
0 2 0
3 3 0
2 2 1
3 1 3
1 1 2
3 1 1
2 0 1
1 3 2
3 1 2
10 5
1 0 2
2 2 0
1 0 1
0 2 0
0 2 1
2 0 2
2 2 2
1 1 1
2 1 0
2 0 1
10 7
2 2 2
1 2 3
0 1 0
2 0 1
0 3 2
1 0 3
2 2 3
0 3 3
1 2 2
0 3 1
10 8
1 1 0
0 1 2
1 2 2
1 0 0
2 0 0
0 2 1
1 0 2
1 2 0
0 0 0
2 1 0
10 7
2 1 0
2 0 1
0 0 0
0 1 0
1 1 0
1 1 1
0 1 2
0 2 2
2 2 1
0 2 0
10 8
0 0 1
2 0 2
0 2 2
0 0 0
2 0 1
1 0 0
1 2 1
0 2 1
0 1 0
2 1 0
10 9
1 2 1
1 1 0
2 2 0
0 0 0
0 1 1
2 1 1
1 0 1
1 1 2
1 1 1
2 2 1
10 3
0 0 0
0 0 2
2 2 0
0 0 1
1 1 2
2 2 2
0 1 2
0 2 2
2 0 0
2 2 1
10 6
0 1 0
1 0 2
1 1 0
1 2 0
3 1 0
3 3 1
1 2 2
0 3 3
2 0 0
3 2 2
10 6
2 2 3
0 0 1
0 0 0
3 3 0
2 3 1
0 2 2
1 1 0
0 0 3
3 3 1
3 0 2
10 9
3 0 2
1 3 1
2 0 2
1 1 3
3 3 3
0 2 3
1 1 0
0 1 2
3 3 2
3 0 0
10 6
2 0 2
0 2 1
1 0 1
0 0 1
0 1 2
2 2 0
0 1 1
2 0 0
2 1 2
1 1 2
10 5
3 0 2
1 3 0
0 3 2
1 3 1
1 2 1
2 0 3
1 1 3
3 3 3
1 0 2
2 0 0
10 9
3 2 1
0 1 0
1 1 0
3 2 3
1 0 0
3 3 0
2 3 0
1 0 3
3 1 2
1 1 3
10 8
3 1 2
3 3 0
3 1 0
0 3 0
2 0 2
3 2 2
0 2 0
3 0 0
1 2 3
3 2 3
10 9
0 1 0
1 2 2
1 0 2
2 2 2
1 1 0
2 0 0
2 1 0
1 1 1
2 2 1
1 2 0
10 5
0 1 0
0 2 0
2 2 2
0 2 1
0 0 0
1 2 0
0 0 1
1 2 2
1 1 0
2 1 2
10 3
2 0 0
1 0 1
2 1 0
1 1 0
1 2 0
0 1 0
1 2 2
2 1 1
2 2 2
0 2 1
10 8
1 1 3
3 0 1
0 1 3
1 1 2
3 0 0
2 3 2
0 0 0
2 0 2
0 3 0
0 0 3
10 2
0 3 0
3 1 0
2 3 2
0 1 3
1 2 0
0 3 3
2 2 1
2 0 2
2 3 0
2 2 0
10 6
2 0 0
2 1 3
1 3 3
2 2 1
0 3 2
0 2 2
0 3 3
2 1 2
2 1 0
3 1 2
10 5
1 2 2
0 1 3
1 0 0
1 0 1
0 1 2
0 0 2
3 2 2
3 0 3
0 3 2
0 0 1
10 9
1 2 0
1 0 1
2 2 0
2 0 1
1 1 1
0 2 0
0 0 1
2 2 1
2 0 2
2 1 0
10 7
1 1 2
1 0 2
2 0 0
1 2 0
0 2 1
0 1 2
2 0 2
1 1 1
0 1 0
2 1 0
10 8
1 0 2
0 1 0
1 1 2
1 1 3
3 3 2
1 3 1
1 2 0
2 3 3
0 2 1
2 2 3
10 7
2 2 0
2 1 1
1 0 1
0 1 2
2 1 2
1 1 0
1 0 2
1 0 0
0 0 2
0 0 1
10 7
2 2 0
1 0 1
1 0 2
1 1 0
1 2 2
2 2 1
2 1 1
0 0 0
1 1 2
1 2 0
10 4
1 2 1
2 2 1
3 3 3
1 0 0
3 2 3
0 0 1
1 0 3
0 1 3
3 0 3
0 0 3
10 7
1 2 2
2 0 1
1 1 1
2 1 0
0 0 1
2 1 2
0 1 2
0 1 0
1 1 2
2 2 0
10 5
3 0 0
0 1 0
2 0 2
2 3 0
0 3 3
2 1 2
3 0 3
0 2 0
2 0 0
1 0 2
10 9
2 1 0
0 2 2
1 0 2
1 2 2
2 1 1
0 0 1
1 2 1
0 0 2
2 0 0
1 2 0
10 8
0 3 0
3 3 1
3 1 1
1 3 0
2 3 3
3 0 2
2 3 1
0 1 1
0 2 0
0 1 0
10 6
3 2 1
0 3 3
3 2 0
2 1 3
1 0 1
3 1 0
0 3 2
0 3 0
2 0 3
1 0 3
10 9
0 0 1
0 1 3
1 1 1
1 2 1
2 0 0
2 3 0
0 0 3
3 2 1
2 2 3
3 3 2
10 2
1 1 0
0 2 1
1 0 2
2 1 1
0 2 2
2 0 0
0 1 1
1 1 2
2 2 2
2 1 2
10 5
2 1 0
1 1 2
0 1 1
1 0 1
1 2 1
1 0 2
2 2 1
1 1 0
1 2 0
0 0 1
10 8
1 2 3
2 1 2
0 3 3
1 1 0
2 2 0
1 3 1
0 2 2
1 3 3
3 3 0
2 0 0
10 4
1 2 0
3 0 3
0 0 0
1 3 0
1 0 2
3 2 3
3 3 1
3 1 0
0 2 0
1 2 2
10 2
0 1 0
1 2 0
2 0 2
1 0 2
0 2 2
0 2 0
2 1 0
1 2 2
0 1 2
2 2 1
10 7
0 1 3
1 2 1
3 0 3
3 2 3
1 1 0
0 3 2
3 1 3
3 0 0
3 3 3
0 1 0
10 7
1 1 2
2 2 2
2 2 1
2 0 2
3 0 0
2 3 1
1 0 1
1 3 3
3 3 2
3 1 3
10 7
0 2 0
0 0 1
1 1 2
2 1 1
2 1 0
0 0 0
1 2 0
2 0 0
0 1 1
1 1 0
10 8
1 2 1
2 2 1
2 0 2
0 2 0
2 0 0
2 0 1
2 1 1
0 2 1
2 1 2
1 0 2
10 2
1 0 2
1 1 0
1 2 2
0 0 2
1 2 0
2 1 0
1 1 2
1 2 1
0 2 2
2 0 1
10 6
3 1 1
3 3 1
2 2 3
2 1 3
0 3 0
3 1 0
3 2 1
1 3 1
3 3 3
1 0 2
10 5
0 3 0
2 0 0
1 1 2
3 0 0
1 3 1
1 3 0
2 2 0
1 1 3
1 2 2
3 1 1
10 8
2 1 1
2 0 2
0 2 2
2 0 1
2 2 1
1 2 0
1 0 1
1 0 0
1 2 2
2 2 2
10 7
2 0 0
2 2 1
0 2 1
2 1 0
0 1 0
1 0 0
1 0 1
0 2 2
0 0 2
2 0 1
10 2
3 2 3
1 3 1
3 0 2
2 1 3
0 2 1
1 1 3
0 0 3
0 0 0
3 2 2
1 2 1
10 4
1 3 1
1 1 2
1 3 2
3 1 3
1 0 2
2 3 1
0 1 3
1 2 2
2 1 2
0 1 2
10 4
2 2 0
3 2 2
0 1 1
2 2 1
0 3 0
3 1 0
1 0 3
1 0 1
1 0 0
1 3 0
10 4
2 2 2
0 1 2
1 2 2
2 0 1
2 1 1
0 2 2
1 0 1
2 2 0
0 1 1
1 2 1
10 5
1 0 2
2 0 0
3 0 2
0 0 2
0 2 3
1 3 0
1 0 0
1 2 3
2 1 1
3 1 0
10 9
1 1 3
3 3 1
1 2 1
3 0 0
3 2 3
3 2 2
0 1 1
2 3 1
0 1 0
0 2 2
10 8
0 2 2
1 0 2
2 1 1
2 0 2
2 1 2
1 1 1
1 2 2
0 1 2
0 0 2
2 2 1
10 7
0 2 2
0 2 0
0 1 2
1 0 0
0 0 1
1 0 2
2 1 1
1 2 2
2 2 1
0 0 0
10 9
0 2 1
2 2 2
1 1 2
2 0 2
1 0 2
2 1 2
0 1 2
1 0 0
1 2 1
1 0 1
10 4
1 1 1
1 0 1
0 1 2
2 0 0
2 1 2
0 2 1
0 0 2
2 1 0
0 2 2
1 2 2
10 2
2 1 1
2 1 2
0 0 0
2 2 0
1 0 1
1 1 2
1 0 2
2 2 2
2 0 1
1 1 1
10 4
2 0 1
1 1 0
3 2 0
1 0 2
2 0 2
2 3 1
2 2 3
1 3 2
0 2 3
1 2 2
10 8
2 2 2
0 3 1
2 1 1
1 3 3
0 3 0
3 3 3
0 0 3
2 1 2
2 0 2
0 1 0
10 9
1 3 0
2 0 0
0 1 1
0 3 0
1 0 3
3 2 1
1 0 0
1 2 1
1 1 2
2 2 3
10 4
1 0 0
2 2 3
2 0 3
3 1 1
3 2 2
2 0 0
3 1 2
0 0 1
2 3 2
0 2 1
10 3
2 0 2
2 2 2
0 0 2
1 1 2
0 1 2
0 1 1
0 2 1
1 0 2
2 0 1
0 1 0
10 5
0 1 2
1 0 1
3 0 0
1 3 3
2 3 2
0 0 3
0 2 3
1 2 1
2 3 0
1 3 1
10 8
0 1 0
0 2 1
2 2 0
2 2 2
1 1 0
2 0 2
1 2 2
1 0 0
0 0 0
1 1 2
10 9
3 2 0
0 1 0
0 3 0
3 0 1
0 3 1
1 3 3
3 3 2
2 2 3
2 1 3
3 0 2
10 6
1 1 0
3 3 0
1 3 1
1 2 1
1 0 3
0 1 2
3 0 1
3 3 1
2 1 3
0 0 2
10 8
0 2 1
0 1 2
0 0 0
0 1 1
1 1 1
2 0 0
2 2 2
2 1 2
0 2 0
1 0 1
10 7
0 1 2
1 0 0
2 0 0
1 2 1
1 0 1
1 2 2
2 2 1
2 2 0
0 1 0
1 1 1
10 7
1 1 2
1 3 1
0 3 2
3 0 1
1 3 0
0 2 1
1 2 0
2 3 2
1 2 3
3 0 3
10 7
0 2 0
2 0 1
0 0 1
2 0 0
2 0 2
0 1 1
2 1 1
1 1 1
0 0 2
1 0 2
10 7
3 0 3
3 2 1
2 1 2
1 0 3
0 1 0
1 2 3
0 3 0
1 3 3
3 2 3
2 3 3
10 2
2 2 3
2 3 2
3 1 0
0 1 3
2 1 0
0 3 2
0 0 3
2 2 0
1 0 3
2 0 2
10 4
2 0 3
3 2 0
2 3 1
3 2 1
0 0 0
0 0 2
2 3 3
2 0 2
1 1 3
0 3 0
10 4
0 0 0
2 2 1
0 0 1
2 1 0
0 1 1
1 0 2
0 2 1
2 0 1
1 0 1
2 0 0
10 9
2 0 0
2 1 1
1 0 2
0 0 1
2 0 1
2 1 0
0 1 0
1 1 1
0 1 1
0 0 2
10 5
0 2 0
2 1 2
2 0 1
1 2 0
1 0 1
1 0 0
1 0 2
0 0 0
1 2 2
1 1 2
10 4
1 0 0
2 3 2
1 1 2
3 0 1
1 2 0
2 2 2
2 0 0
2 3 1
2 1 3
2 0 1
10 3
0 1 2
2 1 2
1 2 2
0 0 2
0 2 2
0 1 0
1 1 2
0 0 1
2 0 1
0 2 0
10 4
2 0 3
2 0 2
1 1 1
3 0 3
1 0 2
3 0 1
2 1 3
0 1 0
3 1 1
1 2 2
10 4
2 1 0
2 0 1
1 2 0
0 1 2
0 1 1
1 0 1
2 2 1
2 2 0
2 2 2
1 1 2
10 3
1 0 2
2 0 1
2 2 1
0 2 1
0 2 2
0 0 0
2 0 0
1 0 0
0 2 0
2 1 1
10 6
3 3 3
3 1 1
0 3 2
3 2 0
1 3 3
2 2 1
3 1 0
1 1 0
3 0 3
2 1 2
10 9
2 1 2
2 1 1
1 1 2
1 0 1
1 0 0
0 2 1
2 0 0
0 0 1
0 2 2
2 1 0
10 3
0 0 2
3 2 2
0 3 1
2 3 2
2 1 0
0 3 2
3 0 1
2 1 1
3 0 2
1 2 1
10 6
1 0 2
0 0 2
0 1 2
0 2 2
1 1 0
2 1 1
2 2 1
0 0 1
1 2 0
2 2 0
10 7
2 1 2
2 2 1
1 1 1
1 0 0
1 0 2
0 2 0
0 0 0
1 1 2
1 2 2
1 1 0
10 5
1 0 3
0 2 0
0 1 0
3 2 1
3 2 0
0 3 2
3 1 3
2 3 2
3 1 0
3 0 0
10 6
1 2 1
1 0 1
0 0 2
1 0 0
1 2 0
2 1 1
2 1 0
1 1 0
1 1 1
2 0 0
10 3
0 2 2
2 2 1
2 1 0
2 0 2
1 1 2
1 2 0
1 0 2
0 2 1
1 0 1
1 1 0
10 9
2 0 3
2 2 3
0 3 0
0 1 1
1 3 1
3 2 3
3 1 3
3 3 2
2 0 1
0 2 1
10 5
0 3 0
3 1 0
2 0 2
1 0 2
2 3 1
2 0 0
3 2 2
1 3 1
2 3 2
2 0 3
10 5
2 1 0
1 1 0
0 1 2
0 2 0
0 1 1
2 2 2
2 0 2
1 2 1
2 0 0
2 2 0
10 3
0 1 2
1 0 2
0 2 2
2 1 2
1 2 2
0 0 2
2 0 0
2 1 0
0 1 0
0 0 1
10 9
1 2 2
2 2 0
0 0 2
0 0 1
0 1 0
2 1 2
1 1 2
2 0 2
0 2 2
1 2 1
10 7
2 2 2
1 1 2
2 1 0
1 2 1
1 0 0
1 0 1
1 1 0
0 2 1
1 2 0
2 2 1
10 8
0 2 1
0 1 1
1 0 0
0 0 0
2 0 2
2 2 2
2 1 2
0 2 2
2 0 1
2 2 1
10 3
0 1 2
2 1 1
2 2 1
1 0 0
2 0 1
1 0 2
2 0 0
1 1 2
1 0 1
1 2 0
10 7
2 2 1
1 2 0
2 2 0
1 1 2
1 0 0
1 1 1
2 2 2
0 2 1
2 1 1
0 0 2
10 9
0 3 2
1 3 2
2 1 1
2 2 0
3 0 1
0 2 1
2 3 1
1 0 0
0 2 2
2 0 0
10 6
1 1 2
0 2 2
2 0 0
1 1 1
2 0 1
1 2 2
1 1 0
0 0 0
2 2 2
1 0 1
10 6
1 2 0
1 0 2
0 0 0
1 1 2
2 2 2
1 1 1
2 0 0
1 0 1
0 2 2
0 2 1
10 7
2 1 1
2 1 2
0 1 1
0 1 0
1 0 1
1 0 0
2 2 2
1 2 0
0 0 2
0 0 0
10 4
0 1 1
1 2 0
0 2 2
2 0 0
1 1 1
2 1 2
0 0 0
2 0 2
1 1 0
0 1 2
10 9
2 0 1
1 1 0
0 1 1
1 2 2
2 1 0
2 0 2
2 2 1
1 1 2
0 2 1
2 1 1
10 5
1 2 0
2 2 2
3 0 3
0 0 3
2 0 0
2 0 2
3 0 1
1 1 0
0 2 2
0 0 1
10 8
2 3 3
1 3 3
3 0 0
1 1 1
1 2 0
2 0 1
2 2 2
1 2 2
0 0 2
2 2 1
10 4
1 1 0
2 0 1
0 0 1
1 2 1
2 0 2
0 2 2
0 1 1
0 2 1
2 2 1
1 1 2
10 8
0 2 0
3 0 1
2 3 0
1 0 3
1 1 3
2 3 2
0 2 2
1 1 2
0 0 2
3 2 0
10 8
1 3 3
2 1 0
0 3 3
3 3 3
0 3 1
0 0 1
3 2 1
3 3 0
0 3 2
0 2 0
10 2
0 0 2
0 0 1
1 1 2
0 0 0
1 1 1
2 1 2
2 2 2
1 2 1
1 1 0
2 2 1
10 7
1 3 0
0 2 2
0 1 3
2 1 0
1 1 1
1 2 0
1 1 3
1 0 0
2 0 2
1 0 3
10 5
1 0 0
0 1 0
0 2 1
2 1 0
1 2 2
2 1 1
2 0 0
1 0 2
2 2 0
0 1 2
10 6
2 0 1
1 0 1
1 1 2
0 1 1
0 1 2
0 2 1
0 0 2
1 2 2
0 1 0
2 2 1
10 3
0 0 2
0 0 0
0 1 1
1 2 2
0 1 0
2 2 2
0 2 0
2 1 1
0 1 2
1 1 2
10 5
2 3 1
1 3 2
1 2 3
0 3 0
2 2 2
2 1 2
0 2 0
2 2 1
1 1 2
1 1 1
10 6
2 0 1
1 2 0
3 1 0
1 3 0
3 2 0
0 3 1
1 1 3
2 2 2
0 3 2
2 3 2
10 5
2 1 2
2 2 1
1 0 0
2 1 1
0 0 2
1 1 2
0 1 0
0 0 0
1 0 1
2 2 2
10 9
0 1 0
2 1 2
0 0 1
0 2 1
1 1 2
0 1 1
2 2 2
2 1 1
2 0 0
2 2 0
10 9
2 2 2
0 1 1
0 0 0
1 2 1
1 0 2
1 2 2
2 1 2
0 2 1
0 1 0
0 2 2
10 4
2 0 2
0 1 1
1 2 2
2 2 1
2 1 0
0 1 0
0 0 2
1 0 2
2 1 1
2 0 0
10 3
2 1 0
1 2 2
0 2 0
1 0 0
2 0 0
1 2 0
1 1 0
2 0 2
1 1 2
2 1 2
10 4
3 0 1
3 0 0
1 0 3
0 3 2
2 1 3
0 2 2
2 1 1
2 0 1
2 0 2
2 3 1
10 7
3 2 1
3 0 0
0 0 1
0 3 3
2 2 2
0 1 2
0 1 3
1 3 3
0 2 0
1 2 1
10 2
1 0 1
1 0 2
0 1 0
2 1 1
1 2 0
1 1 2
2 2 2
0 2 2
0 2 0
0 0 2
10 3
1 2 0
0 1 2
0 0 2
1 2 1
1 0 0
0 2 0
0 0 0
1 0 2
0 1 0
2 2 0
10 8
2 0 0
3 2 2
2 0 2
1 1 0
0 3 3
1 0 0
0 2 0
0 2 1
0 0 3
3 2 3
10 6
2 2 0
0 1 0
2 0 1
1 0 2
1 2 0
0 1 2
0 2 2
2 0 0
0 1 1
2 0 2
10 2
0 3 1
3 3 3
3 1 0
2 1 1
2 2 2
3 3 0
2 1 0
1 0 1
0 1 1
0 0 0
10 6
3 3 3
3 3 0
1 2 3
3 3 2
1 3 0
3 2 2
2 1 0
1 0 1
2 1 3
3 1 1
10 7
0 0 2
1 2 3
1 0 2
0 3 3
0 0 3
2 1 2
3 3 3
3 0 3
0 3 1
0 3 2
10 5
3 0 2
2 3 3
1 3 2
3 3 1
3 1 3
1 1 0
3 2 2
1 1 1
3 3 0
0 0 2
10 2
2 2 1
0 2 0
2 1 2
1 0 3
1 0 2
3 2 0
2 1 3
3 0 1
2 2 0
2 0 2
10 5
2 2 3
2 0 0
3 2 0
1 3 1
3 0 0
0 3 3
1 1 3
2 1 2
1 0 2
0 0 2
10 4
1 2 1
0 2 1
0 1 0
1 0 0
2 1 2
2 0 0
0 1 1
2 0 2
0 1 2
2 2 0
10 8
0 0 0
1 1 2
2 1 2
2 2 1
1 2 2
1 0 0
2 0 2
2 0 0
1 1 1
2 1 0
10 5
0 2 2
1 2 2
2 1 1
2 2 1
0 0 0
1 1 1
2 1 2
2 0 2
1 0 2
0 1 0
10 7
3 1 1
3 0 1
1 2 0
0 1 0
1 3 3
1 0 0
2 0 1
3 3 2
3 1 0
0 3 0
10 2
2 1 2
0 1 1
1 2 0
1 1 0
1 1 2
0 0 0
2 2 1
0 2 2
1 0 1
0 2 0
10 8
3 1 1
0 0 0
3 2 0
2 3 2
0 0 3
0 1 0
1 0 0
3 3 2
1 1 2
2 2 1
10 5
0 1 2
0 3 3
0 1 1
0 3 2
3 2 3
1 0 1
3 3 1
0 3 0
1 1 2
2 3 1
10 8
0 2 2
1 2 0
1 2 1
0 0 0
2 2 0
0 0 2
1 0 2
1 0 0
0 2 0
1 1 2
10 4
3 0 0
3 3 0
2 3 3
0 2 3
2 3 1
3 3 2
3 2 3
3 0 2
0 3 2
0 2 2
10 8
2 3 2
3 2 1
1 1 2
3 3 3
3 0 0
2 1 2
2 0 3
2 2 3
0 1 3
2 2 2
10 2
1 1 2
2 2 1
0 1 0
1 1 1
0 2 2
1 0 0
2 1 1
0 0 0
1 2 2
2 2 0
10 8
3 3 3
0 0 3
1 2 0
1 3 1
3 2 3
2 3 2
1 1 3
2 2 2
1 3 0
2 2 1
10 5
1 0 2
2 0 0
2 2 2
1 2 2
1 1 2
0 0 1
1 2 1
1 1 1
0 1 0
2 1 1
10 8
0 2 3
3 3 3
3 3 1
2 3 1
2 2 3
3 1 1
0 2 1
2 1 2
3 2 2
2 3 2
10 7
0 2 0
2 3 0
0 0 2
2 3 2
2 2 1
2 2 2
3 0 1
3 2 1
0 3 2
3 1 2
10 8
1 0 1
0 2 0
2 1 0
0 2 2
0 1 0
1 0 0
2 1 2
1 1 1
2 0 2
1 2 0
10 3
2 2 2
2 3 2
1 3 2
0 3 3
2 2 0
3 0 2
1 1 2
0 1 2
0 0 3
0 2 0
10 6
2 1 0
0 1 2
0 0 1
1 1 1
0 1 1
1 2 1
2 1 2
0 1 0
1 0 0
2 1 1
10 4
3 3 0
1 0 3
0 1 1
2 2 3
3 0 0
3 0 3
1 2 0
2 0 2
1 2 2
3 1 1
10 7
2 3 3
3 3 2
0 1 3
0 1 2
0 0 2
2 2 3
3 1 1
2 3 1
0 1 0
1 2 0
10 6
1 0 2
1 2 3
0 0 0
2 2 0
0 3 0
2 1 0
1 1 1
3 2 2
3 3 0
3 0 1
10 5
1 1 0
2 2 3
0 2 3
0 1 2
1 0 0
0 0 3
2 3 1
1 3 2
3 3 3
3 3 1
10 6
3 0 2
2 2 3
1 0 2
0 2 3
2 2 1
1 1 3
3 2 2
0 3 0
3 3 0
1 1 0
10 6
0 3 1
3 3 2
0 3 0
0 2 1
0 3 2
0 0 2
3 3 3
3 1 0
1 3 0
0 2 0
10 6
2 0 1
1 1 1
2 2 0
0 0 0
2 1 2
2 1 0
1 0 0
2 0 2
0 2 0
1 0 1
10 9
0 2 2
0 0 1
1 2 0
1 0 0
0 1 1
2 1 1
2 0 0
2 2 0
1 1 2
0 1 2
10 2
0 0 1
2 1 1
2 1 2
2 2 0
1 0 1
2 0 2
0 2 2
1 2 1
0 2 1
2 1 0
10 3
0 2 2
0 1 0
0 0 1
0 0 0
1 1 2
2 1 0
1 1 1
2 0 0
1 2 2
1 0 1
10 3
1 2 1
0 1 0
1 2 0
0 0 2
2 1 1
0 1 2
2 0 2
0 0 1
2 2 2
0 2 1
10 9
0 2 1
2 1 1
1 2 0
1 0 0
1 0 2
2 1 2
2 2 1
2 2 0
0 0 1
1 1 1
10 4
0 2 0
1 2 2
2 2 0
0 1 1
2 0 2
1 0 1
2 1 2
1 1 0
0 1 2
1 2 0
10 8
0 2 0
1 1 2
2 2 0
2 2 1
2 0 0
1 2 2
1 0 2
0 2 1
1 2 0
1 1 0
10 9
2 1 2
0 1 2
2 0 0
0 0 2
1 0 1
0 1 0
1 0 2
1 1 1
0 0 0
1 2 2
10 5
0 2 0
0 2 1
0 1 2
2 0 0
1 0 2
0 2 2
0 0 1
0 1 0
2 2 0
1 2 1
10 2
0 2 1
2 2 0
2 2 2
2 0 0
0 0 0
1 2 2
1 1 0
1 1 1
0 0 1
2 2 1
10 9
1 0 0
2 2 2
0 2 1
2 2 1
2 0 0
2 0 1
1 2 1
1 1 0
1 0 2
2 2 0
10 8
2 2 1
1 0 0
1 0 1
1 2 0
2 1 1
2 0 0
0 2 1
2 1 2
1 2 1
1 1 1
10 8
2 2 1
1 2 2
2 1 2
1 2 0
2 2 0
2 0 1
0 2 1
2 0 2
2 2 2
2 0 0
10 3
2 1 2
2 0 1
2 2 1
0 1 1
1 2 0
0 2 2
0 2 0
2 0 0
1 0 1
2 2 0
10 7
0 3 2
3 1 2
2 3 0
3 3 0
2 1 3
2 2 1
1 2 2
3 0 3
1 1 0
1 3 1
10 8
0 1 0
2 1 1
2 1 2
1 2 0
0 1 2
0 0 0
1 2 2
2 0 1
2 0 2
1 1 2
10 2
1 0 1
2 0 2
0 1 0
2 0 1
0 0 1
0 1 1
0 0 2
2 2 0
2 2 1
2 1 0
10 6
1 1 1
2 0 2
1 3 1
1 2 2
3 1 0
0 1 1
0 2 0
1 3 3
1 0 3
3 2 3
10 8
2 2 2
0 1 0
2 0 2
1 2 1
1 1 2
1 0 1
2 2 0
0 2 2
2 1 2
2 0 0
10 2
0 3 3
2 3 1
0 1 0
3 2 3
1 3 1
3 3 2
1 0 1
0 0 1
1 2 0
0 1 1
10 7
0 0 1
2 1 2
1 2 2
0 2 1
2 0 1
1 2 1
0 1 0
0 1 2
1 0 1
1 1 1
10 2
2 1 3
1 3 3
1 3 2
2 3 2
1 1 2
1 2 1
2 2 1
1 3 0
1 1 1
3 2 3
10 5
0 2 0
2 0 2
2 0 1
1 0 2
2 2 0
0 0 0
1 0 1
1 1 0
2 0 0
1 2 1
10 6
1 0 2
1 2 0
1 2 2
1 0 1
2 0 1
0 0 0
0 1 2
0 0 1
2 2 0
0 2 0
10 5
1 0 2
2 2 2
0 3 2
3 3 3
3 0 2
3 3 1
2 0 1
1 1 2
0 0 0
1 0 3
10 9
1 2 1
1 0 0
0 3 3
2 3 1
1 3 2
0 1 2
2 1 3
2 3 0
1 0 2
0 0 0
10 9
1 1 1
1 1 0
0 2 2
1 2 1
2 0 2
1 1 2
2 1 1
0 2 0
2 0 1
2 1 2
10 6
3 2 1
1 3 1
3 2 2
3 1 3
1 0 0
3 3 3
1 3 2
3 2 0
1 2 2
1 0 3
10 7
3 1 2
3 0 3
1 3 0
0 1 0
2 1 3
1 0 3
1 0 0
1 3 2
1 3 1
0 1 1
10 7
1 0 1
1 1 1
0 2 1
2 0 1
2 1 2
0 1 2
2 1 1
2 2 0
2 0 0
1 2 0
10 5
1 1 3
2 3 1
3 0 0
3 2 2
0 2 2
1 3 0
2 3 2
1 2 0
0 3 0
2 1 3
10 4
1 1 0
2 0 0
0 1 2
2 0 2
3 3 0
1 0 2
2 2 0
1 1 1
3 2 1
2 3 0
10 5
0 1 1
0 2 0
1 0 0
2 2 2
1 2 0
1 2 2
0 0 1
2 0 0
2 0 2
2 2 1
10 8
1 1 3
3 0 3
1 2 2
0 0 0
1 0 3
2 3 1
3 1 2
1 2 1
3 1 0
0 0 3
10 7
2 0 2
2 1 0
2 0 1
1 0 2
0 1 0
2 0 0
0 1 1
0 0 1
1 1 0
2 1 2
10 4
2 1 1
1 3 0
1 0 1
1 2 1
1 1 1
2 0 2
3 0 2
3 3 1
1 2 3
2 2 3
10 9
0 3 0
1 0 1
2 2 3
2 0 3
0 3 2
1 2 1
3 3 3
3 2 3
0 0 2
0 2 0
10 7
1 1 3
1 3 2
1 2 1
0 0 1
1 0 1
0 2 3
2 1 1
1 0 2
0 2 2
1 0 3
10 3
2 1 1
2 2 2
3 2 2
2 0 1
1 2 1
1 2 2
0 3 2
3 0 3
1 0 0
2 2 0
10 4
0 1 2
2 0 3
3 1 0
0 2 1
0 3 2
1 1 0
1 1 3
2 0 0
0 3 0
0 0 0
10 2
0 1 1
2 0 1
2 0 2
0 0 2
1 0 1
0 0 0
2 0 0
1 1 0
1 1 1
1 1 2
10 5
0 0 0
2 2 2
2 1 0
0 1 2
0 1 0
1 1 0
0 2 0
2 0 2
0 1 1
1 1 1
10 4
2 2 2
2 0 0
2 2 0
2 0 2
1 0 1
0 1 0
0 2 0
1 2 0
1 1 1
2 0 1
10 9
0 1 2
0 0 0
2 1 1
1 0 2
0 3 1
1 3 1
0 3 0
0 3 3
2 1 0
0 1 3
10 6
1 0 1
3 0 3
0 2 0
1 1 0
1 0 3
3 2 0
3 2 3
1 2 0
3 3 2
3 0 1
10 3
0 3 0
1 1 1
2 3 3
1 1 3
0 3 3
2 0 1
3 0 0
1 2 3
2 0 3
0 0 1
10 7
3 1 0
2 1 1
0 3 2
0 1 1
2 0 3
2 3 2
3 1 1
1 2 1
1 3 0
1 3 2
10 2
3 2 0
0 1 1
2 2 2
1 2 2
0 2 1
3 0 1
2 1 2
0 3 0
1 0 2
0 2 2
10 2
2 0 0
2 0 1
1 2 1
1 1 2
1 2 0
1 2 2
1 1 0
1 0 0
0 1 2
2 1 0
10 5
0 1 3
1 2 0
0 3 3
3 3 3
3 0 3
1 3 3
0 2 1
3 2 1
2 3 2
3 3 2
10 8
2 0 3
0 0 3
3 1 2
1 3 3
0 2 1
2 3 0
2 2 0
0 2 2
0 0 2
0 1 1
10 8
2 1 0
0 0 1
0 2 1
1 2 0
1 2 2
0 0 0
1 1 0
2 2 1
0 0 2
1 0 1
10 8
2 0 2
2 1 1
1 1 0
0 2 0
1 2 0
1 0 0
0 1 1
2 0 1
2 1 0
2 0 0
10 3
1 2 2
2 1 2
2 0 2
2 1 0
0 0 1
2 2 1
1 1 1
1 2 1
2 0 0
1 1 2
10 2
1 0 1
2 1 1
2 2 2
2 0 0
1 2 1
1 1 0
0 2 0
1 2 0
2 2 1
2 0 2
10 2
2 3 0
2 1 1
1 2 0
3 0 2
3 3 1
2 1 0
0 1 1
3 1 1
0 2 2
2 0 0
10 6
0 2 1
2 2 3
1 2 2
3 0 2
2 1 3
2 0 1
2 1 0
1 3 1
1 0 0
0 3 0
10 2
1 1 1
3 0 1
1 3 3
3 2 3
2 3 3
3 1 1
1 3 1
2 2 0
2 3 1
3 3 0
10 2
3 2 0
3 0 3
3 2 1
0 0 1
3 0 2
3 3 2
1 3 3
0 2 2
3 1 2
3 1 3
10 5
1 2 0
3 0 0
3 1 0
1 2 1
2 0 3
1 1 3
2 1 0
0 2 1
3 1 3
1 0 1
10 4
1 3 0
1 1 2
0 1 0
1 0 2
0 1 2
2 2 1
3 0 3
2 1 0
3 0 2
3 0 0
10 4
0 0 1
0 2 2
0 1 2
2 1 0
0 0 2
0 1 1
0 1 0
1 1 2
2 2 1
2 1 2
10 7
1 0 2
2 0 1
1 1 2
0 2 0
2 2 1
0 2 1
2 2 2
1 0 0
2 1 0
2 0 0
10 8
1 2 1
1 2 0
0 2 2
1 1 0
0 2 0
2 2 2
0 0 2
2 1 2
0 0 0
0 1 0
10 4
2 0 0
2 1 1
1 2 2
1 0 1
2 0 1
1 1 0
1 1 1
1 2 1
2 1 0
0 1 2
10 3
1 1 0
1 2 0
0 1 0
0 0 1
0 0 2
2 1 1
2 2 2
0 1 1
2 2 1
1 0 2
10 2
0 0 1
2 0 1
1 0 0
0 1 2
0 1 1
0 0 2
0 2 2
0 1 0
1 1 1
2 2 0
10 9
2 2 0
2 0 1
1 1 1
2 2 1
0 1 2
2 1 0
1 0 2
2 1 1
2 0 2
1 2 0
10 6
0 0 2
0 3 3
1 3 1
2 3 2
2 0 3
0 0 1
3 2 2
3 0 2
1 1 0
2 2 1
10 2
0 1 0
0 2 0
1 2 1
2 0 2
2 2 0
1 0 1
0 0 2
1 1 0
2 2 1
0 0 0
10 3
0 0 0
2 1 1
2 1 0
2 2 2
0 2 2
2 0 1
2 2 1
2 1 2
0 1 0
1 1 0
10 6
0 2 0
1 2 1
2 0 2
0 2 1
2 2 0
2 1 1
2 0 1
2 1 0
1 1 0
0 1 2
10 7
0 0 0
1 2 2
1 1 0
1 1 1
2 2 2
0 0 1
2 0 1
1 0 0
0 2 1
2 1 0
10 7
2 2 0
2 1 2
0 1 1
1 1 2
0 0 0
0 1 2
1 2 0
1 1 0
0 2 0
0 0 1
10 7
2 2 0
0 3 3
3 3 2
1 1 1
2 0 3
1 0 0
2 3 1
3 2 0
0 3 0
0 2 3
10 7
0 0 2
0 2 1
2 2 0
1 2 2
0 0 1
2 1 1
1 0 0
1 1 1
0 1 1
2 0 2
10 6
3 2 0
0 3 3
1 0 3
3 3 0
0 2 0
0 3 2
1 1 1
1 2 3
1 2 0
2 2 0
10 3
0 3 1
2 2 0
0 3 2
1 0 0
0 2 1
1 3 2
3 1 0
3 1 2
1 1 0
2 2 2
10 3
1 2 0
1 2 1
2 0 2
1 0 1
2 0 1
2 1 1
2 1 0
1 1 2
1 0 0
0 2 0
10 5
0 1 2
1 1 1
2 2 2
2 0 0
0 2 2
2 2 0
0 0 2
1 2 2
0 2 1
2 2 1
10 9
3 1 1
1 2 2
3 2 1
3 2 3
0 3 3
2 2 3
1 3 3
0 3 2
3 1 3
3 3 2
10 7
1 3 3
3 3 2
1 1 0
0 2 1
3 0 1
0 2 0
3 1 0
3 2 3
3 1 1
2 0 3
10 8
2 2 0
2 1 2
0 0 0
0 1 2
2 1 0
1 2 0
0 2 0
1 1 2
0 2 2
0 2 1
10 7
0 0 0
1 1 2
2 2 0
0 2 1
2 0 1
1 2 0
0 0 2
2 2 1
0 1 1
1 2 1
10 8
2 1 1
0 0 2
0 2 0
2 2 2
1 0 2
1 1 0
0 1 1
2 0 1
1 2 1
1 2 2
10 4
1 1 1
1 2 0
0 2 2
0 1 0
0 0 2
1 0 0
1 1 0
2 2 0
1 2 2
1 2 1
10 5
1 2 3
2 1 1
2 3 3
2 3 2
3 2 1
0 1 3
3 1 3
3 0 2
1 3 0
2 0 0
10 4
0 0 1
2 2 1
0 0 2
2 0 0
1 1 2
0 0 0
1 0 2
0 2 0
2 0 2
1 2 0
10 3
2 2 0
1 2 1
0 2 0
2 2 1
1 2 0
2 0 1
0 2 1
0 2 2
0 0 0
1 1 0
10 5
3 3 0
1 3 3
1 2 3
1 1 0
3 1 3
2 0 2
3 0 2
0 3 2
0 1 3
3 2 3
10 3
0 1 1
2 0 2
0 2 2
2 1 1
1 2 2
0 0 0
0 2 0
2 2 1
0 1 0
2 1 2
10 8
1 2 1
0 1 2
0 0 0
1 0 1
2 2 2
2 2 0
1 0 2
2 1 2
0 1 1
2 0 2
10 3
3 1 0
1 0 3
0 0 0
0 1 2
0 3 0
2 2 1
0 1 0
2 0 2
1 3 0
3 1 1
10 8
2 2 0
2 1 1
2 2 2
0 2 1
0 0 1
0 1 1
0 0 0
1 0 0
2 1 2
2 1 0
10 4
1 0 1
1 2 2
2 1 2
2 2 1
0 2 1
2 0 1
0 2 2
1 2 1
1 1 0
1 0 2
10 3
2 0 0
1 2 0
1 0 1
1 1 0
0 0 0
1 1 1
0 2 2
0 1 0
2 0 2
1 0 2
10 8
3 2 2
0 0 1
1 0 1
0 1 2
0 1 1
0 3 3
3 3 0
2 1 2
1 0 0
0 2 0
10 9
0 1 0
2 0 0
0 1 2
2 1 1
0 2 0
0 0 2
1 2 1
0 1 1
1 2 2
2 2 2
10 8
0 1 2
1 0 3
2 2 3
3 2 2
3 1 1
1 0 2
0 2 1
3 0 1
2 3 0
2 2 2
10 7
1 1 1
1 1 0
2 0 2
1 2 1
2 0 1
0 0 1
0 2 1
0 1 0
1 0 0
2 2 1
10 3
3 1 3
0 0 0
3 2 1
2 2 2
0 2 2
3 0 2
1 2 3
0 2 0
2 1 3
1 1 1
10 7
0 0 2
1 1 0
2 1 2
0 0 0
1 2 0
1 0 0
2 2 1
1 2 1
1 2 2
2 1 0
10 8
0 0 3
0 1 0
0 1 2
3 3 0
2 3 2
0 3 0
2 0 0
0 0 1
2 3 0
3 2 0
10 4
1 0 0
0 2 0
0 2 1
2 0 2
1 1 0
0 2 2
1 2 2
2 2 0
1 0 1
0 0 0
10 3
2 1 1
1 1 1
2 2 0
1 2 2
1 1 2
0 1 2
0 2 1
2 1 0
1 0 0
2 0 0
10 9
1 1 1
1 0 2
2 2 2
1 1 0
0 0 0
2 1 1
1 2 0
2 0 0
1 1 2
0 2 0
10 6
2 2 2
1 1 2
2 1 2
0 0 1
0 1 0
2 2 1
2 0 2
2 1 0
0 2 1
1 2 1
10 6
0 1 1
0 0 1
2 0 0
0 2 2
0 1 0
2 2 2
1 0 1
1 2 0
1 2 1
2 2 0
10 9
3 2 1
3 1 3
1 2 2
3 0 1
2 0 2
0 1 2
3 3 0
1 0 1
1 1 3
1 3 1
10 6
3 2 0
0 3 1
2 0 3
2 3 3
1 3 0
0 1 2
0 2 3
1 3 3
3 2 2
2 3 2
10 3
0 2 0
3 0 3
2 1 3
3 1 3
1 2 2
0 1 3
2 3 3
1 3 2
2 2 1
0 1 2
10 6
2 0 0
1 2 1
2 2 0
1 1 2
0 2 1
2 2 1
2 1 0
1 0 0
2 0 1
1 2 2
10 3
1 2 0
2 0 0
2 2 1
0 1 0
2 1 1
2 0 1
1 1 1
2 2 0
0 2 2
1 1 2
10 7
0 1 2
1 1 2
3 3 2
0 3 3
2 1 2
1 2 3
1 2 0
0 1 1
2 0 1
3 0 3
10 3
3 0 1
3 1 0
1 0 0
1 1 2
2 3 3
2 0 2
0 3 3
3 2 0
1 3 3
0 1 3
10 4
3 1 0
3 2 0
1 2 2
2 2 0
1 1 1
0 1 2
0 0 0
2 2 1
3 3 2
0 1 3
10 4
1 1 1
2 1 2
1 2 2
1 1 0
2 0 1
0 0 2
0 2 0
1 2 0
2 0 2
0 2 2
10 9
1 0 2
0 3 1
0 0 2
1 0 3
1 0 1
3 3 0
2 0 1
3 3 1
3 2 3
0 3 3
10 7
1 0 2
2 1 1
2 2 1
1 0 1
0 0 1
1 2 2
0 1 2
2 0 2
0 2 2
1 0 0
10 3
0 1 0
2 0 2
0 2 1
1 2 1
0 2 0
1 1 2
1 0 2
1 1 1
1 2 2
0 1 1
10 3
3 2 3
3 3 0
0 0 1
0 0 2
0 0 0
3 1 1
3 3 3
3 2 2
2 0 2
0 1 2
10 6
0 1 2
0 0 0
2 2 0
2 1 2
2 1 0
1 0 0
2 0 0
2 0 1
0 1 1
2 1 1
10 8
2 2 3
1 2 0
2 1 1
0 2 2
0 2 0
0 0 2
2 1 2
3 2 3
1 0 1
2 2 0
10 7
2 2 0
2 1 2
2 0 0
1 0 0
1 2 2
0 2 2
1 1 1
1 2 1
2 1 0
0 0 1
10 3
1 0 0
1 1 2
1 1 1
2 0 2
0 0 0
0 2 2
0 0 2
2 2 1
2 2 0
1 2 2
10 3
2 2 2
2 2 0
1 0 0
2 0 2
0 2 0
1 1 2
0 0 1
2 0 0
2 2 1
2 1 2
10 8
0 1 2
1 2 2
0 2 1
1 1 2
1 1 1
2 0 1
1 0 2
1 0 1
2 2 2
0 0 1
10 6
1 2 0
0 2 2
0 2 0
0 1 0
1 2 2
0 1 1
2 1 2
0 0 0
1 1 1
2 1 0
10 3
0 2 0
1 0 2
2 2 0
0 2 3
3 3 3
3 2 2
2 0 2
0 0 1
2 3 0
3 2 3
10 5
2 0 2
1 0 0
2 1 2
3 3 1
1 1 1
0 1 0
2 3 2
2 3 0
3 1 0
3 0 1
10 9
3 1 0
0 2 0
0 0 1
0 0 0
0 0 3
0 1 1
1 3 1
0 2 2
3 2 2
3 2 0
10 8
0 1 1
2 0 2
0 0 0
2 0 1
0 2 2
2 2 2
2 2 0
2 2 1
0 0 1
2 1 0
10 3
2 2 2
2 1 2
2 0 0
0 2 2
0 1 2
1 2 0
1 2 2
2 2 1
0 2 0
0 0 2
10 3
3 3 1
0 1 2
2 1 1
2 2 2
3 2 0
1 2 0
2 3 3
3 0 3
0 2 2
0 1 3
10 9
1 2 2
1 0 1
2 2 0
2 0 0
0 1 0
1 1 0
2 0 1
0 2 2
2 2 1
1 0 0
10 3
1 3 2
0 0 3
1 2 0
1 0 3
2 2 3
3 0 0
0 3 3
2 1 2
3 0 2
3 3 3
10 3
2 2 0
2 1 2
2 0 0
1 2 2
1 1 2
2 0 1
0 2 2
1 1 0
0 0 2
1 1 1
10 2
2 1 1
3 2 1
3 1 0
1 0 3
1 3 0
3 2 3
2 3 2
2 0 3
1 0 2
1 0 1
10 7
2 2 3
3 2 0
3 1 0
2 2 0
0 2 0
1 3 1
2 0 3
1 2 3
2 1 3
1 0 1
10 4
1 2 2
2 0 0
0 0 2
0 0 0
1 1 1
2 0 1
0 1 0
2 2 1
2 1 2
2 2 0
10 5
2 2 2
2 0 0
0 0 0
1 0 2
2 1 2
0 1 0
0 2 2
1 0 1
2 2 0
1 1 1
10 3
0 0 0
2 1 2
0 2 1
1 2 0
1 0 1
0 1 1
2 2 2
0 1 2
1 0 2
2 1 1
10 5
3 0 0
0 1 0
1 0 0
1 3 0
2 0 2
0 1 3
1 1 3
1 1 1
0 2 1
2 1 2
10 2
1 3 2
0 3 2
3 0 3
0 1 1
2 2 0
0 2 0
1 3 1
0 3 3
0 3 0
2 0 0
10 4
2 2 1
0 0 2
2 1 2
2 1 0
1 1 2
0 2 0
1 0 0
1 1 1
2 1 1
0 0 0
10 8
2 2 2
2 0 2
2 1 2
1 0 1
0 1 1
2 0 1
0 1 0
2 2 0
0 2 0
1 2 0
10 4
2 2 0
2 1 1
2 1 0
1 1 2
1 2 0
0 1 1
0 2 0
0 0 0
1 1 1
0 0 2
10 7
2 0 2
0 1 0
2 2 0
0 2 1
1 0 0
2 2 2
0 1 2
0 0 0
2 2 1
2 0 0
10 8
2 2 2
1 3 3
0 3 3
2 3 1
0 3 1
3 1 3
0 1 3
3 3 0
2 0 1
3 1 1
10 2
2 1 0
0 0 1
0 0 2
2 0 2
1 3 1
0 2 2
0 0 3
1 1 2
0 2 0
1 0 2
10 3
1 1 2
0 0 1
1 2 2
1 0 1
0 1 0
2 1 1
2 0 2
2 0 0
2 2 1
0 0 2
10 2
2 3 1
3 0 3
1 1 1
0 0 2
0 0 3
1 2 1
3 0 0
2 0 1
0 3 1
0 1 3
10 8
1 1 1
2 3 1
0 2 0
2 3 0
1 1 3
3 1 1
3 2 2
3 0 0
3 3 1
1 0 1
10 2
2 1 0
1 2 1
2 2 1
0 2 0
1 0 0
1 2 0
2 1 2
2 0 2
2 2 2
0 0 0
10 7
1 0 2
2 2 1
0 2 2
1 2 2
0 0 0
2 1 0
1 1 2
0 1 0
0 1 1
2 0 2
10 3
2 0 1
1 1 1
0 1 2
3 1 0
3 0 1
3 0 2
1 1 0
0 2 0
1 3 3
0 3 3
10 7
2 1 2
2 0 2
2 1 1
2 1 0
1 0 1
0 2 2
2 0 1
1 1 0
1 2 1
1 0 0
10 7
2 1 1
1 1 0
2 0 1
1 0 0
0 0 1
0 1 2
1 1 2
0 1 1
2 2 1
0 2 0
10 8
1 0 0
2 2 2
0 1 0
0 0 2
0 1 2
0 2 0
1 1 2
1 2 1
2 1 1
2 1 2
10 5
2 1 2
2 2 1
0 0 1
2 2 0
2 0 2
1 0 2
2 1 1
0 1 1
1 2 2
1 1 2
10 8
2 1 0
0 0 2
1 1 1
1 2 0
0 0 0
2 0 2
1 0 1
2 0 0
1 0 0
1 2 1
10 8
3 0 2
3 2 0
1 1 3
2 3 1
1 0 1
0 2 0
1 2 0
2 0 0
3 2 1
0 0 3
10 7
2 0 1
2 2 0
2 2 2
3 1 1
0 3 2
0 0 3
0 0 0
2 3 1
0 2 2
1 1 2
10 5
0 2 2
0 3 3
2 0 3
3 0 1
3 3 0
0 3 2
2 3 1
3 1 2
3 0 3
2 3 3
10 7
0 0 0
3 3 3
1 1 0
3 3 0
0 3 1
1 1 3
2 1 0
1 0 2
0 2 0
3 0 0
10 4
0 1 1
1 2 2
2 2 1
0 0 2
2 0 0
2 2 0
2 1 2
2 1 0
2 2 2
1 0 1
10 8
2 1 3
1 1 2
3 2 0
1 3 2
2 3 3
2 3 1
3 1 0
3 3 0
0 3 1
1 1 0
10 4
2 2 2
1 1 0
2 1 1
0 0 1
1 0 2
2 2 1
1 2 2
0 0 0
0 0 2
2 0 1
10 2
0 1 2
2 0 0
1 1 2
1 1 1
2 1 1
0 2 2
2 1 0
0 2 0
0 0 0
0 1 0
10 4
2 0 1
2 0 2
2 2 0
2 2 1
2 1 1
0 2 1
0 0 0
0 0 1
0 1 0
1 1 2
10 3
1 0 2
2 1 0
0 0 1
2 0 0
2 1 1
0 1 0
2 0 2
0 1 2
0 2 2
1 1 0
10 7
3 3 1
3 1 3
1 3 2
2 3 2
0 1 3
0 2 0
2 0 0
1 1 0
0 0 0
0 0 3
10 9
1 2 2
2 2 0
2 0 2
2 0 0
1 1 1
0 1 0
1 0 2
0 0 0
0 2 1
1 0 0
10 5
1 0 0
1 1 0
2 1 2
1 2 1
2 0 2
0 2 1
0 1 1
2 0 1
2 2 0
0 0 2
10 2
2 0 3
1 1 2
0 3 0
2 3 1
1 3 1
3 1 0
3 0 1
0 2 2
1 0 0
3 0 0
10 7
2 3 2
0 1 2
0 2 3
1 0 2
0 0 3
1 0 1
2 2 0
2 0 1
0 2 1
3 2 1
10 3
1 0 2
2 2 0
1 2 1
2 1 0
0 2 1
0 2 2
1 1 0
1 2 0
2 1 1
1 2 2
10 6
2 2 0
2 0 2
1 0 1
0 1 1
2 0 0
1 1 0
1 2 1
0 2 2
1 2 2
0 0 1
10 8
1 1 2
2 1 2
1 0 1
1 2 1
0 0 0
0 0 2
2 2 1
2 1 0
0 1 1
1 0 2
10 7
0 3 3
2 1 2
3 3 2
1 0 0
0 2 1
0 1 2
3 1 2
2 1 0
3 2 3
2 0 1
10 5
3 0 0
0 2 1
3 2 2
3 2 3
0 3 0
3 1 0
2 1 2
1 2 1
3 3 3
3 3 2
10 6
1 2 1
3 3 1
3 1 1
3 2 1
2 2 0
0 2 2
0 3 1
0 1 2
3 3 3
0 2 3
10 7
2 1 2
3 3 1
2 2 0
3 1 2
3 0 3
3 3 0
1 0 0
1 3 0
3 0 1
0 0 0
10 2
3 2 2
0 0 2
1 3 3
0 3 0
1 3 2
0 3 2
2 2 1
2 1 1
2 0 2
0 3 3
10 6
1 2 1
1 0 1
1 2 0
0 2 2
1 0 0
0 0 1
2 0 0
0 1 1
1 1 0
2 2 0
10 8
2 1 2
1 1 1
1 0 0
2 0 1
1 0 1
1 0 2
1 2 1
2 0 2
0 0 1
2 2 1
10 8
1 2 0
1 1 1
2 2 2
0 0 2
2 1 0
2 2 1
0 1 2
2 0 0
0 2 0
2 0 2
10 6
1 1 2
0 0 0
0 1 2
1 2 2
0 2 2
2 0 0
2 1 1
2 2 1
1 0 1
1 0 0
10 6
1 2 0
1 1 0
1 2 1
0 1 1
0 1 2
1 0 0
2 0 2
2 2 2
2 0 0
0 2 0
10 2
2 0 0
2 2 0
1 1 1
0 1 0
2 1 0
0 0 0
1 0 0
0 1 1
1 1 0
0 0 1
10 9
1 1 0
2 1 1
2 2 1
2 0 0
1 0 0
0 1 0
0 0 1
1 2 1
0 1 2
1 0 1
10 7
2 1 2
2 3 0
1 2 3
0 1 2
0 3 0
3 2 1
2 0 1
1 1 2
3 1 3
2 2 0
10 8
0 0 2
0 2 2
2 1 0
0 0 0
1 0 2
1 1 0
0 1 2
2 0 0
1 1 1
1 2 1
10 7
1 0 1
1 2 1
2 1 0
1 0 0
2 2 0
0 2 0
1 1 0
2 1 2
0 2 1
0 2 2
10 9
1 1 0
2 3 2
1 2 3
3 3 0
0 0 3
2 0 1
0 1 0
1 3 0
2 3 0
0 1 2
10 9
2 2 2
2 1 2
0 1 2
0 2 2
1 2 1
1 0 2
2 0 2
2 0 0
2 2 1
1 2 0
10 4
2 1 1
2 0 0
3 3 0
3 2 2
3 0 2
3 1 0
0 3 1
3 1 2
0 1 3
2 0 1
10 9
2 2 1
0 2 1
2 0 0
2 1 0
0 0 2
1 1 2
1 2 2
2 2 0
1 0 1
2 0 1
10 4
1 1 0
2 2 1
0 0 2
0 1 2
2 2 0
2 1 0
1 1 2
0 2 0
0 2 1
0 2 2
10 6
0 2 3
1 3 1
3 2 1
0 3 3
3 3 1
1 0 2
1 0 0
3 0 0
2 3 1
2 0 0
10 7
2 0 2
2 1 0
1 2 1
1 0 2
1 2 0
0 0 1
2 0 0
1 1 2
2 2 1
2 2 2
10 4
1 2 1
2 0 2
1 0 2
0 2 0
1 1 1
1 0 1
2 1 2
2 1 0
0 2 1
0 1 1
10 7
0 2 0
1 1 1
0 3 1
1 3 2
0 0 3
1 3 3
0 3 2
3 1 1
0 2 3
3 3 1
10 3
1 2 0
2 0 0
1 2 1
2 1 0
0 1 0
2 2 0
0 1 1
2 1 2
1 1 1
2 0 1
10 4
2 0 2
2 1 0
3 0 0
2 0 0
3 2 0
2 3 3
1 0 2
3 2 3
0 3 3
1 3 2
10 7
0 0 2
3 0 2
0 0 0
0 1 1
0 2 2
1 0 0
3 0 0
1 3 3
3 0 1
1 3 2
10 4
2 1 2
1 0 1
2 0 1
2 1 1
2 0 0
1 2 1
0 0 2
1 2 2
0 2 1
2 2 0
10 2
2 1 3
2 0 0
2 2 0
3 1 2
1 1 1
0 3 1
0 2 2
1 2 2
1 1 2
2 3 1
10 3
2 2 0
2 1 2
0 2 2
2 1 0
2 1 1
1 0 1
0 0 1
1 1 1
2 0 1
2 0 0
10 7
1 1 0
0 0 2
2 0 0
0 1 1
0 2 2
2 1 2
1 2 2
2 2 2
1 0 0
1 1 2
10 3
2 2 0
1 0 1
0 0 0
2 2 2
0 2 1
0 2 0
1 1 1
1 1 2
0 1 2
0 1 1
10 3
1 1 2
0 2 1
0 1 0
1 2 0
0 1 1
1 1 0
2 2 1
0 2 2
0 0 1
0 2 0
10 3
3 1 0
2 0 3
3 2 1
0 1 3
3 3 2
3 2 3
0 0 3
2 3 2
3 0 0
1 0 3
10 8
1 0 2
2 0 1
2 2 1
1 1 2
1 2 2
1 0 1
0 1 1
2 1 0
1 2 0
2 2 0
10 5
2 1 2
1 2 0
1 0 2
0 0 0
2 0 1
0 1 1
1 1 0
2 1 1
2 2 0
0 2 0
10 4
1 2 1
0 2 2
1 1 0
1 1 2
0 0 0
0 2 1
2 1 2
0 0 1
1 1 1
2 1 0
10 3
2 2 2
1 2 2
1 2 0
1 0 0
1 2 1
0 1 1
0 0 1
0 1 0
0 2 1
2 2 1
10 5
1 1 2
0 2 1
1 0 0
2 0 2
0 2 0
0 2 2
1 0 1
0 0 1
2 0 0
0 0 0
10 5
1 1 2
3 0 1
2 1 3
1 1 3
1 2 1
0 1 3
2 2 1
3 2 2
0 3 1
1 3 0
10 4
2 0 1
1 1 2
1 2 1
0 0 0
1 1 0
0 1 1
1 0 0
0 0 1
2 2 2
2 0 2
10 4
2 0 0
2 1 0
0 0 1
0 1 1
0 0 2
2 2 1
1 0 2
1 1 0
0 2 2
0 2 0
10 6
1 0 0
1 1 1
1 2 1
2 2 0
2 2 1
1 2 0
2 0 2
2 1 0
0 0 0
2 1 1
10 3
2 3 2
2 1 3
1 3 1
3 2 3
0 1 1
2 1 0
3 1 1
3 2 0
0 3 0
1 0 1
10 2
1 2 1
1 0 0
2 2 2
1 1 1
1 2 0
2 0 0
0 1 2
1 1 2
0 1 1
0 0 1
10 6
0 3 1
0 0 2
0 0 3
0 2 3
0 1 3
2 1 0
1 3 0
1 3 2
1 2 3
3 3 0
10 3
1 0 1
3 2 1
1 2 2
3 3 1
0 1 3
3 2 2
0 3 0
3 2 3
3 0 3
3 1 2
10 9
3 0 3
0 2 2
0 0 1
0 2 1
0 0 3
3 1 1
2 2 3
0 2 0
1 0 0
1 3 3
10 6
2 2 2
1 0 1
1 2 0
2 1 2
1 2 1
1 2 2
2 0 1
1 0 2
0 0 2
2 0 2
10 5
3 3 3
2 2 1
0 2 3
2 3 2
2 0 0
0 0 3
3 3 0
1 3 1
1 0 2
3 0 3
10 6
3 0 2
0 0 3
2 1 3
2 2 1
0 2 2
0 3 2
0 1 3
2 1 0
1 0 3
3 3 1
10 7
0 1 2
0 0 0
2 0 0
1 2 0
1 2 1
0 2 2
0 1 0
0 1 1
1 1 2
1 0 0
10 4
1 2 1
2 3 1
3 3 2
3 0 2
3 2 1
0 0 3
3 2 3
1 3 2
2 2 0
0 0 1
10 4
2 2 3
0 0 0
0 3 2
0 1 1
0 1 2
2 2 1
3 3 3
2 3 2
3 3 2
3 2 2
10 4
2 0 0
0 0 1
0 2 3
0 3 3
1 0 0
1 2 0
3 3 3
0 0 0
0 3 1
1 1 1
10 5
3 2 2
0 2 2
1 1 3
3 2 1
2 1 2
0 3 2
3 3 1
2 3 3
0 0 0
2 3 0
10 6
3 2 0
1 3 0
2 1 3
0 0 0
0 1 0
0 2 1
3 2 1
3 0 2
0 3 1
1 0 0
10 7
2 1 3
3 0 2
1 0 0
0 0 2
1 1 3
2 0 0
1 2 1
2 2 0
2 2 2
0 1 3
10 5
2 1 1
0 2 3
2 3 0
2 3 3
0 3 0
2 2 2
1 3 2
0 2 2
3 1 0
1 1 2
10 3
2 0 0
2 2 2
2 0 1
0 1 1
0 2 0
2 1 2
0 0 2
0 1 0
1 1 0
1 2 2
10 6
0 0 0
2 0 0
1 2 1
1 1 2
0 1 1
1 0 0
0 2 2
2 1 1
0 0 1
1 0 1
10 5
0 2 3
2 3 1
2 0 3
3 2 0
2 0 2
2 0 1
1 1 0
1 0 1
3 1 0
3 3 3
10 7
1 0 0
1 2 1
0 0 0
2 2 2
1 1 1
2 1 2
0 2 2
0 1 2
2 0 1
0 2 0
10 7
0 1 0
0 1 2
1 0 2
0 1 1
2 0 2
2 1 1
0 0 1
0 2 1
2 2 2
2 2 0
10 8
2 0 1
1 2 2
2 0 2
1 1 2
2 2 0
1 0 1
2 2 1
0 0 0
0 1 2
1 1 0
10 3
0 2 2
0 2 1
1 0 1
2 2 0
0 2 0
1 0 0
0 0 2
0 1 1
2 0 1
1 2 0
10 4
3 0 2
1 2 3
3 1 0
1 1 1
1 2 2
2 1 0
0 0 2
3 3 1
2 2 0
2 0 3
10 5
2 0 0
0 0 1
0 0 0
0 1 0
1 0 2
1 0 1
0 0 2
0 1 2
0 2 1
0 1 1
10 2
1 3 0
0 2 3
1 2 3
2 0 0
3 3 1
3 1 0
3 2 2
2 2 0
0 2 1
1 0 3
10 9
2 1 0
1 3 2
3 3 2
0 2 3
0 1 1
0 1 3
2 1 3
0 1 0
0 3 2
3 0 3
10 7
2 3 0
0 0 2
1 0 3
0 2 2
1 2 0
0 1 0
1 0 0
1 2 1
3 0 2
3 3 3
10 3
0 2 1
1 1 2
2 0 2
1 2 2
1 2 1
2 1 1
0 2 0
0 0 2
0 1 0
1 1 1
10 8
3 1 2
1 3 0
2 1 2
2 2 1
3 3 2
0 0 3
0 3 1
3 1 3
1 2 1
0 2 2
10 2
2 1 2
0 1 2
0 0 0
0 1 1
1 0 2
2 0 1
2 2 0
2 1 1
1 2 2
1 0 1
10 9
0 0 2
1 0 1
3 3 2
1 3 0
0 1 3
0 0 3
2 0 3
0 3 3
0 3 2
1 1 2
10 8
2 2 1
2 2 2
1 2 2
1 0 0
0 1 0
1 2 1
2 2 0
1 1 0
0 0 1
0 2 1
10 2
2 0 2
0 0 2
0 0 0
0 2 0
2 2 0
2 2 1
1 1 2
2 2 2
0 2 2
2 0 1
10 6
2 1 0
1 0 0
2 2 0
0 2 0
0 1 1
1 2 2
2 0 0
0 0 2
0 1 0
1 2 0
10 5
2 0 2
0 1 1
2 2 0
1 1 0
1 0 2
0 1 2
1 0 0
0 2 2
1 2 2
0 2 1
10 5
2 2 1
1 2 2
2 0 0
0 2 1
2 0 2
1 1 1
0 1 2
2 0 1
0 2 0
1 2 1
10 9
2 1 3
0 3 1
1 0 0
0 1 0
1 1 1
1 0 3
2 2 3
2 1 0
3 3 0
3 3 3
10 7
3 0 0
0 0 3
0 0 0
0 1 2
2 2 1
3 0 1
2 3 1
3 3 1
2 1 2
2 3 0
10 2
3 0 0
1 1 2
0 3 3
3 2 3
3 1 1
0 1 3
2 1 3
2 3 0
1 1 3
3 0 1
10 5
1 2 1
3 1 0
1 0 2
2 2 1
3 3 1
0 0 1
2 3 1
1 2 0
1 3 3
0 2 2
10 2
3 1 3
1 3 0
0 3 3
2 1 0
0 0 1
1 1 1
2 2 2
1 2 1
1 1 2
1 2 2
10 3
1 1 0
1 0 0
2 2 0
2 2 2
1 1 1
0 2 2
2 0 1
0 1 2
0 0 2
0 0 1
10 6
1 0 0
1 1 1
2 2 1
2 1 2
0 1 2
2 1 1
2 2 2
1 1 0
0 2 1
1 1 2
10 3
2 3 2
1 0 0
0 1 1
3 1 0
3 3 3
2 2 0
2 2 2
3 1 3
1 1 3
2 1 2
10 9
0 2 1
2 2 0
2 1 0
2 2 1
0 1 1
0 2 2
1 2 2
1 2 1
2 0 1
1 0 1
10 6
1 1 0
2 1 2
1 2 1
1 0 2
1 2 2
2 1 0
0 2 2
1 0 1
2 2 1
0 0 2
10 9
1 1 0
1 2 1
3 1 3
2 1 3
2 1 0
2 3 0
3 3 1
3 2 1
0 0 3
1 2 3
10 6
1 0 1
2 3 3
3 0 2
2 1 0
3 3 3
2 0 3
1 1 2
1 3 2
0 0 2
3 1 2
10 5
2 2 3
3 3 3
3 1 0
3 0 0
3 3 1
2 2 2
3 3 0
0 1 1
1 2 0
2 1 0
10 2
2 1 1
2 2 2
0 1 1
2 1 0
0 0 2
0 1 0
2 0 0
2 1 2
0 0 0
2 2 0
10 3
1 2 0
2 2 1
1 2 2
1 2 1
1 1 2
2 0 1
1 1 1
2 1 1
0 0 0
2 1 0
10 8
0 2 1
1 0 2
2 1 2
1 2 0
2 1 1
1 1 1
1 1 0
0 1 1
2 0 2
1 2 1
10 7
3 1 3
2 1 3
1 0 2
0 2 0
1 0 1
0 3 0
3 0 2
1 3 2
0 0 0
2 3 0
10 6
2 2 2
1 2 2
1 0 2
1 2 0
1 2 1
0 2 2
0 0 0
1 1 0
2 2 1
0 1 2
10 9
1 1 1
1 2 0
0 2 0
2 2 2
1 1 2
1 0 1
2 2 0
1 2 2
1 1 0
1 0 0
10 8
1 0 1
1 0 0
3 0 0
2 0 3
1 2 2
3 2 3
0 1 1
0 1 2
0 2 1
3 3 0
10 5
2 0 0
0 1 1
1 1 1
1 0 2
1 2 1
1 1 0
0 1 2
2 2 2
1 0 1
1 1 2
10 8
0 2 1
2 0 0
2 2 1
0 0 1
0 2 2
1 1 1
1 1 2
0 0 2
2 1 1
2 2 2
10 4
3 2 2
2 1 1
3 3 3
2 2 2
3 1 0
1 3 2
0 3 0
0 1 0
2 1 3
0 2 0
10 5
3 2 2
0 0 2
3 1 2
2 1 2
1 3 3
0 3 1
3 2 3
2 2 2
0 2 0
1 0 2
10 3
1 0 2
1 3 3
3 0 0
3 0 2
2 3 0
3 1 0
3 2 1
0 0 1
1 2 1
2 3 1
10 2
0 0 2
0 2 0
1 0 1
2 0 1
2 1 2
2 2 2
2 1 1
0 2 2
2 0 0
1 1 0
10 4
1 2 3
1 3 1
1 0 3
2 3 0
3 1 3
3 0 0
3 1 1
3 2 3
3 0 1
0 3 1
10 2
2 1 3
3 1 2
2 3 0
0 3 3
0 0 0
0 1 2
0 1 3
1 2 0
3 1 1
2 1 1
10 3
3 1 1
0 3 2
1 3 3
2 3 3
1 3 0
0 0 1
0 3 0
3 2 1
2 1 1
3 2 0
10 8
1 2 2
2 2 1
0 1 0
2 1 2
0 1 2
0 0 2
1 1 1
2 1 1
1 2 1
0 0 0
10 6
1 2 2
0 1 1
2 1 0
1 1 1
1 1 2
2 2 0
0 0 2
0 2 2
1 0 2
2 2 2
10 9
2 1 3
1 1 3
0 1 0
2 3 3
1 0 3
1 1 2
2 0 3
3 2 3
0 0 2
1 2 0
10 5
1 2 2
2 0 0
1 0 2
2 0 2
0 0 2
2 2 0
1 0 1
1 1 2
1 0 0
0 1 0
10 2
2 0 0
3 3 1
3 2 2
0 0 3
0 3 0
3 1 0
3 0 1
3 3 2
1 0 2
0 0 0
10 5
2 2 2
1 0 0
0 2 1
2 0 0
2 1 2
0 1 2
2 2 1
2 1 1
2 0 1
1 0 1
10 8
1 0 1
1 2 2
0 1 2
0 0 2
2 1 1
0 1 1
2 1 0
1 0 2
1 1 2
2 0 0
10 9
2 1 1
0 1 0
1 1 0
2 2 1
0 1 1
2 1 2
2 2 2
1 0 0
1 1 2
1 2 2
10 6
0 2 2
2 1 1
1 0 0
0 0 2
2 0 1
1 2 1
1 1 1
0 1 2
0 1 1
1 2 0
10 7
2 0 0
2 1 2
0 2 0
1 2 2
0 1 2
1 1 0
1 2 0
2 2 2
2 2 1
0 1 0
10 3
0 1 1
2 2 0
0 0 1
0 1 0
2 0 1
2 1 2
0 1 2
2 2 1
2 1 1
1 2 1
10 6
2 1 0
2 0 2
1 0 1
2 1 1
1 0 0
0 0 1
0 1 1
1 2 2
2 1 2
2 2 1
10 5
1 2 0
0 0 2
2 1 0
1 1 2
1 0 2
0 2 2
0 2 0
2 0 2
1 2 1
2 0 1
10 9
1 0 0
1 2 0
2 0 1
1 1 2
0 0 0
2 1 2
0 1 1
1 0 2
1 0 1
1 2 2
10 2
2 2 3
0 0 2
2 2 0
0 0 3
2 2 1
3 3 2
1 0 1
2 1 3
0 2 1
0 3 3
10 4
0 1 0
2 0 2
2 1 2
0 2 0
1 2 2
0 1 2
0 1 1
0 0 1
1 0 2
2 2 1
10 6
1 1 2
0 1 2
2 2 2
0 0 2
2 1 1
0 0 0
1 2 0
0 2 0
2 2 1
2 0 2
10 2
0 2 1
2 0 0
1 0 1
0 0 1
2 1 0
2 1 1
2 0 1
0 0 2
0 1 1
1 2 1
10 5
0 2 2
0 0 2
1 2 2
1 1 0
2 1 0
0 2 1
2 0 1
1 1 2
0 1 2
0 1 1
10 5
0 1 1
2 0 1
0 0 1
2 2 2
2 0 2
0 2 1
1 0 2
0 1 0
0 0 0
0 2 0
10 4
2 0 2
1 1 1
2 2 0
2 1 1
2 1 0
0 0 0
1 0 2
0 1 2
1 1 0
1 2 0
10 3
2 2 0
2 0 0
1 1 2
0 1 0
2 1 1
0 1 1
0 1 2
1 0 0
1 1 1
0 0 0
10 8
1 1 0
2 3 0
2 1 0
0 1 3
2 0 0
0 3 0
2 2 3
2 0 1
0 0 1
1 2 2
10 9
1 1 0
1 0 0
3 3 0
3 3 1
0 2 2
1 2 1
1 0 2
3 3 2
2 3 1
2 0 1
10 8
0 2 3
3 1 1
3 0 2
1 1 1
2 2 3
3 3 0
2 1 3
0 1 2
1 2 0
0 2 2
10 6
1 3 3
3 2 2
3 3 3
3 1 0
1 2 3
0 3 2
3 1 3
0 1 0
1 2 0
2 1 0
10 3
1 2 2
2 1 2
2 1 0
1 2 1
0 0 2
2 0 0
1 0 1
0 2 0
2 0 1
2 2 0
10 3
3 0 0
2 0 0
1 1 3
3 0 1
3 1 1
3 3 1
2 1 1
1 0 0
3 1 3
0 0 3
10 8
3 1 0
3 0 1
2 3 2
1 1 1
3 0 2
0 1 0
2 2 3
0 2 2
0 1 1
3 1 1
10 8
1 1 1
0 1 1
0 1 0
0 0 2
0 2 1
2 0 0
2 1 2
1 2 2
2 1 1
1 2 1
10 6
2 0 0
0 2 0
1 2 2
2 1 2
2 1 1
1 1 1
0 0 0
0 0 2
1 0 0
1 1 2
10 9
2 0 2
0 3 3
1 0 2
1 2 0
0 3 2
3 3 2
2 2 0
3 3 3
0 1 1
1 0 1
10 6
2 0 2
0 0 1
1 2 0
0 1 2
1 2 1
2 2 0
2 0 1
0 2 1
1 0 2
1 0 0
10 3
0 1 2
0 0 1
1 2 2
1 1 1
2 1 2
1 1 2
0 1 1
0 1 0
1 0 0
0 0 0
10 4
1 2 3
1 0 1
3 1 1
2 1 3
1 1 3
2 2 2
3 0 3
3 2 2
0 0 2
2 2 3
10 3
0 1 1
1 2 1
2 1 1
0 0 1
1 0 0
2 2 0
0 2 0
2 1 2
0 1 0
1 2 2
10 6
1 2 0
2 2 1
2 0 0
0 1 0
0 0 1
2 0 1
0 2 2
2 1 1
0 0 0
1 1 1
10 5
0 1 0
0 0 1
2 2 1
1 0 0
1 1 1
0 0 2
0 2 0
2 1 0
2 0 0
0 0 0
10 6
1 1 0
1 0 2
0 2 1
1 0 1
1 2 0
2 2 2
1 1 1
0 2 0
0 1 1
0 2 2
10 8
2 3 3
3 2 0
0 1 1
3 0 1
1 2 3
1 2 2
3 1 3
1 1 2
3 1 0
0 2 2
10 3
0 2 0
1 1 2
2 1 0
1 1 3
2 2 3
0 1 3
1 3 1
3 0 0
1 3 0
2 3 2
10 5
0 2 0
0 0 0
0 1 0
1 2 2
2 1 1
0 1 2
2 0 1
0 2 1
2 0 0
1 0 2
10 3
2 2 0
0 2 0
1 0 2
2 0 2
2 2 1
1 0 0
0 0 2
0 2 1
0 1 2
2 1 2
10 8
1 3 1
3 1 2
2 2 3
2 1 2
0 3 1
0 3 0
2 0 1
2 2 1
2 0 2
0 2 2
10 5
0 3 2
1 2 0
0 2 3
1 2 1
1 0 3
0 0 2
3 2 2
3 3 2
3 2 1
0 3 1
10 6
1 1 1
2 0 1
1 2 1
0 0 2
2 1 1
2 1 0
0 2 0
2 2 1
1 0 2
0 1 0
10 3
2 3 0
2 1 3
0 1 1
3 2 1
1 3 2
1 2 0
2 1 1
0 2 0
3 3 3
2 2 3
10 5
0 1 2
2 1 2
0 1 0
0 2 1
0 1 1
1 0 2
1 0 0
1 0 1
0 0 1
2 0 2
10 8
0 1 0
1 0 1
2 0 2
1 2 0
0 0 2
2 1 1
1 1 2
2 0 1
0 2 2
2 0 0
10 5
2 2 1
3 3 0
3 2 2
3 3 3
1 3 3
1 0 3
1 0 2
1 3 0
2 2 3
3 2 0
10 4
1 0 2
1 1 1
0 1 3
3 2 1
2 3 2
3 3 3
0 0 0
2 3 1
0 3 0
3 1 2
10 2
2 3 2
2 0 1
0 1 0
1 3 0
3 3 2
3 3 1
1 0 1
3 2 0
1 2 2
2 3 1
10 5
2 3 0
0 2 2
1 3 2
2 3 3
3 0 2
1 0 2
3 0 3
3 3 2
0 3 1
3 1 0
10 2
2 0 3
3 1 2
2 3 2
2 1 2
2 0 1
1 1 1
3 1 1
3 0 0
0 3 0
3 3 1
10 5
0 0 1
2 0 2
2 2 0
1 0 0
0 0 0
2 2 2
1 2 2
1 0 1
2 1 1
1 0 2
10 9
1 1 1
0 2 0
1 1 2
0 2 1
2 0 2
2 1 0
0 2 2
2 1 1
1 2 1
1 0 1
10 7
2 0 2
2 2 2
1 1 2
0 0 1
1 2 2
2 0 0
1 2 1
0 2 2
0 2 1
2 1 0
10 3
2 0 2
0 0 1
1 0 1
2 1 2
1 1 0
0 1 2
1 2 2
0 1 1
2 0 1
1 0 0
10 7
0 1 2
0 2 3
1 3 0
3 1 3
3 0 1
0 2 1
0 0 1
1 1 0
0 1 0
3 2 3
10 3
0 3 3
1 3 3
0 2 1
2 2 3
3 3 3
3 0 1
0 0 2
0 0 0
2 2 2
1 2 1
10 8
2 0 1
2 0 2
3 1 2
2 3 1
3 2 1
1 2 2
3 0 2
0 1 1
0 2 3
3 0 1
10 6
2 2 0
0 2 0
1 2 1
2 0 1
1 0 2
2 2 2
0 0 2
1 1 2
1 2 2
0 0 0
10 4
0 0 0
0 2 2
0 0 2
1 2 1
1 2 2
1 1 2
0 0 1
2 1 1
2 0 1
2 1 2
10 7
1 0 2
0 1 0
3 1 1
1 1 0
0 0 0
0 2 2
1 3 3
2 2 2
2 3 3
3 2 3
10 5
0 0 1
2 0 2
2 2 3
3 0 3
1 2 0
1 3 0
3 2 3
3 2 1
3 1 0
3 3 2
10 2
1 1 1
2 0 2
2 1 1
1 0 0
1 0 1
1 1 0
0 0 2
2 2 0
1 2 0
1 1 2
10 5
1 2 1
1 0 2
0 0 1
2 2 0
1 1 2
0 1 0
1 1 0
2 0 2
0 1 1
2 1 1
10 3
0 3 1
1 0 3
0 0 0
0 3 0
0 3 3
3 1 1
1 1 3
0 2 1
3 2 1
1 3 1
10 6
3 1 2
2 3 2
3 3 0
2 1 2
0 3 0
2 2 0
0 0 1
1 2 3
0 0 2
0 2 2
10 9
3 3 2
2 1 1
2 2 0
3 0 2
3 2 2
2 2 2
2 0 0
0 3 1
3 3 1
1 3 3
10 3
0 1 0
0 0 2
1 0 1
2 0 0
2 0 2
1 2 1
0 0 1
2 2 0
2 1 2
2 0 1
10 2
1 1 0
1 2 2
0 0 2
2 1 0
2 0 1
2 1 2
0 0 0
0 2 2
1 0 0
0 2 0
10 7
2 0 0
3 2 3
1 3 2
0 2 3
2 1 2
3 3 3
1 3 3
0 1 1
2 0 2
0 0 1
10 2
2 1 2
0 2 1
0 2 0
1 0 0
1 2 2
0 1 2
1 1 0
2 2 2
0 0 1
0 0 2
10 7
3 1 3
3 1 2
0 1 3
3 1 0
2 2 1
1 2 2
1 2 1
0 2 3
1 0 3
0 3 3
10 6
0 0 1
1 0 0
2 2 2
1 1 1
0 2 2
0 1 2
2 0 2
0 2 1
2 0 1
1 2 0
10 9
1 1 2
0 2 1
1 1 0
1 0 0
2 2 2
0 2 2
0 1 2
1 1 1
2 1 0
1 2 0
10 2
2 2 0
2 1 1
3 3 2
0 2 3
3 1 1
0 3 2
0 2 2
3 2 1
2 1 0
2 2 1
10 8
0 2 0
2 0 2
1 0 1
3 0 1
2 2 2
2 2 3
2 1 1
1 3 2
1 3 3
3 2 1
10 4
2 2 0
0 0 1
1 0 0
2 2 1
1 2 0
0 2 2
0 1 2
1 1 1
1 2 2
2 0 2
10 9
2 0 0
2 0 1
0 0 1
2 1 1
1 2 2
2 2 2
2 1 2
0 0 0
1 1 2
2 0 2
10 9
0 1 2
2 1 3
3 2 2
1 2 3
3 3 3
2 2 3
1 2 1
3 3 1
0 3 0
3 0 0
10 9
1 1 2
0 0 2
0 1 0
0 2 0
1 0 2
0 0 0
2 0 1
2 0 2
2 2 2
2 1 2
10 8
1 0 0
0 1 0
2 0 0
0 2 1
0 0 0
2 2 1
0 0 1
2 1 1
2 0 2
0 2 2
10 4
2 1 0
1 0 2
0 1 0
0 2 0
0 1 1
0 2 2
0 2 1
1 2 0
1 2 1
2 0 2
10 6
3 0 3
1 2 0
0 3 0
0 2 2
3 0 2
3 0 1
2 2 3
1 3 2
1 2 1
2 3 2
10 2
2 2 3
0 0 3
0 2 3
2 0 3
2 3 0
2 2 0
0 2 1
3 1 3
2 0 2
0 0 0
10 9
1 2 2
0 1 1
2 1 0
0 2 1
1 0 1
2 0 2
2 0 0
0 0 1
0 0 2
0 1 0
10 3
0 2 1
1 2 2
0 1 2
0 2 2
1 1 2
1 0 0
0 0 2
2 2 0
1 0 2
1 0 1
10 2
0 3 2
3 3 3
1 0 1
1 1 3
1 2 1
0 1 2
2 1 3
1 0 3
3 2 0
1 2 2
10 4
3 1 1
1 1 2
0 1 0
2 1 3
2 1 2
1 3 2
2 2 0
1 0 0
3 3 0
3 3 3
10 9
2 1 0
0 1 1
2 1 1
2 0 2
0 0 2
1 1 0
0 1 2
2 1 2
1 2 2
0 2 2
10 2
1 0 2
3 1 2
2 0 2
0 3 2
0 2 1
1 1 2
0 0 3
3 2 0
2 1 1
1 3 1
10 5
2 0 0
1 2 0
2 3 2
2 1 3
2 3 1
1 1 1
3 1 0
1 3 1
3 3 3
3 3 1
10 2
1 3 1
2 0 1
0 3 3
3 1 0
1 3 0
2 0 2
2 3 2
2 1 3
1 2 2
1 2 1
10 9
2 0 0
0 2 1
2 1 1
1 0 2
0 0 1
0 2 2
0 0 2
1 2 2
2 0 2
1 0 1
10 3
1 2 1
0 1 2
0 0 2
1 0 1
0 2 1
0 0 1
1 0 2
2 0 2
0 1 1
1 1 0
10 4
3 0 3
0 3 0
0 1 1
2 2 0
0 2 3
1 2 1
3 0 2
0 1 2
0 1 0
1 2 3
10 6
1 0 2
2 2 0
0 0 0
0 2 2
1 1 2
0 1 0
2 1 1
0 1 1
0 2 0
2 1 0
10 5
1 1 2
0 2 2
2 1 1
1 0 2
0 1 1
2 2 2
2 1 2
1 2 1
0 0 0
1 0 0
10 4
2 1 1
2 1 0
2 2 1
1 2 1
0 2 1
2 0 2
1 0 0
0 1 2
1 1 0
0 2 0
10 3
0 3 0
3 2 0
0 2 1
1 3 3
2 0 0
1 3 2
1 1 3
3 2 2
1 0 3
0 3 2
10 5
2 1 2
2 1 0
1 2 1
0 0 1
2 2 1
0 1 2
1 0 2
1 1 2
0 0 2
2 0 2
10 7
1 0 2
2 2 1
0 2 2
1 2 2
1 0 0
0 0 0
2 0 2
2 1 2
1 1 1
1 1 0
10 7
0 3 0
0 3 2
3 1 1
1 1 1
1 0 3
3 3 2
2 1 0
2 2 0
0 0 1
0 0 0
10 3
2 0 2
2 0 1
1 1 0
1 0 0
0 2 2
1 2 1
1 1 2
0 2 1
1 2 0
0 0 2
10 4
3 3 3
3 2 1
2 2 3
1 1 1
1 0 0
3 1 3
2 1 3
0 1 1
2 1 0
0 2 1
10 3
1 2 2
1 0 1
1 1 2
2 0 2
0 2 1
0 1 2
0 2 0
2 2 0
2 1 1
2 1 0
10 3
1 1 0
2 1 1
0 0 1
0 2 0
1 2 1
1 0 2
1 0 0
2 1 0
1 2 2
2 0 1
10 3
0 0 2
1 0 1
1 2 1
2 1 0
2 1 2
0 2 0
2 2 2
1 0 0
0 0 1
1 1 2
10 7
0 2 0
1 0 1
1 0 0
2 0 1
1 1 1
0 2 1
1 2 1
2 0 0
2 2 0
0 2 2
10 3
0 3 0
2 0 0
3 0 3
0 1 3
1 2 1
0 3 1
0 3 3
2 2 2
0 2 0
3 2 2
10 5
0 3 2
1 1 2
1 1 0
3 1 2
1 1 3
2 0 2
2 1 0
0 0 3
3 3 1
1 0 3
10 9
0 0 2
1 2 0
0 0 1
2 0 2
2 1 2
0 2 1
2 2 1
1 0 0
1 1 1
2 2 0
10 9
2 3 1
1 0 3
2 1 0
3 1 2
3 1 1
3 3 1
0 3 0
3 0 3
1 0 1
2 2 1
10 3
0 0 0
1 1 2
0 2 2
1 1 1
0 1 0
1 2 0
0 1 2
0 0 1
2 0 1
1 2 2
10 2
1 0 1
0 1 0
2 0 0
1 0 2
2 2 2
1 1 1
0 0 2
0 1 1
2 0 1
0 0 1
10 8
0 0 1
1 1 1
0 1 2
0 0 0
2 0 2
1 2 2
0 1 1
1 0 2
1 0 1
2 0 0
10 6
0 1 2
2 1 1
2 1 2
2 0 2
0 1 1
1 1 1
2 2 0
1 2 2
1 1 2
1 2 0
10 3
2 0 2
0 2 1
1 0 2
1 2 2
0 1 0
0 2 0
2 2 2
1 1 2
2 1 2
0 1 1
10 3
3 0 3
3 0 2
2 2 3
3 0 1
1 1 3
1 2 0
0 2 3
0 0 3
0 1 2
1 1 1
10 6
2 1 1
3 2 3
1 3 0
1 3 1
3 0 1
3 3 1
2 1 0
3 3 2
1 3 3
0 3 2
10 8
3 1 3
3 0 0
0 2 3
3 2 0
1 0 1
2 3 2
1 0 3
2 0 2
0 0 0
3 2 1
10 9
1 2 0
2 2 2
2 1 0
2 0 2
0 2 1
1 1 2
0 1 2
2 0 1
1 0 2
1 0 0
10 2
2 2 0
0 0 2
0 1 0
1 1 0
1 1 1
1 2 0
2 2 2
0 0 0
0 2 0
1 0 2
10 3
1 1 0
2 1 0
1 2 2
0 0 1
1 0 2
2 2 0
2 2 2
0 2 1
0 1 1
1 2 0
10 7
2 2 1
0 0 1
2 1 0
0 1 0
1 1 1
0 1 1
0 0 0
0 2 2
1 0 1
1 2 1
10 4
1 2 0
2 2 0
2 2 1
2 0 1
1 1 2
0 2 1
2 0 2
0 1 1
0 2 0
1 0 1
10 9
0 0 3
0 1 0
3 3 2
0 3 1
1 1 0
3 2 1
1 0 2
0 0 2
3 3 1
0 1 1
10 8
1 1 0
0 0 2
2 1 1
1 0 2
1 0 0
0 1 0
0 1 1
0 0 1
2 2 1
2 1 0
10 3
2 2 2
2 1 0
2 0 1
2 0 0
0 2 2
0 1 0
1 0 1
0 0 2
1 2 2
2 0 2
10 7
1 0 1
2 2 0
2 2 2
0 2 2
2 1 1
2 0 1
1 0 0
2 1 2
1 0 2
0 2 0
10 2
2 0 2
0 3 2
0 2 3
0 2 1
0 1 2
2 1 3
1 3 1
2 0 0
1 3 0
3 2 3
10 5
0 3 1
0 1 2
0 2 0
2 1 1
0 3 0
3 3 0
0 0 2
1 2 0
0 0 3
1 3 0
10 2
0 2 0
0 2 2
1 2 2
2 0 0
0 0 1
0 0 2
0 0 0
2 2 0
0 1 0
2 0 2
10 6
0 2 1
1 1 1
0 1 0
2 1 1
2 0 2
0 2 2
1 2 0
0 1 1
1 0 1
0 0 0
10 9
0 2 2
0 0 2
2 0 0
2 0 1
1 0 1
0 1 2
0 0 0
0 2 0
0 2 1
2 2 0
10 6
2 1 2
0 0 2
2 1 1
1 0 2
1 0 0
2 2 2
1 2 1
2 1 0
2 2 0
1 1 0
10 8
0 0 0
0 2 2
0 2 1
2 3 3
0 1 2
1 3 0
3 3 0
3 3 1
2 2 2
1 0 3
10 2
2 3 0
1 3 1
3 1 1
3 1 0
1 1 3
3 3 0
0 3 1
3 3 1
2 3 1
3 0 0
10 7
1 3 2
2 0 1
2 2 1
0 0 3
0 1 3
2 0 3
3 2 1
3 0 0
1 2 0
3 2 0
10 8
1 2 0
3 2 3
2 1 3
2 0 1
0 2 2
3 2 0
0 0 2
3 3 1
2 1 2
0 3 1
10 5
3 3 1
2 3 3
1 2 1
0 2 0
0 1 1
1 3 2
2 3 0
3 0 1
2 0 0
3 0 2
10 5
1 0 2
1 1 0
0 2 0
1 1 1
2 1 0
2 0 0
1 0 0
2 2 2
2 2 1
2 2 0
10 7
0 0 2
0 1 2
1 1 0
2 0 0
2 0 1
2 1 0
1 0 0
1 1 2
1 0 2
0 1 0
10 6
1 3 1
3 0 2
3 2 3
2 3 0
0 0 2
1 2 0
0 3 3
2 3 2
3 3 3
0 0 0
10 3
1 0 1
2 0 1
0 0 1
0 0 0
1 1 1
2 1 2
0 0 2
1 0 2
2 2 0
0 2 0
10 8
1 1 0
1 1 1
0 2 2
1 0 0
0 2 1
2 1 2
1 0 1
2 1 0
2 0 2
2 0 1
10 7
1 1 0
1 3 0
2 1 1
3 1 1
2 2 2
3 2 2
1 2 1
1 3 2
3 0 0
3 3 1
10 5
0 0 1
1 2 0
2 2 1
2 0 2
0 1 0
1 1 0
0 1 2
0 0 0
1 2 1
1 0 1
10 9
0 0 0
0 0 1
1 2 0
2 1 2
2 0 0
1 2 2
2 2 2
0 1 0
1 2 1
0 1 1
10 7
1 1 2
2 2 0
1 0 2
0 3 1
3 3 3
1 3 0
3 1 0
3 0 1
0 0 0
3 0 0
10 9
2 0 0
2 1 1
2 2 2
2 2 1
2 0 1
1 2 2
0 2 1
0 0 0
2 0 2
0 1 0
10 7
1 2 1
0 3 3
2 3 2
3 0 3
1 3 0
0 2 2
1 2 0
0 3 0
1 3 3
2 3 1
10 7
2 0 1
1 2 1
3 0 3
1 3 3
3 1 2
3 2 1
2 3 0
3 1 0
1 1 3
2 0 0
10 4
1 3 0
3 0 3
1 2 3
2 2 3
1 1 2
1 1 1
1 2 1
3 2 3
0 0 1
2 0 2
10 6
3 2 3
0 3 3
0 2 3
3 0 3
2 3 3
1 0 2
1 1 2
2 3 1
3 2 0
0 3 2
10 9
1 1 2
0 1 0
1 2 0
1 0 1
1 1 1
0 0 2
1 1 0
1 2 2
2 0 2
0 0 0
10 2
2 2 1
1 0 1
0 0 0
1 1 1
0 2 1
2 0 1
2 0 0
0 2 2
1 0 0
2 2 0
10 8
1 2 2
2 0 0
1 0 0
0 3 0
3 1 3
2 3 2
0 0 2
2 3 1
1 0 1
1 2 1
10 2
1 1 0
2 2 0
2 2 1
0 3 0
0 2 3
0 1 1
3 2 2
0 2 0
2 3 0
2 0 2
10 9
1 0 0
0 2 0
1 2 2
0 1 0
1 1 0
2 0 2
2 1 1
0 1 1
1 2 1
1 0 2
10 4
0 2 2
0 0 1
2 1 1
1 1 2
1 0 2
1 1 0
0 2 1
2 2 1
2 0 0
2 1 0
10 9
0 0 0
3 2 2
2 2 0
0 3 3
2 3 1
1 0 3
3 1 3
2 1 3
1 0 2
2 0 1
10 2
2 3 0
3 2 3
3 3 0
1 0 0
3 3 3
0 0 1
3 2 1
3 1 1
2 1 1
3 2 2
10 4
1 0 0
2 1 2
0 2 0
2 2 0
2 0 2
0 0 1
2 0 1
0 1 0
2 2 1
1 0 2
10 2
2 0 0
3 2 2
3 3 3
0 0 3
2 1 3
1 2 0
2 0 2
1 3 1
0 3 1
0 1 1
10 7
1 1 2
3 0 1
0 2 3
0 0 0
1 1 1
1 1 0
1 3 0
2 3 0
3 3 0
1 3 3
10 9
2 2 2
0 1 0
1 2 0
1 2 1
0 1 2
2 1 1
1 0 2
2 0 1
1 1 2
1 1 1
10 6
2 1 2
1 0 0
2 2 2
0 0 0
1 2 2
0 1 0
1 1 1
1 0 2
2 1 0
1 0 1
10 4
3 3 1
2 2 3
0 1 1
3 3 0
1 1 2
2 1 0
1 1 1
3 0 2
1 0 3
0 3 2
10 8
3 0 2
3 1 2
3 3 0
2 0 0
0 2 3
0 2 0
0 0 1
2 3 3
3 0 1
2 3 0
10 4
0 1 1
2 2 1
1 2 1
0 0 2
2 1 0
0 2 0
1 0 1
2 1 2
1 1 1
0 2 1
10 8
0 1 1
1 2 1
2 2 0
2 1 1
2 0 1
1 1 0
0 2 0
0 2 2
2 1 2
0 1 0
10 9
1 2 2
0 1 1
0 0 2
2 1 2
2 0 0
0 1 2
2 2 2
2 0 1
0 2 2
0 2 0
10 8
0 1 0
0 1 2
0 2 2
2 0 0
1 0 2
2 1 1
1 1 1
0 1 1
2 0 2
2 2 0
10 8
2 3 2
1 3 0
1 2 1
0 0 0
3 3 3
2 3 3
2 2 0
3 2 1
3 0 1
1 2 2
10 6
1 0 2
1 1 3
2 0 0
0 0 1
3 3 2
2 3 1
2 0 2
1 3 0
3 2 0
3 2 1
10 8
2 3 2
2 2 1
1 3 2
3 3 0
3 1 1
3 2 1
3 2 0
2 3 3
2 0 1
2 0 0
10 9
0 1 0
2 2 2
1 1 0
2 2 0
1 1 2
1 0 1
2 0 0
0 2 2
0 0 1
1 1 1
10 7
2 1 0
2 2 2
1 2 0
2 1 1
2 2 1
1 1 2
0 0 2
1 1 0
2 1 2
1 0 1
10 5
0 1 3
0 2 2
2 0 2
1 2 1
3 2 2
3 0 3
3 1 3
3 2 0
1 0 2
1 3 0
10 2
0 2 1
2 2 3
2 0 0
1 1 2
3 0 0
2 0 1
1 2 3
1 1 3
1 0 2
1 1 1
10 6
1 0 0
1 2 0
1 0 1
0 0 0
2 0 2
1 1 0
0 0 1
2 2 2
2 0 1
2 0 0
10 7
1 2 0
0 1 2
1 0 0
1 0 1
1 1 2
2 2 1
2 1 2
1 0 2
2 2 2
0 1 0
10 9
2 2 2
1 0 1
2 1 1
2 0 0
0 0 2
1 1 0
2 1 0
0 0 1
1 1 2
0 1 0
10 7
1 2 3
0 2 2
3 3 1
1 3 0
3 1 2
0 0 3
1 2 0
0 3 1
0 0 1
1 0 2
10 3
2 3 0
1 3 1
0 3 3
2 2 0
0 0 0
2 0 3
1 0 0
2 2 1
1 3 3
2 2 2
10 3
0 0 0
1 0 3
3 0 0
2 3 2
0 1 1
1 1 3
2 2 0
0 2 0
3 1 1
0 1 0
10 2
0 0 2
1 1 1
1 2 1
0 1 1
2 2 0
2 2 2
1 0 1
0 2 2
0 0 0
1 1 0
10 8
2 2 2
1 0 1
0 0 0
1 2 1
0 1 0
1 0 0
1 1 1
1 1 0
2 0 1
2 0 2
10 8
0 0 2
2 2 2
1 2 1
0 1 0
2 2 1
2 0 0
0 1 2
1 2 2
2 1 1
1 2 0
10 9
0 1 3
2 2 1
1 1 3
2 3 1
0 0 0
1 3 2
0 2 2
2 1 1
2 0 0
2 1 3
10 4
0 1 1
1 0 0
1 0 2
1 2 1
1 2 0
2 1 2
2 1 0
2 0 1
0 2 1
0 0 1
10 4
2 2 0
0 1 0
1 1 1
1 3 0
2 1 2
3 0 1
1 2 2
1 3 3
1 3 2
2 3 1
10 5
1 1 0
3 0 0
1 0 3
1 2 1
3 1 1
3 1 2
1 0 1
2 0 2
2 1 3
2 1 2
10 4
0 2 1
1 1 0
1 0 1
0 2 2
2 0 1
2 1 1
0 1 1
1 0 0
1 0 2
1 2 0
10 3
1 1 3
2 2 0
3 2 2
3 3 1
1 1 1
0 0 1
2 2 3
2 3 0
2 0 2
0 0 0
10 9
1 1 1
0 1 0
2 1 1
0 2 2
1 2 2
0 1 1
2 1 0
1 0 1
0 0 0
2 2 0
10 4
0 2 2
1 2 0
0 0 1
1 2 1
0 0 0
2 0 1
2 2 2
2 1 1
0 1 1
0 2 1
10 9
0 0 1
1 0 0
0 1 2
0 0 0
2 1 1
2 0 1
1 2 1
1 0 1
2 1 0
2 2 2
10 6
2 1 0
1 1 0
2 0 2
0 2 0
1 2 2
0 0 0
0 0 2
1 0 0
1 0 2
0 1 2
10 4
2 1 1
0 1 1
2 1 2
1 2 2
1 0 1
2 0 0
0 2 0
1 1 2
2 0 2
0 0 2
10 3
2 2 0
2 2 2
2 0 1
0 0 0
2 1 2
1 1 0
2 0 2
2 1 1
0 0 1
1 1 1
10 4
2 0 2
2 2 0
3 0 2
0 2 3
1 3 0
2 0 1
1 2 2
0 1 0
2 1 2
0 0 2
10 7
1 2 1
0 1 1
2 2 2
0 1 2
0 1 0
0 0 0
1 1 2
2 2 1
1 2 0
1 2 2
10 8
3 2 3
0 0 2
0 0 1
0 0 0
3 0 2
2 2 3
0 3 3
3 0 3
3 2 0
3 3 3
10 7
1 0 0
3 2 0
0 3 3
3 0 2
1 3 1
2 2 2
2 1 2
0 3 1
2 2 1
2 0 1
10 9
3 2 2
1 3 3
2 2 1
0 1 2
3 3 2
3 2 0
3 0 2
2 2 3
2 0 2
2 3 0
10 6
3 3 3
2 0 2
0 0 3
2 2 1
3 3 1
2 3 1
2 1 0
2 3 3
3 1 2
1 3 0
10 6
0 1 1
3 1 1
3 2 2
2 2 2
0 0 3
3 3 2
1 2 0
3 0 1
2 3 2
0 3 1
10 4
3 0 0
2 0 1
1 3 3
2 1 3
1 3 2
0 3 3
1 2 3
2 3 2
2 2 0
1 1 2
10 2
1 2 1
3 1 3
0 3 1
3 2 1
2 3 3
1 3 3
2 3 1
2 2 2
1 0 0
3 0 3
10 4
1 1 3
1 0 1
3 2 3
3 3 2
0 0 1
1 1 2
3 3 0
0 1 2
3 0 2
0 2 1
10 4
3 3 1
3 2 2
1 0 3
2 1 2
0 0 3
2 3 1
2 2 2
1 0 0
2 2 3
1 0 1
10 4
0 0 2
0 2 1
2 1 1
0 1 1
1 0 1
0 2 2
2 2 1
1 2 0
0 0 0
1 2 1
10 9
1 1 0
1 1 1
0 1 0
2 1 0
2 2 2
0 0 2
2 0 2
1 2 0
1 2 2
0 1 1
10 9
0 2 2
2 1 1
1 2 1
1 2 0
1 0 2
2 1 2
0 2 1
2 2 2
0 2 0
0 0 0
10 8
0 0 1
1 2 2
0 2 0
1 2 1
2 2 0
0 2 1
2 1 2
2 2 1
1 1 2
1 2 0
10 3
0 0 0
0 1 2
2 0 1
1 1 1
1 2 1
2 0 0
0 0 2
1 1 0
0 2 2
0 0 1
10 8
3 3 3
2 1 0
3 2 0
2 3 3
2 0 1
3 3 1
1 1 2
3 0 0
1 1 0
1 2 1
10 6
0 0 1
1 0 1
1 0 0
1 1 1
1 2 2
1 1 0
2 2 0
2 1 0
2 0 2
1 2 1
10 5
2 0 1
1 0 1
2 0 3
1 3 2
1 2 0
2 1 2
1 2 1
2 3 3
3 1 0
0 1 0
10 8
2 0 1
1 0 0
0 0 2
0 1 3
1 1 1
2 3 2
1 2 3
0 0 3
0 1 1
2 2 2
10 8
0 2 1
2 2 1
0 2 0
0 1 0
2 0 2
0 0 1
0 1 2
0 1 1
2 1 2
0 0 0
10 3
1 2 0
2 2 1
1 1 2
0 0 2
1 0 0
2 1 2
2 2 2
1 2 1
1 1 0
2 1 0
10 6
2 0 1
0 2 0
2 0 2
1 1 0
0 1 1
1 1 2
1 2 1
2 1 0
1 1 1
2 2 2
10 3
0 1 0
0 2 3
1 3 2
0 3 2
1 1 0
3 3 1
2 1 0
2 1 3
3 1 3
0 0 2
10 9
2 1 1
2 2 0
2 0 2
2 0 1
2 2 2
1 1 2
1 0 1
0 2 2
0 1 2
0 0 2
10 3
0 1 1
2 0 0
2 0 2
1 1 1
2 1 1
2 2 2
1 2 2
0 2 2
1 0 1
2 2 0
10 5
2 0 0
2 0 1
1 2 1
2 1 2
2 1 1
0 0 1
0 1 2
0 0 0
0 2 1
1 2 2
10 8
2 3 3
3 0 3
1 1 1
2 0 1
0 1 2
2 3 0
2 0 0
1 2 0
1 0 3
1 0 0
10 8
0 1 2
0 0 1
2 1 2
1 2 1
0 2 2
1 2 0
0 1 1
1 0 1
0 2 1
2 1 0
10 5
3 1 3
0 2 2
0 1 1
3 3 0
0 1 2
2 2 2
3 1 1
2 3 1
3 2 3
1 3 3
10 7
1 0 0
0 0 1
1 2 2
0 1 1
0 2 0
1 1 2
2 1 0
1 2 1
2 0 0
2 0 2
10 3
1 2 1
3 2 0
0 3 0
1 3 1
3 3 1
3 1 1
0 3 2
1 0 3
2 3 2
2 3 3
10 4
2 1 1
2 2 1
1 1 0
2 0 0
0 1 2
1 2 2
1 2 1
1 0 2
2 0 1
1 2 0
10 8
2 2 2
0 3 0
0 2 3
1 0 2
3 3 2
0 0 3
2 3 3
3 2 0
2 0 3
0 1 3
10 5
1 2 0
3 3 1
2 0 2
2 3 3
1 0 1
2 0 0
1 0 0
2 2 2
1 3 0
3 1 2
10 3
3 3 0
2 0 3
0 2 1
1 1 1
3 2 0
1 1 2
0 0 0
2 2 0
3 0 1
2 1 2
10 2
3 3 1
2 3 3
3 1 0
3 3 2
1 2 0
1 2 3
2 1 2
3 0 2
2 3 2
2 3 1
10 3
3 3 2
1 2 0
0 0 2
0 1 1
1 2 2
0 2 0
1 1 1
3 3 0
3 1 0
2 1 2
10 7
2 0 2
2 0 1
3 1 0
1 3 1
3 3 2
0 1 3
0 2 3
3 1 1
3 0 0
0 0 1
10 3
0 1 0
3 1 1
2 3 0
1 1 0
0 2 0
1 0 0
1 2 1
1 0 3
1 1 3
1 2 3
10 2
1 1 0
0 0 0
0 2 0
1 3 3
1 1 1
1 2 2
2 2 2
0 1 0
2 1 2
0 1 2
10 6
2 0 0
1 1 1
1 1 0
0 2 1
1 2 1
2 2 1
1 0 1
0 0 0
0 0 2
2 0 2
10 2
0 0 1
0 2 2
1 1 1
0 1 0
2 1 2
1 2 1
1 0 2
1 2 2
2 2 0
1 2 0
10 7
2 0 0
0 1 2
1 2 0
1 2 2
1 0 1
2 1 2
2 2 0
0 2 2
1 2 1
0 1 0
10 3
0 2 1
2 0 0
0 1 0
1 1 0
1 2 0
2 1 0
2 2 2
2 1 1
0 1 1
0 1 2
10 3
2 0 1
2 0 2
1 0 0
2 0 0
0 0 0
1 2 1
1 2 2
0 0 1
2 1 2
1 1 1
10 9
1 0 1
0 2 1
2 1 0
0 2 0
0 0 0
0 1 1
2 0 0
1 1 1
1 2 1
2 1 1
10 7
2 2 1
2 0 2
1 1 0
0 0 1
1 1 1
1 1 2
2 0 1
0 0 0
1 0 0
0 1 2
10 8
2 1 2
3 3 3
3 3 2
2 1 0
1 1 3
0 3 1
2 0 0
1 3 2
0 3 0
2 2 2
10 3
2 3 1
0 0 2
2 0 1
2 1 3
0 3 3
2 2 2
3 2 3
1 2 3
1 0 3
0 1 0
10 7
3 3 2
3 1 3
3 1 1
2 3 2
3 3 1
3 2 1
0 2 3
2 1 3
2 3 0
2 1 2
10 7
2 2 2
2 0 0
1 2 0
2 2 0
1 2 1
1 2 2
2 1 0
0 2 1
2 1 2
1 1 0
10 9
3 0 0
1 2 2
0 1 3
2 0 3
0 1 2
0 2 3
1 3 1
2 2 1
1 1 3
3 2 1
10 8
1 0 0
2 1 1
1 2 0
2 2 1
0 0 2
0 1 0
2 2 0
1 1 1
2 0 0
0 2 2
10 3
2 3 1
0 2 1
2 1 0
0 2 2
2 2 1
2 3 3
2 2 2
3 0 1
3 2 0
3 1 1
10 7
0 2 0
2 1 0
1 0 0
0 1 1
0 0 2
0 1 2
1 1 0
0 2 2
2 2 0
1 2 2
10 7
1 0 0
1 3 3
2 3 3
3 2 2
3 2 3
1 2 2
3 1 2
0 0 2
0 3 0
2 0 0
10 5
1 2 1
0 2 2
1 0 2
2 2 1
0 1 2
2 0 1
2 1 0
0 2 1
1 0 1
1 1 0
10 5
1 1 1
0 2 0
2 1 1
1 1 2
3 3 3
2 1 3
3 0 0
0 3 1
2 1 2
2 1 0
10 4
3 2 3
1 0 0
3 1 3
1 1 3
1 3 1
0 1 2
1 0 1
1 0 3
3 1 0
3 0 2
10 7
2 1 0
1 2 3
0 3 2
1 0 0
1 2 1
3 1 0
1 0 1
1 1 3
3 3 3
3 3 1
10 6
2 1 2
0 1 0
0 0 0
1 2 2
2 0 0
2 1 0
0 1 1
1 2 1
0 1 2
1 1 1
10 5
3 1 0
1 2 2
2 0 1
1 1 3
1 1 2
1 3 0
1 0 2
0 0 0
1 0 0
1 3 3
10 6
0 0 0
2 2 1
0 0 1
2 1 1
0 1 2
0 2 0
1 1 1
2 1 0
2 2 0
2 0 2
10 4
0 0 0
3 3 1
2 1 1
0 2 0
3 0 3
2 0 2
3 3 0
3 0 0
1 2 0
2 2 0
10 7
2 3 3
3 2 2
2 3 1
0 0 3
1 2 2
2 2 0
3 2 1
2 3 0
2 2 1
3 0 1
10 4
0 2 2
0 1 0
1 0 1
2 2 2
0 0 2
1 2 1
2 0 1
2 1 2
0 2 1
1 0 2
10 3
3 2 3
2 0 2
1 2 0
0 2 2
0 3 0
2 2 0
3 1 2
2 1 1
1 1 2
0 3 3
10 9
3 3 1
1 1 1
0 0 0
0 1 0
3 3 0
1 2 2
2 0 0
1 1 2
3 1 1
0 1 3
10 9
2 2 0
0 0 0
0 1 1
2 2 1
2 1 2
0 2 2
0 2 1
1 2 2
1 0 2
2 2 2
10 9
2 1 0
0 0 2
0 3 0
2 2 1
2 2 3
2 1 2
1 2 0
2 3 0
1 0 0
3 3 1
10 7
0 1 0
3 1 3
2 1 0
2 2 1
0 1 1
1 2 0
0 3 0
2 3 2
3 2 1
1 3 3
10 5
0 3 1
0 1 1
1 3 0
0 2 0
2 2 2
1 3 3
2 1 2
1 1 0
1 3 2
1 0 2
10 2
1 0 0
0 3 0
1 1 0
3 2 1
1 1 2
3 1 3
0 1 2
1 1 3
1 0 3
3 0 2
10 5
1 2 3
0 2 1
3 1 2
3 2 3
3 0 1
2 3 0
0 2 3
1 0 3
2 3 1
3 2 2
10 2
2 2 0
1 1 1
2 0 0
1 0 0
0 2 0
1 0 1
0 0 2
0 0 0
1 2 2
1 2 0
10 4
0 0 0
0 1 0
0 1 1
2 1 2
1 2 1
2 0 1
2 2 1
2 1 1
1 0 1
0 2 2
10 8
1 0 0
2 1 1
1 1 2
1 2 0
1 0 2
0 2 0
0 1 1
1 1 0
0 2 2
0 0 1
10 8
1 0 3
0 2 3
3 2 0
1 0 0
2 2 2
1 3 0
0 1 0
1 0 2
2 0 1
3 2 1
10 2
0 0 2
1 1 2
2 2 2
0 1 1
0 0 1
1 1 1
1 0 2
0 2 2
0 2 1
1 0 1
10 9
1 1 0
0 0 1
2 0 0
0 2 1
2 1 2
2 2 2
0 2 0
0 2 2
0 0 2
1 2 2
10 9
3 1 1
2 1 2
0 1 3
0 3 1
1 1 0
2 0 0
0 2 0
2 0 1
2 3 1
0 0 0
10 6
0 1 0
0 1 1
1 2 3
3 0 2
1 1 0
2 1 0
0 3 1
1 1 1
3 0 3
1 1 3
10 2
0 2 2
1 0 2
1 0 1
0 1 1
1 1 0
0 1 0
0 0 0
2 2 1
2 2 0
1 1 2
10 6
0 2 0
0 0 2
2 2 0
2 0 2
2 2 2
1 2 1
0 0 1
1 1 2
1 2 3
1 3 3
10 2
3 0 1
1 1 2
1 0 0
3 1 3
2 3 1
1 0 2
1 0 1
2 0 3
1 1 1
1 1 0
10 6
0 3 1
3 3 3
1 2 3
1 2 1
1 3 2
2 1 0
3 1 3
2 0 0
1 1 2
1 0 2
10 2
1 1 1
1 1 0
0 1 2
0 2 1
1 2 0
1 1 2
2 1 1
0 2 2
2 2 0
0 0 2
10 7
2 1 1
0 1 0
1 0 1
1 1 1
2 0 1
0 2 2
1 0 0
2 0 0
0 0 1
2 2 0
10 7
1 0 0
2 1 0
1 0 2
0 0 1
1 2 1
1 2 0
2 0 0
0 1 2
0 0 0
2 2 2
10 2
0 0 0
0 2 2
2 0 0
1 1 2
2 1 2
0 1 2
2 2 2
2 1 0
1 0 1
2 0 1
10 5
2 1 1
1 1 2
0 0 1
0 1 2
1 0 1
2 2 0
1 0 2
2 1 2
2 1 0
1 1 0
10 2
1 0 0
1 2 2
0 2 0
0 2 1
1 1 0
0 0 0
1 2 0
1 1 2
0 1 0
0 1 1
10 5
0 0 0
0 2 2
3 3 2
3 1 0
1 2 0
0 2 3
0 1 1
2 0 0
2 2 0
1 1 2
10 5
0 0 2
0 0 0
2 2 2
2 1 2
0 1 0
1 1 1
1 2 2
0 2 1
0 2 2
2 0 1
10 9
2 3 1
1 3 3
3 1 1
3 2 3
3 3 2
2 1 0
1 3 1
3 2 1
3 1 3
1 1 0
10 7
2 1 0
1 1 0
0 2 2
1 2 1
0 2 1
0 0 0
0 0 2
1 0 2
1 2 0
2 2 2
10 9
0 2 2
2 2 0
0 1 2
1 2 1
0 0 2
0 1 0
1 0 0
0 0 0
2 0 1
1 2 0
10 9
0 0 1
1 1 0
1 2 0
1 1 1
2 2 0
1 2 1
0 2 0
0 0 2
0 2 2
0 2 1
10 8
2 1 0
1 2 1
2 2 0
1 1 3
0 1 1
2 2 1
0 2 1
2 0 1
1 1 0
0 0 1
10 7
0 2 0
2 1 2
0 2 1
1 2 0
2 0 2
2 0 0
1 2 2
2 1 1
1 0 0
1 1 1
10 2
1 1 0
0 1 2
2 1 2
0 2 2
1 2 2
0 0 2
1 0 0
2 0 2
0 2 1
1 2 1
10 4
1 0 2
2 1 1
0 0 1
2 2 1
0 1 2
0 2 1
1 1 0
2 1 2
1 1 2
1 0 0
10 3
2 1 2
2 1 1
2 2 1
0 0 1
2 0 1
2 2 0
0 2 0
1 0 1
1 1 1
1 1 0
10 4
2 1 2
3 1 2
2 3 1
3 2 1
3 0 2
1 1 2
3 2 2
1 1 1
3 1 0
1 1 3
10 9
0 3 1
0 3 0
0 3 3
0 0 0
1 0 1
2 0 0
2 2 0
2 2 2
2 3 2
3 2 3
10 7
2 0 0
0 1 2
0 2 2
0 0 1
0 2 0
1 0 0
1 1 1
1 1 2
2 2 1
0 0 2
10 9
2 2 3
1 3 2
2 3 0
0 1 3
1 1 0
0 1 1
2 3 2
2 2 2
3 0 0
3 0 3
10 8
2 1 0
1 1 0
0 2 0
0 0 0
2 0 2
2 2 2
1 2 2
0 0 1
1 1 2
2 1 1
10 7
0 1 0
2 2 2
0 0 2
1 0 1
2 3 1
3 0 1
1 2 0
3 3 2
2 3 0
3 0 2
10 5
3 2 0
0 3 1
3 3 2
3 0 0
3 1 2
3 2 1
1 1 2
1 1 0
3 3 3
0 0 0
10 3
2 1 2
0 0 1
2 0 1
0 1 2
2 2 0
1 2 1
1 2 0
0 2 2
0 2 0
1 0 0
10 7
1 0 1
0 1 1
0 0 1
0 0 2
0 1 0
1 1 0
0 0 0
1 0 2
2 2 0
1 1 2
10 5
0 1 1
0 0 1
1 2 0
0 2 0
2 0 2
1 2 1
1 0 2
1 1 0
1 2 2
2 0 0
10 2
1 3 1
2 2 0
3 0 1
3 3 2
3 2 3
0 3 0
0 2 1
2 1 0
3 0 0
1 1 1
10 6
0 2 2
2 3 3
0 1 2
0 1 1
1 3 2
2 1 1
0 3 2
1 0 1
1 2 3
3 1 3
10 7
2 3 0
1 1 0
1 3 2
3 3 3
2 0 2
1 1 1
1 0 2
3 1 2
0 0 1
2 1 3
10 6
1 1 0
2 2 1
2 1 1
2 1 2
0 2 0
0 2 1
0 0 1
0 1 0
2 2 0
1 0 1
10 5
2 1 3
0 2 2
3 3 0
0 1 2
3 2 2
0 3 3
1 1 2
3 3 2
2 2 3
1 2 3
10 5
1 0 3
3 3 1
0 1 1
2 3 1
2 3 2
1 1 2
0 2 0
0 2 3
1 2 1
0 0 1
10 8
2 2 2
0 2 0
2 2 0
0 0 0
1 0 1
1 1 0
2 0 0
1 2 2
1 0 2
1 2 1
10 2
2 1 0
3 3 1
3 2 0
2 3 0
1 3 1
1 3 3
1 0 0
0 3 1
1 3 0
0 2 0
10 2
3 0 1
1 1 1
3 2 2
0 2 1
1 2 1
1 0 1
1 0 0
3 1 3
0 2 2
1 1 0
10 2
2 2 0
0 0 3
2 0 0
1 2 3
3 2 2
0 1 2
1 3 1
3 2 1
0 2 0
2 3 0
10 3
2 0 0
3 0 0
1 2 3
1 3 0
1 0 2
1 3 3
3 3 1
2 1 1
1 0 3
2 2 2
10 2
2 2 2
0 0 1
0 0 0
2 0 1
1 0 0
2 2 1
2 1 2
0 2 1
2 1 0
1 2 2
10 7
2 2 0
3 3 0
1 1 2
3 1 2
3 2 1
0 1 1
3 0 1
2 0 0
0 2 2
2 1 3
10 7
1 0 0
1 2 1
2 1 1
1 2 0
1 1 0
0 0 0
1 0 1
1 0 2
0 1 0
2 2 1
10 8
1 1 2
0 1 0
1 2 2
2 2 0
2 1 2
1 1 1
1 2 0
2 2 2
0 1 1
2 0 0
10 6
2 0 0
2 2 0
2 1 0
0 2 2
0 1 0
1 2 1
1 0 1
0 2 1
1 0 2
2 0 2
10 9
2 0 0
2 0 1
0 2 2
1 1 2
1 1 0
0 2 0
0 1 1
1 2 2
1 1 1
0 2 1
10 9
2 0 0
0 0 1
1 2 2
2 0 2
1 2 1
0 1 2
1 1 0
1 2 0
2 1 0
0 1 1
10 2
2 1 0
2 2 0
0 0 2
1 0 2
0 2 1
2 0 0
1 1 2
2 1 1
1 2 1
1 2 2
10 3
0 2 3
0 0 0
1 1 1
3 2 2
0 2 0
2 3 3
1 2 3
0 0 1
1 0 3
2 2 2
10 5
0 0 2
2 1 1
2 2 1
3 2 2
1 1 1
2 3 1
2 2 2
3 0 2
0 3 3
2 3 2
10 9
2 3 2
2 0 3
2 0 0
2 2 2
3 3 1
1 3 3
1 3 2
0 2 2
3 3 0
0 1 1
10 6
2 1 2
1 2 1
0 1 2
0 1 1
0 1 0
0 2 0
1 1 0
0 0 2
2 1 1
2 2 1
10 9
2 1 0
2 0 1
1 2 1
0 2 0
2 2 2
0 1 1
1 2 0
1 2 2
2 0 2
1 0 1
10 8
3 2 1
0 0 0
1 2 2
1 1 0
3 0 3
1 0 0
3 1 0
3 3 0
3 0 0
3 3 3
10 7
0 1 0
0 2 0
1 1 1
0 0 1
2 0 1
1 1 2
1 2 2
2 1 1
0 2 2
1 0 1
10 6
1 0 2
1 1 2
2 0 0
1 1 0
0 0 1
2 1 1
2 0 2
2 2 0
2 1 2
0 1 0
10 8
0 0 2
1 0 2
0 0 0
2 2 0
2 2 2
1 0 1
0 2 1
0 1 1
1 1 0
0 1 0
10 8
1 1 2
0 1 2
1 0 0
2 2 2
0 2 2
2 1 2
1 0 1
0 0 0
1 2 2
1 1 0
10 5
2 3 0
0 1 2
0 2 1
0 0 3
3 0 0
1 2 1
3 0 2
2 1 3
3 3 2
1 1 0
10 5
0 2 0
0 2 1
0 2 2
1 1 1
2 1 2
2 1 0
1 2 1
0 0 0
2 2 1
0 1 2
10 8
2 2 1
0 1 2
2 2 2
1 1 1
2 3 0
2 3 1
1 0 3
3 3 0
1 2 3
2 3 2
10 7
1 3 1
2 2 2
1 0 1
2 0 2
1 3 2
3 0 1
3 1 3
0 2 2
3 0 0
1 0 3
10 9
1 2 1
1 1 0
2 2 2
1 0 0
0 1 0
2 0 1
2 0 0
0 0 2
2 0 2
2 1 2
10 3
0 3 2
2 1 3
2 3 3
1 0 2
1 0 1
0 2 1
2 2 0
0 1 2
1 2 1
1 3 2
10 2
3 2 0
2 1 3
1 3 0
1 3 2
1 0 0
2 1 0
0 2 3
1 1 2
3 1 1
2 1 1
10 5
3 2 1
2 0 3
3 1 3
2 3 1
3 2 3
3 2 2
1 2 3
2 3 0
2 2 2
0 3 2
10 6
1 2 2
3 2 0
1 1 1
2 2 1
0 0 1
3 2 1
1 3 2
1 1 3
2 2 2
0 3 0
10 4
1 1 1
2 2 0
2 2 2
0 2 0
1 1 2
2 1 2
0 0 2
0 2 2
1 2 2
0 1 1
10 9
1 1 1
1 1 2
0 2 2
2 0 2
2 0 1
2 1 2
2 1 0
2 2 1
0 1 2
1 2 1
10 8
2 0 2
0 1 1
1 2 0
0 1 2
1 0 0
0 2 1
2 2 0
2 2 1
0 0 0
1 0 2
10 2
1 1 0
1 2 2
2 2 1
0 2 2
2 0 1
2 0 0
0 1 2
1 1 2
0 0 0
0 2 1
10 3
2 3 3
1 0 3
0 0 0
3 2 1
1 1 1
3 1 1
1 2 0
2 2 2
1 3 1
3 3 3
10 5
2 1 1
2 1 2
0 0 1
0 2 2
1 2 0
2 2 2
0 1 1
1 1 2
2 2 0
1 0 0
10 5
0 3 0
2 0 3
1 1 2
1 2 0
2 0 2
2 3 1
2 3 0
3 0 2
0 0 2
1 1 0
10 2
1 2 2
2 0 1
2 0 2
1 2 1
1 1 3
3 3 0
2 0 3
1 0 3
1 3 2
3 1 1
10 5
1 2 3
0 3 1
1 0 0
0 1 3
3 3 1
1 0 2
1 3 2
3 3 3
3 2 1
0 0 0
10 9
0 2 3
1 1 0
2 0 0
3 2 0
0 1 1
0 2 2
3 2 1
1 3 1
0 1 0
2 1 0
10 5
2 1 0
0 1 3
3 1 1
3 2 0
3 1 2
1 0 0
2 2 1
3 0 1
2 0 0
0 2 0
10 9
0 2 0
1 0 0
0 1 0
0 0 0
1 0 2
0 2 1
2 2 0
1 2 2
1 1 1
1 1 2
10 3
0 1 0
1 1 1
0 1 1
0 0 2
2 2 2
0 2 1
2 1 1
0 0 1
2 2 0
0 0 0
10 5
2 0 2
0 2 1
0 0 1
2 0 0
1 1 1
1 2 0
1 2 1
2 1 0
1 0 0
2 1 1
10 5
1 2 2
2 0 0
2 1 1
1 1 1
0 1 1
0 0 1
0 1 2
1 0 1
2 2 0
0 0 0
10 2
2 2 2
1 0 1
0 2 1
1 1 0
1 2 1
2 2 0
2 1 0
1 2 2
2 1 1
0 2 2
10 8
0 1 3
1 0 1
1 2 3
0 1 2
0 1 1
0 2 2
1 3 1
1 0 3
1 2 2
1 3 3
10 9
0 0 1
2 3 1
0 3 1
1 1 2
1 2 2
1 0 1
2 1 3
2 3 2
0 2 3
2 1 0
10 5
1 2 2
1 1 1
0 2 2
0 0 2
0 1 1
0 1 2
0 1 0
0 0 1
2 1 0
2 0 2
10 7
1 2 1
0 2 1
0 0 0
2 1 1
1 0 2
0 1 2
2 2 2
1 1 1
2 1 0
0 2 0
10 9
2 1 2
1 0 2
1 1 2
0 1 1
2 2 1
1 0 1
1 0 0
2 0 0
0 0 0
1 1 1
10 5
0 1 0
2 0 2
1 1 1
1 2 2
1 2 1
1 1 0
1 0 0
2 1 2
2 0 0
1 0 2
10 7
0 2 1
0 1 1
0 0 2
2 2 1
1 1 2
2 1 0
0 0 0
0 1 0
2 0 0
1 0 1
10 5
0 2 1
2 1 1
2 1 2
1 1 0
1 0 1
1 1 1
0 0 1
2 0 0
0 1 1
1 0 2
10 2
2 0 1
1 2 0
0 0 0
3 3 2
3 1 2
0 0 3
1 3 0
2 0 2
2 0 0
0 3 2
10 3
3 1 2
0 3 3
3 3 3
2 1 1
2 0 1
2 2 3
1 1 1
2 0 0
1 1 2
0 0 2
10 4
1 1 1
1 0 0
0 1 1
2 0 2
1 0 1
0 0 1
1 2 2
0 1 2
2 2 0
0 2 1
10 7
3 3 0
2 3 0
2 2 3
2 1 0
0 0 2
0 3 2
2 3 3
0 1 2
1 2 2
1 0 3
10 6
1 0 1
1 0 0
1 0 2
0 0 0
1 1 1
2 2 2
2 0 1
2 1 1
0 2 1
2 0 2
10 6
1 0 3
2 3 1
0 0 0
2 2 0
0 0 1
1 2 3
1 3 0
3 3 1
3 3 2
2 3 3
10 2
0 3 3
1 0 3
3 0 2
0 0 2
2 0 3
1 1 3
1 2 3
2 0 0
1 2 1
1 2 0
10 3
0 2 0
1 0 0
1 1 0
2 0 0
0 1 2
2 1 1
2 1 2
0 0 2
1 0 2
1 1 1
10 3
0 3 0
0 1 2
2 3 2
0 0 1
3 3 3
0 2 2
0 0 0
2 3 0
2 2 3
1 2 1
10 4
3 1 1
2 2 3
3 2 1
0 3 3
3 1 3
0 3 2
3 1 2
1 1 2
1 1 3
0 0 0
10 2
2 2 2
0 2 1
2 2 0
1 0 0
1 2 2
0 0 1
2 1 0
1 2 0
0 1 1
1 1 1
10 7
0 0 2
2 1 2
1 0 1
0 2 2
2 1 0
0 2 1
2 0 0
2 2 2
1 2 1
2 2 0
10 5
0 2 1
2 1 1
1 2 0
1 2 1
0 2 2
1 0 0
1 0 2
1 2 2
1 1 2
2 2 0
10 7
3 2 2
1 1 0
1 1 3
3 0 3
1 1 1
3 1 0
3 3 2
0 0 0
0 1 1
3 2 3
10 4
3 0 1
3 3 3
0 0 3
3 3 2
2 3 2
3 0 3
3 2 3
2 2 3
0 2 1
2 1 1
10 9
1 2 2
2 2 1
2 2 2
0 0 1
0 1 2
1 1 0
2 1 1
1 0 0
1 0 2
0 2 0
10 8
3 0 2
2 3 2
0 3 1
1 0 0
0 0 2
1 3 1
2 2 2
2 2 0
3 2 0
1 2 1
10 8
2 1 2
1 1 2
0 2 0
1 1 1
0 2 2
0 1 1
1 0 0
2 2 2
2 0 0
0 0 2
10 2
0 1 1
0 1 0
1 0 1
2 0 2
2 2 0
0 0 1
2 1 1
0 0 2
2 1 2
1 0 2
10 2
1 1 1
0 0 2
2 2 2
0 2 0
1 0 0
2 0 1
1 0 1
0 0 0
0 1 1
1 2 2
10 8
1 1 0
2 1 2
2 1 1
1 2 2
2 2 2
0 0 1
1 2 1
0 2 1
1 0 0
2 0 0
10 6
2 0 3
0 2 1
1 3 1
1 3 3
0 3 1
1 2 3
2 0 1
2 2 1
0 0 2
3 3 0
10 4
1 0 0
1 2 1
2 0 1
0 2 2
2 2 1
0 0 1
2 1 2
2 2 2
1 0 2
2 1 0
10 8
0 0 0
2 2 1
2 0 2
0 1 0
2 2 2
2 1 1
1 1 2
1 2 2
0 2 0
2 2 0
10 7
1 1 0
2 1 1
1 0 0
0 0 1
2 0 2
0 1 2
2 1 2
1 0 2
0 2 2
0 2 1
10 2
3 0 2
0 0 0
1 1 2
2 3 2
3 3 2
1 0 0
1 3 1
3 2 1
3 2 3
1 0 3
10 6
2 0 0
0 2 2
1 2 0
1 1 0
2 1 1
2 1 2
2 0 2
0 1 2
2 0 1
0 0 2
10 6
1 2 0
1 1 2
2 2 2
0 0 0
0 0 2
1 2 1
2 2 0
1 0 2
0 0 1
2 1 1
10 2
2 0 1
2 2 0
1 2 0
2 2 1
0 1 1
0 0 2
2 0 2
0 2 1
0 1 2
0 1 0
10 3
2 3 0
1 3 0
2 2 1
2 3 3
1 1 3
2 1 1
0 3 1
3 3 0
3 1 3
2 1 0
10 3
2 3 3
3 1 3
1 0 1
1 1 3
3 2 1
1 3 0
0 3 2
3 1 2
1 2 2
2 1 1
10 9
2 3 0
0 3 2
1 1 2
0 2 1
3 3 1
0 3 1
0 1 0
3 2 0
0 0 3
2 3 3
10 8
2 1 0
1 2 2
3 3 3
0 0 1
1 2 0
2 3 3
2 2 0
2 2 3
1 0 0
0 3 1
10 2
3 3 2
0 2 0
1 3 0
3 3 3
1 0 3
2 2 1
0 2 1
3 0 2
3 1 3
3 2 1
10 8
1 2 1
2 1 1
1 2 0
1 0 1
0 0 0
0 1 0
0 2 2
0 0 1
2 0 0
2 2 2
10 4
2 1 2
1 3 0
0 0 1
1 0 1
3 0 3
0 3 1
2 0 2
0 0 2
3 0 1
1 1 3
10 2
1 2 0
2 0 0
1 0 0
2 2 0
1 0 1
0 0 0
1 0 2
0 2 2
0 2 0
2 1 0
10 7
2 0 3
0 3 3
1 1 1
0 0 0
3 1 0
1 0 3
1 1 3
2 1 1
2 1 3
2 0 0
10 4
0 0 1
1 1 2
1 0 0
0 1 1
0 2 0
1 1 0
1 2 1
2 2 2
2 0 1
2 1 1
10 3
1 0 0
0 0 2
2 0 0
2 0 1
1 2 1
0 1 2
1 1 0
2 2 2
0 0 1
0 1 1
10 7
2 3 3
1 3 1
3 2 0
1 2 2
1 0 0
3 1 1
1 2 0
3 2 1
0 1 0
0 0 3
10 6
2 2 2
3 3 0
3 3 2
2 1 2
3 1 0
3 0 3
3 0 2
1 1 0
0 0 3
1 0 1
10 7
0 1 0
2 1 2
0 0 3
2 3 1
3 2 3
3 0 0
2 0 3
3 2 0
0 2 1
2 0 0
10 6
2 1 0
1 0 2
2 3 0
1 0 3
2 2 0
2 0 2
0 1 3
0 2 2
1 3 0
1 3 2
10 9
1 1 2
3 0 3
2 1 2
2 2 0
1 3 2
1 0 1
3 3 2
1 0 0
0 1 3
3 0 1
10 7
1 3 0
0 1 1
1 0 3
3 3 1
1 3 1
2 1 1
1 1 2
0 0 1
0 0 0
3 1 0
10 9
2 1 1
1 3 0
2 1 0
2 0 3
3 3 3
0 2 2
2 3 1
0 3 2
1 2 2
0 1 0
10 2
0 0 1
1 1 2
2 2 1
0 2 1
1 0 0
2 0 2
2 2 2
1 2 0
0 1 2
1 0 1
10 3
0 2 1
0 1 2
0 2 0
1 0 2
0 1 0
0 0 0
1 1 0
0 0 1
0 2 2
2 2 1
10 6
0 2 0
1 0 2
2 2 0
0 0 2
1 2 0
2 2 2
0 1 2
2 0 2
0 0 1
2 0 0
10 9
0 3 1
2 3 0
1 1 3
0 1 2
1 0 2
1 2 1
2 0 0
2 3 3
0 1 0
2 3 1
10 3
0 2 0
1 2 0
1 2 1
0 1 1
1 2 2
2 0 2
1 0 0
2 2 1
1 1 0
1 0 1
10 5
2 2 2
0 0 2
1 0 0
0 2 2
0 0 0
1 2 1
2 0 1
2 0 0
0 0 1
2 2 1
10 2
3 2 0
2 1 0
1 0 1
3 0 1
1 2 2
3 3 3
2 3 0
2 3 2
1 0 3
0 2 1
10 5
0 0 1
1 1 0
2 0 0
1 0 1
2 1 1
2 2 2
1 0 2
2 1 0
2 1 2
0 2 2
10 4
1 3 0
3 2 1
3 0 3
3 1 0
2 1 3
0 1 3
1 2 2
3 0 1
3 3 1
1 1 0
10 7
0 0 0
0 2 0
2 0 2
0 1 2
2 2 0
1 1 2
1 0 1
2 1 2
1 2 1
2 0 0
10 9
3 0 2
3 2 3
0 0 1
1 2 3
0 1 3
0 2 3
1 3 1
1 1 0
2 1 3
3 2 0
10 9
0 2 1
0 0 0
2 1 1
1 1 2
2 0 2
2 2 2
1 0 0
0 2 2
0 1 0
1 1 0
10 6
0 3 3
2 0 1
2 3 0
1 2 0
2 1 1
3 0 0
1 1 1
0 2 2
1 2 1
2 2 3
10 5
0 1 1
0 0 1
0 2 1
3 3 0
2 2 1
3 0 0
3 1 3
1 3 3
3 2 3
0 3 1
10 5
2 2 1
0 2 1
1 0 2
1 1 1
2 2 0
0 0 1
2 2 2
2 1 2
0 0 0
0 2 0
10 5
1 1 0
3 2 2
3 1 2
2 1 3
0 1 1
1 2 3
0 1 3
1 1 2
3 3 2
2 0 2
10 7
2 2 0
1 0 2
2 1 0
0 2 1
0 2 0
2 1 1
1 2 0
2 0 0
0 2 2
1 1 1
10 9
2 3 2
1 2 3
0 0 3
3 0 1
3 2 3
2 0 2
2 1 2
2 0 3
0 3 2
1 0 3
10 4
2 2 1
3 3 3
1 2 1
3 0 0
3 1 3
1 1 3
3 2 0
2 1 1
0 3 1
2 1 0
10 2
2 1 0
1 2 0
1 3 0
0 3 0
3 2 1
0 3 1
2 1 3
2 2 3
1 1 3
2 0 2
10 6
2 0 2
0 0 0
0 2 2
0 1 2
2 1 1
0 2 1
2 0 0
0 2 0
0 1 1
2 1 2
10 7
1 2 1
1 1 1
2 2 0
2 2 1
1 1 0
2 0 1
0 0 0
1 0 1
0 0 2
2 0 2
10 6
2 1 1
0 1 0
2 0 0
1 0 2
0 2 2
1 2 2
0 0 0
2 0 1
1 1 0
2 0 2
10 2
3 1 3
2 2 0
0 0 2
2 0 0
0 0 0
2 2 1
2 3 1
3 2 0
3 3 0
2 2 3
10 6
0 1 2
1 2 0
1 1 1
2 1 0
1 1 0
1 2 1
1 0 2
0 0 1
2 0 1
2 2 2
10 2
0 0 0
1 1 2
0 0 2
1 1 0
0 1 1
0 0 1
0 2 1
2 0 2
1 0 2
0 2 0
10 8
1 1 1
0 2 3
0 0 1
2 3 1
3 2 0
1 2 2
0 3 0
3 0 2
2 0 2
0 1 3
10 7
0 2 2
2 1 0
2 0 0
2 2 2
2 0 2
0 0 2
2 1 1
1 2 1
0 2 1
2 2 0
10 6
3 1 1
1 1 0
3 2 1
3 1 0
0 3 3
3 3 0
0 3 0
1 1 1
2 2 2
0 1 0
10 3
3 3 0
1 2 3
2 2 0
1 2 2
1 0 0
3 3 1
2 3 1
3 2 2
0 1 0
0 3 2
10 2
1 0 3
2 2 2
2 1 3
3 1 1
2 1 2
3 1 0
3 2 3
1 3 0
0 1 0
3 2 0
10 5
2 2 0
1 0 1
2 2 2
2 0 0
0 0 1
2 1 1
1 0 0
1 1 2
1 1 1
1 1 0
10 4
3 1 3
0 2 1
1 1 2
1 0 1
0 3 1
3 2 1
1 1 3
1 2 0
2 1 3
2 2 1
10 8
0 1 0
2 2 1
1 0 1
1 0 0
1 2 2
2 1 1
2 0 0
1 1 1
1 1 2
2 0 2
10 6
2 0 2
3 3 2
0 2 0
1 1 3
1 1 0
0 3 2
1 0 0
1 1 2
2 3 3
2 2 1
10 5
2 3 1
1 1 2
1 0 3
0 3 0
2 1 2
3 1 3
1 1 3
3 2 2
0 3 3
1 3 0
10 8
0 1 0
0 3 3
2 3 3
1 1 3
0 0 1
3 3 3
2 2 1
2 0 1
1 1 0
0 1 2
10 9
2 0 1
2 1 0
0 0 2
1 2 0
1 0 0
0 1 1
1 0 2
1 2 1
0 0 0
2 2 0
10 3
1 0 0
1 3 1
2 1 0
2 0 2
3 1 2
3 0 3
3 0 1
2 2 1
0 3 0
0 1 3
10 4
0 0 0
1 0 1
1 1 0
2 1 0
1 2 0
2 0 2
2 2 2
2 2 0
0 1 1
0 0 2
10 2
2 1 2
1 0 0
0 2 0
0 1 0
0 0 2
1 2 0
2 0 0
2 2 1
0 1 2
0 2 2
10 5
3 2 1
3 0 1
0 1 2
1 0 3
1 1 3
0 0 1
2 1 1
0 3 3
2 2 3
0 0 0
10 2
2 1 1
1 0 2
2 2 0
0 0 0
1 0 1
0 1 2
1 1 2
1 2 1
2 2 1
2 1 2
10 2
3 3 2
1 3 3
3 1 3
2 0 0
2 2 2
0 2 3
1 2 1
1 2 0
1 2 3
3 2 1
10 5
0 2 0
1 3 0
3 0 2
2 3 1
2 0 0
2 1 1
1 3 2
3 0 3
0 1 1
1 1 0
10 5
1 1 3
1 3 1
1 3 0
1 1 2
0 1 0
3 2 2
2 2 1
1 1 0
1 2 1
3 1 2
10 7
0 2 2
0 1 2
2 1 2
1 0 0
1 2 1
1 1 1
0 0 0
0 1 1
0 2 1
2 2 0
10 5
2 1 2
2 0 0
2 1 0
0 1 0
0 3 1
2 3 0
2 1 3
3 1 1
1 1 1
0 2 2
10 2
0 1 1
1 0 1
1 1 2
2 1 1
0 1 0
0 2 1
2 0 2
0 0 2
1 0 2
0 0 0
10 9
1 2 0
0 2 2
2 2 0
0 0 1
1 0 0
2 1 2
0 2 1
2 0 2
0 1 1
1 1 0
10 5
0 3 2
3 1 1
1 3 2
3 1 3
3 0 0
2 3 0
2 2 2
3 2 3
1 1 3
1 3 0
10 5
0 0 3
2 2 2
1 1 2
1 0 3
0 2 1
2 0 1
2 2 0
0 3 0
2 2 3
0 0 2
10 4
0 0 2
1 2 2
0 0 0
0 1 0
0 2 0
1 1 0
2 2 1
0 1 2
0 1 1
2 1 2
10 8
1 2 2
0 1 2
0 0 0
1 0 0
2 0 1
2 1 0
1 2 1
1 0 1
0 0 1
2 1 1
10 3
2 2 1
1 1 0
1 2 0
1 0 0
1 2 1
2 0 2
2 1 0
2 0 0
0 1 2
0 0 1
10 7
0 2 2
1 1 2
2 0 0
0 1 2
0 0 2
1 2 0
0 2 1
1 0 1
0 0 0
2 2 2
10 3
1 3 0
2 0 2
2 3 0
3 2 2
3 3 2
1 1 3
2 0 1
3 3 1
0 0 3
2 3 2
10 8
1 2 1
2 1 1
2 2 0
3 3 2
2 1 0
2 3 3
1 0 3
2 2 2
1 2 3
2 3 1
10 2
0 2 2
1 2 1
1 0 2
1 1 2
1 1 0
0 0 1
1 0 1
1 2 2
0 1 0
0 0 2
10 4
2 1 0
0 1 1
2 2 2
0 0 1
0 1 0
2 0 1
0 2 2
0 2 1
1 1 0
1 1 2
10 6
3 0 3
0 1 1
2 0 0
3 2 0
1 3 1
1 0 3
3 1 0
1 0 2
3 0 1
1 3 3
10 3
2 3 1
1 2 0
0 2 1
2 1 3
0 3 2
2 0 2
3 1 2
3 0 0
1 2 3
0 0 0
10 7
0 3 1
2 0 1
0 0 0
1 2 0
1 3 2
2 3 3
3 1 0
0 2 0
3 2 3
1 0 1
10 8
0 3 0
3 3 1
1 1 3
1 2 3
3 2 3
2 3 3
2 0 1
3 1 3
1 3 0
0 0 0
10 8
0 1 0
0 0 0
2 0 0
0 0 1
2 1 1
1 2 0
0 1 1
1 2 1
0 1 2
1 1 1
10 6
3 0 2
1 0 1
2 2 0
3 0 3
1 0 0
2 3 2
0 2 3
1 3 1
3 2 0
2 3 0
10 3
0 0 1
0 2 2
2 0 1
0 1 2
1 0 1
1 1 0
2 2 0
0 2 0
0 1 0
0 0 2
10 8
2 0 1
1 1 2
2 2 0
0 0 1
0 1 2
1 2 2
2 0 0
0 0 2
1 1 1
0 0 0
10 2
1 2 1
1 3 0
0 2 2
3 0 1
0 3 1
1 1 2
1 2 2
1 2 3
1 3 2
3 2 1
10 7
0 2 3
0 3 3
0 0 1
2 1 3
3 3 2
2 3 2
1 0 3
0 3 0
2 2 3
1 3 1
10 5
1 2 2
1 0 3
0 2 2
1 3 1
1 2 0
2 1 1
2 2 3
3 3 2
0 1 1
3 2 1
10 9
1 0 0
2 2 0
1 0 2
0 2 1
0 2 2
1 2 2
1 2 0
0 0 0
2 1 2
2 0 2
10 2
2 1 2
2 1 0
0 2 1
2 1 1
0 0 2
0 1 1
2 2 1
0 1 0
1 2 0
1 0 1
10 5
0 0 2
0 1 1
0 2 2
1 1 2
1 2 0
2 1 2
2 0 0
0 2 1
1 1 0
0 0 0
10 5
2 0 1
2 2 3
3 2 0
1 2 3
3 0 0
0 2 0
2 0 3
2 0 2
1 1 1
3 1 1
10 2
1 0 0
1 2 0
2 0 1
2 0 2
1 2 2
2 1 2
0 2 0
2 2 0
2 1 1
2 2 1
10 8
0 2 2
0 2 0
1 1 1
1 0 1
2 1 1
1 0 0
2 1 2
1 1 2
0 1 1
0 0 2
10 7
1 1 0
0 0 2
1 1 2
1 2 2
0 1 2
1 2 1
1 0 0
1 0 2
2 1 2
0 2 1
10 4
1 3 3
0 0 3
2 2 3
2 3 1
2 1 2
1 2 1
3 3 3
3 0 2
1 1 2
1 0 0
10 7
0 0 0
0 1 2
0 1 0
2 2 1
1 0 1
1 1 0
0 0 2
0 2 2
2 0 2
2 0 1
10 4
1 2 0
0 0 0
2 0 1
2 0 2
1 1 2
1 0 2
1 2 1
2 1 0
2 2 0
1 0 1
10 4
2 3 3
3 1 1
1 1 0
0 0 1
3 1 3
3 3 2
2 2 2
3 0 0
3 2 2
1 2 3
10 5
0 0 2
2 0 0
2 2 0
1 0 1
1 1 1
1 0 2
1 2 0
0 0 1
1 0 0
1 1 0
10 9
1 0 2
3 1 2
3 3 2
0 0 0
0 0 2
3 2 2
2 1 2
0 1 2
3 2 0
3 3 1
10 4
2 2 1
0 2 2
1 1 2
0 2 0
1 2 1
1 2 0
2 0 1
1 1 0
0 1 1
1 0 0
10 9
2 1 1
1 1 1
2 2 1
2 0 1
2 1 0
1 1 2
2 2 0
1 0 1
0 0 2
0 0 1
10 5
0 2 1
1 0 0
1 1 2
2 0 2
0 1 0
0 0 2
2 2 2
1 1 1
2 0 0
1 2 2
10 9
1 1 2
1 1 0
0 0 0
0 2 2
0 1 2
0 2 1
1 2 1
2 1 0
0 0 2
0 0 1
10 9
2 0 2
2 2 2
2 0 1
1 0 2
0 0 1
2 1 1
0 2 1
0 0 0
2 0 0
0 0 2
10 5
1 0 0
0 0 2
0 1 0
1 2 1
2 0 0
1 2 2
1 1 1
2 2 2
1 0 1
0 2 2
10 3
1 1 1
1 1 0
0 1 2
1 0 2
0 2 2
1 2 1
1 1 2
0 0 2
1 0 0
2 1 2
10 8
2 1 1
2 0 2
2 2 2
0 0 1
2 1 2
2 0 0
1 1 1
0 0 0
2 0 1
2 1 0
10 9
0 3 3
3 2 0
3 1 3
0 2 3
1 2 1
1 3 3
2 0 3
2 2 0
1 3 2
1 1 2
10 9
2 0 0
3 0 1
2 2 3
3 3 2
3 3 1
3 0 0
2 1 3
1 1 2
0 3 1
0 0 2
10 6
1 1 2
0 1 0
2 0 0
1 0 1
0 0 1
2 2 2
0 0 2
1 1 1
1 1 0
0 1 2
10 5
2 1 1
1 1 1
2 0 0
1 0 0
1 1 2
2 2 0
1 0 2
0 2 0
2 2 1
2 0 1
10 7
2 1 1
0 1 1
1 0 1
0 2 1
1 2 1
1 0 2
2 0 0
2 2 1
1 1 0
1 1 1
10 7
0 0 1
2 2 0
0 2 0
0 2 2
2 1 2
0 1 2
1 2 0
0 2 1
1 2 2
1 1 2
10 4
2 0 1
0 0 1
0 2 0
2 0 2
2 1 1
1 0 2
1 1 1
2 1 0
1 2 1
2 2 1
10 8
0 3 1
3 0 0
0 2 1
2 1 0
2 0 3
2 3 2
1 0 0
3 2 1
1 1 0
1 2 2
10 4
1 3 2
1 0 1
3 3 1
3 1 1
1 3 1
0 1 2
3 1 2
3 0 3
2 0 1
2 3 1
10 4
3 3 0
1 2 2
3 1 0
3 0 0
2 3 1
2 3 3
2 0 1
2 2 2
1 3 1
2 2 0
10 8
1 1 1
1 0 0
1 0 2
0 0 1
1 1 2
2 2 0
2 0 0
1 0 1
0 2 2
1 2 1
10 9
0 1 0
0 0 3
1 2 0
3 0 1
1 3 0
0 1 2
2 1 3
0 2 1
3 3 1
0 1 1
10 6
2 0 1
0 2 0
2 2 2
1 2 2
1 1 1
1 2 1
2 2 1
1 1 0
2 0 0
0 2 1
10 4
1 1 0
0 2 1
2 2 1
2 2 2
1 2 1
2 0 0
0 2 0
2 1 2
0 0 1
1 2 0
10 5
3 3 0
2 0 2
0 3 0
0 2 0
0 1 1
1 2 3
0 1 2
1 1 2
3 1 0
1 0 0
10 9
1 3 2
2 2 1
2 3 3
3 0 3
0 2 3
2 0 0
2 3 0
1 3 0
1 2 3
2 0 3
10 6
1 2 2
2 0 0
0 1 1
2 2 2
2 0 1
1 2 0
2 1 0
1 0 0
0 1 0
0 0 2
10 8
1 2 2
0 0 0
2 1 0
1 2 0
1 1 1
2 0 2
0 2 1
1 1 0
2 2 2
1 2 1
10 8
3 3 0
2 0 0
2 2 3
1 3 3
0 2 0
1 1 1
1 3 2
3 3 2
0 3 2
1 0 0
10 2
0 2 2
2 0 1
0 0 0
1 1 0
1 0 1
2 1 2
2 2 2
0 0 1
1 1 1
1 1 2
10 6
3 3 3
0 0 1
0 3 3
0 0 0
2 0 1
3 2 3
2 1 1
0 2 3
3 1 3
3 1 0
10 4
1 1 0
2 2 1
1 1 2
1 1 1
0 1 2
1 0 2
2 1 1
2 0 1
0 0 0
1 0 0
10 5
3 1 1
2 1 1
0 0 1
3 1 3
0 1 1
0 3 0
1 1 1
0 3 3
1 1 3
2 2 3
10 2
2 2 0
2 0 1
2 0 0
0 2 1
1 1 0
2 2 1
1 0 2
2 1 2
1 1 1
0 1 2
10 8
3 3 1
0 3 2
1 2 0
1 1 2
0 3 0
0 0 2
0 2 2
2 0 3
0 0 3
0 2 1
10 3
1 3 1
3 3 0
3 1 2
1 1 1
3 3 2
1 0 2
2 0 3
1 2 3
3 2 2
0 2 3
10 7
1 1 1
2 2 1
0 1 1
2 1 2
2 1 0
0 1 2
2 1 1
0 2 1
2 2 2
0 2 0
10 4
0 0 0
0 2 1
0 0 2
1 1 0
0 1 1
1 2 1
2 0 1
0 1 2
2 1 0
1 1 1
10 6
0 0 3
0 2 0
3 0 2
2 0 3
1 2 0
0 3 3
2 3 3
1 1 2
0 1 1
0 1 3
10 5
1 0 2
3 2 1
0 2 3
0 0 1
3 2 2
0 2 0
2 3 0
2 2 2
0 0 3
0 3 0
10 2
1 2 1
2 1 2
2 1 0
2 2 1
0 2 0
1 0 0
1 1 1
0 2 1
0 1 1
1 0 2
10 7
2 1 2
3 0 0
1 2 3
0 0 0
1 3 3
2 3 0
1 2 0
0 3 2
2 3 3
2 0 2
10 3
0 1 0
1 1 0
0 2 2
0 0 0
0 0 2
1 0 2
2 0 0
1 2 0
0 1 1
2 1 0
10 6
0 1 3
3 2 3
2 3 3
3 3 1
3 1 1
1 1 0
0 3 1
0 2 3
0 0 3
3 0 2
10 8
2 2 3
3 0 1
0 3 3
1 1 2
1 1 3
1 0 3
3 2 1
3 0 2
3 2 3
1 1 1
10 8
0 2 2
1 0 0
0 1 0
2 0 2
2 1 0
1 0 1
2 2 2
0 2 0
1 0 2
1 1 2
10 3
2 2 2
1 0 0
3 3 3
0 1 0
1 1 0
1 3 0
0 2 0
2 3 1
3 2 1
0 0 0
10 3
1 2 1
0 0 1
0 0 0
1 2 0
2 1 0
2 0 1
2 0 2
1 1 2
1 0 1
1 0 2
10 6
2 0 2
0 0 1
2 2 0
0 2 0
0 2 1
1 1 0
2 1 1
1 0 2
1 1 2
2 2 2
10 6
2 1 1
2 1 2
0 1 0
0 2 0
2 0 0
1 1 0
1 0 0
2 0 2
0 1 2
1 2 1
10 4
2 0 1
0 1 1
2 3 2
1 2 3
0 3 3
3 2 2
0 0 3
1 2 0
2 1 0
3 1 2
10 5
2 2 1
1 3 2
2 2 0
1 3 3
1 1 0
0 2 1
2 3 3
3 3 0
2 3 1
0 0 3
10 6
2 1 1
1 0 0
1 0 2
0 0 2
2 0 0
0 2 1
1 2 2
0 0 0
1 1 2
2 2 1
10 9
3 1 0
0 0 2
1 3 0
3 3 2
2 0 1
3 2 3
3 0 3
0 1 0
0 3 2
1 1 1
10 5
2 1 2
2 1 1
2 2 0
1 0 2
2 2 2
1 0 0
1 1 0
0 1 0
0 2 1
0 2 0
10 2
1 1 0
2 3 2
2 0 1
3 0 1
3 1 0
3 2 0
2 2 2
0 3 0
2 3 1
0 2 1
10 7
1 2 1
1 0 2
2 2 1
1 1 0
0 0 1
0 2 0
0 0 0
0 1 0
2 0 0
2 0 2
10 7
3 0 3
3 1 0
1 3 0
3 2 0
1 1 3
1 0 2
0 0 0
0 3 2
1 0 3
1 2 1
10 9
1 2 2
2 0 1
0 1 2
2 0 2
0 1 0
1 0 1
0 2 1
2 0 0
0 0 0
2 1 0
10 9
3 1 0
2 2 2
3 2 0
0 0 1
2 3 2
3 2 2
2 3 0
2 0 2
0 0 3
2 0 0
10 7
2 0 1
0 2 1
2 1 1
0 2 0
0 1 1
2 0 0
0 0 1
2 0 2
2 1 0
1 0 0
10 2
0 1 0
2 2 0
0 0 2
1 2 2
0 1 2
2 0 0
2 0 2
2 1 1
1 1 0
2 0 1
10 6
2 1 0
2 0 2
2 0 0
0 2 0
1 2 0
2 1 2
2 2 2
0 0 0
1 1 0
0 0 1
10 4
2 2 0
0 1 0
0 0 0
3 0 0
1 3 0
2 2 2
1 1 3
3 1 1
0 0 3
3 0 1
10 8
3 3 1
3 0 1
0 3 2
3 0 3
0 2 3
0 3 3
2 0 0
3 2 1
0 2 0
1 3 2
10 5
3 1 3
1 1 3
1 0 2
2 0 0
0 2 3
3 3 2
3 3 3
3 2 1
3 3 0
2 0 2
10 9
1 1 2
0 0 2
2 0 2
2 1 2
0 0 0
1 2 1
0 1 0
0 2 2
2 2 1
2 0 1
10 7
1 0 1
1 0 0
1 1 0
0 1 2
1 3 1
1 1 2
0 2 3
3 2 3
2 2 3
2 1 1
10 2
1 2 1
2 1 0
2 0 0
1 2 0
1 1 2
0 1 1
0 2 2
0 0 2
1 2 2
1 0 1
10 9
1 0 2
1 0 0
0 0 0
2 1 0
2 2 0
0 2 1
1 1 2
2 0 2
2 1 2
1 0 1
10 2
3 1 2
0 3 2
1 2 2
0 0 3
0 1 2
2 1 2
0 2 2
1 2 1
1 1 0
2 1 0
10 6
3 1 0
1 2 0
2 1 0
2 2 2
2 3 2
2 1 2
1 0 2
0 3 3
0 2 0
3 1 3
10 4
0 0 0
0 2 0
1 1 0
2 2 2
2 1 2
1 0 2
0 0 2
2 0 1
2 0 2
0 1 1
10 9
0 1 0
1 2 0
1 0 0
1 1 1
0 1 2
0 0 1
2 2 0
0 0 2
2 1 0
0 2 1
10 2
3 1 1
0 0 1
1 2 1
3 3 2
2 1 1
2 0 2
2 2 3
0 1 1
2 3 1
1 3 1
10 8
2 0 1
0 1 0
0 0 1
0 2 0
0 2 2
2 2 0
0 0 0
2 0 2
2 2 1
1 1 0
10 7
0 1 2
1 0 2
2 0 0
1 1 1
1 2 2
0 0 0
2 2 0
2 0 2
0 0 1
1 1 2
10 5
2 2 0
1 1 2
1 2 2
2 1 0
2 1 1
0 2 1
2 0 1
0 2 2
0 0 0
2 0 2
10 3
2 2 0
0 0 1
2 0 0
2 1 2
1 0 1
0 2 2
1 0 0
1 2 0
0 2 0
0 1 0
10 6
0 1 1
1 1 1
2 2 2
0 2 0
1 0 1
2 0 1
0 0 2
1 0 2
1 1 2
2 2 0
10 8
2 0 1
2 2 2
0 2 0
1 3 1
2 0 0
0 1 2
1 0 1
2 3 1
0 3 0
0 2 3
10 4
2 2 2
1 1 0
0 1 1
1 0 1
0 2 0
2 2 1
0 2 2
2 2 0
0 1 0
2 0 0
10 5
2 1 1
2 1 2
1 2 1
2 2 1
0 2 0
0 1 1
0 1 0
2 2 2
0 2 1
2 0 2
10 8
0 1 1
2 0 2
3 3 1
1 3 0
2 3 1
2 0 3
0 2 1
2 1 1
3 3 0
2 2 2
10 7
2 2 2
2 0 0
1 2 3
3 0 0
1 0 3
0 2 2
1 0 2
1 1 0
0 3 2
0 3 3
10 8
0 0 0
0 2 2
0 0 1
2 0 0
2 2 0
1 2 0
2 2 2
2 1 2
2 0 2
0 2 0
10 6
1 0 1
1 2 1
1 1 0
1 1 1
2 0 2
0 0 2
2 2 2
0 1 0
1 0 2
0 2 0
10 7
0 1 0
1 1 0
2 0 1
1 0 1
2 2 0
2 1 1
2 0 2
2 0 0
1 0 2
0 2 2
10 5
0 1 1
1 0 1
2 1 0
0 2 2
2 0 2
1 1 2
2 2 1
0 1 0
2 0 1
2 0 0
10 7
2 1 3
3 0 2
1 1 1
0 1 2
2 2 0
1 2 1
2 2 1
3 1 3
0 2 3
1 2 3
10 2
1 1 0
3 2 1
1 3 2
2 3 1
1 0 3
3 3 2
2 0 2
3 3 0
1 1 3
1 0 2
10 6
0 2 1
0 0 0
1 2 1
2 1 1
1 0 1
2 2 0
0 2 2
0 0 1
1 1 2
0 0 2
10 5
0 1 1
1 0 1
0 1 0
2 1 2
0 2 1
0 2 0
2 1 0
2 0 2
2 2 0
2 1 1
10 7
3 0 2
0 2 3
2 1 0
1 1 2
1 3 1
3 2 1
2 2 0
0 1 1
2 1 3
0 3 3
10 9
0 0 1
2 0 2
0 1 0
2 1 2
2 1 0
1 1 1
2 2 1
0 1 2
1 1 2
1 0 2
10 8
0 1 0
1 0 1
1 2 0
1 1 1
1 1 2
2 1 1
0 2 2
1 0 0
0 0 2
1 0 2
10 5
2 0 0
0 1 1
1 2 0
1 1 0
1 0 1
0 2 1
2 0 2
1 0 2
0 0 2
2 0 1
10 2
1 3 1
1 1 0
0 1 1
0 0 2
3 3 3
1 3 2
1 1 2
3 2 3
3 2 2
3 0 2
10 6
1 1 0
2 3 3
0 0 0
0 0 2
0 1 2
3 1 1
3 0 2
0 1 3
3 2 0
1 3 3
10 9
0 3 0
0 2 3
0 3 2
3 3 0
1 3 0
2 3 0
0 2 1
2 0 2
1 3 2
2 0 0
10 3
2 2 2
0 0 2
2 0 0
2 1 2
2 0 1
1 1 0
0 2 1
2 1 0
1 2 1
1 0 2
10 3
1 0 0
1 1 0
0 0 0
1 1 1
0 1 2
1 2 2
1 2 0
1 0 1
2 2 0
1 2 1
10 4
0 2 3
1 2 1
1 3 0
0 1 1
0 2 2
3 3 3
2 2 3
2 2 1
0 2 1
0 3 2
10 3
1 2 2
0 3 0
2 2 2
0 3 3
0 1 3
2 2 0
0 0 1
2 0 3
0 2 0
3 3 1
10 8
0 2 1
0 1 1
0 1 2
2 2 0
2 0 0
0 2 0
2 2 1
0 1 0
1 0 1
1 2 0
10 4
1 1 2
2 0 2
1 0 1
2 2 1
0 2 1
2 0 0
1 2 2
2 1 0
0 0 2
1 0 2
10 6
3 2 0
2 0 1
3 2 2
1 3 0
1 1 2
3 0 2
0 0 0
3 0 3
1 0 1
3 2 3
10 4
0 0 2
2 0 1
2 2 0
0 2 2
0 2 1
2 1 0
2 2 2
1 2 0
1 1 2
1 0 1
10 7
1 0 0
2 0 1
0 1 2
0 2 0
1 0 1
0 2 1
1 1 1
2 2 1
2 2 0
2 1 2
10 9
0 1 0
2 1 1
1 2 1
1 0 2
3 3 0
1 0 3
2 0 1
1 1 1
3 0 0
2 1 2
10 4
0 1 1
2 0 2
0 1 2
3 0 2
3 0 1
1 3 2
0 0 3
0 1 0
2 1 3
0 0 0
10 4
3 3 3
0 1 3
0 0 3
0 1 1
1 0 1
2 0 3
3 1 1
0 2 1
3 1 3
1 1 0
10 8
0 0 2
2 2 0
2 3 1
1 3 0
0 2 1
0 3 3
1 3 1
2 1 3
2 2 3
3 0 1
10 7
2 1 2
0 2 1
2 0 1
2 0 0
2 2 1
1 1 1
1 0 2
0 1 1
2 2 0
2 1 0
10 2
2 1 2
1 1 0
1 2 2
2 2 0
0 1 1
0 2 1
0 2 0
2 1 1
0 0 0
2 0 2
10 7
1 0 1
2 1 0
2 0 2
2 2 1
0 0 1
1 2 2
2 1 2
0 1 0
0 2 0
1 1 2
10 6
1 1 3
0 0 3
2 0 1
0 3 3
1 0 3
0 2 3
0 1 3
1 0 1
0 2 0
3 1 3
10 4
1 2 2
1 1 0
2 0 1
0 2 2
0 2 0
1 0 1
1 2 0
2 2 0
0 1 1
1 1 2
10 4
2 2 2
3 0 0
2 2 0
0 0 2
1 2 0
3 0 3
2 0 1
2 3 3
2 3 0
1 0 0
10 6
1 0 1
0 2 0
0 1 0
2 0 1
1 2 0
0 0 2
2 1 2
2 0 2
0 1 2
1 0 2
10 7
2 3 2
3 3 2
0 1 2
2 2 2
0 3 0
1 2 3
0 0 0
2 2 3
1 2 0
3 1 1
10 7
1 0 0
0 1 0
1 1 2
2 2 0
2 2 2
0 1 2
2 1 0
2 1 1
1 2 2
1 0 2
10 7
0 3 3
1 0 0
0 2 1
2 3 2
0 1 2
3 2 1
1 1 0
1 3 0
3 3 0
0 2 2
10 8
2 1 1
2 0 1
1 0 0
0 1 2
1 1 0
0 0 1
2 1 2
0 0 2
2 0 2
1 2 0
10 4
1 2 1
3 2 1
2 2 0
1 0 3
0 0 3
0 0 0
0 0 2
0 1 0
2 0 2
2 0 3
10 3
0 2 0
0 0 0
2 2 0
2 0 2
1 1 1
1 1 2
0 2 2
1 1 0
1 2 0
2 1 2
10 9
3 0 0
0 2 3
1 0 3
1 2 2
1 0 2
0 1 0
3 1 3
3 1 0
3 1 2
3 3 2
10 8
0 2 0
1 1 2
0 2 2
1 1 1
1 2 1
0 0 2
0 1 0
0 0 0
2 0 2
0 1 2
10 3
1 1 0
0 2 0
0 1 3
1 3 3
1 1 2
1 2 0
0 3 3
0 1 2
3 3 0
0 2 2
10 3
1 0 2
2 1 1
0 1 2
0 0 0
2 2 0
0 0 1
0 2 2
1 2 1
2 1 2
1 1 0
10 4
1 0 0
0 2 1
1 0 2
2 2 0
0 1 0
1 2 1
0 2 0
2 0 0
2 2 1
0 1 1
10 6
0 3 3
3 2 3
0 2 1
3 1 3
3 1 2
3 1 1
1 1 3
2 2 3
1 2 0
0 1 3
10 2
2 2 0
3 3 0
1 3 2
2 1 1
3 2 3
0 2 3
3 2 0
2 3 0
2 0 2
3 1 3
10 7
2 2 1
0 2 1
1 0 0
0 1 0
1 0 2
1 1 1
2 2 2
2 0 2
1 0 1
1 1 2
10 2
0 1 1
2 1 0
2 0 2
1 0 1
2 0 1
2 1 1
2 2 1
0 2 2
1 2 1
0 2 0
10 3
0 2 0
2 1 2
1 2 1
1 2 0
2 1 1
2 2 2
0 1 1
2 0 1
0 2 2
0 2 1
10 4
3 1 1
3 1 0
1 2 1
1 0 1
0 2 3
1 0 3
0 2 2
0 1 3
3 2 3
0 1 1
10 6
1 0 2
2 2 2
0 2 2
1 1 2
2 2 0
2 0 1
0 0 2
1 2 1
1 1 1
0 1 2
10 5
2 1 2
1 0 0
2 1 0
1 2 1
2 1 1
0 1 2
2 2 1
0 2 1
0 1 1
2 0 2
10 2
2 0 0
2 0 1
0 2 0
0 1 0
2 1 0
0 0 1
0 0 2
1 0 1
1 2 1
0 0 0
10 6
2 3 3
3 0 1
0 1 0
2 1 2
0 0 1
0 1 1
2 0 2
1 2 3
3 1 3
0 1 2
10 4
0 1 0
0 0 1
1 0 0
2 0 0
2 1 1
2 0 1
0 2 1
2 1 0
1 0 1
2 2 0
10 2
0 1 0
0 1 2
0 2 0
2 1 2
2 0 2
1 0 0
2 1 0
1 1 0
1 0 2
2 2 0
10 9
3 3 3
3 2 0
2 3 0
3 0 1
0 1 3
1 3 2
0 2 0
3 3 2
2 3 1
2 1 3
10 2
0 1 1
1 0 0
3 0 3
2 1 1
2 2 1
1 2 1
3 1 0
3 0 0
2 0 1
0 0 0
10 5
3 2 0
2 2 2
1 2 1
1 3 3
2 0 0
2 0 1
1 3 1
3 2 3
3 3 0
0 2 2
10 6
0 0 0
1 2 2
2 2 1
2 0 1
0 1 0
2 1 2
2 0 2
1 1 0
2 1 1
1 2 1
10 9
3 2 2
0 2 2
2 3 2
3 3 2
3 3 0
1 2 3
0 1 2
2 0 2
1 2 2
0 3 0
10 3
0 2 2
0 1 1
2 0 0
0 2 0
0 0 1
1 0 1
0 2 1
0 1 0
1 2 0
1 1 1
10 4
1 0 2
2 1 2
2 1 1
0 2 0
0 2 1
1 2 1
0 1 2
2 2 0
1 2 0
1 0 1
10 7
2 0 3
0 2 1
3 1 0
2 2 1
2 0 0
0 3 0
3 1 1
0 2 0
0 0 2
0 3 2
10 9
2 3 0
1 3 1
2 0 2
0 2 3
3 3 1
0 0 0
0 3 0
2 3 2
3 3 2
0 1 0
10 3
2 1 2
1 2 2
0 2 0
1 0 2
2 0 0
0 0 2
1 0 1
2 1 0
1 1 0
0 1 2
10 3
1 1 0
0 2 0
2 0 1
1 2 1
0 2 2
2 2 1
2 1 0
1 0 2
2 2 0
2 0 2
10 5
1 2 0
2 1 2
1 2 2
2 0 0
1 2 1
0 2 1
0 0 1
1 0 1
2 2 1
0 2 2
10 9
2 0 2
1 2 1
0 0 2
3 0 1
3 0 2
0 3 2
0 1 1
2 3 3
2 1 1
3 1 3
10 8
1 0 1
2 0 1
1 2 0
1 2 1
1 2 2
1 0 2
0 2 0
1 1 2
0 0 2
2 2 0
10 5
2 2 2
1 1 0
1 0 0
1 2 0
2 0 1
1 0 1
0 1 2
0 1 1
2 2 1
1 2 1
10 4
1 0 2
3 3 2
2 3 0
0 2 0
3 0 0
0 3 1
1 2 3
0 0 0
1 3 1
2 0 0
10 8
0 2 2
1 1 1
1 0 2
2 0 2
0 1 1
0 0 2
1 2 0
1 0 1
2 0 0
2 1 2
10 3
2 0 3
0 1 2
1 3 1
2 0 1
3 1 2
1 2 2
1 0 3
1 3 3
3 3 0
3 2 2
10 5
1 2 2
0 1 0
2 0 2
1 2 1
1 0 2
0 0 2
2 0 1
0 0 0
0 2 2
2 2 2
10 4
3 1 1
1 2 1
1 0 0
2 2 1
1 1 3
3 3 2
0 3 3
0 2 0
2 1 1
3 3 1
10 2
3 2 3
0 3 2
0 1 2
1 2 0
3 3 0
2 1 3
3 0 0
2 1 0
2 2 2
1 3 2
10 5
0 2 1
0 3 3
0 1 1
0 3 2
0 3 1
1 1 0
3 0 3
2 0 1
2 3 1
1 3 0
10 6
0 2 0
2 2 2
2 1 0
0 1 1
0 0 1
2 0 0
0 0 2
1 2 0
0 1 0
1 0 1
10 6
2 0 1
2 1 1
1 2 2
2 2 0
1 1 1
0 0 1
1 1 2
2 1 2
1 2 0
2 0 2
10 8
3 2 2
1 1 0
3 0 2
0 1 3
0 0 2
1 1 3
1 2 0
0 3 2
3 1 0
3 3 2
10 6
1 2 1
2 2 1
0 0 0
2 1 0
0 2 2
2 1 1
1 1 1
0 0 2
2 2 0
2 0 2
10 5
1 3 2
3 1 0
3 2 3
2 1 3
2 1 2
3 3 1
0 1 1
3 3 2
1 0 2
0 3 0
10 4
2 1 2
1 0 0
0 1 0
1 1 0
0 1 1
0 0 2
0 1 2
2 0 2
1 1 1
2 2 2
10 6
2 0 3
3 3 3
1 1 3
2 2 2
3 0 2
2 0 2
3 3 1
2 2 3
2 0 1
1 2 2
10 8
1 1 2
2 1 2
0 1 1
3 2 1
3 2 3
0 2 3
0 3 1
2 0 3
3 0 3
2 1 1
10 9
1 1 2
2 2 0
0 0 0
2 1 0
0 2 0
0 0 2
1 1 1
2 0 2
2 2 1
0 1 2
10 2
0 0 2
1 2 0
0 1 0
2 1 2
0 2 2
2 0 0
0 0 0
0 2 0
2 0 2
2 1 1
10 8
3 2 2
1 2 1
1 2 0
3 3 1
3 2 0
1 3 3
3 2 3
2 3 2
2 0 3
2 1 3
10 3
2 2 2
3 3 0
3 2 1
3 1 0
0 0 2
0 3 3
1 3 0
3 0 2
1 3 1
2 1 1
10 5
3 0 0
0 3 2
0 0 0
3 3 3
0 2 2
0 2 3
1 1 0
0 1 0
3 0 3
0 1 1
10 9
2 2 0
0 1 1
1 2 0
2 0 1
1 1 0
2 1 2
1 0 0
0 2 2
1 1 1
0 0 1
10 9
3 2 0
1 2 2
0 3 0
0 3 3
3 0 1
0 0 1
1 3 3
3 2 1
3 3 0
0 0 2
10 3
1 2 2
2 1 1
2 1 2
1 0 0
0 2 0
0 1 0
1 2 1
0 2 2
0 0 0
2 2 0
10 8
0 1 1
0 0 0
1 0 3
3 2 0
0 2 0
2 0 0
0 3 2
0 3 0
1 2 2
3 3 0
10 6
0 2 2
2 0 2
3 3 1
1 3 0
0 0 2
2 3 0
3 3 2
1 1 1
0 3 0
0 1 2
10 6
0 3 3
0 0 1
3 0 2
2 1 1
3 3 2
1 2 1
3 3 1
1 3 2
2 1 2
0 1 1
10 2
2 2 3
0 1 2
3 2 1
3 0 1
0 2 2
2 2 2
0 2 1
2 0 1
2 0 3
1 1 2
10 7
1 1 2
0 1 2
1 2 0
2 1 1
0 0 1
0 1 1
0 2 1
0 0 2
2 0 1
2 0 2
10 8
2 2 2
2 2 0
0 1 1
2 0 1
1 3 1
3 1 1
0 1 0
1 2 2
2 1 3
3 3 2
10 3
1 0 1
2 2 2
2 1 0
1 0 0
2 0 2
0 2 1
1 1 0
1 1 2
0 0 0
1 0 2
10 4
3 3 1
1 3 0
2 0 1
3 0 0
2 2 0
0 3 0
3 3 0
1 2 0
2 3 1
0 2 1
10 8
1 2 2
2 1 2
1 2 1
0 1 2
0 0 1
1 1 1
0 2 0
0 1 0
2 2 1
2 2 0
10 8
0 2 3
3 1 3
1 3 2
2 1 2
1 1 3
2 0 2
3 2 2
2 3 2
2 3 3
3 1 0
10 2
0 3 2
3 3 2
3 0 1
2 2 0
3 1 1
2 0 2
0 0 2
1 1 3
1 1 2
0 0 0
10 7
0 1 1
2 1 2
3 2 2
3 2 1
0 1 0
2 2 3
2 2 2
1 2 1
0 3 2
1 0 2
10 5
1 0 0
2 0 1
0 1 2
2 1 2
0 0 2
1 1 1
0 2 1
0 2 2
0 1 0
1 0 2
10 8
0 0 3
2 3 3
1 3 1
0 3 3
2 3 2
3 1 1
1 2 1
2 2 2
2 1 2
0 1 2
10 8
2 0 1
1 1 3
1 3 0
0 2 1
3 3 3
2 0 2
3 2 0
0 3 2
3 0 2
2 3 1
10 9
1 2 0
0 0 2
1 0 0
2 0 3
0 3 2
0 3 0
1 1 2
3 2 3
1 2 3
3 1 0
10 8
3 1 3
0 3 2
2 3 1
1 0 2
2 3 2
2 0 3
3 2 2
3 1 2
3 0 1
1 2 3
10 7
0 0 1
0 1 0
2 3 3
0 2 1
2 2 2
3 3 2
0 2 3
0 3 1
0 0 3
3 3 3
10 7
1 2 1
0 3 1
2 3 1
2 0 1
3 3 1
0 0 0
2 2 1
2 1 2
2 1 3
3 1 0
10 7
0 2 1
0 0 1
1 1 0
2 2 1
2 1 2
2 0 0
0 1 0
1 1 2
2 2 2
2 1 1
10 2
0 0 3
1 2 1
1 0 0
2 2 0
2 1 2
0 3 3
3 0 1
2 1 0
0 0 2
3 1 0
10 4
1 0 1
0 1 2
2 3 3
3 0 2
2 2 3
0 0 1
3 3 3
3 0 0
0 3 3
3 3 0
10 9
0 2 2
2 2 1
1 2 1
1 0 2
0 1 2
1 0 1
1 1 1
2 1 0
2 0 2
0 1 1
10 5
2 0 1
1 2 2
2 2 2
2 1 0
1 0 0
0 0 2
2 2 0
1 1 1
0 1 1
2 0 2
10 3
0 0 0
1 2 2
2 1 0
1 2 1
0 0 1
2 1 2
2 0 0
1 0 0
0 1 2
2 2 0
10 9
0 1 1
0 0 1
0 2 1
1 1 2
2 3 0
3 0 0
2 2 3
2 3 2
0 3 3
1 0 0
10 7
2 0 1
2 1 0
2 2 2
2 2 0
1 2 1
2 0 2
0 0 1
1 1 1
1 0 1
1 1 2
10 7
2 3 2
3 0 1
3 0 2
0 2 1
0 1 0
0 3 1
0 3 0
0 0 2
0 2 3
3 1 3
10 9
2 0 3
1 3 2
0 3 2
2 2 2
0 1 3
1 0 0
2 2 0
3 3 0
2 3 3
3 1 1
10 7
2 1 0
0 2 1
1 0 0
0 0 2
2 1 2
1 2 2
0 0 1
1 2 1
2 0 1
2 2 2
10 8
1 2 0
0 1 0
1 2 1
0 1 1
0 0 2
0 2 2
1 2 2
2 2 1
2 1 1
0 0 0
10 7
0 1 1
3 2 0
0 1 3
1 1 3
3 3 1
0 2 3
0 2 0
1 3 2
3 0 1
3 0 3
10 4
1 1 2
1 0 2
0 0 1
0 1 2
1 0 1
2 2 1
0 2 1
2 1 1
1 1 0
1 2 0
10 9
2 0 1
0 0 0
2 1 2
1 0 2
0 2 0
2 0 0
0 0 2
0 0 1
2 1 0
1 1 0
10 7
2 0 2
0 3 1
0 1 2
3 0 3
0 1 3
1 0 2
2 2 0
1 0 3
2 0 3
2 2 2
10 5
1 1 1
2 2 0
3 3 2
3 3 3
1 1 0
1 0 0
0 2 2
0 3 1
2 2 2
2 1 3
10 8
0 1 0
0 1 2
2 0 1
1 0 1
2 2 1
1 1 1
1 0 2
0 2 1
1 1 0
0 0 0
10 3
2 1 0
0 0 0
1 0 1
2 2 2
0 1 1
1 2 0
2 1 1
0 2 0
2 2 0
0 2 1
10 7
3 0 2
0 0 2
1 3 1
2 1 0
2 1 3
0 3 3
3 2 1
1 2 0
2 2 0
0 3 0
10 3
1 0 2
0 1 0
2 1 0
0 2 0
0 2 2
2 0 2
0 1 1
1 0 1
2 2 0
1 1 0
10 3
1 0 0
2 0 3
2 0 2
3 3 3
1 3 2
2 2 1
3 0 3
0 3 0
3 2 3
1 1 1
10 4
2 1 0
2 2 2
2 2 1
1 2 2
2 0 1
0 2 0
1 1 0
2 0 2
2 2 0
0 2 1
10 8
2 2 2
0 0 2
0 2 0
2 0 1
2 1 0
1 2 2
1 1 2
0 0 0
0 0 1
0 2 2
10 4
2 1 1
0 0 0
0 1 2
2 2 0
1 0 0
1 1 2
1 2 0
0 0 2
1 0 1
1 0 2
10 5
1 1 0
1 2 2
1 1 1
2 0 1
0 0 1
1 0 0
1 0 1
2 2 2
0 2 2
2 0 2
10 5
2 1 2
3 2 1
0 2 2
1 0 3
3 1 1
2 3 3
3 3 0
2 2 2
3 1 3
2 1 1
10 4
2 1 1
1 0 1
2 2 1
0 1 1
2 0 0
2 1 2
0 0 1
0 1 0
0 2 1
2 2 2
10 4
0 0 0
0 0 2
1 1 1
0 1 0
0 2 0
2 0 1
2 0 2
0 1 2
2 1 1
1 0 1
10 4
2 0 2
0 2 1
2 0 0
1 2 2
2 2 0
2 1 1
1 0 2
2 1 0
0 1 0
1 1 1
10 9
2 0 1
1 2 3
0 0 0
2 0 3
0 3 0
0 3 3
2 3 3
1 0 1
3 0 0
0 0 1
10 9
2 1 1
0 2 0
2 2 0
0 0 1
1 0 1
2 2 2
0 1 0
0 2 2
2 2 1
0 2 1
10 7
3 0 0
1 0 0
0 0 2
1 3 2
2 2 2
3 1 0
0 1 1
3 2 2
3 0 3
0 3 0
10 7
0 3 2
2 2 3
2 0 3
3 0 0
0 1 3
3 2 3
2 3 3
0 3 3
1 3 0
2 2 0
10 8
3 2 0
0 3 1
1 1 3
2 0 2
0 0 1
3 0 3
0 2 1
1 2 2
3 3 2
1 1 1
10 9
1 2 2
1 3 0
2 3 3
2 2 3
1 2 3
2 1 2
0 0 2
1 1 0
3 3 1
3 2 2
10 5
3 2 1
2 0 3
2 1 3
3 0 1
1 0 1
1 3 2
3 2 2
0 2 1
0 1 0
0 3 2
10 2
1 2 0
3 0 2
0 2 2
2 2 1
1 1 2
1 1 3
3 0 1
0 0 0
3 2 1
2 3 3
10 3
1 1 1
0 1 1
1 0 0
2 2 0
2 1 2
0 2 0
1 2 2
2 0 0
1 0 2
1 1 2
10 2
1 0 0
1 0 1
0 1 1
0 0 1
1 1 0
1 2 1
2 0 2
2 1 1
1 2 2
0 2 1
10 2
0 0 2
3 3 0
0 3 3
3 3 2
0 2 0
3 2 2
1 2 3
0 2 3
3 1 1
2 0 2
10 9
2 0 0
2 2 2
0 0 0
1 0 1
1 1 2
1 1 0
0 0 1
1 0 2
0 1 0
1 2 1
10 6
0 2 2
0 1 1
0 1 2
1 0 2
2 2 2
2 0 1
2 1 0
2 2 0
2 0 0
2 1 2
10 8
0 1 0
0 0 2
0 2 2
2 1 0
0 2 1
2 2 2
2 1 2
1 0 1
0 1 2
1 0 2
10 8
1 3 1
0 0 1
3 2 2
3 3 1
2 0 0
0 0 2
3 1 2
2 2 1
0 3 1
3 0 1
10 5
3 0 2
0 0 3
2 2 0
2 0 2
3 3 3
1 3 3
3 3 1
2 3 0
1 1 3
1 3 2
10 9
0 2 2
2 0 1
0 2 1
2 1 0
0 0 0
1 1 0
1 1 2
2 0 0
2 1 2
0 1 1
10 4
0 2 2
0 1 1
1 1 2
0 0 0
1 2 2
1 0 2
2 0 0
0 1 0
1 0 0
2 2 0
10 4
3 1 0
0 3 1
3 2 0
2 3 2
3 2 2
2 2 0
0 0 0
2 2 2
0 2 1
2 3 0
10 5
3 2 1
1 2 2
0 0 1
0 2 2
0 0 2
0 3 0
0 3 1
2 3 2
3 2 0
3 3 0
10 5
1 0 0
1 0 1
0 1 2
1 3 2
1 1 3
0 2 3
0 2 1
0 0 2
3 2 1
1 1 0
10 4
2 2 2
0 0 2
0 2 2
1 1 1
0 0 1
0 1 1
2 1 1
0 1 0
2 0 0
2 2 0
10 2
0 0 0
1 0 3
1 0 0
0 1 1
0 3 1
3 3 1
3 0 0
1 1 1
0 3 0
3 1 0
10 4
3 0 2
0 2 3
1 3 1
0 2 2
2 3 0
3 3 3
0 3 2
3 1 3
2 3 1
0 3 1
10 2
2 2 0
3 2 0
1 2 1
2 0 1
3 2 3
2 3 2
2 3 1
0 1 3
2 3 3
1 0 2
10 7
1 0 0
0 0 2
2 1 1
1 3 3
2 0 0
0 3 3
2 3 3
0 3 0
1 0 1
1 1 2
10 5
2 0 3
2 0 2
0 1 3
3 1 0
3 1 2
2 2 0
0 3 1
1 2 2
3 2 3
0 0 0
10 4
3 2 1
1 1 1
0 2 1
1 3 3
0 3 1
3 1 1
0 3 0
1 0 0
2 2 1
3 0 1
10 9
1 2 2
2 0 1
0 1 2
2 2 1
1 0 1
1 0 2
0 2 1
0 0 1
2 1 0
0 0 2
10 5
2 3 0
3 3 2
2 2 0
0 0 2
0 3 2
0 1 3
2 3 1
1 1 0
3 2 3
1 3 0
10 9
2 0 1
2 0 0
3 0 2
1 0 1
0 0 0
3 3 1
1 1 3
2 2 0
2 3 1
1 0 3
10 6
2 2 0
2 1 1
0 0 0
1 1 2
2 0 0
1 0 0
0 1 0
1 1 0
1 0 2
0 2 1
10 9
2 2 0
1 1 1
3 2 3
3 1 0
1 0 3
1 0 2
0 2 1
2 1 2
1 1 0
0 0 1
10 8
3 0 1
0 0 3
1 3 1
0 2 1
2 0 3
2 1 2
1 2 0
1 1 1
2 3 1
2 0 0
10 9
3 3 3
2 0 0
3 3 2
3 3 1
3 3 0
0 3 0
1 1 1
3 0 3
0 0 0
1 1 2
10 7
1 2 2
1 2 3
2 3 1
1 2 1
3 1 3
2 2 1
0 1 3
0 1 2
3 0 3
2 0 1
10 7
2 1 0
2 0 1
1 1 0
1 0 2
0 1 1
0 0 1
2 0 0
2 1 2
1 1 1
1 1 2
10 3
2 2 0
2 2 2
1 2 1
0 1 2
1 0 2
0 2 0
0 0 1
2 0 0
1 0 0
0 0 2
10 9
0 0 0
0 1 2
2 2 2
2 0 0
0 1 0
0 0 2
2 1 2
1 1 2
1 2 0
1 1 0
10 9
1 1 0
2 0 1
0 0 0
2 1 0
3 0 2
2 2 1
3 0 1
1 0 2
1 1 1
2 0 3
10 8
2 3 1
0 2 3
2 0 1
2 1 1
2 1 3
1 3 1
1 3 0
0 1 2
3 2 0
0 3 3
10 8
0 2 2
2 0 1
1 2 0
1 0 1
2 2 0
1 2 1
1 0 2
1 1 0
2 2 1
0 0 1
10 7
1 2 0
1 1 2
1 2 2
2 2 2
2 0 0
0 2 2
2 0 1
0 0 2
2 2 0
0 2 1
10 6
0 0 1
2 2 1
3 3 0
1 0 3
2 2 3
3 1 2
0 3 3
1 2 3
0 1 2
2 0 3
10 6
0 1 3
2 1 0
3 1 0
0 1 2
2 1 3
2 2 3
2 0 2
1 2 1
1 1 1
2 3 0
10 8
3 2 3
3 1 3
3 0 1
2 3 2
1 0 0
2 1 1
0 0 1
3 3 0
2 0 2
3 1 0
10 9
0 0 2
2 1 1
2 2 0
2 0 1
2 2 2
0 0 1
2 2 1
1 2 0
0 2 0
1 1 1
10 7
1 0 0
0 2 0
2 1 2
2 1 0
2 0 1
1 2 2
2 2 1
0 1 0
0 0 0
0 1 2
10 4
1 2 2
0 1 2
2 0 1
0 2 2
1 1 1
0 1 0
1 2 0
1 0 1
0 2 1
1 2 1
10 5
2 0 0
1 0 3
2 3 3
0 0 2
1 1 3
2 3 1
2 1 3
0 3 0
3 2 2
2 0 3
10 6
1 1 2
1 1 3
3 3 0
2 0 3
0 0 0
3 1 0
1 3 2
2 1 0
0 3 2
3 0 2
10 5
0 1 0
0 2 1
2 2 1
2 0 1
1 1 0
2 2 2
2 1 1
1 1 1
1 1 2
1 2 1
10 8
1 2 0
1 1 0
0 2 2
2 0 0
2 0 2
2 1 1
0 1 2
1 1 1
1 0 0
1 1 2
10 3
1 0 1
2 1 0
0 0 1
2 1 1
1 0 2
0 1 2
0 0 2
0 1 0
1 1 0
1 0 0
10 5
1 2 2
1 2 0
0 2 0
2 0 2
2 1 1
1 1 1
0 0 1
2 2 0
1 0 0
2 0 1
10 4
0 1 2
0 2 1
3 2 3
0 1 1
2 1 2
3 1 3
0 3 1
1 0 0
3 3 2
1 0 2
10 5
0 1 0
0 1 1
2 0 2
0 0 0
2 1 0
0 0 1
2 0 1
1 0 2
0 2 1
1 1 2
10 8
3 0 2
0 0 1
2 0 1
2 2 0
1 1 0
1 2 3
0 2 3
2 0 2
1 3 3
2 3 1
10 8
3 0 3
0 1 3
2 3 3
0 0 1
1 2 1
2 0 2
2 1 2
2 3 1
2 3 0
0 1 2
10 4
2 3 0
3 0 2
3 3 3
1 0 2
1 1 0
1 1 1
0 0 1
2 3 1
3 1 3
0 2 2
10 7
2 2 0
0 0 2
0 1 1
2 1 2
1 0 0
1 2 0
0 1 0
2 0 2
0 0 1
0 0 0
10 2
2 2 1
1 0 1
2 1 1
2 2 2
2 0 2
3 1 2
1 1 1
1 0 0
1 0 2
3 2 2
10 2
1 1 2
1 1 0
2 2 0
1 0 2
2 1 2
0 0 2
1 2 0
2 0 2
0 2 1
0 2 2
10 3
0 1 0
1 1 1
1 2 0
0 2 2
1 0 2
0 2 0
1 0 1
1 2 1
0 0 0
2 2 2
10 9
0 2 0
3 2 3
3 1 3
1 0 1
2 1 1
3 1 1
2 3 3
3 0 3
2 0 3
2 3 0
10 9
0 0 2
0 0 1
1 0 0
0 1 1
1 1 1
2 2 2
1 1 2
1 2 1
2 1 2
2 0 1
10 6
2 0 2
1 3 3
0 2 3
2 2 2
1 0 2
1 2 3
0 3 2
2 0 1
3 1 1
2 1 2
10 6
1 2 2
3 3 3
2 2 2
2 3 2
2 0 1
0 0 2
0 1 3
1 3 0
2 2 1
1 0 0
10 3
1 1 2
3 2 3
2 3 3
3 1 2
3 1 1
3 3 1
1 2 3
2 1 2
0 2 3
2 0 0
10 4
0 1 3
0 2 3
2 2 0
2 2 1
1 2 1
2 1 1
0 3 1
2 1 0
2 0 2
0 2 2
10 8
0 2 1
1 1 1
1 3 0
1 1 0
3 3 1
0 3 1
2 0 2
2 1 3
3 0 2
3 3 0
10 4
0 3 2
1 2 0
3 3 0
2 1 1
1 2 3
0 0 3
0 2 0
0 1 0
3 0 3
0 1 1
10 9
2 3 2
1 0 3
3 1 2
0 3 0
2 1 0
0 1 0
0 0 2
0 2 2
1 3 3
2 1 3
10 6
1 0 0
2 1 2
0 0 2
2 0 1
1 1 1
0 0 1
1 1 2
2 1 0
2 0 0
1 2 2
10 4
0 0 2
1 2 1
1 1 1
0 2 0
2 2 1
2 2 2
0 0 1
2 2 0
1 2 2
1 1 2
10 4
0 0 1
1 1 2
1 0 1
0 1 2
2 2 0
2 0 1
2 0 2
0 0 0
2 2 1
0 0 2
10 5
2 1 2
1 1 2
3 2 1
0 3 3
3 2 2
1 3 3
1 0 1
0 2 2
2 3 1
2 3 0
10 3
2 0 3
3 2 1
2 0 1
3 3 0
3 2 0
2 3 0
2 3 2
1 1 3
1 2 0
1 2 2
10 8
2 3 3
1 3 0
2 0 0
2 3 0
0 1 1
3 3 1
1 3 1
3 3 0
1 2 0
0 2 0
10 8
1 0 0
2 2 1
1 0 1
0 0 0
0 2 0
1 1 2
1 0 2
0 1 0
1 2 2
0 2 2
10 5
2 2 2
1 2 0
0 0 1
0 1 2
0 2 2
0 1 0
0 0 2
1 2 2
1 0 1
1 0 0
10 9
1 3 0
2 3 2
2 2 1
0 3 3
0 3 2
1 0 2
0 0 3
1 0 3
1 1 3
2 1 2
10 7
3 1 0
1 3 3
1 2 1
0 0 2
3 3 2
1 0 1
0 1 2
3 3 1
3 3 0
2 2 1
10 8
1 2 0
0 1 0
0 2 1
2 0 0
1 0 2
1 0 0
1 2 1
0 0 1
2 1 1
2 2 0
10 9
0 0 2
2 0 0
2 1 0
1 1 1
0 0 1
2 2 1
0 1 0
1 2 2
0 1 1
1 2 0
10 9
3 3 0
1 2 1
0 1 2
0 3 0
2 0 3
2 1 3
1 2 2
3 0 1
2 3 0
3 3 2
10 6
0 2 0
2 0 2
2 0 1
0 1 2
2 2 1
2 2 2
0 2 1
2 0 0
0 2 2
1 0 1
10 2
1 0 2
1 2 0
2 1 1
2 2 0
1 1 1
0 1 0
1 2 1
0 2 2
1 0 1
2 0 0
10 5
1 1 2
0 0 0
0 2 0
2 1 0
2 0 1
2 1 2
2 2 0
1 1 0
2 2 1
0 2 2
10 6
0 3 0
0 0 3
3 2 2
2 3 3
1 1 0
2 1 0
3 2 0
2 0 0
0 3 2
3 3 3
10 5
1 2 3
1 0 2
0 2 0
0 0 3
3 0 1
2 3 3
3 3 2
0 2 1
2 3 1
3 0 2
10 4
1 1 1
2 0 1
2 1 2
1 1 0
1 0 0
2 0 0
1 0 1
0 2 0
0 1 0
0 2 2
10 2
2 2 1
0 1 2
2 0 2
1 0 0
1 0 2
0 0 2
2 2 2
1 1 1
1 0 1
1 1 2
10 5
2 0 3
0 3 1
1 2 2
1 1 0
0 2 0
1 0 0
3 1 0
3 0 2
0 3 3
3 0 0
10 9
2 2 0
0 1 2
2 0 0
0 2 3
2 2 3
1 1 2
1 0 3
1 3 1
0 3 1
3 1 3
10 9
0 0 3
2 3 0
3 0 2
3 2 1
1 1 3
1 3 0
3 3 0
1 2 3
1 0 1
3 2 3
10 9
0 1 1
1 2 2
1 1 3
2 0 1
0 2 2
1 2 1
2 1 2
2 1 3
0 0 0
2 2 1
10 8
1 1 2
2 1 0
2 2 2
2 2 1
0 1 1
2 1 2
1 2 1
0 1 2
1 1 1
1 2 0
10 3
2 0 3
3 1 1
0 3 0
2 3 3
1 3 3
0 0 3
0 3 2
3 1 2
0 1 2
0 1 3
10 6
2 2 1
1 1 0
0 1 1
0 0 2
2 1 1
0 2 1
0 2 2
2 2 0
2 2 2
1 0 2
10 5
0 2 0
0 3 1
2 2 3
3 1 0
2 1 3
3 0 2
1 3 0
1 3 1
2 1 0
2 0 2
10 7
2 2 0
2 2 1
3 2 3
3 2 2
2 0 2
1 3 2
2 2 3
0 0 2
1 2 3
3 1 2
10 2
3 1 1
1 3 2
0 1 2
3 1 0
1 1 1
3 3 0
0 2 1
0 0 3
2 1 3
0 2 0
10 9
3 0 1
0 3 2
3 0 0
2 2 3
3 3 2
2 1 3
1 1 3
2 1 1
1 2 2
2 0 0
10 7
2 2 0
2 2 1
2 1 2
1 2 0
1 2 1
2 0 2
1 1 2
1 1 1
0 2 0
1 0 1
10 5
0 3 1
0 2 1
0 0 2
3 2 1
0 2 2
2 1 0
0 3 0
0 1 1
1 0 1
0 3 3
10 6
0 2 2
2 1 1
1 2 3
1 2 2
3 3 3
1 2 0
0 1 0
3 2 2
3 3 1
2 3 0
10 2
1 2 1
0 0 0
1 2 2
0 2 1
2 0 2
1 0 2
1 0 1
0 1 0
1 1 0
0 0 2
10 8
0 1 1
2 1 0
0 2 2
1 0 0
1 1 2
2 1 1
0 0 0
2 1 2
0 2 0
1 0 1
10 6
3 2 3
3 3 1
1 3 1
0 0 1
2 3 1
2 2 1
0 1 1
1 1 0
2 1 1
1 3 2
10 5
1 0 2
1 1 0
0 2 1
2 0 2
1 1 1
1 1 2
1 2 1
1 0 0
0 1 0
2 1 1
10 4
1 2 0
2 0 1
2 2 0
2 2 1
2 2 2
2 0 2
1 1 0
1 0 2
0 1 0
1 1 2
10 5
0 2 0
2 2 2
1 0 1
1 2 1
0 0 2
1 1 1
2 0 1
0 1 1
0 0 0
2 2 1
10 6
2 2 1
1 2 0
1 1 1
2 1 0
2 0 2
2 0 0
2 1 1
1 0 0
0 1 1
0 1 2
10 6
0 0 0
2 1 0
1 2 0
1 0 0
2 0 2
2 2 2
2 2 0
0 2 2
1 0 1
0 1 1
10 6
2 0 1
0 0 2
0 0 0
2 1 0
1 0 0
0 2 0
2 2 0
2 2 1
1 1 2
0 1 1
10 7
2 1 3
1 3 1
0 2 1
1 3 3
2 0 0
2 2 2
3 3 2
3 2 0
1 2 2
2 1 1
10 9
0 2 1
1 0 1
1 0 2
2 0 1
0 1 2
2 1 0
0 0 1
1 2 1
2 0 0
1 2 2
10 3
2 1 1
0 2 2
1 2 0
2 0 2
2 2 1
0 1 2
2 0 0
1 0 2
2 2 0
1 0 1
10 2
2 0 1
3 1 1
0 0 1
2 2 1
3 3 3
2 0 3
1 2 2
3 3 1
3 1 3
1 0 1
10 2
3 1 1
2 0 3
3 1 2
3 3 1
1 0 2
2 1 0
1 2 0
0 1 1
0 2 1
1 2 1
10 9
0 1 1
1 1 0
1 1 1
1 2 2
1 0 2
2 0 2
0 1 2
2 0 0
1 2 1
2 2 1
10 7
1 1 1
0 1 2
2 2 1
0 0 0
0 0 1
0 2 1
2 2 2
1 0 0
0 2 0
2 1 0
10 4
2 0 3
2 2 3
1 3 3
0 2 3
1 2 2
2 2 2
3 0 1
1 3 1
0 0 0
0 3 3
10 4
2 2 1
1 1 2
2 2 2
3 2 0
1 1 1
3 0 1
2 0 1
2 0 0
3 1 3
2 3 3
10 9
1 2 1
1 1 0
2 2 1
1 0 0
2 0 2
1 1 1
0 2 0
0 1 2
2 2 0
1 1 2
10 3
1 1 1
1 0 1
1 2 1
1 1 2
0 0 1
1 0 2
2 1 0
0 2 1
1 2 2
2 0 1
10 8
0 2 0
2 0 2
1 0 0
0 2 1
0 2 2
2 1 2
1 2 1
2 1 1
2 0 1
1 1 0
10 3
2 2 3
1 0 3
0 0 3
0 1 0
3 0 3
1 0 0
0 0 1
3 0 1
0 3 2
0 1 1
10 8
0 1 2
2 0 1
2 1 1
1 2 1
2 2 0
0 2 1
2 0 2
0 0 2
0 2 2
2 0 0
10 6
1 1 0
3 3 0
2 1 3
2 1 1
1 3 2
0 2 1
0 3 0
3 3 1
1 0 1
2 3 2
10 8
2 0 2
0 0 0
1 2 2
1 0 2
1 1 2
0 0 2
0 1 1
2 1 1
1 0 1
2 0 1
10 8
1 1 2
0 1 1
1 2 0
0 1 0
1 0 0
1 1 1
1 0 1
2 2 1
1 1 0
2 2 0
10 8
1 2 1
2 0 1
0 2 0
0 2 2
1 0 1
2 2 2
1 1 1
1 0 2
1 2 2
0 1 0
10 6
1 0 2
1 2 2
0 0 2
2 2 0
2 1 1
2 2 1
0 1 1
1 2 0
0 2 0
2 1 0
10 3
2 1 2
1 0 1
2 1 0
2 0 0
0 1 2
1 1 0
2 0 2
0 2 0
0 1 0
1 0 0
10 2
3 2 1
0 3 1
0 2 0
1 3 0
0 2 3
3 1 0
2 0 3
3 2 2
0 1 1
1 3 2
10 3
0 2 1
0 2 0
1 1 1
2 1 2
1 2 1
0 0 1
0 0 2
2 2 2
1 0 1
0 1 2
10 8
1 0 0
2 1 0
0 2 0
0 1 2
0 0 0
0 1 0
1 2 2
2 0 2
2 2 2
1 1 1
10 5
1 0 2
2 0 2
0 2 0
1 0 1
0 1 1
2 0 1
0 1 2
2 1 0
1 1 2
0 2 2
10 2
1 2 1
1 0 1
2 1 2
1 0 0
1 1 1
2 1 1
0 1 1
0 0 1
2 2 2
1 0 2
10 7
0 2 0
0 0 2
1 0 2
2 1 1
2 2 2
2 0 2
1 0 0
1 1 0
0 1 2
0 1 1
10 5
0 2 0
2 2 0
1 1 2
2 1 2
0 2 1
1 2 2
2 0 0
1 0 0
2 1 0
2 1 1
10 4
2 1 1
0 0 0
1 2 2
1 0 1
2 0 0
1 1 2
2 0 1
1 2 0
0 1 2
1 1 0
10 4
0 1 0
2 1 2
1 0 1
1 2 2
1 2 1
0 0 1
1 1 1
2 0 2
2 1 0
0 0 0
10 4
1 2 0
2 1 1
0 2 2
1 0 0
2 2 2
0 1 0
0 0 0
1 1 1
1 2 2
0 2 0
10 9
0 1 0
0 3 1
1 1 0
1 1 1
2 0 3
3 0 1
0 1 3
0 1 1
2 3 1
2 1 2
10 3
0 3 0
0 1 0
3 3 2
2 2 2
2 2 3
3 0 2
2 1 0
3 0 0
2 2 0
0 3 1
10 2
1 0 1
1 1 0
0 3 2
0 3 0
2 2 2
2 3 3
0 1 1
3 0 3
1 0 0
1 3 1
10 9
2 1 2
3 1 3
0 1 1
3 3 2
0 0 1
2 3 2
1 0 0
3 0 3
2 2 1
3 1 2
10 2
0 2 0
0 2 1
1 0 1
2 1 2
2 0 0
2 1 0
2 2 0
1 1 2
1 2 0
2 0 2
10 5
1 0 3
1 1 1
3 1 2
1 3 2
0 2 3
0 1 3
3 3 3
0 0 1
3 0 3
1 0 2
10 5
0 2 3
0 1 2
3 0 1
3 0 3
3 1 0
2 1 3
3 3 2
0 1 3
1 0 2
3 3 1
10 8
0 0 0
2 1 0
0 0 2
2 2 1
0 1 2
1 0 0
2 0 0
1 2 1
1 1 0
0 1 0
10 8
3 1 3
0 3 0
1 0 2
0 3 2
2 3 3
3 1 0
2 1 0
0 0 1
2 2 0
2 1 1
10 8
2 2 0
2 2 1
0 1 0
1 2 0
2 2 2
2 1 1
0 0 1
1 2 1
1 2 2
0 2 1
10 5
2 1 1
1 2 1
0 1 0
1 2 0
2 1 0
0 1 2
1 2 2
0 2 0
2 0 1
2 0 2
10 9
1 2 1
1 1 0
0 1 0
2 1 1
0 2 2
1 0 2
2 1 2
0 2 0
0 0 0
2 2 2
10 8
1 2 0
3 0 1
1 1 2
2 1 0
0 1 2
1 0 2
0 1 1
2 3 2
2 2 2
1 0 1
10 9
1 2 2
0 0 1
2 1 2
1 1 1
0 0 0
2 0 1
1 0 0
0 1 1
0 1 0
0 0 2
10 8
2 1 1
1 1 0
2 2 2
2 0 0
1 0 0
2 1 2
1 2 0
1 1 2
1 0 2
0 1 0
10 5
2 0 0
2 3 1
2 1 1
3 0 2
0 1 3
0 3 0
1 2 2
2 3 3
1 0 0
0 1 0
10 7
1 2 2
2 0 2
2 0 1
2 1 2
2 2 1
0 1 2
1 1 2
0 2 2
1 2 0
0 1 0
10 7
1 0 1
0 2 2
1 0 0
0 1 0
1 2 0
1 0 2
2 0 2
1 1 1
2 0 1
1 1 0
10 7
0 1 3
1 3 3
3 0 3
3 2 3
3 1 2
2 2 3
2 0 2
3 0 0
2 0 0
3 0 2
10 6
2 1 1
1 1 0
1 1 2
0 0 2
1 2 0
0 1 0
2 2 2
2 0 1
0 0 1
2 2 1
10 7
0 0 0
1 3 2
3 0 1
1 2 2
1 1 3
0 1 1
2 2 2
3 3 0
2 1 1
3 2 2
10 2
1 0 0
2 1 2
0 1 2
2 1 0
0 1 0
1 3 3
1 0 1
1 0 3
0 0 3
2 0 1
10 6
1 2 3
0 2 1
0 0 3
2 3 1
1 2 1
3 1 3
3 3 2
0 2 3
0 1 3
1 3 2
10 9
0 2 3
3 2 2
2 1 0
2 3 3
1 0 1
2 3 2
0 1 3
0 0 3
1 1 0
1 0 0
10 7
0 1 2
1 0 1
0 0 0
1 1 0
2 1 0
2 2 1
1 1 1
1 2 2
2 0 0
1 1 2
10 8
2 0 1
2 0 2
0 3 3
2 2 3
1 0 2
3 2 0
2 2 2
1 2 3
3 2 2
1 0 0
10 8
0 0 2
2 3 3
1 2 0
3 1 0
0 2 1
1 2 1
0 2 0
3 0 1
2 1 1
1 3 2
10 2
2 1 1
1 0 0
1 1 2
3 2 2
2 2 0
2 1 3
3 2 1
0 2 2
0 1 2
0 3 2
10 6
0 1 0
0 0 1
1 0 0
1 1 1
0 0 0
0 1 2
1 2 0
1 2 2
1 0 2
0 1 1
10 4
0 1 0
2 0 1
1 0 1
2 0 0
1 0 0
1 1 0
0 2 2
1 1 1
2 2 1
1 2 1
10 2
2 0 0
0 2 1
1 2 0
3 3 3
0 1 2
3 2 1
0 1 0
2 3 3
3 0 3
1 1 2
10 9
1 0 2
0 1 0
2 0 0
0 2 0
1 2 2
2 1 1
2 2 0
1 1 2
2 0 1
2 1 2
10 8
2 0 1
2 1 0
3 2 1
2 1 2
0 0 1
2 0 3
1 1 1
2 1 3
3 1 0
3 1 2
10 8
0 0 2
1 0 1
2 1 0
1 2 2
0 0 1
2 2 2
2 0 0
0 1 2
0 2 1
2 2 0
10 4
3 0 1
1 1 3
3 0 3
1 0 1
3 1 2
0 0 0
0 1 3
3 2 0
2 2 3
1 0 0
10 3
2 2 0
2 3 1
0 0 3
1 1 2
2 1 3
3 1 2
3 1 3
2 2 1
3 0 1
1 3 3
10 5
0 2 3
3 2 0
3 1 0
3 0 2
0 2 0
0 3 3
3 0 3
0 1 0
3 0 0
2 0 1
10 8
2 1 0
0 0 0
0 2 0
0 1 2
2 1 1
2 2 1
1 0 2
0 1 0
2 0 1
1 0 1
10 6
1 3 0
0 1 2
2 2 2
1 1 0
3 1 2
2 3 1
3 2 3
3 3 0
1 3 1
0 0 2
10 3
0 0 1
2 0 0
2 0 2
0 0 0
2 1 1
1 2 0
2 2 1
1 2 2
0 1 2
1 0 0
10 8
0 2 1
2 2 0
0 1 1
0 2 2
0 0 1
2 2 2
0 0 2
1 2 1
1 0 2
2 1 1
10 6
0 1 2
0 0 0
2 2 0
0 1 1
2 2 1
1 0 0
1 2 0
1 1 2
0 0 1
1 2 1
10 4
0 2 1
0 0 1
0 0 2
2 1 1
0 1 2
2 2 0
0 2 2
1 1 2
1 0 1
1 1 1
10 6
0 2 0
1 2 1
2 2 0
2 1 0
2 2 1
1 2 2
0 0 1
0 1 1
0 1 2
1 1 2
10 4
1 0 3
2 1 3
0 2 0
0 0 0
0 2 3
1 2 3
3 1 1
1 1 1
2 3 3
2 0 1
10 7
2 0 2
2 0 1
2 1 0
0 1 0
2 1 2
2 0 0
0 2 0
0 1 1
1 2 2
1 0 1
10 4
2 0 1
0 3 1
0 1 1
1 3 2
1 1 2
3 1 2
3 0 0
1 0 2
3 3 2
2 1 1
10 3
0 2 0
0 0 0
2 0 1
1 0 0
1 0 2
2 1 2
1 2 1
0 0 2
0 0 1
0 1 0
10 9
3 1 0
3 0 2
3 2 2
0 2 0
3 3 0
0 1 1
3 0 0
1 1 0
3 2 1
3 0 1
10 3
0 0 1
0 0 0
1 1 1
1 2 2
1 2 1
2 1 2
1 0 0
2 1 1
0 1 0
2 2 2
10 4
0 1 1
2 0 1
2 1 1
0 1 2
1 2 1
0 0 2
1 1 0
2 2 1
2 2 0
0 0 0
10 4
2 1 2
2 2 0
1 0 1
1 0 2
0 1 2
0 2 1
0 0 0
1 2 2
0 0 2
1 2 0
10 6
0 2 0
3 1 2
0 3 3
0 1 0
0 3 2
1 1 2
3 2 2
3 0 1
3 2 1
1 0 3
10 7
0 1 2
0 0 2
2 0 2
0 3 1
2 1 2
2 3 0
0 1 1
3 1 2
1 3 0
3 3 3
10 4
0 1 3
2 0 3
1 0 2
1 1 2
3 0 2
3 2 1
1 2 1
3 1 0
3 0 3
2 0 0
10 6
2 0 2
1 1 0
0 2 0
1 0 1
2 2 1
0 1 0
0 2 2
1 0 2
2 0 0
1 0 0
10 8
2 3 3
2 1 1
2 2 0
1 0 1
1 3 0
0 3 0
0 0 1
3 2 1
3 0 3
3 0 2
10 7
1 2 2
1 2 1
1 2 0
2 0 0
0 0 0
2 1 2
1 0 1
0 1 2
2 1 1
0 0 1
10 9
2 2 1
0 1 1
1 2 0
2 1 1
2 0 2
2 0 1
0 1 0
1 0 0
2 2 0
0 0 0
10 9
3 2 3
1 2 2
1 3 2
2 2 3
0 3 0
3 1 1
3 3 2
2 1 3
2 0 0
2 3 2
10 7
0 1 1
2 0 0
0 1 2
0 0 1
1 0 1
1 1 2
0 0 0
2 0 1
0 2 1
2 2 0
10 5
3 0 2
2 0 3
0 0 2
2 2 1
2 3 3
0 0 1
1 1 3
3 1 2
1 2 3
0 1 3
10 2
2 0 2
2 2 2
2 1 0
1 2 2
2 0 0
0 0 0
1 0 2
0 2 2
1 1 2
0 1 2
10 2
2 1 0
1 0 0
1 1 2
2 0 2
0 1 1
2 0 0
0 2 1
0 2 2
1 2 1
2 1 2
10 7
3 0 1
2 3 1
2 0 3
1 0 0
3 1 1
1 1 0
1 3 1
3 2 3
3 1 3
0 0 3
10 7
0 2 2
0 0 2
2 1 3
2 3 1
2 0 0
3 0 3
3 1 2
3 0 1
0 3 3
3 3 2
10 9
2 0 0
0 1 2
2 2 0
2 0 1
1 2 1
2 2 1
1 0 0
0 0 1
2 2 2
0 0 2
10 3
2 0 0
3 3 0
1 3 2
1 3 1
3 0 0
0 1 3
1 3 0
0 0 2
0 3 0
1 2 2
10 7
1 3 1
2 0 3
1 2 1
3 0 0
2 2 1
3 2 1
2 1 2
0 3 1
0 2 3
1 1 0
10 6
2 0 1
0 0 1
0 1 2
1 0 1
0 0 0
2 1 1
1 0 2
2 1 0
1 1 0
0 0 2
10 2
0 1 1
3 3 2
1 3 0
1 2 1
2 2 2
2 3 2
0 3 3
3 3 0
0 0 2
2 0 1
10 8
1 2 0
1 1 0
2 2 0
0 1 1
2 1 1
0 0 1
0 0 0
1 0 1
1 2 1
0 2 1
10 5
2 1 0
0 0 1
2 2 0
0 2 2
0 0 0
0 1 0
1 1 2
2 1 2
1 1 0
0 2 0
10 2
0 0 1
2 1 2
2 1 0
0 1 0
1 0 0
0 2 0
2 2 2
1 2 0
0 2 1
0 0 0
10 5
0 3 3
2 0 1
2 2 3
1 1 3
3 0 3
3 0 1
2 3 2
3 2 2
0 0 1
1 2 1
10 5
2 0 0
2 2 0
2 2 1
1 0 0
1 0 2
2 1 2
0 1 2
0 0 2
1 2 1
1 2 0
10 4
1 1 2
2 0 1
1 2 2
2 2 1
0 1 2
2 1 1
0 1 1
1 2 0
0 0 0
0 2 1
10 6
1 2 2
2 1 2
0 2 2
0 0 2
2 1 0
1 2 1
1 0 2
1 1 2
2 0 2
1 0 0
10 2
0 0 0
2 2 0
0 0 1
2 1 0
1 0 1
1 1 1
2 0 1
0 1 2
0 1 1
2 1 1
10 6
0 2 1
1 2 0
3 3 3
0 2 2
2 1 1
2 3 2
0 3 0
2 1 0
3 0 2
1 3 0
10 9
2 3 2
3 0 3
3 2 3
2 0 0
0 0 3
1 2 1
3 1 0
0 1 0
2 0 1
2 3 0
10 7
0 2 2
0 0 0
0 1 2
1 2 1
0 1 0
0 2 1
2 2 2
2 2 1
2 0 2
0 0 1
10 9
0 2 1
2 0 2
2 0 1
2 2 0
0 2 0
2 1 2
2 0 0
1 0 0
2 2 1
1 2 1
10 7
2 0 2
2 1 0
2 0 1
1 0 1
2 0 0
0 0 1
1 0 2
1 2 2
0 1 1
0 1 2
10 8
1 0 0
1 1 0
1 1 1
2 1 0
1 2 0
0 1 0
2 2 0
0 2 1
1 2 1
2 0 0
10 9
3 3 2
3 1 2
1 2 1
1 1 2
3 0 3
3 2 2
1 0 0
2 1 2
1 1 0
1 0 2
10 6
1 2 1
2 1 0
1 1 1
2 0 0
2 2 0
2 0 2
1 0 0
0 0 1
2 2 2
1 2 2
10 9
0 1 0
1 0 2
2 0 0
1 2 1
0 2 1
2 2 0
0 2 2
0 0 2
0 0 0
2 0 2
10 6
0 1 0
1 0 2
0 2 1
2 1 2
2 2 0
0 2 0
2 1 1
0 2 2
2 0 2
1 2 2
10 6
2 2 1
2 1 2
0 0 2
2 2 0
0 1 1
1 1 1
1 2 0
2 0 1
0 2 0
2 1 1
10 9
1 1 0
0 3 0
2 0 2
0 2 3
3 0 3
1 2 0
1 2 3
2 1 2
0 2 2
3 3 3
10 2
2 0 1
1 1 0
3 3 1
0 0 2
0 1 2
1 1 3
1 3 2
0 1 1
3 3 0
2 2 3
10 8
1 0 1
0 3 3
2 0 3
3 3 3
1 0 0
1 2 1
3 0 3
3 2 3
1 1 3
0 0 3
10 2
3 2 3
0 3 3
1 3 0
0 2 1
0 3 0
1 1 3
2 0 3
3 2 2
3 1 0
1 0 0
10 7
2 2 1
1 2 1
1 1 0
0 1 1
2 1 0
1 2 0
1 1 2
0 2 1
2 0 1
1 0 0
10 7
0 0 1
2 1 0
1 1 2
0 1 2
2 2 1
1 2 1
2 1 2
1 2 2
2 0 0
1 2 0
10 9
2 0 0
3 2 2
2 1 0
0 0 2
0 1 1
2 1 1
3 3 0
2 1 2
3 1 3
0 2 0
10 6
2 0 1
1 2 1
3 0 3
1 0 3
2 0 0
0 1 3
3 1 2
1 2 0
0 3 3
2 1 0
10 8
1 1 2
2 2 1
1 2 2
2 0 2
2 2 2
0 0 1
0 2 3
1 3 3
2 0 1
1 2 1
10 5
1 1 2
0 2 2
2 0 1
2 0 0
0 1 2
0 1 1
1 2 2
2 2 1
1 0 2
0 0 1
10 6
2 3 0
1 0 1
0 1 1
1 0 0
3 3 2
0 2 3
2 2 3
2 1 1
2 3 1
0 3 0
10 5
3 3 0
3 2 1
0 0 1
0 0 2
2 0 0
0 0 3
3 1 3
2 1 2
0 1 0
1 3 2
10 6
1 1 2
0 3 2
0 0 3
3 0 0
3 3 1
2 2 0
1 1 3
1 3 0
3 0 2
0 1 3
10 7
2 1 0
1 2 1
1 1 2
1 1 1
0 2 1
2 2 0
1 0 2
1 1 0
0 1 2
2 2 1
10 3
2 3 3
3 0 1
2 3 0
2 2 0
1 1 3
0 1 3
2 0 1
0 3 0
2 0 2
2 1 0
10 4
1 2 1
0 2 2
0 0 1
1 1 2
2 1 2
2 0 0
1 2 2
1 2 0
2 2 0
1 1 0
10 6
2 2 0
2 1 2
0 2 0
2 0 3
2 1 3
1 2 1
1 0 3
0 2 2
1 0 2
1 3 2
10 2
2 2 0
2 3 2
1 2 1
0 1 3
3 3 3
0 2 0
1 3 1
3 3 1
0 3 1
1 2 0
10 4
3 1 1
1 1 3
0 3 0
1 3 3
1 3 2
0 0 1
0 2 1
3 1 0
3 0 0
2 3 3
10 9
1 2 3
1 1 3
3 0 3
3 1 1
0 0 1
3 3 2
0 3 2
1 3 2
2 1 1
1 0 0
10 2
2 2 2
0 0 0
0 2 2
0 1 0
0 1 1
2 2 1
2 2 0
0 2 0
1 1 1
1 2 2
10 2
1 0 3
0 0 2
0 0 3
2 1 3
0 0 0
2 3 3
2 2 2
2 1 1
3 3 1
1 1 0
10 9
1 3 1
3 1 2
2 2 0
3 2 2
0 3 1
3 1 1
1 2 0
3 1 0
1 2 2
0 2 3
10 6
2 2 1
2 0 0
1 2 2
0 0 1
1 0 2
2 1 1
1 0 0
1 1 0
1 0 1
1 2 1
10 9
1 1 0
3 3 0
2 0 1
3 0 0
1 3 0
1 2 1
0 3 1
2 2 2
1 0 2
0 2 1
10 9
2 3 1
0 1 0
1 2 3
1 3 3
0 2 2
2 2 0
0 0 3
2 3 0
3 0 0
0 1 3
10 5
0 2 2
0 0 2
2 1 1
1 1 0
2 2 2
2 2 1
0 1 1
1 0 2
0 2 1
0 0 0
10 4
0 3 3
3 0 1
0 2 2
1 1 3
1 0 3
2 3 3
1 0 1
2 3 1
2 0 3
1 2 2
10 5
3 3 2
0 3 1
1 3 1
2 2 3
2 1 3
2 0 1
0 0 3
2 2 2
1 1 3
0 0 0
10 2
0 3 1
0 2 1
0 0 1
0 1 1
1 2 0
1 2 3
2 3 3
1 0 2
3 1 1
1 3 0
10 6
2 2 0
0 1 2
2 2 3
3 3 0
1 2 0
0 0 0
0 1 3
3 0 0
3 1 3
2 2 1
10 9
0 2 3
1 3 2
3 1 3
2 3 0
3 3 0
3 0 1
2 1 0
3 2 3
1 2 0
2 2 2
10 9
1 0 0
0 3 2
1 0 3
3 0 0
1 0 2
2 1 2
3 2 2
2 2 0
0 2 3
3 1 3
10 9
2 1 1
1 2 0
0 2 1
2 2 2
1 0 2
0 1 0
2 0 2
0 2 0
2 1 2
2 0 0
10 3
0 0 0
2 2 0
1 2 0
1 0 0
0 1 0
0 2 0
0 1 2
2 1 2
1 1 0
1 2 2
10 6
1 0 3
1 2 3
0 3 1
3 0 1
2 0 1
0 2 2
3 2 2
3 1 1
1 0 0
3 3 1
10 3
1 3 3
1 0 2
3 2 1
2 0 3
1 0 1
3 1 2
0 0 3
3 3 0
1 2 1
3 0 0
10 4
3 0 3
3 3 3
1 3 3
2 0 3
1 0 2
2 3 1
2 0 1
3 3 2
0 3 2
1 1 3
10 5
1 1 2
1 3 2
1 1 1
0 3 1
0 3 2
3 1 3
2 1 1
2 2 1
1 1 3
0 0 1
10 2
1 3 1
3 2 1
0 0 3
0 3 0
0 3 2
3 1 3
1 1 3
1 0 3
1 2 3
3 1 1
10 8
1 3 1
0 1 2
0 3 0
1 2 1
2 2 1
0 3 1
3 2 1
3 1 3
1 3 3
3 3 1
10 5
0 0 2
1 2 0
2 1 0
2 1 1
2 0 1
2 2 1
2 2 0
1 2 1
1 1 2
1 2 2
10 2
1 1 0
2 2 2
0 0 2
0 0 0
1 1 2
0 1 2
2 0 2
2 0 0
0 1 0
0 2 2
10 7
1 2 2
1 2 0
1 1 1
2 0 1
0 0 2
0 2 0
0 2 2
1 1 2
2 1 2
2 0 2
10 8
0 1 1
2 1 1
0 2 3
3 2 3
1 0 2
2 2 2
3 0 0
1 0 1
2 3 1
0 0 2
10 8
0 2 0
0 2 1
1 0 2
1 2 0
2 1 0
1 0 1
2 1 2
1 2 2
1 0 0
0 0 2
10 9
0 2 0
2 2 0
2 0 2
1 1 2
0 1 1
2 1 0
1 0 1
1 0 0
0 0 1
0 1 0
10 8
1 0 0
1 0 1
0 0 2
2 0 0
2 2 0
0 0 1
0 1 1
1 1 1
2 0 1
1 0 2
10 9
3 0 0
2 3 1
2 2 0
0 1 2
3 1 1
1 2 3
0 0 3
2 1 0
2 0 3
2 0 0
10 3
3 3 1
2 1 3
1 3 3
1 3 1
2 0 1
3 0 1
2 3 3
1 2 0
3 3 2
2 1 2
10 5
1 0 0
1 0 1
1 2 0
0 2 1
2 0 0
0 0 0
0 0 2
2 0 2
2 0 1
0 1 0
10 7
3 3 1
2 3 1
0 2 0
0 1 2
1 1 2
2 3 3
3 0 0
0 0 0
3 3 3
1 2 1
10 5
0 2 1
3 1 0
0 0 2
3 2 0
0 2 0
0 2 2
2 3 1
0 1 0
0 0 0
3 1 2
10 4
1 2 2
0 2 0
0 1 2
0 2 2
2 0 2
0 2 1
0 0 0
1 2 0
1 0 0
1 0 1
10 8
2 0 1
2 2 1
0 1 0
1 0 1
2 2 0
1 2 0
2 2 2
1 1 1
0 0 1
2 0 2
10 3
2 0 0
0 0 0
1 2 2
0 0 1
2 2 0
2 2 2
0 0 2
0 2 1
0 2 0
1 1 2
10 2
0 2 0
1 0 2
1 2 2
1 2 0
0 1 2
1 1 0
2 1 0
0 2 1
1 0 1
2 0 2
10 7
2 0 0
0 0 0
2 2 0
2 2 1
1 0 1
0 2 2
0 0 2
2 1 0
2 1 1
0 0 1
10 8
1 1 1
0 2 1
2 3 0
3 1 0
0 1 0
0 0 2
2 0 2
1 3 1
0 2 0
1 0 2
10 7
2 1 1
0 1 2
2 0 1
1 0 1
0 2 2
1 2 1
2 1 2
0 0 2
1 1 0
0 0 1
10 5
1 2 1
2 0 1
3 3 3
3 2 1
2 1 3
0 1 1
1 3 0
0 3 1
1 1 2
2 3 2
10 7
1 2 0
1 0 1
0 2 0
0 2 1
1 1 0
2 0 0
0 0 0
2 2 1
1 2 2
2 1 0
10 3
0 2 1
1 0 1
3 0 0
2 0 0
3 3 2
1 1 1
2 0 1
2 1 1
1 0 0
0 3 1
10 5
0 2 0
2 1 2
0 1 1
0 1 2
1 1 2
1 2 2
2 0 0
0 0 1
1 0 1
0 0 2
10 4
0 2 2
2 0 2
1 1 2
2 1 0
1 2 2
1 3 3
3 0 2
3 0 3
0 3 2
3 3 2
10 2
2 0 1
1 0 3
0 3 0
2 1 2
0 1 3
0 0 0
1 3 2
1 2 3
1 1 3
1 2 0
10 7
0 3 2
2 3 3
1 0 1
0 3 1
2 1 3
3 0 1
3 1 3
0 1 3
3 0 3
2 3 0
10 3
1 3 3
2 0 1
1 0 1
0 1 3
3 2 3
2 0 2
0 3 0
1 2 2
1 0 2
0 2 2
10 3
3 2 1
1 1 0
1 1 2
2 0 2
3 1 3
3 1 1
0 0 1
2 2 1
1 0 1
2 2 0
10 6
0 2 1
0 1 0
0 0 2
2 2 0
2 2 2
0 1 1
0 1 2
0 0 0
2 0 0
1 0 1
10 5
1 3 3
3 3 3
3 0 2
0 1 3
2 2 3
0 2 1
0 2 0
1 2 3
1 3 2
0 0 2
10 2
0 2 0
3 0 2
2 3 0
0 0 0
1 1 1
0 1 1
3 2 3
0 0 1
3 2 0
1 3 1
10 3
0 0 1
0 2 2
0 0 2
1 2 1
0 2 1
0 2 0
1 0 2
2 2 0
1 1 1
0 1 1
10 6
2 2 3
0 0 0
3 3 3
0 2 2
0 2 1
2 2 1
1 1 2
2 1 3
0 2 0
1 0 0
10 9
1 2 2
2 1 1
1 0 1
1 1 1
1 0 0
1 1 2
0 0 0
2 1 0
1 0 2
0 0 1
10 3
1 1 0
3 1 2
3 0 0
3 3 0
2 2 3
0 1 0
1 2 3
1 3 2
1 0 2
2 3 3
10 7
0 2 0
2 1 0
0 0 2
2 2 2
2 0 1
1 2 2
2 1 1
2 0 0
0 0 0
1 1 1
10 5
0 2 0
0 1 2
2 2 2
0 0 2
2 1 1
0 2 2
1 0 2
0 0 0
2 0 2
0 1 0
10 4
2 1 2
1 2 2
1 1 1
0 0 1
1 1 0
0 0 0
0 1 2
1 0 0
1 2 1
2 2 2
10 3
2 0 0
0 1 2
2 0 1
0 0 0
0 2 2
1 0 2
2 2 2
1 2 1
2 0 2
1 1 1
10 4
1 0 0
2 0 2
2 2 1
0 0 0
0 1 2
2 1 2
1 1 0
0 2 1
2 1 0
0 0 2
10 6
2 2 2
1 3 1
3 1 0
0 2 2
2 3 0
1 1 0
3 3 3
0 0 1
0 2 3
0 0 0
10 4
2 0 0
1 2 3
0 2 1
2 1 1
3 2 0
2 2 3
1 0 2
3 1 0
0 2 2
0 2 3
10 2
3 2 3
1 0 2
1 3 1
0 2 2
1 1 1
1 2 2
2 2 1
3 2 0
0 1 3
2 3 1
10 2
0 2 2
1 2 1
1 1 0
0 0 2
2 1 2
1 2 0
1 0 2
1 0 0
0 2 1
0 0 0
10 8
2 1 0
0 0 0
1 2 1
2 0 2
1 2 2
1 2 0
2 1 2
0 1 2
2 0 0
1 0 2
10 5
1 2 2
1 3 2
3 0 2
3 3 3
1 2 1
2 0 2
1 1 1
0 0 3
0 0 0
1 0 3
10 3
2 2 1
1 2 1
2 1 0
1 0 0
2 2 2
2 0 1
0 2 2
0 2 1
2 1 2
0 2 0
10 6
0 3 3
2 3 0
1 1 2
2 1 3
0 3 2
1 3 3
0 3 0
2 1 0
3 3 3
2 0 0
10 5
0 1 1
0 0 0
1 0 2
2 1 0
0 2 1
1 2 2
2 0 2
0 0 1
0 1 0
0 2 0
10 2
2 0 2
1 0 0
0 1 2
1 2 2
0 0 1
1 1 1
0 2 1
0 2 2
2 2 2
2 0 1
10 6
2 1 1
0 1 1
0 2 1
1 2 2
2 0 2
1 1 0
0 1 2
2 0 1
1 1 1
0 1 0
10 7
1 1 2
1 0 1
0 1 2
1 2 1
2 2 0
0 2 1
0 0 1
1 0 2
1 1 1
2 2 2
10 5
2 2 2
3 3 2
1 1 0
0 2 3
0 2 0
1 3 1
1 3 2
1 1 1
3 2 1
1 2 0
10 6
2 1 0
0 0 2
0 2 2
2 1 1
1 1 0
0 2 1
0 2 0
1 0 2
2 2 2
1 2 0
10 6
2 1 1
0 2 0
0 0 0
2 0 2
1 2 0
1 2 1
0 1 2
2 2 1
2 0 1
1 1 0
10 8
2 2 1
2 1 0
0 0 2
2 0 1
0 1 0
1 1 0
0 0 0
2 2 2
2 0 0
1 2 0
10 8
2 1 2
1 0 1
0 1 0
2 1 0
0 1 2
2 1 1
0 0 0
1 1 0
2 2 2
1 1 2
10 4
1 1 2
1 0 1
2 2 2
2 2 0
0 0 2
1 0 2
2 2 1
2 0 1
0 1 0
1 0 0
10 6
3 3 2
2 2 2
1 0 0
0 0 3
3 1 3
0 3 1
1 0 3
0 3 3
3 1 0
0 2 3
10 5
2 2 1
1 2 2
0 0 1
1 1 2
0 1 2
0 0 0
1 0 0
1 1 1
2 2 2
0 0 2
10 4
2 3 2
1 2 0
3 1 0
2 1 2
2 3 1
2 2 3
1 1 2
0 2 2
1 2 2
1 3 3
10 4
0 1 2
1 1 1
2 1 2
1 1 2
2 0 0
1 0 2
1 1 0
0 1 0
0 2 0
2 1 0
10 9
0 0 0
0 2 0
2 2 0
1 0 0
2 1 2
2 2 2
2 2 1
0 1 0
1 0 2
1 2 1
10 5
1 1 0
3 1 2
1 3 2
0 1 2
2 1 1
3 2 2
3 0 3
0 0 1
3 2 1
2 0 0
10 9
2 3 0
1 0 0
0 0 1
3 2 1
3 0 0
0 1 2
2 0 0
2 3 1
0 2 2
1 1 0
10 6
3 0 2
0 0 0
3 0 3
1 2 1
2 3 0
1 2 3
0 2 1
3 3 3
2 2 0
2 2 1
10 4
1 0 0
2 1 1
2 1 2
2 1 0
1 1 0
0 2 2
0 2 1
2 2 2
1 0 2
2 2 1
10 2
1 2 0
2 3 1
3 0 3
2 1 3
3 0 2
3 3 3
3 2 2
2 0 2
0 0 2
3 1 3
10 2
1 0 1
2 1 1
2 1 2
1 1 2
1 0 2
0 2 0
2 0 2
1 2 2
0 2 2
0 2 1
10 9
2 1 1
1 1 2
2 2 2
0 1 1
0 2 0
1 1 1
2 0 2
1 2 0
2 2 0
0 1 2
10 4
1 3 3
2 3 3
2 0 2
3 1 3
1 3 2
0 2 0
0 3 0
0 2 3
1 1 0
1 1 1
10 3
1 1 0
1 2 1
2 2 1
2 0 1
0 0 1
0 2 1
1 0 2
2 1 1
1 1 1
2 1 0
10 2
0 1 0
1 1 1
1 1 2
1 2 2
1 1 0
2 2 0
2 0 2
2 1 1
0 2 2
0 2 0
10 2
1 0 1
3 0 2
3 0 0
2 3 1
3 1 0
1 2 0
0 3 1
0 0 1
0 2 3
0 1 1
10 5
1 0 2
1 3 1
0 0 3
3 0 2
1 2 0
0 0 2
3 2 1
2 0 1
0 3 3
3 2 0
10 5
1 2 0
3 2 3
0 2 2
2 1 3
1 0 3
0 1 3
2 2 3
3 3 1
2 2 2
2 2 1
10 6
2 0 1
1 3 3
3 2 0
0 0 1
0 1 1
3 0 1
0 3 3
0 2 2
1 1 2
2 1 3
10 3
0 0 2
1 0 2
1 2 0
0 1 2
2 2 1
2 2 2
1 1 1
1 1 2
1 2 1
0 2 1
10 6
1 0 1
1 0 2
2 2 1
2 0 2
0 2 0
1 0 0
0 1 2
1 1 2
0 0 1
2 1 2
10 3
3 2 3
1 2 3
2 0 0
3 3 2
1 1 0
3 0 1
0 1 3
1 1 1
3 2 2
3 3 1
10 3
2 2 1
0 2 1
3 1 3
0 3 0
2 2 3
0 3 3
3 0 0
0 1 1
2 1 3
2 3 3
10 4
0 2 2
0 1 1
0 0 2
3 2 0
3 2 3
0 2 0
2 2 1
0 3 0
1 3 3
1 0 3
10 8
2 2 1
1 1 2
0 1 0
0 1 2
1 0 2
2 0 0
0 2 2
2 0 2
1 1 0
0 2 1
10 5
0 1 2
0 0 1
2 1 1
1 0 0
2 1 2
2 1 0
2 2 2
0 0 0
1 2 1
1 2 2
10 2
0 2 2
0 0 2
1 0 2
0 2 1
0 2 0
1 1 0
0 0 0
1 2 0
0 1 1
2 1 1
10 3
0 2 1
2 2 0
1 1 2
2 2 2
0 0 1
1 0 2
2 1 0
0 0 0
2 1 1
0 2 2
10 6
3 3 3
2 1 1
1 2 2
1 3 1
2 2 1
1 1 3
1 1 1
2 3 0
0 0 2
1 3 3
10 9
2 3 1
3 1 1
1 0 3
3 2 0
3 2 1
2 2 1
0 1 0
3 1 3
2 1 2
1 2 0
10 5
1 0 1
1 2 3
1 0 3
0 0 3
2 2 0
1 1 0
2 1 3
3 1 3
2 0 0
3 3 2
10 5
0 2 0
1 0 0
0 2 1
2 2 2
0 0 2
0 1 0
2 2 0
1 2 1
2 2 1
1 2 2
10 8
2 1 2
1 0 0
0 1 0
2 0 1
0 2 1
0 0 1
1 1 2
0 2 0
0 1 1
1 2 1
10 6
3 1 0
3 1 2
2 2 2
2 1 3
1 3 3
1 3 0
1 0 1
2 1 2
1 0 0
3 2 1
10 4
2 1 0
1 1 2
0 2 1
1 0 2
0 2 0
1 2 0
1 2 1
2 0 2
0 2 2
2 0 0
10 9
3 1 2
3 0 0
2 0 2
3 3 2
1 2 3
3 2 3
3 0 3
0 1 1
3 3 1
3 1 0
10 8
2 2 1
1 1 2
0 0 1
2 2 2
1 0 2
1 2 1
2 1 1
0 2 1
2 1 2
1 2 2
10 9
2 0 3
1 0 0
0 3 3
1 2 0
0 3 0
3 3 2
1 1 0
0 1 1
2 2 1
0 2 1
10 8
0 1 1
2 0 0
2 1 1
0 0 1
0 2 1
1 1 1
1 1 2
2 0 1
1 1 0
2 1 2
10 9
1 2 1
1 0 2
0 3 0
2 3 1
0 0 0
2 1 2
2 0 1
1 1 3
0 2 1
2 1 1
10 9
2 1 0
2 2 0
3 3 2
0 2 3
3 1 3
2 1 1
2 1 2
0 2 2
3 2 3
3 0 2
10 8
3 1 1
3 3 0
1 2 3
2 1 2
1 1 1
1 1 0
0 1 0
3 3 1
2 0 0
1 3 0
10 9
2 0 3
0 1 0
2 2 3
0 2 3
2 0 0
3 1 2
2 0 1
0 3 3
0 0 0
0 1 3
10 6
3 2 0
1 2 3
2 2 2
1 3 0
3 0 2
2 0 3
2 0 1
1 2 2
3 0 0
1 1 3
10 6
2 3 2
3 3 3
2 3 0
2 0 0
0 2 0
1 3 3
3 0 2
2 2 2
3 3 1
3 1 3
10 9
2 2 2
1 0 1
2 0 2
0 2 0
2 1 2
0 0 1
2 0 0
1 2 2
0 0 0
1 1 2
10 5
2 3 1
2 2 0
1 0 1
2 0 1
0 3 2
3 2 0
1 0 2
1 2 0
3 2 1
3 1 0
10 8
2 2 0
0 1 0
0 1 2
2 0 0
2 1 1
1 1 2
1 0 0
0 2 1
2 2 2
1 1 0
10 6
2 2 0
0 2 2
0 1 1
1 1 2
2 1 0
0 0 0
1 1 1
2 0 0
1 1 0
2 1 1
10 8
2 1 2
0 1 2
1 1 1
2 1 1
1 0 0
0 2 1
2 1 0
0 2 0
2 2 0
0 0 2
10 2
2 1 0
2 2 2
1 2 1
0 2 1
1 2 2
1 0 1
2 0 0
0 1 2
1 1 2
1 0 0
10 8
2 1 3
1 2 1
2 2 1
2 0 3
3 2 1
0 1 3
3 1 0
2 2 2
2 0 0
1 3 0
10 6
1 0 0
0 0 2
1 2 1
0 1 1
2 1 2
0 2 1
0 1 2
1 0 1
0 2 2
0 0 1
10 2
2 1 0
0 2 2
2 2 0
1 0 0
2 0 1
1 2 1
0 1 0
1 2 2
1 1 1
0 0 2
10 7
1 1 2
1 1 0
0 2 2
2 2 2
1 2 1
1 0 2
2 1 2
0 1 0
0 1 2
2 1 1
10 7
1 1 0
1 3 2
3 2 2
1 2 0
2 0 3
3 1 3
3 0 0
0 1 3
0 3 0
0 0 3
10 4
0 0 0
1 1 1
1 0 0
0 2 1
1 2 2
1 0 1
2 2 2
2 2 1
0 0 2
2 0 1
10 4
0 2 3
3 3 0
3 0 2
1 1 0
2 2 2
3 3 1
2 1 3
2 0 2
0 2 2
1 2 1
10 6
1 2 1
1 0 1
0 1 0
1 1 0
1 2 0
0 0 2
1 0 0
0 2 2
0 0 1
2 0 1
10 5
2 3 2
3 3 2
0 1 1
1 2 3
2 3 3
0 1 2
3 0 0
1 3 1
3 0 1
3 2 1
10 2
0 2 0
3 1 1
3 0 1
2 0 0
0 2 1
2 0 2
2 3 1
2 2 2
2 0 3
1 1 2
10 3
3 3 3
1 1 2
0 3 2
2 2 0
1 2 3
2 1 1
1 1 1
1 3 1
2 1 2
3 2 3
10 4
3 3 0
1 1 1
1 2 0
3 1 0
3 3 2
3 0 3
0 3 1
2 3 1
0 0 1
1 3 0
10 2
0 3 1
2 0 1
0 2 1
0 0 2
2 3 3
3 1 2
1 1 2
0 2 3
1 0 2
3 2 3
10 2
2 0 1
1 2 0
3 1 0
1 3 0
3 0 1
2 2 1
1 2 1
0 1 3
0 3 0
2 1 3
10 8
0 2 2
2 2 0
2 1 0
1 2 2
2 0 1
2 2 1
1 0 1
1 2 0
2 0 2
1 1 0
10 3
1 0 3
1 0 2
1 3 2
0 3 1
3 1 2
3 2 2
1 2 2
2 1 1
3 2 1
3 2 3
10 5
0 0 2
1 0 2
1 2 0
0 1 1
0 1 0
1 1 1
2 1 2
0 0 0
1 0 1
0 1 2
10 4
1 2 3
0 0 1
2 1 0
3 1 2
2 2 1
2 3 0
3 1 3
2 0 2
0 0 2
3 1 1
10 2
2 1 3
1 3 1
1 0 1
0 1 2
2 3 3
2 0 3
3 3 2
0 2 1
1 0 3
2 2 0
10 3
1 1 1
1 0 2
0 2 0
2 1 0
2 0 0
1 1 0
2 1 2
0 0 2
1 0 0
0 0 0
10 6
0 3 1
2 1 0
3 2 1
0 1 2
1 1 2
0 2 2
0 0 0
0 3 3
2 3 1
1 2 3
10 7
1 2 2
2 1 2
0 0 2
1 1 2
2 1 1
1 3 3
3 1 2
3 2 3
2 3 2
3 3 2
10 4
1 2 2
3 3 1
3 3 2
2 3 2
2 3 1
1 1 3
0 1 0
0 3 2
0 2 3
1 1 1
10 4
0 2 0
1 1 1
2 1 0
0 0 3
3 2 3
1 2 3
1 3 0
1 2 1
3 3 0
3 0 1
10 8
3 2 1
3 3 3
1 0 1
2 2 0
0 3 2
0 0 0
1 1 0
3 3 0
3 0 1
1 3 1
10 7
2 2 1
2 0 0
1 1 2
2 2 2
0 0 2
0 1 0
1 0 1
2 1 0
0 1 2
2 1 1
10 7
1 2 1
1 0 0
1 1 0
1 2 2
2 2 0
2 0 1
0 2 2
2 1 1
0 2 0
2 1 0
10 5
0 3 3
0 3 0
0 1 2
1 3 0
3 2 3
3 3 1
0 1 3
3 0 0
1 2 1
2 1 3
10 9
0 0 0
0 2 1
0 1 0
2 1 0
1 0 2
2 2 0
0 1 1
2 2 1
1 2 1
1 1 1
10 8
2 1 0
3 3 3
0 1 3
2 1 1
0 3 1
3 0 1
2 2 3
1 0 1
3 0 0
0 1 0
10 8
0 1 2
2 0 2
2 1 0
1 1 2
1 0 1
1 2 1
1 0 2
0 2 0
2 0 1
2 2 1
10 2
0 3 1
2 2 2
0 0 1
0 1 1
0 0 2
1 0 3
1 0 0
3 1 1
3 2 3
2 2 0
10 2
1 0 1
2 1 2
1 2 0
2 2 0
0 1 1
1 0 2
1 2 2
0 0 1
2 1 1
0 1 2
10 2
3 1 3
3 0 3
0 1 1
0 1 2
1 3 0
0 0 2
2 2 3
1 3 3
1 0 2
2 3 3
10 8
2 2 2
2 3 0
3 0 3
2 2 3
2 2 0
1 2 1
1 0 0
1 2 0
0 1 1
0 3 3
10 9
2 2 2
1 2 1
0 2 0
2 1 0
0 2 2
2 2 0
1 2 2
0 0 1
1 1 1
0 1 0
10 8
1 3 0
2 3 0
0 2 3
0 3 2
1 0 3
3 2 3
3 0 2
1 2 0
0 1 3
1 1 0
10 2
3 3 3
3 3 1
3 3 0
1 2 0
2 3 0
1 2 1
2 0 0
1 3 2
2 1 0
0 3 3
10 2
1 0 1
1 2 0
0 2 0
2 0 1
1 1 1
2 0 2
0 0 2
1 1 2
1 0 2
2 1 0
10 5
2 1 2
1 2 1
2 2 2
1 2 0
2 0 0
1 1 0
0 2 0
0 1 2
2 0 1
0 0 1
10 5
2 2 1
1 1 1
0 0 0
2 2 2
1 2 0
2 1 2
0 1 2
1 0 1
0 2 1
0 0 1
10 4
1 0 1
0 0 0
0 1 2
2 1 0
2 2 0
1 1 0
1 0 0
1 0 2
2 2 2
2 1 2
10 9
0 2 2
3 3 1
2 2 3
1 1 3
3 2 1
3 1 2
3 3 3
1 2 1
3 1 0
1 1 1
10 2
1 0 2
1 1 3
1 2 0
3 2 0
1 1 1
1 3 1
3 3 2
2 1 0
2 1 3
3 3 3
10 3
2 2 3
0 0 0
3 3 2
2 1 1
0 1 1
0 3 2
3 2 0
2 0 1
2 3 2
3 0 2
10 4
0 1 0
2 1 1
2 2 1
1 0 1
1 1 1
1 2 2
2 2 2
1 1 2
2 1 2
0 1 1
10 5
0 0 1
1 1 0
2 1 1
2 1 2
0 2 0
2 2 1
2 0 0
1 0 1
1 1 2
2 0 1
10 3
2 2 2
0 1 3
1 2 3
3 0 0
1 1 3
1 0 3
1 0 2
0 3 0
2 3 2
1 0 0
10 2
0 1 1
2 0 1
1 0 2
1 1 0
0 1 2
1 2 2
0 1 0
2 1 0
2 2 0
2 2 1
10 3
0 2 2
2 2 0
0 0 2
2 2 2
0 1 0
0 2 0
1 0 2
2 1 1
2 1 2
0 0 1
10 3
1 2 0
2 1 2
1 1 2
1 2 1
1 3 3
2 2 1
2 0 0
1 0 2
1 1 1
0 2 1
10 3
2 2 3
1 3 3
1 1 2
2 1 3
2 1 0
1 1 3
0 3 0
1 3 1
2 3 0
1 0 3
10 5
2 0 2
2 2 1
0 0 1
0 2 1
2 0 1
1 0 1
0 1 0
1 0 2
2 1 1
1 2 2
10 2
2 2 0
3 3 2
3 2 0
2 3 0
3 0 3
3 1 1
1 2 0
2 1 2
0 1 1
0 0 3
10 6
1 3 3
3 0 2
1 0 1
2 2 0
0 2 0
2 1 1
2 3 2
3 1 0
0 1 2
1 2 3
10 5
2 2 0
0 2 1
1 1 1
0 0 1
1 0 0
1 1 0
0 1 1
0 2 0
2 1 2
0 0 2
10 8
0 3 1
3 2 3
3 1 2
1 2 3
2 2 0
0 3 3
0 2 1
0 3 0
2 3 2
2 0 3
10 4
0 3 3
2 3 1
1 0 2
0 0 3
0 3 1
1 2 2
1 3 2
3 2 0
2 2 0
1 2 3
10 9
2 0 1
1 2 1
1 0 0
3 1 2
1 1 3
0 1 0
0 1 2
3 0 3
2 1 2
1 2 3
10 8
1 0 2
0 1 1
0 0 1
0 2 1
1 0 0
1 2 0
2 2 1
2 1 1
0 0 0
2 2 2
10 4
1 2 2
2 1 1
0 1 1
1 0 2
1 1 0
0 0 0
2 2 1
1 1 2
0 2 0
0 0 1
10 6
1 2 0
2 2 0
1 0 1
0 0 0
2 1 1
0 2 0
2 0 1
0 1 0
1 0 0
2 2 2
10 2
3 0 3
0 3 0
0 0 1
3 2 2
2 2 3
0 2 3
2 3 0
0 2 1
1 1 2
0 3 3
10 9
2 1 2
0 0 2
0 1 2
1 1 1
3 2 1
0 2 3
0 0 1
3 3 2
1 3 1
3 3 0
10 2
0 1 2
3 3 0
3 1 3
0 3 3
2 1 3
0 1 3
3 2 2
0 2 3
2 2 3
3 0 2
10 3
2 0 1
0 2 2
1 2 0
0 0 0
0 1 0
1 1 1
2 0 0
2 2 2
1 1 2
2 1 1
10 6
0 1 3
3 3 2
2 0 2
3 0 1
2 3 0
0 0 0
2 0 3
1 2 3
0 3 3
0 0 3
10 9
0 2 0
1 1 1
0 3 2
2 3 3
0 3 0
3 1 2
0 2 3
2 2 2
2 0 3
1 0 1
10 6
1 1 0
3 0 3
0 2 0
1 1 2
2 0 3
1 3 3
3 1 0
2 3 0
2 3 1
2 2 3
10 4
1 1 2
3 3 3
1 2 3
3 2 0
0 1 0
1 3 1
1 0 1
1 1 1
2 1 3
0 3 2
10 6
0 3 2
3 1 3
1 0 2
2 0 0
1 3 3
0 3 1
2 0 2
3 2 0
3 3 3
0 1 0
10 9
2 1 2
2 2 0
0 2 2
0 1 0
1 1 0
1 0 1
0 1 2
0 2 1
1 0 2
1 2 1
10 4
2 1 0
1 1 1
1 3 3
1 0 3
2 0 2
1 0 0
1 2 2
2 2 1
3 0 3
3 2 2
10 2
0 2 1
1 0 1
2 2 0
2 2 2
2 0 0
1 2 2
1 2 0
1 1 2
2 2 1
0 0 0
10 6
0 3 3
3 2 2
3 3 0
3 3 2
1 3 3
1 2 1
0 2 1
2 3 0
1 0 0
1 2 3
10 5
1 1 2
3 2 3
3 3 0
0 2 2
0 3 1
3 3 2
1 1 3
0 1 0
1 0 3
0 1 1
10 8
0 1 0
2 2 2
1 2 0
0 1 2
0 1 1
1 1 1
0 2 1
2 2 1
1 2 2
1 1 2
10 6
1 0 1
2 0 2
0 0 0
2 1 2
2 3 3
3 3 0
3 2 3
1 0 0
1 2 1
2 3 1
10 2
0 0 1
0 1 0
1 2 1
2 2 0
2 2 1
1 0 1
2 1 2
0 0 2
0 1 1
2 1 1
10 6
1 1 1
0 1 1
1 0 2
1 1 2
1 0 0
2 1 1
0 2 0
1 2 1
2 2 2
0 0 2
10 8
2 3 1
1 1 2
0 1 2
2 2 3
0 3 2
2 1 0
3 0 0
3 0 1
2 2 0
3 0 3
10 8
1 0 1
0 2 2
2 2 0
2 2 2
0 2 0
1 1 0
2 0 0
0 1 2
2 1 2
0 0 0
10 4
1 2 2
1 0 2
2 0 1
2 0 0
2 1 2
2 2 0
0 2 2
1 1 1
0 0 0
2 1 1
10 8
3 0 1
1 3 2
0 3 0
3 1 0
0 1 1
2 1 1
3 3 1
0 1 3
2 3 1
1 0 1
10 7
2 2 2
0 1 2
2 2 1
1 2 1
2 1 2
1 0 0
0 0 0
1 0 1
2 1 0
1 1 2
10 2
1 1 1
0 1 2
0 2 0
0 0 1
2 2 0
1 2 1
1 0 2
0 1 1
2 0 1
1 0 1
10 9
2 0 0
2 2 0
2 0 2
2 2 2
1 2 0
0 1 2
1 1 2
2 1 1
2 1 2
0 1 0
10 9
3 2 1
2 3 1
3 1 1
3 3 1
1 3 1
0 2 3
1 1 1
0 1 0
0 1 2
1 1 2
10 7
2 2 1
2 0 1
1 0 1
0 1 0
2 0 0
1 1 0
1 2 0
0 0 1
0 2 0
1 0 0
10 8
0 1 1
2 0 1
0 3 2
2 0 2
2 0 0
1 2 1
0 0 3
1 0 1
3 1 1
3 3 3
10 8
0 0 0
0 0 1
1 0 0
1 1 2
0 0 2
3 3 1
0 1 2
3 2 1
0 1 3
3 1 2
10 6
1 2 1
1 0 1
1 1 2
0 1 1
2 1 0
2 2 2
2 0 2
2 0 0
0 2 1
0 0 2
10 9
3 1 1
3 2 3
3 1 0
0 1 1
0 0 3
3 0 3
3 0 0
3 0 2
2 0 1
2 0 3
10 2
0 3 0
1 3 3
0 0 2
3 3 3
3 2 0
3 0 2
1 3 1
2 2 1
0 2 1
1 0 2
10 6
1 2 1
2 2 1
3 2 0
3 3 1
2 1 2
1 0 3
2 3 3
2 3 2
2 0 3
1 3 0
10 6
3 3 2
3 1 2
1 1 0
1 1 3
0 1 2
2 2 0
1 3 2
1 1 1
0 2 2
3 0 2
10 5
3 1 0
3 2 0
3 2 3
2 3 3
1 0 3
1 3 1
1 3 3
1 2 1
3 3 0
0 1 3
10 2
1 0 1
1 2 2
0 0 2
1 1 0
1 0 0
2 1 0
0 0 1
0 2 0
0 0 0
1 1 2
10 8
0 0 0
1 1 2
0 1 0
2 1 2
2 1 0
2 2 2
0 1 1
1 0 0
1 0 2
0 1 2
10 4
2 1 2
1 1 2
2 2 0
0 1 2
1 0 1
2 1 0
1 1 0
1 0 0
0 1 1
0 2 1
10 5
2 1 1
0 1 2
2 0 2
1 2 0
2 2 2
3 2 1
0 0 2
3 0 0
1 0 0
3 0 1
10 5
1 2 2
2 1 2
2 0 1
0 1 2
1 2 1
0 0 1
2 2 2
1 0 1
1 1 1
1 1 0
10 2
1 0 3
1 2 2
3 0 1
1 3 2
1 2 1
2 3 1
1 1 1
0 2 0
1 3 0
1 3 3
10 2
1 1 1
1 1 0
1 3 2
3 3 2
2 1 3
3 0 2
2 0 3
3 3 0
3 2 1
1 2 2
10 9
2 0 2
1 1 0
2 2 2
2 1 0
1 1 1
1 2 1
2 0 1
2 1 1
0 1 2
0 1 0
10 4
3 2 3
2 0 0
3 2 1
2 1 0
0 3 1
2 3 1
1 1 1
3 3 2
0 1 2
2 1 3
10 8
1 1 0
0 1 1
0 2 1
1 1 1
0 1 2
2 1 1
2 2 2
1 2 1
0 2 2
0 0 2
10 9
1 0 0
0 2 3
2 0 3
1 3 2
3 2 1
0 1 1
3 3 1
3 0 0
1 2 1
2 2 1
10 2
1 2 1
0 1 2
2 0 0
2 0 1
2 2 2
0 2 2
1 0 1
0 1 1
0 0 1
0 2 1
10 6
0 2 1
3 3 3
1 3 2
3 1 1
1 1 0
3 0 3
1 1 3
0 0 0
1 0 0
3 2 0
10 3
0 2 1
1 2 1
2 0 2
0 2 2
2 2 2
1 1 1
1 1 2
0 0 1
0 1 2
0 1 1
10 7
1 2 0
0 2 2
3 2 0
2 1 3
2 2 3
0 3 0
1 0 2
3 0 1
1 3 3
0 3 1
10 8
0 0 2
1 0 0
0 2 0
2 0 2
0 2 2
2 0 0
2 1 2
2 1 0
0 1 1
2 2 1
10 5
2 1 1
1 1 2
1 0 2
2 2 2
2 2 1
0 1 2
0 2 1
0 1 0
2 0 1
1 2 2
10 3
2 2 2
0 1 2
2 2 0
1 2 1
0 0 2
2 0 1
0 2 0
1 0 0
2 2 1
0 1 1
10 9
1 1 1
0 1 1
0 3 0
2 2 2
1 1 0
3 1 1
0 0 3
1 2 1
3 1 0
2 1 2
10 5
0 3 2
0 0 3
1 0 0
1 0 2
1 3 1
1 2 1
3 1 2
3 0 0
0 1 3
2 0 0
10 5
1 3 2
3 0 0
2 0 0
0 2 2
1 0 1
0 3 3
1 2 1
2 3 2
3 3 0
1 0 2
10 9
2 1 0
0 0 2
0 3 3
0 2 2
2 2 1
1 0 3
2 1 1
2 1 2
1 3 0
2 2 3
10 5
1 2 2
0 1 2
2 0 1
2 1 2
2 0 2
1 2 0
0 0 1
0 2 2
0 1 1
0 0 0
10 4
1 0 0
1 1 2
2 0 2
0 2 1
1 2 1
0 0 2
2 2 2
0 0 0
0 2 0
0 0 1
10 2
3 2 2
0 1 0
0 3 3
2 1 2
1 0 0
2 3 1
1 0 1
3 0 1
0 0 2
3 1 1
10 7
3 3 3
1 3 2
3 2 1
0 3 1
1 1 3
1 0 1
1 1 0
0 1 1
0 2 1
2 1 1
10 5
0 1 1
1 0 2
0 2 1
2 1 1
1 1 1
0 1 2
2 2 2
1 0 0
1 0 1
1 2 1
10 9
2 1 0
1 1 2
0 2 0
1 2 1
1 2 0
2 2 0
0 1 2
0 0 0
1 1 1
2 0 2
10 7
0 1 2
0 1 1
2 2 0
2 1 2
1 2 1
2 0 2
1 1 1
0 2 1
2 0 1
0 2 0
10 4
1 2 0
2 0 1
1 0 0
0 1 2
0 0 0
2 2 1
1 0 1
0 1 1
0 1 0
2 0 2
10 7
1 1 2
1 2 2
0 0 0
2 2 1
2 0 2
2 2 0
0 2 0
0 0 1
0 1 2
1 2 0
10 8
1 0 2
1 3 0
2 0 3
3 3 1
2 1 1
0 0 1
3 0 0
3 1 1
0 3 1
0 2 3
10 9
0 0 0
1 1 0
0 3 0
1 2 1
3 1 1
2 2 0
2 3 2
3 0 1
0 3 1
2 2 2
10 7
0 0 0
0 0 2
0 1 0
0 2 1
2 0 2
1 1 2
2 1 0
1 1 1
1 2 1
1 0 2
10 4
2 0 3
1 1 2
3 1 0
0 3 0
2 1 3
1 2 1
2 3 2
1 3 3
2 1 1
0 2 1
10 3
1 2 1
3 3 3
3 2 3
2 1 2
1 2 0
0 2 0
0 1 2
1 1 0
2 1 0
3 0 3
10 7
2 0 2
3 2 0
2 1 2
2 2 1
1 0 3
2 2 0
1 2 3
1 2 1
0 3 0
1 3 3
10 7
2 0 2
0 0 0
0 0 1
0 2 0
1 0 0
1 0 1
2 0 1
1 1 1
2 1 2
2 0 0
10 3
3 0 3
0 0 1
3 1 3
1 1 0
3 0 0
3 1 2
0 3 2
3 3 2
1 2 0
3 1 0
10 6
2 2 0
1 2 0
1 1 1
0 0 3
3 3 3
2 1 1
2 3 1
3 2 1
2 2 2
3 0 3
10 8
2 2 0
2 0 2
2 1 1
0 2 1
1 0 2
0 1 0
2 2 2
1 2 0
0 1 1
2 2 1
10 7
1 1 0
0 1 0
1 2 2
2 2 0
0 0 0
1 2 1
1 1 1
1 0 2
0 0 2
2 2 2
10 3
0 2 1
1 0 2
2 0 0
1 2 2
0 2 0
2 1 1
0 1 0
0 1 2
2 2 0
0 0 1
10 6
2 2 2
1 1 2
2 2 1
0 2 0
1 1 0
2 1 0
1 2 0
1 0 1
1 1 1
2 1 1
10 3
0 1 3
1 2 3
1 0 0
0 2 2
2 3 0
3 3 2
3 2 2
2 3 1
3 0 2
3 1 3
10 2
1 3 3
2 3 3
1 3 1
2 2 2
3 2 0
3 2 3
0 2 3
2 1 1
1 2 2
1 0 0
10 3
1 2 2
1 0 0
1 0 1
0 1 2
0 2 0
2 0 2
0 0 0
0 2 2
1 2 0
1 0 2
10 7
1 2 0
1 2 1
0 1 1
2 2 1
2 0 2
1 2 2
1 1 1
2 0 0
0 2 1
1 1 0
10 3
0 1 3
1 3 3
0 3 1
2 3 3
2 1 1
1 3 2
2 0 3
2 1 0
3 0 2
3 1 3
10 2
2 2 0
1 0 0
1 1 0
2 0 0
2 2 1
2 0 2
0 2 0
0 2 2
2 1 1
1 2 0
10 9
2 3 3
3 0 0
0 3 0
1 2 1
1 1 1
3 3 2
3 1 3
3 1 0
2 1 3
3 2 0
10 5
0 3 2
0 3 3
1 0 1
3 0 0
3 2 0
2 2 0
0 0 3
2 3 1
3 3 2
2 0 3
10 6
0 1 0
3 1 0
2 1 2
0 3 3
0 1 1
3 0 2
3 3 1
2 3 2
3 1 1
1 3 2
10 7
1 0 2
1 0 0
0 2 0
0 0 1
2 1 2
3 0 1
0 0 3
3 1 1
3 3 1
0 3 3
10 9
1 1 0
1 1 1
0 2 2
0 0 2
0 1 2
2 2 2
2 2 1
0 1 0
1 0 2
0 0 0
10 8
2 2 2
2 1 0
0 1 1
3 0 2
0 2 3
1 3 1
2 0 2
0 3 0
1 1 0
3 1 3
10 5
1 0 2
1 1 1
0 2 0
1 0 1
1 2 1
0 0 0
0 1 0
0 2 2
2 2 0
1 2 2
10 6
2 0 0
0 1 0
1 1 0
2 2 0
1 2 0
2 1 2
0 1 1
1 0 2
1 1 2
2 2 1
10 2
1 1 2
1 2 1
1 2 2
0 2 0
1 1 1
0 2 1
2 1 0
2 0 2
1 0 1
2 0 1
10 5
0 1 2
2 1 0
2 0 0
1 2 2
1 0 1
0 0 1
1 2 1
1 2 0
1 0 0
1 0 2
10 8
3 3 3
0 0 3
0 1 3
1 1 1
0 2 3
0 3 3
2 2 3
3 1 3
0 0 2
1 1 0
10 8
0 0 0
2 1 2
1 0 1
0 1 0
0 0 1
2 0 2
0 2 2
2 1 1
1 1 0
1 1 1
10 3
0 0 2
2 1 0
1 0 0
2 1 1
0 1 0
2 2 1
1 0 2
0 0 0
1 1 2
2 2 0
10 9
0 1 2
1 0 0
1 2 0
1 2 2
1 0 1
2 0 2
2 2 1
0 0 1
2 0 1
0 0 0
10 3
0 1 0
0 1 2
0 2 0
1 2 2
2 2 0
0 0 2
1 2 0
1 2 1
0 2 1
2 1 1
10 3
0 0 1
3 2 0
1 1 1
1 1 3
1 0 0
2 3 3
0 0 0
1 1 0
3 1 2
1 0 1
10 5
0 1 3
1 1 0
0 1 1
3 3 1
1 2 1
0 3 3
2 0 2
1 3 0
2 1 2
0 2 0
10 2
0 0 0
1 2 0
2 2 1
2 0 0
0 1 1
2 1 0
0 2 1
0 0 2
2 0 1
1 0 1
10 5
0 0 2
2 0 1
0 2 0
2 2 2
0 2 2
1 0 0
2 2 0
1 2 0
1 2 2
1 1 0
10 4
0 1 2
1 2 0
1 1 0
2 0 0
0 2 1
1 0 2
2 1 1
0 1 0
0 0 0
2 2 0
10 4
2 2 1
0 2 3
2 1 0
3 3 1
1 2 2
1 3 0
2 2 3
3 2 1
2 1 3
1 1 3
10 4
3 3 0
2 1 2
0 1 0
0 0 1
2 3 2
0 3 2
2 2 0
0 3 3
1 1 1
3 0 3
10 8
1 0 1
1 0 2
0 2 2
1 2 0
0 0 2
0 2 1
0 0 0
1 1 2
2 2 1
0 1 2
10 8
1 0 0
0 0 1
2 0 1
2 2 0
1 2 1
2 0 0
2 0 2
2 2 1
1 1 1
1 2 0
10 3
2 2 1
0 1 0
0 2 2
2 0 2
0 2 1
2 2 2
2 0 1
1 1 2
0 0 1
1 0 2
10 4
1 3 3
2 2 1
2 1 3
0 3 1
0 2 2
0 3 3
3 3 2
3 1 2
1 2 0
0 3 2
10 4
0 1 0
0 0 1
0 2 1
2 1 1
1 0 0
2 2 2
0 1 1
2 0 0
0 2 2
1 2 0
10 9
0 2 0
2 2 2
2 2 0
1 0 1
2 1 1
0 1 1
1 2 1
2 0 1
1 0 2
1 1 2
10 9
2 3 1
2 1 3
2 3 0
0 3 1
2 1 2
3 1 2
2 3 2
3 2 3
2 0 2
3 0 0
10 9
2 0 2
2 2 1
0 2 1
0 0 1
1 0 0
0 0 2
0 1 2
0 2 0
1 0 2
2 1 2
10 4
0 1 2
2 1 2
0 0 2
1 1 1
2 2 0
0 0 0
1 2 2
0 1 1
2 1 0
1 0 0
10 9
1 1 1
2 2 1
1 0 1
0 2 2
2 1 2
1 0 2
1 1 2
0 2 1
0 1 1
0 0 0
10 2
2 0 0
1 0 2
1 1 1
1 2 1
2 2 0
1 2 2
0 2 0
0 2 2
2 1 2
1 0 0
10 7
2 0 1
0 1 2
0 0 2
0 2 0
0 2 1
0 0 1
2 0 0
2 2 1
0 1 0
2 1 0
10 7
2 1 1
2 3 1
0 3 1
1 3 3
2 3 3
3 1 2
3 0 0
3 1 0
1 3 2
2 3 0
10 3
0 1 1
0 0 2
1 1 2
0 2 0
1 2 0
1 2 2
1 0 1
0 1 2
2 1 1
2 0 2
10 8
0 1 1
2 0 2
1 2 2
1 0 1
1 2 0
0 0 0
1 2 1
1 1 1
1 1 2
2 2 2
10 2
2 2 0
0 0 0
0 2 0
1 1 2
1 0 1
0 2 1
0 1 0
2 1 1
0 0 1
2 0 2
10 8
1 2 1
2 0 0
2 1 1
1 1 1
1 1 0
0 0 1
0 2 0
2 1 0
1 0 1
2 2 0
10 9
1 2 0
2 1 1
0 1 1
2 0 1
1 2 1
2 2 0
1 1 2
2 2 2
2 1 2
2 0 2
10 2
0 0 1
2 2 0
1 1 2
2 2 2
2 1 0
0 0 2
2 0 2
0 1 2
1 1 1
0 2 1
10 3
1 0 0
2 1 1
2 0 0
1 2 0
0 2 0
2 1 2
1 1 2
0 1 1
0 0 1
0 1 2
10 6
0 0 2
1 2 2
1 0 2
2 0 0
2 0 1
0 1 1
1 0 1
1 1 0
2 2 2
1 2 0
10 5
0 0 2
0 1 1
2 1 2
2 0 2
1 1 2
1 0 0
2 2 1
1 1 0
1 0 1
1 2 0
10 8
2 0 0
1 0 1
1 2 0
1 1 2
1 0 0
1 1 0
1 1 1
2 2 2
0 2 1
1 0 2
10 2
2 2 0
3 0 1
1 0 3
1 0 1
2 3 3
1 3 0
0 1 1
1 2 1
2 1 2
0 0 1
10 8
1 0 2
1 1 0
1 2 2
0 2 2
2 0 0
0 2 1
0 0 2
0 0 0
0 1 2
0 0 1
10 5
1 1 1
0 3 2
2 2 1
0 0 0
1 2 3
0 0 2
3 3 3
3 1 1
3 2 3
1 3 1
10 2
2 3 0
3 3 0
3 3 2
2 1 1
2 1 3
0 1 1
0 0 2
1 2 1
3 0 2
1 2 2
10 5
2 1 0
0 1 0
2 2 0
0 0 0
1 1 2
0 0 2
0 1 1
1 2 0
0 1 2
1 2 2
10 5
1 0 2
2 3 2
0 0 2
0 2 3
3 0 3
3 2 3
0 1 0
3 2 1
1 2 2
2 1 2
10 5
1 1 0
1 0 0
2 1 2
1 1 2
1 2 0
0 0 1
0 1 1
2 1 1
1 1 1
0 0 0
10 8
2 2 0
0 1 1
1 1 0
1 2 0
0 2 0
1 1 1
2 0 2
2 1 0
1 0 0
2 1 2
10 6
2 2 0
3 2 3
1 3 2
0 2 2
3 1 0
2 2 1
2 0 2
1 2 3
2 0 3
1 0 1
10 3
1 0 1
0 2 2
1 1 1
2 1 2
2 0 1
2 2 2
1 1 0
2 2 1
2 0 0
2 0 2
10 9
0 0 1
2 0 1
1 2 2
0 1 0
1 0 0
1 2 1
0 1 2
0 1 1
1 1 2
1 1 0
10 3
1 1 2
0 0 1
1 1 1
2 2 0
0 1 0
2 1 1
2 1 0
2 2 2
2 2 1
2 0 0
10 3
0 0 0
2 1 2
1 1 2
1 3 3
3 1 1
1 0 2
0 3 3
3 1 3
2 2 2
2 3 1
10 2
0 2 2
1 2 0
2 0 0
2 2 0
1 1 0
1 0 2
0 0 1
2 2 1
2 0 2
2 1 2
10 4
0 2 1
2 0 3
3 1 3
0 1 2
0 2 2
0 3 3
2 2 2
2 2 0
1 2 3
2 1 3
10 8
0 1 1
0 1 2
0 2 0
0 0 2
0 0 1
1 2 1
0 2 1
2 0 0
2 1 1
1 1 1
10 6
2 1 0
1 1 1
3 3 1
1 3 0
2 2 0
1 2 2
3 2 1
3 0 1
2 3 3
0 1 2
10 4
1 1 1
1 2 1
1 1 3
0 0 1
0 2 0
3 3 0
3 3 2
0 3 1
2 0 1
2 1 2
10 8
2 1 2
2 2 1
0 2 0
1 2 2
0 2 2
2 2 2
0 1 2
2 0 2
1 1 0
2 1 1
10 9
2 1 1
0 2 0
0 1 1
2 2 0
1 1 2
1 2 2
1 2 1
1 1 0
0 0 2
2 0 1
10 5
1 1 2
1 2 2
2 0 2
0 1 1
0 2 1
0 0 1
1 2 0
2 1 1
1 1 1
0 1 0
10 9
2 2 0
1 2 2
2 1 1
1 0 0
1 1 0
0 0 2
2 1 2
1 1 1
0 1 2
2 2 2
10 6
1 1 2
2 2 1
1 2 0
0 1 1
0 2 0
1 2 1
0 0 1
2 0 2
2 0 0
0 0 0
10 7
1 1 2
0 2 2
1 0 0
1 0 2
1 1 1
2 0 2
2 2 1
1 2 1
0 2 0
0 2 1
10 2
1 2 0
2 2 0
2 0 1
2 2 2
0 2 1
1 0 1
0 1 0
0 0 1
0 1 1
1 1 0
10 9
2 0 0
2 1 3
2 2 2
2 0 1
0 1 1
3 2 0
2 3 3
2 3 2
1 1 2
1 3 1
10 6
1 3 2
2 1 1
2 3 3
0 2 2
3 3 3
3 2 1
0 3 0
0 1 0
0 2 0
0 0 1
10 6
2 2 1
1 1 1
1 3 3
3 3 0
3 1 1
1 2 2
1 2 1
3 3 1
0 2 3
0 3 2
10 9
1 0 1
0 2 2
0 0 3
1 2 0
1 3 3
0 3 2
3 1 0
1 0 3
2 1 0
2 0 2
10 8
2 2 0
1 2 2
1 0 1
1 1 1
0 2 1
2 2 1
1 1 2
2 2 2
1 2 0
1 0 2
10 9
1 1 0
2 2 2
0 2 1
2 2 1
0 1 2
1 2 0
0 0 2
0 2 2
1 0 1
1 0 0
10 7
0 3 0
3 2 0
0 2 2
1 2 3
2 0 3
0 0 2
2 3 2
1 3 2
3 0 1
0 0 0
10 9
2 1 2
1 2 2
1 2 0
1 0 1
2 2 2
0 1 2
1 0 0
0 0 1
1 1 1
0 2 0
10 9
0 3 0
2 0 0
3 0 0
2 2 3
2 2 2
1 0 3
0 3 3
1 1 3
3 2 3
0 0 0
10 8
0 1 2
1 0 0
1 2 2
1 1 0
2 0 0
2 0 1
1 2 1
0 1 1
2 2 0
0 0 0
10 5
2 3 0
3 2 2
1 0 2
1 1 3
0 0 3
2 1 3
0 1 1
0 0 2
2 3 1
2 2 0
10 7
1 0 1
2 0 1
0 3 0
2 1 1
1 0 3
2 0 2
3 2 0
0 1 2
0 3 2
2 0 0
10 4
2 2 2
0 0 2
3 0 1
3 0 0
1 1 2
1 3 1
2 1 3
3 1 2
1 2 3
2 2 0
10 6
3 0 0
1 2 3
3 3 2
1 3 0
3 2 1
3 3 3
2 3 1
1 0 1
0 3 1
2 0 3
10 3
1 1 3
0 1 2
0 3 0
2 1 2
3 3 0
1 2 1
3 0 3
0 3 2
2 2 3
2 2 0
10 4
2 3 2
3 1 2
2 1 3
0 3 0
1 3 2
0 0 1
3 1 0
0 2 0
2 2 2
2 2 3
10 8
1 0 3
1 0 2
1 2 2
3 0 2
0 3 2
3 2 3
3 3 2
1 2 1
1 1 3
1 3 1
10 7
0 2 0
1 1 2
0 2 1
2 0 1
1 2 1
0 0 0
1 2 0
0 1 0
0 1 1
2 2 0
10 3
2 0 0
0 1 1
0 0 1
1 1 1
1 1 0
0 2 2
1 0 1
1 0 0
2 0 1
1 2 2
10 7
0 0 1
2 0 0
0 0 0
1 0 0
2 2 0
2 0 2
1 1 0
1 2 2
1 0 2
1 0 1
10 8
0 2 1
0 0 2
0 1 2
0 0 0
0 2 2
1 0 0
1 0 2
1 2 1
2 1 2
0 1 1
10 6
2 1 0
0 0 0
1 2 1
1 2 2
2 2 0
2 2 1
1 2 0
0 0 1
0 0 2
2 2 2
10 8
0 3 0
2 1 1
2 1 0
0 3 1
2 0 2
2 2 2
1 1 0
3 2 3
3 0 2
3 2 0
10 2
0 0 0
2 1 0
0 0 1
2 0 2
0 2 2
0 1 2
1 2 0
1 1 1
2 0 0
1 0 0
10 2
1 3 1
0 3 1
3 3 2
2 2 0
1 2 0
1 1 3
2 0 2
2 3 0
3 3 0
1 3 3
10 4
3 1 3
1 2 0
2 2 2
2 3 3
2 1 1
3 1 1
1 3 1
3 2 3
1 1 2
0 2 1
10 4
2 0 0
2 1 1
2 0 2
2 2 2
0 0 1
2 1 0
0 1 1
1 0 2
1 0 0
2 2 0
10 6
3 3 0
3 2 2
0 2 0
3 0 3
1 2 0
0 2 1
1 1 3
2 0 0
1 0 1
3 2 3
10 5
2 0 1
0 2 2
1 2 1
2 0 2
0 0 2
0 2 0
1 2 2
1 1 0
2 1 1
2 1 0
10 2
1 2 2
2 3 3
1 3 3
0 2 1
2 0 3
3 1 1
2 2 0
3 2 1
3 0 2
3 3 1
10 9
2 2 2
0 2 2
1 3 1
2 3 0
3 2 2
3 1 0
2 2 3
0 0 0
2 1 3
2 1 1
10 5
2 1 2
0 1 1
0 1 2
0 2 0
2 2 1
1 0 1
1 2 0
0 0 2
1 0 0
2 1 0
10 3
2 3 0
3 1 1
1 3 2
0 0 2
0 2 0
0 1 2
3 2 1
3 3 2
0 3 0
1 2 0
10 3
0 2 1
2 0 2
1 2 0
0 1 2
1 1 0
0 2 0
2 1 0
1 0 2
1 0 0
0 1 1
10 9
0 3 2
3 2 2
0 3 0
1 2 3
0 0 3
2 0 2
2 1 1
2 1 2
2 3 3
1 3 1
10 6
1 1 2
0 1 1
0 2 1
1 1 0
1 2 1
0 0 0
2 1 2
0 0 2
2 0 1
0 1 0
10 9
0 1 2
2 0 1
2 2 2
0 1 0
1 0 0
0 0 0
0 0 1
0 2 1
1 2 2
0 0 2
10 3
2 3 2
3 1 0
0 1 2
0 2 2
0 3 0
0 2 1
1 2 2
1 2 3
1 2 1
3 0 2
10 2
3 2 2
1 1 0
0 0 1
3 0 1
0 2 1
2 0 2
0 1 1
2 1 0
3 0 2
0 3 1
10 8
0 1 2
0 3 0
0 1 3
1 0 1
1 2 1
2 2 3
0 3 3
0 2 2
0 2 0
1 3 0
10 6
3 0 3
2 1 2
3 3 0
2 0 0
3 1 2
2 3 2
0 0 0
2 0 3
2 2 2
3 0 1
10 8
2 2 3
2 2 0
0 0 0
1 0 1
1 1 0
1 1 2
2 3 3
0 1 2
3 3 3
2 3 2
10 7
1 1 2
2 2 2
2 1 1
0 0 2
0 0 0
1 1 1
3 0 3
0 0 1
3 0 2
1 1 0
10 4
2 0 0
3 1 1
0 3 0
0 2 1
2 2 3
2 0 1
1 0 1
0 0 2
0 2 3
3 3 0
10 7
0 0 1
0 1 0
2 1 1
2 1 0
0 0 2
1 1 0
1 2 1
0 2 0
1 1 2
2 0 1
10 7
2 0 0
2 2 1
0 0 0
2 1 0
1 1 0
0 2 1
0 0 1
1 0 2
0 0 2
2 2 0
10 3
1 1 2
2 1 0
0 1 0
1 0 0
1 0 1
2 0 1
2 1 2
0 2 2
1 2 0
1 2 1
10 8
3 1 2
2 2 1
1 3 3
0 1 0
3 3 2
3 0 3
3 0 1
2 3 1
2 1 3
1 1 3
10 8
1 2 2
0 0 0
1 1 2
2 1 1
1 2 1
2 2 2
1 0 2
1 0 1
0 2 1
0 1 0
10 7
1 1 2
2 0 1
2 0 2
0 2 2
2 2 0
2 0 0
2 2 3
0 2 1
0 0 1
1 3 2
10 5
2 2 3
1 0 1
3 3 3
3 2 1
3 1 2
2 2 0
3 1 3
0 1 3
0 3 2
2 3 1
10 3
3 2 1
0 0 1
2 2 2
2 1 2
0 0 2
2 3 3
1 2 0
1 1 0
0 2 1
0 3 0
10 3
3 2 2
1 3 3
3 0 3
0 0 0
2 0 3
2 2 3
1 1 3
3 3 1
3 1 3
2 1 1
10 3
2 0 1
2 2 1
1 2 0
1 1 2
1 0 0
2 0 0
0 1 2
0 0 2
0 1 0
0 0 1
10 4
0 1 2
0 2 3
3 1 2
3 1 0
2 0 0
2 0 2
3 2 2
3 2 0
1 1 0
0 2 0
10 7
2 0 2
2 2 0
0 1 2
1 1 0
1 1 1
0 0 1
1 1 2
0 0 2
1 0 2
1 0 0
10 7
3 0 2
3 2 0
0 3 0
1 3 0
2 2 3
1 0 0
1 1 3
0 0 0
1 3 3
0 1 1
10 5
3 2 2
0 1 0
2 0 2
0 0 2
0 1 1
1 0 1
1 3 3
1 0 0
3 0 2
3 2 0
10 3
2 3 1
3 2 2
1 2 1
3 0 3
1 2 3
1 1 3
3 3 1
0 3 1
2 3 0
0 1 2
10 9
3 1 3
2 0 3
0 2 2
0 0 2
3 2 0
2 0 1
3 2 2
3 3 0
2 3 1
3 0 2
10 3
0 2 0
2 2 0
1 1 3
0 1 1
2 2 1
3 3 1
0 1 2
0 0 1
3 0 1
1 3 3
10 5
3 2 2
3 3 0
1 2 2
1 0 1
0 3 1
2 3 1
1 3 2
2 3 3
1 1 3
2 2 0
10 3
2 1 2
0 1 2
1 2 0
0 2 0
0 0 0
1 0 0
1 1 2
0 3 1
3 2 1
1 2 1
10 9
2 0 2
2 2 2
0 2 1
1 1 1
0 0 2
2 1 0
2 2 1
2 2 0
0 1 2
1 0 2
10 8
1 0 2
0 2 2
0 0 0
2 1 2
2 1 1
0 2 1
2 0 1
0 1 0
1 0 0
0 0 2
10 3
2 1 1
0 0 1
1 0 0
0 2 1
0 0 0
2 0 2
2 0 1
0 1 1
1 1 2
0 1 2
10 5
0 1 1
2 0 2
1 2 1
0 0 0
0 2 1
0 0 2
1 0 0
2 1 1
1 2 0
0 2 2
10 9
0 1 2
0 0 0
2 2 1
3 1 2
0 3 0
3 1 1
1 1 2
3 0 3
0 0 3
3 1 0
10 5
3 2 2
3 2 0
2 3 0
1 2 2
2 1 3
3 2 1
0 0 0
3 0 3
2 0 3
1 3 0
10 7
0 2 2
2 1 1
0 0 1
0 1 1
1 0 0
1 2 2
2 1 0
0 0 2
2 0 1
1 0 2
10 7
3 1 0
2 2 3
3 2 0
0 3 2
3 1 1
0 1 0
2 2 0
1 0 2
3 0 2
0 1 3
10 9
1 2 2
2 1 2
2 0 1
1 0 1
1 0 2
0 1 1
1 0 0
0 1 0
2 0 2
0 0 2
10 6
3 1 1
0 2 1
1 2 3
2 0 2
3 0 1
1 1 2
2 3 3
3 3 2
2 1 3
3 2 1
10 5
2 0 2
0 0 2
1 0 2
0 1 2
2 1 2
2 2 0
0 0 1
2 0 0
0 2 2
0 1 0
10 5
1 0 1
1 0 0
2 1 1
1 2 0
1 1 2
0 1 0
0 2 0
0 0 2
1 1 0
1 2 2
10 6
3 1 1
2 2 1
2 0 1
3 0 0
2 2 3
1 1 0
0 2 1
0 2 2
1 3 0
0 0 3
10 3
2 1 1
0 0 2
1 2 0
0 0 0
2 2 1
1 0 0
2 0 0
2 1 2
0 1 1
2 2 2
10 6
3 0 2
3 1 1
0 1 3
0 1 0
3 3 2
3 1 0
0 0 2
2 0 0
0 2 1
2 0 1
10 2
2 3 0
2 0 2
2 2 1
2 0 1
2 0 3
0 0 2
3 1 0
1 1 2
2 2 3
3 0 2
10 2
2 1 2
0 1 2
0 1 1
2 0 1
1 2 0
2 0 0
2 2 0
2 1 0
1 0 2
0 0 2
10 9
1 2 2
2 0 1
1 1 0
2 1 1
2 0 2
0 0 2
1 0 1
0 0 1
2 0 0
2 1 2
10 6
1 2 1
1 1 2
0 0 2
2 1 1
1 2 0
1 2 2
2 1 2
0 2 0
1 0 2
2 0 1
10 2
1 1 2
1 2 2
1 1 1
2 1 2
2 0 2
2 1 0
0 1 2
2 2 2
2 0 1
1 0 0
10 8
1 0 1
0 1 0
2 2 2
2 1 1
1 0 0
1 1 1
2 1 0
1 1 2
1 0 2
0 2 0
10 2
0 2 2
2 1 1
0 2 0
0 1 0
2 2 0
1 2 0
2 1 2
1 2 1
1 0 2
2 1 0
10 6
0 1 1
2 0 1
1 1 1
0 0 2
2 0 2
1 0 0
0 0 0
2 2 1
2 1 2
2 2 0
10 3
0 1 2
1 2 0
2 2 2
1 1 2
0 2 2
0 1 1
0 0 1
1 2 1
2 0 0
2 2 0
10 4
3 3 3
3 1 2
3 2 0
1 1 0
1 2 1
0 0 1
0 3 1
0 1 3
1 1 3
3 2 2
10 8
0 1 2
2 1 1
1 2 1
1 1 2
2 0 0
0 2 2
2 2 0
2 1 0
2 0 1
0 0 2
10 8
0 1 2
1 2 0
1 0 2
0 2 1
2 0 2
0 1 1
1 2 2
2 1 1
1 0 1
2 2 1
10 7
0 0 1
2 0 1
0 2 2
1 2 2
1 0 1
1 0 2
0 1 2
1 1 1
2 1 0
2 0 2
10 7
2 2 0
2 1 1
1 1 0
0 0 1
1 2 1
0 1 1
0 0 0
1 1 2
0 1 0
2 1 2
10 9
2 0 1
2 0 2
1 1 1
0 0 0
1 2 3
1 0 0
0 0 1
2 3 2
3 0 1
1 3 2
10 6
2 2 2
1 1 0
1 0 1
1 1 2
2 1 0
1 0 0
0 2 1
1 2 1
1 1 1
2 0 2
10 9
1 2 0
1 0 2
0 0 2
2 2 0
0 2 0
0 2 1
1 0 0
2 2 1
1 1 0
1 2 1
10 6
0 0 2
2 1 0
1 2 2
0 1 0
1 1 0
2 1 1
0 2 2
0 2 0
1 2 0
0 1 2
10 9
2 1 2
0 2 0
0 1 0
2 0 2
1 2 2
2 0 0
2 2 2
0 0 1
1 2 1
1 1 0
10 7
2 0 1
2 2 0
1 1 1
0 1 0
2 0 0
0 0 2
1 2 1
1 1 0
0 1 2
0 0 1
10 6
2 1 0
1 0 0
1 2 2
0 0 1
2 0 1
2 2 1
1 1 0
1 1 1
0 2 1
2 1 2
10 6
0 1 1
0 2 1
1 0 0
3 2 3
2 0 1
2 0 0
1 0 3
0 1 2
1 1 2
3 0 3
10 7
0 2 2
1 3 3
0 1 2
2 1 1
2 0 2
1 3 0
2 1 3
1 3 2
2 3 1
2 1 0
10 4
1 1 0
2 2 1
0 1 0
2 0 1
1 1 3
1 0 2
3 2 1
1 1 2
2 3 2
1 0 3
10 6
2 1 1
2 2 2
1 0 2
0 2 0
0 0 1
0 0 0
1 1 1
1 1 0
1 0 0
1 0 1
10 6
0 0 1
0 3 3
2 2 1
2 1 2
2 0 2
2 1 1
3 0 1
2 3 2
0 1 2
0 0 2
10 4
1 0 1
0 3 0
1 0 2
2 3 0
3 2 1
0 3 2
3 2 2
3 0 1
2 0 2
3 3 1
10 6
1 1 2
2 1 2
0 0 2
2 2 0
1 0 0
0 2 2
2 1 0
0 1 1
1 1 0
0 1 0
10 9
2 0 0
0 2 0
2 0 2
2 1 0
0 0 1
1 0 2
0 0 0
1 1 2
0 1 1
2 2 1
10 5
0 1 2
2 0 1
0 0 0
1 1 0
1 0 1
2 0 2
0 2 0
1 2 1
0 1 1
1 1 1
10 5
2 2 2
1 0 2
1 2 0
1 1 0
2 2 1
1 0 1
2 1 0
1 0 0
0 2 0
0 1 0
10 7
0 3 3
0 0 2
3 1 2
3 0 2
1 2 3
3 0 1
1 2 1
1 1 3
0 0 3
2 2 3
10 9
3 1 0
3 2 3
0 3 1
0 2 2
1 2 3
2 0 3
3 3 2
2 0 2
3 0 3
1 2 2
10 3
1 0 2
0 1 1
2 2 3
1 2 3
1 3 0
2 0 1
3 3 0
2 3 0
3 2 0
1 1 1
10 6
1 1 3
2 2 1
1 1 0
2 1 1
2 0 0
1 2 1
2 0 1
1 2 0
3 1 2
0 0 0
10 4
0 0 0
1 0 0
1 1 2
0 1 1
0 3 1
3 3 0
2 1 2
1 2 3
2 2 3
3 0 1
10 3
0 0 1
2 2 2
1 1 1
1 1 0
1 1 2
0 0 0
1 0 1
0 2 2
0 1 0
2 2 1
10 8
1 1 0
2 1 2
2 0 0
1 1 2
2 2 0
2 2 2
1 2 2
0 1 0
0 0 0
1 2 1
10 2
0 2 1
0 1 2
2 1 2
2 0 1
2 2 2
0 0 2
1 0 0
1 1 1
1 0 1
1 2 0
10 5
0 1 0
2 2 1
1 0 0
1 2 2
0 2 1
2 1 0
0 2 0
2 0 0
2 2 0
1 0 1
10 9
2 1 2
2 1 0
1 1 0
0 1 2
0 2 0
2 1 1
2 0 1
1 1 1
2 2 1
0 2 1
10 3
0 2 2
0 2 3
3 1 0
1 0 2
0 1 3
3 0 1
3 3 1
0 3 2
3 1 1
1 3 3
10 7
3 1 2
1 3 2
0 2 2
2 1 1
3 3 2
1 0 0
0 3 2
3 1 1
3 3 1
2 0 1
10 8
0 2 0
0 0 1
0 2 1
1 2 0
1 1 2
2 0 0
2 0 2
0 0 2
0 0 0
2 2 0
10 6
2 3 1
0 2 2
2 0 0
1 1 0
1 0 1
2 3 3
3 0 2
1 3 0
2 1 0
1 2 1
10 7
0 2 0
2 2 1
2 2 2
0 3 3
2 0 1
2 3 0
3 3 2
1 1 0
1 3 2
3 3 1
10 3
0 3 0
1 3 1
1 3 0
2 2 1
1 0 2
1 0 3
0 3 3
0 0 2
2 1 3
2 0 0
10 9
1 2 2
2 2 2
3 0 3
2 1 0
0 2 3
3 3 3
0 2 2
3 0 2
2 1 3
1 1 3
10 6
1 0 2
2 0 2
2 0 1
0 1 0
0 0 0
2 2 1
0 1 2
1 2 2
0 2 1
1 1 2
10 8
1 0 0
2 1 0
1 1 0
0 0 1
0 2 2
0 1 2
0 2 1
0 0 0
2 2 2
1 0 2
10 4
2 2 2
1 3 1
3 1 1
2 0 2
2 2 0
2 1 3
0 3 3
1 0 3
1 3 2
0 0 3
10 8
0 0 0
1 1 0
2 2 1
0 0 1
1 2 2
2 2 0
1 0 1
2 0 1
2 1 0
2 2 2
10 5
2 2 0
3 3 3
3 1 2
0 0 0
2 1 3
0 0 3
1 0 2
0 1 1
0 2 1
2 0 3
10 9
0 3 0
0 0 1
0 1 1
1 0 1
0 2 1
1 0 0
2 0 3
0 3 1
2 0 1
1 3 1
10 5
1 1 3
2 1 1
0 3 1
3 3 1
1 0 3
2 0 1
2 2 3
0 0 2
0 3 2
0 0 3
10 8
1 0 3
0 0 0
0 3 1
1 1 0
3 2 0
1 3 1
3 3 1
3 0 2
2 3 1
1 3 0
10 8
3 1 3
0 0 1
1 0 0
1 3 2
1 1 2
2 3 0
1 0 2
0 3 2
3 3 0
2 1 1
10 9
2 2 2
1 3 1
0 3 0
2 2 1
0 2 3
1 2 1
0 2 0
3 0 3
0 0 0
1 2 0
10 3
2 2 0
1 0 1
1 0 0
2 2 1
2 1 2
0 0 2
2 0 1
1 2 0
0 2 1
1 2 2
10 8
0 2 2
2 1 2
0 0 2
3 1 2
1 3 0
1 1 0
0 3 3
1 1 3
3 3 0
0 0 0
10 2
1 1 3
0 2 0
3 3 0
2 3 2
2 1 1
0 3 1
3 1 1
3 3 2
1 3 3
2 0 0
10 3
1 1 1
0 1 1
1 2 1
1 0 1
0 2 2
2 1 1
0 1 2
1 1 2
0 0 0
0 2 0
10 7
0 2 2
2 2 0
1 1 0
1 1 2
1 2 0
1 0 1
2 1 2
1 2 2
2 0 1
2 0 0
10 3
2 3 2
3 0 1
2 0 1
2 1 2
3 3 2
1 3 3
2 2 3
1 0 1
1 1 2
0 3 1
10 6
0 0 2
2 0 2
2 0 1
0 2 0
2 0 0
1 0 0
1 0 2
1 1 0
0 2 1
0 1 1
10 6
1 0 2
2 1 1
0 0 0
0 2 2
1 1 0
2 2 0
0 1 2
2 1 2
2 1 0
0 1 1
10 2
2 2 1
1 2 1
1 0 2
1 1 0
0 1 2
2 0 0
2 1 2
0 2 1
0 1 0
1 1 2
10 9
2 2 2
2 1 2
0 2 0
0 1 0
1 0 0
1 0 2
1 1 1
1 0 1
1 1 2
2 0 1
10 7
1 2 0
2 0 1
2 1 0
0 2 0
1 0 0
1 2 1
2 1 2
2 2 2
1 0 2
2 1 1
10 9
0 1 1
2 1 3
3 3 0
2 3 3
3 2 3
3 2 1
2 1 1
2 2 0
1 0 0
1 3 1
10 3
2 2 1
1 2 1
2 2 0
1 0 0
2 2 2
1 2 2
0 0 2
0 1 2
0 0 0
0 2 2
10 7
1 1 2
2 0 0
1 0 2
0 2 0
0 1 2
2 0 1
2 1 2
0 0 0
2 1 1
2 1 0
10 7
1 2 1
3 1 2
0 0 3
2 0 2
2 0 3
0 2 1
3 2 1
2 1 2
3 3 0
0 0 2
10 2
0 0 2
0 0 1
2 2 0
1 2 0
0 1 0
0 1 1
2 1 0
2 0 1
1 2 2
0 2 1
10 8
0 2 0
2 3 0
2 0 3
0 2 2
2 2 1
1 3 3
1 2 3
0 1 0
0 2 1
3 1 0
10 7
0 0 1
0 2 0
2 2 0
2 0 0
1 1 0
2 1 2
2 0 1
2 0 2
2 1 1
1 0 1
10 2
0 2 1
0 3 2
0 3 3
0 1 3
0 0 3
3 1 3
1 2 3
1 3 0
2 3 0
2 3 2
10 8
3 0 1
0 0 1
2 2 0
1 3 0
0 1 3
0 1 1
0 3 2
2 3 1
3 2 3
1 0 1
10 3
0 3 2
2 2 3
0 1 2
3 3 3
3 1 0
0 2 3
2 1 2
2 3 3
1 3 0
3 0 3
10 8
0 1 1
2 1 2
0 2 0
1 1 0
1 0 1
2 1 1
1 0 2
2 1 0
2 0 1
2 2 2
10 6
3 0 3
0 3 0
1 1 2
3 3 0
0 1 0
0 3 3
1 0 0
0 0 1
1 1 1
0 2 3
10 7
3 3 3
1 2 3
0 0 2
2 1 3
1 3 2
2 2 2
2 0 0
2 2 0
3 2 0
3 1 2
10 8
0 0 3
1 0 0
3 1 0
2 3 2
2 3 3
1 1 1
0 0 1
1 0 2
0 0 2
1 2 1
10 7
2 1 2
2 2 0
2 0 0
0 1 0
0 0 2
0 0 1
2 0 2
2 2 2
0 1 2
1 0 0
10 5
0 2 2
3 3 1
3 1 2
3 0 2
1 2 1
2 3 1
1 3 3
1 0 2
2 3 0
0 0 1
10 6
1 2 0
2 2 2
0 1 0
0 0 1
0 1 1
1 0 0
1 2 2
1 1 2
1 0 1
1 1 1
10 6
1 2 0
1 0 1
1 0 2
1 1 0
2 1 0
1 0 0
0 2 2
2 0 2
2 2 2
1 2 2
10 6
3 0 2
1 3 1
3 2 3
0 0 2
0 1 1
1 2 2
2 3 0
0 2 3
2 1 3
0 2 2
10 3
2 1 2
3 2 0
1 3 0
2 2 2
3 1 0
1 2 2
2 0 0
3 1 3
2 0 2
2 2 0
10 6
1 3 1
1 0 2
2 1 2
3 0 1
1 0 1
1 1 2
1 2 3
3 2 0
3 2 3
2 0 2
10 8
3 1 0
2 1 2
0 1 0
3 3 2
3 0 3
0 2 2
0 2 3
3 3 1
0 3 3
1 3 3
10 3
0 3 1
2 1 1
3 3 2
3 0 2
0 0 2
1 0 1
2 2 0
0 1 3
0 3 3
2 1 0
10 7
0 2 2
2 3 2
1 2 2
0 1 1
2 3 0
2 3 3
1 1 0
0 1 0
0 0 0
2 2 2
10 2
1 3 0
2 3 1
3 2 1
3 3 3
3 3 0
0 0 3
1 2 0
1 1 3
2 2 0
0 2 2
10 4
2 2 0
2 0 2
0 2 0
2 0 0
1 1 2
2 1 2
1 2 1
1 2 2
2 1 1
2 2 1
10 8
1 2 2
2 0 0
2 0 1
0 2 2
2 1 2
2 1 0
0 2 1
0 1 0
1 0 2
0 0 0
10 3
1 1 2
0 2 1
0 3 0
2 2 2
3 0 2
2 0 3
0 0 1
1 0 2
2 0 0
3 1 3
10 4
2 2 1
0 0 0
1 1 0
3 0 0
0 2 3
0 3 2
2 1 2
2 3 0
1 1 3
0 1 2
10 7
1 2 1
0 1 2
2 1 0
1 1 0
2 0 0
0 1 1
2 1 2
1 1 2
2 0 2
1 0 1
10 8
1 0 0
0 2 2
0 0 0
0 2 0
1 1 1
1 2 1
0 1 0
1 2 2
2 2 1
1 0 1
10 8
3 0 3
0 3 1
0 1 0
3 0 0
0 3 2
0 0 2
0 0 0
1 2 1
3 3 3
3 1 0
10 7
2 3 1
3 1 3
1 3 3
1 1 2
3 3 2
2 0 2
3 0 1
1 2 2
2 0 1
2 1 1
10 3
0 2 1
2 3 3
3 1 2
3 1 3
2 2 2
2 3 2
1 3 3
3 1 1
1 0 0
0 1 3
10 4
3 1 3
3 1 1
0 3 0
3 3 1
3 3 2
2 0 0
0 1 0
3 3 3
1 2 2
3 0 1
10 5
2 2 2
2 2 1
0 0 2
0 1 2
2 1 1
2 0 0
0 0 1
0 0 0
2 1 0
2 1 2
10 8
0 0 1
0 0 2
2 1 1
2 2 2
2 1 0
1 0 0
2 0 0
2 2 1
1 2 0
0 1 2
10 9
0 0 0
0 2 1
2 2 2
1 1 0
1 2 0
3 0 0
2 1 3
2 0 1
2 2 0
1 2 1
10 7
1 1 0
0 2 0
1 0 2
0 1 2
1 0 0
2 2 0
1 1 2
1 2 2
2 0 2
1 2 0
10 9
0 0 1
0 3 2
3 3 1
1 3 1
0 2 0
2 0 2
1 3 2
3 1 3
3 3 2
0 2 2
10 4
3 2 0
0 2 0
2 3 2
0 2 3
2 2 0
1 2 1
1 0 0
0 0 1
3 1 3
1 3 0
10 6
2 0 1
1 2 2
0 2 2
2 1 1
2 2 1
1 0 1
1 0 0
2 2 0
1 1 1
1 2 0
10 7
0 1 2
3 1 1
1 3 3
0 0 0
2 0 1
1 0 0
0 1 1
2 3 1
3 0 1
2 1 2
10 3
2 0 1
2 2 2
2 1 0
1 2 2
1 2 1
0 1 0
0 2 2
2 1 2
2 2 1
1 1 2
10 6
0 0 0
0 1 1
2 0 1
3 0 1
2 0 2
0 2 3
0 3 3
1 3 3
2 1 1
2 2 1
10 6
0 2 1
3 1 0
0 0 3
2 0 2
1 2 2
3 3 2
3 0 3
0 1 2
3 2 2
0 0 2
10 9
3 1 2
0 0 0
0 0 2
2 1 3
1 1 0
2 2 3
0 1 3
3 2 2
2 0 0
3 3 3
10 2
2 1 0
0 0 0
2 3 1
2 3 3
0 3 3
0 3 1
1 3 0
0 2 0
0 0 1
1 0 2
10 8
0 0 2
1 2 2
0 0 0
2 0 0
0 1 2
1 2 1
1 1 1
2 0 2
0 0 1
0 1 0
10 5
1 0 1
1 2 1
0 2 1
0 2 0
1 0 2
0 1 2
0 0 0
1 1 1
2 1 0
2 0 1
10 8
0 3 1
0 0 2
3 0 2
3 3 2
2 3 0
1 0 2
1 1 1
3 0 3
3 1 3
2 0 0
10 4
2 0 0
1 0 2
0 2 1
2 2 2
0 1 0
1 1 2
2 0 1
0 0 0
0 2 2
0 1 2
10 5
0 1 1
2 1 1
2 2 1
1 1 0
1 2 2
0 0 2
0 1 0
2 1 2
2 0 0
0 0 0
10 8
1 2 1
0 1 2
1 2 2
0 0 0
1 0 1
1 1 1
0 1 1
1 2 0
0 2 1
1 1 2
10 2
2 2 1
1 1 0
2 0 1
1 3 2
0 1 0
2 0 3
1 1 1
2 3 0
3 2 2
3 1 1
10 6
3 1 3
1 2 1
1 3 0
3 0 3
3 3 2
3 0 2
2 0 3
1 0 2
3 3 1
2 3 3
10 3
2 2 2
2 0 0
0 0 2
0 1 0
2 0 1
1 1 1
1 0 1
1 1 0
1 0 0
0 0 1
10 5
2 2 2
1 1 1
2 2 0
0 0 1
2 0 2
2 1 1
0 2 0
1 2 2
1 0 2
0 0 2
10 2
3 0 0
2 2 3
1 3 2
3 3 3
0 0 0
1 1 0
0 0 2
3 2 1
1 2 0
3 3 1
10 4
2 3 3
2 1 3
3 2 2
2 0 0
1 3 1
0 2 2
2 1 2
0 1 1
3 0 3
3 2 0
10 8
0 2 1
2 0 0
0 1 0
0 2 2
1 1 1
2 2 2
0 1 1
0 0 1
2 1 0
2 2 1
10 9
0 2 2
0 0 0
2 1 0
0 1 2
0 1 0
0 2 0
2 2 0
1 2 0
2 2 2
1 1 0
10 5
0 1 1
2 2 0
1 2 0
0 2 1
0 2 0
1 1 0
2 0 2
1 2 1
0 0 0
2 1 0
10 4
2 1 2
0 1 1
1 1 1
2 0 2
1 1 0
2 2 0
2 2 1
1 2 2
0 0 0
1 0 1
10 2
0 3 3
0 0 1
1 1 0
3 3 0
0 1 2
3 3 1
1 3 0
0 1 1
2 2 3
0 3 0
10 9
0 0 0
2 1 1
1 1 2
0 1 1
0 0 2
2 0 2
0 0 1
2 0 1
1 2 0
2 2 0
10 2
3 1 3
2 3 2
3 1 1
3 3 3
0 0 2
0 1 2
3 0 3
3 2 3
0 0 3
3 3 0
10 5
0 2 2
1 3 2
3 1 0
2 3 3
2 3 0
2 3 1
0 0 1
0 1 0
2 0 1
3 2 3
10 8
2 0 1
0 0 2
2 2 2
2 1 2
2 3 3
2 0 2
1 3 0
3 3 1
1 1 0
3 3 0
10 4
1 0 3
3 3 2
3 1 2
1 1 2
0 2 1
2 1 1
0 3 2
2 3 3
3 2 0
1 1 1
10 8
2 1 0
0 2 0
2 1 2
2 0 2
0 1 1
0 2 2
2 2 2
2 1 1
0 0 0
2 0 0
10 4
0 1 1
0 0 3
1 1 2
0 1 0
0 3 3
0 3 0
2 3 3
1 3 0
1 3 1
3 0 2
10 5
2 3 0
3 3 2
3 2 2
0 2 2
0 0 0
3 2 1
1 3 3
2 2 3
0 1 0
1 1 2
10 2
3 0 2
0 0 0
3 3 0
2 1 3
1 1 3
0 2 3
3 1 0
1 2 1
2 3 3
3 1 2
10 3
2 0 2
1 1 2
1 0 2
2 3 1
3 1 3
0 2 2
0 0 3
3 1 1
0 1 0
0 0 2
10 3
2 2 3
1 2 1
2 2 2
3 2 1
2 3 3
2 2 1
3 1 0
1 2 0
3 2 2
2 3 0
10 7
2 3 3
0 3 3
1 2 0
1 1 3
3 3 3
0 1 2
3 3 0
3 1 2
3 2 0
1 0 1
10 3
3 2 0
0 0 0
3 0 0
2 2 1
3 2 1
1 3 3
0 0 2
2 2 0
2 3 2
1 0 0
10 4
2 0 0
0 2 2
2 2 0
1 1 1
0 2 1
2 0 1
1 0 1
0 1 0
0 1 1
2 2 2
10 7
0 0 1
2 2 1
0 2 2
2 0 0
1 1 2
1 0 0
0 2 0
0 1 1
2 0 2
1 2 0
10 3
1 2 2
2 1 2
2 3 2
2 2 1
1 0 2
0 1 0
1 0 3
2 2 2
0 3 0
0 2 3
10 7
0 3 0
1 3 1
0 2 0
3 3 3
3 0 0
3 2 1
2 2 0
0 0 0
2 0 0
3 3 2
10 4
1 2 0
3 3 1
0 3 1
1 1 2
2 2 1
0 3 0
0 2 2
1 3 2
1 3 3
3 3 2
10 5
2 2 2
2 2 1
0 0 2
2 1 0
0 0 0
1 0 0
0 2 0
1 1 1
1 2 0
0 0 1
10 8
0 1 1
1 2 0
2 2 0
1 1 1
0 0 1
0 0 2
1 1 2
0 1 2
2 0 0
2 1 2
10 4
0 1 1
0 1 2
2 0 1
1 1 2
1 0 0
0 2 0
0 0 1
2 1 0
2 2 2
2 0 0
10 7
0 1 2
2 2 0
1 0 1
0 1 0
2 2 2
1 0 2
2 0 2
1 1 2
1 2 2
2 0 1
10 6
1 2 1
2 3 2
3 2 1
2 2 0
2 0 3
1 3 2
1 3 3
2 2 2
1 0 1
0 2 1
10 7
3 1 3
1 2 1
0 1 1
3 2 3
1 2 3
1 3 1
0 0 1
3 1 0
3 0 2
0 0 0
10 4
2 0 0
1 0 2
3 1 1
0 1 0
3 1 3
1 3 3
3 2 1
3 1 2
3 3 0
0 3 2
10 3
2 0 0
2 3 2
1 3 3
2 2 3
3 1 1
2 2 2
2 0 3
0 2 2
0 3 2
0 1 0
10 3
1 1 0
2 0 0
0 1 2
2 0 2
0 1 0
1 0 1
2 2 2
1 0 2
2 1 1
1 2 2
10 3
0 1 1
3 0 2
3 0 0
3 1 1
0 1 0
2 3 0
3 2 0
2 0 1
0 2 0
1 2 1
10 2
0 0 2
0 2 2
0 1 0
1 1 0
0 2 0
1 0 0
2 2 1
0 0 0
1 1 1
2 1 0
10 6
2 2 1
3 0 2
0 2 1
2 1 2
2 2 0
3 2 0
2 0 0
0 0 0
0 0 1
2 0 1
10 2
0 2 0
1 2 0
1 1 0
2 1 2
0 1 0
0 0 2
0 1 2
1 1 2
0 1 1
2 2 2
10 4
2 0 0
1 1 0
0 1 2
0 2 1
2 1 2
0 0 0
1 0 0
1 2 2
1 2 0
0 2 2
10 8
0 1 0
2 2 1
2 1 2
2 0 0
0 0 2
0 0 1
1 0 2
1 2 0
1 1 2
2 1 1
10 4
3 1 2
0 3 0
0 1 2
3 0 3
2 1 3
2 1 2
3 1 3
0 3 1
0 0 3
0 1 1
10 7
2 0 0
1 0 2
2 0 1
1 2 0
2 2 1
0 2 2
1 1 0
0 1 0
1 0 1
2 0 2
10 4
1 2 2
2 0 1
1 3 1
2 3 1
1 0 2
1 3 2
2 3 3
2 2 2
3 1 3
2 3 0
10 6
2 0 0
0 2 1
0 2 0
1 2 1
2 1 2
1 1 1
0 1 0
0 0 2
1 2 2
0 0 0
10 4
0 0 0
1 1 1
3 0 0
2 1 3
3 0 1
0 3 1
2 3 0
2 3 3
2 2 0
2 0 3
10 3
3 1 2
2 2 1
1 0 2
3 2 0
0 1 0
1 0 3
2 1 3
0 3 2
2 0 0
3 0 2
10 7
1 1 2
0 1 0
1 0 1
0 1 2
1 2 2
1 0 2
2 2 2
1 2 1
2 1 2
0 0 0
10 8
2 2 1
1 1 2
1 1 0
2 2 0
2 1 2
0 0 2
1 0 1
0 2 0
0 0 1
1 2 2
10 3
0 2 0
1 1 2
1 2 1
3 3 1
2 2 2
0 2 3
3 3 2
1 2 0
1 0 0
1 3 1
10 8
0 1 2
0 0 0
0 1 1
2 0 1
2 1 2
1 0 0
0 2 1
1 0 1
0 0 2
2 1 1
10 8
1 3 1
3 0 3
1 2 0
2 0 3
2 3 1
1 3 3
2 2 0
1 2 3
3 0 2
3 3 3
10 4
2 2 0
0 0 0
2 0 0
1 1 2
0 0 1
1 2 1
0 1 2
0 0 2
0 1 1
1 2 0
10 8
0 2 0
0 2 1
1 1 2
0 1 2
1 2 1
0 2 2
2 1 0
1 1 0
1 2 0
1 0 2
10 7
1 2 3
2 1 1
0 0 2
2 3 2
2 2 1
3 1 0
1 3 1
1 1 2
3 2 0
1 1 1
10 2
0 1 0
2 1 3
1 2 2
3 0 3
2 3 0
1 2 3
3 1 3
2 1 1
2 2 3
3 3 0
10 7
3 2 3
2 3 1
1 3 2
2 3 3
0 3 3
0 2 2
3 2 1
3 2 2
0 0 1
0 1 0
10 7
0 0 1
3 3 2
3 2 1
1 3 1
3 1 2
1 3 3
0 2 1
2 0 3
0 3 1
1 0 3
10 4
3 0 2
1 2 2
0 3 1
1 0 0
2 0 3
3 2 0
0 3 0
0 3 2
3 3 1
1 3 3
10 3
1 0 0
1 0 2
2 2 2
1 2 0
1 2 1
2 1 2
0 2 1
1 1 1
0 1 2
2 0 2
10 6
1 2 1
1 1 1
1 0 2
2 0 0
2 0 2
0 1 2
2 2 1
0 2 1
1 0 1
0 0 2
10 9
1 2 3
0 3 2
2 1 1
1 0 0
0 0 1
0 2 3
0 1 2
1 2 1
2 2 0
0 3 1
10 8
2 2 0
2 2 2
0 0 2
0 2 2
2 0 2
2 2 1
2 1 2
1 1 2
2 0 1
0 0 0
10 9
0 1 2
1 1 1
0 3 3
3 1 3
2 0 0
0 0 1
2 0 2
3 3 1
3 2 2
1 3 0
10 2
0 0 1
2 1 1
3 0 1
3 0 0
1 0 3
0 1 3
1 3 3
1 2 1
0 1 0
1 1 2
10 7
0 1 3
1 0 1
2 3 2
0 2 3
0 0 1
0 1 1
0 2 1
3 1 1
0 1 2
0 3 3
10 6
1 3 0
3 3 0
2 2 3
2 1 1
2 3 0
0 1 3
1 3 1
3 1 1
1 0 0
2 1 3
10 4
2 0 0
0 1 2
0 2 2
0 0 2
2 0 2
1 2 1
2 2 1
0 1 1
0 2 1
1 0 0
10 9
1 0 1
2 2 2
2 0 0
1 0 0
1 2 2
0 2 0
0 0 2
0 2 1
0 0 0
2 0 1
10 4
0 2 0
2 1 2
0 1 2
2 0 1
1 2 1
0 1 1
1 1 2
1 1 0
0 0 2
1 2 2
10 9
0 0 3
3 3 3
3 2 0
2 0 3
2 1 0
0 1 2
0 0 0
0 2 1
1 1 0
0 3 2
10 4
0 2 1
1 1 2
1 3 3
1 1 0
2 3 2
3 1 3
3 2 2
2 1 3
1 1 1
3 1 1
10 3
2 0 0
1 1 2
1 2 0
0 2 1
2 2 1
2 0 2
1 2 1
0 0 1
2 1 1
2 2 0
10 3
3 2 0
2 2 0
0 3 3
3 1 2
3 0 1
0 3 1
0 0 2
0 1 2
2 3 0
1 1 1
10 9
0 1 0
2 1 0
3 1 2
3 2 3
3 3 3
2 1 2
2 0 0
3 3 2
2 1 3
2 3 1
10 4
1 1 3
0 0 1
3 2 3
3 0 0
3 2 0
0 3 0
1 3 0
2 3 1
3 0 1
1 2 2
10 3
1 1 1
2 1 0
2 0 0
2 0 1
2 2 1
1 0 1
1 2 1
0 2 2
1 1 2
0 0 1
10 5
2 1 1
1 3 2
0 2 2
0 3 2
3 0 2
3 1 0
2 0 0
3 2 1
0 3 1
2 1 2
10 9
2 2 0
1 0 2
2 1 0
1 0 1
0 2 2
0 0 0
1 1 2
0 1 0
1 1 0
1 0 0
10 4
0 0 2
2 0 2
2 1 0
1 1 0
0 0 1
1 0 0
2 2 2
0 2 0
1 2 1
0 1 0
10 7
1 3 3
3 1 0
3 1 2
1 0 2
0 1 1
2 2 3
3 0 0
3 3 3
2 3 0
0 3 2
10 6
1 1 1
0 2 2
1 2 2
2 1 2
1 2 0
1 0 2
2 0 1
2 0 0
1 1 2
2 2 0
10 8
2 1 0
1 1 2
0 0 2
0 0 1
0 1 2
1 0 2
2 2 0
2 1 1
2 1 2
2 0 2
10 5
2 1 3
1 0 0
0 0 3
0 1 3
1 0 1
0 0 1
2 1 1
3 0 2
2 2 1
3 3 3
10 6
2 1 1
3 3 2
0 0 0
3 1 1
3 0 0
2 2 1
1 2 1
0 2 1
1 3 0
2 0 3
10 7
2 3 3
2 1 0
1 3 1
2 3 0
3 0 1
0 2 0
0 2 1
1 2 1
1 3 2
3 1 1
10 8
2 1 1
1 2 3
3 0 1
0 1 0
2 3 2
2 0 0
1 2 0
0 1 1
3 1 2
1 0 1
10 5
2 1 2
2 0 1
0 1 2
1 0 1
2 2 2
0 2 2
0 0 2
1 2 0
2 0 0
2 2 1
10 8
2 2 1
2 1 0
0 0 2
2 0 2
0 0 0
2 2 2
0 1 1
0 2 1
1 0 2
1 1 1
10 2
3 2 1
3 3 3
3 0 3
3 3 0
1 3 1
1 0 0
2 0 3
3 3 1
2 0 1
2 0 0
10 3
3 1 1
0 1 1
0 0 2
1 1 3
3 1 3
1 3 1
2 3 2
2 2 0
2 2 2
2 3 3
10 4
1 3 2
0 0 3
2 0 2
1 2 1
2 1 1
2 1 3
2 3 1
2 2 0
0 3 0
3 0 1
10 9
1 0 2
0 0 1
1 2 2
0 0 0
2 2 2
0 1 0
0 2 0
2 0 0
2 0 2
1 1 2
10 5
1 2 0
2 1 0
3 0 3
2 3 3
2 1 3
1 2 1
2 1 2
0 2 2
1 1 2
1 0 3
10 3
1 0 3
3 3 1
0 0 0
2 1 0
1 3 2
0 2 3
2 0 3
3 2 3
0 2 0
2 2 3
10 3
2 1 1
2 2 1
0 2 1
1 0 1
1 2 1
2 2 0
1 0 0
0 0 0
0 1 1
1 0 2
10 8
3 3 2
0 1 0
1 3 0
0 1 1
3 0 3
1 2 2
1 1 3
0 2 3
3 0 2
3 2 0
10 9
0 1 3
3 0 0
3 3 0
1 2 2
2 1 2
0 3 0
1 3 3
2 0 3
3 3 2
1 0 1
10 7
2 1 2
2 3 3
3 2 3
0 0 2
0 1 3
1 0 1
1 3 2
3 1 0
2 0 2
2 0 0
10 4
1 1 1
1 2 3
0 1 2
0 3 1
2 3 1
0 1 1
3 2 2
1 3 0
0 2 3
3 3 1
10 5
2 0 1
2 2 1
1 2 0
0 2 2
1 1 0
0 1 1
1 0 1
0 2 0
0 2 1
0 0 2
10 9
2 1 0
1 1 3
0 0 3
2 3 0
2 2 3
1 3 2
2 1 1
0 1 1
1 2 1
0 2 3
10 4
0 1 1
1 0 0
2 2 2
2 1 2
2 1 0
1 0 2
1 2 0
1 0 1
0 1 2
2 0 2
10 9
1 1 0
2 2 3
1 2 3
0 0 1
2 3 0
3 1 3
2 2 0
0 1 2
3 0 1
0 0 2
10 7
2 2 3
1 3 2
0 1 1
0 0 2
3 3 0
0 0 3
1 2 0
0 3 0
3 1 0
0 2 1
10 3
1 3 2
0 2 2
3 3 2
2 3 3
1 0 0
0 0 1
0 0 3
1 0 1
0 2 1
3 1 2
10 3
3 2 0
1 0 2
3 0 2
1 3 1
0 0 3
3 2 2
2 0 0
0 2 1
0 2 3
2 1 0
10 7
2 0 0
1 2 2
0 1 1
0 2 1
0 0 2
2 0 1
0 1 0
0 2 2
0 1 2
2 1 0
10 6
2 0 0
1 0 0
3 3 1
2 0 1
1 1 3
2 2 0
1 2 0
2 1 3
0 2 3
1 3 1
10 2
3 1 0
0 2 3
0 2 1
2 1 1
2 0 1
3 2 2
1 2 0
1 0 3
0 2 2
3 1 2
10 5
0 3 3
1 1 0
0 1 0
1 2 1
1 2 2
3 2 1
1 3 2
2 0 2
3 3 1
2 3 3
10 8
0 3 3
3 1 2
3 2 0
0 0 3
1 2 3
1 3 1
0 3 0
2 1 1
1 2 2
0 2 1
10 8
2 3 3
1 0 1
1 3 3
0 3 2
2 3 1
1 3 0
0 1 1
0 1 3
0 3 3
0 0 2
10 5
0 1 2
2 0 2
1 1 0
1 2 1
0 2 2
2 2 2
0 2 1
1 0 1
0 0 1
0 0 2
10 5
2 2 1
1 1 2
2 0 2
2 0 1
1 0 0
1 1 1
1 2 0
1 0 1
0 0 2
0 2 1
10 9
2 1 1
1 0 2
2 2 2
2 1 2
2 0 2
1 2 2
0 0 1
1 2 1
1 2 0
0 0 0
10 4
0 2 1
0 0 0
2 2 1
1 0 2
0 1 1
1 2 0
2 1 1
2 1 2
2 2 2
0 0 1
10 5
1 0 2
1 0 1
1 2 2
2 0 0
1 2 1
0 1 1
2 0 2
0 0 1
0 1 0
1 2 0
10 9
0 2 1
2 1 2
1 2 2
2 0 2
0 0 0
1 1 1
0 0 1
1 1 2
0 1 0
2 2 1
10 8
2 2 1
1 0 1
1 1 0
1 3 2
0 2 0
3 2 2
2 0 0
0 1 1
1 2 1
0 3 0
10 8
0 2 2
0 0 1
1 0 2
2 1 2
2 1 1
2 0 0
0 1 1
2 1 0
2 2 0
0 0 2
10 9
2 2 1
3 1 0
3 3 2
2 3 3
1 2 1
1 2 2
0 0 1
0 2 1
3 2 0
2 1 0
10 5
2 1 0
0 3 3
0 2 0
0 3 2
1 2 2
2 2 0
1 0 0
1 1 3
3 0 1
0 1 3
10 6
0 0 2
2 0 0
0 0 0
2 2 1
2 2 0
1 2 1
2 0 2
0 2 2
2 1 2
1 2 2
10 3
2 0 2
2 2 1
1 1 1
0 2 2
0 0 2
2 1 0
1 1 2
2 2 2
2 1 1
2 0 0
10 3
2 2 0
2 0 2
0 0 2
1 1 0
0 2 0
0 2 1
0 1 2
2 1 1
0 1 1
2 0 0
10 8
0 0 0
1 1 0
2 0 1
2 0 2
0 1 1
2 0 0
0 0 2
0 2 2
2 2 0
1 2 0
10 5
0 2 2
0 1 2
2 0 0
2 1 2
2 1 0
1 1 2
2 1 1
0 0 0
1 0 0
1 1 0
10 7
2 2 1
0 2 0
1 0 1
2 1 0
1 0 0
1 0 2
2 2 2
0 0 0
0 1 2
1 1 0
10 8
2 3 0
0 2 1
2 0 0
0 2 2
3 0 1
2 1 0
1 2 0
1 0 0
3 1 0
1 1 1
10 6
0 0 2
2 1 0
1 2 0
2 0 0
0 1 0
0 0 0
0 2 0
0 2 2
1 0 2
1 2 2
10 2
0 3 3
1 0 2
0 1 1
0 0 2
2 2 2
1 0 1
2 1 3
1 2 3
3 1 0
1 3 0
10 6
0 1 0
1 2 0
0 1 1
0 0 2
1 0 0
2 2 0
1 2 1
0 0 0
2 0 1
1 0 2
10 9
1 1 3
3 0 1
2 2 0
0 1 3
0 0 2
3 0 3
0 3 1
1 2 0
1 2 3
2 2 3
10 4
2 1 0
2 1 2
0 2 0
1 1 1
1 2 2
1 0 1
0 0 1
2 2 1
2 2 2
1 2 1
10 3
2 1 2
2 1 0
0 2 1
0 1 1
2 0 1
2 1 1
1 0 0
2 2 2
0 0 1
0 2 2
10 2
0 1 2
1 0 0
2 2 1
1 0 1
2 0 2
1 0 2
0 1 0
1 1 1
1 1 0
2 0 1
10 7
1 3 0
2 3 0
1 2 0
3 1 3
2 0 0
0 0 0
3 3 1
2 0 2
3 0 0
3 3 0
10 2
1 0 0
0 1 2
1 0 2
1 0 1
2 1 0
1 2 0
2 2 2
0 2 1
2 1 1
0 0 0
10 5
1 1 3
3 3 1
2 2 2
2 0 1
3 0 2
2 3 3
0 3 2
1 2 1
3 2 0
3 0 1
10 6
3 1 3
0 0 2
0 2 2
1 2 3
3 1 1
3 0 2
1 0 0
2 2 1
3 2 2
0 2 1
10 4
3 0 3
2 0 3
3 3 3
1 3 0
3 1 2
3 1 1
2 3 3
0 3 2
0 2 3
2 3 0
10 5
3 3 3
1 3 0
1 2 0
1 3 2
3 2 2
2 0 3
0 0 3
1 2 3
1 3 3
3 2 0
10 4
2 2 0
0 2 1
2 2 2
1 0 1
1 1 0
0 0 0
1 2 1
2 0 1
1 2 2
1 2 0
10 4
0 2 1
2 2 1
0 1 0
3 2 0
3 3 0
1 1 2
1 1 0
0 2 2
2 2 2
3 1 3
10 9
0 0 2
1 2 0
0 2 2
1 2 2
0 0 1
0 2 0
0 0 0
0 2 1
1 0 2
2 2 2
10 8
0 0 0
0 1 1
1 0 1
0 2 2
1 2 1
0 2 1
2 1 0
0 1 2
1 2 2
1 2 0
10 8
1 2 0
1 1 1
0 0 2
2 1 0
2 1 2
1 2 1
0 2 2
1 0 2
0 1 2
2 1 1
10 2
0 2 0
3 1 1
1 2 3
3 0 2
0 0 0
2 3 3
1 1 3
3 2 1
2 2 2
0 1 1
10 4
1 0 2
0 2 0
1 1 2
2 1 2
0 0 2
2 2 0
0 1 2
0 0 1
1 2 0
2 2 1
10 4
3 3 2
0 1 3
0 3 3
2 0 3
2 3 1
1 2 0
3 3 3
3 3 1
1 1 2
3 1 1
10 9
0 0 2
1 1 0
2 1 0
1 0 0
0 0 1
1 1 1
2 2 2
2 0 2
0 2 1
1 0 1
10 3
0 0 1
1 0 2
0 1 1
0 0 2
2 1 1
2 1 0
0 1 0
1 2 1
1 0 1
2 0 0
10 7
2 2 2
0 1 1
0 1 0
2 0 1
0 0 2
0 2 2
0 2 1
1 1 0
1 2 2
2 0 0
10 2
0 1 0
2 1 2
0 2 2
2 1 1
1 2 0
2 0 2
1 1 0
2 1 0
1 2 2
1 1 1
10 5
1 3 3
0 1 1
0 3 3
2 1 2
1 3 0
0 3 0
0 1 0
3 0 1
3 3 2
1 2 2
10 9
0 2 1
0 3 2
3 0 0
2 0 2
2 2 1
3 3 1
2 3 0
0 1 0
2 1 2
3 0 1
10 5
3 0 3
1 3 2
1 0 3
3 3 1
3 3 3
3 2 2
3 1 2
3 1 1
1 2 3
3 2 3
10 4
0 0 1
0 1 1
0 0 2
2 2 0
1 1 2
1 0 1
0 0 0
1 2 2
2 1 1
2 0 1
10 7
2 2 0
1 2 0
1 0 3
0 2 3
0 2 2
2 1 0
0 3 1
1 2 3
1 0 2
2 3 1
10 3
1 0 1
1 1 1
2 2 2
0 0 2
0 1 2
0 2 0
2 0 2
0 0 0
0 2 2
2 0 0
10 5
0 2 0
3 3 1
3 2 0
1 0 0
2 0 2
1 2 0
0 1 0
0 0 1
1 2 1
1 2 2
10 6
2 0 0
1 1 1
2 1 2
0 2 0
2 0 2
1 2 2
2 0 1
1 1 0
1 0 1
0 0 2
10 2
2 1 0
1 1 1
2 2 2
2 0 2
2 2 1
0 1 2
0 0 2
2 0 0
0 1 0
1 0 1
10 8
2 0 2
1 0 0
1 1 2
2 2 0
2 1 1
2 0 1
0 2 0
0 2 1
1 1 1
2 1 0
10 6
1 2 0
2 1 1
3 1 2
3 0 0
2 1 3
0 3 1
3 1 3
1 2 1
0 1 0
3 3 1
10 7
2 3 2
2 2 3
2 3 1
3 0 2
0 3 1
1 3 0
2 0 1
1 1 3
2 3 3
0 2 0
10 3
0 0 0
1 1 0
2 1 1
0 1 1
1 1 1
2 2 1
1 2 1
2 1 2
0 1 2
1 1 2
10 2
0 2 2
1 1 1
0 2 0
2 2 0
1 0 1
0 1 2
0 0 0
1 1 2
1 2 1
1 0 2
10 9
2 2 1
2 1 0
0 2 2
0 0 0
1 2 2
1 1 2
2 1 1
0 2 0
0 1 0
1 2 1
10 8
1 1 0
2 2 1
2 3 1
2 3 3
1 1 2
2 1 3
1 3 3
3 3 1
3 3 0
1 3 2
10 5
2 2 1
0 2 1
2 3 1
3 3 1
1 3 0
2 2 2
1 0 0
0 0 2
0 1 3
2 1 1
10 6
0 0 2
1 2 2
0 0 0
2 2 0
1 2 0
0 0 1
1 1 0
0 1 2
2 0 2
2 2 1
10 7
1 1 1
2 2 3
2 1 0
1 1 3
0 3 0
1 0 0
1 0 2
3 2 0
3 3 1
2 1 2
10 4
1 2 3
0 3 0
2 0 0
0 1 1
3 2 0
2 0 2
3 3 1
3 3 0
0 0 3
3 1 3
10 4
2 1 3
1 0 2
3 0 0
3 0 2
2 3 3
3 2 3
3 1 3
2 2 1
2 0 3
3 0 1
10 3
0 1 0
0 0 0
0 0 2
1 2 0
0 2 2
2 2 1
1 1 0
2 0 1
1 0 2
2 2 0
10 8
3 3 0
0 3 3
3 1 1
2 0 1
0 0 3
0 1 2
3 2 1
1 0 1
2 2 0
0 2 2
10 4
0 2 3
0 3 1
1 2 0
3 2 3
2 3 0
3 2 2
3 0 2
0 3 2
3 1 2
2 2 3
10 6
2 1 2
0 0 1
2 2 0
2 0 0
2 3 3
3 2 3
1 3 3
0 2 1
2 1 1
3 0 0
10 9
2 0 2
0 2 1
0 0 0
0 1 2
2 2 1
0 2 2
2 0 0
1 1 1
0 1 0
2 0 1
10 9
0 0 0
2 2 1
2 2 0
1 1 1
0 2 0
2 1 2
2 0 1
1 0 0
1 0 1
0 1 2
10 5
3 2 3
1 2 1
2 3 1
1 0 2
3 3 3
3 3 0
0 2 3
3 3 2
3 2 0
1 3 1
10 5
0 1 2
2 1 2
2 0 0
2 1 0
0 1 1
2 1 1
1 0 1
1 2 2
2 0 2
1 0 0
10 7
2 2 1
1 1 1
3 1 1
1 0 3
3 2 1
0 2 3
1 2 1
3 1 2
0 3 1
0 2 0
10 8
1 2 2
1 0 0
0 0 2
1 1 2
2 0 1
0 1 2
2 1 0
2 2 0
1 1 1
0 2 2
10 5
3 0 0
0 3 2
2 0 3
0 1 2
1 1 0
2 2 3
1 0 2
2 0 1
3 0 2
2 1 1
10 3
2 1 1
3 1 2
3 3 3
2 1 3
1 1 0
0 0 0
0 1 3
3 0 3
1 3 1
2 0 3
10 5
3 2 2
1 0 2
1 1 1
2 1 1
3 3 1
2 2 2
2 2 0
2 1 3
0 2 3
3 3 0
10 2
1 1 2
3 2 2
1 1 0
1 0 3
3 3 1
0 0 3
3 0 1
0 2 1
0 1 2
0 1 1
10 5
3 0 2
1 1 2
1 3 1
2 0 1
1 0 0
3 2 0
3 3 3
3 1 3
1 3 0
1 1 0
10 7
0 0 2
0 1 1
2 1 1
1 2 2
2 2 0
0 0 1
1 2 0
0 2 0
1 0 1
1 1 1
10 2
0 1 1
3 1 0
1 0 0
2 3 2
3 1 3
2 1 2
1 1 0
1 3 2
2 2 0
0 3 3
10 6
0 0 0
2 2 0
2 2 2
2 0 2
1 0 1
0 0 2
1 0 2
2 2 1
2 1 2
2 1 0
10 7
2 0 0
0 1 0
1 0 1
1 1 2
0 2 2
2 0 1
2 2 0
1 2 1
2 0 2
0 0 0
10 7
1 1 1
3 1 0
2 1 2
3 3 2
1 3 2
3 2 3
0 0 1
1 2 1
3 1 3
1 0 3
10 6
1 0 2
2 2 3
1 3 3
0 3 2
3 2 0
3 0 0
2 3 3
3 2 3
2 3 1
0 1 0
10 5
3 1 1
3 2 0
1 1 3
0 2 0
2 2 2
0 1 3
3 1 3
0 3 3
1 3 0
2 2 1
10 2
1 2 0
0 3 3
1 2 3
3 1 3
2 2 2
3 0 1
0 1 2
0 0 0
2 3 2
2 1 3
10 8
0 0 2
0 2 3
3 3 1
3 2 2
3 1 2
0 3 2
0 2 0
0 1 2
2 3 1
0 1 1
10 4
1 0 0
1 2 0
2 2 1
0 0 1
0 2 2
2 1 0
1 1 0
0 0 2
2 0 0
1 1 1
10 7
1 0 1
2 1 1
0 1 2
1 0 0
0 0 2
0 0 0
0 1 0
1 0 2
1 1 1
2 2 2
10 4
1 1 0
1 1 1
2 0 2
1 0 2
1 0 0
0 1 1
1 2 2
1 2 1
2 2 2
1 1 2
10 6
2 0 1
1 0 2
2 1 0
0 2 0
2 1 1
0 0 0
0 1 0
2 2 1
0 0 1
1 1 2
10 8
1 2 0
2 1 1
0 1 1
2 0 0
0 1 2
0 2 1
0 0 1
1 2 2
0 2 0
2 2 0
10 3
0 1 0
2 2 1
1 1 2
0 2 1
2 1 0
2 2 0
2 1 2
1 0 1
2 1 1
0 0 2
10 4
2 0 0
2 2 1
2 0 1
0 0 2
1 0 2
1 2 0
0 2 1
1 1 0
2 1 2
0 2 2
10 7
2 1 2
0 0 0
1 2 2
0 1 1
2 0 0
1 2 0
0 1 0
0 1 2
1 1 1
0 0 2
10 3
1 1 2
0 3 3
1 1 1
0 3 1
3 1 3
2 3 1
1 2 0
3 0 0
2 1 0
3 0 1
10 9
3 0 0
0 3 1
1 1 0
1 2 2
3 1 3
2 3 1
2 2 0
0 0 2
1 0 1
3 1 2
10 2
3 3 1
3 1 1
1 2 2
3 3 3
0 2 2
0 0 3
1 0 3
1 1 1
0 0 0
0 2 0
10 9
2 2 2
1 2 2
1 1 1
2 1 0
1 2 1
1 0 2
1 1 0
1 1 2
0 1 2
0 2 1
10 2
1 0 1
2 0 1
1 1 2
0 2 0
0 1 1
0 0 0
0 0 2
2 2 1
2 1 0
0 0 1
10 7
2 0 0
1 0 3
1 3 3
1 0 2
0 0 2
1 0 0
0 2 3
1 2 1
3 3 3
3 0 1
10 8
1 2 1
1 2 3
0 1 3
2 0 1
0 2 0
2 2 3
3 3 1
2 3 1
1 1 2
0 2 2
10 7
1 0 0
2 0 0
1 1 0
2 1 0
0 1 0
0 2 2
2 2 2
1 2 1
0 0 2
1 2 2
10 3
0 2 1
0 1 0
2 0 0
1 1 0
0 1 1
2 2 1
0 0 2
2 0 2
2 0 1
1 1 1
10 4
3 2 2
0 3 0
0 2 0
3 2 1
3 0 3
1 0 1
1 1 0
2 1 2
2 2 1
3 1 1
10 6
1 2 0
1 1 2
2 1 0
0 0 1
2 1 1
1 1 0
0 1 1
1 2 1
0 2 0
1 0 0
10 2
0 1 1
1 0 1
2 1 0
1 1 1
1 0 2
0 0 1
1 2 0
2 0 2
2 1 1
1 1 2
10 9
0 2 2
0 1 2
1 1 0
2 1 0
1 2 1
1 2 0
1 0 0
2 2 0
1 1 1
2 1 1
10 3
1 0 0
2 3 2
2 0 1
1 1 1
1 1 3
2 2 1
1 2 1
1 1 2
0 3 3
1 1 0
10 5
2 0 0
2 0 1
2 1 2
0 2 2
0 2 1
1 1 2
1 2 0
2 3 3
0 0 3
3 0 1
10 7
2 1 2
2 1 0
1 1 3
3 1 1
0 3 2
1 2 0
3 3 3
2 2 1
0 2 2
0 3 3
10 6
2 1 3
3 1 0
0 0 3
2 3 2
1 0 0
0 1 1
0 1 3
0 3 3
2 2 0
1 2 1
10 5
0 1 2
1 0 0
0 1 0
1 1 1
1 2 1
1 0 1
1 1 0
2 0 2
2 1 2
0 0 2
10 4
2 2 1
0 0 2
0 1 1
1 2 0
2 1 2
1 2 1
1 0 1
2 1 0
0 0 1
0 0 0
10 4
2 2 0
1 1 0
2 0 2
0 0 2
2 2 2
1 1 1
2 0 1
0 1 2
1 2 2
2 1 2
10 6
0 0 3
3 0 0
2 3 3
0 1 0
3 3 2
0 2 1
2 3 1
0 3 1
0 1 2
3 0 2
10 8
1 2 2
0 2 2
0 3 2
2 0 0
0 1 2
1 3 2
3 3 1
1 0 3
2 1 3
3 2 1
10 4
1 3 3
0 3 3
0 0 2
1 0 1
3 1 1
2 2 0
3 3 0
0 2 2
0 0 1
0 2 0
10 9
0 3 0
1 3 2
3 3 2
1 3 1
0 1 1
3 0 0
2 2 1
3 1 3
3 1 2
1 1 1
10 5
0 2 0
2 2 1
1 1 1
2 0 0
2 2 2
1 2 2
0 2 2
0 1 1
0 1 0
2 1 2
10 8
1 1 3
0 1 0
1 0 0
2 3 0
1 1 0
2 2 1
0 1 3
0 2 3
3 2 1
2 3 1
10 5
0 2 2
1 0 0
1 1 1
2 2 2
2 0 2
1 0 1
2 1 1
2 1 0
1 1 0
1 2 0
10 2
2 2 2
0 1 2
2 0 1
1 2 2
1 2 1
0 1 1
1 1 2
2 1 1
2 0 0
0 2 2
10 3
1 0 1
2 1 1
0 2 2
2 0 0
0 1 2
0 1 0
0 0 1
0 2 1
1 2 0
1 0 2
10 7
1 3 1
0 0 3
2 0 0
0 3 1
1 1 0
0 0 2
1 1 1
3 0 0
3 3 3
3 1 1
10 3
2 2 2
1 1 0
0 1 1
2 1 0
2 0 0
1 0 1
2 0 2
1 1 2
0 1 2
2 2 1
10 6
1 2 1
0 3 1
0 2 2
0 3 0
2 1 2
2 0 1
0 1 1
2 3 0
1 3 0
0 1 2
10 9
0 1 1
0 0 1
0 0 0
2 0 3
3 2 0
0 3 3
3 3 0
1 2 0
2 0 0
0 1 2
10 4
1 1 0
1 1 1
2 2 0
2 0 0
1 1 2
0 1 1
0 0 0
0 0 2
0 1 0
1 2 1
10 6
1 2 3
3 1 2
2 2 0
0 1 0
0 3 2
2 2 1
1 1 2
0 3 1
0 2 0
1 3 2
10 4
1 2 2
2 1 1
2 2 0
0 2 0
1 1 0
1 2 1
0 1 2
2 2 2
2 2 1
0 2 2
10 2
2 2 2
1 1 1
0 2 0
2 0 1
0 1 1
0 0 2
1 0 0
2 1 0
0 0 0
1 0 2
10 3
2 0 2
0 2 0
0 1 1
0 2 2
1 0 1
0 1 0
2 1 2
1 1 1
2 0 0
1 1 0
10 5
2 2 2
2 1 1
3 3 2
0 2 3
0 2 0
1 1 1
0 3 1
1 2 1
1 0 2
2 2 0
10 3
3 3 1
3 3 3
3 2 0
0 1 0
3 1 1
1 3 3
1 2 3
3 3 2
0 1 2
0 0 3
10 2
0 3 0
3 3 0
2 0 2
2 3 0
1 1 2
1 1 3
2 3 1
3 2 1
2 2 2
1 2 1
10 6
1 2 2
0 2 0
2 0 1
0 2 2
1 0 2
1 2 1
2 1 1
0 0 1
0 1 2
2 1 0
10 2
0 2 0
1 2 2
1 0 2
0 0 0
0 0 2
2 2 0
0 0 1
1 2 1
2 0 0
1 1 2
10 2
1 0 0
2 2 2
0 3 0
2 1 0
0 0 0
1 3 3
3 1 0
0 2 0
1 1 2
2 0 2
10 9
0 0 0
2 3 0
2 2 1
1 1 0
2 2 2
1 3 0
1 0 2
1 2 2
0 2 3
0 0 2
10 9
3 2 2
1 1 2
3 0 0
0 1 2
1 0 3
1 2 3
2 1 3
0 3 0
3 2 3
0 0 3
10 7
1 0 1
1 0 2
0 2 0
1 2 2
2 2 1
2 0 1
1 0 0
0 1 0
2 1 1
0 0 0
10 7
0 2 0
0 1 0
0 1 1
2 1 2
1 0 1
2 0 1
2 1 1
0 0 0
1 2 2
2 1 0
10 6
1 2 2
0 0 1
0 1 0
0 2 0
1 2 1
2 2 0
2 1 2
0 1 1
2 0 0
1 2 0
10 2
1 1 0
0 0 1
0 2 1
2 0 1
0 1 2
2 1 2
1 0 1
1 1 1
2 2 1
0 2 2
10 2
1 1 2
3 3 2
1 3 1
0 1 2
0 0 2
2 0 3
3 3 0
0 1 0
2 0 1
3 1 3
10 4
1 1 0
1 2 1
2 0 0
0 2 2
0 2 1
2 2 0
1 1 1
0 1 2
0 1 1
2 2 2
10 2
1 0 3
1 1 3
3 0 2
1 0 0
2 1 3
3 0 1
3 0 3
2 0 1
1 2 1
0 1 3
10 7
0 2 3
1 0 3
2 0 2
3 2 0
2 2 2
1 0 1
3 3 2
0 3 2
2 1 3
0 2 1
10 5
2 0 1
2 1 1
3 1 3
3 2 2
3 0 3
0 0 1
2 2 2
0 3 3
2 0 0
3 3 2
10 9
0 3 1
2 2 0
0 1 3
2 0 0
1 3 0
0 0 2
3 1 3
0 2 1
1 2 0
3 0 2
10 7
1 0 1
2 0 1
1 2 0
0 0 2
1 1 2
0 2 0
2 1 1
1 2 2
0 0 0
2 1 2
10 3
1 1 1
2 2 1
0 0 2
0 1 1
1 2 2
1 1 2
0 2 1
2 0 2
0 0 0
0 1 0
10 9
0 2 3
2 2 0
0 0 0
0 3 0
2 1 1
0 0 1
1 1 0
1 0 1
1 3 3
3 1 2
10 4
0 3 1
0 2 2
1 3 0
1 0 0
0 2 1
2 0 0
2 3 2
2 1 1
2 3 0
3 0 2
10 5
3 3 0
0 3 3
2 1 2
3 3 1
0 0 2
0 0 0
3 0 1
0 2 2
0 0 1
0 3 2
10 8
0 0 2
1 1 2
1 2 0
2 1 0
2 2 1
1 2 2
2 1 1
2 1 2
0 2 0
0 0 1
10 8
1 3 2
1 3 1
3 1 3
2 0 0
3 0 1
2 0 2
2 3 2
1 1 0
2 2 2
2 0 1
10 6
2 1 1
0 2 0
0 2 1
1 2 1
1 2 2
0 0 0
1 2 0
1 1 0
2 1 2
0 0 2
10 9
1 0 0
1 1 0
3 2 2
0 3 0
3 1 0
2 1 1
1 3 1
0 2 0
2 3 1
3 1 2
10 5
0 3 3
1 1 3
3 2 1
2 0 2
2 3 1
0 0 0
1 2 1
3 3 2
3 0 1
3 0 2
10 6
1 2 3
2 0 1
0 0 0
2 0 0
1 3 3
1 1 1
1 0 2
2 3 0
3 1 1
3 2 2
10 5
2 3 0
1 1 2
2 3 2
1 3 3
0 3 3
1 0 3
3 2 3
3 1 1
1 3 1
1 2 1
10 5
3 0 1
3 1 1
1 0 0
0 3 0
0 3 1
0 1 0
1 3 3
2 0 0
3 1 0
2 1 0
10 5
0 0 2
2 0 1
1 0 1
1 2 0
1 2 1
1 0 2
0 1 2
2 0 2
1 1 2
2 2 0
10 9
1 3 1
2 0 0
1 2 0
1 1 3
0 3 3
0 2 2
2 1 0
0 1 2
3 2 1
0 2 3
10 7
0 0 0
3 3 1
3 3 0
3 0 3
3 1 0
0 0 1
2 0 1
0 1 0
1 0 2
2 2 3
10 4
1 0 2
2 1 1
2 2 0
2 0 1
2 1 2
1 2 2
1 0 0
0 0 1
0 2 1
1 0 1
10 5
1 1 1
2 2 1
2 2 2
1 2 1
0 0 1
0 1 1
0 0 0
1 1 2
0 2 0
2 1 1
10 8
0 1 1
2 1 1
2 2 2
2 1 2
0 0 1
2 0 0
0 1 2
1 2 2
0 0 2
1 0 2
10 8
2 2 2
1 2 0
2 2 1
1 2 1
0 2 1
2 1 1
0 0 1
1 1 1
0 0 2
2 1 2
10 2
1 0 1
2 0 2
1 2 0
1 0 2
2 1 0
1 1 0
1 1 1
2 2 0
1 2 2
0 0 0
10 8
3 0 2
0 3 1
0 2 3
0 1 0
3 0 3
3 0 1
2 2 3
1 0 1
2 3 2
3 3 2
10 4
2 2 0
2 0 0
1 1 1
1 0 2
0 1 2
2 1 2
1 0 1
0 2 0
1 0 0
0 0 1
10 7
1 3 3
3 3 0
1 0 3
2 1 2
2 2 0
3 1 2
1 2 3
1 0 0
3 1 1
0 3 0
10 6
1 1 0
0 0 0
2 1 0
1 1 2
0 0 2
0 1 2
0 2 1
2 1 1
2 2 2
2 1 2
10 2
3 0 1
2 3 3
3 0 2
0 1 2
3 2 0
3 0 3
2 3 2
0 3 0
0 0 3
3 0 0
10 3
3 2 1
1 1 1
2 0 3
2 2 0
1 2 0
3 1 0
3 0 0
1 3 3
0 3 2
2 3 0
10 6
2 0 1
0 2 2
0 0 0
2 0 0
2 2 0
2 2 2
1 1 1
1 0 2
0 2 1
0 0 1
10 2
2 1 0
0 0 0
1 0 1
1 1 2
1 2 1
2 0 1
2 2 1
0 0 1
0 1 2
1 1 0
10 3
3 3 1
2 2 3
1 2 0
3 2 2
3 0 1
0 1 2
1 1 2
0 2 2
3 1 0
1 1 3
10 6
1 1 1
0 0 1
1 2 0
0 2 1
2 2 2
1 0 1
2 1 1
0 1 2
1 2 2
2 0 1
10 5
1 0 0
2 1 0
1 2 3
0 3 3
3 0 3
1 1 2
0 3 2
1 3 0
0 2 1
2 0 0
10 3
3 2 1
1 0 1
1 2 2
3 2 3
2 1 1
3 0 1
1 0 0
0 0 1
3 0 0
1 1 0
10 9
1 2 2
2 0 0
0 2 0
0 1 2
0 0 2
2 1 0
1 0 1
2 1 2
2 2 0
0 2 2
10 7
1 1 3
1 3 0
1 1 2
3 3 3
1 2 2
0 3 2
2 1 0
1 2 3
3 0 1
0 3 3
10 9
3 2 1
2 3 0
0 0 2
3 3 3
0 2 1
2 2 2
1 2 2
3 1 2
2 0 1
0 0 3
10 6
0 3 3
2 1 0
3 2 0
1 1 3
3 1 0
0 3 2
2 1 3
0 2 3
0 1 2
3 1 1
10 4
3 0 0
2 0 3
3 2 1
0 2 2
1 0 0
2 1 3
1 3 3
2 1 1
0 3 3
0 2 1
10 2
2 0 1
1 2 1
0 0 2
2 0 2
0 0 1
1 2 2
0 1 2
2 1 2
1 1 0
1 2 0
10 3
0 2 3
1 0 0
2 1 2
2 1 3
3 1 2
2 2 3
1 1 3
0 0 2
3 3 2
0 3 1
10 4
1 0 2
2 0 1
0 1 1
2 0 2
2 0 0
0 2 0
0 2 1
1 2 0
1 0 0
0 1 0
10 5
1 1 1
1 0 0
2 1 1
0 2 1
0 1 1
1 0 1
2 0 2
1 1 0
0 2 2
1 2 1
10 8
1 1 0
1 0 2
0 2 1
2 0 2
2 1 1
0 0 1
1 2 2
0 0 0
2 2 0
1 2 0
10 6
3 2 1
2 1 1
1 0 0
3 0 1
1 1 1
2 3 3
2 0 0
3 2 2
2 3 1
0 2 0
10 7
1 3 2
3 3 2
1 1 1
2 0 2
0 2 1
3 3 0
2 2 2
2 0 1
3 2 2
0 0 2
10 5
3 0 2
3 1 1
3 2 2
0 3 3
3 1 2
0 2 1
0 0 1
2 0 2
0 1 2
1 2 3
10 5
0 0 0
1 2 0
2 0 2
2 1 2
0 2 1
2 1 1
0 2 0
1 0 0
1 2 1
2 2 2
10 2
2 2 1
1 2 1
1 1 0
2 1 1
1 2 2
0 2 0
2 2 2
0 2 2
0 0 1
0 0 0
10 2
3 3 0
0 3 0
0 0 3
1 0 1
1 3 0
1 2 2
3 0 3
0 3 2
1 1 3
3 2 3
10 7
0 2 1
2 2 0
2 2 2
0 2 2
1 0 0
0 1 0
2 0 1
1 1 0
1 2 0
0 0 1
10 9
2 2 0
2 1 0
0 1 1
1 1 1
1 1 0
0 2 0
2 1 2
1 1 2
1 0 2
2 0 1
10 7
1 3 0
1 1 3
0 1 0
2 0 1
2 2 3
3 0 0
0 0 2
1 2 0
2 2 0
0 1 2
10 6
2 0 2
1 0 1
0 1 2
1 0 0
0 2 1
2 2 0
0 0 1
1 1 0
1 1 1
0 0 2
10 7
0 0 0
1 2 0
2 1 0
1 2 2
1 0 2
3 1 2
1 3 3
0 2 0
3 3 1
2 1 2
10 5
2 2 2
2 0 2
0 2 0
1 1 0
1 1 1
1 0 0
2 0 1
1 2 0
1 2 1
2 1 2
10 7
0 0 2
1 0 1
0 2 0
2 1 2
1 1 1
1 2 2
1 0 2
0 0 1
0 1 2
1 2 1
10 2
0 0 0
2 0 0
1 2 0
2 1 2
1 0 1
0 0 2
0 2 1
1 2 2
2 2 1
1 1 2
10 8
3 0 3
0 0 2
2 1 0
3 3 0
1 0 2
1 1 0
1 3 3
0 2 3
0 2 2
2 2 1
10 4
1 3 0
2 0 2
3 2 3
0 2 1
3 1 0
3 2 2
0 0 0
0 0 1
1 0 0
3 0 1
10 8
3 1 1
0 2 0
1 2 1
0 2 2
2 0 0
2 2 2
0 2 3
0 0 0
3 3 2
1 2 3
10 6
2 2 2
1 2 3
2 0 0
0 0 2
2 3 0
2 2 0
0 3 3
1 3 0
1 1 1
0 0 0
10 9
3 0 0
2 3 2
3 2 2
3 2 1
1 1 1
1 3 3
1 0 2
0 0 1
0 2 0
0 1 0
10 6
0 2 2
2 0 0
0 1 2
1 0 1
1 2 1
0 0 2
1 2 2
0 1 0
0 2 0
2 0 2
10 8
1 2 1
0 0 0
0 1 0
2 0 0
0 2 1
2 2 1
2 0 2
1 1 0
2 0 1
1 0 1
10 5
3 3 2
0 1 2
1 1 0
1 2 2
1 3 0
1 0 0
2 3 0
1 3 3
1 2 1
1 2 3
10 8
2 1 2
0 0 2
2 0 1
1 0 2
2 2 2
1 2 0
0 2 0
1 2 1
1 1 0
1 0 0
10 4
3 1 0
0 1 0
1 2 0
3 1 2
3 2 1
2 0 1
2 2 1
2 1 2
0 2 0
0 3 1
10 7
3 2 2
0 0 3
2 0 3
3 1 1
3 0 0
2 3 0
2 3 1
2 0 2
3 2 3
3 0 1
10 7
1 1 1
1 2 1
0 1 0
0 0 1
2 2 1
2 1 2
2 0 2
0 1 2
0 2 0
2 0 0
10 5
2 2 0
1 1 0
2 2 2
0 0 2
0 2 1
2 0 0
1 0 0
1 2 1
2 2 1
0 0 0
10 8
1 0 1
1 0 3
0 3 0
3 1 2
2 3 0
2 0 3
3 1 1
0 0 3
0 2 3
3 3 1
10 8
1 0 1
2 0 3
2 0 1
1 1 2
1 1 1
3 2 3
0 1 2
0 2 2
0 3 3
3 1 0
10 9
0 2 1
1 1 1
0 1 0
1 2 1
0 0 0
1 0 1
0 2 2
2 0 1
2 2 2
2 2 0
10 3
1 0 1
2 1 2
1 2 2
2 0 0
0 1 0
1 2 1
1 2 0
0 0 1
1 1 2
1 0 2
10 9
1 0 0
2 0 1
1 1 1
0 1 2
2 2 0
2 0 0
2 1 2
1 0 1
2 1 1
1 2 0
10 4
3 3 2
3 2 0
0 3 2
1 2 0
1 0 3
0 3 0
3 3 3
2 3 3
0 2 1
0 2 2
10 5
2 0 3
2 0 2
3 2 0
3 3 3
3 2 3
1 3 3
2 2 0
1 0 3
0 2 1
0 3 3
10 6
2 1 1
2 1 0
2 2 0
3 2 0
1 1 1
0 1 2
0 0 3
3 2 2
1 0 0
3 0 2
10 5
2 1 1
2 0 1
0 1 0
1 1 1
0 0 1
2 0 2
2 1 0
2 2 0
1 0 0
2 0 0
10 7
1 1 0
2 1 2
0 0 2
2 0 2
0 1 1
1 0 1
0 2 0
2 0 0
1 1 2
0 1 2
10 8
2 2 2
2 2 1
1 1 1
0 2 1
1 1 2
2 0 0
2 1 0
1 0 2
0 2 0
1 1 0
10 6
0 1 0
0 3 0
0 3 2
2 0 1
0 2 1
3 1 1
1 3 1
0 2 3
0 3 3
1 0 0
10 5
3 1 1
3 0 1
3 2 2
2 1 2
1 2 2
2 2 0
1 0 1
3 2 1
0 0 3
3 3 2
10 4
0 2 1
3 2 1
2 2 2
2 0 3
0 3 2
3 1 1
1 1 1
1 3 2
1 3 0
2 1 1
10 3
2 1 0
0 0 1
0 2 0
0 0 2
0 2 1
2 2 2
2 2 1
0 1 0
1 2 0
0 2 2
10 4
1 1 0
2 0 0
0 2 2
2 1 0
2 2 0
0 0 1
0 2 1
0 2 0
0 0 2
2 1 2
10 8
1 1 3
2 0 3
1 2 2
1 3 2
0 0 2
0 3 2
0 0 1
2 0 2
3 3 2
3 3 3
10 2
0 0 0
2 0 1
2 2 1
1 1 2
2 0 0
1 0 2
1 1 1
2 0 2
1 0 1
0 1 2
10 6
3 0 0
3 2 0
3 0 2
1 3 3
1 3 1
1 3 2
1 2 3
2 2 3
1 0 3
1 0 1
10 6
2 0 1
2 2 2
1 2 0
1 2 1
0 2 0
2 1 2
1 0 0
0 0 1
2 2 0
0 1 1
10 9
0 1 2
1 1 0
0 0 1
3 1 2
0 0 2
3 0 3
0 0 0
1 3 1
1 0 2
0 3 0
10 5
2 0 2
0 0 2
1 1 2
1 0 0
1 1 1
1 0 1
0 1 2
2 1 2
1 2 2
2 1 1
10 2
2 1 3
0 0 1
1 0 3
1 0 2
1 2 3
3 3 2
2 2 0
1 0 0
0 3 3
3 1 3
10 9
1 0 1
2 2 0
1 0 0
2 1 2
1 1 0
0 2 1
0 1 2
1 2 2
1 1 1
0 0 1
10 3
2 0 2
0 2 0
2 0 0
1 3 0
2 2 3
0 3 2
0 1 0
2 1 0
0 3 3
2 3 1
10 8
0 2 0
0 0 2
1 1 1
1 1 2
1 3 1
3 0 1
2 3 1
2 1 1
0 0 0
2 3 0
10 8
2 1 1
0 2 2
2 0 1
1 1 1
0 0 0
1 0 1
1 0 2
1 2 0
1 1 2
0 1 0
10 4
1 0 0
1 2 2
0 0 1
2 1 2
0 1 0
1 1 0
0 1 2
0 1 1
2 0 0
1 2 0
10 8
2 1 1
2 3 0
1 2 1
1 3 0
3 1 2
2 2 1
2 1 0
1 1 0
2 2 0
2 3 2
10 5
1 2 0
0 0 2
1 0 1
0 1 0
1 1 1
0 2 2
2 1 0
0 2 0
2 2 1
1 1 2
10 3
1 1 2
2 3 2
0 2 3
3 0 1
3 0 0
3 2 2
1 1 1
3 1 1
2 2 1
1 2 1
10 4
2 0 2
2 2 1
2 1 0
0 2 0
0 1 1
2 1 2
1 0 1
1 1 2
0 1 0
0 0 0
10 9
1 0 2
0 0 0
1 1 0
1 2 2
1 2 0
2 2 2
2 1 0
0 1 1
2 1 2
0 2 0
10 4
3 3 0
3 0 1
1 1 0
0 1 0
2 3 0
2 1 0
1 3 3
0 2 0
2 2 2
3 0 3
10 8
1 3 2
2 0 0
0 3 0
2 1 1
3 3 0
1 0 3
2 0 2
0 2 1
0 3 3
0 1 0
10 5
2 1 1
3 0 0
2 3 2
1 2 1
0 1 0
3 3 1
0 1 3
2 2 0
2 0 1
3 0 1
10 3
2 1 0
0 3 3
1 2 0
0 1 0
3 2 0
2 2 0
3 3 0
0 0 3
0 1 1
2 2 3
10 5
0 1 1
2 1 3
3 0 2
1 3 3
2 2 2
1 0 0
0 2 0
1 1 3
0 1 0
1 0 1
10 8
0 2 3
1 1 1
2 2 3
2 3 3
0 0 1
1 2 3
1 3 1
0 1 1
3 1 3
1 3 2
10 4
3 0 3
0 0 1
1 0 3
2 1 2
1 3 3
3 3 1
0 3 3
2 0 3
1 1 3
3 3 2
10 4
0 1 2
2 2 2
2 0 1
1 2 2
0 1 0
1 1 2
1 0 2
0 2 0
2 1 1
0 1 1
10 8
0 0 2
2 0 0
0 2 0
2 1 0
1 2 1
1 0 2
1 0 1
1 2 0
0 1 1
0 1 0
10 7
1 2 1
2 2 1
1 0 0
2 2 2
2 0 1
1 1 0
2 1 1
1 0 1
1 2 0
2 2 0
10 3
2 1 3
0 1 0
2 0 1
2 2 0
0 1 2
2 3 0
1 2 3
1 0 0
1 1 3
1 3 3
10 6
1 3 1
0 3 2
0 1 2
0 0 2
1 2 2
0 1 3
3 0 0
3 0 2
3 0 1
0 1 1
10 3
0 2 0
2 1 2
1 2 1
2 1 1
2 2 2
1 2 0
1 1 2
1 2 2
2 1 0
1 1 0
10 5
1 2 1
1 1 1
1 1 0
2 2 2
1 1 2
2 1 1
1 2 2
0 0 1
1 0 2
0 1 2
10 2
0 0 2
0 2 1
2 1 1
2 1 0
1 2 1
2 2 0
2 0 2
2 2 2
1 0 2
2 0 0
10 2
2 2 0
0 1 0
0 1 2
0 2 2
0 0 1
1 1 0
2 2 1
1 1 2
2 0 1
1 2 2
10 2
1 1 0
2 1 1
3 3 1
0 0 2
2 1 2
1 1 2
2 1 0
0 0 3
3 3 3
2 3 0
10 4
0 1 2
0 3 0
0 2 0
1 0 2
2 3 2
1 1 2
0 0 2
1 2 2
2 0 0
0 2 1
10 9
2 0 0
0 0 0
1 0 1
2 1 2
1 2 0
0 2 1
0 0 1
2 0 2
1 1 2
2 1 0
10 6
0 2 1
2 0 0
0 0 2
0 2 0
0 0 0
0 1 2
2 2 0
2 0 2
1 0 1
1 0 0
10 2
1 0 0
2 1 3
3 0 0
0 0 3
3 3 0
0 1 1
0 1 2
1 3 2
1 1 0
0 2 2
10 2
0 2 1
0 2 2
1 0 1
0 1 1
0 0 0
0 0 1
0 2 0
1 1 2
1 0 2
1 0 0
10 3
0 0 0
0 2 1
1 3 3
1 3 1
2 3 3
0 2 2
3 2 0
2 1 2
2 2 1
3 2 3
10 2
0 1 0
0 2 0
1 2 0
2 2 0
2 1 0
0 0 1
1 0 2
0 2 2
2 0 0
2 1 2
10 5
3 2 2
0 0 3
2 0 0
0 2 3
0 2 1
0 0 1
2 3 0
1 1 3
1 0 3
2 0 3
10 7
0 1 3
2 2 2
0 0 1
2 2 3
3 3 0
2 3 2
0 3 1
3 0 2
1 0 2
3 0 0
10 4
0 0 1
1 0 0
2 1 0
0 2 1
1 2 1
1 0 2
0 1 0
0 1 1
2 0 0
2 0 1
10 5
2 0 0
0 2 0
0 0 1
2 2 2
1 1 1
2 0 1
2 2 1
2 1 2
1 1 0
0 1 1
10 3
2 2 2
0 2 2
2 2 1
2 1 2
0 2 0
1 0 2
0 0 0
0 1 0
0 2 1
1 0 1
10 8
3 1 1
0 3 3
3 0 0
0 1 0
0 1 1
2 0 3
1 2 2
0 2 2
3 3 0
0 0 3
10 2
3 1 1
3 1 0
0 3 3
2 3 3
1 3 1
2 2 2
3 3 2
3 2 1
1 2 1
2 0 3
10 7
1 0 2
0 1 1
2 2 2
3 1 3
0 1 0
2 0 1
3 2 0
3 2 2
1 3 2
2 1 2
10 2
0 2 2
1 3 1
1 3 3
3 0 0
0 1 1
1 1 1
3 1 3
0 3 0
0 0 0
0 1 3
10 3
1 3 0
1 0 0
2 3 0
2 0 0
2 1 3
3 1 3
3 0 1
3 0 3
0 0 3
2 0 3
10 9
2 3 3
3 2 1
0 3 2
0 3 0
3 0 2
1 3 3
2 2 0
1 2 0
0 3 1
2 0 2
10 8
2 2 2
3 3 3
0 0 3
0 1 0
2 3 1
3 3 2
3 2 3
1 1 3
1 0 0
1 0 1
10 3
3 3 1
2 2 0
2 0 1
0 1 2
1 2 0
3 3 0
3 0 3
0 0 3
0 3 1
0 1 0
10 9
1 0 1
2 2 0
1 1 0
1 2 0
1 2 1
2 0 2
2 1 2
0 2 1
0 0 0
2 0 0
10 2
2 1 1
3 3 1
0 2 0
1 1 2
0 3 0
2 1 2
3 1 1
1 0 1
2 0 1
0 0 2
10 7
2 0 2
0 2 2
2 1 1
0 1 1
0 1 0
2 0 1
2 1 2
2 2 1
0 0 0
1 1 2
10 9
2 0 0
1 0 2
0 2 0
1 0 1
2 2 0
1 2 2
2 0 1
0 2 1
1 2 0
2 2 1
10 2
2 0 3
2 0 0
3 3 1
0 3 1
1 1 1
0 3 3
2 3 3
1 2 0
0 0 2
1 2 3
10 2
1 3 3
0 2 3
3 2 0
1 2 1
0 2 2
2 1 1
3 0 1
0 3 0
0 1 2
2 3 2
10 4
0 0 3
2 1 1
3 2 1
1 2 2
0 1 0
2 3 0
2 2 2
3 0 3
2 3 3
3 1 3
10 3
0 2 0
2 1 1
1 0 0
0 0 2
0 2 2
1 0 2
1 2 0
1 2 2
1 2 1
0 0 0
10 9
2 1 0
0 0 0
1 0 0
2 1 1
2 1 2
0 0 1
1 1 0
0 2 0
0 1 1
1 1 2
10 2
0 3 2
0 2 1
1 3 3
3 2 1
0 1 2
3 3 1
2 1 3
2 0 2
0 2 0
3 2 2
10 4
0 0 2
0 3 0
0 3 3
1 3 1
1 2 0
2 3 0
2 0 2
0 3 1
2 3 3
0 2 0
10 7
0 0 0
1 1 1
0 2 1
1 2 0
1 0 0
1 1 0
1 1 2
1 2 1
1 0 1
0 0 1
10 5
0 1 1
1 0 1
2 2 0
1 0 2
2 0 1
1 2 0
0 0 1
1 0 0
2 1 0
2 1 1
10 8
1 0 1
1 2 1
0 1 2
2 0 0
2 0 1
0 0 1
0 0 2
1 1 2
2 1 0
1 0 2
10 4
1 0 1
1 1 0
1 0 0
2 2 2
0 1 1
1 2 1
0 1 0
1 0 2
1 2 2
2 2 1
10 9
2 1 1
2 3 2
3 3 1
0 1 1
3 1 3
1 1 2
0 2 1
1 3 1
1 1 1
0 0 1
10 9
3 0 1
0 2 0
1 1 1
0 0 3
1 3 0
1 1 2
0 0 1
0 0 2
3 3 0
0 2 3
10 3
1 1 3
3 1 0
2 1 1
1 2 3
2 3 0
0 3 0
2 3 3
3 2 3
1 0 0
3 3 2
10 4
3 3 0
1 0 3
1 2 0
0 3 0
1 3 0
1 1 3
2 3 1
0 0 0
0 0 3
0 1 1
10 8
2 2 0
0 2 0
0 0 1
0 1 0
2 2 1
2 0 2
2 1 2
1 1 0
0 2 2
1 0 0
10 7
3 0 3
1 0 2
2 0 3
1 0 1
0 0 2
3 3 2
1 1 1
0 3 2
3 1 2
2 1 3
10 7
0 3 3
2 0 0
3 0 1
3 2 0
3 3 1
0 0 2
1 0 0
3 1 2
0 0 0
2 2 3
10 3
2 2 0
1 2 0
0 0 1
1 0 0
2 0 2
1 0 2
0 0 2
0 1 2
2 0 0
0 2 1
10 4
0 2 0
1 1 0
2 2 2
1 1 2
2 1 0
0 2 2
1 2 2
0 1 0
2 2 1
1 2 1
10 6
1 0 2
1 1 2
2 1 1
0 2 2
2 2 1
0 0 0
2 2 0
2 2 2
1 1 1
1 1 0
10 3
0 0 0
0 0 3
1 3 3
3 2 3
2 2 0
3 3 3
1 2 3
2 1 3
3 0 0
0 2 0
10 9
1 3 1
0 0 3
2 2 0
3 1 1
2 3 1
1 0 1
3 2 3
2 1 1
0 0 1
1 0 0
10 5
0 3 0
1 3 1
3 0 0
0 1 1
0 2 1
1 3 0
2 1 3
1 1 1
1 1 2
2 0 0
10 2
2 2 3
1 3 2
3 0 2
2 0 3
3 0 1
0 2 3
1 1 3
2 1 1
3 2 0
0 0 2
10 7
0 0 1
3 2 2
2 3 3
0 2 3
3 3 0
1 1 1
1 3 2
3 0 2
0 1 3
2 0 0
10 6
2 1 0
1 1 1
0 1 2
0 2 0
2 1 2
2 0 0
2 2 1
2 0 1
0 2 2
1 0 2
10 4
1 1 3
0 3 0
3 0 2
1 0 0
1 0 3
2 0 3
0 1 3
0 3 3
2 1 3
3 3 1
10 5
1 2 2
1 0 1
2 0 2
0 0 0
0 0 2
0 1 2
2 1 0
2 2 1
1 1 0
0 2 1
10 5
1 1 2
0 1 0
0 0 2
0 1 2
1 0 0
2 1 2
0 1 1
0 0 1
1 2 0
2 0 2
10 7
1 1 2
2 1 1
2 2 0
2 0 1
2 1 2
2 2 1
1 0 2
0 1 2
1 2 0
0 2 2
10 5
3 2 1
2 1 0
0 1 3
1 0 0
0 1 0
3 3 2
3 0 2
1 0 3
3 1 2
0 0 0
10 5
1 0 2
3 0 1
1 3 0
1 2 1
2 1 1
0 0 1
2 2 2
3 3 2
1 2 2
0 1 2
10 6
2 0 2
1 2 0
0 1 2
1 1 1
0 2 2
2 0 1
0 0 0
2 1 0
0 2 1
0 1 1
10 6
0 0 0
2 2 2
0 2 1
1 1 2
0 2 0
2 0 1
1 2 1
2 1 0
0 0 1
2 2 0
10 5
1 0 2
1 1 1
0 2 1
0 2 0
1 1 0
0 2 2
0 0 0
2 1 2
1 2 1
2 2 0
10 7
2 2 2
3 1 0
3 0 0
1 0 2
2 1 1
0 0 2
2 0 2
0 2 3
1 3 2
3 3 0
10 2
1 1 0
2 0 0
2 2 0
0 1 1
0 0 0
2 1 1
1 1 2
1 0 2
1 0 1
0 0 2
10 5
1 0 0
2 1 1
1 0 2
0 1 1
0 0 1
2 0 2
0 0 0
2 2 1
0 2 1
2 1 2
10 7
0 2 0
2 0 1
2 1 2
1 1 2
2 0 2
1 1 1
2 2 2
2 0 0
1 2 0
1 0 0
10 2
3 3 2
2 3 1
1 1 0
3 2 0
3 0 0
2 1 2
1 3 0
0 0 1
1 2 2
0 3 0
10 3
1 1 2
0 2 1
1 0 2
2 0 0
0 0 1
2 2 2
1 1 1
0 2 2
2 2 1
1 2 0
10 7
2 3 0
3 1 1
1 2 3
3 2 1
0 0 0
2 3 1
3 1 3
1 0 3
2 0 0
2 2 2
10 2
2 0 3
0 0 3
3 1 3
2 3 1
0 1 1
2 0 1
1 0 1
0 1 3
0 1 2
2 2 0
10 2
0 2 2
0 2 3
0 3 3
3 1 2
3 2 2
2 3 1
2 3 2
2 1 1
0 0 1
3 2 0
10 9
1 1 3
1 3 2
0 1 0
3 3 3
3 0 3
1 0 1
2 2 2
2 2 1
3 2 0
2 1 3
10 7
1 0 2
1 0 1
0 0 2
0 2 1
0 2 0
0 0 1
2 0 2
0 2 2
2 2 0
1 2 0
10 2
2 0 0
2 1 2
0 3 0
0 0 1
3 2 2
2 1 1
3 0 1
1 3 0
1 0 1
2 1 3
10 4
0 1 1
2 0 0
2 2 2
2 0 1
0 1 2
2 1 1
1 1 2
0 0 1
0 0 2
1 2 1
10 8
1 1 2
0 1 1
0 2 0
1 0 0
0 2 1
1 1 1
0 0 1
0 2 2
2 2 1
2 0 2
10 5
0 2 2
1 2 2
2 0 2
1 1 1
2 1 0
1 1 0
1 0 0
2 2 1
0 0 0
2 1 2
10 2
0 2 3
0 0 1
3 3 2
3 0 2
2 3 0
3 3 1
1 1 2
3 1 2
3 2 3
3 2 0
10 3
1 1 2
1 0 0
0 0 0
2 1 2
2 0 1
1 2 2
2 0 2
0 0 2
0 2 2
2 1 0
10 2
2 2 0
1 2 0
0 0 2
2 1 1
1 1 1
0 0 0
2 0 1
2 2 1
0 1 2
0 2 2
10 9
1 0 0
3 2 2
0 3 0
3 1 0
1 2 1
3 0 2
0 2 3
0 0 1
0 2 2
3 0 3
10 2
2 1 1
2 0 2
0 1 2
2 2 0
1 0 0
1 1 1
0 1 1
1 0 1
1 2 2
0 2 1
10 2
2 3 0
0 2 3
3 1 2
1 0 0
0 1 2
1 0 3
0 3 3
2 2 3
1 3 0
2 1 3
10 5
3 0 1
2 3 1
1 0 2
0 1 1
3 2 3
3 3 0
3 2 2
1 0 0
2 1 2
3 0 0
10 5
1 1 0
0 2 1
2 2 1
2 0 2
2 0 1
0 1 2
0 2 0
1 2 2
2 1 2
0 0 0
10 8
2 2 1
2 3 1
2 2 3
3 0 1
1 0 3
2 1 3
0 1 0
2 1 1
2 3 2
3 3 1
10 2
3 3 1
3 1 3
2 1 3
2 2 1
3 3 2
0 1 0
2 0 0
3 0 2
0 3 3
1 2 2
10 9
2 1 1
1 1 0
0 2 1
0 2 2
1 0 0
1 0 1
2 2 2
0 2 0
2 2 1
2 0 0
10 4
1 1 2
1 1 1
0 1 1
1 0 2
0 0 1
0 2 0
2 2 0
2 2 1
0 0 2
1 2 0
10 6
1 1 3
2 2 0
3 2 1
0 3 1
0 3 0
2 0 2
0 0 0
3 3 1
1 0 2
2 0 0
10 8
3 3 2
3 2 0
0 2 2
2 2 0
2 2 2
3 3 0
0 0 2
3 3 1
2 3 1
1 2 0
10 4
3 2 0
0 0 3
2 3 2
0 2 3
3 2 2
3 3 2
3 1 3
0 0 0
1 2 3
3 3 1
10 6
1 3 3
2 0 3
3 2 3
1 3 0
1 0 2
3 3 3
0 0 2
0 0 3
3 2 1
1 1 1
10 3
1 1 2
3 1 1
2 3 1
1 2 0
0 0 0
3 2 0
0 2 0
0 0 3
3 3 2
2 1 1
10 7
1 0 3
1 3 0
0 2 1
0 0 2
3 1 3
0 1 0
2 3 0
3 0 2
2 2 3
0 2 3
10 2
0 0 0
2 0 1
0 0 1
2 1 1
1 0 1
1 0 0
2 0 0
1 2 0
0 1 0
2 2 2
10 5
2 0 2
1 2 0
1 0 1
2 0 0
2 1 2
1 2 2
0 2 0
0 1 1
0 1 0
2 0 1
10 9
2 3 3
0 0 0
0 0 2
1 1 2
3 2 3
2 0 3
2 0 1
0 0 1
1 0 3
3 3 1
10 9
1 3 3
1 0 1
1 3 0
3 3 0
3 1 0
1 0 0
0 0 1
2 1 2
3 0 3
1 2 0
10 4
0 0 2
2 1 2
2 1 1
0 2 0
2 0 0
1 0 1
2 2 1
0 0 1
0 0 0
1 2 0
10 6
1 1 2
2 1 0
2 0 0
1 2 1
1 2 0
0 0 0
2 1 2
0 0 1
0 1 2
1 0 1
10 7
0 3 0
3 0 2
2 3 1
3 0 0
3 3 2
2 1 1
1 2 2
1 3 2
2 3 2
0 1 1
10 9
2 0 2
0 2 1
2 0 0
2 1 2
0 0 0
0 1 1
1 2 0
0 0 2
1 1 0
1 0 1
10 9
1 3 2
0 0 1
0 3 1
1 2 0
2 1 0
2 3 3
3 0 1
1 0 1
2 3 0
3 0 3
10 9
1 0 0
2 1 1
1 0 1
2 0 2
0 0 0
1 1 2
0 2 1
0 2 0
2 2 2
1 1 0
10 2
1 3 0
2 0 1
0 3 0
1 1 1
2 3 2
1 1 0
3 3 2
0 0 2
3 1 1
0 3 2
10 3
1 2 0
2 0 2
0 0 2
1 1 0
2 0 1
2 2 2
0 0 1
2 1 0
0 2 1
1 0 1
10 7
0 1 0
3 2 1
1 2 1
1 1 0
3 0 0
3 3 3
1 1 1
2 0 0
0 2 1
1 0 0
10 4
1 3 1
0 0 2
3 0 0
2 1 1
3 2 3
0 3 1
1 2 3
3 1 1
2 3 0
0 2 2
10 9
3 2 1
1 3 3
3 2 3
1 0 3
3 1 2
1 1 0
2 1 1
1 2 1
3 1 0
0 0 0
10 8
2 2 1
1 0 0
2 0 2
0 0 1
0 2 1
0 1 2
2 0 1
0 2 0
2 1 0
1 1 2
10 9
3 2 3
2 3 3
1 3 1
0 0 1
2 0 2
0 2 3
3 0 1
2 3 1
2 1 2
2 1 0
10 6
3 3 0
1 2 0
1 2 3
0 0 2
3 1 1
1 1 2
2 0 2
2 3 0
0 0 0
2 1 2
10 7
1 0 1
1 2 2
0 1 2
1 1 0
0 1 1
0 0 1
0 2 2
2 2 2
0 1 0
1 0 2
10 9
1 1 0
0 0 1
0 1 1
1 0 0
2 0 2
1 0 1
0 0 0
2 2 0
0 2 1
0 1 2
10 4
2 2 2
1 0 1
1 1 2
2 1 0
1 0 0
2 0 0
0 2 1
2 2 0
0 1 2
2 1 1
10 2
3 1 3
1 1 2
0 0 1
2 3 2
1 2 1
3 3 0
0 2 3
0 3 3
0 0 0
1 1 0
10 8
2 1 0
2 3 0
2 0 2
2 1 1
1 3 0
0 3 1
3 3 1
0 0 1
3 0 2
3 0 1
10 2
1 2 0
0 2 3
1 1 1
2 0 3
3 0 3
0 3 3
2 1 2
2 3 3
3 1 0
2 1 0
10 9
0 2 0
0 2 1
1 0 0
1 2 2
2 1 2
2 1 1
1 2 0
0 1 1
0 1 0
1 1 2
10 9
0 2 0
0 1 1
1 0 0
3 2 1
3 1 3
3 0 0
0 3 3
1 0 1
2 3 3
0 3 2
10 6
2 0 0
1 2 0
1 1 0
1 0 0
2 1 2
0 1 2
1 0 1
2 0 1
2 2 2
1 1 2
10 2
1 0 1
2 0 1
0 0 2
0 2 2
0 2 1
2 2 1
2 0 0
1 2 2
0 0 1
2 2 2
10 8
1 2 1
0 2 0
2 2 1
0 1 1
2 1 1
2 1 2
0 0 2
0 2 1
1 0 1
1 2 0
10 3
0 1 2
1 1 1
1 3 2
3 2 3
3 0 0
0 3 0
3 1 2
3 1 1
0 2 2
2 3 2
10 8
1 1 2
0 1 1
2 0 1
1 2 1
2 0 2
2 2 0
0 1 2
2 1 0
2 0 0
0 0 2
10 5
0 2 1
1 1 1
2 2 0
2 2 2
2 1 0
0 1 1
1 2 2
1 1 0
0 2 2
0 2 0
10 8
1 2 2
1 2 1
0 2 3
1 0 3
3 0 1
3 3 3
2 0 3
2 1 2
1 1 0
3 0 3
10 2
0 1 1
0 0 1
0 2 2
2 1 0
2 2 1
2 0 1
0 1 2
0 0 0
2 2 0
1 0 2
10 3
2 0 2
0 1 2
1 2 1
1 1 2
2 1 1
0 1 1
1 0 1
2 2 2
1 2 2
2 0 1
10 3
2 1 0
2 1 2
0 1 0
2 2 0
0 2 0
2 2 1
1 1 1
2 0 1
1 0 0
0 1 1
10 9
3 2 0
1 0 3
0 3 2
1 2 0
0 1 0
2 2 0
0 1 2
2 0 0
2 1 3
2 0 3
10 6
3 3 0
3 0 0
0 0 3
0 3 3
2 2 1
0 3 1
1 2 1
1 1 3
2 3 2
2 0 3
10 3
2 0 2
1 0 1
1 1 2
1 1 0
2 2 1
2 2 2
1 2 2
1 1 1
2 0 0
0 0 1
10 8
3 2 3
0 2 0
0 3 3
2 0 3
0 0 3
3 2 0
0 2 3
1 2 0
2 1 3
3 2 1
10 2
1 1 1
2 2 0
1 2 0
1 1 0
1 2 1
2 2 2
0 1 0
0 0 0
1 2 2
1 0 2
10 6
2 1 0
0 2 2
1 3 0
0 1 3
2 0 3
2 1 2
1 2 3
1 0 2
1 2 1
0 3 1
10 7
0 1 1
2 1 1
1 2 1
1 0 1
0 0 0
2 2 1
0 1 0
2 2 0
1 2 2
1 0 2
10 5
1 1 0
3 1 1
0 3 0
2 2 0
3 2 0
1 0 1
1 2 3
1 3 0
3 0 0
2 2 2
10 4
0 2 0
0 1 1
0 0 1
1 0 0
1 2 1
1 2 0
2 0 2
0 0 2
0 1 0
0 0 0
10 3
0 0 0
2 0 0
2 0 2
1 2 0
1 1 0
0 0 1
2 1 0
1 1 2
0 2 0
1 0 1
10 7
3 3 2
1 0 1
3 0 2
2 2 1
3 1 3
2 1 3
3 0 3
2 0 3
1 3 1
1 1 2
10 8
0 3 0
1 2 3
1 2 0
3 0 0
2 0 3
0 0 3
2 0 1
3 1 3
3 0 1
2 1 1
10 4
1 0 1
1 0 0
0 0 1
0 0 0
0 1 1
0 2 0
2 0 0
2 0 1
1 2 2
1 0 2
10 4
3 0 0
3 3 2
3 3 3
3 1 0
1 0 3
0 2 3
2 2 3
1 0 2
0 0 3
0 0 0
10 2
2 2 0
1 2 1
1 1 0
0 0 1
0 2 2
0 0 0
2 2 2
2 1 1
1 1 1
0 1 0
10 8
1 1 3
2 0 0
0 3 3
1 3 2
2 1 0
3 3 2
2 2 1
0 2 3
0 1 3
0 3 2
10 8
2 3 3
2 0 1
0 3 2
1 0 1
1 1 2
2 2 3
3 0 1
1 1 0
0 2 2
2 2 2
10 9
2 1 1
2 0 2
2 2 1
1 2 1
2 2 0
2 1 2
0 2 0
1 1 1
1 2 0
0 0 1
10 7
1 1 3
0 3 0
0 1 0
2 2 3
0 3 1
2 3 1
0 0 0
1 1 0
0 2 0
1 3 1
10 6
0 1 2
0 1 1
1 2 2
2 0 1
2 1 2
0 2 0
1 2 1
0 0 0
1 1 0
1 1 2
10 4
2 1 0
1 0 2
0 0 0
2 2 0
1 1 1
0 0 1
1 1 0
0 1 1
0 0 2
2 0 2
10 7
0 3 3
2 0 2
1 0 2
0 2 3
2 2 0
0 1 2
3 0 1
2 2 3
2 1 2
0 3 2
10 2
0 1 0
1 2 0
1 0 0
1 0 2
1 2 1
2 1 2
1 1 0
2 0 2
2 1 1
2 2 2
10 5
2 3 3
1 2 3
3 0 3
3 3 0
0 1 3
1 3 1
0 0 0
1 2 1
3 0 1
3 1 1
10 8
2 1 0
1 2 0
2 0 0
0 1 0
1 0 0
1 1 0
0 1 1
0 2 2
0 2 0
1 1 1
10 9
1 2 1
1 0 2
1 2 0
2 1 0
1 2 2
1 0 0
0 2 2
1 1 2
0 2 1
2 1 2
10 4
2 1 3
2 0 0
1 0 1
2 2 3
2 2 0
3 3 1
1 3 2
1 2 1
2 3 3
3 0 0
10 5
2 0 0
1 1 1
2 1 1
1 1 0
0 0 1
2 2 2
1 2 0
0 2 2
0 0 2
1 1 2
10 2
2 3 0
3 2 1
2 1 0
1 0 1
0 2 2
3 3 3
2 0 3
0 3 2
2 0 2
1 0 0
10 8
0 0 0
2 1 0
1 1 0
2 0 2
2 1 2
1 2 2
2 1 1
1 2 0
0 2 2
2 2 2
10 6
2 0 1
2 1 2
1 0 1
0 1 2
2 2 1
0 1 0
1 2 1
2 0 0
0 0 1
2 1 1
10 9
0 2 1
1 1 0
2 0 1
0 1 1
0 0 1
0 0 0
2 1 0
0 1 2
2 2 1
2 1 1
10 4
2 2 1
3 3 3
1 3 0
1 2 2
2 2 0
3 0 3
2 0 1
3 0 1
0 1 3
2 3 3
10 7
0 0 1
0 0 2
2 1 1
0 3 0
3 2 3
2 2 1
0 2 1
1 3 3
2 0 3
1 1 1
10 7
3 2 2
2 0 2
3 1 3
2 2 3
2 0 1
3 2 0
2 3 3
0 2 1
3 0 3
1 1 0
10 4
1 2 0
0 0 3
0 2 0
3 3 3
2 2 2
3 2 0
1 1 0
2 3 2
3 2 1
2 1 2
10 8
3 0 0
1 1 1
2 2 1
3 1 1
0 2 0
2 2 3
3 2 2
0 1 2
1 1 3
0 3 3
10 2
1 2 1
2 0 1
2 2 0
1 2 2
2 1 2
0 0 0
2 1 1
2 2 2
1 2 0
1 0 1
10 6
2 0 0
0 1 2
0 1 0
0 1 1
1 0 2
2 2 1
0 0 2
1 2 0
1 1 1
2 2 0
10 2
1 0 2
0 3 1
1 3 0
0 2 3
2 3 0
1 3 1
2 2 3
0 1 0
2 2 0
3 3 2
10 8
3 3 3
1 3 3
1 0 2
1 0 1
0 2 2
2 1 1
0 3 3
1 0 3
1 2 0
0 2 3
10 3
1 0 2
0 0 1
0 2 2
0 1 1
2 1 1
1 0 1
2 1 0
0 0 0
1 2 0
0 1 0
10 5
2 0 0
0 2 1
1 0 0
2 2 2
1 0 2
0 1 2
1 2 1
0 2 0
0 0 1
0 1 0
10 9
1 2 1
0 1 0
1 1 0
1 0 1
0 2 0
1 2 2
0 0 1
2 1 1
0 2 2
2 1 2
10 2
0 2 1
2 1 1
0 2 2
1 0 1
2 1 0
1 2 1
0 0 2
2 0 2
2 0 0
1 1 0
10 2
2 3 1
1 0 1
1 1 2
2 1 0
1 0 3
2 0 1
2 0 3
3 2 3
0 2 1
3 3 1
10 3
0 2 1
3 3 2
1 2 1
2 2 1
3 2 0
1 3 1
1 2 2
0 2 2
0 1 1
1 3 0
10 9
1 1 0
2 1 1
0 2 1
1 2 0
0 2 0
2 1 2
0 0 1
1 2 1
1 1 2
2 2 1
10 4
1 1 2
1 1 0
2 1 2
2 0 2
1 0 2
0 2 0
1 2 0
0 1 0
2 2 2
0 2 2
10 2
3 3 1
2 0 2
2 3 0
1 2 0
0 0 2
2 1 0
2 2 0
0 3 0
3 3 2
3 1 1
10 3
1 2 1
0 2 2
1 0 2
0 0 1
0 0 2
2 2 2
0 0 0
2 2 0
2 0 0
2 0 2
10 4
1 0 2
1 1 2
0 2 1
0 0 1
0 2 2
0 2 0
0 0 0
1 0 0
1 1 0
2 2 2
10 9
3 2 2
2 0 2
2 1 1
3 2 1
3 0 2
0 1 2
1 2 2
3 3 2
0 2 3
3 1 1
10 5
1 1 0
0 0 0
3 3 0
0 1 2
1 3 0
1 0 1
3 0 0
1 3 2
1 1 2
1 3 1
10 7
1 0 2
3 3 2
1 2 1
3 0 0
1 2 3
3 2 1
3 3 3
3 2 0
3 1 3
3 2 2
10 3
0 1 2
2 0 2
2 2 2
2 2 0
1 2 0
1 0 1
1 2 1
2 2 1
0 2 1
2 0 0
10 5
2 1 1
1 0 0
0 2 2
1 2 1
0 0 2
0 2 0
2 2 2
0 0 0
0 1 2
1 1 0
10 5
0 1 3
0 2 3
3 3 2
3 0 1
1 3 1
3 3 0
2 3 1
2 2 1
0 0 2
3 1 3
10 5
0 0 0
0 1 1
1 0 1
2 0 1
2 1 0
1 1 0
2 2 1
0 1 0
0 2 1
0 0 1
10 4
1 0 0
2 0 2
1 0 1
2 1 2
0 2 1
0 2 0
2 2 0
0 1 0
2 1 0
1 2 1
10 2
2 1 2
2 2 0
0 2 2
1 0 0
0 0 0
0 1 1
1 2 0
1 0 1
1 1 0
2 2 2
10 8
1 2 2
2 0 1
1 1 0
0 0 2
2 1 2
0 1 2
1 0 2
2 2 1
2 1 1
1 0 0
10 2
2 3 3
3 2 1
1 1 0
0 1 1
1 1 3
3 0 2
1 2 0
0 3 1
3 1 3
1 3 0
10 5
1 2 0
0 1 2
2 0 0
1 1 2
1 1 0
2 2 2
1 0 1
0 0 1
0 2 2
0 1 0
10 6
2 3 0
1 3 1
3 0 2
2 2 3
3 0 0
2 1 0
0 2 0
1 1 3
3 3 1
1 2 1
10 4
2 2 1
1 1 1
2 3 2
0 0 3
0 0 1
1 2 3
3 2 3
1 0 2
2 2 3
0 2 1
10 6
0 3 0
2 3 0
1 2 1
0 0 2
1 2 0
0 2 1
2 1 2
0 1 1
2 1 3
0 3 2
10 5
1 1 1
1 2 0
2 2 1
0 2 2
0 1 2
0 1 0
0 0 1
1 0 2
0 1 1
2 0 2
10 9
3 2 2
0 3 1
3 3 0
1 3 1
1 2 0
2 0 3
1 0 0
2 0 2
1 1 3
3 2 0
10 7
0 0 1
1 0 0
2 3 1
3 3 1
0 3 0
1 3 0
1 1 1
3 0 0
0 3 3
0 0 3
10 2
1 1 2
0 0 1
0 1 2
2 1 0
0 2 0
1 0 0
1 1 1
2 1 1
2 0 0
1 0 1
10 4
3 1 3
1 2 0
1 1 1
1 0 1
1 1 3
3 0 2
0 0 1
1 3 0
0 1 0
0 0 2
10 9
3 1 0
2 2 3
2 0 1
3 0 3
3 1 1
2 0 3
1 1 2
3 3 0
0 3 2
1 0 3
10 5
2 1 3
3 2 3
1 1 3
2 0 2
1 2 1
3 0 3
0 2 1
3 1 0
2 3 3
3 3 1
10 5
1 0 1
2 2 2
0 1 0
1 1 0
0 2 0
2 1 0
0 0 0
2 1 2
1 2 2
1 1 1
10 6
1 1 0
0 0 0
0 2 1
0 1 2
2 1 0
1 1 1
2 0 0
0 1 0
1 2 0
2 2 2
10 7
0 2 1
0 0 0
1 1 0
1 2 2
1 0 1
0 1 2
1 0 2
0 1 0
1 2 0
2 2 2
10 8
1 1 1
0 0 1
1 1 2
2 0 2
2 0 1
1 2 1
0 1 0
0 0 2
1 0 1
0 0 0
10 5
0 0 1
1 1 0
1 0 2
1 2 3
2 0 2
0 1 2
1 0 1
3 0 2
0 3 2
2 0 3
10 5
3 2 3
3 1 0
3 1 2
2 2 0
2 2 3
3 1 3
1 1 2
3 0 2
1 0 0
1 3 2
10 2
1 1 1
0 1 1
0 2 0
0 0 0
0 0 1
1 1 2
0 2 2
2 0 2
0 1 2
1 0 0
10 8
1 2 1
0 2 0
2 0 1
1 0 1
2 3 3
1 2 0
2 0 2
0 3 1
0 2 2
3 1 2
10 9
2 1 3
3 1 0
1 2 2
0 1 2
0 2 0
1 2 3
1 3 3
0 3 1
3 0 0
2 1 2
10 3
1 0 1
2 0 0
1 2 1
1 1 0
0 0 1
2 0 1
0 2 2
0 1 2
0 0 2
2 2 2
10 8
1 1 2
1 2 2
3 3 2
3 2 1
2 1 0
3 3 1
0 3 1
2 3 0
2 0 1
0 3 0
10 4
2 1 0
2 2 2
0 3 0
0 3 1
2 1 3
3 0 3
2 0 3
3 3 3
0 3 3
3 1 3
10 5
1 1 0
1 1 1
2 3 2
1 2 0
0 2 1
0 1 1
3 2 1
2 2 0
3 0 2
0 3 3
10 5
1 0 1
1 2 3
2 2 3
2 0 2
3 2 0
1 1 2
3 0 1
3 3 0
3 1 3
0 1 0
10 5
2 2 0
1 1 1
1 0 0
0 3 1
1 3 1
1 0 2
2 3 1
3 0 0
2 1 2
0 0 1
10 8
3 0 0
1 1 0
1 2 3
0 3 0
1 3 1
3 0 2
1 0 0
1 1 1
2 0 0
2 0 3
10 3
0 2 1
0 0 3
3 2 0
1 3 3
2 1 1
3 0 1
1 0 1
1 3 2
2 0 0
2 0 1
10 2
1 0 1
2 2 1
0 0 2
2 0 2
0 1 0
1 0 0
0 1 2
0 1 1
1 1 0
2 1 0
10 6
0 0 2
2 0 1
0 1 1
0 0 0
1 2 0
1 2 2
0 1 0
0 2 2
2 2 1
1 0 0
10 4
1 2 1
2 0 1
2 1 2
0 2 0
1 0 0
1 2 0
1 2 2
2 0 0
0 0 2
0 2 2
10 8
2 2 0
2 0 1
0 1 0
0 0 1
1 0 1
1 2 2
1 1 1
2 1 2
2 0 0
1 2 0
10 2
1 0 1
0 0 1
0 1 2
1 0 0
2 0 0
0 1 1
0 0 2
0 2 2
1 2 0
1 1 0
10 8
1 2 2
0 0 3
3 2 1
1 0 2
0 2 3
1 3 2
0 0 2
2 2 2
3 2 3
0 0 1
10 8
0 1 3
0 3 0
1 3 2
3 1 1
1 1 2
0 2 1
3 0 0
2 1 3
2 2 3
1 2 2
10 4
3 1 3
1 3 1
0 2 1
0 2 3
3 0 2
0 3 1
1 2 2
2 1 2
3 1 2
0 2 2
10 9
0 3 0
2 3 1
3 3 0
1 3 3
0 1 0
3 1 0
0 0 2
3 3 1
0 1 1
1 0 1
10 7
1 2 2
0 1 1
0 0 0
0 2 0
2 1 0
0 2 1
2 0 1
2 0 2
2 2 2
2 1 2
10 8
2 2 1
2 0 1
2 2 0
0 3 3
2 0 3
2 1 1
0 3 0
1 2 0
3 2 1
3 0 1
10 5
2 0 1
1 1 2
2 2 2
2 0 0
2 1 1
0 1 0
0 2 2
0 1 1
2 2 0
1 1 0
10 4
2 2 1
1 2 2
0 2 0
2 0 2
1 1 0
2 0 1
2 1 0
0 2 2
2 2 2
1 2 0
10 8
2 2 1
3 0 3
2 1 3
0 0 2
0 3 3
3 3 2
1 2 3
3 2 1
2 2 0
0 1 3
10 8
1 2 1
2 2 2
0 0 0
2 1 1
1 0 0
1 1 2
0 2 2
2 2 1
0 2 0
1 2 0
10 9
1 0 2
0 1 0
0 2 2
1 2 2
0 0 0
2 0 1
0 2 1
1 2 0
1 0 1
2 1 2
10 4
1 2 0
2 1 1
0 1 0
2 2 0
0 2 1
2 1 0
0 1 1
1 0 1
0 0 1
0 2 2
10 3
0 0 1
1 2 1
2 3 0
3 0 0
2 1 2
2 0 3
1 3 2
1 1 2
2 3 1
0 0 0
10 3
1 2 1
0 0 0
0 1 1
3 0 0
1 0 1
3 2 1
3 0 2
1 0 0
2 0 0
1 2 0
10 9
2 1 1
0 1 2
0 2 1
0 0 0
0 2 2
1 0 1
2 0 0
0 0 2
1 1 1
0 2 0
10 7
1 0 2
1 2 1
0 1 1
2 0 0
0 0 0
2 2 2
1 0 0
2 0 1
1 1 2
2 1 0
10 7
1 1 0
2 1 0
0 1 2
0 0 2
2 1 2
2 0 0
0 1 0
2 0 2
0 1 1
1 2 0
10 7
2 2 1
2 0 3
3 2 0
3 1 3
0 0 1
2 0 0
1 0 2
3 0 2
2 3 0
1 3 2
10 8
2 2 3
1 2 0
1 3 1
1 2 2
3 0 3
1 0 0
1 2 1
0 2 1
2 3 1
1 2 3
10 4
1 1 0
1 2 0
0 2 2
0 0 1
1 0 0
0 1 0
1 0 2
2 2 2
2 0 0
2 2 0
10 7
3 3 0
2 0 0
2 0 1
0 2 0
0 2 3
1 1 1
2 1 1
1 0 3
0 1 0
0 0 2
10 9
0 0 2
2 2 0
2 1 1
1 0 0
0 1 1
0 2 2
2 0 2
2 1 0
2 1 2
0 2 0
10 9
2 2 2
1 2 2
1 2 1
0 1 2
2 0 1
1 0 1
0 1 0
1 1 1
2 1 1
0 0 1
10 5
2 1 1
1 1 1
1 1 2
2 2 2
0 0 0
2 1 0
1 2 0
0 2 1
0 1 0
2 0 2
10 5
0 0 1
0 0 0
1 2 0
0 1 1
1 2 2
0 0 2
2 0 0
0 1 2
2 2 1
1 0 2
10 8
1 2 2
2 0 1
2 2 2
2 2 0
0 2 2
1 2 1
1 1 0
2 0 2
2 1 2
0 0 0
10 7
1 1 0
0 1 1
1 2 2
0 2 2
0 0 1
1 2 0
1 1 2
0 2 1
0 1 0
2 0 0
10 9
1 2 0
0 0 3
2 3 1
1 1 3
0 3 0
1 3 2
1 1 0
1 0 3
0 3 2
3 1 1
10 6
0 0 2
0 0 1
1 2 2
1 0 2
1 1 2
0 0 0
0 1 2
2 2 0
2 1 2
2 1 0
10 6
3 2 2
0 2 3
2 2 0
3 0 3
2 3 0
2 2 1
0 3 0
0 1 3
0 0 3
2 1 0
10 8
0 1 2
3 2 3
3 3 2
0 3 0
1 2 3
1 2 2
3 3 3
1 0 2
0 2 3
3 0 3
10 2
2 3 2
2 0 0
2 1 1
2 1 3
1 2 0
3 0 0
0 3 2
2 1 2
1 0 2
0 0 0
10 7
2 2 2
1 1 1
0 0 1
2 1 1
1 1 2
0 1 0
1 1 0
0 1 1
0 0 2
1 0 2
10 2
2 1 1
1 0 2
2 1 2
1 2 0
0 0 1
2 0 2
1 2 2
2 2 1
1 0 1
1 2 1
10 3
3 2 3
1 0 2
2 2 3
1 1 1
0 0 2
1 3 3
0 1 1
2 3 2
0 3 0
3 1 1
10 6
1 2 0
0 0 0
2 2 0
1 0 0
0 2 2
0 0 2
1 2 2
2 1 1
1 1 1
2 0 0
10 2
1 2 3
0 2 3
3 1 1
0 0 3
1 1 1
2 3 1
3 2 2
3 0 3
3 3 1
2 1 0
10 6
0 2 1
2 1 2
1 2 2
2 2 2
1 2 1
1 2 0
0 2 0
1 1 2
0 1 2
2 0 2
10 7
2 0 1
0 0 0
3 0 0
3 1 3
0 1 1
1 1 1
0 2 3
0 1 2
0 1 0
3 3 2
10 2
0 0 0
1 2 1
1 1 0
2 1 1
0 1 2
2 0 1
1 0 0
2 1 0
2 0 0
0 2 2
10 3
1 0 1
0 2 1
2 2 2
0 1 2
2 0 1
2 1 2
2 2 1
0 0 2
0 0 1
1 2 0
10 4
2 3 3
2 0 0
0 0 1
1 2 2
2 2 3
2 0 2
3 1 2
0 2 3
1 2 0
3 2 3
10 5
3 2 1
3 2 0
3 3 3
0 2 1
0 3 1
0 0 3
3 0 2
1 1 1
1 0 0
3 1 3
10 4
0 2 0
2 2 2
2 1 1
1 2 1
2 1 0
1 2 2
1 1 2
2 2 1
0 0 1
0 2 2
10 5
0 1 0
1 0 0
2 0 2
0 2 0
2 0 1
2 1 2
2 2 2
1 1 2
1 2 2
2 1 0
10 6
2 1 3
3 0 2
1 0 3
1 0 2
1 3 3
2 2 2
3 0 0
0 3 2
3 2 1
0 2 0
10 7
2 0 1
2 0 0
2 3 0
2 2 3
3 2 1
2 2 0
2 3 2
3 1 2
2 1 2
0 0 2
10 2
0 0 1
3 3 1
0 1 3
2 0 1
3 1 0
0 1 1
3 0 3
1 0 1
3 1 2
2 2 0
10 7
0 2 2
2 1 0
1 1 1
3 2 1
0 2 1
3 2 2
1 3 2
1 2 2
1 1 3
0 0 2
10 6
2 2 2
1 2 2
0 2 0
1 2 1
0 1 1
2 0 2
0 0 0
2 1 1
1 1 2
2 0 1
10 8
0 2 2
1 2 1
1 1 3
3 1 1
0 2 0
2 0 1
3 1 3
1 3 1
2 2 3
1 3 0
10 2
0 3 2
1 3 3
0 2 1
2 1 2
0 0 2
0 3 0
3 0 0
0 2 2
0 1 3
1 0 1
10 2
3 2 1
3 2 2
1 1 2
0 2 2
2 3 1
3 2 0
0 1 1
0 0 3
0 3 1
2 0 1
10 2
1 2 1
2 0 3
1 1 0
3 2 0
0 0 0
3 2 1
0 2 1
1 0 0
2 0 0
0 3 2
10 5
2 0 0
2 1 1
0 2 0
0 2 1
2 2 0
0 1 0
0 0 0
0 1 1
1 2 1
2 1 2
10 7
2 1 0
1 0 2
0 0 2
1 2 0
1 1 0
2 0 1
0 1 2
1 0 0
0 0 1
2 1 2
10 8
2 3 2
2 1 2
1 2 3
3 1 1
1 1 3
3 3 2
1 1 1
2 1 1
2 3 0
0 2 2
10 8
1 1 2
2 2 2
0 0 2
0 1 0
1 0 2
1 1 0
2 1 1
2 1 2
0 1 1
0 2 0
10 7
1 0 1
2 1 0
1 2 3
1 1 3
1 3 0
2 1 2
2 3 0
2 3 2
1 3 3
2 1 3
10 8
1 1 1
2 0 1
0 2 0
1 0 1
0 2 2
1 2 0
0 0 2
0 1 2
1 1 0
2 1 0
10 5
3 0 3
1 0 2
2 2 2
2 2 0
2 2 3
0 3 3
3 0 2
2 3 1
2 0 0
1 0 0
10 9
1 1 1
1 0 2
1 1 0
2 0 2
0 2 0
2 1 2
1 0 0
0 1 0
2 2 2
1 0 1
10 4
3 2 0
2 0 2
2 3 3
3 0 2
1 3 2
3 1 2
0 2 1
1 2 1
2 3 2
0 1 2
10 5
3 0 2
0 0 3
3 2 3
1 3 1
0 3 2
3 1 1
2 2 0
2 0 2
3 2 1
0 3 1
10 2
2 2 0
2 2 2
1 2 0
0 2 1
1 1 1
1 1 2
1 2 1
1 2 2
1 0 1
2 1 2
10 3
3 1 1
2 1 2
3 2 3
1 1 3
1 1 1
2 0 0
3 0 1
1 0 2
2 3 3
3 3 3
10 4
0 1 2
2 1 2
0 0 0
2 1 1
2 2 1
1 2 2
2 2 2
1 1 2
2 2 0
1 2 1
10 9
1 1 1
0 3 0
1 0 2
0 1 1
0 3 3
2 0 2
0 2 0
3 1 1
0 2 2
3 3 1
10 8
1 0 0
0 0 2
0 0 0
0 1 0
1 1 0
1 0 2
2 2 2
1 2 0
2 1 1
1 1 1
10 7
2 2 0
2 1 0
1 3 0
3 3 1
3 0 0
0 0 3
1 3 1
3 0 1
2 2 1
0 1 2
10 9
3 3 2
0 0 3
1 3 0
0 1 0
3 0 3
3 2 0
1 3 3
0 0 0
0 3 0
3 1 2
10 5
1 1 0
2 0 1
1 1 1
0 1 2
0 0 1
2 1 2
2 2 1
1 1 2
2 0 0
2 2 2
10 7
1 2 1
0 2 0
0 0 1
2 1 0
1 2 0
1 0 1
0 2 1
0 0 0
2 0 2
2 2 2
10 2
0 1 0
0 0 2
1 2 0
0 2 1
2 1 1
2 0 1
0 2 0
2 0 2
1 1 1
2 2 2
10 3
3 2 2
2 0 0
0 3 2
2 3 1
0 0 3
3 3 3
1 1 3
1 0 1
3 2 1
3 0 0
10 6
2 0 2
0 1 1
1 2 1
0 2 0
2 0 1
2 2 0
1 1 2
2 2 2
2 0 0
1 0 0
10 3
0 2 1
1 1 0
2 1 1
2 2 0
0 0 2
0 1 0
1 1 2
1 2 2
2 1 0
0 1 2
10 8
3 3 3
1 1 2
2 3 1
3 0 2
0 1 3
0 0 0
2 2 0
2 0 2
1 1 3
1 2 0
10 6
0 3 1
3 1 1
0 3 3
0 2 1
2 2 2
0 0 0
3 1 0
0 3 2
3 1 2
3 2 2
10 6
0 2 1
0 2 2
1 1 0
2 0 1
2 1 2
0 0 2
0 1 1
1 0 1
0 1 2
2 2 0
10 5
0 1 2
1 2 3
1 3 0
1 0 3
3 1 0
0 0 2
3 1 2
3 3 3
1 3 3
1 1 3
10 3
2 3 3
2 2 1
2 0 3
2 3 0
2 1 0
1 1 2
0 3 0
1 1 3
1 0 2
3 2 2
10 5
0 1 0
2 0 0
1 0 0
2 0 2
2 2 0
0 2 1
1 0 1
2 1 1
2 1 2
0 0 0
10 3
2 0 1
1 1 2
0 1 2
2 2 2
0 0 1
1 0 2
2 0 2
0 0 2
2 1 1
0 1 0
10 4
1 1 3
1 3 0
2 2 2
3 1 0
0 1 2
1 0 0
2 0 2
2 3 2
1 1 2
2 3 0
10 8
2 3 2
1 0 2
0 3 1
3 2 2
2 1 2
0 3 0
1 2 2
1 2 3
0 1 1
2 2 3
10 8
0 0 2
0 0 0
2 2 1
0 1 1
1 1 0
2 1 0
2 0 1
1 0 0
1 2 1
0 2 1
10 5
1 3 2
2 3 1
2 3 3
2 1 2
1 1 2
1 0 2
1 3 1
0 3 3
0 3 2
0 0 0
10 2
0 1 2
1 3 0
1 0 1
0 2 1
1 0 2
1 1 3
0 2 3
3 1 3
2 1 1
2 3 2
10 3
1 0 0
1 1 1
2 2 0
2 0 0
1 2 2
0 1 1
1 2 0
0 2 1
0 2 0
1 1 2
10 3
0 0 0
0 0 1
2 0 2
2 1 2
0 1 2
1 0 2
0 2 2
1 0 0
2 1 0
0 1 1
10 7
2 0 1
3 1 1
3 0 0
0 2 2
3 3 1
0 1 3
3 2 3
2 0 2
0 3 3
3 2 1
10 7
2 1 1
0 2 1
3 3 2
0 1 0
0 2 3
3 2 1
0 2 0
3 2 3
1 2 3
2 2 0
10 8
3 1 1
3 0 0
0 2 1
2 0 1
3 2 0
2 1 3
3 0 3
0 1 1
1 2 1
0 3 3
10 4
0 1 1
1 1 3
2 3 0
2 0 1
2 1 3
3 3 1
3 3 3
2 0 0
1 1 2
3 1 2
10 2
2 0 0
1 0 1
0 2 1
1 0 2
0 2 2
1 1 0
1 2 1
2 1 1
2 0 1
0 1 0
10 2
0 1 1
3 2 2
0 2 0
3 0 2
2 0 2
0 0 1
1 2 1
0 0 0
2 2 1
0 1 3
10 4
1 2 1
2 2 2
3 3 2
2 2 1
2 0 0
2 3 2
2 0 1
0 1 2
3 1 3
1 3 0
10 5
3 3 1
0 2 0
3 0 3
1 2 0
0 0 2
0 3 1
0 2 2
1 0 2
3 3 2
0 3 3
10 4
1 2 0
1 0 1
0 1 0
2 0 0
1 0 2
0 0 1
1 2 1
0 1 2
0 0 0
2 2 0
10 3
1 2 2
1 2 0
0 1 0
0 2 0
2 1 1
0 2 2
1 1 1
2 0 0
1 1 2
2 2 0
10 5
1 1 3
1 3 1
0 0 1
3 1 0
2 2 1
1 0 3
3 3 0
0 1 3
3 0 1
1 0 2
10 5
1 0 1
2 2 1
2 1 0
2 2 0
1 1 1
1 0 0
2 0 1
1 2 1
0 1 0
0 1 1
10 9
2 3 3
3 0 3
3 0 2
2 3 1
3 1 2
0 3 0
1 1 2
1 1 1
0 1 0
1 2 0
10 8
0 1 3
1 0 1
0 2 2
0 3 3
2 2 0
0 2 0
1 0 3
1 3 1
3 1 2
3 1 1
10 6
0 0 1
2 2 2
1 3 3
2 3 3
0 3 1
0 1 2
0 2 1
2 3 2
3 3 1
1 3 0
10 3
2 1 2
3 0 3
0 0 1
1 0 2
0 2 2
0 0 2
0 2 0
2 0 1
3 3 1
1 1 0
10 2
1 2 0
2 2 2
0 1 1
0 2 0
1 1 1
2 0 1
1 2 2
0 1 2
1 1 0
0 2 1
10 9
1 2 2
0 0 2
3 0 0
2 0 1
1 3 0
2 2 3
2 2 1
1 3 2
3 1 1
3 3 2
10 9
3 3 3
2 2 1
0 3 2
1 2 3
2 1 2
0 1 3
1 2 1
1 1 0
2 3 2
1 3 1
10 6
2 0 0
0 2 0
0 2 2
0 1 0
1 2 0
1 1 1
0 0 2
2 2 2
0 0 0
2 0 1
10 6
2 2 1
2 0 0
1 1 1
1 0 0
0 1 2
2 2 2
2 1 2
0 2 0
1 0 2
2 1 0
10 2
2 0 0
2 2 0
0 0 0
1 0 2
1 2 0
1 0 0
0 2 0
0 2 1
2 0 1
1 1 2
10 6
0 2 2
1 2 1
0 0 2
0 0 1
2 0 1
2 0 0
2 1 2
1 1 2
2 2 0
1 0 1
10 4
3 0 0
0 0 2
1 0 0
0 1 2
2 1 0
1 3 3
0 2 0
1 3 0
3 3 1
2 1 1
10 5
1 2 1
0 0 2
2 1 2
1 0 2
2 0 0
1 3 3
1 0 1
1 3 1
3 2 3
0 3 3
10 2
0 0 2
3 1 2
0 1 2
3 3 0
2 1 0
2 2 2
2 1 2
0 2 0
2 0 2
2 3 2
10 2
2 0 1
0 1 2
1 0 1
2 0 2
1 2 2
0 2 1
1 0 0
1 1 1
0 0 0
1 2 1
10 3
3 3 1
1 3 0
3 0 3
1 0 1
0 1 2
1 0 0
0 3 1
2 2 1
3 3 2
1 1 0
10 6
0 0 0
1 1 1
0 2 2
2 0 2
2 1 1
1 1 0
2 2 1
0 2 0
2 0 1
0 1 0
10 8
0 3 1
0 3 2
0 1 1
3 1 3
3 0 3
0 2 0
1 2 0
2 2 1
3 3 3
0 0 1
10 7
0 1 0
0 2 0
1 1 2
2 2 0
0 1 2
1 1 1
1 2 1
0 0 1
0 2 1
1 2 0
10 8
0 3 2
3 3 2
1 3 1
0 1 0
2 2 2
1 1 1
3 3 0
1 0 1
2 2 1
2 3 2
10 5
2 2 2
0 1 0
2 0 2
1 0 2
2 2 0
2 2 1
0 2 1
2 0 1
2 0 0
1 1 2
10 5
2 1 0
1 0 0
2 1 1
1 2 1
0 0 2
2 0 0
0 2 1
2 2 2
2 0 2
1 0 2
10 2
1 0 1
2 0 2
1 0 0
1 0 2
1 1 1
0 1 1
2 1 2
0 2 1
2 1 1
0 1 2
10 5
1 0 1
2 2 0
1 0 2
2 0 2
0 1 1
2 0 1
2 1 2
0 1 0
2 2 2
0 0 1
10 6
3 0 2
0 2 0
3 2 2
2 3 1
1 0 2
3 0 0
3 2 3
2 2 2
2 3 0
3 0 3
10 8
1 2 0
2 0 2
2 1 0
2 1 2
1 0 1
0 0 2
1 2 2
0 1 0
2 0 0
2 2 0
10 7
1 2 1
0 0 2
3 0 3
3 0 1
3 3 2
3 3 1
1 1 0
1 0 2
2 2 0
3 1 2
10 5
0 0 1
0 2 0
0 1 2
0 1 0
1 2 2
1 0 2
1 1 0
0 0 2
0 2 2
2 1 0
10 8
1 0 3
2 0 0
3 2 0
2 3 3
2 1 1
0 3 3
2 2 0
0 0 0
0 3 0
2 0 2
10 3
1 0 0
1 0 2
0 1 1
1 0 1
1 1 1
2 1 2
1 1 2
1 2 1
2 0 0
0 0 2
10 9
1 2 2
0 0 0
3 2 3
0 1 1
1 1 1
3 3 0
0 1 3
3 0 0
2 1 3
3 3 1
10 8
2 1 1
2 0 1
2 0 0
0 0 2
1 0 1
2 2 2
1 1 2
1 1 1
1 2 1
2 1 2
10 2
3 3 3
3 2 2
0 2 0
2 1 3
0 2 2
2 1 2
1 0 3
0 0 1
3 1 3
3 1 1
10 8
0 1 1
0 0 1
1 0 2
2 2 0
0 2 2
2 1 1
1 2 1
0 0 0
1 1 0
2 1 0
10 6
2 1 1
1 2 1
3 3 0
0 2 3
2 3 1
1 0 3
3 0 2
3 3 2
3 0 0
1 2 0
10 8
0 1 2
0 0 2
0 1 1
0 2 2
0 0 0
1 1 0
1 0 0
1 2 2
2 2 2
2 2 1
10 2
3 3 0
3 3 3
1 0 2
2 1 1
0 1 2
3 0 2
2 3 3
1 3 1
1 1 3
1 3 3
10 7
0 1 0
2 2 1
2 0 1
1 1 2
1 2 0
1 1 0
1 0 1
0 1 2
0 1 1
1 0 2
10 3
2 0 1
2 2 0
1 0 0
1 0 1
1 1 0
0 1 1
0 2 0
1 0 2
0 2 1
0 1 2
10 8
1 1 0
3 1 2
3 3 2
0 3 1
1 1 2
2 0 2
1 2 1
2 3 3
0 2 3
3 0 2
10 3
1 3 1
0 1 0
2 0 1
2 3 3
3 3 3
3 3 2
1 0 3
3 1 0
2 2 0
2 0 3
10 4
1 1 0
3 0 3
3 1 3
1 0 2
2 0 1
2 2 1
0 1 0
1 3 2
3 0 2
3 1 1
10 2
2 2 2
2 0 2
2 0 1
0 1 2
0 1 0
1 2 2
0 0 0
1 0 1
1 0 0
1 1 1
10 8
2 0 2
0 1 1
1 1 1
1 1 2
3 2 3
2 1 0
2 0 3
0 2 0
3 2 2
1 0 0
10 2
1 2 0
1 0 2
1 1 2
2 2 0
0 1 2
0 1 1
1 1 0
2 1 2
2 0 1
0 1 0
10 9
1 1 2
0 1 2
0 2 1
0 1 0
1 2 2
1 1 0
2 1 0
2 0 2
1 0 0
0 2 0
10 4
2 0 0
0 0 0
0 2 2
0 0 1
1 1 1
2 1 0
1 1 2
0 1 2
1 0 1
1 0 2
10 2
1 2 0
2 2 2
2 2 3
0 1 1
0 3 0
2 3 1
3 0 1
0 3 3
3 1 1
2 2 1
10 3
1 3 1
2 1 1
3 0 1
3 3 2
0 0 2
3 2 1
2 2 0
2 1 0
3 1 0
0 3 0
10 9
1 2 3
0 2 1
3 3 2
0 3 1
2 3 0
3 0 3
3 1 3
1 0 0
3 0 1
1 0 2
10 3
1 3 3
2 0 2
3 3 2
1 3 2
2 3 2
2 1 1
2 0 3
0 2 1
1 3 0
2 2 1
10 2
1 1 2
3 1 0
0 0 0
0 2 3
1 2 1
3 1 3
1 0 1
2 2 2
3 2 1
2 1 1
10 9
0 0 1
0 1 0
2 2 1
0 2 0
2 0 1
1 2 2
1 0 2
2 1 2
2 0 0
1 2 1
10 4
2 1 3
0 2 1
3 2 0
0 2 3
2 2 3
2 0 3
1 2 1
1 0 3
2 0 1
0 0 0
10 6
1 3 2
1 2 1
1 0 3
0 1 2
1 1 0
0 3 2
0 2 0
1 3 0
0 0 1
1 1 1
10 3
3 2 2
0 1 1
2 2 0
1 1 1
3 1 0
0 3 0
0 1 3
3 1 1
1 3 3
3 0 1
10 4
2 1 2
1 2 2
1 0 2
0 2 2
0 0 1
1 0 0
0 1 2
2 1 0
1 2 0
0 2 1
10 7
1 1 1
1 1 0
1 2 2
0 1 0
1 2 0
0 2 0
2 2 1
1 0 2
1 0 1
0 2 1
10 4
2 1 3
2 3 1
3 0 3
2 0 1
0 1 3
2 2 1
3 3 0
3 2 3
1 3 2
0 3 1
10 6
2 0 2
2 1 2
1 0 0
2 0 0
1 2 0
1 1 0
1 1 2
1 0 1
0 1 2
0 2 2
10 4
3 1 1
0 0 3
2 0 0
1 1 3
0 3 0
0 1 0
0 0 1
1 2 3
1 0 3
0 1 2
10 5
0 0 0
3 1 3
1 2 1
3 0 3
3 2 0
1 0 0
1 2 0
1 3 2
1 2 2
0 0 2
10 5
3 3 1
0 3 2
3 0 3
1 0 2
3 1 0
3 2 3
2 0 1
1 3 1
1 1 0
3 1 3
10 6
3 1 0
3 3 1
1 3 0
3 1 1
0 3 0
0 2 3
0 1 0
2 1 2
3 3 2
1 3 1
10 8
0 3 0
0 1 1
0 0 2
2 2 0
0 1 2
0 2 0
0 2 3
2 2 3
1 2 0
1 0 1
10 3
3 0 0
2 1 0
0 1 1
2 0 2
3 3 0
1 3 0
1 0 3
0 0 1
2 3 0
1 1 0
10 4
0 1 0
1 0 2
0 2 1
0 1 2
1 0 1
1 1 1
2 1 0
1 1 2
1 0 0
2 0 1
10 4
2 0 1
0 1 1
0 1 0
1 0 1
0 1 2
2 0 2
1 2 1
2 0 0
0 2 2
1 1 0
10 3
1 1 1
2 2 2
2 1 1
2 0 1
1 0 1
1 1 2
2 0 2
2 1 2
0 1 0
1 2 2
10 3
0 2 1
1 0 0
0 2 0
2 1 0
2 0 0
1 0 2
0 2 2
1 0 1
0 1 0
0 0 1
10 6
1 1 2
0 2 3
1 3 0
2 2 2
2 0 3
0 3 2
0 3 0
3 2 3
0 1 3
2 1 3
10 4
1 1 0
2 1 2
0 1 0
0 0 0
1 0 1
2 2 2
2 0 2
0 1 2
0 2 0
1 0 0
10 9
0 1 2
1 1 0
0 1 1
1 0 2
1 1 1
2 0 0
2 1 2
2 2 1
1 2 1
1 2 0
10 2
3 1 2
2 1 2
0 2 1
0 0 2
2 3 1
3 3 0
2 2 0
1 1 3
2 1 1
2 3 2
10 5
3 1 1
1 2 0
1 1 1
1 2 1
2 2 0
1 3 3
2 2 1
2 1 3
0 3 1
2 3 1
10 2
0 3 3
3 0 2
0 0 2
2 1 3
2 0 1
0 2 0
2 3 1
0 3 1
2 3 3
1 1 2
10 4
1 2 0
2 0 0
0 2 0
0 0 2
2 2 2
2 2 1
1 0 2
1 1 2
1 1 0
2 1 2
10 9
2 1 0
2 2 0
2 1 2
1 0 2
0 1 2
0 2 1
0 1 0
1 2 2
2 0 2
0 1 1
10 4
1 1 0
1 1 1
0 0 1
2 0 1
0 2 2
1 1 2
2 1 0
1 2 0
2 0 2
0 1 1
10 7
2 2 2
2 2 1
2 1 1
2 1 0
2 0 1
0 2 1
0 2 0
2 1 2
1 0 0
1 1 1
10 6
3 1 0
1 3 3
1 1 1
3 0 0
0 2 0
0 2 1
3 1 3
3 1 1
2 0 1
3 3 1
10 2
1 2 0
2 2 2
2 0 2
1 2 2
0 0 0
0 1 0
1 0 2
0 1 2
1 0 1
2 2 0
10 9
1 1 0
1 0 2
1 2 1
2 0 0
0 1 0
0 2 1
1 1 1
0 1 2
2 2 2
0 2 0
10 6
2 1 1
0 3 0
0 2 3
2 2 2
3 1 2
0 1 1
0 0 1
2 0 1
2 0 0
0 3 1
10 6
0 2 2
2 2 2
2 2 0
2 1 1
2 0 0
0 0 1
1 0 0
1 1 1
0 2 1
2 2 1
10 4
0 1 2
0 2 2
2 2 1
0 1 1
2 1 1
1 0 0
2 2 0
0 2 1
1 1 2
2 0 1
10 7
3 2 2
3 0 0
3 0 3
1 3 3
1 2 2
1 1 0
1 2 3
1 2 1
0 3 1
0 1 2
10 3
0 2 0
0 0 0
0 1 0
0 2 2
2 1 2
1 0 0
2 1 0
2 2 1
1 2 0
2 2 0
10 5
0 1 1
0 2 0
2 0 1
1 2 0
1 2 2
2 1 2
1 1 1
2 0 2
0 1 0
0 0 1
10 5
2 1 0
1 2 0
2 2 2
1 0 2
2 0 2
2 1 2
1 1 0
1 1 1
2 0 1
0 1 0
10 6
2 2 1
1 2 1
0 0 1
2 0 2
0 2 2
1 0 1
2 1 1
1 2 2
1 1 1
0 2 1
10 9
0 0 1
1 0 0
0 1 2
1 1 2
1 1 0
2 2 1
1 2 0
0 2 2
0 2 1
2 1 2
10 2
2 0 0
3 1 2
1 3 0
1 0 3
3 2 0
0 3 3
1 2 3
1 2 2
0 2 2
0 3 0
10 7
1 1 0
0 0 1
2 2 2
2 1 0
1 2 1
2 0 1
1 2 2
2 1 2
0 1 2
0 2 1
10 9
0 3 2
0 0 0
3 1 3
2 0 0
2 0 3
2 3 1
0 3 1
0 0 2
2 1 1
1 3 1
10 4
1 1 1
0 2 0
0 1 2
0 0 2
1 2 0
2 2 0
1 0 2
1 1 2
1 2 1
2 0 2
10 6
1 1 2
0 2 1
2 0 2
0 2 2
2 1 0
0 0 0
0 1 0
0 1 1
1 0 2
1 0 0
10 2
0 3 0
1 3 1
2 0 2
3 3 3
0 1 0
3 3 2
2 2 2
1 1 3
1 2 1
0 0 1
10 3
0 1 0
1 1 0
2 1 1
2 0 2
1 2 2
0 1 2
2 1 0
0 2 1
1 0 1
2 0 1
10 4
2 2 2
1 2 2
2 1 2
1 0 1
1 1 0
0 2 0
2 2 0
2 1 0
0 2 2
0 0 2
10 9
0 2 0
2 3 1
3 1 3
1 0 0
3 1 0
0 3 1
1 3 1
3 3 1
2 3 0
0 3 0
10 6
0 2 0
0 0 3
2 3 3
3 0 0
2 1 1
3 1 0
2 3 2
0 0 2
3 2 0
1 3 3
10 6
1 3 1
1 2 3
0 0 0
3 2 2
0 3 1
1 3 0
1 1 3
0 1 2
3 3 2
1 0 1
10 2
3 2 0
2 2 3
2 0 3
0 3 0
1 2 2
3 0 3
2 0 0
0 0 1
3 0 1
0 1 0
10 4
0 0 0
0 0 1
2 2 0
1 0 1
0 2 1
2 2 2
1 2 1
0 2 0
1 2 0
0 2 2
10 4
2 2 1
0 1 1
2 2 0
0 0 0
1 2 0
2 1 0
0 2 0
1 2 2
0 2 2
1 0 2
10 4
0 1 1
0 1 2
1 2 1
2 0 0
0 2 1
0 1 0
1 1 2
1 2 0
2 1 2
2 2 0
10 7
1 2 0
2 3 3
2 2 3
1 0 2
0 1 2
0 0 3
2 1 2
3 0 1
0 0 0
1 0 0
10 3
2 0 2
3 0 1
1 1 3
2 2 2
1 3 0
3 0 2
0 3 2
2 2 1
1 2 1
0 3 1
10 9
0 0 2
2 1 2
1 0 2
1 1 2
1 3 3
0 0 1
1 2 2
2 0 0
0 1 1
0 0 3
10 8
2 0 0
0 2 0
3 3 3
3 2 2
0 1 1
3 0 2
1 1 3
0 3 1
3 0 1
1 2 3
10 2
1 0 2
3 0 0
2 3 2
2 2 1
3 2 2
1 1 0
0 3 1
2 1 3
2 1 0
0 0 0
10 7
0 3 0
3 3 2
0 0 1
3 2 2
0 1 2
0 2 2
1 1 0
3 2 0
3 1 2
0 1 3
10 8
1 3 0
3 1 2
3 0 0
3 2 2
1 2 1
0 3 2
0 2 2
2 2 2
3 1 1
0 0 2
10 6
2 1 1
2 2 2
0 0 1
1 1 0
2 0 1
0 0 0
2 2 1
1 1 2
1 2 1
2 2 0
10 3
3 2 0
0 2 0
3 1 1
3 3 2
1 0 2
1 3 1
1 3 2
0 3 1
2 0 2
1 1 3
10 9
3 2 2
0 3 1
1 0 0
0 1 3
1 1 1
3 1 0
3 3 1
0 2 1
3 0 3
1 2 1
10 9
0 2 0
3 2 0
1 1 3
3 1 1
2 2 1
1 0 2
3 0 0
1 2 1
3 0 1
2 0 0
10 4
1 0 2
1 2 0
2 1 1
2 0 1
2 2 1
0 1 1
1 1 0
1 2 1
1 2 2
0 1 2
10 5
2 2 3
2 2 2
2 0 3
2 0 2
3 2 1
2 0 1
3 0 0
2 2 1
0 0 0
3 3 2
10 5
1 3 1
0 3 2
1 2 3
3 3 3
0 1 3
0 0 0
1 0 3
0 2 3
0 2 1
2 2 2
10 6
3 3 2
1 0 1
0 0 1
2 2 1
1 2 3
2 0 0
0 3 3
2 3 1
0 1 2
0 0 2
10 3
2 0 2
1 0 1
2 2 1
1 2 2
0 0 0
1 2 1
1 2 0
2 2 0
1 1 2
0 2 2
10 2
0 0 1
0 2 0
1 2 0
0 1 0
2 2 2
1 2 2
2 2 0
1 0 0
0 1 1
0 0 2
10 8
0 0 2
1 2 2
1 2 0
0 2 1
2 2 0
2 1 0
0 0 0
2 0 1
2 2 1
0 0 1
10 8
1 2 1
1 2 0
2 1 0
1 0 0
1 0 2
1 1 1
1 2 2
0 1 0
2 0 1
0 2 1
10 9
1 1 0
0 1 2
0 1 0
1 0 1
1 0 0
2 1 0
1 2 0
0 2 2
1 1 2
1 2 2
10 6
0 2 2
0 1 1
2 2 0
0 2 0
0 0 1
2 1 3
0 1 0
2 1 0
0 3 1
3 0 0
10 2
0 1 1
1 2 0
2 1 1
1 1 1
0 1 0
1 0 0
1 2 1
2 2 0
0 2 0
0 1 2
10 9
1 3 1
3 0 1
0 1 0
0 2 2
2 2 3
3 2 2
2 0 3
1 1 2
0 2 3
0 2 0
10 3
2 0 0
0 0 2
2 1 0
0 1 2
1 2 2
2 0 2
0 1 0
1 0 2
1 1 1
0 0 0
10 9
3 1 0
2 2 3
1 2 1
3 3 1
2 1 3
1 0 2
3 2 3
2 1 2
1 3 1
3 0 2
10 6
2 2 2
0 2 0
0 1 0
2 0 0
0 2 2
1 2 2
1 2 1
1 1 1
1 0 0
1 1 0
10 7
1 2 1
1 0 1
0 1 1
0 2 1
1 1 2
2 1 1
0 0 2
2 2 2
1 1 1
0 0 0
10 9
0 0 3
1 2 2
0 1 3
2 0 2
1 1 1
1 3 0
2 1 1
3 3 0
0 0 2
3 1 3
10 9
0 0 1
3 1 1
0 0 0
3 1 0
2 0 2
0 2 2
0 3 1
1 0 1
2 3 3
1 3 1
10 4
0 2 2
2 1 1
0 1 0
2 3 0
3 2 2
2 3 1
3 2 1
0 3 1
0 1 2
3 3 0
10 4
3 2 2
2 3 0
1 3 2
0 3 2
1 0 1
1 0 0
0 2 3
3 1 3
2 2 0
2 3 3
10 9
0 0 1
2 1 2
0 1 1
2 0 0
2 2 2
1 2 2
0 1 0
1 1 2
1 1 1
0 2 1
10 4
0 1 1
2 1 1
2 0 2
1 1 2
1 1 1
1 0 0
0 2 1
1 2 2
0 0 1
1 0 1
10 7
2 1 1
3 3 1
1 0 2
1 2 0
3 2 2
3 0 1
1 2 2
2 3 3
0 3 1
1 1 3
10 2
1 0 0
0 2 2
0 1 1
2 0 1
1 1 0
0 0 2
1 0 2
2 2 1
2 0 2
0 2 1
10 5
1 0 2
3 1 2
0 1 1
3 0 2
0 1 3
3 3 2
0 3 0
0 3 1
2 3 1
0 0 1
10 6
2 1 0
1 2 0
3 1 2
3 2 3
3 0 1
0 0 1
3 2 0
0 3 2
2 3 3
2 0 3
10 6
1 0 3
1 0 1
1 2 2
2 1 0
0 3 1
3 2 0
1 3 0
1 3 3
1 2 0
0 2 1
10 3
1 2 0
0 1 2
1 0 0
0 2 2
1 1 2
1 0 2
2 2 0
0 0 0
2 1 2
0 0 2
10 7
0 1 1
3 3 1
2 2 1
0 2 2
0 2 3
2 2 2
2 3 3
0 0 3
2 0 1
3 0 0
10 5
0 1 0
2 0 1
1 1 1
1 0 0
2 1 1
1 0 2
1 2 2
2 2 2
0 2 0
2 1 0
10 3
1 2 0
0 1 0
2 2 1
2 1 0
1 0 0
2 2 0
1 0 2
0 0 1
1 2 1
1 1 2
10 7
1 3 0
1 3 3
2 2 2
3 1 2
0 3 2
3 1 3
3 0 2
3 1 1
2 0 2
2 3 2
10 8
0 3 3
1 1 3
3 3 3
2 3 0
0 0 3
3 0 0
3 1 1
3 3 2
0 0 0
2 1 0
10 8
0 0 2
0 0 0
0 2 0
1 2 2
0 0 1
1 0 2
1 0 1
1 2 0
2 2 1
2 1 2
10 4
2 2 2
1 2 1
2 2 1
0 1 2
1 1 0
2 1 2
1 0 2
2 0 0
2 1 1
1 1 2
10 9
3 0 1
3 0 0
0 2 2
1 2 2
2 2 0
0 0 0
0 2 1
3 3 1
2 1 1
2 1 3
10 6
2 0 2
2 1 0
1 0 2
0 2 0
2 1 1
0 0 0
1 0 0
1 1 1
0 2 2
2 2 2
10 3
0 0 2
0 1 2
2 0 0
1 1 0
1 0 2
1 1 1
1 1 2
1 0 1
2 1 2
1 0 0
10 3
1 1 0
1 2 2
1 0 0
1 0 2
2 1 1
2 0 1
2 1 0
0 1 1
0 1 2
0 2 2
10 6
1 1 1
1 2 1
0 1 0
1 2 0
1 1 2
1 0 2
2 0 2
2 1 1
2 2 1
0 0 1
10 8
1 1 2
1 0 0
0 1 1
1 0 2
2 0 1
0 0 2
2 2 2
0 1 2
0 0 1
1 2 1
10 2
0 2 1
0 1 2
2 1 1
0 2 0
1 2 1
2 0 2
1 1 1
0 1 1
2 2 2
2 2 0
10 8
0 3 2
3 1 3
0 3 3
2 2 2
0 1 3
1 2 2
2 1 1
0 2 2
3 2 3
1 3 3
10 4
0 1 1
0 2 0
1 0 1
0 1 0
2 0 1
2 1 0
1 0 0
2 2 0
1 0 2
1 2 0
10 4
0 1 2
1 2 1
0 2 2
2 1 2
0 0 2
1 0 2
0 2 0
2 1 1
0 0 1
1 0 1
10 4
2 0 3
3 2 0
3 1 3
2 1 2
0 3 2
1 0 2
1 2 2
1 3 1
0 0 3
0 1 3
10 8
2 2 0
0 0 1
0 0 2
0 0 0
0 2 0
2 0 2
1 0 1
1 2 1
0 2 2
1 2 0
10 9
2 2 0
0 0 1
0 2 1
1 1 2
1 1 0
0 2 2
2 1 1
1 0 2
1 1 1
0 0 0
10 5
2 1 1
0 0 1
0 0 2
2 1 0
0 2 2
2 2 0
1 0 0
1 1 0
1 1 1
1 2 1
10 9
1 1 0
1 0 0
3 0 3
3 2 1
1 0 1
3 3 2
1 2 3
1 0 2
2 1 0
2 2 2
10 9
0 2 1
2 1 0
0 0 1
1 1 0
1 0 0
0 1 2
2 1 1
1 2 2
0 1 1
2 0 0
10 2
2 1 0
1 1 1
1 0 0
0 2 2
0 1 2
2 0 2
2 0 1
1 1 2
1 0 2
1 1 0
10 8
2 0 0
2 1 1
0 3 0
0 3 1
3 1 1
1 1 1
3 2 1
1 1 3
1 3 2
3 1 2
10 9
1 0 0
0 1 2
1 0 1
2 1 2
2 0 0
2 2 2
0 0 2
0 1 1
2 0 1
0 2 0
10 6
2 1 2
2 1 0
1 0 2
0 2 2
2 0 2
0 3 0
1 0 0
0 3 1
0 3 2
0 0 3
10 2
0 1 0
1 0 2
2 0 0
0 0 0
0 2 2
2 1 2
2 1 1
2 2 1
1 2 1
0 1 1
10 6
1 1 2
0 2 2
2 0 2
1 0 0
0 1 1
0 2 0
0 0 2
1 2 0
0 2 1
2 1 0
10 2
0 0 0
0 1 0
2 0 1
2 2 1
1 2 2
0 2 2
1 0 0
1 1 2
1 1 0
0 0 1
10 5
0 0 0
1 0 1
2 1 1
2 1 2
1 2 2
2 0 0
2 0 2
0 2 0
2 2 1
0 2 2
10 9
1 0 0
0 2 1
2 1 0
2 0 1
0 0 1
0 0 0
1 2 0
1 0 2
1 1 0
1 0 1
10 6
2 1 0
0 3 3
1 1 1
1 2 3
3 1 0
0 2 1
0 0 1
1 1 0
0 2 2
0 1 0
10 6
1 1 1
0 2 0
0 1 1
2 2 2
2 1 1
2 2 0
1 2 1
0 0 1
0 1 2
2 0 1
10 5
0 2 2
2 0 1
2 2 2
1 0 1
1 1 2
1 2 1
2 0 2
2 1 0
0 0 0
1 2 0
10 7
2 2 1
3 2 1
2 3 0
3 0 0
0 3 1
2 1 0
1 0 1
1 2 2
3 3 1
3 1 2
10 2
0 2 2
2 1 0
3 0 0
1 3 1
1 1 3
1 1 0
1 1 1
2 0 3
0 1 2
2 3 3
10 7
0 1 0
2 2 2
0 0 0
2 1 0
1 2 2
0 0 2
0 0 1
2 0 0
0 1 1
1 2 0
10 3
1 2 2
3 0 0
3 3 0
3 0 1
1 2 0
1 0 2
3 1 2
0 1 0
1 1 1
0 3 0
10 2
0 2 0
0 3 1
1 3 2
2 0 2
0 1 2
3 0 2
0 3 0
2 2 3
0 0 0
2 1 3
10 8
0 3 2
0 2 3
0 2 0
2 0 1
0 0 3
1 3 1
1 1 2
3 2 1
1 0 3
1 2 1
10 8
2 1 0
1 0 0
2 1 1
2 1 2
0 0 2
1 2 1
1 1 1
2 2 2
0 1 2
1 2 2
10 6
0 3 0
0 0 2
0 3 2
2 0 1
2 2 1
0 1 2
2 2 2
1 1 1
1 2 3
2 0 0
10 7
1 0 2
1 1 1
0 2 0
1 2 2
0 0 0
1 0 0
2 0 1
2 2 1
2 1 2
1 0 1
10 4
0 2 0
0 0 1
2 1 2
1 0 0
2 0 1
0 0 2
2 0 2
0 1 1
2 0 0
0 1 0
10 9
1 0 0
1 0 1
2 2 1
2 1 1
2 1 2
2 2 2
0 1 0
0 2 0
0 1 2
1 1 1
10 7
2 3 3
2 1 0
2 3 1
3 3 2
3 1 0
0 3 3
1 2 1
1 3 2
0 2 1
2 1 3
10 3
1 0 0
0 2 2
1 0 1
0 1 2
2 0 1
0 2 0
2 1 0
1 2 0
0 0 0
1 2 2
10 9
1 1 1
0 1 2
2 1 2
2 1 1
1 2 0
2 0 0
0 1 1
0 0 1
2 2 0
2 1 0
10 8
1 3 3
2 2 2
1 2 1
3 1 1
1 3 0
3 2 2
2 1 0
0 0 2
3 0 0
3 2 1
10 8
0 1 0
0 1 1
1 1 2
1 1 0
1 2 1
2 1 2
0 2 0
2 2 0
0 0 1
0 0 0
10 4
2 1 2
2 0 2
2 1 0
0 2 2
2 0 1
2 1 1
1 0 1
2 2 0
2 2 2
1 1 0
10 2
2 1 2
0 1 2
0 2 1
2 2 1
2 1 0
2 0 2
0 0 1
1 0 2
0 0 2
1 0 1
10 9
1 3 3
0 2 0
2 3 2
3 1 3
1 3 1
2 2 0
0 2 1
1 1 2
1 1 1
0 2 2
10 8
0 3 0
0 0 1
1 3 2
3 1 1
3 1 0
3 3 0
3 1 2
0 2 2
0 0 2
2 1 2
10 2
3 2 0
3 0 0
0 2 2
1 0 3
2 1 1
0 0 1
3 1 2
2 0 1
3 3 3
0 1 2
10 8
0 2 2
2 1 2
1 2 2
0 1 1
1 0 0
2 0 2
2 1 1
0 1 2
1 0 1
1 2 1
10 5
0 3 2
3 3 2
1 1 1
3 0 1
2 0 1
3 1 2
3 2 0
2 1 2
1 3 3
2 3 2
10 4
1 3 3
2 2 3
2 3 3
3 0 0
3 3 1
2 3 0
2 1 2
1 3 0
1 3 1
3 2 3
10 5
2 1 1
2 0 1
1 0 1
2 2 0
0 2 1
1 0 2
1 1 1
1 2 0
2 1 2
0 0 1
10 5
2 0 2
0 0 2
2 1 1
1 0 1
0 0 1
0 1 1
1 2 2
2 1 2
2 2 0
0 0 0
10 5
1 0 2
0 1 1
2 2 1
0 2 0
1 1 2
2 0 1
1 0 0
1 2 2
0 0 0
1 1 1
10 4
2 2 0
2 1 1
0 0 2
1 0 1
2 0 0
2 0 1
2 2 1
1 0 2
1 2 1
0 0 1
10 9
2 1 1
2 2 2
2 0 2
2 2 0
0 1 0
1 0 2
0 0 0
2 0 0
0 0 1
1 2 0
10 2
2 0 2
2 2 0
1 1 0
2 0 1
2 1 0
1 2 2
0 0 0
2 1 2
0 2 2
2 1 1
10 2
1 1 2
0 2 1
1 0 0
0 1 1
1 2 0
0 0 1
1 0 2
2 2 0
1 2 2
2 1 0
10 9
1 1 2
3 3 1
1 0 0
3 3 2
1 1 0
1 2 0
0 3 2
1 3 2
2 1 2
3 3 0
10 8
1 0 2
0 2 0
1 2 0
0 0 0
2 1 2
0 0 2
1 0 0
0 2 1
1 2 2
1 1 2
10 6
2 2 1
0 0 1
0 1 2
1 0 1
1 1 1
2 2 2
1 0 0
0 0 2
2 0 1
2 2 0
10 8
1 1 0
1 0 1
0 1 0
0 0 0
0 1 1
0 0 1
0 1 2
1 0 0
2 0 1
1 1 2
10 8
1 0 1
0 2 1
0 2 2
0 1 2
2 1 0
1 1 0
2 0 1
2 2 0
1 2 0
0 2 0
10 4
2 0 0
0 1 2
0 2 0
0 0 1
2 2 2
1 1 2
2 0 2
1 2 1
1 0 1
1 0 2
10 6
2 0 1
2 0 2
0 2 1
0 1 2
2 2 1
1 2 1
0 0 1
0 2 2
1 1 1
2 2 2
10 6
1 0 2
0 0 2
2 3 0
3 2 2
2 2 2
3 1 1
1 0 0
1 2 1
3 3 3
1 1 0
10 2
0 1 2
2 1 1
2 2 2
3 0 0
3 1 0
1 2 2
1 3 2
1 2 1
3 3 3
1 3 0
10 8
2 0 0
2 1 0
3 0 3
3 0 2
0 0 1
0 3 3
1 3 3
2 0 3
3 2 1
0 2 2
10 7
3 2 0
2 1 1
0 2 3
2 0 3
1 3 0
3 2 3
0 1 0
2 2 1
0 3 2
1 1 0
10 2
3 1 0
3 2 1
2 1 1
3 2 0
1 0 3
3 2 2
0 1 2
1 1 1
1 2 0
0 2 0
10 4
1 0 0
1 1 1
0 1 1
0 2 0
0 1 2
2 1 2
0 0 0
2 2 0
0 0 1
2 2 1
10 2
1 0 0
1 0 2
1 2 0
0 1 2
0 0 0
2 0 1
2 0 2
2 2 0
1 1 0
0 0 2
10 5
0 0 0
2 3 2
0 3 3
0 1 3
1 2 0
2 1 2
1 3 2
1 2 3
1 1 3
0 2 2
10 5
1 1 1
2 0 1
1 1 2
2 1 1
2 0 2
1 2 1
0 2 2
0 2 0
0 1 0
2 1 0
10 9
2 2 1
3 2 3
1 0 2
0 1 0
3 0 1
3 2 2
2 3 0
3 3 2
1 1 3
3 3 1
10 9
2 1 1
2 0 0
2 1 0
1 2 0
2 1 2
0 0 0
0 2 0
0 2 2
1 1 0
0 0 1
10 7
1 0 1
0 0 0
2 3 2
1 2 3
2 2 3
0 1 1
2 3 3
2 3 0
1 1 0
3 0 1
10 6
0 0 3
2 1 3
3 1 2
2 3 2
2 1 1
0 2 0
3 1 0
0 2 1
1 2 1
3 3 0
10 6
2 2 1
1 2 0
1 2 1
2 0 2
0 1 2
0 2 0
0 2 2
0 0 1
1 2 2
2 0 1
10 4
2 2 0
0 1 1
1 1 1
0 2 2
0 1 2
1 2 0
2 0 0
0 0 2
1 0 2
0 1 0
10 6
1 3 3
2 0 2
0 3 0
2 1 1
1 3 1
2 2 1
2 3 3
3 3 2
2 2 2
1 0 2
10 8
0 2 1
2 2 1
2 0 0
1 0 2
0 1 2
0 0 2
2 1 2
0 2 2
0 0 1
1 0 0
10 5
0 2 2
1 0 0
2 2 0
0 1 1
1 0 1
0 0 0
2 1 1
2 2 2
2 0 2
2 2 1
10 7
1 0 1
2 2 3
0 0 0
0 3 0
3 3 3
2 2 1
0 1 2
3 1 0
2 0 3
1 2 0
10 6
0 2 3
3 0 2
1 2 3
3 1 0
1 3 0
1 3 3
1 0 1
0 1 0
2 0 3
2 0 1
10 9
1 1 1
0 0 2
2 1 1
2 2 1
0 0 0
0 1 1
0 0 1
1 2 2
0 2 2
1 0 2
10 2
0 2 3
0 1 3
0 3 1
1 0 1
3 3 2
0 0 3
0 0 1
3 0 3
3 1 2
0 1 0
10 3
1 3 0
1 0 1
3 1 3
3 0 3
3 2 0
0 0 3
3 1 2
1 1 0
3 2 3
3 3 1
10 2
0 1 2
0 2 0
2 0 1
0 0 0
0 0 2
1 2 1
1 1 2
2 2 1
1 2 2
2 1 2
10 7
2 2 0
1 2 1
2 1 2
1 2 2
1 3 1
1 0 2
0 0 2
3 2 2
3 3 3
0 2 0
10 7
1 2 2
0 0 0
0 0 1
1 0 1
2 0 0
1 0 0
2 2 1
1 0 2
1 2 1
2 1 0
10 8
0 1 2
1 3 2
2 3 3
1 1 1
2 3 1
1 1 3
2 0 0
2 2 1
3 0 2
3 2 2
10 2
1 0 1
0 2 0
2 1 0
2 2 2
1 1 0
0 1 0
0 0 2
2 1 1
0 1 2
0 0 1
10 4
0 0 2
3 1 3
1 3 2
2 2 0
2 2 1
2 3 0
3 3 1
0 3 0
3 0 1
0 0 1
10 2
1 0 1
2 1 0
1 3 2
2 1 3
1 0 0
0 2 1
0 0 0
2 3 1
1 3 1
0 3 1
10 4
1 1 0
0 1 2
2 2 0
1 2 2
2 2 1
1 0 2
1 0 1
1 2 1
2 1 2
0 0 2
10 3
2 0 0
2 1 1
0 2 1
1 2 1
0 1 2
2 1 0
0 1 1
2 2 1
1 2 0
1 1 0
10 3
0 1 1
0 0 2
0 1 0
2 2 1
1 2 1
1 1 1
1 1 0
1 2 2
1 0 0
0 2 1
10 3
0 1 0
0 2 1
2 0 2
0 0 1
1 1 0
1 1 1
1 2 0
2 2 1
0 0 2
2 0 0
10 4
2 3 0
0 0 1
3 2 0
3 2 3
1 0 3
2 3 2
2 1 2
1 3 3
2 2 1
0 1 1
10 5
1 0 2
2 2 2
0 2 2
2 0 1
0 0 1
2 1 1
1 0 1
1 1 0
1 1 1
1 2 0
10 7
2 3 3
0 1 1
0 0 0
0 3 0
3 3 1
2 0 2
3 0 2
2 0 0
0 2 3
1 3 1
10 3
0 0 1
2 1 2
2 1 0
2 2 1
0 2 2
1 2 1
2 1 1
0 0 0
0 1 1
0 0 2
10 5
1 0 0
1 1 1
0 1 2
2 1 0
2 1 1
1 2 1
1 1 0
2 2 2
2 1 2
2 2 1
10 4
1 0 2
1 3 3
0 1 1
3 0 1
1 3 0
2 0 1
0 0 1
1 0 0
0 0 0
0 2 2
10 2
1 1 3
0 0 3
0 0 2
3 1 3
2 0 0
2 1 2
2 3 0
1 3 3
0 1 3
2 1 3
10 7
0 0 1
2 3 1
2 2 0
3 1 2
2 1 1
1 1 3
3 0 3
0 1 0
0 3 3
2 2 2
10 8
0 0 0
1 1 0
2 0 2
0 0 1
1 1 1
0 1 1
0 1 2
1 2 1
1 2 0
2 1 2
10 5
0 2 0
1 0 2
2 1 1
0 0 1
2 2 2
2 0 1
2 1 0
2 1 2
0 0 0
0 0 2
10 8
2 1 2
2 1 0
0 1 1
2 2 0
2 0 0
2 2 1
1 1 0
1 1 1
1 2 1
2 0 1
10 8
1 2 0
1 0 0
2 1 0
0 1 1
0 1 0
1 2 1
1 0 1
0 0 2
1 0 2
1 1 0
10 4
3 2 0
2 2 3
0 3 3
1 0 1
1 0 2
3 1 2
3 1 0
2 1 1
3 0 1
0 1 0
10 6
1 2 1
0 2 0
0 0 2
0 1 1
1 1 2
0 0 0
2 2 1
0 0 1
0 1 0
2 0 2
10 2
2 0 2
1 0 3
3 1 0
0 1 1
2 3 1
3 3 2
2 2 1
0 1 0
0 2 3
0 2 0
10 3
2 2 2
2 1 2
1 1 1
1 0 2
2 0 2
1 2 1
0 0 2
0 2 0
2 1 0
0 2 1
10 6
3 0 3
2 3 1
1 1 2
3 0 0
2 0 3
3 2 1
2 3 2
2 0 0
1 3 2
1 1 3
10 4
2 0 2
0 1 2
1 1 2
2 2 2
1 2 2
2 0 0
1 2 1
2 1 0
0 2 0
0 1 0
10 6
2 2 0
0 3 0
2 2 2
1 2 1
1 0 0
2 3 0
1 3 3
2 0 0
2 1 2
3 3 2
10 5
0 2 1
0 2 0
2 2 1
1 0 0
2 0 1
1 2 1
2 2 2
1 1 2
0 1 2
0 1 1
10 9
2 1 0
3 0 2
2 3 3
0 0 1
0 1 0
2 0 3
2 0 2
3 3 2
3 2 3
1 1 1
10 9
2 2 2
0 0 0
1 2 0
1 2 2
2 1 1
0 1 2
2 1 2
2 0 1
2 0 0
0 1 0
10 7
2 0 3
2 0 2
0 0 3
2 0 0
0 0 0
2 3 0
1 3 2
0 2 2
1 2 1
3 3 3
10 7
0 2 0
0 2 3
2 0 0
3 0 1
0 2 1
2 2 3
0 3 2
1 3 2
2 1 1
2 0 3
10 3
2 0 1
1 0 0
1 2 2
1 2 1
0 0 1
2 2 1
1 1 0
2 2 2
2 0 0
1 2 0
10 5
2 1 0
0 1 1
0 2 1
0 1 0
1 0 1
0 0 2
0 0 1
2 2 1
1 2 0
2 2 2
10 8
0 1 2
2 1 1
0 0 2
2 2 2
2 1 2
1 2 2
2 2 0
1 0 2
2 0 0
1 2 1
10 5
0 3 2
3 3 3
0 2 0
0 3 1
0 0 2
2 1 3
0 2 2
1 3 1
1 2 2
1 1 2
10 7
0 0 0
0 0 2
2 0 2
1 2 1
2 1 0
1 2 2
0 1 1
2 2 0
0 2 1
1 2 0
10 9
3 3 0
0 2 1
0 0 3
3 0 1
2 0 2
3 1 0
0 0 1
1 0 1
1 2 2
3 2 0
10 5
2 0 2
0 0 2
1 2 1
1 1 0
1 1 1
2 0 1
1 0 2
0 2 2
2 2 2
0 1 1
10 8
3 1 1
3 2 2
3 0 3
1 0 0
1 1 0
1 1 2
1 1 1
2 3 0
0 1 0
3 3 3
10 3
1 0 0
2 2 0
2 0 1
1 2 0
1 2 1
0 2 0
0 0 2
0 0 0
1 1 0
1 1 1
10 8
2 1 1
0 0 1
1 1 1
0 2 1
1 0 2
0 1 1
0 0 0
2 2 0
2 2 1
2 0 2
10 8
3 3 1
3 2 0
0 0 1
2 0 2
1 2 1
1 1 1
2 1 0
3 0 2
3 0 1
0 3 3
10 3
1 0 1
2 1 0
2 0 2
1 0 0
0 0 0
2 0 1
0 1 0
2 2 1
1 1 0
1 1 2
10 6
1 1 0
1 0 1
2 1 1
0 0 1
0 2 1
1 2 1
0 1 1
2 0 2
0 2 0
2 0 0
10 9
0 2 2
2 2 0
0 0 2
0 1 1
0 0 1
0 2 0
1 0 0
1 1 1
2 0 1
2 1 0
10 9
0 3 1
0 3 3
0 0 2
3 1 0
3 2 0
2 1 2
1 0 0
3 2 1
3 3 3
2 3 1
10 8
1 0 0
2 1 1
1 0 2
1 1 1
0 2 1
2 2 0
1 1 2
2 0 0
0 2 2
2 0 1
10 6
1 2 3
0 3 3
3 3 2
0 0 3
2 3 0
0 2 3
0 3 2
0 3 1
3 0 2
2 3 2
10 9
1 1 1
2 2 2
1 2 0
1 0 1
0 2 1
2 2 0
2 1 1
2 0 1
1 2 1
0 0 1
10 8
1 2 2
2 2 0
1 2 0
1 2 1
1 1 0
0 1 1
2 0 0
1 0 0
1 1 1
0 2 0
10 8
2 0 1
0 0 3
0 0 2
3 0 2
3 2 1
0 2 2
0 0 1
0 1 1
2 0 0
1 2 0
10 8
0 0 1
1 1 0
0 1 0
2 1 2
2 2 2
1 2 2
1 0 2
0 2 2
1 2 1
2 1 0
10 7
0 1 1
2 2 0
0 0 1
0 2 0
1 0 2
2 2 2
1 1 0
2 2 1
0 1 2
0 1 0
10 9
2 1 1
2 0 1
1 2 1
1 2 0
0 0 2
0 1 1
0 2 0
1 1 2
1 0 1
0 0 1
10 5
0 2 0
2 2 0
1 0 2
2 2 2
1 1 2
1 0 0
0 1 2
1 1 1
2 1 2
0 2 2
10 2
1 2 1
0 1 0
0 0 2
0 0 1
2 1 2
2 2 1
2 1 1
1 2 2
1 2 0
1 0 0
10 9
1 0 0
1 0 1
2 2 1
2 2 2
0 1 2
0 1 0
1 2 2
0 0 0
1 1 2
1 1 1
10 2
1 0 2
2 1 0
2 0 1
2 2 2
1 0 0
0 2 1
0 1 0
1 2 2
2 2 0
1 1 0
10 8
1 1 2
0 2 2
1 0 0
2 0 1
1 2 1
0 2 0
2 1 0
0 2 1
0 1 1
2 0 0
10 4
0 1 1
0 0 1
0 1 2
2 2 0
0 0 0
2 1 2
2 1 1
2 0 2
1 1 2
1 1 1
10 4
0 0 2
1 2 1
1 1 1
1 1 0
0 1 1
0 2 2
2 0 1
2 2 0
0 1 0
1 0 0
10 2
1 2 2
0 2 0
1 1 2
0 1 0
0 0 1
2 1 1
1 2 1
2 0 2
1 2 0
0 1 2
10 6
2 0 1
2 1 1
1 2 0
1 0 0
1 1 2
2 1 2
0 2 2
1 2 1
0 0 2
2 2 1
10 4
3 1 2
2 1 2
2 1 0
0 3 3
0 3 0
0 3 1
0 0 1
1 2 2
0 2 3
1 0 0
10 3
1 2 2
0 2 1
2 0 0
0 2 2
1 1 0
1 0 2
0 0 2
1 0 0
0 1 0
0 1 1
10 6
0 2 1
2 3 3
2 3 1
3 3 0
2 0 1
2 1 1
1 0 2
1 2 1
3 3 1
3 0 0
10 5
2 2 3
3 2 0
3 3 1
0 1 0
0 0 2
0 3 0
2 3 2
0 0 3
0 2 0
2 2 2
10 7
2 2 3
2 3 1
1 1 3
0 0 0
3 2 1
3 0 1
3 3 0
2 0 3
3 1 2
2 1 2
10 6
0 3 0
1 2 1
3 1 2
0 2 1
0 2 3
3 3 0
0 3 2
0 1 2
2 3 1
1 3 1
10 5
0 0 1
2 0 2
1 1 1
2 2 2
0 2 0
2 1 2
1 1 2
0 0 0
1 2 2
1 1 0
10 5
1 1 2
1 0 0
2 0 1
1 1 0
0 0 0
2 2 2
1 0 1
1 2 1
2 1 0
1 1 1
10 6
1 1 0
2 2 0
2 0 0
1 0 2
0 1 0
0 1 1
0 2 1
0 2 0
1 2 0
2 1 0
10 7
2 1 2
3 3 0
1 0 0
3 2 1
1 3 1
3 3 1
2 2 1
3 2 3
2 3 2
1 2 0
10 3
2 1 3
2 0 3
0 2 1
2 0 2
1 0 2
0 3 1
0 0 3
2 3 0
0 1 3
2 3 2
10 2
1 1 2
1 2 1
1 2 2
1 0 2
1 1 1
0 0 0
0 0 1
2 2 0
2 2 1
1 0 1
10 6
2 2 2
1 2 1
1 0 2
2 1 2
0 0 2
0 2 2
2 2 1
2 0 2
0 2 1
1 1 0
10 3
1 0 0
0 0 2
2 0 0
2 1 2
1 0 2
0 1 1
1 1 2
1 2 0
2 1 0
1 2 2
10 3
3 3 3
2 3 3
2 3 0
1 1 0
3 1 2
1 1 3
1 1 2
2 0 3
1 2 3
0 2 0
10 6
0 1 2
0 3 3
0 0 3
3 2 1
0 1 0
2 0 2
1 3 2
3 0 3
2 1 2
3 2 0
10 7
2 3 1
0 1 2
3 0 0
0 3 3
2 1 2
1 0 2
0 0 0
2 0 1
3 1 3
2 3 2
10 7
0 1 1
1 2 0
1 0 2
2 0 1
2 2 0
1 1 1
0 1 2
0 2 2
2 2 2
2 1 2
10 5
1 0 2
0 2 1
1 1 1
1 2 0
1 2 2
2 1 1
0 1 2
2 1 0
1 1 0
1 1 2
10 3
0 1 2
1 1 1
2 0 2
1 1 0
2 1 0
1 0 0
1 0 1
0 0 1
0 1 1
1 1 2
10 4
0 1 0
1 1 1
1 0 2
0 2 3
0 0 1
2 1 2
1 3 3
0 3 2
3 3 1
0 3 0
10 8
2 0 2
2 2 2
2 1 0
0 2 0
2 0 0
1 1 2
1 0 2
0 0 2
2 1 2
2 1 1
10 9
3 0 2
2 3 0
2 2 1
3 2 0
0 0 2
2 0 2
1 0 2
3 1 2
3 3 0
0 3 2
10 5
0 0 2
1 2 2
2 1 0
1 0 0
0 0 0
1 2 1
2 0 0
0 1 0
0 1 1
2 1 1
10 5
1 1 1
2 0 2
1 1 0
2 1 2
0 2 2
1 0 0
2 0 1
0 0 0
0 1 1
1 2 1
10 8
2 3 2
1 2 1
3 1 0
0 3 2
1 2 3
0 2 2
0 3 1
2 1 2
0 3 3
3 1 2
10 5
2 1 2
3 3 0
3 1 3
3 2 1
0 0 2
1 1 0
3 1 1
1 3 2
1 2 3
3 1 0
10 5
2 2 0
2 1 1
1 0 2
1 2 2
1 1 0
0 0 0
2 2 1
0 2 2
0 1 2
2 0 1
10 5
0 2 1
1 0 2
2 2 3
3 2 1
0 2 2
3 2 0
2 0 2
0 0 3
1 2 3
1 1 3
10 2
2 1 2
2 2 2
1 1 0
1 0 0
1 0 1
0 2 0
0 1 1
2 2 0
1 1 1
0 1 0
10 4
1 0 2
1 0 1
2 2 1
0 0 1
2 0 0
2 1 1
1 2 2
1 1 2
0 0 2
2 1 0
10 5
0 1 1
2 2 2
0 1 2
0 0 1
2 0 2
0 2 0
1 1 1
2 2 0
1 2 0
1 1 0
10 3
0 3 0
1 2 2
0 2 1
3 1 3
2 0 2
3 2 2
2 0 0
1 3 1
0 2 2
2 3 1
10 5
0 1 2
2 2 0
0 2 0
1 1 1
2 0 0
1 0 0
0 0 2
2 1 1
1 0 1
1 1 2
10 4
1 1 1
1 2 1
2 0 1
2 0 0
0 2 1
0 1 0
2 1 2
1 0 0
0 0 0
2 2 1
10 7
1 2 1
0 1 1
0 0 1
2 1 1
0 0 2
1 1 1
1 0 2
0 0 0
1 2 0
2 2 1
10 5
2 2 2
1 2 0
2 1 0
1 1 1
0 2 1
2 2 0
2 0 2
0 0 2
0 2 0
1 0 1
10 2
1 3 2
0 2 1
0 3 2
3 3 1
3 3 2
1 1 2
1 3 1
3 0 1
1 2 3
3 0 2
10 6
3 1 1
1 1 3
3 3 3
2 2 0
2 1 2
2 0 2
1 1 2
3 3 1
1 2 0
3 2 2
10 7
2 1 1
0 0 1
2 1 0
0 1 0
1 2 1
1 1 1
1 0 0
2 2 1
0 0 0
0 1 2
10 7
0 2 0
2 1 2
1 0 0
1 2 2
1 1 1
0 0 0
2 2 2
0 0 1
2 0 2
1 1 0
10 5
2 2 3
1 3 2
2 3 1
3 0 1
2 3 3
1 3 0
0 2 2
3 2 0
3 2 1
0 1 0
10 9
2 2 1
1 1 0
1 0 1
0 1 2
2 1 0
1 0 0
0 1 0
0 2 2
1 2 0
0 0 0
10 3
2 2 0
1 0 3
3 1 2
2 2 2
2 1 2
1 1 1
3 1 3
2 3 3
2 2 3
2 3 0
10 8
2 1 0
0 1 0
2 0 1
1 2 0
1 2 1
0 2 0
1 1 0
2 1 2
0 0 0
1 0 0
10 7
0 1 0
2 1 2
3 1 2
2 3 1
1 3 3
0 1 2
0 3 0
3 0 0
1 2 1
3 2 0
10 9
0 2 1
2 1 1
2 2 2
1 1 1
0 0 2
2 1 0
1 0 2
1 0 0
0 0 1
0 0 0
10 9
2 1 1
0 0 0
1 1 0
2 1 2
1 2 2
1 1 1
0 2 1
2 0 0
0 0 2
1 0 0
10 8
2 1 1
2 1 3
2 1 2
1 0 2
2 2 1
3 1 0
1 3 2
3 0 1
2 2 3
2 2 0
10 9
1 1 1
0 1 1
1 1 0
2 1 1
0 2 1
0 1 0
0 1 2
2 1 2
1 2 2
1 0 2
10 8
3 3 3
1 3 3
2 2 2
0 1 0
1 0 0
1 2 2
2 2 1
2 3 0
0 2 3
2 3 1
10 7
3 2 1
2 1 1
2 0 3
2 1 2
3 0 0
0 3 1
0 2 2
1 2 1
0 2 0
3 2 0
10 4
2 0 1
0 0 1
1 0 0
1 2 0
2 2 1
2 0 0
2 0 2
1 1 0
2 2 0
0 0 0
10 6
1 2 1
0 0 0
0 2 0
2 1 0
1 0 2
1 2 0
0 2 1
2 2 1
1 0 1
2 0 2
10 6
2 0 0
0 2 1
2 0 2
1 0 1
1 1 0
0 1 1
0 1 2
1 2 1
1 2 2
2 0 1
10 4
1 1 0
2 1 0
1 2 0
1 1 1
0 0 2
1 1 2
0 1 0
1 0 1
0 2 0
0 2 2
10 2
3 3 0
2 2 2
3 1 3
0 1 0
1 1 1
2 3 0
1 2 2
1 0 1
1 3 1
1 3 0
10 6
0 1 0
3 2 1
2 0 0
0 0 3
0 3 3
3 3 1
1 2 3
1 0 1
0 1 1
0 0 0
10 3
1 0 1
0 1 2
1 1 0
1 0 0
0 0 2
0 0 0
2 0 0
0 1 1
1 1 2
2 2 0
10 5
3 1 0
3 2 3
3 1 3
1 2 3
2 1 2
3 1 1
3 1 2
2 3 0
1 3 0
1 2 0
10 9
2 2 2
1 3 0
1 1 1
3 1 1
2 0 2
0 3 1
1 2 0
1 2 2
3 3 2
3 2 0
10 3
1 0 0
0 2 2
3 2 0
1 0 3
0 1 2
3 3 0
3 2 2
0 1 1
3 3 1
2 1 2
10 8
0 2 0
0 1 1
0 1 2
2 1 0
1 2 2
0 1 0
1 1 2
0 2 1
0 0 2
2 0 0
10 2
3 1 3
3 1 0
0 3 3
0 0 2
3 2 0
2 1 0
1 0 1
2 0 1
0 0 3
1 3 2
10 3
2 2 2
1 1 1
1 2 0
0 1 1
0 1 2
2 1 1
2 0 2
0 0 0
1 0 1
0 1 0
10 5
0 0 1
2 0 3
2 0 0
1 1 3
1 0 2
3 2 1
0 3 1
1 0 1
0 2 2
3 1 3
10 4
1 0 2
1 2 0
0 0 0
1 2 1
1 1 0
0 2 1
0 0 1
1 0 1
1 2 2
1 0 0
10 6
0 1 0
0 3 0
0 0 1
1 2 0
2 3 1
3 2 2
2 0 2
3 1 0
0 0 2
1 1 3
10 9
0 2 0
0 0 2
3 3 3
2 0 2
3 2 0
3 0 3
3 0 1
0 2 3
1 3 3
3 2 1
10 4
0 0 2
0 2 2
1 0 2
0 1 0
1 2 2
1 1 1
1 1 2
0 2 1
1 1 0
0 0 1
10 8
3 2 2
1 2 3
0 2 0
1 0 1
1 3 0
2 1 3
0 1 0
0 2 2
3 0 3
2 2 0
10 2
1 0 1
0 0 1
0 2 2
1 2 2
0 0 0
1 2 1
0 0 2
2 1 0
0 2 1
2 2 1
10 7
1 0 2
1 1 1
0 1 2
0 3 0
0 1 0
2 0 3
3 1 1
2 0 2
0 1 1
1 2 2
10 7
0 1 0
2 1 2
2 1 1
1 2 2
0 1 1
0 1 2
2 0 1
2 0 2
1 2 0
1 2 1
10 6
1 0 2
2 2 0
1 2 1
0 1 0
2 2 2
0 2 1
2 0 1
1 0 0
0 1 1
1 2 0
10 3
0 0 0
0 2 0
2 0 0
2 0 1
0 1 1
1 1 2
0 0 1
1 2 1
2 2 1
1 0 0
10 7
1 1 3
3 2 2
2 1 2
1 1 2
2 0 1
0 3 0
2 0 0
0 2 1
2 3 2
1 0 2
10 3
0 0 2
0 2 1
2 1 1
2 1 2
2 2 2
1 0 1
1 2 1
2 0 2
0 1 1
2 1 0
10 3
0 2 3
3 2 0
3 3 1
3 2 2
1 0 3
2 3 2
1 1 0
0 3 1
1 2 3
1 2 0
10 8
2 0 2
0 0 0
1 2 0
0 1 1
1 2 2
1 0 0
0 1 0
2 2 2
1 0 1
1 1 0
10 8
1 2 1
1 0 2
0 0 2
1 1 0
1 2 2
2 2 1
2 0 2
1 1 1
0 1 2
0 2 2
10 5
0 1 2
1 2 1
0 1 3
2 3 0
0 2 2
0 3 1
0 0 2
2 0 3
1 0 2
0 3 3
10 2
1 1 0
2 2 2
1 0 1
0 2 2
1 2 2
2 1 0
1 0 0
0 2 1
0 0 0
0 2 0
10 5
1 1 0
0 0 3
2 1 1
1 0 3
2 0 2
3 3 1
2 1 3
2 3 3
0 2 2
3 3 0
10 5
0 0 1
1 1 1
2 0 2
1 0 2
0 1 1
2 0 0
2 2 0
2 2 2
1 2 0
0 0 0
10 7
0 0 0
1 1 1
2 2 2
1 0 2
0 0 2
0 1 2
2 1 2
1 2 1
2 1 0
2 0 2
10 8
0 1 1
1 0 3
2 3 1
1 0 1
2 0 3
2 2 2
3 0 0
1 2 2
3 3 3
1 1 1
10 7
1 0 0
2 1 0
0 1 0
2 1 2
2 0 2
1 1 2
0 0 1
0 2 1
1 0 1
0 2 2
10 9
0 1 0
1 0 2
2 1 2
1 1 1
1 2 0
1 0 1
0 2 0
2 2 0
2 2 2
1 1 0
10 3
2 2 0
2 2 1
0 0 2
2 0 0
0 1 0
1 0 0
0 2 1
1 0 2
2 1 1
0 0 0
10 6
1 2 2
2 0 1
0 2 0
0 1 0
0 1 1
2 1 2
0 0 1
2 2 0
0 2 2
2 2 1
10 4
0 1 2
2 3 2
3 1 2
1 1 2
1 3 2
3 1 1
2 0 2
1 3 1
3 1 3
3 0 1
10 4
2 2 3
2 2 2
1 1 3
0 2 0
1 0 3
3 1 1
3 2 1
0 2 1
1 0 0
3 0 0
10 4
1 3 3
1 2 1
2 2 1
2 1 1
3 2 1
2 0 0
2 3 0
2 2 0
0 0 0
1 1 1
10 3
2 1 3
3 3 1
0 1 1
3 3 0
1 0 1
0 2 3
1 0 2
0 1 0
1 3 0
2 3 0
10 7
2 1 0
1 1 1
3 3 2
1 0 0
2 3 3
2 2 1
1 0 1
2 2 3
3 0 2
2 1 3
10 4
2 3 0
2 2 1
0 1 2
0 2 0
0 3 2
0 1 3
1 1 2
3 2 1
0 3 3
3 0 2
10 8
2 0 2
0 0 0
1 2 1
0 1 2
0 0 1
0 1 1
2 2 0
2 0 1
0 2 2
2 1 0
10 6
2 0 2
0 1 0
1 2 1
1 2 0
2 1 1
1 1 2
1 0 0
2 2 2
1 0 2
2 0 1
10 8
1 2 0
2 1 2
2 2 0
1 0 1
0 2 0
1 2 2
0 0 0
2 2 1
2 1 0
1 2 1
10 2
0 1 1
2 2 1
1 0 2
0 2 2
2 0 1
1 0 0
2 1 0
1 2 2
1 2 0
2 2 0
10 4
0 0 2
1 1 1
0 1 0
1 1 2
2 2 2
1 0 0
1 0 1
0 0 1
0 1 2
1 2 0
10 7
0 1 3
0 1 1
0 3 3
3 2 1
0 3 1
1 1 2
0 3 2
0 2 0
3 2 0
3 0 1
10 6
3 1 0
2 2 2
0 1 0
2 1 2
2 3 2
2 2 1
1 2 0
3 2 3
2 1 1
2 2 3
10 7
2 2 1
3 2 0
2 2 0
3 1 3
1 1 1
2 3 2
2 1 2
1 2 0
1 3 3
1 2 3
10 2
2 0 1
0 0 0
1 0 2
2 1 0
2 0 2
0 2 2
1 1 2
2 2 0
0 1 0
0 1 1
10 3
1 3 3
0 1 3
1 3 0
3 0 3
2 1 1
0 3 1
1 2 1
2 0 1
3 1 1
0 0 1
10 8
1 0 0
1 0 1
2 0 2
2 2 2
1 0 2
2 1 1
0 2 0
0 0 0
2 0 0
0 2 1
10 5
0 1 0
1 1 0
0 1 1
2 1 0
1 2 0
0 2 0
1 2 2
2 0 1
2 2 1
2 2 0
10 8
2 2 2
2 1 1
2 0 1
2 1 0
2 0 0
1 1 0
1 0 1
0 1 1
1 2 0
2 1 2
10 5
3 1 2
3 1 1
2 0 0
2 1 3
2 1 1
1 3 2
3 0 0
0 0 1
2 3 1
3 0 2
10 8
3 1 1
1 1 3
1 0 1
1 1 0
2 0 2
1 1 1
3 0 2
2 3 3
0 1 1
3 1 0
10 7
1 2 1
3 3 3
1 3 2
2 2 0
3 1 2
1 3 3
2 3 1
0 1 1
0 1 3
3 0 1
10 5
0 2 2
3 0 0
0 1 1
0 0 1
1 1 1
2 2 2
1 0 1
0 3 3
3 3 3
3 1 1
10 6
2 0 2
2 1 0
1 1 1
0 0 2
1 0 1
0 2 2
2 0 1
1 1 2
0 1 0
0 0 1
10 2
1 1 0
2 0 0
0 2 3
0 2 2
3 3 1
1 3 1
1 2 3
1 3 0
0 1 2
3 1 1
10 2
2 0 0
1 0 2
2 1 0
1 2 1
1 1 2
2 2 0
0 0 0
1 1 1
0 2 0
0 0 2
10 5
3 3 2
1 3 1
0 0 2
2 2 3
2 3 1
0 2 1
0 1 1
2 3 3
1 0 0
0 3 0
10 5
1 2 2
2 0 1
2 2 2
1 2 1
0 2 1
2 2 1
0 2 0
0 2 2
0 0 1
2 0 2
10 6
1 0 1
0 1 1
1 1 1
1 2 0
1 1 2
0 1 0
0 0 1
1 2 1
0 2 1
0 0 2
10 8
2 0 1
2 0 3
3 2 1
1 2 0
2 3 3
0 2 3
3 3 1
1 1 0
1 2 1
2 1 1
10 5
1 0 0
2 1 2
0 2 1
0 2 2
2 0 2
0 0 2
0 1 1
1 1 2
0 1 0
2 0 1
10 5
1 2 1
2 1 0
2 0 2
0 0 1
0 1 1
2 0 1
1 1 0
0 2 2
1 1 1
0 2 1
10 5
1 0 3
3 2 0
0 2 1
0 1 1
2 2 2
2 3 1
2 0 0
2 3 3
1 1 3
1 0 1
10 9
1 1 2
2 3 0
3 2 2
2 0 0
3 1 0
0 3 3
1 2 2
2 0 2
1 2 3
3 0 1
10 2
0 1 0
3 1 0
0 1 2
3 2 0
2 1 2
1 3 0
1 1 0
1 0 0
1 1 3
1 3 2
10 4
1 2 1
0 2 1
1 2 0
1 0 1
0 2 0
0 0 1
1 0 2
2 1 1
2 2 2
0 1 2
10 6
0 2 0
2 2 1
0 0 1
2 1 2
1 1 2
0 2 2
0 0 0
0 1 1
1 0 2
0 1 2
10 5
0 2 2
0 3 3
0 2 1
0 1 0
2 0 1
0 2 3
2 3 3
3 0 3
1 3 2
0 0 0
10 9
3 1 2
1 1 0
1 0 2
0 2 0
3 2 0
2 2 3
3 1 1
2 3 3
0 0 3
2 3 2
10 8
2 3 0
0 1 0
1 2 3
0 2 3
2 1 1
3 2 3
0 3 1
2 3 1
3 3 1
2 0 0
10 9
0 2 0
1 2 2
0 1 1
2 1 1
2 2 2
2 0 0
1 1 0
1 0 2
1 1 2
2 1 2
10 5
1 0 2
3 0 0
3 3 3
3 2 0
1 1 1
3 1 0
0 2 1
1 3 2
2 1 2
1 0 3
10 8
0 2 1
2 1 0
0 1 0
0 0 1
0 2 2
1 1 1
1 1 2
2 2 2
2 1 1
2 0 2
10 6
2 0 2
1 3 3
2 2 0
0 3 0
1 0 0
1 2 2
1 1 3
2 0 0
0 3 1
3 1 1
10 8
3 0 3
0 0 2
0 2 0
2 1 1
0 3 2
2 2 3
0 3 3
2 3 2
2 2 1
0 3 1
10 9
3 1 3
3 0 2
1 2 2
3 3 2
1 0 2
2 1 2
1 3 0
3 2 2
2 2 3
2 2 0
10 8
2 0 2
2 2 0
1 1 0
0 2 1
0 2 0
1 0 0
1 0 2
1 2 2
1 2 0
0 0 0
10 5
1 3 0
2 1 0
3 0 1
2 0 3
3 3 1
1 1 0
0 0 0
2 0 2
0 3 3
1 2 1
10 5
3 0 0
1 1 1
3 1 3
2 3 3
1 3 1
1 3 2
3 2 2
1 0 1
0 2 1
0 0 1
10 9
3 1 1
2 1 3
2 0 1
2 0 0
0 0 0
2 2 3
1 1 1
3 3 1
0 1 1
2 1 1
10 4
3 2 1
2 1 2
3 3 1
1 3 0
0 2 1
3 3 0
1 3 2
0 3 0
2 2 0
1 2 3
10 5
3 3 0
0 3 1
1 2 1
2 1 3
3 1 1
0 0 1
3 0 2
1 1 2
0 2 0
3 2 3
10 3
1 2 2
1 2 1
1 0 1
1 1 1
2 2 2
2 1 0
0 2 2
0 0 2
0 2 0
2 1 1
10 4
1 2 1
1 1 1
0 2 1
0 1 1
0 1 0
1 0 1
2 2 2
2 0 2
0 0 0
2 2 0
10 8
1 1 1
2 0 0
0 0 0
2 0 1
0 1 2
1 0 2
0 2 1
2 0 2
0 2 2
2 2 1
10 2
3 2 0
2 1 2
0 1 2
3 1 3
2 2 0
1 2 3
1 0 3
3 3 3
2 2 2
1 1 2
10 9
0 2 1
2 2 1
2 2 2
1 0 1
0 0 0
1 2 1
0 1 2
2 0 2
0 1 1
1 2 0
10 6
0 2 0
1 2 3
0 1 2
0 3 2
1 1 3
1 1 2
3 2 3
2 3 2
2 2 1
2 2 3
10 2
2 0 1
0 1 1
2 1 0
1 2 2
2 1 1
2 2 2
0 1 0
1 0 0
0 2 1
0 2 0
10 3
3 1 3
3 2 3
2 1 0
1 2 2
2 2 3
3 3 2
3 3 1
2 0 2
0 0 1
3 0 2
10 8
3 1 3
2 3 3
1 0 0
3 1 2
1 0 2
0 1 3
3 0 0
1 3 0
3 3 3
2 0 3
10 3
0 1 0
1 2 1
1 2 2
0 2 0
1 0 1
0 2 2
0 0 2
2 1 2
2 0 2
1 0 0
10 7
0 2 2
1 1 1
2 1 1
1 1 0
0 1 0
0 0 1
0 1 3
3 1 2
3 2 1
3 1 0
10 3
0 1 2
1 0 0
0 2 0
1 0 2
1 1 0
2 2 1
1 2 2
2 2 0
1 2 0
2 0 2
10 7
0 2 0
1 0 2
1 0 0
0 1 2
2 0 2
0 2 1
0 1 0
2 0 0
1 0 1
0 0 2
10 2
3 0 1
0 2 3
0 3 2
3 1 1
3 1 0
3 3 0
0 1 2
2 3 1
0 3 1
2 2 1
10 2
2 0 0
1 1 2
0 2 2
0 3 1
2 3 2
0 3 0
1 0 2
2 2 3
0 1 0
0 2 3
10 8
0 1 0
2 2 1
3 2 0
2 0 0
3 0 3
1 1 2
1 0 1
0 0 0
1 3 0
1 2 2
10 7
3 2 1
2 0 3
1 3 1
3 2 0
2 0 1
1 1 3
3 3 2
3 0 3
3 0 0
3 1 2
10 8
3 0 0
2 2 1
0 2 1
0 2 2
2 3 3
3 2 3
2 1 0
1 1 2
3 1 3
0 3 0
10 2
1 1 2
2 2 1
0 0 1
0 1 0
0 1 1
2 2 2
0 2 1
1 1 1
2 1 1
1 0 0
10 4
3 0 3
3 2 1
3 3 1
1 0 1
3 2 3
3 1 1
2 2 0
3 2 2
0 1 0
2 1 3
10 2
0 3 3
0 3 2
1 3 3
3 1 2
2 2 0
1 1 2
3 1 3
3 1 1
2 2 3
3 0 2
10 8
1 0 1
3 2 1
2 3 2
3 2 0
2 2 1
1 3 0
3 3 3
2 3 0
1 3 1
2 3 1
10 7
1 2 0
1 0 2
3 2 3
0 1 1
0 3 0
1 2 2
0 0 0
3 3 1
0 2 0
3 1 3
10 8
3 2 2
3 0 0
2 2 2
2 0 3
3 1 3
3 3 3
1 0 3
1 3 3
0 3 1
0 0 1
10 9
2 1 2
0 2 0
1 0 0
1 2 2
2 1 0
0 0 2
2 0 1
2 0 0
1 1 2
0 1 2
10 2
2 2 2
2 2 1
1 2 0
1 1 2
1 2 1
0 1 1
2 1 1
1 2 2
1 0 0
1 1 1
10 5
2 1 0
3 1 0
2 0 1
2 3 0
2 2 1
0 3 0
2 3 1
3 2 0
1 0 2
0 1 3
10 3
2 1 1
1 1 1
2 0 1
1 1 2
2 0 2
1 2 2
0 1 0
1 2 0
0 0 2
2 2 2
10 3
3 2 0
0 1 0
0 1 1
1 3 1
3 2 2
1 0 0
0 3 3
2 0 2
1 3 2
1 0 1
10 6
2 2 1
0 1 0
2 0 1
0 0 1
0 2 0
1 0 2
1 0 1
1 1 2
0 0 0
0 2 1
10 2
1 1 0
0 0 0
0 1 0
0 1 1
1 2 1
0 0 1
2 2 0
1 0 2
0 2 2
2 1 2
10 7
0 0 1
2 2 2
0 0 2
2 0 1
1 1 0
0 1 0
0 1 1
0 0 0
1 0 0
1 2 2
10 5
0 1 2
0 0 1
0 2 1
1 1 0
0 1 0
0 2 0
1 2 2
1 1 2
1 0 0
1 2 1
10 7
1 2 2
1 1 1
2 0 1
1 2 1
1 2 0
2 2 1
2 2 2
2 2 0
0 2 0
2 1 0
10 9
3 0 0
3 0 1
2 2 0
2 1 0
0 0 2
3 1 3
1 2 2
2 2 1
3 3 2
2 3 3
10 5
1 0 3
0 1 3
3 2 3
1 0 2
0 0 1
1 3 3
1 2 1
0 1 2
2 1 1
2 3 3
10 2
1 2 2
0 2 2
2 3 3
2 2 1
1 2 0
3 1 0
3 0 2
1 1 2
1 3 3
1 2 3
10 8
0 2 1
2 0 0
3 1 2
2 3 2
2 2 1
1 3 1
2 0 2
1 0 0
1 3 0
1 0 1
10 6
1 1 2
1 0 1
0 0 0
2 2 1
1 2 2
0 1 0
0 1 1
1 2 1
0 2 0
2 0 1
10 7
2 1 1
2 2 0
1 2 1
2 0 0
0 0 2
0 1 2
0 0 0
1 1 0
1 1 1
2 0 1
10 8
1 1 2
3 1 3
0 2 2
3 0 1
2 3 2
2 3 0
3 1 0
3 3 1
2 3 3
0 2 3
10 5
0 2 3
0 1 3
1 1 3
2 0 3
3 2 0
3 2 1
3 0 3
1 3 1
0 2 0
3 1 3
10 7
2 1 1
2 1 3
0 3 3
3 3 3
3 0 0
2 1 2
3 2 2
1 3 1
0 3 0
0 2 3
10 8
3 3 2
2 3 0
2 0 0
1 3 2
1 2 1
3 3 1
2 3 2
1 0 3
0 2 1
3 2 1
10 3
0 1 2
3 0 1
2 0 0
0 0 0
3 3 2
2 1 0
3 1 1
1 0 0
2 3 3
1 3 0
10 5
1 0 1
1 2 2
2 0 1
0 0 1
0 0 2
2 2 0
1 1 1
2 2 1
0 0 0
2 1 0
10 9
1 1 0
1 2 0
2 0 2
0 2 1
0 0 0
0 1 2
2 0 1
0 2 0
1 0 0
1 2 2
10 7
0 1 1
2 1 0
1 0 1
2 1 2
2 0 2
0 1 2
2 2 1
1 1 0
2 2 0
2 0 1
10 6
0 0 0
1 2 0
1 2 2
1 3 2
2 3 3
2 2 0
1 1 3
2 1 2
1 0 0
1 3 1
10 2
2 2 1
0 3 1
3 3 2
1 3 0
0 0 3
0 2 3
2 2 0
1 3 3
2 0 3
1 2 2
10 4
0 1 0
1 1 1
0 1 2
1 2 0
1 0 2
1 2 1
1 0 0
0 2 0
0 0 1
0 0 0
10 3
1 0 0
1 1 1
0 0 0
1 0 1
1 2 0
2 2 2
0 0 2
1 2 2
0 1 0
0 2 2
10 8
2 0 0
3 2 2
0 0 3
2 0 3
1 2 0
0 0 2
1 2 2
1 3 3
0 0 0
0 1 2
10 6
3 3 1
1 2 3
3 0 3
2 2 0
0 2 3
0 0 1
2 1 0
0 0 0
0 0 3
0 2 0
10 2
2 1 0
1 3 0
3 2 2
3 3 0
3 0 2
0 2 2
1 2 2
0 2 3
0 1 2
2 2 2
10 5
0 1 3
3 1 0
2 2 3
2 1 3
1 0 1
2 0 0
0 1 1
2 1 2
3 2 3
3 0 1
10 6
2 2 1
0 0 0
0 0 2
2 2 2
1 1 1
1 2 1
1 1 2
0 2 2
2 1 2
1 0 0
10 9
3 0 3
1 0 1
0 1 2
0 1 1
1 3 0
0 0 3
2 0 2
2 2 2
3 1 1
1 2 1
10 8
1 2 0
0 0 0
1 0 2
2 2 2
1 1 1
1 1 0
2 0 0
1 2 1
2 0 2
2 1 2
10 3
3 2 3
1 0 3
0 3 2
3 1 3
0 3 3
0 3 1
1 1 0
2 3 3
1 0 0
1 0 2
10 2
2 3 1
0 2 0
2 2 0
2 2 3
1 1 0
2 1 3
3 3 0
2 0 3
0 2 3
3 3 2
10 3
0 0 2
0 2 2
2 2 0
3 1 2
3 0 2
2 0 0
2 1 1
1 0 3
0 0 1
1 1 3
10 8
2 0 0
2 2 1
1 2 0
1 0 2
0 1 1
0 2 2
1 1 1
0 0 2
1 1 0
2 0 2
10 2
2 3 2
2 1 1
2 3 1
1 2 2
0 1 3
1 1 3
0 2 2
1 2 3
2 0 3
1 1 1
10 2
0 3 1
3 3 1
1 2 2
2 0 3
1 1 2
0 3 2
1 0 1
2 2 0
3 3 0
1 0 2
10 5
1 0 1
3 0 0
0 0 0
3 3 2
1 1 3
2 0 0
3 2 1
0 3 3
1 1 0
2 2 1
10 9
2 2 2
3 3 0
1 0 2
0 2 3
1 2 0
3 1 1
0 3 2
2 2 3
0 2 0
3 3 2
10 4
1 1 3
0 1 1
3 3 2
1 0 3
0 0 2
3 0 2
0 0 1
0 1 0
1 1 1
3 1 0
10 8
0 1 1
1 2 0
0 1 2
2 2 1
2 2 2
1 0 1
1 1 0
2 0 1
0 2 0
1 1 2
10 5
1 3 1
1 1 0
3 2 3
2 0 2
1 2 3
0 2 2
0 3 0
0 1 0
3 3 1
3 1 0
10 8
2 2 0
3 2 3
1 3 1
0 2 0
1 3 2
3 3 3
2 1 3
1 1 3
0 0 0
2 1 2
10 9
0 1 3
0 0 0
2 2 1
2 1 1
3 0 0
2 0 0
3 1 1
3 2 3
3 2 0
3 0 1
10 2
1 1 0
1 0 1
0 2 2
0 0 2
2 2 2
2 1 1
1 2 0
2 1 0
2 1 2
1 0 0
10 8
2 0 2
0 2 1
1 2 2
2 0 1
0 1 0
1 2 1
2 1 1
0 2 2
2 1 2
1 0 1
10 4
1 2 0
1 0 1
0 1 0
1 2 1
2 0 0
2 2 0
0 2 2
0 1 2
1 1 2
0 0 1
10 7
2 1 1
2 3 1
2 0 0
0 1 3
0 0 3
2 2 2
3 1 1
1 1 0
2 1 2
3 3 0
10 2
0 2 0
3 1 0
2 1 3
0 1 3
3 0 2
1 1 0
1 2 0
0 2 2
1 2 1
1 2 2
10 2
3 1 0
0 3 3
0 0 1
3 2 3
2 1 1
0 1 0
0 3 2
1 0 1
3 0 3
0 2 2
10 4
1 0 0
2 2 1
2 0 0
0 2 0
2 0 1
1 2 2
2 2 2
1 1 0
0 0 1
1 1 1
10 6
1 1 0
0 1 1
1 1 1
0 1 0
0 2 2
2 2 0
0 2 1
1 1 2
0 0 2
2 0 2
10 6
2 1 1
0 1 1
1 1 0
1 0 0
2 2 1
2 0 1
0 1 0
0 0 2
1 0 1
1 2 0
10 5
0 2 2
2 2 1
1 0 0
2 0 1
0 0 1
0 2 0
1 2 1
1 0 1
0 1 2
0 0 0
10 9
2 0 0
3 1 2
1 0 3
2 2 2
3 3 3
3 0 2
0 0 3
2 0 3
2 3 3
3 3 2
10 3
0 1 1
1 2 2
2 1 2
1 0 0
2 0 0
1 2 1
0 0 0
0 2 1
2 2 0
2 1 0
10 2
1 0 1
1 1 2
2 1 2
0 1 1
1 2 0
0 2 0
1 1 1
0 0 1
0 0 0
2 1 1
10 4
1 2 1
2 2 2
0 1 2
0 0 0
0 2 0
1 2 2
0 1 1
0 2 1
0 0 1
1 2 0
10 2
3 2 3
0 2 1
1 3 2
3 2 2
1 1 2
1 2 2
3 2 0
0 2 3
2 1 1
0 0 3
10 6
0 2 1
2 2 2
0 1 2
0 0 0
1 2 0
2 2 0
1 1 2
1 0 2
2 2 1
0 2 2
10 4
2 0 1
0 0 0
2 2 2
2 2 1
0 2 0
0 1 2
0 1 1
1 1 2
1 2 0
1 1 0
10 2
2 0 0
2 0 1
2 2 1
0 0 1
0 2 0
1 0 2
2 2 2
1 2 0
2 1 2
1 1 0
10 9
0 0 2
2 0 0
1 0 0
0 2 1
1 1 1
0 1 1
0 2 0
0 1 2
2 0 1
1 1 2
10 8
1 0 1
2 2 3
2 3 1
2 3 2
1 0 0
0 3 2
0 2 2
2 2 0
2 0 2
0 1 0
10 2
0 2 2
0 2 0
0 1 2
2 1 1
1 1 1
0 0 1
1 2 1
0 1 0
0 2 1
1 1 0
10 4
2 0 1
1 1 3
1 0 0
3 3 3
2 2 3
3 3 1
3 2 1
0 3 0
0 2 2
1 1 2
10 9
1 0 3
2 2 3
2 2 2
2 0 0
2 1 2
3 2 2
1 3 0
0 1 1
0 2 0
2 2 1
10 9
1 1 0
1 0 1
1 2 2
2 0 2
2 2 0
1 0 0
2 0 1
0 1 1
2 2 1
2 0 0
10 2
0 2 0
3 2 3
1 1 2
2 3 2
0 2 1
3 2 1
3 2 0
0 3 2
2 1 3
1 3 1
10 2
1 2 0
0 1 0
0 0 1
1 2 2
0 2 0
1 0 2
1 1 2
0 1 1
2 2 2
2 0 2
10 8
3 0 0
1 0 3
0 0 0
3 3 0
0 3 0
0 0 1
2 0 2
2 1 2
2 2 0
0 1 3
10 3
2 1 0
2 0 1
0 0 2
2 1 1
1 1 2
0 1 1
1 2 0
2 2 0
0 0 0
0 2 0
10 3
2 1 2
2 0 2
1 1 2
0 1 0
0 1 1
0 0 0
2 0 0
2 1 0
1 2 0
0 2 2
10 3
0 0 0
2 2 0
1 2 2
2 2 1
0 0 2
2 1 0
0 2 1
0 1 2
2 2 2
1 1 1
10 4
3 2 3
3 1 3
1 2 0
2 0 0
0 3 0
0 0 3
0 0 0
2 1 1
0 2 0
1 1 3
10 9
0 1 0
1 1 2
2 1 0
0 0 1
2 0 2
2 2 2
0 2 2
1 2 0
2 2 1
0 2 0
10 7
1 1 0
2 2 1
2 3 0
1 0 1
2 1 3
3 3 0
3 3 1
3 2 1
1 0 2
3 1 0
10 8
1 0 1
2 1 0
0 2 2
2 0 1
0 1 0
2 2 0
0 0 0
1 0 2
2 1 2
1 2 0
10 7
1 0 2
3 2 0
3 1 3
3 3 0
0 1 3
2 3 1
3 0 1
2 0 3
3 0 3
3 1 1
10 6
2 2 0
1 2 0
0 1 2
2 1 0
2 1 1
1 1 2
0 2 2
1 2 2
2 1 2
2 0 2
10 6
0 1 2
1 1 0
0 2 2
1 0 0
1 2 0
1 1 2
0 0 0
1 0 2
1 1 1
2 0 2
10 8
0 1 1
2 1 1
0 2 3
3 3 0
0 3 1
3 3 2
1 2 3
1 0 2
2 3 0
1 3 3
10 9
0 2 1
2 1 1
2 0 1
1 0 2
2 1 0
0 2 0
1 2 1
0 1 0
1 0 1
1 0 0
10 8
2 0 2
2 1 0
1 2 0
0 1 1
2 2 0
1 0 2
2 0 1
1 0 1
1 0 0
1 1 0
10 4
1 0 1
1 0 0
1 1 2
0 0 0
1 2 0
2 1 1
0 1 1
1 0 2
2 1 0
1 2 1
10 6
1 0 1
2 1 2
2 0 0
2 2 0
0 2 0
2 2 2
1 2 0
0 0 1
0 1 2
1 0 2
10 8
0 1 1
2 0 1
3 2 0
3 2 2
1 2 2
0 1 0
3 3 1
0 0 1
1 3 1
3 2 3
10 5
1 2 2
1 0 2
0 1 0
0 3 2
2 0 3
1 2 3
0 0 2
1 2 1
2 1 3
0 2 2
10 4
2 0 3
1 2 3
3 0 1
3 1 0
1 2 1
3 0 2
0 2 2
2 1 0
3 1 2
2 3 1
10 5
2 3 3
0 0 3
3 0 2
1 3 3
0 2 2
3 2 1
3 1 3
3 0 1
1 0 1
2 1 2
10 5
1 3 1
2 0 0
3 2 1
0 2 1
3 1 1
2 3 0
0 3 0
1 0 0
1 0 1
3 1 3
10 2
2 0 2
1 3 0
3 1 0
3 0 3
1 3 3
2 2 0
0 2 0
3 3 3
3 1 1
1 0 0
10 7
0 1 1
0 2 1
1 0 0
1 2 0
0 0 1
2 0 2
2 2 1
1 1 1
2 1 2
0 2 2
10 6
0 1 0
1 0 2
0 3 2
1 3 0
3 3 0
2 3 2
2 2 0
0 3 1
1 2 3
0 0 1
10 6
2 0 1
1 2 0
3 0 2
2 2 0
3 0 3
0 0 0
0 1 3
1 0 0
1 0 3
3 0 1
10 2
1 2 3
0 2 0
1 0 0
1 2 2
1 0 1
3 2 3
3 0 3
0 1 3
2 1 2
0 3 1
10 9
0 1 1
0 2 1
0 2 0
2 1 2
1 1 2
1 0 2
0 1 0
1 2 0
0 0 1
2 2 1
10 4
0 1 3
2 3 2
3 0 1
2 1 0
2 1 1
1 1 2
3 2 3
0 3 0
1 0 0
1 3 3
10 2
1 0 0
0 1 2
1 0 2
1 3 0
2 3 3
2 0 2
3 2 0
2 3 2
2 1 3
3 1 0
10 9
2 1 0
0 1 0
0 2 1
0 1 2
1 1 0
0 1 1
0 0 1
2 0 0
2 2 2
0 0 0
10 9
1 0 2
2 0 0
2 1 0
1 2 0
2 0 2
1 0 1
0 0 1
0 2 1
1 1 1
0 2 2
10 7
0 3 3
1 0 3
3 1 1
2 2 2
1 2 2
2 1 0
1 1 1
0 0 1
3 0 2
1 0 0
10 5
2 1 0
1 0 1
3 0 0
3 0 1
0 1 2
0 0 0
0 1 0
2 3 1
1 3 2
2 0 1
10 9
3 2 1
1 2 1
2 1 2
2 1 3
3 1 0
3 2 0
3 1 2
0 0 3
2 1 1
3 2 2
10 7
1 0 2
2 2 1
0 2 0
1 1 0
2 2 0
0 2 1
2 0 1
1 2 2
1 0 1
1 0 0
10 7
2 1 1
1 1 0
1 2 2
1 1 2
2 2 1
2 2 2
2 0 0
0 1 1
2 2 0
0 1 0
10 4
2 1 2
1 0 3
3 1 2
1 2 2
2 3 0
0 1 3
3 2 3
0 2 2
3 3 1
1 0 2
10 8
2 1 3
3 3 1
0 3 0
2 3 3
3 3 3
0 2 1
1 1 3
3 1 0
2 0 0
3 0 3
10 3
1 1 1
1 2 0
2 0 2
0 1 1
0 2 1
1 1 0
1 0 0
2 0 0
1 2 1
2 2 2
10 3
2 3 1
1 1 0
1 3 1
0 0 0
3 3 1
0 1 3
2 0 0
2 2 3
2 1 0
0 3 1
10 3
2 3 3
2 0 2
0 1 3
1 3 0
2 3 0
1 0 0
3 3 1
0 1 2
3 3 0
1 2 3
10 8
2 2 2
2 1 0
0 1 0
2 0 1
0 0 0
1 2 1
0 1 2
0 2 0
0 1 1
1 1 0
10 5
0 1 3
3 3 1
2 1 2
2 1 0
1 3 1
3 3 2
1 3 2
2 2 1
1 1 1
0 3 2
10 6
3 0 0
1 2 3
1 3 3
0 3 1
3 2 2
1 0 2
2 2 2
2 2 0
0 1 3
3 3 3
10 4
1 0 0
2 2 2
0 1 0
1 1 0
2 0 0
1 1 2
0 0 0
2 1 0
1 2 2
0 2 2
10 7
3 1 2
2 1 0
3 1 3
1 0 3
1 2 3
1 0 0
2 2 1
0 0 3
3 1 1
3 2 2
10 6
1 0 1
3 0 3
1 3 2
3 3 2
1 3 3
1 1 2
0 1 0
3 0 0
2 3 2
2 0 3
10 8
3 0 3
0 1 0
1 1 2
0 0 3
0 1 3
2 1 1
2 0 1
2 1 3
1 2 1
2 3 0
10 8
1 1 3
3 3 3
3 1 3
1 1 0
2 2 3
2 1 0
2 0 0
3 2 1
0 0 2
2 3 2
10 8
1 1 0
2 1 1
1 0 1
0 0 2
0 2 2
1 1 1
2 0 2
2 0 0
0 0 1
0 2 1
10 6
1 2 1
2 0 3
0 1 3
2 0 0
2 2 0
1 2 0
3 1 1
2 1 2
3 3 0
2 0 1
10 6
2 0 0
1 1 2
2 1 1
2 2 1
0 0 0
0 2 0
1 0 0
2 0 1
2 0 2
0 2 1
10 9
0 1 2
1 2 0
1 1 2
0 0 0
2 0 2
1 2 1
1 0 2
0 2 0
0 2 2
2 2 0
10 4
1 3 0
2 0 1
3 3 2
1 1 1
0 0 3
1 1 0
2 1 3
0 2 1
0 1 0
0 3 1
10 5
1 1 0
2 0 1
0 1 3
0 2 0
1 1 3
2 3 1
1 0 2
0 1 0
1 0 3
3 2 2
10 9
1 2 1
0 0 2
2 0 0
1 1 0
2 2 2
2 1 0
1 2 0
0 1 2
1 0 1
0 1 0
10 7
0 3 3
1 3 0
1 1 1
2 1 0
1 0 0
1 2 2
1 1 0
3 1 3
2 3 2
1 1 2
10 8
2 2 1
2 0 0
0 1 1
1 2 2
2 1 2
0 2 2
2 2 2
2 0 1
1 1 1
1 1 0
10 8
0 0 1
1 1 1
0 3 0
0 3 2
2 0 3
3 3 0
3 0 2
0 3 1
1 0 2
0 2 0
10 6
2 0 0
0 1 0
0 0 1
2 1 2
0 2 1
1 0 2
2 2 2
0 2 0
1 0 0
1 1 0
10 8
1 0 2
0 2 2
1 1 0
2 1 0
2 2 2
2 0 0
0 1 0
1 2 1
2 0 1
2 1 1
10 9
2 0 1
0 0 1
1 1 1
1 1 2
1 2 0
2 1 2
1 0 1
2 2 2
1 1 0
0 1 1
10 5
3 3 3
2 1 2
1 0 0
3 0 0
3 1 0
2 2 2
2 0 3
3 3 0
3 3 2
1 2 0
10 6
2 0 2
2 1 2
0 2 2
0 1 2
2 1 1
0 1 1
1 0 1
1 0 0
0 0 0
0 1 0
10 7
3 3 2
1 3 2
2 3 2
2 3 1
0 3 3
0 2 3
0 1 2
3 2 1
2 0 2
1 0 0
10 4
2 2 1
2 3 1
3 1 1
0 1 3
2 3 0
1 0 3
1 3 0
0 2 3
2 1 1
1 2 2
10 2
1 3 2
2 1 3
1 0 0
2 3 2
3 1 1
3 1 0
1 3 1
2 0 0
1 3 0
0 2 2
10 9
0 1 0
1 1 1
1 0 1
2 0 1
2 0 0
2 1 2
0 0 2
0 2 2
1 2 1
2 2 0
10 4
1 2 1
1 0 2
0 0 2
1 1 1
0 1 2
1 1 2
2 2 0
0 0 1
0 2 0
1 2 2
10 2
1 0 0
2 1 1
1 2 1
1 0 2
2 2 1
0 2 0
1 2 2
0 0 1
0 1 1
2 1 0
10 6
0 0 0
1 1 0
1 2 0
1 1 1
1 0 1
2 1 2
0 1 0
1 0 0
0 1 2
0 2 2
10 5
2 2 2
1 0 1
0 1 1
1 1 1
0 0 0
1 2 1
1 1 2
2 2 0
2 0 1
0 0 2
10 4
0 0 0
1 2 2
2 0 2
1 0 1
2 1 2
0 2 2
2 0 1
0 2 1
0 1 0
1 0 0
10 8
3 2 2
0 0 3
0 1 1
1 2 0
2 2 2
2 0 0
3 0 3
1 1 1
2 1 2
0 1 3
10 8
1 0 1
0 0 1
0 2 0
0 2 1
1 0 2
1 2 0
2 1 1
0 0 0
2 0 1
2 1 2
10 4
0 1 1
2 1 0
0 2 0
1 1 0
0 2 1
0 0 0
2 2 2
2 2 1
2 1 2
1 2 2
10 6
1 1 2
2 1 3
1 3 0
3 3 2
2 2 2
2 1 0
0 3 2
0 2 0
1 2 1
0 0 3
10 6
0 0 2
1 1 2
2 0 0
2 0 1
0 1 0
2 2 0
0 1 1
2 1 1
2 2 2
0 1 2
10 2
1 0 1
1 2 1
2 0 1
2 0 2
2 0 0
0 2 2
0 0 2
0 1 0
2 1 0
2 2 1
10 3
3 2 0
3 3 0
0 1 1
2 2 1
1 1 3
2 1 3
3 1 3
2 3 3
0 1 2
1 1 1
10 4
1 0 1
1 2 2
2 0 0
0 1 1
2 2 0
0 0 2
0 1 2
1 0 2
0 2 1
2 0 2
10 8
2 2 1
0 3 3
1 0 2
0 2 0
2 3 3
3 0 2
3 3 3
0 0 1
2 1 3
2 3 0
10 8
0 0 0
1 0 1
0 2 2
0 2 1
0 1 0
1 2 0
0 0 1
1 2 1
0 1 1
2 2 0
10 4
2 0 0
0 0 1
1 2 0
2 0 1
2 1 0
2 2 1
1 0 1
1 1 1
0 2 2
0 1 2
10 5
1 0 2
1 3 3
0 3 2
1 1 3
0 3 0
2 2 0
3 0 1
3 0 3
0 2 2
1 0 3
10 8
2 0 1
2 1 1
3 0 1
2 2 2
3 2 3
2 3 3
1 0 3
0 2 0
0 0 0
3 0 2
10 6
0 1 2
0 1 1
1 2 0
0 0 1
0 2 1
0 1 0
0 0 2
2 0 1
1 0 0
0 2 0
10 4
2 0 2
1 1 3
2 3 0
0 0 1
1 1 0
3 3 3
0 2 2
2 1 1
2 2 2
0 1 2
10 9
2 1 1
1 1 0
1 0 0
0 1 0
1 2 2
2 0 0
2 1 0
0 2 0
1 2 1
1 0 2
10 2
1 3 0
3 3 1
2 3 3
2 1 3
1 2 1
3 2 0
0 1 2
3 1 3
0 3 2
0 3 1
10 2
3 2 0
0 3 2
2 1 0
0 2 3
3 2 3
0 1 3
0 2 2
1 3 2
0 0 2
1 0 3
10 5
1 0 3
0 1 3
0 2 2
1 3 2
2 0 2
2 3 1
3 3 0
2 2 3
3 3 1
1 2 0
10 8
3 3 0
0 0 0
3 2 2
0 1 0
0 3 1
3 1 3
1 1 2
0 2 3
3 1 2
1 0 1
10 9
3 1 2
0 1 1
2 0 1
1 0 2
1 3 2
1 1 0
0 0 3
0 3 2
2 1 0
3 2 2
10 5
2 2 1
0 2 1
1 0 1
0 2 2
2 2 0
2 2 2
0 0 2
1 2 2
1 2 0
2 0 0
10 4
1 0 1
2 0 3
2 0 2
3 1 2
2 3 2
3 3 1
2 1 0
3 0 1
3 0 3
1 1 3
10 4
0 2 2
2 2 0
1 0 1
2 0 2
2 1 1
1 0 2
1 1 2
0 1 1
2 1 2
1 2 2
10 3
0 0 0
1 2 2
2 1 1
2 1 2
2 0 1
0 2 1
0 2 0
1 0 2
1 1 1
0 0 2
10 4
2 0 3
1 0 3
0 3 0
0 3 2
0 2 3
1 3 2
0 0 0
1 0 0
1 0 2
3 3 3
10 7
1 0 3
3 1 0
2 0 1
0 3 3
2 3 1
2 2 2
1 0 2
3 1 2
2 3 3
1 2 2
10 8
1 0 0
3 0 3
2 2 2
1 2 1
3 0 2
1 2 3
3 0 1
1 3 0
0 1 1
0 0 3
10 2
3 1 3
2 3 3
2 1 3
1 3 0
0 1 3
1 2 2
3 0 1
3 0 3
0 0 2
2 3 1
10 2
1 1 2
3 0 1
1 0 1
1 3 1
2 1 1
1 2 1
2 1 3
1 0 0
3 0 2
3 3 2
10 9
1 1 2
0 0 1
2 2 1
0 1 2
2 2 2
1 1 0
1 0 1
0 2 1
2 1 0
2 2 0
10 3
3 2 1
0 1 2
0 0 0
3 1 0
2 0 1
2 2 3
3 3 2
1 2 0
3 0 0
2 1 3
10 8
2 2 0
0 0 0
1 2 0
0 2 0
2 0 0
2 2 1
2 1 2
2 0 2
2 2 2
0 2 1
10 2
0 2 2
2 2 2
2 2 1
2 2 3
0 0 1
1 0 3
2 0 0
2 0 3
1 3 1
0 2 0
10 3
0 1 3
0 1 1
0 1 2
2 1 0
2 3 0
2 0 3
0 0 3
0 0 1
0 2 3
2 3 2
10 3
0 0 3
2 2 2
1 1 1
1 2 3
1 1 3
2 2 3
1 3 1
1 0 3
3 1 3
1 0 0
10 3
2 1 1
0 1 0
1 2 1
2 1 2
0 0 0
2 0 1
0 1 1
2 1 0
1 2 0
0 2 2
10 2
0 2 1
1 0 0
2 0 0
3 0 1
3 2 0
2 2 0
0 3 1
0 3 3
2 0 2
2 2 1
10 6
2 3 2
3 3 0
3 1 0
3 0 1
1 1 0
1 0 0
2 1 3
0 2 3
2 3 0
2 1 1
10 4
1 0 1
0 0 0
0 0 1
0 2 1
2 1 1
1 0 2
2 1 2
1 1 2
2 0 0
0 1 1
10 3
2 0 3
1 1 1
3 1 0
0 1 0
1 0 0
2 0 1
0 3 0
0 0 0
3 0 1
3 3 2
10 4
1 0 1
0 0 2
0 0 0
1 1 1
1 0 0
0 1 0
2 1 0
0 2 1
0 0 1
0 1 2
10 3
0 1 0
3 2 0
0 2 3
2 1 0
1 3 2
0 0 1
1 3 3
0 3 2
1 1 0
0 3 0
10 2
1 0 1
1 2 2
0 0 0
0 2 2
2 0 2
2 2 0
0 2 0
0 0 1
1 2 0
2 1 2
10 5
2 1 2
0 2 0
1 0 2
1 2 0
0 0 0
1 2 1
2 0 1
1 2 2
2 0 2
0 1 1
10 7
0 3 2
2 2 2
2 2 3
1 2 3
0 0 3
1 0 3
3 1 3
2 3 3
1 1 0
0 2 2
10 8
0 1 2
2 1 2
1 1 0
0 2 1
1 0 2
2 2 0
0 0 0
1 1 2
2 2 2
0 1 0
10 7
1 0 1
2 0 3
1 3 2
0 1 1
2 2 3
3 3 1
0 3 1
0 1 3
0 0 1
0 1 2
10 9
0 0 2
3 1 3
3 2 3
2 0 2
3 3 1
2 1 2
3 1 2
3 1 1
2 1 3
0 1 1
10 5
3 2 1
3 3 1
0 0 1
0 3 0
0 3 2
1 3 2
1 3 0
2 3 0
1 0 0
0 3 3
10 8
2 1 3
3 1 3
1 2 0
2 3 1
2 0 1
1 2 2
2 0 2
0 3 2
0 1 1
0 2 3
10 9
2 1 2
1 0 0
2 0 1
0 0 2
2 2 1
0 1 1
0 2 0
1 0 2
0 1 2
0 2 2
10 4
0 0 1
2 2 1
0 1 2
2 0 1
0 2 0
1 0 2
2 2 2
2 1 0
2 2 0
1 0 1
10 4
0 1 0
1 0 0
0 2 2
0 0 1
2 0 1
1 0 1
2 2 1
1 2 1
1 1 2
0 0 0
10 8
0 1 0
1 0 1
1 1 2
1 1 0
1 0 0
1 2 0
2 2 2
2 0 0
2 1 1
0 0 0
10 2
0 0 2
0 2 2
0 1 2
2 2 1
2 0 1
0 1 1
2 0 2
1 1 0
1 0 1
2 1 1
10 6
1 1 1
2 1 0
2 1 2
2 2 2
0 1 2
2 1 1
1 2 0
2 0 0
1 2 2
2 0 2
10 3
2 2 0
3 2 2
2 1 1
1 2 3
3 0 2
1 1 1
3 1 0
0 1 1
2 0 2
1 3 1
10 9
2 0 0
1 2 2
0 0 2
0 1 2
2 2 0
2 1 0
1 2 1
1 1 2
1 0 0
0 1 0
10 4
0 0 1
1 0 3
0 2 1
1 2 2
0 0 0
1 1 2
1 1 1
2 1 3
2 2 2
2 0 3
10 5
3 2 3
2 1 1
1 2 3
2 3 0
0 1 3
0 3 1
0 0 1
3 1 1
0 2 0
2 0 0
10 4
2 2 1
2 2 2
1 3 0
2 1 0
3 2 1
1 1 0
1 1 2
3 3 2
0 0 0
2 0 1
10 3
3 3 0
0 0 2
2 1 2
1 2 0
2 0 3
1 0 2
1 2 1
1 0 0
3 0 3
1 1 3
10 6
0 1 0
2 2 2
0 1 2
0 2 2
1 0 1
0 2 1
1 2 0
2 2 0
2 0 2
0 1 1
10 4
3 1 0
0 1 1
0 3 2
1 0 0
2 1 0
1 3 0
0 0 2
0 1 0
2 1 1
3 2 3
10 9
2 0 1
0 3 3
2 0 3
1 3 2
1 1 2
3 2 2
0 1 3
2 2 0
2 1 3
2 3 0
10 2
0 3 0
2 2 0
1 3 1
0 1 3
1 1 1
2 0 0
1 3 2
0 1 1
0 1 2
3 1 3
10 4
1 1 0
0 1 2
2 1 1
1 2 2
2 2 2
2 1 2
1 0 0
1 0 1
1 1 1
2 2 0
10 3
1 0 1
0 1 0
1 0 2
2 2 0
0 0 0
0 2 1
2 0 2
1 2 1
0 2 2
1 2 0
10 9
0 0 0
1 2 1
2 0 0
0 2 2
0 1 1
0 0 1
2 1 2
1 0 2
2 2 1
2 0 1
10 6
1 1 1
2 2 0
1 1 2
2 1 2
0 0 2
2 2 2
1 0 2
0 2 1
0 1 1
0 2 0
10 9
0 2 0
0 0 0
1 1 2
2 2 1
0 0 1
1 2 0
1 1 0
1 2 1
0 1 1
1 0 1
10 9
0 0 1
1 1 1
1 3 1
3 1 1
0 3 2
0 2 3
2 2 1
3 1 2
2 3 3
2 1 2
10 2
1 0 0
2 2 2
0 2 2
2 2 1
1 0 2
0 2 0
1 2 0
2 0 2
1 0 1
2 0 0
10 9
1 2 1
0 0 0
1 0 1
2 0 1
0 0 1
2 0 2
1 0 2
2 1 1
1 0 0
0 2 1
10 6
2 3 2
2 0 1
1 0 1
2 1 0
3 0 1
2 0 0
0 3 0
3 0 2
3 2 3
0 1 1
10 7
2 0 0
1 0 0
2 0 1
2 0 2
0 2 2
1 1 0
2 2 2
1 2 2
0 0 2
1 1 2
10 6
1 1 2
0 1 2
0 1 1
2 1 2
1 2 2
2 1 1
1 2 1
2 1 0
0 2 2
2 0 2
10 8
3 2 0
1 3 3
0 2 1
3 0 2
0 0 0
1 3 0
1 1 1
3 3 0
0 1 1
0 0 2
10 2
2 2 1
1 2 0
1 0 2
1 2 2
1 1 2
2 1 1
0 0 0
2 2 2
0 2 0
2 1 2
10 9
1 1 3
2 0 2
2 3 3
2 2 0
0 3 2
0 2 2
1 3 3
1 3 0
1 0 3
1 3 1
10 9
2 0 0
0 3 2
1 0 0
2 0 1
3 1 3
2 1 2
1 2 0
2 3 0
3 1 0
3 2 1
10 4
2 3 1
0 3 3
3 1 1
0 1 2
2 2 2
0 2 1
0 2 3
1 0 0
1 0 3
2 2 0
10 4
2 0 0
3 0 2
2 0 1
0 3 0
0 2 1
0 1 3
1 0 0
1 1 2
0 3 3
2 3 2
10 8
2 2 1
2 1 0
2 1 1
1 2 1
1 2 0
1 0 1
0 2 2
0 0 1
0 0 2
0 1 0
10 8
3 3 2
2 0 0
3 2 2
0 0 0
0 1 1
1 3 3
1 3 1
3 0 2
3 1 3
1 2 3
10 6
0 2 1
0 2 0
2 0 2
1 0 0
1 2 2
1 0 1
2 2 1
1 0 2
0 0 1
2 2 0
10 6
2 2 2
1 2 1
1 0 2
2 1 1
0 1 0
1 1 1
0 2 0
1 1 0
2 1 0
2 0 1
10 6
2 0 0
2 1 2
2 2 0
1 0 1
2 1 0
0 0 0
1 1 1
1 0 0
1 1 2
2 2 2
10 9
1 2 1
2 0 1
2 2 0
1 0 1
2 0 2
0 0 2
2 2 2
2 1 0
1 1 0
1 0 2
10 6
2 0 2
0 2 1
1 0 1
1 1 0
2 1 2
2 0 1
2 1 0
2 2 0
0 2 0
0 0 0
10 3
2 2 1
2 2 0
0 1 2
1 1 0
0 2 2
1 0 0
2 0 0
0 1 0
2 1 0
1 0 1
10 7
2 1 1
0 1 2
1 1 2
0 0 0
1 1 0
1 0 2
2 0 2
1 2 0
1 0 1
0 1 0
10 4
1 0 1
2 1 0
1 2 2
0 0 0
2 2 1
1 1 0
2 1 2
2 2 2
0 1 2
1 2 1
10 8
3 2 0
3 2 3
1 3 0
0 0 1
2 2 3
1 1 3
2 1 0
3 2 1
1 0 1
1 0 3
10 6
1 0 1
2 0 3
2 0 0
2 3 2
1 0 0
3 0 1
3 1 2
1 3 1
2 1 3
1 0 2
10 9
1 2 1
1 1 2
0 2 0
0 2 2
2 0 0
0 0 1
2 1 1
1 1 1
1 0 2
0 0 2
10 9
2 2 2
2 1 2
0 1 1
0 1 2
1 0 1
2 2 0
0 0 1
0 1 0
1 0 2
2 0 2
10 2
0 0 2
2 1 3
0 0 3
0 1 3
0 1 0
2 2 2
3 0 2
3 0 1
0 0 1
1 1 1
10 9
2 2 1
1 2 1
2 0 2
0 2 2
0 0 2
0 1 1
0 1 2
1 0 2
1 1 2
1 2 0
10 8
2 0 1
2 1 1
0 0 2
1 2 1
0 1 0
1 1 0
0 2 2
0 1 2
2 1 0
1 0 2
10 2
1 0 1
3 3 1
1 1 0
2 2 2
2 0 2
2 1 3
1 0 2
0 2 1
2 0 1
2 3 2
10 4
1 2 2
1 1 1
1 3 1
3 0 0
1 2 1
0 1 1
1 0 3
3 0 2
3 3 2
0 1 2
10 7
0 0 1
1 0 0
2 0 0
2 1 0
1 0 1
1 1 0
2 0 1
0 1 2
2 1 2
1 1 1
10 7
1 1 0
1 1 2
0 1 1
1 0 1
0 0 1
0 1 0
1 2 0
2 2 1
2 0 2
2 1 1
10 5
1 0 3
1 0 2
3 0 0
2 3 1
2 3 3
1 0 0
0 2 2
1 2 3
3 3 1
2 1 0
10 6
3 2 3
2 0 0
2 2 2
0 1 3
2 3 0
1 2 3
2 2 1
3 1 1
3 1 0
1 0 0
10 7
0 1 1
0 2 0
2 0 2
1 0 2
1 2 0
2 2 2
1 1 1
0 0 1
1 0 1
2 1 1
10 4
0 1 0
1 1 2
0 2 1
0 1 1
2 1 2
1 2 2
0 0 1
2 2 2
2 1 1
1 2 1
10 5
2 3 2
1 1 1
3 3 1
1 3 3
1 3 2
0 2 0
2 1 3
2 3 3
3 1 1
3 3 0
10 7
1 0 1
1 1 0
2 1 2
1 2 2
2 0 2
0 2 2
2 1 1
1 0 0
2 0 1
0 2 0
10 4
0 2 0
0 1 0
2 2 1
1 1 2
0 0 2
2 0 1
0 2 2
0 1 2
1 2 1
0 0 1
10 4
2 0 2
3 1 3
2 1 3
1 3 2
1 1 3
1 0 3
3 0 1
3 2 1
0 1 3
3 3 2
10 2
0 2 3
0 1 1
3 3 3
1 2 1
2 0 3
1 1 3
2 0 2
1 0 3
1 2 0
3 1 3
10 2
0 1 3
0 3 3
2 1 0
3 3 3
2 2 1
3 2 3
0 1 2
1 1 2
2 0 1
2 0 0
10 6
1 2 1
1 1 1
0 2 1
2 2 0
2 2 1
0 1 0
1 0 2
0 0 1
1 2 0
2 1 2
10 5
1 1 1
1 2 1
1 2 0
2 0 2
0 2 2
2 1 1
1 0 2
2 2 1
0 2 1
2 1 2
10 2
2 1 2
2 0 2
2 3 2
0 2 2
3 3 0
0 1 2
0 3 1
1 2 1
1 2 2
3 0 3
10 6
0 3 0
2 3 0
2 2 3
0 0 3
1 0 2
0 0 1
2 3 3
2 1 1
0 3 2
3 2 0
10 5
1 0 2
1 2 1
2 0 0
1 0 0
1 1 1
2 2 1
1 2 0
0 0 0
2 1 2
2 0 1
10 3
1 0 0
2 2 0
1 3 0
3 1 2
2 3 2
0 3 2
2 0 3
2 1 2
0 3 1
1 2 3
10 4
2 1 2
0 0 2
0 2 0
0 0 1
0 3 0
0 1 1
0 2 2
2 3 2
2 1 1
0 0 0
10 5
2 2 1
0 0 2
0 2 2
0 1 2
1 0 1
2 2 2
2 0 0
2 0 1
0 0 1
1 1 1
10 8
2 3 3
1 1 1
0 0 3
1 3 0
1 1 3
2 3 1
1 0 0
3 1 1
0 3 0
2 0 2
10 5
1 2 0
2 2 1
0 0 2
1 2 1
1 1 2
0 2 1
2 0 0
0 0 1
2 1 0
2 2 0
10 2
2 0 2
3 0 3
3 2 3
2 3 1
1 3 3
2 3 0
1 3 2
0 3 2
0 0 2
3 3 0
10 5
0 2 0
0 2 2
2 2 1
2 0 2
0 0 2
1 0 2
0 0 0
1 2 2
2 1 1
0 1 0
10 9
0 2 2
1 1 1
0 0 1
1 2 0
2 2 1
2 2 2
2 1 1
2 0 1
0 0 2
2 1 2
10 3
2 1 1
2 1 0
1 2 0
0 1 2
0 2 2
0 2 0
0 0 1
1 2 1
1 0 1
2 0 0
10 3
2 2 0
0 1 0
0 0 1
2 0 2
1 2 0
1 2 2
1 1 2
0 1 2
0 2 1
2 2 2
10 2
2 0 2
1 1 1
0 0 1
2 0 0
0 2 0
2 2 0
0 1 2
0 0 0
1 2 1
1 0 2
10 3
2 2 1
0 2 1
0 1 1
1 2 2
2 0 2
1 0 0
1 0 1
2 1 0
0 2 0
0 0 1
10 9
2 1 0
2 0 1
2 2 1
2 0 2
0 0 0
2 1 1
2 2 0
0 2 2
1 2 1
1 0 1
10 4
2 2 3
0 1 3
2 0 2
1 0 3
0 0 0
1 1 1
2 2 2
1 0 0
2 2 0
0 1 0
10 8
3 1 2
2 2 1
2 3 1
0 3 2
0 1 0
1 2 2
3 2 0
2 0 1
1 3 1
3 3 1
10 3
2 1 0
1 0 0
2 1 2
1 0 1
1 2 0
1 1 0
0 2 1
2 2 1
2 2 0
2 0 2
10 2
0 2 0
2 1 0
2 2 1
0 2 2
2 0 0
1 0 1
1 1 2
1 2 1
0 1 2
2 2 0
10 2
0 0 1
0 2 1
0 1 1
1 2 1
2 1 2
0 0 0
1 2 0
2 0 1
2 1 1
0 0 2
10 2
1 1 1
0 0 2
1 1 0
1 0 2
1 0 1
0 2 0
1 2 2
1 1 2
2 0 2
2 1 0
10 7
2 0 1
3 1 2
2 1 3
2 1 2
1 3 1
3 2 2
3 3 0
0 0 0
1 1 3
1 2 1
10 9
2 0 1
0 2 1
1 0 1
0 1 2
1 1 1
0 0 1
1 1 0
1 0 2
2 2 1
2 1 2
10 7
0 3 3
3 1 3
1 2 3
3 2 0
1 1 1
2 0 3
3 0 0
0 2 2
0 0 2
1 1 2
10 4
3 0 1
1 1 3
2 2 1
0 2 0
1 1 1
3 0 0
3 0 3
3 3 0
1 3 2
0 0 1
10 6
0 1 3
0 0 0
3 3 2
0 2 0
1 0 1
2 3 2
2 3 0
0 1 0
3 2 0
3 3 3
10 8
1 1 0
1 1 2
2 1 0
0 2 1
2 2 1
1 2 1
0 1 1
1 0 0
0 0 2
0 0 0
10 8
2 2 0
1 2 2
0 1 1
0 2 1
1 1 1
2 0 0
1 0 1
1 1 0
1 0 2
0 0 1
10 4
0 0 2
0 0 1
1 2 0
0 2 1
1 1 0
1 0 2
0 1 2
0 1 0
1 2 2
0 0 0
10 7
3 3 1
1 2 3
1 2 1
1 3 0
0 3 1
1 1 3
2 0 3
3 0 2
1 0 3
1 1 2
10 6
1 3 0
3 0 0
1 1 3
0 0 3
1 1 0
3 0 1
2 2 0
0 0 0
2 3 1
0 2 3
10 6
2 2 1
1 0 2
1 2 1
0 1 2
0 1 3
2 1 0
1 2 2
2 2 0
0 2 2
3 2 0
10 7
0 0 2
3 2 1
3 0 1
0 0 3
1 1 0
3 0 3
0 3 0
2 0 2
1 0 2
2 2 0
10 8
1 0 2
2 2 2
2 0 1
0 1 1
0 2 1
0 2 2
1 1 2
1 1 1
1 1 0
0 0 2
10 8
3 3 2
2 3 0
1 3 1
0 1 2
2 2 3
1 1 3
0 3 2
1 0 2
1 2 2
1 2 0
10 7
2 1 1
2 3 1
0 3 2
1 2 2
2 0 2
3 0 2
0 1 3
2 2 1
3 1 0
0 1 1
10 8
2 0 0
0 2 2
0 2 0
2 2 0
2 1 1
0 0 2
2 0 2
0 2 1
2 1 2
0 1 1
10 4
2 0 0
0 1 2
3 0 2
0 1 1
0 2 0
3 0 3
0 3 2
0 3 0
1 1 3
3 1 0
10 7
0 2 1
0 1 1
2 2 0
3 2 1
3 0 3
1 2 1
1 3 0
0 0 0
1 0 2
3 1 3
10 5
2 3 1
1 3 0
3 2 3
1 0 0
3 1 1
0 2 2
1 1 2
1 2 2
1 3 3
3 0 3
10 7
0 0 1
0 2 2
1 0 0
2 0 0
1 2 2
1 1 2
1 2 1
2 2 1
2 2 0
1 2 0
10 7
1 1 0
1 1 1
1 2 2
2 0 2
0 2 1
0 2 0
0 0 1
2 2 2
0 2 2
0 0 2
10 4
0 3 3
2 0 3
3 3 3
1 2 2
0 0 1
0 0 0
0 1 3
2 2 0
0 2 3
1 1 3
10 6
1 3 2
1 0 3
2 1 2
1 2 3
1 0 2
0 2 1
0 1 0
3 0 3
2 0 3
2 2 0
10 4
1 2 2
2 3 1
0 3 0
3 1 0
0 3 3
1 1 0
0 1 1
3 3 0
3 0 1
1 1 2
10 5
0 2 1
0 2 0
0 1 1
2 0 0
2 0 2
1 2 0
2 1 1
1 0 0
1 0 1
0 0 0
10 6
1 2 2
1 1 2
0 1 1
1 0 0
1 0 2
2 1 0
0 1 0
2 0 1
2 0 0
0 0 1
10 5
1 1 0
1 2 2
2 0 0
2 1 0
3 0 3
1 1 1
3 2 2
3 2 3
2 2 1
3 0 0
10 6
3 1 2
0 2 1
0 0 3
2 1 1
2 0 1
0 1 2
1 0 0
1 2 2
2 3 2
1 3 3
10 5
1 2 1
0 1 1
2 0 1
0 1 2
2 0 2
2 1 2
1 0 2
2 2 0
0 1 0
1 1 2
10 9
2 0 2
0 0 2
2 1 2
0 0 0
1 1 1
1 2 1
0 1 1
0 2 1
1 0 1
1 1 2
10 3
2 1 2
0 3 0
0 0 0
1 1 1
0 3 1
3 2 2
3 3 0
2 3 0
1 1 0
1 3 1
10 5
3 1 3
3 3 2
1 1 1
3 1 1
3 2 1
1 3 3
3 1 2
1 2 1
0 3 2
1 2 2
10 8
2 2 0
1 2 0
1 1 0
2 0 0
0 2 0
1 1 1
0 1 2
2 1 2
1 0 2
1 1 2
10 8
1 1 0
0 1 1
2 1 2
1 2 1
2 2 1
0 2 0
1 2 2
2 1 0
2 1 1
0 2 1
10 5
3 2 0
2 1 0
2 3 1
0 2 2
2 1 1
1 0 1
0 0 2
0 3 3
0 3 2
3 0 3
10 6
1 1 2
1 0 1
2 1 1
2 2 2
1 1 0
2 2 0
2 1 0
1 1 1
1 0 2
0 1 1
10 6
2 0 2
2 0 1
2 0 0
2 1 0
2 2 2
0 2 1
2 1 2
0 2 2
0 2 0
0 0 0
10 7
2 2 0
2 2 2
0 1 0
0 2 1
1 1 0
0 0 2
1 2 1
1 0 1
1 0 2
2 2 1
10 8
0 2 2
3 0 0
0 3 0
2 3 1
1 1 0
1 2 3
3 1 1
3 1 2
1 1 1
3 0 2
10 4
2 1 0
1 3 3
0 3 2
1 1 0
0 1 3
3 3 2
2 2 2
3 2 0
0 1 0
3 3 3
10 6
1 2 1
0 0 2
0 1 1
0 2 2
1 1 1
1 0 2
2 1 0
0 2 0
2 1 2
1 0 0
10 7
0 2 1
1 0 0
0 0 1
0 0 2
2 0 2
0 2 0
1 1 0
0 0 0
1 0 1
2 2 2
10 5
2 3 3
1 3 1
2 2 2
0 1 2
2 0 3
0 2 0
1 2 3
0 2 3
3 0 2
2 3 0
10 2
0 0 2
2 1 2
1 2 0
1 1 2
1 0 0
0 0 0
0 1 2
2 2 0
2 0 2
1 0 1
10 3
2 2 1
1 0 2
0 1 1
0 2 0
1 0 0
2 2 0
1 2 1
2 0 0
0 1 0
2 1 1
10 8
0 0 0
3 2 1
0 1 3
0 2 0
2 1 0
1 2 3
0 2 2
0 1 0
0 1 1
1 3 0
10 5
2 2 2
1 0 2
1 1 0
0 2 1
2 1 0
1 0 0
2 2 1
0 2 0
1 2 0
1 2 2
10 5
0 0 3
1 2 0
0 1 0
2 0 1
3 1 3
2 0 2
3 0 1
0 1 2
2 2 3
2 1 2
10 8
1 2 0
1 0 1
1 1 1
0 0 2
2 1 2
1 1 2
2 0 1
0 0 1
2 2 1
2 2 0
10 9
2 0 2
1 0 2
0 0 0
2 2 1
2 2 2
1 2 0
1 0 0
0 0 1
2 1 0
0 2 0
10 3
2 3 0
3 0 1
1 0 2
1 1 2
3 1 1
1 1 0
3 3 2
3 0 3
3 1 0
3 0 2
10 4
0 2 0
1 0 0
0 1 2
0 1 0
2 2 0
0 0 1
2 0 0
2 2 2
1 1 1
1 2 2
10 5
2 1 2
2 2 1
0 0 0
1 1 0
1 2 2
2 1 1
1 1 2
2 0 1
1 0 0
0 2 2
10 8
1 1 0
2 1 2
2 0 0
1 0 0
0 2 0
1 1 1
2 0 2
1 0 1
0 2 1
1 1 2
10 7
1 3 2
2 2 0
0 2 1
2 0 3
0 3 3
2 1 0
3 1 0
1 0 2
3 1 1
2 3 0
10 9
2 3 0
3 1 1
1 2 1
0 1 0
3 0 0
2 2 2
0 3 1
2 3 2
0 2 1
1 3 2
10 8
0 1 2
2 1 1
1 2 2
2 0 1
1 1 1
0 1 1
1 0 0
1 1 2
1 0 2
0 2 0
10 2
0 1 1
0 0 3
1 0 3
2 1 3
2 2 2
0 1 3
1 2 3
3 1 2
2 1 2
2 2 0
10 7
2 0 0
2 0 2
0 0 2
2 1 1
2 2 1
1 2 1
2 2 0
0 1 1
2 1 0
1 1 1
10 8
2 3 2
1 0 0
3 0 1
3 3 1
1 2 0
1 1 0
1 1 2
1 1 3
2 2 3
2 3 1
10 3
1 0 2
0 2 3
3 3 1
1 3 3
3 0 1
1 2 3
2 0 2
2 1 2
1 3 0
1 1 0
10 2
2 0 1
0 0 0
2 2 2
1 1 1
0 1 0
1 2 0
0 0 2
0 2 2
0 0 1
0 1 2
10 8
2 0 2
1 1 0
0 2 1
0 1 1
1 0 1
1 0 0
2 2 1
2 1 0
0 0 1
1 1 1
10 4
2 1 1
2 1 0
3 2 0
3 3 3
0 0 3
1 0 0
0 0 1
0 1 2
3 3 0
3 0 1
10 4
1 1 1
3 3 3
0 3 1
2 0 1
1 2 2
1 0 0
1 3 0
0 0 2
1 2 1
3 3 2
10 4
1 1 3
0 3 0
0 1 2
3 1 1
1 2 1
1 1 1
0 1 1
2 1 2
0 3 3
2 1 3
10 3
1 0 2
3 2 3
1 3 2
2 1 0
3 0 0
2 2 0
2 3 1
2 0 2
0 0 1
0 0 3
10 4
1 0 2
0 1 1
2 0 0
2 2 1
0 0 0
2 1 0
2 2 0
2 2 2
2 0 2
1 1 0
10 2
1 0 2
2 2 1
0 2 2
2 0 2
0 1 2
1 0 0
0 2 1
1 2 1
1 2 2
2 0 1
10 8
1 1 0
2 1 1
2 2 0
1 2 1
0 0 2
0 0 1
0 2 0
2 1 2
2 0 2
2 2 1
10 8
1 0 1
0 0 0
2 0 1
1 0 0
0 2 1
2 1 0
1 2 1
2 0 2
1 0 2
0 1 1
10 3
2 1 0
0 2 2
1 1 1
2 0 1
2 0 2
0 1 2
2 1 1
1 2 0
0 1 0
1 2 1
10 5
2 2 1
0 1 3
1 2 0
3 1 1
0 2 3
0 3 1
3 1 3
1 1 0
3 0 0
2 1 2
10 4
2 1 1
1 2 0
0 0 2
2 0 1
1 0 1
0 1 1
1 1 0
2 2 0
2 0 0
0 1 0
10 9
3 1 0
3 0 3
0 2 1
0 1 2
2 0 3
2 1 2
1 2 0
1 1 2
0 0 2
1 1 3
10 8
3 3 1
3 1 3
0 2 1
1 3 0
0 3 0
0 0 2
0 0 3
0 1 0
1 1 2
0 1 1
10 2
3 1 1
0 2 2
0 3 0
3 2 1
3 0 2
3 2 2
2 2 2
2 3 1
0 1 0
1 2 3
10 9
1 1 2
2 2 1
0 2 0
1 1 1
2 1 1
2 0 2
1 2 2
0 0 0
0 2 1
0 2 2
10 2
0 1 1
2 1 2
1 2 1
0 1 0
0 2 2
2 0 1
2 1 1
2 0 0
0 0 0
1 0 0
10 3
3 1 1
2 0 2
0 3 1
2 1 3
2 1 0
1 3 1
2 3 1
1 0 0
2 2 2
0 2 3
10 5
1 1 1
0 0 1
2 0 2
0 0 0
1 2 2
2 1 0
2 2 0
1 0 0
2 1 2
1 1 2
10 9
2 1 2
1 2 1
1 1 2
2 0 2
1 1 1
2 2 1
1 0 2
1 0 0
0 0 0
1 2 0
10 3
1 0 2
1 0 1
2 2 0
1 2 2
1 1 1
1 2 1
1 2 0
2 1 2
2 1 0
2 0 2
10 4
0 1 0
1 2 0
1 1 2
1 0 1
2 0 1
1 2 2
0 2 2
2 1 0
0 0 0
2 0 2
10 2
1 0 2
0 2 1
1 0 1
1 1 0
2 0 0
0 0 1
2 0 1
2 0 2
0 0 0
1 1 1
10 4
1 1 0
1 2 2
3 2 2
3 3 3
2 3 2
1 0 1
0 3 1
2 2 3
2 0 1
3 3 0
10 9
2 1 1
1 2 1
2 0 0
0 2 1
1 0 1
2 0 2
1 0 2
0 1 1
0 2 0
0 1 2
10 4
1 2 2
0 0 1
2 1 0
1 0 0
2 0 2
0 1 1
0 0 0
2 0 0
1 0 2
0 2 2
10 6
0 1 0
3 2 3
3 3 0
1 0 0
1 2 2
0 2 0
0 0 0
0 1 2
3 1 2
3 2 1
10 3
1 2 2
0 2 1
1 2 1
1 1 1
2 1 1
2 0 0
0 0 2
0 1 2
1 0 0
0 2 2
10 4
0 0 1
2 2 2
1 0 0
2 2 1
1 0 1
2 1 1
0 1 1
1 1 0
0 1 0
0 2 2
10 3
2 0 1
2 0 0
0 1 2
2 1 0
1 2 0
0 1 1
0 1 0
1 0 1
2 2 0
0 0 1
10 9
0 2 3
2 2 3
3 0 2
2 1 1
2 1 0
3 2 1
3 1 3
3 2 3
1 1 3
2 3 3
10 7
0 0 1
0 2 0
2 1 0
0 2 2
0 1 2
0 2 1
0 1 0
1 0 1
2 2 1
1 0 2
10 2
1 2 0
1 1 2
1 2 1
0 0 2
2 0 0
0 1 2
2 1 1
0 2 1
2 0 2
0 1 0
10 8
1 3 1
0 1 0
0 2 0
0 3 0
2 2 2
2 3 3
1 2 2
2 0 1
3 1 3
1 0 2
10 3
0 0 2
1 0 1
2 2 3
2 2 2
3 1 2
3 1 1
1 1 0
3 0 1
0 1 1
2 1 1
10 7
0 2 2
2 0 2
1 0 1
2 1 0
2 0 0
2 2 1
2 0 1
0 1 2
1 1 0
0 0 2
10 5
2 2 1
0 0 0
2 0 1
1 1 1
2 1 1
1 0 1
0 1 2
2 0 0
0 0 1
2 1 0
10 8
2 0 2
0 1 0
0 0 2
2 0 0
1 0 0
1 0 1
1 1 1
0 1 2
2 0 1
0 0 0
10 2
2 2 1
0 0 3
0 3 2
1 3 2
1 0 0
1 2 0
2 0 2
3 0 0
2 2 0
2 0 0
10 5
2 1 3
2 1 2
0 1 1
0 0 2
3 0 0
2 1 0
2 2 2
3 0 3
3 1 0
0 1 2
10 2
0 1 0
2 0 1
2 0 2
0 2 1
2 0 0
0 1 1
1 2 0
0 0 2
0 2 0
1 2 2
10 9
0 1 1
3 0 2
0 2 3
3 3 1
3 2 3
2 0 0
2 1 1
2 2 2
3 3 2
0 0 1
10 5
1 2 0
0 1 0
3 3 2
2 0 2
2 2 3
1 2 1
2 0 3
0 1 3
0 3 1
3 2 3
10 8
2 1 1
0 1 1
0 0 1
2 0 2
1 2 2
1 1 0
2 2 2
1 0 2
1 0 0
0 2 2
10 9
2 0 2
3 1 1
1 0 1
0 0 1
3 3 1
1 1 1
2 2 3
2 3 1
1 2 3
0 2 3
10 6
2 1 0
1 1 2
0 2 1
0 0 2
2 1 1
1 2 1
1 1 1
1 0 1
2 2 0
0 1 2
10 4
2 2 1
1 1 0
2 0 0
2 1 1
0 0 2
2 2 0
0 1 2
1 0 0
2 0 1
0 0 1
10 5
0 1 1
3 0 1
0 2 2
2 3 0
1 3 2
2 2 0
1 3 3
0 3 0
0 1 0
3 3 3
10 3
0 0 1
1 2 1
0 1 2
2 2 0
0 1 1
2 3 3
3 0 0
2 0 1
3 3 3
1 1 0
10 3
1 3 3
1 2 3
1 0 2
2 3 3
2 3 0
0 3 3
0 1 0
2 1 2
2 2 1
2 0 1
10 7
1 2 1
3 2 3
3 0 3
0 2 1
3 3 2
0 2 2
0 3 0
2 0 1
1 0 0
1 3 3
10 4
1 3 0
0 0 0
0 0 1
3 0 2
2 2 2
2 3 1
1 2 0
1 0 2
1 3 2
1 0 1
10 2
0 1 2
1 1 2
0 3 2
3 3 1
2 0 0
3 1 0
1 2 0
2 2 3
2 0 3
3 0 0
10 7
0 1 0
1 2 2
1 0 0
0 2 0
2 2 2
1 1 1
0 2 2
2 1 2
2 2 0
1 0 2
10 8
0 2 3
3 0 2
3 2 0
1 1 1
0 3 2
3 3 2
0 1 2
0 1 1
0 0 0
0 2 0
10 9
0 2 0
2 2 2
2 2 1
1 0 2
1 2 0
1 1 2
0 2 2
1 2 2
0 0 1
1 0 1
10 3
3 0 3
0 3 2
3 0 2
1 3 1
1 1 1
3 1 2
0 3 0
1 1 3
0 3 1
0 1 0
10 5
0 1 1
1 0 0
2 2 1
1 1 0
1 0 1
1 2 2
2 0 0
2 2 0
2 1 0
2 1 1
10 3
0 3 1
3 1 3
1 3 3
0 2 1
3 1 1
3 3 3
2 0 0
1 3 2
0 3 2
3 1 2
10 7
0 2 2
2 0 0
1 1 0
0 0 1
2 1 1
0 2 1
1 1 2
2 2 1
0 2 0
2 1 0
10 8
0 0 0
0 2 0
0 0 2
0 1 1
2 1 2
2 2 2
1 0 0
2 2 0
0 1 0
2 2 1
10 9
3 2 2
2 3 3
3 2 0
1 1 3
0 3 3
0 3 0
0 3 2
2 0 0
2 1 3
2 3 0
10 2
1 1 0
1 0 1
2 1 0
1 2 2
0 2 0
1 2 0
0 1 0
0 2 1
1 0 0
0 2 2
10 7
1 3 0
0 3 3
2 2 1
1 1 0
3 3 1
3 3 3
3 2 2
3 1 0
3 2 0
2 0 0
10 9
2 2 2
2 0 2
0 1 0
2 2 1
0 1 1
1 0 0
1 1 1
0 2 1
0 2 2
2 2 0
10 3
2 0 3
2 1 2
2 3 1
0 1 2
1 3 1
3 3 2
3 2 0
1 1 3
0 2 1
0 3 1
10 7
1 2 2
1 1 1
1 0 1
2 0 2
0 1 1
2 1 2
2 2 2
0 1 0
2 0 0
1 2 1
10 4
1 2 1
0 1 2
1 0 1
1 0 2
0 2 1
0 1 0
1 2 0
0 1 1
2 0 1
0 0 1
10 8
2 2 0
1 2 2
0 0 1
0 0 0
0 1 2
1 0 2
2 2 1
0 2 2
2 0 0
1 1 0
10 4
2 1 1
0 2 2
0 1 1
2 2 1
1 1 0
0 2 0
1 2 1
0 2 1
2 0 2
2 0 1
10 6
0 2 0
2 0 1
1 2 2
1 0 0
2 2 0
1 2 1
2 1 1
2 0 2
0 0 0
1 0 2
10 4
3 0 1
2 2 1
3 3 1
2 1 3
3 1 0
1 0 1
1 0 0
2 0 2
1 1 2
1 3 0
10 3
1 2 1
0 1 1
0 1 0
0 0 0
1 0 1
0 0 1
1 0 2
2 1 0
1 2 2
0 2 1
10 6
1 0 1
0 1 0
2 2 2
2 0 2
2 2 1
1 1 1
1 0 0
2 1 0
2 0 0
0 0 2
10 9
0 1 0
1 0 3
0 0 2
2 3 2
1 0 1
2 3 3
3 0 3
0 1 3
2 0 1
1 1 2
10 3
1 0 0
2 2 2
0 2 2
1 2 2
1 1 2
1 2 0
0 2 0
0 0 0
2 0 2
0 1 1
10 9
0 1 3
2 3 2
0 0 1
1 0 3
3 1 0
3 2 3
1 2 1
0 3 2
2 0 2
3 1 1
10 2
0 2 0
2 3 2
3 1 3
1 3 0
0 0 0
3 0 1
0 0 1
2 2 0
1 3 1
0 1 3
10 6
1 1 2
0 3 2
0 3 3
1 0 1
2 1 2
0 1 0
2 3 2
3 2 2
2 1 1
2 0 2
10 4
3 1 1
3 3 3
2 2 1
3 2 3
1 1 3
2 3 2
2 0 0
1 1 2
1 0 3
2 0 3
10 8
0 1 3
2 3 3
2 3 1
1 3 1
0 0 3
2 0 0
2 2 1
1 2 2
2 0 1
3 3 2
10 3
1 2 0
0 2 2
0 0 1
2 0 0
2 1 0
0 1 2
2 0 1
1 2 2
2 0 2
0 1 0
10 6
3 0 0
1 0 1
1 3 3
1 0 3
3 1 0
0 1 1
2 1 3
1 0 2
0 1 3
2 1 0
10 9
0 0 1
2 2 2
1 1 2
1 1 0
2 1 1
1 2 2
2 0 1
0 1 0
0 2 2
2 1 0
10 8
2 2 2
0 0 1
1 1 2
2 2 0
2 1 0
0 2 1
1 1 0
0 1 0
0 1 1
0 0 0
10 3
0 0 0
0 0 1
1 2 2
0 2 1
0 2 0
1 1 2
2 1 2
2 2 2
2 0 1
1 0 0
10 4
1 0 0
2 1 1
1 1 2
2 2 0
2 0 2
2 1 2
0 2 0
2 2 1
1 2 2
0 0 2
10 8
3 2 1
3 1 3
0 0 2
3 1 1
1 3 2
2 0 1
1 3 3
3 3 2
3 2 0
1 3 1
10 3
1 1 0
1 0 2
2 0 0
0 2 2
2 2 1
0 1 1
0 0 1
1 2 0
2 0 2
1 0 0
10 9
0 0 2
3 3 1
1 3 3
0 2 2
1 2 0
0 2 1
1 0 0
3 1 2
3 2 3
2 3 3
10 9
0 3 1
1 1 3
0 3 3
1 1 2
3 2 0
3 0 2
2 2 1
0 1 1
1 3 0
0 0 3
10 2
2 1 0
1 1 0
2 2 1
0 0 0
1 1 2
0 2 2
0 1 1
1 2 0
0 2 0
2 0 2
10 5
1 2 0
2 0 1
2 1 1
0 1 1
1 2 2
0 1 0
0 0 2
1 0 2
1 1 2
2 2 2
10 2
0 0 2
1 0 1
0 1 1
0 0 1
1 2 2
2 1 1
1 1 2
1 2 0
1 0 0
0 0 0
10 5
2 1 2
1 1 0
0 0 1
1 0 1
0 1 2
0 2 2
1 2 2
1 2 0
2 2 1
0 0 0
10 4
2 3 3
1 2 0
3 1 0
2 0 2
1 1 1
2 1 3
1 1 3
3 1 1
3 3 2
2 2 2
10 3
1 2 0
2 0 2
1 2 1
0 1 0
1 0 2
1 2 2
2 2 1
1 1 2
0 2 1
1 1 1
10 8
2 2 1
0 3 0
1 1 0
3 1 0
3 2 3
1 2 0
1 3 3
0 1 3
2 2 3
2 0 3
10 5
0 1 2
1 0 2
1 0 0
2 1 1
2 1 0
2 2 0
1 0 1
1 1 2
1 1 0
2 0 0
10 4
1 0 2
0 0 3
2 3 3
3 0 2
1 2 2
3 0 1
1 1 0
1 2 3
0 2 3
2 1 1
10 4
2 1 2
0 2 2
1 2 1
2 2 1
2 0 0
2 1 1
2 2 0
1 0 2
2 0 2
1 1 1
10 2
1 1 0
1 2 3
3 2 2
2 2 2
0 0 2
1 0 1
0 0 3
1 0 0
0 3 2
1 3 3
10 6
1 0 0
2 1 0
1 0 1
2 2 2
0 0 2
1 2 0
2 2 0
1 1 0
0 2 2
0 1 0
10 5
2 1 2
0 2 1
0 2 2
2 1 0
2 2 0
0 2 0
0 1 2
0 1 0
1 2 0
1 2 1
10 8
2 2 1
2 0 0
2 2 2
2 1 1
1 2 2
2 1 2
1 1 0
2 0 1
0 2 1
2 0 2
10 7
1 0 0
2 3 1
2 0 2
3 0 3
3 2 3
1 1 3
1 3 2
1 1 1
0 1 3
3 1 3
10 2
0 1 0
2 1 2
0 0 0
2 0 0
2 2 2
0 0 1
1 0 1
1 1 1
0 2 0
2 0 2
10 5
1 2 3
0 2 1
2 3 1
2 3 3
0 3 3
3 3 1
0 1 3
1 2 2
0 3 2
2 3 0
10 6
1 0 0
1 1 0
1 1 1
2 1 1
1 0 1
1 0 2
0 1 2
0 1 0
0 2 0
0 0 1
10 3
2 0 1
2 3 0
3 3 3
0 0 3
3 2 0
0 1 1
0 0 1
0 2 0
0 1 2
1 3 2
10 8
2 0 1
2 0 2
2 2 2
1 2 2
1 1 2
0 0 2
1 0 1
0 0 0
2 1 0
0 1 2
10 2
1 1 1
2 0 0
2 1 0
0 0 1
1 0 0
1 2 1
0 2 0
1 0 2
1 2 2
2 2 1
10 4
1 0 0
0 1 1
0 1 0
1 2 2
1 0 2
0 1 2
0 2 2
2 1 2
2 0 0
2 1 1
10 5
2 0 1
1 1 1
2 1 2
0 0 0
2 2 1
0 2 0
1 1 2
1 2 2
1 0 0
1 0 1
10 9
1 2 2
2 0 2
2 0 1
1 2 1
2 2 1
1 0 2
0 1 0
1 1 0
2 1 0
1 0 1
10 5
1 3 2
1 0 0
2 1 0
3 0 3
2 3 0
1 1 1
3 3 3
0 0 1
0 3 2
2 0 1
10 3
1 0 2
2 1 0
0 0 0
2 0 1
2 2 1
0 2 2
0 0 2
2 0 0
0 1 1
0 1 0
10 8
2 2 1
2 0 1
2 2 0
1 2 1
2 1 0
1 0 2
0 1 0
2 0 2
2 1 2
0 0 2
10 5
1 0 1
1 0 2
0 2 1
1 1 1
0 0 2
0 0 1
1 2 0
2 1 0
0 2 2
2 0 2
10 5
1 1 0
2 2 2
0 0 1
0 1 0
0 2 1
2 2 1
2 1 2
1 1 1
2 1 1
1 0 0
10 9
0 2 2
2 2 0
2 1 0
1 2 1
1 2 2
0 0 0
0 2 1
2 1 1
2 0 1
2 0 0
10 4
0 1 2
0 0 1
2 2 0
1 1 1
2 0 0
0 2 1
1 0 2
0 0 0
1 0 1
2 0 2
10 4
2 2 2
0 0 0
0 1 2
2 2 1
0 0 2
1 1 0
2 2 0
2 0 2
0 1 0
0 0 1
10 8
2 2 0
0 2 0
2 0 2
1 1 0
0 1 2
2 0 0
0 0 2
0 1 1
1 1 1
1 2 0
10 3
1 1 1
2 2 0
0 1 2
0 0 1
0 0 2
2 1 1
2 0 2
2 2 1
1 2 0
2 1 2
10 3
0 1 1
1 1 0
2 1 1
1 2 0
1 0 2
2 0 1
1 1 2
1 2 2
0 0 1
2 2 2
10 3
3 0 0
1 0 3
2 1 0
2 0 2
3 0 3
2 2 2
1 0 0
1 1 3
1 3 1
1 1 0
10 4
2 3 0
2 1 1
1 3 3
1 1 3
2 0 3
1 2 2
0 2 1
2 1 2
0 3 3
3 3 0
10 4
3 2 1
1 3 1
2 1 2
1 3 2
2 1 3
3 1 0
3 1 1
0 0 1
0 3 2
1 1 1
10 7
2 2 3
1 3 1
3 1 3
3 0 3
0 2 3
3 1 1
3 0 2
0 3 3
0 0 1
2 3 1
10 7
0 1 2
2 1 3
3 3 2
0 0 0
3 2 3
3 3 0
0 0 1
0 3 0
3 1 1
1 0 1
10 8
0 1 2
1 1 1
0 1 0
1 2 1
2 0 0
2 2 0
2 0 2
1 2 0
2 2 1
1 1 2
10 3
3 1 2
3 3 3
1 3 1
3 3 2
1 3 0
3 0 1
3 1 0
1 0 3
0 3 1
2 1 0
10 9
0 1 2
0 2 0
1 1 2
0 0 2
2 0 0
0 2 2
0 0 0
0 2 1
2 2 2
2 1 0
10 3
1 2 0
2 0 0
1 3 2
2 1 0
3 2 2
3 1 0
3 3 1
0 3 3
1 2 2
0 1 0
10 5
3 0 3
2 3 2
1 1 3
0 1 3
0 2 2
1 3 2
1 2 2
0 1 0
3 2 1
2 2 3
10 2
2 1 0
1 0 2
2 0 2
1 0 0
2 0 0
1 2 2
2 0 1
0 1 0
2 2 2
0 1 2
10 6
1 2 1
0 2 2
0 1 0
2 2 0
1 0 1
0 0 1
2 2 2
0 1 2
1 2 0
1 0 2
10 9
2 3 3
1 2 3
3 3 3
1 2 1
3 2 0
2 3 2
0 0 2
0 1 1
3 0 3
3 0 0
10 7
2 1 1
0 2 2
2 2 0
0 0 1
1 0 2
1 2 2
0 2 0
2 2 2
1 1 2
0 1 0
10 2
1 3 0
3 3 0
1 2 2
3 2 1
1 1 2
1 0 3
0 1 2
0 3 0
3 1 0
1 0 2
10 6
0 2 2
2 0 2
2 0 1
0 0 2
1 0 2
0 1 0
1 0 0
0 0 0
2 1 0
2 2 0
10 8
1 2 2
1 1 0
0 0 2
1 2 0
2 1 2
0 2 0
0 2 2
2 2 0
0 0 0
0 0 1
10 8
0 2 3
0 1 1
0 3 2
0 0 3
2 1 3
2 3 3
3 1 3
2 1 2
3 3 1
0 3 3
10 6
1 0 2
2 1 1
2 0 2
1 0 1
1 0 0
2 1 0
0 2 0
2 2 0
0 2 2
1 1 1
10 5
1 2 0
1 0 2
0 1 0
1 1 2
0 1 2
1 1 3
3 1 0
1 0 0
3 0 0
2 0 3
10 9
1 0 1
1 3 2
0 1 2
1 0 0
2 1 0
1 0 3
0 0 0
0 0 1
0 1 0
3 3 3
10 6
0 2 3
0 1 0
2 2 3
1 3 3
0 2 1
3 1 1
2 0 3
3 1 3
3 2 1
0 3 0
10 5
1 2 1
1 0 2
0 1 2
1 2 0
0 0 1
0 0 2
2 2 0
2 0 2
0 2 1
1 0 1
10 3
0 2 3
1 3 2
2 2 3
3 2 0
2 3 2
2 0 1
0 3 0
2 1 0
0 1 1
2 1 3
10 4
3 2 0
0 2 2
0 1 0
3 2 2
3 2 1
2 2 1
1 1 1
3 3 1
2 1 2
2 0 1
10 5
1 0 0
1 2 2
0 1 0
2 2 0
2 0 2
0 0 0
0 0 1
0 2 1
0 0 2
1 2 1
10 9
0 0 0
0 1 0
1 1 0
2 1 0
1 2 2
1 1 1
0 2 1
1 0 0
0 2 2
2 2 0
10 6
2 2 3
0 3 2
0 2 3
0 1 2
3 3 1
3 2 2
2 3 0
1 0 1
0 0 3
3 0 0
10 6
3 0 0
3 3 3
0 2 1
2 3 1
3 3 2
0 2 0
2 1 3
2 0 0
1 1 2
1 3 2
10 9
3 2 2
1 2 1
3 2 3
1 1 3
0 1 3
1 0 3
0 1 0
0 2 1
2 2 1
3 2 0
10 9
2 2 1
2 0 1
0 1 2
0 1 1
1 2 0
1 1 2
1 1 1
0 0 2
0 2 1
0 1 0
10 9
3 2 0
2 3 0
2 2 1
1 3 1
3 0 3
0 0 0
1 1 2
1 1 1
0 3 2
2 1 1
10 6
2 1 0
0 1 1
0 1 2
1 0 1
1 1 2
0 2 1
0 2 0
0 0 0
1 2 0
2 2 0
10 2
2 2 1
1 2 2
0 2 0
0 1 1
1 2 1
0 1 0
0 1 2
2 2 2
1 0 1
2 1 0
10 4
2 3 0
1 2 1
0 1 1
3 1 0
1 2 2
1 3 2
0 2 3
0 3 0
3 0 0
3 3 1
10 8
3 2 3
3 2 0
1 0 1
0 3 2
3 1 1
2 3 2
3 0 1
0 3 3
0 1 1
2 2 2
10 4
0 3 3
0 0 1
1 1 3
0 1 3
0 0 2
1 1 1
2 0 0
2 3 0
0 2 3
2 3 2
10 6
1 2 0
2 2 1
0 2 0
0 2 1
1 0 0
2 0 1
0 0 1
2 2 0
1 1 1
0 0 2
10 6
0 1 2
2 0 1
1 0 1
2 1 0
2 1 1
0 0 1
1 0 2
0 2 2
2 2 1
0 0 0
10 6
2 2 2
3 3 3
2 2 1
1 0 1
1 2 3
0 2 0
3 3 1
0 2 1
3 3 0
2 0 0
10 8
1 1 1
0 1 2
1 1 2
0 1 1
1 0 1
2 0 1
2 0 0
1 2 1
2 0 2
2 2 2
10 7
0 2 3
1 0 0
1 3 3
2 2 1
2 3 2
2 0 3
2 3 0
2 1 3
1 1 1
2 0 1
10 2
1 0 0
0 3 1
2 3 0
3 1 0
0 2 3
3 2 0
2 2 1
3 1 3
1 1 0
3 3 3
10 3
0 1 1
0 2 1
0 2 2
1 1 2
1 2 0
2 0 0
2 1 0
2 2 2
2 1 1
0 0 0
10 7
0 1 2
0 2 0
2 2 2
2 0 0
0 0 0
1 2 0
2 0 2
0 2 2
1 2 2
0 1 0
10 3
1 1 2
2 1 1
1 0 0
0 0 1
2 1 0
2 0 1
2 2 1
2 2 2
0 2 2
0 1 2
10 6
1 0 3
2 0 0
0 2 0
2 2 3
0 3 0
0 3 1
2 3 3
3 0 1
1 1 3
1 2 3
10 5
2 3 1
3 2 2
0 0 1
3 2 0
2 2 2
2 0 0
0 3 2
3 1 0
0 0 3
0 2 3
10 7
1 0 1
0 2 1
2 0 1
1 1 0
1 1 1
2 0 2
1 0 0
0 2 0
2 1 2
0 1 2
10 3
1 2 2
1 1 2
3 3 3
2 3 2
1 1 1
0 0 1
1 2 1
0 1 0
3 1 2
0 2 0
10 2
0 0 0
1 2 0
0 3 0
0 3 2
2 2 1
0 0 2
0 3 1
0 1 2
1 0 1
3 3 3
10 8
2 2 0
0 1 2
0 2 0
2 1 1
2 2 2
2 0 0
1 2 2
1 0 1
1 0 0
2 1 2
10 5
0 1 0
1 1 1
1 2 1
2 2 1
1 2 0
2 2 2
2 2 0
2 1 1
0 2 1
1 0 2
10 2
3 3 2
0 0 1
2 3 1
1 2 0
0 1 1
0 3 3
2 0 3
0 3 2
2 0 1
1 3 1
10 4
0 3 3
0 1 0
2 2 0
0 2 1
3 1 3
1 1 3
3 0 2
1 1 1
2 2 2
0 3 1
10 8
2 2 3
3 0 0
2 2 2
2 0 0
3 1 2
2 3 2
2 0 1
3 2 3
2 3 0
2 1 0
10 2
1 2 2
2 0 2
0 1 1
0 1 2
1 0 1
1 1 1
1 2 1
0 2 2
0 2 1
1 0 2
10 8
0 2 2
1 0 1
1 2 0
0 0 0
1 1 1
0 1 2
1 2 1
0 1 0
2 1 1
2 2 1
10 3
2 3 0
3 1 2
1 1 2
2 3 3
0 2 2
3 0 1
0 3 0
2 2 3
1 1 1
2 1 1
10 3
3 3 2
0 3 2
3 2 0
1 1 3
2 2 2
2 1 0
1 0 3
1 2 3
0 2 0
2 1 1
10 6
2 2 1
2 0 1
2 2 0
1 2 1
1 0 2
0 2 0
2 1 0
0 2 2
0 2 1
2 0 0
10 6
2 1 0
2 0 2
2 2 0
1 2 0
2 2 1
0 0 2
2 2 2
1 0 1
0 0 1
0 2 0
10 7
1 0 1
2 2 0
2 3 0
3 0 2
1 2 0
1 1 3
2 2 1
2 0 0
1 0 0
3 1 2
10 2
0 0 1
0 2 1
0 2 0
0 0 2
0 0 0
2 2 2
2 1 1
1 1 1
1 1 0
1 0 0
10 8
2 2 0
1 1 1
0 2 2
1 1 2
1 2 2
2 0 2
1 2 1
2 0 1
0 1 0
1 2 0
10 3
1 2 2
3 3 0
0 2 1
3 3 1
1 1 1
3 0 2
3 1 2
3 0 1
0 1 1
0 3 0
10 2
0 1 2
2 1 2
1 0 0
0 1 1
1 1 0
2 2 2
0 0 0
2 0 2
1 2 1
1 1 1
10 9
1 2 3
1 0 1
2 3 3
0 2 1
2 3 0
3 3 3
2 1 2
3 2 1
0 0 0
2 2 3
10 9
0 1 2
0 0 0
0 2 0
2 1 1
1 0 0
2 2 0
0 2 1
2 0 1
0 1 0
1 0 2
10 2
0 2 0
1 2 0
0 1 2
1 1 0
2 2 1
1 1 1
0 1 0
2 2 0
1 1 2
2 2 2
10 7
1 2 1
3 2 0
1 0 3
1 3 3
0 3 0
2 1 3
2 2 3
1 3 2
0 2 1
2 3 1
10 4
1 0 1
1 0 0
3 0 1
0 1 0
1 1 3
2 1 1
2 1 0
1 2 0
1 0 3
1 3 0
10 9
1 3 2
0 0 2
0 2 3
2 3 0
1 3 1
2 2 2
1 0 2
1 1 1
1 1 2
1 2 2
10 8
2 3 3
3 3 2
1 1 2
3 2 0
2 1 2
1 0 1
1 0 2
2 0 1
3 2 3
1 2 1
10 7
2 0 3
3 3 2
3 1 3
0 1 3
0 1 2
2 1 0
0 1 1
0 2 1
0 0 0
2 1 3
10 8
2 2 1
0 0 1
2 1 1
2 2 2
1 0 1
1 2 2
0 0 0
0 2 1
0 1 0
1 1 0
10 6
2 2 1
1 2 0
0 2 0
1 0 0
2 2 0
2 1 2
2 1 1
2 0 1
0 1 2
1 1 2
10 6
2 2 0
2 1 2
2 1 1
0 0 1
0 2 2
0 1 0
2 2 2
1 0 2
0 1 2
1 1 1
10 6
1 0 2
0 0 1
2 1 0
0 1 1
1 1 0
0 0 0
1 0 1
2 0 2
0 2 0
2 2 0
10 5
3 2 1
0 0 0
1 3 3
3 3 2
3 2 3
1 2 3
2 2 3
1 0 0
2 2 1
3 1 2
10 6
1 0 1
1 1 1
0 2 2
0 0 0
1 3 0
3 2 3
1 0 0
1 0 3
2 3 1
1 3 3
10 5
1 1 0
0 1 1
2 2 3
1 1 1
1 2 0
2 3 3
2 0 2
2 0 3
3 1 0
1 3 2
10 3
1 2 2
2 0 1
1 0 0
0 1 1
1 0 2
0 2 0
2 2 1
0 0 1
2 1 1
1 1 1
10 2
2 0 3
3 3 0
1 2 2
2 1 1
3 2 3
3 2 1
2 2 3
1 0 3
1 1 3
2 0 1
10 9
0 1 1
2 3 1
2 2 1
1 0 1
1 1 0
1 2 1
2 3 0
1 0 3
2 0 3
0 1 2
10 3
0 0 0
0 2 1
2 1 0
2 1 2
1 0 2
2 2 2
0 1 1
2 1 1
0 2 0
1 1 2
10 2
0 1 2
2 0 0
2 1 1
1 0 1
0 2 1
1 2 0
0 0 2
0 0 1
1 1 1
0 0 0
10 4
1 0 2
2 2 1
0 1 1
0 1 2
1 0 0
0 0 1
0 2 2
0 0 0
1 2 1
2 0 0
10 8
2 2 2
2 1 1
2 3 3
3 1 3
0 1 0
2 2 3
0 1 1
0 2 3
1 1 0
0 2 1
10 2
2 2 1
0 1 1
0 2 0
2 2 2
0 1 0
1 2 2
1 1 1
0 2 2
0 1 2
1 2 1
10 7
1 1 3
1 2 2
2 2 2
1 2 1
1 0 3
0 0 2
3 2 1
0 3 0
2 3 1
0 2 0
10 7
1 1 1
2 3 2
3 1 2
1 0 3
2 2 0
0 0 2
1 0 1
3 2 2
2 0 3
1 3 0
10 8
1 1 1
2 1 2
2 0 0
1 1 0
2 2 2
1 2 1
2 0 1
0 1 1
0 1 0
2 0 2
10 8
0 2 2
0 0 0
2 2 1
2 2 2
1 1 1
1 2 2
2 0 2
2 1 0
0 1 1
1 0 1
10 8
1 0 1
2 0 2
0 1 2
2 1 2
2 1 0
1 1 2
0 1 0
1 0 0
0 2 0
0 1 1
10 9
2 0 0
0 2 2
2 0 1
2 0 2
1 2 1
0 0 2
0 1 1
2 2 0
1 2 0
1 1 1
10 2
1 1 0
1 2 2
2 0 0
0 2 0
0 0 0
1 0 2
1 1 1
0 1 2
2 0 2
1 2 0
10 2
1 0 2
1 0 0
2 0 2
0 1 2
2 1 1
2 2 2
2 0 0
1 1 0
1 1 1
0 0 2
10 5
0 2 2
1 1 2
0 0 1
0 1 0
2 0 0
1 1 0
1 1 1
2 0 2
0 1 1
2 1 0
10 4
0 3 1
3 1 2
3 1 0
1 2 1
3 0 0
2 2 0
0 0 2
0 2 3
0 0 0
0 0 3
10 6
2 0 1
1 2 1
0 1 2
1 2 2
2 1 0
0 2 0
0 2 2
2 0 2
0 1 1
1 0 0
10 9
3 2 2
2 0 2
0 2 0
1 1 1
3 0 2
0 1 2
2 1 3
1 2 1
0 3 3
2 2 3
10 7
1 0 0
2 2 1
1 2 0
0 2 0
0 2 1
0 1 0
2 2 2
0 0 1
1 0 1
0 1 2
10 7
3 3 2
2 3 3
0 0 2
3 3 3
3 2 0
2 0 2
0 1 0
3 0 1
0 0 3
3 2 2
10 9
0 3 0
2 0 1
1 3 3
1 2 3
2 3 2
2 3 0
0 1 2
1 3 0
0 2 3
1 3 1
10 2
2 2 3
0 2 3
1 1 1
3 3 1
3 3 3
2 3 0
3 1 0
1 2 3
0 1 0
0 3 3
10 3
2 2 3
1 3 0
0 0 0
0 2 1
3 2 1
1 2 0
3 3 2
0 1 2
0 2 3
1 0 2
10 6
0 1 0
1 2 0
0 2 2
2 2 1
1 2 1
2 2 2
0 0 1
1 1 1
2 0 1
1 1 0
10 8
0 1 1
1 1 1
2 1 0
0 0 2
2 1 2
0 1 0
0 2 0
2 0 2
0 0 0
2 2 2
10 5
2 0 1
2 0 0
1 0 0
1 0 2
2 2 1
2 1 2
0 0 1
0 2 0
0 1 0
0 0 2
10 8
2 2 0
0 1 1
2 0 2
3 0 1
3 0 0
0 3 3
2 2 3
3 3 2
1 0 0
2 3 1
10 5
2 1 2
2 0 2
0 1 0
2 0 0
0 0 0
1 0 2
2 0 1
1 2 2
1 1 1
0 1 2
10 7
3 0 2
2 3 0
1 0 2
0 3 1
0 1 3
0 3 0
3 1 1
2 3 2
0 3 3
0 0 3
10 4
0 1 1
0 0 2
2 1 1
2 1 2
0 2 2
1 1 2
2 0 1
0 2 1
1 2 2
1 0 0
10 9
0 1 1
3 3 2
0 3 1
0 0 1
2 3 1
0 1 2
0 2 1
0 2 0
2 0 1
3 1 1
10 7
0 0 1
1 1 2
0 2 0
1 2 0
0 2 1
2 0 0
2 1 1
0 0 0
0 2 2
2 1 2
10 2
1 1 1
1 0 2
2 0 1
2 2 0
2 1 1
1 2 2
1 1 2
0 1 0
1 0 0
0 1 1
10 3
0 1 2
0 3 1
3 2 0
2 1 1
2 2 3
3 0 3
3 1 2
0 0 3
3 2 3
2 0 0
10 6
3 2 0
2 0 0
0 0 2
1 0 3
3 0 2
0 1 0
1 3 1
1 2 1
0 3 0
2 2 3
10 9
2 0 2
0 2 1
1 0 0
0 2 2
0 1 0
1 1 2
0 1 1
1 2 0
2 2 2
1 0 2
10 8
0 2 2
2 2 0
1 0 1
1 1 0
2 1 2
1 0 0
0 0 0
1 2 0
0 1 1
1 2 2
10 7
2 0 2
1 2 2
1 2 0
1 2 1
0 1 1
1 0 1
0 1 0
1 0 2
2 0 0
2 1 1
10 2
2 3 3
0 1 2
1 3 2
2 3 2
2 2 1
1 2 3
1 3 1
3 1 1
2 1 2
0 1 3
10 6
2 0 0
0 0 2
0 2 2
2 1 1
2 0 2
2 0 1
2 2 1
0 1 1
1 0 1
0 1 2
10 7
1 0 0
2 1 1
0 1 1
0 1 2
2 1 2
2 1 0
1 1 0
1 1 2
0 2 0
0 2 1
10 8
2 2 0
1 2 1
0 1 2
0 0 2
2 1 1
1 1 1
1 0 1
0 1 0
0 1 1
1 2 0
10 9
1 1 2
1 0 0
0 0 0
2 0 1
2 0 2
1 1 1
0 1 1
2 1 0
2 1 1
2 0 0
10 7
1 3 0
1 1 3
3 3 0
2 0 0
1 1 1
2 0 3
2 3 2
1 0 3
0 2 2
3 1 3
10 5
2 2 2
1 1 0
1 0 2
1 1 2
1 2 1
2 1 0
1 2 0
2 0 1
0 1 2
2 2 1
10 4
2 1 3
2 2 2
3 1 2
0 0 2
2 1 1
0 3 2
2 2 3
1 0 3
2 2 1
2 2 0
10 6
1 0 3
3 2 0
2 0 0
0 1 3
3 0 2
3 3 0
3 2 2
2 1 2
3 0 1
1 1 0
10 8
2 2 1
1 1 1
2 0 0
0 0 2
2 0 1
2 2 0
0 1 1
1 2 0
1 0 1
1 2 2
10 6
2 1 2
1 0 1
2 2 1
0 1 3
2 0 0
1 2 0
2 1 3
0 3 0
2 3 2
0 1 2
10 3
3 1 1
0 0 3
0 0 1
2 0 1
0 1 3
2 0 3
1 1 3
1 0 2
2 3 3
1 2 2
10 8
0 0 3
2 3 3
3 2 2
3 3 1
3 0 2
1 3 1
1 3 2
0 3 1
1 3 0
2 1 2
10 7
0 2 2
2 0 0
2 0 1
0 1 0
0 2 1
1 1 0
0 0 2
2 2 0
0 1 1
2 1 1
10 9
2 1 2
0 1 0
2 0 1
1 0 1
1 2 0
2 2 2
1 2 2
2 1 0
2 1 1
1 1 2
10 4
1 3 0
2 3 3
1 1 3
0 2 1
2 1 3
3 1 0
1 0 1
3 0 1
3 3 1
0 3 1
10 6
3 0 2
0 1 3
0 0 1
2 0 0
1 3 3
1 2 3
3 0 3
2 2 3
0 3 2
1 3 1
10 7
1 3 3
3 0 0
3 1 3
2 0 2
1 0 0
0 0 3
2 3 3
3 0 3
3 2 2
2 0 3
10 3
2 1 2
1 1 0
0 2 3
1 3 0
0 3 3
1 2 1
3 3 2
1 1 3
2 2 2
2 0 2
10 3
3 1 3
1 1 1
3 3 2
3 2 3
2 1 1
1 3 3
2 2 1
1 3 2
2 0 0
2 0 1
10 3
2 1 2
2 2 2
0 0 1
1 0 2
0 1 2
2 1 1
1 0 0
0 2 0
1 1 2
2 2 0
10 2
2 3 3
2 1 0
0 2 3
1 0 3
3 2 2
2 1 2
3 2 0
3 1 0
1 0 1
1 1 1
10 7
2 1 0
1 1 2
1 1 0
3 2 3
2 2 0
2 3 0
2 3 1
3 1 2
3 3 3
0 2 1
10 6
0 1 1
2 2 3
2 1 3
3 2 2
2 3 3
2 3 2
1 0 3
3 2 0
3 2 3
2 3 1
10 9
3 2 1
3 1 3
3 3 1
0 2 3
3 0 1
0 3 2
3 1 2
2 3 2
1 2 2
0 1 1
10 6
0 3 3
2 1 1
2 0 0
3 0 2
3 2 3
2 1 2
3 0 3
0 3 0
3 3 2
0 0 0
10 4
1 2 3
3 0 1
3 0 0
2 1 0
3 3 1
2 0 2
1 2 0
0 0 2
0 2 0
2 0 1
10 3
1 0 0
2 0 0
1 2 2
0 2 0
1 1 2
0 0 1
0 1 0
2 1 0
2 2 2
0 2 2
10 4
1 2 0
0 2 1
2 0 1
0 0 2
0 0 1
1 1 1
0 1 2
2 1 2
0 0 0
1 1 2
10 2
2 1 2
2 0 0
0 1 2
1 0 1
1 0 0
1 1 1
2 1 0
1 1 2
0 0 0
0 2 2
10 8
2 3 3
0 2 2
1 0 0
3 0 2
2 2 0
2 0 0
3 1 2
0 2 0
2 2 2
0 1 0
10 2
2 0 3
2 3 3
0 0 1
2 1 2
1 1 1
3 0 0
0 1 2
2 1 0
0 3 2
0 3 0
10 2
1 2 0
1 1 1
1 2 2
0 0 0
0 1 0
1 0 2
2 2 2
2 0 2
2 2 1
0 2 2
10 8
1 1 3
2 1 0
2 0 1
1 3 2
2 0 2
0 1 2
1 1 0
1 3 0
0 2 0
0 2 2
10 3
2 2 1
0 1 0
1 1 1
1 2 1
1 0 2
2 1 1
0 0 1
2 1 2
2 0 1
1 2 0
10 7
1 0 3
0 0 1
3 1 3
3 1 2
1 3 3
1 0 2
1 2 2
2 2 3
0 2 1
2 1 2
10 5
1 0 1
1 0 2
2 1 0
2 0 2
0 0 2
2 0 0
0 1 2
2 2 0
2 1 2
0 0 0
10 5
0 1 2
1 1 1
0 2 0
0 2 1
2 1 2
2 0 1
0 1 0
0 1 1
0 2 2
0 0 2
10 7
2 1 0
2 0 1
1 2 0
1 1 0
2 2 0
0 0 1
0 2 2
0 1 0
1 2 1
0 0 0
10 5
1 0 2
2 0 2
0 1 2
2 0 1
1 2 1
2 1 0
1 2 0
0 2 2
1 0 1
2 0 0
10 6
2 1 0
0 2 1
2 0 1
2 2 0
0 0 1
2 1 2
1 0 0
0 1 1
0 0 2
0 1 2
10 3
0 1 0
2 1 1
0 2 2
0 0 0
1 1 0
1 2 2
0 2 0
2 1 0
2 0 1
2 0 0
10 5
3 3 0
3 2 2
1 1 0
1 2 0
2 1 0
0 1 1
1 2 1
2 1 2
0 0 0
0 3 1
10 8
2 2 1
1 2 0
0 0 0
2 0 1
2 3 0
1 1 2
3 3 2
2 2 3
0 0 1
3 2 2
10 6
1 2 1
1 2 0
0 1 0
1 1 1
0 2 2
1 2 2
1 0 0
2 0 2
2 1 2
1 1 2
10 7
3 2 3
3 2 1
1 1 3
0 0 1
2 3 3
2 3 0
0 3 2
0 0 2
3 3 1
3 1 2
10 6
2 0 1
2 2 2
1 1 1
1 1 3
1 2 3
0 0 2
0 1 2
3 3 0
1 0 2
1 1 2
10 2
1 2 1
0 2 2
2 0 0
1 2 0
1 0 0
0 2 0
1 0 2
0 0 1
2 0 2
0 0 2
10 9
1 0 1
3 3 0
1 0 3
0 1 1
3 3 3
0 0 2
0 3 0
1 2 2
3 2 2
3 1 0
10 6
2 2 1
1 2 2
0 1 1
0 0 0
3 2 0
1 0 0
0 2 1
2 1 0
3 2 1
2 3 2
10 2
1 2 1
1 0 1
2 2 0
2 2 1
0 1 2
1 1 2
2 0 0
0 2 0
0 0 2
2 0 1
10 9
0 1 2
2 0 1
1 1 1
2 3 1
0 2 3
2 2 0
0 0 1
2 0 3
1 0 0
0 3 3
10 9
1 2 1
2 0 3
2 3 3
0 3 2
3 2 1
2 0 2
2 1 0
3 2 0
1 0 3
3 2 3
10 6
1 2 0
2 1 1
1 1 0
1 2 2
2 1 2
1 2 1
0 1 2
1 1 2
1 0 0
2 2 2
10 9
0 1 0
3 1 3
3 3 0
3 1 0
3 0 2
1 0 1
3 1 2
3 3 2
2 0 1
2 0 0
10 5
2 0 0
0 2 2
0 0 0
1 1 0
1 0 2
1 0 0
1 2 0
0 1 0
1 0 1
0 0 1
10 5
1 3 3
2 3 0
0 0 3
3 2 0
1 1 1
3 3 1
3 3 3
0 1 2
0 2 0
1 0 0
10 7
0 1 1
2 0 0
0 1 2
2 2 2
2 1 2
2 2 1
0 0 2
0 2 2
1 0 0
0 2 1
10 6
1 2 2
3 3 3
2 0 1
2 2 2
1 0 0
3 0 3
2 1 3
2 3 1
0 1 1
1 0 2
10 7
2 2 0
2 2 2
0 1 1
1 0 2
0 0 1
1 0 1
0 1 0
2 0 0
1 1 0
1 1 1
10 5
2 2 0
1 0 2
2 0 2
2 0 1
1 1 2
2 1 2
0 1 2
1 2 2
1 0 1
0 1 0
10 9
1 2 0
1 0 1
2 1 2
1 1 0
2 2 2
0 2 1
0 2 0
1 0 0
2 2 1
2 1 1
10 5
2 2 0
1 3 1
0 3 0
3 2 3
2 3 1
2 3 3
1 2 1
0 1 1
2 1 1
0 0 1
10 8
0 1 2
0 1 0
2 2 0
2 2 1
0 0 0
0 2 0
1 2 2
0 0 1
0 2 1
2 1 2
10 8
3 2 2
2 3 0
2 3 1
3 3 0
2 0 0
2 1 3
3 3 3
1 1 2
1 3 0
2 2 1
10 6
1 0 1
2 1 0
1 0 2
2 0 2
0 0 1
1 2 2
0 2 1
0 2 0
2 0 1
2 0 0
10 6
3 2 1
3 0 3
1 0 1
3 2 3
2 1 3
0 1 1
0 3 3
1 1 3
1 0 2
1 0 3
10 2
1 3 0
2 1 0
1 2 2
0 2 1
1 0 0
1 3 2
2 3 2
3 3 1
3 2 3
3 3 2
10 3
1 0 0
1 2 2
2 2 2
2 1 0
2 2 1
1 1 1
2 2 0
2 0 1
1 2 1
1 0 1
10 3
1 1 0
1 1 1
2 2 1
0 0 1
1 0 2
0 0 2
0 1 0
1 1 2
2 0 0
0 2 0
10 4
3 2 0
2 1 1
2 1 3
2 0 3
3 0 1
0 0 0
0 0 1
2 3 3
0 2 0
1 0 2
10 8
1 3 0
0 1 3
2 1 0
1 3 2
0 0 3
2 0 1
1 1 3
3 2 0
0 3 0
3 0 0
10 4
1 1 0
1 2 2
0 0 0
1 0 2
1 1 1
1 2 0
2 2 0
0 1 1
0 0 2
0 2 0
10 5
2 2 3
0 2 2
1 1 2
1 3 0
3 2 1
0 3 2
1 2 2
1 1 1
0 2 1
2 1 1
10 9
2 1 0
2 0 1
2 0 0
2 2 2
0 0 2
0 1 0
1 0 0
1 1 1
1 2 2
0 1 1
10 4
1 2 2
3 3 3
1 0 2
0 3 3
2 2 2
3 3 0
0 0 0
2 1 3
2 3 2
2 2 1
10 9
1 1 2
1 2 0
2 2 2
0 1 1
0 2 0
2 0 0
1 1 1
1 0 2
2 1 1
1 0 0
10 3
0 1 0
1 1 0
2 2 1
0 0 1
0 0 2
0 1 2
1 2 1
1 2 2
2 1 2
1 1 2
10 6
2 0 0
2 0 3
1 0 0
0 2 3
3 3 3
2 1 1
2 2 1
3 3 2
0 1 0
2 0 1
10 8
2 0 0
2 2 3
0 1 3
1 0 2
2 0 1
2 2 2
0 1 2
3 2 3
3 1 1
1 2 0
10 2
0 2 2
0 2 0
1 1 1
0 2 1
0 0 0
0 1 0
2 0 0
1 1 0
2 2 0
2 2 1
10 9
2 3 1
3 3 1
3 1 2
1 3 2
2 1 0
3 0 3
3 2 2
2 2 2
2 0 3
0 3 0
10 8
0 0 2
0 2 1
2 2 2
1 0 2
0 1 1
0 0 0
1 1 1
0 1 0
1 2 0
1 2 1
10 7
2 0 2
1 1 0
2 0 0
3 2 1
3 1 1
3 3 0
2 3 3
3 2 3
0 3 1
2 2 3
10 7
0 1 1
0 2 0
1 2 1
2 2 2
0 2 2
1 0 2
0 1 0
2 0 0
2 2 1
0 1 2
10 3
0 3 0
3 1 3
0 2 3
1 0 2
3 3 3
0 1 1
3 0 3
1 3 0
1 1 2
0 0 1
10 2
2 1 2
0 2 2
0 2 0
0 2 1
2 2 1
2 0 0
2 2 2
1 1 0
1 1 1
0 0 2
10 2
3 3 0
3 2 0
1 3 3
3 0 0
2 2 0
1 1 1
2 1 2
1 0 1
3 1 2
3 3 2
10 6
0 0 1
0 1 0
0 2 0
1 1 0
1 0 2
0 1 1
1 0 1
1 1 2
2 2 1
2 1 2
10 4
2 3 3
3 2 3
2 2 2
2 1 0
3 2 2
0 2 3
2 3 2
3 1 2
1 2 2
3 2 1
10 4
2 2 0
2 2 1
1 0 0
0 1 1
0 2 1
0 0 0
1 1 0
2 0 2
2 1 0
1 1 1
10 7
0 1 0
1 1 1
0 0 2
3 1 1
3 1 3
2 2 1
0 1 1
0 1 3
3 2 1
0 0 0
10 5
1 2 0
1 0 0
2 2 2
0 1 1
0 0 2
0 1 0
2 2 0
2 0 2
0 2 2
1 1 2
10 6
0 0 0
1 1 2
2 1 2
0 1 1
1 2 1
0 1 2
1 2 2
0 1 0
2 2 0
1 0 2
10 6
3 2 3
3 0 0
0 0 3
2 1 0
0 3 2
3 3 1
2 0 1
2 2 2
1 1 0
0 3 1
10 4
0 0 1
2 2 0
1 1 2
1 0 2
2 2 1
2 1 0
2 2 2
1 2 0
0 2 2
2 1 2
10 2
1 1 3
0 1 3
1 3 3
0 1 0
0 3 0
0 0 2
2 2 1
3 1 2
3 3 2
1 2 1
10 3
2 1 2
1 3 1
1 3 0
0 2 2
3 2 2
3 0 2
3 2 0
0 3 3
3 0 1
1 0 3
10 6
2 2 0
0 2 1
2 0 1
0 2 0
2 1 2
1 0 1
0 0 2
2 2 2
0 1 2
2 0 0
10 6
0 2 3
0 3 1
1 0 1
2 1 3
2 0 1
0 1 3
0 0 3
3 0 3
2 1 2
0 3 2
10 7
1 2 0
1 2 2
0 1 2
1 1 2
2 2 2
1 2 1
2 0 1
2 1 2
0 1 1
1 0 1
10 3
1 3 2
1 0 0
2 2 1
2 1 3
1 0 1
0 2 1
0 3 0
0 2 0
3 0 1
2 1 0
10 7
0 2 0
2 0 0
2 1 2
1 2 2
0 2 1
2 0 2
0 1 0
1 1 0
0 0 2
2 2 1
10 5
0 0 0
2 0 1
1 1 0
0 2 0
3 2 3
2 1 1
0 3 1
1 0 3
2 1 3
2 1 0
10 6
3 2 1
0 3 0
0 1 1
2 0 0
3 1 0
0 0 2
1 1 3
1 2 1
2 1 3
1 0 0
10 5
1 1 0
0 1 0
0 2 0
1 2 2
1 1 2
2 1 2
1 0 1
2 0 0
0 1 2
0 2 1
10 3
1 2 2
0 1 1
2 2 2
1 0 2
2 0 0
0 2 1
0 0 1
1 0 1
0 1 0
0 0 2
10 2
2 2 2
2 0 2
2 1 0
0 2 1
1 2 1
2 2 1
0 0 0
1 0 1
2 0 1
0 2 2
10 8
2 0 1
1 3 1
0 0 2
1 1 0
3 0 3
0 2 2
0 0 3
3 0 1
3 1 1
0 3 0
10 6
0 0 1
1 3 2
1 1 0
3 1 0
1 0 2
3 3 1
2 2 1
3 3 3
1 2 2
1 2 3
10 6
0 1 2
0 2 0
1 2 2
1 2 1
2 0 2
1 2 0
2 1 1
0 1 1
1 0 2
2 2 0
10 3
3 0 3
2 3 0
1 2 0
2 3 1
1 1 0
1 0 3
0 1 3
0 1 0
0 0 0
0 0 3
10 4
1 1 0
1 0 0
2 0 0
2 0 1
1 2 1
0 1 1
2 1 1
2 0 2
1 0 2
1 2 0
10 5
3 2 2
2 2 0
2 1 0
0 1 1
0 1 0
3 1 3
0 2 0
1 3 2
3 1 0
3 2 1
10 9
0 2 1
2 0 2
1 1 2
1 0 0
0 1 1
2 0 0
2 1 2
2 0 1
0 2 0
0 0 0
10 8
1 3 3
1 0 2
0 3 2
3 1 3
3 2 1
3 1 1
0 2 3
0 0 1
3 3 2
2 0 2
10 9
2 0 0
0 1 0
2 1 2
1 2 1
0 0 0
1 0 1
1 1 1
1 1 2
1 0 2
2 1 1
10 7
1 1 2
2 1 0
2 0 2
0 0 0
2 1 2
1 2 1
1 2 0
0 2 0
2 2 0
0 0 1
10 7
2 2 0
2 0 2
0 0 1
1 2 1
0 1 1
1 1 0
0 0 0
0 1 0
0 1 2
1 0 1
10 7
1 1 0
1 2 0
2 2 0
2 1 1
1 2 2
2 2 1
2 0 1
2 0 0
1 1 1
2 0 2
10 9
2 0 0
1 2 0
1 0 2
1 0 1
2 2 1
2 2 2
0 2 2
1 0 0
2 0 1
1 2 1
10 8
2 1 2
1 3 2
2 3 3
1 2 3
2 2 0
2 2 1
0 0 2
3 3 0
2 0 3
3 2 1
10 5
3 0 1
1 1 3
0 2 1
0 1 1
1 3 0
0 3 3
1 0 2
1 2 3
1 0 0
0 1 3
10 9
0 3 3
2 3 0
3 0 1
1 2 3
1 0 3
3 0 3
3 3 3
2 1 1
1 3 0
1 1 2
10 4
0 1 2
2 1 2
0 0 1
0 0 2
2 0 2
2 2 0
2 0 1
1 0 2
1 2 1
1 1 1
10 2
1 0 3
0 2 1
1 2 0
1 0 2
2 2 0
2 1 0
3 0 3
3 0 1
2 0 3
1 3 2
10 9
1 0 1
0 1 3
3 2 3
0 1 2
0 0 0
1 2 3
1 3 1
1 1 3
2 0 1
0 1 0
10 7
0 1 1
2 3 2
2 2 1
0 1 2
3 1 1
0 2 2
1 1 3
2 2 3
3 1 3
3 3 2
10 7
1 1 1
3 0 1
0 2 1
3 0 0
2 3 1
0 1 2
0 2 0
1 2 1
3 3 0
1 3 0
10 8
0 2 3
2 0 2
3 3 1
2 0 0
1 1 1
3 2 2
2 1 2
1 3 2
0 3 0
3 0 2
10 2
3 0 3
3 2 3
3 2 1
2 0 0
0 2 3
0 1 0
2 1 3
0 0 1
3 0 1
1 1 2
10 9
0 2 2
0 1 2
1 0 0
0 1 1
1 0 1
1 1 0
2 1 2
2 2 1
0 2 0
0 2 1
10 7
2 2 1
3 1 3
0 3 3
1 3 1
2 3 3
0 3 0
0 0 1
2 2 2
0 3 2
1 0 3
10 8
2 1 1
1 0 1
2 2 1
2 0 0
1 2 0
0 0 0
1 2 2
2 2 2
0 1 0
2 1 0
10 4
3 2 0
1 1 2
1 2 3
0 3 3
0 0 1
0 1 3
0 2 3
3 0 1
1 1 3
1 0 1
10 3
3 1 3
1 1 1
1 3 1
3 3 2
0 2 3
0 2 0
2 0 1
2 3 0
3 3 3
1 0 0
10 7
1 2 2
1 0 2
2 2 3
0 0 3
2 2 1
1 2 0
3 1 1
3 0 1
0 2 2
3 3 1
10 9
0 2 0
1 0 2
2 1 2
0 0 1
1 1 2
2 2 0
2 0 1
2 1 0
1 2 0
0 1 1
10 8
2 0 2
0 2 2
0 2 0
0 0 2
2 2 1
1 2 2
0 1 1
1 2 1
1 1 0
2 2 0
10 5
2 1 1
2 0 0
0 0 0
0 2 0
1 2 2
0 1 1
2 1 0
2 0 1
0 0 2
2 0 2
10 5
1 0 2
1 2 1
2 0 0
0 0 1
0 0 2
2 2 2
1 1 1
0 1 0
2 0 1
2 1 0
10 8
0 1 2
3 1 1
2 2 0
3 2 0
1 3 2
1 2 2
2 1 3
1 3 0
3 0 2
3 0 0
10 3
1 0 1
1 2 1
2 1 1
2 2 0
0 2 1
1 1 2
1 0 0
0 2 2
0 0 2
0 0 1
10 2
3 1 2
3 0 3
3 3 2
0 0 3
3 3 0
1 3 2
0 3 3
0 1 3
1 0 2
3 2 2
10 4
2 2 3
3 1 1
2 1 0
1 0 2
2 0 0
1 2 2
0 3 1
1 3 2
3 1 2
0 0 3
10 8
1 0 0
0 2 1
0 1 1
1 1 1
2 0 0
0 0 1
2 2 0
1 1 2
2 1 1
1 2 2
10 4
2 1 2
2 2 0
1 0 1
0 1 0
1 1 0
0 2 2
1 1 1
0 0 1
1 2 2
2 0 0
10 9
2 1 0
2 2 1
0 2 1
0 0 0
2 1 1
2 2 0
2 2 2
0 2 0
1 2 2
0 1 0
10 2
2 3 2
0 2 2
0 1 1
2 2 3
1 0 3
2 2 0
3 0 1
0 2 3
0 3 3
2 0 1
10 9
2 1 1
0 0 1
0 2 0
1 2 0
0 1 0
0 2 1
0 0 2
1 1 0
2 2 1
0 2 2
10 2
1 2 1
1 0 0
2 0 0
1 1 1
2 1 0
0 2 0
2 2 0
0 0 2
2 1 1
2 0 2
10 8
2 0 0
1 1 2
2 0 1
2 2 0
0 1 2
1 0 1
0 0 0
1 0 0
0 1 1
2 2 2
10 7
1 1 2
2 0 0
0 0 0
1 0 0
2 1 0
2 2 1
0 2 2
0 1 1
2 1 2
1 1 0
10 6
0 2 2
2 1 2
0 2 0
1 1 0
2 1 1
2 2 0
2 0 0
2 2 2
1 1 1
1 0 1
10 6
1 0 1
0 0 1
1 0 0
2 1 0
1 1 1
1 0 2
0 1 0
2 1 1
2 1 2
2 2 0
10 3
2 1 0
1 1 1
2 1 1
2 2 0
0 0 0
2 2 2
0 1 2
0 2 2
0 0 1
0 1 0
10 9
2 3 2
2 3 0
0 3 0
2 1 0
1 3 3
2 3 3
0 1 3
1 2 1
1 1 1
3 1 1
10 2
3 0 1
2 2 0
1 1 3
0 2 0
3 2 0
2 0 3
2 1 2
1 3 2
0 3 1
2 3 1
10 2
3 2 3
2 3 1
2 0 2
2 2 0
2 0 1
2 0 0
1 1 1
0 3 1
1 0 0
2 2 2
10 3
0 1 2
2 1 1
0 2 0
0 1 1
2 0 1
2 1 0
2 1 2
1 2 1
1 1 2
1 1 1
10 7
1 0 0
1 0 1
2 2 2
1 2 1
1 1 0
1 2 0
1 1 1
0 2 2
2 2 1
0 0 0
10 8
0 1 2
1 0 0
1 1 1
3 2 3
1 1 0
3 0 2
3 1 2
1 3 3
2 1 2
0 2 1
10 7
2 0 2
0 0 1
0 2 1
2 2 0
0 0 2
0 2 0
1 0 0
2 1 0
2 2 1
1 2 1
10 2
1 0 1
0 0 2
2 0 1
1 0 0
0 2 2
1 2 2
0 2 0
2 2 0
1 0 2
2 0 2
10 3
2 0 0
0 1 3
0 0 2
0 1 1
2 0 1
0 1 2
3 1 2
2 1 3
1 1 0
3 1 0
10 4
1 0 1
0 2 2
1 0 0
2 0 2
1 0 2
2 1 1
0 0 0
2 1 2
1 2 0
2 2 2
10 9
0 3 1
3 2 2
1 1 1
1 1 3
2 3 0
2 2 1
0 2 1
2 2 0
3 3 1
0 0 1
10 3
0 0 2
1 0 2
2 2 1
1 2 0
0 1 1
2 1 1
1 1 2
1 1 1
1 1 0
1 2 1
10 3
3 0 2
3 1 2
2 2 1
1 0 3
2 0 3
0 2 2
3 2 1
2 0 2
2 3 1
1 2 3
10 9
0 2 0
2 0 1
1 2 1
1 2 2
0 2 2
2 2 1
0 2 1
0 1 2
1 0 0
0 0 1
10 9
1 3 3
0 1 3
3 0 2
2 3 0
0 0 0
3 3 0
0 3 0
3 3 1
0 2 3
1 2 1
10 9
0 1 2
0 2 2
1 0 1
2 2 0
0 0 1
1 0 2
0 1 1
2 2 2
1 2 2
2 0 2
10 3
0 2 0
2 2 0
0 0 1
1 0 1
2 2 1
0 1 2
0 2 1
0 0 2
1 0 2
2 2 2
10 9
1 0 0
0 0 0
0 2 0
1 2 2
2 0 1
1 2 1
0 0 2
1 1 0
0 1 2
2 2 0
10 7
2 0 2
1 2 1
0 3 3
0 2 1
2 3 1
3 0 2
1 2 0
0 1 0
3 1 0
1 0 1
10 8
0 0 0
1 0 0
1 1 2
2 1 0
1 0 2
0 2 1
0 1 2
0 0 2
0 1 0
1 1 1
10 3
3 0 1
0 2 1
1 2 1
0 0 3
0 0 2
1 0 3
3 2 1
0 2 0
1 0 0
3 2 2
10 7
1 2 0
3 2 2
1 1 0
1 1 1
0 3 3
2 2 0
1 0 1
3 2 0
0 2 1
3 1 3
10 5
1 2 2
2 0 1
2 3 1
3 3 3
3 3 2
3 3 1
2 2 0
1 1 1
1 3 3
3 2 1
10 5
0 3 0
1 3 2
0 2 2
1 0 0
3 3 2
2 3 1
3 0 2
0 1 2
2 0 1
0 0 0
10 6
2 0 0
3 1 0
0 3 0
1 3 1
1 3 0
0 2 0
0 0 1
3 2 3
1 0 0
1 1 2
10 6
0 2 0
0 0 2
1 3 1
3 2 2
3 0 1
3 0 0
2 3 2
1 2 2
0 1 0
2 1 3
10 7
0 2 1
2 0 0
0 2 0
2 0 2
1 0 1
2 1 1
2 2 0
0 0 1
1 1 0
2 0 1
10 5
0 2 0
0 2 2
2 3 3
3 1 1
2 1 3
1 0 0
1 1 2
3 0 2
0 3 2
1 2 3
10 6
1 1 3
1 2 1
2 1 2
3 2 3
2 3 1
2 1 3
2 3 0
3 0 3
1 3 0
1 0 1
10 3
1 0 1
2 1 0
1 2 2
1 1 1
0 0 0
2 2 1
2 0 1
2 2 0
0 2 1
2 1 2
10 9
0 2 0
2 0 1
0 2 3
0 3 3
0 3 2
0 2 2
3 1 3
3 0 3
1 1 3
3 2 1
10 8
2 0 1
1 2 2
1 2 1
2 1 1
2 0 0
0 1 0
0 1 2
1 1 2
1 0 2
0 0 1
10 6
3 3 2
2 3 3
2 3 0
1 2 3
0 2 2
3 2 3
3 2 0
3 2 2
3 3 1
2 2 0
10 5
2 2 0
1 2 0
2 2 2
0 2 2
2 0 2
1 1 1
0 0 2
2 0 0
0 0 0
1 0 0
10 4
0 0 2
0 1 3
0 2 1
1 2 0
2 3 0
3 2 2
1 0 3
1 1 1
2 3 1
3 1 2
10 7
0 0 0
1 2 2
1 1 2
1 0 0
1 2 1
2 0 1
1 0 2
0 1 2
2 2 2
2 2 0
10 6
3 0 0
0 3 0
0 2 3
0 0 3
3 3 0
2 2 1
0 3 2
0 0 0
2 3 3
3 1 0
10 3
2 2 1
2 2 2
2 1 1
1 0 0
1 1 0
2 0 2
0 0 1
2 1 2
1 1 2
0 1 0
10 4
2 0 1
2 2 0
2 1 1
0 0 0
0 1 2
2 1 0
0 2 0
1 0 0
1 1 0
1 1 1
10 4
0 0 1
1 0 0
0 1 1
1 0 1
2 2 2
2 0 1
1 2 2
0 0 0
0 2 2
1 0 2
10 8
3 3 3
0 1 0
0 0 2
0 0 1
1 3 1
2 1 3
3 2 3
3 2 2
2 3 1
0 2 0
10 9
0 3 1
0 3 3
0 3 0
2 1 2
0 1 3
0 3 2
1 0 2
2 2 3
1 2 2
3 1 2
10 9
1 3 0
1 3 1
0 1 2
0 1 0
0 3 3
0 2 3
0 3 0
2 3 1
2 2 0
3 0 0
10 3
3 2 3
3 0 1
3 1 3
3 3 0
2 0 2
2 2 3
0 3 2
2 0 0
3 0 3
0 0 0
10 8
1 2 0
1 1 0
0 0 1
0 1 0
2 0 2
0 2 1
2 1 1
2 1 2
2 0 1
2 2 0
10 2
2 2 3
1 3 2
1 0 0
1 1 3
0 3 0
0 3 1
2 0 3
0 0 0
2 2 0
3 1 2
10 5
2 3 1
2 0 1
0 0 0
1 1 3
1 2 0
0 3 0
0 0 2
3 3 1
1 0 2
2 1 2
10 4
2 0 2
2 2 1
2 1 0
0 0 1
0 2 2
0 0 0
0 2 0
1 1 0
2 2 2
0 1 1
10 6
2 2 1
2 2 0
2 0 0
0 2 1
0 1 1
2 1 1
2 0 1
1 0 1
0 1 0
2 2 2
10 3
0 1 1
0 0 0
2 2 2
2 2 1
0 1 0
2 0 0
0 1 2
1 2 1
2 2 0
0 2 2
10 5
1 1 1
0 1 0
0 2 2
1 1 2
2 0 2
2 2 1
0 2 0
2 0 1
1 0 1
0 1 2
10 2
2 1 0
0 2 0
2 0 1
2 1 2
1 2 1
2 0 2
0 0 0
2 0 0
1 0 0
0 2 2
10 5
0 0 0
0 3 0
0 2 0
3 0 3
3 2 0
2 1 1
0 1 2
2 1 3
0 3 2
1 0 0
10 2
0 0 3
3 3 3
2 2 2
2 2 1
0 3 3
3 3 1
0 0 2
2 0 1
3 1 1
3 2 0
10 6
0 1 0
1 3 0
1 0 0
3 1 0
0 1 1
3 2 0
2 1 0
2 3 1
2 2 1
0 3 1
10 9
2 2 2
2 0 0
1 2 1
0 2 1
1 0 0
1 1 2
0 2 2
0 2 0
1 2 2
1 1 1
10 2
2 1 2
0 2 1
1 0 2
2 2 3
3 3 0
0 0 2
0 0 1
0 1 1
0 1 3
1 2 2
10 5
0 2 0
0 2 1
2 1 1
1 0 2
1 1 2
2 0 2
1 0 0
1 2 2
2 1 0
1 1 0
10 3
1 3 1
1 1 0
3 0 3
2 1 0
3 3 3
0 0 3
0 2 0
2 3 0
3 0 2
1 2 3
10 5
1 3 0
1 0 1
2 3 0
0 1 1
2 0 2
0 1 3
3 3 2
0 0 0
1 1 2
3 0 1
10 9
2 0 0
2 0 1
2 1 1
0 2 2
2 1 0
0 2 1
1 2 2
2 2 2
2 0 2
0 0 2
10 5
2 3 0
3 1 1
1 0 3
3 1 0
0 3 2
3 0 2
1 2 0
2 1 1
2 3 1
1 0 0
10 4
1 3 3
3 1 1
1 3 2
2 2 2
3 1 2
0 0 0
2 3 3
2 2 1
1 1 2
2 0 2
10 5
0 3 2
2 1 3
1 0 0
1 2 1
3 0 2
3 3 0
1 3 3
2 2 1
2 3 2
3 3 1
10 2
2 2 2
1 0 1
0 0 0
2 2 0
0 1 0
0 0 1
2 1 1
1 1 0
2 0 0
1 0 0
10 2
0 3 1
0 2 1
3 3 1
0 0 0
2 0 1
2 1 0
2 3 0
0 1 0
2 0 0
2 3 1
10 6
1 0 2
2 2 2
0 0 0
0 0 1
0 2 2
1 0 1
2 1 1
1 2 2
1 1 2
0 1 2
10 2
1 3 0
2 1 3
0 1 1
3 1 2
2 2 2
2 0 1
3 1 0
0 0 2
0 0 0
3 1 1
10 9
1 1 2
0 1 0
1 0 2
2 0 0
0 1 2
0 0 2
2 2 2
2 1 1
2 1 2
2 2 1
10 2
2 0 3
0 2 0
2 1 2
0 3 0
1 0 3
3 1 2
3 2 1
1 1 3
3 3 0
3 1 3
10 6
0 0 1
1 1 0
1 2 2
2 2 1
2 2 0
0 1 2
0 2 1
0 0 2
1 0 0
0 2 0
10 8
0 1 2
0 2 0
0 2 1
1 2 1
1 0 1
1 1 0
2 2 0
1 1 1
2 0 1
2 2 1
10 8
2 1 2
1 1 1
2 2 2
1 3 0
1 0 3
0 0 1
0 1 2
3 2 2
1 3 1
0 3 3
10 3
1 0 3
3 3 2
2 0 2
3 3 0
3 0 0
2 2 2
0 1 3
1 0 0
3 3 3
2 2 1
10 7
2 3 0
1 0 1
2 0 3
2 0 0
3 0 3
0 0 3
0 1 0
3 0 2
1 3 2
1 3 3
10 7
0 0 1
2 2 0
2 0 2
0 2 0
0 1 1
1 2 1
1 0 0
1 1 0
0 0 0
0 2 1
10 3
1 3 2
0 1 3
2 1 3
3 3 1
0 0 0
0 3 3
3 0 2
1 3 1
3 3 3
0 2 0
10 9
3 2 1
3 3 0
0 0 2
0 1 3
2 3 3
2 0 0
0 0 1
0 0 0
2 0 3
3 0 1
10 3
2 3 3
2 0 1
3 1 2
3 2 2
1 1 2
0 2 1
2 1 0
3 2 0
0 2 3
2 2 3
10 7
0 0 0
2 1 0
2 2 0
0 2 1
1 0 2
2 0 1
1 1 1
1 2 1
2 0 0
0 2 2
10 5
2 1 2
1 3 1
1 1 2
1 2 2
1 3 3
1 3 0
0 1 2
1 2 1
1 3 2
3 1 0
10 7
0 2 2
2 1 2
0 2 1
0 0 0
1 0 1
2 0 1
2 2 2
0 2 0
2 2 1
0 0 2
10 5
1 0 0
1 1 2
0 1 2
2 1 2
2 0 0
2 2 2
2 2 1
0 2 0
0 2 2
2 1 1
10 9
0 1 0
2 0 1
2 2 2
2 0 0
2 1 0
0 0 2
0 1 2
2 2 1
1 0 0
0 2 0
10 8
0 0 0
0 2 0
0 2 2
2 0 0
2 1 0
2 2 1
2 1 1
2 0 1
1 2 1
0 0 2
10 7
1 1 2
2 0 1
0 0 2
1 0 2
2 1 1
1 2 0
1 1 1
0 0 1
1 1 0
0 2 0
10 8
1 1 1
1 0 2
2 1 2
0 0 0
1 0 0
2 0 2
0 1 0
0 0 2
0 1 1
1 2 0
10 6
3 3 2
3 3 1
0 2 1
2 2 1
3 0 1
1 2 3
0 0 0
1 2 1
0 0 3
1 1 1
10 4
2 3 1
2 2 2
1 0 0
1 2 3
3 3 1
0 1 0
3 2 0
3 2 2
2 2 1
2 0 0
10 3
3 1 1
2 0 0
0 1 2
2 3 2
2 1 3
1 1 2
3 2 2
2 1 2
0 3 0
3 1 3
10 8
3 2 3
1 0 2
3 2 1
1 1 1
1 2 2
2 2 0
0 3 2
2 1 1
1 3 0
3 1 0
10 9
0 1 3
0 3 3
3 3 3
0 0 3
3 3 1
2 3 2
1 3 1
2 2 3
0 0 2
0 3 1
10 3
2 3 2
1 3 0
2 3 1
0 2 0
1 3 2
0 1 0
3 1 2
0 1 2
0 0 1
3 0 1
10 4
2 0 0
1 2 0
1 0 0
0 1 2
0 2 1
2 0 2
2 2 2
2 1 2
2 1 1
1 1 2
10 2
0 2 1
3 2 1
0 2 0
2 3 1
3 3 3
2 1 0
2 2 2
3 1 0
0 0 3
1 3 0
10 3
2 1 0
2 2 0
1 1 2
2 2 1
2 0 1
1 0 2
0 0 0
1 0 0
2 1 2
0 1 0
10 7
3 0 1
1 1 0
3 3 1
2 3 2
2 1 2
1 1 3
0 1 3
3 2 1
1 0 1
1 3 3
10 4
2 0 0
1 3 2
2 2 1
3 2 3
3 3 3
1 2 3
3 1 1
1 3 0
2 0 2
0 2 2
10 8
0 3 1
2 3 1
0 0 3
3 2 3
1 0 0
2 2 2
0 2 0
1 3 3
2 1 0
3 2 1
10 3
2 0 3
2 1 2
2 0 0
2 3 1
1 3 3
2 1 3
0 2 0
1 3 0
3 1 1
1 1 1
10 7
3 3 2
2 1 0
0 0 0
2 1 2
1 0 3
3 1 3
0 0 1
3 2 2
0 2 1
0 3 2
10 8
1 1 2
0 2 2
2 2 0
1 1 1
1 0 0
2 0 2
2 0 1
2 1 0
0 0 2
0 1 2
10 8
2 1 2
2 3 2
0 1 1
0 0 3
1 1 0
2 0 2
2 0 3
0 1 2
3 2 1
3 2 2
10 2
0 1 1
2 2 2
0 2 0
0 2 1
2 2 1
0 0 1
1 1 1
2 0 2
2 0 1
0 1 2
10 2
1 1 3
2 0 3
2 3 1
0 1 0
1 1 2
2 1 3
1 3 0
2 0 1
1 0 2
0 1 1
10 6
1 1 3
0 0 3
1 2 0
1 0 3
2 2 3
1 1 0
0 2 2
0 0 2
1 1 2
0 1 0
10 4
3 2 3
0 3 0
3 2 1
2 3 3
2 0 3
2 0 0
2 1 0
1 0 2
1 1 0
1 2 2
10 9
3 2 2
1 2 1
3 3 0
0 2 3
0 1 3
2 0 0
0 0 2
0 0 1
3 1 1
2 2 1
10 6
0 1 1
2 0 0
1 2 0
0 0 1
1 1 2
2 2 1
1 2 1
0 2 0
2 1 1
1 2 2
10 5
1 2 0
1 1 0
1 1 1
0 1 2
2 1 1
0 0 2
0 2 1
0 0 0
1 2 1
2 0 0
10 5
2 2 2
0 2 2
2 2 0
2 1 2
1 0 2
0 0 2
2 0 2
0 1 0
1 2 0
1 1 2
10 8
0 1 2
0 0 0
1 0 0
1 2 2
2 0 1
2 1 0
0 0 1
1 2 0
2 2 0
2 1 2
10 8
0 2 0
1 1 0
2 1 1
0 0 2
1 2 2
2 2 0
0 1 2
0 2 1
1 0 2
1 2 1
10 4
1 1 1
2 0 0
1 0 2
0 3 0
0 1 0
2 1 3
1 1 0
2 1 2
0 2 0
0 1 2
10 3
0 3 1
1 2 0
3 3 3
2 1 3
3 1 2
3 0 3
3 1 3
0 1 1
2 3 2
3 0 1
10 9
1 3 1
2 0 1
1 2 2
2 1 2
1 0 2
3 2 3
2 1 1
2 0 0
1 2 0
2 3 1
10 4
2 1 0
0 1 0
0 1 2
0 1 1
1 0 0
0 2 2
2 2 2
2 2 1
1 0 2
1 2 1
10 7
1 1 2
0 2 0
1 1 0
1 0 0
0 1 0
1 2 1
2 1 0
1 0 1
0 0 1
1 1 1
10 2
0 0 1
0 2 0
0 0 0
2 0 2
2 1 1
1 0 1
0 1 0
1 2 0
2 1 0
1 2 1
10 6
1 1 2
1 0 1
2 0 0
0 2 1
1 2 0
2 2 2
1 2 2
1 2 1
2 1 0
0 0 0
10 9
2 1 0
2 2 0
1 2 0
2 1 1
0 1 2
1 0 0
0 0 2
0 2 2
2 0 1
0 1 1
10 8
0 1 2
2 1 2
1 3 3
2 0 3
1 3 0
0 0 0
1 1 1
3 2 3
2 1 3
2 0 2
10 9
0 1 0
1 0 0
2 0 1
1 1 0
0 0 2
2 0 0
0 0 0
2 1 1
0 1 2
2 2 0
10 4
2 2 1
2 0 0
1 1 1
1 0 2
1 2 0
0 1 2
0 0 0
2 1 1
0 2 2
0 0 2
10 9
1 0 2
3 1 1
3 2 0
0 0 2
3 3 1
0 2 1
3 2 3
2 2 0
2 3 3
1 3 0
10 9
2 1 0
1 2 0
1 2 1
2 1 2
0 0 2
2 0 2
2 2 2
0 0 1
0 2 1
2 0 1
10 4
3 2 1
3 1 1
2 2 2
2 3 1
1 2 1
3 3 0
3 2 2
3 0 0
2 3 0
2 0 0
10 7
2 2 3
3 0 2
0 3 0
1 1 3
1 2 3
0 0 2
3 1 2
1 3 0
2 1 2
1 3 3
10 3
2 2 0
0 3 2
2 3 0
0 1 2
1 3 1
2 1 1
2 0 0
1 2 1
0 2 2
1 3 3
10 2
0 3 0
0 1 0
0 0 3
1 0 3
3 1 1
2 1 2
3 2 2
1 1 1
1 2 0
2 2 3
10 4
1 1 3
2 0 2
3 1 1
0 1 1
1 2 3
0 2 3
3 2 0
1 2 1
0 3 1
3 1 3
10 9
2 1 2
0 2 1
0 2 0
2 2 0
2 0 0
0 1 2
0 1 0
2 1 0
1 2 0
2 0 1
10 5
2 0 1
2 1 1
2 1 2
2 2 0
0 0 0
1 2 0
1 1 0
0 2 2
1 0 1
2 0 0
10 5
3 2 0
1 3 1
1 2 3
3 1 0
3 1 2
1 3 0
1 0 3
0 2 0
1 2 1
2 0 2
10 5
0 1 1
1 2 1
2 0 1
2 1 2
0 1 2
2 2 1
1 1 0
1 0 0
0 0 1
1 0 1
10 3
0 2 1
2 2 1
3 1 1
0 3 1
3 0 0
0 3 3
0 0 1
3 3 3
0 0 3
2 2 2
10 9
2 2 2
0 2 2
1 1 2
2 1 2
0 1 0
1 1 1
0 0 0
2 1 0
0 2 1
1 1 0
10 7
3 0 1
1 3 1
0 1 3
2 1 1
1 0 0
2 0 1
1 1 0
3 3 2
3 1 0
1 2 0
10 8
3 1 3
2 0 2
1 1 3
0 0 1
1 3 3
3 1 2
3 2 2
0 3 3
0 2 0
1 3 1
10 8
2 2 1
0 0 1
1 0 0
0 2 2
1 2 0
1 1 0
0 2 0
1 1 1
1 1 2
0 1 2
10 9
0 2 0
1 0 2
1 0 0
1 1 2
0 0 1
0 2 1
2 1 1
0 0 2
2 1 0
1 2 2
10 8
2 0 1
0 0 3
3 0 2
3 3 0
3 2 2
3 3 1
1 2 1
2 0 2
1 1 1
1 0 0
10 5
2 3 2
3 2 2
3 3 3
1 3 2
0 1 1
1 0 1
2 0 2
0 0 0
2 2 3
3 1 1
10 7
0 2 1
1 2 1
2 0 1
1 0 1
0 0 0
2 2 1
2 1 0
0 0 2
2 1 1
2 2 2
10 9
2 3 1
3 3 3
3 0 3
0 0 2
3 2 0
1 1 3
0 0 3
2 0 1
1 2 0
3 0 1
10 4
2 2 2
1 2 1
0 1 1
2 0 2
2 1 1
1 1 1
2 1 2
2 1 0
2 2 0
2 0 0
10 9
3 0 2
2 1 0
0 3 3
3 3 1
0 0 3
1 1 2
2 2 3
1 2 3
1 3 0
0 3 0
10 6
1 1 1
0 1 3
3 2 2
2 1 0
0 0 3
3 1 0
0 3 1
0 2 3
0 3 2
2 1 3
10 4
3 1 3
1 1 1
3 2 2
0 1 2
0 2 0
2 0 0
2 2 2
0 0 1
0 3 2
1 3 0
10 3
0 0 2
2 2 1
0 2 2
1 1 2
0 0 1
0 0 0
0 2 0
1 1 0
2 1 2
0 1 0
10 4
0 2 2
3 1 0
2 1 2
2 2 2
1 2 3
2 3 1
3 0 0
1 1 3
2 0 1
3 1 3
10 8
2 1 0
2 0 2
2 0 1
2 2 2
2 2 0
1 2 0
1 0 1
1 0 2
1 1 1
0 2 0
10 6
1 1 0
1 0 0
1 1 2
2 1 1
1 0 1
0 2 1
0 2 2
2 0 0
0 0 2
0 0 0
10 7
1 2 1
1 0 1
2 2 1
2 0 0
1 1 1
0 1 1
2 2 2
2 1 2
0 2 2
2 1 0
10 4
0 3 3
3 3 2
3 2 3
0 3 1
0 2 2
2 0 3
2 0 2
2 0 0
1 3 1
3 3 1
10 4
3 0 3
3 0 2
3 3 0
1 1 0
2 0 1
2 2 0
3 0 0
3 2 1
0 3 0
0 0 2
10 7
3 2 0
2 1 3
3 2 2
3 0 3
1 0 0
2 3 2
3 3 0
1 0 1
2 3 1
0 1 2
10 9
2 2 2
3 1 2
0 1 2
3 3 3
3 1 0
2 0 2
0 3 2
3 3 0
3 2 0
2 3 0
10 4
1 2 0
2 2 0
2 0 0
2 2 2
2 2 1
1 2 2
0 1 2
1 1 0
1 0 2
0 1 1
10 8
1 0 1
2 2 0
0 3 1
2 3 3
2 3 1
1 1 1
0 2 3
1 3 3
2 1 1
0 1 0
10 7
2 3 2
2 3 1
3 1 1
3 1 2
0 3 0
2 2 1
3 1 3
3 1 0
3 0 2
2 0 0
10 4
2 2 2
2 1 1
1 1 1
2 0 0
2 0 2
2 1 2
2 1 0
0 0 2
2 2 0
0 1 0
10 4
0 1 0
3 2 2
2 0 0
2 3 2
1 2 2
3 0 1
1 0 1
1 0 2
2 0 2
3 3 1
10 4
1 1 0
1 3 2
0 2 0
3 2 0
0 0 2
0 2 2
1 1 2
2 1 3
0 2 3
0 0 0
10 2
1 0 0
0 2 1
2 2 2
2 0 1
1 2 0
0 1 2
2 1 0
2 1 2
1 1 2
0 0 1
10 8
2 1 0
1 1 1
2 0 2
2 2 1
0 2 0
2 1 2
0 1 2
1 2 2
1 2 1
2 0 0
10 6
0 1 0
3 0 0
1 2 3
2 3 0
0 2 2
2 2 2
0 2 1
2 3 3
0 1 1
2 1 3
10 6
2 1 0
2 0 0
0 2 2
1 2 0
1 2 1
0 1 1
2 0 2
0 1 2
0 2 0
1 1 2
10 3
3 3 1
0 3 0
1 0 0
3 0 2
1 0 3
2 3 2
2 3 0
1 0 1
2 2 0
2 2 3
10 8
1 3 1
0 0 0
0 1 3
2 2 1
1 1 0
3 3 2
0 2 2
2 1 0
2 2 3
2 0 0
10 7
3 1 0
0 0 0
1 2 0
0 2 2
3 1 1
2 1 3
3 0 2
1 2 3
3 1 3
3 2 1
10 8
0 3 3
2 1 1
0 2 3
1 2 3
2 1 0
1 1 1
2 0 3
3 0 0
3 1 2
1 3 1
10 5
1 1 1
1 0 1
2 1 0
1 0 0
1 2 1
0 1 1
2 0 1
2 2 2
2 1 1
0 1 2
10 3
0 2 0
0 1 1
1 1 1
2 2 1
0 2 2
1 0 1
1 1 2
0 2 1
0 0 1
1 1 0
10 3
0 1 0
1 0 0
1 1 2
0 3 0
2 1 2
1 1 1
0 2 0
2 3 3
3 3 3
0 2 3
10 4
1 1 2
0 0 1
2 0 2
2 0 0
1 0 1
0 2 2
0 0 0
0 1 0
0 1 1
2 2 1
10 8
2 0 2
1 1 1
0 1 0
0 2 2
2 1 2
2 1 0
2 2 1
0 1 1
0 1 2
1 2 1
10 2
1 3 0
2 0 1
3 3 0
3 1 0
0 1 0
2 1 0
3 1 1
0 1 2
0 2 2
2 2 1
10 5
0 0 2
1 2 2
0 1 2
1 0 2
1 0 1
1 1 1
1 1 2
0 2 1
0 2 2
1 2 1
10 2
0 0 2
1 2 0
2 1 0
0 1 0
0 0 0
2 2 0
1 1 0
0 2 2
0 1 2
0 2 0
10 2
0 0 0
1 2 1
0 1 0
0 0 2
1 1 2
0 2 0
1 0 0
0 0 1
2 1 0
0 1 1
10 4
3 3 0
0 1 2
3 1 2
3 0 0
1 3 0
0 0 0
0 3 2
3 3 3
1 2 0
0 0 1
10 2
1 1 1
3 0 2
2 0 3
2 1 2
3 0 1
3 3 1
0 3 1
0 0 2
0 3 3
1 3 3
10 7
0 1 0
2 2 2
3 3 2
1 1 0
2 1 0
0 2 3
0 3 0
1 2 0
2 1 2
3 0 3
10 8
2 0 2
2 2 1
2 2 0
1 1 0
0 2 2
2 1 2
1 2 2
0 0 1
0 1 0
1 1 2
10 4
1 3 1
0 3 1
0 0 1
3 3 1
1 2 2
0 1 2
3 0 3
1 3 3
1 2 1
3 1 0
10 7
1 0 1
2 1 0
2 1 1
2 0 1
0 1 2
0 0 2
0 0 1
1 1 0
0 1 0
2 2 2
10 6
3 2 2
0 2 0
1 3 3
1 3 2
1 0 2
1 2 1
2 1 2
0 3 1
2 2 0
3 0 0
10 4
2 0 3
0 2 3
3 2 0
1 0 3
1 2 0
0 2 1
3 1 2
2 1 2
3 2 3
2 1 0
10 8
3 0 2
0 3 3
1 0 0
0 1 2
0 2 2
1 2 3
1 2 1
2 2 0
2 2 3
0 0 3
10 4
0 0 1
2 1 0
2 1 1
1 0 1
2 0 1
1 1 2
1 2 1
1 1 0
1 0 0
2 1 2
10 6
0 1 0
2 3 2
3 2 0
1 2 3
1 1 2
2 1 3
0 0 3
3 1 3
2 0 1
2 3 0
10 4
2 0 2
0 1 1
1 0 2
2 1 0
2 0 1
2 1 1
0 0 0
0 2 1
2 1 2
2 0 0
10 6
1 0 2
0 0 2
0 1 0
0 1 1
0 0 0
0 0 1
1 2 0
2 2 0
2 0 1
2 2 2
10 3
2 1 0
2 0 2
1 1 0
1 3 0
3 0 1
0 1 2
2 2 1
2 1 3
2 2 3
1 0 3
10 9
2 3 2
2 0 0
3 3 0
0 2 0
2 2 3
2 2 0
3 0 1
0 1 2
0 1 0
0 3 0
10 8
1 2 2
2 0 1
1 3 1
0 3 0
0 2 0
3 1 0
2 2 0
1 1 1
0 3 2
0 0 0
10 8
1 3 0
2 2 0
0 3 3
1 1 2
3 2 1
3 0 1
2 2 2
0 1 3
3 3 0
2 1 3
10 8
0 1 1
1 2 1
0 3 3
2 2 2
2 0 2
0 3 2
2 2 1
2 1 3
1 0 1
2 0 0
10 5
1 0 2
0 2 0
2 2 3
2 0 1
1 0 3
2 1 3
3 0 1
1 1 0
0 1 2
3 2 0
10 7
0 3 0
2 2 2
0 0 0
0 3 2
0 0 2
3 1 2
3 2 1
2 1 2
1 2 2
2 0 1
10 2
0 3 2
2 0 3
0 3 1
2 1 2
0 0 3
1 3 1
0 1 2
0 2 0
3 3 3
2 0 2
10 9
0 3 3
2 3 1
2 0 0
1 1 2
3 3 3
3 0 2
2 2 0
3 0 1
2 3 3
1 1 1
10 4
2 2 0
0 1 1
1 0 0
2 1 2
0 1 2
1 1 0
0 0 1
2 0 2
2 0 1
1 1 2
10 3
1 0 1
3 3 0
2 3 1
1 1 0
2 0 0
3 2 1
2 0 3
1 0 2
0 3 0
1 3 3
10 5
0 1 0
1 1 0
1 0 2
2 2 2
0 1 2
2 1 1
0 2 2
2 1 0
0 2 1
0 1 1
10 2
3 0 0
1 3 0
2 1 1
2 2 0
3 2 2
0 2 3
3 3 1
3 0 3
0 3 3
0 0 1
10 9
1 1 0
1 0 0
1 2 2
2 2 3
1 1 2
1 2 1
1 1 3
3 1 3
2 1 2
2 1 0
10 9
2 2 0
1 0 2
1 0 0
0 1 2
1 0 1
0 2 3
0 0 3
1 1 1
1 1 0
3 1 0
10 4
0 0 1
2 2 2
2 0 2
2 2 3
3 1 3
2 2 0
2 0 0
1 0 3
0 2 2
0 3 0
10 8
1 0 1
0 1 1
2 1 1
0 0 0
1 0 0
0 2 0
0 1 2
1 3 0
1 0 2
0 3 1
10 7
3 3 0
0 1 3
0 0 0
2 1 2
0 3 0
0 0 2
3 3 2
3 0 3
2 2 3
2 0 2
10 3
0 0 0
0 2 3
3 0 2
0 3 0
0 1 2
0 2 2
3 0 1
1 2 1
1 0 1
0 0 3
10 2
0 1 1
1 2 2
2 0 2
1 0 0
1 1 0
2 0 1
2 1 0
0 2 0
1 0 1
2 2 0
10 9
0 3 1
2 2 1
1 0 3
2 3 1
0 1 0
2 0 1
2 1 1
1 3 0
1 3 3
3 1 3
10 8
2 2 3
0 3 0
0 0 3
2 3 2
1 1 3
1 0 1
3 2 1
0 2 2
1 0 3
2 1 0
10 9
2 3 3
2 3 2
1 2 2
0 3 1
3 2 0
3 1 2
0 2 1
0 3 3
0 1 0
2 0 0
10 8
0 2 1
2 2 0
2 0 0
2 0 2
0 1 0
1 0 2
0 2 2
1 0 1
2 2 1
1 1 0
10 6
2 2 2
0 2 1
1 2 2
1 0 0
2 1 1
0 2 0
0 0 0
2 0 1
0 1 2
1 1 2
10 6
1 2 2
2 2 1
2 0 1
2 0 2
1 0 2
0 0 2
2 1 2
0 1 2
2 0 0
0 1 0
10 8
2 0 1
1 1 1
1 1 0
2 0 2
3 2 1
3 1 3
2 1 0
0 3 0
1 2 3
0 1 3
10 8
1 3 0
1 2 0
1 0 1
3 0 0
1 3 2
1 0 0
2 2 1
0 0 1
2 2 0
0 1 1
10 9
0 2 0
2 3 0
1 3 0
2 3 2
3 1 3
0 1 0
3 2 0
3 2 2
1 2 0
3 2 1
10 7
3 3 0
2 2 2
1 0 2
2 0 3
2 1 0
3 0 2
2 1 3
0 1 0
1 2 1
0 3 3
10 2
1 0 2
0 1 2
3 0 3
3 2 0
0 2 3
1 0 3
0 2 2
2 3 2
3 0 0
1 1 3
10 6
1 2 0
0 2 0
2 2 2
2 2 0
1 1 0
2 0 2
1 0 2
0 0 0
1 2 2
2 0 0
10 7
0 0 0
0 2 0
0 1 2
0 0 2
2 0 1
1 1 1
0 2 2
0 1 1
1 0 1
1 1 2
10 4
3 0 0
0 0 1
0 3 1
2 1 3
3 3 0
0 3 2
1 1 2
0 1 0
1 1 1
2 3 2
10 3
1 0 3
0 0 0
3 0 1
0 1 2
1 3 1
0 0 2
3 1 2
1 3 0
0 2 1
0 2 0
10 3
0 1 2
2 0 1
2 0 0
2 0 2
1 0 0
0 2 0
1 2 0
2 2 2
0 0 2
2 2 1
10 4
0 1 1
0 1 0
1 1 0
1 2 1
2 1 0
0 0 0
2 1 1
0 2 0
1 0 1
0 2 1
10 4
2 3 1
0 0 1
3 3 2
0 1 0
0 1 3
3 1 1
3 1 0
1 0 2
1 3 3
2 0 1
10 5
2 2 2
2 0 0
1 1 3
3 3 0
2 2 3
0 1 3
0 1 1
3 1 3
2 0 2
0 2 3
10 5
3 0 3
2 0 2
3 1 2
0 1 0
3 2 1
1 0 3
1 3 3
0 3 0
3 1 1
3 1 3
10 6
0 2 2
0 0 3
1 1 2
2 0 2
3 2 3
2 1 1
3 1 0
0 1 1
2 3 0
0 0 1
10 7
0 1 2
2 0 0
2 2 0
1 2 0
0 1 0
2 2 2
2 1 2
0 0 1
0 0 2
0 1 1
10 3
1 0 2
2 3 0
3 0 1
3 1 1
0 2 0
0 0 1
1 3 3
2 1 1
0 3 3
3 2 1
10 7
2 2 2
2 0 1
1 0 2
0 1 2
1 2 1
2 1 2
1 1 2
0 0 2
0 1 1
1 1 0
10 9
2 2 0
2 2 1
0 2 1
1 1 0
0 1 2
0 0 0
0 0 1
1 2 2
1 1 1
0 2 2
10 4
3 3 3
2 0 0
3 2 2
2 0 1
0 3 3
0 3 1
0 2 2
2 3 1
0 3 0
0 1 0
10 3
1 2 3
0 2 1
0 1 1
0 0 3
2 1 3
1 0 2
1 1 2
3 0 1
0 2 0
3 0 0
10 2
3 2 1
2 3 3
1 3 1
2 3 2
0 2 0
3 0 3
1 0 3
3 1 1
0 3 0
2 1 3
10 6
2 1 2
2 3 2
2 1 1
2 2 0
0 1 1
3 3 3
0 3 1
2 0 0
1 0 1
3 1 2
10 8
2 3 1
1 0 3
2 1 0
1 1 1
2 1 1
3 0 2
1 1 0
1 0 2
2 3 3
3 2 2
10 8
2 0 1
1 2 1
1 2 2
0 2 2
0 2 1
2 2 1
0 0 1
2 1 0
0 1 0
2 2 2
10 8
2 2 1
2 0 1
1 0 1
0 2 0
2 2 2
0 1 0
0 1 1
1 0 0
1 1 2
2 1 1
10 4
0 1 2
0 0 2
0 2 1
0 1 1
2 2 0
0 1 0
2 0 2
1 2 1
1 0 0
0 0 1
10 5
1 1 1
3 0 2
3 3 3
3 2 0
3 2 2
2 2 1
2 2 2
1 3 0
2 3 1
2 1 3
10 8
1 0 3
3 2 3
1 2 0
2 3 0
1 1 1
0 2 3
3 3 1
2 1 0
1 0 2
2 0 1
10 5
0 2 0
2 0 1
1 2 1
0 1 0
1 0 2
2 1 1
1 2 2
2 2 0
1 0 0
2 0 0
10 7
0 2 1
0 2 3
1 3 1
3 3 0
3 2 0
1 0 3
1 2 1
3 2 3
3 2 1
1 1 2
10 4
3 0 1
3 3 2
1 0 3
0 1 2
2 3 0
1 2 1
3 3 1
0 3 3
2 3 3
2 1 0
10 6
0 2 0
0 0 1
1 1 2
1 2 2
1 0 1
0 0 0
2 1 1
0 0 2
1 0 2
2 0 1
10 6
0 1 1
2 0 2
0 0 0
1 0 2
2 1 2
1 2 1
2 2 1
1 1 2
2 0 0
1 2 2
10 8
2 1 1
0 2 2
0 0 2
2 1 2
1 2 0
0 0 1
1 1 1
0 2 1
0 1 1
1 2 1
10 9
1 1 0
0 2 1
0 1 0
0 2 2
0 1 2
2 2 2
1 2 0
2 0 0
2 1 2
1 2 1
10 2
3 1 0
0 0 3
2 1 3
3 0 2
0 3 0
1 2 1
2 2 3
2 2 1
2 3 0
0 1 1
10 3
0 3 1
3 0 2
0 1 2
1 3 1
3 1 2
0 0 3
0 1 1
0 0 0
3 3 3
0 3 0
10 9
1 0 3
1 3 3
0 2 1
0 0 3
3 1 0
3 1 2
2 2 2
1 3 2
3 0 1
0 1 2
10 3
0 1 1
2 0 1
0 0 0
2 2 1
0 2 0
1 2 1
1 0 2
2 1 1
1 0 0
2 0 0
10 7
2 1 1
2 1 0
0 2 2
0 2 0
0 0 1
2 2 1
2 0 2
2 1 2
0 2 1
2 2 2
10 6
1 2 2
0 0 1
2 2 0
2 1 2
2 3 1
0 2 0
2 3 0
2 1 3
3 0 3
1 3 1
10 2
1 1 2
2 2 2
2 2 1
0 2 1
1 0 1
1 0 0
2 0 2
2 2 0
0 2 2
1 0 2
10 5
0 1 0
0 1 2
1 2 1
2 2 0
2 0 0
2 0 1
0 1 1
0 2 2
1 1 1
1 0 1
10 9
0 1 1
0 2 1
2 0 0
0 2 0
2 1 0
1 1 1
0 0 1
2 2 2
1 1 2
2 1 1
10 3
2 2 3
2 2 1
2 1 1
3 3 2
3 3 0
2 1 2
0 0 2
1 0 0
0 3 1
2 3 2
10 7
1 1 2
0 2 1
0 2 0
0 2 2
2 0 0
1 1 1
1 1 0
1 0 0
0 1 2
1 0 1
10 6
0 1 3
1 1 3
3 2 2
1 2 2
3 1 2
0 3 0
2 2 3
3 2 0
2 0 1
1 1 1
10 2
2 3 3
0 3 0
0 3 2
0 1 1
1 1 2
3 3 1
3 0 0
0 1 0
3 2 2
1 0 3
10 6
2 0 1
1 0 2
2 2 0
0 0 0
0 1 1
1 1 0
1 2 0
2 0 0
2 2 2
0 1 0
10 6
2 2 0
0 0 0
2 0 1
3 2 2
0 3 2
0 1 3
2 2 2
2 0 3
0 2 3
3 0 0
10 9
2 2 1
2 2 2
0 1 0
0 1 1
0 2 1
1 2 1
1 0 0
1 1 0
2 2 0
1 2 2
10 9
2 0 3
2 3 0
2 3 1
0 2 0
2 1 0
0 1 1
3 0 2
2 0 2
1 1 3
2 1 2
10 2
3 2 1
2 1 2
2 2 2
0 3 0
1 3 2
0 0 3
1 1 3
1 0 1
0 2 0
0 0 1
10 5
1 0 0
2 1 2
1 2 2
2 0 1
2 0 0
1 0 1
0 2 0
2 2 1
2 1 0
1 0 2
10 2
1 0 1
0 0 0
2 1 0
1 0 2
0 1 0
2 0 0
1 1 1
0 1 1
1 1 0
0 2 1
10 8
0 1 0
3 2 3
0 2 0
3 1 3
2 2 3
1 0 0
2 3 3
3 1 0
3 3 3
3 0 1
10 4
1 1 3
1 0 1
1 3 3
2 2 1
2 0 2
2 0 0
1 0 0
0 3 0
2 1 3
0 2 1
10 5
1 2 1
0 0 2
1 0 0
2 0 0
0 2 0
0 0 0
0 3 2
1 1 1
0 2 2
0 2 3
10 4
0 3 2
1 1 1
2 2 1
1 2 2
2 1 0
2 3 1
2 0 2
3 2 3
0 3 0
0 1 0
10 5
1 0 2
2 1 1
0 2 0
1 1 1
2 0 0
1 2 0
0 1 0
2 2 1
2 1 0
2 1 2
10 6
0 1 0
0 0 2
2 0 0
0 2 0
2 0 1
2 1 2
0 0 1
1 1 2
2 2 2
0 2 1
10 8
1 0 1
0 3 3
3 0 2
1 2 2
2 3 3
2 1 3
1 3 1
3 2 1
0 0 2
0 1 3
10 7
2 2 1
2 1 1
3 1 1
3 0 1
0 1 0
0 3 2
2 0 2
2 0 3
3 2 0
0 1 3
10 6
3 0 1
1 3 3
3 3 0
3 3 1
2 3 3
2 0 2
0 3 2
1 1 3
0 1 1
3 2 0
10 5
2 2 1
0 0 2
1 1 1
2 2 0
2 1 1
0 2 2
2 0 1
0 1 1
1 0 0
1 0 2
10 4
2 2 1
1 1 2
1 2 1
1 1 1
1 2 0
1 2 2
2 1 1
0 1 0
0 2 0
1 0 2
10 5
1 0 0
2 0 2
2 2 0
0 2 0
0 1 0
0 1 2
2 1 2
0 2 2
2 0 1
2 1 1
10 6
0 2 1
0 1 0
1 0 1
0 0 2
2 2 0
1 2 0
2 0 2
0 2 0
1 0 2
2 1 0
10 5
2 3 0
3 2 3
1 3 0
0 2 1
3 0 1
3 3 3
1 2 1
0 0 3
3 1 3
1 1 3
10 8
0 3 1
3 2 3
1 0 0
1 0 3
1 2 2
3 2 0
0 0 3
1 2 3
2 3 1
0 0 1
10 5
3 0 1
1 0 1
0 1 2
1 3 3
3 1 3
2 1 3
0 0 1
3 2 1
2 1 2
0 2 2
10 9
0 1 3
1 3 0
3 2 3
0 2 1
2 2 2
2 0 3
2 1 1
0 0 2
3 0 0
3 3 2
10 9
0 2 2
0 3 1
0 0 2
3 2 3
2 3 0
2 0 1
2 0 2
1 0 0
3 1 0
1 1 3
10 9
3 1 0
0 0 1
1 1 1
2 2 2
1 0 1
3 2 1
0 3 2
3 3 1
2 0 0
2 3 3
10 3
0 1 2
3 2 3
0 1 1
1 3 3
1 1 0
0 2 2
3 0 0
2 1 3
0 0 3
3 0 2
10 9
0 1 0
0 3 2
2 2 1
3 1 1
1 2 0
3 3 3
0 3 1
1 2 1
0 3 3
3 1 3
10 9
0 3 2
3 2 3
0 3 1
1 1 3
2 1 3
3 0 0
2 0 3
2 1 1
0 0 3
1 1 2
10 2
1 0 2
0 2 1
0 0 1
2 2 2
1 0 0
2 0 1
0 1 1
0 0 2
2 1 0
2 1 1
10 9
2 0 0
2 1 0
1 1 1
2 0 2
1 0 1
1 0 2
0 2 1
3 3 3
3 3 1
0 3 2
10 8
0 1 2
2 3 3
3 1 2
3 2 2
2 0 3
2 1 0
2 3 0
1 2 2
3 3 3
2 2 1
10 6
1 1 2
2 0 1
0 2 1
2 1 1
1 2 2
2 1 0
1 1 1
2 2 2
0 0 1
2 2 0
10 9
2 1 2
0 0 2
1 0 1
2 1 1
2 2 0
2 2 2
0 0 1
0 2 1
0 0 0
2 0 0
10 7
1 0 1
1 2 2
0 0 2
2 0 1
2 0 2
2 2 1
0 2 1
0 2 2
0 1 0
0 1 2
10 5
2 2 2
1 1 1
2 0 0
0 1 1
2 0 1
1 0 1
2 0 2
2 2 1
0 2 1
1 1 0
10 5
2 2 3
2 0 2
0 0 3
3 3 2
3 1 2
3 1 0
3 3 0
0 2 0
2 1 3
1 1 1
10 7
0 0 3
0 2 3
1 2 0
2 3 2
3 3 3
2 1 1
0 1 0
2 3 3
0 2 0
3 3 1
10 4
0 2 2
0 2 1
2 1 0
0 2 0
2 0 0
2 1 1
2 2 2
0 1 1
1 0 0
0 1 0
10 7
2 1 1
1 0 0
1 1 1
1 2 2
0 0 0
2 0 2
0 1 2
0 2 2
1 0 2
2 2 0
10 3
1 0 2
2 2 1
2 2 2
2 1 2
1 0 1
0 0 2
1 2 1
1 2 2
0 2 1
1 1 0
10 2
3 0 3
1 0 1
3 0 1
0 1 3
1 0 3
0 3 0
0 2 3
1 1 2
3 3 1
0 3 1
10 3
3 3 3
3 0 3
1 3 3
0 1 1
0 1 2
0 3 3
3 1 1
2 2 1
3 3 0
2 2 0
10 3
2 1 2
1 1 2
0 1 0
0 2 0
1 2 0
1 2 2
2 2 2
1 0 2
1 0 1
2 1 0
10 6
1 2 2
2 1 3
0 2 0
2 1 2
2 3 1
0 3 3
3 1 0
3 0 3
3 3 1
0 0 2
10 8
1 2 2
0 1 0
2 2 2
0 2 0
2 0 1
0 0 0
1 2 0
2 1 1
1 2 1
0 2 1
10 3
0 1 1
1 0 1
2 1 0
2 1 2
0 2 2
2 1 1
2 2 1
0 1 0
1 1 2
0 0 0
10 2
0 1 2
2 1 2
2 1 0
1 2 2
2 2 2
1 1 1
2 0 2
0 0 1
0 2 1
0 1 0
10 8
0 3 1
3 0 0
0 3 3
1 1 2
3 0 2
0 1 0
0 2 0
3 0 1
1 0 2
3 1 1
10 8
1 2 0
0 2 1
2 1 1
1 1 0
0 1 2
1 0 1
2 2 2
2 2 0
0 2 0
1 0 2
10 7
1 1 0
2 0 1
0 1 2
3 1 0
0 3 1
2 0 0
1 3 1
3 1 2
2 3 1
1 3 2
10 4
3 2 3
3 0 1
1 0 3
2 3 1
2 2 3
0 1 1
3 0 2
2 3 0
3 3 1
2 2 0
10 8
1 1 2
2 0 0
2 2 2
2 2 0
2 1 1
1 1 0
2 0 1
1 2 2
0 2 2
1 2 0
10 8
3 0 2
3 0 0
1 3 0
1 2 2
3 0 1
2 2 3
1 0 2
2 1 1
0 3 3
1 3 2
10 7
0 2 0
0 2 2
1 0 0
2 0 2
0 0 2
1 0 2
1 1 0
1 0 1
1 1 2
0 1 2
10 7
1 0 1
3 1 3
0 1 2
2 0 1
3 2 3
0 3 3
1 3 3
3 1 1
2 0 0
1 0 0
10 3
2 3 3
1 3 2
2 0 3
0 1 2
0 2 3
1 0 0
0 0 3
2 2 3
1 1 3
2 2 2
10 4
0 1 2
0 1 1
0 0 1
0 0 2
1 2 2
0 1 0
1 0 1
0 0 0
0 2 0
0 2 2
10 6
0 2 0
2 2 2
0 1 0
1 0 1
2 0 2
1 0 2
1 1 2
2 1 1
0 0 0
1 2 0
10 2
1 3 2
2 2 0
2 1 0
3 1 3
3 0 2
0 2 2
0 1 3
2 1 3
3 3 1
3 2 3
10 7
2 2 1
0 1 1
1 1 1
2 0 1
2 1 2
0 2 1
1 2 2
2 0 2
0 0 1
0 2 0
10 7
2 1 0
3 1 1
0 1 2
1 1 3
1 0 0
2 3 1
2 2 1
1 3 3
1 0 1
0 0 2
10 6
1 2 1
2 0 1
2 1 2
0 1 0
0 0 2
0 0 0
0 2 2
2 2 2
0 1 1
1 1 1
10 3
0 1 2
2 1 2
2 3 3
1 2 0
0 3 0
0 0 2
3 0 1
2 3 2
1 1 0
1 3 1
10 5
0 1 0
0 1 1
1 0 0
2 1 1
2 2 1
0 0 1
2 1 2
0 1 2
1 0 2
1 1 1
10 3
0 1 0
0 0 0
2 1 2
0 2 0
2 1 1
2 2 1
2 0 1
1 2 1
1 1 0
1 1 1
10 8
3 2 2
2 0 3
1 2 0
3 1 2
3 2 3
3 0 0
1 3 0
2 2 0
3 2 0
1 0 2
10 5
2 1 2
1 2 2
2 0 0
2 2 0
0 1 0
1 0 2
0 0 0
1 0 1
0 2 1
1 1 1
10 4
0 1 0
0 0 1
2 2 2
1 2 0
1 0 1
2 1 1
1 1 0
0 2 1
1 0 0
2 0 2
10 9
3 1 2
3 0 2
0 3 3
0 1 1
1 0 2
2 0 1
0 1 2
2 1 1
2 1 0
0 0 3
10 4
0 3 2
2 3 3
1 3 1
3 2 1
3 0 2
0 2 0
1 1 3
2 3 0
1 2 1
1 2 0
10 6
2 2 1
3 1 3
1 3 0
1 2 0
2 0 3
0 0 0
0 3 2
2 2 3
1 2 1
1 0 2
10 2
0 1 0
1 1 0
3 0 0
3 0 1
1 1 3
1 0 0
3 2 0
2 2 0
1 0 1
1 1 1
10 3
1 3 2
1 3 3
0 3 3
2 0 0
1 1 0
1 1 3
2 1 3
0 1 0
3 2 0
1 3 0
10 5
0 2 1
0 1 2
2 0 1
2 1 1
0 1 0
2 0 0
2 2 1
1 0 1
2 1 0
1 0 2
10 4
0 1 0
1 0 0
0 0 0
0 0 2
1 3 2
0 1 2
2 3 0
2 0 0
3 1 2
1 2 2
10 5
2 2 1
1 0 1
0 0 1
2 0 1
1 1 2
1 1 0
0 0 0
1 1 1
2 2 2
1 2 2
10 9
3 2 3
0 1 2
1 3 3
2 1 1
0 0 2
0 2 2
3 3 1
0 1 3
1 0 3
1 0 0
10 3
2 1 2
1 1 0
2 2 0
2 0 1
1 1 2
1 2 2
0 2 0
0 1 0
0 2 2
2 1 1
10 4
1 1 2
2 1 2
2 2 2
2 1 1
2 0 2
2 1 0
1 2 2
2 0 0
0 1 2
0 1 0
10 7
1 1 0
3 0 1
1 2 2
2 2 2
3 2 2
1 1 2
3 0 3
2 0 0
1 2 3
2 1 1
10 4
2 0 0
2 2 1
3 2 1
1 2 1
3 3 0
3 2 0
0 0 1
0 0 3
3 3 3
0 1 0
10 8
1 0 0
2 1 2
2 2 2
1 1 0
2 1 0
2 2 1
1 1 1
2 0 0
0 0 0
1 0 2
10 8
3 3 2
3 3 1
2 1 1
3 2 0
0 0 2
3 1 0
3 1 1
1 0 1
3 2 1
0 1 3
10 9
1 1 0
2 2 2
0 2 1
1 0 0
2 2 1
2 1 0
2 0 2
0 2 2
2 1 2
1 2 2
10 3
1 1 0
1 0 1
2 0 3
2 2 3
3 1 1
2 1 3
0 1 0
2 1 2
3 0 1
1 2 2
10 3
1 1 2
1 2 2
2 3 3
3 2 1
1 2 0
2 3 0
0 1 3
3 1 2
3 3 1
3 2 2
10 6
2 0 0
1 2 0
3 0 1
0 0 1
3 1 0
3 2 2
2 3 0
0 2 1
1 1 1
3 1 1
10 8
2 0 2
0 2 1
1 0 2
1 2 1
1 2 2
0 1 1
2 1 2
2 2 1
1 0 1
2 0 1
10 4
1 3 3
0 0 0
1 0 2
0 0 1
2 0 1
2 3 0
2 3 3
1 1 3
3 0 2
2 2 1
10 2
1 0 1
3 1 3
1 1 3
3 3 1
2 3 2
3 2 3
1 3 0
1 0 3
2 0 0
2 2 2
10 6
0 2 1
1 1 1
2 0 0
0 0 0
0 1 0
0 1 1
1 2 0
2 1 0
2 1 2
0 2 0
10 4
2 1 0
2 3 3
3 2 3
0 3 1
1 1 3
1 1 1
1 0 3
2 3 2
3 0 3
2 3 1
10 5
3 0 1
0 3 2
3 0 2
0 0 1
0 1 1
3 3 3
2 3 2
1 0 2
0 0 0
0 3 3
10 9
0 1 2
1 0 0
3 2 1
2 3 2
1 1 0
2 3 1
1 3 0
1 0 2
2 1 3
3 1 2
10 4
3 3 2
1 3 2
0 3 0
2 1 1
0 1 2
2 2 0
1 3 1
3 2 1
0 2 0
0 3 2
10 2
2 2 1
2 0 3
3 3 2
0 3 2
0 1 0
1 2 2
0 0 0
1 1 3
3 1 1
0 3 1
10 4
0 2 1
0 0 1
2 1 0
1 1 1
0 2 0
0 0 0
0 1 0
0 1 1
1 0 0
2 2 2
10 6
1 1 1
1 0 2
0 2 0
1 1 2
1 0 1
1 2 0
2 0 0
0 0 2
2 1 1
0 2 1
10 2
0 0 0
0 2 0
2 1 0
3 1 0
1 3 3
2 3 0
2 0 2
3 1 3
0 0 2
1 2 3
10 5
0 2 1
2 2 2
0 1 1
1 1 1
0 0 2
2 1 0
0 1 2
2 1 2
1 2 1
0 2 0
10 3
0 2 1
0 0 1
0 1 1
1 0 1
2 2 2
2 0 1
0 1 2
1 2 2
2 0 0
2 1 0
10 8
3 3 3
1 3 1
3 0 3
1 0 3
0 2 1
1 2 1
1 1 3
3 0 1
1 3 2
2 0 1
10 7
3 0 0
2 0 1
2 3 1
1 0 2
2 0 2
2 0 3
3 0 3
0 1 2
1 2 0
0 0 3
10 2
1 2 2
1 1 2
1 0 1
0 1 1
1 2 1
1 0 0
0 0 0
0 2 2
1 1 1
2 0 2
10 8
1 2 1
0 0 0
0 3 1
2 3 0
1 1 0
1 3 1
0 1 0
1 1 3
3 0 0
3 0 1
10 9
1 1 2
3 0 2
0 0 0
2 1 0
3 3 2
3 1 3
3 0 3
2 1 3
3 2 2
2 0 1
10 6
1 0 1
3 2 2
3 3 1
0 0 1
2 1 0
1 3 0
1 1 3
1 3 3
1 2 0
3 0 2
10 2
1 1 2
0 1 2
2 1 2
1 2 2
1 0 1
1 1 1
2 1 1
0 0 0
0 2 0
2 1 0
10 9
1 0 2
1 0 1
2 0 0
1 2 1
0 2 2
1 1 2
0 1 1
1 2 2
0 0 2
2 2 1
10 2
0 0 3
1 1 1
1 1 2
2 0 0
3 1 1
0 3 2
3 2 2
0 0 1
0 2 0
0 2 3
10 4
0 3 0
0 2 2
2 3 2
1 0 0
2 0 1
2 1 0
0 0 2
2 0 0
2 3 0
0 1 2
10 7
0 1 2
2 2 1
2 1 1
1 1 2
2 1 0
1 2 1
0 2 0
2 2 0
1 1 1
0 2 1
10 8
2 3 2
1 3 0
2 1 0
0 0 3
0 1 3
1 3 2
0 1 0
2 1 1
1 1 3
0 3 3
10 7
1 1 0
1 1 3
2 2 2
3 1 1
1 2 0
3 2 0
0 0 2
2 2 0
0 2 3
0 1 1
10 8
0 1 1
0 3 1
1 1 0
3 1 1
0 0 0
0 3 3
2 2 1
0 1 3
3 2 2
3 2 3
10 3
3 2 0
0 3 1
1 3 2
2 1 2
3 2 1
0 3 3
2 3 3
0 0 0
1 2 3
3 3 0
10 6
2 3 1
3 0 2
0 2 1
3 3 3
3 1 1
3 0 0
0 3 3
3 3 0
1 0 2
0 0 3
10 4
0 3 2
2 1 2
2 0 2
0 1 1
0 3 1
0 0 0
0 3 0
1 0 2
0 3 3
1 1 0
10 7
3 1 3
3 1 0
3 3 1
1 0 1
3 3 2
0 3 3
2 2 3
0 0 3
3 1 1
2 1 3
10 3
0 0 2
1 0 0
1 2 2
2 1 1
2 2 1
1 1 1
2 0 0
1 2 0
2 2 0
0 0 0
10 7
3 2 0
3 1 1
3 3 3
3 1 2
1 0 3
3 0 3
1 0 2
3 2 1
0 3 2
2 2 3
10 4
0 1 2
1 2 2
1 0 0
2 2 0
0 1 1
2 0 1
0 0 0
0 2 0
0 0 2
2 1 1
10 4
0 1 1
1 0 0
2 1 1
1 1 2
0 0 1
2 0 0
1 1 1
1 2 1
2 2 0
0 0 2
10 5
1 2 2
0 0 1
1 0 0
0 1 1
0 1 2
0 0 2
2 2 1
1 0 2
1 2 0
0 2 2
10 7
0 1 1
1 1 0
1 1 2
0 0 2
2 0 1
0 1 2
0 0 1
1 1 1
1 2 2
2 1 1
10 9
1 2 0
2 0 2
2 0 1
2 1 1
2 1 0
0 1 2
2 2 2
1 1 1
1 1 0
1 2 1
10 6
0 3 3
1 0 0
2 3 2
1 1 1
0 0 1
3 1 1
1 3 1
2 1 3
1 0 1
1 2 1
10 9
2 3 0
0 3 0
3 0 3
1 1 1
1 3 3
3 0 0
0 3 2
2 2 3
1 2 2
1 1 3
10 5
0 2 2
1 3 3
2 3 0
1 1 1
2 3 1
2 0 3
3 2 2
3 3 0
3 2 0
1 0 1
10 7
2 0 0
1 0 0
2 0 1
0 0 1
0 2 2
1 0 2
2 2 0
1 1 2
0 1 2
1 2 0
10 9
2 2 1
1 0 2
0 1 1
2 1 2
0 2 2
1 1 1
1 0 0
1 1 0
2 0 0
0 1 2
10 7
1 2 0
0 1 2
1 2 2
1 2 1
3 0 3
2 2 1
1 2 3
0 3 1
1 0 1
3 0 2
10 2
1 0 2
2 3 3
3 1 3
0 3 3
2 2 1
2 1 0
2 2 2
0 2 2
3 3 2
3 1 1
10 2
2 1 0
0 3 2
2 2 0
2 3 0
2 2 3
2 1 2
2 3 2
1 2 3
0 3 3
2 0 0
10 9
2 2 0
2 0 0
0 1 2
1 0 1
2 1 1
2 0 2
0 2 0
1 2 0
1 1 1
2 1 2
10 7
0 0 1
1 0 2
0 2 0
2 1 2
0 0 2
1 0 1
1 1 2
1 2 1
1 0 0
2 1 0
10 9
1 1 2
3 2 2
1 0 2
3 1 0
3 0 0
2 3 3
2 1 1
0 2 3
0 1 0
1 2 1
10 4
3 3 1
2 2 1
0 0 0
0 3 1
3 2 2
0 2 3
0 1 0
3 1 0
3 1 2
2 3 1
10 6
2 1 2
2 0 2
0 0 0
1 3 0
0 0 2
1 1 1
2 2 1
3 0 0
2 0 1
3 1 2
10 7
1 2 2
2 1 2
1 2 1
2 2 2
2 2 0
2 0 2
1 1 2
2 0 1
2 1 0
0 0 1
10 8
2 1 2
2 0 1
1 1 1
2 2 0
1 2 0
0 0 0
0 1 1
2 0 0
1 2 2
2 0 2
10 4
0 1 0
0 3 3
3 0 2
1 0 3
2 0 3
1 2 1
1 1 0
0 0 1
0 1 1
3 1 1
10 7
2 2 3
0 3 1
0 2 1
0 2 0
1 0 3
2 0 1
0 3 0
3 3 3
2 0 2
2 0 3
10 6
0 1 1
2 3 3
1 1 1
2 2 3
3 3 2
0 3 2
3 3 1
2 3 1
0 3 0
0 3 1
10 6
2 0 0
0 3 1
1 3 2
2 1 3
2 3 2
3 0 2
1 2 3
3 3 1
0 0 0
3 3 2
10 4
1 1 1
2 2 0
1 1 2
0 2 1
2 0 1
0 1 2
1 0 1
2 1 1
1 1 0
1 0 0
10 8
3 1 0
2 3 2
1 2 3
0 3 1
1 3 2
1 2 1
3 0 2
1 0 3
0 2 0
0 3 2
10 8
2 0 3
3 2 2
3 1 3
3 2 0
2 2 2
2 3 1
1 3 3
3 1 0
2 1 3
2 3 0
10 9
0 2 3
1 3 3
1 2 0
0 0 2
3 3 3
1 1 0
1 2 3
0 1 0
0 1 2
2 0 3
10 8
3 0 0
2 2 0
2 3 3
3 3 2
3 3 1
1 0 2
3 2 3
2 1 1
2 0 1
1 3 3
10 6
3 1 3
0 1 0
3 2 3
3 3 0
2 0 0
3 3 1
0 0 2
0 0 1
0 0 3
1 2 3
10 6
2 0 0
1 1 3
2 1 1
3 2 3
3 1 2
3 3 0
3 2 0
2 3 2
2 1 0
3 1 3
10 9
1 0 1
1 2 2
2 1 1
2 2 0
0 0 0
0 2 2
2 0 0
0 0 2
1 1 1
2 0 2
10 9
1 2 0
1 1 2
0 0 0
1 2 1
0 2 1
2 0 2
1 0 2
2 1 0
0 1 1
2 0 1
10 2
3 3 3
1 1 1
0 3 1
2 0 3
0 0 3
3 1 1
1 3 3
1 2 2
0 2 2
2 0 0
10 6
2 1 3
3 2 3
0 0 1
0 1 1
1 3 0
0 0 0
2 2 0
3 0 3
1 0 2
3 1 0
10 8
2 0 2
1 0 1
1 2 0
0 1 0
0 0 1
2 1 2
1 0 2
1 0 0
1 1 1
0 1 1
10 9
1 0 0
2 0 1
0 2 1
1 2 2
1 0 2
1 0 1
1 1 1
2 0 2
0 1 1
0 2 0
10 7
1 0 1
2 2 1
0 1 1
2 2 2
1 1 2
0 0 0
2 0 1
0 2 1
0 1 2
1 0 0
10 4
3 3 3
3 1 0
1 0 0
2 2 3
0 2 2
2 2 2
2 0 3
2 1 2
0 3 1
1 0 2
10 7
1 0 3
0 3 1
3 1 3
1 2 2
1 2 1
2 2 3
3 2 1
2 2 0
3 3 0
2 1 0
10 3
0 0 0
2 0 1
3 0 2
2 0 2
2 2 1
1 3 3
3 1 2
3 2 3
1 3 2
2 0 0
10 2
1 0 0
0 1 3
1 1 1
1 1 0
3 0 1
3 3 2
3 0 2
2 3 3
2 0 3
2 0 1
10 6
1 2 0
2 1 2
2 0 1
1 0 0
2 1 0
0 2 2
0 2 1
0 0 0
1 1 2
1 2 1
10 4
2 1 2
0 2 2
0 0 2
2 0 0
2 2 2
2 2 0
0 0 0
1 0 2
0 2 1
2 2 1
10 6
0 0 3
2 0 3
2 1 2
2 1 3
2 2 3
1 0 3
0 1 3
0 0 0
1 0 0
3 0 1
10 5
1 1 0
0 2 0
2 0 2
2 2 2
1 2 2
2 1 0
0 2 1
2 0 0
2 2 0
0 1 1
10 2
0 1 3
0 3 1
1 1 3
0 1 1
0 0 1
0 0 2
3 2 1
2 0 2
2 1 1
3 1 1
10 4
2 1 1
2 1 2
0 0 1
1 2 0
0 0 2
1 1 2
0 0 0
2 2 1
1 0 0
2 1 0
10 6
0 2 2
2 1 3
1 0 2
2 0 1
2 1 1
0 3 2
3 2 2
0 3 0
3 2 0
0 2 1
10 8
3 2 1
3 2 2
0 1 0
1 3 2
2 3 2
2 2 2
3 2 3
3 0 2
2 1 1
1 1 0
10 5
2 1 1
2 1 0
3 3 0
3 0 3
2 2 1
1 2 3
0 3 2
3 2 2
3 1 2
1 0 0
10 2
0 1 0
2 1 0
1 1 1
0 3 2
2 2 1
1 0 2
1 0 0
2 1 1
2 0 2
1 0 3
10 6
0 0 1
2 1 1
2 2 0
1 1 0
0 2 1
1 2 2
0 1 2
2 2 2
1 2 1
1 0 0
10 3
0 0 0
0 0 2
0 1 2
0 2 2
1 1 0
2 1 2
0 2 0
2 0 2
0 0 1
1 0 0
10 5
1 3 3
0 3 3
2 0 3
3 2 0
3 3 2
1 1 0
1 0 3
3 3 0
0 2 3
0 1 0
10 8
2 2 2
1 2 2
2 0 0
0 0 1
2 2 1
0 1 0
2 1 1
1 0 0
0 2 0
2 2 0
10 7
1 0 2
2 1 2
1 1 1
2 0 2
0 2 2
2 1 1
2 1 0
0 0 1
1 0 1
0 1 0
10 9
1 3 3
1 2 0
0 0 3
3 1 0
2 0 0
0 2 2
1 0 0
2 3 2
3 1 1
3 3 1
10 7
1 1 3
0 3 0
3 2 3
3 1 0
1 3 3
2 1 1
0 0 0
0 1 3
0 3 2
3 3 2
10 8
2 1 0
0 1 0
1 1 0
2 2 1
0 1 1
0 0 1
2 2 0
0 0 2
2 0 1
0 2 0
10 2
0 0 3
1 1 3
0 0 0
3 3 0
1 2 0
0 1 0
2 2 1
3 2 0
1 0 1
1 3 2
10 3
0 1 0
2 1 2
0 2 2
2 1 0
2 2 2
0 0 0
0 1 1
2 0 0
1 2 1
1 0 1
10 4
0 0 1
2 2 0
2 2 2
0 2 0
1 1 2
0 2 2
1 0 0
1 2 1
2 0 0
2 0 2
10 3
2 3 2
1 2 0
3 1 1
1 0 2
2 1 0
1 0 0
2 2 3
0 1 1
1 2 1
1 0 3
10 9
3 0 2
1 3 2
0 3 1
3 0 0
3 2 0
1 0 3
3 0 1
1 1 3
2 3 1
3 3 0
10 5
2 0 2
0 2 0
1 0 2
0 1 0
0 1 1
2 2 0
0 1 2
2 0 0
2 1 0
1 1 1
10 5
0 1 0
1 1 2
2 1 0
1 2 1
1 0 0
2 2 1
2 1 2
2 0 2
2 2 2
1 2 0
10 2
3 2 2
0 2 0
3 1 2
1 1 0
1 2 0
2 1 1
3 3 0
0 3 3
3 1 0
0 0 2
10 2
2 1 2
2 2 0
1 0 2
1 2 2
0 2 1
1 2 0
0 0 1
1 2 1
0 0 0
0 1 1
10 6
0 0 0
0 1 2
1 1 2
1 2 2
0 2 2
2 2 0
2 2 1
1 0 0
0 2 0
2 0 0
10 8
2 1 2
0 1 2
1 1 1
2 2 2
0 1 0
0 2 2
2 1 1
1 0 2
0 0 2
1 0 0
10 4
0 2 1
2 2 1
1 1 1
1 1 2
1 2 1
2 0 2
0 1 0
0 1 2
2 2 2
1 1 0
10 7
0 0 3
1 2 1
1 1 1
2 1 2
2 0 2
2 3 0
2 3 3
2 3 2
1 2 2
3 3 0
10 2
1 0 2
1 1 2
2 2 1
0 1 1
1 2 0
2 2 0
2 0 0
2 1 1
0 2 0
0 2 1
10 6
2 1 2
0 1 0
3 1 1
2 2 0
2 3 2
0 2 1
2 2 2
1 0 0
3 3 0
3 3 1
10 6
0 2 1
1 2 0
1 1 2
2 3 1
1 1 0
3 0 2
1 0 0
3 2 0
0 3 1
1 0 1
10 9
2 0 2
1 1 1
3 3 2
0 1 0
2 3 1
1 1 2
0 2 2
0 0 1
0 3 0
0 3 2
10 7
0 1 0
0 0 3
0 3 2
1 0 3
2 1 2
0 0 0
2 3 1
3 2 1
0 0 1
1 3 0
10 7
3 3 2
1 0 0
0 3 1
1 0 3
3 0 3
3 0 0
1 3 0
3 2 0
0 2 3
2 2 3
10 8
0 2 3
1 1 0
1 3 0
1 2 0
1 0 3
2 2 2
1 3 3
1 2 3
1 1 1
3 3 1
10 2
1 3 3
2 3 0
2 0 2
3 3 0
0 1 1
1 2 2
2 2 1
2 2 0
0 3 2
3 2 3
10 5
1 1 2
2 3 2
2 0 0
0 3 0
2 0 3
1 1 1
3 1 2
2 3 3
3 3 2
1 3 1
10 6
1 2 2
2 2 0
2 0 3
3 1 1
0 0 0
0 1 0
3 3 3
3 1 2
0 3 2
1 0 3
10 8
1 2 2
2 0 1
0 0 1
2 0 0
0 0 2
1 1 1
0 2 1
0 0 0
1 0 1
0 1 1
10 3
1 1 0
0 2 2
2 0 0
0 2 1
0 0 2
0 1 1
2 1 2
0 0 1
2 0 1
0 1 0
10 7
1 2 2
3 3 2
1 0 2
1 0 1
3 2 0
0 0 0
3 1 1
1 2 1
3 1 3
0 2 0
10 3
2 1 2
1 0 2
0 0 0
1 2 2
0 1 1
0 1 0
2 2 1
0 2 2
2 0 0
2 1 0
10 7
2 1 0
1 0 3
3 3 2
1 3 0
3 3 3
1 1 0
0 1 0
0 0 3
3 2 0
0 3 2
10 6
1 0 0
1 2 1
1 2 2
2 2 0
1 1 2
0 2 1
0 1 2
2 1 0
2 0 0
2 0 1
10 4
1 2 1
3 3 2
2 1 3
2 1 1
0 3 1
1 3 1
2 2 2
2 3 0
3 1 2
0 3 0
10 2
3 1 1
1 1 0
2 1 3
1 0 1
1 0 3
2 0 2
3 1 2
2 3 1
3 0 3
0 3 0
10 4
2 3 3
2 2 0
0 1 2
3 0 2
3 2 2
3 1 3
3 2 0
2 0 1
0 3 1
0 3 2
10 5
2 0 0
2 3 3
2 2 1
0 2 3
0 0 3
0 3 3
2 1 0
1 2 1
3 2 0
3 0 0
10 3
0 0 2
2 1 0
0 2 0
0 0 1
1 0 2
1 0 0
0 1 2
1 2 0
0 1 1
2 0 2
10 7
0 1 0
0 1 1
1 0 0
2 2 1
0 1 2
2 0 0
1 2 1
0 2 2
2 2 0
2 0 1
10 5
0 1 0
3 2 0
3 3 1
3 2 3
0 2 1
2 2 1
3 1 0
1 1 3
2 1 2
2 3 3
10 9
1 0 1
2 0 0
1 0 0
2 2 1
0 2 1
1 2 0
2 0 2
0 1 2
0 1 0
2 2 0
10 8
2 1 0
3 3 1
0 2 1
3 0 2
1 1 3
0 2 2
3 3 0
2 0 1
0 0 0
0 3 1
10 3
1 0 1
2 0 0
2 0 1
0 0 0
1 1 0
1 2 0
0 2 0
1 2 2
0 1 0
0 1 1
10 5
2 0 2
0 0 1
1 1 1
2 1 1
1 0 1
1 2 2
2 2 2
0 1 0
0 0 0
0 2 1
10 6
1 0 1
0 1 2
2 1 2
0 0 2
2 2 1
2 0 2
0 1 0
2 0 0
2 0 1
0 2 1
10 8
1 0 1
2 1 2
0 2 1
1 1 2
2 0 0
0 2 0
1 2 1
0 0 1
0 1 1
2 2 2
10 4
1 0 2
1 1 1
2 0 2
0 0 0
1 2 0
2 2 2
1 1 2
2 1 1
0 0 1
1 2 1
10 6
3 0 2
1 3 1
0 1 3
0 0 0
0 2 0
0 2 1
0 1 1
0 1 2
0 3 2
1 3 2
10 5
2 0 2
0 2 0
1 2 1
1 1 1
2 2 2
1 2 2
0 0 2
1 2 0
1 1 0
2 1 2
10 8
2 2 0
1 1 0
2 1 1
2 1 2
1 0 1
0 2 1
0 0 0
2 0 2
0 1 2
1 0 2
10 5
0 1 1
1 2 2
2 0 2
2 1 0
2 0 0
1 2 1
0 2 1
0 0 0
1 1 1
1 0 1
10 5
3 1 0
2 2 1
0 1 3
0 2 0
2 1 1
0 3 2
1 1 1
2 0 1
2 1 2
2 3 0
10 4
0 1 3
0 3 2
3 1 1
1 3 3
3 2 0
2 2 2
2 2 3
1 3 0
3 1 0
0 2 0
10 2
3 2 2
2 0 2
3 3 2
2 0 3
0 0 3
2 2 0
1 0 3
0 3 1
1 0 2
0 1 2
10 9
1 2 2
0 0 3
2 3 1
2 2 0
1 1 0
2 2 3
0 2 1
3 0 3
1 1 2
1 0 1
10 4
1 0 0
2 0 1
0 2 2
0 1 2
1 2 0
0 1 1
0 0 2
2 1 2
2 2 2
1 2 2
10 8
1 2 0
1 0 0
0 1 0
2 0 0
0 1 1
0 0 0
0 0 2
2 1 0
0 0 1
1 2 1
10 8
2 1 0
2 2 1
0 1 2
0 2 1
0 1 0
2 1 2
0 0 2
1 0 0
1 0 2
0 2 0
10 7
1 0 0
1 1 2
2 1 0
1 2 1
0 0 2
0 2 2
1 0 1
0 0 1
0 1 0
2 0 0
10 8
0 1 3
2 1 0
1 0 1
3 0 0
1 1 1
3 2 0
1 2 1
3 0 3
2 1 1
0 3 3
10 4
1 3 2
3 2 0
3 0 1
2 3 1
3 0 3
2 1 0
1 1 2
3 1 1
0 2 2
3 2 1
10 2
0 1 0
1 0 0
0 0 0
1 2 0
0 0 1
0 1 2
2 1 0
2 1 1
0 2 0
0 2 2
10 5
2 0 3
0 3 0
2 2 2
3 3 2
2 0 0
1 2 1
2 3 3
2 1 0
2 2 3
3 1 0
10 7
1 2 3
3 3 1
2 1 3
0 1 2
2 0 2
1 2 2
3 3 0
3 1 3
3 1 1
1 1 0
10 2
1 0 2
0 1 2
1 2 0
2 2 0
0 1 0
1 0 1
1 1 2
2 2 2
1 1 1
0 2 2
10 8
0 1 0
2 1 0
2 0 1
0 2 0
0 1 1
1 1 2
2 2 1
0 2 2
1 1 0
2 2 2
10 4
1 2 2
2 2 2
1 0 2
2 1 1
1 2 1
2 0 0
2 0 2
2 0 1
0 0 1
1 0 1
10 7
2 2 1
1 1 2
0 1 1
0 2 2
2 1 1
0 1 2
2 0 2
1 0 1
0 0 2
1 2 0
10 2
3 0 2
2 2 1
3 2 1
1 0 0
0 3 0
0 1 1
1 1 0
0 2 0
2 0 3
0 1 2
10 3
0 0 0
2 1 0
1 0 1
2 2 1
0 2 1
0 2 0
2 0 2
2 1 1
1 1 2
0 1 2
10 6
1 1 1
2 3 2
0 3 0
0 1 0
3 3 0
0 2 2
0 1 2
2 2 3
1 1 0
2 0 0
10 7
0 2 1
1 0 1
0 1 1
1 0 0
0 0 0
2 2 2
1 2 0
1 1 1
0 1 2
2 1 1
10 5
0 1 2
0 3 0
2 2 1
3 1 0
1 1 3
1 2 0
2 3 1
3 3 2
1 0 0
2 1 3
10 3
3 2 2
2 0 1
1 0 0
2 2 1
0 0 3
1 3 1
1 0 2
0 3 2
3 3 2
1 1 0
10 9
3 2 3
0 1 2
3 1 2
2 3 1
1 3 1
2 2 0
1 3 2
1 3 3
3 3 3
0 2 3
10 6
0 1 2
2 2 1
0 0 1
2 2 2
0 2 1
2 0 2
2 0 1
1 0 0
0 0 2
2 1 2
10 9
1 0 2
1 1 3
2 2 3
2 0 1
0 1 2
0 1 3
1 2 1
3 3 2
0 0 3
2 0 2
10 8
2 0 1
0 1 2
1 2 2
1 2 0
1 1 0
2 1 1
1 1 1
2 2 0
0 1 0
2 0 0
10 3
1 0 0
1 0 1
0 0 1
2 2 0
0 0 2
0 2 2
2 0 0
1 2 1
0 0 0
0 1 2
10 6
0 2 0
3 0 2
2 2 2
2 0 1
3 2 1
2 3 3
1 2 3
0 0 0
0 2 3
0 3 2
10 7
3 1 0
1 1 3
0 2 0
0 1 0
3 0 2
3 1 2
3 3 0
3 0 1
1 1 1
1 1 2
10 9
1 0 1
1 1 2
1 2 0
3 0 2
3 2 0
3 3 1
1 3 2
3 0 3
0 2 0
0 3 0
10 2
2 2 1
0 2 0
0 1 2
2 0 2
0 0 1
0 2 1
2 1 0
1 2 0
2 1 2
1 2 1
10 5
2 2 2
0 0 0
0 2 1
1 2 2
0 0 2
1 2 0
0 0 1
2 0 1
1 1 1
2 2 1
10 3
1 0 1
2 2 1
3 3 3
2 2 2
1 3 1
3 2 2
1 0 3
2 3 1
2 1 2
0 0 2
10 2
1 1 3
3 1 1
3 3 3
3 1 3
0 1 3
2 1 2
0 3 1
2 1 3
3 1 0
1 2 1
10 2
2 2 2
3 1 2
0 1 1
1 3 1
1 2 2
1 2 0
0 2 2
0 1 3
0 3 2
3 3 2
10 4
0 1 1
2 1 1
2 2 2
2 0 2
1 1 2
1 2 1
1 0 2
0 0 0
0 2 1
0 1 2
10 8
1 2 1
2 0 2
2 0 1
2 2 2
2 1 0
0 2 2
1 0 0
1 0 1
1 1 0
0 2 0
10 9
2 0 1
3 2 2
2 3 2
2 1 1
3 1 1
3 1 0
1 0 0
2 3 0
0 2 1
2 0 2
10 7
3 3 2
1 3 0
0 1 3
2 0 2
1 2 3
3 3 1
0 2 1
2 0 1
0 3 2
2 2 3
10 8
2 1 3
3 3 0
2 0 2
0 0 3
1 1 3
0 2 1
3 0 1
1 0 3
3 0 2
2 3 1
10 9
2 1 0
0 0 2
0 2 1
0 1 2
2 1 2
2 2 2
2 0 0
0 1 0
0 0 0
1 1 2
10 4
2 1 2
2 0 0
0 1 2
1 0 2
2 1 0
1 2 1
0 0 2
0 1 0
0 1 1
0 2 2
10 3
2 3 1
1 1 1
1 3 0
1 2 3
2 0 3
3 3 3
2 1 1
2 0 0
2 2 3
3 3 0
10 9
0 2 1
0 2 2
1 1 2
0 1 2
0 2 0
2 2 2
0 1 0
1 0 1
1 1 1
2 1 1
10 8
0 2 2
0 1 1
2 1 2
1 1 1
2 1 1
2 2 2
0 2 1
1 0 1
0 0 1
0 0 2
10 7
0 0 2
0 2 3
1 3 0
1 1 1
1 0 2
3 0 3
0 1 1
2 3 2
1 1 2
3 0 2
10 8
0 0 1
1 1 0
1 2 0
1 1 1
1 0 0
0 1 1
2 0 2
1 2 2
1 1 2
2 0 0
10 3
3 2 0
1 2 0
2 0 3
0 2 2
3 3 0
1 1 0
2 1 0
1 2 1
3 3 1
2 0 2
10 6
2 2 0
0 3 0
2 1 0
1 0 3
3 0 2
0 3 3
2 3 2
0 1 3
1 3 3
2 3 3
10 9
3 1 3
1 3 0
3 2 2
2 2 1
1 2 2
3 1 1
1 3 1
2 3 2
1 2 0
1 0 3
10 4
0 1 0
1 2 1
2 1 1
1 1 2
0 2 2
2 2 1
0 2 0
2 0 2
1 1 1
0 0 2
10 5
0 0 0
3 3 0
3 0 2
0 1 3
2 0 3
3 2 0
3 2 1
1 3 2
1 0 1
0 2 2
10 6
1 1 0
2 1 2
0 2 2
2 2 0
1 1 2
0 1 2
0 1 0
0 2 0
1 2 2
1 2 1
10 8
3 0 1
2 3 0
3 2 0
3 2 1
2 0 2
0 2 2
2 0 0
1 0 3
1 3 3
2 2 2
10 6
2 2 1
0 0 0
2 0 1
1 2 2
0 0 1
0 2 1
2 1 2
2 1 1
1 0 0
0 2 2
10 8
2 2 0
3 0 3
0 1 2
0 0 1
2 1 2
3 3 2
1 2 0
2 3 0
0 1 3
1 2 3
10 5
1 2 2
2 0 0
0 1 1
0 2 2
1 0 1
0 1 2
1 1 0
2 1 1
1 1 2
1 1 1
10 8
0 1 2
0 0 1
2 1 2
0 1 1
2 0 2
0 1 0
1 0 0
2 0 0
2 0 1
2 2 0
10 4
0 2 1
0 0 2
1 2 0
2 1 2
0 1 1
0 0 0
1 0 0
0 0 1
0 2 0
2 2 0
10 8
1 2 0
1 2 2
1 0 1
0 1 2
1 1 0
2 1 2
2 2 1
0 0 0
1 0 2
0 0 2
10 7
1 0 0
2 2 0
1 0 2
2 2 1
2 1 0
0 0 0
0 0 1
1 2 2
0 1 2
0 2 1
10 8
1 3 1
0 2 3
1 3 0
0 0 3
1 0 2
3 3 0
3 3 1
1 2 2
3 0 0
0 0 1
10 8
2 2 2
2 1 1
1 0 0
2 0 0
1 1 0
0 1 0
0 2 0
0 2 2
1 2 2
0 1 1
10 8
1 3 3
3 2 1
2 3 2
0 2 3
1 3 1
2 3 1
1 2 3
3 2 2
0 0 3
0 2 1
10 6
0 0 1
0 1 1
1 2 1
2 2 2
1 0 0
0 2 2
2 1 0
2 0 1
0 2 1
1 1 1
10 7
1 2 1
2 2 2
0 2 2
2 1 1
1 3 1
3 0 2
1 1 0
1 3 0
3 2 1
2 3 1
10 9
2 0 2
1 3 1
3 1 1
3 0 2
3 2 2
0 0 3
0 2 0
1 0 1
1 0 0
2 2 2
10 6
0 1 1
1 2 1
2 1 1
2 1 0
1 0 0
2 0 1
2 2 2
2 1 2
1 1 1
0 1 2
10 6
2 1 1
0 1 2
1 2 2
0 1 1
0 0 0
0 2 0
2 2 2
2 0 2
1 0 2
2 1 2
10 6
1 1 3
3 3 3
1 0 2
3 2 0
2 1 2
0 1 2
3 0 2
3 0 0
3 2 3
0 2 3
10 9
1 3 2
2 2 1
3 3 3
3 2 3
0 0 3
3 0 0
1 0 1
2 3 0
2 3 3
1 2 3
10 8
3 2 2
2 2 0
1 3 3
3 3 3
3 1 1
2 2 1
0 3 1
1 1 3
3 2 3
3 1 3
10 4
1 0 1
0 0 1
1 0 2
2 0 0
2 0 1
2 2 0
1 2 0
0 2 2
1 0 0
2 2 2
10 6
1 2 0
2 0 0
1 0 2
1 0 0
2 0 1
2 2 1
0 2 2
0 0 0
0 1 1
1 1 2
10 2
0 1 2
2 0 0
2 2 1
0 0 1
0 2 1
1 2 2
1 2 0
1 1 1
0 0 2
2 0 2
10 5
1 2 1
3 0 2
0 3 3
3 1 0
1 3 0
3 3 2
0 0 1
0 3 1
3 2 0
0 2 2
10 8
1 2 0
1 2 1
0 0 1
0 2 0
1 2 2
2 2 2
2 0 0
0 0 2
1 1 1
1 0 1
10 8
1 1 2
1 2 0
2 1 0
1 2 2
2 0 1
2 2 0
0 0 1
0 0 0
0 2 1
2 1 2
10 5
2 2 2
2 0 2
2 2 0
2 0 0
1 2 2
0 2 0
1 0 2
0 0 1
1 0 0
0 1 0
10 8
1 2 0
2 1 0
0 0 1
1 0 1
0 0 0
0 2 1
2 2 1
1 0 2
2 1 1
1 2 1
10 4
1 0 2
0 0 1
1 0 0
2 0 1
2 2 1
2 0 2
1 2 2
0 1 0
0 2 1
0 1 2
10 9
1 1 2
3 1 2
3 2 0
2 0 3
1 1 0
1 3 0
0 2 1
2 0 1
2 1 2
0 0 3
10 5
2 0 1
2 0 0
0 1 1
2 1 2
0 0 0
1 0 0
2 0 2
1 1 2
2 1 0
2 2 2
10 8
0 2 1
3 2 3
1 0 3
0 1 3
3 0 3
0 1 2
3 0 2
2 0 3
2 0 0
0 2 2
10 6
0 0 0
1 0 0
2 3 3
2 0 1
1 1 1
3 0 0
3 2 1
1 0 3
3 0 3
1 1 0
10 4
2 1 2
2 0 1
2 1 1
2 2 0
1 0 1
0 2 1
0 1 0
1 1 1
2 0 0
0 0 0
10 4
1 0 2
0 2 2
2 2 2
1 1 2
2 2 1
2 2 0
1 1 1
2 0 0
1 2 2
0 0 2
10 9
0 2 3
3 1 0
2 1 2
3 1 3
3 0 0
0 3 0
0 2 2
1 0 1
3 3 1
1 1 2
10 2
2 3 1
2 1 3
3 0 0
1 1 2
3 0 3
0 1 1
3 2 2
0 2 2
1 0 0
1 2 2
10 3
1 3 2
2 3 0
3 1 2
0 3 1
3 3 3
2 3 1
3 1 1
2 2 1
2 1 2
0 3 3
10 3
0 2 2
2 3 3
3 3 2
0 3 3
0 0 0
1 2 3
2 2 3
3 3 0
3 0 2
1 2 1
10 7
2 2 2
0 1 1
2 0 1
2 0 2
1 1 0
1 0 0
2 1 0
0 2 0
0 0 2
1 2 2
10 7
1 0 1
1 1 0
2 1 2
0 1 1
1 2 2
1 2 0
1 0 0
2 1 0
1 0 2
0 2 0
10 5
2 3 1
3 1 1
3 2 2
0 0 3
2 1 2
0 3 1
0 2 3
1 2 1
2 3 3
2 2 3
10 4
0 1 2
2 1 2
1 2 1
2 2 1
1 1 2
1 2 2
2 2 0
2 1 0
0 0 1
2 1 1
10 6
0 2 2
2 0 1
1 2 0
1 1 1
2 2 2
2 0 0
2 2 1
0 1 0
1 1 2
1 0 0
10 3
2 0 2
2 1 2
1 2 0
0 2 1
1 1 2
2 2 1
2 1 0
0 0 2
0 2 2
2 1 1
10 8
0 1 2
1 0 2
0 0 1
0 1 1
2 2 2
2 1 0
0 2 1
0 1 0
2 0 2
0 0 0
10 9
0 2 1
1 2 0
2 1 2
2 1 1
0 1 1
0 0 0
2 2 2
2 1 0
2 0 2
1 2 1
10 4
2 0 1
1 2 0
0 2 1
0 0 2
0 2 2
2 0 2
2 1 0
1 1 1
2 2 1
1 1 2
10 5
1 3 2
1 1 0
3 3 3
1 0 0
0 0 2
0 3 2
3 0 3
1 1 3
0 2 2
3 1 3
10 8
0 0 1
0 1 0
3 2 0
1 1 1
0 1 2
3 3 1
0 2 1
1 1 0
0 3 2
2 3 1
10 9
1 0 2
0 0 0
2 2 1
0 2 2
2 1 0
0 1 2
2 0 1
1 1 0
0 2 1
2 0 2
10 8
1 1 1
2 2 0
0 0 1
0 1 1
1 0 1
0 2 0
2 0 1
2 2 2
2 0 2
1 0 2
10 9
2 0 2
1 1 1
1 0 1
1 0 0
2 2 2
0 1 1
0 0 1
1 2 0
0 0 2
2 0 0
10 4
2 3 3
2 2 1
3 2 3
0 3 3
2 2 0
2 0 3
0 2 3
1 2 3
3 3 0
1 3 3
10 4
2 0 0
1 2 0
0 2 0
0 2 2
1 0 2
2 1 0
1 0 1
2 2 2
1 1 1
0 1 1
10 7
3 0 2
1 0 0
1 2 1
1 2 0
1 3 3
2 3 0
3 1 0
0 1 1
0 3 2
1 2 3
10 3
2 1 1
0 1 3
1 0 3
3 3 0
0 2 1
1 3 0
3 2 1
0 0 2
2 3 2
3 1 3
10 8
0 2 0
2 2 0
1 1 1
2 1 0
0 2 1
1 1 2
0 1 2
0 1 0
1 2 0
1 1 0
10 9
3 2 2
3 0 2
3 1 0
0 2 0
1 0 3
1 2 0
0 1 2
0 1 3
3 3 3
3 3 1
10 7
0 0 0
1 2 2
2 1 1
2 2 1
0 1 0
0 2 1
2 1 2
0 2 0
1 1 0
1 0 1
10 2
1 0 1
0 1 1
2 2 0
0 2 2
0 2 1
2 0 0
2 2 1
2 2 2
2 0 1
2 0 2
10 8
0 0 0
0 0 2
1 2 3
2 1 0
0 2 1
0 3 1
1 1 1
2 1 2
0 2 0
1 3 3
10 2
0 2 0
0 2 1
1 3 2
2 1 0
2 0 0
3 2 2
2 0 3
1 0 2
2 3 0
1 2 1
10 2
2 1 0
2 1 1
1 1 0
1 1 1
2 2 2
2 2 0
2 0 2
0 0 0
2 2 1
0 0 1
10 3
0 0 0
0 1 2
0 0 1
2 0 0
2 2 2
1 0 0
0 1 1
0 2 0
0 2 1
0 0 2
10 3
1 2 2
0 2 2
0 1 0
0 2 1
2 2 0
2 2 2
1 2 0
0 0 2
2 1 1
0 1 2
10 2
1 1 2
3 0 1
1 3 0
2 3 1
3 2 0
1 0 0
1 2 1
1 1 3
2 1 0
0 2 0
10 8
1 1 2
0 0 1
1 2 1
2 2 0
2 0 0
0 0 2
2 1 0
2 1 2
0 2 2
2 0 1
10 4
0 0 2
0 2 1
1 0 2
0 1 2
2 1 1
0 0 1
1 1 2
2 2 0
1 2 1
2 2 2
10 5
3 3 2
0 3 2
0 2 0
3 1 3
1 0 1
1 3 1
0 0 3
0 1 1
3 2 1
2 1 3
10 8
2 1 1
2 1 2
1 1 2
2 2 2
0 2 1
2 0 0
1 2 0
1 0 2
1 1 1
0 0 2
10 8
1 1 2
0 2 1
2 0 1
0 1 2
1 0 1
0 0 0
2 0 0
1 0 2
0 0 2
2 2 2
10 5
1 0 1
2 2 0
2 1 2
2 1 0
1 2 0
0 2 1
0 1 1
1 2 2
1 0 0
1 1 0
10 7
0 2 2
0 0 2
2 2 1
1 0 0
1 1 0
1 1 2
2 0 0
2 2 0
2 0 2
2 1 1
10 8
2 2 1
1 1 0
1 2 0
2 1 1
0 2 2
2 0 1
2 0 2
2 1 2
1 0 0
1 0 1
10 4
1 2 0
2 2 1
1 1 0
2 1 2
0 0 1
2 2 0
0 1 1
2 1 1
0 1 0
1 1 1
10 9
0 1 2
0 0 0
1 0 1
1 1 2
2 0 1
1 0 0
2 2 2
0 1 1
2 1 0
2 0 0
10 4
2 2 0
0 1 0
0 2 0
1 0 1
2 2 2
0 2 1
1 0 2
0 1 2
1 1 1
1 2 2
10 4
2 1 3
0 3 0
0 0 2
2 0 3
2 2 1
0 2 1
0 2 2
2 2 3
0 1 2
1 3 3
10 2
0 1 2
1 0 0
2 2 2
1 1 1
1 2 2
1 2 1
0 2 0
0 1 1
2 0 1
1 1 0
10 8
2 2 1
1 2 2
2 2 2
1 1 1
1 0 0
2 1 0
0 2 1
1 1 0
0 0 1
0 0 0
10 7
0 1 0
3 0 2
3 3 2
1 2 1
1 0 0
2 2 1
3 0 1
2 0 0
0 3 1
2 0 1
10 7
1 0 2
2 2 2
2 3 2
3 2 1
1 2 2
0 3 2
3 2 0
2 0 3
3 1 1
1 3 1
10 6
1 3 2
1 0 3
1 0 2
3 1 1
3 2 2
0 2 3
2 1 0
2 0 0
3 2 3
3 0 2
10 5
0 3 1
1 0 0
3 0 0
1 0 1
0 2 0
0 1 3
1 1 1
2 1 2
2 0 3
1 2 1
10 3
0 0 0
0 2 2
0 1 0
2 2 0
1 0 2
1 2 2
1 2 1
0 0 2
2 0 1
2 1 0
10 2
0 2 1
0 1 2
2 1 0
0 2 2
0 1 0
0 0 1
1 1 1
2 1 2
0 0 2
0 0 0
10 2
2 0 1
1 0 0
0 2 1
1 2 0
0 1 1
2 2 0
1 2 1
2 1 1
1 0 2
2 1 0
10 7
1 1 2
2 2 0
0 2 2
1 2 1
2 2 1
2 1 1
2 0 0
1 0 1
0 0 1
2 1 2
10 3
2 0 2
0 0 2
1 0 2
0 1 0
0 2 0
0 0 0
2 2 1
2 0 1
1 1 1
1 1 2
10 4
2 1 1
1 0 2
0 1 0
0 2 0
1 2 0
2 1 2
1 1 1
2 2 2
0 2 2
1 2 1
10 6
1 1 1
2 0 2
0 1 2
0 2 2
1 0 1
0 0 0
2 2 1
1 2 2
2 0 1
1 1 2
10 9
0 2 0
0 0 2
1 0 0
1 1 0
1 2 0
0 0 0
2 1 1
1 2 1
0 1 1
0 1 0
10 8
2 0 0
1 1 2
3 0 2
2 3 0
0 0 2
3 3 1
2 1 3
1 2 0
0 1 3
3 2 1
10 3
0 0 3
0 1 3
3 1 3
2 2 3
3 2 1
0 2 0
2 3 3
1 1 3
2 3 1
2 1 1
10 7
0 0 1
0 0 2
1 2 1
2 0 1
0 0 0
1 0 2
0 1 0
0 1 2
2 1 1
0 1 1
10 9
1 1 1
0 0 0
0 2 2
1 2 2
2 0 1
0 0 2
1 1 2
2 1 0
0 0 1
1 1 0
10 7
0 0 1
1 0 1
1 0 2
2 1 0
2 1 1
1 1 2
0 1 2
0 2 0
2 1 2
2 2 2
10 9
0 2 1
0 0 0
1 1 1
0 1 0
2 2 2
2 0 0
1 2 0
1 0 0
0 1 1
2 1 1
10 8
1 3 0
2 3 0
0 3 1
2 3 1
2 2 3
2 0 1
3 2 3
0 3 3
3 3 2
2 1 0
10 4
0 0 2
0 0 0
1 0 1
3 3 0
1 3 1
3 1 0
1 0 2
0 2 2
2 1 0
3 2 0
10 6
0 1 0
2 1 2
1 0 1
1 2 0
1 0 2
1 1 1
1 2 2
2 1 0
2 2 2
0 0 1
10 9
1 2 2
2 2 0
1 1 0
0 0 0
2 1 0
1 2 0
0 1 0
2 2 2
0 1 1
0 2 0
10 2
2 0 0
2 0 1
3 0 1
3 0 3
1 2 0
3 0 0
0 1 1
0 3 0
2 2 2
3 3 2
10 9
0 1 0
2 2 0
0 0 0
1 2 0
0 0 1
1 1 0
2 0 1
2 0 0
0 1 2
1 1 1
10 9
2 1 1
1 1 1
1 1 0
3 3 0
2 1 2
3 3 3
3 2 0
2 2 1
2 3 3
1 0 0
10 2
1 0 0
1 3 3
2 0 0
0 1 3
3 3 1
1 1 0
0 1 1
2 2 3
2 2 0
1 2 1
10 6
3 1 1
2 1 2
0 1 3
2 3 0
0 0 2
1 0 0
0 1 1
3 2 3
1 0 2
3 0 0
10 3
2 0 0
2 2 1
3 3 0
2 1 2
3 0 1
0 1 0
0 3 3
1 2 1
1 0 3
2 3 2
10 9
3 2 3
3 3 1
3 3 0
0 1 3
0 0 2
3 1 2
1 0 3
2 1 2
2 0 1
1 1 2
10 2
1 0 0
2 2 1
3 3 3
1 1 3
2 2 2
0 0 0
3 3 2
3 2 1
3 3 1
2 2 3
10 2
2 0 1
2 0 0
0 1 2
0 1 0
2 1 2
0 2 1
2 1 1
2 2 2
0 0 0
1 2 1
10 9
0 1 0
3 3 3
3 0 2
0 3 0
1 3 3
3 2 1
2 2 3
2 3 2
0 1 1
2 0 1
10 6
2 2 1
0 2 1
0 0 0
0 1 1
0 2 2
2 2 0
0 0 1
2 0 2
2 0 0
0 1 0
10 8
0 1 1
1 0 2
0 2 2
1 2 2
0 1 2
0 2 1
2 2 1
1 2 1
2 2 0
2 0 2
10 9
0 3 1
1 0 2
3 1 2
2 0 0
3 3 2
3 3 0
0 1 2
2 2 3
3 3 3
2 3 1
10 7
2 2 0
0 1 0
1 1 0
0 2 1
2 1 1
1 2 0
2 1 0
0 0 2
1 0 0
0 0 0
10 2
0 1 1
1 0 2
0 0 0
0 2 2
2 0 2
1 2 0
0 2 0
1 1 0
0 0 2
2 2 2
10 9
2 0 1
2 2 0
1 2 1
0 0 2
1 2 2
1 2 0
2 0 2
2 2 1
0 2 0
0 1 2
10 2
1 2 2
2 1 2
1 0 0
1 1 2
0 1 2
0 0 0
2 2 1
0 1 0
1 2 0
1 1 1
10 6
2 1 2
1 0 1
1 1 1
0 1 0
2 1 0
0 0 2
2 0 1
1 1 2
2 1 1
0 2 1
10 9
2 3 1
1 2 3
0 3 1
0 2 2
1 0 2
1 0 3
2 3 2
1 1 2
3 3 0
0 1 2
10 5
2 1 0
1 2 1
2 0 1
1 1 0
2 1 1
2 2 0
1 0 1
1 0 0
0 0 1
2 2 2
10 2
3 3 2
2 2 1
1 3 2
3 2 1
1 3 3
0 1 3
1 0 2
0 0 3
2 1 2
2 0 2
10 3
0 2 1
3 2 2
1 3 1
3 1 0
3 3 0
0 1 1
1 2 0
1 2 3
2 1 3
1 0 2
10 8
2 0 1
2 1 1
3 1 0
2 3 1
0 1 0
3 2 3
1 2 2
1 0 1
1 1 2
1 2 0
10 8
3 3 2
2 1 1
0 1 3
3 2 1
0 2 1
1 0 0
1 1 3
0 3 3
1 1 0
1 2 1
10 8
3 3 3
3 1 2
0 0 0
0 2 3
2 0 1
1 2 3
1 0 3
0 0 3
3 1 0
2 2 1
10 5
1 0 0
0 1 0
2 2 1
0 0 2
2 0 1
0 2 0
1 0 2
2 2 0
1 2 1
1 2 2
10 3
1 1 1
0 0 1
0 0 0
1 2 0
0 1 1
0 2 1
1 1 2
2 1 1
1 1 0
2 0 0
10 7
1 0 0
2 1 3
1 3 1
2 2 2
0 0 0
2 0 0
2 1 1
0 2 3
1 3 2
2 1 0
10 5
1 0 1
3 3 3
2 2 2
0 2 0
1 3 0
3 3 1
2 3 2
0 1 3
3 1 1
1 3 1
10 8
1 3 1
0 0 1
0 1 1
1 0 1
0 1 3
2 2 2
2 1 0
2 1 1
0 2 2
1 2 3
10 2
2 0 1
0 2 3
2 3 2
0 2 1
0 2 0
0 1 1
0 3 2
1 0 3
3 2 2
3 0 3
10 9
1 2 2
2 1 2
2 0 2
2 0 1
2 1 0
0 0 2
2 2 0
1 0 1
0 2 2
0 2 0
10 4
2 2 2
0 1 1
0 1 0
2 1 2
1 1 1
0 1 2
2 2 1
0 2 1
2 0 1
1 1 0
10 3
2 2 2
1 2 2
2 2 0
2 0 2
0 1 1
0 0 0
2 1 0
1 1 0
0 0 1
1 0 1
10 2
2 0 2
2 2 1
0 2 0
0 0 0
1 0 1
1 0 2
1 0 0
0 1 0
1 2 2
2 2 2
10 5
0 3 0
0 1 1
1 3 2
1 0 2
3 2 2
0 2 2
2 1 1
1 0 0
3 0 2
3 1 2
10 5
3 3 0
3 2 0
0 2 2
1 0 2
2 2 1
3 2 1
0 3 1
3 1 3
2 0 3
1 3 0
10 8
1 2 1
0 2 0
0 3 0
3 0 0
1 3 2
0 0 0
0 1 3
1 2 0
0 3 2
3 1 2
10 9
2 1 2
0 1 1
1 2 1
0 2 1
0 0 2
1 0 0
0 0 0
1 1 2
0 2 0
1 1 0
10 7
2 3 3
0 1 3
3 0 0
2 2 2
3 1 3
3 3 1
0 0 3
2 3 0
1 1 2
1 0 0
10 9
1 0 1
1 1 1
0 2 1
2 2 2
2 1 1
2 2 0
0 0 1
1 0 0
1 2 1
1 1 0
10 9
1 0 1
0 1 1
1 0 2
1 2 1
2 1 0
0 1 2
0 2 0
1 1 1
2 1 2
0 0 1
10 6
1 3 1
1 2 3
1 1 1
0 1 1
3 0 0
2 2 0
3 0 2
1 3 3
3 2 2
3 3 2
10 6
2 3 2
3 1 0
1 3 2
1 3 0
3 3 2
1 2 1
0 0 1
2 2 0
2 1 0
3 2 2
10 8
1 2 2
0 1 1
1 1 0
2 2 2
2 2 0
2 1 2
2 1 1
0 2 2
0 0 0
0 0 1
10 4
0 3 2
3 2 0
1 2 1
2 3 2
2 3 1
0 1 1
1 3 0
0 2 0
1 1 1
1 2 3
10 8
0 1 2
1 1 1
0 1 0
1 2 1
2 2 2
1 2 2
0 2 0
2 1 0
0 0 1
2 2 0
10 4
1 1 2
3 2 0
2 2 3
0 3 2
1 1 3
1 2 3
1 0 2
2 0 1
1 2 2
3 0 1
10 2
3 1 3
1 0 2
2 0 1
2 2 2
0 2 2
3 1 1
1 0 1
0 3 0
0 1 0
0 1 1
10 5
0 1 2
1 1 1
2 1 0
2 2 0
2 1 2
0 0 0
2 0 1
1 2 2
1 0 2
2 2 2
10 5
0 2 1
0 1 2
3 0 0
0 2 2
3 3 1
2 0 1
0 2 0
3 2 0
2 3 1
0 2 3
10 5
3 0 1
0 3 3
1 0 0
3 2 1
0 3 1
0 0 1
2 0 2
2 3 1
2 3 3
3 2 0
10 5
3 2 3
3 2 0
2 3 2
3 0 1
0 0 1
0 2 3
2 3 3
3 1 1
0 0 2
1 1 2
10 9
1 1 0
1 2 2
2 2 2
2 1 0
0 1 1
0 0 1
1 0 1
1 0 3
0 0 0
2 1 2
10 4
2 1 0
1 0 1
0 1 0
1 0 0
2 0 1
1 0 2
1 1 2
0 2 0
0 0 0
2 2 2
10 5
0 1 0
0 0 0
1 1 2
1 1 0
0 0 2
1 0 0
0 2 0
1 2 1
2 0 0
2 1 0
10 8
0 1 1
0 0 0
2 1 1
1 1 2
0 2 1
2 0 1
1 1 1
1 0 2
0 0 1
2 0 0
10 2
2 0 1
1 3 3
0 1 1
3 0 1
2 1 0
1 1 3
0 2 1
0 1 3
0 3 1
1 1 2
10 2
0 0 2
1 2 2
1 0 1
0 1 3
2 0 0
3 2 1
2 1 0
0 0 3
3 3 3
3 3 2
10 6
2 2 1
0 0 0
1 1 0
1 1 1
0 1 1
0 1 2
1 2 1
0 1 0
1 0 0
2 2 2
10 3
2 0 2
1 0 2
0 1 0
0 1 2
0 2 0
1 0 0
2 0 1
2 2 1
0 2 1
1 2 1
10 4
0 0 2
1 0 2
0 1 0
0 0 1
1 2 2
2 0 0
2 0 1
2 1 1
2 2 1
1 1 2
10 4
0 2 0
2 1 0
3 1 3
1 3 1
0 2 1
0 0 3
3 3 1
2 2 2
1 3 2
2 2 3
10 6
0 1 2
1 1 0
1 1 1
2 1 0
2 0 0
0 0 0
0 0 1
2 2 0
1 0 2
1 1 2
10 6
0 1 1
1 1 2
1 0 0
0 0 2
2 1 1
2 1 2
2 0 0
2 0 1
0 2 2
0 0 1
10 2
0 0 0
2 0 1
2 2 0
1 1 2
1 2 2
2 1 2
2 0 2
2 2 1
0 2 0
1 0 0
10 2
2 0 2
1 1 1
0 2 2
1 2 2
2 1 0
0 0 0
2 2 1
0 1 0
0 1 2
0 2 1
10 5
0 1 1
0 0 2
0 2 0
2 0 0
1 2 0
0 2 2
1 0 2
2 2 1
1 1 1
2 0 2
10 3
2 2 0
0 0 2
2 2 1
2 2 2
3 3 2
0 3 3
0 3 0
1 1 0
0 2 3
2 0 2
10 3
2 3 0
0 0 2
1 3 2
1 1 2
3 2 0
1 1 0
0 1 2
0 3 0
2 1 1
2 3 1
10 7
2 0 0
0 1 1
2 0 1
1 2 2
0 2 2
1 0 2
2 2 1
1 2 1
2 0 2
1 2 0
10 3
0 2 0
1 1 0
0 0 2
2 2 2
0 1 2
0 0 0
1 2 0
0 1 1
0 1 0
1 0 2
10 3
0 1 1
2 1 0
0 0 2
2 2 0
0 1 2
1 1 1
1 2 0
1 0 0
2 2 1
2 0 0
10 2
0 1 1
1 0 2
1 0 1
1 2 1
1 2 2
1 2 0
2 2 1
0 0 1
0 0 2
2 2 0
10 6
3 1 1
0 2 1
1 2 0
2 3 3
0 3 1
2 1 0
0 3 3
1 3 2
2 0 1
0 2 2
10 9
1 2 1
2 2 2
1 1 2
0 2 1
2 2 1
0 0 0
0 0 1
2 0 2
0 1 2
2 0 0
10 9
1 0 2
1 2 1
1 2 0
2 1 1
1 1 1
1 2 2
2 0 1
0 1 2
2 0 2
2 2 1
10 2
0 3 3
0 3 0
2 1 0
0 1 2
0 2 3
1 3 3
0 3 1
0 0 3
1 3 1
3 2 0
10 3
3 2 1
0 2 2
3 0 0
2 3 1
2 3 0
1 0 3
3 2 2
2 1 3
2 2 3
3 3 1
10 7
0 2 2
1 2 1
0 3 0
1 0 1
2 0 0
3 0 3
1 0 3
3 1 0
3 3 1
2 1 2
10 9
0 0 1
1 1 2
1 0 1
1 1 1
1 2 0
0 2 2
2 1 0
2 2 0
2 2 1
1 2 1
10 5
2 1 0
0 2 1
1 2 2
1 1 2
1 2 1
1 0 1
2 0 2
0 1 2
2 0 0
0 0 0
10 5
1 2 3
3 1 1
3 0 0
0 0 3
2 1 0
2 2 3
3 3 0
1 0 2
1 2 0
2 3 1
10 4
0 2 2
2 0 2
1 1 2
0 0 0
1 0 2
2 1 2
0 0 2
1 0 0
2 1 0
1 0 1
10 8
3 3 2
1 0 1
2 2 1
3 2 2
1 0 2
2 0 0
0 1 2
2 2 0
0 3 0
3 1 0
10 4
2 1 1
1 1 1
2 0 0
2 1 0
0 2 0
0 0 1
0 1 1
1 0 0
0 2 2
1 2 1
10 7
1 0 0
1 1 1
1 2 1
2 2 1
0 0 1
2 1 1
0 0 2
2 0 2
2 0 1
1 1 0
10 8
2 3 3
2 1 2
2 0 3
1 2 3
3 1 2
1 3 1
0 2 0
3 1 1
3 3 3
1 1 2
10 9
3 1 2
3 0 1
0 1 0
1 0 2
1 2 2
0 3 3
3 3 3
3 2 1
0 2 3
1 1 3
10 7
1 0 2
2 0 0
1 0 0
0 1 1
1 1 0
0 1 2
0 0 0
0 2 2
1 2 2
0 2 0
10 2
2 0 0
2 1 2
0 0 1
0 2 0
0 1 0
1 0 1
1 0 0
2 0 1
1 1 0
2 1 0
10 3
2 2 2
2 1 2
1 0 2
2 0 0
2 1 1
1 1 1
1 0 1
1 1 2
2 0 2
0 0 0
10 2
1 1 1
2 0 1
1 2 2
0 2 2
2 2 1
0 1 0
1 0 1
0 1 1
2 0 2
2 2 2
10 4
1 2 0
0 1 1
3 0 1
1 2 1
0 1 2
0 1 3
1 3 2
2 3 0
0 3 0
3 3 2
10 3
2 2 1
0 1 1
0 1 2
2 0 1
0 0 0
2 1 1
1 2 1
2 0 0
0 2 0
1 0 2
10 8
0 0 2
0 2 1
0 2 0
1 2 1
2 1 0
1 0 1
0 1 1
1 0 2
1 0 0
2 2 2
10 8
2 1 0
0 1 1
2 0 2
2 1 2
2 0 0
0 0 1
2 2 1
2 0 1
1 1 2
1 0 2
10 2
0 1 1
1 2 1
0 2 2
1 0 1
0 1 0
1 1 0
2 0 1
1 0 0
2 0 0
0 0 2
10 9
1 2 0
2 2 2
2 1 0
0 1 2
0 0 0
0 2 1
1 0 0
1 2 1
2 2 0
2 0 1
10 5
2 2 0
2 2 1
1 0 2
1 1 0
1 2 0
1 0 0
0 0 2
2 2 2
0 0 1
1 2 1
10 5
1 1 2
2 2 2
2 1 2
2 0 2
0 2 1
0 1 0
2 2 1
2 0 0
2 1 0
1 0 1
10 6
1 3 0
3 2 2
1 0 3
1 3 3
1 1 1
3 1 3
0 2 2
1 0 2
2 0 0
2 1 2
10 5
1 0 1
2 2 0
1 2 0
1 1 1
2 1 2
1 1 0
0 2 0
0 2 1
2 0 1
0 0 0
10 7
1 3 1
2 2 0
0 0 2
1 1 0
0 0 0
0 0 1
0 2 3
0 1 0
3 2 1
1 0 0
10 2
2 0 2
0 2 1
1 0 1
1 1 1
2 2 2
1 0 2
2 1 1
1 1 0
1 2 1
0 1 1
10 8
2 0 0
2 2 0
0 0 0
2 1 1
1 2 2
2 2 2
0 2 2
0 2 1
1 1 0
0 1 2
10 3
3 1 0
0 0 0
0 3 2
0 0 3
3 3 0
0 2 0
3 0 3
0 1 0
2 1 1
2 0 1
10 7
1 2 1
3 0 0
3 2 1
0 2 3
2 2 3
3 2 2
2 2 1
3 2 0
2 1 3
0 3 1
10 8
2 2 0
2 1 0
1 1 1
2 0 0
2 0 2
2 2 1
0 2 2
2 2 2
1 2 1
1 2 0
10 5
1 1 2
1 3 3
3 0 1
1 3 1
0 3 1
2 1 3
3 2 0
3 2 2
0 0 3
0 2 3
10 6
2 2 3
1 0 3
2 3 1
0 0 3
2 3 0
3 0 0
2 0 0
1 2 1
2 0 2
0 1 0
10 9
1 0 0
2 1 2
2 2 1
2 0 1
2 0 2
2 2 0
0 0 2
1 2 0
1 1 2
1 2 1
10 3
1 1 2
0 1 0
1 2 1
1 2 2
2 2 0
2 2 2
0 1 2
2 0 0
2 1 2
1 0 2
10 5
2 1 2
0 0 2
0 2 2
2 1 0
2 2 1
1 0 0
0 0 1
2 0 0
0 2 1
0 0 0
10 3
0 3 0
3 3 3
3 0 3
3 0 0
1 2 1
2 2 1
1 2 0
3 3 2
2 1 0
3 1 0
10 9
3 0 1
0 3 1
1 1 1
3 3 2
1 1 3
0 2 2
3 3 3
2 3 2
2 3 1
2 0 3
10 7
2 0 1
0 1 0
0 2 0
2 1 0
1 1 2
2 1 1
0 1 2
2 0 0
2 1 2
1 1 0
10 9
1 0 1
0 0 0
2 2 2
1 1 0
1 2 1
0 2 2
2 2 1
2 2 0
2 1 1
0 1 2
10 9
2 2 2
0 0 0
2 1 1
2 2 1
0 2 0
2 0 0
2 0 1
0 2 1
0 2 2
0 1 0
10 5
3 3 0
0 2 1
2 2 0
1 1 1
0 2 0
2 2 2
3 2 1
2 3 3
1 1 3
2 0 1
10 5
2 2 1
0 3 1
1 1 0
1 2 1
2 2 3
2 2 0
3 3 1
3 0 2
2 3 2
3 1 3
10 2
2 0 3
2 1 2
0 3 2
0 2 3
3 3 0
3 2 3
1 3 1
3 2 1
1 2 0
2 1 1
10 4
1 2 2
1 0 0
2 0 1
2 1 0
0 1 2
0 2 0
1 1 2
2 1 2
0 0 0
0 2 1
10 4
1 0 1
0 2 3
2 1 2
0 0 2
1 0 0
3 1 0
3 3 1
2 1 3
3 0 3
0 2 0
10 7
2 1 3
1 0 3
1 3 2
0 2 1
3 1 1
0 3 1
3 2 1
0 1 1
1 3 0
3 3 0
10 3
3 2 1
3 3 3
3 0 3
0 3 3
3 0 1
0 2 1
2 0 3
0 1 1
1 3 2
2 0 1
10 8
3 2 0
2 2 2
0 0 1
1 0 1
2 0 0
3 2 3
2 1 3
1 3 0
2 3 0
0 2 3
10 6
1 3 2
2 1 2
1 2 1
2 0 2
1 0 3
1 2 0
2 0 0
3 2 1
1 3 3
3 0 2
10 6
0 1 2
0 2 2
2 1 2
1 1 2
0 2 0
2 1 1
2 2 2
0 0 0
2 0 0
1 0 2
10 3
1 2 0
0 0 0
3 0 2
2 0 0
0 3 1
3 0 0
2 0 1
0 2 2
3 1 1
1 1 3
10 3
3 3 1
1 0 1
0 2 1
0 0 3
1 0 2
1 3 3
3 3 3
1 2 3
0 3 1
2 1 2
10 2
1 1 0
2 2 2
2 1 2
1 2 0
1 1 1
0 1 2
0 0 0
1 0 2
1 0 0
0 0 1
10 7
0 0 3
1 3 2
3 3 1
2 0 0
0 2 3
0 0 0
2 1 0
3 0 1
3 3 3
0 3 3
10 8
3 3 3
2 0 2
2 1 0
0 1 1
1 3 2
2 3 0
1 3 1
2 2 0
2 0 3
1 1 0
10 3
3 0 3
1 1 3
2 2 0
2 3 3
0 3 2
1 1 1
0 2 1
0 0 0
3 1 2
1 3 2
10 6
0 0 0
2 1 3
0 3 2
0 2 3
1 0 3
2 0 3
2 3 0
0 0 2
0 1 2
0 1 3
10 9
0 3 2
2 1 0
3 1 3
1 2 3
3 2 1
2 2 0
2 1 1
3 2 2
0 0 2
0 1 2
10 4
0 2 1
1 1 1
1 0 1
1 2 0
1 1 0
2 1 2
1 0 2
0 2 0
2 2 1
2 0 2
10 4
3 3 1
2 2 1
1 1 2
2 0 1
0 1 2
1 2 0
2 3 0
3 3 3
2 3 2
1 1 3
10 9
3 3 2
2 3 3
1 2 0
3 3 0
1 2 1
1 2 2
0 3 3
2 0 3
0 3 2
2 2 3
10 8
2 2 2
2 1 0
0 1 0
2 0 2
0 0 2
0 0 0
1 2 2
2 2 1
1 2 1
2 0 1
10 4
0 0 0
2 2 1
1 0 0
1 0 1
0 2 1
1 2 1
0 0 1
2 0 0
0 1 0
2 2 0
10 4
0 2 0
2 1 1
1 2 1
2 0 0
0 1 0
1 1 0
2 0 1
2 1 2
0 0 1
1 0 1
10 2
2 0 2
2 3 3
1 2 0
0 3 0
1 2 2
1 1 2
0 2 2
0 1 0
2 3 2
0 3 1
10 2
0 1 3
0 2 3
0 1 1
3 2 2
0 2 0
1 0 1
2 1 1
3 3 1
0 3 2
3 0 2
10 8
1 0 3
3 1 2
0 3 2
3 2 1
0 3 3
2 3 2
2 0 2
1 3 3
2 3 0
3 2 2
10 6
2 3 3
1 2 0
0 0 3
0 1 2
0 1 3
0 2 0
3 2 1
1 3 2
2 0 0
0 2 1
10 3
0 0 2
1 0 0
0 2 2
1 1 1
0 0 0
2 0 2
1 0 1
2 0 0
2 1 1
0 1 1
10 9
0 0 0
1 0 2
0 1 3
3 2 1
2 0 0
2 1 0
1 1 2
3 1 0
2 3 0
3 3 1
10 7
3 1 3
0 2 1
3 3 3
2 3 2
0 0 1
1 1 1
0 2 3
3 3 2
2 3 1
0 0 0
10 3
0 1 1
1 0 1
0 3 2
3 3 3
2 0 0
2 0 1
3 3 1
3 1 3
1 3 3
0 0 2
10 5
1 2 0
0 0 1
1 0 1
0 0 0
2 0 2
2 1 1
2 2 2
2 1 0
2 2 1
0 2 2
10 6
0 0 0
2 2 1
2 2 0
2 1 1
0 1 2
2 0 0
1 2 1
2 1 2
0 1 1
2 0 1
10 8
2 2 1
0 0 2
0 1 2
2 0 0
0 1 1
1 1 1
0 1 0
2 1 0
0 0 1
2 2 2
10 2
0 3 0
1 1 0
3 2 1
0 0 3
3 2 3
0 0 1
3 2 0
3 0 2
3 2 2
0 1 2
10 6
2 2 2
1 2 3
2 1 1
3 1 2
0 1 1
0 1 2
0 2 2
2 3 1
2 0 3
0 2 1
10 7
1 0 2
1 2 1
0 1 2
2 1 1
2 1 2
2 0 2
2 2 0
2 2 1
1 1 0
0 2 2
10 4
1 3 2
3 1 3
2 0 1
1 1 1
2 1 3
3 2 1
2 3 2
1 3 0
3 1 2
1 2 0
10 5
0 2 1
0 2 2
1 2 1
2 2 2
0 0 0
2 1 2
2 1 1
2 0 1
2 1 0
0 2 0
10 9
2 1 0
0 0 1
0 0 0
0 2 1
3 3 0
3 1 3
0 3 0
2 2 3
3 0 3
3 0 2
10 4
2 3 2
0 0 0
3 0 3
0 1 3
2 1 0
0 2 3
2 1 2
1 1 0
0 2 1
2 2 0
10 4
0 2 2
1 2 1
1 2 2
2 0 1
1 0 2
0 1 2
2 1 0
1 1 1
1 2 0
1 1 2
10 5
1 2 2
1 0 1
1 1 2
0 1 0
2 1 2
0 2 2
2 0 2
0 2 0
1 2 0
0 0 2
10 4
2 2 1
1 2 2
1 1 1
0 0 1
2 0 2
2 1 0
0 2 1
0 0 0
0 1 0
2 0 1
10 3
0 2 1
0 0 2
0 1 0
0 0 1
2 1 2
2 2 0
2 0 1
0 2 2
0 1 2
1 0 1
10 3
0 3 2
3 1 2
0 0 2
1 0 2
2 0 0
2 3 2
3 0 3
1 2 0
2 0 1
1 3 2
10 9
1 1 3
1 0 1
2 3 3
2 3 0
1 2 3
1 3 2
2 0 2
3 1 1
0 3 1
3 3 1
10 7
1 1 2
0 1 2
3 2 2
0 0 1
2 2 1
2 2 0
2 0 1
1 2 0
0 2 1
3 1 0
10 4
2 0 2
2 2 2
2 2 1
0 0 2
1 2 0
1 1 1
0 1 0
2 1 2
1 2 1
2 0 0
10 3
2 0 3
2 2 1
3 0 2
2 3 0
2 2 3
1 3 0
1 2 1
0 2 0
0 0 0
2 1 1
10 9
2 0 1
1 1 1
1 0 2
1 1 2
2 1 2
0 2 1
0 0 2
2 2 1
0 0 0
1 2 0
10 3
3 1 1
0 0 3
2 0 0
1 1 1
1 0 1
0 1 3
1 3 0
0 3 0
2 2 1
3 1 2
10 7
0 3 3
1 2 2
2 0 2
1 3 0
2 1 0
3 0 3
3 3 1
0 2 2
3 3 0
2 0 0
10 3
2 0 1
0 0 1
2 2 0
1 0 0
2 2 2
0 2 0
0 1 1
2 0 2
1 2 1
0 2 1
10 8
2 1 2
3 2 3
3 1 1
0 2 0
1 0 3
1 3 2
0 3 3
2 1 1
3 0 3
2 3 3
10 8
1 0 2
1 0 0
0 1 1
0 2 0
1 2 1
2 2 0
2 1 1
1 0 1
0 0 0
2 1 0
10 7
1 1 0
2 2 2
0 0 0
2 0 0
0 2 2
2 1 1
2 0 1
1 0 2
1 2 1
0 2 1
10 6
1 0 2
1 0 0
1 2 1
2 1 2
2 1 0
2 0 0
0 1 0
1 1 2
2 0 2
2 0 1
10 8
0 1 2
0 2 1
1 1 2
2 1 2
1 1 0
1 0 1
2 0 0
2 1 0
0 2 0
1 1 1
10 7
1 1 1
0 0 1
2 0 2
1 1 0
0 2 0
1 1 2
0 2 1
0 0 2
2 2 2
0 1 1
10 4
0 3 3
1 0 1
0 0 0
2 0 3
2 0 0
0 0 3
3 2 2
3 0 2
3 2 3
2 1 1
10 3
0 2 1
3 2 0
0 2 0
3 1 3
1 3 1
3 3 2
3 3 0
2 0 2
0 3 0
0 2 3
10 9
1 3 3
0 0 2
1 2 2
3 2 1
2 0 0
0 0 0
3 0 3
1 3 0
1 1 1
2 2 0
10 4
2 0 1
1 0 0
1 1 1
1 2 2
0 2 1
1 1 2
1 1 0
1 0 1
0 2 2
2 0 0
10 6
0 2 2
2 2 0
2 0 0
2 0 2
2 1 1
1 2 0
2 1 0
1 2 1
2 1 2
0 0 0
10 4
1 0 1
0 1 2
0 2 0
0 0 2
0 2 1
2 1 0
2 2 0
1 1 2
1 2 2
2 0 0
10 5
0 1 1
1 1 3
2 1 1
3 0 2
2 3 2
1 0 1
2 2 3
0 3 0
0 3 1
0 3 2
10 7
3 2 0
2 0 3
1 2 0
3 2 1
3 1 2
1 0 0
1 0 3
3 0 3
1 0 2
3 3 3
10 8
2 0 1
1 0 1
1 2 1
0 0 1
0 0 0
2 1 2
2 2 1
1 2 0
2 1 1
2 2 2
10 4
3 3 3
0 2 3
0 1 2
0 0 0
2 3 0
3 0 3
3 0 2
3 0 1
0 0 1
3 3 1
10 9
1 3 1
0 0 3
3 1 0
2 1 3
2 3 1
0 1 3
0 3 2
2 2 0
0 3 3
2 2 1
10 9
0 0 0
0 2 2
1 2 0
1 2 1
2 1 1
2 0 1
1 1 0
1 0 0
1 0 1
2 2 1
10 7
2 0 0
2 0 1
0 2 1
0 0 0
1 1 1
2 2 0
1 1 2
0 0 1
1 2 2
1 2 1
10 8
0 2 2
3 1 2
2 0 3
0 2 1
0 2 0
0 3 2
3 0 2
1 2 2
2 0 0
3 0 1
10 6
3 3 0
3 2 3
1 1 0
1 2 2
1 1 1
3 2 1
2 0 2
1 0 2
3 0 2
0 1 3
10 9
2 2 1
1 1 2
1 1 0
1 0 0
2 2 2
2 0 1
0 1 0
1 1 1
0 0 1
0 1 1
10 3
1 0 1
2 2 3
2 0 3
3 0 3
0 2 0
2 0 1
0 2 2
0 3 0
1 2 0
2 2 2
10 6
0 1 2
2 2 1
2 1 0
2 0 0
1 0 1
0 2 0
1 2 0
1 0 2
2 0 2
2 2 2
10 9
0 3 1
1 2 2
2 1 0
3 0 0
2 1 2
3 2 3
1 1 3
3 1 3
3 2 1
1 2 1
10 2
0 2 0
1 2 2
1 1 0
2 1 1
2 1 2
1 1 2
2 2 1
1 0 0
2 0 2
0 0 1
10 7
1 0 0
0 1 2
0 2 1
2 1 1
1 2 2
0 2 0
2 1 0
1 2 1
0 2 2
0 0 1
10 8
0 2 1
0 0 0
2 1 0
2 1 1
0 1 1
1 1 0
0 0 2
2 0 1
1 1 2
0 2 2
10 5
3 0 3
2 2 2
2 3 1
1 0 3
1 1 2
0 3 1
2 3 0
3 0 0
0 3 0
1 0 2
10 4
3 1 1
2 2 3
1 2 2
3 3 0
0 1 0
3 2 1
3 0 3
1 2 3
2 2 0
2 3 2
10 7
2 2 1
1 0 3
2 2 2
1 3 3
0 3 3
0 0 0
0 3 2
2 1 2
3 1 2
2 0 3
10 6
1 2 2
2 2 2
2 1 0
1 1 1
0 1 2
2 2 0
1 0 2
1 1 0
2 0 0
0 2 2
10 8
1 2 2
2 1 2
2 0 1
1 2 1
0 0 2
2 0 2
1 0 2
2 2 2
0 0 1
0 2 1
10 5
0 2 1
3 1 0
0 3 3
0 2 0
3 0 2
3 0 0
0 1 0
2 1 2
0 2 2
3 3 0
10 3
0 1 2
1 0 1
0 0 1
0 1 0
0 2 0
2 0 1
2 0 2
2 1 1
2 1 2
2 2 0
10 9
2 2 2
0 2 0
2 1 2
1 1 0
2 0 1
0 0 0
2 0 2
2 0 0
1 1 1
2 1 0
10 5
2 3 0
0 1 2
1 1 2
2 3 3
0 0 0
3 2 2
0 1 0
3 3 3
3 0 2
1 3 2
10 8
3 3 1
0 0 3
0 2 2
1 2 2
1 1 3
1 0 3
1 3 3
3 3 3
3 3 0
3 1 0
10 8
0 1 1
1 1 1
2 1 2
1 0 0
2 2 1
2 2 0
2 0 1
0 0 1
0 1 2
1 2 0
10 4
3 3 0
3 2 2
3 2 1
3 2 0
0 1 3
3 0 2
1 2 1
1 0 0
2 3 2
2 0 2
10 8
2 2 2
1 2 1
2 0 2
0 0 1
2 0 0
1 0 1
2 2 0
0 1 1
0 0 2
2 2 1
10 3
0 2 0
0 2 2
1 0 0
1 2 1
2 1 0
2 0 2
0 1 1
2 1 1
0 0 2
0 1 0
10 9
1 2 1
1 0 0
2 0 0
0 1 1
2 1 2
1 1 2
1 1 1
0 1 2
1 2 2
2 0 2
10 2
0 3 0
2 0 0
1 0 1
3 0 0
1 1 2
0 0 0
2 2 1
0 3 2
2 0 2
3 2 2
10 7
0 2 3
2 2 2
1 1 1
0 3 0
3 2 3
3 2 1
2 3 3
3 0 0
3 0 2
3 1 3
10 3
1 0 3
2 3 2
1 3 2
3 3 0
1 0 1
2 2 2
1 2 2
2 0 1
3 3 3
0 1 0
10 9
1 2 3
0 2 3
3 3 2
2 0 2
0 0 0
2 3 2
0 3 1
1 3 0
1 0 0
0 1 2
10 2
2 3 0
0 2 0
0 0 3
0 1 1
1 3 0
1 1 2
2 0 2
0 0 1
2 2 2
2 3 3
10 4
0 2 2
2 1 2
2 2 1
2 1 0
0 0 1
2 2 2
2 0 1
0 0 2
1 2 2
1 1 0
10 6
1 1 1
0 0 2
3 3 3
1 0 2
2 1 2
0 3 0
3 1 2
1 3 0
0 3 3
3 2 2
10 8
1 0 0
0 2 2
0 1 1
0 0 1
0 2 0
1 1 2
2 2 1
0 0 0
2 1 2
0 2 1
10 6
1 1 2
1 1 0
2 1 2
0 0 1
0 2 2
0 2 0
1 2 1
1 2 2
2 1 1
2 2 2
10 3
3 0 0
3 3 3
1 1 3
2 3 3
3 1 1
1 3 0
1 1 1
0 1 1
1 1 2
2 1 1
10 6
1 3 1
1 2 0
3 3 3
0 1 3
1 2 1
2 3 0
3 0 1
3 0 0
1 2 2
3 0 2
10 3
0 3 2
2 2 2
1 3 0
3 2 1
0 1 0
3 2 3
1 2 0
1 2 2
3 3 2
0 0 1
10 4
3 3 3
1 0 0
3 1 3
1 3 0
0 0 1
2 1 0
2 1 1
3 3 0
2 1 3
1 0 3
10 7
0 3 2
3 3 0
1 1 1
0 2 1
0 0 3
2 0 3
3 1 0
3 0 0
1 3 0
2 0 0
10 3
2 2 0
0 0 2
1 1 1
0 0 0
1 2 2
0 1 1
1 0 2
1 0 1
1 2 0
1 0 0
10 6
2 0 2
2 3 3
2 0 1
3 0 3
1 3 2
1 2 3
0 1 1
3 2 2
0 0 1
3 3 2
10 6
1 0 1
2 2 1
0 1 1
0 0 0
1 2 2
0 1 0
2 1 1
2 1 0
1 2 0
1 2 1
10 7
3 0 2
0 0 3
2 3 2
3 0 0
2 2 3
3 2 2
2 3 1
2 3 0
2 1 1
3 1 2
10 9
2 1 0
0 2 1
2 0 1
0 1 1
0 0 0
1 2 1
1 1 1
2 1 2
1 0 2
0 0 2
10 8
2 1 1
1 2 1
2 2 1
2 2 2
1 1 0
1 0 0
0 2 0
2 1 0
2 2 0
2 0 2
10 8
3 3 0
2 1 1
0 3 3
3 3 2
0 2 2
3 0 1
2 2 0
0 1 2
3 0 0
1 3 2
10 4
2 3 0
1 2 2
2 0 2
1 2 3
2 2 1
0 1 3
2 2 3
1 3 0
1 3 1
2 0 1
10 6
1 2 2
1 1 1
1 1 0
1 0 1
2 1 2
0 0 1
2 2 0
0 1 2
2 2 1
0 2 1
10 6
1 0 0
0 0 2
2 3 3
3 3 2
2 0 0
3 2 2
1 2 2
0 2 0
2 3 1
1 2 0
10 2
2 2 1
1 2 3
1 0 2
1 3 1
1 3 2
0 1 0
2 3 2
2 1 2
2 1 0
1 0 1
10 4
2 0 1
2 0 2
0 1 2
0 1 0
1 2 0
1 0 1
1 0 0
0 2 2
1 1 0
0 0 1
10 3
2 1 3
2 0 3
3 1 1
3 0 1
0 3 3
1 1 0
2 1 0
0 1 1
3 0 0
1 1 1
10 8
3 3 2
0 3 0
2 1 2
0 1 2
2 0 0
1 2 0
1 3 1
1 0 2
3 0 3
1 0 0
10 6
0 1 1
1 1 2
0 2 2
1 0 0
2 1 0
1 0 1
0 0 0
0 0 1
2 1 1
2 0 1
10 7
1 3 1
2 3 0
0 1 0
1 0 2
0 0 3
1 2 1
1 0 1
2 1 0
3 3 0
2 3 1
10 3
1 2 2
2 3 1
1 0 3
2 0 2
3 1 2
3 0 3
3 3 2
0 2 1
0 1 1
1 2 1
10 7
0 0 2
3 1 0
2 0 2
2 1 3
2 0 1
0 3 2
2 0 3
0 3 0
2 3 2
1 1 0
10 8
1 0 2
0 1 1
1 1 2
2 1 1
0 2 0
1 1 0
0 2 2
0 1 0
1 2 0
2 2 1
10 7
1 0 2
0 0 2
2 2 2
0 0 0
2 0 1
0 1 1
1 2 1
0 1 0
2 1 1
2 1 2
10 5
2 2 1
1 2 2
2 1 2
1 1 2
0 2 2
2 1 0
0 1 2
0 0 0
0 1 1
2 2 2
10 7
2 1 2
1 0 0
2 1 1
0 2 1
1 1 2
1 2 0
2 0 0
1 0 2
0 1 1
2 2 0
10 3
2 2 1
2 1 1
0 1 0
0 0 0
0 1 1
2 0 1
0 1 2
1 1 2
1 0 2
2 2 2
10 5
0 1 2
1 1 2
2 0 1
1 0 2
0 1 0
1 1 0
0 1 1
2 2 0
0 2 2
1 1 1
10 5
1 0 2
1 1 1
2 1 1
0 0 2
2 2 2
2 0 2
0 1 2
2 1 2
2 2 1
2 1 0
10 4
1 0 0
2 2 2
0 1 0
2 0 1
1 2 1
0 1 1
0 0 1
0 1 2
2 0 0
2 1 0
10 2
0 0 3
0 1 2
2 3 1
2 2 0
1 1 3
3 1 2
2 1 1
3 3 3
3 2 2
1 3 1
10 9
0 2 2
0 0 1
1 0 2
0 0 0
1 1 2
0 2 1
1 1 0
2 1 0
2 2 2
2 0 2
10 9
1 0 2
0 1 0
2 1 2
1 2 2
1 1 0
0 2 2
1 2 0
1 0 0
2 2 2
2 2 1
10 3
2 0 0
2 1 2
0 0 1
1 1 1
0 1 2
1 2 1
1 2 2
0 0 2
1 1 0
1 0 1
10 2
1 0 0
2 1 2
1 0 3
1 3 1
2 0 3
3 1 3
3 0 2
1 1 1
1 2 1
1 3 3
10 7
1 1 2
2 3 3
3 1 0
3 1 3
2 2 1
0 3 0
1 3 1
1 0 1
3 3 3
2 2 0
10 8
0 0 0
1 0 0
2 0 1
0 0 2
0 1 2
1 2 0
2 2 2
1 1 2
1 1 1
0 2 2
10 4
0 1 0
0 1 2
0 0 2
2 1 2
1 1 2
2 2 1
0 2 0
2 0 1
2 2 0
0 0 0
10 5
1 2 0
2 1 2
0 2 3
1 0 0
0 3 2
3 3 3
1 1 3
3 2 2
0 0 2
2 3 1
10 3
1 1 2
3 2 2
2 0 2
3 3 0
3 0 1
2 0 0
0 3 1
0 1 0
1 2 0
0 3 0
10 6
1 1 2
1 0 2
2 2 2
2 0 2
2 1 1
0 2 0
2 1 2
1 1 1
1 0 1
1 2 0
10 8
0 1 0
2 0 0
1 1 2
1 0 1
2 0 2
0 1 1
0 0 1
1 2 2
1 2 0
1 2 1
10 9
1 1 0
1 0 0
0 0 0
2 0 2
2 1 0
2 1 2
0 0 2
1 0 1
0 2 0
1 2 1
10 5
2 0 2
0 2 0
1 2 2
2 1 1
1 0 0
1 0 1
0 1 0
0 0 2
0 1 2
2 1 2
10 4
3 3 0
3 0 3
2 1 0
3 2 3
2 1 2
3 2 1
0 3 1
0 2 3
1 1 1
1 2 0
10 2
1 0 3
1 0 2
1 1 3
3 3 0
3 2 3
2 1 2
3 1 2
2 3 2
3 0 2
1 3 0
10 7
0 1 2
1 0 0
2 0 3
3 1 0
2 2 0
0 0 0
0 2 1
0 3 2
1 0 2
0 1 3
10 4
1 1 0
1 2 2
2 2 2
0 2 2
2 0 0
2 1 1
1 0 0
0 1 0
0 1 1
0 2 1
10 3
1 2 2
1 1 0
2 2 0
1 1 2
0 1 2
2 2 2
1 1 1
0 0 2
0 0 1
1 0 0
10 2
1 1 1
1 0 0
1 2 0
2 1 1
2 1 0
0 2 1
0 2 2
1 2 1
1 1 2
2 2 1
10 8
2 0 2
1 3 1
1 1 0
3 1 1
1 0 0
0 1 3
3 3 2
0 3 3
2 2 3
1 3 0
10 6
2 1 0
1 3 3
0 3 0
3 3 3
2 3 1
3 3 1
0 2 1
1 0 0
2 2 0
2 1 1
10 3
1 1 0
2 1 1
0 0 0
1 1 1
0 1 0
0 2 0
2 1 0
0 2 1
0 0 1
1 2 0
10 2
1 1 0
2 1 3
2 1 2
0 1 0
1 3 0
2 0 0
3 2 2
2 2 0
2 3 2
3 1 0
10 2
3 2 0
2 1 2
3 0 3
3 3 0
1 3 2
2 0 2
0 1 2
3 1 1
0 0 1
0 0 3
10 3
1 2 2
0 0 0
1 2 1
0 1 0
1 0 2
0 2 0
0 2 2
2 0 0
1 1 1
1 2 0
10 8
2 1 1
1 2 2
0 0 1
2 2 1
1 2 0
2 0 1
0 1 0
2 2 0
0 1 2
0 0 2
10 6
1 1 1
0 0 1
1 2 1
2 0 1
2 1 1
2 0 0
0 2 2
1 0 1
2 1 0
1 2 2
10 7
1 1 1
2 0 0
2 1 1
0 1 2
0 0 2
0 2 2
0 1 0
2 2 0
2 1 2
1 0 2
10 4
2 0 3
1 2 3
1 0 2
3 1 1
2 2 3
0 0 2
2 1 0
0 0 0
3 3 3
3 2 2
10 4
1 1 1
2 2 2
0 0 0
0 1 0
1 0 0
2 0 1
1 1 0
2 2 1
0 0 1
0 2 0
10 2
0 2 2
2 0 1
1 0 1
1 2 3
3 1 2
3 3 0
3 0 0
1 0 2
3 2 1
0 3 3
10 2
0 1 2
1 0 0
0 3 0
1 1 0
0 1 0
2 0 1
2 3 1
0 0 0
0 3 1
1 2 3
10 4
2 2 1
2 3 0
0 2 2
2 3 3
3 1 2
3 0 0
3 2 1
2 1 0
2 1 1
3 0 3
10 3
0 3 1
1 3 0
1 2 3
1 0 0
2 2 3
2 3 1
3 0 3
1 2 1
3 1 1
0 2 0
10 3
0 0 0
1 1 2
2 2 1
2 1 1
1 0 1
2 1 2
2 0 1
0 0 1
0 2 1
1 2 2
10 9
0 0 1
0 2 2
2 2 1
2 2 0
1 2 1
0 0 0
1 1 0
2 0 1
1 0 1
0 1 0
10 5
3 0 2
2 2 1
3 1 2
0 3 0
1 0 3
2 2 0
0 1 1
1 0 1
1 1 3
2 0 0
10 4
3 1 2
2 3 3
3 2 1
3 0 1
0 2 0
0 0 2
2 0 1
2 2 0
2 2 2
2 0 3
10 6
1 2 1
0 0 0
0 1 1
2 1 0
2 0 1
1 2 2
2 1 2
2 0 2
1 0 2
1 0 0
10 9
0 0 0
2 2 2
0 2 2
0 1 0
1 1 1
1 0 0
2 1 2
0 1 1
1 1 2
1 0 1
10 6
0 1 3
3 2 0
0 1 2
0 3 1
0 0 2
3 0 3
0 0 1
1 0 1
2 1 3
1 0 3
10 5
0 2 1
2 2 0
1 2 0
0 0 2
0 1 0
2 0 0
0 0 1
0 0 0
1 1 2
1 0 2
10 8
1 0 2
2 2 1
0 0 0
0 1 1
2 0 1
0 2 0
2 1 2
1 2 0
1 2 2
1 1 2
10 4
1 2 0
1 0 2
0 2 0
2 0 0
2 2 1
2 1 2
0 1 0
1 1 1
0 2 2
0 0 0
10 8
2 3 2
0 1 3
0 2 3
2 0 0
3 0 1
1 3 2
2 2 3
3 1 0
1 0 3
1 1 0
10 5
1 1 0
0 1 1
0 0 2
2 2 0
2 2 2
0 2 1
1 0 0
2 1 0
0 2 2
1 2 2
10 8
0 1 1
0 0 0
0 1 2
2 0 0
1 0 1
1 1 2
1 1 1
1 2 0
0 0 1
2 1 2
10 5
1 3 3
1 0 2
1 0 0
3 0 1
3 0 0
0 1 0
0 0 3
0 1 1
1 1 2
3 2 1
10 3
0 0 2
1 1 0
2 1 2
1 1 2
2 0 0
1 0 2
1 0 0
2 2 2
0 0 1
2 2 1
10 4
1 0 0
2 2 1
0 0 2
0 2 2
0 0 1
0 0 0
1 1 0
1 2 1
2 0 1
2 0 2
10 7
0 1 0
3 1 1
0 0 1
3 2 1
1 0 1
0 2 2
1 1 0
3 2 2
0 0 3
1 3 2
10 8
2 2 0
1 1 1
1 1 2
1 0 2
2 1 0
0 0 2
0 2 2
0 0 1
2 2 1
0 1 1
10 5
0 1 2
3 1 3
1 2 3
1 2 1
2 3 1
2 3 0
2 0 3
1 3 1
2 0 2
2 2 1
10 7
2 0 2
0 0 2
2 2 2
2 2 1
0 1 1
1 1 0
1 2 0
1 1 1
0 1 0
1 0 2
10 4
2 2 1
0 0 3
0 3 0
0 3 3
2 0 3
0 0 2
1 1 1
0 0 1
2 2 0
1 3 1
10 5
1 2 3
0 2 3
3 2 0
1 2 2
1 1 3
3 1 3
2 3 0
2 0 1
0 0 3
2 1 3
10 7
0 1 3
2 1 0
3 1 2
1 0 1
1 1 2
0 0 3
1 2 0
0 2 0
1 1 1
3 2 2
10 3
2 1 2
2 0 1
0 1 0
0 2 2
1 0 1
2 2 0
1 2 2
2 2 1
1 0 2
1 0 0
10 7
1 0 0
2 2 0
2 1 2
1 0 2
2 2 1
1 1 1
0 0 1
2 2 2
2 0 2
0 1 1
10 6
0 1 0
0 2 1
0 2 0
2 1 1
0 1 1
0 0 2
2 2 1
1 0 2
2 2 0
1 0 0
10 2
2 2 0
0 3 3
2 0 0
0 2 0
3 1 3
3 2 2
1 0 0
0 1 0
1 3 1
1 0 1
10 3
0 3 2
1 2 0
0 0 0
3 0 1
0 3 0
1 1 3
3 1 1
0 1 0
0 1 3
0 1 1
10 5
0 1 2
3 3 3
2 0 3
0 0 2
3 0 0
0 2 0
1 1 3
1 0 0
1 1 2
1 0 2
10 6
0 2 0
2 1 0
1 0 0
2 1 1
1 0 1
2 2 2
1 1 2
0 2 1
2 1 2
2 2 1
10 5
1 1 2
2 0 2
2 0 3
1 0 3
2 2 2
3 1 0
0 1 0
3 2 3
3 3 3
0 1 2
10 2
2 0 1
2 1 2
1 1 2
0 0 1
1 0 2
1 1 0
2 0 2
1 0 0
0 1 2
0 0 2
10 9
1 1 1
2 2 0
2 0 0
1 0 1
1 1 2
0 2 1
2 2 1
0 0 1
2 1 2
2 1 0
10 5
3 0 0
3 2 3
1 2 0
2 2 1
1 3 3
3 2 2
3 3 2
2 0 0
0 2 1
0 2 3
10 2
0 1 0
1 2 0
0 2 2
0 0 1
0 1 2
2 2 0
1 1 2
1 0 0
0 0 2
2 2 1
10 3
0 0 1
1 0 2
2 1 0
2 0 1
0 2 1
0 1 1
0 1 2
1 1 2
0 1 0
1 0 0
10 3
0 2 2
0 0 0
1 0 0
0 1 2
1 0 2
0 0 1
2 1 0
0 1 1
0 2 1
2 1 1
10 8
3 3 1
0 0 3
3 2 3
0 3 1
1 2 1
3 2 1
0 1 3
1 1 3
0 1 2
2 2 0
10 4
1 2 0
0 1 2
0 1 0
1 2 1
0 2 2
2 1 1
1 1 0
0 0 1
1 0 2
2 2 0
10 9
0 0 1
0 2 2
1 0 0
0 2 0
1 2 0
1 2 1
1 2 2
2 0 1
2 2 2
1 1 1
10 2
3 3 0
1 1 1
2 1 0
2 3 0
1 0 0
3 1 1
0 3 0
2 2 0
1 1 0
0 1 0
10 7
2 1 2
2 2 2
1 0 2
1 1 2
1 1 0
2 0 2
0 2 1
2 0 0
2 1 0
2 1 1
10 4
0 3 3
3 2 0
3 3 3
2 1 0
1 2 0
3 3 1
3 2 3
0 3 2
1 1 2
0 0 3
10 8
0 1 1
2 1 0
2 0 2
2 2 2
2 2 0
0 0 2
0 1 0
2 2 1
0 2 1
1 0 2
10 6
2 1 2
1 2 0
0 0 2
1 0 1
2 0 0
2 0 1
0 1 0
1 0 0
1 1 1
0 2 2
10 3
2 1 1
1 2 1
0 2 0
1 1 2
1 1 1
0 0 2
2 2 2
2 2 0
0 1 2
0 0 1
10 6
3 2 3
3 2 0
0 0 0
3 1 1
1 3 0
2 0 0
3 3 0
0 3 2
0 0 3
1 1 0
10 4
0 2 0
1 0 2
0 2 1
0 0 1
2 2 1
1 1 2
2 2 2
0 1 2
1 0 0
2 1 0
10 6
2 3 2
0 2 1
1 2 1
0 3 0
0 1 3
0 3 2
1 1 0
3 1 0
0 1 1
3 3 1
10 6
1 1 3
2 1 0
0 2 1
1 0 3
3 1 2
3 2 0
0 3 3
3 0 1
1 1 1
3 1 1
10 2
0 3 3
0 2 3
2 2 0
2 0 0
0 1 1
2 3 2
1 1 2
0 0 2
0 1 2
0 1 0
10 7
3 3 1
1 2 3
1 2 0
1 0 2
1 0 1
1 0 3
0 1 0
2 3 0
0 1 3
0 1 1
10 7
1 0 1
0 0 1
1 1 2
2 1 2
2 0 0
2 0 1
0 0 2
1 0 0
0 1 0
0 2 1
10 8
2 1 1
2 0 1
2 2 2
1 0 2
1 2 0
1 2 2
0 1 0
0 0 1
2 1 0
0 0 2
10 8
2 0 3
2 2 2
1 3 2
0 3 1
0 2 3
1 0 3
2 0 1
1 2 1
1 1 0
1 1 1
10 6
0 3 2
0 2 1
2 0 2
2 0 1
3 2 2
1 3 2
0 3 3
3 0 3
2 3 1
1 1 1
10 2
2 1 2
1 0 0
1 1 2
0 0 2
2 0 1
1 2 1
0 2 0
2 2 2
1 1 1
2 1 1
10 4
3 2 0
3 1 2
1 3 3
0 3 1
2 2 2
2 0 1
2 0 3
0 2 3
1 0 0
0 0 0
10 3
0 2 1
1 2 0
1 1 1
0 1 2
1 1 0
0 0 2
1 0 2
0 1 1
0 1 0
2 1 2
10 4
1 2 0
2 2 0
2 0 0
1 0 2
2 1 0
1 0 0
1 0 1
0 1 0
1 2 2
1 2 1
10 2
2 2 0
1 1 1
2 1 2
0 0 2
2 1 1
1 0 2
1 2 2
0 0 0
2 0 0
1 2 0
10 8
2 1 0
1 2 0
2 2 0
1 0 1
0 0 1
1 2 2
0 0 2
1 1 2
1 2 1
0 1 0
10 3
1 2 2
3 2 0
0 2 2
1 1 3
1 1 2
1 1 0
0 1 3
3 2 3
3 2 1
2 1 3
10 3
1 1 2
0 0 2
3 1 1
3 3 0
1 3 3
2 2 0
1 2 1
3 2 1
3 1 3
0 2 3
10 2
1 0 1
0 1 1
2 1 0
1 0 0
2 0 2
1 1 2
1 1 0
2 1 2
0 0 2
2 2 2
10 8
0 1 0
0 2 1
2 1 1
0 1 2
2 2 0
1 2 1
0 2 2
0 1 1
2 0 0
2 2 2
10 7
1 3 1
0 0 2
1 0 0
3 1 3
2 1 1
2 3 2
1 1 0
3 0 1
0 2 3
3 2 1
10 2
1 0 1
2 1 1
0 0 2
1 0 0
2 2 0
0 2 2
0 1 0
2 0 1
0 1 1
2 0 0
10 9
1 1 0
2 0 0
0 0 2
2 2 0
2 0 2
2 0 1
0 1 0
2 2 1
0 2 1
1 2 1
10 2
0 0 2
1 1 1
0 3 1
0 0 1
2 3 2
2 1 1
0 1 2
3 1 2
2 2 0
1 1 3
10 4
2 2 2
2 0 2
2 1 1
2 0 1
2 2 0
0 1 2
0 1 1
2 0 0
0 0 2
1 0 0
10 8
0 0 1
3 3 3
1 3 3
2 0 0
2 3 0
0 1 1
3 3 2
3 2 3
0 1 3
0 0 0
10 8
0 3 0
2 0 3
1 2 2
1 0 0
3 2 3
1 2 1
0 2 2
2 2 0
3 2 0
1 3 3
10 8
1 1 2
0 2 0
0 2 2
0 0 1
1 2 1
0 1 0
2 0 0
0 1 1
2 1 2
2 2 2
10 2
0 3 1
1 2 0
1 0 1
3 1 1
1 0 3
3 2 0
3 3 1
1 1 0
0 2 2
1 2 1
10 5
0 0 0
1 1 1
1 2 2
2 1 0
0 2 2
2 0 1
0 1 0
1 0 0
2 0 0
0 0 2
10 4
2 2 1
0 2 0
2 1 3
0 0 1
1 1 2
0 2 1
0 0 2
3 0 0
0 2 3
2 3 3
10 8
2 1 2
1 2 1
1 1 1
1 2 0
2 0 2
2 0 0
0 0 2
1 2 2
2 2 1
2 2 2
10 7
2 1 1
1 1 1
1 2 0
2 0 0
0 2 2
0 1 1
1 2 1
2 2 2
1 2 2
1 0 1
10 2
2 1 2
1 0 0
1 0 1
0 0 1
0 2 1
0 1 0
2 1 1
1 1 0
2 2 2
1 2 1
10 6
2 2 0
0 1 1
1 2 1
1 1 1
0 1 0
1 0 1
1 2 2
0 1 2
1 0 0
2 1 1
10 4
1 1 1
1 1 0
1 0 1
2 2 0
1 0 0
2 1 2
0 2 2
2 0 1
0 1 0
0 0 0
10 3
2 2 0
2 1 1
1 2 0
0 1 1
0 2 2
1 1 2
1 2 1
0 0 2
0 1 0
1 1 0
10 8
3 3 3
3 0 2
2 3 1
1 3 3
2 2 0
2 2 1
1 3 1
3 1 1
3 3 0
2 0 2
10 6
0 2 0
1 1 2
2 1 1
0 1 0
0 2 1
0 2 2
1 0 2
2 0 1
1 2 1
0 0 2
10 9
0 2 1
0 0 2
0 1 1
2 0 0
1 1 0
2 2 2
1 0 2
2 1 2
1 2 0
2 1 1
10 3
3 1 2
2 0 0
1 2 2
0 3 3
3 0 0
1 3 0
0 1 3
1 3 1
2 1 1
0 1 1
10 3
3 0 0
2 3 0
2 1 0
2 0 0
1 1 3
0 0 2
1 1 1
0 2 3
1 1 2
1 2 1
10 8
1 0 0
0 1 1
0 3 3
2 0 1
3 1 3
0 2 0
0 2 3
3 1 0
0 1 3
0 0 2
10 2
0 1 1
2 0 2
1 1 2
1 0 2
2 2 1
0 2 0
2 2 0
0 2 1
2 2 2
0 2 2
10 2
1 2 2
1 3 0
0 3 0
1 3 3
3 3 1
0 1 2
0 0 3
3 2 0
1 0 1
3 2 3
10 3
0 3 2
2 3 3
1 2 0
3 0 0
1 1 1
2 2 3
3 1 1
1 0 3
3 0 1
3 2 1
10 3
2 1 0
1 0 1
2 0 0
1 0 2
2 1 1
1 1 0
0 2 0
1 2 0
2 2 2
2 2 0
10 6
0 2 2
1 3 1
3 2 3
3 3 0
1 3 2
3 2 1
1 0 3
0 2 3
1 1 0
2 3 2
10 4
1 2 0
3 2 3
2 2 0
2 2 2
0 1 1
3 0 3
0 1 0
1 2 3
0 2 3
3 3 0
10 8
1 0 0
3 3 2
3 3 0
0 3 3
0 1 0
0 1 2
2 0 2
2 3 3
3 3 3
1 3 2
10 6
0 3 1
2 3 0
0 0 1
1 3 3
2 0 3
1 1 1
3 0 1
1 2 3
3 2 0
3 3 2
10 2
2 1 0
1 0 0
0 0 1
1 2 2
2 0 0
1 0 2
2 0 1
0 1 0
2 0 2
2 2 2
10 3
1 0 1
2 2 2
2 0 0
1 0 2
0 1 0
1 2 0
2 2 0
0 2 1
0 0 1
0 2 0
10 4
0 1 1
0 0 2
1 1 2
1 1 1
2 0 1
1 2 0
1 2 1
2 1 1
0 2 2
1 2 2
10 7
2 1 2
2 3 0
0 0 3
1 3 3
3 0 0
1 2 2
0 3 3
1 1 1
0 1 0
0 0 0
10 6
0 3 3
2 3 1
0 3 2
2 1 2
0 3 1
2 1 3
2 2 3
3 1 3
3 2 1
1 0 0
10 8
2 1 0
0 0 1
2 0 0
1 1 1
2 2 2
0 0 2
0 2 0
0 2 2
2 2 0
2 1 1
10 7
0 0 0
2 2 2
2 0 2
2 2 1
0 2 0
0 1 2
1 2 0
2 1 0
0 2 1
2 2 0
10 2
2 0 1
0 2 2
1 2 0
0 1 2
0 0 2
0 2 0
1 1 1
0 1 0
2 2 0
2 0 2
10 5
0 3 3
3 0 3
0 2 0
1 2 1
2 1 3
0 2 3
2 3 1
0 3 1
3 2 1
0 3 0
10 4
0 3 1
0 0 2
2 1 1
1 2 3
2 0 1
1 1 0
2 0 0
0 2 0
2 2 2
3 2 3
10 5
1 2 1
1 1 1
2 2 0
2 2 2
1 1 0
0 0 0
2 0 0
1 0 0
1 0 1
0 2 2
10 7
1 2 1
1 0 2
2 0 0
1 2 3
3 3 0
2 2 0
2 3 1
3 0 1
1 3 1
0 0 1
10 5
0 1 0
1 1 2
1 2 1
2 1 0
0 1 1
1 1 0
0 2 1
2 0 2
1 0 2
1 0 1
10 4
2 1 0
3 0 2
3 2 1
1 0 1
2 0 1
1 2 1
3 3 3
1 2 0
2 1 1
3 2 3
10 5
3 3 0
0 1 0
3 0 2
2 1 1
1 1 0
0 3 0
2 2 0
2 3 2
0 0 0
2 0 3
10 3
1 0 1
2 1 0
2 2 0
0 2 0
2 2 2
1 0 2
0 0 2
1 2 0
2 0 0
2 0 1
10 5
2 0 0
0 2 1
1 0 2
0 0 2
1 1 0
0 1 1
1 0 1
0 1 2
1 0 0
2 1 1
10 7
0 1 0
2 0 2
0 1 2
0 0 1
0 0 2
1 1 1
1 2 0
1 0 2
2 1 1
1 1 0
10 7
0 2 2
1 3 0
2 3 1
2 2 1
0 3 2
2 3 0
0 0 2
3 2 2
2 2 3
3 3 3
10 3
2 0 2
1 1 0
1 2 0
2 2 0
0 1 2
0 0 1
0 0 0
0 2 2
0 2 0
2 2 2
10 6
3 2 2
1 0 3
1 1 1
1 0 2
3 0 3
2 2 2
3 2 0
2 0 2
0 3 2
3 1 0
10 9
1 3 0
1 2 2
1 0 0
2 2 2
1 1 1
1 1 2
2 0 1
0 1 0
3 2 1
3 0 2
10 3
0 1 2
1 1 0
0 1 1
3 0 2
0 2 2
3 2 0
3 2 2
1 0 3
2 1 3
2 2 0
10 6
2 0 0
2 3 0
0 0 0
2 1 0
3 1 2
1 3 3
1 1 1
0 2 3
1 3 0
2 2 1
10 2
0 2 3
3 1 1
2 1 1
2 2 2
3 0 3
3 3 1
0 1 3
3 2 3
3 0 1
3 1 2
10 3
0 2 0
2 2 2
1 2 1
1 2 2
2 1 0
0 0 2
1 1 1
2 0 2
2 0 0
1 1 2
10 6
0 0 2
0 1 0
1 0 1
1 1 1
2 0 2
1 2 0
0 0 0
2 2 0
0 2 1
2 1 0
10 6
2 1 2
0 0 2
1 0 1
0 1 0
2 2 0
1 2 2
0 2 2
2 2 1
2 0 0
1 2 1
10 8
0 1 3
2 2 2
2 1 3
3 0 2
3 0 0
1 0 0
0 2 0
0 3 2
0 1 2
3 1 2
10 4
3 3 2
2 2 3
3 2 3
1 2 0
1 1 0
2 1 1
2 3 1
3 0 2
0 0 3
3 0 1
10 4
1 0 3
2 2 0
2 2 3
0 2 1
2 1 1
3 1 0
1 3 1
3 0 1
0 2 0
0 1 3
10 4
1 1 1
3 0 1
0 0 0
1 3 1
0 0 1
2 1 1
3 0 0
1 3 3
1 0 3
0 3 0
10 9
0 2 3
2 0 0
3 3 1
2 3 0
0 0 3
2 0 3
0 1 2
3 1 2
2 1 1
1 0 1
10 8
0 1 2
1 2 0
2 1 0
1 2 2
0 0 1
2 2 0
0 0 2
2 0 2
0 1 0
2 1 1
10 8
0 1 2
2 2 0
2 1 0
2 2 2
1 2 2
0 0 1
1 1 1
2 1 1
0 2 0
0 2 1
10 5
2 0 1
2 2 1
0 3 3
3 0 0
3 1 1
2 3 0
3 1 0
1 1 3
0 2 3
3 0 3
10 4
1 1 3
2 3 2
3 1 1
0 3 3
0 2 3
1 3 2
0 3 2
3 3 0
0 0 3
3 0 0
10 2
1 3 2
0 1 2
0 0 0
1 1 2
0 1 0
3 2 1
3 0 0
0 2 3
3 3 3
0 1 3
10 6
0 1 0
2 2 1
2 0 2
1 0 1
2 0 0
0 2 0
0 1 1
1 1 1
0 1 2
1 1 0
10 2
0 1 0
2 2 1
1 1 2
2 2 0
1 2 1
0 0 2
2 0 1
1 2 0
0 1 2
2 1 1
10 7
2 1 1
2 2 1
2 0 2
1 1 0
2 0 1
1 1 1
0 0 2
0 1 1
1 0 0
0 1 0
10 5
2 2 2
0 2 2
1 0 1
1 1 2
0 0 1
0 1 1
1 1 1
2 1 1
0 2 0
0 1 0
10 5
1 0 1
1 1 1
0 1 1
2 2 2
0 1 0
1 0 2
0 0 2
0 2 0
0 2 1
1 1 2
10 7
2 2 1
3 1 1
3 2 3
1 0 1
1 2 2
3 1 2
2 1 2
2 0 2
1 0 3
2 2 0
10 7
1 1 1
1 2 1
1 0 2
2 1 2
1 2 2
2 2 0
2 2 2
2 2 1
2 0 1
0 2 2
10 4
0 0 2
0 0 3
1 0 1
1 1 3
0 2 2
1 1 0
3 0 0
3 2 1
3 1 2
3 2 0
10 8
2 3 1
2 3 0
0 0 1
1 2 2
0 3 2
3 2 1
1 1 2
2 0 2
3 0 2
1 1 0
10 7
2 1 0
2 2 2
2 0 1
1 2 2
0 0 0
0 1 1
1 2 1
1 0 1
1 0 2
0 0 1
10 9
1 2 1
1 1 3
0 0 3
1 0 0
2 2 3
1 0 3
0 3 1
0 0 0
2 1 3
0 2 3
10 4
0 1 2
2 1 2
2 2 2
1 2 1
2 0 2
1 2 3
0 0 2
0 1 1
1 3 2
2 2 1
10 6
0 1 1
1 1 3
0 2 1
1 3 1
1 3 2
3 0 0
2 3 0
0 0 1
2 1 3
3 0 3
10 9
1 2 3
1 3 0
3 3 3
3 1 0
0 0 1
1 2 0
1 2 2
1 1 2
1 0 3
2 3 0
10 7
3 2 3
1 3 2
3 1 2
1 3 0
1 0 2
0 0 1
0 2 0
1 1 0
0 3 1
2 1 2
10 9
1 3 0
2 0 1
1 0 0
3 0 1
2 1 1
3 3 1
2 0 0
2 0 3
3 2 1
0 2 1
10 9
0 2 2
1 1 2
1 0 1
0 0 1
1 2 1
1 0 0
1 1 1
2 0 0
0 1 0
0 2 0
10 3
2 2 0
1 1 1
1 1 0
0 2 2
0 1 1
2 0 1
2 1 2
1 2 2
1 0 1
0 1 0
10 2
0 2 0
0 0 1
0 2 2
2 2 0
2 1 0
2 1 1
1 1 2
1 1 1
1 2 1
2 2 2
10 2
0 0 1
1 1 0
1 0 2
0 2 0
1 2 2
2 0 0
1 2 1
1 2 0
2 1 1
1 1 1
10 6
2 1 1
1 2 1
0 1 1
0 2 2
0 1 2
0 1 0
2 2 2
1 2 0
2 1 0
2 0 1
10 6
0 0 2
1 2 0
0 2 2
0 2 0
2 1 2
1 1 2
1 1 0
1 2 1
1 0 0
2 2 1
10 7
2 2 0
2 2 2
2 0 2
1 0 1
2 1 1
0 1 1
0 2 2
1 0 0
0 2 1
0 1 2
10 4
0 2 0
1 2 0
2 0 2
2 2 1
1 2 1
1 0 0
1 0 2
2 1 0
2 2 0
0 0 1
10 8
2 1 1
0 1 2
1 1 0
0 0 2
2 0 2
0 2 1
2 1 2
0 1 1
1 0 0
0 0 0
10 5
0 2 1
0 2 0
2 1 1
1 2 0
0 1 0
1 2 2
1 2 1
0 0 2
1 1 2
0 1 2
10 4
1 2 2
1 0 1
0 0 1
2 1 1
0 2 1
0 0 2
1 0 0
0 1 1
1 1 2
1 2 1
10 7
0 0 1
2 0 1
1 1 1
0 0 2
2 2 2
0 2 0
1 0 2
2 2 0
0 1 0
0 1 2
10 3
3 0 2
2 1 2
3 3 3
1 0 1
3 3 1
0 3 1
1 3 0
0 2 3
2 2 0
0 0 2
10 6
2 0 0
1 0 1
1 3 3
1 3 1
3 3 0
2 3 0
1 3 2
2 1 0
2 2 2
3 1 3
10 5
0 2 2
1 2 2
0 2 1
1 0 1
0 1 1
1 1 2
0 2 0
2 0 2
1 1 0
0 0 0
10 8
0 1 1
2 2 0
2 1 0
1 0 1
1 1 1
1 2 1
1 0 2
1 1 2
1 1 0
2 0 0
10 8
0 0 2
2 1 2
0 0 0
2 1 0
1 0 2
0 2 0
2 1 1
0 2 1
1 2 2
0 2 2
10 3
1 1 0
0 1 1
2 0 1
1 1 1
0 0 2
2 2 1
1 2 2
2 1 1
1 2 0
0 0 1
10 9
0 1 0
0 0 0
2 2 2
0 0 2
0 1 1
2 2 1
1 1 0
0 2 0
1 2 1
2 0 0
10 7
1 2 1
0 0 0
1 1 2
1 0 0
2 1 2
2 0 2
1 0 2
2 2 1
0 2 1
2 0 0
10 8
2 3 2
3 0 2
3 0 1
2 2 0
0 1 1
3 2 2
2 1 2
2 3 0
3 2 0
1 3 2
10 2
0 1 2
1 0 1
2 0 1
0 2 1
1 0 0
0 0 1
0 0 0
1 2 1
0 2 0
2 1 2
10 5
1 0 1
1 2 2
0 1 0
0 2 1
0 0 2
0 2 0
0 2 2
2 1 2
0 0 1
1 0 0
10 5
1 1 2
1 1 1
2 2 0
0 0 1
2 1 2
2 2 2
0 1 0
2 0 1
0 2 0
1 2 2
10 2
1 0 0
3 0 2
3 1 3
1 3 2
2 0 2
2 1 2
1 3 0
0 2 0
2 0 0
3 3 3
10 8
2 2 2
1 2 0
2 1 0
1 1 1
1 0 2
2 0 2
2 0 0
1 2 1
0 0 0
0 1 2
10 2
0 1 3
1 3 2
1 0 1
2 2 0
3 2 3
2 3 2
3 3 2
2 1 2
2 1 1
1 1 3
10 7
2 3 0
0 0 0
0 1 0
3 3 2
1 0 1
1 0 2
2 0 1
2 0 0
0 0 3
1 3 0
10 5
1 0 3
3 2 2
2 0 3
3 3 1
0 1 0
3 0 3
1 3 1
3 1 2
1 3 0
1 0 1
10 5
0 2 0
2 0 2
2 1 2
0 0 2
1 1 1
1 1 2
1 0 2
0 0 1
2 1 0
1 2 2
10 3
2 3 0
2 3 3
3 0 2
1 2 0
2 3 2
2 2 2
0 1 1
0 2 3
0 0 0
1 3 3
10 9
0 0 1
3 2 3
1 0 2
0 2 2
0 1 2
2 2 2
1 3 2
1 0 0
3 1 2
2 0 3
10 4
3 1 3
1 3 3
1 3 0
0 2 2
1 3 2
0 2 3
0 2 1
1 2 3
0 0 3
3 2 0
10 6
2 2 1
1 2 2
1 1 0
2 1 0
1 0 1
3 0 3
3 3 3
3 3 0
0 2 1
1 3 3
10 3
1 2 2
1 1 0
1 2 0
0 1 2
1 1 2
2 2 2
2 2 0
0 1 0
2 0 0
2 0 1
10 3
2 1 1
1 0 1
2 1 2
0 0 2
2 0 2
2 0 1
0 2 2
1 2 0
2 2 2
2 0 0
10 9
0 0 3
2 3 0
1 3 3
0 3 1
0 2 3
0 1 2
1 2 3
0 3 0
2 2 3
3 1 1
10 6
1 1 1
2 2 1
0 0 1
1 0 1
2 2 0
2 0 1
0 2 0
0 1 1
2 1 2
2 2 2
10 9
2 0 0
0 0 0
2 2 2
1 2 0
0 1 0
0 1 2
2 1 1
2 1 2
0 2 2
1 1 2
10 2
2 1 3
1 1 2
2 1 2
3 3 2
3 2 3
1 2 3
3 1 3
0 3 2
2 0 1
2 1 0
10 8
3 1 3
2 0 1
2 3 1
1 0 0
0 2 3
0 0 0
2 2 2
2 0 2
1 2 1
0 1 2
10 2
2 0 1
3 3 1
0 0 0
3 3 0
3 1 2
3 1 1
0 0 2
2 0 3
0 1 2
3 0 0
10 2
0 1 0
0 2 2
3 3 0
0 1 1
3 1 0
2 0 0
1 1 0
0 3 2
2 2 1
3 0 0
10 5
0 2 2
1 1 1
1 1 0
2 2 1
2 1 1
1 0 2
1 2 2
0 2 1
0 1 1
2 2 2
10 9
3 3 0
0 0 0
3 2 3
2 2 2
3 1 2
3 0 2
1 3 3
3 3 3
3 2 2
1 1 2
10 2
3 2 3
2 0 1
0 2 3
0 2 1
2 3 0
0 0 1
1 3 0
2 2 0
2 1 3
3 0 1
10 7
0 1 1
2 0 2
2 2 3
3 0 1
2 3 2
2 1 2
3 1 3
3 3 2
1 2 2
3 3 3
10 2
2 2 0
2 2 1
0 0 2
2 1 1
0 2 1
0 1 2
2 2 2
1 2 0
2 1 2
1 1 2
10 4
3 3 1
0 0 2
0 3 1
1 3 1
1 1 3
2 2 3
2 0 3
1 2 2
2 3 1
2 0 0
10 8
0 2 2
1 3 2
3 1 2
1 2 1
2 0 0
3 2 2
0 3 1
2 0 2
0 1 1
3 0 2
10 6
1 0 1
1 1 2
1 1 0
0 0 2
1 1 1
0 2 0
0 2 2
2 1 1
1 0 2
0 2 1
10 7
2 0 1
2 0 0
0 1 1
1 0 2
0 0 2
2 2 1
1 0 1
0 0 1
0 0 0
1 2 2
10 3
0 0 2
0 0 1
2 1 0
0 1 0
1 2 2
1 0 1
2 2 0
0 1 1
2 0 2
0 0 0
10 6
3 3 1
1 0 1
0 2 3
0 2 1
0 3 0
3 0 1
3 2 3
3 2 2
3 1 2
3 0 0
10 8
0 2 1
0 1 3
2 3 1
2 0 1
2 2 3
1 0 3
3 2 3
3 0 0
2 0 3
3 0 3
10 7
2 1 0
0 0 2
1 2 0
1 0 2
0 2 1
0 2 2
2 1 2
2 1 1
2 2 0
1 1 1
10 3
3 2 0
2 1 3
3 1 2
3 3 2
3 0 3
2 0 3
1 1 0
2 3 0
0 3 1
0 3 0
10 9
2 1 2
1 1 1
0 2 1
1 1 0
0 2 2
2 0 0
2 2 0
0 0 1
1 0 2
2 2 1
10 5
2 1 0
1 0 0
1 1 3
1 2 2
1 1 0
1 0 1
2 0 0
2 0 2
3 0 1
1 3 2
10 9
2 2 0
2 1 1
0 1 0
2 1 0
0 0 1
1 2 1
0 2 1
1 0 0
0 2 2
2 0 0
10 2
2 2 1
0 1 1
1 2 1
2 1 1
1 2 0
1 0 2
2 1 2
1 0 1
0 0 2
2 0 0
10 3
0 2 3
2 0 1
1 0 2
3 1 1
1 0 3
2 0 0
2 0 2
0 3 1
0 0 3
3 3 3
10 8
1 2 0
0 0 1
0 2 1
2 0 1
2 2 1
1 0 0
0 2 0
1 0 1
2 1 0
0 0 2
10 8
1 0 3
1 2 2
0 1 2
0 3 2
0 3 3
2 2 1
2 2 2
2 3 0
0 1 3
3 3 2
10 7
2 2 1
0 2 0
1 0 0
1 2 1
1 1 1
0 1 2
2 1 1
1 0 2
0 0 2
0 0 1
10 5
3 1 0
2 2 2
1 3 2
0 3 1
1 0 1
0 1 3
1 2 2
0 1 1
2 2 0
2 2 1
10 4
1 0 0
0 0 0
2 2 1
2 1 2
1 1 1
0 2 1
1 0 1
1 2 1
0 2 0
1 1 2
10 8
2 0 3
0 0 2
2 1 3
2 3 1
2 1 0
1 3 3
1 0 3
2 2 1
0 0 3
2 2 0
10 8
0 1 2
3 3 2
0 0 0
2 1 2
3 3 3
0 1 0
3 0 3
3 0 2
2 3 0
2 3 1
10 4
1 0 3
3 0 2
1 3 1
1 0 1
3 2 0
1 2 1
2 0 3
3 1 3
2 2 1
0 1 1
10 5
3 1 0
2 2 0
3 2 2
0 2 0
2 3 3
0 3 1
3 3 1
3 0 2
1 0 0
3 0 1
10 2
0 0 1
1 0 2
0 1 1
1 0 1
1 0 0
2 1 1
1 1 2
2 0 0
2 1 2
1 2 2
10 6
1 2 1
0 2 2
1 1 2
1 1 1
1 2 2
1 1 0
2 1 1
0 1 1
2 0 1
2 1 2
10 2
0 2 2
1 2 2
2 0 2
1 0 2
0 2 0
0 3 3
0 1 3
3 1 3
0 2 1
1 1 3
10 6
2 3 3
2 3 1
2 0 1
1 2 3
3 1 0
3 2 2
2 2 0
1 0 2
2 3 2
1 3 0
10 4
1 1 2
1 1 1
3 2 0
1 3 3
3 3 0
0 2 0
1 2 3
3 3 3
1 1 0
2 0 1
10 9
3 0 1
3 3 2
1 1 0
0 0 3
2 3 2
1 2 3
2 1 3
3 1 3
0 1 3
0 3 3
10 7
3 1 3
3 0 2
2 1 3
2 2 1
0 0 1
3 3 0
2 0 0
0 3 3
1 2 2
2 2 2
10 6
0 0 0
2 0 2
0 0 2
1 1 2
0 2 2
1 0 1
2 1 1
2 1 0
0 1 2
0 2 0
10 5
3 3 0
1 3 1
2 1 0
2 3 0
1 1 2
3 0 0
1 3 3
2 2 0
2 1 2
1 1 0
10 4
0 2 2
1 1 0
0 1 2
2 0 2
1 2 0
1 0 1
0 1 0
1 0 0
1 2 1
1 2 2
10 4
0 1 1
0 1 2
2 0 2
0 0 2
2 2 2
1 0 1
1 1 1
2 0 0
2 1 0
1 1 0
10 2
2 2 0
0 1 3
1 2 3
3 2 2
1 0 0
2 1 0
2 3 1
1 0 2
3 0 3
0 1 0
10 2
0 2 1
2 1 2
1 0 0
1 2 1
2 2 1
0 2 0
2 0 0
0 2 2
1 1 2
2 0 2
10 7
1 2 2
2 1 2
3 0 2
3 1 1
2 3 0
0 2 3
1 0 0
1 3 3
0 2 2
3 3 2
10 9
1 0 2
1 1 0
0 0 2
1 2 3
3 1 2
2 2 0
0 2 3
2 1 3
0 1 2
3 3 0
10 4
2 1 1
1 0 1
1 2 1
2 3 0
3 2 3
0 0 1
3 0 0
3 2 1
3 3 3
1 2 3
10 9
0 1 2
2 0 2
2 0 1
1 1 1
0 2 1
1 0 2
2 2 1
1 2 1
0 2 0
2 1 2
10 9
0 2 0
3 2 3
1 3 1
0 3 0
2 1 0
2 0 0
1 3 0
1 0 0
0 2 2
1 0 3
10 5
0 2 0
2 0 1
1 2 0
0 0 1
0 0 2
2 0 0
0 1 1
0 1 0
2 2 0
1 1 2
10 9
0 2 1
0 1 1
2 2 2
1 0 1
1 0 0
2 2 0
2 0 0
1 2 1
0 0 0
2 0 2
10 6
0 1 3
2 2 1
2 0 3
1 2 2
0 3 1
3 1 2
1 2 1
1 1 0
1 0 2
2 2 2
10 5
1 2 0
1 0 2
2 2 1
1 1 2
0 0 1
2 1 2
1 0 1
0 2 2
0 1 2
1 2 2
10 9
2 2 2
1 1 1
2 0 2
2 1 0
2 1 2
1 0 2
2 1 1
1 2 1
1 2 2
1 1 2
10 4
3 0 0
3 3 2
1 2 2
0 1 2
0 1 3
2 3 0
2 2 0
3 2 2
2 3 3
1 0 2
10 8
2 0 2
1 0 1
2 2 0
1 1 0
0 3 0
0 2 3
0 3 1
3 3 3
0 2 2
0 2 1
10 3
3 3 2
3 2 3
3 0 0
0 3 0
1 3 1
2 1 3
3 1 0
2 0 3
0 0 2
2 3 0
10 2
1 2 1
1 0 1
1 2 2
3 3 1
0 2 2
2 3 0
3 1 0
2 1 1
1 3 2
2 2 3
10 7
1 2 1
2 2 2
1 2 0
0 0 2
1 1 0
2 0 2
1 1 1
0 2 1
2 1 0
0 1 0
10 9
1 0 0
0 2 2
2 0 2
2 2 0
0 1 0
1 2 1
1 1 0
2 0 0
0 0 2
0 2 0
10 6
0 0 2
2 2 2
2 2 0
0 2 2
0 0 1
1 1 1
2 2 1
1 2 2
0 0 0
2 1 2
10 9
1 3 0
3 0 2
1 3 3
2 1 3
0 2 2
0 1 3
2 2 3
1 1 2
2 1 0
0 1 2
10 3
0 2 1
1 1 0
1 0 1
2 1 1
2 0 0
1 0 0
0 2 2
1 1 1
0 0 0
1 2 2
10 9
1 2 2
1 0 0
1 1 1
3 2 1
0 3 2
3 1 2
3 1 3
0 1 1
3 3 0
1 3 3
10 7
0 2 2
2 0 1
2 2 1
2 0 0
2 0 2
1 1 0
1 1 2
1 2 2
1 2 0
0 0 2
10 4
2 1 0
1 0 2
0 2 1
0 1 1
1 2 1
0 0 0
2 0 2
2 2 2
0 1 2
1 1 1
10 7
3 1 2
3 0 2
2 0 1
0 3 3
1 2 2
1 0 2
1 1 0
1 1 2
2 3 2
3 0 0
10 2
0 3 2
2 3 2
0 2 3
1 0 1
1 3 1
3 3 3
3 1 0
1 0 0
3 2 3
0 1 2
10 9
3 0 0
3 2 2
2 1 2
1 1 2
0 0 2
3 0 3
1 2 0
2 2 0
2 1 3
0 1 0
10 7
1 1 1
3 0 1
1 1 3
1 1 0
2 0 1
1 2 2
0 2 1
2 1 1
1 2 0
2 1 0
10 5
0 1 2
2 1 1
0 1 0
2 1 0
0 0 1
2 1 2
1 2 0
1 2 2
0 2 0
2 0 1
10 7
1 2 2
2 0 0
3 1 0
2 3 1
3 0 3
1 1 3
2 3 3
0 2 1
0 1 1
0 3 3
10 3
1 1 2
0 0 2
1 2 2
0 2 3
1 1 1
2 1 1
3 2 1
2 1 0
1 1 3
2 1 3
10 6
0 0 2
1 0 0
0 0 1
2 2 2
0 1 1
1 1 2
2 2 1
1 2 2
2 1 1
0 2 0
10 2
3 0 1
3 3 2
2 3 1
0 0 1
1 0 2
0 2 2
1 1 2
3 3 3
3 2 0
0 2 3
10 2
1 1 1
0 2 1
2 3 3
3 3 1
3 2 2
0 3 1
3 2 1
1 3 1
2 3 1
1 0 0
10 4
3 0 0
0 1 1
0 1 0
1 1 0
3 0 1
3 2 1
0 3 1
3 0 3
2 0 1
0 0 2
10 7
0 0 0
2 2 1
1 2 2
1 1 2
1 2 0
2 1 0
0 2 0
1 0 1
0 2 1
2 0 1
10 6
1 0 0
2 2 3
1 3 2
1 2 1
0 1 2
3 0 0
1 2 3
3 2 2
3 2 1
2 0 1
10 3
2 1 0
0 0 2
1 2 2
1 0 0
0 0 0
0 2 0
2 2 1
1 2 1
2 2 2
2 1 1
10 9
0 2 1
2 2 1
2 3 3
0 3 1
1 1 1
0 3 3
1 0 0
3 1 2
1 1 0
2 3 0
10 2
2 0 2
0 0 1
0 1 2
0 0 2
2 1 2
1 0 0
0 2 0
2 1 1
0 1 1
1 1 2
10 7
2 0 1
0 0 0
0 1 2
2 1 2
2 1 1
1 1 0
2 0 0
0 2 2
1 0 0
0 2 1
10 9
2 1 1
0 0 2
1 2 2
2 2 2
2 1 0
2 0 0
0 2 0
0 2 1
2 0 1
1 2 0
10 7
1 1 3
0 2 1
1 0 3
2 0 1
0 0 1
0 1 1
3 0 2
2 2 0
0 1 2
3 2 1
10 5
2 0 2
0 2 2
0 0 1
2 2 0
2 1 0
0 1 0
1 2 2
1 0 2
0 0 2
0 0 0
10 6
1 2 1
1 3 0
1 1 2
2 1 3
2 1 2
0 2 1
3 3 1
3 0 3
2 3 0
1 1 3
10 9
2 1 1
2 0 0
0 1 1
1 0 2
1 1 0
0 2 2
0 1 0
2 0 2
2 0 1
1 0 1
10 9
0 1 1
3 3 2
2 0 2
3 0 3
2 1 3
2 2 1
1 2 0
0 3 3
3 1 0
0 1 0
10 5
0 2 1
1 0 1
2 1 2
2 0 2
1 1 1
2 0 1
1 0 0
0 2 0
0 1 0
1 2 1
10 5
0 0 2
3 0 1
2 2 3
0 2 1
3 0 2
2 0 2
1 1 1
0 0 3
2 2 1
0 1 2
10 8
1 0 0
3 0 2
1 2 2
2 2 3
0 2 3
2 1 2
3 0 0
1 1 3
0 3 0
1 3 1
10 8
1 0 3
0 2 2
0 1 2
3 0 2
3 1 0
1 0 1
3 3 3
0 3 3
1 2 0
3 0 1
10 6
0 1 2
1 1 2
2 1 0
2 0 2
0 1 0
1 1 1
2 0 0
0 0 0
1 0 0
2 0 1
10 2
1 0 1
0 1 0
1 1 2
1 3 3
3 3 0
0 1 1
1 0 3
0 0 3
0 0 0
3 1 0
10 5
2 3 0
0 0 3
3 2 0
1 0 1
0 2 2
0 3 0
1 1 2
3 2 3
0 1 3
3 1 2
10 2
1 3 3
1 0 0
2 0 2
1 1 2
2 1 2
2 3 0
2 1 0
2 1 1
2 3 3
3 3 2
10 2
1 0 3
2 0 2
0 0 0
2 2 1
1 2 3
0 3 3
1 2 2
3 2 3
3 1 1
0 1 3
10 4
2 0 0
1 2 1
2 2 2
0 2 1
1 0 0
0 1 0
1 2 2
0 0 2
1 1 2
1 0 2
10 7
2 1 0
1 2 0
1 2 1
1 1 1
0 1 2
1 0 2
1 1 0
2 0 0
0 2 0
0 1 1
10 4
3 1 0
2 0 3
0 3 1
0 2 3
1 2 1
3 2 3
3 2 0
1 0 1
1 3 3
3 0 2
10 6
1 0 1
2 0 3
3 3 3
2 3 1
0 2 3
2 1 1
1 2 1
0 0 1
1 3 2
3 3 1
10 2
0 2 1
2 2 3
2 1 0
1 1 2
0 2 2
0 1 3
1 0 2
0 0 2
3 2 2
3 1 3
10 4
2 0 1
2 1 2
2 2 0
1 1 1
2 2 1
1 0 1
2 2 2
0 1 0
1 1 2
2 1 0
10 3
3 3 1
3 0 2
2 1 3
3 1 3
2 2 0
1 1 2
2 3 3
3 3 3
3 1 0
1 1 3
10 3
3 2 1
2 0 0
3 3 0
0 2 3
3 2 2
2 0 1
3 3 1
3 3 2
2 3 0
1 3 3
10 8
3 3 2
0 0 2
2 2 2
0 1 1
2 3 2
3 1 0
2 2 0
2 3 0
0 3 1
1 3 0
10 7
3 2 3
1 2 0
3 1 3
0 2 3
1 2 1
1 1 1
0 2 0
3 3 0
0 2 1
3 2 2
10 5
0 1 2
0 0 0
2 1 1
2 0 2
1 2 0
1 0 1
2 0 1
1 1 1
0 1 1
2 1 0
10 6
3 0 0
0 0 0
1 3 3
2 2 1
0 1 2
2 2 3
3 1 2
0 1 3
0 3 0
3 2 3
10 3
1 2 0
2 3 3
1 3 0
2 1 3
3 1 1
0 0 2
2 3 1
1 2 1
2 0 3
0 2 0
10 9
2 2 1
0 0 0
3 3 1
1 1 2
3 3 0
3 0 3
0 3 0
3 2 3
1 2 3
2 3 0
10 5
0 0 0
2 1 1
1 0 0
0 2 0
1 1 2
2 2 0
2 0 0
2 0 2
1 1 1
2 1 2
10 3
1 0 2
1 1 2
0 0 2
1 0 0
0 0 0
2 2 2
0 1 2
2 1 0
1 1 1
2 2 1
10 5
1 1 0
0 2 1
2 1 1
0 0 0
2 2 2
2 0 1
1 1 1
2 2 1
1 0 0
1 1 2
10 5
1 1 2
1 1 0
0 1 1
0 2 0
0 0 0
1 1 1
0 1 2
2 1 2
2 2 1
2 0 1
10 6
3 1 2
2 3 3
2 0 2
3 0 2
2 2 3
3 0 3
1 2 1
3 2 3
3 0 1
0 2 1
10 7
2 3 0
2 1 1
2 3 2
2 2 0
1 0 2
2 2 3
2 3 1
3 2 1
0 1 3
2 0 3
10 9
0 1 1
1 1 2
2 1 1
0 2 1
0 0 0
1 1 0
1 0 0
2 1 2
1 2 1
2 0 1
10 7
1 1 0
2 1 2
0 2 0
0 2 1
3 3 3
3 3 0
0 3 2
0 0 3
3 1 3
0 2 3
10 4
1 2 0
2 2 0
2 0 1
2 0 0
0 2 0
0 1 0
0 0 0
1 0 2
2 2 2
1 1 1
10 5
2 0 1
1 2 1
0 2 2
1 1 1
1 1 2
1 0 0
2 0 0
1 1 0
0 0 0
2 2 2
10 5
1 0 3
2 2 2
1 2 0
0 0 2
1 1 1
0 3 0
0 0 1
2 2 0
1 2 2
1 3 2
10 7
1 2 2
1 0 2
1 1 1
0 1 2
2 1 2
2 0 0
1 2 0
1 2 1
2 1 0
1 0 1
10 5
0 2 1
1 0 1
1 1 1
2 2 1
1 0 2
0 0 0
1 2 1
2 0 1
2 0 0
2 1 0
10 9
0 2 3
3 0 0
2 2 0
3 3 0
2 2 2
1 3 2
0 2 0
3 2 0
1 3 1
2 3 0
10 5
2 0 0
1 0 0
0 1 1
0 1 2
2 1 0
0 2 1
1 2 0
2 2 1
1 0 2
1 1 1
10 5
2 3 2
1 1 1
2 0 3
2 0 0
0 3 1
2 1 0
0 0 0
2 3 0
3 2 0
0 3 0
10 6
2 0 1
3 1 0
0 3 2
1 1 1
1 2 1
3 0 3
0 2 3
1 0 3
3 1 3
2 2 3
10 7
1 2 3
3 1 0
0 3 3
3 0 1
1 1 2
3 1 2
1 0 1
3 1 3
0 3 1
1 2 2
10 8
2 3 3
1 3 2
3 3 0
2 0 1
3 2 1
0 0 1
1 0 3
1 1 3
1 3 1
0 1 0
10 3
2 2 1
2 0 0
1 1 0
0 2 2
1 1 1
0 0 1
0 2 1
2 2 0
1 0 1
1 1 2
10 7
2 1 3
2 1 2
2 0 0
1 0 1
1 3 2
3 1 0
2 2 0
0 3 2
3 0 1
2 3 1
10 3
3 2 1
1 1 1
0 3 3
1 3 0
2 1 3
0 2 1
1 3 3
1 2 0
0 1 1
1 0 2
10 4
2 3 1
0 0 2
2 3 2
0 2 3
0 2 2
3 2 0
3 2 2
2 1 1
0 3 0
2 2 0
10 8
3 1 2
1 1 3
3 1 0
2 1 3
0 3 2
3 3 0
3 2 2
0 1 1
1 0 2
1 1 1
10 5
0 3 0
3 2 3
2 1 3
0 3 1
2 2 2
3 1 0
1 0 0
3 1 2
2 1 2
3 1 3
10 4
2 2 0
2 0 2
1 0 3
1 0 1
3 3 2
3 3 1
0 1 3
0 0 3
3 0 1
2 1 2
10 4
1 2 1
0 2 2
1 2 2
2 1 0
2 2 1
2 2 2
1 0 2
1 0 0
1 1 0
0 1 1
10 7
1 0 1
2 1 0
0 1 0
0 0 1
0 0 2
0 2 0
2 1 1
1 1 1
2 1 2
1 0 2
10 5
0 1 1
0 0 1
2 1 1
2 2 0
0 1 0
0 2 0
1 2 0
1 0 0
2 1 0
2 0 2
10 6
0 0 0
2 3 0
2 1 2
0 1 0
3 0 0
3 3 3
3 1 1
1 3 0
3 2 0
3 1 0
10 2
3 0 1
3 1 2
0 1 0
1 3 2
0 1 2
0 0 1
2 0 3
2 2 1
0 1 1
1 0 3
10 2
1 2 1
1 1 1
0 1 1
2 1 0
1 2 2
0 0 2
2 1 1
2 0 2
2 0 1
0 0 1
10 7
3 0 1
0 3 2
3 2 1
3 1 0
1 2 1
2 1 2
0 3 1
2 0 2
3 2 0
1 1 2
10 3
1 3 3
0 0 0
0 1 3
3 0 2
0 2 1
3 3 3
0 3 1
0 1 0
3 0 3
1 2 2
10 2
0 1 0
0 0 0
3 1 3
1 0 2
2 0 1
3 2 0
1 0 0
0 0 1
1 1 0
2 2 1
10 2
2 0 0
0 0 1
0 1 3
2 3 1
1 2 2
3 1 3
2 2 0
3 0 0
1 0 1
0 1 0
10 8
1 1 0
1 0 1
1 2 1
0 1 0
0 2 2
2 0 2
0 0 2
1 2 0
2 1 2
2 2 2
10 5
0 0 2
2 1 1
0 2 2
2 0 0
1 1 2
1 1 1
0 1 1
0 2 0
0 1 0
1 2 2
10 6
0 0 2
2 0 0
2 2 2
0 1 2
2 1 0
1 1 0
0 2 1
2 2 1
1 0 1
1 2 0
10 2
2 0 2
1 2 2
1 1 1
1 2 0
1 0 1
1 1 2
2 1 0
0 1 1
2 2 2
2 0 0
10 4
1 1 2
1 0 1
0 0 1
0 0 2
1 0 2
0 1 2
1 2 1
1 0 0
0 2 0
1 2 2
10 8
1 2 2
2 2 0
2 0 1
0 0 1
0 1 0
0 2 2
0 2 1
2 1 1
0 0 2
2 0 0
10 5
2 0 2
0 1 3
3 2 0
2 1 1
3 0 3
1 1 2
0 2 2
1 2 1
1 3 3
3 1 2
10 4
1 2 0
2 0 0
3 2 1
2 1 1
1 2 2
3 1 3
2 3 1
0 3 3
1 1 1
1 1 3
10 4
3 1 2
0 3 2
1 1 3
2 0 2
3 0 0
1 1 0
0 2 0
2 3 2
2 0 0
1 0 2
10 2
3 1 2
1 1 1
3 0 3
0 1 2
2 2 3
3 3 0
2 3 0
2 1 1
1 1 2
0 1 0
10 4
1 2 0
1 1 0
1 2 2
2 0 2
1 1 2
0 2 2
2 1 0
2 0 0
0 1 0
2 0 1
10 6
2 2 0
2 1 0
2 0 1
0 0 0
0 2 0
2 2 1
0 1 2
1 0 0
0 2 1
0 1 0
10 6
3 2 1
0 1 0
0 0 0
2 0 0
3 0 3
2 3 2
3 2 2
0 2 0
3 1 2
1 3 1
10 9
2 1 1
0 1 2
1 3 0
3 1 2
0 2 0
3 2 2
1 0 3
2 3 1
0 3 1
1 2 3
10 3
1 2 0
1 0 2
2 2 1
2 1 0
2 2 2
1 2 1
2 0 0
2 1 2
2 0 1
1 1 0
10 3
2 0 2
1 0 1
2 1 0
0 2 2
1 2 0
1 1 0
1 1 2
0 0 1
2 2 1
2 2 0
10 6
0 2 0
0 2 2
1 2 0
1 0 1
1 1 0
0 1 2
2 0 2
0 1 0
1 0 2
2 1 2
10 9
1 1 1
2 3 3
3 2 1
0 0 2
2 3 0
1 0 2
2 1 2
3 0 3
2 1 3
1 1 0
10 8
2 1 0
0 1 2
1 1 1
0 0 2
1 2 0
0 0 0
1 2 2
2 2 2
1 0 1
2 0 1
10 8
1 1 2
1 0 0
1 2 0
2 2 0
0 0 1
1 0 1
2 1 1
0 0 2
2 0 2
2 2 1
10 7
1 0 3
3 0 0
2 2 3
0 0 0
1 2 2
0 2 1
2 0 2
2 0 0
1 1 3
0 3 2
10 8
2 0 2
1 2 0
2 0 0
1 0 0
0 2 2
1 0 2
0 0 0
2 1 0
0 0 1
0 2 0
10 8
2 2 2
1 1 0
2 1 0
0 0 1
1 0 0
2 1 2
1 2 0
0 1 2
0 0 0
2 2 1
10 9
2 3 3
0 0 1
0 2 1
3 3 0
1 1 0
2 2 3
1 3 0
1 1 1
1 0 3
0 2 0
10 6
0 2 1
2 0 2
1 0 2
0 1 2
1 1 1
2 0 0
2 0 1
1 0 0
2 1 1
0 2 0
10 9
0 1 0
2 2 0
3 1 3
0 1 2
3 0 1
1 2 2
2 0 3
2 3 3
2 1 2
0 2 2
10 2
2 0 1
1 1 2
2 2 0
2 0 2
2 1 2
0 1 0
0 0 0
1 0 2
1 2 0
1 0 1
10 9
1 1 1
2 2 0
1 2 0
0 0 1
2 1 1
2 1 2
0 2 2
2 1 0
0 1 0
0 0 2
10 6
2 1 0
0 1 0
1 2 2
1 1 0
1 0 0
2 1 1
1 2 0
2 0 0
2 2 2
2 0 2
10 7
1 1 1
0 3 3
1 3 2
0 2 0
0 2 1
2 1 0
0 0 1
3 1 2
3 3 1
3 3 3
10 9
1 2 1
2 2 2
0 2 0
2 1 2
2 1 0
1 0 1
0 1 2
0 0 2
0 1 1
0 0 0
10 8
2 1 0
2 2 2
2 1 1
2 2 0
1 1 2
1 0 2
2 1 2
1 2 0
0 2 0
1 2 2
10 6
3 3 3
3 0 3
0 1 2
3 2 1
1 2 1
3 3 1
2 0 0
2 3 2
2 2 2
3 1 1
10 9
0 1 2
0 1 1
0 1 0
2 2 1
2 0 1
2 1 1
2 0 0
0 2 0
1 2 1
1 2 0
10 6
1 0 2
1 3 1
0 2 0
2 2 1
2 3 1
2 3 2
3 3 3
1 1 1
3 1 3
0 1 0
10 4
1 2 2
0 0 0
2 1 0
0 1 2
1 1 0
1 0 2
0 2 1
2 1 1
2 0 1
0 2 0
10 2
2 1 3
2 1 1
1 3 1
1 0 2
1 1 3
0 2 1
2 0 0
2 3 2
3 2 0
3 0 1
10 4
0 1 2
2 1 2
1 0 2
1 1 0
2 1 0
1 1 2
2 1 1
1 2 2
1 0 1
0 2 1
10 9
2 2 1
2 1 1
0 2 2
1 1 1
0 1 1
1 0 2
2 1 2
0 1 0
0 2 0
0 0 0
10 8
1 1 2
3 0 3
0 1 1
2 0 0
1 1 0
3 2 1
1 1 3
0 1 0
1 3 1
2 0 1
10 2
0 2 2
1 0 2
1 0 0
0 1 2
1 2 0
0 2 0
1 1 1
0 1 0
0 1 1
1 1 0
10 3
0 0 0
1 1 0
2 2 0
0 1 2
0 2 0
0 1 1
2 2 1
2 1 2
0 1 0
1 2 1
10 8
3 2 0
0 3 3
1 0 1
1 0 0
1 2 3
0 1 1
2 0 1
0 2 2
0 1 0
2 1 0
10 2
1 2 0
1 2 2
1 0 1
0 1 1
1 0 2
0 0 2
0 2 2
2 2 1
2 2 2
0 0 1
10 3
3 2 2
3 1 1
3 2 1
1 1 0
0 3 2
0 1 0
0 0 3
0 1 2
1 1 2
3 3 2
10 9
1 0 2
1 1 2
0 0 2
3 3 2
2 2 1
0 3 0
1 2 1
2 0 0
2 3 2
1 1 1
10 7
2 2 3
3 0 2
2 1 2
1 2 0
2 0 1
0 0 2
0 2 3
1 3 3
3 1 1
2 0 0
10 2
2 3 0
1 0 0
2 0 2
0 2 2
1 3 0
1 3 2
3 3 1
2 2 0
3 1 3
1 2 2
10 6
0 1 1
1 2 2
2 0 2
2 1 2
2 0 1
2 2 2
1 0 0
1 1 1
0 2 0
0 0 0
10 5
1 0 0
1 0 2
2 1 2
2 1 1
1 1 1
0 1 2
0 1 1
2 0 2
0 2 2
0 1 0
10 5
1 1 3
0 2 1
2 0 0
3 3 2
2 1 1
2 2 3
3 1 1
0 0 2
3 3 0
1 2 1
10 4
1 2 1
2 1 1
0 0 3
2 3 0
2 0 1
3 1 0
2 2 0
1 1 1
1 2 0
3 3 0
10 3
2 1 1
2 2 0
2 2 2
0 1 2
0 1 0
1 1 0
2 1 2
2 0 0
0 1 1
1 2 1
10 7
1 1 0
1 3 3
1 1 3
3 0 1
3 0 2
1 1 2
2 3 3
2 1 3
2 3 2
0 0 0
10 7
3 0 2
2 1 2
1 2 3
0 2 2
1 3 2
3 0 3
1 2 2
1 1 1
0 0 0
2 0 2
10 5
1 2 1
1 0 1
2 1 2
0 1 2
0 2 2
1 2 0
2 0 0
1 0 2
1 2 2
0 0 0
10 2
1 2 0
3 3 1
3 1 2
2 1 3
0 3 0
1 1 2
1 2 2
1 3 0
0 2 1
0 1 0
10 8
0 3 1
0 3 3
2 1 0
0 2 2
3 2 2
0 2 3
1 1 3
3 1 3
2 0 3
1 0 3
10 5
0 0 3
3 1 1
0 2 2
2 3 1
2 1 0
3 0 1
1 3 1
3 0 3
3 2 0
0 3 2
10 2
1 1 0
1 0 2
0 2 0
2 2 2
0 0 2
0 1 0
1 1 2
0 0 1
2 1 2
1 0 0
10 2
1 0 0
2 0 3
3 3 3
2 2 3
3 0 0
1 1 3
2 3 0
1 1 1
3 3 0
1 3 2
10 2
0 2 2
1 0 1
0 2 0
2 0 2
1 2 0
1 0 2
0 0 2
1 1 0
1 2 1
1 1 2
10 9
1 3 2
3 3 0
3 0 0
3 2 3
2 3 2
3 0 3
1 0 2
0 2 3
0 2 1
2 1 1
10 2
1 1 0
2 0 2
0 2 0
0 2 2
1 1 2
0 1 2
2 1 2
1 2 2
0 0 1
1 1 1
10 2
1 3 1
1 0 0
0 2 1
2 2 1
2 2 2
3 3 1
0 1 1
0 3 3
2 1 1
2 1 3
10 5
3 3 3
3 1 1
0 1 2
1 0 0
1 1 1
0 0 0
3 1 3
1 3 3
2 2 1
1 2 1
10 4
0 0 0
1 2 1
2 2 0
2 1 0
0 2 2
1 2 0
2 1 2
1 3 0
2 0 1
1 0 1
10 2
0 0 1
1 1 0
0 2 0
2 2 1
1 2 0
1 2 1
2 0 2
0 0 2
0 2 1
1 1 2
10 4
3 2 2
0 1 1
3 0 0
1 3 0
0 0 0
0 3 1
3 1 3
3 3 1
2 2 1
3 2 0
10 4
0 3 1
3 3 3
3 3 1
0 3 3
2 3 3
1 3 2
0 1 2
1 1 3
2 1 3
3 1 3
10 2
2 1 0
0 0 2
1 2 2
1 1 2
2 1 1
0 0 1
1 0 0
0 2 1
2 2 1
0 2 2
10 2
0 3 1
2 1 0
0 1 3
0 1 1
1 1 2
3 3 0
2 0 2
2 0 0
2 2 2
1 0 3
10 7
1 1 2
2 2 1
2 1 2
1 0 0
0 1 2
2 0 2
1 1 0
0 0 2
1 2 1
0 1 0
10 3
3 3 3
2 2 3
0 3 2
1 2 0
0 2 3
3 3 0
0 3 3
3 2 2
2 2 0
3 2 0
10 7
3 3 2
3 0 3
3 1 3
1 0 1
3 2 2
2 2 2
2 3 0
3 0 1
1 3 1
0 2 3
10 2
0 0 0
1 2 1
1 1 3
1 2 0
1 0 0
1 1 1
3 2 0
0 2 3
3 0 0
0 3 0
10 8
2 1 2
2 1 1
1 0 1
1 1 2
0 2 0
1 2 0
0 0 2
0 1 2
1 2 2
0 2 2
10 7
0 3 3
3 2 0
3 3 3
2 3 1
2 2 2
3 2 2
3 2 1
3 3 0
1 1 3
2 3 2
10 9
1 2 0
0 2 2
2 2 0
1 0 1
2 0 1
1 1 3
2 1 0
2 3 2
0 0 1
3 1 2
10 4
0 0 1
1 1 2
2 3 2
3 1 1
3 1 3
2 1 0
0 0 0
2 3 3
1 3 2
1 1 0
10 4
1 2 1
1 1 1
1 1 0
1 2 0
2 1 2
1 1 2
0 1 0
0 2 2
0 0 2
2 2 1
10 3
2 1 0
0 0 0
1 1 2
2 2 1
2 0 0
1 2 0
0 2 1
2 2 2
0 1 1
1 0 0
10 3
1 2 0
2 1 1
2 1 0
0 0 2
0 2 1
1 1 0
0 1 0
1 2 1
2 2 0
2 0 2
10 3
2 2 1
2 2 2
2 0 0
0 2 1
1 2 1
2 1 2
2 1 0
0 0 0
0 1 2
2 1 1
10 9
1 0 0
1 1 0
1 2 0
0 0 0
2 0 1
1 2 1
0 0 1
0 1 0
1 0 2
2 0 0
10 3
1 2 0
1 1 1
1 0 2
0 1 0
2 0 0
0 0 0
0 2 2
2 1 1
2 2 0
2 2 1
10 2
0 2 1
2 3 1
3 2 0
1 1 1
0 3 1
1 2 1
1 0 2
3 2 1
0 3 0
1 1 3
10 7
0 0 1
0 1 2
0 0 0
0 2 0
0 0 2
0 1 0
2 2 1
0 2 1
1 2 0
1 0 0
10 3
0 0 0
0 2 1
2 0 3
0 1 3
0 3 0
1 2 1
1 3 3
2 2 1
2 1 2
3 3 0
10 5
2 2 2
2 0 1
2 1 1
1 1 1
1 2 2
2 0 2
0 1 1
0 1 0
1 2 0
0 2 2
10 3
1 1 1
2 0 3
2 1 3
1 0 3
0 3 1
1 0 2
3 1 0
2 3 0
1 2 1
0 1 1
10 5
3 3 2
1 2 3
1 1 2
1 1 3
0 0 2
0 3 0
3 3 0
3 3 1
3 2 1
1 2 2
10 2
0 2 1
3 1 1
1 2 1
0 1 2
0 2 3
1 0 3
2 3 1
3 0 1
2 2 1
1 3 1
10 3
0 3 0
2 3 0
0 2 1
3 1 3
2 0 1
0 2 0
2 1 0
3 0 0
2 1 3
2 2 1
10 6
2 2 0
1 1 2
2 1 2
1 2 1
1 0 1
2 1 1
0 1 2
1 0 2
1 2 2
0 1 0
10 8
3 1 1
1 1 0
0 0 2
0 2 0
3 3 2
3 0 3
0 1 3
1 2 2
1 2 0
2 3 0
10 7
1 0 3
0 0 1
2 2 1
0 1 1
3 0 0
1 0 2
2 3 3
2 0 1
1 1 2
2 3 0
10 6
0 1 2
1 3 2
2 0 3
2 2 0
1 1 1
1 0 1
1 3 3
2 1 0
2 2 3
2 0 1
10 9
3 1 3
1 3 3
0 0 1
1 0 3
3 1 0
3 2 2
3 0 1
0 2 1
3 0 3
0 1 2
10 2
0 3 2
0 1 3
1 0 1
1 1 2
0 1 0
2 1 2
0 0 2
0 1 1
3 2 3
0 2 1
10 9
2 2 2
1 2 0
0 0 0
2 0 2
2 0 0
2 1 1
1 2 2
0 1 2
1 1 1
2 1 0
10 6
1 3 1
0 2 1
0 0 1
2 3 2
3 0 3
3 3 3
2 2 2
3 3 0
0 2 3
2 1 0
10 6
2 2 0
1 2 0
1 1 1
1 1 0
0 1 1
2 1 2
0 0 1
0 1 0
0 0 0
2 0 2
10 8
1 3 3
0 0 1
0 1 0
3 0 0
3 1 1
2 3 0
2 0 2
0 2 2
1 1 1
3 3 0
10 7
2 1 1
2 1 2
2 2 0
2 0 0
2 0 2
0 0 1
0 1 0
1 0 2
1 0 0
2 0 1
10 7
2 1 2
0 1 1
0 2 2
1 0 2
2 2 0
0 0 2
1 2 0
2 0 0
0 0 0
2 2 1
10 3
2 2 2
1 2 2
0 1 2
2 0 0
2 2 0
2 0 1
0 2 1
0 2 2
1 1 1
2 2 1
10 4
1 1 2
3 2 2
3 2 0
0 1 1
0 2 2
3 2 3
2 0 3
3 2 1
0 0 3
2 3 1
10 3
1 3 2
2 0 3
0 0 0
3 2 0
3 0 1
2 1 0
1 1 2
1 0 0
0 3 2
3 3 3
10 2
0 1 2
2 2 0
1 1 1
2 1 1
2 2 1
1 0 1
2 0 0
0 2 1
1 1 2
1 2 1
10 7
2 2 0
2 1 0
2 2 2
0 2 2
1 2 0
0 1 0
0 0 2
1 0 2
2 1 1
2 0 0
10 6
1 2 2
3 1 1
0 0 1
3 3 1
3 0 1
0 1 3
2 1 2
2 3 3
0 3 2
2 1 3
10 3
0 0 0
2 0 0
2 1 0
0 1 2
1 2 1
2 1 1
1 1 2
1 0 1
0 0 1
2 0 2
10 3
2 2 1
1 3 3
3 2 2
0 0 2
1 2 1
0 2 2
2 3 2
0 0 3
2 1 2
1 3 0
10 9
2 0 2
2 2 0
0 0 1
2 2 1
0 0 2
1 2 1
0 1 2
2 1 0
0 2 1
0 2 2
10 8
3 0 1
1 0 2
2 2 1
3 3 3
0 1 0
3 1 2
0 3 0
3 1 0
3 2 0
0 0 0
10 5
0 1 1
2 0 0
1 2 0
1 0 1
2 1 2
0 1 0
2 0 2
0 2 2
1 1 1
2 1 0
10 4
1 1 3
0 3 3
1 0 0
3 0 0
2 1 2
0 2 3
2 2 1
3 1 0
0 3 1
3 0 1
10 9
2 1 1
0 1 2
0 0 2
1 0 0
1 2 1
2 1 2
1 0 1
1 1 1
1 2 0
1 0 2
10 4
1 0 1
1 0 2
2 1 0
2 0 0
1 0 0
2 2 2
0 0 1
2 1 1
1 2 1
0 2 0
10 5
0 3 0
3 2 0
3 3 0
1 0 0
3 1 1
0 1 0
1 3 3
1 3 1
0 0 1
2 2 3
10 9
3 3 3
0 3 0
1 2 3
2 2 0
2 0 1
1 0 1
2 3 2
3 0 2
0 2 2
1 3 2
10 2
1 2 0
2 0 2
2 0 0
1 2 2
1 0 1
2 1 2
0 0 1
2 0 1
1 0 2
0 1 2
10 7
2 3 1
0 2 3
2 0 0
0 3 3
0 3 2
1 2 3
3 3 2
1 3 1
3 0 0
1 0 2
10 6
2 1 2
1 1 1
2 2 1
0 2 2
2 0 2
1 1 2
2 1 1
0 1 2
0 0 0
2 2 2
10 2
2 0 1
2 0 2
2 2 1
0 0 1
2 1 2
2 1 0
2 2 2
0 1 2
0 2 0
1 0 0
10 2
1 1 3
1 0 2
3 2 1
2 0 3
0 0 2
1 2 1
1 2 3
3 2 0
0 2 2
2 3 0
10 4
1 2 1
2 3 2
0 0 3
0 3 1
0 2 2
2 2 2
0 3 3
3 2 3
1 1 0
2 1 3
10 6
2 2 2
0 0 1
2 2 0
0 2 2
0 1 1
0 1 2
2 1 2
0 0 2
1 0 2
2 1 0
10 7
0 2 0
1 2 0
0 1 1
0 0 1
1 2 2
2 0 1
1 1 1
0 0 2
0 1 0
2 0 2
10 7
0 2 1
2 0 3
1 3 3
0 2 3
3 0 1
2 2 0
1 1 1
3 2 2
0 2 0
1 2 0
10 4
0 2 0
1 0 0
2 0 2
1 0 2
2 1 0
0 0 0
2 2 1
0 0 2
0 2 2
0 1 1
10 4
3 1 0
3 0 3
1 0 2
0 3 3
2 3 2
0 0 0
2 1 0
0 1 0
3 3 2
1 2 2
10 4
2 2 2
0 2 0
0 0 2
1 0 2
0 1 2
1 1 0
2 0 0
0 2 1
1 1 1
2 2 1
10 8
0 1 2
2 0 0
0 2 2
1 0 2
2 0 1
2 2 0
0 0 1
0 2 1
2 0 2
1 2 0
10 7
1 1 2
0 1 2
2 0 0
1 1 1
2 2 0
2 0 1
0 0 1
1 0 0
1 2 1
2 2 1
10 7
1 0 1
2 1 1
0 1 1
2 2 0
0 0 1
1 1 2
1 0 0
0 1 0
2 1 0
0 0 0
10 8
1 0 2
1 1 2
2 1 2
0 1 1
1 0 0
2 2 0
0 0 0
0 2 0
0 1 2
2 2 1
10 3
0 1 2
0 2 1
1 0 0
1 2 2
2 1 0
2 0 0
2 0 2
0 1 0
0 0 0
1 0 1
10 5
1 2 2
0 2 0
2 0 0
0 1 0
0 2 1
0 0 0
1 0 0
2 1 2
0 0 1
1 2 1
10 9
1 3 2
3 2 2
1 2 1
2 0 0
1 0 0
2 2 2
3 3 2
3 1 0
3 2 0
2 3 3
10 2
3 3 1
1 0 3
2 0 1
2 0 3
3 3 3
2 3 3
0 2 2
0 2 3
3 2 1
2 0 0
10 6
0 3 0
1 1 2
1 3 2
0 1 3
0 0 0
0 1 0
2 0 0
0 2 0
2 1 2
2 3 2
10 9
1 3 2
1 2 1
1 0 1
3 1 1
2 0 3
3 2 2
1 3 1
0 2 2
0 1 2
0 0 1
10 2
3 0 2
2 2 0
0 0 0
3 3 1
2 3 1
0 0 3
1 0 3
3 0 3
1 2 3
2 0 1
10 3
2 0 0
1 0 0
2 0 2
2 1 2
0 2 1
2 1 1
0 1 0
1 1 2
2 2 1
1 1 0
10 6
1 3 0
1 2 1
2 2 1
1 0 0
3 0 0
1 3 3
2 3 2
1 1 2
3 1 0
3 0 3
10 6
1 2 3
0 2 0
0 0 0
3 2 3
0 0 2
3 1 3
0 2 3
2 1 3
3 0 2
1 0 3
10 8
1 2 1
1 0 2
1 2 2
0 0 2
2 1 1
2 1 2
2 2 1
0 0 1
1 1 0
2 2 0
10 2
2 1 1
2 0 1
2 2 1
0 0 0
1 0 0
1 2 2
0 0 1
2 2 2
2 0 0
2 2 0
10 2
3 0 0
2 1 1
0 0 2
1 2 2
1 0 3
1 1 0
0 3 0
2 0 2
3 1 2
3 3 2
10 4
0 2 0
2 0 0
2 0 2
2 2 0
2 2 2
0 0 1
2 1 1
1 1 2
0 2 1
1 2 0
10 7
1 2 1
2 0 1
1 0 0
0 1 1
1 3 2
2 2 0
2 1 3
3 3 3
2 1 2
3 2 1
10 5
1 1 1
2 2 1
2 2 2
2 0 2
0 2 2
2 0 0
0 2 1
2 1 2
2 2 0
0 0 2
10 6
1 1 1
0 0 1
3 3 1
1 0 1
0 3 1
0 0 0
0 2 1
2 0 2
2 1 3
3 3 3
10 9
1 1 1
0 0 1
2 0 2
0 1 1
0 0 0
2 2 2
2 1 1
1 2 2
0 2 1
1 2 1
10 2
1 2 2
2 0 3
2 1 3
2 3 3
1 1 1
0 3 0
3 1 1
2 0 2
2 2 1
2 3 1
10 8
1 2 2
3 1 2
1 3 3
0 3 3
3 1 0
0 2 0
2 3 2
1 2 1
3 0 0
0 0 1
10 8
2 3 1
2 2 0
1 3 1
3 3 2
2 3 2
3 0 0
0 3 0
0 1 2
3 1 3
3 2 0
10 9
2 1 1
3 2 2
0 3 2
3 2 3
1 1 3
1 2 1
2 2 3
3 1 2
3 1 1
2 1 3
10 6
0 1 0
2 1 0
2 2 2
1 0 2
1 0 1
1 1 0
2 2 0
1 2 2
2 0 0
1 1 1
10 9
2 1 1
0 2 1
1 0 1
2 3 3
3 3 2
1 1 0
0 0 3
3 2 0
1 1 1
2 2 3
10 3
1 2 2
1 2 0
0 2 0
2 2 1
2 0 0
2 1 2
2 0 2
1 2 1
1 1 1
1 1 2
10 9
0 2 2
0 1 0
3 2 2
1 0 1
0 2 1
3 0 3
0 0 2
1 0 2
0 2 0
2 2 2
10 4
2 1 2
1 0 1
2 0 0
0 2 0
2 0 1
1 1 0
2 1 1
0 1 2
1 0 2
0 2 2
10 9
0 0 0
2 0 1
1 2 2
2 0 0
2 2 2
0 2 0
0 0 3
1 2 0
2 1 2
0 0 1
10 3
1 2 3
1 0 0
0 3 3
3 0 3
0 0 1
1 2 0
1 0 2
1 3 3
2 3 2
3 2 0
10 8
3 2 2
1 0 3
2 0 3
0 3 3
2 0 0
3 2 1
1 3 1
2 2 3
2 3 0
1 0 1
10 2
1 1 2
2 0 2
2 1 2
1 2 0
1 0 1
2 0 0
1 1 1
2 1 1
0 1 0
0 1 2
10 7
2 1 3
0 3 3
1 3 0
3 2 2
1 3 2
0 2 2
1 1 0
0 2 0
3 3 0
1 2 0
10 9
2 1 3
0 0 0
0 2 2
0 1 3
0 2 0
1 0 1
1 2 2
3 3 1
1 1 0
0 3 1
10 5
2 3 1
0 1 3
1 3 1
3 0 0
1 2 2
1 3 0
2 3 0
0 1 1
3 3 2
0 0 1
10 8
2 2 1
0 2 2
0 1 0
2 0 0
1 1 0
1 1 1
2 1 1
1 0 1
0 0 1
0 1 2
10 9
2 0 0
1 0 2
2 1 1
2 2 2
0 1 2
0 2 2
1 1 2
2 1 2
2 1 0
2 0 2
10 9
1 2 1
2 0 0
1 2 2
2 2 1
1 1 0
2 2 0
0 1 2
2 1 1
1 0 1
0 2 1
10 2
2 1 1
1 1 1
0 2 2
1 1 0
1 2 1
1 2 0
2 2 0
0 1 2
1 2 2
2 2 2
10 5
1 3 2
1 2 3
1 1 0
2 0 2
1 0 2
1 3 1
2 0 1
2 3 0
3 2 0
1 3 0
10 9
2 3 2
1 2 0
1 1 3
1 1 0
3 0 1
1 3 3
2 2 3
2 1 2
1 0 2
3 1 2
10 4
0 1 0
2 2 0
2 1 2
1 1 0
2 2 2
2 1 1
0 1 1
1 0 1
1 1 2
2 1 0
10 2
3 1 1
1 3 1
2 1 2
0 2 0
2 3 2
0 1 2
3 3 2
1 1 1
2 0 2
1 0 1
10 6
0 0 0
2 0 2
1 2 1
1 2 2
2 2 1
0 2 2
2 2 0
0 2 0
1 1 2
0 0 2
10 9
1 2 2
2 0 0
2 0 2
1 1 2
0 2 2
0 0 2
0 1 0
0 2 1
1 0 2
1 2 1
10 6
2 3 3
0 2 0
1 2 3
0 1 1
2 1 1
2 2 3
1 1 1
3 0 2
2 0 0
2 3 1
10 8
3 0 2
1 3 3
2 0 3
0 3 0
2 2 0
3 1 1
1 2 2
2 1 0
2 3 2
0 1 3
10 8
1 1 2
0 2 2
1 0 2
0 0 1
2 3 3
2 2 1
0 1 0
1 3 1
1 0 1
1 3 0
10 3
3 0 2
2 1 1
2 2 2
1 3 1
3 3 0
2 0 1
0 2 1
2 0 0
3 3 1
1 1 3
10 7
2 2 0
1 1 1
2 2 2
0 1 1
1 1 2
0 2 0
0 0 1
2 1 2
1 0 2
2 0 0
10 6
2 1 2
2 3 3
3 0 2
2 3 1
1 2 1
1 0 0
1 2 2
3 3 2
0 0 1
3 1 0
10 4
0 2 1
1 1 0
2 0 1
2 2 2
0 0 1
0 0 0
0 1 1
2 0 0
1 1 1
0 1 0
10 8
2 2 3
3 0 2
2 0 3
0 1 3
1 1 2
0 2 1
2 1 1
3 3 0
3 0 1
2 3 3
10 9
1 0 1
0 1 1
0 0 1
2 1 0
1 0 2
0 0 2
0 1 2
2 0 2
2 2 1
2 1 2
10 3
0 1 3
0 1 1
0 3 2
3 0 2
0 2 3
1 1 2
2 0 1
3 1 0
1 0 2
2 2 1
10 8
2 3 1
3 3 3
1 2 1
2 3 3
1 0 3
3 0 1
3 1 2
3 2 3
2 2 0
3 2 0
10 4
1 2 1
0 2 0
1 2 0
1 2 2
1 1 0
2 1 2
2 0 1
0 2 1
1 0 2
0 2 2
10 3
2 0 1
0 2 2
1 0 0
1 2 1
0 0 1
2 0 0
2 1 2
0 2 0
2 1 1
0 0 2
10 7
0 0 0
2 2 1
2 0 0
2 2 0
1 2 0
1 1 0
0 2 0
1 0 1
0 2 1
2 2 2
10 6
1 0 2
1 1 0
0 0 2
2 2 2
2 0 1
0 1 0
1 2 2
1 1 2
0 1 1
2 0 2
10 3
2 1 0
1 1 0
2 0 1
1 2 0
1 2 2
1 0 2
1 2 1
2 1 1
0 1 0
0 1 2
10 4
0 2 1
2 1 2
1 1 0
2 2 1
0 1 1
1 0 0
0 0 2
0 1 2
1 0 2
2 2 0
10 6
3 0 0
3 3 2
0 2 2
2 0 3
3 2 3
2 3 1
0 1 1
2 1 3
2 2 2
3 3 3
10 4
1 0 1
2 0 2
2 2 1
2 2 2
0 1 1
1 2 2
0 2 0
2 2 0
0 0 2
2 1 0
10 5
2 1 1
2 0 0
1 0 0
0 1 1
1 1 2
0 0 0
2 2 0
0 0 2
0 2 0
1 2 1
10 4
0 0 1
3 3 2
2 1 3
0 0 0
2 3 0
3 1 2
2 2 3
3 0 2
0 3 0
1 3 1
10 3
2 3 1
2 2 1
0 2 1
1 1 0
0 0 0
0 3 1
3 1 2
3 0 2
0 1 3
1 1 2
10 4
2 0 2
0 0 1
2 1 1
1 2 0
1 2 2
0 2 0
2 2 2
0 2 1
2 2 1
2 2 0
10 8
2 3 3
1 3 2
3 1 1
0 2 0
3 2 1
0 0 1
0 1 0
2 0 0
1 0 1
2 0 1
10 8
1 1 1
2 0 0
1 0 2
0 2 1
0 2 0
1 2 2
2 2 2
0 0 0
1 0 0
1 1 0
10 3
0 0 1
0 1 1
1 0 2
1 2 0
1 0 0
0 0 2
2 1 0
0 1 2
1 1 2
0 1 0
10 5
0 2 3
0 0 1
1 2 1
1 2 3
3 1 1
2 1 2
3 3 1
0 1 3
0 1 2
3 2 3
10 9
0 0 2
3 2 1
0 0 3
1 0 3
0 3 1
2 3 2
0 3 3
2 3 0
2 2 2
1 3 3
10 4
0 1 1
2 1 1
0 0 1
2 2 2
2 0 3
2 1 0
3 3 1
1 2 2
3 2 2
3 2 3
10 2
1 2 2
2 2 0
0 1 1
1 1 2
1 2 0
0 0 0
1 1 1
2 1 1
1 0 1
0 0 2
10 5
2 0 2
1 0 1
0 1 0
1 1 1
2 2 2
2 1 0
2 0 0
1 2 1
2 2 0
0 0 2
10 7
2 0 1
1 0 1
2 0 2
1 0 2
2 0 0
1 2 0
2 2 1
0 1 2
1 1 2
0 2 2
10 5
3 3 0
2 3 3
3 2 3
0 1 2
1 1 1
2 3 2
0 1 0
0 0 3
1 3 3
1 3 0
10 3
1 3 0
1 0 2
2 1 1
1 1 1
3 0 3
1 1 3
3 1 2
3 3 3
0 3 1
0 0 1
10 9
2 0 2
2 0 0
0 1 0
2 2 1
1 1 2
0 0 2
2 1 1
0 1 1
2 0 1
1 0 2
10 4
3 2 3
1 0 2
0 3 2
1 2 3
3 0 3
3 1 3
1 2 1
2 1 3
2 0 1
3 0 2
10 5
3 2 3
2 2 0
3 2 2
0 2 1
3 3 1
1 3 3
2 3 1
1 0 1
1 2 1
0 2 0
10 2
0 2 1
0 2 0
2 2 2
2 2 0
0 0 1
1 1 0
1 2 1
0 0 2
0 1 0
0 1 2
10 8
1 2 2
0 1 1
1 0 0
0 0 2
2 2 2
0 0 0
1 1 1
1 1 2
1 2 0
2 1 0
10 9
0 2 0
3 2 0
1 3 3
1 1 0
1 0 3
0 0 3
0 1 0
1 0 1
2 3 0
2 0 1
10 2
0 1 2
2 2 2
2 2 1
1 2 2
1 1 1
2 0 0
2 1 1
2 0 2
0 0 1
2 0 1
10 3
0 1 1
1 2 0
3 1 1
2 1 0
3 2 0
2 1 2
1 1 1
3 0 1
3 2 2
0 0 0
10 8
3 2 2
2 3 1
3 1 3
1 2 0
0 2 1
1 1 3
0 2 0
3 0 3
0 3 1
1 1 0
10 7
2 1 2
2 2 1
0 2 0
0 0 2
1 2 0
2 0 1
2 2 0
2 1 1
1 1 1
1 2 1
10 3
0 1 1
2 1 0
0 0 0
1 1 1
2 2 1
0 1 2
1 0 0
1 2 2
0 2 0
0 0 1
10 3
1 0 1
2 0 1
1 1 1
1 0 2
0 1 2
0 0 0
2 0 2
2 1 1
2 1 0
1 0 0
10 5
1 3 0
2 2 3
3 3 1
0 0 3
0 1 1
2 0 1
1 2 1
2 3 1
3 1 3
1 1 0
10 2
2 3 3
0 3 0
2 0 3
0 2 1
0 3 2
2 1 1
3 3 1
1 3 0
3 0 1
1 0 3
10 9
1 0 2
0 0 3
0 2 0
1 0 1
0 3 1
0 3 0
1 1 3
3 2 2
2 2 1
1 1 2
10 4
0 3 2
2 1 3
0 1 3
1 2 3
0 2 3
3 2 0
2 0 2
3 2 2
0 2 0
3 3 1
10 6
2 0 3
3 0 0
3 0 1
2 3 1
1 1 1
0 1 0
2 2 1
1 3 2
1 2 2
1 3 3
10 7
2 0 2
0 2 2
2 1 1
0 0 0
0 1 1
1 1 0
1 2 2
1 1 2
1 0 2
0 2 0
10 7
1 2 0
2 1 1
1 0 2
0 2 1
0 0 2
1 1 0
1 0 0
2 1 2
2 2 0
1 1 2
10 5
1 0 2
1 2 0
2 0 2
0 2 1
0 1 2
2 1 1
1 1 2
2 1 0
1 2 1
2 1 2
10 2
0 0 0
0 0 2
1 2 2
1 1 0
0 2 0
2 0 2
1 0 1
0 2 1
1 0 2
0 1 1
10 3
2 1 0
1 1 0
2 1 2
2 2 0
2 2 2
0 1 2
0 2 2
2 2 1
2 1 1
1 0 2
10 6
0 2 0
2 2 1
1 2 0
2 2 2
0 1 0
2 1 0
1 0 0
2 1 2
1 1 1
2 0 2
10 3
3 0 0
0 3 2
1 0 2
3 1 3
3 0 1
3 1 2
2 0 1
1 2 0
0 2 1
3 3 2
10 5
0 0 2
1 0 2
2 1 0
0 1 2
0 0 0
1 1 0
1 2 0
0 2 2
1 0 0
2 2 2
10 8
2 0 2
1 0 1
0 1 2
1 2 1
2 1 0
0 1 0
1 0 0
2 0 0
1 0 2
2 2 0
10 2
3 1 2
2 3 3
2 3 0
0 3 1
1 2 3
2 3 1
0 3 2
1 0 0
1 3 1
2 2 2
10 9
0 2 1
1 1 1
0 1 1
0 1 0
0 0 2
2 3 0
1 3 3
1 3 0
2 1 3
0 1 3
10 7
0 2 1
2 0 2
2 2 1
2 1 1
1 0 2
2 1 2
0 2 2
2 2 0
1 1 1
0 1 0
10 8
3 1 0
3 2 0
3 3 3
2 1 2
3 3 2
0 0 3
0 0 0
2 3 3
0 2 2
0 1 0
10 5
3 1 1
3 1 3
0 2 1
1 3 0
3 3 2
2 2 0
2 1 0
3 1 2
3 0 0
0 0 1
10 8
0 0 0
1 1 2
0 2 0
1 2 0
1 0 0
0 1 0
2 0 0
0 1 1
2 0 1
0 0 2
10 5
1 0 2
2 2 2
0 1 0
1 2 2
1 1 1
1 0 0
1 1 2
2 0 0
2 1 2
2 2 1
10 8
0 1 3
2 2 1
1 0 2
0 1 2
1 3 2
2 2 3
1 2 2
1 3 1
2 0 3
1 0 3
10 9
2 0 2
2 2 1
0 2 1
2 1 2
1 0 0
1 1 0
0 1 1
0 0 2
2 1 0
2 1 1
10 6
2 0 1
0 1 0
1 2 1
1 2 0
0 1 1
0 2 0
2 0 2
1 0 0
2 1 1
2 2 2
10 9
1 1 0
3 1 1
2 0 0
1 3 3
3 3 3
3 1 2
0 3 3
1 3 0
3 1 3
3 3 0
10 2
3 1 0
3 0 2
2 0 2
3 3 1
0 2 2
1 3 0
0 0 2
2 0 0
0 1 0
2 2 3
10 6
1 1 2
0 0 2
1 2 0
1 0 2
0 1 0
0 2 0
1 2 1
2 1 2
1 1 1
0 0 1
10 9
2 1 0
2 2 2
2 0 0
1 1 2
2 2 1
1 2 2
0 1 2
1 2 1
0 1 0
0 2 0
10 9
1 1 1
0 1 0
1 2 0
0 0 0
1 2 1
2 1 2
0 0 1
2 0 0
2 0 2
0 1 2
10 3
2 0 1
0 0 2
0 1 2
0 2 2
0 0 0
1 0 0
0 2 1
2 0 2
2 2 0
0 0 1
10 7
1 1 1
1 0 1
2 0 2
1 0 2
2 2 1
0 0 1
1 0 0
0 2 1
1 2 0
0 1 1
10 3
1 0 0
0 1 1
1 2 1
2 0 2
1 0 2
2 0 1
2 0 0
2 2 0
2 1 2
1 0 1
10 6
0 2 0
0 2 2
2 0 1
1 2 1
0 0 0
2 2 0
2 2 2
2 1 0
1 2 2
1 0 0
10 6
2 2 3
0 3 1
1 1 0
2 2 2
0 1 2
0 3 2
3 0 3
2 2 0
3 0 1
0 1 3
10 5
0 2 2
1 1 1
0 0 1
1 2 2
0 1 2
1 1 0
2 2 2
0 0 2
1 1 2
2 1 1
10 2
3 0 0
0 1 0
0 3 0
2 3 1
3 3 1
0 0 1
0 2 3
0 0 0
3 0 1
3 1 0
10 4
0 1 1
0 1 2
1 0 1
1 2 1
1 2 2
0 1 0
0 2 0
1 0 2
0 2 2
1 2 0
10 9
2 2 2
0 0 1
0 0 2
1 1 1
1 0 0
1 2 1
1 2 2
2 0 1
0 2 0
2 2 1
10 7
0 3 3
1 3 3
0 2 0
1 2 0
2 2 2
3 1 2
0 0 3
3 3 1
0 1 1
1 0 0
10 8
2 2 3
2 3 3
0 2 3
0 0 0
2 1 3
1 1 1
0 1 2
2 1 0
2 2 1
0 1 1
10 3
0 3 0
0 0 3
3 0 3
1 0 0
0 2 2
1 3 2
3 3 3
3 2 3
0 0 2
0 2 3
10 7
0 1 0
0 1 3
0 2 1
0 0 3
2 3 3
1 1 1
2 0 1
3 2 3
2 0 0
1 2 1
10 4
3 1 2
2 1 2
1 3 1
1 1 1
2 0 1
1 2 1
1 0 3
1 1 0
2 3 0
2 3 2
10 2
0 0 1
2 1 2
2 2 1
1 1 0
1 0 1
1 1 1
0 2 2
2 2 0
2 2 2
1 0 0
10 2
3 2 2
2 3 0
1 3 0
1 3 1
0 3 1
0 0 0
2 3 2
2 0 2
0 2 1
3 1 3
10 9
2 0 2
2 1 1
0 2 0
1 0 0
2 2 2
0 0 1
0 2 2
0 0 2
0 0 0
2 0 1
10 4
1 2 2
0 2 1
1 0 2
2 0 0
2 1 0
0 1 1
0 2 2
1 1 0
0 1 2
2 2 2
10 5
1 0 0
1 1 1
1 0 1
2 2 2
2 2 1
2 0 0
2 2 0
1 2 1
0 2 1
0 0 0
10 9
2 1 2
0 2 1
2 3 0
0 2 2
3 3 3
2 1 3
1 3 2
1 3 0
0 1 0
1 1 2
10 4
1 2 0
2 2 0
0 0 2
0 0 1
0 2 2
1 0 1
0 2 1
2 1 1
0 1 2
0 1 1
10 9
0 0 0
2 0 1
1 2 0
1 2 2
0 2 0
1 1 1
2 2 1
0 1 1
1 0 0
2 1 0
10 7
2 3 2
0 2 1
3 0 1
2 0 0
1 3 2
3 0 2
0 0 2
0 3 1
3 0 0
2 1 3
10 4
3 3 1
1 3 1
3 1 2
2 2 1
0 0 0
3 1 0
0 0 2
2 3 0
1 2 1
0 1 3
10 8
1 0 1
1 1 0
2 2 1
1 1 1
1 1 2
2 1 1
1 2 1
0 1 1
0 0 0
0 1 2
10 6
2 0 1
0 2 2
1 0 0
2 2 0
0 0 1
0 2 1
1 2 0
0 2 0
1 1 1
1 0 1
10 8
1 0 3
2 3 1
2 0 0
2 1 1
2 1 2
2 2 0
3 2 0
1 2 2
0 2 3
0 2 0
10 9
0 0 1
1 0 0
0 0 0
0 2 0
1 2 1
1 0 1
2 2 0
2 1 2
1 1 2
2 2 1
10 3
1 0 2
1 0 1
0 0 2
2 0 2
0 2 1
0 2 0
1 2 0
2 1 2
0 2 2
1 1 0
10 3
2 0 2
1 1 0
0 0 1
2 2 0
0 2 0
2 0 0
1 0 2
0 1 1
2 0 1
1 0 1
10 3
1 1 1
2 0 1
1 2 0
0 3 1
3 3 3
0 3 0
1 0 3
0 1 0
3 3 0
0 2 0
10 9
0 1 1
0 3 3
1 2 0
2 2 1
1 2 3
2 2 0
1 1 2
0 0 2
0 3 1
1 0 0
10 2
1 3 0
3 3 0
1 0 3
2 2 3
2 3 0
2 2 1
0 3 2
1 3 3
2 3 2
0 1 2
10 2
0 0 3
1 1 3
1 0 3
1 1 2
2 0 0
3 1 1
1 1 1
0 1 3
0 0 2
2 3 0
10 2
3 1 3
1 1 1
1 1 0
1 2 1
2 2 3
1 2 0
3 3 2
3 0 3
0 1 3
1 0 2
10 5
2 1 0
1 1 3
2 3 0
3 2 0
3 0 2
0 1 2
3 1 2
1 1 2
1 3 0
0 3 1
10 4
1 1 2
2 1 1
3 1 0
0 0 2
1 2 0
3 0 1
3 0 2
0 3 3
2 2 1
0 3 0
10 4
3 3 1
0 0 3
2 1 2
0 3 1
3 3 3
0 1 1
2 2 3
1 0 0
1 3 3
2 1 0
10 6
2 1 2
1 3 1
3 0 3
0 2 2
2 3 3
0 0 3
0 1 2
0 2 0
2 2 2
1 3 0
10 4
0 1 1
0 0 1
1 2 0
2 1 0
2 2 1
1 2 1
0 2 2
2 2 2
1 0 0
1 0 2
10 7
1 0 3
1 2 0
0 1 3
1 2 3
3 3 2
3 3 1
2 2 3
2 0 1
0 0 3
3 1 0
10 7
3 3 1
0 2 3
0 3 0
2 0 1
3 1 0
1 3 0
0 1 1
3 1 2
2 3 1
1 2 2
10 4
1 1 2
0 1 0
2 0 2
1 2 2
0 2 0
2 1 0
1 0 0
2 2 2
0 2 2
2 2 1
10 5
0 1 0
1 1 1
0 2 1
1 0 2
2 2 1
0 1 2
0 2 2
1 2 0
0 2 0
2 2 0
10 5
1 1 1
2 1 2
2 0 2
2 2 1
2 0 1
2 1 1
1 0 0
1 0 1
0 0 1
1 0 2
10 3
0 0 1
0 2 2
0 1 1
1 2 0
1 1 1
0 1 2
1 2 2
0 2 0
1 1 2
1 2 1
10 6
1 0 1
0 2 2
1 2 2
0 1 2
2 1 0
0 1 0
2 2 0
0 1 1
1 0 0
0 0 2
10 7
2 1 1
2 1 0
2 0 1
2 2 1
1 1 0
0 1 2
0 0 1
0 1 1
2 0 2
0 2 2
10 6
1 2 1
2 0 0
2 0 2
1 0 2
0 0 2
0 0 1
1 1 2
2 1 2
0 1 1
2 2 1
10 4
1 3 0
2 0 3
3 2 3
2 0 2
3 0 1
1 1 3
1 0 0
1 3 1
1 3 2
0 2 1
10 8
0 1 0
2 1 1
0 2 1
2 2 2
1 0 2
1 2 2
2 0 1
1 1 1
0 1 2
0 0 1
10 5
1 2 0
2 2 1
2 0 1
2 1 0
1 2 2
0 0 2
1 1 0
0 0 0
1 1 1
2 2 0
10 8
0 0 0
1 0 2
2 0 0
2 1 1
0 2 1
2 0 1
2 2 1
1 2 1
2 0 2
1 1 2
10 7
2 2 0
0 1 0
1 2 0
2 1 2
1 0 2
2 2 2
0 1 2
1 1 1
1 0 0
1 2 1
10 3
0 2 0
0 0 1
0 0 0
0 0 2
0 2 1
2 1 0
1 1 2
2 0 0
2 0 2
2 1 1
10 4
0 2 0
0 1 2
2 0 2
0 1 1
0 0 2
2 2 1
1 0 0
1 1 0
2 0 0
0 0 0
10 7
1 3 3
0 0 1
3 0 1
0 1 0
0 2 2
2 1 3
3 3 2
3 2 0
1 1 0
2 1 2
10 4
1 2 0
2 1 0
0 0 1
0 0 0
2 1 2
0 1 1
2 1 1
0 0 2
0 2 0
1 1 0
10 8
1 0 0
2 2 0
1 2 1
2 1 0
1 1 1
1 2 0
2 0 0
2 1 2
1 1 2
0 2 1
10 8
2 1 1
1 2 1
1 0 1
2 1 2
2 2 1
0 2 2
2 2 0
1 2 0
0 1 2
1 2 2
10 2
1 0 0
0 1 2
1 0 1
2 0 0
0 0 1
2 1 1
1 1 2
2 2 1
2 0 2
0 2 1
10 4
0 2 1
0 0 2
2 1 0
1 2 2
1 0 1
0 1 0
2 0 1
1 2 1
1 1 1
0 0 0
10 5
2 2 1
1 0 1
0 1 1
2 2 2
0 1 0
1 0 2
0 0 0
1 1 0
2 1 2
0 2 0
10 7
3 0 2
1 3 2
1 2 0
0 2 1
1 0 3
3 3 2
3 2 3
2 0 3
0 3 0
2 3 3
10 7
0 3 2
0 0 1
0 0 3
3 0 1
0 2 0
2 3 2
0 1 0
0 0 2
1 3 1
2 3 3
10 7
2 1 1
2 0 1
1 1 2
0 0 1
0 0 2
1 2 2
0 2 1
0 2 2
2 2 2
0 2 0
10 4
1 1 0
1 1 1
1 2 0
0 1 0
1 1 2
2 1 0
2 0 0
0 2 2
0 2 0
2 1 2
10 6
0 1 2
0 0 1
2 0 1
2 2 1
1 0 1
0 1 0
2 1 1
0 2 1
1 2 1
1 2 0
10 5
2 1 2
1 2 0
1 1 2
0 0 1
1 0 2
2 0 0
2 1 1
0 2 0
1 0 1
0 1 2
10 3
2 1 1
1 3 2
3 0 3
0 3 0
2 0 1
2 0 2
3 0 0
0 2 3
3 2 0
1 2 1
10 8
3 0 3
1 0 3
0 3 3
1 2 2
2 3 1
0 3 1
3 0 1
0 0 1
0 1 2
3 3 2
10 5
0 1 0
0 2 3
0 3 0
2 0 2
0 0 0
2 1 3
2 2 1
0 0 2
3 1 3
2 3 1
10 9
1 1 1
0 1 2
0 2 2
2 2 2
0 0 2
0 1 1
1 1 2
0 0 0
0 2 1
2 1 0
10 8
1 0 3
2 3 1
1 2 0
1 2 2
3 2 0
1 1 3
0 1 3
3 0 3
1 0 1
3 0 0
10 8
1 1 2
0 1 0
2 2 0
0 2 1
2 1 1
1 2 2
2 1 2
1 0 1
2 1 0
0 0 1
10 2
0 1 2
2 0 2
0 0 2
2 2 3
3 3 2
1 1 1
1 0 2
2 1 1
3 0 2
0 2 2
10 9
1 3 0
1 0 3
0 1 2
2 1 3
1 0 1
2 2 2
3 3 2
1 0 0
2 2 0
3 0 3
10 4
1 0 0
0 1 2
0 2 1
2 0 2
1 2 1
1 0 1
2 1 0
1 2 0
2 1 1
0 0 1
10 7
1 0 1
2 2 0
2 0 1
1 2 1
2 0 0
2 1 1
0 1 2
1 1 0
0 0 1
0 0 0
10 4
0 2 2
2 1 1
3 0 2
0 3 1
3 3 0
2 3 2
1 2 2
2 2 1
0 0 3
1 3 1
10 8
3 3 2
1 3 2
1 3 0
0 3 2
1 3 1
2 3 1
1 2 0
2 0 1
1 1 3
3 2 3
10 9
1 2 2
0 0 0
1 0 0
1 1 0
0 2 2
0 1 2
1 2 1
1 1 2
1 2 0
0 0 2
10 5
2 0 2
1 0 0
3 2 1
3 0 1
2 2 0
1 0 2
3 2 3
0 0 0
1 3 2
1 1 2
10 4
3 2 0
1 3 3
1 3 1
0 0 1
1 2 0
3 2 3
3 3 1
0 1 0
3 3 2
1 0 0
10 6
2 1 2
2 0 2
1 2 0
0 1 1
0 0 1
1 1 2
0 2 0
2 1 0
1 2 2
2 0 0
10 3
2 1 0
1 1 1
0 0 1
0 1 0
0 2 2
1 2 2
1 2 0
2 1 1
0 0 2
2 1 2
10 6
1 0 1
2 3 0
0 1 0
3 3 0
1 3 0
1 2 0
0 1 3
2 2 1
2 0 3
3 0 3
10 3
3 3 3
3 1 1
3 0 2
0 0 2
3 3 0
1 3 1
0 0 0
2 1 3
2 3 0
0 3 3
10 3
2 3 0
2 2 3
0 0 1
3 0 3
0 1 1
2 0 3
1 0 0
3 1 0
3 1 3
0 2 3
10 6
0 0 2
0 3 1
2 0 2
1 2 2
0 1 1
3 2 2
1 2 3
3 0 2
0 1 2
3 0 3
10 4
2 3 2
1 3 1
3 0 1
0 1 3
0 1 2
2 1 0
2 2 3
2 0 1
2 3 1
0 2 2
10 4
0 2 1
0 0 1
1 2 1
2 2 2
2 1 0
1 0 0
0 0 0
1 2 2
0 2 0
0 1 0
10 8
1 1 1
0 2 0
0 1 2
0 0 1
1 1 0
0 0 0
1 0 0
2 0 2
2 1 2
0 0 2
10 9
1 0 1
1 2 1
0 0 0
2 2 2
1 1 1
0 0 2
0 1 1
2 0 0
0 1 0
2 0 1
10 9
1 1 0
3 2 1
3 0 1
2 2 2
1 3 3
3 3 2
1 0 1
1 2 0
1 1 3
0 3 1
10 8
1 0 2
0 0 1
2 0 1
0 2 0
2 2 2
0 2 1
1 2 1
1 0 1
1 1 2
2 2 1
10 8
2 1 2
2 2 2
0 0 2
0 0 1
2 0 0
2 1 1
0 1 1
1 0 2
0 2 0
1 2 1
10 9
2 0 1
1 1 0
0 0 1
0 1 2
0 1 0
0 0 0
1 0 1
2 0 0
1 2 1
0 2 1
10 9
2 3 0
1 0 2
0 1 0
0 0 2
2 1 0
2 3 3
1 0 0
2 3 1
0 3 1
0 1 2
10 4
0 0 0
2 1 3
1 0 0
3 2 1
2 3 3
2 3 1
1 0 3
2 1 1
1 2 2
0 1 1
10 3
1 1 1
2 2 0
0 1 1
0 1 0
2 0 2
2 0 0
1 0 1
1 2 2
1 2 1
0 0 2
10 4
0 2 3
1 2 0
1 0 3
3 0 2
1 3 0
2 2 2
2 0 2
0 3 3
2 0 3
3 1 2
10 6
1 0 2
3 1 1
2 1 2
2 2 2
0 1 3
2 1 0
1 0 0
0 2 2
1 0 3
1 1 1
10 2
0 2 1
1 0 1
1 1 0
2 0 0
1 2 0
0 0 1
0 1 0
0 0 2
2 1 1
2 1 2
10 5
0 0 2
0 2 1
2 1 0
0 0 1
2 1 1
0 2 0
0 2 2
0 1 0
1 0 1
2 0 1
10 6
1 0 1
2 2 1
2 0 1
0 1 2
0 1 1
1 2 1
2 1 0
0 0 2
1 1 2
0 1 0
10 6
2 1 0
2 2 1
0 1 0
2 0 2
2 1 1
2 2 0
1 2 2
1 2 0
1 1 1
0 1 2
10 6
0 0 2
2 1 0
1 1 0
1 0 1
0 1 1
0 1 2
2 0 1
2 2 2
1 1 1
1 2 2
10 7
2 2 0
1 2 1
0 3 2
0 0 2
3 2 1
3 0 2
0 2 1
3 1 2
1 3 3
3 2 3
10 9
3 0 0
2 0 1
1 2 3
3 0 1
2 3 1
1 2 0
2 0 2
0 2 0
0 1 3
2 2 0
10 2
2 0 2
1 0 2
0 2 1
0 0 2
1 1 0
1 2 0
0 1 1
2 1 0
1 0 0
1 1 1
10 8
1 0 2
0 2 1
1 2 2
2 1 2
1 2 1
1 0 0
2 1 0
1 1 1
1 1 0
1 1 2
10 4
0 2 1
2 0 0
0 2 2
1 2 0
2 0 1
1 2 1
0 1 0
1 1 1
1 1 2
2 1 2
10 8
2 1 0
1 3 3
0 2 1
0 3 0
2 3 3
0 1 2
3 1 3
1 2 3
0 3 2
3 2 3
10 8
0 0 2
0 0 0
2 0 1
2 2 2
0 1 1
2 0 2
2 1 2
1 1 2
1 1 0
0 0 1
10 8
3 3 0
0 0 2
3 0 2
2 3 2
1 1 2
1 3 1
0 1 0
3 0 1
3 0 0
0 1 2
10 3
0 2 0
1 1 2
0 0 2
2 0 1
2 2 2
2 2 1
0 1 2
2 1 2
1 1 1
1 0 1
10 5
2 1 0
2 2 0
1 0 2
2 0 1
0 1 0
2 0 0
1 2 1
0 1 1
2 1 2
2 2 1
10 7
1 3 1
1 3 2
3 2 2
3 3 0
3 2 3
0 1 1
1 1 1
3 0 1
1 3 3
0 3 2
10 4
1 0 1
1 1 1
2 1 0
1 2 0
0 2 0
1 1 0
2 0 1
2 2 1
0 1 0
2 0 2
10 3
2 1 2
1 0 1
0 2 2
3 0 2
3 1 0
3 2 2
2 3 1
0 1 0
2 1 0
1 3 0
10 8
0 0 2
1 2 2
1 0 0
0 1 1
1 2 1
0 0 1
2 0 1
2 1 1
1 1 1
2 2 1
10 6
2 0 0
2 1 0
1 2 2
1 2 0
1 0 1
1 1 1
0 2 1
0 0 0
0 2 2
2 2 0
10 2
3 2 2
1 0 1
0 0 1
2 0 2
3 3 0
0 1 3
3 1 0
3 2 1
0 0 3
3 0 0
10 4
3 2 0
0 3 1
1 3 2
0 2 1
2 1 0
0 1 3
3 0 0
0 2 0
1 0 2
3 3 1
10 8
1 3 0
0 2 2
2 0 2
3 0 3
2 2 0
1 2 2
0 0 1
1 2 3
3 0 2
1 1 0
10 3
2 2 0
1 2 2
2 0 0
1 1 2
1 1 1
2 1 2
2 2 1
0 2 0
2 2 2
1 0 0
10 6
2 2 0
2 0 0
2 1 0
1 0 1
0 0 2
1 2 2
2 0 1
2 2 1
0 0 0
2 1 1
10 7
0 0 0
1 0 1
1 1 0
0 1 2
2 2 2
2 1 0
2 1 2
1 1 1
0 2 2
0 0 1
10 9
0 0 2
0 0 0
0 2 2
1 2 2
1 1 0
0 1 1
0 0 1
2 2 1
2 0 1
0 1 0
10 4
2 2 0
0 2 2
2 1 0
0 2 0
0 1 2
2 1 1
2 1 2
2 2 1
1 1 2
2 0 0
10 2
2 0 1
0 3 2
2 3 1
1 2 1
2 1 3
1 1 2
3 0 1
2 2 3
3 3 1
0 2 2
10 7
3 0 2
0 2 1
0 0 1
1 0 0
1 3 0
1 0 1
1 3 1
3 0 3
1 2 3
3 2 1
10 6
1 1 1
0 2 2
0 0 1
0 1 1
1 2 2
0 0 2
2 0 0
0 1 2
0 2 1
1 1 2
10 6
2 0 1
1 3 2
1 0 2
2 3 3
3 2 2
0 1 0
1 3 1
0 0 1
2 2 0
2 0 2
10 7
2 2 3
3 1 0
2 2 1
2 1 3
1 1 0
0 0 2
1 1 3
2 3 0
1 2 0
3 2 3
10 2
0 1 0
1 1 0
1 2 1
2 2 1
0 2 2
0 0 0
0 0 2
1 0 0
1 0 1
1 2 0
10 2
1 1 0
2 0 2
0 1 2
0 0 2
2 0 1
1 0 1
0 2 0
1 1 2
0 1 0
0 0 1
10 8
1 1 0
2 0 0
2 1 0
2 1 2
0 0 1
0 0 0
0 2 1
0 1 2
1 1 2
2 2 1
10 8
3 0 1
1 3 0
0 1 0
0 2 1
0 1 1
1 1 2
3 1 2
3 1 0
1 2 3
0 0 3
10 5
2 1 0
2 2 2
0 2 1
0 2 2
1 1 1
1 1 0
0 0 2
1 0 1
2 0 1
2 0 2
10 9
1 0 0
2 0 2
0 0 2
2 1 0
1 2 2
0 1 0
0 0 1
1 0 1
1 0 2
1 1 1
10 8
2 1 2
0 3 1
3 0 2
0 3 3
3 3 2
0 1 1
0 0 2
2 3 0
3 1 3
1 3 2
10 4
2 1 1
2 1 2
1 2 2
1 0 1
2 2 0
2 1 0
0 0 1
1 1 0
0 2 0
1 2 0
10 6
0 0 1
2 2 0
1 1 0
1 0 0
1 1 2
2 1 2
0 0 0
2 2 2
2 1 1
2 0 0
10 8
1 3 2
0 3 1
3 1 3
1 2 1
2 3 2
1 2 0
1 1 2
0 1 0
1 0 1
1 0 0
10 2
1 0 1
1 1 2
1 0 0
0 2 2
1 2 1
2 1 2
1 0 2
2 0 2
2 1 0
0 2 1
10 3
1 3 1
3 2 2
3 1 0
1 3 3
0 1 3
2 2 1
1 2 2
1 0 3
3 2 3
2 0 2
10 5
2 1 1
0 1 0
2 2 1
1 1 2
2 0 1
2 2 2
0 1 2
1 0 1
1 1 0
0 1 1
10 5
2 0 1
1 2 2
0 0 0
2 1 2
0 2 2
0 2 1
1 1 1
0 1 2
0 1 1
2 2 1
10 2
2 2 1
1 1 0
2 1 1
2 0 0
1 2 1
1 2 2
1 1 2
0 0 1
0 2 1
1 1 1
10 9
3 0 2
2 1 0
0 2 1
1 2 2
0 3 0
1 1 2
2 1 3
1 2 0
1 0 0
3 1 0
10 3
2 0 0
0 2 1
1 2 1
2 0 2
1 1 2
2 1 1
2 0 1
0 0 1
1 2 0
2 1 2
10 4
1 1 2
2 0 3
2 2 1
1 0 0
3 2 2
2 0 0
0 1 1
3 3 0
3 0 2
2 3 3
10 9
0 2 2
1 3 3
3 1 3
2 1 3
3 2 2
2 1 1
0 1 1
1 1 2
1 2 3
2 2 3
10 4
0 2 0
2 2 0
2 1 0
0 1 0
1 0 1
0 1 2
2 2 2
2 0 0
1 1 1
2 1 2
10 7
2 0 3
0 3 3
0 1 2
0 2 2
0 0 1
1 3 3
2 2 0
1 0 0
1 2 2
1 3 1
10 2
2 2 0
0 2 1
0 0 0
1 2 2
0 1 0
1 0 2
0 2 2
1 1 1
2 1 1
1 2 1
10 3
0 2 2
2 0 2
0 1 2
1 2 1
0 0 2
2 1 0
2 1 2
1 0 2
1 0 1
1 2 2
10 4
1 1 0
1 2 2
2 0 0
1 0 2
0 2 1
1 0 0
1 2 1
2 1 0
0 1 2
0 1 0
10 6
3 1 1
0 1 2
0 3 3
1 1 1
0 0 1
1 0 3
2 0 3
3 1 0
2 0 0
2 2 0
10 5
3 2 2
3 2 0
1 1 1
3 3 0
2 2 3
1 0 3
2 0 2
0 2 1
2 1 1
1 3 3
10 2
1 1 2
1 2 1
2 2 2
1 1 0
2 1 1
0 2 1
0 0 0
2 1 0
1 2 2
1 2 0
10 7
0 1 3
2 3 3
1 1 3
2 0 3
2 3 1
2 1 2
0 3 3
1 2 1
2 1 1
1 3 3
10 8
2 1 1
1 2 2
3 0 2
1 1 3
0 1 1
2 1 2
2 0 2
0 0 0
0 3 1
2 2 2
10 5
1 2 2
0 2 2
2 0 0
2 2 1
2 2 0
2 1 1
1 1 2
1 0 0
0 0 2
2 0 2
10 3
1 0 0
3 3 3
1 1 3
3 0 2
0 3 0
0 1 3
2 1 0
1 3 0
1 1 1
2 3 2
10 3
3 3 1
0 1 2
0 2 0
1 2 2
0 2 1
0 3 0
2 2 2
0 3 1
0 1 3
0 2 2
10 5
1 2 2
3 3 0
0 3 3
1 1 2
2 0 1
1 2 3
2 2 2
0 1 0
1 3 1
3 3 1
10 6
0 0 2
0 1 0
0 0 1
0 1 2
1 1 1
2 1 0
1 1 2
2 0 0
0 0 0
0 2 0
10 6
2 0 1
3 1 3
3 3 0
0 0 0
1 3 0
3 0 3
1 1 1
1 1 3
0 2 3
1 0 2
10 7
1 1 2
0 1 2
1 3 2
3 2 2
1 3 1
3 3 3
3 3 0
1 2 2
2 0 1
2 0 2
10 8
3 0 2
3 1 3
1 1 2
3 3 1
1 1 1
3 2 1
3 2 0
3 0 3
0 3 3
3 3 2
10 8
1 0 0
1 2 0
0 1 3
2 1 0
0 2 0
0 3 3
3 1 2
2 3 0
0 0 0
2 3 2
10 7
3 3 2
2 1 1
1 1 1
0 3 2
0 0 3
0 3 3
2 2 1
2 2 2
1 3 1
2 1 3
10 4
2 2 1
0 2 0
0 1 1
0 2 1
1 0 0
2 1 1
0 1 0
0 0 0
0 0 2
0 2 2
10 4
3 1 3
2 0 3
0 0 3
1 0 0
0 1 0
0 0 0
3 2 3
0 0 1
3 3 1
2 1 0
10 9
1 2 1
1 1 1
2 1 2
1 0 0
2 2 0
0 2 2
2 2 1
1 2 2
2 2 2
2 0 1
10 4
2 1 0
2 1 3
1 2 0
0 1 0
2 0 2
3 1 3
1 3 3
1 3 0
0 3 2
0 2 0
10 3
2 2 3
3 2 0
2 3 1
2 0 0
2 3 0
2 3 2
0 3 1
2 0 2
0 2 1
1 3 1
10 6
1 1 1
1 1 2
1 0 2
2 1 2
0 0 0
0 2 2
2 0 0
0 0 1
2 0 1
1 0 1
10 5
1 3 3
0 0 2
1 2 3
1 3 1
2 3 2
2 1 3
1 1 3
2 0 2
3 2 1
1 0 3
10 7
1 2 0
3 1 2
3 2 2
2 1 0
1 3 1
1 1 2
2 2 0
1 0 3
0 0 2
3 1 0
10 9
2 1 1
1 1 0
2 1 2
0 1 2
0 0 1
1 1 2
1 0 0
1 0 2
0 1 0
0 2 0
10 5
2 0 0
0 2 0
2 1 2
1 0 2
2 2 2
1 0 0
0 1 1
1 2 2
0 2 1
1 2 0
10 5
1 0 2
0 1 0
3 3 3
1 1 2
0 1 1
2 2 0
1 0 0
2 1 1
2 2 1
1 0 1
10 2
2 0 3
2 2 1
1 1 1
3 0 2
1 1 2
0 0 2
1 3 2
3 3 2
1 3 3
1 1 3
10 3
3 3 0
2 2 2
2 0 1
3 0 2
0 1 2
0 2 0
0 1 0
3 3 3
3 3 2
1 2 0
10 5
3 2 0
3 2 3
1 3 2
0 1 1
2 2 1
1 1 1
2 3 2
3 1 0
2 1 2
3 0 2
10 3
0 2 1
3 3 0
3 2 3
1 0 2
2 1 3
3 3 1
0 1 3
2 3 0
1 3 2
3 1 1
10 5
3 0 2
1 1 3
0 1 1
3 3 1
2 2 0
1 2 2
2 1 2
3 2 0
3 3 0
0 1 2
10 3
3 1 0
1 1 0
3 0 1
1 0 3
3 3 1
0 1 1
1 2 0
0 0 3
2 1 3
0 0 0
10 9
0 0 1
1 1 1
2 1 1
2 0 1
1 0 1
0 2 2
0 2 1
2 0 2
1 2 1
1 2 0
10 3
2 1 1
1 1 2
2 1 0
0 2 0
2 2 2
0 1 1
2 0 1
2 2 0
1 2 1
1 0 2
10 3
1 1 2
0 0 1
1 0 1
1 2 0
2 1 0
1 1 1
0 2 2
2 0 0
0 1 1
2 2 1
10 4
2 1 1
0 0 0
2 1 0
1 0 0
0 1 1
1 1 0
2 2 1
1 0 2
1 0 1
0 2 1
10 8
2 3 0
0 2 2
1 1 3
0 3 2
2 3 3
0 1 3
3 1 1
1 3 1
2 0 2
0 0 0
10 7
2 1 3
2 2 1
2 3 0
3 3 1
3 2 1
1 3 1
0 0 0
3 1 2
2 3 1
0 0 1
10 6
2 0 0
0 0 0
1 0 2
2 2 0
0 2 0
0 0 1
2 1 1
0 2 1
1 1 1
1 2 2
10 2
2 1 2
0 2 1
1 0 2
0 0 1
0 1 2
0 1 1
2 0 1
2 0 2
1 2 0
1 0 1
10 8
3 1 2
0 3 1
1 2 0
1 0 2
0 0 1
3 3 3
0 0 3
3 1 0
1 2 3
1 3 1
10 2
0 2 2
1 1 2
0 2 0
0 0 1
1 2 0
1 0 1
1 2 1
2 2 0
2 2 2
2 2 1
10 7
3 3 0
0 3 0
2 0 3
2 1 2
1 3 2
2 1 3
1 2 1
3 1 3
1 3 1
1 3 0
10 4
1 1 1
2 2 0
2 1 1
1 2 2
0 1 1
2 0 1
2 2 2
2 1 2
1 0 2
0 2 1
10 8
3 0 1
0 3 1
3 1 3
1 3 3
1 1 2
2 3 2
0 0 1
2 2 1
2 3 1
2 3 3
10 7
0 2 0
1 2 0
0 0 2
0 2 1
1 1 0
1 0 2
1 2 1
2 0 1
1 1 1
0 1 1
10 8
0 1 1
2 0 3
1 0 0
3 0 1
1 3 0
2 1 3
0 2 2
2 2 2
2 0 2
1 1 2
10 6
1 2 0
1 1 1
2 0 1
3 2 3
1 3 1
0 1 3
3 3 2
3 3 0
3 2 1
1 0 0
10 8
2 1 1
0 2 2
0 1 0
1 1 2
1 2 2
2 2 1
0 2 0
2 1 2
0 0 1
0 1 2
10 7
0 2 0
2 2 0
0 1 0
2 1 0
1 0 2
1 2 1
1 0 0
2 1 2
0 2 1
2 2 2
10 7
0 1 0
0 0 1
1 3 1
2 3 3
0 0 3
3 1 2
1 2 0
3 2 2
3 0 0
2 3 0
10 7
1 2 2
2 0 2
0 2 1
0 1 0
1 0 1
0 2 2
3 1 2
0 3 1
3 3 2
1 0 2
10 4
1 0 0
1 0 1
3 3 0
1 1 0
3 1 0
3 0 2
2 2 0
1 3 0
3 0 3
0 0 0
10 2
3 1 1
3 2 3
1 3 1
0 1 2
1 0 3
0 2 3
1 1 3
2 2 3
0 0 3
3 1 2
10 2
2 2 0
2 1 0
1 0 2
1 1 2
1 1 1
2 0 1
0 1 2
0 0 2
0 2 2
2 0 0
10 4
1 0 0
0 2 0
2 0 2
1 1 0
0 1 1
1 0 2
1 0 1
0 0 1
0 0 2
0 0 0
10 3
0 2 2
0 1 1
0 0 2
1 2 1
2 2 2
2 2 0
1 1 1
1 0 0
2 1 1
0 1 0
10 2
1 2 0
2 1 2
0 0 2
2 0 2
1 0 0
2 2 2
2 2 0
0 2 1
1 0 2
2 1 0
10 7
1 2 0
2 1 1
0 2 0
2 0 1
1 1 2
2 1 2
0 2 2
2 0 2
1 1 0
2 0 0
10 7
0 1 2
0 2 1
0 0 2
0 1 1
1 0 1
1 0 2
1 2 2
2 0 1
2 2 2
1 1 0
10 8
1 1 3
3 1 1
3 0 2
1 3 2
2 1 1
1 2 3
3 0 0
2 2 2
0 3 0
1 2 1
10 8
0 0 1
2 2 0
2 2 1
1 1 1
1 0 1
0 2 1
0 1 1
1 2 2
1 2 1
1 1 0
10 2
0 1 3
1 2 0
1 0 0
3 1 2
1 2 3
0 1 0
0 3 1
3 2 0
0 0 2
2 2 1
10 3
2 0 0
2 2 0
2 2 1
1 2 2
0 2 2
0 1 0
2 0 1
1 0 0
1 1 0
0 2 0
10 4
1 1 0
0 1 0
2 2 0
1 1 1
1 0 0
2 1 0
0 0 1
1 0 1
1 1 2
0 0 0
10 3
3 3 3
3 1 0
1 1 3
2 3 0
1 0 2
3 2 2
3 0 0
3 0 1
1 3 3
2 0 3
10 7
0 2 2
0 1 1
0 3 3
0 3 1
3 1 0
2 3 2
1 0 1
0 1 2
2 1 0
3 0 2
10 9
3 3 0
1 3 2
2 1 0
3 2 3
2 0 2
1 3 0
2 3 1
0 2 1
3 0 1
0 0 0
10 7
2 2 2
1 2 2
2 0 1
0 2 0
1 0 1
2 0 0
2 1 0
1 0 2
0 1 1
1 2 0
10 5
0 0 0
1 1 2
1 0 1
0 2 1
0 3 3
3 0 3
2 1 2
2 3 2
3 3 2
2 0 0
10 5
2 0 2
1 3 3
3 1 2
0 2 2
0 3 3
1 2 0
2 0 0
1 3 1
0 0 3
2 2 2
10 2
2 3 1
2 1 1
1 3 2
0 1 1
0 3 0
3 0 3
1 3 3
2 1 3
3 1 2
3 2 2
10 7
0 1 2
0 2 2
2 0 2
0 1 1
2 1 0
2 0 1
1 0 2
1 2 1
1 0 0
1 1 1
10 2
2 2 1
0 1 1
0 0 1
1 1 1
1 2 0
2 1 2
2 1 0
1 1 0
0 0 0
1 2 1
10 3
2 2 0
2 2 1
1 1 0
3 0 2
2 1 3
0 1 2
3 2 0
1 2 1
1 2 2
3 3 1
10 7
1 1 2
0 1 2
0 3 1
1 2 3
0 3 3
3 1 1
3 0 3
0 2 0
0 3 2
1 0 2
10 3
1 1 2
0 2 2
2 1 0
1 0 2
2 0 0
1 0 1
1 1 1
0 0 0
0 1 0
0 0 1
10 5
1 0 2
0 0 2
0 1 0
2 2 2
1 0 1
0 2 0
1 1 0
0 2 2
0 1 1
2 1 0
10 2
2 0 0
2 0 1
0 0 0
1 2 2
0 0 1
0 2 1
1 0 0
0 2 0
0 2 2
2 1 1
10 8
1 1 1
1 0 0
0 2 0
2 0 3
2 1 3
0 0 2
0 0 3
1 3 1
3 1 0
0 2 2
10 9
2 0 1
1 2 2
1 3 1
1 0 2
1 0 3
0 2 0
0 1 1
0 1 2
1 0 0
0 3 3
10 2
2 3 3
1 2 0
2 0 1
0 1 0
3 1 2
3 3 3
0 0 3
1 2 1
1 1 2
1 1 1
10 9
2 0 0
0 0 1
2 1 3
2 0 2
2 0 1
1 3 2
0 1 2
3 0 2
2 1 0
3 3 1
10 4
2 0 1
2 1 2
2 1 1
1 2 1
1 1 2
0 0 0
1 1 0
0 1 2
1 2 0
0 1 1
10 5
2 2 0
0 1 0
1 0 0
2 0 1
1 0 2
1 1 1
2 1 2
2 1 1
1 2 1
1 2 2
10 6
2 2 0
0 1 2
1 1 1
1 2 0
0 2 2
0 2 1
0 1 1
2 0 1
1 0 0
0 2 0
10 7
1 1 2
0 0 2
0 2 1
3 3 0
3 2 0
2 0 0
3 0 3
2 2 3
0 1 2
1 3 0
10 8
3 3 2
2 3 1
1 3 1
2 0 0
0 2 1
0 1 0
1 0 3
1 3 2
1 1 1
0 0 0
10 5
2 0 0
1 2 1
0 0 1
2 1 0
1 2 2
1 1 2
2 0 2
0 0 2
0 2 1
2 2 2
10 6
2 2 2
0 1 0
2 0 1
0 2 0
1 0 2
0 2 2
1 0 0
0 0 2
1 1 2
1 2 1
10 3
0 2 1
0 2 2
0 0 0
1 1 2
2 1 1
0 0 1
1 1 0
2 2 2
2 1 2
0 1 1
10 8
0 1 2
1 2 0
1 0 1
0 1 1
1 2 1
1 0 0
0 0 2
0 2 1
2 2 1
1 1 1
10 5
0 1 1
1 3 1
0 3 3
1 2 2
3 1 3
3 1 0
0 3 2
1 2 3
1 0 3
3 2 0
10 8
1 0 1
1 0 0
1 2 0
2 0 2
0 0 0
0 1 2
2 0 0
2 1 2
0 2 0
2 2 2
10 2
2 1 3
2 3 3
1 0 3
1 1 1
3 3 0
0 3 0
0 1 1
0 3 1
0 1 3
0 2 2
10 7
0 1 2
0 0 2
3 1 2
1 2 2
3 3 1
0 0 1
1 1 0
3 2 1
3 3 0
1 2 1
10 4
0 2 1
3 0 3
1 2 1
1 3 2
2 1 2
1 0 3
3 3 0
3 1 2
2 3 0
1 1 0
10 2
3 2 2
1 3 0
1 1 2
0 0 0
3 1 0
1 1 3
3 1 2
3 3 1
1 3 1
1 3 3
10 9
3 0 2
3 0 3
1 0 2
0 2 3
3 1 0
2 0 1
1 1 0
1 2 3
3 3 2
2 3 0
10 4
1 2 1
0 0 0
3 3 2
0 0 1
1 3 0
1 1 2
1 3 3
0 2 3
0 1 2
1 1 3
10 4
2 0 2
1 3 1
1 0 0
0 2 0
0 3 2
0 1 2
0 0 2
1 0 3
2 3 3
3 2 0
10 2
1 3 3
2 1 3
2 3 1
2 0 3
3 2 3
3 3 3
3 1 3
1 3 1
0 3 2
3 2 2
10 7
2 0 1
3 0 2
1 1 1
0 1 1
0 3 0
1 2 0
0 2 2
0 3 1
2 0 0
1 3 3
10 3
0 2 1
1 0 2
0 0 1
1 1 0
1 0 1
2 2 0
2 1 2
0 0 0
0 2 0
2 2 2
10 8
2 0 1
2 3 2
0 2 1
1 3 2
0 0 1
0 1 0
3 1 3
0 0 0
1 0 1
1 2 2
10 8
3 1 3
0 2 0
0 0 0
0 1 2
3 3 0
1 1 3
1 0 1
2 2 1
3 3 1
1 0 3
10 2
2 0 2
0 1 2
0 2 2
2 0 1
0 1 0
1 2 1
1 0 0
2 1 1
1 1 2
0 0 2
10 5
2 1 3
2 3 3
1 1 3
3 0 3
3 2 1
3 3 0
1 2 3
3 0 1
3 1 1
1 2 0
10 8
0 2 1
1 2 2
1 0 1
3 3 2
2 0 3
2 0 0
3 0 1
3 1 0
1 3 0
1 0 2
10 6
3 3 3
3 0 2
0 1 0
1 2 3
0 3 1
0 3 3
3 2 3
3 1 3
0 3 0
2 0 1
10 9
2 2 0
2 1 2
3 0 3
3 1 0
2 2 2
1 1 1
1 1 0
2 2 3
3 0 0
2 3 2
10 5
1 2 0
1 0 0
0 0 0
0 1 1
1 2 1
0 1 0
0 2 2
0 0 2
2 2 0
1 1 2
10 7
0 3 0
3 0 1
3 3 3
1 0 0
3 0 2
0 3 1
3 1 0
1 3 3
2 3 0
1 1 1
10 9
1 0 1
1 0 2
2 1 0
2 1 2
0 2 1
2 2 0
1 2 1
0 0 0
1 1 1
2 0 2
10 7
2 2 2
0 2 3
0 3 2
2 0 1
3 3 0
3 0 0
2 0 0
1 2 2
0 2 0
3 0 1
10 8
3 1 2
1 1 2
2 1 0
1 3 3
1 0 2
3 2 0
3 1 0
2 3 2
0 3 0
3 0 0
10 9
1 1 2
3 3 2
0 2 0
2 3 3
1 3 0
2 3 1
1 0 3
1 2 0
3 1 0
1 3 1
10 2
0 0 0
0 1 2
1 0 0
0 0 2
1 1 2
1 2 1
1 1 1
2 2 1
2 0 0
1 1 0
10 2
0 1 1
2 2 1
3 1 1
1 3 3
0 0 3
1 0 0
3 2 1
0 1 3
3 2 0
2 1 0
10 9
2 0 0
2 1 1
1 2 3
0 2 2
1 1 1
1 0 2
3 0 2
2 3 0
3 0 0
0 3 0
10 4
2 1 1
2 2 1
1 1 1
1 0 2
1 2 1
0 2 0
2 1 0
0 1 0
2 0 0
2 2 2
10 9
1 2 1
0 3 0
3 1 0
0 3 1
0 2 3
0 0 0
1 0 2
2 0 1
0 3 3
1 1 0
10 3
1 0 0
1 1 1
2 2 2
1 2 2
0 2 0
2 0 2
0 1 0
1 0 1
1 2 0
0 2 1
10 8
3 2 1
0 1 0
1 3 2
0 0 2
0 3 2
0 3 1
3 3 1
1 1 0
2 2 2
1 0 0
10 9
3 3 0
3 3 2
0 3 2
2 1 2
1 0 3
3 0 2
2 1 3
2 3 3
2 0 0
0 2 2
10 3
2 0 3
1 1 2
2 1 3
1 1 1
0 1 0
0 2 1
2 2 1
1 3 2
0 1 3
0 3 3
10 5
0 2 2
1 1 1
0 2 1
0 1 1
0 0 1
0 1 2
2 3 1
3 0 2
2 2 1
2 0 3
10 7
1 0 2
2 0 2
1 0 0
2 0 1
0 2 1
0 1 2
2 1 1
0 2 0
2 2 1
0 0 2
10 7
3 3 0
2 0 2
0 3 3
3 0 3
0 0 0
0 2 1
0 1 1
1 0 1
1 3 3
1 0 0
10 5
3 3 0
2 0 1
0 1 1
2 0 3
1 1 0
1 3 0
3 1 3
2 2 3
2 1 0
0 2 2
10 3
0 1 0
2 1 1
1 2 1
1 0 0
2 0 2
0 1 2
1 0 2
1 1 1
0 2 2
0 2 0
10 9
1 0 0
2 1 0
1 0 1
0 2 1
2 2 2
0 2 0
1 1 1
1 2 1
1 0 2
1 2 2
10 5
2 1 1
1 0 1
0 2 1
2 0 0
1 1 1
2 2 2
0 0 0
2 2 1
1 0 2
2 2 0
10 9
1 0 2
2 0 2
0 1 2
0 0 1
0 2 2
1 1 1
2 1 1
0 0 0
1 2 2
2 2 2
10 6
0 1 1
0 0 0
1 1 1
1 1 0
2 1 2
0 1 0
0 2 1
1 0 2
1 2 2
0 2 2
10 8
1 1 0
0 2 1
1 1 1
0 0 1
1 0 1
0 1 2
2 2 0
2 1 1
2 0 2
0 2 2
10 7
1 3 0
2 0 3
2 3 2
0 1 0
3 1 0
2 2 0
1 3 2
0 0 1
3 3 2
1 1 2
10 5
2 1 0
0 2 0
0 2 1
1 1 0
2 2 0
0 0 1
2 2 2
0 1 1
0 0 2
2 0 2
10 6
0 2 3
3 0 1
0 0 3
3 1 2
1 2 1
2 1 2
2 1 3
3 0 3
0 1 2
2 0 1
10 8
3 2 1
3 1 1
0 2 0
2 3 3
0 3 3
2 3 0
0 3 0
1 1 3
1 3 2
0 0 1
10 5
0 1 2
1 0 1
0 2 0
2 0 0
1 2 0
2 0 2
1 0 2
2 1 0
0 0 1
2 2 1
10 5
1 2 1
1 2 3
3 3 3
2 3 1
2 0 1
1 3 1
2 1 2
3 1 3
2 3 3
3 3 1
10 2
1 1 2
0 3 3
3 1 1
2 3 1
1 0 2
1 3 1
0 3 0
2 0 3
1 3 0
3 3 1
10 9
0 0 0
2 2 0
2 1 0
2 2 2
1 1 2
0 0 2
1 1 1
0 1 0
0 1 1
2 2 1
10 7
1 1 1
0 2 1
2 3 0
3 1 0
0 1 2
0 0 2
0 3 1
3 1 3
3 2 1
1 3 2
10 4
0 1 1
1 1 0
1 0 2
0 2 2
0 1 2
2 2 1
2 2 2
2 1 0
1 0 1
2 0 2
10 5
0 1 0
2 0 1
3 3 0
0 1 3
1 3 0
3 2 1
3 2 0
3 0 1
1 3 3
2 2 1
10 8
1 2 0
2 1 2
0 1 0
1 0 0
2 2 2
1 2 1
2 0 2
1 2 2
2 2 0
0 0 0
10 9
1 1 1
1 2 1
1 0 2
0 1 2
1 2 0
1 0 0
0 2 0
2 2 2
2 2 1
1 0 1
10 6
1 1 0
0 2 2
0 1 1
1 1 1
1 0 2
0 0 1
2 1 0
0 0 2
0 2 0
2 0 0
10 5
0 2 1
2 2 1
1 2 1
2 2 0
0 1 2
0 0 2
0 2 0
1 2 0
2 2 2
1 1 1
10 7
1 1 1
0 3 3
3 3 0
0 0 2
2 0 3
2 3 3
1 3 3
2 1 1
1 0 3
3 3 2
10 2
1 2 0
0 0 1
0 1 1
1 0 1
0 2 1
0 1 0
0 0 0
1 1 0
2 2 0
2 1 0
10 9
1 1 0
1 1 1
2 2 2
2 1 0
2 1 2
1 2 1
0 1 2
1 2 0
2 0 0
2 2 1
10 6
3 0 0
1 1 0
2 1 2
3 2 0
1 3 0
3 1 1
1 3 2
2 2 1
0 0 0
3 2 2
10 6
0 0 0
0 2 1
1 0 0
0 2 3
0 0 2
1 2 1
1 0 2
0 1 2
2 3 1
1 1 1
10 5
3 2 3
3 3 3
1 2 3
3 2 1
3 3 0
3 1 3
1 1 0
2 1 3
1 3 0
3 0 0
10 6
2 0 2
1 0 2
0 1 1
1 1 2
1 0 0
0 1 0
0 2 2
2 2 1
1 1 0
0 2 1
10 4
3 2 1
2 3 0
1 0 1
0 3 3
2 2 3
2 2 0
1 1 2
0 0 0
0 3 1
2 0 3
10 3
2 3 3
1 3 0
3 2 1
1 0 1
3 2 2
0 0 2
3 0 1
2 2 3
2 1 3
2 0 3
10 2
1 3 2
2 1 0
0 0 3
0 1 3
1 2 3
0 3 3
0 3 1
3 2 2
3 2 1
0 2 1
10 3
2 2 2
1 1 3
0 0 0
0 3 1
1 0 2
3 3 2
1 1 0
1 2 2
2 1 3
3 2 1
10 7
1 2 0
1 2 2
0 2 2
2 2 2
0 1 2
0 0 2
1 1 0
1 0 0
1 2 1
1 1 1
10 9
2 3 0
0 1 3
1 0 3
0 2 3
2 2 3
1 1 0
2 0 0
1 2 3
0 2 0
0 3 3
10 7
0 1 2
0 0 0
2 1 1
1 0 1
2 2 2
1 1 2
1 1 0
1 1 1
0 1 0
0 2 1
10 2
1 2 1
0 1 2
0 0 1
2 2 2
1 2 2
0 0 2
2 1 2
2 1 1
1 0 0
2 0 2
10 3
1 1 0
2 2 0
1 0 0
1 2 2
0 1 0
0 0 0
1 0 2
0 1 1
2 1 2
1 2 1
10 4
0 1 2
1 3 2
2 0 3
2 1 3
3 0 3
2 3 2
2 2 2
1 3 3
3 2 2
2 3 1
10 4
1 0 0
2 2 1
2 1 2
2 0 1
1 0 1
2 0 2
1 1 2
0 2 2
1 2 1
0 2 0
10 4
1 1 3
0 0 0
3 3 1
2 3 1
1 3 2
1 0 0
0 0 2
2 1 3
3 1 0
1 2 2
10 7
3 3 3
2 1 3
0 1 2
2 2 2
3 1 0
0 2 2
2 0 1
1 1 0
2 0 0
3 0 0
10 9
3 3 3
1 1 2
0 3 0
2 2 0
1 1 0
0 0 2
3 2 3
3 2 2
0 3 2
1 0 2
10 6
0 2 2
0 0 0
3 3 1
3 0 2
3 3 3
3 1 1
1 2 0
0 0 3
1 3 2
2 3 1
10 2
0 1 1
2 2 2
1 1 0
0 0 1
2 1 1
1 0 1
0 2 0
2 1 2
1 2 0
0 1 2
10 8
1 0 2
2 2 2
1 2 0
2 2 0
0 1 0
1 1 0
0 2 1
2 1 1
1 2 1
1 0 0
10 9
2 2 2
2 1 1
2 2 1
1 1 2
2 0 0
2 2 0
0 2 0
1 2 0
1 1 1
2 0 2
10 5
1 1 1
3 1 2
0 3 1
3 1 1
2 2 0
0 2 2
3 2 3
0 0 0
2 3 2
0 3 3
10 6
0 1 2
0 2 1
2 2 0
2 2 1
1 2 1
0 1 1
0 1 0
1 2 2
0 2 0
1 1 1
10 7
3 3 3
1 3 1
1 3 3
2 1 1
3 1 2
2 1 3
3 0 0
0 3 3
0 2 1
3 2 3
10 9
2 1 0
1 0 1
2 2 0
0 2 0
1 1 2
1 1 1
2 1 1
2 0 2
0 1 2
2 0 0
10 8
1 1 3
2 2 3
0 3 0
1 3 0
3 0 2
3 3 3
2 2 0
2 2 2
3 1 0
3 2 0
10 7
2 3 3
0 3 1
0 1 2
0 2 1
2 0 0
0 1 1
0 0 1
3 1 2
0 1 3
3 2 3
10 3
0 0 0
2 2 0
1 0 2
1 2 2
2 0 1
2 2 2
0 0 1
0 1 2
1 1 1
0 2 0
10 7
2 0 2
1 1 0
1 0 2
1 2 0
2 1 2
2 2 1
2 2 2
1 2 2
0 2 0
0 2 1
10 9
0 2 0
2 1 2
2 0 0
2 0 1
2 0 2
2 2 0
0 2 1
1 2 1
0 1 1
2 2 1
10 4
0 0 1
2 1 1
2 0 1
0 1 1
3 3 0
3 0 0
0 3 0
3 3 3
1 0 1
3 3 1
10 9
0 3 3
3 1 1
1 1 1
0 1 0
1 2 1
2 3 2
1 2 2
3 0 1
0 2 3
2 1 1
10 2
0 2 0
1 1 0
0 2 1
1 2 2
2 2 2
0 0 0
1 2 1
0 1 2
2 2 1
1 1 2
10 6
0 1 0
2 2 2
2 0 1
0 0 1
1 1 2
1 1 0
0 2 2
1 2 2
0 2 1
1 0 0
10 2
2 1 1
0 1 2
1 2 2
1 2 1
2 0 2
1 2 0
2 1 0
0 2 1
0 0 2
2 2 1
10 4
2 1 1
0 0 0
2 1 2
2 0 2
2 2 1
2 2 0
1 0 1
1 1 0
0 1 2
2 0 0
10 2
0 0 2
0 1 1
2 1 0
1 0 2
2 1 1
1 2 2
1 2 1
2 1 2
0 2 2
2 0 2
10 2
1 2 2
1 0 1
1 0 2
2 0 0
0 2 0
0 1 0
1 2 1
2 1 0
2 0 1
2 2 2
10 5
0 2 1
1 2 0
0 2 2
0 2 0
2 1 1
2 2 0
2 0 0
2 0 2
0 0 2
0 0 1
10 8
1 2 3
2 0 2
3 0 2
0 0 3
3 1 0
1 0 2
3 2 0
0 0 0
1 3 2
2 1 3
10 4
0 2 0
2 2 1
0 0 1
2 0 2
0 1 2
0 0 0
0 1 1
2 2 2
1 1 0
2 2 0
10 7
3 2 2
0 2 2
2 2 1
2 0 2
0 0 2
3 0 2
0 0 3
2 3 3
0 1 3
1 3 3
10 9
0 3 2
3 2 3
2 1 2
3 0 3
1 1 0
2 0 0
0 2 1
1 3 0
0 1 1
1 1 1
10 9
1 1 3
2 1 3
2 3 2
0 1 0
3 0 1
3 3 0
1 0 2
0 0 3
3 2 0
1 3 0
10 6
1 2 1
0 3 1
1 0 3
3 1 2
1 3 3
2 1 0
3 1 1
0 2 0
1 1 1
1 0 0
10 9
0 1 1
2 2 1
0 1 2
2 0 0
1 1 0
1 2 1
0 0 0
0 0 1
1 0 1
1 1 2
10 7
1 0 1
2 2 1
1 2 0
2 2 2
0 1 1
2 2 0
0 0 1
1 2 2
1 1 1
0 2 2
10 4
1 2 2
0 3 1
2 1 2
2 2 0
1 0 1
2 1 1
3 0 2
1 2 3
3 1 1
2 1 3
10 7
1 3 1
3 2 2
3 3 2
0 3 0
2 0 3
3 0 1
0 0 0
2 0 2
2 1 1
3 1 1
10 7
1 1 0
2 3 3
3 0 1
0 2 1
1 1 1
1 1 3
3 2 3
1 0 1
0 0 1
1 3 1
10 4
0 0 2
0 2 1
2 3 3
3 2 2
0 2 0
2 3 1
0 1 0
2 1 1
3 2 1
1 0 3
10 8
2 3 0
1 3 0
0 3 1
0 2 0
2 0 2
2 0 0
2 2 3
1 1 2
1 2 0
1 0 0
10 2
0 1 2
0 0 2
3 2 2
1 2 3
2 2 0
2 1 1
0 0 0
0 3 1
1 2 0
2 0 1
10 8
1 1 0
2 2 2
2 1 2
1 2 1
2 2 0
2 2 1
1 2 2
1 1 2
2 0 0
1 1 1
10 9
2 1 1
1 2 3
3 2 2
3 3 1
2 2 0
1 0 0
1 2 1
2 3 1
3 0 3
2 1 0
10 2
1 0 3
3 0 2
3 2 3
1 0 2
3 2 0
2 3 2
2 0 1
1 2 3
2 3 3
1 3 1
10 6
2 0 3
1 3 1
0 1 0
0 3 3
0 1 2
0 0 0
3 0 1
3 3 0
0 1 3
3 3 3
10 3
0 0 1
0 1 1
0 3 3
2 3 1
3 0 1
1 1 0
1 0 2
1 3 0
0 1 0
2 2 0
10 2
1 1 2
2 2 0
0 1 1
2 1 2
1 0 2
0 1 2
0 1 0
1 0 0
2 0 1
2 2 2
10 3
1 1 0
2 1 0
0 1 1
0 1 0
2 0 0
2 2 2
1 0 0
1 2 1
2 2 0
1 0 1
10 2
2 0 0
2 2 0
0 1 1
2 2 2
0 0 2
1 2 2
0 1 0
2 0 2
2 1 0
2 1 1
10 3
3 0 3
0 3 3
2 2 2
0 1 1
3 0 2
3 3 1
1 3 1
0 0 3
3 2 0
3 0 1
10 7
1 2 0
3 0 0
2 2 3
1 0 3
3 2 0
3 3 1
3 3 2
2 3 0
2 3 3
1 1 1
10 3
0 2 0
1 2 2
2 0 1
2 0 0
1 2 0
0 2 1
0 0 0
1 0 2
1 0 1
1 2 1
10 6
0 1 0
1 1 0
1 0 0
0 0 0
0 2 1
1 0 2
2 0 0
2 1 0
2 1 2
0 0 2
10 7
0 2 0
1 1 1
1 0 1
2 2 1
0 1 1
0 0 1
1 0 2
2 2 0
2 0 0
1 0 0
10 3
0 0 2
0 0 1
2 1 0
2 1 1
1 2 2
1 1 2
1 0 1
0 2 2
2 0 0
1 1 1
10 7
0 0 0
2 2 0
1 2 0
0 1 1
1 0 0
0 1 0
2 0 2
0 2 0
1 2 1
1 0 1
10 9
0 1 0
0 1 2
2 2 2
0 0 2
0 0 1
0 2 1
2 0 2
1 2 0
2 0 0
2 2 0
10 7
2 1 2
2 0 1
0 1 2
2 2 0
2 1 0
0 0 0
0 2 1
2 2 1
1 1 2
0 0 2
10 8
0 2 3
1 3 3
2 0 0
1 2 0
2 0 2
0 0 0
1 1 2
1 1 1
1 3 1
1 0 2
10 2
3 2 3
2 0 2
3 3 3
3 1 2
2 2 1
0 3 0
0 1 2
1 2 1
3 1 3
0 1 1
10 7
1 0 0
2 1 1
2 0 0
2 0 2
0 1 0
1 2 0
2 2 0
2 0 1
0 0 1
0 2 0
10 5
0 0 2
1 0 2
0 0 0
0 2 0
0 0 1
1 0 1
0 2 2
1 1 2
0 1 1
1 2 1
10 9
3 1 2
2 0 0
3 1 1
0 2 0
2 2 0
3 0 0
0 0 1
1 0 2
3 0 2
3 2 2
10 7
1 1 0
3 0 2
2 1 1
2 0 1
2 2 0
2 2 3
0 3 2
1 2 3
0 0 1
2 3 0
10 3
2 1 1
2 0 1
2 0 3
3 3 0
2 2 3
0 3 0
3 0 3
0 0 2
0 2 2
1 3 3
10 8
1 0 1
0 1 0
2 0 1
2 3 3
0 0 1
3 2 1
0 1 2
1 2 1
0 3 0
0 2 3
10 7
3 1 2
2 2 3
2 1 1
3 1 1
0 0 3
2 2 0
0 2 0
1 3 2
1 0 0
1 0 3
10 2
3 2 3
0 0 2
2 2 0
3 2 2
3 1 1
1 3 3
2 3 0
2 1 2
1 1 3
0 2 0
10 2
2 2 0
0 2 0
2 2 1
2 0 0
1 0 2
0 0 0
0 0 2
1 2 2
2 2 2
2 1 2
10 7
1 0 0
2 2 0
2 0 0
1 1 2
2 1 1
1 0 1
1 1 1
0 0 0
0 1 1
0 0 1
10 9
3 3 2
0 1 3
2 1 2
3 0 1
3 2 2
3 3 1
2 1 0
0 0 1
1 1 0
2 2 1
10 5
0 1 1
2 1 0
2 1 2
1 2 2
1 0 0
1 1 0
2 0 2
2 2 1
0 0 2
0 0 1
10 9
0 0 2
1 0 1
1 1 2
1 0 2
0 0 0
0 1 0
0 0 1
1 2 0
2 0 1
2 2 1
10 2
2 2 2
0 0 0
0 0 2
1 2 2
0 2 2
2 1 2
0 1 1
2 1 0
2 0 2
1 0 2
10 8
3 3 3
1 0 3
0 2 1
1 1 0
2 3 0
0 1 0
0 1 3
2 3 3
0 3 2
1 1 1
10 5
2 1 2
1 0 2
1 0 1
2 0 0
1 2 2
2 1 0
1 1 1
0 0 1
0 1 1
0 1 0
10 3
0 0 1
1 2 0
3 2 3
2 2 1
2 2 3
3 1 0
1 2 2
2 1 3
2 0 3
0 0 2
10 6
3 0 2
1 3 3
0 0 3
2 0 3
3 0 3
3 2 0
3 1 0
2 3 2
2 1 1
1 2 0
10 8
0 0 0
0 2 1
0 2 2
1 2 2
2 2 0
2 0 1
2 1 1
1 1 0
2 2 2
0 1 2
10 7
3 0 2
0 1 3
2 0 0
0 3 0
2 0 3
3 1 0
1 0 0
2 0 1
3 2 1
1 2 2
10 9
0 0 2
0 3 3
3 2 2
2 0 2
1 3 0
2 0 0
0 1 0
2 1 2
3 0 1
0 2 0
10 8
1 2 0
3 2 3
0 2 0
3 3 3
2 0 1
0 3 1
1 0 2
0 1 0
3 2 1
0 3 3
10 2
0 1 0
3 3 3
2 3 3
0 1 2
2 0 2
3 1 3
3 1 0
3 3 0
0 1 3
2 3 2
10 7
3 3 1
2 0 1
0 2 2
3 3 0
0 2 3
2 1 3
0 1 2
1 0 0
0 3 2
2 3 0
10 8
1 1 2
2 1 0
1 1 1
1 0 2
1 2 2
0 1 0
1 0 0
0 0 1
2 0 2
2 0 0
10 8
1 1 1
0 1 0
1 0 2
2 1 0
1 1 0
1 0 1
1 2 1
0 2 2
2 1 2
0 0 0
10 8
2 2 1
1 1 2
1 0 1
2 1 1
2 1 2
0 1 0
0 1 1
2 0 1
1 2 0
0 0 0
10 3
2 3 2
0 3 0
3 2 1
2 2 3
0 2 3
3 0 2
3 1 1
2 3 0
1 3 0
0 1 0
10 2
2 3 1
0 3 2
2 3 0
0 2 2
3 0 3
3 3 0
3 1 3
0 2 1
1 2 0
0 0 0
10 2
0 1 1
1 2 1
2 0 2
1 0 2
0 0 1
1 0 0
0 2 1
1 1 1
1 1 2
1 0 1
10 9
0 2 0
3 3 2
2 0 3
2 1 2
1 0 0
3 1 2
1 0 1
3 2 0
2 3 0
0 3 0
10 5
1 1 0
1 0 0
3 1 2
3 1 0
3 3 2
0 0 2
0 1 2
2 3 0
1 3 3
3 2 0
10 2
0 3 2
2 2 3
3 3 2
3 0 0
2 3 0
2 1 0
3 1 3
3 3 0
1 3 1
1 1 0
10 6
0 2 0
1 0 2
1 1 0
2 2 2
1 2 1
2 1 0
2 0 0
1 1 2
0 2 2
0 1 1
10 4
3 3 0
3 0 1
2 1 3
1 0 1
0 3 2
1 1 1
1 3 2
0 0 0
3 1 2
1 3 1
10 6
1 2 1
2 1 2
2 2 0
2 0 2
1 0 1
2 2 2
0 2 1
1 0 2
0 0 1
1 1 1
10 2
0 0 2
2 2 2
2 0 0
1 0 2
1 2 2
2 1 1
2 0 1
1 1 2
0 1 2
1 1 1
10 9
2 3 3
3 2 1
0 0 1
2 0 1
3 0 0
2 0 3
3 0 3
0 2 1
0 1 3
1 3 1
10 8
0 1 1
0 2 1
2 1 2
2 2 2
0 2 2
2 0 2
0 0 2
1 0 2
1 0 0
1 2 0
10 3
1 1 1
0 0 1
1 2 1
0 1 0
1 0 1
1 0 0
2 0 0
0 1 1
0 2 1
2 2 1
10 5
0 2 2
2 1 0
0 2 0
3 3 3
3 1 0
3 1 2
1 3 3
0 2 3
3 3 2
0 1 0
10 6
1 2 0
2 1 3
1 0 1
2 2 2
2 0 2
3 2 0
0 2 2
3 3 3
0 3 1
1 1 3
10 2
0 1 2
0 0 0
1 1 1
1 1 0
2 0 1
2 1 1
2 2 1
0 1 0
0 2 2
1 0 0
10 5
2 2 2
0 2 2
1 1 1
2 1 2
1 2 2
2 2 0
0 2 0
0 0 1
1 2 1
1 1 0
10 3
2 2 3
0 3 1
3 0 0
1 1 3
0 0 0
3 2 1
0 2 2
2 0 1
3 0 1
1 1 0
10 8
2 1 2
1 2 0
2 2 2
1 1 2
0 0 2
2 1 1
2 0 2
0 1 1
1 1 0
1 0 0
10 3
1 1 0
2 0 0
0 0 0
2 2 0
2 1 1
2 2 1
1 0 0
0 1 0
0 2 0
1 2 2
10 6
1 1 3
2 1 3
2 0 1
0 2 1
3 0 3
1 2 0
3 0 0
3 1 0
2 0 3
2 3 0
10 2
1 0 2
0 1 0
2 0 2
0 0 2
2 0 1
1 1 1
1 2 0
2 2 1
2 1 2
2 2 0
10 5
1 2 1
2 1 2
2 0 0
1 0 0
3 1 3
3 1 1
1 1 3
0 1 2
3 0 0
1 1 2
10 9
0 0 3
1 1 2
1 2 3
2 1 3
1 3 2
2 1 0
1 0 2
0 3 2
2 2 1
0 1 1
10 7
2 1 3
2 0 1
3 3 0
2 0 0
2 3 3
2 1 0
0 0 0
0 2 1
1 0 1
1 1 1
10 5
1 2 2
2 0 1
0 2 0
1 1 1
2 0 2
1 1 0
1 2 1
2 2 2
2 2 1
0 1 1
10 5
1 0 0
2 3 3
1 1 2
0 3 1
3 3 2
3 1 3
0 3 3
3 2 0
3 3 1
1 3 3
10 5
2 3 2
1 0 3
0 2 3
0 0 1
2 3 3
3 0 3
0 1 1
3 2 3
0 1 2
2 3 0
10 9
2 1 1
3 1 0
3 0 2
0 0 3
2 1 3
0 0 2
1 0 0
2 3 1
2 0 2
3 3 3
10 4
1 1 2
1 1 0
2 0 0
2 1 0
1 2 0
1 0 0
2 2 2
0 2 0
0 2 1
0 1 0
10 4
2 0 1
3 3 2
1 3 3
1 3 1
1 2 3
0 0 1
1 1 3
3 1 0
1 0 1
0 1 0
10 3
2 0 3
0 3 2
1 1 0
1 0 0
0 0 1
0 3 1
1 3 3
2 1 0
3 0 1
3 3 2
10 4
1 0 2
1 0 0
1 1 2
0 1 1
0 1 0
2 2 0
0 0 1
0 2 2
2 0 1
2 1 1
10 9
1 2 1
1 0 0
1 0 2
2 0 0
0 0 1
0 1 2
0 0 0
2 0 1
1 1 2
2 2 2
10 3
1 2 0
1 0 1
1 2 2
0 2 1
1 2 1
1 0 0
0 0 0
1 0 2
2 1 1
2 0 0
10 3
0 0 2
2 3 3
0 2 1
1 2 1
1 0 2
2 0 0
1 0 1
3 2 2
1 1 1
2 3 1
10 8
1 1 1
2 1 2
1 0 2
1 2 2
2 2 0
2 1 1
2 1 0
1 2 0
2 0 0
0 2 2
10 7
1 1 2
0 1 3
2 0 3
0 3 0
0 3 2
1 0 2
2 2 3
2 3 2
2 2 2
0 2 0
10 3
0 0 1
0 2 2
0 0 0
1 2 2
0 0 2
2 0 0
0 1 1
2 1 1
1 0 2
1 2 1
10 6
1 1 1
2 0 1
1 0 2
0 1 0
2 1 0
0 1 2
2 0 2
0 1 1
2 2 1
0 0 0
10 2
1 2 0
1 1 2
1 2 2
2 1 1
0 0 1
0 0 0
2 0 2
0 2 1
2 2 1
2 0 1
10 2
1 2 0
1 2 2
0 2 2
0 2 1
2 1 0
0 2 0
0 0 0
1 0 1
0 1 2
0 0 2
10 5
3 2 3
3 0 1
1 2 3
0 3 3
0 0 2
1 0 1
3 1 3
3 2 0
3 0 3
1 3 0
10 8
3 0 1
0 2 3
2 0 2
1 1 2
1 2 1
2 0 0
2 3 3
0 3 0
3 3 0
2 1 3
10 7
0 2 2
1 0 1
0 0 2
1 0 2
0 2 0
1 1 0
0 1 0
1 2 0
2 2 2
2 0 2
10 8
3 1 0
0 3 2
1 3 0
2 2 3
3 0 0
3 2 3
2 0 1
2 1 2
3 3 2
3 1 3
10 9
1 1 0
0 0 2
1 0 2
0 2 1
2 1 0
0 2 0
2 1 1
0 1 0
1 2 1
1 0 0
10 2
0 2 2
2 1 0
0 0 2
2 2 0
1 0 0
1 1 0
2 1 1
1 0 2
0 1 2
2 0 1
10 2
2 2 0
0 2 1
2 1 3
1 3 3
0 1 1
2 1 2
3 1 2
3 1 3
2 0 0
2 1 0
10 8
3 2 0
1 3 2
0 2 0
0 0 0
2 3 1
1 1 2
2 1 0
0 1 0
3 1 0
2 2 3
10 5
1 2 1
1 1 0
2 0 3
2 3 3
0 0 3
2 2 2
1 3 3
2 0 1
1 1 1
3 0 0
10 3
0 1 2
3 3 0
3 0 3
3 2 0
0 2 0
1 1 3
3 1 0
3 2 1
3 2 2
0 1 0
10 2
3 0 3
1 3 1
1 0 2
1 2 1
1 3 3
0 0 3
2 2 0
2 1 3
0 0 1
0 2 0
10 2
2 1 0
1 0 0
1 2 2
1 0 2
0 2 1
0 1 0
1 1 2
0 0 0
1 1 1
0 1 1
10 5
2 3 1
0 3 1
2 3 0
2 1 3
2 1 2
1 3 1
2 0 2
3 0 3
3 3 2
1 0 0
10 7
2 1 0
1 1 0
0 1 1
2 1 1
2 0 1
1 0 2
1 2 0
0 2 0
0 2 2
2 2 2
10 3
0 0 3
0 2 0
2 1 1
0 0 2
1 2 0
0 3 1
3 0 1
0 2 1
1 1 3
0 2 3
10 4
3 3 2
3 3 3
1 1 3
2 0 0
1 0 0
0 0 2
1 3 3
2 0 3
1 1 2
2 3 3
10 6
3 2 0
3 3 0
3 3 1
1 3 2
1 1 0
0 2 0
1 3 0
2 0 2
3 2 3
3 0 3
10 9
1 1 0
1 1 2
2 1 1
0 2 1
2 1 2
0 2 2
2 0 2
0 0 1
0 0 2
1 2 1
10 2
0 2 0
0 0 2
1 1 1
2 1 0
0 2 2
2 1 2
1 0 1
1 2 1
1 0 0
1 2 0
10 4
1 2 1
0 1 2
1 0 1
1 0 0
0 2 2
0 1 1
0 1 0
2 2 1
0 0 1
1 1 0
10 5
2 0 1
1 1 1
3 2 1
2 1 0
0 0 3
0 3 1
1 3 2
3 0 3
3 3 1
3 0 0
10 4
2 1 2
2 2 2
1 0 2
2 2 0
2 1 1
0 1 2
0 1 1
0 2 2
0 1 0
1 1 1
10 4
2 1 1
1 2 1
1 0 0
2 1 0
1 0 2
1 1 1
2 1 2
0 2 2
0 2 0
1 1 0
10 6
1 2 1
0 2 2
0 1 3
1 3 0
3 3 3
3 0 1
1 1 3
0 1 0
2 2 3
2 1 0
10 3
0 1 0
2 1 0
1 2 2
2 0 0
2 0 1
1 0 0
0 1 1
0 2 2
1 0 1
1 1 2
10 7
2 0 2
3 3 0
1 3 0
3 0 0
1 2 2
1 2 1
2 1 0
0 3 1
3 3 3
1 3 3
10 9
0 0 0
2 0 2
2 0 1
1 1 1
0 2 1
1 2 1
2 2 0
1 0 1
1 0 2
2 2 1
10 4
1 0 0
2 0 2
0 1 0
0 0 2
2 1 1
0 1 2
0 1 1
0 0 0
0 2 2
2 0 0
10 7
1 1 2
1 0 1
2 0 0
2 2 0
2 0 2
2 0 1
2 1 1
1 2 0
1 2 1
1 0 2
10 6
2 1 1
3 0 2
3 0 3
2 2 3
0 0 1
1 0 3
3 3 0
0 2 0
1 0 2
0 3 1
10 5
3 1 2
1 0 3
3 3 0
1 2 0
3 0 1
3 1 3
2 1 2
0 1 3
3 3 2
1 0 1
10 7
3 0 3
1 1 0
1 3 2
2 3 0
2 1 0
3 1 3
1 2 2
3 0 1
0 3 2
2 2 2
10 8
0 0 1
0 1 3
1 2 1
0 0 2
2 0 2
1 1 0
3 0 1
2 0 0
0 0 0
1 0 3
10 3
2 2 2
2 1 2
2 2 0
2 0 2
1 2 0
2 0 0
1 1 0
1 1 2
0 0 0
1 0 0
10 4
2 1 2
0 3 1
0 1 0
0 2 1
1 1 3
1 0 2
1 0 3
1 1 2
2 0 0
1 1 0
10 8
3 3 1
3 0 2
2 0 3
1 0 2
3 0 3
1 0 0
3 3 2
1 1 1
2 1 0
1 3 1
10 9
0 3 2
1 1 1
1 2 3
0 0 3
0 0 2
3 1 3
3 2 1
3 1 0
3 3 0
3 2 2
10 6
1 2 1
2 1 2
0 1 2
2 2 1
2 2 2
1 0 0
2 0 2
1 1 0
2 2 0
0 2 0
10 3
2 2 0
1 1 0
1 0 0
2 2 2
0 2 2
0 1 2
2 1 1
0 2 1
0 0 0
2 0 1
10 3
2 1 0
0 0 1
0 2 0
1 0 2
1 1 0
1 2 0
0 2 1
1 1 1
1 0 0
2 2 1
10 9
2 1 1
2 2 0
0 1 2
2 1 0
1 0 1
2 0 0
0 1 1
0 1 0
2 2 1
2 0 1
10 8
1 1 0
1 2 0
0 1 1
0 1 2
2 0 0
2 1 0
0 0 2
1 1 2
0 2 0
2 1 2
10 3
2 0 1
0 1 0
1 0 1
2 1 2
1 1 2
0 1 1
2 0 0
1 2 0
1 1 1
0 0 0
10 8
3 3 1
1 0 2
3 2 2
0 0 2
3 0 0
0 3 2
3 1 0
2 1 0
3 1 2
1 3 2
10 3
1 0 1
2 0 0
1 0 2
2 1 1
0 1 0
2 1 2
0 0 2
1 1 1
0 2 1
0 1 2
10 4
0 1 2
2 3 0
2 0 1
0 0 1
0 1 1
0 1 3
2 2 1
1 1 3
3 1 0
3 2 3
10 2
0 1 0
3 0 2
2 1 1
1 1 3
3 3 2
0 2 1
1 1 2
0 2 3
1 2 1
3 3 1
10 9
3 0 0
3 0 1
1 1 2
0 1 1
3 2 3
2 3 1
0 3 0
2 1 3
2 3 2
2 0 0
10 2
1 1 2
1 0 0
1 2 2
2 1 1
1 0 1
0 0 0
0 1 1
1 0 2
2 1 0
0 2 2
10 7
1 2 2
0 3 0
0 3 1
1 3 2
3 0 3
2 3 1
2 1 0
0 3 2
2 3 0
3 1 0
10 4
3 1 1
3 3 2
3 3 3
0 2 1
3 2 0
0 3 3
2 1 2
2 2 0
2 0 3
3 0 0
10 6
3 1 0
0 1 2
1 1 0
0 2 2
3 3 1
1 0 1
3 0 1
2 2 3
1 1 2
0 2 1
10 8
0 2 2
2 0 2
1 0 2
2 2 0
1 0 1
0 1 2
1 2 2
1 1 2
0 1 0
0 1 1
10 2
1 1 2
0 1 0
2 1 2
2 1 0
0 2 2
0 1 2
2 2 0
2 0 0
2 1 1
2 0 2
10 4
2 0 3
2 3 0
1 1 3
1 3 1
2 1 1
3 1 0
1 2 1
0 2 0
0 3 3
0 1 3
10 8
0 3 2
2 1 1
3 0 0
3 1 3
2 3 2
3 2 0
0 2 2
3 3 1
0 3 1
0 0 0
10 7
0 2 2
0 1 2
1 0 2
0 2 0
1 0 1
1 2 0
2 1 2
2 2 0
2 1 0
1 1 1
10 5
0 2 1
0 2 2
2 1 2
1 1 2
0 1 0
1 2 1
2 0 1
2 2 1
1 1 1
0 1 1
10 5
1 1 2
1 1 0
0 1 1
2 0 2
2 0 1
1 2 2
1 0 0
0 2 1
2 2 0
2 2 1
10 7
3 3 1
1 0 1
1 3 0
2 0 2
0 1 3
2 3 2
3 1 3
0 3 2
2 1 1
1 2 1
10 4
1 1 1
2 0 2
2 0 0
1 2 3
1 3 3
2 1 1
0 1 1
3 0 1
1 3 0
2 3 1
10 6
1 0 0
0 2 1
1 1 0
1 1 2
0 0 1
2 2 2
1 0 1
2 1 0
0 1 1
2 0 2
10 6
1 2 0
2 0 1
2 2 2
2 1 1
2 0 0
1 0 2
0 1 1
0 2 2
1 1 0
2 1 0
10 3
1 0 0
1 2 1
1 1 0
2 0 0
1 1 2
0 0 2
2 0 1
2 1 2
2 1 0
1 0 1
10 2
1 3 2
2 2 3
1 0 1
3 3 0
2 1 2
0 3 0
1 1 0
2 3 1
0 2 2
0 2 3
10 5
0 1 2
3 3 3
3 3 2
2 2 3
3 2 2
1 0 2
0 2 0
1 1 0
0 1 1
3 1 1
10 5
1 0 1
1 1 0
2 2 0
2 2 2
0 2 0
0 1 0
0 1 1
1 1 1
1 2 2
0 0 0
10 2
2 1 0
0 1 0
2 1 2
0 1 1
2 2 1
1 2 2
2 0 0
1 0 1
1 0 2
1 1 1
10 3
1 1 1
2 0 2
0 2 1
2 2 1
1 2 0
0 0 2
1 2 1
2 1 1
1 0 1
2 1 2
10 5
0 2 0
2 2 2
1 2 0
1 1 1
2 1 0
2 2 1
1 1 2
1 1 0
0 2 2
2 2 0
10 3
3 0 1
2 1 1
2 1 2
2 2 3
0 1 0
2 2 0
3 1 3
3 2 3
0 1 3
0 1 1
10 3
0 2 0
3 3 0
0 0 0
3 2 3
0 3 0
1 0 1
3 0 3
1 0 0
3 0 1
3 2 1
10 7
2 0 1
3 0 1
1 0 2
1 2 2
2 0 2
3 1 3
3 1 1
2 1 2
0 1 3
0 0 1
10 4
0 3 3
1 2 1
0 0 1
1 1 2
2 1 3
1 3 3
3 0 2
3 2 0
0 2 0
0 3 0
10 7
0 2 2
1 3 0
2 1 1
2 2 0
2 2 3
1 0 2
2 0 2
1 2 2
0 2 0
1 1 3
10 7
0 2 0
1 0 2
1 2 1
1 1 2
1 2 2
2 1 1
1 0 1
2 2 0
0 2 2
0 1 1
10 2
2 0 1
2 3 3
2 0 2
0 1 3
1 0 0
0 0 0
3 2 0
1 0 3
0 3 2
3 0 3
10 7
0 3 3
0 0 1
0 0 3
3 0 3
0 2 2
0 3 0
2 3 0
2 1 1
1 0 2
0 3 2
10 2
1 1 2
2 0 0
0 1 1
0 1 2
2 0 1
1 1 0
0 2 1
1 0 0
1 1 1
1 0 1
10 8
0 0 2
0 1 1
3 1 0
1 3 2
3 1 2
0 2 3
3 0 3
0 0 0
2 1 1
1 1 3
10 8
0 3 1
0 0 1
0 3 0
1 0 3
3 0 2
1 1 3
3 0 1
1 3 2
3 3 3
3 1 3
10 2
2 2 3
3 0 0
0 3 1
2 2 1
1 0 1
1 3 2
3 3 3
3 0 3
3 3 1
1 0 0
10 7
0 2 1
2 2 1
2 0 1
2 2 2
0 0 1
0 1 2
2 1 1
1 1 0
1 0 1
1 0 2
10 9
0 2 1
1 1 1
2 2 2
1 0 1
1 2 0
2 1 1
1 2 2
0 0 0
2 1 2
2 1 0
10 7
3 3 1
0 3 3
2 1 1
0 1 1
2 2 1
2 1 2
1 1 1
3 3 3
0 2 0
3 1 1
10 5
1 2 1
0 1 1
0 2 0
0 1 0
2 2 2
2 0 1
0 1 2
1 0 2
2 1 0
0 0 0
10 8
1 0 2
1 3 0
1 2 1
2 1 0
0 3 1
3 0 2
2 2 3
0 1 1
2 1 3
3 2 0
10 4
2 2 1
2 1 2
1 0 2
0 1 2
2 2 0
1 2 1
2 0 0
0 0 1
0 2 1
1 1 1
10 2
2 2 1
1 2 2
2 1 1
1 0 2
0 1 0
1 0 1
2 2 2
2 1 0
0 2 0
2 0 1
10 5
3 3 0
0 0 2
3 0 2
1 0 2
0 0 1
0 1 2
2 2 2
1 3 2
0 0 0
0 2 1
10 4
1 2 3
3 2 0
2 1 0
1 1 0
0 3 0
1 3 3
1 3 1
3 1 3
0 2 2
1 0 3
10 3
2 3 2
3 3 0
2 1 1
1 3 3
1 2 2
3 0 0
3 3 2
0 3 3
0 2 3
0 3 2
10 6
1 1 0
1 2 2
1 1 2
1 0 1
2 0 1
1 1 1
0 0 0
2 1 0
0 1 1
2 2 0
10 9
1 1 1
3 1 2
1 3 2
2 0 2
3 0 0
1 2 0
1 3 3
2 2 2
1 3 0
2 0 1
10 5
1 1 1
1 0 0
2 0 1
0 2 0
1 1 2
1 2 2
2 1 0
2 0 2
1 0 1
2 2 2
10 9
2 1 3
1 3 1
2 3 3
3 3 0
2 2 3
1 2 0
0 1 2
0 1 1
0 0 1
1 2 1
10 8
3 0 0
3 0 2
1 3 3
3 1 1
2 0 1
1 2 3
3 3 0
1 3 0
2 1 3
2 2 2
10 4
0 2 1
2 1 2
3 1 2
2 1 0
0 0 1
0 3 3
0 1 2
1 0 0
0 3 1
3 2 2
10 4
0 1 0
1 0 2
0 2 0
3 3 1
0 3 1
2 0 3
0 1 1
3 2 2
1 1 0
2 3 1
10 9
1 1 0
1 1 1
0 0 0
2 0 2
1 0 1
2 2 2
1 2 0
0 0 1
2 1 1
1 1 2
10 5
3 1 3
0 3 0
1 2 1
3 2 1
3 0 2
0 1 1
2 1 3
1 0 1
0 2 1
1 2 2
10 2
0 1 2
2 2 1
2 0 0
0 0 2
2 2 2
1 2 0
2 1 0
1 1 2
0 2 0
0 1 0
10 8
2 1 0
0 2 0
2 2 2
1 1 0
0 2 1
3 3 2
2 1 3
2 0 0
0 1 3
0 3 0
10 7
1 0 1
1 2 2
0 0 2
2 2 2
2 2 0
0 1 0
2 0 2
1 1 0
2 1 1
0 1 1
10 7
1 1 0
2 1 1
0 1 1
2 0 1
2 2 2
1 1 2
0 0 0
0 2 1
1 2 2
2 0 2
10 2
2 0 1
0 0 0
0 1 2
1 2 0
0 0 1
0 1 1
1 0 1
1 2 2
1 1 1
2 1 0
10 6
1 2 2
3 3 3
3 1 2
3 3 1
1 0 3
3 1 1
2 3 0
2 3 1
3 3 0
1 1 3
10 5
2 0 1
1 2 2
1 0 0
1 0 2
0 2 1
2 2 0
1 1 2
2 0 2
2 0 0
0 2 2
10 8
3 3 0
3 3 1
0 3 1
0 1 1
2 3 2
2 3 0
1 3 0
1 1 3
0 0 0
0 3 3
10 3
2 1 0
0 2 0
2 2 1
1 0 0
2 1 1
2 0 2
0 0 1
0 1 1
1 1 1
1 2 1
10 3
0 1 1
2 1 2
0 2 1
0 0 2
1 2 0
1 0 2
2 1 0
0 1 0
2 0 2
0 2 0
10 6
2 2 2
0 0 1
1 0 0
2 2 1
1 2 2
1 0 1
0 2 0
2 1 0
1 1 1
0 0 0
10 8
3 0 0
0 0 0
1 0 2
1 1 2
0 0 1
3 0 1
0 1 1
3 2 2
2 3 3
1 0 0
10 3
2 2 0
0 1 0
0 0 0
1 2 0
2 1 1
2 1 0
2 0 1
1 1 1
0 1 2
1 0 2
10 8
0 0 0
1 1 0
1 1 2
1 1 1
1 0 2
2 0 1
2 1 2
2 2 1
2 1 1
1 2 1
10 7
3 3 0
0 1 2
0 2 2
3 0 3
0 3 3
1 1 0
2 3 1
2 1 1
1 2 2
2 3 0
10 4
3 3 2
3 1 1
2 3 2
3 1 3
3 0 3
2 2 1
1 0 3
1 1 0
3 3 3
3 1 2
10 2
0 2 3
2 1 1
2 1 3
0 1 1
0 0 1
2 3 2
3 0 3
1 2 1
1 0 1
3 3 3
10 9
0 0 0
0 1 2
0 0 1
0 1 1
0 2 1
2 0 1
0 2 0
2 0 0
0 1 0
2 1 1
10 6
1 1 0
0 0 2
1 2 1
0 1 2
0 1 0
2 1 2
2 1 0
1 0 1
0 2 2
0 2 1
10 5
3 1 2
0 1 3
3 1 3
1 1 0
3 0 1
3 3 1
0 2 0
1 3 3
2 0 3
0 0 2
10 8
2 1 0
0 0 1
1 1 1
2 2 2
2 1 1
1 2 0
0 2 2
0 2 1
1 1 0
0 2 0
10 7
2 0 2
2 1 3
3 1 0
3 0 0
0 3 3
1 2 0
0 2 2
2 0 0
0 0 1
0 1 1
10 5
0 2 2
2 2 1
0 2 0
2 0 1
2 0 2
0 1 0
2 0 0
1 0 0
2 2 2
1 2 2
10 9
2 0 2
0 1 0
0 1 1
1 1 0
0 0 1
1 0 0
1 0 1
2 2 0
2 0 0
2 1 0
10 2
2 3 0
3 1 3
3 1 0
0 3 3
0 1 3
3 2 3
3 0 0
1 3 1
0 2 0
0 3 0
10 9
2 1 1
2 1 0
0 2 1
1 1 0
2 0 0
0 2 0
2 2 1
2 0 1
0 1 0
1 2 0
10 9
2 2 1
1 1 0
1 2 0
2 2 2
0 0 1
1 2 2
1 1 2
2 0 0
0 0 2
0 1 1
10 4
2 1 0
2 2 1
2 2 0
1 2 2
2 1 1
0 1 1
0 2 0
2 2 2
2 0 2
1 0 0
10 5
2 2 1
2 2 0
1 1 1
2 0 0
1 1 2
2 1 1
0 2 1
1 2 2
0 1 2
1 1 0
10 5
2 2 0
0 0 1
0 1 1
1 2 0
0 0 0
1 0 0
1 1 2
2 2 2
0 1 0
2 1 1
10 8
0 2 1
0 0 0
0 1 1
2 0 1
1 0 2
1 0 0
1 2 1
0 0 2
0 1 0
2 1 2
10 6
1 1 2
0 0 0
2 0 2
0 0 2
0 0 1
2 0 0
1 0 0
0 2 2
0 1 2
2 1 1
10 4
3 2 0
1 2 1
1 0 1
1 3 0
0 1 1
0 2 0
3 0 2
0 3 3
2 0 1
2 0 3
10 6
2 0 2
1 1 0
1 2 1
1 0 2
2 1 1
0 1 0
1 2 2
1 0 1
0 2 2
2 0 0
10 2
1 2 2
0 0 1
2 2 2
1 1 1
2 1 1
0 2 2
1 1 2
0 1 1
1 2 1
2 2 0
10 6
0 1 1
1 0 1
0 0 1
1 0 0
0 2 1
1 2 0
2 0 1
0 2 0
0 1 0
1 2 1
10 9
2 1 0
0 1 3
1 1 2
3 0 1
2 0 3
0 2 0
3 3 3
3 1 0
1 2 0
2 3 2
10 6
1 2 2
0 0 2
1 2 1
1 0 0
0 2 0
2 2 0
1 1 2
2 2 1
0 1 1
1 2 0
10 9
1 3 3
1 2 3
3 0 1
3 3 3
2 2 3
3 1 3
1 1 3
0 3 2
0 1 0
0 1 1
10 6
2 2 3
1 2 0
0 0 3
1 3 3
0 0 0
0 0 2
2 2 0
1 1 0
1 2 3
2 0 0
10 8
0 0 3
2 2 1
0 0 0
1 3 0
3 2 0
0 3 2
3 1 2
1 2 2
1 0 0
2 3 1
10 5
1 0 1
3 0 0
3 3 2
0 2 3
1 2 3
1 3 1
1 0 0
1 3 2
2 3 0
2 0 1
10 5
0 1 0
2 2 1
0 1 1
2 1 0
0 1 2
2 1 2
1 1 2
2 2 2
0 0 2
2 0 1
10 6
1 1 1
2 2 2
1 1 0
0 1 0
2 1 0
1 1 2
0 2 2
1 2 0
0 0 0
2 2 1
10 7
2 0 2
2 2 1
2 3 0
2 1 3
0 0 2
2 0 1
1 1 2
2 3 3
3 2 2
3 0 0
10 6
0 1 2
2 1 1
0 0 2
0 2 1
2 2 2
1 0 2
0 0 1
1 2 2
2 0 2
1 0 0
10 3
1 0 2
3 3 0
0 0 1
0 0 2
3 2 2
1 2 3
0 3 1
0 1 2
2 0 2
3 3 2
10 2
2 2 2
1 2 2
2 1 2
1 1 1
1 0 2
1 1 0
1 0 1
2 0 2
2 1 0
0 0 0
10 3
0 3 1
3 3 3
0 3 0
2 2 1
1 0 2
0 1 0
0 2 2
1 0 3
1 0 1
3 2 0
10 7
3 3 1
2 1 1
1 3 2
1 2 1
2 1 3
0 1 3
3 0 2
0 0 3
3 3 2
0 3 1
10 4
1 0 0
3 0 1
0 2 3
2 2 3
1 0 1
2 0 3
2 3 0
0 0 1
0 1 3
0 3 1
10 2
1 0 0
0 1 1
0 2 0
2 2 1
2 1 1
3 0 2
2 2 3
1 3 2
0 0 3
0 2 3
10 6
1 3 3
3 0 0
2 3 3
3 2 3
0 3 0
2 2 0
1 0 1
3 1 0
1 1 0
2 3 1
10 4
2 1 0
2 3 3
2 3 1
1 0 2
0 0 1
0 3 0
2 1 3
3 0 1
0 3 1
2 0 1
10 4
1 1 1
0 2 0
1 0 0
1 0 2
2 1 2
0 1 0
1 0 1
2 1 1
2 0 1
1 2 1
10 2
2 0 3
1 3 2
2 0 1
0 2 0
2 1 3
3 1 1
0 2 3
1 3 1
0 1 2
3 2 2
10 6
0 1 0
0 1 2
0 3 0
0 1 1
3 0 2
1 3 3
3 3 3
3 2 3
2 2 3
0 2 0
10 4
0 2 0
0 0 1
0 0 0
2 0 1
0 1 1
2 1 1
1 1 1
2 2 0
0 1 0
1 0 1
10 6
0 0 2
3 3 1
0 1 1
1 3 0
1 1 3
2 3 1
2 2 0
1 2 0
0 2 2
1 0 2
10 8
2 3 1
1 0 2
2 2 3
1 1 2
2 1 0
0 3 3
1 3 3
0 1 2
2 2 2
1 2 0
10 5
0 1 3
2 3 1
0 0 3
1 3 3
1 3 2
2 3 3
3 3 3
2 1 3
3 2 1
2 1 1
10 5
2 0 3
3 1 0
0 0 1
0 0 0
0 3 3
3 1 1
0 0 3
0 1 2
3 3 3
1 1 3
10 8
1 3 1
0 1 2
3 2 1
0 1 0
3 0 1
2 1 3
1 3 0
2 2 3
3 2 3
1 1 1
10 5
0 1 2
1 1 1
2 1 0
2 0 2
0 0 2
2 0 1
0 0 1
0 2 0
0 1 0
2 2 1
10 6
1 2 2
0 1 1
0 1 0
2 1 2
0 2 2
1 2 1
0 2 1
0 1 2
1 1 0
0 0 2
10 2
2 2 1
0 1 3
1 3 0
0 0 0
0 3 2
3 2 3
0 2 2
3 0 1
2 2 0
1 1 3
10 2
0 0 1
2 2 0
1 1 1
0 1 2
0 0 0
0 2 1
2 2 2
1 2 1
1 0 1
0 1 1
10 7
1 2 0
1 0 0
0 2 1
1 2 2
0 0 2
0 1 1
0 2 2
2 1 2
2 0 1
0 2 0
10 7
0 2 1
1 0 2
2 2 0
0 0 1
0 1 1
2 1 1
2 0 0
2 2 2
1 0 0
0 1 0
10 9
2 1 2
2 2 0
0 2 0
1 0 0
0 0 1
1 1 2
0 2 1
1 2 1
0 0 2
2 1 0
10 7
2 3 1
1 3 3
3 1 0
3 1 3
2 1 2
2 2 3
0 2 1
1 0 3
0 3 1
1 2 2
10 4
3 3 1
1 1 2
0 0 1
0 3 2
0 2 2
0 0 0
1 2 1
2 1 2
3 3 0
0 3 1
10 6
1 2 0
0 0 2
1 0 2
0 2 2
2 0 1
2 1 1
2 0 2
2 0 0
2 1 2
0 2 0
10 9
0 2 1
1 1 0
1 0 2
0 2 2
1 0 1
2 1 2
0 0 2
1 1 2
2 0 0
0 0 0
10 6
0 1 0
1 2 2
2 0 2
2 1 2
0 2 1
1 2 1
2 0 0
0 0 1
2 2 1
1 1 1
10 6
0 2 0
0 1 1
2 0 1
2 2 0
1 2 2
0 0 2
0 0 1
2 2 1
0 2 1
0 0 0
10 2
0 0 2
2 3 2
2 0 3
1 2 0
1 3 3
3 2 1
2 2 0
3 3 3
2 2 3
1 1 0
10 8
3 2 1
3 1 1
3 2 0
0 0 3
2 3 0
0 3 1
0 2 0
0 3 3
3 1 0
1 1 3
10 6
0 0 1
2 2 0
1 2 0
0 1 2
0 1 1
0 2 1
1 1 2
0 2 2
1 2 2
2 0 0
10 6
3 3 3
1 1 2
0 1 2
3 0 0
1 1 0
1 0 3
3 0 3
2 2 2
2 3 2
0 0 1
10 3
2 0 1
2 1 0
1 1 2
1 2 0
1 0 1
2 2 2
0 1 1
2 2 1
0 0 1
2 0 0
10 7
2 3 3
0 0 3
2 1 1
3 1 0
2 2 0
1 2 1
1 2 2
3 3 2
1 1 1
1 0 0
10 2
1 0 0
1 1 0
3 0 2
1 3 3
1 1 3
2 3 0
0 1 0
3 2 1
1 2 3
1 2 0
10 3
1 2 1
0 1 2
2 3 3
3 3 1
0 2 1
3 0 1
1 1 1
0 2 2
2 1 3
2 3 1
10 4
0 2 1
1 0 0
1 1 0
0 1 0
1 2 1
2 1 0
0 2 0
1 2 2
0 0 2
0 0 1
10 9
2 2 1
2 2 0
0 1 0
0 2 2
0 0 0
0 1 2
1 0 1
1 0 0
0 1 1
1 2 2
10 4
3 1 1
1 2 3
0 1 3
2 0 3
3 3 1
0 3 0
2 0 1
1 3 0
3 3 0
1 0 1
10 3
0 2 1
0 0 2
0 0 0
1 0 2
1 2 0
1 1 1
1 2 2
2 2 2
2 0 0
1 0 1
10 6
2 0 1
3 0 2
1 3 3
0 0 2
1 1 2
0 3 2
0 2 1
2 2 1
2 3 2
3 3 3
10 2
2 2 0
0 1 3
3 0 3
3 3 3
1 3 1
1 1 1
0 0 1
1 3 0
0 2 3
1 1 2
10 4
2 3 2
0 0 0
2 0 1
2 3 1
3 3 1
0 3 3
3 1 0
3 1 1
1 1 0
3 0 0
10 2
1 0 0
2 1 1
1 0 1
2 0 2
1 2 1
1 1 1
0 2 1
0 0 1
1 0 2
0 0 0
10 9
2 2 1
0 1 2
0 2 2
2 1 0
1 1 2
1 0 0
2 1 2
1 1 1
1 2 2
2 1 1
10 8
1 0 0
0 0 2
1 0 2
2 1 1
2 0 0
0 1 0
0 0 0
0 1 1
1 0 1
0 2 2
10 7
2 1 2
1 3 0
1 2 2
1 1 2
0 0 2
0 3 3
1 0 2
1 1 3
3 3 0
1 2 0
10 3
2 1 2
0 2 1
1 0 0
1 2 2
0 1 2
2 2 2
0 1 1
0 0 0
2 2 0
1 0 1
10 9
2 0 0
0 0 2
2 2 2
1 1 2
0 0 1
0 2 1
0 2 0
2 1 2
1 2 1
0 1 2
10 9
2 1 0
0 1 1
1 0 1
2 1 1
1 2 0
0 1 0
0 2 1
0 2 2
0 2 0
2 2 0
10 7
0 0 0
1 1 2
0 1 2
0 1 1
1 2 2
1 2 1
1 0 2
0 2 1
2 1 2
2 1 1
10 7
1 0 2
0 2 2
1 2 1
0 2 1
1 1 1
1 1 2
2 0 1
0 1 0
2 2 2
2 1 0
10 2
3 2 3
2 0 3
1 3 2
0 3 0
1 2 3
3 1 0
1 3 0
3 3 1
3 2 2
3 1 3
10 9
1 1 0
0 3 2
1 0 0
0 3 1
0 1 1
1 3 0
2 3 0
1 2 0
3 1 0
3 2 3
10 3
2 1 1
0 0 0
0 0 1
0 1 3
2 0 2
2 0 3
1 2 3
1 1 1
0 1 1
2 3 0
10 9
0 1 1
0 1 0
0 1 2
3 1 0
2 3 0
2 1 2
3 0 1
3 1 3
1 1 1
2 0 1
10 8
0 0 0
1 0 1
1 2 2
2 0 0
0 1 0
1 2 1
2 1 1
2 1 2
2 0 2
0 1 2
10 2
0 2 1
3 1 2
1 3 1
2 0 2
0 1 3
2 0 3
1 3 3
0 0 2
2 2 2
0 1 1
10 8
2 1 1
2 2 1
2 1 0
0 0 0
0 1 0
0 1 2
2 0 1
0 2 1
2 2 0
1 1 2
10 8
2 0 0
0 1 2
3 3 0
2 2 1
2 3 0
0 3 1
1 2 3
2 2 3
0 1 3
0 0 1
10 3
0 0 0
1 0 1
0 1 2
1 2 1
1 1 0
2 0 1
0 2 2
2 0 2
0 1 0
2 2 2
10 5
2 1 0
1 2 0
1 0 1
0 0 1
1 0 0
0 1 2
2 0 0
2 0 1
0 2 2
0 0 0
10 2
2 2 1
3 2 1
0 3 3
0 3 0
0 0 1
2 3 2
2 1 0
3 1 0
3 3 1
2 2 0
10 5
1 1 2
2 2 1
1 1 0
0 1 0
1 0 1
1 0 2
0 2 0
0 2 2
1 2 2
0 0 0
10 8
0 3 2
0 3 3
0 0 0
2 3 1
1 3 1
3 3 3
2 0 0
3 2 2
0 2 0
2 2 2
10 8
0 1 2
0 0 2
2 2 2
0 0 1
0 1 0
1 2 0
1 0 2
2 2 0
1 2 1
1 1 0
10 5
1 2 1
1 0 0
2 0 2
0 2 0
2 2 1
1 1 0
2 1 0
0 0 1
0 1 2
2 1 2
10 9
2 1 1
0 0 0
1 0 2
0 2 1
1 2 0
1 1 2
2 2 1
2 1 2
0 2 2
0 2 0
10 2
0 2 0
2 0 1
0 1 1
1 2 2
1 1 1
0 1 0
2 1 2
1 0 1
2 1 1
1 2 1
10 2
0 0 0
0 1 0
2 1 0
1 2 0
1 1 1
2 2 1
0 2 2
2 2 0
1 1 2
0 2 1
10 3
0 0 2
3 2 0
1 1 0
0 1 0
2 0 3
3 0 0
3 0 3
2 2 0
3 0 1
2 1 1
10 7
3 1 0
1 1 3
0 3 2
2 0 1
3 3 1
2 0 3
2 3 2
0 0 0
1 2 1
2 0 2
10 4
1 2 1
0 1 0
1 0 2
0 0 2
1 3 3
3 1 3
3 1 0
2 3 3
1 1 3
2 2 2
10 4
1 2 0
1 0 1
2 0 2
0 0 0
2 2 1
1 1 1
0 2 2
2 0 0
0 1 0
2 1 2
10 7
1 1 1
1 3 0
3 3 0
2 3 1
1 1 0
3 0 3
1 1 3
0 3 0
3 2 2
0 2 0
10 7
3 3 1
2 0 2
2 3 0
2 3 3
1 3 1
0 1 3
2 0 3
0 3 0
1 3 2
3 1 0
10 3
0 0 0
2 1 3
3 3 2
2 0 0
3 3 0
3 1 0
3 1 3
2 0 3
1 0 0
1 2 2
10 6
2 0 1
3 1 2
0 0 2
2 1 2
0 0 0
2 2 2
1 1 0
2 3 0
2 3 3
1 2 2
10 9
0 0 2
2 1 2
1 1 2
1 0 1
1 2 0
0 2 1
1 2 2
2 0 1
1 2 1
2 0 2
10 7
2 2 0
1 1 1
1 1 2
0 1 0
1 2 0
2 0 0
2 1 0
1 0 1
0 2 2
0 1 2
10 8
1 1 3
2 0 0
2 0 1
3 2 3
0 1 3
3 3 0
1 1 0
0 1 2
1 3 0
3 2 1
10 5
1 2 2
0 2 0
0 0 2
1 0 1
2 2 1
0 1 0
1 1 0
1 1 1
0 1 2
1 2 0
10 4
2 2 2
2 1 1
2 2 0
0 1 2
1 1 2
1 2 0
2 1 2
1 2 2
2 1 0
1 2 1
10 3
1 1 2
2 1 0
1 1 0
2 1 2
2 2 2
2 0 0
1 2 1
2 2 1
0 2 2
0 2 0
10 9
1 2 0
0 1 1
0 1 2
0 0 1
2 0 0
0 2 0
2 0 2
2 1 0
1 0 2
2 1 2
10 4
1 1 0
0 0 1
2 1 1
2 1 0
0 2 2
0 1 2
2 2 2
2 0 1
1 0 1
0 1 0
10 6
2 2 0
1 1 0
2 0 2
1 1 1
1 2 2
1 0 1
0 2 0
2 1 1
0 0 0
0 1 1
10 7
1 2 1
2 2 0
0 1 0
1 1 0
0 0 2
0 0 1
2 1 0
2 0 0
0 1 1
0 2 0
10 4
2 1 0
1 2 2
0 0 1
2 2 2
2 1 2
2 0 1
0 2 2
2 0 2
0 2 1
1 2 1
10 2
2 0 0
0 2 3
1 1 2
0 3 0
0 0 1
0 1 3
3 2 2
1 2 0
2 2 0
2 0 1
10 9
2 3 2
2 1 3
1 2 0
3 2 1
3 3 0
1 0 1
0 2 2
2 3 0
0 3 1
2 1 2
10 8
1 2 2
2 0 1
2 3 2
3 0 2
1 1 3
2 0 0
1 1 0
1 0 3
1 3 3
3 2 3
10 7
2 0 0
0 2 0
0 0 1
0 1 0
2 1 2
1 2 1
1 0 0
2 2 2
1 1 2
2 0 1
10 7
2 0 2
0 0 1
2 0 0
0 1 0
0 2 0
1 2 2
1 2 1
2 0 1
1 1 0
0 1 1
10 5
1 0 0
1 3 2
2 0 0
0 1 1
3 2 2
0 1 2
0 3 3
2 3 0
2 2 3
3 1 0
10 4
1 2 1
1 2 2
0 2 0
2 2 2
1 1 2
0 0 2
2 2 0
0 1 2
0 2 2
2 0 2
10 7
3 3 3
1 2 0
3 2 0
1 0 2
3 2 3
2 0 3
1 3 2
0 1 2
0 2 0
1 1 3
10 2
2 2 0
3 2 3
0 0 1
2 0 2
2 3 1
3 0 0
0 0 3
3 1 1
0 1 3
3 1 2
10 3
2 0 0
0 0 2
2 1 0
2 0 1
0 1 2
2 1 2
2 2 2
1 1 1
1 0 1
1 2 1
10 6
3 2 3
3 0 2
1 1 3
0 1 2
0 3 0
1 2 2
2 0 2
1 2 0
0 3 3
1 1 0
10 4
3 0 1
3 3 1
2 3 2
0 3 0
1 2 1
1 3 1
3 2 3
1 1 2
3 0 2
2 0 1
10 8
0 3 0
0 0 0
1 2 0
1 1 3
2 3 1
1 2 2
0 3 2
1 2 1
1 1 0
3 2 3
10 7
0 2 0
0 3 1
3 2 0
3 3 3
3 0 0
2 3 1
2 3 3
1 0 2
0 2 1
2 2 2
10 5
1 0 0
3 0 3
1 1 3
0 3 0
0 2 3
1 2 3
2 1 0
0 2 2
2 0 3
3 2 1
10 2
1 1 0
3 0 2
0 0 0
2 2 2
2 3 0
3 2 3
0 3 3
1 1 1
0 2 3
1 1 3
10 6
0 1 1
0 3 1
2 0 1
0 3 3
3 1 2
2 3 2
3 3 3
1 2 0
2 1 1
0 1 3
10 9
1 1 2
0 1 1
0 0 1
2 1 2
2 1 1
1 2 2
0 1 0
0 1 2
0 0 2
1 2 1
10 7
2 1 2
1 0 3
2 3 0
3 1 0
3 0 0
3 3 0
3 2 2
0 0 2
0 0 0
1 0 1
10 7
0 1 2
2 0 1
0 2 0
1 1 0
2 0 2
0 0 2
2 1 0
2 0 0
1 1 2
0 0 1
10 5
2 2 2
2 1 3
1 0 1
1 1 3
1 1 2
3 3 3
2 1 1
3 3 2
2 1 0
1 2 3
10 8
1 2 0
2 1 1
2 2 2
0 2 2
1 1 1
2 2 0
1 0 2
0 1 0
1 0 1
0 2 0
10 4
2 0 1
0 1 1
0 2 0
2 1 1
2 0 2
2 1 0
1 1 2
0 1 2
1 2 1
1 1 0
10 4
1 1 1
0 2 0
1 1 0
2 0 0
2 1 2
0 2 2
0 1 1
1 0 2
0 0 2
1 2 0
10 6
2 0 1
2 1 0
2 2 1
2 0 2
0 0 1
1 1 0
0 1 2
0 1 1
0 1 0
1 0 0
10 7
0 3 3
3 2 0
3 0 3
1 3 3
1 1 2
1 1 3
0 0 0
3 2 1
1 2 0
3 1 1
10 4
0 0 1
3 2 3
1 2 2
3 3 3
3 3 1
2 0 2
2 1 3
1 2 1
3 1 0
0 3 0
10 2
0 0 1
3 3 3
2 0 0
2 0 1
0 3 3
2 1 3
1 1 0
0 0 2
0 3 1
2 2 1
10 6
1 3 0
3 2 1
0 3 2
0 1 2
1 1 0
1 3 3
2 0 0
0 0 1
0 2 0
0 0 2
10 2
1 0 3
1 1 3
2 2 1
0 0 1
0 1 0
2 0 2
3 1 3
0 2 3
3 2 0
1 2 1
10 5
0 3 0
2 0 2
1 0 0
3 1 1
1 0 2
1 2 3
2 3 0
2 2 0
3 1 0
3 3 1
10 7
2 1 0
1 1 2
1 2 0
0 1 1
1 2 1
0 2 0
0 2 2
0 1 2
0 0 1
1 0 0
10 3
1 3 2
3 2 1
2 2 3
2 0 1
1 0 1
0 3 0
1 1 2
2 1 2
0 2 0
0 0 3
10 2
1 3 2
2 0 3
1 3 0
2 0 1
3 1 2
1 0 1
3 3 2
2 3 0
0 3 1
2 2 3
10 2
3 2 0
0 0 1
0 0 0
1 0 2
0 2 1
0 1 1
0 1 3
3 3 1
1 2 0
1 1 3
10 5
2 0 0
2 2 2
0 0 0
1 1 2
0 2 2
1 0 0
1 2 1
1 2 0
1 1 0
0 0 1
10 5
0 1 1
0 0 1
1 0 1
1 0 2
1 1 0
2 1 1
2 2 0
0 0 0
1 1 1
0 1 2
10 9
2 0 0
2 2 1
1 1 2
0 2 0
0 2 1
1 1 0
0 2 2
2 0 2
2 1 0
0 1 0
10 3
0 2 2
1 1 0
2 1 2
0 1 0
1 1 1
2 1 0
0 2 1
0 1 1
2 0 2
1 0 0
10 8
3 2 3
2 2 1
3 1 1
2 2 2
0 3 3
3 1 2
0 1 3
2 0 3
2 2 0
3 2 0
10 3
3 0 3
2 3 3
2 1 1
1 1 2
2 2 1
2 0 3
1 0 1
3 1 3
2 3 2
0 2 2
10 2
1 2 3
3 2 2
1 0 3
0 2 3
1 0 0
1 1 3
3 3 3
3 3 1
2 2 1
2 1 2
10 9
1 3 3
2 2 1
0 1 2
3 2 3
2 2 0
3 1 3
2 3 0
2 3 3
2 1 2
0 3 3
10 8
0 1 0
2 3 1
1 1 3
2 1 3
0 2 2
1 1 1
2 1 1
0 0 2
1 3 2
3 1 1
10 5
2 1 2
2 0 2
1 0 2
2 0 0
0 1 2
2 1 0
0 2 1
2 1 1
2 2 2
0 2 0
10 7
0 0 3
0 2 0
0 0 1
2 2 3
2 0 3
2 2 0
2 3 3
2 1 2
0 2 3
1 1 0
10 8
3 3 1
3 1 0
1 0 0
1 2 1
2 2 2
2 1 1
1 2 2
0 2 1
2 3 2
1 3 1
10 9
2 2 2
0 2 0
0 1 1
1 0 0
2 1 0
1 1 1
2 2 0
2 2 1
0 2 1
1 0 2
10 9
1 1 2
2 0 2
1 1 0
1 2 0
0 1 0
2 2 2
0 0 2
0 2 1
0 1 1
1 2 1
10 5
3 0 3
0 2 3
0 1 0
3 2 2
2 2 2
3 3 1
3 3 2
1 0 2
2 3 1
1 1 0
10 2
1 0 3
2 0 2
0 0 2
1 2 3
1 1 1
3 1 1
3 0 0
1 3 1
1 1 3
3 1 0
10 8
0 0 2
1 0 3
2 1 2
2 1 3
3 2 3
0 2 2
1 0 0
3 1 2
1 3 1
2 0 2
10 2
1 0 1
1 2 1
2 2 3
2 3 0
2 3 2
0 0 2
0 2 2
3 0 1
1 3 3
1 3 1
10 7
2 3 0
3 2 1
2 1 1
0 2 1
0 2 0
1 3 2
2 1 3
1 3 1
0 1 1
0 2 2
10 3
0 0 2
2 2 1
2 1 0
2 0 0
0 0 0
2 2 2
2 1 1
2 0 1
2 2 0
0 2 0
10 5
2 1 1
1 2 0
1 2 1
1 1 0
0 2 2
2 2 2
2 0 0
0 2 0
1 2 2
0 1 0
10 5
1 2 0
0 1 3
3 1 3
2 3 1
3 2 1
0 2 3
3 0 2
3 1 1
0 2 1
2 0 2
10 3
0 0 2
2 1 2
1 0 0
2 0 0
2 0 1
1 0 2
2 0 2
2 2 1
1 2 2
2 2 2
10 5
2 0 1
0 0 2
0 1 0
1 2 0
0 1 2
2 1 1
0 1 1
0 2 2
1 2 2
0 0 1
10 2
1 1 2
2 2 2
1 0 2
1 0 1
1 1 0
0 1 0
0 0 0
2 2 1
1 2 2
0 1 1
10 9
2 1 2
1 3 2
1 1 2
3 3 3
3 0 3
0 2 0
2 3 0
0 2 1
0 1 1
3 3 0
10 3
1 0 2
0 2 0
0 1 3
0 3 1
1 0 0
0 1 0
3 2 0
0 1 1
2 1 0
0 0 0
10 5
0 0 1
0 1 0
1 1 0
0 2 2
2 2 1
1 0 1
2 0 0
1 1 2
1 0 2
2 1 1
10 9
1 2 0
1 1 0
2 0 2
2 2 3
2 1 3
2 1 2
1 0 0
2 0 1
1 0 3
2 1 0
10 2
2 3 3
2 1 1
1 2 0
1 0 0
3 1 2
3 0 2
1 2 2
1 1 0
3 0 3
0 0 2
10 5
2 1 2
2 2 1
2 0 1
2 2 0
0 0 2
0 0 0
1 1 2
2 1 0
1 1 1
0 2 1
10 2
2 2 2
0 2 2
2 2 0
1 0 0
2 0 1
1 0 2
1 2 2
1 0 1
0 2 1
2 0 0
10 6
2 1 0
2 0 3
1 2 0
1 1 3
3 3 1
0 3 1
3 1 0
0 1 1
1 1 1
3 1 2
10 3
3 1 2
0 3 3
2 3 1
0 2 3
0 0 1
2 0 1
2 2 1
3 3 2
3 3 1
2 2 3
10 3
0 2 2
3 3 3
3 1 1
1 0 0
3 3 0
3 2 3
2 3 0
2 3 3
0 1 0
2 0 0
10 6
1 3 3
2 0 2
1 3 1
2 0 3
0 0 0
2 3 1
3 2 2
0 1 1
1 1 1
3 0 0
10 9
2 2 1
2 2 2
2 1 0
0 2 1
2 1 2
1 1 2
2 0 1
0 0 0
0 1 1
0 2 0
10 2
3 0 1
0 3 3
3 3 1
1 2 1
1 2 2
3 0 3
2 1 2
1 1 2
2 0 0
0 1 0
10 7
2 0 1
1 0 0
2 0 0
0 2 1
0 0 0
1 2 0
1 0 2
2 1 1
1 1 2
2 2 1
10 7
0 2 0
2 0 2
0 0 1
2 1 2
2 1 0
0 1 2
2 0 1
2 2 0
2 2 1
1 0 1
10 5
1 1 3
1 1 0
3 3 3
2 2 3
0 2 3
0 2 0
2 3 3
1 2 0
3 0 1
3 2 1
10 6
0 0 2
1 0 3
3 0 1
0 0 3
3 2 2
2 3 0
3 1 0
0 2 0
1 2 2
2 0 0
10 3
1 3 0
0 0 2
2 0 1
3 3 0
2 2 1
0 0 0
0 0 1
3 2 1
0 1 0
3 0 2
10 3
0 2 2
0 3 1
1 3 3
2 3 0
2 2 3
2 3 3
3 0 2
0 1 0
1 0 0
2 3 1
10 4
2 0 0
1 0 2
0 0 2
1 1 1
2 2 0
0 2 2
2 2 2
2 0 1
0 1 1
2 1 1
10 2
0 1 1
2 0 2
0 0 2
2 2 0
1 2 1
0 2 2
2 2 2
0 1 0
0 2 0
1 2 0
10 3
3 3 2
1 3 2
2 3 3
1 0 0
0 1 0
2 0 1
0 0 1
3 1 1
0 2 3
3 0 0
10 2
2 0 1
1 0 1
0 1 1
0 1 0
0 2 1
1 0 0
0 0 0
2 2 0
1 2 2
2 2 2
10 7
1 1 1
0 2 2
2 0 1
1 0 0
1 2 2
0 1 0
2 1 0
1 0 1
1 0 2
2 1 2
10 6
0 0 0
1 0 0
2 1 0
0 1 1
2 1 1
0 1 0
2 0 2
0 0 1
0 2 0
2 2 0
10 7
2 1 0
0 2 1
2 0 0
2 2 0
1 2 2
1 1 1
1 2 1
0 1 2
0 1 1
2 2 2
10 6
3 2 1
2 2 0
1 1 0
0 0 1
3 1 1
2 0 2
0 3 2
0 2 3
3 3 1
3 2 3
10 2
2 1 2
0 0 0
1 2 1
2 2 2
2 0 0
1 1 1
1 0 1
2 0 1
0 2 2
1 2 0
10 5
1 0 2
1 0 1
2 1 0
1 2 1
0 1 1
0 2 0
0 0 0
0 1 0
2 2 2
0 2 1
10 7
1 1 2
1 0 2
1 1 1
2 2 1
0 0 2
0 2 0
2 0 0
1 0 1
1 2 2
2 0 1
10 6
2 0 0
2 2 1
0 0 2
0 1 0
1 0 1
0 1 2
2 0 2
1 0 2
0 0 1
1 2 0
10 6
0 1 3
2 1 3
2 3 3
1 2 0
3 2 2
1 0 2
2 1 2
1 0 3
0 2 2
2 2 2
10 5
2 2 1
0 2 0
1 2 2
0 0 2
0 2 2
0 2 1
1 1 0
0 0 0
2 2 0
1 1 2
10 8
2 1 2
2 2 1
0 0 2
0 2 2
0 2 1
1 1 0
2 0 0
2 1 0
0 0 1
0 0 0
10 2
0 1 0
1 0 2
1 1 1
0 2 2
1 0 1
0 2 1
1 1 2
2 2 1
1 2 0
0 0 0
10 5
1 0 1
2 2 2
1 1 2
2 1 1
0 1 2
2 0 2
0 1 1
0 0 0
0 0 2
2 2 0
10 6
2 0 0
0 1 2
2 2 0
1 1 2
1 2 2
2 2 2
0 2 1
2 1 2
1 0 1
1 0 0
10 6
0 2 1
0 1 1
1 1 0
2 0 1
0 0 0
0 1 2
2 1 2
1 0 2
0 2 2
1 0 0
10 9
0 2 0
2 1 0
2 0 2
2 1 1
1 0 2
1 0 1
0 0 1
0 1 2
0 0 2
2 1 2
10 5
2 2 2
1 3 1
3 2 0
2 2 0
0 1 1
3 1 3
3 0 1
0 3 0
1 1 3
3 1 2
10 7
2 0 2
2 1 2
0 0 1
1 0 0
1 1 0
2 2 1
0 1 2
2 1 1
1 0 2
0 0 2
10 9
2 2 2
1 2 1
1 0 1
0 0 2
2 1 0
1 0 0
0 1 1
0 2 1
2 2 1
1 2 2
10 5
0 2 0
1 2 0
1 1 1
0 1 1
1 0 2
0 1 0
2 0 2
1 0 1
0 0 1
2 2 2
10 6
3 2 0
2 3 3
0 3 3
1 0 2
1 2 3
0 1 0
3 0 3
3 2 1
2 1 2
3 2 3
10 2
1 3 0
1 1 3
0 1 3
3 2 1
0 0 2
0 3 2
1 0 1
2 2 3
3 3 1
0 0 1
10 2
2 0 3
3 1 3
1 2 3
1 2 2
1 2 0
2 2 1
2 3 0
3 2 1
3 0 3
2 0 1
10 7
1 2 1
1 2 0
0 1 3
3 1 3
3 2 1
0 0 3
3 0 1
3 3 1
2 3 0
1 3 3
10 4
0 0 0
0 1 0
0 2 0
2 1 2
1 2 2
1 0 0
2 2 2
0 2 2
0 2 1
2 0 1
10 2
2 1 0
1 1 3
2 0 3
2 2 0
2 3 0
3 1 2
0 1 3
0 2 2
3 3 1
3 1 0
10 5
0 3 1
2 3 0
2 0 2
0 2 2
2 1 0
1 2 1
2 1 3
3 3 0
3 0 3
3 2 2
10 8
2 0 1
0 2 2
3 0 0
2 2 2
1 2 0
1 1 1
3 0 1
2 0 3
3 3 0
1 2 2
10 3
0 0 1
1 2 1
2 1 1
2 1 2
0 0 0
1 0 1
1 2 0
0 0 2
0 2 1
0 1 1
10 4
1 1 0
3 2 1
3 1 3
3 3 2
0 2 0
1 1 1
2 1 1
0 1 2
1 0 2
3 0 3
10 2
1 3 0
0 0 3
1 1 3
1 2 3
0 2 0
2 2 0
3 2 3
0 0 1
0 3 3
2 0 1
10 9
0 2 0
1 1 1
2 1 1
1 1 0
0 2 2
2 0 1
2 2 0
1 2 2
0 0 2
1 0 1
10 6
2 1 2
0 0 2
1 2 1
1 1 0
1 1 1
0 1 2
0 1 1
1 0 0
0 0 0
2 1 0
10 4
0 0 3
2 3 1
1 2 0
1 2 1
0 3 3
1 0 0
1 3 2
1 3 3
3 3 1
3 3 2
10 4
2 0 2
0 0 0
1 2 0
1 0 0
2 0 1
0 0 1
1 1 1
2 1 1
2 1 0
1 2 2
10 8
2 2 1
2 0 2
0 2 0
1 0 0
1 1 1
2 2 0
2 1 2
1 1 2
0 1 2
0 1 1
10 7
2 1 2
1 1 0
0 1 1
0 2 0
2 1 1
2 1 0
1 1 2
1 2 1
2 0 1
1 1 1
10 9
3 3 2
2 2 0
0 3 3
2 3 3
0 1 2
0 2 2
3 2 1
0 0 3
3 1 1
0 3 0
10 6
1 1 0
0 1 2
2 0 2
2 2 1
0 2 1
0 1 1
1 0 2
0 1 0
1 1 1
2 2 0
10 8
0 1 2
1 0 0
1 0 1
2 1 1
0 0 1
2 0 1
2 2 1
2 1 2
0 2 1
2 1 0
10 9
1 1 0
1 0 0
0 2 2
0 2 0
3 1 1
2 1 3
3 0 0
1 2 0
2 3 3
1 0 3
10 3
2 1 1
0 1 0
0 0 0
0 2 1
2 0 1
2 2 0
1 2 1
0 2 0
0 0 2
1 1 0
10 4
1 1 1
1 2 2
0 0 0
2 0 0
2 0 2
0 1 1
1 1 0
0 0 2
0 0 1
2 2 2
10 7
3 0 2
2 3 3
0 1 2
3 0 0
3 1 1
3 3 1
3 0 1
1 0 3
1 1 1
1 2 0
10 6
1 3 1
2 3 1
2 1 1
3 3 3
0 0 3
1 0 3
1 2 3
0 2 2
0 2 0
0 1 1
10 9
2 1 2
0 0 0
1 1 0
1 3 1
2 0 1
1 2 1
3 3 3
2 0 0
0 3 2
1 2 2
10 9
2 2 0
1 0 1
0 1 2
1 0 2
1 1 0
2 1 1
0 1 1
1 2 1
2 1 0
2 1 2
10 9
2 2 2
2 0 0
2 0 2
2 2 1
1 2 0
2 1 2
1 0 2
2 0 1
0 0 1
0 0 0
10 2
2 2 0
1 2 0
2 0 0
1 0 0
1 1 2
1 2 2
1 2 1
0 0 1
2 1 1
0 1 0
10 5
1 0 1
0 2 2
2 1 2
0 2 1
0 1 2
0 0 1
1 2 1
1 1 1
1 1 2
2 2 2
10 5
0 2 1
1 1 3
0 1 1
3 0 1
3 2 1
3 3 1
3 1 3
2 2 2
3 2 0
0 3 1
10 8
1 1 1
1 3 2
2 3 0
1 3 3
3 0 1
0 2 3
2 2 1
0 0 3
1 3 1
3 1 0
10 8
0 1 1
0 0 2
2 0 2
1 0 1
2 2 0
2 1 2
0 0 1
1 2 2
0 2 2
1 1 2
10 4
1 0 3
2 1 2
3 0 3
0 2 1
2 2 3
3 2 0
1 2 0
1 2 3
2 1 3
0 3 3
10 9
0 0 3
0 2 1
2 3 3
2 0 0
0 1 2
1 0 3
0 3 2
3 2 3
3 3 3
1 3 2
10 4
3 1 1
0 2 2
2 3 2
3 1 0
0 0 0
0 1 3
1 1 2
3 3 2
0 2 3
2 0 0
10 7
2 2 0
1 1 0
3 2 2
1 0 1
1 0 0
3 2 3
2 1 1
0 2 1
1 3 0
3 2 1
10 3
2 0 2
0 3 1
3 1 1
2 3 1
1 2 0
0 3 0
3 2 3
1 2 1
1 0 3
0 1 3
10 4
2 0 1
0 2 1
2 1 2
0 0 1
0 2 0
0 1 1
2 2 2
2 0 0
0 1 0
1 2 2
10 9
1 0 1
2 2 3
1 2 0
1 3 3
1 1 0
0 1 3
0 0 2
2 3 1
3 1 0
2 2 0
10 3
1 2 1
2 2 0
0 0 2
0 1 2
2 1 1
0 2 0
1 1 0
0 0 1
1 0 1
0 1 1
10 9
0 0 1
1 0 2
0 1 0
1 2 2
2 0 2
1 1 2
2 2 0
0 2 1
0 0 2
0 1 2
10 3
2 0 2
3 1 0
3 2 0
3 3 1
1 2 3
2 3 2
2 0 1
2 0 3
2 1 3
3 3 0
10 5
1 2 1
2 0 3
3 0 0
2 1 2
2 1 3
1 2 3
2 3 2
0 3 1
0 0 1
3 3 1
10 5
2 3 0
0 0 3
0 1 0
3 3 0
0 0 1
0 1 3
2 3 3
1 1 2
1 2 1
0 3 0
10 6
1 0 1
0 1 1
2 2 2
0 0 0
2 1 1
2 0 1
1 2 2
1 0 2
0 1 2
0 1 0
10 9
2 3 3
2 1 3
0 3 2
0 3 1
1 0 3
0 1 3
0 3 0
1 2 0
2 1 0
1 1 3
10 6
1 1 2
3 0 0
2 3 3
2 0 3
0 0 1
3 1 1
0 0 0
3 1 3
2 0 0
2 3 0
10 2
2 0 2
2 1 1
0 1 2
1 2 0
1 2 2
1 1 2
0 2 0
0 0 2
0 0 0
2 2 1
10 5
3 2 1
2 3 2
1 2 3
0 0 1
1 2 1
3 3 0
3 0 0
0 1 2
3 3 2
0 3 1
10 2
0 1 0
1 0 3
2 0 3
0 0 0
3 3 1
3 0 3
3 3 2
1 0 2
2 3 1
2 1 2
10 5
2 0 1
1 1 0
1 0 0
0 1 1
0 2 2
2 1 1
2 1 2
0 1 2
0 0 2
0 0 0
10 4
1 2 0
2 1 2
1 0 2
3 1 0
3 3 1
3 1 1
1 0 3
1 3 0
0 0 1
2 1 3
10 4
2 0 1
1 0 1
2 3 1
3 2 0
3 2 3
1 1 1
3 1 2
1 2 0
2 3 0
0 0 2
10 7
3 1 2
3 1 1
3 3 2
3 3 1
1 1 0
1 3 0
2 1 3
0 0 1
0 0 0
0 3 3
10 5
3 0 1
2 0 2
0 3 0
1 3 3
0 2 3
3 2 3
0 2 2
1 2 3
0 0 2
2 2 3
10 5
3 0 3
1 0 1
0 0 0
0 1 3
2 3 1
3 3 3
1 3 0
2 2 2
1 1 3
2 0 0
10 4
2 2 3
1 3 3
0 2 1
0 3 0
1 3 2
2 1 1
3 3 0
0 2 0
0 1 2
2 3 0
10 5
2 0 1
3 1 1
3 3 0
3 2 1
0 2 0
0 2 1
0 3 3
0 3 1
1 1 2
3 0 1
10 3
2 0 2
0 0 1
1 0 0
2 2 2
1 2 0
2 0 0
0 1 0
1 1 2
2 2 1
0 2 1
10 6
1 0 2
2 2 1
1 0 0
0 1 1
0 0 1
2 2 2
2 1 0
2 1 2
2 0 0
1 2 1
10 7
2 2 0
2 2 2
0 0 1
2 1 1
1 1 0
0 2 2
1 1 1
0 0 2
0 1 1
0 1 0
10 9
1 1 2
0 0 2
2 1 0
2 0 1
0 2 0
0 1 0
0 0 0
2 0 2
0 2 2
2 1 2
10 2
1 1 2
0 2 1
0 1 1
1 2 2
2 1 2
0 0 0
1 2 1
2 1 0
2 2 1
2 2 2
10 8
1 1 2
2 0 2
1 0 1
2 3 0
3 1 2
3 1 0
3 0 0
3 2 0
2 3 3
2 2 3
10 2
3 1 3
0 0 2
2 0 3
1 0 2
3 3 1
0 3 3
3 0 3
3 2 3
0 1 0
3 1 0
10 3
0 1 0
1 1 2
1 1 0
2 1 2
2 2 1
1 0 0
0 1 1
1 1 1
2 0 0
0 2 0
10 4
2 0 0
1 1 2
2 2 1
2 0 1
1 2 1
2 2 0
0 0 1
1 0 2
2 0 2
0 2 2
10 8
3 3 3
3 2 1
1 2 1
0 0 0
3 3 1
3 0 2
3 1 2
0 2 3
2 1 3
0 3 0
10 9
0 0 3
3 3 3
1 0 0
1 0 3
1 3 0
2 1 2
3 3 2
1 1 3
0 3 3
2 2 3
10 6
2 2 2
2 1 1
0 0 0
2 2 0
1 0 1
2 1 0
0 1 2
1 1 2
2 1 2
0 1 1
10 8
3 2 1
2 3 0
3 0 2
0 2 2
2 1 3
0 2 0
2 1 2
0 2 1
0 1 1
1 1 1
10 2
2 0 2
0 3 1
2 1 3
0 0 3
3 1 0
0 1 0
2 2 0
3 2 0
1 2 2
0 0 1
10 5
3 0 1
3 0 2
1 2 2
1 0 2
2 2 1
3 2 1
2 0 2
0 2 0
0 2 1
2 3 2
10 3
2 2 2
1 1 2
1 1 1
2 2 1
2 1 0
0 1 1
0 0 0
0 1 2
0 2 1
0 2 0
10 4
3 0 3
0 1 1
3 0 2
0 0 2
3 2 0
1 1 1
2 0 3
3 2 2
1 1 2
2 3 1
10 4
1 1 0
2 0 0
1 2 1
0 0 2
0 1 1
2 0 1
2 0 2
1 2 0
1 1 1
2 1 2
10 3
0 1 0
2 1 2
2 2 3
0 2 0
1 1 1
2 0 0
1 1 3
1 3 3
3 1 3
1 2 1
10 8
1 3 2
1 2 3
3 2 3
1 2 2
0 2 2
3 2 0
2 2 2
0 0 0
0 1 1
1 3 3
10 9
0 1 1
2 0 1
1 0 2
1 2 1
1 1 2
0 2 1
1 0 1
2 2 1
1 2 0
1 1 0
10 4
2 1 1
2 0 0
1 2 0
1 1 2
0 1 2
0 2 0
2 2 1
0 1 1
1 1 0
1 1 1
10 2
1 1 0
2 1 0
0 2 0
0 0 0
1 0 2
2 0 0
2 2 2
0 1 0
2 0 2
0 2 2
10 9
2 1 2
0 1 2
1 0 1
0 0 0
0 1 0
1 2 2
1 1 2
2 2 2
0 2 1
1 1 1
10 3
2 0 2
3 1 3
0 1 0
1 2 0
2 3 2
3 0 0
1 3 2
1 3 3
0 2 1
0 2 2
10 6
2 1 1
0 1 1
1 2 0
1 2 1
2 2 1
2 0 2
1 2 2
0 2 0
0 2 1
2 1 2
10 3
0 0 0
2 1 0
2 3 1
0 2 3
2 0 2
0 1 2
1 1 3
1 0 1
2 3 0
1 1 1
10 2
2 2 0
1 0 1
3 2 1
1 0 3
2 0 1
3 0 1
2 3 1
0 0 0
2 0 2
1 3 3
10 7
1 0 1
2 2 0
1 3 0
1 0 0
0 1 3
0 0 2
3 1 2
3 0 3
3 0 2
0 0 0
10 7
2 0 2
0 1 0
2 2 0
2 0 1
1 0 2
1 2 2
0 2 2
0 2 0
0 0 0
2 2 2
10 3
1 1 2
1 2 2
0 2 0
0 1 2
2 1 2
2 0 1
0 0 2
2 0 0
1 2 1
1 0 1
10 9
2 0 1
0 1 0
1 1 1
0 1 2
0 2 1
2 0 0
2 1 1
2 0 2
1 2 1
0 0 0
10 4
2 0 2
1 2 2
1 2 1
2 1 1
2 1 2
0 2 1
0 0 0
1 1 1
0 1 0
1 2 0
10 6
0 3 2
0 1 1
3 2 0
1 2 2
0 3 1
3 0 1
1 3 0
2 2 1
0 3 3
1 2 1
10 2
2 2 2
0 2 0
2 2 0
0 0 2
0 1 0
1 0 1
1 2 1
0 0 1
2 0 1
1 1 0
10 4
3 3 2
0 0 2
2 1 0
2 3 1
0 2 2
3 0 1
1 0 0
0 3 0
3 2 1
0 3 2
10 9
3 3 0
1 3 3
2 1 3
1 2 1
1 3 0
2 2 3
1 0 2
0 1 1
3 3 1
3 2 0
10 8
3 2 1
2 1 3
0 0 2
1 3 0
2 0 1
1 0 1
1 3 3
2 1 0
0 2 0
0 3 3
10 5
0 3 3
0 2 0
2 3 1
0 0 2
2 2 1
3 1 1
2 1 0
2 3 2
1 1 3
2 1 3
10 3
0 0 2
1 0 0
0 0 0
1 2 0
0 1 1
1 1 1
0 0 1
0 1 0
0 2 0
0 2 2
10 3
3 0 0
0 3 0
1 2 3
0 0 0
1 3 3
2 3 3
2 0 0
1 0 0
1 3 2
0 3 1
10 6
2 3 0
1 0 1
1 2 3
0 1 2
2 3 2
1 1 1
1 0 2
2 2 1
3 0 3
0 1 1
10 6
3 2 1
0 3 1
3 1 3
2 3 0
3 3 0
0 2 1
2 2 2
0 0 1
1 1 0
0 2 2
10 5
1 0 1
2 1 2
3 2 2
3 3 0
1 0 2
0 1 0
0 2 1
3 0 2
1 1 3
2 0 2
10 8
2 0 1
3 2 1
0 3 3
1 3 0
0 0 3
2 3 0
3 0 2
2 1 1
1 0 0
2 2 0
10 3
2 3 3
1 0 1
3 1 3
1 2 3
3 0 3
1 0 3
3 0 0
2 2 1
2 0 0
2 2 3
10 6
2 1 2
0 2 3
3 1 3
1 2 2
2 2 0
1 3 2
1 1 1
2 2 1
0 0 1
0 1 1
10 7
0 1 2
0 2 0
0 2 1
2 0 1
2 2 2
2 1 2
1 2 2
0 1 1
0 0 1
2 1 1
10 2
2 1 2
2 3 1
1 3 1
1 1 2
2 3 0
3 3 0
3 1 3
1 2 0
1 0 1
1 2 2
10 7
0 3 2
3 0 0
0 3 0
1 3 2
1 0 1
3 2 1
3 3 1
0 2 2
0 1 1
2 2 0
10 8
1 3 0
1 1 2
3 2 0
0 0 2
0 3 3
1 3 3
0 0 0
2 1 2
3 3 1
3 2 3
10 3
0 2 0
2 0 1
0 0 0
1 1 0
2 1 1
0 2 1
0 1 2
2 0 0
0 1 1
0 0 2
10 4
2 2 0
0 0 1
0 2 2
1 1 0
2 2 2
0 1 0
1 2 1
1 2 2
0 1 1
0 0 0
10 5
1 1 2
1 3 2
1 1 0
1 2 3
2 0 3
1 1 1
3 3 0
2 0 1
1 2 0
0 1 0
10 2
0 1 1
3 3 1
1 3 1
1 1 1
0 2 3
2 3 1
3 2 2
2 0 1
0 1 2
3 2 3
10 8
0 1 2
0 3 2
1 3 2
2 0 0
3 0 1
0 1 3
2 3 0
1 2 1
2 2 2
0 2 3
10 2
0 0 1
1 2 0
1 2 2
0 1 0
1 0 1
0 2 2
0 1 2
2 2 2
2 1 0
1 2 1
10 3
1 2 0
2 0 1
2 1 1
0 2 1
0 1 1
0 0 2
2 0 2
1 0 0
1 2 2
2 0 0
10 7
0 1 1
3 3 0
1 2 0
1 1 0
2 0 1
1 1 2
3 1 1
0 3 1
3 2 3
2 1 2
10 5
0 1 0
1 0 1
2 1 0
0 2 1
2 2 2
2 1 2
2 0 2
2 0 1
1 1 2
1 0 2
10 5
2 2 1
0 0 0
0 2 0
0 2 1
1 1 0
0 0 2
2 0 0
1 2 2
2 0 2
1 1 1
10 8
0 1 2
2 2 2
2 0 2
1 2 1
2 0 1
0 1 0
2 2 0
1 2 2
0 1 1
0 2 0
10 7
1 1 2
3 1 2
3 3 2
2 0 1
2 0 0
2 1 1
1 0 3
1 0 1
0 2 3
0 3 1
10 7
1 1 0
0 3 2
1 2 3
0 1 2
2 1 2
2 0 0
3 0 1
3 2 1
2 1 1
3 1 3
10 7
0 0 1
2 1 0
0 2 2
0 0 3
3 2 2
1 0 2
1 1 1
0 0 2
0 0 0
2 2 1
10 4
0 1 1
0 2 2
2 2 1
0 1 2
1 2 0
2 1 2
1 2 1
0 0 2
2 0 0
1 0 0
10 2
2 0 2
1 2 0
0 2 1
2 2 1
0 1 0
1 1 2
0 1 1
2 2 0
1 0 0
0 0 1
10 3
0 3 0
1 0 1
1 2 1
0 1 3
3 1 1
3 2 1
3 3 2
1 3 2
0 2 1
1 3 3
10 3
0 2 2
1 0 0
0 1 1
1 1 0
2 0 1
1 0 1
2 1 0
2 0 0
2 2 1
1 2 1
10 7
3 1 3
3 1 1
3 2 2
0 3 0
1 1 3
0 1 3
0 1 0
1 0 1
2 3 0
2 3 2
10 3
3 1 0
2 3 0
3 3 2
0 1 3
2 3 3
3 3 0
2 1 1
1 2 3
0 3 0
2 1 3
10 9
1 0 3
1 2 2
3 1 2
2 0 3
1 2 1
3 1 3
0 0 2
0 1 0
2 0 2
2 3 3
10 7
0 2 1
1 1 0
2 2 1
2 0 1
1 1 2
2 0 0
0 0 0
1 1 1
2 1 1
0 2 0
10 6
0 0 2
1 1 1
0 0 0
0 2 0
1 0 1
0 1 1
2 1 2
2 0 0
1 2 0
1 1 2
10 8
2 3 2
2 1 0
1 0 2
0 2 1
2 1 1
0 0 2
2 3 1
1 2 0
0 3 3
1 1 2
10 2
3 1 0
0 0 2
3 3 3
0 3 1
0 3 3
1 3 0
1 0 2
0 0 3
3 3 1
2 1 3
10 4
3 2 0
1 3 1
2 0 0
1 0 0
3 3 1
0 0 0
3 1 3
3 1 1
1 2 2
0 1 1
10 4
0 2 1
1 1 2
2 1 1
0 1 0
1 2 2
2 1 2
2 2 1
0 0 0
2 0 1
0 2 2
10 5
1 2 1
0 2 2
1 2 2
0 2 1
0 0 0
1 1 0
1 2 0
2 2 2
1 0 0
2 1 1
10 5
2 2 2
0 0 2
2 0 1
2 0 2
1 0 2
1 2 2
0 2 0
1 1 1
0 1 1
0 0 0
10 7
0 0 1
1 0 0
1 0 1
0 1 2
2 0 2
0 0 2
1 1 0
1 2 2
2 1 2
2 2 0
10 3
0 0 1
1 0 0
1 2 1
0 1 1
2 0 0
1 1 2
0 2 2
2 0 1
0 1 2
2 2 0
10 5
2 3 2
1 3 2
3 1 3
0 1 3
3 3 1
0 1 0
3 2 3
0 2 1
2 1 3
3 3 2
10 9
0 1 2
0 1 1
1 2 1
1 0 1
0 0 0
2 0 2
0 0 2
1 1 0
2 2 0
2 2 1
10 5
2 1 2
2 1 3
2 2 1
3 1 2
0 1 0
1 1 0
0 2 1
1 2 1
2 0 0
0 3 1
10 6
2 2 1
0 2 2
3 2 0
0 1 2
0 2 0
1 3 0
2 1 2
1 2 1
1 0 2
3 2 2
10 7
0 2 2
0 1 0
2 3 1
3 0 1
2 3 3
0 3 1
3 3 0
1 0 1
2 3 0
3 1 1
10 7
2 3 1
3 0 3
1 2 2
0 0 2
0 2 0
1 3 3
0 3 2
0 0 1
0 2 2
2 0 2
10 5
0 2 2
3 2 0
0 2 0
0 3 1
1 0 2
2 3 2
0 0 0
2 1 1
1 2 2
1 0 0
10 3
1 2 0
0 3 1
0 0 0
0 3 0
3 0 0
3 3 2
1 3 2
0 1 3
2 0 3
2 2 3
10 6
0 0 1
0 1 3
0 2 3
1 1 2
2 1 1
0 3 3
1 2 3
3 3 0
2 3 0
3 3 1
10 5
2 2 0
1 0 0
1 3 1
3 2 1
2 3 3
0 0 1
0 1 3
2 0 1
2 0 0
1 2 3
10 8
2 2 1
1 2 2
1 1 0
2 1 2
0 0 0
1 2 1
1 1 2
0 0 2
0 1 2
2 1 1
10 2
1 2 1
0 2 0
1 2 0
0 0 1
0 1 1
2 1 1
2 2 1
1 0 2
2 0 0
1 1 0
10 4
1 0 0
2 0 2
1 1 1
0 0 1
2 2 2
2 0 0
0 2 0
1 2 1
0 1 0
1 2 0
10 2
0 1 1
1 1 1
1 0 1
0 2 2
2 1 0
0 0 1
1 1 2
0 2 1
0 2 0
2 2 2
10 9
2 2 0
0 1 1
2 2 2
1 0 0
1 0 2
2 0 2
1 2 0
1 2 1
0 2 0
2 0 1
10 9
0 2 1
1 2 1
3 1 3
1 1 3
0 3 2
3 0 2
2 3 0
3 3 2
0 3 1
0 0 1
10 9
0 2 1
1 0 1
1 0 2
0 0 0
1 0 0
1 1 2
1 2 0
2 0 2
0 1 1
0 2 0
10 3
3 1 2
2 3 2
2 1 1
2 2 3
0 3 2
2 3 1
0 3 0
1 0 1
3 0 2
2 2 1
10 3
2 1 2
0 2 2
1 1 1
1 2 2
2 2 0
0 1 1
1 0 0
1 2 0
0 0 2
0 1 2
10 4
0 0 0
0 0 1
1 0 2
2 0 2
1 1 0
1 2 2
0 2 1
1 1 1
2 2 2
0 2 0
10 3
1 1 2
3 2 1
0 2 2
3 3 3
2 1 1
3 2 3
3 0 0
1 1 1
2 2 0
3 2 0
10 6
1 1 3
2 2 2
1 1 1
0 1 0
3 0 0
2 3 0
1 0 0
3 3 3
3 3 2
1 2 2
10 9
0 2 1
2 1 2
1 2 2
1 2 0
2 2 1
1 1 1
0 1 0
1 1 0
1 2 1
1 0 0
10 8
0 0 1
1 1 0
1 1 1
1 0 2
0 1 0
2 0 1
2 2 0
1 2 2
0 2 2
1 1 2
10 7
0 0 0
1 0 2
3 0 1
3 2 2
2 1 2
1 3 0
1 3 3
0 1 1
3 3 2
2 3 1
10 3
0 1 0
2 2 1
1 1 1
1 0 2
2 0 2
0 1 2
0 2 0
2 1 2
2 0 0
1 2 0
10 3
1 0 0
2 0 1
0 2 2
2 1 1
0 1 1
1 0 2
2 0 2
0 1 2
2 1 0
2 2 0
10 9
2 2 2
2 1 3
0 2 2
1 2 2
0 1 3
3 2 3
1 3 3
3 1 2
1 1 0
1 2 3
10 4
0 1 1
1 3 0
3 0 3
2 3 0
3 1 3
1 3 2
3 3 3
3 0 1
1 0 0
2 1 1
10 2
1 0 1
2 2 1
0 2 1
1 2 0
0 1 2
2 0 2
1 0 0
1 2 2
0 1 0
1 1 1
10 9
1 0 1
1 0 0
0 2 2
0 0 2
0 2 1
0 1 2
1 2 0
1 1 0
0 0 1
2 2 2
10 3
2 2 2
2 1 3
0 0 3
2 3 0
2 2 3
1 1 1
1 3 0
3 0 2
3 3 1
0 3 0
10 4
0 0 3
3 2 1
1 3 3
2 3 2
1 2 2
2 3 0
0 1 3
1 2 3
1 0 1
3 3 0
10 2
2 2 1
2 3 0
2 1 1
1 3 2
0 1 1
1 0 0
0 3 3
2 3 2
0 0 1
3 0 0
10 6
1 2 3
3 1 1
3 3 2
3 1 3
3 1 2
2 3 2
1 1 3
2 3 0
2 1 3
2 1 2
10 5
1 0 1
0 3 0
0 3 3
2 1 0
2 0 3
1 3 0
2 0 1
3 1 2
0 0 0
1 0 2
10 7
1 2 2
2 0 3
0 0 1
1 1 0
1 0 0
3 3 1
2 1 1
2 3 0
3 0 3
3 2 2
10 5
1 0 2
2 1 0
1 1 1
0 2 1
0 1 2
0 2 2
2 0 2
2 2 0
2 2 1
1 1 0
10 9
0 2 2
3 0 3
1 0 3
2 2 0
3 3 3
0 3 1
2 0 3
0 2 0
2 3 0
0 3 3
10 5
2 1 1
1 1 2
2 1 2
1 2 2
2 2 1
1 2 1
0 2 0
0 0 1
0 1 0
2 0 1
10 7
1 2 1
2 2 0
3 0 3
1 3 2
3 2 1
0 0 2
1 0 1
0 1 1
3 3 3
0 0 1
10 2
3 1 0
1 2 0
3 0 3
0 0 3
1 1 0
2 3 0
1 2 3
3 1 2
0 3 3
1 1 1
10 3
3 0 0
3 2 1
2 1 1
0 2 0
0 1 0
0 3 3
3 2 0
2 2 0
2 3 0
0 0 3
10 9
2 1 1
3 0 1
2 3 1
1 3 0
3 1 3
2 0 2
0 0 3
1 3 1
3 2 2
3 1 1
10 2
0 2 1
0 2 0
2 0 0
1 1 1
2 2 0
1 2 0
1 0 2
2 2 2
1 2 1
1 1 2
10 9
1 1 1
3 3 1
2 0 0
1 2 1
0 2 3
3 2 0
3 3 0
3 2 2
1 0 0
2 3 1
10 4
0 2 0
1 2 2
2 0 0
1 1 1
0 0 2
1 0 2
2 1 2
2 2 0
2 0 1
1 1 2
10 4
2 1 1
2 2 0
0 2 2
0 1 1
2 1 2
0 2 1
2 1 0
0 1 2
1 2 0
1 1 0
10 6
1 2 1
1 1 2
2 1 2
2 2 1
0 1 1
0 2 0
0 0 2
1 0 2
0 2 1
2 0 2
10 9
1 2 2
0 2 1
0 0 2
2 2 2
0 2 2
0 1 2
2 0 1
0 0 1
2 1 1
1 1 1
10 2
1 2 1
2 2 2
2 1 0
1 0 0
0 0 0
1 2 0
2 2 0
1 0 1
2 2 1
0 0 1
10 6
0 0 1
0 0 0
2 0 0
2 1 0
0 2 0
2 1 2
1 2 2
1 0 2
2 2 1
2 0 2
10 4
0 2 0
0 1 0
0 0 2
2 2 2
1 2 1
0 2 2
1 1 1
0 1 2
2 2 1
1 0 1
10 9
2 1 2
2 1 0
0 0 2
0 2 0
1 0 0
1 0 2
0 1 2
2 0 0
1 2 2
2 2 2
10 8
2 0 1
2 3 1
3 1 3
1 3 1
2 2 0
0 0 3
1 2 3
2 0 0
0 1 1
1 2 2
10 9
3 0 3
0 2 2
0 1 2
0 0 0
0 3 0
2 1 3
1 0 0
2 2 0
2 1 2
1 2 2
10 9
1 0 1
1 0 2
2 2 2
1 2 0
0 2 1
0 2 0
0 1 2
1 2 2
2 2 0
1 1 0
10 6
1 0 0
0 1 3
0 1 2
3 1 0
0 0 1
2 0 2
2 1 0
1 0 2
3 3 3
3 1 1
10 3
2 1 0
1 2 1
1 0 2
0 2 0
0 2 1
0 0 1
0 0 2
0 1 0
1 1 2
1 2 2
10 7
2 2 2
0 2 1
2 0 1
1 0 0
2 2 1
1 2 1
0 1 2
2 1 2
1 1 1
1 1 2
10 4
0 1 3
2 0 3
1 1 0
2 0 0
2 3 2
0 2 3
1 3 0
2 0 2
3 3 0
2 2 2
10 2
0 1 1
3 3 3
3 2 1
3 0 0
0 3 3
1 1 2
2 3 1
0 2 2
3 0 3
2 2 2
10 3
2 3 3
0 3 2
3 1 1
2 2 3
3 2 1
3 1 0
1 0 3
3 2 3
2 0 2
0 3 3
10 9
2 1 1
0 2 0
1 1 1
2 0 1
1 1 2
0 0 2
1 0 2
0 2 2
2 0 2
0 2 1
10 7
1 2 2
1 3 2
3 1 2
0 3 2
2 2 3
2 0 3
2 0 1
0 1 0
2 3 1
2 2 0
10 8
0 1 1
2 0 0
2 2 0
1 2 0
0 0 0
0 0 2
0 1 2
2 0 2
0 1 0
1 1 2
10 2
0 0 1
0 0 3
1 3 2
2 3 0
2 1 1
1 3 1
3 0 3
3 0 1
2 2 2
1 3 3
10 6
1 1 1
2 1 2
0 1 0
1 0 1
0 1 1
1 1 2
2 0 0
1 0 2
0 2 1
0 0 1
10 7
1 1 2
1 2 0
2 1 2
0 2 0
2 0 2
1 2 2
1 1 0
0 1 1
2 1 0
2 2 0
10 2
1 3 1
2 3 1
2 2 1
3 3 3
3 2 3
2 0 0
1 1 2
3 0 3
1 3 3
2 3 0
10 5
0 2 2
1 1 0
1 0 1
2 0 1
0 0 0
0 0 2
2 2 0
1 0 2
0 1 2
2 1 1
10 5
0 1 1
1 2 0
2 0 0
2 2 1
1 3 2
0 0 3
0 3 0
3 3 1
1 0 0
2 2 0
10 8
3 0 1
2 2 0
0 2 0
3 2 0
1 2 2
0 1 0
2 2 1
3 1 2
0 0 2
3 3 0
10 8
1 0 2
2 1 2
0 1 0
0 2 2
1 0 1
0 0 1
2 2 2
1 2 0
0 2 1
0 2 0
10 2
0 0 2
2 0 2
2 1 0
0 0 0
0 1 0
2 0 0
0 1 1
0 1 2
1 0 2
1 0 0
10 7
2 1 0
0 1 1
1 2 2
1 1 0
2 0 1
1 2 0
1 1 2
1 0 0
1 0 2
0 0 1
10 9
2 1 0
2 2 1
2 1 1
0 2 2
1 1 2
1 1 0
2 0 1
0 1 2
1 0 2
1 2 2
10 5
0 2 1
0 1 0
1 2 1
2 0 1
1 2 2
2 0 0
0 0 1
0 0 2
0 1 1
2 1 2
10 5
3 1 0
1 0 3
1 1 0
0 3 0
0 2 1
3 3 2
1 3 0
0 3 1
2 3 1
1 3 1
10 4
0 1 2
2 2 1
2 1 3
3 3 2
1 1 0
0 3 3
2 2 3
3 2 1
1 0 1
2 3 1
10 9
2 2 2
2 1 3
0 0 3
3 0 0
2 3 2
0 1 3
2 3 0
1 0 1
0 1 0
0 3 1
10 8
2 2 0
0 0 0
1 0 2
0 2 2
0 0 2
1 0 0
2 0 1
0 1 2
1 2 2
1 2 1
10 3
1 2 2
2 2 0
1 1 2
2 2 1
0 0 0
2 0 1
2 1 2
0 1 0
1 0 1
0 0 2
10 2
1 0 2
2 2 2
2 0 0
0 1 0
0 1 2
2 0 1
1 1 2
2 1 1
2 2 0
0 0 1
10 7
3 3 1
0 1 1
2 0 2
2 1 1
2 0 0
1 1 0
3 2 3
1 0 0
2 2 3
0 3 2
10 2
0 0 1
1 1 2
0 2 1
2 1 0
2 2 2
1 0 1
2 0 2
0 0 2
0 0 0
1 0 0
10 9
1 2 1
1 0 1
2 0 0
1 0 0
0 1 1
2 1 0
0 0 0
0 1 0
0 2 2
0 2 1
10 8
0 1 0
1 3 0
1 1 2
2 2 3
0 0 2
0 2 1
0 1 1
0 2 0
1 2 3
3 3 2
10 5
1 0 2
2 2 2
0 1 1
1 3 1
1 1 1
0 2 2
2 1 3
1 1 3
3 1 0
3 1 3
10 4
2 2 1
1 3 0
1 3 1
3 1 2
0 0 3
0 1 3
1 0 0
2 3 3
2 0 3
3 3 2
10 8
0 2 0
1 0 1
2 3 1
1 3 2
2 2 1
0 1 1
1 2 2
1 1 0
1 3 0
0 0 2
10 2
2 2 2
0 1 1
0 2 0
2 1 1
1 2 0
1 0 0
0 0 1
0 2 1
1 2 2
0 2 2
10 7
1 2 0
1 1 1
1 0 1
1 0 0
0 2 1
1 2 1
2 2 2
0 0 0
2 2 1
0 1 0
10 7
0 2 1
2 2 0
2 1 0
0 0 0
0 0 2
1 0 1
2 2 2
1 2 0
0 2 2
1 1 1
10 9
1 2 0
0 1 1
2 1 1
2 2 2
0 1 2
0 0 1
1 2 2
2 1 2
0 2 2
1 0 2
10 2
2 1 2
0 0 1
0 2 2
2 0 0
1 0 2
2 1 0
1 1 1
2 0 1
0 2 0
1 0 1
10 4
0 0 0
2 1 2
1 0 2
0 2 2
2 0 1
1 2 0
0 1 0
1 1 2
0 2 0
1 2 2
10 7
1 0 3
3 3 3
0 0 3
1 1 3
1 0 2
0 0 0
1 1 0
0 0 2
0 1 3
3 1 1
10 8
3 0 1
1 2 2
2 1 2
3 0 0
1 1 3
0 3 1
3 1 1
3 1 0
0 0 2
0 0 0
10 9
0 2 0
0 1 1
0 2 1
2 0 2
0 2 2
1 2 2
1 2 1
2 1 2
1 0 2
0 0 1
10 6
1 2 0
1 0 0
0 1 2
0 1 1
1 1 0
2 2 0
0 0 1
1 1 1
2 0 0
2 1 2
10 9
1 0 0
0 2 1
2 0 2
2 0 1
0 1 2
2 0 0
2 1 1
1 0 1
0 2 0
1 1 1
10 9
2 3 3
1 1 2
1 0 1
0 0 0
3 1 3
3 1 1
0 2 0
1 2 2
3 2 2
0 1 2
10 6
2 0 0
2 1 2
1 0 0
1 0 1
2 2 0
2 0 2
0 1 2
1 0 2
1 1 2
1 2 0
10 8
0 2 1
1 2 1
2 2 0
0 2 0
2 0 2
0 0 0
1 0 2
0 2 2
0 1 1
1 2 2
10 8
0 2 2
1 1 0
2 2 0
2 2 2
1 2 2
2 2 1
0 2 0
0 1 1
2 1 0
0 0 2
10 6
1 2 1
1 2 3
3 2 1
0 1 0
0 3 0
0 3 2
2 3 1
0 2 0
0 1 1
3 1 0
10 2
0 1 2
0 2 1
2 1 1
2 1 2
1 0 1
2 2 1
1 2 2
1 2 1
0 1 0
0 0 1
10 4
0 2 1
1 3 0
2 0 3
1 1 3
1 2 1
1 1 0
0 0 0
2 1 2
2 0 2
0 1 2
10 7
0 1 1
2 2 0
1 0 3
0 1 0
2 3 2
3 0 2
2 0 2
1 3 0
2 0 3
2 0 1
10 9
0 0 1
1 0 1
2 1 1
0 1 0
0 2 2
0 0 0
0 0 2
1 0 2
2 0 1
1 0 0
10 9
0 2 0
1 0 1
3 0 1
2 1 2
0 1 0
1 3 1
0 3 3
0 1 1
1 2 2
1 1 2
10 3
1 0 0
1 1 1
0 0 3
0 0 1
0 1 2
3 2 0
1 1 0
2 3 3
2 1 0
0 1 1
10 7
1 2 0
0 0 2
0 1 0
2 0 0
1 2 2
2 0 2
0 0 1
0 2 1
1 1 1
0 2 0
10 5
0 0 1
3 3 3
2 2 3
0 0 3
0 3 3
1 1 3
1 0 1
2 2 0
1 2 3
1 3 2
10 4
1 0 1
0 1 2
2 2 2
0 0 0
2 1 2
0 2 0
2 2 1
2 1 0
1 1 0
1 2 1
10 6
2 1 1
2 3 0
1 2 2
1 0 2
0 0 2
1 1 0
1 2 0
0 3 2
0 0 3
0 0 1
10 5
1 2 1
2 1 2
0 0 1
0 2 2
2 0 2
2 1 1
1 0 2
2 2 0
1 1 2
2 0 0
10 2
1 1 3
3 1 1
2 1 2
2 0 1
2 0 2
3 3 3
0 1 2
0 3 0
0 1 3
1 0 3
10 4
0 2 1
1 3 2
0 0 3
2 3 0
1 3 0
1 0 2
3 0 3
3 3 2
1 0 0
1 1 2
10 2
0 3 3
0 2 0
0 0 3
3 1 3
2 2 0
0 1 1
0 2 1
2 3 1
3 3 0
1 2 2
10 4
1 1 0
2 0 1
2 0 2
0 0 0
0 1 1
0 2 1
2 1 1
1 2 1
2 2 0
2 2 2
10 8
2 1 2
1 2 1
2 0 0
0 1 2
0 1 0
1 1 2
1 1 0
2 0 2
1 2 2
1 1 1
10 9
1 0 2
1 1 1
2 2 0
0 2 1
0 0 1
1 0 1
1 2 2
0 1 2
2 1 1
2 1 0
10 9
0 0 2
1 3 2
0 2 2
3 2 2
0 0 0
1 0 0
0 0 1
3 0 3
3 3 1
1 2 2
10 2
3 2 0
2 1 0
0 2 0
3 3 0
1 2 1
3 0 3
1 3 1
0 1 2
0 2 1
1 0 1
10 9
3 3 1
0 0 2
0 2 0
3 2 3
0 1 3
2 2 2
3 0 3
0 3 1
2 2 3
1 1 1
10 8
1 0 3
3 2 1
3 0 3
2 1 3
0 1 2
1 1 0
3 3 3
2 0 3
1 2 1
1 3 2
10 7
2 1 1
0 0 0
1 0 2
1 0 1
2 2 0
1 1 2
1 1 0
0 1 1
2 0 0
0 1 2
10 2
0 1 3
3 2 1
0 2 2
3 2 3
3 3 0
1 0 3
1 3 1
3 0 2
1 2 2
0 0 0
10 7
1 1 0
2 0 2
0 2 0
2 1 2
2 2 0
1 0 1
1 1 2
0 1 1
2 0 1
0 0 2
10 9
1 0 1
2 2 3
2 1 0
1 2 1
1 1 0
0 2 3
2 3 3
2 0 1
0 3 3
2 3 0
10 6
3 3 2
3 1 0
2 1 0
1 1 2
2 3 3
0 1 2
1 0 1
2 1 1
2 0 1
0 3 0
10 8
1 2 2
2 0 0
2 0 2
0 2 1
0 0 2
1 2 0
2 0 1
0 1 0
1 1 1
1 0 0
10 4
0 3 0
3 0 3
1 3 2
1 0 0
2 2 3
3 2 3
3 1 1
2 2 1
3 1 2
0 1 1
10 2
1 2 0
3 0 0
3 2 0
2 1 0
3 2 3
3 2 1
3 3 0
1 2 2
3 0 2
0 1 3
10 6
0 1 2
1 2 0
2 1 0
0 2 0
2 2 2
1 1 1
0 0 1
2 2 1
2 0 0
0 0 0
10 4
1 2 1
3 1 3
1 0 2
3 3 2
2 3 1
2 1 2
3 0 3
0 0 0
2 1 0
0 1 1
10 2
0 0 0
1 0 0
0 1 2
0 0 2
2 0 1
1 0 1
2 0 2
2 2 0
0 2 2
0 0 1
10 7
1 3 3
3 1 3
1 1 0
0 0 2
0 0 0
1 2 1
0 1 3
0 3 0
0 1 0
0 3 1
10 8
1 1 2
2 1 0
2 0 0
0 1 2
1 0 0
0 2 1
0 0 0
0 1 0
1 2 2
2 2 0
10 8
2 0 3
3 0 0
2 0 2
2 3 2
1 3 1
2 3 0
0 1 1
2 1 3
2 1 2
1 3 3
10 9
3 3 1
2 3 1
1 1 2
3 0 1
3 0 2
3 2 0
2 3 2
2 1 0
3 2 3
1 0 2
10 7
0 0 2
0 0 1
2 1 2
2 0 1
0 2 2
0 1 2
0 1 1
1 1 1
1 2 2
1 1 2
10 4
3 0 3
2 2 2
1 0 0
0 0 3
2 0 3
2 2 1
0 0 0
3 0 1
1 1 2
3 2 2
10 9
1 1 1
3 1 2
3 3 3
3 3 0
0 0 0
3 1 1
2 2 0
0 3 3
2 0 3
1 1 0
10 7
1 2 1
2 1 1
2 0 1
0 0 2
0 1 2
0 1 1
2 1 2
2 2 2
0 0 0
1 0 2
10 8
0 1 2
2 2 0
0 0 1
1 0 1
1 0 0
1 2 0
2 2 2
0 1 0
1 1 2
0 2 1
10 4
2 2 1
1 1 0
0 0 0
2 1 1
0 2 0
0 1 0
1 2 0
2 2 0
2 0 1
2 1 2
10 9
0 2 1
2 0 2
1 0 0
2 2 0
1 2 1
2 0 1
1 2 2
0 0 1
2 1 1
1 2 0
10 4
3 0 0
3 2 0
2 3 3
2 3 2
1 3 1
1 0 3
3 3 3
1 3 2
0 1 3
1 2 0
10 3
3 2 1
2 3 3
1 1 0
3 0 0
3 2 0
1 3 1
0 2 1
1 0 1
1 1 2
1 3 0
10 2
1 3 1
0 3 2
2 3 1
3 0 1
0 1 2
1 2 0
2 2 1
0 0 2
2 3 2
2 0 0
10 5
1 1 0
1 0 1
0 1 0
2 2 1
2 0 0
1 1 2
0 0 1
2 1 0
1 1 1
1 0 2
10 2
1 0 2
1 0 0
0 2 0
2 1 2
0 0 1
2 0 2
2 1 1
2 2 0
2 0 0
1 2 1
10 5
1 1 1
0 2 2
1 2 2
2 0 0
0 0 1
2 1 1
1 1 0
0 2 1
1 2 1
2 2 0
10 9
1 3 0
3 2 2
3 3 2
3 1 0
2 3 3
1 0 3
3 0 0
1 0 1
1 2 0
2 1 2
10 5
0 2 0
1 2 2
0 0 1
1 0 1
2 1 1
2 2 1
0 1 0
1 2 0
0 2 1
0 0 0
10 4
1 0 0
0 1 1
2 2 2
0 0 0
0 2 0
1 1 0
0 2 1
1 2 1
1 2 0
0 0 1
10 9
2 1 3
3 2 0
1 0 3
1 1 2
1 0 1
2 3 2
2 2 1
1 1 0
0 3 0
0 0 1
10 5
3 0 3
1 2 1
0 3 2
2 1 1
3 1 3
1 3 0
1 2 2
3 3 3
0 2 1
1 1 2
10 2
3 0 3
2 2 2
2 2 1
3 0 0
3 1 3
2 3 1
1 0 1
2 1 2
0 2 2
0 0 1
10 7
1 1 1
0 1 0
2 1 0
1 2 1
1 1 2
1 0 1
1 0 2
2 1 1
1 2 2
2 2 2
10 2
2 3 3
1 1 1
3 1 1
0 1 3
0 2 1
1 0 1
1 2 3
2 0 2
3 2 3
1 2 1
10 6
3 2 1
0 3 0
3 2 0
3 0 1
1 3 1
1 2 3
2 3 1
0 3 2
1 2 2
0 2 2
10 5
1 1 0
0 2 1
2 0 2
2 1 2
2 2 1
2 2 0
0 0 2
1 0 0
1 2 2
2 0 0
10 9
1 1 1
1 1 2
0 1 0
0 1 2
2 1 0
2 0 1
2 1 1
2 0 2
0 2 1
1 2 0
10 7
3 2 0
1 1 0
2 1 2
1 1 3
3 3 3
3 0 0
2 1 3
1 0 0
1 0 2
0 2 1
10 3
1 3 0
2 3 1
3 3 3
1 3 1
2 1 0
3 3 1
1 2 0
0 0 1
0 1 0
3 0 0
10 4
2 1 1
2 1 0
2 0 0
1 1 1
0 0 0
0 1 0
1 2 0
2 2 2
1 0 0
2 2 1
10 6
2 2 2
2 0 0
0 2 1
0 0 2
2 1 0
1 1 1
0 0 1
1 0 1
0 1 1
1 0 0
10 5
1 3 1
3 3 0
3 2 0
1 0 1
3 0 3
0 0 0
1 1 3
3 2 1
2 0 0
1 2 0
10 6
2 0 3
3 0 3
3 2 2
0 1 2
0 3 1
1 2 3
3 3 3
3 3 2
1 0 1
3 2 1
10 7
2 0 2
1 0 2
0 3 1
2 0 1
2 3 0
1 1 1
0 3 3
2 3 2
1 1 3
0 2 0
10 9
0 0 2
2 1 2
1 2 1
1 0 2
2 2 0
2 2 2
1 0 0
2 0 0
1 1 2
1 2 0
10 9
0 1 1
2 0 0
1 1 1
0 2 1
0 2 2
0 1 2
0 0 0
0 0 2
1 2 0
2 1 1
10 3
2 1 0
2 2 1
2 2 2
2 0 0
1 0 0
1 1 1
0 1 0
0 0 1
1 1 2
0 1 2
10 5
2 1 0
2 0 0
2 1 1
1 1 0
0 1 0
0 1 2
2 2 1
2 2 2
0 1 1
0 2 0
10 6
0 1 2
2 2 2
2 0 0
2 2 1
1 0 0
1 1 2
2 1 0
0 2 2
2 0 2
1 1 1
10 9
2 1 2
2 2 2
0 2 0
0 0 2
0 2 1
1 0 0
2 1 1
0 1 1
1 1 1
2 0 0
10 6
3 1 3
2 3 0
1 1 1
0 0 2
0 3 0
0 1 2
2 3 3
0 2 3
0 1 1
3 3 1
10 8
1 0 1
2 0 0
0 2 1
0 1 0
2 2 1
0 0 2
2 1 0
0 1 2
1 2 2
0 2 2
10 4
2 1 2
0 0 1
2 0 0
0 2 0
2 2 2
1 0 0
2 2 1
1 1 2
1 0 2
0 0 0
10 3
0 2 1
0 2 2
0 0 2
2 1 0
2 1 1
2 1 2
1 1 1
0 1 1
0 0 1
2 2 2
10 5
3 0 3
3 1 1
2 1 1
2 1 2
3 0 1
3 3 0
0 3 1
3 0 2
1 2 1
2 3 0
10 8
1 2 0
3 3 3
3 1 0
1 2 1
3 2 1
1 3 0
1 2 2
0 0 2
0 2 0
2 3 2
10 6
0 0 1
0 0 0
1 0 1
2 0 0
2 0 1
1 1 2
2 0 2
0 2 1
0 1 0
1 1 0
10 2
2 2 1
0 0 0
0 1 0
1 1 0
1 1 1
1 1 2
0 0 1
0 1 1
2 1 0
0 1 2
10 8
1 2 2
1 0 3
3 3 1
0 3 2
1 3 3
3 1 1
3 2 3
0 1 1
0 2 3
1 1 2
10 8
2 1 2
1 2 0
2 1 1
1 1 2
0 2 2
0 0 1
0 0 0
1 0 0
1 0 1
0 1 0
10 9
0 1 2
1 0 2
0 2 0
2 1 1
1 1 2
0 0 0
1 1 1
1 1 0
2 1 2
1 2 1
10 5
1 2 3
1 1 1
0 2 0
3 0 2
1 1 2
1 1 3
2 2 3
2 0 1
3 1 1
1 3 2
10 8
1 1 2
1 2 3
3 2 3
3 1 2
2 3 2
2 2 1
0 1 0
2 2 3
3 0 1
3 1 3
10 6
0 0 2
1 2 0
2 0 1
1 1 3
1 0 2
2 0 2
1 3 3
3 1 3
0 3 3
2 0 3
10 6
2 1 1
0 2 3
0 0 1
1 2 1
2 1 0
2 3 0
0 2 1
3 1 3
3 2 2
3 1 0
10 7
2 2 1
1 2 2
2 2 0
0 1 1
2 0 2
2 0 0
1 2 1
1 0 2
2 1 1
0 0 0
10 6
2 1 3
2 0 2
0 1 0
2 3 3
0 2 0
0 1 1
3 2 1
3 3 3
0 3 3
3 2 3
10 6
1 1 2
2 0 0
0 2 0
0 2 1
1 0 0
0 1 2
2 2 1
2 2 2
1 1 0
0 2 2
10 9
2 0 3
0 1 1
0 1 0
0 1 2
1 3 0
0 2 2
1 1 2
3 0 3
2 1 2
2 3 0
10 4
0 1 0
0 0 0
1 1 2
1 2 1
2 1 2
0 2 1
2 2 2
1 0 1
0 1 1
0 2 2
10 5
3 2 1
0 0 1
3 1 0
1 0 2
1 2 2
3 0 2
2 2 3
2 3 0
0 3 0
2 0 1
10 9
1 0 0
2 2 2
0 0 2
0 2 2
1 2 1
2 1 1
1 0 1
2 2 0
2 1 0
0 2 1
10 8
1 0 0
1 1 1
0 2 2
2 2 2
1 0 2
0 0 0
0 2 1
2 1 0
0 1 2
0 1 0
10 6
0 2 2
1 1 2
0 0 2
0 1 2
2 0 0
0 1 0
1 2 1
2 0 2
1 0 1
2 1 0
10 6
1 1 2
3 1 3
2 1 2
3 3 0
2 3 0
3 2 0
3 1 1
2 2 1
2 2 0
2 0 1
10 2
1 2 1
1 0 2
0 2 0
1 1 1
2 0 0
2 1 0
0 2 1
0 0 1
2 2 1
0 1 2
10 5
0 2 0
3 1 1
3 0 2
1 2 0
3 3 0
0 3 0
0 3 1
1 3 0
0 0 3
2 1 1
10 9
1 1 0
1 1 2
2 0 1
0 1 3
2 2 0
0 0 3
1 3 1
3 3 1
3 2 0
1 2 0
10 7
2 2 2
1 2 1
1 1 1
2 0 1
2 1 1
1 2 0
0 1 2
0 1 1
1 1 2
2 1 0
10 8
2 0 0
1 1 0
2 2 2
1 1 3
1 3 2
2 0 2
3 2 3
3 0 2
1 3 1
0 2 0
10 4
0 0 1
0 1 2
1 0 0
0 3 0
1 2 0
0 3 2
0 1 3
1 2 3
0 2 0
1 1 0
10 9
3 1 2
2 2 1
1 0 3
3 3 1
2 1 3
2 1 2
0 0 0
3 0 1
3 1 3
3 0 3
10 6
0 0 3
2 3 3
1 2 0
1 2 3
2 3 2
2 0 2
1 0 0
1 0 1
0 1 2
2 2 0
10 3
2 2 1
0 0 2
1 2 2
1 1 1
1 1 2
2 1 2
0 0 0
2 1 1
2 2 0
0 2 1
10 2
1 0 1
0 0 2
3 3 3
2 3 1
1 3 0
3 2 3
2 2 0
2 2 3
3 0 3
1 3 1
10 5
2 0 0
0 0 0
2 1 0
2 1 1
0 0 1
1 1 0
0 2 1
0 1 0
0 2 2
1 0 1
10 7
2 1 0
3 3 0
1 0 0
3 3 1
3 2 2
3 0 2
2 1 2
3 0 1
3 0 3
1 0 3
10 4
1 2 0
3 3 3
1 3 2
0 3 3
2 1 1
3 0 3
3 3 1
2 0 0
0 1 2
2 2 2
10 9
2 2 2
0 3 2
2 1 2
2 2 3
1 1 3
1 0 3
0 0 1
0 0 2
2 0 0
1 1 2
10 7
1 2 0
3 1 3
0 0 1
2 2 2
2 0 3
0 1 3
0 0 3
0 1 0
1 1 1
1 0 3
10 7
0 0 2
0 0 1
0 0 3
2 2 3
0 3 3
0 1 3
0 2 1
1 3 1
2 0 2
1 1 3
10 4
1 3 1
1 2 2
1 3 3
2 1 2
2 2 2
3 2 2
0 0 3
0 0 2
1 1 1
1 0 1
10 8
2 2 2
1 0 3
1 1 1
3 2 2
3 3 2
3 3 1
0 1 3
2 2 0
2 2 1
0 0 1
10 5
2 3 1
1 3 3
1 2 2
2 3 3
2 1 3
0 3 0
2 0 2
1 0 1
0 1 3
0 2 1
10 3
0 0 1
0 0 2
0 1 1
1 0 1
2 0 2
2 0 0
1 1 1
2 2 2
2 2 0
1 1 0
10 5
0 0 2
2 0 0
1 2 1
2 2 2
2 1 2
1 2 2
2 1 1
1 1 2
1 0 2
2 0 1
10 5
1 1 1
1 2 2
0 0 0
1 0 2
2 1 1
0 1 2
2 1 0
1 1 0
2 0 1
1 0 1
10 7
1 1 0
2 0 2
2 1 0
1 0 0
0 2 0
3 1 3
2 1 2
1 0 2
1 1 1
0 1 1
10 6
2 0 2
2 0 1
1 0 0
2 1 0
0 0 1
1 1 2
1 1 1
1 2 0
0 2 0
0 0 2
10 9
1 1 1
1 0 0
1 2 2
1 0 2
1 2 0
2 0 1
0 2 2
0 1 1
0 1 0
1 0 1
10 3
0 1 1
0 2 2
2 2 0
2 3 2
3 2 1
0 3 3
3 1 1
2 2 2
3 1 2
3 1 3
10 8
1 0 0
0 3 0
0 2 2
0 3 1
3 0 3
1 1 0
0 3 2
2 0 0
1 2 0
0 0 0
10 5
2 1 1
1 1 1
0 0 0
2 1 2
2 2 1
0 1 1
0 0 2
1 0 1
1 2 0
0 1 2
10 3
3 1 1
0 3 3
0 3 1
2 3 1
3 3 2
1 2 1
3 3 3
3 1 0
2 1 2
1 3 2
10 3
2 0 0
0 1 1
1 1 2
1 0 0
1 0 2
0 0 0
1 0 1
2 1 2
2 2 1
2 2 2
10 9
1 0 1
0 2 0
1 1 1
2 2 2
0 1 2
1 1 0
2 1 0
2 0 0
0 0 2
2 0 1
10 4
1 1 1
1 1 2
0 0 2
1 2 1
2 0 2
1 1 0
1 2 0
2 1 2
0 1 1
1 0 1
10 4
0 1 2
3 3 3
3 1 0
2 0 0
2 2 2
3 0 3
0 3 1
2 3 3
3 2 1
0 2 3
10 8
2 0 1
2 1 1
1 2 2
1 2 0
1 2 1
1 1 2
1 1 0
0 0 2
1 0 0
0 0 0
10 3
2 1 1
1 2 1
3 3 2
1 2 3
0 0 2
2 3 3
3 3 0
1 1 0
1 3 2
3 1 1
10 6
1 0 0
2 2 1
0 2 0
2 1 2
1 2 2
2 1 0
2 2 0
1 0 2
0 1 0
1 1 2
10 3
0 0 2
1 1 1
2 1 2
0 1 1
1 2 1
2 0 0
0 2 0
2 1 1
2 2 2
1 1 0
10 4
2 2 2
0 1 2
2 1 1
0 0 0
1 0 1
1 2 1
0 1 0
0 0 1
1 1 0
1 0 0
10 4
3 0 2
0 0 3
3 2 0
2 3 3
1 2 2
0 2 2
1 2 1
2 1 2
2 3 0
2 1 3
10 6
1 0 1
3 3 2
2 3 0
3 2 3
2 2 3
0 2 2
3 2 0
2 2 0
3 1 2
1 3 3
10 5
0 1 1
1 2 2
0 0 2
1 1 0
1 2 1
1 2 0
0 2 1
2 2 0
2 2 1
1 0 1
10 6
0 0 3
0 0 1
1 0 0
3 0 0
3 0 3
3 3 3
0 0 0
2 0 1
3 1 3
0 3 2
10 8
3 1 3
1 0 1
1 2 3
2 1 1
2 0 0
0 1 3
3 1 2
3 1 1
1 2 0
2 2 0
10 2
2 2 2
0 2 1
1 1 0
1 1 2
2 0 0
2 1 2
1 2 2
2 2 1
2 0 2
1 0 0
10 6
0 0 0
2 2 2
0 1 2
2 2 1
2 1 0
1 0 0
1 2 2
2 1 1
0 2 0
2 1 2
10 3
2 1 0
1 1 1
1 0 2
1 0 1
0 0 0
0 2 0
0 2 1
2 0 1
2 0 2
2 1 2
10 8
2 2 2
1 1 1
2 1 2
1 0 0
1 0 2
1 2 1
0 0 2
1 2 0
1 0 1
2 2 1
10 5
3 1 0
3 0 2
3 1 2
2 2 0
1 2 3
3 2 0
2 3 3
3 0 0
3 0 3
1 1 2
10 4
3 1 1
0 3 1
3 0 0
3 2 2
2 2 3
1 3 1
0 0 2
0 3 0
2 0 0
3 2 1
10 3
1 1 2
1 1 3
0 3 1
1 2 2
1 1 1
0 1 1
3 1 2
3 2 2
3 3 3
0 3 3
10 2
1 2 2
1 1 3
1 0 0
3 2 3
1 0 3
0 3 0
1 2 3
0 1 0
1 3 2
2 1 2
10 9
0 1 3
3 3 2
3 3 3
1 1 1
0 0 1
1 3 0
0 1 1
1 2 1
3 2 0
0 3 3
10 9
0 0 1
3 2 0
1 1 3
0 1 2
1 0 3
1 1 2
3 2 1
1 2 3
2 0 2
2 0 3
10 6
2 0 1
2 0 0
0 1 1
1 1 2
1 0 1
1 2 2
0 0 0
0 0 1
1 1 0
2 2 2
10 4
2 1 0
2 2 0
2 0 2
0 0 2
0 1 0
1 1 1
1 1 0
2 1 1
0 2 0
0 2 2
10 6
0 1 3
3 1 3
3 0 3
1 2 3
2 2 3
2 3 0
3 2 3
2 3 3
1 1 0
1 3 1
10 9
2 1 3
3 1 1
1 2 3
3 3 0
2 0 0
0 0 0
1 1 2
3 3 2
2 2 0
2 0 1
10 3
2 1 1
2 0 0
0 1 1
0 0 1
0 1 2
0 2 2
2 2 2
1 1 2
0 2 0
0 2 1
10 5
2 0 2
2 2 0
1 0 2
0 0 2
1 1 0
0 1 2
1 0 1
2 0 0
0 2 0
0 2 1
10 7
2 2 1
0 2 2
0 1 2
1 0 1
1 1 0
2 1 2
0 2 1
2 1 1
2 1 0
1 2 2
10 8
1 1 2
2 1 2
2 2 2
2 0 1
0 2 0
2 1 0
1 2 1
1 2 2
2 2 0
0 2 2
10 4
1 0 0
1 2 0
2 2 2
0 2 2
1 0 1
0 1 1
1 1 2
2 2 1
2 0 1
1 2 2
10 6
1 0 0
2 0 0
2 1 0
2 2 2
1 2 0
2 0 2
0 2 2
0 1 1
1 1 2
1 1 1
10 3
1 3 2
2 2 2
1 0 2
0 1 1
1 2 2
2 3 3
2 1 1
0 3 0
0 3 2
2 0 3
10 9
2 0 3
0 1 1
0 0 1
3 0 2
1 3 1
2 1 0
3 1 0
2 2 3
0 3 2
0 0 0
10 4
2 2 1
0 0 2
1 1 1
1 0 2
1 2 0
1 0 1
2 1 2
0 1 0
2 0 1
1 1 0
10 9
1 0 3
2 2 2
0 3 2
1 2 3
0 0 1
1 3 0
0 2 0
1 1 1
1 0 2
2 1 0
10 5
2 3 0
0 0 0
2 0 3
1 0 2
1 3 1
1 3 2
0 1 1
2 0 1
2 2 3
3 2 3
10 4
1 0 2
2 1 1
1 1 1
0 1 1
1 0 0
2 0 0
0 1 2
1 1 0
0 0 0
2 2 0
10 2
1 1 2
2 0 2
0 0 0
2 0 1
2 1 0
0 0 2
0 1 0
2 0 0
0 2 1
2 2 1
10 8
2 1 1
2 1 0
0 2 2
1 2 2
1 1 2
2 0 2
1 0 2
1 1 0
2 1 2
0 1 2
10 7
2 1 2
1 1 0
1 1 2
2 2 1
0 1 2
2 1 1
1 0 0
0 1 0
0 2 2
1 2 2
10 9
1 1 2
2 0 2
2 1 0
1 1 0
1 0 1
1 1 1
2 1 1
1 2 2
0 2 2
2 0 0
10 2
1 0 0
2 2 0
0 2 2
2 2 2
0 0 2
2 2 1
2 0 1
1 0 2
1 1 1
2 0 0
10 7
3 0 0
3 2 1
2 0 2
1 1 1
3 3 0
2 1 1
2 3 1
3 1 2
0 0 0
2 0 0
10 6
1 0 1
1 1 1
2 2 0
1 1 2
1 2 2
0 0 2
0 2 0
0 1 0
2 2 2
2 0 1
10 4
2 2 1
2 2 2
1 2 3
3 2 0
3 2 3
1 0 1
2 1 1
0 2 0
2 3 2
3 0 1
10 7
2 0 0
3 3 1
2 0 3
1 3 1
2 3 3
2 3 1
0 1 2
0 1 3
2 0 2
1 1 1
10 9
0 1 1
0 1 0
1 1 1
2 2 1
1 0 1
0 2 1
1 2 0
2 2 0
2 0 2
2 1 2
10 4
0 1 1
0 0 2
1 0 2
3 2 2
2 1 0
1 2 2
2 0 3
1 3 1
2 1 3
2 2 3
10 7
0 1 0
0 2 0
1 2 1
1 1 1
0 2 1
2 0 2
1 2 2
2 0 1
2 1 0
0 2 2
10 4
0 1 3
1 3 3
1 0 0
0 3 3
1 2 3
1 3 0
3 3 0
3 0 3
3 1 1
2 2 0
10 5
0 0 0
1 0 0
0 2 1
2 0 2
0 1 1
0 0 1
0 2 2
2 0 0
0 0 2
0 2 0
10 4
2 1 0
1 2 1
0 2 1
2 0 1
1 1 2
2 0 2
1 2 0
2 2 0
0 1 1
2 1 2
10 8
2 2 0
2 2 1
1 2 0
0 0 0
1 0 2
2 1 0
2 1 2
1 2 2
2 0 2
2 0 0
10 6
2 2 1
0 2 2
0 2 1
2 0 2
1 1 0
2 2 0
1 0 1
1 2 1
0 0 0
1 1 1
10 4
2 1 3
1 3 3
3 2 1
1 1 2
2 2 0
0 1 2
0 1 1
3 0 0
0 1 0
3 2 2
10 8
1 0 2
1 1 2
0 0 1
2 2 2
0 0 0
2 0 0
0 2 0
1 2 0
1 1 1
0 1 0
10 8
3 1 1
2 1 0
1 2 2
2 0 0
2 2 2
0 0 0
3 0 2
3 3 2
0 2 0
1 0 2
10 9
1 1 2
0 2 2
0 0 1
1 0 1
2 2 2
2 2 1
1 2 1
0 1 2
0 1 0
1 0 0
10 4
0 2 1
1 0 3
0 3 0
0 1 0
0 3 2
0 2 0
2 0 3
3 3 0
0 2 3
3 1 3
10 4
3 3 3
0 1 2
1 1 0
3 1 1
2 0 3
2 2 1
1 0 3
0 2 2
3 2 3
0 2 1
10 7
1 0 3
0 0 0
1 2 1
1 0 1
1 0 0
0 1 3
3 3 0
2 2 2
3 3 2
3 2 2
10 7
1 2 1
1 0 2
1 2 2
3 3 2
2 2 0
2 1 0
0 2 2
3 1 2
3 2 2
1 3 0
10 2
0 2 2
2 1 1
3 1 1
1 1 1
3 1 2
0 1 3
1 3 0
0 3 1
0 1 2
3 0 1
10 8
0 2 1
1 1 0
2 0 1
0 0 0
2 1 2
1 1 1
2 0 0
1 0 2
2 0 2
1 0 0
10 5
2 0 2
0 2 0
0 0 1
2 2 2
1 0 0
2 2 0
1 2 2
1 2 0
1 0 2
2 1 2
10 7
0 0 1
1 1 2
1 2 1
2 0 0
2 1 2
2 0 1
1 0 1
1 0 2
0 0 2
2 0 2
10 2
0 2 3
3 0 2
3 0 3
1 0 1
3 3 3
0 3 1
3 3 0
3 2 3
2 2 3
1 3 1
10 6
1 1 0
2 2 2
2 1 0
1 0 1
0 2 2
0 2 1
0 1 1
0 0 1
1 2 1
1 1 1
10 8
1 0 2
0 1 0
0 1 1
2 3 1
3 2 3
1 0 1
0 0 1
0 2 2
3 3 0
0 0 3
10 2
1 1 0
2 0 2
3 0 3
0 3 1
1 2 3
0 0 3
0 1 1
1 0 1
3 1 1
2 1 3
10 3
3 1 3
2 3 0
0 2 2
3 3 2
2 0 2
2 0 1
2 1 3
1 1 1
2 3 2
0 3 1
10 5
2 3 1
3 1 3
1 0 1
3 0 1
0 0 3
2 2 3
0 3 1
2 1 0
2 1 1
1 0 3
10 9
0 1 0
2 2 0
1 2 1
2 0 0
0 0 1
1 2 2
2 1 2
2 0 2
2 1 1
0 0 2
10 5
2 2 2
0 1 0
1 2 0
0 2 2
0 2 1
0 0 2
0 0 0
1 0 1
2 1 0
0 1 1
10 8
1 3 1
3 0 1
1 0 0
0 0 3
2 2 0
2 1 0
1 0 2
1 3 2
2 0 2
1 2 2
10 2
1 2 0
1 2 2
0 1 2
0 2 2
2 1 0
2 2 2
2 1 1
1 0 0
2 2 1
0 2 1
10 6
0 3 0
1 3 1
3 1 1
0 1 3
2 3 1
0 0 0
0 3 1
0 1 2
1 1 3
0 2 1
10 4
1 1 1
1 0 0
1 2 1
1 0 1
0 1 0
1 2 2
2 0 0
1 0 2
2 2 2
2 1 0
10 6
0 1 2
1 0 1
2 1 1
0 2 0
0 1 1
1 1 1
1 1 2
1 2 2
2 0 1
0 0 0
10 2
2 1 3
2 3 1
3 1 0
3 1 1
3 3 0
2 1 0
3 1 2
1 1 2
2 3 0
0 2 1
10 8
2 2 2
3 3 1
3 3 0
1 2 2
0 3 1
1 2 3
2 0 2
1 0 0
0 0 1
0 0 0
10 3
0 0 2
1 1 1
2 1 1
2 0 0
0 1 1
0 0 1
1 0 2
0 2 2
1 2 2
2 0 1
10 3
0 2 0
2 2 0
2 0 2
0 0 1
2 2 1
0 1 0
1 1 1
1 0 0
0 2 2
0 1 1
10 4
0 3 1
3 2 2
1 1 1
0 1 1
2 0 0
0 0 0
0 3 0
2 1 3
0 0 2
2 1 0
10 8
0 2 0
0 1 0
1 0 1
2 0 2
1 1 1
0 1 2
2 2 0
2 1 2
2 2 1
0 2 1
10 4
0 1 0
2 1 0
2 2 1
0 0 1
1 2 1
1 0 1
0 1 1
0 1 2
1 2 0
1 0 0
10 4
3 1 2
2 1 3
3 0 0
3 0 2
3 1 3
2 3 2
2 2 0
0 2 3
2 2 2
3 2 0
10 2
1 0 2
0 2 0
0 0 1
1 0 0
1 1 2
0 1 1
2 0 2
2 1 2
0 1 0
2 2 2
10 6
0 2 0
0 0 1
0 2 2
0 2 1
2 1 1
1 0 1
2 1 0
1 2 2
0 0 0
0 1 2
10 7
0 3 2
0 1 2
0 3 3
0 3 0
3 3 0
2 2 1
1 2 0
3 3 1
0 1 1
3 2 0
10 8
3 1 1
1 2 2
1 2 0
0 0 3
1 0 2
2 3 1
3 0 0
2 2 2
0 3 2
2 0 3
10 5
3 1 0
0 1 2
0 2 3
2 0 1
3 1 1
0 0 2
0 3 0
2 0 3
2 2 0
1 0 0
10 3
2 2 1
1 2 0
2 0 1
2 0 0
1 0 0
0 0 2
0 0 1
0 2 2
1 2 2
1 1 0
10 9
1 0 2
0 2 2
2 0 0
2 1 2
0 2 0
1 2 0
1 1 2
1 0 0
1 2 1
0 1 1
10 9
2 3 1
0 2 3
1 0 3
3 1 0
2 2 0
2 1 2
2 2 3
0 0 0
3 3 3
1 3 0
10 8
2 2 0
0 0 0
1 0 1
3 3 1
0 2 0
3 0 2
0 0 2
2 3 1
2 2 3
1 1 1
10 8
1 1 3
3 0 2
2 0 1
1 3 0
2 3 0
0 2 1
3 3 2
3 0 0
2 1 2
2 3 3
10 6
2 1 1
3 3 2
2 2 1
3 2 2
2 3 0
0 3 3
0 1 2
0 1 1
3 1 3
3 1 2
10 3
2 1 0
2 0 1
0 0 2
2 0 2
0 1 2
0 2 1
1 2 2
0 0 1
2 0 0
1 1 1
10 2
3 2 3
0 3 0
0 2 3
2 0 1
3 0 0
2 2 3
0 0 0
0 1 1
1 3 2
0 3 3
10 9
2 2 2
0 0 3
1 2 1
0 0 0
1 3 1
3 0 2
0 2 0
3 3 3
2 0 2
1 2 0
10 2
3 1 3
0 0 1
1 1 3
2 3 2
1 3 0
3 2 0
3 3 3
0 1 0
3 3 0
0 2 2
10 2
0 1 0
1 2 1
1 0 1
0 2 1
1 0 2
1 1 1
2 2 0
1 2 2
2 0 0
1 1 0
10 2
1 1 2
1 1 0
1 0 0
0 2 1
0 0 2
2 1 2
2 0 0
0 0 1
2 1 1
2 2 2
10 4
3 0 3
1 2 3
1 1 1
3 2 0
3 3 3
0 0 1
3 2 3
2 0 1
1 3 2
1 0 0
10 5
0 2 1
0 0 0
2 0 0
2 2 0
2 1 1
1 1 0
1 1 1
0 1 2
1 2 2
0 0 1
10 7
0 1 2
2 2 3
1 1 2
0 3 3
0 0 2
2 3 0
2 0 3
0 1 0
3 3 0
3 2 2
10 3
0 0 2
0 1 1
0 0 0
2 2 0
1 0 0
2 0 0
0 2 0
2 1 0
1 2 1
1 1 2
10 9
1 1 3
2 3 3
0 0 1
3 3 0
1 2 1
0 1 1
3 1 0
0 2 1
3 0 0
2 0 1
10 9
2 1 2
1 2 1
0 2 1
2 0 1
1 3 1
0 1 3
1 0 1
1 3 2
3 0 0
1 1 1
10 7
1 2 1
1 0 0
0 1 0
0 2 2
0 2 0
2 1 2
2 0 1
0 0 0
1 2 2
1 1 0
10 4
0 2 3
2 3 1
3 1 1
2 1 3
0 3 1
3 0 3
2 0 3
1 3 3
2 0 1
1 3 0
10 4
2 3 2
2 1 1
1 3 1
0 0 0
2 0 1
0 2 3
0 1 1
1 2 0
1 0 0
3 2 1
10 7
1 2 1
2 2 3
2 1 3
2 1 2
1 1 0
1 2 0
3 0 1
0 1 2
0 1 0
2 2 0
10 8
0 0 1
2 2 2
2 2 0
0 1 2
2 1 0
1 1 2
1 2 1
2 0 2
1 0 0
0 2 1
10 7
2 3 0
0 2 1
0 3 2
2 0 3
1 1 1
0 1 0
1 0 3
2 1 1
2 3 2
0 1 3
10 6
1 0 1
1 0 2
1 2 0
0 2 0
1 1 2
2 2 2
0 2 1
0 0 2
2 1 1
2 0 0
10 3
2 0 2
0 1 2
0 0 3
2 3 3
1 2 3
2 3 2
1 0 1
2 2 2
1 0 0
1 3 3
10 3
1 1 0
1 1 1
0 2 0
2 0 2
2 2 2
2 1 1
1 1 2
1 2 1
0 1 2
0 0 2
10 7
0 2 1
2 2 1
3 1 2
1 0 3
1 2 3
3 0 1
0 0 3
0 1 0
0 2 0
3 3 3
10 6
0 0 1
1 0 1
2 1 2
2 2 2
1 1 1
1 2 2
2 0 0
1 2 0
1 1 0
1 0 0
10 6
2 3 1
2 2 3
0 3 3
1 1 1
3 0 1
3 3 1
1 0 2
0 2 0
1 2 0
2 2 2
10 3
3 0 3
2 0 3
1 3 3
1 0 2
1 2 2
3 0 1
3 2 3
0 0 3
1 3 0
2 2 3
10 3
2 2 2
1 2 2
0 2 1
0 0 2
1 1 2
0 0 0
1 0 0
1 1 1
1 2 0
2 1 0
10 3
0 3 2
3 0 0
1 0 3
1 3 0
2 1 2
3 0 1
2 0 3
1 0 0
3 2 2
1 1 2
10 4
0 1 0
0 0 0
0 2 0
2 2 0
2 1 0
1 2 0
1 0 0
0 0 1
0 1 1
1 2 1
10 8
2 1 2
1 0 0
0 0 1
0 1 0
2 2 2
2 0 2
2 1 1
0 1 1
1 0 2
2 1 0
10 3
0 2 3
0 1 2
0 1 1
1 2 0
2 0 1
3 3 2
0 2 0
3 2 3
1 1 0
0 2 2
10 8
2 2 2
1 0 0
2 2 0
0 2 2
2 1 1
2 0 0
0 0 1
1 1 0
1 0 1
0 2 0
10 8
2 2 2
1 2 1
1 0 0
2 2 0
1 1 2
2 0 1
1 1 1
0 0 1
0 1 1
1 2 0
10 9
0 1 2
1 0 2
2 2 0
0 0 2
1 0 1
2 0 0
1 1 1
1 1 2
2 2 1
0 2 2
10 6
1 1 3
0 1 3
1 2 2
3 1 3
0 3 3
1 1 0
2 0 1
0 2 2
0 1 2
2 2 1
10 2
0 0 2
0 1 2
2 1 1
0 1 0
2 0 2
2 0 0
1 2 2
0 2 2
1 1 1
2 1 2
10 5
1 0 1
0 2 0
0 0 2
2 2 2
1 2 0
0 0 0
0 1 2
2 2 0
0 2 1
1 0 0
10 4
1 0 1
0 1 0
2 1 2
2 0 1
2 1 0
1 1 1
1 2 2
2 0 2
0 0 2
2 2 1
10 2
2 0 1
0 0 0
0 0 2
1 2 2
0 2 0
2 0 0
0 2 1
1 0 2
0 1 2
0 0 1
10 6
2 1 1
0 1 1
1 1 1
0 1 2
0 1 0
1 1 2
2 0 1
2 2 2
1 2 2
2 2 1
10 4
1 0 0
2 0 1
1 2 2
1 1 2
2 2 2
1 0 1
0 1 1
0 2 1
2 2 1
0 2 2
10 3
0 0 2
1 2 2
1 1 0
0 2 1
1 2 0
0 0 1
2 0 1
2 2 2
2 1 2
2 2 0
10 7
1 3 2
3 2 2
0 2 2
3 0 0
2 0 1
1 3 1
0 0 3
1 1 0
1 0 2
1 0 0
10 7
0 1 1
1 2 2
0 0 1
1 0 2
1 1 1
0 0 2
2 0 1
1 1 2
2 1 1
1 2 0
10 4
0 3 3
3 3 3
2 0 2
0 0 0
2 1 3
3 2 2
2 2 1
2 2 0
3 3 2
0 3 2
10 7
3 1 3
1 3 1
2 3 1
0 0 1
1 3 0
2 1 3
2 2 3
1 1 2
0 3 0
3 0 1
10 4
0 2 2
1 1 0
2 0 1
2 0 2
0 0 1
2 1 1
1 1 1
2 2 1
1 2 1
0 0 0
10 4
0 0 0
0 2 0
0 1 2
1 2 0
1 2 2
2 0 2
2 2 2
2 0 0
1 2 1
2 2 0
10 3
0 1 1
2 3 1
1 3 3
2 2 1
3 3 0
0 1 3
3 3 2
0 0 3
0 0 2
3 0 0
10 5
0 0 0
1 1 1
1 0 1
1 2 1
1 0 0
1 1 2
2 2 2
0 2 1
0 1 1
2 2 0
10 4
2 1 3
0 0 1
3 1 0
0 0 3
3 1 3
3 0 0
3 2 2
3 3 2
0 0 2
1 0 0
10 7
0 1 0
2 2 0
1 2 1
0 0 2
0 2 1
1 1 0
0 2 0
1 0 2
0 2 2
1 0 1
10 9
2 1 2
0 2 2
1 0 1
2 0 0
0 0 1
0 1 1
2 0 2
1 0 0
0 1 0
1 1 0
10 3
2 1 2
1 0 2
2 0 2
2 0 1
0 2 0
2 1 1
1 0 0
1 1 1
2 2 1
2 2 2
10 8
1 1 1
2 0 0
1 2 1
1 0 0
0 0 2
0 1 2
2 2 1
1 1 2
0 1 0
1 0 2
10 4
3 3 2
3 1 2
0 2 0
1 2 3
0 1 0
1 0 1
0 2 1
3 3 0
0 0 3
0 1 2
10 6
0 1 0
1 1 0
2 2 1
1 1 2
0 2 1
1 0 2
2 1 2
2 1 0
2 0 2
2 1 1
10 8
0 3 0
3 1 3
1 3 2
0 3 3
0 0 2
1 3 0
0 0 1
2 3 0
2 2 1
1 1 1
10 2
0 1 0
0 2 1
2 0 1
2 2 1
1 0 0
2 1 1
1 1 2
2 2 2
1 2 2
0 0 2
10 4
2 2 2
2 0 2
0 2 0
1 0 1
2 0 1
1 1 1
1 0 0
0 1 2
2 1 2
0 0 0
10 5
1 3 1
3 1 3
3 1 0
1 0 2
3 0 0
2 3 0
3 0 2
1 3 3
0 3 0
3 3 0
10 6
2 0 2
1 1 2
0 1 2
2 2 1
1 0 1
2 0 1
0 2 1
0 2 0
1 2 0
2 1 2
10 2
2 1 2
0 0 2
2 2 2
2 1 1
1 0 0
0 2 0
2 0 1
0 1 0
2 1 0
2 2 0
10 4
2 3 1
2 2 0
2 0 1
1 2 2
3 3 1
1 3 3
3 1 0
2 3 3
0 0 0
0 2 1
10 4
2 0 1
0 0 3
3 0 2
3 0 0
0 1 1
1 2 2
2 0 3
2 0 0
2 1 1
0 0 1
10 5
0 1 2
0 1 3
1 2 2
3 0 2
3 0 3
3 3 2
3 2 0
2 1 1
2 0 1
0 3 2
10 8
0 3 2
2 3 2
3 3 0
1 0 2
0 1 1
1 3 1
3 3 2
1 2 0
0 1 0
3 2 2
10 4
1 1 1
2 1 1
0 0 2
2 1 2
1 0 2
1 2 2
0 0 0
0 1 0
1 2 0
2 2 2
10 5
3 1 1
1 3 0
2 2 1
1 2 3
0 0 1
1 2 2
2 3 2
3 1 3
0 2 2
2 2 3
10 2
0 2 2
0 0 2
1 0 0
1 0 2
1 1 2
1 2 1
2 1 1
0 0 0
2 2 0
1 1 0
10 5
2 0 2
0 1 2
2 2 3
2 1 3
3 2 1
2 3 2
1 0 1
1 3 1
2 0 3
0 2 2
10 8
2 0 0
2 3 2
3 1 3
2 1 2
0 1 0
1 2 1
0 2 1
1 1 3
0 0 2
1 0 2
10 3
1 0 1
1 3 2
3 0 2
2 0 2
2 3 2
2 1 3
1 2 2
2 0 0
0 3 1
1 3 3
10 4
2 2 2
0 2 2
0 1 1
2 1 2
1 1 1
2 1 1
2 2 1
1 2 2
1 0 0
0 1 2
10 9
1 2 0
2 0 1
0 0 2
1 3 2
2 0 2
0 1 3
3 1 3
3 2 0
1 2 2
2 0 3
10 5
1 1 3
0 0 0
0 3 1
0 2 0
1 3 2
2 2 2
1 3 1
2 3 1
3 1 3
1 2 2
10 8
3 1 2
2 1 3
0 2 1
0 2 2
2 1 2
1 2 0
1 0 3
1 1 1
0 1 3
2 0 2
10 2
2 0 0
2 0 1
0 2 1
0 2 2
2 1 0
2 2 1
2 1 2
0 0 1
1 1 2
2 2 2
10 6
2 0 0
0 3 1
3 3 3
3 0 1
2 2 0
2 0 1
3 3 2
1 2 3
2 3 2
1 3 3
10 4
0 0 1
0 1 3
0 2 1
2 3 2
1 2 1
1 0 1
1 2 2
0 1 2
0 0 0
1 3 3
10 2
3 3 3
0 3 2
1 3 2
2 2 0
3 0 2
0 3 0
2 0 2
2 0 1
2 3 0
2 2 2
10 3
2 2 2
1 3 3
0 3 0
3 3 3
2 3 1
2 2 1
1 2 2
0 1 0
3 2 2
0 3 2
10 4
0 3 1
3 0 1
0 1 3
2 2 3
3 2 1
0 3 2
3 2 0
1 2 2
0 1 1
1 0 0
10 9
1 1 1
2 1 0
0 2 0
2 0 2
1 0 1
0 2 2
0 1 1
2 2 1
1 0 0
2 2 2
10 9
1 0 2
2 1 0
2 0 0
1 1 0
2 0 1
0 1 0
0 0 2
1 0 1
1 2 1
0 0 1
10 8
0 1 1
1 1 2
1 1 0
0 0 1
0 2 0
1 0 2
2 0 0
2 1 1
2 0 2
2 1 2
10 9
1 2 1
1 3 3
0 3 2
0 0 3
3 2 1
2 1 0
1 1 2
2 1 1
0 1 2
1 0 3
10 6
1 0 1
1 1 0
2 0 1
1 2 0
2 1 0
2 2 2
2 2 1
2 0 0
0 2 1
0 0 1
10 5
1 1 1
1 2 0
2 1 3
1 0 2
2 3 3
0 1 1
2 0 3
3 3 1
3 0 2
1 1 0
10 4
1 1 2
1 0 2
0 1 1
2 2 2
1 0 0
2 1 1
2 0 1
0 2 0
1 2 0
0 2 2
10 3
1 1 1
2 2 2
0 2 1
0 0 0
2 1 2
1 0 1
2 0 0
0 1 0
0 1 2
2 1 0
10 2
2 3 1
2 1 0
2 0 0
3 3 3
2 1 2
3 2 1
0 1 2
0 3 1
3 3 0
3 1 2
10 5
3 3 0
0 3 1
3 2 2
2 1 0
3 3 2
0 1 3
2 3 3
2 2 3
0 2 2
1 0 2
10 5
1 1 3
0 3 0
2 0 3
2 3 2
3 0 2
3 1 0
0 0 2
2 3 3
3 3 0
0 2 0
10 9
2 1 0
0 0 1
0 2 0
1 2 0
2 1 1
0 2 2
2 0 1
0 0 2
2 2 2
0 1 1
10 8
0 1 2
2 0 2
2 0 0
2 1 0
2 1 1
1 2 2
0 0 1
2 2 2
1 0 0
1 1 1
10 6
0 0 1
0 0 2
0 1 2
2 0 2
2 2 0
2 1 1
2 1 2
1 2 0
1 0 0
0 2 1
10 4
2 1 0
0 0 0
1 1 1
0 1 0
2 0 2
2 0 0
1 0 2
2 1 1
1 0 1
0 1 2
10 6
0 2 2
2 2 0
0 2 0
1 1 2
2 2 2
0 0 2
0 1 1
1 0 2
1 1 0
2 0 2
10 6
2 2 0
3 0 0
0 3 1
1 0 0
0 0 3
1 1 1
0 0 0
3 2 0
1 2 3
0 2 2
10 5
1 1 3
1 1 1
1 0 3
3 3 0
3 2 2
1 2 3
2 0 3
1 3 0
3 1 2
3 1 3
10 9
1 0 2
0 2 0
2 0 2
2 0 1
2 1 0
1 2 1
0 0 2
0 0 0
0 2 2
0 1 1
10 4
2 2 1
0 1 0
1 0 3
3 2 3
0 3 2
3 1 3
2 0 0
0 2 3
0 0 1
3 3 3
10 5
2 0 1
0 2 1
1 1 1
2 1 0
0 0 1
1 2 1
2 0 2
0 2 2
0 1 1
1 2 2
10 9
0 0 0
0 1 2
1 1 2
2 0 1
1 1 1
0 2 1
0 2 2
1 0 2
2 0 0
0 1 0
10 5
2 1 0
2 1 3
2 2 1
3 0 0
3 0 3
2 2 3
2 3 2
0 1 3
3 1 1
1 3 1
10 5
0 0 0
0 1 1
0 2 1
1 0 0
1 1 0
2 2 1
2 0 1
0 2 0
2 2 0
2 1 0
10 2
1 1 2
2 2 0
0 1 1
2 1 1
1 2 1
0 2 2
1 2 2
0 1 2
0 0 1
0 2 0
10 4
1 0 1
2 2 2
0 2 0
2 0 0
0 1 0
0 1 2
0 1 1
1 1 1
0 0 1
1 1 0
10 4
0 3 3
0 1 1
1 3 3
1 2 1
2 1 1
3 2 2
0 2 1
2 2 0
1 0 2
3 3 2
10 7
2 2 0
0 0 2
0 2 0
1 0 1
2 1 1
1 2 0
1 2 2
2 0 0
1 1 0
1 0 0
10 5
3 0 0
1 1 3
1 3 3
3 1 2
2 1 2
3 3 3
2 2 0
2 1 0
2 0 2
2 3 3
10 4
1 2 2
2 2 1
0 1 0
2 1 0
2 0 1
2 2 0
0 2 0
0 2 1
2 2 2
1 0 0
10 3
2 0 1
0 1 2
2 2 1
2 0 2
2 1 1
1 0 2
1 2 1
2 1 0
2 2 2
1 0 1
10 2
0 3 0
1 3 0
2 0 3
3 1 1
2 0 1
1 1 0
2 2 3
0 0 2
3 2 3
0 1 2
10 5
0 0 2
3 3 2
3 2 2
1 1 3
0 0 1
1 3 0
2 2 3
0 1 3
1 1 0
0 0 3
10 2
0 2 2
0 0 1
2 0 0
2 1 1
0 1 1
0 2 1
1 2 0
1 0 2
1 2 2
0 1 2
10 7
1 0 0
2 2 1
2 1 0
0 0 0
0 2 2
0 0 1
2 0 2
2 0 1
2 1 2
0 1 1
10 7
1 0 0
2 1 0
3 2 1
2 3 2
3 0 2
1 3 0
0 0 2
2 2 2
3 3 1
0 3 3
10 6
0 1 2
2 0 0
2 3 0
2 2 0
3 3 2
3 1 2
3 1 1
2 1 2
1 2 3
3 2 0
10 5
1 1 1
2 0 2
2 2 0
0 1 0
0 1 2
0 0 1
0 2 0
1 0 2
1 2 0
2 0 0
10 9
2 1 2
1 0 3
0 3 1
1 2 1
3 2 0
2 1 3
2 0 2
3 3 0
3 1 3
3 2 3
10 9
3 1 1
1 3 0
2 2 3
3 1 2
0 1 1
3 2 0
2 3 2
2 2 1
1 1 0
3 3 1
10 9
1 1 1
1 0 0
1 2 0
2 1 0
1 0 1
1 0 2
0 0 1
0 0 0
2 0 2
1 1 2
10 4
0 2 2
1 1 2
2 0 1
2 1 1
1 1 0
1 1 1
0 2 1
1 0 0
0 1 0
2 2 2
10 3
1 0 2
0 2 2
0 0 2
2 0 0
0 2 0
1 2 1
0 1 2
1 1 1
2 2 1
0 2 1
10 5
1 1 0
0 2 2
2 0 1
2 1 2
0 0 0
0 1 2
0 1 1
2 2 2
2 1 0
0 2 0
10 3
1 3 3
2 3 1
0 2 0
0 2 3
1 1 1
2 0 1
0 0 1
3 3 1
2 3 0
1 0 1
10 7
0 0 3
2 0 0
2 0 3
0 2 0
2 3 3
2 2 0
0 3 0
1 1 1
2 1 1
1 1 3
10 9
0 2 1
2 2 1
3 1 2
3 0 0
2 0 2
1 2 2
0 2 0
1 2 0
2 3 1
2 3 3
10 9
3 0 3
3 2 0
1 0 3
3 0 0
0 0 1
0 1 2
1 1 3
1 2 3
3 3 3
2 3 1
10 3
3 3 0
0 0 0
1 3 1
2 1 0
3 0 3
0 1 1
1 3 0
3 1 1
1 0 2
2 1 1
10 4
1 0 2
2 0 2
0 2 0
1 1 0
0 1 1
0 0 0
2 2 0
1 0 1
2 1 0
2 2 1
10 8
1 2 0
1 0 2
2 0 1
2 2 2
0 2 1
2 1 2
0 2 0
0 0 0
0 1 1
1 1 0
10 6
2 3 0
0 1 2
0 2 0
0 2 1
3 0 1
3 1 2
3 3 1
0 3 2
3 3 3
0 2 2
10 2
3 1 0
2 0 3
0 3 1
0 0 2
1 1 3
1 1 0
1 0 3
1 0 0
3 1 2
1 2 1
10 5
1 0 0
2 2 2
0 0 2
0 2 0
0 1 1
1 2 1
2 1 0
1 1 2
1 1 1
2 1 2
10 9
0 0 0
1 1 0
0 1 0
2 3 0
0 3 2
0 0 2
2 0 3
2 0 0
2 3 2
0 1 2
10 6
0 1 0
0 1 1
1 2 0
2 2 1
2 1 2
0 2 2
2 0 0
1 2 2
0 0 1
0 0 0
10 8
2 0 2
0 2 2
2 2 1
1 2 2
1 0 2
0 1 0
1 1 0
2 0 1
0 1 1
2 1 2
10 9
0 0 2
0 0 0
3 3 2
1 3 0
2 2 2
1 3 2
0 1 0
0 2 2
0 3 1
1 2 0
10 6
2 0 0
1 2 2
0 2 0
1 0 2
1 0 1
2 2 0
0 0 2
1 0 0
0 2 2
2 2 2
10 4
2 0 0
2 0 3
3 3 0
2 0 2
1 0 0
0 3 1
0 2 2
0 2 0
1 2 2
1 3 0
10 4
1 0 1
1 0 3
0 2 1
0 0 3
3 3 2
3 3 1
2 0 3
2 0 0
2 3 0
3 0 3
10 8
2 1 0
0 0 0
2 2 1
0 1 0
0 2 2
2 0 1
1 1 2
1 0 2
1 2 1
2 1 1
10 3
1 2 1
0 2 0
2 2 2
0 1 1
1 1 0
2 1 2
2 1 0
1 2 2
1 2 0
2 2 1
10 3
2 2 2
2 2 1
1 0 2
0 1 2
2 1 2
1 0 0
0 0 2
1 1 0
1 0 1
1 1 2
10 4
0 0 2
0 2 0
1 2 2
3 0 3
3 0 2
3 1 1
1 3 2
2 2 1
1 2 3
3 2 3
10 4
2 2 2
3 1 1
2 3 3
1 0 0
2 0 3
3 1 2
3 3 1
1 0 2
1 2 0
0 3 1
10 7
0 2 0
2 1 2
2 0 1
1 2 2
2 2 1
1 1 1
1 0 2
2 2 0
2 1 0
2 0 2
10 7
2 1 0
0 2 1
2 2 1
2 1 2
1 0 2
0 1 0
1 3 0
2 0 3
1 2 3
0 2 2
10 2
2 0 2
0 2 0
2 0 0
2 2 2
2 1 2
2 1 0
0 1 1
0 0 1
0 1 2
1 1 1
10 4
0 0 0
1 0 3
1 0 2
2 3 1
2 1 2
3 2 1
3 3 1
1 1 0
1 3 1
0 0 3
10 8
0 1 1
1 0 0
3 3 3
1 2 2
3 1 3
0 2 3
2 0 1
3 3 2
1 2 1
3 2 0
10 4
1 0 0
2 1 0
1 1 0
0 0 0
1 0 1
2 0 0
2 2 0
1 2 2
0 2 0
2 0 2
10 4
1 0 0
2 1 1
2 0 0
0 2 2
1 2 0
1 1 1
1 2 1
1 2 2
2 1 0
0 2 0
10 5
1 1 2
0 1 1
1 0 0
1 0 2
2 0 0
2 1 1
1 2 2
1 1 0
0 2 0
2 1 0
10 9
1 3 2
3 2 3
3 1 0
1 3 0
2 0 2
2 3 3
2 2 2
3 1 2
2 0 3
0 2 3
10 4
2 1 2
0 0 2
1 2 2
0 0 0
2 2 1
1 0 0
0 2 1
0 0 1
1 2 0
2 1 1
10 7
2 1 0
3 2 1
0 0 3
1 2 1
1 1 2
0 2 0
2 1 1
0 2 1
0 3 1
3 3 3
10 6
2 2 0
1 2 2
2 1 0
1 0 0
2 1 1
1 2 1
0 2 1
2 0 0
0 1 2
2 0 1
10 9
2 3 2
3 0 1
1 2 3
0 3 3
3 1 1
3 2 3
1 0 1
2 1 0
1 1 1
3 0 0
10 7
0 1 0
3 1 1
2 3 0
1 1 3
1 2 1
1 1 1
0 2 0
0 0 2
2 0 2
2 3 3
10 8
3 2 3
2 0 2
0 0 0
2 2 0
0 0 2
0 1 2
3 1 1
0 0 1
3 0 2
3 3 1
10 3
1 3 2
2 1 1
1 2 2
2 3 1
1 3 3
0 1 2
0 2 2
2 2 3
3 3 0
1 2 0
10 3
0 3 0
3 2 2
0 0 3
1 2 3
3 1 3
2 3 1
0 1 0
3 3 0
1 3 0
2 3 2
10 9
2 1 1
1 0 2
1 2 0
2 2 2
0 1 1
0 2 0
2 1 0
1 1 1
1 1 2
1 0 1
10 7
3 3 1
3 0 3
0 2 1
2 1 0
2 0 3
2 0 1
0 1 3
1 3 1
1 1 1
3 1 1
10 6
2 2 0
1 2 2
0 1 0
1 0 1
1 1 1
0 0 2
1 1 2
0 2 0
2 2 2
1 0 2
10 8
1 2 2
0 1 0
1 0 0
1 2 0
1 1 1
0 2 0
0 1 1
2 0 0
2 1 1
0 2 1
10 4
0 0 2
0 2 2
2 1 1
0 2 1
0 1 1
0 2 0
1 2 2
1 0 1
0 1 0
2 1 2
10 3
1 2 3
3 1 3
2 0 3
3 2 3
0 1 1
1 3 3
1 3 0
3 1 1
0 3 2
0 0 0
10 6
0 1 1
1 1 2
1 2 1
1 0 1
0 2 2
2 2 1
1 2 2
0 2 0
2 0 0
2 2 0
10 8
1 0 1
1 1 2
2 0 0
2 1 0
1 1 1
2 2 1
0 0 0
1 2 2
2 0 1
0 2 1
10 6
2 2 3
2 1 3
1 3 0
1 1 1
3 0 3
2 0 3
2 2 0
0 3 2
3 3 2
1 3 3
10 7
2 0 0
2 2 2
1 0 2
0 0 2
2 0 2
0 0 1
1 2 1
1 0 0
2 2 1
0 1 2
10 5
3 2 1
3 1 1
3 3 1
2 2 2
0 1 2
1 0 2
3 1 2
2 2 3
3 3 3
1 3 2
10 2
3 3 2
2 0 2
1 2 3
3 1 1
3 0 2
2 1 0
1 3 3
3 0 3
3 1 3
1 3 1
10 2
2 0 0
2 1 0
1 1 1
2 2 2
0 0 0
1 1 0
1 1 2
2 1 1
0 2 2
0 2 1
10 4
3 2 3
2 1 0
2 3 1
3 1 1
2 1 3
0 2 2
0 2 1
1 1 3
0 3 2
1 3 0
10 9
0 3 2
0 0 3
1 1 2
0 0 0
0 2 2
2 0 0
2 2 2
0 3 0
0 2 3
3 2 1
10 5
0 2 2
1 0 2
1 0 0
0 1 0
0 0 1
0 1 1
2 1 2
2 1 0
2 2 0
1 2 0
10 8
3 3 1
3 2 0
1 0 0
1 1 3
1 3 1
2 0 0
3 1 2
0 3 1
1 2 3
2 1 3
10 8
1 2 1
0 1 1
0 1 0
1 2 2
2 2 1
0 0 1
1 1 0
2 1 1
2 1 2
2 0 0
10 3
1 1 2
0 1 3
3 1 2
1 2 2
3 1 3
0 2 2
0 3 3
3 1 0
2 2 2
1 1 1
10 6
3 1 1
2 1 3
2 2 1
2 1 0
3 3 0
3 3 2
3 2 0
1 1 3
1 0 0
0 2 2
10 5
2 1 2
3 1 3
1 1 3
1 2 3
0 1 2
2 0 2
1 0 2
0 3 1
1 0 3
0 1 3
10 2
1 0 3
1 3 0
0 0 0
0 2 3
3 1 1
0 0 2
3 0 1
3 1 0
1 1 1
0 1 0
10 8
0 1 2
0 0 2
0 2 1
0 2 2
1 0 2
1 0 1
2 0 1
1 2 0
1 1 0
2 0 0
10 6
2 0 2
1 1 2
1 2 1
2 0 0
0 1 2
2 1 1
2 1 0
2 2 0
0 2 1
0 2 2
10 2
0 0 1
1 1 2
0 1 2
2 1 2
0 1 1
0 0 2
0 1 0
0 2 2
2 0 0
2 2 1
10 6
0 0 2
1 2 2
2 0 2
0 0 0
1 1 2
0 1 1
1 0 2
1 2 1
0 0 1
1 1 0
10 3
1 3 2
1 1 1
3 1 3
1 3 0
3 0 1
2 1 2
3 1 2
2 0 2
1 3 3
0 3 2
10 3
3 2 1
1 3 3
0 3 2
2 0 1
1 2 3
1 1 3
1 2 0
2 1 3
2 0 3
1 0 2
10 2
2 1 0
0 1 2
0 2 0
1 1 2
0 0 2
1 1 1
1 2 1
2 0 1
1 0 2
0 2 1
10 8
3 1 1
1 1 1
2 0 1
2 0 2
1 0 0
1 0 3
1 3 2
2 3 1
3 0 0
1 2 2
10 9
2 0 3
2 3 0
1 2 0
1 0 2
1 0 0
3 3 3
3 1 2
1 3 3
1 1 0
0 1 0
10 9
2 3 2
0 0 2
2 0 0
2 2 0
2 2 3
3 2 2
1 3 2
1 0 0
0 3 0
1 3 1
10 8
1 0 0
0 1 2
2 0 0
1 2 0
1 0 1
2 0 2
2 2 0
0 0 2
1 1 2
2 2 2
10 7
2 1 2
0 2 3
2 2 3
2 3 0
2 2 1
1 2 1
0 0 1
3 1 2
1 0 2
1 3 3
10 5
0 2 2
1 2 2
2 1 1
1 1 2
0 1 0
0 2 0
2 2 0
1 1 0
1 1 1
2 2 1
10 2
1 0 0
1 0 2
3 0 1
3 1 2
2 0 1
0 2 1
3 3 1
2 1 0
2 1 3
3 2 0
10 4
2 0 0
2 2 2
0 1 1
1 2 2
1 0 1
2 1 1
1 0 2
1 1 0
2 2 0
0 1 0
10 3
1 3 2
0 1 1
0 3 1
3 2 1
0 0 3
1 0 2
2 1 0
0 3 0
3 1 2
0 2 2
10 4
3 1 2
1 2 0
1 0 2
2 3 0
0 2 2
3 3 0
0 1 1
2 1 2
3 2 1
1 3 1
10 6
0 2 0
0 0 2
2 0 0
2 1 1
1 0 2
1 2 0
2 1 2
2 2 2
1 2 1
2 0 1
10 2
0 3 3
1 3 2
3 0 0
3 3 0
2 1 1
3 1 2
3 3 3
3 1 0
1 1 2
3 2 3
10 5
2 2 1
3 2 0
0 0 0
1 0 2
1 0 1
1 1 0
0 3 3
3 0 3
0 1 0
0 3 1
10 8
2 1 1
1 0 2
1 1 2
2 2 0
2 2 1
1 2 2
2 2 2
2 1 2
0 0 0
0 2 0
10 2
2 1 0
1 3 1
0 1 3
1 0 3
1 2 1
3 2 1
2 0 3
1 1 0
1 0 0
1 3 3
10 8
0 1 3
3 3 2
3 1 2
1 3 2
1 1 0
1 1 2
0 3 0
2 3 3
3 1 1
1 3 3
10 5
0 0 1
1 0 0
2 1 2
2 0 0
2 2 2
2 2 0
1 1 2
0 2 1
1 1 0
1 2 0
10 3
3 2 3
3 0 1
0 3 2
1 0 0
0 2 2
2 2 0
2 2 2
3 3 0
0 0 2
1 0 3
10 2
0 2 0
3 1 0
1 3 0
3 1 2
1 0 3
3 2 1
0 0 0
3 0 3
1 0 1
2 2 1
10 7
3 1 0
0 2 0
3 1 2
3 2 1
1 2 3
1 3 3
3 0 0
2 3 2
1 2 0
3 3 3
10 8
0 1 1
0 1 2
1 1 2
2 2 2
0 2 2
2 0 2
2 0 1
0 0 0
0 2 1
0 1 0
10 4
0 0 1
2 2 1
1 1 3
3 2 0
0 0 3
3 0 1
3 3 0
0 3 0
1 1 0
1 0 1
10 5
1 2 0
0 0 2
1 1 1
1 1 0
0 2 1
0 1 1
0 1 0
2 1 1
0 0 0
1 2 2
10 5
1 3 0
1 0 2
0 3 0
3 3 0
3 0 2
0 1 3
1 2 2
2 0 3
1 0 0
1 0 1
10 3
1 2 1
1 3 0
0 2 1
1 3 2
3 1 3
0 1 1
0 3 3
2 0 2
3 1 2
1 1 2
10 2
0 1 1
1 2 1
0 2 2
0 0 1
1 0 1
2 0 0
0 0 2
2 1 1
2 1 2
1 0 0
10 2
1 1 2
0 2 2
2 1 2
2 0 0
2 2 2
0 0 2
1 0 0
0 2 0
0 1 1
1 2 0
10 3
1 0 0
1 0 3
1 3 1
3 0 2
3 0 3
2 0 2
2 3 0
2 1 3
0 1 1
0 0 2
10 5
0 3 2
0 2 3
2 3 0
0 2 1
3 1 0
2 0 0
1 3 2
3 1 2
2 3 1
2 1 2
10 9
0 2 2
0 2 1
1 0 0
2 1 2
1 2 1
0 0 2
1 0 1
0 1 1
1 1 1
2 2 1
10 7
0 1 0
0 0 0
0 2 1
1 0 2
0 0 1
0 2 0
2 0 2
1 2 1
2 2 0
2 0 0
10 7
0 0 0
0 2 1
0 1 2
1 2 2
2 2 0
2 1 1
2 2 2
1 1 2
2 1 2
2 0 1
10 8
0 2 2
1 0 1
0 3 2
2 3 3
1 1 3
0 3 3
3 0 1
1 2 2
1 3 2
1 3 0
10 3
1 2 2
2 2 3
2 1 3
2 1 2
2 0 1
2 2 1
0 1 2
0 1 0
3 3 2
2 1 1
10 7
0 2 1
1 2 1
0 0 0
2 2 2
2 1 2
0 1 1
0 0 2
2 0 2
1 2 2
1 1 2
10 3
1 2 1
2 1 1
0 0 2
1 0 0
1 0 2
1 2 0
1 1 2
0 2 2
0 2 1
0 1 0
10 9
2 3 2
3 3 1
2 2 1
1 0 0
2 3 1
0 2 2
1 2 2
2 3 3
1 0 2
0 1 1
10 3
2 0 0
1 1 0
0 0 2
1 0 0
2 2 0
0 0 0
1 2 0
1 2 1
2 2 2
0 2 0
10 8
1 2 0
1 0 0
3 0 1
0 0 1
2 2 3
2 2 0
3 1 0
3 1 3
0 2 3
2 3 1
10 8
2 0 2
0 1 2
1 2 1
2 1 0
1 1 2
0 1 0
2 1 1
0 2 0
1 1 0
1 0 2
10 8
1 0 2
3 1 2
1 0 3
0 1 1
0 2 2
2 0 2
1 1 0
2 2 1
1 2 0
2 3 2
10 2
0 1 2
2 0 1
0 0 1
1 2 1
2 1 1
0 2 2
1 1 0
0 2 1
2 1 0
0 2 0
10 6
0 0 3
1 1 1
1 3 1
2 1 1
1 0 3
1 3 0
3 2 1
0 3 0
1 1 2
2 2 0
10 7
2 1 3
1 0 2
3 3 0
2 2 0
3 1 2
1 1 3
0 2 0
2 2 2
1 3 3
0 3 3
10 5
1 0 3
0 1 3
1 1 0
0 3 3
0 2 3
0 0 3
3 1 3
0 0 0
1 3 2
3 3 3
10 6
0 2 1
2 1 2
0 2 0
2 0 0
1 2 2
1 1 0
0 0 0
1 2 0
0 1 0
2 1 0
10 6
0 0 1
1 2 1
2 3 2
2 0 3
3 1 1
0 1 1
1 0 1
1 1 3
2 0 2
1 3 2
10 9
3 3 1
1 0 0
2 1 3
3 3 3
3 0 1
3 1 2
2 0 3
1 3 0
1 3 3
1 2 2
10 6
1 2 1
0 0 2
1 3 1
1 3 2
2 0 3
3 1 2
1 2 2
1 2 3
0 2 1
1 3 0
10 2
1 2 2
1 2 3
2 0 3
1 0 1
1 3 3
3 3 0
1 1 2
3 0 0
3 1 2
1 2 0
10 7
3 2 2
2 3 1
3 2 1
3 3 1
0 0 2
1 0 1
0 2 2
2 1 1
3 1 2
2 0 1
10 5
2 3 1
0 0 2
3 0 2
0 3 0
1 3 2
1 3 0
3 2 1
3 2 0
2 1 1
1 1 3
10 9
0 2 1
1 0 2
1 0 1
0 2 0
0 0 1
2 2 1
0 1 2
0 1 0
1 1 0
2 1 1
10 5
2 0 2
1 0 2
1 2 1
0 1 0
0 1 1
1 0 1
2 0 1
0 2 0
2 2 1
0 0 2
10 3
2 2 3
3 2 2
3 1 0
3 3 1
3 1 2
1 3 1
1 0 3
0 2 2
0 1 0
0 2 0
10 5
0 1 0
3 0 3
2 3 1
0 0 0
0 1 1
2 2 3
0 2 2
1 1 3
1 0 1
1 3 2
10 5
3 1 3
2 0 2
3 1 1
0 0 0
0 2 1
2 2 2
2 1 1
1 1 1
1 3 2
0 3 1
10 3
0 1 0
2 0 1
1 0 2
2 1 2
0 2 1
0 0 2
1 2 2
1 2 1
2 0 0
0 0 0
10 2
0 0 0
0 3 0
0 2 1
3 1 0
0 2 3
3 3 3
1 1 2
0 3 1
0 1 0
1 3 2
10 7
2 1 2
0 0 1
0 0 2
0 2 2
1 0 0
1 1 0
0 1 1
2 0 1
1 0 2
1 2 0
10 3
1 0 0
0 0 0
0 1 0
2 0 1
2 1 2
1 0 1
2 1 1
0 2 1
2 2 1
1 1 2
10 3
2 0 1
2 2 3
1 1 1
3 1 3
3 0 1
2 0 3
0 1 1
1 3 2
2 1 2
0 2 2
10 6
0 1 0
3 3 1
3 3 2
3 0 2
2 1 3
0 2 3
2 2 1
3 1 1
1 2 0
1 1 0
10 2
0 2 2
2 2 1
0 0 2
0 1 2
1 1 1
1 2 2
0 2 1
0 2 0
1 1 2
1 0 0
10 8
0 0 0
2 2 0
1 0 2
1 2 1
0 0 1
0 2 1
0 2 2
1 1 2
1 0 0
1 1 0
10 2
3 3 3
2 2 2
3 2 3
1 0 3
1 3 2
0 1 0
0 2 0
0 1 3
1 1 1
3 1 1
10 6
1 1 1
0 1 2
1 2 0
0 2 2
2 2 1
0 1 0
0 2 0
1 0 0
2 1 1
2 0 2
10 7
2 0 0
2 2 2
1 2 1
1 0 1
2 0 1
2 2 1
1 2 2
0 0 2
2 2 0
1 1 0
10 3
1 2 0
0 2 2
3 2 0
2 0 1
2 3 2
2 3 0
3 0 3
1 1 2
1 3 2
2 1 2
10 8
0 2 0
3 2 3
3 1 2
3 3 1
2 3 0
2 3 3
0 2 2
1 2 2
0 1 0
1 0 0
10 8
1 3 0
0 2 3
1 1 0
2 1 0
3 1 3
1 0 0
2 2 2
0 1 1
2 2 3
2 3 1
10 5
3 3 3
2 2 0
1 3 2
3 3 1
3 1 0
1 2 0
3 3 2
1 2 1
3 0 1
3 1 1
10 9
1 2 2
0 1 1
1 1 1
1 1 0
0 0 1
2 0 2
2 2 1
0 1 2
1 2 1
1 0 1
10 2
2 2 2
1 0 0
1 1 1
1 2 0
1 1 2
0 0 0
0 2 2
2 1 2
0 1 1
1 0 1
10 7
3 2 3
3 3 1
0 0 2
2 3 2
2 1 3
1 3 0
1 0 1
1 2 0
0 2 1
0 3 1
10 9
1 1 2
1 0 2
1 3 2
3 0 3
2 0 2
3 1 2
0 0 2
3 1 3
3 1 0
3 2 1
10 4
0 1 0
2 0 1
1 1 2
2 2 1
0 0 0
0 2 1
0 0 2
2 1 0
2 2 2
1 0 2
10 3
2 0 2
2 3 3
1 2 3
1 3 0
3 0 3
2 3 0
2 1 1
1 1 0
1 2 0
0 2 1
10 3
2 1 0
0 0 0
2 0 2
2 1 2
2 2 1
2 0 0
2 1 1
1 2 0
1 0 0
2 0 1
10 6
1 3 3
0 1 2
3 1 2
0 0 3
0 1 1
3 2 3
2 2 1
3 0 2
0 0 0
3 1 1
10 8
0 1 0
0 0 0
1 2 0
2 0 2
1 0 2
2 2 2
0 0 2
1 0 1
2 2 0
0 2 1
10 7
1 1 1
1 2 2
0 2 0
2 1 0
1 1 2
1 0 0
2 2 0
0 2 1
2 1 1
1 0 1
10 6
1 0 2
1 1 0
1 2 0
0 2 0
0 1 1
2 1 0
0 2 2
0 2 1
0 1 2
0 0 1
10 4
2 1 2
0 2 1
0 0 2
0 0 1
1 1 0
1 0 0
0 1 0
2 1 1
2 1 0
2 2 2
10 5
0 0 1
0 2 3
3 1 3
2 3 3
2 2 2
2 2 3
2 1 3
0 3 1
1 1 2
3 0 3
10 7
1 0 2
1 3 0
2 1 3
1 2 2
2 0 1
3 2 1
2 3 0
1 0 3
0 3 0
3 2 2
10 4
1 1 0
1 1 2
1 2 2
2 1 0
1 0 2
0 1 2
0 2 1
0 0 1
1 2 1
1 2 0
10 5
3 2 3
0 0 1
3 3 1
0 0 3
1 2 2
0 1 2
0 2 0
2 2 1
0 2 2
1 1 2
10 7
2 0 2
1 1 2
1 2 1
2 2 1
1 2 0
2 1 1
0 1 2
2 2 0
1 1 1
2 1 2
10 5
1 2 0
0 2 0
1 1 1
0 2 2
1 1 0
2 0 2
1 0 1
2 2 0
0 1 1
0 0 1
10 8
1 0 1
0 0 0
1 0 0
0 1 0
1 1 1
2 0 2
1 2 0
0 0 1
1 0 2
1 2 1
10 3
2 2 0
0 3 2
2 2 3
2 0 3
2 3 0
1 0 1
3 2 1
3 1 3
2 1 0
2 0 2
10 2
2 1 1
1 1 2
0 1 2
2 0 0
1 0 1
0 2 0
2 1 0
1 0 0
2 1 2
0 0 1
10 2
0 0 0
1 2 0
0 1 0
1 1 1
0 2 2
0 1 2
2 0 2
1 2 1
2 2 1
0 2 1
10 8
0 0 1
1 0 1
0 1 2
2 0 0
0 0 0
0 2 2
2 0 2
1 1 1
2 2 0
2 1 2
10 8
0 0 0
0 1 2
2 1 0
2 2 2
1 2 0
0 1 0
1 2 1
2 2 0
1 0 2
0 2 0
10 9
0 1 2
1 1 0
1 0 2
0 0 2
2 2 0
2 0 1
0 1 1
0 1 0
0 2 2
0 2 0
10 2
1 2 0
2 2 1
2 0 2
1 2 2
0 2 2
2 1 0
0 0 2
1 0 2
0 2 1
0 0 1
10 8
2 2 0
0 0 1
0 2 1
2 0 1
0 1 1
1 2 2
1 0 0
1 1 2
0 2 2
0 0 0
10 6
1 1 3
0 3 1
2 3 2
0 2 0
2 2 0
3 3 2
2 3 1
3 0 2
1 3 2
0 3 0
10 2
0 2 1
0 2 2
1 2 0
1 2 1
0 1 1
1 0 2
1 1 0
1 2 2
0 0 2
1 0 0
10 6
2 0 1
2 1 1
0 2 1
1 1 2
1 0 2
0 1 2
0 2 2
0 0 0
0 0 2
1 2 0
10 8
1 2 1
0 0 2
2 0 0
2 0 2
1 0 1
0 1 0
0 2 0
1 2 2
2 2 1
1 0 2
10 9
3 3 3
3 2 1
0 1 2
1 1 2
2 1 0
0 2 2
1 2 0
1 3 1
0 2 1
1 1 1
10 3
2 3 3
1 2 2
3 2 0
0 0 0
1 2 0
1 2 3
0 3 0
1 0 0
1 3 2
3 3 0
10 9
1 2 1
0 2 0
0 1 0
1 2 0
1 0 2
1 0 1
2 2 2
0 1 1
0 2 2
1 1 1
10 4
2 1 3
2 0 1
3 3 1
2 2 3
0 2 1
2 3 3
3 0 0
3 1 2
3 0 1
0 0 3
10 2
1 2 1
0 2 1
0 1 1
2 0 1
2 0 0
2 1 1
1 1 2
2 0 2
1 2 0
0 2 2
10 3
3 1 1
3 0 0
0 3 2
0 3 0
0 2 3
3 1 0
3 2 0
3 3 0
1 3 1
3 3 1
10 8
0 2 0
0 0 0
2 1 1
2 0 0
1 2 0
2 0 1
1 2 2
0 1 2
1 1 1
1 0 0
10 3
0 2 1
1 1 2
1 2 1
0 1 0
0 0 1
2 0 0
2 0 1
1 2 0
0 1 2
0 1 1
10 6
2 3 3
2 1 1
0 3 3
1 3 3
2 0 3
2 2 2
0 2 0
0 1 3
2 2 1
1 0 2
10 2
1 2 2
0 0 2
2 0 1
0 2 1
2 2 1
1 2 0
0 2 2
2 2 2
1 1 1
0 2 0
10 3
0 0 0
3 3 0
0 3 0
2 0 0
2 2 0
1 3 3
2 1 1
3 1 2
2 0 2
2 2 3
10 9
1 0 3
2 3 2
1 0 1
3 2 2
0 1 1
1 3 2
2 3 3
0 3 0
2 0 1
2 2 1
10 2
3 1 0
1 2 2
0 3 2
1 2 1
2 0 3
1 0 2
3 3 1
1 0 3
3 2 3
3 3 0
10 5
1 1 0
0 1 2
2 0 2
2 0 0
0 1 1
2 1 0
2 2 1
1 0 1
1 2 1
0 0 0
10 6
0 0 2
2 2 0
2 0 1
0 2 0
0 1 0
2 2 2
1 1 2
0 1 2
1 2 0
0 0 1
10 3
2 1 0
2 2 0
3 3 1
1 2 1
2 0 1
3 0 3
3 1 1
3 3 0
3 1 3
0 2 3
10 9
2 1 0
1 0 1
0 0 0
2 2 2
0 1 1
0 1 2
0 0 2
1 0 2
2 2 1
0 2 1
10 7
0 2 2
2 0 0
2 0 2
1 1 2
0 0 0
1 2 1
2 1 1
1 1 0
2 2 1
0 2 1
10 3
0 1 1
2 0 1
0 0 2
1 1 1
2 1 0
1 0 1
0 0 1
2 2 0
1 2 2
2 1 2
10 2
0 2 1
3 0 3
0 0 3
3 1 0
3 0 1
0 2 2
2 2 2
1 2 3
0 1 1
3 2 0
10 9
0 1 1
2 3 1
2 2 3
1 2 0
2 0 2
2 1 2
0 0 0
3 2 1
0 3 3
2 1 1
10 5
1 1 2
1 2 1
0 1 1
2 1 0
2 2 2
0 1 0
0 1 2
1 0 1
2 0 0
0 0 2
10 2
3 3 0
0 3 0
3 2 1
1 2 2
2 1 1
1 1 2
1 3 3
0 0 1
0 0 2
2 2 1
10 8
3 0 1
3 0 3
2 2 2
1 1 1
0 0 3
1 1 3
0 0 0
2 0 3
1 1 2
2 1 2
10 7
0 2 3
2 2 3
2 1 1
3 0 2
2 1 3
2 3 2
1 1 2
3 3 0
2 1 0
3 1 1
10 8
2 1 2
2 1 3
3 1 2
1 3 1
3 3 3
1 0 0
0 1 3
2 0 0
3 3 2
2 0 2
10 5
2 2 2
1 2 0
1 0 0
0 1 1
2 1 1
1 2 1
1 2 2
0 2 2
2 2 0
0 0 1
10 5
1 1 1
2 1 2
2 2 0
0 2 1
0 0 2
2 1 1
2 0 0
2 0 2
2 2 1
1 0 1
10 7
1 3 3
2 1 0
1 2 2
2 0 2
3 0 3
0 0 1
3 2 3
1 0 3
3 3 3
0 0 2
10 4
2 0 0
2 0 1
0 0 0
0 1 0
1 2 0
2 1 0
2 1 2
0 2 2
2 2 2
0 2 1
10 7
0 2 2
2 0 1
0 2 1
1 2 1
1 1 1
0 1 0
2 1 1
0 1 1
2 1 0
1 2 0
10 9
2 2 0
0 0 2
2 1 0
0 0 0
2 1 1
0 1 2
0 1 1
1 1 0
2 0 1
2 0 2
10 4
1 1 1
2 3 3
0 1 0
2 0 1
0 0 3
0 2 3
0 3 0
3 1 2
3 2 0
0 1 2
10 7
1 0 1
0 1 0
2 1 0
2 1 2
1 1 1
1 0 0
0 0 0
1 2 2
2 2 1
0 0 2
10 5
1 0 2
3 0 1
3 3 0
1 3 3
0 0 1
1 1 1
3 0 3
2 3 0
3 1 3
1 3 1
10 2
0 3 1
1 2 3
2 3 1
2 1 1
3 2 1
1 1 2
2 2 3
2 1 0
2 0 1
1 3 0
10 2
2 0 0
1 0 0
2 2 1
0 1 0
1 2 0
0 1 1
2 0 1
2 2 2
1 1 1
1 0 2
10 2
0 0 0
3 3 0
0 0 2
1 3 1
0 2 0
3 2 0
2 1 1
2 2 2
3 1 0
1 2 0
10 3
3 0 3
1 1 2
3 3 3
0 1 0
2 2 0
1 1 3
0 2 2
2 3 0
2 1 2
3 1 3
10 4
0 3 3
0 1 1
1 1 2
1 0 0
0 0 0
1 2 3
2 2 2
3 3 2
2 0 3
2 2 3
10 2
2 0 1
2 1 2
1 0 2
1 0 1
0 1 2
0 1 1
1 1 2
1 1 1
0 0 1
2 0 0
10 4
0 1 1
0 0 1
0 0 0
0 0 2
1 3 3
0 1 3
2 2 3
3 3 1
2 1 0
3 0 1
10 3
0 0 0
1 2 1
2 2 2
1 2 0
0 1 0
1 0 0
1 1 2
2 0 0
2 1 0
2 1 1
10 3
1 0 1
0 1 1
2 0 0
0 2 1
0 0 1
1 1 0
1 2 1
0 1 0
0 0 2
2 0 1
10 5
1 3 1
1 0 2
0 1 0
0 3 0
2 2 3
2 0 2
2 1 2
0 0 1
1 2 1
0 0 3
10 7
2 2 0
0 1 1
1 0 1
0 1 2
2 2 2
1 1 0
0 0 1
0 0 2
2 1 1
1 0 2
10 6
1 3 2
3 2 3
2 3 0
0 1 3
0 2 1
0 0 1
3 1 0
3 0 2
2 1 0
1 1 2
10 7
1 2 0
0 2 2
1 0 0
2 1 0
0 3 0
3 2 0
2 2 2
1 3 0
2 0 3
0 3 3
10 3
1 2 2
1 0 0
0 2 2
0 1 2
0 2 0
1 0 2
0 1 1
1 2 1
1 1 2
2 1 2
10 6
1 3 1
2 0 1
1 2 2
3 2 1
1 1 0
1 0 0
2 3 0
3 2 3
2 0 3
0 0 2
10 3
3 2 2
1 0 0
2 2 1
1 0 2
1 3 3
0 0 2
3 1 1
0 1 3
3 3 2
2 1 1
10 7
2 1 0
2 1 2
1 0 0
1 2 2
1 2 0
2 2 0
2 2 2
0 0 1
0 1 1
0 2 1
10 3
0 1 2
1 2 0
0 0 1
2 1 0
2 0 2
0 2 2
2 2 2
1 0 0
2 1 2
1 1 0
10 7
0 0 0
3 3 2
0 0 3
3 1 0
0 3 0
2 1 3
1 1 0
3 1 2
1 1 1
3 0 2
10 9
2 3 1
2 1 1
0 3 3
3 0 2
2 0 0
1 0 0
1 1 1
1 3 1
1 3 2
3 3 0
10 3
2 3 2
3 0 1
3 2 0
2 3 0
3 2 3
2 2 3
3 1 0
0 1 1
1 3 1
3 1 2
10 7
2 1 0
2 0 0
1 1 0
0 1 2
1 0 2
1 2 0
1 1 2
0 0 2
0 2 1
1 0 1
10 5
2 1 1
2 2 1
0 1 2
2 2 2
1 0 2
0 1 1
0 2 2
0 1 0
1 1 2
1 0 0
10 5
2 1 2
1 2 1
2 3 1
3 1 3
3 1 0
1 3 2
1 2 2
2 2 2
1 3 0
1 1 3
10 3
1 1 2
2 0 0
0 3 0
0 2 3
1 2 2
2 1 2
0 0 3
1 1 0
0 3 3
1 3 3
10 4
3 2 0
3 1 2
2 1 0
0 1 3
0 0 2
1 1 2
0 0 3
0 0 1
2 0 3
2 1 3
10 8
0 1 1
0 1 2
0 0 0
2 1 0
1 2 2
1 1 1
0 0 1
0 0 2
0 2 1
2 0 0
10 5
1 2 1
3 3 3
0 3 2
3 3 0
0 2 3
3 0 3
3 0 2
1 3 3
2 2 0
2 0 0
10 4
0 0 1
1 0 2
0 2 1
2 2 0
0 1 0
1 2 2
1 2 0
0 1 1
1 2 1
1 1 1
10 9
1 3 0
2 0 2
3 1 1
0 2 0
1 3 3
3 1 2
2 0 0
2 3 3
3 3 0
2 0 3
10 2
0 1 1
2 2 1
1 1 0
0 0 2
1 1 1
0 1 0
2 0 2
2 2 2
1 0 0
0 0 0
10 3
1 1 1
2 0 0
1 2 0
1 2 2
0 1 0
2 1 0
0 0 2
0 2 2
2 0 1
0 1 1
10 5
1 0 2
1 3 3
2 3 0
0 0 2
1 1 2
3 1 0
1 1 1
1 3 0
3 2 2
1 3 1
10 3
2 1 3
1 3 0
2 3 2
1 1 0
1 0 3
3 0 1
2 2 0
2 0 3
3 1 3
1 2 2
10 3
1 0 0
1 2 2
2 1 2
2 2 2
0 0 1
2 1 0
1 0 2
2 2 1
0 2 0
1 0 1
10 9
2 1 2
0 2 0
2 1 0
0 0 1
1 0 2
1 2 0
2 2 1
1 1 1
2 0 1
2 0 0
10 9
2 1 0
2 0 0
1 2 3
0 2 3
3 0 1
3 3 1
0 0 3
3 0 3
3 2 2
0 1 2
10 5
1 2 0
1 0 1
1 1 2
0 2 0
2 0 2
2 2 2
1 0 0
2 2 0
1 2 2
2 0 1
10 9
1 2 0
0 2 0
1 2 2
2 0 2
1 0 1
1 0 2
0 0 2
0 2 2
0 1 0
2 2 2
10 8
2 0 1
1 2 0
1 1 2
0 1 1
2 0 0
2 1 2
0 2 2
1 2 2
2 2 1
1 1 1
10 2
0 0 2
2 1 0
2 0 1
0 2 0
0 1 0
2 1 2
1 0 1
0 2 2
1 0 0
0 1 1
10 9
2 0 1
1 0 0
1 1 1
2 3 3
3 2 0
2 3 2
3 1 0
2 3 1
1 2 0
0 3 2
10 2
3 0 3
0 2 3
0 0 0
1 2 0
1 1 1
1 3 3
1 2 2
0 2 0
0 3 1
1 3 0
10 2
0 3 2
0 1 3
0 1 2
0 2 0
2 3 2
0 1 1
3 3 0
3 3 3
1 1 2
3 0 1
10 4
1 2 0
2 0 2
2 3 2
3 3 1
1 2 1
1 2 2
0 0 3
1 1 3
0 2 1
2 2 1
10 4
0 0 2
1 0 2
1 1 1
1 2 0
0 2 2
1 2 2
1 0 1
0 2 0
0 1 2
2 2 2
10 3
0 1 0
0 2 1
0 2 2
1 2 2
0 0 2
1 0 2
1 2 1
2 1 2
0 1 1
0 0 0
10 6
1 3 1
0 0 3
3 1 1
1 2 0
0 3 2
3 2 0
1 2 3
1 1 2
2 0 2
0 3 3
10 3
1 2 1
1 2 0
0 1 1
2 1 1
1 0 1
1 0 0
0 0 2
1 1 2
2 0 0
2 0 2
10 2
1 0 0
3 2 3
2 3 1
0 0 1
3 1 0
3 3 0
2 3 0
2 3 2
3 2 2
3 1 1
10 9
2 0 1
1 2 0
0 2 1
2 2 1
0 1 2
1 1 2
2 0 2
0 1 0
1 0 1
0 0 2
10 8
2 3 1
0 0 0
1 1 2
2 0 2
3 2 2
3 3 0
2 1 3
3 3 2
1 3 2
0 3 0
10 6
1 3 0
2 1 1
2 1 3
0 1 3
2 2 2
1 2 0
1 0 2
0 3 1
3 2 0
3 2 3
10 3
2 3 2
3 3 1
2 3 1
0 1 0
1 0 2
3 0 0
2 3 3
2 0 1
1 2 2
2 0 2
10 3
1 2 2
1 1 2
0 2 0
0 0 0
0 2 2
0 1 2
1 1 0
2 2 1
1 0 2
2 1 0
10 4
1 2 0
2 3 0
2 1 3
1 1 3
1 3 2
0 0 3
1 3 3
0 3 1
2 2 2
3 1 1
10 2
1 1 0
2 3 1
2 3 0
1 1 2
0 0 1
0 0 0
2 2 1
1 0 3
2 2 2
3 3 3
10 6
2 2 3
2 3 1
2 2 0
1 0 0
0 1 2
2 3 0
2 2 1
0 3 0
1 3 3
0 1 1
10 7
3 3 3
2 0 2
3 2 1
2 2 1
3 0 2
2 0 1
3 1 2
2 3 3
1 0 0
1 3 3
10 4
0 3 3
0 2 3
3 0 0
2 0 1
3 1 1
2 1 3
1 1 2
3 0 1
2 1 0
1 0 3
10 9
0 0 1
1 2 1
1 2 0
0 1 0
2 2 2
2 0 1
2 2 0
1 1 2
1 0 2
0 2 0
10 7
0 2 3
1 1 2
3 2 1
2 0 1
3 0 0
0 2 1
3 1 1
1 1 1
0 1 3
3 1 3
10 9
1 2 1
1 1 1
0 1 0
0 0 1
2 0 0
2 0 1
0 2 0
1 0 0
0 1 2
0 0 2
10 3
0 3 0
0 0 0
3 2 2
2 1 0
3 2 1
0 1 3
0 1 2
3 3 0
0 0 1
2 2 0
10 4
0 2 3
0 2 1
2 1 2
3 3 1
0 1 2
0 0 3
2 2 3
3 3 0
0 0 1
2 0 0
10 9
2 0 2
0 3 0
0 1 3
3 1 3
3 2 1
2 3 0
2 1 2
2 2 0
0 0 2
1 2 2
10 8
2 2 1
0 2 1
1 1 0
2 0 1
0 2 0
1 1 1
0 0 2
1 2 0
2 1 2
1 2 2
10 9
1 0 1
2 0 1
2 2 0
0 1 0
1 0 0
2 2 1
0 2 2
1 2 0
2 1 1
0 2 1
10 7
2 2 2
0 3 3
0 0 3
0 0 0
0 0 1
0 2 3
2 0 1
2 1 3
1 1 1
0 0 2
10 7
1 2 2
0 1 0
2 2 2
1 2 1
0 2 1
2 1 2
1 0 1
0 0 2
0 1 2
0 1 1
10 4
0 1 1
2 2 1
1 2 0
1 1 1
0 0 1
2 0 2
2 1 1
2 2 2
2 2 0
1 0 1
10 2
1 2 2
1 1 2
0 1 2
2 1 0
2 2 0
1 2 0
2 0 2
1 2 1
1 0 1
1 0 2
10 3
3 0 1
3 0 0
2 3 1
3 0 2
2 2 1
0 3 1
0 2 2
3 2 2
1 0 1
1 1 3
10 6
0 1 0
2 1 2
2 2 1
0 0 2
2 2 0
0 0 0
0 2 2
1 1 2
2 0 1
0 1 2
10 9
1 1 0
0 2 0
0 0 1
1 2 1
2 2 0
0 0 0
2 0 2
0 2 2
0 1 2
1 0 0
10 2
2 0 3
3 2 3
0 3 1
0 1 0
0 3 2
3 3 3
3 0 3
2 0 2
1 0 3
0 0 3
10 9
3 0 0
3 3 0
3 1 2
0 3 1
2 1 2
0 3 0
1 3 2
2 0 3
0 3 3
1 2 3
10 7
0 1 1
0 0 0
0 1 2
1 2 0
2 1 0
0 1 0
1 0 2
2 0 2
2 0 0
0 2 2
10 4
2 0 1
3 2 3
3 0 0
0 3 3
3 3 3
2 2 3
0 2 3
2 2 1
0 0 0
2 1 1
10 2
1 1 2
2 2 2
0 0 0
0 1 2
2 1 1
2 0 0
1 2 1
2 2 0
0 0 1
2 2 1
10 5
1 1 2
3 2 0
0 2 0
0 0 3
0 1 2
0 3 2
1 2 0
2 2 3
1 0 1
3 3 2
10 7
1 2 2
0 3 1
1 0 0
2 0 2
0 0 2
1 0 3
0 0 1
2 2 1
0 1 2
2 2 3
10 8
1 0 0
1 2 1
0 1 1
0 2 1
2 0 1
1 1 2
0 1 0
2 2 2
2 0 2
1 1 1
10 7
1 2 0
0 1 1
1 0 2
2 1 0
2 0 0
0 0 0
2 0 1
0 1 0
2 0 2
1 0 1
10 8
2 1 1
1 1 2
1 2 1
1 0 2
2 0 1
0 0 1
2 2 2
2 2 0
1 2 0
1 1 0
10 2
3 1 2
2 3 3
3 2 0
3 1 3
1 3 2
3 1 1
0 0 1
2 3 2
2 2 3
1 0 1
10 3
0 0 0
0 1 0
2 0 2
1 2 2
0 0 1
0 2 2
0 1 1
1 0 0
0 2 1
1 1 0
10 4
0 0 1
2 0 0
3 3 0
0 3 1
3 2 3
3 1 2
0 2 3
0 1 1
3 1 1
0 3 0
10 9
2 0 1
1 0 1
0 1 2
0 2 1
1 0 0
0 1 0
0 2 2
0 0 1
1 1 2
1 1 0
10 8
3 2 1
2 1 0
0 1 3
3 3 1
1 1 3
3 3 3
1 0 1
1 2 3
1 2 0
1 0 0
10 6
2 0 2
1 0 1
0 1 1
2 2 0
0 0 1
1 2 0
1 2 1
2 1 0
0 1 2
2 2 2
10 4
0 0 2
0 2 0
2 2 2
1 0 0
1 2 1
0 0 0
2 1 1
2 2 0
1 2 2
2 0 2
10 3
3 3 3
1 2 1
1 3 2
0 0 1
2 3 0
3 3 0
3 1 0
1 0 3
1 2 2
2 2 2
10 9
2 2 2
1 3 3
1 0 2
3 0 3
0 1 0
0 2 2
0 2 3
1 1 1
1 2 2
2 1 0
10 9
0 1 2
1 0 2
2 2 2
2 1 1
1 0 1
1 2 1
1 2 2
2 2 1
1 2 0
0 0 1
10 9
0 1 0
1 1 0
2 2 2
2 0 0
1 2 2
0 0 2
2 2 0
0 0 0
2 0 2
0 0 1
10 4
1 0 1
0 2 2
2 2 2
1 2 2
1 1 2
0 0 0
1 1 1
1 1 0
2 0 2
1 2 1
10 7
2 0 2
3 1 1
0 3 2
1 0 1
3 1 0
3 3 2
0 2 0
1 0 0
0 3 1
1 2 3
10 4
0 3 2
1 0 3
1 1 1
1 1 2
0 0 3
2 3 0
0 0 1
0 2 1
1 3 1
0 1 1
10 2
2 2 1
0 1 1
0 2 2
2 2 2
1 1 0
2 0 0
2 0 2
0 0 2
0 0 0
1 1 1
10 6
0 1 2
0 2 1
2 2 0
1 0 1
2 0 1
1 0 0
2 1 0
0 2 0
0 1 0
0 0 1
10 8
2 1 0
1 2 1
2 0 0
1 1 2
0 1 2
2 2 0
2 0 1
1 1 0
2 1 2
2 2 1
10 9
1 1 0
1 2 3
3 0 0
3 0 2
3 3 3
0 1 2
3 2 2
1 3 1
1 1 3
0 0 2
10 6
1 2 1
0 1 0
2 1 2
2 2 2
0 0 1
0 1 1
1 0 0
2 2 0
2 2 1
1 0 1
10 8
0 0 2
0 2 1
1 0 2
2 1 0
2 3 1
0 2 3
3 2 2
2 0 2
3 3 2
3 3 1
10 6
2 1 0
1 2 1
0 0 0
1 1 2
2 2 0
0 2 1
1 1 1
0 1 1
1 0 0
1 2 0
10 8
2 2 2
3 3 3
0 3 3
0 0 2
3 1 0
2 3 2
1 3 2
1 0 2
3 0 3
2 2 0
10 8
2 0 0
1 2 0
0 0 2
1 1 0
2 1 2
2 0 1
1 2 2
1 0 1
1 0 2
0 2 1
10 3
3 1 2
0 0 1
0 1 1
1 3 1
2 1 2
1 3 0
3 2 0
2 0 3
2 3 0
2 1 3
10 2
1 1 2
3 2 2
2 3 1
2 1 3
2 1 2
1 2 0
3 1 2
2 1 0
1 2 3
2 2 3
10 8
1 0 0
1 0 2
0 3 1
3 3 0
0 3 2
3 1 3
0 0 2
2 1 2
2 3 2
0 0 3
10 3
0 3 2
2 0 3
0 1 2
0 0 0
2 1 1
0 3 3
1 2 0
3 3 1
1 1 2
1 3 2
10 4
2 1 3
1 0 2
0 2 2
0 3 1
2 2 3
0 2 0
3 0 0
2 3 3
3 2 2
1 1 0
10 8
2 2 2
1 0 0
2 0 1
0 2 1
2 2 0
1 2 2
0 0 2
2 1 2
0 1 2
2 0 0
10 5
2 1 0
2 2 0
2 1 2
1 0 2
1 1 1
0 0 2
1 2 0
1 1 2
2 1 1
2 0 1
10 5
1 1 1
0 1 0
1 0 2
2 1 0
0 2 0
0 2 1
2 1 2
2 0 2
0 1 2
0 2 2
10 9
0 1 2
1 2 1
0 0 0
2 0 1
1 1 1
0 2 1
2 2 1
2 1 2
1 1 2
1 2 2
10 6
0 2 2
2 0 1
1 2 2
0 2 1
1 0 1
0 1 1
0 1 0
1 2 0
2 2 0
1 1 1
10 9
1 2 1
2 1 1
0 2 2
2 1 0
2 2 2
0 1 1
1 1 2
0 0 1
0 0 0
0 0 2
10 7
2 2 3
3 1 3
3 3 0
2 1 3
1 3 3
1 1 1
2 1 0
1 0 3
0 3 0
3 2 0
10 3
0 1 0
0 0 2
0 0 1
2 1 2
0 1 2
0 2 1
0 2 0
2 0 0
2 2 1
1 0 0
10 8
2 0 0
0 2 2
2 0 2
2 2 0
0 1 2
1 0 2
1 2 1
0 2 0
1 1 0
1 1 1
10 3
3 1 2
2 2 0
0 1 1
2 1 2
0 1 0
2 0 0
1 0 1
3 3 3
3 3 0
0 3 3
10 6
2 0 0
1 2 0
0 2 2
1 0 0
2 2 0
1 1 0
2 1 1
1 2 1
1 1 1
0 0 2
10 5
3 3 1
2 3 3
2 3 0
3 0 0
1 2 3
0 1 1
1 3 1
2 0 2
1 0 3
0 3 1
10 5
3 3 1
1 0 1
3 2 2
3 0 2
1 2 0
0 2 3
2 2 0
2 2 3
0 0 1
2 2 2
10 5
2 0 0
0 0 0
0 2 1
1 1 1
1 1 0
0 1 1
2 2 1
1 0 0
0 2 0
0 1 0
10 6
2 0 3
2 2 2
3 1 0
1 1 2
0 1 0
1 1 1
3 2 0
0 1 2
0 0 2
3 2 3
10 6
0 0 3
3 0 3
2 3 0
3 0 1
1 3 1
2 0 2
0 3 0
3 2 2
2 3 1
2 3 3
10 5
0 3 3
3 2 1
2 1 1
1 2 0
1 3 3
1 3 0
0 2 3
0 0 0
3 1 2
3 2 3
10 7
1 2 0
2 2 0
3 1 3
0 1 3
1 3 2
1 1 0
1 2 1
2 1 1
3 0 3
0 1 2
10 4
2 0 0
1 3 1
3 0 1
3 3 3
1 2 3
1 1 0
0 1 1
0 3 0
1 0 3
0 3 2
10 2
1 0 2
1 0 0
2 2 2
0 0 0
0 0 1
2 2 0
1 2 2
2 0 1
0 2 2
1 1 0
10 2
2 3 3
2 0 2
2 0 1
0 2 3
0 1 3
3 0 1
2 1 2
3 3 0
1 3 0
2 3 2
10 3
2 2 0
0 2 0
2 1 0
2 1 2
1 2 2
2 0 0
1 0 2
1 1 0
0 1 2
2 2 2
10 9
0 2 0
2 2 2
2 0 1
1 2 0
2 2 0
2 1 1
2 1 0
1 1 0
0 1 1
0 2 1
10 6
3 0 0
3 3 2
0 1 0
1 0 1
1 1 3
1 0 3
2 1 2
2 3 3
1 2 3
3 2 1
10 2
1 1 1
2 1 2
1 1 0
1 0 2
0 0 2
1 2 1
2 1 0
1 0 0
0 1 0
0 2 2
10 8
2 0 0
1 2 1
1 2 0
1 2 2
2 2 0
0 2 1
2 0 1
1 1 1
0 0 0
1 0 2
10 3
3 1 2
3 2 0
1 0 2
2 2 2
3 1 0
1 2 3
0 2 0
1 3 2
1 3 0
1 0 1
10 6
1 0 0
2 0 1
1 1 0
2 0 2
1 1 2
0 0 0
1 1 1
1 2 0
0 1 1
1 2 1
10 8
1 2 0
2 2 0
1 1 2
1 2 2
2 2 1
0 2 2
0 0 2
1 0 2
2 1 1
1 1 0
10 6
3 2 0
0 1 1
2 3 3
2 1 3
3 3 2
2 0 0
1 2 1
2 0 3
1 2 0
1 3 0
10 4
1 1 1
3 0 1
0 3 0
1 1 0
0 3 3
1 3 0
3 2 2
0 2 2
0 1 1
0 2 1
10 8
2 1 2
1 0 2
2 2 0
2 0 0
1 2 1
1 0 0
0 0 2
2 1 0
1 1 1
2 0 1
10 2
0 0 1
1 2 2
2 2 1
0 0 0
0 1 0
0 0 2
1 1 0
1 1 2
1 2 1
2 0 1
10 2
1 0 0
1 2 0
2 2 0
2 1 2
2 2 1
0 2 0
2 1 1
1 1 0
0 1 1
1 1 2
10 5
1 2 1
2 0 2
0 1 2
0 1 0
0 2 1
2 0 0
1 0 1
0 2 2
2 1 1
2 2 1
10 5
2 1 2
1 0 1
2 2 0
2 1 0
1 1 2
2 0 1
2 0 0
1 1 1
1 2 1
0 2 0
10 9
2 0 1
3 1 3
3 3 3
3 1 0
3 1 1
1 2 3
0 0 2
3 3 1
1 3 2
2 3 3
10 5
1 2 1
1 2 0
1 0 2
2 2 0
2 1 0
0 2 0
0 2 2
2 2 2
2 1 1
1 2 2
10 5
0 1 0
0 2 0
2 0 1
2 1 1
1 1 0
0 0 1
1 2 2
0 1 1
2 1 2
0 1 2
10 6
1 3 3
0 0 2
1 1 0
2 2 0
0 1 2
0 0 0
3 1 3
3 3 2
3 2 2
2 3 0
10 5
1 0 0
1 1 2
2 0 0
0 1 2
2 2 2
1 2 0
2 1 0
1 2 2
0 2 2
1 1 1
10 7
3 3 3
2 1 2
3 1 1
3 3 1
3 2 1
2 0 3
1 0 0
1 2 3
2 3 2
1 3 0
10 5
0 1 2
1 0 0
0 2 2
3 2 1
3 0 2
1 1 3
2 3 3
0 0 0
2 1 0
3 0 0
10 6
1 1 2
1 0 0
0 0 1
1 0 1
2 2 0
0 2 1
0 0 0
2 0 0
2 1 0
1 2 2
10 6
1 0 0
2 0 0
3 2 0
1 1 0
3 3 0
0 3 2
3 0 2
1 3 2
0 2 3
1 2 2
10 7
3 3 1
3 0 0
1 1 1
3 1 2
0 0 2
1 1 3
1 0 2
1 2 3
0 0 1
2 1 3
10 4
1 0 1
0 2 1
1 2 2
2 0 1
2 0 2
1 0 2
0 0 0
2 1 0
1 2 1
0 0 1
10 2
3 1 2
2 2 2
2 2 1
0 3 0
1 0 3
2 0 2
1 0 1
0 3 2
3 1 3
1 1 2
10 3
0 1 0
0 0 1
2 1 2
1 1 1
0 0 2
2 1 1
2 2 2
1 0 2
1 0 1
2 0 1
10 3
0 0 0
1 2 0
1 0 0
0 1 0
0 1 2
0 2 1
2 2 2
0 2 0
2 0 2
1 0 2
10 8
2 1 3
1 0 0
1 2 3
2 2 2
1 0 1
0 2 2
3 2 0
3 3 3
3 0 0
1 3 3
10 7
0 1 2
2 0 0
2 1 2
1 2 2
2 0 2
0 2 1
2 2 1
1 1 0
2 2 0
1 1 2
10 3
0 2 2
2 1 0
2 2 2
2 1 2
1 0 2
2 0 2
2 0 0
0 0 0
0 0 1
2 2 1
10 5
0 1 0
1 0 1
0 0 1
0 0 2
2 0 0
1 0 0
2 0 1
1 1 2
2 0 2
0 0 0
10 6
1 2 1
2 1 1
0 1 0
1 0 1
1 2 2
1 0 0
0 0 1
2 0 1
2 2 0
0 0 0
10 3
1 3 1
2 3 1
0 0 1
3 1 2
0 3 0
3 0 3
1 0 2
0 3 1
2 1 3
2 0 0
10 4
0 0 2
1 2 0
2 1 2
0 1 1
2 2 2
1 1 2
2 2 0
2 1 0
0 2 0
0 2 1
10 8
3 1 2
3 0 2
1 0 1
2 2 2
1 3 2
1 0 3
2 2 1
1 3 0
1 3 3
3 3 1
10 3
2 1 0
1 0 0
1 2 1
0 2 1
0 1 0
0 0 0
2 2 2
2 2 1
0 2 0
0 0 2
10 7
0 2 1
2 0 2
2 2 1
1 2 1
2 1 2
0 1 0
1 2 0
2 1 1
2 0 0
2 0 1
10 8
0 0 0
2 0 1
1 2 0
2 0 0
0 0 1
1 0 1
0 2 0
1 1 1
2 1 1
1 1 2
10 5
0 2 0
2 0 1
1 2 2
0 0 2
2 0 2
2 2 2
0 0 0
1 1 2
2 1 0
0 1 2
10 5
0 1 1
0 1 2
3 3 3
1 1 2
0 0 1
2 3 1
3 1 1
0 2 3
2 2 2
0 1 0
10 4
0 0 1
0 3 3
0 1 2
2 3 2
3 0 0
1 0 0
1 2 0
1 1 3
2 3 0
3 3 0
10 9
0 2 3
3 2 2
1 1 2
0 2 1
2 1 0
1 3 1
3 0 0
0 1 0
3 2 0
1 1 3
10 9
2 1 2
0 1 1
1 0 0
0 0 1
0 2 1
0 2 0
0 1 0
1 1 0
2 2 1
1 1 1
10 9
2 1 3
0 1 1
3 3 1
1 0 0
0 3 3
3 2 0
1 2 2
0 1 3
1 1 3
2 3 2
10 5
2 3 3
3 1 0
0 3 3
1 1 3
1 1 0
2 1 3
2 0 3
0 1 2
2 0 1
3 0 2
10 4
1 1 1
1 1 2
0 2 2
2 2 2
1 2 0
0 2 1
0 1 1
2 0 2
0 0 2
0 2 0
10 2
1 0 2
1 2 1
1 0 1
2 0 2
2 2 2
2 2 0
0 1 0
1 1 2
1 1 0
0 0 1
10 5
1 2 2
0 1 0
0 0 2
1 2 0
2 1 2
0 0 1
1 2 1
0 1 1
0 1 2
1 1 0
10 5
2 0 2
1 2 2
1 1 1
0 0 0
0 2 0
1 1 2
0 2 1
2 1 2
0 2 2
0 0 1
10 9
1 1 1
3 2 2
1 2 2
2 0 0
1 0 0
3 0 2
0 1 1
0 2 0
1 1 0
3 1 0
10 2
2 0 0
1 3 3
1 0 1
3 3 3
0 2 3
2 1 0
0 3 3
2 3 1
3 1 0
0 0 3
10 4
2 1 1
2 2 3
2 0 2
0 2 2
0 2 0
3 0 1
0 1 0
1 1 2
0 0 3
3 1 1
10 7
1 1 2
0 1 1
1 0 2
2 1 0
1 2 1
2 2 0
0 2 0
2 2 1
2 1 2
2 0 0
10 8
0 3 1
3 0 0
0 2 1
3 3 3
1 1 1
1 3 1
2 2 2
1 2 0
0 0 2
0 1 0
10 7
2 0 0
2 2 2
0 1 0
0 1 2
1 2 1
0 2 0
2 0 1
0 2 2
2 2 0
2 0 2
10 3
3 2 2
2 2 0
1 1 1
0 2 1
2 0 2
0 3 2
1 0 1
0 2 0
1 1 0
1 0 3
10 4
2 2 1
0 0 0
1 3 0
0 3 2
1 0 3
1 0 2
0 1 3
2 0 0
1 0 0
2 0 1
10 4
2 0 2
1 2 1
0 1 1
2 0 0
1 0 1
2 0 1
1 1 0
0 2 2
1 1 2
0 0 0
10 9
0 1 1
2 2 1
0 2 1
1 1 0
0 2 2
2 2 0
3 3 3
1 1 3
1 1 1
3 1 2
10 9
0 1 3
2 1 2
1 2 0
1 0 2
2 2 3
0 0 3
0 1 2
1 3 1
3 2 1
3 1 1
10 6
1 0 3
1 2 2
2 3 1
1 3 2
3 0 2
2 1 1
2 1 3
3 0 3
1 0 1
0 3 2
10 6
2 2 2
2 0 0
1 2 2
0 1 2
2 1 0
0 0 2
0 0 1
2 2 1
2 2 0
1 1 1
10 4
2 2 0
3 3 1
0 0 0
0 2 3
1 3 1
2 2 2
2 1 3
1 0 1
2 3 1
2 3 2
10 9
1 0 0
2 2 2
0 1 1
2 1 1
2 0 1
2 2 0
0 0 0
0 0 1
1 1 1
1 0 1
10 2
1 2 2
0 1 1
2 1 1
1 1 0
0 1 0
1 2 0
1 2 1
0 1 2
2 1 0
2 0 1
10 7
1 3 1
0 1 2
0 3 2
3 1 3
1 0 1
2 0 0
2 1 1
2 0 3
1 1 3
1 0 0
10 9
0 1 2
1 1 1
2 1 1
2 0 1
1 1 0
2 2 0
0 0 1
1 2 1
2 1 2
2 2 1
10 2
1 3 0
0 2 2
2 2 3
1 2 3
2 2 1
0 0 3
3 2 2
1 3 2
1 1 3
0 2 3
10 7
1 3 0
0 2 1
0 2 3
1 2 0
2 3 1
0 3 3
1 3 1
3 1 3
1 1 1
0 1 2
10 2
1 2 0
2 3 3
2 3 1
2 2 1
3 2 2
2 0 0
0 1 2
3 3 1
1 0 3
1 0 2
10 8
2 0 3
2 0 0
2 3 0
0 2 0
1 0 2
0 0 1
1 2 2
2 0 2
2 1 3
0 3 0
10 6
1 0 0
2 0 2
0 2 2
0 2 1
2 0 0
1 0 1
1 0 2
1 1 1
2 1 1
0 1 0
10 3
2 0 1
0 1 2
0 2 2
1 1 2
2 0 0
0 0 0
0 0 1
1 0 1
2 0 2
2 1 0
10 5
0 2 0
2 1 2
2 0 0
0 1 0
0 2 2
2 0 1
0 1 2
1 0 2
1 2 0
0 0 0
10 6
3 1 0
2 2 3
1 3 3
2 3 1
2 3 3
3 3 3
1 2 1
0 0 2
3 0 3
0 2 3
10 3
0 2 0
1 0 3
0 1 0
3 1 3
0 2 3
1 1 2
1 0 0
3 0 3
0 1 2
3 3 0
10 5
2 1 1
2 0 0
0 2 0
2 2 1
0 1 0
2 2 2
0 0 1
1 0 2
1 1 2
1 2 2
10 9
2 1 3
0 2 3
0 3 0
1 1 2
2 3 0
1 3 1
1 2 1
1 1 3
3 2 3
2 0 3
10 3
1 2 2
1 2 1
2 2 0
2 1 0
0 0 1
1 1 2
1 0 0
2 1 1
0 1 0
0 0 0
10 6
2 2 1
0 0 2
2 1 1
1 0 2
1 1 0
3 3 3
1 0 0
3 0 2
1 0 1
2 0 1
10 6
0 2 0
0 2 2
2 2 1
1 1 0
1 1 1
2 2 2
1 2 2
0 0 0
0 0 2
1 0 2
10 2
2 2 2
0 1 2
0 0 2
0 2 0
2 1 1
1 1 0
0 0 0
0 2 1
2 0 0
2 1 0
10 2
1 0 2
0 3 2
0 0 2
3 0 2
3 3 0
3 1 1
2 1 1
2 2 3
2 0 0
2 2 1
10 2
0 0 3
2 0 0
1 2 1
2 3 2
2 0 1
1 1 3
3 2 1
0 1 3
3 0 1
2 3 0
10 5
2 1 3
2 2 2
1 2 1
3 0 0
2 3 0
2 2 3
1 0 3
1 0 0
1 1 1
3 3 2
10 4
1 2 0
0 2 0
1 2 1
2 0 2
2 2 2
1 0 2
0 1 0
1 1 2
0 1 2
2 1 1
10 4
3 1 2
0 0 0
1 1 2
2 2 0
3 3 3
3 2 0
0 2 0
1 0 0
0 3 1
3 0 0
10 6
3 3 0
0 3 1
2 1 1
1 2 0
0 3 2
3 0 0
1 0 3
3 2 3
0 2 1
3 3 1
10 3
1 0 0
1 2 3
3 3 0
2 0 3
1 2 0
0 2 0
3 0 2
1 3 0
1 1 1
3 0 3
10 5
1 2 0
1 0 1
2 1 1
1 0 0
1 2 1
2 0 1
2 1 2
1 2 2
0 0 2
2 0 0
10 8
2 1 1
0 2 1
0 2 2
1 1 2
0 0 2
2 2 2
0 1 0
0 1 1
1 2 2
2 0 1
10 9
0 1 1
3 3 1
1 2 3
2 1 1
2 3 0
3 0 3
1 2 0
0 2 1
1 3 1
1 3 2
10 6
0 2 1
2 0 1
2 1 1
3 2 1
3 2 0
1 1 1
0 3 0
2 0 0
2 3 3
1 0 0
10 3
0 2 1
2 0 2
2 1 1
1 2 1
0 0 2
0 1 2
2 0 0
1 2 2
1 0 1
2 1 2
10 5
3 1 2
3 2 2
2 3 2
1 1 2
1 0 0
0 0 3
1 3 1
0 2 3
1 2 2
1 2 1
10 9
0 2 2
2 0 1
2 0 0
0 1 2
2 1 1
2 2 2
1 0 1
0 0 1
1 2 0
0 0 0
10 8
3 1 3
0 0 3
0 0 1
3 3 1
2 1 1
2 2 1
0 3 0
2 3 2
1 0 3
1 3 3
10 2
1 0 0
1 1 2
1 0 2
0 1 1
2 1 1
0 1 2
2 2 0
2 0 0
2 0 1
1 0 1
10 4
2 2 3
1 3 2
1 2 3
2 0 1
1 3 0
2 0 3
3 0 0
3 3 1
2 3 0
2 3 2
10 2
1 2 0
0 1 2
3 1 0
3 1 1
2 3 3
1 2 3
1 2 2
0 1 0
1 1 1
2 0 1
10 9
2 2 1
0 2 2
3 3 3
2 1 2
1 0 1
2 3 0
3 2 1
1 3 3
2 1 0
3 3 0
10 5
0 0 1
0 1 0
1 0 1
2 1 2
2 0 2
2 0 0
2 2 0
0 2 1
0 0 0
2 1 1
10 6
2 3 2
0 1 1
3 1 1
3 2 1
0 3 0
1 2 3
2 0 1
2 0 3
2 1 2
2 1 1
10 7
1 2 0
3 0 3
0 2 1
1 2 1
3 0 1
0 0 2
3 3 3
3 0 2
3 1 3
2 3 3
10 7
2 1 3
3 2 1
2 2 2
3 1 3
3 1 1
2 3 3
1 3 0
2 3 0
3 3 1
0 0 3
10 8
1 2 3
3 1 3
0 1 2
0 1 3
0 3 2
0 0 2
1 3 1
2 2 3
3 3 1
0 3 0
10 7
2 0 3
1 3 3
3 3 3
1 0 3
3 3 2
2 1 3
3 0 0
1 2 2
2 2 3
1 2 3
10 7
1 0 0
2 2 1
1 1 0
2 0 0
1 0 2
1 2 2
1 2 0
1 1 1
0 2 0
1 0 1
10 2
1 0 1
2 0 0
1 2 2
0 0 0
0 2 2
2 2 2
0 2 0
2 1 1
1 1 1
1 0 0
10 4
3 0 0
3 3 0
2 1 2
3 3 3
1 0 3
3 1 3
1 0 2
3 3 2
2 0 0
0 2 2
10 6
0 1 0
2 0 1
0 0 0
2 1 0
1 1 1
1 2 0
0 2 2
2 0 0
0 2 1
1 1 2
10 9
1 1 2
2 1 2
0 1 2
1 2 1
0 1 1
1 0 2
0 2 0
1 0 1
1 2 2
0 1 0
10 2
0 1 2
2 0 0
0 0 1
2 0 2
0 2 1
0 0 2
1 0 2
2 1 2
1 1 0
2 2 1
10 3
2 1 0
2 2 0
1 2 1
1 0 1
1 2 2
2 0 2
0 0 0
0 1 0
2 1 1
1 1 0
10 6
3 0 2
2 0 2
2 1 1
0 0 3
3 3 3
2 3 1
3 0 0
1 2 3
1 3 2
0 3 3
10 8
0 2 2
1 0 1
2 0 1
0 1 0
0 1 1
0 0 1
1 2 1
1 1 0
2 1 2
0 0 2
10 5
2 0 0
0 1 0
0 2 1
2 1 0
1 0 1
1 1 1
1 1 0
0 0 0
0 1 2
0 0 2
10 9
1 0 1
0 0 2
1 2 1
2 2 2
1 0 2
0 2 0
1 1 0
0 0 1
1 2 0
2 1 1
10 5
0 3 3
3 2 0
3 3 0
1 3 2
2 0 0
1 2 0
3 1 0
2 1 2
2 1 0
0 1 1
10 5
0 3 3
2 0 2
3 0 2
2 3 1
3 0 1
1 1 1
1 3 2
2 1 0
2 2 0
1 3 1
10 3
2 1 2
2 2 0
0 0 2
2 0 2
0 0 1
0 0 0
1 0 0
2 0 0
0 2 2
1 0 2
10 2
2 1 2
2 0 2
0 2 1
1 2 2
1 2 1
2 0 1
0 0 1
0 2 2
1 2 0
2 1 0
10 3
0 2 0
3 1 0
3 2 0
0 1 3
0 3 0
1 2 0
3 3 3
0 2 3
1 2 3
1 3 0
10 8
3 0 0
3 0 2
1 1 0
3 1 0
1 3 2
3 3 1
0 2 3
0 2 0
2 0 0
2 2 3
10 2
2 2 1
2 2 0
0 0 0
2 0 2
2 1 2
1 0 1
0 0 2
2 1 1
0 2 2
1 1 2
10 8
3 0 1
1 2 0
0 0 2
0 1 1
3 2 3
2 1 0
3 1 3
1 1 3
1 0 3
2 0 1
10 3
2 3 3
3 1 3
1 2 2
2 1 3
2 3 2
0 0 3
0 3 1
2 3 1
3 0 1
3 2 2
10 3
1 0 2
1 0 0
2 3 3
2 0 0
1 2 1
0 2 2
2 0 1
1 3 0
3 1 0
3 3 0
10 9
3 1 1
2 3 0
3 0 1
1 3 3
2 0 1
3 2 2
1 3 0
3 0 2
2 3 1
0 1 0
10 3
2 1 0
1 1 0
0 0 2
1 0 0
0 1 0
0 1 1
2 1 2
2 2 2
1 2 1
2 2 1
10 6
0 3 3
3 3 1
0 0 0
2 2 0
3 2 1
1 1 0
1 1 2
2 0 0
1 3 3
0 1 1
10 9
3 3 0
1 3 3
3 2 2
2 0 3
3 1 1
0 1 0
1 3 0
3 3 1
0 1 2
3 1 3
10 4
1 2 1
0 2 2
2 1 3
2 0 2
0 1 0
3 3 0
0 2 1
2 3 1
3 0 0
0 3 2
10 2
3 2 2
2 0 3
1 1 1
2 0 0
2 3 1
0 1 0
3 2 1
3 1 1
2 1 1
1 2 0
10 3
1 3 2
2 0 2
0 2 3
3 0 3
2 2 3
0 0 1
2 0 1
2 1 2
1 1 3
3 1 3
10 2
3 0 0
2 3 2
0 2 1
2 1 3
1 0 2
1 3 0
2 0 0
1 0 1
3 1 0
3 0 2
10 9
0 2 0
0 1 2
1 0 1
0 0 1
0 1 1
0 0 0
3 1 1
3 1 2
3 3 2
0 2 1
10 7
3 3 0
0 3 3
3 0 0
3 3 3
2 0 0
2 2 0
2 3 1
2 2 3
2 3 0
1 0 3
10 7
0 0 1
2 1 0
1 0 0
1 1 0
2 0 2
1 2 0
0 2 2
1 2 1
1 0 1
2 0 0
10 7
0 1 1
1 0 1
1 2 0
0 2 1
2 0 0
0 0 2
2 1 2
2 1 0
0 2 0
1 0 2
10 3
0 2 3
0 1 0
3 2 2
0 1 3
3 2 3
2 2 0
0 0 3
3 0 2
1 1 2
3 1 2
10 4
0 0 0
0 0 1
0 0 2
2 0 2
0 2 1
0 2 2
2 2 0
1 1 0
1 2 0
2 0 0
10 4
2 0 2
1 1 1
1 0 3
0 2 2
3 2 0
2 1 2
3 3 2
2 2 0
1 1 2
3 0 3
10 6
1 1 1
0 3 0
0 2 3
0 3 3
2 3 3
3 3 3
2 3 0
0 1 0
2 0 2
0 1 3
10 4
2 2 1
1 0 1
2 1 2
0 0 2
1 1 1
1 0 2
1 2 0
0 1 2
2 0 1
0 2 0
10 6
1 2 2
1 2 1
3 2 2
0 0 0
2 1 3
2 0 0
3 0 2
3 2 3
2 3 2
0 0 2
10 7
0 0 2
1 2 2
1 2 1
2 0 0
0 0 0
2 1 1
0 2 1
1 0 2
2 2 0
1 0 1
10 2
1 0 3
3 0 0
2 1 1
3 1 3
3 0 3
2 3 0
2 3 1
1 0 2
2 3 3
1 0 1
10 3
2 1 1
3 3 1
1 2 1
1 2 2
1 3 3
2 0 2
1 1 0
0 1 3
2 3 1
2 2 1
10 3
0 1 0
2 2 0
1 1 2
0 1 1
0 1 2
2 1 2
1 2 1
2 0 0
2 1 1
2 0 1
10 4
2 2 1
2 0 0
0 2 0
2 0 2
0 2 1
0 1 1
0 0 2
2 1 1
1 0 0
1 1 2
10 6
0 1 2
0 2 2
1 0 1
0 1 0
1 2 2
1 1 0
1 2 1
0 0 2
0 1 1
2 2 0
10 9
2 1 0
0 1 0
1 0 0
1 2 2
2 0 0
1 1 2
1 0 2
1 1 0
2 1 1
0 2 2
10 9
1 0 2
1 1 0
2 2 1
0 2 2
2 0 1
2 1 1
1 0 1
2 0 0
0 1 0
2 0 2
10 9
3 1 2
3 2 3
2 1 0
0 3 3
2 2 3
1 3 3
1 0 0
2 0 2
1 1 1
1 1 2
10 7
2 2 2
0 2 1
1 1 1
2 0 0
1 0 2
1 1 2
0 2 2
1 0 0
2 1 0
0 1 0
10 9
1 2 2
1 3 2
3 0 1
3 0 0
0 2 3
0 0 3
2 2 1
0 1 0
0 1 3
3 1 2
10 3
2 2 3
1 3 3
0 1 3
0 3 2
1 0 3
1 2 3
2 0 1
3 3 1
2 0 3
0 3 3
10 9
1 0 1
1 0 0
0 0 2
0 1 2
0 1 1
2 1 0
1 2 0
2 2 0
1 1 0
0 2 2
10 9
1 0 0
1 0 1
1 0 2
1 1 2
0 2 2
2 0 2
1 1 1
2 0 0
2 2 1
2 2 2
10 6
0 2 3
0 3 3
1 0 1
0 3 0
3 2 1
3 3 3
1 0 2
1 3 1
2 3 3
2 1 3
10 4
1 2 3
2 0 2
0 3 0
0 2 3
2 1 3
0 0 3
0 3 1
0 2 0
2 3 1
1 2 2
10 4
2 2 0
2 1 0
1 0 0
0 0 2
2 0 2
1 0 2
0 1 0
1 2 1
1 1 0
1 2 2
10 2
2 2 2
1 1 1
2 1 2
0 2 2
1 2 0
2 0 2
0 0 2
2 2 1
0 1 2
2 2 0
10 3
0 3 0
3 3 2
1 3 3
1 3 0
2 0 3
3 3 1
2 2 1
0 0 3
2 1 2
3 0 1
10 4
1 0 2
3 3 2
2 0 1
2 2 0
1 0 3
3 2 1
1 2 2
1 3 3
2 0 2
3 1 1
10 2
1 2 0
2 2 3
0 3 1
1 2 1
2 3 3
1 1 2
3 2 2
3 3 3
3 3 0
3 1 1
10 6
2 2 0
0 1 0
2 2 2
0 1 2
1 1 0
0 1 1
0 2 1
1 0 0
1 2 0
2 0 2
10 4
1 2 2
2 1 2
2 2 0
1 0 2
1 1 2
2 0 0
1 1 1
1 0 0
0 2 2
0 1 1
10 9
2 0 1
1 0 2
2 0 0
2 0 2
1 1 1
1 0 1
2 2 0
2 1 1
1 1 0
1 1 2
10 8
1 0 0
1 2 1
0 0 2
1 1 0
0 1 2
2 2 1
1 1 1
1 0 1
2 1 0
2 1 2
10 8
0 3 0
2 2 0
2 1 2
3 3 1
1 2 1
3 1 2
3 3 3
3 1 0
2 3 3
1 1 3
10 5
1 1 0
1 2 0
2 0 2
2 1 0
0 1 3
0 3 2
1 1 3
2 0 1
2 3 2
1 1 1
10 9
2 0 3
3 3 0
3 0 3
2 1 2
2 3 3
1 3 2
2 2 1
1 1 0
3 2 3
3 0 2
10 4
1 1 0
2 1 0
0 2 0
2 2 1
2 0 0
2 0 2
0 0 2
1 2 2
2 2 2
2 1 1
10 4
2 1 2
2 1 0
1 1 0
1 1 1
0 2 2
2 0 1
2 2 1
0 0 0
0 2 0
1 1 2
10 6
0 0 0
1 2 0
1 2 2
0 0 1
2 1 2
2 0 2
0 2 1
1 1 1
1 0 0
0 0 2
10 4
1 2 3
2 3 2
0 3 2
2 2 3
2 2 1
0 0 2
2 2 2
0 3 0
1 2 2
0 0 1
10 9
1 1 3
2 0 2
3 1 3
0 0 1
3 3 3
0 0 2
1 2 3
3 3 0
0 1 3
2 2 3
10 7
1 1 0
1 0 1
2 1 2
1 0 2
0 1 0
1 0 0
0 1 2
1 2 2
1 1 2
2 1 0
10 6
0 1 1
0 0 1
0 2 2
0 1 0
1 2 0
1 2 1
0 0 2
0 0 0
0 2 0
2 2 0
10 3
1 3 1
0 2 2
2 2 3
1 0 2
2 2 0
3 3 2
3 0 0
1 2 2
2 3 3
3 0 3
10 7
3 0 0
0 1 1
3 0 1
2 3 1
3 2 0
3 0 3
2 0 2
0 3 1
1 1 1
1 1 0
10 2
1 1 0
0 3 0
2 0 0
1 2 0
0 0 2
0 0 1
1 1 3
3 2 3
3 2 1
1 3 3
10 2
0 1 1
2 1 1
2 1 0
1 2 1
1 0 1
1 1 2
1 0 2
0 0 1
2 2 0
0 2 0
10 4
2 3 3
1 0 0
1 1 2
2 2 2
1 3 1
1 1 1
0 2 0
3 2 1
2 2 1
1 2 3
10 7
1 0 1
2 0 2
1 2 2
0 1 2
0 0 1
2 2 2
2 0 0
0 2 2
2 0 1
0 2 0
10 6
1 1 2
1 0 0
2 0 2
2 1 0
2 1 2
2 1 1
0 0 0
0 2 0
0 2 2
2 2 2
10 7
0 1 3
0 1 0
2 0 2
3 1 2
2 1 2
3 0 0
0 0 0
2 3 3
0 0 3
1 0 3
10 4
2 1 1
0 0 0
1 3 3
2 3 3
2 2 1
2 2 3
3 1 1
3 1 2
0 1 2
3 2 0
10 7
1 1 1
2 1 0
2 0 2
0 1 0
2 2 2
1 1 2
1 0 1
1 1 0
1 2 2
0 1 1
10 5
1 1 0
1 1 2
2 2 1
1 2 2
2 0 0
2 2 2
0 1 1
1 1 1
1 0 1
0 1 2
10 9
2 3 0
2 2 0
3 0 1
3 2 3
2 0 3
2 0 2
1 0 3
1 3 2
2 2 1
1 2 1
10 7
2 2 0
1 1 2
1 1 0
1 0 2
1 1 1
2 2 1
2 0 0
2 0 1
2 0 2
0 1 2
10 7
1 0 0
2 2 1
1 0 2
1 1 1
2 2 2
2 1 2
1 2 1
2 0 2
0 2 2
0 0 1
10 9
0 0 0
1 0 3
0 0 3
0 0 1
3 0 0
1 0 0
0 2 2
1 2 3
0 3 2
3 2 2
10 2
0 2 1
1 1 3
3 0 3
1 3 3
1 2 1
0 0 3
0 1 1
2 3 3
2 3 1
0 2 3
10 6
0 2 2
1 1 1
2 2 1
2 0 0
0 1 2
1 2 2
0 1 1
2 1 2
2 0 1
1 2 0
10 8
2 2 0
2 2 2
2 0 0
1 2 2
0 2 2
0 2 0
2 2 1
1 0 1
1 2 1
0 1 2
10 2
0 2 1
2 1 1
1 0 2
2 0 0
1 1 2
2 0 1
0 0 2
0 2 0
0 0 0
0 1 2
10 2
0 2 0
2 1 2
1 2 3
3 0 3
2 0 0
3 2 1
1 1 2
1 2 0
3 1 0
0 1 0
10 6
2 0 1
0 2 2
1 1 2
1 0 2
0 0 1
1 0 1
1 2 1
1 2 0
0 1 0
2 1 1
10 9
1 1 0
0 2 2
1 2 0
0 2 1
2 2 2
2 0 2
2 1 0
1 0 1
0 0 2
2 2 0
10 7
3 2 3
0 3 2
2 1 1
0 1 1
2 0 1
3 2 0
2 1 3
1 0 2
1 3 1
1 2 1
10 3
2 1 0
0 2 1
2 2 1
0 1 1
2 2 2
2 0 0
0 0 0
1 1 2
2 1 2
2 0 2
10 4
1 0 3
2 3 1
0 1 2
2 1 2
1 1 1
1 2 3
2 3 2
1 2 0
1 2 2
0 2 0
10 6
2 0 2
0 0 0
1 0 0
0 2 2
0 1 0
1 1 0
2 2 1
1 1 2
0 1 2
2 1 1
10 9
0 1 1
2 1 2
1 0 0
0 0 1
2 2 2
0 2 1
0 2 2
2 0 0
2 2 1
2 0 2
10 8
1 0 1
0 0 2
2 0 1
1 0 2
1 1 3
0 3 3
3 3 3
1 2 2
1 0 3
0 2 1
10 8
2 1 3
2 0 2
3 0 2
3 3 2
1 1 3
3 3 0
2 2 3
1 2 3
2 3 0
2 3 2
10 8
0 2 2
2 1 1
1 1 2
2 1 0
2 0 0
0 1 2
1 2 0
0 2 0
1 2 1
2 0 2
10 2
0 0 2
1 1 2
1 1 1
1 2 0
0 2 0
1 2 2
0 2 1
0 0 0
2 2 1
0 1 0
10 9
2 2 1
3 3 3
1 0 3
0 1 3
1 2 1
2 3 3
1 3 0
0 3 0
0 2 2
3 1 2
10 6
1 1 2
0 0 0
1 0 0
3 2 0
2 0 3
0 0 2
0 1 0
0 2 2
2 3 3
0 0 3
10 2
2 0 0
1 0 2
2 2 1
2 1 0
0 2 0
1 1 2
1 2 0
1 2 2
0 1 1
1 0 0
10 7
1 1 1
2 1 0
1 2 2
2 0 0
0 2 0
2 1 1
2 1 2
1 2 0
0 2 2
0 0 2
10 6
1 1 1
2 1 2
1 2 1
0 0 1
1 2 0
2 2 0
3 1 2
0 1 1
3 0 0
2 2 2
10 3
2 1 1
3 2 2
0 2 3
0 2 2
2 3 0
2 0 1
3 0 1
1 2 3
3 3 0
2 1 2
10 4
1 2 1
3 0 1
2 2 3
0 2 3
2 0 0
2 1 0
3 1 0
2 3 2
2 0 3
1 2 3
10 2
0 2 1
1 1 1
2 1 1
2 0 2
1 1 0
0 1 0
0 0 2
1 1 2
1 2 1
2 1 0
10 4
2 2 0
1 1 1
2 1 1
0 2 1
1 1 0
0 2 0
0 2 2
1 0 0
2 0 1
1 2 1
10 7
0 2 2
1 0 2
0 0 0
1 1 0
0 0 2
0 0 1
2 2 0
1 2 0
0 1 0
2 0 2
10 4
2 0 2
1 1 1
0 0 2
1 1 2
0 2 1
0 1 1
2 1 0
1 2 2
2 2 1
1 2 1
10 6
2 0 3
1 0 3
2 0 1
1 2 0
0 2 3
3 0 1
2 1 1
2 2 3
3 3 3
3 3 2
10 5
1 0 2
1 1 2
2 0 2
2 1 1
0 2 1
2 2 0
2 2 2
0 2 0
2 1 2
1 2 0
10 2
1 2 1
0 2 0
1 1 2
0 2 2
0 1 1
1 2 0
1 1 0
1 0 2
2 0 2
1 0 0
10 5
2 1 0
0 2 2
0 1 0
2 0 2
0 0 1
1 2 1
1 1 0
2 0 1
1 2 2
1 0 0
10 9
0 3 2
2 2 2
2 0 0
3 1 1
0 2 2
0 0 2
2 3 3
3 3 3
1 3 3
0 2 0
10 2
2 0 3
2 2 2
1 0 1
0 2 0
2 2 1
0 1 3
2 0 1
2 3 0
3 0 3
1 2 0
10 5
1 2 1
2 0 1
1 0 1
1 2 2
2 2 2
0 1 1
0 2 1
1 1 2
0 1 2
0 1 0
10 4
3 2 3
1 3 1
2 0 2
3 1 1
3 3 2
1 1 1
0 0 2
0 2 1
0 0 0
0 1 2
10 6
0 1 0
3 2 3
3 0 3
2 2 3
3 2 1
1 2 0
1 1 0
1 3 1
2 1 1
3 0 0
10 8
3 0 3
0 3 0
3 0 1
3 0 0
2 0 1
2 2 0
3 1 0
1 3 1
2 1 1
3 3 1
10 2
1 3 0
0 3 0
0 2 3
3 0 1
1 0 3
2 2 1
1 3 2
3 2 3
0 2 0
0 1 2
10 9
3 0 0
2 3 3
1 2 0
0 1 2
2 0 1
2 0 0
1 3 1
0 3 3
2 2 0
2 0 3
10 6
2 2 0
2 3 0
0 1 2
1 0 0
1 1 0
1 0 1
2 0 0
3 0 3
1 3 3
1 1 2
10 6
1 0 0
2 1 2
2 0 2
0 0 0
2 2 0
1 1 1
0 1 1
1 0 1
2 0 1
0 2 2
10 8
1 1 0
1 0 1
2 2 0
2 2 2
0 1 0
0 1 1
0 2 2
2 0 1
0 1 2
2 0 2
10 4
2 2 2
0 3 2
0 0 3
3 0 0
1 3 0
3 1 1
2 2 0
0 1 3
3 0 3
0 2 0
10 9
2 2 2
2 0 1
1 0 0
0 1 0
2 2 0
1 0 1
1 2 1
1 2 0
1 1 1
2 0 0
10 2
3 2 0
1 1 3
2 3 2
1 3 2
3 1 2
0 1 1
2 3 3
3 1 1
2 0 2
0 2 1
10 3
1 2 0
2 0 3
1 3 3
0 2 1
0 0 1
3 0 3
3 2 0
2 0 1
1 0 3
1 3 2
10 6
3 0 1
3 1 0
1 1 1
3 1 1
1 3 1
1 2 2
3 3 3
0 0 2
1 0 3
2 1 3
10 7
2 1 1
0 2 2
0 0 2
1 2 1
1 2 0
0 1 2
2 2 1
2 0 2
1 0 0
0 0 1
10 7
2 2 0
2 0 1
1 1 0
2 0 0
0 1 2
0 1 1
0 2 2
1 0 1
1 0 0
1 2 1
10 4
1 1 2
0 1 1
1 2 0
2 1 1
2 0 0
0 2 0
2 2 0
0 1 0
0 0 1
0 0 0
10 8
2 2 1
2 0 1
1 0 1
0 1 0
2 0 2
2 2 0
2 1 2
1 0 0
0 0 0
0 0 2
10 4
2 1 1
2 2 0
0 1 0
1 0 1
0 0 2
0 2 1
2 1 2
0 2 2
2 0 2
0 1 2
10 3
0 0 2
3 0 3
3 2 0
3 0 2
2 1 0
1 1 3
2 3 0
1 2 2
0 0 0
0 0 1
10 5
1 2 2
1 0 1
1 1 0
0 0 0
0 1 1
1 1 1
0 0 1
2 1 0
0 2 2
2 2 2
10 2
1 2 2
0 1 3
3 1 0
2 0 3
1 0 0
3 3 2
0 2 3
0 2 2
3 0 2
1 1 0
10 4
1 2 1
0 1 0
1 1 2
0 0 0
1 0 1
0 1 2
0 0 2
2 2 1
1 2 2
1 2 0
10 5
0 1 3
1 3 2
0 0 1
2 1 0
1 0 0
1 3 0
2 1 3
1 1 2
2 1 1
2 2 3
10 4
1 2 2
2 2 0
2 2 1
0 0 0
1 0 0
0 1 1
0 2 1
0 2 2
2 2 2
0 1 0
10 4
1 2 0
3 0 2
1 0 2
2 3 3
1 2 1
0 1 2
2 3 1
1 0 0
1 3 1
3 2 3
10 4
0 2 0
1 1 2
2 2 1
1 2 0
2 0 1
1 0 1
2 0 0
1 1 1
1 1 0
1 0 0
10 8
2 2 0
1 0 0
0 1 2
0 2 1
2 0 0
0 1 1
1 2 0
2 1 1
2 2 1
2 1 0
10 4
0 2 0
0 0 2
2 2 2
2 0 0
0 0 1
1 2 1
2 0 2
1 2 0
0 1 1
2 0 1
10 5
2 0 1
0 2 1
2 1 1
1 0 2
0 2 2
2 2 1
1 0 1
2 1 2
0 0 2
0 1 2
10 5
0 0 0
3 0 2
3 2 0
2 2 0
2 3 3
0 1 2
3 1 3
2 0 1
0 0 2
3 2 2
10 6
0 0 2
1 1 0
1 0 1
0 0 0
2 0 0
2 2 2
1 1 3
3 0 1
2 1 2
2 0 3
10 6
0 1 1
2 2 1
2 0 2
2 2 0
0 1 0
0 0 1
1 1 0
2 2 2
1 0 1
0 2 1
10 7
1 3 3
0 0 0
1 2 2
2 1 3
2 2 1
0 3 3
0 3 1
2 3 1
2 3 3
1 1 3
10 4
0 1 0
0 2 0
0 1 2
2 1 2
2 2 0
1 1 1
2 2 2
2 1 0
0 0 1
1 0 0
10 9
2 1 0
0 0 3
2 0 1
3 2 1
3 3 2
0 2 1
2 2 1
3 2 2
2 0 3
0 2 2
10 2
3 1 1
3 3 3
3 0 1
0 1 3
3 3 1
2 1 1
0 3 0
1 0 2
1 0 3
2 2 0
10 2
1 1 2
2 2 2
0 1 1
0 2 0
1 2 1
1 2 2
0 0 1
1 0 2
1 1 1
1 0 1
10 5
1 0 2
2 0 2
0 1 1
0 1 2
2 1 0
2 0 0
1 0 0
2 1 1
2 0 1
2 2 2
10 8
0 3 2
1 3 3
3 1 2
2 1 1
1 2 3
1 3 2
2 2 0
1 3 0
2 3 1
2 1 3
10 9
2 2 2
1 3 3
2 0 3
3 3 1
1 2 2
0 3 1
0 2 2
2 2 1
3 2 2
2 1 2
10 4
1 1 2
2 1 1
2 2 2
1 1 0
2 2 1
2 1 2
1 2 1
0 1 0
0 1 1
0 2 0
10 5
1 2 2
0 2 1
0 0 0
1 0 2
1 2 0
2 1 2
1 1 2
2 0 0
1 0 0
2 0 2
10 8
1 0 2
2 1 2
2 1 0
1 2 1
0 2 0
2 0 1
0 0 1
0 0 2
0 0 0
0 1 1
10 3
0 1 0
2 2 0
0 1 2
1 1 0
1 1 1
0 0 0
2 2 2
2 1 1
0 0 1
1 1 2
10 9
2 0 2
0 0 0
0 0 2
1 2 2
0 1 2
0 2 0
1 0 1
2 1 2
0 1 1
0 2 2
10 5
1 1 1
2 1 2
2 0 0
2 2 0
1 2 1
2 1 1
0 0 2
2 0 1
2 0 2
0 0 0
10 8
1 1 0
2 0 2
1 0 2
2 1 1
1 2 0
1 0 0
1 1 2
0 2 2
0 0 1
2 2 2
10 9
1 2 0
1 1 1
1 0 2
1 0 0
2 0 0
1 1 2
2 0 2
1 2 2
0 0 0
0 2 0
10 6
0 0 1
0 2 2
0 1 0
0 0 0
2 1 1
1 1 0
0 2 1
2 2 2
1 0 0
1 2 2
10 5
3 2 2
0 2 0
2 2 2
2 3 0
1 0 0
2 1 1
3 1 1
2 0 2
1 2 1
1 1 2
10 8
2 0 2
1 2 0
0 0 2
2 0 1
1 0 2
2 2 1
1 0 0
0 0 0
2 2 0
0 2 1
10 4
0 1 2
2 2 1
0 2 2
1 0 2
2 2 0
1 2 2
0 1 1
0 2 0
0 2 1
0 0 0
10 9
0 0 2
2 1 2
2 2 2
0 0 0
1 2 2
2 0 2
2 0 0
1 1 0
2 1 1
0 2 2
10 8
1 0 2
1 2 2
1 2 1
0 1 1
2 2 2
1 1 0
2 0 2
0 1 0
2 2 1
0 1 2
10 8
3 2 3
0 2 2
0 0 3
2 0 0
2 1 1
2 3 1
1 1 0
2 1 2
2 3 0
1 3 3
10 9
3 3 3
3 1 2
0 0 1
3 0 2
2 3 2
0 0 3
2 2 1
3 3 1
1 1 0
1 1 1
10 8
0 3 1
2 1 3
2 3 1
1 2 0
3 2 2
1 1 3
3 3 0
2 1 2
1 1 2
2 2 3
10 4
1 1 2
1 0 0
1 1 0
2 2 0
1 2 2
1 1 1
2 1 1
1 2 1
0 0 0
2 2 2
10 4
1 0 3
1 2 1
3 0 3
1 1 3
3 1 0
0 3 0
0 1 0
1 0 2
2 0 0
2 2 0
10 8
2 2 2
0 0 3
2 2 3
0 0 1
0 1 2
0 2 0
3 0 0
1 0 1
1 1 2
0 0 0
10 6
2 2 0
1 1 1
1 1 0
1 0 2
1 0 1
2 0 0
1 0 0
0 0 0
2 1 0
2 1 1
10 8
1 2 3
0 1 1
0 1 0
3 2 3
0 1 3
0 3 3
2 3 3
2 3 2
1 0 2
1 0 3
10 3
2 1 1
0 1 0
0 0 2
1 0 2
2 0 1
0 1 2
2 0 0
0 0 0
1 1 2
2 2 1
10 6
2 1 0
1 2 0
0 2 2
1 0 1
0 1 0
0 2 1
0 1 1
1 1 2
2 0 0
0 0 2
10 9
2 2 1
2 0 2
0 1 1
2 1 1
2 2 2
1 1 2
1 2 2
0 2 0
2 1 2
0 2 1
10 7
1 2 1
0 1 2
0 2 2
1 0 2
1 1 0
1 0 1
2 0 2
2 1 1
0 1 1
1 0 0
10 8
3 0 1
0 1 2
2 0 1
0 0 1
2 1 0
0 2 3
2 2 0
1 2 3
3 0 0
0 2 0
10 4
1 2 1
1 2 0
2 2 1
0 0 0
0 1 2
0 0 1
1 0 0
2 1 2
2 2 0
0 1 0
10 8
0 1 2
2 1 0
1 1 3
3 3 1
0 0 1
3 2 1
0 2 0
0 0 2
1 3 1
2 0 1
10 5
1 2 2
1 1 2
1 0 0
2 0 1
2 0 2
2 0 0
2 2 2
2 1 1
0 2 1
0 1 1
10 5
1 1 1
2 1 0
2 0 0
1 2 0
1 1 2
0 2 1
2 2 1
1 2 1
1 0 2
0 0 2
10 7
0 1 0
0 2 1
1 1 1
0 2 2
0 2 0
1 2 0
2 0 0
2 2 2
2 1 2
2 1 0
10 5
1 0 2
2 1 0
1 1 2
0 0 1
0 1 2
1 2 2
0 2 2
2 2 1
1 2 1
1 2 0
10 2
1 2 1
2 1 0
1 1 0
0 0 2
0 2 2
1 0 1
0 0 0
2 0 1
0 1 0
2 0 2
10 5
2 0 3
1 3 3
1 0 2
3 0 1
3 1 1
2 2 2
0 2 3
3 0 3
0 2 2
1 3 1
10 8
0 0 0
1 2 3
2 3 2
1 3 0
3 2 2
2 3 3
1 1 3
2 2 3
1 2 0
1 0 2
10 3
2 1 3
3 2 3
1 0 1
2 3 3
0 2 0
2 2 2
0 0 3
2 1 0
3 1 0
1 1 1
10 3
3 0 3
1 1 1
2 2 2
3 1 2
0 1 1
2 2 3
1 1 3
2 1 1
1 3 2
0 3 3
10 5
2 2 2
2 0 1
0 1 2
1 0 1
0 0 2
2 0 0
2 2 1
0 2 2
2 0 2
0 0 0
10 3
2 1 2
1 2 0
2 0 0
0 2 1
0 1 2
0 0 2
1 0 2
1 1 0
1 0 1
0 2 2
10 6
3 2 2
3 3 3
2 2 1
0 1 3
3 1 2
0 0 1
1 2 1
2 1 2
1 3 3
2 1 0
10 5
2 2 1
2 1 2
2 0 1
1 0 2
2 2 2
1 1 2
1 1 0
0 2 0
0 0 1
0 2 1
10 9
1 2 0
1 1 3
1 2 2
3 3 0
0 2 3
3 0 1
0 3 1
2 1 3
1 3 2
1 0 1
10 4
0 1 0
0 1 1
1 1 1
1 3 0
1 2 0
1 2 3
1 3 2
3 3 0
2 2 0
1 1 2
10 4
2 0 2
1 0 0
0 2 3
2 0 1
3 1 1
0 0 0
1 1 1
2 1 3
1 0 2
2 3 1
10 9
2 1 1
1 1 0
2 1 2
0 2 2
0 2 1
2 0 0
1 1 1
1 0 0
2 0 1
1 2 1
10 6
0 0 2
1 0 2
1 0 1
1 2 1
0 2 0
2 1 0
0 0 1
0 1 2
2 0 2
1 0 0
10 9
1 1 1
3 1 3
2 0 3
1 0 3
2 2 2
1 2 1
2 0 0
0 2 3
1 1 2
1 0 1
10 4
0 3 1
1 2 2
3 1 0
0 2 3
3 1 2
1 0 2
1 0 1
1 2 3
3 3 1
3 0 3
10 9
2 2 1
0 2 0
1 2 2
2 0 0
0 2 1
0 1 1
2 1 1
2 0 2
0 1 2
1 2 0
10 9
2 0 2
0 2 1
0 0 2
2 2 1
1 0 1
0 2 0
1 0 2
2 2 0
1 0 0
1 1 1
10 8
1 0 0
2 2 2
3 2 1
2 0 0
1 0 3
0 3 2
2 1 2
2 3 0
0 1 0
2 0 3
10 6
2 1 1
3 0 0
0 3 3
3 3 0
3 2 3
0 2 2
1 0 3
0 1 0
0 3 2
3 2 2
10 5
3 0 0
3 1 1
1 1 3
2 0 2
1 3 2
0 3 3
3 1 3
2 3 0
3 2 3
3 3 0
10 4
0 0 1
2 2 2
1 2 0
0 2 2
0 1 2
2 0 0
0 0 0
0 1 1
2 2 0
1 2 1
10 3
0 3 1
2 1 0
2 3 1
0 0 2
3 3 3
3 0 3
2 2 0
0 2 0
0 3 0
3 3 1
10 7
0 0 2
3 2 1
0 0 3
1 2 0
1 3 0
1 0 3
1 3 1
2 3 3
0 1 3
2 0 1
10 8
0 2 2
2 2 0
0 0 1
1 2 1
2 1 0
2 2 1
1 0 2
2 0 1
2 0 0
1 0 0
10 2
1 3 2
3 3 0
1 0 2
3 2 2
1 0 3
0 1 3
3 2 3
0 1 0
3 1 0
0 3 3
10 2
1 0 2
2 0 1
2 2 0
1 1 0
1 1 2
0 0 1
1 2 0
2 2 2
2 0 0
0 1 1
10 6
2 0 0
0 1 0
1 2 2
0 0 0
2 2 2
0 2 1
1 2 0
0 2 0
2 1 0
1 1 0
10 3
0 0 0
0 2 0
1 2 2
2 1 1
0 2 1
2 2 2
0 1 1
2 0 0
1 2 0
0 0 1
10 2
2 2 3
3 2 1
1 2 2
1 3 3
0 2 1
2 3 1
3 2 0
0 0 0
2 1 0
3 1 1
10 2
2 1 2
3 2 1
1 1 2
1 3 2
0 3 2
1 1 3
1 2 1
3 0 3
2 0 0
3 3 0
10 3
0 2 0
3 3 3
3 2 0
2 0 2
3 3 1
0 2 1
0 0 0
2 3 2
2 2 3
3 2 2
10 3
1 0 2
3 3 0
2 1 2
0 0 3
1 0 3
1 0 1
2 2 1
0 2 0
0 1 3
0 3 3
10 4
3 3 1
0 0 2
0 0 0
3 1 1
2 1 0
1 0 3
2 0 3
0 1 1
0 1 0
3 2 3
10 3
0 3 3
2 1 2
0 2 0
3 2 1
0 2 2
2 3 1
1 2 2
1 3 3
2 1 1
0 2 3
10 5
0 1 1
0 1 0
0 0 2
2 2 0
0 0 0
0 2 0
0 2 2
2 2 1
1 0 0
2 1 1
10 8
3 1 1
2 2 3
1 1 2
1 3 3
3 3 3
3 1 3
0 2 1
3 2 2
1 0 2
2 0 2
10 7
1 1 1
0 1 0
2 1 0
0 0 1
2 1 1
0 1 1
0 0 0
0 2 0
1 2 0
1 1 0
10 4
0 0 3
2 3 0
0 1 3
0 1 1
1 1 2
1 2 2
0 1 2
1 3 0
0 3 0
3 1 1
10 3
0 2 2
0 1 0
0 2 1
1 2 0
0 1 2
0 2 0
0 0 0
1 1 2
1 2 2
1 0 1
10 5
2 1 2
1 0 0
1 1 0
2 2 0
2 0 2
0 0 2
2 1 1
0 2 2
1 2 2
1 2 0
10 2
0 0 2
2 0 2
1 0 2
2 1 1
0 2 0
0 1 1
0 0 1
1 0 0
0 2 2
1 0 1
10 8
2 0 0
2 2 1
1 3 2
2 0 1
1 2 0
0 2 1
2 1 0
3 2 2
3 3 1
1 0 1
10 8
1 2 1
2 2 2
2 0 0
2 1 2
2 1 0
2 0 2
2 2 0
1 1 2
0 2 2
1 0 0
10 7
0 1 3
1 3 3
0 0 0
0 2 0
2 3 3
0 3 0
1 1 0
2 2 1
0 1 2
3 1 0
10 6
1 1 3
0 3 1
2 0 2
1 2 3
2 3 1
0 3 2
0 2 3
0 3 0
3 3 0
1 3 3
10 9
1 1 3
0 1 2
1 0 0
3 3 3
3 2 0
0 3 3
0 1 1
0 3 1
0 0 2
1 1 2
10 6
2 0 0
1 1 1
0 1 1
2 2 1
1 1 0
1 1 2
2 0 1
0 0 2
0 1 2
0 0 1
10 5
1 1 2
1 0 2
0 0 2
2 0 1
0 0 0
1 0 1
1 2 0
2 2 2
2 0 2
1 1 0
10 2
1 1 1
1 1 3
3 1 1
3 3 2
1 0 0
0 1 1
2 0 3
3 2 2
0 2 2
1 3 0
10 6
2 3 0
1 0 2
3 0 1
1 2 1
1 1 2
0 3 3
2 2 3
2 1 1
0 3 0
3 1 3
10 6
3 2 1
2 1 3
1 1 0
2 2 2
1 2 0
1 1 2
3 0 1
2 1 2
0 3 2
1 3 2
10 7
1 1 0
0 0 2
2 1 1
2 1 2
1 2 2
1 0 1
2 1 0
0 0 0
1 0 0
0 2 1
10 5
0 1 0
2 1 1
1 2 1
2 1 2
2 0 2
0 2 0
0 0 2
0 2 2
0 1 1
2 0 1
10 7
2 3 2
3 0 2
1 1 2
2 0 3
1 1 3
2 0 1
0 2 2
0 0 2
0 0 3
2 0 0
10 3
0 2 3
1 2 2
3 3 1
1 1 3
1 0 3
1 2 1
2 2 3
3 2 0
2 0 1
2 0 3
10 9
1 0 2
2 2 2
2 2 0
0 2 0
2 1 2
0 2 1
1 0 1
0 1 0
2 0 0
0 0 1
10 2
0 1 2
0 0 1
2 0 0
0 1 1
2 0 2
1 2 1
2 1 1
2 0 1
1 0 0
1 0 2
10 6
3 0 2
2 0 2
2 2 2
0 2 3
1 1 3
3 0 3
1 3 1
0 2 1
3 3 3
1 0 1
10 4
0 1 1
0 0 1
1 1 2
2 0 2
0 2 2
1 1 1
2 0 0
1 0 0
0 1 0
1 2 2
10 4
0 2 0
2 2 1
2 2 3
2 2 0
0 0 2
0 2 1
1 1 2
2 1 0
2 2 2
2 1 3
10 7
0 3 3
0 1 1
3 2 0
1 1 3
3 1 0
2 1 1
0 3 2
2 1 3
3 0 3
3 3 2
10 9
0 0 0
2 0 1
2 2 1
1 1 2
1 1 0
2 0 2
1 2 0
0 1 0
0 2 0
2 0 0
10 3
2 2 2
0 0 1
0 2 1
0 0 2
1 1 0
0 2 2
2 0 1
2 0 2
2 1 0
1 0 0
10 6
3 1 2
0 2 2
1 2 1
0 1 3
3 3 2
2 3 0
2 0 0
3 0 2
0 0 2
1 0 0
10 5
1 3 1
3 2 1
3 1 3
3 2 3
0 1 0
3 2 0
1 0 0
2 3 2
0 3 3
0 2 3
10 7
1 2 0
2 1 0
2 0 2
2 1 2
1 0 0
1 0 2
1 0 1
2 2 0
1 1 1
0 2 1
10 3
0 3 1
2 3 1
2 2 2
1 1 1
3 3 0
3 3 1
2 0 0
3 0 1
0 0 2
2 1 1
10 4
3 0 3
3 2 0
0 2 1
2 1 3
2 1 0
0 1 2
3 2 3
0 1 1
3 3 1
3 1 3
10 5
1 2 1
2 0 1
1 0 0
2 0 2
0 2 1
1 0 2
1 1 1
2 1 2
0 1 2
1 0 1
10 6
2 0 0
2 0 2
2 0 1
1 2 1
0 1 1
0 1 2
1 2 2
0 0 0
1 0 1
2 1 1
10 4
1 0 1
1 0 2
1 1 1
1 2 1
2 1 0
2 1 2
1 1 0
0 0 0
0 1 0
0 2 1
10 3
1 0 0
3 2 3
2 2 2
3 0 1
2 0 1
3 0 2
3 3 2
1 0 1
0 1 0
2 1 0
10 2
0 1 2
3 1 3
3 3 3
2 3 2
2 1 3
2 2 3
1 2 2
3 3 1
1 3 0
1 3 2
10 8
3 3 3
0 1 2
3 2 3
3 0 3
2 3 2
3 2 1
3 1 2
3 0 0
2 1 3
3 2 0
10 3
1 1 3
2 0 2
1 0 1
1 0 0
2 0 1
3 1 0
0 3 0
2 1 3
0 1 0
0 0 1
10 8
2 1 0
2 0 1
0 2 0
1 1 1
2 1 1
1 2 1
1 2 0
0 1 2
2 0 0
2 2 2
10 4
2 1 3
1 3 3
2 1 2
1 2 1
1 3 0
2 0 1
3 0 1
3 2 1
3 1 2
2 3 2
10 6
2 0 0
1 0 1
0 0 1
1 1 0
2 2 0
0 1 2
1 2 1
0 2 0
0 1 1
1 1 1
10 5
2 2 1
2 1 2
0 0 1
2 0 0
1 0 1
2 0 1
0 0 0
0 2 2
0 1 0
2 2 0
10 5
3 3 1
0 1 3
1 1 2
2 1 2
1 1 3
1 3 0
3 2 0
1 3 3
3 1 0
3 0 2
10 6
2 0 1
1 2 2
1 2 1
2 0 0
1 1 0
1 2 0
0 1 0
2 0 2
0 1 2
0 0 0
10 4
3 0 1
1 0 2
1 3 0
3 2 2
0 2 3
2 2 2
1 3 3
2 3 2
3 0 2
2 2 3
10 7
0 1 2
2 2 2
1 2 1
1 1 1
2 1 0
0 1 0
0 0 2
2 1 1
0 0 0
2 0 1
10 7
1 1 2
1 2 1
2 1 0
1 2 2
0 2 0
0 0 2
0 0 1
2 2 0
1 1 0
0 2 2
10 5
2 2 3
2 1 0
1 0 2
0 1 2
3 3 3
0 1 0
0 3 1
3 1 0
2 2 2
0 3 0
10 7
2 0 2
1 2 0
2 1 1
2 0 1
1 0 1
0 1 0
0 0 2
2 1 2
1 1 0
1 2 1
10 6
1 1 1
1 3 0
3 1 1
1 3 1
0 1 3
1 0 1
3 3 1
3 0 1
1 2 0
1 2 1
10 5
0 2 1
1 2 2
0 1 1
2 1 1
2 2 1
3 3 1
3 3 3
2 1 3
0 0 0
3 0 1
10 9
0 2 2
0 0 2
0 0 0
2 1 1
1 0 2
2 1 2
1 1 1
1 0 1
1 0 0
1 1 2
10 7
1 3 1
0 2 0
0 0 1
3 1 2
1 0 2
2 0 0
1 0 3
0 3 2
2 2 1
1 1 0
10 9
1 0 0
2 1 2
0 1 2
0 1 0
0 3 3
2 3 1
2 2 3
0 2 2
2 2 0
0 0 1
10 2
1 0 1
0 0 0
0 1 0
2 0 0
0 0 2
0 0 1
1 1 2
1 1 1
1 1 0
2 1 2
10 3
2 3 1
1 1 0
3 1 0
2 0 3
0 2 2
0 2 0
1 1 1
3 2 1
1 3 1
0 1 3
10 3
2 0 1
0 2 0
1 2 2
0 1 2
1 1 1
1 1 2
2 0 0
1 2 0
0 1 1
2 1 2
10 2
1 0 1
1 1 0
2 2 1
2 2 2
1 2 0
2 0 0
1 2 2
1 0 0
0 2 2
2 0 1
10 6
1 3 2
3 2 1
3 2 2
0 0 0
2 0 3
2 0 1
3 1 1
1 1 0
1 2 3
1 3 0
10 6
1 1 1
1 0 1
0 0 0
0 2 0
0 0 2
2 1 1
0 1 1
2 0 2
2 2 2
0 0 1
10 3
3 1 0
3 3 2
1 3 0
3 2 0
2 1 0
2 0 0
0 0 0
1 1 1
0 3 0
2 0 2
10 7
2 1 0
2 2 0
1 0 0
0 2 0
1 1 2
1 0 2
1 2 1
0 1 0
2 2 1
2 1 2
10 5
1 0 3
1 3 0
1 0 2
0 2 2
3 1 2
1 2 3
2 3 2
1 1 2
2 1 3
1 0 1
10 3
1 1 0
3 1 0
2 0 2
2 2 3
0 3 3
2 0 1
3 1 3
1 1 2
3 3 1
2 1 1
10 9
2 2 2
2 0 1
0 0 2
2 2 1
1 0 1
0 1 1
2 0 2
1 1 1
1 1 2
1 2 2
10 7
0 2 1
3 1 0
2 1 3
0 1 1
1 0 2
2 3 2
1 2 2
1 2 3
3 3 2
0 2 3
10 2
2 2 2
0 2 2
1 2 2
2 1 2
0 0 2
0 0 0
2 2 1
1 1 0
1 0 1
1 0 0
10 9
1 1 1
0 3 3
1 0 1
1 0 2
1 1 2
1 1 3
2 0 0
0 0 3
3 3 0
0 2 1
10 2
2 0 1
2 2 3
2 1 1
3 3 3
2 3 2
3 0 1
2 2 1
3 3 0
3 0 0
0 1 3
10 2
0 3 0
3 2 1
3 3 0
3 0 2
0 1 0
2 2 1
0 3 2
3 3 2
1 2 0
2 0 1
10 2
0 2 0
0 1 2
2 2 1
0 0 2
1 0 0
1 1 0
1 2 1
0 1 1
2 2 0
2 2 2
10 2
2 1 1
3 3 1
3 2 1
2 2 0
3 1 0
0 0 3
1 2 2
3 0 1
1 1 3
2 0 1
10 2
0 0 0
2 2 0
2 1 1
1 2 0
2 2 2
0 1 1
1 2 2
2 0 1
0 0 2
2 1 2
10 3
1 0 2
1 1 0
1 1 3
1 2 0
0 3 0
2 2 0
1 1 1
3 1 3
2 2 1
2 3 1
10 8
0 1 3
0 3 2
2 0 0
1 1 1
3 3 1
3 2 2
1 0 1
1 3 3
2 2 1
1 3 0
10 8
0 2 0
1 2 1
1 1 1
2 0 2
0 1 0
2 2 1
0 1 1
0 2 2
2 0 0
1 2 0
10 5
1 3 3
0 3 2
2 2 1
1 0 2
0 1 1
0 0 2
1 2 2
0 2 2
1 2 0
3 3 1
10 5
2 1 1
1 2 2
2 1 0
0 0 1
1 2 0
0 2 2
1 2 1
0 1 0
2 0 2
0 2 1
10 7
1 3 1
3 3 0
0 0 2
3 2 0
1 3 0
1 0 2
2 3 1
0 2 0
3 3 2
3 3 3
10 5
0 3 3
2 1 1
2 2 1
3 0 3
3 3 2
0 0 1
3 2 0
1 0 1
1 2 0
1 0 3
10 9
3 1 0
2 3 1
3 2 1
0 1 0
2 3 3
1 0 2
1 3 1
2 0 0
0 0 2
2 2 0
10 6
3 3 1
0 2 3
0 2 2
3 3 0
3 3 3
2 3 0
2 2 1
3 0 0
1 1 1
2 0 1
10 2
3 1 1
3 0 2
1 3 2
3 3 1
2 0 2
2 1 3
0 0 2
2 0 0
0 3 0
0 1 1
10 8
0 0 1
0 1 2
0 2 1
1 2 2
1 2 1
1 2 0
0 0 0
0 0 2
2 1 2
2 2 2
10 6
2 2 2
2 0 0
2 2 1
1 2 2
1 1 1
0 0 2
2 0 2
1 0 0
1 0 2
2 1 1
10 8
1 0 0
0 1 0
2 0 2
0 0 2
2 1 1
0 0 0
1 0 1
1 0 2
2 1 0
1 2 0
10 7
2 0 1
0 0 2
1 0 0
1 2 2
1 1 0
2 1 0
0 1 1
0 2 2
1 0 2
0 0 1
10 9
1 1 0
0 1 1
0 1 0
0 1 2
2 2 1
1 0 0
0 0 0
1 1 1
1 1 2
2 1 0
10 9
1 1 2
0 2 2
2 0 0
2 0 2
2 1 0
2 1 2
1 2 1
0 2 1
1 2 2
0 0 0
10 5
2 0 2
2 0 0
0 1 0
0 0 0
1 2 1
1 1 2
2 2 1
2 1 0
1 0 1
0 2 1
10 2
3 0 2
3 2 0
0 0 0
2 0 1
2 1 0
3 0 1
1 2 2
1 3 0
1 1 1
1 1 3
10 6
1 3 2
3 3 1
2 3 3
1 0 1
1 1 2
0 1 2
0 1 0
0 2 2
3 1 1
1 2 3
10 7
3 3 2
2 0 3
3 3 1
3 1 2
1 1 3
0 1 3
1 2 0
3 0 2
0 1 0
2 2 1
10 8
2 2 0
2 1 0
2 1 1
2 0 2
1 1 2
2 2 1
0 2 0
1 2 2
0 0 1
0 1 2
10 3
1 0 1
2 0 0
1 0 0
0 0 0
2 1 1
0 0 2
2 0 2
2 1 0
1 2 2
0 2 2
10 3
1 3 2
3 0 3
0 0 3
2 2 1
2 1 2
3 3 0
3 1 1
3 1 3
0 0 1
1 0 2
10 5
0 0 2
1 3 2
2 0 0
2 0 3
3 2 0
0 1 3
3 0 3
0 3 3
0 3 1
1 0 1
10 2
1 1 2
0 2 3
0 1 1
3 3 3
2 0 3
0 0 3
3 1 3
0 0 1
2 3 0
3 0 3
10 6
1 0 1
0 2 0
0 1 1
2 0 2
0 0 0
0 0 2
1 2 2
0 1 0
2 0 1
1 0 2
10 4
0 0 3
0 3 2
1 0 2
1 3 1
3 3 1
0 1 1
3 1 2
2 0 2
2 1 1
2 3 3
10 2
0 1 2
1 3 0
1 1 3
1 1 0
2 0 0
1 2 2
0 3 2
1 1 1
2 2 1
0 0 2
10 3
0 1 3
3 1 3
3 2 3
0 3 2
2 3 0
3 3 0
3 0 1
3 1 1
1 2 1
0 2 0
10 8
0 1 3
3 2 2
1 3 2
0 2 0
1 0 0
3 3 0
3 1 3
0 1 1
0 3 1
2 0 2
10 4
0 2 2
0 2 0
0 1 0
2 1 2
2 2 1
2 2 2
1 1 0
1 2 1
0 0 1
2 1 1
10 8
1 2 0
0 1 2
1 2 2
0 2 2
1 1 1
0 2 1
0 2 0
1 1 2
2 0 0
1 0 0
10 2
1 1 3
3 1 0
3 1 1
3 2 1
0 1 0
2 2 1
3 1 3
3 2 0
3 3 2
2 3 0
10 5
1 2 1
1 2 2
0 2 2
0 1 1
0 2 0
1 1 0
0 0 1
2 1 0
2 2 0
0 0 2
10 3
1 2 0
2 2 3
0 0 1
0 3 2
2 1 1
0 3 1
1 3 2
0 3 0
1 3 1
2 0 2
10 8
2 2 0
0 1 0
0 2 0
2 1 0
1 1 2
0 0 1
0 1 2
0 0 2
2 0 1
1 2 0
10 2
2 0 3
0 3 1
2 2 0
0 1 1
3 0 1
2 1 2
0 2 1
0 1 0
2 3 1
2 2 1
10 8
0 3 0
2 2 0
1 1 2
2 1 1
0 1 0
0 3 1
2 2 2
1 0 3
3 0 3
3 2 2
10 2
3 0 2
3 3 1
3 1 2
0 1 1
1 2 0
1 2 1
0 1 0
2 3 3
2 3 2
2 2 2
10 3
2 0 0
2 3 2
0 0 3
3 3 0
3 2 1
2 1 3
2 3 0
0 3 3
1 1 3
0 1 1
10 2
3 1 1
0 0 3
3 2 0
3 2 2
3 0 3
1 3 0
1 0 2
2 1 0
0 1 1
0 3 3
10 2
2 2 1
1 3 0
2 1 0
3 0 1
0 1 2
1 0 1
3 0 0
2 2 2
2 3 2
2 0 0
10 4
2 1 2
1 0 1
0 2 0
2 0 1
0 2 1
2 1 1
1 2 1
1 1 2
0 1 1
0 1 0
10 8
1 2 0
2 2 1
3 1 3
3 0 2
1 0 0
3 2 0
0 0 1
1 1 1
0 3 3
2 3 2
10 8
2 2 1
2 3 1
2 0 2
2 3 2
1 0 1
1 1 2
3 3 1
2 0 3
0 2 1
1 3 3
10 8
0 1 2
2 0 1
0 0 2
1 1 2
1 0 1
2 1 1
2 1 0
0 0 1
0 0 0
0 1 1
10 6
0 2 3
2 3 2
0 0 3
3 1 1
3 2 2
3 0 3
1 2 1
3 0 1
1 1 3
2 1 3
10 8
2 2 1
0 0 2
2 0 1
1 0 0
1 2 1
1 0 1
0 2 2
2 0 0
1 2 0
1 0 2
10 5
1 2 2
2 0 2
0 1 1
0 1 2
1 0 1
0 2 0
2 1 1
0 2 2
1 0 2
2 2 0
10 5
3 1 2
1 1 0
2 1 1
2 2 2
0 2 0
3 2 2
3 2 1
2 3 0
0 0 3
0 1 1
10 8
1 0 3
3 1 1
0 0 0
2 2 2
3 0 2
2 3 2
1 3 3
3 2 2
1 1 0
2 3 1
10 7
2 3 0
2 1 0
3 3 0
3 1 2
1 0 2
1 3 1
1 1 2
0 3 2
0 3 3
3 3 1
10 7
2 1 0
1 2 1
0 2 0
2 0 2
0 1 2
2 1 2
2 1 1
2 2 0
1 1 0
0 2 2
10 3
2 0 1
0 2 1
0 0 0
2 1 0
1 1 0
2 2 1
2 0 0
2 1 2
0 1 2
1 2 0
10 4
3 1 2
2 3 0
3 3 2
3 2 2
1 1 1
2 0 3
0 1 2
3 0 2
2 2 3
2 3 2
10 3
3 0 1
3 0 2
1 1 1
0 0 1
0 3 3
2 2 1
2 3 3
2 3 0
0 2 1
2 1 0
10 8
2 2 0
1 0 2
2 2 2
1 3 1
3 2 2
1 2 1
3 0 0
0 3 1
0 3 2
3 3 2
10 6
1 1 1
1 0 0
2 2 1
2 0 0
0 2 0
0 2 1
1 2 0
1 1 2
1 0 2
2 2 0
10 2
1 0 0
3 2 1
1 0 2
2 1 3
0 0 3
3 0 3
3 1 1
0 1 0
2 0 0
2 2 2
10 9
1 0 2
1 2 2
0 2 2
2 1 0
1 1 1
0 1 1
1 0 0
1 1 0
0 1 0
1 0 1
10 2
1 2 0
3 1 1
1 0 0
0 1 3
3 3 1
2 3 0
0 2 3
0 2 2
1 2 3
2 0 0
10 4
2 1 2
2 0 1
0 1 0
1 1 0
1 1 1
0 0 1
0 2 0
2 1 1
2 0 0
0 1 2
10 3
2 2 1
0 2 2
1 2 0
0 1 2
1 1 1
2 2 0
1 1 0
0 2 1
0 0 0
1 0 0
10 8
0 1 2
2 3 2
3 2 0
2 2 1
1 1 3
1 1 0
0 1 3
2 0 1
3 1 3
1 2 2
10 5
2 1 1
2 2 2
1 2 2
2 1 2
1 0 2
0 1 0
1 2 1
1 2 0
0 0 2
1 1 2
10 9
1 3 1
2 0 0
1 0 1
1 3 3
3 2 3
1 2 3
2 1 0
3 0 0
2 1 2
2 3 1
10 2
1 1 2
2 1 0
1 0 3
3 2 1
1 1 0
2 3 3
0 0 1
1 1 1
1 2 3
2 2 2
10 2
2 2 0
2 0 0
0 0 0
2 0 2
1 0 1
2 1 0
1 0 2
2 2 2
0 2 0
0 1 0
10 7
1 3 0
2 2 1
1 0 2
2 3 1
2 1 1
0 0 0
2 1 0
2 2 0
3 1 1
1 3 2
10 6
0 2 0
2 1 2
1 1 0
2 0 2
1 2 0
2 2 1
2 1 0
1 0 0
1 2 1
0 0 0
10 8
0 2 2
2 2 1
2 0 2
2 0 1
1 2 1
2 2 0
1 0 1
0 0 2
2 1 0
0 2 1
10 3
1 1 3
3 1 0
2 3 1
2 1 3
3 1 3
3 3 1
1 1 2
2 2 2
1 0 0
3 1 1
10 9
0 2 3
2 0 1
3 0 0
0 2 2
3 1 3
3 2 1
2 3 2
3 3 2
2 3 0
1 2 2
10 2
1 3 1
0 3 3
1 0 2
2 0 2
0 3 2
1 1 1
3 1 2
0 1 3
2 2 2
2 0 3
10 8
0 2 0
0 2 2
0 1 0
2 0 0
2 1 0
2 2 0
1 0 2
1 2 2
0 0 0
1 0 0
10 6
2 2 1
0 2 1
1 0 0
0 0 2
0 1 2
1 0 2
0 1 0
2 1 1
1 0 1
1 2 1
10 3
1 2 2
0 2 2
1 2 0
2 0 0
2 1 2
0 2 1
1 1 0
2 2 0
2 0 2
2 2 1
10 9
0 2 2
1 0 2
0 1 2
1 2 1
0 2 1
0 2 0
0 3 1
0 3 0
1 1 3
1 1 0
10 3
1 2 1
1 2 2
0 0 2
1 1 1
0 1 1
0 0 1
0 2 0
0 2 1
1 0 1
2 0 1
10 3
2 0 1
1 0 0
1 1 2
3 3 1
1 3 1
1 1 3
2 2 3
2 0 0
2 0 3
1 1 0
10 2
0 1 3
3 0 0
3 2 0
2 1 1
0 3 2
0 0 2
0 1 1
3 2 3
1 3 0
0 0 1
10 9
1 1 1
1 1 2
2 0 1
1 2 0
3 0 3
1 0 2
1 0 3
2 0 2
0 2 0
0 1 1
10 7
1 0 3
1 1 3
2 2 1
3 3 2
1 3 3
3 0 1
3 3 0
2 3 2
0 2 2
0 2 3
10 9
1 2 1
2 0 1
1 0 2
2 1 2
2 2 1
1 2 2
0 1 1
1 1 1
0 2 0
1 0 1
10 9
3 1 0
2 3 1
2 2 1
3 2 3
2 1 3
2 2 3
0 2 1
3 1 3
1 2 0
0 0 0
10 8
1 0 0
1 2 1
2 1 1
0 2 0
0 0 0
0 0 1
1 1 2
0 0 2
1 1 0
2 1 0
10 2
0 1 2
0 2 0
2 0 2
0 2 1
0 0 2
2 1 1
2 1 2
1 0 0
1 1 1
1 2 0
10 2
2 0 1
3 3 1
2 1 1
3 3 2
3 3 3
1 0 2
1 1 3
2 2 0
3 1 3
2 3 3
10 2
3 2 3
2 1 2
2 2 2
0 1 2
1 2 1
0 0 3
2 3 2
0 0 2
2 0 0
3 0 3
10 6
0 0 0
0 2 2
0 0 1
0 2 0
1 0 0
2 1 0
2 2 2
1 1 2
2 0 2
2 2 1
10 6
2 0 1
2 0 2
1 2 2
2 1 0
0 0 2
1 2 1
1 0 2
2 2 0
1 1 1
1 1 2
10 3
1 2 0
0 1 2
2 2 1
0 2 2
2 2 0
0 2 1
1 2 2
2 1 1
2 1 2
1 1 1
10 6
0 0 2
0 3 3
3 2 0
0 3 1
3 2 1
0 2 2
0 3 0
0 0 3
0 1 0
0 1 3
10 8
0 1 2
0 0 0
1 1 0
0 0 2
0 2 0
1 0 3
0 1 0
2 2 2
2 1 0
0 1 1
10 3
0 0 0
1 3 2
2 0 3
0 0 2
3 3 0
0 1 0
1 1 1
1 3 3
0 2 2
1 0 0
10 4
1 0 1
2 1 1
1 1 1
0 2 2
2 2 2
2 0 2
0 2 0
2 2 1
0 0 0
1 2 2
10 3
1 1 0
1 2 0
0 2 2
2 1 0
1 1 1
0 2 0
2 0 1
2 1 2
1 2 1
2 1 1
10 3
0 3 2
2 2 3
1 1 0
1 2 2
3 3 2
3 2 3
2 2 1
3 3 0
1 1 1
0 3 0
10 6
2 2 2
0 1 2
2 0 3
2 3 1
1 1 1
0 1 3
1 0 3
2 0 2
2 2 1
1 2 2
10 4
2 2 0
1 3 3
3 0 3
1 2 3
0 1 0
3 0 2
2 2 2
2 0 0
2 1 1
3 1 0
10 6
1 0 1
1 3 3
1 1 1
2 2 3
0 1 1
0 3 1
3 3 2
2 3 3
0 2 2
2 1 2
10 3
3 3 3
1 2 2
1 3 0
3 2 2
0 1 0
0 1 2
2 1 2
3 0 3
3 3 0
2 3 3
10 5
1 1 1
0 1 0
0 3 2
0 0 2
1 2 1
1 1 3
3 1 0
2 0 1
1 2 2
2 2 3
10 6
2 2 1
0 0 1
1 2 0
2 0 1
1 0 2
2 1 0
0 2 1
1 2 1
2 1 1
0 1 0
10 6
1 3 2
2 2 1
0 3 1
2 1 2
2 0 0
1 0 1
1 3 0
3 0 2
3 1 0
0 2 1
10 9
1 0 0
2 0 2
0 0 0
1 2 0
0 1 0
2 2 0
2 1 2
2 1 1
0 2 2
1 1 2
10 5
1 1 0
1 2 0
2 1 2
2 1 0
0 2 1
1 2 1
2 2 0
1 1 2
0 2 2
0 0 0
10 8
3 2 3
2 0 0
0 0 3
2 2 3
1 3 3
2 2 0
3 1 2
1 0 1
1 0 3
3 3 3
10 4
2 1 0
1 0 2
2 1 1
0 0 2
2 1 2
1 2 1
2 0 1
0 2 2
1 2 0
0 1 1
10 5
2 2 3
1 3 3
0 2 1
0 1 1
2 2 2
1 3 0
2 1 2
2 1 1
0 3 0
0 1 3
10 6
0 2 2
0 0 1
2 0 0
2 2 1
0 0 0
0 1 0
0 1 2
2 2 0
2 1 0
2 0 1
10 4
0 1 2
0 3 0
0 2 2
2 1 0
3 0 3
1 2 1
2 2 1
3 2 2
1 1 3
1 2 0
10 7
0 3 0
3 0 1
2 3 2
3 1 1
2 2 3
2 0 0
2 3 1
0 0 0
3 2 2
1 1 0
10 3
0 3 0
0 0 3
3 2 1
3 1 1
3 0 0
0 3 1
2 3 2
2 0 3
3 0 1
2 3 3
10 2
2 2 1
0 0 0
1 2 2
0 0 2
1 1 2
2 2 2
1 0 1
2 0 0
1 1 0
0 1 2
10 4
1 1 3
0 3 2
2 2 0
3 0 2
2 1 1
3 1 0
2 3 3
0 3 3
0 2 0
2 0 1
10 2
1 1 2
0 2 0
1 2 1
0 1 0
0 0 2
0 0 0
2 2 1
2 2 2
1 0 2
1 0 1
10 9
1 1 0
1 0 1
1 0 0
0 0 1
2 0 2
2 2 0
2 0 1
0 0 0
2 2 2
1 2 2
10 9
0 1 0
0 1 2
0 2 1
2 0 1
2 1 0
1 0 0
2 1 1
1 1 0
0 1 1
2 2 0
10 6
2 1 2
2 2 0
3 1 2
0 2 2
2 1 0
3 3 2
2 0 1
1 1 2
3 2 1
0 3 1
10 6
0 2 0
0 3 1
0 2 2
0 1 2
1 1 0
2 2 3
1 3 1
3 2 3
1 3 0
2 2 1
10 3
2 1 2
2 3 3
3 1 0
2 2 2
1 0 0
2 1 3
2 3 0
3 0 3
3 0 0
3 2 0
10 2
0 2 0
1 0 0
0 2 2
1 0 1
2 0 3
1 2 3
3 3 1
2 3 2
2 3 1
3 1 0
10 4
2 2 0
0 1 0
3 1 1
1 0 2
3 0 0
2 3 3
0 2 0
1 3 3
3 1 0
2 1 2
10 8
1 2 1
0 0 2
1 3 1
2 3 2
1 0 2
3 2 3
0 1 3
2 3 0
2 2 1
2 2 2
10 6
1 1 2
1 0 0
2 0 2
2 0 0
1 1 1
0 2 0
2 1 1
2 2 0
2 0 1
0 0 0
10 6
2 0 2
0 1 0
2 1 2
1 1 0
0 1 1
0 1 2
2 1 1
2 2 1
2 0 0
1 1 2
10 6
0 0 0
0 2 0
1 2 2
1 1 2
2 0 2
2 2 1
1 2 0
0 2 1
0 1 2
2 1 0
10 3
0 1 2
1 2 1
0 1 0
1 0 2
1 0 1
0 0 0
2 2 1
2 0 2
2 1 0
1 1 1
10 7
3 1 2
1 2 1
0 2 3
1 1 2
2 0 1
2 0 3
0 1 1
0 2 0
1 3 1
3 1 3
10 9
2 2 2
2 1 2
2 1 0
0 0 0
1 0 2
2 0 2
0 2 0
2 1 1
0 1 2
1 0 1
10 6
0 2 1
1 1 1
0 1 0
0 0 2
2 0 1
2 1 2
1 0 2
0 0 0
1 0 0
2 2 2
10 3
1 2 2
2 2 0
0 1 0
0 2 2
2 2 1
2 1 1
0 1 1
2 0 1
2 2 2
2 0 2
10 4
0 1 0
2 1 0
1 2 2
2 0 2
1 0 0
1 1 0
0 2 1
0 1 1
2 2 0
2 2 2
10 9
3 2 3
3 2 0
1 1 1
0 0 0
3 2 2
2 1 1
1 1 0
2 0 1
3 3 0
1 3 3
10 4
1 0 0
0 1 0
1 0 1
1 1 2
0 1 2
0 0 0
0 2 2
2 1 1
2 2 0
2 0 2
10 3
0 2 0
2 1 0
2 0 2
2 0 1
1 1 1
0 1 0
1 2 1
0 0 2
1 0 0
0 0 1
10 8
2 0 1
1 1 0
1 2 3
2 0 2
2 0 0
1 1 1
2 3 1
1 3 1
0 2 1
0 0 2
10 2
0 1 2
2 2 1
1 2 2
2 0 0
2 0 1
0 1 1
2 0 2
0 0 1
2 1 2
2 2 0
10 2
0 1 0
3 3 0
2 0 2
2 1 1
0 3 1
1 2 3
2 2 1
3 1 1
3 3 2
2 1 0
10 4
0 0 0
0 2 1
1 2 0
1 1 0
2 0 0
2 1 0
2 0 2
1 1 2
2 1 2
0 2 0
10 5
3 2 1
1 0 3
2 3 3
0 3 3
0 2 3
1 1 2
3 3 2
1 3 1
3 0 0
1 2 2
10 5
1 2 2
0 0 0
0 2 1
2 2 1
0 1 1
0 1 0
2 0 1
2 1 1
2 0 2
2 2 2
10 3
3 2 0
1 1 2
0 1 2
0 3 0
0 3 2
2 0 0
2 2 2
2 1 0
3 1 0
0 0 1
10 2
2 2 2
0 1 0
0 2 1
0 0 1
1 1 0
2 0 2
2 2 1
2 1 0
0 0 0
2 1 1
10 2
0 2 0
2 2 1
1 0 1
1 0 0
2 2 2
1 0 2
2 1 1
0 0 2
1 1 1
1 1 0
10 5
2 0 1
1 2 2
1 2 1
1 1 2
0 2 1
2 2 0
0 2 2
1 1 0
2 1 0
1 0 2
10 2
2 0 0
1 2 1
2 1 2
0 2 0
0 1 0
2 0 2
0 1 2
0 0 2
2 0 1
0 0 0
10 6
3 2 2
2 0 3
0 1 1
3 0 1
2 1 2
1 1 1
0 0 1
0 1 3
1 2 1
1 3 3
10 5
2 2 0
2 1 2
0 0 1
2 0 0
1 2 0
0 1 0
2 2 1
2 2 2
0 2 1
1 0 2
10 9
0 3 0
1 0 2
0 2 3
3 0 0
0 1 3
3 2 1
0 0 2
0 0 3
3 3 3
2 0 2
10 4
0 3 1
3 0 0
2 3 0
2 2 1
2 3 3
0 0 1
1 3 2
0 1 2
0 3 2
0 3 3
10 7
0 1 2
1 1 0
2 2 2
2 2 0
2 1 1
1 0 2
1 1 1
1 2 1
2 0 0
2 0 2
10 4
0 3 1
1 1 1
0 1 2
3 2 2
1 1 3
2 1 3
1 0 3
2 3 2
2 0 1
1 0 1
10 3
0 1 3
2 3 0
3 1 3
2 1 3
2 0 1
2 3 2
3 0 3
1 2 2
1 2 1
1 3 3
10 7
0 0 2
0 0 0
0 1 0
1 2 2
2 0 0
2 0 2
0 0 1
0 2 1
1 2 1
2 2 2
10 3
0 2 3
0 3 3
3 1 2
2 2 2
3 2 1
0 0 0
2 2 3
1 3 3
2 3 3
1 2 1
10 4
1 0 3
0 2 2
2 2 2
0 1 3
0 3 3
2 0 2
0 0 1
3 1 1
0 1 2
3 3 0
10 8
2 3 1
3 2 2
1 3 1
1 1 2
3 0 2
0 1 1
0 3 2
3 1 3
0 1 2
3 2 3
10 5
2 2 0
1 0 2
2 1 2
1 2 0
0 1 2
0 0 2
2 1 1
0 2 1
2 0 1
2 0 2
10 7
0 0 0
2 3 1
3 3 3
0 2 2
3 2 3
3 3 1
0 3 2
0 0 2
3 1 1
1 2 1
10 8
0 2 1
1 2 1
2 0 3
1 3 1
1 0 2
1 1 1
2 3 1
0 2 3
0 1 2
1 0 0
10 2
0 0 2
1 0 0
3 0 2
0 3 3
1 3 1
0 1 3
3 0 0
0 0 3
3 3 1
2 3 2
10 5
2 2 1
2 1 0
1 1 2
2 0 2
0 2 1
1 0 2
0 1 0
2 0 0
2 0 1
2 1 1
10 4
0 1 3
0 2 3
0 2 1
3 0 2
2 1 1
2 3 3
2 0 3
0 1 0
0 2 0
1 1 1
10 7
0 0 2
2 0 2
1 1 2
2 1 1
0 2 2
0 1 1
1 1 1
1 2 0
1 2 1
2 1 0
10 4
1 2 1
0 0 2
0 1 1
2 1 2
0 2 2
2 0 0
0 1 0
1 0 2
2 0 1
1 1 2
10 2
2 0 3
3 0 3
1 1 1
0 2 0
2 3 2
2 3 3
0 3 2
2 2 3
1 2 3
0 1 1
10 5
2 0 0
2 2 0
2 2 1
1 1 0
0 2 0
1 0 2
0 2 2
0 2 1
0 0 2
0 1 1
10 4
1 1 1
2 1 2
0 0 3
3 0 0
1 1 0
1 3 3
2 2 0
2 3 3
3 3 1
1 0 3
10 2
2 1 3
1 1 1
0 2 2
1 0 2
2 3 2
0 2 3
2 1 1
2 3 3
3 3 2
1 2 3
10 2
1 1 1
1 2 0
0 2 2
0 1 0
0 0 1
2 2 0
1 2 1
0 1 1
1 0 2
1 1 0
10 7
1 1 1
2 2 1
0 1 2
1 2 2
3 0 1
2 2 2
0 0 1
1 1 3
0 2 2
1 3 3
10 8
1 0 1
0 1 1
1 0 2
2 0 1
1 1 0
2 1 1
0 2 0
0 0 1
0 2 2
2 1 0
10 8
2 3 3
0 0 1
3 2 0
3 3 1
1 0 0
0 3 3
0 3 1
2 1 2
1 1 1
2 0 2
10 5
2 1 1
0 0 1
0 2 2
2 0 2
2 2 1
1 2 0
1 0 1
0 2 1
1 0 2
0 1 1
10 9
1 1 0
2 2 0
2 2 2
2 0 0
0 1 1
0 2 0
2 0 1
1 0 2
1 1 1
2 2 1
10 3
1 1 1
1 0 3
3 3 2
3 0 1
0 1 0
2 1 2
1 0 1
0 3 0
0 3 3
1 2 0
10 9
0 0 1
2 0 0
1 2 0
0 0 2
2 2 1
1 2 2
2 1 1
0 1 1
1 0 1
2 2 2
10 9
0 1 2
3 2 0
2 2 2
0 2 2
3 1 1
0 0 2
3 1 0
0 3 0
3 3 1
3 0 1
10 3
3 1 0
3 2 3
0 2 3
2 0 0
0 0 1
0 3 3
3 2 2
3 2 0
2 2 3
3 3 2
10 6
0 2 1
2 0 1
0 0 1
1 0 0
2 3 0
1 0 1
3 0 0
0 0 2
1 0 2
3 2 2
10 5
1 1 1
2 1 1
2 1 0
2 2 2
1 2 1
2 0 0
0 1 1
2 2 0
0 2 0
1 1 2
10 2
0 0 1
1 1 0
1 1 1
2 2 0
1 0 2
0 2 2
2 0 0
0 1 0
1 1 2
1 2 0
10 5
2 0 1
1 2 0
1 2 1
0 1 1
0 1 0
1 0 1
2 0 2
2 2 1
1 0 0
1 1 0
10 2
0 0 2
1 3 2
2 1 1
0 0 3
0 3 0
3 3 0
3 0 2
2 1 2
1 2 2
3 1 2
10 2
3 0 0
2 0 3
1 0 2
2 0 0
1 0 3
0 1 2
0 2 0
2 1 3
1 0 1
2 1 2
10 7
1 1 2
0 0 1
1 0 0
0 2 0
0 1 0
0 2 2
0 2 1
2 1 0
2 2 2
2 0 1
10 9
2 2 0
2 0 0
1 2 1
0 0 0
0 0 2
1 1 2
1 1 1
2 2 1
2 0 2
1 2 2
10 7
1 1 0
1 2 1
2 1 1
0 0 2
2 2 0
1 0 1
1 0 2
2 1 2
0 1 1
0 2 0
10 9
2 0 2
1 1 1
0 0 1
2 0 1
1 1 0
1 0 2
2 1 0
0 0 2
2 1 2
2 1 1
10 7
0 2 1
2 2 1
0 2 0
0 0 3
3 2 2
1 2 0
2 0 2
3 1 3
0 0 1
3 1 0
10 2
2 2 1
3 2 1
1 0 0
0 3 2
3 2 3
3 1 3
2 3 2
3 3 0
1 3 3
0 2 0
10 4
0 1 2
1 0 1
3 0 2
2 0 1
1 3 2
0 2 0
1 1 1
3 0 0
1 2 0
0 3 1
10 8
0 1 0
2 0 0
1 1 1
2 1 2
0 2 1
2 1 0
2 0 1
0 2 2
2 1 1
0 0 0
10 2
0 0 1
1 2 1
2 1 2
0 2 2
1 0 0
1 1 0
1 1 1
1 0 1
0 1 0
2 0 1
10 5
2 0 2
2 3 3
0 0 3
0 3 1
0 2 3
3 0 1
0 0 0
1 0 0
2 1 0
2 0 0
10 9
0 3 0
0 1 2
0 3 1
1 1 0
2 2 2
0 3 3
0 2 3
2 3 2
1 3 0
3 3 3
10 7
1 2 3
0 3 3
3 3 3
3 2 1
2 3 2
1 3 2
1 3 3
3 3 0
0 2 2
1 1 0
10 5
0 2 2
1 1 1
0 1 1
2 1 2
2 2 0
0 2 0
0 1 0
2 0 0
1 1 2
2 1 1
10 6
0 1 2
2 1 1
3 2 0
3 0 1
1 2 1
1 0 1
0 0 3
2 2 2
2 1 0
1 0 0
10 9
0 2 0
0 0 1
2 2 0
0 1 2
2 2 2
0 1 0
2 1 2
1 2 1
2 0 1
1 2 2
10 5
0 2 3
2 2 0
3 2 2
0 0 1
1 1 1
2 0 2
0 1 1
1 2 0
0 0 3
3 0 1
10 9
0 2 2
0 1 1
0 0 0
2 0 1
1 0 1
2 1 2
1 2 0
1 2 2
2 2 0
2 2 1
10 2
0 3 3
1 2 1
0 0 3
1 0 2
1 1 2
3 1 0
2 2 2
3 3 2
1 2 2
0 3 2
10 9
1 1 2
2 2 2
1 2 1
1 0 2
2 1 1
2 2 1
2 1 2
0 2 2
2 0 0
2 2 0
10 9
2 0 1
2 2 2
1 0 2
0 1 1
0 1 0
2 1 1
1 2 2
1 2 1
0 2 0
0 0 2
10 8
2 0 2
2 0 0
2 2 0
0 2 2
0 0 0
1 1 1
0 1 1
1 2 1
2 2 1
2 1 1
10 4
2 0 0
2 0 2
2 2 2
1 0 1
0 1 2
0 1 1
1 1 0
2 1 0
0 2 1
2 0 1
10 3
3 3 0
3 0 0
2 1 0
2 0 3
0 3 2
1 1 2
0 1 0
3 3 2
0 3 3
3 2 3
10 7
0 1 0
2 0 1
2 0 2
2 2 0
1 0 2
0 0 0
0 0 2
2 2 2
0 1 2
0 1 1
10 3
1 0 2
0 1 1
0 1 2
0 2 2
2 2 2
0 2 0
2 1 1
2 0 1
1 1 1
1 0 0
10 2
2 2 1
1 1 1
0 0 2
2 0 2
0 1 1
2 2 0
2 1 2
2 1 0
0 2 2
1 2 1
10 6
1 1 2
0 1 2
1 1 0
2 1 1
1 1 1
1 0 0
0 0 2
1 2 0
0 0 1
2 0 1
10 9
0 1 1
0 1 0
1 2 0
1 0 0
1 0 1
0 0 1
1 2 2
0 0 2
2 0 1
1 1 2
10 9
2 1 0
0 2 0
3 3 1
3 0 2
1 2 0
2 3 1
0 3 2
2 2 1
1 3 2
3 3 2
10 3
2 1 2
0 2 3
1 1 3
1 0 1
1 3 1
2 0 0
0 1 0
3 3 0
0 0 3
3 0 1
10 8
3 3 1
2 0 1
0 2 3
3 2 2
0 1 0
0 3 0
2 2 1
2 1 0
2 2 2
1 3 0
10 6
2 0 1
0 0 2
0 2 2
2 2 0
2 0 2
2 0 0
1 1 0
2 2 1
0 1 0
1 1 2
10 8
0 3 3
2 3 3
2 2 0
2 3 2
0 2 2
3 3 3
0 0 1
3 1 1
1 1 1
2 1 2
10 7
2 0 2
3 3 0
2 1 2
0 2 0
0 1 3
1 3 1
0 2 3
0 0 0
2 1 0
0 3 1
10 9
0 2 1
2 2 2
2 2 1
0 0 2
1 0 1
2 1 2
0 1 0
1 1 1
0 2 2
1 0 0
10 2
0 2 1
0 1 2
2 1 1
1 1 0
2 1 0
2 1 2
0 1 0
0 2 2
2 0 1
0 1 1
10 6
3 1 0
2 1 2
0 3 2
3 2 2
3 3 0
1 3 1
0 2 0
2 0 2
2 2 3
2 3 0
10 7
0 2 3
1 3 2
1 0 0
0 1 0
3 3 2
2 0 2
3 1 0
1 2 2
3 0 1
0 3 3
10 7
2 0 1
2 0 0
0 0 2
2 0 2
1 1 2
0 0 0
2 2 2
1 2 1
0 1 2
0 2 0
10 3
0 1 3
3 0 3
2 3 1
1 2 1
1 1 1
3 2 2
2 1 0
3 3 2
3 3 0
3 2 3
10 7
2 2 1
1 0 0
2 0 1
0 0 1
0 1 1
2 0 2
1 1 0
1 1 2
0 1 0
2 0 0
10 3
0 0 1
1 1 1
1 0 2
0 1 2
0 0 2
2 1 2
0 1 1
2 2 1
1 0 1
1 2 2
10 2
2 2 2
2 0 2
0 2 0
1 2 1
2 1 1
0 1 0
1 1 0
0 2 1
0 1 2
2 0 1
10 2
0 2 1
1 1 1
0 2 0
2 1 0
2 1 2
1 0 0
1 3 1
3 1 3
0 2 3
3 3 2
10 5
2 1 0
1 0 1
2 2 0
1 1 0
0 0 3
3 1 1
1 2 3
1 3 2
1 3 0
0 1 1
10 9
3 0 3
2 0 3
2 1 3
0 2 1
1 0 0
2 3 0
0 3 3
1 1 1
3 3 0
0 0 2
10 2
3 3 0
2 1 0
2 2 3
0 2 1
0 3 2
0 2 2
3 2 2
0 1 2
1 3 3
3 0 2
10 4
0 0 1
0 1 2
1 2 2
0 1 0
1 0 2
1 0 0
0 2 1
0 0 0
1 2 1
0 1 1
10 5
1 2 2
1 3 0
1 0 2
0 2 0
2 3 1
1 1 1
1 3 3
1 1 2
2 3 0
3 1 1
10 3
2 1 0
2 2 2
1 0 0
0 0 1
0 1 2
1 1 1
1 2 1
1 0 1
2 2 0
0 2 0
10 2
1 0 1
2 2 0
1 1 3
0 2 0
0 1 1
3 1 0
2 1 1
2 3 3
3 0 0
0 3 1
10 9
3 1 0
3 3 0
3 2 2
0 1 3
0 3 2
0 3 1
1 1 3
2 3 1
0 3 0
0 0 1
10 6
1 0 0
0 0 0
1 1 3
2 2 2
1 3 2
3 0 3
2 1 2
2 0 0
0 2 1
3 1 2
10 5
0 2 2
0 1 2
0 1 1
0 0 2
0 1 0
1 1 0
0 2 1
2 1 1
1 1 2
0 2 0
10 4
1 1 0
1 3 1
1 3 0
3 3 2
0 1 2
0 2 0
2 3 1
1 0 1
1 1 2
3 1 0
10 5
2 1 2
2 0 2
2 0 0
1 1 0
1 0 2
1 2 0
1 0 0
2 2 2
2 2 0
0 0 1
10 5
0 2 1
0 0 1
1 0 2
0 1 0
0 0 0
1 0 0
2 1 2
0 1 2
0 1 1
2 2 1
10 2
2 1 1
3 2 0
1 3 3
1 3 1
3 1 3
1 1 3
2 2 3
2 2 1
1 3 2
0 1 2
10 8
1 1 0
2 0 2
1 1 1
3 3 0
1 0 1
0 0 0
0 3 3
0 0 2
1 3 1
1 2 0
10 4
0 2 3
1 1 1
1 2 3
3 2 2
2 3 2
1 2 1
3 3 1
3 1 0
1 3 3
0 2 2
10 5
1 1 2
1 0 2
0 0 3
0 3 2
3 3 3
0 2 3
2 3 0
3 0 3
2 3 3
3 3 2
10 4
1 2 1
2 3 0
2 1 2
0 2 0
0 3 3
1 1 3
3 0 2
3 0 3
2 2 3
3 2 0
10 9
0 0 2
0 0 0
2 1 0
0 2 0
2 1 2
1 0 0
1 0 1
0 1 2
1 0 2
2 2 2
10 6
2 2 2
2 2 1
0 2 1
0 1 0
0 2 0
1 0 2
2 0 1
2 1 0
0 0 1
2 0 2
10 3
2 2 1
0 1 2
1 1 0
1 2 1
0 0 1
2 2 2
0 2 0
0 2 2
2 0 2
2 1 2
10 7
1 2 2
0 1 2
2 1 1
0 2 2
1 0 1
2 0 2
1 1 0
1 1 1
0 1 0
2 1 0
10 9
3 3 2
1 2 1
2 2 2
0 0 3
1 1 3
2 0 3
1 1 0
1 0 0
0 3 1
0 2 3
10 6
3 3 3
0 3 0
2 3 1
0 2 0
1 3 3
0 3 2
1 2 2
0 3 3
1 0 0
2 3 3
10 7
0 2 3
3 0 2
1 0 2
0 1 3
2 3 1
0 2 0
3 2 2
1 1 0
3 1 2
0 0 1
10 5
1 2 0
1 0 2
0 0 3
2 0 3
3 0 2
2 0 0
1 3 0
0 1 0
2 1 1
3 1 2
10 7
1 0 1
0 1 2
2 1 0
1 2 2
1 0 2
1 1 1
0 2 2
1 1 2
0 2 1
2 1 2
10 6
1 0 0
0 2 1
0 2 2
2 0 2
1 0 2
0 0 0
0 1 0
0 1 2
1 2 0
0 0 2
10 4
2 3 2
0 3 2
2 3 3
0 2 3
3 3 0
2 2 2
3 3 1
3 0 0
1 2 0
1 3 3
10 6
0 0 1
1 1 0
0 2 2
1 1 2
2 1 1
1 0 2
0 2 0
1 0 0
1 0 1
1 2 2
10 7
1 2 2
0 0 0
2 0 1
0 1 2
0 0 2
2 2 2
1 2 0
1 1 0
1 2 1
2 2 0
10 6
1 0 3
2 2 3
1 3 1
2 3 2
0 3 1
1 0 1
3 0 0
1 1 1
0 2 2
2 1 0
10 5
1 1 1
0 2 2
1 0 0
1 2 2
2 0 2
0 1 0
1 2 1
0 2 0
2 1 2
0 0 0
10 2
1 0 1
2 3 0
3 3 1
2 1 1
3 1 3
3 3 2
0 1 1
0 0 3
1 1 1
1 3 3
10 3
0 1 1
1 2 1
0 0 2
2 1 2
1 2 2
2 0 0
2 1 1
1 0 0
0 0 1
1 2 0
10 4
3 2 3
1 3 2
1 0 3
0 0 2
3 1 2
1 0 0
3 3 1
3 3 2
1 2 2
2 0 2
10 5
0 3 0
1 1 3
0 0 3
1 2 0
0 0 1
1 1 2
2 0 0
2 3 3
1 3 3
0 1 3
10 9
1 2 0
1 2 1
1 0 2
2 2 0
2 0 0
0 0 1
0 0 0
1 0 1
0 1 1
0 0 2
10 2
0 0 0
1 1 2
0 0 2
2 2 0
2 1 2
0 1 2
2 0 0
0 0 1
1 2 1
0 1 1
10 6
1 1 0
1 1 2
2 1 0
1 0 1
2 2 0
0 1 1
0 2 1
1 0 0
0 1 2
0 2 0
10 6
0 1 2
2 3 1
2 3 3
0 2 3
1 2 2
3 2 3
1 0 2
0 0 1
2 1 3
1 1 1
10 2
3 1 0
2 2 3
0 3 1
3 3 2
2 0 2
0 0 0
2 3 3
1 3 3
2 1 1
1 2 3
10 9
2 3 2
0 3 0
2 3 1
1 2 0
0 1 0
1 2 2
0 2 0
1 1 3
1 1 0
3 3 2
10 2
1 2 1
1 1 2
0 1 2
2 0 0
1 1 1
1 2 0
0 0 2
2 1 2
0 0 1
0 2 1
10 2
0 0 1
0 3 3
3 2 2
2 1 3
2 3 2
3 0 2
2 2 2
0 1 0
3 0 0
2 2 0
10 2
1 1 0
1 1 3
0 1 3
2 2 0
1 2 2
3 1 2
0 3 3
3 3 2
0 0 2
0 3 2
10 4
1 1 2
1 0 2
2 0 0
0 1 1
0 2 1
2 2 1
0 2 0
1 2 0
1 0 1
0 1 0
10 9
3 0 0
1 3 3
3 1 3
2 1 0
2 0 0
3 0 1
1 0 3
2 3 0
3 1 1
0 2 2
10 4
0 3 2
1 2 1
1 3 0
3 3 0
0 2 3
1 0 0
0 1 3
2 0 3
3 3 3
2 2 1
10 2
3 3 1
1 2 2
2 1 0
2 1 3
3 1 0
1 2 3
2 2 3
3 3 0
0 0 1
1 3 3
10 8
1 3 2
2 3 3
3 0 1
1 3 3
0 2 0
1 2 0
3 0 3
1 0 0
0 2 1
2 1 2
10 2
1 3 3
3 3 3
0 0 0
1 1 0
3 1 1
0 3 1
0 3 0
3 3 0
3 0 1
3 0 3
10 2
3 1 2
0 2 3
3 1 3
3 2 1
1 0 3
3 3 2
1 0 1
2 0 3
1 1 0
2 1 3
10 3
1 3 3
2 2 1
1 2 0
0 3 2
0 1 1
3 3 0
2 1 2
1 1 2
3 1 0
0 2 2
10 3
1 1 2
0 2 2
0 0 2
2 2 2
2 0 0
1 2 0
1 1 1
1 0 0
2 0 1
0 2 0
10 7
0 0 2
0 2 2
0 2 0
1 1 0
0 0 1
2 1 2
1 1 1
1 1 2
1 2 1
1 0 0
10 3
1 1 1
0 1 2
0 2 0
2 2 1
3 0 1
1 0 3
0 1 3
2 3 0
3 3 3
3 0 0
10 8
1 2 1
0 1 2
0 1 1
2 2 2
1 0 2
2 2 1
1 0 1
2 0 1
1 0 0
0 0 0
10 7
2 0 0
1 2 1
0 1 0
1 0 1
2 2 0
0 0 1
2 1 0
0 2 1
2 2 2
2 2 1
10 2
3 3 3
2 0 0
2 2 3
2 2 2
3 2 2
0 0 3
2 2 0
0 2 2
2 1 2
1 0 3
10 3
3 1 2
3 1 3
2 1 0
0 0 0
1 0 0
2 2 3
3 0 0
2 2 1
0 1 3
0 1 2
10 6
0 1 2
1 2 0
0 0 2
0 0 1
2 2 1
2 1 2
1 0 2
1 2 2
2 1 0
0 2 2
10 2
3 3 1
0 0 3
1 3 1
1 3 0
1 0 0
2 2 3
1 3 2
0 1 0
0 3 3
0 2 3
10 3
0 1 1
1 1 1
1 2 1
1 0 2
0 2 2
0 0 0
0 0 2
1 0 0
0 1 0
1 2 2
10 9
2 0 0
2 0 1
1 0 2
1 0 1
2 2 2
2 0 2
2 2 1
0 0 2
0 1 2
1 1 1
10 4
2 2 3
0 0 0
0 1 3
3 1 3
0 3 2
1 1 1
1 0 0
3 2 1
3 3 2
2 3 2
10 5
1 2 1
1 2 2
2 0 1
2 2 0
0 2 0
1 1 2
0 0 0
0 0 2
2 2 1
2 1 2
10 3
3 0 2
2 1 3
1 2 0
3 3 3
0 2 2
3 2 1
3 3 2
0 1 3
2 2 2
3 2 2
10 7
2 0 3
2 2 0
3 1 3
2 0 0
2 3 3
0 0 1
0 3 2
2 0 1
3 1 0
0 1 3
10 2
3 1 3
2 3 2
0 0 0
2 1 3
2 2 1
2 0 1
1 0 2
1 2 2
1 1 1
3 0 1
10 7
3 3 0
0 2 1
0 1 1
1 1 0
3 1 1
3 0 2
0 0 3
0 2 3
2 0 0
3 0 0
10 4
1 1 2
0 0 1
1 0 2
0 0 0
2 2 1
2 1 2
1 0 0
0 2 0
2 1 1
2 2 0
10 3
0 0 0
0 0 1
0 1 2
2 1 2
1 2 1
1 1 2
0 2 1
0 0 2
1 2 0
2 1 0
10 8
1 1 1
2 1 1
2 1 2
1 1 2
1 2 0
2 0 2
0 2 1
1 0 2
0 1 2
2 2 0
10 5
0 1 1
0 3 2
0 2 2
0 3 1
2 1 2
0 1 2
0 3 3
1 2 3
3 0 1
1 0 1
10 6
2 1 3
0 0 3
0 2 1
2 3 0
2 2 0
2 2 2
3 3 1
2 3 1
2 1 2
0 2 0
10 8
2 3 1
0 1 2
2 2 0
1 3 2
1 1 1
2 1 2
1 1 2
0 3 0
2 0 0
2 2 1
10 9
1 1 2
0 1 0
1 1 1
1 0 0
1 2 1
2 0 2
2 2 2
2 2 0
1 1 0
0 2 0
10 3
1 0 1
0 0 2
3 1 0
0 3 3
1 3 0
1 3 1
3 3 1
2 3 3
3 2 2
3 0 2
10 2
0 2 2
1 1 3
2 3 2
2 2 1
0 3 3
2 1 0
2 2 0
0 3 0
1 0 2
1 3 3
10 9
1 0 2
1 0 0
0 1 2
0 0 2
2 2 0
2 2 1
1 1 2
0 1 1
0 0 1
2 1 1
10 2
3 3 1
2 1 1
3 2 1
3 0 1
3 2 3
0 3 1
2 0 1
2 2 0
0 0 3
1 2 1
10 9
2 2 2
2 0 1
0 2 0
2 1 1
1 0 1
2 1 2
0 2 2
2 2 0
0 1 2
1 1 1
10 6
3 0 0
1 2 3
0 0 3
0 2 0
2 3 3
2 0 2
0 0 2
1 3 0
0 1 3
1 3 2
10 8
2 3 3
1 2 0
1 3 0
2 2 1
1 1 1
2 0 2
1 0 1
2 0 1
0 3 1
1 3 3
10 8
1 1 2
2 1 0
2 0 1
0 1 1
2 0 0
0 1 0
2 2 2
2 2 0
0 0 2
1 1 0
10 2
1 1 2
1 2 1
1 0 2
0 0 2
1 2 2
2 2 2
1 0 1
2 1 0
0 0 0
0 1 2
10 6
0 1 0
2 1 0
1 2 1
0 0 2
0 2 1
2 0 2
0 2 0
0 0 1
0 1 1
1 1 0
10 7
3 3 0
0 1 0
2 0 2
1 2 2
0 0 2
2 0 3
2 2 2
0 0 1
2 2 1
1 3 0
10 4
0 0 0
2 2 0
1 2 0
2 0 1
2 1 0
2 0 2
0 1 2
1 2 1
2 1 1
1 1 1
10 4
0 2 2
1 1 0
0 0 2
2 2 2
2 0 2
0 1 0
1 2 1
1 2 2
1 0 1
2 1 2
10 8
1 1 2
0 0 1
0 2 0
2 0 1
2 1 0
2 2 0
0 1 2
1 1 0
0 0 2
1 0 1
10 7
1 2 1
0 0 1
0 0 0
2 0 2
2 1 0
1 2 2
1 1 0
2 1 1
2 1 2
1 0 1
10 4
2 2 2
3 2 3
1 2 1
3 1 1
2 3 3
0 3 2
3 3 1
2 1 2
2 2 3
1 0 0
10 4
1 1 1
1 2 0
0 2 2
1 1 0
0 0 2
0 2 0
2 1 1
1 0 0
0 0 1
1 0 2
10 9
0 2 0
1 2 1
1 0 1
1 1 0
0 1 0
2 1 2
1 2 2
0 2 1
2 2 0
2 0 1
10 9
2 3 0
2 1 1
2 2 3
3 1 3
2 1 3
3 1 0
1 1 0
0 3 0
1 3 2
1 0 3
10 6
2 2 3
1 3 0
0 1 0
3 1 2
0 3 3
3 1 3
0 2 1
0 1 1
2 1 0
1 3 1
10 2
1 3 2
0 0 3
0 3 1
3 2 1
0 2 2
1 0 3
2 2 3
1 1 2
0 2 0
2 0 2
10 2
0 1 0
1 0 2
0 1 1
1 2 1
2 1 2
2 0 1
2 2 0
1 0 1
1 2 0
1 0 0
10 9
0 3 3
3 3 1
2 3 0
1 0 2
1 2 1
3 1 3
1 3 0
3 2 0
3 2 1
0 2 0
10 3
0 3 3
3 0 0
0 3 2
3 2 3
3 1 0
1 1 0
2 1 1
1 0 2
1 3 2
2 2 2
10 7
3 0 3
2 1 1
1 3 1
0 2 0
2 3 2
3 0 0
2 2 0
3 3 2
1 1 2
1 3 3
10 9
1 2 2
3 1 0
0 3 2
3 3 1
0 3 3
1 0 1
2 3 1
2 1 0
1 0 3
0 1 2
10 5
2 1 1
3 3 0
2 2 3
2 0 0
0 2 1
2 0 2
1 2 1
3 3 1
1 3 2
2 1 2
10 7
3 3 3
1 1 1
0 2 2
1 2 3
3 2 0
3 1 2
1 0 2
2 2 3
1 0 0
3 0 1
10 9
1 2 1
1 0 0
2 0 2
2 1 2
2 2 0
1 2 0
0 1 2
0 0 0
1 1 1
0 2 0
10 3
1 2 2
0 0 2
2 0 2
0 1 1
2 0 1
1 1 1
2 2 0
2 2 2
0 0 1
2 0 0
10 7
2 0 1
3 3 0
1 2 2
3 1 2
0 2 1
0 3 1
0 0 2
1 0 2
0 1 2
0 2 0
10 5
1 2 1
2 0 0
2 2 0
1 2 2
0 1 1
2 0 2
0 2 0
0 1 0
2 2 2
1 0 0
10 4
2 0 0
0 2 0
0 0 0
2 0 2
1 1 2
0 0 1
0 2 2
0 1 1
2 2 0
1 2 2
10 8
1 2 3
2 1 1
0 2 2
2 0 1
3 0 3
0 2 3
3 1 2
0 2 0
3 2 2
0 3 1
10 3
0 2 3
1 2 0
3 1 3
2 2 3
3 2 3
2 2 0
0 3 3
0 1 0
2 3 0
2 2 1
10 2
3 2 2
2 0 0
2 0 2
0 0 0
2 1 0
0 0 3
1 0 1
1 1 0
3 3 2
2 2 1
10 7
0 3 1
1 2 2
3 3 1
0 1 3
2 1 3
0 3 3
2 2 2
2 0 2
2 3 0
0 3 0
10 2
0 1 0
2 1 1
0 1 1
2 2 2
2 0 1
2 1 2
2 0 0
2 2 1
0 0 1
2 1 0
10 5
1 1 3
3 2 0
1 1 2
3 2 2
2 1 1
3 0 2
1 2 2
2 3 3
2 0 3
3 0 3
10 7
0 2 2
2 3 1
2 1 1
3 2 2
0 1 3
0 0 2
3 3 0
0 2 1
2 2 3
0 1 2
10 5
1 2 0
1 1 0
1 1 1
1 0 0
2 0 1
1 0 1
2 0 0
2 2 2
2 2 1
0 0 2
10 8
0 1 1
0 1 2
2 1 2
1 0 0
1 1 2
1 1 0
2 1 0
1 2 0
1 0 1
1 2 1
10 4
3 1 3
3 0 2
0 1 2
1 3 2
3 0 0
1 2 3
0 3 1
2 0 1
1 0 0
2 3 1
10 4
1 0 0
1 2 1
2 2 3
2 0 2
3 1 3
2 3 2
3 3 0
0 3 2
3 0 0
3 2 2
10 8
0 0 1
0 2 2
2 1 2
1 1 1
0 2 0
1 2 0
2 0 2
0 1 1
2 2 2
0 1 2
10 3
1 2 1
0 0 0
2 0 1
2 2 0
2 0 0
1 2 2
0 2 0
0 1 2
0 2 1
1 1 1
10 2
0 1 1
2 1 0
1 0 1
1 1 0
0 2 0
0 2 1
2 2 2
2 0 0
1 1 2
0 1 0
10 9
1 1 1
3 3 0
0 1 1
3 2 0
0 2 0
3 2 3
3 1 0
1 2 0
2 2 2
2 3 2
10 2
1 0 1
0 1 0
1 1 2
1 1 1
0 0 0
0 2 0
2 2 0
2 0 1
2 0 2
0 1 1
10 5
2 2 1
2 2 0
0 2 0
1 2 2
0 1 1
1 1 2
1 1 1
0 1 0
2 2 2
1 2 1
10 4
3 2 0
3 3 1
0 1 3
3 0 3
2 0 2
2 0 3
1 1 3
1 3 1
2 2 0
2 2 2
10 4
2 1 1
0 2 0
0 1 1
0 2 2
1 0 1
2 1 2
1 2 0
2 2 2
0 0 1
1 1 1
10 9
3 3 3
0 3 0
1 1 3
2 0 3
2 3 2
2 1 3
3 0 3
2 1 0
1 3 1
3 2 1
10 8
1 1 2
1 1 1
2 2 1
0 0 2
0 0 0
2 0 1
2 2 2
0 1 0
2 1 1
1 0 1
10 7
0 2 1
1 2 0
0 2 2
2 2 2
2 2 1
1 2 2
0 1 0
1 1 2
1 0 1
1 1 0
10 4
2 1 2
0 1 1
2 2 0
0 0 0
0 0 2
0 0 1
1 1 1
0 1 2
1 1 0
0 2 1
10 7
0 0 1
2 2 0
3 2 3
1 3 3
2 2 2
3 3 3
1 0 0
1 1 2
1 1 0
3 0 2
10 4
1 2 3
0 2 0
0 3 1
3 2 0
1 3 0
0 2 2
3 3 0
3 3 2
1 0 1
2 3 0
10 9
1 3 2
3 2 0
2 3 0
3 1 0
0 1 3
0 2 1
3 0 0
2 0 0
0 1 2
2 0 1
10 4
3 0 2
3 0 1
0 1 1
0 3 2
1 1 3
3 3 1
2 3 3
2 0 2
3 0 3
0 2 1
10 2
0 2 1
3 1 1
1 3 2
1 2 2
2 3 2
3 3 0
3 1 2
3 1 3
2 1 3
2 2 0
10 9
0 1 1
1 1 1
2 1 2
2 0 1
0 2 2
0 0 2
1 0 0
1 2 1
1 0 2
1 2 0
10 2
1 2 1
1 1 0
0 1 0
3 1 1
0 3 0
0 2 1
0 2 3
1 0 2
3 2 2
0 0 1
10 7
0 2 0
2 1 1
2 2 0
1 1 0
0 1 0
2 2 1
1 2 1
1 2 2
0 2 2
0 1 1
10 7
0 2 1
1 0 2
0 3 2
0 2 0
1 2 0
2 2 3
1 1 2
0 2 3
3 3 2
1 0 0
10 7
1 0 0
2 2 1
2 0 1
1 2 0
0 0 1
0 0 2
2 1 1
0 2 0
2 0 2
2 1 2
10 8
3 2 2
1 0 3
1 2 0
3 0 1
1 1 3
1 3 3
1 1 0
3 1 2
3 2 0
3 0 3
10 4
0 0 0
1 2 2
2 2 1
0 2 2
0 1 1
1 0 0
1 1 0
1 1 2
1 2 0
0 0 2
10 2
0 1 1
3 1 0
3 3 2
3 0 2
3 0 0
1 0 0
0 1 3
2 3 3
3 0 3
0 3 0
10 8
2 1 0
0 2 0
1 2 1
0 1 1
0 0 2
2 1 2
2 2 0
0 0 0
1 0 0
2 0 1
10 8
1 1 2
0 0 0
0 2 1
3 3 1
2 1 2
3 0 0
1 1 0
0 3 3
0 3 0
3 0 3
10 3
1 2 0
0 1 2
2 1 1
0 0 1
0 2 2
1 0 0
0 2 1
2 1 2
2 0 0
1 1 1
10 9
2 1 1
0 0 1
2 2 3
0 1 0
2 0 1
1 2 2
0 2 0
3 1 0
0 0 3
1 2 3
10 6
0 2 0
2 0 2
0 1 0
1 1 2
1 2 1
2 0 1
1 0 0
1 2 0
1 0 1
0 0 0
10 5
1 2 0
1 1 0
1 1 1
0 1 2
1 2 1
2 0 2
2 0 0
0 0 1
0 0 0
2 2 1
10 8
2 0 0
2 3 3
0 1 1
2 1 1
1 1 3
2 3 2
1 1 1
0 2 2
1 3 0
3 3 0
10 5
1 0 0
0 1 1
2 0 0
2 2 2
1 0 1
2 0 1
1 1 0
0 0 1
2 2 0
0 0 2
10 2
2 1 0
2 2 2
3 3 3
3 2 0
0 0 2
3 1 2
3 2 3
3 0 1
3 2 1
1 3 0
10 3
3 1 3
3 1 0
2 0 0
1 1 3
0 2 3
2 2 2
1 2 2
3 0 2
1 0 1
1 0 0
10 5
2 2 2
0 0 1
2 0 0
2 2 0
0 2 1
1 2 2
0 2 0
0 0 0
1 0 1
2 1 2
10 9
3 1 0
3 3 0
0 0 3
3 1 1
1 2 3
3 0 2
0 1 2
1 1 3
0 2 2
1 0 2
10 3
2 0 2
1 0 0
3 2 1
3 1 0
2 3 2
3 3 3
0 1 1
1 2 1
2 2 2
3 1 3
10 5
1 0 1
2 1 2
2 1 0
0 2 2
1 1 2
0 1 2
1 1 1
2 0 2
1 2 2
1 1 0
10 5
2 2 2
2 1 1
0 3 3
0 3 2
3 1 2
2 0 1
0 2 2
1 1 2
3 1 0
0 0 3
10 4
1 2 1
0 0 1
2 1 1
2 1 0
2 0 1
2 0 2
1 1 2
0 1 0
0 0 2
0 1 1
10 2
1 1 0
0 1 0
1 2 0
0 2 0
0 0 1
0 0 2
1 2 2
2 0 0
0 2 1
0 1 1
10 8
0 2 0
2 3 2
1 1 3
2 1 2
2 1 0
3 1 0
3 0 2
1 3 2
1 2 3
3 3 1
10 9
2 3 1
0 2 0
2 2 1
0 2 3
2 0 1
0 1 3
1 1 0
1 3 0
1 1 2
0 0 1
10 6
2 0 1
1 0 1
1 2 1
0 2 2
2 1 1
2 1 2
0 2 0
0 1 1
0 1 2
0 0 0
10 8
0 1 2
2 0 0
2 2 0
1 1 1
0 0 2
0 1 1
1 0 2
1 2 1
2 1 1
1 0 0
10 9
0 3 2
1 2 2
1 1 1
2 0 0
2 2 1
0 0 3
1 1 3
3 3 1
0 0 1
2 2 2
10 3
2 1 2
2 2 0
2 2 2
0 2 1
1 0 0
1 1 1
1 1 0
1 0 1
1 2 2
0 1 0
10 6
0 0 2
0 2 0
2 2 2
2 1 0
0 1 2
0 0 1
2 1 2
1 2 2
0 2 1
1 2 0
10 5
0 0 2
0 0 0
0 1 0
2 1 3
0 3 0
0 2 0
0 3 1
2 2 1
3 0 0
2 3 3
10 5
2 1 2
2 2 2
2 1 0
1 0 0
0 0 1
0 0 0
2 0 1
0 2 1
1 2 2
0 0 2
10 3
2 0 2
2 2 2
1 0 0
1 2 2
2 1 1
2 2 1
1 1 1
0 1 2
2 0 1
2 2 0
10 3
2 2 3
3 1 0
1 2 2
2 1 2
3 3 3
2 3 3
3 2 3
2 0 2
1 2 1
1 0 0
10 7
1 0 1
1 2 3
1 3 3
0 0 3
0 3 0
0 3 3
1 2 1
3 1 3
2 3 3
0 1 3
10 2
2 2 0
2 1 0
1 1 2
1 1 0
0 1 2
2 1 2
2 0 0
2 2 2
0 0 1
1 2 2
10 8
1 1 2
2 2 1
2 3 2
3 2 2
1 2 1
2 0 2
3 2 3
1 3 0
0 0 2
2 0 1
10 2
1 0 1
0 1 1
2 1 0
3 1 0
2 3 1
3 1 2
3 0 3
1 2 2
2 3 0
0 0 1
10 7
2 0 0
0 0 3
1 1 3
0 1 3
3 1 1
1 3 2
3 1 2
2 1 2
0 1 1
2 1 0
10 6
2 2 1
0 0 0
1 2 0
2 2 0
0 2 1
1 2 2
0 1 1
0 1 0
2 1 1
1 0 0
10 2
0 0 2
0 1 0
2 2 2
1 0 0
0 0 0
1 0 1
1 2 1
2 0 1
2 2 0
1 1 1
10 8
2 0 0
0 3 3
1 2 2
2 0 1
3 3 3
3 1 2
3 2 1
1 1 0
3 0 2
1 3 0
10 4
2 2 2
3 2 3
1 2 2
1 2 1
0 1 1
3 0 2
2 2 0
3 3 1
0 1 2
3 2 2
10 9
0 2 2
0 1 1
0 1 2
2 0 2
2 1 2
1 0 2
0 1 0
0 0 1
2 0 1
1 0 0
10 8
2 2 1
0 2 1
0 0 0
0 0 2
1 0 2
2 1 2
2 2 0
1 2 2
2 1 1
1 1 2
10 3
0 0 1
0 1 1
2 1 1
0 1 0
1 0 0
1 2 1
1 1 2
2 0 2
1 2 0
0 2 2
10 6
2 2 2
0 0 2
1 0 0
2 1 0
0 1 0
1 2 1
0 0 0
1 2 0
2 0 2
2 2 1
10 9
0 1 0
3 2 2
2 2 1
1 2 1
1 2 3
2 0 2
1 1 0
3 2 1
0 1 1
2 1 1
10 5
1 0 0
1 0 2
2 2 1
0 0 2
0 1 2
1 2 2
1 1 2
1 1 1
2 1 2
0 2 2
10 9
1 0 1
0 0 1
1 0 0
1 0 2
0 2 2
2 0 1
0 1 0
2 1 1
1 1 0
2 0 0
10 6
3 1 1
1 3 1
1 1 3
2 3 1
1 0 2
2 2 1
3 3 0
2 1 2
0 3 1
2 1 0
10 8
0 3 1
1 3 2
0 2 0
2 3 2
2 1 2
1 0 0
3 1 1
3 1 2
2 2 2
1 3 1
10 7
0 1 3
2 2 2
1 0 1
3 1 1
3 1 3
1 0 3
1 3 2
2 2 3
1 0 0
2 0 2
10 3
2 0 3
1 2 2
3 3 1
0 2 0
2 0 1
1 0 0
1 0 3
2 1 0
1 2 1
1 0 2
10 5
1 1 2
2 2 1
0 1 1
0 3 0
2 0 2
1 2 2
0 2 3
0 3 3
3 3 1
0 3 1
10 3
0 2 3
2 3 2
2 2 0
0 3 3
3 0 0
3 1 1
3 0 3
3 3 3
0 3 1
1 0 2
10 9
1 1 0
0 1 2
0 2 0
1 0 2
2 0 0
2 0 2
1 2 1
0 0 0
0 1 1
2 2 1
10 9
0 0 2
2 1 1
1 0 2
2 2 1
2 0 1
1 1 1
1 0 1
1 1 0
0 0 0
2 1 0
10 6
2 0 0
2 3 2
0 0 2
0 0 1
0 1 1
1 0 1
3 3 2
0 1 2
1 3 3
1 3 0
10 2
2 3 0
1 2 0
1 2 1
0 2 0
2 2 1
3 1 0
1 3 2
1 1 2
3 1 3
1 1 1
10 7
2 2 2
1 1 1
0 2 1
1 2 0
0 0 0
0 0 1
1 0 1
0 1 0
0 1 2
2 0 1
10 6
0 2 2
0 0 2
2 2 1
1 0 2
2 2 0
1 2 2
1 2 1
2 1 1
1 1 1
0 1 2
10 2
1 2 2
2 0 1
2 2 1
0 1 1
2 0 0
1 2 1
0 2 1
0 0 1
0 0 0
2 2 2
10 5
1 0 0
2 2 0
1 1 0
0 2 0
2 1 2
0 2 2
2 0 2
0 2 1
1 2 0
0 0 2
10 8
1 2 2
1 0 0
0 1 2
1 1 0
1 0 1
0 0 1
1 1 2
2 1 0
2 0 1
0 2 2
10 3
2 0 0
2 2 2
2 1 0
1 2 1
0 2 1
0 2 0
1 2 2
1 1 1
1 0 1
0 1 0
10 9
0 1 2
0 2 2
1 1 1
2 1 2
1 0 1
2 2 2
0 1 0
1 2 1
2 0 2
1 1 2
10 7
2 1 0
2 1 1
2 0 0
2 1 2
0 0 1
2 2 1
0 0 2
1 1 2
2 0 1
1 1 0
10 9
3 3 1
2 0 1
1 1 1
3 2 1
1 0 0
1 0 1
0 2 3
1 3 1
3 1 0
2 1 2
10 6
1 2 0
0 1 2
2 0 0
2 1 0
1 0 2
1 1 0
0 0 0
2 1 1
0 0 2
0 1 0
10 7
0 1 1
2 2 0
0 0 0
2 1 0
0 2 1
1 1 2
2 2 2
0 2 0
0 2 2
1 2 1
10 2
2 2 0
1 0 0
1 3 3
1 3 1
2 3 0
3 0 2
1 1 2
0 0 1
1 1 0
3 0 0
10 8
1 3 3
3 3 1
1 3 0
2 0 2
3 2 0
3 1 1
3 1 0
2 2 3
1 1 0
0 3 0
10 2
3 2 1
3 3 1
2 3 2
1 0 3
1 1 3
3 2 2
0 0 2
2 1 2
2 2 2
1 3 1
10 7
3 1 0
1 0 1
2 2 3
2 1 2
2 0 3
3 3 1
0 3 3
3 2 3
2 1 0
2 3 1
10 2
0 2 2
1 1 1
0 0 2
2 2 0
0 1 1
1 2 1
2 2 2
2 1 0
1 1 2
2 0 1
10 8
1 0 0
2 3 2
0 1 2
0 2 3
3 1 2
1 0 2
2 0 3
2 1 3
3 3 3
0 0 0
10 3
0 2 0
2 0 0
1 0 2
2 0 1
2 2 2
0 0 1
2 1 2
1 1 2
0 1 1
2 0 2
10 4
2 0 2
2 2 1
2 2 2
1 1 2
0 0 2
0 0 0
2 1 1
1 0 0
1 1 1
0 1 1
10 5
2 0 1
3 3 3
0 3 1
3 2 1
0 1 1
3 0 2
2 0 0
2 1 3
3 1 1
2 1 1
10 3
2 0 2
0 0 2
2 1 2
1 2 0
1 0 0
0 0 1
2 0 0
1 0 2
0 0 0
2 2 1
10 3
0 1 0
1 3 0
1 3 1
3 0 2
2 2 3
3 2 2
2 0 0
1 0 0
2 1 1
2 3 1
10 9
1 2 2
1 0 2
0 2 1
1 1 2
0 0 2
0 2 2
2 1 1
0 1 1
0 0 1
0 2 0
10 6
1 0 0
0 1 0
1 1 1
1 2 0
0 0 1
2 0 0
2 0 2
0 2 1
0 1 2
0 2 2
10 5
2 0 0
0 0 2
1 2 0
1 1 2
1 0 2
2 1 1
1 0 0
2 2 2
2 0 2
0 0 0
10 6
2 1 0
3 0 2
0 1 0
1 1 1
1 0 1
2 0 1
1 3 3
2 0 3
1 3 1
3 0 0
10 3
2 2 0
3 1 0
2 1 2
1 2 1
3 1 1
3 2 2
2 0 2
3 0 0
1 0 3
1 2 3
10 5
2 1 1
0 1 2
2 1 2
2 0 0
1 2 2
0 0 1
2 0 2
0 0 0
1 1 1
0 2 0
10 6
1 2 2
0 0 0
1 1 0
0 2 0
0 1 2
1 1 1
0 0 1
2 1 1
1 0 0
0 0 2
10 4
0 0 3
2 0 1
2 1 0
0 3 0
1 2 2
2 3 1
1 1 1
0 3 2
3 0 0
3 3 0
10 6
1 3 2
1 2 3
3 0 2
0 3 1
0 2 3
1 1 2
2 3 2
3 3 3
2 3 0
3 2 2
10 4
1 2 1
1 0 0
1 0 2
1 1 0
2 2 1
2 0 0
2 0 2
1 2 0
0 0 0
2 1 0
10 8
1 0 2
2 0 1
1 2 0
1 1 0
0 2 2
0 2 1
0 2 0
2 2 2
2 1 1
1 0 0
10 4
2 2 2
2 2 0
0 2 2
1 1 1
1 0 1
0 1 0
1 0 2
1 2 0
0 2 1
2 2 1
10 5
3 1 1
2 0 1
0 3 1
2 2 1
0 0 0
3 1 3
3 3 1
2 3 3
2 1 2
2 3 1
10 5
2 3 0
2 3 2
3 3 1
1 3 0
2 0 3
0 3 2
3 1 3
2 0 1
2 1 2
1 3 2
10 9
0 0 2
2 1 1
2 2 2
1 1 2
1 0 1
1 2 1
0 2 2
2 0 2
0 2 0
2 0 1
10 7
3 0 2
0 2 1
0 2 0
1 1 3
1 3 2
2 0 0
0 3 2
3 3 2
0 0 1
2 1 1
10 5
0 1 1
2 1 2
1 0 1
0 2 1
0 0 0
0 1 0
2 2 2
1 0 0
0 2 0
1 2 2
10 4
1 0 0
2 1 2
1 2 2
0 2 0
0 1 0
2 0 2
1 2 1
1 1 0
1 0 1
0 2 1
10 9
2 0 0
2 1 2
1 2 1
0 1 0
2 0 2
1 0 1
0 0 1
0 2 2
1 0 0
2 0 1
10 7
2 3 0
3 3 3
1 2 3
3 3 1
3 3 2
1 0 2
1 1 0
0 3 2
3 3 0
1 0 1
10 4
1 2 2
3 1 0
1 1 3
1 0 3
0 0 2
1 2 3
2 1 1
2 1 0
0 3 3
0 1 1
10 4
3 2 1
3 0 3
3 3 2
2 3 0
0 2 2
0 1 0
3 2 0
0 2 1
0 3 2
0 0 1
10 5
2 0 2
1 0 1
0 0 2
1 2 0
0 2 0
1 0 0
2 1 2
0 2 2
1 1 2
0 1 1
10 4
2 3 1
0 0 3
1 3 3
0 1 2
0 2 2
2 3 0
2 0 3
1 2 0
2 1 1
2 1 0
10 6
3 3 2
0 3 0
2 1 3
0 0 2
0 2 0
1 2 0
2 2 1
3 0 2
3 2 3
3 2 0
10 4
2 2 1
1 2 2
0 1 0
2 1 2
1 2 0
2 2 2
2 1 0
1 0 2
1 1 2
1 0 0
10 4
0 2 1
1 2 2
0 2 0
2 0 2
1 0 0
2 2 0
1 1 2
0 0 2
0 1 2
1 0 1
10 2
0 2 0
0 1 0
2 2 2
1 3 2
1 1 1
3 0 1
2 3 2
3 2 0
1 2 2
0 0 3
10 4
2 1 1
1 2 2
1 1 2
2 2 1
2 0 0
2 2 0
1 0 0
0 1 1
0 2 0
1 2 0
10 6
0 2 2
0 0 0
1 2 2
2 2 1
0 0 2
1 1 2
0 2 0
2 1 1
1 1 1
1 0 2
10 6
0 1 2
2 3 3
1 2 0
1 2 2
1 1 2
2 0 3
2 2 3
1 0 0
3 0 2
1 0 2
10 5
1 1 1
1 2 1
0 0 0
2 2 1
2 2 2
0 1 0
1 2 2
2 2 0
1 2 0
0 2 1
10 7
3 3 1
1 0 3
2 3 3
3 3 2
3 1 1
2 2 0
0 0 1
3 2 2
0 1 1
1 3 0
10 3
2 0 2
1 2 2
0 1 0
1 1 1
0 2 0
2 1 0
1 2 0
0 2 2
0 0 1
2 1 1
10 8
1 3 0
3 3 0
1 2 3
0 1 1
3 1 3
1 2 1
1 3 1
2 0 3
3 3 2
0 2 1
10 7
3 2 3
0 1 2
3 1 1
0 3 0
2 0 0
3 1 2
2 3 1
0 3 3
2 3 2
3 2 0
10 4
0 0 0
1 0 0
1 1 2
2 0 1
0 0 2
0 2 2
2 1 0
1 1 1
2 1 2
1 2 2
10 2
1 1 1
1 0 3
2 2 2
0 2 3
3 1 2
0 2 2
3 3 1
1 1 2
2 1 1
2 0 0
10 2
0 1 2
1 2 2
2 1 1
2 0 1
0 2 0
1 0 1
2 2 2
0 1 0
1 0 0
2 2 0
10 5
3 3 0
0 3 3
0 1 3
2 2 3
2 3 2
3 3 2
0 2 2
3 2 2
1 3 3
1 3 1
10 7
3 0 1
0 3 1
2 0 0
3 3 2
3 0 2
2 3 1
0 2 3
2 1 0
3 3 1
2 2 0
10 5
1 1 1
0 0 2
3 2 0
3 1 0
1 2 2
0 2 3
2 3 1
1 2 1
0 3 3
0 0 3
10 7
2 2 2
0 2 1
1 0 0
0 3 2
2 0 0
2 3 2
1 2 3
0 1 0
1 1 0
2 1 0
10 3
2 2 2
2 3 1
0 3 1
3 0 0
2 3 2
3 1 1
3 1 3
1 3 0
0 1 1
1 0 3
10 4
2 0 1
2 2 2
1 2 2
1 0 1
0 1 2
0 2 3
3 1 3
2 0 0
1 2 0
0 2 2
10 2
0 0 2
0 2 1
3 0 1
2 3 3
1 1 0
3 2 0
1 0 3
3 3 0
2 0 2
3 1 1
10 6
1 1 2
0 1 1
2 2 2
1 2 2
0 0 1
0 1 0
1 2 0
1 1 1
2 2 0
1 0 0
10 8
0 2 1
2 0 0
0 0 1
1 1 2
2 1 0
1 0 0
0 0 0
0 2 2
0 1 2
2 2 2
10 3
0 2 2
2 0 0
0 0 1
1 0 0
2 1 1
1 2 2
0 0 2
0 2 1
2 0 2
2 1 0
10 2
3 0 0
3 2 1
2 3 3
1 1 3
2 3 0
3 3 1
0 1 2
2 3 2
1 3 3
1 2 2
10 5
2 2 1
0 2 2
0 1 1
1 0 1
2 2 2
1 1 2
0 0 2
1 1 1
0 0 1
1 1 0
10 5
2 1 0
2 1 2
1 0 2
1 1 2
0 0 1
2 2 2
2 2 0
0 1 1
2 0 2
0 1 0
10 2
0 0 0
2 3 2
2 1 2
1 1 1
0 3 3
3 1 1
1 0 2
0 0 3
1 3 2
2 3 0
10 4
0 1 0
1 0 3
0 2 1
3 2 2
3 3 3
3 3 2
2 1 2
3 3 1
1 0 2
1 2 1
10 4
2 1 3
0 1 2
2 3 3
0 2 0
2 0 3
2 0 0
0 1 0
3 1 0
0 3 0
2 0 1
10 9
1 2 1
2 2 1
3 0 3
0 3 3
2 1 0
0 0 0
3 2 1
0 0 3
2 3 3
0 2 2
10 5
0 2 2
0 1 3
2 0 2
2 1 2
0 3 2
0 0 1
3 2 1
2 0 3
3 3 2
2 2 0
10 8
0 0 1
3 3 1
3 3 2
3 1 0
1 0 3
2 2 2
2 3 3
2 1 0
1 1 2
2 1 2
10 7
0 0 1
2 0 2
0 1 2
0 2 1
2 1 1
1 1 2
1 1 0
1 2 2
2 2 2
1 2 1
10 4
2 0 0
1 0 1
0 0 0
0 0 2
2 2 1
0 1 0
1 1 0
2 0 1
0 2 0
1 0 0
10 7
2 0 1
1 1 0
0 2 1
2 0 0
2 1 1
1 0 0
2 2 0
0 0 0
2 0 2
1 1 2
10 3
1 1 3
2 3 0
1 2 0
1 0 0
2 2 0
2 1 2
3 3 3
0 1 0
2 0 1
2 1 0
10 7
0 2 0
0 2 2
0 0 2
0 1 1
2 0 0
0 2 1
1 0 0
2 2 2
1 1 0
0 0 1
10 7
2 0 1
2 1 1
0 1 0
1 0 0
2 1 2
1 1 2
0 0 1
1 2 2
0 0 2
2 0 2
10 7
1 2 2
0 2 0
0 2 2
1 0 0
1 1 0
1 2 1
0 1 2
0 1 0
0 2 1
2 2 2
10 5
1 1 2
1 2 0
2 0 2
0 2 0
0 0 0
1 1 0
1 0 2
2 0 1
0 1 2
0 1 1
10 5
1 3 2
3 0 0
0 2 3
3 1 2
1 3 3
3 0 3
3 2 0
3 1 1
2 1 2
2 0 2
10 3
3 1 0
0 1 3
1 0 1
2 2 0
1 3 2
0 0 2
2 1 1
1 0 2
2 0 2
2 3 0
10 9
1 1 1
2 1 0
1 2 0
2 0 1
0 1 0
0 2 1
0 2 2
1 2 2
0 1 1
1 1 0
10 6
0 3 0
3 0 1
1 0 2
1 2 3
0 1 1
2 2 3
1 1 1
2 3 3
0 0 1
0 1 2
10 4
2 3 3
2 2 2
3 3 0
1 0 0
1 1 0
3 2 0
1 2 0
1 1 1
2 0 1
2 0 0
10 8
2 0 1
3 2 1
2 0 0
3 2 0
1 2 0
0 1 0
3 3 2
2 2 2
1 3 1
3 1 3
10 9
0 2 1
2 0 2
1 1 0
2 1 0
2 0 1
1 2 2
2 1 1
2 2 2
0 0 2
1 2 0
10 2
2 2 1
1 3 2
0 3 3
2 1 2
3 3 0
1 3 0
3 0 0
2 3 1
0 0 0
3 0 1
10 9
0 3 0
0 3 3
0 1 3
0 1 2
2 2 1
1 1 1
2 2 0
0 2 0
3 1 1
1 3 0
10 6
0 3 2
3 3 2
3 0 0
2 0 1
2 2 1
1 3 1
0 1 0
1 3 0
1 2 1
3 3 1
10 9
0 1 1
2 0 1
2 1 2
1 1 1
0 0 1
1 2 0
2 1 0
1 1 2
2 0 0
0 2 2
10 6
0 1 0
2 0 2
2 0 1
0 0 0
1 2 0
1 2 1
1 0 0
0 0 2
2 2 1
0 2 1
10 3
2 1 0
1 1 2
2 0 0
0 0 2
0 1 1
1 0 2
2 0 1
2 2 1
0 1 0
2 1 1
10 9
2 1 1
2 1 0
0 1 0
0 1 2
0 0 1
1 1 0
0 1 1
2 1 2
1 2 0
2 2 0
10 6
0 1 2
1 2 0
0 0 0
0 1 0
2 1 1
2 1 0
2 2 0
2 0 0
0 1 1
1 0 1
10 7
3 3 2
0 2 2
2 1 2
2 0 2
2 2 0
1 3 2
2 3 3
1 0 1
0 3 0
0 3 1
10 9
2 1 2
2 0 2
2 1 1
2 2 0
1 1 0
0 0 0
0 0 2
0 1 0
2 0 1
0 1 2
10 6
1 2 2
2 0 1
0 1 0
2 2 1
2 1 2
0 0 2
2 1 1
1 0 0
1 0 2
0 0 1
10 3
2 0 2
0 0 1
1 2 2
0 0 2
1 0 1
1 2 0
2 0 0
0 0 0
0 2 2
1 2 1
10 9
0 3 3
2 2 0
1 1 3
3 3 0
0 1 2
3 0 0
1 1 1
3 2 1
0 0 2
2 1 1
10 6
0 0 0
2 2 2
2 2 1
2 0 1
0 0 2
2 2 0
0 1 0
1 1 0
1 0 0
0 2 0
10 8
3 0 2
2 1 2
2 3 1
2 1 3
1 0 3
0 1 1
3 2 1
0 3 1
1 1 3
0 0 1
10 5
2 0 1
2 0 2
1 2 0
2 1 0
0 1 2
0 2 2
1 2 2
0 0 1
0 1 0
1 0 0
10 4
2 2 2
0 1 0
1 2 0
1 1 0
2 2 0
1 1 2
0 1 1
0 0 2
0 2 2
1 0 2
10 6
2 0 2
0 2 0
0 1 0
1 2 1
0 0 2
1 0 1
2 0 1
0 0 0
1 2 0
0 1 1
10 6
0 1 1
1 0 0
0 2 0
2 1 2
2 2 0
1 2 2
2 1 0
1 1 1
2 0 0
0 1 2
10 2
0 2 0
2 1 1
1 0 2
1 2 1
2 1 2
0 3 2
0 1 3
0 3 3
0 0 3
3 3 2
10 8
1 1 1
2 2 2
0 2 2
2 0 1
0 0 0
2 2 0
1 0 2
1 1 2
2 0 0
1 2 1
10 9
1 0 3
0 3 2
0 3 1
0 2 0
3 3 0
2 2 1
1 3 0
1 0 2
2 3 1
1 0 1
10 4
1 1 1
1 2 2
2 1 0
0 0 2
1 2 1
1 0 2
1 2 0
1 0 1
0 0 0
2 2 0
10 9
1 2 0
0 1 1
1 0 1
2 2 1
2 0 2
0 1 0
0 0 2
1 0 2
2 1 0
1 1 1
10 2
3 1 1
3 0 2
1 1 2
0 0 0
0 1 0
2 0 0
2 2 2
0 1 3
0 3 0
2 0 2
10 3
0 0 2
1 3 1
2 2 3
2 2 2
2 3 1
3 3 1
1 0 2
3 0 1
0 2 1
1 2 2
10 8
0 0 0
1 0 2
0 1 2
1 2 0
0 2 1
2 0 1
2 0 2
1 0 1
1 1 1
1 0 0
10 7
1 2 1
0 2 0
2 0 2
1 0 1
0 0 2
0 1 0
0 1 1
2 0 1
2 2 1
0 1 2
10 2
1 1 0
1 1 2
2 0 0
0 0 2
2 0 2
0 0 0
1 2 1
0 1 0
0 1 1
0 2 0
10 2
1 0 1
2 0 0
0 1 2
0 2 0
2 0 2
1 0 2
0 2 2
1 2 0
2 2 1
0 0 1
10 3
1 2 2
1 0 1
2 0 0
1 2 0
2 0 1
0 1 1
0 0 0
2 2 0
1 1 0
2 2 1
10 7
2 1 0
3 3 3
1 1 0
0 1 0
3 3 1
2 0 3
2 2 0
3 0 2
3 1 2
1 1 2
10 3
0 1 0
1 0 0
0 1 2
3 1 2
2 2 3
2 1 3
3 3 3
3 3 2
2 2 0
2 0 3
10 4
2 3 1
0 2 1
0 3 3
3 1 3
2 0 0
3 3 2
3 0 1
1 2 0
3 1 1
1 3 2
10 7
0 0 1
1 1 1
3 3 3
1 0 2
2 3 0
2 0 1
1 3 3
1 2 0
2 0 3
3 0 0
10 2
3 3 3
2 3 3
0 3 0
1 3 2
0 3 2
3 1 3
1 1 2
2 0 0
2 2 2
3 1 1
10 5
1 1 0
2 2 1
2 1 1
1 0 0
2 1 2
2 0 0
0 1 1
2 0 2
0 1 2
1 2 2
10 7
0 1 0
0 0 1
1 2 1
2 1 0
1 0 1
1 2 2
2 1 1
2 0 0
2 0 1
2 2 2
10 6
2 1 1
1 2 1
1 2 0
2 2 2
2 2 1
1 0 2
1 1 2
0 1 2
1 0 0
0 0 0
10 7
0 1 3
0 3 2
3 1 1
1 3 3
1 3 1
3 3 1
2 3 0
1 3 0
0 1 1
2 2 0
10 4
2 2 0
0 2 2
2 1 1
0 0 2
1 1 0
0 0 1
0 1 0
2 2 2
1 2 2
1 1 2
10 8
3 2 0
0 3 1
3 3 3
3 2 2
0 1 1
0 2 1
0 3 0
1 0 2
0 0 2
0 2 3
10 6
1 0 1
2 0 2
1 1 2
0 2 2
0 0 0
0 0 1
0 1 0
1 1 1
0 2 0
0 2 1
10 9
1 1 1
2 2 1
0 2 1
1 1 2
0 0 2
2 2 2
1 2 2
0 1 0
0 0 0
2 0 2
10 3
0 2 2
1 2 2
0 2 1
0 1 1
2 2 0
1 0 1
1 1 2
0 1 2
0 0 2
0 1 0
10 8
2 2 1
0 0 1
1 1 0
0 1 0
1 1 1
0 2 0
1 2 1
0 1 1
1 0 0
1 0 2
10 5
1 2 0
0 0 1
0 1 1
2 2 1
0 0 0
1 1 1
2 2 0
2 1 0
2 1 2
2 0 2
10 6
2 2 2
0 2 1
1 0 1
0 1 2
0 2 0
0 0 1
2 2 0
1 2 2
1 1 1
2 0 0
10 9
1 1 0
0 0 2
1 1 1
2 1 2
0 2 2
1 1 2
2 1 0
0 1 2
2 1 1
0 2 0
10 8
1 0 3
0 2 1
3 2 0
1 2 0
0 0 3
0 1 3
0 1 2
3 2 2
1 0 2
3 3 0
10 6
1 2 2
2 0 1
2 2 1
0 1 0
2 1 1
1 2 1
0 0 1
0 1 1
0 1 2
2 2 0
10 8
0 0 1
2 1 2
2 0 3
1 3 0
1 0 3
0 2 2
1 2 2
1 0 2
2 1 3
3 2 2
10 6
1 1 3
3 3 2
0 0 2
3 2 3
1 1 2
2 1 2
2 3 3
1 1 1
0 1 0
3 0 3
10 4
3 3 2
0 2 2
0 3 1
0 2 3
0 1 0
1 0 2
3 1 3
2 0 0
0 0 3
3 0 1
10 4
0 1 1
1 2 0
3 1 2
0 1 0
2 1 2
3 3 1
1 3 0
1 0 1
0 2 2
0 0 0
10 6
0 2 0
0 1 1
1 2 1
2 2 0
0 0 1
0 0 2
2 2 2
1 2 2
0 1 0
0 0 0
10 6
0 0 3
0 0 1
3 0 3
1 2 3
2 2 0
3 3 2
2 1 3
1 2 1
0 3 1
3 0 1
10 8
2 0 2
0 2 1
1 0 0
2 2 2
1 1 2
0 0 1
1 2 1
0 1 1
0 1 0
2 1 0
10 3
0 0 2
2 2 2
1 2 2
0 0 0
0 1 0
1 1 1
1 1 0
0 1 2
1 0 0
2 0 1
10 6
0 2 2
2 1 2
2 0 2
2 2 0
0 2 0
1 0 0
2 1 0
2 2 1
1 1 2
2 0 0
10 2
3 0 1
3 0 3
3 1 2
1 2 1
2 1 2
1 0 3
3 3 1
1 2 3
1 0 1
1 0 2
10 2
3 0 1
2 1 2
2 1 1
0 0 3
2 0 3
2 3 1
2 0 0
2 2 1
2 1 3
0 3 1
10 3
0 2 0
1 0 2
1 2 2
1 1 1
1 1 2
2 2 2
2 1 1
0 0 2
0 2 2
1 0 0
10 8
1 0 0
1 0 2
2 0 0
1 2 2
0 1 1
2 2 2
1 1 2
1 2 0
0 0 1
1 0 1
10 8
2 2 1
0 2 0
2 0 1
0 1 1
2 1 0
1 2 2
1 1 2
1 1 1
0 2 2
2 1 2
10 5
1 1 1
1 1 2
3 0 1
0 1 3
0 1 0
2 1 2
1 3 2
2 2 3
1 2 1
2 3 1
10 3
1 0 1
0 0 0
2 2 1
0 1 1
0 2 0
2 1 0
2 0 2
1 0 2
2 2 2
1 2 0
10 6
0 0 2
0 0 0
0 3 1
3 3 0
3 1 3
3 0 2
3 0 3
2 3 1
3 0 1
1 1 0
10 3
1 1 0
1 1 1
0 2 0
2 1 1
2 0 1
0 2 2
0 0 2
2 1 2
2 0 0
2 2 1
10 9
0 1 2
0 2 0
2 2 2
2 1 0
1 2 1
1 0 0
2 1 2
0 0 0
0 2 1
0 2 2
10 2
2 1 0
2 2 1
2 2 0
1 1 2
1 0 1
0 2 1
1 1 1
2 2 2
0 1 1
2 0 1
10 9
0 2 0
1 2 1
1 1 0
1 2 2
0 1 2
2 2 1
0 2 2
0 2 1
2 0 1
2 1 2
10 7
3 1 1
3 2 1
2 1 3
0 2 3
2 0 3
0 1 0
1 3 2
1 3 1
3 2 2
1 1 0
10 3
0 2 1
1 1 2
1 1 1
0 1 2
0 0 1
1 0 0
1 0 1
2 1 0
2 1 2
2 1 1
10 3
2 1 0
3 0 2
0 0 2
1 1 1
3 1 3
1 3 0
1 3 3
0 1 3
3 0 0
0 0 1
10 4
2 0 1
2 1 1
1 0 0
1 2 2
1 1 2
0 1 1
0 1 2
0 1 0
2 0 0
2 2 1
10 6
2 0 3
1 3 2
2 3 1
1 2 1
0 0 2
1 3 0
3 2 1
2 0 2
0 2 3
2 1 1
10 2
0 1 0
0 0 2
2 0 1
2 0 0
1 2 0
2 1 0
0 0 0
0 2 2
2 1 2
1 0 2
10 8
3 0 2
2 3 2
2 3 0
2 2 1
3 3 2
3 0 1
1 3 0
2 0 0
1 2 2
0 1 1
10 3
0 3 0
3 0 1
2 3 3
3 3 1
2 2 1
1 1 3
2 3 2
2 3 1
0 3 3
2 1 0
10 3
2 0 0
2 2 1
0 1 1
2 0 2
2 1 0
2 2 0
0 1 0
1 0 0
0 2 0
1 2 0
10 8
2 0 3
3 3 3
2 1 1
3 2 2
1 3 0
1 2 3
2 2 2
2 1 2
0 2 2
2 1 0
10 7
1 0 0
1 0 2
0 0 0
0 1 0
2 2 2
2 1 0
2 1 2
0 0 1
2 0 0
2 0 1
10 9
0 2 1
1 2 3
0 1 3
2 3 0
0 1 1
2 3 2
2 0 1
2 1 0
1 0 0
1 2 1
10 2
1 3 0
2 2 3
3 3 3
0 0 3
0 0 2
2 1 1
0 1 0
2 3 3
0 2 0
0 1 3
10 2
0 2 1
2 0 3
2 3 3
1 3 1
2 0 2
0 3 1
3 3 3
2 2 2
1 0 3
3 3 1
10 8
1 3 1
1 2 2
0 0 0
2 1 3
0 3 3
1 1 0
2 2 3
0 2 1
3 1 2
3 0 2
10 7
3 1 0
1 1 2
1 3 0
0 2 1
3 0 1
2 2 2
3 2 1
3 0 2
0 2 3
0 3 3
10 5
0 2 3
2 2 2
3 1 2
3 1 3
0 3 2
1 2 0
3 1 0
2 0 1
0 3 3
1 1 3
10 5
0 1 0
3 0 1
1 1 0
1 2 3
1 2 0
3 1 3
2 1 3
2 2 2
2 2 0
0 3 3
10 3
1 2 0
2 1 1
1 1 0
2 0 0
0 2 1
0 1 0
1 0 0
0 1 2
0 1 1
2 0 2
10 2
0 3 2
0 2 1
1 0 2
2 3 2
2 2 2
0 0 3
3 0 1
3 2 3
1 2 1
0 1 1
10 2
2 2 0
1 1 1
0 1 0
0 2 1
1 0 0
0 1 1
1 2 1
1 0 2
2 0 1
0 1 2
10 9
0 0 1
2 1 2
1 1 1
1 2 1
0 1 1
0 2 2
2 2 1
2 0 0
2 1 0
0 1 0
10 5
0 1 2
2 0 0
2 3 2
3 3 2
3 2 1
2 1 0
0 3 2
0 3 0
3 0 1
3 1 0
10 9
0 1 3
1 1 3
1 3 2
2 1 2
3 3 2
1 2 0
0 0 1
0 0 0
1 0 0
0 2 2
10 4
2 1 0
2 2 1
1 1 0
0 1 2
2 2 0
1 0 0
0 0 1
2 1 1
2 2 2
0 0 0
10 4
2 1 2
0 1 2
1 0 1
1 1 0
1 2 1
1 2 2
2 0 1
0 2 0
1 1 2
2 1 1
10 2
1 3 0
3 3 0
0 2 0
1 1 1
1 2 3
1 3 3
1 2 2
0 1 0
1 1 0
2 0 3
10 3
1 1 0
2 1 2
2 2 2
1 2 0
1 2 2
1 0 2
0 1 0
0 2 0
1 1 2
1 2 1
10 4
1 0 2
2 2 0
0 0 0
1 2 0
1 1 0
1 1 1
2 0 2
2 0 1
0 1 1
1 0 1
10 4
1 2 1
1 3 2
1 1 1
1 3 1
3 0 0
2 1 3
2 0 3
0 3 1
2 2 3
0 1 1
10 9
0 1 0
0 0 0
1 2 2
1 2 1
2 1 2
0 2 2
0 1 1
2 2 0
2 2 1
2 0 2
10 4
1 2 0
2 3 1
3 2 0
3 0 0
3 2 2
0 0 0
2 2 3
3 1 0
2 0 3
0 0 3
10 5
0 2 3
2 0 3
1 1 1
2 1 0
1 1 3
0 3 2
0 3 3
1 3 1
3 0 3
3 3 3
10 3
2 1 1
0 2 3
2 2 2
0 3 2
1 1 0
0 0 0
3 2 0
1 2 1
3 3 1
0 2 1
10 8
1 0 1
2 2 0
1 1 0
1 0 2
2 1 0
1 1 2
1 2 2
2 2 1
2 1 2
1 0 0
10 7
3 1 2
3 2 0
3 1 3
3 3 1
1 2 0
0 1 0
1 3 1
2 3 2
0 1 2
2 2 0
10 8
2 3 3
1 2 0
3 2 1
1 3 0
0 2 0
1 3 1
0 2 2
3 3 3
2 1 2
1 0 0
10 9
0 1 0
1 1 1
1 1 0
0 2 1
2 0 1
2 1 1
0 1 1
1 0 1
0 2 0
1 1 2
10 4
0 1 1
2 1 1
2 2 0
2 0 2
1 2 0
1 0 0
2 1 0
1 1 2
1 1 1
2 0 1
10 3
0 2 0
2 1 1
2 2 2
0 0 0
0 1 1
2 1 2
1 1 2
1 2 0
0 1 2
2 0 1
10 7
2 2 0
0 2 0
0 1 1
2 1 0
1 2 2
1 1 2
1 2 1
1 1 1
2 2 2
0 1 2
10 2
2 1 0
1 2 1
0 0 2
1 1 1
0 2 2
2 0 2
0 2 1
0 0 1
0 0 0
1 0 2
10 6
1 3 1
2 3 2
0 1 1
0 3 0
0 2 3
1 3 2
3 2 3
3 2 0
1 0 2
1 0 0
10 4
2 0 2
2 0 1
1 2 2
1 2 0
0 1 2
0 0 2
0 2 0
2 0 0
0 1 1
1 0 1
10 3
3 2 0
1 1 2
3 0 3
0 3 2
0 1 2
3 2 1
1 2 3
2 2 0
2 0 1
3 3 2
10 8
3 0 1
3 0 2
2 1 0
3 1 0
1 3 0
1 2 2
0 0 3
0 2 1
3 2 3
0 0 1
10 4
2 0 3
2 0 2
3 1 2
2 0 1
2 2 0
0 2 3
3 2 0
3 1 1
3 3 0
2 0 0
10 7
1 2 2
1 0 2
2 0 0
1 1 0
2 0 2
2 1 1
0 1 0
1 1 1
2 0 1
0 0 1
10 8
2 1 3
0 3 3
1 0 0
2 0 0
3 2 0
3 1 3
2 1 2
1 3 0
2 3 1
2 0 2
10 2
3 2 1
0 1 1
1 0 0
2 3 3
2 0 1
1 0 1
0 0 0
0 3 2
3 0 0
2 2 1
10 8
0 2 3
1 3 3
0 2 2
0 1 2
1 1 2
2 3 2
0 1 0
3 2 0
0 0 0
1 2 2
10 4
1 0 3
1 2 3
1 0 2
3 0 2
2 3 3
0 0 2
2 0 2
2 3 0
3 2 3
2 3 1
10 8
0 0 0
2 0 2
2 2 1
2 1 1
2 1 0
0 1 1
1 0 2
0 0 2
2 0 0
2 2 2
10 8
2 0 2
2 3 2
0 0 3
1 0 0
3 3 2
2 1 0
1 1 1
2 3 3
0 3 2
3 1 3
10 7
1 3 3
1 1 3
0 0 0
1 0 2
3 0 0
2 1 0
1 3 1
0 3 3
0 1 3
3 0 1
10 9
0 0 0
3 2 2
3 1 3
3 3 1
1 0 3
1 1 3
3 3 3
2 2 1
0 3 2
3 0 0
10 8
0 2 1
0 0 3
1 3 0
0 1 2
3 3 3
2 0 0
0 2 2
2 2 1
2 2 2
3 1 0
10 5
1 0 0
0 2 1
2 2 0
0 2 0
1 0 1
2 0 1
2 1 0
2 2 2
2 1 1
1 1 2
10 9
0 1 3
1 3 3
3 1 3
0 2 0
2 1 3
2 3 1
3 0 0
1 3 2
3 3 1
3 2 2
10 7
2 1 1
2 0 2
0 0 2
1 0 1
2 0 1
1 0 0
1 1 2
0 1 2
1 1 1
0 1 1
10 4
3 1 3
1 3 3
3 2 3
3 3 0
1 1 0
1 1 1
1 1 3
0 0 2
0 0 3
2 3 2
10 8
1 3 0
1 2 1
2 0 1
2 2 3
0 0 1
0 1 0
3 2 3
1 1 1
2 0 3
1 2 2
10 4
1 0 3
0 3 2
1 2 2
3 0 3
0 2 0
1 3 0
1 1 0
3 2 2
1 0 0
0 3 0
10 3
1 0 1
1 1 0
2 0 2
1 2 1
0 2 1
2 2 1
0 0 2
0 0 1
2 1 2
2 1 0
10 5
2 2 1
1 0 1
0 2 1
0 0 2
0 1 1
0 0 1
1 2 1
2 2 2
1 0 2
0 1 2
10 9
3 1 3
1 2 3
2 3 2
1 0 0
1 1 3
1 2 0
0 3 3
2 0 0
3 1 0
2 1 1
10 2
3 3 3
3 0 2
2 3 1
1 2 1
0 0 3
2 0 2
1 1 1
2 0 3
2 3 0
2 1 2
10 7
2 2 1
2 0 2
2 1 3
0 1 1
3 3 2
3 0 0
0 3 3
0 3 2
2 0 1
3 1 0
10 8
3 1 0
2 2 0
0 0 2
2 3 1
2 1 2
1 0 3
3 3 3
3 0 1
0 3 2
2 2 1
10 4
2 3 1
0 1 3
3 2 2
3 0 1
2 3 0
1 1 0
3 2 0
2 0 0
0 1 0
0 0 2
10 9
0 1 1
2 2 2
0 2 0
1 2 0
0 0 1
1 1 0
1 2 2
1 0 1
2 0 0
1 1 2
10 2
3 0 2
1 1 0
2 1 1
1 0 3
3 3 0
2 2 2
0 2 2
3 0 0
1 3 3
2 1 3
10 3
0 1 0
1 1 1
1 1 2
0 1 2
1 2 2
0 1 1
0 2 0
1 2 1
2 0 0
2 1 0
10 8
2 0 0
0 2 2
0 2 1
2 0 2
1 1 2
2 1 0
2 2 1
0 1 0
0 2 0
2 1 2
10 3
2 0 1
1 1 1
1 2 0
1 2 2
2 0 2
0 2 0
1 0 2
2 1 2
0 1 2
0 2 2
10 2
2 1 1
0 1 0
1 0 1
0 1 2
1 2 0
2 2 1
0 0 0
1 0 2
0 0 1
2 0 0
10 9
0 1 2
0 2 0
1 1 2
2 1 2
2 1 0
2 2 2
0 0 2
0 2 1
2 0 2
0 1 0
10 4
3 2 0
2 0 0
3 2 1
1 2 0
0 2 1
0 2 0
0 3 1
1 0 2
3 3 1
3 0 3
10 7
3 1 3
0 0 0
3 0 3
3 2 1
3 2 0
0 2 2
3 0 1
3 3 3
2 1 2
0 1 3
10 5
0 3 1
0 2 0
0 0 3
2 1 1
1 1 3
1 2 3
1 1 1
2 0 1
1 3 3
1 1 0
10 9
0 0 0
2 2 1
3 0 0
3 1 2
2 2 3
0 2 0
1 3 3
1 1 3
2 3 2
3 3 2
10 6
1 3 1
2 2 2
0 2 2
1 0 1
2 1 1
1 1 1
2 3 0
1 0 2
1 3 3
1 2 1
10 9
0 1 2
1 1 2
0 2 2
1 1 1
2 2 1
0 2 0
1 0 1
1 2 2
2 2 2
2 1 1
10 2
0 1 0
0 0 2
1 2 2
0 0 1
0 0 0
1 0 0
0 1 1
2 0 1
2 1 2
2 2 2
10 7
0 2 0
1 0 1
1 1 0
2 0 1
0 1 1
1 2 0
1 0 2
2 0 0
1 2 2
1 1 1
10 9
2 1 1
1 0 1
1 2 0
0 1 1
0 2 0
2 1 2
0 0 0
0 1 0
2 2 0
1 1 0
10 4
3 1 1
2 1 0
3 1 3
1 0 0
3 2 3
2 1 2
0 2 2
0 1 1
0 3 0
3 0 2
10 4
0 2 1
2 0 0
3 1 0
2 2 3
2 0 1
0 0 2
0 0 1
0 3 3
2 2 2
2 1 0
10 6
2 2 3
0 2 0
2 3 0
0 0 1
3 1 0
2 1 1
0 0 0
1 3 2
3 3 2
1 1 3
10 8
3 3 3
2 2 2
3 3 2
2 1 3
0 1 1
0 0 3
3 0 0
2 2 0
0 2 1
1 3 0
10 6
1 0 2
2 0 2
2 1 0
2 0 1
2 2 2
1 1 1
2 1 1
1 0 0
0 2 0
0 1 2
10 8
3 3 2
2 2 0
2 0 3
0 2 3
2 1 0
0 3 0
2 3 2
1 3 1
2 3 1
3 2 2
10 3
3 0 1
0 3 1
3 3 3
3 0 2
3 3 0
2 2 2
2 2 1
2 0 1
0 0 3
3 2 1
10 8
2 3 3
0 1 3
1 1 0
1 0 3
3 1 1
0 0 2
3 0 1
0 2 2
0 0 1
1 3 3
10 7
2 2 0
2 2 2
1 1 0
0 2 0
1 0 2
0 0 2
1 2 2
0 1 0
1 0 0
0 1 2
10 3
2 1 1
0 0 3
2 2 1
1 1 2
2 0 0
1 0 0
1 2 0
0 0 2
0 2 3
0 1 0
10 7
2 0 2
1 0 1
2 2 1
0 0 2
0 0 0
1 1 0
1 1 1
0 0 1
0 1 1
2 1 2
10 2
1 2 1
1 1 0
0 0 2
2 0 2
2 2 0
1 2 0
2 2 2
0 1 1
2 0 1
2 1 2
10 5
1 2 0
0 1 0
0 1 2
2 2 1
3 1 2
0 0 2
0 1 3
3 3 0
0 3 3
1 3 2
10 6
0 1 2
2 0 2
0 0 0
1 1 2
0 0 1
1 2 1
0 2 2
0 1 1
0 1 0
2 2 2
10 6
1 3 3
3 1 2
3 0 1
3 0 3
3 1 3
2 0 0
1 2 3
3 1 1
0 1 3
0 1 1
10 7
1 1 0
2 2 2
1 2 1
1 1 2
0 2 0
2 0 2
1 1 1
1 0 2
0 0 0
2 1 0
10 3
2 2 3
0 3 2
0 3 3
2 0 0
1 0 0
0 1 3
0 1 1
1 2 0
1 1 3
2 1 1
10 7
2 0 1
1 2 0
1 2 2
2 1 2
2 0 2
0 1 1
1 0 1
0 0 2
0 0 0
0 1 2
10 6
0 1 1
2 0 0
1 1 0
0 0 1
2 0 1
1 1 2
1 2 1
0 0 2
0 2 0
0 2 2
10 2
2 0 0
1 1 3
1 3 1
3 3 3
3 2 1
1 3 0
0 2 0
0 3 0
0 2 3
0 3 3
10 8
1 0 1
2 0 0
0 1 1
0 2 2
3 3 2
1 0 0
1 0 2
3 1 1
1 1 3
2 2 0
10 9
1 2 1
1 2 0
1 2 2
2 0 1
1 1 1
0 0 2
0 2 2
2 1 0
2 0 0
1 1 0
10 7
1 3 2
1 3 1
0 0 2
0 2 1
1 2 1
2 0 2
0 2 3
0 1 1
1 0 2
3 3 0
10 6
1 2 0
0 0 1
0 2 2
0 1 2
1 0 0
2 1 1
2 2 2
1 2 2
0 1 1
2 0 2
10 7
1 1 2
2 1 1
2 2 2
1 2 1
2 1 2
1 2 2
0 0 0
2 1 0
0 1 0
1 2 0
10 7
3 1 0
3 0 1
2 2 3
1 0 3
1 1 1
1 0 2
0 3 3
2 1 1
0 0 3
1 0 0
10 5
2 1 1
2 1 2
2 2 0
1 1 2
0 2 2
2 0 1
2 1 0
1 2 1
1 0 1
2 0 0
10 6
2 1 2
1 2 1
0 1 0
1 0 0
0 1 2
1 1 1
2 1 0
1 2 2
0 2 2
2 2 1
10 2
0 1 0
1 1 1
0 0 1
2 2 1
1 0 1
1 1 2
2 0 0
0 0 0
1 2 1
2 1 0
10 7
1 1 0
0 2 0
2 2 2
2 0 0
2 0 1
2 2 1
1 0 2
0 0 0
2 0 2
1 1 1
10 3
2 3 3
0 2 2
0 1 1
2 0 1
3 1 0
1 1 1
2 0 3
1 0 3
3 0 3
2 3 2
10 6
3 0 3
1 0 1
3 1 3
0 3 1
1 2 2
0 1 0
1 3 0
0 2 0
1 1 1
2 2 3
10 8
2 1 2
0 0 2
2 1 1
1 1 0
1 2 2
2 0 1
1 1 1
2 0 0
2 2 2
1 0 1
10 8
0 2 1
2 1 1
1 2 0
1 2 2
1 0 0
1 1 2
0 2 2
2 0 2
0 1 2
2 0 1
10 7
1 0 1
0 3 2
0 3 3
3 2 0
0 2 0
2 3 0
1 1 3
1 2 3
2 0 3
1 1 0
10 4
2 1 1
2 2 2
2 3 0
1 3 0
2 2 3
1 2 2
0 0 0
3 1 2
0 3 1
0 1 1
10 4
0 2 1
2 1 1
1 1 2
1 2 2
1 0 0
1 2 1
0 0 2
0 1 1
0 0 0
1 2 0
10 2
1 1 1
1 0 2
1 0 1
0 0 2
1 2 1
0 1 2
2 0 2
2 0 1
1 2 0
0 1 0
10 5
0 0 0
2 0 0
1 2 1
0 1 2
1 0 0
0 1 0
2 2 1
0 2 1
0 2 2
1 2 0
10 8
2 0 1
0 1 0
1 1 2
2 1 2
1 2 1
1 1 0
2 0 2
0 0 2
0 0 1
1 2 0
10 2
2 1 1
3 0 1
0 3 2
0 0 2
0 3 3
1 2 2
1 3 1
1 0 3
1 0 2
2 1 0
10 9
0 0 0
2 0 0
1 1 2
2 1 1
1 1 0
1 0 1
0 0 2
0 2 2
1 2 2
0 0 1
10 5
0 2 1
2 2 1
2 1 1
2 2 0
0 1 2
2 0 1
2 2 2
1 0 0
2 0 0
1 0 1
10 2
1 3 3
1 2 2
1 1 2
3 0 0
0 0 0
0 0 3
3 1 3
2 2 1
3 2 2
1 3 1
10 5
2 0 0
0 0 0
0 0 1
1 0 2
1 0 0
1 1 0
1 2 0
2 2 2
0 2 0
2 2 0
10 3
0 2 2
1 1 0
0 0 2
0 2 0
0 1 2
1 0 1
2 2 0
0 0 0
2 1 0
1 2 1
10 7
1 3 3
3 3 1
0 0 2
1 1 3
3 1 1
1 0 3
3 3 2
1 1 0
3 1 3
2 0 2
10 3
2 0 0
3 1 0
3 3 3
3 1 1
2 1 0
1 1 3
2 2 2
1 0 0
3 2 2
0 2 1
10 4
2 0 2
2 0 1
1 2 0
0 0 2
0 2 1
0 1 0
1 1 2
2 1 0
2 0 0
1 2 2
10 6
2 3 1
3 0 1
1 0 1
0 1 1
3 1 1
2 2 1
2 2 0
2 2 3
3 2 0
0 2 0
10 9
2 0 1
2 1 2
2 2 1
0 2 1
1 0 2
2 2 0
0 0 1
0 0 0
1 2 2
0 1 2
10 5
3 2 0
3 2 1
1 2 2
3 2 2
3 3 0
2 3 0
0 0 3
1 1 1
3 0 3
3 0 2
10 5
1 0 0
2 1 1
2 2 3
3 0 1
0 1 2
3 3 2
2 3 1
1 3 2
2 0 1
3 3 3
10 9
0 2 0
1 2 0
1 3 0
2 1 3
2 0 3
0 3 1
0 3 2
2 3 2
3 0 1
1 1 0
10 6
1 3 3
0 2 0
1 1 1
3 3 1
2 3 3
2 3 2
2 3 0
0 1 3
3 1 1
1 2 0
10 8
0 0 1
0 2 0
3 0 3
3 3 0
1 0 0
3 3 1
2 0 1
1 3 3
0 3 1
3 1 0
10 2
2 0 2
1 2 1
2 0 0
1 1 2
1 2 2
0 1 0
0 2 1
2 1 0
2 2 1
2 0 1
10 2
0 1 0
1 1 2
0 1 2
0 0 0
2 2 2
2 0 2
1 1 0
2 1 0
2 2 0
0 1 1
10 3
1 1 2
1 1 0
2 0 1
2 0 2
1 1 1
0 1 0
1 0 0
0 2 2
0 1 1
1 0 1
10 2
2 0 1
1 1 0
1 0 2
0 2 2
1 1 2
2 1 2
2 1 1
0 1 1
2 0 0
0 1 2
10 5
2 2 1
1 1 1
1 1 0
0 1 2
2 0 2
0 0 0
1 2 1
1 0 1
2 1 0
0 0 1
10 8
2 1 3
2 2 1
1 1 1
0 3 3
1 1 0
2 0 1
3 3 2
3 1 1
0 2 0
2 1 0
10 8
1 0 0
0 2 1
0 1 0
1 0 1
2 1 2
0 2 0
1 0 2
1 1 1
2 2 2
2 0 0
10 8
0 2 2
0 0 2
1 2 2
0 2 0
2 1 0
1 2 0
1 1 2
2 0 0
0 2 1
0 1 1
10 5
1 0 2
2 1 2
0 1 0
3 2 2
3 1 1
1 2 2
0 0 1
1 1 2
0 2 0
1 3 2
10 6
2 1 1
2 0 0
0 0 0
1 2 1
0 2 1
0 2 2
2 1 0
2 2 0
0 1 2
2 2 2
10 9
1 1 0
0 0 1
1 1 2
0 0 0
1 1 1
0 2 1
2 1 2
0 1 1
0 2 0
2 1 0
10 4
1 2 0
0 2 1
1 1 1
1 0 1
2 0 2
0 2 0
0 1 0
0 1 2
2 1 0
0 0 1
10 2
1 1 2
0 1 2
0 3 3
0 1 3
3 0 1
3 2 3
1 3 2
3 3 3
2 0 1
0 3 0
10 3
1 0 0
1 1 0
0 0 0
2 0 2
1 2 2
2 2 0
0 2 2
0 1 1
2 1 0
2 2 2
10 2
1 2 1
1 1 1
2 0 2
2 1 1
0 1 2
1 0 0
1 1 0
0 1 1
1 2 2
2 2 0
10 8
2 1 0
0 1 1
3 2 0
3 0 0
2 0 1
2 3 0
2 1 3
3 3 2
0 2 3
1 2 3
10 4
2 3 2
0 1 3
0 0 1
1 2 2
3 2 1
3 3 0
2 0 2
1 3 0
2 0 0
2 3 3
10 6
1 2 1
1 1 1
1 2 2
2 1 2
2 2 2
2 1 0
0 1 0
2 2 1
1 2 0
0 0 1
10 5
2 1 0
1 1 0
2 3 1
0 3 1
2 2 0
2 0 1
2 1 1
3 3 0
2 2 1
2 0 2
10 5
2 2 3
1 2 3
2 3 1
2 3 3
1 0 2
1 2 0
0 0 3
3 0 1
1 3 3
0 2 3
10 5
2 1 1
0 0 3
0 3 1
2 2 1
2 0 1
0 3 3
0 1 1
1 0 0
2 3 2
2 3 1
10 5
3 2 1
1 3 2
3 2 3
1 1 2
1 1 3
1 2 3
2 1 0
2 1 2
2 0 0
2 2 3
10 7
2 2 2
2 2 1
2 0 0
0 0 3
3 0 0
3 1 0
2 1 3
3 1 3
3 3 3
2 2 0
10 2
0 0 2
0 2 2
0 3 0
2 2 2
2 2 0
2 2 1
3 2 2
2 2 3
1 2 2
0 2 3
10 4
3 3 3
1 2 3
3 0 0
2 0 3
2 0 1
0 2 1
2 1 3
1 1 0
0 1 3
1 2 1
10 7
2 0 1
0 2 2
1 2 2
2 0 2
0 0 1
0 0 2
1 1 1
0 1 1
1 2 1
0 1 0
10 4
2 0 1
1 1 1
2 2 2
1 2 0
2 1 1
0 0 1
1 1 0
2 2 1
0 1 2
0 0 0
10 2
1 0 1
1 2 1
0 1 0
1 0 0
2 0 1
2 1 1
2 2 0
2 0 0
1 1 1
1 0 2
10 3
3 2 3
2 2 1
2 3 2
0 2 2
2 2 0
2 0 0
1 0 2
0 2 3
3 0 3
0 3 0
10 7
3 0 0
2 3 1
0 3 0
3 1 0
1 1 1
3 3 3
3 0 1
0 3 1
1 2 1
3 3 2
10 9
2 0 0
0 0 0
2 1 2
2 1 1
2 0 2
2 2 2
0 0 2
0 1 1
0 2 1
1 1 1
10 2
3 0 0
3 1 2
0 2 2
2 3 1
2 1 1
1 2 3
0 2 3
3 1 1
1 2 2
1 3 2
10 4
2 0 1
1 0 0
0 1 2
1 1 1
1 0 1
0 1 0
0 2 2
2 1 0
1 2 1
0 2 0
10 4
2 1 2
0 2 2
2 2 1
1 1 2
2 2 0
0 1 0
2 2 2
0 2 0
0 0 0
0 0 2
10 4
1 0 0
0 1 1
1 0 1
0 0 0
1 0 2
2 2 2
1 1 2
2 0 1
0 2 0
2 0 0
10 5
2 1 0
2 2 0
1 1 1
2 2 2
1 0 1
2 0 0
2 0 1
1 1 0
1 0 0
2 2 1
10 9
3 0 1
2 1 0
0 1 1
2 3 0
2 3 2
1 3 3
0 2 1
1 3 1
3 0 3
1 2 2
10 2
1 1 1
0 2 1
0 0 3
1 2 2
2 2 3
2 0 3
2 1 3
0 1 1
1 3 2
3 0 1
10 7
1 0 3
1 3 2
2 1 1
0 2 3
0 3 2
3 3 2
1 3 1
3 3 3
0 0 2
3 2 2
10 4
0 3 2
1 1 2
3 0 3
3 1 3
1 1 1
0 0 3
0 0 2
1 3 0
3 2 1
1 3 3
10 2
2 3 1
0 2 3
3 2 3
3 2 0
2 3 2
0 2 2
0 0 3
3 3 1
0 0 2
0 1 1
10 4
2 1 0
1 1 2
1 1 0
1 2 0
2 1 2
0 2 1
2 1 1
2 2 1
2 2 0
2 0 2
10 6
0 1 1
2 1 2
1 0 0
0 2 1
2 2 0
1 1 2
1 2 1
1 0 2
0 1 0
0 2 2
10 4
1 2 0
3 3 2
3 1 3
2 1 3
0 0 2
1 3 1
2 2 1
3 0 1
1 1 0
2 2 2
10 8
1 1 1
0 3 1
1 2 2
0 0 2
1 3 1
1 0 2
1 0 3
3 1 3
0 2 0
1 3 3
10 2
2 1 1
0 1 0
1 1 1
2 0 2
2 2 2
2 0 1
2 2 1
2 1 0
1 2 0
0 0 0
10 3
1 1 2
2 0 2
2 0 0
0 0 2
0 1 1
1 0 2
2 1 0
0 2 0
0 0 0
2 0 1
10 3
2 1 0
2 1 1
0 0 0
2 2 1
1 2 0
0 2 2
2 0 2
2 2 0
1 2 1
1 1 0
10 8
2 0 2
2 0 1
1 0 0
2 1 1
0 0 2
1 2 0
2 2 1
0 1 0
2 2 0
1 1 1
10 4
1 0 1
2 0 0
2 2 2
0 1 0
1 1 1
2 2 1
1 0 2
2 0 2
0 1 1
0 2 2
10 5
3 3 2
2 0 0
1 2 1
3 1 0
1 1 2
0 1 0
2 2 0
0 0 1
3 2 2
3 0 3
10 5
2 0 0
3 3 2
3 1 3
1 1 1
1 1 2
1 0 0
1 2 3
1 2 0
0 0 3
1 2 1
10 8
2 0 1
2 1 1
0 0 2
2 0 0
2 2 1
1 2 0
1 0 1
0 2 0
2 0 2
2 2 2
10 9
2 0 2
2 1 0
1 0 0
2 1 2
2 1 1
0 2 2
1 2 0
0 2 1
0 1 1
2 0 0
10 6
1 2 1
1 0 0
2 0 2
0 3 3
2 2 3
3 3 0
2 3 3
1 0 2
2 0 1
1 3 0
10 2
0 0 0
1 1 2
0 1 2
1 2 0
1 0 1
2 1 0
2 0 2
2 0 1
0 0 2
0 1 1
10 4
1 1 2
2 2 2
2 0 2
0 2 0
1 1 0
1 2 0
1 0 1
0 2 1
0 1 2
2 0 0
10 3
1 3 1
3 3 1
1 1 3
3 0 3
2 0 1
3 1 1
3 3 0
3 0 0
1 0 3
0 1 3
10 9
3 2 2
0 3 2
2 1 3
3 2 3
1 1 0
1 0 3
2 0 3
1 2 2
3 1 2
3 2 0
10 4
0 1 1
1 2 0
0 0 2
1 1 1
1 0 2
2 2 2
1 1 2
1 0 0
1 2 1
0 1 2
10 6
1 0 0
3 2 0
0 1 1
0 0 0
1 0 1
2 0 1
0 0 3
2 3 2
2 3 3
3 3 0
10 9
2 2 0
0 1 2
0 1 1
0 2 1
0 1 0
1 2 2
0 0 2
2 2 1
0 0 1
0 0 0
10 4
0 1 3
3 1 1
2 3 0
3 3 3
0 2 3
2 0 1
0 1 0
0 3 3
1 0 2
0 3 2
10 3
2 0 1
1 1 2
1 1 1
1 0 1
0 0 0
2 2 0
1 2 1
2 0 0
1 0 2
2 2 2
10 3
0 0 2
0 1 2
1 2 1
2 1 1
0 2 0
2 2 0
0 2 1
0 1 1
1 0 0
1 0 1
10 3
0 3 3
0 1 2
3 0 0
1 2 1
0 2 0
3 2 0
1 0 3
3 3 0
0 0 3
3 2 3
10 5
3 3 1
3 1 0
3 1 2
1 3 0
0 0 2
1 2 3
0 0 0
2 0 3
0 3 3
1 3 1
10 6
2 2 1
2 0 1
0 2 1
0 3 0
0 2 3
0 2 2
2 0 0
0 1 0
3 3 2
3 2 1
10 7
0 1 2
1 0 1
1 0 0
2 0 0
0 2 1
1 1 1
2 1 1
2 2 2
0 2 2
0 1 0
10 2
1 0 2
0 1 1
2 1 2
1 0 0
1 0 1
0 2 2
2 1 0
2 0 0
1 1 0
2 2 1
10 9
0 3 3
0 1 0
0 1 3
1 3 1
1 0 3
1 1 0
0 3 1
2 1 0
1 2 3
3 3 2
10 8
1 1 2
1 3 2
1 0 3
2 0 1
0 0 2
3 0 0
0 1 0
0 2 3
3 0 3
1 3 1
10 2
3 0 1
1 3 0
1 0 3
3 2 1
2 3 0
0 2 2
1 2 1
3 3 3
0 0 2
1 1 1
10 7
2 1 3
1 3 0
0 1 0
1 0 2
0 3 3
0 2 3
2 2 3
2 0 1
2 3 3
3 1 1
10 8
1 2 1
0 2 3
3 0 3
0 1 3
0 3 0
1 1 0
0 3 1
2 3 3
3 3 2
1 2 2
10 9
2 2 2
2 1 1
0 0 1
1 2 0
0 1 0
0 2 2
0 1 2
1 2 2
1 1 1
1 1 0
10 5
0 3 1
1 2 3
0 0 1
1 1 2
3 2 1
1 3 1
3 0 0
2 0 3
3 3 1
3 3 3
10 5
1 2 3
3 0 1
1 0 1
2 0 3
2 1 3
0 3 2
3 2 0
2 2 0
1 3 1
2 0 1
10 7
2 0 0
2 2 1
2 1 1
2 1 0
2 0 1
1 1 2
0 2 1
1 2 0
1 0 0
0 2 0
10 6
2 0 2
3 0 2
0 2 3
3 3 1
2 1 2
0 3 3
0 0 3
0 3 2
3 2 0
1 1 0
10 4
2 0 0
0 2 2
0 1 2
1 0 0
1 0 2
2 1 1
0 2 0
0 0 1
1 2 0
1 1 2
10 8
3 2 1
2 2 1
1 2 2
3 2 3
1 1 3
3 3 0
0 0 1
3 0 2
3 0 0
1 1 2
10 9
2 2 0
1 1 0
0 2 2
0 2 1
0 1 0
1 1 2
1 2 0
0 1 1
2 0 1
2 1 1
10 9
1 0 2
2 3 3
0 0 2
2 3 1
1 0 3
2 2 2
3 1 0
2 0 1
0 2 0
3 2 2
10 6
2 0 0
1 3 0
3 1 3
3 0 0
0 0 1
0 0 0
2 1 0
2 3 3
0 3 1
0 3 2
10 4
0 0 1
1 0 1
2 2 1
1 1 1
0 2 0
1 0 2
2 0 0
1 2 0
0 1 1
0 1 0
10 3
2 1 1
1 0 0
1 1 0
3 3 2
0 1 1
1 3 2
1 0 3
0 1 3
2 3 3
1 2 3
10 9
0 2 0
1 2 1
2 1 1
1 0 2
0 2 1
0 1 1
0 0 1
1 0 1
1 1 2
2 0 2
10 9
0 1 1
1 3 1
3 3 3
1 1 2
0 0 2
1 1 1
3 0 0
1 2 0
0 3 0
2 1 0
10 4
0 1 0
1 2 0
1 1 0
2 0 2
2 1 0
0 0 0
0 0 1
0 2 1
2 0 0
0 0 2
10 4
2 3 0
1 3 3
1 1 0
1 0 1
1 2 3
0 0 1
2 1 2
1 0 0
3 3 2
1 2 2
10 6
1 1 0
0 0 1
2 0 0
1 0 1
2 2 2
1 2 1
0 0 2
1 2 2
0 1 2
1 2 0
10 4
0 2 1
1 0 3
0 3 1
0 1 3
1 3 0
1 1 2
0 1 0
1 2 2
0 2 2
1 3 2
10 2
0 0 1
1 2 2
1 1 2
1 0 0
0 1 1
2 0 0
2 2 1
0 1 0
1 0 2
2 1 0
10 2
2 0 1
3 2 2
0 3 3
2 0 0
1 2 3
3 0 1
0 3 2
0 3 1
2 0 2
2 1 2
10 8
2 1 2
2 2 2
1 0 1
2 0 1
1 1 0
1 2 0
0 1 1
0 0 0
2 1 0
1 0 0
10 8
0 2 1
2 1 1
1 2 0
1 2 1
2 0 1
2 1 0
2 1 2
0 1 1
2 0 2
2 2 0
10 5
0 0 1
2 0 2
1 2 1
2 2 2
1 1 0
1 2 2
2 1 1
2 1 2
0 0 0
1 1 2
10 2
2 1 0
0 1 3
2 2 0
0 1 1
1 3 2
3 1 1
1 1 3
0 2 3
1 1 0
1 0 3
10 9
3 2 2
2 1 3
1 3 1
2 2 3
2 1 2
1 3 2
3 1 1
1 2 2
0 2 0
0 1 2
10 6
3 2 2
2 3 1
2 3 3
1 3 0
1 1 0
3 0 0
2 0 3
1 3 2
1 0 0
3 1 2
10 2
1 0 1
2 2 0
2 2 1
2 0 2
1 2 2
0 2 0
2 2 2
1 1 2
2 1 2
0 0 1
10 7
1 0 2
0 2 1
2 2 0
0 0 0
1 1 0
2 1 2
0 2 0
2 1 1
1 1 2
0 1 2
10 9
0 3 3
1 3 3
1 0 0
3 3 3
3 2 3
0 2 0
1 3 0
0 2 1
3 2 1
3 0 0
10 5
0 3 3
1 0 3
1 2 0
2 0 2
1 0 0
3 1 0
0 3 0
0 1 3
3 0 0
1 2 1
10 2
2 0 0
1 3 0
3 2 1
0 0 2
3 0 0
1 0 1
3 0 3
0 2 1
3 1 1
1 1 2
10 5
1 0 1
2 0 2
2 2 1
1 2 0
0 2 1
1 1 1
0 2 2
1 1 0
1 2 2
0 1 2
10 7
1 2 2
0 1 1
0 0 0
0 0 2
0 2 2
0 1 0
0 2 0
2 0 1
1 0 1
2 2 2
10 3
0 0 2
3 3 2
2 1 0
1 2 2
0 3 0
2 2 1
3 0 0
2 1 1
1 1 2
1 1 3
10 4
0 1 0
1 1 1
0 0 1
1 2 0
2 1 1
2 2 0
0 0 0
2 1 2
0 2 0
2 0 2
10 6
2 2 0
2 0 2
3 0 3
0 1 3
3 2 3
3 0 2
1 3 2
2 1 0
2 2 2
3 3 3
10 3
3 3 3
2 3 1
3 1 2
1 3 3
0 1 0
1 1 1
1 2 1
0 0 0
2 0 0
0 3 2
10 8
1 0 0
0 0 0
1 1 0
0 2 0
0 1 2
2 0 2
1 0 1
1 2 2
2 1 2
2 0 1
10 2
2 0 0
2 2 2
1 1 1
1 0 0
2 1 0
2 2 0
2 0 1
0 0 2
0 0 1
1 2 1
10 2
1 0 1
1 2 1
1 2 0
0 2 0
0 1 2
2 1 0
2 0 2
2 2 0
1 0 0
0 1 1
10 7
1 0 1
3 3 2
3 2 0
1 3 1
0 3 3
0 3 1
3 3 0
0 1 0
1 1 1
3 1 2
10 5
2 3 1
0 1 2
2 0 2
3 1 1
3 1 3
1 3 2
0 0 2
2 2 3
0 1 3
0 0 3
10 8
1 3 0
2 2 0
2 1 2
0 2 1
2 0 3
2 1 0
0 1 0
3 3 0
1 1 3
0 2 3
10 8
1 2 1
1 0 0
0 2 2
0 1 2
0 0 0
2 2 2
2 2 0
1 2 2
2 2 1
2 1 2
10 2
2 2 0
0 1 1
1 0 0
1 0 1
0 0 1
0 2 1
0 0 0
2 0 0
2 2 2
0 1 0
10 8
2 2 1
1 3 3
1 0 1
3 1 0
0 2 1
0 0 0
3 2 1
1 3 0
3 2 2
2 0 0
10 5
2 1 2
3 0 3
0 1 0
0 3 0
0 0 2
2 2 0
1 3 2
3 0 2
2 3 3
3 1 3
10 6
2 2 1
0 1 2
0 0 2
2 3 1
0 1 3
2 1 2
2 0 2
2 3 2
3 2 0
1 3 1
10 3
2 2 1
1 0 0
0 2 1
0 1 2
1 1 2
1 2 2
2 2 0
0 2 2
1 2 0
2 1 1
10 6
0 1 0
1 0 0
2 0 0
1 1 2
0 0 2
2 1 2
0 2 0
0 2 2
1 2 0
0 0 1
10 3
2 1 1
2 1 0
1 2 2
0 0 0
1 1 2
2 2 1
0 2 0
1 2 1
1 1 1
2 2 0
10 4
2 3 0
0 2 3
3 1 0
1 0 3
0 0 1
0 2 1
3 1 1
0 3 0
2 0 3
0 0 0
10 8
0 2 0
3 2 2
2 2 1
1 0 3
3 1 0
1 0 0
2 0 1
0 3 3
2 2 2
2 3 0
10 4
1 1 1
2 1 2
2 2 0
2 2 1
0 2 0
1 2 1
0 1 1
0 2 1
1 1 2
2 1 0
10 7
1 0 0
0 0 0
3 2 1
2 3 3
2 1 1
1 2 0
2 3 0
3 0 3
2 0 1
1 1 3
10 4
1 0 2
2 2 1
2 2 2
0 2 0
1 0 0
0 0 0
2 2 0
2 1 1
0 0 2
1 1 0
10 4
3 0 1
0 0 2
2 2 1
2 2 0
3 1 0
0 2 3
0 0 0
3 3 3
0 1 0
0 0 1
10 7
1 0 1
0 2 1
1 0 0
0 0 1
1 1 1
0 1 0
2 1 1
1 2 2
1 0 2
0 0 2
10 5
2 2 1
1 1 0
2 1 0
1 0 1
1 2 0
1 1 1
2 1 1
1 1 2
0 0 1
0 0 2
10 3
0 2 0
1 1 1
2 2 0
3 3 3
2 0 3
0 2 2
3 2 3
3 3 1
3 2 1
0 3 3
10 7
0 1 2
2 0 2
1 2 1
1 2 0
2 1 2
2 2 0
2 0 0
0 1 0
2 1 1
1 0 2
10 4
0 2 2
0 0 2
1 2 1
2 2 0
3 3 2
0 0 3
3 0 3
2 2 1
2 3 1
2 0 0
10 3
2 1 1
0 3 2
3 2 2
3 1 1
0 2 1
3 3 1
0 0 3
2 0 2
0 3 0
3 0 1
10 7
1 0 1
0 1 0
1 0 0
1 0 2
0 2 2
2 0 1
0 2 1
1 2 2
1 1 2
2 2 1
10 2
2 1 0
0 1 2
2 2 1
1 0 1
0 1 1
1 1 0
2 1 1
2 2 0
0 1 0
2 2 2
10 4
3 3 2
1 2 1
3 0 1
2 1 2
3 3 0
3 0 2
2 2 1
3 3 3
1 1 1
1 2 3
10 5
1 1 1
0 1 2
1 2 2
0 2 1
2 1 0
1 2 1
1 1 0
2 0 1
0 0 0
0 1 0
10 4
0 1 1
0 1 0
1 1 1
0 0 0
2 0 0
2 1 1
1 0 2
2 2 0
1 2 0
0 2 1
10 2
2 2 0
0 1 0
2 2 2
1 1 0
1 0 0
2 1 2
2 0 0
1 1 1
1 0 1
2 0 2
10 7
2 0 0
0 0 1
2 1 1
1 0 2
2 2 1
0 2 0
0 1 1
2 0 2
1 2 0
0 2 2
10 5
1 0 1
0 2 0
2 0 1
0 1 1
0 0 0
2 0 0
1 2 2
0 1 0
2 1 0
0 2 1
10 4
0 0 0
0 1 2
2 0 0
2 0 1
2 1 0
2 2 0
1 1 1
0 2 1
1 0 0
0 1 0
10 2
1 1 1
2 0 2
1 0 0
1 1 0
2 2 1
2 0 0
0 2 1
2 0 1
0 2 2
2 2 0
10 2
0 2 3
2 1 3
1 2 3
3 1 1
3 2 3
3 3 1
0 3 3
0 2 0
1 2 2
2 2 0
10 8
1 2 0
3 0 3
2 0 3
0 2 1
2 3 1
3 3 2
2 3 3
1 2 2
2 1 3
2 3 0
10 7
1 3 0
1 1 1
1 2 1
0 2 2
0 3 1
3 1 1
1 3 3
0 2 1
2 2 2
1 0 1
10 7
1 3 3
1 2 1
1 0 2
1 1 2
0 0 0
3 1 1
3 3 1
3 0 3
1 3 0
2 1 1
10 3
0 0 1
1 1 2
2 2 1
1 0 0
0 2 1
0 0 0
1 2 2
2 2 0
0 1 2
2 0 2
10 7
2 0 1
0 1 1
3 2 3
2 0 0
3 3 0
0 0 1
2 3 3
0 3 1
3 1 3
0 2 0
10 8
2 2 0
0 2 0
1 1 2
0 1 0
1 0 2
2 1 2
1 1 0
2 2 2
1 0 0
2 0 1
10 2
2 2 1
1 2 0
0 2 2
2 1 1
2 0 0
0 3 1
2 3 1
0 3 2
0 0 2
3 2 2
10 9
2 3 0
2 2 1
1 2 1
2 1 0
1 3 3
1 0 1
1 0 0
1 0 3
0 3 0
0 1 1
10 7
0 2 0
2 3 3
3 1 3
2 1 1
2 2 0
3 3 2
2 3 2
1 0 1
0 1 1
1 1 2
10 3
3 2 0
2 2 2
1 1 2
2 2 0
0 0 2
3 3 3
0 2 1
3 2 1
3 3 0
1 2 2
10 2
1 3 0
2 3 3
3 2 1
1 2 3
2 0 0
0 3 0
1 0 3
2 1 1
2 0 1
3 3 1
10 2
1 2 0
1 0 1
2 1 1
2 2 0
1 0 0
0 0 1
0 0 2
1 1 1
0 1 0
2 1 0
10 4
3 2 3
0 2 1
0 2 3
1 0 2
0 0 3
2 2 0
0 3 1
2 3 1
2 0 3
1 1 3
10 8
2 0 1
0 1 0
2 1 1
1 0 0
1 2 1
1 1 2
1 0 1
1 1 1
2 1 0
1 2 0
10 9
0 0 1
0 2 1
0 0 2
2 2 1
0 1 1
2 2 0
2 2 2
1 1 2
1 1 1
0 0 0
10 8
2 0 1
1 2 2
1 1 0
1 1 1
1 0 1
0 2 0
2 1 0
0 1 0
1 1 2
2 2 2
10 9
0 2 1
2 1 0
0 2 2
0 0 0
2 0 2
0 1 0
2 2 1
1 2 2
1 2 1
2 1 1
10 9
1 1 0
2 2 0
2 2 2
2 3 3
3 2 0
3 2 3
1 2 0
0 3 3
1 1 3
3 3 1
10 4
2 1 0
2 1 2
0 1 1
0 0 0
2 2 2
2 0 0
2 0 2
1 0 0
1 1 1
1 1 2
10 3
2 1 2
1 2 2
1 2 0
2 0 2
0 1 1
1 1 2
0 1 0
2 1 1
0 1 2
0 0 2
10 3
2 0 2
2 1 1
2 2 1
1 2 1
1 1 0
2 1 2
1 0 2
2 0 1
2 1 0
0 1 1
10 8
0 2 0
0 2 2
0 1 2
2 2 2
1 1 0
2 0 1
2 1 2
0 2 1
1 0 2
1 1 1
10 2
1 1 0
1 3 1
2 0 3
2 2 0
2 1 2
3 2 2
0 1 3
1 0 2
2 3 2
2 3 3
10 3
1 0 0
2 2 2
2 1 2
2 1 1
0 0 2
0 0 0
0 0 1
0 2 2
1 0 2
0 2 0
10 6
2 2 3
0 3 1
1 3 2
3 0 0
3 1 3
1 0 0
2 0 2
0 2 2
2 3 1
2 1 1
10 5
2 2 1
0 0 2
0 2 1
1 2 1
0 0 0
1 1 0
1 0 0
0 2 2
0 2 0
1 2 0
10 8
0 1 1
2 0 1
2 2 1
1 0 1
2 0 0
1 2 0
0 2 1
0 1 2
2 1 0
2 0 2
10 6
1 1 1
2 1 2
1 1 2
1 2 2
1 0 1
0 0 0
2 2 0
2 2 2
2 2 1
2 0 1
10 4
2 2 1
1 1 2
2 2 0
1 0 1
0 0 1
2 1 2
0 0 2
1 0 2
1 2 1
1 1 0
10 7
2 2 1
0 2 1
2 0 0
2 2 0
1 0 2
2 2 2
1 0 0
2 0 1
0 0 0
1 2 0
10 6
3 0 2
1 1 0
1 0 2
0 2 1
1 0 3
0 0 1
3 2 3
3 1 3
0 2 0
2 2 1
10 2
1 1 2
2 3 1
2 0 3
2 1 1
0 0 3
1 3 2
3 3 1
0 2 0
0 3 2
3 3 2
10 2
0 2 2
3 1 2
1 0 3
2 2 0
2 2 1
2 3 1
2 3 2
1 1 1
3 3 1
0 2 0
10 6
0 2 0
3 2 0
1 0 1
1 2 3
1 0 2
3 1 3
3 1 0
3 3 0
3 2 1
2 2 3
10 3
0 2 2
0 1 2
2 0 2
1 1 1
2 2 2
1 0 2
1 1 0
0 0 0
2 1 2
1 1 2
10 8
3 1 2
0 2 0
3 0 3
0 1 1
0 3 3
2 1 0
2 2 1
0 1 0
3 3 0
1 2 0
10 2
0 2 1
2 3 1
3 0 0
0 2 3
1 3 1
3 0 2
2 1 2
1 0 3
2 0 0
1 1 0
10 4
1 0 2
1 2 2
0 2 2
2 1 0
1 0 0
2 2 0
0 1 2
2 2 2
0 2 1
2 2 1
10 5
1 3 3
2 2 2
3 0 0
0 0 0
2 1 0
1 2 3
1 2 0
2 2 1
0 2 0
3 0 1
10 8
2 1 1
1 0 0
1 1 2
0 2 1
2 0 1
2 0 2
0 2 0
1 2 1
0 1 2
0 0 1
10 7
1 2 1
3 3 2
1 3 2
1 1 0
2 2 3
3 0 1
1 1 2
2 2 2
2 3 2
2 1 1
10 8
0 1 0
0 0 3
2 0 2
1 0 2
3 2 2
0 0 1
1 0 1
0 3 0
3 1 1
0 2 2
10 6
0 0 1
1 3 3
2 1 0
1 3 2
3 2 0
2 2 1
0 3 0
3 1 3
2 3 2
1 2 1
10 4
2 0 3
3 1 2
1 3 3
3 3 1
2 3 0
3 2 1
2 1 0
3 0 3
2 1 2
2 2 2
10 9
3 2 1
0 3 1
2 3 0
2 0 0
2 0 2
1 3 2
3 1 2
0 2 0
2 0 1
1 1 1
10 3
0 2 2
0 2 0
0 0 1
3 2 3
0 3 0
2 0 0
0 0 3
3 3 0
0 3 1
0 1 0
10 2
2 1 1
1 3 3
2 3 2
1 1 0
1 0 3
2 2 1
3 1 2
2 1 3
3 3 0
0 2 1
10 5
2 2 0
1 0 3
1 3 2
1 3 3
0 2 0
2 1 0
1 2 1
3 0 0
3 2 1
3 0 3
10 7
0 1 2
0 0 2
0 2 0
2 2 2
2 1 2
0 2 2
1 1 2
2 1 1
1 0 0
1 0 1
10 4
1 1 2
1 2 1
1 2 0
0 0 0
0 0 2
1 0 1
0 1 1
1 0 0
2 2 2
1 2 2
10 4
0 0 1
0 1 0
2 1 2
0 2 1
1 1 2
2 0 2
1 0 0
2 0 1
2 0 0
1 1 0
10 8
0 0 1
2 1 1
2 0 2
2 0 0
1 2 1
2 2 0
0 2 1
0 2 2
2 0 1
0 2 0
10 4
0 3 3
1 2 2
2 2 2
0 1 1
0 2 2
2 1 0
1 3 2
2 0 0
0 3 2
0 0 1
10 9
3 0 1
2 1 2
2 2 2
2 0 3
3 1 1
2 1 0
2 2 0
0 3 1
2 0 2
1 0 3
10 2
0 0 2
0 0 0
1 1 0
2 0 2
1 2 2
0 2 0
2 1 2
2 0 1
1 1 2
1 0 1
10 2
1 1 2
2 0 1
0 2 0
1 2 0
1 1 0
2 1 1
0 3 0
2 0 0
3 1 0
2 3 3
10 2
2 2 2
0 1 0
0 2 0
0 1 2
1 1 2
2 1 0
1 0 2
2 2 0
2 0 1
0 0 1
10 6
1 0 2
0 2 0
2 1 0
1 1 1
0 0 0
1 2 0
0 0 2
2 2 1
2 2 2
2 0 0
10 7
0 1 0
1 1 2
1 1 1
2 0 1
2 2 0
2 2 1
2 1 0
1 2 2
2 0 2
1 0 0
10 4
3 3 0
3 1 3
2 2 3
3 3 2
0 3 2
0 1 2
2 1 1
1 0 2
3 1 1
2 0 2
10 4
2 1 1
1 2 2
0 2 2
2 2 1
1 1 2
0 0 1
2 1 2
1 0 2
2 1 0
0 1 1
10 4
2 0 1
0 2 2
2 1 1
2 2 2
0 1 2
1 1 2
0 0 1
2 2 1
1 2 0
0 1 0
10 6
0 2 0
1 1 0
2 2 2
0 1 0
0 2 1
1 2 2
1 1 1
1 0 1
0 0 0
1 0 0
10 2
0 1 2
0 1 0
0 0 1
2 1 0
1 1 1
1 0 0
2 2 1
2 1 1
0 0 2
2 0 0
10 9
2 1 0
1 1 2
0 1 0
1 1 1
0 0 2
1 1 0
0 1 2
0 1 1
2 0 0
1 2 1
10 9
3 0 0
3 1 0
1 0 3
1 0 0
1 2 2
0 3 0
1 0 2
3 3 2
2 2 0
2 3 1
10 8
1 1 2
2 2 1
2 2 2
2 2 0
1 0 2
0 0 0
2 0 0
0 2 0
2 1 0
2 1 2
10 5
1 2 2
2 0 0
2 1 2
0 1 2
1 0 2
0 1 1
1 0 0
1 2 0
2 1 0
1 1 1
10 9
0 2 3
2 3 3
2 2 0
3 0 1
0 1 0
3 1 1
1 0 3
1 3 1
3 3 1
0 3 1
10 6
2 2 2
0 0 0
1 1 2
2 0 1
1 0 1
0 1 1
2 2 0
2 1 1
2 1 2
0 2 1
10 7
2 0 0
2 2 2
1 0 2
2 2 1
1 2 0
0 2 2
0 0 1
1 0 1
1 1 0
0 1 2
10 2
2 1 3
1 2 2
0 0 3
1 3 2
0 3 3
2 3 3
3 1 1
0 2 2
2 1 0
3 0 0
10 3
0 1 3
3 3 1
1 3 2
1 1 2
0 2 2
1 2 2
0 2 3
2 1 1
1 1 1
2 3 2
10 9
0 2 0
1 2 0
2 1 1
1 0 0
2 0 1
0 1 1
0 2 2
0 0 1
2 2 0
0 0 0
10 8
1 1 1
2 3 2
2 1 2
2 2 2
1 3 1
3 1 2
1 1 0
2 1 1
1 2 3
0 2 3
10 5
2 2 2
2 1 1
0 2 1
1 1 2
0 2 2
0 1 1
2 0 2
1 1 0
1 2 0
2 1 2
10 6
3 0 3
3 1 3
1 3 1
0 2 3
3 3 1
2 1 3
3 3 2
1 0 0
0 0 2
3 0 1
10 3
3 3 2
3 2 2
0 2 0
1 2 3
3 0 0
3 1 0
1 0 1
2 2 2
3 0 3
3 0 2
10 7
0 0 0
2 3 2
0 1 1
0 1 0
3 2 1
1 2 1
0 3 1
3 1 1
2 1 2
1 3 2
10 7
3 0 3
2 0 0
0 2 0
3 1 3
3 3 1
0 1 2
0 0 0
1 2 3
1 1 2
0 3 3
10 9
3 1 2
0 0 0
3 2 1
1 0 2
0 3 2
2 3 1
0 0 2
2 1 2
1 2 0
3 0 1
10 8
2 1 1
1 2 1
0 1 2
2 1 2
1 2 2
0 2 2
2 2 2
0 1 1
1 1 1
1 2 0
10 4
1 1 0
1 0 0
1 2 1
2 1 1
1 2 2
0 1 1
2 1 0
0 0 0
2 0 1
0 2 2
10 3
2 3 2
3 2 3
1 3 2
1 0 1
0 2 3
2 0 3
0 2 0
3 3 0
1 0 2
3 3 2
10 3
3 1 1
1 0 3
2 0 2
0 0 1
0 1 2
2 1 0
0 0 0
2 1 3
1 0 1
2 1 1
10 3
0 1 1
1 2 1
2 1 1
2 0 1
1 2 2
2 2 2
1 2 0
2 1 0
0 1 0
0 2 0
10 6
0 3 2
2 0 2
1 1 1
2 3 2
2 0 1
0 1 1
3 1 1
3 0 2
2 2 1
2 2 3
10 3
0 0 2
0 2 2
2 1 0
0 1 2
1 1 1
0 2 1
1 0 2
0 0 0
1 1 0
1 2 0
10 5
2 3 1
1 1 2
2 3 2
2 1 3
0 1 2
1 2 2
1 2 1
3 2 0
3 1 3
1 0 0
10 6
1 2 0
2 2 0
0 2 2
2 2 2
2 0 1
2 0 2
1 1 1
0 0 1
0 0 0
1 0 1
10 7
2 2 2
0 0 2
0 0 1
1 2 2
1 2 1
1 1 2
2 2 0
0 1 1
0 1 0
0 2 0
10 3
2 2 3
3 3 1
0 3 0
0 3 2
2 3 3
1 2 1
0 2 3
1 3 2
0 1 2
3 2 0
10 8
0 2 2
1 0 0
2 1 2
0 2 1
2 2 1
1 0 2
0 1 0
2 1 1
0 0 1
0 1 1
10 6
2 0 3
0 2 3
0 1 1
2 2 2
3 0 2
0 1 3
3 3 3
3 3 2
0 0 3
3 2 1
10 4
2 2 0
0 2 1
1 1 0
2 1 2
1 0 0
2 1 0
1 2 0
1 0 2
1 1 1
0 0 1
10 3
0 2 1
0 2 2
1 1 2
0 1 0
2 0 1
2 0 0
0 1 1
0 2 0
2 0 2
2 2 2
10 7
1 1 2
2 0 0
2 1 0
1 0 1
2 2 0
1 2 0
0 0 1
2 0 1
1 2 1
2 0 2
10 6
1 0 0
1 0 2
2 2 2
2 2 1
1 1 0
0 2 2
1 0 1
1 2 1
2 2 0
0 0 1
10 7
1 1 1
1 1 0
0 2 0
0 2 2
2 1 1
2 0 0
0 2 1
2 1 0
2 2 1
1 0 2
10 9
2 0 1
1 1 2
2 1 2
2 0 0
1 0 1
0 1 1
1 2 1
2 2 1
2 2 2
2 1 1
10 4
0 0 0
2 1 1
1 2 0
1 0 0
0 2 1
0 1 0
0 0 2
0 2 2
0 1 1
2 1 2
10 6
1 0 2
0 0 0
1 0 0
2 1 2
0 0 1
2 2 2
0 0 2
1 2 2
2 0 1
1 1 1
10 7
1 2 2
0 2 0
2 1 1
0 0 0
2 2 1
0 0 1
1 1 2
0 2 1
0 1 0
2 1 2
10 8
2 2 0
2 2 2
1 1 2
2 1 1
2 0 2
1 2 1
0 1 1
2 1 0
0 2 1
2 2 1
10 6
2 2 0
3 2 2
3 2 3
1 2 1
3 2 1
2 2 3
1 0 2
1 1 1
0 3 2
1 0 3
10 3
0 1 2
2 2 1
2 1 1
0 1 1
2 1 0
0 0 1
1 2 2
2 0 2
0 2 1
1 1 0
10 5
0 2 2
2 0 1
1 1 0
0 1 2
2 1 2
0 0 0
1 2 1
2 1 0
2 1 1
1 2 0
10 2
0 1 1
1 1 0
2 0 2
2 2 2
1 0 2
2 1 0
2 0 1
2 1 2
1 0 1
2 0 0
10 5
0 1 2
2 3 0
1 3 2
0 3 2
3 0 2
3 2 1
3 2 0
3 2 2
0 1 1
3 3 0
10 4
2 1 2
1 0 2
1 2 0
2 2 0
0 1 1
1 1 1
1 1 0
2 2 2
0 1 2
2 0 0
10 4
0 3 0
3 2 3
3 2 2
1 2 3
0 0 1
2 2 1
3 1 3
3 3 3
1 3 2
1 3 1
10 9
3 3 3
0 3 2
2 0 2
1 0 3
2 3 3
3 3 0
1 1 3
3 2 1
3 2 2
2 0 3
10 6
0 1 1
0 0 2
1 2 1
1 1 0
1 2 2
0 1 2
0 0 0
0 1 0
0 2 0
1 1 2
10 8
0 0 1
2 1 0
2 1 1
1 0 0
0 2 2
0 0 2
2 2 1
0 2 1
1 1 2
0 1 1
10 9
3 1 3
1 3 1
2 1 1
1 1 1
0 1 0
2 0 1
1 2 3
1 2 2
0 0 0
3 1 1
10 8
0 3 3
0 1 1
3 3 3
0 2 3
1 0 0
3 0 3
1 1 1
0 0 3
2 3 1
1 1 2
10 3
2 3 2
3 0 1
2 2 2
2 3 1
3 3 2
0 2 3
1 3 3
3 0 0
1 3 0
1 2 3
10 8
3 0 2
3 0 3
0 1 0
2 3 1
2 2 0
2 0 1
1 1 0
2 0 2
3 1 0
3 2 2
10 4
3 0 3
0 3 3
2 0 3
1 1 2
3 3 3
1 0 1
1 2 3
3 3 0
2 1 0
3 2 2
10 6
1 2 1
0 3 3
1 3 0
2 2 3
2 0 2
2 1 1
1 2 3
3 3 1
2 0 3
2 2 2
10 8
0 2 2
0 0 0
2 0 2
2 1 2
1 1 1
1 2 0
2 2 1
1 0 2
0 0 2
1 1 0
10 6
1 1 3
2 1 2
2 1 3
2 3 0
0 3 2
1 2 3
3 2 2
0 3 1
0 1 3
3 3 3
10 6
0 2 2
0 2 0
2 2 2
2 1 1
0 1 0
0 0 2
1 0 1
2 1 2
1 1 1
1 0 0
10 9
0 2 1
1 0 1
1 2 0
2 2 1
2 0 2
0 2 2
2 0 0
2 2 2
1 1 0
0 2 0
10 7
2 2 1
1 0 0
2 2 0
0 0 0
0 3 0
3 2 0
1 2 1
0 0 1
1 0 1
1 1 2
10 6
1 0 1
2 2 2
2 1 2
2 0 2
1 1 2
0 0 1
1 2 0
0 2 0
0 2 1
1 1 0
10 4
1 2 3
3 3 2
1 3 0
2 2 3
0 2 2
1 1 0
1 3 3
3 1 3
1 0 0
3 0 3
10 2
0 0 2
2 2 1
1 0 1
0 2 1
2 2 0
1 1 2
0 2 0
2 1 2
1 1 0
0 2 2
10 7
2 1 2
2 1 1
2 0 2
0 1 2
1 0 2
1 1 1
2 2 0
1 2 2
2 1 0
2 0 0
10 9
0 2 2
0 2 1
2 1 2
0 1 2
1 0 0
2 2 2
0 0 0
0 2 0
1 0 1
1 1 0
10 3
2 0 2
2 2 0
2 2 1
0 2 2
1 1 1
0 1 2
2 1 0
0 1 0
1 1 0
2 0 1
10 4
2 2 2
1 1 0
0 0 1
2 2 0
1 1 1
2 2 1
0 1 1
1 2 0
1 2 1
0 1 2
10 4
0 1 0
0 0 2
1 1 1
0 2 2
0 1 2
1 1 0
2 0 0
1 2 2
0 1 1
0 2 1
10 3
0 0 2
2 0 0
0 1 2
2 1 2
1 0 1
0 1 1
2 2 0
1 1 1
1 2 0
2 0 1
10 5
3 3 2
0 3 3
3 3 0
3 1 1
0 3 2
0 2 2
0 0 0
1 1 3
1 0 2
2 1 3
10 4
2 2 3
3 0 2
0 2 0
2 3 1
2 0 1
3 3 2
1 1 1
1 2 1
3 3 3
1 0 0
10 7
0 2 2
0 0 1
2 1 2
2 1 1
2 2 0
1 1 0
1 1 2
1 2 1
2 2 2
0 0 2
10 4
1 1 2
2 0 0
2 2 2
0 1 1
0 0 1
1 1 0
0 2 1
2 0 2
0 0 2
1 1 1
10 2
2 1 0
0 1 0
0 1 2
2 2 0
2 1 2
2 2 2
1 1 0
1 0 0
1 1 1
1 1 2
10 9
0 2 0
1 2 2
0 1 2
1 0 2
2 2 1
1 1 0
2 2 2
2 0 2
2 1 1
0 0 0
10 5
1 2 0
2 2 1
3 1 3
1 2 1
2 3 1
3 2 2
0 0 0
2 1 3
0 1 0
1 3 2
10 9
1 1 1
2 0 3
0 0 0
3 1 3
3 2 3
1 1 3
0 3 2
2 2 1
1 3 1
3 2 2
10 7
2 1 1
2 0 0
0 2 1
0 0 2
2 2 0
1 0 1
2 2 1
1 1 2
0 0 0
0 1 1
10 8
2 3 3
0 0 1
1 0 1
2 0 3
1 0 3
0 2 1
0 1 3
0 3 1
1 3 1
3 0 1
10 5
0 0 1
1 2 0
2 0 1
0 0 2
0 0 0
1 0 2
2 0 2
1 1 1
0 1 0
1 2 2
10 9
2 1 2
2 2 1
2 1 0
1 2 1
0 2 1
0 1 2
0 2 2
1 0 2
1 1 2
0 0 0
10 8
2 1 2
2 0 2
1 2 2
1 2 1
0 2 1
0 0 0
0 1 0
0 1 1
0 1 2
1 2 0
10 7
3 0 0
2 2 1
1 3 2
0 1 2
1 2 3
0 0 0
0 2 2
1 0 3
2 1 2
2 2 0
10 7
1 2 0
0 0 0
1 1 1
2 2 2
2 1 1
2 0 2
1 2 1
0 2 2
1 1 2
0 1 2
10 6
2 2 0
2 2 2
2 2 1
2 1 0
0 2 2
1 2 0
2 0 2
2 0 1
0 1 2
1 0 2
10 4
1 1 0
2 1 1
0 0 1
1 0 1
1 0 2
0 0 2
1 2 2
2 1 2
1 2 1
3 0 2
10 7
0 2 2
2 3 2
0 1 2
3 3 1
1 0 3
0 3 0
2 2 2
2 0 3
2 3 3
1 3 1
10 9
0 0 0
2 0 3
1 2 1
1 3 2
1 2 3
3 3 1
0 3 1
0 2 3
2 2 2
1 1 2
10 8
2 0 2
2 3 2
0 3 3
3 1 0
1 2 3
2 2 1
1 3 3
0 3 0
0 3 2
3 1 3
10 4
3 3 1
0 1 3
1 2 2
2 0 2
2 0 3
1 1 0
3 0 2
0 2 2
1 1 1
2 0 0
10 9
2 3 0
2 1 1
0 0 3
0 2 0
3 2 0
2 2 3
1 0 0
3 1 0
2 0 1
3 1 1
10 3
1 0 2
1 1 2
0 1 2
1 1 1
0 0 2
2 2 1
1 2 2
0 1 0
0 0 0
2 0 2
10 3
3 1 1
1 2 0
0 2 2
3 3 2
0 0 1
3 2 1
0 3 3
0 1 0
3 0 0
1 2 3
10 6
0 2 1
1 1 1
2 2 2
1 2 0
0 0 2
1 2 1
1 0 1
2 0 0
2 1 2
0 0 1
10 3
1 2 2
1 1 1
1 0 1
2 0 2
0 2 0
0 0 1
0 1 0
0 0 0
1 0 0
2 0 1
10 7
3 1 0
1 3 2
1 0 3
1 3 3
1 3 1
3 0 3
0 3 0
3 3 0
2 1 0
1 1 0
10 3
2 1 0
0 2 0
2 2 1
0 1 1
0 0 2
2 1 1
2 0 0
0 2 2
1 0 1
0 1 0
10 9
0 0 1
1 1 2
1 1 0
2 1 1
0 2 2
0 0 0
1 2 1
2 0 0
2 1 0
1 0 0
10 2
0 1 0
1 0 0
1 0 1
1 2 0
1 0 2
0 1 2
2 1 0
2 2 0
2 0 2
2 1 2
10 2
0 0 1
1 0 2
1 1 2
0 0 2
0 0 0
2 0 2
0 2 2
2 0 1
2 1 2
0 1 2
10 3
0 2 1
0 2 2
1 1 0
0 0 1
0 1 1
1 2 2
2 2 0
2 0 1
1 1 1
1 0 0
10 2
2 2 0
0 1 0
2 0 2
1 2 2
1 0 1
2 1 2
2 2 1
1 2 1
1 0 2
1 1 1
10 3
2 1 2
1 2 0
2 0 1
0 1 0
1 0 2
1 0 1
0 2 1
0 1 2
1 1 0
1 1 2
10 3
0 1 3
0 2 2
2 3 3
0 0 3
0 0 1
2 1 2
3 0 2
3 3 2
0 3 3
0 2 1
10 4
1 1 0
2 0 1
2 1 2
2 0 3
2 0 0
3 1 3
1 2 2
2 2 1
3 1 1
3 3 3
10 5
0 3 3
2 3 3
2 0 0
0 0 1
3 1 1
3 1 3
3 0 3
2 0 3
1 2 1
0 3 1
10 2
2 3 3
2 1 0
1 1 2
1 2 0
1 3 2
0 0 1
3 3 3
2 2 3
0 3 1
1 2 2
10 7
2 0 1
1 1 2
2 1 0
1 0 2
2 0 2
1 1 0
0 0 1
0 1 1
0 2 0
1 2 2
10 5
2 2 1
0 0 1
1 0 2
1 1 2
0 2 1
0 0 2
0 0 0
1 2 1
1 2 0
1 0 0
10 4
2 2 1
0 0 0
1 0 0
0 2 2
1 1 3
2 1 1
3 2 3
2 1 3
3 0 0
3 1 1
10 8
2 1 2
2 1 0
1 1 0
0 0 2
0 1 2
2 2 2
2 2 1
2 0 2
0 2 1
1 2 1
10 4
0 1 3
0 2 2
2 2 2
0 0 0
2 0 0
1 0 3
2 0 1
0 3 2
2 1 2
0 0 1
10 3
3 1 0
1 1 1
1 3 2
2 0 0
1 3 1
2 1 1
1 1 0
3 1 3
1 0 2
3 0 2
10 7
2 1 2
2 0 2
2 0 1
1 1 1
0 0 0
2 1 1
1 2 1
2 1 0
2 2 1
1 0 1
10 3
0 0 0
1 0 1
0 2 0
1 1 1
2 2 0
2 1 1
2 2 2
0 0 2
2 2 1
2 0 1
10 6
0 2 1
2 2 2
1 2 2
1 0 2
0 1 1
2 0 0
2 2 1
1 1 1
0 0 1
0 2 2
10 3
2 2 3
0 3 2
0 3 1
1 1 0
2 0 0
1 0 3
0 0 3
1 1 1
3 3 0
3 2 0
10 7
0 2 1
1 1 2
0 1 3
0 2 3
0 0 3
0 3 1
0 0 0
3 3 0
1 1 0
0 0 2
10 5
3 2 2
0 2 1
3 0 0
0 1 0
1 2 1
2 2 3
0 1 3
2 0 2
3 2 0
2 0 0
10 2
1 0 2
0 1 1
2 0 1
1 0 0
1 1 1
0 0 2
2 2 1
0 2 1
0 0 0
0 1 2
10 9
2 2 2
0 2 0
2 1 0
2 0 1
2 2 1
2 1 1
0 1 1
0 0 0
2 2 0
1 2 2
10 7
2 1 1
0 1 2
1 2 0
2 0 0
2 2 3
1 2 3
2 3 0
0 1 1
0 0 2
1 1 1
10 6
0 1 0
1 0 2
0 2 0
1 1 0
0 2 1
1 0 0
1 1 1
0 1 2
2 1 0
1 0 1
10 4
0 2 3
2 0 3
0 3 0
1 2 3
1 0 2
2 2 1
1 3 0
0 2 1
2 3 3
0 3 2
10 6
1 0 1
1 1 2
1 1 1
2 0 1
1 2 0
2 1 0
2 1 1
1 1 0
0 1 0
2 2 0
10 8
0 2 0
2 1 1
1 2 2
2 1 0
0 0 1
0 1 1
0 0 2
2 2 1
1 1 2
1 0 2
10 7
0 1 3
0 2 0
1 1 2
1 0 3
2 1 1
0 3 0
2 1 3
2 1 0
1 0 2
1 3 3
10 6
2 0 0
1 1 1
0 0 0
0 1 0
2 2 1
2 0 2
0 2 0
2 2 0
0 2 2
1 2 1
10 4
2 1 0
1 1 2
3 1 1
3 1 3
0 0 1
1 1 0
3 2 2
0 1 3
3 1 0
0 3 0
10 5
1 2 0
3 1 1
2 3 2
2 0 2
0 1 0
1 0 2
1 2 3
0 1 3
1 1 1
2 3 1
10 9
2 1 0
0 2 2
0 0 0
0 1 0
1 2 2
1 0 1
0 1 1
0 2 0
2 1 1
0 2 1
10 4
1 2 2
2 1 1
2 1 0
2 2 2
1 0 0
1 0 1
2 2 1
1 1 2
2 0 1
1 2 1
10 5
2 1 0
2 0 2
0 2 1
2 0 1
0 2 0
0 1 1
1 0 0
2 2 0
0 0 2
0 2 2
10 5
1 2 1
0 1 2
2 0 0
2 1 1
2 2 2
2 0 1
1 2 2
0 0 2
2 1 0
0 0 0
10 8
2 1 1
0 0 0
0 2 0
0 1 0
0 2 1
2 2 1
0 1 1
2 1 0
0 0 1
1 2 0
10 3
0 2 3
3 2 0
0 0 3
2 1 0
3 2 3
3 3 2
1 1 1
3 3 1
0 1 0
1 1 0
10 5
1 3 3
3 1 3
1 0 2
2 2 0
0 1 2
3 1 0
2 1 3
2 3 1
2 3 3
3 2 3
10 7
2 1 2
0 2 1
1 0 1
2 2 2
1 1 0
0 1 2
0 2 0
2 1 1
2 1 0
0 2 2
10 2
2 2 2
0 2 0
0 1 1
1 2 2
2 0 1
1 0 1
0 2 1
0 0 1
2 0 2
1 2 1
10 8
0 1 0
1 3 0
1 1 1
3 3 2
3 1 2
3 2 3
0 1 3
3 3 1
2 1 2
2 3 0
10 5
2 0 2
2 0 1
0 2 2
1 2 2
2 1 1
0 0 0
1 0 2
2 1 3
2 2 1
0 1 3
10 8
2 2 1
1 2 2
1 3 1
2 1 1
3 1 2
3 0 3
1 0 3
0 1 3
0 2 3
3 1 1
10 8
1 0 0
0 0 1
0 0 0
2 2 0
1 1 1
1 0 1
0 2 1
0 1 1
1 1 2
0 2 2
10 7
1 3 2
2 1 2
1 2 2
0 1 3
1 2 1
1 0 0
2 1 1
3 3 2
2 3 1
0 1 2
10 7
0 2 2
2 0 0
0 0 1
2 0 1
1 0 2
0 0 2
1 2 0
0 0 0
1 2 2
0 1 2
10 9
0 2 1
2 2 2
2 2 1
1 2 0
2 1 2
0 0 2
0 2 0
1 0 0
1 1 2
1 2 1
10 8
0 3 1
1 3 0
1 3 1
2 3 0
0 1 2
2 1 0
1 2 3
0 3 0
0 0 2
1 0 2
10 8
1 1 2
1 1 3
3 1 3
2 0 2
3 0 2
0 0 2
2 2 3
0 2 0
1 1 0
3 1 0
10 6
0 2 2
0 2 1
2 2 0
2 2 1
2 1 0
0 1 2
1 1 1
2 1 2
0 1 0
2 0 0
10 2
3 2 3
3 0 1
1 3 0
2 2 0
3 0 2
1 2 2
3 2 1
1 3 1
2 3 1
3 3 2
10 3
2 2 1
1 0 1
2 0 2
0 1 1
2 0 0
1 1 2
0 0 2
0 2 2
1 2 1
1 2 0
10 2
3 3 0
3 2 2
1 3 0
2 0 2
0 0 2
3 3 2
2 0 3
1 2 2
0 2 1
3 0 2
10 8
0 1 0
1 2 0
2 1 3
1 2 3
1 3 1
2 2 0
1 0 2
1 1 0
1 1 1
0 3 3
10 4
1 0 2
2 0 2
0 0 0
0 1 0
2 2 2
2 1 2
2 1 1
1 0 1
2 0 0
0 0 1
10 9
2 1 2
1 0 1
1 0 2
0 1 0
0 2 0
0 0 1
1 1 2
1 1 0
1 1 1
2 0 0
10 9
2 0 1
2 3 3
2 3 0
0 2 0
2 1 2
0 3 2
0 1 2
1 0 2
3 2 1
3 1 2
10 6
2 2 2
1 2 3
3 3 0
1 0 2
1 1 1
1 1 3
0 3 3
3 3 3
3 0 1
1 2 1
10 4
3 3 0
2 3 3
3 1 0
1 1 1
3 1 2
3 3 3
3 1 3
0 0 2
2 0 3
2 2 3
10 6
2 2 1
3 0 2
3 0 1
2 0 3
2 2 3
3 3 1
2 2 0
3 1 3
0 2 2
0 3 0
10 6
1 2 0
1 1 2
2 1 0
1 0 0
0 0 1
2 0 0
1 0 2
0 1 0
2 0 1
1 2 2
10 8
1 1 1
3 0 1
0 1 1
3 2 0
2 2 0
3 2 1
0 1 0
1 3 3
2 3 0
1 0 2
10 9
2 1 2
2 2 2
1 0 1
1 0 0
2 1 0
2 2 0
0 2 0
2 0 1
0 1 1
0 2 2
10 6
0 3 0
3 0 1
1 0 1
2 0 1
1 1 1
0 3 2
3 2 3
2 3 2
0 3 3
1 0 3
10 9
1 0 2
1 2 2
2 1 2
2 0 1
2 1 1
1 1 1
1 1 0
0 2 2
1 2 1
1 1 2
10 3
1 1 0
3 0 2
2 0 2
0 2 2
3 0 0
1 2 0
2 0 0
3 1 1
3 0 3
1 0 3
10 4
2 2 0
0 2 2
0 0 2
1 1 0
1 0 2
2 2 1
1 2 0
1 2 1
0 0 1
1 2 2
10 6
3 2 3
0 2 1
3 1 0
1 2 2
3 1 2
1 3 1
0 1 2
2 2 1
0 2 3
2 0 0
10 2
1 1 0
2 1 0
0 1 0
0 0 0
2 2 2
2 0 2
1 2 0
0 1 2
0 0 2
2 0 0
10 8
2 0 1
2 1 0
0 0 2
2 1 2
0 2 0
2 2 2
0 1 2
1 2 0
1 2 1
2 2 0
10 4
0 0 0
0 1 0
0 2 0
0 1 2
2 1 2
2 0 1
1 2 1
2 2 2
2 0 0
0 2 1
10 4
0 1 3
0 0 1
3 3 3
1 1 2
2 0 2
1 2 3
2 2 0
3 0 0
0 0 2
3 1 1
10 9
1 1 1
0 0 2
1 0 2
1 2 2
1 0 0
2 1 0
0 1 1
2 2 2
2 1 1
0 1 0
10 3
1 2 2
2 2 1
2 2 0
1 2 1
2 0 0
0 2 1
2 1 0
0 2 2
0 1 0
1 1 0
10 3
1 2 0
0 2 1
0 1 1
1 2 1
1 1 0
1 0 2
2 0 2
2 1 2
2 1 0
2 2 1
10 8
0 3 3
2 3 2
0 2 1
3 1 2
3 2 3
2 3 0
2 2 0
1 0 0
1 3 2
1 2 3
10 7
3 0 0
1 3 2
1 3 3
3 3 2
2 2 2
3 2 0
0 0 2
3 3 1
1 1 3
3 1 2
10 5
0 1 0
2 2 2
1 0 0
0 0 1
1 2 0
2 0 2
0 2 0
2 2 1
0 2 2
2 1 2
10 2
1 1 2
0 1 0
0 0 0
1 0 0
2 0 2
0 1 2
2 0 0
2 1 0
0 0 2
0 2 0
10 6
0 1 0
1 3 1
1 3 3
3 0 1
0 0 1
0 0 3
1 0 1
2 2 3
3 2 3
2 3 3
10 9
2 0 2
1 3 3
2 0 3
3 2 3
3 0 1
0 2 2
3 1 1
1 0 0
1 1 2
0 1 1
10 2
2 0 1
1 2 1
0 2 0
1 0 2
1 1 2
0 0 0
2 0 0
2 1 1
2 1 0
2 0 2
10 8
0 2 0
0 2 1
0 2 2
2 1 3
1 3 2
0 3 0
2 3 0
1 0 2
3 1 3
1 0 0
10 8
2 1 0
1 2 2
2 2 0
1 2 1
0 2 1
0 2 0
2 1 2
1 1 0
2 1 1
0 0 0
10 8
1 1 1
1 1 2
1 2 0
3 0 1
1 2 3
0 2 3
3 1 1
3 1 3
0 2 1
0 1 2
10 5
0 2 0
0 1 2
2 2 0
1 0 2
0 0 2
1 2 1
1 1 1
1 1 0
2 2 2
0 1 1
10 6
1 1 1
1 3 0
3 0 3
0 2 0
3 3 3
0 0 1
1 0 2
1 2 1
3 0 0
2 1 1
10 6
2 0 0
0 1 0
0 1 1
0 2 0
0 3 2
0 1 2
3 2 1
3 1 0
3 1 3
0 2 2
10 7
0 3 0
2 2 0
2 2 2
3 1 2
2 2 3
0 0 0
2 2 1
2 3 2
3 0 3
3 0 2
10 9
0 3 3
1 3 3
0 3 2
1 3 1
2 3 2
1 3 2
0 0 1
3 0 0
3 1 0
3 2 2
10 4
3 3 3
1 1 0
3 0 2
0 2 0
1 1 1
2 1 1
0 0 0
0 0 1
1 0 2
2 0 3
10 2
2 2 1
2 0 2
1 1 2
0 2 0
2 0 0
0 0 0
2 1 0
2 2 2
2 1 2
2 1 1
10 2
0 1 2
2 2 1
0 1 0
0 1 1
2 0 1
2 1 2
2 2 2
0 0 2
0 2 1
0 0 1
10 4
0 2 2
0 1 1
1 1 2
2 0 2
2 2 2
1 2 0
2 0 0
1 1 0
1 1 1
2 0 1
10 4
0 2 1
2 0 2
0 1 0
1 1 2
2 0 0
2 0 1
1 1 1
0 2 2
0 2 0
0 0 0
10 7
2 2 1
0 0 0
1 1 0
0 2 2
2 1 2
0 2 1
0 0 2
2 2 2
0 0 1
0 1 0
10 9
0 2 0
2 0 2
0 1 0
0 0 2
2 2 0
1 0 0
1 1 2
2 2 2
0 2 2
2 1 2
10 4
1 0 2
1 2 1
0 1 2
0 0 2
1 1 1
2 2 1
2 0 0
2 0 1
0 1 0
1 2 0
10 4
1 3 3
1 2 1
3 3 3
3 1 0
2 2 3
0 3 1
0 3 2
0 2 0
0 2 2
2 1 2
10 5
0 2 1
2 1 1
1 1 1
2 0 0
2 2 0
1 1 0
0 2 2
2 0 1
1 2 2
0 0 0
10 5
2 2 2
0 0 1
0 0 0
2 0 0
1 0 0
2 2 0
0 0 2
2 0 2
1 2 1
1 2 0
10 5
1 0 2
2 0 1
0 3 3
3 2 1
0 0 1
0 0 3
3 2 3
3 0 1
2 0 3
2 2 0
10 6
2 1 1
0 1 2
1 0 1
1 2 2
1 1 2
2 2 1
2 0 0
0 1 0
1 1 0
1 1 1
10 6
0 1 2
2 2 1
0 2 2
2 0 0
1 2 2
1 1 0
1 0 2
0 0 0
2 1 1
0 0 1
10 6
0 0 2
0 2 0
1 1 0
0 1 2
2 2 0
1 1 2
2 0 1
2 1 2
1 0 0
0 0 1
10 7
0 0 3
1 1 3
3 0 3
2 1 3
0 1 2
1 2 1
3 2 3
2 2 0
2 1 0
3 3 1
10 5
1 2 1
3 0 3
0 1 2
1 2 0
0 2 3
0 0 1
2 0 2
2 2 1
3 2 1
2 3 2
10 9
1 0 2
2 2 1
2 0 1
2 1 0
0 2 2
1 1 1
1 2 2
2 2 0
0 0 1
1 2 1
10 2
2 2 1
2 1 0
0 1 2
1 2 1
0 0 1
0 2 1
1 2 0
2 0 1
0 1 0
0 2 2
10 2
2 0 1
2 1 1
3 1 1
2 2 0
3 0 1
0 1 3
3 2 1
3 1 3
3 3 1
3 0 2
10 9
3 3 1
0 0 1
2 3 3
3 2 1
0 3 0
3 3 0
2 0 0
1 0 3
2 1 3
0 1 2
10 6
3 2 2
3 0 0
2 1 3
1 2 2
3 0 1
1 2 0
3 1 3
1 0 2
0 1 0
1 3 2
10 6
2 2 2
1 1 2
0 2 2
2 2 0
0 1 0
2 1 1
1 2 0
1 2 1
2 0 1
0 2 1
10 7
0 2 0
0 0 2
0 0 1
0 2 2
1 0 2
2 0 1
2 2 1
0 1 1
2 2 0
1 0 1
10 8
3 0 3
2 2 1
3 2 0
1 2 3
2 3 0
2 0 3
2 0 2
1 1 0
1 0 3
0 3 0
10 3
0 1 1
2 1 1
2 1 3
3 0 2
1 3 3
3 1 2
2 0 3
1 1 3
1 3 1
0 3 2
10 6
0 1 0
0 1 2
0 0 0
0 0 1
1 2 1
2 0 1
2 1 2
1 1 1
0 2 2
1 0 1
10 9
2 1 3
2 2 0
0 3 1
1 3 1
2 3 0
0 3 0
2 0 0
0 2 2
2 1 0
3 0 1
10 2
1 2 1
1 1 1
0 2 0
1 0 0
2 2 1
1 0 2
1 1 0
1 1 2
1 2 0
2 0 2
10 5
0 3 0
2 3 2
2 2 2
3 0 1
2 1 1
2 1 2
0 0 2
0 0 0
1 3 3
0 3 1
10 9
0 0 0
0 1 2
0 2 0
0 2 2
2 1 1
1 0 1
0 0 2
2 0 0
1 1 0
2 0 1
10 6
2 3 2
1 0 1
1 0 3
3 3 2
3 1 3
0 2 3
3 1 2
0 2 0
3 3 1
1 1 1
10 6
2 0 1
3 0 2
0 3 2
1 2 1
1 0 3
3 2 2
3 3 3
0 3 0
1 2 3
3 0 0
10 6
1 1 2
1 3 1
0 2 0
0 1 2
2 0 2
2 2 3
2 1 0
3 2 1
3 2 0
1 2 0
10 7
0 0 1
2 2 1
2 1 2
0 2 2
1 2 1
1 0 1
2 0 2
0 2 0
2 1 1
1 1 0
10 5
1 2 2
0 1 2
2 1 0
1 1 3
0 0 3
1 3 3
1 1 2
3 3 3
1 0 3
2 2 2
10 9
2 2 0
0 0 2
2 0 1
0 2 1
1 0 2
2 0 2
1 2 2
1 0 0
2 2 2
1 1 1
10 6
3 0 2
3 1 0
2 1 3
1 2 3
0 1 2
2 0 3
3 1 3
0 1 3
3 1 2
0 0 3
10 8
3 1 3
2 2 3
2 2 0
2 2 1
1 2 3
2 0 3
1 3 1
3 3 3
1 0 1
0 0 2
10 5
1 2 0
0 1 1
0 1 0
1 2 1
1 1 1
0 0 1
2 2 2
1 0 2
2 1 1
0 0 0
10 5
0 0 2
2 0 1
2 2 1
1 1 0
1 2 2
1 2 0
2 1 2
1 1 2
2 1 0
1 1 1
10 6
0 2 2
0 2 0
2 2 1
0 1 2
1 1 0
0 0 2
1 0 0
0 1 0
1 0 2
0 0 1
10 7
1 0 1
1 1 2
1 2 1
2 0 2
0 0 1
1 2 2
0 1 1
0 2 2
0 2 1
1 2 0
10 8
0 0 2
1 2 1
0 1 1
2 1 2
0 2 1
1 2 2
2 0 2
1 2 0
2 1 0
0 1 0
10 2
0 2 1
1 1 3
2 3 0
1 0 0
2 0 1
1 1 1
3 3 0
3 2 3
2 0 2
2 2 0
10 9
0 2 1
2 2 2
2 0 1
2 2 1
1 1 0
0 0 1
1 0 1
1 2 1
1 2 0
2 1 0
10 8
2 0 0
2 2 0
2 1 1
1 1 0
1 1 1
0 2 1
1 0 1
1 0 2
0 1 1
2 2 2
10 6
1 0 2
1 2 1
2 1 2
0 1 0
0 2 1
1 2 0
2 2 1
1 1 2
0 1 2
0 0 2
10 7
3 2 0
3 1 1
0 3 0
2 3 3
1 0 3
0 1 0
1 0 0
2 2 3
1 1 0
2 0 2
10 4
1 0 0
3 2 1
2 2 1
2 3 1
3 0 2
2 1 0
3 2 2
1 2 1
2 3 0
0 1 0
10 6
0 0 2
2 2 0
2 3 0
3 0 2
2 0 1
0 3 3
0 0 1
0 3 2
3 3 1
3 2 3
10 7
1 2 0
2 2 2
1 0 1
0 0 2
1 0 0
2 2 0
2 0 0
1 2 1
2 1 1
1 0 2
10 8
1 2 0
2 1 1
0 2 1
2 2 1
2 2 2
0 1 0
2 0 2
0 0 2
0 2 2
2 2 0
10 4
2 0 2
1 1 2
1 0 2
1 2 2
2 1 2
2 0 0
1 2 1
0 1 1
0 2 1
1 1 1
10 3
1 2 1
1 1 0
1 2 0
1 2 2
0 2 1
2 2 0
0 1 0
2 1 1
2 0 1
0 2 2
10 8
0 1 0
1 1 1
1 2 1
2 2 0
1 0 2
2 0 1
0 2 2
0 1 1
0 0 2
2 2 1
10 9
0 0 3
2 0 2
0 2 0
3 2 1
3 2 2
1 2 1
2 0 3
1 3 1
1 2 3
0 1 3
10 6
0 0 3
0 1 0
3 2 2
3 1 2
0 0 2
3 3 3
0 3 3
0 1 1
1 2 0
1 3 2
10 4
1 0 0
2 1 1
0 1 1
3 0 3
1 1 1
0 3 1
1 2 3
3 0 1
3 1 3
3 1 1
10 6
1 2 0
0 1 2
1 1 0
1 1 1
0 1 0
0 0 1
2 1 1
2 2 1
2 1 2
2 0 0
10 2
2 1 0
2 2 2
0 0 1
0 0 0
2 1 2
1 2 0
0 2 0
0 2 2
1 2 2
2 2 1
10 7
3 3 1
1 0 0
3 2 1
0 0 2
1 1 2
0 0 3
1 3 0
3 0 0
3 1 0
2 3 3
10 4
2 1 2
0 2 2
2 2 0
1 2 1
1 0 0
0 0 2
2 1 1
1 1 2
1 0 1
0 1 2
10 2
1 1 1
0 2 2
1 0 2
0 0 1
1 0 0
2 0 2
2 1 2
2 2 0
0 1 2
2 0 0
10 6
0 2 0
3 2 2
0 0 0
1 3 0
0 0 2
2 1 2
0 0 3
2 3 1
3 3 0
0 2 2
10 4
2 0 0
0 1 0
2 1 2
2 1 1
0 1 2
1 0 2
0 0 1
2 0 1
0 1 1
2 2 2
10 2
2 2 2
1 0 0
0 0 0
0 2 2
2 0 2
0 2 1
0 1 0
1 0 2
2 1 2
2 2 1
10 6
2 3 2
2 1 2
2 2 1
2 0 3
2 0 2
1 1 0
3 1 0
3 2 3
1 1 3
0 0 0
10 3
2 3 0
2 1 3
1 2 1
3 0 2
1 0 3
3 3 2
1 2 0
3 1 2
0 1 1
1 0 0
10 8
3 3 3
1 0 1
0 1 3
3 2 2
0 0 0
1 2 3
2 2 3
2 3 3
3 3 0
2 1 3
10 9
2 2 2
0 1 1
2 1 1
1 1 0
0 0 1
1 2 2
2 0 0
0 2 0
1 0 2
1 2 0
10 3
1 3 2
3 1 1
0 3 1
2 1 0
2 0 1
1 2 1
2 1 2
2 0 2
0 3 0
3 1 0
10 2
0 3 1
3 3 2
3 2 1
2 2 3
1 2 2
2 1 0
3 1 3
1 0 3
1 2 0
3 3 1
10 4
2 1 2
3 2 0
0 1 2
3 3 3
1 2 3
2 3 1
0 2 2
1 3 0
1 1 0
2 2 1
10 3
3 3 1
3 1 3
1 2 1
0 0 2
1 2 3
3 0 3
3 1 0
1 3 1
0 2 0
2 1 3
10 4
0 2 2
2 2 1
2 2 2
0 1 1
1 2 1
2 1 1
0 1 0
2 0 0
1 1 2
1 1 1
10 2
2 3 2
2 1 0
2 0 1
1 1 3
2 3 0
1 2 2
3 0 0
1 3 3
0 0 0
3 0 1
10 5
0 1 1
2 2 1
1 2 1
2 1 2
0 2 1
1 0 1
2 0 0
0 2 2
1 1 2
1 0 0
10 4
1 1 0
3 3 0
1 0 1
2 2 2
1 3 2
1 3 0
3 0 3
1 2 1
0 3 1
0 1 3
10 4
1 1 3
3 1 3
1 0 1
1 2 3
2 3 1
3 0 3
0 2 1
2 2 0
3 3 3
2 0 1
10 5
1 2 0
3 0 2
2 3 1
3 3 3
1 3 3
1 2 2
0 2 0
0 1 0
3 2 1
3 2 0
10 8
3 0 3
0 1 1
2 0 1
1 2 1
0 0 1
1 1 1
2 1 0
0 0 2
3 3 1
0 1 3
10 9
1 0 0
2 1 1
3 3 0
2 3 2
0 1 1
0 2 2
1 3 0
1 3 1
3 0 2
0 1 3
10 3
1 2 1
2 2 2
2 0 2
0 2 2
2 0 1
1 1 0
1 2 2
0 1 1
0 1 2
0 0 2
10 6
1 0 2
1 2 1
1 1 1
0 0 1
1 0 0
2 2 0
2 2 2
2 0 1
1 2 2
2 0 2
10 7
0 2 1
2 0 2
2 2 1
0 1 1
1 1 1
1 2 0
2 2 2
1 0 0
2 0 0
0 0 0
10 2
2 2 0
0 2 0
3 0 2
3 3 2
3 0 1
1 1 3
2 1 0
3 3 0
0 0 2
0 1 2
10 5
0 2 0
3 0 0
2 0 1
0 3 1
3 1 0
0 3 0
2 1 2
3 1 3
0 2 3
3 3 1
10 6
2 2 2
1 2 2
0 1 0
0 2 3
0 1 3
2 3 2
0 3 3
1 1 3
3 0 3
2 1 3
10 5
0 2 2
0 1 0
0 2 0
2 1 1
1 2 2
1 1 1
1 1 2
0 2 1
2 0 1
0 1 1
10 6
2 0 0
2 1 3
1 2 0
3 3 1
1 3 1
3 2 3
3 1 2
2 1 0
1 0 3
0 1 0
10 8
2 3 2
1 3 1
0 3 1
0 3 0
2 1 3
1 3 2
0 2 2
1 0 3
1 0 1
1 2 3
10 5
1 3 3
0 3 1
1 3 2
1 3 1
0 2 0
1 1 2
0 1 3
3 2 2
2 3 0
1 1 1
10 3
2 2 1
1 3 1
3 3 3
3 1 3
3 1 1
0 1 3
2 0 1
3 1 2
1 1 3
0 2 0
10 5
2 2 3
3 1 1
3 2 0
0 0 0
0 2 2
0 3 1
1 3 1
3 3 2
2 1 3
2 3 2
10 4
0 1 1
1 1 0
1 0 2
1 1 1
1 2 1
2 1 2
0 2 0
1 0 1
0 2 2
2 0 0
10 7
1 2 1
1 1 2
0 2 2
0 1 1
2 1 0
0 1 0
2 2 0
2 1 2
0 1 2
1 2 0
10 5
3 3 1
1 2 0
3 1 0
3 3 0
1 1 0
1 3 1
3 3 2
0 1 0
3 1 3
0 1 2
10 3
0 2 1
1 1 2
2 0 2
2 2 0
2 1 2
2 0 1
1 1 0
2 2 2
0 0 2
2 0 0
10 8
0 1 2
2 0 2
2 1 0
0 0 1
1 0 1
2 1 2
0 1 0
1 0 0
0 2 2
1 2 2
10 4
1 1 0
0 0 1
0 0 0
0 2 2
1 0 0
0 2 0
2 0 1
2 1 2
0 1 0
2 2 0
10 7
3 3 3
0 2 0
2 0 0
1 2 3
3 1 1
2 2 2
2 1 2
2 3 3
1 1 1
0 0 3
10 4
1 2 2
0 2 0
1 2 0
2 2 1
2 1 1
0 2 2
1 1 1
1 0 0
2 1 2
2 2 2
10 4
1 2 1
1 2 0
2 0 1
1 1 0
2 2 2
1 0 2
2 1 1
1 0 1
2 2 0
0 1 2
10 6
0 1 0
0 3 1
3 0 1
2 1 3
1 3 1
3 3 1
0 1 3
1 1 3
2 3 0
0 2 0
10 3
2 0 1
2 2 2
1 1 1
3 0 1
3 0 0
3 3 0
3 2 2
1 0 0
1 3 0
0 0 1
10 6
1 1 0
1 2 0
1 2 2
2 1 1
0 1 2
1 2 1
0 2 2
2 0 2
0 0 0
2 1 2
10 9
1 1 2
2 1 2
2 1 0
1 2 0
2 0 1
0 1 0
1 2 1
2 1 1
1 1 0
2 2 2
10 7
2 3 3
3 2 0
1 1 0
1 2 0
2 0 3
0 0 3
2 1 2
2 1 0
3 1 3
3 2 1
10 7
1 1 1
2 2 2
1 0 0
2 2 1
1 2 0
0 0 2
0 1 0
2 0 2
1 1 2
2 0 1
10 7
2 0 0
2 0 2
2 2 2
2 2 0
0 0 0
1 1 0
0 2 1
2 2 1
1 0 2
1 2 1
10 3
0 2 1
1 2 1
2 2 2
0 1 0
0 0 0
2 1 0
2 0 0
1 1 0
0 0 1
1 2 2
10 7
1 1 1
0 1 0
2 2 1
1 2 1
0 2 1
2 0 2
1 0 0
2 0 0
2 1 1
1 1 0
10 4
1 0 2
2 0 0
0 2 2
0 1 1
1 1 1
2 0 1
2 1 2
1 2 0
1 1 0
1 1 2
10 4
3 2 2
3 2 0
0 1 3
2 3 1
1 2 0
2 2 2
3 0 3
3 2 3
0 2 0
1 1 2
10 7
1 1 2
3 1 2
1 2 3
1 1 1
3 2 2
0 3 0
3 1 1
3 3 2
1 1 0
3 0 3
10 6
0 0 1
1 1 0
0 1 1
0 2 2
2 0 0
2 2 1
2 0 1
1 2 0
1 0 2
0 0 0
10 9
1 2 0
2 2 0
0 0 0
0 1 2
2 1 0
0 0 1
1 1 0
1 0 0
0 1 0
2 2 2
10 2
2 2 1
2 3 1
3 3 1
1 1 3
2 3 0
2 1 0
3 0 3
2 0 1
1 2 0
0 0 3
10 9
2 2 1
1 2 0
2 1 2
0 1 0
0 1 2
0 0 1
1 2 1
0 2 1
1 1 1
1 2 2
10 4
1 0 0
0 0 0
1 2 1
1 1 1
0 2 1
1 1 2
1 2 2
0 1 2
2 1 1
1 1 0
10 4
0 1 1
1 2 0
0 2 0
2 2 2
1 1 0
1 2 2
2 1 2
1 1 1
2 0 1
1 0 2
10 4
0 2 2
1 2 2
2 0 0
2 0 1
0 0 1
1 1 0
0 1 1
1 2 0
0 0 2
1 2 1
10 7
2 2 1
0 0 0
2 1 2
0 1 2
1 1 2
2 2 2
1 0 2
2 1 0
2 0 1
2 2 0
10 9
0 3 0
3 0 1
2 0 3
0 0 1
0 0 3
1 0 1
1 3 3
0 1 2
1 3 0
2 3 3
10 3
3 1 3
2 1 3
1 1 1
1 0 2
2 1 0
1 2 0
3 1 2
3 0 3
1 2 3
1 1 3
10 5
1 3 2
1 1 0
2 1 2
2 2 0
2 2 1
3 2 0
0 0 1
2 0 0
3 3 3
2 0 3
10 8
1 2 0
1 2 2
1 0 2
1 3 0
2 2 2
1 0 0
2 3 3
3 0 1
0 2 1
2 1 1
10 9
2 3 0
1 1 0
1 3 1
1 1 1
0 0 0
3 1 0
1 3 2
0 1 3
0 2 3
2 3 3
10 2
1 2 0
2 0 0
2 1 1
2 2 0
0 1 1
2 0 1
0 0 0
1 1 2
1 1 0
2 0 2
10 3
1 0 1
2 3 1
3 1 0
3 2 3
2 2 2
0 3 1
2 0 2
2 1 0
1 1 1
1 0 3
10 9
2 0 2
1 2 1
2 0 0
0 1 0
1 0 2
2 1 0
1 0 0
2 1 2
1 2 2
2 1 1
10 8
0 0 0
3 1 0
3 1 3
2 2 2
2 1 3
1 3 3
2 2 1
1 3 2
3 3 1
1 1 3
10 7
1 0 1
1 0 0
0 0 3
2 1 3
2 3 3
1 2 1
0 0 1
0 3 3
1 3 3
0 1 3
10 8
1 0 1
2 0 1
2 1 1
1 3 3
3 3 0
1 3 1
3 1 2
0 1 1
3 3 2
0 2 3
10 5
2 1 2
2 2 1
1 0 1
0 1 0
1 1 0
1 1 2
1 2 1
2 0 2
2 1 0
1 1 1
10 5
3 3 1
1 3 1
1 3 2
2 0 2
3 0 2
2 1 0
2 3 1
0 3 1
1 2 2
3 2 3
10 6
1 0 1
0 0 0
2 2 1
0 1 1
0 1 2
1 1 0
0 2 2
2 1 1
1 0 0
2 0 2
10 9
2 0 1
2 2 3
1 2 1
2 2 1
0 3 0
3 0 3
2 3 0
1 3 2
1 0 3
1 3 3
10 4
3 0 0
0 3 2
1 1 2
3 0 2
1 0 0
2 3 2
0 3 1
2 2 1
2 1 1
2 0 3
10 4
0 0 1
1 2 0
2 1 2
0 0 0
2 0 0
0 1 0
0 2 2
1 0 0
1 1 2
2 0 2
10 5
0 0 2
1 2 1
1 1 2
1 0 1
2 1 1
2 0 1
0 1 0
0 1 2
2 2 0
1 1 1
10 2
1 3 0
1 1 1
2 2 0
1 0 2
0 1 1
2 2 1
0 2 3
1 1 2
0 0 1
3 3 2
10 9
2 0 1
1 2 2
1 0 1
1 1 2
0 2 2
1 0 0
0 0 2
0 2 1
2 0 0
2 0 2
10 5
1 0 2
3 3 0
3 0 2
3 3 3
3 2 2
3 1 1
1 3 2
3 0 1
0 2 1
1 2 2
10 6
0 1 1
2 2 0
1 2 2
0 0 1
1 2 1
2 0 0
2 2 2
1 0 1
1 1 1
0 2 1
10 2
3 3 0
3 2 2
2 1 0
3 0 2
0 0 0
2 3 0
2 0 2
0 2 1
1 2 2
2 1 2
10 3
0 1 1
2 1 0
1 2 1
0 0 2
1 1 0
0 1 0
1 1 2
1 0 1
2 1 2
2 2 1
10 5
2 1 2
1 2 0
2 0 1
0 2 1
1 1 0
0 1 1
1 0 1
1 2 1
2 0 0
0 2 0
10 3
2 3 1
0 1 1
0 0 2
0 2 0
0 2 1
0 3 0
1 0 3
2 1 2
2 2 2
1 2 3
10 6
0 2 0
1 0 0
1 2 2
0 0 2
1 1 2
1 2 1
0 2 1
0 0 0
2 0 1
2 2 2
10 4
1 1 1
1 2 1
0 1 0
1 0 0
2 0 1
2 2 1
0 2 1
0 0 0
0 2 2
2 0 0
10 6
2 1 0
0 1 1
2 1 1
0 2 2
0 1 0
0 0 0
2 0 1
0 1 2
1 1 1
1 2 2
10 2
0 1 0
2 1 1
1 2 3
1 0 0
1 0 3
2 3 0
3 0 2
1 3 0
0 1 1
2 2 2
10 6
0 2 2
2 1 2
0 1 0
1 0 2
2 2 2
1 2 2
0 0 1
2 0 2
2 0 1
1 1 2
10 9
3 1 3
0 0 3
2 3 2
1 1 2
1 0 1
3 3 1
0 2 0
3 3 3
3 2 2
0 3 3
10 3
0 2 0
1 3 1
0 2 2
3 1 3
3 1 2
1 1 0
1 0 2
0 0 3
2 3 1
2 2 0
10 3
2 0 1
1 2 2
0 0 0
0 0 2
2 0 2
0 1 2
1 2 1
2 0 0
1 0 1
2 2 1
10 5
2 2 2
2 1 2
2 0 3
2 1 3
0 0 3
3 3 1
3 0 1
2 2 1
2 1 1
1 1 2
10 3
2 3 2
0 3 3
3 1 2
2 3 1
2 3 3
3 1 3
1 1 2
1 3 2
1 3 3
1 2 3
10 7
2 2 1
2 2 0
2 1 0
1 1 1
0 2 1
0 0 0
0 1 2
1 1 2
0 2 2
1 2 2
10 5
0 2 2
0 1 2
1 1 2
1 2 0
1 0 1
0 0 2
2 1 0
2 1 1
2 1 2
1 2 2
10 5
2 2 1
1 2 1
1 0 1
0 2 2
0 1 0
2 0 1
0 2 1
0 1 2
1 2 2
1 2 0
10 7
1 0 2
2 2 1
2 0 0
1 0 1
1 1 0
1 2 1
0 0 2
0 2 2
1 2 0
2 1 1
10 9
0 1 1
1 1 1
1 2 1
0 2 1
0 1 0
2 2 0
2 0 0
1 1 2
0 0 1
2 0 1
10 5
2 1 1
1 1 2
0 1 2
1 2 1
0 0 0
0 0 1
2 1 0
1 0 0
1 0 1
0 2 2
10 3
1 0 1
2 3 0
2 1 3
0 1 1
2 1 0
3 1 0
0 0 3
0 2 3
0 3 3
1 2 0
10 9
0 3 3
2 1 2
0 0 2
0 1 2
1 2 1
0 2 2
1 3 2
3 0 3
0 3 1
3 2 3
10 9
0 1 1
2 0 0
0 0 1
0 0 2
1 2 2
2 1 2
0 0 0
0 1 2
2 0 2
2 2 0
10 6
3 2 1
2 2 2
0 2 2
3 3 0
3 0 2
2 1 0
0 0 3
1 3 0
2 0 1
0 0 1
10 9
3 2 1
2 0 1
3 3 3
3 0 0
1 0 0
3 2 0
0 2 0
3 3 1
2 0 0
1 1 2
10 6
0 3 0
3 1 2
2 0 0
0 0 2
0 1 1
2 2 2
2 3 2
0 1 2
3 0 2
3 0 1
10 7
0 2 2
0 1 3
3 1 1
2 1 3
0 3 1
0 3 0
2 3 0
3 0 2
1 2 3
1 3 2
10 8
1 3 0
1 2 0
0 3 3
0 3 0
1 3 3
0 2 3
0 0 1
0 2 1
2 0 3
0 0 2
10 8
2 1 0
1 1 0
1 1 2
1 0 0
1 2 2
2 2 0
0 0 1
1 2 0
2 0 1
1 0 1
10 4
0 1 2
0 0 0
1 0 0
1 2 1
1 1 2
2 0 1
2 1 1
0 2 2
2 0 2
1 1 1
10 3
0 0 0
2 3 2
3 1 3
1 3 0
0 0 3
1 2 0
2 0 0
1 1 0
2 3 0
2 1 1
10 7
2 0 0
2 3 0
3 1 2
3 2 1
1 2 1
1 0 3
1 0 1
0 1 1
2 1 3
1 3 2
10 9
1 3 2
1 2 3
0 2 2
1 1 2
1 1 0
2 0 1
2 2 2
0 2 0
3 0 2
0 2 3
10 7
1 1 0
1 1 2
0 0 2
2 1 2
0 2 2
2 1 1
2 2 2
1 0 0
1 0 2
1 2 1
10 6
2 0 0
0 1 1
2 2 1
1 1 1
1 0 0
1 1 2
0 0 1
0 2 0
2 0 1
0 2 1
10 2
0 1 0
1 1 1
2 0 1
2 0 0
0 2 2
1 0 0
1 0 2
0 1 1
0 0 1
1 1 2
10 4
1 1 3
0 0 3
0 3 3
3 1 2
1 2 1
1 1 0
3 2 3
0 0 2
2 3 0
3 2 2
10 4
2 1 2
1 0 1
0 0 2
0 0 3
1 1 1
0 0 1
3 1 0
2 3 0
2 3 1
0 3 2
10 3
3 0 1
3 2 2
0 2 3
2 2 2
2 2 3
1 1 3
3 2 3
0 1 1
1 0 0
1 3 1
10 9
3 2 0
3 1 0
0 3 0
3 0 2
3 3 2
1 0 0
2 0 0
3 3 0
1 1 1
3 0 0
10 6
0 2 2
1 0 0
0 1 1
2 0 2
0 2 0
2 2 0
2 1 2
2 0 0
1 1 1
1 2 2
10 9
2 2 2
3 0 0
0 0 0
2 2 3
2 0 0
2 2 0
2 0 3
3 1 3
3 1 0
1 2 2
10 4
2 2 2
1 2 3
0 1 0
0 0 3
1 3 3
0 3 3
2 2 0
0 1 2
1 0 3
0 0 2
10 9
1 1 1
3 2 1
1 3 3
2 3 3
2 0 2
1 0 1
2 3 1
0 2 1
1 2 2
2 0 0
10 3
0 2 0
3 1 0
1 0 3
2 2 1
2 0 1
3 2 2
3 2 1
1 1 1
2 1 2
2 3 3
10 9
2 3 2
1 0 1
1 1 3
1 3 3
0 3 2
2 2 1
0 2 1
1 1 2
0 3 0
1 2 2
10 4
3 1 2
2 0 0
0 0 3
1 2 0
0 2 2
1 1 1
2 3 3
2 3 2
1 3 1
0 2 1
10 7
0 3 1
3 1 3
3 3 3
0 1 0
2 2 2
1 0 0
1 3 2
1 3 3
0 0 0
3 0 3
10 7
0 0 2
1 1 2
0 3 0
2 1 3
0 1 3
0 3 3
1 2 3
1 1 3
0 0 3
1 0 3
10 5
2 3 0
0 0 0
1 0 3
3 0 1
0 0 3
1 1 0
2 3 3
2 1 0
0 2 2
0 0 2
10 4
0 2 2
0 1 0
3 2 1
3 3 2
0 0 3
3 1 3
0 3 3
2 1 0
0 3 1
2 0 0
10 2
1 0 2
1 0 1
2 0 0
1 2 1
0 1 1
2 2 1
1 1 2
2 2 0
2 2 2
0 0 1
10 7
0 2 2
1 3 0
3 1 1
0 2 3
2 0 2
0 0 0
1 1 0
1 3 2
0 2 1
3 0 1
10 6
1 1 2
0 2 0
0 1 2
1 0 2
0 2 1
0 0 0
1 1 1
2 1 2
1 2 2
1 2 0
10 3
0 1 2
0 0 0
1 0 0
0 2 1
2 1 0
2 0 0
2 2 1
0 2 0
0 0 1
1 2 2
10 5
0 2 2
1 2 2
2 0 3
0 2 1
3 0 3
2 2 3
3 1 2
2 0 0
0 2 0
0 3 1
10 6
2 2 1
2 0 1
0 0 1
0 1 3
2 0 3
3 2 3
1 2 0
3 3 3
0 2 2
3 0 2
10 9
3 3 0
0 2 3
1 3 1
1 3 0
2 2 1
1 0 1
1 1 2
0 3 0
3 3 2
1 3 3
10 8
2 2 1
2 2 2
1 2 0
1 0 0
1 1 1
2 0 1
0 0 0
2 0 2
0 0 2
1 0 1
10 4
2 3 1
2 1 3
0 0 1
3 3 2
3 2 2
1 3 2
1 0 2
3 0 3
0 1 3
0 3 3
10 5
1 1 0
2 2 1
1 2 0
2 1 1
1 0 0
1 2 2
0 2 1
0 0 2
1 0 1
2 0 0
10 3
3 3 3
0 3 3
0 0 3
3 1 2
3 0 1
3 1 0
1 1 1
2 2 0
1 3 0
3 0 3
10 3
2 2 2
0 0 1
2 0 2
0 1 1
2 0 0
0 1 0
2 2 1
2 1 1
1 1 0
1 2 1
10 6
1 1 2
2 2 0
1 0 2
2 2 2
2 1 1
1 1 1
1 0 0
2 1 0
0 0 2
1 2 1
10 4
2 1 0
1 1 2
2 1 2
2 2 2
0 2 2
0 0 2
2 2 1
0 1 0
2 0 2
2 2 0
10 2
1 1 1
3 2 0
0 0 2
2 0 3
1 2 0
2 3 1
2 0 0
1 3 2
1 2 3
2 3 0
10 5
0 2 0
3 3 1
0 0 1
2 3 2
1 1 2
2 2 0
3 2 3
2 3 3
3 1 3
1 0 3
10 8
2 2 0
3 0 3
0 3 3
2 1 2
0 3 2
0 3 0
3 3 0
2 1 3
0 1 0
2 2 2
10 4
0 2 1
2 1 2
2 0 2
0 1 1
0 0 2
2 1 0
1 0 1
0 0 0
2 2 0
1 2 0
10 4
0 0 0
1 2 0
0 2 2
2 2 1
2 0 2
1 1 0
0 0 2
0 0 1
0 1 2
1 1 1
10 4
0 1 0
3 0 0
0 3 0
1 1 1
0 0 1
2 1 2
1 3 1
0 3 3
3 0 1
3 1 0
10 8
1 1 1
1 2 1
2 1 1
2 0 2
1 0 2
2 2 1
0 0 0
1 1 0
1 0 0
0 1 2
10 9
1 2 1
0 1 0
1 0 2
1 2 2
1 0 0
0 0 0
2 0 0
2 2 2
1 1 2
0 2 0
10 8
3 3 2
0 0 2
3 1 3
1 1 0
1 1 1
0 0 3
3 2 1
2 3 0
3 3 3
0 2 0
10 4
0 0 0
3 1 2
1 1 3
2 2 2
1 0 0
2 2 3
1 1 1
1 1 0
2 3 2
0 1 1
10 7
3 3 2
1 3 2
0 1 2
2 1 0
1 0 1
0 1 1
0 2 1
1 0 2
0 3 2
1 1 0
10 8
0 1 2
2 1 2
2 0 2
2 1 1
0 2 0
2 2 0
1 0 0
1 0 2
2 1 0
0 0 2
10 8
2 1 1
0 1 1
1 1 2
2 2 2
1 2 1
2 0 2
2 1 0
2 1 2
2 0 1
1 0 0
10 7
3 0 2
3 0 1
1 3 1
3 2 3
2 2 1
0 1 1
0 1 2
0 0 2
2 1 3
0 2 1
10 9
0 1 2
1 0 0
0 1 0
0 0 1
1 0 2
1 2 1
2 2 1
1 2 0
1 2 2
0 2 0
10 2
2 1 1
0 2 2
3 1 1
2 3 0
1 3 3
3 0 0
3 3 0
0 0 2
1 0 0
2 0 1
10 2
2 0 1
2 0 2
0 2 0
0 1 1
1 2 1
1 1 0
1 2 2
2 1 0
2 0 0
0 1 0
10 5
1 2 0
2 0 0
0 0 0
2 1 0
1 2 2
1 0 2
1 1 2
2 2 1
2 0 2
2 0 1
10 2
0 2 0
1 2 2
0 1 0
0 0 2
2 0 0
0 1 1
0 0 0
1 1 1
1 0 2
2 0 2
10 3
3 0 1
1 2 0
1 3 1
0 0 2
0 1 1
2 0 1
3 3 0
3 1 3
0 0 0
3 3 3
10 8
3 2 1
3 3 1
3 1 3
1 2 0
1 2 3
1 0 3
1 3 2
2 1 3
3 0 2
3 0 3
10 2
0 2 1
1 0 0
2 1 0
1 0 1
1 2 0
0 0 0
0 2 0
2 0 2
0 1 0
1 0 2
10 7
1 1 1
1 1 2
1 0 2
1 1 0
0 0 1
0 1 0
1 2 2
0 2 0
2 1 2
2 2 2
10 2
1 3 1
2 1 3
0 1 0
2 0 1
0 2 0
1 0 0
3 0 2
1 2 1
1 3 3
2 3 1
10 9
0 1 2
0 2 0
2 1 2
0 0 1
1 2 1
1 2 0
2 0 0
2 2 0
1 2 2
2 2 2
10 8
2 2 2
2 3 0
0 2 0
0 0 1
2 1 3
0 1 1
3 3 0
3 0 2
2 2 0
3 3 3
10 7
2 0 2
1 1 0
1 2 2
1 0 0
0 1 1
1 0 2
1 2 0
0 0 2
0 0 1
1 1 2
10 6
2 2 3
1 0 2
0 3 1
2 0 2
3 0 0
1 2 3
0 0 1
0 0 0
0 1 0
2 0 1
10 4
0 1 0
2 2 0
1 2 0
0 1 1
2 0 0
0 0 1
1 0 1
2 1 1
1 2 1
0 2 1
10 5
0 1 1
0 0 0
1 2 2
0 0 1
2 3 2
1 0 1
3 3 1
3 0 3
1 3 1
2 1 3
10 7
1 2 1
1 3 0
3 2 0
2 0 2
1 3 2
1 2 2
3 2 1
1 3 3
2 1 1
0 2 0
10 3
0 1 1
1 1 0
2 3 3
3 2 3
3 1 2
1 3 2
1 0 2
0 1 0
0 2 2
1 0 3
10 4
2 2 1
2 2 0
2 0 1
1 2 1
0 1 1
2 1 2
1 1 1
1 2 0
0 2 2
0 2 1
10 7
0 1 2
0 2 2
0 1 1
1 1 0
2 0 0
2 2 1
0 0 1
1 1 1
0 1 0
2 0 2
10 5
0 1 1
0 1 2
2 0 2
2 0 1
1 2 1
0 0 1
1 1 1
2 2 0
0 1 0
1 0 1
10 5
1 1 2
1 3 2
3 3 1
3 0 3
3 0 1
3 2 1
2 2 3
1 3 0
2 0 1
1 0 2
10 4
0 1 3
1 1 1
2 2 3
0 3 1
3 0 3
3 3 2
0 1 1
2 2 0
2 3 0
3 3 3
10 8
3 0 2
2 2 1
3 1 2
0 3 2
1 2 1
3 0 1
1 3 2
3 2 3
2 0 2
2 2 3
10 3
0 1 2
0 0 1
1 0 2
2 0 1
1 2 1
2 1 2
1 0 0
1 2 0
2 0 0
0 2 1
10 3
1 0 1
2 2 2
2 0 1
1 1 2
0 0 1
1 2 0
1 1 1
0 1 1
2 2 1
2 1 0
10 6
0 2 0
1 0 2
2 2 1
1 1 1
2 0 1
2 1 1
0 1 2
0 0 2
1 0 1
2 2 0
10 3
2 2 2
0 0 1
0 2 2
1 1 1
1 1 2
2 1 2
0 0 0
0 2 1
1 2 2
2 2 0
10 7
2 3 2
3 3 0
3 0 0
3 3 2
3 2 2
1 1 3
0 2 3
3 3 1
1 0 0
2 2 3
10 9
1 1 0
2 0 1
0 2 2
2 1 0
2 0 0
0 1 1
0 1 0
1 0 2
2 2 0
1 1 1
10 8
1 2 2
1 1 3
0 1 2
2 0 3
1 1 2
2 0 2
0 1 1
2 2 1
0 1 0
1 3 2
10 6
2 2 2
1 1 1
2 1 3
1 2 0
3 2 1
1 1 2
0 1 2
0 0 2
0 3 3
0 1 3
10 8
0 1 0
1 2 2
0 0 2
1 1 2
0 2 0
0 1 2
2 0 2
0 2 2
2 1 0
1 0 0
10 5
2 1 0
0 2 1
0 0 0
2 2 1
1 1 1
2 1 2
0 0 2
2 0 2
0 0 1
2 2 2
10 8
2 0 1
2 0 2
2 2 1
0 0 2
0 1 2
1 0 1
1 2 2
0 2 2
2 0 0
1 0 2
10 8
2 2 1
1 0 0
2 1 2
0 2 0
1 2 0
2 2 2
0 1 0
2 1 0
2 0 0
0 0 0
10 6
1 1 1
2 1 2
0 2 0
0 2 1
1 2 1
2 2 0
2 0 1
1 2 2
0 1 0
0 0 2
10 9
0 2 2
0 1 1
0 0 2
1 2 2
0 2 0
0 0 1
2 1 2
2 1 1
0 0 0
0 1 2
10 8
1 1 1
0 2 1
1 0 0
0 0 0
2 2 2
2 0 2
1 0 2
1 0 1
1 2 2
1 2 1
10 9
1 2 1
1 2 0
3 0 3
0 3 1
0 0 2
0 3 0
3 0 0
3 1 0
0 0 3
1 0 0
10 2
2 2 0
0 0 2
3 1 1
1 1 1
1 3 3
2 3 1
3 1 2
0 0 0
2 3 2
2 3 3
10 3
0 0 1
1 0 2
1 1 0
1 2 1
1 1 1
0 2 0
2 0 1
0 2 1
2 1 1
0 0 0
10 4
2 0 0
0 1 1
0 2 2
0 2 0
1 2 1
0 0 2
2 2 1
2 2 2
2 1 2
2 1 1
10 2
2 0 1
0 1 0
1 1 0
3 1 3
3 1 0
3 1 2
2 2 0
0 1 2
3 1 1
1 3 3
10 4
1 0 1
0 2 1
2 0 2
2 2 1
2 2 0
1 1 2
2 1 1
2 0 0
0 2 0
2 0 1
10 3
1 1 2
1 0 2
2 2 2
2 1 2
2 2 0
2 2 1
2 0 2
1 2 2
2 1 0
0 0 2
10 6
0 3 0
1 1 0
2 1 1
0 2 0
2 0 0
0 0 1
0 2 1
3 1 2
0 3 3
2 2 3
10 9
2 2 2
0 1 1
2 2 1
1 2 1
1 1 2
0 1 2
2 1 0
0 0 2
0 2 0
0 0 0
10 9
0 2 2
2 2 1
1 0 2
0 0 1
0 1 1
0 0 0
0 1 2
0 1 0
1 2 0
2 0 0
10 8
1 0 1
2 1 2
1 1 1
1 1 0
2 2 1
0 1 2
1 2 2
0 0 0
2 0 2
1 2 0
10 6
1 1 2
2 1 2
2 1 1
2 1 0
2 0 1
1 0 2
2 2 0
0 2 2
0 1 1
0 1 0
10 8
2 2 0
1 0 2
0 0 2
2 0 0
0 2 2
1 2 1
0 1 1
2 2 1
1 1 0
2 1 0
10 6
3 0 0
0 2 1
0 1 0
2 0 3
2 3 1
2 2 0
2 2 1
3 1 2
0 2 0
0 1 3
10 9
1 1 3
1 3 2
1 1 2
0 3 0
2 2 1
3 1 1
2 2 0
3 3 1
2 0 3
1 2 1
10 5
2 0 2
3 1 2
2 3 1
1 1 0
0 3 2
0 3 3
3 3 1
1 0 2
2 0 3
2 1 0
10 9
0 0 1
2 2 0
3 1 0
2 3 3
3 0 3
1 0 0
2 2 2
2 1 2
0 0 2
0 0 3
10 6
0 3 0
3 3 1
3 2 3
1 0 1
1 2 3
3 1 2
2 2 2
3 0 3
1 0 3
2 1 2
10 8
0 0 2
2 2 0
1 0 0
2 1 0
1 2 2
2 0 2
1 1 1
2 2 1
0 2 1
1 0 2
10 2
2 1 2
0 1 2
0 1 1
1 0 0
1 2 2
0 2 0
2 0 2
2 2 2
2 1 1
0 0 1
10 5
1 1 0
2 2 2
1 0 0
1 1 1
0 0 1
2 1 0
0 1 1
1 0 1
1 2 1
1 0 2
10 5
0 2 1
1 0 2
0 0 0
0 0 2
1 2 0
1 1 1
1 1 0
0 2 2
0 1 1
0 1 2
10 4
0 1 0
0 2 1
1 2 2
1 2 1
0 2 2
0 2 3
0 1 3
2 0 3
2 1 1
2 1 2
10 4
2 0 2
0 2 0
1 0 2
0 1 1
1 0 1
0 0 2
2 2 2
0 2 1
1 1 0
0 2 2
10 2
2 1 1
0 2 2
1 2 0
0 0 1
2 0 1
1 2 2
1 1 0
1 1 2
2 1 2
2 1 0
10 6
1 3 2
3 1 0
2 1 2
1 2 0
0 3 3
1 1 3
0 3 2
3 1 1
0 1 1
1 0 0
10 4
1 3 1
0 0 1
3 2 1
1 2 2
0 2 1
1 1 0
3 1 1
0 1 2
1 0 0
2 0 3
10 2
2 0 2
1 1 1
0 2 1
1 2 0
1 0 2
0 0 2
1 2 2
0 0 1
2 1 1
2 2 1
10 9
0 0 2
2 0 1
1 0 0
1 2 1
2 2 0
0 1 0
1 2 2
0 2 0
2 1 1
0 2 2
10 9
0 1 1
0 3 2
0 1 3
2 3 2
3 2 2
0 3 3
3 1 2
0 2 2
0 0 1
3 3 2
10 2
2 1 0
2 0 0
0 0 1
1 0 0
2 2 2
0 2 2
0 2 1
1 1 2
0 0 0
1 0 1
10 5
2 1 0
2 2 2
0 1 1
1 0 0
0 1 2
0 0 0
0 0 2
2 0 2
2 0 0
1 1 0
10 6
0 1 0
1 1 1
1 2 1
1 0 1
2 2 1
2 1 1
0 0 1
1 0 0
2 2 0
2 0 0
10 7
1 0 2
2 0 1
1 2 0
1 1 2
0 0 2
0 1 0
0 2 1
2 1 0
0 1 1
0 0 0
10 2
2 2 1
1 2 1
1 1 0
1 0 1
1 0 0
0 0 0
1 1 1
1 1 2
2 1 1
2 1 2
10 5
0 1 0
2 0 2
1 2 2
0 0 2
1 1 0
2 0 1
0 0 1
1 1 1
1 0 2
1 2 1
10 6
0 1 1
2 0 1
2 0 0
1 2 1
0 0 2
2 2 0
2 0 2
1 1 2
1 0 2
2 2 1
10 2
1 0 3
0 3 0
0 0 3
2 2 1
0 2 0
3 3 2
2 3 3
2 1 0
2 1 2
0 3 1
10 2
0 0 3
3 3 3
1 3 3
2 1 3
0 1 1
3 0 1
1 1 2
2 0 2
3 1 2
1 0 0
10 9
2 3 0
2 0 1
3 0 3
2 1 1
1 0 3
3 2 1
1 1 0
2 3 1
3 1 2
1 2 0
10 3
2 2 1
2 0 2
2 1 0
1 1 0
1 0 0
1 1 2
1 2 1
2 0 1
0 2 2
2 2 0
10 9
0 1 1
1 1 2
1 2 1
1 0 1
2 2 2
0 0 1
1 0 2
2 0 2
0 2 2
0 1 0
10 8
1 0 1
3 1 2
0 3 3
1 3 3
3 3 2
2 0 3
0 0 0
2 2 1
0 1 2
1 2 3
10 9
1 0 0
1 2 2
1 0 1
2 0 2
0 0 1
2 0 1
2 1 1
1 0 2
1 1 2
0 2 1
10 6
2 0 3
2 3 1
0 2 2
2 2 0
3 0 2
0 0 3
1 2 0
1 2 3
3 1 3
0 2 1
10 4
1 0 0
0 1 1
1 2 1
0 0 0
1 2 0
0 0 2
1 1 0
0 2 0
0 1 2
1 1 2
10 5
1 2 2
2 0 1
2 2 0
0 2 0
2 0 0
1 0 1
2 2 1
0 1 2
2 0 2
1 1 2
10 7
0 2 2
2 0 0
2 3 3
2 1 1
2 0 2
3 0 0
1 0 1
2 2 1
0 1 0
1 1 3
10 2
1 2 1
1 2 2
1 0 2
0 1 2
2 1 0
1 1 2
0 0 0
2 1 2
1 0 1
0 2 2
10 9
0 2 1
0 3 2
0 1 0
0 1 3
2 3 1
3 1 1
1 0 0
0 0 1
2 0 1
3 3 2
10 5
2 1 0
1 0 1
1 1 1
2 0 2
1 0 3
0 1 0
0 1 1
3 3 3
1 2 1
2 0 1
10 6
2 0 2
2 2 3
2 2 2
0 3 0
3 3 3
0 0 3
1 1 2
2 3 3
3 0 2
2 1 3
10 2
0 3 2
0 0 2
2 1 3
3 1 0
3 1 1
1 3 3
2 2 3
1 2 2
2 0 1
3 2 0
10 3
2 1 2
3 0 2
1 0 1
2 2 1
2 2 2
2 2 0
1 1 0
2 0 1
0 2 0
0 3 1
10 3
2 1 0
0 1 3
2 3 3
2 2 1
3 3 1
3 1 1
0 3 3
1 1 0
1 3 1
1 1 2
10 2
0 1 2
2 2 1
1 2 2
1 2 0
2 1 0
0 1 1
0 0 1
0 0 0
2 0 2
2 1 1
10 5
1 2 1
0 2 0
2 0 1
0 0 2
2 2 1
0 2 2
0 0 1
1 0 1
0 0 0
0 2 1
10 4
2 2 1
1 0 2
0 1 2
0 1 3
2 0 3
3 2 0
3 0 0
0 0 1
1 1 1
2 0 2
10 7
3 0 0
0 0 1
3 3 3
0 3 2
3 3 2
3 1 0
2 2 3
1 2 3
0 2 3
0 0 0
10 4
2 1 1
1 3 0
0 0 1
1 1 2
2 1 2
2 3 3
3 2 3
1 2 2
1 0 0
3 3 2
10 7
1 0 2
0 0 1
3 0 1
0 0 2
2 2 0
3 0 3
2 3 0
1 1 1
3 3 1
0 1 1
10 7
1 0 0
1 0 3
2 3 3
2 1 2
0 0 0
1 2 0
0 2 1
2 1 1
2 2 2
0 3 0
10 4
1 1 1
2 3 3
3 1 0
3 2 1
1 2 3
0 3 3
0 2 3
2 2 0
3 3 2
1 0 0
10 4
2 1 1
1 1 1
0 1 0
1 0 0
1 0 2
1 2 2
1 2 0
2 2 2
0 2 1
2 1 2
10 6
1 2 0
1 1 1
0 1 3
0 0 0
2 1 1
0 0 2
2 0 2
0 0 3
3 2 2
2 1 0
10 3
1 0 0
1 1 0
1 1 2
1 1 1
2 0 1
2 2 2
2 0 0
0 0 1
0 0 0
0 2 2
10 2
0 0 1
1 0 0
3 0 3
1 1 1
3 0 1
2 0 2
2 3 1
0 2 2
3 3 0
3 1 1
10 5
0 0 0
1 0 3
2 1 1
1 3 0
1 1 1
1 0 0
3 3 0
0 3 2
1 2 2
2 0 3
10 5
2 2 2
2 1 2
2 1 1
2 0 1
0 1 0
1 1 0
1 2 2
0 1 2
1 2 1
0 2 2
10 3
1 1 2
1 0 0
2 2 1
1 0 2
2 2 2
0 0 2
2 1 2
0 0 1
2 0 1
2 1 1
10 8
0 1 2
0 2 0
2 2 1
1 0 1
0 0 2
1 2 0
2 1 0
1 0 2
0 1 0
2 0 2
10 2
0 3 2
1 3 2
1 1 3
1 0 2
2 2 3
0 1 0
3 1 3
1 3 1
2 3 3
3 0 2
10 6
2 3 0
2 1 2
3 2 0
2 3 3
3 3 3
2 0 1
1 0 0
0 0 2
3 2 1
2 2 2
10 7
3 0 1
1 1 3
1 0 0
1 0 3
0 2 2
3 1 1
3 0 2
0 2 0
2 3 0
2 2 2
10 2
2 1 1
0 1 1
1 2 2
1 1 1
1 0 3
2 1 3
1 3 0
3 2 0
3 1 0
0 1 0
10 6
2 2 2
3 2 3
3 3 3
1 3 3
1 3 0
1 2 1
1 2 2
0 1 1
2 2 3
1 1 3
10 6
0 0 1
0 0 0
0 3 1
1 1 2
2 0 3
0 2 0
3 0 2
1 3 1
2 3 1
3 2 3
10 8
1 0 0
2 0 2
1 3 1
2 2 2
1 1 0
3 1 0
1 3 0
0 0 3
3 1 1
2 0 3
10 4
3 3 0
1 0 1
3 3 2
3 2 2
1 1 2
0 1 3
2 0 0
2 1 0
2 3 1
2 2 2
10 4
3 1 1
0 2 3
2 1 0
0 2 2
2 3 2
0 0 1
2 0 1
3 3 1
0 1 3
1 2 2
10 4
0 2 0
2 2 2
1 2 0
2 2 0
0 2 1
1 0 0
1 1 2
2 1 1
0 0 0
1 1 0
10 3
2 2 1
0 2 1
1 3 1
2 3 2
3 0 1
2 0 2
0 3 2
3 2 1
3 3 0
2 0 3
10 5
3 1 3
3 2 0
3 0 0
1 0 0
3 3 0
0 0 3
2 2 0
1 0 1
1 1 1
1 3 1
10 6
1 2 1
0 1 2
1 1 2
2 1 1
1 1 3
3 1 3
3 2 0
0 0 0
1 2 3
0 2 2
10 7
1 2 0
1 1 2
0 3 3
3 0 0
1 3 2
2 0 1
1 3 1
1 1 1
2 0 3
1 0 0
10 4
0 0 0
1 0 1
2 2 1
2 1 2
2 2 2
1 1 2
0 2 2
0 1 2
1 1 0
0 0 2
10 5
1 1 1
0 1 3
0 3 3
3 0 3
3 2 3
2 3 3
1 3 2
3 0 1
0 2 3
3 2 0
10 3
1 1 1
2 0 1
2 1 3
3 1 2
0 3 3
3 3 0
3 0 3
0 1 2
3 2 1
1 0 2
10 3
0 3 3
2 2 3
0 2 2
1 3 0
1 0 0
1 3 2
0 0 2
3 2 2
3 3 0
1 2 0
10 7
1 0 1
1 1 0
0 0 0
0 3 2
1 1 1
0 2 3
0 0 2
1 2 0
2 3 1
1 2 2
10 8
0 0 2
2 0 0
1 0 0
2 1 1
2 1 0
2 2 0
1 2 1
1 1 0
2 0 1
0 2 1
10 2
1 1 0
1 2 0
0 2 2
2 2 0
1 1 2
1 1 1
2 2 2
1 2 2
2 1 1
1 0 0
10 4
2 2 2
2 0 3
1 3 3
3 2 2
2 3 2
2 1 1
3 0 0
1 0 2
2 3 0
1 3 0
10 3
0 0 1
2 1 2
2 2 1
1 0 1
2 2 2
1 1 0
2 1 0
0 0 0
1 2 2
1 0 2
10 6
0 2 2
1 1 2
1 2 1
0 2 0
2 0 1
1 1 1
0 0 1
2 2 1
2 1 0
0 1 2
10 7
0 0 1
2 2 0
0 2 0
2 1 2
1 1 0
2 0 0
0 1 2
1 0 2
1 2 2
0 0 0
10 4
1 3 1
1 0 0
3 1 1
3 1 3
0 3 2
2 1 1
0 2 2
2 0 0
3 3 3
3 0 2
10 9
3 2 2
3 3 1
2 3 3
0 1 2
3 0 2
2 2 1
1 3 0
2 1 1
0 0 0
1 1 1
10 3
2 3 1
0 2 2
0 1 1
2 3 2
0 0 1
2 1 3
3 0 2
2 0 3
3 0 3
3 2 2
10 4
1 3 0
3 0 3
2 2 0
2 3 1
1 2 1
0 0 3
3 1 1
3 3 3
1 2 0
2 1 0
10 6
2 2 1
1 2 0
0 0 1
1 2 1
0 1 1
2 2 2
2 1 1
1 2 2
2 0 1
1 0 1
10 3
0 2 1
0 0 2
0 1 2
1 0 2
1 2 2
0 2 2
2 0 1
1 2 0
2 1 0
1 1 1
10 2
0 1 1
0 1 2
3 0 2
1 1 1
2 3 2
2 0 0
2 1 3
3 3 0
0 2 1
2 1 1
10 7
2 0 1
0 2 0
1 1 1
0 0 1
0 1 1
0 2 2
0 2 1
1 0 0
2 2 0
0 0 2
10 5
0 1 2
1 1 3
3 0 2
0 0 1
1 3 2
2 3 3
1 0 2
3 3 2
3 1 3
1 3 1
10 3
3 0 1
2 3 3
0 1 0
0 2 1
3 3 3
2 2 2
1 3 2
2 3 2
3 2 2
3 2 3
10 4
2 0 0
1 2 1
2 1 1
0 0 1
0 1 0
2 0 2
2 2 0
1 2 0
1 0 1
2 1 2
10 5
0 0 0
1 2 1
2 0 1
2 0 2
1 1 2
0 1 1
0 2 0
0 0 2
0 0 1
1 2 0
10 2
2 0 2
0 2 3
3 2 3
3 3 2
0 0 2
2 1 0
1 2 1
0 2 0
3 0 1
2 2 3
10 3
0 2 1
1 0 3
1 2 1
0 1 3
2 2 3
3 3 1
2 1 1
3 0 2
1 0 0
2 3 0
10 4
1 1 2
0 1 2
1 1 1
0 1 1
1 0 2
1 0 0
2 0 0
0 0 0
1 2 0
1 2 1
10 7
2 0 1
0 1 0
1 0 0
0 0 1
2 1 1
1 0 1
1 1 2
0 2 1
0 2 2
1 0 2
10 6
3 2 3
0 0 2
3 0 1
0 2 1
2 1 3
0 3 3
1 1 3
3 0 0
2 0 0
1 3 1
10 4
1 0 2
2 0 2
2 0 3
1 2 1
3 1 2
3 0 0
1 0 0
1 2 0
2 1 0
2 3 3
10 5
0 2 0
2 1 1
0 0 2
1 2 0
0 1 1
0 2 1
0 1 2
2 1 0
2 0 1
0 0 0
10 4
0 2 1
1 2 2
2 2 1
2 1 2
1 1 2
0 2 2
0 0 1
0 2 0
0 1 2
2 2 0
10 8
1 1 0
1 0 0
0 2 0
1 2 2
0 1 1
2 2 2
2 0 0
0 0 0
1 1 1
0 1 2
10 3
3 3 2
2 0 1
0 2 3
3 3 0
3 1 0
2 3 1
0 3 2
3 0 2
1 1 2
1 0 2
10 8
1 3 2
2 3 2
0 3 0
2 3 3
3 0 1
3 1 0
2 0 0
3 1 3
3 2 3
3 2 2
10 8
0 0 2
1 0 3
3 0 1
3 1 0
3 2 3
0 1 3
2 2 3
0 3 2
3 0 3
1 1 1
10 7
2 2 1
2 0 2
0 0 0
1 0 2
2 2 0
1 1 2
1 0 0
0 1 2
2 1 0
1 1 1
10 7
2 3 1
1 2 0
3 1 2
2 3 0
3 3 0
0 1 1
3 2 3
2 0 0
2 3 2
3 0 2
10 5
1 1 2
0 0 0
0 2 0
0 0 1
1 0 2
2 2 1
2 1 1
2 1 2
1 0 0
1 2 0
10 4
3 0 1
1 0 1
3 3 0
2 0 0
2 0 2
2 0 1
3 1 2
3 2 1
1 3 1
2 3 2
10 4
1 2 2
0 3 2
3 1 3
0 2 0
0 1 1
0 3 0
2 1 2
3 2 0
1 2 0
2 0 3
10 5
3 1 3
2 3 0
2 3 1
0 3 0
2 0 0
2 1 3
1 1 3
3 0 1
3 1 2
1 0 3
10 3
1 1 1
0 2 2
0 1 1
2 0 1
0 0 1
1 1 2
2 2 0
1 0 2
2 1 1
2 0 0
10 9
0 1 1
1 2 1
0 0 0
1 0 0
2 2 1
0 0 1
2 0 0
2 0 2
1 1 0
0 1 2
10 7
2 1 1
0 1 1
2 1 0
2 0 2
1 1 1
1 2 2
0 1 0
0 0 0
0 2 0
2 1 2
10 6
1 2 2
1 0 0
2 1 0
2 1 1
2 2 0
0 1 2
2 2 1
2 2 2
1 1 2
0 2 2
10 5
0 3 1
0 2 0
2 3 3
1 0 2
0 3 0
2 0 1
3 2 1
3 1 0
2 1 2
2 3 1
10 3
2 3 1
3 3 1
2 1 3
0 1 3
2 3 0
1 3 1
3 0 1
2 2 1
1 3 2
3 2 0
10 2
1 3 0
0 3 2
1 1 2
1 1 1
3 0 2
0 3 1
0 2 3
1 1 0
2 2 3
1 0 2
10 4
0 2 1
0 0 1
1 2 1
0 2 2
1 2 0
2 0 0
2 2 2
2 0 1
2 1 1
1 1 1
10 2
0 3 2
3 0 1
0 2 1
3 2 1
0 0 0
0 1 1
1 2 3
2 0 0
2 1 2
2 1 3
10 6
1 1 2
0 2 1
1 0 2
1 0 0
1 0 1
2 2 1
0 0 0
2 1 2
2 0 0
0 1 0
10 9
1 0 2
0 2 0
2 1 1
0 1 1
0 2 1
0 0 1
1 2 0
1 2 1
2 0 1
2 2 1
10 9
3 2 2
2 1 2
1 3 2
0 0 2
2 2 2
0 2 0
0 3 0
1 0 1
3 3 0
0 3 1
10 8
1 2 0
0 1 0
2 2 1
2 2 0
0 2 1
2 0 2
2 1 2
1 2 2
0 2 2
1 1 1
10 2
1 1 3
2 3 1
3 0 1
2 1 0
1 0 3
0 1 3
1 0 1
0 0 1
1 2 2
2 0 3
10 6
2 0 3
2 0 0
3 3 3
2 0 2
2 1 0
3 3 1
1 0 0
2 1 1
0 0 0
3 0 1
10 2
0 2 1
1 2 1
0 1 1
1 2 0
1 0 0
1 0 1
2 1 1
2 1 0
0 2 0
0 1 2
10 8
3 3 1
1 3 1
3 0 2
3 2 0
2 1 1
1 1 3
0 1 3
0 1 0
3 2 1
2 3 3
10 7
2 1 1
1 2 0
0 2 0
1 0 1
2 2 2
0 0 1
2 0 1
2 1 2
2 1 0
0 0 0
10 7
1 1 2
0 1 1
2 0 0
2 0 1
1 2 0
0 2 2
0 1 0
2 2 2
0 0 2
0 0 0
10 2
3 3 0
3 0 1
0 0 1
0 1 3
2 1 2
1 0 3
3 2 3
0 3 0
1 1 0
1 3 0
10 7
0 1 0
0 0 1
2 1 2
0 0 0
2 1 0
1 0 2
0 1 2
0 2 2
2 2 2
2 2 0
10 5
1 2 1
0 1 2
2 1 1
2 2 2
0 2 2
1 0 1
0 1 0
2 0 0
1 0 2
0 0 2
10 2
0 1 1
1 2 0
0 2 1
2 0 2
2 0 1
0 0 0
1 1 0
0 1 0
2 1 2
2 1 0
10 7
0 2 1
0 0 0
0 1 2
1 0 0
2 0 2
2 1 0
2 0 0
2 2 2
0 0 1
1 0 2
10 3
2 2 2
2 1 1
2 0 2
1 2 1
1 1 2
2 0 0
0 1 1
0 2 1
1 2 0
0 0 0
10 4
2 3 0
2 0 1
2 2 0
2 0 0
2 1 3
0 3 3
0 1 0
3 2 2
2 3 2
2 1 1
10 7
2 2 1
3 0 2
1 0 0
3 3 1
1 3 1
1 0 3
3 2 2
1 0 2
0 3 0
0 2 2
10 5
2 2 0
0 0 2
0 0 0
1 0 0
1 1 0
2 2 1
1 1 2
2 1 1
2 0 2
0 2 0
10 2
2 0 0
1 2 2
0 1 0
1 2 0
2 1 1
2 1 0
1 0 0
2 0 1
1 0 2
2 0 2
10 8
1 0 2
1 2 2
2 2 1
0 0 0
0 2 2
1 1 2
0 2 1
2 1 2
0 1 2
1 2 1
10 5
2 2 2
1 0 0
3 1 1
3 3 3
3 2 3
1 0 2
1 2 2
3 1 3
1 2 0
2 3 1
10 6
1 3 1
0 2 1
1 0 0
1 3 3
3 2 0
3 3 2
1 1 2
3 1 1
1 1 3
2 3 2
10 5
2 2 0
2 1 0
1 1 0
0 1 2
0 0 2
2 0 2
1 0 0
2 0 1
1 0 1
1 2 1
10 6
1 2 0
1 2 1
1 0 1
2 1 0
1 1 1
2 0 2
0 1 2
0 0 1
1 2 2
1 0 2
10 3
0 2 1
2 1 2
0 1 1
2 2 2
1 0 1
2 2 1
1 1 2
0 0 2
1 1 0
0 2 2
10 4
3 3 3
1 0 2
3 2 0
0 3 1
1 2 3
0 2 1
1 3 0
1 3 2
2 0 3
2 2 1
10 2
0 2 0
2 2 2
3 2 1
0 3 0
1 1 0
3 0 3
0 0 1
0 0 0
2 2 3
2 2 1
10 6
0 2 0
0 0 0
1 0 2
2 1 2
1 1 0
1 2 0
2 0 2
0 2 2
2 2 2
1 0 1
10 6
0 3 1
3 2 0
3 2 2
1 3 3
2 2 3
0 0 1
2 0 3
3 1 2
2 0 1
2 1 0
10 6
0 2 0
1 3 1
0 0 2
0 3 0
1 0 1
2 0 0
1 0 3
1 1 2
3 2 3
0 2 2
10 4
1 1 2
1 0 1
0 2 0
0 0 0
2 2 1
1 1 1
2 1 0
1 0 0
1 2 2
0 1 1
10 5
3 3 0
1 0 1
1 2 1
1 2 3
2 2 2
1 3 3
1 1 0
3 3 1
2 3 3
2 0 3
10 4
1 2 1
1 0 1
2 0 1
1 1 0
0 2 2
1 0 0
0 0 2
2 2 2
2 1 1
2 1 2
10 3
1 1 2
1 0 0
1 2 1
0 0 2
2 1 1
0 1 0
0 1 2
0 1 1
2 2 1
1 0 1
10 9
1 1 0
0 2 1
0 1 1
0 2 0
1 0 1
1 2 1
2 0 1
1 1 1
2 0 0
0 0 0
10 7
0 2 0
2 0 0
0 0 1
0 1 0
0 2 1
2 0 1
1 0 2
2 0 2
2 2 0
0 1 1
10 5
2 0 0
2 2 0
0 3 3
1 3 0
1 2 2
3 3 1
0 3 0
1 2 3
3 2 2
2 1 2
10 5
1 2 0
2 2 1
2 0 1
2 0 0
0 1 2
1 2 1
1 0 2
2 1 0
0 2 0
0 1 0
10 2
2 1 0
2 0 0
0 0 1
2 2 1
1 1 1
0 1 2
1 2 2
1 0 0
2 1 1
0 2 2
10 8
2 2 0
0 2 0
1 2 2
2 2 2
1 0 0
0 0 0
1 0 2
0 0 2
1 2 1
2 1 0
10 9
0 0 0
1 1 2
1 0 0
2 0 1
2 2 1
1 0 1
2 1 0
2 2 0
1 0 2
2 1 1
10 7
1 2 0
3 2 0
2 3 1
0 2 2
2 0 3
2 1 3
1 1 1
2 2 1
0 3 1
0 0 1
10 2
1 1 1
1 1 0
1 0 1
2 1 2
2 1 0
2 0 2
0 2 1
2 0 1
0 2 0
1 1 2
10 9
2 1 2
0 0 1
2 0 1
1 0 2
1 2 2
1 2 1
1 2 0
1 1 2
1 0 1
0 1 2
10 7
3 3 2
1 1 2
2 2 1
3 1 1
3 0 3
1 3 1
3 1 0
1 2 3
1 3 2
0 1 2
10 3
1 2 1
2 1 1
1 1 2
0 2 2
0 2 0
1 1 1
0 1 0
2 0 1
2 1 2
0 1 2
10 4
2 2 2
0 0 0
1 2 1
2 2 0
2 1 0
2 1 2
0 1 1
2 0 0
0 2 1
1 0 1
10 3
2 1 1
1 1 0
1 1 2
2 1 0
0 2 0
2 0 0
1 0 0
0 2 1
1 2 2
0 2 2
10 8
3 0 2
0 0 1
1 2 2
2 0 3
1 3 3
1 2 3
2 1 0
0 3 2
0 0 0
1 3 2
10 5
2 1 0
1 2 3
0 0 2
0 0 0
2 2 3
2 3 3
2 3 2
0 1 3
3 2 0
3 2 2
10 2
1 0 2
2 1 1
2 1 0
0 0 0
1 0 1
0 2 1
2 0 0
0 2 2
2 2 1
2 0 2
10 9
1 2 1
0 0 2
0 2 1
1 1 1
2 1 0
0 2 0
2 1 2
2 1 1
0 1 0
1 0 0
10 2
2 1 0
2 2 1
1 1 2
1 1 0
1 2 0
1 2 2
0 0 2
1 0 2
0 1 1
1 0 0
10 5
0 0 1
0 3 0
2 3 2
0 2 1
1 0 1
0 0 2
0 2 2
1 0 2
3 1 3
1 2 0
10 3
1 1 2
1 2 1
0 0 0
0 0 2
2 0 0
0 1 2
1 0 2
2 2 2
0 2 0
2 1 1
10 6
3 2 0
0 1 3
3 3 0
2 3 1
3 0 2
0 1 2
0 3 0
3 0 3
2 2 0
0 0 3
10 5
1 2 2
2 0 2
2 2 0
0 0 2
0 2 1
0 0 1
0 1 0
1 1 0
1 0 2
0 1 1
10 6
2 0 1
0 0 2
2 1 2
0 1 1
1 1 1
0 1 3
3 3 1
0 0 0
1 0 0
3 2 1
10 4
2 2 2
2 0 1
0 2 0
0 1 1
2 2 1
1 2 1
1 2 0
2 2 0
0 1 2
2 1 1
10 7
2 3 0
2 3 3
0 2 2
0 3 0
2 3 2
2 2 3
3 3 3
3 0 2
2 1 0
1 2 0
10 3
0 2 2
2 2 2
1 2 2
2 0 2
0 0 1
1 0 1
2 1 0
2 2 1
2 1 1
2 1 2
10 3
2 2 1
0 2 2
1 2 2
0 0 0
1 1 0
1 2 0
2 0 0
0 1 1
2 2 2
2 1 1
10 5
0 0 1
2 0 2
1 2 1
0 0 0
0 1 2
2 2 0
2 2 1
1 1 2
2 1 2
2 0 1
10 9
2 1 2
3 0 3
3 2 0
2 3 1
1 2 1
3 3 3
0 2 1
1 2 2
3 0 1
3 3 1
10 6
1 1 0
0 2 1
1 2 2
1 2 1
2 2 1
0 1 0
2 0 2
2 1 1
0 0 2
2 1 0
10 4
2 0 0
0 0 2
1 2 1
2 0 2
2 1 2
0 2 2
1 1 0
2 1 1
0 2 1
2 1 0
10 2
0 0 0
3 0 2
3 0 0
3 2 2
3 0 1
3 1 1
3 1 2
1 2 1
1 0 0
2 1 0
10 2
3 2 2
0 2 2
3 2 0
2 1 0
2 2 2
3 1 2
2 1 2
2 3 1
3 2 3
1 1 3
10 9
2 1 0
0 1 2
2 0 2
1 1 0
2 1 2
1 1 2
2 2 2
1 1 1
0 0 2
2 1 1
10 5
2 2 0
1 0 1
1 0 2
1 1 0
2 0 0
2 1 1
1 0 0
2 1 2
0 0 0
2 0 2
10 8
0 1 1
0 2 1
2 0 1
0 0 1
1 0 0
2 2 1
2 1 1
0 1 2
1 0 1
2 2 0
10 3
2 2 1
3 2 3
3 0 2
3 2 2
2 1 2
2 3 1
1 1 3
0 3 2
1 0 1
0 3 0
10 5
1 0 3
2 3 1
3 2 3
0 2 1
0 2 2
1 1 2
0 3 3
1 0 2
1 3 3
0 2 0
10 4
3 3 2
0 1 0
2 3 1
0 0 2
2 0 0
2 3 0
1 1 0
3 3 3
3 0 3
3 2 1
10 6
0 0 0
2 1 2
2 1 0
0 2 0
0 1 0
2 2 1
0 0 2
1 1 2
2 0 0
2 2 0
10 4
2 0 3
2 1 1
3 2 2
2 0 2
3 1 1
0 1 2
2 1 3
0 3 0
0 2 3
1 3 0
10 9
1 1 0
0 1 0
1 2 1
2 1 1
2 0 0
0 2 1
0 1 2
2 1 0
0 2 2
1 1 1
10 6
2 1 0
1 1 2
0 2 2
0 1 2
1 1 0
2 0 2
1 0 0
1 0 2
2 0 1
2 0 0
10 8
2 2 2
2 0 0
1 3 0
1 0 3
2 1 3
0 0 2
0 1 3
1 2 3
0 2 1
0 0 3
10 5
1 1 2
0 2 2
0 0 1
0 2 0
2 2 1
2 2 0
2 1 2
2 0 2
0 2 1
1 2 0
10 7
1 2 0
0 2 1
0 1 0
2 2 2
2 0 0
1 0 0
1 2 1
1 1 0
0 2 0
1 1 1
10 2
1 2 1
1 2 0
1 2 3
0 0 1
3 0 0
3 3 2
0 0 0
2 3 3
0 3 0
0 1 1
10 5
0 3 3
3 0 0
1 0 0
0 0 1
3 1 0
1 3 3
0 3 0
2 3 2
1 3 2
3 1 2
10 3
3 0 3
3 2 3
0 0 2
0 1 0
3 3 0
1 2 1
1 0 0
3 2 2
1 0 2
0 0 0
10 2
2 2 1
1 2 0
0 0 2
0 0 1
0 2 2
1 1 0
0 1 0
0 1 1
2 2 0
1 0 0
10 3
0 2 1
2 2 2
1 1 1
0 1 1
0 0 1
1 0 1
0 1 2
0 0 0
2 1 2
0 0 2
10 9
3 1 3
0 3 3
1 1 2
0 0 2
1 3 0
2 0 0
3 3 2
1 3 3
0 3 2
1 0 0
10 3
2 0 1
0 1 1
0 2 0
1 0 0
2 2 0
2 2 1
1 2 0
1 0 2
0 2 1
2 0 0
10 9
0 2 2
1 1 2
2 2 0
1 0 0
0 1 0
0 0 2
0 0 1
2 1 1
0 1 2
2 1 0
10 7
0 0 0
1 0 2
2 1 2
1 1 0
0 1 1
0 2 1
2 0 1
2 0 2
1 1 1
2 2 1
10 6
0 0 3
0 1 1
2 0 2
0 2 2
3 0 3
2 0 3
2 3 0
1 0 3
2 1 3
3 3 3
10 4
2 3 1
2 3 0
0 2 1
2 1 0
0 1 1
0 0 0
1 1 0
1 0 1
0 3 3
3 3 1
10 4
1 0 1
0 0 2
2 0 0
1 0 2
0 2 0
0 1 1
0 1 2
2 2 0
1 1 0
2 1 1
10 8
3 2 3
0 3 2
3 3 3
0 1 2
1 1 0
3 3 2
2 0 2
3 1 1
2 1 1
0 2 1
10 8
2 1 2
0 2 1
2 0 0
2 2 1
0 1 2
2 2 2
0 0 0
0 2 0
1 1 1
0 2 2
10 8
0 1 2
2 2 0
1 2 2
0 2 2
2 1 1
2 0 0
1 1 1
0 2 0
2 0 2
1 1 2
10 9
1 3 2
3 3 0
1 0 2
2 0 2
3 2 3
0 3 3
1 3 1
3 1 2
2 1 3
1 2 1
10 4
1 1 1
2 0 2
2 0 1
0 0 1
2 2 1
0 1 0
0 2 0
0 1 2
0 2 2
1 2 0
10 8
3 0 2
0 1 3
0 2 0
1 1 1
3 3 2
2 1 1
0 3 0
1 1 3
0 1 1
2 2 2
10 6
1 2 2
3 1 2
3 0 0
2 2 3
0 3 1
1 3 3
1 2 1
2 1 0
0 2 3
1 1 2
10 5
0 1 3
3 0 3
3 2 2
1 0 1
1 2 1
2 3 2
0 2 2
3 2 0
2 1 0
1 3 1
10 7
0 0 3
2 3 0
0 2 1
0 1 3
1 2 2
3 1 1
0 2 0
2 0 2
2 2 0
0 3 0
10 2
0 0 1
1 0 1
1 1 1
0 2 2
1 2 2
2 1 2
2 0 2
0 0 0
1 2 0
1 0 2
10 4
0 2 0
2 2 0
2 0 2
1 0 1
0 0 2
1 2 2
0 2 2
0 1 2
2 1 1
0 1 1
10 7
1 0 3
1 0 0
3 3 1
3 0 3
3 1 2
2 0 2
1 2 2
2 0 0
2 1 3
1 3 1
10 3
3 0 0
3 2 3
1 2 3
1 3 3
2 2 1
2 1 2
1 1 1
1 3 0
3 2 1
3 1 0
10 4
2 3 3
1 1 0
1 2 3
1 3 2
0 0 2
0 0 0
0 3 1
0 1 1
3 1 0
0 3 2
10 8
0 1 2
1 2 2
2 1 2
1 0 1
0 0 2
2 2 1
1 0 2
1 1 0
2 2 0
0 2 0
10 6
0 0 2
0 1 1
1 0 2
1 1 2
2 0 1
2 1 1
1 0 1
2 0 0
0 0 1
1 2 1
10 6
2 0 0
2 1 0
2 2 0
2 0 1
1 0 0
0 1 2
0 0 2
1 2 0
2 0 2
0 0 0
10 7
2 1 3
2 3 3
2 3 0
1 2 3
2 0 1
3 3 3
3 3 1
0 0 2
1 0 3
3 2 3
10 3
1 2 1
2 3 2
2 0 1
0 2 0
3 0 1
1 1 3
2 3 1
3 3 1
3 2 0
2 3 0
10 6
0 1 0
1 2 2
0 0 2
0 1 1
1 0 2
2 1 0
2 2 2
0 2 0
0 0 0
2 0 0
10 6
2 0 1
3 1 0
3 3 0
1 3 0
0 3 2
0 0 3
0 1 2
0 2 0
3 1 2
2 3 0
10 9
1 1 1
1 2 2
1 2 0
0 1 0
0 2 0
1 0 0
0 0 0
0 1 2
1 2 1
2 0 0
10 3
2 0 1
2 0 0
2 2 2
2 2 0
2 0 2
0 2 0
1 2 2
1 1 0
0 0 2
1 0 1
10 7
1 2 1
2 1 3
2 3 0
0 0 2
2 3 1
1 0 1
0 3 2
0 3 1
2 3 3
1 3 1
10 2
1 2 0
2 2 0
2 2 1
0 1 2
1 0 0
2 0 2
0 1 1
1 2 2
1 2 1
2 0 0
10 6
3 0 3
1 0 3
2 1 2
1 3 0
1 2 0
2 1 3
3 1 1
0 3 3
2 0 0
3 2 1
10 5
2 2 2
2 1 2
1 3 1
2 3 0
1 2 3
2 2 1
2 2 0
1 0 3
0 1 1
2 1 3
10 8
1 1 2
2 3 0
3 0 2
2 1 2
0 1 3
3 1 3
0 0 1
3 3 0
1 2 3
3 2 0
10 6
0 3 0
1 2 1
3 0 3
1 1 1
1 0 3
3 2 2
0 1 1
2 0 1
2 2 3
0 2 1
10 2
2 0 0
0 1 0
2 2 2
1 0 1
0 2 0
1 1 2
1 2 2
0 0 0
2 0 1
2 0 2
10 9
0 3 0
0 2 2
1 0 0
3 0 1
2 0 0
2 3 2
1 0 2
3 3 0
3 1 0
3 1 1
10 2
2 0 0
1 0 1
2 2 2
1 2 0
2 2 1
0 2 0
1 1 2
1 0 0
2 0 1
0 2 2
10 8
0 0 3
1 2 0
1 3 3
1 1 2
0 0 1
1 1 3
2 3 3
1 1 1
3 2 1
1 2 3
10 7
2 0 2
1 1 2
1 0 1
0 3 1
3 0 2
1 2 3
1 2 0
3 1 3
2 3 0
0 1 3
10 9
3 1 2
0 1 3
1 3 3
0 2 1
0 3 2
0 0 2
3 3 3
2 3 0
0 2 2
1 1 3
10 8
2 2 2
0 0 0
2 0 2
1 1 0
2 0 0
0 1 0
2 1 2
1 1 2
2 2 0
0 2 2
10 4
0 1 3
1 2 3
2 3 1
1 3 2
2 2 1
2 2 0
2 2 3
1 1 0
2 1 1
1 0 1
10 9
2 1 2
2 2 2
3 2 0
0 2 0
1 0 2
1 2 3
1 0 0
0 3 2
3 0 0
0 1 2
10 3
3 0 2
1 1 3
1 2 2
3 2 0
3 1 3
2 2 1
0 3 1
3 1 2
1 1 1
1 0 0
10 9
0 1 0
3 0 2
2 3 2
3 1 2
1 3 3
2 2 0
2 2 1
0 1 2
2 1 2
2 0 3
10 6
3 3 1
0 2 3
0 1 2
1 0 3
1 1 0
1 1 1
2 1 2
2 1 3
3 3 2
2 2 0
10 8
1 2 0
1 1 0
2 0 3
1 0 2
3 0 2
2 1 1
3 2 0
2 0 0
0 2 2
2 1 0
10 8
0 1 1
1 2 1
1 2 2
0 0 1
0 1 2
1 1 1
2 2 2
0 0 0
2 0 2
2 1 2
10 7
0 1 2
0 3 2
1 1 3
0 0 0
0 2 2
2 0 0
1 1 1
3 3 2
3 0 3
2 3 1
10 2
2 3 0
0 0 1
3 3 2
1 1 3
3 2 2
1 1 1
0 0 3
0 1 2
2 3 3
3 2 1
10 6
0 1 2
2 1 0
2 2 1
1 1 1
2 1 2
0 0 1
1 1 2
2 0 1
0 2 0
2 2 0
10 8
2 0 1
0 1 1
2 2 3
3 1 2
1 0 3
1 3 1
3 2 3
0 0 0
3 3 3
0 1 2
10 7
3 2 3
2 3 3
2 2 3
0 0 3
0 0 1
0 0 0
2 0 0
3 2 1
1 1 1
3 3 0
10 3
1 3 0
1 2 0
2 0 3
2 2 1
2 3 1
2 1 3
3 3 2
2 3 2
0 1 3
2 3 0
10 3
1 0 2
0 0 0
0 2 1
0 0 1
0 0 2
2 2 0
1 1 1
1 1 0
2 1 1
0 1 2
10 3
2 0 2
1 0 1
1 2 1
0 2 1
2 2 1
0 1 0
1 1 1
0 0 0
2 1 1
2 2 2
10 6
2 2 2
0 1 2
2 3 0
1 2 2
3 3 1
3 0 0
1 3 2
0 3 2
3 2 2
1 2 0
10 5
0 0 3
0 2 0
3 3 2
0 2 3
2 3 0
1 0 2
0 3 0
2 0 0
1 3 3
1 3 2
10 8
0 2 2
1 0 1
1 2 2
2 0 2
1 1 0
1 1 2
1 0 0
0 0 2
1 1 1
2 2 2
10 3
0 1 1
1 3 3
3 3 2
2 0 2
1 0 3
1 1 2
2 3 0
2 0 3
1 0 1
3 2 2
10 7
1 1 1
1 1 0
2 1 0
0 0 1
0 1 0
0 0 2
2 0 1
0 1 2
0 0 0
2 0 0
10 9
2 0 2
0 2 0
0 3 0
1 2 3
2 3 0
0 1 2
3 2 0
3 3 3
1 3 2
3 1 2
10 8
1 2 2
0 1 2
0 2 1
2 0 2
2 1 1
2 0 1
0 1 0
0 2 0
2 0 0
1 0 1
10 9
2 2 2
0 2 1
2 2 1
2 2 0
1 1 0
1 1 2
2 1 2
1 2 1
0 2 0
0 1 2
10 5
0 1 2
1 2 1
1 0 0
0 2 0
1 2 2
0 2 1
2 0 1
1 1 2
1 0 2
2 0 0
10 5
3 0 2
0 2 2
0 0 2
3 0 0
1 1 0
3 0 1
2 3 0
1 3 1
3 2 0
2 3 1
10 7
2 3 1
1 2 0
1 0 2
1 1 1
3 0 3
2 0 0
2 3 0
1 0 0
0 2 2
1 3 3
10 5
1 2 2
2 1 2
0 2 0
0 0 1
1 0 0
2 2 0
2 1 1
1 2 1
0 1 1
2 1 0
10 8
2 1 0
1 2 1
2 0 2
2 2 1
0 2 1
2 2 0
0 0 2
1 1 1
0 2 0
0 0 1
10 5
1 2 2
3 3 1
3 0 3
2 1 2
0 1 2
3 3 0
0 1 1
3 1 2
0 3 2
0 0 1
10 6
1 0 2
1 1 1
0 0 1
2 2 0
0 1 0
0 0 2
2 1 0
1 2 2
1 2 0
1 1 2
10 5
1 0 2
1 2 2
0 0 1
2 2 0
1 2 1
1 0 1
1 1 0
2 0 0
2 1 2
0 2 2
10 5
2 1 1
2 3 1
0 3 0
0 1 0
1 1 3
0 0 0
3 2 2
1 0 1
3 1 3
2 2 1
10 6
1 0 2
0 2 1
2 2 2
0 1 0
0 0 1
2 1 2
0 2 0
1 2 2
0 1 1
2 0 2
10 4
1 3 2
1 3 3
0 3 0
3 1 1
2 3 2
2 2 3
2 1 1
0 1 3
3 3 2
0 1 1
10 8
0 2 1
2 0 2
3 2 0
1 1 1
1 3 3
2 3 2
0 0 0
1 3 0
1 1 3
3 2 1
10 8
3 1 0
3 0 1
0 1 2
2 1 2
0 1 0
2 1 1
1 3 2
1 2 1
1 1 2
1 0 0
10 9
0 2 0
1 0 2
2 1 2
2 2 0
0 2 1
2 1 0
2 0 2
0 0 1
1 2 1
0 2 2
10 6
2 0 2
2 1 2
0 0 0
1 0 1
2 1 1
1 1 2
0 1 0
1 2 1
1 1 0
2 2 1
10 5
3 3 2
3 3 0
0 1 0
3 0 0
1 1 0
3 2 2
0 2 0
1 2 2
0 0 0
0 3 3
10 3
0 1 0
1 3 3
1 1 1
3 0 3
1 3 0
1 0 2
3 1 3
1 2 3
2 1 1
2 1 0
10 2
0 3 2
0 1 1
0 3 3
0 1 0
0 1 2
3 0 1
1 3 0
2 2 3
1 0 1
1 3 1
10 9
1 2 2
0 0 2
2 0 0
1 0 2
1 1 2
1 0 0
2 2 1
0 0 0
1 2 1
0 0 1
10 5
1 0 2
2 0 1
0 1 2
1 2 2
2 0 0
1 0 1
2 1 2
2 1 1
0 0 2
0 1 0
10 2
0 2 0
0 1 2
2 2 0
0 2 2
0 1 0
2 2 2
2 1 2
1 1 2
2 0 1
1 2 0
10 7
1 2 3
3 0 0
3 0 3
0 1 0
1 0 3
0 2 1
2 0 0
0 0 3
0 0 1
1 1 0
10 8
1 1 2
0 0 2
0 0 0
0 1 0
2 0 2
1 0 0
1 2 1
0 1 2
0 1 1
2 1 2
10 6
1 2 2
2 2 0
0 2 0
1 2 1
2 1 1
1 1 2
0 1 2
0 2 2
0 2 1
2 0 1
10 7
1 0 0
2 2 2
1 0 2
1 2 1
2 0 1
2 0 0
2 0 2
1 1 2
0 1 1
2 1 1
10 4
1 0 2
1 1 1
1 0 0
2 1 2
0 0 2
0 2 0
1 2 2
2 0 0
0 0 1
0 1 1
10 3
3 3 0
1 2 3
0 0 1
0 0 0
2 2 3
1 1 3
2 2 1
0 1 0
2 0 1
2 3 3
10 2
0 2 1
1 0 3
3 0 0
3 1 2
1 3 1
2 2 2
1 1 3
1 2 3
3 1 3
3 3 1
10 4
1 2 1
1 1 1
1 1 0
1 0 2
2 0 2
1 0 0
2 1 1
0 1 0
1 1 2
0 1 1
10 8
3 2 0
3 2 1
2 3 1
0 2 2
1 3 3
2 2 1
0 2 1
1 2 0
3 0 0
1 1 3
10 3
3 3 3
1 2 0
1 1 0
2 1 3
1 3 1
1 0 3
0 0 2
3 3 0
0 1 1
0 0 1
10 7
2 2 1
1 1 0
0 2 0
0 0 2
0 1 0
1 0 1
1 2 2
1 1 1
1 0 0
2 0 1
10 6
0 1 1
2 0 2
1 0 0
1 2 0
1 2 1
0 0 1
0 0 0
2 0 0
2 1 0
1 1 1
10 6
0 0 2
2 1 0
1 0 2
1 0 0
2 2 0
2 1 1
0 2 2
1 2 1
1 1 2
0 0 1
10 2
2 1 1
1 1 2
1 2 0
0 2 0
1 0 2
0 0 0
1 1 1
0 1 2
1 2 1
0 0 1
10 7
1 2 0
2 2 2
1 0 2
0 2 2
2 0 0
1 2 2
1 1 2
2 0 1
1 2 1
0 0 0
10 7
0 2 1
1 1 2
0 1 1
0 0 1
2 2 0
2 0 0
0 1 0
0 1 2
0 0 0
1 0 2
10 2
1 1 2
0 1 0
2 2 0
2 0 0
2 0 2
0 2 2
2 1 1
2 0 1
0 0 0
1 0 1
10 4
0 2 2
0 2 0
2 0 0
2 1 0
1 0 2
0 1 2
1 2 0
2 2 1
0 2 1
2 1 2
10 6
1 1 0
1 1 3
0 3 3
1 3 1
0 3 2
0 1 2
0 0 2
1 3 3
1 3 2
1 2 1
10 2
2 2 1
0 0 0
2 1 0
2 1 1
1 1 1
1 0 1
2 0 1
1 1 0
1 1 2
1 0 2
10 2
2 2 0
1 2 1
2 1 2
0 1 2
0 0 1
2 0 0
1 0 0
1 0 1
2 2 2
0 2 0
10 5
1 2 1
0 1 3
2 3 0
1 3 2
0 2 3
3 0 1
1 0 0
0 1 2
3 0 3
0 2 2
10 3
0 0 1
1 0 0
1 0 2
1 1 0
0 1 0
2 0 2
2 1 2
0 0 2
0 1 2
2 0 1
10 6
3 3 2
2 2 1
2 2 0
2 3 0
0 1 2
2 0 2
3 0 0
2 2 2
0 2 0
1 3 0
10 8
2 0 2
1 0 0
1 1 2
0 2 2
2 1 1
0 0 0
1 2 2
0 2 0
0 1 0
0 0 1
10 3
2 2 2
1 1 1
0 0 2
1 1 2
1 0 2
0 1 1
1 1 0
2 0 1
2 2 1
2 1 1
10 8
2 2 1
2 0 2
2 1 1
1 1 2
2 0 0
0 2 2
1 0 0
0 1 0
0 1 2
1 2 1
10 3
0 2 0
0 2 2
0 0 0
1 2 0
2 1 1
2 0 1
1 2 2
1 0 0
0 1 0
1 1 0
10 3
1 0 1
0 2 1
2 1 0
0 0 0
2 2 1
2 0 1
0 0 1
1 2 0
2 2 2
2 1 1
10 6
1 0 0
0 0 1
1 1 0
2 2 1
1 2 1
2 0 0
0 2 1
1 2 2
0 1 1
0 1 0
10 8
2 2 1
2 2 2
1 2 2
0 0 1
1 2 0
1 0 1
2 2 0
2 1 1
2 0 0
0 2 1
10 3
1 0 0
1 1 2
2 2 0
1 1 0
1 2 1
0 1 0
1 1 1
0 1 1
2 0 2
0 0 0
10 2
3 3 3
0 1 2
2 0 1
2 0 0
1 0 3
0 1 3
1 2 0
1 2 2
3 2 1
1 2 1
10 9
0 2 0
1 2 2
1 1 0
1 0 0
0 1 1
1 2 0
1 1 2
0 0 1
2 1 2
0 2 2
10 3
1 0 0
3 0 1
2 3 3
2 3 0
2 1 1
0 0 3
0 2 2
2 0 3
0 1 2
2 1 2
10 6
0 0 0
1 0 2
1 1 1
2 1 0
2 1 1
0 2 0
0 2 1
0 0 2
2 2 2
1 1 0
10 2
0 1 1
0 2 2
1 0 0
2 2 1
0 1 0
1 2 0
2 2 2
2 0 2
0 0 0
1 0 2
10 9
2 1 0
2 0 0
0 1 0
1 0 2
2 2 1
1 2 2
0 1 1
2 0 1
1 0 1
1 1 0
10 6
0 1 0
1 3 2
2 1 2
3 3 1
0 2 2
0 1 2
0 3 2
1 2 3
2 2 1
0 2 3
10 8
1 3 3
1 1 1
3 3 2
1 0 2
0 3 2
0 2 3
2 2 0
3 1 2
1 0 3
2 1 0
10 9
0 0 2
3 3 0
3 3 1
0 3 1
0 2 3
0 0 3
2 3 1
2 0 3
3 2 0
1 3 2
10 7
1 0 2
1 2 1
2 0 1
2 1 0
1 1 2
2 2 0
1 0 1
2 2 1
0 2 1
2 1 1
10 6
0 2 1
2 2 3
2 2 1
0 3 2
3 0 0
2 3 1
3 3 0
0 1 0
1 3 1
3 2 1
10 6
0 2 2
3 1 2
3 3 1
2 1 3
3 1 3
3 2 1
1 2 0
1 2 3
0 2 1
0 2 0
10 7
0 0 0
1 1 1
2 1 2
1 2 2
2 0 2
0 1 2
1 0 0
2 2 0
1 1 2
2 0 1
10 6
1 2 0
0 2 3
1 0 3
0 3 1
3 1 3
2 1 1
0 0 2
1 1 1
3 2 1
0 1 3
10 6
0 2 0
1 0 2
0 1 1
2 0 1
0 1 2
1 1 2
1 0 1
0 1 0
1 1 0
2 0 0
10 4
0 1 1
2 1 0
2 2 2
0 1 2
2 1 2
1 0 0
1 2 2
2 0 0
1 0 1
0 2 1
10 2
3 3 2
3 0 0
2 2 2
2 0 0
3 0 2
1 0 2
0 1 1
0 3 2
1 0 0
1 3 0
10 5
0 0 1
2 1 3
1 1 1
2 1 2
0 0 3
3 2 2
0 0 2
2 3 2
0 0 0
3 0 1
10 3
2 3 1
3 0 1
0 2 3
3 1 3
0 3 0
1 1 1
0 2 2
1 1 3
1 3 2
3 0 2
10 9
1 1 3
1 0 3
2 0 0
0 2 2
0 1 3
3 1 0
3 0 3
3 0 0
3 3 2
2 0 1
10 7
2 1 0
0 3 1
2 1 3
0 0 0
3 3 3
3 3 2
0 2 3
3 0 0
1 2 0
3 0 1
10 6
0 0 1
1 2 0
1 0 2
1 1 2
1 2 1
2 1 2
0 0 2
0 1 2
2 0 2
2 2 0
10 8
1 1 1
2 1 0
3 3 0
3 2 1
2 2 1
1 3 0
3 3 2
2 0 0
3 3 1
3 0 0
10 4
0 3 1
2 1 3
1 2 1
0 0 3
3 3 2
3 3 3
3 0 1
2 1 0
2 0 1
2 1 2
10 3
3 0 1
2 3 3
1 0 3
1 2 1
1 1 2
0 3 0
2 0 0
1 3 3
0 0 2
0 2 2
10 4
1 2 2
0 2 1
1 0 2
2 0 0
2 1 1
0 1 2
0 0 0
0 1 0
1 2 1
0 1 1
10 9
2 3 0
3 1 2
1 2 0
1 2 2
0 2 3
2 3 2
0 3 0
0 3 2
3 0 2
2 0 0
10 9
1 0 2
1 2 1
0 0 1
0 1 2
2 1 0
1 1 2
0 2 1
2 1 2
2 2 1
2 1 1
10 3
0 2 1
1 2 1
1 1 2
2 2 1
2 1 1
1 0 0
0 1 1
2 0 0
0 0 0
0 0 2
10 9
1 0 1
1 2 1
0 2 2
2 2 2
1 2 0
2 1 1
2 2 0
0 0 2
2 1 2
2 0 1
10 3
0 3 3
2 2 0
0 1 3
1 1 0
3 1 0
3 1 3
3 2 3
1 1 3
2 2 3
3 3 2
10 4
2 3 0
1 0 3
2 0 1
3 0 0
2 1 2
2 2 1
2 2 2
2 0 2
0 1 0
2 1 0
10 7
1 1 2
2 2 0
1 2 2
2 2 1
1 0 0
1 0 1
0 2 1
2 0 2
1 0 2
0 1 0
10 7
3 1 2
3 3 0
3 1 3
1 0 1
1 2 1
2 3 1
0 0 3
3 0 1
1 2 0
2 0 0
10 9
2 1 2
2 0 0
2 0 1
2 2 1
2 0 2
2 2 0
0 1 3
3 3 1
1 3 3
0 3 3
10 5
0 1 2
0 0 1
1 0 1
0 1 0
1 0 2
2 2 2
0 2 2
1 0 0
0 0 2
1 1 2
10 5
2 2 1
3 1 1
2 2 2
0 3 2
2 1 3
3 0 3
2 3 2
2 1 1
2 0 1
3 1 0
10 9
3 3 3
2 1 2
2 2 1
1 0 1
1 0 0
3 1 1
1 3 1
1 2 3
2 2 2
1 0 3
10 6
2 0 2
3 2 3
2 2 3
0 3 0
0 1 0
0 3 1
0 0 3
0 3 2
3 3 1
0 2 0
10 9
1 2 0
2 1 0
0 0 2
1 2 2
0 2 0
1 1 0
0 0 0
1 2 1
1 0 2
0 1 0
10 2
2 2 0
2 0 2
0 1 0
1 0 2
1 1 0
2 0 1
0 0 2
1 2 1
2 1 0
2 1 2
10 9
0 2 0
3 3 1
0 2 3
0 0 3
1 2 2
1 3 1
3 1 0
1 2 3
0 2 1
2 2 3
10 4
0 0 3
3 0 0
1 0 0
3 1 3
0 2 1
3 3 0
2 0 0
3 0 3
0 0 0
0 3 1
10 5
2 0 0
1 3 2
0 2 3
2 2 3
0 2 2
1 0 0
3 1 2
1 1 0
2 1 0
2 1 2
10 8
1 0 1
0 1 0
3 0 2
0 2 3
3 1 0
3 0 0
1 2 2
2 1 3
3 1 2
0 2 0
10 6
3 1 0
0 3 1
2 0 3
1 3 3
1 0 3
2 1 3
3 3 1
1 2 0
2 3 2
0 1 1
10 4
3 3 2
1 0 0
0 3 0
3 3 3
0 0 2
0 1 1
3 0 0
0 3 3
0 2 0
2 0 0
10 6
3 0 0
2 2 1
0 3 1
0 3 0
0 0 0
1 0 2
3 3 3
2 1 3
3 1 2
3 0 1
10 2
2 1 0
3 0 2
3 2 0
1 3 3
3 2 3
0 1 3
3 1 0
3 3 2
2 1 1
1 3 0
10 6
1 0 1
0 2 2
0 0 0
2 1 0
1 1 1
0 1 2
2 2 0
2 0 2
1 1 0
2 1 2
10 5
1 2 2
0 0 2
2 0 1
2 0 0
0 2 0
2 2 0
0 2 1
2 1 0
0 0 0
1 1 2
10 4
2 1 2
0 2 2
0 1 0
0 2 0
1 0 2
0 0 1
0 0 2
2 2 2
2 1 0
1 1 2
10 7
0 1 1
0 2 0
1 0 0
2 1 1
0 2 2
1 2 1
2 0 2
1 0 2
0 2 1
1 1 2
10 9
2 0 2
1 0 0
0 0 2
2 3 3
3 2 3
2 0 3
3 2 1
2 3 2
2 3 0
3 0 0
10 2
1 1 2
0 0 1
1 2 0
2 1 0
1 0 2
0 1 2
0 0 2
2 2 2
0 2 0
2 2 1
10 6
3 3 3
2 3 2
2 3 1
0 0 3
3 3 2
0 1 0
0 1 2
0 0 0
3 0 0
2 0 1
10 5
2 0 3
2 1 3
1 0 3
1 1 3
2 3 1
0 3 2
1 2 3
2 3 3
3 1 0
3 3 0
10 9
1 2 2
1 1 1
0 1 1
1 1 2
1 0 1
2 0 2
0 0 2
1 2 1
2 1 2
0 1 0
10 7
0 1 1
0 2 0
2 2 0
2 0 1
0 2 2
0 1 2
2 0 2
2 2 1
2 2 2
0 0 0
10 6
1 1 1
2 1 1
2 0 2
0 2 1
0 1 1
2 1 2
2 0 0
2 2 0
1 2 1
1 0 2
10 5
0 2 0
2 2 0
0 1 0
1 2 2
1 0 2
0 2 2
1 0 1
2 2 1
1 1 1
1 0 0
10 8
1 2 0
1 2 1
0 2 2
1 0 0
0 0 2
1 0 1
2 2 0
0 2 0
2 0 1
1 1 0
10 9
3 2 1
0 3 3
2 1 0
1 3 0
0 2 2
3 2 2
3 1 1
3 1 2
0 0 1
1 2 0
10 2
2 0 0
1 1 1
0 0 2
0 2 2
1 2 1
1 0 1
1 1 0
0 2 1
0 0 1
1 0 0
10 2
0 0 2
2 0 2
0 0 1
2 1 0
1 2 2
0 0 3
1 1 2
1 0 0
2 2 0
3 3 2
10 5
0 0 2
0 1 1
2 1 2
0 1 2
1 1 2
1 3 3
1 0 1
3 3 2
2 1 3
3 1 3
10 7
2 1 0
1 0 0
0 2 2
1 2 1
2 0 2
2 1 1
1 1 1
2 2 2
2 0 1
0 0 2
10 4
2 2 0
1 0 2
1 2 2
1 1 1
1 2 0
0 1 0
0 2 1
0 1 2
1 1 2
1 1 0
10 3
2 0 2
1 0 1
2 1 2
2 2 2
1 2 1
0 0 2
2 2 0
1 1 0
0 0 0
0 2 1
10 7
3 1 1
2 0 0
2 2 3
0 1 1
1 3 2
0 3 1
0 0 3
3 0 2
2 3 2
2 1 0
10 2
0 2 0
2 2 0
2 0 1
1 0 2
2 0 2
2 0 0
0 0 0
0 2 1
1 2 0
0 2 2
10 2
0 0 2
0 1 1
0 0 0
0 0 1
2 1 0
1 0 1
1 0 2
0 2 2
2 2 1
2 0 1
10 7
0 0 2
0 0 1
0 2 0
1 2 0
0 2 1
2 1 2
1 0 0
0 1 2
2 2 2
1 1 1
10 4
1 1 2
2 0 0
2 1 2
2 0 2
1 2 0
0 1 1
2 2 1
2 1 1
0 0 2
0 2 0
10 2
2 2 1
0 1 1
0 0 1
2 1 1
2 2 0
1 2 2
2 2 2
0 0 0
1 2 1
1 2 0
10 9
3 1 0
0 2 0
3 3 0
0 3 2
0 2 3
3 3 3
3 0 1
2 1 2
3 0 3
2 3 3
10 9
2 0 2
0 3 1
1 1 3
1 1 0
0 0 0
1 3 3
2 1 3
3 3 2
3 0 3
0 2 2
10 8
2 3 3
0 2 1
3 2 2
1 0 3
1 1 1
0 2 3
2 2 2
0 3 2
1 0 1
0 1 3
10 3
2 2 2
1 2 0
0 0 0
2 1 2
2 1 0
0 1 1
1 1 2
0 0 1
1 0 0
1 2 2
10 5
0 0 2
2 1 1
1 0 1
0 1 1
0 0 0
2 2 2
2 2 0
0 2 1
2 0 0
2 2 1
10 4
1 1 0
2 3 0
0 3 1
0 1 1
3 2 1
0 2 3
2 0 3
3 2 2
1 0 0
2 1 1
10 6
0 0 1
0 1 2
1 2 0
0 2 0
2 1 1
2 0 1
1 2 1
1 1 1
2 2 2
1 2 2
10 2
1 1 1
2 1 2
0 0 0
0 1 0
1 0 2
2 1 1
2 2 1
2 0 0
2 2 0
1 1 2
10 3
0 0 1
2 2 0
3 3 3
3 1 2
1 0 1
2 1 0
1 1 3
1 0 2
1 3 1
2 2 3
10 6
2 0 1
0 2 2
0 1 1
2 1 1
0 2 0
2 1 2
1 2 2
2 0 0
2 2 2
0 2 1
10 3
0 1 0
0 2 0
3 2 0
2 3 3
3 1 0
0 2 1
3 0 3
0 3 0
1 1 2
3 1 2
10 9
2 1 1
2 0 2
1 1 0
2 1 0
2 2 1
1 0 2
2 2 0
2 0 1
0 1 0
0 2 2
10 9
2 1 0
0 1 3
3 3 0
2 2 1
1 1 2
1 0 2
3 3 2
1 3 1
2 1 2
0 1 1
10 8
3 1 2
3 0 1
3 3 3
2 2 1
2 3 2
3 2 2
3 2 0
1 2 0
0 3 0
1 1 2
10 9
3 2 2
1 2 2
0 2 2
3 1 3
1 1 1
0 1 1
1 1 0
0 3 0
0 1 2
1 3 1
10 9
1 1 1
1 3 3
0 3 3
2 2 1
3 0 0
1 3 1
1 3 0
2 3 1
0 2 0
2 0 2
10 9
1 2 0
2 2 3
2 1 2
0 2 0
3 0 0
3 0 3
2 3 3
1 3 0
0 1 3
0 3 2
10 8
1 1 0
1 2 2
2 2 2
2 0 1
1 2 1
2 0 0
2 1 0
2 0 2
0 0 0
1 0 1
10 2
3 2 0
0 0 2
0 2 0
1 2 2
2 1 3
2 1 0
3 2 3
3 1 0
0 2 3
3 0 3
10 9
0 2 0
2 1 1
2 2 2
1 2 0
0 2 1
0 0 1
2 0 2
1 2 1
2 2 1
1 0 2
10 3
0 2 0
0 0 2
1 0 2
0 1 2
2 2 2
1 1 2
1 2 2
1 0 0
0 0 1
2 0 2
10 4
0 2 1
1 2 1
3 2 2
1 3 2
1 1 1
3 0 3
1 2 0
1 0 2
1 3 1
0 0 0
10 5
0 0 1
0 0 2
3 0 3
2 1 2
3 1 3
0 2 2
0 3 2
2 2 0
0 0 0
1 3 2
10 7
0 2 1
2 1 2
1 0 2
0 2 2
0 0 1
0 2 0
1 1 2
2 0 2
2 0 0
2 0 1
10 4
1 1 1
1 0 0
2 0 0
0 1 2
0 1 1
1 1 0
2 2 2
1 2 1
0 1 0
1 2 2
10 6
0 1 1
1 0 1
0 1 0
2 2 2
1 0 0
0 2 2
0 0 0
0 0 2
2 2 1
1 1 2
10 9
1 2 3
2 3 3
3 3 1
0 2 2
1 0 1
0 3 1
0 3 2
0 0 1
1 1 0
0 2 1
10 2
0 2 0
1 2 0
0 1 2
1 2 1
1 0 0
0 0 1
2 1 2
0 0 2
1 1 0
2 2 1
10 3
2 2 3
0 1 3
3 0 0
0 1 1
3 0 3
1 3 0
3 1 1
3 3 0
1 0 1
0 0 0
10 3
1 1 0
0 3 2
2 1 0
2 2 1
0 3 3
2 0 0
3 1 1
0 0 0
1 0 1
0 2 2
10 9
2 0 0
0 1 1
2 2 0
0 2 0
1 1 2
1 2 0
2 2 1
0 0 2
1 2 1
1 2 2
10 9
2 0 0
1 0 1
0 1 2
1 1 2
0 0 2
1 1 1
1 1 0
0 2 0
2 2 1
0 1 0
10 5
2 1 0
2 0 0
3 3 0
3 0 2
3 2 2
0 0 2
3 1 2
0 0 3
2 2 1
1 1 0
10 9
0 0 1
2 0 1
2 2 2
1 1 0
2 2 0
0 2 0
0 0 2
0 2 2
1 0 1
0 1 0
10 2
3 1 2
2 3 0
1 2 0
2 1 2
0 0 3
1 0 3
0 3 3
0 2 2
3 2 2
3 2 1
10 7
0 0 1
0 2 1
2 1 0
0 1 0
2 2 1
0 2 0
1 1 2
1 0 1
0 0 0
1 2 2
10 8
2 0 0
0 1 1
1 0 3
0 3 2
2 2 0
2 3 0
3 2 0
1 2 1
0 3 0
3 2 3
10 2
1 3 1
2 2 1
3 0 1
0 3 2
3 3 1
2 1 1
0 1 3
2 1 3
3 1 2
1 0 0
10 6
1 3 0
0 2 3
3 2 0
3 2 1
0 1 3
1 1 3
3 2 2
1 2 0
2 2 1
2 2 3
10 8
0 0 1
2 2 2
1 0 1
0 2 1
2 2 1
1 1 0
2 0 2
0 0 2
0 0 0
0 1 1
10 5
3 3 3
3 2 0
3 1 1
1 1 1
2 1 3
0 0 2
0 2 2
3 2 1
0 0 1
3 1 0
10 4
1 3 3
0 3 0
1 1 0
2 1 2
2 1 3
2 2 3
1 1 2
0 0 0
1 3 1
1 0 0
10 8
0 2 0
1 0 0
1 2 2
0 1 1
1 0 2
1 1 2
1 2 1
0 2 1
1 1 1
2 1 0
10 6
0 1 0
1 2 0
0 0 2
0 2 1
2 1 0
1 2 1
0 1 1
2 1 1
1 0 2
1 1 1
10 7
1 2 1
0 0 1
1 0 2
0 2 1
2 1 2
2 1 1
1 1 2
1 0 0
1 2 2
2 0 0
10 6
2 2 0
2 0 1
1 2 2
1 0 1
1 2 0
0 1 1
0 0 2
0 2 0
2 1 1
0 1 0
10 6
1 0 1
1 0 0
0 1 1
2 2 0
1 2 2
2 2 2
0 1 0
2 1 0
0 2 2
1 1 0
10 4
1 2 2
2 0 1
1 1 0
1 0 1
2 2 1
0 2 1
1 0 2
1 2 0
2 1 2
0 2 2
10 6
2 0 2
1 1 1
1 0 0
2 1 0
0 2 0
2 2 2
1 0 2
2 0 1
2 1 2
1 0 1
10 4
1 2 2
0 1 2
1 0 0
0 1 0
0 0 2
1 0 1
1 1 1
2 2 1
0 2 2
2 2 2
10 2
3 3 2
0 2 0
3 2 2
1 3 3
1 0 0
3 0 3
1 2 0
2 1 3
2 3 2
1 1 0
10 7
1 2 1
3 2 3
2 0 1
2 3 2
2 1 2
2 2 0
1 1 2
3 3 0
0 3 2
3 0 0
10 6
0 1 0
2 1 1
2 2 0
1 0 2
0 1 1
2 2 2
1 0 1
1 1 0
2 1 0
0 0 0
10 5
0 1 2
0 2 0
0 0 2
1 1 1
1 2 2
0 0 3
3 0 3
2 3 0
1 0 1
0 2 1
10 4
1 3 3
2 2 3
1 2 0
3 1 2
0 0 1
0 1 1
1 0 1
3 1 1
2 3 1
3 1 3
10 7
1 2 0
0 2 1
1 2 2
0 0 0
2 0 0
1 0 0
0 1 2
0 1 1
0 2 0
1 1 0
10 8
1 3 1
3 1 1
0 1 2
2 2 1
1 2 0
2 2 2
0 2 3
3 1 2
0 0 2
1 0 1
10 8
0 0 1
2 3 0
1 3 3
0 0 0
0 0 3
3 3 0
1 0 1
1 2 2
3 0 2
0 0 2
10 3
0 0 0
2 2 0
1 2 0
0 2 2
2 2 1
1 1 0
1 1 2
1 2 2
0 1 0
0 1 1
10 2
2 2 0
2 0 0
3 1 1
3 3 3
2 2 2
3 0 3
0 1 1
2 0 3
1 2 3
0 3 2
10 7
3 0 3
1 3 1
0 2 1
3 1 2
3 3 3
3 1 3
2 0 0
3 3 2
1 2 0
1 1 2
10 2
1 0 0
1 2 0
1 2 1
1 1 2
0 2 0
0 0 2
1 2 2
2 0 1
1 1 1
2 1 1
10 8
0 0 2
1 0 1
1 2 1
2 2 1
2 0 0
1 0 2
2 1 2
2 2 2
1 2 2
0 0 1
10 9
0 1 0
2 2 1
0 2 2
1 0 1
1 1 2
2 1 0
2 2 2
1 0 2
1 2 2
0 0 2
10 9
0 0 2
1 0 1
0 2 0
1 1 2
2 1 1
2 1 2
2 0 0
1 0 0
2 1 0
0 0 0
10 6
1 1 1
2 1 0
0 0 1
1 0 0
1 0 2
2 1 1
2 2 1
0 0 2
1 2 0
2 2 0
10 3
2 2 0
3 1 2
3 1 1
1 1 3
0 2 2
2 2 1
0 3 2
2 3 0
1 2 2
2 0 0
10 6
2 1 1
3 0 3
3 2 2
2 0 3
1 0 1
1 3 2
0 3 2
1 0 3
3 0 1
1 1 3
10 3
2 2 2
0 2 1
2 1 1
1 1 0
1 2 0
2 1 2
1 2 2
2 0 1
0 0 1
0 1 1
10 9
2 1 1
1 0 2
1 2 1
2 0 1
2 2 2
2 0 0
1 0 1
2 1 0
0 0 0
0 2 2
10 4
1 2 0
2 1 0
0 0 1
2 2 2
1 0 0
1 0 1
2 0 1
2 0 0
2 2 0
2 0 2
10 2
3 1 3
0 3 1
2 0 2
0 1 0
2 1 0
0 1 3
1 3 1
0 3 3
2 2 0
0 2 3
10 8
0 1 2
2 1 0
0 0 0
1 1 2
2 2 0
0 2 1
0 1 1
2 1 1
2 0 0
0 0 2
10 4
0 2 1
0 0 0
0 1 1
0 1 0
1 2 0
0 0 1
2 2 2
1 0 0
1 0 1
2 0 0
10 7
1 2 1
2 0 1
2 1 0
1 0 1
0 1 1
2 2 0
0 0 1
0 2 1
1 2 2
1 0 0
10 6
2 0 2
2 1 1
0 1 2
2 3 0
1 1 3
3 3 1
3 2 0
0 1 1
0 2 0
3 0 2
10 5
0 2 3
1 0 0
1 2 3
0 3 3
1 2 2
2 2 0
2 0 3
0 3 0
0 3 2
3 2 1
10 8
1 2 1
1 1 1
0 2 0
0 0 1
1 1 0
1 0 0
2 2 2
2 0 1
0 2 1
0 0 2
10 8
0 1 0
2 1 0
1 0 0
0 2 1
2 0 0
1 2 0
0 2 0
1 1 0
0 0 2
1 2 1
10 2
0 1 0
1 0 0
3 2 2
2 3 0
3 3 1
0 2 0
0 3 2
1 2 0
2 2 2
2 3 2
10 4
0 2 3
2 0 3
0 3 2
2 2 1
3 2 3
1 3 0
1 1 2
3 0 3
2 0 2
2 3 0
10 8
1 3 2
0 3 2
2 1 2
1 3 1
1 1 3
1 0 1
1 2 0
3 0 3
0 3 1
0 0 0
10 7
0 1 1
1 2 2
1 1 1
1 1 2
0 2 1
0 2 2
1 0 1
0 0 1
1 2 1
2 1 2
10 8
2 2 1
1 0 2
1 1 0
1 2 0
2 2 0
0 2 2
0 2 1
1 0 0
0 1 0
0 2 0
10 8
3 1 0
1 0 2
3 1 2
0 0 0
3 0 1
2 1 1
3 2 3
2 0 2
0 2 1
3 0 2
10 5
0 3 1
1 0 0
3 3 0
2 3 2
1 0 2
3 1 3
1 3 1
1 2 2
0 0 2
1 3 3
10 9
0 2 0
2 0 3
2 2 1
1 2 0
0 1 2
2 3 0
2 3 3
0 0 0
3 0 2
3 3 2
10 5
2 3 0
3 2 0
1 3 2
2 1 1
1 0 3
0 3 0
0 2 3
0 3 2
1 1 2
1 3 1
10 9
3 1 3
3 3 1
1 0 0
0 3 0
1 3 3
0 0 1
2 2 0
1 2 3
2 0 2
0 2 3
10 9
2 0 0
0 0 1
0 0 2
1 2 2
2 1 1
2 2 2
1 0 0
2 0 2
1 1 1
2 0 1
10 8
2 1 0
0 2 0
1 1 0
0 2 2
0 2 1
1 1 2
2 0 2
1 2 1
2 2 1
1 0 0
10 6
3 2 3
1 1 2
2 3 3
1 2 1
3 0 0
1 3 0
1 0 0
0 2 3
3 1 3
3 0 2
10 5
0 1 2
1 1 0
1 2 1
2 0 1
2 1 2
2 2 0
1 0 0
0 0 0
2 1 0
2 2 1
10 2
0 3 3
0 2 2
0 3 1
2 0 2
2 2 3
3 2 0
0 2 1
2 0 1
3 1 0
3 3 0
10 6
0 1 0
1 0 1
1 2 0
0 0 0
0 0 2
2 2 1
1 1 2
1 0 0
1 2 2
2 2 2
10 4
0 2 2
2 0 0
1 1 1
2 1 0
3 0 1
2 1 1
3 2 0
0 1 3
0 3 3
3 1 0
10 9
0 1 1
1 3 2
0 3 3
1 1 3
2 2 3
3 3 1
3 0 1
1 0 1
0 0 0
1 2 3
10 6
3 1 2
2 0 3
3 1 3
2 2 1
1 1 3
0 1 2
3 0 3
0 2 0
3 2 0
2 3 2
10 6
3 1 3
0 2 0
3 0 1
1 3 0
2 3 3
1 1 3
3 2 2
0 0 2
1 3 1
1 3 3
10 8
0 2 0
2 0 1
0 1 0
0 0 2
2 2 2
2 2 0
0 2 1
1 1 2
1 1 0
2 2 1
10 2
2 1 0
2 0 1
2 0 2
3 2 3
3 1 3
3 2 0
0 1 1
1 3 2
1 2 0
1 3 3
10 2
0 0 2
0 1 0
0 2 2
0 0 0
2 0 2
0 1 1
2 2 0
1 2 1
2 0 1
0 0 1
10 2
3 3 2
2 2 3
3 2 3
2 3 2
1 1 1
1 3 3
3 2 1
2 1 3
3 0 3
1 1 2
10 2
1 1 1
2 1 0
1 0 1
2 0 1
0 2 1
1 0 0
2 2 1
0 1 2
1 1 0
2 0 2
10 2
0 0 0
1 1 1
0 0 1
1 2 2
2 0 1
0 2 2
1 0 2
1 0 1
1 2 1
0 1 2
10 7
0 0 1
2 2 1
2 1 2
2 1 1
2 0 2
0 2 2
2 1 0
1 0 1
2 2 2
2 0 1
10 9
0 0 0
1 2 1
2 0 1
0 0 2
0 2 1
0 2 0
2 1 0
2 0 0
2 2 2
1 1 2
10 6
2 0 0
1 1 1
2 2 0
0 2 1
0 1 2
1 2 2
0 2 0
1 0 2
1 0 1
2 1 2
10 8
0 0 1
2 1 0
1 0 2
2 0 0
1 2 2
1 0 1
2 1 1
1 2 1
1 1 0
0 2 0
10 4
3 3 1
2 0 3
0 3 1
0 3 2
0 3 3
3 3 2
1 2 3
2 2 0
1 2 1
0 3 0
10 6
1 0 2
2 1 2
1 0 1
0 0 0
1 1 2
0 1 2
0 1 0
1 2 2
1 2 1
2 1 0
10 4
2 0 0
2 1 0
0 2 0
0 2 2
0 0 0
0 0 1
0 1 1
2 0 2
1 0 1
1 2 2
10 8
3 3 2
2 3 1
2 3 2
3 1 0
2 1 2
2 0 3
3 0 1
1 1 3
0 0 0
2 1 1
10 2
2 2 2
0 2 2
1 2 0
2 1 2
2 2 0
2 0 1
2 0 0
1 2 2
0 1 1
0 1 2
10 9
1 3 2
2 1 2
1 2 3
3 3 1
1 0 0
2 2 1
0 3 3
2 3 2
3 1 1
1 3 0
10 9
1 2 1
0 1 1
1 1 1
2 0 1
1 1 2
0 0 2
0 0 1
1 2 0
2 1 2
0 2 0
10 5
2 1 0
2 2 3
0 2 2
1 3 2
2 0 0
3 0 0
1 1 2
0 1 1
1 3 3
3 1 1
10 2
2 1 3
3 3 3
3 1 0
3 3 0
0 2 2
0 1 1
2 1 2
3 3 1
1 1 1
3 0 3
10 5
2 1 2
0 2 1
0 2 0
1 2 2
1 1 1
0 0 1
2 0 0
0 0 0
2 2 0
1 1 0
10 3
2 1 3
3 3 0
0 2 1
0 3 2
1 2 3
2 3 2
2 0 1
2 2 3
0 0 1
0 3 0
10 3
3 3 1
0 1 3
2 0 0
3 2 3
2 3 1
3 1 3
1 2 3
1 0 0
0 1 2
2 1 2
10 8
1 3 3
2 0 1
3 2 2
0 2 0
2 3 0
2 0 0
1 1 0
2 3 2
0 1 1
0 1 0
10 3
3 1 3
0 2 0
2 0 1
2 0 2
0 1 3
0 0 0
3 2 3
3 3 1
1 1 2
3 2 1
10 2
2 2 0
2 0 0
2 2 2
1 2 2
2 1 2
1 0 2
2 0 2
1 2 0
1 0 0
2 2 1
10 4
0 0 2
2 0 1
0 2 2
0 3 1
3 2 1
1 3 1
3 3 0
2 1 2
3 0 1
0 1 3
10 8
0 2 1
2 0 0
2 3 1
0 0 1
1 1 3
3 1 0
0 0 2
1 0 2
3 3 3
2 1 1
10 4
0 0 2
0 2 0
2 0 0
1 0 2
2 1 2
2 2 2
2 2 1
2 2 0
1 2 2
0 0 1
10 7
2 2 2
0 1 0
0 0 0
1 2 0
1 0 2
1 0 0
2 2 0
0 1 2
1 0 1
0 2 0
10 4
1 2 1
2 1 0
3 0 1
1 0 3
0 2 0
2 0 2
3 2 1
2 2 3
2 3 3
0 3 2
10 2
1 0 1
1 2 1
1 1 2
0 0 2
1 2 2
1 0 0
2 0 2
2 2 0
2 2 2
1 2 0
10 2
3 3 0
0 0 1
1 3 2
2 0 3
1 0 1
3 3 2
3 0 0
3 3 1
3 0 1
2 0 2
10 3
2 2 2
0 3 1
3 3 0
2 0 3
1 1 1
0 2 1
0 1 3
1 2 1
0 0 0
1 0 3
10 3
2 3 3
2 0 3
1 0 0
1 0 3
2 0 1
0 3 3
0 2 3
0 1 2
0 1 3
2 2 3
10 9
1 1 0
1 0 2
0 2 1
1 2 2
2 0 0
0 1 2
1 0 0
1 0 1
1 2 0
2 2 0
10 8
2 3 3
2 0 1
1 2 3
2 1 3
3 2 0
2 2 0
1 0 0
0 0 2
1 1 2
3 1 1
10 3
0 2 1
0 3 1
2 0 0
3 0 1
2 3 0
1 1 3
3 0 2
1 3 0
3 3 0
0 2 0
10 5
2 2 0
0 0 2
1 1 1
2 1 1
1 0 0
2 0 0
2 2 2
1 0 2
2 2 1
0 1 1
10 6
0 0 0
1 1 2
0 1 0
0 1 2
1 1 1
2 1 0
0 0 2
0 1 1
1 2 0
2 1 1
10 3
2 2 2
0 2 0
2 0 0
1 0 0
1 1 2
1 2 2
0 1 1
2 2 0
0 2 2
1 1 0
10 8
1 0 2
2 2 3
1 3 2
1 1 0
0 3 2
3 3 3
2 0 2
1 2 2
1 1 1
3 3 0
10 2
0 2 2
0 1 1
2 2 0
3 1 0
3 3 0
0 3 0
2 2 2
3 1 2
2 3 3
2 0 0
10 3
0 0 1
1 0 0
2 1 2
2 2 2
0 0 2
0 2 0
2 0 0
2 0 2
2 2 0
1 1 1
10 2
0 2 2
2 2 0
2 0 1
2 1 2
1 0 0
0 1 1
0 2 1
0 1 0
0 0 2
1 1 2
10 6
1 2 3
0 0 1
0 0 3
1 2 2
1 0 3
2 0 2
2 2 1
2 3 3
0 3 1
2 2 0
10 7
0 2 1
1 2 0
1 2 1
2 2 2
2 0 0
2 1 0
1 1 1
2 1 1
0 1 0
2 0 1
10 3
0 1 1
0 1 0
1 0 1
0 0 0
0 1 2
1 2 1
1 1 1
1 0 2
2 2 1
2 0 1
10 9
1 2 3
1 2 0
0 2 0
0 1 1
3 3 0
3 2 1
0 3 2
1 3 2
2 0 3
0 1 2
10 3
0 1 1
3 2 3
2 2 1
0 0 2
2 0 2
2 3 0
0 0 1
3 0 0
3 0 1
1 2 1
10 5
2 1 2
1 2 1
2 0 0
2 2 2
0 2 0
0 1 1
0 2 1
1 1 1
2 1 1
1 0 1
10 3
1 0 1
1 1 0
2 0 2
1 0 2
1 0 0
2 1 1
0 1 2
0 1 1
1 2 2
1 2 1
10 9
3 1 0
2 1 2
1 2 1
3 1 1
0 1 3
2 1 1
2 3 3
2 0 2
1 3 1
3 2 3
10 4
0 1 0
1 1 0
2 2 0
2 2 2
2 0 1
2 0 2
2 1 0
0 1 1
0 0 2
1 2 1
10 4
1 3 2
2 2 3
3 1 3
2 0 3
3 0 1
2 2 0
2 1 2
1 1 3
3 1 0
3 2 3
10 5
1 2 1
1 1 2
2 1 1
0 1 1
2 2 1
0 0 2
2 2 2
0 1 0
2 0 0
0 2 0
10 9
0 1 0
1 2 0
1 1 1
1 0 0
1 2 2
1 0 2
0 2 0
0 0 0
2 2 2
2 0 2
10 7
2 2 0
0 0 0
3 0 1
3 2 0
3 1 0
2 0 2
1 0 3
1 1 1
3 1 1
1 0 2
10 9
2 0 0
1 1 1
3 1 2
3 3 2
0 0 2
0 0 3
1 3 3
3 0 1
3 2 0
0 0 0
10 8
3 2 1
0 2 3
2 1 1
2 2 3
2 3 1
3 2 3
3 1 0
0 2 2
2 3 3
3 3 0
10 7
1 2 2
0 0 2
1 0 0
1 0 2
2 2 2
0 1 0
2 2 1
1 2 1
2 2 0
0 2 1
10 7
2 2 0
0 1 3
1 0 0
0 3 1
1 2 0
3 1 1
0 0 1
3 3 2
0 3 2
2 3 0
10 8
0 0 2
3 1 3
0 1 1
2 2 0
3 1 0
0 1 2
1 2 2
1 3 2
0 2 1
2 0 1
10 7
2 0 1
0 2 0
2 1 2
1 3 3
0 0 1
0 1 2
3 0 3
1 3 2
2 1 1
2 1 3
10 5
3 0 1
3 2 1
3 3 2
1 1 1
2 2 3
2 1 0
0 1 1
3 2 2
1 0 0
1 0 1
10 7
2 1 1
2 1 2
2 2 2
2 2 0
0 0 2
0 1 0
2 0 2
0 1 1
0 0 1
2 0 0
10 2
1 3 3
1 1 0
1 1 3
3 3 3
2 0 2
3 2 2
3 1 1
2 2 3
2 2 0
0 2 3
10 9
2 1 0
2 1 2
0 0 2
1 1 2
2 1 1
0 2 2
0 2 1
1 0 1
0 1 0
2 2 0
10 8
2 0 0
2 1 1
0 1 0
1 0 2
2 0 1
0 1 1
0 0 2
1 1 1
0 2 0
1 2 1
10 7
1 0 1
2 2 0
0 1 2
1 0 0
2 0 1
2 1 1
2 1 2
2 0 2
1 2 0
0 1 1
10 2
1 1 1
0 2 2
3 3 1
2 1 0
3 1 1
3 1 3
0 1 3
2 2 1
3 3 0
0 1 1
10 3
1 2 1
0 0 1
1 1 0
1 0 0
1 2 2
0 0 2
2 1 2
1 1 2
0 1 0
2 0 1
10 3
0 0 1
2 0 1
0 2 1
1 0 1
0 0 2
2 0 2
2 2 1
1 0 2
2 2 2
2 1 2
10 7
2 2 1
3 1 2
3 1 3
2 3 1
3 2 0
2 1 2
1 3 1
1 2 0
0 0 2
1 2 1
10 5
3 2 1
0 3 0
2 1 3
1 0 0
1 3 2
1 0 3
1 2 3
0 2 0
0 0 2
0 1 2
10 6
0 1 1
0 0 2
1 0 1
0 0 1
0 2 0
2 1 1
2 2 1
0 2 1
1 2 2
1 1 1
10 5
1 1 0
1 0 2
0 0 2
1 0 0
0 2 1
2 2 1
1 2 1
0 1 2
0 2 2
1 0 1
10 3
0 2 2
2 1 2
0 1 2
1 1 1
2 1 0
0 2 1
1 2 2
0 1 1
2 0 1
0 2 0
10 4
1 3 2
3 3 3
3 0 0
0 3 0
1 1 1
2 1 2
2 3 2
1 1 0
0 1 2
2 1 0
10 9
1 3 0
3 2 3
2 0 0
1 2 2
1 0 2
0 0 0
1 0 3
3 0 3
2 0 1
0 3 0
10 9
2 1 1
1 2 2
2 0 1
2 2 1
0 2 1
0 1 1
0 2 0
2 0 2
1 1 1
2 1 0
10 2
1 0 1
0 3 0
1 3 0
2 3 1
1 1 0
3 1 1
1 3 3
3 3 2
3 3 1
1 2 2
10 5
0 2 2
1 2 1
3 2 3
0 0 3
2 2 0
1 1 3
3 2 1
1 2 0
1 1 0
0 0 0
10 5
2 1 2
2 2 1
1 1 0
2 2 2
1 0 1
2 0 2
0 0 2
0 1 2
1 2 1
0 0 1
10 8
2 2 2
0 0 1
2 1 0
0 2 1
0 2 2
0 0 0
0 1 2
1 0 0
0 2 0
2 1 1
10 3
2 2 1
0 2 1
0 0 1
1 2 1
1 2 0
0 1 0
2 2 2
1 0 2
2 0 2
2 0 1
10 9
1 0 1
2 1 2
0 2 2
0 1 0
1 0 2
1 1 1
2 1 0
3 3 1
1 1 0
0 3 1
10 5
2 2 1
0 0 1
1 0 0
1 0 2
0 2 1
1 2 2
0 2 2
1 0 1
1 1 1
2 1 2
10 8
3 1 2
1 2 2
1 2 3
3 0 2
1 3 1
2 3 0
2 2 3
3 2 0
0 2 2
1 2 1
10 4
2 0 1
2 3 2
1 3 0
1 2 3
3 1 2
1 2 2
2 2 3
2 3 0
3 3 1
0 1 1
10 2
0 1 2
0 0 0
2 1 0
2 2 1
0 2 2
0 0 1
0 2 0
1 0 2
1 1 2
0 1 0
10 5
0 1 1
1 2 1
0 2 0
2 2 0
2 0 2
2 2 1
1 1 1
0 0 0
2 1 1
1 0 1
10 3
3 0 2
2 3 2
0 0 0
0 0 2
0 2 2
3 1 1
1 0 1
1 3 0
2 3 0
3 3 1
10 8
2 0 2
2 3 0
2 3 2
1 2 1
2 0 3
3 0 1
0 0 1
1 3 3
1 1 0
3 2 3
10 6
1 0 1
1 2 0
0 0 1
0 1 2
1 0 2
0 1 0
2 0 2
1 0 0
2 1 2
1 2 2
10 5
2 1 1
2 0 2
1 2 0
1 1 1
2 0 1
0 2 2
1 0 0
0 1 1
1 1 0
0 1 0
10 3
1 1 1
2 1 0
1 2 1
2 1 1
0 2 2
0 2 0
2 2 1
2 1 2
0 0 2
1 0 1
10 5
1 1 0
2 0 2
2 1 0
0 0 0
2 0 1
2 2 1
0 0 1
2 1 2
0 1 0
0 1 1
10 2
3 0 1
0 1 3
0 2 2
0 0 2
0 0 3
1 1 3
2 0 3
1 2 0
3 1 2
3 1 3
10 8
1 1 2
1 1 1
1 2 0
0 2 2
0 0 2
1 1 0
0 0 0
0 0 1
0 1 2
2 2 1
10 4
0 2 0
1 2 0
0 2 2
1 2 1
1 0 0
0 0 2
0 1 0
1 0 1
2 0 0
0 0 0
10 3
1 2 1
0 2 0
1 3 3
1 0 3
1 2 2
3 2 2
0 1 0
1 3 2
3 1 1
0 3 0
10 3
2 1 0
1 2 3
1 2 1
0 2 0
2 2 3
0 1 3
2 0 2
0 1 2
1 3 2
2 1 3
10 8
2 1 2
1 1 1
2 2 1
0 1 1
0 2 0
0 2 1
1 2 1
1 2 0
1 1 2
0 1 2
10 8
2 0 2
2 2 0
2 1 1
0 1 1
0 1 2
1 1 1
2 2 1
1 0 2
2 0 1
1 2 2
10 4
2 0 2
2 1 1
0 2 2
1 0 2
1 0 1
1 1 2
1 0 0
2 2 1
1 2 1
2 2 2
10 6
1 0 1
3 1 3
3 0 0
0 1 2
1 1 3
0 1 3
1 0 2
2 1 1
2 0 3
1 3 2
10 5
0 2 2
1 0 1
0 2 1
2 0 0
1 0 2
0 0 0
0 1 2
1 0 0
1 1 2
0 1 0
10 4
0 1 1
1 2 1
2 0 2
2 2 0
1 1 1
2 0 0
0 2 2
2 0 1
1 2 2
0 0 0
10 9
1 1 0
0 2 0
2 2 2
1 0 0
0 1 0
2 0 1
0 2 2
1 2 2
1 1 2
2 2 0
10 9
1 2 0
2 0 3
3 0 0
3 3 2
1 2 1
1 1 2
2 3 0
0 0 2
0 1 3
1 0 0
10 9
0 1 2
2 1 1
0 1 0
2 1 2
1 2 0
1 0 1
1 0 0
1 2 2
2 2 0
0 0 2
10 6
0 1 0
1 0 0
1 0 2
1 1 2
0 0 1
2 1 1
2 2 1
0 0 2
0 2 1
0 2 0
10 2
1 3 1
0 1 1
1 2 1
2 0 3
3 0 1
3 2 3
3 3 1
3 1 0
2 3 0
2 3 2
10 2
2 0 1
2 0 2
2 1 2
0 2 2
1 0 0
0 0 1
1 1 1
0 2 0
0 0 0
1 0 1
10 8
0 1 2
0 0 1
2 1 0
0 1 1
0 1 0
0 0 0
2 0 1
1 2 0
0 0 2
2 2 0
10 7
1 1 1
0 1 1
0 2 1
0 2 2
2 1 0
1 0 2
1 2 1
0 1 2
2 0 1
1 1 0
10 2
1 0 1
0 0 1
0 1 0
2 1 0
1 1 1
1 1 2
0 2 0
2 0 2
1 0 2
1 2 1
10 7
3 3 3
0 2 1
2 2 2
0 3 2
3 1 2
3 3 2
0 0 0
1 0 2
1 2 2
1 1 1
10 2
0 3 2
3 0 3
0 1 0
0 0 0
0 0 2
0 0 3
0 1 1
2 1 0
1 0 3
2 3 0
10 7
0 1 3
2 0 2
2 2 2
0 2 2
0 0 3
2 0 0
3 2 3
0 0 0
2 1 2
2 2 3
10 5
0 2 0
0 1 0
2 1 0
1 0 2
2 0 1
0 2 2
2 2 1
0 1 1
2 1 1
1 1 1
10 8
1 2 0
0 2 2
1 2 2
2 2 0
0 0 1
1 1 1
2 2 1
1 1 0
1 0 2
0 2 1
10 2
0 1 1
3 3 3
0 0 2
2 2 1
3 1 2
0 3 1
1 1 1
3 2 2
1 1 0
3 2 1
10 5
2 2 2
1 1 2
1 0 1
1 1 3
0 3 2
0 0 0
1 2 3
2 2 1
1 3 1
0 1 1
10 2
0 2 0
0 1 1
1 1 0
1 2 1
2 2 2
0 0 2
2 1 0
1 2 0
2 1 2
1 0 2
10 5
0 0 2
2 0 0
1 2 2
0 2 0
1 0 0
0 2 2
2 1 2
2 0 1
0 0 1
2 0 2
10 4
3 2 0
1 1 3
1 3 3
3 1 0
3 3 0
1 2 3
3 2 3
2 1 3
1 1 2
3 3 2
10 2
0 2 2
1 1 2
0 0 2
0 1 2
2 0 1
2 2 2
2 2 1
1 2 2
1 1 0
2 0 2
10 6
3 1 0
1 1 0
3 0 1
1 1 1
3 2 2
1 0 2
2 0 1
1 0 0
2 2 1
0 1 2
10 2
2 2 0
0 1 2
2 1 1
0 2 0
0 0 2
2 0 2
0 1 1
1 0 0
1 1 2
2 2 1
10 8
2 1 2
0 0 1
2 1 1
0 1 1
2 1 0
1 1 0
2 2 1
0 0 2
1 0 2
0 1 2
10 8
0 3 2
2 3 1
3 2 2
1 2 2
0 1 2
0 2 1
0 0 1
0 3 1
2 0 3
2 2 1
10 8
0 0 2
0 2 2
1 0 1
1 1 0
2 1 2
0 1 0
2 2 0
2 2 2
1 0 0
0 2 0
10 5
0 1 0
1 1 1
2 2 2
1 2 2
0 1 2
2 2 0
1 0 0
0 2 1
0 2 0
2 1 0
10 2
0 2 0
1 0 2
2 2 1
0 3 0
2 3 1
3 2 1
3 2 3
0 2 1
0 3 2
1 1 0
10 2
2 1 0
2 2 2
1 0 2
2 1 2
1 2 0
1 1 1
0 1 2
0 2 0
1 2 1
2 1 1
10 6
3 0 3
2 3 3
0 2 3
1 3 1
0 2 0
0 0 1
0 0 3
3 1 0
2 2 1
2 1 1
10 3
1 1 1
0 1 2
0 0 1
2 0 0
2 2 0
1 1 2
0 2 1
2 1 2
0 0 2
1 0 2
10 8
2 0 2
1 0 1
0 1 2
0 2 1
1 1 2
2 2 2
1 1 1
0 2 0
2 1 2
2 1 0
10 8
2 1 2
1 0 0
0 3 3
1 2 3
0 0 2
2 0 3
1 1 2
1 3 3
2 2 1
0 0 0
10 8
0 0 0
2 0 0
2 1 0
1 2 2
1 2 0
1 1 1
2 2 0
0 1 2
1 1 2
0 1 0
10 6
1 0 2
1 2 0
2 2 0
2 1 2
1 0 0
1 1 1
2 2 2
0 1 2
1 2 2
0 0 2
10 2
2 1 0
2 0 0
1 2 0
0 2 0
2 0 1
0 0 1
1 1 0
0 1 1
0 2 1
1 2 1
10 2
2 2 2
2 0 1
1 2 2
0 1 2
1 0 1
0 1 0
2 1 1
2 0 2
0 0 1
2 1 2
10 5
2 1 1
2 0 0
2 1 0
1 2 0
2 2 2
2 1 2
1 2 1
1 1 2
0 2 2
1 1 1
10 7
1 1 3
1 3 0
0 1 1
0 0 0
3 3 0
1 1 2
2 3 3
0 2 1
1 2 2
0 3 2
10 2
3 0 1
3 1 3
3 0 0
1 1 3
3 3 2
3 1 0
0 3 1
2 2 3
2 3 1
3 2 1
10 8
1 3 1
2 1 3
1 2 1
3 2 2
0 1 0
0 0 0
0 0 3
3 3 1
0 0 2
2 3 2
10 3
2 0 2
2 1 3
2 2 2
1 3 3
2 3 2
1 1 2
0 0 1
1 1 3
1 2 1
3 0 3
10 5
1 2 0
2 0 0
2 0 1
0 2 0
0 2 1
0 1 2
0 0 2
0 1 0
0 2 2
2 1 0
10 6
0 0 0
1 1 1
2 1 2
2 1 0
2 2 2
0 2 0
1 0 1
2 2 0
1 0 0
0 1 0
10 2
1 0 0
3 2 2
0 1 2
2 2 0
0 1 0
3 0 1
0 0 0
2 0 0
2 1 1
0 1 3
10 9
2 2 2
1 1 0
0 1 1
0 2 2
1 2 2
2 0 1
2 1 0
1 0 0
0 1 2
0 0 1
10 7
0 1 1
2 2 0
0 0 0
0 1 3
2 1 0
1 2 3
1 3 2
1 0 0
1 1 2
2 3 3
10 4
0 2 3
0 1 1
3 2 2
1 3 3
1 2 0
2 1 2
1 1 2
3 0 0
2 0 3
3 1 2
10 2
0 1 1
3 1 3
3 2 0
1 3 0
0 1 2
3 3 0
3 2 2
0 1 0
2 0 2
3 0 3
10 3
2 1 2
1 2 0
1 1 0
0 2 0
2 2 0
0 0 1
2 0 0
1 2 2
2 0 1
1 0 1
10 8
3 2 3
1 2 2
0 3 2
1 2 0
1 0 1
0 3 0
0 2 3
2 1 0
2 0 1
3 3 3
10 3
2 2 2
0 0 3
2 2 0
2 0 2
3 2 1
0 3 0
3 0 1
1 3 2
3 2 3
2 1 3
10 6
2 2 1
1 0 0
1 0 2
1 2 2
1 0 1
0 0 0
2 2 2
2 0 2
0 2 2
2 1 1
10 9
0 2 1
0 1 2
1 2 2
1 1 2
0 1 1
0 0 2
2 2 0
1 0 2
2 1 0
2 2 1
10 3
2 1 1
0 3 1
3 3 0
3 3 2
1 3 3
2 2 0
3 0 0
3 0 3
1 1 2
3 1 1
10 3
2 2 0
1 0 2
3 2 0
0 0 1
0 0 2
2 1 0
0 1 1
2 2 1
0 0 3
3 2 2
10 3
0 1 0
1 3 2
2 0 1
3 1 3
1 2 1
2 1 1
1 3 0
0 2 0
3 3 1
0 3 0
10 8
2 2 3
0 2 2
2 0 2
2 3 2
0 2 1
2 1 2
1 1 0
1 0 2
3 3 0
3 3 2
10 4
1 1 0
0 1 0
0 2 0
1 2 1
0 2 1
1 0 0
0 0 2
0 1 1
0 2 2
0 1 2
10 9
0 0 1
0 1 1
2 0 0
1 1 0
0 0 0
1 1 1
1 0 2
0 2 0
2 0 1
2 1 0
10 6
2 3 3
3 3 0
0 2 1
1 0 2
0 3 1
1 3 0
2 1 2
3 3 2
2 0 1
1 0 1
10 8
1 0 0
1 0 1
2 0 1
0 2 0
0 0 2
0 0 1
2 1 2
0 1 1
2 1 0
1 1 0
10 3
2 0 2
3 2 3
0 1 1
3 2 1
1 2 0
3 1 3
0 0 0
2 0 3
0 2 1
3 0 2
10 7
0 2 2
1 0 2
0 0 2
3 1 0
1 3 0
3 3 2
0 1 2
3 0 1
2 1 2
1 1 2
10 4
2 1 2
3 2 3
1 2 0
1 3 1
2 0 2
2 0 0
1 1 3
0 1 1
1 3 2
2 1 3
10 8
2 2 0
2 1 1
2 3 3
1 0 3
2 1 3
3 1 1
0 3 3
0 3 0
3 1 0
1 3 1
10 7
0 1 2
2 0 1
1 2 3
2 3 0
2 2 1
3 0 0
2 1 3
0 1 3
0 2 2
2 3 1
10 3
0 1 3
1 3 3
3 2 2
3 0 2
3 2 1
1 2 0
1 1 3
0 1 2
2 0 1
0 1 1
10 4
1 1 1
2 2 2
1 2 2
0 1 2
1 0 0
1 2 0
0 0 1
1 0 1
0 0 2
2 2 1
10 7
1 1 0
0 1 1
2 3 0
0 3 3
1 1 2
2 2 3
1 0 0
2 0 1
2 0 0
3 2 2
10 3
2 2 1
2 2 2
0 2 2
0 2 0
2 0 1
1 0 0
2 2 0
0 2 1
1 1 1
1 2 0
10 5
2 0 0
0 2 1
1 2 3
3 0 0
1 2 2
0 1 0
0 2 0
1 3 2
1 1 1
0 0 0
10 9
1 1 1
0 2 1
2 2 0
2 0 1
1 1 0
0 0 0
0 0 2
1 0 2
1 0 1
2 1 1
10 7
2 2 0
2 2 1
3 0 3
2 0 1
1 3 3
1 3 1
2 0 0
1 1 2
2 1 3
1 0 3
10 6
3 1 3
3 0 1
1 2 0
2 1 3
2 2 1
1 1 3
3 3 3
3 0 0
2 2 0
1 2 2
10 6
1 1 1
0 2 0
0 2 2
0 1 1
1 1 2
2 0 1
2 1 2
1 0 1
0 0 2
1 2 0
10 4
0 0 3
1 2 0
2 1 1
1 0 0
1 3 3
0 3 3
3 0 3
2 1 2
3 0 2
3 1 1
10 6
1 1 1
2 2 0
2 0 0
1 2 2
1 0 1
2 2 2
0 1 2
2 1 0
0 2 1
0 2 0
10 8
1 0 2
2 0 1
0 1 0
2 2 2
2 2 0
1 2 1
0 0 0
0 2 0
2 1 1
2 2 1
10 3
0 0 0
2 1 1
0 0 1
0 2 2
1 2 2
0 1 0
2 2 1
1 1 0
2 0 0
0 2 1
10 2
0 3 2
2 1 0
0 2 0
1 0 1
1 2 3
3 3 2
3 3 1
0 3 1
3 0 3
2 2 3
10 5
3 3 1
2 3 0
2 3 1
1 0 3
3 1 2
2 1 3
2 2 3
0 2 0
1 2 1
1 2 2
10 9
3 3 1
1 1 3
3 2 1
2 2 1
0 2 1
1 0 1
3 1 3
1 3 1
2 1 3
1 0 3
10 5
2 0 3
2 3 0
2 2 2
1 1 2
2 0 0
2 0 2
0 1 3
3 3 1
0 2 0
3 1 3
10 4
0 2 2
0 0 2
2 2 2
2 1 1
0 0 0
3 3 2
1 2 1
0 2 0
2 1 3
3 3 3
10 8
3 0 2
0 3 3
0 3 2
1 2 2
1 2 1
2 3 3
3 2 3
0 2 0
3 2 1
2 1 2
10 5
3 0 2
3 3 0
1 1 1
1 0 0
3 0 3
0 3 2
1 0 1
2 2 3
1 3 0
1 1 2
10 3
3 1 0
1 1 0
0 3 1
2 1 0
0 0 2
3 2 0
2 3 3
3 3 1
3 0 3
3 0 1
10 6
0 2 3
0 1 1
1 2 0
0 1 0
2 3 3
0 0 0
1 2 1
3 3 0
3 0 3
1 3 3
10 5
2 2 2
0 1 0
1 3 3
0 1 3
0 3 2
1 0 3
1 0 2
2 2 3
1 2 1
3 1 0
10 2
2 2 2
1 2 0
1 3 2
3 0 2
0 1 3
2 0 2
1 0 1
1 2 3
2 0 0
0 2 2
10 3
1 3 2
3 3 3
1 2 3
0 0 0
0 3 0
1 3 0
3 1 1
3 2 3
2 2 3
3 1 3
10 4
2 1 1
1 1 0
1 1 1
1 2 2
1 0 0
0 2 2
2 2 2
0 1 1
0 1 2
2 2 1
10 9
0 1 0
1 0 2
1 2 0
1 1 2
1 1 1
1 1 0
0 2 1
0 1 2
0 2 0
2 2 1
10 7
3 2 0
2 1 2
1 3 0
3 1 2
1 1 1
3 2 2
3 1 1
0 2 2
0 0 1
3 2 3
10 9
1 2 2
1 2 1
0 1 1
0 0 3
1 0 0
3 1 2
0 2 1
1 3 1
3 3 1
2 0 1
10 4
0 1 0
2 0 2
1 0 1
0 2 2
2 1 1
2 2 2
2 0 1
0 0 0
1 1 0
0 2 1
10 9
2 0 1
2 1 0
2 0 2
0 2 1
1 1 1
1 1 2
1 1 0
2 0 0
1 0 0
0 1 1
10 4
2 3 2
3 1 3
3 3 2
1 3 2
2 1 1
0 3 3
2 1 0
2 3 1
3 2 3
0 2 3
10 2
2 0 1
0 0 2
0 0 0
1 1 1
0 2 1
2 1 2
1 0 1
0 1 0
2 0 2
0 0 1
10 2
2 0 2
1 2 1
2 1 1
1 2 2
2 1 0
1 1 0
2 1 2
0 0 2
1 1 1
1 0 1
10 2
2 2 2
0 3 3
1 0 0
3 0 2
0 1 3
2 2 1
2 3 0
2 0 2
1 1 0
2 1 0
10 2
2 3 2
3 0 2
0 0 0
0 1 0
3 2 3
1 2 2
3 3 0
0 0 1
0 1 3
1 1 0
10 5
1 0 0
1 2 0
0 2 0
1 2 1
0 1 1
0 2 2
1 2 2
2 1 2
0 2 1
2 2 1
10 2
3 0 1
2 3 1
3 2 2
0 1 0
2 2 2
2 0 0
1 2 2
1 2 1
1 2 0
1 0 1
10 4
0 3 0
0 2 2
0 0 2
2 3 2
2 2 2
0 2 3
3 2 1
2 0 3
0 3 2
2 3 3
10 8
2 2 2
2 2 1
0 2 0
0 0 0
0 1 0
1 0 0
1 1 2
2 1 1
1 0 1
0 1 1
10 8
1 2 1
0 0 1
1 0 0
2 1 0
2 0 0
0 2 1
2 0 1
1 1 2
2 2 2
1 1 1
10 4
3 2 3
1 3 1
1 0 1
3 0 3
3 1 0
1 2 0
1 3 3
2 0 1
0 3 0
0 0 2
10 3
2 2 0
2 1 0
0 0 0
2 2 2
1 2 1
2 1 1
1 1 1
1 0 2
1 1 2
1 2 0
10 3
2 0 0
0 3 3
2 0 1
0 1 3
2 1 1
0 1 2
0 0 1
2 2 0
3 3 1
1 0 0
10 5
3 1 2
1 0 2
1 1 1
0 3 1
3 0 3
1 3 3
0 2 0
0 0 3
3 1 1
3 2 2
10 4
1 3 1
1 2 0
3 3 2
1 0 1
3 2 3
1 0 0
2 0 1
1 3 2
0 1 0
0 1 1
10 3
0 3 3
0 2 3
3 0 1
3 2 1
0 2 0
2 0 1
0 2 2
2 0 3
3 0 3
1 1 3
10 4
2 0 3
0 1 1
3 0 0
0 2 1
0 0 0
0 2 3
3 0 1
1 3 0
1 3 1
2 3 1
10 8
1 3 1
2 1 0
2 3 3
0 1 2
1 1 3
0 3 3
0 0 1
1 2 0
0 2 3
1 0 0
10 6
0 0 2
2 2 1
2 3 3
1 2 0
2 0 0
1 0 3
3 3 2
2 2 2
2 0 1
1 1 0
10 7
0 2 2
3 2 2
1 3 1
0 3 2
3 2 1
2 3 3
2 0 1
1 1 3
0 3 1
1 2 2
10 4
1 0 2
1 1 2
0 2 0
0 2 2
2 2 2
0 2 1
2 0 1
2 2 1
1 2 1
0 1 1
10 9
2 1 0
0 2 2
2 1 1
2 0 3
2 0 1
1 3 0
2 0 0
0 0 1
1 0 2
0 0 0
10 8
2 3 0
1 3 0
2 0 0
2 1 0
1 2 1
3 3 0
2 2 1
2 0 3
0 0 0
2 3 2
10 5
0 2 2
0 2 0
0 1 1
0 2 1
1 0 0
1 1 2
0 0 0
1 1 1
0 0 1
0 0 2
10 4
0 3 2
1 2 3
3 3 2
0 1 3
2 0 2
3 3 1
1 1 3
2 1 2
0 3 1
2 2 2
10 9
2 0 0
0 0 2
1 1 1
2 2 0
2 2 2
1 0 1
1 0 0
1 2 0
1 1 2
2 1 2
10 6
0 0 0
1 2 1
1 0 1
2 0 1
2 2 0
1 1 2
0 1 1
1 2 0
1 1 1
2 2 2
10 3
0 3 3
0 2 0
0 3 1
2 3 1
1 0 0
0 1 0
0 0 2
0 2 1
0 0 0
3 0 1
10 8
1 0 2
2 1 0
2 2 0
1 1 2
0 2 0
3 0 3
3 3 3
2 3 2
1 3 2
1 2 3
10 6
2 0 0
0 1 0
0 0 2
1 1 0
0 1 1
2 1 1
0 1 2
0 0 0
1 2 2
1 1 2
10 8
3 3 2
3 2 1
2 3 3
3 1 2
0 0 3
0 2 2
2 1 3
2 2 3
2 1 1
1 0 0
10 5
0 2 2
2 1 0
1 2 0
1 1 3
1 3 0
1 0 3
2 2 2
0 0 0
3 3 0
2 3 1
10 9
1 0 1
1 1 0
1 0 0
2 2 0
1 2 2
2 0 0
0 1 2
1 0 2
0 2 0
0 0 1
10 4
1 1 0
2 2 2
2 0 2
3 0 1
0 1 2
1 2 0
2 3 2
1 0 2
2 1 2
3 1 1
10 5
0 1 2
2 0 0
2 2 2
2 2 0
1 0 2
1 0 0
1 2 0
0 0 1
1 2 2
0 0 0
10 2
2 0 0
2 0 2
1 2 1
1 1 1
0 0 1
1 2 0
2 2 2
2 2 1
0 1 1
2 1 1
10 6
3 3 0
3 1 1
1 2 3
1 3 2
1 3 3
3 2 3
0 2 1
2 3 3
3 0 1
0 1 1
10 8
2 3 1
3 2 1
2 0 3
2 3 0
0 3 0
0 3 1
0 1 0
1 1 3
0 2 0
2 3 2
10 5
3 2 0
1 0 3
1 1 3
2 3 0
2 3 1
0 2 3
0 1 1
0 3 0
3 3 3
1 2 2
10 9
0 1 1
2 1 1
3 0 1
0 0 2
1 0 1
2 1 0
0 2 0
1 1 0
2 3 3
2 1 3
10 6
1 1 0
0 0 1
0 2 0
0 1 2
2 2 0
2 1 1
1 1 2
1 1 1
2 2 1
1 0 2
10 8
0 2 2
1 2 0
0 1 1
0 0 0
2 0 1
2 2 1
2 1 0
1 0 0
2 1 2
2 2 0
10 6
1 0 3
0 2 3
2 2 3
1 3 3
1 2 3
2 3 2
0 0 1
3 1 2
0 2 0
2 0 0
10 9
3 0 1
3 2 3
3 2 2
0 1 0
0 1 2
3 1 3
2 0 3
0 0 3
1 0 3
1 0 0
10 4
2 0 1
2 2 1
0 1 0
2 0 0
0 2 1
2 1 0
2 2 2
0 0 2
2 1 1
0 2 0
10 2
2 1 0
1 1 2
0 2 1
0 1 2
0 0 0
1 1 1
1 0 0
0 2 0
1 0 1
2 0 0
10 6
0 1 2
0 2 2
0 2 0
0 0 2
3 1 0
2 2 2
1 0 3
0 3 3
3 0 2
1 1 3
10 4
2 0 3
3 0 2
2 3 3
3 1 2
3 2 0
3 0 0
2 3 1
0 0 0
0 1 0
3 3 2
10 5
2 1 2
2 1 1
1 1 2
1 1 0
3 3 0
1 3 3
3 0 0
1 0 1
3 2 3
0 3 1
10 5
2 0 0
1 0 0
0 0 2
1 0 1
2 2 0
2 1 2
0 1 1
0 2 2
2 1 0
0 2 1
10 5
0 1 0
0 1 1
1 2 2
1 0 2
2 1 2
1 1 0
2 1 1
0 0 1
1 0 1
0 2 2
10 5
2 0 0
1 0 0
2 2 3
3 3 2
1 1 2
2 3 2
0 0 1
2 2 1
1 2 2
2 1 2
10 8
2 2 2
0 2 1
0 1 0
0 2 0
1 1 2
1 0 0
0 1 1
0 0 0
2 1 0
1 0 2
10 9
1 1 2
0 2 1
1 0 2
2 1 0
0 0 2
1 1 1
1 0 1
2 2 2
0 0 1
2 1 2
10 9
3 1 0
2 3 1
2 1 2
0 3 3
0 0 0
0 0 3
0 3 2
1 0 0
2 1 1
0 2 0
10 4
0 1 3
1 2 1
1 3 1
0 2 2
1 0 1
0 3 3
3 3 3
0 3 0
0 1 2
1 3 2
10 6
1 0 2
0 2 0
1 0 1
2 1 1
0 1 1
1 0 0
2 1 2
0 2 1
0 1 2
1 1 2
10 3
0 1 3
0 2 3
1 2 1
1 2 3
1 1 1
0 1 0
0 1 1
2 3 0
2 3 2
1 2 2
10 5
2 1 1
0 3 0
1 3 2
0 0 3
0 0 1
0 2 3
3 2 2
3 3 3
2 3 1
0 1 1
10 8
2 1 1
3 1 3
1 3 2
2 1 0
0 2 3
3 1 2
0 3 2
1 2 2
0 0 3
1 1 3
10 8
3 1 3
2 2 2
1 3 1
1 0 3
2 3 1
2 2 1
1 3 3
0 0 0
3 1 1
3 3 0
10 2
1 2 1
1 2 2
2 2 2
2 1 1
1 0 0
0 2 0
0 2 1
1 0 2
1 1 1
0 1 2
10 2
0 0 0
2 0 1
1 0 0
0 1 1
1 2 0
0 2 2
2 0 0
0 2 0
1 2 2
0 2 1
10 2
3 0 0
2 1 3
2 0 1
3 3 1
3 3 2
0 1 0
3 3 0
1 1 2
0 1 3
3 0 1
10 5
2 2 1
1 0 2
0 1 3
2 0 1
0 2 0
2 0 3
3 2 3
1 1 3
1 0 3
1 1 2
10 8
0 0 1
2 1 0
1 0 1
3 1 1
3 2 3
1 2 1
1 1 3
3 0 0
3 1 0
2 3 0
10 6
2 2 0
2 0 0
0 0 0
2 0 2
2 0 1
1 1 0
0 2 1
1 2 1
0 1 2
1 2 0
10 9
0 1 1
1 0 2
1 2 1
1 2 2
2 2 1
1 0 0
2 1 0
2 0 1
0 0 1
1 1 0
10 6
1 2 0
1 0 1
0 2 0
0 1 1
1 1 0
2 0 0
2 1 2
0 0 2
1 1 2
0 0 0
10 9
1 0 2
2 0 2
2 0 0
1 2 2
0 0 2
0 1 0
0 2 2
2 2 0
0 2 0
0 2 1
10 4
1 0 3
0 1 3
3 2 2
1 3 1
2 0 2
3 3 0
3 0 3
3 0 0
3 3 2
3 1 0
10 3
1 1 1
1 1 0
1 0 2
2 0 1
2 2 0
2 0 0
1 2 0
1 0 1
0 0 2
2 2 1
10 8
3 0 0
0 1 0
3 1 1
0 0 2
3 0 1
3 3 3
0 1 2
3 1 3
1 0 3
2 3 3
10 8
1 3 2
0 3 1
0 1 3
1 0 1
3 0 3
1 2 2
0 0 1
3 0 1
3 1 2
1 2 0
10 7
0 0 1
2 1 0
0 1 1
2 2 0
0 1 0
2 2 1
0 1 2
0 2 2
0 0 2
2 2 2
10 9
0 2 2
2 0 1
1 1 2
1 2 0
1 2 2
2 2 2
0 1 2
1 1 1
0 2 1
2 0 0
10 7
1 1 2
0 0 1
2 1 0
1 0 0
2 1 1
1 1 0
0 2 2
1 0 1
2 2 1
1 1 1
10 5
1 1 2
0 0 0
2 2 0
1 0 0
2 1 1
0 2 1
2 0 1
1 0 2
0 1 2
2 0 0
10 8
3 3 3
2 3 1
1 0 0
0 2 3
3 3 2
1 1 1
2 1 0
1 0 3
0 2 0
0 3 2
10 6
0 1 1
0 0 1
2 0 0
2 2 0
0 2 2
1 0 0
2 1 1
0 0 2
0 1 0
1 2 1
10 6
2 0 2
0 1 0
1 1 2
1 2 0
1 0 1
0 0 1
0 2 1
1 0 0
1 2 2
2 0 0
10 6
3 0 2
1 0 2
1 3 0
1 1 0
3 3 3
2 2 3
2 2 2
3 2 1
1 1 3
2 3 2
10 8
0 2 1
2 1 2
1 0 2
0 0 2
2 1 1
1 2 1
2 1 0
2 2 0
0 1 2
0 2 0
10 3
2 0 0
1 2 0
0 1 0
2 0 1
1 0 1
2 0 2
2 2 0
0 0 1
1 1 0
2 1 0
10 8
0 0 1
2 1 1
0 1 3
2 0 3
2 0 0
0 2 3
0 0 2
0 3 1
2 1 3
3 3 0
10 9
2 2 0
1 1 0
0 0 2
1 0 0
2 0 0
2 0 2
2 2 2
2 1 2
0 1 0
2 1 0
10 2
1 1 3
2 0 2
0 3 1
2 2 1
3 0 0
0 1 1
3 1 1
3 3 2
1 0 1
1 3 1
10 4
0 1 1
0 2 1
2 0 1
2 0 0
1 1 0
2 2 1
1 2 2
1 1 1
1 0 0
0 2 2
10 6
2 0 1
1 3 3
1 3 1
1 0 2
2 0 3
3 1 1
3 2 0
0 1 3
2 2 2
1 1 2
10 4
2 0 0
0 0 1
2 0 2
1 1 2
2 1 2
0 1 1
0 2 2
0 0 0
0 1 0
2 1 1
10 4
0 1 0
2 0 1
2 1 0
2 1 2
1 2 0
1 1 2
0 2 1
1 0 2
0 0 1
0 0 2
10 4
2 2 1
2 0 3
1 0 0
1 1 3
3 2 2
0 3 1
0 1 3
0 2 3
3 2 1
0 0 3
10 9
1 2 1
0 1 0
0 3 0
0 2 3
1 2 0
3 3 3
2 0 0
3 2 1
2 0 2
2 1 2
10 8
1 2 0
2 2 2
2 0 2
0 0 1
1 0 0
1 1 1
1 1 2
0 1 0
0 2 0
2 1 2
10 7
0 1 0
2 2 0
2 0 1
2 1 0
0 2 0
0 0 1
1 1 0
2 1 1
2 2 2
1 2 1
10 2
0 2 3
0 1 0
3 0 0
2 0 0
0 0 1
1 3 2
2 3 1
2 2 3
1 0 3
1 1 1
10 2
3 2 2
0 2 0
2 0 1
2 2 3
1 2 3
0 0 0
1 2 1
1 3 2
3 3 2
2 3 0
10 6
1 2 0
1 2 3
0 2 1
2 3 2
3 2 0
3 3 1
0 2 3
0 3 0
0 0 1
3 2 2
10 9
1 2 2
2 1 2
1 2 1
2 2 2
2 0 2
0 2 1
0 2 2
0 1 1
1 1 1
1 1 2
10 6
0 3 2
0 3 3
1 1 0
0 0 3
1 1 2
0 1 0
2 0 0
3 0 3
1 3 0
3 2 0
10 4
2 2 1
0 2 1
0 0 2
2 1 1
1 2 1
0 2 0
2 2 0
1 0 2
0 1 0
2 2 2
10 5
2 0 2
2 3 0
1 0 1
3 3 3
3 3 0
0 0 3
3 1 3
0 0 0
3 2 2
2 0 3
10 5
0 2 2
1 0 2
0 1 2
2 2 2
1 2 1
1 2 2
2 0 0
0 2 1
1 1 1
2 2 0
10 9
2 1 3
3 0 3
2 1 1
2 0 1
1 0 1
0 2 0
2 2 0
3 1 1
3 1 0
0 0 1
10 5
0 2 3
1 1 3
0 3 2
3 0 0
3 2 0
3 1 2
2 0 1
2 0 0
1 2 2
1 2 0
10 9
2 0 3
0 0 3
0 3 2
2 3 3
2 0 1
3 0 0
2 0 0
2 2 0
0 2 2
1 3 3
10 2
2 3 1
3 0 3
0 1 1
3 1 3
1 1 0
3 3 0
3 2 2
0 2 0
1 2 1
2 0 3
10 8
2 2 1
2 1 0
2 2 0
2 2 2
1 2 1
1 0 3
3 0 0
0 1 3
1 0 1
3 0 2
10 4
1 1 1
2 2 1
0 1 1
3 3 3
1 1 3
1 3 1
2 1 2
0 3 3
1 0 3
3 2 3
10 7
1 2 0
1 0 1
0 1 1
2 2 1
0 1 2
1 1 0
2 1 1
2 2 2
1 0 2
1 1 1
10 7
2 2 3
1 0 3
0 3 2
0 2 1
1 2 2
0 2 0
2 3 2
1 1 1
0 1 3
1 2 0
10 8
2 0 0
3 2 3
3 3 0
0 2 1
1 1 3
3 1 2
3 3 3
1 3 2
2 3 0
3 1 3
10 5
1 3 0
1 2 2
0 1 2
1 3 1
0 1 3
0 0 0
1 2 1
2 0 1
1 3 2
3 0 3
10 3
2 2 0
1 2 0
1 1 2
1 1 0
2 0 0
2 2 1
1 0 2
2 2 2
0 0 2
2 0 1
10 3
1 2 1
2 1 1
0 0 1
2 0 1
2 2 0
0 1 2
1 2 2
0 2 2
2 0 2
0 2 0
10 2
1 1 1
1 1 2
2 2 2
2 2 1
0 2 2
0 1 2
2 1 2
1 0 0
1 0 2
2 0 0
10 8
2 0 0
1 2 1
0 2 2
0 1 1
1 1 2
1 1 1
2 1 1
2 2 2
1 0 2
0 0 2
10 7
3 2 3
2 3 3
2 1 0
1 3 1
2 2 3
0 1 0
2 3 0
1 0 0
3 3 1
2 1 3
10 7
1 0 1
0 1 1
2 1 1
2 1 0
2 0 1
2 2 1
0 2 0
0 0 0
2 2 0
1 2 2
10 2
0 1 2
0 2 0
2 2 0
0 1 1
1 1 0
1 2 1
1 1 2
1 2 0
2 0 1
2 2 2
10 3
2 0 1
1 2 2
0 2 1
1 1 1
1 0 0
2 2 2
2 1 0
2 1 1
1 0 1
2 2 1
10 6
0 0 0
1 2 0
2 0 0
0 3 0
2 2 0
1 2 3
2 1 2
3 3 2
2 0 1
1 1 0
10 8
0 1 0
0 2 1
0 0 0
0 1 2
0 1 1
2 1 1
1 0 2
1 0 0
1 1 1
2 1 2
10 2
1 2 1
1 0 0
2 1 0
0 1 0
2 2 0
1 2 2
1 1 0
2 2 1
1 0 2
1 2 0
10 3
2 1 0
0 2 2
1 0 3
3 0 3
1 2 3
3 2 3
1 0 2
3 2 2
0 3 3
2 2 0
10 5
0 1 2
2 1 2
1 1 2
2 0 2
1 2 2
2 2 0
1 0 2
1 2 1
0 0 1
0 0 0
10 5
2 0 1
2 1 3
3 0 2
1 0 1
2 0 2
3 3 3
2 3 0
1 0 0
3 2 0
1 2 3
10 9
0 0 2
1 2 1
2 1 2
2 2 0
1 1 2
0 0 1
1 0 1
1 1 0
0 2 1
1 2 0
10 4
0 1 2
1 1 2
0 0 0
1 1 0
0 2 2
1 2 1
2 0 0
2 1 1
2 0 1
1 0 1
10 7
0 2 2
2 2 2
2 1 0
1 0 2
0 2 0
2 1 2
2 0 0
0 1 1
0 0 0
1 0 1
10 8
1 2 1
1 1 2
2 0 0
0 2 0
1 1 1
1 0 1
1 2 2
0 0 0
1 2 0
1 0 2
10 8
0 0 2
1 2 1
0 2 1
3 3 0
1 3 3
0 3 2
1 2 0
3 1 2
0 3 3
0 1 2
10 7
0 0 0
3 0 3
1 3 2
0 3 0
3 1 3
2 3 3
0 1 3
0 2 1
2 1 2
3 2 3
10 8
0 2 1
2 0 0
1 1 2
0 1 0
2 0 1
0 0 2
2 2 1
0 1 1
2 1 0
2 2 0
10 8
1 3 3
1 3 1
3 1 3
0 3 3
3 3 1
0 1 1
3 1 0
0 1 2
3 0 2
2 2 1
10 6
2 3 1
2 2 2
2 0 3
2 2 1
0 1 0
2 3 2
1 1 2
1 1 0
3 0 0
1 0 2
10 7
1 1 1
3 1 2
3 3 2
3 1 3
2 2 3
3 2 0
1 1 3
2 3 0
3 2 1
3 1 1
10 5
2 0 3
2 1 1
3 3 3
1 3 2
3 0 2
3 1 0
1 1 0
1 1 1
3 2 0
1 0 2
10 2
3 3 2
2 1 3
0 0 1
1 2 0
0 3 1
0 1 0
3 1 0
2 2 2
0 2 3
0 2 2
10 9
2 2 0
1 0 0
0 2 2
0 1 2
2 1 2
0 1 1
1 2 0
1 0 2
2 0 0
0 0 2
10 3
2 0 2
0 2 0
2 1 2
1 1 2
0 0 0
2 2 0
0 1 0
2 1 1
1 2 2
2 2 1
10 7
3 1 2
0 1 3
0 1 1
3 0 1
2 2 1
3 2 2
2 3 0
0 3 0
1 3 1
1 2 2
10 7
2 2 0
0 3 0
3 1 1
3 0 1
3 3 0
0 0 3
0 1 0
2 2 3
0 3 3
0 2 2
10 4
3 2 1
2 3 3
1 3 3
2 1 0
3 1 0
2 2 2
1 1 0
3 0 1
1 3 1
1 2 3
10 2
2 0 0
3 2 2
2 3 3
0 1 3
0 2 0
0 3 0
0 0 0
3 1 2
3 1 1
1 1 0
10 2
0 1 2
1 0 1
0 1 1
0 2 0
2 0 0
1 1 1
0 1 0
2 2 0
1 1 2
2 1 2
10 9
2 1 0
0 2 2
1 1 2
2 2 1
1 2 1
0 0 0
2 1 2
2 0 2
2 1 1
0 0 2
10 6
0 0 2
1 0 0
1 1 1
2 2 1
1 1 0
0 1 0
2 1 0
0 2 1
0 1 1
2 1 2
10 7
3 2 2
0 2 2
3 2 1
0 3 0
1 3 3
1 3 0
2 3 1
0 0 2
0 0 3
1 2 1
10 2
0 1 0
2 0 1
1 0 1
1 0 2
1 2 1
1 1 2
0 0 0
0 0 2
2 1 2
1 2 2
10 7
3 2 3
2 3 0
0 2 3
1 0 3
1 1 2
2 2 0
3 1 1
1 3 2
0 0 1
2 1 1
10 8
3 1 1
3 3 3
1 2 2
1 1 3
0 0 2
1 3 2
3 0 1
3 1 2
0 1 1
0 3 2
10 2
2 2 0
0 2 1
2 1 2
2 1 1
3 1 1
0 0 0
1 2 0
3 2 2
2 0 0
2 3 2
10 2
1 2 2
0 0 2
1 0 0
2 1 2
2 0 1
1 0 2
0 0 1
1 1 2
1 0 1
2 2 1
10 5
0 0 2
2 2 2
0 2 2
0 2 0
1 2 2
1 2 1
0 0 1
2 2 0
2 1 1
0 1 1
10 5
0 3 2
3 3 1
1 2 3
0 0 3
3 2 1
2 1 1
1 1 1
2 0 0
2 2 2
1 0 2
10 3
0 2 0
1 2 2
0 0 1
0 0 0
2 2 2
1 1 0
1 1 2
2 0 1
1 0 0
2 1 2
10 3
2 2 0
1 2 0
2 0 2
0 1 0
2 1 1
1 0 1
1 1 0
1 1 2
0 2 0
0 2 1
10 7
1 2 2
0 0 2
1 0 1
0 2 2
1 0 2
0 2 1
2 2 0
1 1 0
0 1 0
0 1 1
10 2
3 3 1
2 1 0
3 2 1
0 2 2
1 0 2
1 1 1
2 1 1
0 3 0
2 0 0
0 2 1
10 4
1 0 1
0 0 1
0 1 0
0 2 1
0 1 2
1 0 0
2 2 2
2 1 2
2 0 1
0 1 1
10 5
3 2 3
3 3 3
2 0 2
1 1 1
1 2 3
3 1 0
0 2 2
1 3 0
3 2 0
0 3 0
10 2
1 1 2
2 2 1
2 0 0
2 1 1
0 0 1
0 2 2
2 1 0
1 2 0
2 1 2
0 0 2
10 8
1 2 2
1 0 0
2 0 2
0 0 2
1 1 2
2 2 1
0 2 0
0 2 2
2 2 0
0 0 0
10 9
1 1 2
1 1 3
2 3 0
3 3 3
3 2 2
3 2 0
0 1 3
1 2 0
2 3 2
3 0 1
10 3
2 1 3
1 3 1
0 1 1
2 3 2
0 0 2
1 0 2
0 3 0
0 0 0
3 2 3
0 2 2
10 7
0 0 2
0 0 0
1 2 2
2 2 2
0 1 1
1 0 1
2 0 2
2 0 0
2 0 1
0 1 2
10 5
2 3 1
2 0 0
0 1 0
3 2 0
1 2 3
0 3 3
2 1 0
1 3 2
3 0 1
1 2 1
10 9
0 1 2
2 1 2
0 1 0
0 0 1
0 2 0
1 2 2
0 1 1
0 2 1
1 2 0
2 2 2
10 4
2 1 0
1 0 2
1 1 2
2 2 2
0 1 2
2 0 2
2 1 1
0 0 1
1 1 1
0 2 0
10 5
3 2 3
2 2 3
3 2 0
2 3 3
1 3 0
3 3 1
0 2 0
0 1 1
2 2 2
2 0 2
10 7
0 1 3
1 3 2
2 0 3
0 2 3
1 2 2
3 0 1
1 1 0
1 3 1
1 0 1
2 0 1
10 2
1 1 3
2 1 2
2 2 2
2 0 2
1 1 0
3 3 2
1 3 1
2 1 0
2 3 1
3 2 1
10 2
1 2 2
2 0 2
0 0 1
0 1 1
1 1 1
1 0 0
0 1 0
1 1 0
1 1 2
2 1 2
10 5
0 1 2
1 2 0
1 1 1
2 0 2
2 1 1
0 2 2
0 0 2
2 1 0
1 2 1
0 2 1
10 2
0 3 2
2 1 1
1 0 0
3 3 3
1 2 1
2 0 1
1 2 2
2 3 0
2 3 2
3 0 2
10 8
2 1 0
1 0 2
1 1 2
0 0 2
2 1 1
0 0 0
0 1 2
2 0 0
0 2 0
2 1 2
10 7
2 1 0
0 1 1
0 2 2
1 0 1
1 2 0
1 1 2
1 1 0
2 2 1
1 2 2
2 1 1
10 7
1 0 3
2 3 3
3 3 0
2 0 1
1 3 0
3 1 0
3 1 2
0 3 3
2 2 1
3 1 1
10 8
1 1 0
1 2 1
0 1 2
2 1 2
1 1 2
0 0 1
2 2 2
1 0 0
2 2 0
1 0 1
10 2
1 0 0
2 0 1
2 1 0
1 1 0
1 2 2
1 2 1
2 2 2
1 1 2
0 2 2
2 1 2
10 5
1 1 2
0 0 1
2 0 0
0 1 2
0 1 1
1 0 1
0 1 0
2 1 1
1 1 0
2 2 2
10 2
2 1 1
0 1 2
0 2 0
0 2 2
1 0 0
1 2 2
2 2 1
1 0 1
1 1 1
0 1 1
10 9
3 3 1
0 2 3
1 3 1
0 2 0
3 2 0
1 2 2
2 0 3
1 1 1
0 1 3
2 0 0
10 4
0 1 1
0 3 3
2 3 2
2 2 2
3 3 3
2 0 0
3 1 0
0 1 0
3 3 2
2 0 1
10 4
3 0 0
2 3 3
1 3 1
1 3 0
2 0 0
1 1 0
1 1 1
0 0 3
0 0 1
3 3 3
10 5
2 0 2
2 2 2
2 0 1
0 2 0
0 1 2
2 2 0
1 2 0
1 2 1
0 0 0
2 1 0
10 2
1 2 0
3 2 2
1 2 1
2 2 3
1 1 0
0 3 1
1 1 2
3 3 2
0 0 3
0 1 0
10 8
3 2 0
2 1 2
3 2 3
2 0 3
2 3 3
1 2 1
2 0 1
1 2 0
1 3 0
0 3 3
10 8
0 2 1
2 1 0
1 0 2
2 2 0
1 1 2
1 2 2
1 2 1
0 0 1
1 1 0
1 2 0
10 5
2 1 1
1 1 3
2 3 2
0 0 3
2 0 2
0 1 2
3 0 3
3 2 0
3 2 2
1 1 1
10 9
1 0 1
1 1 0
2 1 0
2 0 2
0 2 0
0 1 0
2 0 1
2 2 2
2 1 1
1 1 2
10 6
2 2 0
1 0 1
2 1 0
0 0 2
1 1 1
0 2 2
2 2 2
1 0 2
2 1 1
1 0 0
10 8
0 2 2
0 0 1
2 2 2
0 2 3
2 1 3
3 3 0
1 3 0
0 0 2
2 3 1
2 1 2
10 9
2 0 1
1 0 1
2 2 2
0 0 1
0 1 0
1 1 0
0 2 1
2 1 1
0 1 2
1 0 2
10 3
2 3 0
1 1 1
0 2 2
3 2 0
2 0 2
1 1 3
0 0 1
2 0 1
0 2 3
1 0 3
10 7
2 0 1
0 0 3
1 1 0
0 3 0
0 0 2
2 2 1
1 1 3
3 0 3
3 2 1
3 1 1
10 5
0 1 0
0 0 1
1 1 1
2 0 0
0 2 2
2 1 1
2 1 2
0 2 0
0 2 1
1 0 1
10 6
0 1 3
0 0 0
0 3 2
0 3 3
2 3 0
2 1 1
3 1 0
1 3 0
1 1 3
1 1 1
10 3
1 3 0
2 3 0
0 0 2
3 2 2
1 2 0
1 2 2
0 1 0
0 3 1
3 0 0
3 3 1
10 4
0 1 1
1 0 1
1 0 2
1 1 2
0 0 1
0 2 1
2 2 0
0 2 0
2 2 1
0 0 2
10 2
0 0 1
0 1 1
1 1 2
1 0 1
0 0 0
0 1 0
1 0 2
1 2 0
1 1 0
2 1 2
10 7
3 2 0
3 3 2
1 1 3
1 0 1
3 0 1
2 2 1
3 2 1
0 1 1
1 2 0
2 0 0
10 6
0 0 2
2 0 2
2 2 2
1 1 2
1 2 2
1 1 0
2 1 0
0 2 2
2 1 2
1 1 1
10 5
1 1 0
0 2 2
1 1 1
1 2 1
2 0 1
1 2 0
2 0 0
2 1 0
2 2 1
2 2 0
10 3
1 0 2
1 2 2
0 2 2
0 1 0
0 0 1
2 1 0
0 0 2
2 2 2
2 2 1
2 1 2
10 7
2 1 2
2 2 0
0 2 0
0 1 1
2 0 2
0 0 0
2 2 1
1 0 2
0 1 0
1 0 0
10 6
2 0 1
0 1 1
1 2 2
1 1 0
0 2 1
0 2 2
0 1 2
0 1 0
2 0 2
0 2 0
10 8
3 1 1
1 3 2
2 1 2
3 2 0
1 0 0
2 1 1
3 3 2
3 1 2
3 2 2
0 0 2
10 7
2 1 3
0 3 1
2 0 0
3 1 1
3 1 0
2 0 2
0 3 3
0 2 1
1 1 2
0 1 3
10 4
2 0 0
1 1 1
0 2 2
0 0 2
2 1 1
2 2 2
2 2 0
1 2 1
0 1 1
0 2 1
10 3
1 0 2
1 1 2
2 2 2
2 0 0
2 1 2
2 2 0
2 2 1
2 1 1
0 1 1
0 0 0
10 5
0 2 1
0 1 1
0 0 1
1 2 0
2 0 1
1 1 0
0 2 0
1 0 2
1 1 2
0 1 2
10 7
3 2 0
2 2 2
3 2 3
3 1 0
2 3 2
1 0 0
0 2 3
0 1 1
1 1 0
3 3 2
10 9
1 1 2
3 2 2
1 1 1
3 1 0
2 1 2
2 3 3
1 0 0
1 2 3
3 3 3
0 0 0
10 4
0 1 0
0 1 1
0 0 3
3 3 3
0 3 1
3 3 1
1 1 0
3 0 0
0 2 3
0 1 2
10 3
0 1 1
0 3 2
1 2 2
1 1 2
2 0 3
3 1 1
2 1 1
2 3 0
3 3 1
3 0 0
10 9
2 2 0
1 2 0
0 1 1
1 0 2
0 1 0
1 2 2
0 0 2
1 1 1
2 0 1
0 2 1
10 2
0 2 2
0 1 0
2 1 2
1 0 0
2 3 2
1 3 1
3 2 1
0 3 1
1 2 0
3 1 1
10 2
2 1 1
2 1 2
2 2 2
2 2 0
1 1 0
2 0 1
1 1 2
0 2 0
1 0 0
1 0 2
10 7
1 1 0
2 3 0
0 1 0
1 3 0
2 1 0
1 1 3
0 2 1
2 0 3
2 2 2
1 1 1
10 3
1 1 2
2 0 1
0 0 0
1 2 0
0 2 2
2 2 1
2 0 0
0 0 2
1 1 0
2 2 2
10 9
1 2 0
2 1 1
1 1 0
0 0 0
0 1 2
2 2 0
1 2 1
0 2 1
2 2 1
0 2 2
10 6
0 0 1
2 0 2
1 2 2
1 2 1
0 1 2
1 0 0
0 0 2
0 2 1
2 2 1
2 2 0
10 4
0 0 0
0 0 2
2 1 1
2 0 1
1 2 1
2 1 0
0 1 0
2 1 2
0 2 0
0 1 1
10 4
1 0 1
3 1 2
2 1 0
2 0 1
3 1 1
1 1 3
1 0 0
3 3 3
1 2 1
3 3 0
10 6
0 1 0
1 2 2
2 2 0
2 0 0
1 2 0
0 1 1
2 2 1
0 1 2
0 0 2
1 0 1
10 9
3 2 1
0 3 1
1 0 0
1 1 2
1 2 3
3 1 2
2 2 0
0 1 1
2 0 2
3 3 1
10 5
1 2 2
2 0 1
2 0 2
0 1 2
0 2 0
2 1 0
0 1 1
0 2 1
2 1 1
1 1 1
10 4
0 1 1
1 1 1
1 1 2
1 0 2
0 1 2
1 0 0
0 1 0
0 0 2
2 0 1
2 2 1
10 3
3 2 0
1 3 3
0 2 0
3 1 1
0 3 1
1 0 1
3 0 2
1 2 2
0 2 3
2 1 2
10 6
1 2 1
3 2 3
3 1 2
2 0 3
3 1 1
2 1 0
2 3 3
1 1 0
2 3 1
3 0 3
10 3
1 0 0
1 1 2
2 1 1
0 1 1
0 2 0
2 1 0
0 0 2
0 1 2
0 2 1
1 2 1
10 6
0 2 0
1 2 2
1 0 1
0 2 2
2 2 2
0 0 1
1 0 2
1 0 0
0 0 2
1 1 1
10 5
2 0 1
2 0 0
0 2 2
2 1 1
0 0 2
1 0 1
0 1 0
1 1 1
1 0 0
2 0 2
10 3
3 0 2
2 2 2
2 3 1
1 0 3
1 2 3
2 1 2
0 0 0
0 3 3
2 1 1
0 3 1
10 9
0 2 2
1 0 3
3 1 3
3 0 0
3 3 2
2 1 3
2 3 2
1 1 3
3 1 1
0 0 3
10 7
2 2 2
1 2 2
0 0 2
2 3 2
3 0 2
1 1 3
0 0 1
3 2 2
2 3 0
3 1 3
10 8
3 2 2
1 1 2
1 1 1
3 1 3
2 0 1
1 3 3
1 2 0
0 1 0
3 3 3
2 2 2
10 4
2 0 1
2 1 2
0 2 1
2 1 0
1 2 1
1 1 2
2 2 1
0 1 0
2 2 2
1 1 1
10 6
1 0 0
1 0 1
1 1 0
2 2 0
0 1 1
0 2 1
2 1 1
0 2 0
1 0 2
2 2 2
10 5
0 2 1
0 0 2
1 1 1
0 0 0
0 1 2
1 0 2
0 2 0
1 1 2
2 1 1
2 1 0
10 4
2 1 1
0 2 2
0 0 3
2 3 2
3 0 0
1 0 1
2 2 0
1 1 2
0 3 3
0 2 3
10 3
0 0 1
1 0 1
2 3 0
1 3 1
3 2 3
1 3 3
2 2 1
3 2 2
2 0 0
3 0 1
10 3
1 0 0
0 1 0
3 1 1
1 2 2
2 1 2
0 3 3
0 2 3
2 3 0
1 3 1
3 3 2
10 2
2 0 2
0 1 1
0 2 1
2 1 0
1 0 1
0 2 2
1 1 1
2 0 0
1 0 2
0 2 0
10 8
3 1 0
1 2 0
0 0 1
3 3 3
2 1 1
3 0 3
3 0 0
2 0 0
3 0 1
0 2 3
10 2
0 1 1
2 0 1
1 0 2
2 0 2
0 0 0
0 1 0
2 2 1
0 1 2
1 2 0
1 1 2
10 9
2 0 1
2 3 0
2 0 2
3 1 1
1 1 0
2 1 0
2 2 2
2 3 1
0 2 3
2 3 3
10 3
1 0 0
2 2 1
1 3 2
0 3 1
0 0 1
3 3 1
0 1 1
1 2 1
3 3 3
2 0 0
10 3
2 3 3
2 2 3
3 2 3
2 1 0
0 3 0
3 3 2
1 0 0
1 1 0
2 3 0
0 2 0
10 8
0 0 2
1 2 2
2 0 0
0 1 1
0 2 2
1 0 0
1 0 2
2 2 1
0 0 1
2 2 2
10 3
1 0 2
2 1 1
1 1 0
2 1 2
0 2 2
1 1 1
0 1 0
0 1 2
1 2 0
2 0 2
10 6
2 0 0
0 0 3
0 1 0
0 3 1
1 2 2
0 0 2
1 0 0
1 3 1
0 1 1
2 1 0
10 7
1 0 2
0 2 2
1 2 1
1 1 0
2 0 0
0 0 0
2 2 1
0 0 2
2 0 2
0 2 1
10 7
0 1 2
0 0 1
1 1 2
2 2 0
2 1 1
2 0 1
0 1 0
1 0 2
2 1 0
1 2 1
10 6
1 2 3
0 1 3
3 2 0
0 0 3
2 1 3
2 1 0
2 2 3
0 1 0
1 3 1
3 1 1
10 3
0 2 2
0 2 0
1 0 0
2 2 2
1 1 0
1 2 2
1 0 1
1 2 0
2 0 0
0 1 1
10 3
3 2 2
1 3 0
2 0 3
3 3 0
0 0 0
1 2 1
2 3 2
0 1 1
3 1 1
0 0 2
10 9
2 2 0
2 0 2
2 1 1
2 1 2
0 1 1
0 2 2
2 2 2
0 2 1
1 2 0
0 1 2
10 7
3 3 3
2 1 1
1 0 0
1 2 0
3 2 1
2 3 2
1 3 0
0 3 0
2 1 3
0 2 0
10 2
1 0 2
3 2 0
3 2 3
0 0 0
2 2 2
0 0 2
1 2 1
0 3 3
2 2 3
3 2 1
10 4
2 3 0
0 3 1
0 0 1
1 3 1
0 2 2
1 1 1
2 2 1
0 2 3
1 3 0
2 1 2
10 8
2 0 1
1 0 2
2 1 0
0 0 2
1 2 2
1 1 2
2 0 2
0 2 1
1 2 0
0 0 1
10 2
1 2 0
1 2 2
0 2 2
1 0 1
1 0 2
0 0 2
2 0 2
0 1 1
1 0 0
0 2 0
10 8
0 0 2
1 3 2
2 3 1
0 2 3
2 2 0
3 1 2
1 0 3
2 2 2
0 0 3
3 2 3
10 5
3 1 1
2 2 2
1 3 3
2 0 1
1 3 1
2 0 3
1 0 0
3 1 3
0 0 0
3 2 3
10 4
0 0 0
0 0 2
2 0 1
2 0 2
1 1 1
0 2 2
2 2 1
1 0 1
1 2 0
2 1 2
10 2
2 1 2
1 1 1
0 1 0
3 2 1
2 0 1
2 3 3
1 3 1
2 2 1
0 1 2
2 3 2
10 4
2 2 1
1 2 0
0 0 1
0 1 2
1 0 2
2 2 2
2 0 2
0 0 2
0 2 1
2 1 1
10 5
0 2 0
1 2 1
0 1 0
2 2 2
2 2 1
2 1 2
2 0 0
1 1 2
2 0 1
1 1 1
10 7
2 2 0
1 1 2
1 2 1
0 1 0
1 2 0
0 2 1
2 2 2
0 0 1
0 2 2
1 0 1
10 4
0 3 0
0 2 0
0 1 1
2 0 0
3 0 2
3 1 2
2 1 0
3 3 2
2 2 3
3 2 3
10 7
1 0 3
0 2 3
2 1 0
2 3 3
0 3 2
2 2 3
0 3 3
2 1 1
1 2 2
2 0 0
10 4
2 1 2
2 1 3
2 1 0
0 1 0
2 3 1
3 1 3
2 3 2
3 0 1
0 2 0
3 2 0
10 5
1 2 0
2 0 0
2 0 2
1 0 0
0 1 2
1 1 1
2 2 2
2 1 0
0 2 1
0 1 1
10 3
0 0 0
1 2 2
1 0 0
1 1 1
0 2 2
2 1 2
1 0 2
0 0 2
1 0 1
2 0 2
10 9
0 0 1
2 0 0
1 0 1
2 2 2
0 1 1
2 1 2
2 1 1
1 0 2
2 2 0
0 2 1
10 6
3 0 3
3 0 2
3 2 0
1 2 0
0 0 2
1 2 3
0 2 2
0 1 1
3 2 1
3 1 2
10 3
0 1 0
3 2 0
1 2 1
3 0 0
3 0 3
1 0 1
0 2 0
3 3 2
0 3 1
3 2 3
10 8
2 1 1
2 2 1
1 2 2
1 1 1
0 1 0
2 1 2
0 2 2
1 1 2
1 2 1
0 0 1
10 9
3 1 2
0 2 1
3 3 0
0 3 2
1 2 2
0 1 2
1 0 2
2 3 1
3 0 2
1 3 2
10 9
3 2 2
0 3 0
2 1 1
3 0 3
2 0 3
1 3 2
3 0 2
1 0 2
2 2 0
1 1 3
10 9
1 3 1
1 3 0
0 0 0
3 2 1
2 2 2
3 0 3
3 2 0
3 2 2
1 2 0
2 1 2
10 6
0 2 0
2 1 0
0 2 1
0 1 1
0 2 2
1 1 2
1 0 1
0 1 0
2 0 0
2 0 2
10 4
1 0 2
2 1 1
2 2 0
0 1 0
1 1 0
2 2 2
0 0 1
0 1 1
1 0 1
0 0 2
10 8
1 1 0
0 2 1
2 0 1
2 1 1
1 1 1
1 2 2
2 0 0
2 1 0
1 1 2
2 1 2
10 6
1 1 1
0 0 1
0 3 1
3 2 3
2 1 1
0 1 3
2 2 1
0 3 0
0 2 2
2 0 0
10 4
0 1 2
0 2 0
0 2 1
2 1 0
2 0 1
1 2 2
1 0 2
0 2 2
1 1 1
1 2 1
10 6
0 2 2
2 0 2
1 3 3
3 0 1
0 1 0
3 3 0
0 3 1
3 2 3
1 1 1
0 0 2
10 7
3 0 3
3 3 3
0 2 3
2 3 1
3 3 0
0 2 1
2 2 2
1 0 0
0 1 1
3 0 0
10 2
1 0 2
2 2 0
2 1 0
0 0 1
0 0 2
1 1 0
1 0 1
1 2 0
2 0 1
0 2 2
10 3
0 2 0
1 3 0
2 3 0
2 2 0
3 3 2
3 3 3
0 1 3
0 1 0
2 3 2
1 0 2
10 7
1 2 1
3 3 2
0 1 3
1 3 2
2 3 2
0 0 3
1 1 3
3 1 2
3 1 3
1 0 3
10 5
2 0 0
2 2 3
2 2 1
2 3 0
2 2 0
1 1 1
1 1 0
1 0 1
1 3 2
2 3 1
10 9
1 1 3
2 2 2
0 0 2
3 2 2
1 0 1
0 2 2
0 1 3
0 3 0
3 3 2
0 0 0
10 7
1 3 1
2 1 0
1 3 2
0 2 1
3 3 2
3 1 3
1 2 3
0 0 2
2 2 1
2 3 3
10 5
0 2 3
3 1 1
3 0 1
2 0 2
1 3 2
2 2 1
1 3 3
1 2 0
0 1 1
2 2 0
10 6
0 3 1
1 1 2
1 3 0
2 0 3
2 3 0
2 2 1
1 2 0
2 0 2
3 1 3
0 2 3
10 7
3 3 1
1 3 0
2 2 1
2 1 2
1 0 1
2 1 0
3 1 1
2 1 3
0 1 3
3 0 3
10 8
2 2 2
2 1 1
0 0 0
0 1 1
1 1 1
0 0 2
1 1 0
0 1 2
1 0 1
2 2 1
10 8
0 1 2
2 0 0
0 1 0
2 0 2
2 1 0
0 0 0
2 2 1
0 2 1
0 1 1
1 2 2
10 7
2 2 3
2 2 0
3 3 2
0 1 3
2 0 3
3 0 0
0 3 2
3 0 2
2 0 2
0 2 1
10 4
1 2 2
0 2 2
2 1 1
1 0 1
2 1 0
0 1 2
2 2 1
0 2 1
2 0 1
0 2 0
10 5
0 0 1
2 2 2
0 1 0
0 1 2
2 2 1
0 1 1
0 2 0
0 0 2
0 2 2
1 1 1
10 3
2 2 1
2 0 0
1 2 3
2 2 2
2 0 1
2 0 3
0 2 2
0 3 0
1 0 2
1 2 1
10 2
0 1 1
2 2 0
0 2 2
2 0 2
0 1 2
2 1 1
2 0 1
0 0 0
0 0 1
2 1 2
10 6
3 0 3
2 0 3
2 1 2
3 1 0
1 0 2
0 2 0
1 0 3
2 3 2
0 2 3
1 2 2
10 3
3 2 2
1 1 3
1 2 1
1 1 0
3 0 0
1 3 1
2 2 1
3 1 1
0 1 0
1 2 0
10 6
1 1 2
2 1 0
0 1 0
2 0 2
0 1 1
1 0 2
0 2 0
1 1 0
1 0 1
2 1 1
10 8
2 0 1
1 3 1
2 1 2
1 3 2
3 3 2
2 1 1
0 1 2
0 0 1
1 2 1
0 2 2
10 7
0 0 1
2 3 2
3 0 2
2 0 2
1 1 1
1 1 2
1 2 0
3 2 3
1 0 2
2 2 1
10 9
3 1 0
0 3 1
2 0 1
0 0 2
1 1 2
0 2 2
3 0 3
1 3 3
0 0 1
2 0 0
10 6
1 2 2
0 1 1
1 1 0
0 0 2
2 0 0
1 2 1
2 1 1
2 0 1
0 1 0
2 2 0
10 2
1 0 1
1 1 0
1 0 2
0 1 2
1 2 0
0 0 1
2 2 1
1 2 2
0 0 0
2 0 1
10 7
1 0 2
0 3 2
1 0 3
1 0 1
3 3 1
2 3 2
2 1 1
1 2 2
1 1 1
3 2 2
10 6
3 2 0
3 1 3
1 0 1
0 3 2
0 1 0
3 3 1
2 1 1
0 0 2
1 1 3
0 3 0
10 4
3 0 2
1 2 2
3 0 3
1 1 2
2 3 2
1 2 3
2 0 3
0 2 2
0 1 1
3 1 3
10 7
1 0 2
2 2 0
1 0 1
0 1 0
0 0 2
1 0 0
0 0 1
2 1 1
0 0 0
1 1 2
10 6
0 1 3
2 0 3
3 3 0
1 1 3
2 3 2
2 2 3
2 0 2
0 1 2
3 0 3
1 3 0
10 8
2 2 1
0 1 2
2 1 3
1 3 1
3 2 1
0 0 1
0 3 3
3 0 0
0 1 3
1 2 2
10 5
0 1 2
0 0 1
1 0 0
1 2 1
2 0 2
1 2 0
2 2 0
2 2 2
1 1 1
2 1 2
10 8
2 2 0
1 1 1
1 1 2
1 2 2
2 2 1
0 0 0
0 0 2
0 1 0
2 1 2
1 2 1
10 4
1 2 1
0 0 2
2 2 1
1 1 1
1 0 2
0 0 0
2 1 1
1 2 0
0 2 1
0 2 0
10 5
2 0 1
0 0 2
1 2 0
1 1 1
0 1 1
0 2 1
1 2 2
2 2 1
1 1 0
0 2 0
10 5
2 3 1
0 3 0
2 3 0
3 1 1
1 0 1
1 1 2
0 0 2
2 3 3
0 0 3
1 3 0
10 2
2 2 1
0 2 2
2 2 2
1 0 0
2 2 0
1 1 1
2 0 2
1 1 0
2 1 1
1 2 0
10 4
2 0 1
2 0 2
1 1 2
1 0 1
1 2 1
2 1 1
1 2 2
1 1 1
1 2 0
2 1 2
10 8
2 2 0
1 1 0
1 0 1
0 2 2
0 1 2
0 1 0
0 0 2
1 0 2
0 1 1
2 1 1
10 4
0 0 2
1 2 2
1 0 0
0 1 0
1 0 2
0 0 0
1 1 0
0 1 2
1 1 2
2 2 1
10 4
3 3 1
3 1 1
3 1 0
2 0 2
2 1 0
1 3 1
2 2 2
2 1 2
1 0 0
0 0 2
10 3
2 1 0
1 1 1
2 0 2
0 2 0
2 2 1
2 1 1
1 2 2
1 0 0
0 0 1
2 0 0
10 5
3 0 0
2 2 0
0 1 0
1 0 1
3 2 1
3 2 3
3 1 1
0 2 1
3 3 0
0 2 0
10 3
1 1 1
2 2 1
2 0 0
1 2 0
1 1 0
1 0 2
1 2 2
0 2 2
1 0 0
1 2 1
10 3
3 2 1
0 0 2
3 0 0
1 2 2
1 3 1
2 1 3
3 2 0
1 1 3
3 3 0
0 1 0
10 7
1 3 0
2 2 0
2 1 2
1 3 2
0 1 3
3 2 1
1 1 3
3 0 3
0 2 0
2 1 1
10 8
3 3 2
2 3 3
2 1 1
0 2 0
2 0 3
0 0 1
0 1 1
2 2 0
1 2 0
3 1 1
10 2
0 2 2
2 2 0
1 0 2
1 1 1
1 2 2
2 2 1
2 1 0
0 0 1
1 1 0
1 2 0
10 8
2 1 0
2 0 2
0 0 0
0 2 1
1 0 2
1 1 0
0 2 2
0 2 0
2 0 1
1 1 1
10 4
2 2 1
1 2 0
0 1 0
1 1 2
1 1 1
1 0 0
0 0 0
1 0 2
2 0 1
0 2 2
10 2
1 0 3
0 3 0
3 0 2
0 0 0
3 0 3
2 2 2
3 2 3
2 2 0
2 0 1
2 3 3
10 5
2 2 2
1 0 0
0 0 2
0 0 1
1 0 1
1 1 0
2 2 1
2 2 0
2 0 2
1 2 0
10 2
1 2 2
0 2 0
2 2 2
2 0 1
2 2 0
1 2 0
1 0 2
0 2 2
0 0 1
2 1 0
10 5
2 2 0
2 1 1
0 1 1
2 0 2
0 1 2
1 2 2
0 2 1
2 0 1
1 0 2
2 2 2
10 6
2 0 2
2 1 1
0 0 0
1 0 2
1 1 0
1 2 1
2 2 0
2 1 0
0 2 0
1 0 0
10 3
1 2 2
0 2 0
1 2 0
1 0 1
2 2 1
2 1 0
2 1 2
1 1 2
0 0 1
0 1 0
10 2
1 2 2
3 3 2
0 3 2
2 0 3
0 1 3
2 2 2
0 3 1
2 1 1
1 3 2
3 0 1
10 3
2 0 2
0 2 0
3 2 1
2 3 3
3 2 2
2 3 1
0 0 1
3 1 2
3 3 3
1 3 0
10 7
1 1 0
3 3 0
2 1 3
3 2 0
0 3 1
1 1 2
2 3 3
2 2 1
0 1 3
2 1 0
10 6
2 1 3
3 3 3
1 2 3
2 3 2
1 0 3
0 1 3
0 3 1
3 3 2
2 2 1
3 2 2
10 5
1 2 2
1 2 0
2 0 1
2 2 0
0 0 0
0 0 1
1 0 2
1 1 2
2 0 0
1 0 0
10 4
0 0 2
0 2 0
1 0 0
1 1 1
1 0 2
0 1 0
0 0 0
2 0 2
2 2 2
1 1 0
10 8
1 2 3
0 0 2
1 1 2
0 1 0
2 3 1
1 1 0
0 0 3
2 3 0
3 1 1
2 2 1
10 8
0 1 2
1 1 2
1 1 1
0 2 0
0 2 1
2 0 2
2 2 2
1 0 1
1 1 0
1 2 2
10 3
1 1 2
1 0 0
2 1 3
1 2 0
2 2 1
0 3 1
3 3 1
0 2 3
3 3 2
0 0 1
10 7
1 2 2
3 0 1
0 0 0
3 2 0
3 1 1
0 3 3
1 0 0
2 2 0
3 3 1
1 1 1
10 3
3 0 2
2 3 2
0 3 2
0 1 3
1 0 2
2 0 2
0 2 2
3 3 3
1 0 0
2 1 0
10 7
0 0 0
2 1 0
0 2 2
1 2 1
2 2 2
1 1 2
0 1 2
0 0 1
0 2 0
1 2 0
10 6
0 1 2
1 2 2
2 1 2
0 0 2
1 2 0
2 2 2
2 2 1
1 1 2
1 2 1
2 0 1
10 9
1 0 2
2 1 2
2 2 1
2 1 0
2 2 0
2 0 0
0 0 2
2 2 2
1 1 1
2 1 1
10 6
2 0 2
1 0 0
0 0 2
1 1 2
0 1 2
2 1 2
1 1 1
2 2 0
1 0 2
0 0 0
10 5
2 3 2
3 2 2
2 0 0
0 0 0
1 1 0
3 1 3
0 0 2
2 2 3
2 0 2
2 3 1
10 9
2 0 2
2 1 2
0 0 0
2 2 0
2 2 1
1 0 1
1 1 1
2 2 2
0 0 1
1 2 2
10 5
0 2 2
2 2 2
1 0 1
1 1 0
2 0 2
0 1 0
1 2 2
2 1 1
2 0 1
1 1 1
10 7
0 1 2
2 1 0
2 1 2
1 1 1
2 1 1
1 2 0
1 1 0
0 2 0
2 2 2
2 0 2
10 5
2 1 0
0 0 0
1 2 1
2 2 2
0 1 2
1 2 0
1 0 2
0 0 1
1 1 0
0 0 2
10 2
1 2 1
2 2 2
0 2 2
0 0 0
0 1 2
0 0 2
1 2 2
2 0 0
1 0 0
2 1 0
10 3
2 1 0
0 2 1
2 1 2
1 0 0
2 1 1
0 1 0
1 1 0
0 2 0
0 1 2
1 0 2
10 4
2 1 3
0 2 1
1 0 0
3 2 1
2 3 0
3 0 0
3 2 0
2 2 0
2 2 2
2 3 1
10 3
1 0 1
0 2 2
2 0 3
1 3 0
0 3 1
0 0 3
2 0 2
0 0 0
3 1 1
3 0 0
10 6
1 2 0
2 2 2
1 1 1
2 2 1
1 0 0
2 0 0
0 1 1
0 2 0
1 1 2
2 2 0
10 2
2 1 1
1 0 1
0 0 1
2 2 3
1 1 0
2 0 2
3 2 1
2 0 1
1 0 2
3 2 2
10 9
1 2 2
1 2 1
2 0 2
2 1 1
0 0 2
2 2 0
1 1 1
0 2 1
0 0 1
2 1 0
10 3
2 1 3
2 2 2
0 1 3
2 1 2
3 3 2
3 0 3
1 1 2
3 3 1
0 2 0
0 2 1
10 5
0 3 1
1 0 3
3 3 0
3 2 1
3 0 1
0 1 0
0 0 2
3 1 2
2 0 3
3 2 2
10 7
1 0 2
1 0 0
0 2 1
0 0 1
0 2 2
1 1 2
2 0 1
1 2 1
1 2 0
0 1 0
10 7
2 0 1
2 1 0
1 1 0
0 0 0
1 0 2
1 1 1
1 1 2
0 1 2
1 2 1
2 2 0
10 6
0 2 2
2 0 1
1 2 2
2 1 1
1 1 1
1 1 0
0 1 0
0 0 2
2 0 0
0 0 1
10 3
0 1 0
1 2 2
1 1 2
1 2 0
0 2 1
1 0 1
2 2 0
2 0 0
0 2 0
1 2 1
10 9
2 0 2
1 1 0
2 0 0
0 2 1
0 1 0
0 1 2
1 0 0
0 0 1
1 0 2
0 2 0
10 4
1 1 1
0 1 1
0 0 2
2 0 1
0 2 3
1 1 0
1 1 3
0 3 3
1 3 0
0 3 1
10 4
1 0 2
0 2 2
1 1 3
0 1 0
2 1 2
2 3 0
1 3 1
1 2 0
3 0 1
3 3 2
10 7
0 0 2
3 0 0
0 0 1
0 2 1
3 0 3
3 1 3
3 1 1
1 1 1
1 2 0
0 0 0
10 5
0 1 0
2 2 1
1 1 2
2 0 0
0 0 1
0 2 0
0 0 0
2 2 2
1 1 1
1 0 2
10 6
0 1 1
3 3 3
0 1 0
3 2 1
0 2 2
2 1 0
2 0 2
0 2 1
1 2 0
1 2 3
10 4
1 0 0
0 0 2
1 2 2
2 1 1
0 2 2
2 2 1
0 0 1
0 2 0
1 1 2
2 0 0
10 4
3 3 3
0 2 1
1 0 1
1 1 1
2 1 1
0 2 3
1 1 3
0 1 0
0 1 3
2 1 0
10 9
0 1 0
0 2 2
1 1 0
0 0 0
1 0 1
1 1 1
2 2 2
1 0 0
0 1 1
2 1 0
10 2
2 1 2
2 2 0
1 2 1
0 1 2
0 0 1
2 1 0
0 2 1
1 1 1
1 1 2
2 2 1
10 8
1 2 0
2 2 2
3 3 3
1 3 3
1 3 2
1 3 0
1 2 3
3 0 2
0 3 0
2 0 1
10 7
3 3 0
1 3 2
2 3 3
1 2 3
0 3 2
1 0 3
3 2 0
3 3 3
2 3 1
1 0 1
10 3
0 0 1
2 3 3
1 2 3
2 2 1
0 1 1
0 0 2
3 3 3
2 1 3
2 3 2
0 0 3
10 7
1 0 0
1 1 0
2 1 1
1 2 0
1 2 2
2 2 1
0 0 1
0 1 1
0 2 0
2 2 2
10 7
0 3 3
1 2 1
3 0 1
1 1 3
1 1 1
2 1 1
0 2 1
3 1 1
2 0 0
3 2 1
10 3
0 0 2
0 3 0
0 2 1
3 2 0
1 2 3
0 2 3
1 3 3
3 0 1
2 2 1
2 3 3
10 4
1 2 0
0 0 2
1 2 1
2 2 2
0 0 0
2 0 0
0 2 1
2 0 2
0 1 1
0 0 1
10 8
0 0 1
1 0 2
2 0 0
2 1 1
0 2 1
1 2 0
1 2 1
1 0 1
1 0 0
2 1 2
10 3
2 2 1
1 1 0
0 1 2
2 1 0
2 2 2
0 0 0
2 1 2
1 0 0
0 1 0
1 1 2
10 3
3 1 0
3 0 3
1 1 0
2 2 3
1 1 2
1 1 1
3 2 2
2 3 1
3 3 3
0 1 2
10 6
0 1 2
0 0 2
0 2 1
1 0 1
0 2 0
2 2 0
1 1 2
0 0 0
0 1 1
1 1 0
10 9
1 0 1
0 1 2
0 0 1
2 1 2
2 2 0
1 1 0
1 2 1
2 0 1
0 0 2
0 1 0
10 8
2 2 0
2 2 3
2 1 3
1 3 1
3 0 0
3 0 1
2 0 3
2 0 2
0 2 2
1 1 1
10 8
1 0 3
1 0 1
2 2 3
2 0 1
3 1 3
3 1 2
1 1 0
2 1 3
1 1 1
3 0 1
10 6
0 2 0
0 0 0
1 1 1
2 1 2
2 2 0
2 0 2
0 2 2
2 0 1
0 2 1
1 2 2
10 9
1 3 3
0 3 2
2 3 1
1 0 2
1 1 0
0 0 1
1 0 0
3 0 2
3 1 3
3 3 3
10 6
0 3 2
2 3 3
2 2 0
0 1 2
1 1 0
1 2 3
2 3 1
3 2 1
1 2 2
0 0 2
10 2
0 1 2
0 1 0
3 0 1
3 1 0
1 2 3
2 2 3
2 2 2
3 1 1
2 0 3
3 1 3
10 5
1 3 1
2 0 2
2 0 3
0 3 1
3 1 1
0 3 2
3 3 0
1 3 3
1 2 3
1 0 2
10 6
1 0 2
0 2 2
0 1 2
2 2 1
1 1 1
2 2 0
2 2 2
1 0 0
0 1 1
2 1 1
10 9
0 0 3
3 2 0
3 2 3
0 2 0
1 3 0
2 3 3
2 1 2
0 2 1
1 3 2
1 1 3
10 2
2 1 2
2 2 2
2 2 1
2 2 0
1 1 1
1 2 0
1 0 0
0 1 0
1 1 2
0 0 0
10 3
0 1 1
2 0 2
1 1 1
1 0 2
2 1 0
0 2 1
2 2 1
2 0 1
2 1 2
1 0 1
10 4
3 1 0
0 1 2
2 3 1
0 2 3
2 0 3
1 0 3
1 1 3
3 3 2
2 2 1
2 1 0
10 5
2 2 1
0 1 1
0 1 2
1 2 0
2 0 2
0 1 0
0 2 1
2 2 2
0 2 0
2 1 1
10 3
1 1 2
2 1 1
2 2 0
2 2 1
2 0 2
0 2 0
1 1 0
2 0 0
1 0 1
1 2 2
10 9
0 2 0
0 2 3
3 3 2
2 3 3
0 0 1
2 3 1
2 1 3
1 3 2
0 0 3
1 2 1
10 9
3 1 2
1 2 3
1 2 0
3 0 1
1 3 0
2 0 1
3 1 3
2 2 2
0 2 0
2 1 3
10 3
0 2 2
2 2 1
1 2 0
0 2 0
0 0 2
2 0 2
0 1 2
2 0 1
2 1 1
2 2 2
10 5
2 1 1
1 0 0
0 2 1
2 1 2
0 1 0
1 1 0
1 1 2
2 2 1
2 0 2
1 0 1
10 6
0 3 1
3 2 2
2 2 1
3 2 1
3 3 3
3 0 0
0 1 0
2 3 2
1 3 0
0 0 2
10 9
0 2 3
2 0 3
3 0 0
0 3 2
2 2 1
0 2 2
2 0 1
3 2 1
2 3 1
2 2 0
10 8
0 2 2
2 0 2
0 1 0
0 0 1
0 1 2
2 2 1
1 1 0
1 2 0
0 2 1
1 1 2
10 6
2 0 0
2 2 2
0 0 1
3 2 2
1 0 2
3 2 3
3 3 2
2 2 0
2 0 3
0 1 0
10 2
1 2 3
1 3 0
2 2 2
3 2 2
1 1 2
3 0 1
2 2 3
3 3 0
1 1 3
3 2 0
10 3
2 2 0
3 0 1
2 0 1
3 1 1
1 0 2
2 2 2
3 3 2
0 0 1
1 1 0
2 3 3
10 6
3 3 0
3 2 2
0 1 1
2 0 1
3 2 3
2 3 2
2 2 0
1 3 2
1 0 2
2 0 0
10 9
0 2 2
2 2 2
0 0 1
0 1 0
1 0 0
1 2 1
1 0 1
0 1 2
2 2 1
1 1 1
10 6
2 0 1
0 0 2
2 0 2
1 1 2
1 0 0
2 1 0
0 0 1
0 2 2
1 2 1
1 0 1
10 5
3 2 1
2 3 3
0 0 0
1 3 2
1 1 2
2 0 3
2 0 1
0 0 1
1 3 1
1 0 2
10 5
2 1 2
2 2 2
0 0 1
0 2 0
2 0 1
0 0 2
2 2 1
1 2 2
0 1 2
0 1 0
10 5
1 1 2
0 0 1
0 1 0
0 2 2
1 0 0
0 1 2
1 2 2
0 0 0
1 1 0
0 2 0
10 9
2 0 0
1 2 2
1 0 1
1 1 2
0 1 0
0 2 2
2 2 1
2 0 1
1 1 1
2 2 2
10 8
1 0 2
2 1 2
1 1 2
1 0 0
2 2 1
1 2 1
1 2 0
0 0 0
0 2 0
2 2 2
10 3
0 0 2
1 2 3
0 3 0
0 1 1
3 2 1
0 0 3
2 3 1
3 2 0
2 0 0
1 3 0
10 9
1 3 2
0 3 1
3 0 3
0 2 1
2 2 0
0 3 3
0 1 3
2 1 0
3 1 3
3 3 0
10 9
2 0 2
0 1 0
2 1 2
1 1 2
2 2 2
0 0 0
1 2 2
1 0 2
0 2 2
0 1 1
10 6
0 1 1
2 3 2
3 0 3
2 2 0
3 1 2
2 1 2
2 2 2
3 3 2
3 2 1
0 3 2
10 7
1 1 1
0 2 2
0 2 1
2 1 2
2 2 2
0 1 0
1 2 1
2 0 2
1 2 2
2 1 1
10 2
0 0 0
1 1 0
3 0 2
3 2 3
3 3 2
2 1 0
2 3 0
3 1 3
3 3 0
2 2 3
10 5
2 0 0
2 1 0
1 2 2
0 1 0
0 0 2
0 2 0
1 2 0
2 2 1
1 0 2
0 1 2
10 6
0 3 3
2 2 2
0 1 0
0 0 0
3 0 1
0 2 3
1 1 3
0 1 1
0 2 2
1 0 2
10 3
2 0 0
2 1 1
1 0 0
1 0 1
0 1 2
0 2 0
1 1 0
1 2 0
0 2 2
1 1 2
10 5
0 2 1
0 0 2
0 2 2
1 2 1
2 2 2
1 1 1
2 0 1
2 1 0
0 1 2
0 0 0
10 9
0 2 0
2 2 0
1 1 3
3 0 2
3 2 2
0 0 1
0 2 2
1 2 1
3 3 0
3 1 1
10 3
0 2 1
0 1 0
1 2 1
1 2 2
1 1 0
2 2 0
2 0 1
2 1 2
0 0 1
2 2 1
10 6
0 2 2
1 1 0
1 2 0
1 0 2
2 2 2
2 2 0
0 1 0
1 2 2
0 1 2
1 1 1
10 7
2 2 1
0 2 3
2 0 3
2 2 0
1 1 0
0 0 3
2 2 3
3 1 0
2 3 1
1 3 1
10 8
1 2 1
1 2 0
3 0 1
0 2 1
2 1 3
1 0 2
2 0 1
1 3 3
3 0 0
3 2 1
10 9
2 0 3
3 0 3
3 1 1
1 3 2
1 3 3
0 1 0
2 2 1
0 3 0
3 3 1
2 2 0
10 7
0 1 0
2 0 1
0 1 1
2 2 2
1 0 2
1 1 1
0 0 0
2 1 1
1 1 2
0 2 0
10 4
0 0 2
1 0 0
2 2 1
0 2 2
2 0 1
2 1 0
1 2 0
2 1 2
0 1 1
1 0 2
10 5
3 1 1
0 0 3
3 1 3
3 2 2
1 3 3
2 0 3
2 2 1
0 1 0
2 1 2
0 3 3
10 2
3 1 3
1 3 1
2 1 0
2 0 0
3 3 2
2 3 2
0 1 2
1 0 1
1 1 0
3 3 1
10 8
2 0 1
0 0 1
2 1 0
1 1 1
1 0 0
2 1 1
0 2 1
0 1 2
0 0 0
2 0 0
10 6
0 0 3
2 3 3
3 1 0
3 1 2
3 1 3
1 3 2
0 3 2
0 0 1
2 2 0
3 2 1
10 2
3 3 0
0 0 1
0 0 2
2 1 0
1 2 1
2 0 3
0 0 3
2 1 1
1 0 0
1 3 0
10 2
1 1 1
2 0 0
0 1 1
0 2 0
2 0 2
0 0 1
0 1 0
2 2 0
2 2 2
1 2 2
10 5
1 0 1
0 2 2
1 2 2
1 2 1
0 0 2
0 2 1
2 1 1
1 0 2
2 1 2
1 1 0
10 4
2 3 0
1 3 0
1 0 0
0 3 1
0 1 1
1 1 0
3 1 2
1 0 1
2 3 3
0 1 3
10 5
1 2 1
0 1 1
0 2 2
0 0 0
1 1 2
0 1 0
0 2 1
2 2 0
1 0 0
1 2 0
10 7
2 0 0
3 2 3
2 2 2
2 2 3
3 3 1
0 2 2
3 1 0
1 3 1
0 2 1
1 0 0
10 5
2 2 0
0 1 1
1 1 2
0 0 1
2 1 2
0 1 2
1 1 1
1 0 2
2 1 1
1 2 2
10 7
1 1 1
0 0 2
2 3 3
2 1 3
3 2 1
0 2 3
2 0 0
0 0 1
0 1 2
3 2 0
10 3
3 2 3
3 2 1
1 0 0
1 1 0
0 0 1
3 1 1
3 0 3
2 0 2
3 0 1
3 1 2
10 8
2 0 3
3 2 0
2 1 2
1 0 1
0 3 2
1 1 0
0 0 1
2 0 1
3 0 0
2 3 0
10 9
1 2 2
1 0 1
1 0 0
0 1 1
1 0 2
1 2 1
1 2 0
2 2 0
0 0 0
2 1 1
10 5
2 2 0
0 2 0
1 1 0
2 1 0
2 0 1
1 1 2
2 0 0
0 0 2
1 0 0
1 2 1
10 3
3 3 1
1 2 2
0 0 3
2 0 1
0 1 1
1 1 3
0 2 0
0 3 0
3 3 0
0 0 1
10 4
1 1 3
1 0 0
2 0 2
3 1 0
0 3 2
1 1 1
0 1 2
3 3 2
0 2 0
0 0 0
10 3
2 2 3
3 0 0
2 2 1
2 1 0
0 1 0
3 1 1
2 0 3
1 1 2
1 1 1
1 3 3
10 2
0 0 0
2 1 1
2 2 1
0 3 3
0 3 0
3 1 2
2 2 0
1 3 0
0 0 3
0 3 1
10 3
0 2 2
0 1 0
2 1 0
3 0 1
2 0 2
3 1 2
3 0 0
3 1 0
0 1 3
0 2 3
10 4
0 1 2
0 0 2
0 1 0
2 1 0
1 2 1
0 0 1
1 1 2
2 1 2
2 1 1
1 0 1
10 4
1 0 0
1 0 2
2 1 1
2 1 2
0 1 1
2 0 2
0 0 1
2 0 1
0 2 1
1 2 0
10 6
1 1 1
1 0 0
1 2 2
2 0 2
2 2 0
1 1 0
0 2 1
2 1 2
0 1 2
0 1 0
10 6
1 0 0
0 1 1
3 2 3
3 3 3
0 0 3
0 0 2
2 1 1
1 2 1
3 0 0
3 1 2
10 5
1 2 0
0 1 2
1 0 0
0 2 1
1 1 1
0 0 1
2 0 0
2 0 1
2 2 1
1 0 2
10 9
1 2 0
0 0 0
1 1 2
0 1 0
1 1 0
0 1 1
2 2 1
2 1 2
0 2 0
0 2 1
10 2
1 1 0
1 0 2
1 1 1
0 1 2
2 2 0
0 0 2
2 0 2
1 1 2
1 0 0
2 0 1
10 2
2 1 0
2 0 0
1 2 1
2 0 1
2 1 2
1 2 0
2 2 1
0 2 0
1 0 1
1 0 0
10 8
0 1 2
1 2 0
1 0 0
2 1 2
2 0 2
2 2 0
0 1 1
0 0 2
1 2 2
1 1 2
10 4
0 2 0
0 1 1
3 1 3
1 3 1
0 3 2
2 0 0
1 2 0
0 1 0
0 3 1
2 2 1
10 5
0 0 3
0 2 3
1 3 0
0 3 2
2 1 3
1 1 3
3 3 1
3 1 0
1 1 2
2 0 0
10 8
2 2 2
0 0 2
1 0 1
0 1 0
1 2 2
1 0 2
2 1 0
2 1 2
1 1 2
0 2 1
10 3
2 2 2
1 0 2
2 0 0
2 0 1
0 1 2
1 0 1
2 2 0
2 0 2
2 1 0
0 2 2
10 3
0 0 1
2 2 0
2 1 3
3 3 2
0 3 1
2 0 2
1 1 1
1 2 3
0 2 2
0 1 2
10 2
2 1 0
2 2 1
2 2 2
1 0 0
0 0 0
2 2 0
1 0 1
2 0 1
1 0 2
0 1 1
10 3
2 0 2
0 0 2
3 2 2
3 2 0
0 3 1
1 3 0
0 1 0
0 2 0
1 0 3
1 1 3
10 3
2 2 2
0 0 2
1 0 0
2 0 0
2 1 1
2 0 1
1 2 0
0 0 0
0 0 1
0 2 2
10 8
1 2 2
2 2 2
1 0 1
1 1 0
2 0 1
1 1 2
2 2 1
0 0 2
0 0 1
0 1 0
10 9
0 2 0
2 1 0
1 1 1
2 1 2
1 0 0
1 1 2
2 0 1
0 0 1
1 2 0
1 2 2
10 9
2 1 2
0 1 1
2 2 0
1 1 1
1 0 1
0 1 2
0 2 1
1 0 2
0 0 1
0 0 2
10 6
2 3 3
0 2 2
1 1 0
2 1 0
0 0 2
0 2 0
1 0 2
1 3 3
0 3 1
2 0 3
10 6
3 2 2
1 1 1
2 2 3
2 3 2
0 3 3
0 0 1
2 3 0
1 0 0
0 3 2
3 3 0
10 3
3 3 0
2 3 1
2 0 3
1 1 3
2 0 2
2 3 2
0 2 1
1 1 0
3 1 2
0 1 0
10 3
2 2 1
1 0 0
2 0 1
1 2 0
1 1 2
0 1 2
2 1 2
2 0 0
0 2 2
1 2 2
10 3
2 2 1
2 0 1
1 1 1
0 0 0
1 0 0
1 0 1
2 1 1
0 1 2
2 2 0
0 1 0
10 5
1 2 3
1 3 3
0 1 3
1 1 3
2 0 1
0 3 2
3 3 2
3 2 2
2 1 1
1 1 0
10 8
3 2 3
2 2 2
0 0 3
3 3 3
3 3 1
1 3 1
2 1 3
0 3 2
2 3 3
2 3 2
10 2
3 3 3
1 3 1
3 2 0
0 1 2
1 0 3
2 2 1
0 3 1
1 2 1
0 3 2
3 0 0
10 3
1 1 2
3 1 2
1 0 0
0 1 0
1 2 2
3 2 1
3 1 1
0 1 2
3 1 0
1 1 0
10 3
1 2 2
2 1 0
0 1 2
2 2 2
2 0 0
0 0 2
0 1 0
1 2 0
1 2 1
1 1 1
10 7
0 2 1
2 1 1
1 1 0
0 1 2
1 0 1
1 2 2
2 2 2
0 0 0
1 1 2
1 2 0
10 7
2 2 1
2 2 0
1 1 0
1 1 2
2 1 1
1 1 1
0 0 1
0 1 0
1 0 1
0 0 0
10 5
2 2 1
0 1 2
1 0 2
0 2 0
0 0 1
1 2 1
0 2 1
2 0 1
2 1 0
0 0 2
10 4
2 1 2
2 0 0
0 1 2
3 2 3
3 2 1
3 3 3
2 2 3
2 1 1
2 3 2
1 3 3
10 6
0 3 3
3 0 0
1 1 2
2 0 1
1 2 0
0 3 1
3 1 3
0 0 0
3 3 1
1 2 2
10 2
2 0 1
1 1 1
0 1 0
0 2 1
0 2 2
1 2 0
1 0 0
1 0 2
1 2 2
0 0 2
10 5
2 2 0
2 2 2
1 0 2
0 1 2
0 0 1
1 2 0
2 2 1
2 1 1
1 0 0
1 2 2
10 9
1 0 1
2 0 2
0 1 2
0 2 1
1 1 1
2 0 0
2 1 0
1 1 0
1 2 1
0 0 2
10 5
1 0 0
0 1 3
1 2 3
1 1 2
1 0 1
0 0 2
2 2 1
3 2 1
0 3 2
1 0 3
10 6
2 2 2
1 3 2
1 0 3
1 1 2
3 3 0
2 2 0
0 3 2
2 1 3
1 3 0
3 2 0
10 6
2 2 2
1 2 1
1 0 1
1 2 2
0 0 1
0 0 0
2 0 0
2 1 1
1 1 2
1 1 0
10 5
0 1 0
1 2 1
0 2 1
0 2 2
0 0 1
2 2 1
2 0 2
1 0 0
0 1 1
0 0 2
10 2
1 2 2
1 2 0
1 3 2
1 1 2
0 1 3
1 3 0
3 2 0
3 3 2
2 0 1
0 0 2
10 2
2 1 0
0 3 2
0 2 0
1 3 3
0 1 1
1 3 0
0 0 1
0 3 1
0 2 3
2 2 0
10 7
2 2 0
0 2 3
1 1 0
2 0 3
1 3 0
2 3 3
0 0 1
1 0 0
3 3 1
2 1 2
10 5
3 1 0
1 3 1
3 3 0
3 2 2
0 1 0
3 2 3
0 3 1
2 0 3
1 2 1
1 2 2
10 2
1 0 0
0 0 1
1 0 3
1 1 1
2 1 3
2 0 1
0 1 0
1 3 2
0 1 2
2 2 0
10 9
0 2 3
2 2 0
3 0 1
2 0 1
2 2 1
2 3 1
2 3 2
3 3 1
2 1 3
3 1 2
10 6
1 1 0
2 2 1
0 2 2
1 1 1
0 0 0
0 2 0
1 2 0
2 2 2
2 2 0
2 1 1
10 8
1 1 2
2 0 0
0 1 0
2 0 1
0 0 2
2 2 0
0 2 2
2 2 1
0 0 0
1 0 2
10 7
0 2 1
2 1 1
2 1 0
0 1 2
0 1 1
2 0 1
2 2 0
1 0 0
0 0 1
2 1 2
10 6
2 1 1
1 2 1
0 2 1
2 1 0
0 0 1
0 1 2
1 1 1
2 0 1
1 2 2
0 2 2
10 2
2 1 1
1 3 2
3 1 0
1 1 3
0 0 3
0 1 0
3 0 0
1 1 0
1 2 1
0 3 1
10 6
1 2 0
3 1 3
3 3 3
1 0 2
1 0 3
3 2 2
0 1 1
1 3 1
2 2 1
3 1 2
10 3
3 2 3
0 1 2
0 2 0
1 1 1
0 3 2
3 1 2
3 2 0
2 1 2
0 1 0
0 2 1
10 8
1 1 1
3 1 2
2 2 3
0 0 2
3 2 3
2 2 2
1 1 0
0 2 3
0 1 2
1 2 2
10 9
2 1 2
0 0 0
0 2 0
1 2 0
1 0 0
1 1 2
2 2 0
2 2 2
2 0 0
1 2 2
10 6
1 2 1
2 1 2
2 2 1
2 2 2
0 0 1
2 0 1
0 0 2
1 1 0
2 0 0
2 1 0
10 8
2 0 0
0 0 1
0 2 1
0 1 1
1 1 0
1 2 2
1 2 1
0 1 0
1 0 0
2 2 0
10 2
0 3 1
2 2 0
2 3 2
0 0 3
3 2 0
0 1 0
1 0 3
2 1 3
2 3 1
3 0 1
10 6
1 1 2
2 0 2
0 0 1
1 2 0
1 1 0
0 0 0
1 1 1
2 1 1
0 1 0
1 0 2
10 6
2 2 0
2 1 1
2 1 2
1 1 2
2 0 2
0 0 0
1 0 0
0 0 2
2 0 0
1 1 1
10 3
1 3 3
1 2 0
2 3 3
2 0 0
2 2 3
0 0 2
3 3 0
1 2 2
3 0 2
3 0 3
10 2
2 3 0
2 2 0
2 1 1
2 0 0
3 2 1
1 0 0
1 2 0
1 2 3
0 2 1
2 2 3
10 4
0 3 0
0 1 0
0 2 2
2 0 3
1 1 1
1 1 0
3 0 3
2 3 0
3 3 0
1 2 0
10 8
1 3 2
3 0 2
1 0 3
2 0 3
2 2 1
3 2 0
2 0 2
3 1 0
2 2 3
0 2 0
10 8
0 1 0
2 0 0
2 1 0
1 3 3
0 3 1
2 1 3
3 2 2
1 0 2
2 3 1
0 3 3
10 5
2 2 2
0 2 2
2 2 1
1 0 1
1 2 1
2 1 2
1 0 2
2 1 0
0 1 0
2 2 0
10 3
1 1 1
1 0 1
1 2 2
0 0 1
2 1 0
0 2 0
2 1 2
2 2 1
2 2 0
1 0 2
10 6
2 3 1
0 0 3
2 1 2
1 2 3
0 3 2
1 2 2
2 3 0
1 3 0
1 3 3
0 2 3
10 9
1 3 0
0 3 0
1 2 1
2 2 3
0 0 1
2 3 1
0 3 3
2 2 1
1 3 3
3 3 3
10 6
2 2 0
0 2 1
2 2 1
1 2 2
1 0 2
0 0 2
0 1 1
0 2 2
0 1 2
2 0 2
10 2
3 1 1
0 1 3
2 0 1
0 0 2
1 2 1
2 1 2
3 1 3
3 2 2
2 2 3
3 0 3
10 3
1 2 1
0 1 2
0 0 0
2 1 0
2 2 2
2 2 1
1 2 2
2 0 1
0 1 0
0 2 0
10 4
2 0 0
0 0 2
1 1 1
1 2 0
1 1 0
2 1 2
2 2 2
1 2 2
1 0 1
2 0 1
10 5
2 0 1
1 0 1
1 2 2
2 2 0
2 0 0
1 1 2
1 0 0
0 1 1
2 2 1
2 2 2
10 5
2 3 1
3 1 0
1 1 3
2 3 3
3 3 3
3 0 3
1 0 1
2 3 2
3 3 2
3 2 0
10 9
1 1 2
0 1 2
1 1 1
2 1 1
2 2 0
1 0 0
2 0 2
2 1 2
1 0 2
0 0 1
10 8
0 0 3
0 1 1
0 0 0
1 2 2
3 1 2
0 2 3
3 1 1
2 3 0
3 2 0
0 1 2
10 9
1 1 2
3 0 0
0 2 1
2 2 2
1 0 3
1 2 2
1 0 2
2 0 3
2 3 2
3 1 2
10 6
0 2 2
0 1 2
1 1 0
2 0 1
0 1 1
2 2 2
2 1 2
0 1 0
2 1 1
1 0 2
10 2
2 2 0
0 1 0
2 1 2
0 0 2
0 1 1
2 1 1
2 2 2
0 0 1
2 0 0
0 0 0
10 6
3 1 3
1 1 0
0 1 0
2 1 3
0 1 1
2 0 1
0 3 1
1 1 2
0 3 2
0 0 0
10 9
3 1 1
2 2 1
2 2 3
1 3 3
1 3 1
0 1 1
1 1 1
1 2 1
1 1 3
3 3 3
10 7
0 3 2
0 1 3
2 2 1
0 0 0
2 2 0
0 0 1
3 1 1
1 0 2
3 1 0
0 1 2
10 8
0 3 2
0 2 0
0 1 0
0 2 1
1 0 3
1 2 3
0 0 0
0 2 3
1 3 1
0 1 3
10 2
1 2 0
2 1 1
1 1 1
1 0 2
2 0 0
0 0 0
2 2 2
1 2 2
0 2 0
2 2 0
10 7
0 2 1
1 0 2
2 3 2
2 3 0
0 1 3
1 2 1
1 0 1
3 3 1
3 3 0
0 0 2
10 6
1 2 1
0 1 0
2 2 1
1 1 2
2 1 2
0 2 2
1 1 1
1 2 2
0 0 0
0 0 2
10 4
2 3 2
1 0 3
2 1 3
3 3 2
2 2 2
3 1 3
3 0 3
1 1 3
0 0 0
0 3 2
10 7
2 1 0
1 0 1
2 2 1
2 0 0
1 2 0
1 1 2
2 2 2
0 0 2
1 0 2
2 0 1
10 7
1 1 2
3 1 2
2 2 1
0 1 2
1 2 0
1 3 0
3 0 1
1 2 1
1 3 3
1 0 2
10 7
2 1 0
2 0 2
2 0 0
0 1 0
2 1 2
1 2 2
2 0 1
1 0 1
0 2 1
0 2 0
10 7
1 3 2
0 0 2
1 2 0
1 0 0
0 1 2
1 0 2
2 0 3
2 1 2
2 0 0
2 3 0
10 3
1 2 2
0 0 2
2 1 2
1 2 0
1 0 0
2 0 2
0 0 0
2 2 2
0 1 2
2 1 1
10 2
0 3 2
1 2 3
2 0 0
1 3 2
0 2 2
0 1 2
3 2 0
2 1 0
2 3 1
0 3 0
10 8
1 0 3
0 1 1
1 1 1
2 2 0
3 0 2
2 3 0
0 1 2
0 3 1
1 3 3
0 0 0
10 4
2 2 0
0 2 2
2 1 1
0 1 1
2 0 1
1 2 0
0 0 1
0 2 1
2 1 2
0 1 2
10 9
0 2 2
0 1 2
2 2 1
1 2 1
1 0 1
1 2 2
0 0 0
2 1 1
1 1 1
2 2 2
10 6
0 0 3
2 2 1
3 1 1
0 0 2
2 0 2
0 3 0
0 2 3
1 3 2
3 2 0
3 3 1
10 3
0 0 2
1 0 0
3 2 0
1 1 2
0 2 2
1 0 1
0 2 3
2 0 0
0 0 1
2 3 3
10 5
0 2 1
2 1 0
1 1 2
1 2 1
1 0 2
0 2 2
2 0 1
1 0 1
0 1 0
2 1 1
10 2
0 2 2
0 1 0
1 0 0
1 0 2
2 2 2
0 1 1
0 0 0
1 2 0
0 1 2
1 1 1
10 9
0 0 1
2 2 0
0 1 1
1 1 0
2 0 2
0 0 0
1 0 0
2 0 1
0 2 2
1 0 2
10 2
0 0 1
2 2 0
1 1 1
1 0 0
2 1 1
1 2 2
1 2 1
0 1 0
2 1 2
1 1 0
10 9
1 0 1
2 2 1
2 1 2
2 2 0
0 2 0
1 2 2
0 1 2
2 1 0
0 0 0
1 1 0
10 7
1 2 1
1 0 2
0 1 0
1 0 1
2 1 1
1 2 2
0 2 0
2 0 2
1 0 0
2 2 1
10 9
2 0 2
2 2 2
0 1 2
1 1 0
0 0 1
1 1 2
1 0 1
0 0 2
2 1 0
0 2 0
10 9
0 0 2
1 0 2
2 2 1
0 0 1
0 1 2
2 2 0
1 1 0
2 0 2
1 1 1
2 1 0
10 5
0 2 0
2 2 3
2 1 3
1 3 3
1 2 1
1 0 2
1 2 0
2 3 0
1 0 1
3 2 1
10 2
2 1 0
0 0 0
1 2 0
1 1 2
2 2 1
1 2 1
1 0 1
1 1 1
2 2 0
1 1 0
10 7
0 3 3
3 1 0
1 0 0
1 3 2
1 0 3
3 3 2
3 2 3
0 3 1
1 3 0
2 1 2
10 2
3 3 1
3 0 2
0 3 1
2 1 3
1 2 3
3 1 0
2 3 0
3 2 0
2 0 3
2 0 2
10 5
2 2 1
0 0 0
2 1 1
2 2 2
2 0 2
2 2 0
0 0 1
1 0 1
1 0 0
1 1 2
10 9
1 1 0
2 0 2
1 2 0
1 0 2
1 0 0
2 1 2
0 2 1
2 2 1
1 2 2
0 1 0
10 2
2 2 2
0 0 2
1 0 1
1 0 0
2 1 0
1 2 2
1 2 1
2 1 2
2 0 0
0 1 2
10 9
2 1 1
1 1 0
1 2 1
0 1 1
2 2 0
1 2 2
2 0 2
1 1 2
2 1 0
2 0 0
10 4
1 2 2
2 1 3
3 0 2
2 3 2
0 2 2
3 1 1
0 1 3
3 2 1
2 3 0
1 1 3
10 4
0 2 0
1 2 2
2 0 1
0 2 1
1 2 1
2 1 2
0 0 0
2 0 2
0 0 2
1 0 1
10 8
3 2 0
1 0 3
2 0 0
1 0 2
0 2 2
3 1 0
1 1 3
1 1 0
3 2 3
0 1 2
10 6
0 1 1
2 1 0
2 0 1
2 2 2
0 1 0
2 0 2
1 0 0
1 0 2
2 1 1
1 2 0
10 3
1 0 2
0 0 2
3 2 0
1 0 3
2 3 2
1 2 0
2 0 1
2 1 3
3 3 0
3 2 3
10 3
1 1 0
0 0 2
0 2 2
0 0 1
1 2 0
1 2 2
1 2 1
1 0 0
2 1 1
2 2 1
10 4
3 3 3
1 1 2
2 3 3
0 0 0
3 2 0
1 3 0
2 2 3
3 0 3
1 1 3
3 0 2
10 2
1 0 2
3 1 3
2 2 2
2 1 0
0 2 1
1 1 1
3 0 0
1 2 1
3 3 2
3 1 0
10 6
0 3 2
1 1 3
3 2 0
1 3 2
3 3 0
3 3 1
2 1 0
3 3 3
0 0 0
3 1 3
10 9
0 3 2
3 1 0
3 2 3
0 1 1
0 0 0
1 2 2
3 1 2
1 3 3
0 1 0
1 3 0
10 3
3 3 3
1 0 1
1 3 0
3 0 0
2 0 0
1 1 0
0 3 3
1 3 2
0 0 0
1 3 3
10 8
1 1 0
2 0 1
1 1 1
2 2 1
0 0 0
1 0 0
2 0 0
2 1 2
0 0 2
0 0 1
10 8
0 2 0
1 2 2
1 0 0
2 1 1
0 1 2
1 0 1
0 0 1
2 2 2
1 1 0
2 0 2
10 3
0 0 3
1 3 1
2 2 1
0 1 3
2 0 3
3 2 0
0 3 3
1 3 0
1 1 1
3 3 0
10 2
1 2 0
1 3 2
1 1 1
2 1 2
2 1 3
0 2 0
2 2 3
2 3 1
2 2 1
1 1 0
10 8
0 2 2
1 0 0
2 0 2
0 0 2
2 1 1
0 1 2
0 0 1
1 2 0
2 2 0
2 0 1
10 7
0 1 2
1 0 0
0 1 1
1 1 0
2 2 1
2 0 2
0 0 1
1 0 1
0 2 2
0 0 2
10 9
3 0 1
2 3 1
0 1 1
3 0 2
0 3 1
0 0 1
1 1 1
1 0 2
2 1 2
1 3 1
10 9
0 0 0
1 2 2
2 0 0
2 0 1
3 2 3
1 0 0
3 3 2
1 3 1
0 3 2
3 2 2
10 4
0 0 0
1 2 2
0 2 1
2 2 0
2 0 1
2 1 0
2 2 2
0 0 1
1 1 0
1 2 1
10 9
1 2 1
3 1 0
0 1 1
0 1 3
2 2 3
3 3 2
0 3 0
0 0 3
3 2 2
0 0 1
10 6
2 3 1
1 0 1
1 3 3
0 0 1
2 0 3
2 2 1
1 1 3
3 0 2
3 1 1
0 1 1
10 3
1 1 1
2 2 0
0 2 1
1 1 0
2 0 1
2 1 1
0 1 1
2 2 2
0 2 0
0 1 2
10 5
1 0 1
1 3 0
1 0 2
0 1 0
3 1 2
3 3 1
2 2 0
3 2 2
0 1 3
1 2 1
10 5
1 0 0
0 2 2
2 0 2
0 1 0
2 1 2
1 1 0
1 2 1
2 0 1
0 0 2
1 1 1
10 6
0 3 2
3 3 0
1 0 0
1 2 0
2 0 3
3 2 0
2 0 2
0 0 2
3 1 2
3 3 1
10 2
0 3 2
2 2 0
2 3 1
2 0 1
0 3 3
2 1 1
2 0 0
3 2 3
1 3 2
2 0 2
10 4
2 2 0
0 1 1
1 2 2
1 1 1
0 2 0
1 0 2
1 2 1
0 0 1
0 1 2
2 1 1
10 6
0 2 2
1 1 1
0 0 1
1 1 0
2 0 0
0 0 0
2 2 1
2 0 1
0 1 0
2 2 0
10 7
0 1 1
2 1 0
1 1 1
2 1 1
2 2 0
1 1 2
1 1 0
2 0 2
0 1 2
2 2 2
10 4
1 3 1
3 3 3
3 2 3
0 1 3
3 3 2
0 1 2
3 3 0
3 0 1
1 1 1
1 1 2
10 9
2 0 2
2 0 0
1 0 2
0 2 0
0 0 1
1 2 2
1 1 2
2 2 1
1 1 0
1 2 0
10 9
1 0 2
2 2 1
0 1 2
2 0 0
2 1 0
0 1 0
2 2 0
0 0 1
1 0 0
2 0 2
10 3
1 1 1
0 1 2
2 2 2
1 1 2
2 2 1
0 1 3
2 3 3
1 2 2
1 2 1
0 2 2
10 9
1 0 1
1 0 2
2 2 1
0 0 2
2 0 2
2 0 1
0 1 0
2 1 1
1 2 2
1 0 0
10 3
2 1 0
3 1 0
1 1 2
3 2 0
0 0 1
3 3 1
1 1 1
2 3 0
2 2 0
3 3 3
10 6
0 0 2
0 0 1
1 3 2
1 1 3
3 3 1
3 2 3
3 2 2
1 3 3
1 2 3
1 1 1
10 8
0 2 0
0 3 1
0 0 0
0 3 3
3 1 0
1 3 0
0 2 2
1 3 1
2 2 1
1 1 0
10 5
2 1 0
3 0 3
2 0 3
1 2 1
3 3 3
3 1 1
0 1 0
3 3 0
0 0 3
3 0 2
10 7
2 0 0
2 1 0
3 2 2
0 2 2
1 2 3
0 3 3
0 1 3
2 0 3
2 2 3
0 3 1
10 5
0 0 1
0 1 0
1 2 1
1 1 0
1 1 1
1 0 0
1 0 2
1 2 0
2 1 1
2 0 0
10 3
1 1 0
0 2 0
1 0 0
0 0 0
1 1 2
1 0 3
0 2 2
2 3 1
0 3 0
3 0 0
10 5
3 3 1
0 1 0
0 3 0
0 1 1
1 2 1
1 1 3
1 2 0
0 0 1
0 2 0
0 2 2
10 5
2 2 1
0 2 2
0 2 0
2 1 0
1 2 0
1 1 0
0 1 1
0 1 2
2 2 2
2 2 0
10 6
2 2 0
0 1 2
1 2 2
0 2 2
1 2 0
1 0 2
1 0 0
0 1 0
2 2 2
2 1 2
10 2
3 0 2
3 1 1
3 1 0
0 1 1
1 0 1
1 0 0
0 0 1
1 0 2
2 3 1
0 3 3
10 2
3 1 2
0 1 3
2 0 0
1 0 3
0 1 1
2 0 1
2 0 3
3 3 2
3 1 3
1 2 2
10 9
1 0 0
0 2 1
0 2 2
2 2 2
2 0 1
1 2 0
2 2 1
0 0 0
1 1 0
2 0 2
10 2
1 2 0
3 1 0
1 3 3
0 2 1
1 1 2
2 1 0
0 2 2
3 2 1
0 1 0
1 1 1
10 4
0 2 1
2 1 2
2 0 2
1 1 2
0 2 0
2 2 1
2 0 0
1 2 0
1 0 2
0 1 1
10 9
2 3 2
2 1 2
3 1 2
0 2 2
3 1 3
1 2 2
2 0 1
1 3 2
0 1 3
1 0 0
10 2
2 0 2
2 2 0
2 1 0
2 0 0
1 2 1
1 2 2
1 1 2
0 1 2
0 1 1
2 1 1
10 6
0 3 2
2 3 3
2 0 3
3 3 0
2 2 2
1 3 0
2 0 2
0 3 0
3 0 1
3 0 3
10 9
1 1 1
0 0 0
2 0 0
0 2 1
2 2 1
1 1 2
2 2 2
0 0 1
0 1 2
1 2 2
10 5
2 1 1
2 0 0
1 1 0
0 2 2
1 0 2
0 2 1
1 2 2
2 2 1
0 0 0
1 0 0
10 6
0 0 0
1 3 0
2 2 2
0 2 2
2 1 2
3 1 2
0 0 1
3 1 0
3 1 1
1 2 3
10 5
0 0 1
2 1 1
1 1 2
1 0 2
2 0 0
2 0 1
2 1 0
0 2 0
1 2 1
2 2 0
10 4
1 2 1
1 1 1
1 2 0
0 2 2
2 1 0
2 0 2
2 2 1
0 2 0
2 0 1
2 2 2
10 9
0 2 2
2 3 1
0 0 1
0 1 0
3 2 0
3 3 0
1 3 1
3 2 3
2 3 2
1 2 0
10 5
1 2 2
2 2 2
2 1 1
2 1 0
1 2 0
0 0 2
2 0 1
2 1 2
1 1 2
1 1 0
10 3
0 1 2
1 1 0
1 2 1
0 0 1
2 0 2
1 1 1
2 1 0
0 2 0
0 2 2
0 2 1
10 3
2 0 2
2 2 0
1 0 0
2 0 0
2 1 2
1 0 2
0 0 0
2 0 1
0 2 1
0 1 1
10 4
0 1 3
2 3 2
0 3 3
1 3 1
3 2 0
1 0 1
3 2 3
3 3 2
1 1 2
2 2 3
10 4
1 2 0
0 1 1
2 2 1
1 2 1
1 0 2
2 0 2
1 2 2
0 0 0
1 1 2
2 0 1
10 8
0 0 0
2 2 1
1 1 1
1 2 1
2 0 2
0 1 0
2 2 2
2 1 2
1 1 0
0 0 1
10 8
0 1 0
1 2 1
0 2 0
1 1 0
0 0 0
2 2 0
0 2 1
2 1 2
0 1 2
0 0 2
10 6
0 2 2
2 3 3
2 2 2
1 0 1
2 0 2
1 3 0
1 3 1
3 0 3
1 3 3
2 0 0
10 3
1 1 2
2 0 2
1 1 0
1 2 2
1 2 0
2 0 0
1 0 1
0 1 1
2 1 2
2 2 0
10 9
0 3 2
1 0 1
0 1 3
0 2 2
2 1 1
0 1 1
2 0 3
1 2 3
1 3 2
3 2 3
10 2
3 2 3
3 2 1
0 0 2
3 0 0
3 1 0
1 0 0
3 3 3
3 1 3
1 1 3
0 3 3
10 4
3 1 2
2 2 3
0 0 2
2 2 2
3 1 0
1 3 2
3 3 3
2 1 2
3 0 0
2 1 0
10 7
0 2 0
2 1 0
1 1 0
1 2 2
0 2 2
2 2 1
0 1 0
0 0 2
0 0 0
1 0 1
10 7
1 0 2
2 1 0
2 1 3
0 2 0
3 2 2
3 2 3
2 2 1
1 2 0
1 2 3
2 2 3
10 2
2 1 0
2 0 1
2 0 0
1 1 0
0 1 2
1 1 1
0 0 1
1 2 2
0 1 0
0 0 2
10 3
2 2 1
0 0 1
0 2 2
1 0 2
1 1 2
2 1 0
2 2 0
0 0 0
1 0 0
1 1 1
10 5
1 1 2
2 0 3
0 0 0
2 1 0
3 1 2
0 1 1
1 3 3
1 2 1
2 2 3
0 3 3
10 3
0 0 1
2 1 1
1 1 2
3 3 1
2 0 2
2 1 3
2 2 2
3 0 3
2 1 2
1 2 3
10 8
2 0 1
1 0 1
2 1 1
0 2 2
1 1 0
2 2 2
1 0 0
0 2 1
1 2 2
0 2 0
10 4
0 2 2
2 3 1
2 0 1
3 1 1
3 1 0
1 2 0
1 2 1
0 3 0
0 1 0
3 3 3
10 5
1 2 3
0 0 1
1 0 2
3 0 3
2 2 3
0 2 3
3 3 0
0 3 3
3 1 0
2 0 2
10 6
3 1 2
2 0 0
1 2 0
3 0 2
2 2 0
0 2 3
2 3 1
2 3 2
3 2 2
1 3 0
10 6
0 0 2
1 3 1
0 3 3
1 0 1
3 1 3
2 3 0
3 3 2
2 3 1
1 2 0
3 1 2
10 2
1 1 1
0 0 1
2 0 2
0 1 1
2 1 1
0 1 0
2 2 0
1 2 1
1 0 1
2 2 2
10 2
2 0 1
2 3 2
0 3 2
3 2 2
3 3 1
2 1 3
1 1 2
2 3 1
3 0 1
1 0 2
10 9
3 3 1
0 3 1
0 0 3
0 0 2
3 0 2
3 1 3
2 3 3
0 3 3
1 1 3
2 1 3
10 3
1 2 2
2 0 0
0 2 2
1 2 0
2 0 3
0 3 1
3 3 0
1 3 2
2 2 2
3 2 3
10 8
1 1 1
0 0 1
1 1 0
0 1 0
0 2 1
2 2 1
0 1 2
0 1 1
1 2 0
0 0 2
10 8
2 1 0
2 1 1
0 0 0
0 1 2
2 2 2
0 0 2
1 2 2
2 2 0
0 1 0
2 0 0
10 3
3 3 2
0 1 0
2 3 0
1 2 3
0 3 0
3 2 1
0 1 1
2 1 2
3 1 0
2 2 1
10 6
1 1 1
2 2 2
1 2 2
1 0 2
0 1 0
0 2 1
2 1 2
0 1 2
2 1 1
0 0 0
10 5
1 0 3
1 0 0
3 2 1
1 1 3
3 3 1
0 3 3
1 1 0
3 2 2
0 3 2
2 2 0
10 9
1 2 2
0 1 2
2 2 1
1 0 2
0 2 2
1 2 0
1 1 1
0 0 1
1 2 1
0 0 0
10 2
0 2 1
2 1 2
1 0 2
2 0 0
1 2 0
1 0 0
1 1 0
1 0 1
0 1 1
2 2 1
10 8
2 3 3
3 2 3
1 3 1
1 0 2
1 1 1
2 0 1
3 0 1
0 2 2
2 1 0
0 2 0
10 2
1 1 0
2 2 2
3 0 2
3 3 3
1 3 3
0 1 0
1 2 0
2 1 0
3 2 0
0 2 3
10 3
1 1 1
1 0 2
2 2 2
0 1 0
1 1 0
2 1 1
0 2 0
2 0 1
2 2 0
2 2 1
10 7
2 0 1
0 1 1
2 2 0
1 2 2
0 1 2
0 2 1
1 2 0
0 0 0
1 0 1
0 2 2
10 6
2 0 3
2 2 2
1 3 1
3 2 3
2 1 2
0 2 3
3 0 3
3 2 2
0 3 1
1 3 0
10 4
0 2 1
0 1 0
2 0 0
1 1 0
1 1 1
2 1 1
0 0 2
2 2 0
0 1 2
2 0 1
10 8
3 3 2
3 2 1
1 3 1
1 2 0
0 1 2
0 3 2
0 0 1
2 3 3
1 3 3
1 1 2
10 2
1 0 2
0 1 1
1 2 2
0 2 2
2 2 1
1 1 2
1 0 1
0 0 0
2 2 2
1 2 0
10 2
2 2 2
0 3 3
0 3 0
0 0 2
2 3 2
3 0 0
3 3 1
1 3 2
1 1 2
2 2 1
10 9
0 1 2
0 0 2
0 1 1
1 1 1
1 1 2
2 1 2
0 0 0
0 2 0
0 2 1
1 2 2
10 8
1 1 0
0 1 2
2 0 0
1 0 3
0 1 3
3 2 0
3 0 3
3 0 0
3 3 3
2 1 0
10 9
1 0 2
1 3 0
2 0 0
2 3 1
2 3 0
3 1 2
0 0 3
0 3 3
0 1 1
2 0 1
10 6
2 2 2
2 1 3
1 1 1
2 2 3
1 1 0
2 2 1
3 2 1
3 0 2
2 2 0
0 2 1
10 3
0 0 1
2 0 0
2 1 2
1 2 2
2 0 1
1 1 0
0 2 2
0 1 1
2 2 2
2 2 0
10 6
2 1 0
1 1 0
1 2 2
1 2 1
1 0 2
0 1 2
1 1 1
2 2 1
2 1 1
0 1 1
10 4
0 1 0
2 0 0
2 1 1
1 0 2
1 2 0
0 0 2
2 2 1
2 1 0
0 0 0
0 0 1
10 8
3 0 3
3 3 0
0 3 2
0 2 0
3 1 2
0 0 3
2 3 3
0 2 1
2 3 2
2 0 0
10 4
2 0 3
1 1 2
3 3 0
3 0 1
0 2 1
1 0 0
1 3 2
0 0 3
2 1 0
2 0 2
10 9
0 0 3
2 0 2
2 1 1
2 2 3
1 1 3
0 3 3
3 3 1
3 3 0
2 0 1
1 3 0
10 5
0 1 0
2 1 2
2 2 0
0 2 1
2 2 2
2 0 0
1 2 2
2 1 1
0 0 0
0 0 2
10 5
1 2 0
2 0 1
2 2 2
0 2 2
1 1 1
0 2 0
1 1 2
0 1 1
0 0 2
1 1 0
10 9
1 2 0
0 0 1
1 0 1
1 1 0
1 1 2
1 2 2
1 1 1
2 2 1
2 0 1
2 2 2
10 7
2 3 2
1 1 0
2 0 2
1 0 0
2 1 1
2 2 3
0 1 2
1 3 2
0 0 2
1 1 2
10 6
1 2 1
0 0 1
0 1 0
1 1 0
1 0 2
2 1 1
0 0 2
2 0 2
1 0 1
2 2 1
10 6
2 0 0
1 1 1
0 0 1
2 2 1
2 1 2
0 0 0
2 1 0
2 2 0
1 1 2
1 2 1
10 5
2 3 0
3 2 2
3 2 1
0 1 0
0 3 1
0 2 0
2 1 2
2 3 3
0 1 3
2 1 0
10 8
0 1 1
3 2 0
3 1 0
3 2 1
2 2 0
1 0 0
0 3 3
2 1 1
1 0 3
1 2 1
10 7
0 3 0
0 0 3
2 2 1
3 0 0
3 3 3
2 1 1
0 3 2
1 1 2
2 2 2
2 3 1
10 6
0 2 0
2 1 0
1 2 2
1 2 0
0 2 1
2 1 1
2 1 2
0 0 1
2 0 1
2 2 0
10 7
1 0 3
2 3 0
3 1 1
1 3 3
2 0 1
1 1 0
3 3 2
1 2 3
0 0 1
3 1 3
10 2
1 0 1
1 2 2
1 2 0
2 1 1
2 2 1
2 0 1
1 1 2
1 2 1
1 0 2
0 1 0
10 3
0 1 0
1 2 0
2 1 2
1 0 1
0 1 1
0 0 2
0 2 1
2 1 1
0 1 2
1 0 2
10 2
1 1 1
1 0 1
1 2 2
2 0 1
0 2 0
0 2 2
0 2 1
0 1 2
1 2 0
1 1 0
10 3
1 1 1
2 2 0
2 0 1
2 2 1
1 0 1
0 0 2
0 2 2
1 0 0
0 0 0
2 1 0
10 8
2 0 3
1 3 0
3 2 2
0 2 1
3 2 0
1 1 1
3 3 2
2 1 1
3 1 0
3 1 3
10 4
3 0 0
1 1 1
2 1 1
2 0 0
2 0 1
2 2 1
2 3 2
2 2 3
2 0 3
3 3 2
10 3
0 0 0
1 1 0
0 1 0
1 1 1
0 1 2
0 1 1
0 2 1
1 2 0
2 1 2
0 0 2
10 3
0 0 1
2 2 0
0 2 0
1 1 0
0 1 2
1 2 0
1 1 2
1 2 2
2 1 1
1 0 2
10 3
0 0 2
1 2 3
2 3 2
1 0 2
1 1 3
1 0 0
3 0 3
0 0 1
0 1 1
2 1 0
10 3
1 0 2
0 0 0
0 0 2
0 2 1
2 2 1
0 2 0
1 0 1
0 2 2
1 1 2
0 0 1
10 8
1 0 1
1 2 2
2 2 1
1 1 1
1 0 0
1 1 0
2 0 0
0 2 0
2 1 0
0 0 0
10 3
3 0 1
1 1 3
2 1 2
3 0 0
0 3 1
0 0 0
2 2 1
1 2 2
1 0 0
3 2 1
10 4
2 2 3
3 0 0
3 1 1
1 2 1
2 1 0
2 1 1
3 2 0
1 1 1
0 2 2
2 3 2
10 8
2 3 0
0 1 0
3 3 1
1 0 0
2 3 1
3 2 0
0 3 3
3 1 3
1 0 1
3 1 1
10 5
2 3 3
0 2 2
0 2 3
1 1 0
3 0 3
0 1 1
2 0 1
1 0 0
0 3 1
3 2 1
10 6
2 0 1
0 1 0
0 1 2
1 2 0
0 1 1
2 0 0
1 2 2
2 1 2
0 0 2
1 1 1
10 5
3 0 3
2 0 0
0 2 1
0 3 1
0 0 3
2 0 3
3 2 1
2 1 3
0 2 3
1 3 1
10 7
0 2 0
0 0 2
2 2 1
2 0 2
2 1 1
2 2 0
1 0 0
2 1 0
2 0 0
0 1 1
10 6
1 2 2
2 2 1
2 1 1
2 0 2
2 2 0
0 2 2
0 1 2
0 0 2
1 0 0
1 0 1
10 9
1 0 1
1 1 0
2 1 2
2 1 0
1 1 2
1 0 0
0 0 0
0 1 1
1 0 2
2 2 0
10 5
2 0 2
2 2 1
2 0 1
0 0 2
1 1 0
2 2 0
1 0 1
0 0 0
1 1 1
1 2 1
10 2
3 1 0
1 1 0
1 3 1
1 3 3
1 0 2
2 2 1
2 3 3
2 3 2
2 2 3
1 1 2
10 9
2 0 2
1 2 2
1 0 0
1 2 1
2 0 1
0 0 0
0 0 1
0 2 0
0 1 0
2 2 1
10 7
1 1 2
0 0 1
2 0 1
1 0 1
0 1 0
1 1 1
2 1 2
0 0 2
2 2 2
2 2 1
10 8
0 0 0
1 1 1
0 1 0
0 2 0
2 0 1
0 0 2
1 2 1
1 1 0
2 0 0
1 0 0
10 8
2 0 2
0 2 1
0 0 1
1 2 2
0 0 0
2 0 1
2 1 0
1 1 2
0 0 2
1 2 0
10 3
0 2 1
0 2 2
1 2 1
1 1 2
0 1 2
1 2 0
0 0 0
2 1 0
0 0 1
1 0 2
10 9
1 2 1
3 2 3
3 0 0
0 1 0
1 2 3
3 3 1
3 1 1
3 0 2
2 3 0
1 1 1
10 9
1 2 2
1 1 2
1 0 1
1 1 1
0 2 2
2 1 0
0 1 1
0 1 2
0 0 0
2 0 1
10 2
3 1 0
2 0 2
1 3 0
0 3 3
1 1 1
0 2 3
0 0 1
0 1 1
2 2 3
1 0 1
10 3
1 2 2
3 2 0
1 1 1
1 0 0
1 0 2
3 2 1
1 2 1
0 1 0
3 3 3
0 3 3
10 6
0 2 1
2 1 1
0 1 0
2 0 1
0 1 2
2 2 1
0 2 2
2 0 0
2 2 0
1 2 1
10 9
2 0 2
0 0 0
0 0 2
2 0 0
1 2 1
1 2 2
0 1 2
2 0 1
2 1 2
1 0 1
10 3
3 2 2
3 3 2
2 3 2
2 2 0
1 2 3
3 1 3
3 3 3
2 0 3
3 2 3
2 3 0
10 2
1 1 1
0 3 0
3 3 0
0 1 1
0 1 2
1 0 3
0 0 3
2 3 0
1 0 0
1 1 0
10 3
3 0 2
2 3 2
0 0 1
0 3 2
0 0 0
2 1 2
2 2 0
3 2 3
2 0 2
0 2 1
10 5
2 2 3
0 1 3
0 0 2
1 3 3
3 3 0
3 1 3
2 0 0
2 0 1
3 0 2
2 3 3
10 6
0 2 1
1 1 2
2 2 1
2 2 0
0 1 0
1 2 0
1 1 1
1 2 2
1 1 0
2 2 2
10 3
2 1 2
1 2 1
0 1 2
1 1 2
0 1 0
2 1 0
1 1 1
1 2 0
2 2 1
2 2 2
10 8
1 3 2
0 3 0
1 1 3
1 0 3
2 2 2
2 1 3
3 0 0
2 3 2
2 1 2
3 3 2
10 6
0 3 1
3 3 2
1 2 1
2 3 1
1 3 0
3 2 0
0 0 3
2 1 1
1 1 3
2 0 1
10 9
2 1 1
0 0 0
2 1 0
0 1 2
1 2 2
2 2 2
2 0 1
0 0 2
2 1 2
2 2 1
10 7
1 2 1
0 1 1
1 0 2
2 0 1
1 1 1
1 0 0
2 2 2
0 0 0
2 0 2
2 2 1
10 4
3 3 3
3 2 2
2 1 2
1 0 2
0 0 1
0 1 1
1 1 3
1 3 0
1 3 2
1 1 0
10 6
1 1 2
3 0 0
1 0 2
1 1 3
1 1 1
3 3 1
0 1 0
0 2 2
3 3 3
2 1 0
10 2
0 2 1
1 1 0
1 1 3
0 3 1
3 2 0
2 2 2
3 3 0
2 3 0
0 1 1
3 3 1
10 9
1 1 0
1 1 1
0 1 1
2 2 0
0 0 0
0 1 0
1 1 2
1 0 0
0 2 0
0 0 1
10 6
1 2 2
2 1 0
0 1 1
1 2 1
1 0 2
2 2 2
2 2 1
0 2 1
0 0 2
0 2 2
10 9
3 1 3
1 3 3
0 2 0
0 2 2
1 0 1
0 1 0
1 1 0
2 0 2
2 1 1
3 0 2
10 7
1 1 2
2 2 1
2 0 1
0 1 1
0 2 2
0 1 0
1 1 1
1 0 0
0 2 1
1 2 1
10 4
2 1 0
1 0 0
1 1 0
2 2 2
0 0 0
0 2 1
2 1 1
1 0 1
0 0 1
1 0 2
10 5
1 0 2
1 1 1
0 0 0
2 0 2
0 2 2
1 0 1
0 2 1
1 0 0
1 2 1
0 1 0
10 8
3 3 1
3 1 2
3 0 0
2 0 3
2 3 1
3 2 0
1 0 3
1 0 2
1 1 3
1 0 0
10 3
2 0 0
2 1 1
0 0 1
1 1 0
0 1 1
1 0 1
0 2 1
0 2 0
2 2 1
2 1 2
10 7
1 2 2
1 0 2
1 2 0
2 0 0
1 2 1
1 1 2
0 1 1
0 2 1
2 0 1
2 1 2
10 3
2 3 2
0 1 2
2 3 1
3 0 2
1 1 0
2 2 1
2 1 3
0 2 1
1 0 0
2 2 0
10 6
1 0 2
1 2 0
1 1 1
0 1 2
1 1 0
1 0 1
2 2 0
0 2 1
0 0 2
2 0 0
10 7
2 2 2
1 2 2
1 1 0
1 1 1
2 0 3
0 0 1
0 1 2
1 3 3
2 3 2
1 2 1
10 9
2 2 0
1 1 2
0 0 2
0 2 2
1 2 0
0 2 0
0 0 1
0 1 0
1 2 2
1 1 1
10 4
0 2 1
2 3 0
0 0 1
0 0 2
1 1 0
3 3 1
1 0 3
1 2 0
0 3 2
3 1 2
10 7
1 1 1
0 1 2
2 0 1
0 2 2
1 1 0
1 0 1
1 1 2
2 1 2
1 0 2
0 0 0
10 5
1 1 2
1 2 2
0 1 2
2 2 0
1 0 2
0 2 2
1 2 1
1 0 0
1 1 0
2 2 2
10 8
2 1 2
0 3 2
0 3 3
0 1 0
3 2 2
3 0 2
0 0 1
3 1 0
3 1 1
1 2 3
10 6
0 0 2
1 1 2
1 0 1
2 0 0
0 0 1
1 0 0
1 2 0
1 1 1
0 1 2
2 0 2
10 5
1 2 1
1 0 2
2 0 1
2 1 1
2 2 0
0 2 1
1 0 1
1 1 0
2 1 2
2 0 2
10 6
1 2 2
0 2 2
1 1 0
0 2 0
1 0 0
0 1 2
0 0 0
0 0 1
2 2 1
1 2 0
10 6
2 3 0
3 1 2
1 1 2
2 0 2
0 0 1
2 2 0
1 3 0
1 1 3
2 1 3
0 2 1
10 9
1 1 2
2 0 1
0 1 1
1 1 0
1 2 2
2 0 2
2 2 1
0 0 0
0 1 2
1 2 0
10 6
2 2 2
0 1 0
0 0 1
1 0 0
1 1 2
0 1 2
2 1 0
0 2 0
1 0 2
1 0 1
10 2
2 1 1
1 2 0
3 0 1
2 2 1
3 1 3
3 0 3
0 3 2
2 1 3
2 0 3
0 2 2
10 4
3 0 0
2 2 1
3 3 1
3 0 3
0 0 1
2 0 2
1 2 1
2 1 2
1 1 2
3 0 2
10 2
0 1 2
0 0 2
2 2 1
1 0 0
2 0 1
1 0 2
1 1 0
0 1 1
0 2 1
2 0 2
10 5
0 3 1
3 2 0
1 0 2
2 3 3
2 0 1
0 1 1
3 0 0
3 2 3
2 2 3
3 1 0
10 6
0 2 0
0 1 1
0 2 2
0 2 1
1 2 1
1 0 0
1 1 0
2 0 0
2 2 1
1 1 1
10 9
0 2 0
1 1 1
2 1 0
2 0 0
0 2 1
2 2 1
0 1 1
2 2 2
0 0 1
2 1 1
10 7
3 3 1
3 2 0
1 1 3
1 1 1
1 2 3
3 3 3
3 2 2
1 3 3
3 0 1
3 1 2
10 2
1 2 2
2 0 1
0 1 0
1 0 0
1 2 0
0 2 2
1 2 1
2 1 2
1 0 2
0 0 0
10 3
0 2 0
0 1 0
1 1 2
0 0 2
1 2 1
2 2 1
0 2 2
2 2 0
1 0 2
2 0 0
10 5
1 3 2
0 2 2
0 3 1
1 2 2
2 0 1
2 2 1
3 2 3
3 3 1
3 2 0
1 0 3
10 5
0 2 2
2 1 0
0 2 0
0 0 1
2 1 1
2 0 1
2 1 2
2 2 2
1 0 1
0 0 0
10 3
1 1 0
1 1 2
3 1 1
0 2 1
1 0 2
2 3 0
3 2 2
1 1 1
2 0 3
3 3 0
10 8
1 3 0
1 1 3
2 0 3
0 1 2
3 3 2
0 2 3
1 1 2
0 1 1
3 0 3
3 1 0
10 3
1 2 0
2 1 1
0 0 2
1 3 3
3 3 2
3 3 1
2 3 1
2 3 0
1 0 1
3 0 2
10 9
1 3 2
3 2 1
1 3 3
2 3 0
0 2 0
1 2 0
2 3 3
2 0 0
3 3 3
1 1 1
10 7
2 3 3
0 3 2
1 2 1
2 2 0
1 0 3
0 3 0
1 1 1
3 0 1
0 1 0
2 0 0
10 8
2 3 0
1 1 2
3 2 3
1 3 3
0 0 1
0 3 3
3 2 2
1 0 2
2 0 3
2 1 0
10 5
1 1 1
2 1 2
2 1 0
2 1 1
2 2 0
0 2 1
1 2 2
0 1 0
1 2 0
1 0 2
10 7
3 0 1
1 0 2
0 3 0
1 1 1
2 0 0
3 2 0
0 3 1
2 0 2
3 3 1
1 2 1
10 3
2 2 2
0 2 1
1 1 2
0 3 1
3 1 1
1 1 3
3 0 3
3 3 3
0 3 3
2 1 1
10 5
0 2 0
1 0 1
1 2 0
2 1 1
0 1 2
0 1 0
0 0 2
2 0 1
1 0 0
0 0 0
10 3
2 1 3
1 0 3
3 1 2
3 3 0
1 1 3
3 0 2
2 3 3
3 1 3
3 2 0
2 0 3
10 4
1 1 2
2 0 0
1 2 1
0 1 1
1 2 2
2 0 2
1 1 0
0 2 2
2 1 0
0 0 1
10 5
0 3 1
3 2 1
3 2 2
0 0 3
0 0 2
2 1 1
2 2 0
3 3 0
1 0 3
3 0 1
10 6
0 0 1
0 1 0
0 2 2
2 2 0
2 0 1
1 1 1
1 2 0
0 2 1
2 2 2
2 1 1
10 4
3 3 1
0 2 2
2 1 2
3 3 3
1 1 2
3 2 2
2 0 3
1 0 2
0 2 0
2 1 0
10 3
2 2 1
0 2 0
0 1 1
2 2 2
2 1 1
2 1 2
0 0 0
1 2 2
1 1 2
2 0 1
10 5
3 0 1
1 0 3
2 3 0
2 1 1
1 2 2
3 2 2
3 1 0
1 0 0
0 1 1
0 1 3
10 9
1 3 3
2 0 2
1 3 1
2 3 0
3 0 1
1 1 1
3 1 2
0 0 0
0 1 0
3 3 3
10 9
0 0 1
0 2 0
1 0 1
1 1 2
0 1 2
1 0 2
1 1 0
2 2 0
1 2 2
1 2 1
10 6
1 0 1
2 0 0
0 2 2
0 2 1
0 2 0
2 2 0
0 1 0
0 1 1
2 2 2
2 0 2
10 9
0 2 3
2 1 3
1 0 3
2 2 3
3 1 3
2 3 0
0 3 1
1 1 0
1 1 3
0 3 0
10 9
1 0 2
2 2 2
2 2 0
1 1 0
1 0 0
1 1 2
0 2 2
1 1 1
0 1 0
1 2 1
10 4
2 2 3
2 1 2
0 1 0
1 3 2
1 0 0
3 3 2
0 3 2
3 2 1
0 2 2
2 2 2
10 5
2 0 2
0 1 2
1 1 2
2 1 0
1 0 1
0 0 1
1 1 1
1 2 1
2 0 1
2 1 2
10 2
0 2 1
1 2 2
1 1 0
2 2 1
1 0 2
2 1 2
2 0 2
1 0 0
1 1 1
2 0 0
10 5
2 0 1
0 1 2
1 1 1
0 0 2
2 2 2
0 0 1
2 1 2
1 1 0
1 2 1
1 0 2
10 2
1 2 2
1 2 3
0 3 3
2 1 3
1 3 3
2 1 1
1 3 1
2 1 0
3 1 1
3 2 3
10 6
0 1 0
2 2 2
0 0 2
0 2 1
1 0 1
0 0 1
0 0 0
1 2 0
1 0 2
1 1 2
10 5
1 2 0
0 0 2
1 0 0
1 0 1
0 2 2
0 1 0
1 1 1
0 0 0
2 2 0
0 1 1
10 8
1 2 1
1 0 2
2 0 1
0 1 2
0 0 0
1 1 1
1 0 1
2 1 1
1 2 2
1 1 0
10 8
0 2 2
2 2 2
1 0 1
1 1 1
1 0 2
2 0 1
0 1 0
0 2 0
2 1 2
0 0 1
10 7
1 1 1
2 1 1
0 2 2
0 1 3
2 2 1
3 0 2
1 1 2
1 0 2
3 3 3
1 3 0
10 9
1 1 2
1 2 2
2 2 2
2 2 0
2 1 0
0 0 1
0 1 1
1 1 0
2 0 0
2 0 2
10 9
1 0 3
3 1 2
2 2 2
1 1 0
1 3 0
0 0 0
0 0 1
1 2 3
2 0 2
0 2 1
10 9
1 3 2
2 3 0
3 1 1
3 2 0
3 2 3
3 3 1
2 0 0
2 3 2
0 1 1
3 0 2
10 4
0 0 0
3 0 1
0 3 3
2 1 2
1 3 1
1 0 0
2 0 2
2 3 2
2 1 0
0 1 3
10 7
0 2 2
2 1 0
1 0 1
0 0 2
1 0 2
1 1 2
2 2 2
1 0 0
0 1 1
2 0 2
10 3
0 2 1
1 0 2
0 0 0
1 0 1
2 0 1
2 2 2
1 2 0
1 0 0
0 1 0
1 2 2
10 4
3 0 2
0 1 0
2 3 1
1 2 2
0 1 2
3 3 1
2 1 1
1 2 1
0 0 2
0 2 1
10 5
0 2 1
1 2 0
1 1 1
1 2 2
1 0 0
1 0 2
2 1 0
1 1 2
2 2 2
0 2 0
10 3
0 2 1
1 2 1
2 2 2
2 1 2
0 0 0
2 2 0
2 2 1
2 0 0
0 1 0
1 0 0
10 9
0 0 1
1 1 0
1 0 0
3 0 2
2 1 0
3 1 3
1 1 3
3 1 2
1 3 1
2 0 3
10 6
3 1 2
2 3 0
1 0 0
3 1 0
0 0 1
3 1 3
3 0 2
0 0 2
2 2 2
0 3 0
10 4
1 2 2
0 2 2
1 2 0
0 2 0
1 1 2
1 0 2
2 2 0
2 1 1
1 1 0
0 0 0
10 5
3 3 3
2 2 0
1 3 3
1 0 3
0 3 0
3 2 2
0 2 2
3 2 1
1 1 1
1 2 1
10 9
0 1 2
2 2 2
2 0 0
1 0 1
0 1 1
1 1 0
1 0 2
2 2 1
1 2 0
0 1 0
10 9
2 0 0
2 1 0
2 1 2
3 3 0
1 3 1
1 0 0
0 3 1
3 0 1
1 1 3
3 3 1
10 5
2 2 1
0 0 2
1 0 0
1 2 2
2 2 0
1 1 0
2 0 2
0 2 2
0 1 0
0 1 2
10 9
1 0 0
2 0 2
0 1 1
2 0 1
0 0 1
0 0 2
1 1 2
1 1 1
0 2 0
0 2 2
10 2
1 2 3
2 0 1
2 0 3
0 2 1
2 2 3
0 1 1
3 0 2
1 0 2
0 3 2
2 3 3
10 8
1 1 1
2 0 0
0 2 0
0 1 1
1 2 1
2 2 0
0 0 0
2 1 2
0 2 2
1 0 0
10 4
1 1 0
1 0 2
0 2 1
0 1 0
1 2 0
0 0 1
2 0 2
0 0 0
1 2 2
2 0 0
10 9
2 0 2
1 1 1
0 2 2
1 0 2
2 1 0
0 0 2
0 2 1
2 1 1
0 0 1
1 1 2
10 3
0 3 0
3 3 2
1 1 1
1 3 0
1 0 1
2 1 3
0 2 1
0 3 2
1 1 3
3 3 3
10 2
2 0 1
1 1 0
1 0 0
0 2 2
2 2 2
1 1 2
0 2 0
1 0 1
2 0 0
1 0 2
10 8
2 1 1
0 3 3
1 2 0
2 2 0
2 2 1
1 1 0
0 1 1
1 0 1
1 3 2
2 0 3
10 3
1 2 0
0 2 1
2 1 0
0 0 1
0 2 0
1 0 0
1 1 0
0 2 2
2 0 2
1 0 1
10 2
1 0 1
2 0 2
1 0 0
0 0 0
3 2 2
2 0 0
2 2 0
3 0 2
2 0 1
0 3 2
10 6
1 2 1
2 0 0
3 1 1
1 3 1
1 1 3
1 3 0
2 3 1
1 2 2
0 3 3
0 3 1
10 8
3 1 1
0 3 0
2 1 1
2 3 0
3 0 1
1 1 0
2 0 1
2 1 0
1 1 1
0 2 3
10 8
3 1 2
0 3 0
2 2 2
3 1 0
2 0 1
0 0 0
3 3 0
3 2 2
1 1 1
2 1 1
10 2
0 2 1
2 0 0
0 0 1
0 0 2
0 2 0
1 0 0
2 1 2
0 1 1
1 1 2
0 1 0
10 9
1 2 2
3 1 0
1 2 1
2 0 3
2 0 0
0 3 3
1 1 0
2 2 3
0 0 2
2 1 0
10 9
1 1 1
0 0 0
2 2 0
2 0 2
2 0 1
0 1 1
1 1 2
1 1 0
1 2 1
2 1 1
10 4
3 2 2
2 0 3
0 0 0
0 3 2
1 3 1
3 1 3
1 0 0
3 1 1
0 2 0
3 3 1
10 5
0 0 1
2 2 1
2 2 0
1 1 2
0 2 2
2 1 1
1 0 2
2 2 2
1 0 0
0 0 0
10 4
1 0 1
1 1 1
2 0 0
2 1 2
0 2 0
0 1 1
0 2 2
0 2 1
0 0 2
0 0 0
10 8
0 0 2
0 2 0
1 1 2
1 0 1
0 1 0
0 0 0
2 2 0
2 0 0
2 0 1
1 0 0
10 9
0 2 2
1 3 2
1 0 1
2 0 3
0 2 0
0 1 2
2 1 0
1 1 1
0 1 1
3 3 3
10 7
2 0 1
1 0 1
0 0 0
1 2 2
0 2 0
2 1 2
1 2 0
0 1 2
1 2 1
2 2 2
10 8
2 3 0
2 1 1
0 0 0
2 0 0
1 0 2
3 0 3
1 2 3
2 3 2
0 2 0
2 0 2
10 8
2 2 1
1 1 1
2 1 0
2 2 0
0 2 1
0 1 1
2 0 2
1 2 1
1 2 0
1 0 2
10 6
0 2 1
1 0 0
1 2 1
2 1 2
1 2 2
1 0 1
1 1 0
2 0 1
2 0 0
2 2 0
10 6
0 1 0
1 2 0
1 0 0
2 0 1
2 1 1
2 2 0
2 2 1
1 1 2
0 2 1
0 1 1
10 7
3 2 0
0 3 0
0 1 3
3 1 2
3 0 1
1 1 1
2 1 3
0 1 2
3 1 3
0 2 2
10 6
0 0 0
1 1 3
2 2 3
3 1 3
3 0 1
1 3 1
0 0 3
1 0 1
1 3 0
0 1 2
10 9
2 1 1
0 0 2
1 2 0
0 1 2
2 0 2
2 0 1
0 0 1
1 1 0
2 2 0
2 0 0
10 6
1 0 3
1 0 2
2 3 3
1 2 3
2 3 1
3 0 2
1 0 0
3 3 2
0 3 1
3 1 0
10 9
1 1 0
2 3 3
0 2 1
1 0 0
2 2 1
2 2 3
1 1 2
1 0 1
3 1 0
2 0 0
10 5
0 1 1
1 1 0
2 0 1
1 2 2
1 0 1
1 0 0
2 2 2
2 0 0
1 1 2
2 2 0
10 7
1 2 1
2 2 0
1 0 2
2 2 2
2 1 2
2 1 0
2 0 2
1 1 1
0 2 0
1 2 0
10 2
3 1 2
1 2 1
1 2 3
1 0 1
3 2 2
2 1 1
3 1 0
1 0 2
3 3 2
0 2 0
10 6
3 0 1
3 0 2
2 2 0
3 1 0
0 2 1
0 0 3
2 2 3
3 1 3
0 2 2
1 1 3
10 2
2 2 0
2 0 2
1 2 1
3 0 2
0 2 0
1 1 2
3 3 3
2 2 1
0 3 3
2 3 2
10 6
1 3 3
0 0 3
2 3 3
1 0 0
3 2 1
1 3 2
1 2 3
0 0 0
1 3 0
3 1 0
10 9
0 2 0
0 1 2
2 0 1
0 2 2
0 1 0
1 2 1
1 2 2
2 0 0
2 1 1
1 1 1
10 3
1 1 0
2 0 2
3 2 3
1 3 0
3 0 1
2 0 0
2 3 0
1 0 0
3 0 3
0 2 2
10 7
0 3 1
0 0 0
1 0 2
0 0 3
2 1 3
0 2 1
3 2 2
2 3 3
2 3 0
0 1 1
10 9
0 1 1
1 3 1
1 2 1
3 1 0
3 2 0
1 3 0
2 0 0
1 0 0
0 2 0
3 3 3
10 5
3 3 1
2 2 2
3 0 3
0 3 2
2 3 1
1 1 3
3 1 3
2 1 0
0 0 3
0 0 2
10 5
2 0 2
1 1 2
0 2 0
0 0 1
1 1 1
0 0 2
2 1 0
0 1 1
2 2 2
2 1 1
10 9
3 1 1
2 3 1
2 0 2
0 2 2
3 3 2
3 3 1
0 0 2
2 1 1
3 1 3
1 0 2
10 6
2 0 0
0 1 2
0 0 2
1 1 0
2 2 0
0 1 1
1 1 1
1 2 1
2 2 1
1 0 0
10 3
2 0 2
2 0 1
0 0 0
1 0 0
1 1 0
1 2 1
0 2 1
1 1 2
1 2 2
0 2 0
10 2
1 0 1
1 3 1
3 0 1
0 1 2
1 1 3
0 3 1
2 1 3
1 0 3
2 0 1
0 2 2
10 2
2 2 1
3 2 1
3 3 3
0 2 0
3 1 0
0 1 1
3 3 1
2 2 2
1 3 2
2 0 3
10 7
1 1 0
1 0 2
1 2 2
1 1 1
0 0 0
3 3 1
1 3 3
1 2 1
2 2 3
2 3 0
10 4
1 0 2
0 2 0
0 0 2
0 1 1
1 1 2
1 2 1
1 2 0
2 2 0
2 0 2
2 0 0
10 5
0 1 1
2 1 0
2 2 2
0 2 1
0 1 0
2 1 2
1 0 2
2 2 1
2 0 2
0 0 0
10 9
0 2 1
0 0 0
2 0 2
0 2 0
2 1 2
1 0 2
2 0 0
2 2 0
1 2 0
2 1 0
10 9
2 2 1
0 1 2
2 2 0
2 0 0
1 1 2
1 2 2
2 1 1
1 0 2
1 0 0
2 1 0
10 8
1 1 0
3 1 1
2 1 1
2 1 2
1 3 1
3 1 2
2 2 0
3 3 3
1 0 3
0 0 3
10 7
1 2 1
2 0 0
0 2 2
2 0 2
0 2 0
1 1 0
2 0 1
0 0 2
2 1 1
2 2 0
10 5
0 3 2
1 1 1
0 0 3
1 2 0
0 2 2
3 2 2
3 0 2
0 1 0
3 3 1
1 0 1
10 9
1 2 0
2 1 2
2 0 2
1 0 2
1 1 0
1 1 2
0 1 1
2 0 1
1 2 2
2 0 0
10 7
0 0 1
1 0 0
0 2 2
2 3 2
2 0 2
0 3 3
3 2 1
0 1 3
1 3 3
1 0 2
10 2
2 0 2
1 1 0
0 0 1
2 1 0
0 1 1
1 2 2
1 2 0
2 2 1
1 0 2
0 2 2
10 7
3 0 3
3 1 1
0 3 0
2 3 2
0 2 0
2 2 0
1 0 2
2 2 2
1 2 2
2 3 1
10 5
0 1 0
0 2 2
1 1 0
0 0 1
2 2 1
2 2 0
0 2 0
0 1 1
2 0 2
1 0 0
10 4
0 0 3
1 0 3
0 1 0
2 0 1
0 2 0
1 2 1
0 0 0
2 3 1
3 1 3
2 0 0
10 3
3 3 2
0 1 3
0 0 0
2 1 3
2 2 0
0 3 0
3 2 3
3 3 1
2 2 1
1 1 2
10 4
2 0 0
1 1 0
0 1 2
1 0 1
2 0 2
0 1 0
2 0 1
1 2 2
1 0 2
2 2 1
10 8
1 1 2
1 3 2
3 1 1
1 0 1
2 0 1
1 1 0
0 3 2
3 1 2
1 2 3
1 1 3
10 4
1 1 1
1 0 2
0 0 2
1 2 0
2 0 1
0 2 1
0 0 1
0 1 0
2 2 0
1 0 0
10 7
1 1 0
0 2 1
1 2 1
1 2 2
0 0 0
2 1 1
0 2 2
1 0 2
0 1 2
1 1 1
10 3
2 2 1
1 0 2
0 1 2
2 0 2
2 0 1
0 0 1
0 1 0
1 0 0
1 1 0
0 1 1
10 9
0 0 2
1 0 2
0 0 0
2 0 2
2 2 2
2 2 0
2 1 1
0 1 1
1 2 0
2 0 1
10 8
0 2 0
1 2 0
0 2 1
2 2 0
2 1 0
2 1 1
2 0 2
2 2 2
0 0 0
2 0 1
10 6
0 3 1
2 2 2
0 1 0
2 0 3
0 2 0
0 1 3
3 2 0
0 2 3
0 3 3
1 2 2
10 4
1 3 3
3 0 2
2 0 1
3 1 3
2 3 1
0 3 3
0 0 1
0 1 3
3 2 1
1 1 3
10 8
0 0 1
0 2 0
2 1 2
2 0 2
1 1 1
0 2 2
0 1 0
1 2 0
2 1 1
1 1 0
10 7
2 2 2
2 1 0
2 0 2
2 1 1
1 0 2
0 1 1
0 2 1
1 2 1
0 2 0
0 0 1
10 6
1 1 1
2 2 1
2 0 0
1 0 0
1 2 1
1 1 0
0 0 2
0 0 1
0 2 2
1 1 2
10 3
0 2 1
1 2 2
1 0 0
2 1 1
0 0 0
1 2 0
1 0 1
2 0 2
0 0 1
2 0 1
10 2
1 2 1
1 1 1
1 0 0
1 1 2
2 1 1
0 1 0
2 2 0
2 0 2
0 2 1
1 0 2
10 7
3 2 0
1 2 3
3 1 3
1 1 2
1 1 1
3 3 1
3 3 2
0 3 1
2 3 1
3 2 3
10 2
2 2 2
3 3 2
1 3 0
3 3 0
2 2 1
2 1 3
1 0 3
0 3 0
0 0 0
3 3 1
10 6
1 2 3
0 2 3
2 2 0
3 3 1
3 1 2
2 3 3
0 2 1
0 1 2
1 1 2
1 2 1
10 8
2 2 2
2 0 1
1 0 1
2 0 0
1 2 0
1 1 2
1 1 0
0 1 1
0 0 2
2 0 2
10 3
3 2 3
3 2 1
3 2 0
2 0 3
2 3 2
2 1 0
0 2 3
2 0 0
1 2 0
1 1 0
10 9
2 1 2
1 2 1
2 0 0
0 2 0
0 0 1
1 1 1
2 0 2
0 0 2
1 1 0
2 1 0
10 7
0 2 1
2 0 1
1 1 1
2 0 0
1 0 1
1 2 0
0 1 0
0 1 2
1 0 0
0 2 0
10 6
0 1 2
2 0 2
0 0 0
0 2 1
0 1 1
1 1 0
1 2 2
1 2 0
0 2 2
0 0 2
10 4
0 1 0
3 3 3
2 2 0
0 1 2
0 3 1
2 1 1
3 2 0
2 0 0
2 2 2
3 2 3
10 5
1 2 0
2 1 1
0 2 0
0 1 0
1 2 2
2 1 2
2 2 0
2 0 1
1 1 0
2 2 1
10 7
0 1 2
3 3 1
1 0 2
0 1 3
0 2 0
3 3 3
3 3 2
1 3 2
1 3 3
1 0 0
10 7
1 0 1
2 0 1
1 2 1
1 0 0
2 1 2
0 0 1
0 0 2
0 1 1
2 1 0
0 2 0
10 5
1 1 0
0 0 2
1 2 1
2 0 0
2 2 0
0 2 2
0 2 0
0 1 1
0 0 0
2 2 2
10 4
0 2 1
0 2 0
1 2 2
2 2 0
1 0 0
1 0 1
1 0 2
2 2 2
2 2 1
0 0 0
10 7
1 2 1
2 2 0
0 3 0
2 3 1
2 2 3
2 2 2
0 1 2
0 0 1
0 2 2
0 3 2
10 5
1 0 2
1 1 0
2 1 2
0 1 2
0 2 2
2 0 2
2 1 0
2 2 2
0 2 1
0 1 1
10 9
1 0 1
2 2 0
0 0 1
0 1 2
2 1 1
0 1 0
0 2 1
2 2 1
1 0 2
1 1 0
10 4
2 3 1
2 2 0
2 1 3
3 0 2
0 2 1
2 1 1
0 1 3
3 2 1
3 1 3
2 2 1
10 4
0 3 0
0 0 1
2 2 2
3 1 0
0 1 1
2 0 0
3 1 1
1 1 1
0 2 1
3 0 2
10 4
3 1 1
1 2 0
0 1 1
2 0 0
1 3 2
0 3 2
3 2 3
2 0 1
0 1 0
2 1 2
10 3
1 2 1
3 1 1
1 3 3
2 2 1
2 1 2
0 1 2
3 0 3
2 1 3
3 3 0
1 2 2
10 8
3 1 1
1 2 0
3 2 3
3 1 2
2 0 2
0 1 1
2 1 2
2 1 0
0 2 2
0 1 2
10 6
2 0 1
0 0 0
0 1 1
2 2 1
1 2 0
2 1 1
0 0 1
2 2 2
2 0 0
0 0 2
10 3
2 1 1
2 2 1
1 0 2
1 2 2
1 2 0
0 1 0
1 0 0
0 0 2
2 0 1
0 0 0
10 8
3 1 1
3 1 2
3 3 2
1 3 1
0 1 2
0 1 0
0 3 2
3 1 0
3 0 0
0 2 2
10 6
0 1 0
1 1 0
2 2 2
2 0 1
2 1 1
0 0 1
2 0 2
0 2 1
2 0 0
1 1 2
10 2
1 2 1
2 1 2
1 2 0
2 1 0
0 2 3
1 1 3
2 3 1
0 3 1
0 2 1
3 1 0
10 5
0 2 0
2 2 0
3 1 3
3 3 3
1 2 1
1 3 0
2 3 3
2 1 2
1 0 0
1 1 2
10 5
2 0 0
0 0 3
1 0 1
2 3 3
1 0 2
2 3 0
3 1 0
1 1 1
2 3 1
0 0 2
10 6
2 2 2
2 0 1
1 0 1
2 0 2
1 1 1
1 2 0
0 2 1
0 0 1
0 0 2
2 1 2
10 3
0 2 3
1 2 2
1 3 3
1 0 1
1 1 3
1 2 3
2 0 3
1 0 0
1 1 1
0 1 1
10 7
3 1 2
2 0 0
1 0 1
3 3 2
2 3 0
3 0 2
2 0 3
3 0 0
3 1 3
1 1 2
10 3
0 0 3
0 0 2
3 1 3
3 2 2
1 1 2
3 2 1
3 3 0
1 2 1
3 2 0
3 3 2
10 8
0 1 1
1 1 1
1 0 0
1 1 2
0 0 1
0 0 0
0 1 2
1 0 2
0 2 0
2 2 0
10 7
1 0 1
3 3 0
2 1 2
0 3 0
2 1 0
2 2 0
0 3 1
3 2 3
2 2 1
1 0 0
10 9
2 0 1
2 2 1
2 1 1
0 1 1
1 2 0
0 2 0
0 2 1
0 1 2
1 1 1
2 2 0
10 5
1 1 3
3 0 2
2 2 3
0 2 2
0 3 3
0 1 2
2 2 2
1 3 0
0 2 1
1 2 3
10 4
1 1 1
1 0 0
2 1 0
2 0 0
1 1 2
0 2 0
1 2 0
0 1 1
2 2 1
0 2 1
10 5
1 2 0
2 0 2
0 2 2
0 2 1
2 1 1
2 2 0
2 1 2
0 0 1
2 0 0
1 0 2
10 6
0 3 0
0 2 3
1 3 0
2 2 2
3 1 3
2 1 0
3 1 2
2 0 0
1 2 1
2 1 3
10 9
3 1 0
3 3 3
1 3 0
3 3 1
0 2 1
0 0 3
1 2 3
2 2 2
2 3 1
3 2 2
10 9
0 1 0
0 2 2
0 0 0
1 2 0
0 1 1
0 0 2
2 0 2
0 2 0
1 2 2
2 1 2
10 2
2 3 2
0 0 1
3 2 0
1 0 3
2 0 3
2 1 0
1 2 0
3 0 0
0 1 1
2 0 1
10 3
3 0 2
0 3 2
1 2 2
0 2 2
1 2 0
1 1 2
3 2 0
3 2 1
1 0 0
2 0 3
10 9
3 1 1
2 3 3
3 2 2
2 1 2
2 0 0
3 0 3
3 3 0
2 2 1
2 0 1
2 0 2
10 3
0 2 0
1 2 2
0 1 2
2 1 1
1 2 0
1 1 1
1 1 2
1 0 1
1 0 2
2 0 1
10 3
2 0 2
2 2 0
0 1 2
0 2 0
0 1 0
1 1 2
0 0 2
1 1 0
2 0 0
1 2 0
10 4
2 3 0
0 0 0
3 3 3
0 2 2
0 2 1
3 0 0
1 2 1
3 1 2
3 2 3
2 1 3
10 5
1 1 2
2 3 1
0 3 0
2 2 0
1 0 3
0 1 1
0 3 1
3 2 2
1 1 1
2 0 1
10 7
3 1 3
3 2 0
2 1 1
2 1 3
3 0 1
3 3 1
0 1 1
2 0 0
1 1 3
2 3 1
10 8
3 3 0
0 0 2
2 2 0
0 0 1
3 3 3
2 3 1
0 3 3
2 1 0
1 1 2
0 0 3
10 5
2 0 0
1 0 2
1 0 0
1 1 2
0 1 1
2 1 2
1 2 1
2 2 1
1 2 2
2 1 0
10 6
3 0 1
1 1 1
2 0 0
0 3 1
2 2 0
1 2 1
2 2 1
1 2 0
3 3 2
0 1 1
10 8
1 1 0
0 0 2
0 1 1
1 2 2
0 2 1
1 2 1
0 0 1
2 1 1
2 0 2
1 0 2
10 7
0 0 0
1 0 0
0 0 2
0 0 1
1 1 1
2 2 1
0 2 2
1 0 2
2 1 0
1 2 2
10 4
0 0 2
1 2 0
1 2 1
1 0 1
2 2 1
0 2 1
2 1 2
2 0 0
0 0 1
1 1 1
10 6
3 2 2
2 3 1
3 2 0
0 2 0
0 0 2
2 0 3
0 0 0
3 0 3
1 2 2
3 3 3
10 8
0 2 2
0 2 0
1 0 1
0 0 1
2 0 2
0 1 1
1 2 1
1 0 0
1 2 0
0 1 0
10 9
3 0 2
3 3 0
0 1 3
1 1 0
0 2 2
0 0 2
3 1 1
0 2 3
1 0 1
2 3 3
10 5
0 1 1
0 0 1
2 0 1
1 3 3
3 0 1
1 2 2
0 3 2
1 2 3
0 1 0
0 3 1
10 4
0 0 0
1 2 3
0 3 0
2 2 2
0 2 2
0 2 0
0 0 1
1 0 0
3 1 0
0 1 0
10 3
1 0 0
0 2 0
2 0 1
2 0 0
1 1 1
0 2 1
0 0 2
2 0 2
0 1 0
1 2 2
10 4
0 0 2
2 0 1
1 2 0
2 2 1
2 2 2
0 2 0
0 0 1
1 0 1
1 1 1
0 1 1
10 3
0 2 2
1 0 2
0 0 3
3 1 0
3 2 1
1 3 3
0 0 1
1 2 0
2 2 0
1 0 1
10 7
1 3 3
2 3 2
1 0 0
2 0 1
1 0 3
2 2 1
2 2 2
1 2 1
2 1 1
2 3 0
10 5
3 2 0
0 0 0
2 1 1
1 3 1
3 1 3
0 3 3
0 0 1
1 2 2
1 1 2
1 3 2
10 8
2 3 3
2 0 3
0 1 0
0 0 0
1 1 1
3 1 0
2 2 1
1 3 0
1 3 2
1 0 0
10 3
2 1 0
1 1 2
2 0 0
0 2 1
2 1 1
1 0 1
0 1 1
2 0 1
0 2 0
1 0 0
10 8
2 0 1
0 2 2
2 2 1
2 1 0
0 1 0
1 1 0
2 2 0
0 2 1
1 0 0
2 1 1
10 6
2 2 2
1 0 1
0 1 0
2 1 0
1 1 1
2 0 2
0 2 0
0 1 2
2 0 0
0 0 0
10 7
2 2 2
3 1 3
1 3 1
2 3 3
2 0 0
2 0 2
3 0 0
2 0 1
0 3 2
1 2 2
10 6
2 1 1
3 3 1
3 1 2
2 0 0
0 1 3
1 2 2
2 1 0
2 0 3
3 0 3
2 2 1
10 5
2 2 2
1 0 1
0 2 2
0 0 2
1 0 2
2 1 0
2 0 2
1 2 2
2 2 1
1 1 0
10 7
1 0 1
1 1 1
0 0 1
1 2 0
0 2 2
0 1 0
2 0 1
2 1 1
2 1 0
2 0 0
10 3
2 0 0
0 2 1
3 3 2
0 3 3
0 1 2
0 3 2
2 2 1
3 1 1
1 2 3
1 3 3
10 5
1 0 1
0 0 1
2 1 0
2 1 1
2 0 0
1 2 2
2 0 2
0 2 2
0 1 2
1 1 2
10 8
0 1 1
1 2 1
0 2 0
1 0 0
1 1 1
0 0 2
1 2 0
1 1 0
2 2 2
1 2 2
10 5
0 2 1
2 2 0
0 0 0
2 1 0
2 2 2
2 2 1
2 0 1
1 1 2
0 2 0
1 2 2
10 4
2 1 1
2 0 2
0 2 0
1 1 2
0 1 0
1 1 0
0 0 0
0 1 1
2 2 0
2 1 0
10 5
1 2 1
1 0 0
2 2 1
0 2 0
0 0 0
1 2 0
0 1 2
2 1 1
1 0 2
0 1 1
10 8
1 1 1
2 2 2
1 0 2
0 1 3
3 2 3
1 3 1
2 0 3
3 2 1
1 2 1
0 3 0
10 9
0 1 2
0 0 0
1 3 0
1 3 3
2 0 3
3 2 3
2 0 1
3 3 1
1 0 2
0 2 1
10 8
0 2 0
1 0 0
0 1 1
2 2 3
0 3 2
2 2 1
1 1 3
1 2 2
3 1 2
3 2 0
10 4
2 0 0
0 0 3
1 2 0
0 3 1
3 0 1
0 1 0
3 0 0
0 1 3
3 2 0
1 1 0
10 5
0 3 2
0 3 1
3 0 3
0 3 3
2 2 1
1 3 2
1 1 1
3 3 0
0 0 3
1 3 0
10 9
1 0 1
2 0 1
3 0 1
2 0 0
1 0 2
2 3 0
2 0 2
2 2 3
1 3 0
0 3 0
10 3
3 2 0
0 3 2
0 0 1
0 1 1
0 1 0
3 2 3
2 0 3
3 2 1
0 0 2
3 0 0
10 6
1 2 1
2 3 3
2 3 0
2 0 3
1 0 3
3 1 3
2 3 2
3 2 1
1 1 0
1 0 1
10 4
3 1 1
3 1 0
2 2 2
1 2 2
3 0 0
2 0 3
2 3 2
1 3 0
1 1 3
3 2 0
10 8
0 2 1
0 1 1
1 0 0
0 0 0
0 1 2
1 2 0
1 2 1
1 0 2
1 0 1
2 0 0
10 3
2 1 1
0 2 0
2 0 1
1 0 2
1 0 1
0 2 1
1 0 0
0 1 2
1 2 0
2 0 0
10 8
0 0 1
2 1 0
1 1 1
1 1 2
2 2 0
2 1 1
0 2 2
1 2 0
2 0 1
0 2 0
10 3
3 3 3
0 0 3
3 1 1
3 1 2
3 3 2
2 3 1
1 0 3
3 2 2
1 3 1
2 2 0
10 5
1 1 1
0 1 0
1 2 3
0 2 1
0 1 3
2 1 2
1 1 2
1 2 0
2 2 3
1 0 3
10 6
1 0 3
0 3 0
2 1 1
3 0 2
2 0 0
1 1 1
2 2 3
2 1 0
2 2 2
1 0 2
10 5
3 1 1
2 2 2
3 3 2
1 3 1
1 2 2
1 2 3
1 0 2
0 3 2
2 1 3
1 1 2
10 9
0 1 0
1 3 3
3 1 1
2 3 1
3 2 1
1 3 0
0 0 3
1 0 0
3 0 1
0 2 2
10 2
2 3 2
0 1 2
1 1 2
1 3 1
3 2 0
0 3 2
2 1 2
3 3 1
3 2 1
1 3 0
10 6
2 2 1
1 1 2
1 1 0
2 2 2
1 1 1
1 0 0
2 1 0
1 0 1
2 0 1
0 1 1
10 2
0 0 0
2 0 1
3 0 2
3 2 0
3 3 0
2 1 1
3 0 1
1 0 3
2 3 0
1 3 0
10 2
2 2 0
1 1 1
3 1 2
3 0 2
2 2 1
2 3 2
1 0 1
0 1 3
1 0 0
1 1 2
10 6
2 0 1
1 1 1
0 1 1
1 2 2
2 1 2
0 1 2
0 2 2
1 2 0
0 0 2
2 1 0
10 9
1 1 1
2 2 0
0 0 2
1 0 1
2 0 2
2 2 1
2 1 1
2 1 0
0 1 0
0 0 0
10 7
0 0 1
0 2 2
2 0 1
1 2 2
0 1 1
1 1 2
1 1 1
0 0 2
1 0 2
1 1 0
10 5
3 1 3
0 1 0
0 0 1
3 1 0
3 2 0
3 3 2
2 2 2
1 2 3
0 0 3
0 3 2
10 6
0 1 1
0 0 1
0 1 0
2 1 1
1 2 1
1 1 0
1 2 0
0 0 2
1 0 0
1 2 2
10 6
1 2 3
1 3 0
1 1 1
0 1 2
0 0 1
0 3 1
0 2 3
2 1 3
3 0 2
0 0 0
10 6
3 2 1
1 2 1
1 1 0
0 1 2
2 2 0
2 0 2
2 1 3
3 1 1
2 2 2
3 2 0
10 3
2 1 1
0 2 0
1 0 2
2 1 0
0 0 2
2 0 2
0 1 1
0 2 1
2 0 0
1 0 0
10 2
0 1 2
2 1 2
0 0 1
1 1 1
2 2 2
0 0 0
1 2 1
0 2 0
2 0 2
2 2 1
10 3
2 3 0
1 2 0
1 3 1
3 2 0
3 1 3
2 3 1
0 0 1
0 1 3
1 0 0
1 0 1
10 3
0 0 3
3 2 2
0 2 2
0 1 2
1 3 0
2 1 3
3 3 0
0 1 0
1 2 1
3 0 2
10 5
0 1 0
0 2 2
0 1 1
0 2 0
2 1 1
0 0 1
1 2 1
2 0 0
2 2 0
0 0 2
10 4
0 1 1
0 1 3
3 0 3
0 2 3
0 3 0
3 3 1
1 0 1
2 0 3
1 1 2
2 1 3
10 5
1 0 0
1 1 0
0 0 0
2 2 2
0 2 2
0 2 0
0 1 0
1 2 0
2 1 1
0 2 1
10 2
1 1 1
1 1 2
1 2 2
0 2 2
0 1 0
2 1 0
1 2 1
0 0 0
0 1 2
2 1 2
10 4
2 3 2
2 3 3
1 0 1
1 1 1
3 1 0
3 0 3
2 1 2
3 1 3
3 0 2
2 1 3
10 8
2 0 2
0 0 0
1 1 0
2 0 0
1 2 1
2 2 0
1 0 0
0 2 2
1 1 1
2 1 2
10 7
2 2 2
0 2 0
2 2 1
1 2 1
0 1 0
2 0 2
0 0 0
2 0 0
2 1 0
2 2 0
10 4
2 1 3
3 0 0
0 2 3
0 1 3
1 2 2
3 2 1
2 0 2
2 0 1
3 3 1
2 3 3
10 8
3 3 1
2 1 0
3 1 2
2 2 0
0 3 1
0 1 0
0 2 0
2 3 1
2 0 0
0 2 1
10 8
3 2 3
1 0 0
3 0 3
3 0 2
2 2 0
3 2 1
3 2 2
0 2 3
3 1 1
3 0 1
10 9
3 2 3
3 0 0
2 3 1
2 1 2
2 0 0
0 1 3
3 1 1
3 2 0
0 3 1
1 3 3
10 6
1 0 1
0 3 2
2 1 1
0 0 1
3 1 3
1 2 0
0 2 2
3 0 0
3 3 0
0 3 1
10 7
2 0 2
1 1 2
0 2 2
0 2 1
0 2 0
0 0 0
2 0 0
2 1 0
2 2 2
0 1 0
10 6
2 3 2
1 1 3
0 0 2
2 0 0
3 0 2
0 1 3
1 2 3
2 2 0
1 1 1
0 3 0
10 2
3 3 2
2 0 0
0 2 1
0 0 3
1 0 1
1 3 3
0 2 0
0 2 3
3 0 2
2 2 3
10 5
2 0 0
1 1 0
0 0 1
1 0 0
1 0 2
0 2 1
2 2 0
1 0 1
2 2 1
0 1 1
10 6
2 0 0
0 1 1
0 0 2
1 1 1
0 0 1
1 0 1
1 2 2
1 0 2
0 2 2
1 2 0
10 6
0 0 2
2 0 1
1 3 0
0 0 1
0 1 0
3 0 1
1 2 1
3 2 2
3 0 3
3 1 3
10 4
1 0 2
1 0 0
2 0 2
0 2 2
1 1 2
0 1 1
2 2 1
0 1 2
1 0 1
1 2 1
10 8
0 1 2
0 0 1
0 1 0
2 0 1
1 0 2
2 2 0
2 0 0
1 2 0
0 1 1
0 2 0
10 4
1 1 1
0 1 0
2 1 0
1 1 0
1 2 2
0 2 0
1 0 0
3 0 3
3 2 1
1 2 1
10 3
2 1 0
0 1 1
0 2 0
1 1 1
2 0 2
2 2 1
1 1 2
2 0 0
1 2 0
2 1 2
10 6
2 1 1
2 0 2
2 0 3
3 0 0
1 0 1
3 2 1
0 1 0
0 2 1
0 0 3
1 0 3
10 8
0 0 0
2 0 0
2 1 0
2 2 2
1 1 1
2 0 1
1 0 2
0 1 0
1 2 0
0 0 2
10 3
0 1 0
1 1 1
1 0 0
0 1 2
1 0 2
1 1 0
1 2 1
2 0 0
2 0 2
0 1 1
10 3
3 1 3
0 3 0
3 0 0
2 0 0
1 0 1
2 2 0
3 0 1
1 1 0
0 0 2
2 0 2
10 6
2 1 2
1 2 1
2 0 2
0 2 1
1 2 0
0 2 0
2 1 0
0 0 0
2 2 0
2 0 1
10 4
2 1 1
0 1 0
1 2 2
1 0 2
1 1 0
0 2 0
2 2 1
0 0 0
2 1 0
2 2 0
10 3
2 0 2
2 1 0
0 2 0
1 2 2
1 0 0
2 0 0
0 0 0
0 0 2
2 2 2
2 1 2
10 7
1 3 1
0 3 2
3 0 2
1 2 2
2 2 3
2 0 3
3 2 2
0 0 2
2 3 2
2 0 2
10 7
3 3 0
2 2 0
0 3 1
3 1 2
0 2 3
2 0 2
2 1 2
0 1 2
3 2 2
0 1 0
10 9
2 0 2
0 1 1
0 2 1
0 2 0
0 0 2
0 0 1
1 0 2
2 1 0
1 1 1
1 0 1
10 3
0 0 2
0 0 0
0 1 1
2 0 0
0 0 1
1 2 2
0 1 2
2 0 2
2 1 2
1 1 0
10 4
1 2 0
1 0 0
0 1 2
1 1 1
2 0 0
1 0 1
2 1 2
0 0 2
1 1 2
1 2 1
10 5
2 3 2
2 2 2
0 0 2
3 2 3
1 1 2
1 3 3
0 3 1
0 0 3
2 2 0
3 3 1
10 3
2 2 0
1 2 2
1 0 2
1 2 0
2 1 1
2 2 1
0 2 1
0 0 1
0 2 2
0 0 2
10 3
2 1 2
2 1 1
2 0 2
2 0 1
2 1 0
1 0 0
2 2 1
0 2 1
0 0 1
1 2 2
10 2
0 1 3
2 0 0
2 3 3
0 1 2
1 3 2
0 3 0
1 3 0
2 1 0
3 0 2
1 3 3
10 8
0 0 2
3 2 1
1 0 3
1 2 1
0 1 3
3 1 3
3 1 2
2 2 0
2 0 1
1 3 0
10 5
1 0 0
1 1 0
1 2 2
0 2 0
0 0 2
2 1 2
2 0 2
1 1 2
0 1 0
2 1 0
10 7
2 1 2
2 2 3
2 3 2
0 3 3
3 1 2
1 3 0
0 0 1
1 3 1
2 0 3
3 2 2
10 8
1 3 3
0 3 1
1 1 0
0 2 2
3 0 0
2 0 0
3 1 1
2 1 0
0 2 3
2 2 0
10 3
1 0 2
0 2 2
2 0 2
0 0 1
0 1 0
2 2 1
0 1 1
1 2 1
2 1 1
2 0 0
10 2
3 2 1
0 2 1
3 2 2
2 1 3
0 2 0
2 2 2
3 1 0
3 1 3
1 2 3
3 3 2
10 5
2 2 0
2 1 1
2 1 0
2 0 1
0 2 2
0 0 2
1 0 0
1 2 1
2 1 2
0 2 1
10 9
1 1 0
1 2 2
2 0 0
2 1 2
0 1 1
2 1 0
0 1 2
0 2 0
2 2 2
2 2 0
10 2
0 2 1
3 0 0
3 2 2
2 0 3
0 0 3
1 3 3
3 3 1
3 1 1
0 2 3
1 1 1
10 4
1 1 0
0 1 0
1 0 1
1 2 2
0 2 2
0 1 2
2 2 1
0 1 1
1 2 0
1 1 2
10 6
2 0 0
0 0 0
2 2 0
0 1 0
1 2 1
1 1 1
0 2 2
0 2 1
0 0 2
2 1 2
10 8
3 1 0
1 0 0
2 0 0
1 3 1
2 3 2
3 0 3
2 3 0
1 3 3
0 1 2
3 3 3
10 2
2 2 0
1 1 0
0 0 0
2 2 1
1 2 2
0 1 1
0 0 2
1 0 1
1 1 2
2 1 0
10 9
1 1 0
1 2 1
0 0 0
0 0 1
0 1 0
0 2 0
0 0 2
2 1 0
1 1 1
2 0 1
10 8
0 0 2
0 1 0
2 0 0
0 1 2
1 1 0
2 1 1
0 0 1
2 1 0
0 2 0
0 1 1
10 7
1 1 2
1 1 0
0 0 0
0 2 0
2 0 2
1 2 1
1 2 2
0 0 2
2 2 0
1 0 2
10 7
2 1 1
1 1 0
1 2 1
0 0 2
2 2 2
2 2 0
2 0 2
1 0 0
0 2 2
0 1 2
10 6
3 3 1
1 2 0
0 2 1
0 3 1
3 0 2
3 0 0
1 3 1
0 0 1
1 0 3
0 2 3
10 2
2 0 2
0 1 2
1 3 3
3 1 0
2 2 2
3 2 3
1 0 0
1 3 0
3 2 2
3 3 3
10 8
0 2 0
3 2 3
3 3 1
1 1 1
2 2 0
1 3 2
1 2 3
0 3 0
2 1 0
2 2 2
10 8
0 2 1
0 1 1
0 2 2
1 1 2
2 1 2
2 0 2
1 1 0
1 0 2
0 0 2
2 0 1
10 2
2 1 2
0 1 1
0 0 1
1 1 1
1 0 0
2 0 0
2 2 1
0 1 0
1 2 2
0 2 1
10 8
1 0 3
1 1 1
2 0 0
3 1 3
2 3 3
1 2 3
0 1 0
2 1 3
2 1 2
1 1 0
10 2
3 2 0
1 0 3
2 3 3
2 1 1
3 1 2
0 2 0
2 3 0
1 1 0
2 1 3
3 3 2
10 4
3 0 1
3 2 2
3 2 3
0 2 3
1 3 0
3 3 3
1 1 1
3 3 1
1 1 3
2 1 1
10 8
2 2 3
0 1 2
2 1 2
1 0 1
2 2 0
3 1 2
3 2 2
0 1 1
3 1 3
1 0 3
10 7
2 0 3
1 0 3
3 0 3
0 3 1
3 1 2
2 0 1
1 0 2
1 1 1
3 3 2
0 1 2
10 2
2 0 0
2 0 2
0 1 1
0 0 2
1 0 2
1 1 0
2 1 1
0 2 2
2 2 2
0 1 2
10 2
1 2 0
3 1 3
2 2 0
3 1 0
0 2 1
0 3 3
2 3 2
1 1 1
0 0 3
0 0 2
10 4
2 0 2
0 2 0
1 1 1
1 1 2
2 2 2
1 2 1
0 1 2
2 2 1
1 1 0
2 1 2
10 8
0 0 2
1 1 0
2 1 2
1 0 2
2 1 1
0 1 2
0 0 0
2 0 0
2 0 1
2 2 1
10 5
1 1 1
1 1 2
2 0 1
2 0 2
1 0 0
1 0 1
0 0 0
2 1 2
0 1 1
0 0 2
10 9
1 3 3
1 1 1
1 2 0
2 2 0
0 0 3
0 2 0
2 2 2
0 3 3
1 0 0
3 2 1
10 2
0 0 0
1 0 2
0 2 2
1 0 0
0 1 2
2 1 2
2 0 0
1 0 1
0 1 0
2 0 1
10 8
0 1 2
1 0 2
0 2 0
2 2 0
2 2 2
2 1 0
2 2 1
1 2 1
2 0 0
0 0 2
10 8
0 2 0
2 1 2
1 1 0
0 0 1
2 0 2
1 0 2
1 1 2
2 1 0
1 2 1
2 2 2
10 6
2 3 3
0 1 1
3 3 0
3 2 2
2 2 1
2 0 2
0 2 1
2 3 1
1 0 0
1 2 1
10 2
1 2 1
2 2 0
0 1 2
1 0 2
0 2 0
2 0 0
0 0 2
2 2 2
2 1 0
1 1 2
10 6
2 1 1
2 1 0
0 2 1
1 0 2
2 0 1
2 2 2
2 1 2
1 0 0
0 2 2
1 2 2
10 6
1 1 1
0 3 0
3 3 3
1 3 0
0 2 2
2 0 0
0 2 1
2 2 2
0 3 3
0 3 1
10 7
2 1 2
1 2 1
1 0 2
1 0 1
0 1 0
1 1 1
2 1 1
1 2 0
1 1 2
0 1 1
10 2
0 1 0
1 0 0
2 0 2
1 2 0
2 1 0
0 2 1
1 2 1
2 2 0
2 1 1
0 0 2
10 9
0 2 0
0 0 0
2 0 0
0 1 1
0 0 1
1 1 1
0 2 1
1 2 1
2 1 1
2 2 1
10 3
0 0 1
0 1 2
0 3 3
0 0 2
0 2 2
3 2 2
2 1 3
1 2 3
3 1 2
0 2 3
10 5
2 1 2
1 0 0
0 2 0
2 0 0
2 2 2
1 2 1
1 1 2
1 2 0
2 0 1
0 0 1
10 6
2 0 2
1 1 2
2 2 0
1 0 2
0 2 2
1 2 1
0 1 0
2 1 1
1 2 0
0 2 0
10 5
0 1 1
2 2 1
2 0 1
0 0 0
1 1 2
2 1 0
2 2 2
1 0 0
1 2 0
1 1 0
10 7
2 1 2
0 0 0
1 0 2
1 2 0
2 0 1
0 1 1
2 1 0
2 2 0
1 1 0
2 0 2
10 3
2 1 1
2 2 2
1 2 1
0 2 0
2 2 1
1 0 1
2 0 2
0 1 1
0 0 1
1 2 2
10 6
0 2 2
0 2 0
3 3 1
2 0 2
1 0 3
2 3 2
0 3 1
3 0 0
0 0 3
2 1 0
10 9
1 1 1
2 2 1
1 1 0
1 0 0
0 1 0
0 0 0
1 0 2
1 2 0
0 0 1
2 0 2
10 5
2 3 2
2 3 0
3 1 1
3 3 0
1 1 0
3 3 1
3 2 3
0 0 3
0 2 3
1 0 2
10 2
2 0 3
0 1 1
0 2 1
1 2 1
2 0 1
0 0 1
3 3 2
0 3 1
3 1 1
3 0 0
10 7
3 2 3
0 0 1
2 1 1
1 0 1
1 3 2
3 2 2
3 0 0
0 0 2
2 1 0
3 1 1
10 9
1 0 0
1 0 1
0 2 0
0 0 1
2 0 2
0 0 0
2 0 1
0 2 2
0 1 0
2 2 2
10 7
0 1 2
2 0 2
1 2 2
1 1 2
1 0 2
2 1 1
1 0 0
0 2 2
1 2 0
1 1 1
10 4
2 3 3
0 2 2
3 3 0
1 2 1
3 3 3
3 1 1
0 0 0
0 2 1
3 2 3
2 1 0
10 3
1 3 1
2 3 2
0 2 3
1 2 3
0 0 2
0 1 2
2 3 0
2 3 3
0 3 2
1 0 0
10 4
0 1 1
2 0 2
2 1 2
1 2 2
0 2 1
1 2 0
0 0 1
2 1 1
0 2 2
1 1 1
10 4
2 1 2
2 1 0
1 0 0
2 2 1
2 2 2
0 1 2
1 0 1
2 0 2
0 0 0
0 1 1
10 8
2 3 3
0 2 3
3 1 0
0 0 1
3 0 3
1 2 0
0 0 0
2 1 2
3 3 3
2 3 2
10 9
1 0 0
2 1 3
2 3 3
2 2 1
1 1 0
2 0 0
3 3 1
0 0 3
0 1 0
3 3 3
10 4
0 0 1
0 2 1
1 1 0
1 2 2
1 0 2
0 0 0
2 2 2
0 2 0
0 1 1
2 0 0
10 9
1 2 0
1 1 1
1 0 0
0 2 1
2 1 0
2 1 2
1 2 1
0 0 1
1 1 2
0 1 1
10 9
1 0 1
1 2 1
0 1 1
2 0 1
1 0 0
1 2 2
1 0 2
2 1 1
0 2 1
1 1 2
10 2
2 1 0
0 1 2
1 1 0
1 0 0
1 2 0
2 2 2
1 0 1
1 0 2
2 0 2
0 1 0
10 8
0 1 2
0 1 0
0 0 1
2 0 2
2 2 1
2 0 0
1 1 0
0 0 2
0 2 1
1 2 2
10 7
0 1 1
0 2 3
1 1 3
0 1 3
0 0 3
0 0 2
2 1 0
3 2 0
3 1 1
2 2 1
10 6
2 1 2
1 0 0
1 0 2
1 2 0
2 0 1
2 1 0
1 1 1
2 1 1
0 2 2
2 0 0
10 7
1 2 1
2 2 1
2 0 1
0 1 2
1 1 2
0 2 2
2 1 1
1 0 2
0 0 0
0 2 0
10 3
0 1 2
2 1 0
2 0 0
2 2 2
1 2 2
2 2 1
1 2 0
0 2 2
0 0 1
1 1 2
10 6
3 2 0
3 1 1
1 1 2
3 0 3
3 1 3
0 2 1
2 1 1
1 3 0
0 3 3
2 1 0
10 5
0 0 0
2 0 0
1 2 1
1 0 0
0 0 1
2 1 1
2 1 0
1 0 1
0 2 2
1 1 0
10 6
1 2 0
0 0 1
2 2 0
2 0 1
1 2 2
2 2 2
2 2 1
0 0 2
2 1 0
0 2 0
10 9
0 1 1
2 0 1
1 0 1
0 2 0
1 2 1
2 2 2
2 0 2
0 0 1
2 2 1
1 2 0
10 5
2 2 2
0 2 2
0 0 2
2 1 0
0 2 1
1 0 1
2 2 1
2 2 0
1 1 1
0 0 0
10 4
2 1 2
2 0 2
2 2 0
0 2 1
0 2 0
1 1 0
1 2 0
1 2 1
2 2 2
0 1 0
10 7
2 2 2
0 0 1
1 0 1
0 1 2
0 1 0
2 0 0
1 1 0
1 1 2
1 0 2
0 2 1
10 7
2 0 0
3 0 0
1 0 0
2 3 1
1 2 2
2 0 3
1 1 2
0 1 3
3 2 1
2 3 2
10 3
3 1 2
0 1 1
0 1 3
1 1 2
0 2 0
3 0 1
1 1 3
2 2 3
1 2 1
1 1 1
10 6
2 0 0
0 0 3
2 3 0
2 2 3
0 2 1
2 0 2
0 3 1
2 2 1
2 3 1
3 3 3
10 7
0 0 1
2 1 1
0 1 0
2 0 2
1 1 0
0 1 1
0 0 2
1 0 1
1 0 0
2 1 2
10 4
0 0 2
0 1 2
2 2 0
2 0 1
1 2 2
0 0 1
1 2 1
0 2 1
1 0 2
0 1 0
10 6
2 3 2
0 3 0
2 2 0
0 3 1
1 0 0
3 1 0
3 0 3
1 0 3
1 2 3
0 2 1
10 8
3 3 3
1 1 3
0 1 3
1 0 1
2 2 1
2 1 0
2 0 1
1 0 0
1 1 1
0 1 0
10 7
2 1 0
1 0 2
1 2 2
0 1 0
2 1 1
0 2 0
2 0 0
2 2 0
0 2 2
1 2 1
10 3
0 1 1
1 0 1
1 1 1
2 1 0
1 2 1
1 0 0
2 2 1
2 2 0
0 1 2
0 0 1
10 6
1 1 1
2 1 1
2 2 1
2 2 2
1 2 2
0 0 1
2 2 0
0 2 1
0 1 1
2 1 2
10 3
3 3 0
2 3 2
1 1 2
0 2 0
3 0 1
2 0 1
1 1 3
3 1 3
1 2 1
0 1 2
10 2
2 1 0
1 2 2
0 1 0
2 1 2
1 1 2
0 0 1
1 2 0
2 2 2
1 0 1
1 0 2
10 8
2 0 0
0 0 0
2 1 1
1 1 0
2 2 2
2 0 2
0 1 0
1 2 0
2 2 1
1 0 0
10 5
1 1 0
0 0 0
1 0 2
2 2 1
1 1 1
0 1 0
0 0 1
1 1 2
1 0 0
2 0 2
10 8
0 2 1
1 1 2
0 1 1
1 2 1
2 2 1
1 2 2
0 2 0
2 2 2
1 0 2
2 2 0
10 7
0 0 0
1 1 3
3 1 0
0 1 2
2 1 2
2 1 1
0 1 0
2 2 2
2 0 2
3 1 1
10 6
1 0 2
0 2 1
1 1 1
2 0 0
1 1 0
0 2 2
2 1 2
0 0 0
0 1 1
1 0 0
10 8
2 2 0
1 3 3
3 1 0
1 3 1
3 3 2
3 3 3
1 3 0
2 3 1
1 3 2
0 1 3
10 3
0 2 3
3 2 3
2 1 1
0 0 1
2 3 1
3 2 2
0 0 0
3 1 0
1 0 1
1 3 0
10 9
0 2 1
2 1 1
0 3 2
0 0 1
2 1 3
0 3 1
1 1 0
3 2 3
1 2 0
3 1 0
10 7
2 2 0
0 2 2
0 1 2
1 1 1
2 2 1
1 1 0
1 0 1
2 1 2
0 0 2
2 2 2
10 7
0 2 1
1 2 1
0 0 1
0 1 2
1 0 2
1 1 2
0 1 0
2 0 2
0 0 0
0 2 2
10 5
1 0 1
2 2 0
0 1 1
2 1 1
1 0 0
0 2 1
2 2 1
0 1 2
1 2 1
0 2 2
10 4
3 1 3
1 0 3
1 3 2
0 1 3
1 3 0
1 2 1
2 3 2
2 3 1
1 1 1
2 2 3
10 3
1 1 0
0 2 2
1 0 2
2 0 0
2 1 0
2 2 0
2 2 2
1 2 2
1 0 0
0 2 1
10 9
3 3 2
1 3 0
1 2 2
3 0 0
2 0 0
2 2 1
2 3 2
1 2 1
3 0 1
2 2 0
10 8
0 1 0
1 2 0
1 0 2
0 0 2
0 2 1
1 3 3
3 0 1
1 0 0
2 3 0
2 3 2
10 2
0 1 3
1 2 1
3 2 2
3 1 1
1 0 0
3 1 3
3 0 1
0 3 3
3 3 0
2 3 2
10 3
2 0 1
2 3 1
2 1 3
2 0 3
3 2 0
2 2 1
3 0 0
1 1 0
3 2 2
0 0 1
10 4
2 1 1
1 3 0
2 3 3
1 2 3
3 2 0
3 0 1
1 1 2
3 1 1
0 0 1
2 2 3
10 3
1 0 0
3 2 1
0 1 3
3 1 3
1 1 2
3 0 1
0 2 0
1 3 2
0 2 1
0 0 2
10 2
2 2 2
2 0 1
1 2 0
1 1 1
2 1 2
2 2 0
2 2 1
1 0 1
1 0 2
1 2 1
10 8
2 2 0
0 0 0
0 0 1
0 1 0
3 1 0
1 0 3
3 2 3
3 0 1
1 2 3
3 3 1
10 4
1 0 2
1 1 2
2 2 2
0 0 1
2 2 0
1 0 0
1 2 0
1 0 1
0 2 1
2 1 2
10 6
2 2 1
0 2 0
0 1 2
1 0 2
1 2 2
0 1 1
0 2 2
2 0 1
1 2 1
0 0 1
10 4
2 1 1
0 0 2
0 1 0
2 0 0
2 2 1
1 0 1
2 1 2
0 1 1
2 2 2
1 0 0
10 8
2 0 2
0 0 2
2 1 1
2 2 0
2 0 0
0 2 1
2 1 0
0 0 0
1 1 1
1 0 2
10 9
0 2 1
0 1 3
3 0 0
3 3 1
3 2 3
2 2 2
2 1 1
0 3 0
2 0 3
0 2 2
10 8
1 0 0
1 2 2
1 2 1
1 2 0
2 0 1
1 0 1
0 0 1
2 2 2
1 1 2
0 1 0
10 8
0 2 0
1 2 1
1 1 2
0 0 1
0 1 2
1 1 1
2 0 1
1 1 0
2 0 0
0 1 0
10 7
0 2 1
0 0 0
2 2 2
0 2 2
1 0 0
2 1 1
1 1 0
0 1 2
1 2 0
1 1 2
10 7
1 2 0
2 1 2
0 1 2
0 0 1
1 1 0
2 2 2
1 0 1
0 1 0
0 1 1
2 2 1
10 2
0 1 2
0 2 1
2 1 1
1 0 1
0 0 0
1 2 0
0 0 2
2 1 2
2 1 0
2 2 1
10 5
1 3 1
1 0 2
0 1 1
2 2 2
1 2 3
3 1 3
2 2 1
2 0 3
0 0 0
0 2 0
10 7
1 2 0
0 1 0
0 2 3
3 3 0
2 1 0
2 1 3
2 3 1
3 0 3
1 2 3
2 3 2
10 3
3 0 2
1 3 3
1 0 0
0 0 1
2 2 3
2 0 0
2 3 0
1 3 1
0 2 0
0 0 0
10 3
0 0 1
2 0 1
2 2 0
2 0 0
1 0 1
1 2 1
1 0 0
0 1 2
0 2 0
2 1 1
10 3
2 0 2
1 0 2
1 2 0
1 0 0
0 1 1
2 1 0
0 0 0
1 2 2
0 0 2
2 2 2
10 8
3 3 1
3 0 3
3 1 0
0 0 3
0 1 0
3 2 1
0 3 3
3 3 2
2 1 2
1 2 2
10 4
2 2 0
2 0 0
3 2 1
1 3 2
3 0 2
3 2 2
2 1 3
1 2 3
1 1 1
1 2 0
10 3
0 0 0
2 2 0
1 1 2
3 0 3
2 1 3
0 3 0
0 1 3
3 0 1
3 2 1
0 3 2
10 7
1 2 2
0 0 3
1 2 3
0 3 0
3 1 2
3 0 0
2 3 1
3 3 3
0 2 1
2 2 3
10 4
2 0 2
3 2 2
3 0 0
3 3 0
3 2 0
3 1 0
3 3 3
0 1 0
3 1 1
3 2 1
10 9
3 0 3
3 0 2
3 2 2
1 3 2
2 2 0
1 2 1
0 1 2
2 1 1
1 1 0
0 3 0
10 2
2 3 1
2 2 1
0 1 0
3 3 1
2 1 3
3 2 2
0 2 2
0 0 1
0 1 2
0 3 3
10 4
1 0 1
2 0 1
1 2 2
0 1 1
2 2 0
1 2 0
2 2 2
0 2 2
0 0 0
0 1 2
10 8
0 1 2
3 1 0
3 2 1
3 2 2
0 3 3
2 0 2
1 1 1
2 0 3
0 0 3
0 2 3
10 6
2 2 0
1 1 2
0 1 2
0 1 1
2 0 1
1 2 1
2 1 0
0 1 0
0 0 2
1 2 2
10 4
1 1 2
2 0 0
3 0 2
2 3 0
3 1 1
1 0 2
0 1 0
1 3 2
3 2 0
2 0 1
10 8
2 0 0
0 2 0
1 2 0
1 1 2
2 2 2
2 2 0
0 1 2
1 2 1
2 2 1
0 1 0
10 3
0 2 2
0 1 0
2 1 3
0 0 3
3 0 0
2 1 0
1 1 2
0 3 0
1 0 1
3 2 0
10 8
0 3 2
0 1 1
2 3 1
1 3 3
3 3 0
3 2 1
1 1 3
0 3 1
0 0 1
1 0 1
10 8
3 3 3
1 1 0
2 3 0
3 2 3
3 1 1
0 3 2
0 0 3
1 1 1
0 1 3
3 3 2
10 5
1 3 0
0 3 0
1 1 1
3 3 3
2 1 2
0 1 2
1 0 2
1 2 0
1 2 3
1 0 3
10 5
0 0 1
1 0 3
3 1 3
0 0 3
2 0 1
1 2 1
1 2 2
0 3 1
1 1 0
2 2 3
10 8
0 1 2
1 1 0
0 0 2
1 0 2
1 0 0
0 0 0
2 2 0
2 2 2
0 1 0
2 0 1
10 2
0 1 0
0 0 1
1 0 1
2 0 2
1 1 1
1 1 0
2 0 1
1 0 0
2 2 2
0 2 1
10 9
1 0 1
1 2 1
1 2 3
3 3 0
2 3 2
3 0 3
0 0 3
0 0 1
3 1 0
1 1 0
10 6
2 0 2
1 0 2
0 2 0
0 1 2
0 0 0
2 0 1
2 1 0
2 1 2
2 1 1
2 2 0
10 3
0 0 1
2 1 3
2 0 1
2 1 0
1 3 3
1 0 1
0 3 3
2 3 3
3 2 0
3 0 0
10 8
0 2 3
0 1 0
1 2 0
1 0 3
2 3 0
1 3 2
0 2 1
2 2 1
1 0 0
3 2 0
10 2
0 1 0
0 1 2
2 0 0
2 1 0
1 1 1
0 0 2
2 1 1
2 2 0
2 1 2
0 0 0
10 6
0 0 2
1 2 1
1 2 2
1 1 2
0 1 1
0 2 2
2 0 1
0 0 1
1 0 0
0 2 0
10 2
2 1 0
2 0 0
1 0 1
1 0 2
2 2 0
0 1 2
1 2 2
0 1 0
2 1 2
0 1 1
10 8
2 0 3
0 1 3
2 0 0
0 2 1
0 3 3
2 3 3
2 1 2
2 1 1
1 3 3
3 1 1
10 6
1 2 1
0 2 0
1 1 1
1 2 2
1 1 0
2 2 1
2 0 0
2 0 1
2 1 1
2 2 2
10 5
1 1 1
1 0 1
0 2 0
1 2 1
2 0 1
2 0 2
1 2 2
0 1 2
2 0 0
1 2 0
10 6
0 3 2
2 1 3
2 2 1
2 0 0
3 3 3
2 1 0
2 3 3
3 1 1
1 1 3
3 1 2
10 2
1 0 3
0 2 3
3 1 3
0 0 3
1 3 3
2 0 0
3 2 2
3 0 0
0 3 0
3 2 3
10 9
0 1 3
1 3 3
0 0 3
3 2 3
1 0 0
2 2 2
2 3 0
1 2 3
3 0 2
0 3 2
10 3
0 2 1
1 2 0
2 0 2
2 2 2
1 1 0
1 2 1
0 0 2
0 2 0
1 1 1
2 2 1
10 8
0 0 0
1 2 3
2 3 1
0 2 1
3 3 2
3 2 3
2 1 1
2 3 3
3 1 0
3 0 2
10 8
2 0 2
0 0 2
2 2 2
2 0 0
1 1 0
1 0 0
2 1 1
0 2 1
0 1 1
1 2 0
10 3
0 1 1
0 2 2
0 0 1
0 0 2
1 2 0
1 0 1
0 1 0
2 0 1
2 2 1
1 0 2
10 7
2 1 0
0 2 0
1 2 2
2 0 0
0 0 1
1 1 2
1 2 0
2 2 2
0 0 2
1 0 2
10 7
0 1 1
2 1 0
1 0 2
2 2 1
1 2 2
0 2 0
1 1 2
0 1 0
1 0 1
0 0 0
10 7
3 1 2
0 0 1
3 2 1
1 0 3
3 3 1
2 1 0
1 3 0
1 2 1
2 3 0
0 0 3
10 8
0 3 0
0 0 3
3 0 0
1 0 2
1 1 2
2 1 3
2 0 3
0 3 2
2 0 2
2 3 3
10 5
0 1 1
2 0 2
1 2 2
0 2 1
1 2 1
1 1 0
0 0 0
0 0 2
1 1 1
0 1 0
10 6
2 2 2
1 1 1
2 0 1
0 0 1
0 0 0
2 0 0
0 0 2
0 2 2
1 0 2
2 1 0
10 8
1 2 1
3 1 1
3 3 1
0 1 1
2 2 3
1 3 3
0 0 0
3 0 3
1 1 3
2 3 0
10 5
2 3 0
0 1 1
3 2 2
2 0 2
0 2 2
2 0 1
1 1 3
3 0 0
3 3 3
1 2 2
10 7
2 0 1
3 0 0
2 3 1
2 3 2
3 3 3
0 0 3
0 3 3
2 2 3
2 0 2
1 0 3
10 5
0 3 3
2 2 0
3 0 3
0 1 2
0 2 2
3 1 1
0 2 0
0 0 3
1 3 1
0 0 1
10 8
1 2 1
1 3 3
1 2 2
2 1 3
2 3 2
0 3 1
0 0 0
2 2 1
3 2 3
0 1 0
10 5
0 1 1
2 1 1
2 0 1
2 2 1
1 1 2
0 2 0
2 2 0
1 1 0
0 2 2
1 0 0
10 9
2 1 1
0 2 1
2 2 2
0 0 2
0 2 0
0 0 0
2 1 0
1 0 1
2 2 0
1 1 2
10 8
2 2 2
1 2 0
0 2 1
0 0 1
0 1 0
2 2 0
2 0 2
2 0 0
1 0 1
2 0 1
10 8
2 3 0
2 1 2
1 3 0
1 3 1
3 2 0
0 2 1
1 1 3
1 2 3
3 1 2
2 1 0
10 6
1 1 2
2 2 2
0 1 1
1 1 0
2 1 2
1 2 1
0 2 2
1 0 2
0 0 0
2 2 1
10 9
2 2 1
3 2 1
0 0 3
3 1 3
1 2 1
3 0 1
1 3 2
1 0 0
0 3 1
1 2 3
10 2
1 1 2
0 1 0
2 1 2
1 0 0
2 0 2
2 0 1
0 1 1
0 1 2
1 0 2
0 0 2
10 7
0 0 2
1 2 2
0 2 1
2 2 0
0 1 1
1 1 0
0 2 2
1 0 2
1 1 2
2 1 0
10 8
2 2 1
1 1 1
2 0 1
1 2 1
0 2 0
0 2 2
1 1 2
2 0 0
2 0 2
1 2 0
10 6
1 3 2
0 0 1
2 3 3
2 1 3
0 1 0
0 3 2
1 2 0
1 0 1
1 1 2
1 3 0
10 2
2 0 3
1 1 2
2 0 1
0 3 0
3 0 3
1 2 1
2 1 2
1 0 0
3 2 1
3 1 1
10 7
2 0 2
0 3 0
0 3 1
0 2 1
2 3 1
3 0 2
2 3 2
0 2 3
1 3 3
2 2 2
10 5
1 0 0
0 1 1
0 2 0
2 2 0
1 1 2
2 2 1
2 0 2
0 0 0
2 2 2
1 1 0
10 6
2 0 2
1 0 2
1 0 1
0 1 0
1 1 2
1 1 0
0 2 2
0 2 1
1 1 1
2 1 2
10 2
1 3 0
1 2 0
2 2 2
0 3 3
0 3 2
1 0 3
1 0 0
2 2 3
3 1 0
0 2 1
10 3
0 1 0
3 0 1
1 2 1
3 1 3
1 0 0
2 0 2
2 1 1
0 2 3
3 3 3
0 1 3
10 8
0 2 2
2 2 0
2 0 3
2 2 2
1 3 0
0 1 1
3 0 3
3 3 3
2 3 2
0 3 1
10 5
3 3 3
0 2 3
0 0 2
1 3 1
1 2 1
2 3 3
2 0 2
1 2 3
0 0 1
0 3 3
10 6
1 2 0
0 0 2
1 2 2
2 2 1
1 1 0
0 0 1
1 2 1
2 0 1
0 0 0
0 2 2
10 5
1 2 0
3 2 3
2 3 2
3 3 0
2 1 0
2 2 3
1 2 2
0 3 1
0 1 1
0 2 0
10 3
1 2 0
1 2 1
2 0 0
0 2 2
1 2 2
0 0 1
1 1 2
1 0 2
2 0 1
2 2 1
10 4
0 1 1
0 2 1
0 2 2
0 1 0
2 0 2
1 0 1
0 0 0
0 2 0
1 1 1
0 1 2
10 5
1 0 3
0 3 1
2 2 0
2 0 3
0 1 1
3 1 2
2 1 1
0 2 1
2 0 2
0 2 0
10 3
2 2 0
2 0 2
0 1 2
0 3 0
0 2 3
2 3 2
1 0 2
3 2 1
1 3 3
0 0 2
10 2
2 2 2
0 2 1
0 2 0
0 1 2
0 0 1
1 0 1
2 0 1
2 2 1
0 0 0
0 2 2
10 2
0 2 1
1 0 2
1 0 0
2 0 0
2 0 1
1 1 1
2 1 1
2 0 2
2 2 0
1 1 2
10 7
0 1 1
3 2 3
0 2 3
2 1 0
0 2 0
3 0 1
2 2 3
3 1 2
1 2 1
1 0 0
10 7
3 0 2
3 3 1
1 2 0
0 2 0
1 1 0
0 0 1
3 0 3
1 1 3
3 1 0
1 2 3
10 7
1 2 3
3 2 3
1 1 1
2 0 3
1 0 1
2 3 3
2 3 1
3 3 1
3 2 0
2 0 1
10 5
0 3 1
0 2 2
3 0 1
2 3 1
3 0 3
0 3 3
1 0 2
0 2 1
1 2 3
2 3 3
10 4
3 1 3
3 0 1
3 2 1
1 2 3
3 2 2
3 2 0
1 0 0
0 2 3
0 3 2
0 0 2
10 8
3 0 3
1 2 2
1 1 2
0 2 3
2 1 1
1 3 2
1 0 1
3 0 2
2 2 1
0 0 1
10 7
3 1 3
1 2 3
1 3 3
1 0 0
3 2 3
3 0 0
0 0 3
3 0 3
3 2 1
2 3 0
10 2
0 0 0
1 0 3
2 3 0
3 3 2
0 3 1
2 3 2
1 3 1
0 0 3
0 0 2
3 3 1
10 9
0 3 3
1 2 0
3 2 3
3 1 2
3 0 3
2 2 3
1 3 2
3 1 0
3 3 3
2 1 0
10 5
2 2 1
3 3 1
2 1 3
0 2 1
0 3 2
1 2 3
2 3 1
0 0 3
2 2 2
0 1 1
10 7
2 2 2
1 2 0
1 0 0
2 2 1
0 2 1
0 2 2
1 1 1
1 0 1
0 0 2
0 0 1
10 6
0 0 3
3 0 1
0 2 1
1 0 3
0 2 2
1 1 1
2 0 2
2 1 3
3 1 2
0 3 1
10 7
1 2 1
2 1 0
0 2 2
0 2 0
1 0 0
1 1 2
2 2 1
1 1 0
1 0 1
1 1 1
10 2
2 3 0
2 2 1
1 1 1
3 3 2
3 1 0
2 2 3
2 1 2
2 0 2
0 1 2
0 2 2
10 8
3 2 2
2 0 2
1 0 1
2 2 1
0 0 2
1 2 3
1 0 0
3 2 1
0 1 1
1 3 0
10 3
2 2 2
1 1 1
0 1 2
0 2 1
1 1 0
1 0 2
0 2 2
2 1 2
2 0 2
2 2 0
10 2
2 0 2
0 1 2
0 2 2
2 2 1
1 2 0
2 2 2
1 2 1
0 2 1
1 1 1
0 0 2
10 7
0 1 2
2 1 3
0 3 2
3 3 2
2 1 0
1 0 3
0 1 3
3 0 0
2 2 2
3 1 2
10 4
3 3 2
2 0 2
1 2 2
3 2 3
3 2 2
3 0 0
2 1 1
2 3 2
1 0 3
0 0 1
10 6
0 2 1
2 2 2
2 1 0
1 1 0
1 1 1
0 1 1
1 1 2
2 1 1
2 2 0
1 2 1
10 2
2 1 2
0 1 0
1 2 0
0 2 0
1 2 1
2 0 2
2 2 0
2 1 0
0 2 2
1 1 1
10 3
0 2 0
3 1 0
0 3 0
3 1 2
1 3 0
1 3 3
0 2 2
1 1 2
3 0 3
2 3 1
10 2
2 3 1
0 3 2
2 0 0
3 3 2
1 3 0
2 2 2
3 1 2
0 0 3
3 3 0
3 2 1
10 4
1 1 1
0 0 0
0 2 0
1 2 0
2 1 1
1 1 0
2 0 2
2 1 2
1 2 1
0 1 2
10 5
0 1 2
0 2 1
1 2 1
3 3 2
2 2 2
3 3 1
0 3 3
3 3 0
2 1 1
2 0 2
10 5
0 2 1
1 1 0
0 0 2
1 1 1
2 1 1
1 2 2
2 1 2
2 0 1
1 0 1
2 1 0
10 5
3 1 3
3 2 2
1 1 2
1 2 0
2 2 3
2 1 1
2 2 0
0 0 0
3 0 0
0 2 2
10 3
2 2 2
2 0 2
0 0 0
0 1 2
2 2 1
2 1 2
0 0 2
1 2 1
0 0 1
1 2 0
10 3
0 2 1
2 1 2
0 1 3
0 1 1
3 2 1
1 2 3
0 1 0
2 3 1
0 0 1
3 0 0
10 6
0 0 0
3 3 2
0 3 3
1 3 2
0 0 1
0 0 2
1 2 3
1 3 1
3 0 1
2 3 2
10 7
1 0 1
0 2 2
3 2 2
3 0 3
2 2 2
1 3 0
3 2 0
3 3 2
1 3 3
1 0 0
10 9
2 2 1
2 2 2
2 0 0
1 1 0
2 1 0
0 1 0
1 2 0
0 0 1
1 2 1
1 1 1
10 9
0 2 0
1 1 1
1 2 0
2 1 1
1 2 1
0 1 0
0 0 0
2 0 2
0 1 2
1 1 0
10 7
2 0 2
1 0 1
1 1 1
0 1 1
2 1 0
2 0 1
1 2 0
1 0 0
0 0 0
1 2 2
10 4
2 0 0
1 2 0
0 0 1
1 1 2
2 2 0
0 1 2
1 2 2
1 1 1
0 2 1
2 2 2
10 3
0 2 0
1 1 0
0 2 1
1 2 0
1 1 2
2 1 1
0 0 0
0 1 2
1 2 2
0 1 1
10 9
2 1 0
1 1 0
0 0 2
2 2 1
0 2 1
2 0 0
0 0 1
0 2 0
2 0 2
1 0 1
10 9
0 0 1
3 3 2
2 3 3
2 2 0
2 0 1
3 0 2
1 0 2
1 2 0
1 3 0
3 2 1
10 6
1 0 1
0 0 1
1 0 0
0 1 0
0 0 0
0 1 1
0 1 2
0 0 2
1 0 2
1 1 0
10 5
2 3 1
3 1 1
0 1 1
1 2 0
1 0 1
1 1 3
2 3 0
2 1 0
3 1 2
0 0 3
10 8
2 3 3
1 3 1
1 0 2
1 0 1
3 2 2
1 3 2
2 2 2
3 2 3
3 0 3
1 0 3
10 4
1 2 0
0 2 2
1 0 1
0 2 1
1 2 1
1 1 2
1 1 0
2 2 0
0 0 1
2 0 1
10 8
1 0 0
0 0 1
0 1 2
0 1 1
2 2 2
0 0 0
1 2 1
2 0 1
2 2 1
0 0 2
10 6
2 2 0
3 3 3
3 3 0
0 0 1
0 3 0
1 2 1
0 3 3
2 3 2
2 2 2
3 1 2
10 7
1 2 1
0 0 0
2 2 1
2 2 2
0 1 0
0 0 2
1 2 2
2 0 2
2 1 2
1 1 1
10 2
0 2 2
0 1 1
1 2 1
1 2 2
1 1 1
2 2 0
0 2 0
2 2 1
1 0 0
1 0 2
10 3
0 2 0
0 1 0
2 1 1
2 1 0
1 2 2
2 0 2
2 0 0
0 2 1
1 1 0
1 0 1
10 2
2 1 2
0 3 1
2 2 2
3 1 2
0 3 0
3 0 2
2 1 3
3 0 1
1 2 1
3 2 3
10 7
0 0 1
1 0 2
1 2 2
1 1 0
0 1 2
0 0 2
1 0 0
2 0 1
2 1 1
0 0 0
10 5
2 0 1
2 3 2
0 3 2
1 3 2
3 1 1
2 1 1
2 1 0
0 2 2
0 1 2
3 2 1
10 6
1 1 2
1 3 0
2 0 2
2 1 1
3 2 0
0 0 0
0 3 0
1 2 0
3 1 1
3 1 3
10 6
1 0 0
2 2 1
2 2 0
1 1 1
2 1 2
0 2 2
2 1 0
2 0 1
2 0 2
1 0 1
10 3
1 0 2
0 1 0
2 0 1
2 1 1
2 0 2
0 0 0
2 2 0
0 2 0
2 1 2
2 2 1
10 7
1 3 3
0 0 0
3 3 3
2 1 3
2 1 0
3 2 1
3 2 2
3 3 0
0 1 3
0 1 1
10 7
1 1 2
0 0 0
2 0 0
1 0 1
0 2 2
2 1 0
2 0 2
1 0 2
2 1 1
0 2 1
10 3
0 0 2
0 1 1
0 1 0
1 0 1
1 1 1
0 2 0
2 0 1
0 0 0
2 2 0
0 0 1
10 2
1 0 0
1 0 3
0 3 1
3 2 0
2 1 3
1 3 2
1 1 0
0 2 0
0 3 0
0 3 3
10 9
0 2 2
2 3 0
3 3 0
1 0 2
2 2 1
0 0 2
1 2 0
0 3 3
0 1 3
2 0 2
10 5
1 2 1
0 0 2
2 1 2
2 2 2
1 2 2
2 2 0
1 0 0
2 0 2
0 2 0
0 0 0
10 4
1 2 1
0 3 2
3 3 2
0 0 2
1 3 2
2 2 2
1 3 0
1 2 0
1 1 2
3 0 1
10 3
0 1 0
1 3 2
0 0 0
1 0 3
0 1 3
2 0 3
3 2 0
3 1 2
0 0 3
1 0 1
10 7
1 0 2
2 1 1
1 2 2
1 0 1
2 2 0
2 0 1
1 1 2
1 0 0
2 1 2
1 1 0
10 8
1 0 0
1 1 1
1 0 2
2 0 0
0 1 2
0 2 0
0 2 2
1 2 1
1 2 0
1 1 2
10 2
0 0 0
1 2 1
2 2 1
1 2 3
0 1 0
2 0 0
0 1 2
2 0 2
0 1 3
3 0 0
10 4
2 3 2
2 1 1
3 3 1
3 2 2
3 1 1
3 3 3
0 1 2
1 3 3
0 2 2
1 2 2
10 3
2 1 0
1 1 2
2 2 2
0 2 1
1 1 1
1 0 0
2 2 0
2 0 0
2 0 1
2 1 2
10 6
1 1 0
0 0 0
2 2 2
1 2 0
2 1 0
0 2 2
0 1 0
2 2 1
0 0 2
0 0 1
10 4
2 1 3
2 2 1
0 3 3
1 0 3
1 1 2
3 2 3
0 2 2
1 1 0
0 0 2
1 1 1
10 8
3 2 0
2 0 3
3 3 3
1 2 0
1 1 1
2 3 0
0 1 0
0 3 0
1 1 3
1 3 1
10 6
0 0 3
0 3 0
3 1 0
2 3 3
1 3 3
1 1 0
0 0 1
1 3 1
0 1 0
1 0 1
10 3
0 0 1
2 0 0
1 2 2
1 0 0
0 1 1
1 1 0
0 2 1
1 1 1
2 1 2
0 2 0
10 9
2 1 3
3 1 2
2 0 2
2 3 0
1 3 2
2 2 1
2 2 2
0 2 3
1 3 1
0 3 1
10 6
1 1 0
1 1 1
0 0 0
2 0 0
2 2 0
0 2 2
0 2 0
2 2 1
0 1 0
1 2 0
10 7
3 2 2
0 1 2
1 0 2
3 2 1
2 1 0
0 1 1
3 3 1
3 3 2
3 0 1
1 0 1
10 2
2 1 3
3 0 3
0 0 1
1 3 2
2 0 3
3 1 0
0 0 0
2 0 2
3 1 1
2 1 2
10 5
0 1 2
0 0 0
2 3 0
3 0 0
2 2 0
3 1 0
3 0 1
0 3 2
1 0 0
1 0 3
10 3
3 1 3
2 3 2
1 1 2
2 2 0
3 2 2
1 0 3
2 0 2
2 2 2
2 0 3
3 2 1
10 5
2 0 3
1 1 0
0 1 2
0 1 1
2 3 2
3 0 1
2 1 0
0 0 0
3 1 2
2 2 2
10 9
0 0 1
3 1 2
1 2 1
1 2 2
3 3 0
2 2 2
3 1 3
2 2 1
3 2 2
1 0 1
10 8
0 0 1
2 1 0
1 2 0
0 2 2
0 1 1
2 0 1
1 0 0
0 2 0
2 0 2
0 2 1
10 2
2 2 2
2 2 0
0 2 1
0 0 1
1 1 1
1 2 2
1 0 0
0 2 2
0 0 2
0 2 0
10 6
3 0 1
1 2 0
3 3 1
0 1 1
2 3 0
3 0 2
0 1 0
2 0 0
1 0 1
0 1 3
10 6
3 2 1
3 0 3
2 2 0
2 1 2
2 0 1
2 3 1
1 0 0
3 0 2
3 1 3
1 2 3
10 4
2 1 3
2 3 0
3 2 1
1 3 2
0 0 1
3 1 2
2 3 3
0 1 2
0 2 2
3 2 2
10 5
2 0 0
0 1 0
2 1 2
1 1 0
0 0 0
1 1 2
2 2 1
1 2 1
1 0 0
1 2 2
10 2
2 1 3
0 1 0
1 1 3
2 3 3
3 1 1
0 3 1
0 0 1
0 1 1
3 3 1
0 0 3
10 4
2 0 0
2 2 0
0 2 2
2 0 1
2 0 2
0 1 2
0 1 0
1 2 1
2 1 1
0 0 1
10 9
2 0 3
0 3 1
0 0 1
1 1 3
0 3 3
2 1 3
1 1 2
0 0 3
0 1 2
1 3 3
10 6
2 0 0
1 1 1
0 1 2
0 1 1
1 0 2
1 0 0
2 2 1
1 0 1
2 1 0
2 2 2
10 3
2 2 0
3 3 0
1 0 1
3 0 2
1 2 1
0 3 1
0 2 1
0 1 0
0 0 1
0 3 0
10 9
1 3 2
0 3 0
1 1 0
2 3 3
1 1 1
3 0 0
2 0 3
0 3 2
2 2 1
1 0 1
10 2
1 3 3
0 2 2
3 3 2
3 2 3
3 0 3
3 1 3
0 1 3
0 0 1
3 2 1
1 0 0
10 5
1 2 0
1 1 1
1 0 3
3 3 2
1 3 3
1 3 0
2 2 3
0 2 1
1 0 0
3 1 3
10 7
2 2 1
2 2 0
2 1 0
1 1 0
2 1 2
1 2 2
0 1 0
0 2 1
0 1 1
0 0 0
10 5
1 3 3
0 1 0
0 1 3
0 3 0
3 3 0
0 3 1
1 3 2
3 3 3
1 0 3
2 1 2
10 7
0 2 0
1 1 0
2 1 1
1 0 1
0 1 0
2 2 2
0 2 1
1 0 0
0 2 2
2 0 1
10 3
2 0 2
2 1 2
0 1 1
0 1 2
0 2 0
0 1 0
1 2 0
0 2 1
0 0 1
2 0 0
10 9
1 2 2
0 1 2
1 1 0
2 2 0
0 2 2
2 1 2
0 0 2
0 1 1
0 0 1
2 0 0
10 7
0 3 2
0 3 0
3 2 3
0 0 3
3 1 2
2 0 1
3 2 2
1 0 3
0 2 0
2 3 2
10 5
2 2 2
0 1 1
1 1 0
2 1 0
1 2 0
2 1 2
1 0 0
0 2 0
1 1 1
0 1 0
10 5
2 2 3
2 3 2
3 3 2
2 0 0
2 1 0
0 2 1
3 2 0
2 2 0
3 0 3
1 1 2
10 5
0 2 1
1 0 2
1 0 3
3 2 3
0 2 0
2 0 1
1 3 2
3 0 0
0 3 0
3 1 3
10 6
2 0 1
3 1 1
3 3 2
2 2 3
2 3 1
1 1 0
2 3 2
1 0 3
1 1 2
2 3 3
10 6
0 0 0
2 3 3
0 1 1
2 2 0
1 3 2
3 2 1
3 1 1
1 2 1
2 1 2
0 2 0
10 5
2 2 0
1 2 0
2 2 1
2 1 0
0 0 0
1 0 1
0 1 1
2 0 0
0 2 0
1 2 2
10 3
2 2 1
0 1 1
1 2 1
2 2 2
0 3 0
1 0 3
3 0 0
0 0 2
3 2 1
0 3 2
10 4
1 0 0
1 3 1
0 1 1
2 2 0
0 2 2
3 0 2
1 0 3
2 3 1
0 3 2
2 2 2
10 6
2 1 0
0 0 1
1 2 1
0 1 1
0 2 2
2 2 1
1 0 2
0 0 2
2 0 1
2 2 2
10 4
1 2 2
1 0 2
0 1 1
1 0 1
0 0 0
2 1 0
2 2 2
2 0 2
2 2 1
0 0 2
10 9
0 1 0
2 0 2
0 1 3
1 0 3
3 1 3
0 1 1
3 2 1
2 3 3
0 3 0
1 1 0
10 7
2 1 1
2 2 0
2 1 3
2 3 1
0 1 3
3 2 1
0 2 3
1 0 2
0 2 0
1 0 3
10 6
2 2 1
3 2 3
0 3 0
2 2 0
2 2 2
3 0 1
3 0 0
1 1 3
0 3 3
1 2 2
10 5
2 3 2
0 2 1
1 2 3
1 2 2
1 2 0
2 3 0
3 2 0
0 2 0
1 3 1
0 3 2
10 3
0 2 2
0 1 2
0 1 0
0 0 0
1 2 1
1 1 1
2 2 0
1 0 0
2 0 1
1 0 2
10 2
1 1 2
1 3 2
1 2 2
2 2 2
0 2 2
3 1 3
1 3 1
2 1 0
0 0 1
3 1 1
10 8
1 1 1
1 0 0
0 2 2
0 0 1
0 1 2
2 1 1
2 2 1
1 1 0
2 0 0
2 2 0
10 2
1 3 2
3 2 3
3 1 2
0 2 1
3 1 1
0 3 1
0 1 1
2 1 3
0 2 2
0 0 1
10 8
2 0 2
2 2 2
0 1 2
1 0 2
0 2 1
0 2 0
0 2 2
0 0 0
0 1 1
0 0 2
10 4
0 1 1
3 3 2
0 3 2
1 0 2
1 3 3
2 1 3
0 3 3
0 0 2
1 1 0
0 2 2
10 7
1 2 1
0 0 0
0 1 2
2 2 0
0 0 2
1 1 1
1 2 0
2 1 0
0 0 1
0 2 2
10 4
0 3 3
3 1 1
0 3 0
2 1 1
1 3 3
2 0 1
1 0 1
2 0 0
1 3 0
3 2 2
10 3
1 0 1
3 1 2
2 0 0
2 3 0
3 3 3
3 3 2
0 3 0
0 0 0
1 1 3
1 1 2
10 3
0 0 3
1 0 2
3 2 0
0 2 0
2 3 3
0 3 1
3 3 2
0 1 0
3 3 0
2 2 3
10 2
0 1 3
1 1 2
3 3 3
1 3 1
2 0 3
3 1 1
0 0 1
3 3 2
1 3 0
1 1 3
10 6
3 2 1
1 3 1
0 2 0
0 2 1
3 3 2
1 3 0
3 0 1
3 1 2
1 3 2
1 2 1
10 7
2 0 2
0 2 2
1 1 1
2 0 1
2 1 2
0 1 2
2 2 1
1 2 2
0 1 0
2 2 2
10 3
0 2 2
0 1 0
1 2 1
1 0 0
0 2 0
0 0 1
0 0 2
2 2 1
2 0 2
0 0 0
10 6
1 3 2
1 1 2
2 1 2
1 1 1
3 3 2
0 2 2
3 1 0
2 0 1
3 1 2
1 0 0
10 3
1 2 1
1 2 2
1 1 0
2 1 2
2 0 0
0 0 2
2 1 0
0 1 2
0 2 1
0 0 1
10 6
2 0 3
3 0 0
0 0 1
0 3 3
0 3 2
2 2 0
1 1 3
3 3 1
1 3 0
1 0 3
10 2
2 0 3
3 3 2
1 1 2
3 2 0
1 1 0
3 1 2
2 3 1
2 2 1
1 2 0
1 3 1
10 5
0 1 2
0 3 2
1 3 0
2 0 1
0 0 2
1 3 2
1 1 0
1 3 3
1 0 0
2 2 2
10 9
0 2 0
2 2 0
1 1 0
1 0 0
2 2 2
2 0 2
0 2 1
2 2 1
0 0 1
2 1 2
10 4
1 1 0
2 0 2
0 0 0
2 1 2
0 2 0
2 0 0
0 1 0
0 0 1
0 2 2
0 0 2
10 7
1 2 3
3 0 0
0 1 3
1 3 3
2 0 2
3 3 2
1 3 1
1 0 1
3 2 1
2 3 3
10 4
2 3 2
3 0 3
2 2 0
1 3 1
0 2 3
0 1 2
0 1 0
2 2 1
0 0 1
1 0 0
10 2
3 1 0
0 0 0
0 3 1
0 2 3
2 3 3
1 2 3
3 2 0
2 0 1
2 2 1
1 1 0
10 4
0 3 1
0 2 1
0 3 0
2 3 2
0 0 0
2 0 3
3 3 0
1 1 0
3 3 1
1 2 3
10 7
0 0 2
0 3 0
0 1 3
0 0 0
0 2 0
1 2 2
1 0 1
2 1 1
3 1 2
2 3 3
10 9
0 1 1
1 1 1
1 2 1
0 2 0
2 1 2
0 1 2
0 0 0
0 2 2
1 2 2
0 1 0
10 7
2 1 0
2 0 1
2 1 1
0 2 0
1 0 1
0 0 0
0 0 2
2 2 1
1 1 1
0 2 1
10 9
1 2 1
0 0 2
1 0 0
1 1 2
1 0 1
2 1 1
2 2 1
2 1 2
1 2 0
2 0 2
10 6
1 2 1
2 2 0
1 0 0
3 1 0
0 0 0
3 3 0
0 3 3
1 3 2
0 1 2
1 2 2
10 3
2 2 3
2 0 0
3 1 2
1 3 3
1 0 0
3 0 0
2 0 3
3 2 0
0 3 2
3 0 1
10 4
3 3 2
0 3 1
0 1 1
3 1 1
3 2 2
2 1 0
2 0 2
3 2 1
1 0 2
1 2 3
10 4
2 1 0
2 2 1
1 0 2
1 1 2
1 0 1
0 1 1
1 0 0
2 0 2
2 0 1
0 2 0
10 6
1 1 1
2 1 0
1 0 0
2 2 2
2 0 0
2 2 1
1 2 1
0 1 1
0 1 2
0 0 0
10 3
0 2 2
1 0 1
0 1 2
2 2 1
2 1 1
0 0 2
2 2 2
2 0 2
0 2 1
1 1 1
10 9
0 2 0
1 1 0
2 2 0
1 1 2
0 0 0
1 0 0
1 1 1
2 0 0
0 0 2
1 0 1
10 7
2 0 0
2 2 1
2 2 0
0 0 0
0 0 2
1 1 0
1 1 2
0 1 0
1 2 0
0 0 1
10 2
0 2 1
0 2 0
2 2 0
0 1 1
0 1 2
2 0 1
1 2 1
1 1 0
1 0 1
2 0 2
10 9
3 2 3
1 0 0
0 2 2
2 1 2
3 3 1
3 1 2
0 3 1
0 0 3
0 2 0
2 2 3
10 6
0 0 2
0 1 1
1 2 1
2 0 1
0 2 1
0 2 2
2 1 0
2 0 0
1 1 2
1 0 2
10 2
1 2 0
2 2 2
2 0 0
1 0 1
0 1 2
0 0 0
1 2 1
1 0 0
2 1 2
1 1 2
10 4
3 3 0
2 1 0
1 3 2
2 0 1
2 1 1
3 2 3
0 0 3
0 2 2
3 3 1
1 0 2
10 6
2 2 2
2 0 2
1 1 2
1 1 0
2 1 1
0 2 1
1 0 0
2 0 1
0 1 0
1 0 1
10 3
1 1 2
1 2 2
0 1 0
2 0 0
0 0 0
2 1 2
2 1 1
0 1 2
2 2 2
2 2 1
10 4
1 0 1
0 0 1
2 1 0
0 0 0
0 0 2
2 1 1
1 2 0
2 2 2
2 0 0
2 2 0
10 4
2 2 2
1 0 1
2 0 1
2 1 0
2 2 1
0 2 1
0 0 2
2 1 1
1 2 2
0 1 2
10 6
2 2 0
1 1 2
1 1 1
0 1 1
0 0 0
1 0 1
1 1 0
2 1 2
2 0 0
1 2 2
10 5
0 2 1
2 3 0
3 3 1
1 2 3
0 0 1
1 3 1
2 2 1
1 0 0
2 0 2
2 0 1
10 6
0 3 2
2 3 1
0 2 0
1 3 0
3 2 2
2 2 3
0 0 1
0 3 0
3 0 3
0 0 3
10 9
0 1 1
0 2 2
1 1 0
0 2 0
0 1 0
2 1 2
1 2 1
2 0 2
0 1 2
0 0 2
10 3
0 1 3
1 3 1
1 2 2
1 0 1
3 0 0
2 2 0
2 0 3
3 2 2
0 2 1
2 1 0
10 3
3 2 2
1 3 2
0 1 2
1 2 0
2 3 1
3 0 3
3 2 3
0 2 3
0 1 0
2 1 1
10 9
1 0 1
2 1 1
0 0 1
2 1 2
2 1 0
0 0 2
2 0 2
0 2 2
0 2 0
2 2 1
10 5
0 0 2
1 3 3
3 1 2
0 1 3
0 1 0
1 1 1
1 0 2
2 2 3
3 1 3
1 2 3
10 9
1 3 3
1 3 0
0 3 0
0 2 3
0 1 2
2 0 1
3 1 2
2 3 0
0 0 3
0 2 0
10 4
3 0 0
3 3 2
0 2 1
2 3 0
1 2 2
0 3 1
0 2 0
1 1 3
0 1 1
0 0 0
10 2
2 0 0
1 1 1
0 0 1
2 1 0
1 0 2
1 2 0
0 2 2
1 2 2
1 0 0
2 2 1
10 2
1 3 2
0 1 0
3 1 3
3 2 1
2 2 0
2 1 1
2 3 3
2 0 2
0 2 0
3 0 1
10 7
2 2 2
0 2 1
1 2 0
2 0 1
1 2 2
0 0 1
2 0 0
2 0 2
2 1 2
0 2 0
10 8
2 0 1
0 2 0
0 0 2
0 2 2
2 0 2
0 0 1
1 0 1
1 1 1
1 2 2
2 2 0
10 4
0 1 2
3 3 1
0 0 1
2 2 1
3 3 3
1 0 2
3 2 0
3 3 2
1 1 0
1 2 0
10 4
1 2 1
0 1 0
0 1 1
1 0 1
2 1 0
1 2 2
2 0 0
1 1 2
1 1 0
2 2 2
10 2
3 1 2
1 2 0
1 0 3
0 0 0
3 0 0
1 2 1
0 0 3
1 3 3
3 1 3
3 0 1
10 4
3 2 0
1 3 0
1 1 0
1 2 1
3 3 1
2 1 2
0 0 3
3 3 3
0 2 2
1 2 0
10 9
3 2 3
1 2 1
3 0 1
2 1 2
2 3 3
0 1 0
0 3 1
1 0 0
3 3 0
0 2 3
10 9
0 0 1
1 1 0
2 0 0
0 2 0
2 1 0
2 1 1
0 2 1
1 0 0
2 0 2
2 2 1
10 3
0 2 0
2 2 0
1 2 0
0 0 1
1 1 1
0 2 1
2 2 2
0 0 0
2 2 1
2 0 1
10 9
0 1 1
3 2 0
2 0 1
1 0 1
1 3 3
2 2 0
2 1 0
3 1 3
1 0 2
3 1 1
10 9
0 1 2
2 0 3
0 1 0
3 2 3
0 1 3
2 2 1
2 1 0
0 1 1
3 2 2
1 3 1
10 9
2 2 0
1 2 2
0 2 2
0 1 1
1 0 0
2 2 1
2 2 2
0 0 1
2 1 2
0 0 0
10 9
0 1 1
1 2 1
1 1 1
2 1 1
2 2 0
1 2 2
1 0 2
0 2 1
1 1 0
0 0 1
10 3
0 1 2
2 1 1
0 2 0
1 2 0
1 1 2
1 0 1
2 2 0
2 1 0
1 1 1
0 0 1
10 4
1 2 2
0 1 2
0 2 2
2 2 1
1 2 1
2 1 2
1 2 0
2 0 2
0 1 1
2 0 0
10 5
0 2 2
2 1 0
1 2 1
2 2 0
0 2 1
0 0 2
1 1 1
1 1 0
0 1 0
0 0 0
10 8
3 2 3
2 3 3
0 2 2
2 2 1
1 3 1
3 3 3
0 3 2
3 0 0
2 2 0
2 0 3
10 4
2 1 1
1 2 0
1 2 2
0 2 0
0 0 0
1 1 1
0 2 1
2 0 1
0 0 2
1 1 0
10 4
1 0 3
2 0 0
3 1 1
1 1 0
1 3 1
2 0 2
2 1 2
2 3 1
2 3 2
3 0 1
10 4
1 0 1
2 0 0
0 2 0
0 1 0
0 0 2
0 1 2
2 1 1
1 1 2
2 1 0
0 1 1
10 4
3 1 1
2 1 0
1 0 1
0 3 1
0 1 3
1 3 2
2 3 1
3 2 2
2 2 3
0 2 1
10 8
0 0 0
1 1 0
0 2 0
1 0 0
2 2 2
0 0 1
2 0 1
1 2 0
1 1 1
1 0 1
10 3
2 1 0
0 1 1
1 0 2
2 0 0
2 1 2
0 0 0
0 0 2
1 0 1
2 1 1
2 2 2
10 7
0 2 2
2 2 2
3 3 2
0 0 3
0 1 3
3 0 3
3 0 0
2 1 0
1 2 3
3 3 3
10 2
2 2 1
0 0 1
1 2 1
1 1 1
0 2 2
2 1 2
1 1 0
1 0 2
2 0 1
1 1 2
10 8
2 2 2
3 2 3
0 2 0
2 1 1
3 1 0
3 3 3
1 0 3
1 2 2
1 3 3
3 0 1
10 8
2 0 0
0 2 0
2 1 0
2 1 2
0 0 2
2 0 2
1 0 0
1 2 1
2 0 1
1 1 0
10 3
3 2 0
1 2 0
1 0 0
1 3 0
1 1 1
0 2 0
1 3 3
0 3 0
2 0 3
0 1 0
10 3
2 0 2
2 1 1
2 1 2
2 0 0
2 0 1
0 1 1
0 2 0
0 0 0
2 2 0
2 2 1
10 7
3 3 0
3 2 2
2 0 3
1 0 0
3 3 1
3 0 3
2 0 0
3 0 1
3 3 3
1 2 3
10 7
1 2 0
0 2 2
2 1 1
0 2 0
0 0 1
0 0 2
2 0 2
2 0 0
1 1 1
1 2 1
10 7
2 2 0
2 0 0
1 0 2
1 0 1
1 1 0
1 2 2
2 1 1
0 0 2
0 1 2
2 2 1
10 5
2 3 0
0 0 1
2 1 1
0 3 1
1 2 3
1 3 3
2 0 1
3 0 3
3 3 3
1 3 1
10 5
2 1 2
0 0 1
1 2 0
0 2 0
0 2 2
2 2 2
1 0 2
1 0 0
0 1 0
0 0 0
10 2
1 3 1
2 3 1
0 0 0
2 0 1
1 1 0
0 3 2
1 3 3
3 1 2
1 1 3
2 0 0
10 7
1 1 0
0 1 1
0 0 0
0 2 1
2 1 1
2 2 1
2 1 0
1 0 2
0 2 0
0 2 2
10 3
3 1 2
0 1 1
2 0 1
3 3 2
2 0 0
2 3 3
0 3 3
1 0 1
0 2 0
2 1 2
10 7
2 3 0
1 3 0
1 0 2
2 3 2
2 2 1
3 1 0
2 1 3
3 2 1
3 0 2
3 3 3
10 2
0 1 2
2 2 3
2 2 0
3 3 0
2 0 0
1 2 1
1 2 0
2 0 3
0 3 0
2 0 2
10 4
2 2 0
0 2 2
0 0 1
0 2 1
2 1 2
1 2 2
2 2 1
0 1 1
0 1 2
0 2 0
10 4
0 2 0
1 0 2
0 0 2
1 2 1
1 2 2
1 1 0
1 1 2
1 1 1
2 1 0
0 0 1
10 9
1 3 0
0 1 3
0 2 0
2 2 1
3 1 1
1 1 3
0 0 3
2 2 3
3 3 1
0 2 1
10 6
2 1 0
0 0 1
0 1 0
2 0 1
1 0 2
2 0 2
1 1 1
0 2 1
1 0 1
1 2 2
10 3
2 0 1
3 3 2
2 1 3
1 2 1
3 3 3
1 3 0
3 0 0
1 1 2
1 2 3
3 0 3
10 6
2 2 1
3 2 0
3 3 3
3 3 2
3 1 3
3 0 3
0 3 1
0 0 0
1 3 2
2 0 3
10 7
1 2 1
1 0 1
1 1 2
0 1 0
2 2 3
3 3 0
2 3 2
3 0 1
1 1 1
3 1 1
10 5
2 2 0
2 0 0
1 1 0
0 1 1
1 0 2
2 2 1
1 2 0
0 0 0
2 1 2
1 2 1
10 4
0 2 2
1 0 2
0 0 0
1 0 1
2 2 0
1 2 1
1 1 2
2 1 2
2 2 1
2 1 1
10 7
2 2 2
2 1 1
0 0 0
0 2 2
2 1 2
0 0 1
1 1 0
0 2 1
0 0 2
1 2 2
10 4
2 2 2
0 1 3
0 0 2
0 1 2
0 3 3
0 1 0
1 3 1
0 1 1
1 0 2
3 2 0
10 9
3 0 0
1 1 3
1 0 3
3 0 3
0 1 2
1 3 3
2 2 0
2 1 1
0 0 1
1 1 1
10 9
0 2 1
1 2 3
0 2 0
0 1 2
0 3 0
1 3 1
1 0 0
3 1 0
2 3 0
3 0 2
10 5
2 0 1
2 3 1
3 1 3
0 3 2
3 3 2
2 0 3
1 3 1
1 1 3
0 0 1
2 0 2
10 7
2 0 1
1 1 3
2 3 0
1 0 3
0 2 3
3 3 3
1 0 1
3 2 1
1 2 1
3 0 2
10 9
2 2 2
0 3 2
1 0 2
3 3 1
3 0 1
0 1 0
0 0 0
1 1 2
2 3 2
1 1 1
10 7
2 0 3
3 2 0
1 0 2
1 2 2
0 1 1
3 3 1
2 2 2
1 1 1
1 2 0
0 3 2
10 9
1 2 0
1 2 1
2 1 1
0 0 1
2 2 1
1 1 2
1 1 0
2 2 0
2 0 1
1 1 1
10 5
2 0 2
1 1 2
0 2 1
0 1 2
1 1 0
2 1 1
0 0 0
2 1 0
2 1 2
2 2 1
10 8
3 3 2
3 0 3
3 1 0
0 2 0
0 0 1
1 3 3
2 3 1
3 3 3
1 3 0
3 0 2
10 6
2 2 3
2 2 1
3 0 1
1 2 0
3 2 0
0 2 2
0 2 0
3 0 0
1 0 3
1 0 2
10 6
1 2 1
0 1 1
1 2 2
2 1 0
2 2 0
1 2 0
1 1 0
0 0 2
0 2 2
2 0 0
10 5
0 2 2
2 2 0
2 2 1
2 1 2
2 0 0
0 1 0
2 2 2
2 1 0
1 2 2
1 1 1
10 7
3 2 1
1 1 2
0 2 2
2 0 0
3 0 3
2 3 3
0 1 3
1 1 0
1 2 1
3 3 2
10 3
3 3 2
3 3 3
0 3 2
3 1 3
1 1 0
2 1 0
3 1 0
0 0 0
1 0 1
2 2 0
10 3
2 2 1
0 1 2
0 2 2
2 1 2
2 1 0
1 2 2
1 0 0
0 0 0
2 1 1
0 1 0
10 7
3 0 3
3 0 2
2 1 0
2 2 1
3 3 0
2 1 1
1 2 0
1 0 3
3 0 1
0 0 2
10 6
1 2 2
2 0 1
0 2 1
2 2 2
2 1 1
1 0 0
2 0 2
2 1 2
1 2 0
2 2 1
10 9
3 2 2
0 1 0
1 2 3
0 3 3
2 2 0
1 2 0
1 2 2
2 1 2
2 1 3
3 2 0
10 3
0 1 0
0 1 1
2 2 2
1 2 1
2 1 1
2 1 2
1 0 0
2 1 0
1 0 1
2 0 2
10 5
3 1 2
0 3 0
2 0 3
1 1 2
0 3 3
2 2 3
3 1 1
0 0 3
1 0 1
1 2 1
10 2
2 3 1
2 1 0
0 2 3
3 0 0
1 3 2
1 0 0
0 3 3
3 3 2
3 2 2
2 2 0
10 8
1 0 3
0 2 2
2 2 0
0 2 0
3 1 1
3 1 0
1 1 1
0 2 3
3 0 2
0 1 0
10 2
2 2 2
1 2 3
2 2 1
3 0 3
1 1 2
2 2 0
2 1 2
1 0 0
3 2 1
1 2 2
10 4
2 1 0
1 2 2
2 0 1
1 0 0
0 2 0
2 1 1
2 1 2
2 2 1
1 1 0
1 1 2
10 6
0 3 0
2 2 3
0 0 1
3 3 2
2 2 0
0 2 2
2 2 1
0 3 2
2 1 2
0 3 3
10 5
1 1 3
2 2 1
0 1 0
0 3 3
2 0 2
0 0 3
0 0 0
0 1 2
3 2 3
3 1 1
10 2
1 1 3
3 2 0
0 0 2
1 2 1
3 0 3
3 1 3
2 2 1
1 1 1
3 3 3
0 0 1
10 8
2 1 1
1 1 2
1 0 0
0 2 2
0 2 1
1 0 2
2 1 0
1 0 1
2 2 2
0 1 2
10 4
0 1 2
0 0 2
0 1 1
2 2 0
0 2 1
1 2 1
2 2 2
1 0 0
2 2 1
2 1 1
10 4
2 1 1
3 1 2
2 0 2
2 2 2
0 3 1
3 1 1
0 3 2
3 0 2
3 2 2
1 2 1
10 2
1 1 0
0 1 2
1 2 1
2 0 2
1 0 2
0 1 0
2 0 0
2 2 0
0 2 0
2 1 1
10 8
1 2 2
2 3 1
1 1 0
0 1 3
3 2 3
1 0 0
2 2 1
3 0 1
1 1 3
0 2 3
10 4
0 3 0
1 1 1
0 2 3
0 3 1
2 3 1
3 1 2
2 1 3
3 3 1
2 0 0
3 3 3
10 2
0 1 1
0 2 0
2 1 0
2 2 2
0 0 2
2 0 1
1 0 1
2 0 2
0 2 2
0 0 0
10 7
2 1 1
2 2 0
1 2 0
1 0 2
1 2 1
2 2 1
2 0 1
1 1 0
0 0 2
1 0 1
10 7
2 2 1
3 2 1
3 3 3
1 3 2
2 0 3
2 0 1
3 0 1
3 1 0
0 2 1
1 0 2
10 4
1 0 0
2 2 2
0 2 2
0 3 3
3 0 2
3 0 1
3 1 2
3 1 3
0 0 0
2 1 0
10 8
0 3 1
2 3 2
2 1 0
1 0 1
3 0 2
3 0 1
2 3 1
1 0 3
2 0 1
3 3 3
10 2
2 2 2
1 0 2
2 3 2
1 2 2
0 2 2
0 0 2
1 3 2
2 3 3
1 2 1
0 1 1
10 4
1 1 1
0 2 1
1 0 0
1 1 0
0 2 0
0 0 1
1 2 0
2 0 0
2 1 0
0 1 1
10 5
0 0 2
0 2 2
0 2 0
1 2 1
2 1 2
1 1 2
1 2 2
2 0 1
0 1 2
0 0 1
10 7
3 3 2
0 0 3
3 1 3
3 3 3
0 2 0
3 0 1
2 2 3
3 1 2
0 3 0
3 0 3
10 4
1 0 1
0 3 2
0 1 2
1 1 2
0 2 3
2 3 1
2 1 3
1 3 1
1 3 2
2 0 2
10 3
2 3 0
0 2 2
2 3 3
0 1 0
1 1 2
3 1 1
0 3 2
3 3 0
2 1 0
2 0 1
10 7
0 0 0
3 1 2
0 3 3
0 2 3
0 2 1
1 2 2
3 3 0
1 2 1
3 2 2
1 0 1
10 7
0 2 2
3 3 3
0 3 0
1 2 2
0 1 1
1 3 1
3 0 1
0 2 3
0 1 0
3 1 0
10 8
1 2 2
3 2 1
0 1 3
2 0 0
1 2 3
2 2 1
2 1 2
2 0 1
1 0 2
0 1 1
10 9
2 0 2
3 0 3
0 1 2
2 1 0
0 3 3
2 1 3
0 1 3
1 0 0
2 2 0
0 1 1
10 2
1 0 1
2 0 1
2 0 2
0 0 1
0 2 1
2 0 0
0 1 2
0 0 2
0 2 0
1 2 2
10 8
2 2 0
2 2 2
0 2 1
1 0 2
0 1 0
2 0 0
1 1 1
2 0 1
2 1 1
0 1 2
10 5
1 2 2
3 1 1
1 0 3
2 3 1
1 0 2
3 3 1
0 0 0
3 3 0
1 0 0
0 2 3
10 7
2 0 2
0 2 2
1 1 0
2 0 0
2 2 1
2 2 0
0 2 1
0 0 1
1 2 0
1 2 2
10 6
1 1 1
3 1 0
1 2 1
2 0 3
3 2 3
1 1 2
0 0 1
2 2 0
2 0 0
2 1 1
10 4
0 2 3
2 0 3
3 2 2
1 2 3
2 3 1
1 0 1
2 0 2
0 0 0
0 0 2
3 2 3
10 3
1 1 0
0 2 2
1 0 0
2 2 1
2 0 1
2 1 0
0 1 0
2 1 2
1 1 1
1 2 1
10 2
0 0 1
2 1 2
0 2 2
0 0 0
1 1 2
2 1 0
0 2 1
1 1 1
0 0 2
1 2 2
10 6
2 0 1
2 1 1
1 0 2
2 1 0
1 2 0
0 3 2
1 1 2
0 1 3
0 0 0
2 2 1
10 8
3 1 1
2 1 1
3 0 3
1 2 1
0 1 1
3 3 3
2 2 0
2 1 3
1 1 2
1 2 0
10 3
1 2 2
1 2 0
1 0 0
0 1 2
0 2 2
1 1 0
1 0 2
2 0 1
2 2 0
2 1 0
10 7
0 2 2
1 1 1
2 1 2
1 2 0
1 0 1
1 1 2
0 0 2
0 0 1
0 1 1
2 1 1
10 7
2 2 0
3 1 0
0 0 0
3 0 0
1 1 2
2 1 2
3 0 3
0 2 2
2 3 1
0 2 3
10 5
3 2 0
0 3 1
1 2 1
1 2 0
1 2 3
2 0 3
2 0 1
0 1 3
0 3 2
0 2 1
10 8
0 1 3
0 3 0
0 0 1
1 2 1
3 0 0
3 3 3
2 3 0
2 1 1
2 2 3
1 1 2
10 6
1 0 1
1 3 3
3 3 1
0 2 2
3 3 3
1 3 1
3 1 0
1 1 1
1 0 2
0 0 2
10 6
0 0 0
1 1 1
0 1 0
1 1 2
2 0 1
1 2 1
1 2 0
1 0 1
2 1 2
0 0 1
10 6
0 1 2
2 2 1
1 0 1
0 2 1
2 3 1
2 0 1
3 0 2
3 1 1
0 3 3
2 3 2
10 4
1 1 1
3 3 3
0 2 1
2 0 2
0 3 1
2 0 3
1 2 0
3 3 2
0 2 0
0 1 1
10 3
1 0 0
2 1 1
0 1 0
3 0 0
2 3 1
2 0 0
2 0 3
0 1 3
3 3 3
1 2 1
10 8
1 2 1
2 0 2
2 2 0
0 0 1
1 2 2
0 0 2
2 1 0
0 1 2
2 0 1
2 1 1
10 2
1 3 3
0 0 1
0 3 3
0 1 2
1 2 3
2 1 0
0 2 3
2 2 1
3 3 2
0 1 1
10 3
2 1 1
0 1 2
1 2 2
2 0 1
1 0 1
0 2 1
1 0 2
0 2 2
1 2 1
0 0 1
10 6
2 2 2
0 2 3
0 3 0
1 3 2
0 3 2
3 2 1
2 3 3
0 3 1
3 2 0
0 1 2
10 4
2 0 2
0 0 2
1 1 1
0 2 1
0 1 0
2 0 0
2 1 0
2 1 1
1 0 1
2 2 2
10 9
1 3 3
3 3 3
3 1 3
0 3 1
2 2 2
1 2 2
3 3 2
2 3 2
3 0 2
3 3 1
10 7
1 0 2
0 1 0
3 2 2
3 2 0
1 3 3
2 2 2
0 3 0
1 2 1
2 0 0
3 1 0
10 5
2 1 2
3 3 1
2 1 1
0 0 3
0 1 0
3 1 1
1 0 2
0 2 0
1 3 2
2 1 3
10 3
0 2 0
2 2 2
0 0 2
0 0 1
1 1 0
0 1 1
1 1 1
0 1 2
0 2 1
2 0 0
10 3
1 0 1
0 1 0
0 2 2
2 1 0
0 0 2
1 2 1
1 2 0
1 1 2
1 1 0
0 2 1
10 8
1 1 3
3 0 2
0 1 2
1 1 0
1 0 1
2 2 0
0 2 2
1 1 1
2 3 3
2 0 3
10 8
1 1 2
2 2 2
1 0 2
2 0 0
0 2 0
1 2 0
2 0 1
2 1 1
0 1 1
2 2 0
10 7
3 0 1
0 2 1
0 2 2
3 1 1
3 3 1
3 2 2
0 1 0
0 0 2
2 0 2
2 3 2
10 2
0 0 2
0 0 1
2 2 0
1 2 1
1 1 0
2 0 1
1 2 0
0 2 1
1 2 2
1 1 2
10 2
3 2 2
2 3 1
2 1 0
1 2 0
3 0 1
3 0 3
0 1 2
1 3 1
3 2 0
1 3 3
10 8
0 1 2
2 2 2
2 2 0
2 0 0
2 0 2
1 0 0
1 2 2
1 0 1
1 2 0
1 1 1
10 7
0 0 2
2 0 2
2 2 2
1 1 2
0 0 0
1 2 0
1 0 1
0 1 1
1 2 2
1 1 0
10 7
2 1 2
1 2 0
1 0 0
1 0 1
2 2 2
2 1 0
1 1 0
2 2 1
1 1 2
0 2 2
10 5
1 1 0
2 0 0
2 0 1
1 1 2
2 2 2
2 1 1
0 1 0
2 2 0
2 1 2
1 2 0
10 5
0 2 1
3 2 0
0 2 0
2 2 0
3 1 0
1 3 1
0 3 2
2 1 0
0 1 3
3 3 3
10 6
2 2 0
0 2 0
0 0 0
0 2 1
1 0 1
2 0 0
2 0 1
1 1 1
2 2 1
1 1 2
10 3
1 2 2
1 2 1
2 0 0
0 1 2
1 1 2
2 2 2
1 1 1
0 0 1
0 1 1
1 0 1
10 3
0 3 1
3 1 2
3 3 1
3 0 3
3 1 1
1 3 2
0 3 3
2 1 1
2 3 0
3 3 0
10 4
3 3 0
1 2 2
1 1 1
1 0 0
0 1 1
0 0 0
0 0 2
1 0 2
0 0 3
0 3 1
10 5
2 0 2
1 0 0
2 2 2
1 2 2
1 2 1
2 1 2
0 0 0
0 2 0
0 1 1
1 1 1
10 5
1 0 0
2 0 1
1 1 1
3 3 0
3 1 2
3 0 0
0 2 1
1 3 1
0 1 0
3 1 0
10 4
0 0 0
1 3 2
3 3 3
2 1 0
2 0 0
0 0 3
1 2 1
3 0 0
3 0 2
0 1 0
10 9
0 2 2
2 1 1
0 2 1
1 2 2
0 0 0
2 1 2
0 1 1
0 1 0
2 2 0
2 1 0
10 7
2 0 2
2 2 3
0 0 0
0 2 0
2 0 3
3 0 2
3 0 3
3 3 3
0 1 3
0 2 1
10 6
1 3 1
3 1 0
1 3 3
0 2 1
3 1 3
1 0 2
2 2 1
2 1 3
0 0 1
3 2 3
10 8
0 3 3
2 1 1
0 0 2
2 0 2
0 3 0
1 0 1
3 0 1
2 1 0
1 3 1
3 2 2
10 5
0 2 2
0 0 2
1 0 1
0 2 1
2 1 1
0 0 1
2 1 0
0 2 0
1 1 2
2 0 2
10 7
2 0 3
3 3 3
2 2 1
2 3 3
0 0 0
0 0 1
0 0 2
0 3 3
3 2 3
1 3 2
10 5
2 0 0
1 0 2
2 2 2
2 2 1
0 2 0
1 1 2
2 0 2
0 1 1
0 2 1
0 1 2
10 7
2 2 0
1 2 3
1 1 0
0 2 3
0 1 0
0 3 1
1 1 1
3 2 1
0 3 2
3 0 2
10 3
1 0 3
1 1 1
3 2 0
0 2 2
2 2 2
3 3 1
2 0 1
1 2 2
2 2 3
3 0 1
10 9
1 0 2
1 1 0
1 1 1
0 2 2
3 0 3
0 2 3
2 3 0
3 1 0
2 0 2
2 0 1
10 4
0 1 0
0 2 1
1 0 1
2 0 1
1 2 1
2 1 0
2 1 1
1 1 0
2 0 0
1 0 2
10 3
1 3 3
2 2 2
3 0 0
3 3 0
1 2 1
3 2 1
1 0 0
2 1 0
2 2 3
2 0 1
10 4
2 2 0
2 0 1
2 1 0
1 2 1
1 1 1
0 0 1
2 0 2
0 2 0
2 0 0
1 1 0
10 3
1 1 3
1 2 0
0 3 3
3 3 0
0 3 2
1 3 2
2 2 3
3 1 1
1 2 3
3 2 0
10 6
1 1 0
1 0 0
1 2 2
2 0 2
2 0 0
1 0 2
2 2 0
0 0 0
2 1 2
0 2 1
10 6
2 1 1
0 1 0
2 1 0
1 2 2
1 1 2
2 1 2
2 0 0
1 2 1
1 1 0
0 1 1
10 9
3 0 0
1 2 1
1 2 0
2 2 1
0 0 3
1 0 3
0 3 3
2 0 3
3 2 3
2 0 0
10 8
3 2 0
2 0 3
1 0 1
1 1 3
1 2 3
2 1 1
0 2 3
2 3 3
3 0 3
3 3 2
10 2
0 0 3
2 0 3
1 2 1
1 1 2
3 0 1
1 0 1
0 2 2
2 1 2
3 0 0
3 1 3
10 2
0 0 0
1 2 2
2 1 2
0 2 1
2 0 1
1 2 1
0 1 0
0 0 2
1 2 0
2 0 2
10 5
1 2 0
1 2 1
0 1 1
1 1 2
1 1 1
2 1 0
1 0 0
2 2 1
2 1 1
0 1 2
10 2
1 0 1
2 2 2
1 1 1
1 2 1
2 1 2
0 2 1
1 1 2
1 2 0
0 0 0
2 0 2
10 3
2 0 0
2 3 3
3 2 2
0 2 2
1 2 0
3 3 1
2 1 3
1 2 1
2 0 2
0 0 3
10 7
3 2 2
3 0 2
0 3 1
2 2 0
1 0 0
0 3 0
1 2 1
0 0 0
1 3 2
2 0 0
10 6
0 2 3
3 1 2
1 0 0
2 1 2
0 1 3
2 3 1
1 1 3
2 1 0
3 1 1
3 0 2
10 6
1 2 2
0 0 0
2 1 1
1 1 0
2 0 0
1 2 0
0 0 1
2 1 2
2 2 1
1 0 0
10 3
3 1 2
0 2 1
1 0 2
3 2 1
2 2 0
1 1 0
3 1 0
0 0 3
3 1 3
1 1 1
10 7
1 3 3
3 3 1
1 1 1
0 2 1
2 2 3
1 0 1
2 3 2
3 1 1
1 3 2
0 0 3
10 9
1 1 1
1 0 0
2 2 2
3 1 1
1 2 3
3 0 2
2 1 2
0 0 3
2 3 2
1 2 0
10 9
0 2 1
0 1 2
2 1 2
0 0 0
1 0 0
0 2 0
1 2 0
1 0 2
2 2 0
1 1 1
10 3
1 0 3
1 2 0
3 2 3
3 2 2
2 0 0
0 3 1
3 2 1
3 2 0
0 0 0
1 3 3
10 4
2 2 2
1 1 2
0 0 1
1 0 0
1 2 1
0 2 2
2 0 0
0 2 0
2 1 2
1 1 0
10 9
0 1 1
0 2 1
1 0 1
0 0 1
1 2 2
0 1 0
1 1 2
0 0 0
0 2 0
0 1 2
10 9
0 2 0
1 2 2
0 1 0
1 1 0
0 1 2
2 0 1
1 0 2
2 2 0
2 1 1
1 2 1
10 5
1 1 2
0 0 2
3 0 0
2 3 0
3 1 2
1 2 0
2 3 3
1 1 1
1 0 1
3 1 3
10 5
0 3 3
3 1 0
2 0 1
1 3 1
1 0 2
3 1 1
1 2 0
2 0 3
1 1 1
2 3 3
10 4
1 1 2
3 0 2
0 2 3
3 3 3
0 0 2
2 1 0
0 3 1
0 0 1
2 2 2
2 0 1
10 6
0 0 0
2 0 0
2 1 1
3 0 1
2 1 3
3 0 2
0 1 3
2 3 1
2 0 1
1 1 3
10 3
0 0 2
1 2 2
2 1 2
1 0 2
0 2 0
2 0 1
1 1 2
0 1 0
0 0 1
2 2 0
10 9
2 0 0
3 2 1
0 1 0
1 1 2
3 3 0
0 3 2
3 1 1
1 2 2
1 3 1
1 0 2
10 8
1 0 0
2 2 2
1 3 0
3 0 2
1 1 3
0 3 2
3 1 3
3 0 3
3 3 1
0 3 0
10 2
0 2 0
0 3 1
0 3 3
2 3 3
3 0 3
0 3 2
1 2 0
3 2 3
2 3 2
3 1 3
10 3
0 1 1
1 2 2
1 0 2
0 2 1
2 0 1
0 2 0
0 0 2
2 1 1
2 2 2
2 2 1
10 4
0 1 0
2 1 2
1 1 0
0 0 2
1 0 2
0 2 2
0 0 0
2 2 1
0 1 2
1 2 1
10 6
2 0 2
3 3 3
0 1 3
1 0 3
3 0 0
0 0 3
3 1 1
2 0 3
0 3 1
2 3 3
10 6
1 2 1
3 2 1
3 1 1
1 1 2
1 0 3
1 0 2
3 3 3
0 0 2
1 1 1
1 2 0
10 4
2 0 3
0 2 0
3 2 0
1 3 3
1 0 0
3 3 3
0 1 1
3 0 1
2 2 1
1 0 1
10 5
1 2 1
2 0 2
1 0 1
3 2 3
1 0 3
3 1 0
2 1 0
2 0 3
1 2 0
2 1 2
10 3
0 2 3
2 3 0
2 0 2
0 0 2
3 3 3
2 2 2
1 1 1
3 1 0
2 3 2
1 3 3
10 7
2 1 0
1 2 1
1 1 1
2 1 2
0 2 0
0 0 2
2 0 0
1 0 1
0 0 1
0 1 2
10 9
1 1 2
2 2 0
1 2 0
2 2 1
2 2 2
1 1 1
0 0 1
0 2 1
1 1 0
0 1 2
10 8
3 2 0
3 1 1
2 0 2
1 3 3
2 2 2
0 0 1
0 3 3
3 0 2
3 2 3
3 0 3
10 2
1 3 2
2 3 1
1 1 2
2 1 1
2 1 0
2 3 2
2 0 2
1 1 0
3 2 3
1 0 3
10 7
0 1 2
0 0 0
1 2 2
0 2 1
0 1 0
2 1 2
1 0 2
2 2 1
1 2 1
2 2 0
10 6
1 2 1
0 0 0
1 1 2
1 2 0
1 0 0
0 0 2
2 1 1
0 2 1
2 2 2
1 2 2
10 6
0 2 0
1 2 1
2 2 2
1 0 1
1 2 2
0 2 1
1 0 0
0 1 1
2 1 2
2 1 1
10 5
2 3 0
0 3 2
0 0 3
2 3 1
3 2 0
2 0 3
0 0 1
2 1 3
0 1 3
3 1 3
10 2
2 2 0
2 2 1
2 1 1
0 2 2
1 0 1
0 0 1
0 0 0
2 1 0
1 0 0
0 1 2
10 8
2 0 0
0 0 1
1 1 0
0 2 2
2 2 1
0 1 2
2 0 2
1 2 2
2 1 0
1 0 0
10 9
0 2 3
0 2 0
3 1 1
2 1 0
1 1 0
0 0 2
3 3 0
1 0 2
2 0 1
0 3 2
10 5
2 0 0
0 0 2
0 2 0
2 1 1
1 2 0
2 2 1
2 2 2
0 2 1
1 2 2
1 2 1
10 8
1 0 2
2 1 2
3 3 3
1 0 0
0 0 0
3 1 3
3 0 3
1 0 1
2 0 1
1 1 1
10 7
1 0 3
3 2 3
2 1 0
2 3 0
2 1 1
3 2 2
0 0 1
0 2 1
1 0 1
0 2 2
10 6
1 1 0
1 2 0
2 1 2
0 0 1
0 3 2
3 1 1
2 3 0
0 0 3
3 0 3
0 3 0
10 2
0 2 0
2 0 1
1 1 0
2 3 3
3 0 2
3 1 3
3 3 2
3 0 3
0 0 1
1 0 1
10 8
1 0 2
3 3 1
1 3 1
1 3 2
1 1 0
3 2 2
3 3 0
3 3 3
2 2 1
3 2 0
10 6
0 1 1
2 0 0
1 1 0
1 2 2
2 2 1
0 0 1
0 2 2
0 1 0
2 2 0
2 2 2
10 2
0 2 1
2 0 0
0 0 2
2 0 2
1 2 1
0 1 0
0 2 0
2 1 1
2 2 1
0 2 2
10 3
2 2 0
2 2 1
2 0 1
0 0 1
0 2 2
1 2 3
0 1 1
0 3 3
2 3 3
2 1 0
10 5
1 2 0
2 0 0
0 3 1
3 3 0
3 2 1
1 3 0
2 3 0
2 2 3
1 2 2
3 2 2
10 8
3 3 2
3 0 0
1 3 3
0 1 2
2 3 2
1 1 1
3 0 3
3 2 3
1 3 2
2 1 2
10 9
0 1 0
0 2 2
2 0 1
1 1 0
0 0 0
0 2 0
1 1 1
1 1 2
1 0 1
0 0 2
10 8
0 0 1
1 3 1
1 1 0
1 1 2
1 0 1
0 0 2
0 1 2
3 1 2
0 0 0
2 2 1
10 7
2 0 3
1 3 1
3 2 2
0 2 0
3 3 1
2 3 3
3 1 2
1 3 2
3 2 0
1 3 0
10 6
3 0 3
1 1 0
1 0 0
2 0 0
0 3 2
3 1 3
3 0 0
2 3 3
3 0 2
2 2 3
10 4
1 3 0
0 1 0
2 3 3
0 2 0
3 1 3
2 1 3
0 3 1
2 0 1
2 0 0
3 3 0
10 8
2 3 2
3 0 1
2 0 1
2 2 1
1 1 0
0 0 1
2 1 1
3 1 1
1 1 2
3 2 1
10 2
1 1 0
0 3 0
3 3 1
2 3 0
2 2 0
3 2 1
0 0 0
3 3 0
1 0 3
2 1 3
10 6
2 0 1
0 1 1
0 2 2
1 0 2
0 2 1
2 0 0
2 1 0
1 1 0
2 1 1
1 2 2
10 3
0 2 0
0 1 1
1 2 1
0 2 1
2 0 0
2 0 1
2 1 1
1 0 1
1 1 1
2 2 1
10 5
2 1 1
0 1 2
0 2 3
2 3 2
2 3 1
3 2 0
3 0 2
2 0 0
1 1 1
3 0 0
10 7
2 0 1
0 2 2
2 1 2
1 1 2
3 3 1
3 3 0
3 2 1
0 0 1
3 1 1
3 3 3
10 9
1 1 0
1 1 2
1 2 1
3 2 3
3 1 1
1 0 2
3 1 0
2 1 1
3 3 3
3 2 1
10 5
0 2 2
1 2 1
2 2 0
1 0 2
2 1 0
0 1 1
2 1 2
1 2 2
2 0 1
1 1 1
10 4
1 0 2
1 0 1
2 1 0
1 2 1
1 2 2
2 0 0
1 1 0
2 2 0
0 2 1
0 0 0
10 6
2 3 2
1 3 3
0 3 3
0 3 1
3 2 3
0 1 1
2 2 0
1 1 0
2 0 0
1 2 3
10 7
0 0 0
3 2 0
0 0 2
2 2 1
1 3 2
3 2 3
0 3 2
1 3 0
2 0 1
3 0 1
10 8
2 3 1
1 2 2
2 3 0
2 0 1
1 3 3
0 1 1
2 1 0
1 1 2
2 0 2
3 0 1
10 9
3 1 1
1 2 3
0 1 3
3 0 1
0 3 0
0 3 2
1 0 3
2 2 1
3 3 3
2 1 1
10 9
0 0 1
2 1 0
1 1 0
3 2 3
2 1 3
1 3 2
3 0 2
2 0 2
1 0 2
1 1 2
10 4
2 0 0
0 1 2
1 1 2
2 2 2
0 2 2
1 1 0
1 2 1
2 1 1
2 0 2
1 2 0
10 3
2 1 1
2 0 1
1 2 2
2 2 2
1 1 0
1 1 2
0 0 0
2 2 0
0 1 2
0 1 0
10 4
2 2 1
0 1 1
1 0 1
0 1 0
2 1 0
0 0 0
2 0 1
0 2 0
0 1 2
0 0 1
10 4
1 0 2
2 3 1
0 2 2
2 1 0
0 3 3
2 3 3
2 2 1
0 1 3
1 3 1
0 0 0
10 6
0 0 0
1 0 0
1 1 2
0 2 0
0 2 1
1 2 1
1 0 1
2 2 0
2 2 1
1 1 0
10 8
0 1 0
2 2 1
1 2 1
0 2 0
1 1 0
0 1 2
2 0 1
0 0 1
1 0 0
0 0 0
10 5
0 3 1
3 3 2
0 3 3
1 3 0
0 2 3
3 3 1
2 3 1
3 0 0
3 2 1
0 3 2
10 6
0 2 0
0 1 2
3 3 2
1 1 3
0 2 3
2 3 0
3 1 0
1 3 2
3 0 1
1 1 2
10 7
1 2 0
0 2 1
0 0 0
1 1 2
1 2 2
1 2 1
0 0 2
2 0 1
2 2 1
0 2 0
10 5
3 1 3
3 1 2
2 0 1
1 1 2
0 2 3
0 3 3
3 0 1
2 2 1
1 0 2
3 2 0
10 8
1 2 0
2 0 2
2 2 0
1 0 2
1 2 1
2 1 2
0 1 0
2 1 0
1 0 0
2 0 0
10 4
0 3 0
3 1 0
0 1 3
3 3 2
3 3 0
3 2 0
0 1 1
0 0 1
3 1 1
1 0 3
10 3
2 1 3
2 2 0
2 2 3
0 3 2
3 1 0
1 2 2
0 0 2
1 3 2
0 2 1
2 1 2
10 8
2 2 2
0 2 2
0 1 0
2 0 1
0 1 1
1 1 2
2 0 0
1 0 2
0 1 2
2 0 2
10 6
0 1 1
1 0 2
2 1 2
1 2 2
1 0 0
2 1 0
0 0 0
0 1 2
1 2 0
0 2 2
10 8
0 1 2
1 0 2
2 2 2
2 2 1
1 1 1
1 2 1
0 1 1
1 1 2
1 1 0
2 1 1
10 9
2 0 1
0 1 2
2 1 1
1 1 2
2 2 1
2 0 2
0 1 0
2 0 0
0 2 1
1 2 0
10 5
1 1 1
2 1 0
0 2 0
0 1 0
2 0 1
2 1 2
1 0 0
1 1 2
0 1 2
2 0 0
10 9
2 0 2
2 2 2
0 1 2
1 0 0
0 2 1
1 1 0
1 2 1
2 1 2
0 0 1
0 2 2
10 7
3 1 3
1 3 2
3 0 1
1 1 2
2 2 2
3 1 0
2 0 2
0 3 1
1 1 3
2 2 3
10 5
0 0 2
0 0 0
0 0 1
1 2 0
1 0 0
1 1 1
2 0 1
1 2 2
1 0 1
0 2 0
10 5
3 1 3
3 1 0
1 0 0
2 1 2
0 0 1
1 3 3
2 0 3
1 3 2
0 3 2
2 1 3
10 4
0 2 0
1 2 1
0 0 2
2 1 1
2 2 2
2 0 2
0 0 0
0 2 1
1 1 1
1 2 0
10 5
2 1 3
2 3 3
2 1 2
1 2 1
2 3 2
1 3 2
2 2 2
3 1 3
2 1 1
0 2 1
10 8
1 2 1
1 0 0
0 1 0
1 1 0
1 2 0
2 0 1
0 2 2
1 2 2
2 1 2
0 1 1
10 6
0 2 1
0 1 1
0 3 3
3 1 3
0 0 0
2 1 0
0 0 1
3 0 0
0 2 2
2 0 3
10 5
2 3 2
1 3 0
1 3 3
0 3 1
0 2 0
1 0 1
0 3 0
1 3 2
3 1 3
1 2 1
10 9
1 2 1
0 1 0
0 0 2
1 0 2
1 2 0
0 1 1
0 2 1
0 2 0
2 1 2
1 0 0
10 9
0 0 2
2 2 3
1 0 1
0 1 2
1 2 0
1 2 1
2 0 1
1 3 3
2 1 3
3 3 1
10 4
1 1 2
2 0 1
2 0 2
2 1 1
1 2 1
0 0 0
2 2 1
0 0 2
0 2 0
0 1 2
10 9
0 2 2
2 1 1
2 2 0
0 1 2
0 1 0
2 0 2
2 2 1
1 0 2
2 2 2
0 2 0
10 2
0 2 1
2 2 0
2 0 0
1 1 2
1 1 0
0 2 2
1 0 1
2 1 1
2 0 1
0 1 2
10 9
3 3 0
3 1 3
2 1 3
0 2 3
2 2 3
3 3 3
2 1 0
3 2 0
2 2 0
0 3 0
10 2
0 2 1
0 0 2
1 1 0
0 2 2
2 1 2
0 1 0
2 2 1
2 2 2
0 0 0
0 0 1
10 7
1 0 1
0 0 2
0 0 1
1 0 0
1 1 2
2 0 0
0 0 0
2 1 0
0 1 1
2 0 2
10 7
0 3 1
0 1 1
3 3 2
1 1 0
0 3 2
2 3 1
3 2 2
1 0 1
1 2 1
3 0 3
10 4
3 1 1
1 1 2
2 3 1
1 2 1
0 0 3
3 1 2
0 0 2
3 3 3
2 0 2
2 3 3
10 8
2 1 0
0 2 0
2 2 0
2 1 2
0 2 2
1 2 1
0 1 0
1 2 0
1 1 1
0 1 2
10 2
1 3 2
2 2 0
0 2 1
1 0 2
1 2 2
1 2 0
1 1 2
1 0 3
3 2 0
3 2 2
10 3
2 1 1
0 3 0
3 2 0
2 1 0
3 3 2
3 0 2
2 2 0
0 0 1
0 2 3
1 3 3
10 6
0 2 0
0 1 1
2 2 3
0 3 0
2 3 3
0 2 3
3 3 3
1 0 2
0 1 2
2 3 1
10 6
3 2 1
2 3 2
3 3 1
2 1 2
2 0 0
3 0 1
0 3 0
0 1 2
2 1 0
0 1 3
10 8
2 1 3
3 0 0
1 3 3
0 0 2
3 0 2
0 2 0
1 0 3
1 1 3
1 0 0
3 3 3
10 9
1 1 0
1 1 2
0 0 0
2 1 2
0 1 0
0 1 1
1 0 0
2 0 0
1 1 1
2 2 2
10 8
0 1 1
1 1 1
1 0 0
0 2 1
1 0 2
0 2 2
0 0 0
1 1 2
0 1 0
0 2 0
10 9
0 1 2
0 3 0
3 0 3
3 1 3
0 0 2
2 1 3
3 1 0
0 3 1
1 3 3
0 2 3
10 9
0 3 2
3 2 0
2 1 2
0 2 1
0 2 3
1 2 0
2 0 3
0 2 0
2 0 0
0 3 0
10 6
1 1 1
0 0 0
0 1 0
2 0 2
0 0 1
2 1 1
2 2 1
0 2 1
2 2 2
2 2 0
10 3
2 2 1
1 2 0
2 1 2
0 0 1
2 1 1
0 0 0
0 2 0
0 1 2
1 1 2
2 0 1
10 2
0 2 2
2 1 2
2 2 1
1 1 0
0 0 0
1 1 2
2 2 0
1 2 2
2 0 1
0 2 1
10 5
3 2 0
2 0 3
0 2 1
3 2 2
1 1 0
1 0 0
3 0 3
0 3 1
2 2 1
0 1 0
10 2
2 1 2
2 1 0
1 2 2
0 1 2
2 0 2
1 2 1
2 2 1
1 0 1
0 0 2
1 0 0
10 2
3 1 3
2 3 2
0 2 2
0 3 3
2 3 1
2 3 3
0 0 2
1 3 2
2 0 0
1 2 2
10 9
0 1 0
1 1 1
1 1 2
0 2 2
2 1 1
0 2 0
1 0 0
2 0 0
2 0 1
0 0 0
10 2
3 3 0
3 0 2
1 0 3
2 2 0
0 3 1
3 0 1
0 0 2
2 2 1
0 1 1
1 2 3
10 8
0 1 0
0 0 2
2 1 1
2 1 2
1 1 0
2 2 2
0 2 2
1 2 0
1 0 2
2 2 0
10 3
2 1 1
3 0 1
1 1 2
0 2 1
2 2 3
3 2 0
1 1 1
2 0 2
0 0 0
1 3 3
10 4
3 1 2
0 2 3
3 1 1
3 2 2
2 2 0
0 3 3
3 2 1
3 0 1
2 2 1
2 2 3
10 2
0 0 0
1 2 0
0 1 0
0 0 2
3 1 1
0 3 1
1 1 3
1 3 0
2 3 1
1 0 1
10 6
0 0 1
1 0 0
2 1 1
2 0 1
0 2 2
1 1 2
1 2 0
0 2 1
1 0 2
0 1 1
10 8
0 0 2
0 2 2
0 2 0
1 1 0
1 2 1
2 0 1
1 0 1
0 0 0
2 2 0
2 0 2
10 3
1 1 2
2 1 2
2 0 0
1 2 0
2 0 2
0 2 1
1 2 1
0 2 2
1 0 1
1 1 0
10 7
2 3 0
0 0 1
2 0 3
3 0 0
0 3 3
0 2 2
0 2 1
2 3 3
2 1 1
2 2 0
10 4
2 1 0
1 2 1
0 2 0
1 1 1
1 2 0
2 0 1
2 2 1
0 1 1
2 1 1
0 2 2
10 8
2 1 3
2 3 0
2 0 3
0 0 1
3 1 0
2 3 1
3 3 1
1 0 1
3 1 3
1 3 3
10 5
1 1 3
2 1 1
1 0 2
1 1 0
1 3 2
1 0 3
1 1 1
3 2 1
2 2 2
0 3 0
10 8
0 1 1
0 0 2
1 2 0
1 2 1
2 2 1
2 1 0
2 1 1
2 0 2
2 1 2
0 0 0
10 4
2 0 2
1 3 3
2 0 1
2 2 1
3 0 2
3 2 2
0 0 0
2 2 2
1 2 2
3 3 2
10 8
0 0 3
3 0 1
0 2 2
0 3 1
1 0 2
1 2 1
3 1 0
2 1 2
3 2 2
2 3 3
10 4
2 3 2
1 1 3
3 3 3
0 1 0
2 1 0
0 3 2
0 2 2
3 3 2
1 1 0
0 2 0
10 5
0 1 3
2 2 1
0 2 3
3 3 2
0 2 0
1 3 1
2 0 2
2 2 0
3 1 0
3 3 3
10 5
0 1 0
1 2 1
2 1 2
1 1 1
1 0 2
0 2 2
2 0 1
1 2 2
0 1 2
2 2 2
10 3
0 2 2
2 1 1
1 0 2
1 2 1
2 2 0
0 2 1
1 0 0
1 2 0
0 0 2
0 1 0
10 3
3 2 2
1 3 3
3 3 1
1 2 3
0 3 0
1 3 2
0 1 3
0 3 3
2 2 0
0 3 1
10 9
0 2 2
2 1 0
1 1 0
0 0 2
0 1 0
2 0 1
2 2 0
1 0 2
1 0 1
2 2 1
10 4
0 0 0
3 2 2
3 0 0
1 0 0
2 0 0
2 3 1
0 1 2
0 2 2
0 0 2
3 1 2
10 3
0 3 2
2 0 3
0 0 2
3 2 2
2 0 1
2 3 2
1 2 3
2 2 1
0 2 0
1 1 0
10 5
3 3 0
1 2 0
2 3 0
3 3 1
1 3 3
0 1 2
3 2 1
3 0 1
2 2 1
1 0 1
10 4
3 2 3
3 2 1
2 0 1
2 3 0
1 3 2
0 0 0
2 1 3
2 1 1
0 2 1
1 0 3
10 7
0 0 1
2 1 1
1 2 0
1 2 1
0 0 0
2 0 1
1 0 1
1 0 2
0 2 1
2 0 2
10 3
1 0 0
0 2 0
2 2 0
2 0 1
0 0 1
1 2 1
1 0 2
0 2 2
2 2 2
0 0 2
10 7
2 0 1
2 1 3
2 3 1
1 0 1
1 2 0
0 0 1
3 3 3
2 0 2
3 2 1
0 3 3
10 2
0 2 0
3 2 0
1 3 3
1 1 1
3 0 1
3 1 2
2 3 3
3 1 0
3 3 1
1 2 1
10 7
2 2 3
1 1 1
3 3 1
0 3 0
1 0 1
0 0 1
3 0 2
0 2 2
2 2 0
3 1 0
10 3
2 1 1
0 2 0
2 0 2
0 2 1
1 0 0
0 1 0
1 1 1
0 0 0
0 2 2
0 1 1
10 5
1 1 0
2 1 1
2 0 0
1 2 1
1 0 2
0 1 1
1 2 0
0 2 1
0 0 0
1 1 2
10 2
3 2 1
2 0 2
0 3 2
2 1 1
1 0 1
1 2 2
0 0 0
3 3 3
0 3 1
3 0 0
10 8
0 2 0
2 0 1
1 2 2
1 1 1
1 2 1
2 1 2
1 1 0
0 0 1
2 2 0
1 0 1
10 6
0 1 0
0 0 1
1 2 1
1 0 1
2 2 0
2 1 1
0 2 1
2 2 1
1 0 0
0 0 2
10 9
1 1 0
1 1 1
3 1 2
1 0 1
1 0 0
0 3 3
0 2 0
1 2 3
0 0 3
0 3 1
10 9
0 0 3
0 3 2
1 3 1
0 2 0
1 1 1
3 3 2
3 0 0
3 1 2
3 0 3
0 1 0
10 5
0 2 0
1 0 0
2 3 1
0 2 3
2 3 3
2 1 3
0 3 1
1 2 1
2 3 0
2 2 1
10 7
1 1 3
3 3 0
2 3 2
3 1 1
1 1 2
3 1 2
2 2 0
3 2 2
2 1 2
3 2 1
10 6
2 0 2
2 0 0
0 2 1
1 2 1
1 1 1
0 1 0
0 0 2
0 1 1
0 0 1
1 0 0
10 9
0 1 3
1 1 2
1 1 3
0 0 3
1 2 0
0 0 2
0 1 0
3 2 1
1 1 1
1 2 1
10 6
2 1 0
2 2 2
0 2 1
2 1 1
1 0 2
0 0 1
0 0 0
0 1 0
0 2 2
2 1 2
10 4
0 3 1
3 2 1
0 0 1
2 0 0
1 3 2
1 0 2
0 2 1
0 1 2
3 1 1
0 0 0
10 7
2 1 2
2 2 1
0 1 1
2 0 2
2 1 1
2 0 0
1 0 1
2 0 1
0 1 0
1 2 1
10 4
0 2 3
1 3 2
3 1 1
3 0 2
1 1 3
0 0 1
0 1 0
1 1 2
0 2 2
1 2 2
10 5
2 3 0
0 0 2
0 1 2
3 1 0
1 3 1
2 0 1
3 0 2
2 2 1
0 3 0
1 0 3
10 8
0 2 1
0 2 2
0 1 0
1 1 0
1 1 2
1 0 0
0 0 0
1 2 1
1 2 0
2 2 2
10 9
2 1 1
1 2 2
2 2 2
1 1 2
0 1 1
1 0 1
0 1 0
1 0 2
0 2 0
0 0 1
10 4
3 3 0
0 2 0
1 1 2
1 3 3
0 0 3
1 0 0
1 3 2
1 2 2
3 1 3
0 3 2
10 8
2 1 0
2 1 1
2 0 1
1 0 2
2 0 0
0 2 2
1 2 2
0 0 1
2 2 0
1 1 2
10 3
2 2 0
1 0 2
0 1 0
1 0 1
2 0 2
0 0 2
2 1 1
1 1 1
0 1 2
2 1 2
10 2
0 2 0
2 2 2
0 2 2
1 2 0
1 2 1
0 1 0
0 0 2
0 1 2
0 0 1
2 1 2
10 9
0 1 3
0 1 1
2 3 2
3 1 1
3 1 2
3 0 1
2 1 2
0 2 0
1 1 0
1 3 2
10 9
2 0 1
1 2 0
0 1 0
2 1 0
0 0 0
1 2 2
0 1 2
0 1 1
0 2 2
1 1 2
10 7
1 3 2
3 1 3
1 1 3
3 0 3
3 0 0
1 3 1
2 0 2
3 0 1
0 3 2
3 2 3
10 6
1 0 2
0 1 1
1 2 1
0 0 0
2 2 0
2 1 0
1 1 0
1 0 0
0 0 1
2 1 1
10 2
0 2 1
1 0 2
0 0 1
2 2 1
1 0 1
1 1 2
0 1 0
2 1 0
1 0 0
2 2 0
10 9
1 3 0
3 1 0
3 1 3
0 3 1
3 3 3
1 1 3
0 0 0
2 1 2
0 1 3
1 0 2
10 7
1 1 2
0 0 0
0 1 1
3 3 0
2 0 2
0 1 3
2 2 1
3 3 3
3 2 2
2 3 1
10 4
1 3 1
3 0 3
0 0 2
1 3 2
0 2 3
3 2 3
0 1 1
2 3 0
2 1 2
3 3 2
10 4
2 2 1
1 0 0
2 2 0
0 2 1
1 2 1
0 0 1
0 2 2
2 0 2
0 1 0
1 0 1
10 9
0 2 1
2 3 2
3 1 1
0 3 0
0 2 0
2 1 1
3 1 3
0 0 1
2 3 0
3 2 1
10 8
2 2 0
2 0 0
1 0 1
0 1 0
0 2 2
2 0 1
0 2 1
1 2 0
2 1 1
1 1 1
10 7
2 2 0
0 2 2
2 0 1
1 2 0
1 0 0
0 1 0
0 0 1
1 2 1
0 2 0
2 1 2
10 5
1 0 0
0 0 1
0 1 0
2 1 3
1 0 1
3 1 2
2 0 1
1 0 3
0 3 2
2 3 1
10 6
0 0 2
0 0 0
1 0 1
1 2 2
1 0 2
2 2 1
0 2 1
0 1 0
2 1 1
1 1 0
10 9
0 0 0
0 2 2
1 0 0
2 0 0
2 0 1
2 1 0
2 2 0
2 1 1
2 2 2
2 1 2
10 3
1 0 1
2 2 0
1 1 1
1 2 2
0 0 2
2 0 1
2 1 1
2 2 1
2 1 0
2 1 2
10 3
2 2 2
2 0 1
0 0 0
1 0 1
2 0 0
1 2 1
2 2 0
0 2 1
0 2 2
0 2 0
10 8
2 1 2
1 1 3
0 3 0
0 2 2
2 2 3
3 1 0
1 3 0
1 1 2
1 2 3
0 0 0
10 8
1 3 3
2 3 3
3 1 1
3 2 3
0 1 0
3 2 2
2 0 2
1 2 2
3 0 0
2 3 0
10 7
1 1 2
1 0 3
0 0 1
0 3 2
0 0 0
0 2 0
3 1 3
0 3 0
0 2 3
1 2 0
10 8
2 0 0
2 1 0
1 1 0
0 1 0
1 0 0
0 1 1
2 0 1
2 2 0
0 1 2
0 2 0
10 5
1 2 2
2 2 2
3 2 1
1 2 1
3 2 0
1 1 0
1 1 2
3 2 3
0 2 1
2 1 2
10 9
0 3 3
3 2 2
2 3 2
1 3 3
3 1 2
3 3 2
0 3 0
0 1 2
0 1 0
3 1 1
10 7
0 1 1
1 0 0
2 1 0
0 1 3
3 0 0
2 2 0
1 1 1
3 3 0
1 2 2
1 2 1
10 2
0 2 3
2 0 1
1 1 2
2 0 2
0 1 1
1 1 1
3 3 2
2 0 0
3 2 1
1 2 2
10 4
1 2 1
1 2 0
2 0 2
2 1 2
1 2 2
0 2 0
2 1 0
1 1 0
1 0 1
0 1 2
10 3
1 2 2
0 0 2
0 0 0
1 1 1
3 2 3
3 3 1
0 2 3
1 0 2
3 2 1
0 3 1
10 2
2 3 1
3 1 1
2 0 0
1 3 3
1 3 1
3 2 0
0 3 2
0 3 3
0 3 1
2 2 0
10 8
2 2 1
0 0 0
0 0 1
1 2 0
1 1 1
0 1 2
2 0 0
2 2 0
1 1 0
0 2 2
10 3
1 3 2
0 3 2
2 3 0
0 3 0
0 1 1
2 3 2
2 2 2
3 2 0
2 2 1
2 3 3
10 7
0 0 3
1 2 2
0 2 3
3 1 0
2 0 0
3 2 2
1 1 1
1 3 0
1 1 0
2 2 1
10 7
2 2 2
1 0 2
0 2 1
1 1 0
0 1 2
0 1 0
2 3 1
1 3 1
2 3 0
1 1 2
10 6
0 2 1
0 0 1
2 2 1
1 2 0
2 0 1
2 1 2
2 1 1
0 1 0
1 2 2
1 1 2
10 8
1 1 3
1 3 1
2 0 2
2 2 0
0 0 0
1 1 1
3 3 3
2 1 1
3 3 0
1 3 3
10 9
1 0 1
1 0 0
0 3 0
3 0 1
3 2 0
0 2 0
1 2 3
2 2 3
2 2 1
1 3 3
10 6
0 2 1
2 2 1
2 1 1
1 1 1
2 2 2
1 2 0
1 0 1
0 2 2
2 0 0
1 0 0
10 5
1 3 3
3 3 1
1 2 3
3 3 3
0 0 1
2 3 0
2 3 3
0 1 1
2 1 0
0 3 0
10 7
3 3 1
2 3 1
0 1 1
3 0 3
2 0 0
3 0 1
3 3 0
0 0 0
0 2 0
3 1 0
10 8
0 1 3
2 1 0
1 3 1
2 2 3
0 0 0
2 3 0
3 0 0
1 2 1
0 2 0
2 0 1
10 3
0 1 3
3 0 2
2 0 3
1 1 1
1 2 0
0 3 0
3 2 0
3 3 0
0 2 1
0 1 0
10 2
0 1 3
3 1 2
1 2 0
3 3 3
0 3 1
0 2 1
1 2 2
3 3 2
0 2 3
1 0 1
10 5
2 1 1
0 0 0
1 0 1
1 1 0
0 2 1
1 1 2
2 1 0
1 2 0
1 2 2
0 2 2
10 6
2 3 1
3 3 0
3 2 3
0 0 3
2 2 3
2 1 2
3 1 3
1 0 2
2 1 1
0 0 1
10 5
1 0 2
0 1 0
1 2 0
2 0 2
0 0 2
0 1 2
3 3 1
2 1 2
0 0 0
0 3 0
10 6
3 0 2
3 1 1
3 2 3
0 0 3
2 2 1
3 2 2
0 2 2
1 2 2
1 1 2
2 1 3
10 7
0 3 1
2 3 1
1 0 1
3 0 0
2 1 2
3 0 2
3 0 3
0 0 2
0 1 1
3 2 0
10 3
0 0 1
0 1 2
0 0 2
0 1 0
2 0 2
0 2 1
2 1 1
1 1 2
2 2 0
1 0 2
10 2
2 2 3
1 1 0
3 0 2
3 2 2
3 0 0
2 0 0
1 3 2
1 0 2
0 0 3
0 0 1
10 4
1 0 3
0 2 2
0 2 1
2 3 3
3 3 0
1 3 2
3 3 1
3 0 0
3 0 1
2 2 1
10 4
1 0 0
2 0 1
0 2 2
1 0 2
2 0 0
0 0 2
2 1 1
0 1 1
1 2 1
1 2 0
10 6
1 0 2
1 2 2
0 1 0
1 1 2
0 0 2
2 2 0
0 0 0
2 0 2
1 0 0
0 1 1
10 2
1 3 1
3 0 1
0 2 1
2 0 2
1 3 2
3 3 3
1 2 2
0 2 0
2 3 3
2 3 2
10 9
1 0 0
0 2 0
2 2 0
2 0 0
1 2 2
2 1 1
0 0 0
0 0 2
2 0 1
2 1 0
10 5
3 1 2
1 2 2
2 1 1
2 2 3
3 3 3
1 0 1
1 1 0
2 0 1
0 0 2
3 0 2
10 3
2 1 2
0 2 0
2 0 2
0 0 0
0 1 0
2 1 0
1 2 2
0 1 2
0 2 1
2 2 2
10 5
0 3 0
0 1 3
3 3 0
1 3 0
1 2 1
0 1 0
3 2 0
3 1 3
0 3 1
2 3 2
10 6
0 2 0
2 2 1
2 1 0
1 1 1
1 2 1
2 0 1
0 2 1
1 2 2
2 2 0
0 2 2
10 5
3 2 2
3 1 3
1 2 1
2 0 0
3 3 0
0 3 0
2 1 0
3 2 3
2 2 3
3 0 1
10 3
1 2 1
2 1 2
1 1 0
1 1 1
0 1 2
1 2 0
1 1 2
2 0 0
2 2 2
1 2 2
10 6
0 0 2
0 2 0
0 1 0
0 2 1
2 2 1
2 2 2
1 1 1
1 0 2
1 2 0
1 2 1
10 2
1 1 1
2 0 1
2 0 2
1 2 2
0 2 2
0 1 0
0 1 2
1 0 0
1 0 1
2 2 1
10 3
0 1 0
1 3 3
1 0 3
3 1 1
3 1 2
0 3 1
0 1 3
0 2 0
0 2 3
2 1 0
10 8
1 3 0
0 1 3
0 0 0
2 0 0
1 2 0
3 0 2
1 3 3
3 2 1
3 1 0
0 2 0
10 8
1 2 3
3 3 0
0 0 0
1 3 0
1 1 1
3 0 3
0 3 2
0 3 3
1 3 2
3 2 1
10 6
3 3 1
0 3 0
1 3 3
2 2 1
2 3 3
1 1 3
0 3 3
1 0 2
0 0 0
2 3 2
10 6
2 0 3
3 3 1
0 2 0
0 0 2
0 0 3
0 0 1
2 0 0
2 1 0
0 2 1
1 2 2
10 9
1 1 3
2 0 2
3 2 2
1 0 0
3 1 2
0 3 1
0 0 3
1 3 0
1 1 2
3 0 3
10 2
1 1 1
2 2 3
1 2 2
0 0 1
3 1 0
2 2 1
1 3 1
2 1 2
2 1 3
2 1 0
10 2
2 0 2
3 0 0
3 0 2
1 1 2
0 3 2
1 3 1
2 2 3
2 1 0
3 0 3
3 3 3
10 3
1 0 0
0 2 0
1 0 1
0 2 2
0 0 2
2 1 1
0 1 2
1 1 2
1 2 1
1 2 0
10 3
0 1 1
0 2 0
0 2 1
1 0 0
2 2 2
1 2 0
0 1 0
1 1 0
1 1 2
2 2 1
10 5
2 2 0
2 0 3
3 3 3
1 2 1
3 3 1
0 2 0
0 3 1
3 2 1
1 2 0
2 3 2
10 5
1 3 2
0 2 1
3 3 1
3 1 1
3 1 3
0 0 3
2 0 2
0 2 2
2 1 0
0 2 3
10 8
0 1 2
1 0 2
2 2 1
2 1 1
0 0 0
1 2 1
0 1 0
2 1 0
1 2 0
1 0 0
10 8
3 0 1
2 1 0
1 1 0
1 0 3
2 3 0
2 1 1
2 3 1
0 3 0
3 1 1
3 0 3
10 3
0 1 0
2 2 2
0 1 1
0 2 2
2 1 1
2 0 1
1 1 0
2 0 2
2 1 0
2 0 0
10 5
3 3 3
0 3 0
2 1 3
1 0 2
2 0 1
2 2 1
0 0 3
2 0 2
0 1 0
0 2 0
10 6
0 0 2
1 0 2
2 0 1
0 2 1
0 2 0
0 0 1
2 0 0
0 0 0
2 1 2
2 0 2
10 6
1 3 0
0 3 1
2 3 1
2 1 0
3 0 2
1 3 2
1 2 0
0 3 3
3 0 1
2 2 0
10 5
3 1 1
1 0 0
2 3 2
0 0 1
2 2 1
2 1 3
2 1 1
0 1 3
3 2 3
0 2 2
10 3
1 2 2
2 2 1
3 0 2
0 0 3
3 0 1
1 2 0
0 2 3
1 1 3
3 2 3
0 2 1
10 4
1 2 1
0 2 3
0 2 1
1 1 3
3 3 0
3 1 2
1 0 3
3 3 3
1 0 2
0 1 3
10 6
3 1 3
2 2 0
0 1 1
3 3 2
3 2 0
0 3 0
2 0 2
2 0 0
3 0 0
3 1 0
10 9
2 0 2
1 1 0
1 0 1
1 0 2
2 0 1
2 1 1
0 1 1
0 2 2
1 1 1
2 0 0
10 3
2 1 1
1 2 2
2 0 2
1 1 2
1 0 2
0 0 2
1 2 0
2 0 0
0 2 1
1 1 0
10 8
2 1 2
3 0 0
2 0 2
0 2 1
1 2 1
2 2 2
2 2 0
2 2 3
1 0 2
0 2 0
10 5
0 0 1
1 0 3
2 1 0
2 3 3
3 3 0
3 1 0
0 1 3
0 3 2
0 2 2
0 3 1
10 6
2 0 2
2 0 0
0 2 0
1 2 2
0 1 1
0 0 1
1 1 0
1 2 0
0 2 1
1 0 0
10 5
0 1 3
2 0 2
0 2 0
3 3 1
2 2 1
1 3 0
0 1 0
1 1 3
1 0 3
1 0 0
10 3
0 2 2
2 0 3
2 2 0
0 2 3
3 2 3
2 3 3
3 1 2
1 2 1
1 1 3
3 2 1
10 4
1 1 0
0 0 1
1 0 2
1 0 1
2 2 1
1 1 2
2 0 1
0 2 2
1 0 0
1 2 0
10 7
1 2 0
0 0 2
0 0 1
0 2 1
2 0 0
0 3 1
1 2 3
0 2 3
2 3 1
1 0 1
10 3
2 2 1
3 0 3
3 0 2
0 0 3
0 0 1
0 3 3
3 2 0
1 2 1
2 0 1
1 0 3
10 4
0 0 0
1 0 1
0 1 2
2 2 1
1 2 1
1 0 2
2 2 0
0 2 1
0 0 1
0 1 1
10 8
1 2 0
1 0 1
0 1 1
1 1 1
0 2 2
0 2 1
1 2 1
0 0 2
0 0 1
1 1 2
10 6
3 3 0
2 0 2
0 1 2
1 3 2
0 1 0
0 0 1
0 3 0
0 0 2
1 3 3
1 1 1
10 5
2 2 0
0 2 1
1 2 0
1 0 0
0 1 1
0 2 2
2 2 2
0 1 2
1 0 2
1 1 0
10 9
3 1 3
3 0 1
2 0 1
1 0 0
3 1 1
0 3 2
0 0 2
3 1 0
3 2 2
2 0 0
10 3
0 0 3
1 2 3
3 0 3
2 3 3
0 3 3
1 1 0
3 1 1
1 0 3
0 0 2
2 3 2
10 5
2 2 2
0 2 1
1 0 0
1 2 1
1 2 0
2 2 0
0 2 0
0 0 2
1 1 1
1 2 2
10 4
0 2 0
0 0 2
2 1 2
1 0 0
0 1 1
0 0 1
1 0 1
1 1 2
0 0 0
2 0 0
10 8
2 2 2
0 0 1
0 0 2
1 2 0
1 0 1
1 1 1
2 0 0
1 1 0
1 2 2
2 0 2
10 6
1 2 2
1 0 1
2 0 2
0 0 2
0 2 1
2 2 0
1 1 1
2 2 1
0 1 2
2 0 1
10 7
1 0 0
2 0 1
1 1 0
1 2 2
2 1 1
1 2 1
1 1 1
1 1 2
2 0 0
0 0 1
10 5
0 0 2
1 0 0
1 1 1
1 2 1
0 1 2
2 2 1
0 0 0
0 0 1
1 0 1
2 0 1
10 9
1 2 3
0 2 2
2 3 2
1 3 2
3 3 3
3 0 3
3 1 2
3 0 1
2 2 1
0 3 3
10 9
2 3 1
1 3 0
2 0 3
1 2 3
1 3 2
3 3 3
1 1 2
3 3 2
3 0 2
3 1 3
10 8
2 0 2
0 2 2
2 1 0
2 0 1
1 0 0
2 0 0
0 1 2
2 2 1
1 2 0
1 0 1
10 6
2 0 3
3 1 0
2 3 2
3 2 2
1 2 2
1 1 3
2 3 3
0 0 3
1 0 1
0 1 0
10 5
1 0 2
1 3 0
0 2 3
2 2 0
3 1 2
0 3 0
2 3 1
3 1 3
1 2 1
1 3 1
10 2
0 0 1
3 3 2
2 2 2
2 2 1
3 2 0
3 0 2
0 1 2
1 2 3
0 1 1
1 0 1
10 8
1 0 2
1 3 3
3 0 1
1 2 3
1 1 3
1 2 2
0 1 2
2 0 0
3 3 2
2 3 0
10 7
2 0 2
1 0 1
1 2 2
2 0 0
2 1 0
1 0 2
2 2 2
0 2 1
2 1 1
0 2 2
10 9
0 1 2
2 0 1
2 2 1
1 1 0
1 0 1
0 1 0
2 0 2
2 1 1
0 2 2
1 0 2
10 7
0 2 2
3 3 0
1 3 3
3 0 3
3 1 2
0 1 3
0 0 0
2 0 2
0 3 2
0 0 3
10 3
3 0 3
3 2 0
1 2 3
1 0 0
1 2 2
0 0 3
3 1 3
0 3 0
1 1 0
0 1 2
10 7
0 2 1
0 0 2
2 0 2
2 0 0
0 0 0
2 1 2
1 0 2
1 0 0
1 2 0
1 2 2
10 5
0 1 2
1 1 1
1 0 1
0 0 2
1 0 2
2 2 1
1 2 0
0 2 1
0 2 0
0 1 1
10 6
3 1 2
3 3 1
0 3 1
0 3 2
0 1 3
1 3 1
0 2 1
3 0 3
1 2 2
2 3 3
10 2
3 2 3
2 1 3
3 2 0
2 3 2
1 3 0
3 0 3
0 2 0
1 2 3
2 3 1
1 1 3
10 7
0 2 1
0 1 0
0 0 2
1 0 1
0 1 2
1 2 0
1 0 2
2 2 1
2 1 1
0 0 1
10 7
1 1 2
2 0 0
1 0 1
2 0 2
1 0 0
0 2 0
1 0 2
0 1 2
2 0 1
2 1 0
10 9
2 3 0
2 2 0
0 3 1
3 2 3
0 3 0
1 1 2
0 3 2
0 2 1
3 0 1
1 0 0
10 2
0 0 2
0 1 2
1 0 2
2 2 1
2 1 2
2 1 0
1 0 1
0 2 0
2 0 0
2 0 1
10 9
3 3 2
3 0 1
2 2 0
1 0 3
2 0 2
2 1 2
2 2 3
3 1 3
1 3 2
2 0 1
10 5
1 0 3
2 2 3
0 1 0
0 2 1
1 1 2
0 1 2
2 2 0
2 0 0
0 0 2
0 0 3
10 4
3 3 2
2 3 0
0 1 0
3 2 2
2 2 2
3 2 1
0 0 2
0 1 2
1 1 3
1 0 2
10 9
1 1 1
0 2 1
0 0 2
2 1 0
1 0 2
1 2 1
1 2 2
2 1 2
0 0 1
2 2 0
10 8
0 0 0
1 1 1
2 1 1
2 2 2
1 2 0
0 1 1
2 0 2
0 1 0
2 0 0
1 0 1
10 8
1 0 0
0 1 1
1 2 0
1 1 2
0 2 1
1 1 1
2 0 0
0 1 2
0 0 2
0 2 2
10 9
1 0 0
2 1 0
1 1 2
2 0 0
1 2 0
0 2 2
0 2 1
2 2 1
0 0 1
0 0 0
10 2
1 3 3
0 3 1
3 3 2
0 2 3
2 2 2
3 1 2
2 1 1
0 2 2
1 3 1
1 0 1
10 9
2 1 2
1 0 2
1 1 1
0 2 1
2 2 2
0 1 1
0 2 0
1 2 2
1 0 0
1 1 2
10 4
0 0 1
2 0 1
0 2 0
1 0 1
1 1 2
0 1 1
2 0 0
0 2 2
0 0 2
1 1 1
10 7
2 0 0
1 0 2
2 1 2
1 0 0
2 0 2
1 1 1
0 1 2
0 0 1
0 2 1
2 1 1
10 4
1 0 2
2 3 1
2 2 3
2 2 2
3 0 2
1 3 0
0 3 0
2 0 0
2 0 2
0 1 2
10 3
1 2 3
3 0 2
2 2 3
0 0 0
3 3 2
2 0 3
2 0 0
1 0 0
0 1 0
3 2 0
10 3
0 1 2
1 1 1
1 1 2
0 0 1
0 2 2
2 0 1
1 2 1
1 0 2
0 1 0
1 0 0
10 7
2 2 1
3 0 3
1 3 0
3 2 1
0 3 1
0 1 2
2 2 0
1 1 0
0 0 1
3 3 2
10 4
3 2 2
0 3 1
2 2 2
3 1 1
1 1 2
2 2 0
0 1 0
0 0 0
0 3 3
2 3 2
10 2
1 1 1
2 1 0
1 2 1
2 1 1
1 1 0
2 0 2
2 0 1
0 1 0
1 2 0
1 2 2
10 5
0 2 1
1 1 2
2 1 1
0 0 0
0 0 1
1 1 0
2 2 1
0 1 2
0 2 0
2 2 0
10 2
1 0 0
0 2 0
2 0 1
0 2 1
1 0 1
0 0 2
0 0 1
0 1 0
1 2 0
0 0 0
10 8
0 2 2
1 1 2
1 0 2
1 2 0
2 2 1
2 0 2
2 0 0
1 2 1
0 0 0
0 1 2
10 4
2 2 0
0 0 0
2 0 0
0 1 0
1 1 0
0 0 1
1 0 0
1 2 0
1 0 1
1 1 1
10 5
1 2 0
1 0 2
2 2 0
1 1 0
0 1 2
1 1 2
2 1 0
2 0 2
0 1 0
2 0 0
10 2
2 1 2
2 0 0
1 1 0
2 1 1
1 1 2
0 1 2
2 0 2
0 2 1
2 1 0
1 2 2
10 2
2 0 3
3 3 3
0 0 0
0 0 1
0 1 1
3 1 2
0 2 2
2 0 0
2 1 0
3 2 1
10 7
3 0 3
2 3 0
1 1 1
0 3 3
2 2 3
0 1 1
1 1 2
1 0 3
3 2 2
1 2 1
10 8
2 1 0
1 2 0
0 2 0
1 1 1
0 0 2
2 1 2
0 1 0
0 1 1
2 0 1
2 2 0
10 2
2 2 2
1 2 2
3 2 1
0 3 3
2 0 3
2 1 3
0 1 0
2 3 1
1 2 1
1 1 2
10 3
1 1 1
0 0 0
1 2 2
0 0 2
1 2 0
1 1 2
0 1 0
2 1 1
0 1 2
1 1 0
10 8
0 1 0
2 0 0
0 2 1
2 1 1
0 0 2
2 1 2
1 1 1
0 2 2
0 0 1
1 1 0
10 9
2 0 0
2 1 0
1 0 0
0 2 1
0 1 0
0 0 1
0 2 0
1 1 2
1 1 1
1 1 0
10 4
3 2 3
3 1 2
2 3 1
1 0 0
2 1 1
0 3 2
2 2 3
2 0 3
1 3 3
1 1 2
10 6
1 2 1
2 1 2
1 1 0
1 0 0
2 1 0
1 2 2
1 0 2
2 1 1
1 2 0
0 1 1
10 9
0 2 1
1 1 1
1 1 2
2 2 2
2 0 2
2 2 1
2 0 1
2 1 1
0 2 2
1 0 2
10 3
3 3 1
3 2 0
1 2 0
2 3 0
2 1 2
1 3 3
2 2 3
1 2 3
0 1 1
2 1 3
10 7
0 1 2
0 0 1
3 3 0
1 0 0
2 0 0
1 1 2
3 3 1
0 2 0
1 1 0
3 2 1
10 2
2 2 3
0 0 3
0 0 2
2 3 1
1 0 3
3 2 0
1 3 0
1 1 3
2 2 1
2 1 1
10 8
1 2 1
0 0 0
2 1 1
2 2 2
2 0 2
2 1 0
1 1 1
2 0 0
0 2 1
1 0 1
10 2
1 2 0
1 1 2
1 1 0
0 1 0
1 2 1
1 0 0
0 0 1
0 1 2
2 1 0
1 0 2
10 5
3 2 0
1 2 0
2 0 1
3 3 2
2 1 2
2 2 1
1 0 3
0 2 1
0 3 1
3 3 1
10 5
3 1 1
1 1 3
0 3 0
3 1 3
2 2 0
1 0 0
2 1 3
0 1 2
2 3 0
2 2 2
10 5
0 1 1
3 1 2
0 1 3
0 1 0
3 3 3
0 3 3
1 3 3
1 1 3
0 3 0
3 3 1
10 2
2 0 1
1 0 0
0 1 0
0 0 3
0 0 2
0 3 1
2 2 1
0 1 3
1 1 2
0 3 0
10 6
3 2 1
1 1 0
3 2 0
3 1 2
0 3 0
0 3 1
2 0 1
3 0 0
1 3 1
3 3 1
10 9
3 2 1
1 1 1
3 0 0
3 2 0
1 2 0
1 3 1
2 1 2
0 0 0
0 3 1
3 3 2
10 8
1 2 0
3 2 3
0 3 1
3 3 0
2 1 1
3 1 0
3 3 3
0 2 2
1 2 1
3 1 2
10 6
0 2 2
1 1 2
1 2 0
2 2 0
0 2 0
2 2 1
2 1 1
0 0 2
1 0 0
0 1 1
10 9
0 3 2
1 2 1
3 1 1
0 1 2
0 0 2
2 2 0
2 1 0
1 1 0
1 2 3
3 0 1
10 9
0 0 3
0 2 2
1 2 0
3 2 2
3 3 3
1 1 0
1 2 2
0 0 1
2 3 0
1 1 2
10 7
1 2 0
2 0 0
1 1 2
0 0 2
0 1 2
0 1 0
0 0 1
0 1 1
1 0 1
1 1 1
10 2
2 2 1
1 0 2
0 0 0
0 0 2
0 1 1
1 1 0
2 1 1
1 1 1
0 2 2
0 2 1
10 6
2 2 1
1 3 1
3 0 0
0 2 2
1 3 3
1 1 2
2 1 3
1 0 1
1 2 1
3 2 3
10 4
0 2 3
0 1 3
0 1 2
0 0 0
0 2 0
3 0 1
1 2 1
3 1 2
3 2 2
1 0 1
10 8
1 3 0
2 0 3
0 0 0
2 2 2
3 2 3
1 1 1
3 0 3
0 2 0
0 2 2
2 2 3
10 7
1 0 1
2 2 2
0 1 1
0 1 2
2 2 1
1 1 0
1 2 0
2 1 0
1 2 2
0 2 2
10 2
2 2 0
2 0 0
3 2 1
3 1 3
0 0 3
3 1 1
0 2 3
0 1 3
1 0 3
2 2 2
10 4
2 2 2
0 1 1
0 1 2
2 1 0
1 2 0
0 2 2
2 1 1
2 0 1
2 1 2
0 2 0
10 7
0 2 0
2 1 2
2 2 2
1 2 2
1 0 1
2 2 1
0 1 1
2 0 1
1 0 2
0 2 1
10 9
2 0 1
1 2 0
1 1 0
1 2 1
2 0 2
1 0 0
0 2 1
2 0 0
0 0 0
0 0 2
10 8
1 2 0
0 0 1
2 1 0
1 0 0
1 1 0
2 0 2
0 0 0
0 1 2
1 0 2
0 2 0
10 7
3 2 3
2 3 3
1 0 0
2 1 2
3 0 1
2 0 2
2 2 3
2 0 1
1 1 2
1 1 0
10 4
0 1 2
1 1 2
0 0 1
2 1 2
2 0 0
0 2 2
0 1 1
0 2 1
2 2 1
2 0 2
10 5
3 1 2
2 0 3
3 2 0
0 0 3
0 2 3
2 2 0
2 1 1
1 2 1
2 3 0
3 1 1
10 9
0 1 2
1 0 0
0 2 1
2 1 1
0 2 0
2 2 1
2 1 0
1 1 1
0 2 2
1 1 0
10 7
0 1 1
2 2 2
1 0 2
0 1 2
2 0 2
0 2 2
1 2 0
0 0 0
2 0 1
0 2 1
10 7
1 2 2
2 1 2
3 1 2
2 2 2
2 2 0
3 3 3
1 2 3
0 3 1
2 0 0
3 2 3
10 7
0 2 2
2 3 3
2 0 3
1 1 0
3 1 2
0 1 1
0 3 2
0 2 1
3 3 1
1 0 0
10 3
1 1 2
1 1 1
2 1 2
0 0 2
2 0 2
0 1 2
2 2 2
0 2 2
1 1 0
2 2 0
10 3
2 1 2
2 1 1
0 2 2
2 0 2
1 2 2
2 1 0
0 2 1
0 2 0
0 0 1
2 2 2
10 7
0 3 2
3 1 0
2 2 3
1 3 3
1 1 0
2 2 2
2 0 1
1 1 1
2 2 1
0 0 2
10 6
1 3 0
2 2 2
1 0 0
1 3 2
3 0 0
3 2 1
3 3 1
2 2 1
0 1 2
3 3 3
10 7
2 1 2
0 0 2
0 1 0
0 2 0
1 1 1
2 2 0
1 2 2
2 0 2
0 2 2
0 0 0
10 5
2 0 3
3 1 3
0 1 1
3 1 1
3 2 2
0 3 2
3 2 0
1 0 2
0 2 3
2 1 2
10 7
1 2 0
2 0 2
2 0 0
1 2 2
1 2 1
0 1 1
2 2 2
2 1 2
0 0 2
0 1 0
10 4
2 1 1
2 2 0
0 1 2
1 2 0
1 0 2
2 0 2
0 2 2
0 0 2
0 0 0
2 0 1
10 3
2 1 0
2 1 2
2 2 2
2 0 0
1 0 2
1 1 2
2 1 1
0 0 0
1 2 0
2 2 0
10 9
2 0 3
2 0 2
2 2 3
3 2 0
3 2 1
1 2 1
3 3 1
0 3 3
2 1 2
1 3 0
10 9
1 2 2
0 0 0
1 1 1
0 1 0
0 1 2
1 2 1
0 1 1
2 2 0
0 0 2
2 0 2
10 3
2 2 2
1 2 2
2 0 0
0 0 1
1 2 1
2 0 1
2 2 1
2 1 0
0 2 1
0 1 0
10 5
1 0 1
1 3 2
1 3 3
3 3 3
2 3 3
2 3 0
3 0 1
1 2 0
2 2 1
0 0 0
10 2
0 1 1
1 1 0
0 2 0
0 2 2
0 0 1
2 0 1
2 2 2
1 0 1
0 1 2
1 0 0
10 9
1 0 0
3 1 3
0 0 3
1 1 3
2 0 3
1 2 2
1 1 2
2 0 1
2 1 1
0 2 1
10 6
2 3 3
1 2 0
2 3 0
1 3 2
1 0 0
2 1 2
3 0 3
2 1 1
3 2 2
0 3 0
10 7
1 0 2
2 0 1
2 2 2
0 2 2
1 2 0
1 1 2
2 0 0
1 2 2
2 1 2
0 2 1
10 2
3 2 2
3 3 0
3 3 3
1 3 0
2 0 3
1 0 3
0 3 3
3 1 0
2 1 2
2 1 1
10 3
1 0 2
2 0 1
0 1 1
0 1 0
0 0 0
2 0 2
1 1 1
1 1 2
0 2 1
0 1 2
10 6
0 1 0
0 1 1
1 0 1
1 1 2
1 2 0
2 0 1
2 0 0
0 0 1
2 0 2
1 0 2
10 2
1 0 2
2 1 1
0 2 2
1 3 0
2 0 2
3 3 3
2 2 2
3 1 1
0 2 0
2 3 1
10 5
3 0 0
2 2 3
0 0 2
3 1 2
0 3 3
2 3 3
0 3 1
3 2 1
3 0 2
0 1 2
10 6
2 0 2
1 0 3
2 3 1
2 0 3
1 0 2
0 3 0
3 2 1
1 1 0
3 1 0
0 0 1
10 4
1 2 2
3 2 3
2 1 1
3 3 1
2 0 0
0 3 0
1 2 0
1 1 3
3 2 1
0 0 0
10 2
0 1 1
0 1 0
0 0 1
1 2 0
0 0 0
1 0 2
2 1 0
2 0 2
2 0 0
1 0 0
10 3
1 2 3
1 3 1
1 1 0
2 2 1
3 3 0
1 3 2
2 0 3
2 3 2
0 1 1
3 1 0
10 3
3 0 1
0 2 3
0 3 3
2 3 3
1 2 1
1 3 0
3 3 0
0 1 1
0 0 1
2 1 3
10 3
0 2 0
1 2 1
2 1 0
2 0 2
1 0 2
0 0 1
2 0 0
2 0 1
0 2 1
1 1 1
10 8
0 2 1
3 2 0
2 1 1
0 0 3
2 2 1
2 0 0
1 2 2
1 2 0
1 0 0
2 3 3
10 5
2 2 2
3 1 2
3 0 3
1 1 0
3 3 3
2 2 0
2 3 3
1 2 1
1 0 2
1 3 1
10 4
2 0 2
0 1 1
0 1 2
2 1 0
2 1 1
0 2 1
1 2 0
1 2 1
0 0 2
2 2 1
10 5
2 2 2
1 0 2
0 2 1
0 1 0
1 0 0
1 1 0
0 1 1
0 0 1
2 1 2
1 1 2
10 2
1 1 1
1 2 0
1 0 0
1 1 0
1 2 2
1 1 2
0 2 2
2 0 2
0 2 0
2 2 2
10 9
1 2 3
1 3 1
1 3 2
3 2 0
1 1 2
0 2 3
0 0 2
2 2 0
1 1 0
2 3 0
10 5
2 2 0
1 3 0
3 3 2
2 0 1
1 2 0
3 1 2
0 3 3
2 2 3
0 2 3
3 0 0
10 4
0 0 0
1 0 1
0 1 2
0 0 2
0 0 1
2 2 2
2 1 1
1 2 0
2 0 2
2 1 0
10 6
2 0 3
0 3 2
0 1 2
3 0 2
2 0 0
2 3 2
1 2 1
3 0 3
0 0 0
1 1 0
10 9
3 3 3
0 2 0
3 2 0
2 2 2
0 3 0
0 3 3
0 2 2
2 0 1
1 3 2
2 2 3
10 2
0 1 0
2 0 3
1 0 2
2 3 2
3 3 2
1 2 3
2 0 0
2 1 1
1 0 1
1 2 2
10 5
0 1 3
0 2 3
1 3 0
0 1 1
3 2 1
3 0 1
1 2 1
3 2 2
0 0 0
2 0 0
10 9
2 2 0
2 1 1
2 0 0
1 2 0
0 0 1
0 1 2
1 2 2
0 2 1
2 0 2
0 2 0
10 5
0 1 3
2 1 2
2 2 2
3 2 3
2 3 3
2 2 1
1 3 3
0 3 0
3 2 0
3 3 1
10 8
0 0 1
2 0 1
0 1 2
1 2 0
2 0 0
2 2 2
2 1 1
1 0 1
0 0 0
2 1 2
10 2
1 0 0
2 0 1
3 1 3
1 3 3
0 2 0
0 2 1
0 2 2
3 3 2
0 3 1
0 0 0
10 7
0 1 0
2 2 0
1 0 2
0 2 1
2 0 0
2 1 0
0 1 2
2 2 1
0 0 1
0 1 1
10 2
2 0 2
0 2 1
2 2 2
3 2 1
1 2 2
0 1 0
1 1 0
3 0 2
3 3 1
2 2 0
10 6
0 1 0
1 0 0
0 2 2
2 1 2
2 1 1
2 0 1
2 0 2
2 1 0
0 0 2
0 0 1
10 5
0 0 0
0 1 2
2 2 0
0 1 1
2 0 1
1 1 1
2 2 1
2 1 1
0 2 2
2 0 2
10 2
3 0 3
1 1 3
3 2 2
2 2 0
3 1 3
2 3 3
1 2 2
0 1 3
1 0 1
0 2 1
10 4
0 0 1
2 1 2
1 2 2
0 2 1
0 2 0
1 0 1
2 2 0
1 1 2
2 0 1
0 1 2
10 9
3 1 2
2 3 2
2 2 0
0 2 3
1 1 2
2 1 1
1 1 3
1 2 1
1 2 3
1 0 2
10 9
1 1 2
1 0 2
1 3 2
1 3 0
3 3 3
2 1 1
2 0 1
2 2 2
0 2 2
0 2 0
10 5
1 0 3
0 2 3
1 2 0
1 1 3
0 3 3
2 3 0
1 2 2
2 1 2
0 0 2
1 2 1
10 7
2 3 3
2 0 0
2 3 1
3 1 1
0 3 3
3 3 2
0 3 1
1 0 0
0 3 2
3 0 1
10 3
0 1 1
1 3 0
2 3 0
1 1 2
0 2 3
0 2 0
0 0 1
3 1 2
2 0 0
1 2 2
10 2
2 2 2
0 0 2
1 3 2
0 1 3
3 0 3
2 3 2
0 0 0
3 1 3
3 0 1
1 1 0
10 9
1 0 2
0 1 1
0 2 2
0 0 1
1 1 2
2 2 0
0 2 1
2 1 2
2 0 1
0 0 0
10 5
1 2 1
2 0 1
0 2 1
0 1 1
0 0 2
1 0 2
1 0 1
1 2 2
0 2 0
0 0 0
10 7
2 1 1
2 0 2
0 0 1
2 2 1
0 2 1
0 2 0
1 0 2
0 0 2
0 0 0
2 2 0
10 6
1 0 1
1 1 0
2 0 1
2 1 2
0 0 1
1 0 0
2 2 2
2 2 1
2 1 0
0 0 2
10 5
0 2 0
1 2 2
2 2 2
2 2 1
2 1 2
1 0 0
0 1 0
2 2 0
1 1 2
0 1 2
10 3
1 1 1
2 0 2
2 0 0
0 0 2
1 0 2
1 0 1
0 0 1
0 2 0
0 2 2
1 1 2
10 4
0 2 1
2 1 1
2 2 0
2 3 1
3 0 2
2 3 0
1 0 1
3 0 1
3 3 0
3 1 2
10 2
3 3 2
1 0 1
0 1 0
3 1 2
3 3 3
0 0 3
1 2 2
2 1 0
3 2 0
1 1 3
10 7
1 1 0
2 1 1
1 1 2
1 2 2
2 2 2
0 2 2
0 0 0
1 2 0
0 1 0
1 0 2
10 2
0 0 0
2 2 0
0 2 2
0 1 0
1 2 2
1 1 1
0 0 3
3 1 2
2 2 3
0 2 1
10 6
0 1 3
3 1 2
2 2 3
0 2 3
0 0 1
0 1 2
2 0 1
3 2 3
1 2 2
1 3 0
10 3
0 1 3
3 1 3
0 3 3
0 2 1
0 0 0
1 3 3
3 0 1
1 2 2
3 2 1
0 2 2
10 7
0 0 0
0 0 2
1 2 2
2 1 2
0 1 0
2 1 1
2 0 2
1 0 1
2 0 0
2 0 1
10 8
1 2 2
0 2 0
0 0 2
1 0 1
1 1 2
1 1 1
2 0 0
0 1 1
0 2 2
0 0 1
10 6
1 1 0
2 0 0
1 0 1
3 2 3
0 3 0
2 1 0
3 1 2
0 3 2
0 0 0
1 0 2
10 5
0 3 2
3 2 3
2 0 0
1 2 3
2 2 3
1 2 0
2 2 1
2 1 3
0 2 2
0 3 1
10 3
1 2 2
0 0 2
0 1 0
1 0 1
2 2 0
2 1 1
1 1 0
1 0 0
0 2 0
0 0 0
10 5
2 0 2
0 3 3
3 3 3
3 1 2
2 2 1
1 0 1
3 3 1
0 1 1
0 2 0
1 3 0
10 8
2 1 0
1 2 0
2 0 2
1 1 0
2 2 0
2 0 0
1 0 2
1 0 0
0 0 0
2 2 1
10 4
0 2 3
3 2 1
2 1 1
0 1 2
1 0 3
2 1 0
0 0 2
3 0 0
1 0 2
2 3 1
10 6
1 1 3
3 1 0
2 0 3
1 3 3
1 2 1
3 0 3
0 3 1
2 0 2
0 1 3
0 0 2
10 7
1 3 3
3 1 1
3 2 2
0 0 2
3 3 3
2 1 3
2 1 0
0 2 1
3 2 0
2 2 1
10 4
1 0 1
0 0 1
0 2 2
0 1 1
2 0 2
2 0 0
1 2 1
0 0 0
2 2 1
2 0 1
10 2
2 0 1
0 0 1
1 3 0
1 0 3
3 3 2
0 1 1
1 0 1
0 0 2
0 1 2
3 1 2
10 5
1 3 0
3 2 3
3 1 2
1 0 0
0 3 2
0 1 1
1 3 2
1 1 2
3 3 3
1 0 2
10 5
1 1 2
2 1 1
1 1 0
0 2 1
2 2 2
0 0 0
2 1 0
2 2 1
0 0 1
0 2 2
10 4
2 0 2
0 0 1
0 0 0
1 2 1
2 0 0
0 2 0
0 2 1
1 1 0
0 2 2
1 0 0
10 6
0 0 1
1 1 0
2 2 2
2 0 2
2 2 0
0 2 2
2 1 1
1 0 2
2 0 1
0 0 0
10 9
1 2 2
2 2 2
0 2 2
2 2 1
1 0 0
0 2 0
1 1 0
2 1 1
0 2 1
1 2 1
10 3
1 0 0
1 2 1
2 2 1
2 1 0
0 1 0
2 2 2
1 1 2
1 1 1
1 2 2
2 0 2
10 7
3 0 0
3 3 0
0 0 2
3 0 3
0 3 2
1 3 0
0 2 0
3 1 0
3 2 3
0 2 2
10 8
2 2 1
1 0 1
2 1 1
1 2 0
2 1 2
1 1 1
1 2 1
0 1 0
1 1 2
1 2 2
10 7
0 0 0
0 3 2
0 1 2
2 1 0
1 1 0
1 2 1
2 2 0
1 0 1
0 1 1
2 3 0
10 6
2 0 2
2 0 3
1 0 0
3 0 3
2 1 3
3 2 1
1 3 3
3 1 3
0 3 1
0 1 2
10 3
3 2 0
1 2 1
1 1 1
0 3 0
1 1 3
2 1 3
0 2 3
0 0 2
2 3 1
2 3 0
10 2
2 1 2
2 3 2
2 1 1
3 1 0
0 3 2
3 0 2
1 1 3
3 1 2
0 2 2
1 2 2
10 8
2 0 1
1 1 0
1 2 2
1 2 0
1 0 0
1 0 2
2 1 2
1 0 1
0 2 0
1 1 2
10 5
1 0 2
2 0 2
1 1 0
0 2 2
0 0 2
1 2 1
0 0 1
1 2 2
2 1 1
2 0 1
10 5
2 2 1
0 0 1
2 1 1
1 0 0
1 1 1
2 2 0
0 1 0
0 2 2
0 1 2
1 1 2
10 8
2 1 1
1 2 0
2 2 2
0 2 2
2 0 1
1 2 1
0 0 0
0 0 2
2 1 0
2 2 0
10 2
0 0 1
1 2 2
1 0 1
0 0 2
2 1 2
0 1 2
2 2 1
2 2 0
1 0 0
0 0 0
10 9
1 3 1
1 0 2
1 1 3
1 0 3
2 0 0
3 2 3
2 1 1
2 1 2
0 2 2
1 2 3
10 8
0 0 1
2 2 1
0 0 2
1 2 0
0 1 0
1 2 2
2 1 0
1 1 2
1 2 1
0 2 0
10 4
2 3 1
2 2 0
1 1 1
3 3 1
0 1 0
2 1 1
2 1 3
0 2 0
2 2 1
2 3 2
10 9
3 1 1
1 1 2
3 2 2
0 3 1
1 2 3
0 2 0
3 0 2
2 1 0
2 2 2
0 0 1
10 7
1 1 0
0 0 2
1 2 0
0 2 1
0 1 1
1 2 1
1 1 2
2 1 0
1 0 0
1 0 1
10 2
0 1 1
1 0 1
2 1 0
2 1 1
1 2 0
1 1 2
1 2 2
2 2 1
1 0 0
2 2 2
10 6
0 1 2
2 2 1
0 0 0
0 0 1
0 2 1
0 2 2
0 0 2
2 1 2
1 2 1
2 2 0
10 2
1 1 2
0 2 2
0 1 2
2 1 2
1 2 2
0 1 0
0 2 1
1 2 1
2 0 2
0 0 2
10 4
0 0 2
2 1 1
3 2 0
3 0 3
0 2 3
3 1 3
1 0 0
0 1 0
2 0 2
2 3 3
10 4
2 1 2
3 3 1
0 2 3
1 3 1
1 2 2
2 2 0
3 2 3
1 2 0
1 2 3
0 1 0
10 8
3 1 0
0 1 2
1 2 0
0 3 1
1 0 1
0 0 2
0 3 0
0 0 1
1 2 1
2 0 0
10 5
0 3 1
2 3 3
3 1 1
0 3 2
0 0 0
1 1 2
1 3 1
1 3 3
1 0 0
0 2 2
10 7
1 1 0
1 2 1
2 0 0
0 2 1
2 0 2
1 1 2
0 1 1
1 0 0
0 0 2
1 2 0
10 5
1 1 1
0 0 1
2 0 1
0 2 0
1 1 0
1 0 2
1 0 0
2 1 1
1 2 0
0 2 1
10 4
0 0 2
1 0 0
2 1 2
0 1 2
0 1 1
1 1 2
2 2 1
0 0 0
2 2 2
0 2 2
10 6
3 1 3
0 2 0
2 1 2
1 1 2
0 2 2
3 3 3
0 3 2
2 1 1
2 3 2
0 0 3
10 5
1 2 0
1 2 1
2 2 2
1 1 2
0 1 1
1 2 2
2 1 2
1 1 1
0 1 0
0 0 0
10 9
1 1 0
2 1 1
2 1 2
1 2 1
1 1 2
0 2 2
0 1 2
2 0 0
1 2 2
1 2 0
10 8
1 1 0
2 2 1
2 0 1
1 0 1
2 1 2
1 0 2
2 0 2
0 2 2
1 0 0
1 1 2
10 3
0 1 1
1 1 2
1 0 1
0 0 1
0 2 1
2 2 2
1 1 1
2 2 1
1 0 0
2 1 2
10 3
0 2 2
0 0 0
2 0 0
2 1 2
2 0 1
1 2 1
2 2 0
2 1 1
2 2 2
1 2 2
10 2
3 1 2
3 2 3
1 0 1
3 1 3
2 3 0
2 1 1
1 2 1
0 3 0
2 1 0
0 2 3
10 5
0 0 2
2 2 1
0 1 1
0 2 1
0 0 0
2 0 0
2 0 2
1 2 0
0 0 1
0 1 0
10 9
3 2 1
0 1 2
2 0 2
0 1 1
3 3 0
1 2 3
3 2 3
3 0 1
0 3 0
2 1 2
10 9
3 3 1
3 0 2
1 3 1
1 3 0
3 1 0
0 0 0
1 1 0
0 3 1
1 2 0
1 3 3
10 7
0 1 1
0 2 0
0 0 2
0 2 2
1 2 1
0 1 0
1 1 1
2 2 2
0 0 0
2 0 0
10 8
0 3 0
2 0 2
3 3 1
1 2 0
3 1 3
1 3 1
2 0 0
3 0 3
0 2 3
1 1 3
10 7
0 2 0
1 1 1
1 2 1
2 1 1
1 1 0
0 2 1
0 2 2
0 0 0
2 0 2
0 1 2
10 8
0 3 1
3 2 0
0 3 0
3 0 0
1 2 0
0 3 2
0 2 3
1 2 1
0 2 2
3 3 3
10 2
2 2 1
2 2 2
2 0 0
0 1 0
2 1 0
0 2 1
0 2 0
2 0 2
0 2 2
1 0 0
10 3
2 2 0
1 0 0
2 1 1
2 0 1
1 1 2
2 0 2
2 1 0
1 1 0
2 2 1
0 0 2
10 6
3 0 0
3 2 2
0 0 3
2 1 2
2 2 1
2 0 0
0 3 1
2 1 3
1 2 0
2 3 0
10 2
1 0 2
2 1 2
0 2 0
1 1 1
0 1 1
1 2 1
2 2 1
2 0 0
2 1 0
1 2 2
10 2
1 1 0
0 0 2
1 2 1
2 0 2
0 1 2
0 2 1
2 2 1
2 0 0
0 1 0
0 0 0
10 2
0 2 0
1 0 0
0 0 1
2 1 2
2 0 1
1 2 2
1 1 2
2 2 0
2 0 0
0 0 0
10 8
3 3 1
2 3 2
1 3 0
2 3 3
1 3 2
3 3 0
2 1 0
2 2 1
0 2 1
0 1 2
10 3
0 0 2
2 2 2
0 1 0
0 2 2
2 0 1
1 0 2
2 2 1
1 0 0
0 1 2
2 0 2
10 8
2 0 0
2 0 1
0 2 1
0 0 1
1 1 0
2 1 2
0 2 0
0 0 0
1 2 1
2 1 0
10 7
1 1 1
2 2 1
0 2 0
1 1 0
1 1 2
3 2 2
1 2 0
2 1 3
2 2 3
2 3 1
10 4
2 1 2
2 0 2
1 0 1
1 0 0
2 2 0
1 1 0
2 2 1
1 2 2
0 1 1
1 2 0
10 7
0 1 3
1 0 3
0 3 3
1 0 0
1 2 3
2 2 1
1 3 2
0 2 1
1 1 0
2 2 3
10 6
2 2 2
2 0 0
0 0 1
1 0 1
1 1 2
0 2 1
2 0 1
1 1 1
0 1 0
1 2 2
10 7
0 1 3
2 2 1
3 1 3
3 2 2
3 0 0
2 3 3
0 2 3
0 1 2
1 3 2
3 3 1
10 3
1 0 0
2 1 0
1 0 1
0 1 1
0 2 1
2 0 2
0 0 0
0 2 2
1 2 1
2 2 2
10 2
2 0 2
0 1 1
1 1 0
2 1 1
1 0 2
2 2 0
1 2 0
2 1 0
0 0 2
1 0 1
10 9
2 2 0
1 0 1
0 1 2
0 0 1
1 2 2
1 1 1
0 2 2
2 1 0
2 2 1
0 1 1
10 6
2 1 2
3 2 3
1 0 1
1 2 2
3 0 3
2 3 1
2 2 1
0 3 1
3 2 0
1 3 3
10 5
1 2 1
0 2 2
1 1 0
1 1 1
0 2 1
1 2 0
2 1 1
1 0 0
2 2 2
0 0 1
10 3
1 1 2
1 2 0
2 2 2
0 0 2
0 0 1
2 0 0
2 1 0
0 0 0
2 1 2
0 1 1
10 4
2 2 2
1 2 1
2 2 0
2 0 2
1 2 0
0 0 1
2 1 1
2 2 1
0 1 1
0 0 0
10 4
1 1 1
1 0 0
0 2 2
2 2 0
2 2 1
0 1 2
2 0 0
0 0 1
2 0 1
1 2 2
10 6
2 0 0
1 0 0
2 1 0
0 1 2
2 1 1
0 1 0
1 1 1
0 0 2
2 2 1
2 0 1
10 8
1 2 1
2 2 1
0 0 0
2 0 2
0 1 0
0 2 0
2 0 0
0 2 1
1 2 2
1 0 1
10 9
0 1 3
0 0 2
2 2 0
1 0 1
3 3 1
2 1 1
0 0 1
3 1 1
0 1 0
3 1 0
10 2
2 0 1
1 2 0
0 0 1
0 0 0
2 2 1
1 2 2
2 1 0
1 2 1
2 1 2
1 1 1
10 4
1 0 1
0 3 1
0 0 1
1 0 0
1 1 1
2 1 1
1 3 3
0 2 3
1 1 2
3 2 3
10 8
0 0 0
1 2 3
2 0 1
2 2 0
1 0 2
2 0 0
0 1 3
2 0 3
3 0 3
1 2 2
10 7
0 2 1
2 1 0
2 1 1
1 2 1
1 2 2
1 1 1
2 2 2
2 0 2
1 0 2
2 0 0
10 8
0 2 0
2 0 1
0 2 2
0 1 0
2 0 2
1 2 2
1 0 0
2 1 0
1 1 0
2 2 2
10 7
2 0 0
0 1 1
0 0 2
1 2 0
0 2 1
1 1 1
1 0 2
2 1 2
1 0 0
0 1 2
10 3
1 2 3
3 2 0
2 0 3
0 0 1
0 1 3
0 0 2
0 3 0
2 2 1
2 0 2
3 0 3
10 2
0 0 1
1 0 1
0 1 1
0 1 2
1 1 1
0 2 1
2 1 0
0 2 2
2 1 1
2 2 1
10 7
0 0 0
2 0 2
3 3 1
2 2 1
3 1 0
0 1 1
2 1 2
3 1 3
1 2 1
0 0 3
10 4
2 2 3
0 3 3
2 0 3
2 0 2
1 1 3
3 3 3
0 3 2
2 2 1
3 2 0
0 2 0
10 9
0 3 0
0 2 2
0 1 1
3 1 1
3 2 3
1 0 1
1 3 1
3 2 1
1 0 3
0 0 1
10 5
0 0 0
0 2 1
2 0 0
2 0 1
1 1 1
2 1 0
2 2 0
0 2 2
1 2 1
1 0 2
10 6
2 1 2
0 1 2
0 2 1
0 0 1
2 1 0
1 2 2
1 1 1
1 1 0
0 1 1
0 2 0
10 4
1 2 1
1 3 3
1 3 0
1 0 0
3 1 2
0 3 2
1 2 2
0 1 1
2 2 1
0 0 0
10 2
1 1 0
0 1 1
1 0 1
0 0 1
1 2 2
0 2 0
0 2 2
0 0 0
2 1 0
1 0 2
10 7
0 0 2
1 0 0
2 1 2
2 1 0
2 1 1
2 2 0
2 2 2
2 0 2
2 0 1
0 0 0
10 6
0 1 2
0 1 1
2 0 2
0 1 0
1 1 1
0 0 0
2 2 0
2 0 0
1 0 0
0 2 1
10 5
2 0 2
2 0 1
1 2 0
2 2 0
1 0 1
0 0 2
0 1 2
0 2 1
2 0 0
0 0 1
10 5
1 2 0
0 1 2
2 3 0
0 2 0
1 0 2
1 3 1
3 1 3
3 3 2
3 3 1
1 0 1
10 8
3 3 1
2 1 0
3 2 0
1 0 3
1 3 3
2 2 0
1 2 3
3 0 1
2 0 2
0 3 0
10 6
1 2 0
0 0 3
2 1 1
2 2 2
1 0 0
2 3 2
0 0 1
0 2 0
1 1 1
0 2 2
10 7
0 1 1
0 2 0
2 2 2
1 2 1
0 0 0
0 0 1
2 0 0
0 2 1
1 2 2
0 0 2
10 8
1 1 0
1 2 1
1 0 1
1 0 0
1 1 1
0 0 0
0 0 1
2 2 2
0 0 2
0 1 2
10 6
1 2 0
0 1 0
2 1 2
2 1 1
2 2 2
1 0 2
0 0 1
0 1 1
0 1 2
0 2 1
10 9
3 0 3
3 1 1
3 1 0
3 2 0
0 3 3
1 1 3
1 2 0
0 0 0
3 1 2
0 3 1
10 6
2 1 1
2 2 1
1 3 3
1 1 3
0 3 3
0 1 2
0 2 3
3 2 2
2 0 2
0 1 1
10 7
1 1 2
3 3 1
0 0 1
3 2 2
3 1 1
1 3 3
3 2 1
1 1 0
1 3 0
0 2 3
10 7
1 1 2
2 0 2
1 3 3
2 3 2
3 1 1
3 2 0
2 1 2
1 1 0
2 2 0
0 0 1
10 3
3 2 1
0 2 0
1 3 0
0 3 3
2 1 1
0 2 1
2 2 2
1 2 1
2 1 0
2 0 0
10 7
0 1 1
3 1 1
0 2 0
1 3 2
0 0 0
3 3 1
1 1 2
3 3 2
2 0 2
2 3 1
10 3
1 3 3
0 3 3
1 0 3
2 1 2
3 0 2
2 2 3
0 0 1
3 2 1
1 0 2
3 1 1
10 2
0 1 0
1 2 1
0 2 1
1 2 2
1 1 2
2 0 2
2 0 1
1 0 2
0 2 0
2 1 0
10 4
2 2 2
0 2 2
1 2 1
0 2 0
3 1 1
0 0 1
3 1 2
0 2 1
2 3 1
2 3 2
10 8
2 0 2
2 2 2
2 0 1
1 0 2
0 2 1
0 2 2
1 2 2
1 2 1
1 2 0
2 2 1
10 5
0 1 3
2 2 0
0 1 1
2 2 3
1 1 1
0 3 1
1 0 3
0 2 1
3 1 2
2 3 2
10 9
0 1 0
0 0 2
1 0 0
2 0 2
0 0 0
0 1 1
0 2 2
1 1 2
0 2 1
1 1 1
10 9
1 0 2
0 2 0
2 0 2
1 0 0
2 1 2
2 2 1
0 2 1
1 0 1
2 1 0
0 0 2
10 8
2 3 1
0 2 1
3 0 0
1 0 2
3 1 3
1 2 0
1 2 3
3 2 1
0 2 3
0 0 2
10 4
2 2 0
2 2 3
1 2 2
2 1 2
2 1 3
1 1 3
1 3 3
1 3 2
3 1 0
2 0 0
10 4
0 2 2
2 0 1
0 0 1
1 2 0
0 0 2
2 1 0
1 0 2
0 1 2
0 2 1
0 0 0
10 2
2 0 1
3 1 0
0 0 2
0 0 0
0 2 3
3 2 0
1 2 3
3 0 3
0 3 2
2 3 2
10 5
3 0 1
0 2 2
1 2 0
3 0 2
3 0 0
2 2 2
2 2 1
3 0 3
3 3 1
0 3 3
10 4
0 0 0
0 0 2
3 1 3
1 3 0
1 2 3
2 0 3
2 1 1
1 1 2
2 2 3
2 2 2
10 8
2 1 1
0 2 2
0 1 1
2 2 1
2 1 2
2 0 1
0 2 0
1 1 0
1 1 1
1 2 1
10 2
0 0 2
2 2 2
2 1 2
1 1 2
2 0 0
0 2 0
0 1 0
1 1 0
1 0 1
2 1 0
10 8
0 1 2
2 1 1
1 0 0
1 1 0
1 1 2
1 2 2
0 2 0
2 0 2
0 0 0
0 0 1
10 9
0 0 0
2 1 0
0 0 1
0 2 0
0 2 2
2 2 0
2 1 2
0 1 2
2 0 0
2 2 2
10 4
2 1 1
2 2 2
2 0 1
2 1 2
1 2 2
2 2 0
2 1 0
0 0 1
0 2 2
1 2 0
10 6
0 0 0
1 0 0
0 2 2
2 1 1
1 0 2
2 0 0
0 2 0
0 1 0
0 0 1
1 1 2
10 2
1 1 1
0 0 0
0 1 0
0 1 1
1 2 1
1 0 0
0 0 2
2 1 1
0 2 0
2 0 2
10 3
2 2 3
1 2 1
3 0 0
1 3 3
0 3 3
3 3 2
3 3 3
0 1 3
0 0 2
2 1 0
10 9
0 0 1
1 1 0
2 2 2
0 2 1
2 1 1
0 1 0
0 1 2
1 0 0
2 0 0
2 1 0
10 3
1 3 3
2 1 1
0 1 1
1 0 0
2 0 2
0 2 3
1 2 0
3 0 2
3 1 3
2 1 3
10 3
1 2 0
0 2 0
1 2 1
2 0 2
0 0 0
2 2 0
2 0 1
2 1 2
2 2 2
2 2 1
10 8
3 1 1
0 2 2
2 2 3
1 0 2
1 1 0
1 2 0
0 1 0
3 0 1
1 0 0
1 2 2
10 4
2 1 0
2 1 2
1 1 2
2 2 0
0 1 2
2 0 0
2 1 1
0 0 0
0 2 2
0 0 2
10 9
2 0 2
0 3 3
2 0 1
3 0 0
3 2 1
0 2 1
3 3 3
1 0 0
3 2 2
1 2 0
10 8
1 0 2
2 0 1
0 1 1
1 1 0
2 1 1
2 2 0
1 2 2
0 1 0
1 0 0
0 0 1
10 5
2 0 2
1 1 1
0 0 1
1 2 0
0 1 1
1 0 2
0 2 0
1 1 0
2 1 1
0 1 0
10 6
1 2 2
2 1 2
1 1 0
3 1 3
2 0 3
1 2 1
3 1 0
1 3 0
3 1 1
0 0 2
10 9
1 3 3
2 2 3
3 1 3
3 1 0
2 1 2
1 2 2
2 1 3
2 3 3
0 3 2
2 1 1
10 8
1 3 3
2 3 2
2 3 0
1 3 0
3 2 0
0 3 2
2 0 1
3 1 0
3 0 3
2 2 2
10 6
0 1 0
2 1 1
0 2 2
1 0 2
0 2 0
1 1 0
0 1 2
2 1 0
1 1 2
1 2 1
10 3
1 0 1
1 2 2
0 0 2
1 1 2
0 1 1
0 2 2
2 1 2
2 0 2
1 2 0
2 0 0
10 8
0 1 1
1 3 0
0 3 2
0 0 0
2 2 3
2 1 2
2 1 3
3 3 0
2 1 1
3 0 2
10 6
1 0 1
2 2 1
2 0 0
1 1 1
0 1 2
0 0 1
1 0 2
0 0 2
0 0 0
2 2 2
10 8
1 2 1
2 1 0
0 0 1
1 1 2
2 0 0
1 1 1
2 1 2
0 2 1
2 1 1
2 2 0
10 4
1 0 2
0 1 2
0 3 0
1 3 0
1 1 1
1 2 2
1 2 0
1 2 1
1 0 3
0 1 1
10 4
0 2 3
3 2 1
2 2 2
0 3 3
0 2 1
2 2 0
0 0 2
1 1 2
0 3 2
1 3 0
10 8
0 2 1
1 2 2
1 1 0
0 0 2
1 2 0
1 0 1
0 1 1
1 2 1
2 1 2
1 1 1
10 5
2 2 0
2 2 2
1 1 1
0 2 2
2 1 2
0 2 1
1 2 0
2 0 1
0 1 1
1 1 0
10 8
3 0 2
2 1 0
3 1 0
3 2 1
3 1 3
2 1 1
3 2 0
1 3 1
2 2 0
0 0 3
10 5
0 0 3
3 1 1
3 0 1
2 1 2
3 3 3
3 1 2
1 0 0
1 1 0
3 3 0
2 3 1
10 5
0 1 1
1 0 1
0 0 0
2 2 1
1 1 0
1 0 0
1 2 1
1 1 1
2 1 1
0 1 0
10 3
0 1 0
0 0 0
2 0 0
2 1 2
0 2 2
2 2 0
1 0 1
0 0 1
1 0 2
2 1 0
10 3
1 0 2
0 2 3
2 3 1
3 2 1
2 1 0
1 2 1
0 0 1
0 3 0
3 0 3
0 1 0
10 9
1 3 1
0 0 2
1 3 2
3 1 0
0 1 0
2 0 2
2 0 3
2 2 1
0 2 0
2 0 1
10 8
3 0 1
1 3 3
3 2 2
2 1 1
2 3 0
0 2 3
0 1 2
0 2 0
0 2 1
1 1 0
10 4
2 2 1
1 1 0
0 2 2
2 1 2
1 1 1
0 0 2
2 1 1
0 1 2
2 2 2
2 2 0
10 3
1 1 2
1 2 3
1 0 0
3 2 1
2 2 0
0 0 3
0 1 1
0 3 3
3 2 3
1 3 3
10 3
2 0 0
2 2 0
0 2 3
3 1 0
0 2 1
2 2 2
0 0 1
3 1 1
0 3 0
1 1 3
10 4
2 1 2
2 2 2
2 0 1
2 1 1
2 1 0
1 0 2
1 1 0
0 1 1
0 0 2
2 2 1
10 3
2 1 1
0 0 1
2 0 2
1 2 2
0 1 1
1 1 0
0 0 2
1 0 1
1 2 0
0 0 0
10 2
0 0 0
0 1 0
1 0 1
0 1 1
2 0 1
0 0 2
0 2 2
2 0 0
2 1 0
1 2 2
10 6
0 2 3
0 1 1
0 1 2
1 0 2
3 1 3
0 0 3
0 3 1
1 1 3
0 2 2
1 2 1
10 6
1 0 0
0 0 0
2 2 1
0 1 1
1 2 1
2 0 0
1 1 1
2 0 1
1 0 1
0 2 2
10 9
2 2 3
1 2 1
2 3 1
3 3 3
2 1 1
1 0 3
1 3 0
3 1 1
1 3 2
2 1 0
10 3
1 1 3
3 3 2
1 0 2
0 2 1
1 2 0
2 3 1
2 1 0
1 2 3
2 3 2
2 2 0
10 9
0 1 0
2 2 1
1 1 0
1 2 3
2 3 0
3 1 2
0 0 3
3 3 2
3 2 0
1 3 3
10 4
1 1 3
0 0 1
1 3 1
1 3 2
1 0 3
2 2 2
2 0 2
1 1 1
0 3 1
3 2 3
10 9
3 2 3
1 1 1
3 1 0
2 2 0
1 0 1
0 3 1
1 2 0
2 3 3
3 2 0
3 2 2
10 5
0 2 1
0 2 0
2 1 3
1 0 2
2 1 2
2 0 3
0 3 0
0 0 3
3 2 1
2 2 1
10 7
1 0 0
0 2 0
0 1 0
2 2 1
0 3 2
3 0 3
0 0 2
2 3 1
1 3 0
0 3 3
10 8
1 2 2
0 1 0
2 1 0
0 2 1
1 0 0
1 2 0
0 1 1
2 2 0
0 0 0
0 2 2
10 7
0 1 2
3 1 3
3 2 2
2 1 0
3 2 3
3 0 1
2 3 1
2 0 3
2 2 0
0 2 2
10 5
1 2 0
1 0 1
0 2 0
1 0 0
0 1 0
0 0 1
0 2 1
2 2 1
2 2 0
1 1 2
10 3
1 2 0
2 3 3
0 0 3
0 0 2
3 1 3
0 1 2
3 3 1
2 1 1
0 3 3
0 0 1
10 2
0 0 0
0 3 3
0 3 0
2 2 0
0 2 2
3 1 2
1 3 3
1 0 0
2 1 0
2 1 3
10 3
3 0 2
1 0 3
1 3 0
3 1 0
2 0 0
1 1 2
0 2 2
3 3 1
2 1 3
0 1 2
10 8
2 2 0
1 2 1
1 2 0
1 1 0
1 0 2
1 0 1
1 1 2
1 1 1
1 2 2
1 0 0
10 7
1 1 0
2 0 0
2 1 2
0 0 1
0 1 0
0 0 0
0 2 2
1 2 0
1 2 2
0 0 2
10 8
1 0 2
0 2 0
2 2 2
0 0 1
2 1 2
2 1 0
0 1 2
0 0 0
1 2 2
1 1 2
10 2
2 2 0
2 0 1
0 2 1
1 2 2
2 1 0
0 2 2
0 0 1
2 0 0
0 1 1
2 1 2
10 3
1 2 0
3 3 3
2 3 1
3 1 1
2 0 3
0 0 0
0 0 2
2 2 0
1 3 0
3 3 1
10 5
2 3 2
3 0 3
0 2 3
2 3 0
3 3 2
3 0 1
1 2 1
2 2 3
0 2 0
0 3 1
10 3
2 2 3
2 1 3
0 3 2
2 3 0
2 0 2
2 0 3
1 1 0
3 0 1
2 2 2
2 1 2
10 7
2 0 0
1 1 1
0 0 1
0 2 2
2 2 1
0 0 2
1 2 2
0 1 0
0 1 2
1 2 0
10 3
0 2 2
1 1 2
2 1 0
1 1 1
2 2 1
2 1 2
0 1 0
2 2 2
2 0 1
0 0 2
10 7
1 1 2
0 2 3
2 0 1
2 0 3
2 1 1
3 1 3
0 0 2
0 0 3
0 1 2
0 3 0
10 9
2 0 0
1 0 1
2 1 2
1 0 0
2 2 0
0 1 0
1 2 1
0 0 0
2 2 1
2 1 1
10 7
1 1 1
3 2 3
2 1 2
2 2 2
1 3 0
3 2 0
3 1 3
2 3 3
3 1 2
0 2 3
10 8
1 1 2
3 2 2
3 0 3
2 3 0
0 0 0
0 0 3
1 3 2
2 0 2
1 0 3
2 0 3
10 7
2 1 1
0 1 2
0 1 1
0 0 1
1 0 2
0 0 2
0 1 0
0 2 0
2 1 2
0 2 1
10 9
1 2 1
1 0 1
1 2 3
2 2 0
3 0 1
1 3 1
3 2 2
1 3 0
0 2 3
2 2 3
10 7
0 3 1
2 0 3
2 1 0
3 0 3
1 1 3
2 3 3
0 0 0
3 2 1
2 2 0
1 0 1
10 6
1 1 0
2 1 1
1 0 0
2 2 1
0 2 2
0 1 1
2 0 0
1 1 2
1 0 1
1 0 2
10 9
1 1 2
1 0 2
0 0 0
1 0 1
0 2 0
0 1 1
2 0 0
0 2 1
0 2 2
1 2 2
10 9
2 0 2
1 0 2
2 1 3
0 0 0
2 1 1
2 2 3
1 2 3
0 1 1
3 3 1
3 0 3
10 6
0 1 0
0 0 2
1 1 0
3 1 2
1 0 0
3 0 3
1 1 1
0 3 1
0 0 0
3 0 0
10 2
0 1 1
1 1 2
0 0 2
2 2 2
1 2 0
2 2 0
2 0 2
0 1 0
0 2 0
1 1 1
10 8
3 0 3
0 3 2
0 1 2
3 3 3
0 3 1
1 1 1
0 2 1
3 1 1
3 2 1
3 1 3
10 4
1 2 0
0 2 2
2 2 1
1 0 1
1 2 1
0 0 2
1 2 2
0 1 2
0 2 1
1 1 0
10 3
1 1 0
1 1 1
0 1 0
2 2 1
0 1 1
0 2 0
0 2 1
1 2 1
1 0 2
2 0 2
10 3
2 0 2
1 1 2
2 1 2
2 0 1
0 0 2
0 0 0
2 1 0
1 1 1
0 0 1
1 2 1
10 3
2 0 1
2 1 2
3 1 3
2 1 3
1 1 3
2 2 1
1 1 1
0 0 2
3 2 2
0 1 3
10 6
1 3 2
3 2 0
1 2 0
1 1 3
0 3 2
0 0 0
3 1 3
3 1 0
3 3 0
2 1 1
10 5
0 0 1
2 0 2
2 0 1
1 2 0
0 1 2
0 0 2
1 0 2
0 1 0
2 2 0
1 2 2
10 7
0 1 1
1 3 1
2 0 2
1 0 1
1 0 2
0 0 0
2 0 3
2 3 1
1 1 1
1 0 0
10 5
0 1 2
2 2 1
1 2 1
2 1 0
2 2 0
0 2 0
1 0 1
2 0 0
1 0 0
2 0 1
10 3
0 1 1
0 0 0
1 2 1
2 0 1
0 1 0
1 2 2
0 2 0
0 2 2
2 2 2
1 1 2
10 8
2 1 1
2 1 3
3 2 1
0 1 1
1 3 1
2 2 1
0 0 3
3 1 1
1 0 3
1 3 3
10 7
1 2 0
0 2 1
1 0 0
1 2 1
2 0 0
0 1 0
0 1 1
0 0 1
0 0 2
2 2 0
10 5
3 3 1
0 2 3
3 2 1
0 0 0
0 3 2
0 1 3
0 2 1
0 1 0
3 3 2
0 0 2
10 3
0 1 0
2 2 1
0 0 1
2 1 1
2 2 2
0 1 2
0 0 2
1 0 1
0 2 0
1 2 2
10 4
2 0 1
1 1 1
1 1 2
0 2 2
0 1 0
0 0 1
2 1 2
0 1 2
2 2 1
2 1 0
10 8
0 0 1
1 2 0
2 2 2
0 2 0
0 2 2
1 1 1
2 2 0
1 2 2
2 0 2
0 1 2
10 6
1 0 2
2 1 1
2 2 0
0 1 2
1 2 1
0 2 2
2 1 0
0 2 1
1 0 1
2 1 2
10 2
1 0 0
1 1 2
0 1 0
2 0 1
2 1 0
0 2 1
0 2 2
1 1 0
0 2 0
2 0 0
10 9
2 2 2
2 3 3
1 2 1
0 1 0
3 2 1
1 2 0
1 2 2
1 3 3
2 0 2
0 3 0
10 4
1 2 0
1 1 2
0 0 2
0 0 0
0 1 1
2 0 0
0 1 0
1 1 0
2 2 1
2 2 0
10 7
0 1 0
1 0 1
0 2 1
0 0 0
1 1 0
1 1 1
2 1 2
2 1 1
0 2 0
0 0 2
10 4
0 1 1
1 0 0
0 0 1
0 2 0
1 2 2
2 1 2
0 0 2
2 2 1
1 0 2
2 0 1
10 3
1 2 0
0 2 0
1 0 0
0 0 2
2 2 0
2 0 1
0 1 1
2 1 0
2 0 0
1 1 2
10 3
2 0 0
1 2 2
1 0 2
1 2 1
2 1 2
1 1 1
0 1 2
0 1 0
0 2 2
2 0 1
10 3
2 1 1
1 1 2
0 2 2
2 2 2
1 2 2
1 2 1
2 2 0
0 2 0
2 0 2
2 0 1
10 9
1 0 1
2 0 0
2 0 1
1 1 2
2 1 1
0 2 1
2 2 1
2 2 0
1 2 0
0 2 0
10 4
1 1 0
2 2 2
0 2 2
0 0 0
0 0 1
1 0 0
1 0 1
0 2 1
2 0 0
2 0 1
10 6
3 3 2
1 0 1
3 0 2
3 2 3
0 0 1
0 0 3
2 3 2
0 3 0
2 0 0
2 2 2
10 7
0 2 2
0 0 3
3 1 3
2 0 0
3 0 3
3 1 1
2 0 1
0 2 3
2 3 2
1 3 0
10 2
2 2 1
1 0 1
0 0 2
1 1 2
0 0 0
0 2 2
1 2 1
2 0 1
0 1 0
2 1 2
10 2
3 2 2
0 1 1
0 3 1
0 2 1
1 0 1
2 2 1
0 0 0
1 2 0
1 1 2
2 1 1
10 4
2 3 0
2 3 3
1 0 3
0 1 1
3 3 3
1 0 2
0 3 2
2 1 1
0 1 0
1 3 3
10 9
2 0 0
2 0 1
0 0 2
0 1 2
1 1 2
0 2 2
2 0 2
1 2 1
1 1 0
0 2 1
10 9
1 2 0
2 2 1
1 2 2
0 1 1
1 0 0
1 2 1
2 2 2
2 1 2
2 0 0
2 0 1
10 7
2 2 0
0 1 1
2 0 2
3 3 0
1 3 1
0 3 1
2 3 2
1 2 2
1 2 0
1 3 2
10 6
0 2 2
2 2 2
3 2 2
0 3 0
2 1 1
0 2 0
3 0 1
0 3 2
1 3 0
2 0 3
10 5
0 0 3
2 3 0
3 0 0
3 2 3
3 2 1
0 0 2
3 2 2
2 0 3
2 3 1
0 1 1
10 3
2 0 0
1 1 0
3 0 0
0 3 0
1 2 3
2 1 2
3 0 2
2 1 3
1 1 2
3 3 3
10 2
2 2 1
2 2 0
0 1 1
0 0 2
0 2 1
0 2 2
0 1 0
2 2 2
2 0 2
0 0 0
10 9
1 1 3
2 0 0
3 2 1
2 3 1
2 1 0
1 0 1
0 1 2
1 3 1
0 2 1
2 3 3
10 4
3 0 1
2 3 2
0 1 0
3 2 2
3 2 0
0 1 3
2 1 0
1 3 2
1 0 1
1 2 3
10 5
1 2 3
2 0 1
3 1 1
1 2 2
1 3 0
2 3 3
3 0 1
0 0 2
0 0 1
3 1 3
10 2
2 2 0
0 2 2
1 0 1
0 1 1
0 0 1
1 1 2
0 2 0
0 0 2
2 1 2
1 0 2
10 9
1 0 0
3 2 0
3 0 3
2 0 1
1 3 0
1 2 3
3 3 1
0 0 3
1 2 0
3 2 2
10 2
1 0 1
2 0 0
2 2 0
1 1 1
0 2 1
2 2 2
1 0 2
2 1 0
0 1 0
0 0 0
10 5
0 2 2
1 2 0
2 2 0
0 0 0
1 1 1
0 1 2
0 1 0
2 0 0
2 2 1
1 1 0
10 9
2 1 1
1 1 2
2 0 0
0 2 1
0 0 1
1 1 0
0 1 2
2 0 2
1 1 1
0 2 2
10 8
2 2 1
1 3 2
1 2 2
2 2 3
2 3 0
1 3 0
0 2 2
2 3 1
3 0 2
1 0 2
10 3
3 1 2
0 3 1
1 1 3
3 3 1
1 3 3
3 2 1
0 0 3
0 3 2
3 3 3
2 0 1
10 3
1 0 2
1 2 0
2 2 1
0 0 2
0 1 2
2 0 1
1 0 1
0 1 1
1 1 0
1 1 2
10 7
0 0 1
2 2 2
1 0 1
2 2 0
0 2 1
1 2 0
0 0 0
2 0 1
2 2 1
1 1 1
10 2
0 3 3
2 2 3
2 0 0
0 2 1
2 2 2
0 0 3
1 3 0
3 2 0
3 2 1
0 0 2
10 7
0 0 1
1 0 0
2 2 0
0 1 1
2 0 2
1 2 1
1 2 0
2 1 1
1 1 2
0 1 2
10 5
2 2 0
2 0 2
0 1 2
1 2 1
2 0 0
1 0 0
0 2 1
0 2 2
0 0 1
1 1 1
10 4
2 2 0
1 1 0
2 0 2
0 1 1
0 2 0
2 1 1
2 0 1
0 0 0
0 1 0
2 1 2
10 3
2 0 2
0 3 1
1 0 3
2 2 3
2 0 0
2 3 0
3 0 3
2 2 2
0 2 3
1 3 0
10 4
2 2 1
0 1 2
2 2 2
1 2 1
1 2 0
2 1 2
0 2 0
0 0 0
2 1 1
0 0 2
10 2
2 1 2
2 2 0
0 2 2
3 0 1
3 3 1
0 1 2
0 3 3
1 2 0
0 1 0
1 1 3
10 7
1 0 0
0 0 0
1 1 0
0 2 2
1 1 1
0 1 0
0 2 0
0 0 1
2 2 1
2 0 1
10 6
1 1 2
3 1 1
3 3 1
1 0 1
2 1 2
1 1 0
0 1 0
0 0 2
0 3 2
0 3 1
10 5
0 1 0
2 3 2
1 1 0
2 3 1
1 0 3
0 3 2
2 1 0
2 2 0
0 0 1
3 2 0
10 7
2 2 1
0 1 2
1 0 0
0 0 1
1 0 3
3 1 2
2 2 2
3 3 0
3 1 3
2 3 2
10 4
2 0 0
2 1 0
2 2 2
0 0 2
2 0 1
0 2 0
1 0 2
1 2 0
0 1 1
1 2 2
10 7
2 1 2
1 2 1
2 1 0
1 0 1
1 1 1
1 1 2
2 2 2
2 2 1
0 0 1
0 2 2
10 2
1 2 2
1 1 1
0 1 2
0 0 0
2 1 1
2 2 0
2 0 1
0 0 1
0 1 1
1 2 0
10 5
0 2 1
2 2 0
2 2 1
2 2 2
0 2 0
0 2 2
1 1 0
0 0 1
2 0 1
1 2 0
10 4
0 1 2
2 2 1
2 2 0
2 0 1
0 1 1
2 1 0
0 2 1
1 2 2
0 0 1
1 1 0
10 2
0 1 0
2 2 2
1 0 2
1 2 2
0 1 2
1 0 1
2 0 2
0 2 0
0 0 2
1 1 0
10 7
2 2 0
1 2 2
1 0 1
0 0 0
1 2 1
2 0 0
0 1 1
2 1 1
0 2 2
0 1 0
10 2
0 1 1
0 0 0
1 2 0
2 2 2
1 0 1
1 0 2
2 0 1
0 2 2
0 1 0
2 1 1
10 4
2 0 3
3 1 2
0 3 3
2 3 0
0 0 2
3 1 3
3 3 1
0 3 2
2 0 1
3 2 1
10 3
0 1 2
0 0 2
1 2 0
0 0 1
0 1 1
2 1 2
1 1 2
2 0 2
2 2 0
0 2 2
10 9
3 1 3
2 1 1
2 2 2
0 1 0
1 3 1
0 2 2
0 0 3
1 1 1
2 3 0
2 1 2
10 7
0 3 3
3 0 2
2 1 3
3 1 0
2 1 0
0 1 1
3 3 1
1 0 3
2 3 2
0 1 0
10 2
0 2 1
0 0 1
2 0 1
1 0 2
2 2 2
1 0 1
2 1 0
1 1 0
2 0 2
0 1 1
10 3
1 1 1
2 1 0
1 1 0
0 0 0
0 2 2
0 2 1
1 2 0
2 0 1
0 0 1
0 0 2
10 5
0 2 3
1 3 3
2 0 2
2 3 1
0 0 3
3 2 3
2 1 1
1 1 0
3 3 1
0 0 2
10 2
1 0 2
0 1 0
3 0 1
0 2 0
2 1 0
3 2 0
2 3 1
2 1 3
2 0 1
1 3 3
10 2
1 1 0
1 2 1
0 1 0
2 1 0
2 2 1
1 0 0
2 0 0
2 2 2
1 2 0
2 2 0
10 3
0 3 1
0 2 3
1 2 2
0 0 3
2 2 0
1 2 1
0 1 3
3 2 1
0 2 2
2 0 2
10 2
1 0 1
2 2 0
0 0 1
1 2 1
1 1 1
0 0 0
2 1 0
1 2 2
2 2 2
2 1 1
10 6
3 0 3
3 1 3
2 0 3
3 3 1
1 1 2
0 2 1
1 3 2
2 1 1
2 1 2
1 3 1
10 6
2 1 0
1 1 2
0 0 0
1 0 1
2 0 2
1 0 2
1 1 0
2 2 1
0 1 0
1 2 0
10 7
2 2 1
2 1 0
2 0 2
3 1 1
2 1 1
2 0 0
0 2 0
2 3 3
2 3 0
2 3 1
10 9
0 0 0
0 0 2
2 0 1
2 1 1
2 1 0
2 2 2
2 1 2
0 1 2
0 0 1
2 2 0
10 9
3 0 1
0 1 3
2 1 0
0 1 1
2 0 1
3 3 2
3 1 2
0 0 2
2 2 0
2 0 3
10 5
2 2 2
2 1 1
0 2 1
1 0 2
0 2 2
0 1 1
1 2 0
1 2 2
2 2 0
2 1 0
10 8
1 1 0
2 3 0
2 1 1
0 0 3
0 3 1
2 3 1
1 2 0
0 0 2
3 1 0
3 1 1
10 6
0 0 2
2 2 2
1 0 2
1 0 1
0 0 0
2 0 2
2 0 1
1 2 0
2 2 0
0 0 1
10 6
3 1 0
2 3 1
1 2 3
0 3 0
3 2 3
0 2 1
3 1 1
1 2 2
2 0 0
1 1 3
10 9
2 2 0
2 2 2
0 2 1
0 0 2
2 1 0
1 1 1
0 0 1
1 0 2
2 0 2
1 2 2
10 5
2 3 2
2 1 3
2 2 3
3 3 3
3 3 1
2 3 1
2 0 0
2 3 3
3 2 2
0 1 0
10 8
1 1 0
0 3 3
3 2 2
0 3 2
0 3 1
2 1 2
1 3 3
3 2 0
0 2 2
2 2 1
10 7
1 2 0
1 0 2
1 1 2
2 1 1
0 2 0
2 2 1
2 1 0
1 1 0
1 2 2
1 0 0
10 8
2 0 3
0 3 3
0 0 1
1 3 3
1 3 2
2 1 3
2 0 2
2 3 1
1 1 1
3 0 2
10 3
0 1 0
2 2 0
1 3 1
3 1 3
2 0 2
2 1 2
1 2 3
3 3 3
0 1 1
3 2 2
10 2
3 0 1
3 2 0
3 1 0
1 3 3
0 2 0
3 3 2
3 3 1
0 0 2
3 1 1
2 0 3
10 9
3 2 1
2 0 3
0 2 0
1 0 3
3 0 2
1 3 0
2 2 0
0 1 3
2 2 2
1 1 1
10 9
0 2 0
1 0 3
0 1 0
0 0 0
3 2 1
2 3 1
2 0 1
2 2 3
0 1 3
3 1 0
10 3
3 3 1
1 2 1
0 1 0
1 0 3
3 0 3
3 3 2
0 3 3
1 3 3
3 0 0
2 0 2
10 7
0 0 0
2 2 2
2 2 1
0 1 2
2 0 0
1 2 0
0 1 0
2 0 2
0 2 0
1 0 1
10 2
0 0 0
0 2 3
1 2 1
3 0 3
3 3 0
3 3 1
1 3 3
3 0 1
3 1 3
2 1 3
10 6
0 1 0
1 0 2
1 0 0
0 0 1
2 0 1
1 2 1
2 1 1
1 2 2
1 1 2
2 2 1
10 7
1 0 0
3 0 3
1 1 0
2 3 2
0 0 2
1 2 1
0 1 2
3 2 1
1 2 2
0 1 0
10 8
0 2 2
1 1 2
1 2 1
2 2 2
0 1 0
1 1 0
0 1 2
1 1 1
2 0 0
2 0 2
10 6
0 1 2
2 1 2
0 0 2
1 0 1
0 1 0
1 1 2
1 2 0
2 2 2
1 2 1
2 0 1
10 8
1 2 0
2 2 2
0 1 0
2 2 0
0 2 2
0 1 1
1 0 1
2 1 1
1 0 2
2 0 0
10 4
2 0 1
1 2 0
1 0 0
0 1 0
2 0 2
0 0 2
0 0 0
2 2 0
2 2 1
1 0 1
10 8
2 2 1
1 0 2
1 1 0
2 2 0
0 1 0
1 0 1
0 0 0
0 1 1
0 0 2
0 1 2
10 2
2 0 0
1 2 0
0 1 2
2 1 1
2 0 1
2 2 0
2 1 0
0 1 0
0 0 0
1 1 2
10 5
2 0 2
0 2 2
1 0 2
2 2 0
1 2 2
0 2 0
0 1 0
2 0 1
1 1 2
2 1 0
10 8
1 2 2
0 0 2
1 1 1
1 0 1
2 1 2
0 1 0
2 0 0
1 0 0
2 2 2
2 1 0
10 5
2 2 2
1 0 1
2 1 1
1 2 0
0 2 2
1 2 2
0 1 2
0 1 0
0 2 0
2 0 1
10 4
3 3 0
2 2 0
3 2 0
3 1 3
1 3 3
3 0 1
2 1 0
0 2 3
3 2 2
2 3 0
10 5
3 2 2
3 3 2
0 3 1
1 1 3
1 3 0
0 2 2
3 2 3
1 2 0
0 2 3
1 1 1
10 9
2 1 0
0 2 0
1 1 2
1 0 0
2 2 0
0 0 1
0 1 0
1 2 1
0 1 2
1 0 2
10 7
1 2 2
1 0 0
0 1 1
1 1 0
2 2 1
1 2 1
1 1 1
1 2 0
0 0 0
2 2 0
10 4
1 3 3
3 2 1
3 3 3
3 1 3
2 2 1
3 1 1
0 1 3
2 0 1
0 1 2
0 2 2
10 5
2 2 0
3 1 2
0 3 1
1 2 3
2 2 1
3 1 3
3 2 2
3 2 1
1 0 0
3 3 0
10 9
0 2 0
0 1 1
1 1 2
1 1 0
1 2 0
1 2 1
0 2 2
2 2 2
1 2 2
2 1 1
10 9
2 2 2
2 0 2
0 2 1
2 2 1
0 0 0
1 0 2
1 1 1
0 1 1
0 2 0
0 1 2
10 7
3 2 0
1 2 2
2 1 2
3 1 2
0 1 2
0 0 2
3 2 3
1 1 0
3 1 1
2 2 3
10 8
0 2 2
2 2 0
0 2 0
0 1 0
1 1 1
1 0 0
2 0 2
2 2 2
1 1 2
1 2 2
10 9
1 0 3
3 0 3
2 3 3
2 2 0
0 1 1
3 1 3
3 3 2
0 1 2
2 0 2
2 1 0
10 5
1 0 2
1 1 1
0 0 1
0 2 1
2 2 1
0 2 0
1 2 2
2 1 0
0 1 1
1 0 1
10 5
2 0 2
1 2 1
1 0 0
2 2 1
0 1 2
2 1 2
0 1 0
1 0 2
0 2 2
1 2 2
10 8
1 0 3
3 3 2
1 0 1
0 0 1
1 0 0
1 2 3
0 1 2
3 3 3
3 1 0
1 0 2
10 5
1 0 0
1 2 1
0 2 3
2 0 0
3 1 1
0 3 2
1 0 1
2 1 1
1 3 1
1 2 3
10 6
3 0 1
0 2 0
2 3 1
1 0 0
0 3 2
2 1 0
2 2 2
1 2 0
2 3 3
1 2 1
10 7
1 1 0
0 2 2
1 2 2
2 1 1
1 0 2
0 0 2
2 2 2
0 2 1
1 2 1
0 1 1
10 3
2 3 0
2 0 3
0 0 1
3 0 0
1 0 3
0 0 0
0 3 2
0 2 0
1 0 0
2 3 2
10 6
1 0 2
3 1 3
2 0 0
0 0 2
2 0 2
3 1 2
3 0 1
1 2 1
1 2 2
2 3 1
10 8
3 0 2
3 1 2
2 1 1
0 3 0
3 2 0
3 1 1
0 1 2
1 3 1
3 3 3
2 3 2
10 8
2 1 0
1 0 2
2 2 0
1 2 0
0 2 2
1 0 1
0 1 0
1 1 0
1 1 2
2 0 2
10 5
0 1 2
0 2 0
0 0 1
1 2 3
0 0 2
3 3 0
3 1 3
2 1 3
3 3 3
0 1 3
10 3
2 0 3
0 1 1
1 2 3
1 3 3
1 3 2
1 2 2
0 2 2
1 0 3
0 2 1
1 1 1
10 5
2 3 0
3 1 3
1 2 3
3 0 0
3 3 0
0 1 0
0 3 3
0 0 3
3 3 3
0 1 2
10 2
1 1 3
1 1 0
0 0 1
0 1 2
1 3 0
0 0 2
3 0 2
1 2 1
1 3 3
3 1 1
10 9
2 0 1
1 0 2
2 1 0
2 1 1
1 1 1
0 2 2
0 0 0
0 0 2
2 0 0
1 1 0
10 6
2 3 2
2 0 3
3 0 2
1 0 1
0 2 1
2 3 1
3 3 3
3 0 3
2 2 1
1 3 2
10 6
1 0 1
2 0 2
2 1 2
1 2 1
0 2 1
2 2 2
0 0 2
1 1 0
1 0 0
0 1 1
10 7
0 2 2
0 1 1
1 1 2
0 0 2
2 2 1
2 0 1
2 1 1
2 1 0
1 2 2
0 0 0
10 8
0 0 2
0 2 2
2 0 2
1 1 1
1 1 0
2 2 1
0 2 0
2 1 2
2 1 0
0 1 1
10 7
2 0 0
0 0 2
2 0 1
1 0 2
1 0 1
2 1 1
2 0 2
1 2 0
0 1 1
0 2 2
10 4
2 0 2
0 2 2
2 0 1
0 0 1
1 2 1
0 0 0
1 0 2
1 0 1
2 1 0
2 0 0
10 7
3 0 1
2 0 2
0 1 1
0 0 1
3 3 0
3 3 1
0 2 1
0 3 3
2 3 3
0 3 2
10 6
1 1 0
2 0 1
0 1 2
1 2 1
2 0 0
1 0 2
1 1 1
1 2 2
1 0 1
0 0 0
10 4
0 2 0
0 0 0
2 0 2
1 0 1
1 1 1
2 0 1
0 0 1
2 2 1
1 2 0
1 2 2
10 2
0 2 0
2 1 2
1 2 0
2 2 0
2 1 1
2 0 2
1 1 0
0 0 2
1 1 2
2 0 0
10 8
0 2 2
3 0 2
2 1 3
2 2 2
2 2 0
1 2 3
0 1 0
3 3 1
1 3 0
3 2 0
10 5
0 2 0
1 1 0
1 2 0
0 0 1
0 1 2
0 0 2
1 2 2
1 1 1
2 2 1
0 1 0
10 2
2 2 0
0 1 2
0 2 1
2 0 1
2 2 2
2 0 2
2 1 1
2 1 2
1 2 2
0 0 1
10 3
0 0 2
2 0 1
1 0 1
0 1 0
0 2 2
0 0 0
1 1 2
2 2 0
0 2 1
2 0 0
10 3
0 0 1
2 1 1
2 2 2
0 1 2
2 1 0
1 1 0
1 2 0
2 0 2
0 0 0
1 1 1
10 3
1 0 0
2 1 2
2 0 1
2 0 0
1 1 2
0 0 1
2 2 1
2 2 0
0 1 2
2 1 1
10 9
1 1 2
2 0 2
0 2 2
1 1 0
2 2 0
0 0 2
1 2 2
0 2 1
0 1 1
1 2 0
10 3
0 2 0
2 2 0
0 1 1
2 1 0
0 0 1
2 0 0
2 1 1
1 1 2
1 2 2
0 0 0
10 3
2 1 1
2 0 0
1 1 2
1 2 1
1 1 0
0 0 1
2 2 0
0 1 1
1 2 0
2 1 2
10 6
0 0 3
3 0 2
2 3 2
1 0 3
2 1 0
0 3 1
2 2 0
1 1 0
0 1 0
3 3 3
10 7
0 1 2
2 1 2
1 2 0
1 1 3
0 3 2
2 2 0
3 2 3
3 1 2
0 0 3
2 3 0
10 7
1 1 0
2 3 2
0 1 3
0 3 2
0 3 1
0 2 0
1 3 0
1 3 2
1 0 1
3 0 0
10 6
0 0 1
1 1 1
2 1 0
0 2 0
2 0 1
2 0 0
0 2 1
1 1 2
0 0 2
0 1 1
10 7
3 1 2
3 3 2
0 3 2
0 2 0
1 3 0
0 2 1
0 1 0
0 2 3
1 1 2
3 0 3
10 4
2 0 2
2 2 1
2 0 0
1 1 0
1 2 1
2 1 0
2 2 0
0 2 1
2 1 2
1 2 0
10 7
1 2 2
0 2 0
2 2 0
1 0 1
1 0 0
0 0 1
2 2 2
1 1 1
2 2 1
0 2 2
10 9
1 1 0
2 1 0
0 1 0
0 0 2
0 1 1
2 0 2
0 0 0
1 2 1
1 1 2
2 1 2
10 5
0 0 1
0 2 2
0 1 2
2 2 1
0 2 0
0 1 1
1 1 2
1 1 1
2 2 2
2 1 0
10 3
1 0 2
1 2 2
0 2 2
0 0 1
0 0 2
1 2 0
1 1 2
2 2 2
2 0 0
2 1 2
10 5
1 2 0
2 0 0
0 2 0
0 2 2
1 2 2
1 1 1
2 0 1
2 1 0
2 2 0
0 0 2
10 9
2 0 0
2 3 1
3 1 0
2 0 1
3 2 2
3 3 3
2 1 2
1 0 1
2 0 2
3 1 2
10 6
1 1 3
2 3 3
2 0 2
1 0 0
3 0 1
2 2 1
3 1 2
2 0 0
0 2 3
2 0 3
10 7
0 1 1
3 3 0
2 1 0
0 2 2
1 2 2
2 3 3
1 1 3
1 3 2
1 0 1
3 2 2
10 8
1 3 1
3 0 0
2 2 2
3 3 3
0 1 0
2 0 3
1 2 1
0 3 1
2 0 0
3 2 1
10 8
2 2 2
1 2 1
2 0 2
2 0 0
2 2 1
2 0 1
1 1 2
0 1 1
0 0 2
2 1 2
10 7
0 1 1
2 1 1
1 0 0
1 1 2
0 1 2
2 1 0
0 2 2
1 1 1
2 0 1
1 2 0
10 8
0 2 1
2 2 1
0 1 1
2 1 1
2 0 1
2 0 2
0 0 1
2 2 2
1 2 2
1 1 1
10 6
2 3 3
2 2 2
0 1 3
0 0 1
1 0 0
3 3 0
2 3 0
3 2 0
0 2 3
3 1 2
10 3
1 0 0
2 2 1
0 2 3
3 0 3
3 1 0
2 3 3
3 0 0
0 0 1
2 3 2
2 2 3
10 2
0 1 3
3 3 1
2 3 1
0 2 0
0 0 3
2 2 3
1 1 3
2 0 3
1 2 1
2 2 1
10 2
2 2 0
2 1 1
0 1 1
1 0 2
0 1 2
0 0 2
1 2 0
1 1 0
0 0 0
1 0 1
10 4
1 2 1
3 0 3
3 3 0
3 0 0
0 3 1
0 1 0
0 0 2
3 2 2
2 3 0
3 3 1
10 8
1 2 0
0 2 2
0 0 1
1 1 2
0 1 1
0 1 0
1 1 0
1 0 0
1 1 1
0 0 2
10 3
1 1 0
1 1 1
1 2 0
2 1 1
0 0 0
0 2 0
1 1 2
1 0 2
1 0 1
2 1 2
10 7
3 3 1
3 3 3
1 3 0
1 1 0
1 3 3
3 1 2
2 3 0
1 1 2
3 0 0
3 2 2
10 8
2 1 2
1 0 0
2 1 1
1 2 1
1 0 2
0 2 0
0 0 1
0 0 0
2 0 2
0 1 0
10 6
1 2 2
2 1 2
0 1 0
2 1 0
1 2 1
2 0 1
2 2 1
1 0 2
0 1 1
2 2 2
10 7
3 3 3
1 1 3
3 1 2
0 3 2
0 1 0
1 0 1
1 1 2
2 3 1
1 0 3
1 2 3
10 4
0 0 1
0 1 3
0 3 3
0 2 3
1 1 1
2 1 0
2 0 0
2 2 3
0 1 1
1 2 2
10 9
0 0 1
0 2 2
1 1 1
2 1 2
1 0 2
1 1 0
2 2 2
2 1 1
1 2 1
2 0 0
10 4
1 1 1
1 1 2
1 2 0
0 0 1
2 2 2
2 0 0
1 0 2
1 0 0
1 1 0
1 2 1
10 6
3 3 2
0 3 3
1 1 0
2 0 2
0 0 0
2 2 0
1 0 2
0 2 0
3 3 0
0 2 3
10 4
0 3 0
3 1 2
3 0 0
1 3 1
3 3 1
3 3 0
2 2 0
3 2 1
0 0 3
1 1 0
10 9
2 3 3
0 2 0
0 2 1
0 1 3
0 0 1
3 2 2
3 3 1
1 0 1
1 2 2
3 2 0
10 7
2 2 0
2 0 0
1 2 2
0 1 2
0 1 1
2 1 1
0 2 1
0 2 2
1 1 2
0 0 2
10 2
0 2 1
0 0 2
1 1 2
0 3 1
1 0 1
1 1 3
3 1 2
1 1 0
3 3 0
0 3 0
10 3
2 1 3
3 1 2
3 2 2
3 1 1
0 2 3
2 3 0
0 1 0
2 2 3
2 0 2
0 3 1
10 7
1 3 3
1 1 2
2 3 2
2 1 3
0 1 2
3 0 3
2 3 3
3 2 2
0 2 0
1 2 0
10 8
2 2 0
2 0 2
1 1 2
0 1 2
0 0 2
2 2 1
1 2 1
2 2 2
2 1 0
1 0 2
10 5
0 2 2
1 1 1
0 0 1
1 0 1
2 0 2
1 1 0
1 2 2
0 2 1
0 0 2
2 1 0
10 9
0 1 2
3 3 2
0 3 2
2 1 0
3 3 3
2 3 2
2 1 2
1 1 2
2 2 2
0 1 1
10 4
1 0 1
1 1 0
2 1 0
1 0 2
1 2 0
2 2 1
2 1 1
1 2 2
0 0 0
0 0 1
10 4
2 0 1
2 1 0
2 0 2
2 1 1
0 2 2
0 1 1
2 2 1
2 2 0
1 2 2
1 0 2
10 9
3 2 1
1 3 3
0 2 1
1 1 3
1 1 1
3 2 3
0 3 3
2 2 1
3 1 0
1 2 1
10 5
0 1 2
1 3 1
2 2 0
2 0 1
1 2 0
2 2 1
0 3 0
2 2 2
2 3 3
1 0 1
10 7
2 2 2
1 1 0
2 2 1
0 2 1
1 0 2
1 0 1
0 1 2
1 0 0
1 2 1
1 2 0
10 7
2 2 1
0 0 2
0 2 2
2 1 1
2 1 2
1 2 2
1 0 2
0 0 0
2 2 2
0 1 1
10 3
2 0 2
3 3 1
2 0 3
1 1 2
0 1 3
2 3 1
1 1 0
3 1 3
0 0 1
3 2 0
10 7
3 0 0
0 3 0
3 3 2
3 1 0
1 3 1
3 3 0
0 0 0
2 3 0
3 1 2
0 3 1
10 7
0 0 0
0 2 1
1 0 3
3 2 3
0 3 3
3 2 0
3 1 1
2 2 1
0 2 3
2 3 2
10 5
2 0 2
3 3 1
2 3 1
1 2 3
2 1 3
0 1 2
2 3 3
0 1 0
3 1 0
2 1 0
10 9
1 0 0
2 1 0
0 2 2
0 2 1
2 2 2
1 1 0
2 2 1
1 2 0
0 2 0
2 1 1
10 8
3 2 3
2 2 3
0 1 2
2 0 1
0 3 2
3 1 3
0 2 0
3 0 1
2 3 2
3 2 2
10 4
1 2 0
0 1 0
0 3 0
3 2 2
0 3 3
1 3 2
2 1 2
2 2 0
3 0 1
0 0 1
10 9
3 2 1
3 0 2
1 3 1
1 3 3
2 0 1
3 1 1
3 0 1
2 3 2
3 1 0
1 3 0
10 9
1 2 1
2 2 0
0 0 2
1 0 1
0 2 0
1 2 0
0 2 1
0 1 1
1 2 2
2 2 1
10 7
2 2 2
1 2 2
1 2 1
1 0 1
1 1 1
2 1 2
2 1 1
0 0 2
0 0 1
2 2 1
10 3
2 1 3
0 2 0
0 3 1
1 1 0
2 0 1
3 2 0
1 2 1
1 3 2
0 0 1
0 3 3
10 4
3 3 2
3 0 1
0 1 3
1 2 2
1 2 1
2 1 3
2 0 1
1 1 1
1 1 2
1 2 3
10 7
2 1 2
1 1 2
2 2 0
2 1 0
1 1 1
1 0 2
1 0 1
0 0 2
0 0 1
1 0 0
10 3
0 3 2
3 1 2
1 2 0
0 1 1
0 1 0
2 0 2
2 2 1
2 3 0
2 2 0
0 0 0
10 4
1 3 2
0 3 0
3 1 0
1 1 0
1 2 2
2 1 0
1 0 3
3 1 1
0 2 2
2 0 3
10 9
0 0 0
2 0 0
1 2 2
1 0 1
2 1 1
1 0 2
0 2 2
2 0 1
2 0 2
1 2 1
10 9
1 1 2
2 2 2
2 1 0
1 2 1
2 2 1
1 0 1
0 0 0
0 2 2
0 0 1
2 2 0
10 2
1 0 2
1 0 1
3 1 0
1 0 0
0 1 1
1 2 2
2 0 0
3 2 3
2 2 2
3 3 2
10 6
0 1 0
1 1 2
2 1 0
1 1 1
0 1 2
1 2 2
2 1 1
0 0 1
2 0 1
0 0 0
10 8
0 1 1
3 0 1
2 3 3
2 0 2
1 2 0
3 1 1
1 1 3
1 2 3
3 2 1
0 1 0
10 8
2 2 0
2 1 2
0 1 2
1 0 2
1 1 0
1 0 1
2 2 2
2 2 1
0 0 1
1 2 1
10 5
0 3 1
3 3 1
3 0 1
0 0 0
0 2 1
3 2 2
2 3 0
0 3 0
0 2 2
0 2 3
10 9
0 0 3
1 1 3
3 1 3
1 3 0
2 2 3
1 3 3
1 1 1
1 2 0
3 1 1
0 0 0
10 4
1 0 1
0 1 0
2 0 2
0 2 2
2 2 1
0 0 1
1 2 1
2 1 1
1 2 2
2 0 1
10 5
2 0 1
1 1 1
2 1 1
0 1 1
0 0 0
2 2 2
0 0 2
1 2 1
0 1 2
2 2 0
10 5
1 3 2
3 3 3
2 3 3
2 1 2
3 2 0
1 2 2
2 2 2
2 1 1
1 1 0
2 0 0
10 3
3 3 0
0 3 3
2 0 0
1 1 1
2 2 2
3 1 3
3 2 2
0 1 0
2 2 1
1 3 2
10 9
0 1 2
1 2 2
2 1 0
2 0 0
2 1 1
1 0 1
0 2 1
1 0 0
1 1 2
0 2 2
10 6
0 2 1
2 1 2
1 0 1
1 0 0
2 1 1
2 0 1
1 1 2
1 1 1
1 2 0
2 0 0
10 7
2 1 0
0 0 1
1 0 1
0 2 2
3 0 1
3 3 2
3 3 3
3 2 1
0 3 2
1 2 1
10 8
0 1 0
2 1 0
0 0 0
2 2 1
1 0 2
1 2 0
1 2 2
0 0 1
2 0 0
0 1 1
10 6
0 2 1
1 0 0
1 2 0
2 1 0
0 1 0
2 2 0
1 1 2
2 0 2
1 2 2
1 1 1
10 3
0 2 2
0 0 3
2 0 3
2 3 0
1 2 0
1 3 0
1 1 1
0 3 1
0 2 3
0 2 1
10 3
0 1 2
0 2 0
2 1 0
0 3 3
2 0 1
3 2 0
1 3 2
0 0 0
2 0 3
2 3 2
10 6
2 3 2
0 3 1
0 0 0
3 2 3
2 0 1
0 3 0
2 2 1
2 2 0
1 1 2
1 3 0
10 3
2 1 2
0 2 2
0 2 0
0 0 0
1 2 2
1 1 0
2 0 2
2 1 0
0 1 2
0 1 0
10 7
0 3 2
0 0 1
3 0 0
3 3 0
2 0 2
2 3 0
3 1 2
1 3 0
1 0 2
3 0 2
10 4
1 1 0
2 1 2
2 0 2
0 0 2
1 0 0
2 2 2
1 0 2
0 1 1
2 0 1
2 2 1
10 9
0 3 0
0 0 1
1 3 1
3 0 1
0 2 3
0 3 3
2 3 0
3 1 0
0 0 2
2 3 3
10 9
1 2 2
0 2 2
2 0 1
0 2 1
2 2 1
1 1 2
1 2 1
2 0 2
0 1 0
0 0 0
10 3
1 0 2
0 2 2
1 1 1
1 1 2
2 2 0
0 2 1
1 1 0
1 2 0
2 0 2
0 1 1
10 7
3 2 3
0 3 0
0 1 3
0 3 1
0 0 0
3 1 2
2 3 0
2 2 2
3 0 1
2 0 1
10 3
1 1 2
0 2 1
2 2 2
0 2 0
2 2 1
0 0 1
1 0 0
2 0 1
1 1 0
0 2 2
10 3
1 1 1
1 1 0
2 1 0
2 2 1
2 0 1
0 0 0
2 1 2
2 1 1
2 0 2
0 0 1
10 6
1 1 1
0 1 1
1 0 0
0 0 2
2 1 0
0 2 0
2 1 1
2 2 0
1 1 0
1 0 2
10 2
0 2 2
2 2 3
2 3 2
1 3 1
0 2 3
0 1 1
0 1 0
3 1 0
3 3 2
1 1 0
10 5
2 1 1
2 2 1
2 1 2
1 0 1
1 1 1
0 0 1
0 2 1
2 0 1
2 1 0
1 2 2
10 2
1 2 1
0 3 3
1 3 2
3 1 0
2 1 3
0 2 2
1 1 3
1 3 1
0 1 1
2 3 0
10 7
3 2 3
2 1 3
3 1 3
0 0 1
0 2 0
1 0 2
1 0 0
3 1 2
1 1 2
2 3 3
10 8
0 2 2
2 1 2
2 0 2
0 1 1
2 1 1
1 2 0
2 2 1
1 0 2
2 0 0
0 1 0
10 5
2 2 1
2 0 0
2 1 0
0 0 2
1 1 1
1 0 2
1 1 2
0 2 1
0 1 1
1 0 0
10 6
1 0 0
1 2 0
2 2 2
2 1 1
2 0 2
2 2 0
1 0 1
0 2 1
2 0 1
0 2 2
10 3
2 3 2
2 1 3
0 3 0
3 1 0
2 0 2
2 0 1
3 3 2
3 1 3
0 2 1
3 3 3
10 2
1 1 1
0 1 2
2 2 1
1 0 0
0 2 0
0 0 2
2 2 2
0 0 1
2 0 1
0 2 2
10 8
0 2 2
0 0 0
2 1 1
1 0 1
1 1 2
0 1 2
0 2 1
2 2 1
1 0 0
2 1 2
10 9
1 1 1
0 0 1
1 0 0
2 2 1
2 0 1
1 2 0
0 2 0
2 2 2
1 0 1
2 2 0
10 9
0 1 0
1 0 1
1 1 0
0 2 2
2 0 0
1 1 1
2 1 2
2 2 2
0 0 2
2 2 0
10 5
0 2 2
2 1 0
2 2 2
0 0 2
1 0 2
2 0 2
1 0 1
0 2 0
1 0 0
1 2 1
10 7
0 1 0
2 1 1
1 2 0
1 1 0
1 1 2
0 1 2
0 0 1
1 0 1
2 0 2
2 1 2
10 3
0 1 2
0 2 0
1 1 2
0 0 1
1 0 2
1 1 1
2 0 1
1 2 0
1 0 0
0 0 2
10 2
1 2 2
1 0 0
2 1 2
2 0 2
0 1 0
1 1 1
0 2 1
1 2 0
2 1 1
2 0 0
10 9
0 0 2
2 2 0
2 1 1
0 0 1
1 1 1
1 2 1
1 0 2
1 2 0
2 1 2
1 0 1
10 5
2 2 0
1 1 2
0 2 1
0 1 1
1 2 0
2 0 1
1 0 0
0 2 0
2 1 1
2 0 2
10 7
0 1 1
3 3 0
2 3 0
1 2 3
2 1 2
3 2 1
3 1 1
3 0 1
3 0 2
3 3 1
10 5
1 2 2
1 2 0
0 1 2
1 1 0
1 1 2
0 0 1
2 1 0
0 2 0
0 1 0
1 0 0
10 8
0 1 1
1 0 3
1 1 2
3 1 3
2 3 1
1 0 2
3 2 1
2 2 0
2 1 2
3 2 3
10 2
2 0 1
1 1 0
0 0 1
2 2 1
1 2 1
0 1 0
2 0 2
0 0 2
1 2 0
2 1 0
10 7
0 3 1
1 3 0
1 1 1
3 0 3
0 2 1
3 3 2
1 3 1
0 3 3
1 0 2
0 2 2
10 7
0 3 2
2 3 3
0 1 2
2 3 1
1 0 1
0 2 3
0 1 1
3 3 3
1 2 3
3 3 1
10 2
0 0 0
2 0 0
1 1 2
1 1 1
2 2 1
0 1 0
2 0 1
0 2 1
2 2 0
1 0 0
10 7
2 2 1
2 0 0
2 2 2
1 2 1
1 1 1
0 1 1
0 2 1
0 0 0
1 1 0
0 2 2
10 3
0 0 0
1 2 1
1 1 2
2 1 1
0 1 0
2 1 2
1 2 0
1 1 1
1 0 2
0 0 1
10 8
1 3 3
3 3 3
0 2 2
0 1 2
3 1 3
3 3 2
0 1 0
2 1 1
1 0 1
2 0 0
10 4
1 0 0
2 1 1
1 2 1
2 1 0
2 0 2
2 2 2
1 2 2
1 2 0
1 0 1
1 1 1
10 2
1 1 1
0 1 0
3 3 0
3 1 1
0 0 1
1 2 1
2 1 0
0 3 0
1 2 2
0 2 3
10 5
2 2 1
2 2 0
0 0 2
1 2 1
2 1 0
1 1 1
2 1 2
0 2 1
0 1 2
0 2 2
10 9
1 0 1
2 1 3
3 0 2
3 2 3
1 1 0
1 2 2
1 2 1
3 1 0
2 0 0
3 1 3
10 8
2 3 1
3 0 0
0 3 0
3 2 0
2 3 2
0 3 2
1 2 3
2 0 2
1 2 2
1 0 1
10 8
2 0 2
2 1 3
1 0 1
2 3 2
1 1 0
0 2 1
1 3 1
2 0 3
3 0 1
0 0 2
10 3
2 2 2
2 3 2
0 0 3
0 2 0
0 0 1
2 2 1
0 2 1
2 1 1
1 1 2
3 0 0
10 4
3 2 0
3 3 0
1 2 2
1 3 3
1 1 2
3 3 3
1 3 0
2 0 2
3 1 0
0 3 2
10 9
2 0 2
0 3 3
3 2 3
1 0 0
0 1 2
1 1 0
1 3 2
3 0 1
1 2 2
2 0 3
10 6
0 0 1
0 2 0
2 0 0
2 2 1
2 2 2
1 0 1
2 1 1
0 0 0
0 1 0
2 0 2
10 2
2 2 1
1 0 1
0 0 2
0 2 2
2 2 0
2 2 2
0 0 0
1 2 1
2 0 0
0 1 2
10 7
3 1 0
0 3 2
1 0 3
3 3 2
1 3 1
2 1 0
2 3 1
2 0 1
3 0 0
3 3 1
10 5
0 2 0
2 0 2
0 2 1
2 2 2
0 2 2
2 2 0
1 0 0
1 2 0
2 1 1
1 1 0
10 2
2 1 2
3 2 2
1 1 0
0 0 1
0 1 2
2 2 2
3 2 3
0 1 1
1 2 3
0 2 3
10 3
1 1 1
1 0 2
0 1 1
0 2 0
2 1 2
1 0 0
2 2 0
2 0 2
2 0 0
1 2 2
10 7
1 2 0
1 1 0
0 0 2
1 1 1
0 1 0
0 1 1
1 0 0
0 0 1
2 1 2
2 2 1
10 8
2 2 1
2 0 0
1 0 1
2 2 2
1 2 1
2 1 1
0 1 1
1 1 2
2 0 2
1 2 0
10 3
0 2 3
0 2 2
0 3 0
3 3 1
1 3 1
2 1 0
3 0 0
2 3 1
3 2 3
3 2 2
10 7
2 1 1
1 0 2
1 2 1
2 2 0
1 1 0
0 0 0
2 1 2
0 0 2
1 1 2
0 0 1
10 7
3 0 2
1 2 1
1 3 2
1 2 3
1 0 0
0 2 0
2 2 0
1 0 3
1 1 2
0 3 1
10 9
3 3 1
0 0 1
2 3 3
1 0 1
1 0 0
0 0 2
0 1 2
3 3 2
2 0 3
3 2 0
10 7
0 1 0
2 1 1
0 1 2
1 1 2
2 0 2
2 1 2
2 0 1
0 2 0
1 2 0
2 2 2
10 4
0 0 3
2 1 0
0 2 2
1 3 0
3 1 0
1 1 2
0 3 1
2 3 1
2 2 1
2 3 3
10 9
0 0 0
2 0 3
2 0 0
1 2 1
3 1 3
1 3 2
0 0 2
0 3 3
0 2 3
3 2 3
10 2
3 2 3
2 3 1
0 3 1
1 3 0
0 0 3
0 1 1
1 1 3
2 3 0
1 2 0
3 1 2
10 6
2 1 0
3 2 1
3 0 2
0 3 1
1 0 1
3 2 2
3 3 1
2 2 1
0 3 2
2 1 2
10 2
2 2 1
1 2 2
1 2 0
0 0 0
1 1 0
0 1 2
2 1 0
2 0 1
2 0 2
1 0 0
10 6
0 1 2
3 3 1
0 3 1
1 2 1
3 2 1
0 3 0
3 1 0
0 0 2
3 1 2
0 0 3
10 9
1 0 0
2 0 1
1 1 2
2 1 1
2 1 0
1 0 2
0 2 0
2 0 2
2 0 0
1 2 0
10 5
1 0 0
1 2 0
1 0 2
1 1 0
0 1 2
0 2 2
0 0 2
2 1 2
2 2 2
1 2 1
10 7
2 1 3
1 3 0
2 3 3
0 3 0
0 3 3
2 0 1
0 3 1
2 1 0
2 3 1
0 3 2
10 7
0 1 0
0 1 2
1 0 1
2 1 0
0 0 0
0 1 1
2 2 2
2 1 2
1 2 0
2 0 0
10 4
3 2 1
0 2 0
1 0 3
2 0 0
1 1 0
3 0 0
2 2 1
1 3 0
2 2 0
3 1 1
10 8
1 2 3
3 3 1
0 1 0
3 0 1
1 0 0
1 0 2
3 2 0
0 2 1
0 1 1
2 0 2
10 7
1 0 0
1 1 2
2 2 2
1 0 1
1 2 1
2 0 0
0 1 1
0 1 0
1 1 0
2 0 1
10 9
1 2 2
2 0 2
3 1 3
2 2 3
3 0 0
2 3 0
3 1 1
3 3 0
2 1 3
1 2 3
10 2
3 2 2
2 3 1
1 1 2
1 0 1
3 1 1
2 3 2
3 1 0
2 0 0
0 0 0
3 2 0
10 2
2 3 0
0 1 1
3 2 3
0 3 3
0 2 2
3 3 2
1 0 0
2 0 1
3 0 0
3 1 3
10 7
1 0 1
0 0 2
0 1 1
2 0 0
0 1 2
2 1 0
2 0 1
0 2 2
1 1 0
2 1 1
10 6
3 1 1
0 3 1
1 3 1
0 0 2
2 2 1
0 3 0
3 2 2
3 0 3
1 2 3
0 0 0
10 9
0 0 1
0 2 2
2 1 1
2 1 0
2 0 1
0 0 0
1 1 1
2 1 2
0 1 2
2 0 0
10 6
0 1 1
1 2 3
2 1 0
2 0 0
3 1 1
1 0 3
2 0 1
2 3 2
1 2 1
0 0 0
10 6
0 1 0
0 0 1
0 2 0
2 1 1
2 0 2
1 0 1
2 2 0
2 0 1
0 2 2
1 1 2
10 6
0 2 3
1 0 3
2 2 1
3 2 1
1 0 2
2 2 2
2 3 1
2 0 2
0 0 0
2 1 2
10 8
1 2 1
0 1 0
1 1 1
2 1 1
2 1 2
2 1 0
1 0 2
0 2 2
2 0 2
0 1 2
10 2
2 2 2
0 3 2
1 0 3
3 1 0
1 2 2
0 2 2
3 2 3
1 1 3
2 3 3
1 1 0
10 7
0 0 2
0 2 2
0 0 0
0 0 1
2 1 2
0 1 1
1 2 1
1 0 2
2 2 1
2 1 1
10 6
2 0 1
1 1 1
1 2 1
1 1 2
0 2 2
0 0 0
0 0 1
0 2 1
1 0 2
2 2 1
10 4
2 0 0
2 2 2
3 3 3
1 1 0
0 1 3
0 0 3
2 1 0
0 2 0
2 1 2
2 2 1
10 7
0 2 2
0 0 0
1 2 2
2 1 0
0 0 2
2 2 0
0 2 1
1 1 2
0 1 0
0 0 1
10 4
3 0 2
1 2 3
2 0 3
3 1 3
1 1 3
0 0 0
0 0 2
3 0 1
0 1 3
1 1 1
10 7
2 2 2
0 1 1
1 2 2
0 1 0
2 1 1
2 2 1
1 1 2
1 0 0
0 0 1
1 0 2
10 2
0 0 0
1 3 2
3 3 3
1 1 0
0 1 0
0 3 2
0 1 3
1 2 1
1 2 3
0 1 1
10 2
1 3 0
0 0 2
0 2 2
0 1 1
0 3 2
0 0 0
3 2 2
0 3 1
1 0 2
1 3 3
10 9
1 1 2
1 0 1
0 2 2
0 3 3
1 0 2
2 0 0
2 1 2
0 1 3
2 2 2
1 2 0
10 2
3 0 3
0 2 3
0 1 2
1 1 2
3 1 2
3 3 2
0 2 2
0 2 0
0 1 0
3 2 2
10 9
3 1 0
0 0 3
1 2 0
2 3 2
3 2 2
0 3 3
0 1 2
2 3 3
0 3 0
2 1 2
10 2
1 3 3
2 0 1
2 3 2
1 0 2
1 1 3
3 2 2
3 1 0
0 1 1
0 3 1
2 0 2
10 2
0 1 3
1 2 0
3 1 0
0 0 2
1 1 1
3 3 1
1 3 0
2 0 2
2 2 2
3 2 3
10 7
3 3 3
2 0 3
3 2 3
3 0 2
0 0 2
0 0 1
2 3 0
0 2 2
3 1 2
3 3 0
10 8
1 1 2
0 1 2
1 2 1
2 1 2
0 1 0
0 0 0
2 2 0
0 0 2
2 0 1
1 2 0
10 6
1 0 2
2 1 0
0 0 2
0 1 2
2 1 1
2 0 1
1 2 1
1 2 0
2 2 0
0 1 1
10 2
3 2 1
1 2 0
0 1 3
3 3 3
2 1 2
3 1 0
0 3 2
3 3 2
1 2 2
3 0 0
10 7
0 1 0
2 2 1
2 1 0
0 1 1
1 1 0
0 2 2
1 2 2
0 2 0
1 2 0
2 2 2
10 3
1 1 1
2 1 1
3 2 3
0 0 0
1 1 3
2 0 3
2 1 0
3 1 0
1 0 1
2 2 1
10 5
1 1 1
2 1 2
0 1 1
0 1 2
0 1 0
1 0 0
0 2 2
2 0 0
2 1 1
0 2 1
10 3
2 3 2
3 3 3
3 3 0
1 0 0
2 0 0
3 0 1
1 2 2
1 2 0
2 2 3
3 3 2
10 9
0 2 3
2 2 2
0 3 3
3 0 0
3 2 0
3 2 3
1 3 3
1 2 1
3 0 2
2 3 0
10 9
0 0 1
2 1 0
1 2 0
0 1 2
0 2 0
2 2 0
1 1 0
1 2 1
0 0 0
2 1 1
10 3
2 1 2
2 1 1
0 2 1
1 3 1
2 0 1
0 1 2
1 1 1
2 0 0
3 3 3
1 2 2
10 8
2 1 1
2 2 3
0 0 3
0 3 0
1 0 1
3 2 3
2 3 2
0 1 1
2 1 3
2 2 2
10 8
0 0 0
1 1 0
3 0 1
1 3 0
1 1 2
1 1 3
1 0 3
1 2 3
2 3 0
0 3 3
10 9
1 1 1
0 1 1
2 1 1
2 0 2
0 2 2
0 0 2
1 0 2
2 2 2
1 2 1
0 1 2
10 7
3 1 2
2 1 3
2 0 2
2 3 1
3 1 3
1 0 0
2 2 0
1 2 2
1 2 0
2 2 2
10 7
0 0 1
2 1 2
0 1 0
0 2 2
1 2 2
2 0 2
2 2 0
2 1 0
1 0 0
0 2 0
10 2
3 3 1
1 3 3
1 0 3
2 0 3
1 0 1
3 0 0
2 3 3
0 3 0
3 0 3
3 3 3
10 2
2 2 2
3 0 2
2 3 1
1 3 1
1 3 3
0 3 0
1 2 2
3 0 1
3 2 2
3 2 0
10 7
1 2 2
0 0 2
0 1 2
1 1 0
1 2 0
2 2 2
2 2 1
2 0 2
2 2 0
0 0 0
10 6
3 1 1
0 3 1
0 0 2
1 0 0
2 2 0
1 2 3
2 1 0
2 3 1
1 2 1
3 0 1
10 2
3 0 2
3 2 1
1 2 1
1 2 2
2 1 3
0 2 3
0 0 1
2 0 0
1 0 0
3 0 1
10 9
2 2 0
1 1 3
2 3 1
3 1 0
0 1 0
3 0 3
0 0 1
1 3 1
0 1 2
1 1 2
10 2
3 2 1
0 2 3
3 3 2
1 0 2
3 1 2
0 2 0
2 2 3
2 0 2
1 3 2
3 2 3
10 2
0 0 1
2 2 2
2 1 0
1 1 0
0 1 0
0 0 2
0 1 2
1 0 2
2 0 0
2 0 1
10 3
0 2 0
0 0 1
2 1 1
0 2 2
0 1 1
2 0 2
2 2 1
2 1 2
2 0 0
0 1 0
10 9
3 2 1
3 3 1
2 0 2
1 1 2
0 0 0
2 1 2
3 3 3
1 2 1
1 3 0
0 0 3
10 5
1 2 0
0 2 0
0 0 1
1 0 1
1 2 2
0 1 2
0 0 2
0 1 0
0 1 1
2 1 2
10 3
2 0 2
0 3 1
3 3 3
1 3 1
3 0 3
3 2 2
2 2 3
1 1 3
0 2 2
3 3 2
10 6
2 1 0
1 0 1
1 2 1
2 0 1
0 0 0
2 0 2
1 0 0
0 2 1
1 1 0
1 1 2
10 6
0 0 0
2 0 1
2 1 1
0 3 1
3 3 1
3 2 2
0 3 0
1 1 2
1 2 0
1 2 3
10 4
0 1 3
0 2 1
1 2 3
0 0 1
2 0 0
0 0 2
1 0 1
2 2 3
0 3 1
3 3 3
10 3
3 0 3
0 0 3
3 3 1
2 1 2
0 1 0
3 1 2
3 2 1
3 0 1
2 3 2
1 1 0
10 6
2 2 1
3 2 0
3 1 2
0 1 0
0 0 2
3 3 1
3 0 2
1 2 0
2 0 2
2 1 1
10 5
2 2 1
0 0 1
1 2 0
0 2 1
0 1 1
1 0 2
1 0 0
2 2 0
2 0 0
2 0 1
10 5
1 2 1
1 1 1
1 2 0
1 0 1
0 1 2
1 1 2
2 0 2
0 2 1
1 0 0
0 0 1
10 3
1 1 3
0 0 2
0 0 0
3 3 0
1 2 2
1 0 0
2 1 3
3 0 2
2 1 1
1 3 3
10 8
1 1 0
2 2 2
1 1 1
2 1 2
0 2 1
1 0 2
2 0 2
0 2 2
1 2 2
1 2 0
10 4
1 2 2
0 1 2
1 0 2
0 0 1
1 1 2
2 2 0
1 0 1
1 2 1
1 1 1
2 0 1
10 5
0 0 1
1 2 0
3 1 0
2 1 2
2 2 2
1 3 0
2 0 2
1 3 1
2 0 0
3 3 3
10 7
2 0 0
0 0 0
2 2 1
0 2 0
0 1 0
0 1 2
2 1 1
2 0 2
0 0 1
0 1 1
10 3
1 2 3
3 3 0
2 3 0
2 2 3
3 1 2
3 1 1
2 2 2
1 2 2
3 1 3
1 1 1
10 8
3 2 1
2 3 3
1 3 0
2 1 0
2 1 1
0 2 3
0 3 2
3 1 2
0 0 0
0 2 0
10 8
0 0 3
3 1 0
2 0 3
3 3 3
1 3 0
0 2 2
1 1 0
3 0 0
3 0 1
3 3 0
10 3
1 2 3
3 3 1
0 1 2
1 0 2
3 0 1
3 2 3
2 3 0
1 0 1
3 1 1
0 0 1
10 6
0 2 3
1 3 2
0 3 3
2 3 0
1 2 2
2 3 3
0 0 3
2 3 1
1 1 0
0 0 1
10 2
2 0 2
3 3 3
1 3 1
2 1 1
2 3 0
0 0 2
0 1 0
2 3 2
1 1 3
1 3 2
10 4
2 0 0
2 1 0
0 0 2
2 0 1
1 0 2
1 1 2
0 0 1
2 2 0
2 0 2
1 1 0
10 7
0 1 0
2 1 1
1 1 0
0 2 2
0 2 1
2 2 1
0 2 0
1 0 0
0 0 2
0 0 1
10 7
3 2 2
0 0 3
1 1 2
1 2 2
0 0 0
3 0 0
1 1 3
3 1 2
3 3 3
0 2 1
10 9
2 1 0
2 2 0
2 1 1
1 0 1
2 3 3
0 0 0
1 0 0
0 3 0
3 2 0
3 2 2
10 2
0 1 0
1 0 2
0 2 0
1 0 1
0 0 2
2 0 2
2 1 0
1 2 2
1 2 1
0 1 1
10 6
2 2 3
0 3 0
1 2 0
1 0 3
3 2 0
3 3 2
1 1 1
2 1 0
0 3 3
2 0 2
10 4
3 3 1
0 0 1
1 2 3
1 2 0
0 0 0
3 2 1
1 1 3
2 2 0
2 3 3
0 2 1
10 5
3 1 2
3 2 1
3 2 3
2 0 0
1 0 3
1 2 0
2 2 1
1 1 0
3 0 3
1 1 2
10 3
0 2 0
1 0 1
2 2 0
0 0 2
2 1 2
2 0 0
1 0 2
1 1 1
2 0 1
2 1 1
10 7
1 2 0
2 1 1
1 2 1
2 1 2
1 0 2
0 1 2
0 0 1
2 2 2
1 2 2
1 0 0
10 4
0 1 2
2 1 1
1 2 2
2 1 0
2 2 1
1 1 1
1 0 2
1 0 1
1 2 1
2 0 2
10 3
1 2 3
2 0 2
1 3 0
3 3 3
0 2 1
3 0 0
1 3 1
0 2 2
0 3 2
1 3 2
10 3
3 1 0
0 0 2
2 1 1
1 3 1
3 3 0
3 0 2
2 3 2
2 0 3
1 0 2
1 1 2
10 3
2 0 0
2 0 2
0 2 1
1 2 2
1 2 1
2 1 1
0 0 1
1 1 2
0 1 2
1 0 1
10 5
1 0 0
0 0 2
1 2 0
1 0 2
2 1 0
2 2 2
0 0 0
0 1 0
1 1 1
0 1 1
10 2
1 1 1
1 0 2
2 2 1
0 0 1
2 1 2
1 0 1
0 2 1
1 2 0
0 2 2
0 2 0
10 8
3 0 3
2 1 0
1 0 3
0 2 0
3 1 3
3 3 3
3 1 1
3 0 0
0 1 3
1 2 1
10 8
2 2 1
2 0 1
0 2 0
2 0 0
2 2 0
1 0 0
1 1 0
1 1 2
1 0 1
0 2 1
10 4
0 3 3
3 3 2
1 3 1
3 2 3
1 1 2
3 1 2
3 3 3
1 3 3
0 1 1
2 0 2
10 9
3 0 3
1 1 1
1 0 1
2 0 3
2 1 2
0 0 3
1 3 1
0 3 2
0 2 0
1 1 3
10 9
0 0 1
3 0 3
1 3 3
2 2 3
1 0 1
0 1 1
1 3 0
1 2 0
1 2 3
3 2 1
10 8
3 1 0
3 3 0
3 2 3
2 1 2
1 1 2
1 1 1
3 0 2
0 1 0
3 1 1
2 3 3
10 8
0 0 2
1 3 3
0 3 1
2 0 1
0 2 1
2 1 0
0 0 1
1 3 2
1 1 3
2 0 3
10 2
2 3 2
1 2 3
1 2 0
2 1 1
0 2 1
3 2 3
1 1 0
3 2 1
0 0 3
2 0 0
10 9
2 0 2
1 1 2
0 2 1
1 2 0
2 2 2
1 0 1
0 1 2
1 2 2
2 0 0
2 1 2
10 4
2 1 3
0 0 1
3 0 3
2 3 0
1 0 3
0 1 1
0 1 3
3 3 2
3 3 3
2 0 3
10 7
0 1 2
0 2 1
2 0 2
1 0 1
2 1 1
0 2 0
2 1 0
1 0 0
2 2 0
1 2 1
10 7
0 2 1
1 1 3
1 0 1
1 2 0
0 1 1
2 2 2
3 2 2
0 3 0
1 0 0
2 2 3
10 5
2 1 2
1 0 0
1 0 1
2 0 0
1 1 2
0 0 1
2 1 1
0 1 2
0 2 2
0 1 0
10 4
1 0 2
1 2 2
2 1 2
2 2 2
1 0 1
0 1 0
0 1 1
0 0 1
1 1 0
0 1 2
10 5
1 0 1
3 1 0
0 2 3
1 1 3
1 3 0
0 1 2
0 2 0
1 2 0
3 2 2
2 3 3
10 4
2 1 2
1 1 0
0 0 2
1 0 1
0 0 1
2 0 1
1 0 0
0 1 2
2 1 1
0 2 0
10 7
2 1 0
2 1 1
2 0 0
1 2 1
2 0 2
0 0 1
2 2 2
1 1 1
1 0 2
1 0 1
10 9
3 2 2
3 0 2
0 3 3
1 3 1
0 2 2
0 0 0
2 0 3
0 0 1
0 1 1
2 2 1
10 2
2 1 1
2 0 0
0 1 1
0 0 0
2 0 1
2 2 2
0 2 2
0 0 2
0 1 0
2 0 2
10 4
3 3 3
3 1 0
0 1 1
2 0 1
0 2 1
2 1 0
2 1 2
3 1 2
0 3 1
1 2 1
10 2
1 1 2
2 1 1
1 0 2
2 1 0
0 2 2
1 1 1
1 2 1
1 0 0
0 0 1
2 0 0
10 2
3 2 0
3 3 0
3 3 3
3 3 2
3 3 1
1 1 2
1 3 3
1 0 2
3 2 1
2 0 0
10 2
2 3 1
0 3 2
3 2 1
2 1 2
1 2 0
1 1 2
2 1 3
3 0 1
3 3 0
0 0 1
10 6
2 1 0
3 0 1
1 0 0
2 1 1
2 3 1
1 0 2
1 2 3
3 3 0
2 2 3
3 0 2
10 4
2 2 0
1 1 2
2 1 0
0 0 1
1 0 1
1 1 0
0 1 2
0 2 2
2 1 1
0 0 0
10 6
1 0 3
1 1 1
2 3 2
3 1 3
2 2 1
3 2 0
2 2 2
1 0 2
1 3 1
1 0 1
10 4
0 2 1
2 2 0
0 2 2
2 2 1
2 2 2
1 2 1
0 0 2
2 0 0
2 1 2
1 2 0
10 5
1 3 3
1 0 0
1 2 1
3 0 1
0 2 3
2 2 3
3 2 1
3 2 0
0 3 0
1 1 2
10 2
0 0 2
1 2 2
1 2 1
1 0 2
0 2 0
1 0 1
0 0 1
2 0 0
2 1 0
2 0 2
10 9
0 1 2
0 0 0
2 1 0
2 2 0
2 2 2
1 0 2
1 0 1
2 1 1
0 0 2
1 2 1
10 4
3 0 1
2 2 3
1 1 2
1 0 3
3 3 2
2 2 1
3 0 0
0 0 1
2 2 2
1 2 0
10 7
1 1 0
1 1 2
0 1 2
2 1 1
0 0 0
2 2 2
0 2 1
0 2 0
0 0 2
2 1 2
10 7
1 0 0
2 2 0
1 2 2
0 0 1
2 2 2
1 1 1
0 2 2
0 2 1
1 2 1
2 1 2
10 8
0 2 1
2 2 2
0 0 0
1 1 0
0 1 2
1 0 2
1 2 0
0 1 0
2 1 0
1 1 1
10 5
0 2 2
1 0 2
2 1 2
2 2 0
0 0 1
1 0 0
0 1 2
1 1 1
2 0 2
1 1 0
10 7
1 1 0
0 2 1
1 0 2
1 0 0
2 1 2
2 2 2
1 1 1
0 2 0
0 1 1
2 2 1
10 7
0 1 0
0 1 1
1 1 1
1 0 1
2 1 1
2 2 1
1 2 2
1 2 0
0 2 1
0 2 2
10 9
1 3 3
0 3 2
3 0 1
3 1 0
0 0 2
1 0 2
0 1 2
3 1 2
0 1 1
1 1 1
10 6
1 1 1
1 1 0
2 1 1
0 1 2
0 1 0
1 1 2
0 2 2
0 2 1
1 2 0
2 1 2
10 6
2 2 2
1 2 2
1 3 3
0 0 0
0 1 1
3 1 0
0 3 1
2 3 3
0 2 2
1 3 1
10 4
0 2 2
1 1 0
1 0 1
2 2 1
1 0 2
0 0 1
2 1 0
1 2 0
2 0 1
1 1 1
10 5
1 1 2
1 0 2
0 2 2
2 2 1
1 2 0
1 1 0
1 0 1
0 2 0
2 0 1
2 0 2
10 8
0 1 2
2 1 2
0 2 2
0 1 0
0 0 2
1 2 1
1 0 1
0 0 1
1 2 2
2 2 0
10 3
1 2 2
1 1 2
0 2 0
0 1 1
1 2 1
2 2 1
0 1 0
2 2 0
0 2 1
2 1 0
10 5
2 1 2
3 0 1
2 2 3
2 3 1
0 3 0
0 2 2
1 3 3
3 1 1
1 2 1
0 3 2
10 9
2 1 0
0 1 0
3 3 2
1 3 1
0 3 1
1 2 2
2 1 3
1 0 3
0 0 0
2 1 1
10 5
1 0 2
2 2 1
0 2 2
0 0 0
2 1 1
1 1 2
0 0 2
1 1 0
1 2 2
2 2 0
10 3
0 1 0
1 1 0
1 0 2
1 0 0
0 0 0
0 1 2
0 2 0
2 0 2
2 1 2
0 1 1
10 8
0 0 3
2 0 3
0 3 2
3 1 1
0 0 0
3 0 2
1 3 0
3 3 2
2 1 3
1 0 2
10 7
2 0 0
1 2 2
0 2 0
2 1 1
1 0 0
0 1 2
2 2 2
2 0 1
2 2 1
1 1 2
10 6
1 3 1
3 0 3
2 1 0
2 1 2
0 3 0
1 2 3
2 0 3
0 2 3
1 1 1
0 1 1
10 2
1 2 2
2 0 0
0 2 2
0 1 0
2 0 1
2 2 0
0 1 2
0 0 2
1 0 0
0 2 1
10 5
1 1 2
2 0 2
2 2 2
1 0 2
0 0 2
2 2 0
0 1 1
0 2 0
1 2 0
1 0 1
10 5
3 2 1
0 3 3
0 3 1
2 2 2
1 2 0
0 3 2
3 3 2
2 3 1
1 0 2
0 2 0
10 6
1 2 3
0 1 0
3 3 3
3 2 1
0 0 1
2 1 3
1 3 1
3 0 3
2 0 1
2 3 2
10 8
1 1 2
2 1 0
1 1 0
2 2 0
0 0 2
0 2 0
2 2 2
2 1 1
0 2 2
1 1 1
10 4
0 0 0
2 2 0
2 0 2
0 2 2
0 1 2
0 0 2
0 1 1
1 1 2
1 0 2
2 1 1
10 8
2 2 2
2 0 1
1 2 2
2 1 0
0 1 2
0 2 1
2 0 2
1 0 2
0 0 0
2 2 1
10 7
2 0 2
1 2 2
2 2 0
0 2 1
0 1 2
1 2 0
2 2 2
2 0 0
1 0 1
1 1 1
10 4
1 1 0
0 2 2
1 3 1
1 2 2
3 2 2
3 1 0
0 1 1
0 0 2
2 3 0
0 1 3
10 2
0 0 2
1 1 0
1 1 1
2 1 0
1 2 2
0 2 0
1 2 1
2 0 0
0 1 2
2 0 1
10 3
1 1 0
0 0 3
0 1 1
0 3 0
1 3 2
2 2 0
3 0 3
2 1 1
2 2 3
3 2 2
10 7
1 1 1
2 2 2
2 1 2
0 1 0
1 0 0
0 0 2
2 0 0
1 2 1
0 2 2
2 1 1
10 6
0 1 3
1 3 2
3 2 1
3 1 0
1 1 2
0 1 1
1 3 0
2 3 2
0 2 1
0 3 3
10 3
1 3 3
0 0 0
2 0 2
0 2 3
2 2 0
1 0 3
0 2 1
0 2 2
1 1 1
3 3 2
10 2
1 2 1
1 2 0
2 0 1
0 2 2
2 1 1
0 1 1
2 2 1
2 0 0
1 0 1
1 0 2
10 4
0 3 3
2 1 2
0 2 3
1 3 2
3 3 2
2 1 3
1 0 0
2 1 1
1 1 2
3 3 3
10 4
0 0 0
1 1 1
2 2 2
1 0 0
2 1 2
2 0 2
2 0 0
1 1 0
0 1 2
1 0 2
10 3
3 2 1
2 1 0
1 1 3
1 0 1
1 2 0
2 2 1
3 1 3
1 3 0
3 3 1
0 3 1
10 8
1 1 0
0 1 1
1 2 2
2 1 1
0 2 1
2 1 2
0 0 0
0 1 2
0 2 0
2 2 0
10 2
1 0 1
2 0 0
1 2 2
1 0 0
1 1 1
2 2 2
0 0 2
0 1 2
2 0 2
1 2 1
10 2
0 2 1
2 2 2
1 0 2
1 0 1
0 1 1
1 1 2
2 2 0
1 2 1
0 2 0
0 0 2
10 6
2 2 0
1 2 0
1 1 2
0 0 2
2 0 0
0 2 1
1 2 2
2 1 0
2 2 2
0 2 0
10 4
3 0 2
1 3 2
2 1 0
0 1 3
1 0 3
3 3 0
3 2 2
1 3 0
3 1 0
3 1 1
10 5
2 1 0
1 0 2
2 0 1
1 1 1
0 2 1
0 1 1
2 1 1
0 2 0
0 0 2
0 0 1
10 3
1 1 3
2 0 0
1 1 2
1 0 0
3 2 1
2 3 0
1 0 3
2 2 2
3 2 2
0 1 0
10 5
1 0 1
0 2 2
0 1 1
2 0 2
1 0 2
0 1 2
2 1 1
2 0 0
2 2 0
0 0 2
10 2
2 1 0
2 2 0
2 2 1
1 1 1
1 0 1
1 0 0
1 0 2
0 1 0
1 2 1
2 0 1
10 2
0 0 1
1 2 3
3 0 2
3 3 2
0 1 1
2 0 0
3 1 2
3 2 0
3 2 2
1 1 2
10 7
0 0 1
0 0 0
0 2 1
0 1 2
1 2 2
2 0 2
0 2 0
1 0 0
0 1 1
2 1 0
10 4
2 2 1
2 0 1
1 0 1
0 1 0
1 2 1
2 2 2
0 0 2
1 1 2
0 2 0
1 2 0
10 8
2 0 1
2 3 2
1 0 2
3 0 0
3 2 2
0 2 2
3 2 1
0 0 3
2 3 0
0 2 3
10 9
2 2 1
2 0 0
2 2 0
1 1 0
2 0 2
2 1 0
0 1 2
0 1 1
2 2 2
0 0 0
10 9
1 2 2
2 2 1
2 2 0
0 0 2
2 1 2
0 2 1
0 2 2
1 1 1
1 0 1
1 0 0
10 8
1 2 0
0 1 1
0 0 0
0 2 1
0 2 2
2 2 1
0 1 2
0 1 0
1 1 2
1 0 0
10 9
0 0 0
0 3 0
2 2 3
0 0 1
0 2 2
0 3 2
2 0 1
0 1 1
3 1 2
1 3 2
10 9
2 0 2
2 0 0
0 0 0
2 2 2
0 1 0
0 0 2
0 1 1
2 2 0
0 2 1
0 2 2
10 9
1 0 1
3 3 2
0 2 1
3 1 0
2 3 1
1 0 0
1 1 0
2 1 3
3 3 3
0 2 3
10 8
1 2 3
3 2 3
0 3 3
3 0 2
3 0 0
2 0 2
2 1 1
3 1 3
2 1 0
1 3 0
10 8
1 1 0
0 1 1
0 0 0
2 2 0
0 1 0
0 2 2
1 2 2
0 1 2
2 1 1
2 2 1
10 7
2 0 0
2 2 2
3 2 2
0 1 1
3 0 2
1 2 1
1 2 2
0 2 0
2 3 2
0 0 3
10 8
2 2 3
2 1 0
0 1 1
1 0 0
1 1 0
3 1 0
3 0 1
2 0 0
0 3 0
2 2 0
10 8
0 2 2
2 2 1
2 0 2
2 0 1
0 1 0
1 2 2
0 1 2
1 0 1
1 0 2
1 1 1
10 5
0 2 1
0 0 1
2 1 2
0 0 0
2 0 2
2 0 0
0 0 2
1 1 2
2 1 0
2 2 0
10 8
1 0 1
2 1 1
0 2 1
2 1 0
1 0 2
0 1 0
0 2 2
2 2 0
2 0 0
1 1 1
10 9
3 0 2
1 0 1
2 0 2
2 1 0
2 3 3
0 1 0
1 3 3
2 3 1
2 0 3
3 1 3
10 5
0 2 1
1 2 1
1 2 2
0 1 0
1 0 0
2 1 0
1 0 2
2 0 0
0 0 2
1 0 1
10 4
0 2 2
1 1 2
1 2 1
2 0 0
0 0 0
2 2 2
1 2 2
1 1 0
2 2 1
1 0 1
10 4
2 0 1
1 1 2
2 0 0
2 2 0
1 2 2
0 2 0
1 2 1
2 1 2
0 0 1
1 0 0
10 7
1 0 2
2 1 0
2 0 2
1 0 0
0 1 2
2 1 1
2 2 0
1 2 1
2 2 1
1 2 0
10 2
0 3 0
2 2 2
0 0 0
2 1 3
1 0 3
3 3 1
1 3 0
2 0 1
0 3 3
1 1 1
10 7
2 1 0
2 1 3
1 3 1
1 1 0
3 0 0
0 3 0
2 1 1
0 2 2
3 3 2
0 2 3
10 6
1 2 1
3 0 0
0 0 2
2 3 3
2 1 3
1 3 0
1 1 3
2 0 0
2 1 2
0 3 1
10 3
2 0 0
0 0 2
1 1 0
0 2 0
2 2 0
1 2 1
1 1 2
2 1 1
2 1 0
0 2 1
10 4
1 1 1
0 3 2
1 0 2
3 3 2
1 2 0
0 2 0
2 3 3
0 2 2
3 2 3
0 0 2
10 8
2 0 2
1 2 3
0 2 1
3 0 2
0 3 3
1 1 1
1 2 1
2 3 1
3 0 1
3 2 2
10 5
1 0 0
1 0 1
0 0 0
2 0 0
0 2 2
0 2 1
0 1 0
1 2 2
1 0 2
2 1 1
10 9
2 1 2
2 0 2
2 0 1
0 2 2
2 0 0
2 1 1
1 0 2
1 2 0
1 1 1
0 2 0
10 3
3 0 1
1 3 1
0 0 0
2 0 2
2 3 1
0 2 0
1 1 1
1 0 2
1 2 2
3 0 0
10 9
3 0 1
0 0 3
0 2 3
2 3 0
1 3 1
0 1 1
3 2 2
2 2 2
1 2 2
0 1 3
10 4
0 2 1
0 1 0
0 0 0
0 1 1
2 1 1
2 1 2
2 2 1
1 2 1
2 0 2
2 1 0
10 2
0 0 0
0 0 2
2 0 2
0 2 2
2 0 1
0 2 0
1 2 2
1 0 2
1 1 0
1 0 0
10 6
0 1 1
1 0 1
3 2 3
2 0 2
1 1 0
3 0 2
0 3 2
3 1 0
0 0 2
3 3 1
10 8
0 0 1
1 1 0
0 0 0
1 1 1
2 1 1
2 0 2
0 2 1
1 2 1
0 1 2
0 1 0
10 2
1 1 0
0 2 1
1 0 1
0 2 0
0 0 2
2 1 2
0 1 1
0 0 1
2 0 2
1 2 1
10 8
3 2 2
1 0 2
1 3 0
3 1 3
2 0 2
2 1 0
3 1 2
2 2 0
0 0 3
0 1 0
10 3
2 3 0
1 3 1
0 3 1
2 3 1
1 1 1
2 1 1
3 3 3
0 0 1
3 2 3
3 3 2
10 3
1 0 0
0 1 0
2 0 1
1 1 2
1 1 0
1 1 1
2 0 2
0 0 0
0 0 1
2 0 0
10 8
0 2 2
1 0 2
1 2 0
2 1 3
0 3 1
0 0 3
1 1 1
0 1 1
2 3 1
3 1 1
10 9
1 1 1
0 0 2
0 2 0
2 1 0
2 1 1
1 0 0
2 2 0
1 2 1
2 0 2
2 1 2
10 4
1 2 2
2 2 0
0 1 2
0 0 2
1 2 0
2 0 2
1 2 1
2 2 1
1 0 1
1 1 2
10 4
0 0 1
2 2 1
0 1 2
1 2 0
2 1 0
1 1 0
1 0 1
2 1 1
1 2 2
1 1 1
10 9
0 2 0
1 2 0
2 2 0
0 0 0
2 0 2
1 2 1
2 0 0
2 1 1
2 2 2
2 1 2
10 7
0 2 2
2 2 3
2 0 3
2 0 1
1 0 3
2 1 3
3 0 3
3 2 2
2 2 1
1 2 0
10 5
2 1 3
2 0 2
3 1 0
2 2 2
0 3 1
2 3 1
3 3 0
1 2 2
1 3 2
3 0 3
10 9
1 0 0
2 0 0
1 1 2
2 0 2
0 0 2
0 1 2
2 0 1
0 1 1
1 1 1
0 1 0
10 4
0 2 0
2 1 0
3 3 1
3 3 0
3 0 3
3 1 0
3 2 0
0 3 2
0 0 3
2 3 1
10 6
0 0 2
0 1 2
1 0 2
0 1 1
1 1 0
1 0 1
2 0 2
2 2 0
0 1 0
2 2 1
10 2
1 1 1
0 2 0
2 0 2
0 0 0
0 1 0
2 2 0
2 1 0
0 2 2
2 2 1
1 0 1
10 6
3 0 2
0 2 3
1 0 1
1 3 2
3 3 1
3 1 3
2 2 0
0 0 3
0 1 1
1 1 0
10 5
1 0 1
0 1 3
2 3 0
0 0 2
1 0 3
3 1 0
0 2 1
1 1 3
2 0 2
2 3 1
10 3
0 1 2
1 0 0
0 2 0
1 0 2
2 1 0
1 2 2
2 2 0
0 0 1
0 1 1
0 0 0
10 6
2 1 0
1 1 2
2 1 2
0 1 2
0 2 0
0 2 2
1 0 1
2 0 2
0 1 0
1 0 2
10 7
2 0 0
1 1 2
1 2 1
1 3 2
0 0 0
3 2 3
2 3 2
2 2 0
0 1 3
2 3 3
10 2
0 2 1
1 1 1
2 0 1
2 1 0
0 1 1
2 2 2
1 0 0
0 0 1
1 2 1
1 2 0
10 3
1 2 2
2 1 2
1 1 1
2 0 0
0 1 2
0 2 0
2 0 1
2 2 1
1 0 1
2 0 2
10 2
2 2 2
1 2 1
2 1 1
0 1 0
1 1 1
2 0 0
2 1 2
1 1 0
2 2 0
2 0 1
10 7
0 2 2
2 0 2
2 0 1
1 1 2
0 2 1
0 1 1
1 1 0
2 1 0
2 2 0
1 1 1
10 6
1 2 1
2 1 1
2 1 2
3 2 0
2 3 2
2 0 1
0 3 0
1 0 2
2 1 0
0 3 3
10 2
0 1 0
3 0 2
1 0 1
1 3 3
2 1 3
3 3 1
0 3 0
3 3 2
0 1 2
3 1 0
10 8
2 1 0
2 1 1
0 0 2
1 0 1
2 0 0
3 0 2
0 2 2
1 1 2
3 0 1
2 2 3
10 5
1 0 2
3 3 2
2 2 1
1 1 1
0 2 1
1 2 0
2 0 2
1 0 1
2 1 2
2 0 3
10 4
2 2 2
0 1 1
1 0 2
2 1 2
1 1 2
1 1 1
1 0 1
1 2 0
2 0 1
0 2 1
10 4
3 2 3
3 1 1
2 2 1
3 1 3
2 1 1
2 2 0
1 0 3
0 2 1
3 3 0
0 3 1
10 2
1 2 3
0 2 0
0 3 1
2 3 1
1 1 2
0 0 1
0 1 0
1 0 2
0 1 3
2 1 1
10 6
2 2 2
1 1 1
2 0 2
0 1 2
0 1 0
1 1 2
2 2 1
2 1 0
0 2 1
1 1 0
10 2
1 0 2
1 1 0
0 0 1
1 1 1
1 0 1
2 1 0
0 1 2
0 2 0
2 2 0
2 0 0
10 9
1 1 2
0 1 2
2 2 0
2 1 0
2 2 1
2 1 1
0 2 0
0 0 2
0 0 1
0 2 2
10 4
3 3 2
1 1 0
2 0 1
0 0 1
3 3 0
3 0 2
3 3 3
0 2 0
2 2 0
2 3 2
10 2
2 0 1
1 2 0
2 1 2
2 2 2
2 2 1
0 2 0
1 0 2
1 1 2
2 0 0
0 0 1
10 5
3 3 1
3 1 2
0 1 0
3 1 0
1 2 2
3 2 1
3 0 2
2 3 1
0 0 1
1 0 0
10 4
2 0 0
2 1 1
0 0 0
0 0 2
0 1 0
2 2 2
2 0 1
0 1 2
2 1 2
2 1 0
10 3
1 0 0
0 0 2
0 2 0
1 1 2
1 0 1
0 1 0
2 1 0
2 0 0
0 0 1
1 2 1
10 9
2 0 0
1 1 0
1 0 2
1 2 2
2 2 2
2 2 1
2 1 1
1 0 0
1 2 0
0 1 0
10 8
0 2 0
2 0 2
1 3 0
3 0 0
1 1 2
0 3 2
1 0 0
1 0 3
1 3 1
2 3 1
10 5
1 0 2
2 0 2
0 1 0
1 2 1
2 1 0
2 2 1
0 0 0
1 1 2
0 1 1
1 1 0
10 3
0 0 1
0 2 2
2 0 1
2 0 0
2 2 1
0 2 1
1 0 0
1 0 2
2 1 2
0 1 0
10 8
0 0 0
0 2 1
2 2 3
1 3 2
3 2 2
1 1 2
3 3 3
2 3 0
1 1 3
0 0 3
10 4
1 3 1
2 2 3
3 0 3
3 0 0
2 0 0
0 1 3
1 0 1
3 1 1
1 2 3
2 2 2
10 2
1 2 0
3 3 2
2 0 3
0 1 3
2 3 0
0 1 0
3 0 3
3 2 0
0 0 3
0 0 2
10 5
1 0 2
0 0 1
2 1 2
1 2 1
1 0 0
0 0 0
0 2 0
1 1 1
2 2 1
0 0 2
10 9
2 2 2
0 0 1
2 1 0
2 0 0
2 0 2
1 2 1
2 0 1
1 1 2
1 1 1
2 2 1
10 9
0 0 1
1 0 2
0 2 0
1 2 2
2 2 0
1 0 1
0 1 0
2 0 0
2 0 2
0 0 0
10 2
0 0 2
0 0 0
2 2 0
0 2 1
1 1 1
2 2 1
0 1 2
1 2 1
2 0 0
2 2 2
10 7
0 1 0
2 2 1
1 2 0
1 1 2
1 0 0
1 0 1
2 1 0
0 2 0
1 1 0
0 0 0
10 7
3 1 3
1 3 0
0 3 2
1 3 1
0 2 2
2 0 1
0 0 0
1 2 3
1 2 0
2 2 2
10 9
0 0 3
3 1 1
3 0 1
1 3 3
1 2 0
2 3 0
2 0 0
2 2 2
0 1 0
3 3 2
10 5
1 1 0
1 2 0
2 0 1
2 1 1
0 2 2
2 2 1
1 1 2
0 2 1
0 1 0
1 0 0
10 3
2 1 2
2 0 1
2 2 3
0 1 1
3 0 3
3 3 1
3 2 3
1 3 1
3 2 1
1 3 2
10 9
2 3 3
0 3 0
0 0 2
1 0 2
3 1 0
2 1 0
3 0 0
0 1 1
2 0 0
3 0 3
10 8
0 0 1
2 2 1
2 1 0
1 0 2
2 0 1
2 1 2
0 1 1
1 1 0
2 1 1
1 2 1
10 4
2 2 1
1 1 2
2 1 2
0 1 2
1 2 0
2 0 0
1 1 1
0 0 1
1 2 2
0 0 2
10 4
1 1 0
1 0 0
0 1 2
0 1 0
2 0 1
2 1 1
1 1 2
0 0 1
1 1 1
2 2 0
10 8
3 0 3
2 2 1
3 2 0
1 2 2
0 0 1
0 2 0
3 1 3
2 3 1
0 2 2
3 0 0
10 6
1 1 2
1 2 0
0 2 1
0 0 0
2 1 1
2 2 0
1 0 1
0 0 2
2 2 2
1 2 1
10 6
2 1 0
1 0 0
2 1 1
1 0 1
2 2 1
2 0 0
1 1 0
1 2 1
0 2 1
0 1 2
10 7
0 3 1
0 0 1
2 0 1
3 0 1
2 3 2
0 2 3
3 1 3
0 0 0
0 1 3
2 2 1
10 9
1 3 1
0 2 1
0 3 3
1 2 0
3 2 3
2 3 1
3 2 1
0 2 3
1 1 1
1 2 2
10 9
1 2 1
1 2 2
0 1 1
2 0 2
2 1 0
1 1 0
2 2 0
2 1 1
2 2 1
2 0 1
10 2
0 2 0
2 0 0
2 1 1
1 2 0
1 2 1
2 2 2
1 0 2
0 0 0
2 0 2
2 2 0
10 8
0 0 1
1 0 2
1 0 1
1 2 0
1 1 1
2 0 1
1 1 0
1 1 2
0 2 0
0 1 0
10 4
2 1 2
2 2 1
0 1 1
1 2 1
1 1 0
1 2 2
0 2 1
2 0 1
0 2 0
2 2 2
10 5
1 2 1
3 0 1
0 3 1
3 1 1
0 1 1
1 2 2
2 2 1
1 0 1
1 0 2
2 0 3
10 8
1 1 1
1 0 2
0 1 1
2 2 1
3 2 3
3 1 0
0 1 2
0 2 1
2 3 2
2 0 3
10 5
3 2 0
2 3 3
0 0 3
2 0 2
1 0 2
0 2 3
2 2 0
2 0 0
1 2 3
2 2 1
10 7
2 1 0
1 1 2
0 1 2
0 0 2
1 0 1
0 2 2
0 1 1
0 0 1
1 2 2
1 2 0
10 9
1 0 0
2 0 1
0 0 0
2 2 0
0 2 2
0 1 1
2 2 1
1 1 2
0 2 0
2 0 0
10 7
3 2 2
3 0 3
3 3 1
0 2 0
1 2 3
0 1 0
1 1 0
0 0 3
1 2 2
3 1 2
10 6
0 0 3
3 1 3
3 1 0
1 2 3
2 3 3
1 3 1
0 0 1
2 0 0
2 3 0
2 2 1
10 3
0 2 3
0 0 1
1 2 0
3 1 2
0 3 0
1 1 1
1 2 2
1 0 0
0 2 1
0 1 2
10 4
3 1 3
2 2 2
0 1 3
1 2 2
1 2 3
3 3 2
0 0 2
0 3 3
2 3 0
3 1 0
10 5
2 3 2
0 0 1
1 3 2
3 0 1
2 1 0
1 3 0
1 0 0
2 0 3
3 3 1
3 0 2
10 4
2 3 3
3 0 2
3 3 3
1 0 2
0 2 2
3 1 1
2 0 0
0 2 1
0 1 3
3 3 1
10 3
2 0 0
2 0 1
1 2 2
0 2 1
2 1 1
1 0 2
2 1 2
1 0 1
2 2 1
0 2 0
10 8
1 2 3
0 1 2
3 1 1
1 1 2
3 1 2
3 0 3
2 3 3
1 2 2
1 3 2
0 0 3
10 4
1 2 1
2 2 0
0 0 1
0 2 2
0 1 0
2 0 2
2 2 1
1 1 2
2 1 0
2 2 2
10 2
1 3 2
2 1 2
1 0 2
1 3 0
0 3 3
1 1 0
2 1 1
2 1 0
3 3 0
1 1 2
10 9
1 2 2
1 1 1
1 0 1
2 0 0
2 1 1
2 2 0
2 0 2
1 1 0
1 0 0
0 2 1
10 6
0 1 3
0 3 0
3 1 2
2 2 0
1 0 0
0 1 0
2 2 2
2 1 0
3 1 0
3 2 3
10 6
0 2 0
2 0 1
1 2 1
2 2 1
2 0 2
0 0 0
0 1 2
2 2 2
0 2 1
1 1 0
10 4
1 0 1
2 0 3
0 2 3
3 0 1
3 2 0
0 3 3
1 1 3
2 1 0
3 1 3
1 2 3
10 6
2 2 0
0 0 0
2 2 1
0 0 1
1 0 0
1 0 2
1 2 0
0 1 0
1 2 1
2 1 1
10 9
2 2 2
0 1 2
2 0 1
2 0 0
1 2 0
1 1 1
1 1 0
1 0 0
2 2 1
0 2 1
10 8
1 3 3
1 2 1
0 3 1
3 2 2
0 2 2
2 3 1
3 1 3
1 1 3
2 0 3
2 2 3
10 8
0 0 0
1 0 2
1 2 1
2 1 2
1 2 0
0 1 0
0 0 1
1 0 0
0 0 2
2 2 0
10 7
0 0 1
2 1 1
0 1 1
0 2 0
0 0 2
2 2 2
2 2 0
0 2 2
1 0 2
1 0 0
10 5
3 3 2
3 0 3
1 0 0
1 1 3
3 2 2
3 3 0
0 2 2
0 3 0
1 2 3
2 2 0
10 3
2 0 2
0 0 1
0 1 1
1 0 0
0 2 1
1 0 1
1 0 2
1 2 0
1 1 1
0 2 0
10 6
0 1 2
1 3 0
3 3 1
3 3 2
1 0 3
2 2 0
0 1 3
2 2 1
0 3 2
2 3 1
10 2
1 2 3
1 1 2
1 1 1
2 1 3
0 1 2
3 2 0
2 0 0
0 1 0
0 0 2
1 0 2
10 5
0 2 1
0 0 1
1 2 0
2 3 0
0 2 2
0 3 3
3 2 3
2 3 3
2 3 1
1 3 2
10 4
0 1 2
0 2 1
0 1 0
2 2 1
1 0 2
1 2 0
0 0 0
0 2 2
1 1 1
2 0 0
10 9
2 2 3
3 2 2
2 1 3
2 1 2
0 2 1
3 0 1
0 0 0
2 3 0
3 3 3
1 1 2
10 5
3 3 1
1 1 1
0 2 1
0 1 2
3 1 0
3 2 1
2 0 3
0 0 0
1 0 2
3 2 3
10 6
2 1 2
3 1 3
0 0 0
1 2 0
3 0 0
1 3 3
0 2 0
2 3 2
3 2 1
1 0 2
10 4
2 2 1
0 2 0
0 1 2
1 2 1
2 1 2
0 0 2
2 0 0
1 0 0
0 2 2
1 2 2
10 2
0 0 3
3 1 3
0 1 2
1 2 3
3 0 1
2 2 0
2 0 2
1 1 1
0 0 0
2 0 3
10 2
2 1 1
2 2 1
2 0 0
0 1 2
0 2 0
1 1 2
0 2 1
2 0 2
2 2 2
1 0 0
10 8
2 2 1
0 1 0
0 3 2
0 2 0
0 2 1
2 0 0
1 1 0
1 1 2
1 3 3
2 1 3
10 9
1 0 1
2 1 2
0 2 2
0 1 1
0 0 2
1 1 1
2 0 1
1 0 2
2 1 0
1 1 0
10 6
0 2 1
0 0 2
0 2 2
1 2 2
1 1 0
1 0 2
1 0 1
2 2 0
0 1 0
0 0 0
10 3
0 3 3
2 2 3
3 1 2
0 1 2
2 1 1
3 3 2
0 3 0
2 2 0
2 1 3
0 0 2
10 8
0 2 2
0 0 1
1 0 1
0 2 1
2 0 2
1 0 0
1 1 0
2 2 2
2 2 1
1 1 2
10 3
0 3 2
0 2 0
3 1 3
2 1 3
3 3 0
1 1 2
3 0 1
1 3 2
1 1 0
3 3 3
10 5
1 0 1
1 0 2
1 1 1
2 0 2
0 0 2
0 0 1
0 2 1
1 2 2
0 1 2
1 1 0
10 6
1 1 3
1 3 2
0 3 0
2 0 1
2 2 1
1 0 2
0 0 2
2 1 2
3 3 3
2 3 1
10 9
0 0 1
3 3 2
2 1 3
0 1 2
2 2 2
0 2 3
2 2 3
2 3 1
0 0 2
1 3 0
10 4
0 2 1
1 0 2
0 1 1
1 2 2
2 1 0
2 0 1
1 1 2
1 2 1
1 0 0
0 0 2
10 7
1 3 0
3 0 0
2 3 1
0 2 2
2 0 3
2 3 3
0 3 0
0 1 0
2 0 0
3 0 1
10 3
0 2 1
2 0 1
0 3 0
3 0 1
2 3 1
0 0 1
3 3 2
0 1 2
1 3 2
3 1 1
10 9
1 1 0
0 0 3
2 3 0
3 0 3
2 0 0
2 2 2
0 2 1
2 3 2
3 3 1
1 3 1
10 7
0 3 1
1 0 2
3 3 2
0 3 2
3 0 2
2 0 0
2 3 3
2 3 1
1 3 1
2 2 2
10 6
1 0 2
0 2 2
0 2 1
1 0 1
0 0 1
2 0 2
2 2 0
0 1 1
2 1 0
1 2 0
10 5
3 3 2
2 3 1
3 2 3
1 3 2
0 2 1
2 1 3
2 0 0
3 1 0
3 3 1
3 1 3
10 9
1 2 2
0 1 1
2 2 1
2 3 1
3 2 3
3 0 1
1 1 3
0 0 0
2 3 3
1 0 1
10 9
1 2 1
0 0 1
2 2 1
2 2 0
0 2 0
1 0 0
0 1 1
0 1 0
2 1 2
2 0 2
10 8
0 2 2
2 0 1
0 0 2
1 1 2
0 0 0
1 0 2
0 2 1
2 1 2
1 1 0
1 2 0
10 5
2 1 2
2 1 1
1 1 2
1 3 3
3 3 1
1 2 2
3 1 3
0 0 1
2 1 3
3 2 2
10 8
2 0 0
0 1 0
1 1 1
1 0 1
1 1 0
0 1 2
1 2 0
2 2 1
2 1 0
2 0 2
10 7
1 0 2
2 2 0
3 1 0
1 1 1
2 2 3
2 0 2
0 0 1
1 2 1
3 0 3
3 2 2
10 8
0 0 2
0 0 1
1 1 2
0 1 1
1 1 1
0 2 0
0 1 2
0 0 0
1 2 0
0 2 2
10 7
1 0 0
0 2 1
2 0 1
2 0 2
1 0 2
1 2 1
0 2 2
1 1 2
0 0 2
0 1 2
10 9
2 1 1
1 3 1
1 0 1
3 1 0
3 0 3
2 2 0
2 1 0
2 2 1
0 0 3
0 2 3
10 8
2 2 0
1 2 0
1 2 1
0 2 0
0 0 0
2 1 1
2 1 2
1 0 1
2 0 0
0 2 1
10 6
2 2 1
2 3 3
1 0 3
1 3 3
0 3 2
2 2 3
2 1 0
0 0 1
3 0 1
0 0 0
10 2
1 0 1
0 2 2
0 1 1
1 0 2
2 2 0
0 2 1
1 2 2
2 2 1
2 0 1
1 2 1
10 7
1 0 1
1 3 3
1 2 3
2 0 0
3 1 1
2 3 2
3 3 1
2 0 2
0 0 1
2 1 3
10 4
1 3 3
3 0 1
1 3 2
2 2 0
0 1 0
0 2 1
2 2 3
3 3 1
3 1 3
3 0 0
10 4
1 0 2
1 1 0
1 1 1
2 3 0
3 2 2
2 3 3
1 0 3
0 1 1
0 1 3
3 1 0
10 4
0 0 1
3 0 3
2 3 0
3 2 3
1 2 1
0 3 1
0 0 3
1 0 3
0 0 2
2 2 3
10 6
1 2 2
1 0 2
1 0 0
0 1 0
2 1 0
1 1 2
0 2 0
2 0 2
0 2 1
0 2 2
10 9
0 2 2
0 1 1
0 1 0
1 1 2
2 2 0
2 0 0
0 0 1
0 0 0
0 0 2
2 0 2
10 8
3 1 0
1 0 0
0 0 0
2 1 3
0 0 1
0 1 0
3 3 3
2 1 1
0 3 3
1 0 1
10 3
1 1 1
0 1 2
2 1 2
2 2 0
2 2 1
0 2 0
0 0 0
1 1 2
2 0 1
2 0 2
10 7
2 2 2
0 1 0
0 0 1
0 1 1
2 0 1
0 2 1
2 1 1
2 1 2
1 2 2
1 1 1
10 9
2 0 0
1 2 1
1 2 0
1 0 1
2 0 2
1 1 2
3 0 2
0 2 2
2 0 1
3 3 2
10 9
0 1 0
2 2 0
1 2 0
0 1 1
0 2 0
0 0 1
1 0 2
2 0 2
1 1 2
0 0 2
10 3
2 1 2
1 1 0
0 0 3
3 1 0
2 2 0
0 0 2
2 1 0
2 0 3
0 1 1
3 2 2
10 8
2 1 2
2 1 0
1 2 2
2 2 1
1 1 2
0 2 1
0 1 0
1 0 0
1 2 1
2 2 2
10 4
0 0 0
2 0 2
0 0 2
1 0 2
1 1 1
2 0 1
2 1 1
1 2 2
0 0 1
0 2 2
10 8
2 0 1
0 2 0
0 2 1
0 0 1
1 0 2
1 1 2
2 0 0
1 2 1
2 2 1
1 0 1
10 4
2 1 1
1 2 2
1 1 0
0 0 1
2 0 0
1 2 0
1 1 2
0 1 1
0 0 2
1 0 0
10 9
2 2 1
2 1 0
2 1 2
1 0 2
2 0 2
0 1 1
2 2 0
1 2 0
2 0 0
2 2 2
10 3
2 2 2
2 0 2
0 1 0
0 0 2
1 2 1
0 0 0
1 2 2
2 0 0
2 1 2
0 1 2
10 3
1 1 0
1 0 0
2 2 1
2 1 1
0 2 1
2 0 1
1 2 0
0 2 0
1 0 2
2 1 2
10 5
0 1 0
2 2 2
3 3 1
2 1 1
3 3 0
0 2 2
1 0 0
3 1 1
1 3 2
0 2 1
10 9
0 1 1
3 0 0
1 3 2
3 0 3
1 0 1
2 0 1
0 1 2
3 1 2
2 3 2
0 0 1
10 3
3 1 0
2 0 2
1 2 2
1 1 1
1 0 2
0 2 1
3 0 1
2 2 3
2 1 0
3 3 1
10 2
2 2 1
2 2 0
1 2 2
1 1 1
2 1 2
1 2 0
0 2 2
1 2 1
1 1 0
2 0 0
10 2
3 1 2
2 1 1
0 1 1
2 0 3
0 1 3
0 1 2
2 0 0
2 3 3
1 0 3
2 3 1
10 2
0 0 3
3 1 1
3 2 1
1 2 2
0 2 2
2 0 2
1 0 3
3 1 2
0 2 0
3 1 0
10 5
0 1 0
0 2 2
3 2 0
2 3 2
0 2 1
3 1 2
3 3 0
2 1 2
3 2 3
1 1 0
10 8
2 0 2
3 1 2
0 2 2
0 0 0
1 1 1
1 3 2
3 3 3
3 1 0
3 0 2
0 1 0
10 7
2 2 0
2 0 0
2 2 1
2 2 2
0 1 1
2 0 1
1 2 1
1 0 0
2 1 1
1 2 0
10 6
3 2 2
2 3 0
2 3 1
0 2 1
1 1 3
2 0 2
0 3 1
1 2 3
2 3 2
2 3 3
10 9
1 1 2
1 1 1
0 0 0
0 2 2
2 2 1
1 2 0
0 1 2
1 0 1
1 2 1
0 2 0
10 4
2 3 1
1 1 1
1 1 0
2 3 2
3 1 0
1 3 1
1 1 3
0 2 1
1 0 0
2 2 3
10 8
0 2 0
3 1 2
2 1 0
3 2 3
3 1 0
0 1 1
0 3 0
3 2 2
0 1 2
2 2 0
10 4
1 2 2
1 0 0
1 3 3
2 3 0
2 3 3
0 3 0
1 2 3
2 2 3
2 0 3
0 0 2
10 9
1 2 2
0 2 1
1 0 1
0 0 0
0 1 2
0 0 1
1 2 1
1 0 0
1 1 0
2 0 0
10 2
2 0 3
1 3 1
1 1 2
3 0 0
2 1 3
0 0 1
2 3 2
2 0 1
3 3 0
3 0 3
10 6
0 2 3
3 1 0
0 0 0
2 1 1
1 2 0
2 2 2
2 2 3
3 3 3
2 3 0
2 0 2
10 7
3 2 3
3 0 1
1 3 3
1 0 0
3 3 0
0 0 0
1 0 1
0 1 0
2 2 2
2 0 1
10 4
2 0 2
1 2 1
0 0 1
1 2 0
2 2 0
0 1 1
1 1 1
1 1 0
1 1 2
2 0 0
10 7
1 2 2
2 0 1
2 2 0
2 2 2
0 1 0
2 2 1
1 0 0
1 0 1
0 1 2
1 1 1
10 7
0 3 1
2 3 1
0 2 1
1 1 3
2 1 0
3 3 3
2 0 2
1 2 1
0 2 3
2 3 2
10 4
0 1 1
1 0 1
0 0 1
0 1 3
1 3 1
3 1 0
2 3 1
0 2 1
2 2 0
2 0 1
10 9
0 2 2
0 2 0
0 0 0
1 2 1
0 1 2
0 1 0
0 0 1
2 0 2
2 1 1
0 1 1
10 7
0 0 2
0 0 0
0 2 2
0 1 1
2 2 0
0 1 0
1 0 2
1 2 0
0 2 0
1 2 2
10 9
0 1 0
1 0 2
2 2 2
2 2 1
2 1 2
2 0 2
1 1 0
2 0 0
0 1 2
0 0 1
10 6
0 1 1
0 0 1
2 0 2
1 1 1
2 3 2
3 3 0
1 0 0
1 3 1
2 2 3
2 1 1
10 5
1 0 0
1 1 1
1 0 1
0 2 0
2 0 1
2 1 0
2 0 0
2 0 2
2 1 2
0 1 2
10 8
1 2 1
0 2 1
0 0 0
3 0 3
1 1 0
0 1 2
1 3 2
1 2 0
3 2 0
2 3 3
10 4
2 0 1
0 0 0
0 0 1
2 2 2
1 1 2
1 2 2
1 0 1
2 1 0
0 2 2
2 2 0
10 2
2 2 1
1 0 3
0 2 3
1 3 2
0 2 2
3 3 1
1 3 3
3 0 2
0 3 2
1 1 3
10 3
2 0 1
2 2 1
0 1 0
0 1 1
1 0 2
1 2 1
1 1 0
1 1 1
1 2 2
0 0 0
10 2
2 0 2
1 2 2
1 1 0
1 0 0
1 1 1
0 2 2
0 1 1
0 1 0
0 2 0
0 1 2
10 5
2 2 0
0 1 1
1 0 1
1 1 1
2 1 0
2 0 3
1 2 1
3 3 1
1 1 2
2 0 0
10 7
2 2 1
0 2 2
2 0 1
1 1 2
2 1 2
2 1 1
1 2 2
2 0 0
1 1 0
0 1 1
10 7
1 0 0
0 0 0
0 2 2
1 2 2
1 0 2
2 1 0
2 0 2
0 1 0
2 1 2
2 1 1
10 4
1 1 2
1 0 1
1 2 2
0 1 1
2 1 2
0 1 2
1 1 1
2 0 1
0 0 1
2 0 2
10 4
1 2 0
0 1 1
1 0 2
0 2 0
1 0 1
2 2 2
2 0 0
1 1 2
1 2 2
1 1 0
10 6
0 3 1
3 2 1
2 2 1
2 0 1
0 0 1
0 0 2
0 2 3
1 3 1
0 0 0
3 3 0
10 4
0 0 2
2 0 1
2 2 1
0 1 0
0 2 0
1 0 0
2 0 0
2 0 2
1 2 2
1 2 0
10 3
2 1 2
1 3 0
0 1 2
3 3 1
2 2 3
2 0 1
2 2 0
0 1 3
0 0 0
0 0 2
10 7
2 2 2
0 1 2
2 1 2
0 2 0
2 2 0
1 2 2
0 1 0
1 2 0
1 1 2
0 0 0
10 2
1 2 2
2 1 0
0 0 0
0 2 2
0 2 0
1 0 0
1 0 2
2 1 1
1 1 1
0 0 1
10 8
1 1 0
3 3 3
2 3 1
3 2 0
3 1 3
3 0 1
0 3 2
2 0 1
1 0 0
1 0 2
10 2
3 0 0
0 0 2
0 1 0
2 1 3
1 2 1
2 1 1
0 2 0
1 0 2
3 2 3
1 2 0
10 7
2 0 3
3 1 0
0 3 2
2 0 1
2 1 3
1 3 1
2 2 2
2 0 2
0 0 3
3 1 3
10 9
0 1 3
0 2 1
1 2 0
3 2 2
1 1 2
0 0 2
0 0 1
3 1 1
0 3 0
2 0 3
10 9
2 0 3
0 3 0
0 1 3
1 2 3
1 1 2
3 2 2
0 2 0
1 3 1
3 2 0
1 1 3
10 6
2 1 2
0 1 2
3 2 2
3 0 3
3 1 0
0 0 2
1 2 0
2 2 2
0 0 0
1 1 2
10 3
1 0 1
1 3 3
3 2 1
2 0 0
3 2 0
0 3 0
2 2 3
3 0 0
3 0 1
2 3 3
10 6
0 1 2
0 0 2
1 2 2
0 1 0
1 0 1
0 0 0
1 1 2
0 2 1
2 0 1
1 0 2
10 6
2 1 2
0 1 0
0 0 2
0 2 0
2 2 2
1 2 1
1 2 2
0 0 0
2 0 2
1 1 2
10 5
0 0 0
0 1 1
2 0 2
0 0 1
2 2 1
2 2 0
0 2 2
1 1 2
1 0 2
0 0 2
10 2
1 2 2
0 1 1
1 1 0
1 1 2
1 1 1
1 0 0
2 0 2
0 1 2
0 0 0
2 2 1
10 7
2 2 3
2 2 1
2 1 2
0 0 1
3 2 0
2 1 0
1 3 1
0 2 1
3 1 1
2 0 0
10 4
0 1 3
0 2 1
1 1 3
3 2 0
3 3 1
3 3 3
2 0 1
3 0 0
1 3 3
0 2 0
10 8
0 2 1
2 0 0
0 1 0
1 0 0
0 0 0
1 2 1
1 1 2
2 1 1
1 2 2
0 2 2
10 4
0 0 1
2 1 1
1 0 2
2 0 2
3 3 3
2 0 3
2 2 3
2 1 0
3 0 1
0 1 2
10 6
0 1 0
0 1 2
0 2 1
2 2 0
1 1 2
0 0 2
2 1 1
2 0 1
1 1 0
1 0 0
10 2
0 2 1
0 0 1
1 2 0
1 0 2
1 1 0
0 1 2
2 2 1
0 1 0
2 0 2
0 0 0
10 7
1 2 1
1 1 2
0 2 1
2 0 0
2 0 2
1 1 1
1 0 2
1 1 0
1 0 1
2 1 1
10 8
0 1 1
2 1 0
1 1 1
1 1 0
1 1 2
1 2 2
0 0 0
2 2 2
0 1 2
1 0 2
10 9
0 3 1
1 3 1
1 0 3
2 3 0
3 0 2
2 2 1
1 3 0
3 1 1
2 1 0
2 2 2
10 4
1 3 2
3 0 3
1 1 0
0 2 1
2 0 3
3 3 1
3 1 0
3 0 2
1 2 3
2 2 3
10 3
2 1 0
2 0 2
2 0 1
1 1 2
1 1 0
2 1 1
0 1 2
1 2 0
1 0 1
0 1 0
10 5
2 2 0
0 2 3
1 3 2
2 0 2
3 3 3
3 0 1
0 3 2
1 0 1
3 0 2
1 2 2
10 6
3 2 1
2 3 1
0 1 0
3 0 3
1 2 0
2 2 0
2 1 3
2 0 0
1 2 2
0 0 3
10 2
3 1 1
0 2 1
2 3 0
2 3 3
3 1 2
0 0 3
3 3 1
3 1 3
3 2 2
3 3 0
10 9
0 0 0
1 2 0
2 1 2
3 1 1
1 1 1
3 0 0
0 0 3
1 2 3
2 3 1
3 3 0
10 9
0 1 2
1 0 0
0 1 1
0 2 1
2 2 0
2 1 2
1 2 0
2 0 0
0 0 1
2 0 1
10 7
2 1 1
0 2 0
0 0 2
1 0 1
2 2 2
2 0 0
1 0 0
1 0 2
0 1 2
2 2 0
10 9
0 0 0
0 2 1
2 1 1
0 1 0
1 2 2
0 3 2
0 2 2
1 2 1
2 2 1
3 1 2
10 6
2 2 2
0 1 0
0 1 2
2 1 0
1 1 0
0 2 1
1 2 0
2 2 0
1 0 2
1 1 2
10 2
2 0 0
2 2 1
0 2 1
1 0 1
1 1 0
1 1 2
1 2 1
0 0 2
2 1 0
2 0 1
10 4
0 1 2
2 0 0
2 1 2
1 2 0
0 2 1
2 2 2
1 1 0
0 0 1
1 0 0
0 0 0
10 6
0 1 0
0 1 2
1 1 2
1 0 2
0 0 2
1 1 0
0 1 1
1 1 1
1 0 1
2 0 2
10 2
1 0 0
2 2 1
0 2 1
2 1 0
0 2 2
1 1 0
0 1 2
2 2 2
0 1 1
0 0 2
10 2
2 2 2
2 2 0
0 1 1
0 2 1
2 0 1
1 2 0
1 0 1
1 1 0
2 0 0
0 1 2
10 2
3 3 1
2 3 0
1 2 2
3 1 0
0 2 1
1 3 0
3 0 0
3 2 2
1 0 0
2 2 3
10 2
2 0 0
1 2 2
0 1 2
1 1 2
1 0 2
1 1 0
0 2 1
2 1 2
2 0 2
1 0 0
10 8
3 1 2
2 3 1
0 3 0
0 1 0
1 2 3
3 2 3
0 3 1
3 2 1
2 3 2
3 1 0
10 9
2 0 1
0 2 2
0 0 2
1 2 0
0 0 0
1 0 1
0 2 1
0 2 0
1 2 2
2 1 1
10 4
0 1 2
0 1 1
2 2 0
0 0 0
2 2 2
1 0 1
1 2 1
0 0 1
1 0 2
2 0 0
10 2
1 1 2
1 2 2
2 2 2
1 2 1
0 1 2
2 1 2
2 0 0
2 2 1
0 2 2
1 0 1
10 9
0 1 0
1 2 1
0 2 2
2 2 2
0 0 2
0 0 1
1 1 2
1 0 1
0 2 1
0 0 0
10 4
0 1 2
0 1 0
2 2 1
1 2 1
2 2 0
2 1 0
0 1 1
1 0 2
1 0 0
0 0 2
10 4
2 0 0
1 2 0
1 0 0
1 1 0
0 2 2
2 2 1
2 0 1
1 1 1
1 0 1
1 2 1
10 2
1 2 2
0 1 0
0 1 2
3 2 3
3 3 2
3 0 2
1 0 3
2 2 0
2 3 1
2 1 0
10 6
2 2 0
2 1 1
0 1 2
0 2 2
1 1 0
1 1 2
1 2 2
0 2 1
1 2 1
2 1 2
10 6
0 2 1
0 0 2
1 2 0
0 1 2
0 0 0
1 1 0
2 2 1
1 0 1
1 1 2
1 0 0
10 8
0 2 0
1 1 2
2 2 0
2 0 1
0 1 2
1 2 1
2 1 0
1 1 1
2 1 2
0 0 2
10 5
2 2 2
1 0 1
1 1 2
2 1 0
1 1 0
1 0 2
0 0 1
0 0 2
0 2 1
1 2 1
10 5
2 0 1
2 2 1
2 1 0
1 1 1
1 1 0
1 0 0
2 0 2
1 0 1
1 1 2
2 0 0
10 9
1 2 2
0 2 1
1 0 0
2 2 2
2 0 0
2 0 1
0 0 1
2 1 0
0 1 1
2 1 1
10 6
1 1 2
0 2 2
0 2 0
1 0 1
0 0 0
2 2 2
2 2 1
2 2 0
1 1 1
0 0 1
10 9
0 0 1
1 1 1
0 1 1
2 2 1
2 0 1
1 1 0
2 1 0
2 1 2
1 2 0
2 0 2
10 9
0 1 0
1 3 2
2 0 1
1 1 2
0 0 1
2 0 2
0 3 2
0 0 3
3 3 3
2 2 1
10 2
1 2 2
0 0 2
1 0 0
1 1 1
0 1 0
2 1 0
1 1 0
0 2 1
1 0 1
0 1 2
10 3
2 1 1
1 0 1
1 1 0
0 2 2
0 2 1
0 1 0
1 2 0
1 2 1
2 2 1
0 2 0
10 2
0 2 0
2 2 1
2 1 2
2 2 0
2 1 0
0 2 2
0 1 2
0 1 1
1 1 0
2 0 1
10 5
1 0 1
1 1 1
1 1 2
1 2 2
1 0 0
0 0 2
2 0 0
2 1 1
0 1 2
2 2 1
10 5
2 1 1
3 3 0
3 3 3
0 2 3
0 1 2
0 3 0
3 2 0
1 3 1
0 0 1
0 1 0
10 9
0 0 1
1 1 2
2 1 0
1 0 2
0 2 0
1 0 1
2 1 1
1 0 0
1 2 1
0 0 2
10 6
2 1 3
0 3 2
0 2 1
0 0 0
3 3 1
3 2 0
1 0 1
1 2 2
0 2 3
0 1 2
10 9
0 3 2
3 3 1
1 0 2
1 1 1
3 0 1
3 0 3
0 2 3
2 2 2
1 2 1
0 2 0
10 6
1 0 2
1 1 1
1 0 0
0 0 0
0 0 2
0 2 1
0 2 2
2 2 1
1 1 2
1 0 1
10 7
1 2 0
0 1 2
2 2 3
0 0 0
2 2 1
1 0 0
0 3 2
2 1 1
1 1 1
3 2 3
10 9
1 2 0
0 0 2
2 0 0
0 1 1
2 1 0
1 2 1
0 0 1
2 2 2
1 1 0
0 2 1
10 4
1 2 2
0 0 0
1 2 0
1 0 1
2 1 0
1 1 2
0 1 0
2 1 1
2 1 2
0 1 2
10 2
0 2 0
0 1 1
2 1 2
0 2 2
2 0 0
2 2 2
2 1 1
1 1 0
2 1 0
1 2 2
10 7
2 0 0
0 2 1
2 2 0
2 2 1
0 0 0
2 2 2
0 2 2
0 0 1
1 1 1
1 2 1
10 2
2 2 1
2 3 0
1 3 3
0 0 3
2 3 1
1 3 1
1 0 2
1 2 1
2 1 3
1 2 3
10 2
0 0 0
2 1 2
1 2 2
2 0 0
0 2 0
0 1 0
1 2 0
0 0 2
2 1 0
1 0 2
10 8
3 3 2
1 3 3
1 1 0
0 1 0
2 3 1
2 1 1
3 2 0
3 0 0
2 0 1
2 0 0
10 2
0 0 3
0 2 3
3 2 0
2 3 0
2 3 1
1 3 1
0 2 1
0 1 2
1 2 1
0 2 2
10 2
1 1 1
2 2 1
0 0 2
2 1 0
0 2 1
1 2 0
0 2 0
1 0 2
0 1 2
2 2 2
10 6
3 2 3
3 2 1
3 3 3
2 0 0
0 1 2
2 2 3
1 0 1
0 2 2
2 3 3
1 3 2
10 4
0 0 0
1 2 1
0 2 1
2 0 0
1 1 0
2 2 1
1 1 2
1 2 0
2 2 2
0 0 2
10 4
0 0 1
0 0 0
1 1 2
0 2 1
1 0 0
2 2 1
2 1 1
2 0 2
2 2 0
0 2 0
10 6
1 0 0
0 3 3
0 0 3
1 2 0
0 0 0
2 3 1
2 3 0
1 0 2
3 2 3
0 3 1
10 4
3 2 0
0 3 3
0 0 3
3 0 0
2 2 0
2 1 1
0 2 0
1 2 3
0 0 1
2 3 2
10 4
1 3 3
2 1 3
1 1 2
2 2 0
1 1 0
2 0 3
0 0 2
2 3 3
0 1 2
2 1 2
10 2
0 0 3
2 1 3
3 3 2
1 3 3
2 0 0
0 3 3
2 2 1
3 2 1
1 3 2
3 0 0
10 7
1 1 0
1 0 2
0 0 0
2 2 1
2 1 0
2 1 2
1 2 2
2 2 2
1 2 0
1 1 1
10 9
0 1 1
2 2 0
0 0 2
2 2 2
0 0 1
2 1 2
2 1 0
1 0 2
2 1 1
1 1 2
10 3
2 0 3
1 0 0
0 3 0
1 1 1
0 0 2
1 3 1
3 3 0
1 0 2
1 2 2
2 1 1
10 6
0 0 2
1 2 1
2 1 2
0 2 1
2 2 0
2 0 2
2 2 2
2 2 1
1 0 1
2 1 0
10 7
1 1 1
0 1 1
0 2 2
2 2 2
2 1 0
2 2 0
1 0 1
0 0 0
2 1 1
0 1 2
10 6
2 3 1
2 3 0
3 2 3
0 2 3
3 2 1
2 3 3
1 3 1
1 2 3
1 3 2
3 2 2
10 8
2 2 2
3 2 3
2 2 1
0 2 3
3 2 2
3 3 0
1 1 3
3 1 2
2 1 0
1 3 1
10 6
1 0 2
1 2 0
0 2 2
2 0 1
2 1 0
1 2 1
2 2 1
1 1 2
0 1 2
0 2 0
10 3
2 2 0
3 1 2
2 3 3
0 2 2
1 3 1
0 0 1
0 3 0
2 0 2
1 0 2
1 1 2
10 6
2 3 2
2 1 3
0 2 2
1 2 1
1 1 0
1 2 2
2 2 2
2 3 0
3 3 1
0 1 1
10 3
1 1 1
1 0 1
2 1 2
1 1 2
2 0 0
2 2 0
2 0 2
1 0 0
0 2 2
2 2 1
10 6
0 1 0
0 2 0
0 0 1
2 2 1
1 0 1
1 2 1
2 0 2
0 1 2
2 1 0
2 0 0
10 8
3 3 2
3 0 2
0 0 3
2 0 1
3 0 3
1 0 1
2 3 2
2 2 0
3 1 1
0 1 1
10 3
0 2 1
1 1 1
0 2 2
2 1 0
2 1 1
2 0 1
0 1 2
1 0 1
1 0 2
2 2 0
10 8
1 0 0
0 1 0
0 2 2
2 2 1
2 0 1
2 1 1
2 1 2
2 0 2
2 1 0
0 1 1
10 4
1 1 1
2 1 0
1 0 1
0 1 1
1 1 2
1 2 2
1 1 0
2 2 1
1 2 0
0 0 0
10 4
2 0 0
1 2 0
2 2 1
0 0 0
0 2 0
1 1 1
0 1 2
0 0 2
2 2 2
2 0 1
10 3
0 1 0
2 0 2
0 0 1
1 0 1
1 0 2
2 1 0
1 1 2
0 2 2
2 0 1
0 1 1
10 2
0 1 0
3 0 1
3 1 1
0 1 1
2 0 1
3 2 1
0 3 1
3 3 3
3 0 3
2 0 3
10 4
1 2 0
1 2 1
0 0 0
0 2 0
1 2 2
2 1 1
0 1 2
0 2 1
2 1 2
2 0 2
10 7
1 2 0
1 1 1
2 2 1
2 0 0
2 2 2
0 0 2
1 0 2
0 2 1
2 1 2
0 2 0
10 8
2 1 2
2 0 1
1 0 0
0 1 1
1 2 2
0 0 1
1 1 1
0 1 2
2 2 1
1 2 0
10 8
1 2 2
1 0 1
1 0 0
0 0 2
2 1 0
1 2 0
2 0 1
0 2 2
0 1 1
1 1 0
10 5
0 1 0
0 1 2
2 1 2
2 2 0
0 0 1
1 0 0
0 2 2
2 0 1
2 2 2
1 1 2
10 6
0 0 0
1 3 1
2 0 1
0 3 0
2 2 2
3 3 3
3 2 2
1 1 2
2 2 3
2 2 0
10 5
2 0 2
1 2 2
0 1 0
1 0 1
0 2 1
0 1 2
2 1 1
0 0 0
1 2 0
1 1 2
10 3
0 0 0
0 0 2
1 2 0
1 1 1
0 1 1
2 2 2
2 1 1
2 0 1
2 0 0
0 0 1
10 6
1 3 1
3 2 3
3 2 0
2 2 2
0 2 3
3 2 1
1 1 0
2 1 2
3 3 1
1 2 2
10 9
1 3 1
3 0 2
2 0 0
2 2 1
1 3 0
0 3 3
0 2 3
3 3 1
3 1 2
0 1 3
10 6
0 1 2
1 2 1
3 1 1
3 2 2
1 0 2
2 0 3
1 1 1
0 3 2
0 1 0
2 2 3
10 5
3 0 2
2 3 0
3 2 3
2 1 1
3 0 1
2 1 2
1 2 2
3 3 3
0 2 1
1 3 1
10 2
2 3 2
2 1 0
1 0 0
1 0 3
1 1 1
2 0 2
3 1 0
2 0 1
0 0 1
1 2 2
10 7
2 2 2
1 2 0
1 0 2
0 1 0
2 1 0
0 2 0
0 0 1
1 1 1
1 0 0
2 1 2
10 6
0 1 3
1 2 3
1 1 2
1 3 1
3 3 0
2 0 2
0 0 2
2 3 1
3 3 1
1 1 3
10 5
0 1 2
0 0 0
2 1 0
2 0 1
0 2 2
1 2 0
1 0 1
2 0 0
2 0 2
0 2 0
10 8
2 0 2
2 2 2
2 1 0
1 1 1
2 2 1
1 0 2
0 1 1
0 0 1
0 0 2
0 1 0
10 8
1 2 2
1 0 0
1 3 1
3 3 2
3 2 2
2 3 2
1 0 1
0 0 0
2 1 0
0 3 2
10 4
2 0 1
1 2 0
2 2 2
0 2 0
2 1 2
0 1 2
2 1 0
1 1 0
1 2 2
2 2 0
10 9
2 2 2
0 0 2
0 2 2
0 0 1
1 0 0
2 2 1
2 0 0
2 0 1
0 1 2
0 1 1
10 5
1 2 1
0 0 2
2 2 0
2 0 0
2 1 0
1 2 2
2 2 1
0 1 0
1 1 1
2 0 1
10 3
3 3 0
1 2 3
1 2 1
1 3 3
0 2 1
0 1 0
2 1 3
1 1 2
1 2 0
3 0 2
10 7
3 0 3
1 1 3
3 3 0
1 2 2
3 0 2
0 0 1
3 3 3
3 2 0
1 1 0
2 0 3
10 2
3 0 3
0 2 3
1 0 3
1 1 1
0 3 1
2 3 0
0 1 0
3 2 1
2 2 3
2 3 1
10 6
2 0 3
2 1 2
0 0 0
2 0 2
2 3 0
0 0 1
0 1 3
3 1 1
0 3 3
2 2 3
10 3
2 1 0
0 1 1
0 0 0
0 0 1
1 0 2
0 1 2
1 0 1
1 2 0
1 2 1
1 2 2
10 9
0 0 2
2 0 2
1 0 2
1 1 0
2 1 1
0 2 2
1 2 2
0 2 1
1 2 0
2 0 0
10 6
1 0 2
1 0 1
1 1 2
2 1 2
0 2 1
0 0 2
1 1 1
0 1 2
1 2 1
2 1 0
10 2
2 3 2
1 2 3
3 3 3
0 3 2
1 3 3
1 3 0
2 0 0
1 0 1
2 3 3
1 0 0
10 6
1 0 0
2 3 0
3 0 1
3 3 1
2 3 1
2 2 3
0 1 2
0 3 1
2 0 1
1 1 2
10 6
2 3 3
0 0 2
3 2 0
0 1 3
0 3 3
1 2 0
1 0 0
2 1 3
0 3 0
3 2 3
10 3
3 1 0
1 3 0
0 2 2
0 2 1
1 1 3
2 2 2
0 2 3
2 1 2
1 3 3
2 2 3
10 9
3 2 0
2 0 0
3 0 1
0 3 0
1 2 0
1 3 1
3 1 2
1 3 3
3 0 0
0 2 1
10 6
1 3 0
0 2 3
2 0 0
2 1 2
1 0 3
2 3 3
2 2 3
2 2 2
1 1 2
3 1 2
10 4
3 1 1
1 1 3
1 3 1
1 2 1
2 0 3
1 1 1
1 3 3
0 0 1
2 2 3
3 0 3
10 2
0 1 1
0 0 2
1 2 2
1 0 1
2 2 1
0 0 0
2 1 1
0 2 2
0 2 0
2 1 2
10 9
1 2 1
3 1 3
2 2 1
0 2 2
0 3 0
2 0 2
1 1 0
0 3 2
1 0 1
3 0 1
10 7
1 2 3
0 0 3
1 3 1
3 1 1
2 1 1
2 2 3
0 2 1
3 0 2
2 2 2
2 3 2
10 6
1 0 0
0 1 2
1 0 1
0 0 2
1 1 0
2 1 0
1 2 2
2 2 1
2 0 0
0 2 2
10 4
3 1 3
3 2 3
1 2 3
1 1 3
3 2 0
2 2 3
2 2 1
2 2 2
3 0 2
3 2 2
10 7
2 0 2
1 1 0
0 0 2
0 2 0
0 0 0
0 2 2
0 0 1
2 1 2
0 1 1
1 0 0
10 2
2 1 0
1 1 1
0 1 0
0 2 0
1 0 1
1 0 2
2 0 0
1 0 0
2 2 0
1 2 1
10 8
0 0 2
0 2 0
2 2 1
0 0 0
1 0 2
2 2 2
2 2 0
1 1 1
2 1 1
0 2 2
10 2
2 0 1
2 2 0
2 1 1
0 2 2
1 1 2
0 2 0
0 1 2
0 0 1
0 1 1
1 2 2
10 7
0 2 0
1 2 1
0 2 1
0 0 2
0 2 2
2 0 1
0 1 0
1 2 0
2 2 0
2 0 2
10 6
2 2 3
2 2 2
0 0 3
1 2 2
2 3 3
0 1 2
2 0 0
0 0 2
0 2 2
0 3 2
10 3
1 1 0
0 0 2
2 1 0
2 1 1
2 1 2
0 2 2
2 0 2
0 0 1
0 2 0
2 2 2
10 7
2 1 0
0 1 1
1 0 0
2 2 1
2 0 0
0 0 0
2 0 1
0 2 1
1 1 2
0 2 0
10 7
1 1 1
0 1 2
0 0 1
1 0 0
2 2 2
2 0 1
1 1 0
2 2 1
1 2 2
2 1 1
10 7
1 2 0
0 2 1
0 1 2
0 3 1
0 0 2
1 2 2
1 1 1
3 3 0
0 0 0
3 3 2
10 7
2 2 0
2 2 1
0 0 2
1 2 0
2 2 2
2 0 2
2 0 0
1 1 0
0 0 0
2 1 1
10 3
1 0 2
0 2 1
2 1 0
2 2 0
0 0 2
2 2 1
1 1 2
1 2 2
1 1 1
0 0 1
10 3
1 2 3
0 1 3
0 3 3
0 0 3
2 2 3
0 2 0
2 3 3
1 1 2
3 2 1
2 3 2
10 5
0 0 0
1 0 0
1 2 0
0 2 1
2 3 1
2 0 2
1 2 3
2 2 2
0 3 1
3 1 1
10 5
0 2 2
1 1 2
1 2 0
2 0 2
0 2 1
0 0 0
1 1 0
1 2 2
1 2 1
2 1 1
10 7
3 1 3
3 1 2
1 2 1
1 1 2
3 0 0
3 2 1
2 3 0
3 0 1
2 2 1
1 3 3
10 2
3 1 3
3 2 2
1 0 1
1 1 2
0 0 3
3 2 0
2 0 1
0 3 1
2 2 3
3 1 0
10 7
3 2 3
0 2 1
1 1 0
1 0 1
3 0 2
2 0 3
3 0 0
0 0 2
1 3 2
3 1 0
10 8
0 2 2
0 3 3
0 0 1
3 3 2
2 0 3
2 0 0
1 3 3
0 2 3
0 2 0
1 3 1
10 8
2 0 2
2 1 2
2 0 1
1 0 1
0 3 3
3 0 2
3 2 1
3 2 0
0 0 3
2 1 3
10 7
0 1 0
2 2 0
1 2 2
1 1 2
0 2 1
2 1 1
2 2 2
0 2 0
1 2 0
0 0 0
10 5
1 1 0
1 0 2
1 0 1
1 2 0
2 1 2
0 0 2
2 2 0
2 1 1
1 1 1
0 1 2
10 5
2 2 2
2 1 1
2 2 1
2 2 3
0 3 2
2 3 3
1 2 3
0 1 3
3 2 0
0 2 2
10 9
2 0 1
1 2 2
1 2 1
3 3 1
3 1 3
2 2 1
3 2 3
0 2 0
0 0 0
3 1 0
10 8
2 1 3
3 1 2
1 2 2
2 3 1
0 1 0
0 0 0
2 0 0
2 0 2
0 0 3
0 3 3
10 9
2 0 2
0 2 2
0 1 2
0 1 0
2 0 1
0 0 0
0 0 1
2 1 1
2 2 0
1 2 1
10 9
2 2 1
3 3 0
0 3 3
0 2 3
2 1 2
1 0 3
2 1 1
2 3 0
1 0 2
1 0 1
10 4
2 2 1
2 0 2
0 1 1
2 1 0
1 0 1
2 1 2
0 2 0
1 0 2
0 1 0
1 2 1
10 4
1 2 0
2 0 0
2 2 1
2 0 2
3 3 1
3 1 0
1 1 3
3 2 2
1 3 2
0 0 3
10 8
2 1 1
0 1 1
1 1 1
0 1 0
0 2 0
1 1 2
1 0 1
2 2 1
1 0 0
0 2 2
10 4
0 2 2
2 2 1
0 1 0
2 0 2
1 1 2
1 1 1
2 0 0
2 1 2
0 1 1
2 1 0
10 8
0 1 1
3 0 3
2 2 2
0 0 3
1 3 3
3 3 2
1 0 0
3 2 0
0 0 1
2 0 0
10 6
2 0 2
0 1 1
1 2 0
2 1 2
2 0 0
0 1 2
1 0 1
1 1 0
2 2 0
0 0 0
10 3
0 1 1
2 1 2
3 0 1
0 2 3
3 1 0
3 0 0
1 3 0
0 0 3
0 2 1
1 2 0
10 6
1 0 0
2 1 1
2 3 0
1 0 3
1 2 2
0 3 3
0 2 0
0 0 2
1 1 3
3 1 0
10 2
3 0 2
3 3 2
0 0 3
0 2 0
3 2 1
0 2 3
1 0 0
3 1 3
2 3 0
0 1 2
10 6
1 2 2
2 1 2
1 0 0
1 1 1
2 2 1
1 2 1
1 0 1
0 0 0
2 2 0
0 1 1
10 5
1 2 0
1 1 2
0 0 1
1 0 0
0 0 0
2 1 1
1 1 1
2 1 2
0 2 2
1 2 2
10 8
1 0 3
0 0 2
1 2 1
0 1 2
1 1 1
3 3 1
2 2 1
0 1 0
2 3 3
0 0 3
10 3
2 1 0
3 2 0
0 1 1
2 3 2
3 3 0
3 0 1
3 3 1
3 3 3
0 1 2
3 2 1
10 7
2 0 1
2 1 3
3 0 1
3 0 0
2 1 2
1 2 3
1 3 1
3 2 0
2 0 3
1 0 0
10 7
1 1 3
0 3 3
2 3 1
1 0 2
3 2 2
2 1 0
3 1 3
1 3 1
0 1 3
0 3 2
10 8
1 1 0
0 0 1
1 0 0
1 2 2
1 0 2
2 1 2
1 2 1
2 2 1
0 1 2
1 1 1
10 3
0 2 1
1 1 2
1 0 0
2 2 0
0 1 2
1 2 1
1 0 2
1 1 1
1 0 1
1 2 2
10 6
2 1 2
2 1 0
2 3 0
3 1 3
3 0 1
2 2 0
3 0 3
3 3 3
1 2 2
2 2 3
10 9
2 2 0
1 2 2
0 1 2
2 0 1
1 0 1
0 2 0
0 0 1
2 1 1
2 2 2
2 2 1
10 9
1 2 2
1 3 2
1 1 1
0 3 0
1 0 1
0 1 0
2 2 2
2 3 1
0 0 2
1 0 2
10 4
1 0 2
2 0 0
0 2 0
1 1 1
2 2 0
1 1 0
1 0 1
0 0 0
0 0 1
2 2 1
10 9
2 1 0
0 2 2
2 0 2
2 0 0
1 1 1
0 1 2
0 0 0
0 2 1
0 0 1
2 2 1
10 4
2 1 0
1 1 2
1 0 0
3 1 0
1 3 0
2 3 0
0 3 2
2 0 2
0 3 3
3 2 1
10 2
2 0 3
1 0 1
1 1 0
1 2 0
2 1 1
3 0 2
3 0 0
2 1 2
1 0 3
0 0 0
10 4
2 2 0
2 1 2
0 1 2
1 0 1
0 1 0
0 0 0
0 1 1
1 0 2
1 2 0
2 1 1
10 2
1 3 1
1 0 0
3 2 2
0 2 3
0 3 3
0 2 0
3 2 1
0 2 1
3 2 3
2 2 2
10 8
1 0 1
0 0 2
2 1 1
2 2 2
2 0 2
0 0 1
2 2 0
0 1 2
1 1 1
0 1 1
10 9
2 2 2
2 2 1
0 1 0
1 2 2
1 0 1
1 0 0
0 2 2
0 1 1
0 2 0
1 1 0
10 5
1 0 2
2 0 2
1 1 1
0 1 1
2 1 1
0 1 2
0 1 0
1 2 2
1 0 0
0 2 0
10 6
0 0 1
2 2 2
0 2 2
2 2 0
1 0 1
2 0 2
0 2 0
2 1 2
1 2 0
2 1 1
10 3
2 0 2
2 2 0
1 2 2
1 2 1
2 2 1
1 0 1
2 1 2
0 2 2
1 0 2
0 1 2
10 4
1 2 0
1 2 1
1 2 2
2 2 1
1 1 2
2 0 0
1 0 1
0 2 0
0 2 1
2 1 0
10 9
3 3 0
2 1 1
0 0 0
2 0 3
3 1 1
1 0 2
1 1 2
0 3 0
0 1 1
2 0 2
10 4
0 1 2
1 1 1
1 0 3
0 3 0
2 3 2
0 2 2
1 1 2
1 2 2
0 0 0
1 1 3
10 4
1 1 3
3 0 1
2 2 3
0 1 3
1 0 2
0 1 1
1 2 0
3 2 2
2 2 1
2 1 0
10 8
1 1 2
0 2 1
0 0 2
2 1 0
2 1 2
2 2 1
1 2 1
0 1 2
0 2 2
2 0 0
10 2
2 1 1
0 1 1
0 2 1
1 0 1
2 2 1
2 2 2
2 2 0
1 0 2
2 1 2
1 1 0
10 8
2 0 0
1 2 2
0 3 0
1 1 1
3 0 1
0 0 0
1 1 2
1 0 1
1 1 3
0 0 3
10 2
2 3 0
1 0 3
2 2 1
3 1 2
0 3 0
1 0 0
1 3 2
3 3 0
1 1 0
2 0 0
10 5
1 3 0
0 3 1
0 0 3
3 0 3
2 1 0
3 1 1
1 2 3
1 1 2
0 3 2
3 3 2
10 9
1 3 0
2 2 3
0 3 3
0 1 3
0 1 2
0 3 0
3 0 2
2 0 0
3 2 1
1 0 1
10 3
0 2 0
1 2 0
2 1 1
0 2 1
2 0 2
1 0 1
0 2 2
1 2 2
0 1 1
0 0 2
10 5
1 2 2
0 1 0
2 1 2
2 1 1
2 1 0
2 2 2
2 2 1
0 0 1
1 1 2
2 0 1
10 9
1 3 1
2 2 1
3 0 3
2 2 3
3 3 2
1 3 0
1 0 1
2 2 2
3 2 3
2 1 0
10 3
1 0 2
0 0 0
2 2 1
1 2 1
0 2 1
0 0 1
0 1 2
0 2 2
0 1 0
1 1 2
10 8
2 1 0
0 1 0
1 0 2
1 0 1
2 2 2
0 2 2
2 2 1
1 0 0
1 1 1
0 1 1
10 5
0 1 1
1 0 1
0 2 2
0 1 0
1 2 2
2 2 2
0 0 0
0 2 0
1 1 2
0 2 1
10 5
2 2 1
0 1 0
2 1 1
1 0 1
3 3 0
2 0 1
0 2 0
1 2 0
1 0 0
3 3 3
10 2
0 1 2
0 0 2
0 2 2
2 2 2
1 0 1
1 0 0
2 2 1
0 2 1
0 0 1
0 0 0
10 2
0 2 3
0 0 1
3 0 0
0 0 0
2 3 2
2 2 2
1 1 3
3 2 0
0 3 3
1 2 3
10 4
1 2 2
1 1 1
0 2 2
0 2 1
2 2 1
1 2 1
2 0 1
0 1 0
1 2 0
2 2 0
10 6
0 2 3
1 2 0
0 0 1
3 0 3
1 0 2
3 3 3
0 0 2
1 3 1
3 2 0
3 2 3
10 9
0 0 2
0 2 1
1 0 0
1 2 1
0 1 2
0 2 2
2 2 0
1 1 0
2 2 2
2 1 1
10 9
2 2 2
0 1 1
0 2 1
2 2 1
2 0 1
0 0 2
1 2 2
0 2 0
0 1 2
1 1 2
10 5
2 1 0
2 0 1
1 1 1
1 1 0
0 0 0
0 1 0
0 2 0
2 1 2
1 2 2
2 0 2
10 5
2 2 3
1 2 2
0 3 0
3 0 0
3 1 3
3 3 1
1 2 1
2 2 1
1 0 0
2 0 0
10 8
0 0 1
1 1 0
2 2 2
2 0 0
1 0 1
1 2 1
2 1 2
2 0 2
1 1 1
2 1 1
10 7
0 3 2
3 2 1
3 0 1
0 3 0
1 0 1
2 3 2
2 0 3
3 3 1
1 2 0
3 2 0
10 4
0 1 1
0 2 0
1 2 1
1 1 1
1 0 2
1 0 0
0 0 1
2 1 1
1 1 2
2 2 0
10 7
3 2 3
2 0 1
3 0 1
3 3 2
2 3 1
2 2 2
1 2 0
2 1 1
2 0 2
1 0 3
10 6
1 3 1
0 3 2
2 0 2
2 3 0
2 0 0
3 2 2
3 3 0
3 1 0
1 0 2
0 1 0
10 5
2 1 2
1 2 0
0 2 2
1 0 1
1 2 2
2 0 0
1 1 0
1 1 1
2 2 2
0 1 1
10 7
1 1 0
2 0 0
1 0 0
0 1 2
2 1 1
2 2 0
2 1 2
1 0 1
2 1 0
1 2 0
10 6
1 2 0
1 2 2
0 2 2
0 0 1
1 1 0
0 0 0
2 1 1
0 2 1
2 2 1
0 1 2
10 4
0 3 3
2 2 2
0 2 1
1 0 3
3 0 2
0 3 2
0 3 1
2 1 1
2 1 0
1 1 1
10 7
1 1 2
0 1 0
0 1 1
1 2 0
1 2 1
0 0 1
1 2 2
1 1 0
1 1 1
2 2 1
10 6
3 1 0
1 0 1
1 1 1
1 2 0
0 3 1
2 3 0
0 3 0
2 1 1
3 0 0
1 3 0
10 6
1 1 0
0 0 0
0 1 1
0 1 2
1 0 0
0 0 2
0 2 1
2 2 0
0 1 0
2 0 2
10 5
1 2 2
2 1 0
1 1 0
1 2 0
1 1 1
2 1 2
0 1 2
0 0 0
1 0 0
2 1 1
10 9
3 3 0
3 1 3
3 2 0
3 1 2
1 3 3
0 0 3
1 2 0
0 1 3
1 3 2
2 1 0
10 6
1 1 1
2 1 0
1 1 0
2 2 0
1 1 2
0 1 2
0 1 1
2 0 1
2 1 2
2 0 0
10 7
3 0 1
3 1 2
0 1 0
0 0 3
1 2 1
3 0 3
2 0 2
0 1 3
2 0 0
1 1 2
10 9
3 3 3
3 1 0
3 0 0
0 2 0
2 3 1
1 3 0
3 2 0
2 2 1
3 1 1
2 0 3
10 4
3 2 3
0 1 2
1 0 1
0 0 3
2 0 0
0 2 3
3 2 2
1 0 2
1 0 0
2 1 2
10 3
2 2 0
2 0 1
0 2 0
1 0 2
0 2 2
0 0 2
0 1 2
0 2 1
1 0 1
0 0 0
10 5
1 2 1
2 2 1
2 2 0
2 0 2
2 1 0
0 1 0
1 0 2
0 2 1
2 0 1
1 1 1
10 4
3 1 3
2 0 0
1 0 3
0 1 1
0 0 2
2 1 2
1 1 3
2 1 0
1 1 1
3 3 1
10 2
3 0 2
2 2 2
0 0 2
3 2 1
2 3 1
1 0 3
3 2 0
1 2 3
1 3 3
1 1 3
10 8
0 1 2
2 3 0
0 1 1
3 2 0
2 3 3
3 1 3
0 0 0
0 3 0
0 2 2
1 1 2
10 6
2 3 1
0 2 2
1 2 1
0 0 1
1 3 3
3 1 1
3 3 3
1 3 1
3 1 0
3 2 0
10 7
3 1 3
3 1 1
0 2 2
0 2 3
3 1 0
2 0 0
1 1 1
2 2 0
1 3 1
2 2 2
10 4
0 0 2
0 1 1
2 0 2
1 1 1
3 0 0
1 1 2
1 2 0
2 1 0
3 2 2
1 3 1
10 7
0 0 0
2 2 2
1 2 1
0 0 1
2 0 0
2 1 0
0 1 0
0 0 2
1 1 1
1 1 2
10 5
1 1 2
2 1 3
1 3 2
1 0 2
3 1 2
0 3 0
0 2 0
3 2 0
3 3 1
3 3 2
10 8
1 3 1
3 2 3
2 2 2
1 1 2
2 0 2
2 3 1
3 3 0
2 3 0
3 3 1
0 0 3
10 7
2 0 2
0 0 0
2 1 0
1 2 2
0 1 1
0 1 2
2 0 0
1 0 1
1 1 0
1 2 1
10 7
3 0 1
0 0 1
3 3 1
2 2 1
0 0 2
3 3 2
2 2 2
3 2 0
0 2 3
1 1 2
10 4
0 0 2
2 1 1
2 1 0
2 2 0
1 2 0
2 0 2
0 2 2
0 0 0
0 2 1
2 1 2
10 6
2 2 3
0 2 0
2 1 1
1 0 0
2 1 0
3 1 0
1 3 1
1 0 2
2 3 3
0 0 0
10 4
2 2 0
0 3 2
2 1 1
3 0 3
1 0 3
3 3 1
0 2 2
0 2 1
3 1 1
0 3 0
10 7
0 3 3
2 1 0
3 0 0
1 1 1
0 3 2
2 0 0
0 1 1
2 2 3
1 1 2
2 3 1
10 3
2 1 1
1 1 0
2 2 1
0 1 2
0 0 0
1 0 2
1 0 1
2 0 1
1 0 0
1 2 2
10 6
3 3 0
2 0 0
3 1 2
1 0 3
2 3 1
2 1 1
2 0 2
0 0 2
1 2 0
1 3 3
10 4
2 2 0
2 3 0
2 2 3
0 1 0
0 3 1
1 1 0
3 0 0
1 0 1
1 1 3
1 2 1
10 4
3 1 1
1 3 3
0 0 0
3 0 3
1 3 2
0 1 2
0 0 2
0 2 1
2 0 3
2 0 1
10 4
1 0 2
2 1 2
1 0 1
1 1 0
1 2 2
1 2 0
0 1 2
0 0 1
0 2 0
0 0 0
10 6
1 0 0
1 3 0
2 1 2
2 0 1
2 3 1
1 1 1
3 0 1
1 0 1
3 0 3
0 0 3
10 7
0 2 0
2 2 1
0 2 2
1 0 1
2 0 1
1 2 1
1 0 2
0 1 1
0 1 0
0 1 2
10 8
1 0 1
2 1 2
2 2 2
0 1 0
1 2 2
0 2 1
2 2 1
2 1 1
0 2 0
2 0 2
10 2
2 2 3
0 1 1
1 2 2
3 3 0
2 3 3
3 3 1
1 0 2
2 2 0
2 0 2
0 0 2
10 7
2 1 2
3 1 1
3 2 0
2 1 0
1 0 3
0 2 1
1 0 1
2 3 1
3 0 1
0 1 1
10 7
2 0 2
0 1 1
2 0 1
1 0 0
0 1 0
1 1 1
1 2 2
2 2 0
1 1 2
2 2 2
10 5
2 0 1
1 0 0
2 2 1
0 1 1
1 1 2
2 2 2
1 2 0
0 1 2
1 1 1
1 0 2
10 7
1 2 2
2 0 0
0 2 1
0 0 2
1 1 2
2 1 2
0 0 1
0 1 0
0 1 2
1 0 0
10 3
1 0 2
2 1 0
0 0 0
2 2 0
0 2 1
1 2 1
1 1 2
1 2 2
0 1 0
0 1 2
10 6
0 2 3
3 2 3
3 3 0
0 1 3
1 0 3
3 0 2
2 2 2
3 1 2
2 2 1
3 3 1
10 4
0 1 1
1 1 1
2 1 1
2 0 2
1 2 1
1 1 0
1 0 1
2 2 0
0 0 1
2 1 2
10 8
0 2 2
1 2 2
1 2 0
1 0 2
1 1 2
0 0 0
2 2 0
0 1 0
2 1 2
0 2 0
10 8
1 1 3
3 3 2
1 2 0
2 0 0
3 0 0
0 1 2
3 3 1
0 2 3
0 0 2
1 3 0
10 6
0 2 1
1 0 1
2 1 3
3 0 1
1 1 3
1 1 0
3 1 2
3 3 0
1 3 2
1 3 0
10 7
2 2 3
1 1 2
0 2 2
3 3 0
0 2 0
3 1 1
2 1 2
2 0 2
0 1 3
1 0 2
10 8
1 2 0
3 3 0
1 1 2
0 2 1
3 1 3
0 1 2
0 3 1
3 0 1
0 3 3
1 2 2
10 5
1 2 1
2 0 2
0 2 0
0 0 2
1 0 2
1 2 0
2 2 1
2 2 2
2 1 0
0 2 2
10 8
1 0 2
2 1 2
2 1 0
2 2 1
0 0 1
1 1 2
1 0 0
1 1 0
2 2 2
0 2 0
10 2
1 1 1
2 2 2
1 1 2
1 2 2
2 1 1
2 2 1
2 0 1
2 0 0
1 0 0
2 0 2
10 6
2 0 0
0 2 1
0 1 1
0 2 0
2 1 2
1 1 1
0 0 1
0 0 2
1 0 1
1 2 2
10 6
3 3 1
0 3 2
1 0 1
0 3 3
2 1 2
0 2 3
3 2 0
0 3 0
1 0 0
1 1 1
10 6
3 0 0
2 2 2
0 3 1
3 3 1
0 3 3
2 3 1
2 2 0
3 2 1
1 2 1
3 1 1
10 7
1 1 2
2 1 1
2 0 2
2 2 1
0 2 1
1 1 0
2 2 0
2 1 0
0 0 2
1 0 1
10 2
0 2 2
0 1 2
0 1 1
1 2 0
2 1 1
1 2 1
0 0 2
1 1 0
0 2 0
0 0 0
10 8
1 2 1
2 1 3
3 0 1
0 0 2
1 0 2
0 3 1
1 3 1
1 1 3
3 2 3
0 1 1
10 4
1 1 3
1 0 0
0 1 1
1 0 2
2 2 0
2 0 0
1 3 1
0 3 3
2 0 2
0 3 0
10 2
2 2 0
2 2 3
1 3 0
0 3 3
2 3 3
2 0 0
1 0 3
3 0 0
1 2 3
1 2 0
10 6
1 1 0
2 1 1
1 1 2
0 0 1
2 2 2
0 1 0
0 1 1
2 2 1
1 2 2
1 1 1
10 9
1 0 0
3 0 2
3 3 3
1 3 1
2 0 1
2 3 2
3 0 1
0 1 3
2 2 1
2 0 0
10 3
0 0 1
2 1 1
1 3 2
3 2 1
2 3 2
0 1 2
1 2 1
3 3 2
3 2 2
3 0 0
10 3
0 0 2
2 1 0
0 0 0
0 1 2
2 0 0
0 1 1
2 0 2
1 0 0
2 2 2
1 1 1
10 4
1 2 2
1 0 1
0 1 1
1 2 1
0 1 2
1 1 0
1 0 2
0 0 1
0 2 1
0 2 0
10 6
0 0 0
2 2 0
3 2 2
3 3 1
1 3 1
2 3 0
1 1 1
2 3 2
1 2 1
1 0 1
10 9
3 2 0
1 1 1
2 2 2
0 1 0
3 3 0
1 0 2
3 1 2
0 3 2
0 0 2
3 0 0
10 8
2 2 0
0 1 1
2 0 1
2 0 0
2 1 0
1 0 2
0 1 2
0 1 0
1 2 1
1 2 0
10 9
1 0 1
1 0 2
2 0 1
1 2 1
0 1 1
2 2 1
1 2 2
1 0 0
2 1 0
0 0 1
10 3
2 2 2
1 2 2
0 0 1
2 0 1
1 0 0
1 0 2
0 0 2
2 1 2
0 1 1
1 1 2
10 5
3 0 0
3 2 1
0 3 3
2 3 2
2 0 0
0 3 1
3 2 0
1 1 0
3 3 0
1 2 0
10 5
3 1 0
3 1 2
1 0 0
1 2 3
2 1 0
2 0 0
3 2 1
2 0 3
2 0 2
2 3 2
10 8
3 3 2
2 0 3
3 3 3
1 1 2
2 3 0
3 2 3
3 2 1
0 2 3
0 1 2
3 0 3
10 9
0 2 0
0 0 0
1 0 1
0 0 2
1 1 2
0 1 1
1 1 1
0 0 1
2 2 0
0 1 0
10 7
1 0 3
3 3 3
0 3 1
0 3 3
0 1 0
0 0 2
1 1 0
0 1 2
2 1 2
0 3 2
10 5
1 2 2
1 0 0
0 2 2
0 0 0
2 0 0
0 1 2
2 0 1
0 0 1
0 1 1
2 2 2
10 2
0 1 0
1 2 0
2 0 0
0 1 2
0 0 0
0 0 2
1 0 0
1 0 1
2 0 2
1 2 1
10 3
0 0 1
2 0 1
0 2 1
2 2 0
1 1 2
1 1 0
0 0 2
1 2 1
0 1 0
0 1 1
10 8
1 0 0
2 2 1
1 1 1
1 1 0
0 0 0
2 1 1
2 1 0
0 2 0
1 0 1
1 2 2
10 2
1 1 1
1 2 2
0 2 0
0 0 2
1 1 2
0 2 1
2 0 0
0 2 2
1 2 0
2 1 1
10 8
0 2 0
2 2 2
1 0 1
1 2 1
0 2 1
1 1 1
1 1 0
2 1 2
1 0 2
2 2 1
10 6
0 3 2
0 3 0
2 0 3
0 1 3
1 0 3
1 1 1
3 1 1
0 3 1
2 1 1
3 1 0
10 9
1 3 0
3 0 3
1 1 1
0 0 1
2 3 3
2 2 2
3 1 3
2 0 3
0 2 0
3 1 1
10 3
2 1 0
2 0 1
2 0 2
1 1 1
0 1 1
0 2 1
0 1 2
1 2 2
1 0 1
1 1 0
10 9
1 3 0
2 2 2
3 1 0
0 3 2
2 0 1
0 1 0
3 0 2
1 3 2
1 2 0
2 3 2
10 5
3 0 2
1 3 1
0 2 3
2 1 0
1 2 1
0 1 2
1 1 0
2 3 0
2 3 1
2 2 3
10 7
0 0 2
0 2 0
0 1 1
1 1 1
0 2 1
1 2 1
2 1 1
2 2 2
2 0 2
1 0 1
10 6
2 0 0
0 1 2
0 1 0
2 2 2
2 1 2
0 2 0
2 0 1
1 0 1
1 0 2
1 1 2
10 7
3 0 3
0 3 3
1 0 1
2 2 0
3 0 2
3 1 2
1 1 0
0 0 0
2 0 1
2 2 1
10 2
3 2 2
3 2 1
0 3 1
2 2 2
2 0 1
3 3 0
0 1 1
0 3 0
1 3 1
0 3 2
10 4
2 2 1
2 0 0
0 0 2
0 0 0
1 1 1
1 0 2
2 0 2
1 0 1
1 2 1
2 2 2
10 4
2 0 1
3 2 2
2 2 1
3 0 2
0 2 3
0 3 2
0 3 1
1 2 2
3 3 1
3 0 3
10 7
2 1 1
2 1 2
0 2 1
2 0 1
1 0 2
2 2 0
1 2 0
2 2 2
1 0 0
0 0 1
10 5
0 0 0
1 0 3
3 3 0
2 1 0
3 2 3
0 2 2
3 0 1
3 0 2
3 3 3
2 3 3
10 4
0 0 2
0 2 2
2 1 0
2 0 2
1 0 1
0 2 1
2 2 1
1 0 0
1 1 0
2 1 1
10 5
2 0 2
0 2 1
2 2 1
1 1 2
0 1 0
2 1 0
1 0 0
0 1 1
0 1 2
1 2 2
10 7
2 1 0
1 0 1
0 0 2
2 0 0
1 2 0
1 1 1
1 1 0
2 1 2
2 2 0
1 2 1
10 7
2 2 1
0 3 3
1 0 0
2 0 2
1 2 3
1 1 2
1 3 0
1 1 1
3 3 1
0 0 1
10 8
2 3 0
3 1 3
3 2 1
1 0 0
3 3 0
0 0 3
0 0 1
1 3 0
2 3 3
1 3 1
10 4
0 1 2
0 1 1
0 1 0
1 1 1
2 2 2
1 0 0
1 2 1
1 1 2
1 0 1
0 2 1
10 7
3 2 2
3 3 0
1 2 1
3 2 0
3 1 0
2 3 2
2 1 2
0 3 1
3 1 3
1 0 3
10 9
1 3 3
1 3 0
3 2 3
2 3 2
2 2 0
0 1 3
2 0 2
2 0 1
3 1 3
2 1 1
10 8
3 3 1
0 0 2
0 3 1
1 2 1
3 0 2
3 1 1
3 3 3
3 1 3
0 1 0
0 3 2
10 9
1 2 0
0 0 0
2 2 1
0 2 0
2 1 0
0 2 1
0 0 2
2 1 2
1 0 2
2 0 0
10 8
0 2 3
1 0 3
2 1 0
0 1 2
0 1 1
3 3 0
2 3 1
1 1 1
2 2 3
3 2 1
10 6
1 2 0
1 1 3
1 2 1
0 0 0
0 1 3
0 2 3
2 2 3
3 1 3
0 0 1
3 0 1
10 7
3 2 3
2 3 2
2 1 3
1 2 2
3 0 2
3 3 2
2 3 3
1 0 0
2 0 0
3 3 1
10 2
2 0 1
0 2 2
1 2 1
0 0 2
1 1 0
1 0 0
0 1 0
0 2 1
2 2 0
2 2 1
10 5
2 2 1
3 1 1
2 1 1
3 2 3
0 1 0
3 0 1
2 2 0
2 2 3
3 3 2
1 1 1
10 7
2 0 1
3 0 2
1 2 0
0 3 0
2 2 0
1 3 1
1 0 3
3 1 0
1 1 0
2 0 0
10 9
1 2 3
3 1 3
1 0 3
0 0 3
2 1 0
2 0 2
0 1 2
1 1 0
0 2 1
3 0 3
10 4
1 1 1
0 2 1
0 1 2
1 0 1
0 1 0
2 1 0
2 2 2
0 2 2
2 0 1
2 1 1
10 6
0 0 0
0 0 1
1 0 0
2 0 2
2 2 3
3 0 0
3 0 1
0 3 2
3 3 1
2 0 1
10 3
0 0 2
1 0 2
0 2 1
2 3 0
3 0 1
3 3 2
3 1 0
2 1 1
3 3 1
2 2 0
10 3
1 0 0
1 1 2
0 2 0
1 2 1
2 1 1
2 2 2
1 2 2
1 2 0
2 1 0
1 0 1
10 5
0 1 2
1 2 0
2 0 0
1 2 1
2 2 2
2 1 0
2 0 1
0 1 0
0 0 0
1 1 0
10 9
0 0 2
1 1 2
2 1 2
1 0 0
2 1 1
2 2 0
1 2 1
2 1 0
2 2 1
2 0 2
10 6
1 1 1
2 0 2
1 2 2
1 2 0
1 0 2
1 1 0
2 1 1
2 0 0
1 0 0
0 0 2
10 7
2 2 3
1 0 1
2 2 1
0 2 1
0 1 2
0 0 0
3 1 1
3 2 1
3 1 2
2 0 3
10 8
2 2 1
1 1 2
2 1 1
0 2 2
1 0 0
2 2 2
2 1 2
1 2 0
2 1 0
1 1 0
10 6
0 1 3
2 1 3
0 3 1
3 1 1
3 2 2
0 0 0
1 2 0
3 3 0
3 3 1
2 0 3
10 4
0 1 2
1 0 1
0 1 0
1 1 2
0 2 0
1 2 2
1 1 0
0 2 1
2 1 0
2 1 2
10 2
1 1 2
2 0 2
1 1 0
2 1 2
1 2 0
2 0 0
0 2 2
1 0 2
0 1 2
2 2 2
10 2
1 0 2
1 1 2
1 1 1
0 0 1
2 2 0
1 2 0
2 1 2
0 1 2
1 2 2
2 0 2
10 3
1 3 0
3 1 1
0 3 0
2 0 3
1 1 2
2 2 0
3 1 3
0 0 2
3 1 2
0 1 2
10 8
2 1 0
1 0 1
2 2 0
1 0 0
1 1 0
0 1 0
0 0 2
2 0 2
0 1 1
2 2 2
10 3
2 2 2
3 2 0
0 2 3
2 2 1
1 2 1
0 0 1
3 2 1
0 2 0
1 3 0
0 1 0
10 4
0 2 3
0 3 0
1 0 2
0 3 1
3 3 0
2 2 2
3 1 2
0 1 3
2 3 3
0 0 0
10 5
1 2 0
0 2 1
0 2 2
2 1 1
1 0 1
2 0 2
0 1 0
1 0 0
2 2 1
1 2 1
10 4
2 1 0
2 0 0
2 0 1
0 2 1
0 1 1
1 1 1
1 0 1
0 0 0
0 0 1
2 0 2
10 9
0 0 0
1 2 2
2 0 1
2 1 0
0 1 0
1 0 0
0 0 2
1 2 1
0 2 1
0 0 1
10 3
1 0 0
1 1 1
1 0 1
0 1 0
0 0 0
2 2 1
2 1 0
2 0 2
2 1 1
2 0 1
10 4
0 1 3
0 3 2
0 2 0
2 0 1
3 0 2
1 1 3
3 1 0
0 1 0
1 3 3
0 3 1
10 6
1 1 2
0 1 0
2 0 2
2 2 0
2 1 0
1 2 0
2 0 0
1 0 1
2 2 2
0 2 0
10 6
0 3 1
1 3 2
3 1 1
1 2 2
1 2 3
2 2 3
1 1 2
1 2 0
0 2 3
3 3 3
10 7
1 3 0
2 2 1
1 1 0
1 0 2
1 1 3
1 2 1
0 2 3
3 1 0
0 2 0
3 2 1
10 6
2 2 2
0 2 1
1 2 1
1 0 1
0 1 0
2 0 0
0 0 2
2 1 1
2 1 2
0 2 0
10 4
2 1 2
0 0 1
1 0 1
2 2 0
1 1 0
0 1 2
0 1 0
0 0 0
0 0 2
1 0 2
10 9
1 0 1
3 0 3
0 2 3
0 0 2
1 1 0
3 3 0
2 0 1
1 3 3
1 2 1
2 2 0
10 2
2 2 1
0 0 0
1 2 1
0 2 0
1 0 2
0 1 0
2 1 1
1 2 0
2 0 2
1 0 1
10 8
0 0 2
0 1 2
0 1 0
0 1 1
1 0 1
2 1 1
2 1 2
1 2 0
2 0 2
1 1 0
10 6
3 1 1
3 2 1
3 0 3
0 0 0
3 3 0
2 3 3
0 1 0
3 2 0
0 2 0
1 0 1
10 4
1 2 0
0 0 1
1 2 2
0 0 2
2 0 1
2 2 1
1 0 0
1 0 1
1 2 1
0 1 2
10 2
0 0 0
0 1 2
0 1 0
0 2 2
0 0 2
2 2 1
2 1 0
0 0 1
2 1 2
2 2 2
10 7
2 1 1
2 2 2
2 0 1
1 0 1
3 1 2
3 2 3
0 2 1
0 0 3
1 1 0
1 2 1
10 2
2 2 0
3 0 0
3 2 1
0 0 3
3 3 1
2 1 1
2 3 3
2 3 0
0 3 1
3 3 3
10 5
3 2 0
2 3 2
2 2 2
3 1 0
2 0 2
2 0 3
3 3 0
2 3 0
3 0 2
0 0 2
10 3
1 0 1
1 1 1
2 1 0
1 2 0
0 1 0
2 1 2
0 0 0
1 2 2
1 1 2
2 2 0
10 6
0 0 2
3 3 0
0 2 2
1 2 1
3 2 0
2 0 0
2 1 2
1 2 0
1 0 1
1 0 0
10 8
2 1 1
0 0 2
0 2 2
2 1 2
1 1 1
1 0 0
0 0 0
1 2 0
2 2 0
0 1 1
10 5
2 3 3
1 2 0
0 0 3
1 1 3
0 3 2
0 1 0
2 1 1
2 0 1
0 2 1
2 0 2
10 6
3 3 2
3 0 0
0 3 3
3 0 1
0 0 3
3 0 2
1 2 0
3 3 3
0 2 1
2 1 0
10 4
2 0 3
3 2 0
1 1 3
1 1 1
2 1 1
1 0 1
2 2 3
2 3 0
0 1 2
0 0 2
10 5
0 1 0
1 1 2
0 0 2
0 2 2
2 2 1
1 1 0
1 2 0
0 2 0
0 2 1
0 0 1
10 4
1 0 0
2 2 1
0 2 2
0 0 1
2 2 2
1 1 1
1 0 2
1 2 1
2 0 2
2 0 1
10 4
0 1 0
3 2 3
1 2 2
0 3 2
1 1 0
2 1 3
3 3 0
0 0 2
0 0 3
2 0 0
10 2
2 3 2
3 3 0
0 0 0
0 1 0
1 1 1
3 3 3
0 1 2
2 2 2
2 0 1
1 0 0
10 9
0 2 0
1 2 2
1 2 1
2 1 0
1 2 0
2 0 2
1 0 1
1 1 0
0 0 2
0 1 0
10 9
0 0 0
3 1 2
0 2 1
2 3 1
3 0 2
3 2 0
1 0 2
1 3 0
0 1 3
3 0 0
10 3
2 1 2
0 0 2
0 2 0
1 2 1
2 2 2
1 1 1
0 0 1
1 1 0
1 2 0
1 2 2
10 6
2 2 1
1 1 1
2 0 0
1 0 0
0 0 1
2 2 0
1 2 0
0 0 0
2 1 1
1 1 2
10 9
0 0 0
1 0 3
3 0 2
3 1 1
2 0 0
0 1 2
2 3 0
3 3 3
1 3 0
2 1 1
10 9
2 0 2
1 0 1
2 2 0
1 1 2
0 1 0
2 1 2
0 1 2
1 0 0
1 2 2
2 1 1
10 5
2 1 1
2 2 0
0 1 2
1 0 1
1 2 0
2 0 2
2 1 2
0 2 1
1 0 0
0 0 0
10 2
1 2 1
2 2 1
0 1 1
0 2 1
2 1 2
1 2 0
2 1 0
2 1 1
2 2 2
1 1 2
10 5
0 0 0
2 2 1
1 2 2
1 1 1
0 1 1
1 0 2
1 0 0
0 2 0
0 1 0
1 1 2
10 8
1 0 0
1 1 0
0 2 1
2 0 2
2 2 0
2 2 1
2 2 2
0 2 2
2 1 2
1 2 1
10 5
0 2 2
2 2 2
0 1 1
2 1 3
1 1 0
2 1 2
0 2 1
0 0 0
2 0 1
3 3 3
10 2
0 1 2
2 1 2
1 0 1
1 1 2
0 1 0
2 1 1
0 0 1
1 0 2
2 2 0
0 1 1
10 6
3 3 0
2 3 0
3 2 0
3 0 3
1 0 1
1 3 0
0 2 2
0 0 2
0 1 1
0 1 3
10 3
2 2 0
0 1 1
1 1 1
0 0 0
1 1 2
2 2 2
2 1 1
1 1 0
0 2 1
2 2 1
10 9
1 1 1
2 0 2
2 0 1
2 2 2
0 0 1
2 2 0
0 1 0
1 0 0
1 0 1
1 2 2
10 4
0 3 2
2 2 0
2 3 2
3 1 0
0 2 1
0 3 0
1 1 3
2 0 2
1 1 2
0 1 1
10 4
0 0 0
0 1 0
0 2 2
1 1 1
2 1 0
2 2 0
0 1 1
1 0 2
2 2 1
0 1 2
10 5
3 2 3
2 0 1
1 0 3
2 2 1
2 3 1
2 1 1
2 1 0
0 1 1
2 3 0
1 0 1
10 9
0 3 3
1 0 0
2 0 3
0 0 3
0 0 1
2 3 1
2 0 1
2 2 3
0 1 0
3 3 0
10 3
0 1 0
1 2 1
1 0 0
0 0 0
0 1 2
2 2 0
1 2 2
0 2 0
2 2 1
1 0 1
10 7
1 1 1
2 2 1
0 2 2
2 0 1
0 1 1
2 1 2
2 2 2
1 0 2
1 2 1
2 0 0
10 8
0 0 2
0 0 1
2 2 3
1 2 3
0 2 3
0 1 0
1 2 2
0 1 1
0 2 0
2 2 1
10 9
3 1 3
1 3 1
2 1 1
0 2 2
2 0 2
0 0 3
0 3 2
3 1 2
1 1 1
0 1 0
10 9
0 1 3
1 3 3
2 2 3
0 0 2
0 3 1
1 3 2
2 3 3
3 0 0
2 1 0
2 3 1
10 9
0 0 3
3 0 1
2 2 2
3 0 0
0 3 1
3 2 1
3 0 3
1 0 1
3 3 2
1 2 1
10 5
1 3 1
2 0 3
2 0 2
0 0 2
1 3 3
3 2 3
0 2 0
0 0 3
0 3 1
1 3 0
10 2
0 0 2
0 1 0
1 2 2
1 1 1
0 0 0
1 1 2
2 2 0
2 1 2
2 0 0
2 1 1
10 3
2 1 2
0 0 2
1 1 0
2 0 2
0 1 2
2 0 0
0 2 0
2 2 0
2 1 0
2 1 1
10 2
2 0 2
1 2 2
2 1 1
1 2 1
0 1 2
0 1 0
0 2 0
1 1 2
2 1 2
2 1 0
10 9
1 1 0
0 0 1
2 1 2
0 2 1
0 2 0
0 1 0
2 2 0
0 1 1
0 2 2
1 0 0
10 7
0 0 0
1 1 0
0 1 1
1 2 1
0 2 0
0 1 0
2 2 0
2 1 0
0 0 2
2 2 1
10 5
3 3 1
3 0 0
2 3 1
3 0 2
0 2 3
0 2 2
2 1 3
3 2 3
3 2 2
2 2 1
10 7
1 0 2
0 0 0
1 1 2
1 2 1
2 1 0
0 2 2
1 1 1
2 2 0
2 2 1
0 2 0
10 2
1 3 2
3 2 3
2 2 2
1 0 1
3 0 1
0 1 2
1 2 1
0 2 0
3 1 2
2 3 1
10 3
0 1 1
2 1 0
2 0 2
1 0 0
2 1 2
1 1 2
0 1 0
1 1 0
1 0 1
2 0 1
10 3
2 1 2
2 0 1
2 1 1
2 1 0
1 1 2
1 1 0
0 1 0
2 0 2
0 1 1
0 2 0
10 9
2 3 3
1 3 2
3 1 2
1 2 3
2 3 0
0 0 2
3 0 1
2 2 3
3 3 2
1 1 2
10 6
1 2 0
3 2 3
1 3 0
1 0 0
3 3 3
0 0 3
3 0 2
0 0 1
0 2 3
0 1 2
10 6
2 3 2
2 0 3
1 1 3
3 3 0
3 0 0
3 0 1
0 2 1
2 3 1
3 3 1
0 3 0
10 2
0 2 2
2 1 3
0 0 0
0 2 1
1 3 1
1 1 2
1 2 1
1 0 3
1 2 0
0 1 0
10 4
0 3 1
2 0 0
0 1 1
0 2 1
3 1 3
1 1 3
3 1 0
3 2 3
0 3 2
1 2 2
10 5
1 2 2
2 1 0
0 2 2
2 2 2
0 2 1
1 2 1
0 0 1
0 1 0
1 0 0
1 0 2
10 4
3 2 1
2 0 2
0 2 3
0 3 2
3 3 0
1 1 2
1 3 0
0 3 0
1 2 3
1 2 1
10 7
1 1 0
0 1 2
2 0 0
2 2 1
0 1 1
0 0 2
1 0 0
2 1 1
2 0 1
0 2 0
10 8
2 1 0
0 3 2
1 3 3
1 0 1
0 3 1
2 3 2
1 0 3
0 3 0
1 2 0
0 2 2
10 8
0 2 0
1 0 1
2 0 2
0 0 1
2 0 0
0 2 1
1 2 1
1 0 2
1 0 0
0 1 0
10 9
2 3 2
3 3 0
1 3 1
0 2 2
3 1 0
1 1 2
2 0 0
2 2 2
3 1 1
1 3 0
10 8
3 3 0
1 0 2
3 1 1
2 2 2
1 0 1
3 3 1
1 3 2
0 1 0
1 1 2
1 2 1
10 9
2 1 0
0 0 0
2 2 0
0 1 2
0 2 1
1 0 0
0 1 1
1 2 1
1 0 2
2 1 2
10 4
0 0 2
0 1 1
2 0 1
1 1 2
0 1 0
2 1 1
1 1 1
1 0 1
1 1 0
1 2 2
10 8
1 2 1
0 0 0
0 2 0
1 1 0
1 1 2
0 1 0
1 0 2
1 2 2
0 0 2
2 2 2
10 6
0 0 1
2 2 3
3 2 2
2 0 3
2 2 2
3 0 3
2 2 0
3 3 3
1 3 2
0 1 3
10 5
3 0 2
2 2 2
2 1 0
3 1 3
0 1 3
1 2 2
2 3 2
0 1 2
1 0 0
0 1 1
10 4
1 1 1
1 2 0
0 0 2
1 1 0
0 1 0
0 2 1
2 0 2
0 2 2
2 0 0
2 0 1
10 6
2 3 1
3 0 2
1 3 1
0 1 0
1 2 1
1 3 0
1 0 0
0 3 2
0 0 3
1 2 0
10 5
0 0 1
1 2 2
0 0 2
2 2 1
2 0 2
2 1 1
0 0 0
1 0 0
2 2 2
1 0 1
10 6
0 3 2
3 3 2
3 1 3
0 2 0
0 2 3
3 2 2
0 1 1
1 1 3
2 1 3
2 0 2
10 2
1 1 2
0 1 2
0 1 1
0 0 2
1 1 1
2 2 2
0 1 0
2 1 1
1 0 0
1 2 1
10 7
0 2 2
0 3 3
3 1 0
2 1 3
0 2 3
0 3 1
3 2 1
0 1 3
0 2 0
1 2 1
10 5
3 2 0
0 1 1
3 0 3
0 3 0
3 2 2
2 2 3
0 2 1
1 0 2
2 0 2
1 1 0
10 3
0 2 1
2 2 0
2 1 2
0 0 0
2 2 1
2 0 2
0 2 2
0 0 2
2 2 2
1 1 2
10 8
1 1 2
1 1 3
1 2 3
2 2 0
2 2 3
0 3 3
1 1 1
0 3 0
3 2 3
1 2 1
10 2
1 1 0
2 1 2
1 2 2
0 1 1
2 1 1
0 0 2
0 2 2
1 0 2
2 2 1
1 1 1
10 2
0 0 2
0 2 2
2 2 2
1 0 0
2 2 1
1 1 2
0 2 1
1 1 1
2 2 0
0 1 1
10 7
2 3 2
1 1 0
3 0 1
3 3 1
0 3 2
2 2 3
0 0 0
0 0 2
1 1 2
0 2 0
10 8
0 2 1
1 0 0
2 0 1
2 1 2
0 0 0
0 0 1
0 2 0
2 2 2
1 1 1
1 0 2
10 2
1 0 2
0 0 1
1 2 0
2 1 1
2 0 0
0 2 1
0 1 1
2 0 1
0 0 2
2 1 2
10 5
1 2 0
2 1 1
2 0 1
2 1 0
0 0 0
0 1 1
1 0 2
1 2 2
2 2 0
0 0 1
10 8
3 1 3
0 3 2
2 2 1
1 1 3
3 2 3
1 0 1
1 3 1
1 0 3
0 1 3
0 2 0
10 9
1 0 2
1 2 3
0 2 1
2 2 1
1 1 3
1 2 2
0 0 2
3 3 0
2 2 3
0 0 1
10 7
1 1 1
3 0 3
1 3 0
0 3 1
3 3 2
3 0 1
0 1 1
0 2 2
2 0 3
0 1 0
10 3
3 0 3
1 1 2
1 3 1
1 3 2
3 0 2
3 3 0
3 2 2
2 1 3
2 2 3
3 1 1
10 7
1 2 0
1 0 2
0 0 2
1 1 3
3 3 2
1 0 1
1 1 0
1 0 3
0 1 2
3 0 2
10 4
1 2 1
2 0 0
1 0 0
2 1 1
1 2 2
0 0 1
1 1 1
0 2 0
1 0 2
0 2 1
10 6
0 1 2
0 2 0
0 0 0
1 1 2
0 1 1
2 1 0
1 1 0
0 0 1
2 0 2
2 0 1
10 8
1 1 3
0 1 2
0 3 2
0 2 1
1 2 1
3 1 0
1 2 2
3 3 2
0 2 2
0 2 3
10 7
2 0 0
1 1 0
0 0 1
2 2 0
1 1 2
1 1 1
2 0 2
0 0 2
2 2 1
0 1 2
10 9
0 0 2
2 0 3
2 1 3
3 1 1
0 3 3
2 1 0
2 0 0
2 3 2
3 0 0
1 0 2
10 8
1 0 1
1 2 0
1 1 1
2 2 0
0 0 0
0 1 2
2 1 2
0 1 0
2 0 1
0 2 2
10 7
0 0 3
3 1 0
2 1 2
2 1 0
3 0 2
2 1 3
3 3 1
2 2 1
2 0 1
1 3 1
10 4
3 2 0
2 2 3
0 3 1
2 3 3
3 0 1
3 1 3
3 0 0
1 0 0
3 3 0
0 2 1
10 8
2 1 0
3 0 1
2 2 3
3 0 0
3 0 2
0 2 1
3 1 3
1 0 1
1 0 3
2 3 1
10 8
1 1 0
2 0 0
2 0 2
1 0 1
2 1 1
1 0 0
1 1 2
2 1 0
1 1 1
0 0 2
10 4
2 3 1
3 2 2
1 3 3
0 3 1
3 0 1
2 3 3
2 3 0
0 1 3
0 0 1
0 3 3
10 8
1 1 0
1 1 2
1 2 2
0 1 1
0 2 2
0 0 0
2 1 2
2 2 1
0 1 2
1 0 2
10 5
3 0 3
0 2 1
3 3 3
0 3 0
1 1 3
0 2 3
1 2 2
0 1 2
2 2 3
1 3 3
10 8
1 1 0
1 2 0
1 0 2
2 0 2
0 0 1
2 2 2
0 2 1
1 1 1
0 2 0
1 2 1
10 2
3 2 2
0 3 1
0 1 2
0 1 1
0 3 3
2 0 3
0 0 2
0 3 0
3 2 1
2 0 0
10 5
0 1 2
0 0 2
1 2 0
0 0 0
2 0 0
2 2 0
1 0 2
1 2 1
0 2 2
2 2 1
10 7
2 1 1
1 2 3
0 1 0
0 2 1
2 0 1
2 1 2
3 1 2
0 2 2
1 3 0
2 2 0
10 6
2 3 0
3 1 0
0 3 1
3 3 3
2 3 1
2 1 3
2 3 2
0 1 2
3 3 0
0 0 0
10 6
2 1 0
2 2 1
2 0 0
1 2 0
0 1 2
1 1 2
1 2 1
1 1 1
2 2 2
2 0 2
10 3
2 0 0
0 1 2
2 2 1
0 1 1
0 1 0
1 2 1
1 0 2
0 0 0
1 1 2
0 2 2
10 3
2 0 0
2 1 0
1 2 1
1 0 0
0 0 2
1 1 0
2 0 2
1 1 2
0 2 0
0 0 0
10 5
2 1 1
2 0 2
1 2 2
0 0 0
0 2 0
2 1 0
2 2 1
2 2 2
1 2 1
0 0 1
10 3
0 0 0
3 2 2
0 3 2
2 0 2
0 1 0
3 1 3
2 1 0
2 2 3
2 3 2
1 1 3
10 7
2 2 0
0 1 0
2 1 2
0 0 0
1 2 1
1 1 0
1 0 2
1 2 0
0 1 1
0 0 1
10 4
0 3 2
0 1 1
1 1 0
0 0 1
3 0 1
1 2 1
1 3 1
0 0 0
1 3 2
3 2 1
10 4
3 0 0
2 2 1
3 2 1
0 0 3
0 0 2
2 0 0
0 2 0
2 1 2
1 0 0
3 2 2
10 6
1 1 1
2 1 2
0 1 2
0 2 1
1 1 2
2 0 1
1 0 2
1 0 1
2 2 1
0 2 2
10 8
2 2 1
2 2 2
0 2 2
1 1 1
0 1 1
1 2 1
0 0 1
1 2 2
1 0 2
2 0 2
10 4
1 0 1
1 2 1
0 2 1
0 0 1
0 1 0
1 1 0
1 2 0
2 2 1
2 1 2
2 2 2
10 5
1 1 0
2 2 0
0 0 2
1 2 0
0 1 0
2 0 1
1 2 1
1 0 2
2 0 2
0 2 0
10 3
2 1 1
1 0 0
1 2 2
0 0 2
1 1 1
0 1 2
2 1 0
2 0 2
2 2 0
1 2 0
10 9
1 1 2
2 0 1
0 1 0
0 0 0
1 1 0
2 2 0
1 0 0
2 2 2
0 0 1
1 2 0
10 2
1 3 1
3 1 3
1 0 1
3 1 1
1 1 0
0 3 3
1 2 3
2 3 3
3 2 3
1 1 2
10 8
0 0 2
2 2 1
2 1 1
0 2 2
0 0 0
1 1 0
0 2 0
2 0 1
1 2 2
1 2 1
10 8
2 1 2
1 1 1
1 2 2
0 2 0
2 1 1
2 2 0
0 0 1
1 1 0
2 0 1
2 1 0
10 9
0 1 1
0 2 0
1 2 2
1 1 2
2 2 2
1 1 1
2 2 1
2 1 2
0 0 0
2 1 0
10 7
2 1 0
3 1 1
2 2 1
1 0 3
0 0 2
0 2 0
1 3 1
1 1 3
3 2 2
0 1 1
10 9
0 0 1
2 1 0
1 1 1
0 2 2
1 2 1
2 1 2
0 1 1
0 0 2
1 0 1
0 2 0
10 5
1 2 2
2 0 2
2 0 1
0 0 2
1 0 2
1 1 2
2 2 0
2 0 0
0 2 0
2 1 0
10 2
3 0 0
2 2 0
0 1 3
2 1 1
0 0 1
1 0 1
2 2 2
2 1 3
1 1 1
1 3 2
10 9
1 1 1
1 0 1
2 0 2
1 2 0
2 1 1
2 2 1
2 2 2
0 2 2
2 1 2
0 1 1
10 4
3 0 1
0 1 1
2 3 0
0 2 0
0 0 1
1 0 2
1 2 0
0 0 0
0 3 1
0 2 2
10 7
1 0 0
0 1 0
3 2 2
3 0 1
3 0 2
0 0 0
0 2 2
1 3 1
2 1 1
2 2 2
10 2
0 0 1
2 2 2
1 0 0
0 0 2
0 2 0
0 1 0
2 2 1
1 1 1
1 2 2
2 1 1
10 2
1 2 0
0 1 0
1 1 2
0 1 2
0 0 1
1 2 2
2 1 2
1 2 1
2 1 0
2 0 1
10 3
2 0 2
0 3 1
2 2 2
0 2 3
3 1 0
2 1 0
1 2 2
3 1 2
0 2 0
3 1 3
10 4
2 2 2
0 2 1
0 2 0
0 0 1
1 1 0
1 0 2
1 1 1
1 1 2
0 1 2
1 2 1
10 9
0 1 0
0 2 0
1 2 1
2 0 3
3 2 3
2 2 0
3 2 2
1 0 2
2 2 3
1 1 0
10 9
1 0 2
2 0 2
1 2 2
0 2 1
2 1 2
1 1 2
2 2 1
2 2 0
1 2 0
2 2 2
10 8
3 1 3
3 0 3
2 2 0
0 3 3
1 2 2
1 2 3
0 1 2
2 0 2
1 1 2
1 3 2
10 5
1 2 1
0 0 1
0 0 2
2 1 2
0 1 1
2 0 0
1 0 2
1 2 0
0 2 2
0 2 0
10 9
3 2 3
1 1 2
3 1 3
2 2 1
2 2 3
0 2 2
1 2 1
2 2 2
0 1 1
3 1 1
10 6
1 1 3
1 2 1
0 0 0
3 0 1
1 3 2
3 3 3
2 3 3
2 3 2
1 3 3
2 0 0
10 6
1 1 0
2 2 1
0 1 2
1 2 2
0 2 0
2 1 1
1 2 1
1 1 1
1 0 2
1 0 1
10 6
0 2 0
1 2 0
1 2 2
1 1 0
0 0 2
1 1 1
1 2 1
2 2 2
2 0 2
1 0 1
10 5
0 2 3
3 0 3
3 2 3
2 0 2
2 3 0
0 3 1
0 1 2
3 0 0
3 3 1
1 1 2
10 3
2 3 0
3 0 2
3 0 1
2 1 1
2 2 2
1 2 0
0 3 2
3 2 1
3 3 3
0 1 1
10 5
0 1 0
3 0 0
1 1 1
2 3 1
1 0 1
0 2 0
2 3 0
1 1 3
2 2 1
2 2 3
10 6
3 3 2
2 0 3
3 1 2
0 2 2
0 1 2
3 2 2
1 2 1
3 2 3
1 0 3
2 2 1
10 4
0 2 0
2 2 0
1 0 0
2 0 2
2 2 2
2 0 1
0 1 2
1 0 1
0 2 1
0 0 0
10 4
3 1 3
2 2 1
1 1 0
0 0 1
0 3 0
2 0 1
1 0 2
3 0 0
0 0 3
0 1 2
10 9
3 0 1
3 1 0
0 3 0
2 0 2
0 0 2
1 0 0
3 0 3
0 2 1
1 1 1
1 0 1
10 6
0 2 0
3 1 2
2 2 3
3 1 1
2 1 0
2 0 3
0 1 3
0 1 2
1 3 2
1 1 1
10 4
2 1 3
3 3 1
3 3 0
1 3 3
3 1 2
3 1 3
0 0 3
3 0 3
2 0 0
2 2 3
10 8
0 3 1
1 2 2
0 1 0
1 1 1
1 1 0
1 2 3
3 2 2
1 0 2
2 1 0
3 0 2
10 2
1 0 2
0 0 1
1 1 0
2 0 1
1 2 2
0 0 2
1 2 0
1 1 1
2 2 0
1 1 2
10 7
3 3 1
2 1 3
1 2 1
1 3 3
0 3 3
1 1 1
1 0 0
1 3 0
0 2 1
2 2 1
10 7
1 0 1
0 0 1
2 2 0
2 0 2
0 0 0
0 0 2
1 1 1
0 2 2
0 2 1
1 2 1
10 4
2 2 0
0 1 0
0 1 1
0 0 0
1 0 2
0 2 0
2 0 2
0 0 1
2 1 2
1 2 2
10 5
1 0 0
2 0 2
1 1 0
1 1 2
0 1 1
0 0 0
2 1 2
1 2 2
0 0 2
0 2 0
10 5
2 1 0
3 0 1
3 1 0
0 1 3
2 2 3
2 2 2
2 3 1
1 1 1
3 3 0
2 1 2
10 8
1 2 1
2 3 3
0 0 2
2 2 3
3 0 3
2 1 3
3 1 1
1 2 2
3 2 3
0 0 3
10 5
3 3 0
2 3 2
3 0 3
1 3 3
2 3 1
1 1 1
0 2 2
2 3 3
3 3 2
2 0 2
10 3
2 1 2
1 0 1
2 0 2
1 1 2
1 0 2
2 2 2
3 3 3
0 0 2
3 1 3
2 2 1
10 4
2 1 2
1 2 1
0 1 2
1 0 0
0 1 1
2 0 2
2 2 2
1 1 2
0 0 1
0 1 0
10 9
3 1 1
1 3 1
2 2 1
1 3 0
1 1 1
3 1 0
2 1 2
2 1 3
0 0 2
2 3 1
10 8
0 3 2
1 0 3
3 2 3
3 1 0
3 3 1
2 3 2
0 0 2
2 0 1
2 0 2
1 2 3
10 3
0 1 2
1 0 1
2 1 3
0 0 3
2 3 0
0 2 2
3 2 3
2 2 0
3 3 0
2 3 3
10 6
1 2 0
1 0 0
2 0 1
1 2 2
0 2 0
0 1 2
0 2 1
1 0 1
0 0 0
1 2 1
10 2
0 2 2
1 0 2
2 0 2
0 0 0
1 0 0
0 0 3
3 3 1
1 3 3
0 1 1
3 1 2
10 3
0 1 0
1 2 0
2 2 1
1 2 2
1 0 1
1 0 2
1 1 1
0 0 2
1 0 0
2 1 0
10 2
0 2 1
2 0 1
1 1 2
1 0 0
2 1 2
2 2 2
1 1 0
1 0 2
2 0 0
1 2 0
10 4
1 0 0
0 0 0
0 1 0
2 0 2
2 1 1
1 1 1
0 1 2
1 1 2
0 2 1
1 2 2
10 5
3 1 2
3 2 3
0 0 2
2 3 0
2 1 3
1 3 3
2 0 0
2 1 0
2 0 3
1 0 2
10 8
3 3 3
1 2 3
3 2 2
0 2 3
0 2 0
2 1 0
3 2 1
0 0 3
3 1 3
3 3 0
10 4
2 1 2
1 0 2
0 2 1
0 1 2
1 1 2
1 1 0
1 0 1
1 1 1
2 1 0
0 0 2
10 9
0 3 2
1 1 3
1 0 0
3 1 2
2 1 2
0 0 0
1 3 1
1 3 3
0 1 0
3 0 3
10 5
0 3 0
2 2 0
3 0 2
0 2 1
0 0 3
1 1 0
3 1 3
2 2 3
1 1 3
3 3 2
10 6
0 1 1
1 1 0
0 2 1
1 0 0
2 0 0
0 0 1
2 2 2
2 2 0
2 1 2
0 1 2
10 3
2 1 2
1 2 2
2 2 1
2 1 0
0 0 0
2 0 2
2 0 0
1 2 0
1 1 2
0 2 1
10 2
0 0 0
3 0 0
3 1 1
3 0 1
3 3 2
2 1 3
0 1 3
2 2 2
0 1 1
1 0 1
10 2
2 1 3
2 1 1
0 2 3
2 0 2
0 3 0
0 2 2
1 3 3
1 2 2
1 3 2
2 2 1
10 8
2 1 1
0 2 2
1 2 2
0 0 0
1 0 2
1 2 1
2 2 1
2 2 0
2 0 2
0 1 0
10 8
0 0 2
2 1 0
2 2 3
1 3 2
1 1 1
0 1 0
0 2 3
1 1 3
1 2 0
1 2 3
10 4
3 3 2
0 3 3
3 1 2
1 0 3
3 2 0
3 3 1
1 1 0
0 1 3
2 1 1
2 0 3
10 6
3 1 3
3 2 0
1 0 2
3 1 2
1 1 1
2 3 1
0 2 1
1 2 3
0 2 0
2 1 1
10 7
2 3 3
1 1 2
2 2 1
0 2 1
1 2 3
1 3 1
1 1 0
0 3 3
0 2 0
1 2 1
10 9
2 1 1
2 2 2
1 2 0
2 2 1
0 2 0
1 2 2
0 1 0
2 1 2
0 0 1
0 0 0
10 3
1 3 1
2 0 3
3 0 3
1 1 3
1 2 1
2 0 1
3 0 2
2 1 3
3 2 0
2 2 2
10 5
0 1 1
0 0 0
1 2 1
0 0 1
2 2 0
1 1 1
1 0 2
2 0 0
1 1 2
2 1 0
10 7
0 2 2
0 0 0
0 1 0
1 2 1
2 2 0
2 1 2
1 2 0
1 2 2
2 0 2
0 2 1
10 9
3 1 2
0 2 3
2 0 2
2 3 2
3 2 1
3 2 0
3 3 0
1 0 2
2 1 1
1 2 2
10 7
1 1 2
1 0 1
2 3 1
0 2 3
2 0 0
2 3 0
2 2 2
3 2 1
2 1 1
0 2 1
10 6
1 2 1
0 0 2
3 0 2
0 3 0
0 1 2
1 3 2
1 0 0
3 3 3
1 0 2
1 1 0
10 2
0 0 3
2 0 3
1 2 3
3 1 3
2 2 1
2 2 2
2 3 2
3 2 0
1 0 2
0 0 2
10 6
0 1 0
0 0 1
3 3 0
0 0 0
2 2 0
3 2 0
1 1 0
1 3 0
0 3 3
2 2 1
10 2
3 0 3
3 0 0
2 1 1
3 3 0
0 2 1
3 0 1
0 0 1
1 1 0
2 3 3
2 2 2
10 4
0 1 0
0 2 1
0 0 0
3 2 0
1 2 0
3 0 0
2 1 3
2 1 1
3 1 2
2 1 0
10 8
2 1 2
2 1 1
0 0 0
2 2 2
2 1 0
0 2 1
0 2 0
1 0 1
1 1 0
1 0 0
10 3
1 0 2
0 1 2
0 0 1
1 1 1
1 1 2
2 1 2
2 0 0
0 2 1
1 2 1
2 0 1
10 7
1 0 2
0 1 0
0 3 3
0 3 2
2 1 2
0 0 2
3 1 0
0 0 1
2 3 0
2 1 1
10 4
1 0 0
3 3 3
0 3 3
0 1 3
0 2 1
3 0 2
2 0 0
1 0 3
0 0 3
0 2 2
10 6
1 0 0
0 2 0
2 0 2
2 2 2
1 1 2
0 1 2
0 0 1
0 0 2
0 1 0
0 0 0
10 6
2 3 2
2 0 1
3 0 2
3 3 0
1 3 1
1 3 2
2 1 3
1 0 3
0 2 3
0 0 2
10 7
2 0 2
2 0 3
3 0 3
0 1 3
3 3 2
2 2 0
3 2 3
3 0 1
1 0 1
0 3 0
10 8
2 1 2
2 0 1
2 0 2
0 0 0
0 0 2
1 0 0
0 1 0
0 1 2
2 1 1
1 1 0
10 5
0 0 0
0 0 3
2 0 1
3 2 1
1 3 2
2 1 0
2 2 0
3 1 2
0 0 2
1 1 1
10 7
1 2 1
2 0 2
1 1 0
2 2 2
1 0 0
2 1 1
2 2 1
0 1 0
2 0 0
2 1 0
10 6
3 2 2
2 3 2
0 3 1
3 3 1
1 2 1
2 3 3
3 0 0
0 2 1
2 1 3
2 0 1
10 5
2 1 2
1 1 2
0 1 2
3 0 0
0 3 3
2 1 1
1 2 2
2 0 3
2 3 0
1 0 3
10 3
1 2 3
0 2 1
1 3 2
0 0 1
0 3 1
2 0 3
3 3 3
0 0 0
2 1 3
0 3 3
10 7
3 3 3
1 3 1
3 2 1
3 0 0
2 1 3
2 1 0
3 3 2
0 0 3
3 0 2
3 2 0
10 6
1 0 1
1 0 2
0 0 1
3 1 0
2 2 0
0 3 3
1 1 3
1 2 1
3 1 3
2 2 2
10 6
2 0 1
1 0 2
2 1 2
0 2 2
2 1 0
1 0 0
0 0 0
1 2 2
2 1 1
1 1 1
10 7
1 0 3
0 2 1
0 0 2
3 1 0
0 1 2
3 2 3
3 2 1
1 1 0
1 2 0
1 2 1
10 5
1 2 3
1 0 2
0 2 2
0 2 1
3 0 1
3 1 2
3 2 1
2 1 0
3 2 0
3 0 0
10 8
2 0 0
2 0 1
0 0 1
2 0 2
0 1 2
2 2 2
1 1 0
1 2 2
1 1 1
0 2 1
10 6
1 0 3
1 1 2
3 1 1
3 2 3
2 2 1
1 3 2
3 0 0
3 1 2
0 0 0
3 2 2
10 7
1 0 2
0 0 1
2 2 0
2 1 0
0 1 1
0 2 2
1 2 1
2 0 2
0 0 0
2 2 1
10 7
1 3 2
3 3 1
0 2 0
1 2 3
2 1 3
0 0 1
3 3 3
2 2 0
0 0 3
3 1 3
10 7
0 0 0
0 2 2
2 0 2
2 0 1
0 2 0
0 1 2
2 0 0
2 2 0
1 2 1
1 1 1
10 2
0 3 3
2 1 3
1 3 3
3 0 0
0 2 2
2 0 2
1 2 0
3 2 3
3 0 2
1 0 0
10 7
3 1 3
2 1 0
3 1 2
0 2 3
1 3 1
1 2 3
3 2 2
0 1 0
3 3 3
3 3 2
10 6
2 3 0
3 3 1
2 0 3
3 2 2
3 3 0
1 0 0
0 0 0
0 1 3
1 1 2
1 2 1
10 4
2 1 1
2 1 2
2 2 2
0 2 2
0 0 2
2 0 0
1 0 2
2 0 2
1 2 1
1 1 1
10 4
2 2 0
2 0 2
1 1 2
1 2 1
0 1 2
1 1 1
2 0 0
2 1 1
0 2 0
2 2 2
10 6
3 3 3
0 0 1
2 0 2
0 0 0
1 2 2
1 1 3
3 3 1
1 3 3
0 3 3
0 0 2
10 4
1 2 0
2 1 2
0 1 2
0 0 0
2 2 0
1 1 0
2 2 2
1 2 1
0 0 1
2 2 1
10 2
3 2 3
0 2 1
3 3 0
0 2 3
0 3 1
0 0 0
2 3 2
2 2 1
3 3 1
3 2 1
10 3
2 3 2
1 1 3
3 1 3
2 2 0
1 0 1
0 0 3
3 0 3
2 2 2
3 3 2
3 3 3
10 5
3 3 0
2 2 2
0 1 0
3 3 1
0 2 3
3 2 3
0 2 2
1 1 2
3 1 1
2 3 3
10 3
2 0 0
0 1 2
1 1 2
0 1 0
1 0 2
0 0 1
0 0 0
1 2 2
1 0 0
1 2 0
10 9
0 1 2
0 2 0
1 1 1
2 1 0
1 2 1
0 1 0
1 0 1
1 2 0
2 1 1
2 0 0
10 3
2 0 2
0 0 0
0 1 2
0 0 1
1 0 2
2 1 1
2 0 0
2 1 2
2 2 0
0 2 1
10 6
0 1 0
1 2 2
1 2 1
1 0 0
0 0 0
0 1 2
0 2 0
2 0 2
0 0 1
1 1 0
10 7
1 1 0
2 2 0
1 0 1
0 2 1
2 1 1
1 2 0
1 0 0
2 0 2
0 1 1
1 2 1
10 7
3 2 3
3 1 3
1 2 1
1 0 0
0 2 3
1 1 2
2 2 1
1 1 0
2 1 3
1 3 0
10 3
0 2 0
3 0 1
2 1 1
3 3 2
0 1 1
1 3 3
0 1 0
0 3 2
2 0 1
2 2 0
10 4
3 1 1
2 0 3
1 0 3
0 2 2
2 2 0
2 3 0
2 2 1
0 3 1
1 2 0
0 3 3
10 9
2 0 2
1 3 1
2 1 2
0 2 0
0 3 0
0 0 0
3 2 1
0 3 3
3 1 0
0 1 1
10 7
1 3 1
0 0 3
1 3 2
1 1 2
3 0 1
1 3 0
2 0 2
1 0 3
2 0 3
2 1 0
10 7
1 1 0
1 0 2
0 2 1
2 2 1
1 0 1
2 1 1
1 0 0
1 2 1
2 2 2
2 1 2
10 5
2 3 3
3 1 3
1 2 2
0 0 1
1 1 2
3 0 0
0 2 3
2 1 0
1 0 0
2 3 0
10 9
2 2 1
1 2 0
2 1 1
1 0 1
2 2 0
2 0 0
1 2 2
0 0 2
0 0 1
0 2 2
10 2
1 2 2
0 0 2
1 1 0
0 2 1
2 0 0
0 1 1
2 2 0
2 2 1
2 2 2
2 1 2
10 6
1 1 0
0 0 2
0 0 1
0 1 0
1 0 1
0 2 1
0 0 0
1 2 0
2 1 1
0 2 2
10 7
1 0 1
2 0 0
3 1 2
0 0 1
3 0 1
0 0 2
3 1 1
3 0 0
2 0 1
0 3 2
10 6
1 0 1
2 0 0
1 2 2
0 1 2
1 2 1
0 0 2
2 2 1
0 0 0
0 2 2
2 1 1
10 6
2 0 2
3 1 2
3 1 1
2 1 3
3 1 0
2 3 1
3 0 0
0 3 3
0 2 0
0 3 2
10 5
3 2 2
1 3 2
2 3 0
2 0 1
1 0 0
2 2 0
3 0 2
1 3 0
2 3 2
0 3 0
10 7
0 3 1
0 1 2
1 2 2
2 1 3
3 0 2
3 0 3
3 1 0
2 3 0
3 0 1
0 0 2
10 4
0 1 0
2 2 2
1 0 3
3 0 0
0 0 1
0 2 1
1 2 3
0 3 3
1 1 2
0 0 0
10 7
1 1 2
0 0 0
1 0 1
0 1 0
0 2 2
0 0 1
2 2 2
1 2 0
1 0 2
0 1 2
10 3
0 0 0
1 1 1
0 1 2
0 0 2
2 0 0
0 2 2
1 2 0
1 1 0
1 0 1
2 1 1
10 5
0 1 0
2 2 2
0 2 1
2 1 2
1 2 1
1 0 0
0 2 0
2 0 2
1 0 2
0 0 1
10 3
0 0 1
1 1 0
0 0 2
1 2 0
2 2 1
0 0 0
1 0 2
1 2 1
2 0 0
2 0 2
10 9
1 1 1
0 1 0
0 0 0
1 2 2
2 0 0
0 2 0
2 0 2
1 0 0
2 2 0
2 0 1
10 3
2 2 1
0 0 1
0 0 0
1 0 2
2 2 0
2 2 2
1 1 1
2 0 0
1 2 1
1 0 0
10 2
2 2 2
1 0 2
0 1 0
0 2 1
0 2 0
1 1 1
1 1 2
1 1 0
1 2 0
0 0 1
10 2
2 0 2
0 0 0
0 3 3
1 3 3
0 1 2
1 2 3
2 0 3
1 3 0
2 1 2
1 0 0
10 7
1 0 2
0 1 1
0 2 1
2 1 2
1 2 2
2 2 0
2 2 1
0 0 1
0 2 0
2 1 1
10 2
2 2 2
2 1 2
0 1 1
0 2 2
2 2 0
2 0 0
0 2 1
2 0 1
1 0 0
1 1 1
10 2
1 0 2
2 0 2
2 0 0
0 2 1
0 1 2
0 0 2
0 2 2
1 1 2
2 1 0
0 1 1
10 9
1 1 1
2 0 1
1 0 2
0 1 1
2 2 2
1 0 1
0 2 2
2 1 0
1 1 0
0 2 1
10 2
0 0 2
0 2 2
1 1 2
2 2 0
2 0 2
1 2 2
2 2 2
0 1 2
0 1 1
2 1 0
10 4
0 0 0
2 2 1
2 1 1
0 1 0
0 2 1
2 1 0
1 2 1
2 0 1
1 0 2
2 1 2
10 6
1 1 3
3 0 0
1 0 3
1 1 2
2 1 0
2 0 0
1 3 0
1 0 1
2 1 2
1 2 0
10 8
0 1 1
3 1 0
3 2 3
0 2 2
3 0 3
0 1 2
0 0 0
2 3 0
2 3 1
0 2 3
10 5
2 1 1
2 2 3
1 2 1
0 0 0
0 0 2
0 1 2
3 3 3
3 0 2
0 3 3
0 2 0
10 2
1 1 0
0 0 1
1 2 2
2 0 2
0 1 1
0 1 0
1 2 0
2 0 1
2 1 1
1 2 1
10 5
2 3 2
0 2 3
3 3 3
0 3 3
0 3 2
0 3 0
0 1 3
0 2 2
3 3 0
1 1 2
10 6
1 0 2
0 2 2
2 0 1
0 1 0
0 1 2
2 2 0
1 1 0
2 1 0
0 2 1
0 1 1
10 6
2 2 0
1 2 0
1 0 2
1 0 1
0 0 1
2 0 0
0 1 1
0 2 0
2 0 1
2 1 2
10 3
0 2 1
1 2 2
1 2 1
1 0 0
0 0 1
1 0 2
0 2 2
2 1 1
2 2 0
2 0 2
10 7
3 2 0
3 2 2
2 2 0
3 0 1
1 3 0
0 1 2
2 3 2
2 2 3
3 3 1
0 2 0
10 3
3 0 3
1 3 2
3 1 1
2 0 3
1 1 2
0 2 0
2 3 1
0 2 1
3 1 2
0 1 3
10 5
3 1 2
3 3 1
1 0 2
1 1 0
3 0 1
0 1 3
2 3 3
1 3 0
1 3 2
2 2 3
10 7
2 1 1
1 1 2
2 2 1
1 3 1
0 1 1
0 3 1
0 2 0
2 3 0
3 3 1
3 0 2
10 5
2 1 2
0 3 3
2 3 3
1 1 0
0 0 1
3 2 0
3 3 0
3 3 3
2 1 1
2 0 3
10 5
0 2 0
0 1 1
2 0 0
1 1 1
0 0 0
1 1 2
2 1 0
0 0 2
2 2 0
2 1 1
10 2
0 1 0
2 1 1
3 1 0
3 1 1
3 3 0
3 2 2
2 2 2
3 0 0
3 2 1
0 3 2
10 6
2 1 1
1 2 1
1 2 0
0 0 0
1 0 2
0 2 1
0 0 2
0 2 0
0 0 1
2 2 1
10 7
0 2 0
0 2 2
2 2 3
2 1 2
0 0 0
1 3 0
1 2 1
0 3 1
2 3 1
2 0 1
10 2
2 2 0
0 2 1
1 0 0
1 0 1
1 3 3
0 2 2
0 2 0
2 2 2
3 0 1
2 0 3
10 9
0 0 1
1 2 0
1 1 1
2 2 1
0 1 1
2 0 1
0 0 0
2 0 0
0 2 1
0 0 2
10 7
0 2 1
1 0 2
2 0 0
1 2 2
0 0 2
1 1 1
2 0 2
0 0 0
2 1 2
2 2 2
10 6
3 3 3
0 3 0
2 2 3
1 2 2
3 1 3
1 1 3
1 3 2
3 1 1
3 2 0
2 2 0
10 5
2 2 0
0 1 0
1 2 1
2 2 2
0 0 2
1 1 0
2 0 0
1 0 1
0 1 1
1 1 1
10 2
2 1 0
1 1 0
0 1 1
1 1 1
0 2 0
0 1 2
2 1 2
2 0 1
2 2 2
1 2 1
10 9
3 1 3
2 0 1
2 1 3
3 0 2
2 1 1
0 1 3
0 0 2
2 3 1
0 3 2
0 1 0
10 8
2 1 0
3 0 3
1 0 2
1 2 1
2 3 1
0 3 1
3 3 2
3 2 2
2 0 2
0 0 1
10 8
0 0 2
2 1 2
2 2 1
1 2 2
2 2 0
1 1 2
1 1 0
1 1 1
2 0 1
0 1 1
10 8
2 3 0
3 3 2
3 0 3
3 3 1
3 2 1
1 1 0
0 2 3
2 1 0
3 0 2
1 0 0
10 6
1 0 3
2 2 1
1 0 2
1 1 0
3 3 3
0 0 3
3 1 2
2 3 3
2 1 0
2 0 3
10 4
1 1 0
0 1 2
2 0 1
2 1 2
0 0 0
2 2 0
1 0 0
2 1 0
1 2 1
1 2 0
10 5
0 1 2
1 2 2
1 1 2
2 0 2
0 2 2
0 2 1
2 1 2
1 0 1
2 1 0
2 2 1
10 7
0 3 0
2 3 1
3 0 1
3 2 3
3 3 3
2 0 2
1 3 3
0 0 0
0 3 2
3 0 2
10 2
0 3 2
1 1 2
3 3 2
2 2 2
2 1 3
3 1 3
1 2 1
3 0 2
3 2 2
3 0 0
10 6
0 1 1
0 1 0
3 2 3
2 3 3
0 3 2
1 1 1
1 0 2
0 2 2
1 3 0
2 1 0
10 9
1 2 0
1 0 3
0 1 0
0 1 3
2 2 2
3 0 3
3 0 1
1 2 2
2 3 0
0 1 2
10 9
2 0 1
2 0 2
2 1 2
2 1 1
1 2 0
1 0 1
0 0 2
0 2 1
0 1 1
1 1 1
10 2
2 2 1
2 2 0
2 1 2
2 1 1
1 1 2
0 0 1
2 0 1
1 0 1
1 2 2
1 1 0
10 7
1 0 1
0 1 0
0 1 1
0 2 1
1 2 2
1 0 2
0 1 2
2 2 0
0 0 0
1 1 0
10 7
1 0 0
0 2 1
2 2 1
2 1 0
0 1 1
1 1 0
0 0 2
1 0 2
1 2 1
1 0 1
10 2
2 0 0
0 0 0
1 1 0
2 0 1
1 1 1
0 1 0
2 1 2
2 2 1
2 0 2
2 2 2
10 6
3 2 2
0 0 1
1 2 1
3 1 1
1 3 2
0 1 2
3 1 2
2 0 3
0 2 2
0 3 0
10 2
2 1 1
3 1 1
3 2 0
0 2 2
3 1 0
2 0 2
0 1 3
3 0 2
3 2 1
2 1 2
10 5
2 0 3
3 3 0
2 2 1
2 3 1
0 3 2
2 1 2
1 3 1
1 3 0
2 2 0
3 2 0
10 3
1 2 0
0 1 0
1 2 2
0 2 2
2 2 1
2 1 0
2 2 2
2 1 1
0 1 2
1 1 1
10 2
0 2 2
2 2 2
2 0 1
2 2 1
2 1 1
1 2 1
2 0 0
0 2 1
0 1 0
1 1 2
10 5
0 1 2
0 1 1
1 2 1
0 0 0
2 2 0
0 0 1
1 2 0
2 1 0
1 2 2
0 2 1
10 4
3 3 1
0 2 0
3 3 3
1 2 2
3 1 3
0 2 1
1 1 3
2 2 2
2 3 0
1 0 2
10 3
0 1 0
0 0 1
2 1 1
1 1 1
2 2 0
1 2 1
0 0 2
2 1 2
1 2 0
1 2 2
10 8
1 2 1
2 0 1
0 2 0
0 1 2
0 2 2
0 0 0
0 2 1
0 1 0
2 2 1
0 1 1
10 6
2 0 1
1 0 1
2 2 1
2 2 2
1 1 0
1 1 2
0 0 1
0 2 2
2 1 1
0 2 0
10 8
0 3 3
2 2 3
3 1 2
0 2 0
1 0 0
0 2 3
0 1 0
1 3 2
1 2 3
1 2 2
10 2
0 2 0
2 1 2
2 2 1
2 1 1
2 2 2
0 1 1
0 2 1
2 0 0
2 0 1
1 2 2
10 2
0 3 1
3 1 1
1 3 3
0 3 0
0 2 3
2 1 2
1 1 1
3 1 2
2 2 2
1 2 1
10 4
1 2 1
0 0 2
2 1 1
1 0 2
1 2 2
1 1 1
1 1 0
0 0 1
1 0 1
1 1 2
10 9
2 2 2
0 1 1
1 0 0
2 2 1
2 1 1
2 2 0
2 0 0
2 1 2
1 0 1
1 1 0
10 2
0 2 2
2 2 2
2 0 0
2 2 0
2 1 2
1 1 2
1 1 0
1 2 2
0 0 2
2 2 1
10 4
2 0 2
0 2 1
3 1 1
1 2 2
1 1 1
3 2 3
3 3 3
3 3 0
1 0 2
0 0 1
10 7
1 2 1
3 3 1
0 0 3
3 0 0
0 2 0
0 1 3
3 3 0
1 0 1
0 3 0
2 0 1
10 9
2 2 0
0 2 0
3 2 3
3 3 2
3 3 0
1 2 2
3 2 1
1 3 0
1 0 1
0 1 0
10 6
1 0 2
2 2 1
1 1 1
1 0 0
2 0 1
0 0 1
2 2 2
0 0 2
0 1 1
0 1 2
10 7
2 1 2
1 1 0
3 0 1
3 0 0
3 2 3
0 2 3
2 3 0
2 3 3
1 3 0
0 0 0
10 3
1 1 3
3 1 2
0 1 0
2 0 0
0 2 1
0 0 2
1 0 2
0 0 3
0 1 2
3 0 1
10 7
1 0 0
3 2 3
1 3 2
2 0 0
2 1 2
0 2 2
2 0 1
1 3 3
3 0 0
3 3 1
10 9
1 0 2
1 2 1
1 2 0
2 2 0
0 0 1
0 2 2
0 2 1
1 0 0
0 0 2
0 1 0
10 4
1 0 1
2 2 0
1 2 2
2 0 0
1 0 0
1 2 1
0 0 1
0 2 0
0 0 2
0 2 1
10 4
0 2 0
1 3 3
0 3 0
1 2 2
2 0 3
2 1 2
0 1 1
0 2 3
2 1 3
0 0 3
10 7
1 0 0
1 0 2
0 0 0
1 2 2
2 0 0
1 1 2
1 2 0
0 2 1
1 1 1
0 2 2
10 5
1 0 1
0 1 2
0 2 1
1 0 0
2 2 0
1 2 2
1 0 2
0 2 2
0 2 0
1 1 2
10 8
1 2 2
2 2 2
2 0 2
2 1 0
0 0 1
0 2 1
0 1 2
1 2 1
1 0 2
0 0 0
10 3
2 0 2
0 2 1
0 0 0
1 2 2
2 1 2
1 1 2
2 2 0
2 1 0
0 1 2
0 1 0
10 3
2 1 1
1 1 1
0 0 2
0 2 2
2 2 0
0 2 0
2 2 2
1 0 2
1 1 0
0 0 0
10 7
2 3 2
1 0 3
0 3 0
1 3 0
3 3 1
2 0 0
2 2 1
3 2 0
1 2 1
1 3 2
10 8
1 1 1
3 2 2
3 3 2
0 1 2
3 1 1
2 0 0
3 1 0
1 3 3
0 2 0
3 0 2
10 6
1 2 0
2 0 1
1 1 0
1 2 2
0 1 0
0 2 1
2 2 2
1 0 1
2 0 2
1 1 2
10 6
1 0 1
1 0 0
0 1 0
2 0 1
2 2 2
0 2 1
0 2 2
1 2 0
0 1 1
0 2 0
10 3
2 2 1
3 2 1
0 2 3
3 3 0
0 2 0
3 2 0
3 1 3
3 2 3
0 0 1
1 0 2
10 2
0 2 2
1 2 0
2 1 0
0 1 2
0 2 0
2 2 2
2 2 0
2 1 1
0 0 2
1 1 0
10 6
2 3 1
0 1 0
0 1 2
3 0 3
3 1 0
0 3 3
0 0 0
3 3 1
1 1 3
1 0 3
10 5
0 1 2
2 3 1
3 2 1
1 3 1
3 1 3
3 0 3
2 0 0
0 0 3
2 2 3
1 1 1
10 6
0 3 0
2 3 2
3 2 3
2 0 3
3 1 0
2 2 0
1 2 3
1 3 1
3 3 3
1 2 1
10 5
1 0 1
2 1 0
2 1 2
1 1 2
0 1 0
1 0 2
2 2 0
2 2 1
2 2 2
2 0 1
10 3
2 2 0
0 0 2
0 2 0
2 0 2
2 0 1
1 2 0
0 0 1
1 0 1
0 2 2
1 1 2
10 2
1 0 0
1 1 1
0 1 2
2 0 0
0 1 0
2 1 2
0 2 1
1 2 1
1 1 2
0 1 1
10 3
2 1 2
3 2 3
0 3 0
0 3 3
2 0 2
1 0 1
1 3 3
2 3 1
2 1 1
0 0 2
10 9
0 1 1
2 0 1
2 2 1
1 1 1
1 1 0
0 0 2
2 0 2
2 1 1
2 1 2
1 0 0
10 4
2 3 1
1 0 0
2 2 3
3 3 2
1 0 1
3 2 3
1 2 1
0 1 2
3 1 0
3 3 3
10 6
2 1 0
1 2 0
1 0 0
0 1 2
0 2 0
1 2 2
2 2 0
0 1 1
0 2 1
2 2 2
10 2
2 0 1
2 0 2
2 1 1
2 2 2
0 1 1
0 1 2
1 2 2
1 0 0
0 0 1
0 0 2
10 5
0 3 1
0 0 2
0 0 0
3 2 2
2 0 2
2 2 1
2 0 0
2 0 1
2 3 0
3 0 1
10 5
2 2 1
1 0 1
0 2 0
2 1 2
0 1 2
2 1 1
2 0 0
0 2 2
1 0 2
0 1 0
10 4
1 1 3
2 2 3
2 2 0
1 2 2
3 1 1
0 3 3
1 1 1
3 1 2
2 1 0
0 1 2
10 6
1 0 0
0 2 1
1 1 1
1 0 2
2 2 1
1 0 1
2 1 1
2 2 0
1 1 0
2 1 0
10 4
3 0 2
1 0 2
1 2 2
0 3 0
1 1 1
0 2 2
0 0 0
1 3 2
1 0 1
1 1 2
10 5
0 3 1
3 2 1
1 3 0
2 0 0
3 1 3
1 2 0
0 1 2
3 3 2
0 1 1
0 2 0
10 6
1 1 2
0 0 2
0 2 1
0 2 2
2 0 2
1 0 1
2 2 1
2 2 2
2 1 2
0 1 0
10 8
1 0 0
0 0 1
1 0 1
1 1 0
2 0 2
2 1 0
0 0 0
1 1 2
0 2 0
2 1 1
10 9
0 2 2
1 2 0
1 1 0
2 0 0
2 1 2
2 2 0
0 1 0
0 2 0
2 2 1
0 0 2
10 8
3 2 3
0 0 0
3 3 1
3 3 2
0 1 0
0 2 1
3 3 0
0 3 1
0 0 2
2 2 3
10 9
1 2 1
1 2 0
2 0 0
1 0 2
2 1 0
0 0 2
0 0 1
2 2 2
1 1 0
0 2 2
10 8
0 1 3
3 1 3
3 0 1
0 3 1
0 0 3
1 3 3
2 3 2
1 0 0
3 1 1
1 0 2
10 2
0 0 2
2 2 2
0 1 0
1 0 2
2 0 2
0 2 2
2 0 1
2 1 0
2 0 0
1 2 2
10 7
1 1 2
2 0 0
2 0 2
2 2 0
2 1 1
0 0 1
0 2 2
1 1 1
0 0 0
2 2 1
10 5
1 0 0
3 0 0
1 3 0
0 3 1
2 0 3
3 1 2
3 3 0
2 0 0
2 2 1
1 3 1
10 4
0 2 1
2 0 0
3 2 0
1 0 3
2 2 2
1 3 3
3 2 3
3 0 3
2 0 2
3 1 1
10 3
1 2 2
0 1 0
0 1 1
0 0 0
1 1 0
0 1 2
2 1 2
1 2 0
1 0 2
2 0 0
10 5
1 2 0
3 1 3
1 2 2
3 3 1
0 3 2
0 1 0
0 2 2
3 1 0
2 3 3
1 1 3
10 5
1 0 0
2 2 1
0 0 2
0 0 1
2 1 2
1 1 1
1 1 0
0 1 1
2 1 0
1 2 0
10 4
3 1 3
2 2 0
1 3 3
0 3 3
2 0 2
2 0 3
0 1 1
2 2 1
2 1 3
2 0 0
10 9
3 0 3
1 1 2
1 0 1
0 2 1
0 2 3
2 0 2
0 0 0
3 3 3
2 0 3
2 1 2
10 9
0 1 1
0 2 0
0 0 0
1 0 1
0 1 2
2 0 1
2 1 0
0 2 2
0 0 2
1 0 2
10 5
0 2 2
1 1 0
1 1 2
2 1 0
2 1 1
2 0 1
0 1 1
1 2 0
2 2 2
1 0 0
10 6
0 0 1
1 2 0
0 0 3
3 0 3
2 2 2
1 1 2
3 2 0
1 0 3
3 2 3
2 1 1
10 6
0 2 1
3 1 1
2 3 0
0 1 3
2 2 2
2 2 0
1 0 0
0 0 2
2 2 1
1 2 0
10 7
0 0 2
0 0 0
2 1 0
1 1 0
0 0 1
2 0 2
0 1 1
2 2 1
1 1 2
2 0 0
10 8
3 2 3
0 3 3
3 2 1
2 2 1
0 1 1
1 0 0
1 3 1
3 3 0
0 3 2
1 2 3
10 9
0 2 1
1 3 3
3 0 0
0 1 0
0 3 3
2 3 3
3 3 1
2 3 0
2 1 1
2 2 0
10 9
0 0 2
0 2 1
1 2 1
2 2 2
1 2 2
2 1 0
2 1 1
0 1 2
0 0 1
0 2 2
10 6
3 1 3
0 3 1
1 3 2
0 0 1
3 2 3
3 1 0
0 2 0
1 2 0
0 1 3
3 1 2
10 6
2 3 2
2 2 1
2 1 2
1 2 3
1 3 2
3 3 2
2 3 0
2 1 1
3 3 3
3 3 1
10 5
3 2 2
1 3 3
1 2 0
2 2 2
2 1 0
1 1 2
1 2 3
2 3 3
2 3 1
0 1 1
10 4
1 1 1
1 0 0
1 2 2
2 0 0
0 1 1
2 1 0
2 0 1
0 2 2
1 0 2
0 0 1
10 5
3 3 2
0 1 2
1 1 2
1 2 2
3 3 3
3 2 3
0 3 0
1 3 3
1 0 3
0 2 1
10 6
2 1 1
1 0 0
1 1 0
2 2 1
1 2 2
1 1 1
0 2 2
1 0 2
2 2 0
2 1 2
10 4
1 2 1
2 1 1
2 1 0
0 0 0
1 1 2
2 1 2
0 0 1
0 2 1
0 1 2
2 2 2
10 2
0 2 0
0 0 0
1 1 2
2 1 2
2 1 1
2 0 2
1 0 0
1 0 2
0 1 1
1 1 0
10 5
0 1 2
0 0 2
1 2 0
1 1 2
1 0 1
0 2 1
1 1 0
1 2 1
2 0 2
1 0 2
10 5
1 2 1
0 0 3
2 1 0
1 3 3
2 2 2
3 3 1
3 1 3
1 1 3
0 3 1
1 2 0
10 4
0 2 2
0 0 1
0 0 2
1 0 0
0 2 1
2 1 2
1 0 1
2 0 2
2 1 0
0 1 0
10 5
1 0 1
1 2 1
2 2 1
0 1 0
1 2 2
2 2 2
0 1 2
0 0 1
2 0 1
1 2 0
10 9
1 0 0
2 0 1
2 2 2
1 2 0
0 2 1
2 2 0
1 1 2
2 1 2
2 1 0
0 0 0
10 5
0 2 0
2 1 1
1 1 0
2 2 0
2 0 0
1 0 1
1 0 0
0 2 1
0 1 1
1 2 0
10 3
1 3 3
0 3 2
1 2 0
2 0 2
1 0 0
1 3 1
0 1 1
3 2 1
0 3 1
0 1 2
10 2
2 0 1
0 2 2
1 3 3
0 2 0
1 3 0
3 0 1
1 2 1
1 0 3
1 2 3
0 3 3
10 4
0 0 0
0 0 3
0 0 2
2 0 3
3 3 3
2 2 3
3 3 1
3 2 1
0 2 0
2 0 1
10 5
3 0 0
3 3 3
1 2 1
1 1 1
2 1 3
1 1 2
3 1 2
3 1 1
2 3 3
2 3 0
10 9
2 1 2
2 2 0
3 1 2
1 1 0
1 3 2
0 1 0
0 0 0
1 3 1
2 1 1
0 3 1
10 7
1 2 3
1 0 2
1 3 0
3 0 1
0 0 2
2 1 1
0 1 0
3 2 1
3 0 3
1 3 1
10 9
2 1 0
2 0 1
1 2 2
2 1 1
0 0 0
0 0 1
1 0 1
0 1 2
1 1 1
2 1 2
10 2
1 2 0
0 1 0
1 0 2
0 2 2
0 0 0
1 0 0
1 0 1
2 2 0
0 2 0
2 0 0
10 3
3 1 1
0 0 2
2 3 3
2 2 3
3 1 0
2 3 1
1 1 3
2 0 0
3 1 2
3 2 0
10 2
0 1 0
1 0 0
2 0 2
1 0 2
0 2 0
1 1 2
1 2 0
2 2 2
0 0 0
0 2 2
10 6
3 2 1
0 0 2
0 0 0
3 0 2
2 1 1
3 1 0
3 0 3
3 1 1
1 1 0
3 2 0
10 4
1 0 2
0 0 1
1 0 0
1 1 1
0 1 0
0 2 2
2 1 0
0 2 1
0 0 0
2 0 2
10 7
0 0 0
1 2 2
2 1 1
1 1 0
2 0 0
2 1 0
2 0 2
0 2 1
1 0 2
2 2 1
10 8
2 2 0
0 2 0
0 1 2
1 1 2
2 0 1
2 1 1
1 1 1
0 1 0
2 0 2
1 0 2
10 8
0 0 1
2 2 2
1 1 0
0 1 0
0 1 1
2 0 1
1 0 1
0 2 2
2 1 1
1 1 1
10 7
0 0 2
3 3 0
2 1 1
2 0 0
0 0 3
2 3 0
3 1 0
1 3 3
3 2 0
2 0 1
10 5
0 3 2
0 2 0
3 0 2
0 1 3
0 1 1
0 2 1
0 0 1
2 2 0
1 0 2
1 3 3
10 3
3 0 3
0 2 1
1 0 2
3 3 0
3 0 2
3 1 1
0 2 2
2 2 1
2 3 0
1 1 0
10 5
2 0 0
0 0 1
2 1 2
2 2 0
1 0 0
1 0 2
0 2 1
0 0 0
0 1 2
2 1 1
10 7
0 0 1
2 2 2
0 1 1
0 2 2
2 2 1
1 0 0
2 1 0
1 2 1
1 0 2
2 0 0
10 8
0 2 1
0 1 2
3 1 1
3 2 3
0 3 3
1 3 1
3 1 0
0 1 3
3 3 2
1 1 2
10 4
0 2 1
2 1 2
2 1 1
1 0 2
1 2 1
0 1 1
0 2 0
0 0 2
1 1 0
2 0 1
10 4
2 1 2
2 2 2
3 0 2
3 3 3
0 3 0
3 1 3
3 3 0
2 3 2
1 2 0
0 1 2
10 6
3 3 0
0 1 3
1 1 1
1 0 2
3 1 2
3 2 3
1 2 2
2 1 2
3 1 3
0 3 1
10 4
2 0 2
2 1 2
0 0 2
0 0 0
2 0 0
1 2 0
2 0 1
2 2 2
0 2 1
1 1 2
10 5
0 2 3
1 3 0
0 3 3
3 0 2
2 3 0
1 1 1
2 2 0
0 3 2
0 3 1
0 0 2
10 2
2 0 0
0 1 1
1 0 1
0 2 0
0 1 2
2 0 1
2 2 2
0 2 2
0 2 1
0 0 1
10 9
0 0 1
1 1 0
0 2 0
1 2 0
2 2 0
1 0 2
2 2 2
0 1 0
1 0 1
1 0 0
10 9
0 0 1
2 1 2
1 2 2
0 0 2
2 0 0
2 2 2
1 1 1
1 2 1
1 0 2
0 1 0
10 2
0 0 0
0 2 2
0 2 1
1 1 1
2 2 0
2 0 0
1 1 2
2 1 2
1 0 1
0 0 2
10 4
3 1 1
0 2 3
3 0 0
2 2 2
3 2 2
2 3 0
0 1 2
0 2 0
3 3 2
3 1 0
10 5
1 1 2
0 2 2
0 2 0
2 2 0
1 0 1
0 1 2
1 2 0
0 1 0
2 2 1
2 0 2
10 4
2 2 3
0 2 0
1 1 2
2 1 2
3 2 1
3 0 3
2 3 0
0 3 1
1 1 3
0 3 3
10 7
2 2 2
0 1 0
1 2 1
0 2 2
1 1 1
0 2 1
1 0 1
1 0 2
2 0 1
1 1 2
10 8
1 0 0
0 2 0
1 0 1
1 1 2
2 0 0
0 1 0
2 0 2
1 2 0
0 2 1
2 1 0
10 3
3 0 3
2 2 0
1 3 1
2 3 1
0 3 1
3 1 1
1 0 3
0 0 1
0 3 3
3 1 3
10 8
2 1 0
2 0 1
2 2 1
0 1 1
0 2 0
1 2 0
2 1 1
1 1 0
2 2 0
1 2 1
10 9
2 2 1
0 0 2
2 1 0
2 1 2
0 1 2
2 1 1
1 1 0
0 2 0
0 0 0
0 0 1
10 2
1 2 0
2 0 0
2 2 1
1 2 1
0 1 1
2 1 0
0 0 0
1 2 2
0 1 2
1 0 0
10 4
1 0 2
1 2 2
1 1 1
0 1 0
2 0 1
2 0 0
1 0 0
2 2 0
2 1 0
2 1 2
10 9
2 1 0
1 0 0
2 2 2
1 2 0
1 0 2
0 1 1
2 0 2
1 1 2
1 2 1
2 1 2
10 5
0 1 2
0 2 2
2 0 1
1 0 1
2 0 0
2 1 0
0 1 0
1 1 0
1 2 0
0 0 0
10 3
0 1 1
3 2 2
3 3 3
2 1 3
2 0 1
1 1 0
0 2 0
0 2 3
2 3 0
2 2 2
10 4
2 2 0
2 0 1
2 0 2
0 0 2
0 2 0
1 2 2
0 1 2
1 2 1
1 1 0
0 2 1
10 4
0 0 1
0 1 2
2 1 0
2 1 2
2 0 1
2 0 0
2 0 2
0 2 0
1 1 1
1 1 2
10 4
0 2 0
2 2 0
1 0 2
2 2 1
1 1 1
2 1 0
1 0 0
1 2 1
2 1 1
0 0 2
10 8
2 3 0
2 3 3
0 0 0
2 1 1
1 2 1
0 3 3
1 0 0
0 0 3
1 2 3
1 3 0
10 4
2 2 0
2 0 1
2 1 0
0 1 1
0 1 0
1 2 2
1 1 2
2 2 1
0 0 1
2 0 2
10 6
2 2 0
1 1 1
0 2 2
2 1 2
0 1 2
1 1 2
2 1 1
0 0 1
2 0 1
1 1 0
10 4
3 0 0
3 2 0
3 1 2
3 0 1
2 0 3
3 3 3
3 1 1
1 3 3
1 3 2
2 3 2
10 6
0 0 2
3 2 1
3 2 3
0 2 1
0 3 0
1 2 2
2 1 2
3 2 2
1 2 3
3 0 0
10 3
3 3 1
1 0 2
2 1 1
3 2 3
2 3 0
0 0 0
1 3 0
2 0 0
0 2 1
3 0 2
10 8
0 1 3
3 1 0
2 2 3
0 3 1
0 1 1
1 0 0
3 2 3
2 2 1
0 3 2
3 0 3
10 3
1 2 1
2 3 3
3 2 2
1 1 1
0 1 1
0 3 3
3 0 3
2 3 2
0 2 3
0 1 0
10 5
0 3 0
1 1 0
3 2 3
2 1 1
1 2 0
2 0 1
1 0 0
3 2 2
2 0 0
3 0 2
10 6
0 0 0
2 0 0
1 0 0
0 0 1
1 0 2
0 1 2
1 1 0
0 1 0
2 1 1
1 2 0
10 4
1 2 0
0 2 2
0 1 2
2 2 2
0 0 1
2 0 1
2 1 1
0 2 1
0 0 2
1 1 2
10 8
1 1 1
1 0 1
0 0 0
2 0 0
0 1 0
1 0 0
0 2 2
1 0 2
0 2 0
2 1 1
10 8
3 2 3
2 0 3
3 1 2
0 0 2
3 3 1
1 1 2
0 3 2
1 2 1
1 2 0
3 1 0
10 8
1 0 0
0 1 2
2 2 1
0 0 1
2 0 1
1 1 2
1 2 2
2 1 1
0 0 0
0 2 2
10 2
0 0 2
2 0 1
3 1 3
3 2 0
1 2 3
1 0 1
3 2 3
3 1 1
1 2 0
2 1 1
10 7
2 2 1
3 3 3
1 2 2
3 1 1
0 2 2
0 3 3
3 3 1
0 3 2
2 0 1
1 0 3
10 7
3 3 1
1 1 1
0 1 0
1 3 0
0 0 0
3 2 3
2 1 2
3 2 1
0 3 2
0 1 1
10 7
1 2 1
1 1 0
1 0 2
2 0 1
0 0 2
2 2 0
0 0 1
2 2 2
2 1 0
2 1 2
10 8
1 1 2
0 1 0
0 0 0
2 2 0
0 1 2
2 2 1
0 2 1
1 2 0
1 2 1
0 2 0
10 7
1 2 0
0 2 2
2 1 2
0 1 2
0 0 1
2 1 1
1 0 2
1 1 0
1 0 1
2 2 1
10 8
1 2 2
0 0 2
1 0 2
1 0 0
1 1 0
0 1 2
0 2 2
2 1 0
0 1 0
2 1 2
10 6
2 1 0
0 1 2
1 0 1
2 0 2
0 0 1
0 1 0
2 2 1
2 1 2
1 2 1
1 1 1
10 6
0 2 1
2 1 2
1 2 1
2 0 0
0 0 1
2 0 2
2 2 1
0 1 0
1 1 1
2 2 0
10 8
1 0 2
1 1 2
1 1 1
0 1 1
1 2 1
1 2 0
2 0 2
0 2 2
0 0 2
0 1 2
10 9
3 0 3
3 3 1
3 1 0
3 3 2
3 0 0
0 2 2
2 2 0
3 3 0
1 0 2
0 1 2
10 9
0 1 1
3 3 2
1 2 1
2 0 0
0 0 1
0 2 2
2 2 2
0 2 3
3 1 2
3 3 3
10 3
3 2 1
2 1 1
0 0 3
2 3 2
1 1 3
3 2 0
1 0 3
1 0 0
1 1 0
1 1 2
10 9
1 0 0
2 1 2
2 2 1
0 2 1
0 0 2
2 0 2
1 1 0
0 0 1
2 1 1
0 2 0
10 8
1 2 1
1 1 3
1 2 3
3 1 1
1 2 2
2 1 0
1 2 0
0 0 0
2 2 2
0 0 2
10 3
2 1 1
0 3 3
3 2 2
2 0 0
2 2 2
1 0 3
3 3 2
1 3 0
2 0 3
0 0 3
10 7
1 3 0
3 1 2
0 0 3
1 0 0
0 3 1
3 2 1
3 3 1
0 1 3
2 1 0
3 3 2
10 6
2 1 2
0 0 2
3 2 1
2 3 0
1 0 0
0 1 0
2 2 0
1 0 1
3 3 3
3 2 3
10 6
3 0 1
1 2 3
2 2 3
1 0 2
2 1 2
2 3 2
3 3 0
1 1 3
1 3 3
3 3 3
10 7
1 3 0
3 0 1
3 2 2
3 1 1
3 1 3
1 0 2
0 2 2
0 0 2
3 0 0
2 3 1
10 8
3 0 2
0 0 3
3 3 1
2 0 3
0 2 0
1 2 1
2 2 1
1 3 3
2 3 0
3 1 2
10 6
1 0 1
0 3 3
0 2 0
0 3 2
2 2 2
3 1 3
1 3 3
1 2 3
1 1 0
2 1 0
10 4
2 0 0
1 2 1
1 1 0
1 0 0
1 2 2
2 2 1
2 2 0
2 0 1
2 0 2
0 0 0
10 7
1 1 1
0 0 1
1 2 0
2 2 0
0 0 0
1 2 1
2 1 0
2 2 2
2 0 2
1 0 0
10 3
1 0 0
1 0 1
1 1 0
3 3 1
0 2 1
3 2 1
0 1 2
1 2 2
2 0 1
2 2 3
10 3
2 0 2
2 2 2
2 1 0
0 2 0
0 0 2
1 1 1
2 2 1
1 0 1
0 0 1
1 0 2
10 5
0 1 0
1 0 0
2 1 2
0 0 2
2 0 2
0 0 1
1 0 1
1 1 0
2 0 1
1 1 1
10 8
2 2 0
0 2 0
1 2 1
2 2 2
0 1 1
1 2 2
2 0 0
0 2 2
2 1 1
0 0 2
10 8
2 2 1
1 1 0
1 2 2
2 2 2
2 0 0
0 1 1
0 0 1
0 1 0
0 2 1
1 1 2
10 8
0 0 1
1 2 0
0 2 0
2 1 1
1 2 1
1 0 0
1 1 1
1 1 0
2 2 1
2 2 0
10 7
2 1 0
0 0 1
2 0 2
1 1 2
1 1 1
1 2 1
2 2 1
0 1 1
1 0 2
2 0 1
10 4
2 1 1
0 0 0
2 0 0
2 2 0
1 0 2
1 0 0
0 0 2
2 2 1
1 0 1
1 2 0
10 8
3 3 0
3 1 0
0 2 0
3 0 1
0 0 3
3 2 3
0 1 2
1 0 3
2 2 2
3 1 3
10 9
2 1 2
0 0 0
1 0 1
0 2 0
1 1 0
0 1 1
2 1 1
0 0 2
0 2 2
2 2 0
10 5
0 2 0
2 0 1
1 0 2
2 0 2
0 2 2
0 1 0
0 2 1
2 1 0
1 1 1
1 1 0
10 7
0 0 3
0 1 2
0 1 0
1 1 0
2 1 2
2 2 3
1 1 1
0 3 3
0 3 2
2 1 0
10 7
1 0 3
0 0 1
0 2 2
1 0 1
0 1 0
2 2 0
2 0 1
0 3 1
3 3 1
2 3 0
10 6
2 1 1
1 2 2
2 0 0
1 0 2
2 2 1
1 0 0
0 2 2
2 0 2
0 0 2
0 1 0
10 5
1 1 3
2 3 3
3 0 0
3 3 2
0 0 2
0 1 3
3 2 1
0 1 2
1 1 1
0 2 3
10 6
0 1 0
1 2 2
2 2 1
0 2 0
1 0 1
0 2 1
1 2 0
0 1 1
1 1 0
0 0 2
10 8
0 0 2
0 0 0
2 1 0
1 2 0
1 1 2
1 0 1
2 2 2
1 1 0
2 1 1
2 2 0
10 7
1 3 0
2 1 1
0 1 2
3 2 3
2 1 3
2 3 2
2 3 1
2 0 0
3 3 0
1 0 2
10 7
0 1 2
0 2 2
1 0 3
2 0 3
2 2 3
3 2 2
1 1 2
1 1 3
2 2 2
2 0 2
10 8
3 2 0
0 1 3
3 3 1
0 3 1
1 0 3
2 1 1
3 0 2
1 1 2
0 3 3
0 2 3
10 4
0 1 0
0 0 0
2 0 1
1 0 1
2 1 1
1 0 0
0 2 2
1 2 0
0 0 2
1 2 2
10 2
0 1 2
1 2 1
2 1 1
0 1 0
0 2 1
1 0 1
2 2 0
1 2 2
2 2 1
0 2 0
10 7
2 2 0
2 1 1
0 0 2
0 2 1
1 1 1
2 0 0
2 0 1
1 0 1
1 2 2
0 0 1
10 8
2 0 2
1 0 1
0 2 0
0 0 2
1 2 2
2 2 0
1 2 0
2 1 2
2 1 0
2 0 0
10 2
1 1 1
0 2 1
1 0 2
0 2 0
0 1 0
1 1 2
2 2 0
2 1 1
2 0 1
0 0 1
10 4
0 2 3
0 3 2
2 1 3
2 3 1
3 3 3
1 2 1
3 1 2
3 1 0
0 3 1
1 0 3
10 9
2 2 2
0 2 0
0 1 2
3 0 1
2 0 1
1 0 3
0 2 2
2 1 3
1 3 2
0 1 0
10 9
1 0 1
0 2 2
1 2 2
1 0 2
2 2 0
1 1 2
1 1 1
0 2 0
1 0 0
2 2 1
10 6
2 2 2
2 0 0
1 2 2
3 1 0
3 1 2
0 0 2
3 0 0
0 1 1
1 3 3
2 2 1
10 6
1 2 0
2 1 0
0 0 2
0 3 1
3 0 2
1 2 3
2 2 2
1 3 0
1 3 1
2 3 3
10 7
2 0 1
1 2 3
0 3 2
2 3 2
2 1 3
1 1 1
2 3 0
0 2 0
0 0 3
3 0 2
10 6
1 2 1
0 0 1
2 1 0
1 1 2
1 2 2
0 1 2
0 2 1
2 2 0
1 0 2
1 0 0
10 5
0 1 0
0 3 1
2 3 0
2 2 0
0 1 3
1 3 2
2 1 2
3 2 2
1 1 2
3 2 3
10 6
1 0 1
3 0 2
3 3 3
3 1 2
1 1 1
3 2 3
1 0 2
0 2 2
1 3 2
0 1 0
10 2
0 2 2
1 1 1
2 2 1
1 0 1
1 0 2
0 1 2
0 0 0
2 0 1
2 1 2
1 2 1
10 5
0 1 3
2 2 0
0 1 2
2 2 3
1 2 1
2 1 2
1 1 0
3 0 2
0 1 0
0 3 3
10 2
3 2 1
0 1 3
1 0 2
1 2 1
0 3 0
3 2 3
0 3 2
3 1 1
3 1 0
0 3 1
10 2
2 0 2
1 0 1
1 1 0
0 2 2
0 1 2
1 2 2
0 2 0
0 1 1
0 0 1
2 2 2
10 4
2 0 1
0 0 2
2 1 2
0 1 2
1 1 1
2 1 1
1 1 0
0 2 0
0 1 1
2 2 0
10 2
0 2 0
1 1 0
0 1 1
0 0 0
2 1 0
2 0 1
0 0 1
0 2 2
0 1 2
1 0 1
10 4
2 0 2
2 1 0
1 2 2
1 1 0
0 1 2
1 1 1
2 2 0
2 2 1
0 2 2
0 0 1
10 6
3 3 0
0 1 1
2 1 3
3 0 3
2 0 3
0 1 2
2 2 0
2 3 2
3 0 2
1 0 0
10 7
3 0 0
2 2 2
0 3 0
3 3 2
1 3 0
2 0 3
3 3 1
0 3 1
2 1 2
1 0 1
10 6
0 1 0
0 3 2
1 0 2
0 3 3
0 1 2
0 0 3
0 2 3
1 1 1
3 3 3
0 2 2
10 4
1 1 1
1 1 0
1 0 0
2 1 1
0 2 2
2 0 2
0 3 0
0 2 3
0 0 2
2 2 3
10 6
1 1 2
2 1 1
0 0 1
1 2 1
2 1 0
2 0 1
1 0 0
0 0 2
1 2 2
1 0 1
10 2
2 2 2
2 2 0
3 2 1
0 1 0
3 3 3
3 3 1
2 3 2
3 1 3
3 0 0
0 1 3
10 8
3 1 0
2 1 1
0 2 3
3 2 2
0 2 0
2 3 2
1 2 2
3 0 2
0 3 1
1 0 1
10 3
2 1 0
0 1 2
0 0 2
1 0 2
2 2 2
1 2 0
1 1 1
2 2 1
1 1 2
1 2 2
10 8
0 0 2
1 2 3
0 3 2
2 3 2
1 2 0
0 2 1
3 2 3
1 1 0
2 0 0
2 1 0
10 7
2 1 1
2 0 0
2 2 0
0 2 0
2 2 2
1 1 2
1 0 2
2 0 2
0 0 0
0 0 2
10 2
0 1 1
2 1 1
2 0 1
3 1 2
3 1 0
2 2 0
2 2 3
3 3 2
1 2 1
0 2 1
10 2
3 0 0
3 2 2
3 1 1
0 1 1
1 1 3
1 0 0
2 2 0
0 2 0
0 1 3
0 0 3
10 3
3 0 1
2 0 1
3 1 0
3 0 3
1 1 0
1 2 3
0 0 2
2 2 1
2 3 3
3 1 3
10 2
0 2 0
0 1 1
2 1 0
2 0 0
2 0 1
0 2 2
0 0 1
1 0 0
0 0 2
2 0 2
10 5
0 1 2
2 1 1
1 0 0
0 2 1
0 0 0
2 0 1
2 2 0
2 0 0
1 2 0
0 2 2
10 3
1 2 2
2 2 1
0 2 1
1 2 1
2 0 2
0 2 0
1 0 1
0 1 0
2 1 1
1 1 0
10 6
1 1 1
0 0 3
3 2 1
3 1 3
3 1 2
3 1 0
3 0 3
3 0 1
2 1 0
0 2 2
10 6
3 3 2
2 2 1
0 2 2
3 0 2
0 2 0
0 1 2
1 2 1
0 1 1
0 2 3
1 1 2
10 9
0 0 0
1 2 3
0 1 1
3 2 0
3 3 0
3 1 2
1 2 1
0 3 1
2 0 1
2 0 3
10 7
2 1 1
1 2 1
1 1 1
1 1 0
1 3 3
0 1 3
0 1 0
0 0 0
3 1 1
2 0 1
10 2
2 2 2
1 2 2
0 2 2
1 1 0
1 2 1
0 0 1
1 0 1
0 1 0
0 0 0
2 1 1
10 8
2 1 0
0 2 0
2 0 1
1 0 1
1 2 0
1 0 2
0 0 0
0 0 2
1 2 2
1 1 2
10 5
3 3 0
2 0 1
3 3 1
0 1 0
3 1 2
0 2 1
1 2 3
2 3 0
0 3 3
1 3 1
10 5
3 0 3
1 0 2
0 3 1
0 3 0
3 3 2
3 3 3
0 2 2
1 1 1
3 2 2
3 1 2
10 8
2 1 2
1 2 0
2 0 2
1 0 1
0 2 1
0 0 1
1 2 1
1 1 0
0 1 1
1 1 1
10 2
3 0 1
2 0 0
0 1 3
1 2 2
2 2 3
1 3 0
0 3 1
2 1 0
1 2 1
2 0 3
10 2
2 1 0
1 0 1
2 0 0
2 1 2
0 1 0
0 0 1
2 2 0
1 1 0
0 2 0
1 2 2
10 7
2 1 0
2 1 1
0 1 1
0 2 1
2 0 0
0 0 1
1 0 1
0 1 2
0 0 0
1 1 1
10 9
3 0 0
1 0 0
0 3 2
2 1 2
3 1 0
0 1 2
1 0 2
1 0 3
3 1 2
2 2 2
10 5
0 0 1
0 1 2
1 2 0
0 1 1
0 0 0
1 1 0
0 1 0
1 0 0
1 2 2
2 2 0
10 8
2 2 2
0 0 0
1 1 0
2 0 2
1 0 1
2 1 2
1 1 2
2 0 1
0 0 1
0 2 0
10 9
2 0 0
0 2 1
0 0 1
0 0 0
0 2 2
1 1 1
2 1 1
1 1 0
0 0 2
2 2 0
10 2
2 2 0
1 1 0
2 0 0
3 3 1
2 1 0
3 1 0
2 3 2
1 0 2
3 0 1
1 0 0
10 5
0 1 2
1 2 2
0 0 0
1 2 0
1 0 1
0 2 1
0 2 0
2 2 1
2 0 1
2 0 2
10 2
1 2 0
0 2 0
0 1 0
1 1 0
1 2 2
2 0 2
1 1 2
0 0 1
1 0 2
2 0 1
10 7
2 1 2
1 0 1
1 2 1
0 2 0
1 1 1
2 2 1
0 0 0
0 1 2
0 1 0
0 0 1
10 6
2 0 1
2 2 1
1 0 2
0 2 2
1 2 1
2 1 2
1 1 2
2 1 1
2 2 0
0 1 0
10 6
2 0 1
1 0 0
0 1 0
0 0 0
3 3 3
1 1 0
2 1 0
1 1 2
1 2 2
3 2 1
10 7
1 0 0
2 1 1
1 1 0
0 2 0
1 1 2
2 1 0
2 0 1
2 2 1
2 2 0
1 2 1
10 6
1 0 3
2 3 0
2 1 2
3 0 0
0 3 1
3 2 1
1 3 2
0 1 3
0 2 2
2 2 0
10 7
3 1 1
0 0 2
2 2 2
1 3 2
0 1 1
3 3 0
3 3 3
1 2 3
3 1 0
2 1 1
10 4
2 2 1
1 2 1
1 0 0
1 0 2
2 1 0
2 1 2
0 2 2
2 0 2
1 2 0
2 2 2
10 3
0 0 0
0 1 0
1 2 0
1 2 1
0 0 2
2 0 1
2 1 1
2 2 1
1 0 1
0 2 1
10 8
2 2 0
1 1 0
2 0 2
0 2 0
0 1 1
0 1 0
0 2 1
1 2 0
1 1 2
1 0 1
10 3
0 3 3
2 3 0
0 2 2
1 2 2
1 2 1
2 3 3
1 2 3
0 0 2
1 3 1
3 1 0
10 4
0 1 0
2 1 1
0 0 1
1 2 1
2 2 2
0 2 0
0 0 0
0 0 2
2 2 0
2 0 2
10 7
2 2 2
1 2 1
0 1 2
2 1 0
2 2 1
2 0 1
1 0 2
2 0 2
0 2 2
0 1 1
10 8
2 0 1
2 0 2
3 0 1
3 2 2
3 1 1
2 2 0
1 2 0
0 1 3
2 1 1
1 0 0
10 9
1 0 3
0 0 1
3 2 2
1 2 1
1 1 1
2 3 0
3 3 3
0 1 2
2 1 3
2 2 3
10 8
2 0 1
2 1 0
1 1 2
0 0 2
2 1 1
0 0 1
1 0 1
2 0 0
0 2 1
2 0 2
10 3
2 1 0
0 2 2
1 1 0
2 0 1
2 2 0
0 0 0
2 1 2
2 0 2
1 1 2
1 2 1
10 8
0 1 2
1 2 2
2 1 2
1 1 2
0 1 1
2 0 0
1 0 0
0 2 1
0 2 2
1 1 1
10 9
3 0 3
2 0 3
1 0 1
2 0 2
1 1 1
3 2 1
0 0 0
1 2 0
3 0 2
0 3 3
10 7
1 2 0
0 1 2
2 1 1
0 2 1
0 0 2
2 1 0
1 2 2
2 0 0
2 2 0
2 0 2
10 3
1 1 1
0 0 1
1 0 1
1 1 2
1 2 2
2 2 1
1 0 0
1 1 0
0 2 0
2 1 1
10 2
0 1 1
0 0 1
3 2 2
1 3 0
0 3 1
2 3 3
0 2 2
1 2 1
0 0 2
2 3 1
10 2
1 3 3
3 1 1
3 1 0
2 0 2
3 3 1
0 0 0
1 1 0
1 0 0
0 3 3
3 1 3
10 2
0 3 0
2 1 1
0 1 3
2 0 3
1 1 1
3 2 1
0 0 3
3 3 3
2 2 0
3 0 3
10 5
2 0 1
2 2 0
1 0 1
1 1 1
2 0 0
2 1 1
1 1 0
2 1 0
0 0 0
2 2 1
10 9
2 1 0
1 0 1
1 1 2
2 1 1
0 2 2
2 2 1
2 2 2
2 2 0
0 2 1
0 0 0
10 4
3 0 0
2 1 1
0 0 0
1 0 1
3 3 0
1 2 1
2 1 2
1 3 0
3 0 2
3 1 0
10 7
2 1 3
1 1 0
3 2 1
1 3 1
3 1 2
1 2 0
0 1 2
2 3 1
2 2 2
1 0 2
10 6
0 3 0
1 2 1
0 2 0
1 2 2
3 3 0
2 1 0
0 2 3
2 0 0
0 3 1
0 2 1
10 7
0 0 2
2 0 1
1 1 0
0 1 1
1 2 0
2 1 0
2 0 2
2 0 0
1 0 0
0 1 2
10 5
0 0 2
2 2 2
2 1 1
1 2 1
1 1 1
1 1 2
0 1 0
2 2 1
2 0 0
1 1 0
10 9
1 2 1
1 1 0
3 2 0
1 1 2
0 0 3
1 0 0
3 1 1
2 0 3
3 1 0
3 2 1
10 6
0 0 2
1 1 0
1 1 2
1 2 1
2 2 0
2 1 1
1 0 0
2 0 1
2 1 2
0 0 0
10 7
1 0 1
0 0 2
1 2 0
2 1 0
2 0 0
0 1 2
2 2 2
1 0 2
2 2 1
2 0 1
10 3
3 3 1
3 3 2
2 0 1
0 1 2
2 0 2
2 3 1
3 2 2
0 3 3
2 1 1
1 3 0
10 4
1 0 2
2 2 0
3 0 2
0 3 2
2 3 1
1 3 3
3 3 3
0 3 3
2 1 1
2 3 0
10 5
3 1 2
3 2 2
2 0 0
1 1 0
0 3 0
3 2 0
1 3 1
1 1 3
2 2 3
1 1 2
10 5
1 2 0
0 0 0
2 1 0
2 1 1
1 0 0
2 0 2
0 2 2
0 0 2
2 2 1
1 1 0
10 2
0 2 0
1 0 0
1 2 0
2 1 0
2 2 1
0 2 1
1 1 0
2 0 1
1 1 1
2 0 0
10 8
0 3 3
3 1 1
1 0 3
2 0 0
3 2 0
1 3 3
3 0 2
1 3 1
0 3 1
0 2 1
10 8
3 3 2
0 3 3
0 3 1
2 2 3
1 0 1
0 3 0
1 2 2
2 1 2
0 0 1
2 3 3
10 9
3 0 0
0 3 0
3 2 0
2 0 0
0 1 1
0 3 2
2 0 3
2 2 3
0 3 3
1 3 3
10 2
3 3 0
2 0 0
1 3 0
1 2 1
2 2 2
3 0 0
3 1 2
1 1 3
0 2 3
2 3 1
10 6
0 0 0
0 2 0
2 2 2
2 0 2
0 2 2
1 0 1
2 2 1
0 2 1
0 0 2
0 1 1
10 9
3 1 3
3 3 0
1 2 1
0 3 3
1 2 0
2 1 1
0 3 1
1 1 0
1 3 3
2 2 0
10 8
2 2 2
2 1 2
2 1 0
2 2 0
0 0 1
2 2 1
1 0 1
0 1 2
1 2 2
0 2 1
10 6
1 2 0
0 3 3
2 0 2
0 0 1
0 0 0
0 3 2
1 3 1
3 2 1
1 1 0
0 0 2
10 4
1 3 2
0 3 2
2 0 2
2 1 1
3 0 3
1 0 0
3 2 3
3 3 3
1 3 1
0 2 1
10 6
2 2 0
2 2 1
2 0 1
0 2 2
0 1 2
1 2 0
0 0 1
1 0 2
1 0 1
2 1 0
10 7
3 0 3
1 2 0
1 1 1
2 0 1
3 2 0
0 2 3
1 1 3
2 0 0
1 1 0
1 0 0
10 4
0 2 1
2 3 3
0 0 0
3 3 0
1 2 1
2 1 1
2 0 2
0 1 1
1 2 2
0 2 3
10 9
1 0 1
0 0 1
3 3 2
2 2 1
2 1 2
1 1 1
2 0 2
3 2 1
2 1 0
1 0 3
10 2
0 0 3
0 1 1
1 3 1
0 3 0
2 3 3
2 1 1
3 3 1
3 1 1
3 1 3
1 1 1
10 3
1 2 0
1 2 2
2 1 0
2 0 1
0 1 2
0 0 2
1 0 1
0 1 0
0 0 1
1 2 1
10 9
2 2 2
0 0 0
2 0 1
1 1 0
2 2 1
1 1 2
2 1 2
0 0 2
2 0 2
0 1 0
10 4
2 2 1
1 1 1
0 0 1
2 1 2
1 0 0
0 2 2
0 1 1
0 0 2
1 2 2
1 1 2
10 4
2 2 3
0 0 2
3 1 3
1 2 3
0 1 2
2 1 3
2 2 1
2 3 3
2 1 2
3 1 0
10 6
3 3 0
3 1 3
1 3 1
1 2 1
2 3 0
2 1 2
0 1 0
1 0 2
1 2 3
2 2 3
10 3
0 0 3
2 2 1
2 3 3
1 2 0
0 1 1
1 2 2
3 0 0
0 2 0
3 1 2
0 3 3
10 5
0 2 1
0 1 0
1 0 1
1 0 0
1 2 2
0 0 2
0 2 0
1 2 0
0 2 2
0 0 1
10 6
2 1 2
2 0 2
1 2 0
1 0 2
1 2 2
0 0 0
2 2 0
0 1 2
0 2 2
0 1 0
10 4
1 1 1
0 2 0
0 2 2
0 1 1
2 2 0
2 1 1
2 2 2
0 1 0
1 0 0
1 1 2
10 5
1 2 1
2 2 1
0 1 0
1 1 0
0 0 2
1 1 1
0 0 1
2 2 0
1 0 0
0 0 0
10 7
0 0 0
0 2 0
0 0 2
0 1 2
0 1 0
2 2 1
1 0 0
1 0 2
0 2 2
2 2 2
10 8
2 1 1
0 0 1
1 1 0
0 1 2
1 2 1
1 1 1
2 1 2
0 2 2
2 2 0
1 0 2
10 8
0 2 3
1 1 3
3 1 1
3 0 2
1 1 0
2 3 2
1 2 3
3 1 0
1 0 3
2 2 3
10 2
1 1 1
0 2 1
1 1 0
0 1 1
0 0 2
1 0 2
0 0 1
2 2 0
2 1 1
1 0 1
10 8
0 0 0
0 0 2
1 2 1
2 0 0
0 1 0
2 0 1
0 2 0
1 1 1
0 2 1
1 2 2
10 5
0 1 1
0 1 0
0 2 1
0 0 1
0 1 2
1 0 1
0 0 0
2 1 2
1 2 0
1 1 0
10 2
3 2 0
0 2 2
1 1 3
1 3 0
1 0 2
1 0 3
2 1 0
0 3 0
0 3 3
1 2 0
10 9
2 2 1
0 1 1
1 1 1
1 0 1
1 2 2
2 1 2
2 2 0
1 1 2
0 0 2
2 2 2
10 7
2 1 2
1 2 1
2 2 0
0 2 2
1 0 0
1 1 2
1 1 0
0 1 0
0 2 0
1 0 2
10 3
2 2 1
1 0 1
3 0 1
0 3 2
2 1 1
2 2 2
1 3 2
0 0 0
0 0 1
3 2 2
10 4
1 1 0
0 1 2
2 1 0
1 1 1
1 1 2
2 0 2
2 2 0
2 0 0
2 2 2
1 0 1
10 9
3 2 1
1 0 3
2 0 0
0 0 2
3 1 0
3 3 3
0 0 3
0 3 0
0 0 1
3 3 1
10 5
1 1 1
0 3 3
2 2 2
2 1 0
3 3 1
0 0 1
3 3 3
1 0 0
1 1 2
1 3 3
10 8
2 0 2
1 1 1
0 1 0
2 0 1
0 0 0
1 1 0
1 2 1
0 0 1
1 2 0
0 1 2
10 3
0 0 1
1 0 2
2 2 0
0 1 1
1 1 0
2 1 2
1 0 0
0 0 0
1 2 1
0 2 2
10 4
0 1 0
2 1 1
2 2 0
0 0 1
1 1 1
2 1 0
1 2 0
1 2 1
0 1 2
0 2 1
10 2
0 0 2
1 0 0
1 1 0
0 1 2
0 1 0
1 1 1
1 0 1
2 0 1
0 1 1
2 0 2
10 3
0 1 1
0 2 0
0 0 1
2 2 0
0 2 2
2 1 2
1 1 1
0 2 1
2 1 0
1 1 0
10 5
0 2 0
2 0 2
1 0 2
1 0 1
0 0 2
1 2 1
2 2 1
2 1 0
0 0 0
2 2 0
10 7
3 2 0
3 1 1
1 0 0
0 3 2
1 3 0
1 2 2
2 0 1
3 1 0
0 0 3
2 2 0
10 4
3 1 1
0 1 0
2 2 3
2 0 2
2 1 3
3 3 3
0 2 0
0 3 2
2 1 2
0 0 1
10 4
2 2 1
0 1 0
1 2 0
1 3 2
3 1 3
1 3 3
3 2 3
2 1 0
2 2 2
2 1 1
10 3
2 2 3
2 0 2
1 2 0
1 0 2
1 3 0
3 3 0
3 0 2
2 3 2
3 0 1
0 2 3
10 7
2 2 1
2 1 0
0 2 0
2 0 0
0 2 1
0 2 2
1 0 1
1 0 2
1 2 0
0 0 0
10 7
2 0 1
0 0 0
1 1 2
1 2 2
1 0 0
2 2 1
1 2 0
1 2 1
2 1 2
1 1 0
10 8
0 2 2
2 0 2
2 2 1
1 0 0
0 1 0
1 0 2
2 0 0
1 2 0
2 1 2
2 1 1
10 7
2 1 0
1 1 1
0 0 2
2 0 2
2 2 0
1 2 0
1 0 0
1 2 2
0 2 0
0 0 0
10 9
0 0 0
1 2 2
1 0 2
0 2 0
0 0 2
2 2 0
2 2 1
2 2 2
2 1 2
1 0 1
10 2
0 2 2
1 1 2
0 2 0
2 0 0
2 2 1
1 1 0
2 1 2
2 1 0
1 2 1
2 2 0
10 5
2 0 3
2 1 2
1 1 2
1 1 1
2 3 2
1 0 2
1 2 1
1 2 0
3 2 2
0 2 0
10 8
1 3 2
2 2 1
3 2 1
1 3 1
3 2 2
2 3 3
1 0 3
0 3 3
2 2 0
3 0 0
10 4
2 0 0
2 2 2
0 2 0
2 1 2
0 1 0
1 0 1
1 0 0
0 0 2
0 0 0
2 1 1
10 5
0 3 2
2 2 1
0 1 0
2 0 1
2 2 0
0 0 2
1 2 1
0 1 2
0 3 3
0 3 1
10 3
0 2 2
1 2 3
0 2 0
1 2 1
3 3 0
1 3 0
2 3 1
1 0 3
2 2 2
3 1 3
10 4
1 2 2
0 0 1
1 1 2
2 0 1
2 2 0
1 0 1
2 1 1
2 1 2
2 0 0
2 2 2
10 6
0 2 0
0 3 1
2 2 1
3 2 2
2 0 1
3 2 1
1 0 1
1 0 0
3 0 0
0 3 0
10 7
1 1 0
2 0 0
2 0 1
2 0 2
1 0 0
1 2 1
1 0 1
1 1 1
2 2 2
2 1 1
10 6
2 1 0
1 0 1
1 0 3
2 3 2
3 0 3
3 0 2
3 2 2
3 3 0
3 2 3
0 3 3
10 3
1 2 2
1 1 1
1 0 2
2 1 2
2 0 1
2 0 2
1 1 0
0 0 0
1 2 1
1 1 2
10 4
0 2 3
1 1 0
0 1 1
1 0 1
1 0 0
3 3 1
0 1 2
3 0 3
2 1 1
2 2 2
10 3
0 3 2
1 0 0
0 2 1
0 2 0
1 2 1
3 3 2
1 1 1
0 1 1
2 3 3
2 0 3
10 3
0 3 3
0 2 2
2 1 0
3 3 3
3 1 3
1 3 0
1 2 2
0 2 1
1 2 0
3 1 0
10 3
0 1 0
2 1 2
2 2 0
1 2 1
0 2 1
2 1 1
2 0 0
2 2 1
1 0 2
0 0 0
10 4
2 3 2
1 2 1
1 0 1
1 2 3
2 3 3
2 3 0
2 3 1
1 3 3
0 1 0
0 1 1
10 5
2 1 0
0 0 2
0 2 2
2 2 2
1 2 2
0 1 2
1 1 2
2 0 1
2 2 0
2 0 0
10 2
3 1 3
0 1 2
1 1 0
0 3 2
2 3 2
1 0 0
1 2 1
3 3 3
2 2 3
0 2 2
10 7
2 0 2
1 2 1
0 1 0
0 0 2
0 2 1
1 0 0
1 1 0
1 0 1
1 0 2
2 2 2
10 5
1 0 0
0 2 1
2 3 0
0 3 0
0 3 2
1 0 3
3 0 0
3 3 2
0 2 3
2 1 3
10 9
2 2 2
1 3 1
3 1 3
3 0 1
2 1 3
3 3 2
3 2 0
3 0 2
0 0 0
0 3 1
10 8
3 1 0
3 3 0
1 1 3
0 0 1
0 0 0
3 0 1
3 3 1
1 2 3
3 1 1
1 2 2
10 7
1 1 1
1 0 0
1 2 2
1 0 2
2 0 1
2 2 0
0 2 1
1 2 0
2 0 0
2 0 2
10 3
0 1 2
2 1 0
1 0 1
2 2 2
1 1 1
1 1 2
0 0 0
0 1 0
2 2 0
1 2 2
10 9
1 2 2
1 1 1
1 1 2
0 2 0
0 1 0
2 1 0
2 2 1
0 0 1
2 2 2
0 2 2
10 3
0 1 2
0 2 2
2 1 2
2 0 1
1 2 2
0 0 2
2 0 0
0 2 1
1 0 2
1 0 1
10 6
0 3 0
2 1 3
3 3 3
2 1 2
1 0 3
3 0 1
1 1 2
0 1 1
2 2 0
1 1 0
10 5
2 2 2
0 1 2
1 2 1
0 0 2
0 1 1
2 1 2
0 1 0
0 2 2
2 1 1
2 2 1
10 9
1 2 2
0 0 1
0 1 0
0 1 2
0 0 0
0 2 2
2 2 2
0 2 0
1 2 0
2 2 0
10 9
1 2 2
2 0 0
2 1 2
2 0 1
1 0 0
1 1 0
0 2 2
0 1 1
0 2 1
0 0 2
10 8
0 1 2
1 1 1
0 2 0
0 0 0
0 0 1
2 2 1
1 0 1
0 0 2
2 1 2
2 1 0
10 5
0 0 0
1 0 0
1 0 2
3 3 0
2 3 1
3 0 3
3 0 0
1 1 0
2 0 1
1 3 1
10 4
0 2 1
0 0 2
0 0 0
2 0 1
2 0 2
2 2 0
0 1 0
2 1 2
2 0 0
1 2 2
10 7
2 0 0
1 0 2
2 0 2
0 0 2
1 2 1
1 1 2
0 0 0
0 2 2
1 0 0
2 1 0
10 6
0 2 2
2 2 1
0 1 0
1 0 2
2 0 2
1 0 1
2 1 2
1 2 1
0 0 0
0 0 1
10 5
1 1 2
2 2 2
0 1 2
2 1 2
0 2 2
2 0 1
0 1 0
2 1 0
2 0 2
0 1 1
10 3
0 0 3
0 1 1
3 2 3
2 0 3
1 0 3
2 2 1
2 1 2
1 1 3
1 3 0
0 1 3
10 2
2 0 2
1 2 2
2 2 0
0 1 2
0 2 2
0 2 0
1 2 1
0 2 1
2 1 1
2 2 1
10 3
0 1 2
0 1 0
1 1 2
2 0 2
1 2 1
2 1 1
0 1 1
1 1 1
2 2 0
0 0 2
10 9
0 2 1
0 2 0
0 1 2
0 1 0
0 0 2
2 1 2
0 0 0
2 1 1
1 2 1
0 1 1
10 2
0 0 2
0 0 0
0 0 1
1 0 0
2 1 2
2 1 1
1 1 2
1 1 1
1 2 1
2 1 0
10 9
0 1 1
2 0 1
2 1 2
2 2 1
0 0 2
2 0 2
2 2 2
2 2 0
0 1 0
0 1 2
10 6
1 2 2
2 0 0
0 0 1
1 2 1
0 1 1
1 0 0
2 1 0
2 1 1
2 2 0
0 1 2
10 3
2 2 3
1 2 2
3 2 2
0 3 0
0 1 1
1 3 2
0 2 0
2 0 3
1 2 0
0 3 2
10 8
1 1 1
1 1 0
2 2 0
1 0 2
0 0 2
2 2 2
2 2 1
0 0 0
0 2 2
0 2 1
10 6
3 2 1
0 3 1
1 2 1
1 3 1
0 0 3
1 0 2
1 1 3
3 3 2
3 3 0
2 1 2
10 2
0 3 0
2 2 3
1 2 0
3 2 0
2 0 0
1 2 3
1 0 3
1 2 1
2 0 1
3 3 0
10 2
2 0 0
1 2 0
0 3 1
0 3 2
0 0 3
3 3 1
0 1 2
2 2 2
0 2 0
2 0 1
10 7
2 1 0
1 3 0
0 1 2
1 1 1
3 1 0
0 1 1
2 0 1
3 1 3
3 3 0
2 1 2
10 4
3 3 1
1 1 3
3 1 2
1 0 3
1 2 1
3 1 0
0 3 2
2 3 2
3 0 3
2 1 0
10 3
1 1 2
1 2 2
2 2 0
0 0 0
0 1 1
0 1 2
0 0 2
2 1 1
2 2 1
2 0 2
10 2
0 0 2
1 2 1
2 2 2
2 0 2
1 0 0
0 1 1
2 0 1
0 1 0
2 2 0
2 1 0
10 5
1 0 0
1 2 0
0 2 2
0 1 1
2 1 1
1 0 1
2 1 0
1 1 2
1 1 0
0 0 0
10 8
2 0 3
2 3 3
0 3 2
3 1 0
0 2 3
1 2 0
3 2 1
3 1 3
2 1 1
1 3 0
10 7
1 0 2
2 0 2
2 2 2
2 2 1
1 0 1
0 2 2
1 1 0
1 0 0
1 2 1
0 0 0
10 3
0 1 0
1 0 2
2 0 1
0 0 2
0 0 1
0 1 2
0 2 1
2 1 2
0 0 0
0 1 1
10 4
0 0 1
0 3 0
1 3 3
2 3 3
1 0 3
3 0 0
3 3 2
1 3 2
0 1 0
1 1 3
10 8
0 1 2
1 1 2
0 2 0
2 0 0
2 2 1
0 1 0
1 0 1
2 2 2
0 0 1
2 1 0
10 2
3 3 2
1 1 2
0 2 0
1 2 1
3 1 0
1 3 0
1 2 0
1 2 2
3 2 1
1 3 3
10 5
0 2 1
3 2 0
3 1 2
2 2 2
1 1 0
1 2 1
3 2 2
2 3 2
3 0 2
2 2 3
10 5
0 1 2
1 2 0
1 2 1
0 1 1
1 1 1
2 0 0
1 0 2
2 0 2
2 2 0
0 2 0
10 7
2 1 1
0 2 2
0 0 2
0 0 0
2 0 0
1 2 1
2 1 2
1 0 0
2 2 0
0 1 1
10 5
0 1 2
1 2 0
1 1 2
2 0 2
2 0 1
0 1 0
0 2 0
2 2 1
1 0 0
0 2 2
10 3
2 0 0
2 0 2
0 0 2
0 0 1
1 2 0
2 2 0
1 0 1
0 1 1
1 0 2
1 2 2
10 2
2 1 1
0 1 0
0 3 2
1 3 1
1 3 0
0 3 1
0 0 0
1 2 2
1 1 1
3 0 2
10 3
3 0 0
2 1 1
3 3 1
0 0 2
3 1 3
2 0 0
1 3 2
1 2 2
1 3 0
2 0 3
10 6
3 0 1
0 3 0
2 3 2
0 2 0
3 1 0
0 1 2
1 2 0
2 1 2
2 1 0
3 3 2
10 6
1 1 1
2 0 2
0 2 2
0 0 2
2 1 0
0 1 2
2 0 1
0 1 0
1 0 2
1 2 2
10 6
0 2 2
2 3 2
1 1 2
2 3 3
0 3 1
3 3 1
2 1 3
1 1 1
3 2 1
2 0 0
10 4
2 0 0
3 3 3
1 1 0
2 0 1
3 3 2
0 3 2
2 0 3
2 2 1
0 1 1
1 0 0
10 3
2 0 1
2 1 2
2 1 0
2 2 0
2 0 0
2 2 2
1 2 2
0 2 1
0 1 1
2 0 2
10 5
3 1 0
1 2 3
3 1 1
1 3 1
0 2 0
1 1 1
3 1 2
1 1 3
1 2 0
3 2 2
10 3
2 1 0
1 1 2
1 1 1
0 2 1
2 0 1
0 1 0
0 2 2
1 2 0
0 0 1
0 1 1
10 4
0 1 2
2 2 0
0 1 0
0 1 1
1 0 1
1 2 2
0 2 2
2 0 1
2 2 1
1 2 1
10 2
2 1 2
0 0 0
1 1 2
0 1 1
1 1 0
1 2 0
1 0 0
2 2 1
1 2 1
0 1 2
10 6
0 0 1
1 0 2
2 0 2
0 0 2
1 0 1
0 1 2
0 1 0
1 1 1
1 0 0
1 1 0
10 4
1 0 2
0 2 1
1 2 0
1 1 0
0 1 2
0 2 2
2 2 1
2 1 1
2 1 0
0 0 0
10 2
1 0 0
0 0 1
2 2 1
1 2 2
2 1 2
2 2 2
2 0 2
0 1 1
1 0 2
2 1 1
10 8
3 3 1
3 2 3
3 1 1
3 1 3
1 3 3
0 3 3
3 2 2
2 0 2
0 3 0
3 2 0
10 6
0 1 0
1 0 0
0 0 1
2 2 2
1 1 0
2 2 1
1 2 0
1 1 2
0 1 2
1 0 1
10 8
2 3 1
3 3 2
2 0 3
3 2 0
2 0 2
1 0 3
0 1 3
3 3 0
2 1 2
1 3 0
10 3
0 1 1
3 0 3
2 3 1
0 2 3
0 1 0
1 2 1
0 3 0
3 2 0
2 0 1
1 3 3
10 3
0 1 0
1 1 1
2 1 0
2 2 2
1 0 2
0 0 0
0 1 1
1 0 0
1 0 1
1 2 2
10 9
0 0 1
2 0 2
0 1 0
2 1 1
1 0 2
1 1 2
0 2 2
2 1 2
1 1 0
0 0 2
10 9
1 2 1
2 0 0
0 2 1
0 0 1
0 0 0
2 1 2
1 2 0
1 2 2
1 1 0
2 1 1
10 3
2 2 2
1 0 0
2 1 2
1 1 0
0 2 0
1 0 1
0 1 0
0 0 0
2 0 1
1 1 2
10 4
2 1 2
1 0 2
2 2 0
2 0 0
0 0 1
1 2 0
0 2 1
1 2 2
2 1 0
0 2 0
10 4
0 1 2
0 2 0
1 0 1
2 2 0
2 2 2
1 2 1
2 0 1
0 0 2
0 0 1
2 2 1
10 2
0 2 2
1 1 1
1 2 0
2 2 2
0 1 0
1 0 0
2 0 0
2 1 0
0 0 1
0 0 2
10 3
3 1 2
3 0 2
0 2 3
2 2 2
2 1 1
1 3 2
2 1 0
1 0 2
0 0 3
2 1 3
10 7
3 1 3
3 0 3
2 0 0
1 3 0
2 3 1
0 1 3
3 2 0
0 1 2
2 3 3
0 0 1
10 4
0 0 2
0 1 0
1 1 2
2 0 1
0 2 0
1 2 1
0 2 2
0 1 2
1 2 0
2 2 2
10 9
3 2 1
3 3 0
2 3 0
1 0 2
2 3 3
0 3 0
2 1 1
1 0 1
1 1 0
1 1 2
10 7
1 0 0
0 2 0
2 3 0
0 0 3
1 1 3
1 3 3
0 0 1
3 1 2
2 2 0
0 2 2
10 7
2 2 1
1 1 0
0 0 2
1 3 1
0 2 2
1 2 3
1 2 2
1 1 2
0 1 3
1 2 1
10 9
1 2 2
2 0 2
0 0 0
1 2 0
1 0 1
2 1 1
1 0 0
0 1 1
0 1 2
0 2 2
10 6
1 2 0
2 1 2
1 0 1
0 2 0
2 0 1
0 0 2
2 2 0
2 1 1
2 2 2
2 0 0
10 6
2 0 0
2 1 0
0 1 3
2 1 1
2 2 1
2 3 3
3 2 3
0 0 0
1 0 2
3 0 0
10 4
2 2 3
2 3 1
1 0 3
2 1 2
0 2 0
2 2 0
2 3 2
0 0 1
0 0 3
1 1 0
10 7
0 1 3
3 3 2
1 2 2
0 0 0
0 2 2
2 3 1
3 0 0
2 1 0
2 0 0
2 1 3
10 9
0 3 0
2 0 0
1 1 3
3 3 0
2 3 1
1 1 1
1 2 0
1 3 0
3 2 2
1 2 3
10 4
1 0 2
2 0 1
2 0 0
0 1 1
2 2 1
0 1 2
1 0 0
2 2 2
0 2 2
0 2 1
10 9
2 1 1
1 2 0
0 1 0
2 2 2
0 2 1
1 0 2
0 1 2
1 1 2
2 1 2
0 0 2
10 4
2 2 0
1 0 2
1 0 1
2 1 1
1 1 0
2 0 1
0 1 2
2 2 1
2 0 0
1 2 2
10 5
1 0 1
0 2 2
2 1 2
0 0 1
1 2 0
2 1 1
2 1 0
0 1 0
2 2 0
0 2 0
10 2
0 3 3
2 3 3
0 2 2
1 3 0
1 0 1
1 2 0
3 2 2
0 2 3
0 0 3
3 0 2
10 3
2 1 2
0 2 0
0 0 2
2 2 0
2 0 1
0 0 1
1 0 0
2 0 0
2 1 0
0 1 2
10 4
1 0 0
2 2 2
0 0 1
1 2 1
1 1 1
1 1 2
2 0 0
0 2 0
1 0 2
0 1 0
10 5
2 1 0
0 3 1
3 0 2
0 1 3
0 0 0
0 2 0
2 2 1
3 3 3
2 0 0
0 3 0
10 4
1 2 1
2 2 1
0 1 2
2 1 2
0 2 1
1 1 2
1 1 0
0 2 0
2 0 0
0 0 2
10 6
1 1 1
2 2 0
0 2 1
0 0 1
1 2 2
0 2 2
1 0 0
2 1 0
0 1 1
0 1 0
10 8
0 0 0
1 1 3
0 1 2
0 1 3
2 1 0
3 1 0
2 2 2
1 0 1
2 0 3
1 2 0
10 2
0 1 1
2 2 0
2 1 0
0 1 0
2 0 2
2 2 2
1 1 2
0 2 0
1 0 1
2 0 0
10 4
0 3 3
1 3 0
0 0 3
1 0 1
2 3 1
0 1 3
0 3 2
3 3 3
2 1 0
0 2 2
10 7
2 2 0
2 1 2
1 1 0
0 1 3
3 3 3
3 0 1
1 3 3
1 1 2
3 0 3
0 0 2
10 5
2 0 0
0 0 1
2 1 2
2 2 1
1 1 2
0 2 1
2 2 0
2 1 1
2 0 1
0 2 0
10 9
2 1 1
0 0 2
1 1 0
0 1 3
1 0 3
0 3 0
0 3 1
2 1 0
3 0 2
0 0 3
10 2
3 3 1
2 1 1
0 3 2
1 0 2
0 0 3
0 1 3
2 0 2
3 2 1
1 3 1
2 2 3
10 9
1 0 0
2 2 0
1 2 0
0 1 0
0 1 1
0 2 2
0 0 0
2 0 2
2 2 2
2 2 1
10 2
2 1 1
0 3 3
0 3 0
0 1 3
0 2 0
3 1 0
3 3 3
2 3 0
3 2 1
3 2 0
10 4
1 3 2
0 0 0
2 2 3
0 2 1
2 1 2
1 1 3
1 2 1
3 2 3
3 1 1
3 0 0
10 6
2 3 3
2 0 1
0 0 2
2 2 0
1 3 2
3 2 0
3 1 1
3 3 1
1 3 3
1 1 2
10 7
3 1 2
2 2 1
0 0 1
1 3 0
1 2 1
0 2 2
0 1 3
3 3 3
1 3 2
3 1 3
10 4
1 1 2
2 0 1
2 0 0
0 1 1
0 0 1
2 2 2
0 1 0
2 2 0
0 0 2
0 2 2
10 7
1 1 2
0 1 2
2 3 3
2 2 2
0 2 0
0 3 0
2 3 1
1 0 0
2 3 0
3 2 0
10 4
2 0 3
0 1 0
1 2 2
0 2 2
3 3 3
1 3 0
1 1 0
3 2 0
0 2 0
0 3 3
10 9
0 0 2
3 1 0
1 0 3
1 1 2
0 2 0
3 0 2
1 3 0
0 3 3
3 1 3
3 3 2
10 5
3 0 0
0 3 2
1 3 0
3 1 2
3 0 3
2 3 3
2 1 1
1 1 2
1 2 0
2 2 3
10 7
0 2 2
2 1 2
1 1 0
0 1 1
0 1 2
2 0 2
2 1 0
0 2 0
1 1 2
2 2 2
10 9
1 1 2
1 0 0
0 2 3
1 2 1
2 1 3
1 3 3
2 2 3
3 3 0
0 1 0
2 2 0
10 7
1 1 2
2 2 1
1 0 2
0 0 0
2 0 0
0 2 2
1 0 0
2 1 2
0 1 1
2 1 0
10 8
2 0 0
2 0 2
2 2 1
1 0 0
0 2 2
0 0 1
0 1 1
1 0 2
1 2 0
0 2 1
10 5
2 2 3
3 0 1
3 2 0
1 1 2
3 1 0
3 2 2
0 1 0
2 1 2
0 2 0
0 3 2
10 3
1 0 2
2 0 0
2 2 1
1 1 0
2 0 2
2 2 2
1 1 1
2 1 0
0 1 2
1 2 2
10 4
1 2 0
2 0 2
2 2 0
0 2 2
1 1 0
2 1 1
0 1 1
2 2 1
1 2 1
1 1 1
10 6
3 1 1
1 3 3
1 0 3
3 2 1
0 0 3
3 3 3
1 0 0
2 1 2
2 2 2
3 3 0
10 6
2 2 2
0 1 1
1 1 1
1 2 2
0 0 2
1 0 2
0 1 2
2 1 2
1 1 2
0 2 2
10 9
3 0 3
3 0 1
3 3 2
2 0 3
0 2 2
2 1 2
1 2 2
2 3 0
0 3 2
0 2 0
10 6
0 1 2
0 1 1
0 2 1
0 2 0
1 2 1
0 2 2
2 0 2
2 1 0
2 2 0
2 2 2
10 5
2 0 2
1 0 2
2 2 1
1 1 1
0 0 2
0 1 1
2 0 0
0 1 2
2 0 1
1 2 0
10 5
1 0 2
2 2 2
0 1 1
0 2 2
2 0 1
1 1 2
2 2 1
2 0 2
0 2 0
1 0 1
10 7
0 0 0
2 1 1
0 1 1
2 2 1
0 0 2
2 0 1
1 0 1
2 1 2
0 1 2
0 2 2
10 6
0 2 1
1 2 0
1 0 0
0 0 0
0 0 1
2 0 2
1 0 1
1 0 2
2 1 0
1 2 2
10 9
2 0 0
1 0 1
0 1 0
2 2 0
1 1 2
1 1 0
0 0 2
0 2 1
2 0 1
0 1 1
10 9
1 1 1
1 0 1
1 2 0
2 0 1
1 2 2
2 0 0
0 0 2
2 1 1
2 2 0
1 0 0
10 8
2 2 1
2 2 2
0 1 0
0 0 1
2 1 1
0 1 2
1 1 0
0 1 1
2 1 0
0 2 2
10 5
2 1 2
1 0 2
2 2 1
2 1 0
0 2 1
2 0 1
2 1 1
0 1 2
0 0 0
0 0 2
10 9
2 0 0
0 2 2
2 1 2
1 0 1
1 2 1
1 0 0
1 1 0
1 0 2
2 0 2
0 1 1
10 5
2 2 0
0 1 2
0 1 1
0 2 1
2 1 1
1 1 0
0 0 0
1 2 1
2 0 2
1 2 2
10 7
0 2 2
0 0 1
1 1 0
2 2 2
2 1 1
2 2 1
0 1 0
2 2 0
0 1 1
1 2 1
10 2
0 0 1
2 1 1
1 2 2
1 1 2
2 1 0
0 2 0
2 2 0
1 0 0
0 2 1
1 0 1
10 9
2 0 1
0 0 1
1 1 1
2 2 2
1 0 1
2 1 1
0 0 2
0 2 0
0 1 2
2 2 0
10 4
1 1 0
2 1 2
2 0 2
0 0 0
1 2 2
1 2 1
0 2 2
0 2 1
0 0 1
2 0 0
10 2
2 0 0
3 3 0
0 3 0
3 3 3
3 0 2
3 0 0
0 2 0
2 1 1
0 0 3
2 2 0
10 2
2 1 0
0 0 1
2 0 0
1 3 1
3 1 3
3 3 1
0 1 1
0 3 2
2 3 3
0 1 2
10 7
0 0 2
2 1 0
1 2 2
1 0 1
0 0 1
1 2 0
2 2 1
1 1 1
1 2 1
2 0 0
10 8
0 3 1
3 0 0
0 2 2
2 0 1
1 1 3
1 1 1
3 2 0
0 0 1
3 2 3
3 2 1
10 7
0 0 2
1 2 0
2 0 2
1 0 2
1 1 1
0 0 1
0 1 2
2 0 1
2 2 0
0 1 1
10 5
1 0 3
3 2 0
0 2 1
3 3 1
2 1 1
0 2 0
1 3 1
3 3 2
2 1 3
3 0 2
10 7
1 0 2
1 2 1
0 2 1
1 2 0
1 1 0
1 0 1
0 2 2
2 1 0
2 0 1
0 0 0
10 2
1 1 2
0 0 0
0 2 2
0 1 0
1 1 0
1 2 1
2 1 1
0 2 1
1 0 1
1 2 2
10 6
0 2 0
1 2 0
1 0 3
3 2 1
1 2 3
0 3 1
0 0 3
3 3 2
1 0 2
0 1 2
10 5
1 1 1
2 0 1
0 0 2
2 0 2
2 1 0
2 1 2
1 0 0
1 0 1
1 2 1
0 1 1
10 7
0 1 0
0 0 0
0 2 0
1 0 1
1 1 0
1 0 0
0 1 1
2 2 2
1 1 2
0 2 2
10 2
1 3 2
1 1 2
0 0 1
3 3 1
3 3 3
3 1 0
1 1 3
0 0 2
3 2 1
1 0 3
10 3
2 2 2
0 2 2
0 2 0
1 0 1
2 0 1
2 1 1
0 1 1
0 1 0
2 2 0
0 0 2
10 4
0 2 0
2 0 2
1 0 0
1 2 1
1 0 1
1 2 2
1 2 0
2 1 0
0 1 0
0 1 2
10 6
2 2 2
1 0 2
0 0 0
1 2 1
0 1 0
1 0 0
2 1 1
0 0 1
0 2 1
2 2 1
10 6
0 0 2
0 1 0
0 1 2
0 0 0
0 0 1
1 2 0
0 2 0
0 2 1
2 1 2
2 0 1
10 5
2 1 1
2 1 2
1 1 1
1 1 2
2 2 1
0 2 0
1 2 0
2 1 0
0 1 1
2 0 2
10 5
0 0 1
0 0 2
1 0 2
1 0 0
1 1 1
1 1 2
0 2 0
2 2 1
0 2 2
2 0 1
10 4
0 3 1
3 0 2
1 1 3
2 0 2
0 0 2
1 1 2
2 2 0
3 1 1
0 3 3
0 0 0
10 6
1 0 1
1 0 2
2 1 3
0 1 2
1 1 0
2 2 3
2 2 2
1 2 0
3 3 2
2 1 2
10 7
2 0 1
1 1 1
2 0 0
2 1 2
0 1 2
0 1 0
0 0 1
0 0 0
2 2 2
1 2 1
10 4
2 2 0
2 2 3
1 1 1
3 1 3
1 2 1
1 1 2
0 1 1
1 0 0
3 2 3
1 0 3
10 2
0 2 0
1 0 1
1 1 2
0 0 2
0 1 2
2 1 2
0 1 0
2 0 0
1 1 1
2 1 1
10 9
2 0 1
2 2 2
1 0 1
1 2 0
0 0 1
1 1 1
1 1 0
0 0 2
0 1 0
2 1 0
10 2
2 1 2
0 2 0
3 3 2
1 0 3
0 3 1
1 0 1
1 1 2
1 1 1
2 3 1
2 2 2
10 7
0 1 1
1 1 0
2 0 0
1 0 2
2 2 2
1 0 1
0 0 2
2 1 0
2 2 1
2 1 2
10 5
2 2 0
1 0 0
2 1 1
1 0 1
1 2 2
0 1 0
0 0 0
1 2 1
1 1 2
0 0 2
10 6
2 2 1
0 0 0
1 2 2
2 1 1
1 1 1
0 1 1
0 0 1
2 2 0
2 0 2
1 2 1
10 4
1 3 2
0 1 3
3 0 1
2 0 0
0 0 1
1 1 2
0 1 2
0 1 0
2 1 0
2 0 2
10 6
1 2 0
3 0 0
1 0 1
3 0 2
1 2 1
1 2 2
2 2 2
0 3 1
1 2 3
1 3 0
10 2
0 2 0
0 1 3
3 2 1
3 0 0
1 2 0
0 3 2
3 0 1
2 3 1
2 3 2
2 2 3
10 6
2 2 1
0 1 2
1 0 0
2 1 2
1 2 2
1 1 0
2 0 2
0 2 2
1 0 1
0 0 1
10 9
1 1 3
2 2 2
0 0 3
0 1 3
2 1 3
1 3 2
2 3 0
2 2 1
2 2 3
0 2 2
10 3
3 1 2
3 1 3
2 0 1
3 0 3
3 2 1
1 2 0
0 3 2
0 2 2
1 0 3
0 2 1
10 4
3 1 3
2 1 0
2 2 3
1 1 1
3 2 3
2 1 3
2 2 1
1 2 3
2 3 1
0 1 2
10 8
1 2 1
0 2 0
0 0 0
1 0 0
2 1 2
1 1 1
2 0 2
2 2 1
1 2 2
1 1 0
10 2
0 3 3
0 2 1
0 0 2
3 2 2
2 3 2
0 1 3
1 3 1
2 0 0
2 3 3
3 1 3
10 5
1 0 0
0 0 2
1 2 0
1 1 1
1 1 0
3 0 3
0 3 1
0 1 3
2 2 3
0 2 3
10 3
1 2 0
0 0 0
2 2 2
0 1 2
0 0 2
2 1 1
0 2 1
1 2 1
2 2 0
0 1 0
10 4
2 2 1
0 2 0
2 2 2
0 1 1
2 2 0
2 0 1
1 0 0
1 0 1
2 1 0
2 0 0
10 8
2 1 1
1 2 0
1 0 1
2 0 0
0 0 1
0 1 1
0 0 0
2 2 0
1 0 2
2 2 1
10 6
2 1 1
1 1 0
1 0 2
2 0 2
1 2 2
0 0 2
2 0 1
1 2 1
0 2 2
1 0 1
10 3
2 2 1
0 2 0
2 0 2
1 0 1
2 1 1
0 2 2
2 0 0
1 1 0
1 0 2
0 2 1
10 9
0 1 2
2 2 0
0 0 1
1 1 1
0 1 0
2 1 1
0 2 1
1 0 0
1 1 2
2 0 1
10 8
3 1 2
0 2 0
3 3 2
0 3 0
3 0 3
3 3 0
0 0 2
3 2 2
1 0 2
2 1 2
10 8
2 0 2
1 1 0
2 1 1
2 0 0
2 0 1
1 0 0
0 1 0
0 2 0
1 2 0
0 2 2
10 5
1 3 1
3 1 0
3 1 1
1 1 3
2 0 1
3 3 3
1 3 0
3 1 3
0 0 0
3 0 0
10 8
1 2 1
1 0 1
2 2 2
2 1 2
1 1 1
1 1 0
2 0 1
2 0 0
1 2 2
0 2 0
10 6
1 2 2
0 1 3
2 0 2
1 3 3
1 0 0
3 0 1
2 0 0
2 3 1
3 3 2
1 3 0
10 3
2 2 1
0 1 0
2 0 0
2 1 2
1 2 0
1 2 2
0 1 2
0 2 2
1 1 0
0 2 0
10 5
2 0 2
0 2 2
1 2 1
0 2 0
0 1 1
2 0 0
0 0 2
1 0 2
1 2 0
0 0 0
10 4
1 3 2
2 0 0
0 3 3
1 1 2
0 0 2
2 2 2
0 2 0
0 0 1
1 2 1
3 3 3
10 4
1 2 2
2 2 1
2 3 0
0 2 0
3 2 1
1 3 0
1 2 1
3 1 2
1 2 3
2 0 1
10 6
2 1 1
1 0 2
2 2 0
0 0 0
0 1 0
2 2 1
1 2 2
1 1 0
2 2 2
2 1 0
10 6
0 2 2
1 1 0
0 0 2
0 2 1
0 1 0
0 0 1
2 1 1
1 2 2
1 2 0
2 2 1
10 9
0 3 2
1 0 0
1 3 1
2 0 2
3 0 0
1 1 1
2 2 1
1 0 3
2 0 0
3 1 3
10 6
2 1 1
3 0 3
1 0 3
3 1 1
0 1 2
1 3 3
0 0 1
0 0 0
0 2 1
1 1 3
10 2
0 0 1
0 0 2
1 2 2
2 0 2
0 0 0
2 0 1
2 2 1
0 2 1
1 2 0
2 0 0
10 2
0 1 1
2 0 1
1 1 1
1 2 1
1 2 0
1 0 2
0 0 1
0 2 2
0 2 1
1 1 2
10 9
0 1 0
1 1 2
1 0 1
0 2 0
2 0 0
2 2 0
2 1 2
0 0 2
1 2 1
2 1 1
10 9
3 1 0
2 2 1
3 2 2
2 0 0
3 0 2
1 3 1
2 0 1
1 2 0
3 1 3
0 0 1
10 2
0 1 3
2 3 0
0 1 2
3 1 2
1 3 1
1 1 0
3 1 3
1 2 0
2 2 2
3 1 1
10 9
1 0 2
0 2 2
0 1 2
0 2 1
0 2 0
2 0 2
2 2 0
2 1 1
2 2 1
1 1 1
10 6
0 1 1
3 2 3
2 0 1
3 3 3
2 1 1
0 3 1
3 1 0
0 0 1
1 3 3
1 2 1
10 6
1 1 0
0 0 0
3 3 0
3 1 2
0 2 0
3 1 0
3 0 0
2 3 0
2 0 0
3 2 2
10 9
1 0 2
2 2 1
0 1 2
1 2 2
0 0 2
2 1 1
0 2 1
0 2 0
0 2 2
2 2 2
10 3
2 0 2
2 2 2
0 0 2
1 0 2
0 1 2
1 0 1
0 1 1
0 2 0
1 1 0
2 2 0
10 7
0 2 1
0 1 2
0 1 1
1 1 1
1 0 0
2 0 1
0 2 0
0 1 3
2 2 0
3 2 0
10 7
2 1 0
1 1 1
0 0 2
0 0 1
2 2 1
1 2 1
1 2 0
0 1 1
2 0 0
1 1 0
10 7
2 2 0
2 2 2
0 1 2
1 2 1
2 2 1
1 1 1
2 1 1
1 2 2
2 1 2
0 2 1
10 9
2 2 2
0 1 0
1 0 1
1 0 0
0 0 0
1 2 0
0 2 2
0 0 1
1 1 1
1 1 0
10 8
2 2 2
0 3 2
3 0 3
2 0 2
1 2 2
1 1 1
2 3 1
0 0 3
1 3 3
1 0 3
10 4
0 0 0
2 0 1
1 1 2
2 0 0
1 1 0
2 2 2
1 0 0
0 2 1
1 0 2
0 0 1
10 6
0 0 0
0 2 0
2 1 0
0 0 2
1 1 0
1 2 2
0 0 1
1 0 0
2 2 0
2 1 1
10 5
2 2 2
1 2 0
1 0 2
0 0 0
1 1 0
0 2 1
2 0 2
0 1 1
0 0 1
1 0 1
10 9
1 2 0
2 1 0
0 0 0
0 2 0
1 2 1
1 0 0
0 0 1
2 0 0
2 0 1
1 1 0
10 4
0 2 0
1 2 1
0 3 3
1 2 0
1 1 3
1 3 2
3 3 1
0 2 2
3 2 3
1 0 2
10 4
2 1 2
3 3 1
2 3 1
1 1 3
3 1 3
1 2 1
2 1 1
1 0 0
0 1 3
0 1 1
10 6
2 3 1
3 3 0
3 1 3
1 1 0
1 3 2
3 0 0
1 2 0
2 1 0
3 2 0
2 2 2
10 7
1 2 1
1 0 0
1 2 0
2 0 0
2 1 0
0 0 0
1 2 2
2 2 1
1 0 2
0 0 2
10 7
0 2 1
0 0 2
1 1 0
0 1 2
2 2 2
2 0 1
1 2 2
0 1 1
2 1 2
2 1 0
10 3
2 1 2
0 2 2
1 2 2
2 0 2
2 1 0
2 1 1
2 2 1
1 1 2
2 0 0
1 2 0
10 2
0 2 1
0 0 1
0 0 2
2 0 0
1 1 1
1 1 2
2 2 2
2 2 0
1 1 0
2 0 1
10 3
3 2 3
3 0 0
0 1 2
0 3 3
3 3 3
3 3 0
3 0 3
2 0 0
1 2 3
3 1 1
10 2
1 0 3
1 0 0
0 1 2
3 0 1
1 3 3
0 2 1
2 3 0
1 3 2
3 2 0
0 3 2
10 7
3 3 3
2 3 1
2 2 0
2 0 2
0 0 0
0 2 1
1 3 2
2 3 2
1 2 3
2 3 3
10 8
2 1 2
2 2 2
1 2 2
2 0 1
1 1 2
0 2 1
0 1 1
0 2 0
2 1 0
1 2 0
10 8
2 2 2
0 1 1
1 1 0
1 2 0
0 2 2
0 2 0
2 1 0
1 1 1
0 0 1
2 0 2
10 8
0 2 2
2 0 0
2 2 1
1 2 0
2 0 2
2 1 1
2 0 1
1 2 2
0 1 1
0 0 1
10 2
1 1 1
3 0 1
0 1 0
2 3 0
1 0 2
1 1 0
3 3 1
3 2 1
3 0 2
2 2 3
10 8
2 2 3
2 1 2
2 1 0
2 3 1
3 3 3
1 2 3
3 3 1
0 2 2
0 0 2
3 0 3
10 6
2 0 0
2 1 3
1 0 1
1 1 0
0 1 3
1 2 1
0 2 1
1 0 0
0 2 2
2 1 1
10 9
0 3 1
2 2 2
3 1 1
3 0 0
3 1 0
0 3 2
3 2 2
3 1 3
3 2 1
0 2 3
10 3
1 1 0
1 1 2
1 2 1
0 1 1
1 0 1
2 1 2
2 0 0
0 1 0
0 0 2
0 0 0
10 6
1 0 2
1 1 2
3 1 2
0 1 0
1 3 0
3 2 3
0 1 2
0 1 1
3 2 2
2 3 3
10 4
2 1 2
2 0 2
1 0 1
0 2 2
2 1 1
1 2 1
1 2 2
0 2 0
0 0 1
2 2 1
10 4
1 0 1
1 0 0
0 1 0
2 2 1
0 1 1
0 0 1
1 1 0
0 2 2
0 2 1
2 0 0
10 8
2 0 2
1 1 2
1 0 2
1 2 1
2 1 0
2 2 1
1 0 0
1 2 2
0 1 1
0 0 1
10 2
1 0 2
0 0 1
1 1 1
2 2 0
2 0 0
0 1 2
2 1 2
1 2 1
0 0 2
1 0 0
10 5
1 2 2
2 1 2
3 1 2
1 2 0
0 2 3
3 1 0
1 0 3
2 0 2
3 2 2
1 1 1
10 6
2 3 1
1 2 2
3 2 0
2 2 1
0 0 0
1 3 2
1 1 1
3 3 3
2 1 3
2 2 0
10 7
0 0 0
2 0 0
0 3 1
0 0 1
1 2 1
2 0 3
0 3 2
1 1 3
3 2 1
3 3 2
10 6
1 1 1
0 0 2
2 1 0
1 1 2
2 2 0
1 0 2
1 2 1
1 1 0
0 2 0
0 0 1
10 4
0 0 0
0 2 0
1 0 0
0 0 1
1 0 1
2 0 2
0 1 0
2 1 1
0 2 1
1 1 1
10 2
1 2 2
0 2 1
1 0 0
0 1 0
0 0 2
1 2 0
1 2 1
1 1 1
1 1 2
0 0 1
10 9
0 0 1
1 0 1
2 2 0
1 0 2
1 2 1
2 2 2
0 2 0
1 1 2
1 0 0
1 1 1
10 2
1 1 0
0 1 1
2 2 2
0 2 0
1 2 1
2 1 0
0 1 2
1 2 2
0 2 2
0 2 1
10 4
2 1 1
1 2 2
0 1 1
0 2 1
1 1 1
2 1 2
2 0 0
2 0 1
0 0 0
1 0 2
10 4
1 0 1
0 2 2
0 0 2
2 1 0
1 1 1
0 2 0
2 0 0
0 2 1
1 0 0
2 2 0
10 7
2 2 2
1 0 2
2 1 1
2 0 2
2 0 1
1 1 2
0 0 2
0 0 1
0 2 1
1 2 2
10 5
0 0 3
3 0 3
0 0 1
2 2 1
1 1 1
3 2 2
0 2 2
0 2 3
0 2 0
3 1 3
10 8
3 2 2
2 2 2
2 0 1
1 1 3
1 0 3
3 2 0
0 2 3
3 1 0
0 2 2
0 0 1
10 5
3 2 3
1 2 2
1 1 1
0 2 1
3 2 1
1 0 2
2 3 1
1 1 3
1 3 2
2 0 0
10 9
0 0 1
1 2 1
0 1 2
0 2 2
2 2 1
1 0 1
0 1 0
1 2 2
0 0 2
2 2 2
10 8
1 1 3
0 1 1
0 2 0
2 1 2
2 1 0
3 1 2
0 3 0
3 1 0
1 2 1
2 2 0
10 5
3 1 1
0 0 3
1 0 3
3 3 2
2 0 3
0 3 0
3 2 2
3 3 0
0 2 0
0 0 0
10 3
2 0 1
1 3 0
3 1 0
0 1 2
0 3 3
3 3 1
0 2 0
3 0 0
1 3 1
1 1 1
10 8
1 3 3
2 1 1
0 0 0
1 2 2
3 2 3
2 3 3
1 3 0
2 1 0
2 0 1
2 3 2
10 8
3 3 2
2 2 0
1 1 0
3 0 3
2 0 3
3 1 0
1 1 2
1 1 3
1 0 0
3 1 2
10 9
2 2 0
0 0 0
3 2 3
2 1 1
1 0 3
2 2 3
3 2 1
2 3 0
3 0 2
0 0 1
10 5
0 0 1
1 2 2
1 0 2
2 0 0
0 1 0
2 0 1
1 2 1
2 1 0
1 0 1
2 2 2
10 5
2 3 0
2 2 3
1 3 2
3 2 2
0 2 3
3 3 1
1 1 0
1 3 3
0 0 0
0 3 0
10 6
2 0 2
1 1 1
0 1 0
1 1 2
2 2 0
1 2 2
0 0 2
2 0 1
0 0 0
2 0 0
10 6
2 2 3
3 0 3
2 1 2
3 3 3
0 2 3
1 2 2
2 1 0
0 0 0
2 1 1
3 3 1
10 5
1 2 2
1 0 1
2 2 1
2 2 2
2 2 0
1 2 1
1 0 2
2 1 2
0 0 0
1 1 1
10 3
2 2 2
1 2 2
0 0 2
0 2 0
2 1 2
0 1 0
0 0 0
0 2 2
2 2 1
1 2 1
10 9
0 2 0
0 1 0
1 1 2
2 0 0
0 2 2
1 1 0
1 1 1
1 0 2
2 2 1
1 2 2
10 4
0 2 0
0 1 0
1 2 2
2 0 1
0 0 0
2 0 0
1 2 1
2 1 1
0 2 1
2 2 2
10 9
3 0 0
3 0 3
1 0 2
0 0 0
0 1 2
2 1 3
2 1 0
2 0 2
3 2 1
0 2 2
10 4
1 1 0
2 1 1
1 0 2
1 0 0
0 0 1
0 0 2
2 0 0
2 1 0
0 1 1
2 2 1
10 6
2 0 2
2 2 0
1 0 1
2 1 1
2 0 0
2 2 1
1 2 0
2 1 2
0 0 0
1 1 2
10 2
1 1 0
2 2 2
1 2 0
2 1 1
1 0 1
1 2 1
2 1 0
0 1 0
2 1 2
0 2 2
10 3
0 1 0
0 2 2
0 0 0
2 1 2
2 0 1
1 2 2
0 2 1
0 0 1
1 0 2
0 1 2
10 2
2 1 0
0 1 1
2 2 2
0 2 1
1 0 1
0 0 1
1 2 2
1 2 0
1 1 2
1 1 1
10 8
3 2 3
3 0 0
2 2 0
0 3 2
0 2 3
3 3 0
1 0 1
0 1 2
0 0 3
0 3 1
10 2
0 2 1
1 3 0
1 0 1
0 0 0
1 2 1
2 3 0
0 2 2
3 3 3
2 1 3
1 1 1
10 4
1 2 3
3 2 2
2 3 0
3 1 2
1 0 2
0 2 0
2 1 2
3 1 3
3 0 1
2 3 1
10 3
2 2 1
3 3 3
3 1 1
0 1 1
2 0 1
1 0 0
2 3 3
3 2 2
3 0 2
0 1 0
10 2
2 2 0
1 1 0
2 0 1
2 0 0
1 2 1
1 0 2
0 1 2
0 2 2
2 2 1
2 1 2
10 9
0 0 2
2 0 3
3 2 3
0 0 1
1 0 1
1 3 1
0 2 2
0 3 1
0 1 2
3 0 0
10 9
2 2 2
0 0 0
0 2 2
2 1 1
0 0 2
0 2 1
1 0 1
0 2 0
1 0 0
1 1 2
10 8
0 3 1
2 0 0
1 0 0
3 0 0
1 1 2
1 2 1
1 2 3
1 3 1
1 0 2
0 0 3
10 7
1 2 2
1 2 0
1 1 2
1 0 2
1 0 0
1 2 1
2 2 2
0 1 2
0 2 1
0 0 2
10 7
0 2 1
2 2 0
1 0 0
2 2 2
2 1 2
0 1 1
2 1 0
1 0 1
0 0 2
0 0 0
10 2
0 2 1
2 0 2
1 1 1
1 1 2
2 1 1
0 0 2
2 2 0
0 1 0
1 2 1
2 2 2
10 6
2 3 2
0 3 0
1 2 3
1 1 3
2 0 0
1 0 1
0 2 1
2 0 1
2 1 3
3 3 3
10 2
0 2 0
2 0 2
2 0 0
2 1 0
0 0 0
1 1 0
2 1 2
0 0 1
0 1 2
1 1 2
10 6
0 0 2
0 1 0
1 3 3
1 3 1
1 2 1
3 2 3
2 1 0
2 3 3
0 2 2
0 0 3
10 7
2 2 0
1 3 0
1 2 0
2 0 3
0 2 2
1 0 2
0 1 1
3 2 0
0 1 0
2 3 1
10 3
0 2 1
2 2 2
1 2 0
0 1 0
2 2 1
2 1 1
1 0 0
0 1 2
1 1 0
2 2 0
10 3
1 1 1
2 2 0
2 0 1
2 0 2
0 1 2
1 1 0
2 0 0
0 2 0
0 1 0
0 2 2
10 6
1 1 2
1 0 0
2 2 1
0 2 1
2 0 0
2 2 2
1 1 1
2 2 0
2 1 0
0 1 2
10 8
2 0 2
1 2 2
0 1 2
2 1 0
0 1 1
2 2 0
1 1 2
2 0 0
0 1 0
1 2 0
10 7
0 1 2
1 1 0
2 1 1
1 2 0
0 1 0
0 0 2
2 1 2
0 1 1
1 2 2
1 1 2
10 5
0 0 1
2 3 3
2 3 1
0 3 1
0 3 0
2 0 2
2 0 3
1 2 1
2 1 3
1 1 3
10 4
3 2 0
3 2 3
1 2 1
3 1 3
2 1 0
2 2 2
3 3 2
0 0 3
2 0 1
2 1 2
10 8
0 0 0
3 2 2
2 1 0
3 1 0
2 0 0
2 3 1
3 3 1
1 3 1
2 1 3
0 1 3
10 8
0 2 1
1 3 3
3 2 1
3 0 2
3 1 3
0 0 1
3 1 2
3 2 3
0 2 0
2 3 2
10 6
1 2 3
1 3 3
0 3 0
1 3 1
2 0 2
0 3 2
3 0 1
1 2 1
2 2 1
3 2 3
10 6
2 3 3
2 0 2
1 2 0
1 0 2
3 3 3
3 3 2
3 0 3
1 3 3
0 3 2
2 2 0
10 5
0 1 0
1 2 0
2 1 0
2 1 1
2 0 1
1 0 2
0 2 0
0 0 1
1 1 2
1 0 1
10 8
0 0 1
2 0 1
0 1 0
2 0 2
2 1 2
0 2 2
0 2 0
2 2 2
0 0 2
1 1 1
10 7
2 3 0
2 2 0
1 0 0
3 1 2
3 3 1
2 3 1
0 0 3
1 3 3
0 0 2
1 2 2
10 7
1 0 0
3 3 1
1 2 0
0 2 1
2 0 0
1 2 3
3 0 0
1 3 1
1 1 1
0 1 3
10 4
1 0 0
2 0 0
1 2 1
1 2 0
2 1 1
0 2 0
0 1 1
2 2 0
2 0 1
0 1 0
10 7
1 1 2
0 1 1
0 1 0
2 1 2
2 0 0
1 2 0
2 2 1
1 1 0
1 0 0
0 2 0
10 7
0 1 1
1 1 2
1 2 0
1 0 2
1 2 2
0 0 0
2 1 2
1 1 0
1 0 1
0 2 1
10 7
0 3 0
1 1 0
1 3 1
3 3 0
1 2 1
2 1 2
3 1 0
3 1 2
0 2 3
3 3 1
10 9
2 1 1
1 0 2
0 0 2
1 1 0
0 1 0
2 1 2
0 2 2
1 1 1
2 2 2
1 0 0
10 7
1 0 0
0 2 2
1 0 1
1 2 1
2 1 1
1 2 2
2 0 2
1 0 2
1 1 1
1 1 2
10 6
2 0 0
1 0 0
0 1 1
0 2 0
1 1 2
0 2 1
2 2 0
1 0 1
2 2 1
2 0 1
10 7
0 3 3
0 2 1
2 0 1
3 1 2
0 0 3
1 3 1
0 1 1
2 0 3
3 0 3
1 1 2
10 5
1 3 3
3 1 1
2 3 1
3 2 1
0 1 0
0 1 3
3 2 2
3 3 1
1 1 2
3 2 0
10 3
1 2 2
0 0 2
1 1 0
0 0 1
0 2 1
2 1 2
1 0 0
2 0 0
2 2 0
2 0 2
10 9
1 3 1
3 1 1
3 1 0
0 3 0
1 0 2
0 3 1
2 2 2
2 3 2
2 0 3
1 2 3
10 5
1 2 2
2 0 2
0 2 0
2 1 1
2 1 0
0 1 2
0 2 1
2 2 1
1 2 0
2 2 2
10 3
1 3 2
3 3 2
1 0 1
3 0 3
0 2 0
2 2 1
1 3 0
3 1 1
2 0 3
2 1 3
10 9
0 2 2
1 1 1
1 0 2
0 1 1
2 2 2
1 0 0
1 1 2
2 1 2
0 0 1
1 2 0
10 7
0 3 0
2 2 1
0 0 3
0 2 0
2 3 0
3 3 2
1 3 2
3 3 1
0 1 1
2 2 3
10 5
3 0 3
0 1 2
3 1 1
1 1 3
2 1 1
2 3 3
0 3 2
1 1 2
2 2 0
3 0 2
10 6
3 1 0
3 1 1
1 0 1
2 1 1
3 0 2
0 3 1
1 3 3
0 1 2
3 2 1
2 0 2
10 7
1 3 1
3 0 2
1 1 2
3 0 0
3 1 0
1 0 1
1 1 1
3 3 1
0 0 3
2 1 0
10 9
0 1 2
2 2 1
0 0 1
0 2 0
0 0 2
2 1 1
1 2 2
1 1 0
2 0 0
0 1 0
10 8
2 1 2
1 3 3
0 1 3
1 2 2
1 0 2
0 0 0
2 1 1
2 0 2
1 2 0
2 1 0
10 2
2 2 1
2 1 2
2 1 1
0 1 2
0 2 1
0 1 1
0 2 0
0 1 0
2 2 0
1 0 0
10 4
1 1 2
2 0 1
1 1 1
0 0 0
0 0 2
2 1 2
1 2 1
0 2 0
0 1 0
1 0 2
10 2
3 2 1
0 0 0
2 1 1
1 2 0
3 0 2
1 0 1
2 1 2
1 2 3
3 0 3
0 3 1
10 6
2 1 2
2 0 2
1 1 2
1 0 2
0 2 2
1 1 0
2 0 0
2 2 0
0 1 0
1 0 0
10 6
1 1 0
2 2 2
0 1 1
0 1 2
1 1 2
1 0 2
0 0 2
0 2 1
2 1 1
2 2 0
10 6
1 0 0
2 2 2
2 2 1
1 1 0
1 2 1
2 0 0
2 0 1
0 1 2
0 0 1
1 1 2
10 8
3 3 3
2 1 0
3 1 3
0 2 2
3 2 3
2 2 2
1 0 1
2 3 3
2 2 1
1 2 3
10 3
3 0 2
3 1 2
0 2 1
2 0 2
2 2 0
2 2 2
0 1 0
3 1 1
1 2 2
1 0 3
10 6
3 3 2
3 2 3
0 0 1
2 3 1
1 2 3
1 2 2
2 2 0
0 1 0
0 3 1
2 3 3
10 9
2 2 2
2 0 1
2 0 2
1 2 1
1 0 2
2 1 0
0 1 0
1 0 0
1 1 2
1 0 1
10 8
0 1 0
2 1 0
0 0 1
2 0 0
0 2 1
0 2 2
1 1 2
2 0 1
2 1 2
1 2 2
10 6
2 0 0
2 1 1
0 1 1
2 2 0
1 2 1
1 1 0
1 2 0
0 2 2
2 1 0
0 2 0
10 5
0 2 2
2 2 1
1 0 0
0 1 2
0 2 1
2 2 0
1 0 1
1 2 0
0 1 0
2 0 1
10 4
3 0 2
1 3 2
3 3 1
1 2 2
1 2 0
1 3 1
0 3 3
2 1 3
2 3 3
3 1 1
10 6
3 3 1
2 0 2
0 0 1
3 0 3
2 0 3
2 1 3
0 3 1
1 3 0
0 1 0
2 3 3
10 5
2 0 1
1 2 1
2 1 2
2 2 2
1 2 0
2 1 1
1 2 2
1 0 2
0 0 0
0 1 1
10 8
1 1 0
2 2 0
2 0 0
0 0 1
1 2 2
1 0 0
0 0 0
2 2 1
2 1 1
0 1 0
10 9
0 2 1
1 2 2
3 0 2
2 0 1
0 0 3
0 1 0
1 3 1
2 2 1
2 2 2
2 3 2
10 8
3 2 0
3 2 1
1 0 2
3 1 1
0 3 2
0 1 2
2 1 1
3 3 2
0 2 2
1 2 2
10 5
1 0 3
3 0 1
3 2 0
1 2 2
2 0 3
2 0 0
3 3 2
1 1 3
0 0 3
3 2 2
10 3
1 1 2
3 0 3
0 1 0
3 3 0
3 3 2
0 2 0
3 1 3
1 1 3
0 2 2
0 2 1
10 6
2 2 0
2 1 2
2 1 1
0 1 3
3 3 1
1 1 1
2 0 3
0 0 3
3 3 0
3 0 0
10 9
1 2 3
2 1 3
2 0 1
0 0 0
2 0 2
1 1 2
3 3 3
0 0 1
2 3 1
3 2 3
10 6
1 1 1
0 2 1
2 0 2
1 2 0
2 2 1
0 1 2
1 0 0
2 0 0
0 2 0
2 0 1
10 3
1 0 2
0 0 1
2 2 2
0 2 0
1 1 2
1 2 2
2 0 0
1 0 0
0 0 0
0 1 0
10 6
2 3 2
0 0 0
3 2 1
2 2 3
1 0 0
1 0 3
0 0 2
1 1 0
3 3 0
3 3 1
10 4
1 1 1
1 2 0
0 2 0
2 0 1
1 0 0
0 0 2
0 1 1
2 1 2
1 0 2
0 0 1
10 3
2 2 1
1 1 2
1 0 0
1 1 1
0 1 1
2 0 2
1 2 2
0 0 2
0 2 1
0 2 0
10 8
2 2 1
2 2 2
1 2 2
0 2 0
2 0 0
0 1 1
1 1 2
2 2 0
0 0 1
2 0 2
10 6
1 1 0
3 1 2
2 3 3
0 2 1
1 2 0
0 2 0
0 1 2
1 3 3
0 3 3
0 0 1
10 8
0 2 0
0 2 2
2 0 2
0 2 1
1 1 2
0 0 1
1 0 1
2 1 2
1 0 2
0 1 1
10 6
1 2 0
2 2 0
2 1 0
2 1 1
1 0 2
2 0 0
0 1 1
2 0 2
0 2 1
0 1 0
10 6
2 2 2
1 1 1
0 1 2
1 0 0
0 0 1
0 2 1
2 0 2
2 1 1
2 2 0
1 1 2
10 6
2 0 1
2 0 2
0 1 1
2 1 0
2 2 2
0 0 2
1 2 0
0 0 1
1 1 1
1 0 1
10 5
1 2 2
1 2 0
0 0 0
2 0 0
1 0 0
0 1 2
1 1 2
0 2 0
0 1 0
1 0 1
10 9
3 0 1
0 3 1
3 0 2
0 0 0
1 3 2
2 1 3
2 0 0
1 1 2
3 3 1
1 1 1
10 5
1 2 1
1 0 0
3 3 2
1 2 0
0 1 3
3 3 1
3 0 2
2 1 3
2 1 1
3 1 3
10 9
1 2 2
0 1 0
2 1 2
1 0 2
2 0 0
0 1 1
0 0 2
2 2 2
1 1 2
2 1 0
10 7
2 1 2
1 0 1
2 0 2
1 2 2
0 0 1
2 2 1
0 2 0
0 1 0
2 2 0
2 0 1
10 7
3 3 2
3 3 1
2 3 0
0 0 3
3 3 3
2 3 3
2 2 2
0 3 3
1 2 1
2 0 1
10 4
2 2 0
0 2 1
2 0 2
1 2 2
2 2 2
1 2 0
2 1 1
1 2 1
0 0 2
2 1 2
10 4
1 0 0
2 3 3
2 1 3
2 2 1
3 2 1
3 3 2
3 0 0
0 2 0
2 3 1
3 3 3
10 7
2 3 1
1 3 2
3 1 0
3 3 3
1 0 3
3 0 3
0 2 3
1 3 1
1 2 1
1 1 2
10 3
3 0 1
0 3 1
3 0 0
0 1 2
3 2 2
2 2 0
0 0 3
1 2 1
0 2 1
3 0 2
10 3
2 1 1
1 2 2
0 1 1
0 2 2
0 1 0
0 2 0
2 1 0
0 2 1
1 0 1
2 2 1
10 4
0 0 2
1 1 0
2 1 1
2 2 1
1 1 1
1 2 2
2 1 2
0 1 0
1 2 0
1 0 1
10 2
2 1 2
2 0 3
3 0 1
3 1 2
1 0 0
2 2 0
3 3 3
3 3 1
1 0 2
2 0 1
10 3
0 0 0
1 1 2
2 0 1
0 2 1
2 2 1
0 0 2
1 0 1
1 2 1
1 0 0
1 0 2
10 4
1 1 0
0 1 0
0 2 2
2 1 0
1 0 1
2 2 2
0 1 1
1 0 0
2 1 1
0 0 0
10 3
2 0 2
3 1 1
3 1 3
2 0 1
1 3 1
2 1 1
0 0 1
0 3 0
0 0 2
3 3 0
10 7
2 0 0
0 1 1
1 1 2
0 2 0
1 0 0
2 2 2
1 1 1
2 1 0
2 1 2
2 2 0
10 2
0 2 2
0 0 0
1 0 0
2 2 2
0 1 2
0 1 1
0 0 1
1 1 2
2 2 0
1 2 1
10 5
1 3 2
3 2 3
0 0 3
0 3 3
1 2 2
3 1 2
1 1 1
2 0 3
2 3 0
1 2 1
10 9
2 1 2
1 0 1
0 2 1
0 0 0
2 0 2
0 1 2
2 0 0
1 2 1
0 1 0
1 0 2
10 9
1 1 2
2 1 0
1 2 0
1 0 0
0 0 2
0 2 0
0 0 0
2 2 0
0 2 1
2 0 1
10 4
1 1 1
1 0 2
1 2 1
2 2 1
2 2 0
1 0 1
1 0 0
2 0 0
2 1 2
1 2 0
10 9
3 0 0
1 3 1
0 2 2
1 3 2
1 0 3
3 2 0
0 1 2
3 1 3
1 1 3
0 2 0
10 4
0 0 0
0 1 1
2 1 1
0 2 0
0 0 2
1 2 0
1 1 2
1 2 1
2 0 0
0 2 1
10 3
0 1 0
0 0 1
1 1 0
2 1 1
1 2 1
1 1 2
1 2 0
0 1 2
0 2 2
1 0 1
10 8
0 1 2
1 2 0
1 1 1
0 2 2
2 2 1
2 2 0
2 1 0
2 0 1
0 1 0
2 0 2
10 2
2 2 0
1 2 0
2 0 1
2 2 1
0 1 1
0 2 1
2 1 2
1 2 2
0 1 0
2 1 0
10 6
2 3 0
2 0 3
0 3 2
3 0 0
0 2 1
0 1 0
2 1 2
2 0 0
0 3 0
0 2 3
10 4
1 2 1
0 2 0
2 1 2
1 0 2
2 2 2
0 1 2
0 0 2
0 0 0
2 2 0
2 1 1
10 3
2 2 3
0 1 3
3 0 3
3 3 2
1 3 3
0 1 1
2 0 3
0 0 3
1 0 3
2 1 3
10 2
1 1 0
1 1 1
0 2 1
0 0 2
2 2 0
1 0 0
0 1 1
1 0 1
1 0 2
2 2 2
10 3
0 0 2
1 0 0
0 1 0
2 1 1
0 0 1
0 1 1
1 0 1
1 2 2
2 0 1
1 1 1
10 9
0 1 2
2 0 2
0 2 2
3 3 1
1 3 0
0 1 3
3 3 2
2 2 2
0 3 1
2 0 3
10 6
3 1 3
1 3 1
0 3 0
2 3 3
0 1 0
1 1 3
0 3 1
3 0 2
0 0 1
2 2 1
10 6
0 1 1
2 1 0
1 0 0
1 1 0
2 1 2
2 2 0
2 2 2
2 0 0
0 2 2
0 0 1
10 6
1 2 2
2 1 3
2 1 2
1 0 1
2 2 2
0 2 3
2 0 2
1 1 3
3 1 0
0 2 2
10 5
2 1 0
1 1 0
0 1 2
0 0 2
1 0 2
2 1 2
0 2 2
0 2 1
0 1 1
0 0 1
10 4
2 2 3
2 2 1
0 0 0
0 0 2
1 0 3
0 3 3
0 2 0
2 1 0
2 1 2
3 0 1
10 8
2 0 3
1 1 1
0 1 3
3 2 0
2 0 0
2 1 3
0 2 0
2 2 1
3 0 2
2 1 2
10 5
0 1 0
0 0 0
2 1 0
1 1 1
1 2 1
1 0 2
2 0 0
0 1 1
0 1 2
0 2 1
10 7
1 2 1
3 3 1
0 3 3
1 1 3
2 0 2
3 2 1
0 3 0
0 1 1
3 2 0
2 0 1
10 6
0 2 1
0 0 1
1 2 0
2 1 2
1 2 1
0 2 2
0 0 2
1 1 1
0 2 0
2 2 1
10 9
2 3 0
3 0 2
3 2 2
2 3 3
1 1 2
1 2 3
1 0 3
1 3 1
2 3 2
0 3 3
10 3
0 2 0
2 2 0
1 2 0
1 1 2
1 0 1
1 0 2
2 1 1
0 1 1
1 1 0
2 1 0
10 9
2 3 3
0 0 1
2 2 2
0 3 0
2 0 1
3 1 3
3 2 2
3 3 3
2 0 3
2 3 0
10 4
3 1 2
0 3 1
2 1 1
0 1 0
2 0 0
0 2 1
3 1 0
1 3 1
1 1 0
0 3 3
10 8
2 0 1
1 2 1
2 3 1
3 0 3
0 0 3
1 0 2
0 1 2
3 2 1
2 3 2
1 1 1
10 3
2 0 0
0 3 2
2 0 2
0 2 3
1 2 0
1 1 0
3 3 3
0 2 1
1 3 3
3 2 1
10 6
1 0 3
3 0 2
1 1 2
0 1 1
1 0 1
1 1 0
0 0 3
1 2 1
2 2 3
0 1 0
10 9
2 3 2
3 2 0
2 2 2
0 1 0
1 0 0
0 0 3
0 3 3
1 2 3
1 3 3
3 1 1
10 8
1 2 2
1 1 0
1 2 1
0 0 1
0 2 2
2 1 1
0 2 1
2 1 0
1 1 1
0 2 0
10 3
2 1 3
2 1 2
0 3 0
3 3 0
3 2 1
3 0 0
3 0 1
2 3 3
3 2 2
2 0 0
10 9
0 1 0
2 0 2
0 2 0
2 1 2
1 1 0
1 2 1
0 2 2
2 0 1
0 2 1
0 0 1
10 7
0 1 2
0 2 0
1 2 1
1 2 2
0 0 2
2 2 0
0 1 1
2 1 1
0 1 0
2 0 1
10 9
3 0 2
0 1 0
0 3 0
1 3 3
3 2 1
3 3 3
2 3 3
1 2 1
3 0 0
0 1 1
10 4
0 0 2
0 1 2
2 2 2
2 0 0
1 0 0
1 1 1
1 1 2
1 0 1
1 2 0
2 2 1
10 2
2 2 1
0 0 3
0 0 2
2 3 3
0 1 2
1 1 3
3 2 2
2 2 2
0 2 3
2 3 0
10 4
1 0 0
0 2 0
1 1 0
1 2 2
1 2 1
2 2 2
0 2 2
2 1 0
2 0 1
0 0 1
10 3
0 2 0
1 1 2
1 0 1
2 1 1
0 1 2
1 1 1
2 2 2
0 1 0
2 1 0
1 2 0
10 8
2 2 2
0 1 0
0 1 2
2 0 1
0 2 1
2 1 2
0 2 0
1 0 2
1 0 0
0 2 2
10 4
1 1 2
2 2 1
2 0 0
1 2 0
1 2 1
2 0 2
0 1 0
2 0 1
0 0 0
1 1 1
10 4
1 2 0
1 0 2
1 1 2
2 0 0
0 2 0
1 0 1
0 1 0
0 0 1
0 1 1
2 1 2
10 4
2 0 0
1 1 2
1 2 0
2 1 0
1 0 2
2 0 2
2 2 0
0 1 1
0 0 0
2 2 1
10 6
2 2 1
2 1 0
2 1 1
0 2 0
0 1 1
0 0 1
1 1 2
1 2 2
1 0 2
2 1 2
10 8
0 2 2
2 0 1
1 3 3
3 3 2
3 1 3
1 2 2
0 2 0
3 0 2
2 3 2
0 1 2
10 9
1 2 3
3 2 1
2 1 3
1 2 1
3 0 1
2 0 2
2 1 2
0 0 3
0 3 3
1 1 1
10 3
1 2 2
0 2 0
1 2 0
2 2 0
0 0 1
2 2 2
1 1 2
0 1 2
2 1 2
0 1 0
10 3
2 1 1
2 2 0
2 1 2
1 1 1
2 0 0
1 2 1
1 0 1
0 0 1
0 1 0
2 2 1
10 6
3 3 0
1 1 0
2 3 3
1 2 2
3 2 1
0 3 3
3 1 1
2 1 0
0 2 1
1 2 0
10 3
2 1 2
1 1 2
1 0 2
2 0 0
1 1 0
0 2 0
2 2 2
2 0 2
0 1 1
2 1 0
10 8
2 0 1
1 2 2
0 0 0
2 1 0
0 0 1
2 2 1
1 0 0
0 2 2
1 2 1
1 0 1
10 7
0 1 2
1 0 2
1 3 0
1 1 3
0 1 1
3 3 1
1 1 2
3 1 3
0 3 0
2 1 2
10 9
1 2 0
1 2 2
1 1 1
2 1 0
2 2 0
0 1 2
2 1 1
1 0 1
2 0 2
0 2 2
10 3
2 3 2
2 2 2
2 1 0
2 0 3
1 0 1
0 2 3
0 3 3
3 3 0
3 3 1
3 0 1
10 7
0 1 1
1 0 1
1 0 0
2 0 1
2 0 0
1 1 2
0 2 0
2 2 1
0 0 2
1 0 2
10 3
1 1 1
2 2 1
0 1 2
1 2 0
1 0 1
0 0 1
2 0 2
1 0 0
0 0 2
2 1 2
10 3
0 2 2
2 1 0
0 1 0
2 1 1
0 2 1
2 0 1
2 0 2
1 2 2
1 0 2
2 2 1
10 5
2 0 2
3 0 1
3 0 3
3 1 0
1 0 2
1 1 3
2 1 3
2 1 0
0 1 0
2 1 1
10 9
1 2 1
1 2 2
2 2 1
1 0 1
2 0 1
2 0 0
0 1 0
2 0 2
1 0 0
0 0 1
10 5
0 0 0
1 2 0
1 1 2
2 2 0
0 0 2
2 2 2
0 2 2
1 0 1
1 1 0
2 0 0
10 2
0 0 0
0 2 1
0 1 1
2 0 1
1 2 1
2 0 2
1 2 0
1 1 1
1 0 0
1 1 0
10 7
3 3 0
0 1 1
1 0 1
3 1 1
1 3 1
2 2 2
3 2 1
0 3 1
0 1 0
1 3 2
10 6
0 0 2
3 0 0
1 3 1
1 0 3
3 3 3
0 1 1
2 3 0
0 2 1
2 1 2
3 3 0
10 7
0 0 2
1 1 2
1 2 2
1 1 1
1 2 0
1 1 0
1 0 1
2 1 1
0 0 0
0 1 2
10 2
0 0 3
1 1 2
1 2 2
2 2 2
1 3 0
2 0 0
1 0 0
2 1 0
3 0 2
0 3 1
10 2
1 2 1
0 1 0
0 1 2
2 2 2
1 2 2
0 0 0
1 1 0
2 0 1
1 1 2
1 2 0
10 4
2 2 1
2 2 2
1 0 2
1 0 0
0 2 0
1 1 2
1 2 0
2 0 2
0 0 0
1 1 1
10 6
0 1 0
0 1 1
2 1 1
2 0 2
1 0 0
2 1 2
2 0 1
2 2 1
1 0 2
0 0 1
10 2
1 0 2
2 2 1
0 0 0
0 0 2
2 2 2
2 1 0
1 1 0
1 2 1
2 2 0
2 0 2
10 5
2 2 2
1 2 2
2 1 0
0 0 2
2 0 0
0 1 0
2 1 2
1 1 2
1 0 1
0 2 1
10 2
2 2 2
0 2 2
0 1 0
1 1 1
2 1 1
0 0 0
1 2 1
1 1 0
0 1 2
0 2 0
10 2
1 0 0
2 2 1
0 1 1
0 1 0
0 0 0
1 2 0
2 0 1
2 0 2
1 2 2
1 0 2
10 4
3 2 2
0 0 2
1 0 1
2 1 1
1 0 0
2 1 3
3 0 0
2 0 0
0 1 3
3 1 1
10 6
2 1 3
0 0 1
3 1 1
0 3 3
0 2 0
2 3 2
2 2 1
1 3 2
0 3 0
2 2 2
10 2
2 0 2
1 0 1
2 0 1
2 2 2
1 2 1
1 1 0
2 2 0
1 1 2
1 1 1
0 2 0
10 5
0 2 2
3 1 3
2 3 2
2 3 0
2 0 2
1 2 0
3 3 0
3 1 1
3 0 1
0 2 3
10 9
2 0 0
1 1 0
1 2 1
1 1 1
0 2 2
0 1 0
1 0 1
0 0 1
0 2 1
2 1 0
10 8
1 1 0
0 1 2
0 0 0
2 0 1
0 1 1
1 0 2
0 2 2
0 1 0
2 1 2
1 2 0
10 2
0 2 0
2 0 1
2 0 3
1 2 1
3 0 3
3 2 0
1 3 2
0 1 3
0 2 2
2 2 1
10 3
0 2 1
0 1 3
0 1 0
0 0 0
1 3 1
0 0 2
2 1 3
3 1 3
2 3 3
2 0 3
10 3
0 1 0
0 2 0
0 1 2
2 0 0
2 1 0
0 1 1
0 0 1
1 2 1
0 0 0
1 1 0
10 8
0 2 0
2 1 0
0 1 0
1 1 3
2 0 0
2 2 3
3 2 2
3 2 3
0 2 3
1 2 1
10 6
1 0 1
1 0 0
1 2 1
0 0 0
0 0 2
0 2 0
1 2 2
2 1 1
0 1 1
0 1 2
10 2
2 1 0
1 0 0
2 2 0
2 2 1
0 1 1
0 0 1
0 1 2
2 1 2
1 1 2
1 2 2
10 4
3 0 0
2 2 2
3 1 3
0 1 3
0 0 3
3 1 2
1 2 3
1 0 1
1 2 1
3 3 1
10 2
1 2 1
1 0 2
0 0 1
0 2 1
0 1 1
2 1 1
0 1 2
1 1 1
2 2 2
2 2 0
10 2
2 1 0
0 0 2
1 1 1
1 0 1
0 1 1
1 2 2
0 0 1
0 0 0
1 0 0
2 2 2
10 3
2 0 2
2 3 3
2 1 3
2 0 1
2 1 1
0 3 1
3 2 0
3 0 0
0 0 3
2 3 0
10 7
0 2 1
1 1 0
0 0 2
0 0 0
2 1 2
0 1 1
1 1 1
1 2 0
1 2 1
1 0 2
10 2
0 1 3
3 0 0
0 2 3
1 2 3
1 0 1
0 1 0
2 3 2
2 1 2
3 2 3
3 3 2
10 9
0 0 2
2 0 2
2 0 0
2 2 0
1 2 0
2 1 2
0 1 0
1 2 2
0 0 1
0 1 2
10 9
2 3 3
2 3 0
0 3 3
0 3 1
1 0 1
1 2 3
0 1 1
0 1 0
2 1 0
0 0 2
10 2
0 0 2
1 0 3
1 3 1
1 2 0
2 3 1
1 0 0
3 2 1
0 2 1
0 3 3
1 2 3
10 6
2 1 2
0 2 1
2 2 1
1 1 2
1 2 0
2 0 0
1 2 2
1 0 0
0 1 2
2 0 2
10 9
1 2 3
2 3 3
3 3 1
1 2 1
1 2 0
1 3 3
3 0 3
2 2 3
3 2 2
0 0 3
10 8
1 2 0
2 0 0
2 2 0
2 1 0
2 0 1
0 2 1
1 0 0
1 0 2
1 1 2
0 0 1
10 9
2 1 2
0 1 2
1 0 2
2 2 0
0 2 1
0 2 0
1 1 2
0 0 1
2 0 0
2 0 1
10 9
1 1 2
1 3 0
2 1 1
3 1 1
2 1 0
1 2 1
2 3 0
3 1 0
0 3 2
0 0 2
10 6
2 1 0
0 0 2
2 1 2
0 1 1
1 1 2
1 2 0
0 0 1
0 1 2
1 0 2
1 1 0
10 7
1 0 1
0 0 2
3 2 0
1 3 2
3 0 3
1 1 0
3 0 0
2 2 3
3 3 1
1 2 0
10 2
1 2 0
0 2 2
2 2 2
2 0 1
0 0 1
0 1 1
0 0 0
1 0 0
2 2 0
0 0 2
10 2
0 1 0
1 2 1
3 1 1
0 3 1
2 1 1
1 0 2
2 1 0
2 1 3
2 0 0
0 2 3
10 9
0 1 0
0 1 2
0 0 1
1 1 1
0 0 2
0 1 1
1 0 1
2 1 0
0 2 0
2 0 0
10 9
0 2 0
2 0 2
2 0 1
2 0 0
1 2 2
1 1 2
2 1 1
0 0 0
0 1 1
0 2 1
10 8
2 2 2
0 0 0
0 0 3
2 1 3
1 2 0
1 0 0
2 0 2
0 1 2
1 3 2
2 3 2
10 7
2 1 1
2 2 1
0 0 1
2 0 2
1 1 0
0 2 2
1 2 1
0 0 2
1 0 1
0 2 0
10 3
0 1 1
2 2 2
1 0 2
0 0 0
1 0 0
1 2 1
0 1 2
0 0 1
0 2 2
1 2 0
10 7
3 2 3
0 3 0
0 0 2
1 2 0
0 3 3
1 0 1
0 3 1
2 0 0
2 3 3
3 1 1
10 8
2 0 3
2 1 3
0 3 1
0 1 3
0 2 2
3 3 2
3 2 2
0 0 1
3 1 1
1 0 1
10 2
2 3 0
3 0 3
1 0 2
3 2 1
3 2 2
1 1 3
0 0 3
3 3 2
1 0 3
1 2 0
10 9
0 0 1
1 1 2
0 2 1
2 2 2
1 0 1
0 1 2
0 1 1
1 0 0
2 0 1
2 1 0
10 7
2 2 0
1 2 3
0 2 1
0 3 2
2 3 3
0 1 2
1 2 0
3 0 3
0 0 2
2 3 2
10 2
1 1 1
3 0 2
2 2 0
0 1 2
2 1 2
1 2 0
0 2 0
1 3 0
3 1 0
3 3 0
10 7
1 1 0
0 2 1
1 0 0
0 0 2
0 0 0
1 0 1
1 2 1
2 0 2
0 2 0
0 1 2
10 5
1 2 1
0 1 1
1 1 3
0 3 3
2 0 0
1 0 2
2 0 3
3 2 3
3 2 0
3 2 1
10 3
1 0 2
1 3 3
0 2 0
0 3 1
0 1 0
3 3 3
2 0 1
0 1 3
3 3 2
2 3 3
10 6
1 2 0
2 0 2
0 1 1
2 0 0
2 1 2
0 2 0
2 1 1
1 0 0
2 2 1
1 1 1
10 2
2 0 0
1 1 1
2 2 1
1 2 1
0 0 2
0 0 1
0 1 2
0 2 1
0 2 2
2 0 1
10 4
0 3 3
2 1 0
0 3 2
0 2 3
3 0 2
3 3 0
3 1 3
0 3 0
1 2 3
0 1 1
10 4
3 2 3
1 3 3
1 2 2
3 3 0
1 2 3
0 2 0
2 0 0
3 0 2
2 2 1
0 1 3
10 4
1 1 2
2 2 0
2 2 2
2 1 0
0 0 0
0 2 1
1 1 1
2 1 2
0 1 1
1 0 2
10 8
1 2 0
2 1 2
1 2 2
0 0 0
2 2 2
0 2 1
2 1 3
3 3 0
3 0 0
2 2 1
10 8
1 0 1
2 1 1
2 0 1
1 0 2
0 2 2
1 1 2
0 1 0
2 1 0
1 2 0
0 2 1
10 4
0 2 1
1 1 1
0 0 1
0 1 2
1 0 1
0 0 0
2 2 2
2 2 0
1 2 1
0 0 2
10 2
1 0 1
2 1 1
0 0 0
0 1 1
0 0 2
0 1 2
0 2 1
2 1 2
1 0 0
2 2 2
10 6
3 0 3
2 1 2
0 1 1
1 2 1
2 3 3
3 3 2
1 3 3
1 0 0
1 0 1
0 2 3
10 7
0 2 1
0 1 1
2 0 1
1 2 2
1 0 0
1 0 1
0 0 1
0 1 2
2 0 2
2 2 2
10 3
0 2 2
3 1 1
3 2 3
2 2 3
0 3 3
3 3 3
2 1 3
0 2 1
0 0 0
2 3 1
10 3
1 2 2
1 0 1
0 0 1
0 1 1
2 3 0
3 1 3
3 3 2
3 2 2
1 1 3
0 3 3
10 2
3 0 0
2 3 2
3 2 0
0 2 0
2 1 3
1 0 2
3 1 2
1 3 2
0 1 2
2 0 2
10 3
3 1 3
0 3 3
3 1 2
0 1 3
1 1 1
1 3 3
1 2 2
0 1 0
0 1 1
2 1 3
10 5
0 1 3
2 1 1
1 0 3
0 3 1
3 3 1
2 3 2
1 3 1
3 2 1
1 2 3
3 0 0
10 6
0 1 0
2 1 0
0 0 0
0 0 1
2 1 2
0 2 2
1 1 0
2 0 0
1 1 2
0 2 1
10 5
1 1 1
1 2 1
1 0 2
2 1 2
0 2 2
2 2 1
2 2 0
2 0 0
0 0 0
2 0 1
10 5
0 0 1
1 0 1
1 2 1
0 2 0
0 1 0
1 1 1
1 0 0
2 2 2
2 1 1
1 1 2
10 6
0 2 0
1 1 0
0 0 0
0 3 0
3 0 3
3 3 3
3 1 2
0 2 1
0 0 2
2 2 0
10 4
1 1 1
0 2 2
0 0 0
3 0 1
0 1 0
2 3 2
2 0 3
1 0 2
2 2 2
2 1 1
10 9
2 0 0
1 1 1
0 2 0
2 2 0
0 0 2
0 0 1
0 1 1
1 2 1
2 0 2
1 0 0
10 6
2 2 2
3 0 0
1 2 3
2 2 0
1 3 3
3 2 2
0 3 1
1 2 0
3 2 1
2 1 1
10 9
1 1 0
2 2 1
2 2 2
0 1 1
0 2 2
2 0 0
2 1 1
0 2 0
1 2 0
1 1 1
10 9
1 0 1
1 2 0
0 0 1
1 0 0
1 0 2
0 2 0
0 2 2
1 1 2
0 0 2
0 1 2
10 2
1 2 2
0 0 2
0 0 1
2 0 1
1 1 1
1 1 0
0 1 1
1 0 2
0 2 0
1 0 0
10 3
0 3 1
0 3 2
3 0 0
2 1 1
0 1 0
3 3 3
1 1 0
1 0 2
3 2 1
3 1 0
10 5
0 1 0
2 1 1
0 0 1
1 1 2
1 2 1
2 1 0
1 2 0
1 1 0
2 0 1
0 2 1
10 8
1 0 2
1 2 0
2 1 0
0 1 2
1 1 0
2 2 2
1 2 1
0 0 0
0 2 2
2 2 1
10 7
2 2 0
1 1 0
2 0 0
0 0 1
1 0 2
2 2 1
1 1 2
2 1 1
1 0 0
1 0 1
10 8
0 0 0
1 2 0
2 2 1
0 1 1
1 0 2
2 3 3
3 1 1
2 3 0
3 0 3
0 3 1
10 6
1 1 0
2 2 0
1 2 1
2 0 2
0 2 0
1 0 1
0 2 1
2 2 1
1 2 0
2 1 1
10 3
2 0 0
0 2 0
1 2 0
0 1 2
1 2 2
2 0 1
0 0 2
0 1 0
2 1 2
1 0 2
10 3
0 3 1
2 0 3
3 1 2
2 2 3
1 0 0
2 2 1
0 1 1
1 3 3
0 1 0
1 2 2
10 9
1 2 2
2 1 2
0 1 2
1 2 1
1 2 0
0 0 2
1 1 2
1 1 0
2 1 1
0 1 0
10 7
2 2 1
2 1 0
1 0 0
1 2 1
2 2 2
1 1 0
2 0 2
0 2 0
0 2 1
2 0 0
10 6
2 2 1
1 0 0
1 1 1
3 1 3
2 1 3
1 0 3
3 1 2
3 3 3
0 0 1
2 2 2
10 6
1 2 1
2 0 1
1 1 2
0 2 0
1 0 2
1 2 2
0 2 2
0 1 0
2 2 0
1 0 1
10 6
2 2 2
1 1 1
1 0 1
1 2 1
0 2 0
1 0 2
1 1 2
1 2 0
0 0 0
2 1 0
10 4
1 2 3
0 1 1
3 0 3
1 1 3
0 0 1
2 1 3
1 2 1
0 0 3
3 1 3
3 3 1
10 5
0 0 0
0 1 0
2 0 1
1 1 1
2 2 0
0 0 2
1 0 2
0 1 2
2 0 0
2 2 1
10 5
1 0 1
2 1 2
2 0 1
2 0 0
2 2 0
0 0 1
2 2 1
2 0 2
0 2 0
0 2 2
10 6
2 1 2
0 2 2
1 1 2
1 2 2
1 2 0
0 1 0
1 1 0
0 2 0
2 1 1
0 2 1
10 3
0 0 2
1 2 2
1 3 2
3 2 1
1 0 0
3 2 3
2 0 0
2 3 2
3 3 1
3 0 2
10 7
2 0 1
0 2 0
0 1 2
1 2 1
1 2 2
1 0 1
1 0 0
2 1 1
0 1 1
1 2 0
10 5
1 1 1
1 1 0
2 1 1
0 0 2
0 0 1
2 2 1
0 2 2
1 0 0
2 1 0
2 2 2
10 7
3 2 3
3 3 0
3 3 3
1 3 3
1 0 2
2 2 2
3 1 2
1 1 1
3 0 2
2 2 1
10 7
0 1 3
3 1 1
2 2 2
2 3 3
0 0 1
0 0 0
1 3 2
3 2 0
3 0 3
1 1 0
10 6
0 3 0
1 1 1
3 2 3
0 2 2
0 3 2
1 1 0
3 1 2
3 0 2
3 1 3
2 0 3
10 8
1 2 1
2 0 0
1 1 1
0 0 0
0 1 3
0 1 0
2 1 3
0 2 2
0 0 2
1 0 2
10 5
1 1 0
1 3 3
0 0 1
3 0 3
0 2 0
3 3 1
2 0 3
3 0 0
0 2 2
1 2 1
10 5
2 2 1
2 1 0
0 0 2
0 1 2
0 2 0
0 1 1
1 0 0
1 2 0
0 1 0
2 2 2
10 4
0 2 0
0 1 1
2 0 0
1 1 1
1 2 2
1 2 0
2 2 1
2 1 2
1 1 0
2 1 1
10 8
0 3 3
2 1 0
2 0 3
0 1 2
3 3 1
3 1 3
1 2 3
0 3 1
2 1 3
0 1 3
10 6
1 2 1
0 2 0
2 1 0
2 0 1
2 2 1
1 2 0
1 0 2
0 2 1
2 2 2
1 1 1
10 9
1 0 1
0 1 0
2 0 1
0 1 1
2 2 0
0 0 1
2 1 2
1 1 2
0 2 2
0 0 0
10 8
1 0 0
0 1 2
2 0 0
1 1 2
1 0 2
2 2 1
0 2 1
1 2 0
2 1 0
0 2 2
10 8
3 3 0
2 1 3
3 0 1
2 1 1
1 3 3
0 2 1
0 2 0
0 1 2
3 1 1
3 0 0
10 7
1 1 1
0 2 1
1 3 1
1 3 2
2 0 1
2 0 2
0 0 1
2 2 0
3 2 1
2 3 0
10 3
0 1 1
0 1 0
0 2 0
1 0 0
0 1 2
2 0 1
2 1 1
0 0 2
0 2 2
1 0 1
10 9
1 3 1
1 0 0
3 2 3
1 2 3
3 3 0
1 2 0
3 0 1
1 3 0
3 3 3
2 3 1
10 3
2 3 1
0 0 0
0 3 0
0 0 3
1 2 0
2 0 2
0 0 2
3 3 2
3 2 3
3 2 0
10 4
1 0 1
2 1 1
2 1 0
0 0 0
1 1 2
0 1 0
0 0 2
0 2 2
2 0 2
0 2 1
10 2
0 1 2
2 0 2
1 0 1
2 1 0
0 1 1
2 2 0
1 1 2
0 0 1
0 0 0
2 1 1
10 2
1 3 0
1 2 1
1 1 2
2 2 3
0 2 1
0 2 2
1 1 3
3 1 2
0 3 2
3 1 1
10 9
2 2 2
0 0 1
0 2 1
1 0 1
2 2 0
2 1 0
0 1 0
1 0 2
0 2 2
1 1 0
10 8
2 1 0
0 0 0
1 0 2
1 1 1
0 1 0
2 1 1
1 2 1
1 2 0
0 0 2
0 2 1
10 5
0 2 3
1 3 1
2 0 3
1 2 0
1 2 3
0 1 2
0 1 1
0 0 3
1 1 1
2 1 2
10 3
3 0 1
0 0 1
1 3 2
1 3 3
2 2 3
3 2 1
3 1 0
0 2 2
2 1 3
2 3 3
10 7
2 0 1
1 2 2
0 1 1
0 2 0
2 0 0
0 2 1
2 2 2
2 1 0
0 0 2
1 0 1
10 5
2 1 2
0 2 1
0 2 2
0 0 2
0 0 0
1 1 1
2 2 0
1 0 1
2 0 0
1 2 1
10 9
2 0 2
1 1 0
2 0 0
2 0 1
1 0 0
0 2 0
0 2 2
1 1 1
2 2 0
0 2 1
10 6
2 1 1
0 1 1
1 1 1
1 2 2
2 0 1
1 1 0
0 0 1
0 0 2
1 1 2
2 2 1
10 8
0 1 2
2 2 2
1 1 0
0 0 0
1 0 0
2 2 0
0 0 1
2 1 1
0 1 1
0 2 0
10 7
1 3 1
0 3 2
3 1 2
1 1 1
2 0 3
0 2 1
0 3 0
1 1 0
0 1 1
1 0 0
10 5
3 1 1
2 2 1
2 0 2
2 2 0
0 2 0
0 0 2
3 3 3
3 2 2
1 3 0
2 1 3
10 6
1 2 2
2 1 0
0 1 0
2 0 0
0 0 0
0 2 1
2 0 2
1 2 0
2 2 0
2 2 2
10 3
2 1 2
0 1 1
0 2 2
0 2 0
2 0 0
2 2 0
2 1 0
1 1 2
0 0 2
2 2 2
10 4
1 2 3
3 2 2
0 0 3
2 3 3
3 0 2
0 1 1
0 1 0
2 3 0
0 1 3
2 1 2
10 6
0 1 0
0 2 1
2 2 1
2 1 0
1 1 0
1 0 2
2 0 0
1 1 2
0 1 2
0 0 2
10 5
2 1 3
0 2 0
3 3 1
0 0 3
0 0 1
1 2 2
2 2 1
1 3 3
2 1 0
1 0 2
10 3
1 1 0
1 0 1
2 1 0
1 2 1
2 2 0
0 1 1
2 0 0
0 2 2
1 2 2
0 0 2
10 3
0 0 3
0 1 0
3 1 2
0 2 1
0 2 3
0 0 2
2 3 2
3 3 3
0 1 3
2 2 3
10 7
0 0 0
2 2 1
0 0 1
0 2 0
1 1 2
1 0 1
2 2 0
2 1 0
0 2 2
0 1 0
10 2
0 0 2
0 3 1
1 2 0
1 2 3
2 2 3
3 3 1
2 3 1
1 0 2
0 3 0
1 0 0
10 5
2 1 1
1 2 0
0 1 0
1 1 1
1 2 2
2 2 2
2 0 2
1 1 2
0 2 1
1 1 0
10 4
0 1 3
0 1 1
2 0 2
1 0 2
0 3 3
2 3 2
2 1 2
2 2 0
2 2 1
3 2 1
10 4
2 1 1
2 1 2
2 0 0
1 1 0
1 2 1
2 2 2
0 2 1
2 2 0
1 1 2
0 1 0
10 5
1 1 2
1 2 0
2 0 2
0 2 0
1 0 0
1 2 1
2 1 0
0 2 1
1 1 1
2 2 1
10 4
1 0 1
1 2 2
2 1 0
1 2 0
0 1 2
1 1 2
0 0 1
2 0 1
0 1 1
2 0 2
10 8
1 0 2
1 1 0
2 0 0
0 2 2
1 1 2
1 1 1
2 2 2
1 2 2
2 0 1
0 2 1
10 7
0 2 3
2 0 1
3 1 0
1 1 2
1 2 3
0 0 3
0 3 3
3 0 3
2 2 0
2 3 1
10 4
1 2 0
1 0 0
0 0 2
2 1 1
2 0 2
2 0 0
1 1 1
0 2 2
1 1 2
2 2 0
10 3
0 0 0
1 2 0
2 0 1
2 1 0
2 0 0
0 2 2
2 2 2
0 1 0
1 1 1
0 1 2
10 5
2 3 0
3 2 0
2 3 1
1 2 0
0 0 2
3 1 1
0 3 0
3 2 1
0 2 2
0 2 3
10 9
2 1 2
0 1 0
2 2 0
0 0 0
2 0 1
2 1 0
1 2 1
2 0 0
0 0 2
0 0 1
10 4
1 0 0
0 1 0
2 0 0
2 0 2
1 1 1
0 0 0
0 1 2
1 1 2
0 2 2
1 2 1
10 4
1 0 0
1 2 1
3 3 1
1 3 0
3 2 1
3 1 0
3 1 2
3 0 2
2 2 0
0 3 2
10 9
0 2 0
0 1 1
0 2 2
0 0 1
2 2 0
1 1 0
2 1 0
0 0 0
2 2 2
2 2 1
10 8
3 0 1
2 0 0
1 0 2
2 2 1
0 0 1
2 3 2
2 3 1
2 3 0
3 0 2
2 1 0
10 9
0 0 2
2 0 0
2 1 2
0 0 1
2 1 0
2 2 2
1 2 1
0 2 0
1 0 1
1 1 2
10 7
3 0 1
2 3 2
3 3 3
2 3 0
3 3 0
1 3 0
3 1 0
0 1 1
3 0 3
1 2 3
10 6
1 1 2
2 1 2
2 0 0
2 2 0
1 2 2
0 0 0
2 1 1
0 1 0
0 0 2
1 1 0
10 5
0 1 1
2 1 2
1 0 0
0 0 2
0 0 0
1 0 1
1 1 0
0 2 0
1 1 1
2 2 1
10 3
2 0 2
1 1 2
0 2 0
2 1 2
2 1 0
1 2 0
1 1 0
0 0 0
0 1 0
1 0 0
10 3
0 3 1
1 0 3
1 1 2
2 1 1
0 1 2
1 0 2
2 2 2
0 2 2
2 0 0
2 0 3
10 2
2 2 2
2 0 2
0 2 0
2 0 1
0 0 2
1 1 0
0 0 0
2 1 2
1 1 2
1 0 2
10 6
3 0 3
1 0 1
2 1 0
2 3 0
0 2 2
2 1 1
3 1 2
1 3 3
0 0 0
2 0 0
10 6
0 3 2
1 1 2
0 2 2
1 1 3
0 1 2
0 3 3
1 3 1
0 1 1
3 3 3
2 2 3
10 3
2 0 2
2 2 1
1 0 2
0 1 1
1 2 1
2 0 1
2 1 1
0 2 0
1 2 2
0 2 2
10 2
0 0 2
2 0 0
1 3 1
1 2 2
3 3 3
2 0 2
3 3 0
3 1 1
3 3 1
2 1 1
10 8
1 2 2
2 0 0
1 1 0
1 2 0
1 0 1
0 0 1
1 2 1
0 2 0
2 0 1
0 2 1
10 6
1 1 2
0 2 2
1 0 0
1 2 0
2 2 1
0 2 1
0 1 0
0 1 2
0 0 2
2 0 1
10 7
2 3 2
2 2 0
0 2 0
3 2 0
3 2 3
2 1 0
1 2 2
0 0 0
0 0 1
0 2 3
10 8
1 1 0
0 0 1
2 2 1
1 0 0
2 1 2
0 0 0
1 2 2
1 0 2
2 2 0
2 1 1
10 5
2 1 0
3 1 2
0 0 0
3 3 0
1 1 0
0 3 1
0 1 0
3 0 1
0 2 1
0 0 2
10 6
0 0 0
2 3 0
0 2 1
3 0 1
0 2 2
3 3 3
1 2 3
1 0 2
3 1 1
3 3 0
10 5
3 3 3
1 0 1
1 3 2
0 2 3
1 3 1
3 1 3
1 2 1
3 2 0
0 3 3
1 1 3
10 5
1 0 2
3 3 1
0 3 3
0 3 2
1 1 3
0 2 1
3 3 0
2 0 1
2 3 0
1 1 1
10 4
0 2 2
2 1 0
0 1 1
1 1 1
2 2 2
0 2 0
0 0 1
0 0 2
1 1 0
1 2 0
10 6
2 2 2
1 1 0
1 0 2
1 0 1
1 1 1
0 0 0
1 1 2
1 2 2
2 0 2
2 2 1
10 4
2 2 0
1 2 2
2 2 2
0 2 1
3 1 3
0 1 0
3 3 3
3 3 2
2 1 2
0 3 1
10 8
3 0 0
1 3 0
3 1 3
1 3 3
1 0 1
0 1 3
3 3 3
2 3 2
2 2 0
0 0 0
10 6
3 2 2
2 1 2
3 3 0
3 2 1
0 2 0
3 1 2
3 0 1
1 2 1
0 0 1
2 3 1
10 6
2 2 2
1 1 2
1 1 1
0 1 2
0 0 1
1 1 0
1 2 1
0 1 0
2 2 0
0 0 0
10 3
0 0 2
2 1 0
0 2 0
2 0 2
2 1 2
1 0 1
2 2 2
2 0 1
1 1 0
0 1 0
10 3
3 3 1
0 2 0
0 0 1
0 1 1
3 2 0
3 0 0
2 2 3
1 2 1
2 0 0
1 3 1
10 2
2 0 3
0 3 2
2 3 0
3 2 2
3 3 3
0 0 0
1 0 0
2 1 2
2 1 1
1 2 3
10 2
3 3 2
1 3 3
2 0 1
3 3 0
1 3 2
3 2 1
1 1 3
3 1 1
0 1 1
2 2 1
10 7
1 1 0
2 2 2
1 0 2
2 1 2
0 2 2
1 0 1
0 1 1
1 1 1
1 1 2
0 2 0
10 7
2 0 1
1 0 1
2 0 2
2 2 0
1 1 1
1 0 2
2 1 0
2 1 2
1 2 1
0 1 0
10 2
1 3 0
2 2 0
3 1 0
0 2 2
1 3 3
3 3 1
2 2 2
3 0 2
0 2 0
2 0 3
10 6
2 2 1
0 1 0
1 2 0
2 2 2
1 2 2
2 0 0
2 0 1
1 0 0
0 1 2
1 0 2
10 9
2 3 0
1 0 3
3 1 0
0 2 3
2 0 1
0 1 1
0 3 0
3 2 1
0 1 2
1 3 2
10 5
1 1 0
0 0 1
2 2 0
2 2 2
0 1 2
0 1 0
1 2 0
0 0 0
1 0 0
1 2 1
10 2
2 1 2
3 2 1
3 1 1
3 1 0
1 3 2
1 1 2
0 0 1
3 0 1
2 1 1
0 3 2
10 5
0 1 3
0 0 3
1 3 2
3 3 1
0 1 0
1 3 0
1 2 1
2 0 0
0 1 2
3 2 3
10 2
2 0 1
1 0 1
2 0 0
1 2 2
1 1 0
2 2 1
0 2 2
1 2 1
0 2 1
0 1 2
10 8
3 0 0
0 1 0
3 3 0
2 2 2
1 2 1
0 0 0
0 0 1
2 0 3
1 0 3
1 1 3
10 7
2 0 0
1 2 0
0 2 2
1 0 2
2 1 1
2 0 1
2 1 2
1 0 0
0 2 1
2 2 2
10 4
2 3 3
2 0 1
2 2 1
2 0 0
0 2 3
0 1 3
2 1 2
0 1 2
2 3 2
1 0 0
10 3
2 0 0
0 1 0
0 2 2
2 0 1
1 0 1
2 2 1
2 0 2
1 0 2
1 0 0
1 2 1
10 7
3 2 3
2 2 0
1 2 3
0 0 0
0 0 1
0 2 0
2 1 0
3 2 1
1 2 0
0 2 2
10 3
3 3 0
3 1 1
0 3 3
3 0 2
1 3 0
1 2 3
2 3 2
1 3 2
0 2 0
2 2 1
10 9
3 1 3
2 3 3
3 1 1
3 3 1
0 1 3
2 2 1
1 2 3
2 2 3
1 1 3
1 2 0
10 2
1 0 0
0 0 0
1 2 0
1 0 1
2 0 0
2 1 1
1 1 1
1 0 2
0 1 2
2 2 2
10 9
2 0 2
1 0 0
0 0 1
0 0 0
1 0 3
2 2 1
2 1 3
2 3 2
1 1 2
0 1 2
10 2
1 0 1
1 0 2
1 2 2
2 1 0
2 2 0
0 1 0
0 2 2
2 2 1
1 1 1
2 1 2
10 3
1 0 0
2 2 2
2 0 0
0 2 2
0 1 1
2 1 2
1 2 0
1 1 0
2 1 0
0 0 0
10 5
2 2 0
2 2 3
0 3 2
1 2 1
0 1 1
2 1 3
1 1 0
0 0 0
1 3 1
3 2 1
10 7
1 3 2
3 3 3
2 2 2
1 0 1
1 0 2
0 1 0
2 3 3
3 0 0
3 2 3
3 1 2
10 6
2 2 3
1 0 0
3 2 1
0 0 1
2 0 1
0 1 1
2 2 0
3 1 1
1 2 3
3 0 3
10 9
0 0 2
1 1 0
1 1 2
2 1 0
1 0 2
0 1 2
2 0 2
2 0 1
0 1 1
1 0 1
10 2
2 0 2
2 0 0
0 2 1
2 0 1
0 0 1
1 2 2
2 1 2
0 1 0
1 0 1
2 1 1
10 9
2 1 0
2 3 2
1 3 3
1 1 1
1 3 0
3 1 0
0 3 3
1 0 3
2 0 3
3 2 0
10 8
1 2 2
0 3 0
1 0 0
2 0 3
3 2 3
2 0 1
0 3 3
0 0 2
0 0 1
0 3 2
10 9
0 2 0
1 0 1
2 1 0
0 0 0
1 1 0
1 2 2
0 1 1
2 0 0
0 1 0
1 0 0
10 5
2 3 2
1 3 2
3 3 3
2 0 3
0 0 1
0 2 3
0 1 3
2 1 2
0 3 1
1 0 0
10 8
1 0 1
0 2 1
1 3 0
0 0 1
2 1 2
3 3 0
0 1 2
1 1 0
1 3 2
0 1 3
10 3
2 1 0
0 3 2
0 2 2
3 2 3
2 0 3
2 2 0
2 1 3
0 1 0
0 2 0
1 0 1
10 4
0 1 0
0 1 1
1 3 0
3 2 0
1 1 3
0 3 0
1 2 1
1 0 1
3 0 3
1 2 2
10 8
1 2 2
2 0 0
0 0 1
2 0 1
2 1 0
2 1 1
0 2 2
0 2 0
1 2 0
1 1 0
10 4
1 0 0
2 1 2
2 0 1
0 0 1
1 2 2
0 2 0
1 2 0
2 2 2
0 0 0
1 1 0
10 4
0 2 0
0 1 2
2 0 0
2 2 2
1 0 0
0 0 0
1 0 2
2 2 1
1 1 2
1 1 1
10 2
0 0 1
1 0 1
0 2 0
2 2 0
2 2 1
1 2 1
0 2 1
1 0 0
0 0 2
0 1 1
10 9
1 2 0
2 1 2
1 2 2
2 0 2
0 2 1
2 0 0
0 1 1
0 0 0
0 1 2
0 1 0
10 3
2 2 2
1 1 1
2 0 2
1 0 1
0 1 2
2 1 2
0 2 0
2 0 0
1 0 2
2 2 0
10 2
1 0 0
2 0 2
0 1 0
1 0 2
2 0 1
2 2 0
2 1 1
2 0 0
1 2 0
0 2 2
10 6
1 1 1
3 1 0
0 1 2
3 3 1
3 3 3
3 3 0
0 2 1
2 3 1
0 1 0
3 0 1
10 7
1 2 0
2 0 2
1 1 0
0 0 1
2 1 2
0 0 2
1 0 1
2 2 1
1 2 2
0 0 0
10 5
1 1 1
0 1 2
2 2 2
0 0 1
2 2 0
2 0 0
0 2 0
1 2 2
3 3 1
1 2 1
10 4
2 0 1
0 0 0
2 1 2
1 1 2
1 0 0
2 0 2
1 1 1
0 0 1
1 2 0
1 0 1
10 9
3 1 2
1 0 1
1 1 3
1 1 1
2 2 3
3 1 1
2 1 2
3 2 2
2 0 3
0 3 3
10 2
0 2 1
2 1 1
1 2 2
1 1 0
1 1 2
2 2 2
2 1 0
0 1 2
1 2 1
1 0 2
10 8
1 0 3
1 3 1
3 0 3
0 2 0
0 1 3
3 0 0
2 3 2
1 1 0
3 1 0
2 1 2
10 2
2 3 1
2 3 0
1 0 2
3 1 1
0 2 2
3 1 2
2 0 1
0 3 2
2 3 3
1 0 1
10 6
3 1 1
0 0 1
3 2 3
2 1 3
2 0 1
1 0 3
1 0 0
1 2 0
1 1 2
2 2 1
10 3
2 0 0
3 3 2
1 2 3
2 2 1
0 2 3
1 3 1
1 0 0
2 1 3
3 1 1
0 2 1
10 4
0 0 2
2 2 2
2 1 2
1 1 0
2 2 1
2 0 3
3 3 2
1 0 3
3 1 2
3 3 1
10 5
1 2 2
0 1 2
0 0 3
1 1 1
2 0 2
0 2 1
3 2 0
3 2 3
1 0 2
0 0 2
10 3
0 1 2
1 1 2
2 2 2
0 0 1
1 0 2
0 0 0
1 1 0
0 0 2
2 1 2
1 2 0
10 9
1 1 0
2 1 2
0 2 1
1 0 2
1 2 0
1 0 1
1 2 2
2 0 1
2 1 0
0 1 1
10 4
2 2 1
1 1 0
1 2 0
0 1 2
1 1 1
2 1 2
0 2 1
2 0 0
2 0 1
1 0 2
10 4
1 3 2
0 2 1
2 0 0
3 1 0
2 0 2
3 3 3
1 3 0
1 1 1
0 2 2
1 1 0
10 5
3 1 0
1 3 1
0 1 1
1 0 3
2 1 1
2 3 3
3 3 2
0 0 1
0 2 3
2 3 2
10 8
0 2 0
1 1 1
2 0 1
0 1 0
2 1 1
1 2 1
0 0 0
2 1 0
1 1 2
1 0 1
10 2
0 0 1
0 0 0
2 2 1
0 1 2
2 0 0
1 1 0
2 1 1
0 2 2
0 0 2
1 2 0
10 3
1 2 3
0 3 1
0 2 2
0 3 2
3 2 0
0 2 3
3 3 0
1 1 3
2 2 1
1 0 2
10 3
0 1 2
1 0 2
1 1 0
1 0 0
0 0 1
1 1 2
2 2 0
2 1 1
0 2 0
2 0 1
10 5
2 2 1
2 1 1
0 1 3
1 2 3
0 3 3
0 3 0
1 0 3
0 0 2
1 3 0
3 0 0
10 2
2 2 1
3 1 0
0 2 3
1 3 0
3 2 2
1 1 3
0 1 2
3 0 2
3 3 2
2 3 3
10 9
0 0 0
0 2 0
1 2 1
0 1 2
2 0 0
2 1 2
1 2 2
1 0 2
0 1 1
1 1 0
10 3
0 0 0
2 2 2
3 0 0
2 2 1
0 1 0
3 3 3
2 1 0
2 1 3
2 2 3
1 1 0
10 7
0 0 1
1 2 2
1 2 0
0 0 0
1 0 2
2 1 2
1 1 2
1 0 1
2 2 1
0 1 2
10 2
2 1 1
0 1 0
0 2 0
0 0 1
1 2 0
0 0 0
0 2 2
2 1 2
0 0 2
0 1 2
10 2
0 2 0
0 2 1
1 1 2
1 0 1
2 1 2
1 2 2
2 1 0
1 2 0
2 2 0
0 1 0
10 4
2 3 0
0 0 0
2 1 3
1 3 2
0 0 1
1 1 3
0 1 3
2 3 3
3 0 0
3 3 3
10 6
1 1 2
1 2 2
1 0 1
1 2 1
2 0 0
2 0 1
2 1 1
1 0 0
2 1 2
0 0 1
10 4
1 3 1
3 0 0
1 1 3
0 3 0
0 0 1
2 1 3
0 0 0
3 2 2
1 0 1
3 3 0
10 8
1 2 2
2 1 1
0 0 1
2 2 0
1 0 0
2 1 0
0 1 0
1 1 2
0 1 2
2 2 2
10 2
1 3 0
2 2 2
0 0 1
3 0 2
0 3 3
3 0 3
1 2 2
2 0 2
3 2 1
3 3 1
10 9
1 3 1
0 2 3
2 1 0
1 2 2
2 3 1
0 1 1
1 0 1
3 1 2
1 2 0
1 0 0
10 7
1 2 2
1 1 1
3 1 1
3 2 2
1 2 1
3 0 3
3 1 2
3 2 3
2 1 2
0 3 1
10 5
0 1 1
1 2 1
2 0 0
0 2 2
0 0 0
1 2 2
0 1 0
2 1 0
2 2 0
2 0 2
10 9
1 1 2
2 1 0
2 2 1
0 2 1
1 0 1
0 1 2
0 1 0
2 0 0
2 2 2
1 1 0
10 6
1 1 2
1 2 1
2 1 1
1 2 0
2 2 1
2 2 0
1 0 0
0 1 0
0 1 2
1 0 1
10 6
0 1 0
0 1 2
1 0 0
0 0 0
1 2 0
1 0 1
3 0 0
0 2 1
3 1 1
3 3 2
10 9
3 1 1
3 2 1
2 1 3
2 3 3
1 0 0
1 0 2
2 1 1
0 0 0
0 3 2
2 1 2
10 3
1 2 0
2 0 1
0 1 0
0 0 0
2 2 2
1 1 2
1 2 2
0 2 1
0 2 0
1 1 0
10 2
0 2 2
0 2 1
0 0 1
1 2 0
0 1 1
0 2 0
2 1 2
0 1 0
1 0 0
2 1 1
10 9
2 2 1
1 2 2
0 1 2
2 2 2
1 2 0
1 0 2
2 1 1
0 2 2
0 0 2
1 0 1
10 9
0 0 2
1 2 2
1 1 2
0 2 2
1 0 2
0 1 0
1 2 1
0 2 0
2 0 2
1 1 1
10 8
0 0 3
1 2 0
0 3 2
1 0 2
1 0 3
0 2 2
0 1 1
0 3 3
0 3 0
2 0 3
10 7
2 3 1
1 2 1
0 3 3
3 2 2
3 0 3
0 2 1
0 1 0
1 1 1
0 0 1
2 1 2
10 8
1 2 1
3 0 1
3 1 0
2 1 3
2 2 1
1 3 3
1 1 0
3 2 2
3 1 3
1 3 0
10 8
2 2 0
1 0 0
2 0 0
0 1 2
0 2 0
2 1 1
1 2 1
0 1 1
2 1 2
2 1 0
10 2
3 1 0
1 2 3
3 2 0
2 0 1
1 2 1
0 2 3
1 2 2
2 0 2
3 0 1
2 2 1
10 2
2 2 2
2 2 0
1 2 1
2 2 1
2 0 2
0 1 0
0 1 1
0 2 0
2 1 2
1 1 1
10 4
3 0 1
3 0 3
2 3 1
0 1 1
3 2 2
3 2 1
2 3 3
0 1 2
0 1 0
2 1 3
10 4
0 1 0
1 1 0
2 2 2
2 1 2
0 2 2
0 2 0
2 1 0
2 0 2
0 0 1
2 2 1
10 3
1 3 3
1 2 2
2 1 0
2 3 0
2 3 2
1 0 2
0 2 0
2 0 2
1 0 0
0 2 1
10 4
2 0 2
0 0 1
2 0 1
0 1 2
2 1 0
1 1 2
0 1 1
2 1 1
0 0 2
0 0 0
10 2
2 1 0
1 1 1
2 3 3
0 0 1
0 1 1
3 3 0
2 2 0
2 3 1
2 3 0
3 0 2
10 5
1 2 0
2 0 3
2 3 2
1 2 3
3 0 2
1 2 2
2 3 3
2 0 0
2 2 3
2 3 1
10 5
2 0 2
0 0 1
2 3 1
2 3 3
0 1 2
3 3 0
3 0 0
1 3 1
3 2 0
0 3 2
10 8
1 0 2
2 2 2
1 0 1
2 0 2
1 1 2
2 0 0
0 1 1
2 1 0
0 0 0
1 1 0
10 3
2 1 0
0 1 1
0 0 0
1 2 0
0 2 1
1 0 1
2 0 1
1 2 2
1 1 1
0 0 1
10 6
0 1 2
2 2 2
2 0 2
0 0 2
0 0 1
2 2 1
0 2 0
2 0 1
1 0 1
0 1 0
10 2
1 0 1
2 1 2
0 2 1
2 0 1
2 1 1
0 0 0
1 0 2
0 1 0
2 0 0
1 2 0
10 5
0 1 0
3 1 1
0 1 2
0 1 1
2 1 3
0 3 1
2 1 0
1 3 0
2 3 1
2 3 0
10 5
2 1 0
0 0 0
0 1 3
2 3 0
1 0 2
0 0 1
3 2 1
1 2 1
1 0 1
2 2 0
10 5
1 3 1
0 0 0
2 2 2
1 0 3
2 2 0
2 2 3
2 0 1
1 2 1
3 3 1
1 3 2
10 9
2 1 0
1 1 1
0 2 2
1 0 0
2 2 1
0 1 0
0 1 2
0 0 0
2 1 2
1 0 2
10 8
2 0 0
2 1 0
2 2 0
2 2 1
1 2 1
0 2 1
1 0 2
2 1 1
0 2 0
0 1 1
10 8
0 2 1
0 1 0
0 2 0
0 0 0
2 2 1
1 2 1
2 1 2
1 0 1
1 1 1
1 2 2
10 8
2 0 2
2 1 1
1 2 0
1 2 2
2 0 1
0 0 2
0 1 0
2 0 0
2 2 1
0 1 2
10 5
0 2 2
1 2 1
0 0 0
2 1 1
2 0 0
2 0 1
2 2 2
0 1 2
2 2 1
1 1 2
10 9
1 2 0
2 2 1
1 1 1
0 1 0
1 0 1
1 0 2
1 1 2
0 2 0
2 0 1
2 1 1
10 7
3 0 1
3 3 3
2 2 0
1 2 1
3 3 1
3 2 1
3 0 0
2 0 0
0 0 3
2 3 2
10 2
2 0 1
1 1 0
0 0 1
0 1 0
2 2 2
1 1 1
0 1 2
2 1 0
0 0 2
0 2 0
10 5
3 2 1
1 2 2
3 1 1
2 2 0
1 0 1
0 3 0
2 1 2
0 1 0
1 2 3
2 0 3
10 2
1 2 0
0 2 1
2 2 2
0 2 2
2 0 2
1 2 2
2 0 1
0 1 2
1 1 1
0 0 2
10 7
0 2 2
0 0 1
2 1 2
1 1 1
0 0 2
0 2 1
2 1 1
2 2 0
2 0 0
2 0 2
10 7
2 1 1
1 0 2
2 0 3
1 1 0
0 0 3
1 2 3
2 3 1
0 1 2
3 0 3
1 2 1
10 5
1 1 0
0 0 0
0 2 1
1 0 2
2 0 0
0 0 2
0 2 2
2 2 0
2 0 2
0 2 0
10 2
0 2 2
2 2 2
2 1 2
0 0 1
0 1 2
2 1 0
1 2 2
2 2 0
2 1 1
0 0 2
10 2
1 1 1
2 2 1
0 1 0
1 0 0
1 2 0
2 0 0
0 0 2
0 2 1
0 2 0
1 0 1
10 4
0 0 3
0 0 2
3 2 2
2 1 0
1 1 0
2 3 0
3 2 1
1 3 0
2 3 2
3 2 3
10 2
2 2 0
0 0 2
0 2 2
1 0 2
2 0 0
1 2 2
0 1 0
2 0 2
1 1 2
2 1 0
10 3
0 1 0
2 0 0
2 1 2
0 2 0
1 2 2
0 2 1
0 0 1
2 2 2
2 1 0
1 2 1
10 7
1 1 0
0 1 2
1 0 1
0 1 1
1 2 0
1 2 2
0 0 0
0 2 0
2 2 2
2 0 2
10 3
3 0 0
0 0 2
3 3 1
1 3 1
1 1 2
1 0 3
0 3 3
3 0 3
1 1 1
3 2 1
10 7
1 1 0
1 1 1
1 2 2
2 2 2
2 2 1
0 0 0
1 0 2
1 1 2
0 2 0
0 1 2
10 3
1 2 2
0 1 1
2 2 1
2 1 0
2 0 1
0 0 2
2 2 0
1 0 2
2 0 0
0 2 2
10 3
1 3 3
1 1 0
2 2 2
2 3 3
1 1 2
3 3 0
3 0 1
3 1 0
1 1 3
0 2 1
10 7
0 0 2
2 0 0
2 1 2
2 0 2
1 0 0
0 2 1
1 1 0
2 2 2
0 2 2
1 0 2
10 8
2 1 2
2 0 0
2 1 0
3 0 3
0 2 1
1 0 3
1 2 2
3 3 0
2 2 0
2 2 2
10 8
1 0 0
0 2 0
1 0 1
1 2 0
2 1 0
2 0 1
2 1 2
0 0 0
0 1 1
1 1 2
10 6
0 2 2
1 2 2
2 2 1
2 1 1
0 1 2
2 0 1
0 2 1
1 1 2
0 1 1
2 0 0
10 3
1 1 2
0 0 0
0 1 1
1 0 1
2 2 2
2 2 1
1 2 0
0 2 2
1 1 1
0 0 1
10 6
0 2 3
3 2 3
0 0 2
0 1 0
0 1 2
1 0 3
0 0 1
0 2 1
3 1 3
3 3 0
10 2
0 0 3
2 3 3
3 1 3
0 3 1
2 1 2
3 0 1
1 0 2
1 0 0
3 1 0
0 1 3
10 9
2 1 1
3 1 3
3 0 3
2 2 0
1 2 2
2 3 0
3 1 2
3 1 1
2 1 3
0 3 3
10 8
2 1 0
1 2 2
1 1 1
0 0 0
0 1 1
0 0 1
1 0 1
0 2 0
2 0 0
2 0 1
10 5
2 0 0
1 1 2
1 0 1
0 1 0
1 1 0
0 0 0
2 1 0
1 2 1
0 2 1
2 2 2
10 6
2 0 1
2 2 2
1 0 2
2 0 0
0 0 2
0 2 1
0 1 1
0 2 2
1 1 1
2 2 0
10 5
0 1 0
1 0 2
1 2 1
1 1 0
2 1 2
2 2 2
0 2 0
0 2 1
2 1 1
2 2 0
10 8
1 1 0
2 1 3
2 2 0
2 3 2
1 0 2
0 3 3
1 1 3
1 3 2
1 2 3
3 0 2
10 9
3 1 0
1 3 0
2 3 2
1 1 0
2 0 3
2 2 3
2 1 2
1 1 2
1 3 2
3 3 2
10 3
2 1 2
2 0 2
2 2 0
1 2 2
0 0 0
0 2 1
1 2 0
2 1 1
0 1 2
1 1 0
10 8
1 0 0
1 2 1
2 0 2
0 0 1
0 1 1
0 2 2
2 2 0
2 1 0
0 0 0
1 2 0
10 9
3 0 2
0 1 3
2 3 1
1 0 1
1 3 0
0 3 3
3 1 3
3 1 2
2 2 0
1 2 3
10 8
2 2 0
1 0 2
1 2 0
0 2 0
2 1 2
2 1 1
1 0 0
1 0 1
2 0 2
0 1 2
10 2
2 1 0
1 1 0
2 1 1
0 2 0
1 2 0
2 2 2
1 0 0
0 0 0
2 1 2
2 0 1
10 3
2 0 0
1 2 0
1 2 1
2 1 1
0 2 1
1 1 1
2 2 0
1 2 2
0 1 1
2 1 0
10 7
0 2 1
2 0 0
0 2 2
0 1 1
2 1 1
1 2 2
2 2 0
2 2 2
1 2 0
0 0 1
10 5
0 0 1
0 2 0
2 2 1
2 2 2
2 0 2
1 1 1
0 2 1
1 1 2
0 1 2
1 2 1
10 6
0 0 2
0 1 0
2 0 0
1 0 1
2 1 1
0 2 1
0 0 0
1 2 1
1 2 0
2 2 2
10 6
2 2 1
2 0 0
2 0 1
0 2 0
0 0 0
1 0 2
0 0 2
0 1 1
2 1 2
2 1 1
10 4
0 3 2
2 0 3
1 0 1
2 1 0
0 2 3
2 2 3
2 1 3
0 2 0
0 2 2
1 1 0
10 9
2 2 3
3 3 0
3 1 0
0 3 2
2 1 1
3 3 1
1 3 0
0 0 2
2 1 0
1 3 1
10 7
2 0 2
0 1 0
1 1 0
2 2 2
2 2 1
0 0 0
1 1 1
2 0 0
2 0 1
1 2 1
10 3
1 2 1
3 2 1
0 3 1
1 0 2
2 1 3
3 2 0
0 2 3
1 1 1
2 0 1
2 3 1
10 7
2 3 2
0 3 1
1 3 1
1 3 2
2 3 3
0 1 0
0 3 0
3 0 2
1 2 2
3 3 1
10 9
0 1 1
1 3 2
3 2 3
0 2 3
3 1 2
2 3 0
1 1 0
1 3 0
1 0 1
1 0 3
10 7
2 2 2
1 0 2
0 0 0
0 0 2
1 1 2
1 0 0
0 1 1
0 1 2
0 2 2
1 1 1
10 6
3 3 2
3 1 1
1 0 3
2 1 0
0 0 0
3 1 0
2 2 0
3 3 0
2 1 2
1 3 3
10 9
0 1 3
2 3 0
3 0 2
2 3 2
1 1 3
0 2 1
0 1 0
2 0 1
1 0 0
2 3 1
10 8
0 0 0
2 2 3
3 1 1
3 0 1
3 0 0
1 1 3
3 0 3
1 0 3
3 0 2
3 2 1
10 3
3 2 3
3 2 1
0 0 3
1 3 2
1 0 0
2 2 0
2 3 1
3 1 2
2 1 1
1 0 3
10 3
2 0 2
0 2 1
1 2 1
2 2 0
2 1 2
0 2 0
0 0 1
2 0 1
2 1 0
1 0 0
10 6
1 0 2
2 1 1
1 0 1
2 2 0
2 1 0
1 2 1
0 2 0
1 0 0
0 1 0
0 1 1
10 3
1 0 1
0 3 3
2 1 2
0 0 3
2 0 3
2 3 3
0 1 2
3 0 0
2 3 0
2 3 2
10 8
3 3 2
0 2 2
0 3 3
3 2 1
0 3 2
0 1 3
1 1 1
1 0 0
2 0 1
3 1 1
10 5
2 2 1
1 0 2
2 2 2
2 0 2
2 1 0
0 0 2
1 2 0
0 2 0
0 1 1
2 1 1
10 5
1 1 1
2 2 0
1 2 0
3 1 0
0 0 2
1 0 1
1 0 2
1 3 1
2 1 0
0 1 1
10 7
3 0 2
2 0 2
1 1 3
1 3 0
3 0 0
1 0 2
2 3 2
1 2 2
3 1 0
3 1 1
10 6
0 1 1
1 1 3
0 1 0
2 3 3
0 1 3
1 2 1
2 1 2
2 0 1
2 2 2
1 3 3
10 6
2 0 3
2 1 1
2 3 2
0 3 2
1 1 0
3 3 3
2 2 0
0 2 3
3 3 0
0 0 0
10 5
3 2 0
0 0 3
1 2 1
2 3 1
1 3 1
3 1 1
3 3 0
3 3 2
0 1 0
3 3 1
10 2
3 0 3
2 1 3
0 0 2
1 2 1
3 1 2
0 1 0
2 0 2
3 0 2
0 3 0
1 1 0
10 9
0 2 1
2 2 2
0 0 0
1 0 2
0 2 0
0 2 2
0 0 2
1 1 0
0 1 2
2 1 0
10 7
1 1 2
0 0 0
2 2 2
3 3 1
1 3 2
3 3 0
0 3 3
0 1 0
0 3 1
3 0 2
10 5
2 1 0
2 1 2
0 1 2
1 2 2
0 2 0
2 0 2
2 2 1
0 0 2
1 0 0
2 0 0
10 8
2 2 1
2 1 1
2 2 2
2 2 0
2 0 1
0 0 2
1 2 1
0 2 0
2 0 0
0 0 1
10 3
0 2 2
0 1 0
0 0 1
1 0 1
2 2 1
1 2 1
1 0 2
1 0 0
0 1 2
2 0 1
10 8
1 1 2
0 2 0
2 0 1
0 1 1
1 1 1
0 1 2
0 2 1
1 0 0
2 2 0
2 0 2
10 4
2 1 0
2 1 1
1 0 1
0 2 0
1 0 2
0 2 2
0 2 1
0 0 2
1 1 1
0 1 0
10 7
3 3 2
2 0 2
2 3 1
3 3 0
2 3 2
1 0 2
2 2 3
3 0 3
1 1 1
3 1 3
10 7
1 0 2
1 3 3
2 1 1
0 1 1
0 2 3
2 0 1
3 2 3
3 2 0
1 1 2
3 3 1
10 5
1 3 2
3 0 2
3 1 2
2 2 0
1 1 0
3 2 2
3 0 3
2 3 1
2 2 3
1 0 0
10 8
0 2 3
2 1 1
1 2 3
1 1 1
0 2 2
1 3 3
2 1 2
0 1 2
1 0 3
0 2 0
10 6
1 1 2
3 3 1
0 3 1
2 2 2
2 1 2
2 0 2
1 1 1
3 2 3
3 3 0
2 3 3
10 9
3 2 3
3 0 3
2 2 0
2 0 0
1 2 3
0 0 2
2 1 3
0 3 1
3 1 3
1 0 0
10 2
1 2 2
2 1 1
2 0 0
0 0 1
1 0 2
1 1 1
2 2 0
0 1 2
0 2 0
1 1 0
10 7
2 0 1
1 1 1
1 0 1
0 2 2
1 1 0
2 0 2
2 2 0
2 2 1
0 1 2
1 0 0
10 9
1 2 2
3 3 0
1 2 1
2 3 3
2 2 2
2 0 0
2 0 2
3 3 3
2 3 0
3 1 0
10 6
2 1 0
2 1 2
1 0 0
1 1 1
1 2 2
2 0 0
1 0 2
0 1 1
1 2 0
1 1 0
10 5
0 2 0
1 1 3
2 0 3
2 2 1
0 0 1
1 2 3
0 2 3
2 2 2
3 0 1
0 3 2
10 5
2 1 3
2 0 1
2 1 2
1 2 2
2 2 1
3 3 2
3 1 1
2 3 1
0 2 0
2 0 0
10 8
2 2 0
1 0 1
0 0 0
1 1 2
0 0 1
0 2 1
1 2 1
0 0 2
2 0 1
1 0 0
10 3
3 2 1
2 3 3
0 1 1
2 3 0
2 0 2
2 1 1
3 0 0
3 3 3
2 3 1
0 3 3
10 9
1 1 0
2 1 1
2 1 2
2 2 0
0 2 2
0 1 0
1 2 0
2 2 1
1 2 2
1 1 2
10 6
0 2 1
1 0 3
1 2 3
0 0 1
0 0 0
2 1 2
2 0 1
0 1 2
2 1 0
3 1 0
10 9
2 2 1
1 1 1
0 1 2
0 0 1
0 0 2
2 0 0
0 1 1
1 2 1
1 0 1
0 0 0
10 9
2 2 2
0 0 0
2 3 1
3 2 2
2 3 0
2 1 1
1 0 1
2 0 0
3 3 2
3 0 1
10 8
2 0 0
2 2 1
2 2 0
1 2 2
2 2 2
1 1 1
0 2 0
1 2 0
1 0 2
0 1 0
10 4
1 2 3
0 1 2
2 3 3
1 3 2
2 0 0
3 2 2
0 0 3
2 1 2
0 2 1
2 2 1
10 8
0 0 0
1 1 1
2 0 2
2 1 2
0 2 2
0 1 0
1 0 1
1 0 0
1 2 0
2 2 2
10 9
2 2 0
3 3 1
0 1 2
1 2 3
2 3 2
3 2 1
2 1 2
0 2 2
2 1 3
3 1 1
10 2
0 0 1
2 1 2
2 1 0
1 1 2
0 2 0
0 2 2
0 0 0
0 0 2
2 0 1
0 1 1
10 8
0 1 2
2 1 3
1 1 1
2 2 0
0 3 0
1 1 0
2 1 0
0 1 0
0 2 1
3 3 3
10 2
3 2 3
1 1 1
1 2 3
2 0 1
1 2 0
3 0 3
1 2 1
1 3 1
1 0 2
2 2 3
10 2
2 0 2
3 1 0
0 3 3
2 1 0
3 2 1
2 1 2
1 2 0
0 0 3
1 1 0
0 3 2
10 5
2 2 1
1 1 2
1 2 3
0 3 0
1 3 3
2 3 1
3 3 3
3 3 2
1 3 1
3 2 3
10 9
0 3 2
2 3 0
3 3 2
1 3 3
0 1 3
1 2 3
3 2 1
1 0 3
3 1 2
1 2 0
10 9
2 0 0
1 0 1
1 1 1
0 0 0
1 2 1
0 2 2
0 1 0
0 2 1
1 2 0
1 2 2
10 8
2 3 0
0 2 2
1 3 2
3 3 0
0 2 3
2 0 2
3 3 3
2 3 3
1 0 3
2 0 3
10 7
2 0 1
2 3 1
2 2 0
3 1 3
0 3 2
0 0 2
1 1 0
1 3 3
0 1 0
2 2 3
10 4
0 2 2
2 2 1
2 0 2
3 0 1
0 1 3
0 0 3
2 3 2
0 3 0
0 2 1
3 1 1
10 8
2 2 1
1 1 0
1 2 0
1 0 2
0 2 0
2 1 0
2 0 2
1 0 0
0 0 2
0 1 2
10 5
1 0 1
0 1 1
0 0 1
1 1 0
1 2 2
0 2 0
1 1 1
1 2 0
1 2 1
0 0 0
10 9
1 2 2
3 1 3
0 2 1
1 2 3
1 1 0
2 0 3
0 0 1
2 2 1
3 0 0
2 3 1
10 8
3 1 1
3 0 1
1 3 3
2 2 3
0 2 0
2 3 3
3 2 2
0 2 3
0 2 2
2 2 1
10 4
2 1 0
2 2 1
2 1 1
1 2 1
1 2 0
0 2 0
1 0 2
1 1 1
0 2 2
2 2 0
10 7
3 1 3
2 3 1
0 0 3
0 2 1
1 0 3
2 2 3
3 1 0
1 2 1
1 0 2
0 3 3
10 2
0 1 1
1 0 1
2 2 0
2 0 2
0 2 2
1 0 0
1 1 0
0 2 1
0 0 2
2 0 0
10 2
2 1 1
1 2 1
0 2 0
1 1 2
0 0 1
1 2 2
2 2 2
1 0 2
0 0 0
2 1 0
10 7
1 2 2
1 0 0
2 1 0
2 0 0
1 1 1
1 2 1
0 0 0
2 2 2
0 0 2
1 0 1
10 9
2 2 0
2 0 1
0 0 0
0 1 0
0 2 1
2 2 1
1 1 2
1 2 1
0 0 2
0 1 2
10 7
0 0 0
1 3 0
3 2 1
1 2 0
2 3 3
2 3 1
3 2 0
3 0 2
1 2 2
2 0 1
10 9
0 0 2
2 0 2
1 2 1
0 2 0
1 0 0
2 2 0
0 1 0
0 1 1
0 0 1
2 1 1
10 6
1 3 0
2 0 0
0 1 3
3 3 3
0 0 0
1 3 2
0 0 1
2 1 1
3 3 1
3 0 0
10 9
0 0 2
0 2 1
2 0 1
1 1 2
0 1 0
1 0 0
2 1 2
1 2 0
1 0 2
0 1 1
10 7
0 1 1
2 2 2
1 1 2
0 2 2
2 1 2
2 2 0
1 0 0
2 1 0
2 0 0
0 1 0
10 9
3 2 1
3 0 3
3 2 0
0 1 3
3 3 2
1 2 3
1 0 1
3 2 2
2 3 3
0 2 3
10 8
1 1 0
1 3 3
2 3 1
1 0 0
2 0 0
3 0 1
3 3 1
1 1 1
0 1 0
1 2 2
10 5
2 2 1
2 1 2
1 1 1
1 2 0
1 1 0
1 0 1
2 2 2
0 2 0
2 0 2
0 2 2
10 9
3 1 1
3 1 0
1 0 1
3 1 3
2 0 1
1 0 0
1 3 3
2 3 3
0 0 0
2 2 1
10 4
1 2 1
1 0 0
1 2 0
0 1 0
0 2 0
0 0 2
0 2 2
0 1 1
0 0 0
2 0 1
10 4
2 2 1
2 0 0
2 1 1
0 2 1
2 0 2
2 2 0
0 0 0
2 1 0
2 2 2
0 0 2
10 7
2 2 2
0 0 0
2 0 2
0 1 2
1 0 0
1 2 0
2 1 1
1 0 2
0 1 1
2 0 0
10 3
1 1 0
2 1 2
2 0 0
0 1 2
1 1 1
2 0 1
0 1 0
1 2 1
0 0 2
0 0 1
10 5
0 0 1
1 0 1
0 2 1
1 1 0
0 3 3
0 2 0
3 0 0
1 0 0
3 3 3
3 2 0
10 4
2 0 2
1 2 0
3 0 0
0 3 3
2 3 0
2 1 2
3 0 2
3 3 3
3 2 0
2 2 1
10 9
1 2 2
2 1 0
0 1 0
2 1 2
1 2 1
0 0 1
1 1 1
0 1 1
1 1 2
2 0 1
10 5
2 0 2
0 1 0
0 2 0
1 2 2
0 2 1
2 0 0
0 0 1
1 0 2
1 1 2
1 1 0
10 4
1 1 1
0 2 0
0 0 1
1 1 0
1 1 2
0 2 1
0 2 2
2 1 1
1 0 2
2 1 2
10 6
1 2 1
2 1 0
3 0 2
1 1 0
2 2 3
2 1 2
0 1 0
1 1 2
3 1 0
0 3 1
10 6
0 1 3
0 3 2
3 1 2
1 1 1
0 1 0
3 0 0
2 2 0
1 1 3
2 3 2
2 3 3
10 5
2 2 1
2 0 1
2 2 2
0 2 2
1 0 2
0 2 0
0 2 1
1 1 1
2 1 1
2 2 0
10 3
0 2 0
1 1 1
0 1 1
0 1 0
1 0 2
0 2 1
2 1 1
1 1 2
0 0 1
1 2 2
10 8
3 3 0
2 1 0
0 0 3
3 1 2
2 0 0
3 0 0
3 2 1
0 2 3
2 3 2
2 3 1
10 8
2 1 2
2 0 3
0 2 0
0 0 1
2 1 1
0 1 3
0 3 0
2 0 0
1 1 2
1 3 3
10 9
2 0 0
0 2 2
3 0 1
1 1 0
3 2 1
1 3 1
0 1 0
1 2 3
0 1 3
2 3 2
10 9
2 1 1
2 3 2
1 3 1
1 2 0
0 3 0
0 2 0
1 0 3
3 2 0
0 3 1
3 0 0
10 3
1 2 1
0 0 0
1 2 0
0 0 1
2 1 3
0 3 0
2 2 1
0 2 0
1 3 3
2 0 1
10 3
2 2 2
2 1 0
3 1 3
3 2 0
2 1 1
0 0 0
1 0 2
0 3 0
3 1 2
1 0 1
10 7
2 2 0
2 1 2
2 0 2
2 2 2
1 1 0
1 2 2
0 0 2
1 0 2
1 0 1
1 1 1
10 6
0 2 2
2 2 1
0 1 0
0 1 2
1 1 2
0 0 2
2 2 0
2 0 0
2 1 0
1 2 2
10 3
1 1 1
1 2 1
1 1 0
1 0 2
0 0 1
0 2 2
1 2 0
1 1 2
0 1 2
2 2 0
10 9
3 2 0
3 2 2
2 3 2
3 1 3
0 1 1
0 0 1
2 2 3
0 3 3
0 1 3
2 2 2
10 2
1 0 1
2 0 2
0 1 2
1 1 2
1 2 0
2 1 2
0 0 0
2 2 0
1 1 0
2 0 1
10 9
2 1 0
1 1 1
0 1 0
2 1 2
0 2 2
1 2 1
2 2 2
0 2 0
0 1 2
0 1 1
10 8
2 3 2
0 1 2
1 3 2
2 2 3
1 0 0
2 3 1
2 0 2
2 0 1
2 1 1
2 1 2
10 9
0 1 0
2 1 2
0 2 2
2 2 0
2 0 2
2 1 1
0 0 2
1 2 2
1 2 1
2 2 2
10 3
0 1 0
1 0 3
2 2 2
3 1 2
0 0 2
2 2 3
3 3 0
2 1 3
3 2 3
0 1 1
10 5
3 1 1
1 3 1
0 3 3
1 1 2
3 3 2
1 2 3
2 3 1
3 3 0
0 3 2
1 2 0
10 9
0 2 2
2 0 2
0 1 1
1 2 0
2 3 2
3 2 2
1 3 0
3 3 3
3 2 0
2 3 3
10 2
0 2 1
1 2 0
0 2 2
1 0 2
0 1 0
1 1 2
1 0 0
0 0 2
2 1 2
2 2 0
10 5
0 3 2
1 0 1
1 3 2
0 3 0
1 2 2
3 0 1
0 2 2
3 3 1
2 2 2
0 1 3
10 8
0 1 2
2 2 0
1 0 1
3 2 1
0 1 0
2 3 2
0 3 3
3 0 1
0 0 3
3 1 2
10 7
1 2 3
2 3 3
1 3 0
3 1 2
1 2 2
2 3 2
2 0 0
1 1 1
1 2 0
2 0 1
10 9
1 0 2
0 1 2
0 0 2
0 2 1
1 0 0
1 1 0
1 2 1
0 2 0
1 1 2
2 2 0
10 8
3 0 1
2 0 1
0 0 0
2 2 3
3 0 3
1 3 1
3 1 2
0 3 2
2 0 0
2 1 0
10 9
1 0 1
2 3 0
2 2 3
1 0 2
3 3 1
2 1 2
3 3 3
1 1 1
0 1 3
0 3 2
10 9
3 0 3
0 2 0
0 2 1
2 2 1
0 2 3
1 3 1
2 1 1
3 1 2
1 3 0
0 0 0
10 5
3 0 1
0 3 2
0 3 3
1 3 2
1 2 0
2 2 2
2 1 2
2 0 3
3 0 0
2 0 2
10 4
2 2 1
3 0 2
0 3 2
0 3 0
3 3 1
3 1 3
0 2 2
0 2 0
1 1 1
3 2 0
10 3
1 2 2
0 1 2
1 1 1
1 0 0
3 3 0
1 2 1
0 1 3
1 0 1
0 0 1
2 2 1
10 3
0 0 1
0 2 1
2 2 1
0 1 0
0 2 2
2 2 0
1 0 0
1 2 0
2 0 0
0 1 2
10 9
2 1 1
3 2 2
1 2 1
1 1 2
2 0 2
1 3 2
2 2 1
3 1 2
3 2 1
0 3 0
10 7
2 2 2
1 1 0
0 1 2
2 2 1
1 0 2
0 2 2
1 0 1
1 2 1
0 2 0
1 2 0
10 4
0 1 2
2 1 2
3 1 0
3 0 0
2 3 3
1 1 1
2 2 2
0 0 2
1 1 0
3 0 1
10 6
2 2 3
0 2 2
2 3 2
3 0 0
2 0 2
0 0 0
3 3 0
1 1 1
1 3 2
2 1 2
10 8
2 1 1
0 0 0
0 3 1
3 3 3
0 0 1
1 1 0
2 0 1
1 2 3
0 3 2
3 1 0
10 8
3 3 3
3 0 2
2 1 3
2 1 0
2 3 2
2 2 0
1 3 0
3 0 0
1 0 0
2 0 2
10 2
0 0 2
2 0 0
1 1 1
0 2 1
0 1 0
2 1 0
2 1 1
0 0 0
0 1 2
2 2 1
10 9
0 2 2
1 1 0
1 0 1
2 2 2
2 0 2
0 0 1
0 2 1
1 2 1
1 1 1
0 0 2
10 6
2 0 0
2 2 2
0 1 0
0 0 2
2 0 2
0 1 2
2 1 1
2 1 0
1 0 0
2 2 1
10 3
2 2 0
1 0 0
2 0 0
1 2 0
0 2 0
0 2 1
2 1 1
2 2 2
0 0 2
1 0 2
10 8
1 1 0
1 1 1
1 0 0
0 1 0
1 2 1
0 0 1
0 0 0
0 2 1
2 0 2
0 2 0
10 6
1 2 2
1 2 1
2 2 0
2 1 2
0 0 1
0 2 1
1 1 1
0 1 0
0 0 0
2 0 0
10 6
1 1 3
1 1 2
2 1 2
1 0 1
1 1 1
0 1 2
3 1 3
1 2 2
3 0 0
3 2 2
10 8
3 1 3
3 0 3
1 0 3
2 1 2
1 1 1
2 1 3
1 2 3
2 3 3
1 0 2
3 0 1
10 3
0 0 1
1 1 2
0 3 1
3 0 0
3 0 2
2 3 3
0 1 1
0 1 3
1 2 1
3 2 0
10 5
1 1 1
2 2 1
1 2 0
1 0 0
1 1 0
0 0 1
0 2 0
0 0 2
2 1 0
2 0 2
10 8
0 2 0
2 2 0
2 1 1
1 2 1
0 1 0
1 1 0
1 0 1
2 1 0
1 0 2
0 1 1
10 3
0 2 1
3 1 1
2 0 0
2 2 0
0 2 0
0 2 3
1 3 2
0 3 3
3 1 2
1 2 2
10 2
2 1 1
0 2 2
0 2 1
2 0 1
0 2 0
2 2 2
1 2 1
1 1 1
1 0 1
2 0 2
10 8
0 1 2
3 1 3
0 3 1
1 2 0
3 2 0
2 2 3
0 3 0
2 1 1
2 1 2
3 3 1
10 3
1 3 0
3 0 0
3 1 0
0 1 0
2 0 1
3 1 2
1 2 0
0 0 3
0 3 0
2 3 2
10 4
2 1 1
2 2 0
0 2 0
1 1 0
0 2 2
0 0 1
2 2 2
2 2 1
1 2 1
1 0 0
10 2
3 0 2
2 3 2
2 1 1
0 1 3
1 2 1
3 2 1
3 0 0
1 0 1
3 3 2
1 0 2
10 3
1 3 2
2 0 3
1 0 1
3 2 3
0 1 0
1 2 3
1 1 1
1 1 3
3 0 3
3 3 3
10 2
3 1 3
3 1 2
3 3 2
0 1 2
2 0 1
0 3 3
1 1 2
2 1 1
1 3 2
1 1 1
10 5
3 3 1
0 2 0
2 1 1
2 3 0
1 1 0
3 0 0
0 3 1
2 2 1
1 1 3
2 2 2
10 3
1 2 0
1 1 0
2 1 0
1 2 1
0 2 0
1 0 2
2 2 2
0 2 1
1 1 1
1 2 2
10 5
3 2 0
2 1 2
2 3 0
3 0 0
3 1 3
1 0 2
0 1 1
3 1 0
2 0 1
0 1 3
10 6
0 2 1
3 2 3
1 3 3
1 3 2
3 1 1
0 2 2
1 2 3
0 1 2
1 0 2
2 0 2
10 9
2 0 1
1 2 0
0 0 2
2 0 0
1 0 1
0 0 1
1 2 2
2 2 0
1 0 2
0 1 2
10 6
0 1 1
2 2 2
0 0 2
1 2 1
0 1 0
2 2 0
2 0 0
2 1 1
2 1 0
0 2 1
10 3
0 1 1
0 2 0
1 2 0
1 0 2
1 1 0
2 1 0
2 1 2
0 0 2
2 2 2
1 2 1
10 5
0 0 2
1 0 2
1 0 1
2 1 0
2 0 0
2 0 1
2 2 1
1 1 2
0 1 1
2 2 0
10 3
2 3 3
1 2 3
3 1 2
2 1 3
1 2 2
1 3 0
3 3 2
3 2 3
3 0 1
0 1 0
10 4
0 0 0
1 2 2
2 2 1
2 2 2
1 1 1
0 2 2
2 1 0
0 1 1
2 2 0
2 1 2
10 5
0 2 0
2 1 0
1 0 2
1 1 1
1 0 0
1 2 0
1 1 2
1 0 1
0 0 1
1 2 2
10 2
1 1 0
1 0 1
2 2 0
1 2 1
0 1 0
0 2 1
1 2 2
1 0 2
2 1 2
1 1 2
10 8
3 3 1
0 0 1
0 0 0
3 2 1
0 0 3
1 0 3
0 3 2
1 3 3
0 2 2
2 0 1
10 6
0 1 0
2 1 0
0 0 1
2 0 0
1 2 2
0 0 2
2 1 1
2 1 2
0 2 0
0 2 1
10 5
2 0 1
2 2 0
2 1 2
0 0 0
2 1 1
0 1 0
2 2 2
0 0 1
1 2 1
1 0 2
10 7
0 2 2
1 2 1
2 2 1
0 1 2
2 1 0
2 0 2
0 1 1
2 0 1
0 2 0
0 0 1
10 4
0 2 0
1 0 2
1 1 2
2 2 2
1 0 0
2 0 0
0 1 1
1 2 1
0 0 1
2 2 0
10 7
1 0 2
1 1 2
1 2 2
0 2 0
0 1 2
2 0 1
0 2 1
2 2 0
2 0 2
1 0 1
10 4
2 3 0
1 2 3
1 1 2
0 0 1
0 2 3
0 1 2
3 1 3
0 2 2
1 2 0
2 3 3
10 8
1 1 2
2 2 2
1 0 1
2 0 2
0 2 2
1 2 2
0 0 0
0 2 1
1 2 0
2 1 2
10 8
3 1 2
3 0 3
2 0 0
2 1 3
2 2 0
3 0 2
1 1 3
1 2 3
1 3 3
3 0 1
10 9
1 3 1
3 3 3
3 2 1
2 3 1
2 1 2
3 0 3
0 2 0
1 1 0
2 3 0
1 1 1
10 3
1 1 1
0 1 2
2 1 2
1 1 0
0 1 1
2 2 2
2 2 1
1 2 2
2 0 1
2 0 0
10 7
2 1 0
1 2 1
3 1 3
2 0 3
0 0 2
2 0 1
3 2 2
1 3 2
2 3 3
2 2 1
10 7
3 2 0
1 2 3
2 0 3
2 2 2
0 1 1
3 2 3
0 2 3
2 1 2
0 0 2
3 0 1
10 9
1 0 0
2 1 1
0 1 1
2 2 1
0 0 2
0 1 0
1 1 0
1 2 2
1 0 1
2 0 1
10 6
3 1 3
3 0 0
2 1 3
1 0 1
0 2 2
3 2 3
3 3 1
1 2 0
3 1 0
3 3 0
10 2
2 0 0
1 0 0
0 0 0
0 1 1
1 2 0
2 2 2
1 1 1
1 1 2
2 1 1
1 2 2
10 6
0 0 1
2 1 0
1 2 1
1 1 2
1 2 0
2 2 2
2 1 2
2 2 0
0 1 1
1 2 2
10 4
2 1 0
1 0 0
1 2 1
0 2 1
2 0 0
2 0 1
1 2 0
2 1 2
0 0 2
2 2 1
10 2
3 2 3
2 2 3
2 2 2
1 2 1
2 3 1
0 0 0
2 0 0
0 0 1
1 1 2
2 0 3
10 6
1 0 1
0 1 0
2 2 0
0 1 2
2 0 0
1 2 0
2 0 1
0 2 1
1 2 1
2 0 2
10 9
3 2 2
2 3 1
2 0 3
3 0 0
3 2 3
0 2 2
0 2 3
1 0 0
0 1 3
2 3 0
10 6
2 3 3
3 1 0
0 1 1
2 1 3
0 1 2
1 2 1
0 1 0
1 2 3
0 3 3
3 0 2
10 4
0 2 2
1 2 1
1 2 2
1 1 0
0 1 1
0 1 2
2 2 1
0 1 0
2 1 0
2 1 2
10 2
1 1 1
1 1 0
2 1 0
0 2 2
1 0 2
2 1 1
1 1 2
0 0 0
0 2 1
2 0 2
10 8
1 2 2
1 2 0
0 0 1
0 1 1
2 2 1
0 0 0
0 2 2
1 2 1
1 0 1
2 0 0
10 5
1 3 2
1 0 1
2 0 2
0 2 2
0 0 2
0 3 2
1 3 1
1 1 0
3 0 1
2 3 1
10 8
3 3 0
1 0 3
3 2 0
1 3 3
1 0 1
1 2 1
3 1 3
1 2 0
0 1 1
2 0 1
10 9
2 1 0
0 0 0
1 1 0
0 2 2
2 1 1
2 1 2
1 0 2
0 0 1
1 0 0
0 2 0
10 5
1 1 2
0 0 0
3 1 1
1 3 3
1 2 0
3 1 3
0 0 1
1 0 2
2 3 0
0 2 1
10 3
2 0 2
1 0 3
3 0 1
3 0 3
1 1 3
2 1 1
0 1 1
0 0 0
0 2 1
0 2 0
10 6
0 2 1
0 1 1
1 0 0
1 1 2
2 1 2
1 0 1
1 0 2
1 2 2
1 1 1
0 0 2
10 4
0 0 2
1 2 2
2 1 0
1 1 0
1 1 2
0 0 1
2 2 1
2 1 2
2 0 0
2 0 1
10 7
1 1 0
0 1 0
0 1 2
2 0 2
1 2 1
2 2 0
0 2 0
0 0 0
1 2 2
2 1 0
10 7
0 2 3
3 1 2
2 3 1
3 1 0
1 1 2
0 0 0
1 2 0
2 3 3
3 2 3
2 0 0
10 6
0 2 3
2 1 1
0 1 2
0 2 1
3 0 1
1 1 0
3 0 2
1 3 3
0 0 2
3 2 0
10 2
2 0 3
2 2 0
2 0 1
2 3 0
0 0 2
0 0 3
0 2 2
0 3 3
3 2 2
3 1 1
10 2
0 2 0
2 0 2
0 0 1
0 2 1
2 2 1
0 1 0
2 1 2
0 2 2
1 2 1
1 2 2
10 5
0 2 1
2 0 0
0 2 2
0 1 0
1 2 2
0 2 0
1 2 0
1 0 2
2 0 1
1 1 0
10 9
2 2 1
1 1 0
1 0 0
0 1 2
1 2 1
2 2 0
2 1 1
1 1 1
0 2 2
2 1 2
10 5
2 0 2
1 3 3
0 3 2
1 1 1
1 0 0
2 3 1
0 2 3
1 0 3
0 1 3
3 1 0
10 5
0 2 0
2 1 2
1 2 0
1 3 0
0 1 2
3 3 1
0 0 0
0 3 3
3 0 3
2 0 2
10 7
1 0 2
1 2 0
1 1 2
2 0 2
2 1 1
2 2 1
0 2 0
2 2 2
0 2 1
1 0 0
10 2
1 0 0
1 1 0
1 0 2
2 1 2
1 2 2
2 2 0
0 1 2
0 0 0
0 0 1
0 1 1
10 2
0 0 2
2 1 2
2 0 0
1 2 0
1 2 2
1 0 1
1 0 0
2 2 2
0 1 0
0 1 2
10 7
3 1 3
1 3 2
1 3 0
2 3 2
1 2 1
0 3 3
1 1 0
2 3 0
0 2 1
0 0 0
10 2
2 2 1
2 3 0
3 0 3
2 0 2
3 3 2
0 3 1
3 3 1
0 0 3
1 0 0
0 3 0
10 8
1 0 0
1 2 1
2 2 0
1 2 0
2 2 1
0 1 1
2 1 2
0 2 2
1 1 1
1 1 0
10 9
1 3 3
0 2 1
1 2 3
3 2 1
3 0 3
0 3 0
3 2 0
3 1 2
1 0 3
1 3 2
10 7
2 1 2
0 0 0
0 2 0
0 0 1
1 1 2
2 2 2
0 1 0
1 1 0
1 0 1
1 0 2
10 2
0 0 0
0 1 2
0 2 2
2 2 0
1 1 1
2 0 2
1 2 0
0 2 1
0 0 2
1 2 1
10 8
1 0 2
1 3 3
1 2 2
0 2 0
3 1 2
3 3 2
0 2 3
3 3 1
3 0 1
2 3 3
10 5
1 0 1
1 0 2
0 1 3
0 2 1
1 3 3
1 3 0
2 2 2
2 0 1
2 2 3
2 0 3
10 2
2 3 3
0 0 2
1 3 0
3 1 0
0 1 3
2 0 3
0 0 1
3 3 1
0 0 0
0 1 2
10 5
2 2 1
1 0 2
1 1 1
2 0 2
0 2 0
1 1 0
1 0 1
1 0 0
0 0 1
2 2 2
10 9
1 1 0
0 2 0
3 3 0
3 3 1
0 3 2
3 0 3
1 3 0
3 3 2
1 3 1
2 2 3
10 8
1 0 0
2 1 2
0 1 2
2 1 1
1 1 0
1 1 2
2 0 1
1 0 1
0 0 1
2 2 1
10 5
2 2 2
1 0 0
0 0 0
1 1 0
1 0 1
1 2 0
1 1 1
0 0 1
1 1 2
1 2 2
10 5
1 3 1
0 0 1
0 0 0
1 2 2
0 3 2
0 1 1
0 2 2
3 3 1
3 2 3
0 1 2
10 5
0 1 2
2 1 2
1 1 2
1 1 1
2 0 1
0 1 1
1 1 0
0 1 0
0 0 1
2 0 2
10 6
2 0 3
0 2 0
0 1 1
0 0 0
0 1 0
1 3 1
1 2 3
3 1 2
2 0 2
1 1 2
10 4
0 2 0
0 1 3
0 0 3
0 3 1
0 3 0
3 0 2
0 2 3
3 1 3
3 1 0
3 3 2
10 9
1 1 1
1 3 2
1 0 2
3 1 1
3 3 3
1 2 3
2 0 2
1 2 1
0 1 0
0 0 0
10 6
0 0 0
2 1 2
2 2 0
0 2 0
0 0 1
1 2 0
2 0 1
0 1 0
0 2 2
0 1 2
10 8
1 0 2
0 3 1
1 3 2
2 2 2
0 0 2
3 2 0
1 3 1
3 0 3
2 0 0
3 3 1
10 2
0 2 2
3 0 0
2 1 3
3 0 1
3 3 3
2 2 3
2 3 1
2 1 1
3 3 1
0 0 3
10 3
0 2 1
1 1 1
1 2 1
2 2 1
1 1 0
2 2 2
1 2 2
0 0 2
2 1 0
0 1 2
10 4
0 1 0
0 1 2
2 1 1
1 2 2
2 2 0
2 2 2
2 0 1
1 1 2
1 0 0
1 2 0
10 5
2 3 2
1 3 0
1 2 2
1 3 3
2 1 3
0 1 3
2 2 1
3 3 1
1 0 2
3 3 3
10 6
2 3 2
1 3 2
0 1 0
1 1 1
2 2 3
0 1 3
3 0 3
1 2 0
0 0 2
2 0 0
10 3
2 3 1
3 3 0
0 3 0
2 3 0
1 0 0
3 1 2
0 2 0
0 0 1
2 3 2
0 0 3
10 9
1 0 1
2 2 2
0 1 0
1 1 1
2 0 2
1 1 2
2 1 2
0 1 1
2 0 0
0 2 1
10 3
2 2 2
2 0 2
0 2 0
0 1 1
0 2 1
0 2 2
0 1 0
2 1 2
0 0 0
1 1 0
10 5
1 0 0
2 0 2
0 2 3
0 3 3
1 1 1
0 0 0
3 0 1
2 2 1
3 0 2
1 0 2
10 3
2 0 2
1 0 0
0 0 1
3 1 0
0 1 1
1 3 3
3 0 3
0 3 2
1 0 1
2 2 0
10 8
0 2 0
2 2 1
0 0 1
1 1 0
2 1 1
0 2 2
0 1 0
0 0 0
2 1 0
2 0 1
10 3
2 2 0
1 0 0
2 0 2
0 0 0
1 1 2
0 2 2
2 1 1
1 2 0
1 1 0
2 2 2
10 9
1 2 0
2 0 2
1 0 2
1 2 1
0 2 0
1 2 2
0 1 0
2 2 0
0 0 0
1 1 0
10 3
0 1 2
2 1 2
0 2 1
0 2 0
2 1 1
0 2 2
0 0 1
2 2 2
2 0 1
2 1 0
10 3
1 2 1
1 0 0
0 1 0
0 0 3
0 3 1
3 3 0
3 1 3
0 2 2
3 2 3
2 2 0
10 7
0 3 3
3 1 0
3 2 3
1 1 1
1 1 3
2 3 3
3 0 0
1 0 1
0 2 0
3 0 2
10 7
1 0 2
2 0 0
0 2 0
2 1 1
2 0 2
1 1 2
2 2 0
1 0 1
1 0 0
0 1 0
10 6
1 0 0
1 1 0
2 3 0
2 2 2
0 0 1
1 3 2
0 1 3
2 0 1
3 3 2
1 3 3
10 4
0 0 1
0 2 3
3 3 3
2 1 2
3 2 3
0 2 1
3 0 3
3 2 2
2 0 3
1 1 3
10 9
2 3 3
1 0 1
2 3 2
1 2 3
2 1 0
2 1 3
3 2 2
0 0 3
3 2 3
2 2 1
10 9
3 1 1
0 2 2
1 3 3
0 1 0
2 1 2
0 3 3
3 3 3
3 3 2
2 3 0
2 3 1
10 3
2 1 1
0 2 1
1 0 0
2 1 0
0 1 2
1 1 2
0 1 0
0 2 2
1 2 0
0 0 2
10 2
3 1 1
3 0 2
1 1 1
2 2 0
2 1 3
1 2 0
3 0 3
3 3 1
1 3 2
1 1 0
10 2
0 0 0
1 1 0
2 0 0
1 0 1
0 0 2
1 1 1
0 2 2
2 0 2
2 1 0
0 2 0
10 7
2 2 2
1 0 1
1 1 1
0 2 2
1 2 2
0 0 1
1 2 1
0 2 1
1 0 2
0 1 1
10 3
0 0 2
1 0 0
0 2 1
2 2 0
2 1 0
1 1 0
1 2 2
0 1 1
0 0 1
2 2 2
10 7
2 0 1
1 2 1
2 1 1
0 0 2
2 1 0
0 0 0
0 1 1
2 0 2
1 0 1
2 0 0
10 8
2 0 1
0 1 1
1 0 2
0 2 1
2 2 2
0 1 0
2 1 2
1 1 1
2 1 0
2 2 0
10 4
2 1 0
1 0 2
1 1 2
0 2 1
2 2 0
1 1 1
1 0 1
2 1 1
2 0 1
0 0 0
10 5
0 0 2
0 2 2
1 0 1
2 2 2
0 1 0
1 2 2
1 0 0
2 0 0
2 1 1
0 2 1
10 8
2 3 1
2 1 3
0 0 2
1 2 1
1 1 2
1 0 2
2 0 2
3 0 1
1 0 0
3 2 2
10 9
0 1 2
2 3 0
0 3 0
2 1 0
1 0 3
0 1 1
1 3 0
0 3 1
1 3 1
3 0 1
10 3
0 3 1
2 1 2
0 1 1
3 1 3
2 3 0
0 2 1
3 2 3
0 1 0
2 1 1
0 3 0
10 8
2 0 2
0 1 0
0 2 0
2 2 1
2 2 2
0 2 1
0 1 2
1 2 1
1 2 0
0 0 2
10 4
2 1 3
2 2 3
2 2 0
2 1 0
0 1 3
0 1 1
2 2 1
3 0 0
0 3 3
1 1 1
10 2
2 2 1
0 2 2
0 2 1
0 1 2
2 1 0
1 1 2
1 2 1
2 1 2
0 1 1
2 0 1
10 5
2 3 2
3 2 1
0 1 3
0 3 2
3 2 0
2 1 1
1 0 3
0 2 2
3 2 3
2 0 1
10 8
2 1 0
0 0 2
0 2 2
2 0 1
0 1 0
2 2 2
2 2 1
1 0 1
1 2 1
1 2 0
10 9
2 0 2
0 2 0
2 2 0
0 2 2
1 1 0
2 1 1
1 0 1
2 0 0
0 0 0
0 0 2
10 8
1 0 1
1 3 0
2 2 2
0 3 2
0 0 2
3 2 0
0 1 0
1 1 1
2 3 0
2 1 0
10 7
2 0 0
2 2 1
0 1 0
1 2 2
1 1 1
2 0 1
1 1 0
2 1 2
0 2 2
0 1 2
10 5
0 1 2
1 2 0
2 2 2
0 0 1
1 0 1
1 1 2
0 0 0
1 1 0
2 1 2
1 0 0
10 6
2 0 1
2 0 0
1 2 2
1 0 1
2 1 1
0 2 1
0 1 2
2 2 1
2 2 0
0 0 0
10 6
3 0 3
0 0 2
3 3 1
3 3 2
0 3 2
2 0 2
1 2 2
2 1 1
2 3 2
2 1 0
10 3
0 0 0
2 0 2
0 1 0
1 1 1
2 1 1
2 2 0
2 2 1
2 0 0
1 0 0
1 1 0
10 9
1 0 2
0 2 2
0 2 0
1 1 0
1 1 1
0 1 1
0 0 2
1 0 1
1 2 1
2 2 1
10 9
0 0 0
0 2 2
1 0 1
2 1 1
2 2 2
1 1 0
1 1 2
2 0 2
1 2 0
2 2 0
10 5
0 0 0
2 0 0
2 0 1
0 1 1
0 1 0
1 0 1
1 1 1
2 1 1
1 1 0
1 0 2
10 2
1 0 1
2 3 1
1 2 3
3 3 3
2 2 2
3 2 3
3 2 1
2 3 0
2 0 0
2 0 1
10 7
2 2 3
3 1 1
1 3 2
1 0 3
3 3 0
3 2 2
2 1 0
3 2 1
0 1 0
0 3 2
10 7
2 1 0
2 2 2
1 1 1
2 3 1
0 2 0
1 0 3
0 0 2
1 1 0
3 0 3
3 0 0
10 6
0 2 2
0 0 2
2 1 0
2 2 0
1 0 2
0 1 1
0 1 0
2 1 1
2 0 2
1 2 1
10 8
2 0 1
2 0 2
0 0 0
1 0 2
0 2 2
1 0 0
0 2 1
1 2 0
0 1 0
2 1 1
10 3
0 0 2
1 0 1
2 0 1
1 1 2
2 0 0
2 1 2
1 2 0
1 0 2
1 0 0
0 2 1
10 3
3 0 0
1 3 3
2 0 2
1 1 3
0 2 3
0 3 1
3 1 3
1 2 2
2 3 0
2 2 2
10 4
2 3 2
1 2 0
1 3 1
0 2 3
2 2 0
0 0 2
3 0 1
3 1 3
2 1 2
1 2 2
10 7
2 1 1
2 1 0
0 0 1
0 0 2
1 1 0
0 0 0
0 1 0
1 0 1
2 2 2
2 0 1
10 8
1 2 1
0 1 1
1 3 3
3 1 1
0 3 2
3 2 0
2 0 2
1 3 1
1 3 2
2 2 2
10 6
1 3 2
0 3 1
1 1 2
3 2 0
0 0 1
2 0 0
0 1 1
1 0 0
0 1 3
3 0 0
10 9
0 1 1
0 3 3
1 1 1
2 3 2
1 0 1
2 1 3
1 3 1
3 2 0
1 2 2
3 2 2
10 5
0 1 3
0 0 1
1 1 1
2 0 0
0 0 2
0 3 0
2 1 1
1 3 1
1 3 0
1 2 0
10 4
2 2 2
0 1 1
0 2 2
2 0 1
2 0 2
0 0 2
0 2 0
1 2 1
2 1 0
1 1 0
10 2
2 0 1
0 1 1
2 0 0
1 1 2
2 2 1
0 0 1
1 0 2
2 1 2
2 1 1
0 0 0
10 2
0 1 2
1 0 0
0 2 0
2 2 0
1 1 0
1 0 1
0 0 1
2 0 1
0 1 0
0 0 2
10 9
2 2 2
3 1 1
2 3 2
1 1 2
2 1 3
2 0 2
2 1 1
3 3 2
3 2 2
3 2 3
10 7
0 0 2
0 1 1
2 1 0
0 1 0
1 0 2
0 2 1
2 0 1
2 1 2
1 0 0
2 2 1
10 4
2 2 0
2 2 2
0 1 0
2 0 0
1 2 0
1 2 2
2 1 0
0 2 0
0 0 0
1 0 2
10 4
1 1 3
0 3 0
2 2 0
2 2 2
2 3 3
0 2 2
2 2 1
0 0 2
3 0 3
0 0 0
10 3
2 0 1
1 2 2
1 2 0
2 2 2
0 1 2
0 1 1
1 1 0
1 2 1
0 0 2
1 0 1
10 2
1 1 0
1 2 1
0 0 2
1 2 0
2 0 1
2 2 2
0 2 1
0 0 0
1 1 1
2 2 1
10 2
0 0 1
2 1 0
2 2 1
0 1 1
1 1 1
1 2 0
2 0 0
1 0 1
2 1 2
0 2 0
10 4
1 2 1
0 2 1
1 0 0
2 0 0
0 2 2
2 2 1
2 2 2
0 1 2
0 1 0
0 1 1
10 6
2 1 0
0 1 3
3 2 1
2 0 3
0 2 2
0 2 3
2 2 1
2 2 2
3 1 1
2 3 3
10 2
1 2 2
1 0 1
0 0 2
1 2 1
2 1 2
0 1 1
2 2 2
2 2 1
0 2 2
1 0 2
10 5
1 2 0
1 0 0
1 1 2
2 0 1
1 0 2
1 1 0
1 2 1
1 2 2
2 2 2
1 0 1
10 6
0 1 0
3 0 1
2 1 0
3 1 1
3 0 3
2 0 0
2 3 3
1 1 3
1 1 0
1 0 3
10 8
0 2 0
0 1 2
2 2 1
1 2 1
1 0 1
0 0 2
2 1 2
1 1 1
1 1 0
0 2 2
10 5
1 0 0
3 1 2
2 1 1
2 3 3
1 0 2
0 1 1
0 3 1
3 0 1
3 1 1
2 3 2
10 7
0 0 2
3 1 2
0 2 0
1 0 2
3 1 3
1 3 0
3 3 2
3 2 3
3 2 0
1 1 0
10 9
2 0 1
2 2 2
0 2 2
1 1 0
0 0 0
2 1 2
1 0 2
0 0 2
1 2 0
1 0 1
10 8
3 0 2
1 2 2
3 1 3
0 1 0
0 3 3
3 3 0
0 0 0
3 1 0
1 0 0
3 1 2
10 7
2 0 1
1 2 2
1 2 0
0 1 0
0 2 2
2 1 2
0 0 1
2 1 0
2 0 2
2 2 0
10 6
1 2 2
3 2 3
1 2 0
0 1 1
1 1 3
1 1 0
2 1 1
3 0 3
0 1 3
1 2 1
10 2
2 1 1
1 1 2
2 2 0
1 2 2
1 2 0
2 0 1
2 0 2
0 0 1
2 1 2
0 2 1
10 6
2 1 2
0 0 2
2 2 2
1 1 0
2 2 1
2 0 0
1 0 1
0 2 1
0 1 1
0 0 0
10 5
1 2 0
0 2 1
0 2 2
1 2 1
1 1 0
2 0 2
2 0 1
1 0 0
1 1 2
2 1 2
10 7
1 1 2
1 0 1
2 2 0
1 2 2
0 1 0
2 0 2
0 2 0
0 1 1
0 0 0
1 1 1
10 3
2 1 0
3 3 1
3 0 3
1 1 2
2 3 1
2 0 3
2 3 0
1 1 3
1 2 3
3 2 0
10 7
3 3 1
3 1 0
2 3 1
1 1 1
3 3 2
0 1 3
0 1 0
3 1 1
0 0 1
2 3 3
10 6
0 2 0
2 0 1
1 2 1
1 2 0
2 1 1
1 0 2
0 1 2
2 1 0
1 1 1
0 0 1
10 7
2 2 0
0 1 1
0 1 2
0 2 1
2 1 0
2 0 1
2 1 2
1 2 2
1 0 0
1 0 1
10 9
2 0 1
2 0 0
2 0 2
2 1 2
1 1 1
1 0 2
0 0 2
0 0 1
1 2 2
0 0 0
10 6
0 0 3
3 1 2
1 1 2
1 3 2
2 2 3
2 3 3
3 3 0
0 1 2
3 2 0
0 1 1
10 7
0 0 2
2 1 2
1 0 1
2 2 1
0 0 1
2 1 0
1 2 0
0 2 0
0 1 2
0 0 0
10 9
0 2 0
0 0 1
0 2 2
1 1 1
0 0 0
1 2 0
2 2 1
2 1 0
0 1 2
2 0 1
10 6
1 1 1
0 1 2
2 1 1
1 0 0
2 2 2
0 1 1
0 0 0
2 0 0
0 2 1
1 0 2
10 4
0 0 1
2 2 0
0 1 1
1 0 0
2 0 1
1 2 1
1 1 2
1 0 1
0 0 0
2 1 1
10 6
1 2 3
0 1 3
1 3 2
2 3 2
2 3 3
3 0 3
3 1 3
3 1 1
2 0 0
1 0 0
10 6
0 0 0
0 0 3
0 3 0
3 1 3
2 2 1
1 2 2
2 0 1
3 2 0
2 1 0
0 2 2
10 5
0 1 2
1 1 2
2 0 2
1 0 0
2 2 1
2 1 0
1 2 0
0 1 1
0 2 1
0 0 2
10 8
2 2 1
1 2 2
2 0 1
1 0 0
2 2 0
0 0 1
1 2 1
2 0 2
2 0 0
1 0 1
10 5
0 1 2
2 0 0
2 2 1
1 0 1
1 0 0
0 1 1
0 2 1
1 2 1
2 1 1
2 0 1
10 9
1 2 0
1 3 0
0 0 1
1 3 1
1 0 0
1 1 1
2 1 0
2 1 2
1 0 3
3 0 0
10 4
0 2 1
0 1 1
2 2 0
1 2 2
2 0 0
0 0 0
2 0 1
1 0 2
0 0 1
2 1 2
10 7
0 0 2
0 2 1
0 2 0
0 1 2
2 2 2
0 0 0
1 0 1
0 1 0
1 1 2
1 1 1
10 4
0 1 3
3 1 1
3 0 1
0 2 3
1 3 0
2 1 0
1 2 3
1 2 0
2 0 2
3 3 2
10 6
1 0 3
3 0 1
0 1 0
0 0 1
2 3 0
2 0 0
1 1 1
3 3 1
1 3 0
0 0 2
10 7
1 1 0
2 0 2
1 2 2
0 1 1
2 0 1
1 2 1
2 2 1
0 0 1
1 0 0
2 2 0
10 2
0 0 2
1 2 0
1 2 1
2 2 0
1 1 1
2 1 1
0 2 1
0 1 0
0 1 2
0 0 0
10 3
3 0 1
3 3 0
1 2 1
1 2 2
1 0 3
2 3 1
2 2 3
1 3 3
3 2 1
3 2 2
10 2
1 2 1
0 1 2
0 1 0
2 0 0
1 1 1
2 2 2
2 1 2
0 0 2
1 0 1
2 1 1
10 7
1 0 2
1 1 3
1 2 3
2 0 3
2 3 0
3 0 1
3 3 0
3 2 1
2 2 3
3 1 0
10 2
2 1 1
1 0 1
0 2 2
0 1 1
0 2 1
2 0 0
2 0 2
1 1 1
1 0 2
0 0 1
10 3
1 2 2
1 1 2
0 1 0
2 2 1
0 2 1
1 2 0
1 1 1
1 0 2
1 1 0
2 0 0
10 2
0 2 0
2 2 2
3 0 2
2 1 2
3 0 3
3 1 1
2 0 2
2 3 0
1 0 2
1 1 3
10 2
2 2 2
2 0 0
0 1 0
0 2 2
2 1 0
2 0 2
0 1 2
0 0 1
0 2 0
0 0 2
10 3
2 3 3
2 0 3
0 2 1
3 2 0
0 3 0
0 0 0
0 2 2
3 2 2
0 0 2
0 2 0
10 6
0 2 0
1 0 1
2 1 1
3 0 0
1 1 1
3 1 2
2 2 2
3 2 3
1 3 3
0 1 0
10 4
1 3 3
2 1 1
3 0 0
2 3 1
3 3 1
3 0 2
2 3 3
2 0 0
1 1 0
0 1 1
10 9
2 0 2
1 2 0
0 1 2
2 0 1
2 0 0
1 1 1
2 2 0
2 1 0
1 1 0
0 0 1
10 3
0 0 1
2 2 0
2 2 2
2 1 2
0 0 0
2 1 1
0 1 0
1 0 1
2 0 0
2 0 1
10 9
0 2 2
2 2 2
2 1 0
1 0 0
1 1 1
2 1 1
0 1 0
1 2 2
0 2 1
2 0 2
10 4
1 0 3
3 3 1
1 2 1
0 3 1
2 3 1
2 0 3
0 3 0
1 2 2
0 2 0
2 0 2
10 6
2 2 2
0 0 2
2 0 2
0 2 0
1 0 2
1 2 2
2 2 0
2 1 1
1 0 0
1 1 0
10 8
2 0 1
2 2 2
2 1 1
0 1 2
0 2 0
1 0 0
1 2 2
2 1 0
2 2 1
0 2 1
10 5
2 0 2
0 0 1
3 2 3
2 3 0
3 0 1
3 2 0
3 1 1
0 3 2
2 1 0
3 0 3
10 8
1 1 0
2 0 3
3 3 1
2 3 2
0 0 3
2 2 3
0 3 1
1 1 3
1 3 0
0 1 3
10 8
1 0 2
1 2 0
1 2 2
2 2 2
2 0 0
1 1 2
1 1 1
2 1 2
2 1 0
2 1 1
10 3
0 2 1
1 2 1
2 2 1
0 1 0
2 1 0
0 0 2
0 1 2
2 2 0
2 0 1
1 1 2
10 7
0 1 2
1 2 1
0 2 0
0 1 0
1 0 1
0 2 1
2 2 0
0 0 1
2 1 2
0 1 1
10 8
1 2 2
2 2 1
2 0 1
1 1 1
0 0 0
0 2 1
0 1 2
0 0 2
1 1 0
1 2 0
10 2
2 2 1
2 2 0
0 0 0
1 1 1
1 0 0
2 0 0
1 0 2
0 0 1
2 0 2
2 0 1
10 9
3 1 0
1 3 2
3 1 2
3 0 0
0 1 1
0 3 2
0 2 2
3 1 1
0 2 3
0 0 0
10 7
2 0 2
1 2 2
1 2 1
1 0 0
0 2 3
3 2 3
2 2 1
0 2 2
0 1 3
2 0 1
10 5
1 3 1
1 0 0
1 3 2
2 3 0
2 1 0
2 3 1
3 0 2
3 0 3
3 0 1
0 2 1
10 9
1 2 0
0 0 0
1 2 2
0 2 0
2 1 1
2 0 2
1 0 1
2 0 0
0 2 1
1 0 0
10 8
1 1 1
3 2 1
3 1 0
0 3 3
3 3 0
1 2 1
0 2 2
2 0 0
3 1 3
2 1 1
10 3
3 0 0
3 1 0
0 0 1
0 1 2
0 3 2
0 1 1
0 3 0
3 3 0
2 0 0
2 0 3
10 3
3 1 3
3 0 2
1 0 1
2 3 2
2 1 3
1 1 0
3 0 3
1 0 3
1 3 1
3 0 0
10 6
0 2 2
1 2 0
2 2 2
1 1 0
2 1 2
1 0 1
2 0 1
0 0 2
1 1 1
1 0 2
10 4
2 0 0
2 2 2
0 1 2
0 0 0
1 2 0
1 2 2
1 0 1
2 2 0
2 0 2
0 0 2
10 9
0 0 0
1 0 2
2 2 0
2 0 0
1 1 0
1 1 2
0 2 0
1 2 2
1 2 0
1 0 1
10 8
1 2 1
0 1 0
1 2 0
1 2 2
2 0 1
0 0 1
1 0 0
0 0 2
0 2 0
2 1 1
10 6
0 2 2
1 1 2
0 0 0
2 2 2
1 1 3
0 0 2
2 0 2
1 0 1
1 1 1
1 2 2
10 4
2 2 1
0 1 0
2 2 0
1 2 1
1 1 2
0 0 0
2 0 2
2 1 1
1 1 0
0 0 1
10 5
0 3 0
1 3 1
3 2 0
1 3 3
3 2 1
0 0 0
2 2 1
0 2 0
3 1 2
2 2 2
10 9
0 1 0
0 1 2
0 2 0
1 1 1
1 2 0
0 1 1
0 0 1
0 0 0
2 1 2
2 0 2
10 2
3 1 3
0 2 0
3 2 2
1 3 1
3 3 2
0 1 1
1 0 3
0 3 0
0 2 1
2 2 3
10 4
2 2 1
1 2 1
0 0 1
0 1 0
2 2 0
1 2 2
0 1 2
0 2 2
2 1 2
1 0 0
10 5
0 3 3
3 2 0
0 0 2
3 2 1
0 1 2
2 3 1
3 3 3
1 2 3
3 3 1
2 1 1
10 9
1 2 2
0 1 0
1 1 0
0 0 0
1 2 0
1 0 0
2 1 0
0 0 2
0 2 0
2 1 1
10 6
0 3 1
1 0 1
1 3 3
0 0 0
1 1 3
3 0 2
0 2 1
2 3 3
2 3 0
3 2 1
10 8
0 0 0
2 1 2
1 2 0
2 2 0
1 0 0
0 2 1
2 0 2
0 2 2
1 0 2
0 1 0
10 3
1 0 1
1 1 2
2 0 0
1 2 1
1 0 2
0 1 1
1 1 0
0 0 2
1 2 2
0 1 0
10 3
3 0 1
0 3 0
3 0 2
3 2 1
0 3 2
3 3 3
1 3 1
1 2 3
1 1 0
0 0 3
10 4
0 2 0
2 0 0
1 1 0
0 1 1
1 2 1
0 2 2
2 2 0
0 2 1
0 0 2
1 1 2
10 3
0 0 0
2 2 0
2 0 2
2 1 0
0 1 1
1 2 0
2 0 1
2 1 2
1 1 2
1 0 0
10 4
1 2 1
0 2 1
2 1 0
1 0 1
1 1 2
0 1 2
0 1 0
1 2 0
1 1 1
0 2 2
10 8
2 2 1
0 2 2
2 1 1
0 0 2
2 1 2
0 0 0
0 0 1
1 2 0
0 1 1
2 0 0
10 3
1 0 1
1 1 2
1 1 1
1 2 0
2 1 0
2 0 0
1 0 0
2 0 1
0 2 0
2 2 0
10 7
0 0 1
1 2 0
2 2 2
0 1 1
2 0 1
0 0 2
1 0 0
1 1 1
1 1 2
0 2 0
10 6
1 0 1
0 1 0
2 0 2
2 1 2
2 2 2
0 2 1
0 0 2
0 0 0
2 1 1
0 2 0
10 8
2 3 2
1 2 3
1 0 2
2 0 0
2 1 0
0 0 1
2 0 2
1 0 1
3 1 3
3 0 3
10 6
0 1 1
1 1 0
1 1 1
2 2 1
2 2 2
2 0 2
1 1 2
1 2 2
0 2 0
0 2 1
10 8
0 0 2
1 0 0
0 0 0
0 2 2
1 0 1
1 0 2
2 2 2
0 2 0
0 1 2
2 1 1
10 4
3 2 2
2 3 1
0 0 3
1 2 3
3 0 0
0 0 1
2 2 1
2 0 2
0 1 3
0 3 0
10 7
2 1 0
0 2 2
1 1 2
0 0 2
0 1 0
0 0 0
2 1 2
2 1 1
2 0 2
1 1 0
10 8
0 2 2
0 0 1
0 1 2
2 0 1
2 1 1
2 2 2
2 0 0
2 1 0
0 2 0
0 0 0
10 9
1 2 0
2 0 2
1 1 2
0 0 2
0 0 0
0 1 2
2 1 0
2 2 2
0 2 1
1 1 0
10 5
0 1 3
1 0 1
3 0 2
2 2 2
1 1 3
3 3 2
1 1 0
0 2 2
3 2 3
1 2 1
10 8
3 1 3
1 1 2
0 0 0
3 1 1
0 2 2
0 1 2
2 1 2
2 0 0
2 2 1
3 3 3
10 8
1 1 2
0 0 1
2 1 1
0 2 2
2 2 2
1 2 0
2 0 0
0 1 0
2 2 1
1 1 1
10 2
1 2 2
2 0 0
0 0 1
0 0 0
2 1 2
1 0 2
0 1 1
1 1 0
2 0 2
0 1 2
10 8
1 0 0
0 0 1
0 2 0
2 1 2
0 0 0
1 2 2
1 0 2
0 2 2
2 2 2
2 0 1
10 7
0 2 1
1 3 2
3 0 3
1 1 1
2 2 3
3 0 1
3 1 0
1 2 3
2 0 0
3 3 3
10 7
1 0 1
2 2 2
0 2 1
2 2 0
0 2 0
0 0 2
0 0 0
2 0 1
1 2 1
0 0 1
10 5
0 3 1
3 1 1
1 3 2
3 3 3
3 1 0
3 0 2
2 0 2
1 2 3
0 1 1
0 3 2
10 8
2 0 2
0 0 0
1 2 0
0 2 2
1 1 2
2 1 0
2 0 0
2 0 1
2 2 2
0 2 0
10 4
2 1 1
0 1 2
1 0 0
2 0 3
1 3 3
2 0 1
3 1 0
3 2 1
2 1 0
0 3 2
10 7
2 0 0
1 3 0
2 2 2
0 0 0
2 1 0
0 3 1
2 3 2
0 1 3
2 3 3
2 0 3
10 3
1 1 0
1 0 3
2 2 3
3 1 1
2 3 0
3 2 2
3 0 2
3 0 1
0 1 2
3 1 0
10 2
2 2 1
2 0 2
0 1 2
2 1 1
1 0 2
2 0 0
1 1 0
1 1 1
0 2 0
1 2 0
10 6
2 2 2
1 2 2
2 0 2
0 1 0
0 2 0
1 1 0
2 1 1
0 0 2
1 0 1
1 2 1
10 3
2 0 2
1 0 2
0 1 0
2 1 1
2 2 0
1 2 1
2 2 2
1 2 2
1 1 2
0 1 2
10 4
1 0 1
0 1 0
2 1 0
1 2 2
2 1 2
2 2 1
0 1 1
0 0 2
2 0 2
1 1 2
10 3
3 1 2
2 1 3
0 1 1
3 0 1
1 3 3
3 0 0
1 2 2
0 0 2
1 3 2
3 3 2
10 7
0 2 2
3 0 1
3 0 3
0 3 1
2 3 1
3 0 0
0 1 2
3 3 1
0 1 3
3 2 0
10 8
2 2 1
0 2 2
2 0 0
1 0 2
1 2 1
1 1 0
0 0 1
1 2 0
0 1 1
2 0 2
10 7
2 0 0
1 0 2
0 0 0
0 0 1
0 2 0
0 0 2
1 1 2
0 2 1
0 1 1
1 1 0
10 8
2 0 0
2 2 1
1 0 0
0 2 2
0 1 0
0 0 0
2 2 0
1 1 2
2 2 2
2 0 1
10 8
0 2 2
1 2 1
0 0 1
2 0 1
2 1 1
2 2 1
1 1 2
2 2 2
1 0 1
2 0 0
10 4
2 2 1
0 2 2
2 2 0
0 0 0
1 2 0
1 2 2
0 2 1
1 0 1
0 1 2
2 1 0
10 7
1 1 1
1 0 1
2 1 2
1 0 0
1 1 0
1 1 2
1 2 2
0 0 1
0 1 2
0 1 1
10 2
2 2 3
0 0 3
3 3 1
1 0 1
1 2 3
3 0 3
1 3 2
1 0 2
1 1 1
3 2 3
10 9
1 0 3
0 2 1
0 3 0
2 3 2
3 0 1
3 3 1
2 3 3
3 2 1
1 3 3
0 2 0
10 6
0 1 0
0 2 1
1 2 2
2 0 0
2 1 2
0 2 0
0 0 1
0 2 2
0 0 0
2 1 0
10 7
0 2 1
1 1 0
2 0 1
2 0 0
1 2 1
2 2 2
0 2 2
1 0 0
0 0 1
0 0 0
10 9
0 2 2
3 2 2
0 1 0
0 1 3
3 0 2
0 3 1
1 2 0
0 3 0
3 2 1
1 1 0
10 3
1 1 2
1 0 1
2 0 2
1 1 0
2 2 1
1 0 2
0 2 2
2 2 0
1 1 1
2 1 0
10 4
3 3 3
3 2 2
2 1 2
1 2 3
0 2 3
3 0 1
2 0 2
1 2 0
1 2 1
2 2 1
10 6
1 3 2
1 0 2
2 0 2
0 1 0
2 2 1
2 0 3
0 0 3
3 0 0
0 3 3
1 2 3
10 4
0 2 2
2 1 2
1 1 1
2 0 1
1 2 1
2 2 2
0 0 2
2 2 1
2 1 1
1 1 2
10 9
2 3 2
2 1 3
3 1 0
1 0 0
0 3 2
2 0 0
1 2 1
0 1 2
0 2 1
3 0 2
10 2
0 2 0
1 0 1
2 2 0
2 0 1
0 1 2
1 2 2
1 2 1
2 1 0
1 1 0
1 2 0
10 2
2 2 1
3 3 3
0 2 0
1 2 0
2 3 3
0 3 3
1 1 2
2 2 3
2 0 2
1 1 3
10 5
2 0 2
0 2 3
0 0 3
1 0 2
2 2 1
1 2 0
2 1 3
1 0 1
1 2 2
2 2 2
10 8
2 0 0
0 1 2
2 1 2
2 1 0
0 0 2
2 2 2
1 2 1
2 0 1
1 1 2
1 1 1
10 7
0 1 1
2 0 2
2 0 0
2 1 2
2 1 1
0 0 1
2 2 1
0 2 1
1 2 2
2 2 2
10 2
3 3 2
1 1 3
1 1 2
1 3 0
2 1 1
2 0 2
2 3 3
1 3 1
0 3 0
2 0 3
10 8
0 1 1
2 1 2
2 0 0
1 0 1
2 1 0
1 0 0
2 2 0
2 2 1
0 1 2
0 2 2
10 3
3 3 1
2 0 2
3 1 2
0 3 1
3 2 3
3 2 2
1 3 2
1 1 1
3 3 2
0 0 0
10 9
2 2 0
1 2 2
0 1 1
1 0 2
1 0 1
2 2 2
1 1 0
2 0 1
2 0 0
2 1 1
10 2
1 0 0
1 0 1
2 2 1
0 2 2
1 2 1
0 0 2
1 1 2
0 1 0
2 2 0
0 1 1
10 5
1 1 1
1 0 1
2 0 1
2 2 0
2 0 0
0 2 2
0 2 1
0 0 2
2 1 0
1 0 0
10 6
0 1 2
1 1 1
3 3 2
2 2 2
1 3 3
1 3 1
1 3 2
3 2 2
3 2 0
0 3 3
10 8
1 2 2
3 2 1
3 2 2
1 1 1
2 0 1
2 2 3
3 2 3
2 1 2
0 1 1
1 0 1
10 9
0 0 2
0 2 0
0 1 0
1 2 1
1 1 0
0 2 1
1 0 2
1 0 1
0 1 2
2 2 0
10 3
2 3 3
0 1 0
2 2 2
2 2 0
2 0 0
3 1 1
1 3 1
0 1 3
0 2 1
0 0 2
10 3
2 0 2
0 2 2
0 2 1
2 1 1
1 2 1
0 0 1
0 1 0
2 2 1
1 2 0
1 0 1
10 4
3 3 3
2 2 0
1 2 2
2 0 3
3 2 3
0 3 1
2 3 1
0 3 3
0 0 3
0 2 1
10 2
1 1 0
1 2 2
0 1 2
2 2 2
0 2 0
2 0 2
1 0 1
1 1 2
1 2 0
0 1 1
10 8
1 3 0
3 2 0
1 0 1
0 3 1
3 0 0
0 3 0
3 2 2
0 3 3
1 2 0
2 1 3
10 8
2 1 2
3 0 0
1 3 1
1 2 3
0 2 3
1 1 2
1 1 3
1 1 0
1 0 3
0 0 2
10 7
1 2 3
0 3 0
0 1 2
3 0 2
3 2 3
3 1 2
2 1 1
1 1 0
3 2 1
3 3 2
10 3
0 0 1
0 0 0
2 2 0
1 2 2
2 0 1
1 0 0
2 0 0
1 0 1
1 2 1
1 1 0
10 9
2 1 1
1 0 1
2 1 2
2 0 1
2 1 0
1 2 2
0 0 1
0 2 2
1 0 0
0 0 0
10 8
2 0 2
0 1 2
0 2 0
0 2 1
1 1 2
0 1 0
2 2 1
0 1 1
2 1 2
1 2 0
10 8
3 3 3
2 3 2
1 2 2
1 2 1
1 3 0
0 2 1
0 0 0
2 3 3
1 2 0
2 3 1
10 4
1 2 0
1 0 0
0 1 1
2 0 0
2 1 2
2 0 1
2 2 0
1 2 1
2 1 1
0 2 0
10 4
3 3 1
2 2 2
3 0 1
3 3 2
0 2 1
0 3 2
1 3 1
3 3 3
3 0 0
1 2 2
10 8
3 3 2
0 2 0
2 1 2
2 1 1
0 0 2
2 3 0
1 0 1
3 2 3
3 3 0
0 1 2
10 2
2 2 1
1 0 2
1 3 1
3 3 3
3 1 0
2 1 1
2 3 2
0 1 0
0 2 2
3 2 2
10 5
0 0 1
2 2 2
1 0 1
0 1 1
1 2 1
0 1 0
2 0 2
2 2 0
1 2 0
1 1 2
10 6
2 0 1
2 1 0
0 0 1
2 0 2
0 1 0
2 2 2
1 1 2
1 0 2
0 1 1
0 0 2
10 8
2 2 1
0 2 1
1 1 2
0 0 1
1 0 2
2 2 0
2 1 2
0 2 0
1 0 1
2 1 0
10 7
1 2 2
0 0 0
2 1 0
1 0 2
2 2 0
2 0 0
0 2 1
0 1 2
2 0 1
0 0 2
10 3
0 2 1
2 0 0
0 1 1
0 3 1
2 2 3
1 0 2
1 3 1
3 3 3
3 1 3
0 1 3
10 8
1 0 0
0 2 1
1 2 1
0 2 0
0 1 1
1 0 1
1 2 2
2 0 1
1 1 0
0 0 2
10 3
3 3 3
2 1 3
3 1 2
1 1 3
2 1 0
0 0 2
2 1 1
3 0 2
1 3 0
0 3 1
10 8
2 1 0
0 2 1
1 1 0
0 0 0
0 1 1
2 2 0
1 2 1
0 1 0
0 2 0
1 1 2
10 6
3 1 0
3 0 2
0 0 1
3 2 3
3 2 1
1 3 3
3 0 0
1 1 1
1 0 2
2 0 3
10 7
1 0 0
0 0 0
0 1 2
0 2 2
1 0 2
0 0 1
1 2 0
2 0 0
2 2 1
2 1 2
10 8
2 3 2
1 1 3
2 1 3
3 3 1
0 1 1
1 2 0
2 2 1
3 2 3
0 3 1
1 2 2
10 7
1 1 1
2 0 0
2 1 1
2 2 2
1 2 0
2 1 0
1 2 2
2 2 1
2 1 2
1 1 2
10 4
3 2 2
0 0 1
2 3 2
1 2 0
1 2 2
0 1 1
0 3 1
1 1 1
2 1 0
3 1 2
10 3
1 0 1
0 1 0
1 2 0
0 0 1
0 0 0
1 0 0
0 1 2
1 1 2
0 2 2
1 2 2
10 8
1 0 2
2 2 3
0 2 3
1 0 1
2 0 1
2 3 1
1 3 0
2 0 3
1 1 2
0 1 3
10 8
2 2 2
2 1 0
1 2 1
2 2 0
2 0 2
2 2 1
0 1 0
0 2 2
1 0 0
0 1 1
10 6
0 3 3
1 1 0
2 2 1
3 1 3
0 0 2
1 0 0
3 2 3
3 0 3
3 3 2
1 0 2
10 9
2 1 1
2 2 3
3 0 3
1 1 2
3 0 0
3 2 1
1 1 1
2 0 0
0 3 3
0 1 1
10 4
2 0 0
1 1 1
0 3 2
0 0 0
0 2 3
0 1 1
3 1 3
1 3 2
2 0 3
2 3 1
10 9
3 3 0
1 2 1
2 0 3
1 0 2
1 0 1
3 2 1
0 1 2
3 0 2
1 0 0
0 0 3
10 7
2 1 2
1 1 1
1 1 0
2 2 2
2 0 0
1 0 0
2 0 1
0 0 0
1 1 2
1 0 2
10 2
2 0 0
1 1 1
2 2 0
2 1 2
2 1 1
0 1 0
2 2 2
1 1 2
2 2 1
1 2 0
10 3
0 0 2
2 0 1
0 2 0
2 1 2
0 2 2
2 0 2
1 0 0
2 2 2
1 2 1
1 1 2
10 4
2 1 0
2 0 3
0 2 1
2 3 1
1 1 3
1 3 1
1 0 1
2 0 2
3 3 3
3 0 0
10 5
3 1 3
0 2 3
2 1 3
0 0 0
2 2 2
0 0 3
2 0 0
1 2 2
0 1 1
3 1 2
10 5
1 0 0
2 0 1
1 1 3
3 2 1
1 3 3
0 3 0
1 2 3
3 0 1
0 1 3
1 0 1
10 4
2 1 1
2 0 3
3 2 1
3 1 1
0 1 3
3 0 1
0 1 1
0 3 2
2 3 3
1 2 0
10 3
1 1 0
2 0 0
2 1 0
1 2 2
2 2 2
2 0 2
2 1 2
1 0 0
0 2 0
1 2 1
10 7
2 2 1
2 0 0
3 2 1
2 1 3
1 3 3
1 0 0
0 1 0
1 0 2
1 2 1
0 1 3
10 7
1 0 1
1 1 0
2 0 0
1 0 0
0 0 0
2 2 2
1 2 1
2 2 0
0 1 2
0 2 2
10 6
0 1 1
3 2 3
2 1 3
0 0 1
0 2 3
3 3 2
1 3 0
2 3 0
1 1 2
3 1 2
10 8
0 0 0
1 0 1
2 2 2
0 2 0
1 0 0
0 1 2
0 0 2
1 2 0
1 1 1
1 2 2
10 6
0 1 1
1 1 2
1 0 0
2 2 0
1 2 1
2 0 1
1 0 2
0 0 2
1 1 0
1 2 2
10 4
3 0 3
2 1 2
0 3 1
3 3 3
1 3 2
2 3 3
2 1 3
1 3 0
0 0 3
0 1 0
10 2
2 0 3
2 1 2
1 1 2
1 3 1
1 2 0
0 3 2
2 3 1
3 0 3
2 3 2
0 2 0
10 9
1 1 2
1 3 1
1 0 2
1 1 1
3 1 2
0 1 1
0 2 1
1 2 2
3 1 3
3 3 0
10 7
3 2 0
0 3 3
3 2 1
1 0 0
1 3 3
0 2 2
1 1 0
3 2 3
2 0 3
3 3 0
10 9
1 0 1
2 0 3
1 3 0
0 3 1
1 1 0
1 3 1
0 1 1
1 1 1
3 3 3
0 0 3
10 3
2 0 0
0 1 2
1 0 0
2 2 0
0 2 2
2 1 1
1 0 1
2 1 0
2 2 2
0 0 0
10 4
0 0 0
0 1 2
2 0 1
0 2 0
2 0 2
0 0 1
2 1 0
0 1 0
1 0 1
0 0 2
10 5
1 1 0
0 2 1
1 2 2
1 1 2
1 0 2
2 2 0
0 2 0
1 1 1
1 0 0
0 2 2
10 5
1 1 0
0 0 0
0 2 0
1 2 1
1 3 2
1 3 1
3 3 1
3 0 1
2 2 2
0 3 0
10 6
3 0 3
2 3 2
2 1 2
1 0 1
0 1 0
0 1 2
0 2 1
2 2 2
0 2 0
3 2 0
10 7
0 0 1
0 0 0
2 1 0
0 1 1
2 2 2
1 1 0
0 0 2
0 1 2
0 1 0
0 2 2
10 2
3 3 3
0 0 3
2 1 2
0 1 3
2 1 3
0 1 1
3 0 3
0 2 2
2 0 0
3 2 2
10 9
2 1 0
1 1 2
1 2 0
2 0 0
0 1 1
2 2 0
1 2 2
1 2 1
2 0 2
0 2 1
10 8
1 1 0
1 0 1
2 2 2
2 2 0
2 1 0
0 2 1
2 0 0
2 1 2
0 2 2
1 2 1
10 2
0 0 3
3 3 2
2 0 1
2 1 2
1 1 3
2 2 2
2 3 1
1 1 0
0 1 3
1 0 2
10 5
1 3 2
0 1 0
1 0 1
0 3 2
0 2 0
3 1 1
2 0 0
2 3 0
2 0 3
3 2 1
10 3
0 0 3
0 0 2
3 0 3
2 1 1
2 0 2
2 3 2
3 1 2
2 3 3
3 0 0
1 0 3
10 9
3 0 3
1 0 1
1 2 3
0 0 0
2 3 3
2 3 1
0 1 1
3 1 2
3 3 2
3 2 1
10 4
0 0 0
2 2 0
2 1 0
0 1 0
0 2 0
0 2 1
1 1 0
2 2 1
1 1 1
1 0 0
10 3
2 0 0
1 0 0
2 1 1
0 2 1
1 1 0
0 0 1
0 2 0
2 0 2
0 2 2
1 2 0
10 2
0 2 1
2 1 2
0 0 1
1 1 2
2 2 1
1 2 2
2 0 1
1 0 2
2 0 0
2 2 2
10 2
0 0 1
0 1 2
1 1 1
0 2 2
1 0 0
2 1 0
2 1 2
1 1 0
1 2 1
0 1 1
10 9
0 2 0
2 0 2
0 0 1
1 2 2
2 2 1
2 0 0
2 1 2
2 0 1
1 2 1
1 2 0
10 8
0 2 2
1 2 1
2 0 2
2 0 0
1 2 2
0 1 1
2 1 2
0 0 1
2 2 2
2 2 0
10 7
0 0 2
2 2 2
1 0 1
1 1 1
0 1 2
1 0 0
1 2 1
0 1 1
1 2 2
0 1 0
10 3
1 1 2
0 0 1
1 2 2
0 2 0
2 0 1
2 0 2
2 2 2
2 1 0
0 1 1
1 1 0
10 5
1 3 0
3 2 1
3 1 3
3 0 2
0 2 1
0 1 0
3 1 0
2 3 2
0 0 2
2 0 2
10 5
3 3 2
2 0 0
1 0 3
1 1 3
0 3 0
2 3 0
2 2 2
3 2 2
3 1 2
1 2 2
10 8
0 1 2
1 1 2
2 1 1
1 2 2
2 2 1
0 0 2
2 1 2
0 0 1
0 2 2
1 1 0
10 3
0 0 1
1 0 1
1 2 0
2 0 1
1 0 0
1 0 2
0 2 0
0 1 0
0 1 2
2 2 0
10 2
2 0 3
0 3 2
0 1 1
1 3 1
2 0 1
3 3 3
1 1 0
0 2 3
2 3 0
3 1 3
10 3
0 1 1
0 0 0
0 0 1
1 2 1
1 2 2
2 0 2
1 1 2
1 2 0
0 2 2
1 0 2
10 8
2 0 1
2 2 0
1 2 2
2 1 2
1 2 0
0 2 0
1 0 0
0 0 1
0 2 2
0 1 1
10 4
1 2 0
2 2 1
2 1 1
2 0 1
1 2 1
2 1 0
2 2 0
0 0 1
1 1 2
1 2 2
10 3
2 1 0
1 0 2
2 1 1
0 1 0
1 2 0
2 0 0
0 0 1
0 2 1
1 1 0
0 2 2
10 6
1 2 1
0 0 1
2 0 1
2 2 0
2 2 2
0 1 1
1 1 1
1 1 0
2 0 2
0 0 0
10 4
2 2 3
3 1 1
3 3 0
0 2 2
2 0 1
2 3 2
1 1 2
1 0 1
1 1 0
0 0 0
10 4
0 1 2
2 0 2
2 0 0
2 1 1
0 1 1
2 1 2
2 2 1
0 1 0
1 0 0
0 0 0
10 9
2 0 2
1 0 0
2 1 2
0 2 1
2 0 1
0 1 1
1 2 1
0 1 2
2 0 0
2 1 1
10 9
1 1 1
2 1 0
2 0 1
0 2 2
0 0 0
0 1 1
1 1 0
2 2 0
0 2 0
2 0 2
10 2
1 2 2
0 2 3
2 0 3
1 2 0
0 3 3
3 2 1
3 3 0
2 0 2
3 3 2
0 1 0
10 7
0 2 1
1 2 0
2 2 0
1 0 2
1 1 2
0 0 1
0 1 2
1 2 2
1 1 1
1 0 0
10 3
2 2 0
0 1 1
2 3 2
2 3 0
0 3 1
3 0 2
0 2 1
0 3 2
2 1 0
0 0 2
10 3
3 3 3
2 2 1
0 1 2
2 3 0
2 2 2
2 3 2
1 1 0
2 0 1
3 3 1
3 2 2
10 3
1 0 3
2 2 2
1 2 3
2 1 1
0 0 3
1 0 2
2 0 0
2 3 3
3 1 0
2 1 0
10 8
1 1 2
1 0 2
1 2 2
2 0 2
0 0 2
2 1 2
2 2 0
0 1 1
0 2 2
0 2 1
10 3
3 0 3
1 0 0
0 0 0
0 1 0
0 1 2
3 2 3
1 3 0
3 0 2
1 0 2
2 1 3
10 8
1 0 1
0 2 0
2 0 1
0 1 2
2 2 1
0 0 0
0 1 0
2 1 2
1 2 0
1 1 0
10 7
1 2 1
3 1 2
0 3 3
2 0 0
0 0 1
1 1 3
1 2 3
3 1 0
1 0 1
0 1 3
10 8
3 2 1
1 3 3
3 3 0
0 2 1
1 3 0
3 0 2
2 0 1
0 3 2
1 2 3
2 2 0
10 6
2 1 2
0 0 1
0 2 0
0 1 2
2 0 1
2 1 1
2 2 0
1 1 2
0 2 1
2 1 0
10 5
1 3 1
1 1 0
3 0 1
1 1 3
1 2 0
0 2 2
1 0 0
0 3 1
1 1 2
0 0 2
10 9
1 0 3
3 3 3
3 2 2
1 3 1
3 0 3
3 2 3
2 0 1
0 0 3
3 3 0
0 2 1
10 5
3 1 1
1 0 3
2 3 3
2 1 0
2 2 1
1 2 0
3 3 1
0 2 0
2 0 1
1 0 1
10 4
0 1 2
2 0 0
0 0 1
1 0 2
1 2 1
2 1 2
0 0 0
2 2 1
0 2 1
1 0 1
10 5
2 0 1
2 2 1
2 1 2
2 1 0
1 1 1
2 0 2
0 2 2
1 0 2
0 1 2
1 1 2
10 2
0 2 2
2 1 1
1 1 1
2 2 2
1 2 1
2 0 2
0 1 2
2 2 1
2 2 0
0 0 1
10 8
2 2 0
1 3 2
1 1 1
2 3 2
2 3 1
0 0 3
2 0 3
2 1 0
1 0 0
0 2 3
10 6
0 1 3
1 2 2
1 3 2
3 2 3
1 1 1
2 0 1
2 3 0
3 0 1
3 3 3
1 3 3
10 4
3 0 2
3 1 0
3 1 3
3 3 2
2 2 3
0 3 0
1 3 1
0 3 1
1 0 0
3 1 1
10 2
0 2 0
0 1 0
0 1 1
0 2 2
2 2 2
1 2 0
1 1 2
1 0 2
0 1 2
1 2 2
10 8
3 1 0
2 1 1
3 0 3
0 0 3
3 3 3
1 2 0
3 2 3
3 2 1
3 2 0
1 3 2
10 3
0 2 0
0 1 0
2 2 1
1 1 0
3 3 3
2 3 0
3 2 3
2 3 1
0 0 3
2 1 0
10 5
0 0 0
0 0 1
1 2 0
2 0 1
2 2 1
3 1 0
2 3 1
3 3 0
0 1 3
2 1 0
10 9
2 1 0
2 2 1
0 1 1
2 0 2
3 2 3
0 2 0
1 1 3
1 1 1
0 1 3
0 1 0
10 8
3 1 3
3 0 1
0 1 0
0 3 1
1 0 0
1 1 3
1 0 2
0 0 3
2 3 0
1 1 0
10 4
1 2 2
0 1 2
1 2 1
1 0 2
0 1 1
0 2 0
1 0 0
0 1 0
1 1 0
1 1 2
10 4
3 2 0
0 3 3
1 0 0
3 1 0
1 3 3
0 1 3
1 1 0
3 0 1
3 1 2
3 0 3
10 2
1 0 2
1 0 1
1 2 2
1 1 2
1 1 0
0 0 2
2 0 2
1 1 1
1 2 1
2 1 2
10 3
1 1 2
2 1 1
2 2 2
0 2 1
2 2 0
0 2 2
1 2 2
0 1 0
1 1 1
2 0 1
10 3
0 1 1
2 2 0
0 2 1
1 1 0
3 0 1
0 0 3
2 3 1
3 1 2
3 2 1
0 2 0
10 3
0 1 1
2 0 2
2 1 0
2 1 2
1 1 0
1 0 0
2 2 1
0 1 0
2 2 2
1 0 1
10 6
1 2 1
3 1 2
1 1 2
3 2 2
0 1 1
1 0 1
1 3 2
0 1 0
0 2 2
1 2 0
10 8
1 3 0
0 1 1
3 1 0
0 3 2
1 1 0
1 3 3
1 0 1
3 3 0
3 0 0
2 2 3
10 8
1 0 0
2 1 1
0 1 2
2 2 2
0 0 1
0 2 1
2 2 0
1 1 0
1 2 1
1 0 2
10 7
0 3 3
3 3 3
3 1 1
1 2 0
1 1 3
0 1 2
3 0 2
2 1 1
1 0 0
0 3 1
10 8
0 3 2
1 2 1
2 3 0
3 3 1
1 2 2
0 2 2
1 2 0
1 2 3
1 0 0
2 2 0
10 9
2 2 2
0 2 1
1 0 1
0 2 2
0 0 2
0 1 0
1 2 1
0 0 0
1 1 2
1 2 0
10 5
2 1 1
2 0 1
1 0 2
0 2 1
2 0 2
2 2 1
1 0 0
0 0 2
1 1 1
0 2 2
10 9
0 2 0
0 0 2
2 2 0
2 2 2
0 2 1
1 1 0
1 1 2
2 2 1
2 0 1
1 0 0
10 3
3 3 1
2 2 3
3 1 1
0 0 3
3 0 1
1 2 2
2 3 1
2 1 2
1 1 0
2 3 3
10 9
0 0 1
2 1 0
0 2 1
1 2 1
2 0 0
1 1 1
1 2 0
0 1 2
2 1 2
0 0 2
10 4
0 3 0
2 3 1
0 1 0
3 1 2
2 3 0
2 0 0
2 2 1
0 2 3
2 3 3
0 0 1
10 3
2 1 2
1 1 1
0 1 2
2 1 0
0 2 0
2 2 2
0 2 2
0 0 1
0 1 0
1 0 1
10 3
2 2 2
1 1 1
2 2 0
1 2 1
0 0 2
1 0 0
0 0 0
0 1 1
0 1 2
2 2 1
10 5
0 3 1
1 3 2
3 2 1
1 2 0
1 3 1
1 0 2
3 1 2
3 0 2
0 0 1
3 1 0
10 6
0 1 0
0 2 0
1 0 0
0 1 3
1 0 1
2 1 3
2 2 1
2 2 2
2 1 0
0 3 3
10 5
1 2 1
2 2 0
1 3 2
2 2 3
0 0 1
3 3 1
2 1 1
3 1 3
2 0 2
1 2 0
10 2
1 0 1
2 1 0
0 0 2
0 2 0
2 2 0
2 0 1
1 0 0
1 2 2
1 1 0
2 0 0
10 2
1 2 2
0 1 0
2 1 1
2 1 2
2 0 2
1 2 1
2 2 0
0 1 2
2 0 0
0 0 1
10 6
1 1 1
1 2 1
0 2 2
2 2 0
0 0 1
2 1 1
0 2 1
0 1 0
0 1 1
1 0 1
10 2
0 2 0
2 3 1
1 2 2
2 1 2
0 0 2
0 3 0
3 2 2
3 1 0
1 3 3
3 3 1
10 5
2 2 0
1 0 1
2 2 1
0 1 2
1 2 2
2 0 1
0 0 0
2 0 0
0 1 0
0 0 1
10 2
1 0 0
0 1 2
0 2 2
2 2 1
1 0 1
1 0 2
1 2 0
0 1 0
1 2 2
0 2 0
10 7
3 0 1
3 1 2
2 1 2
3 3 3
1 3 2
0 3 1
2 1 3
2 3 2
2 0 0
1 1 3
10 2
2 1 1
2 2 0
2 0 2
2 0 1
1 1 2
2 2 1
1 0 1
1 2 0
0 0 1
1 1 0
10 4
2 3 0
1 1 0
0 2 3
1 1 3
2 1 2
3 3 2
0 0 2
1 0 0
0 1 0
0 2 2
10 9
2 1 1
1 1 0
1 0 1
2 0 2
2 1 0
2 2 1
0 2 1
1 2 2
1 0 0
1 2 0
10 7
3 0 2
1 2 1
2 0 1
3 2 2
1 0 1
2 0 0
1 0 0
1 3 1
1 2 2
3 0 1
10 3
1 2 1
0 1 2
2 1 1
0 1 0
1 1 0
1 0 2
2 0 1
1 2 0
1 1 2
1 0 0
10 2
1 2 0
1 2 1
1 1 1
2 2 1
2 2 0
1 0 2
2 1 1
2 0 1
0 1 2
0 0 2
10 2
1 1 3
3 0 2
3 1 1
1 3 0
2 3 3
2 2 2
0 2 3
0 3 0
3 0 1
1 1 0
10 6
3 2 1
1 3 1
0 0 0
2 3 3
0 1 1
2 0 2
2 0 1
1 2 1
2 2 1
1 3 0
10 9
1 2 2
0 1 1
0 0 0
2 0 2
1 1 0
2 0 0
1 1 1
0 1 2
2 2 2
1 0 1
10 8
2 0 2
0 1 0
1 2 2
1 0 0
0 2 0
1 2 0
1 1 2
2 2 0
1 1 0
1 2 1
10 2
1 1 2
1 1 1
1 0 2
2 0 2
0 0 2
0 1 2
1 2 2
1 2 1
2 2 1
1 1 0
10 6
3 3 3
0 3 1
1 3 1
3 3 2
2 3 0
1 2 2
3 0 1
3 3 0
1 2 0
2 0 1
10 5
0 2 1
0 1 1
2 2 0
0 3 1
3 0 3
1 1 0
3 1 2
2 1 3
3 0 0
1 3 2
10 7
2 0 2
2 3 3
2 2 0
1 0 2
3 1 1
3 0 1
3 3 3
1 1 3
3 2 1
0 1 1
10 3
0 0 3
3 0 2
2 3 1
2 1 0
0 3 3
2 2 2
3 1 2
3 2 2
3 0 1
0 0 1
10 6
1 0 2
2 2 2
0 2 1
0 1 0
0 1 2
2 2 0
1 2 2
0 2 0
1 1 2
2 0 2
10 3
3 0 0
1 0 3
1 2 0
1 2 2
3 0 2
1 1 2
1 1 3
3 3 3
1 0 1
0 3 1
10 4
3 2 1
0 2 3
2 2 2
3 1 1
3 0 1
3 2 2
2 3 3
3 3 0
3 0 0
3 3 1
10 4
1 1 3
3 3 2
0 0 3
0 3 0
2 2 3
2 1 0
1 2 3
0 2 3
1 0 1
1 1 0
10 3
0 2 2
2 1 2
0 0 0
1 1 0
2 2 0
1 2 2
0 1 1
0 1 2
2 1 0
1 0 2
10 9
0 3 3
2 3 1
3 0 0
1 0 1
1 0 0
1 1 1
1 2 0
2 1 3
3 3 0
2 2 0
10 8
2 0 3
0 1 0
0 1 1
0 3 3
0 3 2
3 2 0
1 2 0
3 0 1
3 1 2
2 1 0
10 2
0 1 0
0 1 1
0 2 0
1 2 0
0 2 1
2 1 0
1 2 2
2 1 2
2 1 1
1 0 0
10 9
2 1 0
2 2 0
1 0 2
0 2 1
0 0 2
2 1 1
0 1 2
2 2 2
2 2 1
2 1 2
10 6
0 0 1
0 2 2
1 1 2
1 0 1
3 0 3
3 2 0
2 3 2
0 3 1
1 1 3
3 2 2
10 9
2 0 0
1 1 0
1 2 0
2 2 0
0 2 2
1 2 1
1 0 0
0 1 0
0 1 2
0 0 2
10 3
2 3 3
3 1 1
1 1 0
3 0 2
2 1 3
3 3 3
3 0 0
1 0 0
2 0 1
0 1 2
10 6
0 0 2
1 1 0
2 2 1
2 1 0
0 0 1
1 0 0
1 0 2
1 1 1
1 2 2
1 1 2
10 8
0 0 1
3 1 0
0 3 0
1 0 1
3 3 2
2 3 0
1 1 3
3 3 0
3 3 1
2 0 2
10 9
0 0 0
3 1 0
3 1 1
2 1 1
1 0 2
1 1 0
0 1 1
1 3 1
2 3 0
2 0 1
10 8
0 0 2
1 2 0
2 1 0
0 0 1
2 0 0
2 2 0
0 1 2
2 2 2
1 1 1
0 2 2
10 9
2 0 2
1 2 2
1 3 2
1 1 0
3 1 2
1 0 3
1 3 3
1 2 3
2 3 3
2 0 1
10 3
1 1 2
0 0 0
0 1 1
1 1 0
1 2 0
0 2 1
0 2 2
2 1 2
1 0 0
0 2 0
10 6
0 2 2
2 1 0
2 1 3
1 3 2
0 0 3
0 2 3
2 3 3
1 2 1
2 1 1
2 2 3
10 3
1 0 2
0 1 0
1 1 0
2 2 2
1 1 1
2 0 2
2 1 1
0 0 0
1 1 2
0 2 2
10 2
1 2 0
2 2 2
2 2 1
0 1 3
2 3 3
1 0 3
2 1 3
1 1 3
0 1 1
3 2 0
10 4
3 0 0
1 1 3
2 0 1
0 2 2
1 3 0
3 2 2
0 0 1
1 3 3
0 1 2
3 2 3
10 5
2 0 1
1 1 2
0 0 2
2 1 2
2 2 0
1 1 1
2 0 2
0 1 0
1 0 0
0 0 1
10 9
0 0 2
1 2 1
0 2 0
1 2 0
1 1 0
0 0 0
0 1 1
1 2 2
2 0 1
1 1 1
10 3
2 0 1
2 2 0
2 0 2
0 2 2
0 1 2
0 1 1
0 2 1
1 2 0
1 1 1
0 0 0
10 9
3 2 1
3 3 0
1 1 3
1 0 0
3 0 2
1 3 3
0 3 3
2 2 0
0 2 3
2 3 2
10 8
1 2 2
2 1 1
1 1 2
0 1 1
0 2 2
1 2 0
2 0 2
0 1 0
2 1 2
2 1 0
10 9
1 2 0
2 0 0
1 0 0
2 0 2
0 2 1
0 1 1
1 2 1
2 1 0
0 0 0
1 0 1
10 2
1 0 2
0 1 0
2 1 0
1 2 1
0 0 1
0 2 1
0 2 0
0 1 2
2 2 2
2 1 1
10 2
1 1 2
0 0 2
1 1 1
0 2 0
2 0 2
0 0 1
1 0 0
0 1 0
0 0 0
1 0 2
10 9
0 1 0
2 0 1
2 0 0
2 2 1
0 1 1
1 2 0
1 1 1
0 2 0
0 0 1
1 0 2
10 6
2 0 2
1 0 2
0 1 1
0 1 0
1 2 2
0 0 2
2 0 0
1 1 2
1 1 1
0 2 0
10 9
2 1 1
2 0 1
1 0 1
2 2 1
2 2 2
1 1 2
1 1 0
2 0 2
1 0 2
0 0 1
10 7
1 3 1
1 3 0
2 1 2
2 1 3
0 2 3
2 2 2
0 1 3
3 0 2
3 3 3
2 3 1
10 9
1 2 1
0 1 0
2 2 2
1 1 0
1 2 0
2 2 1
2 0 0
1 0 2
0 1 2
0 2 2
10 6
1 2 1
2 2 2
0 1 1
1 2 2
0 2 2
2 0 0
1 1 1
0 1 0
0 0 0
0 1 2
10 7
0 0 0
1 0 2
0 0 3
0 0 1
0 1 0
2 2 1
2 3 1
1 1 3
0 1 2
1 3 0
10 5
3 1 0
3 2 0
0 2 3
0 0 1
2 2 1
1 1 1
2 0 1
3 2 2
3 3 2
0 3 3
10 9
1 2 2
0 0 1
1 2 0
3 2 3
0 1 1
2 2 3
0 0 3
2 2 0
2 1 2
3 1 3
10 7
1 2 1
0 1 2
1 2 0
2 0 2
0 0 0
1 0 2
1 0 0
1 2 2
0 0 1
2 0 0
10 7
3 3 0
2 1 2
3 3 3
3 2 3
3 1 2
1 2 0
3 0 0
3 0 1
2 3 3
0 2 2
10 7
3 1 1
1 2 2
2 1 3
2 2 2
1 2 0
2 0 0
0 3 1
0 3 3
2 3 2
3 3 2
10 9
2 1 2
1 1 2
0 0 2
2 0 2
2 2 1
1 1 0
1 0 2
1 0 0
0 0 0
0 2 2
10 5
1 1 2
1 2 2
0 0 0
3 1 1
0 2 0
0 3 2
1 0 0
2 2 0
2 2 3
0 0 2
10 5
2 0 0
2 0 1
0 0 2
2 1 1
1 0 1
1 0 0
2 1 2
2 0 2
0 2 1
0 1 0
10 8
1 1 3
0 3 0
0 1 3
1 2 2
1 3 1
0 2 0
1 2 3
2 2 3
0 1 1
0 2 3
10 9
3 2 3
1 3 1
2 3 0
3 0 0
2 3 1
3 3 0
1 3 2
3 1 3
3 1 2
2 2 0
10 6
1 0 3
3 1 3
3 3 3
3 2 1
1 2 2
2 3 3
0 2 2
0 3 1
2 0 3
3 2 3
10 5
3 0 3
2 2 3
0 3 1
0 2 2
2 1 3
3 1 0
3 3 1
0 0 2
2 3 3
0 0 0
10 8
1 0 1
2 2 2
0 2 1
0 2 2
2 0 0
1 1 1
0 0 1
1 2 1
2 0 1
1 1 2
10 6
3 0 1
3 1 0
1 2 0
3 2 3
1 2 1
2 1 2
1 1 3
0 0 2
0 3 1
0 3 3
10 4
1 1 2
2 0 2
0 1 0
1 2 0
1 0 1
0 0 2
2 0 1
1 1 0
1 0 2
1 1 1
10 7
2 2 2
1 2 1
2 1 1
2 1 0
2 0 1
0 2 1
1 1 1
0 1 2
2 0 0
1 0 1
10 7
0 1 3
0 2 0
1 3 0
0 3 1
2 1 1
1 1 2
3 1 0
1 2 0
3 3 1
0 2 2
10 5
0 2 2
1 2 2
2 3 2
0 2 0
3 2 1
0 3 1
3 3 0
1 3 3
2 1 1
2 0 1
10 4
2 0 0
0 0 0
2 2 1
2 0 2
0 2 1
2 2 0
1 1 2
0 1 0
0 2 0
1 2 2
10 8
1 1 0
1 2 2
3 0 2
0 3 2
2 2 0
0 2 2
3 2 3
2 0 0
0 1 0
3 1 2
10 7
1 0 1
0 2 1
1 1 1
2 0 2
1 0 2
0 2 2
0 0 2
0 1 2
1 1 2
2 2 0
10 2
3 1 2
2 0 2
0 1 2
0 1 0
1 0 1
0 3 3
0 3 0
2 1 0
1 2 0
2 2 1
10 7
1 1 0
3 2 0
2 2 0
1 2 3
1 2 0
3 1 3
0 0 3
3 2 3
2 0 2
0 2 0
10 5
2 0 2
0 2 0
1 1 2
1 1 1
1 2 0
2 1 1
0 1 1
0 0 2
2 2 2
2 2 0
10 8
0 1 1
1 0 1
2 0 2
1 2 0
0 1 2
0 2 1
1 0 2
1 1 2
2 1 1
2 2 2
10 5
2 0 3
0 0 2
3 1 0
3 2 2
2 3 3
2 2 2
3 3 3
2 3 0
0 1 1
2 2 1
10 6
2 1 1
0 1 0
2 2 2
2 0 2
1 0 0
1 2 0
0 2 1
0 2 0
0 1 2
2 2 0
10 5
2 2 0
1 0 1
1 0 2
2 1 0
0 0 2
1 1 0
2 0 0
2 0 2
2 1 2
0 1 0
10 6
3 2 1
1 2 1
2 3 1
2 3 2
1 3 1
0 1 3
3 3 1
1 3 0
2 1 0
0 2 3
10 8
0 2 3
3 3 3
2 0 0
2 1 0
1 0 2
3 0 3
0 3 1
2 1 1
2 3 0
2 0 2
10 2
1 2 0
1 0 2
2 1 2
1 0 1
2 0 2
0 2 1
2 2 1
1 1 2
0 1 1
0 0 1
10 7
1 1 2
2 1 2
0 2 0
0 0 1
1 0 2
2 2 1
1 0 1
2 0 1
1 1 0
2 0 0
10 6
1 0 0
2 0 0
1 1 1
3 3 0
0 3 3
0 2 3
2 0 2
2 1 2
2 3 0
1 3 3
10 5
1 2 2
0 1 2
1 0 2
1 2 1
2 1 2
0 0 0
2 1 0
1 0 1
1 1 1
2 2 2
10 6
2 0 1
0 3 2
2 1 2
1 2 1
3 1 2
0 1 0
3 1 0
0 2 0
0 1 2
0 1 1
10 5
2 0 1
1 1 1
1 2 1
1 2 2
0 1 2
2 0 2
0 0 0
3 2 3
2 3 0
0 0 3
10 5
2 1 2
2 0 2
0 1 0
0 2 0
1 0 1
1 2 0
2 1 0
1 1 0
2 2 2
0 2 2
10 8
2 0 2
3 1 0
2 2 3
3 0 3
2 2 1
0 0 0
3 0 1
3 0 0
3 1 2
2 0 3
10 7
2 0 2
1 0 2
2 2 2
0 0 2
1 2 1
0 2 0
2 2 0
1 1 0
0 2 2
0 0 1
10 6
0 1 2
1 3 3
0 3 0
3 1 0
2 0 0
2 2 1
3 3 2
3 0 0
1 2 0
0 2 1
10 6
1 2 0
2 2 1
1 0 2
2 2 2
1 2 2
1 1 0
0 2 1
0 1 2
1 0 1
0 1 1
10 4
1 2 1
0 0 2
0 3 1
1 3 3
0 3 2
2 0 2
0 2 0
2 3 0
0 3 0
2 3 3
10 5
1 1 2
1 0 2
0 0 2
0 2 2
0 0 1
0 2 0
1 0 1
2 1 2
1 2 1
2 2 0
10 7
2 1 1
0 1 0
0 3 2
3 3 2
0 1 2
2 0 3
0 0 3
3 0 2
0 1 3
3 3 1
10 5
0 3 2
1 1 2
1 3 0
1 2 2
3 0 3
2 2 2
2 2 1
1 0 1
0 2 2
0 1 1
10 3
3 0 2
0 3 3
2 0 2
2 2 2
1 0 0
2 3 2
1 2 3
0 2 2
1 2 2
2 2 1
10 9
0 3 1
3 1 0
0 2 1
1 3 1
3 3 2
2 1 3
1 1 1
3 1 3
0 0 0
0 0 1
10 5
2 0 1
1 2 2
3 1 0
2 1 3
0 1 1
3 2 1
0 1 0
1 1 2
2 1 0
2 0 2
10 4
3 3 2
3 2 2
0 3 1
0 2 0
3 2 1
2 2 3
2 0 1
2 1 2
2 1 1
3 2 3
10 5
0 0 2
2 1 0
0 1 0
0 2 1
1 2 2
1 2 1
1 0 0
0 0 0
2 2 0
1 0 2
10 8
0 0 0
0 2 1
1 1 1
2 2 2
2 1 1
2 2 1
2 2 0
1 2 2
0 1 0
2 1 0
10 9
0 2 3
1 3 3
3 0 3
2 1 0
2 3 2
0 1 1
0 2 1
1 3 1
2 0 0
2 3 1
10 4
2 2 2
1 2 2
0 1 0
0 2 0
1 1 0
1 1 1
0 2 1
0 2 2
0 0 1
1 0 1
10 7
2 0 2
2 0 0
0 2 1
1 2 2
0 1 0
0 2 0
1 2 1
0 0 0
1 1 2
2 1 2
10 9
1 3 0
2 2 2
2 3 0
1 0 1
3 1 0
2 0 0
0 0 0
3 1 2
3 3 2
3 0 2
10 2
2 0 1
2 1 1
2 0 2
1 1 2
0 0 1
1 1 1
0 1 2
1 2 0
1 2 1
0 2 2
10 8
0 0 1
1 3 0
1 0 3
1 0 0
3 3 0
0 3 1
0 0 0
1 0 1
0 2 3
2 0 2
10 9
2 1 0
1 2 1
1 0 1
1 2 0
0 1 2
0 2 0
2 2 1
2 0 1
0 2 2
2 2 0
10 9
3 0 2
3 0 3
2 2 0
0 1 2
2 0 3
2 2 3
1 2 3
2 1 1
3 1 0
2 1 3
10 4
2 2 3
0 2 3
1 1 3
2 0 1
1 0 2
2 2 0
2 3 0
3 2 2
2 0 2
2 1 2
10 8
1 2 1
2 2 1
1 0 1
0 2 1
0 0 0
1 2 0
0 0 1
2 0 2
2 2 2
1 1 0
10 7
2 2 0
1 2 0
1 0 0
1 0 2
2 2 1
2 0 0
2 0 1
2 0 2
1 2 1
2 1 0
10 6
2 1 0
1 1 0
2 2 0
1 1 2
1 1 1
2 2 2
0 1 1
0 2 2
1 2 2
2 1 2
10 9
2 2 0
1 0 0
1 1 0
2 1 0
0 1 0
2 0 2
0 0 2
2 1 2
1 2 2
1 0 2
10 2
1 2 1
1 0 1
2 1 0
0 0 0
1 0 0
0 1 0
0 2 0
1 2 0
1 1 0
2 2 2
10 6
0 0 2
2 2 1
2 0 1
1 2 0
1 0 0
0 0 1
2 1 1
0 1 2
0 2 0
2 2 2
10 7
0 1 1
1 0 0
2 2 2
0 0 0
0 1 0
1 2 1
2 0 2
2 1 1
2 2 1
2 2 0
10 5
1 1 2
3 0 3
1 2 1
2 1 3
3 2 1
1 1 1
0 0 1
0 2 1
2 3 3
2 1 0
10 7
1 2 1
2 0 2
0 0 1
0 1 2
2 3 3
0 1 0
3 1 2
0 2 3
3 0 2
2 2 3
10 7
2 2 0
0 2 3
2 3 3
2 0 3
3 2 3
0 3 2
3 2 1
0 1 3
2 2 1
2 1 1
10 8
2 0 2
2 0 1
0 2 2
1 1 0
1 1 1
0 2 0
0 1 0
1 2 2
2 2 2
2 2 1
10 7
1 1 1
2 2 2
2 2 1
1 3 0
3 3 2
1 0 3
2 2 3
1 1 2
3 2 2
3 3 3
10 4
3 1 1
1 3 1
2 2 2
3 3 1
3 1 0
2 0 3
1 3 3
1 2 1
0 3 0
0 0 2
10 7
2 1 1
2 2 0
2 1 2
0 0 0
1 2 2
0 1 0
0 2 1
1 1 2
0 2 0
0 1 2
10 2
0 1 1
2 1 2
0 0 1
2 2 1
0 2 0
2 1 1
0 2 1
0 2 2
2 2 0
1 1 0
10 3
2 0 2
0 1 2
2 1 1
2 2 1
0 0 2
0 2 2
1 1 0
1 1 2
2 0 0
2 2 0
10 7
1 0 1
0 1 2
0 0 3
3 1 2
0 0 2
2 1 1
3 2 1
3 0 2
2 2 0
0 1 1
10 9
3 3 3
1 0 2
2 2 2
3 0 1
0 1 1
0 2 3
1 2 0
0 2 1
1 1 3
2 3 1
10 4
0 1 1
0 0 2
2 2 0
0 2 0
0 0 1
0 2 2
2 0 0
2 1 1
0 1 0
1 2 2
10 2
1 2 1
1 2 0
2 1 0
2 2 0
2 1 2
0 1 0
1 0 2
0 2 1
1 2 2
0 1 1
10 5
0 2 3
1 1 1
1 2 3
1 1 2
3 3 1
2 0 1
0 1 3
3 1 2
0 1 2
0 1 0
10 8
1 1 2
2 0 2
1 2 1
2 2 2
0 2 2
0 0 2
1 1 0
1 0 0
0 1 1
1 1 1
10 9
3 2 1
2 1 0
0 3 2
0 0 0
1 2 3
2 2 3
2 2 1
3 0 2
3 1 1
2 0 2
10 7
0 2 0
0 1 0
2 2 2
1 1 2
0 1 2
1 2 2
1 0 1
1 1 1
0 2 1
2 1 2
10 9
2 1 3
0 0 2
2 3 3
0 0 1
1 0 0
0 2 3
0 1 1
2 2 3
1 1 0
0 2 1
10 2
2 1 1
0 2 2
2 2 0
2 1 2
1 2 1
1 2 0
0 1 2
0 0 1
1 1 0
1 0 2
10 5
3 3 0
2 1 3
0 3 3
1 1 3
1 0 3
0 3 2
1 1 0
0 1 3
2 0 0
3 3 1
10 9
3 0 1
1 0 1
0 3 2
0 3 3
0 1 2
0 1 3
2 2 1
2 0 1
2 3 2
3 3 2
10 2
1 1 1
0 0 2
1 1 2
2 2 2
2 0 2
0 0 0
2 0 0
2 1 0
2 1 1
1 0 0
10 9
1 2 0
2 0 1
2 2 2
0 0 1
2 2 1
0 0 2
0 1 0
1 0 1
0 2 1
1 1 1
10 4
1 1 1
2 1 1
0 0 1
2 2 1
0 1 1
1 2 1
2 1 2
2 2 2
2 1 0
2 0 2
10 7
2 0 0
3 1 0
0 3 3
1 1 2
0 3 0
0 1 1
2 0 3
3 3 1
3 1 3
1 3 2
10 8
2 0 2
0 1 2
2 1 2
1 0 2
1 1 2
0 1 0
2 0 0
1 0 1
0 2 2
2 2 2
10 8
1 0 0
2 0 2
1 0 1
2 2 2
0 1 2
0 0 2
0 0 0
2 1 2
1 1 2
1 2 0
10 9
1 1 2
2 3 2
0 2 0
1 3 2
0 3 1
1 1 0
2 0 1
1 3 1
3 1 1
3 0 0
10 9
0 1 0
2 2 2
0 2 0
1 1 0
0 2 1
0 0 1
0 0 2
2 2 1
1 0 2
1 2 2
10 6
2 0 1
1 0 1
1 1 2
2 0 2
2 2 1
1 2 2
0 0 2
1 0 0
2 2 0
0 0 0
10 9
0 1 2
3 2 2
2 2 2
2 1 1
0 1 3
1 1 2
1 3 3
0 0 1
0 3 3
1 0 2
10 3
2 1 1
2 1 2
2 1 0
0 0 1
1 1 0
0 0 0
2 2 0
1 1 2
2 2 1
0 2 1
10 4
0 2 2
2 0 1
0 0 2
0 0 1
0 1 1
1 2 2
2 1 1
1 0 1
1 1 0
2 1 0
10 4
0 0 3
0 1 0
0 2 3
1 2 3
1 3 2
0 3 3
2 3 1
2 3 0
0 2 1
0 1 1
10 6
2 3 2
2 1 1
2 2 1
0 1 3
3 1 3
3 0 0
1 1 0
0 1 1
1 2 3
1 1 1
10 7
0 1 0
0 2 1
1 2 0
2 0 0
1 0 1
1 1 1
0 1 2
2 1 1
2 2 0
2 0 2
10 7
3 3 2
3 0 2
0 1 2
1 0 3
3 3 1
1 3 0
1 3 3
0 3 2
1 0 2
0 0 3
10 7
0 1 2
3 2 2
0 0 1
2 2 2
2 1 0
3 3 3
3 3 2
1 0 3
3 2 3
0 0 3
10 8
3 1 3
1 3 2
1 1 0
1 2 0
3 3 1
3 2 1
3 1 2
2 2 1
0 3 2
0 1 1
10 5
3 2 0
3 0 0
0 0 2
3 2 3
2 1 2
1 2 1
3 0 3
0 0 1
2 2 0
0 3 1
10 7
1 1 1
2 0 0
2 1 2
1 0 0
0 0 2
1 0 1
0 2 0
0 0 1
1 0 2
1 1 2
10 8
1 1 2
2 2 1
1 2 1
1 2 2
1 0 1
2 0 0
1 1 1
1 0 2
2 2 0
2 0 1
10 5
2 1 0
1 2 1
0 0 1
0 2 2
0 1 2
0 2 1
0 2 0
2 2 2
1 2 0
1 1 1
10 8
1 3 1
1 3 3
0 3 2
0 3 3
0 2 0
1 1 1
1 0 1
0 1 0
3 0 0
2 3 3
10 4
3 1 0
3 0 2
3 0 3
1 3 0
1 0 2
0 3 1
3 1 1
2 3 1
1 2 2
1 1 2
10 3
1 0 2
1 0 1
2 1 0
2 1 2
2 2 2
2 0 2
2 0 0
0 1 1
0 1 0
0 0 1
10 3
2 1 2
1 2 2
1 2 0
0 2 2
1 0 0
2 0 0
2 1 0
2 0 2
2 1 1
0 1 1
10 7
2 1 2
1 0 2
0 1 2
2 2 2
0 0 2
0 2 1
1 2 1
1 1 0
1 0 1
2 2 1
10 8
1 2 1
2 0 0
1 1 2
2 0 2
1 2 2
2 2 0
0 0 2
2 1 1
0 2 2
1 2 0
10 3
1 1 0
3 0 1
0 3 1
1 3 2
1 1 1
3 1 0
0 2 0
1 2 1
2 3 2
2 0 0
10 6
0 2 1
2 2 0
1 0 0
2 2 2
1 2 2
0 0 0
0 1 2
0 1 0
2 0 0
2 1 0
10 2
3 0 3
1 1 1
2 3 3
0 1 1
0 1 2
3 1 2
0 3 1
0 1 3
1 3 1
2 2 1
10 4
0 1 2
1 2 0
2 0 0
1 1 0
1 1 1
2 0 1
0 0 1
0 1 1
2 2 2
1 2 2
10 3
1 1 3
3 0 3
3 2 0
1 0 2
3 1 1
0 1 3
3 1 0
3 0 0
2 3 2
3 2 2
10 8
0 2 1
0 1 0
1 1 2
2 0 2
0 1 1
1 0 0
0 1 2
1 1 1
1 2 1
1 2 0
10 8
2 1 2
3 1 3
3 2 0
1 0 0
0 0 2
2 3 3
3 0 0
1 2 3
0 3 0
2 0 3
10 6
0 0 0
1 0 1
2 2 1
2 1 1
2 0 2
1 1 1
1 1 2
1 2 1
2 1 2
2 0 1
10 5
1 0 2
0 1 2
0 2 2
0 1 1
0 0 2
1 2 1
2 0 1
2 1 1
1 0 1
2 1 0
10 2
1 2 0
3 1 2
3 2 1
0 1 2
2 0 0
1 3 1
0 0 1
2 0 2
2 3 2
0 2 0
10 5
2 2 3
3 0 3
0 3 1
3 1 1
0 0 0
0 3 0
3 0 2
1 1 1
2 0 1
1 2 0
10 8
0 0 1
1 0 0
2 0 2
2 1 2
0 2 0
2 0 1
1 1 1
2 2 1
0 1 1
1 0 2
10 8
3 3 3
1 1 0
2 2 0
1 1 1
1 2 2
0 1 2
0 2 3
3 1 1
3 0 2
0 3 0
10 7
1 0 2
2 1 0
1 2 1
2 0 1
0 2 1
2 0 0
0 0 0
0 2 0
1 1 0
0 1 1
10 5
2 0 3
2 1 1
1 0 1
3 0 0
3 2 2
1 1 3
1 0 2
0 1 2
3 1 2
3 2 3
10 7
1 0 2
2 1 2
0 0 1
0 1 0
2 2 0
0 1 2
0 2 1
0 2 2
0 2 0
2 1 0
10 7
0 3 3
3 2 1
1 2 1
2 1 0
0 3 0
1 1 1
2 2 2
0 1 3
1 2 0
1 0 0
10 3
1 0 1
0 0 0
0 2 0
1 1 2
0 1 1
0 0 1
0 2 1
0 1 0
1 0 2
2 0 1
10 8
2 1 2
1 2 1
1 2 2
0 1 0
2 1 0
0 0 1
2 0 1
0 0 2
2 2 2
1 0 2
10 6
3 0 0
0 2 1
2 2 3
0 0 3
0 1 3
3 1 0
3 3 1
1 1 3
0 3 1
3 0 3
10 4
2 0 3
3 2 3
3 2 0
1 3 0
1 2 0
2 2 2
3 1 3
0 1 3
3 3 0
2 2 3
10 3
3 0 3
1 3 3
3 2 0
1 2 1
2 3 2
2 3 1
2 2 1
3 1 0
2 1 3
1 1 0
10 9
1 2 1
2 1 2
1 2 0
1 0 0
2 2 1
0 1 0
2 0 2
2 0 1
0 0 2
2 0 0
10 6
1 2 1
2 0 2
0 0 2
2 2 2
1 0 0
1 1 1
1 2 0
2 1 2
1 2 2
2 1 1
10 5
1 3 1
3 2 1
2 2 3
0 1 2
0 2 3
2 1 2
2 0 2
0 3 2
3 1 3
3 2 0
10 2
1 1 1
0 0 0
3 2 3
1 3 2
1 3 1
1 2 3
0 2 2
1 1 3
2 1 0
3 1 3
10 2
2 0 2
1 1 3
3 3 0
3 3 1
0 1 3
1 0 2
2 0 0
3 3 2
0 3 1
3 0 2
10 3
0 0 1
2 2 1
1 3 3
2 0 0
0 1 2
0 1 1
2 2 0
3 3 1
0 0 2
1 0 3
10 4
1 0 0
0 1 1
1 2 0
2 0 0
0 1 2
2 2 2
2 2 1
2 1 0
0 2 2
1 0 2
10 3
0 1 1
1 0 0
1 2 1
2 1 1
1 1 1
1 2 2
1 0 1
1 0 2
2 0 2
2 2 0
10 9
1 1 3
1 1 1
1 0 3
0 3 1
2 3 3
1 3 0
1 2 3
3 1 1
1 3 1
1 2 0
10 4
3 3 0
0 0 1
1 3 0
2 1 2
3 0 2
2 1 1
1 1 2
0 0 2
3 1 2
0 3 0
10 9
0 0 0
0 0 1
0 2 1
0 2 0
0 1 1
1 2 1
2 2 0
0 1 2
1 1 2
2 0 1
10 9
1 2 0
2 1 2
2 2 2
2 1 1
2 2 1
0 0 1
1 0 2
1 2 2
0 2 2
0 1 0
10 6
2 0 2
1 2 2
0 0 0
2 1 1
1 0 0
0 1 1
2 1 2
0 1 0
2 0 0
2 2 2
10 4
1 2 0
1 1 0
0 0 1
1 2 1
0 1 0
2 1 0
2 0 1
0 2 0
1 0 1
2 0 0
10 5
2 2 2
3 1 3
3 3 2
3 2 1
2 1 2
3 3 0
1 3 3
2 2 3
3 3 1
0 1 0
10 6
3 3 0
0 1 1
1 1 0
1 0 3
0 2 3
3 2 1
3 3 2
3 0 2
0 3 0
0 2 2
10 4
2 0 2
1 1 2
1 0 1
2 2 1
1 2 1
0 1 1
0 1 2
0 0 1
2 0 1
0 2 1
10 8
2 0 0
0 2 2
1 0 0
0 0 1
1 2 1
2 1 0
1 2 2
1 0 2
0 0 0
2 1 2
10 5
1 3 3
3 1 2
3 1 1
1 2 3
0 1 3
2 1 0
0 0 3
1 0 0
3 2 1
2 1 1
10 7
1 0 2
1 2 2
2 1 0
1 1 2
0 1 2
2 0 2
2 0 0
0 0 0
0 2 2
1 2 1
10 5
2 2 2
1 2 3
1 3 1
3 0 1
2 2 0
1 2 2
3 1 1
2 0 0
2 3 1
1 0 1
10 5
0 3 2
1 3 0
3 2 1
1 3 2
3 0 3
0 1 1
2 0 1
2 1 0
0 1 2
1 0 0
10 3
2 0 1
1 0 0
2 3 3
0 3 3
3 1 3
0 3 2
2 3 1
0 2 3
0 1 0
3 0 2
10 6
0 1 1
1 1 1
2 0 2
0 1 2
0 0 1
1 2 1
2 2 2
2 1 1
0 2 2
2 1 0
10 5
0 1 0
0 2 0
1 1 0
2 1 2
1 2 0
0 2 2
1 1 1
0 1 1
2 1 1
2 2 2
10 9
0 1 0
0 2 2
1 2 0
1 1 1
0 2 0
2 2 1
1 0 1
2 1 0
0 1 1
0 0 0
10 6
0 1 2
1 0 1
1 2 1
0 1 0
0 0 1
0 2 1
0 0 2
2 1 0
1 1 1
1 2 2
10 4
3 2 1
2 2 0
0 1 1
0 1 3
1 1 1
0 3 1
1 3 0
1 3 2
1 3 1
3 3 2
10 4
2 0 0
1 0 0
2 0 1
0 0 1
0 2 0
2 2 1
1 2 0
2 1 2
1 0 1
2 0 2
10 5
0 1 1
0 1 2
0 1 0
2 2 0
2 1 0
1 0 0
0 0 0
1 2 2
1 0 1
2 1 2
10 4
0 0 1
3 3 3
2 1 0
1 0 0
1 2 1
0 3 2
1 0 3
0 2 1
0 1 3
1 2 0
10 8
0 2 2
2 0 2
1 0 0
0 0 2
0 2 1
0 1 1
0 1 0
0 0 1
1 0 1
1 1 1
10 3
1 0 0
2 1 0
1 2 2
2 2 1
1 2 0
1 2 1
1 1 2
2 1 2
0 0 0
2 2 2
10 4
1 2 2
1 2 1
2 2 0
0 2 2
0 0 1
1 0 0
1 1 1
2 1 1
2 2 2
0 1 2
10 7
0 0 1
3 3 3
0 1 0
3 1 3
3 3 1
2 1 1
2 1 0
1 1 2
1 3 0
2 0 2
10 8
0 1 2
0 3 0
2 1 3
1 0 3
2 0 3
3 0 3
3 3 2
2 0 0
0 0 3
0 3 2
10 2
3 2 0
3 1 1
0 0 0
0 1 3
3 3 1
0 0 2
3 2 2
1 0 3
3 3 3
1 2 1
10 5
0 3 3
2 3 3
2 2 2
0 3 1
2 2 1
1 2 2
0 3 0
1 1 3
2 0 0
1 0 3
10 6
0 0 0
1 3 2
1 2 3
1 2 2
2 1 0
3 2 0
3 3 2
0 1 0
3 0 2
1 2 1
10 5
0 1 0
1 1 2
1 0 0
2 1 2
1 2 1
1 0 1
1 2 0
2 0 1
1 0 2
2 2 0
10 7
0 1 0
2 0 2
1 1 1
1 0 1
2 0 1
1 2 2
0 1 1
1 2 1
2 1 1
0 0 2
10 2
2 2 2
2 0 1
1 1 2
0 2 1
1 0 1
0 2 0
0 0 0
2 1 0
1 1 0
1 2 1
10 9
0 3 3
0 3 2
0 1 0
0 1 3
1 3 3
3 1 3
1 0 1
3 1 1
0 0 2
3 1 2
10 2
2 0 0
0 0 1
2 1 0
2 2 2
2 1 1
2 2 0
1 1 0
1 2 0
0 2 0
0 1 2
10 9
3 2 3
2 0 0
1 2 3
2 1 1
1 2 1
3 3 0
0 0 0
1 2 0
1 1 2
2 1 3
10 3
1 1 0
3 1 0
0 2 2
1 0 2
1 3 1
3 2 2
1 1 3
3 0 3
1 0 1
3 2 0
10 5
1 2 2
1 1 1
2 0 1
1 2 1
0 1 1
2 2 0
1 0 2
0 0 2
0 2 2
2 1 2
10 5
2 0 1
1 2 0
0 0 2
0 1 2
2 1 1
2 0 0
0 1 0
0 0 1
1 0 0
0 0 0
10 4
1 1 0
1 2 0
2 0 0
2 1 0
0 2 2
2 0 2
0 2 1
2 1 2
1 1 2
0 0 1
10 5
2 2 0
2 2 2
1 0 2
0 1 2
0 2 2
2 1 0
0 0 0
2 0 0
0 1 1
1 1 0
10 4
2 2 2
0 1 2
1 1 2
0 2 1
2 2 1
2 1 2
1 2 0
2 1 1
1 2 2
0 2 0
10 5
0 1 0
0 0 2
1 0 2
1 1 2
2 1 0
2 0 1
1 2 0
1 2 2
1 1 1
0 0 1
10 6
1 1 1
3 3 1
1 3 0
0 1 1
0 3 3
0 1 3
3 1 2
2 1 2
2 2 1
2 3 2
10 8
1 3 2
1 3 3
3 2 0
0 1 3
0 2 1
0 2 0
1 1 1
2 2 0
1 0 1
2 3 3
10 7
1 1 0
0 0 2
1 2 2
2 2 0
2 1 2
0 2 1
1 0 2
0 2 2
0 0 1
1 1 2
10 9
0 0 0
1 3 2
3 1 2
2 3 0
3 0 2
2 0 0
0 3 1
1 1 3
2 2 1
1 0 0
10 4
1 3 0
1 1 3
3 1 2
1 2 0
1 0 1
0 3 1
2 3 2
3 0 3
1 3 2
1 0 3
10 5
3 3 1
0 3 3
3 0 3
2 2 0
0 2 2
1 0 1
1 0 2
2 2 1
3 0 1
0 1 0
10 2
1 2 1
0 0 1
1 0 0
2 0 2
2 0 0
1 1 1
2 2 0
2 1 1
0 1 1
1 2 2
10 5
1 2 0
3 2 1
3 0 2
0 1 0
0 1 2
2 0 0
0 2 3
1 3 0
2 1 1
0 0 3
10 2
0 2 0
2 2 2
2 1 0
1 1 0
1 2 2
0 0 2
0 0 1
2 0 1
1 0 2
2 2 0
10 2
2 2 2
2 0 0
1 2 1
0 1 2
1 0 2
2 1 0
0 1 0
0 2 1
2 1 1
1 1 0
10 9
0 2 1
0 0 1
1 1 0
0 2 0
0 1 1
2 0 1
1 0 1
0 2 2
0 1 0
2 2 2
10 3
3 1 2
3 0 2
0 0 1
1 1 1
0 0 3
1 3 1
2 0 3
2 3 2
3 1 3
2 0 0
10 2
2 0 1
1 1 1
0 0 2
1 1 2
2 2 2
1 1 0
0 1 0
0 2 2
0 0 1
1 2 1
10 3
2 3 2
3 1 0
0 3 0
3 1 1
3 0 3
1 1 1
1 2 1
3 2 3
1 1 3
0 3 1
10 9
2 0 2
0 0 3
2 1 3
1 0 3
0 1 0
1 1 1
2 0 3
0 1 1
0 0 2
1 2 1
10 5
1 3 1
2 3 0
0 2 3
2 0 0
1 0 0
0 0 0
0 0 3
1 0 3
1 3 3
2 3 3
10 2
1 2 0
2 1 0
1 2 2
2 2 2
2 0 1
1 0 1
0 2 1
1 1 2
2 1 1
2 1 2
10 4
0 1 1
2 3 1
3 0 0
2 0 1
0 1 0
1 2 1
1 3 1
3 3 2
0 3 1
3 0 2
10 7
2 3 0
0 3 3
3 0 0
2 1 3
0 2 0
0 2 3
1 2 3
0 3 2
3 2 2
0 1 3
10 7
1 1 2
1 0 1
1 1 1
2 0 0
1 0 2
2 2 2
2 0 2
0 2 1
1 2 0
0 2 2
10 2
0 3 3
2 3 0
3 1 1
1 3 0
2 0 1
2 0 0
0 1 0
0 0 3
2 1 3
3 3 1
10 5
2 2 1
2 0 0
0 2 2
1 2 1
1 0 1
1 1 2
2 0 2
1 0 0
2 0 1
0 0 2
10 3
1 1 0
2 1 1
2 0 0
1 0 0
1 2 0
1 1 2
0 0 2
2 1 2
0 0 0
2 2 0
10 2
2 0 2
2 0 1
2 2 2
1 0 2
0 1 0
1 2 2
0 0 0
2 2 1
0 1 2
2 1 1
10 6
0 2 2
0 0 0
2 0 2
0 0 1
0 1 2
1 1 1
1 0 0
0 2 1
1 1 0
1 0 2
10 9
0 1 1
1 1 2
1 1 1
2 1 1
2 1 2
2 1 0
1 2 2
2 0 2
1 0 2
1 0 1
10 5
1 1 0
1 3 2
3 2 1
2 1 1
0 0 2
2 0 0
0 2 1
3 2 0
1 3 1
3 2 2
10 8
2 1 2
2 2 2
0 0 0
0 1 0
1 1 2
1 2 2
1 0 2
0 0 1
2 0 0
1 2 0
10 4
0 2 0
0 2 1
3 0 1
0 1 3
1 1 1
1 3 1
0 1 2
0 0 2
2 0 0
3 2 3
10 3
0 1 2
1 2 1
2 0 0
0 2 1
1 2 2
2 1 1
2 0 2
2 1 2
0 0 1
1 2 0
10 6
1 1 1
2 1 1
0 1 0
2 1 2
0 2 1
1 2 2
1 0 0
0 2 0
2 0 2
2 2 1
10 4
1 1 1
0 2 1
0 1 1
0 2 2
2 2 0
0 0 2
1 0 1
1 2 0
2 1 0
0 1 2
10 8
2 2 3
2 0 3
2 1 1
2 1 0
1 1 2
2 2 1
2 3 1
1 0 1
3 3 1
2 0 1
10 4
1 1 3
0 1 1
2 1 0
2 0 0
3 1 1
1 3 3
1 2 0
2 1 3
3 0 0
1 3 1
10 6
1 3 2
1 1 1
3 1 0
0 0 2
0 3 2
3 2 1
1 2 3
0 3 1
3 0 2
2 3 2
10 6
2 0 3
3 1 1
2 1 2
3 1 2
1 1 1
1 3 2
2 3 2
1 1 0
2 2 3
1 0 1
10 5
3 1 2
3 0 2
1 2 1
2 1 1
0 0 1
3 2 2
1 1 0
3 3 3
2 3 2
0 2 2
10 6
2 1 0
1 2 0
0 0 1
2 0 0
0 2 0
0 1 1
2 2 1
0 0 2
0 2 1
2 1 2
10 4
3 0 1
1 2 3
2 1 1
2 0 0
2 3 1
3 0 2
0 0 3
3 3 3
0 1 0
3 3 1
10 4
0 0 1
2 0 0
2 0 2
0 1 0
2 2 0
0 0 2
1 3 0
2 2 2
2 0 1
0 3 0
10 8
1 3 3
3 3 0
0 2 3
2 0 2
3 2 2
0 3 2
0 0 1
0 3 0
1 0 2
3 0 0
10 8
1 0 0
2 1 0
0 1 2
2 2 1
2 1 2
1 0 2
0 0 2
1 1 2
0 0 0
2 0 1
10 4
1 1 0
2 0 2
0 2 0
0 0 2
1 1 1
1 0 1
1 2 0
2 2 2
0 1 1
2 0 1
10 3
1 2 0
0 1 2
2 2 2
1 0 1
2 1 0
1 2 1
1 1 0
2 0 2
2 1 2
2 2 1
10 5
0 0 0
1 3 3
1 3 1
0 0 2
1 1 3
2 1 2
0 3 0
1 0 0
3 2 2
2 1 1
10 3
2 1 1
0 2 1
2 2 2
0 1 1
1 2 0
1 0 1
1 2 1
2 0 2
0 0 1
1 1 0
10 9
3 2 3
1 0 2
2 3 0
3 0 2
2 1 2
1 2 0
2 0 1
1 1 3
0 2 1
0 1 2
10 9
1 2 1
0 2 2
2 0 2
2 0 1
0 0 2
0 1 2
0 0 1
1 2 0
0 2 0
0 0 0
10 7
0 0 2
0 2 0
1 2 0
2 0 2
0 0 1
2 1 0
1 0 0
1 2 1
2 1 1
2 2 0
10 8
2 2 0
0 1 0
1 2 0
2 1 2
1 0 2
1 3 2
3 1 1
3 0 1
0 3 1
1 3 0
10 8
0 3 1
3 2 2
0 3 3
0 3 0
3 3 3
3 3 0
3 0 1
1 3 0
2 0 1
1 1 0
10 2
0 3 1
2 3 1
1 3 2
1 2 0
3 2 1
2 0 3
3 2 0
0 3 3
0 3 0
2 2 0
10 6
3 1 3
3 1 2
0 1 2
2 2 0
2 1 2
2 2 3
0 0 0
3 0 1
2 0 1
0 0 1
10 9
0 0 2
1 1 2
1 0 0
0 2 0
2 2 1
2 0 2
1 0 1
2 0 1
1 2 1
2 1 1
10 5
2 0 1
0 2 1
2 1 2
2 1 0
2 0 2
1 1 0
0 0 2
2 1 1
1 1 2
2 0 0
10 6
1 1 1
2 0 1
0 0 0
1 2 0
0 0 2
1 0 0
0 2 2
0 1 2
2 1 1
1 1 2
10 5
0 2 2
2 2 1
1 1 0
0 0 2
2 0 2
1 2 1
0 0 1
2 2 2
1 1 1
0 0 0
10 3
0 2 1
1 2 2
1 0 1
2 1 1
0 2 2
2 2 0
1 2 1
2 2 2
2 1 0
0 0 0
10 9
0 0 0
3 0 3
1 0 2
2 3 1
0 0 2
2 3 3
2 1 0
2 2 2
2 0 3
1 3 2
10 5
0 1 0
0 2 1
1 0 0
1 0 2
2 1 1
2 1 2
1 0 1
0 2 2
1 1 2
2 0 1
10 7
1 0 3
0 2 3
1 1 0
3 2 1
2 2 3
0 1 1
3 3 0
1 0 1
1 2 1
3 2 2
10 8
2 1 1
3 3 3
0 3 2
1 2 3
1 3 3
1 0 2
2 0 2
2 2 1
2 3 2
0 3 0
10 3
1 3 2
3 2 1
1 3 1
0 0 3
2 3 1
1 2 2
0 0 2
2 1 2
2 0 2
0 2 3
10 3
2 1 2
1 2 2
1 0 0
2 3 0
0 2 3
2 2 1
1 2 0
2 2 3
3 1 3
2 3 2
10 5
3 2 2
2 0 3
3 1 0
1 2 3
0 3 2
1 0 3
2 3 1
1 1 2
3 1 2
0 0 0
10 3
1 2 2
0 0 0
2 1 0
1 2 1
3 1 3
2 1 3
2 1 2
0 1 2
1 0 3
3 3 3
10 2
2 3 3
2 0 0
0 3 1
2 3 0
3 0 0
1 1 3
1 3 0
1 3 1
1 0 2
2 2 3
10 6
2 0 2
0 0 1
2 2 0
1 1 0
2 0 0
0 1 2
2 2 1
2 1 1
1 0 2
1 2 1
10 7
1 1 2
2 2 0
2 2 1
0 0 2
2 1 0
2 1 2
1 0 0
0 2 2
1 1 1
0 0 1
10 3
1 3 0
2 2 3
3 0 2
1 0 3
2 1 2
0 0 0
1 3 1
2 1 1
3 1 2
1 3 3
10 3
1 1 0
0 1 2
0 2 3
2 1 0
2 2 0
3 2 2
2 3 2
0 0 0
0 1 1
1 1 1
10 9
1 1 0
1 2 2
2 2 1
0 2 1
1 0 0
1 2 1
2 0 2
1 1 1
0 0 0
2 1 2
10 2
3 0 0
2 2 0
3 2 0
3 0 1
2 2 3
2 0 3
0 3 0
3 3 2
0 3 1
2 1 1
10 2
1 2 1
1 2 2
0 0 2
1 1 1
2 1 2
2 1 0
0 2 1
0 2 0
2 2 0
1 0 1
10 8
1 1 2
0 0 0
3 3 3
0 2 3
0 3 1
3 0 0
3 0 1
1 1 3
1 1 1
0 1 3
10 2
3 2 3
3 3 1
2 3 0
2 0 1
1 3 1
3 3 3
0 2 3
3 1 1
1 2 2
3 3 0
10 4
1 2 0
1 0 2
3 0 1
2 2 3
2 3 3
2 0 0
0 3 0
1 1 2
1 2 1
2 0 2
10 5
2 0 3
1 0 2
0 2 2
3 2 2
2 0 2
0 3 2
2 3 2
3 3 0
3 2 1
3 2 0
10 6
1 1 2
0 1 0
0 2 2
0 0 1
1 1 0
1 2 0
2 2 2
2 2 0
0 1 1
0 0 2
10 4
0 2 0
1 1 1
0 0 0
1 0 1
2 2 0
2 0 2
2 2 2
1 0 0
1 1 2
2 0 0
10 2
0 3 3
2 3 1
0 3 1
3 2 2
1 1 2
2 2 1
2 0 1
2 0 2
3 2 3
2 0 3
10 6
3 3 0
3 2 0
2 0 3
0 3 3
1 1 2
3 1 2
1 2 1
2 2 3
3 3 2
3 1 3
10 3
1 1 0
1 2 3
2 0 3
0 2 3
0 1 0
3 2 0
1 0 0
2 0 2
0 1 2
0 3 1
10 9
2 3 0
1 0 1
0 2 0
1 3 0
0 0 1
3 2 3
3 3 1
2 1 1
2 0 1
1 3 3
10 7
0 0 0
1 2 1
2 2 2
1 1 1
2 0 0
0 2 0
0 0 1
1 2 0
1 0 2
0 1 0
10 9
2 2 0
0 0 1
3 0 1
3 3 0
1 1 0
0 3 1
3 1 2
0 2 3
3 1 3
2 2 1
10 6
2 2 0
0 1 2
2 1 0
0 2 2
1 0 0
0 1 0
2 2 2
0 1 1
0 0 1
2 2 1
10 5
0 1 2
1 1 1
2 2 1
2 1 2
0 0 1
2 0 2
1 1 0
2 2 0
2 1 0
1 1 2
10 9
2 1 2
2 0 1
2 0 2
1 1 1
0 2 0
1 0 0
1 1 0
0 2 1
2 2 0
0 1 2
10 3
1 3 3
0 2 0
3 0 0
2 1 2
0 0 0
1 2 0
2 1 1
3 3 1
2 2 2
0 3 2
10 2
2 0 0
1 0 1
2 2 1
1 2 2
1 1 0
0 1 1
1 1 1
0 1 0
1 0 2
0 0 0
10 8
0 3 1
0 2 0
3 2 2
2 3 3
0 3 2
3 0 2
2 1 2
1 1 1
2 2 2
3 0 3
10 9
1 0 2
2 1 3
1 0 3
1 3 3
1 2 1
2 3 3
2 0 0
3 1 3
2 2 1
2 0 2
10 6
1 0 2
0 2 1
2 2 2
1 1 2
2 1 1
0 1 1
1 2 2
2 0 1
2 0 2
1 2 0
10 6
0 2 1
0 1 0
0 0 2
0 2 2
1 0 2
1 1 2
1 1 1
1 0 1
2 1 2
2 1 0
10 4
2 1 2
1 0 0
1 0 2
0 2 3
0 3 0
1 1 3
2 3 3
2 3 0
3 0 0
3 1 3
10 8
2 2 3
3 1 1
3 3 1
1 3 2
1 0 3
0 0 3
3 2 1
2 2 2
1 2 3
0 1 1
10 4
2 0 0
0 0 1
0 1 0
2 2 1
2 1 1
0 2 2
1 0 1
1 1 0
2 2 2
1 1 1
10 6
0 1 1
3 1 1
2 3 3
2 0 1
1 1 3
1 0 3
2 3 0
1 0 1
2 2 3
0 1 2
10 7
1 1 1
1 0 1
3 0 0
0 3 2
0 2 1
3 3 3
0 1 1
1 3 2
0 1 3
3 2 3
10 5
1 2 2
3 1 0
0 2 1
0 0 1
2 1 3
3 3 1
0 3 3
1 3 0
1 0 1
2 0 2
10 3
2 1 0
2 1 1
1 2 2
0 0 1
1 1 2
2 0 0
1 1 0
0 1 2
0 2 0
1 0 2
10 7
2 1 2
2 1 0
1 2 1
2 2 0
1 1 0
1 2 2
0 0 2
0 2 1
0 1 1
2 2 2
10 2
0 2 0
1 0 0
1 3 2
1 2 2
1 3 0
2 1 3
1 3 1
2 2 0
0 3 3
1 0 1
10 7
2 0 3
0 0 1
1 0 2
1 2 0
1 0 3
2 2 2
3 1 1
1 3 0
1 2 2
2 1 0
10 4
1 0 0
2 0 0
0 0 0
2 1 2
0 2 2
0 1 0
1 0 1
1 1 0
2 2 0
0 0 1
10 2
2 2 1
2 2 0
2 1 0
1 1 2
1 1 0
2 0 2
1 0 2
1 0 0
0 0 2
2 1 2
10 5
2 2 0
1 3 3
3 1 1
0 2 1
3 2 2
2 2 3
2 2 1
1 0 3
3 2 1
0 1 1
10 6
1 2 1
2 2 0
2 1 2
2 3 1
3 1 2
2 3 2
0 0 2
2 0 1
2 1 1
1 2 2
10 3
1 1 0
0 1 2
0 2 0
2 2 1
0 2 2
1 0 0
1 2 2
0 0 1
1 0 2
2 2 0
10 3
3 2 0
0 3 2
0 3 3
0 3 0
0 1 2
0 2 3
1 0 0
1 3 3
0 1 1
1 2 0
10 6
2 0 0
2 1 0
1 2 1
0 0 0
2 0 1
0 2 2
1 2 0
1 1 2
2 2 1
0 1 1
10 8
2 1 0
2 1 2
0 2 0
0 0 2
0 1 1
1 2 0
1 1 2
1 1 1
2 2 2
0 2 2
10 2
3 3 0
3 2 3
0 3 3
2 2 1
1 0 1
0 1 1
2 3 2
2 0 2
1 1 2
3 3 2
10 8
0 2 0
2 0 2
0 0 1
0 2 2
0 1 2
1 0 0
2 2 1
1 2 1
1 1 1
2 1 0
10 7
0 0 1
1 2 2
2 0 1
1 1 2
0 2 2
1 0 1
2 2 1
1 0 2
1 2 1
0 1 1
10 4
1 0 2
2 1 2
2 0 0
0 1 1
1 0 0
1 1 0
0 2 1
0 1 0
1 0 1
2 0 1
10 2
0 3 1
3 3 2
1 1 0
0 1 0
1 1 1
2 3 0
0 3 0
2 2 1
1 0 3
3 1 3
10 9
3 0 1
1 3 3
0 0 0
0 3 1
2 1 0
0 1 3
1 2 3
0 3 3
2 2 2
1 2 0
10 8
1 1 1
2 2 0
2 0 1
2 0 0
1 2 0
0 2 0
1 0 2
0 1 1
0 0 0
0 1 0
10 8
2 2 2
2 0 1
0 2 1
1 0 2
0 1 0
1 2 1
0 2 2
1 2 2
1 2 0
1 1 0
10 8
3 2 2
2 3 1
3 1 0
1 0 3
2 2 1
2 0 2
3 2 3
1 1 3
2 3 2
0 0 2
10 8
0 3 0
1 3 0
3 2 3
1 1 1
2 3 2
2 1 2
0 0 3
1 0 3
2 3 0
2 0 3
10 8
3 2 2
2 1 3
3 0 1
1 1 3
0 1 0
2 3 3
2 0 0
0 1 1
0 0 2
3 2 1
10 8
2 2 1
0 1 0
1 0 2
0 1 2
2 0 0
2 2 2
0 2 0
2 1 0
1 0 0
0 2 2
10 8
1 1 1
0 0 3
2 1 2
0 0 0
3 2 3
2 2 1
1 0 0
1 0 3
2 2 3
0 3 1
10 2
2 0 2
3 3 1
0 2 0
0 3 2
1 2 3
3 1 3
3 1 0
0 1 0
0 3 1
1 1 2
10 8
2 0 0
0 2 1
1 0 0
2 2 0
0 1 2
2 1 2
2 2 2
0 1 1
1 1 1
0 0 0
10 6
2 2 1
2 0 0
0 2 1
0 1 1
1 1 2
0 1 2
0 2 2
2 2 2
2 2 0
1 0 0
10 7
2 1 1
1 2 0
2 0 3
2 3 1
3 3 3
3 0 3
2 1 3
1 1 0
3 3 1
3 2 3
10 4
1 3 3
2 2 1
3 3 3
2 1 1
2 3 3
1 0 3
2 1 3
1 1 0
0 0 2
1 3 0
10 7
1 0 1
3 3 0
1 0 3
0 2 0
3 2 0
3 1 3
3 1 0
1 3 2
1 1 0
3 2 2
10 3
1 2 1
1 1 1
2 2 2
1 1 2
1 0 2
2 0 2
2 2 1
0 0 2
1 2 2
1 0 1
10 3
2 0 1
1 0 2
0 1 0
0 0 0
2 1 1
2 2 2
0 2 2
1 0 0
2 0 2
0 0 2
10 6
2 0 2
1 1 2
3 1 0
1 1 0
3 1 3
2 0 3
3 1 2
1 2 0
0 3 1
0 2 1
10 8
2 2 0
2 2 1
2 0 1
2 1 2
0 0 1
0 2 2
1 1 1
2 0 2
1 0 2
1 2 2
10 7
2 2 0
1 1 2
0 2 2
0 1 0
0 1 2
2 0 1
2 1 1
0 0 2
1 2 2
0 1 1
10 9
0 0 0
1 0 0
0 2 2
2 2 0
0 1 2
1 0 2
0 1 1
1 2 0
1 2 1
0 0 1
10 6
0 0 1
0 2 1
0 2 0
2 0 2
2 1 2
0 1 0
1 2 2
2 2 0
2 0 1
1 1 1
10 3
1 2 0
1 2 1
2 0 1
1 2 2
2 0 2
0 0 2
1 0 1
1 0 2
2 1 2
2 1 1
10 2
1 0 0
2 3 3
0 3 2
0 2 1
2 3 2
2 1 2
0 1 1
3 1 0
1 2 1
1 0 3
10 2
3 0 1
1 0 2
2 3 1
1 2 2
1 1 0
1 3 2
2 2 3
3 3 2
0 1 3
1 2 0
10 3
2 2 1
1 2 0
1 1 0
0 0 0
2 2 0
2 0 1
2 1 2
0 2 0
1 1 2
1 2 2
10 6
1 2 1
0 1 1
1 1 1
1 0 0
2 0 1
1 2 2
1 1 0
2 2 0
0 0 2
1 2 0
10 8
0 3 2
3 3 1
0 1 1
1 0 3
0 0 1
2 0 1
2 1 3
3 3 0
3 0 1
1 2 0
10 9
0 1 2
1 0 2
2 0 0
2 1 2
2 0 1
0 2 2
2 0 2
2 2 1
0 0 1
1 2 2
10 2
0 3 0
0 3 3
1 2 3
3 0 0
1 0 3
3 0 3
0 2 0
1 0 0
3 2 1
3 2 3
10 7
0 1 1
0 0 1
2 1 0
1 1 1
1 1 0
2 0 2
1 0 1
0 0 0
0 2 2
2 1 2
10 8
1 0 3
1 0 0
3 0 0
2 2 3
2 2 0
1 2 3
0 1 0
1 0 1
3 2 3
0 2 1
10 6
1 1 2
1 0 1
0 2 1
1 2 1
2 0 2
1 2 2
2 1 1
2 2 0
1 1 1
2 1 2
10 9
0 2 3
0 1 2
1 2 0
0 3 1
0 3 3
0 2 1
3 0 0
1 3 2
3 0 3
3 2 3
10 8
0 1 1
1 0 0
1 0 1
1 1 1
2 0 0
2 1 1
0 0 1
0 2 2
2 2 1
0 1 2
10 9
0 2 2
1 2 2
1 1 0
1 0 0
0 0 0
0 0 1
2 1 1
1 2 0
2 2 1
0 2 1
10 7
0 1 1
2 2 0
1 0 1
0 1 2
2 0 1
1 0 0
0 0 0
2 0 2
1 2 1
1 1 2
10 4
2 2 1
0 2 0
1 2 0
0 0 2
0 2 1
0 0 1
2 2 0
2 0 2
0 2 2
2 1 2
10 2
1 3 0
2 2 3
0 2 1
1 0 0
3 3 3
1 2 0
1 3 1
1 1 0
0 2 2
3 1 3
10 8
1 2 3
3 0 2
1 3 1
0 1 3
3 2 3
1 0 2
3 1 2
1 2 1
1 0 1
2 1 2
10 7
3 0 3
0 2 0
0 2 1
1 2 0
0 1 2
3 2 0
1 1 2
3 1 0
3 1 3
0 0 2
10 7
2 1 1
2 0 0
0 2 0
2 2 0
0 0 1
1 0 1
0 1 1
2 1 0
0 2 1
0 1 2
10 7
1 2 2
2 2 1
1 1 2
2 1 2
0 2 0
0 0 1
1 2 0
1 0 1
0 2 1
2 2 2
10 5
2 2 1
0 2 3
2 1 0
2 3 2
3 3 3
2 1 1
3 1 2
0 3 1
1 3 2
3 0 1
10 6
1 3 1
0 3 3
3 3 3
0 2 2
2 3 1
1 2 3
2 2 1
3 1 3
3 1 1
0 2 3
10 2
1 2 1
0 2 2
0 1 1
0 0 2
1 0 0
2 2 1
0 0 0
1 1 1
2 1 0
2 0 0
10 9
3 3 1
3 0 1
0 3 3
1 2 3
2 2 3
0 2 1
1 1 1
0 1 1
0 0 3
1 0 1
10 4
0 0 1
2 2 0
1 2 2
2 2 1
1 0 2
2 1 2
1 2 0
2 1 1
2 0 0
1 0 1
10 7
3 3 0
0 3 1
0 1 1
3 3 2
3 2 2
3 1 0
3 0 2
1 0 0
3 3 3
2 2 2
10 9
2 0 0
2 3 2
1 1 1
0 1 1
0 0 3
2 1 1
0 1 0
1 0 2
0 0 0
3 1 0
10 9
1 1 1
0 1 1
2 0 0
0 1 0
1 2 2
2 1 1
2 2 1
0 2 2
2 0 1
1 2 1
10 7
2 1 2
1 0 0
0 0 1
0 1 1
1 0 2
0 0 2
2 1 1
0 2 0
0 2 1
2 0 1
10 6
2 2 2
2 1 2
1 2 1
1 1 2
1 0 1
1 1 0
1 1 1
2 2 0
0 0 0
2 0 1
10 7
1 0 2
1 0 1
1 1 1
0 2 1
1 1 0
0 1 2
2 0 2
0 2 2
1 2 0
2 1 1
10 5
0 3 1
3 2 0
2 3 3
0 1 1
2 1 3
0 3 2
1 2 3
3 1 2
0 2 3
2 2 1
10 7
0 1 2
2 2 0
1 0 2
1 2 1
2 1 2
1 0 0
2 0 2
1 1 2
0 2 1
1 0 1
10 6
2 2 0
0 0 2
1 2 2
1 0 1
2 0 0
1 0 2
0 0 1
1 1 1
2 1 0
1 2 0
10 6
0 2 2
2 0 2
3 2 0
1 0 2
2 3 1
3 3 3
0 1 1
3 2 3
2 3 3
0 2 1
10 5
2 0 0
1 2 2
0 2 1
2 0 2
0 0 2
0 0 1
0 2 2
1 1 0
1 1 1
0 1 0
10 3
0 2 0
2 0 1
1 1 1
0 1 0
2 2 0
0 0 1
1 2 1
2 0 0
1 1 0
0 1 1
10 6
0 1 2
0 0 0
1 1 1
1 0 0
2 0 0
0 2 2
1 2 0
2 1 0
1 2 2
0 0 2
10 7
0 2 1
3 2 2
3 0 1
2 1 2
2 3 1
0 3 0
1 3 3
3 2 1
1 2 3
2 1 0
10 7
0 2 2
1 1 1
1 2 2
0 2 0
1 2 0
0 0 1
2 0 2
0 1 1
0 0 0
2 1 1
10 4
2 1 2
0 2 3
1 2 0
2 0 1
2 1 3
3 3 1
3 3 2
2 3 1
3 3 0
2 0 3
10 4
2 1 1
2 1 2
1 1 0
1 2 2
0 0 0
2 2 1
2 0 2
2 2 0
0 0 2
0 1 2
10 5
0 2 3
1 3 1
1 0 1
3 2 1
0 3 3
3 2 3
3 0 3
0 0 3
0 1 3
3 2 0
10 3
2 1 2
2 3 0
2 3 1
1 1 2
3 2 2
0 3 2
2 0 2
3 3 3
1 2 3
3 0 1
10 8
2 0 0
2 0 3
1 1 1
2 1 0
2 3 3
1 2 1
2 1 3
0 0 3
3 2 0
3 2 3
10 6
2 0 3
0 0 3
0 3 2
0 1 1
3 0 0
2 1 3
1 1 2
1 0 3
2 1 0
2 0 2
10 5
2 2 2
3 1 3
3 2 0
0 1 2
3 2 2
1 0 3
1 2 3
1 3 3
3 3 2
3 1 1
10 6
1 1 1
1 0 1
0 2 0
2 2 2
1 2 2
0 2 1
2 0 0
2 2 1
0 0 0
2 0 2
10 4
1 0 2
2 2 2
1 1 1
0 1 0
0 2 0
0 1 2
2 1 3
3 3 3
1 3 2
0 1 1
10 6
2 3 0
2 1 0
3 2 3
0 3 0
2 2 1
1 2 2
2 2 2
2 1 2
3 3 2
1 3 0
10 8
0 0 1
1 1 1
2 1 1
2 2 1
0 2 1
0 1 2
1 0 1
2 0 1
1 2 2
2 2 2
10 4
3 3 2
0 1 3
1 3 0
3 2 0
2 1 3
0 1 2
2 0 0
2 2 1
2 3 1
2 3 0
10 8
1 0 1
1 0 0
1 1 2
0 2 2
2 1 1
0 1 1
2 1 2
0 2 0
1 0 2
2 0 2
10 4
2 0 0
1 1 1
0 0 2
1 0 1
0 2 2
1 1 2
0 1 1
0 2 0
2 2 2
0 1 2
10 5
1 0 1
2 0 0
2 1 1
2 0 2
1 2 0
1 1 0
1 2 2
2 2 1
2 2 2
2 1 0
10 8
0 2 1
2 0 2
0 1 1
0 2 2
0 1 2
2 1 2
2 2 0
1 0 1
1 0 2
2 0 1
10 4
0 2 2
1 2 1
0 1 2
2 0 1
0 1 0
1 0 2
1 1 1
2 2 1
0 2 1
2 2 0
10 3
1 2 0
2 2 1
1 1 0
1 2 1
0 2 2
2 2 2
2 1 2
2 1 0
0 1 2
0 0 2
10 9
1 0 1
1 1 1
0 0 3
2 3 2
3 1 0
1 1 2
3 3 2
0 2 1
1 0 3
1 1 0
10 9
2 1 1
0 1 2
0 2 1
1 0 2
2 1 0
1 2 2
1 2 0
2 2 1
1 1 1
1 1 0
10 2
0 2 1
0 2 2
1 0 1
0 0 0
2 0 2
0 0 1
1 1 1
1 1 0
0 2 0
1 2 1
10 4
1 2 2
0 2 1
2 0 2
0 0 1
1 1 2
2 2 2
1 1 0
0 1 1
2 0 1
1 2 1
10 7
1 2 2
1 0 1
2 0 2
2 1 0
0 2 0
0 1 1
0 1 2
2 1 2
2 2 2
0 1 0
10 7
2 0 1
0 0 0
0 2 2
0 2 1
0 1 1
2 0 2
2 0 0
2 2 0
2 2 2
1 2 0
10 6
1 2 1
1 0 1
2 0 0
0 2 0
2 2 0
0 0 0
0 0 1
2 1 0
1 1 2
0 2 1
10 8
1 1 0
2 1 2
1 2 2
0 0 0
0 1 1
1 0 2
2 1 1
0 2 0
1 0 1
0 0 1
10 9
1 1 0
2 1 0
1 2 2
1 1 1
2 0 0
2 0 1
0 1 1
1 2 1
0 0 0
0 0 1
10 7
0 1 2
1 0 1
2 1 1
1 0 0
0 1 1
2 1 2
0 2 2
1 2 0
2 2 2
1 1 2
10 4
1 2 2
2 2 1
1 1 1
1 0 0
0 2 2
2 1 2
2 1 0
2 2 2
0 0 1
1 2 0
10 2
2 1 1
1 1 1
0 2 2
0 1 1
0 1 0
0 0 0
0 0 1
2 0 1
1 2 1
2 2 0
10 6
2 1 2
1 2 1
1 1 1
2 2 2
0 2 1
0 1 2
0 1 1
0 0 0
2 0 0
0 0 2
10 8
0 0 2
2 1 2
0 1 2
2 2 1
2 2 2
0 0 0
2 0 0
0 2 0
1 1 2
1 2 2
10 6
1 1 2
0 0 2
0 2 1
0 1 1
0 1 0
2 1 1
0 2 0
1 0 1
1 2 2
2 0 2
10 7
1 3 0
1 2 2
1 3 1
2 2 3
2 0 0
1 1 0
1 2 3
0 0 2
3 2 0
2 0 2
10 3
1 0 1
2 1 2
1 0 0
0 0 2
0 0 1
2 2 0
0 0 0
0 2 0
2 1 0
2 2 2
10 4
3 3 2
1 0 0
1 2 2
3 3 3
2 3 3
0 0 1
1 2 0
3 2 1
2 1 2
2 1 0
10 5
3 2 3
2 3 3
3 1 2
3 0 1
2 2 0
2 2 1
2 0 0
0 2 1
0 1 3
3 1 1
10 4
0 0 2
2 2 0
2 0 2
0 1 2
0 0 0
2 0 0
2 2 1
1 1 0
2 1 1
2 2 2
10 6
2 2 2
2 0 1
2 1 2
1 0 0
0 0 0
2 0 2
0 0 2
0 2 0
2 2 1
0 2 1
10 2
0 2 1
1 1 0
0 0 1
1 1 2
2 1 1
1 0 0
0 0 2
2 1 2
0 1 1
0 0 0
10 5
2 1 2
1 1 2
0 2 1
2 1 1
1 1 1
1 2 0
2 0 2
2 2 2
2 1 0
2 0 1
10 5
0 0 2
2 3 2
2 2 1
0 0 0
2 1 0
1 1 1
3 1 3
0 3 1
1 2 1
0 2 3
10 2
1 2 1
2 1 1
2 1 2
0 1 1
0 1 2
1 2 2
0 2 1
1 0 0
2 1 0
1 1 1
10 5
0 1 2
0 2 2
2 0 2
1 2 2
2 0 0
0 1 0
1 2 1
1 1 0
1 1 2
1 0 1
10 9
1 1 2
0 1 0
2 1 0
2 2 1
1 2 2
0 0 0
0 2 0
2 1 2
2 0 1
1 1 1
10 2
1 0 0
1 0 2
3 3 3
0 1 0
1 0 3
0 2 0
1 1 2
3 2 2
2 3 2
0 3 2
10 4
2 1 1
2 1 2
0 2 2
1 0 1
1 1 2
0 2 0
2 0 2
2 2 0
1 0 0
0 0 2
10 8
1 3 0
2 3 2
2 2 3
3 0 3
0 1 1
0 3 2
1 0 1
1 2 2
2 0 3
3 2 2
10 6
2 1 1
0 2 2
0 0 0
0 2 1
2 0 0
2 2 0
2 2 1
0 0 2
1 1 2
1 0 2
10 6
0 3 2
2 0 1
0 1 0
0 1 2
0 2 2
3 2 3
0 3 1
0 3 0
2 2 3
3 3 3
10 4
3 0 0
3 1 3
3 2 2
1 2 3
2 1 1
2 3 1
2 2 1
0 3 3
2 0 1
0 2 3
10 9
0 2 2
2 2 2
2 1 2
0 1 2
2 0 2
2 0 0
1 2 2
0 0 2
0 2 0
1 1 0
10 3
1 1 2
0 2 0
2 1 1
0 0 2
2 2 0
2 0 0
1 1 1
0 0 1
0 1 2
1 0 2
10 7
2 0 0
0 2 0
0 2 1
2 2 1
0 0 1
1 2 2
1 0 2
1 2 0
0 1 0
0 1 2
10 3
0 1 0
0 2 0
0 0 2
0 1 1
1 0 0
1 0 1
2 1 0
2 1 2
0 2 2
0 1 2
10 4
3 2 1
1 2 2
2 1 1
1 2 1
1 0 3
3 0 1
0 0 0
2 2 3
0 1 0
2 0 2
10 6
0 2 1
2 1 0
1 1 2
1 0 2
2 0 0
1 1 1
2 2 1
1 2 0
1 2 1
0 1 2
10 6
3 3 0
1 0 3
2 0 1
0 0 0
3 1 1
1 2 2
2 3 1
0 1 1
2 2 2
3 0 3
10 6
3 3 1
1 1 3
3 3 0
2 3 1
3 1 0
0 2 3
2 2 3
2 0 3
1 0 2
0 1 2
10 4
0 0 2
0 0 1
0 2 2
0 0 0
2 2 0
1 0 1
2 2 2
1 1 2
1 2 1
2 1 2
10 6
1 0 2
1 2 0
0 0 1
1 2 1
1 2 2
2 1 2
2 0 0
2 0 1
1 0 1
2 1 1
10 4
2 2 0
1 0 1
0 2 2
2 0 0
2 1 1
0 2 1
2 2 2
0 1 2
2 2 1
0 2 0
10 5
0 1 2
0 2 2
2 1 0
0 2 0
1 2 2
1 1 1
2 0 0
0 0 1
2 0 2
1 2 1
10 5
2 1 1
2 1 2
1 2 0
2 1 0
1 0 0
1 2 2
1 0 1
0 2 0
0 0 0
2 2 1
10 7
0 3 1
0 2 0
2 2 3
0 0 2
1 0 0
3 0 2
1 1 2
0 0 1
1 2 2
3 2 1
10 2
3 2 1
1 0 3
0 3 0
2 2 1
3 2 3
1 1 2
3 0 2
1 3 1
3 1 2
2 2 0
10 2
2 2 2
1 2 0
0 1 1
1 1 2
2 1 1
1 0 1
2 0 2
1 2 2
1 0 0
0 1 2
10 7
1 2 0
2 3 0
1 0 2
3 3 2
1 3 1
3 0 1
3 1 0
0 1 2
2 3 3
1 1 0
10 7
0 1 0
2 0 1
0 1 1
1 0 1
1 0 0
2 2 2
0 2 2
1 2 1
1 1 1
2 1 0
10 5
1 1 1
1 3 2
3 3 1
3 2 0
2 3 2
1 2 3
1 1 3
2 2 0
1 3 1
0 1 1
10 7
2 2 1
0 0 0
2 0 2
0 1 2
1 1 1
0 0 2
0 2 2
2 0 0
2 2 0
1 0 0
10 2
1 1 3
0 3 3
1 2 3
1 0 3
2 1 3
3 3 3
1 0 2
1 3 0
0 1 1
0 0 1
10 8
2 1 2
1 2 0
2 2 2
2 1 1
1 0 1
1 1 1
2 0 2
0 2 2
2 0 0
1 2 1
10 8
0 2 3
3 3 0
2 1 3
2 2 2
0 3 0
0 1 3
1 3 1
1 3 2
0 2 2
2 2 3
10 5
2 0 0
0 2 0
0 2 1
1 0 0
2 1 2
0 0 0
2 2 0
0 0 2
1 1 2
2 0 1
10 5
2 1 0
0 0 2
2 1 1
2 2 1
1 0 2
2 2 0
1 0 0
0 0 0
0 1 1
0 2 2
10 3
0 1 1
0 2 0
2 0 2
1 1 1
2 1 2
1 1 2
0 1 2
1 2 2
2 2 2
0 0 2
10 8
2 0 1
0 0 0
2 2 0
0 2 1
0 1 0
2 1 1
0 2 0
2 0 0
0 1 1
1 2 0
10 6
2 1 0
1 0 1
1 2 1
0 1 2
1 1 1
2 1 2
0 1 0
1 1 0
1 2 2
2 2 0
10 5
2 0 2
1 0 0
0 1 0
1 1 1
1 0 2
2 2 2
0 0 2
2 1 0
2 2 0
1 1 2
10 6
1 2 0
1 0 0
0 2 1
1 2 1
2 2 1
0 1 1
1 0 1
2 1 2
2 2 0
1 1 2
10 6
2 2 3
0 0 1
1 1 2
1 0 3
2 3 0
0 3 2
1 3 2
2 1 3
1 2 2
0 1 0
10 4
2 0 0
0 0 0
0 2 2
0 1 0
1 0 2
1 1 2
1 0 0
0 2 0
2 2 0
2 1 0
10 8
0 0 2
0 1 1
2 1 1
0 0 0
2 2 0
2 0 1
2 1 2
2 0 2
0 1 2
2 2 1
10 7
2 0 3
0 0 2
3 2 1
0 1 3
0 2 0
1 0 0
0 3 3
2 3 1
3 3 3
2 0 2
10 2
1 0 2
1 2 2
1 2 0
1 1 2
0 1 0
2 2 0
0 2 1
2 1 2
2 0 2
2 0 1
10 2
2 0 0
0 1 1
0 0 0
1 0 1
2 2 1
0 2 2
1 1 1
1 0 2
2 0 2
1 2 2
10 8
1 3 0
3 3 3
3 3 0
3 1 1
2 3 3
2 1 1
2 1 2
1 1 3
2 3 0
0 1 3
10 4
1 2 1
2 2 2
0 1 2
2 1 0
2 1 2
0 2 1
2 2 1
0 1 0
0 2 0
0 0 1
10 7
0 0 2
3 2 1
3 3 1
0 3 3
0 0 1
3 1 3
3 1 2
1 2 0
3 0 1
1 1 2
10 7
1 0 2
2 0 2
2 0 0
2 2 1
2 1 2
1 1 2
2 1 0
1 0 1
0 2 1
0 2 2
10 3
2 2 2
0 3 1
1 2 1
3 3 3
0 0 3
3 3 0
1 2 0
0 0 1
0 1 2
3 1 2
10 9
0 2 1
2 0 0
1 1 0
2 0 1
0 0 0
2 0 2
2 2 0
2 2 2
2 1 1
2 1 2
10 4
1 1 1
2 0 1
2 2 0
0 0 1
0 1 2
1 0 1
1 1 2
2 1 1
2 1 0
2 0 2
10 7
1 3 1
3 3 3
2 3 1
3 1 2
2 1 2
1 1 1
1 2 3
1 1 2
3 3 1
2 0 1
10 6
2 1 2
0 3 0
0 3 1
0 2 0
0 1 3
1 1 1
1 1 3
2 2 1
3 1 2
2 3 3
10 6
1 2 2
0 1 1
0 0 2
2 2 1
2 1 2
0 2 2
1 0 1
2 0 1
1 1 1
1 0 2
10 7
2 1 3
3 3 1
1 2 2
0 3 3
2 1 1
3 3 0
0 0 1
1 3 0
3 0 3
2 2 1
10 9
0 1 0
3 2 0
2 1 1
0 0 2
1 1 1
1 0 2
2 0 0
0 0 0
0 2 2
3 1 0
10 6
3 1 0
0 2 1
0 3 3
1 0 2
2 1 1
3 3 3
0 1 3
1 1 1
3 2 0
0 1 2
10 3
2 2 1
0 2 1
1 0 1
1 2 1
0 2 0
2 1 2
0 1 0
1 1 0
0 0 0
0 1 1
10 9
3 2 3
2 0 3
2 3 3
2 3 2
3 0 2
0 2 2
0 0 2
3 2 1
2 1 3
0 0 0
10 2
1 1 0
1 0 2
0 2 1
2 2 0
2 2 2
0 1 1
1 1 1
0 0 0
0 1 0
1 2 2
10 4
2 0 0
0 1 0
2 1 0
1 1 1
2 0 1
2 2 2
0 2 0
1 2 1
0 2 2
2 2 0
10 2
0 2 2
2 2 0
0 2 1
2 0 2
2 0 1
1 0 0
2 2 2
2 2 1
0 0 1
1 2 1
10 4
3 2 1
2 3 1
0 3 2
1 1 1
0 3 0
0 1 1
2 2 2
1 2 0
0 2 0
0 2 2
10 6
2 1 3
3 3 1
3 1 1
2 1 0
0 3 3
0 1 3
2 3 3
2 0 3
2 1 2
2 2 0
10 5
0 3 0
2 3 0
3 2 1
2 2 1
3 3 1
0 1 0
1 1 3
1 2 1
2 2 3
1 0 3
10 7
0 1 1
3 3 2
1 3 2
2 1 1
3 1 1
0 3 2
0 2 1
1 3 1
1 0 1
3 1 0
10 3
1 2 2
0 2 2
0 3 1
2 3 1
2 2 3
1 0 0
2 1 1
3 0 3
2 2 2
3 1 3
10 9
1 3 0
3 3 1
1 1 2
1 3 1
0 3 1
1 2 3
1 1 1
2 3 3
0 3 3
2 1 3
10 8
2 1 2
2 3 3
1 0 3
1 1 0
1 3 0
1 1 2
1 2 0
2 1 3
0 1 0
3 1 1
10 5
2 2 2
0 1 2
0 0 1
1 1 0
1 1 1
1 2 2
2 2 1
2 0 2
0 2 1
0 0 0
10 2
0 3 3
2 2 0
2 2 1
3 2 1
0 0 3
0 1 1
1 3 1
1 0 0
3 1 1
2 0 0
10 7
0 2 1
0 0 2
1 1 0
2 0 2
1 2 2
1 1 2
2 0 0
0 1 0
2 2 1
2 0 1
10 6
3 1 2
3 3 0
2 0 2
0 2 3
1 3 1
3 2 3
2 1 0
2 2 0
2 2 2
1 2 3
10 3
0 1 2
1 2 1
1 1 2
1 0 0
0 1 0
1 2 2
2 2 1
0 2 1
2 2 2
0 2 2
10 4
2 0 2
0 1 2
1 1 2
1 2 2
1 3 3
1 2 3
2 1 0
3 2 0
1 2 1
2 2 0
10 3
0 0 2
2 2 0
0 2 0
2 2 1
1 2 1
1 2 0
1 0 0
1 2 2
0 2 1
1 1 0
10 8
0 2 3
0 1 0
2 2 3
0 1 1
0 0 3
3 0 1
0 1 2
1 2 1
2 0 0
3 2 2
10 3
1 2 3
3 1 3
0 3 1
2 3 1
1 3 3
3 1 2
2 1 0
1 0 0
3 1 0
3 1 1
10 4
1 2 1
0 0 0
2 1 0
2 1 1
1 2 2
2 1 2
1 1 0
1 1 2
1 0 0
1 2 0
10 5
3 3 3
2 0 2
3 0 0
3 0 1
2 2 1
1 3 1
3 1 2
1 2 3
3 1 3
1 3 2
10 9
2 2 1
1 2 0
2 1 0
1 1 2
2 0 2
0 1 2
1 0 1
2 1 1
2 0 0
2 0 1
10 5
0 3 1
2 3 3
3 2 0
3 2 3
1 2 1
1 0 2
1 0 0
3 0 3
1 2 0
3 1 0
10 3
2 0 0
1 0 1
2 1 0
1 1 1
2 2 1
1 0 2
0 1 0
1 1 2
0 0 0
0 2 1
10 7
2 1 1
0 1 1
0 2 2
2 0 2
2 2 1
0 2 1
1 2 0
0 0 1
2 2 2
2 0 0
10 4
2 1 2
1 2 0
0 0 1
1 2 2
2 2 0
1 0 2
2 1 0
2 1 1
2 2 1
1 1 2
10 5
1 2 2
2 0 0
0 2 1
2 2 0
2 2 2
2 1 2
1 1 1
2 0 2
0 1 0
1 2 0
10 8
3 0 1
0 0 1
3 1 3
1 3 3
3 2 0
2 1 3
2 3 1
1 0 0
2 2 0
1 1 3
10 3
1 0 2
1 1 2
1 2 2
1 2 0
2 1 1
2 2 0
0 2 1
2 1 2
0 0 1
0 2 2
10 2
1 2 2
2 1 3
2 3 1
3 0 3
3 0 0
1 3 0
1 3 2
2 3 3
3 2 3
2 3 2
10 6
0 1 2
0 0 3
2 0 3
2 2 0
3 0 2
2 3 1
0 3 2
1 2 1
1 2 0
1 0 0
10 3
1 0 0
1 0 1
3 0 0
1 3 1
0 2 0
2 2 2
1 0 3
0 0 1
3 2 0
2 0 1
10 3
3 0 0
0 3 0
1 3 3
3 0 2
1 3 0
0 1 2
0 0 3
0 2 1
0 1 0
1 1 3
10 4
0 1 1
2 2 0
0 2 0
1 1 2
1 0 1
2 1 1
0 0 0
2 2 1
0 1 2
1 2 2
10 4
2 2 2
2 1 1
3 2 3
0 2 2
1 2 2
2 0 3
1 1 3
3 0 3
3 3 3
0 1 1
10 7
0 0 1
0 2 2
1 2 1
0 1 2
2 1 1
2 0 2
1 0 2
1 1 0
0 2 0
1 2 0
10 9
2 2 1
0 1 0
1 2 2
1 0 2
1 1 1
1 2 0
2 1 1
2 1 2
1 1 0
1 1 2
10 5
1 2 0
2 1 2
0 2 0
1 0 0
2 2 2
2 0 1
2 0 0
1 1 1
0 0 1
2 2 1
10 3
0 2 0
2 1 2
3 1 2
2 2 3
3 0 1
3 0 0
2 0 1
3 2 1
1 1 0
0 3 1
10 4
2 2 1
1 2 0
1 0 0
2 2 2
2 2 0
2 1 0
2 0 2
1 2 1
1 1 2
0 1 1
10 4
0 1 0
0 2 2
1 0 1
2 1 0
0 2 0
1 1 0
2 0 1
2 2 2
2 1 1
0 0 1
10 3
1 0 1
1 0 0
2 2 1
1 2 1
0 0 0
0 1 2
2 1 1
2 0 2
0 0 2
0 2 2
10 2
2 2 0
2 1 1
0 2 0
0 0 2
0 1 0
1 2 0
0 1 1
1 2 1
2 1 0
2 1 2
10 4
2 2 2
2 3 0
1 2 2
0 1 1
2 0 2
0 1 2
3 3 3
1 1 2
2 3 2
0 3 1
10 9
1 0 0
2 1 2
0 1 2
1 2 2
2 2 1
0 2 2
2 0 2
0 0 0
1 1 2
0 2 0
10 9
3 1 2
2 2 1
1 0 1
1 3 0
1 1 1
0 1 0
1 2 1
0 2 3
0 3 3
0 0 2
10 9
2 1 0
3 1 0
2 2 0
0 1 1
3 1 3
3 2 3
2 0 1
0 0 1
2 3 0
2 0 0
10 7
2 0 2
2 2 1
2 1 1
1 2 3
0 2 3
1 0 3
2 2 3
3 0 1
2 0 0
3 0 3
10 6
2 1 2
0 1 2
0 1 1
2 1 0
2 0 1
0 0 1
2 2 1
2 0 2
0 1 0
1 1 0
10 7
0 3 2
2 3 1
0 2 0
0 3 3
1 3 0
2 3 2
0 1 3
1 1 1
1 0 2
3 3 1
10 8
0 2 2
2 1 1
0 0 0
2 0 0
2 2 2
2 2 0
1 1 2
0 1 2
2 0 2
2 0 1
10 5
0 2 2
1 2 0
1 2 1
0 1 1
1 0 1
2 1 2
2 2 2
2 2 0
1 0 2
2 1 0
10 4
3 3 3
1 1 2
2 2 2
3 1 2
2 1 3
2 3 2
1 3 0
0 3 3
2 1 2
3 0 1
10 4
2 2 1
2 1 0
1 2 2
0 0 2
0 1 2
2 2 2
0 2 0
1 1 0
1 2 1
1 2 0
10 5
1 2 3
3 0 3
3 2 0
1 0 0
3 0 1
0 2 0
2 1 3
0 3 2
0 1 0
1 2 1
10 9
2 2 0
2 1 1
0 1 0
1 1 1
1 0 2
0 1 2
1 1 0
2 1 2
0 2 1
1 1 2
10 8
1 2 1
1 0 2
1 0 1
1 1 1
1 2 0
0 1 1
2 1 0
2 2 2
0 0 0
0 2 2
10 2
1 3 0
2 1 1
1 2 2
0 1 1
2 3 2
1 1 2
3 1 2
3 3 3
3 3 0
1 0 2
10 8
0 1 2
0 0 3
2 3 1
0 2 3
1 1 1
2 0 1
1 3 1
1 0 0
2 0 0
1 2 1
10 9
3 1 0
1 2 2
1 0 1
1 0 2
0 0 1
2 3 3
1 0 3
0 0 0
3 3 1
3 2 0
10 9
0 1 1
2 1 0
0 0 1
1 2 0
2 0 0
2 0 2
2 1 2
0 0 2
2 0 1
1 1 1
10 4
1 1 1
1 1 2
1 0 0
0 1 0
1 2 1
1 2 2
1 0 2
0 2 1
0 1 1
1 1 0
10 9
3 3 1
2 0 3
1 1 1
0 0 1
0 0 2
0 1 1
2 2 0
0 2 0
3 3 2
2 2 2
10 3
0 3 3
2 3 1
0 1 1
1 0 3
1 1 2
3 1 1
3 1 2
2 2 1
1 2 2
0 0 0
10 6
2 2 2
1 2 0
0 0 2
1 1 1
0 2 0
1 2 2
0 1 0
0 2 2
0 0 1
1 1 0
10 6
1 3 0
1 2 0
1 0 0
0 2 1
0 0 1
1 3 2
3 2 2
3 0 0
0 2 0
2 3 2
10 5
1 2 2
2 2 2
2 2 1
2 0 1
2 1 2
1 1 0
1 1 1
0 0 2
1 2 0
1 2 1
10 5
2 2 3
1 1 0
3 1 0
1 3 2
3 2 1
0 0 0
1 0 3
1 0 0
1 0 1
2 3 0
10 6
0 1 0
2 1 1
2 2 1
2 1 2
1 1 2
1 0 2
0 0 2
2 2 2
0 1 2
2 2 0
10 5
3 2 3
3 1 3
0 2 1
2 3 3
2 0 0
1 0 1
2 1 0
1 1 3
2 1 1
0 3 0
10 5
3 1 0
1 1 1
1 3 0
3 0 0
0 1 0
0 3 0
3 3 0
2 0 0
1 0 3
2 3 3
10 8
2 0 0
0 2 2
1 0 1
2 1 0
1 1 0
0 1 2
1 1 1
0 1 1
1 2 0
2 2 2
10 5
2 3 1
1 3 2
2 2 0
1 2 3
2 2 1
3 3 3
3 2 3
2 1 3
0 1 0
2 3 3
10 5
2 3 1
2 1 3
3 2 1
1 2 2
0 1 1
3 1 3
2 1 0
3 2 3
1 3 0
0 1 2
10 5
1 0 0
1 1 2
0 2 2
2 2 0
2 0 0
2 2 2
0 0 1
0 2 1
1 2 1
2 2 1
10 5
0 0 0
2 1 0
0 0 2
0 0 1
1 1 1
1 2 2
1 2 1
1 0 0
2 0 1
2 2 1
10 2
1 0 0
1 2 2
1 2 0
1 1 1
2 1 1
1 1 2
2 0 0
2 2 2
1 0 1
0 0 2
10 7
2 0 3
0 1 3
2 0 0
1 2 2
3 2 1
3 0 2
0 2 0
2 0 2
3 2 3
1 2 1
10 9
2 2 2
0 1 2
1 1 2
1 2 0
1 0 0
2 1 0
1 1 1
1 2 2
1 0 2
0 1 0
10 9
2 1 0
0 1 2
3 2 3
1 2 1
3 3 3
1 2 3
2 3 0
2 2 1
0 0 3
1 0 3
10 8
2 2 1
2 1 1
0 2 2
0 1 1
2 0 0
1 2 1
1 0 1
1 1 1
0 0 1
2 1 2
10 6
1 2 0
3 0 0
1 0 3
0 2 0
3 3 1
3 1 2
2 1 0
0 2 3
2 2 3
1 0 2
10 3
1 0 0
0 0 1
0 2 0
1 1 1
1 1 0
2 0 0
0 1 0
0 0 0
0 1 1
1 2 1
10 9
0 2 3
0 3 2
3 2 2
2 3 1
3 2 1
3 2 0
2 3 0
1 0 3
3 1 1
2 0 3
10 5
1 1 0
1 2 3
0 0 2
1 3 3
0 0 1
0 1 3
2 3 0
3 2 3
3 0 0
2 0 1
10 9
0 2 2
1 0 0
0 1 2
1 2 0
2 2 0
1 2 2
2 1 1
0 1 0
2 0 1
2 1 0
10 8
0 1 0
0 1 1
1 1 1
1 0 2
1 0 1
2 2 2
1 0 0
2 1 2
2 0 2
0 2 2
10 6
1 2 0
3 3 0
0 0 3
1 2 1
2 2 1
2 0 2
3 1 3
2 0 1
3 0 0
3 2 0
10 9
2 2 1
2 1 1
0 1 0
2 1 0
2 2 0
0 1 1
0 2 0
2 2 2
1 0 0
1 2 1
10 8
1 2 2
0 2 0
0 1 1
2 2 2
2 2 1
2 1 1
0 1 2
0 0 1
2 0 0
1 1 0
10 2
2 0 2
0 0 0
1 1 2
1 0 1
1 1 0
0 1 1
0 1 0
2 2 1
1 2 1
1 0 0
10 9
0 3 2
2 0 1
3 3 3
1 1 3
0 0 0
1 1 1
2 2 2
1 2 1
0 2 0
3 3 2
10 7
3 0 0
1 1 2
3 0 2
1 1 0
2 2 0
3 3 0
2 0 3
0 0 2
1 3 0
2 3 0
10 8
2 2 0
1 2 0
0 1 2
0 0 0
1 2 1
2 1 1
0 0 1
2 2 2
2 1 2
0 2 0
10 7
1 0 0
2 0 2
2 2 1
0 2 1
0 0 0
0 1 2
0 1 0
0 1 1
1 0 2
2 1 0
10 3
2 3 1
2 1 3
3 3 3
2 2 1
0 1 3
0 1 1
2 3 2
2 1 0
0 1 2
1 1 0
10 6
2 1 0
0 0 1
2 2 0
0 1 2
2 2 1
2 0 1
2 1 2
2 0 0
2 1 1
0 0 0
10 4
2 0 2
1 0 2
0 0 1
0 2 2
0 1 3
0 1 2
3 0 1
3 2 0
2 0 1
3 0 2
10 6
2 1 0
3 0 0
0 3 2
1 2 3
1 0 2
0 2 3
0 1 1
0 1 3
0 0 2
1 0 3
10 3
0 2 1
1 3 2
0 1 3
3 3 2
1 2 1
3 0 0
2 3 2
0 0 2
0 2 2
1 1 1
10 4
2 2 1
1 2 2
0 2 2
1 0 0
0 3 0
2 0 3
1 2 3
3 2 1
2 1 0
0 1 0
10 9
3 0 1
0 3 3
3 0 0
1 2 0
0 3 0
3 3 3
1 0 2
1 2 3
3 2 3
1 0 1
10 9
2 3 3
0 2 3
3 0 3
1 2 3
2 2 1
0 0 1
1 2 1
2 2 3
1 2 2
1 3 2
10 7
0 1 2
2 1 2
2 2 1
2 0 2
1 1 1
1 2 2
0 1 1
1 0 2
1 2 1
1 1 2
10 4
2 1 2
3 2 1
0 0 0
1 3 0
3 1 1
0 2 1
2 0 1
2 3 1
3 3 1
2 2 1
10 8
0 3 0
0 0 2
1 3 2
0 2 3
1 0 2
2 0 2
1 1 1
2 1 1
0 2 0
1 0 0
10 4
1 0 0
2 2 0
1 1 0
0 1 0
2 0 0
0 2 1
0 2 2
1 2 2
2 1 1
2 2 1
10 9
2 2 0
3 0 2
1 2 1
1 2 0
2 1 1
3 2 0
3 2 1
2 2 2
3 3 3
2 1 3
10 3
0 3 1
1 1 2
3 3 3
0 2 0
2 0 3
0 1 2
2 3 3
3 0 1
1 0 3
3 0 0
10 2
1 2 1
2 1 1
2 0 0
2 0 1
2 0 2
2 1 2
0 0 2
2 2 2
0 2 0
1 1 2
10 6
0 1 2
0 0 2
2 2 1
0 2 0
1 2 0
0 2 2
1 2 2
1 2 1
2 1 0
2 1 1
10 8
2 1 0
0 2 0
0 2 1
0 1 0
1 2 2
1 1 2
0 0 1
2 1 1
1 0 2
0 2 2
10 4
2 1 0
0 2 0
0 0 2
0 1 2
2 0 2
1 2 1
0 1 0
0 0 1
1 2 2
2 0 0
10 9
2 2 1
1 0 0
0 1 2
0 0 1
0 2 1
1 1 2
2 2 2
2 2 0
1 2 1
0 2 2
10 3
1 0 0
1 1 2
2 1 2
2 0 0
1 0 2
2 1 0
0 0 0
2 2 0
1 2 1
0 1 2
10 3
2 0 0
1 0 0
2 2 2
0 0 2
0 2 1
3 2 2
3 2 0
0 3 1
0 0 1
1 3 2
10 8
0 0 2
3 2 0
3 3 1
0 1 0
2 1 3
2 3 3
2 0 2
1 3 3
3 2 3
3 1 3
10 4
1 2 3
2 3 0
0 0 1
3 0 3
0 2 0
1 3 2
0 2 3
3 0 2
0 2 2
1 0 3
10 8
0 0 1
3 0 0
2 3 0
1 3 0
2 1 2
1 3 2
0 1 3
2 0 0
2 0 3
0 3 3
10 2
1 0 1
0 1 0
0 2 1
1 0 0
2 2 3
3 3 3
2 1 2
0 1 2
0 0 3
3 0 0
10 5
1 2 1
0 2 0
2 1 2
2 0 1
1 0 2
2 0 0
0 1 0
1 1 2
1 2 2
0 0 2
10 7
1 1 2
1 2 3
0 0 3
0 2 3
3 2 3
1 0 3
2 2 0
0 1 1
3 0 0
2 2 1
10 6
0 0 2
0 3 3
2 2 0
2 3 0
3 3 0
2 1 2
1 0 1
3 0 0
0 1 2
1 2 0
10 4
0 2 0
2 2 2
2 1 0
1 1 1
0 1 2
1 2 1
1 1 2
2 2 1
0 1 0
0 2 1
10 4
3 0 0
3 3 0
0 0 3
2 2 3
3 1 2
1 1 2
3 1 0
0 1 3
3 2 2
2 0 1
10 2
0 2 1
0 1 2
1 0 1
1 1 1
2 1 2
0 0 1
1 1 0
2 2 0
2 1 0
0 2 2
10 3
1 2 3
2 3 3
0 0 2
0 3 2
1 2 2
3 3 1
0 0 1
3 3 2
2 0 3
0 2 0
10 3
1 1 0
2 0 0
2 1 1
0 0 2
1 2 0
2 2 0
2 0 2
0 2 0
0 0 1
1 2 1
10 7
2 1 1
1 3 3
3 3 2
0 1 1
1 1 1
0 2 0
1 2 0
3 2 3
3 1 1
3 3 0
10 9
3 0 0
2 2 0
2 1 0
1 1 0
3 1 0
3 3 3
1 3 3
3 3 1
3 0 2
3 1 2
10 4
2 0 0
2 2 3
2 2 2
0 2 2
1 2 0
3 0 0
0 1 3
2 1 2
3 3 2
3 0 1
10 9
1 2 2
0 2 3
1 3 3
3 2 2
1 1 3
0 1 0
2 2 0
0 3 1
3 0 0
3 0 2
10 9
1 1 2
3 0 2
1 3 3
1 3 0
2 0 3
2 0 2
1 1 1
3 1 2
1 1 0
1 0 3
10 9
2 0 2
0 1 0
1 1 2
2 1 3
1 2 0
3 0 3
2 2 3
0 0 0
2 3 2
3 2 0
10 5
2 0 2
2 3 1
1 3 0
3 3 2
2 3 2
3 3 3
1 0 3
3 0 2
0 2 0
2 1 0
10 3
3 2 3
0 1 2
2 3 0
1 1 0
1 1 3
2 2 2
2 1 1
1 2 3
1 0 0
2 3 2
10 2
1 0 3
1 1 3
2 0 3
1 3 3
2 3 2
1 3 2
0 1 2
0 1 3
2 3 1
2 3 0
10 2
0 2 0
3 2 3
2 2 3
0 0 3
2 3 1
3 3 1
0 1 0
1 1 2
1 3 3
3 0 3
10 9
1 0 0
3 3 2
2 0 3
3 2 3
3 0 1
0 0 2
1 3 1
3 1 1
3 2 2
2 2 2
10 7
0 1 0
1 0 0
1 2 0
2 1 1
0 0 1
1 1 2
0 1 2
2 2 0
0 1 1
2 1 0
10 6
2 2 0
1 0 0
1 0 2
1 0 1
2 0 2
0 2 1
1 2 0
0 0 0
0 1 1
0 0 2
10 2
0 1 1
1 0 3
2 0 0
2 0 2
0 2 0
0 1 2
0 2 2
1 0 0
1 3 0
1 1 0
10 7
0 3 2
2 1 3
1 0 1
2 3 2
0 2 0
0 0 0
3 3 0
2 1 0
1 3 2
1 1 2
10 3
1 2 0
2 0 2
2 0 1
1 0 2
2 0 0
1 2 1
2 2 0
0 0 2
0 2 1
1 0 0
10 9
3 0 2
0 1 1
2 1 1
2 0 1
3 1 0
2 0 3
1 2 0
2 0 2
0 3 1
0 3 3
10 8
2 0 3
0 2 3
1 3 0
3 1 2
0 0 0
2 2 3
3 0 2
3 0 0
2 2 1
2 3 2
10 4
3 0 2
1 0 0
1 3 0
1 1 3
1 2 0
1 3 2
0 0 1
0 1 0
3 1 1
0 1 3
10 8
2 2 0
2 0 2
2 2 1
0 0 1
1 2 0
1 0 2
2 1 0
0 1 2
0 0 0
1 2 1
10 5
0 1 0
1 0 2
0 0 1
0 2 0
2 2 0
1 2 2
2 0 0
0 2 1
2 1 0
0 1 1
10 9
0 2 1
2 2 2
1 0 1
0 0 2
2 0 1
0 0 1
2 1 0
2 0 0
1 1 0
0 1 2
10 9
3 1 0
2 3 1
3 0 1
0 2 2
2 1 0
1 2 1
2 1 2
3 2 3
0 3 0
2 1 1
10 5
1 1 0
0 2 0
2 0 0
0 1 1
0 2 2
1 2 2
2 2 1
0 1 2
1 2 0
2 0 1
10 8
2 2 1
2 2 2
0 2 2
1 1 2
1 1 0
2 0 0
2 0 1
2 1 1
0 0 0
0 0 1
10 9
0 1 2
0 2 1
1 2 2
1 0 0
2 0 1
0 1 0
0 0 1
2 1 1
2 1 2
2 1 0
10 5
2 0 3
1 3 1
1 1 0
1 2 2
3 3 2
2 3 1
3 3 0
3 0 0
3 0 1
0 1 3
10 7
2 3 0
1 0 1
1 0 2
2 2 1
3 3 1
2 1 3
2 0 1
0 1 1
0 1 2
2 1 1
10 6
0 1 2
2 1 2
0 1 1
1 2 1
0 0 1
1 1 1
2 2 2
0 0 0
1 1 0
2 2 0
10 5
1 3 3
2 1 2
2 2 1
1 2 2
3 3 3
0 1 1
1 1 3
3 1 1
0 1 3
3 1 3
10 5
2 0 2
1 0 0
0 2 2
1 2 0
1 1 0
2 1 1
2 1 2
2 0 1
0 1 2
1 2 1
10 3
1 3 1
0 1 1
1 0 1
1 2 2
0 1 2
3 1 2
2 2 1
0 3 3
1 2 0
0 0 2
10 5
1 1 2
2 0 2
2 2 0
1 2 1
0 1 0
1 0 1
2 2 2
2 1 1
1 2 2
0 1 2
10 6
0 0 2
1 1 0
1 3 3
2 1 1
3 2 1
2 3 0
3 0 1
0 1 1
1 0 2
3 1 1
10 6
2 0 2
3 3 3
1 0 2
0 2 1
2 3 3
0 3 2
1 2 1
3 3 2
0 1 3
3 1 1
10 2
2 0 0
0 0 0
2 2 1
1 2 0
1 0 2
2 0 2
1 0 1
2 2 0
2 1 2
1 1 0
10 4
1 2 0
0 0 1
1 2 2
0 1 0
2 1 1
1 1 1
2 0 1
2 0 0
1 0 0
0 1 1
10 8
1 0 1
1 2 2
2 2 2
2 2 1
0 1 2
0 1 0
1 0 0
0 2 1
1 2 1
2 2 0
10 5
3 0 3
1 1 2
3 1 1
0 3 1
0 0 3
2 0 2
1 3 2
1 0 2
2 3 3
2 2 2
10 8
3 3 0
3 3 1
3 3 2
0 2 0
0 1 3
3 1 1
0 1 0
3 0 2
2 0 1
3 1 3
10 9
2 0 1
0 1 0
2 1 0
2 1 2
1 2 0
2 2 2
0 2 1
1 0 0
0 1 2
2 1 1
10 7
3 1 1
2 0 0
0 0 2
0 2 1
0 1 2
0 1 1
0 0 0
1 0 3
3 3 0
1 1 1
10 7
2 2 0
0 2 2
1 2 3
2 0 1
1 3 0
1 0 2
3 3 2
3 3 0
3 2 0
2 3 1
10 5
0 1 1
0 0 0
2 1 0
1 1 1
2 1 1
1 0 2
2 0 2
1 2 0
0 2 0
2 2 0
10 7
2 2 3
2 0 0
3 3 3
3 0 2
2 1 3
1 1 3
0 2 1
2 1 2
3 0 1
3 2 0
10 3
2 0 0
3 0 1
2 1 3
2 0 2
2 2 1
1 0 3
3 1 1
0 0 3
2 3 0
0 2 1
10 4
1 2 2
1 0 2
0 0 2
2 0 1
0 2 0
1 2 1
2 1 0
2 0 2
2 1 2
0 1 0
10 2
0 0 2
0 2 1
0 1 2
1 1 1
0 0 0
2 0 2
1 2 0
1 0 1
2 0 0
2 2 2
10 8
0 2 0
2 0 0
2 0 2
2 2 2
0 2 2
1 2 1
0 0 1
2 0 1
0 1 0
1 1 1
10 6
2 1 2
3 2 0
1 2 3
3 3 3
3 2 1
2 1 3
3 0 2
3 0 1
3 3 0
1 2 2
10 9
2 0 3
3 3 2
0 3 1
2 1 3
3 2 0
1 2 1
2 1 1
0 3 2
0 1 1
2 3 2
10 2
2 2 0
3 1 2
0 1 2
3 1 1
2 3 1
1 3 1
0 0 0
2 1 3
3 1 3
0 0 2
10 4
1 0 1
0 0 0
1 0 0
2 2 1
0 2 0
0 1 1
2 0 1
2 2 2
2 1 0
1 0 2
10 5
2 1 0
2 2 1
2 2 2
0 1 0
1 2 2
0 1 2
0 0 2
1 1 2
2 1 1
1 0 2
10 2
1 3 0
1 1 1
2 1 3
2 3 1
0 1 1
0 3 0
0 0 0
0 0 1
1 2 2
2 1 0
10 5
2 0 0
1 2 0
1 1 2
2 1 1
0 1 2
0 0 0
1 1 0
0 0 2
0 2 2
1 2 2
10 7
3 0 2
0 1 1
0 2 0
3 0 1
2 1 1
0 0 2
2 2 3
2 1 0
2 0 2
0 1 3
10 3
0 3 3
2 3 3
3 2 2
0 0 2
3 0 1
3 1 2
0 3 2
0 1 2
2 3 2
1 3 0
10 5
0 2 2
0 3 2
3 1 3
2 0 0
2 3 0
2 0 1
0 2 3
2 1 1
0 1 3
1 1 1
10 4
1 3 2
2 2 1
0 0 3
1 1 0
2 2 2
0 3 2
0 2 2
2 3 0
2 0 3
0 3 0
10 7
2 2 0
2 0 0
0 0 2
0 2 0
1 1 2
1 1 1
1 0 1
2 1 2
2 2 1
1 2 1
10 8
1 0 0
1 1 3
2 3 3
3 2 2
0 2 1
3 1 1
0 1 1
3 0 3
3 0 0
0 1 0
10 3
3 1 1
2 1 3
0 3 1
3 3 0
3 2 0
3 0 0
1 3 0
2 1 0
2 3 0
2 0 0
10 5
2 0 0
1 1 0
2 1 1
0 0 2
2 1 2
2 2 1
1 0 2
0 2 1
0 2 0
1 2 1
10 6
2 0 1
1 1 2
1 0 2
0 0 1
0 1 0
1 0 0
1 2 0
0 1 1
1 2 2
2 2 1
10 2
1 0 0
2 1 3
1 2 1
3 1 1
3 1 3
3 2 1
0 1 3
3 0 0
0 3 2
3 0 3
10 5
1 2 0
3 0 0
3 1 1
1 0 2
0 0 3
0 1 0
3 3 0
1 1 0
1 2 1
1 3 3
10 2
2 3 0
1 2 3
1 0 0
0 0 0
2 0 0
3 3 2
0 1 1
2 2 2
0 0 1
2 0 1
10 5
3 2 1
1 2 3
1 0 3
1 1 3
3 3 1
0 3 1
2 2 2
3 0 3
3 3 3
3 0 1
10 2
0 2 0
1 0 3
1 2 0
1 1 2
2 0 0
0 3 2
3 1 1
3 1 3
0 0 0
0 3 3
10 2
2 1 2
2 1 0
1 2 2
2 2 2
2 2 1
0 1 0
1 0 0
2 1 1
0 0 2
0 2 1
10 4
0 1 2
0 0 0
1 1 1
2 1 2
1 2 1
1 1 0
2 0 1
0 2 1
2 0 0
1 0 2
10 9
2 0 2
1 2 1
0 0 1
0 2 2
1 1 1
0 1 0
2 2 0
1 2 2
2 1 1
1 0 2
10 6
2 3 2
0 0 1
3 2 2
2 1 3
3 2 0
2 3 3
0 1 1
2 0 0
2 2 2
0 0 3
10 5
2 0 3
3 1 0
0 0 0
3 0 1
0 3 0
1 1 2
1 2 1
2 2 2
3 0 2
0 2 0
10 9
1 1 2
0 1 1
2 0 3
0 1 3
2 2 1
0 2 1
3 1 0
0 2 2
1 2 2
1 1 1
10 7
2 2 2
0 0 2
0 0 1
1 1 2
2 0 0
0 1 2
0 1 1
1 0 0
0 2 2
2 2 1
10 8
1 2 3
0 0 0
3 1 0
2 0 3
2 1 3
2 1 1
1 2 1
0 1 1
3 3 0
2 3 0
10 2
2 0 2
0 1 1
0 0 1
1 0 0
1 1 1
2 1 2
1 0 2
2 2 0
0 2 2
0 0 2
10 9
1 0 3
0 0 3
1 2 2
1 1 1
0 2 0
0 2 3
0 1 1
2 2 2
3 0 1
1 0 0
10 7
1 2 1
2 0 1
2 2 3
2 2 0
1 3 3
3 1 0
2 1 3
0 2 1
2 3 0
0 0 0
10 3
0 2 0
3 3 1
1 3 0
1 1 1
0 1 0
2 2 2
3 1 1
2 1 3
3 3 2
1 3 1
10 6
0 1 2
2 1 2
2 0 0
1 2 1
1 1 0
1 1 2
2 2 2
1 2 2
0 0 2
1 0 2
10 4
2 1 2
1 0 0
2 0 0
2 0 1
0 0 1
2 1 1
2 0 2
0 2 2
1 2 0
1 2 2
10 5
0 2 2
0 0 0
2 2 1
3 0 1
1 2 1
2 3 2
3 3 2
2 0 0
2 2 2
1 2 3
10 5
0 1 0
3 3 3
1 0 2
0 3 1
2 0 1
3 2 3
3 1 0
2 2 1
1 2 2
1 0 1
10 2
1 1 1
2 1 0
0 1 2
2 1 1
2 2 2
1 1 2
2 0 0
1 0 0
0 0 1
0 2 2
10 8
1 3 0
0 2 3
2 1 0
3 0 1
3 3 3
2 2 2
0 2 1
0 0 0
3 2 3
2 2 3
10 5
0 1 1
1 0 0
2 2 0
0 2 1
2 1 0
2 1 2
1 2 1
1 0 1
0 0 2
2 0 2
10 2
1 1 2
2 3 0
0 2 3
2 1 3
1 0 3
2 3 2
2 3 3
3 1 1
3 0 1
2 1 1
10 6
0 1 1
1 0 0
1 1 1
2 0 2
0 1 0
0 0 2
2 2 2
0 2 0
0 0 1
1 1 2
10 4
0 3 0
2 1 3
1 1 0
1 2 3
3 0 0
3 1 0
2 3 1
1 3 1
3 2 0
3 2 3
10 3
0 2 2
0 0 2
2 1 2
0 0 1
0 1 2
1 1 0
1 2 0
2 0 1
0 1 0
2 2 2
10 6
3 1 1
2 1 3
0 0 0
3 0 1
0 2 2
0 1 2
0 2 3
2 0 0
0 1 3
1 0 2
10 7
0 2 2
0 0 0
1 1 3
2 1 0
3 1 3
2 0 2
2 3 1
1 2 3
3 2 2
1 2 1
10 6
1 1 1
0 1 1
1 1 2
0 1 0
0 2 2
1 1 0
0 0 2
2 2 1
2 2 2
1 2 2
10 2
2 1 0
2 0 2
3 3 2
1 1 0
0 3 1
2 0 1
0 3 3
2 1 2
1 1 3
3 0 1
10 8
2 0 2
0 0 0
1 2 1
2 1 2
1 0 1
1 0 2
1 2 2
2 2 1
2 0 1
2 1 1
10 7
2 1 2
0 0 2
0 0 0
2 3 2
1 0 2
1 2 2
2 3 0
0 2 2
1 2 1
1 3 3
10 9
2 2 0
2 1 1
2 2 1
0 0 2
2 2 2
0 2 0
0 2 2
0 0 1
1 0 1
1 0 2
10 3
1 2 0
1 3 2
3 0 2
2 0 3
1 2 2
2 0 1
0 3 1
3 0 3
1 0 3
0 3 2
10 4
2 3 1
3 2 1
0 3 3
1 2 2
3 3 1
1 0 0
2 2 2
1 3 3
1 1 0
2 0 0
10 8
1 2 0
1 1 0
0 1 2
0 2 2
0 0 2
0 0 0
1 0 2
2 2 0
2 2 2
2 1 1
10 7
1 3 0
1 0 3
2 2 2
0 3 0
3 0 0
1 1 1
3 1 2
0 2 2
2 1 0
2 2 3
10 3
3 1 0
2 3 2
1 3 0
2 3 1
3 2 0
2 3 3
1 1 0
3 3 3
3 3 0
1 2 2
10 4
1 1 2
0 2 1
1 1 1
2 2 1
2 0 2
2 2 2
2 2 0
0 0 1
1 2 0
0 2 2
10 9
0 0 0
2 2 2
0 1 0
0 1 1
1 0 2
2 0 2
0 2 2
1 2 1
2 0 1
1 1 2
10 3
3 2 0
3 1 1
3 2 1
2 0 2
1 3 1
0 2 0
2 2 1
1 2 3
1 2 0
3 3 0
10 4
0 2 0
2 0 2
1 1 1
2 1 0
2 0 0
1 2 1
0 1 2
0 0 1
0 0 2
1 1 2
10 6
0 0 2
1 1 2
1 2 1
1 1 1
0 2 2
2 1 0
2 0 0
2 2 1
0 1 2
1 0 1
10 7
2 1 0
2 2 1
0 2 2
2 0 2
1 1 2
0 0 1
0 2 1
1 1 0
1 0 0
2 1 1
10 6
2 1 0
1 2 1
0 1 2
2 1 1
1 1 1
0 1 0
1 0 0
2 0 2
0 2 0
0 0 2
10 9
0 1 1
2 1 0
1 0 1
0 2 1
2 0 1
2 2 1
0 0 1
0 2 2
2 2 2
1 1 2
10 9
1 0 2
1 1 1
2 0 1
1 0 0
0 1 2
1 2 1
2 1 2
2 2 0
1 2 2
0 2 2
10 3
2 0 0
2 2 1
2 2 0
1 0 2
1 1 2
0 1 0
1 2 1
2 1 0
0 2 1
1 0 1
10 3
2 1 2
1 1 3
0 1 1
0 0 0
2 2 1
0 2 0
3 0 0
3 3 1
1 2 0
3 2 1
10 2
2 2 0
1 0 1
0 2 3
1 3 2
0 2 0
1 1 2
3 2 1
3 3 3
1 2 0
0 3 1
10 2
2 2 1
2 1 2
3 3 0
1 1 2
1 0 1
2 1 1
3 3 2
1 0 3
1 2 2
1 3 0
10 2
0 1 1
0 1 0
1 0 0
1 1 0
0 1 2
0 2 2
2 2 0
1 1 2
2 1 1
2 2 1
10 3
0 2 0
2 0 2
1 0 1
1 1 0
1 2 0
1 0 2
1 1 1
2 0 0
0 0 0
2 1 2
10 9
2 1 3
0 3 1
0 0 2
2 2 1
1 0 0
1 2 0
0 1 0
0 2 0
3 2 1
1 0 3
10 5
1 2 1
2 0 2
0 0 2
2 2 2
1 1 1
1 0 2
0 0 1
2 2 0
1 0 0
2 1 1
10 7
0 3 1
0 2 3
2 0 3
1 1 1
2 2 2
2 3 2
1 1 2
1 2 2
1 0 0
0 2 0
10 4
2 3 1
3 2 2
3 2 1
0 1 0
1 0 2
0 3 3
0 1 1
1 1 3
0 2 0
2 0 2
10 4
0 0 2
3 2 2
2 2 1
3 2 1
0 3 2
3 2 0
2 2 0
0 2 0
1 1 1
0 0 3
10 7
2 1 1
0 1 0
1 1 0
1 0 0
0 1 1
1 2 1
1 1 2
2 2 0
1 0 2
1 0 1
10 8
2 0 0
1 0 1
2 0 1
0 0 0
1 0 2
0 0 1
2 1 0
1 1 2
2 1 2
1 1 1
10 3
0 1 0
0 2 3
0 0 2
3 0 2
2 0 0
0 0 0
2 1 2
0 3 1
1 2 2
2 0 1
10 9
2 2 2
2 2 0
1 0 2
2 0 1
0 2 1
1 2 0
0 0 1
2 0 0
0 2 0
1 1 2
10 2
2 1 2
0 1 1
0 1 0
0 2 1
1 1 0
0 1 2
0 2 2
2 0 0
2 2 2
1 0 1
10 3
0 1 2
0 2 2
0 0 1
1 1 0
2 0 2
2 2 2
2 0 1
1 1 1
0 0 2
1 0 1
10 8
0 0 0
0 3 3
1 3 1
2 0 0
2 3 3
3 3 2
2 1 3
0 3 2
0 0 2
0 1 2
10 9
0 2 1
1 1 2
1 2 2
1 2 0
0 0 2
2 0 1
1 1 1
2 0 2
1 2 1
0 1 0
10 9
2 2 3
0 0 1
2 2 0
3 1 0
2 1 0
1 3 1
1 2 2
1 1 0
3 1 1
1 0 1
10 2
1 3 1
2 1 3
1 3 0
0 1 2
2 1 0
2 3 1
2 0 0
0 0 3
0 2 1
3 0 3
10 9
0 1 2
1 1 2
1 2 1
1 0 0
1 1 0
0 2 2
1 2 2
0 0 2
0 1 1
2 0 1
10 8
3 0 1
1 2 3
1 0 3
3 2 2
2 2 3
2 3 2
1 1 3
2 2 2
1 2 1
3 0 3
10 2
0 0 1
3 2 2
3 2 1
2 0 3
3 3 1
1 0 2
0 2 2
2 3 3
1 3 3
3 1 0
10 2
1 2 0
0 2 1
2 0 1
0 2 0
2 0 2
0 0 0
2 1 0
1 1 0
1 1 1
2 1 2
10 6
0 1 0
0 2 0
2 0 1
2 0 0
1 0 1
1 0 2
1 2 2
0 1 2
1 1 1
0 2 2
10 3
1 1 0
2 1 2
0 1 0
2 1 1
2 1 0
0 2 2
1 2 0
0 0 2
1 1 1
2 2 2
10 6
0 2 2
1 2 1
0 0 1
1 1 0
2 0 1
2 1 0
1 0 0
1 2 2
2 2 0
1 0 2
10 8
2 1 0
1 1 2
0 0 2
2 1 2
0 1 2
0 0 1
2 2 2
1 0 2
1 0 0
0 2 1
10 2
0 2 1
2 2 2
1 1 0
2 0 1
1 2 2
2 2 1
0 1 0
0 0 0
1 0 1
0 2 2
10 7
0 2 0
2 1 2
2 3 0
1 1 2
0 1 0
2 2 2
1 1 3
1 2 0
0 2 2
3 1 1
10 6
1 2 1
2 2 1
0 0 1
0 1 2
1 2 2
2 1 1
2 1 0
2 2 0
1 0 1
1 1 2
10 5
2 1 0
0 1 2
3 1 3
0 0 1
3 0 1
1 2 1
2 1 3
2 2 3
0 0 0
3 2 1
10 4
3 0 3
3 1 2
0 2 0
2 0 0
3 0 2
3 3 3
0 3 3
0 0 0
1 1 1
0 0 3
10 2
2 2 1
1 0 1
0 2 2
0 0 0
2 1 1
1 1 0
1 2 2
1 0 2
0 1 2
0 0 1
10 2
2 0 1
0 0 1
0 2 2
1 1 1
2 2 0
2 0 0
0 1 1
1 1 0
0 0 2
0 0 0
10 9
2 1 3
0 2 0
2 2 0
3 3 3
3 2 1
1 0 2
0 1 3
0 2 2
1 2 0
1 3 2
10 4
1 0 0
1 2 3
3 3 3
2 2 2
1 1 3
0 0 0
3 0 0
2 0 0
0 2 1
2 3 1
10 5
2 2 2
1 1 0
2 2 0
0 0 1
2 0 0
1 0 2
0 0 0
0 0 2
2 2 1
1 1 1
10 3
3 2 0
1 2 3
2 1 1
0 1 0
2 1 2
0 1 3
0 1 2
0 2 3
2 1 3
1 2 1
10 3
1 0 0
1 0 2
2 1 1
0 1 0
1 1 2
0 1 1
0 0 1
2 2 2
0 2 2
0 0 2
10 6
2 1 0
1 0 0
0 2 3
3 3 0
1 0 2
0 0 2
0 1 1
0 3 1
2 3 0
0 3 2
10 5
2 0 1
3 1 2
1 0 1
2 1 1
0 1 2
0 3 1
0 2 1
2 2 0
2 2 2
1 3 0
10 6
1 0 1
0 0 1
1 2 2
2 1 2
0 1 1
1 2 0
0 2 2
0 1 0
2 0 2
1 0 0
10 9
3 3 3
0 0 0
2 1 1
1 1 2
0 1 2
2 3 0
1 3 2
0 3 0
1 2 3
2 2 3
10 7
1 3 2
3 0 2
2 1 0
0 2 2
3 1 1
2 1 2
0 2 3
0 2 1
1 0 1
0 1 2
10 3
1 3 1
0 3 0
3 2 3
2 0 3
0 2 2
0 0 2
0 2 1
3 1 1
1 2 0
2 2 1
10 4
1 2 0
0 0 2
2 2 2
1 0 2
0 0 1
0 2 1
1 0 0
1 1 0
2 0 0
1 1 1
10 3
3 3 3
1 0 2
1 2 2
1 3 3
3 3 1
0 2 1
0 1 0
2 2 0
2 1 1
1 1 2
10 7
1 3 2
0 0 1
3 3 1
1 2 0
1 1 2
2 1 0
2 2 1
3 3 3
1 0 2
2 1 3
10 2
0 1 0
2 0 2
0 2 0
0 0 2
0 2 1
1 1 0
2 1 2
2 2 1
2 1 1
0 2 2
10 3
0 1 0
1 2 1
2 1 1
3 2 1
1 3 3
0 1 1
0 3 1
1 0 1
1 2 2
3 2 0
10 6
1 0 0
0 2 2
2 2 1
2 1 2
1 0 1
1 1 0
1 1 1
1 1 2
0 1 0
2 1 0
10 5
0 2 1
2 1 2
0 2 2
2 0 2
1 2 0
2 2 2
2 1 1
2 1 0
1 1 0
0 0 1
10 2
1 2 1
3 2 3
0 1 2
1 3 1
0 1 0
1 1 3
0 3 0
0 0 0
3 0 2
2 3 2
10 4
3 2 0
3 3 1
3 3 2
2 3 1
3 1 1
2 0 1
3 0 0
2 2 0
0 0 3
2 3 0
10 8
0 2 2
0 2 1
0 2 0
0 0 0
2 0 1
0 0 2
1 2 0
2 2 1
2 0 0
2 0 2
10 5
0 0 0
2 2 1
2 2 0
1 2 1
0 2 2
2 1 1
0 1 2
2 0 2
1 1 1
1 1 2
10 4
0 0 0
1 1 2
1 0 1
2 0 1
2 2 2
2 0 0
1 0 2
1 1 1
2 2 1
2 1 0
10 7
0 1 1
1 0 0
2 1 1
2 1 3
0 1 2
3 2 2
2 2 1
3 0 0
3 0 2
2 3 0
10 3
1 1 0
0 1 1
1 0 0
2 1 2
2 0 2
2 1 1
1 2 2
2 0 0
2 2 0
1 2 0
10 7
2 0 2
3 3 2
0 0 0
0 2 2
1 3 0
2 0 0
0 3 3
2 2 2
2 3 2
3 3 1
10 7
1 2 0
2 0 0
2 2 1
1 0 0
1 2 1
0 2 2
1 0 2
2 2 2
1 2 2
1 1 1
10 9
1 0 3
1 0 2
3 1 3
1 3 1
2 3 3
1 2 0
0 3 1
3 1 0
0 3 3
1 3 0
10 7
0 3 0
2 2 3
0 2 3
1 1 2
0 2 0
3 3 2
2 2 2
0 0 2
3 2 1
2 3 2
10 3
2 2 1
2 1 2
2 1 1
0 1 0
1 0 0
0 2 2
0 1 2
1 2 1
2 2 2
0 2 0
10 2
0 0 1
2 2 2
1 1 2
1 1 0
2 1 2
2 1 0
0 1 2
0 0 0
1 0 2
1 0 0
10 5
1 3 0
3 2 2
0 2 2
2 0 3
2 1 3
2 0 1
0 0 2
1 2 1
3 0 0
3 0 2
10 3
0 0 0
0 0 1
1 2 1
0 1 1
2 0 0
0 2 0
0 2 1
0 2 2
2 1 2
2 0 2
10 6
2 0 1
2 2 3
0 3 3
3 3 0
1 3 1
0 3 2
2 2 1
0 2 1
3 1 3
3 2 1
10 8
2 1 1
0 1 2
2 2 0
2 2 2
2 0 0
1 1 1
0 0 0
2 0 2
0 0 2
1 1 2
10 8
3 3 2
1 1 3
3 1 0
2 1 1
1 2 0
0 3 1
2 3 0
0 2 2
3 1 3
2 0 3
10 4
0 1 1
2 0 2
0 0 1
2 2 2
2 2 0
2 2 1
1 1 0
2 0 0
0 2 1
1 2 0
10 7
0 1 0
0 1 1
0 0 1
1 2 1
1 2 0
0 1 2
2 1 1
0 2 2
1 0 1
2 2 1
10 2
0 0 1
3 2 3
3 3 0
2 0 1
1 2 3
3 0 0
0 2 0
0 1 2
2 3 3
1 3 0
10 9
1 2 2
3 3 2
1 3 0
1 0 1
3 0 2
2 1 3
0 0 2
1 1 3
0 3 2
1 0 2
10 2
3 1 1
1 2 1
0 2 0
0 1 1
0 2 2
1 1 2
2 0 0
2 1 2
3 1 0
2 2 0
10 4
0 2 2
3 1 3
2 2 3
2 3 0
1 3 0
3 0 2
1 1 2
0 0 1
1 3 2
1 2 0
10 8
2 1 0
0 1 2
2 0 0
1 0 1
0 2 2
1 1 0
0 2 0
2 2 2
2 1 1
2 0 1
10 5
0 1 1
2 0 2
0 0 2
1 0 2
2 0 0
2 2 2
0 0 1
0 0 0
1 1 2
2 1 1
10 5
2 2 1
2 1 0
0 0 2
1 0 0
0 0 0
1 0 2
1 2 0
1 2 2
2 1 1
0 2 2
10 8
2 2 0
0 2 2
0 0 2
1 2 1
2 1 2
0 1 2
0 1 1
2 1 1
2 0 0
0 2 1
10 9
3 3 1
2 1 2
0 1 1
2 3 2
0 0 0
1 3 3
3 1 0
0 3 0
2 0 1
1 2 1
10 8
1 0 0
0 2 2
2 1 0
1 2 0
1 1 2
0 2 0
2 2 1
2 2 0
0 1 2
1 0 1
10 8
0 1 2
2 0 0
1 0 0
0 2 1
2 1 1
1 0 1
1 2 1
1 1 2
2 0 2
0 0 1
10 6
2 1 2
0 0 0
1 2 1
2 2 2
0 2 0
1 0 1
1 0 0
2 1 1
0 2 2
2 0 0
10 9
3 1 0
2 1 0
2 1 2
3 0 1
2 0 3
3 2 3
2 1 3
1 3 3
1 1 2
0 2 3
10 3
1 1 0
2 3 2
0 2 0
2 1 2
1 1 2
0 1 0
1 1 1
3 2 3
3 0 1
3 1 0
10 5
0 2 3
3 2 1
1 3 0
2 1 1
3 0 1
0 2 2
3 0 3
2 2 3
3 3 2
0 3 3
10 3
2 0 2
0 0 0
2 0 0
1 1 2
2 2 2
2 1 0
0 0 1
0 1 2
2 2 0
1 2 1
10 3
1 1 1
1 0 1
2 1 2
2 2 0
2 2 2
0 0 0
0 1 1
0 2 1
2 1 1
1 0 2
10 4
3 1 1
3 2 3
0 1 2
2 0 3
3 3 0
0 2 1
1 1 3
0 1 0
3 1 2
3 3 1
10 5
0 0 2
3 2 0
1 1 0
2 0 1
2 1 1
0 2 1
2 0 2
0 1 2
3 3 2
2 0 0
10 8
0 0 2
2 0 0
0 2 0
2 1 1
2 2 0
2 2 2
2 1 0
0 1 2
0 1 0
1 0 2
10 5
0 0 1
1 1 2
2 1 2
2 2 2
2 1 0
0 2 1
0 0 2
2 2 1
1 1 1
0 2 0
10 2
2 0 2
1 1 1
0 0 1
2 1 0
2 2 1
2 0 0
0 2 0
0 2 2
0 1 2
1 1 0
10 9
1 2 0
0 0 1
2 1 2
2 1 1
2 2 1
1 1 2
0 2 2
2 0 2
0 1 1
2 2 0
10 3
0 2 1
2 0 1
0 2 2
0 0 2
2 0 2
1 1 1
0 2 0
0 1 2
1 1 0
0 0 0
10 2
0 0 0
0 0 1
2 0 2
2 3 3
1 0 1
1 2 3
0 1 0
2 1 0
0 2 3
0 3 3
10 8
2 1 1
1 2 1
1 1 2
0 0 1
2 2 1
2 2 0
2 0 2
1 0 0
0 1 2
0 1 0
10 4
2 1 3
3 0 0
1 2 1
0 3 2
2 0 0
3 2 3
3 1 0
1 0 2
1 0 3
2 2 3
10 3
3 0 0
0 2 3
2 3 1
1 0 1
0 0 0
3 2 0
0 1 3
0 3 1
0 1 2
2 2 1
10 4
2 2 1
1 1 1
2 0 1
2 1 0
2 1 1
2 1 2
1 2 2
1 0 1
0 0 1
0 1 1
10 2
2 2 3
0 3 3
1 2 3
1 2 2
0 0 2
3 1 1
2 3 0
0 3 0
1 0 1
1 1 2
10 3
2 1 0
2 0 1
0 0 0
0 0 2
2 0 2
1 0 1
1 2 2
0 2 0
0 1 1
1 1 2
10 5
1 1 0
2 0 2
1 0 0
0 1 2
0 0 0
2 1 0
2 2 0
0 2 1
2 1 1
1 2 2
10 4
1 3 3
1 0 1
1 2 3
3 1 0
3 2 2
0 2 3
3 0 0
1 3 2
2 3 0
2 3 1
10 8
2 1 2
0 2 0
1 2 0
2 2 1
0 2 1
1 1 2
0 1 0
0 1 2
2 0 2
2 2 0
10 5
3 3 1
0 2 3
2 3 0
3 0 2
0 0 2
1 0 2
3 2 0
1 3 3
3 1 2
0 0 3
10 8
3 2 3
3 2 1
0 0 0
2 1 2
2 1 0
0 3 0
2 0 2
1 3 0
0 3 1
0 1 2
10 4
1 1 1
0 2 1
2 1 0
2 0 1
2 1 2
0 2 0
2 0 0
1 2 0
1 2 2
1 1 2
10 3
2 0 2
1 2 3
0 0 3
3 2 3
0 3 3
0 0 0
1 1 3
1 2 0
3 0 1
2 3 0
10 2
3 3 1
0 0 0
2 2 1
2 3 1
2 2 2
1 2 1
3 0 3
1 3 1
3 1 0
0 3 1
10 3
2 1 2
0 0 2
1 2 1
0 0 1
1 2 2
2 2 1
1 0 0
0 1 0
0 2 2
0 1 1
10 2
2 2 3
0 2 0
3 3 3
1 2 0
3 0 2
2 3 3
2 3 0
2 0 2
2 1 3
2 1 0
10 6
2 0 1
1 1 2
2 1 2
2 1 1
1 0 0
0 0 1
0 2 2
0 0 0
2 2 2
0 2 1
10 9
0 2 3
1 2 0
0 0 1
0 0 2
2 3 0
1 3 1
2 1 0
2 2 2
0 3 3
3 2 2
10 2
2 1 2
2 1 0
1 0 0
1 2 2
1 0 2
0 0 0
0 1 2
1 1 0
2 1 1
1 2 0
10 5
2 2 1
1 0 2
0 1 2
2 1 1
0 2 1
0 0 1
2 1 0
2 0 1
2 2 2
1 1 0
10 2
2 3 2
3 2 3
1 2 0
1 0 3
3 0 0
1 1 1
0 1 2
3 1 2
3 3 2
3 0 2
10 7
0 1 0
2 3 1
0 3 2
0 3 3
3 2 2
0 0 3
2 2 0
3 0 1
3 2 1
1 3 2
10 7
0 0 1
1 1 0
0 1 1
1 2 0
1 1 2
0 2 0
2 2 0
2 0 0
0 1 2
0 2 1
10 3
3 1 1
0 0 2
1 3 2
3 3 1
0 3 3
2 1 2
2 1 3
2 3 1
2 2 2
3 0 2
10 6
1 0 2
2 1 1
2 1 3
0 2 1
3 0 2
3 2 2
0 1 3
0 1 0
1 2 2
0 3 3
10 9
1 0 1
0 2 0
0 2 2
1 2 0
0 1 2
0 0 2
2 2 0
0 2 1
0 1 1
0 1 0
10 8
1 0 1
1 2 0
3 2 0
3 0 3
0 2 2
2 0 1
2 3 3
0 1 0
1 3 2
0 0 2
10 4
1 3 0
0 2 1
3 3 2
1 0 3
3 0 0
1 3 3
0 0 3
2 1 1
0 0 2
2 1 3
10 8
1 1 0
0 0 0
2 2 1
1 2 2
1 1 1
0 2 0
2 0 1
1 0 2
0 1 0
2 0 2
10 5
2 1 3
0 1 2
2 3 2
3 0 1
0 2 1
3 1 0
1 0 0
3 3 2
3 2 3
1 2 1
10 9
2 0 2
1 1 0
2 0 0
3 0 2
0 3 3
0 0 3
2 3 1
2 0 1
2 3 2
2 1 2
10 8
2 0 1
2 0 2
2 2 0
0 0 0
1 1 2
0 2 0
1 1 1
0 2 2
0 0 1
2 2 1
10 2
0 2 1
2 2 0
2 2 2
0 2 2
2 1 1
0 0 2
1 0 2
2 0 0
0 1 1
0 2 0
10 4
2 2 2
0 1 1
1 2 2
0 0 1
2 1 0
2 2 0
1 0 1
1 0 0
0 2 1
2 2 1
10 2
2 1 2
2 2 0
0 0 1
2 1 0
0 1 1
0 1 2
0 2 0
0 2 2
1 2 1
2 1 1
10 8
1 1 0
0 1 0
1 2 1
1 0 1
1 0 0
1 1 1
0 2 0
0 1 2
0 0 0
2 2 1
10 4
1 2 1
2 1 0
0 2 2
2 2 1
2 1 1
0 1 2
0 0 0
1 1 0
0 2 1
1 1 2
10 3
0 2 0
0 2 2
2 2 0
2 0 1
0 0 0
2 0 0
1 1 0
0 0 1
0 1 0
1 0 0
10 6
1 0 2
0 0 1
2 1 1
1 2 2
0 1 2
1 2 1
0 2 0
1 2 0
0 1 0
1 0 0
10 6
0 1 0
1 0 2
0 2 1
0 0 1
0 0 0
2 1 2
2 0 1
1 0 1
1 0 0
0 2 0
10 6
0 1 1
0 1 0
2 0 0
0 2 1
2 1 2
2 0 1
1 0 1
0 1 2
2 0 2
1 1 2
10 2
1 0 3
2 2 1
2 1 0
2 3 0
3 3 2
0 3 2
2 1 3
3 3 0
3 3 1
2 0 0
10 6
2 3 1
0 2 3
1 3 2
0 1 2
0 3 2
3 2 2
3 3 3
3 0 3
0 0 2
0 2 1
10 7
0 1 0
1 0 3
0 3 3
0 1 2
3 1 0
1 1 0
3 0 1
1 0 2
3 3 3
2 1 3
10 6
0 0 0
2 2 0
2 0 1
2 0 2
1 2 0
2 0 0
0 0 2
0 1 0
1 0 2
1 1 2
10 2
3 1 0
3 0 1
3 3 1
2 0 3
1 2 2
2 3 2
3 3 2
3 0 3
1 0 3
3 2 0
10 4
2 3 3
3 2 1
3 0 2
1 2 2
0 3 3
2 1 0
3 3 1
0 0 3
2 2 1
3 0 1
10 4
2 3 1
1 1 0
3 2 1
0 0 2
0 1 3
3 1 3
3 3 0
2 2 3
3 1 1
2 0 0
10 3
2 0 0
0 2 0
1 1 2
2 1 1
1 2 0
2 0 1
2 1 0
0 2 1
0 0 0
0 2 2
10 4
2 0 0
1 0 1
2 1 3
3 0 2
1 2 0
0 3 1
3 3 3
1 3 1
2 0 2
0 1 0
10 4
0 1 0
2 0 2
2 3 3
1 0 2
1 0 3
3 2 2
0 1 2
3 0 0
1 2 3
1 2 0
10 5
1 3 0
0 0 3
1 2 1
2 2 0
0 0 1
2 0 2
3 1 1
2 2 1
3 3 2
0 3 0
10 7
2 3 2
1 2 1
3 2 1
2 3 0
2 2 1
1 2 0
3 1 3
0 2 3
1 0 0
0 3 0
10 5
2 2 1
0 0 2
2 1 0
0 0 1
1 0 1
2 0 2
0 1 2
0 2 1
0 1 1
0 2 2
10 2
0 1 3
2 1 1
3 3 2
3 1 3
2 0 2
1 0 3
1 1 3
0 2 1
1 2 3
2 1 2
10 3
2 0 0
0 1 0
1 2 1
2 0 2
2 1 2
2 2 1
1 1 0
0 2 1
1 0 1
1 2 2
10 9
1 2 0
1 1 1
0 1 1
1 3 2
3 2 0
1 2 2
0 1 2
0 3 0
3 1 1
2 1 0
10 9
2 3 1
3 2 1
0 2 2
1 2 3
3 2 0
3 0 2
0 0 3
0 3 0
1 3 3
0 2 3
10 5
0 2 1
1 1 1
0 1 1
2 2 1
1 0 2
0 0 2
2 1 0
1 0 1
1 2 2
2 0 0
10 9
0 2 2
0 2 0
1 2 0
0 1 0
2 0 1
1 0 2
2 1 2
2 0 2
2 1 0
1 2 1
10 3
0 2 1
1 1 1
2 0 1
0 1 1
2 2 0
2 2 2
0 2 0
2 1 2
2 1 0
1 0 1
10 7
1 1 0
1 1 1
1 2 2
3 2 3
0 2 0
0 1 2
3 1 2
3 0 3
1 0 0
1 1 3
10 2
2 0 0
1 1 1
2 0 1
1 1 2
0 3 2
3 0 1
1 3 2
1 0 1
1 3 1
0 3 3
10 3
2 3 1
2 1 3
3 3 3
1 2 3
2 1 0
0 2 3
3 1 0
1 3 1
1 0 0
1 0 1
10 2
0 2 0
2 1 1
2 0 3
1 0 0
2 1 3
3 2 3
0 2 1
2 2 1
2 2 0
1 3 2
10 5
1 0 0
0 0 1
2 2 0
2 1 1
2 0 0
0 2 0
0 1 0
2 2 2
1 1 0
1 2 1
10 7
1 0 1
1 2 1
1 2 2
0 0 0
1 0 2
2 2 2
1 1 0
1 1 2
2 2 1
1 2 0
10 2
1 1 2
0 1 0
0 0 2
0 1 2
1 2 0
2 2 2
1 1 0
0 0 1
0 2 0
0 0 0
10 2
2 1 0
0 1 1
3 3 3
1 2 3
1 1 0
1 0 1
2 2 2
0 0 2
3 1 3
3 2 2
10 6
3 1 3
3 3 3
1 0 3
2 1 2
0 3 0
0 2 1
0 0 2
3 1 0
0 2 0
2 1 0
10 2
1 0 0
0 2 0
1 0 2
2 3 2
3 2 2
0 2 3
3 2 1
0 1 1
3 3 3
0 1 2
10 9
0 1 0
1 0 2
0 0 1
2 0 1
2 2 1
1 2 2
1 2 1
0 2 1
0 0 2
2 2 2
10 7
0 1 3
3 2 0
1 2 1
2 0 2
2 2 1
1 3 1
2 3 2
0 3 0
3 2 2
0 0 0
10 7
3 3 0
1 3 3
3 2 3
3 2 2
2 1 1
1 0 0
2 1 0
3 2 0
0 1 3
3 1 0
10 4
0 1 0
3 2 1
3 3 1
2 0 2
2 1 3
2 2 2
0 0 1
0 1 3
1 3 2
0 3 3
10 7
3 2 0
3 0 0
2 2 3
0 2 2
2 3 2
0 3 3
0 1 1
3 3 3
0 0 3
1 1 1
10 4
0 2 1
2 1 2
3 2 3
3 0 2
2 0 3
0 1 0
2 3 0
3 1 3
2 1 0
1 0 3
10 2
0 0 1
2 1 2
1 1 2
2 0 1
2 2 2
1 2 2
0 0 0
0 1 2
1 0 2
0 2 0
10 5
2 0 2
3 1 0
0 0 3
2 3 1
3 0 0
1 0 0
1 0 2
0 0 0
3 3 0
0 3 3
10 3
0 2 2
1 1 0
2 0 1
2 1 1
1 1 1
2 1 0
0 0 0
1 2 0
0 2 0
0 1 1
10 2
1 0 1
0 0 0
0 1 3
3 2 0
2 2 1
1 1 1
2 3 1
2 0 2
1 1 2
3 3 3
10 3
2 3 1
2 3 0
1 2 1
3 0 0
2 2 1
1 3 0
1 1 3
1 1 1
2 1 1
0 2 1
10 7
0 1 2
0 0 1
2 2 1
2 2 0
0 2 2
2 1 1
2 2 2
0 2 0
1 2 1
1 2 2
10 8
0 2 3
0 3 2
2 3 0
2 0 0
0 1 0
1 1 1
3 2 2
0 0 3
0 3 0
3 1 1
10 8
1 0 3
0 3 2
2 1 0
1 2 1
2 3 1
3 3 1
3 2 2
3 0 0
1 3 1
0 1 2
10 4
0 0 2
3 1 1
2 0 3
1 2 0
1 1 1
3 3 0
1 1 2
0 3 1
0 3 3
2 0 1
10 2
0 1 2
1 0 2
0 2 2
0 2 0
2 2 2
0 0 0
1 0 1
2 2 0
1 2 1
2 0 0
10 8
3 3 1
1 1 1
1 0 0
2 3 2
3 2 0
1 3 0
0 1 0
2 0 2
3 3 3
2 3 1
10 4
1 1 0
1 1 2
1 2 0
2 0 1
0 0 1
2 1 2
2 0 2
2 1 0
2 0 0
0 1 0
10 5
0 1 1
0 0 0
0 3 2
1 2 0
1 1 2
1 3 3
1 0 0
0 1 0
2 2 2
3 0 0
10 9
0 2 2
2 0 0
1 2 0
2 2 0
1 2 1
0 0 1
2 0 1
1 0 0
0 0 0
1 2 2
10 6
1 1 2
1 0 0
1 2 2
0 0 2
0 1 1
1 0 2
1 2 0
0 2 2
1 1 0
1 0 1
10 4
3 1 1
2 1 2
3 3 3
0 1 2
3 1 2
1 3 3
0 2 3
3 0 0
1 3 1
3 0 2
10 8
0 1 2
2 0 0
1 2 2
1 1 1
0 2 1
0 1 1
2 2 2
2 1 0
1 2 0
0 0 2
10 3
1 0 0
2 3 3
3 3 1
1 1 2
3 0 0
1 3 0
2 2 1
1 2 0
1 1 1
2 0 2
10 6
2 1 1
0 1 0
1 1 2
0 2 2
1 1 0
0 0 2
1 2 2
2 0 1
2 1 0
0 1 2
10 7
0 3 1
3 2 0
2 0 3
0 2 2
2 1 2
0 2 1
1 1 1
2 3 2
3 0 0
1 3 0
10 6
1 0 2
1 2 0
2 1 0
0 2 1
1 2 2
2 2 2
1 1 1
1 2 1
1 0 1
1 1 0
10 7
1 0 2
0 1 1
0 0 1
1 2 2
0 0 0
0 2 2
1 1 1
0 2 1
2 2 0
1 1 2
10 2
2 0 0
0 1 1
1 0 0
0 2 0
2 2 0
0 2 2
1 1 1
2 1 1
2 2 2
2 2 1
10 5
0 3 0
2 1 2
0 0 2
3 1 2
1 0 0
2 3 1
2 2 0
1 0 3
1 0 2
3 1 3
10 2
2 0 2
1 0 1
0 1 0
0 2 1
1 2 0
1 0 0
2 1 1
0 1 1
2 2 2
0 0 2
10 7
3 0 3
1 2 1
2 0 2
0 3 2
1 0 1
2 0 3
1 3 1
2 2 1
3 3 0
3 0 1
10 8
0 2 2
1 0 1
1 1 2
2 1 2
0 0 0
2 0 1
0 1 1
0 1 2
2 2 2
1 0 2
10 3
2 2 2
2 3 1
3 2 3
3 1 2
1 0 1
0 0 0
0 1 1
3 3 0
0 1 0
2 1 1
10 6
0 1 0
0 2 1
1 0 0
1 0 2
2 2 0
1 1 0
0 2 2
1 0 1
0 0 1
2 0 0
10 7
1 1 2
3 1 0
0 3 2
1 0 0
3 0 0
1 2 1
1 2 3
1 2 2
0 1 2
0 3 1
10 7
1 1 3
0 2 0
0 0 2
3 1 0
1 2 3
0 2 2
2 2 3
2 3 2
1 3 0
2 0 2
10 4
3 3 2
1 0 3
0 0 3
1 2 3
2 0 0
1 2 1
0 2 3
3 2 1
2 2 3
1 1 2
10 9
3 1 0
0 2 3
0 0 2
3 3 1
0 1 0
1 2 2
1 1 0
2 3 2
2 0 1
2 3 0
10 6
2 2 2
2 2 0
2 1 1
2 1 2
1 1 0
0 2 0
0 1 0
0 1 1
1 2 1
1 2 0
10 7
1 0 1
0 0 2
2 0 2
1 2 0
0 0 0
2 2 2
1 1 0
2 1 1
1 1 1
0 1 0
10 7
2 1 0
0 0 0
0 0 3
3 3 2
0 1 0
2 1 1
2 2 2
3 0 0
0 2 2
2 2 1
10 4
1 2 0
3 2 2
3 2 0
0 1 3
3 2 1
1 1 0
1 3 0
2 1 1
3 0 3
1 0 3
10 2
1 3 2
3 0 3
1 0 2
0 3 0
2 3 0
1 3 3
0 0 1
1 2 2
0 1 0
1 1 1
10 9
2 3 3
1 1 0
0 2 2
3 1 2
0 1 3
2 2 0
2 0 3
3 1 3
1 2 0
0 3 1
10 7
1 0 2
2 1 3
0 3 0
1 0 1
3 1 3
3 2 3
1 1 2
2 3 1
0 1 3
3 3 3
10 2
1 2 2
3 2 0
3 2 1
0 1 2
2 0 2
1 3 0
3 3 1
0 2 0
3 1 3
1 1 1
10 6
3 1 0
1 3 0
3 2 3
2 0 3
0 2 1
2 1 0
1 3 3
3 2 1
2 1 3
2 2 0
10 3
0 2 1
2 1 1
0 3 3
0 3 1
1 2 3
2 0 3
3 1 3
3 2 1
3 2 3
1 2 1
10 5
1 2 3
3 1 3
3 3 2
3 1 0
3 0 3
1 3 3
2 3 0
0 3 1
1 3 1
2 3 2
10 9
1 3 0
0 3 3
3 3 2
1 2 2
0 1 2
2 0 3
2 1 2
0 3 1
2 0 2
3 3 0
10 5
2 0 0
1 2 0
2 2 1
0 2 2
1 2 2
2 1 0
1 2 1
0 2 0
0 1 0
1 1 0
10 6
2 3 2
0 1 2
2 0 2
1 2 2
1 0 2
2 0 0
0 1 0
3 2 3
1 3 1
2 0 3
10 6
0 2 2
2 2 1
3 1 2
1 2 1
2 0 0
2 3 3
1 1 1
2 1 0
3 1 1
1 3 2
10 3
0 2 1
3 0 3
1 1 0
3 1 2
0 2 3
3 2 2
3 3 2
0 1 0
0 1 2
3 1 0
10 5
1 2 1
0 2 0
2 1 1
2 0 2
0 2 2
1 2 2
0 0 2
0 1 1
2 1 2
1 1 1
10 3
1 2 1
0 2 0
1 2 2
0 1 2
0 0 2
2 0 1
1 0 2
1 1 1
0 0 0
0 1 0
10 4
0 0 0
1 0 1
0 2 0
2 0 2
0 0 1
2 1 1
1 2 1
0 1 1
2 1 2
2 2 2
10 7
0 0 0
2 2 1
0 2 2
2 2 2
0 1 2
2 0 1
1 1 1
1 1 2
1 1 0
0 0 1
10 4
3 3 1
0 3 3
2 0 0
1 1 3
0 1 3
2 2 1
1 2 1
3 0 1
1 3 2
3 0 2
10 8
0 0 1
0 1 2
1 2 1
1 0 2
0 1 0
1 2 2
2 0 1
1 0 1
1 1 2
0 2 2
10 9
0 1 2
2 2 2
1 0 1
1 0 0
0 0 2
1 0 2
2 2 0
1 1 0
1 1 2
2 1 0
10 3
0 0 0
1 0 0
2 0 0
2 1 2
1 1 2
2 2 1
0 2 0
0 2 2
2 1 0
2 1 1
10 2
0 0 1
1 2 2
0 1 2
2 2 3
3 3 3
2 2 0
1 0 2
1 2 3
0 0 3
3 0 3
10 6
0 1 0
0 1 1
0 1 2
2 0 0
1 1 1
1 2 0
0 2 1
1 0 1
0 2 0
0 0 1
10 2
0 2 1
0 1 0
0 0 2
0 2 0
2 1 1
2 2 0
2 1 0
2 2 2
0 2 2
1 1 2
10 8
1 0 0
1 1 0
2 0 0
0 0 2
2 1 1
0 1 1
2 0 1
0 0 1
0 2 0
2 2 2
10 3
3 0 2
3 1 3
2 3 1
3 2 0
1 0 3
3 0 3
0 2 3
2 3 0
1 0 1
0 3 0
10 9
2 2 1
1 2 1
0 0 2
1 0 0
1 1 2
0 1 1
2 2 0
1 2 2
2 0 0
0 1 2
10 2
2 2 0
2 0 0
1 0 2
2 1 0
1 0 0
2 1 2
1 1 2
1 1 1
0 0 1
0 2 2
10 7
2 2 2
0 1 0
1 1 0
0 2 1
0 0 1
0 1 1
2 1 1
2 1 0
0 1 2
2 0 0
10 4
1 3 2
0 1 1
3 3 3
0 0 0
0 2 0
2 2 1
2 2 2
1 2 3
2 0 2
1 1 1
10 3
1 2 2
1 2 1
0 0 1
2 1 2
2 0 0
2 2 1
2 2 2
1 0 2
0 2 0
0 1 0
10 4
1 0 3
3 2 0
3 0 2
0 3 0
2 1 1
3 3 2
1 3 3
2 3 3
3 1 2
3 2 3
10 8
1 1 2
0 2 0
2 2 0
0 2 2
0 0 0
1 1 1
2 0 1
1 0 1
1 2 0
1 2 1
10 2
2 2 0
1 0 1
0 2 2
0 2 1
1 0 2
1 2 2
0 0 0
2 2 2
1 1 1
1 1 2
10 3
2 2 2
2 0 1
1 1 1
0 2 2
0 0 0
0 0 1
0 2 1
1 1 2
0 0 2
2 1 2
10 9
2 2 0
1 1 2
0 1 0
2 0 0
1 1 0
1 2 1
0 2 2
1 2 2
1 0 2
1 0 0
10 8
0 2 2
0 3 2
3 3 3
1 1 0
3 0 1
3 1 0
2 1 0
0 1 1
1 2 2
1 0 2
10 4
1 2 0
2 2 0
0 0 2
0 2 1
1 1 1
2 0 2
0 2 2
2 2 2
0 1 2
1 1 0
10 9
1 2 1
1 2 3
1 0 3
3 0 3
2 1 0
2 3 3
2 0 2
2 2 3
2 0 0
3 1 1
10 5
2 2 2
1 1 2
2 2 1
0 2 0
2 1 1
1 1 0
1 1 1
0 2 1
0 1 0
0 1 1
10 8
0 1 1
0 0 1
1 1 1
0 1 0
1 2 1
2 2 2
0 0 2
0 0 0
0 2 0
2 1 0
10 2
0 0 0
0 0 1
0 2 1
1 0 2
1 2 2
0 0 2
2 0 1
2 2 2
2 1 1
0 2 2
10 3
0 2 0
0 1 2
2 2 2
1 2 0
2 2 0
0 0 1
2 2 1
1 1 1
0 1 1
1 1 2
10 6
2 1 2
3 0 3
0 2 1
1 1 3
1 1 2
3 3 1
3 0 1
1 1 1
1 2 1
0 3 0
10 9
2 3 1
3 3 2
2 3 2
1 1 0
3 2 3
3 1 3
3 3 1
3 0 1
0 2 0
1 3 2
10 9
0 3 3
3 3 2
3 0 1
1 2 1
0 2 3
2 0 3
3 1 1
0 0 3
3 1 0
3 2 2
10 4
0 2 1
2 2 0
1 2 2
0 1 0
1 0 0
0 0 0
1 0 2
1 0 1
0 0 2
0 1 2
10 2
1 2 0
3 1 1
3 1 2
1 0 2
1 3 0
0 0 0
3 3 3
3 2 3
3 3 0
3 3 2
10 2
0 2 0
1 0 0
2 1 0
1 1 2
2 2 0
1 0 1
0 0 2
1 2 0
0 1 1
0 0 0
10 9
0 2 0
2 1 1
2 0 1
2 2 2
2 0 0
1 1 2
2 2 1
1 1 1
0 1 2
1 2 2
10 6
1 2 0
1 2 2
0 1 0
2 0 2
2 2 0
0 2 0
1 1 1
2 0 0
2 1 2
0 0 1
10 2
1 2 3
0 1 2
0 3 1
2 2 1
0 1 1
1 0 3
1 2 0
0 0 3
0 3 0
2 0 3
10 2
2 0 1
0 3 2
1 0 2
1 1 1
3 1 2
2 0 0
0 3 0
3 1 1
0 0 2
2 2 1
10 9
1 2 0
2 1 0
2 0 0
0 0 0
1 0 2
1 1 0
1 0 0
2 2 2
2 1 2
1 1 1
10 6
0 1 2
2 2 1
0 3 3
2 3 3
1 3 1
1 3 3
0 3 2
1 3 2
2 0 1
0 1 0
10 9
2 1 2
0 2 2
0 1 1
1 0 1
2 2 0
0 0 1
2 0 1
0 1 0
0 2 1
1 1 0
10 2
1 0 1
0 1 3
0 3 3
0 1 2
3 3 0
0 3 0
2 0 0
0 2 1
3 1 1
1 1 3
10 3
0 1 1
0 2 2
1 0 1
2 1 0
1 2 2
1 1 0
1 0 2
1 2 0
0 1 0
0 0 1
10 4
1 3 3
0 3 3
1 1 2
1 2 2
2 1 0
3 2 0
3 3 1
2 0 0
3 0 3
2 2 1
10 2
1 2 2
0 2 1
1 0 0
2 1 0
0 1 1
2 1 2
2 1 1
1 0 2
2 0 2
0 0 2
10 4
0 0 0
0 0 2
0 2 0
1 0 0
2 0 1
0 0 1
2 2 1
1 0 2
2 2 0
2 1 0
10 4
1 0 2
1 1 1
1 2 0
0 0 1
3 1 1
2 2 1
0 3 2
3 2 0
0 2 3
1 2 2
10 9
2 1 0
1 1 0
1 2 0
2 2 0
0 0 2
0 1 2
0 2 1
0 2 2
1 0 1
1 1 1
10 3
1 2 2
0 0 0
1 1 0
1 1 2
1 0 0
2 0 1
2 1 2
2 2 0
0 2 0
2 0 0
10 9
2 3 1
2 1 3
3 2 3
0 0 0
0 0 1
1 3 1
0 3 0
0 3 3
1 1 0
1 2 0
10 3
1 0 1
3 1 1
1 0 2
3 3 3
0 3 2
0 0 0
3 3 1
1 3 0
1 1 2
1 1 1
10 8
0 2 0
2 1 2
1 1 2
1 1 0
0 0 1
0 0 0
0 1 1
1 2 2
2 2 1
2 1 1
10 8
1 0 1
0 1 3
3 3 3
3 2 2
3 0 2
3 3 0
0 2 0
2 2 0
2 1 3
2 3 0
10 2
2 0 0
1 1 2
1 0 0
0 1 0
1 2 0
1 2 2
1 1 0
0 1 2
2 0 2
2 1 2
10 7
2 1 0
1 2 0
0 1 3
2 0 2
1 0 3
0 3 2
3 2 0
2 2 0
1 2 3
3 3 1
10 6
2 1 0
0 0 2
2 2 2
0 0 1
0 0 0
1 0 1
1 1 0
2 2 0
2 1 1
1 1 2
10 3
1 0 0
1 2 1
2 2 2
0 1 1
2 1 1
0 1 2
0 0 0
1 2 0
0 0 2
0 2 0
10 7
3 0 2
1 3 0
3 3 0
0 1 1
0 0 3
0 3 2
2 0 2
2 1 3
2 2 1
3 1 3
10 3
0 2 2
0 1 1
2 0 0
1 2 1
1 2 0
2 0 2
0 0 1
1 0 0
2 1 0
2 2 0
10 2
2 1 1
2 1 0
0 1 0
2 2 0
0 1 1
2 0 0
1 2 1
1 2 2
0 1 2
2 2 1
10 6
3 0 1
2 1 3
1 3 1
3 2 1
0 1 0
1 1 2
0 2 2
2 0 1
2 0 0
2 3 0
10 3
1 2 0
3 3 0
1 2 2
2 0 1
0 0 2
0 3 0
1 3 2
1 1 2
0 3 3
2 2 1
10 6
0 1 1
1 0 0
2 0 1
1 2 1
2 1 0
0 1 2
2 1 2
1 1 0
2 0 0
0 2 2
10 5
0 0 2
1 1 1
3 0 3
3 1 2
2 2 1
3 1 3
0 3 1
1 2 2
2 0 1
3 1 1
10 7
2 1 1
1 3 0
0 2 1
3 1 3
3 2 3
3 3 1
2 3 3
1 1 0
3 3 2
3 3 3
10 7
0 0 3
3 2 2
1 0 1
0 1 0
3 2 1
2 2 1
3 1 3
0 0 2
3 1 1
2 1 2
10 7
0 3 1
1 1 0
3 3 0
0 1 0
1 1 3
2 3 1
1 3 2
1 1 1
3 0 2
3 1 0
10 2
1 0 0
1 2 1
0 2 0
0 0 1
0 0 0
0 2 1
0 2 2
0 1 2
2 2 1
1 0 2
10 6
2 2 1
3 2 2
1 1 3
1 2 3
2 1 0
1 0 2
2 2 0
2 3 1
2 2 2
0 1 1
10 2
0 0 0
2 3 0
2 1 1
3 3 2
2 1 3
2 1 0
2 3 2
2 3 1
2 2 0
0 2 2
10 9
1 3 0
1 0 2
0 2 1
0 0 3
2 2 0
2 1 1
3 1 2
1 0 1
3 0 0
0 0 2
10 2
2 2 0
0 0 1
0 1 1
2 0 2
0 2 0
1 2 1
1 2 2
1 0 0
0 1 0
2 2 1
10 7
0 2 2
0 1 0
2 2 2
2 2 0
1 2 2
2 1 1
0 0 1
2 1 0
0 1 2
2 1 2
10 9
2 1 3
1 2 0
1 0 3
1 3 1
1 0 2
1 0 1
2 3 1
2 0 1
2 0 0
3 1 3
10 7
2 0 2
1 1 0
1 0 2
1 1 1
2 2 0
0 2 2
1 2 1
0 1 1
2 2 1
0 0 0
10 7
0 1 1
1 1 3
3 1 0
2 0 1
1 0 2
2 1 2
0 3 0
1 3 0
2 1 3
2 1 0
10 6
1 0 1
1 1 2
3 0 2
2 3 3
1 2 0
2 1 2
1 1 3
3 2 1
3 1 1
3 2 0
10 6
2 2 2
2 1 0
0 0 0
1 2 0
2 2 1
2 0 0
0 0 1
0 1 1
0 1 2
2 2 0
10 4
1 1 1
0 2 0
2 2 0
0 1 0
1 0 2
1 2 0
1 2 1
1 0 0
0 0 2
0 0 0
10 3
0 1 2
1 0 2
2 0 1
0 1 1
0 2 0
2 1 0
2 1 1
0 0 0
1 1 0
1 0 1
10 3
0 0 1
2 1 0
1 0 2
2 2 2
1 0 1
1 2 2
1 1 0
2 2 0
2 0 2
0 0 2
10 4
0 0 0
2 0 2
2 2 2
1 2 2
0 1 2
1 2 1
2 2 1
1 1 1
0 2 0
1 0 2
10 7
2 0 0
1 1 0
1 2 1
1 0 2
2 2 1
1 0 1
2 0 1
2 1 0
0 1 0
0 2 2
10 4
2 0 2
1 1 2
0 1 1
2 1 0
0 2 2
2 1 1
1 2 0
2 2 1
0 1 2
0 0 0
10 9
2 3 2
3 0 1
0 0 3
3 1 3
3 3 0
2 2 3
3 3 1
3 1 2
2 0 2
0 2 3
10 5
3 3 3
2 0 3
3 2 0
3 0 3
1 1 1
0 0 0
2 3 1
3 1 3
0 1 3
1 3 3
10 4
0 1 0
0 0 1
3 2 2
2 1 3
3 2 3
2 3 2
2 2 0
1 0 1
1 3 1
3 0 2
10 8
2 1 0
0 2 2
1 2 1
1 1 0
2 2 1
2 0 2
0 0 0
1 0 2
2 1 1
1 1 1
10 5
0 0 0
2 0 1
3 3 0
0 3 3
2 3 0
2 3 2
1 1 0
3 1 0
2 2 2
2 0 3
10 7
1 3 0
3 2 0
0 0 1
1 2 1
2 3 0
2 2 1
1 2 2
3 1 1
0 3 1
1 0 1
10 5
0 0 0
0 1 0
0 1 1
0 1 2
2 1 0
1 1 2
1 0 0
0 0 2
1 2 2
2 1 2
10 8
0 2 0
1 2 0
2 1 2
2 0 1
1 0 0
1 1 0
2 2 0
1 1 2
0 1 0
0 0 0
10 2
1 1 3
0 0 0
3 3 0
3 2 2
1 2 1
3 1 3
1 2 2
2 2 3
0 2 2
0 1 3
10 4
2 0 1
1 1 0
0 3 3
2 1 1
0 2 3
0 0 2
2 3 3
0 2 2
0 2 0
2 2 2
10 2
0 1 1
1 1 2
2 2 0
0 1 0
1 0 0
2 1 2
1 2 2
2 0 1
2 0 2
1 0 1
10 5
1 0 2
1 2 2
0 2 2
0 1 1
2 1 0
0 1 2
0 1 0
2 2 0
1 0 0
0 2 1
10 3
2 1 2
1 0 0
0 2 1
0 1 0
1 1 2
1 1 0
0 1 1
2 1 1
2 0 0
2 2 0
10 8
2 1 1
0 2 2
2 2 1
0 1 0
0 0 1
1 2 1
0 0 0
0 2 0
1 2 2
2 2 2
10 9
1 0 2
1 1 2
2 1 3
2 1 1
0 0 3
0 1 0
1 3 0
2 2 1
3 0 0
0 0 0
10 6
1 3 0
0 3 2
3 1 1
3 3 2
0 2 0
3 2 3
1 1 2
2 2 1
2 0 1
2 0 2
10 2
1 3 1
0 3 3
2 2 0
0 0 0
0 2 3
2 3 2
2 0 0
0 1 1
0 2 0
1 2 3
10 8
0 0 0
1 0 0
2 2 1
2 2 0
2 0 0
1 1 0
2 0 1
1 0 2
1 2 0
1 2 1
10 6
0 0 2
0 0 1
2 1 2
0 0 0
0 2 1
2 0 1
1 0 1
0 2 0
1 2 0
2 2 2
10 2
2 1 0
0 0 1
1 1 0
0 2 2
1 1 1
0 2 1
0 0 0
1 2 2
2 0 1
1 1 2
10 5
0 0 1
0 2 2
0 0 0
2 0 1
0 0 2
0 2 0
2 1 0
2 2 2
0 1 2
0 2 1
10 6
1 1 1
0 1 2
0 2 0
2 1 0
2 2 1
1 0 0
1 0 2
0 1 1
2 2 0
2 2 2
10 3
1 0 1
1 1 1
1 2 1
0 0 0
1 0 0
1 1 2
2 2 0
0 0 2
2 0 2
1 2 2
10 2
2 0 1
1 2 1
1 0 1
2 0 0
1 0 0
2 1 2
0 1 2
1 1 2
2 1 1
2 1 0
10 3
2 1 1
1 1 2
1 0 2
2 1 2
0 2 0
1 2 0
2 2 2
0 2 2
2 2 0
2 0 1
10 9
2 0 2
1 2 2
1 1 2
0 0 1
0 2 0
2 0 0
1 0 1
0 0 2
0 1 0
2 2 1
10 4
0 1 0
2 2 2
2 1 2
0 1 1
1 0 2
1 1 1
0 2 2
1 2 2
0 2 1
2 2 1
10 8
1 2 0
2 2 0
3 2 0
3 0 2
3 2 1
2 3 2
3 0 0
2 0 2
0 2 2
1 0 2
10 5
0 2 1
1 0 0
1 2 1
0 1 2
2 0 2
0 2 2
2 2 2
0 1 1
2 1 0
0 2 0
10 4
2 2 1
0 2 0
1 0 0
2 2 2
1 0 1
0 2 1
0 1 2
0 1 1
1 1 2
1 0 2
10 6
0 0 0
1 1 2
1 0 1
0 2 1
1 2 2
1 2 0
2 1 2
0 1 0
2 0 1
0 0 1
10 6
0 1 2
2 3 2
1 0 3
2 3 0
3 3 1
3 2 2
0 2 2
3 2 3
0 1 1
2 1 1
10 9
1 0 1
0 2 0
0 2 2
2 2 1
2 1 2
0 1 0
1 1 1
1 0 0
1 0 2
1 2 0
10 2
0 2 1
3 1 2
0 0 2
3 1 3
1 0 2
3 2 2
2 3 2
3 3 3
0 2 2
0 0 1
10 9
1 2 0
1 1 0
0 0 2
2 0 0
1 0 2
1 2 1
1 0 0
0 1 2
2 0 1
0 0 0
10 6
0 1 1
2 0 2
0 0 1
0 1 0
2 0 1
2 1 1
1 0 1
1 0 2
1 2 1
0 0 2
10 8
2 1 2
3 1 3
1 2 0
3 0 3
1 3 1
0 0 0
1 3 0
2 0 1
1 1 0
1 0 0
10 4
0 3 2
0 3 0
1 3 3
2 0 1
0 0 2
3 1 1
1 2 3
2 2 0
2 3 1
0 1 2
10 7
2 3 2
0 1 3
1 3 1
2 1 0
0 1 0
3 2 3
2 2 3
1 3 2
2 3 1
3 1 1
10 5
1 0 3
0 2 2
3 2 2
3 0 1
2 0 1
2 1 3
0 2 3
0 1 3
1 1 3
3 3 1
10 3
2 2 1
2 1 2
1 2 2
1 0 0
0 0 1
2 0 1
1 2 1
2 0 2
1 2 0
0 0 0
10 6
1 2 0
0 2 1
2 1 0
1 0 1
2 0 0
2 1 2
0 1 1
1 1 0
1 0 0
0 0 1
10 4
1 3 1
3 2 2
2 3 1
1 3 0
2 1 2
1 0 2
0 2 3
1 2 3
0 1 1
3 3 1
10 8
0 2 2
2 2 2
0 2 0
1 2 1
0 0 1
0 0 2
2 1 0
2 2 1
2 0 1
1 0 2
10 4
2 2 1
1 2 2
2 0 0
1 2 1
1 1 0
2 1 1
2 0 1
2 0 2
1 1 1
0 0 1
10 8
2 2 1
1 0 3
2 2 0
2 0 1
2 3 2
3 3 0
3 2 2
0 2 1
3 1 1
3 2 1
10 3
1 0 3
3 1 3
3 2 1
1 1 1
1 0 2
3 0 2
2 1 3
1 1 2
0 1 2
2 1 1
10 9
2 2 0
1 0 0
2 0 2
0 1 2
0 2 2
0 0 0
0 1 1
1 1 1
1 1 2
2 2 1
10 3
0 0 1
2 2 1
1 1 2
0 2 1
0 1 0
0 0 0
2 1 0
2 1 2
2 0 0
2 2 2
10 6
2 3 2
0 1 0
3 3 0
0 3 1
1 0 1
0 3 3
1 1 0
2 0 3
0 1 2
0 2 2
10 3
0 1 2
2 2 0
1 2 2
2 0 0
2 1 0
1 2 1
1 0 0
0 2 0
1 2 0
2 2 2
10 8
0 2 1
1 0 0
2 1 1
0 1 1
0 2 0
0 0 0
2 1 2
0 1 2
1 2 1
2 2 1
10 9
3 2 3
3 0 0
0 3 2
3 3 2
1 3 2
2 2 1
3 0 3
1 1 3
3 3 0
1 0 3
10 7
3 0 0
0 1 0
3 2 3
2 1 2
3 3 1
2 0 3
1 0 2
3 2 1
0 3 2
3 0 1
10 7
2 0 2
1 3 1
1 3 3
2 1 1
1 3 2
2 0 0
3 2 3
0 3 1
0 3 2
3 3 1
10 8
2 2 2
0 2 0
0 1 1
2 1 0
0 2 1
2 0 2
2 0 0
1 2 2
0 0 1
1 0 0
10 4
3 2 2
0 3 2
1 3 1
2 2 0
2 0 2
2 2 2
0 1 3
3 0 3
0 2 1
0 0 1
10 7
1 3 3
1 0 1
3 2 0
2 1 2
1 3 0
1 2 0
0 1 2
2 1 1
2 2 0
2 0 1
10 6
2 2 3
1 3 1
2 1 1
2 0 3
0 2 2
3 2 1
1 2 2
3 3 0
3 2 3
2 1 3
10 8
2 0 0
0 2 1
2 2 1
0 0 2
1 0 2
0 2 0
1 1 2
0 1 0
1 2 2
1 0 0
10 7
1 3 1
2 2 0
1 0 0
0 0 0
3 1 3
3 3 3
3 0 2
1 1 3
0 0 1
2 3 0
10 9
2 1 0
1 1 1
0 0 2
2 0 0
1 0 1
2 2 1
2 2 2
0 1 2
0 2 0
0 1 0
10 4
1 0 2
0 0 1
2 2 2
1 2 1
1 1 0
1 2 0
0 2 2
2 0 0
2 1 2
2 2 1
10 2
0 1 3
1 0 3
2 3 2
2 1 0
1 3 3
0 3 1
3 3 3
2 1 3
2 3 1
3 2 3
10 9
2 0 2
0 2 0
1 1 2
2 0 1
1 1 1
0 1 0
1 1 0
0 0 0
1 2 1
2 2 1
10 6
2 1 0
0 2 2
2 0 0
0 1 0
2 2 2
1 2 1
2 1 1
2 2 0
0 0 1
1 0 1
10 3
1 0 0
1 3 3
0 2 0
1 1 1
2 1 3
0 1 0
2 0 3
3 0 2
1 2 0
0 0 1
10 2
1 1 1
2 2 2
2 0 1
1 1 0
2 2 0
1 2 1
0 0 0
2 0 0
0 1 2
1 2 0
10 4
2 0 3
3 2 0
0 2 0
0 3 0
2 2 2
3 1 0
1 0 0
3 3 0
3 0 2
2 1 2
10 6
2 2 0
0 1 1
1 2 0
1 2 1
1 0 1
2 0 1
2 0 2
1 1 1
0 0 2
0 1 2
10 2
2 3 2
3 1 2
2 0 3
1 1 0
3 2 0
2 1 0
2 1 1
2 3 0
0 3 0
3 1 0
10 6
1 1 1
0 2 0
2 3 2
1 2 2
0 3 1
2 2 1
2 1 2
3 0 1
0 1 0
3 3 0
10 4
0 1 2
0 0 2
2 0 1
1 0 0
1 0 1
2 0 2
2 1 0
1 1 2
0 0 0
2 1 1
10 4
2 1 1
1 2 1
3 1 1
0 3 1
1 1 0
2 2 1
2 2 3
1 0 0
3 3 3
3 0 0
10 9
2 0 2
0 1 2
1 0 1
1 1 0
0 0 2
0 1 0
2 1 2
2 2 0
1 2 0
1 1 1
10 9
2 1 2
1 0 1
0 1 0
0 2 2
1 0 0
0 0 2
0 0 0
2 0 0
1 2 2
1 2 1
10 6
0 1 1
2 2 0
3 2 0
1 2 2
1 2 3
3 3 1
2 2 2
2 0 1
2 3 3
2 1 1
10 7
1 3 1
1 3 3
0 3 0
1 1 0
2 3 2
2 0 0
0 1 2
1 1 3
0 1 1
2 1 1
10 5
0 0 1
1 0 1
2 2 1
1 0 2
2 1 2
2 0 2
1 2 1
1 2 0
2 0 1
1 1 1
10 5
0 0 0
1 2 2
1 1 1
2 0 0
2 0 2
2 1 0
0 2 0
2 1 1
0 1 2
2 1 2
10 4
2 0 0
1 2 1
0 1 1
1 0 1
2 0 1
1 2 0
0 1 2
2 0 2
1 1 2
2 2 0
10 4
0 1 3
1 3 1
1 3 3
0 3 3
3 2 2
1 2 3
1 2 1
3 2 0
1 1 2
0 1 0
10 9
0 2 3
3 1 2
1 2 0
0 1 0
1 0 2
1 2 1
3 0 3
1 1 3
1 2 2
2 0 2
10 9
2 1 2
1 2 0
2 2 2
1 0 0
0 0 2
0 1 2
0 1 0
1 1 2
2 1 1
2 1 0
10 3
3 0 3
3 3 2
2 0 1
2 2 2
1 0 1
0 0 2
3 2 0
1 3 1
2 3 3
1 2 1
10 5
3 1 3
1 2 2
1 2 1
3 0 3
1 1 3
1 3 2
0 0 2
3 3 3
1 1 0
2 1 1
10 7
2 0 2
2 2 2
1 1 0
0 2 2
2 1 1
0 2 0
1 0 2
1 0 1
1 1 2
0 0 2
10 3
0 0 2
2 1 0
2 1 1
0 1 0
0 2 2
2 0 1
1 0 0
1 1 1
1 2 0
2 0 2
10 5
0 0 0
2 2 0
2 0 1
1 2 3
1 1 3
0 2 3
2 2 2
0 2 2
0 1 1
1 1 2
10 5
1 1 2
0 1 1
2 1 1
1 0 0
1 1 0
0 0 2
2 0 0
2 0 1
1 2 0
2 1 2
10 3
2 2 0
1 0 0
2 0 1
0 2 2
1 2 0
2 0 2
1 1 2
1 0 1
2 1 2
0 0 2
10 3
1 0 2
0 0 2
0 1 3
1 3 1
3 2 3
3 0 3
0 1 1
3 0 0
0 2 3
1 2 3
10 7
1 0 0
0 2 1
1 1 1
0 1 2
2 0 1
1 2 2
0 2 0
2 1 2
2 2 1
0 0 1
10 7
1 0 2
2 2 0
0 1 2
0 0 0
2 1 2
1 1 0
1 2 1
0 0 2
2 0 2
2 1 1
10 9
0 1 1
2 2 1
1 2 1
1 0 1
2 0 0
1 2 0
0 2 2
1 0 0
2 1 2
1 0 2
10 6
2 1 0
2 0 2
0 0 1
0 2 1
0 1 0
2 0 0
1 1 1
2 2 0
1 1 0
0 0 0
10 7
1 2 3
0 0 3
0 1 0
0 3 2
3 0 1
1 2 0
2 0 0
0 0 1
1 2 1
0 0 2
10 9
2 1 0
1 1 2
2 2 0
0 0 0
1 0 2
1 0 1
2 0 2
2 2 1
2 0 0
0 0 1
10 3
0 2 2
2 0 0
1 0 0
2 2 2
2 0 2
1 2 0
0 0 0
1 1 1
2 0 1
0 1 0
10 8
3 1 3
0 1 0
2 2 3
2 1 1
3 2 3
1 1 1
0 0 0
1 1 3
1 0 3
3 3 1
10 9
1 0 0
0 1 0
2 2 0
2 0 1
2 1 0
2 0 2
2 2 2
1 2 2
0 2 1
0 2 2
10 4
0 0 1
2 2 1
2 1 0
0 1 1
2 0 2
0 2 0
2 1 1
0 1 2
1 2 1
0 0 0
10 8
0 0 1
1 0 1
2 2 0
1 1 2
2 1 0
2 0 2
0 1 1
0 2 2
2 1 1
0 2 0
10 4
1 1 1
0 1 2
0 1 3
3 1 0
2 1 0
1 1 3
1 2 2
2 3 1
3 1 3
1 1 0
10 2
2 2 2
3 2 1
2 3 2
0 1 2
2 3 1
3 1 1
1 3 3
3 0 1
1 1 0
3 0 3
10 4
0 2 2
0 2 0
1 1 0
0 1 2
2 0 1
0 0 2
1 2 2
1 0 1
1 0 0
1 2 0
10 7
1 0 2
1 2 2
1 2 0
1 2 1
0 1 0
2 1 1
0 1 1
0 0 1
0 1 2
2 2 2
10 9
2 2 0
2 0 2
0 2 2
0 1 1
2 2 3
2 3 1
0 3 0
0 2 0
0 1 3
1 0 2
10 2
0 3 2
2 2 3
1 0 0
3 1 1
0 1 0
3 0 0
2 3 3
0 3 1
2 1 2
3 3 3
10 2
2 2 1
0 2 0
2 0 1
0 1 0
2 0 2
0 0 2
0 0 1
1 1 1
2 0 0
2 2 0
10 3
0 1 1
1 1 0
2 2 1
2 0 0
1 0 0
0 0 0
1 1 1
1 1 2
1 0 2
0 2 0
10 2
3 3 2
1 0 1
2 3 0
1 3 0
2 3 3
0 1 2
0 3 2
0 3 1
3 1 3
0 0 1
10 7
1 1 2
0 0 2
2 1 2
1 0 0
0 0 1
0 2 1
1 1 0
0 1 2
0 2 2
2 2 0
10 7
1 3 2
3 1 3
1 2 0
0 2 1
3 2 2
3 2 0
3 1 0
0 2 0
3 0 0
0 3 1
10 7
0 2 2
0 0 2
0 1 1
1 2 1
1 2 2
1 1 0
2 0 1
2 1 1
1 0 0
2 2 1
10 9
2 0 0
1 1 1
1 1 3
3 0 0
1 3 1
3 1 1
2 1 1
1 0 2
3 2 1
0 0 2
10 8
1 0 3
0 2 3
3 0 2
0 0 0
0 3 1
1 1 0
2 3 0
1 2 1
3 1 2
0 3 3
10 8
0 2 2
1 1 0
3 2 1
2 2 1
3 2 2
0 0 0
1 2 1
0 1 2
3 1 2
1 1 3
10 3
2 0 0
1 3 0
1 0 2
3 3 1
3 3 3
0 0 2
0 0 0
1 2 1
0 3 1
0 2 2
10 2
3 2 3
0 0 3
2 2 0
1 0 0
1 1 0
1 2 0
0 3 2
3 2 1
1 2 2
1 0 2
10 4
3 0 1
0 0 1
3 3 3
2 3 1
2 2 0
0 1 1
2 1 0
1 2 1
0 3 3
3 2 1
10 9
0 0 2
1 1 0
0 3 0
0 2 3
0 3 2
0 3 1
2 0 0
2 0 3
0 2 0
2 1 3
10 8
1 2 1
1 0 1
0 0 0
0 1 2
2 1 2
2 1 1
2 1 0
2 0 2
0 1 1
1 2 0
10 2
1 2 0
1 0 3
3 3 3
2 3 0
3 2 0
0 1 1
1 1 2
0 0 3
1 2 3
2 2 2
10 5
3 1 0
0 1 3
3 0 1
2 2 1
0 3 0
2 1 2
1 0 0
2 0 0
0 2 1
0 3 2
10 5
2 2 3
0 1 1
3 3 0
2 1 0
0 0 3
3 2 3
2 3 0
1 2 0
1 2 2
1 3 3
10 9
2 2 0
0 2 1
2 1 0
0 1 0
2 0 0
0 1 1
1 2 1
2 1 2
0 1 2
1 1 2
10 3
3 1 3
3 1 2
1 3 2
2 2 3
2 1 1
0 3 1
3 1 0
1 1 3
3 2 2
1 3 1
10 6
2 0 0
1 0 2
0 2 3
0 2 1
1 1 0
2 2 3
2 3 2
2 2 1
2 1 0
1 3 2
10 4
2 0 0
3 3 3
1 2 3
2 0 1
1 2 2
1 0 1
2 0 3
1 0 3
3 3 0
2 2 1
10 9
2 3 3
2 0 0
0 3 3
3 3 3
3 1 3
2 1 1
1 3 1
3 2 2
0 2 2
3 0 1
10 9
1 1 1
3 2 3
0 1 1
2 2 0
2 2 1
0 0 0
1 2 2
3 2 0
2 0 0
3 2 2
10 6
3 2 2
0 2 2
1 1 0
1 0 2
0 3 2
3 1 3
0 3 0
1 2 3
0 2 0
2 3 2
10 5
0 2 1
2 2 2
0 2 0
0 1 1
1 1 2
1 0 1
0 0 0
2 0 2
2 1 2
2 2 0
10 9
2 2 1
0 0 1
1 1 1
0 1 1
0 1 2
2 2 2
1 2 1
0 0 0
1 2 0
0 2 1
10 7
0 0 2
1 2 2
1 1 2
0 2 2
1 2 1
2 2 0
2 1 0
1 0 0
1 1 1
0 1 2
10 7
0 0 1
1 2 3
1 0 1
2 2 0
3 1 0
2 3 0
1 1 3
3 2 2
2 0 3
0 3 0
10 3
1 0 2
1 2 1
1 1 2
2 1 0
2 1 2
0 1 2
1 0 0
0 2 0
0 0 0
0 2 2
10 4
1 1 0
1 1 1
1 1 2
2 0 2
2 2 1
2 1 1
1 0 1
0 0 1
1 2 0
0 2 2
10 8
0 1 0
2 2 2
1 2 2
0 0 0
1 0 0
1 2 0
2 1 1
2 0 0
0 1 2
2 0 1
10 3
2 1 1
0 1 0
2 2 2
0 0 2
0 0 1
2 2 1
2 0 2
0 1 1
2 0 1
0 1 2
10 8
1 1 2
2 0 2
1 2 1
2 2 1
1 0 2
2 0 0
0 2 2
2 0 1
0 1 2
1 2 2
10 9
2 1 2
2 1 1
1 2 2
0 0 3
2 0 2
2 0 3
2 3 3
3 3 1
2 3 0
3 0 0
10 3
1 3 2
1 2 0
3 1 3
0 0 0
2 0 3
0 2 0
0 1 1
0 2 3
3 0 0
1 3 3
10 3
2 0 2
1 0 2
1 2 0
2 0 0
0 1 2
2 1 2
0 0 1
2 2 2
0 1 1
1 2 2
10 8
0 2 0
0 1 1
1 2 2
2 3 2
3 3 2
1 0 1
3 3 1
2 0 2
0 0 3
2 0 0
10 3
0 1 0
1 0 2
2 1 0
2 0 0
0 2 1
0 2 2
1 0 1
2 0 1
1 1 2
0 2 0
10 4
2 2 1
0 1 2
0 2 1
2 1 0
1 1 2
2 0 2
1 2 2
2 0 1
0 1 0
2 0 0
10 7
1 2 0
1 1 1
0 2 2
2 0 1
1 1 0
0 1 2
1 0 2
2 1 0
0 1 1
2 0 0
10 4
3 0 0
1 2 2
0 0 0
0 3 2
3 3 3
3 3 2
0 3 3
2 1 2
0 1 3
0 1 0
10 4
1 1 1
2 1 2
0 0 3
1 2 1
2 1 0
0 1 1
2 3 2
0 2 2
3 1 1
1 1 0
10 5
1 0 0
1 2 0
2 2 0
0 2 0
2 1 2
0 0 1
0 1 1
2 2 1
2 1 1
1 1 2
10 2
2 2 0
2 1 1
2 0 1
1 0 0
1 1 0
2 1 0
0 1 2
1 1 1
0 1 0
2 0 2
10 6
2 1 0
1 0 1
1 1 1
0 0 2
1 2 0
2 2 2
2 1 1
0 0 0
2 0 1
1 0 2
10 5
2 1 1
0 2 0
1 1 2
0 1 2
1 1 0
1 2 2
1 2 0
1 0 2
2 1 0
0 0 0
10 4
1 1 2
1 1 1
1 2 1
2 1 0
1 2 0
2 2 1
0 0 0
0 1 0
2 2 2
0 2 0
10 5
2 2 0
0 0 1
1 1 0
1 1 2
0 1 2
2 2 2
2 0 2
1 0 0
2 0 0
2 1 2
10 3
0 3 0
2 1 2
1 2 3
2 2 1
2 3 1
3 3 0
0 1 3
0 0 1
2 0 0
0 1 1
10 2
0 1 2
0 2 2
1 2 2
1 0 1
2 2 2
2 0 2
1 0 2
1 1 2
0 2 0
1 1 0
10 6
0 0 1
1 1 2
0 1 0
1 0 2
2 1 0
2 2 2
0 0 0
1 0 1
2 0 1
0 1 1
10 4
0 0 1
0 0 2
2 2 2
2 0 0
0 1 1
0 2 2
2 1 0
0 0 0
1 0 0
2 0 2
10 5
0 1 2
0 1 0
1 2 2
2 1 2
1 1 0
0 1 1
0 0 1
1 2 1
0 0 2
2 0 2
10 3
1 0 0
2 1 1
1 1 0
1 1 1
2 0 1
2 1 2
2 0 2
1 1 2
0 0 1
2 2 0
10 3
1 0 0
1 2 0
0 1 1
2 1 2
0 1 0
2 1 1
1 2 2
1 0 2
2 2 2
2 0 2
10 7
1 1 2
1 2 2
0 2 1
1 0 0
2 1 2
0 0 1
1 1 0
1 1 1
0 2 2
1 0 1
10 7
2 1 0
3 0 0
2 0 1
1 1 3
2 1 1
0 2 0
2 2 0
3 1 2
1 2 3
2 3 2
10 6
0 2 0
1 1 2
2 2 2
2 0 2
0 0 0
2 0 0
0 0 1
1 2 2
1 0 2
0 0 2
10 9
2 1 1
2 3 2
2 0 1
1 3 2
0 3 2
0 0 1
1 1 2
1 2 2
3 3 0
3 1 3
10 3
0 1 2
0 3 3
2 3 0
1 0 1
3 0 3
0 1 1
0 0 2
2 0 1
3 2 3
1 3 2
10 5
2 0 2
2 1 0
3 0 2
1 3 0
0 1 2
3 2 0
2 3 2
0 0 0
2 2 1
3 0 1
10 3
1 0 2
0 0 0
0 0 1
0 2 1
1 2 1
1 1 0
0 2 2
2 1 2
0 1 2
1 2 0
10 3
2 0 0
2 0 1
0 2 1
0 2 0
0 0 0
1 2 0
0 0 1
1 1 2
1 2 2
2 1 0
10 2
1 2 1
2 0 0
1 0 1
0 1 1
2 1 1
2 2 2
0 1 2
0 1 0
1 1 1
0 2 0
10 3
1 2 0
0 1 1
1 1 1
2 2 0
2 2 2
1 1 2
2 0 2
0 0 2
1 2 2
1 2 1
10 8
2 1 0
0 1 0
2 0 1
1 1 1
0 1 1
1 0 2
1 1 2
1 0 1
2 0 2
1 0 0
10 5
2 1 1
0 0 2
2 0 1
3 0 2
3 1 1
3 3 2
2 1 3
2 1 0
0 3 2
1 1 2
10 8
2 3 1
1 1 2
2 1 3
1 0 1
3 0 1
1 1 0
2 2 1
3 1 1
1 1 3
1 3 1
10 5
1 1 1
0 1 0
1 1 0
0 1 1
1 2 1
2 1 1
2 2 0
0 2 0
2 2 1
2 1 2
10 2
1 2 1
0 3 1
1 3 2
3 0 1
0 2 0
3 0 2
0 2 1
1 2 0
2 2 0
1 3 1
10 4
1 0 0
2 2 2
0 1 1
2 2 1
0 1 2
0 0 2
1 1 1
2 1 0
2 0 2
1 2 0
10 5
1 2 0
2 2 2
0 1 2
0 1 1
2 1 0
1 1 0
1 1 2
0 2 0
0 0 2
2 0 2
10 4
1 0 0
0 2 3
1 3 1
2 3 3
3 3 2
2 0 2
0 2 2
2 1 2
3 1 2
2 3 1
10 3
0 1 3
1 1 0
2 3 2
1 1 2
2 1 1
1 3 1
0 1 2
3 3 1
3 1 2
1 0 2
10 7
0 0 0
3 3 3
2 2 2
0 1 2
3 3 2
2 0 2
3 0 1
1 2 0
2 0 1
3 2 2
10 6
1 0 2
2 2 0
2 2 2
2 0 0
2 1 2
0 1 1
2 0 2
1 1 1
2 1 1
0 0 1
10 8
2 0 0
1 2 1
2 1 2
2 2 1
1 2 2
1 1 1
2 1 1
2 0 2
0 2 2
0 2 0
10 9
2 0 1
0 2 2
1 1 2
0 0 2
1 0 2
1 0 0
2 0 2
2 0 0
0 1 1
1 1 1
10 9
3 1 1
0 1 3
3 1 3
2 1 2
3 1 0
1 0 1
1 3 1
0 2 3
2 2 1
3 0 0
10 5
0 1 0
0 0 0
2 0 2
1 1 2
1 0 2
3 1 2
2 1 0
2 3 0
3 1 1
3 3 1
10 2
0 0 1
2 1 0
2 2 1
2 0 0
0 1 2
1 0 2
2 0 2
2 1 2
1 1 2
0 0 2
10 2
3 3 3
0 2 0
3 1 3
3 1 0
3 2 0
3 0 2
0 2 3
1 3 3
0 0 2
1 2 0
10 9
0 2 0
3 1 2
2 3 3
1 1 3
3 1 1
0 2 3
2 0 2
1 3 2
1 1 0
0 3 3
10 4
1 0 2
1 2 0
2 0 1
2 0 2
2 2 0
0 1 2
0 1 0
0 1 1
1 1 2
0 2 1
10 2
2 1 1
0 1 0
1 2 0
0 1 1
0 2 1
2 2 0
2 0 2
2 2 1
1 2 1
0 0 0
10 8
0 2 3
0 3 0
2 1 3
3 0 1
0 3 1
2 0 3
0 3 2
1 3 2
1 2 2
3 3 2
10 9
2 2 1
2 0 1
1 2 1
0 0 1
1 0 0
1 0 2
1 1 0
2 2 2
0 2 0
0 1 0
10 6
0 1 0
1 2 2
1 1 2
0 0 2
0 0 0
1 1 1
2 1 0
2 2 2
1 1 0
1 0 0
10 4
1 0 2
3 0 2
0 1 2
0 0 3
2 2 3
1 1 3
0 0 2
3 1 2
2 0 2
1 0 1
10 8
1 3 1
1 2 1
0 3 0
1 0 0
1 0 3
1 2 0
3 3 2
0 1 3
0 2 1
1 1 0
10 9
3 0 0
0 2 3
3 2 3
2 2 3
0 0 0
1 3 2
2 1 0
2 3 1
1 0 0
3 3 0
10 2
0 2 1
2 2 0
3 3 3
2 0 1
2 0 2
3 0 0
3 3 1
2 2 3
0 3 2
1 1 0
10 5
0 3 0
1 2 2
3 3 0
2 1 0
3 2 2
2 0 1
3 0 0
0 0 2
1 2 3
1 3 3
10 7
2 1 1
2 0 1
0 0 1
0 2 0
0 1 0
2 2 1
2 1 0
2 0 2
1 1 2
1 1 0
10 2
1 3 0
0 2 3
1 2 0
2 2 0
3 3 1
2 2 3
1 2 2
1 1 0
0 0 0
1 0 1
10 5
0 0 0
1 0 0
2 2 2
2 1 2
1 2 2
2 2 1
0 1 2
2 1 0
0 0 2
2 0 0
10 5
2 3 0
1 2 0
1 3 1
0 3 0
1 3 3
2 0 0
1 1 0
3 1 3
2 0 2
2 0 3
10 2
1 1 0
2 2 1
0 0 0
1 1 1
2 2 0
0 0 1
1 0 0
1 2 1
0 2 2
0 2 0
10 4
1 2 0
1 0 0
1 2 1
1 0 2
2 0 1
2 0 2
0 1 2
2 1 2
2 2 1
2 1 0
10 5
0 2 0
2 1 0
1 2 1
0 0 1
2 0 0
1 2 2
2 1 1
2 0 2
1 1 0
0 1 2
10 4
3 2 2
0 1 2
0 3 0
3 1 1
2 1 0
3 0 1
3 2 3
2 2 3
2 3 2
2 3 1
10 5
0 1 2
3 3 2
1 2 2
3 3 3
1 2 1
1 3 2
3 0 1
2 1 2
1 3 3
2 3 0
10 5
0 3 1
2 2 3
3 3 1
3 2 1
3 2 3
3 2 0
0 2 3
3 2 2
2 2 0
1 2 1
10 4
2 2 3
1 0 0
1 3 2
1 1 3
0 1 3
2 3 0
2 1 1
2 2 2
2 3 2
1 1 2
10 8
0 2 1
2 1 3
1 2 0
3 0 3
2 2 0
1 1 1
2 0 1
1 1 3
0 2 3
2 2 3
10 3
2 1 2
1 1 2
2 2 0
2 0 1
0 2 2
1 0 2
1 0 1
0 1 0
1 2 0
1 1 1
10 7
0 1 0
0 3 2
0 3 3
0 2 2
2 3 3
1 0 3
2 0 1
3 3 1
0 0 1
1 3 3
10 4
2 2 1
2 2 0
2 1 2
0 1 1
2 0 2
2 0 1
1 1 1
0 1 0
2 0 0
1 2 1
10 6
1 1 3
1 3 1
3 2 0
3 3 1
0 0 1
2 0 3
2 3 1
0 0 2
1 1 0
3 0 0
10 6
0 2 1
2 1 1
1 1 0
0 2 0
1 2 1
1 0 0
1 2 0
2 2 2
0 0 1
1 1 2
10 7
2 0 2
1 2 0
2 1 2
1 1 1
1 2 1
2 2 0
2 1 1
1 0 1
0 1 2
1 1 2
10 4
2 2 3
2 0 2
3 2 0
1 1 1
3 2 3
3 1 0
3 0 2
0 3 0
3 0 0
1 0 3
10 7
1 0 2
0 3 0
0 1 0
0 2 3
2 1 2
3 2 3
1 0 3
1 3 0
0 3 2
2 2 1
10 6
0 1 0
1 2 2
1 1 2
0 2 2
2 1 0
0 0 1
0 2 0
1 2 1
0 1 2
0 2 1
10 7
0 0 3
2 3 2
0 1 1
0 0 0
2 2 3
1 3 1
3 0 3
0 2 0
0 0 2
2 3 1
10 7
2 1 2
0 2 0
1 0 1
0 1 1
0 2 2
1 0 2
0 1 2
1 2 2
2 2 0
0 0 1
10 4
2 2 3
3 1 2
3 0 0
1 1 0
0 3 0
0 0 0
2 2 0
0 0 1
1 2 0
3 2 1
10 5
0 3 2
2 1 3
3 2 2
3 3 0
1 2 1
0 0 0
0 2 2
1 2 2
1 1 1
2 2 0
10 7
2 2 0
1 2 1
0 0 0
1 0 0
2 0 2
2 0 1
0 1 0
2 0 0
0 1 1
1 2 0
10 7
1 1 2
2 0 0
0 0 1
1 2 2
1 0 2
2 0 1
2 2 0
2 2 1
0 1 1
1 1 0
10 5
1 1 1
2 2 1
2 1 1
0 2 2
0 1 1
1 2 0
2 2 2
2 1 2
2 2 0
1 0 2
10 6
1 1 0
0 3 2
1 0 3
3 1 2
2 1 2
3 3 2
3 1 1
3 2 3
2 0 1
3 3 3
10 7
2 1 1
1 2 3
0 0 2
0 2 2
3 0 0
0 3 0
0 3 3
3 2 2
1 0 2
3 3 1
10 2
0 0 1
1 3 3
2 3 0
2 2 3
2 0 3
3 3 0
1 0 2
0 3 1
3 3 3
2 0 2
10 9
0 1 1
2 2 1
1 0 1
2 0 2
2 2 2
1 0 0
0 1 2
1 1 1
2 1 2
0 2 0
10 6
2 1 1
1 1 2
2 0 0
1 2 2
1 1 1
1 0 0
0 2 1
0 1 0
2 2 2
1 0 2
10 4
1 1 3
3 1 3
1 2 1
1 3 3
0 0 0
2 1 2
0 1 2
0 2 3
2 1 1
1 1 2
10 9
1 1 3
2 0 1
0 3 3
3 3 2
3 3 3
0 1 1
3 3 1
3 1 1
1 2 2
2 1 1
10 4
0 2 0
1 0 2
0 1 1
1 1 0
2 0 0
1 2 1
1 2 2
1 0 1
2 1 0
1 0 0
10 8
0 1 0
0 0 1
1 2 1
0 2 2
3 1 3
1 0 2
1 3 0
3 3 2
0 1 3
2 3 1
10 4
2 2 1
2 1 1
0 1 2
2 1 2
0 2 2
1 2 0
1 0 0
0 0 0
1 0 2
2 0 0
10 3
2 1 1
1 2 2
0 2 1
0 0 0
0 2 2
2 0 1
2 2 1
2 1 2
1 1 2
1 1 1
10 9
2 1 2
0 2 0
3 3 0
0 3 3
1 1 1
3 1 1
3 3 3
3 3 1
2 2 2
3 1 2
10 3
0 2 2
2 3 2
2 3 1
3 0 3
3 3 2
0 2 1
1 0 1
3 2 1
0 1 3
0 0 3
10 4
1 3 1
0 0 2
3 0 1
3 2 2
0 1 1
1 3 2
1 3 0
1 0 3
2 3 0
3 1 1
10 7
0 1 2
2 2 1
2 1 0
0 1 1
0 0 1
2 2 0
1 1 1
1 2 0
1 2 2
2 0 1
10 2
3 2 1
3 2 3
2 2 3
2 3 1
0 1 1
0 0 2
2 1 2
1 1 2
2 3 3
3 0 0
10 3
1 1 3
2 3 1
0 2 3
0 3 0
1 2 3
1 1 2
3 3 1
0 3 3
1 1 0
3 3 0
10 6
2 2 0
0 1 2
0 1 3
1 0 3
1 2 0
0 0 2
1 2 2
1 1 2
2 1 2
2 0 3
10 4
2 0 1
1 3 1
2 1 1
2 2 0
2 0 3
0 1 3
0 3 3
3 0 1
0 2 0
3 3 1
10 5
2 2 0
0 1 1
1 2 2
0 0 2
2 0 1
2 1 2
2 2 1
0 2 2
2 0 2
2 1 1
10 9
1 1 0
1 1 1
0 0 1
2 2 2
2 0 2
1 0 2
1 0 1
1 0 0
0 2 1
0 0 0
10 2
3 1 3
3 1 0
3 0 0
1 2 1
1 3 2
3 3 3
1 3 0
2 2 1
3 0 3
1 1 2
10 4
1 2 2
2 0 1
0 2 0
0 1 1
2 0 0
1 1 1
1 1 2
1 0 0
2 2 1
2 1 0
10 6
1 3 3
3 2 0
1 0 3
3 3 3
1 3 1
3 2 3
0 2 1
2 3 2
1 1 2
3 0 1
10 4
3 0 3
3 2 3
2 2 1
3 2 2
0 3 3
0 0 0
1 1 0
2 1 2
1 2 0
3 0 1
10 5
1 0 1
2 0 0
0 2 1
1 2 2
1 1 0
0 1 0
2 1 0
1 0 2
2 0 1
2 1 2
10 9
0 1 2
1 2 2
2 1 1
2 1 0
0 2 0
1 1 1
1 2 1
1 0 0
2 2 0
1 1 0
10 3
2 1 2
2 3 1
3 1 0
2 3 2
1 2 1
3 0 3
1 0 0
2 0 2
0 0 2
3 1 3
10 5
1 2 2
3 0 0
1 1 1
1 3 0
0 3 1
0 2 3
2 1 3
2 1 1
3 2 2
1 0 3
10 4
0 0 2
3 2 2
1 3 0
0 0 3
2 3 0
0 3 3
3 2 0
2 3 3
1 2 3
3 3 1
10 2
2 0 1
0 1 1
1 0 1
1 1 1
1 0 0
0 0 2
2 2 2
1 2 2
1 1 0
2 0 2
10 5
2 0 3
3 3 1
0 3 3
3 1 2
1 3 1
2 1 2
3 3 3
0 2 3
2 2 1
1 2 0
10 8
2 0 0
0 2 2
0 0 0
1 0 0
0 0 2
0 0 1
2 0 1
2 2 1
2 1 2
1 1 0
10 9
1 1 1
2 3 3
2 3 2
3 3 2
0 0 1
1 3 3
1 2 0
0 0 3
1 0 0
1 3 1
10 3
2 1 1
0 1 2
0 0 2
0 0 0
2 0 0
0 2 2
2 2 2
2 0 2
2 1 0
0 2 0
10 5
2 0 1
0 2 0
1 2 0
1 2 2
2 2 1
0 1 2
1 1 0
2 2 0
0 0 2
2 0 2
10 7
0 0 1
0 3 2
3 2 1
1 2 2
2 2 1
1 2 0
2 1 0
2 3 0
0 1 3
2 3 2
10 7
0 3 3
2 0 0
3 1 1
0 2 1
0 2 0
1 0 2
3 0 2
0 2 3
1 0 1
3 2 0
10 2
2 2 2
2 1 0
2 1 2
1 0 1
1 2 2
2 2 1
0 2 0
0 1 1
0 0 0
1 1 1
10 3
0 1 3
1 0 3
1 2 2
3 3 3
2 2 1
0 3 3
2 3 3
1 3 3
2 3 0
2 1 1
10 2
1 0 2
3 1 0
2 1 0
3 3 2
3 2 1
1 3 2
0 1 2
0 0 2
2 0 0
1 0 1
10 7
0 0 0
3 0 0
1 0 3
0 0 1
1 0 2
0 2 2
0 2 1
3 3 2
3 2 0
2 1 2
10 2
0 1 0
0 2 1
1 0 1
1 0 2
1 2 2
0 1 1
0 1 2
2 1 1
2 0 1
1 1 0
10 8
0 2 1
0 1 0
1 2 2
2 0 0
1 1 1
1 2 0
2 2 1
2 0 1
2 1 1
0 0 2
10 2
3 0 1
0 3 0
3 3 0
1 2 2
2 0 1
1 2 1
2 1 0
2 0 2
0 0 1
0 3 1
10 5
3 1 1
3 3 1
0 3 0
0 0 0
3 0 1
1 3 3
3 2 2
1 3 1
1 2 0
0 2 0
10 9
0 1 3
3 3 0
1 0 2
3 0 2
0 3 3
2 2 0
1 2 3
2 2 2
1 1 3
0 2 0
10 6
1 1 0
2 2 1
0 0 0
2 2 0
2 1 1
1 2 0
0 2 0
0 0 1
1 0 2
2 0 1
10 8
0 0 0
2 1 0
1 0 1
2 2 2
0 2 1
0 0 2
0 1 2
0 2 2
2 0 0
1 0 0
10 4
0 2 2
2 2 1
1 1 2
1 0 0
1 2 1
0 1 1
2 2 2
2 1 1
2 0 2
1 0 1
10 6
1 2 1
0 1 1
0 0 0
2 1 1
0 0 2
2 1 2
2 2 0
1 1 0
2 2 2
1 1 2
10 8
0 2 2
1 0 2
1 1 2
1 0 1
2 2 2
0 1 1
0 1 0
2 1 2
0 0 0
2 0 0
10 7
2 0 1
2 2 2
1 0 0
2 0 0
0 1 2
2 1 2
2 1 1
0 1 0
2 1 0
0 2 2
10 6
3 0 1
0 2 3
2 2 1
2 0 2
0 2 2
1 0 2
1 1 2
0 0 3
0 2 1
3 2 3
10 5
0 2 0
2 2 0
2 1 3
0 2 1
3 2 3
0 3 1
2 0 0
0 1 0
1 2 0
3 0 2
10 6
1 1 0
3 2 3
3 3 1
1 0 2
0 2 2
1 1 1
0 0 3
3 3 3
3 1 0
2 1 2
10 9
0 2 3
1 3 2
1 2 1
1 1 0
1 1 3
3 3 2
1 1 1
2 1 3
0 0 3
1 2 0
10 8
0 1 1
2 1 2
0 0 1
1 2 2
2 0 2
2 2 1
0 1 0
0 2 1
2 1 1
0 1 2
10 2
1 1 1
0 1 2
0 2 1
2 1 0
1 2 0
2 0 1
2 1 2
0 2 0
0 1 1
2 0 0
10 4
3 1 2
2 0 0
1 0 3
2 1 2
1 3 3
1 3 0
3 0 1
2 1 3
2 0 2
0 1 0
10 6
2 1 1
3 0 3
1 2 0
1 2 2
1 3 0
2 0 2
1 0 1
1 0 3
0 2 2
3 0 0
10 5
0 2 0
3 0 0
2 1 1
3 3 1
2 1 3
2 0 0
3 3 0
2 0 1
1 1 0
3 3 3
10 6
3 2 0
0 1 0
0 0 3
3 0 0
3 0 1
2 2 1
0 1 1
1 2 0
1 3 2
2 1 1
10 7
1 1 1
0 2 1
3 0 3
0 1 3
2 3 1
3 1 2
0 1 2
3 2 0
3 1 1
1 3 1
10 5
0 0 0
0 0 2
2 2 0
1 2 0
0 2 2
2 2 1
0 1 1
1 0 0
0 2 1
2 1 0
10 7
0 0 0
1 1 0
2 2 0
1 0 1
1 2 0
0 2 2
2 1 2
0 0 1
0 2 1
1 0 0
10 7
2 0 0
0 0 1
0 1 0
1 2 0
1 1 1
1 2 2
1 2 1
1 0 2
1 0 0
2 0 1
10 4
2 0 2
1 1 0
0 0 1
0 0 2
0 1 0
2 0 0
2 0 1
1 2 2
0 0 0
2 1 0
10 5
2 2 0
2 0 0
1 0 2
0 1 1
2 1 0
0 0 0
1 2 2
2 2 1
1 1 2
1 0 1
10 2
0 1 3
2 2 0
3 2 2
0 3 2
2 1 3
1 0 3
0 2 1
0 0 1
1 2 1
3 3 3
10 9
2 2 2
1 1 2
2 2 0
0 0 0
2 1 1
1 2 2
0 1 0
1 2 0
0 2 2
1 0 0
10 6
2 0 3
1 0 3
3 2 1
2 3 1
3 1 0
1 2 0
3 3 3
1 2 3
0 0 1
3 1 2
10 4
1 0 2
2 1 0
0 2 0
0 0 2
2 2 0
0 2 1
2 1 1
1 1 1
0 1 1
1 2 0
10 4
1 2 0
2 2 0
2 0 0
2 1 0
1 0 2
1 1 2
2 1 2
2 1 1
0 0 0
0 0 1
10 2
0 2 2
1 1 2
2 1 0
0 0 2
0 1 1
1 2 2
1 2 0
0 1 2
2 2 2
2 0 1
10 3
2 2 1
1 2 2
2 1 1
0 0 2
1 1 0
2 1 0
2 0 0
2 2 2
0 2 0
2 0 1
10 7
2 2 1
1 2 1
1 1 0
1 1 1
0 2 2
2 0 1
0 1 0
0 0 0
0 1 1
0 2 1
10 8
2 1 0
0 1 2
2 0 1
1 0 1
0 0 0
1 1 1
0 1 1
0 0 1
0 0 2
1 2 2
10 9
3 2 0
0 0 2
1 3 2
0 2 3
1 2 0
1 1 2
2 3 3
0 0 3
1 2 1
1 0 2
10 4
0 1 2
3 1 2
3 2 2
2 1 0
0 2 0
1 3 1
2 1 2
3 2 0
2 2 3
3 2 3
10 3
2 3 2
0 1 0
1 2 3
2 2 0
1 3 1
1 1 0
2 2 3
0 1 1
2 3 1
3 3 1
10 2
2 1 2
1 2 0
2 1 0
1 1 2
2 0 2
2 1 1
0 2 0
2 2 1
1 0 0
1 1 1
10 8
2 0 2
2 0 0
0 0 0
1 2 2
1 2 1
0 0 1
2 1 0
1 2 0
1 1 2
1 0 2
10 6
0 1 1
2 1 0
2 0 3
3 0 2
0 1 3
1 0 3
0 0 1
2 1 2
0 2 3
3 1 0
10 6
0 2 1
0 1 1
1 2 0
1 2 3
3 2 3
1 1 1
2 0 3
2 2 2
3 1 2
0 0 2
10 7
0 0 0
2 0 0
2 3 3
3 2 2
3 3 3
1 1 1
3 0 2
0 0 3
0 2 3
1 0 1
10 2
3 3 1
2 3 3
2 1 3
2 0 2
2 1 0
1 3 2
1 2 3
0 3 3
3 1 1
0 0 1
10 5
1 1 3
0 2 0
1 3 2
1 1 2
3 3 0
1 1 0
2 0 0
0 3 1
2 2 0
0 1 2
10 4
0 2 3
1 1 0
0 1 0
2 1 2
0 1 3
3 2 0
3 1 3
2 3 1
2 3 2
3 1 1
10 2
2 0 2
1 0 2
2 0 1
1 1 0
0 0 2
1 1 1
0 1 0
0 2 0
2 1 1
0 1 2
10 7
1 3 0
3 2 2
1 1 2
3 1 1
1 0 3
2 0 0
2 1 0
0 1 0
1 0 2
0 2 3
10 7
0 0 0
2 0 0
1 2 2
2 1 1
1 2 0
1 2 1
2 1 0
1 1 2
1 0 0
0 0 2
10 4
2 1 2
0 2 1
0 1 1
1 1 0
1 0 1
0 1 0
1 0 2
0 0 0
1 2 0
2 0 1
10 9
0 2 1
0 1 0
0 0 1
0 1 1
0 0 2
1 0 1
0 1 2
2 2 1
0 2 2
0 0 0
10 8
2 2 3
2 2 0
2 3 1
3 1 1
3 1 0
0 3 2
3 3 3
1 1 3
2 1 3
3 3 1
10 9
1 2 2
1 2 0
2 2 1
2 0 1
1 0 1
2 0 2
2 2 0
1 0 0
0 2 2
0 2 0
10 6
1 2 2
2 1 1
0 0 0
1 0 1
2 2 0
2 0 2
2 2 1
2 1 0
1 0 2
0 0 1
10 2
1 1 1
0 0 0
1 0 2
0 1 0
3 2 1
1 0 1
3 1 1
3 1 3
2 2 1
0 1 2
10 4
1 2 2
2 1 2
2 2 2
1 0 2
2 2 1
2 0 1
0 1 0
0 1 2
0 0 1
2 1 1
10 4
0 1 2
1 3 3
1 0 1
0 3 3
1 3 0
2 3 0
0 2 1
0 1 0
1 0 3
1 1 1
10 2
2 2 1
2 0 3
2 0 0
3 3 2
0 0 0
1 3 2
0 0 1
1 3 3
2 2 0
2 1 2
10 4
1 0 2
2 1 1
0 1 0
1 2 2
2 2 2
0 2 1
2 2 0
1 0 0
0 0 2
1 2 0
10 4
0 0 0
2 2 1
1 2 1
1 2 2
0 0 1
0 1 1
2 1 1
2 2 2
2 0 2
0 1 2
10 8
0 2 0
2 1 2
0 2 1
2 0 2
2 0 1
1 0 1
2 0 0
1 2 2
1 0 2
1 1 1
10 8
2 2 2
2 2 0
2 1 0
2 1 2
2 0 0
1 0 0
1 0 1
1 1 2
0 2 2
0 0 2
10 7
1 2 0
3 0 0
1 1 2
2 3 2
3 3 1
3 2 2
3 1 2
1 3 3
0 1 1
0 3 3
10 3
0 1 0
2 0 0
2 0 2
0 2 0
2 1 2
0 0 1
1 1 2
1 2 0
0 1 1
1 0 1
10 4
1 2 0
0 3 2
3 1 1
2 0 0
2 0 1
3 2 3
0 2 3
2 0 2
3 2 1
0 0 1
10 7
2 0 1
2 0 0
0 0 2
1 0 0
1 2 0
2 1 2
1 1 2
1 0 1
2 1 0
2 0 2
10 6
1 1 2
2 2 1
0 0 1
2 1 1
1 0 2
0 2 0
2 2 2
0 1 0
0 0 0
2 1 0
10 3
0 3 2
0 0 0
2 2 2
3 3 2
1 2 2
0 2 2
0 3 0
3 1 3
2 3 1
0 3 1
10 8
1 0 1
2 0 1
2 0 0
1 2 2
2 0 2
0 0 0
0 2 0
1 2 1
0 1 2
2 2 2
10 5
0 0 2
2 2 2
0 2 2
2 1 2
0 0 1
1 1 1
2 1 0
2 0 0
1 1 2
0 0 0
10 6
0 2 0
2 2 1
0 0 3
1 1 3
2 1 0
3 1 1
0 0 2
3 0 0
2 3 2
1 2 1
10 7
1 0 1
1 1 3
3 0 1
1 3 1
0 2 2
1 2 0
2 1 3
0 1 0
1 3 0
1 2 1
10 8
1 0 3
1 1 2
0 2 3
2 3 1
1 3 0
3 3 2
2 1 2
1 2 2
3 0 3
3 0 2
10 4
2 3 0
2 1 0
3 3 3
1 3 0
1 0 3
0 0 1
0 0 3
1 3 2
1 1 2
0 2 1
10 9
0 2 2
1 0 0
0 1 0
1 2 2
2 0 0
2 2 0
0 2 0
2 2 1
0 0 1
2 1 0
10 2
1 3 0
2 0 3
3 0 0
1 3 2
3 0 2
3 1 0
1 3 1
0 1 3
2 3 1
2 1 1
10 3
0 0 0
2 1 1
0 3 1
3 0 3
1 2 3
1 2 0
0 3 3
2 0 0
0 1 3
2 2 2
10 5
0 1 0
2 3 0
0 1 1
3 0 3
1 1 0
0 0 0
0 3 3
1 1 2
2 2 2
3 2 3
10 8
3 0 2
0 1 2
1 3 1
2 1 2
3 2 3
3 0 1
0 2 0
2 2 3
0 3 3
2 2 0
10 4
1 1 0
0 0 1
0 2 0
2 2 1
0 2 2
2 1 1
1 2 1
2 1 2
2 1 0
2 2 2
10 9
1 3 3
3 1 2
3 2 3
3 2 2
0 2 0
0 3 0
3 0 0
0 1 3
3 3 3
0 1 1
10 7
0 2 2
0 0 2
1 0 0
1 1 1
0 0 0
1 2 1
2 0 2
2 1 2
0 1 2
2 2 1
10 8
2 0 2
0 0 2
2 0 1
2 2 1
2 2 0
0 0 0
2 1 0
0 2 0
2 2 2
1 1 0
10 6
2 1 0
1 1 2
0 1 2
2 2 2
0 2 0
1 2 1
1 1 1
2 2 0
1 1 0
0 1 0
10 4
0 1 0
2 2 0
2 2 1
1 2 2
0 2 0
2 0 2
1 0 1
0 0 1
1 1 0
2 1 1
10 7
0 3 1
1 3 3
0 0 0
2 3 3
0 0 2
2 0 0
2 0 3
0 2 0
0 1 1
2 2 0
10 8
0 0 2
0 0 1
3 0 1
2 3 3
3 0 0
2 1 0
0 2 0
1 1 0
1 3 0
2 1 3
10 3
1 2 0
1 1 0
2 2 1
2 1 2
1 0 0
2 1 0
2 0 2
0 1 2
1 1 1
0 0 0
10 7
3 0 0
3 2 2
1 3 1
1 2 1
0 3 0
0 1 2
3 0 3
2 2 1
2 0 2
1 3 3
10 7
2 0 2
1 1 0
3 1 3
0 1 2
1 3 3
1 0 0
3 3 0
1 1 2
0 2 0
2 2 0
10 9
2 0 1
2 1 2
1 2 1
0 0 2
1 2 2
0 1 1
0 1 2
2 2 1
2 0 2
1 0 0
10 7
1 1 2
3 2 1
0 0 3
1 2 2
3 3 3
3 1 3
2 2 3
1 2 0
3 3 0
1 1 1
10 6
2 3 1
2 1 0
1 0 2
1 3 3
1 3 0
0 2 2
1 1 1
3 3 3
3 2 3
3 0 1
10 2
1 2 1
1 3 2
0 0 0
1 3 3
0 2 3
0 2 1
0 2 0
3 3 3
0 3 2
3 1 3
10 4
0 2 2
2 1 2
1 0 0
0 2 1
2 2 1
2 0 0
2 0 2
0 1 2
2 2 2
1 2 2
10 5
0 1 1
2 3 1
0 2 0
0 0 2
2 3 3
1 0 0
0 0 3
3 1 3
1 1 3
0 0 0
10 7
0 1 0
0 3 3
3 1 0
3 0 0
0 0 1
3 2 0
0 0 0
3 3 2
2 0 0
0 0 3
10 4
3 2 1
3 1 0
2 0 3
2 3 0
1 0 1
0 1 0
1 1 1
2 0 0
2 1 0
3 2 2
10 2
0 0 2
2 1 2
1 2 0
0 1 0
3 2 1
3 1 0
3 2 3
1 0 0
0 0 0
3 1 2
10 9
2 1 1
1 2 1
0 2 2
0 0 0
1 2 2
2 0 0
0 1 2
1 1 1
1 1 2
2 1 2
10 3
1 0 2
1 2 1
1 2 0
2 0 0
2 0 2
1 2 2
1 0 1
0 1 1
2 2 0
0 2 2
10 2
2 2 1
1 0 1
1 0 0
2 2 2
0 2 0
2 1 0
1 2 0
0 0 2
0 2 1
2 0 2
10 3
2 0 2
2 1 1
2 0 1
3 3 3
2 3 3
1 3 1
3 0 0
2 1 2
1 1 0
0 0 0
10 5
0 0 1
2 0 0
2 3 2
0 2 2
1 0 3
2 2 2
3 3 1
2 2 1
2 3 0
1 1 2
10 6
0 1 2
3 2 0
3 2 1
3 3 1
0 2 3
3 1 2
3 3 0
1 3 0
1 0 2
1 2 1
10 5
2 2 2
1 0 0
0 2 0
2 1 0
1 2 0
2 2 1
2 0 2
1 1 0
0 1 1
1 1 2
10 3
3 2 3
3 2 1
1 0 1
0 3 0
2 0 2
3 3 3
3 3 1
2 0 1
3 0 1
0 0 0
10 3
1 2 0
0 2 1
1 2 2
2 0 2
1 0 0
0 1 0
0 2 0
2 0 0
1 1 0
2 1 0
10 7
2 2 0
0 0 0
0 3 0
0 1 0
0 2 1
1 2 2
3 1 0
1 3 2
2 1 3
1 0 0
10 6
1 2 1
0 0 2
3 1 1
1 3 1
2 2 2
1 3 3
2 2 3
0 3 2
0 1 3
3 0 3
10 3
2 0 2
1 1 2
1 1 1
2 1 2
2 1 0
2 2 1
0 0 0
0 0 1
0 2 0
1 0 2
10 9
2 1 0
0 1 3
2 0 3
3 3 2
3 0 3
2 3 0
3 3 0
2 0 1
3 3 3
1 3 0
10 7
0 3 1
3 0 2
1 0 1
0 0 3
1 2 2
0 1 3
2 0 1
3 3 1
2 2 0
3 3 2
10 5
3 0 0
0 2 3
1 2 3
0 3 3
2 1 2
1 2 1
2 2 0
2 2 3
0 2 0
0 1 2
10 8
1 0 2
1 0 1
1 2 1
0 2 0
2 0 2
0 1 0
0 0 1
2 2 2
2 1 2
1 1 2
10 3
2 0 0
2 0 1
1 1 1
1 0 0
2 2 1
0 1 0
0 0 2
1 2 0
1 2 1
0 2 0
10 2
3 3 2
3 0 3
3 3 1
2 3 1
1 2 1
3 2 0
0 1 2
1 2 3
2 0 2
0 0 3
10 6
1 1 3
0 0 1
0 0 0
0 3 0
3 3 3
1 2 0
1 3 0
3 2 1
0 2 3
2 3 2
10 3
1 2 1
2 1 0
1 1 0
1 0 2
2 0 0
0 1 1
2 2 2
0 0 1
1 2 2
1 1 1
10 9
1 0 2
0 2 2
0 0 0
2 2 0
1 1 0
0 0 2
1 1 1
1 2 0
0 1 1
0 1 0
10 5
3 2 0
0 2 3
2 0 3
0 3 0
2 1 3
3 1 1
1 0 0
2 1 0
2 0 0
0 2 1
10 4
0 2 1
2 2 0
1 2 1
0 1 2
2 1 1
0 0 2
0 1 1
2 2 1
0 0 1
0 2 2
10 3
3 3 2
0 1 1
3 3 3
2 3 1
3 3 1
0 3 3
1 0 2
3 3 0
0 0 3
0 3 0
10 2
0 2 2
2 2 2
2 0 2
2 2 0
0 1 1
0 0 2
1 1 2
1 1 0
0 0 1
0 1 0
10 3
1 3 1
1 0 2
1 1 3
1 0 0
0 3 0
2 3 2
3 1 3
2 1 0
1 2 2
3 0 3
10 8
1 1 1
2 1 1
1 2 2
2 2 2
2 1 2
2 0 1
1 2 0
1 0 0
2 0 0
0 2 0
10 9
0 1 0
1 0 2
2 0 2
1 1 2
1 2 1
0 1 2
0 1 1
0 2 2
2 1 2
1 0 1
10 3
3 2 0
3 3 1
0 2 0
3 3 3
2 0 0
3 1 3
1 0 2
1 3 0
3 0 3
3 2 1
10 2
2 1 2
0 2 0
0 1 3
0 0 1
1 0 0
0 0 0
2 1 0
3 1 1
3 3 3
0 1 1
10 8
1 1 2
1 1 1
0 0 2
0 1 1
2 1 2
2 2 0
2 1 1
0 2 1
1 0 0
1 1 0
10 6
0 0 3
1 0 1
0 1 3
2 1 3
3 0 3
1 1 2
3 1 2
1 1 1
3 2 1
3 2 3
10 7
1 2 0
2 1 0
1 0 0
0 1 0
2 0 2
0 2 2
0 0 0
0 0 2
2 0 0
2 1 2
10 4
0 0 0
2 2 2
2 0 1
1 0 2
2 1 0
1 1 2
2 1 2
2 2 1
1 2 0
1 0 0
10 5
3 3 2
0 0 3
1 2 1
0 2 0
3 2 2
0 3 0
0 0 1
2 3 3
1 0 2
2 3 1
10 7
0 3 2
2 2 2
1 3 1
2 2 0
2 3 0
1 3 0
0 1 0
0 0 1
3 2 2
2 3 3
10 8
1 2 0
0 0 0
1 0 1
2 0 1
2 0 2
2 1 1
0 1 1
2 2 1
2 2 2
1 0 0
10 3
3 1 2
0 0 1
2 3 2
1 1 3
2 0 3
0 2 2
3 1 1
3 2 0
1 2 2
2 2 0
10 7
0 3 0
1 3 3
3 3 1
3 0 3
2 1 2
1 2 0
0 2 3
3 0 1
2 3 3
0 3 2
10 6
2 0 2
0 2 0
0 2 1
1 1 2
1 1 1
2 2 0
2 2 1
0 2 2
1 2 2
1 2 1
10 5
2 1 0
1 0 0
2 2 1
2 1 1
2 2 2
2 0 1
1 2 2
2 2 0
1 1 2
0 0 1
10 5
1 1 0
1 2 1
1 0 0
0 1 0
0 0 1
2 1 0
2 1 2
1 0 1
0 2 0
0 0 2
10 9
2 1 1
0 0 2
0 2 0
2 2 2
2 0 1
0 0 0
2 1 2
0 1 0
1 2 1
1 0 1
10 9
2 3 2
0 0 2
3 3 2
0 3 3
2 2 2
2 0 1
3 0 0
2 3 3
3 3 0
0 3 0
10 9
2 1 1
2 2 1
2 0 1
1 2 0
2 2 2
1 1 0
2 0 0
0 2 2
2 0 2
1 2 2
10 9
0 3 0
1 3 0
2 3 1
2 2 3
2 0 0
1 3 3
0 2 0
3 0 2
2 3 3
1 3 1
10 2
0 0 2
1 1 0
1 1 2
1 2 1
2 0 1
1 2 2
1 0 0
2 1 1
1 2 0
2 2 0
10 6
3 3 3
3 2 2
0 2 3
0 2 1
0 0 1
3 3 1
2 3 1
1 2 3
3 0 0
0 2 0
10 2
1 3 3
1 2 1
3 3 0
0 2 2
2 1 3
3 0 0
0 1 3
3 2 3
2 0 3
0 1 1
10 3
2 0 1
0 2 0
2 1 0
1 1 1
0 0 0
0 2 2
1 2 2
1 2 0
2 1 2
0 1 0
10 8
3 3 2
2 3 1
0 1 3
0 0 1
1 2 1
2 1 0
1 3 0
3 0 1
1 1 2
2 2 0
10 9
0 3 2
3 3 0
2 1 3
3 0 0
1 0 3
3 1 2
3 3 1
1 2 3
0 0 2
2 1 1
10 3
1 0 2
0 0 1
1 1 1
2 1 0
2 2 1
0 2 2
0 0 0
1 0 1
0 1 2
1 1 2
10 9
1 1 1
1 2 2
0 2 1
1 1 0
2 0 1
0 0 2
0 1 0
1 1 2
0 0 1
1 0 2
10 2
0 1 2
3 1 0
3 0 2
3 3 1
2 0 1
0 1 0
3 2 0
0 3 2
0 1 1
2 1 0
10 9
0 1 2
2 1 1
2 3 3
0 3 2
0 0 0
3 3 3
3 2 1
3 0 1
2 2 1
0 2 1
10 9
1 0 1
0 1 1
2 0 2
2 0 0
0 0 2
0 1 0
2 1 2
0 0 0
1 0 0
1 1 2
10 3
1 0 2
0 1 3
2 3 2
2 0 3
3 0 2
0 2 0
0 0 2
3 0 3
2 1 3
2 2 2
10 3
2 0 2
1 2 0
0 0 1
2 1 0
1 0 1
1 2 2
2 0 1
2 0 0
1 0 2
0 0 0
10 8
0 0 1
2 1 0
0 2 2
0 2 0
2 0 2
2 2 2
1 1 2
1 0 1
2 1 2
1 1 0
10 9
1 3 3
2 2 0
3 1 3
3 0 2
1 1 2
3 0 3
3 3 3
0 1 2
2 1 0
1 3 1
10 4
1 1 0
0 2 1
0 2 0
2 2 0
0 0 0
2 1 2
2 0 1
1 2 0
1 0 2
1 1 1
10 2
0 1 3
2 2 1
2 1 3
1 1 3
2 1 2
3 3 2
1 1 2
0 1 2
2 0 1
2 1 1
10 3
2 2 1
1 1 1
1 2 1
2 0 2
1 1 0
2 1 2
0 0 2
1 0 2
0 2 0
1 2 0
10 4
1 2 1
2 0 0
2 2 2
0 0 2
2 0 1
0 0 1
2 2 1
1 1 0
2 1 1
0 1 1
10 7
1 0 3
2 1 1
1 2 0
2 0 2
0 0 3
0 2 3
3 1 3
1 0 2
2 2 0
1 3 1
10 2
1 2 1
1 0 1
1 0 0
0 2 2
0 1 0
2 2 2
2 2 1
2 0 1
2 1 1
0 0 2
10 7
0 1 2
3 2 2
0 3 1
1 3 3
2 2 1
0 1 0
1 3 1
2 0 0
1 1 2
0 2 3
10 3
2 0 0
0 0 0
1 1 2
2 1 2
1 2 0
1 2 1
2 1 0
1 1 0
1 2 2
2 0 1
10 8
3 2 0
2 3 3
1 1 1
0 3 2
2 0 2
0 3 3
3 2 1
2 0 3
3 2 3
1 3 1
10 8
0 1 1
1 1 2
2 0 1
1 0 2
2 1 1
0 2 1
0 1 2
0 2 0
2 2 1
1 2 1
10 5
0 2 2
2 2 1
0 1 2
2 1 2
1 0 0
0 2 0
1 0 1
2 0 2
2 0 0
2 1 1
10 6
1 2 1
2 2 0
2 2 1
0 0 1
1 2 2
1 0 0
0 0 2
2 1 0
0 1 0
0 1 1
10 6
2 1 0
1 0 0
0 0 2
1 2 2
1 1 1
2 2 1
2 0 2
1 2 0
1 0 2
0 2 1
10 6
0 0 1
1 0 1
2 2 2
0 2 0
1 1 0
0 2 2
0 1 1
2 0 1
0 1 0
1 0 2
10 5
3 1 0
3 0 0
1 2 0
1 1 3
2 3 1
3 1 1
3 3 2
0 2 1
2 2 3
2 3 2
10 2
0 1 2
3 0 1
3 0 0
3 0 2
0 1 1
1 0 1
0 2 0
0 0 2
0 2 1
1 2 0
10 5
0 1 0
2 1 2
0 1 2
0 0 2
1 2 2
1 2 1
1 0 2
2 2 0
0 1 1
2 0 2
10 3
0 1 2
0 1 1
2 2 0
2 0 0
0 2 1
2 0 2
1 2 2
0 0 2
2 1 2
1 0 1
10 7
3 0 0
1 2 1
3 1 1
1 1 3
3 0 3
3 3 1
2 3 0
2 3 1
3 0 1
2 1 1
10 4
1 3 2
1 0 3
0 3 2
2 0 1
1 1 2
2 3 2
3 1 3
3 3 1
1 1 3
3 1 2
10 8
2 2 1
1 3 1
3 0 0
1 3 2
0 1 2
2 0 1
2 0 2
1 3 3
3 0 2
3 0 3
10 4
0 0 0
1 2 1
2 2 2
0 0 1
0 1 2
2 0 0
1 0 1
1 2 2
0 0 2
1 1 0
10 6
3 2 1
0 0 2
3 1 0
0 1 2
0 1 0
2 2 2
0 3 1
1 1 3
1 1 1
3 1 1
10 3
1 1 2
2 3 1
2 3 0
1 2 3
0 3 0
3 0 3
1 3 1
3 2 3
0 1 3
0 3 1
10 5
0 2 2
1 1 0
2 2 2
0 1 2
2 2 0
1 0 0
2 1 1
0 2 0
1 0 1
0 2 1
10 6
3 3 3
1 0 1
0 0 3
0 2 1
1 3 2
1 3 1
0 1 3
0 1 1
2 0 0
1 0 2
10 8
2 2 0
2 0 2
0 1 2
1 0 2
0 2 1
1 1 0
2 1 0
1 0 0
0 0 2
2 1 2
10 5
0 1 2
1 0 2
1 2 3
1 3 3
0 3 1
3 2 3
0 0 0
2 3 1
3 2 0
0 3 0
10 3
0 1 2
1 0 1
0 3 3
2 1 1
0 1 1
3 3 2
1 2 2
2 2 3
0 2 3
2 0 3
10 8
2 3 3
1 3 2
3 2 2
1 1 3
1 2 0
1 3 1
3 2 3
3 2 0
0 0 0
3 3 2
10 8
2 0 3
0 0 2
3 2 3
2 0 0
1 1 3
3 0 0
2 3 0
3 2 2
1 1 0
2 2 0
10 2
1 2 2
0 1 1
2 2 2
1 2 0
2 2 1
1 1 0
0 2 2
2 1 2
1 1 2
1 2 1
10 2
1 3 2
1 1 1
2 3 0
3 2 1
0 0 3
3 1 0
1 1 3
2 3 3
2 1 1
0 0 0
10 4
0 1 1
3 2 0
2 0 2
2 0 3
0 0 3
3 3 1
0 1 2
3 1 2
0 2 3
1 0 1
10 4
0 2 2
0 0 0
2 0 2
1 0 1
2 0 0
2 1 0
0 1 0
0 1 2
2 2 2
2 1 1
10 2
1 3 0
1 2 0
3 2 2
0 2 3
2 3 1
0 2 2
2 0 1
0 3 3
3 2 1
3 2 3
10 2
0 1 2
2 1 2
1 1 3
1 2 0
3 0 3
1 0 3
3 0 0
1 3 0
0 3 1
1 1 1
10 6
1 1 0
0 1 1
0 2 1
2 0 2
1 1 2
1 2 2
0 1 2
2 2 1
1 2 1
1 2 0
10 3
0 2 0
0 2 2
1 2 2
0 0 0
2 1 1
2 0 0
1 0 2
2 0 1
1 2 0
0 0 1
10 4
0 0 1
1 0 2
0 0 2
1 0 1
2 0 0
2 2 2
1 1 0
0 1 2
0 0 0
2 1 2
10 2
1 0 0
0 1 1
2 1 0
2 2 1
0 0 2
1 1 1
2 0 0
2 0 1
0 2 1
1 2 2
10 8
0 1 2
0 2 0
1 2 1
1 1 2
1 1 0
2 0 2
0 0 0
0 2 2
2 2 2
2 1 1
10 8
1 2 0
2 0 0
0 1 2
1 0 0
0 0 0
2 0 2
1 0 1
0 0 1
0 0 2
2 1 2
10 7
3 0 0
3 1 2
1 2 1
2 3 1
0 3 3
0 0 1
3 0 3
3 3 0
1 3 1
1 0 1
10 7
3 0 2
2 2 0
2 1 0
1 3 1
1 3 2
3 0 3
1 0 0
3 1 2
1 0 2
3 2 0
10 4
1 1 1
2 0 1
0 0 0
1 1 0
1 2 1
2 0 2
1 2 0
0 2 0
0 2 1
2 2 2
10 2
3 0 3
0 1 2
1 3 0
0 1 1
2 3 2
1 0 2
3 3 2
0 2 3
3 3 3
3 1 3
10 5
3 0 2
3 2 1
2 1 2
0 2 3
3 3 2
3 0 3
1 1 0
0 0 0
0 3 0
0 0 1
10 5
2 1 1
2 2 2
2 2 1
0 1 1
2 0 1
1 2 2
0 0 2
0 2 2
1 2 1
1 1 2
10 6
1 2 0
0 0 0
1 1 2
0 1 2
1 1 1
2 1 1
2 2 1
1 0 0
1 0 1
1 2 1
10 9
2 2 3
1 3 1
0 2 0
3 3 3
1 0 0
2 0 3
1 2 3
3 3 2
3 3 0
0 3 0
10 5
1 0 0
2 2 1
2 3 1
3 0 1
3 3 2
3 1 2
2 0 0
3 0 0
0 2 3
0 1 2
10 9
0 3 3
3 0 0
2 0 0
0 1 1
2 1 2
2 2 0
2 3 2
1 2 2
3 3 1
2 0 1
10 6
2 0 0
2 0 1
0 1 3
1 0 1
0 3 2
0 0 2
1 1 1
1 1 2
2 2 0
0 0 0
10 7
2 1 1
0 1 1
2 2 0
2 0 0
0 2 1
1 1 1
0 1 0
2 2 1
2 0 2
1 2 2
10 5
2 0 1
0 0 3
1 1 1
2 1 1
3 0 2
0 2 2
2 3 3
2 2 0
3 2 1
1 2 1
10 6
0 1 3
1 2 0
2 2 0
3 1 3
0 0 2
0 2 3
2 3 1
2 1 1
3 3 2
0 1 2
10 6
0 2 0
2 0 1
2 2 2
0 1 1
1 2 2
1 0 2
0 2 2
2 2 1
2 1 0
2 1 1
10 8
0 0 1
0 1 2
1 1 0
2 1 0
0 0 2
0 1 1
2 2 1
2 0 1
1 1 2
0 2 2
10 9
1 2 1
1 0 1
2 1 0
0 1 1
1 1 2
0 2 1
2 1 1
1 0 0
0 1 0
2 2 2
10 5
0 1 2
2 2 0
2 1 1
2 1 0
2 0 1
0 2 2
1 2 2
1 2 1
1 1 2
1 0 0
10 4
2 2 2
0 0 0
2 1 1
0 0 2
1 1 0
1 0 0
0 0 1
1 1 1
0 2 1
1 0 1
10 9
2 3 0
2 1 3
3 1 3
1 1 1
3 3 1
1 1 2
3 2 2
3 0 1
1 2 3
3 3 0
10 9
1 2 0
1 0 3
3 2 0
1 1 0
2 0 1
3 2 1
0 2 3
2 1 0
0 2 1
0 0 0
10 9
1 1 0
1 1 1
0 2 1
1 2 0
0 1 2
2 2 0
2 0 1
2 0 2
1 0 0
2 1 1
10 3
3 3 0
3 0 1
0 1 0
3 0 0
2 0 2
0 0 0
1 2 2
3 2 1
0 1 1
2 0 3
10 8
0 2 2
1 0 0
3 0 1
0 3 1
2 1 3
0 3 3
1 1 2
1 1 3
1 1 1
3 3 2
10 3
0 1 2
0 0 0
1 2 1
1 0 1
1 1 1
2 1 0
1 0 0
0 1 1
2 2 2
0 2 0
10 3
1 2 1
0 1 0
2 0 0
0 0 1
2 0 2
0 1 1
1 2 2
0 2 2
2 0 1
1 1 2
10 4
1 1 0
1 0 0
0 1 2
2 2 2
2 2 0
2 1 1
1 0 1
2 1 0
1 2 1
1 1 1
10 9
0 0 1
2 0 0
1 0 3
1 2 2
1 0 0
1 3 3
0 1 1
2 1 2
3 3 1
3 3 2
10 2
2 2 2
1 1 1
2 0 2
0 2 0
0 0 1
2 1 0
1 2 1
0 1 0
2 0 0
0 2 2
10 9
1 3 3
3 2 3
0 2 2
0 3 2
2 1 3
1 0 0
0 1 0
2 2 2
1 3 1
2 2 0
10 4
0 0 1
0 1 3
1 3 0
0 1 0
1 2 0
2 3 1
1 2 3
3 2 1
0 0 3
2 3 0
10 7
2 1 0
1 2 1
0 2 0
0 2 2
1 2 0
0 1 0
1 0 2
2 2 1
1 1 2
1 0 1
10 2
3 2 3
1 0 3
0 2 3
1 1 2
0 3 1
0 3 0
1 0 2
2 3 0
2 2 1
3 0 1
10 9
0 1 2
1 2 2
0 0 1
1 3 1
3 2 1
1 0 1
0 1 3
2 1 2
2 3 1
2 3 2
10 6
2 1 1
3 3 3
0 3 3
0 1 1
2 3 2
0 0 1
0 0 2
2 2 2
0 3 1
0 2 0
10 3
0 2 0
0 1 2
2 2 0
0 0 2
2 1 0
2 0 0
0 1 0
1 1 1
1 2 0
2 0 1
10 4
3 2 3
2 1 1
0 0 3
1 1 2
2 3 2
0 2 2
0 1 0
1 3 0
1 3 1
3 1 0
10 8
1 0 2
1 2 0
2 2 1
1 1 0
1 2 1
0 2 1
2 0 0
2 0 2
1 1 2
0 1 2
10 3
0 2 3
0 1 3
2 2 3
0 0 3
0 2 0
1 2 3
1 1 1
2 3 2
3 0 3
2 1 3
10 7
1 1 0
2 2 1
0 0 1
2 2 0
0 1 0
2 2 2
1 2 0
0 2 0
0 1 2
1 1 2
10 7
0 1 0
0 2 2
2 1 0
2 0 0
2 2 1
1 1 0
0 0 0
1 2 1
2 1 2
1 0 0
10 3
0 1 1
0 0 2
2 3 1
3 3 1
3 1 2
3 0 2
0 3 3
1 1 1
1 3 0
2 1 3
10 2
1 3 3
1 2 3
2 3 1
2 0 2
2 3 2
1 3 2
1 2 0
3 3 3
3 3 0
0 1 0
10 9
2 2 2
1 2 0
1 1 0
2 1 0
1 1 1
2 0 2
0 0 1
1 2 1
1 0 0
2 1 1
10 2
2 2 0
2 1 1
0 2 2
1 0 1
0 0 0
1 1 1
0 2 1
1 0 2
2 2 1
1 0 0
10 8
2 0 2
0 2 0
1 0 2
0 1 2
1 0 0
2 0 0
2 1 0
0 0 2
0 1 1
2 0 1
10 3
3 0 0
3 1 3
2 1 3
2 3 3
2 1 1
2 0 1
2 3 1
2 3 0
3 2 0
2 0 0
10 8
1 2 2
3 0 1
0 3 3
1 1 3
2 0 0
0 1 2
3 0 0
2 2 1
1 0 0
2 1 3
10 2
3 0 1
0 0 3
2 2 3
2 2 0
0 2 1
3 2 0
0 0 2
3 1 2
1 3 3
0 1 0
10 7
1 0 2
3 2 1
0 3 3
3 1 2
2 1 3
1 2 1
3 3 1
2 3 2
1 0 3
3 3 0
10 9
2 1 1
3 1 1
3 0 1
1 1 3
3 1 3
2 2 1
3 1 0
1 1 0
1 2 3
0 3 2
10 8
2 2 2
3 2 2
0 1 0
3 0 3
0 0 1
0 2 2
1 0 0
1 3 2
2 1 0
2 0 1
10 2
0 2 1
3 3 2
3 2 1
3 0 0
2 1 0
3 0 3
2 1 3
1 0 3
1 0 2
1 0 1
10 7
1 0 3
0 3 0
0 2 0
1 1 0
2 0 2
0 0 2
1 3 0
1 0 0
2 1 0
0 3 2
10 4
0 0 2
0 2 2
1 1 1
1 1 0
2 1 2
0 2 0
1 0 0
1 1 2
1 2 2
2 0 1
10 6
1 1 1
2 1 2
1 2 2
1 0 1
2 1 1
1 0 0
1 1 0
1 0 2
2 0 1
0 1 0
10 7
0 3 3
1 3 1
3 0 3
2 0 0
1 3 2
0 3 0
0 0 2
2 3 3
2 0 1
0 2 1
10 5
1 3 3
2 0 1
1 3 0
3 2 0
3 0 0
1 2 3
3 0 2
3 3 0
1 3 1
0 0 2
10 4
1 2 1
3 1 0
1 0 3
0 1 2
2 1 1
3 3 1
3 2 0
0 2 1
3 0 3
2 2 3
10 5
3 3 0
2 2 1
3 1 3
2 0 2
3 1 0
1 1 0
2 0 3
1 3 0
2 3 0
1 1 3
10 7
0 0 3
2 1 1
2 1 3
0 1 3
2 1 2
2 3 1
1 2 2
0 2 2
3 2 1
3 0 2
10 8
0 1 1
2 3 3
0 0 3
2 1 3
3 3 1
1 0 2
1 1 1
0 2 1
2 1 2
1 3 0
10 7
2 0 2
0 0 0
2 2 1
0 1 0
1 1 2
1 2 0
0 2 2
2 1 2
2 0 1
0 1 1
10 6
2 1 3
0 2 3
2 3 0
2 1 2
0 1 0
2 3 3
2 0 0
1 2 2
1 2 3
1 0 2
10 6
2 2 2
0 1 0
1 1 0
0 1 2
0 2 1
0 2 2
1 1 1
1 1 2
0 0 1
2 0 1
10 7
3 3 0
0 0 1
2 0 3
2 2 3
3 2 3
0 0 0
1 1 2
0 3 2
1 0 1
3 3 1
10 5
1 2 0
3 3 3
0 3 2
2 1 0
1 0 2
0 2 1
3 2 1
3 3 0
0 1 1
1 1 0
10 8
1 2 0
2 2 0
1 1 0
2 0 0
0 2 1
0 0 0
1 2 2
0 0 2
0 1 0
0 1 2
10 4
2 0 1
2 2 0
1 2 1
0 2 1
2 1 1
0 0 0
1 0 0
0 0 2
0 1 0
1 1 1
10 8
0 2 1
2 1 0
3 1 1
3 1 2
0 0 0
2 2 1
3 3 2
0 3 3
0 0 2
3 0 1
10 7
3 3 1
3 1 3
3 0 1
2 2 0
1 3 0
1 0 0
1 1 2
0 0 1
3 3 2
2 0 1
10 5
0 0 3
1 0 2
3 2 0
1 3 3
2 3 3
3 3 2
2 1 1
3 0 3
0 2 3
2 1 3
10 6
0 0 1
0 0 0
1 2 1
0 2 1
2 0 0
2 1 2
0 2 2
2 1 0
0 1 0
0 2 0
10 2
2 1 0
0 2 0
2 1 1
0 0 1
2 2 0
0 0 2
1 0 2
1 2 1
0 1 0
1 1 2
10 8
2 2 3
0 2 3
3 3 0
1 3 1
0 1 3
3 3 1
1 1 3
3 0 0
0 1 1
1 3 2
10 8
3 3 3
0 0 1
3 2 3
0 3 2
3 3 1
0 0 2
0 1 1
2 3 2
2 1 3
2 1 2
10 7
0 1 0
2 0 2
2 1 2
0 1 2
1 2 2
2 1 0
2 2 2
0 1 1
2 2 0
2 1 1
10 5
1 1 2
1 2 1
0 2 0
1 0 2
2 1 1
0 0 1
2 1 2
2 2 1
2 1 0
1 0 0
10 2
2 2 2
0 0 0
0 2 2
2 3 1
1 3 1
3 1 3
3 0 2
2 0 1
1 2 1
2 2 0
10 7
1 1 2
1 1 0
0 1 1
1 0 2
1 1 1
0 0 1
0 0 2
1 2 2
1 0 0
2 1 2
10 4
1 1 0
0 0 0
1 1 2
1 0 2
0 2 2
1 2 0
0 2 1
2 2 1
0 1 2
0 1 0
10 5
1 2 1
2 1 2
0 2 1
1 1 0
0 2 2
1 0 1
2 0 2
0 0 1
2 0 0
1 0 2
10 4
1 2 0
1 2 1
1 1 2
2 0 1
0 2 1
0 1 1
1 0 0
2 2 2
2 1 2
0 1 0
10 4
1 1 3
0 3 2
1 0 0
0 1 0
1 2 0
2 2 1
0 0 1
2 3 2
0 2 1
2 1 1
10 4
0 0 2
0 0 0
2 1 1
2 0 1
2 0 2
0 2 2
1 1 1
1 0 1
1 1 0
0 1 0
10 9
2 2 2
2 1 1
0 2 0
0 1 0
1 2 2
2 0 0
1 1 2
1 1 0
1 1 1
0 1 2
10 6
3 0 0
1 0 1
0 1 1
1 0 3
2 2 1
0 2 3
1 3 3
3 0 3
3 1 3
3 2 3
10 5
0 1 0
1 1 0
1 0 0
1 2 0
0 0 0
2 1 1
0 1 1
0 0 1
1 2 2
1 2 1
10 8
0 0 1
0 1 2
2 2 2
2 1 2
1 0 0
2 1 1
0 2 1
2 2 1
0 2 2
1 0 2
10 6
0 0 0
1 3 0
2 1 0
3 0 3
2 2 2
2 3 2
3 1 3
0 2 3
0 0 2
3 3 3
10 2
1 3 3
1 1 1
0 2 1
0 1 2
2 1 2
3 3 3
1 2 0
3 0 1
2 3 1
2 0 2
10 2
1 0 3
0 0 1
1 3 1
2 1 0
1 2 3
2 0 0
3 1 2
1 2 1
3 2 3
2 1 1
10 2
1 1 0
2 0 0
1 0 2
2 2 1
2 2 0
2 1 2
0 2 1
1 0 1
0 0 0
2 1 0
10 6
3 2 1
0 1 2
3 1 1
3 2 2
1 2 0
3 2 3
0 3 0
3 2 0
1 0 3
2 2 1
10 3
0 2 0
1 2 2
2 1 1
1 2 1
1 2 0
2 1 0
2 2 1
0 2 1
0 0 1
2 0 1
10 9
0 0 1
2 1 1
1 2 2
2 0 1
0 2 1
1 2 0
0 1 1
2 2 2
2 2 1
1 1 2
10 5
2 1 2
2 1 1
2 0 2
1 0 0
0 2 1
0 2 2
0 1 0
0 2 0
2 2 2
0 1 2
10 6
2 0 0
3 2 1
3 3 2
2 1 0
2 3 3
2 3 0
1 3 3
0 1 3
2 2 0
1 0 1
10 6
2 0 0
2 2 1
0 0 1
1 2 1
1 0 0
0 0 0
0 1 1
2 2 2
1 1 0
2 1 1
10 8
1 1 2
0 2 1
1 0 2
2 0 2
0 2 2
1 2 2
2 2 1
2 0 0
2 1 1
0 1 1
10 4
2 1 1
2 2 0
0 0 1
1 0 1
2 2 2
1 2 0
0 1 1
0 2 2
1 2 2
0 1 0
10 2
1 1 1
1 2 1
2 0 0
0 1 1
0 0 0
0 1 0
2 2 0
1 0 2
0 1 2
1 2 0
10 3
1 2 0
0 1 0
0 2 2
2 0 1
1 0 0
1 1 1
0 0 0
1 2 1
1 0 1
1 2 2
10 2
2 1 1
2 1 2
0 2 2
2 1 0
1 1 2
1 1 0
0 0 2
0 2 1
2 0 2
2 0 0
10 4
0 1 1
0 0 2
0 0 3
1 2 1
1 3 0
1 3 1
1 3 2
0 1 3
3 3 1
1 1 3
10 9
2 0 2
0 0 1
3 3 0
0 3 2
1 3 1
1 1 0
3 2 3
1 1 3
2 0 3
0 3 0
10 2
2 0 0
2 2 3
0 3 3
0 2 3
3 0 0
0 2 0
3 2 2
2 2 0
2 3 1
1 3 0
10 5
2 2 2
0 2 1
0 1 0
1 2 0
2 2 0
1 0 2
1 1 0
2 0 1
2 1 1
1 0 1
10 2
1 2 3
0 2 1
1 0 2
2 3 1
3 0 1
3 1 2
0 2 3
1 3 0
3 3 3
3 1 0
10 7
0 2 2
2 0 1
1 0 2
2 2 0
1 2 0
1 2 2
1 1 0
2 0 0
1 1 2
0 0 0
10 3
2 1 2
2 0 0
2 2 2
1 2 1
1 2 2
0 1 2
0 2 2
0 0 0
1 0 2
2 2 0
10 7
0 1 2
2 1 0
0 2 2
0 2 0
2 0 1
0 2 1
2 1 1
0 1 0
2 2 1
1 1 1
10 2
2 1 1
2 0 1
0 0 2
0 0 0
1 0 1
2 0 0
0 0 1
1 2 2
0 2 0
2 2 2
10 9
0 1 0
3 3 3
3 2 3
3 1 1
1 1 2
0 0 2
3 1 2
3 0 1
1 3 1
1 3 2
10 2
1 0 0
1 0 2
1 1 1
2 2 0
2 2 1
2 1 1
2 0 0
0 1 1
1 1 2
0 2 2
10 6
3 0 3
3 3 2
2 2 2
0 1 2
1 3 0
0 3 1
1 1 1
1 0 2
2 1 1
3 0 2
10 7
1 3 3
1 2 1
3 0 1
0 2 2
3 2 1
2 0 3
2 3 1
0 3 1
0 0 1
1 3 1
10 4
2 2 0
2 1 1
0 1 1
2 1 0
0 0 2
2 0 2
1 1 0
0 0 0
0 2 1
2 2 1
10 3
2 2 1
1 2 0
3 1 1
3 2 1
0 2 3
0 3 1
3 3 2
3 2 3
1 1 1
0 0 3
10 4
0 1 0
0 3 3
2 2 3
3 1 1
3 0 1
2 0 0
1 1 2
1 1 1
0 1 1
1 2 3
10 6
3 3 1
0 1 1
3 3 0
2 1 2
3 3 3
0 0 1
1 0 1
1 2 0
3 1 0
2 3 1
10 5
0 0 0
0 2 2
2 0 0
2 1 0
2 0 2
2 1 1
0 1 0
2 2 1
1 0 1
1 2 2
10 5
1 3 2
0 3 1
3 3 0
2 1 3
1 3 1
3 1 1
0 0 2
0 3 2
1 1 2
0 3 0
10 6
2 0 0
1 1 1
0 1 2
0 2 0
1 2 0
2 1 1
1 1 0
0 0 1
0 2 1
2 0 1
10 5
1 3 0
1 3 1
3 1 3
0 0 2
1 0 2
0 1 3
1 2 0
2 1 1
0 2 3
3 0 0
10 2
2 0 1
2 2 1
2 2 0
1 1 0
1 2 2
0 2 2
2 1 1
1 1 1
1 1 2
0 2 0
10 9
3 0 1
0 1 3
2 3 1
3 2 3
1 0 3
2 1 0
0 2 2
0 2 0
1 2 0
2 3 0
10 3
3 1 3
2 1 0
1 2 1
0 1 2
3 2 2
1 0 0
1 1 2
3 0 0
3 0 1
0 0 1
10 2
1 0 1
3 3 0
1 1 1
2 2 3
2 0 0
1 1 3
0 0 2
2 2 1
2 0 3
1 3 3
10 6
1 2 1
2 1 1
2 0 3
0 1 3
0 0 3
1 0 0
2 0 1
0 2 0
3 1 1
0 3 0
10 7
0 2 2
2 2 1
2 0 2
1 1 2
1 0 1
0 1 2
1 1 1
1 2 0
0 0 2
2 0 0
10 3
1 2 0
2 0 0
1 0 2
2 2 0
1 1 1
0 0 2
0 1 1
0 0 0
2 2 1
1 2 2
10 2
0 0 1
0 2 1
0 2 0
3 1 0
1 0 2
0 2 2
2 1 3
1 2 1
2 0 3
3 0 1
10 3
2 1 0
1 2 2
2 0 2
2 1 2
2 0 1
1 2 0
2 2 2
0 2 1
2 1 1
1 1 1
10 6
1 3 1
0 3 0
0 0 1
3 2 2
3 3 2
0 2 1
3 2 3
0 2 2
0 3 3
0 1 2
10 8
1 0 0
1 3 2
1 1 3
1 2 2
3 1 2
1 0 2
2 1 3
3 2 2
3 0 2
2 1 0
10 7
3 1 3
2 3 1
3 0 1
1 2 0
0 1 2
3 3 0
2 1 3
0 1 3
0 3 1
0 3 3
10 8
1 2 2
1 2 3
3 0 3
0 2 3
3 0 0
2 2 2
0 3 2
1 0 2
0 3 1
0 2 1
10 3
0 1 2
1 1 0
1 0 0
0 0 1
1 2 1
2 1 1
1 0 2
1 0 1
2 2 2
1 1 2
10 7
0 2 1
2 2 1
1 2 0
0 0 2
1 0 2
0 0 0
2 2 0
1 0 0
1 0 1
2 1 1
10 4
1 2 0
1 1 1
0 0 2
2 2 2
2 1 0
1 2 1
2 1 2
2 0 2
1 2 2
2 1 1
10 9
0 1 1
2 0 1
0 0 0
2 1 2
1 0 0
1 1 1
1 0 1
0 0 2
2 0 2
2 2 0
10 5
0 0 0
0 1 2
1 0 1
2 2 2
1 0 0
0 2 1
1 1 0
2 0 0
1 1 1
0 1 1
10 4
0 1 3
1 3 0
1 3 2
3 1 2
3 3 2
2 0 3
1 1 1
3 0 3
3 2 2
2 1 0
10 5
1 1 1
1 2 2
2 1 0
2 2 1
1 1 0
2 0 2
1 2 1
1 1 2
2 1 1
2 2 2
10 5
3 3 2
1 3 1
0 3 0
3 1 3
2 3 1
1 1 2
1 0 1
0 0 0
1 0 2
0 3 2
10 3
2 2 1
1 1 0
0 1 1
2 2 0
0 1 2
2 1 2
1 0 1
2 0 2
0 0 0
2 0 1
10 4
1 0 1
2 0 1
0 1 1
1 1 0
0 2 0
1 2 0
1 0 2
2 1 1
2 1 2
2 2 1
10 7
0 2 0
3 2 1
2 0 0
2 2 2
0 0 1
0 1 0
2 1 1
1 0 2
1 3 0
0 2 1
10 5
1 2 0
1 1 0
0 0 1
0 2 1
1 1 1
1 0 2
0 0 2
0 0 0
2 1 2
0 1 2
10 3
1 2 1
0 2 0
1 0 1
2 0 0
2 1 2
1 1 0
1 0 0
1 1 2
2 2 0
0 1 0
10 9
0 0 0
0 0 3
1 2 1
2 0 0
1 3 1
2 3 3
1 3 2
3 3 2
2 1 3
1 1 0
10 2
0 1 2
0 1 0
2 0 1
2 1 0
2 2 2
2 1 2
0 2 1
1 1 2
2 2 0
1 0 0
10 3
3 2 2
3 1 3
1 2 0
2 2 3
3 0 3
0 1 1
0 3 2
3 2 0
1 2 3
0 1 3
10 9
2 2 1
2 1 2
1 2 0
2 2 0
0 1 2
0 0 2
1 1 0
1 0 0
0 0 0
2 1 1
10 5
0 0 3
0 3 2
1 1 3
3 2 0
3 1 0
2 3 0
0 3 3
2 2 1
3 3 3
3 1 2
10 6
1 0 1
2 2 2
0 2 2
0 0 2
2 1 2
2 0 1
1 2 1
2 0 2
0 0 1
1 1 2
10 4
1 1 0
2 2 1
0 2 0
2 0 2
0 0 2
2 0 1
1 1 1
1 1 2
0 1 1
0 0 0
10 4
0 3 1
0 0 3
3 1 0
0 2 1
2 1 0
0 0 2
1 0 3
3 2 0
0 3 0
3 1 2
10 8
2 0 0
1 0 1
1 3 3
2 1 1
0 1 3
1 2 3
1 0 2
1 2 1
1 3 0
1 0 0
10 8
1 0 3
1 3 1
0 3 0
2 3 0
1 1 2
2 1 1
0 0 2
1 2 2
0 2 0
3 3 0
10 3
2 2 1
2 0 2
1 1 2
0 0 1
0 0 2
1 2 2
1 0 2
1 1 0
0 0 0
1 2 1
10 2
2 2 0
1 2 1
0 2 1
2 1 2
2 1 1
2 0 1
1 1 0
0 1 1
2 0 0
1 1 2
10 8
1 0 2
2 1 2
1 0 0
1 2 2
1 2 0
2 2 2
0 1 2
0 2 0
2 0 2
0 0 0
10 8
0 0 2
3 3 2
3 3 0
2 3 3
2 2 2
1 1 3
2 0 2
2 3 2
1 3 1
0 3 1
10 4
1 1 1
2 0 1
0 0 0
2 1 2
0 0 1
2 0 0
1 2 0
0 2 0
1 2 2
1 1 2
10 3
2 0 2
1 1 2
0 0 1
0 0 2
1 0 1
2 1 2
2 1 1
2 2 0
0 1 2
2 2 1
10 8
2 3 0
1 2 3
3 2 3
3 3 0
3 3 3
2 3 1
2 2 1
0 0 3
2 2 0
1 0 2
10 3
3 3 0
0 2 3
0 2 1
0 1 1
2 3 2
3 2 1
3 1 1
0 2 2
3 0 2
1 0 1
10 4
0 0 0
1 1 2
2 2 0
2 0 0
2 0 1
0 1 2
0 2 0
1 0 2
1 1 0
2 1 1
10 9
2 0 0
2 2 3
2 3 3
2 3 1
0 2 1
2 1 3
3 0 0
3 1 3
3 3 0
0 0 3
10 9
2 0 2
0 1 0
0 0 0
1 2 2
1 1 0
0 2 1
0 2 0
2 1 0
1 2 1
1 1 2
10 4
3 0 3
3 1 3
1 3 3
1 1 2
0 2 3
0 0 2
0 2 1
0 0 3
1 2 2
0 0 0
10 5
1 2 1
2 1 1
0 0 1
2 1 2
0 2 1
2 2 1
1 0 1
0 1 2
1 1 0
1 1 2
10 5
2 0 1
2 3 3
0 3 0
1 3 1
0 3 2
1 1 0
1 2 0
1 3 2
0 2 1
3 0 2
10 6
1 2 1
3 1 2
2 1 0
2 3 1
1 0 1
0 2 2
3 1 0
1 0 2
0 0 0
1 0 3
10 4
2 0 1
1 1 0
1 0 1
1 1 2
2 0 2
1 2 1
2 2 2
0 0 1
1 2 2
1 0 0
10 4
0 2 0
0 3 1
0 3 2
2 1 2
0 0 1
3 1 3
2 1 3
2 0 2
1 1 2
3 2 2
10 6
0 2 0
1 1 2
0 0 2
1 2 2
2 1 0
0 1 2
1 0 0
2 1 2
0 0 0
0 0 1
10 8
2 0 0
0 1 0
1 3 1
3 3 2
0 2 3
1 0 2
1 2 1
3 0 1
0 0 0
3 1 0
10 5
2 2 1
2 2 2
1 1 1
0 1 1
2 0 1
1 0 2
1 1 2
1 2 0
2 0 0
1 0 1
10 2
1 2 2
1 1 2
1 2 1
2 2 2
2 0 1
0 2 1
2 1 0
2 1 2
1 0 2
1 0 0
10 9
1 0 0
0 2 2
0 1 1
1 0 1
2 1 0
0 2 1
2 2 0
1 2 1
1 1 2
0 1 0
10 8
1 3 0
1 2 3
3 1 3
2 0 2
3 2 1
1 1 2
1 1 3
1 2 1
3 3 3
2 1 2
10 5
0 2 1
1 1 2
3 1 3
1 0 1
1 1 0
0 1 0
3 0 2
0 3 0
2 1 2
3 2 1
10 4
0 2 1
2 2 2
2 0 1
2 0 0
0 1 0
2 2 0
1 0 2
0 0 0
1 2 1
1 2 0
10 4
2 0 1
0 2 0
2 1 1
1 1 1
1 0 0
1 2 0
2 2 0
0 2 2
1 1 2
2 1 0
10 9
1 0 2
0 1 1
1 1 1
1 2 2
1 2 1
0 2 1
2 2 0
2 0 0
1 2 0
0 0 0
10 4
0 1 2
1 0 0
2 1 1
1 2 1
0 0 0
2 1 2
1 2 2
2 2 0
2 0 0
2 2 1
10 6
0 1 1
2 2 0
0 2 1
1 2 2
2 1 0
1 1 2
2 2 1
0 1 0
0 2 2
1 0 0
10 8
1 0 0
0 3 1
1 0 2
0 3 2
2 3 2
0 1 1
3 2 3
1 1 0
2 3 1
0 2 0
10 8
1 2 3
0 3 0
2 3 0
3 3 0
0 0 3
3 2 0
3 3 1
0 0 1
3 2 1
2 0 0
10 9
2 0 2
2 0 3
0 0 2
1 3 3
1 3 1
3 2 1
1 3 2
1 0 0
3 1 0
2 3 1
10 5
1 0 1
2 1 1
0 1 1
2 1 0
1 3 1
0 1 3
1 2 2
3 0 1
0 1 2
3 2 2
10 4
1 0 0
0 1 2
2 0 1
2 1 2
2 1 0
2 2 1
1 0 2
1 0 1
1 1 2
1 2 0
10 4
1 0 2
2 1 1
2 0 0
0 2 1
2 0 2
2 1 0
0 1 1
0 1 2
1 0 1
1 2 1
10 3
1 1 2
2 2 2
1 0 0
1 0 1
1 1 0
1 2 2
0 1 1
2 2 1
2 1 0
2 0 1
10 2
3 0 2
2 2 2
1 1 2
2 1 0
3 3 0
2 2 1
2 3 0
0 1 2
0 1 1
0 2 0
10 7
0 0 2
1 0 2
2 1 0
2 1 1
1 2 1
0 1 1
2 2 2
0 0 1
0 2 0
0 1 2
10 3
0 2 1
2 2 2
0 0 1
1 2 2
2 1 2
1 1 2
2 0 1
1 1 1
2 2 0
0 2 2
10 4
1 2 2
1 1 2
1 2 0
2 0 2
1 0 2
1 2 1
0 1 2
2 0 1
2 1 0
0 2 1
10 7
1 3 1
2 3 2
1 0 1
1 1 1
3 0 0
0 1 1
1 2 3
0 2 1
0 1 2
0 3 1
10 2
1 1 0
1 0 2
0 3 3
1 0 0
3 2 1
2 1 3
0 1 2
0 2 2
0 1 3
2 0 3
10 9
1 0 3
3 1 0
2 2 2
0 3 1
2 2 3
3 0 3
3 1 2
0 1 3
1 1 1
1 1 3
10 8
1 1 2
0 0 1
1 1 1
0 0 0
1 0 1
1 0 2
0 0 2
1 0 0
2 0 2
2 2 1
10 7
2 0 1
0 2 0
2 1 2
3 1 1
3 2 1
0 2 2
3 3 1
1 3 1
3 3 2
2 3 1
10 5
2 0 2
0 1 0
2 3 0
3 3 2
2 0 0
1 2 2
3 2 0
3 3 1
3 2 1
1 3 0
10 5
1 0 2
3 2 0
1 1 1
0 0 1
1 3 2
2 0 3
1 3 0
1 3 3
3 3 1
2 0 0
10 5
0 2 0
1 2 2
2 0 0
2 2 2
2 2 0
0 2 2
1 0 2
1 1 1
2 2 1
0 0 1
10 4
1 2 2
1 3 2
1 0 0
0 3 0
1 3 0
2 2 2
3 3 3
0 2 2
3 1 2
0 3 2
10 5
1 0 1
2 1 3
2 3 2
1 3 0
0 3 1
1 3 1
1 1 0
1 2 1
1 2 2
0 1 3
10 2
1 2 2
2 0 0
2 2 2
1 1 0
1 0 2
0 2 1
1 1 1
2 0 1
0 0 2
2 2 0
10 8
2 0 0
0 2 2
0 1 1
2 1 1
1 1 2
1 1 0
1 2 1
1 0 1
0 1 2
2 0 1
10 8
2 1 1
3 0 2
0 2 1
0 3 1
0 1 0
2 2 2
3 2 3
2 1 0
2 0 2
3 0 1
10 3
2 0 1
0 0 2
1 0 1
2 0 0
1 1 0
1 1 1
1 2 1
2 1 2
2 2 1
1 0 0
10 4
1 1 0
2 0 2
1 2 2
1 0 1
2 1 2
0 2 1
2 1 1
0 1 1
0 1 0
0 2 2
10 8
2 1 2
0 2 2
0 1 2
2 0 0
2 0 2
1 2 2
0 0 2
1 2 1
2 1 1
0 0 0
10 4
0 1 0
2 1 1
0 2 1
0 0 2
0 2 2
2 1 2
2 0 1
2 2 0
1 0 1
2 0 0
10 5
0 0 2
0 1 0
2 0 2
2 0 0
2 0 1
2 1 2
0 1 1
1 0 0
0 1 2
2 1 0
10 3
0 1 0
0 2 1
1 1 2
2 0 1
0 1 1
2 0 0
1 2 0
0 2 2
0 1 2
1 1 1
10 9
0 2 1
1 2 0
2 1 0
1 2 2
2 2 2
0 0 2
1 2 1
2 0 1
2 2 1
2 0 2
10 4
1 1 1
2 2 1
2 0 0
1 2 1
2 1 1
0 1 1
0 0 1
1 1 2
0 0 2
1 2 2
10 8
2 1 0
2 2 2
2 0 2
1 1 1
1 2 0
1 0 2
1 1 0
2 1 1
2 0 0
2 2 0
10 9
1 1 2
2 2 1
1 2 0
1 0 2
0 1 1
0 0 2
2 2 2
0 2 2
0 1 0
2 1 2
10 4
1 1 2
1 2 1
1 2 2
1 2 0
0 1 2
0 1 1
0 2 2
2 1 2
2 1 1
0 1 0
10 5
0 0 0
2 1 1
0 0 1
1 0 1
2 0 2
0 2 0
0 1 1
0 2 1
1 0 2
0 1 2
10 3
1 1 2
0 2 0
0 2 2
2 1 2
1 0 2
1 0 0
2 1 1
2 0 0
1 2 1
0 0 2
10 7
0 2 3
0 2 2
2 2 2
3 0 0
3 3 2
2 1 2
3 0 2
2 0 1
0 0 0
2 2 3
10 4
1 1 1
2 2 1
2 1 1
0 1 0
0 0 0
1 2 2
2 1 0
0 1 1
1 1 0
1 1 2
10 5
0 2 1
0 2 0
1 1 0
2 2 2
0 1 1
1 2 2
1 1 1
2 0 1
0 1 0
2 2 1
10 9
0 0 1
0 0 0
1 0 0
2 0 0
1 1 2
0 2 1
0 2 2
2 2 1
2 2 0
2 1 0
10 6
2 2 0
2 1 1
2 1 0
2 1 2
0 2 1
0 1 0
0 2 2
0 0 0
1 2 1
2 2 1
10 7
1 2 2
2 0 1
2 1 0
1 0 1
0 1 2
1 0 2
2 1 2
2 1 1
1 1 0
1 1 2
10 9
0 0 2
1 0 0
0 2 2
0 1 0
2 0 1
1 0 1
2 1 0
0 0 1
2 2 1
0 1 1
10 3
1 1 0
0 2 2
2 1 0
2 0 2
2 1 1
1 2 1
2 0 0
0 1 1
2 2 1
1 0 1
10 5
1 1 3
2 1 2
0 0 0
0 1 1
2 1 1
0 1 2
1 1 0
3 2 2
2 0 2
3 2 0
10 5
0 3 0
0 1 1
2 2 2
2 2 1
0 1 3
0 3 3
0 1 0
2 0 3
3 2 1
3 1 2
10 3
2 2 2
0 2 2
0 1 2
2 1 2
1 2 0
2 2 1
2 0 1
2 0 0
1 2 2
2 0 2
10 6
0 0 1
0 1 1
1 0 2
2 1 1
1 2 0
2 2 0
0 1 0
1 1 1
1 1 2
1 1 0
10 6
3 3 0
3 1 0
3 0 1
2 0 2
0 2 0
3 0 3
2 1 3
0 1 0
2 3 0
1 3 2
10 7
2 1 2
0 1 1
0 0 1
2 1 1
0 2 0
0 0 0
1 1 0
1 2 0
1 1 1
2 2 0
10 5
0 1 3
1 3 3
1 2 1
3 2 0
3 1 1
0 0 3
3 2 1
1 3 0
3 2 3
1 0 2
10 7
0 1 3
1 2 3
3 2 0
1 0 2
0 2 1
1 1 0
0 0 2
1 3 1
3 2 1
2 1 0
10 8
2 2 0
1 2 0
1 1 2
2 2 2
0 0 0
0 1 1
0 0 2
2 0 1
0 1 2
2 1 2
10 7
1 1 1
2 0 0
1 0 1
2 2 0
1 0 0
2 2 1
2 2 2
0 2 2
2 1 1
0 1 1
10 6
0 3 0
2 2 1
1 1 3
2 0 2
3 1 3
1 3 2
0 0 0
2 3 1
0 2 0
2 2 3
10 2
2 3 1
3 1 2
2 1 0
1 3 1
0 2 1
3 3 3
1 1 3
0 3 1
1 2 0
3 1 1
10 4
3 1 0
3 1 1
0 2 2
1 0 1
0 1 0
3 0 3
0 1 3
3 3 2
2 3 2
1 2 2
10 7
2 2 0
0 0 1
2 1 2
2 0 0
2 0 1
1 1 1
1 1 2
0 1 0
1 0 0
0 0 2
10 5
1 3 3
0 0 1
3 2 2
0 2 3
0 1 3
0 0 0
1 2 2
1 0 3
0 2 2
3 3 0
10 7
0 2 0
2 1 1
2 0 0
0 2 2
2 1 0
1 0 2
1 1 0
0 0 0
0 1 1
1 0 1
10 2
2 3 1
0 2 2
2 1 3
0 2 3
2 2 2
0 0 2
0 1 0
0 2 0
3 3 3
3 3 2
10 7
1 2 1
0 0 2
0 0 0
3 3 3
0 3 0
3 3 0
1 0 2
3 0 0
1 2 0
2 3 0
10 7
2 1 2
0 1 2
1 2 0
2 0 0
0 2 0
2 2 0
0 1 1
0 1 0
0 0 2
2 2 1
10 5
0 2 0
0 1 2
1 2 0
2 2 0
2 0 0
2 1 0
2 0 2
0 1 0
1 2 2
2 1 1
10 6
1 1 1
0 0 1
0 2 0
2 1 0
1 2 0
0 2 2
2 2 2
1 2 1
0 1 0
2 1 2
10 6
1 0 3
3 2 0
2 1 0
1 2 0
0 2 3
2 1 1
3 0 3
1 2 3
3 0 0
1 3 1
10 9
3 0 0
1 2 3
1 0 2
3 2 3
2 2 3
1 1 1
2 3 2
0 2 1
1 3 0
2 1 0
10 9
1 1 2
3 3 2
2 1 0
0 1 1
1 0 0
0 3 2
2 0 1
2 0 3
2 2 3
2 1 1
10 6
1 3 2
1 2 3
2 1 3
1 2 1
2 3 0
1 1 3
0 0 2
3 2 0
2 2 1
2 1 1
10 8
2 1 2
1 2 1
2 0 1
2 0 2
1 1 0
2 2 1
1 0 2
0 2 0
1 2 2
1 0 1
10 9
0 1 2
0 2 1
2 1 3
3 3 1
3 1 3
1 1 2
2 0 0
2 0 3
0 1 1
2 2 2
10 8
0 0 0
0 2 0
2 2 2
1 1 1
2 1 1
1 0 0
2 2 0
2 2 1
1 2 0
1 1 0
10 3
3 2 1
1 0 3
0 2 3
0 0 1
3 0 0
2 1 1
3 1 0
3 3 2
0 3 3
3 1 2
10 8
2 1 0
0 1 1
2 1 1
0 1 0
0 2 1
1 0 1
1 2 2
0 1 2
0 0 2
1 2 1
10 9
0 1 0
2 2 2
0 2 2
1 2 0
2 1 0
2 0 2
0 1 1
0 0 0
0 0 1
2 2 0
10 2
0 3 1
1 1 1
3 2 2
1 0 2
2 2 1
3 0 1
3 1 3
2 1 3
0 3 0
0 1 1
10 3
1 2 0
0 0 2
0 1 1
0 2 2
2 1 1
2 1 0
1 2 1
1 0 0
2 2 1
1 0 2
10 7
0 0 0
1 1 0
0 2 0
2 1 0
3 1 0
3 3 1
2 2 2
3 2 0
1 2 3
1 1 2
10 4
0 0 1
0 0 2
2 1 1
1 2 0
2 1 2
0 1 1
0 1 2
2 0 1
1 2 2
2 2 2
10 2
1 0 1
0 2 2
0 1 0
0 2 1
0 1 2
0 0 2
2 1 0
0 0 0
2 1 1
1 1 0
10 6
1 0 0
2 2 0
0 1 3
2 1 1
1 2 2
0 3 1
1 1 3
0 2 0
3 3 0
3 0 1
10 5
0 0 3
3 0 0
1 1 3
1 2 3
2 3 0
1 0 0
1 2 1
0 2 2
1 1 2
1 3 0
10 9
2 2 0
1 0 0
1 1 2
1 2 2
0 0 0
2 2 2
2 1 1
2 0 0
1 0 1
0 0 2
10 9
1 0 1
1 2 2
2 0 2
2 1 2
0 1 0
2 2 0
0 2 2
0 0 0
0 0 2
0 1 1
10 3
1 2 2
2 2 1
2 2 0
2 1 1
2 0 0
2 1 2
2 0 2
2 1 0
0 1 2
1 1 2
10 8
2 1 1
1 1 1
1 1 0
0 2 1
2 2 2
0 0 0
1 2 1
1 0 2
0 2 2
1 2 0
10 2
0 1 1
1 0 1
1 1 0
1 0 0
2 1 0
0 2 2
0 0 0
1 2 1
1 2 0
2 0 2
10 5
0 2 2
2 2 0
0 0 1
2 2 2
2 0 0
2 1 2
2 1 1
1 0 2
1 1 2
2 2 1
10 3
1 0 2
0 2 1
0 2 2
2 1 2
1 0 1
1 0 0
0 2 0
1 2 2
1 2 0
2 1 1
10 6
0 1 3
3 0 3
1 0 0
2 0 2
0 0 3
0 1 0
3 3 2
0 3 0
2 3 0
3 1 1
10 2
1 0 0
2 1 1
3 1 3
1 3 0
2 2 0
2 1 2
3 0 2
2 2 1
3 3 3
2 2 2
10 6
1 0 1
0 0 1
0 2 0
0 2 2
2 2 2
1 1 2
2 2 1
0 1 2
1 2 1
2 1 2
10 5
2 0 0
2 1 2
2 1 1
1 0 2
1 1 1
2 2 2
0 0 2
0 2 0
0 0 1
2 2 1
10 7
1 1 3
3 0 0
1 2 0
1 3 0
3 3 1
1 3 3
2 3 2
3 2 2
1 0 1
1 0 0
10 7
1 2 1
3 0 3
0 3 3
1 2 0
0 2 0
0 1 1
1 1 0
2 1 2
2 0 3
3 0 2
10 7
1 2 0
1 0 2
1 2 1
2 1 1
0 1 1
1 0 0
2 1 0
0 0 0
2 2 1
2 0 1
10 5
3 3 3
0 2 1
3 2 3
3 2 1
0 0 3
0 0 1
1 0 2
0 0 2
3 1 1
1 2 2
10 3
3 3 1
1 3 1
3 0 3
2 3 3
1 3 0
3 2 1
3 1 2
1 2 1
1 0 1
0 3 1
10 9
1 1 2
1 2 0
3 1 2
0 0 0
0 2 0
2 0 2
0 1 3
2 1 1
1 3 3
3 1 1
10 7
2 2 3
1 0 0
0 2 3
0 3 2
2 3 2
0 2 1
2 1 0
1 1 1
1 3 1
3 1 3
10 8
3 3 3
3 0 1
0 2 1
2 3 1
1 1 1
0 1 0
3 1 1
0 3 1
0 2 2
3 0 3
10 6
1 2 2
0 2 0
1 1 1
1 2 0
2 2 1
1 0 1
0 1 0
1 1 0
2 1 2
2 2 2
10 7
1 0 0
2 1 2
1 1 1
2 0 2
0 1 0
1 1 2
2 2 0
2 1 1
0 2 1
0 0 1
10 5
0 1 1
1 2 2
2 1 0
0 2 0
2 0 1
0 0 2
3 2 1
0 2 3
3 0 3
0 3 0
10 7
2 2 3
3 3 3
0 2 0
3 2 3
1 3 3
2 0 0
2 3 2
0 2 3
3 2 1
0 3 3
10 3
0 0 0
1 0 0
0 2 1
2 2 2
0 2 2
1 2 2
0 1 1
0 0 1
0 1 0
2 1 2
10 5
2 2 2
2 1 2
1 1 1
1 1 0
2 2 1
1 0 1
2 0 0
0 2 0
1 2 0
1 0 2
10 7
2 1 1
1 2 0
0 0 2
0 2 1
2 2 2
2 1 0
0 0 0
1 2 2
0 2 2
1 0 1
10 7
0 0 0
1 0 3
0 3 3
3 0 1
2 2 2
2 0 0
0 0 2
1 0 2
3 0 3
2 3 2
10 4
0 1 0
0 0 0
1 2 2
0 2 0
2 0 0
0 0 2
1 0 1
2 2 1
0 2 2
0 1 2
10 2
0 1 2
1 2 1
0 2 0
2 2 2
0 2 1
1 2 0
1 0 0
1 2 2
2 0 2
2 0 1
10 9
0 0 2
2 0 2
2 2 2
0 0 1
0 2 0
1 1 1
1 2 2
2 1 0
1 1 2
0 1 0
10 6
1 2 0
0 1 2
0 0 1
2 0 2
1 0 1
2 1 2
1 0 0
0 1 1
1 2 2
2 1 1
10 9
0 1 2
0 0 0
1 0 2
2 1 1
1 2 0
0 2 1
1 1 2
1 2 2
0 2 2
2 0 1
10 4
0 0 1
0 2 1
1 2 2
1 0 0
1 0 3
1 1 0
2 2 3
2 0 1
3 1 2
0 0 3
10 4
0 2 3
2 0 3
3 0 1
2 0 1
1 3 1
2 3 1
0 3 2
2 2 2
0 2 1
3 3 1
10 7
0 2 0
2 1 2
1 2 0
2 0 0
1 0 0
2 2 0
0 0 0
2 0 1
1 2 2
1 0 1
10 7
0 0 3
1 2 2
0 0 2
1 2 3
0 2 3
3 0 0
0 2 1
3 0 1
3 1 0
0 3 0
10 8
1 0 2
0 3 2
0 0 0
1 1 3
3 1 1
0 2 3
3 1 0
1 3 3
3 3 2
3 2 3
10 8
0 1 3
1 3 3
3 3 2
1 2 3
2 0 0
1 0 0
2 2 1
1 3 0
0 2 3
2 0 1
10 9
0 2 2
2 0 2
2 2 2
1 2 2
0 2 1
1 1 0
2 0 0
0 1 2
0 1 0
1 0 1
10 5
0 2 3
2 3 2
1 2 0
0 3 2
1 1 1
1 1 2
2 1 2
3 0 1
2 3 1
1 3 3
10 7
0 2 1
1 2 0
0 0 2
1 1 1
2 0 1
2 2 0
1 1 2
2 2 1
0 2 2
0 1 1
10 8
1 0 1
2 0 0
1 1 0
0 2 2
1 2 2
0 2 1
0 1 0
0 1 2
2 2 0
1 2 1
10 2
1 2 0
0 0 2
2 0 0
0 1 1
1 0 2
0 2 0
2 0 2
1 1 0
2 1 1
1 2 1
10 7
2 0 0
0 3 3
3 2 2
2 2 0
0 1 1
2 1 2
2 3 0
2 1 3
0 2 3
2 1 1
10 4
3 0 0
1 0 3
3 3 3
3 0 2
0 1 1
1 2 3
2 0 2
0 3 2
1 0 2
0 0 0
10 3
2 0 3
0 2 1
1 0 0
0 3 2
1 2 3
0 1 3
1 1 1
0 0 1
1 1 0
1 0 3
10 4
0 1 0
0 0 2
2 2 2
2 2 0
0 3 2
3 2 1
1 0 2
3 2 3
3 1 1
2 2 1
10 4
2 1 1
1 0 2
1 2 0
2 1 2
0 2 0
0 2 2
0 1 0
1 0 0
1 1 2
2 1 0
10 3
2 0 0
0 0 0
0 0 1
1 2 1
2 1 2
2 2 1
2 2 2
1 0 1
0 2 0
0 2 1
10 6
3 1 2
0 0 3
3 0 1
2 1 2
2 0 3
0 3 2
3 3 0
2 3 3
0 2 2
3 3 1
10 6
1 1 2
2 0 2
0 0 1
1 2 0
1 0 0
0 1 2
2 2 2
1 2 1
2 2 0
2 1 0
10 8
0 0 2
1 1 1
2 0 1
1 0 2
1 2 0
0 1 0
1 0 0
0 0 1
2 1 2
1 1 0
10 8
1 0 1
2 1 2
2 1 1
2 2 0
2 2 2
1 1 2
1 2 0
1 2 2
0 2 0
1 0 2
10 8
3 0 2
1 1 2
3 3 3
3 3 2
3 2 2
2 3 3
0 1 1
3 0 1
2 2 2
2 2 1
10 5
0 1 1
1 0 2
1 0 0
2 1 1
2 2 1
1 1 1
0 0 0
2 2 2
1 1 0
0 2 1
10 3
3 1 2
2 0 1
2 1 2
1 2 2
2 2 1
2 3 3
1 1 3
3 1 3
1 3 1
3 0 0
10 7
1 1 0
1 0 1
0 1 1
1 0 2
2 2 1
0 0 2
1 1 2
2 1 0
1 2 2
0 0 1
10 5
2 0 0
1 1 0
2 0 2
1 1 1
2 2 0
2 2 1
0 0 0
1 0 0
0 2 2
2 1 1
10 3
1 1 0
2 2 0
0 2 2
1 2 0
2 0 0
0 0 0
2 1 1
0 1 2
0 2 0
1 0 2
10 8
1 1 2
0 2 3
1 1 1
2 3 0
0 3 3
1 2 3
0 1 2
2 2 3
3 2 2
2 2 0
10 9
2 0 2
0 2 2
0 2 1
2 0 0
0 1 0
2 2 0
1 0 1
2 1 0
1 0 0
1 1 2
10 4
1 2 0
1 2 1
0 2 2
2 2 0
2 0 1
2 0 2
1 2 2
0 1 1
0 2 0
1 1 2
10 7
2 1 2
1 2 1
3 2 3
2 3 3
2 2 1
1 1 3
2 0 3
1 3 1
0 0 1
0 2 0
10 5
2 0 2
1 1 3
1 3 0
0 0 3
2 2 2
3 1 1
2 2 3
0 2 0
0 1 0
1 2 0
10 6
3 2 0
0 0 3
0 3 1
1 2 2
1 2 0
3 2 1
2 1 3
1 2 1
0 3 0
0 2 0
10 4
2 2 0
1 1 1
1 0 0
2 0 0
0 2 1
2 0 2
2 1 2
0 0 2
2 0 1
0 1 0
10 3
3 1 2
0 0 0
2 0 0
3 2 3
2 1 3
3 2 0
3 3 2
3 3 1
0 2 1
2 0 2
10 8
0 2 2
2 1 1
1 2 2
2 0 1
2 1 2
0 2 1
0 0 0
2 0 0
2 2 1
0 0 1
10 4
1 2 1
2 2 0
2 1 3
2 2 1
1 0 1
0 1 2
0 2 0
3 2 0
2 3 0
0 1 3
10 4
3 1 1
3 1 0
0 0 0
0 0 3
2 3 2
0 2 3
1 0 2
2 0 0
1 1 1
1 0 1
10 6
0 0 3
1 3 3
2 2 2
3 2 2
3 1 2
0 2 3
3 0 0
3 3 3
3 2 3
1 1 1
10 6
2 0 3
3 2 0
0 0 2
0 2 1
1 0 1
1 2 3
1 2 2
0 3 1
1 1 2
1 1 3
10 3
1 3 1
0 2 3
1 3 3
2 0 2
2 1 0
0 2 2
0 3 1
1 0 1
3 1 3
3 2 2
10 5
0 1 0
1 1 1
1 2 2
0 0 1
1 0 1
2 0 2
1 0 0
2 1 0
2 2 1
2 2 0
10 8
0 1 1
1 1 1
0 2 2
2 0 1
1 2 0
1 0 2
2 2 1
1 0 1
0 1 0
0 2 1
10 4
1 2 1
0 0 2
0 0 0
2 1 0
0 2 0
2 1 1
2 0 0
0 1 1
0 2 2
1 2 2
10 5
2 3 1
3 0 2
0 3 2
2 0 0
3 2 3
1 2 2
2 1 2
2 3 3
3 1 2
2 0 1
10 9
3 3 1
0 0 1
2 3 2
3 3 3
1 3 3
3 0 0
1 3 2
3 3 0
0 1 1
1 2 3
10 7
2 2 3
1 1 3
2 1 2
3 0 3
0 0 3
1 1 2
1 2 0
2 1 0
2 3 0
2 2 2
10 9
2 1 1
0 1 2
0 0 2
0 1 0
1 2 0
2 2 0
1 0 2
2 2 1
1 1 0
0 2 1
10 4
1 0 0
0 2 1
0 0 1
2 1 1
1 0 1
1 1 2
0 2 0
0 1 0
1 1 0
2 1 0
10 4
1 1 2
3 3 0
2 3 2
1 0 1
2 2 1
0 1 1
1 3 0
3 3 2
0 3 0
3 0 3
10 9
2 0 3
3 2 3
2 0 2
0 1 0
2 3 3
1 3 2
1 2 0
1 2 2
1 3 1
0 0 1
10 4
1 1 2
2 1 0
0 2 0
1 2 0
0 0 1
2 0 0
1 1 1
0 1 0
0 2 2
1 2 2
10 5
0 3 1
1 2 0
2 1 2
3 3 2
3 1 0
1 0 1
3 2 0
3 0 3
2 3 3
1 1 0
10 3
3 1 0
0 3 0
2 1 2
3 3 2
1 3 3
3 2 3
1 1 1
1 2 1
0 3 2
2 1 1
10 8
3 0 2
0 1 0
1 1 3
2 1 2
0 2 1
0 2 0
1 2 1
3 1 2
1 0 3
3 1 0
10 9
1 1 0
1 1 2
3 3 1
3 0 2
2 1 2
0 3 3
3 3 3
3 0 0
0 1 2
1 2 2
10 5
0 0 3
3 2 3
0 1 2
3 1 0
0 1 3
0 2 3
0 1 1
3 2 1
2 0 2
2 2 1
10 8
0 0 2
1 1 0
2 0 1
0 2 1
1 0 2
1 1 1
0 1 2
1 2 2
0 0 0
2 0 0
10 2
1 0 3
0 1 2
1 3 3
0 3 1
0 2 3
0 1 1
1 1 0
2 1 2
0 1 3
0 0 3
10 5
3 1 2
1 3 0
3 2 0
3 1 0
0 0 2
3 3 2
3 1 3
1 3 3
3 2 3
0 0 0
10 9
3 0 0
0 1 0
2 3 2
1 3 1
3 0 2
0 3 2
1 1 0
2 2 0
1 1 2
2 0 0
10 2
2 0 1
1 2 0
1 0 1
2 1 1
0 1 2
2 0 2
2 2 2
0 2 1
0 0 0
0 0 2
10 6
0 1 2
2 2 0
2 1 1
0 2 2
0 1 0
2 2 2
0 2 1
0 1 1
0 2 0
2 2 1
10 7
0 0 1
2 0 1
0 1 0
0 1 2
1 1 2
1 0 0
0 2 0
2 2 2
2 1 0
0 0 0
10 9
1 0 0
3 0 1
0 2 1
3 2 3
1 2 3
0 1 2
0 3 1
0 0 0
3 0 2
2 3 3
10 5
3 3 1
2 3 2
3 0 2
3 1 0
1 3 2
0 0 3
3 2 2
2 2 3
0 0 1
2 2 1
10 8
0 0 2
2 2 0
1 0 0
1 0 2
0 2 0
0 1 1
2 1 0
2 2 1
1 2 2
0 0 1
10 8
0 0 2
2 2 1
1 2 1
0 2 0
0 1 2
1 2 2
0 1 0
0 2 2
1 0 0
2 0 2
10 3
1 0 1
1 1 1
0 0 1
1 0 0
0 0 2
0 0 0
2 0 2
2 2 2
1 1 2
0 1 1
10 3
0 1 1
0 0 1
1 1 1
2 1 1
0 0 2
2 2 1
0 2 2
1 0 1
0 0 0
1 0 0
10 4
3 3 2
1 3 2
1 3 1
0 3 0
1 2 2
0 0 2
0 1 2
3 0 1
2 2 3
0 0 0
10 9
3 3 2
1 1 1
0 2 3
2 3 1
1 2 3
0 1 3
0 1 2
3 2 2
2 1 1
2 2 1
10 5
1 2 1
2 0 0
1 1 2
1 1 0
2 1 2
2 2 2
2 2 0
2 1 1
0 0 2
2 1 0
10 2
2 2 2
1 1 3
2 3 0
2 0 1
3 1 3
2 2 1
2 0 2
0 0 2
0 1 3
2 1 0
10 2
2 1 1
0 2 2
0 0 1
2 2 0
2 0 0
1 1 1
2 2 1
0 2 1
1 2 1
2 1 2
10 2
2 0 1
0 2 1
1 2 0
1 2 1
0 0 1
0 2 0
1 1 1
2 0 0
1 2 2
2 2 2
10 3
1 2 2
1 3 0
1 2 0
3 0 1
0 3 2
2 2 0
3 2 0
0 3 3
1 0 3
3 3 0
10 4
2 1 0
2 2 2
2 0 0
1 2 2
0 1 1
1 0 1
1 1 0
2 1 1
2 2 0
1 0 2
10 3
3 1 2
2 3 1
0 0 0
0 2 2
0 2 1
0 0 1
1 1 3
3 1 3
1 3 0
3 3 0
10 6
3 3 2
1 0 1
0 3 2
3 1 0
0 1 3
3 2 3
2 0 2
2 2 2
1 0 0
2 0 3
10 7
1 0 2
2 0 2
2 1 1
2 1 2
2 2 0
0 1 1
1 1 2
0 0 2
2 0 0
1 2 1
10 6
1 2 0
2 2 0
0 1 1
0 0 2
1 2 2
1 1 0
1 2 1
1 1 2
2 1 2
2 0 2
10 6
2 1 3
3 1 0
0 3 2
1 0 2
2 3 0
1 1 1
2 0 2
0 2 0
2 0 3
1 1 3
10 7
3 1 1
3 0 3
1 1 0
3 2 3
0 1 0
3 1 2
2 1 3
1 3 0
1 0 1
1 2 0
10 6
0 3 2
1 2 1
2 2 1
0 3 3
2 1 2
2 0 1
2 2 0
2 0 2
1 3 2
0 0 3
10 6
0 1 0
1 0 0
2 0 0
1 0 2
3 1 0
0 2 3
3 1 3
0 0 3
3 1 2
3 3 1
10 5
2 1 1
1 0 1
1 1 1
0 0 2
1 3 0
1 0 2
1 2 3
2 2 2
3 0 2
3 0 3
10 3
0 0 2
2 1 1
2 2 0
0 1 2
2 2 1
2 0 1
1 0 0
0 2 0
1 1 1
2 0 2
10 4
2 2 1
1 0 1
1 2 0
3 2 0
3 3 0
1 0 2
2 2 2
3 0 3
3 1 0
2 1 2
10 3
2 0 0
1 2 0
0 1 2
0 2 2
2 3 1
3 0 1
2 0 1
0 2 1
3 2 0
0 0 1
10 8
3 3 2
3 0 1
2 0 2
0 1 1
2 1 2
0 2 2
3 2 2
1 0 2
3 1 1
0 2 3
10 8
3 3 3
1 3 2
0 2 3
0 0 1
2 0 2
0 1 0
2 1 1
1 0 1
2 3 0
1 1 2
10 8
1 3 0
3 1 3
0 1 0
1 0 1
0 2 3
3 2 1
2 0 3
1 2 2
0 3 2
3 3 3
10 7
0 3 2
0 0 0
1 0 1
2 3 1
3 2 1
0 1 3
0 0 2
0 3 1
1 3 2
2 2 1
10 5
2 0 0
2 0 2
1 1 3
3 0 0
0 1 3
1 1 0
2 1 3
3 3 0
0 1 1
0 2 1
10 5
0 0 1
1 2 2
1 1 2
0 1 1
2 2 0
2 1 1
2 2 1
2 1 2
0 2 2
1 2 1
10 9
1 1 2
1 0 2
2 1 1
1 2 2
0 2 0
0 0 0
2 1 2
1 2 0
1 2 1
0 1 0
10 5
2 2 0
3 0 3
2 1 3
3 0 2
0 1 0
3 1 2
0 2 2
1 3 2
2 3 1
3 2 1
10 9
0 0 2
0 1 1
2 0 0
1 1 2
2 2 2
0 0 1
1 0 1
1 0 0
0 2 0
1 0 2
10 9
2 0 0
1 0 1
1 1 2
1 2 0
2 2 0
1 1 1
0 0 0
0 2 2
1 0 2
2 1 2
10 4
1 1 0
0 2 1
3 1 2
3 0 2
3 0 0
0 3 3
1 0 1
1 2 1
3 1 3
3 3 0
10 5
1 0 2
1 2 3
2 0 3
2 0 1
3 1 1
1 3 3
2 3 0
3 1 2
1 3 0
2 1 2
10 4
3 3 0
2 0 2
3 3 1
2 1 1
2 2 3
0 0 1
3 0 0
2 2 0
0 2 1
0 0 3
10 4
3 3 2
1 0 3
3 1 3
3 2 1
3 3 1
3 0 0
0 2 0
3 0 1
1 1 1
1 3 3
10 8
2 0 2
0 1 0
0 2 1
0 2 2
2 1 0
1 0 1
0 0 1
2 2 2
2 2 1
2 0 0
10 6
1 0 2
1 2 1
2 0 2
2 1 0
1 1 0
1 2 0
1 2 2
0 0 2
0 1 0
0 0 1
10 6
0 0 2
1 2 2
0 0 0
1 0 1
0 2 2
2 0 0
1 1 0
0 1 0
0 2 1
1 0 2
10 5
2 2 0
2 0 0
0 2 1
0 2 2
2 1 0
1 2 2
2 2 2
2 0 1
1 2 0
0 1 0
10 9
0 3 3
0 1 2
3 1 2
2 2 0
1 2 1
3 3 2
2 0 3
3 1 1
3 1 3
0 0 3
10 9
0 1 1
0 1 2
2 0 2
2 2 2
1 1 1
0 2 0
2 2 1
2 0 0
1 2 0
0 1 0
10 9
0 2 2
1 2 1
0 0 1
0 2 0
0 0 0
0 1 1
2 1 0
2 0 1
0 2 1
1 0 0
10 9
1 2 2
2 1 1
1 1 1
2 2 2
0 1 1
2 0 0
2 1 2
0 2 1
1 1 2
1 2 0
10 6
2 1 2
2 0 2
0 2 1
0 0 1
1 2 1
2 0 0
0 1 1
0 2 2
2 2 0
0 0 2
10 6
0 0 3
3 0 0
2 1 0
2 2 0
1 1 3
1 0 0
2 0 1
3 2 1
3 3 3
0 0 2
10 5
2 0 1
2 0 0
0 0 0
2 1 2
0 0 2
1 2 1
1 0 2
2 1 0
1 2 0
0 2 0
10 2
2 0 0
2 2 2
2 0 2
2 1 0
1 2 0
1 1 2
0 2 1
0 0 0
0 1 1
0 1 2
10 2
2 2 2
1 0 3
3 0 1
0 0 2
1 0 2
2 3 1
0 1 1
0 3 2
3 0 0
3 0 3
10 9
0 2 2
2 1 1
1 0 2
0 0 2
0 0 0
1 0 0
0 1 0
2 1 0
1 1 0
2 2 1
10 3
0 3 3
1 3 3
3 1 1
1 2 1
0 0 3
0 2 3
2 1 2
2 0 0
2 1 3
3 2 1
10 8
1 0 1
2 3 1
2 1 1
3 2 2
1 0 3
2 2 1
1 3 2
2 3 2
2 0 2
0 2 2
10 3
0 1 0
1 0 3
1 0 2
0 3 2
2 2 3
0 2 2
2 1 0
1 1 2
0 2 0
3 2 2
10 7
0 0 3
1 0 0
3 3 1
2 2 1
1 1 1
2 0 3
1 2 3
2 2 0
3 3 0
1 2 0
10 3
3 3 3
0 3 0
1 3 0
3 3 2
1 0 0
3 0 2
1 2 2
3 2 2
2 1 1
1 3 1
10 2
0 0 2
2 2 1
1 0 3
3 2 1
0 1 3
1 2 0
3 3 3
1 0 1
3 0 2
1 3 2
10 2
2 1 1
0 0 1
1 0 2
1 1 2
1 2 0
2 2 0
0 2 1
0 2 2
0 2 0
0 1 1
10 2
0 2 0
0 2 1
1 2 2
0 1 0
2 1 2
3 3 3
3 0 1
3 2 2
1 3 0
3 3 0
10 2
0 2 0
2 1 3
2 0 2
2 2 1
2 3 1
0 1 0
2 2 2
0 3 3
2 0 1
3 1 0
10 8
0 2 1
1 2 1
1 1 0
2 1 2
0 2 0
0 1 0
2 0 0
0 1 2
2 0 1
1 1 2
10 3
1 3 1
0 2 3
0 1 1
1 3 0
2 3 2
0 0 0
0 1 0
0 0 1
3 3 3
3 0 2
10 6
2 2 2
0 2 0
0 2 1
2 0 0
1 0 0
2 0 2
0 1 2
1 2 2
2 2 0
2 1 2
10 9
1 2 1
0 1 2
1 0 1
0 1 0
2 1 1
1 2 0
1 1 2
1 0 2
2 1 0
0 0 1
10 9
0 2 2
1 2 0
1 0 2
2 2 0
0 1 0
2 1 0
0 2 1
2 2 1
1 1 1
0 1 2
10 4
0 2 0
1 0 1
0 0 1
1 2 2
2 1 1
0 1 1
0 1 0
1 0 2
0 0 0
0 0 2
10 7
0 2 1
0 0 1
2 2 0
1 0 1
1 0 0
1 2 0
0 0 2
1 2 1
0 2 2
2 0 0
10 9
2 0 1
2 2 2
0 2 2
2 1 1
1 1 3
0 2 3
1 3 1
1 2 1
1 1 2
2 3 1
10 7
0 1 1
2 1 1
1 0 1
0 1 2
2 2 2
2 0 2
0 0 1
0 2 2
1 1 0
1 0 0
10 2
1 1 1
2 1 2
2 0 2
2 0 0
0 0 1
2 1 1
1 0 0
0 1 1
1 2 1
2 2 1
10 6
2 1 0
1 1 0
2 2 1
2 0 0
0 0 2
0 1 1
2 2 0
1 2 1
1 1 1
1 2 0
10 4
2 1 0
2 1 2
1 0 0
2 0 2
0 2 2
1 2 0
1 1 0
2 1 1
0 0 1
2 2 1
10 6
1 0 1
0 1 1
2 2 0
1 2 1
2 1 2
1 2 0
1 1 1
2 2 1
1 1 0
2 1 0
10 3
0 0 1
1 2 1
1 0 0
0 0 2
1 1 2
1 2 0
2 0 0
2 1 2
1 0 1
1 0 2
10 3
2 3 3
1 2 0
2 3 0
3 1 0
0 2 0
3 2 2
1 0 0
3 2 1
3 3 1
0 1 0
10 3
3 1 0
2 1 3
1 3 0
1 1 3
2 3 3
0 2 2
1 3 3
1 1 0
0 1 0
2 0 1
10 5
2 2 3
0 1 3
3 3 0
1 1 2
3 0 3
0 2 1
1 0 3
3 1 0
3 2 0
0 3 3
10 7
2 2 3
1 1 2
1 0 2
0 0 2
0 3 1
1 1 3
1 2 3
3 1 1
2 2 1
2 2 2
10 2
0 2 3
2 1 0
1 2 1
3 2 3
2 1 3
3 3 2
1 0 0
0 2 2
2 3 3
0 0 3
10 2
0 1 3
2 3 3
3 3 0
0 2 2
3 2 2
2 2 0
2 1 2
1 3 2
1 0 1
1 2 2
10 9
1 1 2
2 0 1
2 1 2
0 1 2
0 0 1
2 2 2
0 0 0
2 1 0
0 1 0
2 2 1
10 7
1 2 1
2 1 3
3 2 3
0 1 0
1 3 1
2 2 1
3 1 2
3 3 3
3 3 0
2 3 0
10 2
1 2 1
1 1 1
2 2 0
2 2 1
1 0 0
1 2 0
0 1 2
2 0 0
1 0 1
2 1 1
10 2
1 2 2
1 0 0
2 0 1
1 2 1
0 0 0
2 1 2
0 1 1
0 2 2
2 0 0
0 2 1
10 5
2 3 0
2 3 3
0 1 3
0 3 2
1 0 0
3 1 0
1 3 3
1 0 1
1 0 3
0 3 1
10 8
1 2 1
2 1 0
0 2 2
0 0 0
1 0 2
1 0 0
1 1 0
0 0 2
1 2 2
2 0 0
10 9
1 2 1
0 1 1
2 0 0
1 2 2
1 1 1
2 2 2
2 2 0
1 1 0
1 0 0
1 0 1
10 9
0 0 0
1 0 0
1 2 3
0 0 1
3 1 1
2 1 2
1 0 1
2 2 1
3 1 2
1 0 2
10 2
0 2 1
0 0 1
2 0 0
1 2 2
0 0 0
0 2 2
2 1 2
1 2 1
2 0 1
2 2 2
10 6
0 0 1
1 1 0
2 2 1
2 0 1
1 0 1
2 2 0
0 2 0
1 2 2
2 0 2
2 1 0
10 8
1 1 3
3 0 2
0 0 1
2 0 2
2 3 2
1 1 1
3 1 1
3 2 0
1 0 2
0 3 2
10 2
0 3 0
2 2 0
3 2 1
2 3 1
2 3 2
1 3 2
3 3 2
1 0 0
2 2 3
0 3 2
10 8
1 3 3
2 0 2
3 1 1
1 0 3
2 2 3
0 3 0
3 0 0
3 3 1
2 2 1
0 3 1
10 3
1 1 2
0 2 0
1 1 1
1 0 0
2 2 0
1 0 2
1 2 0
0 2 2
1 0 1
0 0 2
10 5
2 1 0
0 2 1
1 0 2
2 2 1
1 1 1
1 1 0
2 2 0
1 0 1
0 0 0
0 2 2
10 2
0 2 2
3 1 2
3 2 2
0 2 0
3 3 1
1 0 2
2 1 3
3 3 3
0 2 3
0 0 2
10 6
3 0 3
2 1 2
2 0 2
3 0 2
2 1 3
3 1 1
2 0 1
3 1 0
2 0 0
0 2 2
10 4
3 2 1
2 3 0
3 3 3
3 2 3
0 2 1
1 2 3
3 3 1
1 3 2
2 3 1
0 3 2
10 4
0 0 2
1 0 0
0 1 0
1 2 0
2 2 2
2 0 0
2 1 0
2 1 2
0 0 0
1 2 1
10 8
1 0 2
0 2 0
1 3 0
0 3 0
1 1 1
3 0 1
2 3 3
1 1 0
1 2 0
1 3 3
10 6
2 2 0
0 2 2
1 1 0
0 2 0
2 1 1
2 2 2
1 1 2
0 1 0
1 0 1
2 1 2
10 8
1 2 0
0 2 2
0 2 0
2 0 2
1 1 2
0 0 1
2 0 1
1 2 2
0 1 0
0 0 2
10 7
2 0 1
0 0 0
1 3 1
3 2 2
2 0 0
2 0 2
3 0 2
3 2 0
0 0 3
0 2 3
10 8
1 1 1
0 0 0
0 1 1
2 1 2
2 0 2
2 0 0
1 0 0
0 1 2
0 2 2
2 1 0
10 7
2 2 1
0 1 2
2 2 0
1 0 1
2 0 1
1 1 0
1 2 2
0 0 2
0 2 0
0 0 1
10 8
3 2 3
0 0 1
3 2 1
0 3 3
1 2 1
1 0 1
3 3 1
2 0 3
3 2 0
0 1 1
10 9
0 1 1
3 1 1
1 0 3
3 0 1
1 2 1
3 1 2
1 3 0
3 1 3
2 3 1
3 3 1
10 9
0 1 0
1 2 0
1 0 1
1 1 1
2 1 0
0 1 2
1 2 1
2 1 2
2 2 2
2 1 1
10 2
1 0 0
1 2 2
2 1 2
2 0 2
1 2 1
0 2 0
0 1 0
1 1 1
0 2 2
2 2 2
10 2
1 1 1
0 2 1
0 0 2
0 1 0
1 1 2
2 2 2
2 0 0
2 0 1
0 0 0
2 1 1
10 7
2 2 1
2 1 1
1 1 3
2 1 2
3 2 2
3 1 0
1 0 0
0 1 3
2 1 0
3 1 2
10 6
2 3 1
2 1 2
3 3 3
3 3 2
2 2 2
2 1 0
0 0 1
0 1 3
2 1 1
0 0 0
10 3
1 1 0
1 0 2
1 2 2
2 1 1
1 2 0
1 1 2
2 1 0
1 0 1
1 1 1
2 0 0
10 7
1 1 3
0 3 2
2 1 3
3 1 1
0 1 3
0 3 1
3 0 0
3 2 1
1 0 2
1 2 0
10 9
0 1 2
1 1 1
1 0 2
2 1 0
2 0 1
0 2 2
2 1 1
0 2 1
1 2 1
0 1 1
10 5
2 1 0
2 0 2
2 2 2
0 2 2
1 0 1
0 1 1
0 0 0
2 2 1
2 1 2
2 0 0
10 6
3 2 0
3 0 2
2 1 2
2 1 0
3 1 3
1 1 2
0 3 0
3 3 2
3 0 0
2 3 3
10 2
1 1 0
0 1 2
2 1 0
0 2 1
1 1 1
0 1 1
1 2 0
2 2 1
1 2 2
1 1 2
10 6
1 0 1
2 1 0
0 1 0
2 0 0
1 0 3
3 1 0
2 1 3
2 3 3
0 3 3
1 0 0
10 7
0 2 2
0 2 0
1 3 0
1 3 3
2 2 0
1 0 0
3 0 0
2 1 0
3 2 3
0 1 0
10 9
3 2 2
1 2 1
0 1 3
3 3 3
2 3 2
3 0 0
1 0 2
0 2 0
3 3 0
0 0 1
10 8
0 0 0
1 0 2
2 1 2
0 1 0
0 1 1
0 2 0
0 2 1
0 0 1
2 0 2
2 2 1
10 9
2 3 3
0 0 3
1 1 2
2 3 0
3 1 0
2 2 2
3 1 2
2 2 3
2 0 0
0 2 1
10 5
0 2 1
0 1 2
2 1 0
0 1 0
2 2 1
0 1 1
1 0 1
1 1 2
0 0 0
0 2 2
10 2
1 2 2
0 1 2
0 2 0
0 0 2
0 1 1
2 0 0
2 2 1
1 0 0
0 1 0
2 2 0
10 8
2 2 0
2 2 2
2 1 1
1 0 0
2 2 1
2 0 2
0 2 1
0 0 2
2 1 2
1 0 1
10 8
2 0 3
0 0 2
2 1 1
1 0 3
0 2 0
3 0 3
3 1 2
3 3 0
1 1 0
2 2 1
10 4
3 3 3
0 0 0
0 2 3
1 3 0
0 1 3
3 2 0
3 0 0
3 2 2
0 0 3
1 1 1
10 6
2 1 2
2 1 1
1 1 0
0 2 2
0 0 0
1 0 0
0 2 0
1 0 1
1 0 2
0 1 1
10 9
0 0 1
1 3 1
1 1 3
1 0 2
1 1 0
2 1 3
3 0 0
2 0 0
2 3 2
1 3 3
10 3
1 0 0
1 1 0
2 2 1
0 2 1
2 0 2
0 1 0
1 0 1
1 2 1
0 1 1
1 1 2
10 6
0 1 0
2 2 2
1 0 0
1 1 0
0 0 0
0 1 1
2 1 0
0 2 2
2 2 1
0 1 2
10 4
1 0 0
0 2 1
0 1 1
2 2 0
1 0 1
0 1 0
0 2 0
1 2 1
1 2 0
2 1 1
10 8
2 2 0
1 1 2
1 2 1
0 1 1
2 0 2
2 0 1
0 1 0
0 1 2
1 0 2
1 0 1
10 5
0 1 1
1 2 1
3 3 1
2 0 3
3 2 3
1 2 2
1 0 3
3 2 0
0 0 0
0 1 0
10 3
0 1 1
1 0 2
0 1 0
2 2 0
2 0 2
1 2 0
2 0 0
0 2 2
1 2 1
1 1 1
10 7
1 1 2
1 1 1
1 2 0
2 2 1
0 1 0
2 1 1
0 0 1
2 2 0
0 0 2
2 1 2
10 6
1 0 2
0 0 1
0 2 0
1 2 0
0 0 0
1 2 2
0 1 1
1 2 1
2 2 0
0 1 2
10 4
1 1 0
2 2 0
0 0 2
0 1 1
0 1 0
2 2 2
0 2 2
0 2 1
1 0 0
1 1 1
10 6
3 0 1
1 0 2
1 1 0
3 1 0
1 1 3
0 1 0
3 1 1
0 2 1
2 1 3
2 1 1
10 9
2 1 2
2 0 1
1 2 1
2 0 2
1 1 2
2 2 0
0 2 1
2 1 0
0 2 2
1 1 1
10 4
2 2 0
2 0 1
2 0 3
3 3 2
3 1 2
0 0 1
1 0 1
2 3 2
2 0 2
0 1 3
10 3
1 3 3
2 3 2
0 3 1
3 0 3
3 1 2
2 0 2
3 0 2
0 2 0
1 2 2
2 3 3
10 7
2 0 2
0 2 2
0 2 0
2 2 2
0 1 0
2 1 1
0 1 2
1 2 0
1 2 1
2 2 0
10 2
0 0 2
1 2 2
1 1 1
1 0 0
2 1 1
0 1 0
0 0 1
2 1 0
1 1 0
2 1 2
10 2
0 2 2
1 0 1
2 0 2
1 2 1
0 2 1
0 0 2
1 2 0
1 2 2
2 2 2
2 2 1
10 3
2 3 2
0 0 2
2 0 1
2 3 0
3 2 3
3 0 3
1 2 1
2 0 2
0 0 3
2 1 3
10 7
1 1 2
2 1 0
2 1 1
0 2 0
0 1 0
2 0 1
1 0 0
1 2 0
2 2 2
0 0 0
10 3
0 2 2
2 2 2
1 2 2
1 1 1
0 1 2
0 0 2
1 2 1
2 0 1
1 1 2
2 2 1
10 5
1 3 1
0 3 1
0 2 0
3 0 0
1 0 3
1 0 1
1 2 0
3 3 0
0 0 0
0 3 0
10 2
0 0 0
1 2 0
0 0 2
0 2 2
0 1 0
2 2 1
2 2 0
2 0 1
1 0 2
2 2 2
10 2
3 2 3
1 2 0
1 2 3
3 3 0
0 0 1
2 3 3
2 1 3
0 3 3
0 2 3
1 0 0
10 3
0 2 2
0 2 1
2 0 1
0 1 0
1 2 0
2 1 1
1 0 0
0 0 0
0 2 0
1 1 0
10 5
0 1 1
0 1 0
0 2 1
1 2 1
1 1 1
0 2 0
0 0 1
2 2 1
2 1 0
0 1 2
10 6
1 1 3
1 2 3
2 1 1
2 2 0
0 1 1
3 3 2
1 0 0
1 0 2
2 2 3
0 0 3
10 7
2 2 3
3 2 3
2 1 2
1 2 0
3 3 0
2 3 1
0 1 3
2 3 0
2 0 3
1 0 3
10 2
0 0 1
2 2 2
0 2 1
0 1 1
0 1 2
0 2 0
2 0 0
1 0 1
2 0 1
0 0 2
10 3
1 1 2
1 2 2
2 1 1
1 1 1
0 2 0
0 2 2
0 1 2
0 1 1
1 0 2
0 0 2
10 3
3 0 3
2 1 2
3 2 0
2 3 3
2 0 1
1 1 3
3 1 3
1 2 3
0 3 3
3 3 1
10 5
1 0 1
2 2 1
1 2 1
2 1 1
0 2 0
2 2 0
0 1 1
2 0 0
1 2 0
0 0 2
10 8
1 1 0
0 3 0
3 0 0
1 2 3
2 0 0
1 1 2
1 2 1
0 2 1
3 1 3
0 0 1
10 8
1 2 1
0 1 2
3 2 2
3 3 0
2 1 3
0 3 3
0 1 1
1 0 1
1 1 1
1 2 0
10 2
2 0 0
1 0 2
0 2 1
1 2 2
1 2 0
0 0 0
2 1 1
0 1 0
0 2 0
2 2 2
10 9
3 0 2
1 3 1
1 3 2
2 3 2
1 0 1
0 0 2
2 0 1
1 0 0
3 3 3
2 0 2
10 5
2 1 0
1 2 2
2 0 0
1 0 2
1 1 2
1 0 1
1 2 0
2 1 2
0 2 2
0 1 1
10 8
2 0 2
0 1 0
0 2 0
1 0 2
2 1 0
0 0 0
2 0 1
1 1 0
0 1 2
0 0 1
10 5
0 2 2
2 2 2
1 1 2
1 2 1
1 0 2
2 1 0
0 1 0
2 0 2
2 1 1
0 0 1
10 4
1 1 3
2 3 3
2 0 1
0 2 1
1 1 0
0 3 0
1 1 1
3 0 2
0 3 2
3 3 2
10 7
1 0 1
3 2 3
0 1 1
0 1 0
3 0 2
3 3 2
1 2 0
0 0 0
2 3 0
0 0 3
10 5
0 1 2
2 0 0
2 1 2
1 0 0
0 0 2
2 1 1
1 0 2
1 1 1
0 0 1
2 2 1
10 6
1 1 1
0 0 2
0 1 2
0 2 0
0 0 0
1 2 0
0 2 2
0 1 1
2 2 2
1 2 1
10 4
0 2 0
0 0 1
2 0 1
0 2 2
2 1 1
2 1 0
2 2 2
2 2 0
1 0 0
2 1 2
10 7
0 3 3
1 0 3
1 3 0
2 2 1
3 1 2
0 3 1
3 0 3
3 2 0
0 1 2
1 1 2
10 6
0 0 0
1 0 0
1 2 3
2 3 1
3 3 3
1 0 1
0 3 3
0 1 1
1 3 1
1 2 1
10 8
2 0 0
0 2 1
0 1 0
2 2 2
2 0 2
1 1 0
2 2 0
1 0 1
1 0 2
1 0 0
10 8
0 1 3
3 2 2
2 3 1
1 1 2
1 2 3
2 1 2
3 1 3
3 3 1
0 0 2
1 1 1
10 7
0 2 0
2 3 1
0 1 2
2 0 0
0 2 3
0 3 2
3 2 1
2 1 3
0 3 3
0 0 1
10 8
0 0 0
1 2 2
2 0 2
0 1 0
2 2 1
1 1 0
1 1 1
0 2 2
0 2 1
2 0 0
10 7
1 0 0
0 0 0
2 1 0
0 1 1
1 0 1
2 1 1
1 2 0
0 1 2
1 1 2
0 2 1
10 2
2 2 3
3 3 0
1 0 2
2 2 1
2 0 0
1 3 1
1 0 1
3 0 1
1 3 2
3 1 0
10 8
0 2 0
1 0 1
0 0 1
1 2 1
1 1 2
2 2 2
2 0 1
0 1 2
2 0 2
1 1 1
10 2
1 1 2
1 2 0
2 0 1
0 2 2
2 2 0
2 1 0
0 1 0
1 0 2
1 2 1
0 1 2
10 8
1 1 2
0 0 0
2 2 2
0 0 1
2 2 0
2 0 2
1 0 1
0 0 2
0 1 0
2 0 0
10 6
3 1 0
0 0 0
3 2 2
3 0 3
0 0 3
0 0 2
0 3 3
0 2 1
2 3 3
1 1 1
10 4
3 0 3
0 3 3
0 3 1
1 3 2
3 3 2
2 3 1
1 0 2
2 2 1
2 3 2
2 3 3
10 3
3 2 1
3 3 2
3 3 3
2 3 1
2 0 0
1 1 3
1 0 1
1 3 2
0 1 0
1 1 1
10 4
3 2 2
3 1 3
3 0 2
1 0 1
3 3 0
0 1 2
1 2 1
2 1 3
1 3 3
3 1 0
10 8
1 2 1
1 2 2
3 1 1
3 2 2
3 0 1
3 3 1
0 1 0
2 1 3
0 0 1
2 2 0
10 7
0 0 2
1 1 0
1 0 0
2 2 2
0 0 0
0 1 0
2 2 0
2 0 2
0 0 1
0 1 2
10 3
0 1 1
1 2 1
1 0 1
0 1 0
1 0 2
0 2 0
0 0 1
1 1 2
1 2 2
1 0 0
10 3
2 0 0
0 3 1
0 2 2
3 0 2
2 2 2
2 0 2
3 3 3
2 3 0
1 2 1
3 1 1
10 7
0 0 2
2 0 2
0 2 2
1 1 1
1 2 2
2 2 1
0 1 1
2 1 0
1 0 1
2 0 1
10 3
3 0 3
0 2 2
2 3 1
1 1 0
2 1 0
1 3 3
2 0 3
0 0 3
3 3 0
0 1 3
10 6
2 1 0
1 1 2
0 0 1
2 0 2
0 0 0
0 0 2
2 2 2
0 2 1
1 0 1
2 2 1
10 7
1 0 1
2 3 2
0 0 2
1 1 0
0 2 2
3 1 1
3 1 2
2 2 1
1 1 3
1 2 0
10 4
0 1 1
1 1 0
1 2 2
2 1 2
2 0 2
1 0 0
0 2 1
1 2 0
0 1 2
0 2 2
10 5
0 0 2
2 3 2
2 3 1
2 0 2
3 0 1
0 1 2
0 3 0
2 1 0
2 1 2
1 2 1
10 6
1 2 2
0 2 0
2 1 0
1 1 0
1 2 1
2 0 2
2 0 1
2 2 1
1 0 2
1 2 0
10 5
2 1 0
2 0 0
1 1 0
1 2 0
1 2 1
2 2 0
1 0 1
2 1 1
1 0 0
0 0 1
10 8
2 2 2
0 0 1
1 0 1
0 0 2
2 1 2
0 0 0
0 2 2
1 1 2
1 1 0
1 2 1
10 8
2 3 0
0 2 2
3 1 2
0 0 2
0 3 1
1 2 1
3 1 0
1 1 0
2 2 1
2 3 2
10 8
0 3 1
1 2 3
3 2 3
1 1 1
2 3 2
1 0 3
1 1 3
3 3 2
0 1 0
3 0 2
10 7
1 1 0
3 3 2
2 0 3
1 3 0
1 1 3
1 0 0
3 2 1
2 3 1
3 0 1
1 3 3
10 3
1 1 2
1 1 0
1 2 2
1 0 0
2 0 0
0 2 0
2 1 0
2 2 1
2 2 2
2 1 2
10 6
0 2 2
0 2 0
2 2 1
2 1 2
2 0 0
0 1 1
1 0 2
2 0 2
2 0 1
0 2 1
10 7
0 0 1
2 0 0
0 2 2
1 0 1
2 1 2
2 1 0
0 2 1
0 1 1
1 0 2
1 2 2
10 2
0 1 0
1 2 2
2 2 2
2 1 2
2 0 0
0 2 0
1 0 2
0 0 1
2 1 1
2 2 0
10 2
0 2 1
0 3 3
1 3 1
3 3 2
2 2 0
3 3 1
3 2 3
2 2 3
1 3 2
1 1 0
10 2
2 0 2
0 2 1
1 1 0
0 1 1
2 2 1
0 0 2
0 1 0
1 2 1
2 2 0
0 1 2
10 3
2 0 2
0 1 1
2 1 2
1 2 2
2 0 3
1 2 3
0 3 3
2 1 1
0 0 2
0 1 2
10 6
0 2 1
1 1 1
2 0 0
0 1 1
1 1 2
1 2 1
2 0 2
0 2 0
1 2 0
1 0 1
10 5
3 1 2
1 2 1
1 0 0
2 0 3
3 3 1
3 2 3
2 1 3
1 2 0
3 2 1
1 1 0
10 7
1 0 0
2 1 2
0 2 2
0 0 1
2 0 2
0 0 2
2 2 1
2 1 1
1 2 1
0 1 1
10 5
2 1 1
0 1 2
3 3 3
1 0 3
3 2 2
1 0 2
3 0 3
3 1 2
2 1 3
0 1 1
10 4
1 0 2
2 1 2
0 2 2
0 1 1
1 0 0
1 1 0
2 1 0
1 1 2
0 1 2
0 1 0
10 7
1 2 2
0 1 1
0 0 0
2 0 1
1 0 1
1 1 2
1 1 0
2 0 0
1 0 2
2 1 1
10 6
1 2 2
0 2 3
0 2 0
3 1 3
2 1 2
3 2 3
1 1 1
2 2 1
1 2 3
3 2 1
10 8
0 0 1
1 2 0
1 0 1
1 0 2
0 1 0
0 1 2
2 1 2
2 2 2
2 1 0
0 2 2
10 2
0 0 1
0 2 0
2 1 1
2 2 0
1 1 2
0 0 2
1 0 1
0 2 2
0 1 1
0 1 2
10 2
2 2 0
1 0 3
2 1 0
0 2 1
0 1 0
0 3 3
3 2 1
0 0 0
1 3 3
0 0 3
10 5
1 2 0
2 2 2
2 1 2
2 1 1
0 0 1
0 0 2
0 1 1
2 0 0
0 2 0
2 0 2
10 9
1 0 2
2 2 0
0 2 2
2 0 0
0 2 0
1 1 2
1 1 0
0 0 2
1 2 1
0 2 1
10 6
0 1 2
0 2 2
1 2 0
1 0 2
1 1 1
1 0 0
0 0 0
2 2 2
2 1 1
2 2 0
10 2
0 1 1
2 1 1
1 0 2
1 2 1
0 2 2
1 2 2
2 2 1
0 2 0
2 2 0
1 1 0
10 8
1 1 1
1 2 1
2 2 1
1 1 0
0 1 0
2 0 2
2 2 0
1 0 1
2 0 0
0 1 1
10 5
0 1 1
0 1 0
0 0 0
2 1 1
0 0 1
1 2 0
2 0 2
2 2 1
1 2 2
0 1 2
10 7
1 2 0
2 0 0
2 0 1
0 2 2
1 0 0
2 0 2
2 1 2
0 2 1
0 0 2
1 2 2
10 4
3 3 2
1 0 1
3 3 3
3 2 2
1 0 3
1 2 3
1 0 0
3 1 0
0 2 0
0 0 3
10 9
0 2 1
0 1 0
1 2 1
2 0 2
0 0 0
2 0 0
2 2 1
0 1 1
2 0 1
1 1 2
10 9
0 1 0
0 0 0
2 2 0
1 0 1
0 0 2
2 2 1
1 2 2
1 1 0
1 0 2
1 1 2
10 8
0 0 1
1 0 2
2 2 0
1 0 0
2 2 1
1 0 1
1 1 1
0 1 1
1 2 1
0 2 0
10 8
3 2 1
3 0 0
3 1 1
2 2 3
3 0 2
3 0 1
3 1 2
2 0 1
1 2 3
2 1 3
10 7
3 2 1
0 1 3
1 2 0
3 2 3
1 0 1
1 2 3
2 0 3
0 1 2
2 0 2
2 3 0
10 8
2 2 1
2 3 1
2 3 0
1 2 1
1 1 1
0 0 3
3 1 2
3 3 0
2 3 2
3 2 0
10 3
2 1 0
1 2 1
0 2 0
2 1 1
1 0 2
2 0 2
1 0 1
2 0 0
1 0 0
0 1 2
10 7
1 1 1
1 3 3
1 1 2
1 0 0
1 0 2
3 2 2
1 3 2
3 3 0
0 2 2
0 2 1
10 9
0 3 3
1 3 0
2 2 2
3 0 2
2 2 3
1 0 0
2 1 2
0 2 0
0 1 3
1 3 1
10 3
0 2 2
0 1 2
0 2 0
0 0 2
1 2 0
2 2 0
2 0 2
1 0 0
2 0 0
1 2 1
10 6
0 1 0
0 0 1
2 2 2
2 0 0
1 0 2
0 1 2
1 2 0
2 2 0
2 1 2
2 0 2
10 5
2 2 0
1 0 0
1 0 1
2 2 1
0 2 2
1 1 0
2 0 2
2 1 1
1 1 1
2 1 2
10 8
2 1 0
1 2 2
2 2 2
0 1 0
2 1 1
0 0 1
2 0 1
0 2 0
1 0 0
1 0 1
10 9
0 0 3
0 0 1
3 1 0
1 0 3
0 1 0
3 0 1
1 3 0
2 0 0
1 2 1
2 0 2
10 4
2 1 1
0 2 2
0 1 2
0 0 0
2 0 2
0 2 0
2 1 2
1 0 0
2 0 1
1 2 1
10 8
1 0 2
0 1 1
0 2 0
0 2 2
0 1 2
0 0 1
2 2 0
2 0 2
2 2 1
0 2 1
10 8
1 2 1
0 2 2
1 1 1
2 2 2
0 1 0
2 3 3
3 0 3
2 1 3
0 0 3
3 3 1
10 3
3 1 3
1 1 2
2 2 1
1 2 2
2 0 1
3 2 0
1 1 3
2 2 0
1 0 2
1 2 1
10 4
1 1 0
2 0 0
2 1 2
1 0 0
0 1 2
2 1 0
1 0 1
1 2 1
0 2 1
0 1 1
10 7
2 1 3
0 0 0
0 3 0
3 2 1
2 3 0
3 1 0
2 3 2
2 3 1
1 1 1
3 2 3
10 7
2 1 2
2 0 1
1 2 1
2 2 0
1 2 0
0 0 1
1 0 2
0 2 0
2 2 1
1 0 0
10 9
1 0 1
1 0 0
2 2 0
1 2 2
0 0 0
0 1 0
0 2 0
0 2 2
1 2 1
2 1 1
10 4
0 2 0
1 2 1
2 1 2
1 2 0
1 0 0
0 1 2
0 0 2
2 2 2
0 0 1
1 1 2
10 8
2 1 2
0 1 0
2 1 1
0 1 2
2 1 0
0 0 0
2 0 0
1 0 1
2 2 2
1 2 0
10 6
2 0 2
0 1 0
0 2 2
1 0 2
2 2 0
0 1 2
0 0 0
2 1 0
1 1 1
1 2 1
10 2
1 2 1
3 2 0
3 0 2
2 2 3
2 3 1
0 3 0
0 1 1
3 1 0
2 1 3
0 2 0
10 3
2 2 2
3 2 3
0 1 3
0 0 0
0 0 3
0 0 1
0 3 0
2 1 3
1 2 3
2 1 2
10 2
2 2 0
0 0 2
1 2 2
1 0 2
2 2 2
1 2 1
1 0 1
0 2 1
1 0 0
2 1 1
10 7
2 0 3
0 3 2
2 0 1
2 1 3
1 3 2
1 3 3
1 0 0
3 0 2
0 3 1
3 1 3
10 7
1 2 0
2 2 0
0 0 0
1 2 2
1 1 0
0 2 0
2 1 1
2 0 2
2 2 1
0 2 1
10 9
2 0 0
3 0 0
2 1 1
1 0 1
0 0 2
1 3 0
2 2 1
0 1 2
0 2 3
2 0 3
10 6
2 0 3
2 3 0
2 0 1
1 2 1
0 3 2
2 2 3
3 0 0
3 1 1
2 1 1
1 1 3
10 7
1 0 1
0 1 3
1 2 2
1 2 1
2 2 1
2 1 1
1 0 3
3 2 0
0 2 2
2 1 0
10 2
2 0 2
2 1 1
0 0 0
2 2 0
1 0 0
1 2 0
0 1 2
0 2 0
1 0 2
0 1 1
10 7
3 2 2
1 2 0
0 2 1
0 3 2
1 0 3
2 2 0
1 0 2
1 1 3
3 2 3
3 0 1
10 5
1 1 0
3 1 2
2 3 3
2 1 3
0 1 1
2 0 2
3 1 3
1 3 3
1 1 3
3 2 3
10 5
3 1 2
1 1 0
1 0 3
0 2 2
3 2 0
3 2 3
2 2 2
2 3 0
0 0 0
0 2 1
10 9
0 3 0
2 1 3
3 1 0
0 0 1
1 1 3
1 2 0
2 3 1
1 2 1
3 0 0
0 2 3
10 5
2 1 2
2 2 0
1 2 1
0 2 0
0 0 1
1 2 2
1 0 1
2 0 0
0 1 2
2 1 1
10 5
2 0 2
1 1 1
1 2 1
1 0 2
0 2 1
1 0 1
0 0 0
0 1 2
0 1 0
0 0 1
10 4
2 2 0
0 2 0
0 0 0
1 0 2
2 1 1
1 0 0
0 1 0
1 1 0
2 0 1
0 0 2
10 5
2 2 1
1 0 1
1 2 0
1 2 1
0 1 2
0 1 1
0 0 0
0 0 2
2 1 1
0 2 1
10 9
0 0 2
3 1 1
0 2 1
3 0 3
3 1 3
3 2 0
0 2 0
2 1 0
1 1 2
1 0 1
10 8
1 3 3
1 0 2
0 2 0
0 0 3
0 2 1
1 2 1
2 2 0
0 1 1
2 2 3
3 3 1
10 7
1 1 2
0 2 1
1 1 0
1 2 0
1 0 2
2 2 2
1 0 1
2 1 2
2 1 0
0 1 2
10 6
2 1 3
1 1 1
1 1 3
2 2 0
0 1 0
3 2 2
1 0 2
3 0 1
3 1 0
0 0 1
10 4
1 2 1
0 1 1
2 0 1
1 0 1
0 1 0
0 1 2
0 2 1
2 1 2
1 1 2
1 1 1
10 6
0 2 2
2 1 0
2 2 2
1 2 0
2 1 1
2 0 1
2 2 0
1 0 0
1 1 1
2 2 1
10 9
2 2 1
0 1 1
0 1 2
2 0 2
2 0 0
1 2 2
2 0 1
0 0 1
0 0 2
2 2 0
10 9
0 2 3
3 0 0
3 2 2
3 1 1
1 1 1
0 2 1
3 3 0
1 2 1
2 0 1
3 3 3
10 2
0 0 0
1 1 2
0 2 2
0 0 1
1 0 1
2 0 1
1 2 0
2 1 0
0 1 0
2 1 2
10 5
1 2 1
1 0 0
1 2 2
3 3 1
3 2 3
1 0 3
1 1 3
0 1 3
1 3 3
2 3 3
10 8
3 1 2
0 0 0
2 2 0
1 2 1
3 3 0
1 2 2
2 3 2
1 1 0
2 2 3
3 0 3
10 3
1 3 3
1 1 0
3 0 0
2 2 1
0 2 0
3 3 3
1 2 0
2 0 3
2 1 3
3 0 2
10 6
0 1 3
0 2 2
3 3 0
3 2 0
1 3 3
2 3 1
2 2 1
2 0 3
3 3 2
1 1 1
10 7
3 2 0
2 1 3
3 0 2
0 1 0
0 3 1
0 1 1
2 1 0
1 3 2
1 0 2
3 1 1
10 5
3 0 0
3 3 3
3 3 2
3 2 2
1 3 0
3 0 3
3 0 2
1 0 2
0 3 0
2 2 0
10 4
0 2 0
1 0 0
2 2 0
0 2 1
3 3 0
3 2 3
0 0 1
3 1 3
0 2 3
3 1 0
10 2
2 1 2
2 0 2
1 1 0
0 1 2
2 2 1
2 2 0
0 1 1
0 2 2
0 1 0
1 2 0
10 4
2 0 1
2 2 0
1 0 0
2 0 0
2 1 2
0 2 0
0 2 1
2 1 0
0 1 2
0 0 2
10 5
1 1 1
0 1 2
2 1 0
0 1 1
0 2 0
2 0 0
2 0 1
2 2 1
1 2 0
0 0 1
10 3
2 0 0
2 1 0
2 1 2
1 0 2
1 1 0
2 2 1
1 2 0
0 2 2
0 2 1
0 2 0
10 3
0 1 2
1 2 2
0 0 0
1 1 2
0 0 2
0 1 0
0 0 1
1 2 1
2 2 1
1 1 0
10 4
2 1 0
0 1 3
0 3 3
1 2 2
3 3 2
3 3 1
1 1 3
1 2 0
0 1 1
1 3 1
10 7
0 1 2
3 2 3
3 0 1
0 1 1
1 0 2
1 1 0
1 2 1
2 0 1
3 3 0
1 1 3
10 2
1 2 2
2 0 2
2 1 0
2 1 1
0 1 1
0 2 1
1 0 1
0 1 2
0 2 2
1 1 1
10 5
3 3 1
3 1 0
0 2 1
1 1 0
2 3 3
3 0 0
3 1 2
1 2 0
3 1 1
2 2 2
10 4
1 2 1
0 1 1
2 3 0
0 3 0
2 1 1
0 0 1
2 1 3
2 1 2
3 1 1
1 2 0
10 4
3 1 3
0 1 0
1 2 1
3 3 0
0 3 0
2 1 2
3 1 1
0 3 2
0 0 1
0 3 3
10 5
0 0 2
2 2 0
0 0 0
2 0 1
0 2 1
2 1 1
1 2 0
1 0 0
0 0 1
0 1 0
10 9
2 0 0
0 1 1
0 1 0
1 1 0
2 1 0
1 2 1
1 0 0
1 2 0
0 0 0
1 0 2
10 5
2 0 0
1 1 2
0 2 0
2 0 2
2 1 2
1 2 1
2 2 1
2 2 2
0 1 2
0 0 2
10 7
2 0 0
0 2 1
1 0 1
0 2 2
2 1 1
1 2 1
0 2 0
2 1 2
2 0 1
1 1 2
10 2
0 2 0
1 2 0
0 2 1
1 0 0
1 1 1
0 0 1
2 0 2
0 1 0
1 0 1
2 0 0
10 3
0 1 1
1 2 2
0 0 1
0 0 2
2 0 2
1 1 1
2 2 1
2 1 1
2 2 0
0 1 2
10 6
0 2 2
0 0 0
0 1 0
2 2 0
2 1 2
2 0 0
1 0 2
1 1 1
2 2 1
2 1 0
10 2
1 2 2
2 0 3
3 3 3
2 1 2
1 0 1
0 3 0
3 3 2
3 0 1
2 1 3
3 3 0
10 9
0 0 0
0 0 1
2 2 2
1 2 2
0 2 1
1 1 0
1 2 1
2 0 1
2 1 1
1 2 0
10 2
1 0 1
2 0 2
0 0 0
1 2 0
1 2 2
0 1 0
0 1 2
0 0 1
1 0 2
2 1 2
10 2
1 1 1
0 1 2
2 1 2
2 0 0
1 2 1
1 1 0
0 0 1
1 0 2
2 0 2
2 2 0
10 6
0 2 1
0 0 1
0 1 2
0 2 2
1 0 0
1 1 2
1 0 1
2 2 0
2 1 2
2 2 2
10 3
0 2 2
3 3 3
2 2 2
0 3 3
3 0 1
1 0 3
0 0 3
2 3 2
1 3 1
1 3 0
10 8
0 1 2
3 2 3
3 3 0
2 2 2
2 0 0
2 2 3
3 0 1
1 0 0
3 3 3
3 1 3
10 2
0 2 1
0 0 2
1 2 1
2 0 0
0 2 3
1 1 0
1 2 2
1 0 3
2 2 3
1 1 2
10 6
0 2 0
2 1 1
3 1 3
3 3 1
0 2 2
2 1 0
0 3 2
3 0 3
2 2 1
3 2 1
10 8
0 1 2
1 0 2
1 0 0
2 0 0
0 1 1
2 2 1
0 1 0
0 0 1
0 0 0
0 0 2
10 4
2 1 2
0 1 0
1 1 1
2 0 1
0 2 1
1 0 0
1 1 2
2 1 0
2 2 0
0 0 2
10 2
1 2 2
3 1 0
0 2 3
0 2 0
3 3 3
0 1 3
1 0 2
2 2 3
2 0 2
0 1 1
10 8
0 2 0
0 1 0
0 1 2
2 0 2
2 1 0
1 2 2
0 2 2
2 0 0
2 0 1
2 2 0
10 4
3 2 2
2 1 2
0 3 0
0 3 3
2 0 0
3 3 1
3 1 3
3 0 1
3 1 0
0 1 3
10 8
0 1 0
2 2 2
0 2 1
1 0 0
2 0 0
2 2 1
1 2 2
2 1 2
0 0 1
0 0 2
10 7
0 2 2
0 0 1
1 2 0
1 1 2
2 0 1
2 2 2
0 2 0
1 0 2
0 1 0
1 1 1
10 8
2 1 3
0 3 1
3 0 3
1 3 3
2 3 2
3 2 2
0 0 1
1 3 1
3 1 2
3 0 0
10 4
0 2 0
0 0 0
0 1 1
0 0 1
2 0 1
2 1 0
1 1 2
1 2 0
2 0 0
2 1 2
10 8
2 2 2
1 2 0
1 1 1
0 2 1
0 0 1
2 0 1
2 3 0
0 3 0
2 3 2
0 1 0
10 3
0 2 1
0 1 0
1 1 0
1 2 2
1 2 0
0 2 0
2 2 1
0 0 1
0 1 1
2 1 1
10 9
1 1 0
2 0 2
1 0 0
3 1 3
0 3 0
3 2 1
1 3 0
2 3 3
1 1 1
2 1 3
10 4
0 1 2
2 3 0
1 0 0
2 3 3
1 0 2
2 0 2
2 1 0
0 0 2
0 3 2
2 0 1
10 2
0 0 3
3 1 0
0 0 1
3 3 2
0 2 0
3 0 2
3 0 0
2 0 3
0 3 3
2 1 1
10 4
0 1 2
2 2 2
1 2 1
2 1 2
2 0 0
2 0 2
1 2 2
1 1 1
2 2 1
2 1 0
10 4
1 1 0
1 0 2
0 1 1
2 0 1
0 0 1
2 2 1
1 2 0
0 2 0
0 2 2
2 2 0
10 9
0 1 0
2 1 0
1 0 0
0 2 1
1 0 1
1 2 2
1 1 1
2 1 2
0 1 2
1 1 0
10 3
2 1 1
0 1 2
0 1 0
2 1 0
1 1 2
2 2 2
2 0 2
1 0 2
0 2 2
0 2 1
10 8
0 3 0
0 1 0
2 1 3
0 0 1
1 1 3
0 0 3
0 1 3
3 3 3
0 3 1
2 0 2
10 5
1 1 1
0 1 2
3 2 2
0 3 3
0 2 1
1 2 3
0 1 3
2 3 1
2 2 2
1 3 0
10 9
1 1 2
1 0 0
0 2 0
0 1 1
2 2 0
1 0 2
1 2 2
1 0 1
0 2 2
2 2 2
10 9
1 2 2
0 0 0
2 2 0
1 0 2
2 0 0
2 1 2
1 0 1
0 1 0
1 2 1
2 1 0
10 6
0 0 2
0 2 0
2 0 0
2 0 2
0 2 1
1 1 0
1 1 1
2 1 2
1 2 0
0 0 1
10 6
0 1 0
3 1 1
0 1 2
0 0 2
3 0 2
0 2 1
3 2 3
2 2 2
0 0 3
1 2 2
10 6
0 2 0
0 1 1
1 1 1
2 2 0
0 0 1
1 0 1
2 0 2
1 2 1
1 0 0
2 0 0
10 4
1 0 0
2 1 2
0 0 0
0 1 1
0 2 2
0 1 2
1 0 2
2 2 1
2 1 1
0 0 2
10 7
1 0 0
0 2 0
2 0 1
2 2 2
0 1 1
1 1 2
0 0 0
2 1 2
1 1 1
1 2 1
10 4
1 3 2
0 0 3
2 3 0
0 2 0
2 0 1
0 1 0
3 1 2
3 0 0
2 0 2
2 2 2
10 4
1 0 0
1 1 1
0 1 1
1 1 0
2 0 1
2 0 0
1 2 2
2 2 1
0 2 0
2 2 0
10 5
2 2 0
2 0 0
2 3 1
1 3 2
0 3 2
3 0 1
3 1 2
2 2 3
2 1 1
3 0 2
10 6
2 1 0
0 2 1
0 0 1
1 0 2
0 2 0
1 1 0
1 2 1
0 0 0
0 1 1
1 2 0
10 2
1 2 1
2 2 1
1 1 0
0 2 1
0 2 3
1 1 1
3 3 0
0 2 2
0 1 0
3 2 3
10 7
0 0 2
1 1 1
1 3 2
3 3 2
3 3 1
1 3 3
2 1 2
3 1 0
1 1 0
0 1 2
10 7
1 0 0
0 0 1
3 0 2
0 3 1
3 0 3
1 2 0
3 3 0
3 3 3
1 1 2
1 3 3
10 8
0 1 1
0 0 0
0 2 0
0 1 2
0 2 2
0 1 0
2 1 0
0 0 1
2 0 0
1 0 2
10 2
0 0 3
2 2 1
3 2 1
2 2 0
0 0 0
3 2 3
1 2 2
1 3 1
0 2 1
1 1 2
10 8
0 0 0
2 2 1
0 2 0
0 1 0
2 0 0
1 2 0
0 0 1
1 2 2
1 2 1
0 2 2
10 4
0 3 2
3 0 3
3 1 1
2 2 2
0 1 2
2 0 2
3 1 0
3 3 3
1 2 0
1 2 2
10 6
3 3 1
0 1 0
1 2 2
3 2 1
3 0 2
1 2 1
1 2 3
0 0 1
1 0 3
2 1 3
10 2
1 2 1
2 2 0
0 0 2
2 2 1
2 1 1
1 2 0
2 1 2
1 0 2
2 2 2
0 1 0
10 4
0 3 1
2 2 1
1 2 0
1 0 3
0 1 2
3 3 2
0 1 1
2 3 3
1 2 2
1 1 1
10 3
2 1 1
0 2 2
1 1 0
0 1 0
0 0 0
1 0 0
2 2 2
2 0 2
0 1 2
2 0 0
10 3
0 2 2
2 0 2
1 0 1
1 1 0
2 2 2
0 1 2
1 2 0
2 2 0
2 1 1
0 2 1
10 5
0 0 2
2 2 1
0 1 2
0 0 1
2 2 2
0 1 1
0 1 0
2 1 0
1 0 0
1 2 1
10 9
1 2 2
1 2 0
2 2 0
3 1 0
3 0 0
1 2 3
3 1 3
1 0 0
0 0 1
3 3 0
10 3
3 0 3
0 3 1
2 2 0
2 3 0
1 0 0
2 1 1
1 3 2
2 1 0
1 2 0
1 1 3
10 7
1 0 0
0 1 3
0 0 2
0 3 3
2 1 3
3 2 3
1 2 1
3 2 0
3 1 0
1 3 2
10 4
0 0 0
2 3 0
2 0 1
3 2 1
3 3 2
1 3 2
3 3 1
0 3 3
1 2 0
1 0 3
10 3
2 1 3
0 3 1
2 0 3
3 0 0
2 2 3
0 1 1
0 3 3
3 2 3
0 3 0
3 3 0
10 9
2 0 1
2 3 2
1 2 0
0 0 1
1 0 1
3 1 1
2 3 3
0 2 1
0 3 3
0 0 2
10 4
2 1 1
2 0 0
0 0 2
0 1 1
0 2 1
1 1 1
0 2 0
0 2 2
2 0 2
2 2 2
10 9
2 1 2
0 0 1
1 0 1
0 2 2
0 1 0
2 2 0
1 0 0
0 1 1
1 0 2
0 0 2
10 4
3 0 0
2 2 2
1 3 3
3 2 2
0 2 0
0 1 0
3 2 1
1 0 0
2 3 1
0 0 0
10 5
0 1 0
0 2 2
1 0 1
1 1 0
0 0 1
0 1 1
0 2 1
2 1 1
2 2 2
2 2 0
10 9
1 0 2
2 1 0
2 2 3
3 3 3
2 3 2
0 3 3
3 1 0
1 3 2
3 3 1
0 1 3
10 4
1 0 3
2 2 2
2 1 1
3 3 2
3 3 0
1 2 2
1 3 0
0 0 0
3 1 3
2 2 3
10 4
3 1 0
0 0 0
0 0 3
3 2 2
0 1 0
2 2 0
1 3 3
1 0 1
3 3 1
3 2 3
10 9
1 0 2
2 1 2
2 2 2
1 1 2
1 2 2
1 0 0
2 0 1
0 1 2
2 2 0
1 0 1
10 7
0 2 2
0 0 0
0 1 0
2 2 0
0 2 0
1 0 1
0 0 2
2 0 2
1 1 1
1 2 1
10 3
0 1 1
0 0 1
0 2 3
2 0 0
1 2 1
0 0 3
0 3 2
3 3 0
1 3 1
1 1 3
10 5
0 1 1
2 0 1
1 2 0
1 2 1
2 2 2
1 1 1
0 0 0
2 0 0
1 1 0
2 2 1
10 5
2 3 2
0 2 2
2 0 2
2 1 1
0 2 1
0 2 0
3 3 1
1 2 3
2 2 0
2 0 1
10 7
3 0 0
1 0 1
3 1 1
0 1 3
2 0 1
2 1 0
0 3 0
2 2 0
0 2 1
0 3 2
10 6
2 1 3
3 0 0
1 2 0
2 3 3
2 1 0
1 3 0
1 0 0
3 0 3
0 1 2
1 0 2
10 6
0 0 1
1 2 1
0 0 0
1 1 2
0 1 1
2 0 2
0 0 2
2 1 2
2 0 1
0 2 0
10 2
1 1 1
0 2 0
2 0 0
2 1 1
2 0 1
1 2 2
1 1 2
0 0 2
0 0 0
2 0 2
10 2
2 1 0
0 0 1
0 0 2
2 0 2
0 1 2
0 1 0
2 0 0
0 1 1
2 1 1
1 1 0
10 8
1 2 2
1 0 0
1 0 2
2 0 1
1 1 1
0 2 2
2 2 2
0 1 1
2 2 0
0 2 0
10 5
1 1 0
2 1 3
1 1 2
3 3 1
0 1 3
0 2 0
0 1 1
2 0 2
1 1 1
0 3 0
10 5
1 1 2
0 1 0
2 2 0
1 1 0
0 2 2
0 0 1
2 2 1
0 2 1
2 1 1
0 0 2
10 2
2 1 1
0 1 1
1 1 2
2 2 0
2 2 1
2 1 0
2 0 0
1 2 0
1 2 2
2 0 1
10 9
0 1 1
2 2 1
0 0 2
2 2 0
0 2 1
1 2 1
1 1 0
2 1 1
1 0 0
1 1 1
10 8
0 3 3
1 3 1
1 3 3
2 1 0
2 2 2
0 2 0
3 3 0
3 3 3
1 0 0
0 0 3
10 5
1 1 3
2 0 0
1 1 1
1 1 2
1 2 3
3 0 1
3 0 3
2 2 0
2 1 3
2 0 3
10 5
0 0 2
1 1 0
1 1 2
0 1 1
1 1 1
0 1 2
0 0 0
2 1 1
0 0 1
2 2 1
10 2
2 1 2
2 1 0
2 2 2
0 1 2
2 0 2
1 0 2
0 1 0
1 2 2
1 0 1
1 0 0
10 9
2 0 0
2 1 2
0 0 2
1 2 1
1 0 0
2 1 0
1 1 0
2 2 1
0 1 0
2 2 2
10 5
2 2 0
2 0 2
1 1 2
1 2 2
1 1 1
1 2 1
2 2 1
0 0 2
1 1 0
0 2 0
10 8
1 2 0
0 1 2
1 2 1
2 2 2
1 0 0
0 0 2
1 1 1
1 0 2
0 0 0
1 1 2
10 8
2 1 0
0 0 1
1 0 2
1 2 0
0 2 0
0 1 2
0 0 2
2 0 0
1 0 1
1 2 1
10 8
1 1 3
1 2 3
3 2 1
0 2 3
2 3 0
0 3 1
2 2 0
3 1 1
1 3 1
1 1 2
10 2
0 1 1
0 0 0
2 1 2
2 0 0
0 2 2
1 2 2
1 0 2
2 2 1
1 2 1
1 1 1
10 3
1 0 2
2 2 2
0 1 0
0 0 0
0 1 1
0 0 2
2 1 0
1 2 2
1 1 2
2 2 0
10 3
2 0 2
2 2 0
0 2 2
1 0 1
0 2 0
1 1 2
2 1 0
1 2 2
2 0 0
1 0 2
10 8
2 2 1
0 1 0
2 0 2
0 1 2
1 2 2
2 1 2
0 2 1
1 0 0
1 2 0
1 1 2
10 9
3 3 3
1 1 1
1 1 0
1 3 2
2 1 2
0 1 2
2 0 3
0 2 0
3 0 2
0 0 3
10 2
0 2 2
2 1 1
1 1 1
1 0 0
2 1 0
2 2 2
0 2 0
2 0 1
2 2 1
1 2 2
10 6
0 2 2
2 2 0
0 0 2
1 0 1
0 0 0
1 2 2
2 0 2
0 1 2
2 2 1
1 0 0
10 8
1 1 1
2 2 1
2 0 1
0 2 1
0 0 2
0 2 0
2 1 1
1 2 0
0 2 2
1 0 0
10 6
1 0 0
1 1 1
2 2 0
2 1 2
2 0 0
2 1 1
1 2 2
2 1 0
0 0 2
0 2 1
10 7
1 1 0
1 1 1
2 1 1
0 1 1
1 2 2
1 0 0
1 1 2
0 2 1
1 0 2
0 1 0
10 9
0 3 3
3 2 0
1 3 0
2 2 0
0 1 3
2 3 3
0 3 2
0 2 0
1 3 3
3 3 0
10 6
2 1 0
0 0 2
0 2 3
0 1 3
0 1 2
2 1 1
3 0 3
3 3 2
2 3 3
1 2 0
10 4
1 0 0
2 1 0
2 0 0
2 2 0
0 1 2
0 1 0
0 1 1
0 2 0
1 1 2
0 0 2
10 4
0 0 0
1 3 1
2 0 0
3 1 2
2 2 0
0 2 1
1 0 1
2 1 3
1 1 1
0 1 1
10 4
1 0 0
2 0 0
2 1 2
1 2 0
2 2 1
2 2 0
1 2 1
0 0 2
1 0 1
0 1 1
10 3
3 1 3
1 3 1
0 1 0
1 2 3
0 0 0
3 1 2
0 0 2
2 3 0
0 3 2
2 2 0
10 5
2 3 2
2 0 2
1 2 2
1 2 3
1 1 3
0 1 3
0 3 0
2 3 0
3 0 2
0 1 2
10 8
0 1 0
2 0 1
3 1 1
3 1 2
2 0 0
1 1 1
3 0 2
0 3 3
3 0 1
2 1 2
10 4
3 1 1
1 1 0
1 3 2
3 0 3
1 1 1
3 2 3
0 2 3
1 0 2
1 1 2
1 3 0
10 9
2 0 1
1 2 0
2 2 2
1 1 0
2 1 2
1 0 2
2 1 0
1 0 0
2 0 0
0 2 1
10 9
0 2 2
0 2 3
0 3 3
3 1 2
2 0 2
2 2 1
3 2 1
2 2 0
1 2 3
0 1 2
10 4
0 2 2
0 2 0
1 3 3
1 3 0
2 1 3
1 1 0
2 2 1
2 0 0
2 3 2
1 1 3
10 6
0 1 1
2 1 0
2 2 1
2 2 2
2 2 0
1 1 0
1 2 0
0 1 0
1 0 2
0 0 0
10 6
0 2 1
2 2 0
1 0 2
0 2 2
0 2 0
0 1 0
0 1 1
0 0 2
2 1 2
2 1 0
10 7
2 1 0
3 1 0
3 0 3
1 0 3
3 0 1
1 1 3
2 2 1
2 3 2
3 1 3
0 3 3
10 4
2 2 1
1 0 1
0 2 0
0 2 2
2 2 0
2 0 1
2 0 0
2 1 1
1 2 0
1 0 2
10 5
1 1 1
1 0 1
2 1 0
2 1 2
2 1 1
1 1 0
0 1 0
2 0 0
0 2 0
0 0 0
10 5
0 0 1
1 0 2
1 0 0
0 2 1
1 1 2
0 2 2
2 1 2
1 0 1
0 0 0
2 1 1
10 4
3 1 1
2 3 1
2 1 2
1 0 2
2 1 3
0 2 3
3 1 2
2 1 1
2 3 0
2 3 3
10 7
1 2 1
1 0 2
1 0 1
1 1 1
0 2 0
2 1 0
0 0 0
2 2 2
0 0 2
1 1 0
10 8
0 2 2
2 0 2
0 3 3
1 2 2
2 1 3
1 1 2
0 2 0
3 0 1
0 0 2
0 1 1
10 4
1 3 2
2 2 3
1 3 1
1 0 2
2 3 1
2 1 2
2 3 0
1 0 0
0 3 3
3 1 2
10 9
2 2 2
2 0 1
0 0 1
2 0 2
1 0 0
0 0 2
2 1 1
1 1 0
1 2 2
1 1 2
10 4
1 2 3
2 1 3
2 0 0
3 3 0
2 1 1
1 0 2
1 3 3
3 2 1
2 2 2
3 0 3
10 4
2 0 2
0 0 1
0 3 3
2 3 2
3 3 3
0 2 0
1 0 0
2 3 1
1 0 3
3 1 0
10 8
0 0 0
1 0 2
2 0 0
0 1 0
2 1 2
2 1 0
2 1 1
2 2 2
0 0 1
1 2 2
10 3
0 1 1
2 1 1
0 2 0
2 1 2
0 2 2
1 1 2
1 0 1
2 2 2
2 2 1
1 1 1
10 7
2 1 2
0 2 1
2 0 0
1 1 0
0 1 0
0 2 0
0 0 2
1 1 1
0 2 2
1 0 0
10 7
1 0 1
1 3 3
0 2 3
1 0 0
0 3 0
3 1 3
3 2 1
0 1 1
3 0 1
3 2 2
10 7
0 0 3
0 1 3
1 0 0
2 2 3
2 2 0
3 3 0
2 2 1
1 1 2
3 0 1
0 1 0
10 4
0 1 1
0 0 1
0 0 2
2 1 2
0 1 2
1 2 2
1 2 0
2 1 1
0 1 0
2 2 2
10 8
1 1 0
0 0 2
2 1 0
0 1 2
0 0 0
0 2 1
1 0 0
2 0 1
1 1 1
1 2 2
10 9
3 1 2
2 3 2
3 2 0
1 1 0
3 2 2
1 1 1
3 3 2
1 3 0
1 2 1
2 1 2
10 2
0 3 2
3 0 1
3 2 0
2 2 0
0 1 0
3 3 2
1 2 0
3 2 1
2 1 1
1 0 0
10 5
2 3 0
1 2 2
3 3 3
1 3 2
3 2 0
3 1 2
2 1 1
3 0 0
0 0 0
1 3 1
10 6
0 0 0
2 0 2
0 2 2
0 1 0
0 0 1
2 1 0
2 2 1
0 2 1
0 2 0
2 2 0
10 5
2 2 2
2 0 0
0 0 2
2 1 0
2 1 2
0 0 0
0 1 2
1 0 0
1 2 2
2 2 0
10 8
1 2 2
3 3 2
1 3 2
3 0 2
2 3 0
2 2 3
3 1 1
0 0 1
2 1 3
1 2 1
10 4
1 1 2
2 2 0
0 2 2
0 1 2
1 2 0
2 0 0
0 3 3
1 0 3
2 2 2
2 1 2
10 6
1 0 1
2 1 0
1 1 0
1 2 2
0 2 0
0 1 2
2 2 0
2 2 2
0 0 2
2 1 2
10 6
0 2 2
1 0 0
1 1 1
2 2 0
0 1 1
2 1 0
1 2 1
2 2 2
1 2 0
2 2 1
10 9
2 2 2
2 2 1
2 1 0
2 1 1
0 0 2
1 1 1
2 1 2
1 2 0
1 1 2
2 2 0
10 2
2 0 1
2 2 1
3 3 3
1 3 2
0 1 3
1 0 0
3 1 3
3 3 1
2 1 3
3 0 2
10 2
3 1 2
1 3 0
3 0 3
3 3 0
3 1 1
3 2 3
0 1 0
3 0 2
2 0 3
3 3 2
10 2
1 1 0
3 2 2
1 0 2
2 1 3
3 3 1
3 1 2
3 3 0
2 0 0
1 1 1
0 1 1
10 5
0 3 1
1 3 3
0 3 0
2 0 0
1 1 3
3 2 0
0 0 2
3 2 1
1 2 3
0 1 2
10 9
0 2 1
1 2 2
1 1 2
3 3 3
0 1 0
2 3 3
3 0 0
2 0 2
1 1 0
1 2 1
10 2
2 2 2
3 2 3
0 3 2
2 2 1
3 0 1
0 2 2
1 3 2
1 3 3
0 2 1
2 2 0
10 4
2 1 1
1 1 2
1 1 1
0 1 0
0 2 2
1 2 0
1 2 2
2 2 2
1 0 0
0 0 1
10 9
3 0 2
0 1 1
1 0 3
0 2 3
3 2 2
3 2 1
0 1 3
3 3 3
3 3 1
1 1 0
10 5
0 2 2
1 2 2
1 0 1
1 3 0
3 3 3
3 0 3
3 1 2
0 3 0
0 2 1
1 1 0
10 4
1 2 2
3 3 3
0 1 3
3 1 0
0 1 2
0 3 1
1 1 0
1 1 1
3 0 2
0 2 3
10 7
1 1 2
2 2 0
0 0 2
1 1 0
1 2 0
0 2 1
2 0 0
1 2 1
2 0 2
2 2 2
10 8
1 1 2
2 2 0
0 2 0
0 0 0
2 1 2
1 2 2
2 2 1
1 1 1
2 1 0
2 0 1
10 7
2 3 1
2 0 0
1 3 2
2 2 3
1 3 0
3 2 0
0 0 1
3 0 3
3 1 1
2 1 3
10 8
0 0 2
1 2 0
0 2 2
1 0 2
1 2 1
0 2 0
2 1 0
0 0 0
0 1 2
1 1 2
10 8
1 3 2
0 3 1
1 0 0
0 0 3
3 0 2
3 0 1
1 0 1
1 0 2
3 1 0
2 1 3
10 2
1 2 0
1 0 0
0 1 2
0 0 1
0 1 0
2 2 2
1 1 1
1 1 0
1 1 2
0 0 2
10 7
0 2 2
1 2 0
2 1 0
0 1 1
2 0 2
1 0 0
0 0 2
2 2 2
0 2 0
1 1 0
10 6
1 2 3
3 2 2
3 0 2
2 3 3
0 1 3
2 1 2
2 0 3
0 3 0
0 0 0
2 3 2
10 7
2 1 1
0 0 0
2 1 0
0 0 2
0 2 2
0 2 0
2 0 2
2 2 2
0 1 0
1 0 2
10 3
1 1 1
1 1 2
1 2 0
1 0 1
2 1 0
2 0 1
0 2 0
0 0 0
2 2 2
2 2 0
10 6
1 0 2
0 1 2
1 1 0
1 2 2
0 1 0
0 2 1
2 2 2
2 1 0
2 0 2
1 0 1
10 9
0 2 0
0 1 1
0 2 2
0 1 2
1 0 2
2 0 0
2 2 2
2 0 1
1 0 0
1 1 1
10 2
1 1 1
0 1 2
2 0 1
1 2 1
0 0 0
0 0 1
2 2 2
1 2 2
1 1 2
0 1 1
10 9
1 2 1
1 2 2
0 1 3
2 2 1
3 2 0
0 0 1
3 1 0
3 1 2
0 3 3
1 3 0
10 9
2 1 0
1 2 1
0 1 1
2 0 2
0 0 0
0 1 0
0 0 1
0 2 1
2 0 0
1 1 1
10 6
0 2 0
0 1 3
3 2 1
2 0 0
1 3 2
2 1 2
3 0 1
3 0 2
3 1 3
1 0 2
10 9
0 1 2
0 0 0
1 1 1
2 0 0
0 0 1
1 1 2
2 1 1
1 1 0
0 2 0
1 0 1
10 7
0 0 2
1 0 1
0 2 1
0 1 0
2 2 1
2 1 0
1 2 1
2 2 2
2 1 1
1 2 2
10 5
1 1 2
0 0 0
0 2 1
0 1 2
1 2 0
2 2 2
2 1 2
0 0 1
0 1 1
0 2 2
10 5
0 2 0
1 0 2
2 1 1
0 1 2
2 2 2
2 2 0
1 2 0
1 1 1
0 0 1
1 2 1
10 5
1 0 1
0 0 1
0 0 2
1 2 1
0 1 2
1 1 0
1 2 2
2 0 1
1 0 2
1 1 2
10 2
2 2 0
1 2 2
0 1 2
2 1 0
0 2 2
2 0 1
2 0 0
2 0 2
0 0 2
0 0 1
10 3
3 0 3
0 1 0
1 1 2
2 2 3
0 3 1
0 3 3
3 2 3
3 0 2
3 0 1
0 2 0
10 2
1 2 0
0 2 0
2 2 0
0 0 2
0 2 2
1 0 2
2 2 2
2 0 1
1 1 0
1 1 2
10 9
1 0 0
2 1 0
1 0 1
0 1 1
1 2 0
2 0 1
2 1 1
1 1 2
2 2 0
2 0 2
10 7
1 3 0
0 3 0
3 2 3
1 3 2
2 0 1
1 1 1
3 3 1
1 3 3
0 1 2
1 2 2
10 4
1 0 0
0 2 2
0 2 0
0 2 1
2 1 0
0 0 0
0 1 0
2 1 1
0 0 2
1 2 1
10 7
2 1 1
0 1 1
1 1 0
0 1 0
0 1 2
0 0 2
2 2 0
1 2 0
2 0 0
1 2 2
10 9
0 3 1
3 1 3
1 1 2
1 2 1
2 2 0
2 2 2
0 1 3
2 1 0
2 1 2
2 3 2
10 5
1 1 0
2 2 1
1 0 2
1 1 1
1 2 1
1 0 1
0 2 0
0 2 1
1 2 0
1 2 2
10 3
1 2 1
0 2 0
2 1 0
0 0 1
1 0 2
0 2 1
0 1 2
2 0 2
2 0 0
1 1 1
10 9
0 1 0
2 2 2
0 0 0
1 1 2
1 2 0
2 2 0
2 0 1
2 1 0
0 0 2
0 1 1
10 9
2 0 1
1 1 1
2 1 0
2 2 0
1 2 2
1 1 2
0 0 0
2 1 2
1 2 1
0 0 1
10 4
2 3 1
2 1 2
2 2 3
3 0 2
0 1 1
1 0 0
3 0 0
0 0 1
2 2 1
1 1 3
10 2
0 2 1
3 1 0
3 3 1
2 3 0
1 3 0
2 1 0
2 0 2
1 0 3
1 0 1
1 1 0
10 4
2 1 1
0 0 2
2 1 2
1 2 2
2 2 1
1 2 0
1 0 0
1 2 1
1 1 2
0 2 0
10 8
2 3 1
2 0 0
2 0 3
0 3 2
3 1 3
2 2 2
1 3 2
0 2 2
1 1 1
3 2 1
10 9
2 0 2
0 2 2
2 1 1
0 0 0
0 2 1
2 1 2
0 0 2
2 0 1
2 2 0
0 1 0
10 5
0 0 1
1 0 1
0 2 0
0 1 2
1 1 2
0 1 1
0 0 2
1 0 0
1 2 2
2 0 2
10 7
1 1 0
2 2 0
0 0 2
2 0 2
2 1 2
2 2 2
0 1 0
1 0 0
1 2 0
1 0 1
10 4
3 2 0
1 0 1
0 2 0
1 1 1
0 3 3
0 1 0
0 0 3
1 0 3
0 0 0
3 1 0
10 8
0 0 1
0 0 0
2 0 0
2 2 2
2 1 0
1 1 0
2 0 2
1 2 2
2 2 1
0 1 1
10 7
1 1 1
0 1 2
2 1 0
1 2 1
2 2 2
2 2 1
0 2 1
1 0 2
1 2 2
1 2 0
10 9
2 0 3
3 2 3
2 2 0
0 3 3
3 2 1
3 3 0
3 0 1
3 0 2
2 1 1
1 2 2
10 2
1 1 1
2 0 1
0 1 0
2 1 2
1 2 0
2 1 0
2 2 1
2 2 2
1 0 1
2 1 1
10 9
2 2 1
0 2 3
2 0 2
0 2 2
1 1 3
2 0 3
3 0 1
0 0 2
2 3 0
2 1 1
10 6
3 0 1
3 0 3
3 1 0
0 1 3
3 2 3
1 2 3
0 1 1
1 0 1
0 3 0
2 0 3
10 5
0 2 2
2 1 0
2 1 2
1 0 0
2 1 1
1 1 1
0 0 2
0 2 0
0 1 0
1 2 1
10 6
3 1 2
3 0 2
1 0 2
0 2 1
1 1 2
1 0 0
2 1 3
1 2 2
0 1 1
2 1 2
10 6
2 1 1
2 0 1
1 1 1
1 0 1
0 0 1
0 2 0
0 1 2
1 0 0
1 1 0
2 2 0
10 5
2 2 2
0 1 0
2 1 0
0 2 1
2 1 2
2 0 2
2 1 1
1 1 0
0 0 0
1 2 1
10 8
0 3 0
1 1 2
1 3 0
0 2 3
2 0 3
2 2 0
3 2 2
1 2 3
2 1 2
0 1 1
10 5
3 2 0
1 1 3
2 3 1
3 2 3
1 0 1
2 1 0
2 2 3
0 2 2
1 2 2
3 3 1
10 8
3 3 1
2 3 0
0 1 1
3 3 3
0 2 1
0 2 3
0 0 1
1 3 2
3 0 1
0 0 3
10 2
3 2 0
2 2 2
2 2 0
2 0 2
2 1 3
0 2 1
0 1 3
0 3 0
0 3 3
3 0 3
10 8
1 1 2
0 3 3
2 2 3
3 0 1
3 3 1
0 2 1
3 3 0
3 2 0
0 0 3
0 2 2
10 4
2 2 1
1 1 1
2 0 0
0 0 1
0 0 2
1 1 0
1 0 0
2 0 1
0 1 2
1 2 2
10 7
2 1 0
3 3 0
2 0 3
0 2 1
3 3 1
3 3 3
0 0 3
2 1 3
3 2 2
1 3 2
10 6
3 1 1
0 2 3
0 3 2
1 2 2
3 0 0
0 1 0
0 3 3
1 2 3
1 0 2
1 3 1
10 6
0 2 1
0 0 0
2 2 3
0 1 3
0 0 2
1 2 2
3 3 1
2 3 0
2 3 2
1 2 1
10 7
0 1 2
2 0 0
1 0 0
2 2 2
1 0 1
1 2 2
1 0 2
1 1 2
2 0 1
0 0 1
10 6
1 2 2
3 1 3
3 2 1
3 1 2
2 3 0
3 3 2
2 2 0
1 3 2
2 2 1
2 1 1
10 8
2 0 2
0 0 2
2 1 2
1 2 1
1 1 0
2 1 0
0 1 1
2 1 1
1 0 1
1 0 2
10 3
1 0 0
1 1 1
0 2 2
1 2 1
2 0 0
0 1 1
1 2 0
2 1 2
0 2 0
2 2 2
10 4
2 2 1
1 1 2
1 2 0
1 0 2
1 2 1
1 0 1
2 1 2
2 0 2
1 1 0
0 2 1
10 6
2 3 3
0 0 1
3 0 2
3 0 3
3 2 3
1 3 1
3 2 1
2 3 2
2 2 0
3 3 1
10 4
3 1 2
0 1 1
1 0 1
3 0 3
1 2 3
3 3 1
3 3 2
1 1 1
2 2 3
2 0 2
10 5
1 0 1
1 2 0
1 3 2
1 1 3
2 3 1
2 1 1
2 0 0
0 1 3
2 2 0
0 2 0
10 7
0 2 0
2 1 1
1 1 0
0 0 1
2 2 0
0 0 0
2 1 2
1 0 1
2 0 0
0 2 2
10 8
0 0 2
2 0 2
0 1 1
2 0 1
1 1 0
2 2 2
2 2 1
1 2 2
1 1 1
0 0 1
10 8
0 3 0
1 1 3
1 3 2
0 2 2
1 2 0
1 1 0
2 2 3
0 0 3
0 2 3
2 3 2
10 3
2 3 0
2 2 2
1 3 1
3 3 2
0 3 2
1 2 1
1 0 3
1 1 2
0 1 3
2 2 0
10 8
1 0 1
2 2 2
2 0 1
1 2 1
0 1 1
1 0 0
2 0 2
1 1 1
2 0 0
2 2 1
10 7
2 0 1
3 1 3
0 0 1
1 3 3
3 2 3
1 3 1
1 0 1
0 3 0
0 3 2
3 2 1
10 4
2 2 3
2 0 0
0 1 2
3 1 1
1 0 3
0 0 0
1 0 2
0 3 1
0 3 2
2 1 2
10 7
0 1 0
2 0 2
0 2 0
1 0 1
2 1 2
1 1 2
1 2 2
1 1 0
1 2 1
0 0 2
10 2
0 0 2
2 1 2
2 2 0
2 2 2
2 1 1
0 1 1
1 1 1
0 2 1
0 2 2
0 0 1
10 4
3 1 1
2 2 3
1 2 2
2 1 3
2 1 1
2 3 3
1 2 1
0 2 2
3 1 0
1 0 1
10 4
0 2 1
1 2 1
0 1 1
0 0 0
2 0 0
0 2 0
0 1 0
1 0 0
2 2 1
1 1 1
10 8
0 1 2
0 1 0
0 2 1
0 0 0
1 2 2
2 2 0
1 1 0
1 2 1
1 1 1
0 2 0
10 6
1 1 2
2 2 0
0 1 1
1 0 1
0 1 2
0 0 2
1 2 2
2 1 1
1 2 1
2 1 2
10 5
2 0 0
0 1 0
1 2 1
1 0 1
0 2 0
2 2 1
2 0 1
0 2 1
1 1 0
0 0 0
10 7
2 0 0
2 3 2
0 0 3
3 2 1
1 3 3
2 1 0
1 3 0
1 1 1
2 3 0
0 1 2
10 6
1 3 1
3 2 1
3 1 2
1 1 1
3 3 0
2 1 2
0 1 2
3 0 1
1 3 0
2 2 0
10 7
2 0 1
2 2 1
0 1 0
1 0 2
2 2 0
0 1 2
2 1 0
2 2 2
0 1 1
1 1 0
10 8
0 2 0
3 1 3
0 2 1
2 2 3
3 3 1
0 3 1
2 3 3
1 2 3
1 3 1
0 3 3
10 8
2 1 3
2 1 1
0 2 0
3 1 3
3 3 0
0 1 3
3 3 3
0 0 0
1 1 2
1 0 2
10 2
2 0 3
2 3 3
0 2 2
3 3 3
2 0 1
3 0 0
2 1 0
3 2 3
1 0 3
1 0 2
10 3
2 2 2
2 0 1
2 0 3
0 3 2
3 0 3
0 3 1
2 0 0
1 1 0
1 3 2
2 2 0
10 9
1 3 2
2 1 3
3 2 2
0 3 1
1 3 1
2 0 2
0 1 0
3 1 2
1 2 1
2 1 2
10 9
0 1 0
0 1 2
1 2 0
2 1 1
2 0 0
2 1 0
2 2 1
1 0 2
2 2 0
1 0 0
10 5
0 0 1
0 2 3
2 2 2
0 3 1
2 1 0
1 2 2
0 2 2
3 0 3
1 2 0
3 3 1
10 9
3 0 1
3 3 0
0 3 1
0 1 0
2 0 0
0 3 3
3 1 3
2 0 2
1 2 0
3 2 2
10 9
0 1 0
3 2 1
0 0 3
1 3 1
3 0 0
0 2 2
3 3 1
0 0 1
2 0 3
2 2 1
10 2
3 3 2
0 2 0
1 1 2
1 3 1
1 3 3
0 0 3
2 3 3
2 0 2
3 0 0
3 1 3
10 5
1 1 3
0 0 1
0 3 2
2 1 0
1 0 3
0 1 1
0 1 0
1 1 2
2 2 2
2 0 2
10 4
0 3 0
0 3 1
0 1 0
1 0 0
3 1 0
2 3 2
3 0 1
1 2 0
1 0 1
2 2 1
10 8
3 2 3
1 3 2
3 1 3
0 3 0
0 0 0
2 1 0
0 2 0
1 3 3
1 0 1
0 0 2
10 7
3 3 2
3 1 2
1 2 2
1 2 1
2 2 2
1 0 2
3 3 1
0 0 0
0 0 2
2 0 1
10 8
0 3 2
0 0 0
0 1 0
3 3 0
3 3 1
3 2 0
1 2 1
1 0 2
3 2 3
3 2 1
10 4
1 0 3
2 1 0
0 2 1
2 0 3
3 0 0
3 0 3
0 0 1
2 0 2
0 0 0
0 1 1
10 8
2 0 0
0 3 3
1 2 3
3 2 0
0 3 2
2 3 2
1 0 3
1 1 0
2 2 0
1 2 1
10 7
2 0 2
1 1 2
1 2 2
1 0 1
2 1 2
2 1 0
2 0 0
2 1 1
2 2 0
1 0 0
10 8
3 3 0
3 2 0
3 0 2
3 2 1
1 1 1
2 2 3
2 2 0
2 2 1
1 0 3
3 1 2
10 2
2 2 2
2 2 0
0 0 0
0 0 2
2 2 1
1 1 2
2 0 1
0 1 2
2 0 0
1 0 1
10 5
3 3 3
3 0 2
1 2 0
2 3 3
1 1 3
1 0 2
0 0 2
3 1 2
3 2 1
2 3 2
10 6
3 1 2
2 3 2
1 1 2
0 0 2
3 0 2
3 0 3
0 0 3
1 1 1
1 3 0
1 0 0
10 2
1 1 1
1 1 2
2 1 2
1 1 0
0 2 2
1 0 2
0 0 2
2 2 2
2 1 1
2 0 1
10 9
2 0 0
0 0 2
2 1 2
2 2 2
0 1 1
2 2 1
0 2 2
1 1 0
0 1 2
1 2 0
10 8
0 1 1
0 0 2
1 0 2
2 0 1
0 0 1
2 2 2
0 2 1
1 0 0
1 1 0
0 0 0
10 2
1 0 1
1 0 0
0 0 0
0 1 2
1 2 2
2 2 1
0 2 2
0 0 2
1 1 2
2 0 2
10 7
0 2 2
2 1 2
2 2 2
2 2 0
0 1 1
0 0 1
0 2 0
0 1 2
0 0 0
2 0 1
10 5
3 3 3
1 2 0
2 0 2
3 0 2
3 3 1
0 2 1
0 1 3
0 1 1
1 3 0
2 0 0
10 4
1 2 2
2 0 1
1 1 2
2 2 0
1 0 1
0 0 1
0 2 0
0 1 2
0 1 0
0 2 1
10 8
1 0 3
1 2 1
3 1 3
3 3 1
1 1 3
3 0 2
1 2 0
2 2 1
3 0 3
0 3 1
10 9
2 0 1
2 1 0
2 1 1
2 2 0
1 1 0
1 1 2
0 2 2
0 1 1
0 0 0
0 2 0
10 7
0 3 2
1 3 0
0 0 2
1 0 3
2 1 3
3 0 0
0 2 1
2 1 1
0 1 2
1 1 2
10 4
1 2 1
0 0 1
2 0 1
0 0 2
0 2 2
0 1 0
2 1 0
1 0 1
2 2 0
0 0 0
10 2
0 2 2
1 2 2
1 1 0
1 2 1
0 0 0
0 1 2
2 1 0
1 0 2
1 0 0
2 2 0
10 6
1 0 0
2 2 0
2 1 1
2 2 2
1 2 1
2 0 0
2 1 2
2 0 2
2 1 0
1 0 2
10 6
0 0 0
1 0 2
2 3 3
3 1 0
3 1 1
2 3 1
3 2 1
3 2 0
2 0 1
1 1 1
10 8
2 3 2
1 0 1
1 0 3
1 0 2
0 1 3
2 0 2
3 0 0
0 0 3
0 3 0
1 2 1
10 8
1 3 2
1 1 3
2 3 0
1 1 2
3 2 1
3 3 2
2 3 2
0 2 3
3 0 2
0 1 2
10 5
0 2 2
0 2 1
1 0 1
1 2 0
1 2 2
0 1 0
2 0 0
2 2 2
2 0 1
1 2 1
10 4
2 1 1
0 1 2
2 2 1
3 0 3
0 3 2
0 2 2
2 1 3
3 2 2
3 0 0
2 3 0
10 8
2 1 1
0 2 1
0 3 0
1 0 0
2 1 3
3 1 2
3 1 1
1 2 3
1 0 1
3 0 1
10 2
0 1 2
1 2 2
0 1 0
2 1 1
1 0 0
2 2 2
1 1 0
1 0 2
1 1 1
0 2 1
10 5
2 0 0
1 0 1
0 0 0
2 0 1
1 0 2
0 1 1
2 1 1
2 2 1
2 0 2
0 0 1
10 6
0 0 0
2 1 3
2 1 1
1 0 2
0 2 3
2 1 0
2 0 3
0 0 2
2 2 0
1 2 0
10 6
2 2 1
2 0 2
1 1 1
1 2 0
2 1 0
2 2 2
1 1 0
1 0 2
1 0 0
2 2 0
10 5
2 3 2
2 0 1
2 0 2
1 3 1
3 1 2
3 0 1
1 0 1
3 3 3
0 2 1
2 3 1
10 2
3 3 2
2 1 3
2 1 0
1 3 3
2 2 1
3 2 3
3 2 2
0 0 0
1 0 0
1 2 1
10 3
1 1 1
2 3 1
2 0 0
3 1 2
1 0 2
1 2 0
2 0 2
3 0 3
2 1 2
1 3 1
10 6
1 3 0
3 3 1
2 1 2
1 1 1
1 2 3
1 2 2
1 1 3
0 0 2
2 3 0
0 1 2
10 9
1 0 1
1 2 2
2 2 0
2 2 1
1 1 0
2 0 0
0 1 1
0 0 0
2 1 1
2 1 0
10 8
2 1 3
1 2 0
2 0 0
1 2 3
1 1 1
0 3 2
2 0 3
1 3 2
0 1 2
1 2 1
10 8
3 0 0
0 1 1
3 3 0
0 3 0
2 0 3
1 1 2
2 1 3
0 2 0
2 3 3
0 3 1
10 3
0 2 0
2 2 2
3 0 2
2 1 3
2 2 3
1 0 0
1 1 1
1 2 2
3 1 0
3 3 1
10 2
1 0 0
3 1 3
2 1 2
0 3 0
2 1 0
2 0 0
1 3 0
2 0 1
0 2 0
3 3 3
10 6
3 0 0
2 0 3
0 2 0
3 0 2
0 2 1
0 3 3
0 2 2
3 2 2
2 0 1
2 0 0
10 9
3 0 2
1 1 0
1 0 3
0 1 3
1 3 3
3 3 2
2 3 0
1 3 2
3 0 0
2 0 0
10 9
0 2 1
1 2 1
1 2 2
2 2 0
1 0 2
2 1 0
1 0 1
2 2 1
2 0 2
0 2 2
10 7
0 2 1
2 0 2
3 0 2
3 3 2
2 3 3
3 1 2
2 1 0
1 2 2
3 0 0
0 0 1
10 4
3 2 3
1 3 2
1 3 1
2 2 2
0 2 0
2 1 3
2 2 3
1 1 1
3 3 0
1 1 0
10 3
2 2 2
2 0 2
0 0 0
2 2 0
1 1 0
1 0 2
0 0 1
2 2 1
0 2 1
1 2 0
10 9
0 1 3
1 1 0
1 0 2
3 2 0
1 0 0
0 1 0
2 2 2
2 0 2
0 3 0
2 3 1
10 3
3 3 3
0 2 1
1 0 1
2 3 0
3 2 3
1 1 1
2 2 0
0 1 0
2 2 3
3 1 0
10 9
0 2 0
2 1 0
0 1 1
2 1 1
2 0 0
1 0 2
0 1 2
2 2 1
2 0 2
2 1 2
10 4
2 2 2
3 2 0
2 0 2
3 1 1
2 0 0
3 3 2
2 0 3
3 3 1
3 0 2
2 1 2
10 9
2 1 2
1 2 1
0 2 2
0 0 0
1 1 0
0 2 1
0 0 1
1 0 2
2 0 1
1 0 1
10 4
2 1 0
2 0 1
2 0 0
0 0 0
0 2 2
0 2 0
0 0 2
1 1 0
0 1 0
1 0 0
10 8
1 0 0
3 3 0
2 0 3
3 0 0
0 1 2
2 1 3
1 3 1
2 2 1
2 2 0
0 3 0
10 2
1 0 0
0 1 0
1 1 1
1 2 2
0 1 2
1 1 2
2 1 2
0 0 1
1 2 0
2 0 1
10 3
1 1 3
0 2 0
0 1 3
2 0 1
3 0 2
0 3 3
3 1 3
2 2 0
1 0 3
1 1 2
10 2
3 0 1
1 2 3
0 1 2
0 1 1
2 0 0
0 1 0
3 1 3
2 0 3
1 2 1
2 3 1
10 5
1 2 2
0 2 2
1 1 1
0 1 1
2 1 0
0 1 0
1 0 2
0 0 1
0 0 2
2 0 2
10 8
2 1 0
1 2 2
3 3 2
3 2 0
0 0 1
3 1 3
1 2 3
1 1 3
1 1 1
2 0 2
10 9
1 0 0
0 2 2
1 0 2
1 0 1
2 0 1
0 1 0
1 2 2
0 0 2
0 2 1
0 0 0
10 3
2 1 3
2 3 0
0 1 0
0 3 2
1 2 1
3 1 2
3 3 2
0 2 3
3 2 3
0 3 1
10 8
2 0 0
0 1 2
2 2 2
2 0 1
2 2 1
0 0 1
1 1 0
1 1 1
1 2 2
2 1 1
10 2
2 0 1
2 1 0
1 0 2
1 1 2
2 0 0
1 1 1
0 2 2
0 2 0
1 2 0
0 0 0
10 5
0 2 1
0 0 2
0 1 1
1 1 1
2 1 2
1 0 1
1 2 1
0 2 2
0 1 2
2 2 1
10 2
1 0 0
2 2 1
1 1 2
0 0 1
2 2 2
2 1 1
0 1 2
2 0 2
2 0 0
1 2 2
10 3
0 1 1
0 0 2
0 2 0
1 0 2
0 2 2
2 2 2
1 0 0
1 2 0
2 1 0
1 1 0
10 3
2 0 0
1 2 0
2 2 2
1 0 1
0 0 2
2 1 2
2 1 1
0 1 0
1 0 2
2 2 0
10 5
1 0 0
2 2 1
2 1 1
1 2 0
1 2 2
0 0 1
2 1 0
2 0 2
0 1 0
1 1 0
10 8
2 2 1
0 0 0
2 0 2
1 2 1
0 2 2
0 2 1
1 1 2
0 2 0
2 1 1
2 2 0
10 8
2 2 1
0 2 0
1 2 1
2 1 2
1 1 0
0 1 1
2 0 2
2 2 0
0 2 1
2 1 0
10 5
0 0 0
2 1 0
1 3 0
0 3 0
3 1 3
0 0 3
2 0 3
3 1 0
3 1 1
2 2 2
10 8
1 0 2
1 3 1
2 1 1
3 2 3
0 3 1
3 3 2
1 2 0
1 0 0
2 0 0
2 2 3
10 7
0 3 1
0 3 3
0 0 2
2 0 3
2 2 2
0 2 1
1 2 0
1 3 2
1 2 3
0 3 0
10 2
1 1 0
2 2 1
0 2 1
0 0 2
0 1 2
1 2 2
2 1 0
0 0 1
1 0 2
0 2 0
10 5
0 0 0
0 2 1
1 0 2
1 2 1
2 1 2
0 1 0
2 2 0
2 2 1
1 0 0
0 2 2
10 7
0 1 2
0 2 2
1 1 0
1 2 0
0 2 1
0 1 0
1 1 2
0 0 0
2 2 0
2 0 1
10 4
1 1 1
0 2 1
2 1 1
1 1 2
2 0 0
1 2 0
0 0 0
1 0 1
1 0 2
1 2 1
10 6
0 1 0
2 2 0
0 2 0
1 1 0
2 0 0
2 2 2
1 2 0
0 1 2
2 2 1
2 0 1
10 6
1 2 0
1 1 2
0 2 1
2 2 1
2 0 0
0 1 2
2 0 2
1 0 1
1 0 0
1 2 1
10 5
1 3 3
1 3 0
2 0 1
2 3 3
1 1 3
3 3 0
3 1 2
3 0 3
0 0 3
0 2 1
10 6
0 0 3
0 1 0
0 2 3
1 0 3
3 3 2
1 2 1
2 2 2
0 3 2
3 2 2
2 1 0
10 8
0 2 3
2 2 0
3 3 0
2 2 2
2 0 1
0 3 0
3 0 0
1 1 3
1 1 2
0 2 2
10 4
1 2 2
1 1 1
1 1 2
2 2 0
0 2 2
0 0 1
2 2 2
2 0 2
1 0 0
0 0 0
10 5
0 3 3
3 1 1
3 1 3
3 0 1
1 0 0
0 1 1
1 0 2
2 1 3
0 1 2
1 1 3
10 9
0 2 1
2 0 2
0 0 1
1 1 2
0 1 2
2 2 0
2 1 0
2 1 1
2 0 1
1 2 0
10 9
2 1 1
0 0 1
2 3 1
1 0 2
2 2 0
0 2 0
0 3 2
2 0 0
0 0 0
3 1 0
10 5
1 0 1
1 2 2
0 2 1
0 0 2
2 0 0
1 1 2
0 0 0
2 2 1
2 1 0
1 1 0
10 5
1 1 1
0 0 0
1 2 2
1 0 0
1 0 1
1 1 0
2 0 0
2 1 1
0 1 2
0 0 2
10 7
0 2 2
3 0 3
3 3 2
3 0 1
2 0 2
3 1 0
1 3 2
3 2 3
2 1 0
2 3 1
10 5
0 0 0
2 0 0
0 1 2
1 2 1
0 2 1
0 2 2
1 1 1
2 1 2
1 0 1
2 2 1
10 2
2 0 1
0 0 1
1 0 0
0 1 1
1 2 1
1 1 0
1 1 2
2 0 2
0 2 2
0 1 0
10 5
1 1 1
0 1 1
1 2 2
2 1 0
0 1 0
2 0 1
2 1 2
0 0 1
0 2 1
2 2 2
10 8
3 0 1
0 3 2
2 0 3
2 0 1
1 3 0
0 3 0
2 1 1
1 0 1
1 0 0
3 3 2
10 4
0 2 0
0 0 0
0 1 1
1 0 0
0 2 2
0 1 0
1 1 0
2 0 1
0 0 2
0 0 1
10 5
2 2 1
1 1 0
1 1 2
1 0 0
0 1 0
1 2 2
1 0 2
0 1 2
1 0 1
2 1 1
10 6
1 2 0
2 1 2
2 2 2
0 2 1
1 0 2
0 0 1
1 2 1
0 2 2
2 0 1
2 2 0
10 5
0 2 0
2 2 3
3 1 1
0 3 0
2 3 1
0 0 1
0 2 3
1 3 3
1 2 2
2 0 0
10 3
1 0 2
0 0 1
2 2 2
0 0 0
1 0 0
0 1 1
1 1 2
2 0 0
0 2 0
0 1 0
10 5
1 2 1
0 0 0
0 1 1
2 0 1
1 0 1
2 2 0
1 1 0
2 1 0
1 2 0
1 0 0
10 7
2 0 0
2 2 1
2 1 0
2 1 1
1 2 0
2 2 2
0 0 0
1 0 1
0 0 2
0 1 0
10 5
2 2 2
2 1 1
1 2 0
1 2 2
2 1 2
1 0 0
0 0 0
2 0 0
0 2 1
0 2 0
10 4
3 3 3
3 3 0
1 3 1
1 0 1
3 0 2
0 0 1
0 0 3
1 2 3
1 0 2
1 3 3
10 6
1 2 0
1 0 0
3 3 1
3 1 0
0 3 2
1 2 3
2 1 2
0 3 1
3 2 2
2 0 0
10 7
2 2 1
1 1 2
2 3 2
0 2 3
2 1 0
3 3 1
2 0 0
0 3 3
1 1 3
2 0 1
10 7
2 0 1
1 1 3
1 0 2
0 0 2
1 1 1
0 2 3
3 3 0
2 2 3
3 1 1
0 2 1
10 2
2 3 0
0 0 1
0 1 1
2 1 1
0 2 2
2 1 3
0 0 2
3 1 3
3 0 0
1 1 0
10 6
0 2 0
2 0 2
1 1 2
1 2 1
0 1 0
2 2 1
0 1 1
0 2 1
0 0 1
2 1 1
10 8
0 2 1
1 0 0
2 0 2
2 2 1
1 1 1
1 1 0
1 0 2
1 1 2
0 0 0
0 0 2
10 2
0 1 1
3 3 1
0 0 3
0 3 3
1 0 0
3 2 1
2 0 3
1 0 2
0 2 0
3 1 2
10 9
2 3 0
0 3 0
1 2 1
3 0 1
1 0 1
2 3 1
3 3 3
3 0 0
1 3 2
1 3 1
10 6
1 3 2
1 1 2
3 1 2
3 0 0
1 3 1
0 0 3
2 0 3
0 2 3
0 0 1
3 2 1
10 3
1 2 0
1 0 0
0 2 2
2 1 0
2 1 1
2 0 2
1 2 2
1 1 2
0 0 2
2 2 0
10 8
1 2 1
0 3 2
1 3 0
3 1 0
0 2 1
1 3 2
0 1 2
2 2 2
1 3 3
1 1 0
10 4
2 2 3
1 2 2
1 1 2
0 1 3
3 0 2
1 0 2
0 0 3
1 3 3
3 3 0
1 1 1
10 5
2 0 1
1 1 0
0 2 2
2 1 1
2 0 2
2 2 1
0 2 1
0 0 0
0 0 1
2 1 0
10 5
0 2 0
2 1 1
2 2 0
2 2 1
1 2 2
1 0 2
0 2 1
0 0 2
0 2 2
0 0 1
10 6
0 2 1
1 2 1
0 2 2
2 2 2
0 0 0
1 0 0
1 2 2
2 0 2
0 2 0
0 0 2
10 3
2 2 0
3 0 0
1 1 2
1 1 0
2 2 1
1 2 3
1 3 2
3 1 1
1 3 0
3 3 1
10 2
1 1 1
3 3 1
3 0 0
2 2 3
2 1 0
1 1 2
0 1 2
0 2 1
0 3 0
1 1 3
10 9
0 0 3
1 3 1
0 1 2
1 0 0
3 2 1
1 3 0
1 1 1
0 1 1
2 1 0
0 3 2
10 2
2 0 0
1 0 1
1 0 2
1 2 1
0 0 0
1 1 0
0 1 2
2 1 2
2 2 0
2 0 2
10 8
2 2 0
2 1 1
2 0 0
1 2 0
0 2 1
1 1 1
0 0 1
0 0 2
0 2 2
0 1 1
10 6
2 2 0
2 0 0
0 2 2
0 1 0
1 1 0
1 0 0
2 1 0
0 0 1
0 0 0
2 0 2
10 6
1 1 3
0 0 0
3 2 1
0 2 1
2 3 1
2 3 3
1 3 0
1 3 2
1 2 0
0 2 3
10 4
1 0 1
1 1 1
1 1 0
0 2 0
0 2 2
0 0 0
0 1 2
1 0 0
0 0 2
2 2 1
10 5
0 0 0
0 2 1
0 1 1
2 1 1
1 2 1
2 0 0
1 0 2
2 2 2
1 2 0
2 1 2
10 9
1 2 2
1 2 1
0 2 2
0 2 0
2 0 1
0 1 2
0 1 1
1 1 0
1 0 1
2 1 0
10 5
0 0 1
0 3 0
0 2 1
1 3 0
2 3 2
0 1 2
0 2 2
3 1 1
3 3 3
1 0 1
10 8
0 2 0
1 1 2
1 2 2
2 2 1
1 2 0
1 1 0
2 0 1
1 0 0
1 0 2
0 2 2
10 2
2 0 2
2 0 0
1 0 1
0 1 0
1 0 0
0 2 2
1 2 1
0 2 1
1 2 0
2 1 0
10 2
1 2 0
1 1 2
1 2 1
1 0 0
0 2 0
0 1 2
0 0 2
1 1 1
2 0 2
2 1 1
10 9
2 0 1
1 2 0
2 0 2
0 2 1
0 2 0
1 0 0
1 0 1
0 1 1
0 0 2
1 2 1
10 5
1 2 1
3 3 3
1 1 3
1 2 3
1 1 1
1 3 2
0 1 0
1 0 3
3 3 1
0 2 0
10 5
0 1 2
2 3 2
3 1 3
1 3 2
1 3 3
2 2 2
1 0 0
2 0 3
3 1 2
3 1 0
10 3
1 1 1
1 2 0
0 1 2
2 0 0
2 2 0
0 0 0
0 2 0
0 0 1
2 0 2
0 1 0
10 5
1 2 1
2 3 3
0 1 0
1 0 0
1 3 1
2 2 2
0 0 0
0 1 2
0 2 2
2 3 0
10 5
1 1 3
1 2 3
1 1 1
2 0 3
2 1 1
1 1 2
2 2 3
0 3 2
1 3 2
1 0 0
10 9
0 2 1
2 2 0
2 1 0
0 0 0
1 1 1
2 2 1
0 1 1
0 2 2
1 0 2
1 2 2
10 3
2 3 2
0 2 3
3 1 2
3 0 0
1 2 0
1 1 2
1 3 3
2 1 1
2 0 2
2 2 2
10 6
2 0 0
2 1 1
1 0 2
2 0 2
1 1 0
2 0 1
2 1 0
0 2 0
0 0 0
2 2 2
10 6
0 0 2
1 3 0
2 2 2
1 0 2
3 3 0
0 2 3
0 0 3
3 3 3
2 3 2
0 3 1
10 4
3 3 1
1 3 0
0 1 2
1 3 1
2 3 2
0 3 3
2 2 3
2 0 0
1 2 2
0 1 3
10 4
2 1 2
2 0 2
1 0 1
2 0 1
0 0 2
2 1 0
0 1 1
0 0 0
1 2 0
2 2 1
10 2
0 1 0
2 2 0
0 2 1
1 2 0
1 2 1
2 1 1
1 0 1
1 1 2
2 2 1
2 0 0
10 3
0 1 0
2 2 0
1 1 1
0 2 0
1 1 2
0 0 0
2 2 2
2 1 0
1 0 0
0 1 1
10 9
1 0 1
2 2 3
3 0 3
1 3 1
1 2 3
2 0 1
1 3 0
3 2 0
3 0 1
0 2 1
10 5
0 1 0
2 1 0
0 2 2
0 1 2
0 0 2
0 2 0
1 2 2
2 1 1
2 2 0
1 2 0
10 8
0 0 0
1 1 1
1 2 1
2 1 1
1 0 0
0 2 1
0 1 0
1 1 0
0 1 1
2 0 0
10 7
2 3 2
3 2 1
3 1 3
3 0 3
2 1 2
3 1 1
0 1 1
3 2 3
0 0 0
1 3 0
10 2
3 1 1
3 3 2
0 1 1
1 0 1
2 0 3
2 1 1
3 1 2
1 0 3
1 1 3
3 3 0
10 3
3 2 1
3 1 1
3 0 0
3 3 3
1 1 2
2 1 0
2 2 3
3 0 1
0 1 2
2 2 1
10 8
1 0 2
0 0 0
2 1 0
0 0 1
1 2 0
0 0 2
0 1 1
0 2 1
2 2 2
1 1 1
10 4
1 2 1
2 2 2
3 2 1
0 2 0
3 0 1
1 3 1
3 2 3
2 1 0
3 2 2
1 2 3
10 7
0 2 0
0 0 2
0 1 2
2 0 1
2 0 0
2 1 0
0 0 1
0 2 1
1 2 2
1 0 1
10 6
3 3 2
2 3 0
3 2 2
0 1 0
0 3 0
0 1 3
1 3 2
2 0 1
0 1 1
2 3 3
10 9
1 1 1
3 1 3
2 0 3
2 3 2
0 0 3
2 1 2
2 0 1
0 3 0
2 1 0
3 0 2
10 6
0 2 1
1 1 0
1 1 2
3 1 3
0 3 0
3 1 1
2 1 0
3 3 1
3 0 2
0 1 1
10 7
1 1 0
1 2 1
0 1 1
0 1 2
2 2 2
1 1 2
2 1 1
1 2 2
1 0 1
0 0 2
10 8
0 3 3
1 0 2
3 1 2
0 0 0
0 3 0
0 3 1
3 1 1
1 1 3
1 2 1
1 2 2
10 6
2 1 0
1 1 2
2 2 1
2 0 2
0 1 0
1 2 1
1 0 0
0 1 1
2 2 2
0 0 2
10 7
1 0 2
0 0 1
1 1 2
1 2 0
0 2 1
0 1 1
1 1 0
0 1 2
0 2 0
2 1 2
10 3
2 2 1
1 0 0
0 0 0
2 1 1
0 1 1
1 0 2
2 2 0
1 2 0
0 0 2
0 2 2
10 6
0 2 0
1 1 0
2 1 2
1 0 2
2 2 2
0 1 2
1 2 2
0 1 1
0 0 2
1 1 1
10 2
2 0 3
2 0 1
2 2 3
2 1 2
1 2 1
2 1 0
3 3 2
0 2 1
0 1 1
3 2 0
10 8
1 0 0
2 0 0
2 0 1
1 0 2
2 0 2
2 2 1
0 1 1
1 0 1
2 2 0
0 0 0
10 6
0 1 2
2 1 1
1 2 1
0 2 1
0 0 1
1 0 0
2 2 0
2 2 2
1 0 2
0 0 0
10 5
2 0 1
1 0 1
2 2 2
2 2 0
0 1 2
2 1 2
0 2 2
2 2 1
2 1 1
0 2 1
10 3
0 2 2
3 2 3
2 3 3
1 1 3
2 2 1
0 1 2
0 3 2
1 2 0
3 2 0
1 0 0
10 3
1 2 1
0 0 1
0 1 2
1 2 0
0 1 1
2 2 0
0 1 0
2 1 2
1 1 1
0 2 2
10 3
2 1 1
0 0 0
0 1 2
0 0 2
2 1 2
2 0 1
0 2 2
1 2 2
1 0 2
0 2 1
10 6
3 2 0
1 2 2
2 3 1
3 3 2
1 0 1
1 3 3
3 0 3
0 3 3
3 3 3
3 0 0
10 2
1 0 0
1 3 0
2 3 1
3 3 3
2 2 1
1 0 1
3 1 1
1 2 0
1 1 1
2 0 2
10 2
0 2 2
2 2 2
1 1 2
2 0 0
2 1 0
0 2 0
2 0 1
0 0 2
1 2 2
2 0 2
10 7
0 0 2
0 1 2
2 1 2
0 0 0
2 1 1
0 2 0
2 2 0
0 1 0
1 1 2
2 2 2
10 4
2 0 0
0 1 2
1 2 0
0 2 0
0 1 0
0 1 1
1 2 1
1 0 2
1 1 0
2 1 0
10 5
2 2 2
2 0 1
1 0 1
1 0 2
1 0 0
0 0 3
0 2 0
3 2 2
3 2 1
0 3 2
10 9
0 2 2
1 2 2
1 1 2
1 1 0
0 0 1
0 2 0
2 2 2
2 0 1
2 2 0
2 0 0
10 7
0 0 1
1 2 3
3 2 2
2 3 2
3 0 1
3 1 2
3 3 2
0 0 2
1 1 0
2 2 2
10 5
1 1 1
2 1 1
0 3 2
2 0 3
1 0 2
3 3 1
0 1 0
3 3 2
0 3 0
1 1 3
10 6
2 2 2
3 1 2
2 3 3
1 0 0
3 0 0
1 1 1
3 1 1
2 1 1
1 1 2
1 0 1
10 9
0 1 0
1 2 2
1 1 0
2 0 0
1 1 1
2 0 2
0 2 1
2 2 0
0 1 1
0 0 0
10 8
2 3 2
0 1 2
1 2 3
2 0 1
0 3 3
0 1 3
2 0 2
2 0 3
3 2 2
0 3 1
10 2
0 1 1
2 0 0
2 1 1
0 2 0
1 1 2
1 0 1
2 2 1
2 1 2
2 2 2
0 2 2
10 7
1 1 1
0 1 0
0 1 2
2 1 0
2 1 2
2 0 0
0 1 1
1 2 1
0 2 2
1 0 0
10 8
1 2 0
2 2 2
0 2 1
1 0 2
1 0 1
0 0 2
1 2 1
2 0 2
0 0 1
2 1 0
10 7
1 1 3
3 2 1
2 1 2
2 3 0
0 1 3
2 2 3
2 0 0
0 0 1
1 0 3
3 1 3
10 3
0 2 1
0 0 2
3 1 2
1 1 3
3 0 0
2 2 3
2 1 0
2 1 1
3 1 3
1 1 0
10 4
0 0 2
0 2 1
2 0 1
0 0 1
2 0 0
1 0 0
2 0 2
2 1 2
1 2 2
1 1 2
10 6
3 3 2
1 3 0
0 0 3
2 3 3
2 0 1
3 1 0
0 0 2
3 2 3
1 2 0
0 1 1
10 3
2 0 3
0 1 2
3 2 3
3 1 0
1 0 1
3 3 3
0 0 0
3 1 2
2 0 1
3 1 1
10 8
0 0 1
3 2 0
0 1 1
3 0 3
0 3 2
3 0 1
0 0 3
2 3 3
3 1 0
1 0 2
10 2
1 0 1
1 2 3
2 0 3
2 3 1
0 2 2
0 2 3
2 3 3
3 3 0
3 1 0
1 1 1
10 9
0 2 2
1 2 1
1 1 2
2 1 0
1 0 1
1 0 0
2 2 2
2 2 1
2 2 0
1 2 0
10 6
1 1 2
3 2 0
0 3 1
1 1 1
3 2 3
2 1 1
2 2 2
0 0 1
1 3 0
0 0 2
10 7
0 3 2
3 2 1
3 3 2
1 0 0
1 3 0
2 2 1
3 3 0
1 3 2
2 3 2
2 2 3
10 4
2 0 0
1 2 1
1 0 2
0 2 0
2 1 2
0 0 0
0 1 0
1 2 0
1 1 1
0 2 1
10 7
3 1 2
1 0 3
3 0 3
0 2 3
0 1 2
2 2 0
2 2 1
3 3 0
2 3 3
2 0 0
10 9
3 3 3
0 1 1
1 3 0
2 1 3
2 3 3
0 2 2
2 3 0
1 0 3
2 2 0
1 2 0
10 4
3 2 1
3 2 0
0 2 0
0 1 3
1 0 1
0 0 0
1 0 2
2 2 2
3 1 3
3 2 2
10 9
3 3 1
1 3 3
3 2 3
0 2 2
1 1 1
2 0 3
2 2 3
2 2 0
0 3 2
2 1 1
10 3
2 1 0
1 2 2
2 2 1
0 1 2
2 0 0
0 0 1
2 1 2
1 0 0
1 1 1
2 2 0
10 2
0 1 2
2 2 3
2 0 3
3 1 1
3 0 3
0 1 3
2 0 2
3 1 2
2 3 2
3 3 3
10 2
0 0 2
1 2 1
2 0 0
2 0 2
2 1 2
2 0 1
0 0 0
1 1 1
0 1 2
1 2 2
10 5
2 0 2
2 1 0
2 1 2
1 0 0
1 0 2
2 0 1
0 1 1
1 1 2
1 0 1
2 1 1
10 3
2 1 0
1 0 2
2 2 3
2 3 1
0 0 0
3 2 1
0 0 2
2 3 3
1 3 0
1 1 1
10 5
0 0 3
2 2 1
2 2 0
2 1 3
2 3 0
2 2 2
3 1 1
2 2 3
2 1 1
1 1 2
10 8
3 3 0
3 1 0
1 3 2
0 2 1
3 0 1
0 0 1
3 1 1
1 1 3
3 2 3
3 1 3
10 8
0 2 2
1 1 0
2 2 2
0 0 1
0 0 0
1 0 2
1 0 0
0 2 1
1 2 1
0 1 1
10 7
0 2 1
2 0 0
1 1 0
0 2 3
1 1 3
2 0 3
0 1 3
3 0 3
3 0 2
2 0 2
10 5
3 1 2
2 2 0
0 2 2
1 1 2
2 3 2
3 0 3
1 2 1
1 3 2
2 1 1
0 3 2
10 2
2 0 0
1 1 0
0 0 2
1 2 1
2 1 2
2 2 2
0 0 0
1 0 2
0 1 0
1 0 1
10 5
1 2 3
3 3 1
1 2 1
2 1 3
1 1 3
0 0 0
1 3 0
2 3 0
0 0 1
1 3 3
10 2
1 1 1
0 0 0
0 1 0
1 1 0
1 0 0
0 0 1
2 2 1
0 2 0
2 1 0
1 0 2
10 9
1 2 2
0 2 0
2 0 0
0 1 0
1 0 1
2 2 1
2 1 2
0 1 1
1 1 0
2 2 2
10 3
3 3 1
1 3 1
3 0 3
0 2 1
1 0 3
2 1 2
3 2 1
0 0 3
2 2 3
0 3 1
10 9
2 2 1
2 2 2
0 1 0
2 0 1
2 2 0
2 1 1
1 2 0
0 0 1
0 0 2
2 1 2
10 6
2 0 3
1 1 0
0 3 3
2 2 3
1 0 3
2 0 2
2 3 3
0 0 0
3 2 1
1 0 1
10 9
1 1 3
0 2 2
3 2 2
0 3 2
1 2 0
0 1 2
1 3 3
2 1 3
0 1 3
1 2 1
10 6
2 1 2
2 0 1
0 2 2
1 1 2
1 0 1
0 2 1
1 1 0
2 2 1
0 2 0
0 1 2
10 9
2 1 0
1 0 2
2 0 2
0 2 2
1 1 2
1 0 1
0 0 2
1 2 2
0 2 0
2 2 1
10 3
1 1 2
1 0 0
1 1 1
2 1 1
0 2 0
1 0 1
2 1 2
1 1 0
2 0 0
2 0 1
10 2
2 1 0
2 1 1
1 1 2
0 2 1
2 2 1
1 1 0
2 2 0
2 1 2
1 2 1
0 1 1
10 3
1 1 0
2 0 1
2 2 1
2 0 2
1 0 1
0 2 0
0 2 2
1 2 0
2 0 0
1 1 1
10 5
3 2 2
1 2 0
2 2 3
1 2 1
3 0 3
2 3 3
1 0 0
0 0 3
3 3 0
1 0 2
10 9
0 3 1
3 3 0
1 2 3
0 0 2
1 3 1
3 1 3
0 3 3
0 1 2
1 1 3
1 3 0
10 7
1 2 2
1 1 0
1 1 2
1 0 2
2 2 1
0 2 1
2 0 1
2 2 0
0 0 0
0 2 0
10 9
1 1 1
1 2 2
2 0 2
2 1 2
2 1 1
0 0 1
2 2 1
0 0 2
0 2 2
1 2 1
10 8
0 0 2
2 1 2
1 2 0
0 1 1
1 1 0
2 1 1
2 2 1
0 2 0
0 1 2
2 2 2
10 3
3 3 2
3 2 1
3 0 3
1 0 1
0 0 0
3 3 3
3 3 1
0 3 0
1 2 3
1 1 3
10 5
3 2 3
0 1 3
2 2 3
3 0 2
3 1 0
1 0 0
1 1 1
0 0 3
2 1 3
0 2 3
10 2
2 0 1
2 3 0
0 2 0
1 3 1
0 2 1
2 2 1
2 1 2
1 0 2
0 1 1
3 1 1
10 7
3 1 2
2 3 3
1 3 1
1 0 1
2 3 1
2 2 1
1 2 2
2 0 0
1 2 0
0 3 1
10 8
1 1 1
0 2 2
1 2 2
0 1 2
1 1 0
0 0 1
0 0 0
1 0 0
2 1 0
2 1 1
10 9
0 2 1
0 1 2
2 1 0
2 2 2
1 1 2
1 0 0
1 0 2
0 2 0
1 0 1
2 2 0
10 8
3 1 2
0 2 1
0 0 1
2 3 3
2 1 3
2 0 1
1 2 1
0 0 3
2 0 0
1 0 3
10 4
2 1 1
2 0 0
0 2 1
2 2 1
2 1 0
0 1 0
2 2 0
1 2 0
1 0 0
1 2 2
10 5
1 0 1
0 2 1
1 1 2
0 0 1
0 2 0
2 1 2
2 1 1
0 1 1
0 0 0
2 1 0
10 3
0 0 0
1 2 0
0 2 2
2 0 2
0 1 0
0 2 0
1 0 0
1 2 2
2 1 0
0 2 1
10 5
0 2 1
1 3 3
2 2 2
3 0 2
3 0 0
1 3 2
0 3 2
3 3 3
1 0 2
2 3 1
10 2
2 1 0
0 1 0
2 3 1
0 3 0
1 0 1
2 3 2
3 0 2
0 3 3
3 1 2
3 2 2
10 4
0 2 1
3 1 1
1 1 0
2 1 3
1 3 3
2 2 3
0 2 3
1 3 0
3 2 2
0 0 0
10 5
1 1 2
0 0 0
1 2 1
0 1 1
0 0 1
0 2 1
0 1 2
2 2 0
2 2 1
0 1 0
10 5
1 0 2
1 1 1
3 1 1
1 2 0
0 3 2
0 1 2
0 3 0
0 0 0
2 2 3
0 1 0
10 4
3 1 0
3 0 0
2 3 3
1 1 0
0 3 1
1 3 3
0 0 1
2 2 0
1 1 3
1 2 1
10 2
0 2 2
1 2 2
1 2 1
0 1 2
2 1 1
0 0 2
2 0 1
0 2 0
0 1 1
1 0 2
10 8
2 2 2
2 1 0
0 2 3
1 0 2
3 0 3
2 1 2
1 3 1
1 3 2
3 1 1
1 1 3
10 6
0 1 0
1 3 1
2 2 1
0 0 0
0 2 1
1 3 2
2 2 2
3 0 2
1 1 2
2 3 2
10 3
1 0 0
2 2 1
1 0 1
1 1 1
0 0 0
2 0 0
2 2 0
2 0 1
0 2 0
1 1 2
10 7
0 1 1
1 1 2
0 1 0
2 0 1
2 2 2
1 0 0
1 0 2
0 0 2
1 2 1
0 2 1
10 8
1 2 1
0 2 2
1 1 0
1 3 1
1 2 3
0 0 0
1 0 0
3 1 3
3 0 3
3 3 1
10 6
1 0 2
2 1 2
0 1 0
0 2 1
2 2 2
0 2 2
2 2 1
0 0 2
0 2 0
1 0 1
10 9
2 1 0
1 2 1
1 2 2
2 0 0
0 1 0
2 2 2
2 1 1
1 2 0
1 1 0
0 2 1
10 9
3 3 3
2 2 0
0 2 2
0 3 3
0 0 2
2 2 2
0 3 1
0 2 1
3 1 3
1 0 1
10 7
2 0 2
2 1 2
0 2 2
0 1 0
0 1 3
1 0 0
0 2 0
3 0 0
0 2 1
3 2 1
10 9
2 0 0
2 1 2
2 2 2
0 1 1
1 0 1
0 1 0
0 0 2
2 1 1
2 0 2
0 1 2
10 5
1 2 1
1 0 2
1 1 0
2 2 2
0 1 0
0 0 0
1 2 0
1 1 1
1 0 0
0 0 1
10 9
2 0 2
0 0 0
2 1 1
1 2 0
2 2 0
1 2 2
2 2 2
2 0 1
2 0 0
1 0 0
10 2
0 0 0
2 2 2
1 2 1
2 1 1
2 1 2
0 0 2
1 2 2
2 0 0
1 1 0
2 0 1
10 4
2 1 2
2 1 0
1 0 2
0 1 3
2 3 1
3 3 2
3 1 2
1 0 3
0 2 1
0 1 1
10 4
1 0 2
1 1 0
0 0 0
0 1 2
0 2 0
2 0 1
0 2 1
0 0 2
1 1 1
1 0 0
10 3
2 2 0
0 1 2
1 1 0
1 0 1
2 1 0
1 0 0
0 0 2
1 0 2
0 2 1
1 2 0
10 9
2 2 0
0 0 0
2 1 2
0 2 2
2 0 1
0 1 2
1 0 2
2 1 0
2 0 2
0 2 1
10 6
1 2 0
3 1 0
1 2 2
3 3 3
1 2 3
0 1 2
0 3 1
0 2 1
2 1 2
3 0 1
10 4
0 1 1
0 0 2
0 0 1
1 0 0
2 0 0
1 1 0
0 1 0
0 0 0
1 1 1
0 1 2
10 6
1 2 0
0 1 0
1 2 1
2 1 2
0 2 0
1 1 0
0 1 2
1 2 2
1 0 0
2 1 0
10 2
3 2 2
1 0 3
3 1 0
0 0 2
2 0 2
0 2 1
0 1 2
1 2 1
1 0 1
1 2 2
10 8
0 0 0
2 0 2
0 1 2
1 2 3
2 2 1
3 2 2
1 0 2
1 0 0
1 2 0
3 0 3
10 5
1 0 2
1 2 2
0 0 0
2 1 2
1 2 1
0 2 0
1 1 2
0 1 2
0 2 1
0 1 0
10 2
3 0 0
2 0 3
1 1 1
3 0 1
1 1 3
3 1 0
1 2 0
3 3 2
3 1 1
1 2 3
10 6
2 0 0
0 1 0
1 1 1
1 2 1
2 1 2
1 2 2
0 0 1
2 2 2
1 0 1
2 2 0
10 9
2 0 0
1 2 1
3 1 2
3 2 3
0 3 3
1 0 0
3 0 1
2 0 2
1 2 0
0 1 1
10 7
0 3 2
3 3 1
2 2 1
3 1 2
1 3 1
2 2 2
1 0 0
3 2 1
3 0 1
3 3 0
10 8
1 3 2
2 3 1
3 3 3
0 2 2
2 2 0
3 0 2
2 0 3
3 1 0
0 1 2
3 1 1
10 9
0 2 1
2 0 2
0 0 1
1 1 2
0 2 0
1 1 1
2 2 0
2 0 0
2 2 1
0 2 2
10 5
2 2 2
2 1 1
2 2 3
1 1 2
1 3 2
0 2 2
0 0 3
1 1 1
3 3 0
3 3 3
10 8
2 2 0
2 2 1
1 0 1
2 2 2
0 1 0
0 0 1
2 1 0
1 2 0
0 1 1
0 0 0
10 5
1 0 1
2 2 1
2 0 2
1 1 1
1 0 0
1 1 0
2 1 2
0 0 2
0 0 1
0 1 0
10 8
0 1 1
2 0 0
2 1 2
0 1 0
0 2 1
1 1 0
1 2 1
0 0 1
1 0 0
2 1 1
10 5
3 1 1
0 3 2
3 3 3
0 2 2
2 1 1
0 3 3
0 2 1
2 2 0
0 0 3
1 2 2
10 6
2 1 0
0 1 1
2 1 2
0 0 2
1 1 0
2 0 0
0 1 2
2 2 1
1 1 1
0 1 0
10 5
2 0 1
1 1 0
0 2 2
0 2 0
1 1 2
0 0 2
2 2 2
2 1 1
1 0 1
2 0 2
10 9
3 3 1
3 3 2
0 3 2
2 2 3
2 3 2
0 0 2
2 2 0
2 3 1
3 1 1
3 0 1
10 4
0 3 2
3 0 3
3 1 1
2 3 3
1 1 1
2 0 2
2 3 1
0 1 2
0 3 3
1 1 0
10 2
1 1 1
3 3 2
0 1 0
2 1 1
1 3 1
3 0 3
2 1 0
0 3 3
1 1 3
0 0 1
10 9
2 1 0
2 2 1
0 2 2
0 1 1
0 1 2
1 2 1
0 2 1
1 2 2
2 2 0
1 1 0
10 8
0 3 2
2 1 1
1 2 3
0 0 0
1 0 3
2 3 2
0 3 0
2 2 0
3 3 3
1 2 1
10 7
1 2 2
2 1 2
2 2 1
1 2 1
0 1 1
1 2 0
1 0 0
1 1 2
2 2 0
0 2 1
10 5
0 2 0
3 2 0
3 3 3
2 3 3
2 0 0
3 2 1
3 0 1
3 1 3
2 3 1
2 3 2
10 2
0 1 0
0 0 1
2 0 1
1 0 0
2 1 0
1 1 2
2 0 2
1 2 1
2 1 2
0 2 0
10 3
3 2 0
0 2 2
2 3 1
2 0 1
0 0 3
3 3 0
2 3 0
1 1 3
2 2 0
1 1 0
10 7
2 2 2
2 1 2
1 2 2
1 1 2
2 1 0
1 0 1
1 0 2
2 2 1
0 2 1
1 2 1
10 3
2 1 1
0 0 1
0 1 1
0 0 0
0 1 2
2 1 0
0 2 1
2 2 2
1 0 0
2 0 0
10 5
1 2 2
0 2 0
2 1 2
2 1 1
0 0 1
1 0 0
2 1 0
0 1 2
2 2 2
2 0 0
10 4
2 2 1
2 1 0
1 3 2
2 3 0
3 3 2
0 2 2
2 3 2
2 2 0
3 0 2
2 1 1
10 5
0 1 0
0 2 0
2 0 0
2 2 0
0 0 1
2 1 2
1 0 0
1 1 2
1 0 1
1 1 0
10 4
0 1 0
3 2 1
0 3 2
0 2 2
3 3 3
0 3 1
0 0 3
3 1 1
2 1 2
3 2 0
10 9
2 0 3
3 2 1
1 3 0
1 0 2
0 2 3
2 3 0
0 0 3
2 0 2
3 2 2
0 1 3
10 8
3 3 2
2 2 1
0 3 3
3 2 3
0 3 2
3 3 3
2 1 0
0 1 3
1 3 1
0 2 2
10 7
1 1 1
1 1 0
3 1 1
0 2 0
3 1 3
2 0 2
1 2 1
1 2 2
2 2 1
3 3 0
10 8
2 0 3
1 2 3
2 2 2
3 3 1
1 3 0
3 1 2
1 1 3
1 1 0
0 3 3
3 3 2
10 8
2 2 0
2 2 2
0 1 2
0 2 2
0 0 0
1 2 2
1 0 0
1 1 0
1 2 0
0 0 2
10 9
3 3 2
3 1 0
2 3 2
0 1 0
1 3 0
0 0 1
2 1 2
2 2 0
0 3 1
0 1 1
10 7
3 2 3
2 2 1
0 3 1
0 2 1
3 0 1
1 1 2
1 0 1
3 1 2
3 3 2
3 3 0
10 6
2 2 1
1 0 2
3 2 3
2 0 2
2 3 0
1 3 2
0 1 3
3 2 1
0 0 3
0 1 2
10 2
1 2 1
0 0 0
0 1 0
1 2 2
0 1 2
2 2 1
2 0 1
2 2 2
2 2 0
1 1 2
10 4
1 1 1
1 2 2
0 2 0
0 1 0
1 0 1
2 0 0
2 1 1
0 2 1
1 2 0
1 1 2
10 7
3 1 3
1 2 0
2 1 1
3 2 3
3 1 1
1 1 2
1 2 2
1 3 3
2 3 1
1 2 1
10 9
3 1 3
2 0 2
1 3 0
0 1 1
2 1 3
1 1 3
2 2 1
3 1 2
0 2 0
0 1 0
10 3
3 0 1
0 1 2
1 2 3
0 3 3
2 3 2
2 0 2
3 2 1
0 0 3
0 0 1
3 2 2
10 2
1 2 1
0 1 2
0 2 1
0 0 2
2 2 2
2 1 2
0 1 0
2 0 2
0 1 1
2 0 1
10 8
3 2 1
0 1 3
0 1 1
0 1 2
1 2 2
3 3 0
2 0 2
1 1 0
0 2 0
3 2 3
10 7
1 1 0
2 2 2
0 2 1
2 0 0
0 1 0
2 2 1
2 1 1
1 2 2
0 2 0
1 0 0
10 3
2 2 1
0 3 2
3 1 3
0 1 3
3 2 2
3 3 0
2 3 1
1 1 0
1 2 2
1 1 1
10 2
2 0 1
0 0 1
0 1 0
1 0 2
1 1 2
0 1 2
1 1 0
0 0 0
0 0 2
0 2 0
10 8
2 2 1
1 2 1
2 1 2
0 1 0
1 0 1
1 1 2
0 2 0
1 1 1
1 0 0
1 1 0
10 4
3 0 0
1 1 2
2 0 2
0 2 2
1 1 1
3 1 2
2 2 1
0 2 0
1 0 1
3 2 0
10 4
0 2 2
1 1 0
1 1 2
2 2 0
1 1 1
2 1 1
0 0 2
0 0 1
2 1 2
0 1 1
10 6
3 3 1
2 1 0
0 2 1
0 1 2
0 1 3
0 0 3
3 2 1
1 2 1
2 3 0
3 1 2
10 9
2 1 0
0 2 2
2 2 2
0 2 1
2 2 1
2 2 0
1 0 1
2 0 0
2 0 2
0 2 0
10 5
2 0 3
3 0 1
2 0 0
0 1 3
3 1 1
3 3 3
0 2 0
2 2 2
3 3 0
1 0 2
10 6
3 2 3
3 0 2
1 1 2
3 0 1
3 2 0
2 1 1
1 0 1
2 0 0
3 1 3
3 1 2
10 7
2 1 1
1 2 1
0 0 2
2 2 1
0 1 1
2 0 2
1 1 1
1 2 2
2 1 2
0 2 1
10 2
0 1 2
2 2 1
1 2 2
2 2 0
1 3 0
0 2 0
3 2 2
1 1 1
3 1 1
0 0 3
10 3
0 1 2
0 1 0
1 2 2
1 1 1
0 0 1
2 1 2
2 2 2
2 1 0
1 0 0
0 1 1
10 9
1 2 0
2 2 2
0 2 2
1 0 0
0 2 1
2 0 0
2 2 0
0 1 2
0 1 0
2 0 2
10 9
1 1 2
0 2 0
1 2 2
1 2 1
0 1 2
2 1 0
1 0 1
1 0 2
2 2 2
2 2 1
10 3
3 1 2
3 3 2
0 0 2
3 1 0
2 3 3
0 0 0
1 0 1
3 2 3
1 1 1
2 3 0
10 8
2 0 2
0 1 0
0 0 0
0 0 1
0 1 2
2 1 2
2 1 0
2 1 1
1 1 0
1 2 0
10 9
2 3 2
1 2 1
1 3 3
2 1 0
3 0 0
2 0 2
3 1 3
2 1 3
3 3 0
3 2 0
10 7
1 3 0
1 2 3
1 0 1
2 1 1
0 0 1
0 3 3
2 2 0
2 2 2
0 1 2
3 2 1
10 6
1 1 0
2 2 1
0 0 1
2 1 1
1 0 0
0 2 1
0 1 1
2 0 1
2 1 2
1 0 1
10 8
2 0 3
1 0 1
1 0 2
2 1 0
1 2 1
1 1 3
3 2 2
2 1 2
1 3 1
3 3 2
10 7
2 3 0
2 2 2
1 1 0
0 0 1
2 0 3
2 2 1
3 3 2
2 3 1
3 2 2
2 0 2
10 4
0 1 0
2 0 0
2 0 2
0 1 1
0 0 1
1 0 2
0 0 2
2 1 1
2 2 2
1 1 1
10 4
0 2 2
1 2 1
2 1 2
2 3 1
3 0 3
3 3 0
0 0 2
2 1 1
0 0 3
3 0 1
10 3
1 3 3
0 0 1
2 3 0
0 1 3
1 3 0
3 0 3
3 2 2
2 0 1
0 2 0
3 0 2
10 6
2 1 3
3 0 1
2 2 0
1 3 1
0 2 1
1 1 2
1 0 2
2 2 2
3 0 3
1 3 0
10 2
2 0 2
0 0 0
2 1 0
1 2 2
1 0 0
2 1 1
1 3 2
2 3 3
3 0 1
2 2 1
10 3
0 2 0
0 0 2
0 2 2
1 2 0
0 0 0
0 1 1
2 2 2
1 1 1
2 2 1
0 1 0
10 2
2 1 0
1 0 2
2 0 1
0 1 0
2 0 0
1 0 1
1 2 1
2 1 2
1 1 2
2 2 2
10 4
1 1 2
3 2 2
2 3 0
2 1 1
1 3 3
2 0 3
2 0 0
0 2 2
1 1 0
1 1 3
10 9
3 0 0
3 1 0
1 3 2
3 1 3
3 0 1
0 3 1
1 3 1
1 2 2
0 1 3
3 3 0
10 5
0 1 2
0 3 2
1 0 3
1 3 1
3 2 0
1 2 0
1 3 0
2 2 1
0 2 1
3 2 3
10 2
1 0 1
2 1 0
1 1 2
1 2 1
0 1 0
0 2 2
2 2 1
0 2 0
2 1 1
1 0 0
10 8
1 2 1
0 2 3
1 1 3
2 1 1
2 3 2
2 0 1
1 0 1
2 2 3
0 0 1
0 2 1
10 4
1 1 3
1 3 2
2 2 1
0 1 1
3 3 0
1 3 3
3 3 3
3 1 2
3 2 3
1 1 2
10 6
0 2 0
1 2 2
2 0 1
0 1 1
0 2 1
1 2 1
1 1 2
2 0 2
2 2 1
1 1 1
10 6
2 2 1
0 2 2
0 0 1
0 1 1
1 2 1
0 1 0
1 2 2
0 0 0
2 0 1
1 0 0
10 3
2 0 1
0 0 2
3 0 0
2 0 2
3 3 0
0 0 0
0 2 1
1 1 3
1 0 0
1 3 3
10 9
2 2 0
2 1 1
0 1 1
2 0 0
0 2 1
1 2 1
1 1 2
0 2 2
0 1 0
1 1 1
10 6
0 1 1
0 1 0
1 0 1
2 2 0
1 2 0
2 0 2
2 2 2
0 2 0
0 2 1
1 1 1
10 3
1 3 0
2 0 0
0 3 2
2 1 0
0 0 0
1 0 1
2 0 3
2 3 3
2 3 0
0 0 3
10 3
3 0 0
3 0 1
1 1 3
0 1 1
3 1 3
1 0 0
3 3 0
0 2 1
0 3 1
0 1 0
10 5
1 1 0
0 2 2
1 2 0
0 1 0
2 0 0
1 2 2
2 2 0
1 1 2
1 0 0
0 0 0
10 2
1 2 0
2 0 1
0 2 1
1 3 3
1 2 1
2 2 0
1 3 1
2 1 1
1 1 1
0 3 1
10 5
1 1 2
2 1 0
0 2 2
2 2 2
1 2 2
2 0 1
2 2 0
0 1 2
0 0 1
2 1 2
10 7
1 2 1
2 0 2
2 2 0
2 1 0
0 1 2
1 1 0
0 0 1
2 1 2
0 2 1
0 2 2
10 7
1 1 2
3 2 0
2 1 2
2 0 3
0 3 2
2 0 2
0 2 0
1 2 3
1 3 3
2 1 1
10 4
2 0 1
3 3 0
0 2 1
1 2 3
2 2 0
1 0 0
2 3 2
1 2 1
0 2 2
3 2 1
10 7
0 3 1
2 3 2
0 3 2
3 1 3
3 1 0
2 0 2
1 3 2
3 1 1
0 0 0
2 3 0
10 4
2 0 1
0 2 0
2 2 2
0 1 0
1 2 2
1 2 0
1 1 0
0 0 2
2 0 2
2 1 1
10 7
3 2 2
2 3 2
2 2 2
2 2 1
2 0 2
3 3 3
2 1 1
1 1 3
3 1 1
2 1 0
10 8
2 0 2
1 1 1
2 0 1
0 1 0
0 0 0
2 1 2
1 1 0
1 0 2
2 2 2
0 2 2
10 9
1 1 1
1 1 0
1 0 2
1 0 0
2 1 0
1 2 0
2 2 0
2 2 2
0 2 0
0 2 1
10 7
0 0 1
0 3 1
1 1 2
0 3 0
3 1 2
0 1 1
2 0 3
1 1 1
3 3 2
1 0 2
10 3
2 1 0
2 1 1
2 0 1
1 1 2
1 1 1
0 1 2
1 2 1
0 0 1
2 2 2
1 0 1
10 5
1 2 2
1 0 2
0 0 0
0 2 0
0 0 1
0 2 1
1 0 0
2 0 2
0 1 0
0 1 2
10 9
2 0 2
1 0 0
0 0 0
2 2 2
0 1 2
2 1 0
1 2 2
1 1 2
2 2 1
2 0 1
10 7
0 2 1
3 0 1
2 3 0
1 0 3
1 2 3
3 2 2
3 3 0
1 1 3
2 2 0
0 0 2
10 8
1 0 3
3 1 1
2 1 2
0 2 0
3 3 1
0 1 0
3 0 2
2 3 2
1 0 2
1 1 3
10 9
2 0 1
0 0 2
0 0 1
0 1 2
2 1 1
0 2 2
0 1 0
1 2 0
2 2 2
2 2 0
10 5
1 1 1
2 2 1
2 1 2
1 0 0
0 1 1
0 2 2
1 2 1
0 0 0
1 0 1
1 2 0
10 5
0 1 0
0 0 3
1 3 2
3 3 3
3 2 1
3 0 2
1 2 1
3 0 0
3 1 2
1 1 0
10 7
2 2 0
1 2 3
1 2 1
2 2 2
0 1 2
3 0 3
3 0 1
3 2 3
1 1 1
2 3 1
10 2
2 1 0
0 0 0
0 1 0
0 0 1
0 2 2
1 1 2
2 0 0
0 2 1
2 2 0
1 0 0
10 7
0 0 2
0 1 2
0 1 1
2 0 2
0 0 1
1 1 0
0 2 0
2 2 2
0 2 1
2 2 1
10 9
1 1 1
0 2 0
1 2 0
2 0 2
1 1 0
0 0 0
2 2 2
1 0 2
2 1 0
0 0 1
10 2
1 1 0
0 1 0
2 1 2
1 0 0
2 2 0
2 1 0
1 0 2
1 2 2
0 2 1
2 0 0
10 6
2 1 0
2 0 1
0 1 2
0 1 0
0 2 0
2 2 0
0 1 1
0 2 1
2 0 2
1 0 0
10 7
3 2 1
2 2 0
0 0 3
3 3 2
3 2 2
3 3 0
3 2 3
2 0 0
1 2 3
2 0 3
10 9
2 3 1
1 0 1
1 0 3
3 0 2
3 1 2
0 0 0
2 3 0
0 2 3
1 2 3
2 1 3
10 9
0 0 2
1 1 2
1 0 2
0 0 0
2 1 2
1 1 1
0 2 2
0 1 1
2 0 1
2 0 0
10 7
1 1 1
0 1 0
2 0 1
2 1 0
0 2 1
1 1 0
1 2 2
0 1 2
0 1 1
1 0 0
10 9
2 0 0
0 2 1
1 0 1
1 2 1
2 1 0
1 1 2
1 0 0
0 0 1
1 2 0
1 1 0
10 9
1 2 0
2 2 2
2 1 0
1 2 1
2 0 1
0 2 1
0 2 2
0 0 1
1 1 2
2 2 1
10 6
2 2 0
2 3 0
0 3 0
1 0 2
0 2 3
0 1 1
2 1 0
3 3 1
3 2 1
0 0 1
10 8
3 1 1
0 3 3
3 3 2
1 0 3
1 0 1
3 1 3
1 1 3
0 1 0
2 1 1
2 2 0
10 8
0 1 1
0 2 1
1 1 2
2 1 2
1 2 2
0 1 0
2 0 2
2 2 2
1 0 2
2 0 1
10 5
2 1 1
1 0 0
1 1 0
0 1 1
0 1 0
0 0 2
1 1 1
0 1 2
2 0 1
2 1 0
10 8
2 3 1
0 2 2
1 1 1
3 0 1
3 2 3
0 3 1
1 1 2
2 1 0
0 0 1
0 0 0
10 7
1 1 3
0 3 3
0 0 2
3 3 1
1 0 0
3 0 3
0 3 1
2 2 1
1 3 3
1 2 1
10 2
1 0 2
0 1 0
1 0 1
1 2 1
2 2 2
2 2 0
2 0 0
0 2 1
2 1 2
1 1 2
10 7
3 0 1
2 1 1
1 1 2
0 1 0
2 3 2
1 2 1
3 1 0
2 3 3
2 2 0
3 1 1
10 9
3 2 0
0 2 0
0 3 1
3 1 1
0 1 3
3 0 2
2 1 1
1 1 2
1 3 1
0 3 3
10 9
1 0 0
2 0 0
0 2 0
2 2 0
2 2 1
2 0 1
1 0 1
1 2 2
0 0 0
2 1 1
10 2
0 3 3
1 2 0
0 3 2
3 3 1
0 0 2
1 1 2
3 3 0
1 0 2
2 1 0
0 0 0
10 4
2 0 1
2 2 3
1 2 3
0 1 3
1 3 3
3 0 2
3 3 3
1 1 2
2 0 2
0 2 3
10 8
2 1 0
1 0 1
2 0 2
1 1 1
1 2 2
0 2 1
1 0 0
0 1 2
1 0 2
0 0 0
10 2
3 0 1
0 2 1
2 2 0
0 2 3
1 2 0
3 1 3
0 0 0
3 2 3
1 1 1
3 1 0
10 6
1 1 0
2 2 1
0 2 2
2 0 1
0 1 1
2 2 2
0 0 0
0 1 0
2 2 0
0 0 2
10 2
1 0 3
3 2 0
2 2 0
2 3 0
2 3 2
0 1 1
3 3 1
2 1 0
0 3 2
0 3 0
10 7
1 1 0
0 0 2
1 0 2
1 0 3
2 2 1
1 1 1
1 3 1
0 2 3
3 0 3
3 1 2
10 8
2 2 0
1 1 2
1 2 0
2 0 0
0 1 2
0 0 0
2 0 2
0 2 1
2 1 2
0 0 1
10 3
1 0 2
0 1 1
0 0 1
0 2 0
2 2 2
1 1 2
2 0 0
0 0 2
2 0 2
2 1 1
10 7
0 1 3
0 2 2
3 3 1
2 2 3
0 0 0
2 3 0
2 2 1
0 1 0
1 1 2
2 1 0
10 6
2 3 3
2 0 3
0 0 2
1 2 2
1 0 2
0 1 0
2 1 2
3 2 2
1 3 2
0 3 1
10 9
0 2 2
2 2 2
2 1 0
1 0 3
3 2 0
1 1 1
0 0 2
3 0 0
0 0 1
2 0 0
10 4
2 1 3
0 0 1
0 2 3
2 2 3
3 0 0
0 3 3
2 3 1
1 3 0
3 1 0
1 2 3
10 7
1 1 0
0 0 0
2 2 1
0 0 1
2 0 0
0 1 0
2 2 2
1 1 2
0 0 2
0 1 2
10 9
0 2 0
2 1 2
2 1 1
2 0 0
0 2 2
1 1 1
1 2 1
2 2 1
1 2 2
1 1 2
10 3
1 1 0
0 2 2
1 0 1
2 0 3
2 1 0
0 1 3
2 1 2
3 3 2
0 3 2
0 1 2
10 8
1 1 1
0 0 1
0 2 2
1 2 0
1 1 2
1 1 0
2 2 0
0 0 0
0 0 2
1 0 0
10 4
2 2 1
0 1 0
2 0 1
0 2 1
1 2 1
0 0 2
0 2 0
1 2 0
1 0 2
0 2 2
10 8
1 0 2
0 1 0
2 1 2
0 1 1
2 0 0
0 0 2
1 1 2
1 0 0
0 1 2
0 2 1
10 6
0 2 1
1 2 2
1 0 0
2 2 1
0 2 0
2 2 2
0 1 1
1 1 2
1 0 1
2 1 2
10 5
3 0 3
3 0 0
0 1 2
0 3 3
0 0 3
2 0 1
3 1 0
3 2 3
3 3 2
1 3 2
10 4
1 1 0
0 0 0
0 1 2
1 1 2
1 0 2
0 0 1
1 2 1
2 2 0
0 2 2
1 0 1
10 4
2 0 1
0 0 0
2 0 0
1 2 0
0 1 1
1 0 2
2 0 2
0 2 0
2 2 1
2 1 2
10 6
0 0 0
0 2 0
0 1 1
1 0 2
1 1 2
2 0 1
1 0 0
2 2 2
0 1 0
0 1 2
10 9
3 3 1
2 2 1
1 3 1
2 1 0
3 3 0
3 2 0
0 0 3
0 3 3
1 2 0
1 1 0
10 2
2 0 3
2 2 1
3 1 0
0 2 0
3 3 1
2 2 2
2 3 2
3 1 3
0 2 2
1 3 2
10 8
0 0 2
2 2 2
0 2 1
1 2 2
2 2 1
2 1 1
0 1 0
1 2 0
1 1 0
2 0 1
10 8
2 0 2
1 1 1
3 1 1
0 1 3
3 1 3
3 2 3
3 1 2
3 3 2
1 3 3
0 3 0
10 9
0 2 1
2 2 3
0 0 1
1 3 1
0 0 2
3 0 0
3 1 0
0 2 0
1 0 0
0 2 3
10 6
1 1 1
3 3 1
2 3 0
0 3 0
1 3 0
1 3 2
0 0 2
3 0 1
1 2 1
2 3 2
10 5
2 2 1
1 0 1
0 0 2
1 2 0
0 2 2
1 0 2
2 0 0
2 2 0
0 0 1
2 1 2
10 6
1 0 2
2 0 0
2 2 0
0 0 2
0 1 2
0 1 1
1 2 2
0 1 0
1 2 1
0 2 0
10 9
0 1 2
1 0 2
2 1 0
1 1 1
2 1 1
0 2 1
1 0 1
0 1 0
2 2 2
2 1 2
10 8
2 1 3
1 2 1
1 2 0
2 2 0
3 2 0
1 1 0
2 1 2
0 3 3
3 3 2
2 3 2
10 8
2 0 1
1 2 0
2 0 2
2 2 1
0 1 1
0 0 0
1 1 2
1 0 1
0 0 1
1 0 2
10 8
2 1 1
2 3 1
2 0 2
1 1 1
0 1 0
3 3 0
2 0 3
3 0 2
3 3 1
1 3 3
10 8
2 1 2
2 2 1
1 2 0
0 1 0
2 1 0
0 2 1
1 1 2
0 0 0
1 2 1
1 2 2
10 3
0 3 0
1 0 2
3 3 1
2 3 3
2 1 1
0 1 2
2 0 1
2 2 0
3 1 1
0 2 3
10 3
0 1 1
0 2 0
0 2 1
2 2 1
1 0 2
0 0 2
1 2 0
1 1 0
2 1 0
0 2 2
10 3
2 2 2
0 2 2
2 1 1
1 0 1
1 0 0
2 1 0
1 2 2
0 1 0
0 1 2
1 2 0
10 8
0 3 1
3 3 3
0 0 2
0 1 2
2 2 2
3 2 3
1 3 2
0 1 3
2 3 2
2 0 3
10 2
1 1 2
0 0 2
2 0 0
2 1 1
1 2 2
0 2 1
0 0 0
1 0 0
1 2 1
2 2 2
10 9
0 2 0
1 1 0
2 1 1
1 1 1
1 0 1
0 0 2
0 1 2
2 2 2
2 1 0
0 0 1
10 4
2 3 2
1 1 0
2 2 2
0 2 3
0 1 3
2 2 1
3 2 1
1 1 2
2 0 1
1 2 0
10 6
2 3 2
1 3 0
1 2 3
3 3 2
1 3 2
2 3 0
3 3 3
1 1 0
0 0 2
2 1 1
10 3
3 0 2
1 3 3
0 1 0
3 3 2
0 0 1
2 1 2
2 2 0
1 3 1
3 1 0
2 0 2
10 4
3 2 1
0 2 1
3 1 1
1 1 2
0 0 3
3 0 1
1 0 0
3 0 0
1 3 0
3 1 0
10 5
2 0 1
2 1 1
3 1 1
2 2 3
0 0 2
3 0 2
3 3 2
1 3 0
1 0 3
0 3 2
10 3
2 1 0
3 2 2
3 2 1
2 0 0
0 1 1
0 0 0
1 3 0
3 3 3
2 0 1
1 2 1
10 2
1 2 2
3 2 3
3 3 3
0 1 0
0 2 3
1 3 3
1 1 0
3 3 0
3 1 1
2 3 1
10 7
1 1 1
0 2 0
0 0 0
3 1 3
2 1 1
3 2 2
3 1 2
3 3 0
3 0 1
3 0 3
10 2
2 0 2
0 1 2
1 0 0
0 2 0
1 1 2
2 0 1
1 0 1
0 2 1
2 1 1
2 2 0
10 6
2 0 2
1 2 0
1 1 2
1 0 2
0 2 2
1 1 1
0 1 0
2 1 2
2 1 1
2 0 1
10 3
3 3 3
3 0 3
1 1 3
0 1 0
0 3 0
3 0 1
2 0 3
3 1 0
3 0 2
0 1 3
10 7
2 0 2
0 1 1
1 1 0
1 2 2
0 2 2
1 0 1
1 2 1
0 0 1
2 1 2
0 0 0
10 7
2 2 1
0 2 0
2 0 2
0 1 2
0 1 0
1 0 0
0 2 2
1 1 2
1 2 1
2 0 1
10 8
2 1 1
2 0 0
1 2 2
2 2 2
2 2 0
2 0 1
0 2 2
0 0 0
1 0 1
1 2 1
10 9
2 1 1
1 2 2
3 1 0
0 3 1
2 0 2
1 1 1
1 3 2
2 0 1
1 3 3
0 2 3
10 4
0 0 1
0 0 2
0 1 0
1 2 0
0 1 1
2 1 2
1 0 0
1 1 1
0 2 0
2 1 0
10 5
1 0 1
0 1 3
2 2 0
2 3 2
3 1 3
2 1 3
0 3 1
3 0 3
1 2 3
0 0 0
10 8
1 1 1
1 0 1
0 1 1
0 2 0
0 0 0
1 1 0
0 0 2
2 0 0
0 2 2
1 2 0
10 4
2 2 2
0 2 0
1 1 2
2 0 0
2 1 2
0 2 2
2 0 2
2 2 0
2 1 0
0 0 1
10 7
3 2 2
1 0 3
1 2 1
0 3 2
1 1 3
2 1 1
3 3 3
1 0 1
2 0 3
1 0 2
10 6
2 0 1
3 3 3
1 2 3
1 3 3
3 2 0
1 2 1
0 0 2
1 0 3
0 3 1
0 3 3
10 5
3 2 0
0 3 3
3 0 2
2 0 0
0 2 3
1 3 2
2 0 2
3 3 0
0 2 2
1 1 3
10 7
1 1 2
1 0 0
0 2 1
0 1 0
1 1 1
2 2 2
1 0 2
1 1 0
2 2 1
2 0 0
10 9
1 1 1
0 0 2
2 2 2
0 1 1
2 0 1
2 0 0
0 1 2
1 2 0
0 2 2
0 0 0
10 8
0 1 2
1 1 1
0 1 1
0 0 0
2 2 0
0 2 0
2 1 1
1 0 0
0 2 1
2 0 0
10 6
1 1 3
1 2 1
2 1 0
1 2 0
2 0 1
3 3 2
2 2 1
2 2 3
1 0 2
3 0 2
10 8
0 0 2
3 3 2
2 1 1
2 3 1
3 2 3
1 1 0
3 1 3
3 1 0
0 1 2
1 3 1
10 5
1 1 1
1 3 3
0 1 1
0 3 3
1 0 3
1 0 0
1 2 0
0 3 0
1 2 2
2 0 0
10 7
2 1 3
0 3 1
1 2 0
0 3 2
1 3 1
2 0 3
2 3 2
3 0 1
2 2 2
1 3 3
10 3
1 1 2
2 0 0
0 0 2
1 2 2
2 2 2
0 0 1
2 0 1
1 0 1
2 2 1
2 1 1
10 9
1 1 0
0 1 0
0 0 1
0 2 1
2 2 0
1 2 0
0 1 1
0 0 0
1 2 2
1 1 2
10 7
2 2 1
1 1 0
3 2 2
0 1 3
0 3 2
2 0 0
1 3 3
3 0 2
0 2 2
0 2 0
10 9
1 1 3
3 3 2
3 1 2
3 1 3
2 3 0
3 3 0
2 2 2
2 3 3
0 0 2
3 2 0
10 5
2 1 0
2 2 1
1 3 2
2 3 0
2 2 0
0 0 1
2 0 1
2 3 1
2 0 2
0 0 2
10 7
0 1 3
3 3 1
0 1 1
2 3 1
2 2 1
0 2 3
0 0 3
0 2 0
2 1 3
1 0 0
10 8
2 2 0
1 2 2
0 0 0
2 1 2
0 0 1
1 2 0
0 1 1
1 0 2
0 1 0
0 2 2
10 5
0 1 2
1 2 1
0 1 1
2 1 0
2 2 2
1 2 0
0 2 2
1 1 1
1 2 2
0 0 2
10 6
0 0 2
3 1 2
1 1 3
1 3 0
0 1 0
0 0 0
2 0 0
0 1 3
1 2 2
1 3 3
10 5
0 1 0
1 0 0
0 0 0
0 2 1
0 0 1
0 2 2
0 1 2
2 0 2
0 1 1
1 2 2
10 3
0 3 1
1 0 3
0 0 1
1 3 1
0 3 0
3 2 0
3 2 3
3 3 3
0 3 2
3 3 1
10 3
3 3 3
1 0 1
2 1 1
3 3 0
2 3 1
3 2 2
1 0 3
1 3 1
1 3 0
2 0 0
10 6
0 2 0
1 0 1
2 0 2
2 0 0
1 1 0
1 0 2
2 0 1
1 1 1
1 0 0
0 2 2
10 6
0 1 0
1 1 2
1 1 1
0 3 3
1 2 2
1 3 1
0 0 2
1 1 0
0 2 3
3 2 2
10 6
1 2 1
1 0 0
2 0 2
1 1 2
2 0 1
1 1 0
2 0 0
0 0 1
1 2 0
0 1 2
10 5
0 2 0
1 1 2
2 2 1
2 2 2
2 1 2
1 1 1
2 2 0
1 2 0
2 1 1
0 0 2
10 3
1 0 3
1 1 3
3 2 1
2 3 1
3 1 1
2 2 2
2 0 1
0 0 0
0 3 1
0 2 0
10 8
0 0 1
1 2 3
1 1 1
0 0 3
3 3 3
3 0 3
1 1 3
3 1 1
0 2 3
0 0 0
10 9
2 2 0
3 3 1
1 1 3
1 3 2
2 1 3
1 0 2
0 0 0
1 2 0
0 2 2
0 0 2
10 4
1 2 1
2 1 0
0 0 2
1 1 0
2 0 2
0 1 2
0 1 1
1 0 2
2 1 2
0 0 0
10 3
3 2 0
2 0 0
0 2 0
3 0 0
3 1 3
0 0 3
1 1 0
2 1 1
1 0 3
0 2 1
10 2
2 3 3
3 3 2
1 3 1
0 1 2
0 2 1
3 3 1
1 1 2
3 2 1
2 0 2
1 2 2
10 9
1 0 0
2 1 2
0 1 0
0 0 1
0 1 1
2 0 0
0 2 2
1 2 1
1 0 2
1 0 1
10 9
0 0 0
1 1 1
2 1 1
0 1 0
2 0 1
1 0 1
0 2 0
1 2 1
1 0 2
0 1 1
10 2
0 0 1
0 0 0
2 0 2
0 1 2
1 0 2
2 1 0
0 2 0
0 2 1
1 2 0
2 0 0
10 4
3 3 2
0 2 1
3 0 3
2 1 3
1 1 2
3 0 2
2 0 1
0 1 3
0 3 2
2 1 0
10 5
0 1 2
2 0 2
2 2 1
0 2 2
0 0 1
0 0 2
1 2 0
2 1 0
1 2 1
1 1 0
10 8
1 2 2
2 0 0
2 0 1
2 2 0
2 1 0
1 0 1
0 2 2
2 1 2
2 1 1
0 1 1
10 7
2 2 0
0 0 2
1 0 1
2 0 1
0 2 2
2 2 2
2 1 0
1 1 2
2 0 2
2 1 2
10 6
1 1 1
0 1 3
2 3 2
3 2 2
3 1 1
2 2 1
3 0 2
0 0 0
2 1 0
2 1 3
10 8
3 0 3
3 1 3
0 2 1
3 3 0
1 2 3
2 1 3
3 0 1
2 1 2
2 3 0
1 1 3
10 9
2 0 2
0 1 3
3 1 0
2 0 0
2 2 3
1 2 1
3 0 0
2 3 0
3 2 2
2 0 1
10 9
2 1 0
2 0 0
2 0 1
1 1 2
0 0 0
2 2 1
1 1 1
0 1 2
1 0 2
0 2 2
10 9
1 1 0
1 3 0
0 0 2
3 1 1
3 1 2
2 1 1
2 1 0
2 0 1
2 2 0
3 3 1
10 6
0 2 0
2 2 0
1 1 0
1 0 0
1 2 0
1 0 1
2 1 1
1 2 1
2 2 2
0 1 2
10 4
1 0 1
0 2 1
1 1 1
0 0 0
0 2 0
1 2 0
0 0 2
2 0 1
2 0 0
2 2 1
10 4
0 1 1
2 2 2
0 1 2
2 1 2
0 1 0
2 1 0
0 2 0
1 0 0
2 0 0
2 0 2
10 4
3 3 1
3 1 1
0 0 1
3 0 2
2 3 3
3 2 1
2 2 2
0 2 3
1 2 3
3 2 3
10 6
1 3 0
3 3 1
2 3 3
0 0 2
2 1 0
1 3 3
0 2 1
0 3 1
0 1 2
1 0 0
10 9
3 3 0
0 3 3
2 0 3
1 0 2
2 1 0
2 3 3
0 3 0
2 1 1
3 0 3
3 0 2
10 5
0 2 0
1 2 1
0 1 1
2 1 2
0 0 0
1 2 0
1 0 1
0 0 1
1 1 2
2 2 2
10 8
2 3 0
2 1 2
3 3 0
1 2 1
2 0 2
1 1 0
1 1 2
1 3 3
2 0 0
0 1 2
10 7
0 1 1
0 0 2
1 3 3
3 0 2
2 0 3
0 1 0
0 1 3
0 1 2
2 2 2
1 1 0
10 7
2 1 1
0 1 1
1 2 1
0 1 0
1 1 0
2 2 0
1 0 0
0 2 2
0 2 0
1 2 0
10 9
0 2 1
0 1 2
0 2 0
2 0 2
2 0 0
0 1 0
1 0 1
2 1 0
2 2 0
1 0 2
10 2
1 3 0
3 0 2
0 0 2
2 0 2
1 3 1
1 0 0
0 2 2
0 1 3
3 0 1
3 1 2
10 9
0 2 0
2 1 2
0 1 2
2 0 1
0 0 1
1 2 0
2 2 1
0 1 1
1 1 1
0 1 0
10 8
2 0 0
1 2 2
1 1 1
1 2 1
0 0 0
0 0 2
1 2 0
1 0 0
1 1 0
1 1 2
10 7
3 3 2
1 2 1
1 1 1
0 1 0
2 0 3
1 1 0
3 1 3
3 1 2
1 3 3
2 1 3
10 5
2 3 1
2 1 2
1 2 1
1 1 0
2 1 1
1 1 2
3 1 0
2 3 0
2 3 3
3 3 0
10 3
0 2 1
1 0 1
2 2 0
1 1 1
0 0 0
1 2 1
0 2 0
0 1 2
2 1 1
1 1 2
10 7
1 1 0
2 0 0
0 1 0
0 1 2
1 2 2
2 1 0
0 1 1
1 0 1
2 0 1
2 2 1
10 3
1 2 1
0 0 0
2 1 1
0 1 2
0 2 0
2 1 0
1 1 1
1 2 2
2 0 0
0 1 0
10 2
2 1 0
2 0 0
1 0 2
0 0 0
1 1 2
0 2 2
0 0 2
2 2 1
1 2 2
2 1 1
10 5
0 0 1
2 2 0
2 0 1
0 2 1
0 1 1
0 0 0
2 2 2
2 1 0
0 1 0
0 2 2
10 8
2 3 3
3 1 1
2 1 0
0 0 0
3 0 2
0 0 2
3 0 1
0 0 3
0 3 3
1 0 0
10 7
1 1 2
0 1 0
2 2 2
1 2 2
0 0 1
1 1 1
0 2 2
2 1 0
0 1 1
2 2 0
10 2
2 2 1
0 1 2
2 1 1
1 1 2
0 2 0
0 0 1
0 2 1
0 1 1
2 2 2
1 2 2
10 4
1 1 0
1 2 0
0 1 2
0 1 1
2 2 0
2 0 0
2 2 1
1 1 2
1 0 2
0 0 1
10 2
1 2 0
2 0 0
1 3 3
3 0 0
2 1 1
3 1 1
2 1 0
3 1 2
1 3 1
2 2 0
10 4
0 1 1
2 0 1
1 3 2
0 3 0
0 2 1
3 1 2
1 1 1
2 1 3
1 0 2
0 3 2
10 5
0 1 2
1 1 1
0 2 2
0 2 1
2 2 2
2 0 0
1 0 2
2 2 1
2 0 1
2 2 0
10 2
1 1 1
0 0 0
2 2 2
0 0 1
1 1 2
2 2 1
0 2 0
0 1 0
2 1 0
0 1 1
10 7
2 3 0
0 0 3
1 1 2
2 1 2
2 3 3
3 2 0
1 3 2
2 1 3
0 3 0
3 2 3
10 2
1 0 1
1 1 0
0 1 0
0 1 2
0 0 3
3 0 0
3 2 2
2 3 0
2 0 1
0 2 2
10 2
0 1 1
0 0 0
2 0 1
0 2 1
2 2 0
0 0 2
2 2 2
1 1 2
0 0 1
1 1 1
10 3
1 3 2
0 2 0
3 0 3
0 2 2
3 2 0
0 0 1
1 0 0
0 1 2
2 1 3
3 3 1
10 3
2 2 2
0 2 1
2 3 1
3 1 0
1 2 0
0 0 2
1 1 2
2 0 3
3 2 3
1 3 0
10 4
2 0 2
2 1 2
2 1 1
1 0 1
1 1 2
0 2 0
0 0 0
1 0 0
2 2 0
0 1 0
10 7
2 1 0
2 3 0
0 2 2
0 1 3
3 0 0
1 0 0
2 0 2
1 2 3
2 2 3
1 1 1
10 7
2 0 3
2 3 1
3 0 0
2 2 1
0 0 3
0 3 1
1 3 3
1 0 0
0 1 3
0 0 1
10 4
2 2 2
0 0 1
1 3 0
1 3 2
2 3 3
1 2 2
2 1 0
2 3 2
3 3 1
1 1 2
10 6
2 2 3
2 1 0
1 2 1
3 0 0
1 3 0
2 1 3
2 2 0
0 0 2
3 0 1
0 0 1
10 5
2 2 1
2 1 1
0 1 1
1 0 0
0 2 1
2 1 0
1 1 1
2 0 1
2 0 2
1 2 1
10 4
1 0 1
0 3 2
3 0 1
1 1 0
0 3 3
1 2 0
1 3 0
2 3 3
0 3 0
2 3 1
10 4
3 2 1
0 2 1
2 0 2
1 3 3
1 0 0
1 2 0
1 1 2
3 3 1
2 2 2
0 1 1
10 5
1 2 1
2 0 2
1 1 0
2 1 2
2 1 1
0 1 2
1 0 0
2 2 0
1 2 2
1 1 1
10 6
2 0 2
1 1 1
1 0 0
2 2 2
0 1 2
2 1 1
2 2 0
0 1 1
0 1 0
1 1 0
10 7
0 2 2
2 2 2
2 2 1
2 0 1
2 1 1
0 1 0
0 2 0
2 2 0
1 1 1
2 1 2
10 6
1 2 1
1 1 0
0 1 1
1 1 1
0 2 0
1 1 2
0 0 1
2 0 1
2 0 0
0 1 0
10 9
2 2 1
2 2 2
1 2 0
0 1 1
1 0 0
2 1 1
1 0 1
0 1 0
2 2 0
1 0 2
10 5
1 0 2
2 2 2
1 1 0
0 1 0
2 2 1
2 1 0
2 0 0
1 0 1
1 0 0
1 1 2
10 5
0 0 1
0 0 2
0 1 1
1 2 0
0 2 2
1 2 1
2 1 1
1 1 0
2 0 1
0 0 0
10 6
3 1 3
2 3 3
3 3 1
1 2 1
0 2 3
0 3 3
1 3 2
1 3 0
0 2 1
3 2 1
10 7
0 2 2
2 3 2
2 3 0
1 0 0
2 0 3
0 3 2
3 3 1
2 2 3
0 1 3
2 2 1
10 7
0 0 2
0 0 1
1 0 1
1 0 2
1 1 2
1 2 0
2 0 1
2 2 0
1 0 0
1 1 1
10 3
1 1 0
1 1 2
0 1 1
1 2 2
0 0 0
1 1 1
1 0 0
0 2 2
0 1 0
0 0 2
10 4
2 3 0
1 3 1
1 0 1
2 3 1
1 0 3
1 1 2
3 3 3
1 0 0
1 3 0
1 1 3
10 7
1 0 0
0 2 0
0 1 0
0 1 2
2 1 1
2 2 0
0 2 1
1 2 2
0 2 2
1 0 1
10 4
1 2 1
0 2 2
0 0 1
1 3 2
3 0 1
3 1 2
0 2 1
3 2 3
3 1 3
0 3 0
10 4
1 0 1
2 1 2
1 0 2
2 1 0
2 0 0
1 2 0
2 0 1
1 1 0
2 2 1
0 1 1
10 8
3 1 1
1 2 1
2 0 2
1 0 3
0 1 0
1 3 1
0 1 1
3 2 0
2 3 3
2 1 1
10 8
1 2 0
2 2 2
2 2 1
1 1 0
0 2 2
2 0 0
2 0 2
1 0 2
1 1 1
1 2 2
10 6
2 1 1
0 0 1
3 3 1
3 3 0
1 0 3
2 3 0
2 0 3
1 2 0
1 3 3
3 1 2
10 3
2 0 2
0 2 0
1 1 1
0 1 0
2 1 2
2 1 0
0 1 1
1 2 0
0 0 1
0 1 2
10 6
2 0 1
3 1 3
3 3 0
2 3 0
2 0 3
0 1 1
0 3 0
3 2 1
0 1 3
2 1 3
10 8
2 0 2
2 0 1
2 2 1
2 2 0
0 0 1
0 0 0
0 1 2
1 0 1
1 1 1
1 1 2
10 2
2 2 1
1 2 2
0 0 2
1 0 1
2 0 0
0 1 0
2 2 0
2 0 1
1 2 1
1 1 0
10 4
3 0 2
0 0 0
3 1 0
2 0 1
3 3 3
0 3 3
0 0 2
3 0 0
2 1 3
0 3 2
10 6
0 1 0
1 0 0
2 2 1
2 1 1
0 2 2
0 2 1
2 1 0
1 2 2
2 0 2
2 1 2
10 5
1 1 3
0 3 3
2 1 3
1 2 1
1 2 0
2 2 0
0 2 1
1 3 0
2 0 1
3 0 3
10 3
1 0 0
2 1 0
1 0 2
0 1 0
2 1 1
1 2 0
0 0 1
0 1 1
2 2 2
1 0 1
10 5
3 3 2
0 0 2
2 1 2
1 0 3
3 1 3
1 2 0
0 3 0
3 0 2
2 3 3
0 2 3
10 3
0 1 1
2 2 2
2 1 1
2 0 0
0 2 0
1 2 0
1 0 1
0 1 2
0 0 0
2 2 1
10 4
1 1 2
0 0 0
1 1 1
2 1 0
2 2 1
0 2 1
0 1 0
2 0 1
1 0 2
0 2 0
10 8
0 0 0
2 1 1
1 2 1
0 1 0
1 0 1
0 0 2
2 2 0
0 2 2
1 0 0
2 0 1
10 6
0 1 2
0 0 0
2 0 0
0 0 1
0 2 2
0 2 0
2 2 2
0 0 2
2 1 0
2 2 1
10 2
2 3 1
3 3 0
1 0 2
2 2 0
3 0 3
2 0 2
2 3 3
0 3 2
0 1 2
1 3 0
10 6
2 2 0
0 0 1
2 1 1
2 1 2
1 1 2
0 2 1
1 0 1
1 2 2
0 1 0
1 2 0
10 3
3 1 3
0 3 1
2 3 2
0 1 0
1 1 1
2 1 2
0 3 0
2 3 3
2 2 3
2 1 3
10 4
0 2 2
1 2 1
0 2 1
3 0 0
1 1 1
3 1 2
2 3 1
0 3 2
0 2 0
3 2 1
10 3
3 1 0
0 1 2
2 1 2
0 3 2
2 3 0
1 3 2
2 0 2
2 3 3
0 0 3
1 1 1
10 2
2 1 0
3 1 1
0 0 0
2 1 1
1 2 2
1 3 0
3 2 1
1 1 3
0 3 3
0 0 2
10 3
0 3 0
0 1 3
2 0 1
2 3 0
2 1 2
1 3 2
2 0 3
3 2 1
0 0 2
0 2 0
10 9
0 1 2
1 1 0
2 2 1
2 0 2
1 0 0
0 2 0
1 0 1
2 1 2
2 2 2
0 1 0
10 5
0 2 1
0 2 0
2 2 0
0 0 2
1 1 1
2 0 2
0 1 0
2 1 2
0 2 2
0 0 0
10 6
0 1 2
1 1 3
2 3 2
0 2 1
0 1 1
2 1 0
0 2 2
3 1 0
3 2 1
1 3 1
10 2
2 0 0
1 1 1
1 1 0
2 2 1
0 1 2
1 0 0
0 2 0
1 0 1
0 2 1
1 2 0
10 5
2 0 0
1 0 1
1 1 2
2 0 2
0 2 1
1 1 1
0 1 1
2 1 0
0 1 0
0 0 1
10 2
2 2 0
0 0 0
2 0 1
2 1 1
1 1 0
0 0 2
0 2 1
2 0 2
0 2 0
0 1 2
10 6
3 3 1
1 0 1
1 3 2
0 2 3
3 3 0
2 1 1
0 2 1
2 1 3
1 3 3
0 3 2
10 2
2 0 0
2 1 2
0 2 2
1 2 1
2 2 2
0 1 1
0 2 0
2 1 1
0 1 0
1 2 2
10 4
0 2 2
0 0 2
1 2 0
0 2 0
1 2 1
2 1 2
2 1 1
0 1 2
2 2 0
1 1 1
10 8
2 0 0
2 1 0
1 1 2
3 2 1
2 0 1
2 2 0
1 0 0
1 2 3
0 1 3
1 2 1
10 3
0 1 2
1 0 0
0 0 1
2 1 0
1 2 0
2 2 2
1 1 2
2 0 0
0 2 2
2 2 1
10 8
0 2 2
0 2 1
0 1 2
2 1 1
2 1 2
1 1 2
2 2 1
0 1 0
1 1 0
2 0 0
10 6
0 1 1
2 0 1
3 3 2
0 0 1
0 0 0
1 2 2
3 2 0
0 2 2
2 0 3
3 0 3
10 2
0 0 1
1 0 0
0 2 0
0 0 2
1 1 1
2 0 1
0 1 0
0 1 2
1 1 0
2 1 2
10 8
3 2 3
3 0 0
0 1 0
1 0 0
2 1 3
1 3 0
2 2 1
3 2 2
2 3 2
2 0 0
10 7
2 2 1
2 1 2
2 3 0
0 1 1
3 0 0
0 2 0
1 1 0
0 2 3
2 2 0
2 1 0
10 6
1 0 0
1 2 2
3 3 0
2 0 1
3 0 2
3 0 0
1 1 2
1 2 1
2 3 2
3 2 1
10 7
2 0 0
0 3 2
1 3 1
2 3 2
3 0 0
1 0 1
1 3 2
0 0 0
0 3 3
1 1 3
10 8
0 0 1
1 2 0
2 2 2
2 0 1
1 1 0
1 1 2
2 1 2
0 1 2
1 2 2
2 1 0
10 7
0 1 0
0 1 2
1 2 1
2 2 1
0 0 0
0 0 2
0 2 2
2 2 0
1 0 1
1 0 0
10 4
3 3 2
0 2 3
3 2 1
1 2 1
2 0 1
1 2 2
1 3 3
3 1 0
2 2 1
2 0 3
10 4
2 3 1
0 3 3
2 0 2
0 0 1
3 3 1
1 1 0
3 0 3
2 3 2
3 1 2
2 1 2
10 6
1 1 2
0 0 2
0 0 1
1 2 0
2 2 1
1 2 1
2 0 2
3 3 2
1 2 3
2 1 3
10 8
2 1 2
1 0 0
0 0 1
1 0 1
0 0 2
2 2 2
2 2 0
1 2 1
1 1 1
1 2 0
10 6
2 2 0
1 2 1
2 1 1
1 0 2
0 1 0
0 2 0
0 0 2
1 1 1
1 2 2
0 1 1
10 2
1 0 0
2 3 3
3 2 0
3 3 3
0 2 3
3 2 3
1 0 3
2 3 0
2 0 2
1 2 2
10 3
2 0 1
0 0 2
2 1 2
1 0 2
1 1 2
1 2 2
1 1 1
1 2 0
1 2 1
0 2 0
10 3
0 1 1
3 0 2
0 3 2
0 0 1
3 0 3
2 2 2
1 2 3
0 1 2
3 2 2
0 0 0
10 3
0 2 2
1 1 1
2 2 1
1 0 1
0 0 1
1 1 2
2 1 1
0 0 2
0 2 1
2 2 0
10 5
3 3 2
0 1 3
3 1 0
0 1 0
3 0 0
3 2 0
3 3 0
1 2 0
3 0 1
0 3 3
10 7
2 0 2
2 0 1
1 0 0
0 0 0
0 2 0
0 1 1
1 2 2
1 2 1
1 1 2
1 2 0
10 7
1 3 1
1 1 2
0 3 1
2 0 1
0 3 2
3 2 0
1 2 1
0 2 0
2 3 1
1 2 0
10 5
1 1 1
1 1 0
1 2 1
1 2 0
2 2 0
2 1 0
0 1 0
0 2 2
2 0 2
1 0 2
10 4
2 0 3
2 0 0
0 3 0
0 1 3
3 0 3
1 3 2
0 2 1
0 2 3
1 0 1
0 0 2
10 9
1 1 1
2 1 2
0 1 2
0 0 0
1 2 1
1 0 1
2 1 0
0 2 2
0 1 0
1 2 0
10 9
3 2 3
1 3 0
3 1 2
1 1 0
1 0 2
3 3 0
3 2 1
2 1 0
1 3 3
2 2 1
10 6
3 0 2
0 1 2
1 2 1
1 1 2
3 0 0
1 2 2
0 1 0
0 0 2
2 3 3
1 2 0
10 9
2 1 2
1 0 2
2 2 1
0 2 2
1 0 1
1 2 0
0 0 1
2 1 1
0 1 0
0 1 2
10 6
2 0 0
0 1 1
1 0 2
0 0 2
2 1 1
2 0 1
0 1 0
2 2 0
1 1 0
1 2 2
10 2
1 2 3
2 2 0
3 3 1
3 1 3
0 0 3
2 3 2
0 0 2
2 1 3
1 3 1
3 0 0
10 8
2 0 2
1 2 0
2 2 0
1 0 0
0 3 2
0 2 2
3 0 0
1 0 2
1 2 2
3 2 3
10 5
3 0 1
0 1 1
0 2 3
1 1 1
2 2 2
0 3 0
2 3 2
0 2 1
3 1 1
1 2 3
10 7
2 1 1
1 2 0
1 0 1
1 2 2
0 0 0
2 1 2
0 0 1
2 0 0
2 1 0
0 2 1
10 3
0 1 2
1 2 2
1 1 0
1 1 1
1 1 2
2 2 0
2 2 2
1 0 1
2 2 1
2 1 0
10 9
1 0 3
1 3 1
0 0 1
3 3 0
2 3 1
3 2 1
2 0 2
0 2 0
2 1 2
2 1 0
10 6
1 1 3
2 2 3
3 1 3
0 2 1
0 3 2
3 3 3
2 2 0
1 2 0
3 0 1
3 0 3
10 8
3 2 0
2 1 3
1 3 0
2 1 2
0 0 1
2 2 2
2 2 0
0 3 0
2 0 2
1 3 1
10 8
3 3 2
0 3 2
2 1 1
0 0 2
3 1 2
0 2 3
2 2 2
3 3 3
1 3 0
3 2 3
10 3
2 2 0
1 2 0
2 0 2
0 2 1
2 0 1
0 1 2
0 0 1
2 1 0
1 1 1
2 2 2
10 6
0 0 0
1 0 1
2 2 2
1 2 2
2 1 2
1 1 0
0 2 2
0 0 1
1 2 0
0 2 0
10 3
0 2 2
0 1 2
1 0 2
1 1 2
1 2 0
2 1 1
0 2 1
1 2 1
2 1 2
0 0 1
10 8
2 2 2
0 2 2
0 0 1
1 2 1
1 1 0
2 1 0
2 1 2
2 1 1
1 2 0
1 0 2
10 5
1 1 1
2 2 3
0 1 3
1 3 1
1 3 2
1 3 3
2 1 3
3 2 1
3 0 1
0 2 1
10 3
1 0 1
1 2 2
1 0 0
2 1 0
0 1 0
0 1 2
2 0 0
2 2 0
1 1 1
2 1 1
10 4
1 3 0
2 2 1
1 2 3
3 3 3
0 0 0
2 3 3
0 2 2
2 3 0
1 0 0
0 2 0
10 3
1 1 2
0 1 2
0 0 1
2 1 0
2 0 2
1 0 0
1 2 1
2 2 1
2 1 1
0 2 2
10 8
2 2 3
0 1 1
0 2 1
2 3 2
0 3 0
0 3 2
2 3 1
1 2 0
0 0 3
0 2 3
10 7
2 0 1
1 1 0
0 2 1
2 1 0
2 2 1
2 0 0
1 0 2
1 2 1
0 2 0
2 2 2
10 9
0 2 0
0 3 0
2 1 0
2 1 3
3 3 2
1 2 1
2 1 1
1 2 2
3 1 0
3 1 2
10 8
3 3 0
1 2 0
1 3 1
1 1 0
1 0 2
0 1 0
3 2 1
1 3 2
1 0 3
2 2 3
10 3
2 1 1
0 2 3
2 2 0
3 3 3
2 0 3
1 2 2
1 0 2
3 2 3
3 0 0
0 0 1
10 4
3 3 3
3 1 1
1 2 1
2 2 0
3 1 2
2 1 3
3 2 3
1 2 3
0 2 2
3 0 1
10 6
2 2 1
2 3 0
3 0 2
0 0 1
3 0 3
3 2 3
2 1 0
3 1 2
1 1 1
1 0 3
10 5
3 2 0
3 2 1
3 0 3
3 1 0
1 1 0
2 2 3
1 0 1
2 3 1
3 3 2
0 1 2
10 4
0 2 0
1 0 2
2 2 0
0 1 1
1 2 2
0 2 1
1 0 1
0 0 1
1 2 0
2 2 2
10 4
3 3 0
1 3 0
2 2 0
0 2 2
0 1 0
3 0 2
0 0 1
2 0 1
3 2 1
2 1 3
10 9
0 2 1
0 1 0
1 1 1
0 0 0
0 2 2
1 0 0
2 1 0
0 2 0
1 1 2
2 0 0
10 6
0 1 2
1 2 1
1 1 1
0 0 1
1 1 2
1 1 0
1 0 0
0 2 0
1 2 0
1 0 1
10 4
1 0 1
1 2 1
2 2 2
2 1 0
1 1 1
3 3 1
3 3 0
1 2 2
0 0 2
0 3 0
10 9
2 1 0
2 0 2
2 1 2
1 0 1
0 1 2
2 2 2
1 1 2
1 2 1
2 2 0
1 2 2
10 9
1 1 2
0 1 0
0 2 2
2 3 3
1 2 3
1 3 3
0 3 0
1 3 2
2 3 2
0 2 3
10 2
1 0 2
2 0 2
1 1 1
1 1 0
0 2 1
2 1 1
2 0 1
0 0 2
1 0 0
2 1 2
10 4
1 1 1
0 1 0
2 1 0
2 2 2
2 2 0
1 0 2
2 0 1
1 2 1
0 1 2
2 1 2
10 3
3 2 3
2 0 1
3 3 0
0 2 1
0 0 2
3 0 1
3 3 2
1 1 0
1 1 3
3 0 0
10 6
0 2 1
3 2 0
3 3 0
1 0 2
1 0 3
1 3 1
2 0 2
3 1 0
2 2 0
3 3 3
10 7
2 2 0
3 1 0
3 1 1
1 3 2
2 3 1
1 3 3
1 1 2
2 3 0
0 1 2
1 2 1
10 8
1 1 2
1 1 0
0 2 2
1 3 1
3 1 3
3 3 3
1 2 0
0 1 0
2 1 3
3 1 2
10 5
1 2 0
1 1 0
1 0 1
0 1 2
0 2 0
2 1 1
2 2 2
2 2 1
1 0 0
2 1 2
10 5
1 0 1
2 2 0
1 2 2
0 2 2
1 0 2
2 1 1
2 0 1
2 1 0
1 1 1
1 2 1
10 2
1 0 1
1 1 0
1 0 2
0 0 0
0 0 1
1 2 2
1 2 1
2 1 2
0 1 2
2 0 1
10 9
2 3 2
1 2 2
2 1 3
0 1 1
0 1 0
0 2 2
0 3 0
1 2 0
0 2 0
3 3 1
10 7
0 0 0
1 1 1
2 1 1
2 2 1
0 2 1
0 2 0
1 1 2
2 0 1
1 2 2
2 0 2
10 5
2 1 0
1 0 2
2 0 0
1 2 2
2 2 1
2 0 2
0 1 1
2 1 1
0 2 2
2 2 2
10 7
2 1 0
2 2 2
1 0 0
1 1 0
1 1 1
2 1 2
0 0 1
2 2 1
0 1 2
0 2 2
10 2
2 0 0
1 0 0
1 2 2
0 0 0
2 2 1
1 1 0
0 2 0
0 2 2
2 2 2
0 1 1
10 6
0 0 1
1 1 1
1 0 2
0 1 0
2 2 2
0 0 2
2 1 2
1 0 0
2 0 1
0 0 0
10 4
1 2 2
2 3 3
3 2 1
2 2 1
2 3 2
1 0 2
0 0 3
3 3 1
2 1 1
0 0 2
10 7
0 1 2
1 0 0
3 3 2
0 3 0
2 3 1
0 0 3
0 2 3
1 1 3
3 2 0
0 0 0
10 8
2 0 0
1 0 0
1 0 1
2 0 1
2 1 2
1 2 0
1 1 2
0 1 2
0 0 0
0 2 0
10 5
1 0 2
1 0 0
2 2 1
2 0 1
1 1 0
0 2 0
2 0 0
1 2 2
1 1 1
2 1 2
10 2
1 2 1
0 0 0
1 1 0
1 2 2
2 2 1
0 0 1
2 2 2
2 2 0
1 0 1
2 0 2
10 5
0 1 2
1 2 0
2 2 1
1 2 1
1 0 0
1 1 2
1 1 1
2 1 1
0 0 2
0 2 2
10 8
0 1 3
2 0 1
1 1 1
2 3 0
3 1 3
1 1 3
3 0 2
0 2 3
1 2 1
1 3 0
10 2
3 0 0
3 3 0
2 3 0
2 0 3
0 2 0
0 1 0
0 2 3
2 1 0
2 2 1
0 3 3
10 3
2 0 0
0 3 1
2 1 0
3 0 3
2 1 1
2 2 1
0 1 0
2 0 2
0 3 3
0 3 2
10 7
2 2 1
1 0 2
1 1 1
0 2 1
1 0 1
1 1 2
2 1 0
2 1 1
2 2 2
0 2 2
10 6
1 1 1
2 2 1
2 1 1
0 2 0
1 2 1
2 2 0
0 0 2
0 2 1
1 0 1
0 1 1
10 6
2 3 2
2 0 1
3 2 1
1 1 1
1 3 2
0 3 0
3 3 2
2 0 0
0 2 1
0 0 0
10 7
1 1 0
0 1 1
2 2 0
2 2 1
2 2 2
1 0 0
2 1 0
2 0 1
0 2 1
2 0 2
10 9
2 1 1
1 0 2
1 1 1
0 2 0
1 2 2
1 1 2
2 2 0
1 2 1
0 1 1
0 1 0
10 4
0 1 0
1 0 2
2 0 0
2 0 1
0 1 1
2 2 2
0 0 1
0 2 0
1 2 2
2 1 0
10 6
0 0 3
2 1 1
0 1 1
1 2 3
1 0 1
1 0 2
2 1 2
1 2 2
2 0 2
1 1 3
10 5
2 1 0
0 1 2
0 0 0
1 2 2
2 2 0
0 0 1
1 0 0
2 0 1
0 1 0
2 2 2
10 9
2 2 2
0 0 1
2 0 1
0 0 2
1 1 2
2 1 0
0 2 0
0 0 0
1 0 1
2 1 2
10 7
1 1 0
2 3 3
1 0 1
3 1 1
2 0 1
1 2 1
1 3 0
1 1 2
2 3 0
3 1 2
10 5
3 3 2
2 3 0
1 3 1
3 2 3
0 2 1
2 2 3
2 3 3
1 3 2
1 2 1
2 3 2
10 7
2 0 2
1 2 0
1 2 1
0 2 0
0 0 0
1 0 1
2 2 1
1 0 0
2 0 1
0 1 0
10 6
2 2 3
3 0 0
2 0 3
1 0 2
2 1 3
0 0 0
3 1 1
2 0 0
2 2 0
2 3 0
10 6
0 2 1
1 1 1
3 1 1
1 2 0
0 3 1
3 3 3
1 3 0
2 3 2
0 3 3
3 1 3
10 6
3 0 2
3 3 1
3 0 1
3 1 2
3 1 0
1 1 2
2 0 1
1 2 2
0 3 3
0 0 0
10 2
2 2 0
2 1 2
0 2 1
0 0 0
1 0 0
0 0 2
1 2 0
1 1 1
0 2 2
0 1 1
10 4
2 2 2
1 1 2
3 2 3
0 1 2
3 1 2
2 3 3
3 2 2
2 1 1
0 0 2
2 1 3
10 7
1 0 1
1 1 1
2 1 1
2 0 1
2 0 0
0 2 2
2 2 0
1 1 0
0 1 1
0 2 0
10 2
1 1 3
0 1 3
1 0 2
2 2 2
0 3 3
3 3 1
2 1 2
0 2 3
2 0 1
0 2 2
10 4
0 2 3
2 2 0
2 0 1
1 1 3
2 2 3
2 0 2
1 3 0
0 0 2
0 3 3
3 2 2
10 5
1 0 2
1 2 0
1 1 1
0 2 1
2 1 0
0 0 0
1 1 0
2 1 2
0 1 2
1 0 0
10 9
0 2 1
0 1 2
1 0 1
1 0 0
1 1 0
1 0 2
0 2 2
2 1 2
2 1 0
2 0 1
10 8
2 0 3
2 3 3
2 2 0
2 3 2
1 0 2
1 0 1
3 3 0
2 0 2
0 0 2
1 0 0
10 2
1 2 3
2 0 3
1 0 2
3 3 3
0 2 0
2 1 2
0 0 2
0 3 1
0 2 2
3 1 0
10 5
2 2 2
2 1 3
3 3 0
1 1 2
0 1 0
0 1 3
1 0 3
3 2 1
2 0 3
1 3 3
10 2
1 2 2
2 1 2
0 2 0
0 0 2
1 1 2
1 2 1
2 2 0
0 2 1
2 0 1
1 0 1
10 2
1 0 2
1 0 1
0 2 1
0 1 0
0 2 2
2 2 1
2 0 2
0 0 1
2 1 1
0 0 0
10 6
0 1 2
2 2 0
1 0 0
1 0 2
2 1 1
2 1 0
2 0 0
0 1 0
1 0 1
0 0 1
10 3
2 2 2
3 3 3
3 0 3
3 1 0
0 1 1
0 0 3
1 3 0
2 3 3
2 1 0
0 3 2
10 8
0 0 0
1 0 1
2 2 2
1 1 0
2 2 0
0 1 0
2 0 2
0 0 1
2 1 2
1 2 0
10 4
1 0 0
0 2 2
1 1 2
0 0 2
2 0 1
0 1 0
1 1 1
2 1 1
1 2 0
1 0 2
10 9
3 1 3
2 1 2
1 0 1
3 2 0
3 3 0
1 0 0
2 2 2
2 1 0
3 3 3
0 3 1
10 2
2 0 2
1 0 0
2 2 2
1 1 0
1 2 1
0 1 2
2 2 0
2 0 1
1 1 2
0 0 2
10 9
3 2 1
3 0 0
3 3 3
0 0 2
1 0 3
3 1 2
0 0 3
3 2 3
0 1 2
1 0 1
10 4
3 1 3
2 1 2
3 2 0
1 2 2
1 3 0
0 2 2
2 0 3
2 2 1
1 0 3
0 2 1
10 9
2 2 2
2 2 1
0 3 1
3 1 3
2 3 1
2 3 0
1 0 1
1 2 1
3 3 2
3 0 3
10 7
0 1 2
1 3 1
1 2 0
2 0 0
1 2 3
2 1 1
2 2 0
1 2 2
3 1 2
2 3 2
10 5
0 2 3
1 1 3
2 3 1
3 3 1
2 2 1
2 1 0
0 3 1
3 2 1
1 3 0
0 1 1
10 9
1 2 0
1 1 2
0 0 2
1 3 3
3 2 1
0 0 3
1 2 1
0 1 2
2 0 0
0 3 2
10 2
2 1 2
0 0 1
2 1 1
2 2 1
0 1 1
0 0 0
1 1 1
1 2 2
2 1 0
0 2 0
10 3
1 2 2
0 0 0
2 0 0
1 1 0
1 2 1
2 2 1
2 1 1
0 1 1
0 0 2
1 2 0
10 8
2 1 0
3 1 2
2 2 2
2 1 1
0 2 3
1 2 3
0 3 3
0 0 2
3 0 0
3 0 1
10 2
1 2 0
1 0 1
0 1 1
2 2 2
1 1 0
1 1 2
0 1 2
2 2 0
1 2 2
2 0 0
10 9
2 2 3
1 0 0
0 1 0
1 2 2
0 3 2
0 2 2
2 3 2
1 1 0
3 0 2
1 1 1
10 8
2 2 3
1 1 0
2 0 3
3 0 0
1 2 1
2 3 0
0 2 3
0 0 2
2 0 1
0 1 0
10 2
1 2 1
0 1 2
0 0 1
2 2 2
2 0 0
1 0 0
0 1 1
2 2 1
0 0 2
0 0 0
10 6
2 3 3
2 2 2
1 2 1
0 3 1
1 3 1
1 1 0
3 0 0
1 2 3
0 0 0
3 1 0
10 8
0 0 0
2 3 1
3 1 1
3 2 0
0 2 2
3 2 3
2 1 3
3 2 2
2 3 0
3 0 1
10 8
0 1 2
2 0 2
1 0 0
0 1 0
1 1 2
2 1 2
2 1 1
0 0 1
0 2 2
0 0 2
10 8
1 0 0
0 1 0
1 2 2
2 1 1
0 2 2
2 2 1
2 0 1
2 2 0
1 0 2
2 0 2
10 5
2 1 2
1 1 2
2 0 2
0 0 0
1 2 0
2 0 0
0 2 1
1 0 1
0 0 2
2 2 1
10 7
0 2 1
2 1 2
0 2 2
2 2 2
0 0 1
0 1 1
0 2 0
1 2 2
0 0 0
1 0 0
10 2
2 0 3
1 2 0
1 3 2
1 1 3
3 3 1
2 3 0
3 1 3
1 3 0
0 0 1
2 1 2
10 3
0 0 2
2 0 0
1 3 2
3 0 3
1 3 3
1 0 0
0 3 0
3 1 2
3 3 2
2 1 2
10 6
0 2 1
3 0 1
1 2 2
0 0 3
1 2 0
2 3 0
0 3 3
1 3 2
2 2 2
1 0 2
10 6
2 1 0
1 3 1
2 2 0
1 2 2
3 1 0
2 0 1
0 2 2
0 1 3
2 0 2
0 3 2
10 5
2 0 3
2 1 1
1 1 2
1 0 2
1 0 1
3 2 1
3 0 1
0 3 2
0 2 2
2 3 1
10 5
2 0 1
0 0 0
1 2 0
2 1 1
0 1 1
0 0 2
1 0 2
1 1 0
1 1 2
2 1 0
10 4
3 1 0
2 2 0
3 0 1
0 2 2
0 1 3
1 0 2
1 3 2
2 0 2
1 2 0
2 2 1
10 9
2 1 2
2 1 0
2 0 0
2 2 0
1 0 1
2 2 2
0 1 0
0 2 1
0 0 1
1 2 1
10 8
1 0 1
0 2 1
1 1 1
0 0 2
1 0 0
0 0 0
1 1 0
2 1 1
0 2 0
2 2 2
10 9
1 1 3
1 3 0
1 2 1
2 3 0
2 3 3
0 2 0
3 3 2
1 3 1
0 2 2
2 0 1
10 2
3 0 2
3 0 1
0 1 1
2 1 2
1 2 0
2 3 0
0 3 2
1 1 3
2 2 3
3 2 2
10 7
2 0 0
1 2 2
0 1 1
1 0 0
2 2 0
1 0 1
1 2 0
2 2 2
2 0 2
0 2 1
10 4
1 1 1
0 1 0
1 1 0
2 2 0
2 0 2
1 0 2
2 2 2
1 2 2
1 0 1
0 0 1
10 3
1 2 2
1 2 0
1 1 1
3 1 3
2 0 0
2 1 0
2 3 2
0 2 2
2 3 3
3 0 3
10 2
0 2 1
1 2 0
2 0 1
1 0 2
1 1 2
2 1 1
2 2 2
1 1 0
2 0 2
2 0 0
10 8
2 1 0
0 1 0
0 0 2
1 1 1
1 2 2
2 2 2
2 1 2
0 2 0
1 2 0
2 0 1
10 5
0 2 1
2 0 0
2 2 1
2 0 1
0 2 0
2 1 0
0 0 0
0 1 2
0 1 1
2 2 0
10 2
0 0 0
2 0 1
1 2 2
2 1 0
0 2 0
2 1 2
0 0 1
0 0 2
2 2 1
0 1 0
10 2
0 0 0
1 0 1
1 2 2
1 0 0
1 2 1
1 1 0
2 0 2
0 2 2
0 2 0
0 2 1
10 6
1 2 1
2 2 0
0 0 1
1 2 0
0 2 0
1 1 2
2 0 1
0 1 0
1 0 1
2 1 0
10 7
1 1 2
2 2 2
0 1 2
0 2 2
1 2 2
0 0 1
2 2 0
1 2 0
1 0 2
0 0 2
10 4
0 1 3
1 0 0
1 2 3
0 2 0
2 3 1
3 0 3
1 1 2
0 2 1
0 0 2
0 1 0
10 9
2 1 1
2 0 0
1 0 1
1 1 2
1 1 1
1 2 0
0 2 1
0 2 2
1 2 2
0 1 2
10 9
2 0 0
0 0 1
3 1 2
0 1 0
2 3 3
2 1 0
1 1 2
1 0 1
3 1 3
3 3 2
10 9
1 1 2
2 0 1
0 1 0
1 0 2
0 1 1
2 1 0
1 0 0
2 2 0
0 2 2
0 0 1
10 7
0 2 1
0 1 2
1 2 0
1 1 0
1 1 1
2 1 1
0 2 2
0 1 0
2 1 0
2 0 0
10 2
2 2 2
1 2 2
3 3 0
3 3 3
2 3 0
1 0 1
2 2 0
0 0 1
3 3 1
3 0 3
10 8
2 3 0
0 0 1
2 0 0
2 0 1
0 2 2
1 0 0
0 3 3
3 3 0
3 2 0
3 2 3
10 2
2 1 0
2 0 2
2 3 3
1 0 0
1 1 2
3 2 1
3 0 1
3 1 2
2 1 1
3 0 0
10 7
0 0 1
1 1 0
0 1 1
0 0 2
2 0 1
1 1 1
2 1 1
2 0 0
0 2 2
2 2 0
10 5
0 3 1
2 1 2
2 3 3
3 0 3
1 3 0
2 0 3
1 3 1
3 3 3
1 1 1
1 2 2
10 8
2 0 0
0 0 1
1 0 2
1 1 0
1 2 2
2 2 1
2 1 0
0 1 2
1 2 1
2 1 2
10 6
0 1 3
2 0 1
2 0 2
3 0 2
2 2 3
2 2 2
3 3 2
1 3 2
2 1 1
3 0 0
10 6
2 2 1
1 2 0
2 2 2
2 0 1
0 2 2
0 1 0
2 2 0
2 1 1
0 0 1
0 2 1
10 4
3 2 0
0 1 3
1 1 0
3 1 1
2 1 0
2 0 0
0 1 1
0 0 1
2 0 3
3 3 2
10 5
0 2 2
1 0 0
0 1 1
0 2 1
2 2 1
2 0 1
0 0 1
0 1 2
1 1 1
1 1 2
10 3
0 0 2
1 2 1
1 1 0
0 0 1
0 2 0
0 2 1
2 1 1
0 2 2
0 0 0
1 1 2
10 7
0 2 3
3 0 2
2 2 2
3 0 3
2 1 0
3 3 3
0 2 2
3 1 2
2 0 1
1 3 1
10 5
0 2 2
1 1 0
0 1 2
1 2 2
1 0 2
0 2 1
0 1 0
2 0 0
0 0 0
1 0 0
10 4
1 2 1
2 2 1
1 0 2
1 0 0
0 1 2
1 2 2
2 2 2
0 0 1
2 0 1
2 0 2
10 8
0 3 1
3 0 0
0 2 2
0 3 3
2 2 0
3 1 3
1 2 1
3 3 3
0 3 2
3 0 3
10 3
0 0 0
0 1 1
1 2 1
1 2 0
2 1 2
0 2 0
1 0 2
2 0 0
0 2 1
1 1 0
10 7
0 0 1
2 2 2
1 2 0
2 0 1
2 1 2
0 2 2
0 1 1
1 0 0
1 2 1
0 0 2
10 4
1 0 3
3 3 2
0 3 0
1 3 3
2 1 0
1 1 0
3 0 1
1 3 0
0 1 1
0 0 1
10 2
1 0 3
0 0 3
2 3 1
3 2 0
1 0 0
0 2 1
3 1 2
2 2 0
3 3 0
2 1 2
10 9
2 1 2
0 2 0
3 2 3
0 2 2
1 3 0
1 1 0
3 3 1
1 3 1
3 0 0
2 2 2
10 6
3 2 3
3 0 2
1 2 3
2 3 1
3 1 3
2 1 0
2 1 2
2 2 0
0 0 3
3 2 2
10 8
0 0 1
1 1 2
2 2 0
1 2 0
1 0 1
2 0 0
0 1 0
1 2 2
0 0 2
1 0 2
10 6
2 0 1
2 0 2
2 2 1
2 1 2
2 1 1
2 2 2
0 1 1
0 2 1
1 1 0
0 0 2
10 9
2 0 0
2 2 2
2 0 2
0 0 0
1 1 2
1 1 0
0 1 2
0 0 1
1 0 0
2 1 1
10 3
2 1 1
0 3 3
3 1 3
3 0 3
2 2 0
0 0 1
0 2 3
3 3 3
2 0 1
2 3 1
10 7
1 0 2
3 0 0
3 2 0
0 3 1
0 0 0
0 2 1
0 3 2
3 3 2
2 0 1
2 1 3
10 8
0 1 1
2 2 0
2 2 1
2 2 2
1 2 1
1 2 2
1 0 0
1 0 1
1 2 0
1 1 0
10 8
1 0 2
1 2 2
2 1 0
2 2 1
0 1 0
0 0 2
0 0 0
1 1 2
2 2 2
1 0 1
10 3
2 0 1
2 1 0
2 1 2
0 2 2
2 1 1
0 1 0
2 2 1
2 2 2
0 2 0
1 0 1
10 7
2 1 0
0 1 0
1 2 0
0 2 1
1 0 2
0 0 2
2 2 2
1 2 1
1 0 0
0 1 2
10 3
2 3 0
0 3 2
2 1 3
1 0 3
3 3 0
2 1 0
0 3 0
2 3 3
2 0 3
0 2 0
10 6
0 1 1
2 1 2
0 3 3
2 2 1
0 0 2
3 1 1
2 1 3
0 3 2
0 1 3
0 1 2
10 5
0 1 2
0 2 0
2 1 2
3 3 0
3 1 1
2 3 2
3 3 2
3 2 1
2 0 2
0 3 3
10 2
3 3 1
0 0 0
1 1 0
2 1 2
0 2 0
1 2 2
3 2 0
0 1 3
3 3 3
1 1 1
10 3
1 2 2
2 0 2
1 1 2
2 2 1
0 2 0
2 1 0
0 1 0
1 1 0
2 2 0
0 0 0
10 3
2 0 0
2 0 2
1 0 0
0 1 1
2 2 1
2 1 1
1 1 0
0 2 2
1 2 0
2 1 0
10 3
0 2 1
1 2 0
1 1 0
2 0 0
1 0 2
2 1 1
2 0 2
1 2 2
2 0 1
0 2 2
10 3
3 1 3
2 0 0
0 2 1
2 2 2
3 1 2
1 1 1
1 1 0
2 0 3
2 0 1
1 3 0
10 2
0 2 3
1 3 0
1 2 2
2 1 1
2 1 2
3 0 0
0 3 3
3 1 2
3 2 3
3 1 0
10 2
0 0 0
3 1 1
3 2 3
3 2 1
1 3 0
1 0 2
0 0 2
1 2 3
2 0 0
3 3 3
10 8
1 1 2
1 0 2
0 1 2
0 0 0
1 1 1
0 1 0
1 2 2
0 2 2
1 0 0
1 2 1
10 7
0 0 1
1 1 0
1 2 0
3 1 0
3 3 0
1 1 1
2 1 2
1 2 1
2 0 1
3 1 3
10 5
1 0 2
1 0 0
1 2 0
2 2 2
2 1 1
0 0 2
0 0 1
0 1 1
2 1 2
1 0 1
10 5
2 2 0
0 1 0
3 0 0
3 3 1
3 3 3
1 2 1
2 0 2
1 0 2
1 2 2
2 1 2
10 8
2 1 2
2 0 2
1 2 2
0 1 0
2 2 2
2 2 0
1 2 1
2 1 0
1 0 2
0 2 2
10 7
2 2 0
2 0 2
2 0 0
2 2 1
2 1 0
0 1 1
1 1 2
1 0 2
2 1 2
0 0 1
10 8
1 3 1
3 1 3
2 0 1
1 1 0
0 2 3
0 3 0
2 2 0
0 2 1
0 3 3
3 0 2
10 3
0 2 1
0 0 2
1 0 2
0 1 0
0 0 1
0 2 0
1 2 1
0 1 1
2 2 1
1 1 2
10 3
3 3 3
3 2 1
2 3 3
3 0 2
3 3 1
1 0 3
2 2 0
3 1 2
1 1 3
1 0 2
10 7
1 1 1
3 2 0
0 0 2
3 3 2
0 0 0
1 0 1
3 0 0
2 2 1
0 3 2
2 2 0
10 3
1 0 0
2 1 0
0 0 2
2 0 1
2 0 0
1 2 1
2 0 2
2 2 1
0 0 1
1 0 1
10 8
0 0 0
2 2 2
2 1 2
1 1 2
2 0 1
1 2 0
1 0 1
1 2 1
0 0 1
2 2 1
10 9
0 1 0
1 0 3
2 0 1
0 3 0
2 2 3
2 3 1
2 3 3
2 0 0
3 1 2
0 1 2
10 4
2 1 3
0 1 2
0 3 1
3 0 0
3 2 3
1 0 3
3 3 1
0 2 1
3 1 2
2 0 0
10 2
1 2 2
1 3 1
2 3 2
3 1 2
0 0 1
3 0 3
3 3 2
1 0 3
2 1 0
3 1 3
10 4
2 0 0
1 2 2
0 0 0
1 1 1
1 1 2
0 1 0
0 2 1
2 2 1
1 1 0
0 0 1
10 3
2 0 2
0 0 0
1 2 0
1 2 2
1 1 0
2 2 1
0 1 1
2 1 1
0 0 1
2 1 2
10 5
0 1 2
2 0 1
1 0 1
1 0 0
2 2 1
2 2 2
1 2 1
0 0 2
2 1 2
0 2 0
10 8
0 1 2
2 0 0
0 2 0
0 1 1
2 0 2
2 2 1
0 2 2
0 0 2
1 1 1
2 1 2
10 8
1 2 2
3 3 1
2 2 1
0 1 0
0 3 1
2 0 2
2 3 3
0 2 1
3 2 0
1 1 3
10 2
0 2 2
2 2 2
2 2 1
1 2 0
1 0 0
0 1 2
2 0 0
2 1 0
0 2 0
0 0 2
10 2
2 0 1
3 3 2
2 3 2
1 3 0
2 1 1
1 1 2
1 2 3
3 3 1
0 2 0
2 2 1
10 3
1 0 2
1 2 3
3 3 3
0 1 2
3 1 1
2 2 1
0 0 1
1 1 2
3 3 1
0 1 0
10 5
0 2 0
1 0 2
2 0 0
0 1 0
0 2 2
1 2 2
2 2 1
2 1 2
0 1 1
2 1 1
10 9
0 0 1
2 2 0
0 0 2
0 1 2
1 1 2
2 2 2
0 2 2
2 0 2
1 0 0
1 0 2
10 4
1 1 1
0 2 0
2 2 2
2 0 1
0 0 2
2 1 0
0 0 0
0 0 1
1 2 0
2 2 1
10 4
1 1 0
2 0 2
2 2 0
0 1 0
2 0 0
1 2 1
2 1 1
0 0 1
0 0 0
1 1 2
10 5
1 2 1
2 1 2
0 1 0
1 1 0
0 1 1
1 1 1
1 2 0
1 0 0
0 0 2
0 0 1
10 8
0 1 2
0 2 1
2 0 2
2 1 2
1 2 0
2 1 1
1 0 0
1 1 0
1 1 1
2 0 1
10 2
1 1 2
2 1 0
2 0 2
2 2 0
0 2 0
0 1 0
1 0 2
0 0 0
2 0 0
1 1 1
10 8
1 0 1
0 2 1
0 1 0
1 1 0
2 2 1
1 0 0
2 2 0
0 0 0
2 1 1
2 2 2
10 7
2 2 2
0 1 1
1 0 0
1 2 2
0 1 2
2 0 2
1 0 1
2 1 2
0 0 1
2 1 0
10 6
3 2 1
1 2 0
1 3 2
0 0 0
3 2 2
0 3 0
1 3 0
0 1 0
2 2 0
0 2 2
10 7
2 0 2
0 0 0
1 1 2
2 2 0
1 1 0
2 2 1
1 2 2
2 0 0
0 0 2
1 0 2
10 3
3 2 3
2 3 1
1 0 1
0 2 0
3 2 0
0 3 1
2 3 3
2 2 3
3 0 3
3 0 0
10 5
0 2 1
1 1 0
2 1 1
1 2 2
0 0 2
2 1 0
0 1 2
0 0 1
1 0 0
2 2 0
10 4
1 2 2
1 1 2
2 2 0
1 0 1
2 3 3
3 0 2
3 1 0
0 2 0
2 0 3
0 3 3
10 2
2 0 1
1 1 2
0 2 2
0 0 2
1 0 0
1 0 1
0 1 0
0 0 0
1 2 1
1 1 0
10 9
1 1 3
3 3 2
3 2 3
2 0 1
0 3 2
0 1 2
2 2 0
1 2 0
3 1 1
1 1 2
10 8
2 2 0
1 2 2
1 2 1
0 0 0
2 1 0
0 2 2
1 1 1
0 2 1
0 0 2
2 2 2
10 7
1 1 2
0 1 3
1 2 3
2 3 1
1 1 0
3 1 2
0 1 1
1 3 0
3 3 3
3 2 2
10 5
0 1 1
1 2 0
0 0 0
2 1 1
1 0 1
2 0 0
0 2 0
1 0 0
2 2 2
0 1 2
10 8
0 3 3
2 0 3
3 0 2
0 1 3
3 2 3
3 0 0
1 1 2
3 3 1
1 0 1
2 0 1
10 7
0 0 3
1 2 1
1 2 3
1 1 1
3 3 2
0 2 0
1 2 2
0 0 2
0 3 1
1 0 1
10 7
2 1 1
0 0 0
0 1 2
1 0 0
1 1 0
0 1 0
2 1 0
0 0 2
0 2 1
1 1 1
10 8
1 1 1
2 1 1
0 2 0
0 1 0
1 1 2
1 2 1
0 1 1
0 2 1
0 1 2
1 0 1
10 5
1 1 0
0 1 2
2 2 0
1 2 2
2 0 1
2 0 0
0 0 2
0 0 0
2 1 0
0 1 1
10 4
0 1 1
3 3 1
1 3 2
2 3 0
0 1 2
0 1 0
2 1 1
2 0 0
0 0 0
2 2 1
10 9
2 0 1
1 1 0
2 2 1
1 3 0
2 3 0
0 1 0
1 1 3
3 1 1
3 0 3
3 1 2
10 2
1 1 2
2 0 1
0 0 1
1 1 0
0 0 0
0 2 1
2 2 0
2 0 2
1 0 1
2 1 1
10 8
0 2 0
0 0 2
1 2 1
0 2 1
0 1 0
1 0 1
1 2 2
1 1 0
2 2 1
0 2 2
10 8
2 0 1
0 0 0
0 1 2
2 1 0
2 2 0
1 0 2
0 2 1
1 0 0
0 2 0
1 2 1
10 2
0 1 3
1 3 3
1 2 3
0 2 3
1 1 3
0 3 2
2 3 1
2 3 2
0 1 0
1 1 1
10 4
2 1 1
2 2 0
0 1 1
2 0 1
0 1 0
1 1 2
1 2 0
1 0 0
1 2 2
0 0 1
10 6
2 2 0
2 1 0
0 0 3
0 1 1
3 2 3
2 3 1
0 3 1
1 1 2
3 3 2
1 0 1
10 9
2 2 1
0 0 1
1 2 1
1 0 0
0 2 2
1 1 2
0 1 1
1 1 0
0 0 2
2 1 0
10 3
0 0 0
2 2 1
0 1 0
0 1 1
0 1 3
3 1 0
2 1 0
2 0 2
1 0 3
1 1 2
10 8
1 0 0
2 1 1
3 2 1
2 0 2
2 2 2
1 2 1
3 1 0
3 0 1
1 2 0
1 1 3
10 8
1 2 3
1 0 3
3 1 0
3 3 0
2 3 3
0 0 1
3 2 3
1 0 1
1 2 1
3 2 1
10 2
0 2 2
0 1 0
2 2 2
1 2 0
0 0 2
1 2 1
0 0 1
2 0 2
1 2 2
2 2 1
10 2
2 2 2
1 0 1
1 0 2
2 2 0
3 0 0
0 0 2
3 3 1
0 1 1
1 3 1
3 3 0
10 6
0 0 0
1 2 1
1 2 2
1 1 1
2 1 0
2 1 2
1 1 2
1 0 0
1 0 2
0 1 1
10 6
0 0 1
1 0 1
0 2 0
1 1 0
0 0 0
0 1 1
0 1 0
1 2 2
0 1 2
1 1 1
10 9
1 1 1
1 0 1
0 1 0
1 1 0
1 1 2
2 1 1
2 1 0
2 1 2
2 0 1
2 0 0
10 5
2 3 2
2 1 3
2 0 0
1 0 1
2 3 0
2 0 1
1 0 0
0 3 0
1 1 3
0 2 2
10 5
0 0 2
2 0 2
1 2 2
1 1 2
1 1 0
0 1 0
0 2 1
1 0 1
1 2 0
0 0 1
10 6
3 2 2
3 1 1
3 0 0
1 1 1
3 3 0
2 2 2
3 0 1
2 1 1
1 3 3
2 1 0
10 5
0 2 3
3 1 1
0 3 2
1 2 3
2 2 3
1 3 1
0 1 3
3 3 2
2 0 2
2 3 0
10 5
1 2 1
0 0 2
0 0 1
1 0 0
0 1 1
0 2 2
1 2 2
2 2 2
2 0 0
0 0 0
10 9
0 0 1
2 2 0
0 1 0
1 0 0
1 1 0
2 2 2
1 0 1
0 0 2
2 0 2
1 2 0
10 6
2 0 2
1 1 0
1 2 1
0 2 2
0 0 2
1 2 0
2 1 1
0 1 2
2 2 0
2 0 0
10 2
2 0 0
0 0 0
0 2 2
0 0 1
0 2 1
0 0 2
0 1 0
2 1 0
2 0 1
0 2 0
10 8
2 0 1
1 2 1
2 2 0
0 2 2
2 1 1
2 1 2
1 2 2
1 1 0
2 2 1
2 0 0
10 9
0 1 2
2 2 1
2 2 2
0 2 2
0 2 0
1 1 1
2 2 0
2 1 0
0 1 1
0 0 1
10 3
2 3 2
3 1 1
0 0 3
3 3 3
2 2 0
1 1 1
0 2 0
2 1 0
2 3 3
3 2 2
10 6
2 1 2
1 2 1
1 2 0
0 2 0
2 2 1
0 2 2
0 1 0
0 0 2
2 1 0
2 2 2
10 8
2 2 1
2 1 2
1 2 2
0 0 2
2 1 1
2 0 0
1 0 0
1 1 0
2 2 0
1 2 1
10 8
2 0 0
1 2 0
3 3 3
2 1 0
0 0 1
3 1 2
0 1 3
3 0 2
2 2 2
3 0 0
10 2
2 0 0
2 3 1
2 3 2
3 1 3
2 0 1
0 2 2
2 3 3
0 1 2
1 0 1
3 3 0
10 4
2 2 1
2 1 2
2 0 0
1 2 1
2 0 1
0 1 1
2 1 0
2 2 0
1 1 1
0 2 1
10 3
1 0 3
0 1 0
1 0 0
2 1 1
3 3 1
0 2 3
2 0 0
1 2 2
0 1 3
3 1 3
10 7
3 0 2
1 2 2
3 3 0
1 1 3
3 3 2
2 2 3
1 1 0
1 2 1
2 0 1
3 0 0
10 2
1 1 1
1 2 1
0 0 1
0 2 1
2 1 0
2 2 1
0 1 1
0 1 0
0 1 2
1 1 0
10 4
2 2 0
3 2 1
2 0 0
2 0 3
1 2 3
3 0 2
2 3 1
1 1 3
2 1 0
0 2 0
10 6
0 0 0
2 2 0
0 2 1
0 0 1
0 1 2
0 1 0
1 0 0
0 1 1
2 2 2
2 2 1
10 5
3 2 2
3 3 0
3 1 2
3 2 3
0 1 3
1 0 2
1 1 3
1 0 1
1 2 0
0 3 0
10 8
1 0 1
3 3 1
2 3 2
3 3 2
3 2 3
1 3 1
2 3 1
2 2 0
0 3 0
2 3 3
10 5
0 0 2
2 2 2
2 0 0
0 1 1
2 0 2
2 1 2
1 0 1
1 2 2
1 2 1
1 1 2
10 7
1 2 2
1 0 0
0 1 3
0 1 1
3 3 2
3 0 2
2 1 3
3 3 3
0 0 2
1 2 3
10 8
3 2 2
2 0 2
1 1 3
3 3 2
3 3 3
1 2 1
2 3 3
0 2 1
2 0 1
1 0 2
10 3
2 2 2
1 0 1
2 1 2
1 0 0
2 0 2
2 2 1
1 1 1
0 2 2
2 1 1
1 2 0
10 3
0 2 0
1 1 0
2 1 1
1 0 1
1 2 2
2 0 1
1 2 0
2 2 1
1 2 1
2 1 2
10 6
3 3 3
3 0 1
2 0 2
2 1 0
1 1 1
0 2 2
3 1 2
2 0 3
2 1 2
1 2 0
10 9
2 1 0
2 1 1
0 2 2
0 1 2
2 2 1
0 0 0
0 0 2
2 0 0
1 2 2
2 2 2
10 2
3 0 3
0 0 2
2 0 3
3 2 1
2 2 3
1 3 3
3 1 3
1 1 3
3 1 1
1 0 1
10 9
0 2 1
2 1 0
1 0 1
1 0 0
0 2 0
2 2 2
0 1 0
2 2 1
0 0 1
0 0 2
10 8
1 2 2
0 1 1
1 1 0
0 0 0
2 1 2
0 2 2
0 2 0
2 0 0
1 2 1
2 2 1
10 7
0 0 2
1 0 0
0 1 0
2 0 1
2 0 2
1 1 2
1 2 1
0 0 0
2 0 0
1 0 1
10 8
3 1 1
2 3 1
2 0 3
2 1 3
1 2 0
1 0 2
1 2 1
2 1 0
2 0 0
2 3 2
10 2
2 0 0
2 1 3
3 1 3
2 0 2
0 3 2
1 3 0
1 0 2
0 3 0
1 3 1
1 2 1
10 2
3 3 2
0 0 2
0 1 2
3 1 2
3 0 3
3 2 0
1 3 2
3 1 0
0 2 3
1 1 0
10 6
0 0 2
0 2 0
2 0 2
1 0 2
0 0 1
0 1 2
1 1 2
1 0 1
2 0 1
2 2 0
10 9
3 2 0
3 1 1
0 1 3
3 2 1
0 0 0
2 1 2
1 2 0
2 0 2
3 1 3
2 2 1
10 4
0 2 2
1 3 2
3 0 1
2 1 1
1 0 2
3 0 0
2 2 2
1 2 0
1 0 3
1 2 2
10 6
3 2 0
2 3 1
0 0 2
0 2 2
2 1 2
2 2 0
2 0 2
1 1 1
1 0 2
3 1 0
10 2
3 1 3
1 3 0
1 0 3
0 0 0
1 2 2
2 3 1
1 3 1
1 1 1
1 2 1
0 2 3
10 3
2 1 1
2 0 1
0 1 1
0 0 2
0 2 0
0 0 1
2 1 2
1 2 2
2 0 0
0 2 2
10 4
1 0 1
0 0 2
1 0 2
0 1 2
0 2 0
1 2 2
0 0 0
1 1 0
0 2 1
2 1 2
10 8
0 0 0
0 1 1
2 1 2
2 0 1
2 1 1
1 0 1
1 1 1
1 2 0
0 2 1
2 0 0
10 8
1 1 3
1 0 2
2 3 0
0 2 1
2 0 3
3 0 0
0 1 1
2 2 3
3 1 0
0 1 0
10 3
0 0 2
0 2 1
2 3 2
2 2 1
1 0 2
3 0 1
0 3 1
0 3 0
3 0 3
1 1 0
10 9
3 2 3
0 3 2
1 2 3
3 0 2
1 0 0
2 0 2
3 0 0
0 1 2
3 2 0
3 3 2
10 5
0 3 3
0 0 1
2 1 1
0 3 0
2 1 2
1 3 2
2 2 1
1 0 2
3 1 0
2 3 3
10 9
1 0 1
3 1 1
0 2 0
0 1 3
1 1 0
1 3 1
1 3 0
3 1 2
3 0 0
0 3 2
10 8
1 0 2
0 1 2
0 2 1
1 0 1
0 2 2
0 1 1
1 0 0
2 0 0
2 0 2
1 2 1
10 7
2 2 2
0 1 0
2 2 0
0 1 2
1 0 2
0 2 2
0 0 0
2 1 0
0 2 1
2 1 1
10 2
2 0 1
0 0 1
2 2 1
0 0 0
1 0 0
0 1 2
1 0 1
1 2 1
2 1 1
0 0 2
10 9
0 3 0
1 2 2
0 1 3
1 1 0
1 1 3
3 2 0
3 0 2
2 3 1
3 2 3
0 0 1
10 8
0 2 0
1 3 3
0 0 3
3 2 2
1 0 1
3 2 1
1 3 1
0 1 2
2 1 1
3 0 0
10 9
1 0 0
0 2 0
2 0 2
0 1 2
2 2 1
1 1 1
0 1 1
1 2 1
1 1 2
1 0 2
10 9
2 1 0
0 0 2
2 0 0
2 2 1
1 0 0
2 1 1
0 2 0
0 0 1
2 2 0
0 1 1
10 7
1 1 2
0 1 0
0 0 1
2 0 1
0 0 2
1 2 1
0 0 0
2 2 2
2 1 1
2 2 1
10 9
0 1 3
0 0 0
2 2 1
1 3 1
0 0 2
2 1 2
3 1 1
1 0 3
1 3 3
3 1 2
10 7
0 0 3
1 1 3
2 3 1
3 0 3
2 1 0
1 2 0
0 1 2
2 3 0
1 2 2
1 3 1
10 6
0 2 2
2 1 1
2 0 1
0 1 0
0 2 0
0 0 2
2 1 0
2 0 0
2 0 2
1 1 1
10 9
3 2 0
2 1 2
3 3 0
1 0 0
0 0 0
0 2 1
2 0 3
3 1 2
1 2 2
1 3 0
10 9
1 0 0
1 2 0
0 2 0
1 0 2
0 1 0
0 0 0
2 1 0
2 2 2
1 0 1
0 1 2
10 3
2 2 2
1 1 1
1 2 0
2 1 2
2 1 1
0 0 2
1 2 2
1 0 2
1 1 2
0 2 0
10 7
1 0 0
2 0 0
0 3 2
1 0 3
2 2 2
0 3 3
3 3 1
0 2 2
1 3 0
3 3 3
10 9
0 2 0
1 2 0
2 1 2
2 0 1
2 2 1
1 2 1
1 1 2
0 0 1
0 0 2
1 1 0
10 7
3 1 1
1 2 3
1 2 1
3 3 0
1 0 0
2 1 2
1 0 2
3 1 0
3 2 2
3 1 2
10 2
3 2 3
3 1 3
1 1 1
3 0 1
2 0 3
2 3 1
0 1 2
0 1 1
1 0 0
3 0 2
10 6
2 0 2
2 1 0
1 0 0
1 1 0
1 1 1
0 1 0
0 0 1
1 0 2
1 2 0
2 0 1
10 9
1 0 0
1 2 1
0 1 0
2 1 1
0 1 2
0 0 1
0 2 2
1 1 1
2 0 0
0 0 0
10 4
1 0 3
2 0 2
0 3 0
2 3 0
0 0 1
3 3 0
3 0 2
0 2 3
0 3 2
1 1 1
10 6
1 0 2
2 1 0
1 0 0
0 2 0
2 2 0
1 2 2
1 2 1
0 2 2
0 1 2
1 1 0
10 4
3 1 2
1 2 3
0 0 2
3 3 2
0 1 3
3 1 1
3 3 1
2 3 0
1 3 3
1 0 0
10 3
0 0 0
2 0 2
2 1 3
3 3 1
1 1 3
0 1 1
0 1 2
1 0 3
0 3 3
1 1 2
10 6
0 0 3
3 1 0
1 1 2
1 3 1
0 3 1
3 2 0
3 2 3
0 0 1
3 2 2
1 3 2
10 5
2 2 3
1 3 2
1 3 0
1 3 3
1 2 3
3 1 3
3 1 2
0 2 3
0 0 2
2 1 2
10 8
1 2 0
0 0 1
3 3 3
2 0 1
3 0 2
1 2 2
0 2 0
0 0 2
3 3 0
3 0 0
10 5
2 0 2
0 0 1
0 3 3
2 2 0
2 1 2
2 3 3
1 3 1
2 1 1
2 3 0
1 3 0
10 8
2 3 0
3 3 3
0 3 3
3 0 2
1 3 0
0 1 0
1 0 0
1 3 3
0 3 0
2 2 3
10 7
1 1 2
0 2 0
2 1 0
2 2 0
0 0 2
0 2 2
1 2 1
2 0 1
1 1 0
1 0 0
10 8
1 0 0
2 0 2
2 1 1
1 1 1
1 2 1
2 2 0
0 0 2
0 1 0
2 2 1
0 1 1
10 7
1 2 2
0 2 0
2 1 1
1 3 1
3 3 1
2 3 2
1 1 2
3 0 1
0 0 3
2 0 3
10 4
0 3 0
3 0 3
0 0 3
2 0 2
0 0 2
1 3 2
1 0 2
3 3 2
0 3 3
1 1 2
10 8
1 2 0
2 0 2
2 0 1
1 1 2
0 1 0
1 0 0
2 0 0
0 0 2
2 1 1
1 0 1
10 7
3 2 0
0 3 2
0 1 2
2 1 3
2 3 0
1 2 0
0 2 2
3 1 3
0 3 0
0 3 3
10 3
3 0 0
3 2 2
1 1 3
0 1 1
2 2 3
0 1 0
1 2 0
1 1 2
0 2 2
3 1 2
10 5
2 2 2
1 2 2
0 1 0
2 2 1
0 2 2
1 1 2
2 1 1
2 1 2
2 0 0
1 1 1
10 3
3 1 1
2 2 3
0 0 1
2 2 1
0 3 0
0 1 1
2 1 3
1 3 0
1 3 3
2 3 1
10 8
2 2 1
2 2 0
0 1 0
1 0 0
2 1 1
1 1 1
0 1 1
1 0 2
2 2 2
1 2 0
10 8
2 1 3
0 0 3
0 1 0
0 0 2
2 2 2
3 0 2
3 2 0
0 3 2
1 3 2
3 3 3
10 5
0 1 2
2 2 2
1 0 1
1 1 2
1 0 2
0 2 0
1 2 0
0 0 2
0 2 1
0 0 1
10 6
1 3 3
0 1 2
1 3 1
0 0 3
1 2 0
1 0 2
3 0 3
1 2 2
0 1 1
3 1 3
10 5
2 0 2
1 0 3
0 3 1
1 0 0
1 1 2
3 0 2
1 2 2
3 1 3
2 3 2
3 3 1
10 6
1 2 2
0 0 1
1 0 1
1 1 0
0 1 0
0 1 2
1 1 1
2 0 1
1 2 1
2 2 1
10 5
1 2 2
1 0 1
1 0 0
2 1 2
1 0 2
2 2 2
0 2 0
2 0 2
2 0 1
0 1 0
10 5
0 0 1
2 2 0
0 1 2
2 0 2
0 2 1
1 2 2
2 2 1
0 0 2
1 0 0
1 1 1
10 9
3 1 1
3 2 2
2 3 0
2 3 2
3 1 2
2 2 1
0 3 1
1 0 2
1 1 2
2 1 0
10 3
0 2 0
0 0 1
2 0 1
3 3 3
1 0 2
1 1 2
0 0 2
0 1 1
3 0 1
0 2 1
10 7
0 3 3
3 0 0
0 3 2
2 3 1
1 2 2
1 3 0
1 0 3
2 1 2
0 3 1
1 2 0
10 8
2 0 0
0 2 1
1 0 1
2 2 2
1 2 1
0 2 2
0 1 1
0 2 0
1 2 0
2 0 1
10 7
1 1 1
2 1 2
2 2 2
1 2 1
2 1 0
2 0 1
1 0 2
1 0 1
0 2 2
1 2 0
10 7
1 0 0
0 0 2
1 2 2
0 1 0
1 1 1
2 1 2
0 2 0
1 2 1
0 1 1
1 2 0
10 8
2 2 1
2 3 2
1 3 3
3 0 1
3 3 1
1 0 3
1 2 3
0 1 0
0 0 1
1 1 1
10 7
1 1 3
1 1 2
3 0 3
1 2 0
2 2 1
1 2 3
3 2 1
0 1 1
1 0 1
1 3 3
10 2
0 1 1
1 0 1
2 1 1
1 0 0
0 1 0
2 2 0
2 0 2
0 1 2
2 2 1
1 1 2
10 6
3 0 3
3 2 2
0 0 0
2 1 2
1 2 2
2 1 3
0 0 1
2 2 0
0 2 1
1 3 3
10 2
0 1 0
0 0 2
2 0 1
1 0 0
1 1 0
0 2 2
2 2 2
2 0 0
0 0 0
2 2 1
10 3
2 1 1
0 2 0
0 0 0
2 2 1
1 0 0
2 1 0
1 1 0
0 0 2
0 0 1
2 1 2
10 3
0 2 0
1 0 0
0 1 1
2 0 0
2 1 0
2 2 0
0 2 2
1 1 0
1 1 2
2 1 2
10 2
2 1 1
0 0 0
2 0 1
1 0 2
2 2 2
2 0 2
1 2 0
0 2 2
0 1 1
2 2 0
10 9
2 3 1
1 1 3
2 1 3
1 0 2
2 1 2
2 0 0
3 0 2
3 0 3
2 3 3
1 3 1
10 5
1 2 2
2 1 1
1 1 0
1 1 2
0 0 1
0 2 1
1 0 0
0 0 0
0 2 0
2 1 2
10 8
3 1 3
2 2 3
2 1 0
0 3 3
2 0 2
1 0 2
1 2 3
2 1 2
2 2 0
1 1 0
10 4
1 2 2
1 1 0
0 2 2
1 0 0
0 2 0
0 0 1
0 1 2
2 0 1
2 1 1
2 2 1
10 6
1 0 1
0 0 0
0 0 1
1 0 0
2 2 3
2 2 1
2 1 2
2 0 1
2 3 3
0 3 3
10 5
2 2 2
2 0 1
3 0 3
0 2 1
2 0 3
1 1 1
2 3 2
1 2 1
0 0 2
2 2 0
10 4
1 1 2
1 2 2
2 2 1
2 1 0
0 0 1
2 2 2
0 1 2
0 1 0
0 0 2
1 0 0
10 4
1 1 1
1 1 2
0 1 0
2 2 0
2 1 1
0 2 2
0 0 1
1 2 0
0 1 2
1 2 2
10 9
2 1 1
1 1 0
2 0 1
1 0 0
1 2 1
1 2 2
0 2 1
0 2 0
0 1 0
1 1 2
10 8
2 1 0
1 2 0
1 1 0
0 2 0
2 0 1
1 1 2
1 0 2
1 2 1
2 1 1
1 0 0
10 3
2 1 0
2 0 1
2 2 0
1 2 1
1 1 2
0 0 2
1 1 0
2 0 2
0 2 1
1 2 2
10 9
0 2 0
1 1 0
0 1 1
2 1 0
1 2 0
1 1 2
1 2 1
2 2 0
0 0 1
0 2 1
10 5
2 2 0
1 0 1
1 1 2
2 1 1
2 2 3
0 1 0
1 3 1
2 1 2
1 0 2
3 1 1
10 4
2 2 2
0 2 2
0 1 2
1 1 1
0 0 1
1 2 0
1 1 2
0 0 0
1 2 1
2 1 1
10 9
0 3 0
2 1 1
2 1 0
2 3 0
0 3 1
0 2 0
2 0 3
2 1 3
1 1 0
2 2 2
10 5
0 0 2
1 2 0
2 1 1
2 0 0
2 2 2
0 1 0
2 0 1
1 2 1
1 1 0
0 0 0
10 4
1 2 1
0 1 1
2 0 0
2 2 2
0 2 0
1 0 1
0 2 1
2 1 1
0 2 2
2 0 1
10 4
1 3 0
0 0 2
1 1 0
0 0 1
0 1 2
0 1 3
0 0 3
2 2 2
3 0 2
1 1 2
10 3
2 0 0
3 3 1
2 2 3
3 3 2
1 3 1
0 3 1
1 1 3
2 3 0
3 1 0
1 0 3
10 3
3 3 2
0 3 3
1 0 2
0 3 2
3 3 0
3 2 0
1 3 2
2 1 3
0 1 0
1 0 1
10 7
1 3 2
1 0 0
3 3 0
3 2 1
0 1 2
2 3 1
3 3 1
3 3 2
3 0 1
2 1 0
10 9
0 0 0
1 0 1
0 2 0
2 2 2
1 0 0
1 2 2
1 1 1
1 2 1
1 0 2
2 1 2
10 5
2 1 2
1 1 1
2 2 1
0 0 1
2 2 2
2 0 2
1 1 2
1 2 1
2 0 0
0 1 0
10 3
0 1 3
2 1 3
1 3 1
3 3 1
1 2 3
3 0 1
2 1 0
3 2 2
2 3 3
2 3 1
10 7
0 2 2
2 1 2
1 0 2
0 2 0
1 2 0
1 0 0
2 2 1
0 2 1
0 0 2
0 0 0
10 6
2 2 2
2 1 0
2 0 2
2 2 1
2 1 2
0 1 1
1 0 1
1 2 1
2 0 0
0 1 0
10 2
0 3 0
0 1 1
3 3 3
0 2 2
3 1 3
0 2 0
2 0 3
3 1 2
1 2 0
2 2 1
10 6
3 0 0
1 2 0
2 2 1
0 0 2
3 2 3
2 1 1
3 1 3
2 1 3
1 3 3
3 2 0
10 7
3 2 0
2 2 1
2 2 2
0 2 2
2 2 0
1 3 1
1 0 3
3 3 2
2 0 2
0 0 0
10 4
0 2 0
1 3 1
1 0 2
2 0 3
0 0 0
3 1 2
0 1 3
2 2 1
3 0 0
3 1 3
10 5
2 2 3
1 0 0
2 0 3
3 1 3
3 0 2
1 2 2
3 1 1
2 2 0
1 2 3
0 2 1
10 7
3 2 2
0 2 3
2 2 0
3 0 1
0 2 2
1 2 3
0 2 0
2 3 3
2 0 1
2 0 0
10 5
2 2 2
2 0 2
1 0 2
1 1 1
0 0 0
2 1 0
2 1 2
1 0 1
0 0 2
2 2 1
10 8
2 0 2
1 1 2
2 2 2
0 1 0
2 2 1
2 0 0
0 1 2
0 2 0
2 1 1
1 1 0
10 7
0 0 2
2 2 0
0 1 1
2 2 2
1 1 1
1 2 1
2 2 1
2 0 1
2 1 2
0 0 0
10 4
1 0 0
0 1 0
2 1 1
1 1 0
2 1 2
2 2 0
1 2 0
2 0 0
0 0 1
0 1 2
10 4
3 2 1
0 2 2
1 2 0
1 2 2
0 0 0
2 1 3
0 0 2
0 2 0
2 2 1
3 1 0
10 2
0 2 1
1 2 0
3 0 1
3 3 2
2 1 3
3 1 2
3 3 3
0 3 3
0 0 0
0 0 2
10 6
2 1 3
1 2 1
3 0 2
3 2 3
3 1 3
2 0 2
0 0 3
3 0 1
0 3 2
0 1 0
10 8
1 1 2
1 0 0
0 1 2
2 1 0
2 2 2
1 1 0
2 0 0
1 1 1
0 2 1
0 2 0
10 9
1 1 2
2 1 2
0 2 2
2 2 0
2 0 2
0 2 1
2 1 1
0 1 2
1 2 2
2 2 2
10 2
2 2 2
2 0 0
2 1 2
1 1 1
0 2 0
0 1 1
1 1 2
0 0 2
1 0 0
0 0 0
10 3
3 2 2
2 3 3
1 2 2
1 0 0
0 1 2
1 0 3
2 0 3
1 2 1
1 3 2
2 2 1
10 6
0 1 0
0 3 3
0 0 3
1 0 3
1 3 0
2 0 0
3 1 2
3 0 3
1 1 0
1 2 2
10 2
1 3 2
2 0 0
3 2 1
3 1 3
3 3 1
0 2 0
2 2 2
2 1 3
2 0 3
2 1 1
10 9
0 2 1
1 0 0
2 1 1
2 1 0
0 1 2
0 0 2
1 2 2
1 2 0
0 2 2
0 1 1
10 6
1 1 1
0 1 0
3 2 1
3 1 2
3 2 0
1 1 0
0 3 1
2 3 2
0 0 0
3 0 1
10 5
3 2 3
3 0 2
1 2 3
0 0 2
2 3 0
0 3 1
1 0 0
2 2 2
2 2 1
2 0 1
10 5
3 1 2
3 1 0
2 0 1
0 2 1
1 0 3
3 0 0
2 2 0
0 2 3
2 3 0
2 1 3
10 6
0 1 1
2 1 0
1 2 2
0 0 2
0 1 2
0 0 1
1 2 1
1 2 0
2 1 2
1 0 1
10 9
1 2 0
1 0 1
0 0 2
0 2 1
2 2 2
0 1 0
1 1 0
2 1 1
1 1 2
1 0 2
10 6
1 1 0
2 2 0
1 2 0
0 2 2
2 2 2
0 0 2
0 0 1
2 1 0
0 1 1
0 1 2
10 5
1 3 0
1 3 1
3 2 0
2 2 2
0 2 2
2 2 1
0 1 0
2 1 0
3 0 1
0 0 0
10 7
0 2 3
3 3 0
3 1 0
2 3 3
1 2 0
2 2 3
0 3 2
1 3 0
0 0 0
3 2 1
10 7
2 0 0
0 2 2
2 0 1
1 1 0
1 1 1
0 1 2
1 2 2
0 2 1
1 1 2
2 0 2
10 8
2 1 2
2 2 1
0 2 2
1 2 0
1 1 0
1 1 2
0 0 0
0 1 0
0 0 2
0 2 1
10 4
2 1 2
0 3 1
0 3 3
1 3 1
0 2 3
2 3 1
1 0 2
3 0 3
0 0 1
3 2 1
10 6
3 0 1
2 3 2
3 0 3
3 2 2
0 1 3
0 2 3
2 3 3
2 0 2
1 2 1
1 0 1
10 6
1 2 2
1 2 0
1 1 0
0 1 1
0 0 0
2 0 2
2 1 1
2 2 2
0 1 2
2 2 1
10 3
2 0 1
1 1 1
2 1 1
2 1 0
0 1 0
0 1 2
2 0 0
2 2 1
1 1 2
1 2 0
10 5
0 1 2
3 0 1
1 3 2
2 3 1
1 1 2
3 2 3
3 1 3
2 2 3
1 2 1
0 2 1
10 5
0 2 0
3 3 3
1 2 2
2 1 1
2 0 0
0 2 1
1 3 1
2 2 0
2 2 3
1 1 3
10 2
2 2 2
1 0 0
0 2 0
3 1 3
0 3 2
0 3 1
2 1 2
2 3 0
0 3 3
0 2 1
10 4
1 0 0
2 1 2
2 1 3
0 0 3
3 0 2
2 1 1
0 0 2
3 1 0
0 3 2
3 0 0
10 3
1 0 0
0 3 2
0 1 0
3 1 0
2 2 2
0 3 1
3 3 1
1 2 0
3 0 1
3 0 3
10 3
3 3 1
3 3 3
3 1 0
1 0 3
2 1 2
2 0 2
1 0 2
0 3 1
3 2 2
3 3 0
10 4
2 0 0
2 1 3
1 3 1
1 3 2
2 1 2
2 3 1
0 3 1
2 2 2
0 2 0
1 2 1
10 5
2 2 3
3 1 0
2 0 3
2 3 2
0 2 1
0 0 2
0 3 1
2 1 0
3 2 3
3 3 0
10 3
1 0 0
2 0 0
0 0 2
1 2 0
1 1 2
0 0 0
0 0 1
1 2 2
1 2 1
2 2 2
10 8
3 1 1
2 3 2
0 2 3
2 2 3
0 1 3
3 3 1
2 2 1
2 1 2
1 0 3
0 0 2
10 7
1 0 1
1 1 1
1 1 2
2 1 2
2 2 2
2 0 1
2 1 1
1 0 0
1 2 1
2 1 0
10 6
2 2 1
0 1 2
1 0 0
2 1 2
0 1 1
0 2 1
1 2 0
0 0 1
1 2 1
1 0 2
10 4
1 2 2
2 1 2
1 2 1
0 0 2
0 0 0
2 2 2
2 0 0
1 0 1
1 2 0
0 0 1
10 2
2 0 2
2 1 2
2 3 0
0 0 2
2 0 3
1 2 0
0 1 1
2 1 0
3 3 3
3 2 3
10 6
1 2 0
2 0 1
0 2 1
2 1 0
0 2 0
2 1 1
1 2 1
0 2 2
1 2 2
0 1 1
10 2
0 1 2
2 0 1
1 2 2
1 2 0
2 2 2
0 0 0
1 1 1
0 2 1
1 1 2
2 1 0
10 9
1 1 2
2 0 0
0 0 0
0 0 2
0 1 2
0 1 1
1 2 2
0 2 1
1 2 1
0 0 1
10 4
2 2 1
0 0 2
0 2 1
2 0 0
0 0 1
1 0 0
2 1 1
1 0 2
2 1 2
1 2 1
10 3
0 2 1
1 2 2
2 2 2
1 1 1
2 0 0
0 0 1
2 0 2
2 0 1
1 2 1
0 1 1
10 9
0 0 0
2 3 0
3 2 1
3 0 1
1 2 1
3 0 2
2 1 3
0 3 2
3 3 1
0 2 0
10 9
2 0 1
0 1 1
0 1 0
2 2 1
2 0 2
2 2 0
0 2 1
1 0 0
1 2 0
0 0 1
10 4
3 2 3
2 3 1
2 1 3
1 2 2
1 0 1
3 2 0
0 2 0
2 0 3
2 3 0
0 0 1
10 6
0 0 0
0 1 1
1 0 2
2 1 0
2 0 2
0 2 1
1 1 0
2 1 2
1 2 0
0 1 0
10 7
2 0 1
0 1 0
0 1 2
0 2 1
1 2 0
1 1 2
1 1 0
2 0 2
0 1 1
2 2 0
10 4
2 2 2
0 1 1
2 2 1
2 0 0
2 1 1
1 1 1
1 1 0
1 0 2
0 2 2
0 0 1
10 7
2 0 0
2 2 2
1 0 1
1 0 2
1 2 1
0 0 0
1 1 1
1 1 0
1 1 2
0 2 0
10 6
3 0 3
0 0 2
1 1 1
0 0 1
0 2 0
1 0 3
3 2 2
3 2 0
1 3 2
0 3 1
10 3
3 2 3
3 3 3
2 2 0
3 1 2
1 2 0
0 1 0
2 1 3
1 0 2
0 2 2
0 0 3
10 5
1 0 2
2 0 0
0 2 2
2 1 2
2 2 0
1 0 1
0 0 0
0 0 1
0 0 2
0 1 0
10 9
1 2 2
0 0 2
2 1 0
0 0 1
1 2 0
2 0 1
0 0 0
1 1 1
1 1 2
0 2 1
10 9
2 0 3
1 3 1
1 0 2
2 0 2
0 0 0
2 2 2
3 3 1
1 2 2
3 1 3
0 1 1
10 3
0 1 3
2 0 0
3 1 1
0 1 1
3 2 3
1 0 1
2 1 0
2 0 1
3 0 3
1 1 0
10 7
3 2 2
0 0 2
2 3 3
3 0 2
2 2 1
1 2 3
0 2 3
2 2 0
0 3 3
3 1 0
10 3
3 2 3
3 1 3
1 2 1
3 1 1
0 1 2
1 0 1
3 0 1
1 1 2
3 0 3
1 3 2
10 4
3 0 1
2 3 1
1 2 1
0 0 1
3 2 3
2 2 2
2 1 0
2 2 1
0 2 1
3 1 3
10 3
2 0 2
0 0 1
2 1 1
0 2 1
1 0 0
0 1 2
2 1 0
2 0 0
2 2 2
1 1 2
10 2
0 2 1
2 1 1
2 2 0
1 2 0
1 1 1
0 1 1
0 2 0
1 1 0
1 1 2
2 2 2
10 3
3 2 3
3 3 1
1 1 3
0 0 0
1 2 2
1 2 1
0 2 3
2 2 2
1 2 3
1 1 1
10 8
1 0 0
0 3 2
2 3 0
1 2 0
1 3 3
1 2 2
3 1 1
1 0 3
1 1 1
3 2 0
10 2
2 1 2
0 0 1
2 0 2
0 2 1
1 2 2
0 0 0
1 2 0
2 1 1
0 1 2
1 0 2
10 7
1 3 0
3 2 0
0 2 3
2 0 2
3 1 1
1 3 1
0 3 1
0 2 0
0 0 3
1 1 3
10 7
2 0 1
1 2 2
2 3 3
2 1 3
2 1 1
0 0 0
0 0 2
0 1 3
3 3 1
1 0 1
10 5
3 1 3
3 3 1
1 0 3
3 2 0
2 3 2
1 2 0
3 3 0
2 1 1
2 2 0
2 1 2
10 6
1 1 1
0 0 2
2 0 2
0 1 0
2 3 1
3 2 3
3 1 0
3 2 2
0 0 0
1 1 3
10 3
3 0 0
2 3 1
0 1 1
3 2 0
1 0 3
2 0 3
3 2 3
0 2 0
3 3 3
2 1 1
10 3
1 3 3
2 0 2
2 2 1
3 0 3
2 1 2
1 0 1
1 1 3
2 3 1
1 1 2
3 2 0
10 5
1 2 1
3 1 2
0 0 0
1 0 2
1 2 2
0 1 0
1 1 1
2 2 1
0 0 3
1 3 3
10 2
0 2 1
0 0 2
2 2 2
2 0 2
0 2 2
0 1 0
1 1 1
1 0 1
1 0 2
2 0 0
10 6
0 0 0
3 1 1
2 0 1
2 2 0
3 2 1
1 2 3
3 0 0
0 3 1
0 1 3
2 2 1
10 9
1 2 2
2 2 0
0 1 0
2 0 2
1 0 0
0 2 2
1 0 2
0 1 2
2 0 1
0 0 2
10 8
0 2 2
2 0 0
2 0 2
2 1 2
0 1 0
2 1 1
0 2 0
1 0 0
1 1 0
2 2 0
10 2
1 0 2
2 0 2
0 2 1
2 1 0
1 1 1
0 2 2
1 2 0
1 2 1
0 0 1
1 1 2
10 2
1 1 1
1 2 2
2 1 0
1 2 1
2 2 0
1 0 2
1 0 0
1 1 2
1 0 1
2 0 1
10 5
0 2 0
2 3 3
2 3 0
3 3 0
1 0 0
2 2 2
0 1 1
0 3 1
3 1 3
2 0 3
10 7
1 1 3
1 3 2
3 1 2
3 0 3
2 3 1
2 1 3
1 2 0
3 3 2
0 3 1
3 2 0
10 2
1 0 3
2 3 0
2 0 0
0 2 1
1 3 2
0 0 1
2 3 3
0 1 2
2 3 2
3 0 3
10 5
2 3 2
0 3 2
0 2 1
1 1 3
0 2 2
2 1 1
2 0 3
3 0 0
3 2 0
0 0 0
10 3
0 0 0
0 3 1
1 3 3
1 1 1
2 2 1
3 0 2
1 2 3
2 0 0
2 0 3
1 0 0
10 2
1 0 2
0 2 1
1 1 0
0 2 2
2 2 0
1 2 1
0 0 2
2 0 0
1 0 1
0 0 1
10 2
1 1 3
1 3 2
3 1 1
1 1 0
2 3 3
2 3 1
3 2 2
2 2 0
1 3 1
3 0 3
10 2
2 0 0
0 2 2
1 2 2
0 0 2
1 0 1
1 2 0
1 2 1
2 0 1
2 2 0
1 0 0
10 4
2 0 0
2 2 0
1 0 0
2 2 2
2 0 1
1 0 1
0 1 2
0 2 1
0 0 2
2 1 0
10 5
0 2 1
1 0 2
2 1 1
2 1 0
0 0 1
2 0 0
1 2 1
0 2 0
2 2 1
1 2 0
10 9
0 1 2
2 1 2
1 2 1
0 0 0
0 2 2
2 0 1
0 2 0
2 1 1
1 0 1
1 0 2
10 2
2 1 2
1 2 0
1 3 1
1 1 1
1 0 0
3 3 0
0 2 1
1 2 1
3 0 3
2 2 3
10 5
2 0 2
2 2 0
1 2 1
1 0 1
0 2 2
1 2 0
1 1 1
2 1 1
0 1 0
0 2 0
10 3
0 2 2
3 2 3
1 2 0
2 3 2
2 0 1
0 0 1
0 0 2
0 3 2
1 3 0
1 3 2
10 3
3 3 3
0 1 3
0 2 3
3 1 2
0 3 0
0 0 3
2 3 1
0 0 2
1 1 2
3 2 1
10 7
3 3 3
0 0 1
3 0 3
0 0 2
3 2 2
0 1 2
3 3 2
3 0 1
2 3 3
1 1 2
10 3
1 1 1
2 0 2
0 1 2
2 2 2
0 0 1
0 0 0
1 2 0
0 1 0
2 1 1
0 1 1
10 8
0 0 0
0 2 2
0 0 1
0 2 1
2 2 1
0 1 2
1 2 2
1 2 1
2 1 1
2 0 2
10 8
0 2 0
1 0 1
2 0 1
2 0 0
2 2 0
1 2 2
1 1 1
0 1 1
2 0 2
2 2 2
10 9
0 0 1
2 2 0
3 0 3
3 0 1
1 1 3
1 0 2
0 2 0
3 3 1
3 2 3
3 3 3
10 7
1 2 2
0 1 3
3 2 0
3 0 2
3 1 1
2 1 1
1 0 0
1 2 0
0 3 2
3 0 1
10 5
0 1 2
2 1 0
2 1 2
2 2 2
2 0 0
0 0 1
1 0 2
1 0 1
1 2 1
1 0 0
10 2
0 0 1
0 1 2
1 0 0
2 0 0
2 2 1
0 2 0
0 0 2
1 2 2
0 1 0
2 1 2
10 7
0 0 2
3 3 0
0 2 0
1 0 3
0 1 1
0 1 3
1 1 3
1 2 0
3 1 1
2 2 1
10 7
0 0 2
0 1 0
2 2 3
0 2 1
3 1 2
2 1 3
3 2 1
2 0 2
2 3 1
2 3 3
10 7
2 2 1
2 2 0
1 1 0
2 1 1
1 2 0
2 2 2
0 2 0
2 0 2
0 2 1
2 0 1
10 5
2 1 2
2 1 0
0 1 2
2 2 2
2 2 1
1 0 1
0 1 1
2 1 1
1 2 1
1 1 1
10 6
0 1 2
0 1 1
0 2 2
2 1 2
2 0 2
1 0 0
1 0 2
0 0 2
2 2 0
2 0 0
10 3
0 2 2
1 2 2
2 0 2
2 0 1
0 1 1
0 0 2
0 0 1
0 1 0
0 1 2
1 1 2
10 5
1 2 2
2 1 0
0 1 0
1 0 0
1 1 0
2 2 2
0 0 0
0 0 2
2 2 0
2 1 1
10 6
2 2 0
0 1 0
0 2 0
2 1 2
2 2 2
1 1 1
0 2 1
0 1 1
1 2 1
0 1 2
10 3
1 0 0
2 0 2
0 1 2
0 2 0
1 1 2
2 1 0
0 1 1
1 0 1
1 1 1
2 0 1
10 6
3 2 0
3 1 2
2 3 2
1 3 3
0 1 2
1 0 1
2 2 2
3 2 3
0 2 0
0 2 3
10 8
0 1 1
1 1 1
2 0 0
1 2 2
0 0 2
0 2 2
0 0 0
0 1 2
2 1 0
1 2 0
10 7
0 0 1
0 1 0
1 2 2
1 0 2
2 1 2
2 0 2
0 2 2
1 1 1
2 0 1
1 0 0
10 8
1 2 2
2 0 1
0 1 2
1 2 0
1 1 0
0 0 2
0 0 0
2 2 0
2 0 0
2 2 1
10 5
0 1 2
1 2 2
2 1 2
1 1 1
1 1 0
2 0 1
2 0 0
0 1 1
0 0 2
2 2 0
10 3
3 3 2
0 0 1
3 0 1
2 1 1
0 3 1
3 0 0
3 3 1
2 1 0
1 2 0
1 2 3
10 7
2 1 3
1 2 0
1 3 0
3 0 0
1 1 2
1 2 1
3 0 2
2 3 1
0 2 3
0 0 0
10 4
3 0 3
0 2 1
3 0 1
2 3 2
0 3 2
1 3 0
0 1 3
3 3 1
2 2 1
0 1 1
10 8
1 0 2
1 1 1
2 1 0
0 1 0
1 0 0
2 1 2
2 0 2
2 1 1
2 2 2
0 0 2
10 8
0 0 1
1 1 1
2 1 2
1 0 1
1 1 2
2 2 1
1 2 0
2 0 1
2 2 2
0 2 2
10 8
3 2 1
0 0 2
1 3 1
1 3 3
1 1 3
1 3 0
1 2 2
0 3 1
0 0 0
2 1 3
10 4
1 2 2
2 2 1
2 2 0
2 1 2
2 0 1
0 2 0
1 1 2
1 2 0
1 0 1
1 0 2
10 7
0 2 0
2 0 1
2 1 0
1 0 1
1 2 1
0 0 1
2 0 0
1 1 2
1 0 2
0 0 0
10 4
3 0 0
0 0 1
1 3 0
3 0 3
0 1 3
3 2 3
3 2 2
0 1 0
0 3 1
0 0 2
10 5
3 0 1
0 3 0
1 1 2
1 3 3
2 0 2
3 1 1
3 3 0
2 2 2
3 1 0
0 0 2
10 5
1 2 1
0 0 3
3 1 0
2 0 0
3 2 0
3 2 3
0 1 1
3 2 1
3 0 2
1 2 0
10 2
0 1 1
3 3 0
0 0 2
2 1 1
1 2 2
2 2 3
3 0 0
2 0 2
1 2 1
3 2 1
10 5
2 0 2
0 1 2
1 1 0
0 2 2
1 2 0
0 0 1
2 1 1
1 1 2
2 1 0
0 1 1
10 2
2 2 2
1 2 2
1 0 2
2 1 0
1 1 2
0 2 2
2 0 2
0 2 0
2 0 1
2 2 0
10 4
1 2 2
0 1 1
1 1 1
2 0 0
1 0 2
0 0 1
2 0 1
2 0 2
1 0 1
0 2 1
10 3
3 2 2
1 0 0
2 3 2
0 0 1
2 1 0
1 2 3
0 3 2
2 2 3
1 3 3
3 0 2
10 2
1 0 0
1 2 0
0 2 1
0 0 2
2 1 1
1 0 2
1 1 0
2 1 2
2 2 1
1 0 1
10 9
1 0 3
3 2 2
2 2 1
3 1 1
2 0 3
2 0 0
1 1 2
2 1 1
3 3 2
2 1 3
10 4
0 0 1
1 1 2
1 0 0
2 2 1
2 0 2
1 2 0
2 0 0
1 1 0
0 2 1
0 1 0
10 4
0 1 0
2 1 1
2 2 1
0 0 1
0 2 1
2 2 2
1 1 1
0 1 1
1 1 0
1 1 2
10 6
2 1 2
0 0 1
0 0 2
1 1 0
2 2 0
0 1 2
0 2 1
2 1 1
1 1 2
2 1 0
10 4
2 1 1
1 2 0
1 3 1
2 2 2
3 2 1
3 3 1
1 1 0
1 0 1
3 3 2
0 0 1
10 4
0 2 2
3 2 3
3 0 3
0 3 1
3 3 1
0 2 1
1 3 3
2 0 1
0 0 1
0 0 0
10 5
3 3 3
1 3 0
2 3 3
1 2 2
2 2 1
2 3 0
0 0 1
2 0 2
0 2 3
0 0 0
10 4
3 0 2
1 1 2
3 3 2
3 3 1
0 3 1
0 3 3
0 1 3
1 1 0
2 3 0
2 0 3
10 9
1 1 0
1 0 2
1 2 0
0 1 2
1 1 2
2 2 0
0 0 1
0 0 0
2 1 2
0 2 1
10 7
0 2 0
1 0 1
2 0 1
2 1 1
2 0 0
0 1 2
2 0 2
0 2 1
0 1 1
2 1 2
10 3
2 2 2
2 2 1
2 1 2
1 2 2
2 0 0
2 0 1
1 0 0
0 1 2
1 2 1
2 1 0
10 5
2 1 1
2 0 2
2 1 0
1 0 0
2 2 0
0 0 0
2 0 1
1 1 0
1 2 2
1 1 2
10 2
2 1 2
1 2 2
2 0 1
0 2 0
0 2 2
2 0 0
0 1 1
2 0 2
1 1 1
0 2 1
10 6
2 0 3
0 2 0
0 0 2
3 1 2
2 1 2
1 2 0
2 1 1
2 2 3
3 2 2
2 3 3
10 7
1 0 0
3 1 2
2 2 0
2 3 0
2 1 0
3 0 1
2 0 1
1 2 2
0 0 3
0 2 3
10 8
1 2 2
1 2 0
0 1 1
2 1 1
0 0 2
2 2 1
0 0 1
2 2 2
1 1 1
1 0 2
10 9
2 2 2
0 0 2
2 2 0
0 0 0
2 2 1
1 1 1
2 1 2
1 1 2
1 0 1
2 0 1
10 4
1 1 0
2 1 0
3 2 0
0 3 2
0 2 0
0 3 0
3 0 1
3 2 1
2 3 3
3 3 1
10 5
1 0 3
0 1 1
3 0 1
1 3 1
2 1 1
1 1 3
2 3 3
3 1 2
1 1 1
1 3 3
10 2
3 2 3
2 0 0
1 0 3
1 2 0
3 3 3
3 3 1
0 3 1
3 2 1
0 0 0
2 0 3
10 2
2 3 3
1 3 1
3 3 1
3 1 3
0 0 3
2 2 0
3 2 1
0 2 1
2 2 3
1 3 0
10 3
2 0 2
2 2 0
0 2 1
0 1 1
0 2 0
2 0 0
2 0 1
1 1 1
2 1 0
2 2 1
10 6
0 0 0
2 3 0
0 1 1
3 0 2
2 0 3
2 2 1
0 0 3
1 0 0
2 2 3
1 3 0
10 6
1 1 0
2 2 1
2 3 0
0 0 0
2 2 0
2 1 3
1 1 3
3 2 1
1 3 1
1 0 1
10 2
0 3 2
3 1 2
2 3 2
2 0 0
1 3 1
1 1 0
2 3 1
3 3 0
3 3 1
0 0 0
10 8
0 1 2
0 0 1
0 1 1
1 2 2
2 0 1
0 0 2
1 1 0
1 2 1
2 0 0
0 2 0
10 4
2 0 1
0 1 1
1 1 0
1 0 2
1 0 0
0 1 2
1 1 1
0 1 0
0 0 1
2 1 2
10 4
0 2 1
0 0 2
1 0 0
1 2 1
1 0 1
1 2 0
2 0 2
2 2 1
2 2 2
0 1 2
10 6
2 1 2
1 1 1
2 2 0
2 0 0
0 0 1
2 0 2
2 1 1
2 1 0
1 1 2
0 1 2
10 7
2 0 2
0 1 0
1 2 1
1 2 0
0 0 1
1 0 1
0 2 1
0 2 0
2 2 0
0 1 2
10 7
1 1 1
2 1 0
2 1 2
2 0 1
1 2 0
0 1 1
1 1 2
1 1 0
2 1 1
2 2 0
10 9
2 3 1
1 3 3
2 0 0
1 1 3
2 2 1
0 3 3
3 2 2
1 2 2
1 0 3
3 0 2
10 2
1 0 2
0 2 2
0 0 0
2 2 2
2 0 2
0 1 0
0 0 1
1 0 1
1 1 2
0 0 2
10 5
0 0 1
1 0 1
0 2 1
0 2 2
0 0 2
2 2 0
1 2 2
2 1 0
0 2 0
1 2 0
10 9
0 3 0
0 2 0
2 0 2
3 3 1
0 0 1
0 0 3
1 2 0
3 2 0
0 0 0
3 3 0
10 5
0 1 1
0 0 3
0 3 3
3 2 0
2 2 3
0 2 3
2 2 0
3 0 0
2 0 1
2 3 0
10 4
0 2 1
1 0 1
0 1 0
0 0 1
0 2 0
1 1 2
2 1 2
2 2 1
0 1 2
0 0 0
10 2
0 2 2
0 0 2
1 3 1
0 2 0
1 3 0
3 1 2
3 2 1
3 2 2
0 3 2
2 1 0
10 9
2 0 2
2 0 0
2 2 2
1 0 1
0 0 2
0 1 2
2 1 2
1 0 0
1 1 0
1 1 2
10 3
2 2 3
0 1 3
3 0 1
1 3 1
1 0 0
2 2 1
3 3 2
0 3 2
1 2 3
0 3 3
10 4
0 0 2
0 2 0
2 0 2
0 1 0
2 1 0
1 1 1
0 2 2
1 0 2
0 0 1
2 0 0
10 3
1 3 1
0 1 1
0 3 1
0 0 0
3 1 1
3 1 3
3 0 0
2 0 3
3 1 0
2 2 2
10 9
1 3 2
0 2 1
2 2 0
0 1 1
2 1 2
1 3 1
1 0 3
2 1 1
1 1 1
1 2 3
10 5
0 2 0
3 0 3
3 0 0
0 2 3
0 1 0
2 2 0
2 1 0
0 2 1
3 2 1
0 3 3
10 9
2 1 1
3 2 1
0 2 2
3 1 2
1 0 2
0 2 3
0 1 1
0 0 2
3 3 0
0 2 1
10 8
2 0 1
0 1 2
0 1 0
1 1 2
0 2 2
0 0 0
1 2 2
1 0 2
2 0 2
2 2 0
10 8
1 3 0
3 1 0
1 0 0
3 3 1
1 1 2
1 2 1
0 0 2
3 2 2
0 2 3
0 0 1
10 2
0 1 0
2 2 2
2 1 0
2 0 1
1 2 2
0 0 2
1 2 0
1 1 0
0 0 1
1 0 0
10 8
3 3 3
0 2 1
2 2 0
1 2 0
2 3 2
2 2 2
3 3 1
1 2 1
0 3 3
1 0 0
10 9
2 0 0
0 3 2
2 3 3
0 2 3
0 1 0
3 2 0
1 2 3
0 0 3
2 1 2
0 3 0
10 7
0 0 2
3 2 1
2 1 1
0 3 0
1 3 1
3 0 1
3 3 1
1 3 2
1 1 1
2 2 3
10 4
0 3 1
0 3 3
3 3 1
3 1 3
1 0 1
0 1 1
0 2 1
3 3 3
3 2 2
0 1 2
10 2
0 1 2
2 1 2
1 0 1
1 0 2
2 2 0
2 1 0
0 0 2
1 1 0
2 0 1
1 1 2
10 2
2 0 2
2 0 3
3 1 1
0 0 1
2 3 2
0 3 0
2 1 3
0 0 2
3 2 2
0 0 0
10 9
2 2 1
2 0 1
1 0 0
1 2 0
1 2 1
2 1 2
0 1 1
2 0 0
0 1 2
1 1 2
10 8
2 3 0
2 0 0
3 0 0
0 1 3
3 3 3
0 2 2
0 2 1
3 0 1
0 3 1
1 2 2
10 2
0 0 1
0 2 1
1 2 0
2 1 1
1 0 1
1 1 2
2 0 0
0 2 0
2 1 0
2 2 2
10 6
0 0 0
2 2 2
2 0 1
2 1 0
2 1 2
1 2 1
1 1 0
0 1 0
2 0 2
0 2 2
10 6
0 1 0
0 3 1
3 1 2
1 2 1
2 1 2
3 2 3
3 3 0
1 3 0
2 2 3
1 1 2
10 2
2 0 0
0 2 1
0 1 0
1 0 2
0 1 2
1 2 2
2 1 1
2 1 0
1 1 1
1 1 2
10 9
2 1 1
1 0 2
0 0 1
2 1 0
1 1 0
1 2 2
2 1 2
2 0 2
0 1 0
0 0 0
10 5
0 2 3
0 1 3
2 0 0
1 1 0
1 3 0
3 3 3
0 3 0
0 1 2
0 0 0
2 1 3
10 7
3 1 2
0 1 3
1 3 2
1 1 0
0 3 1
3 3 0
2 2 0
0 3 3
0 0 0
2 3 1
10 2
1 1 1
2 0 0
2 1 1
0 1 1
0 2 1
1 0 0
0 0 1
0 2 0
1 2 2
0 2 2
10 9
1 1 2
2 1 1
1 3 1
1 3 2
0 3 1
2 2 2
1 0 2
2 2 0
2 3 2
2 2 3
10 5
2 1 2
1 0 1
1 2 0
0 0 1
1 1 1
1 0 0
0 2 1
0 1 0
1 0 2
0 1 2
10 6
0 1 3
0 3 0
0 3 1
2 3 2
3 2 0
0 1 0
3 2 3
2 0 0
1 0 0
3 2 2
10 8
0 2 2
0 1 0
0 0 2
1 0 1
2 0 1
1 0 0
1 0 2
0 1 2
0 0 1
2 1 2
10 7
1 0 0
2 1 0
1 2 1
2 2 2
2 1 1
1 0 1
0 0 1
2 2 0
0 2 0
0 0 0
10 2
3 1 1
1 0 2
2 3 2
2 1 2
0 2 0
3 3 2
1 3 3
0 3 1
1 0 3
1 3 2
10 7
1 2 2
0 3 2
2 1 1
3 2 2
3 0 0
0 1 1
3 3 2
1 1 2
3 3 3
1 3 1
10 2
2 0 3
1 0 2
3 3 1
2 1 3
1 3 2
2 1 1
1 1 1
2 3 2
3 1 1
1 2 1
10 2
1 2 3
1 1 3
0 0 3
0 3 0
0 2 3
1 3 3
0 3 2
1 2 0
0 1 1
2 0 3
10 5
2 1 2
1 0 0
0 1 2
1 2 2
2 1 0
2 2 1
0 1 1
2 0 1
1 1 2
2 2 0
10 9
0 2 1
3 0 0
2 1 2
2 0 3
1 0 3
1 1 3
1 2 2
3 2 2
0 2 3
2 0 0
10 5
0 2 0
2 1 2
2 2 1
0 0 1
1 0 1
0 2 2
0 1 0
2 1 0
1 2 2
0 2 1
10 5
0 1 1
1 0 1
2 0 1
2 0 2
0 0 1
2 2 0
1 1 2
0 2 0
1 2 2
1 1 1
10 3
0 2 3
0 1 0
0 2 0
1 3 3
0 2 1
3 1 3
2 1 3
1 1 0
3 1 2
1 3 1
10 4
3 1 3
2 1 3
2 0 1
2 3 3
3 0 2
2 1 1
1 1 3
0 2 2
2 0 3
1 0 3
10 8
2 1 2
0 2 1
1 2 0
2 2 2
1 1 2
0 0 0
1 0 2
1 2 2
2 1 1
2 0 1
10 6
0 0 2
1 2 1
2 2 1
2 2 0
2 0 2
2 2 2
0 1 2
1 1 0
0 1 1
1 2 2
10 5
1 1 3
3 2 3
2 2 1
3 2 2
0 0 1
2 2 3
1 0 1
3 0 2
2 3 0
0 3 3
10 7
0 1 0
1 0 2
1 1 0
1 2 1
0 0 1
2 2 2
2 1 2
0 0 0
2 2 0
2 2 1
10 7
1 2 0
1 2 2
1 1 1
2 1 2
2 0 1
0 1 2
0 2 1
2 2 2
2 0 0
0 2 0
10 6
0 1 0
0 3 0
0 0 2
2 1 0
1 0 0
1 1 2
0 3 2
2 3 0
3 0 2
3 2 3
10 5
1 2 3
3 2 0
3 2 3
1 3 3
1 2 1
1 0 3
2 1 3
0 0 0
1 2 0
1 0 2
10 2
2 0 0
0 2 1
1 2 0
1 0 1
2 2 1
1 2 1
0 0 0
0 1 2
0 1 1
1 1 1
10 9
1 1 1
2 0 2
2 2 0
0 0 2
2 0 0
0 0 1
0 2 1
2 0 1
0 1 0
2 2 2
10 3
2 0 3
0 0 1
2 0 1
1 0 0
1 2 1
3 0 3
2 0 0
3 1 3
3 2 1
3 0 2
10 8
3 0 1
2 2 2
2 1 2
0 0 1
3 1 2
0 2 3
2 2 1
2 3 3
2 0 1
3 0 2
10 3
0 1 2
2 1 2
1 2 1
2 2 0
1 1 1
2 2 2
2 1 0
0 0 1
2 0 0
1 0 0
10 8
0 0 0
0 0 1
3 2 2
2 2 0
1 3 0
2 0 1
2 3 2
0 2 3
0 1 3
0 3 2
10 5
0 0 1
3 0 1
1 0 1
1 1 3
3 2 3
1 2 3
2 2 0
0 2 0
2 2 2
3 3 0
10 8
2 1 1
1 3 2
3 0 0
2 2 0
1 0 2
2 3 2
0 2 2
2 0 2
0 2 0
0 1 2
10 4
1 3 1
3 0 3
2 3 1
2 3 0
2 1 3
0 0 1
3 2 2
2 2 1
1 1 0
3 1 2
10 6
2 0 2
0 2 1
1 2 2
0 0 2
3 2 1
1 2 1
2 3 2
1 1 2
3 0 0
3 1 0
10 2
0 0 3
3 0 1
2 0 0
2 2 0
2 2 2
0 3 1
3 3 0
0 1 1
2 0 3
2 2 3
10 7
2 3 1
1 2 2
3 3 2
3 2 2
2 3 2
2 1 1
1 1 3
0 0 3
3 1 3
1 0 0
10 4
2 2 0
1 0 1
0 1 2
1 0 0
2 0 1
0 0 1
1 2 2
0 1 1
2 2 2
1 2 0
10 8
1 0 0
0 3 2
2 1 1
1 3 0
1 1 1
1 3 1
2 2 3
0 3 1
1 3 2
3 3 2
10 8
1 1 1
1 2 1
0 1 2
2 2 1
1 1 2
1 1 0
0 1 1
0 2 2
1 0 1
1 0 2
10 4
2 0 2
0 1 1
2 2 1
2 1 2
2 0 1
1 1 1
1 2 0
2 2 0
1 1 2
1 0 1
10 4
0 2 1
0 0 0
2 0 0
3 2 2
1 0 2
2 3 2
0 1 2
1 1 0
1 1 1
2 3 1
10 7
1 2 1
2 2 1
1 1 0
2 1 0
1 2 2
2 0 1
0 0 1
1 0 1
2 0 0
0 2 2
10 5
0 2 2
2 0 0
2 2 1
0 1 1
2 1 1
1 1 2
1 0 2
0 2 1
0 1 2
1 1 0
10 3
0 1 3
3 0 0
2 2 0
3 2 1
1 0 2
2 0 2
1 1 0
2 1 0
2 1 2
3 0 2
10 3
2 3 2
1 3 1
0 0 2
3 0 2
3 1 0
0 1 0
3 0 1
1 0 2
0 2 3
3 0 0
10 8
1 0 1
1 1 2
2 0 2
2 2 0
0 1 1
0 2 2
0 0 0
1 2 0
2 0 0
1 1 0
10 5
0 2 2
3 3 3
3 1 2
1 3 1
3 0 1
1 2 1
1 2 3
3 2 1
0 2 3
2 0 1
10 9
2 0 0
1 2 0
0 2 2
0 1 1
0 2 0
2 2 2
2 1 2
1 1 0
0 2 1
1 1 1
10 8
2 0 2
1 1 0
0 1 2
2 0 1
2 0 0
1 2 1
0 2 2
1 2 0
0 2 0
1 0 0
10 7
1 3 0
2 1 3
2 0 2
3 3 1
1 0 3
3 2 3
1 1 2
3 2 2
2 3 0
3 3 0
10 2
3 3 3
3 0 0
0 1 3
2 3 1
2 2 2
2 0 0
1 0 1
3 2 0
2 3 2
2 1 3
10 9
2 2 0
0 2 0
0 0 1
1 1 2
0 0 0
0 1 1
1 2 1
2 2 2
0 0 2
2 0 1
10 7
1 0 0
2 1 2
2 2 0
2 1 0
1 1 2
1 0 2
0 0 0
2 1 1
1 2 1
0 2 2
10 8
0 1 1
2 1 0
0 2 0
1 1 0
0 0 2
2 0 1
1 1 1
2 0 2
2 1 2
1 0 1
10 7
2 2 1
0 0 2
0 2 2
2 2 0
0 2 0
0 1 0
0 2 1
0 1 2
1 2 0
2 0 1
10 4
2 0 3
2 2 1
2 2 3
1 0 3
1 1 2
3 2 2
1 2 3
1 3 2
2 0 0
0 0 2
10 6
0 2 0
2 2 0
1 1 2
0 0 1
1 1 1
0 0 2
0 1 2
0 1 0
2 0 0
0 1 1
10 2
2 0 1
0 2 0
2 3 2
0 1 1
2 3 3
3 0 2
2 2 0
2 3 1
1 2 3
3 2 3
10 5
2 2 0
0 2 0
1 2 3
2 1 0
1 1 1
0 3 2
2 3 1
2 2 3
0 3 3
2 2 2
10 2
0 2 3
3 3 0
2 3 2
1 3 2
2 3 0
3 2 3
3 0 0
0 0 1
2 0 0
0 2 1
10 4
1 1 2
1 2 2
0 2 0
0 2 1
2 0 2
1 0 2
0 1 0
1 2 1
0 0 1
2 2 1
10 7
2 0 1
2 2 2
0 0 2
0 1 1
1 2 0
2 1 0
0 2 2
0 1 0
1 1 2
0 0 1
10 7
2 0 3
3 1 0
0 1 0
2 3 3
3 2 0
2 1 1
0 3 2
0 0 3
0 3 0
3 2 2
10 2
2 0 1
1 2 0
0 2 1
0 2 2
0 1 1
0 1 2
1 1 1
1 0 1
1 0 0
0 0 0
10 4
3 1 3
3 0 3
3 0 2
1 2 3
0 2 3
3 0 1
1 1 2
1 3 0
2 0 1
2 2 1
10 2
1 0 1
1 1 1
1 2 0
2 0 0
0 1 2
2 1 0
0 0 2
2 0 1
2 2 0
1 0 2
10 7
1 2 2
2 0 0
0 0 2
2 0 2
0 2 1
0 2 2
1 1 1
0 0 1
2 2 0
2 2 2
10 3
1 2 1
1 3 3
2 1 2
2 2 0
3 1 2
0 0 2
3 2 1
1 1 0
3 2 3
0 3 1
10 9
3 2 2
0 3 1
0 2 1
0 3 3
2 3 2
3 3 3
3 2 3
2 2 3
0 2 3
2 1 3
10 8
0 0 0
1 3 0
3 2 1
2 0 2
2 0 1
2 1 3
3 0 0
3 1 1
2 1 2
2 2 1
10 8
1 1 2
1 1 0
1 0 0
0 1 0
1 0 1
2 2 1
0 0 2
0 1 1
0 2 1
1 0 2
10 7
1 1 1
1 2 0
0 2 1
0 2 2
1 1 2
2 1 2
1 0 0
2 0 1
0 2 0
1 1 0
10 6
2 0 3
0 1 3
1 3 1
0 0 1
1 3 2
0 0 2
0 3 2
2 1 0
0 0 0
2 3 0
10 8
2 2 0
2 3 1
3 1 1
2 2 1
1 3 2
3 3 0
3 2 2
1 1 1
1 2 0
2 1 2
10 3
0 3 3
2 0 3
0 2 3
1 2 0
0 1 2
0 2 0
2 2 1
1 1 2
3 0 2
1 2 3
10 9
2 0 2
1 2 2
1 0 2
0 0 0
2 1 0
1 2 0
0 1 0
2 2 1
0 2 0
1 1 0
10 9
0 1 0
2 3 0
1 0 3
1 0 0
1 1 2
0 3 1
0 3 0
2 1 2
0 0 2
0 2 2
10 5
2 0 1
2 3 2
2 2 1
0 3 2
3 0 2
0 0 1
0 2 2
1 3 3
2 1 3
1 1 1
10 6
2 1 1
1 0 1
1 2 0
1 0 0
1 1 0
2 2 1
2 1 2
1 1 1
0 2 0
0 0 0
10 5
0 2 2
1 2 2
0 1 1
2 2 1
1 0 0
1 1 0
0 1 0
2 2 2
0 0 1
2 0 2
10 3
0 1 0
3 3 0
1 2 2
1 2 1
2 1 3
0 0 1
3 2 2
3 2 3
1 3 0
3 1 1
10 6
2 0 2
0 3 0
2 2 0
2 3 0
0 2 0
3 0 1
3 1 1
1 3 2
0 1 3
3 3 2
10 3
1 2 2
3 3 2
2 0 1
3 0 2
3 1 0
1 1 3
1 2 0
2 1 1
3 2 2
2 0 0
10 5
2 0 1
2 3 2
1 2 1
2 1 0
2 2 1
1 1 2
2 3 0
3 2 0
0 0 3
2 1 3
10 5
2 2 2
1 2 0
2 2 1
0 2 2
1 0 0
1 2 1
2 0 1
2 1 0
0 0 1
0 2 0
10 8
2 0 0
1 2 1
1 1 0
0 1 2
2 1 2
0 0 1
0 0 0
1 1 2
1 0 0
2 0 1
10 3
3 2 1
1 3 2
1 1 1
2 2 1
0 2 0
1 1 3
1 0 1
1 3 1
0 2 2
1 0 3
10 3
2 0 0
3 1 3
1 0 2
0 0 2
1 3 3
2 1 3
2 2 3
0 1 1
1 1 3
0 2 1
10 6
1 3 0
2 1 2
1 0 2
0 3 0
1 2 2
0 1 1
2 2 2
1 3 2
2 0 3
0 2 1
10 6
1 1 2
0 1 2
1 3 0
2 0 1
3 3 3
3 1 2
0 1 1
1 3 3
0 2 1
0 2 2
10 8
2 2 2
1 1 1
2 1 0
0 0 0
1 0 0
1 1 0
2 2 0
0 1 1
0 2 2
2 0 1
10 3
0 1 0
2 0 2
2 0 0
0 2 0
1 1 0
0 2 1
1 2 2
1 1 1
0 1 2
2 1 2
10 8
3 3 2
3 1 0
0 3 2
1 1 2
1 2 0
1 3 3
2 1 3
0 1 2
1 2 1
1 2 2
10 2
1 1 0
2 2 2
1 0 1
1 0 2
0 0 1
1 1 1
0 2 0
1 0 0
1 2 0
2 0 1
10 2
0 1 0
2 0 0
1 2 0
0 1 2
1 1 0
1 0 2
2 1 0
2 0 1
1 0 0
0 1 1
10 9
2 0 1
1 2 2
0 0 1
0 0 2
1 2 0
0 2 0
0 0 0
0 2 1
2 0 2
2 1 1
10 4
1 2 0
3 0 1
2 3 0
1 0 1
2 1 0
2 0 1
3 1 2
0 2 2
3 3 3
3 3 2
10 2
1 0 0
0 3 2
2 0 3
2 1 0
3 3 1
2 0 1
1 1 0
3 0 3
3 2 3
0 0 1
10 6
3 2 2
1 0 1
3 0 2
2 1 3
1 2 3
3 2 0
2 2 1
1 1 2
2 3 1
3 1 0
10 5
1 0 2
1 0 1
1 0 0
0 2 1
1 2 2
0 0 0
0 1 0
0 2 0
1 1 2
2 0 0
10 9
0 2 1
2 0 1
1 1 2
0 2 0
1 2 0
2 0 2
0 0 0
1 2 2
1 0 0
0 0 2
10 5
0 2 2
1 3 0
3 1 0
1 1 0
1 1 2
3 0 0
2 2 0
1 3 3
2 0 3
3 3 3
10 5
2 2 2
0 2 0
0 0 2
2 0 1
1 1 0
2 1 1
0 2 2
1 1 1
0 1 2
0 0 1
10 9
3 3 2
2 1 1
3 0 0
3 0 1
2 1 2
1 1 1
1 0 3
0 3 3
0 2 3
1 3 1
10 7
3 2 1
2 2 3
0 0 3
2 1 1
0 2 2
2 2 0
3 0 1
1 3 2
1 3 3
2 2 2
10 7
1 1 1
0 2 1
2 0 2
2 1 2
0 0 1
1 0 2
0 2 0
0 1 1
2 1 0
1 2 2
10 8
0 1 1
3 2 1
0 1 0
2 1 1
0 2 3
3 1 1
3 3 3
1 2 3
3 0 1
2 3 2
10 4
2 0 1
0 3 3
3 1 1
1 3 3
1 0 3
0 1 0
1 3 2
2 3 1
1 0 2
2 1 0
10 3
1 0 0
1 0 3
0 3 3
0 0 3
2 1 3
3 2 3
3 3 3
3 0 3
3 3 2
0 0 2
10 7
1 0 2
0 3 1
1 0 3
3 1 2
1 1 1
0 0 3
2 3 1
1 0 1
3 1 3
0 1 1
10 3
3 0 2
0 3 1
3 1 3
2 2 2
3 1 2
1 2 1
1 3 0
0 0 3
2 2 3
3 1 1
10 2
1 2 1
0 0 1
2 1 1
0 1 2
1 1 1
0 2 0
1 0 0
2 0 1
2 2 2
1 1 2
10 4
2 3 1
0 2 3
1 0 2
2 2 0
1 1 2
3 3 1
2 3 2
3 1 2
0 2 2
3 1 1
10 7
2 0 0
0 0 1
0 0 0
0 1 1
2 0 2
0 1 2
1 1 2
0 1 0
1 0 0
1 2 2
10 9
3 2 1
2 2 1
2 3 1
2 1 3
2 0 1
3 3 2
2 0 3
0 3 0
3 1 2
0 0 1
10 6
0 0 2
2 1 2
0 1 2
2 2 1
1 1 0
0 0 1
1 0 0
2 2 2
0 1 1
2 1 1
10 2
0 0 2
0 0 1
0 1 0
0 0 0
2 2 1
2 2 0
2 2 2
0 2 0
1 1 0
1 0 1
10 7
2 2 1
2 1 2
1 0 2
2 0 2
1 1 0
0 1 2
2 2 2
0 0 2
1 2 1
0 2 1
10 4
2 1 0
2 0 1
0 1 0
1 2 2
1 1 0
1 1 1
1 2 1
2 2 0
2 2 2
2 1 2
10 3
1 2 2
3 0 1
3 1 1
1 0 0
3 2 1
1 3 2
2 1 0
0 0 3
0 2 1
3 3 3
10 8
1 0 0
1 1 2
0 2 1
0 1 2
2 1 0
0 0 1
1 2 0
2 1 2
2 0 1
1 0 1
10 4
1 1 0
2 2 2
0 0 0
0 0 2
0 2 0
2 2 1
1 2 0
1 1 1
1 0 0
2 0 2
10 3
2 3 0
2 0 2
3 2 2
1 3 2
3 0 0
2 3 1
1 1 3
0 1 0
0 2 2
2 1 0
10 4
0 0 1
1 2 1
0 1 2
2 0 2
2 1 0
1 1 2
2 0 1
1 0 0
0 0 0
2 1 2
10 5
3 3 1
3 3 2
0 2 0
2 0 1
2 3 0
3 3 0
1 3 0
1 1 0
3 2 0
3 1 0
10 5
1 0 2
1 3 3
3 3 1
0 0 1
1 1 3
3 3 0
1 0 3
0 2 2
2 3 2
3 1 2
10 2
2 0 1
0 1 0
0 2 1
0 0 1
1 0 1
2 1 1
2 0 2
0 0 0
1 0 0
2 1 0
10 9
2 1 2
0 2 3
2 1 0
3 1 0
0 3 1
2 3 1
1 1 1
3 0 1
3 3 2
3 2 2
10 5
2 3 0
3 1 2
2 3 3
0 2 0
0 2 3
1 0 2
0 0 2
2 1 0
0 2 1
3 3 0
10 7
1 2 2
0 1 0
1 0 1
2 2 2
0 1 2
2 0 1
0 0 1
1 2 0
1 1 1
1 0 2
10 2
2 1 2
2 2 1
1 2 0
0 1 1
2 0 1
2 1 0
0 2 0
0 0 1
1 1 1
1 1 2
10 8
3 3 1
2 0 0
1 3 3
2 2 0
2 2 2
3 1 3
1 3 2
3 0 0
0 3 2
2 1 0
10 4
1 1 1
2 0 2
1 0 2
1 2 2
2 2 2
1 0 1
1 2 1
1 0 0
2 2 1
1 1 2
10 3
0 0 1
1 0 1
2 2 1
0 1 0
0 3 3
0 3 2
2 0 3
3 1 1
3 1 3
0 3 1
10 9
2 2 0
2 0 2
0 2 2
0 2 1
2 2 2
2 1 0
1 0 2
0 0 1
0 1 1
1 1 2
10 9
3 0 2
1 2 1
0 0 1
1 0 2
0 2 3
1 1 0
1 0 1
2 3 2
0 2 0
1 1 2
10 2
0 2 0
2 0 0
1 2 1
1 2 2
0 0 2
2 2 1
0 1 0
2 1 2
2 1 1
0 0 0
10 9
1 1 2
0 3 2
2 0 0
3 3 2
1 0 1
2 3 2
2 1 2
2 0 1
3 0 1
3 3 3
10 9
2 0 2
0 2 0
0 1 1
1 0 0
2 0 0
0 1 2
1 1 1
2 2 2
1 1 0
1 1 2
10 4
0 1 2
1 1 1
2 2 0
1 2 1
1 2 2
1 1 0
0 1 1
2 0 1
2 0 2
0 1 0
10 9
2 1 2
3 1 1
2 2 2
1 1 1
1 3 0
1 2 0
1 1 0
1 2 3
0 3 3
1 3 2
10 8
2 1 3
2 1 2
0 2 3
2 1 0
1 0 3
2 0 1
3 3 2
3 0 2
2 0 0
0 0 0
10 3
1 1 3
1 3 2
1 0 0
2 1 0
3 3 3
2 0 3
0 1 2
0 3 0
3 3 1
1 0 2
10 2
1 1 1
0 0 2
2 0 0
1 0 0
0 1 1
0 1 0
2 2 0
2 0 1
2 0 2
2 1 1
10 9
2 0 2
0 1 1
2 2 1
1 2 2
2 1 0
1 0 2
2 1 1
2 2 2
0 0 2
0 0 0
10 3
3 0 3
1 0 2
1 0 0
0 0 0
0 1 2
1 0 3
1 3 0
2 2 2
0 1 3
0 2 0
10 9
1 1 0
2 2 0
1 0 1
1 0 0
2 1 0
1 2 1
2 1 1
0 1 2
1 2 0
2 0 2
10 3
3 2 0
1 3 1
3 1 3
2 2 1
2 0 1
3 1 0
3 3 0
3 2 3
3 3 2
2 2 3
10 9
1 2 1
0 0 1
0 1 2
2 0 2
1 1 1
2 1 2
2 2 2
2 2 0
2 1 1
1 1 2
10 7
0 3 0
0 0 0
1 0 2
3 3 1
3 1 0
0 2 2
1 0 3
1 0 0
2 3 2
2 2 2
10 6
3 2 0
0 0 0
1 1 1
1 0 1
0 2 3
1 0 0
1 0 3
2 0 0
3 1 0
2 2 2
10 7
0 0 2
3 0 2
3 0 0
1 3 3
2 0 0
0 3 2
1 1 3
2 1 2
1 0 0
2 2 1
10 8
2 2 1
0 1 2
1 0 2
0 2 0
1 0 1
2 2 0
0 2 1
2 2 2
1 2 0
2 1 1
10 6
3 1 3
2 0 0
2 1 2
2 2 2
0 2 1
2 2 3
0 3 0
0 1 3
3 2 2
1 2 0
10 3
2 1 3
1 3 2
2 3 0
1 3 3
1 2 2
3 2 0
2 0 2
3 0 0
3 0 3
3 3 2
10 8
3 0 3
3 2 2
3 3 0
1 3 3
0 3 2
3 0 0
0 2 1
0 3 3
1 2 2
3 2 1
10 2
0 3 2
1 3 3
1 2 2
3 1 2
3 3 2
0 2 2
3 1 1
2 2 1
2 1 0
1 3 1
10 7
0 2 1
0 3 3
1 0 0
3 2 1
2 3 3
2 2 2
2 2 0
3 0 0
2 0 0
0 1 1
10 4
0 0 0
1 1 0
3 1 2
0 2 0
2 0 2
1 3 3
1 3 0
0 3 1
3 0 2
0 0 2
10 3
0 2 1
1 2 0
2 2 0
2 2 1
1 0 0
1 1 0
2 0 2
0 1 1
2 1 1
0 1 0
10 2
2 0 0
0 0 1
1 2 0
0 2 1
1 2 1
0 2 2
0 1 2
1 1 0
1 2 2
1 0 2
10 5
2 2 3
0 3 0
3 0 3
3 0 2
0 2 2
0 2 0
2 3 0
1 3 2
2 0 2
1 1 0
10 9
2 0 1
2 0 2
1 2 1
2 0 0
0 1 1
1 1 0
0 2 2
1 2 2
1 1 1
0 1 0
10 2
2 1 3
3 2 1
2 3 0
0 0 3
3 0 2
3 0 1
2 0 1
0 3 3
1 0 2
1 1 3
10 3
1 0 3
3 3 2
3 0 1
2 0 3
2 0 1
1 3 2
0 3 3
1 1 3
1 0 0
0 2 3
10 4
0 1 0
1 1 1
2 0 0
0 2 2
1 0 0
1 1 0
0 2 0
2 2 2
1 2 0
1 2 1
10 3
2 0 1
1 2 0
2 2 1
0 0 1
2 2 0
1 1 1
1 2 2
2 1 1
0 1 2
1 0 2
10 7
2 1 0
0 1 0
0 0 1
1 2 1
0 0 2
1 2 2
0 2 1
1 0 0
2 2 0
2 1 1
10 9
2 2 1
0 1 2
0 0 1
0 1 0
2 0 0
1 0 0
2 0 1
2 1 0
1 0 2
2 1 2
10 7
3 3 0
2 2 2
0 3 3
3 0 0
3 1 0
3 2 1
0 2 3
1 3 1
3 3 1
0 3 1
10 4
1 3 3
0 2 1
2 2 1
3 0 0
0 0 1
2 0 2
2 0 0
0 2 2
2 1 0
1 0 1
10 5
1 1 2
0 3 1
2 0 1
3 0 3
0 0 3
2 3 2
1 1 3
2 0 0
0 1 1
2 1 2
10 5
0 2 0
0 1 2
2 2 2
2 1 0
2 0 1
0 2 1
2 2 1
0 1 0
0 2 2
1 0 0
10 9
3 0 3
0 3 3
2 2 0
1 0 3
0 1 0
2 0 1
1 0 2
1 1 3
0 2 1
3 3 3
10 7
1 0 1
2 0 0
2 2 0
0 2 1
2 1 0
1 1 2
2 0 1
0 1 1
0 0 0
2 1 1
10 3
2 2 0
1 0 2
0 1 2
1 0 1
0 0 0
0 0 1
0 1 1
2 2 1
1 1 0
1 1 2
10 4
0 2 0
1 0 3
3 1 0
2 2 3
2 1 1
1 0 1
1 0 0
3 1 3
3 2 0
2 0 2
10 3
1 0 1
2 1 2
2 2 2
0 1 1
0 1 2
2 2 1
2 0 1
1 0 0
0 0 2
1 0 2
10 4
0 0 0
0 1 2
2 2 0
3 1 2
1 2 0
2 0 3
2 0 0
0 3 2
1 1 2
3 3 3
10 7
2 3 2
3 1 0
2 2 2
3 1 1
3 2 2
0 3 3
2 0 0
0 0 2
1 3 2
2 3 0
10 6
0 0 2
0 1 0
1 0 1
1 1 0
2 1 2
0 2 2
0 2 0
2 0 2
1 2 0
0 0 1
10 9
0 1 0
0 0 0
1 1 0
0 2 1
2 1 2
1 1 2
1 0 1
2 0 1
2 0 0
2 2 0
10 6
2 1 1
1 0 1
0 1 0
0 2 2
1 1 0
1 0 2
2 0 1
0 2 0
2 1 2
2 2 0
10 2
0 2 2
3 1 3
2 1 2
0 3 2
1 2 2
1 1 2
2 0 3
0 0 1
0 0 2
3 3 0
10 4
3 3 2
2 2 2
0 0 0
3 2 1
1 2 2
0 0 2
2 1 0
3 1 3
3 2 0
0 1 3
10 4
0 0 1
1 1 2
2 0 1
2 0 2
2 2 0
0 2 2
0 0 2
1 0 1
0 1 0
1 2 1
10 2
3 1 2
1 3 3
0 1 2
2 3 1
0 3 2
1 3 0
3 3 0
3 2 1
0 0 1
2 1 1
10 5
1 0 0
2 1 0
2 0 1
0 1 2
1 1 1
0 1 1
1 0 2
2 0 0
2 2 2
1 2 0
10 8
0 2 1
1 0 2
0 2 0
2 0 0
1 1 2
1 1 1
1 0 0
0 0 1
1 2 2
2 0 1
10 5
2 0 0
0 2 0
1 0 0
1 1 2
2 0 1
2 1 1
2 1 2
1 0 2
0 0 1
0 1 0
10 9
3 1 3
1 0 2
3 3 2
2 0 1
1 0 1
2 0 2
0 1 0
2 0 3
0 0 2
2 3 3
10 7
2 3 2
2 3 3
2 1 1
0 0 2
2 0 1
3 3 0
0 2 1
1 0 0
3 0 1
2 3 1
10 5
0 0 1
0 2 0
1 2 0
0 0 2
2 2 2
2 0 0
0 2 1
0 1 0
1 0 0
1 1 1
10 4
1 2 0
1 2 1
1 1 0
0 0 3
1 1 2
0 2 0
1 0 0
2 1 1
0 3 3
3 3 0
10 7
1 0 0
0 2 2
2 2 0
0 3 0
3 1 0
2 3 0
0 3 1
0 3 3
1 3 1
2 3 1
10 9
0 2 2
1 0 1
1 2 2
0 2 1
0 0 0
1 1 2
1 2 0
2 2 1
2 1 0
0 2 0
10 8
3 1 2
0 0 3
2 0 0
0 1 1
0 0 2
2 2 0
2 1 1
1 1 0
1 0 0
2 3 3
10 5
0 1 2
1 2 1
1 0 1
1 1 1
1 0 0
1 1 2
0 2 1
2 1 0
2 1 2
1 2 2
10 3
0 1 1
0 0 2
1 2 3
0 0 3
2 3 2
0 2 2
3 3 0
3 0 2
3 1 0
0 2 1
10 9
1 2 0
0 1 2
1 2 1
2 2 0
2 0 1
2 1 1
2 0 0
0 0 2
2 2 1
1 1 1
10 5
0 2 0
2 1 1
1 0 1
0 1 0
0 0 0
1 1 1
2 0 2
2 0 1
2 1 0
2 2 0
10 6
1 2 1
1 1 0
0 2 2
2 0 0
0 1 1
0 2 1
0 0 0
0 2 0
2 2 2
0 1 2
10 5
1 0 1
2 0 0
1 1 3
0 0 0
0 0 1
0 2 2
2 2 2
1 3 3
2 1 2
3 2 0
10 3
2 0 1
0 2 2
2 0 0
2 2 0
0 1 2
2 1 1
2 0 2
1 1 1
1 0 1
0 0 0
10 8
0 2 0
1 0 2
1 0 0
0 1 1
0 0 2
1 2 0
1 1 2
2 0 2
2 2 0
2 0 1
10 8
1 0 1
2 2 1
1 1 1
2 2 0
1 0 2
0 1 1
1 2 1
0 1 2
0 1 0
1 1 2
10 7
2 1 0
0 2 0
1 0 2
1 2 0
1 2 1
0 1 1
1 1 2
2 1 2
2 2 0
2 0 1
10 3
1 2 0
0 2 2
2 2 0
0 0 1
1 1 0
0 2 0
0 1 1
0 1 2
2 0 0
2 2 1
10 2
2 2 1
0 1 1
2 1 1
0 0 2
1 2 0
0 2 2
2 2 2
0 0 1
2 0 2
2 1 0
10 6
0 2 2
2 0 2
1 0 1
0 2 0
1 0 0
1 0 2
0 1 0
2 2 0
0 1 2
1 2 2
10 4
2 0 1
0 2 1
0 1 0
2 1 2
1 0 2
2 1 1
1 1 2
0 1 2
0 0 2
1 0 0
10 4
2 2 0
1 0 0
2 0 2
1 2 2
2 0 1
1 0 2
0 2 0
1 1 0
1 1 2
2 2 2
10 8
2 1 2
0 0 1
2 2 0
1 0 0
0 0 2
1 2 0
0 1 0
1 0 2
2 1 1
1 0 1
10 6
1 0 1
3 3 0
2 3 3
1 1 2
2 1 2
0 2 3
1 3 0
2 0 2
1 2 2
0 1 3
10 9
1 2 0
0 1 2
2 2 1
1 0 1
2 0 1
0 0 1
2 0 2
0 2 2
1 0 0
2 2 2
10 9
1 0 0
2 3 2
3 1 2
1 0 2
2 1 0
1 1 0
2 1 1
0 3 3
3 2 1
0 3 1
10 9
3 2 0
0 2 0
2 2 1
3 0 3
2 2 2
2 3 1
0 2 3
3 0 2
2 1 2
3 0 0
10 2
0 3 2
1 3 1
0 1 2
2 0 2
1 1 1
1 0 2
1 3 3
3 3 0
2 2 0
2 0 3
10 5
0 1 0
2 0 1
0 0 2
2 2 1
2 0 2
1 1 0
1 2 1
1 0 0
1 0 2
2 1 1
10 3
0 2 0
2 1 1
1 1 0
2 0 0
0 1 2
0 2 1
1 1 2
2 0 1
1 2 1
2 2 0
10 4
3 1 0
0 3 1
2 2 2
1 0 3
0 3 2
2 0 0
3 1 1
0 2 3
2 2 0
3 2 0
10 9
2 2 3
2 0 2
3 0 2
0 1 1
3 2 3
2 3 1
0 3 0
1 2 0
3 0 3
2 0 3
10 6
1 2 2
1 1 1
1 1 2
2 1 2
2 0 1
0 2 2
2 2 1
2 1 0
0 0 2
2 1 1
10 4
1 2 2
2 0 2
1 0 1
2 1 0
1 2 1
0 0 2
0 0 1
1 0 2
2 0 1
2 1 2
10 2
3 2 1
3 3 1
3 1 3
2 3 0
0 2 1
2 0 2
3 0 3
0 0 0
1 2 1
2 0 3
10 5
2 1 0
0 0 2
3 2 3
2 2 2
1 1 0
3 2 0
2 1 3
0 3 1
1 0 1
1 3 0
10 3
2 0 0
3 1 1
2 3 3
0 2 1
3 0 1
0 0 3
3 3 3
1 2 1
3 0 2
3 1 0
10 8
0 0 0
2 0 0
2 1 0
1 0 0
1 0 2
1 1 0
0 2 0
1 0 1
2 2 0
0 0 2
10 3
0 2 1
1 1 2
2 2 2
0 0 2
0 2 0
0 0 0
0 1 0
2 1 2
0 0 1
2 2 0
10 8
0 3 0
2 2 1
1 3 3
1 3 2
3 3 0
0 2 0
0 2 3
2 0 0
0 0 3
2 3 2
10 6
1 1 2
3 1 3
1 0 3
3 1 2
2 0 1
1 0 1
2 3 1
3 0 1
3 2 0
2 0 2
10 2
1 2 1
0 0 0
2 1 0
2 2 2
0 0 2
0 1 2
2 2 0
1 0 2
0 1 0
1 1 1
10 8
0 0 3
3 1 1
3 3 2
0 1 1
3 0 2
0 2 2
1 2 3
2 0 0
3 2 2
1 3 2
10 4
1 1 3
3 3 1
2 2 3
0 3 1
1 0 0
1 0 3
2 1 0
1 0 1
1 3 1
2 2 2
10 9
2 1 0
1 2 2
1 1 0
1 2 1
1 1 2
2 1 2
1 0 0
0 0 2
0 2 0
2 0 2
10 8
2 2 1
2 1 2
1 0 2
0 0 2
0 0 1
0 0 0
1 0 0
2 0 2
1 0 1
1 2 0
10 2
0 1 2
0 0 0
2 2 0
0 2 1
2 2 1
0 2 0
2 0 0
2 2 2
1 1 0
1 0 0
10 6
1 2 3
3 3 1
0 3 0
3 1 0
1 2 0
2 0 2
0 3 1
1 0 0
0 0 3
1 3 2
10 5
2 0 2
2 2 2
2 1 1
1 1 0
2 0 1
1 1 2
0 1 1
2 0 0
1 0 2
1 1 1
10 7
2 2 2
3 0 2
1 2 1
2 1 1
1 2 2
0 3 0
2 0 0
3 1 3
0 0 0
2 2 3
10 7
1 0 3
3 0 1
1 2 2
1 3 2
0 2 3
3 1 3
0 0 0
2 2 0
1 1 2
3 2 2
10 5
2 0 3
0 1 3
3 1 0
0 1 0
1 2 3
2 2 3
2 3 3
1 2 1
1 0 1
3 1 2
10 7
3 3 2
0 3 1
3 2 3
3 1 1
0 2 1
0 0 2
0 1 0
1 1 1
0 1 2
3 0 1
10 3
2 2 2
0 2 0
0 1 1
2 2 1
2 1 1
0 0 2
1 0 0
0 2 2
2 0 0
2 0 2
10 2
0 1 3
3 1 1
3 3 1
2 3 2
2 2 2
1 2 1
0 1 1
2 1 0
0 3 2
3 2 2
10 9
0 2 2
2 1 0
3 0 3
0 0 0
2 2 2
0 2 3
1 1 1
3 3 0
0 1 3
1 1 3
10 8
0 0 0
3 1 3
3 2 0
3 3 1
2 0 1
1 1 2
1 0 1
1 0 3
1 3 0
3 0 0
10 6
2 2 1
1 0 0
2 0 3
2 0 2
3 2 2
3 1 3
3 3 3
2 1 2
2 0 1
2 2 0
10 8
0 2 2
2 2 2
1 0 2
1 1 1
0 1 2
2 0 2
1 0 1
1 1 2
0 2 0
2 1 2
10 3
2 0 1
0 1 2
1 2 0
0 0 2
2 0 0
2 0 2
1 1 0
0 0 0
2 2 0
2 1 0
10 4
1 2 0
2 0 3
0 0 0
2 3 3
1 3 1
2 1 2
2 0 0
3 2 2
0 2 0
3 2 3
10 7
2 3 1
0 2 3
3 2 1
2 3 3
1 2 2
2 2 2
2 0 2
1 3 2
2 2 1
1 0 3
10 7
2 2 2
1 3 2
0 3 0
3 0 0
3 3 3
1 2 0
0 3 2
2 1 0
3 3 0
0 2 2
10 3
0 1 2
3 2 3
3 2 0
2 2 3
0 1 1
3 0 1
0 3 3
3 2 1
2 0 0
1 3 1
10 8
0 2 1
1 0 0
1 0 1
2 0 3
0 0 1
3 0 0
3 0 2
2 2 1
3 3 1
0 2 0
10 3
2 2 1
1 3 2
3 2 1
3 2 3
3 1 3
3 2 2
3 0 2
2 1 2
2 0 3
0 3 0
10 7
0 1 1
2 1 2
0 2 0
1 1 2
1 2 2
2 2 2
2 1 0
2 0 2
1 1 0
2 2 0
10 2
2 2 1
0 0 2
0 0 0
1 0 0
1 2 2
2 0 0
2 1 1
1 0 1
1 2 0
0 2 2
10 6
2 0 0
2 1 2
2 2 0
0 0 1
1 0 2
0 1 0
0 1 1
2 0 1
1 0 1
1 2 1
10 2
3 3 1
1 0 3
0 0 1
3 2 2
0 0 0
1 1 2
0 2 2
3 1 3
3 0 3
3 1 1
10 2
1 1 1
0 2 1
0 1 0
1 0 1
1 0 2
2 2 3
2 1 1
2 1 3
2 3 1
2 2 0
10 3
1 0 2
2 1 2
2 1 0
0 0 2
1 2 1
1 2 0
0 2 1
2 2 1
0 1 0
0 0 0
10 9
3 2 2
1 2 1
3 0 3
1 1 1
2 1 2
1 0 3
0 1 0
2 2 0
3 1 1
2 2 1
10 5
1 0 2
2 2 2
2 0 1
1 0 1
0 1 2
0 0 1
0 0 2
1 1 2
0 1 1
0 2 1
10 2
0 1 1
2 0 2
1 0 1
0 1 0
2 0 0
1 2 0
1 1 1
1 0 2
1 0 0
2 0 1
10 8
0 1 1
1 1 0
3 0 2
3 2 0
2 0 1
2 3 0
1 2 3
1 3 2
3 3 0
0 3 3
10 2
1 0 2
0 0 2
2 0 2
0 1 1
2 0 1
1 0 1
0 2 1
1 2 2
2 1 1
1 0 0
10 8
1 2 1
2 2 2
2 0 2
1 1 0
0 2 2
1 0 2
2 0 1
0 2 0
1 2 2
1 0 1
10 9
0 2 2
1 1 0
2 1 0
2 0 1
1 2 1
0 0 2
1 0 2
2 0 0
0 1 0
1 0 1
10 8
0 2 3
2 0 0
0 0 0
3 1 2
3 0 3
0 1 2
1 1 2
3 2 1
0 2 1
3 3 2
10 9
2 2 2
0 2 2
1 1 2
1 0 2
0 0 0
2 2 1
2 1 1
1 0 0
1 1 0
2 0 2
10 6
2 1 1
1 1 2
2 2 0
2 2 2
0 0 0
0 2 0
1 2 0
1 0 1
0 2 2
1 0 2
10 3
0 2 1
2 0 1
0 1 1
2 1 2
1 1 1
1 0 2
2 2 2
1 2 2
1 1 0
0 0 1
10 7
2 2 1
3 3 1
2 1 3
0 0 1
3 3 3
0 2 3
0 2 2
1 1 3
1 3 0
3 1 0
10 6
1 3 3
3 0 0
3 3 1
0 0 2
1 0 0
1 3 0
2 0 3
0 3 3
0 0 0
0 1 1
10 9
1 2 2
0 0 2
2 1 1
1 0 1
2 2 2
0 0 1
1 1 1
2 2 1
0 0 0
1 1 0
10 9
2 1 2
2 0 2
0 2 0
0 0 1
2 1 1
2 0 1
1 0 2
2 2 2
0 1 2
0 0 2
10 4
3 3 0
0 1 1
1 0 3
0 3 0
2 1 2
0 3 1
3 3 3
0 0 0
1 2 3
3 2 0
10 8
2 0 2
1 1 2
0 1 2
2 2 3
2 0 0
1 3 0
2 0 3
0 2 1
3 0 2
3 1 0
10 6
2 0 1
3 1 0
0 1 1
2 3 3
2 0 2
2 3 2
2 3 1
1 3 2
3 2 3
2 0 0
10 7
0 0 3
0 1 0
3 2 2
1 1 3
3 1 2
0 3 0
2 0 1
1 2 2
1 1 2
1 2 1
10 2
1 1 2
0 1 0
2 0 2
0 0 1
0 1 1
2 2 1
0 0 0
1 2 0
1 2 2
2 2 2
10 7
1 1 1
3 0 3
2 0 1
2 1 1
0 2 0
0 3 0
1 2 2
1 3 2
2 0 2
1 0 2
10 4
3 2 1
1 3 1
3 1 2
0 3 3
0 1 2
3 3 2
0 0 3
3 0 1
1 1 0
0 2 3
10 2
3 1 3
1 1 1
1 2 1
1 0 3
1 0 2
3 3 3
0 1 0
3 0 0
2 0 1
1 1 3
10 3
1 2 0
0 2 1
1 0 1
1 1 2
2 2 2
2 2 0
2 1 2
0 0 2
2 1 1
2 2 1
10 8
0 2 3
3 2 0
0 3 0
3 2 1
1 2 1
0 2 2
1 1 3
2 2 1
2 1 2
2 1 1
10 3
2 0 2
1 0 0
1 1 1
1 2 2
1 1 2
0 1 0
1 0 1
2 2 2
2 0 1
0 1 1
10 8
2 2 3
1 2 3
2 3 0
0 1 2
2 1 1
3 0 1
1 1 2
3 0 3
2 0 0
3 3 1
10 3
2 1 2
0 0 2
2 2 1
0 0 0
1 1 2
2 2 0
0 2 1
2 2 2
1 0 2
0 2 2
10 5
0 2 2
0 1 0
2 1 2
2 2 2
1 0 0
0 0 1
0 1 1
1 0 1
1 2 0
2 2 0
10 8
0 0 1
1 2 0
1 3 3
0 2 3
2 1 1
3 0 2
2 0 3
2 0 1
1 0 0
1 2 2
10 2
1 2 2
0 1 0
1 0 2
0 1 1
2 2 0
2 0 1
0 0 2
2 1 0
0 2 0
2 0 2
10 6
0 2 1
2 1 0
2 0 1
0 1 1
1 0 0
0 2 0
1 1 1
0 2 2
0 0 2
1 1 2
10 8
1 1 0
2 1 0
1 1 2
2 0 0
2 1 2
0 0 2
0 0 0
0 1 0
1 2 2
1 2 0
10 6
2 2 0
2 0 0
1 2 2
1 1 2
0 0 1
1 0 1
0 2 2
1 0 2
0 1 0
2 0 1
10 2
3 1 3
0 1 1
2 0 1
3 2 3
1 1 1
0 2 0
0 0 0
1 2 3
2 0 0
2 1 3
10 2
0 1 1
0 1 0
2 2 0
1 2 0
1 1 0
2 1 0
0 2 2
2 1 2
1 0 0
2 0 1
10 4
1 0 3
2 3 3
1 1 2
0 3 2
1 3 3
0 2 1
3 0 3
3 3 1
2 0 3
3 3 0
10 2
0 0 2
1 0 1
2 2 1
2 2 0
2 2 2
2 0 2
1 2 1
2 0 1
1 2 0
0 0 1
10 9
1 0 0
1 0 2
1 2 0
0 2 0
3 1 2
2 1 3
1 0 3
0 1 3
1 3 2
3 1 3
10 7
2 0 0
0 0 0
2 2 2
1 0 1
1 2 0
2 1 1
1 1 2
0 2 2
2 2 0
0 1 0
10 6
2 0 2
3 1 0
3 3 3
3 2 1
0 2 2
2 0 1
2 1 0
1 1 0
0 2 3
3 3 2
10 7
2 0 2
0 0 0
0 2 0
0 2 1
0 0 1
1 2 2
0 1 1
1 1 0
2 2 0
0 1 2
10 9
3 0 1
3 1 2
2 0 1
1 3 2
3 1 0
3 2 1
0 2 2
2 0 2
1 2 0
0 0 2
10 4
0 0 1
2 0 1
2 1 1
1 0 0
0 1 2
0 0 2
2 0 2
2 2 1
2 0 0
1 0 1
10 3
1 1 1
0 0 2
3 1 3
3 2 0
1 0 0
1 3 3
3 0 0
2 3 2
2 1 0
1 1 2
10 4
0 1 0
2 1 2
0 2 2
0 2 1
0 0 1
1 1 0
2 1 0
1 0 2
0 2 0
1 0 1
10 6
2 2 1
2 2 2
0 2 0
2 1 1
0 1 1
0 0 2
0 1 0
0 1 2
1 0 2
1 2 1
10 8
1 2 0
2 3 1
0 2 1
1 0 3
1 2 1
3 2 1
3 1 0
3 1 2
3 0 3
2 0 0
10 3
2 1 2
2 3 1
3 1 3
2 2 2
3 0 1
2 2 0
2 1 1
0 0 2
3 1 0
1 1 0
10 5
0 2 1
1 3 2
3 3 2
0 0 0
3 2 2
1 0 2
1 0 3
3 3 1
3 1 0
2 2 3
10 9
2 1 1
3 2 1
2 3 1
1 2 0
3 3 3
1 3 3
0 3 3
3 0 2
1 3 2
0 2 3
10 9
3 2 0
1 2 1
1 2 2
2 2 3
1 3 1
2 2 0
3 3 2
0 3 3
0 1 2
1 3 3
10 7
2 2 0
3 3 2
1 1 3
3 0 2
3 1 1
3 2 0
2 1 0
3 2 1
0 3 2
2 3 1
10 9
1 2 2
1 2 1
0 1 2
2 2 0
1 1 0
0 0 1
0 1 0
1 2 0
2 0 2
2 1 1
10 8
1 3 3
1 2 3
1 1 0
2 3 3
3 1 1
3 0 3
1 1 3
0 3 0
0 2 1
2 1 0
10 6
0 1 0
2 0 0
0 2 0
0 0 0
3 2 0
2 1 1
1 2 1
2 3 0
1 3 2
3 1 1
10 5
3 2 3
2 2 3
2 0 0
1 0 0
0 0 1
1 3 3
3 2 0
1 1 3
1 2 0
1 1 2
10 6
3 1 2
2 2 3
3 3 2
3 2 2
1 3 2
2 3 2
0 1 1
0 2 2
0 2 3
2 0 0
10 3
3 1 3
3 3 1
0 3 0
0 2 1
0 2 0
2 3 0
1 0 1
0 1 3
0 1 1
1 3 0
10 7
0 1 1
0 0 0
1 2 0
1 0 0
2 2 2
0 2 2
0 2 1
1 2 1
1 1 0
1 2 2
10 6
1 0 1
1 1 2
0 1 2
1 1 1
1 2 2
0 0 1
1 0 2
1 2 1
2 2 1
2 1 2
10 5
0 1 1
0 3 0
3 2 2
1 1 0
0 2 1
1 1 2
0 3 3
2 1 2
0 2 0
3 0 1
10 8
2 3 0
0 0 3
1 3 1
0 3 2
0 3 1
0 1 3
3 0 0
2 3 2
2 2 0
2 0 1
10 6
0 3 2
0 3 0
0 1 2
3 3 0
1 2 3
2 1 0
0 0 0
2 2 0
2 0 3
0 1 0
10 2
2 0 3
2 1 1
3 0 3
1 0 1
1 3 0
3 0 1
0 1 1
1 1 3
3 1 1
3 3 0
10 5
0 2 0
1 2 2
3 1 0
3 0 3
0 3 2
0 2 3
0 1 3
1 2 3
3 3 3
3 1 1
10 8
2 0 2
0 0 0
1 1 1
2 1 1
1 1 2
0 1 0
1 2 2
2 1 2
1 0 0
1 0 2
10 8
0 2 1
2 0 0
0 1 1
0 0 1
2 2 0
0 2 0
2 2 1
2 0 1
0 1 2
1 1 0
10 5
1 0 1
0 2 3
1 2 1
0 3 1
3 3 1
0 0 2
1 3 3
3 1 1
2 0 0
0 3 0
10 3
2 1 1
0 1 1
3 0 2
0 3 2
0 2 3
3 2 3
2 1 0
1 3 3
0 0 3
1 3 2
10 5
2 0 1
1 0 0
1 1 2
2 2 1
2 1 2
1 2 2
0 2 1
0 0 0
1 0 2
0 1 0
10 8
0 1 0
0 3 3
2 1 0
0 1 2
2 3 0
1 2 3
0 3 1
0 2 2
0 0 3
3 0 0
10 5
0 1 2
2 3 2
0 2 0
3 0 1
0 0 2
0 2 1
3 0 3
1 0 3
2 0 2
1 1 0
10 4
0 1 0
0 1 1
1 2 2
0 2 0
1 0 1
1 2 1
2 0 1
1 1 1
0 0 2
2 2 1
10 6
3 2 3
2 0 1
2 3 3
0 3 2
2 0 0
1 1 0
3 2 1
3 1 2
3 1 1
3 3 0
10 9
1 1 0
1 0 1
3 3 0
2 0 2
0 2 2
2 1 2
0 2 3
1 3 2
0 1 3
1 2 0
10 7
2 2 1
1 0 2
2 0 1
0 0 0
2 2 0
1 0 0
1 1 0
1 1 2
1 1 1
2 0 2
10 8
0 1 1
1 2 0
1 1 1
2 0 2
0 2 2
2 0 1
2 2 1
1 2 1
1 1 2
0 2 0
10 5
2 1 2
2 2 0
2 0 0
0 2 0
1 0 0
0 1 1
0 1 0
0 0 0
2 0 2
1 2 2
10 6
2 2 0
0 2 1
1 0 2
1 2 0
2 0 0
2 0 2
0 2 2
1 2 1
2 2 1
2 1 2
10 2
2 3 2
0 2 1
0 1 0
3 3 0
0 1 1
1 0 2
2 2 0
1 0 3
3 2 2
2 0 1
10 2
0 1 0
2 2 1
1 1 0
1 2 2
2 2 0
0 2 0
0 0 2
1 0 2
1 2 1
0 0 1
10 2
0 3 3
1 2 0
2 1 1
3 3 0
0 2 3
1 1 1
0 1 3
2 2 1
1 1 0
1 3 2
10 9
2 2 0
0 0 0
2 1 0
0 2 1
1 2 2
2 0 0
2 1 2
1 1 0
2 2 2
1 0 0
10 4
2 1 0
1 3 3
2 1 1
0 0 2
1 0 2
1 1 3
3 1 2
2 1 2
3 3 3
0 3 0
10 5
0 0 1
0 2 2
0 1 1
0 0 0
1 0 2
1 1 2
0 0 2
2 0 1
0 2 1
2 1 0
10 2
0 1 0
0 2 1
0 0 2
1 1 1
1 0 0
2 2 1
1 0 2
2 0 2
0 0 1
1 1 0
10 2
0 1 2
1 3 0
0 3 2
2 0 2
2 2 1
3 2 1
0 1 1
1 1 0
2 1 1
0 3 3
10 5
0 1 0
3 1 0
1 3 2
0 0 2
1 2 3
1 0 3
1 1 2
3 3 0
3 1 3
2 0 1
10 7
0 0 2
0 0 1
2 2 1
1 2 1
0 2 1
2 1 0
0 1 1
0 2 0
0 0 0
1 0 2
10 5
0 0 1
0 2 1
0 1 1
1 1 0
1 0 1
1 2 2
1 2 1
1 2 0
0 0 0
1 0 2
10 7
3 2 2
2 2 0
2 0 1
2 1 0
2 0 3
3 1 3
1 1 3
1 2 0
0 0 1
3 1 0
10 3
0 0 0
0 1 1
2 0 1
2 2 2
2 1 2
0 2 1
2 0 0
0 0 1
0 0 2
1 0 2
10 7
1 0 1
1 3 3
3 2 2
2 3 0
3 0 0
2 3 1
1 3 0
1 2 3
3 3 3
2 2 1
10 7
2 1 0
3 3 2
3 2 3
0 3 1
0 2 3
1 0 3
1 0 2
3 1 0
2 3 3
3 3 0
10 9
2 1 1
1 2 0
2 2 2
2 2 0
2 2 1
0 0 0
0 2 0
2 1 2
2 0 0
0 1 1
10 9
0 0 0
2 1 0
1 1 2
3 0 3
2 2 3
1 2 1
1 1 0
0 0 3
2 1 2
0 2 0
10 7
1 0 1
2 2 0
1 2 2
0 2 2
1 0 2
0 1 2
2 0 1
2 0 0
0 0 2
0 2 0
10 6
1 0 1
0 2 1
1 0 2
2 1 0
2 1 1
0 0 1
1 1 2
2 2 1
2 0 1
0 1 0
10 4
0 1 1
0 1 0
0 2 0
1 0 0
0 1 2
1 1 0
0 0 2
0 0 1
2 1 1
1 2 2
10 2
2 0 0
2 0 2
2 2 1
1 0 2
0 0 2
0 2 1
1 2 0
0 0 1
0 0 0
2 1 0
10 2
2 0 1
3 2 1
1 1 1
0 0 1
0 0 3
1 1 0
3 0 0
3 3 2
2 1 2
1 3 0
10 3
0 1 3
0 2 2
3 0 2
0 1 2
0 3 0
1 0 0
1 1 1
0 3 2
1 0 3
2 1 0
10 9
3 1 2
0 2 0
1 1 0
3 3 2
1 1 3
2 3 0
0 2 2
1 1 1
2 2 1
2 2 0
10 8
2 2 2
1 0 1
1 0 0
0 1 2
1 0 2
2 0 2
0 1 0
2 2 0
0 0 1
2 1 2
10 8
1 0 1
2 0 0
0 2 1
0 0 0
1 1 2
2 1 2
2 2 2
0 1 0
2 2 1
1 2 0
10 8
2 3 0
0 0 0
1 2 3
0 3 2
3 0 3
1 1 0
2 2 2
0 3 0
2 1 3
0 2 0
10 8
0 3 2
1 0 3
3 0 3
0 2 1
0 1 0
3 1 2
2 3 3
2 1 2
3 0 1
3 2 0
10 5
1 1 1
0 1 2
1 2 0
1 0 1
2 0 2
1 0 0
2 2 0
2 1 0
0 0 0
2 2 1
10 5
3 3 3
0 3 0
1 3 1
3 3 2
2 1 0
3 2 1
2 3 1
2 0 1
2 3 0
2 1 3
10 6
2 1 3
3 1 0
2 1 2
2 2 0
2 0 1
3 3 1
1 1 2
1 0 0
2 0 2
1 3 2
10 8
0 1 0
0 0 0
2 0 2
1 0 0
2 2 0
2 0 0
0 0 1
0 1 1
1 1 1
1 2 1
10 8
2 1 0
2 2 0
0 0 2
2 0 2
2 2 1
0 1 1
0 1 0
1 0 0
1 0 1
1 1 0
10 5
3 1 2
0 2 1
0 2 3
3 3 3
3 0 0
2 2 2
3 1 3
0 0 0
3 3 1
1 0 3
10 2
1 2 1
2 1 1
2 2 1
2 2 2
1 2 0
2 1 2
0 0 2
0 2 2
1 1 1
0 0 0
10 5
0 0 1
1 2 2
2 0 0
1 2 0
0 2 1
2 2 0
0 2 2
1 0 0
1 0 2
0 1 0
10 9
0 0 1
1 0 1
0 0 2
1 2 2
0 2 1
0 2 2
0 1 1
2 1 0
2 0 1
0 1 2
10 5
3 1 0
1 1 1
2 2 3
2 1 3
3 2 0
3 0 2
0 2 0
3 3 1
1 1 3
1 2 3
10 3
2 2 2
1 2 2
0 0 1
1 0 1
0 2 0
0 1 1
1 0 2
2 0 1
1 2 0
2 1 0
10 5
3 0 1
3 1 1
3 2 1
0 0 3
2 2 1
2 1 1
0 3 0
0 1 1
3 0 3
3 2 3
10 6
0 0 1
2 2 1
1 2 1
1 0 1
2 0 0
0 2 2
2 1 1
0 1 1
2 0 2
1 1 2
10 3
2 2 3
3 2 0
2 3 2
3 0 0
2 1 1
0 1 2
0 1 0
1 3 1
2 3 3
2 1 3
10 2
1 1 1
2 0 0
2 1 1
1 2 1
1 0 0
2 1 0
2 1 2
2 2 2
2 2 1
1 1 0
10 9
0 3 3
2 3 2
2 1 0
2 2 2
3 2 0
0 0 2
3 3 2
0 0 1
1 1 1
3 2 3
10 6
3 3 1
3 1 0
0 0 0
2 3 1
0 3 3
1 0 2
3 0 1
2 3 3
0 1 1
0 1 0
10 6
3 3 0
0 2 0
2 0 2
2 3 0
0 3 2
1 1 3
2 1 3
1 2 3
1 3 1
2 0 3
10 4
2 2 0
2 0 0
2 1 2
0 2 1
0 0 2
3 2 2
2 3 3
1 0 0
1 0 2
1 2 1
10 9
2 0 1
0 0 0
0 1 0
1 0 2
1 2 1
0 1 2
1 1 0
2 2 2
2 1 0
2 0 2
10 2
1 2 2
2 1 2
3 2 2
0 0 1
1 0 2
2 3 1
2 0 2
0 3 0
0 2 3
3 1 0
10 6
0 1 0
0 1 2
1 0 0
1 0 2
2 1 0
0 0 1
1 2 1
0 0 2
1 0 1
0 1 1
10 2
2 2 3
2 2 1
0 3 1
3 3 1
1 3 3
0 0 1
3 2 0
0 2 2
0 1 0
0 2 0
10 5
3 0 2
0 1 2
2 3 0
2 0 2
2 3 3
1 0 2
1 2 3
1 1 0
3 0 0
1 0 3
10 5
1 1 1
0 2 2
2 0 3
2 0 2
2 0 0
0 0 2
0 1 1
1 2 2
1 1 3
2 2 1
10 3
3 1 0
2 0 1
1 1 1
3 2 3
2 0 2
3 1 3
3 3 2
0 1 2
1 2 3
0 3 3
10 6
2 0 1
0 0 2
0 0 0
0 2 2
1 1 2
2 2 0
2 0 2
0 1 0
2 2 2
1 2 0
10 7
2 0 1
1 2 2
2 1 3
1 1 2
0 1 1
3 0 1
0 0 2
0 3 1
2 2 1
1 0 3
10 7
2 0 2
2 1 2
1 1 2
0 1 0
3 1 2
2 3 3
0 2 3
0 0 1
3 2 3
3 2 1
10 9
2 0 0
0 0 1
2 0 3
1 0 2
3 3 3
2 3 0
3 2 0
0 1 1
0 1 2
1 0 0
10 2
0 2 2
2 1 0
2 2 1
1 2 1
2 0 2
1 0 1
1 1 0
0 0 0
2 0 1
1 0 2
10 2
1 0 1
0 3 0
3 1 3
1 3 3
1 2 2
2 2 3
3 3 1
0 3 2
1 2 1
1 1 2
10 8
3 1 0
1 0 1
0 1 3
2 3 2
3 1 1
3 2 2
0 3 0
3 3 1
0 0 2
3 3 3
10 9
2 1 2
1 2 0
0 1 1
1 1 2
0 2 2
1 1 0
2 2 2
0 0 1
0 0 2
0 2 0
10 5
2 1 2
0 3 2
2 0 3
2 2 3
3 3 1
0 1 1
0 0 2
1 2 1
2 0 1
2 3 3
10 6
2 0 1
0 1 2
1 1 0
2 0 0
1 1 2
1 2 0
0 0 0
0 2 1
0 2 2
2 1 0
10 6
3 0 0
3 3 2
1 1 3
2 2 0
1 2 1
1 3 0
2 2 1
0 1 1
3 1 2
1 0 1
10 4
2 2 2
0 1 2
1 2 1
1 0 2
0 2 2
1 0 1
1 1 0
0 0 0
0 1 0
0 0 1
10 2
1 1 1
2 2 0
2 1 2
2 0 1
0 2 2
2 0 0
1 0 0
1 0 2
0 1 1
1 1 0
10 6
0 1 1
1 2 0
0 1 0
0 0 0
2 2 2
0 2 2
2 0 0
0 2 0
2 0 1
1 1 0
10 6
1 1 1
0 2 1
0 1 0
0 2 2
1 0 1
0 1 2
2 1 0
2 1 1
1 2 0
1 2 2
10 6
3 2 3
0 1 1
2 2 0
0 3 1
1 0 2
0 0 3
1 1 3
1 2 3
0 3 3
1 2 2
10 6
1 3 3
0 1 0
3 0 1
0 2 1
0 1 1
0 3 3
0 3 1
1 2 1
0 2 0
2 3 1
10 7
0 1 0
2 2 1
0 0 1
1 1 1
2 1 2
0 1 1
2 2 0
1 0 0
0 1 2
0 0 2
10 3
0 0 0
2 2 2
2 1 2
1 0 1
1 1 0
1 0 2
2 2 0
0 0 2
0 1 2
1 2 1
10 2
2 1 3
0 1 1
0 0 1
1 1 0
2 2 2
1 3 3
3 1 3
0 0 2
0 3 0
0 0 3
10 7
0 0 2
1 0 2
1 2 1
1 1 2
2 1 1
2 0 2
0 0 0
1 0 0
2 0 1
2 2 1
10 4
1 1 0
0 2 2
0 0 0
2 0 1
2 0 0
2 1 1
2 2 2
0 1 2
0 2 1
0 2 0
10 2
0 3 1
3 1 1
1 0 3
2 2 2
2 0 3
1 1 0
1 3 0
2 1 3
0 3 0
3 3 2
10 8
0 0 2
3 1 3
1 0 1
3 0 1
1 0 3
2 0 0
0 0 1
2 3 3
3 2 2
1 3 0
10 6
2 0 0
0 0 1
0 2 0
1 1 2
0 1 0
0 0 2
0 1 1
1 0 0
1 1 1
2 0 2
10 4
1 2 2
2 0 0
0 1 1
0 2 0
1 2 0
1 1 1
1 0 0
1 2 1
2 1 2
1 1 0
10 4
2 3 3
2 2 2
2 1 1
2 3 2
0 1 2
3 0 0
2 1 3
3 0 2
0 2 2
1 0 1
10 2
2 3 2
3 2 2
1 2 0
3 2 1
2 2 3
1 1 3
2 1 3
2 1 0
2 3 3
3 0 0
10 8
1 2 2
1 1 2
2 1 2
0 0 1
0 0 0
2 2 2
1 0 2
1 0 0
2 0 0
0 2 2
10 4
2 2 2
0 0 1
1 2 0
1 1 0
2 0 0
1 2 2
2 1 2
0 1 0
2 1 0
2 1 1
10 6
2 1 1
1 2 1
2 1 0
1 2 0
2 0 1
1 1 1
2 2 2
0 1 0
0 1 1
0 0 0
10 6
3 2 0
2 1 0
1 3 1
0 1 2
3 1 3
2 0 1
1 1 0
3 3 1
2 0 3
0 0 2
10 4
3 1 2
1 2 3
0 3 1
0 0 2
0 0 3
3 2 2
1 2 1
3 0 2
3 2 3
2 0 0
10 6
3 3 2
2 1 2
1 2 1
0 1 0
2 2 3
1 2 0
1 1 2
2 0 0
2 2 0
3 1 3
10 2
1 3 1
0 1 1
3 3 2
3 0 1
1 2 3
2 1 1
2 3 2
0 0 1
1 2 1
3 2 1
10 9
1 1 2
3 1 2
2 1 3
1 2 3
2 2 0
0 0 1
1 2 0
3 2 3
3 3 1
2 3 2
10 4
2 0 0
1 1 2
0 2 0
0 1 0
0 1 2
0 0 1
1 0 2
0 0 0
0 0 2
2 2 2
10 7
2 0 1
1 1 2
2 2 2
1 2 0
2 2 0
2 0 2
0 1 1
2 2 1
2 0 0
2 1 2
10 4
2 1 0
2 0 0
0 2 0
0 1 2
2 1 1
2 0 1
0 2 2
1 2 2
1 2 0
0 0 2
10 5
0 1 1
1 2 1
2 1 2
1 0 2
0 0 0
2 1 0
2 1 1
0 1 0
2 2 2
1 1 1
10 6
1 1 2
2 0 2
2 0 0
1 0 1
1 0 2
0 0 0
2 1 1
2 2 1
0 1 2
0 1 1
10 7
1 1 2
0 0 0
1 0 0
1 0 1
2 0 2
2 2 2
0 1 1
2 1 0
2 2 1
0 2 2
10 2
1 1 0
0 2 2
2 3 1
1 3 2
1 1 2
0 1 2
0 0 2
1 2 3
1 3 3
3 0 3
10 2
2 2 0
1 0 2
0 2 0
1 1 2
1 2 0
1 0 0
2 2 1
0 2 1
0 1 0
0 0 1
10 9
2 2 1
0 2 2
1 1 1
2 1 1
1 1 2
0 1 2
2 0 2
1 0 1
1 0 0
0 0 2
10 7
2 3 0
2 0 2
2 2 1
0 2 3
3 2 0
3 3 3
3 0 1
3 0 3
0 3 0
0 3 2
10 3
0 1 2
1 0 0
2 0 1
1 1 0
0 0 1
0 2 2
0 1 0
0 0 2
1 0 1
0 0 0
10 3
0 1 1
2 2 1
0 2 2
1 1 1
0 1 2
1 1 2
1 2 1
2 0 0
2 1 0
0 1 0
10 2
0 1 1
1 0 2
2 0 2
2 1 1
2 2 1
2 2 2
1 0 1
0 2 0
2 1 0
1 0 0
10 6
2 2 2
1 3 3
3 1 0
1 3 0
0 3 1
0 1 1
3 1 1
2 2 0
0 2 2
0 1 2
10 4
0 2 2
1 2 1
2 0 2
2 0 1
0 0 2
0 0 0
0 1 0
2 1 1
0 1 1
1 0 1
10 5
1 1 0
2 0 1
2 1 1
1 2 0
1 0 1
2 2 2
0 2 2
1 0 2
1 1 2
1 1 1
10 6
1 1 2
2 1 0
1 2 2
0 0 0
0 2 0
2 2 2
2 1 1
1 2 1
0 2 1
2 0 0
10 7
0 1 0
1 2 1
2 2 2
0 0 2
2 0 1
1 0 1
2 0 0
1 0 0
2 0 2
1 1 0
10 6
3 3 2
1 3 2
3 2 1
2 2 2
0 1 3
0 3 0
3 0 2
1 2 0
2 2 1
2 1 3
10 3
2 3 2
3 2 0
1 0 2
1 2 3
1 1 2
0 1 2
3 2 1
0 3 0
2 1 3
1 1 1
10 6
3 3 1
3 1 1
0 0 0
2 0 1
2 0 0
1 2 0
0 0 2
0 2 2
0 2 3
1 0 2
10 5
1 0 1
0 1 2
0 1 0
1 1 2
0 0 0
0 0 2
2 0 2
0 1 1
2 1 0
1 1 1
10 9
2 3 0
2 0 1
0 1 0
0 0 0
1 0 0
3 1 3
2 1 1
3 3 0
2 1 0
2 2 2
10 5
0 0 1
1 0 0
2 0 2
2 1 2
1 2 0
0 1 1
1 0 1
2 1 0
2 0 1
2 2 2
10 5
3 0 3
3 2 3
2 0 1
0 3 0
1 3 2
1 1 2
1 1 0
1 0 0
1 2 0
0 0 0
10 3
0 0 1
2 2 1
1 2 1
1 1 2
2 2 0
0 1 1
2 0 1
1 1 1
0 2 1
0 1 0
10 8
3 1 1
0 1 1
0 2 1
1 3 3
3 2 0
3 3 0
2 3 0
0 1 3
1 1 1
2 1 3
10 6
0 2 1
2 2 0
0 0 1
1 2 2
1 1 2
2 0 0
1 0 2
2 2 1
1 2 0
2 2 2
10 8
0 2 0
2 2 2
1 1 2
0 1 1
1 0 1
1 2 1
0 1 2
0 0 1
1 0 2
2 0 0
10 9
1 1 0
1 0 0
1 1 2
1 2 1
2 1 1
1 0 2
1 2 2
0 0 0
0 2 2
2 2 2
10 4
2 2 0
0 2 2
0 2 0
2 2 1
0 1 0
0 0 0
1 0 0
0 1 1
2 0 2
2 1 2
10 7
1 1 1
3 1 0
3 0 3
3 3 0
2 3 2
3 3 2
2 0 3
1 0 1
0 1 1
2 2 3
10 6
2 0 2
1 1 3
3 1 3
1 1 1
3 0 0
2 0 0
3 1 0
0 0 0
3 0 2
1 3 0
10 3
0 1 0
1 1 2
0 0 2
0 1 1
1 2 1
0 0 0
2 2 1
2 0 0
1 0 0
1 1 1
10 4
0 1 1
1 1 0
0 2 0
2 0 1
1 0 2
0 0 2
2 0 2
1 0 1
2 2 1
1 2 0
10 6
0 0 2
1 1 1
0 3 1
3 0 2
3 0 0
2 1 0
3 3 0
1 0 0
1 2 1
3 3 2
10 7
0 0 3
2 2 2
0 2 1
1 1 0
2 3 0
3 3 2
2 2 0
3 2 2
2 3 3
3 3 3
10 4
1 2 2
1 0 1
1 2 3
2 1 1
2 0 1
0 3 1
3 0 3
3 2 1
2 2 1
1 1 0
10 6
2 0 1
0 3 2
3 3 0
2 3 3
2 0 0
2 1 0
2 3 1
1 0 2
0 3 3
0 1 0
10 2
0 1 1
1 2 2
3 1 0
2 0 2
1 1 1
1 1 3
2 0 1
1 1 2
0 2 1
1 2 1
10 5
0 2 0
0 3 0
2 1 2
1 2 1
0 2 2
0 0 2
2 3 2
2 2 0
1 2 0
3 1 3
10 6
1 1 2
2 2 2
1 1 0
0 0 2
2 1 2
1 0 2
0 2 2
1 2 0
1 2 2
2 0 2
10 8
1 0 0
2 2 0
2 0 0
2 1 2
2 0 1
1 0 1
0 2 1
1 1 1
1 1 0
2 1 1
10 5
2 0 2
0 0 2
0 2 0
1 2 1
3 2 2
1 3 1
1 0 0
2 0 0
1 0 3
3 0 2
10 5
1 2 1
2 3 2
0 1 2
3 0 2
0 3 2
2 1 2
1 3 0
0 0 1
3 2 3
1 1 1
10 2
0 1 0
1 1 0
0 1 2
0 0 0
2 2 2
2 0 1
1 0 0
2 1 0
1 2 2
1 2 1
10 6
2 1 0
1 1 2
2 2 2
1 1 1
0 2 1
2 0 1
1 2 1
1 2 2
2 2 1
0 2 0
10 2
3 2 3
3 3 3
0 1 0
3 1 1
2 1 2
3 1 3
1 0 2
0 1 3
0 1 2
2 1 1
10 9
0 2 0
2 2 0
1 1 2
2 2 2
2 1 1
2 1 0
1 2 1
1 2 0
1 1 1
1 1 0
10 4
0 2 0
0 1 2
0 0 0
2 0 2
1 1 0
2 2 2
1 1 1
1 2 0
1 0 1
1 1 2
10 9
3 1 1
3 2 3
1 0 2
1 1 0
1 1 3
3 0 2
0 1 1
3 1 0
0 1 3
3 3 2
10 2
2 3 2
1 3 2
3 2 2
3 3 2
3 1 2
1 0 3
0 2 0
3 2 1
2 1 1
1 0 1
10 8
0 2 3
2 0 0
3 2 1
0 0 2
3 1 1
3 3 0
3 2 2
3 0 1
0 3 1
0 0 3
10 2
3 2 2
3 0 3
1 2 1
3 0 0
0 1 3
3 1 3
1 2 2
2 3 3
3 1 2
0 0 3
10 3
3 0 0
0 3 2
0 1 1
0 3 0
1 0 3
2 3 2
0 2 1
3 2 0
1 1 1
2 3 1
10 6
2 1 1
1 2 2
0 0 2
1 2 1
0 2 0
1 2 0
2 1 0
2 0 0
0 2 1
1 1 0
10 5
0 1 2
1 1 2
0 0 0
0 2 0
1 2 0
2 0 0
0 1 0
2 1 2
1 0 2
2 1 0
10 8
1 0 0
1 2 3
0 2 1
3 0 0
3 3 2
0 0 0
1 0 3
1 2 0
0 2 0
3 1 2
10 6
0 2 2
0 2 0
1 0 0
2 1 2
2 0 1
1 1 2
1 1 1
2 1 0
0 2 1
2 2 0
10 4
0 0 1
2 0 2
2 1 0
2 2 0
0 1 1
1 0 2
2 0 1
2 2 2
1 0 1
0 0 2
10 3
1 2 1
1 2 2
1 1 1
2 1 1
0 1 2
2 1 0
0 2 1
0 1 1
2 0 0
0 1 0
10 6
3 0 2
1 3 1
1 2 0
0 0 2
0 1 0
0 3 2
2 3 1
1 0 3
1 1 3
2 3 0
10 6
1 1 0
2 3 3
3 2 1
1 3 3
0 0 1
2 2 1
3 2 2
3 3 2
1 3 1
3 3 3
10 4
0 1 0
0 0 0
2 1 1
0 1 1
2 0 1
1 2 0
1 0 2
1 2 1
1 0 1
0 2 0
10 3
1 1 1
1 0 2
2 1 2
2 0 1
0 0 0
0 1 2
2 2 2
1 0 0
2 2 0
1 1 2
10 9
1 0 1
2 0 1
0 2 0
0 1 2
2 2 0
0 0 2
1 2 0
1 2 2
2 0 0
1 1 1
10 7
0 0 0
1 1 2
2 2 0
0 0 1
0 1 2
1 0 0
2 0 1
0 0 2
1 2 1
1 2 0
10 2
1 0 0
1 2 1
0 2 2
1 1 1
2 1 2
0 0 1
1 1 0
2 2 1
1 2 2
0 0 0
10 8
0 2 2
1 1 2
1 2 2
2 1 0
2 0 1
2 2 0
2 2 1
0 2 1
0 0 1
1 0 2
10 6
2 0 1
2 0 0
1 1 2
0 0 2
1 2 1
2 2 1
1 2 2
0 1 0
0 0 0
2 1 1
10 9
2 1 1
0 1 0
2 0 0
1 1 0
0 0 0
1 0 1
1 1 2
1 0 2
0 0 2
0 0 1
10 6
0 0 0
0 1 2
2 0 2
0 2 2
2 2 0
0 2 0
1 2 1
0 2 1
1 0 0
1 2 2
10 4
0 2 1
2 0 2
0 2 2
2 1 0
1 1 2
0 1 1
0 0 1
1 1 0
1 2 1
0 1 0
10 5
0 0 2
2 2 1
0 3 0
1 3 0
3 0 1
0 1 0
3 1 2
2 1 0
0 1 1
3 0 3
10 6
1 0 1
3 2 3
1 0 2
0 2 0
0 0 2
1 3 3
2 0 3
1 1 2
2 1 1
3 2 1
10 2
2 2 0
0 0 2
1 2 1
0 0 1
1 1 0
1 0 2
1 0 1
0 2 1
2 2 1
1 0 0
10 4
2 0 1
2 1 0
0 0 2
2 2 0
1 1 2
0 2 1
2 2 2
1 2 2
1 2 0
0 2 2
10 4
2 0 1
1 3 2
2 2 2
3 1 1
3 0 2
1 3 0
0 0 0
3 2 2
2 1 0
2 3 3
10 4
2 0 1
2 2 2
1 2 0
0 2 1
1 0 0
0 2 0
2 2 1
0 1 2
1 2 2
2 0 2
10 4
0 1 3
1 1 2
2 3 1
2 0 3
2 2 2
2 2 1
1 1 3
3 1 2
0 3 1
2 3 3
10 7
2 1 2
1 2 0
2 0 2
0 1 0
0 1 1
2 1 1
2 0 0
2 2 1
0 0 1
1 0 2
10 6
0 2 2
0 0 1
1 1 0
2 0 0
1 0 2
1 1 1
2 1 1
0 1 2
0 2 0
2 0 1
10 9
2 0 3
2 0 1
1 3 0
0 0 2
2 3 3
1 1 1
1 3 2
0 0 1
1 1 2
3 0 1
10 8
2 2 2
1 0 2
2 0 2
2 2 1
0 0 1
1 1 1
2 2 0
2 0 1
1 0 1
0 1 0
10 4
2 0 1
2 2 2
1 0 0
1 2 2
0 1 0
1 1 0
2 0 0
2 1 1
1 0 1
1 1 1
10 2
2 0 1
2 1 2
0 0 1
2 2 0
1 0 1
2 0 0
0 1 1
0 0 0
0 2 1
0 2 2
10 5
1 1 1
2 2 1
2 0 0
2 2 2
1 1 2
2 1 0
1 0 1
1 2 0
1 0 2
1 2 2
10 3
3 1 1
1 2 2
2 1 1
1 3 2
3 3 0
3 2 1
2 0 0
3 2 0
0 2 2
3 1 3
10 2
0 1 3
3 1 2
2 1 1
2 2 2
0 3 2
2 1 0
3 3 1
1 3 0
1 3 2
1 0 2
10 2
0 2 2
0 1 2
1 2 0
2 2 2
1 0 1
2 0 0
0 0 1
2 0 1
1 0 0
2 1 1
10 5
2 2 2
0 0 2
2 2 0
1 1 1
1 0 2
2 0 1
0 2 2
0 2 0
0 1 0
1 1 2
10 8
1 1 0
3 0 3
3 3 1
3 2 1
0 3 2
3 2 3
1 2 0
1 3 2
1 0 0
0 1 3
10 5
0 1 3
2 0 1
3 0 3
2 1 2
2 3 1
1 0 3
1 2 0
3 3 3
0 3 1
3 0 2
10 5
1 1 0
3 3 2
0 1 0
1 3 0
3 2 0
0 3 3
3 1 3
1 0 1
3 1 1
0 0 1
10 4
1 0 1
2 1 0
2 2 2
0 1 1
0 2 2
0 2 0
2 0 0
0 0 2
0 0 1
0 1 2
10 9
3 2 3
3 2 2
2 3 1
2 2 1
2 1 2
3 0 1
1 3 1
1 0 3
2 0 2
2 1 3
10 7
0 3 2
2 2 2
2 3 2
2 2 1
0 0 0
1 2 3
0 2 1
3 2 0
1 3 0
3 2 3
10 9
2 1 1
1 0 2
0 0 2
0 3 2
0 2 2
3 3 2
2 2 0
1 3 1
0 1 2
3 0 0
10 5
0 0 1
0 0 2
1 2 0
1 1 0
0 0 0
2 1 2
1 0 1
2 1 1
1 0 0
1 0 2
10 3
0 2 2
3 1 2
2 1 1
3 2 3
0 2 1
2 3 1
0 3 2
1 2 2
1 2 1
2 3 3
10 2
0 2 2
2 2 2
3 0 1
1 0 0
3 3 1
3 2 3
3 2 1
1 3 1
0 1 1
0 3 2
10 5
0 2 1
1 2 1
2 0 1
2 0 2
1 1 1
0 0 1
2 2 0
2 1 2
2 0 0
2 2 2
10 9
1 0 1
3 1 0
3 2 0
2 1 0
0 2 2
1 1 3
2 1 1
3 0 3
0 2 1
1 3 2
10 9
2 2 2
0 1 1
0 0 1
2 1 2
0 0 0
2 1 1
0 1 2
0 2 2
0 0 2
1 0 2
10 5
0 0 0
1 0 2
0 1 0
2 0 2
0 2 1
2 0 0
1 2 1
1 1 2
0 0 2
1 2 2
10 8
1 2 0
3 1 0
3 0 2
1 0 2
3 1 3
1 1 2
2 2 3
3 0 0
1 0 1
1 2 2
10 5
1 3 3
2 2 3
2 2 0
3 3 0
3 2 0
0 0 1
1 3 2
0 0 2
2 0 0
0 1 2
10 4
3 2 0
1 2 1
2 2 0
0 1 2
2 3 0
0 3 2
3 0 1
3 0 0
1 0 2
1 2 3
10 7
0 0 0
0 0 2
2 1 0
1 2 0
0 2 1
0 2 0
2 2 1
1 0 1
0 1 1
0 0 1
10 8
1 0 3
1 2 0
0 0 3
2 3 0
0 0 0
2 0 2
1 3 0
0 3 0
1 0 2
2 3 2
10 4
1 1 2
1 2 1
2 1 0
2 2 1
0 2 2
0 2 0
1 2 2
2 0 2
2 0 0
0 0 1
10 2
2 3 0
2 1 2
1 2 1
1 2 2
2 0 0
0 2 2
0 2 3
0 0 1
3 1 3
3 1 0
10 3
1 1 0
1 0 0
2 2 0
0 1 1
2 2 2
1 2 1
1 2 2
2 0 1
1 1 1
0 2 2
10 9
2 2 1
2 1 0
1 2 0
1 0 0
0 1 2
1 2 1
2 2 2
0 2 0
0 2 1
0 2 2
10 9
1 2 0
1 2 1
0 2 0
0 0 1
2 2 2
2 2 0
0 0 2
0 1 2
2 1 1
2 0 0
10 6
0 3 1
3 3 0
3 2 0
2 3 0
3 3 2
2 0 2
0 3 0
0 3 2
2 0 3
0 1 3
10 5
1 1 0
2 2 1
1 1 2
0 0 1
2 0 0
1 2 2
1 2 1
0 1 1
1 0 2
1 2 0
10 7
0 0 0
1 2 0
2 1 2
2 2 1
2 0 2
0 0 1
0 1 1
2 0 0
0 2 0
1 0 1
10 8
0 2 2
1 2 2
1 0 1
1 2 1
2 2 0
1 1 2
2 2 2
2 0 0
0 1 1
0 0 2
10 6
3 0 3
0 3 0
2 2 3
1 1 3
2 1 2
3 2 1
3 3 3
0 2 2
1 3 2
1 1 2
10 9
1 0 1
3 0 0
2 0 0
0 3 1
1 3 3
1 3 1
1 3 0
3 0 2
2 1 0
2 2 2
10 6
2 0 2
2 1 0
3 0 2
3 3 2
2 0 3
1 2 1
1 0 2
3 3 3
0 1 3
0 2 1
10 6
0 2 1
0 0 2
1 1 1
0 0 0
0 0 1
1 1 0
1 1 2
2 0 1
2 0 0
2 2 1
10 6
2 2 0
2 2 2
0 0 0
0 1 2
0 0 1
1 2 2
0 0 2
0 1 0
1 0 2
2 2 1
10 3
3 2 1
2 2 2
2 1 0
2 3 3
1 0 2
2 1 2
1 1 2
3 1 2
0 2 2
1 1 1
10 8
2 1 0
1 3 1
1 2 1
0 0 0
3 1 1
3 3 1
0 3 0
2 0 1
0 1 3
1 0 2
10 3
0 0 1
0 3 1
1 3 1
0 1 2
2 1 0
0 3 0
2 0 3
0 1 1
3 3 2
0 1 3
10 2
0 0 0
3 3 0
2 2 1
3 3 2
2 1 0
2 2 0
0 3 3
1 2 1
2 2 2
0 1 3
10 8
0 1 0
2 1 2
0 1 1
0 0 0
2 0 1
0 1 2
0 2 2
2 0 0
2 0 2
0 2 0
10 8
1 0 2
1 1 0
1 1 2
0 1 0
2 2 0
1 2 0
2 2 2
2 0 1
1 0 1
2 2 1
10 5
1 2 2
0 0 2
1 0 0
1 0 1
3 2 2
3 3 0
0 1 0
2 2 3
2 1 2
2 3 0
10 4
2 0 2
0 0 0
2 1 1
2 1 2
2 2 2
1 2 1
2 2 0
1 0 0
2 2 1
0 1 0
10 3
2 0 1
0 1 1
0 2 1
1 2 1
0 0 2
1 1 2
1 2 0
2 1 0
1 2 2
2 0 2
10 4
0 2 1
2 0 2
0 2 0
1 2 1
1 0 1
0 0 1
0 2 2
0 1 2
0 0 2
1 0 2
10 2
0 3 3
2 2 1
0 0 1
2 0 2
3 1 0
1 3 1
0 3 1
0 3 2
0 2 0
1 0 3
10 4
2 0 0
0 2 1
2 0 1
2 1 0
2 2 2
2 1 2
0 0 0
0 2 2
2 0 2
1 0 2
10 8
0 1 2
0 2 1
0 1 0
0 2 0
2 1 1
0 0 0
1 1 1
1 1 2
0 0 1
2 1 0
10 6
1 0 0
1 2 0
1 1 1
0 2 0
1 1 3
1 0 1
1 0 2
1 0 3
2 2 0
1 1 2
10 2
1 0 2
1 1 0
0 0 1
1 1 1
1 2 1
0 1 2
1 0 1
0 2 0
0 2 1
1 0 0
10 7
2 0 1
3 0 1
3 1 0
2 2 0
3 1 3
2 0 3
3 3 1
0 2 1
1 0 0
1 0 3
10 7
1 1 1
0 1 1
2 2 1
0 2 1
2 1 0
2 1 1
0 0 0
2 0 0
1 0 1
0 2 2
10 2
0 2 1
0 2 2
3 0 1
0 3 1
1 0 1
1 3 0
2 2 3
2 0 3
2 3 3
3 0 2
10 9
3 1 3
0 3 1
2 0 3
0 3 3
2 1 0
3 1 0
1 2 1
0 1 0
0 2 1
3 0 2
10 7
1 2 2
2 3 1
1 3 3
1 2 1
0 2 1
3 2 2
3 2 1
0 1 2
1 0 0
0 1 1
10 9
1 1 1
2 0 2
2 2 1
0 1 0
0 2 1
1 2 2
1 2 1
0 2 0
0 0 2
2 2 2
10 3
1 0 0
2 0 1
2 0 2
1 2 1
0 1 1
1 1 1
1 1 2
2 2 1
0 0 2
0 2 1
10 8
2 1 3
0 3 3
3 2 2
3 2 1
2 3 3
3 2 0
3 1 0
2 0 2
3 1 3
1 3 3
10 6
1 2 2
2 0 1
2 1 1
0 2 1
0 0 2
1 0 0
2 2 0
2 0 2
1 2 0
0 0 1
10 7
3 1 2
2 2 2
2 0 2
3 0 1
2 1 2
3 0 2
1 2 1
1 1 3
0 2 3
0 0 3
10 2
0 0 2
1 0 0
2 1 2
2 0 1
0 2 0
1 1 1
0 0 0
0 1 0
0 2 1
0 0 1
10 3
0 2 1
0 0 2
2 2 1
2 2 0
0 1 0
0 1 1
1 2 2
1 2 1
1 1 2
1 0 2
10 2
1 0 2
2 1 1
0 2 0
1 1 2
2 2 2
2 0 2
2 1 2
2 2 1
0 1 2
1 0 0
10 9
0 0 2
1 1 0
0 2 2
2 2 1
2 1 0
1 0 2
2 2 0
0 1 2
0 0 1
0 2 0
10 7
1 0 3
0 2 3
2 3 1
0 0 3
3 3 3
1 2 1
2 1 2
1 2 2
0 1 3
3 2 2
10 8
1 0 1
0 0 1
0 1 1
1 0 2
0 2 2
0 1 0
2 0 1
2 1 0
1 2 0
0 2 0
10 8
1 1 2
1 2 2
1 0 0
2 2 2
0 2 2
1 0 2
2 1 1
1 2 1
0 0 2
1 0 1
10 6
0 1 1
0 2 1
1 0 2
1 2 1
1 1 1
0 1 0
1 0 0
1 0 1
0 2 2
0 2 0
10 4
1 2 2
0 0 1
1 0 2
0 1 0
0 1 2
1 1 0
1 0 1
1 1 2
2 2 1
0 0 0
10 8
1 3 2
0 2 2
1 2 0
2 0 3
1 0 2
3 1 3
1 3 3
2 2 3
1 3 1
0 0 1
10 9
1 1 0
2 1 1
2 1 2
2 0 0
0 1 1
0 1 2
0 2 2
0 1 0
0 2 1
0 0 0
10 7
3 0 1
1 3 2
2 2 0
1 2 1
1 1 3
0 3 1
3 2 2
0 0 2
3 1 2
3 3 0
10 5
2 2 0
0 2 0
1 2 0
1 3 2
3 0 1
1 2 3
0 3 3
2 0 3
1 1 0
1 3 0
10 7
1 0 0
2 1 1
0 1 2
0 0 2
2 1 2
2 1 0
1 1 2
1 1 0
1 2 0
2 0 2
10 5
1 3 3
1 1 1
3 1 3
0 2 2
0 3 3
2 1 2
3 0 2
0 1 0
2 2 1
3 2 1
10 8
3 1 2
3 3 2
0 2 3
3 0 3
3 3 0
2 3 2
2 1 3
3 2 0
0 2 0
0 3 2
10 5
0 0 2
0 2 1
1 1 1
1 0 1
0 1 2
1 1 0
1 2 0
1 1 2
2 1 1
2 0 2
10 5
0 1 0
1 0 0
0 0 3
1 2 3
0 2 2
3 3 1
2 2 0
1 2 0
3 0 1
0 3 1
10 3
2 1 0
0 0 0
1 0 2
1 1 1
1 1 0
1 2 0
0 1 1
2 0 2
2 2 0
1 1 2
10 2
1 0 1
1 2 1
2 0 1
1 2 2
0 2 0
2 1 0
2 2 1
2 1 1
2 2 2
0 1 1
10 6
3 2 1
3 3 0
2 1 3
0 0 0
1 3 1
1 3 2
0 1 0
3 1 2
1 2 0
2 2 3
10 3
3 2 3
2 3 2
1 0 2
2 2 1
3 3 2
0 1 0
3 1 0
1 3 1
1 1 0
3 0 2
10 9
1 3 1
0 3 1
3 2 1
1 1 0
2 2 1
0 2 0
0 0 3
3 1 0
3 0 1
2 0 3
10 3
2 0 2
2 1 1
1 1 1
2 0 1
3 2 2
0 2 2
1 3 1
2 1 3
3 0 3
1 0 2
10 7
3 1 1
0 1 3
1 2 1
0 0 2
0 3 3
1 3 2
3 1 0
0 2 2
3 1 2
3 0 2
10 8
0 2 2
0 0 2
1 2 1
2 1 2
1 1 1
1 1 0
2 0 2
2 0 1
1 0 2
1 2 0
10 8
2 0 1
0 0 0
0 0 2
1 2 1
0 1 1
2 2 1
2 0 2
2 1 1
0 2 0
1 2 2
10 4
1 1 0
2 0 0
1 2 2
1 2 0
0 0 1
1 1 2
0 1 0
0 0 0
0 1 2
2 2 2
10 3
0 2 3
0 1 0
3 1 2
2 0 3
3 1 1
2 1 1
1 3 2
2 3 0
0 2 0
0 1 2
10 6
1 1 3
1 0 0
3 0 2
1 2 0
0 3 1
0 0 0
3 0 3
2 0 2
2 3 0
2 1 0
10 4
2 3 3
3 1 0
1 0 2
1 3 1
3 1 2
2 3 2
3 2 2
3 3 3
1 1 2
0 2 1
10 6
3 0 1
3 1 3
1 1 2
2 1 1
3 0 0
3 2 2
3 2 1
1 0 1
2 1 2
2 3 3
10 6
2 2 2
2 1 2
0 1 2
2 0 1
0 2 0
0 2 2
0 1 1
0 1 0
1 1 2
2 1 1
10 7
0 1 0
1 0 2
1 1 2
1 0 0
0 1 2
2 0 2
1 1 1
2 2 1
1 2 0
2 1 2
10 2
0 1 2
2 2 1
2 0 0
1 2 2
1 2 1
0 2 0
0 1 1
2 2 0
0 2 2
0 2 1
10 6
0 1 2
1 2 1
1 0 0
3 0 1
1 1 0
3 2 2
2 2 3
3 2 3
3 0 0
3 3 2
10 4
3 0 1
0 1 2
2 2 0
1 1 2
1 0 0
1 2 1
1 2 2
0 0 1
0 2 2
0 0 2
10 9
2 2 3
0 1 3
1 1 3
0 1 1
2 0 1
0 2 2
3 3 0
3 3 3
2 1 3
3 3 2
10 8
0 1 1
3 1 1
1 0 1
3 0 2
3 1 2
3 3 0
2 0 0
1 1 1
0 2 1
2 2 2
10 4
0 1 2
2 1 0
1 1 1
0 1 1
1 0 1
2 1 2
1 0 0
2 1 1
2 2 2
2 0 2
10 6
1 0 0
0 2 1
2 0 2
1 0 2
1 0 1
1 2 2
0 1 0
2 2 0
0 1 2
1 1 2
10 4
1 1 1
2 1 0
1 2 0
0 2 2
2 0 0
0 2 0
1 2 2
2 2 1
0 1 2
1 2 1
10 2
3 0 3
0 3 2
2 0 2
3 2 0
1 0 2
1 1 0
0 2 1
1 2 3
0 0 1
0 2 0
10 8
3 0 1
2 1 1
3 3 3
2 1 2
3 0 3
1 0 1
1 2 1
3 2 2
3 1 2
2 2 2
10 2
2 1 0
1 2 0
0 0 2
2 1 1
0 1 1
0 0 0
1 2 1
1 1 0
2 0 1
0 1 2
10 8
0 1 2
0 2 1
1 0 0
2 2 1
1 2 2
1 2 0
2 2 2
0 2 2
0 0 2
2 0 1
10 5
3 1 3
1 3 3
0 1 2
2 1 3
2 3 2
1 0 1
0 2 2
2 0 1
1 0 2
0 3 2
10 8
2 1 1
1 1 0
1 2 2
1 2 0
0 1 1
0 0 1
1 0 0
1 2 1
0 2 2
0 2 0
10 9
3 1 2
3 2 1
3 0 1
1 0 3
1 0 2
3 0 0
2 0 0
0 1 2
2 0 1
1 0 1
10 3
1 1 3
0 0 2
0 1 2
1 2 0
2 2 2
0 2 3
2 1 3
3 1 1
1 1 2
1 2 3
10 7
2 2 2
1 1 0
1 2 2
2 1 0
2 0 2
0 2 0
1 1 1
0 0 2
0 1 0
2 0 1
10 2
0 0 2
1 2 1
0 1 1
0 1 0
2 0 2
2 2 2
0 0 0
1 1 2
2 0 0
2 2 1
10 6
2 1 2
0 2 2
1 1 1
1 1 0
1 0 1
1 2 1
1 2 0
2 2 2
2 0 1
0 1 0
10 9
0 0 2
1 1 2
2 2 1
1 0 2
0 2 0
0 2 2
1 1 0
2 0 0
1 0 1
2 1 2
10 5
1 2 0
0 2 0
0 0 2
2 2 2
1 1 1
0 1 2
1 1 0
2 2 0
2 1 1
1 2 2
10 6
0 1 0
0 2 1
3 1 0
1 1 0
1 3 2
0 1 3
1 1 2
1 2 2
2 3 1
2 2 1
10 8
2 0 0
1 0 1
0 2 1
1 0 0
2 0 1
1 0 2
0 0 1
2 2 0
0 1 0
1 1 1
10 6
1 1 0
2 0 1
1 1 2
2 0 0
1 1 1
0 1 1
0 0 1
0 1 0
2 2 0
0 2 1
10 8
1 3 2
1 2 0
2 2 2
1 1 1
2 1 2
2 2 1
2 3 0
3 1 3
1 1 3
0 3 2
10 3
0 0 2
1 2 1
0 2 0
1 1 1
1 0 0
2 1 1
1 1 2
1 0 1
0 1 1
0 1 2
10 5
0 2 1
0 0 2
2 3 1
3 1 2
2 3 3
3 1 1
1 3 1
2 2 0
2 0 2
3 3 1
10 8
0 1 1
2 0 1
1 2 2
1 0 1
0 0 1
0 2 2
0 1 2
2 2 0
0 0 0
2 1 2
10 3
2 2 0
2 0 0
1 1 0
0 2 2
2 0 1
0 1 2
2 2 1
1 1 1
2 1 0
0 2 0
10 6
1 2 1
1 0 0
2 0 1
1 2 2
1 1 0
2 2 2
2 1 1
2 2 1
2 0 0
0 0 0
10 4
0 0 1
2 3 1
2 2 3
1 0 3
3 0 1
2 2 2
2 3 3
3 1 1
0 0 2
1 0 0
10 5
0 3 2
1 0 1
0 3 0
2 0 0
3 1 3
1 3 0
0 2 2
0 1 0
2 1 0
2 3 1
10 4
0 2 0
2 0 3
3 1 1
0 3 0
3 1 3
1 2 1
2 2 0
3 2 2
2 3 2
3 2 1
10 6
1 1 1
1 0 2
1 1 2
2 2 1
2 1 1
2 0 2
0 1 1
2 1 0
0 2 0
2 2 0
10 7
3 1 3
1 2 3
2 3 2
0 0 1
0 3 2
1 1 3
0 0 2
1 2 1
3 2 1
0 3 3
10 7
1 1 3
3 2 1
1 3 2
2 2 1
0 2 3
3 0 1
3 2 3
2 3 1
2 2 2
1 1 0
10 4
0 1 1
2 2 2
2 2 1
2 1 1
2 2 0
0 0 2
0 0 0
1 0 1
2 0 1
1 1 1
10 5
0 0 0
1 1 2
0 1 0
2 2 2
1 1 0
1 0 0
1 2 0
0 1 2
2 0 0
2 1 1
10 8
2 1 2
1 0 1
1 0 2
2 2 0
0 2 0
1 0 0
0 0 1
0 2 2
2 0 2
2 1 0
10 4
0 1 2
1 0 0
2 2 2
2 1 0
1 2 1
1 0 1
1 1 0
1 1 1
0 1 0
0 2 2
10 2
1 2 2
3 1 0
1 0 0
3 1 1
3 3 0
2 0 1
2 3 3
2 3 0
2 2 2
2 3 1
10 8
0 0 2
2 3 2
2 2 2
3 3 1
2 1 3
1 2 3
3 0 2
0 2 2
3 1 2
1 0 2
10 7
1 2 1
1 1 0
1 0 2
3 0 2
2 3 0
1 1 1
3 3 0
2 0 0
3 1 2
3 0 3
10 2
0 0 2
0 1 0
0 2 1
2 2 0
2 1 0
1 0 1
0 2 0
2 0 2
1 2 1
2 0 0
10 7
1 0 2
1 2 0
0 0 0
0 0 2
0 2 1
0 1 1
2 1 1
2 1 2
1 2 2
2 2 0
10 3
0 3 2
1 3 0
3 0 1
0 2 1
2 1 0
2 3 2
2 2 0
0 0 1
0 3 1
0 0 2
10 9
1 3 1
0 0 1
0 2 3
1 3 3
1 1 3
1 1 1
1 2 3
2 2 3
1 3 2
3 1 0
10 9
3 0 2
2 1 1
1 0 3
0 1 1
0 0 1
0 1 2
2 3 2
2 0 1
3 1 0
1 0 0
10 4
2 0 0
0 3 2
3 1 1
3 0 0
1 1 3
1 3 1
1 1 1
3 2 2
0 1 2
0 0 1
10 4
3 2 1
3 0 1
1 3 0
0 1 2
2 3 2
0 3 2
3 1 2
0 0 3
1 3 3
0 0 2
10 2
3 0 0
2 3 3
3 0 1
2 3 1
0 2 1
2 1 2
0 0 2
1 3 1
2 2 1
3 3 2
10 7
3 0 1
1 0 2
0 3 3
3 2 0
3 0 3
0 2 0
3 1 0
0 0 0
2 1 0
2 1 1
10 6
1 2 0
2 1 2
1 2 2
3 0 2
0 1 2
2 1 1
1 2 3
3 1 1
2 0 1
1 0 2
10 3
1 3 0
3 2 2
1 1 1
3 0 3
2 2 2
2 1 0
2 3 0
0 3 0
0 0 1
1 1 0
10 2
3 3 1
0 1 2
0 0 2
3 2 1
2 3 1
1 1 3
2 0 1
1 3 0
2 0 3
2 1 1
10 9
0 2 0
1 2 1
2 1 0
1 1 2
2 1 1
1 2 2
2 0 0
2 1 2
2 0 2
0 0 0
10 6
1 0 0
0 0 1
0 0 2
0 1 2
0 0 0
1 1 1
2 2 0
2 1 0
1 2 1
0 2 2
10 5
2 0 0
0 2 1
1 2 0
1 0 2
2 0 1
1 2 2
0 0 0
0 2 0
1 1 2
2 0 2
10 2
2 2 0
0 0 3
3 0 1
1 0 2
2 3 3
0 3 2
3 3 1
2 0 0
1 2 1
1 2 3
10 8
1 2 0
1 1 1
2 1 1
2 0 1
2 1 0
1 1 0
2 1 2
2 0 0
1 1 2
1 2 1
10 4
2 3 0
0 2 0
3 2 2
1 3 1
2 1 2
3 1 0
3 3 3
2 1 3
3 2 3
3 1 2
10 9
2 2 2
0 2 0
0 1 1
0 0 0
1 2 2
2 0 0
1 0 0
0 1 2
2 0 2
0 1 0
10 3
2 1 1
0 0 0
0 2 2
0 0 2
2 2 0
1 1 0
2 0 0
2 2 1
2 2 2
2 1 0
10 4
1 1 2
2 2 0
2 0 0
2 1 1
0 1 1
0 2 1
0 2 0
0 0 0
1 2 1
1 1 0
10 4
0 3 2
1 1 0
3 2 2
3 2 3
0 2 1
1 1 2
3 1 1
0 3 0
2 1 3
1 0 0
10 5
2 3 3
3 2 0
0 3 1
2 1 2
0 0 1
3 0 1
3 0 2
2 3 0
3 1 0
1 3 3
10 2
1 0 1
2 0 2
1 0 2
1 0 0
2 0 0
2 0 1
0 1 0
2 2 1
0 2 2
2 1 0
10 5
1 3 0
3 2 2
3 2 3
3 1 1
0 0 2
0 3 2
0 0 1
1 1 0
2 1 3
3 1 0
10 4
1 0 2
2 2 1
2 0 1
1 1 2
0 1 2
1 2 1
2 0 2
0 0 0
1 0 0
0 1 0
10 6
0 2 2
2 0 0
1 0 1
1 2 2
0 1 2
1 0 2
1 1 2
2 1 2
2 2 0
0 0 1
10 3
0 0 0
1 1 0
2 2 2
0 2 1
1 2 0
1 0 1
2 1 0
1 0 2
2 1 2
0 2 0
10 4
1 1 2
1 0 3
3 3 1
3 2 3
0 1 3
1 3 3
1 3 1
1 2 0
3 2 2
2 2 1
10 6
2 0 2
0 0 1
2 2 0
1 2 1
1 1 2
0 0 0
0 1 1
2 1 0
2 1 2
0 2 1
10 8
2 0 1
1 3 1
0 3 2
2 2 3
3 0 2
3 1 2
2 1 3
1 1 1
1 2 0
1 3 3
10 4
0 2 2
2 1 0
2 0 2
1 2 2
0 1 1
2 1 1
2 2 0
2 2 2
0 0 1
1 2 0
10 7
0 0 1
1 0 1
2 1 0
2 2 2
0 2 0
1 2 2
0 1 0
2 1 2
1 2 0
0 2 2
10 6
2 1 0
0 2 1
2 2 2
1 1 2
1 1 0
0 1 1
2 1 2
2 0 1
2 0 0
0 2 2
10 7
2 0 3
0 0 1
3 2 2
1 0 0
3 3 0
1 2 1
2 0 0
1 1 1
3 2 3
0 1 3
10 6
2 0 1
1 2 0
0 1 0
2 0 0
0 0 2
2 1 2
2 2 2
1 2 2
1 0 1
0 0 1
10 6
1 2 2
0 0 1
1 1 1
2 0 1
0 1 0
2 2 1
1 1 0
2 1 0
1 0 0
0 2 0
10 9
1 3 2
3 2 0
3 0 3
1 1 0
3 3 3
1 2 1
2 2 2
2 3 0
1 1 1
0 2 3
10 9
0 0 0
1 2 0
2 0 2
0 2 0
0 0 2
0 2 2
2 2 2
1 0 2
2 1 1
0 0 1
10 8
2 0 1
2 1 1
1 0 0
2 0 0
0 0 1
0 2 2
0 1 0
0 1 2
1 2 0
0 2 1
10 8
0 1 1
1 1 2
2 0 0
1 0 2
2 1 1
0 0 2
0 2 2
0 1 0
1 1 0
2 1 0
10 5
3 0 1
2 1 0
1 0 1
1 0 3
2 2 1
2 3 3
3 3 3
2 0 1
0 0 1
3 3 0
10 2
1 0 0
2 0 2
2 2 2
1 0 1
2 0 0
2 1 1
2 2 0
0 2 2
1 1 1
1 1 2
10 6
1 2 0
0 0 1
2 1 2
1 1 2
1 2 1
2 0 0
2 0 2
1 0 0
0 2 0
1 0 2
10 7
0 2 0
1 1 1
0 0 0
2 1 1
2 1 2
0 1 0
0 0 2
2 0 2
1 2 1
0 2 2
10 5
2 3 1
0 2 0
2 0 2
0 3 0
1 0 3
3 0 3
2 0 1
1 1 0
2 2 0
1 2 3
10 3
1 0 3
1 0 2
3 1 3
1 3 0
2 1 0
2 1 1
0 1 1
0 3 0
1 0 0
1 1 1
10 3
0 0 1
1 1 1
1 3 3
3 0 1
3 0 3
0 1 3
2 3 0
1 0 1
1 0 3
0 3 1
10 3
1 1 1
0 1 1
1 0 1
0 1 2
2 1 1
2 0 0
0 0 0
2 2 0
1 1 2
1 0 0
10 9
3 2 2
3 1 0
3 0 3
2 3 1
1 2 1
3 1 2
0 1 2
0 3 1
3 3 1
1 2 0
10 3
1 1 2
1 2 2
1 0 0
0 0 1
1 1 1
2 2 1
2 2 2
2 2 0
1 0 1
1 2 1
10 7
0 0 0
0 1 0
2 0 1
2 1 2
1 0 0
1 1 2
0 1 1
2 0 0
1 1 1
2 2 2
10 2
0 2 1
2 2 1
2 1 0
0 1 1
0 0 1
1 1 0
2 2 0
2 0 0
1 0 2
2 0 1
10 7
0 2 0
2 0 2
0 2 1
2 2 1
0 0 0
0 1 0
2 0 0
2 1 2
0 1 1
2 2 0
10 6
1 2 0
1 0 2
2 1 1
0 0 0
1 2 1
0 0 1
2 2 2
2 0 2
1 1 1
2 2 1
10 6
1 0 0
1 1 0
0 0 1
1 2 0
1 0 1
2 1 0
1 0 2
1 2 2
2 1 1
0 1 0
10 7
0 0 2
2 2 2
1 2 0
0 1 2
2 2 0
1 0 2
0 1 0
1 2 2
1 1 2
2 0 1
10 8
0 0 2
2 0 0
2 0 1
1 2 2
0 1 0
1 1 0
0 2 2
0 1 1
2 1 1
0 0 1
10 8
2 2 1
0 1 2
2 0 1
2 0 2
1 1 1
0 0 1
0 2 1
0 1 0
1 2 0
0 2 2
10 3
3 0 1
2 2 0
0 2 0
3 0 0
2 2 2
1 1 2
1 0 1
3 2 2
1 3 2
1 1 0
10 2
1 3 3
1 2 3
2 0 2
1 1 3
3 0 0
2 2 2
1 2 2
3 2 0
0 2 2
1 0 3
10 8
0 0 0
2 2 0
2 1 1
1 2 2
0 0 2
0 1 2
1 0 1
1 2 1
2 0 2
2 1 0
10 7
0 2 1
1 1 2
1 1 0
0 2 0
2 2 1
1 0 2
2 2 2
0 0 2
1 0 1
0 1 2
10 5
3 0 2
3 2 1
2 3 0
2 1 0
0 0 0
0 2 0
2 0 0
0 0 1
0 0 3
0 1 3
10 2
1 0 0
1 0 2
0 0 0
0 1 0
2 2 2
1 1 0
1 2 2
2 2 1
0 1 1
1 2 0
10 2
3 0 2
0 0 3
1 3 1
3 1 2
2 3 2
0 2 0
3 3 2
3 3 3
1 0 3
1 1 0
10 4
2 2 2
1 2 0
1 2 1
2 0 1
2 0 0
2 1 2
0 0 2
0 1 0
1 0 0
2 1 1
10 4
1 0 0
1 2 2
0 2 0
2 2 1
0 1 2
0 0 2
1 1 2
2 0 2
1 1 0
2 1 2
10 8
0 0 2
3 1 2
2 1 3
3 2 0
2 1 1
2 3 2
1 2 3
1 1 3
0 1 0
2 0 3
10 5
3 1 2
1 1 1
3 0 2
2 3 3
2 2 3
0 3 2
3 3 3
2 1 3
3 3 2
2 1 2
10 2
0 3 2
3 1 1
2 0 1
3 2 3
0 2 0
3 0 3
0 1 0
3 3 3
3 3 1
3 0 0
10 3
0 0 1
1 0 0
2 1 0
0 3 2
2 2 2
1 0 2
2 1 3
2 3 3
0 2 1
1 1 2
10 7
0 0 0
2 1 0
1 2 1
2 1 2
0 1 2
1 1 2
0 2 0
0 1 1
2 0 2
0 1 0
10 3
2 3 2
0 3 1
3 2 0
1 0 2
2 2 0
2 0 2
1 3 1
2 2 2
1 1 2
3 1 0
10 4
1 1 1
0 0 3
1 2 1
2 1 1
2 3 3
0 2 1
2 3 1
0 3 1
3 3 1
0 2 0
10 7
0 2 0
1 2 0
3 3 0
2 3 1
0 0 0
1 1 3
2 0 3
1 2 3
0 0 2
3 3 3
10 8
2 2 2
2 1 0
1 1 2
2 1 1
2 0 2
0 0 0
1 2 2
2 0 0
2 2 1
0 0 1
10 5
2 1 3
0 3 1
0 2 2
1 1 1
1 2 3
2 3 0
1 3 0
1 0 2
2 2 1
0 1 2
10 4
1 2 0
0 0 1
1 2 1
0 0 2
2 1 0
1 1 0
0 0 0
2 0 1
0 1 1
1 0 2
10 2
2 0 2
1 2 2
2 3 3
2 1 2
1 1 2
1 1 1
0 1 1
2 0 3
2 0 1
0 1 2
10 7
1 1 2
2 2 2
1 3 1
1 3 0
3 1 1
0 3 2
0 0 3
2 0 0
0 2 0
0 2 1
10 5
2 0 0
2 2 2
2 1 0
2 1 1
0 0 1
1 2 0
1 1 2
0 2 2
1 1 1
2 2 0
10 4
1 2 0
1 1 0
1 0 0
0 0 1
2 0 0
0 2 1
0 1 0
2 1 1
0 2 2
2 2 2
10 5
2 1 0
0 0 2
2 0 1
0 1 0
2 2 1
0 0 0
1 1 0
0 1 2
2 1 1
0 0 1
10 4
3 1 0
3 1 1
3 0 2
1 3 1
1 1 0
0 3 2
1 3 3
2 0 1
3 3 3
0 1 2
10 6
2 1 0
2 2 2
1 0 1
0 0 1
1 2 1
2 0 1
0 0 0
2 0 0
1 0 0
1 1 2
10 6
1 0 0
0 2 1
2 2 2
1 1 1
1 2 1
2 1 2
0 0 0
2 0 1
2 2 1
0 1 0
10 9
1 2 3
3 3 2
3 3 0
3 2 2
2 1 2
1 1 2
3 1 2
0 1 2
2 0 3
3 3 3
10 8
2 0 0
1 1 2
2 3 1
3 0 1
0 1 1
0 0 0
0 3 2
3 1 2
0 0 1
3 2 1
10 5
2 0 2
1 0 0
1 2 2
0 0 3
2 1 0
3 3 3
3 1 2
2 3 2
1 1 1
2 2 1
10 5
2 3 2
2 3 0
2 3 3
1 0 2
2 1 2
1 3 0
3 2 1
2 2 1
2 0 3
0 3 0
10 9
2 1 0
2 0 1
3 0 1
1 2 1
3 0 0
1 2 0
3 2 2
3 1 3
0 1 0
0 2 1
10 2
2 1 1
1 2 1
2 1 0
2 0 2
0 1 0
1 1 2
2 2 0
1 0 1
1 2 2
0 2 2
10 8
1 3 3
1 2 2
1 0 3
1 1 0
3 3 3
2 2 2
1 3 2
1 0 0
2 0 2
3 3 1
10 7
0 0 0
2 0 2
2 2 2
1 2 0
0 1 0
0 0 1
1 0 1
2 1 1
2 2 0
0 0 2
10 5
0 3 3
0 0 0
3 0 0
3 3 2
2 3 1
3 2 2
2 3 2
2 0 3
1 3 3
2 2 2
10 8
3 0 2
3 1 3
0 1 2
3 2 1
2 3 3
3 1 0
1 0 1
1 0 3
2 1 3
0 3 2
10 6
1 0 2
1 1 2
2 0 1
1 0 0
2 2 1
2 2 0
2 1 0
1 2 2
1 2 1
1 0 1
10 7
1 1 0
0 0 3
3 3 1
2 1 1
1 1 2
1 0 2
0 1 2
3 1 2
2 0 1
1 1 3
10 8
1 1 0
0 2 2
1 0 1
2 0 1
0 1 1
0 0 0
1 1 2
2 2 2
2 0 0
0 1 2
10 4
1 1 2
2 1 2
0 0 2
3 1 0
2 2 2
2 0 2
3 0 0
1 3 0
1 0 1
2 2 3
10 7
1 3 1
0 2 3
2 3 0
3 3 2
1 1 3
1 0 1
0 2 2
1 0 0
0 3 2
1 1 1
10 8
0 0 2
0 2 0
2 2 0
0 0 0
2 1 1
1 0 0
2 0 1
2 2 1
2 0 0
1 1 1
10 9
2 0 0
2 0 1
1 1 2
0 1 2
0 2 0
2 2 0
0 0 0
2 1 2
1 0 2
1 2 0
10 6
2 1 2
1 0 1
0 0 1
2 1 0
1 2 0
2 2 0
2 2 2
0 2 0
0 0 2
1 0 2
10 8
0 0 2
2 2 0
0 0 1
1 0 0
2 1 0
0 1 2
2 2 1
2 0 2
1 1 0
2 1 1
10 2
1 1 0
0 2 2
0 0 1
0 2 0
2 1 0
0 1 1
1 2 1
0 2 1
0 0 2
0 1 0
10 4
0 2 2
2 2 1
1 2 2
0 0 2
2 1 1
1 2 0
0 1 2
2 1 0
0 0 0
0 2 0
10 5
1 0 1
0 0 0
0 1 1
0 2 2
2 2 1
2 0 1
1 2 1
2 1 0
0 1 0
0 1 2
10 5
3 1 1
1 3 3
2 2 3
1 0 0
0 3 2
0 1 3
3 2 0
0 3 0
2 0 1
1 1 3
10 9
0 1 2
1 0 1
0 2 1
2 2 2
0 0 2
0 2 0
1 2 0
2 2 0
2 2 1
0 2 2
10 8
0 0 0
2 3 0
2 3 3
1 3 3
1 2 1
3 0 3
1 3 1
0 2 2
0 0 2
3 0 0
10 4
1 1 0
1 0 2
2 2 2
2 1 1
1 2 2
2 2 1
0 1 1
0 2 1
1 2 0
2 0 0
10 4
1 2 1
0 2 0
0 0 0
2 0 1
2 2 0
1 2 0
0 1 2
1 0 1
1 0 0
1 1 2
10 4
1 2 1
1 0 0
0 1 2
3 2 3
0 2 3
1 1 1
3 2 2
1 3 3
2 1 3
1 0 3
10 6
0 0 2
2 0 1
2 2 1
0 2 1
2 2 0
2 0 0
1 0 0
1 1 2
0 2 0
1 2 1
10 6
0 0 1
0 2 3
1 0 0
2 1 1
3 3 3
0 1 2
2 1 3
0 1 3
1 3 0
2 0 3
10 2
1 2 2
1 2 1
2 2 1
2 1 2
1 2 0
1 1 1
2 0 1
2 0 2
1 1 2
0 1 2
10 5
0 1 0
3 2 2
3 1 3
1 3 0
1 0 2
0 2 2
3 0 1
0 0 2
2 0 3
1 0 0
10 2
3 0 3
0 0 3
1 2 3
3 0 2
2 2 1
2 1 3
3 2 2
3 3 2
2 0 2
1 2 1
10 3
2 2 2
1 0 0
0 2 0
1 2 1
2 2 1
0 0 2
0 1 1
1 1 0
2 0 2
2 1 2
10 8
0 2 2
1 0 2
2 1 0
1 0 1
0 0 2
0 1 0
0 0 0
1 1 0
2 2 2
1 2 0
10 8
1 1 0
1 1 1
0 1 0
0 1 1
1 2 2
0 0 1
2 0 2
2 2 1
2 2 2
2 1 1
10 8
2 2 0
2 1 1
0 0 0
1 0 3
3 0 0
2 1 2
3 3 0
1 2 0
1 2 3
0 0 3
10 5
0 0 0
1 2 1
3 3 0
0 0 3
1 0 3
2 2 1
1 2 0
1 3 1
0 1 0
2 3 2
10 9
1 0 2
1 2 1
1 1 0
0 2 2
2 0 2
0 2 1
2 1 1
0 0 0
2 0 0
2 1 2
10 9
0 1 1
2 2 3
0 3 0
0 0 2
1 3 1
0 2 1
0 2 3
2 0 1
0 0 3
0 3 2
10 8
1 0 0
3 1 3
1 3 3
0 1 2
0 2 0
3 1 0
0 1 1
0 1 0
3 1 2
2 3 1
10 7
1 1 2
2 2 2
0 0 1
1 2 1
0 1 2
2 1 1
2 2 1
2 0 1
2 1 2
2 2 0
10 4
2 1 1
1 1 1
2 2 2
1 2 0
0 1 1
0 1 0
1 0 0
0 0 2
1 0 1
1 2 1
10 7
0 3 2
0 2 2
0 2 0
3 1 1
3 2 3
0 3 3
1 2 0
0 0 1
0 0 3
2 1 0
10 2
0 0 0
2 0 1
1 2 2
2 2 2
1 2 1
0 1 0
1 0 0
1 1 2
0 0 2
1 1 1
10 9
1 3 0
3 2 2
0 2 2
2 2 3
0 1 1
2 1 1
2 1 3
1 2 2
0 1 2
1 1 3
10 6
0 2 1
0 0 2
2 1 0
2 2 1
0 0 1
1 1 2
0 0 0
2 1 2
0 2 2
0 2 0
10 3
2 1 2
2 1 1
1 1 1
2 1 0
0 0 2
2 0 2
0 2 2
1 0 2
1 0 0
1 0 1
10 4
0 1 0
0 0 1
2 0 1
1 2 0
1 1 1
1 0 0
0 0 2
1 2 1
0 0 0
0 1 2
10 4
2 2 0
2 0 0
0 0 2
2 1 0
0 1 2
0 1 1
1 2 1
2 0 1
1 2 2
1 1 2
10 4
3 3 2
0 0 2
1 0 0
1 3 1
2 2 2
0 2 3
1 2 2
0 3 2
3 1 3
0 1 1
10 4
0 2 2
2 2 0
1 0 0
2 2 1
0 1 0
0 2 0
1 1 0
1 2 2
2 2 2
1 0 1
10 8
1 1 0
1 1 1
0 1 0
2 0 1
2 0 2
0 1 2
2 1 0
2 1 1
1 2 2
0 0 1
10 6
0 2 0
2 1 2
0 1 0
1 0 1
2 0 0
2 0 2
0 1 2
1 2 2
2 2 0
2 0 1
10 6
1 2 2
3 2 2
0 2 0
1 0 2
2 2 0
0 1 0
3 0 1
3 1 3
2 3 1
1 0 3
10 9
2 1 2
1 1 1
0 0 1
1 0 1
0 2 2
2 2 0
1 2 1
1 1 2
2 2 1
2 1 0
10 3
2 0 0
1 1 0
0 0 0
0 0 2
0 0 1
0 2 1
0 1 2
1 0 0
2 0 1
1 2 1
10 5
1 0 2
2 2 1
1 1 0
1 2 0
0 2 2
0 2 0
1 1 1
1 0 1
2 2 2
0 0 1
10 9
2 0 1
0 1 1
0 0 1
2 0 0
1 2 1
2 0 2
0 2 1
2 1 0
2 2 2
1 0 0
10 4
0 2 1
1 0 0
2 0 0
2 2 2
1 1 0
2 1 1
0 1 0
1 1 1
0 2 0
0 0 0
10 6
3 1 1
2 2 2
0 3 1
3 2 3
0 2 3
3 2 1
1 0 0
2 1 0
1 1 2
3 3 3
10 8
0 0 1
2 1 2
1 0 0
2 0 1
0 1 1
2 2 1
1 0 1
0 1 0
2 0 0
0 2 1
10 4
1 2 2
2 0 0
0 1 2
1 1 1
0 0 2
2 2 2
0 2 0
0 1 0
2 1 1
0 0 1
10 8
0 1 0
1 2 3
0 2 1
1 0 3
3 1 3
1 1 2
2 1 2
2 3 0
0 0 1
2 3 2
10 4
1 3 3
1 0 1
0 1 1
0 1 0
0 3 3
3 3 3
1 0 3
1 2 3
2 2 1
2 1 2
10 6
1 1 0
1 3 0
0 1 1
2 2 3
0 3 1
1 2 3
3 3 1
2 1 0
3 0 1
0 2 1
10 4
2 0 0
2 3 1
1 0 0
3 2 0
1 0 3
3 3 1
3 1 3
3 0 0
3 3 0
1 3 1
10 5
0 1 2
1 1 2
1 1 1
0 1 0
2 2 1
1 2 0
2 2 2
2 1 1
0 1 1
1 1 0
10 6
1 3 2
2 0 1
2 1 1
0 2 3
3 3 0
0 2 2
3 0 3
3 1 2
3 1 3
1 0 0
10 4
1 2 2
1 2 3
3 0 2
3 0 0
1 1 1
1 1 3
2 3 0
0 3 2
1 1 2
0 0 1
10 7
0 0 1
2 0 0
1 0 1
0 2 2
0 0 0
1 1 2
2 2 2
0 1 2
2 2 0
2 1 1
10 5
2 1 0
2 1 1
0 3 1
0 0 3
1 3 1
2 1 3
0 0 2
3 1 3
1 2 3
0 2 0
10 4
0 0 0
2 1 2
1 2 2
0 0 1
0 2 0
2 1 0
0 2 1
1 2 1
0 0 2
2 2 0
10 2
2 3 0
1 2 0
0 1 1
0 2 3
1 1 3
2 1 0
3 1 1
0 0 2
3 3 1
1 3 3
10 5
2 0 3
2 1 1
0 3 2
0 3 3
2 2 0
2 2 3
0 2 1
1 0 1
0 0 2
1 3 2
10 4
1 2 0
2 0 0
0 2 1
2 1 2
1 2 1
2 0 1
1 1 0
2 2 0
2 0 2
2 2 2
10 2
2 1 0
1 2 0
0 1 0
2 0 2
1 1 2
1 1 0
0 1 2
2 2 0
1 0 2
0 0 2
10 4
0 0 0
1 2 2
0 2 1
1 0 0
2 2 2
2 0 2
1 2 0
2 1 1
2 1 0
2 2 0
10 9
3 2 3
3 0 2
2 0 0
3 3 3
1 3 0
3 1 1
0 3 1
1 1 2
0 1 2
2 1 1
10 8
0 2 1
1 2 1
2 0 2
0 1 0
2 1 2
0 0 0
1 0 2
2 1 0
0 1 2
1 0 0
10 9
0 1 0
1 2 0
1 2 2
0 0 0
0 2 0
0 2 2
1 1 0
2 0 1
1 1 1
2 2 2
10 5
3 2 2
0 2 2
1 1 1
2 0 3
0 0 2
2 1 2
1 2 1
0 2 3
2 3 0
1 0 3
10 4
0 3 3
2 2 2
2 0 1
1 1 2
1 1 0
3 2 0
2 0 0
1 3 0
1 2 3
1 2 0
10 7
3 2 2
3 2 1
0 0 0
0 3 0
0 0 2
3 2 0
1 0 2
0 1 1
2 1 2
0 1 2
10 5
1 1 3
2 3 1
3 2 3
3 2 0
3 1 1
3 3 0
1 2 1
0 0 1
2 2 2
2 2 1
10 2
0 0 3
0 3 1
0 1 2
3 0 3
3 3 2
1 0 2
1 0 3
3 1 2
3 1 1
1 1 1
10 4
2 0 0
1 0 0
1 2 0
1 2 1
2 1 0
0 2 2
1 2 2
0 0 2
0 2 1
0 2 0
10 4
1 2 0
1 2 2
2 0 2
0 0 1
1 0 2
1 0 1
0 2 0
2 0 1
2 1 2
0 0 2
10 6
0 1 2
1 2 0
2 1 3
2 1 0
1 0 0
2 2 0
0 2 2
0 2 0
1 3 3
0 2 3
10 6
3 0 0
2 2 0
2 1 2
0 2 3
3 3 1
0 0 2
0 1 3
1 0 1
2 2 1
1 0 3
10 9
2 2 2
0 2 1
2 1 1
2 0 0
1 0 1
0 0 1
1 1 1
1 0 2
0 1 0
1 2 2
10 3
1 1 0
1 0 1
1 2 1
2 1 0
0 1 2
1 0 0
2 0 0
0 0 2
0 2 0
2 0 1
10 6
3 0 0
0 3 3
2 0 1
0 0 3
3 3 3
3 2 2
1 3 1
0 2 1
2 0 2
0 2 0
10 2
2 2 2
1 2 0
2 2 1
1 2 1
0 2 0
1 0 2
1 0 0
0 1 2
2 1 1
0 1 1
10 4
3 2 0
0 2 3
1 0 0
3 0 3
2 1 3
2 2 2
1 0 3
3 2 1
2 1 1
2 1 0
10 4
1 1 2
1 2 1
0 2 1
0 0 2
2 1 2
2 2 0
2 2 2
2 1 0
1 2 0
2 2 1
10 8
2 2 3
1 0 2
3 0 2
2 0 0
2 3 0
0 2 1
2 1 3
1 3 1
0 3 1
1 2 3
10 6
1 2 2
2 2 2
1 0 2
2 1 1
1 0 0
1 2 0
1 1 1
0 0 1
2 2 1
2 1 0
10 5
0 0 1
2 1 0
1 1 1
1 2 2
1 2 0
2 0 0
0 1 1
2 2 2
1 2 1
2 1 1
10 8
1 3 3
3 3 1
0 3 1
2 3 0
3 0 0
1 3 0
1 3 1
2 1 1
3 1 3
1 0 3
10 3
0 0 1
2 2 1
2 2 0
1 2 0
0 2 2
0 1 0
2 1 2
1 0 0
2 2 2
1 0 2
10 5
3 3 0
2 2 0
1 3 0
3 1 2
3 0 0
1 1 0
2 0 1
1 1 3
1 0 2
0 0 0
10 2
1 1 2
2 0 0
2 3 1
1 1 1
2 1 1
3 3 3
1 2 3
0 1 3
1 0 2
1 0 0
10 6
1 1 0
2 0 2
0 1 0
2 1 0
2 0 1
0 0 1
0 1 1
1 0 0
0 1 2
0 2 1
10 4
3 0 1
0 1 1
0 2 1
0 0 3
3 0 2
3 1 3
0 1 3
1 0 3
1 2 1
1 1 3
10 4
2 0 0
1 0 1
0 0 1
0 2 0
0 0 2
2 0 1
1 0 0
2 2 1
2 1 2
2 1 0
10 3
0 0 1
1 1 2
2 2 2
0 2 0
0 1 2
1 1 0
2 2 1
2 2 0
2 1 2
2 0 0
10 4
1 1 1
2 2 0
3 3 0
1 1 3
1 1 2
0 2 3
2 0 1
1 3 3
1 1 0
2 1 3
10 2
2 1 0
0 2 1
1 0 0
1 2 0
0 0 2
0 0 0
0 1 0
1 1 1
0 0 1
2 2 0
10 5
1 0 1
2 2 0
2 1 2
0 2 2
1 2 2
2 0 2
1 2 0
0 1 0
1 1 1
0 0 2
10 3
1 1 0
2 2 0
2 0 2
1 2 0
0 1 0
1 1 2
1 0 2
0 2 2
0 0 0
2 0 0
10 2
2 1 2
0 2 0
1 0 0
0 1 1
0 1 2
0 2 2
2 0 0
1 2 0
2 1 0
1 0 2
10 9
0 1 1
1 3 1
1 3 0
1 0 0
3 2 0
3 2 1
2 1 2
2 3 0
0 0 0
2 0 1
10 5
2 2 3
3 3 1
1 2 2
0 0 0
3 0 0
2 2 1
3 3 0
0 3 0
3 2 0
3 0 1
10 4
3 3 3
1 0 0
3 2 2
3 3 1
1 1 3
0 1 0
0 1 3
3 3 0
1 0 1
0 2 1
10 8
1 0 1
1 1 0
0 0 2
1 0 0
2 2 1
0 2 0
0 1 1
2 0 2
0 1 2
0 0 1
10 4
2 2 1
1 2 1
0 1 2
2 1 0
1 1 0
0 2 2
2 0 1
0 0 2
2 0 2
0 0 0
10 4
0 1 2
0 0 1
1 1 1
0 1 0
2 0 0
2 1 0
2 1 1
2 2 0
0 2 0
0 0 2
10 3
1 0 1
0 1 0
0 2 0
0 0 1
0 1 2
0 0 0
2 0 2
1 2 0
1 0 0
1 2 2
10 4
1 0 3
1 0 1
1 1 2
2 0 0
0 2 1
1 1 3
2 2 1
3 2 3
3 3 0
3 3 1
10 7
0 3 0
1 0 2
3 0 3
0 2 2
1 2 1
2 2 1
0 0 3
0 0 1
0 2 0
3 3 2
10 4
0 1 2
1 0 0
0 0 0
2 1 1
0 0 1
1 2 1
0 2 1
2 0 1
1 2 0
1 1 0
10 7
1 0 2
2 3 1
1 1 3
1 2 2
0 2 0
1 1 2
0 2 1
1 0 0
3 2 0
3 0 1
10 6
1 3 3
1 0 3
0 0 1
1 3 0
1 0 1
0 3 3
2 0 3
3 2 1
2 2 2
2 1 3
10 7
2 0 2
2 2 1
1 0 2
0 1 0
0 2 0
1 2 2
0 2 2
0 0 0
1 2 1
0 1 1
10 5
2 2 1
1 0 1
0 0 0
1 0 0
2 1 2
0 1 1
0 2 0
2 0 2
1 2 2
0 1 2
10 9
2 2 2
0 0 1
0 0 2
0 2 2
2 2 0
0 2 0
2 2 1
2 1 1
0 1 0
2 0 0
10 3
3 0 3
1 3 2
0 3 3
1 1 0
3 3 1
1 2 1
0 0 2
3 1 0
0 2 0
1 0 1
10 7
1 2 2
0 2 3
2 2 2
2 0 2
0 2 2
2 3 0
0 0 1
2 2 3
0 3 1
2 3 1
10 6
2 1 0
2 2 0
1 0 1
0 2 0
1 0 2
1 1 0
0 2 2
2 2 2
2 1 2
1 0 0
10 3
0 0 0
2 0 0
1 0 0
0 0 2
0 2 0
1 2 1
2 2 1
0 1 1
1 2 2
2 1 1
10 7
2 1 3
1 1 2
0 2 0
2 2 2
3 0 2
2 3 2
2 2 1
0 2 2
2 0 1
0 3 2
10 7
2 0 0
1 1 0
0 0 0
2 2 1
1 2 2
1 0 2
2 1 1
0 2 0
2 2 0
0 0 1
10 7
0 0 1
2 2 1
2 1 1
0 1 1
1 0 1
0 2 1
0 2 0
1 1 1
2 0 2
0 2 2
10 3
0 0 3
2 3 0
0 1 1
0 0 1
1 0 0
0 1 3
3 2 0
2 1 0
3 3 1
3 2 3
10 9
3 3 3
0 2 1
0 3 0
2 2 2
1 1 2
1 1 0
0 2 3
3 0 1
1 3 3
0 1 2
10 7
1 2 1
0 0 1
2 1 2
0 2 1
2 0 0
1 2 0
2 2 2
1 0 0
0 1 0
1 0 1
10 6
1 1 1
1 0 0
0 2 0
2 0 0
0 0 0
1 1 2
0 0 2
2 2 0
2 1 1
0 1 2
10 4
1 2 1
1 1 3
2 1 1
1 0 1
2 3 1
3 2 3
0 1 0
0 1 3
3 1 0
3 1 1
10 7
0 0 2
3 3 3
0 0 1
2 3 1
3 2 2
2 3 3
2 0 2
0 0 0
0 1 0
1 0 1
10 3
0 2 1
0 1 0
1 2 3
1 3 3
1 1 3
3 0 1
1 2 0
2 3 3
3 1 2
3 2 0
10 3
3 3 3
1 1 0
2 2 0
0 0 2
3 3 1
2 2 2
3 0 1
1 2 1
0 1 2
0 3 2
10 4
3 3 0
3 3 1
0 2 0
2 3 3
3 1 2
0 1 0
0 3 1
2 0 0
1 3 3
0 1 1
10 5
0 0 2
1 2 2
2 2 2
1 2 1
1 1 0
0 2 2
0 1 2
0 0 0
0 1 1
1 1 1
10 3
2 1 0
0 3 2
2 3 3
2 2 1
2 3 0
1 3 1
3 0 0
0 0 2
0 3 1
0 3 3
10 6
2 2 1
2 0 2
1 0 0
0 1 0
2 0 1
1 1 2
0 0 2
1 2 1
0 2 2
0 2 0
10 3
0 1 0
2 0 1
0 3 2
3 3 3
0 2 0
1 1 1
1 0 0
2 3 0
1 2 1
3 2 2
10 9
1 2 2
3 0 1
2 2 3
3 2 1
0 3 0
1 1 2
1 2 1
3 2 2
3 1 1
1 0 1
10 3
2 3 0
3 2 3
1 0 3
3 3 3
0 1 1
2 2 0
0 3 0
0 2 3
3 3 2
3 1 1
10 5
1 1 2
2 2 1
1 2 1
1 3 2
2 3 0
3 2 3
2 0 2
3 0 1
3 0 2
0 1 2
10 3
2 2 2
0 1 1
0 0 1
1 2 1
0 2 1
0 1 2
2 1 2
2 1 0
1 0 2
2 0 0
10 6
0 1 1
1 3 1
3 3 3
0 2 2
2 3 0
2 3 1
1 1 3
2 0 1
0 3 1
3 0 0
10 8
0 1 0
3 1 3
2 1 1
0 2 3
1 3 3
0 0 0
3 2 1
2 3 3
3 0 2
0 0 1
10 5
1 1 3
3 0 3
2 3 0
0 2 3
3 0 1
3 0 0
1 2 3
0 1 0
3 2 2
0 3 1
10 9
0 0 0
1 2 0
2 2 2
0 1 1
2 1 2
2 0 1
0 2 1
0 0 2
2 0 0
0 0 1
10 3
1 2 0
1 0 1
0 0 2
2 0 2
1 2 1
1 1 1
2 1 0
1 2 2
2 2 1
0 1 0
10 8
1 0 2
0 1 2
0 2 1
2 1 2
0 0 1
1 3 2
2 2 2
3 3 2
1 1 2
2 3 2
10 4
2 2 1
2 0 2
0 2 2
2 2 2
2 1 0
1 0 0
0 1 2
1 2 2
1 1 1
2 1 1
10 4
0 1 3
0 1 1
0 2 3
2 1 2
0 3 2
3 0 1
0 3 0
2 3 0
0 2 2
3 2 3
10 4
2 1 0
2 1 1
0 1 1
0 2 0
3 0 1
0 3 1
2 2 2
3 2 2
0 2 2
1 1 1
10 7
1 1 2
1 2 2
2 0 0
0 2 0
1 1 0
2 0 2
2 2 1
0 2 2
0 0 0
2 0 1
10 3
0 0 1
2 3 2
3 2 1
1 2 1
0 1 1
3 3 1
1 0 3
3 0 1
3 1 3
0 0 3
10 7
2 0 0
1 1 0
2 2 0
0 2 2
0 0 2
2 1 2
1 0 0
1 1 2
0 0 1
2 1 1
10 7
2 0 2
0 1 1
0 2 0
2 2 2
2 1 2
1 2 1
1 0 1
0 0 1
2 0 1
0 2 1
10 5
0 2 2
3 2 1
0 1 3
2 1 1
1 3 2
3 1 2
0 3 0
1 3 0
0 0 0
2 0 1
10 9
0 0 0
1 2 1
0 2 2
1 0 1
1 0 0
0 1 0
1 1 1
0 1 1
2 2 2
2 1 0
10 8
0 0 0
1 2 1
2 2 0
1 0 1
2 1 2
2 2 2
0 1 1
2 1 1
2 0 2
0 2 0
10 3
0 0 1
1 1 0
2 1 0
2 0 1
0 1 2
2 1 2
0 1 0
2 2 1
2 0 0
1 2 2
10 5
0 0 3
2 1 0
3 1 3
0 3 2
1 0 1
3 1 1
2 1 1
3 0 2
1 1 0
2 0 0
10 5
2 2 1
0 0 1
0 1 2
0 0 0
1 2 2
1 2 0
2 0 1
2 1 1
1 0 0
0 2 0
10 7
0 0 2
0 2 0
2 2 1
2 2 2
1 1 2
1 2 0
2 1 1
1 0 0
2 1 2
2 2 0
10 6
1 2 2
2 2 1
1 0 0
2 1 2
0 2 0
0 2 2
0 2 1
0 0 1
2 0 1
1 2 0
10 2
0 2 0
3 0 0
0 2 3
1 3 2
2 2 0
0 3 1
2 1 2
1 1 2
1 0 2
1 3 1
10 9
0 1 1
2 0 0
0 0 1
2 1 1
0 2 1
1 1 1
2 1 0
2 2 1
2 0 1
1 0 2
10 8
2 0 1
2 2 0
1 1 2
0 0 2
1 2 1
0 0 1
2 1 0
0 2 2
1 2 2
0 1 0
10 5
3 1 3
1 3 1
0 0 1
0 1 3
3 1 1
0 2 1
0 2 2
2 1 2
3 2 1
2 1 1
10 6
0 0 2
2 0 1
2 1 0
0 1 1
2 0 0
1 1 0
2 2 1
2 2 0
0 0 0
0 1 0
10 4
1 2 2
2 2 0
0 2 1
1 1 2
1 2 0
2 0 0
0 1 1
1 0 2
0 0 2
2 1 0
10 3
2 1 1
1 1 1
2 0 1
2 1 0
0 2 0
0 1 0
0 2 2
2 2 2
0 1 1
1 2 2
10 8
2 2 1
1 1 0
0 0 2
3 0 2
3 0 1
0 1 3
1 0 2
3 3 3
0 3 2
2 2 3
10 8
2 3 3
0 2 0
2 0 0
1 2 3
0 2 3
1 2 2
0 0 3
0 3 1
3 3 2
2 3 1
10 5
2 1 1
1 2 2
2 0 0
1 2 1
0 1 1
1 0 2
0 2 1
0 1 0
2 0 1
1 2 0
10 7
1 3 1
3 3 3
1 2 0
3 0 2
3 1 1
2 2 3
0 3 1
3 2 2
0 0 0
0 0 1
10 7
2 0 0
2 3 0
0 3 2
0 2 0
3 3 3
0 0 1
3 3 1
0 1 0
3 2 3
3 1 0
10 8
0 1 2
0 0 0
1 1 0
2 0 0
1 2 1
2 1 0
2 0 1
2 1 2
2 0 2
2 2 1
10 9
1 0 0
1 2 0
2 1 2
0 2 2
0 1 1
1 1 0
1 1 2
1 1 1
2 2 1
1 0 1
10 3
1 2 1
2 2 2
2 0 0
1 1 1
2 1 2
0 2 1
1 2 2
2 0 2
0 2 2
0 0 1
10 7
0 3 3
3 1 1
0 3 2
2 0 1
0 0 1
1 0 1
2 0 0
1 3 3
3 3 2
1 1 3
10 8
2 0 0
2 1 0
3 3 0
3 3 1
2 1 3
0 0 0
2 3 0
3 0 0
3 1 3
1 2 1
10 7
0 3 3
3 3 0
2 1 2
1 2 0
3 2 2
1 3 0
1 3 3
0 0 0
0 3 2
3 1 2
10 2
0 3 0
2 3 3
3 1 3
1 0 0
3 2 3
1 0 3
0 2 3
2 1 2
2 1 3
1 0 2
10 2
1 2 0
1 1 2
1 3 0
1 2 1
3 1 2
2 1 0
3 3 2
0 0 2
1 1 0
1 3 1
10 9
1 2 0
0 2 0
3 0 3
2 3 3
0 3 3
0 3 2
1 3 3
2 3 0
2 3 1
2 0 3
10 6
2 1 0
0 2 0
2 0 3
0 2 1
1 2 2
2 1 2
0 1 1
1 2 1
1 0 3
0 1 3
10 6
2 1 1
0 2 1
1 2 0
2 2 2
0 1 2
1 2 1
1 0 1
0 2 2
2 2 0
0 1 1
10 4
1 0 1
0 1 2
0 0 2
1 1 2
1 1 0
2 1 2
2 1 1
1 1 1
0 1 1
0 1 0
10 7
2 1 2
2 0 1
0 1 2
1 2 2
2 1 1
1 0 1
1 1 0
0 2 1
0 0 2
0 1 0
10 6
2 2 1
1 0 1
1 2 0
2 0 2
0 0 0
0 0 2
2 0 0
0 2 0
0 2 1
2 2 2
10 3
0 0 2
3 2 2
1 1 0
0 3 2
2 1 2
0 3 1
1 2 1
0 3 0
1 0 1
3 1 3
10 3
3 1 2
3 0 0
2 1 3
3 3 0
1 3 3
3 3 1
0 1 2
1 2 0
2 2 3
2 3 2
10 9
2 0 0
0 0 2
0 1 0
2 1 2
2 0 1
2 2 2
1 2 0
0 2 1
1 0 1
0 0 0
10 5
2 3 3
3 1 2
1 0 3
3 3 2
0 3 3
2 3 0
3 2 1
2 2 3
3 3 1
2 1 1
10 8
0 2 0
0 2 1
2 3 1
1 0 2
3 3 2
3 0 1
3 1 3
3 2 1
3 3 1
1 3 3
10 6
0 0 2
2 2 0
0 0 0
1 0 1
1 0 2
1 2 1
2 1 0
1 2 0
1 1 1
1 1 2
10 6
1 0 0
1 0 1
0 1 1
0 1 2
0 2 0
2 0 2
1 0 2
1 1 2
0 0 0
2 0 1
10 5
1 2 3
0 2 3
0 1 1
2 0 3
3 1 3
3 0 2
1 3 1
0 3 0
1 0 1
0 3 3
10 6
1 1 0
3 1 3
3 2 1
2 2 2
3 0 0
1 2 2
2 1 1
3 3 2
0 1 1
3 0 2
10 9
0 1 1
1 0 2
2 1 0
1 1 0
1 2 0
2 0 2
2 1 2
0 1 2
1 0 1
0 1 0
10 7
1 2 2
2 0 1
2 0 2
1 2 1
1 1 0
0 0 1
0 1 0
1 0 1
2 2 0
0 2 2
10 3
2 0 1
0 2 1
0 2 2
0 2 0
0 0 1
1 2 0
1 2 1
2 1 0
2 2 1
1 0 2
10 8
2 0 1
1 1 1
1 1 0
3 0 1
1 2 2
3 2 1
3 1 2
2 2 3
2 2 0
2 2 1
10 5
3 1 1
2 2 0
1 0 1
1 2 3
3 2 3
3 3 2
0 3 3
2 1 1
3 3 0
2 1 0
10 6
1 2 0
0 0 2
1 2 1
1 0 2
0 1 1
0 1 0
1 0 0
1 0 1
1 1 0
2 2 1
10 4
1 0 2
3 3 0
0 2 1
2 0 0
2 2 0
1 0 1
1 2 2
1 2 1
1 2 0
0 2 3
10 4
0 0 3
1 2 1
0 2 0
0 3 3
0 0 2
2 3 0
1 2 2
0 1 0
1 3 3
1 3 1
10 2
1 1 0
0 0 2
1 2 1
0 1 2
2 1 1
2 1 0
2 0 0
0 0 1
2 0 1
1 0 2
10 5
1 0 1
2 1 0
0 1 2
2 1 1
1 0 2
2 0 1
0 1 0
0 0 1
1 2 0
2 2 0
10 4
1 0 0
1 1 0
0 2 0
1 0 1
2 0 0
2 2 0
0 1 1
0 0 2
1 2 1
0 2 2
10 5
0 0 2
2 3 2
0 0 0
0 3 0
2 3 3
1 3 0
2 1 0
2 2 0
0 3 3
2 1 1
10 3
1 1 3
1 3 2
1 1 1
3 2 2
3 0 0
1 2 0
1 0 1
2 2 0
1 0 2
2 3 0
10 7
0 2 1
0 3 0
1 2 2
1 0 1
1 2 3
3 1 3
2 3 1
1 2 0
0 3 1
1 2 1
10 8
0 2 0
0 0 1
1 2 2
0 2 1
0 0 0
1 0 1
0 2 2
0 0 2
0 1 1
1 2 0
10 8
1 0 1
2 1 1
0 1 0
1 2 1
2 1 0
1 1 1
0 2 2
2 0 1
0 0 1
0 0 0
10 8
2 0 2
2 1 0
1 0 0
1 1 2
0 0 2
1 0 2
0 2 0
1 2 0
0 0 1
2 1 1
10 2
1 0 0
2 2 1
1 1 2
0 1 0
0 1 2
0 1 1
2 1 2
1 1 0
0 0 2
2 2 0
10 9
2 0 0
0 1 1
0 1 0
1 0 0
0 2 1
2 1 2
0 2 0
0 0 2
1 0 1
1 1 1
10 5
0 1 2
2 1 0
1 1 2
0 1 0
1 0 2
1 2 0
2 0 2
0 2 1
1 2 2
0 2 2
10 7
0 3 1
1 2 1
2 2 2
3 3 1
2 1 1
3 1 2
1 3 0
0 3 0
2 1 2
0 3 3
10 8
1 3 2
1 3 0
0 0 2
1 3 3
0 2 3
2 3 3
2 0 3
1 2 0
3 1 0
2 2 1
10 6
2 0 2
1 0 1
0 2 1
2 2 1
2 0 1
1 2 0
2 0 0
0 0 0
2 1 0
0 1 1
10 8
1 2 1
2 0 0
2 1 0
1 0 2
0 0 2
2 1 2
2 2 1
1 1 0
1 1 1
0 0 0
10 9
0 3 1
3 2 3
2 1 2
0 0 3
3 3 3
3 2 2
0 0 2
3 1 1
2 1 3
2 2 1
10 5
1 1 3
1 1 2
2 0 2
0 3 3
0 2 3
2 2 0
2 3 1
3 3 1
3 2 1
0 2 0
10 5
2 2 1
1 0 0
3 2 3
0 0 2
1 1 0
0 3 2
2 1 2
1 3 3
0 0 0
0 1 1
10 5
2 2 0
1 1 3
3 2 3
2 1 0
0 1 1
1 0 0
1 1 2
1 1 1
3 2 1
2 3 0
10 4
2 2 2
0 1 2
2 1 0
2 2 0
2 0 2
0 0 1
2 0 1
2 1 1
0 0 0
2 2 1
10 9
3 3 2
2 1 3
2 2 2
3 0 2
1 1 3
0 3 1
3 2 0
0 2 1
1 0 3
0 2 2
10 5
0 2 1
1 0 0
2 1 2
1 2 0
0 2 2
0 2 0
1 1 0
1 0 1
2 1 1
2 2 1
10 7
1 1 0
0 0 2
0 1 1
0 2 1
1 1 1
1 1 2
2 1 1
1 0 2
1 0 0
1 2 1
10 8
1 1 2
1 2 0
1 0 2
0 1 0
0 2 0
2 1 1
1 2 1
2 1 2
1 1 1
2 2 0
10 2
0 0 1
1 3 2
3 3 2
1 1 2
2 0 1
1 0 0
2 3 0
3 3 3
2 2 3
0 3 3
10 9
2 0 0
2 3 3
3 1 2
2 1 0
0 3 2
2 1 3
0 0 3
0 2 3
1 3 3
1 1 1
10 5
2 2 0
1 1 0
0 1 1
2 1 1
2 0 1
0 0 2
2 0 2
0 0 1
1 0 2
0 0 0
10 6
2 1 2
1 1 1
1 2 1
0 2 2
1 2 0
2 1 1
0 1 0
1 2 2
2 0 2
2 0 1
10 6
3 2 1
3 0 3
3 1 2
1 3 2
0 3 0
1 0 1
1 1 0
2 1 3
1 0 3
3 3 1
10 3
2 0 0
1 0 0
2 1 2
2 1 0
1 1 0
0 0 0
0 2 1
0 2 2
2 1 1
2 0 2
10 5
1 1 2
1 2 2
2 0 2
0 1 2
0 2 2
1 2 1
2 1 1
2 2 0
1 1 0
2 2 2
10 4
1 0 2
2 2 0
0 1 0
1 0 0
0 2 0
1 1 0
1 1 2
1 1 1
0 0 2
0 2 2
10 7
0 2 1
2 1 0
0 2 2
2 0 2
1 1 0
1 1 2
2 1 2
0 1 0
1 0 1
2 2 1
10 4
3 3 0
2 2 1
3 0 2
1 3 3
1 2 2
3 3 3
2 1 2
2 3 2
1 2 3
0 1 3
10 6
1 1 0
1 2 0
1 0 0
2 0 0
0 2 2
2 1 1
0 2 1
0 0 0
2 2 1
1 1 2
10 3
1 3 3
1 3 1
2 0 1
3 3 1
0 1 1
3 2 3
1 2 3
1 1 3
0 3 3
3 0 2
10 2
0 2 1
1 0 1
1 1 1
2 2 0
1 0 0
1 2 0
0 2 2
0 1 0
1 1 0
2 0 0
10 9
3 1 3
2 3 0
0 0 0
0 3 2
1 2 2
1 0 0
3 0 2
3 2 1
2 0 3
0 1 1
10 6
2 1 1
1 2 3
3 2 1
1 3 0
1 0 0
3 3 3
3 1 2
2 2 1
0 0 3
2 2 2
10 7
0 0 1
0 2 3
2 1 2
2 3 2
1 3 3
3 3 0
3 0 0
2 0 1
3 1 2
3 0 2
10 7
0 0 1
0 2 2
2 1 3
3 0 1
3 2 1
2 2 2
2 1 1
3 1 1
0 0 0
0 1 2
10 4
1 0 2
0 1 2
2 1 1
2 1 0
1 1 2
2 2 0
2 0 1
0 2 1
2 1 2
2 2 1
10 4
0 3 3
0 0 2
1 0 2
2 0 1
3 3 0
1 3 3
1 1 2
2 1 3
1 1 1
3 2 2
10 3
1 2 2
2 2 2
3 3 2
3 3 1
1 0 1
1 3 0
3 3 0
3 1 1
2 0 3
2 2 3
10 5
0 2 0
1 2 0
0 0 2
0 2 2
1 0 2
2 2 0
1 1 1
2 1 1
0 0 0
0 0 1
10 3
3 1 1
0 2 2
2 2 2
2 3 2
3 3 1
0 2 0
2 1 1
1 3 2
2 2 1
0 1 1
10 9
3 1 2
0 0 1
2 3 2
0 2 3
1 1 0
1 1 3
3 1 1
2 1 1
3 0 0
1 0 2
10 3
3 1 2
0 2 3
0 0 1
1 1 1
0 3 1
2 2 1
0 3 2
3 0 0
1 2 2
1 2 3
10 4
1 2 2
2 3 2
3 3 0
1 2 1
2 0 1
2 2 1
0 2 1
2 1 0
0 2 2
3 3 3
10 7
0 0 3
3 1 2
1 1 3
0 0 1
2 2 1
0 3 1
1 1 2
2 1 2
2 0 3
0 1 1
10 3
0 0 2
2 2 0
2 0 1
2 1 2
2 2 1
2 1 1
2 0 2
0 1 0
1 2 1
1 0 2
10 8
2 0 0
2 2 1
0 0 2
2 0 2
2 0 1
2 2 2
2 1 2
0 2 2
1 1 0
0 0 1
10 3
0 1 2
0 1 1
2 2 0
0 0 1
0 0 0
0 2 2
0 0 2
2 0 2
0 2 1
1 0 2
10 7
1 0 1
0 2 2
0 0 2
2 1 2
1 0 0
2 1 1
0 2 0
0 1 2
1 2 2
1 2 1
10 5
2 0 1
2 2 2
0 1 0
1 2 1
1 2 0
1 1 2
1 0 0
1 1 1
2 1 1
0 1 2
10 6
2 1 0
3 0 2
2 2 2
2 0 2
0 2 1
1 3 1
1 0 2
2 2 3
3 2 0
3 2 1
10 5
1 1 1
1 2 1
1 1 2
2 0 1
2 1 2
2 1 0
2 0 2
2 2 1
1 0 0
1 2 0
10 3
2 2 1
2 0 0
0 2 0
2 1 1
1 1 0
2 0 2
1 0 1
2 1 2
2 0 1
0 0 2
10 3
0 0 1
2 0 1
2 2 2
2 0 0
2 1 0
2 0 2
0 2 2
1 1 1
2 2 1
1 1 0
10 9
3 0 0
2 1 1
1 0 0
2 1 3
1 3 1
3 1 3
3 1 1
3 3 0
1 0 2
0 1 0
10 5
0 2 0
0 1 1
0 0 1
2 1 2
1 0 1
2 1 1
2 2 0
2 2 1
1 1 2
2 0 1
10 8
1 2 2
2 0 3
2 2 2
2 1 0
0 2 2
2 3 2
0 0 0
3 0 1
0 1 3
1 1 1
10 3
0 2 0
2 0 1
1 0 1
1 1 1
0 0 1
2 0 0
2 1 0
2 1 1
0 0 2
1 1 2
10 8
0 0 0
2 2 2
0 0 2
2 0 1
0 0 1
1 0 1
1 1 2
2 1 1
1 2 0
2 1 2
10 7
2 1 0
2 2 2
1 2 0
2 2 1
2 0 1
0 0 0
1 2 1
1 2 2
1 0 1
0 1 2
10 3
0 0 0
0 2 1
2 0 2
1 1 2
2 0 1
0 0 1
0 1 0
1 0 2
2 0 0
1 2 2
10 2
1 1 0
2 1 1
1 0 1
0 2 2
0 0 0
1 3 2
1 3 3
3 0 3
0 3 3
3 1 1
10 3
0 2 1
1 2 2
0 2 0
0 0 2
1 0 2
0 1 1
2 0 2
0 0 1
2 1 0
2 2 2
10 6
1 2 1
1 0 1
0 1 1
2 0 1
1 1 0
0 2 2
0 0 1
0 0 0
0 0 2
0 2 1
10 6
2 1 2
2 2 2
1 0 0
2 1 0
1 1 0
0 2 1
2 2 0
0 0 1
1 1 1
2 0 2
10 3
2 3 2
2 0 0
2 2 1
2 0 1
2 1 1
0 2 0
0 0 1
1 1 3
0 0 2
2 3 1
10 2
3 3 3
1 1 2
3 0 1
0 3 1
1 0 1
2 0 2
0 1 0
0 2 1
1 0 0
3 0 0
10 6
0 0 2
0 1 1
1 0 1
0 2 1
0 2 0
0 1 2
2 2 0
1 0 0
2 1 1
1 1 1
10 6
2 0 2
1 0 0
0 0 2
1 2 0
1 0 2
0 2 1
0 0 0
1 1 1
2 2 0
0 2 0
10 9
2 0 0
0 2 1
1 0 2
2 1 1
0 2 0
0 0 2
2 1 2
2 1 0
0 1 1
0 1 2
10 2
0 1 2
0 0 2
1 1 0
0 2 0
2 0 0
2 0 1
2 1 2
2 2 0
1 0 1
1 2 1
10 6
2 0 0
3 2 1
3 0 2
2 3 2
1 3 1
0 3 1
1 2 1
0 0 0
1 0 1
2 3 3
10 9
1 1 1
0 0 2
2 0 0
2 1 0
2 2 0
1 2 2
2 1 1
0 2 0
0 1 2
0 0 1
10 5
1 3 1
1 0 2
3 3 2
2 0 1
2 3 1
0 2 1
1 0 0
3 3 3
2 0 0
3 3 0
10 9
3 0 2
3 1 3
0 1 1
3 1 2
0 3 0
2 2 1
1 2 3
3 3 1
1 1 3
1 3 3
10 8
2 1 1
1 2 0
1 0 1
1 0 0
0 1 0
2 2 1
1 0 2
1 1 0
0 0 2
2 0 2
10 2
2 2 2
1 1 1
2 0 1
2 1 2
2 0 2
0 0 1
1 0 0
2 1 1
2 1 0
0 2 0
10 5
0 0 1
1 3 2
1 1 2
0 3 2
2 2 3
1 3 3
3 2 3
2 0 0
1 0 0
2 2 2
10 4
2 2 3
3 2 3
2 2 2
0 2 0
3 1 0
3 3 1
3 1 2
3 1 3
3 3 0
1 0 3
10 4
3 0 1
2 3 2
2 1 2
3 1 2
1 2 3
2 2 2
1 0 0
3 3 0
0 2 2
0 0 1
10 5
0 0 2
2 1 2
0 2 0
1 2 2
1 1 1
1 0 1
2 2 0
2 0 0
0 0 0
0 1 2
10 2
0 1 2
2 1 2
0 2 1
1 2 1
2 1 0
0 1 0
2 1 1
0 0 1
0 2 0
1 2 2
10 9
1 0 2
3 2 2
1 3 1
0 1 2
1 3 0
2 1 0
3 3 3
0 3 3
3 3 2
1 0 1
10 9
0 3 0
0 2 2
0 2 3
2 3 2
2 0 3
0 2 0
3 3 2
3 1 2
1 3 2
2 3 0
10 2
2 1 0
2 2 0
2 0 1
0 1 2
2 0 0
2 2 2
0 0 0
2 1 1
0 2 1
1 0 0
10 6
2 2 1
0 1 2
1 2 1
1 1 0
0 1 0
2 1 1
1 2 0
2 1 0
2 2 2
0 2 2
10 8
2 1 1
2 1 2
0 1 0
1 2 0
1 1 2
2 0 2
2 1 0
0 0 0
0 0 2
1 0 2
10 3
0 2 2
2 0 0
2 1 2
0 2 0
2 1 0
0 1 2
2 2 0
0 2 1
1 1 0
2 2 2
10 2
1 2 2
2 1 2
1 2 1
0 2 0
1 0 2
2 1 1
1 1 1
1 1 0
2 0 1
0 0 0
10 5
0 2 1
3 3 0
3 2 3
3 2 1
0 0 1
0 2 2
0 1 3
1 3 0
2 3 2
3 1 0
10 4
2 1 3
3 2 2
1 2 3
3 0 1
1 0 3
1 2 0
1 3 1
2 1 1
0 0 3
3 3 1
10 5
2 1 2
2 3 3
3 2 3
2 0 2
0 2 2
1 3 1
3 0 2
3 1 3
3 3 0
2 2 1
10 2
1 0 3
3 1 0
1 3 3
1 2 0
3 1 3
0 2 1
1 0 0
0 3 3
2 0 0
3 0 3
10 8
1 1 2
0 0 0
2 2 2
1 2 1
2 1 2
2 0 2
2 0 1
2 1 1
0 2 2
2 2 1
10 5
2 3 1
2 3 0
1 2 3
1 3 3
1 0 2
2 1 3
2 0 3
1 1 1
0 2 3
3 3 1
10 9
0 1 1
1 1 2
2 1 2
0 1 0
0 2 2
2 1 1
1 2 0
0 2 1
1 2 1
1 1 1
10 9
1 2 0
3 1 0
2 0 3
2 0 0
3 0 3
2 3 2
0 2 3
3 3 1
1 2 1
3 2 0
10 3
1 0 3
3 2 3
3 1 0
2 1 3
2 2 3
0 0 3
1 0 1
1 1 0
3 3 3
2 1 1
10 9
0 1 0
1 3 1
3 3 0
0 3 3
1 2 3
1 1 3
1 2 2
2 3 3
2 2 3
0 2 2
10 9
2 2 0
0 1 1
0 2 1
0 2 2
1 2 1
1 1 0
0 1 2
2 0 2
1 2 0
0 0 1
10 9
3 0 0
3 3 1
2 3 1
2 3 2
3 1 2
3 2 0
0 3 3
2 1 0
1 2 3
3 3 0
10 9
2 3 0
0 3 0
2 2 1
1 2 2
2 0 0
3 0 3
2 1 3
0 0 2
0 1 0
3 1 0
10 5
0 1 2
0 0 1
1 0 1
2 0 0
0 1 0
0 2 2
2 2 1
1 1 1
1 0 2
1 0 0
10 8
0 2 1
2 2 1
1 0 2
2 1 1
1 0 1
0 0 0
0 1 2
0 1 0
1 2 1
0 0 2
10 7
0 2 0
2 0 0
2 1 1
1 0 0
0 2 2
0 2 1
0 0 0
2 0 1
1 2 1
2 2 0
10 2
1 2 2
0 0 2
2 2 2
1 2 1
1 1 2
2 1 1
0 2 0
1 2 0
1 1 0
0 2 2
10 9
3 2 0
2 0 3
0 1 1
3 1 1
1 2 3
1 0 3
2 2 2
2 2 0
2 3 0
3 3 2
10 7
1 1 0
2 0 2
2 2 0
1 0 0
2 1 0
1 0 1
0 2 2
0 2 0
1 1 1
2 0 0
10 5
1 0 1
0 3 0
2 1 1
3 2 1
1 0 3
3 0 3
1 1 0
0 3 2
3 0 0
0 3 3
10 7
0 2 1
1 0 2
2 2 2
1 2 2
1 1 1
2 2 0
0 0 1
1 2 1
0 0 2
2 1 2
10 9
1 2 0
1 2 1
0 0 3
1 1 0
2 1 3
1 3 0
2 1 0
0 1 0
3 0 1
2 3 2
10 3
0 3 3
1 0 3
2 2 1
0 2 3
1 1 0
3 0 3
1 1 1
1 2 3
1 3 3
2 3 3
10 4
0 0 0
0 0 1
0 1 2
2 1 1
2 2 1
0 2 2
1 2 1
1 2 2
2 0 0
2 0 1
10 7
0 3 2
0 2 3
1 2 0
3 2 3
1 2 3
3 2 1
3 0 0
2 0 1
1 0 0
2 3 0
10 4
1 1 3
1 3 1
1 3 0
3 1 0
1 0 0
1 2 0
2 2 0
1 0 1
3 1 3
0 1 2
10 2
1 3 0
0 1 2
0 3 3
3 1 2
2 1 3
1 3 3
3 2 2
2 0 0
3 1 0
0 0 3
10 8
1 1 0
0 1 1
0 0 0
1 0 0
2 2 2
0 0 1
1 0 2
0 1 2
0 2 0
2 2 1
10 8
1 0 0
1 2 2
2 0 2
0 0 1
2 2 2
1 1 1
0 0 0
2 1 0
1 2 0
1 2 1
10 9
0 2 2
0 2 1
0 0 0
2 2 0
0 2 0
2 1 2
1 1 0
1 0 0
1 1 1
2 2 2
10 4
2 2 0
1 1 1
2 3 3
1 3 2
0 0 3
0 0 1
0 3 0
1 0 1
1 1 2
2 0 0
10 5
0 2 0
2 0 0
1 0 0
3 2 2
1 2 0
2 0 3
2 3 2
1 1 3
2 0 2
3 3 3
10 9
2 2 3
1 1 1
0 0 0
2 0 3
3 2 1
0 1 2
0 1 0
1 1 0
0 3 2
2 0 0
10 6
0 2 2
2 3 0
0 3 0
1 2 3
0 0 3
0 3 2
2 1 0
3 2 2
3 3 0
2 3 2
10 4
0 0 1
0 2 2
0 2 0
2 0 2
0 2 1
2 0 0
0 1 0
2 2 2
1 1 1
1 2 0
10 5
1 1 2
3 3 2
1 0 2
2 1 0
3 3 1
2 2 2
0 3 3
3 2 2
1 3 3
3 3 3
10 2
0 0 1
2 0 2
2 0 1
1 1 1
1 2 2
2 0 0
2 2 2
0 0 2
2 1 1
0 1 2
10 8
3 0 2
3 1 1
1 2 3
0 2 0
3 1 3
3 0 3
0 0 1
1 2 1
3 0 0
3 2 3
10 2
2 0 1
0 2 2
0 1 1
0 0 1
0 0 0
0 2 0
0 2 1
2 0 2
2 1 2
1 0 0
10 3
1 1 1
2 2 0
0 2 0
2 2 2
0 0 0
0 1 1
2 0 0
1 0 1
0 1 2
1 0 2
10 4
2 0 0
1 1 1
1 0 1
2 1 1
2 0 2
0 2 1
0 1 0
2 0 1
0 2 2
0 1 2
10 7
1 1 0
1 1 1
1 0 1
2 2 2
1 0 2
0 2 1
1 2 1
0 1 1
0 0 0
0 1 2
10 6
2 0 0
2 0 2
1 2 0
3 3 2
1 1 0
2 2 1
1 1 1
1 3 3
2 3 2
2 1 2
10 6
2 1 2
2 2 2
2 0 0
2 2 0
0 2 1
1 1 1
2 1 1
0 1 0
0 2 2
1 2 1
10 4
2 1 3
2 2 0
3 0 0
2 3 0
3 0 2
1 1 2
0 1 1
1 0 0
3 3 3
3 0 3
10 2
1 2 3
1 0 0
2 1 3
0 3 0
2 2 1
2 2 2
1 1 2
3 1 3
3 1 2
2 3 1
10 3
3 1 1
2 3 0
3 2 2
1 1 2
1 2 3
3 0 3
2 2 0
1 3 2
2 3 3
2 1 0
10 9
1 2 0
1 1 2
0 2 2
2 2 0
0 0 1
1 1 1
1 2 2
1 0 0
2 0 1
0 1 1
10 4
1 1 0
0 0 2
0 1 2
1 0 0
1 2 1
0 0 1
2 1 1
2 1 2
1 1 1
1 1 2
10 4
2 0 2
0 0 1
2 2 2
1 0 2
1 1 2
1 2 0
0 2 2
1 1 0
2 0 0
1 0 1
10 2
0 2 2
0 0 1
2 0 2
1 1 2
2 1 2
1 2 0
1 1 1
0 1 1
0 0 0
2 0 1
10 2
1 2 0
2 2 0
2 1 2
1 1 2
1 2 2
1 0 1
1 1 0
0 0 2
2 0 2
0 2 2
10 9
0 1 1
1 2 2
0 0 2
1 2 0
1 0 0
2 2 0
1 1 1
2 1 2
1 0 1
0 2 0
10 3
1 2 1
1 0 0
0 0 0
1 2 2
1 1 1
2 0 2
0 2 0
2 2 1
0 0 1
1 0 2
10 7
1 1 0
0 2 2
2 2 0
0 2 1
0 0 2
2 1 2
1 2 0
1 0 1
2 0 0
1 2 1
10 6
1 1 0
1 3 2
1 0 0
2 2 0
1 1 3
1 0 2
0 2 2
1 3 3
3 3 3
3 2 0
10 9
2 0 1
1 3 1
1 0 2
3 0 0
0 0 1
2 0 3
3 1 2
3 2 1
0 1 3
0 0 2
10 9
2 0 0
1 1 2
2 1 1
2 2 1
1 1 0
2 0 2
0 0 1
0 2 2
2 1 2
2 0 1
10 8
1 2 3
3 1 0
3 1 1
0 0 3
2 2 3
1 3 1
1 2 1
0 2 1
2 1 1
3 2 3
10 6
2 0 0
2 0 1
1 1 0
1 2 0
1 0 1
0 0 0
1 2 2
0 1 0
0 0 2
1 2 1
10 2
3 0 3
0 3 3
0 0 0
1 3 0
0 1 1
2 0 1
3 2 3
1 1 1
1 2 2
1 0 0
10 9
2 0 0
2 0 1
0 2 1
1 1 0
0 1 1
2 2 2
0 2 2
1 1 1
1 2 1
0 0 1
10 2
0 2 2
3 1 0
2 3 2
3 3 3
0 3 1
0 0 0
1 0 3
3 2 3
0 1 0
3 1 1
10 9
0 2 3
3 0 2
3 1 3
3 3 3
0 0 1
0 0 3
2 0 3
1 0 1
3 2 3
0 2 1
10 3
3 2 0
3 3 3
0 0 1
3 0 3
3 0 1
1 1 0
2 0 2
0 2 3
2 3 2
0 0 0
10 2
2 2 1
1 2 1
2 1 0
1 1 2
1 0 1
1 0 0
1 1 1
1 1 0
2 1 1
2 0 0
10 7
2 0 1
0 0 2
2 1 2
2 1 0
2 2 2
1 1 1
1 1 0
2 0 0
1 2 0
0 2 0
10 7
2 2 2
0 2 1
0 0 2
1 2 2
0 1 1
1 1 0
2 2 1
0 2 2
2 1 0
1 1 2
10 5
1 1 1
1 0 0
2 1 0
1 1 2
1 2 1
2 0 1
0 1 1
0 2 2
2 0 2
2 2 1
10 7
0 1 2
0 2 2
1 0 2
2 0 1
2 1 1
2 1 0
1 2 2
2 0 2
2 2 0
1 1 1
10 4
3 0 1
3 1 3
0 1 1
1 0 1
2 1 0
2 0 3
1 1 2
1 3 2
1 3 3
1 0 3
10 4
1 1 1
2 0 2
1 1 0
2 0 1
0 1 2
1 1 2
1 2 0
1 0 0
2 2 2
1 0 2
10 2
0 1 2
0 1 0
0 0 0
2 1 0
1 1 0
2 2 0
0 2 2
1 0 0
0 2 1
2 1 2
10 2
0 2 1
1 2 0
2 1 0
0 1 1
1 1 1
1 0 0
0 2 2
0 1 0
0 1 2
2 2 0
10 4
3 1 1
0 1 1
3 1 2
3 3 2
0 3 2
2 1 1
1 3 1
2 1 0
2 0 2
0 3 0
10 2
1 2 1
1 2 2
2 1 1
1 0 2
2 0 1
0 1 1
2 2 1
0 1 0
2 0 0
2 2 2
10 5
0 0 2
1 2 0
2 0 2
2 2 0
0 1 1
2 0 1
0 2 1
1 2 2
2 2 2
1 1 2
10 2
2 2 1
0 2 0
0 0 0
1 1 2
1 2 2
0 2 1
2 0 2
2 1 1
1 2 0
2 0 1
10 5
2 2 1
0 1 2
2 0 2
1 2 0
1 1 0
1 2 1
1 1 2
2 2 2
0 1 1
0 2 1
10 8
0 2 2
0 1 0
1 0 1
1 1 0
2 1 1
2 2 0
0 0 2
0 0 0
1 1 1
1 2 2
10 8
2 3 3
2 0 1
0 1 3
1 2 1
2 3 0
1 1 1
3 3 0
1 3 0
0 2 2
1 3 1
10 8
0 3 0
2 0 3
0 0 1
0 1 2
2 1 0
3 3 0
2 0 1
0 2 0
2 0 0
0 2 3
10 7
3 0 0
2 2 1
2 2 2
3 3 0
1 1 1
3 1 1
3 2 0
2 1 0
1 0 2
0 0 1
10 5
0 0 1
0 0 0
1 1 2
0 2 1
0 2 2
1 2 0
1 0 0
2 0 0
2 1 1
1 0 2
10 6
1 0 3
0 2 0
0 1 2
2 3 1
2 2 0
1 2 3
3 2 1
0 2 1
1 3 2
2 2 2
10 7
3 1 0
2 3 1
0 1 2
1 0 1
0 0 0
1 2 2
3 1 3
1 0 0
3 3 1
1 3 2
10 6
2 0 1
3 2 1
1 0 1
1 0 2
2 0 0
3 2 3
0 0 3
1 3 1
1 2 3
0 0 1
10 6
1 1 1
0 1 2
2 0 1
1 1 0
1 2 2
2 2 0
1 1 2
0 1 0
1 0 0
2 0 2
10 7
0 1 1
1 0 1
0 1 2
2 0 1
2 1 1
2 1 0
2 1 2
1 2 0
2 0 0
0 2 0
10 2
1 0 0
2 2 1
3 3 3
1 0 3
2 1 0
2 1 3
0 2 0
3 0 1
2 2 0
2 3 0
10 2
2 2 0
3 3 2
1 1 0
0 0 1
0 2 3
3 0 0
3 3 3
2 1 0
1 0 3
1 3 3
10 6
2 1 2
2 1 3
2 0 3
2 2 3
1 0 2
1 2 0
3 0 3
3 3 2
3 3 3
3 1 1
10 8
3 1 3
0 0 0
2 0 2
1 1 3
0 0 3
3 3 3
2 0 3
0 0 2
2 3 1
2 0 1
10 7
1 2 2
1 3 0
2 3 1
3 3 0
2 1 1
3 2 3
2 2 1
1 1 0
1 1 1
3 1 2
10 4
3 2 0
3 3 0
3 3 3
3 1 0
1 1 0
3 0 3
0 3 3
1 1 2
0 0 0
3 2 1
10 4
2 1 2
1 2 2
0 1 0
2 2 1
1 0 0
0 2 1
1 1 2
2 0 1
0 1 1
0 2 0
10 8
0 3 2
0 3 3
1 0 2
1 1 2
1 0 0
1 2 0
0 0 1
0 0 0
2 0 3
0 0 3
10 3
1 0 1
0 2 0
0 2 2
0 1 2
0 0 1
1 2 1
0 1 1
2 2 2
1 2 0
2 2 1
10 4
2 1 1
0 0 2
0 0 0
2 0 0
0 0 1
1 1 0
1 2 2
0 1 2
2 0 1
1 2 1
10 8
3 1 3
3 1 2
3 2 3
2 3 2
1 1 0
0 2 1
1 0 1
2 0 0
0 3 0
3 3 0
10 3
3 2 2
0 2 3
3 0 0
2 3 3
3 2 1
1 1 1
1 1 2
3 3 1
2 1 0
3 1 2
10 7
3 0 0
1 1 0
1 3 2
3 2 0
1 2 1
2 0 0
1 3 1
2 2 2
2 0 2
3 0 3
10 2
0 3 1
3 2 1
1 2 2
3 1 3
3 3 1
3 1 1
2 1 2
2 2 2
3 2 0
1 1 2
10 7
2 0 2
1 1 1
2 1 1
1 2 2
0 2 0
2 1 2
0 2 1
2 2 0
0 0 0
1 2 1
10 8
2 1 0
1 2 2
0 1 2
2 2 2
1 0 2
1 1 1
0 1 1
2 1 2
2 0 2
1 0 1
10 5
1 2 2
1 1 0
2 1 2
0 2 0
3 3 0
2 2 0
3 1 2
2 1 3
0 3 1
1 3 3
10 6
3 2 3
2 0 1
2 1 1
3 0 3
2 3 1
0 0 3
0 2 0
1 3 1
1 2 3
0 0 1
10 9
2 1 1
2 0 2
2 0 0
1 1 1
0 1 1
1 1 0
1 0 1
0 2 1
1 2 0
0 2 0
10 5
3 0 0
0 1 2
3 1 1
2 0 1
3 3 0
1 3 2
1 1 3
2 2 0
1 2 0
1 2 1
10 4
3 0 0
2 0 1
2 2 1
2 3 3
3 2 3
1 2 0
0 0 3
0 0 0
2 1 2
0 2 0
10 7
0 1 1
1 1 0
2 1 1
1 1 1
2 0 1
2 1 0
1 0 1
2 2 1
0 2 0
1 0 0
10 4
0 1 1
2 2 0
2 1 0
2 0 2
2 0 1
1 2 2
1 1 0
2 2 2
0 2 1
1 2 1
10 2
1 1 1
0 0 1
0 2 0
2 2 1
1 2 2
0 2 1
2 2 0
0 1 2
2 2 2
1 0 2
10 9
1 2 1
1 2 0
0 1 2
2 1 0
1 0 1
0 2 2
1 1 0
2 1 2
0 0 1
0 2 0
10 9
2 2 0
0 2 1
1 2 1
1 2 2
2 1 0
2 0 1
1 0 0
1 1 1
0 0 0
2 0 0
10 4
1 2 2
1 0 0
2 2 2
1 1 0
2 2 0
0 0 0
0 2 0
2 1 0
0 1 2
0 0 2
10 5
1 0 2
2 2 2
3 0 1
0 1 1
1 1 2
2 1 0
1 0 1
2 3 0
3 3 0
0 3 1
10 4
1 2 1
0 0 1
2 0 0
2 1 1
3 3 1
2 3 1
2 0 2
0 2 0
1 3 0
2 2 2
10 9
3 0 2
1 1 3
3 3 0
0 0 2
3 3 3
2 0 1
3 2 2
1 1 0
1 2 2
1 1 1
10 4
0 1 1
2 0 2
1 1 2
2 1 1
3 1 0
3 1 1
2 2 2
3 2 3
3 2 1
1 3 2
10 2
0 2 0
2 0 2
2 1 0
2 1 2
0 0 0
0 1 1
0 1 2
1 0 2
1 1 1
2 0 0
10 8
0 2 0
1 3 0
2 1 3
0 2 1
3 0 2
3 2 1
3 1 0
1 3 1
2 3 1
1 2 0
10 9
0 1 2
1 0 0
2 2 1
2 2 2
2 1 2
0 1 0
1 1 0
1 1 1
0 2 1
0 0 1
10 2
2 0 0
2 1 0
0 1 0
2 2 1
2 0 2
0 0 1
0 0 0
1 0 2
0 0 2
0 1 2
10 3
0 0 1
0 1 0
1 1 2
1 1 0
0 1 1
1 1 1
1 2 1
2 1 0
0 0 2
2 1 2
10 6
3 3 1
1 0 3
2 0 1
2 0 2
1 2 2
2 2 1
3 0 2
0 1 0
2 1 1
1 0 0
10 9
1 2 1
0 1 1
2 2 0
2 0 0
0 1 0
1 1 1
0 2 1
0 2 0
1 2 0
1 0 1
10 5
3 2 2
0 0 2
0 0 0
2 2 3
0 3 0
2 1 3
1 2 1
1 2 3
0 3 3
2 0 3
10 9
0 2 3
2 1 2
0 2 1
1 1 1
1 2 2
0 3 0
2 0 1
3 0 0
3 2 0
2 3 1
10 5
1 1 2
2 2 0
0 0 0
0 2 1
2 2 1
0 0 2
1 1 0
2 2 2
0 1 0
1 1 1
10 6
2 1 1
1 2 2
2 0 0
2 2 1
2 0 1
0 2 2
0 1 2
2 2 0
0 2 1
0 1 0
10 7
0 2 2
2 1 2
1 3 3
3 2 3
2 2 0
0 2 1
0 0 0
2 3 0
0 1 2
0 1 0
10 5
0 2 2
1 2 3
1 0 2
3 0 1
2 1 1
0 0 1
0 3 3
0 1 2
2 3 2
1 0 1
10 8
2 1 2
2 0 3
0 3 3
3 0 0
3 0 1
2 3 0
0 3 1
1 1 3
1 2 0
0 0 3
10 4
2 0 1
1 1 2
2 2 2
0 1 2
1 2 0
0 0 2
0 1 1
0 1 0
0 2 1
1 0 2
10 2
0 2 0
1 2 0
0 1 0
2 1 0
2 0 0
0 0 2
1 1 0
2 2 0
2 1 1
2 2 1
10 9
3 3 1
1 1 1
0 2 2
1 0 2
1 0 0
0 2 0
1 2 0
3 2 1
0 0 2
2 0 3
10 9
2 1 0
0 1 0
2 0 0
2 1 2
0 1 1
1 1 1
0 2 0
2 2 0
1 0 2
2 2 2
10 9
0 1 0
1 0 0
0 1 1
1 1 0
2 0 0
0 2 1
0 1 2
2 2 1
2 1 0
2 0 2
10 5
0 2 2
2 1 0
0 1 1
0 1 0
1 1 2
2 2 0
1 0 0
2 0 1
2 0 0
1 0 1
10 9
0 1 1
2 2 2
1 0 1
2 0 1
1 2 1
1 1 2
2 1 0
2 2 1
0 0 2
1 0 0
10 8
2 0 2
2 1 2
1 2 2
1 0 0
0 2 0
1 1 2
1 0 1
1 2 1
0 0 0
1 1 0
10 5
1 0 2
3 0 3
2 2 2
1 2 1
1 1 2
2 2 0
2 2 3
3 2 0
2 1 1
1 3 3
10 9
1 1 3
1 0 1
3 3 1
1 1 1
3 3 3
0 1 0
1 0 2
2 3 3
1 2 2
3 2 0
10 7
0 1 0
0 2 2
1 3 0
1 1 1
2 1 1
0 3 1
1 3 1
2 3 1
0 2 0
3 3 2
10 3
1 2 1
1 1 2
2 0 2
2 1 2
0 2 1
2 2 2
0 1 2
1 2 2
0 2 0
2 0 1
10 3
2 1 3
0 0 0
1 1 3
0 0 2
1 1 0
2 3 0
1 2 0
1 3 3
0 3 1
2 1 2
10 8
3 0 3
1 0 3
2 2 1
3 2 1
1 3 0
2 0 1
3 2 0
0 3 2
2 3 3
2 2 0
10 3
0 2 2
1 0 0
1 0 2
0 2 1
1 2 2
1 1 2
0 0 1
1 1 1
1 1 0
2 2 1
10 2
2 1 1
1 1 1
0 2 1
0 0 1
0 0 0
0 0 2
0 2 0
1 2 1
0 1 0
1 2 2
10 8
0 3 3
1 3 2
0 1 3
3 3 2
0 0 3
2 2 3
2 1 0
0 3 0
1 3 3
2 3 1
10 8
1 3 0
0 0 0
1 0 3
0 2 1
2 2 1
1 1 1
3 3 2
3 1 3
3 1 0
3 2 3
10 4
0 1 2
0 3 0
1 2 3
0 0 1
3 2 1
3 1 0
2 2 2
3 1 1
3 2 0
0 3 3
10 6
3 3 1
0 2 1
2 0 3
1 2 1
3 0 1
2 1 0
2 0 0
2 1 2
1 3 0
1 3 1
10 3
2 2 1
3 2 1
2 1 1
3 1 0
2 0 0
3 0 3
1 3 0
0 2 2
2 0 2
2 1 3
10 7
1 0 1
0 2 2
2 2 0
2 1 2
1 2 2
1 1 2
2 0 1
2 2 1
1 0 2
2 0 0
10 3
2 1 0
2 0 1
2 1 1
0 2 0
1 1 0
0 1 2
1 1 1
0 2 1
0 2 2
2 2 1
10 6
2 1 1
0 0 0
2 2 0
1 1 1
0 2 1
0 1 2
2 0 1
1 0 0
1 1 2
2 0 0
10 2
3 0 0
1 3 3
3 3 2
3 1 2
3 3 3
3 2 0
2 0 1
1 3 2
1 3 1
1 1 1
10 4
0 2 1
1 2 3
2 2 3
1 2 1
1 2 0
3 2 3
2 3 3
0 3 3
2 1 1
3 3 3
10 5
1 1 2
1 2 0
0 2 2
1 0 2
0 2 1
0 0 1
2 2 1
1 1 1
0 0 0
1 2 1
10 2
0 2 0
2 2 0
0 1 2
2 2 1
2 2 2
1 1 0
2 1 1
1 1 2
0 1 1
1 0 1
10 5
1 1 0
2 2 1
0 2 0
0 2 2
2 0 0
0 1 0
1 1 2
1 0 0
0 1 2
1 1 1
10 8
0 0 3
3 3 1
2 1 3
3 0 3
3 3 3
3 3 0
0 0 2
1 3 0
0 1 2
1 1 0
10 8
0 1 0
2 1 2
2 0 2
0 1 2
2 1 0
0 0 1
1 1 2
1 2 0
1 2 1
0 2 1
10 6
2 0 1
2 1 2
0 2 1
0 0 0
0 0 2
2 0 2
1 1 0
1 2 0
1 2 2
1 1 1
10 8
2 2 2
0 1 1
1 1 2
0 2 2
1 1 1
0 2 1
0 1 2
2 1 1
2 2 1
0 2 0
10 5
0 1 1
1 0 2
2 0 0
1 0 0
0 2 2
1 0 1
0 2 1
2 1 1
1 1 1
1 1 0
10 5
2 0 1
1 0 1
0 1 1
1 0 0
1 2 1
0 2 0
1 1 0
0 1 0
2 2 0
0 2 2
10 5
1 1 3
1 0 0
3 0 3
1 1 0
2 1 3
2 0 3
3 1 3
2 3 1
1 2 0
3 3 3
10 7
1 3 3
1 1 3
2 3 1
2 0 0
3 2 3
0 2 0
1 2 0
3 2 0
3 3 3
2 0 2
10 8
2 2 1
1 1 1
0 0 2
2 2 2
1 2 0
0 0 1
2 0 2
0 0 0
2 1 1
0 1 0
10 7
2 2 2
3 1 2
3 3 1
1 0 1
3 1 1
0 3 2
3 3 2
2 0 3
0 1 0
2 1 3
10 4
2 0 0
0 0 0
0 0 1
0 1 1
0 1 2
1 0 2
1 2 0
0 0 2
1 0 1
1 2 2
10 7
3 0 2
1 2 0
0 3 1
0 2 2
2 1 1
2 2 1
0 1 0
0 3 3
0 0 1
1 0 1
10 7
0 0 0
1 0 0
2 1 2
2 2 1
2 0 0
2 2 0
1 2 2
1 1 1
0 0 2
0 1 2
10 4
1 1 1
2 1 0
1 1 2
0 0 0
2 1 1
1 2 0
2 2 1
2 0 1
1 0 2
0 2 2
10 6
0 1 0
2 1 0
2 1 2
1 0 2
2 0 1
1 1 0
0 2 2
1 2 1
2 0 2
0 0 1
10 3
1 1 1
0 2 2
2 2 2
1 3 3
2 2 0
1 0 0
1 3 1
3 0 2
1 3 2
2 0 1
10 9
0 2 1
0 2 0
1 0 1
0 1 2
0 0 0
0 0 1
1 1 2
1 0 0
1 2 2
1 1 1
10 2
3 0 3
2 3 2
1 2 0
2 0 0
2 3 3
3 0 2
2 0 2
3 2 2
3 3 3
1 1 1
10 6
1 0 2
2 1 1
1 0 0
0 0 0
2 2 0
0 1 2
2 2 2
1 2 0
1 2 1
0 2 1
10 3
0 3 2
2 1 0
0 0 2
0 0 3
2 2 0
1 2 2
0 3 0
3 3 0
2 3 3
3 0 2
10 8
2 1 2
1 1 1
3 3 3
1 3 1
2 3 2
3 2 2
0 0 2
0 1 0
0 2 1
3 0 2
10 2
1 3 1
0 1 0
0 2 2
0 3 3
2 1 0
1 0 2
0 3 1
0 3 2
3 1 1
2 1 3
10 5
0 2 1
0 1 0
1 1 1
2 0 2
2 1 0
2 0 0
0 2 0
0 1 1
1 2 1
1 0 2
10 5
2 1 2
2 1 1
3 2 1
1 2 0
1 3 3
3 2 0
1 1 2
3 3 1
2 3 1
2 0 1
10 2
2 0 0
1 1 1
0 1 0
1 2 0
0 1 1
1 2 1
0 0 2
2 1 1
0 0 0
1 2 2
10 2
3 1 2
1 3 2
3 1 1
1 2 3
2 0 0
1 1 0
0 0 1
2 1 2
3 3 2
1 1 3
10 8
2 2 3
1 2 2
0 0 2
3 0 2
2 2 2
2 2 0
0 3 3
1 3 1
1 0 0
1 2 1
10 2
1 1 2
2 3 1
2 2 1
0 1 3
0 1 2
3 0 2
1 1 3
1 0 3
2 0 2
0 0 0
10 6
0 2 0
3 2 0
0 2 2
0 3 0
3 2 1
3 1 2
1 1 3
1 2 2
1 3 0
1 1 1
10 7
0 1 0
3 2 1
2 0 1
2 3 1
2 0 0
3 2 3
0 1 1
1 3 0
1 0 1
0 3 1
10 6
1 2 0
2 2 1
2 1 2
1 1 1
2 0 1
1 0 2
0 1 2
1 2 1
2 0 0
1 2 2
10 7
2 1 1
0 1 1
2 2 2
0 0 1
0 1 0
0 0 0
2 1 2
1 2 0
2 0 0
1 2 2
10 2
1 2 1
1 0 1
0 2 0
1 2 0
0 1 2
2 2 1
0 0 2
1 1 0
0 2 1
0 0 0
10 7
1 1 2
0 1 0
0 0 0
0 0 2
2 1 2
0 0 1
1 2 0
0 2 0
1 0 2
0 2 1
10 2
1 3 0
3 2 0
2 1 0
2 0 1
2 1 1
1 0 0
1 1 3
0 3 0
1 0 3
3 1 0
10 5
3 2 2
3 0 0
1 2 3
2 3 3
0 3 1
1 1 1
2 1 2
1 3 0
0 1 3
0 3 2
10 8
1 1 2
1 2 0
2 1 1
2 0 0
0 1 2
1 1 0
2 2 2
0 1 0
2 1 2
1 2 2
10 3
1 1 1
2 0 1
0 2 1
1 2 0
2 2 2
1 1 2
2 0 0
0 1 2
1 0 2
0 0 1
10 9
2 0 0
0 3 0
3 1 2
0 1 2
2 0 1
1 1 0
0 0 1
3 2 2
3 0 0
3 2 1
10 4
1 1 1
2 0 0
2 1 1
2 1 2
1 1 2
1 2 2
1 2 1
1 0 2
2 2 0
0 1 1
10 2
0 1 1
0 2 1
1 1 1
1 2 1
2 1 2
0 1 2
0 2 0
0 0 2
2 0 0
2 2 2
10 6
3 0 0
2 0 2
3 1 2
1 1 0
2 2 2
3 1 1
3 2 0
0 1 1
3 0 1
2 3 2
10 2
1 3 1
2 2 2
3 2 1
0 2 2
2 2 3
1 1 2
1 1 0
2 1 2
0 0 1
3 2 2
10 4
3 1 1
1 2 1
1 2 0
0 2 3
3 3 0
2 3 1
3 3 3
2 0 0
3 0 1
2 1 3
10 5
0 0 1
1 1 0
2 0 0
2 1 1
0 0 2
1 1 2
2 1 0
2 2 2
2 1 2
2 0 1
10 9
1 1 0
1 1 1
0 1 0
1 0 0
2 1 1
1 0 2
2 2 2
0 2 0
1 2 2
1 2 0
10 3
2 0 2
0 1 0
0 1 2
1 0 1
2 2 1
0 0 2
1 1 2
2 2 2
0 0 1
1 1 0
10 6
2 0 3
1 0 0
3 3 0
1 3 1
1 2 1
2 3 2
3 3 2
0 3 2
3 2 1
2 2 1
10 8
0 2 0
3 1 1
0 1 2
0 0 3
1 0 3
2 3 2
2 0 2
0 2 1
3 0 2
1 2 2
10 4
1 3 3
0 0 1
1 3 2
1 2 0
2 1 1
1 1 0
0 2 3
3 1 3
0 1 1
0 3 2
10 6
0 0 0
1 1 2
1 1 0
0 1 2
2 2 0
2 0 0
0 0 1
2 0 2
1 2 0
0 1 0
10 8
0 1 2
2 2 0
2 0 0
1 2 2
2 1 0
2 2 2
0 2 1
0 1 0
0 2 2
0 0 0
10 6
1 1 2
0 1 1
0 0 2
0 0 1
0 1 2
0 0 0
1 0 0
2 2 0
1 1 0
0 2 2
10 2
3 0 1
3 3 0
3 0 0
0 1 1
2 3 2
1 2 0
0 0 0
0 3 1
3 3 1
1 1 0
10 2
2 1 2
1 0 1
0 1 0
2 2 1
0 1 1
1 2 1
2 0 2
0 1 2
0 2 1
1 1 1
10 3
1 1 0
0 2 1
2 2 2
0 1 0
0 2 2
1 1 1
0 0 2
2 0 1
2 1 0
0 1 2
10 3
0 2 3
2 3 2
1 3 0
0 1 3
3 3 3
0 2 0
3 0 3
2 2 2
2 1 1
1 1 0
10 3
2 2 1
2 1 2
0 2 1
0 0 1
2 0 1
0 0 2
0 0 0
0 2 2
0 1 1
1 1 1
10 5
1 3 0
0 3 2
3 0 1
0 0 1
0 1 0
1 1 1
0 3 0
1 2 3
2 3 1
3 1 0
10 2
0 0 3
0 3 2
2 3 0
0 2 0
0 2 1
3 3 3
1 3 1
1 2 1
2 2 0
2 1 1
10 2
2 2 1
0 1 0
1 0 2
2 0 1
1 0 1
1 2 2
1 2 0
1 1 2
0 2 0
0 0 2
10 2
2 1 0
2 1 3
0 0 2
0 1 1
3 3 3
3 2 2
0 3 1
2 2 2
2 3 1
1 0 1
10 4
2 0 3
1 2 3
0 3 0
3 0 0
0 3 3
0 2 2
3 1 3
2 2 3
1 1 0
1 0 2
10 2
2 0 2
3 3 2
3 2 0
3 1 1
3 2 1
2 2 0
2 3 2
1 1 2
0 2 3
1 0 1
10 6
0 1 1
2 2 1
1 1 1
1 2 1
1 1 0
2 2 0
0 0 2
0 2 0
0 2 1
2 0 1
10 4
2 1 2
2 0 1
1 1 0
2 0 2
1 1 2
0 0 2
1 0 2
0 0 0
0 2 2
2 1 0
10 8
0 0 0
2 1 3
0 1 1
1 2 0
3 2 0
0 0 3
1 3 2
2 0 0
1 2 1
3 0 0
10 4
1 1 0
2 1 1
0 1 0
0 0 2
2 2 1
1 1 2
1 2 1
0 0 1
0 2 0
0 2 1
10 4
3 1 1
2 2 0
1 0 2
1 3 2
2 1 3
2 0 1
0 1 3
0 3 1
2 1 1
1 0 0
10 8
0 1 2
1 0 2
2 2 0
1 3 0
1 2 0
2 0 0
1 1 1
3 2 1
0 1 1
2 0 3
10 8
1 1 2
2 1 0
2 2 0
1 0 0
1 0 2
0 2 0
0 2 2
0 0 1
0 0 0
0 2 1
10 3
2 3 3
2 1 0
3 3 2
2 2 3
3 0 3
1 2 1
3 1 0
3 2 2
3 2 3
3 0 1
10 6
3 1 2
0 2 0
2 1 2
0 1 2
1 1 2
3 0 3
3 3 0
2 3 3
0 3 0
1 0 3
10 2
1 2 0
1 2 2
1 1 0
0 2 1
0 1 2
2 2 1
2 0 0
1 0 0
1 0 2
2 0 1
10 5
1 3 2
2 3 2
0 0 3
0 3 1
0 1 1
2 1 3
3 1 1
2 3 3
0 2 0
1 2 1
10 5
1 1 1
3 0 1
2 0 3
1 1 0
2 1 2
0 3 2
3 3 0
0 2 0
2 0 2
2 3 3
10 4
2 0 2
0 2 1
0 1 0
0 2 0
0 1 2
1 2 2
0 0 1
2 1 0
1 0 1
1 1 1
10 9
1 2 2
0 0 2
2 0 2
0 1 1
2 2 1
1 2 0
1 1 0
2 2 0
2 0 1
1 0 1
10 5
0 0 2
0 0 1
1 1 2
2 0 0
2 0 1
1 1 0
1 2 1
2 1 0
1 0 1
1 2 2
10 6
0 2 2
3 2 3
0 0 3
0 1 2
3 0 1
0 0 0
0 3 0
2 0 2
1 0 1
1 1 3
10 6
0 1 2
1 1 2
1 0 1
1 0 2
2 0 1
2 2 1
2 2 2
0 1 1
0 0 0
1 1 0
10 5
2 0 3
1 2 3
0 1 1
0 0 0
3 3 0
0 2 0
1 2 1
3 3 1
0 0 2
3 0 0
10 4
2 1 0
3 2 2
2 3 1
1 1 1
2 3 2
2 0 1
1 2 2
2 1 1
3 2 0
1 0 1
10 6
3 0 2
3 2 0
0 1 3
3 2 2
1 1 0
0 0 2
0 2 3
2 0 0
2 0 1
0 3 2
10 7
0 1 2
2 2 1
1 2 1
0 2 1
2 2 0
2 0 0
0 1 0
1 1 0
2 0 2
1 2 2
10 5
0 2 2
0 1 3
2 2 1
3 2 3
3 1 2
2 3 1
1 0 3
0 3 0
3 0 2
1 0 0
10 6
0 3 0
0 2 3
1 2 1
0 3 3
2 2 0
0 2 0
1 0 0
2 3 3
1 3 0
2 1 0
10 9
0 2 1
2 0 2
1 2 1
1 2 0
2 0 0
2 1 1
1 0 2
0 2 2
1 1 2
0 1 1
10 4
2 3 3
1 3 0
0 0 2
1 1 1
2 3 1
2 0 0
1 3 2
3 1 1
1 3 1
1 1 2
10 2
2 1 1
0 2 0
1 2 0
0 0 1
1 2 2
0 0 0
2 0 1
1 2 1
0 2 1
1 1 2
10 6
0 1 1
1 1 1
1 0 0
2 2 1
0 1 0
2 1 2
2 2 0
0 0 2
2 1 1
2 0 1
10 4
2 1 1
0 0 2
2 2 0
2 0 0
0 0 1
0 2 2
2 2 1
1 2 2
1 1 0
0 2 0
10 8
2 1 2
0 2 1
3 3 3
2 3 0
0 3 1
2 0 2
0 2 0
1 2 0
1 1 1
2 2 1
10 3
1 1 0
3 0 3
1 2 2
1 2 3
3 3 1
0 3 0
3 1 3
0 2 3
2 3 3
1 3 3
10 2
0 0 0
2 1 2
2 0 0
2 2 3
1 1 0
0 1 2
0 2 0
2 3 2
1 3 0
0 0 3
10 2
0 1 0
0 3 2
0 0 1
1 1 1
1 3 2
0 3 0
1 0 0
1 3 1
2 3 1
3 0 2
10 7
3 2 0
2 2 2
0 0 0
2 3 0
0 3 2
0 1 1
3 0 1
0 3 0
0 2 3
1 1 3
10 9
1 0 1
0 0 2
2 0 2
1 1 1
2 2 2
2 2 1
0 1 0
1 2 2
1 0 0
0 0 1
10 5
0 2 2
1 0 1
0 2 1
0 0 0
2 1 1
1 2 2
1 1 2
2 1 0
0 1 1
0 0 2
10 7
1 3 3
0 0 2
3 2 2
1 1 2
1 0 3
3 3 0
2 0 3
1 3 1
3 0 3
3 3 3
10 2
1 1 2
0 2 0
2 0 2
2 0 1
2 1 0
1 2 2
1 2 1
0 0 0
0 1 0
0 0 2
10 6
2 0 2
0 0 1
2 0 0
0 2 1
1 2 0
0 1 2
1 0 1
2 1 2
0 0 2
1 1 1
10 4
0 2 2
1 2 0
0 1 1
2 0 2
1 2 1
2 1 0
1 1 2
1 0 2
1 1 1
0 0 0
10 3
2 2 2
0 2 2
1 0 1
0 0 2
2 2 0
2 1 1
1 1 1
2 0 2
0 2 0
0 1 0
10 3
1 3 3
3 2 1
1 0 0
2 0 2
2 3 0
2 3 1
3 1 1
3 0 2
1 0 2
0 3 2
10 8
2 1 3
0 0 3
3 2 2
1 0 0
1 1 3
2 0 0
0 2 2
1 1 0
2 2 3
1 1 2
10 3
2 3 0
2 1 2
3 1 2
1 3 0
0 1 2
1 1 3
3 2 1
0 2 1
2 0 1
0 2 2
10 6
3 1 3
2 2 3
1 1 2
3 2 0
3 2 3
0 0 1
0 1 1
0 3 3
2 0 0
2 1 0
10 6
1 0 2
1 1 2
2 0 2
0 0 1
1 2 1
0 0 2
0 0 0
2 2 1
0 1 0
0 1 1
10 5
1 3 2
3 3 2
0 1 2
1 2 0
2 0 3
0 2 3
1 0 0
2 1 0
0 3 0
0 3 1
10 6
3 1 3
0 1 0
2 3 3
3 3 1
2 2 1
3 2 1
0 3 3
0 0 2
2 3 1
1 0 3
10 7
3 3 1
3 0 0
0 2 1
3 1 0
0 2 3
3 3 2
1 2 0
2 3 0
2 3 3
0 1 3
10 5
2 3 2
1 1 1
2 1 1
3 2 3
2 0 2
3 1 1
3 1 3
2 3 0
1 2 0
2 2 3
10 2
3 3 2
3 2 3
1 0 3
2 0 0
2 3 0
1 1 0
1 2 1
2 1 2
2 0 3
1 1 2
10 5
0 1 0
1 0 2
2 0 0
0 0 0
0 1 1
2 1 2
0 0 2
2 2 0
0 2 0
0 2 2
10 7
0 0 1
3 2 2
3 3 3
1 0 0
3 2 1
0 0 3
2 3 0
0 1 1
3 1 0
3 2 3
10 4
2 0 0
0 0 2
1 0 0
0 0 0
0 1 2
2 0 1
2 1 1
0 2 0
2 0 2
0 2 2
10 4
3 2 2
3 3 3
2 3 1
3 1 3
3 3 0
3 0 0
1 3 0
2 0 0
1 0 1
0 3 1
10 4
1 2 3
2 3 3
3 3 2
1 2 2
1 1 1
0 0 0
2 1 2
3 3 1
0 0 1
1 0 1
10 7
2 1 3
1 0 2
3 0 1
3 1 0
0 2 1
3 3 1
1 3 3
0 1 1
0 0 2
0 3 1
10 3
1 0 1
2 1 1
0 2 0
0 2 2
0 1 2
1 0 2
0 0 1
1 0 0
2 0 0
1 1 2
10 3
1 1 2
3 3 1
2 0 0
0 2 2
1 0 3
3 3 2
1 1 3
1 1 1
3 2 0
0 3 0
10 6
3 1 1
2 1 2
0 0 2
2 2 2
0 0 3
3 3 0
2 1 0
3 2 3
3 2 1
2 0 2
10 8
1 0 1
1 0 0
0 1 2
0 0 2
0 1 1
1 1 2
1 2 2
1 1 1
2 0 0
2 2 1
10 4
2 1 2
2 1 1
2 2 1
1 2 2
1 2 1
2 0 2
1 1 2
0 0 2
1 2 0
0 1 1
10 7
1 0 2
3 3 3
0 1 2
2 3 3
0 2 2
3 2 2
3 1 3
2 0 2
3 2 0
1 1 3
10 8
3 1 2
2 0 3
3 3 0
2 0 2
3 1 3
0 1 2
1 0 3
3 2 1
1 0 0
1 1 2
10 2
1 3 3
3 0 2
3 2 3
0 2 2
0 2 1
2 1 0
0 1 0
3 3 2
1 2 1
1 3 2
10 9
1 2 0
0 2 1
1 1 2
0 0 1
2 0 0
1 1 0
2 0 2
1 0 1
2 1 0
2 2 0
10 3
2 1 2
3 1 2
2 3 2
2 1 1
3 3 3
3 0 3
0 2 3
2 0 0
3 0 2
1 2 3
10 5
1 2 2
1 2 0
2 0 1
1 2 1
2 0 2
2 2 1
0 0 0
1 1 1
0 1 2
2 2 2
10 8
1 1 1
2 2 2
2 1 2
2 1 1
2 1 0
0 0 2
1 0 0
1 2 2
1 2 0
1 2 1
10 6
0 0 2
0 0 1
0 2 2
1 0 2
2 1 0
0 0 0
1 2 2
2 2 1
0 2 0
2 0 0
10 5
2 1 0
2 2 3
0 2 2
1 2 0
1 0 1
3 2 1
0 2 3
3 0 2
0 0 3
1 0 2
10 4
0 1 1
2 2 2
1 1 1
2 1 1
1 2 0
1 2 1
2 0 1
0 0 0
1 0 2
2 1 2
10 6
1 1 3
1 0 0
1 3 0
0 2 3
2 2 1
2 3 3
0 2 1
2 3 1
1 1 1
2 0 0
10 6
0 1 1
3 1 3
2 3 3
0 3 0
0 3 2
1 2 3
0 0 1
3 1 2
2 2 1
2 0 0
10 8
0 0 2
2 2 2
0 2 0
1 1 0
1 1 2
2 2 0
0 0 0
2 1 0
1 0 0
1 2 1
10 2
2 1 2
2 2 2
2 3 1
0 3 0
2 0 3
2 3 2
1 3 0
0 2 2
1 2 3
3 2 2
10 4
2 2 1
1 0 1
1 2 0
1 1 0
0 2 1
1 0 2
2 0 0
1 2 2
1 1 1
0 2 2
10 3
3 1 3
1 2 2
1 0 3
2 0 1
0 3 3
3 1 1
0 2 2
1 0 2
3 3 3
0 3 2
10 3
1 1 1
0 1 2
1 2 2
1 0 0
2 2 1
1 0 1
1 0 2
0 1 0
0 0 2
0 2 2
10 7
0 1 1
2 2 0
1 2 2
2 2 1
1 1 1
0 1 2
1 0 0
0 2 1
1 1 2
0 2 2
10 9
0 2 2
1 0 2
1 0 1
0 0 1
0 2 0
0 2 1
2 0 0
2 1 1
1 2 1
2 1 0
10 5
2 1 0
1 1 1
2 2 0
0 0 0
2 2 1
2 1 2
0 1 1
1 2 0
0 2 1
1 0 1
10 6
1 1 2
0 0 0
1 1 1
2 0 0
1 0 0
1 0 2
0 0 1
2 0 2
1 1 0
2 1 2
10 5
1 1 2
2 0 2
0 1 2
2 2 1
2 0 1
1 0 2
1 2 1
1 0 0
0 1 1
2 1 2
10 4
0 1 2
2 0 1
0 2 0
1 1 2
2 2 2
2 1 2
0 1 0
2 1 0
1 2 1
2 2 0
10 5
1 2 1
0 3 2
0 3 1
2 2 2
1 1 0
2 0 2
2 1 1
0 0 3
1 0 2
1 3 0
10 8
2 0 0
1 0 1
1 2 0
2 2 2
0 2 0
1 2 2
1 1 2
0 1 1
2 0 1
1 2 1
10 6
1 0 1
0 2 1
2 1 1
1 2 0
1 1 0
1 0 2
0 1 1
2 1 0
1 2 2
1 0 0
10 8
2 0 2
1 2 1
1 0 0
1 0 1
2 0 1
2 2 2
2 1 2
2 1 1
1 2 2
0 1 0
10 6
3 0 0
2 0 2
1 0 3
2 1 1
2 1 2
1 1 1
1 0 1
2 3 0
1 3 0
3 2 3
10 4
0 1 2
2 2 2
1 2 2
1 1 2
2 0 0
0 1 1
2 1 2
0 0 2
0 2 1
2 2 1
10 4
1 2 0
2 1 2
0 1 0
0 2 2
1 1 0
0 1 1
2 2 0
2 0 1
2 0 2
2 0 0
10 4
2 1 0
2 1 3
0 0 1
3 0 1
1 2 2
1 1 3
3 2 1
2 2 3
2 0 1
1 2 1
10 3
1 2 1
2 2 2
1 0 0
0 1 0
2 0 0
2 1 0
1 1 2
1 2 2
0 0 0
1 1 0
10 7
2 3 1
2 2 1
0 0 1
2 1 3
2 0 0
2 0 1
3 0 0
1 1 0
3 1 3
2 3 3
10 7
2 2 1
1 1 0
0 0 1
0 2 2
2 0 2
1 2 0
2 0 1
0 2 0
1 2 1
2 2 0
10 4
3 1 0
1 3 3
0 0 2
1 2 0
0 0 0
1 1 1
3 2 3
0 1 1
0 3 1
3 2 1
10 3
2 1 3
1 0 1
2 2 0
0 2 2
3 2 3
3 1 1
2 0 0
1 2 2
1 2 1
3 3 2
10 8
0 2 1
0 2 2
2 2 2
1 1 1
0 2 0
2 1 1
0 0 1
1 1 0
1 0 2
2 1 0
10 6
2 1 1
1 2 3
2 3 0
2 2 0
1 1 0
1 3 0
3 3 0
1 1 1
2 2 2
3 2 0
10 3
0 1 2
3 0 2
1 2 0
3 1 1
2 2 1
3 2 3
1 3 1
1 2 1
2 1 3
2 0 3
10 5
1 0 3
0 0 3
3 3 3
3 3 1
2 1 0
2 3 1
2 2 0
0 2 3
2 1 2
3 3 0
10 8
3 2 0
1 0 2
3 3 0
2 0 2
0 3 2
0 1 2
2 1 1
0 0 1
1 0 0
1 1 3
10 9
2 2 0
0 0 2
2 0 1
1 2 1
1 2 0
2 0 0
2 2 2
0 1 0
1 2 2
0 2 1
10 8
3 0 1
2 0 2
0 1 3
1 3 1
0 3 3
2 3 2
3 1 3
1 0 2
2 0 1
2 0 0
10 7
0 2 1
2 3 1
1 2 2
1 2 1
0 1 1
0 1 2
3 1 1
0 2 0
1 2 3
3 1 0
10 8
0 3 1
1 0 3
3 1 1
0 1 0
3 2 3
2 1 2
0 0 0
2 2 1
3 3 3
0 0 3
10 3
3 3 1
1 2 2
1 0 0
3 0 1
3 1 1
0 3 1
2 1 1
2 0 0
0 1 2
2 1 0
10 5
1 2 0
2 2 2
1 0 1
0 2 0
2 0 1
2 0 0
2 1 2
0 0 1
1 1 2
2 1 0
10 3
3 0 0
3 3 3
2 0 1
0 2 2
2 3 2
3 1 1
1 2 3
1 3 1
3 2 0
1 1 1
10 3
0 2 2
0 1 2
1 1 0
1 2 0
0 2 1
2 2 1
2 0 1
2 2 0
0 0 2
1 1 2
10 2
1 0 1
2 0 1
2 1 0
0 0 1
1 2 0
2 2 1
0 1 0
2 1 1
2 2 0
2 0 0
10 3
2 2 2
1 0 1
0 2 0
1 0 2
1 1 1
2 0 1
0 0 1
2 1 0
2 0 0
0 1 0
10 5
0 0 0
2 1 2
0 0 2
0 1 0
2 0 1
0 1 1
2 1 1
1 2 0
1 1 1
0 2 2
10 2
1 2 1
3 0 2
0 1 2
0 2 2
3 3 2
1 2 2
2 1 2
1 0 3
1 0 1
1 1 2
10 3
1 3 3
0 1 1
1 0 1
1 3 0
0 2 2
3 2 3
2 1 0
2 3 1
3 0 2
2 1 2
10 7
1 1 3
2 3 3
2 0 0
2 3 1
1 2 0
3 2 1
0 2 2
2 2 1
2 3 2
0 2 3
10 9
1 1 2
2 2 0
1 0 0
0 0 0
1 2 0
1 2 1
2 0 1
0 2 1
0 2 2
0 1 1
10 4
1 2 1
1 1 3
1 1 1
3 0 2
1 0 3
2 3 1
1 3 1
1 3 3
0 2 0
3 3 2
10 2
1 1 1
0 0 0
1 2 0
2 2 1
0 2 2
2 0 0
0 2 0
1 1 2
0 0 1
2 2 2
10 4
2 2 3
1 0 0
2 3 2
3 2 3
3 1 1
1 1 0
1 3 1
0 1 3
0 1 2
0 3 0
10 8
2 1 2
1 2 0
0 2 1
0 1 1
1 0 0
1 0 1
1 2 1
1 0 2
0 1 2
1 1 2
10 3
2 1 0
1 1 0
0 0 1
1 2 0
1 2 2
0 2 0
0 1 1
2 1 1
1 2 1
1 1 1
10 2
0 2 0
1 2 2
2 0 0
1 2 1
2 2 1
0 1 2
1 0 1
1 0 0
2 1 0
2 0 2
10 9
2 1 2
0 1 0
2 2 0
0 2 0
1 2 0
2 0 2
2 1 1
2 0 0
1 0 1
1 0 0
10 6
0 1 2
3 0 2
0 3 2
0 3 1
1 0 1
3 3 3
0 0 0
1 1 2
1 3 1
2 2 0
10 8
1 2 1
0 1 2
1 1 0
0 1 1
1 2 2
2 0 1
0 0 0
1 0 1
2 0 2
1 2 0
10 2
1 0 0
1 2 0
2 1 0
0 1 0
0 2 2
0 2 0
2 0 2
1 1 2
1 1 1
2 0 0
10 4
2 1 2
0 1 2
2 3 2
0 1 3
3 3 0
1 1 2
2 0 2
2 0 3
1 1 1
0 2 2
10 4
2 2 0
2 3 2
1 2 2
2 3 1
1 1 2
3 0 2
0 1 2
1 1 1
3 0 0
3 3 2
10 4
0 1 0
0 2 1
0 1 2
2 1 0
2 2 1
1 2 2
1 0 2
1 1 1
0 0 1
1 2 1
10 3
2 0 0
1 1 2
2 1 0
2 1 1
0 0 1
0 0 0
1 0 1
0 0 2
1 2 0
2 2 0
10 3
1 1 1
1 0 2
2 1 0
2 0 0
1 2 0
0 0 1
1 1 0
2 0 1
1 2 1
1 1 2
10 9
2 2 0
1 0 1
1 1 0
1 0 2
0 1 0
2 2 2
0 0 2
1 2 0
0 0 1
0 0 0
10 6
0 3 1
1 2 3
0 3 2
0 0 2
2 3 3
1 3 2
1 0 3
2 1 0
3 2 0
2 1 1
10 9
2 3 1
3 1 1
0 2 0
1 2 3
2 0 1
0 3 1
1 2 2
2 1 0
0 1 1
3 0 3
10 2
1 0 0
1 1 0
2 2 2
2 0 2
0 2 0
1 2 1
1 0 2
0 2 2
1 1 1
0 0 2
10 5
0 2 3
2 0 0
0 1 1
1 1 0
1 0 3
3 0 3
1 1 2
0 3 3
3 2 2
2 3 0
10 8
2 3 0
1 1 1
1 0 0
3 0 3
0 3 1
3 2 0
0 2 3
3 3 1
1 3 3
0 0 0
10 5
3 1 1
3 0 3
1 0 1
1 1 0
0 1 1
0 3 2
0 0 3
3 3 2
0 3 1
0 2 0
10 3
1 1 1
2 1 1
1 1 0
0 0 1
0 0 0
1 1 2
1 2 1
2 0 2
0 1 2
0 1 1
10 3
0 0 3
0 2 2
3 3 2
2 3 3
0 0 1
0 3 2
3 2 1
2 1 3
2 0 3
2 3 1
10 5
1 2 1
0 0 0
0 1 0
0 2 2
1 0 1
0 1 1
1 0 2
0 2 0
2 0 0
1 2 2
10 4
3 0 1
2 0 3
0 3 2
0 0 1
2 0 1
1 3 3
0 3 1
3 1 2
3 1 1
0 0 0
10 3
1 1 2
0 0 0
2 1 0
2 0 0
2 3 3
0 2 2
2 1 1
2 2 1
0 3 2
0 3 3
10 8
0 0 0
1 0 0
2 0 2
2 0 0
1 2 0
1 1 0
0 1 1
2 2 2
2 2 0
2 1 2
10 6
2 1 0
0 0 2
2 0 1
0 1 0
1 1 2
1 1 1
2 1 1
2 2 0
2 0 0
0 0 1
10 9
0 2 0
2 0 2
0 1 1
1 1 2
2 0 0
1 2 2
1 2 1
0 0 2
0 1 0
0 1 2
10 5
2 0 2
2 3 1
3 1 2
3 2 1
0 1 2
1 1 1
0 3 3
3 0 0
2 1 3
2 1 0
10 6
1 0 2
0 2 0
2 3 2
3 3 2
0 3 1
2 2 3
0 3 3
0 0 0
3 1 2
3 3 3
10 7
0 1 3
3 3 1
2 2 3
2 0 3
2 2 0
0 2 3
1 3 1
3 2 1
0 0 2
0 2 1
10 2
2 2 0
1 0 2
1 1 2
2 0 0
1 0 1
2 1 2
0 2 2
1 0 0
0 2 0
0 0 1
10 8
0 2 0
2 2 0
2 1 2
0 0 1
2 0 2
2 2 2
0 1 2
2 2 1
1 0 1
1 1 1
10 8
3 3 0
0 0 1
0 3 0
1 1 3
3 1 2
0 0 3
2 0 2
3 1 0
1 0 1
3 0 3
10 6
0 0 3
2 1 2
1 3 1
0 3 1
3 3 2
2 2 1
2 2 0
1 0 0
2 0 0
0 1 1
10 9
0 1 0
1 2 0
3 2 3
3 1 2
2 3 3
3 0 3
3 3 3
0 3 1
2 1 3
3 3 0
10 2
0 1 3
0 3 0
1 3 0
2 0 2
1 0 0
0 2 3
1 0 2
0 1 1
3 2 3
0 0 0
10 4
1 0 3
3 0 2
2 3 3
1 2 1
0 2 0
2 0 2
2 1 0
0 3 3
0 0 0
0 1 3
10 7
2 1 0
0 2 2
2 2 2
0 1 0
0 2 0
1 2 1
0 0 0
2 1 2
2 2 0
1 1 1
10 8
0 0 2
0 1 1
0 2 1
1 2 0
2 0 0
0 1 0
1 0 0
2 2 0
1 1 0
0 2 0
10 2
2 2 0
1 1 0
1 0 1
2 0 1
1 1 2
2 1 0
0 2 2
1 2 1
0 0 2
2 2 1
10 9
2 1 1
0 3 3
3 3 3
0 2 3
0 3 1
1 2 1
0 3 0
0 2 1
2 0 2
3 3 1
10 8
0 0 0
3 1 3
0 3 2
2 1 2
0 3 1
1 2 3
2 0 2
3 0 3
0 0 1
1 2 1
10 8
1 0 1
1 0 2
0 0 1
2 1 2
0 1 2
0 2 1
0 1 1
2 1 0
0 2 2
1 2 1
10 7
2 1 2
0 1 1
0 1 0
2 0 2
0 2 0
0 2 1
2 2 0
1 2 0
1 0 0
0 2 2
10 4
0 3 2
1 0 2
1 0 0
0 2 2
3 2 1
2 1 3
1 2 3
3 1 1
0 2 1
1 3 1
10 4
1 1 3
0 2 3
2 3 3
3 0 1
0 1 1
0 3 3
2 2 2
3 1 1
3 1 0
1 2 1
10 8
1 0 0
0 3 1
1 3 3
1 0 3
1 1 0
1 1 2
0 2 2
1 2 0
0 1 0
3 1 0
10 5
0 2 1
1 2 0
0 1 1
2 1 1
2 1 2
2 0 1
1 0 2
2 2 1
0 1 2
1 1 1
10 5
0 0 1
2 0 1
1 3 1
3 0 1
3 0 0
1 2 0
3 1 1
3 3 3
1 1 2
2 1 3
10 2
3 3 2
2 3 2
3 1 1
0 3 2
1 0 3
0 2 2
0 3 1
0 0 0
0 1 3
2 0 0
10 2
3 2 1
2 3 1
1 2 0
2 0 1
1 2 2
3 1 1
1 0 0
0 2 2
3 0 1
0 3 1
10 8
0 0 2
1 0 2
1 2 1
1 1 0
2 2 1
0 1 2
2 0 2
2 1 1
2 2 2
1 0 1
10 9
1 0 1
2 0 2
0 2 2
0 2 0
0 1 0
1 2 2
1 0 0
2 0 1
1 2 1
0 0 2
10 5
0 0 2
2 0 1
0 1 0
0 1 1
2 1 0
0 0 0
2 1 2
1 0 1
1 2 1
1 1 2
10 6
2 2 2
2 0 1
0 1 0
1 0 1
0 2 0
0 2 1
1 2 0
2 1 1
0 1 1
1 0 0
10 6
2 2 0
1 0 0
1 1 2
2 0 0
0 1 1
2 2 1
0 0 0
1 2 2
2 0 1
2 1 2
10 7
1 1 2
2 0 2
1 1 1
0 1 0
2 1 2
1 1 0
2 2 0
0 0 1
1 0 1
1 2 1
10 6
3 1 2
0 3 1
2 2 3
1 1 1
1 0 3
0 0 0
1 3 1
0 0 3
1 1 2
0 1 1
10 7
2 0 1
1 1 0
1 0 1
1 0 0
2 2 0
2 1 1
1 0 2
2 2 2
0 0 2
0 0 0
10 2
2 2 0
2 1 2
2 0 2
0 0 0
1 2 0
1 1 2
0 1 0
2 0 0
2 2 2
1 0 2
10 7
2 3 1
3 3 2
2 0 3
1 0 0
3 0 2
0 3 3
3 3 0
2 1 3
1 2 3
1 2 1
10 5
1 1 1
1 2 1
2 0 1
0 1 0
2 1 2
2 1 0
2 2 2
2 2 0
1 1 0
0 2 2
10 2
2 0 2
0 1 0
1 0 2
1 2 0
1 1 1
2 1 2
2 1 1
0 2 2
0 1 2
2 0 0
10 7
0 0 1
0 3 1
0 1 0
0 1 1
1 1 2
2 1 0
0 3 3
2 2 0
2 2 2
1 3 3
10 7
1 1 2
1 3 0
1 3 3
3 2 0
3 1 1
1 1 3
0 0 0
0 0 1
1 3 2
1 2 0
10 3
1 2 0
0 2 2
2 1 1
1 0 0
0 0 0
2 2 0
1 1 1
0 1 2
1 2 2
0 1 0
10 5
3 1 3
3 2 3
2 3 2
2 1 0
1 3 1
0 1 3
3 2 0
1 0 1
1 3 2
2 3 1
10 7
3 0 0
2 1 1
3 2 3
0 2 2
1 3 3
0 1 1
3 3 3
0 2 1
3 3 1
1 3 2
10 8
0 0 2
1 2 1
2 1 2
2 1 0
1 1 0
1 1 1
2 2 0
0 0 0
1 2 2
1 1 2
10 7
3 2 2
1 2 1
2 2 3
0 3 1
0 3 3
1 0 2
3 0 1
3 0 0
2 0 1
1 3 0
10 3
1 1 2
2 2 0
2 1 0
1 0 0
0 1 2
0 0 0
1 1 1
0 2 0
2 0 0
1 0 1
10 7
1 0 1
0 0 2
0 0 0
0 0 1
1 2 0
2 0 1
0 1 1
1 1 0
0 2 1
1 2 1
10 9
3 3 0
2 1 2
1 3 1
3 2 2
1 0 3
0 2 1
3 0 2
1 3 2
3 1 1
2 0 1
10 7
1 3 0
1 2 3
2 0 3
0 2 2
0 1 1
2 3 3
0 1 0
0 3 0
0 3 3
0 0 1
10 3
1 1 1
2 1 0
0 0 1
0 1 0
0 0 2
0 0 0
2 0 0
2 0 1
2 1 2
1 2 1
10 4
0 1 0
1 2 0
2 1 2
1 1 2
1 0 1
0 2 2
0 1 1
3 0 0
0 1 2
1 2 2
10 7
2 3 0
1 3 1
0 0 1
0 3 2
1 1 0
0 2 2
1 2 0
0 0 0
0 2 0
1 2 3
10 5
2 1 2
1 1 2
0 2 2
1 1 1
0 1 1
1 2 2
0 0 2
1 2 0
0 2 0
0 0 0
10 3
1 1 0
2 1 2
1 0 1
2 0 1
2 2 1
2 1 0
0 1 2
2 0 2
2 1 1
0 0 1
10 2
0 2 1
0 2 2
2 2 2
0 2 0
1 1 2
2 0 1
2 0 2
0 0 1
2 0 0
2 1 0
10 8
0 0 1
2 2 1
2 0 1
2 2 0
0 0 0
0 2 2
2 2 2
2 0 0
0 1 2
2 1 2
10 7
1 3 1
1 2 0
1 0 2
3 1 2
3 0 3
2 0 0
1 2 2
2 3 3
3 1 0
0 2 1
10 5
2 1 2
2 0 0
0 0 2
1 2 2
2 2 2
1 1 2
1 0 0
0 0 1
0 1 0
2 2 0
10 7
2 2 2
0 0 0
2 0 0
1 0 2
1 0 0
0 2 2
2 1 0
0 1 1
2 0 2
2 1 2
10 2
2 0 2
0 2 0
0 0 3
3 2 0
2 2 3
1 2 0
2 0 0
3 0 3
2 2 2
3 2 1
10 9
2 3 1
1 1 2
1 1 0
2 0 3
3 0 1
0 0 1
2 3 3
2 1 3
2 3 2
3 2 1
10 8
2 1 0
2 2 0
1 2 0
1 0 0
2 0 0
0 1 1
2 2 2
2 2 1
0 0 2
0 2 1
10 4
2 2 0
0 1 2
1 0 0
1 2 3
2 0 2
3 2 1
0 3 1
0 0 3
1 1 1
0 2 1
10 9
1 3 2
1 0 1
2 3 2
3 0 3
0 3 3
1 1 2
1 3 3
3 0 1
3 1 0
3 3 1
10 2
1 2 3
3 1 1
0 2 3
1 2 1
2 2 2
2 3 0
1 1 3
0 2 2
2 0 3
3 3 0
10 9
1 1 2
1 2 1
2 0 1
1 2 2
2 1 2
1 0 2
2 1 1
2 2 2
0 1 2
1 0 0
10 3
0 1 2
2 2 2
1 1 0
1 0 2
2 2 0
1 2 0
0 0 2
0 0 1
1 0 0
0 2 0
10 9
1 2 1
0 0 0
0 0 2
2 1 2
1 2 2
2 1 1
0 0 1
1 2 0
2 2 0
1 1 1
10 6
0 2 2
1 2 2
1 2 0
2 2 2
0 0 2
1 1 2
0 1 2
2 1 2
0 2 1
2 2 0
10 9
1 1 1
1 0 2
2 1 1
2 2 1
2 0 0
2 2 0
1 0 0
2 1 2
1 2 2
2 0 2
10 7
1 2 0
1 0 1
2 0 0
0 2 1
1 0 2
2 2 1
1 2 2
2 1 2
0 0 0
2 1 1
10 7
1 0 0
1 1 0
2 1 2
2 1 0
2 2 1
0 1 2
2 0 1
1 1 1
1 0 2
0 2 1
10 3
0 2 1
3 0 3
3 2 0
1 3 3
1 3 2
0 3 2
2 2 0
3 0 1
0 0 3
0 3 3
10 8
2 0 2
0 0 2
0 2 1
2 1 1
1 2 2
0 1 1
2 2 1
1 1 1
1 0 1
2 0 0
10 8
0 3 0
2 1 3
1 0 3
0 3 2
3 2 1
0 1 0
1 0 1
3 2 3
2 2 1
0 1 2
10 3
2 1 1
0 3 1
3 1 2
1 2 1
1 3 3
3 3 3
0 0 0
1 1 3
3 0 2
3 0 1
10 3
1 2 1
2 2 0
0 2 2
2 1 0
0 0 0
1 2 2
2 0 2
1 0 0
1 1 0
2 0 0
10 8
0 1 0
3 3 1
3 2 0
1 3 2
2 0 3
2 0 1
2 2 3
3 0 1
2 2 1
0 2 1
10 8
1 0 1
0 1 2
2 2 2
2 1 2
1 2 2
1 2 1
0 0 0
0 0 2
0 1 0
1 0 0
10 9
3 2 1
1 2 1
0 3 0
2 2 3
1 1 3
3 3 2
0 0 3
3 3 3
2 1 2
2 0 2
10 8
0 1 0
2 0 1
0 1 2
2 0 0
1 0 0
1 0 1
0 2 0
1 0 2
1 2 0
1 2 2
10 5
2 2 2
2 0 2
0 1 1
2 0 1
0 2 0
1 2 2
1 2 1
0 2 1
1 2 0
1 0 2
10 2
2 0 0
0 1 1
0 3 1
1 0 2
3 3 2
0 0 1
1 3 1
1 0 1
1 3 2
2 1 3
10 7
2 2 2
2 0 3
0 1 2
3 1 0
3 1 3
2 2 3
3 2 0
3 3 0
1 1 2
1 2 2
10 4
0 0 1
1 0 1
0 0 2
2 0 1
0 1 0
2 2 1
1 1 0
1 0 2
0 2 2
2 1 0
10 9
3 1 3
0 0 3
0 1 0
3 3 1
2 2 3
1 1 3
2 1 0
2 3 1
2 0 0
1 1 1
10 4
2 0 0
2 1 0
1 1 2
0 0 2
2 1 2
1 1 1
1 2 0
1 0 0
0 1 0
2 2 2
10 2
1 0 1
0 2 2
2 0 2
0 1 1
2 2 1
0 0 2
2 0 0
1 1 1
0 1 0
2 1 2
10 2
0 0 0
0 1 1
1 1 0
0 0 1
2 0 2
0 0 2
0 2 1
2 1 0
1 0 0
0 1 0
10 3
1 1 0
1 1 1
2 1 0
0 2 0
2 2 2
2 2 0
1 0 0
0 1 2
2 0 2
2 2 1
10 4
2 1 2
2 2 2
0 1 1
2 2 0
2 0 1
0 0 2
1 1 0
2 1 0
1 0 0
1 1 2
10 4
1 0 2
2 2 0
1 1 0
1 2 0
0 0 0
0 2 0
2 2 1
0 0 1
0 1 0
1 1 2
10 8
2 2 3
1 0 1
0 1 0
0 1 1
3 0 3
1 0 2
0 1 2
2 3 3
2 0 1
0 3 2
10 8
2 2 2
3 2 0
3 0 0
2 0 0
3 2 3
3 1 0
3 0 2
0 2 2
2 2 1
2 0 2
10 7
2 3 1
0 3 3
2 2 2
1 3 0
2 2 3
2 0 0
1 1 1
0 1 2
3 1 1
2 3 0
10 7
2 0 0
0 0 1
0 2 2
2 2 1
2 2 0
1 1 1
2 1 2
0 2 1
0 1 2
2 0 2
10 4
1 0 2
1 2 1
1 0 1
0 1 0
2 1 1
2 2 1
1 2 0
2 0 1
0 2 2
0 0 2
10 7
2 0 0
3 3 3
3 2 0
1 2 1
1 0 3
3 0 0
3 1 2
1 2 0
3 2 1
3 2 2
10 3
0 0 3
0 0 2
3 1 0
3 1 1
0 1 1
2 3 2
1 2 3
0 2 1
2 3 3
0 0 1
10 9
2 3 3
2 2 2
2 3 1
0 0 3
1 2 0
0 3 2
0 2 3
0 1 3
3 1 1
1 1 1
10 7
2 3 1
0 3 0
1 1 1
3 3 3
3 3 2
0 0 0
2 0 0
3 1 1
1 2 3
3 0 0
10 8
3 1 0
3 1 2
2 1 2
3 3 0
2 2 3
0 1 1
2 3 2
2 3 3
1 2 0
2 1 1
10 4
1 1 1
1 2 1
1 0 3
0 3 1
1 0 2
2 0 3
0 1 1
3 1 3
2 0 2
2 2 0
10 3
1 2 2
0 2 1
1 0 0
1 1 1
0 1 0
0 2 2
2 2 2
0 1 1
2 0 0
1 2 0
10 2
3 1 0
1 1 2
1 0 1
2 2 1
0 3 0
0 3 2
2 2 0
1 3 1
3 1 1
0 1 1
10 7
1 2 2
2 0 0
1 2 0
1 2 1
0 1 2
2 0 2
2 2 0
1 0 2
1 1 1
1 1 0
10 5
2 0 0
3 2 2
3 3 0
1 1 1
2 1 0
1 0 3
1 3 2
1 3 0
0 1 3
0 2 1
10 6
0 3 0
2 2 2
2 2 3
2 0 0
0 1 3
0 2 2
3 2 2
1 3 0
3 0 1
3 1 3
10 2
1 0 2
2 2 2
1 1 2
0 1 0
2 0 2
1 1 1
1 0 1
2 0 1
2 1 2
1 0 0
10 9
0 0 2
0 1 2
1 0 2
0 2 2
0 1 1
2 1 1
1 2 1
1 2 0
2 1 2
2 0 2
10 9
0 0 3
3 0 2
2 3 1
0 1 1
1 3 2
2 2 3
1 1 0
1 0 3
1 3 1
3 2 0
10 7
2 0 1
0 2 1
2 2 2
0 1 2
2 1 0
0 2 2
0 0 1
2 1 1
1 0 1
2 0 0
10 3
0 1 1
2 2 3
2 2 2
1 0 1
3 1 1
0 0 1
1 1 3
3 3 2
2 2 0
0 2 0
10 2
2 1 1
2 2 0
0 0 0
1 2 2
2 1 0
1 2 1
1 2 0
0 1 1
2 2 1
0 0 1
10 2
0 0 1
3 0 0
1 3 2
1 2 2
2 3 0
1 0 1
2 2 3
3 1 3
3 0 3
2 3 3
10 6
0 1 0
1 0 0
3 3 2
1 1 0
0 1 2
0 1 3
0 2 1
0 0 1
2 1 0
2 1 2
10 9
3 3 2
0 2 3
0 3 3
0 0 1
3 0 3
1 0 0
1 3 1
1 3 3
2 0 2
0 2 1
10 4
2 0 2
2 2 0
2 2 1
1 0 0
0 1 1
0 2 0
2 2 2
1 1 2
1 2 2
0 2 2
10 6
2 0 2
0 0 1
0 0 2
2 0 0
1 1 2
1 1 0
1 1 1
1 2 2
1 2 1
2 2 1
10 4
1 0 1
2 1 2
1 1 0
2 2 0
2 2 1
0 2 0
2 1 0
0 2 2
1 0 0
2 0 1
10 3
0 2 0
1 1 1
1 0 3
1 3 2
3 2 2
2 2 1
0 1 0
2 2 3
0 0 1
1 1 0
10 5
0 1 0
2 2 1
0 0 0
2 0 1
1 1 0
2 1 0
2 0 0
0 1 2
1 2 2
0 2 2
10 6
3 1 2
2 0 2
1 0 0
3 2 1
3 0 2
3 0 1
1 3 0
3 3 1
0 0 3
0 2 2
10 3
2 2 0
0 0 1
0 0 0
1 1 1
1 2 1
1 2 2
0 1 1
2 1 1
2 1 0
2 2 2
10 5
2 1 0
3 1 3
0 0 0
2 0 0
3 2 0
2 0 1
0 2 0
1 0 3
1 3 0
2 2 3
10 9
1 0 2
2 0 2
0 0 0
1 1 2
3 2 1
0 3 1
0 0 1
1 1 1
0 1 3
3 3 3
10 6
2 2 1
0 0 2
0 0 0
0 2 2
0 0 1
1 2 1
2 1 1
2 1 0
1 0 1
0 2 1
10 7
2 0 0
0 1 2
2 0 1
0 2 1
1 1 0
2 0 2
2 1 2
1 2 0
0 0 0
2 1 1
10 2
3 2 3
3 3 2
1 2 2
1 3 1
2 1 1
0 2 1
1 1 2
0 3 0
0 2 0
3 3 0
10 6
2 0 2
0 2 0
1 2 2
2 0 0
1 0 1
0 0 0
1 0 0
2 2 1
2 1 2
1 1 0
10 9
1 0 0
1 2 0
3 0 3
0 3 1
3 1 3
1 3 1
2 2 2
2 0 1
0 1 0
3 0 0
10 9
2 1 0
2 0 1
2 2 0
1 0 2
1 2 1
2 0 2
2 2 2
1 1 2
0 2 2
2 2 1
10 2
0 3 2
0 1 0
3 0 2
0 1 2
1 2 2
3 1 0
3 3 1
2 2 0
1 3 2
1 2 3
10 7
3 2 2
2 1 0
1 0 1
3 0 0
2 3 1
0 0 3
2 1 3
2 2 2
1 3 0
0 1 2
10 8
0 2 3
0 0 2
0 3 2
0 3 0
0 3 3
1 3 2
2 3 1
2 0 0
0 1 0
1 0 1
10 4
0 0 2
1 1 2
1 0 2
0 1 1
2 1 2
1 0 0
2 0 1
2 1 1
2 0 0
1 2 2
10 3
0 1 1
2 2 2
1 2 2
2 1 0
0 0 2
2 2 0
1 2 0
1 1 2
2 1 2
1 2 1
10 4
2 1 0
2 2 2
0 0 1
0 0 0
0 0 2
2 1 2
0 2 2
2 1 1
0 1 2
1 0 1
10 9
3 1 2
1 2 0
0 1 3
2 0 2
2 2 2
0 2 0
1 0 0
3 2 3
2 3 2
2 2 3
10 6
2 1 1
2 1 0
0 1 0
1 2 2
0 0 1
2 2 1
0 0 2
1 0 0
0 2 0
2 0 1
10 2
0 3 0
2 0 1
0 2 3
2 1 3
1 1 3
2 3 0
3 3 2
2 2 3
0 3 3
0 0 0
10 2
0 0 0
0 2 0
2 1 0
1 0 2
0 2 2
1 2 1
1 1 1
0 1 1
0 2 1
2 2 1
10 3
0 0 2
0 3 1
3 1 0
2 3 2
0 1 0
2 0 1
3 3 2
1 0 2
2 2 2
0 0 0
10 6
1 0 1
1 0 2
2 2 2
0 2 1
0 0 1
0 1 1
2 1 2
1 1 2
0 0 0
1 0 0
10 6
3 3 3
2 2 1
0 2 1
2 2 0
0 0 1
1 0 2
0 2 2
1 3 2
2 0 2
1 3 0
10 2
1 2 0
1 0 2
2 0 1
2 2 2
0 0 0
0 1 1
1 1 0
0 2 2
0 1 0
0 0 2
10 6
1 1 2
0 0 1
0 2 0
1 1 0
2 1 2
2 1 0
0 0 0
0 1 0
0 2 2
1 2 2
10 7
3 1 1
2 3 3
0 0 3
0 1 0
3 3 0
2 1 1
2 2 1
2 3 0
3 0 2
2 0 1
10 3
3 0 1
0 2 1
2 0 2
0 3 2
1 1 0
2 0 0
3 2 3
1 1 1
0 3 1
3 3 1
10 6
3 1 0
2 0 1
1 0 2
0 0 2
0 1 3
3 1 2
2 1 3
0 2 2
1 2 0
3 2 0
10 6
0 2 2
0 0 2
1 0 2
1 1 2
0 2 1
2 0 0
0 1 1
1 0 1
2 0 1
2 1 0
10 8
3 0 1
1 3 2
0 3 0
1 1 3
1 2 3
0 2 2
2 0 2
3 2 2
2 2 3
3 1 1
10 4
3 1 2
0 1 0
3 1 1
1 1 1
2 2 2
3 2 0
1 0 0
3 3 2
1 2 0
2 0 3
10 8
1 3 3
0 3 2
2 1 3
2 0 0
2 1 2
3 1 3
1 2 0
0 2 1
0 0 2
3 3 2
10 8
2 2 0
1 0 2
2 1 2
0 1 0
0 2 1
0 0 0
0 0 2
2 2 2
1 2 1
2 2 1
10 7
3 1 0
2 1 0
0 0 2
1 1 0
2 1 3
0 1 2
2 1 1
3 3 2
3 2 0
3 3 1
10 6
0 0 1
0 3 2
2 1 3
2 0 2
0 2 3
3 0 0
3 1 1
3 1 3
1 3 0
3 2 3
10 3
0 1 0
0 1 3
2 0 3
2 1 2
0 1 2
0 2 2
1 2 1
1 3 2
0 3 2
1 3 3
10 5
1 2 1
3 0 0
0 2 0
1 2 0
1 2 3
2 0 0
0 3 2
3 3 1
3 3 3
0 0 1
10 9
2 1 2
1 0 1
0 0 0
0 2 1
0 2 2
1 1 0
2 1 0
2 2 2
1 2 2
0 2 0
10 6
2 2 1
1 2 2
0 1 2
0 1 0
1 2 1
2 1 0
1 0 2
2 0 0
0 1 1
0 0 2
10 7
2 3 2
2 0 0
0 1 2
0 3 0
3 1 3
1 2 3
1 2 0
0 0 1
3 0 2
2 3 1
10 4
3 0 0
2 1 2
3 3 0
2 3 2
3 2 0
2 2 3
1 1 3
0 2 0
3 1 2
1 0 3
10 3
2 2 0
1 2 0
2 2 2
0 1 0
2 0 1
2 2 1
1 0 2
1 0 0
2 0 2
2 1 0
10 5
1 2 2
2 2 2
2 2 0
1 1 1
3 1 0
1 1 3
2 1 0
3 3 3
0 3 2
1 2 3
10 6
0 0 2
0 0 0
1 1 0
0 2 1
1 0 2
2 2 1
2 1 2
1 2 0
1 0 1
2 2 0
10 9
3 0 1
1 1 0
1 2 1
3 2 1
2 2 2
2 2 1
1 3 2
2 1 3
1 3 0
3 3 0
10 6
3 0 1
0 1 2
2 1 2
0 3 0
0 0 1
2 1 0
1 1 3
0 1 3
2 3 0
0 0 0
10 6
1 0 1
1 0 0
0 1 0
0 0 2
0 0 1
2 2 1
0 1 1
1 0 2
2 1 2
2 1 1
10 3
2 1 2
3 2 2
0 1 1
1 1 0
2 0 2
1 2 2
0 1 2
2 2 1
1 0 2
1 3 1
10 9
0 0 2
2 0 2
1 0 0
2 0 0
2 0 1
1 2 1
1 0 1
1 0 2
2 1 1
1 1 0
10 8
0 2 1
0 0 0
1 0 1
0 2 0
1 0 0
0 1 2
2 1 0
0 1 1
1 2 2
0 0 2
10 7
1 1 1
0 1 0
0 2 0
1 2 0
0 2 2
0 0 0
1 0 2
2 2 2
2 2 1
2 1 1
10 8
0 1 3
3 0 2
0 0 3
1 1 3
3 0 0
3 2 3
3 0 3
1 3 1
2 0 0
3 0 1
10 2
1 1 2
0 1 1
2 1 0
0 1 2
0 0 0
0 2 2
1 0 2
1 2 0
2 0 0
2 0 1
10 8
2 1 2
2 2 2
0 0 0
2 0 1
1 0 1
0 1 1
2 1 1
1 0 2
2 0 0
1 1 2
10 4
2 1 0
1 2 2
0 1 0
0 1 1
2 0 1
0 0 2
0 0 1
2 1 2
2 2 1
0 1 2
10 4
2 0 1
1 0 2
1 1 2
2 2 1
0 1 0
2 1 1
2 0 0
0 0 2
2 0 2
2 1 2
10 4
3 3 2
2 3 0
1 1 2
0 3 3
2 1 0
2 3 3
3 0 2
1 1 3
2 1 1
1 0 2
10 5
2 1 2
2 2 1
0 0 1
2 1 0
2 2 0
1 1 2
1 0 2
1 2 1
1 0 1
2 0 0
10 8
0 0 0
1 1 1
2 2 2
1 0 1
2 1 1
1 1 2
0 2 2
0 2 1
1 0 0
2 0 1
10 3
0 0 0
0 0 1
0 0 2
1 0 0
3 2 3
3 2 1
0 2 0
3 2 0
0 0 3
1 3 2
10 6
2 3 3
0 1 3
0 2 1
2 0 0
3 2 2
1 0 2
2 2 2
2 3 2
3 1 0
0 2 3
10 8
0 0 3
0 0 1
0 0 0
3 1 1
2 3 2
2 1 2
0 3 3
1 1 3
0 2 3
3 0 3
10 4
0 0 2
0 0 0
0 2 1
0 2 2
2 1 2
0 0 1
2 2 1
1 0 2
1 2 0
0 1 2
10 5
2 1 2
0 3 0
1 0 2
2 0 2
0 1 0
1 3 1
0 3 3
3 0 0
0 1 2
3 1 2
10 7
0 1 3
2 1 0
2 0 0
3 2 1
1 3 1
2 0 3
3 2 2
2 0 1
3 1 2
2 3 1
10 2
0 1 2
0 0 2
1 2 1
0 2 0
0 2 2
0 1 0
1 1 0
2 1 1
2 0 0
2 0 2
10 3
2 0 2
1 2 0
0 2 1
2 0 0
0 0 1
1 1 2
1 1 0
2 1 2
1 0 1
2 1 1
10 7
0 2 0
1 1 1
2 0 3
0 0 3
0 0 1
2 2 1
1 0 2
1 1 2
3 0 2
0 3 3
10 6
1 0 2
0 2 2
0 0 2
1 2 1
0 1 1
2 0 0
1 2 2
0 1 0
1 1 0
0 2 0
10 5
3 1 3
1 2 3
0 1 1
1 0 1
3 0 0
1 1 1
3 0 1
2 3 0
1 2 1
2 1 1
10 9
2 0 1
0 2 2
0 0 2
0 1 0
0 1 2
1 0 2
2 1 1
1 2 1
0 1 1
2 2 1
10 8
1 0 0
1 2 0
0 2 0
1 0 2
0 1 1
0 0 1
1 2 1
2 0 0
2 1 1
2 2 1
10 3
1 1 0
1 2 2
1 0 1
0 0 2
2 2 1
2 0 1
1 1 2
1 1 1
2 2 2
0 2 1
10 7
1 0 1
1 2 2
2 2 2
0 0 0
1 0 2
0 0 1
0 2 0
1 1 0
2 0 2
1 1 2
10 6
3 3 0
3 3 2
3 2 0
1 2 2
1 0 0
3 0 0
3 2 3
1 2 1
1 2 3
0 3 1
10 6
1 0 2
2 1 0
0 1 0
2 2 2
2 0 0
0 2 1
2 0 1
0 1 1
1 1 1
0 0 0
10 4
1 0 3
2 2 0
1 1 3
0 3 0
3 1 3
3 0 2
2 0 3
0 2 1
0 3 2
1 3 2
10 4
2 2 3
3 0 2
3 3 3
0 2 1
1 2 3
2 0 3
3 1 0
3 1 2
1 0 2
1 3 2
10 3
1 3 1
0 1 2
0 1 0
3 3 1
1 0 0
1 1 1
1 0 3
0 3 3
1 2 2
2 0 2
10 4
1 0 2
2 2 2
2 0 1
1 0 0
1 2 1
0 2 1
0 2 0
0 0 0
0 1 2
2 0 0
10 2
2 2 1
1 0 1
2 0 0
2 2 2
0 1 2
0 2 0
0 1 1
0 1 0
1 2 2
1 1 0
10 2
0 0 0
2 0 0
2 1 0
0 0 1
2 2 0
1 1 0
0 2 2
1 0 1
1 2 1
0 0 2
10 9
0 2 0
0 0 1
1 2 0
2 2 0
1 2 2
2 0 1
0 2 2
1 1 0
2 0 0
0 0 2
10 2
2 2 0
2 0 0
2 1 1
0 2 1
1 2 1
2 0 1
0 2 0
0 1 1
1 1 0
0 0 0
10 4
2 2 2
2 2 1
1 2 3
1 3 3
3 1 1
0 1 1
1 0 1
0 2 3
2 1 2
1 0 3
10 5
0 0 2
3 0 0
3 1 3
0 2 1
3 3 2
2 2 2
3 0 2
2 0 2
0 3 3
2 3 0
10 3
1 1 0
1 2 0
1 2 1
1 0 0
0 2 2
0 0 1
0 0 0
0 1 2
2 1 2
0 0 2
10 6
1 2 1
3 3 3
3 3 1
1 3 2
3 1 2
3 1 1
2 3 0
2 2 2
3 2 3
1 3 3
10 7
0 2 0
0 1 0
0 1 1
2 2 2
0 2 2
2 0 1
2 1 0
2 1 2
1 2 2
2 0 0
10 3
0 2 2
1 2 1
1 0 1
2 0 1
0 0 0
2 1 1
0 1 1
0 0 1
1 1 1
2 1 2
10 7
3 2 2
2 2 0
3 0 3
1 2 2
0 2 2
3 1 2
2 0 3
2 1 0
3 0 0
0 2 0
10 8
3 3 2
3 0 1
2 3 2
0 2 3
0 2 2
2 2 1
3 3 0
3 2 2
1 0 0
3 1 1
10 8
1 1 0
0 2 0
2 1 2
1 2 0
0 0 2
1 2 1
2 2 2
2 2 1
1 1 1
0 2 2
10 8
3 1 1
3 0 3
1 2 3
1 0 1
0 0 1
3 2 2
2 3 1
2 3 2
3 2 0
0 2 2
10 7
0 2 2
1 2 1
0 0 2
2 1 1
0 1 2
1 1 2
0 2 0
1 2 0
1 0 0
2 0 1
10 2
2 1 2
2 0 1
0 2 0
0 0 2
1 2 1
1 1 0
0 0 1
1 2 2
0 1 1
2 2 2
10 9
1 2 0
0 1 2
1 0 0
2 1 1
1 1 0
1 2 1
0 2 2
2 1 0
1 0 2
2 2 0
10 3
2 1 2
2 0 0
0 1 0
1 0 0
0 1 1
1 1 2
2 1 1
2 0 1
1 2 0
1 2 2
10 7
0 3 0
3 1 1
1 0 2
1 2 2
3 3 3
2 3 2
0 0 1
1 3 0
2 2 1
2 3 3
10 2
0 0 0
1 1 0
0 2 2
0 1 2
0 1 0
2 1 0
0 0 2
2 0 1
1 2 0
1 2 1
10 7
3 2 0
3 3 0
2 1 1
2 3 0
3 1 0
0 0 0
3 3 1
2 2 2
3 1 3
2 3 1
10 9
0 2 1
3 2 3
1 1 3
2 2 1
1 3 3
0 3 2
1 0 3
3 3 1
3 3 3
1 2 2
10 7
2 1 1
2 0 1
1 0 0
0 2 1
0 0 2
1 2 1
0 1 0
1 0 2
2 2 2
2 0 2
10 9
2 2 3
2 0 1
3 3 0
3 0 2
3 1 1
2 0 3
2 2 2
1 2 3
1 2 2
1 0 3
10 9
0 2 2
0 0 2
2 2 1
1 1 1
1 2 1
2 2 2
1 0 2
2 0 2
1 0 1
2 2 0
10 6
2 1 2
1 1 2
0 0 2
0 1 1
2 2 2
0 1 0
0 0 1
1 0 2
2 2 0
1 0 0
10 4
1 0 1
2 0 3
2 0 1
2 1 0
2 3 2
2 3 1
1 0 3
0 1 1
0 2 2
3 0 0
10 4
0 3 1
2 0 1
2 0 0
1 2 0
1 0 1
3 3 1
1 0 2
1 0 3
2 2 2
0 3 2
10 7
1 1 2
0 2 1
0 2 2
1 2 2
1 2 0
0 0 2
1 0 2
2 2 0
2 2 2
2 2 1
10 6
2 0 0
0 1 3
3 0 1
2 1 3
3 0 3
3 1 0
3 3 0
2 0 1
0 1 1
0 1 2
10 8
0 3 3
3 3 2
2 1 0
1 3 2
0 0 0
1 2 3
3 3 1
0 0 2
2 3 3
0 0 1
10 7
0 1 0
1 0 2
0 2 0
2 2 2
1 1 0
2 0 2
1 2 2
0 0 1
0 1 2
0 2 1
10 6
2 2 2
2 1 0
2 1 2
0 1 0
0 1 2
0 2 0
0 2 2
2 0 1
1 1 0
1 0 2
10 6
3 1 1
0 0 0
2 1 3
1 3 2
2 1 2
3 2 2
3 3 1
1 2 0
2 0 0
2 1 0
10 6
0 2 3
2 3 3
2 1 3
0 0 2
3 0 2
1 3 3
3 3 3
0 2 2
2 0 1
3 1 1
10 6
1 1 1
0 2 3
0 2 2
1 1 2
1 3 2
0 1 3
0 3 1
3 1 2
2 2 0
1 3 0
10 4
0 0 1
2 1 1
1 2 2
2 2 1
0 1 1
1 0 2
0 2 1
2 1 2
0 1 0
1 1 1
10 8
2 0 1
0 2 0
0 0 0
2 2 0
1 2 2
0 1 2
0 2 1
1 1 1
1 0 2
2 2 2
10 4
0 2 1
0 1 1
1 1 0
1 1 2
2 2 0
0 2 0
0 1 0
0 2 2
0 0 0
2 1 2
10 7
0 1 1
1 2 1
2 0 0
0 0 2
2 2 0
2 1 1
1 1 1
0 1 0
2 2 2
1 2 0
10 9
0 3 0
0 1 2
0 2 2
1 0 2
3 1 3
2 1 1
3 2 1
1 1 2
2 2 1
3 3 2
10 8
2 0 2
2 2 1
1 2 2
0 0 0
0 1 1
2 2 2
0 2 2
0 0 1
1 1 0
1 2 1
10 5
1 1 0
0 1 0
0 1 2
2 1 0
2 0 0
2 0 1
1 2 2
2 2 2
2 2 1
1 1 1
10 9
1 2 2
0 0 1
1 0 0
0 1 2
2 2 1
0 0 2
0 1 1
1 2 1
1 2 0
2 1 0
10 3
0 3 1
3 1 1
1 1 3
0 3 2
0 2 0
3 0 0
2 3 1
0 0 3
3 0 2
3 2 3
10 5
0 0 2
0 1 1
1 1 0
1 0 0
2 1 2
1 1 1
0 1 2
1 2 2
2 2 0
2 0 1
10 7
0 1 0
1 2 1
3 2 1
2 0 2
2 1 2
3 1 3
1 3 0
0 0 1
3 2 3
0 2 2
10 7
2 0 0
1 2 0
0 1 2
0 0 2
2 2 0
1 1 2
2 2 1
0 2 0
0 0 1
2 0 1
10 6
0 1 1
2 1 1
2 1 2
0 0 0
2 2 2
2 2 0
2 2 1
0 1 2
1 1 2
1 1 0
10 8
2 0 0
1 0 2
1 2 1
0 1 2
0 0 2
1 2 2
0 1 0
1 1 1
2 1 0
1 0 1
10 5
3 1 2
0 3 2
1 2 1
0 3 3
2 1 0
1 1 2
2 2 3
3 1 0
2 0 3
3 0 3
10 4
1 2 2
2 2 2
2 0 0
0 0 2
2 2 0
1 1 0
1 0 2
1 0 0
2 0 1
1 2 1
10 4
3 3 1
1 0 0
3 2 1
1 1 3
3 1 3
0 0 1
3 3 3
2 0 3
0 2 3
0 1 0
10 3
0 1 2
0 1 0
0 1 1
1 2 1
1 1 2
2 0 0
2 2 2
0 2 0
1 1 0
1 2 0
10 5
2 0 2
1 1 1
0 0 2
2 1 1
2 1 2
1 2 2
2 0 0
0 1 0
0 2 0
0 2 1
10 7
0 3 0
2 3 3
2 0 3
1 1 3
3 1 1
0 0 2
2 3 0
3 2 3
2 1 1
2 2 2
10 3
2 1 0
3 3 2
1 1 0
2 2 1
0 2 0
1 1 3
3 1 0
0 2 2
1 3 2
2 2 2
10 9
2 1 1
2 2 0
1 2 1
1 1 2
1 2 0
2 0 0
0 0 1
2 0 2
0 1 1
2 2 1
10 4
1 0 2
0 2 0
0 3 1
2 3 3
1 2 3
2 1 3
3 3 2
0 0 1
0 1 1
2 1 0
10 9
1 1 0
0 3 1
0 3 2
1 2 0
3 3 2
3 0 2
3 0 0
3 2 1
3 2 0
2 3 3
10 5
0 2 3
1 2 1
2 3 2
0 0 2
1 3 3
0 3 2
2 1 3
3 0 1
1 3 1
2 3 3
10 8
1 0 2
1 1 0
0 1 0
0 2 1
1 0 0
2 1 2
1 0 1
2 0 0
0 0 2
0 1 2
10 2
0 1 1
1 1 0
2 0 2
2 0 1
0 1 2
2 2 0
1 1 2
2 0 0
2 2 1
0 1 0
10 7
1 2 2
0 0 0
0 0 1
2 0 2
1 0 1
1 0 2
0 2 1
2 2 2
2 0 1
1 1 1
10 5
1 2 0
2 2 1
1 1 1
2 2 0
2 0 0
1 2 1
0 0 2
1 0 0
2 2 2
2 1 1
10 7
1 1 1
0 1 1
0 1 0
1 2 0
0 1 2
1 0 0
0 0 2
2 1 1
2 2 0
2 2 2
10 7
3 1 1
1 3 1
0 0 0
3 1 2
0 2 2
0 2 0
2 3 0
1 2 3
2 0 1
2 1 2
10 4
1 1 0
0 0 1
0 2 1
1 2 1
2 2 1
2 0 2
0 2 2
0 1 1
2 0 0
0 1 2
10 4
0 2 3
3 2 0
1 1 2
1 2 0
0 0 0
0 3 2
3 0 3
2 1 2
3 0 2
0 1 1
10 4
0 2 2
1 1 2
2 0 0
0 1 0
1 0 0
2 1 0
1 0 1
2 1 1
1 2 0
1 1 0
10 8
0 1 2
2 2 0
2 1 2
0 1 0
1 2 0
1 0 2
1 2 1
0 2 1
1 1 1
2 1 0
10 4
0 2 3
2 3 0
2 1 2
2 0 0
0 3 3
1 3 3
0 0 3
1 3 1
0 1 1
0 0 2
10 9
1 2 0
2 2 0
0 0 1
0 2 1
0 1 0
0 0 2
1 0 1
1 0 0
2 0 0
1 1 1
10 7
0 0 1
1 0 1
2 0 1
2 1 2
0 0 3
2 2 1
3 0 0
1 3 1
3 1 1
0 3 3
10 7
0 2 2
1 0 2
1 2 2
0 1 2
1 0 0
1 2 1
1 1 2
0 1 0
2 0 0
2 2 2
10 9
0 1 0
1 1 1
2 0 2
0 0 2
2 1 2
1 0 1
0 2 2
1 1 0
1 0 2
1 1 2
10 3
0 1 1
0 0 1
2 1 1
2 2 1
1 0 1
2 2 0
1 1 2
0 0 0
1 2 1
2 2 2
10 4
3 0 0
0 2 1
2 2 3
1 1 2
1 3 1
3 3 1
3 1 2
3 0 1
2 0 1
2 0 3
10 6
0 0 2
0 1 0
2 2 0
1 2 2
1 1 0
2 1 2
2 0 1
1 0 2
2 1 0
2 0 2
10 2
0 1 0
2 0 2
1 2 2
0 1 1
1 0 2
0 2 1
1 1 1
2 1 2
2 2 2
0 2 2
10 4
2 2 3
1 1 2
3 1 2
2 0 0
3 2 2
0 1 1
0 3 2
0 2 1
3 0 2
0 1 3
10 4
2 1 1
2 0 0
2 2 0
0 0 1
1 2 1
0 1 1
0 2 1
1 1 0
1 0 2
2 1 0
10 6
2 1 1
2 2 1
1 1 2
1 2 2
1 1 0
1 0 2
1 1 1
0 0 0
2 1 2
1 0 0
10 8
0 1 2
2 0 3
3 3 1
3 2 2
2 1 1
0 3 1
1 0 2
3 1 0
1 2 0
0 1 3
10 8
1 0 2
2 0 0
1 1 0
0 2 0
2 1 0
2 2 1
1 2 2
0 1 1
0 2 1
2 2 0
10 6
0 2 0
0 0 1
0 2 1
1 0 1
0 0 0
0 2 2
2 2 0
2 0 1
2 0 0
2 1 2
10 6
2 1 0
2 2 0
0 0 1
2 0 1
2 2 1
2 1 1
1 2 2
2 0 2
0 2 0
1 0 0
10 9
1 0 1
2 1 1
2 2 0
1 0 2
0 0 1
2 0 2
1 2 0
0 2 1
0 2 2
2 2 2
10 3
0 2 2
2 2 1
1 0 2
0 1 1
0 2 0
1 2 2
1 2 0
0 2 1
1 0 1
1 1 2
10 5
2 2 1
0 0 2
0 2 0
2 0 1
0 1 0
2 0 0
1 0 2
2 2 0
2 2 2
2 1 1
10 2
0 1 2
3 2 1
2 2 1
0 2 1
1 1 0
1 2 2
1 1 1
2 1 0
1 2 3
0 3 1
10 4
2 0 3
3 1 0
1 1 1
3 2 3
3 3 3
0 0 2
0 1 1
2 1 0
0 1 3
2 2 3
10 6
0 0 1
3 0 1
1 0 2
2 1 2
2 3 0
0 1 0
3 2 3
0 1 1
0 2 3
1 0 3
10 4
2 0 1
1 3 3
1 1 3
1 2 3
3 1 0
2 2 1
0 2 3
3 2 3
1 2 2
2 3 3
10 7
0 2 1
2 1 0
0 0 2
1 2 1
0 2 0
1 1 1
2 2 0
0 0 0
0 2 2
1 0 2
10 2
2 2 2
1 1 0
0 2 0
0 1 0
2 2 0
1 1 2
2 0 2
1 0 0
0 2 2
1 2 1
10 4
0 2 2
0 0 1
1 0 0
2 2 1
0 1 2
1 2 1
1 1 1
2 0 1
1 1 2
1 1 0
10 5
3 1 0
3 0 0
2 3 1
2 1 2
1 1 0
2 1 1
1 0 3
1 1 2
1 3 2
0 0 1
10 5
2 0 3
1 2 3
1 0 1
1 3 3
2 1 3
3 3 1
3 0 3
3 1 2
0 3 2
2 1 1
10 7
0 2 1
1 3 0
2 0 1
0 0 1
2 2 1
2 0 2
1 0 3
1 0 1
3 3 3
3 0 1
10 9
2 1 1
1 2 0
1 0 0
1 2 2
2 1 2
2 0 2
1 1 0
2 2 2
1 1 2
2 0 1
10 3
2 2 1
0 2 0
1 0 2
2 1 0
2 1 1
0 2 2
0 2 1
2 2 0
2 0 0
0 0 1
10 4
0 1 1
1 3 2
3 2 3
2 2 1
1 2 0
3 3 3
0 3 2
2 3 0
2 3 1
3 0 0
10 4
0 2 1
0 0 1
3 3 1
2 3 3
2 2 0
2 1 2
2 0 1
0 1 2
1 0 2
3 1 2
10 5
2 3 2
0 3 1
2 1 3
0 0 2
2 3 3
0 2 0
3 3 3
3 2 2
1 3 3
3 3 1
10 4
2 2 3
2 3 3
3 2 0
1 2 3
1 1 0
1 0 2
2 0 0
0 3 1
3 0 0
1 3 0
10 9
3 3 2
1 0 0
0 2 1
2 2 3
3 2 2
3 2 3
2 2 1
2 2 0
0 2 2
0 0 1
10 2
1 0 2
0 0 1
1 0 1
1 2 0
0 0 2
1 1 1
2 2 2
0 2 0
2 0 2
2 2 0
10 3
0 1 2
2 3 3
2 1 2
1 1 3
3 2 3
2 0 1
2 2 2
3 1 3
3 0 2
1 2 3
10 9
3 1 2
0 0 0
3 2 3
3 2 2
1 2 0
1 2 2
2 0 3
2 2 0
2 1 2
3 1 1
10 3
0 1 0
3 3 1
2 1 1
3 3 3
3 2 2
2 0 0
0 3 1
1 0 3
1 0 2
0 2 1
10 3
0 2 2
2 2 0
1 0 1
2 0 2
0 1 2
2 0 1
2 1 2
2 2 1
0 2 1
1 1 1
10 9
1 3 2
2 3 2
2 2 0
2 0 2
0 0 1
1 0 1
1 3 3
3 0 0
0 2 0
3 3 3
10 3
2 1 2
0 2 1
1 2 0
2 2 2
2 1 1
1 2 1
1 0 2
1 0 0
2 2 1
0 0 1
10 4
0 0 2
2 1 0
2 2 0
0 1 2
1 1 1
2 0 0
0 2 0
0 0 0
2 1 1
2 2 2
10 7
2 2 3
1 2 3
2 0 0
1 1 3
2 2 1
0 3 1
3 2 2
1 0 0
1 2 0
3 2 0
10 8
0 1 1
2 0 0
0 1 2
1 2 1
2 1 2
2 2 1
1 1 1
2 0 2
1 1 2
0 0 2
10 2
2 1 3
1 1 3
1 0 2
2 1 2
1 1 2
2 0 3
2 1 1
1 2 0
1 0 0
2 3 2
10 5
1 2 3
1 1 0
0 1 3
2 3 0
2 2 3
0 3 3
3 3 1
0 0 0
1 0 3
0 3 0
10 4
2 2 1
2 1 0
0 1 2
0 1 3
2 2 0
0 0 3
2 3 1
0 0 0
1 0 2
2 3 3
10 2
1 2 0
0 0 2
0 1 1
1 1 0
2 2 2
2 0 1
1 0 2
0 2 1
2 1 1
2 0 2
10 5
3 0 2
0 1 1
0 0 0
2 3 0
1 2 3
3 3 1
2 1 1
0 2 2
0 3 2
0 3 0
10 6
2 0 1
1 0 0
0 1 1
2 2 0
2 0 0
0 0 1
1 1 2
0 2 0
0 1 0
1 2 2
10 4
1 2 1
3 1 3
1 2 2
3 1 0
3 2 1
0 0 0
0 3 2
1 1 2
2 3 2
1 0 2
10 4
2 3 1
2 3 0
2 3 3
2 2 0
1 2 2
0 1 1
3 0 2
3 3 2
0 0 2
1 0 3
10 5
1 2 2
1 0 2
0 2 2
0 2 0
1 2 0
0 0 2
1 0 1
1 1 2
2 2 2
0 2 1
10 5
1 0 2
2 0 0
2 0 2
1 1 0
0 2 0
0 1 2
1 2 0
1 2 2
0 0 2
0 0 1
10 7
2 3 1
2 0 1
1 0 1
1 2 0
2 2 1
2 0 2
0 2 0
2 0 0
3 1 2
0 3 1
10 2
0 0 3
3 0 3
1 3 0
2 2 3
2 0 0
3 3 2
3 2 2
3 1 1
1 1 0
3 0 2
10 2
2 2 0
1 2 2
1 1 1
2 1 2
1 1 0
1 0 1
1 0 0
0 2 2
2 1 1
1 2 0
10 6
0 0 1
2 0 1
1 1 0
0 0 0
0 0 2
1 0 1
0 2 1
0 2 2
2 2 0
0 1 1
10 7
1 1 0
2 3 2
2 0 1
1 2 0
1 0 1
2 3 1
0 0 2
1 1 2
1 3 2
1 0 2
10 7
1 0 1
0 0 2
1 3 3
2 1 2
0 1 3
2 0 0
1 1 1
2 1 3
0 0 1
1 0 2
10 7
2 1 0
2 1 2
0 1 0
2 2 1
0 2 1
2 0 0
2 2 0
2 0 1
1 2 1
0 1 2
10 9
2 0 1
1 2 0
1 0 2
1 2 1
2 1 1
2 2 1
1 0 0
0 2 0
2 2 0
1 1 2
10 2
2 1 0
0 1 1
1 0 2
1 2 1
0 2 1
1 0 1
2 2 0
1 1 2
0 0 2
2 2 1
10 3
3 3 2
0 3 0
3 2 0
2 0 2
1 2 2
1 3 2
2 3 1
3 2 1
1 2 3
0 0 2
10 8
0 2 0
2 2 0
3 1 2
2 3 3
0 0 1
2 1 0
2 1 1
3 2 0
1 1 3
1 0 2
10 4
2 1 0
1 0 1
1 1 1
0 0 0
0 0 2
0 1 0
0 1 2
1 2 1
2 2 0
2 1 2
10 2
3 3 3
3 2 0
2 3 1
1 2 2
0 0 1
0 1 2
1 0 1
2 0 1
0 2 2
1 0 2
10 9
1 1 1
2 2 2
0 0 1
1 2 0
1 2 1
0 0 0
2 1 0
0 1 2
2 0 2
1 0 0
10 7
1 0 2
2 2 0
2 0 0
1 2 0
0 0 2
0 1 1
1 1 2
1 1 0
2 2 2
2 1 0
10 6
0 2 2
0 0 2
0 3 3
3 0 2
0 0 3
2 1 2
3 1 1
1 0 3
0 2 0
3 1 0
10 6
3 0 2
2 3 0
2 2 0
2 3 3
1 2 2
0 0 0
1 0 3
3 0 1
0 0 1
2 2 3
10 6
0 2 1
0 3 1
3 2 1
0 3 2
1 1 0
2 1 3
3 3 0
1 0 1
0 1 2
3 3 3
10 4
1 2 1
2 1 0
2 0 3
1 1 2
0 2 0
3 0 1
2 1 1
1 0 0
2 2 3
3 2 0
10 2
1 0 1
3 1 0
1 2 0
3 0 2
0 2 1
0 3 0
3 3 0
2 3 0
2 3 2
0 3 2
10 5
2 0 0
2 1 0
1 0 1
0 1 2
2 1 1
0 1 0
1 1 0
1 0 2
2 0 2
1 2 0
10 2
2 2 2
2 2 0
1 2 0
1 2 2
1 0 1
0 1 0
0 0 1
0 2 1
0 0 2
0 2 0
10 6
0 1 1
2 2 1
2 2 0
0 0 1
0 1 0
0 2 0
2 0 0
0 2 1
1 1 2
2 1 1
10 7
0 1 2
0 0 0
2 1 1
0 0 2
1 2 0
1 2 2
0 2 0
1 1 1
1 0 2
0 0 1
10 8
0 3 0
1 2 0
2 1 0
0 0 0
0 2 3
2 0 3
2 3 3
1 1 1
2 2 2
3 3 3
10 8
1 0 3
1 0 0
0 3 1
0 0 0
1 2 2
2 1 1
0 2 2
2 1 3
0 2 3
3 3 2
10 2
1 0 2
2 0 1
2 2 1
0 2 0
1 2 2
0 1 2
2 1 1
2 2 0
0 0 2
1 2 0
10 5
2 0 2
0 2 1
1 1 0
2 1 0
0 0 2
1 0 2
1 2 2
0 0 0
2 0 0
1 0 0
10 2
0 0 2
0 2 0
1 0 0
2 0 2
1 2 0
2 0 1
1 1 2
0 1 0
1 1 1
0 2 1
10 9
2 0 3
2 1 3
2 2 1
3 1 0
0 0 3
2 0 0
3 3 0
1 1 1
3 0 2
3 1 1
10 7
0 0 1
0 2 1
0 1 1
2 1 2
1 2 1
0 1 2
1 2 2
0 0 2
1 0 2
2 0 1
10 6
1 2 0
1 3 3
0 1 2
2 3 3
1 3 0
2 3 2
0 2 2
2 2 1
2 0 1
0 1 0
10 5
1 1 3
3 2 0
0 2 1
0 0 0
2 1 2
3 3 2
1 0 3
2 3 0
1 0 0
0 1 2
10 6
1 2 2
0 2 2
2 2 1
1 0 0
1 1 2
1 1 1
2 2 2
1 2 0
0 2 1
2 1 0
10 4
0 3 3
2 0 0
0 2 0
2 3 2
2 1 1
3 3 1
2 3 3
3 3 0
0 3 0
2 2 0
10 3
3 1 2
2 3 0
0 3 2
2 2 3
0 2 3
1 1 3
2 3 3
0 1 2
1 2 0
3 2 2
10 4
1 1 3
1 2 1
3 1 0
2 1 0
0 1 3
2 2 3
3 1 3
0 0 0
0 3 1
1 0 2
10 5
1 2 1
2 2 3
3 0 2
1 1 1
0 0 2
1 2 2
2 2 2
2 2 1
1 0 3
0 3 3
10 5
2 3 3
1 2 1
1 1 1
1 0 0
2 3 0
3 2 0
2 2 2
1 1 0
1 3 1
3 1 1
10 4
3 2 1
3 3 2
2 1 2
2 0 1
1 3 0
0 1 3
1 1 0
1 2 1
1 1 3
3 1 1
10 6
2 2 0
1 0 0
0 0 2
0 0 1
0 2 2
1 0 2
1 2 2
1 2 1
2 2 1
1 2 0
10 2
1 0 2
0 0 0
1 2 2
1 1 1
1 2 0
2 1 0
1 0 0
0 2 2
2 2 2
2 0 2
10 7
0 2 2
2 2 2
3 1 1
1 1 0
3 2 1
0 1 3
0 3 3
3 3 1
3 3 3
2 1 3
10 2
3 0 0
1 3 0
0 3 0
3 2 0
3 3 3
2 2 0
2 1 3
0 2 3
2 1 1
1 3 3
10 6
3 2 2
3 0 3
1 2 0
0 2 1
1 3 1
2 1 3
1 0 3
3 2 1
1 0 1
0 3 0
10 9
0 0 0
2 0 2
0 2 0
1 0 2
2 1 2
2 2 1
2 1 1
1 2 1
0 0 2
1 1 1
10 5
3 2 3
0 3 0
3 3 1
1 3 1
2 0 1
3 3 0
3 0 3
2 0 2
3 0 2
2 0 3
10 9
3 0 2
2 0 0
0 0 1
1 2 0
2 2 0
2 3 0
3 2 3
1 3 0
1 2 3
0 3 1
10 4
1 1 0
0 0 0
0 2 2
1 1 1
2 0 2
2 0 1
0 1 1
2 1 1
1 2 2
2 2 1
10 6
1 0 2
0 1 2
2 1 0
0 2 0
1 2 0
0 2 2
0 2 1
1 2 2
2 2 0
2 1 2
10 2
0 0 1
0 0 2
0 2 2
1 0 2
2 2 1
0 0 0
2 1 1
2 0 0
1 2 1
1 1 2
10 6
0 1 2
2 0 1
1 1 2
1 0 0
2 2 0
2 0 0
0 1 0
2 2 2
0 2 2
2 1 2
10 9
2 1 0
0 2 2
2 0 0
2 0 2
2 2 1
0 2 1
0 1 2
0 1 0
1 1 2
1 2 1
10 7
2 0 0
1 1 1
2 1 0
2 2 2
0 1 0
0 2 0
2 2 0
0 0 2
2 0 2
1 1 2
10 3
3 3 2
2 2 0
3 0 0
2 0 3
1 2 2
0 2 0
0 3 2
0 2 1
3 0 3
3 1 1
10 7
2 0 1
0 2 1
1 1 0
0 1 1
0 1 0
1 0 0
2 2 0
0 0 1
0 2 0
1 1 2
10 9
0 0 3
2 2 3
3 2 0
2 1 1
3 3 0
0 1 1
3 0 3
2 2 0
3 1 3
2 1 0
10 4
1 3 3
2 2 2
3 0 1
3 3 2
3 1 2
2 0 2
2 1 1
0 2 2
1 2 3
3 1 3
10 2
2 1 2
2 3 0
3 1 3
3 3 2
3 3 1
0 3 0
2 0 1
0 0 1
3 0 1
1 1 1
10 9
0 1 2
1 0 1
0 1 1
2 0 0
2 0 2
2 2 1
0 1 0
0 2 1
2 1 0
1 0 0
10 4
2 0 1
2 0 2
0 0 1
2 2 0
1 1 1
2 0 0
1 0 2
1 2 2
1 0 1
0 0 0
10 7
1 1 2
2 2 2
2 1 1
2 2 1
2 1 2
0 2 2
2 0 2
1 0 2
0 1 0
2 0 1
10 8
3 1 3
1 2 1
3 0 1
2 3 1
1 0 2
1 0 0
3 3 0
2 2 3
0 0 3
1 2 3
10 2
2 3 3
1 3 1
2 3 2
1 3 3
3 1 0
0 1 2
3 1 3
2 3 0
1 1 0
3 2 1
10 2
2 0 1
1 2 2
2 0 0
2 2 0
2 2 1
2 1 0
1 2 1
1 1 1
2 0 2
0 0 1
10 2
0 3 1
0 1 2
0 2 0
2 2 2
2 1 2
1 3 3
0 2 1
3 3 3
0 3 0
3 3 1
10 8
1 2 0
2 0 2
1 2 1
2 0 1
0 2 1
1 0 1
2 2 2
0 0 2
1 1 0
1 2 2
10 4
0 0 1
2 2 2
2 0 0
1 1 0
2 0 2
2 2 1
0 2 0
2 2 0
1 1 2
0 2 1
10 3
1 3 3
2 0 2
1 0 1
0 2 2
0 1 3
1 1 3
3 1 0
3 0 3
2 1 1
1 0 0
10 9
2 0 1
2 1 1
2 0 2
1 2 1
0 1 0
0 0 2
2 2 0
2 1 0
0 2 0
1 0 2
10 7
1 1 1
0 1 1
1 0 1
2 2 0
0 2 2
2 0 2
2 1 2
0 2 0
1 2 2
0 1 2
10 9
0 2 1
2 2 1
1 0 1
2 0 0
2 2 0
0 0 2
0 1 2
0 0 1
0 2 2
2 2 2
10 4
2 0 0
0 1 0
1 1 1
0 1 2
2 2 1
2 0 2
0 2 0
2 0 1
0 2 1
0 0 0
10 3
3 1 2
0 2 0
1 3 2
0 1 1
1 0 3
0 1 2
1 3 0
3 3 3
3 2 0
3 1 3
10 9
1 0 3
3 0 0
3 2 2
1 1 1
1 3 3
2 3 1
1 3 0
1 0 1
1 2 3
0 2 3
10 7
1 3 0
0 0 2
0 3 2
3 0 0
2 3 3
2 2 2
3 3 1
1 2 0
0 2 1
3 2 0
10 3
2 3 0
0 2 0
2 2 3
2 2 0
3 1 1
2 1 3
3 3 1
0 3 1
3 0 2
0 0 3
10 6
0 1 1
2 0 1
0 2 2
1 0 2
0 0 1
1 2 2
2 2 1
1 2 1
1 0 0
0 1 0
10 9
2 1 0
0 2 0
0 1 2
3 1 1
1 0 0
2 1 2
1 1 0
0 0 2
0 1 1
1 0 3
10 4
3 0 1
0 1 3
1 1 1
1 0 1
0 2 3
2 2 3
3 3 2
3 1 0
3 1 2
1 3 0
10 7
0 1 1
2 0 0
1 1 0
0 0 0
1 0 2
2 1 2
2 1 1
0 1 0
2 0 2
2 2 2
10 8
1 2 1
2 0 1
2 1 0
0 2 2
1 2 0
0 2 0
1 0 2
2 0 0
1 1 0
2 2 0
10 2
1 1 0
1 0 2
0 0 2
0 2 1
0 2 0
1 2 2
1 0 0
0 0 1
1 0 1
0 1 0
10 6
0 1 2
1 1 0
1 3 1
0 1 1
3 1 1
3 3 2
1 3 0
0 1 0
3 2 1
0 1 3
10 2
0 2 3
1 3 3
1 0 3
0 0 2
0 2 0
2 0 2
3 2 3
2 2 1
1 2 0
0 3 3
10 4
2 1 1
1 1 0
2 0 2
0 0 1
1 2 1
0 2 1
2 1 0
1 2 0
2 2 2
1 1 1
10 7
1 1 0
0 2 2
2 0 0
0 0 0
2 0 1
2 1 2
1 2 1
2 2 0
1 0 2
0 0 1
10 4
0 2 2
2 1 2
1 0 2
0 1 0
1 1 0
0 1 2
0 0 2
2 0 2
1 2 0
0 1 1
10 4
1 0 2
0 1 1
1 0 0
1 3 0
3 0 0
3 2 3
0 3 0
2 0 3
0 3 1
0 2 1
10 9
2 1 3
2 0 1
1 2 0
0 1 2
3 1 3
3 3 3
1 3 2
3 1 0
3 2 3
1 0 0
10 4
0 0 2
0 1 0
1 2 0
1 2 1
1 0 3
1 1 1
1 1 2
2 0 1
1 3 1
0 1 2
10 4
0 1 1
0 0 2
2 0 2
2 2 2
2 0 1
2 1 1
1 0 2
2 0 0
0 2 2
0 0 0
10 5
1 0 2
2 2 1
2 0 0
2 0 2
0 0 1
0 1 2
1 2 0
2 2 0
2 1 0
1 2 1
10 4
0 0 2
2 0 0
1 1 2
0 2 1
0 0 1
2 2 0
2 2 1
0 1 0
0 2 2
2 1 0
10 8
0 2 0
2 2 0
0 2 1
1 2 0
1 0 0
0 1 1
1 1 0
2 0 1
0 1 2
0 0 2
10 2
2 1 1
2 0 2
2 0 1
0 2 1
0 0 0
1 0 1
1 1 2
2 2 0
0 2 0
2 2 1
10 7
1 1 2
1 2 0
2 0 0
0 1 0
0 2 2
1 0 0
1 1 1
1 0 1
0 0 2
0 0 1
10 2
0 2 2
0 2 0
1 0 1
1 2 0
0 2 1
2 1 2
1 1 0
3 1 0
1 1 1
1 1 2
10 6
2 1 1
3 2 1
1 2 3
1 0 1
0 2 2
1 3 0
3 0 0
2 3 0
2 2 0
3 0 1
10 6
1 2 2
2 2 0
0 1 1
2 1 2
1 2 1
1 1 2
0 2 0
0 0 2
2 0 0
1 1 1
10 3
0 3 2
3 0 1
1 3 0
0 3 0
1 3 2
0 0 3
3 0 3
3 2 2
2 0 2
0 1 0
10 2
3 2 2
0 1 0
2 1 2
2 2 3
0 0 1
1 3 0
2 3 0
3 3 3
0 2 2
3 2 0
10 3
0 0 2
0 0 1
0 1 0
1 0 2
0 1 1
0 2 0
1 0 0
2 1 1
2 2 1
1 0 1
10 5
0 1 2
1 1 2
2 0 0
2 1 2
0 2 1
0 0 1
1 2 2
2 1 1
0 1 0
0 1 1
10 5
1 0 2
0 3 0
3 2 0
1 3 2
2 0 1
3 2 1
2 2 3
0 2 2
2 3 0
3 0 1
10 5
1 2 0
2 1 3
1 2 2
3 2 3
3 1 3
1 1 2
2 3 2
0 2 2
2 3 0
0 2 0
10 3
2 2 0
0 0 1
2 2 2
0 2 1
2 0 1
1 2 0
1 1 1
0 0 2
0 0 0
0 1 0
10 3
0 0 3
1 1 3
3 1 3
0 3 0
2 0 3
1 2 0
0 0 1
1 0 0
3 2 1
0 2 3
10 5
2 1 1
2 0 0
1 0 2
2 0 2
1 0 1
2 1 0
0 1 1
2 2 1
2 2 2
0 1 0
10 2
2 1 2
2 1 0
0 1 1
1 1 1
0 0 1
0 1 2
0 0 2
1 2 1
0 2 0
1 0 0
10 2
1 2 0
1 2 2
0 0 0
1 2 1
2 0 2
2 2 0
0 1 0
0 2 0
0 2 1
1 0 1
10 7
3 1 1
3 3 0
3 0 0
1 0 1
2 1 3
2 0 2
1 1 3
2 0 1
2 0 0
1 3 1
10 2
0 3 2
0 1 1
0 2 3
3 3 3
2 1 0
2 1 1
2 3 3
2 2 2
3 1 3
0 2 1
10 9
0 1 0
1 2 2
1 1 1
2 0 2
1 0 0
0 2 0
1 0 2
0 1 2
2 2 0
2 1 2
10 6
1 2 1
2 1 1
2 2 3
1 1 1
0 0 1
2 1 0
3 2 0
0 3 0
2 3 0
1 0 2
10 8
0 1 1
1 2 1
1 0 2
0 0 0
2 2 2
2 1 2
1 1 2
1 0 1
2 1 1
1 2 0
10 9
2 2 0
0 2 2
2 0 1
2 2 1
0 1 2
0 0 1
1 2 2
2 1 2
0 2 1
1 0 1
10 5
0 2 0
1 2 0
0 1 2
0 0 2
2 2 2
2 2 0
2 2 1
2 1 2
2 0 2
1 0 2
10 6
2 1 0
0 2 2
2 2 1
2 0 2
2 0 0
1 0 2
2 1 2
1 0 1
1 1 1
0 1 2
10 6
2 1 0
0 2 1
2 1 2
0 1 1
1 0 1
1 0 0
2 2 2
2 2 0
0 0 1
0 0 0
10 7
1 1 1
3 2 2
3 2 0
0 0 3
1 2 1
0 3 2
2 3 0
3 2 1
0 0 0
3 3 2
10 2
2 2 2
1 3 0
0 2 3
3 0 1
3 2 3
3 1 0
1 3 2
1 2 2
3 1 2
0 1 1
10 9
0 0 2
0 1 1
0 2 0
2 0 2
2 0 1
0 2 2
1 0 1
1 2 1
1 0 2
1 1 1
10 2
0 0 0
1 0 2
0 2 2
0 2 0
2 1 0
2 2 1
2 2 0
1 2 2
1 0 0
0 1 2
10 3
1 0 2
1 1 0
0 1 1
0 0 2
2 0 2
2 2 2
2 2 1
2 1 1
0 0 0
0 1 2
10 9
2 3 0
0 0 2
2 0 2
1 3 0
1 2 3
3 1 2
1 0 1
0 0 1
0 3 0
2 3 3
10 6
0 2 2
2 0 2
2 2 2
1 1 0
2 1 2
2 2 0
0 2 1
2 0 1
1 0 2
0 0 2
10 8
2 0 1
2 1 0
1 0 2
0 1 0
1 1 2
2 2 2
2 0 0
1 1 0
2 2 1
0 0 1
10 6
0 2 1
2 2 0
0 1 1
0 2 2
1 0 0
1 0 1
0 0 2
2 0 1
1 1 0
0 1 2
10 4
1 0 2
2 1 1
0 1 0
0 1 2
2 0 0
1 1 0
1 2 1
1 0 0
1 0 1
2 2 0
10 3
0 2 1
1 0 1
0 1 2
0 1 0
2 1 2
2 0 2
1 1 1
0 1 1
1 2 2
2 0 0
10 5
0 3 3
0 2 0
0 0 2
1 2 1
1 0 0
2 3 0
3 3 1
0 1 2
1 1 1
3 0 3
10 9
0 0 0
0 0 2
2 0 0
0 1 0
1 0 2
1 1 1
1 1 0
1 2 0
0 1 2
0 1 1
10 3
1 3 3
0 3 2
0 1 0
2 1 0
2 3 0
3 1 3
2 1 1
0 3 3
2 3 1
0 1 3
10 9
2 2 2
0 2 0
3 0 1
1 2 0
3 3 0
2 3 3
0 2 3
1 3 0
2 1 1
1 2 1
10 3
2 0 3
3 2 0
1 2 3
1 3 0
1 1 2
3 3 0
2 2 2
1 2 2
2 2 0
3 3 2
10 9
0 1 1
2 2 0
1 0 0
0 0 3
3 1 2
0 1 2
1 3 1
0 2 0
0 0 2
2 1 1
10 4
0 0 1
0 1 1
1 2 1
2 2 1
1 1 2
0 2 2
0 2 0
2 0 0
2 0 1
1 0 2
10 6
0 1 1
2 2 2
2 0 0
1 2 0
2 1 3
0 0 1
0 2 1
0 3 0
3 1 1
2 0 1
10 8
1 3 1
3 1 2
1 1 2
1 3 0
3 3 2
3 2 1
3 0 0
0 0 1
0 0 2
3 1 1
10 8
2 0 0
2 3 1
1 1 1
2 3 0
3 2 1
1 3 3
2 3 2
3 3 0
1 3 1
0 1 2
10 5
1 1 2
3 0 0
2 3 2
3 3 0
3 1 2
3 3 2
1 0 0
3 2 3
2 3 0
0 3 0
10 3
1 1 1
0 1 2
2 3 0
2 0 0
2 3 2
1 0 1
2 2 1
0 0 1
0 3 3
2 1 3
10 8
2 0 0
0 0 1
1 1 3
2 0 3
2 2 0
2 2 2
0 2 1
3 0 0
3 2 2
3 2 1
10 9
2 0 2
2 0 1
1 0 0
1 1 2
0 1 1
1 0 2
0 0 1
0 0 2
2 1 0
1 0 1
10 3
1 2 1
3 2 2
3 1 2
2 2 0
3 0 2
2 1 3
2 3 0
1 3 3
0 2 2
3 1 3
10 2
1 2 3
3 1 0
2 3 3
0 0 3
1 3 1
0 3 0
0 2 2
2 0 1
0 2 3
2 2 2
10 4
0 3 2
2 3 1
1 2 2
2 2 2
0 0 2
1 3 2
3 2 1
3 0 1
2 1 2
2 3 0
10 6
3 3 0
0 1 2
0 0 3
3 1 2
0 1 1
3 0 3
3 2 0
1 0 3
2 0 2
3 0 2
10 5
3 3 0
3 3 1
1 0 3
2 2 3
2 0 2
0 1 3
1 3 3
3 1 0
2 0 1
1 1 3
10 6
0 0 2
2 2 0
2 0 2
0 0 1
2 2 2
1 1 0
0 2 1
0 1 2
2 0 0
1 0 2
10 6
2 1 2
0 1 1
2 2 0
1 2 2
0 0 1
0 1 2
1 1 0
0 1 0
2 1 0
0 2 2
10 7
2 0 2
1 2 2
1 2 0
0 0 1
2 1 1
2 1 0
1 0 2
1 1 1
1 1 2
0 2 0
10 2
2 1 0
1 1 1
0 2 2
1 0 2
2 2 1
1 2 1
1 2 0
2 0 0
1 1 2
2 0 1
10 8
0 1 2
2 0 0
1 0 2
0 2 0
2 1 1
1 1 1
2 0 1
2 1 0
2 2 1
1 0 1
10 8
2 0 2
1 0 0
2 2 1
1 1 1
2 2 0
1 0 2
2 2 2
2 1 2
0 1 1
0 0 2
10 6
2 0 0
1 2 2
1 0 0
2 1 2
2 1 0
2 1 1
2 0 1
0 0 0
0 1 2
2 2 0
10 5
0 3 1
0 3 3
2 3 0
3 1 0
0 0 0
1 2 1
2 2 2
0 0 2
1 2 3
2 2 0
10 5
1 3 3
1 1 0
0 2 3
0 2 1
3 3 3
2 2 1
0 0 0
2 0 0
2 0 1
3 2 0
10 7
1 3 2
2 1 0
3 2 2
3 3 1
1 1 2
2 1 2
3 0 3
3 1 1
0 0 0
1 1 0
10 6
2 0 1
2 2 0
2 1 0
2 2 1
0 0 0
0 0 1
1 0 0
1 1 2
2 1 1
1 1 0
10 8
3 2 2
0 2 2
2 2 1
2 1 2
3 1 2
0 3 1
2 0 1
0 3 0
2 1 3
1 3 2
10 2
0 2 2
2 1 0
2 1 2
1 2 0
1 1 1
2 2 0
2 1 1
0 2 1
0 1 0
1 2 1
10 3
1 0 1
1 2 0
2 2 1
2 0 1
0 0 2
1 0 0
0 2 1
2 0 2
0 0 1
0 1 1
10 6
2 1 0
1 2 0
1 0 2
2 2 2
2 2 1
2 1 2
0 2 1
2 0 0
2 0 1
0 0 2
10 5
0 1 0
1 0 2
0 2 1
1 0 1
2 2 1
1 1 1
2 0 2
2 2 0
2 1 1
1 0 0
10 8
2 2 1
1 0 0
1 0 2
1 2 1
1 1 2
0 1 1
0 0 2
0 1 0
0 2 1
0 2 0
10 3
3 0 0
0 1 1
1 3 0
0 3 2
0 2 3
1 0 0
1 3 1
3 1 2
0 3 1
0 2 2
10 7
2 0 1
0 1 2
2 0 2
1 2 0
2 0 0
0 1 0
1 2 2
2 1 2
1 0 2
0 2 0
10 9
1 0 1
0 0 1
3 3 1
3 0 2
2 0 2
2 0 0
1 1 0
2 0 1
0 0 2
1 2 1
10 8
3 0 0
1 2 0
1 3 0
2 3 3
0 3 0
3 2 0
0 0 1
2 2 2
2 0 1
2 0 3
10 7
2 0 3
2 3 0
0 0 0
2 2 2
3 2 2
0 1 1
2 1 3
1 2 0
1 2 1
1 2 2
10 7
1 3 0
3 2 2
3 1 2
1 1 0
2 1 3
0 2 0
1 1 3
3 0 2
3 3 2
3 3 0
10 9
0 2 3
1 2 3
3 3 0
1 3 1
3 0 2
3 2 1
3 3 3
1 1 1
2 2 3
0 1 1
10 4
1 0 2
0 0 1
2 2 0
0 0 0
2 1 2
1 2 1
1 1 1
1 1 0
2 0 1
2 1 0
10 6
1 0 1
2 2 0
2 2 2
0 2 1
1 1 0
1 2 0
1 0 0
2 0 1
2 1 1
0 1 2
10 9
1 2 1
1 2 0
1 0 0
2 1 0
0 0 1
0 0 0
2 0 1
0 1 1
1 1 2
1 1 1
10 3
2 0 1
1 1 2
1 0 2
0 1 0
2 2 0
0 0 1
2 2 2
1 2 1
0 1 2
2 2 1
10 2
2 3 0
0 2 3
3 2 0
0 1 2
2 0 1
1 0 1
2 2 3
3 0 1
0 0 1
0 1 1
10 2
1 2 2
0 3 1
2 3 2
0 0 0
2 3 0
2 2 0
3 1 1
2 2 1
2 1 1
2 3 3
10 2
1 2 2
2 2 2
1 0 2
0 1 0
2 1 0
0 0 0
2 0 2
1 1 0
2 1 2
2 2 1
10 4
3 3 3
3 1 1
3 2 0
2 2 0
2 1 1
3 0 0
2 2 3
3 3 0
3 2 1
0 1 2
10 4
0 1 0
0 2 0
2 1 0
2 0 1
1 1 1
2 2 0
2 0 2
2 0 0
0 1 2
1 2 2
10 2
2 1 2
1 1 1
2 0 2
1 1 2
1 2 1
2 1 0
2 2 0
0 2 1
1 0 0
2 0 0
10 5
3 1 3
3 3 0
1 2 1
1 2 0
2 2 0
0 0 3
1 2 2
3 1 2
0 2 0
1 1 3
10 6
1 0 0
1 2 2
1 0 2
2 1 2
1 1 1
2 2 1
0 2 0
1 1 2
2 0 0
0 2 1
10 6
3 2 2
3 2 1
3 1 3
3 3 1
2 3 1
0 0 2
0 3 1
0 2 0
3 0 0
3 1 1
10 9
0 0 2
3 0 0
3 0 1
1 2 2
3 3 2
2 2 1
0 3 2
2 0 3
1 2 3
2 1 3
10 3
1 1 3
0 0 3
3 0 0
0 0 1
3 1 2
0 3 2
3 2 2
1 0 0
3 3 0
2 1 1
10 5
1 2 1
2 2 2
0 0 1
2 1 0
3 3 0
2 1 2
0 0 2
3 0 1
1 2 0
2 1 3
10 8
0 1 2
0 2 2
1 1 3
2 3 1
2 1 1
2 1 3
3 2 0
0 1 0
3 0 1
0 1 3
10 8
0 2 0
2 1 0
1 0 1
1 0 2
1 1 0
2 0 2
0 2 2
2 0 1
2 2 2
0 2 1
10 3
3 2 3
0 1 0
3 0 0
2 0 1
2 0 2
1 3 0
3 3 0
2 3 3
0 1 3
3 0 3
10 5
0 2 1
0 0 2
0 0 1
2 1 2
2 2 1
0 2 0
1 0 1
0 1 1
1 2 2
2 1 1
10 7
2 1 0
0 0 3
0 3 3
0 2 0
1 0 1
1 0 3
0 3 2
1 1 3
2 2 2
1 1 2
10 2
1 0 2
1 2 2
1 1 1
2 0 0
2 2 2
2 2 0
0 2 2
0 0 0
0 0 1
2 1 0
10 4
1 1 2
1 2 1
2 1 1
2 2 2
1 0 2
1 0 0
2 0 2
0 2 0
0 0 0
2 0 1
10 7
2 1 2
2 1 0
2 0 0
2 2 0
1 2 2
0 1 2
1 0 0
0 2 0
0 1 0
1 2 1
10 5
2 2 2
2 2 0
1 1 0
0 1 0
2 0 2
1 0 0
0 2 1
0 1 1
0 0 2
2 0 0
10 5
3 2 0
3 3 1
0 1 2
2 2 1
3 0 2
2 3 2
1 3 1
3 0 1
3 2 3
0 0 3
10 6
3 2 1
3 3 1
0 3 0
0 0 0
2 2 2
1 3 2
0 1 2
2 1 3
3 0 3
1 0 3
10 9
0 1 0
2 1 2
3 1 2
0 2 1
0 3 0
1 0 3
1 1 0
2 0 3
2 3 0
1 0 0
10 8
2 0 0
2 0 1
0 2 0
0 2 1
0 2 2
2 1 1
1 0 0
1 1 0
2 1 2
2 2 0
10 7
2 2 1
0 2 2
1 2 2
2 1 2
1 1 0
0 2 0
2 2 0
0 1 1
1 0 1
0 0 2
10 7
0 1 2
1 2 0
0 2 1
0 0 1
0 1 1
0 0 2
0 2 2
1 2 2
1 0 1
0 0 0
10 6
1 0 1
0 2 2
2 2 1
2 1 1
0 1 2
0 0 2
2 2 2
1 2 2
2 0 0
1 0 2
10 2
2 3 3
2 2 1
1 0 0
2 2 0
0 1 2
2 1 1
3 0 1
1 1 0
3 2 3
1 2 2
10 5
2 1 1
1 1 0
2 0 1
2 0 0
0 0 2
1 2 0
1 1 2
0 1 2
0 2 1
0 2 2
10 7
3 1 2
0 1 1
2 2 1
1 2 1
0 0 1
0 2 1
1 0 0
2 0 1
3 3 0
0 2 0
10 4
1 2 2
0 1 0
2 2 0
2 1 1
2 0 1
2 1 2
1 1 0
1 0 2
2 0 2
1 1 2
10 5
3 3 3
2 3 3
1 3 3
2 1 2
2 3 1
3 3 2
2 1 1
3 0 2
1 0 3
0 3 3
10 5
0 3 2
0 2 2
3 1 1
0 1 2
2 2 3
3 3 2
1 0 2
3 3 3
3 2 1
0 1 3
10 5
2 0 2
1 1 1
1 1 0
0 2 1
2 2 0
2 0 0
0 1 2
2 1 1
1 2 1
0 0 1
10 8
0 2 1
1 2 1
0 1 1
1 3 1
0 2 2
2 3 3
1 1 0
2 0 3
2 2 3
0 0 0
10 8
2 1 0
2 0 2
0 0 1
2 1 1
1 1 1
1 2 2
3 2 2
0 0 3
2 2 3
3 2 0
10 8
1 1 3
1 3 3
1 1 2
0 3 0
2 2 2
3 0 0
0 0 1
3 3 1
0 3 2
1 0 2
10 9
2 2 1
0 0 0
1 0 2
0 3 0
3 0 0
0 3 3
3 1 1
1 3 3
1 0 3
3 0 2
10 4
2 1 2
1 3 2
3 0 2
3 3 0
0 0 0
1 0 2
3 2 2
2 0 3
0 0 2
3 1 3
10 6
0 1 0
2 1 1
1 2 1
1 0 1
2 0 2
2 1 0
0 0 0
2 2 1
2 0 1
1 2 0
10 2
2 0 0
3 3 0
2 2 3
1 3 0
3 3 3
3 2 2
1 2 3
3 0 3
0 1 2
0 1 0
10 7
2 0 1
0 0 0
2 1 1
2 0 2
0 0 2
1 0 1
0 0 1
0 2 0
2 2 2
0 2 2
10 7
3 1 0
2 2 2
1 2 1
2 2 3
1 3 1
3 3 2
0 2 2
1 1 1
0 2 0
1 3 3
10 2
3 3 0
1 3 2
2 0 2
0 1 1
2 3 3
2 3 1
3 0 0
3 2 2
0 3 0
0 2 0
10 8
1 0 1
2 2 1
2 0 2
0 2 0
2 0 0
0 1 2
0 2 1
0 0 1
0 2 2
1 2 0
10 8
1 2 0
1 2 2
1 1 2
2 0 2
1 0 0
0 2 0
2 1 2
0 2 1
0 0 0
0 1 0
10 4
2 2 2
0 0 2
1 1 2
2 0 0
0 1 2
2 2 1
1 2 2
0 2 2
0 2 1
1 0 1
10 3
1 1 0
2 2 0
1 2 1
2 0 2
2 1 0
0 2 0
0 1 2
2 0 1
1 0 2
0 0 2
10 8
3 0 1
2 3 1
1 2 2
2 2 0
2 1 3
3 2 2
1 2 0
2 0 0
3 3 2
3 3 3
10 7
1 2 2
1 2 3
3 3 2
3 1 3
1 0 2
2 2 0
2 1 1
2 0 0
2 0 2
3 3 0
10 9
2 2 3
3 3 3
3 1 1
3 3 1
1 2 3
0 2 0
2 1 1
3 2 1
1 3 1
2 1 2
10 2
0 2 1
1 1 2
2 1 3
1 3 2
1 0 2
1 1 0
3 2 1
1 1 3
0 3 3
3 0 2
10 3
2 1 2
3 1 1
3 0 2
2 3 3
0 0 3
0 1 1
0 2 2
3 1 3
2 0 1
0 1 0
10 2
1 2 2
2 0 1
0 2 2
2 2 2
0 0 2
2 1 0
1 2 1
0 0 1
0 2 0
2 2 1
10 6
2 1 0
0 2 2
2 0 1
1 0 1
2 0 0
0 1 0
0 2 0
2 1 1
0 0 1
2 2 1
10 5
2 2 2
2 0 2
2 2 0
0 1 2
1 1 0
1 2 0
0 0 1
1 1 2
2 1 1
2 1 2
10 3
0 2 3
1 2 3
1 2 1
2 1 1
3 2 0
0 0 3
3 0 2
1 0 1
3 3 1
3 3 0
10 6
1 0 0
1 2 2
0 2 0
2 2 2
2 2 1
0 2 1
0 1 2
0 1 0
2 0 1
2 1 0
10 5
0 0 0
0 1 0
1 2 1
2 1 0
1 3 0
1 2 0
3 2 2
0 2 0
0 1 3
2 1 2
10 7
0 1 2
2 2 2
0 0 0
1 1 1
2 2 1
0 2 1
2 0 2
2 0 1
2 1 0
0 1 1
10 9
2 0 1
0 0 2
2 2 2
0 0 0
1 2 2
2 0 2
1 2 0
0 0 1
1 2 1
1 1 0
10 3
0 2 0
3 3 2
1 0 0
1 0 1
2 2 2
0 0 0
1 3 3
2 1 2
3 0 3
1 1 1
10 7
0 2 2
0 2 1
1 0 0
0 0 0
0 2 0
2 0 2
2 1 1
2 0 0
0 1 0
1 1 2
10 6
0 1 3
0 0 1
2 2 2
0 2 0
3 1 0
2 0 0
1 1 2
2 3 0
3 1 3
2 2 0
10 5
2 1 0
3 2 3
2 1 1
0 2 1
0 3 3
0 3 0
2 0 2
1 0 1
1 1 0
3 3 3
10 7
1 3 3
3 2 2
1 3 0
3 1 1
1 2 1
0 3 2
1 1 3
3 1 3
1 1 1
1 3 2
10 7
2 2 0
0 1 1
0 1 2
2 1 0
2 0 1
1 2 2
1 1 0
1 0 1
1 1 1
0 1 0
10 6
2 0 1
0 2 0
2 0 0
0 0 0
0 2 2
2 2 2
2 1 2
1 2 2
2 1 0
1 1 2
10 7
2 2 1
0 2 0
2 2 0
0 1 0
2 1 0
1 2 2
1 0 0
2 2 2
1 1 2
0 2 2
10 5
2 2 0
2 1 0
1 2 2
1 0 0
0 2 1
1 2 0
1 1 1
0 2 2
0 1 0
2 0 0
10 2
2 2 1
1 0 2
0 2 1
1 0 0
1 0 1
1 1 0
1 2 2
0 1 1
2 0 2
0 0 1
10 6
2 2 2
1 1 1
0 1 0
2 1 1
0 1 2
1 0 1
0 2 2
2 1 2
0 0 1
0 0 0
10 5
2 3 0
2 2 1
3 2 2
0 1 3
0 1 2
0 3 3
3 1 0
0 1 1
1 0 3
0 2 3
10 3
1 0 2
0 0 3
1 3 1
2 3 2
1 3 0
3 1 3
2 0 0
2 0 2
2 2 2
3 2 3
10 6
3 3 1
1 0 3
1 2 1
3 0 1
0 3 3
3 2 2
1 1 0
1 1 2
0 2 3
2 2 2
10 2
1 0 1
1 1 1
1 2 2
0 0 2
2 0 2
1 0 2
0 0 1
1 2 0
2 1 0
0 1 2
10 5
3 2 1
0 3 0
2 3 1
0 1 3
0 2 2
2 1 1
3 0 0
0 0 2
1 3 2
3 1 3
10 7
2 2 0
0 0 2
2 2 2
2 2 1
0 1 0
0 1 1
0 2 1
1 0 2
2 1 0
2 0 0
10 6
1 1 2
1 0 1
2 2 2
0 0 1
2 0 1
0 2 2
0 0 2
2 2 0
0 1 1
1 2 0
10 3
2 3 0
1 3 0
2 2 0
1 3 3
3 2 3
0 0 0
1 3 1
3 1 1
2 2 1
0 2 3
10 6
3 0 2
2 0 1
0 3 0
1 0 2
2 1 2
0 3 1
2 1 0
1 1 2
1 0 1
2 3 1
10 2
1 2 2
1 1 1
1 2 0
1 2 1
1 0 0
0 2 1
2 0 0
0 0 2
2 2 1
1 1 0
10 4
1 3 0
0 0 3
1 2 3
2 0 2
2 0 3
3 3 3
0 1 1
3 2 1
3 1 3
1 1 2
10 9
1 0 2
0 2 2
1 1 2
1 1 0
0 2 0
2 2 2
1 0 0
2 1 1
1 2 0
2 0 1
10 5
1 0 3
2 0 2
0 2 3
0 3 3
0 0 3
0 3 0
3 2 3
1 0 1
1 1 1
2 0 0
10 5
1 0 1
2 1 2
0 0 0
0 2 2
2 0 1
0 2 1
1 2 0
2 1 0
0 2 0
0 1 0
10 9
2 2 1
0 2 2
0 1 1
2 1 1
1 1 2
1 0 1
0 0 2
2 0 0
0 2 1
2 0 1
10 9
2 2 3
3 3 3
2 0 3
3 0 2
1 0 0
1 1 3
3 3 2
2 0 1
2 3 1
1 0 1
10 9
2 1 1
2 1 2
0 1 0
2 0 1
0 0 2
1 0 2
1 0 1
1 2 0
2 2 1
0 2 0
10 4
2 2 1
0 1 0
0 1 2
2 0 0
0 2 1
0 2 0
0 0 1
2 1 1
0 1 1
1 2 1
10 4
1 2 2
1 2 0
1 2 1
2 2 0
2 1 0
0 1 1
2 0 2
2 0 1
0 1 2
1 0 1
10 9
1 0 3
2 3 2
0 0 2
2 2 2
2 0 3
1 0 0
0 0 1
0 3 2
3 2 0
0 0 0
10 9
0 1 0
3 2 0
1 2 3
2 2 3
2 2 0
1 1 3
2 1 3
0 3 1
1 1 1
3 0 2
10 6
0 1 3
0 2 3
1 3 1
1 1 0
1 2 0
2 0 0
0 0 0
0 2 0
1 2 3
1 1 2
10 9
1 1 1
2 0 1
2 1 0
1 0 2
2 1 2
1 0 0
0 0 1
0 1 2
1 2 2
0 1 0
10 4
0 0 0
2 1 2
1 2 0
1 0 2
1 0 1
1 1 2
2 1 0
2 0 1
2 1 1
2 2 1
10 3
1 0 1
1 1 0
0 2 0
0 2 1
1 2 0
2 1 0
2 1 1
0 2 2
1 0 2
0 1 0
10 4
0 1 2
1 2 2
2 1 0
1 0 0
2 0 1
2 0 0
0 2 0
2 1 2
1 1 2
1 0 2
10 6
0 1 1
0 2 0
2 1 1
0 2 1
2 2 1
2 1 2
2 0 0
0 1 2
0 2 2
0 0 0
10 8
0 2 3
0 1 3
1 2 0
2 0 3
1 1 3
0 2 0
1 0 2
1 3 1
0 3 2
2 3 0
10 6
0 2 1
0 1 1
0 0 2
0 0 1
2 0 2
2 1 2
2 2 2
1 1 2
1 2 0
0 1 0
10 6
2 0 0
2 1 0
1 3 0
1 0 2
2 0 2
3 3 0
0 3 2
2 3 3
2 2 3
3 2 1
10 2
0 3 3
3 1 2
3 0 0
1 0 0
1 0 3
0 0 1
1 3 2
0 2 1
1 1 3
3 1 0
10 5
0 2 0
0 1 2
3 1 3
0 3 0
1 1 0
2 2 0
2 0 2
3 2 2
0 0 2
0 3 1
10 9
1 1 2
2 0 0
1 2 0
2 1 2
0 0 2
1 1 1
2 1 0
2 2 0
0 1 0
2 2 2
10 4
1 1 0
0 1 2
2 1 2
1 0 0
0 1 1
0 0 2
0 2 2
2 0 0
1 2 2
0 2 1
10 9
3 1 1
1 1 3
2 3 1
3 3 2
2 2 1
2 3 0
0 0 3
0 1 0
1 3 0
1 2 0
10 8
2 3 2
3 1 3
0 0 2
1 3 2
2 3 1
2 3 3
3 2 3
1 1 1
3 2 2
2 1 2
10 4
1 0 0
0 0 3
3 2 3
2 0 1
2 3 0
0 2 1
2 3 2
3 1 0
2 3 3
2 1 3
10 7
0 3 1
3 3 1
1 0 1
1 1 1
3 0 0
2 0 3
0 0 2
2 0 0
2 2 2
0 1 2
10 5
1 0 2
0 1 1
2 1 2
2 1 0
0 2 0
1 2 0
1 0 1
2 2 2
1 2 1
1 0 0
10 3
2 1 2
1 2 2
0 2 2
0 1 2
2 1 0
2 0 1
1 0 2
0 1 1
1 2 0
1 1 1
10 8
2 1 2
1 1 0
3 1 3
2 1 0
3 2 0
2 2 2
2 3 0
3 1 1
3 1 0
2 0 2
10 2
1 1 1
0 0 0
1 1 0
0 2 0
2 1 0
2 1 1
0 1 0
2 0 2
2 2 2
0 0 2
10 7
1 2 2
3 2 3
3 1 3
0 3 1
1 1 0
0 0 1
3 1 0
0 0 2
0 1 0
0 1 3
10 2
1 2 2
0 3 2
1 2 3
2 3 1
1 0 1
0 3 3
3 2 2
3 1 2
1 0 0
1 0 3
10 5
2 1 0
1 2 0
1 0 2
2 0 0
1 0 0
2 2 0
0 2 0
1 2 1
0 1 2
2 1 1
10 2
2 0 0
2 2 2
2 2 1
1 2 2
1 0 0
1 2 0
2 1 1
2 0 1
0 1 1
1 1 0
10 6
1 0 0
0 2 1
2 0 0
1 1 0
2 0 2
1 0 2
0 2 2
2 1 2
1 2 1
0 2 0
10 7
2 2 0
1 3 0
0 0 1
2 1 2
1 0 0
0 2 1
1 2 0
2 1 3
1 0 1
1 0 3
10 7
1 1 0
3 0 1
2 1 2
3 1 3
1 0 0
3 2 2
2 1 0
2 2 3
0 1 3
1 0 2
10 2
2 1 0
0 0 2
1 2 1
0 0 1
1 2 0
0 0 0
0 2 2
0 2 1
1 0 0
2 2 1
10 5
1 1 1
2 1 0
2 2 0
0 0 1
1 1 0
2 0 1
1 0 1
1 2 2
1 1 2
2 2 2
10 4
1 2 2
0 2 0
1 2 1
0 1 2
2 0 0
0 1 1
2 0 1
2 1 1
2 2 0
0 1 0
10 3
1 2 2
1 2 1
1 3 0
1 1 1
2 2 3
2 1 2
2 2 2
2 3 1
0 0 3
3 1 3
10 8
1 2 1
1 1 2
2 1 0
2 0 0
1 1 0
2 0 2
2 2 2
1 0 0
1 1 1
0 2 1
10 3
0 0 0
2 2 0
1 0 0
0 1 2
2 1 0
1 2 1
1 2 2
2 0 1
1 0 2
2 2 1
10 4
3 0 2
2 2 1
3 0 1
0 2 3
0 3 1
1 3 3
2 3 3
1 1 1
3 1 2
3 3 0
10 7
0 3 3
2 3 3
3 3 2
2 0 3
3 3 0
0 3 2
0 2 1
1 3 1
3 2 2
3 3 3
10 7
2 3 1
0 0 0
2 1 3
0 3 3
3 3 1
1 1 3
0 1 1
0 2 1
3 1 2
2 0 1
10 7
0 0 1
1 1 2
1 1 1
2 2 2
1 2 0
1 0 0
2 1 2
0 1 2
2 0 0
0 2 1
10 4
1 0 1
1 1 1
0 0 0
2 1 0
0 2 0
1 0 0
0 2 2
2 0 0
2 1 2
0 0 2
10 8
2 1 2
2 2 1
1 2 1
1 2 0
1 0 1
0 0 2
1 2 2
0 0 0
0 2 0
0 1 0
10 5
0 0 3
3 0 3
3 1 0
1 1 3
3 2 2
3 3 0
2 2 1
0 0 1
3 1 1
2 2 2
10 6
2 2 1
1 2 1
1 1 0
1 0 1
2 1 1
2 2 2
2 0 1
1 1 2
0 0 0
2 1 2
10 8
1 2 1
0 1 2
3 2 2
2 0 1
1 1 2
3 2 3
0 3 3
0 0 3
0 0 1
2 2 0
10 6
2 1 2
1 2 0
0 0 1
1 2 2
2 2 1
1 1 2
1 0 0
0 0 0
1 1 0
0 2 0
10 5
2 0 0
0 1 1
0 1 0
0 2 0
1 1 0
1 1 1
2 0 1
1 0 1
1 2 1
0 1 2
10 6
2 2 2
2 2 1
0 1 1
1 1 1
1 2 2
2 1 2
1 1 0
2 0 0
0 1 2
1 2 0
10 6
2 3 0
0 0 2
2 0 3
1 1 0
1 0 3
0 0 1
1 2 3
2 1 1
3 0 1
1 1 2
10 9
0 0 1
1 0 2
2 0 0
0 1 1
1 1 1
0 0 0
2 2 1
1 2 2
1 2 1
0 2 1
10 7
1 0 3
2 0 2
0 3 0
0 3 1
2 2 2
3 1 0
3 3 3
0 0 3
2 0 3
0 2 0
10 3
0 2 1
1 3 3
2 0 1
2 3 0
3 3 1
0 2 2
1 2 3
0 0 3
2 0 0
0 3 2
10 2
0 3 0
0 3 1
0 1 0
1 0 1
0 1 3
1 0 2
0 0 3
0 3 3
3 3 1
1 1 1
10 5
0 2 2
1 2 0
0 2 1
2 2 0
2 2 1
2 0 2
0 1 0
2 1 1
0 1 1
1 2 1
10 7
0 0 0
2 1 0
0 2 1
2 2 2
1 2 1
1 0 2
0 0 2
1 2 0
0 1 1
2 0 2
10 2
0 0 2
1 1 0
0 2 0
2 0 2
2 2 1
2 1 2
1 0 2
1 2 1
1 2 2
0 0 0
10 6
3 1 2
2 3 3
1 0 2
1 1 3
3 0 2
3 1 3
1 1 0
3 3 1
2 1 1
1 3 2
10 4
3 0 1
2 3 1
1 1 0
2 0 3
2 0 1
1 2 1
2 0 0
3 2 2
1 1 2
3 3 0
10 2
2 3 2
3 2 1
3 1 3
1 1 2
1 1 3
0 0 2
2 0 0
3 1 1
1 2 0
0 0 1
10 4
2 1 2
2 2 1
1 2 2
2 2 2
0 1 1
2 0 2
1 0 0
1 0 2
0 0 1
0 1 2
10 7
1 3 0
1 2 2
2 0 0
3 2 1
3 0 1
0 2 0
0 3 2
3 2 3
2 3 1
2 0 2
10 3
3 2 2
1 0 0
2 1 1
1 1 2
2 2 2
0 0 0
1 0 3
1 2 0
1 1 1
1 2 1
10 4
0 1 1
0 1 2
3 2 2
0 0 1
0 3 1
1 0 2
2 0 0
2 0 3
0 1 0
1 0 1
10 3
3 1 1
0 0 2
1 1 2
2 2 2
1 1 0
1 2 2
1 0 1
2 1 1
3 1 2
3 2 2
10 5
1 2 1
0 2 0
0 1 0
0 1 1
0 1 2
2 1 2
0 0 2
2 1 0
0 2 2
0 2 1
10 8
3 0 0
1 0 1
1 1 3
3 2 2
3 0 2
0 1 2
1 0 0
0 2 0
1 2 1
3 3 2
10 8
0 2 0
1 0 3
1 3 3
2 1 1
1 3 0
1 2 1
0 0 1
3 2 1
1 0 2
0 3 2
10 2
0 3 2
2 3 3
0 3 3
2 3 1
3 2 0
2 1 1
0 1 2
2 0 2
2 0 3
1 2 2
10 2
2 0 2
2 1 2
0 2 0
1 1 1
2 1 0
0 2 2
0 0 0
1 0 1
1 1 2
0 1 2
10 2
2 1 1
2 0 0
1 0 2
1 0 1
1 1 2
0 0 0
2 2 2
1 1 0
2 0 2
0 1 1
10 8
2 2 0
1 2 0
0 0 0
2 0 0
0 0 1
1 2 2
1 1 0
0 1 1
1 0 1
2 1 2
10 5
3 0 2
1 3 1
2 0 0
3 0 1
2 3 3
3 0 3
2 2 1
3 1 1
2 1 2
3 3 3
10 6
0 2 2
2 2 1
0 0 0
2 1 0
2 1 1
2 0 1
0 1 1
0 2 0
1 1 0
0 1 0
10 3
3 1 1
0 2 1
3 2 2
2 2 0
3 3 0
2 3 0
3 3 1
2 3 1
0 3 2
0 2 2
10 8
0 0 0
2 1 3
1 1 2
1 1 3
0 0 3
0 3 3
3 1 3
3 2 0
1 3 3
1 1 0
10 4
0 2 1
1 2 0
2 1 1
2 1 0
1 2 2
1 1 2
1 1 0
1 2 1
0 0 0
1 1 1
10 8
0 2 2
1 1 0
1 2 1
1 0 0
2 1 2
0 1 1
0 1 0
1 2 2
0 0 2
0 1 2
10 2
0 2 1
1 2 0
2 1 0
1 1 0
2 2 2
2 0 1
1 1 2
1 2 2
2 2 1
1 0 1
10 3
1 0 0
1 2 2
2 0 3
1 1 0
0 3 1
3 3 1
2 2 2
0 0 1
0 1 2
3 2 1
10 7
3 0 2
1 3 0
1 3 2
3 1 1
2 3 2
3 1 0
2 1 3
1 2 3
2 0 0
0 2 1
10 7
0 2 2
1 1 0
0 0 0
0 2 1
1 1 1
2 1 2
0 1 1
1 1 2
1 0 2
0 0 2
10 2
2 0 0
2 0 1
1 1 0
1 0 3
1 3 0
2 2 0
3 1 0
1 0 2
3 2 0
1 0 1
10 3
2 1 0
0 2 1
1 0 0
0 1 1
0 0 0
1 2 2
1 1 0
2 2 1
2 2 2
2 1 1
10 7
0 0 0
0 0 1
0 0 2
2 2 0
2 2 2
1 2 0
2 1 1
0 1 2
2 0 0
1 2 2
10 9
0 2 0
2 0 0
1 2 1
1 0 2
2 1 2
0 1 1
0 2 2
0 2 1
1 0 1
1 1 0
10 3
2 2 3
2 1 1
2 1 0
3 1 3
1 3 1
3 2 0
1 1 0
0 1 2
1 1 3
3 1 1
10 7
1 0 1
0 1 0
2 1 0
2 0 2
2 1 1
0 0 0
2 0 0
2 1 2
2 2 2
0 1 2
10 5
2 2 1
0 0 1
0 1 0
1 0 2
0 1 1
0 2 0
2 2 2
1 0 0
2 1 2
0 0 0
10 6
2 1 0
2 2 0
2 0 0
0 0 2
1 2 1
1 0 2
1 0 0
0 0 0
2 2 1
0 2 2
10 5
1 1 1
1 1 2
0 2 1
3 3 2
1 3 1
2 2 1
3 0 2
2 1 3
0 3 0
1 3 3
10 7
3 0 0
0 2 3
0 2 2
1 0 1
3 2 2
3 1 3
1 1 0
2 0 2
2 2 3
1 2 3
10 6
1 1 1
0 2 2
2 2 1
2 1 1
0 0 2
2 0 2
0 0 0
2 1 0
1 2 1
2 2 0
10 7
0 1 0
1 1 2
0 0 0
2 0 2
1 0 1
0 2 1
1 0 0
0 0 2
0 2 0
1 0 2
10 4
2 1 2
1 2 1
1 1 1
1 1 0
2 0 0
0 2 1
2 1 0
1 1 2
0 1 0
1 0 2
10 5
0 3 2
1 1 3
3 0 1
3 3 3
2 2 2
2 1 1
3 0 3
1 3 2
2 3 2
3 3 0
10 6
1 1 1
1 2 1
2 2 3
1 3 0
0 0 0
3 3 3
0 2 2
2 1 3
1 0 1
1 2 0
10 3
1 3 3
0 3 3
1 1 2
0 1 3
0 0 3
0 2 3
2 3 1
3 2 2
1 2 3
3 1 1
10 6
2 2 1
0 0 2
1 2 1
2 1 0
2 2 2
2 1 2
0 1 2
0 2 0
1 0 1
0 1 0
10 5
1 2 1
3 3 2
2 0 1
3 2 2
2 3 2
3 0 0
1 2 3
0 2 0
2 3 1
1 1 0
10 5
1 1 3
0 0 0
0 2 1
3 3 2
1 2 2
3 0 0
2 3 3
3 2 0
0 3 3
1 3 3
10 3
1 0 0
0 1 0
1 1 1
1 2 2
2 0 1
0 0 0
1 0 1
0 1 1
0 2 0
2 0 0
10 7
0 3 3
3 2 1
3 3 0
1 3 3
2 1 0
2 0 0
2 3 0
0 0 2
3 1 2
2 1 3
10 7
1 2 2
0 0 1
2 2 0
2 1 0
0 1 0
0 1 2
1 2 0
1 1 0
2 0 0
2 1 2
10 9
1 3 2
1 1 1
0 1 2
0 1 3
1 3 3
0 0 2
1 3 1
0 0 0
2 0 0
2 3 2
10 8
1 0 0
0 3 0
0 0 3
1 2 2
3 3 0
0 1 2
1 2 1
1 3 0
2 0 1
3 3 2
10 7
1 2 1
1 3 3
3 0 1
2 2 0
0 2 1
3 2 1
0 2 3
2 0 0
2 1 2
2 1 0
10 7
3 3 3
0 0 0
0 1 1
0 3 2
1 0 2
3 1 0
1 1 1
0 1 2
0 3 3
3 3 1
10 7
3 2 1
2 2 1
0 3 3
1 1 1
2 0 2
0 1 1
2 0 1
0 2 1
2 0 0
3 3 1
10 3
2 1 1
1 1 0
1 1 2
2 2 1
0 2 0
1 0 0
2 0 0
2 0 2
0 0 1
0 2 1
10 5
3 2 0
1 2 3
0 0 0
1 1 3
2 3 2
0 1 0
2 2 3
0 0 3
0 3 3
3 1 2
10 5
0 2 2
2 3 1
3 3 1
0 2 1
2 0 3
3 2 1
2 2 2
1 0 2
0 3 1
0 1 0
10 9
2 2 2
0 3 1
2 3 2
1 1 3
3 0 2
3 3 2
3 3 1
2 1 3
0 0 3
2 0 3
10 2
0 0 2
2 2 1
2 2 0
1 2 2
1 0 0
0 1 2
1 2 1
0 0 1
1 1 2
0 0 0
10 7
1 0 2
0 0 0
2 2 1
2 0 0
0 2 0
1 2 2
1 1 0
0 0 2
1 0 1
0 0 1
10 4
3 3 1
2 0 0
0 0 2
2 2 3
2 0 2
3 2 3
0 2 3
1 0 1
0 3 0
0 3 3
10 5
1 0 2
0 0 0
2 1 1
1 0 1
1 2 2
1 2 0
1 2 1
2 2 2
1 1 0
0 0 2
10 4
3 1 1
1 0 3
2 2 3
0 3 3
2 3 3
3 1 2
0 1 2
2 1 2
1 2 0
3 2 3
10 5
1 2 1
2 1 2
1 2 2
1 0 0
0 1 0
1 1 2
2 2 0
0 2 1
2 2 2
0 2 2
10 6
2 0 1
3 0 0
1 3 3
0 1 3
2 0 0
0 3 3
0 2 1
0 3 1
1 0 2
3 1 3
10 8
1 1 1
1 0 1
2 1 1
2 2 2
0 2 0
0 0 0
2 0 2
0 2 2
0 2 1
0 1 0
10 5
1 3 1
2 2 1
2 0 2
1 0 2
1 1 1
2 2 0
3 1 3
2 1 0
2 0 3
3 3 1
10 9
1 3 1
1 0 3
0 1 2
2 2 0
0 0 1
2 0 3
2 1 2
2 3 2
3 3 1
2 3 1
10 4
2 2 0
1 0 1
1 2 1
2 1 1
2 2 1
0 0 1
0 2 0
0 1 0
2 0 0
0 2 2
10 9
0 1 2
0 1 3
2 3 0
2 2 1
2 0 2
2 1 1
2 1 3
0 3 0
1 3 0
3 0 3
10 8
3 2 1
3 1 0
2 2 3
1 0 2
1 1 2
1 3 2
0 1 3
2 2 0
3 1 3
2 1 2
10 5
2 2 2
0 0 0
0 1 1
1 0 2
2 0 1
0 1 2
2 1 1
1 0 0
2 0 2
0 2 1
10 3
1 1 1
2 2 2
0 2 1
0 1 0
2 2 1
2 0 1
1 2 1
2 0 0
1 0 2
2 0 2
10 3
3 1 2
0 0 0
2 2 1
1 3 3
2 0 0
2 3 1
0 0 3
3 3 0
0 2 3
0 3 3
10 6
2 2 1
2 2 3
0 0 2
1 2 2
0 3 1
2 1 3
3 1 0
0 3 3
1 3 3
0 1 0
10 7
3 2 0
0 0 3
2 3 3
1 3 2
0 2 1
2 1 1
2 1 3
1 2 1
3 3 0
3 3 2
10 6
3 1 1
3 0 3
0 2 3
1 1 3
3 2 2
0 2 2
1 0 1
3 3 3
0 0 3
2 0 2
10 8
1 0 3
3 1 0
0 3 3
0 0 0
0 2 0
3 3 1
1 2 1
1 2 3
2 1 3
0 0 2
10 5
2 1 3
0 2 3
1 0 2
0 0 2
1 1 1
0 3 2
1 2 2
1 0 1
3 1 0
0 2 1
10 7
0 3 3
3 2 3
2 0 3
3 0 0
3 3 2
1 2 1
2 2 3
0 0 1
1 1 2
0 3 0
10 7
0 0 1
1 3 1
0 2 0
0 1 3
3 3 2
0 1 1
0 3 2
2 3 1
1 0 3
0 2 3
10 2
2 1 2
2 0 2
1 1 2
0 2 0
0 2 1
2 1 0
1 0 2
2 0 1
0 0 2
0 1 1
10 7
0 0 3
1 1 3
3 1 3
0 3 0
0 2 0
0 2 1
0 2 3
1 0 1
1 0 2
2 1 3
10 8
1 1 1
1 3 1
0 2 1
1 2 3
0 3 1
3 1 0
3 3 2
0 2 3
0 1 0
0 2 2
10 2
3 3 2
1 0 2
0 2 3
2 1 2
2 3 3
1 3 1
0 3 2
2 2 3
0 1 3
2 1 0
10 6
0 0 1
0 2 1
2 0 1
0 0 0
0 1 2
2 2 1
2 0 0
0 2 0
2 1 1
2 1 0
10 9
0 2 3
2 3 2
3 1 3
3 2 2
1 2 0
2 1 2
2 0 2
3 1 2
2 0 0
2 0 3
10 7
0 1 2
0 0 2
0 2 2
1 1 0
0 0 0
2 2 1
2 2 2
0 2 1
1 0 1
0 1 1
10 8
3 0 0
1 1 2
0 1 2
2 2 2
1 1 1
3 1 1
2 2 1
2 0 1
0 1 3
0 1 0
10 7
2 0 2
3 2 1
3 2 3
2 0 3
1 0 3
3 3 0
3 0 0
1 1 1
2 1 3
3 1 3
10 2
2 0 2
1 1 1
2 0 0
0 0 1
0 2 2
1 2 2
0 2 0
0 1 0
0 1 2
0 2 1
10 3
3 2 2
2 1 1
3 2 3
3 1 2
0 0 0
1 3 1
1 2 3
2 1 0
0 1 2
3 2 1
10 8
0 3 2
0 2 2
3 3 3
3 3 2
2 1 2
0 1 1
3 2 1
0 1 3
0 2 0
2 1 0
10 5
3 3 1
0 0 1
3 0 1
2 1 1
3 3 0
1 3 3
2 1 0
0 3 2
1 3 1
0 2 2
10 3
0 2 1
0 0 3
0 2 2
2 3 2
0 3 3
3 3 2
2 1 3
3 2 3
3 2 0
2 3 1
10 3
0 0 2
2 1 2
0 2 2
1 2 1
1 0 2
2 0 0
2 2 1
0 2 0
2 1 0
0 0 0
10 9
0 2 0
1 2 0
0 0 0
1 1 3
2 2 2
0 2 1
1 1 0
0 3 0
0 0 3
3 2 3
10 3
1 0 2
2 2 0
2 0 2
0 3 0
2 0 0
2 3 1
2 3 2
1 2 0
0 2 2
2 1 1
10 4
0 1 0
2 0 1
1 1 2
2 0 2
0 2 1
1 1 0
0 2 2
1 1 1
1 2 0
0 1 1
10 6
0 0 2
2 1 0
1 2 0
2 1 1
1 1 1
2 2 0
2 2 1
0 2 2
2 0 0
0 1 1
10 4
3 2 2
3 0 3
2 0 0
1 2 3
0 1 2
2 0 2
0 3 2
0 0 0
1 1 1
1 3 2
10 5
1 3 3
3 3 3
2 2 3
0 0 0
0 1 3
3 0 3
0 1 1
0 0 2
3 2 3
0 2 1
10 2
1 1 1
0 1 1
1 0 1
0 2 0
1 0 0
2 2 0
2 1 1
1 1 0
0 2 1
2 1 2
10 3
1 2 2
1 2 0
2 1 2
2 2 0
0 0 1
2 1 1
2 0 1
2 2 1
2 1 0
2 2 2
10 3
1 0 1
3 3 0
3 2 0
2 1 3
3 0 2
1 1 1
3 0 0
2 0 1
2 3 0
3 3 1
10 4
0 2 1
2 0 0
1 1 0
0 0 2
2 1 0
0 1 0
1 2 1
1 0 1
1 2 2
2 1 2
10 5
0 0 2
3 1 1
2 0 1
0 3 1
0 3 0
0 2 3
0 1 1
0 3 3
0 1 0
2 0 0
10 5
1 0 1
2 0 2
1 1 1
0 0 2
0 0 0
0 1 1
0 2 1
1 0 0
1 2 0
0 1 2
10 5
1 2 1
0 3 3
0 2 0
0 0 1
2 0 1
1 0 0
2 1 0
0 2 2
1 2 3
3 1 0
10 2
3 2 1
1 2 1
0 3 2
3 1 0
1 1 2
2 1 3
0 1 3
1 3 0
3 1 2
2 0 0
10 3
3 0 0
3 2 0
2 2 1
0 3 2
0 1 3
0 0 1
0 0 2
1 1 1
2 2 3
1 1 0
10 2
2 1 2
2 2 0
1 2 2
0 3 2
3 3 1
0 3 1
0 0 3
0 3 0
3 0 3
3 3 3
10 7
1 2 1
3 2 0
3 3 1
0 3 0
0 0 2
3 1 1
0 2 2
2 2 3
2 2 2
0 0 1
10 5
1 2 2
0 0 1
1 2 1
1 2 0
2 2 2
0 2 0
1 0 1
2 0 0
2 0 2
2 2 1
10 4
3 1 2
3 3 2
1 2 1
0 3 3
2 1 2
0 0 2
2 2 0
3 0 3
2 0 3
1 0 1
10 7
1 2 0
0 0 1
1 2 2
2 0 1
2 1 1
0 1 0
0 1 2
1 1 2
0 2 2
2 1 2
10 7
2 2 0
2 2 1
2 1 0
0 1 2
1 1 1
2 1 2
0 0 1
0 2 2
1 0 2
2 0 2
10 2
0 1 0
0 0 2
2 1 0
2 2 1
2 1 1
3 3 0
1 0 0
3 2 0
3 1 1
1 1 0
10 4
2 0 1
1 0 2
1 1 2
0 2 0
1 1 0
1 1 1
2 0 0
2 2 0
2 0 2
2 1 0
10 7
0 2 0
2 0 0
2 1 2
1 1 1
0 0 0
1 1 0
2 2 1
2 2 2
2 1 0
0 0 2
10 6
2 1 0
2 2 0
0 0 2
1 0 2
0 2 2
2 2 2
1 1 1
2 0 2
0 1 0
1 1 2
10 2
0 3 0
1 3 2
1 3 1
2 1 1
2 0 3
2 2 0
1 0 1
2 2 2
2 3 2
3 1 1
10 3
1 2 1
2 2 2
0 0 1
1 1 2
0 1 2
2 2 1
0 1 0
2 0 2
1 2 0
0 2 1
10 8
3 3 1
3 0 3
1 0 0
0 0 1
2 0 1
1 3 0
1 3 1
0 3 2
1 1 0
2 1 1
10 2
0 2 1
1 0 2
1 1 1
1 2 2
1 0 1
0 0 0
0 2 2
2 0 0
0 1 2
1 2 0
10 5
3 2 3
0 1 0
1 1 2
0 2 2
1 2 2
0 0 1
2 2 3
0 1 1
0 2 3
2 0 1
10 7
2 2 1
0 0 2
1 2 0
0 1 0
1 1 0
2 0 2
2 1 1
1 1 2
1 0 0
2 0 1
10 3
3 3 2
1 2 2
0 1 3
0 1 0
0 0 0
0 0 2
3 1 2
1 0 2
2 3 0
1 0 1
10 4
2 2 2
1 0 1
3 2 3
1 3 2
1 1 3
1 0 2
1 3 0
0 0 1
2 0 0
2 1 3
10 3
1 1 2
2 1 1
1 2 2
1 1 1
1 0 1
2 1 0
0 0 2
0 1 1
1 0 0
2 0 0
10 6
0 2 1
1 2 0
0 1 2
1 0 2
1 0 1
0 0 0
2 0 2
0 2 0
2 2 2
2 2 1
10 2
0 1 2
2 0 2
1 0 1
0 0 0
0 2 0
0 0 2
2 2 2
1 2 0
2 1 0
0 0 1
10 6
1 0 0
1 2 2
1 0 2
1 2 0
1 1 2
2 2 1
0 1 2
2 0 2
2 1 1
2 1 0
10 5
1 2 3
3 0 3
0 3 0
1 0 1
2 3 1
0 2 2
2 1 3
3 1 2
0 0 1
0 3 2
10 5
3 0 1
2 3 1
1 1 2
0 3 1
1 3 3
2 1 0
2 1 3
2 0 0
1 1 3
1 2 1
10 6
0 3 1
0 0 3
0 2 2
0 3 3
0 1 0
2 2 2
2 0 2
2 0 0
1 0 2
3 2 3
10 6
1 0 0
2 2 0
0 0 2
0 1 2
1 2 0
0 1 1
2 2 1
1 0 1
2 1 1
2 1 0
10 5
2 2 3
0 3 1
1 0 1
0 3 2
3 1 0
3 1 3
1 1 0
2 3 0
0 2 3
0 1 1
10 2
2 1 3
1 2 3
2 0 0
2 2 3
1 1 2
0 1 0
2 3 3
3 1 3
1 2 0
0 1 1
10 8
0 1 2
2 0 0
1 2 2
0 1 0
2 1 0
2 0 1
1 0 2
2 1 1
2 0 2
1 1 0
10 9
1 0 1
1 0 2
1 2 1
0 1 0
0 2 2
2 1 2
2 1 1
1 2 2
1 0 0
0 1 1
10 9
1 1 0
1 1 1
1 1 2
2 0 0
2 2 1
1 2 2
2 1 1
2 0 1
0 2 1
2 1 2
10 9
3 3 2
3 2 3
2 0 2
3 3 3
2 3 3
2 1 3
3 0 3
1 0 3
0 0 0
3 1 2
10 4
1 2 0
0 1 3
0 2 2
3 3 0
0 1 0
1 1 0
2 2 3
2 1 0
3 1 0
3 3 3
10 7
1 0 2
2 1 2
0 0 2
0 0 0
0 1 0
1 1 0
1 0 0
2 1 1
0 2 1
1 0 1
10 5
0 1 0
1 2 3
3 2 0
3 2 1
1 0 3
0 2 3
3 3 2
2 1 3
1 1 3
0 1 3
10 3
3 1 0
1 1 0
2 1 1
3 2 2
1 1 3
2 3 0
3 2 3
3 2 0
2 0 2
2 3 1
10 4
2 2 0
1 1 3
1 2 3
2 1 3
3 1 1
0 3 0
1 0 3
1 0 1
1 2 1
2 3 0
10 9
3 1 0
2 1 2
0 1 0
0 0 0
2 3 3
2 2 0
0 0 2
3 3 1
3 1 3
1 1 1
10 8
3 1 0
2 0 1
2 1 3
2 3 0
2 1 1
0 1 2
0 3 0
1 2 0
3 2 2
3 0 3
10 6
0 2 1
2 2 2
0 2 0
1 0 1
1 0 0
2 0 1
2 2 0
1 2 1
1 2 0
2 1 1
10 7
0 1 0
1 1 0
2 0 2
0 2 1
2 2 0
0 0 1
1 0 1
1 2 1
1 1 2
2 2 2
10 5
0 0 1
2 2 0
1 2 0
2 0 2
0 1 0
0 0 2
1 1 1
1 0 2
2 0 1
1 2 1
10 9
3 3 1
0 3 2
2 1 0
0 2 0
1 3 3
3 2 0
1 0 0
0 1 2
3 3 3
1 3 0
10 8
0 0 1
1 3 3
3 3 0
0 2 1
1 3 0
0 3 2
2 1 2
3 2 0
1 3 1
2 2 3
10 6
2 1 0
2 2 2
0 2 2
1 1 1
2 2 0
1 2 2
1 2 0
0 2 1
0 0 1
2 1 1
10 7
2 3 3
3 3 2
0 0 1
3 2 0
3 3 3
2 3 2
2 0 0
2 1 1
3 1 0
0 1 1
10 9
2 2 1
2 0 0
2 1 0
1 0 1
0 2 0
2 2 2
1 1 1
1 0 0
0 0 0
0 1 2
10 3
1 2 1
0 1 1
0 2 2
1 0 0
2 0 0
1 0 1
1 2 2
2 1 1
1 1 0
0 1 0
10 7
1 2 0
1 0 3
1 2 2
0 0 3
0 1 2
2 2 2
1 3 0
3 2 1
0 1 3
3 3 1
10 9
1 1 1
2 3 1
1 3 1
0 1 3
1 2 3
3 1 2
2 3 3
2 0 2
0 1 0
0 2 1
10 5
2 3 0
3 1 0
3 2 1
1 3 3
2 0 3
3 0 2
1 0 2
1 2 3
2 0 1
0 2 0
10 3
1 2 2
0 1 0
1 2 0
0 0 2
1 0 1
1 1 1
2 0 1
1 1 2
1 0 0
2 2 1
10 4
1 1 1
1 2 1
0 0 2
2 1 2
2 0 0
2 2 2
1 2 0
2 2 0
0 2 2
0 0 1
10 3
0 1 0
2 1 0
2 0 1
1 1 0
0 0 0
2 1 2
0 2 1
1 2 1
2 1 1
0 0 1
10 8
2 0 2
1 0 1
2 1 0
0 0 0
1 2 2
0 2 2
2 2 1
2 0 1
0 2 1
2 1 1
10 8
3 2 0
1 0 1
0 2 0
3 1 0
1 1 2
3 3 3
2 0 0
3 2 3
2 3 2
0 3 0
10 6
2 1 1
2 2 1
1 0 0
2 0 1
1 0 2
1 0 1
1 2 0
1 2 2
2 0 2
2 1 0
10 6
3 0 2
3 2 0
1 1 0
0 3 2
1 0 1
1 2 3
3 1 3
2 0 3
1 3 3
1 1 1
10 9
1 2 2
0 1 3
1 3 0
2 2 0
3 2 2
2 2 1
2 1 1
2 2 2
1 1 0
2 0 1
10 9
1 2 2
0 0 0
2 2 0
0 0 1
2 0 2
1 2 0
0 2 0
0 2 1
2 2 2
1 0 2
10 7
2 2 0
1 3 2
2 2 3
2 1 3
2 3 0
1 0 1
3 0 0
2 0 1
1 0 3
0 0 2
10 7
1 0 0
0 2 1
0 1 0
1 1 2
2 0 2
0 1 1
2 2 2
2 1 2
2 1 0
1 2 0
10 9
1 0 3
3 2 3
3 1 1
0 3 3
2 3 2
1 1 3
3 1 2
0 1 1
0 1 0
3 3 0
10 4
0 2 0
1 1 0
2 2 2
0 2 2
2 2 1
1 0 2
2 1 1
1 1 2
2 2 0
1 0 0
10 8
1 2 0
2 2 0
3 0 1
1 2 2
2 1 1
1 3 2
3 1 2
2 2 1
0 2 1
3 1 1
10 2
1 0 2
0 2 1
0 1 1
2 2 0
2 2 2
2 1 0
1 0 0
0 1 0
1 1 0
0 1 2
10 9
1 0 1
3 0 3
2 2 3
0 1 0
3 3 0
2 1 0
2 2 1
1 2 0
1 3 2
0 3 0
10 5
1 0 2
1 0 1
1 1 3
0 2 2
2 0 3
1 2 1
0 2 1
1 3 0
0 3 0
0 0 0
10 8
2 1 1
0 0 2
0 0 0
1 2 1
0 1 1
2 0 0
1 1 2
0 1 0
1 0 0
1 0 1
10 2
3 2 1
3 3 1
3 3 0
0 3 0
2 2 1
1 1 2
1 3 3
2 1 3
0 3 3
0 1 1
10 5
2 0 1
2 2 2
0 2 1
0 0 1
2 2 0
2 1 0
1 1 2
2 0 0
0 2 0
0 0 0
10 4
1 2 0
0 2 3
2 3 2
2 3 1
3 3 2
1 2 2
1 1 2
1 1 3
0 0 3
2 0 0
10 5
2 0 1
0 3 0
1 0 3
3 1 3
3 1 1
1 0 1
3 0 2
0 3 2
2 3 3
1 1 2
10 2
2 1 1
1 1 2
1 2 0
2 0 2
0 2 0
2 0 0
0 0 1
2 2 2
2 1 0
1 0 2
10 4
3 2 3
3 0 2
3 3 2
1 2 1
0 2 1
2 3 2
3 3 1
0 1 3
3 3 0
1 3 0
10 7
1 0 2
3 3 1
2 2 3
0 0 3
2 3 0
1 0 1
2 1 3
1 3 0
1 3 3
2 3 2
10 8
3 3 3
3 2 3
3 3 2
2 3 0
0 1 0
2 2 3
0 0 2
3 0 0
2 1 1
1 0 2
10 4
0 2 3
3 0 1
0 2 0
0 2 2
3 3 2
3 0 0
1 2 3
0 1 0
3 2 1
2 1 1
10 5
3 0 1
2 3 2
1 3 0
3 1 1
1 0 3
2 2 1
1 3 2
0 1 0
0 0 1
3 2 0
10 2
0 0 0
2 1 0
2 0 0
1 2 0
0 1 1
2 1 2
1 2 1
0 2 1
2 0 2
2 1 1
10 8
1 3 3
3 2 2
0 0 1
0 2 3
1 1 0
1 1 3
1 2 0
2 0 2
0 2 1
0 0 0
10 2
1 2 3
1 1 2
3 1 0
1 3 2
3 3 1
0 1 3
2 0 1
2 3 2
3 1 2
2 0 3
10 5
0 2 2
3 1 2
0 2 3
0 0 0
3 2 1
1 1 2
3 0 0
2 0 0
0 3 2
2 0 1
10 7
3 3 2
0 0 3
3 1 0
3 2 3
1 3 3
0 0 2
1 2 0
3 1 3
2 3 0
3 0 0
10 7
2 1 3
0 1 0
1 3 2
2 2 3
0 0 1
3 2 2
3 0 0
2 0 2
0 1 1
2 0 3
10 5
0 3 1
2 1 2
3 0 2
0 3 0
2 3 2
0 1 3
3 3 2
0 2 0
1 2 0
0 2 1
10 2
0 0 0
2 0 1
1 2 0
1 0 3
0 2 1
3 0 2
2 1 3
1 1 2
0 1 2
3 1 1
10 2
3 0 2
2 0 2
0 1 0
1 2 1
0 0 2
2 1 3
0 0 1
2 2 2
1 2 2
3 0 3
10 6
0 2 2
1 0 2
2 1 1
0 1 2
2 0 1
0 0 0
0 1 1
1 2 0
2 2 2
2 2 1
10 8
0 0 2
1 0 2
0 2 1
1 1 1
2 1 0
1 0 0
1 0 1
0 1 2
0 1 1
1 1 2
10 2
1 1 1
2 2 0
2 1 1
1 0 0
0 2 1
2 2 1
0 2 0
2 2 2
1 2 2
0 0 2
10 4
0 1 2
2 1 0
2 0 2
0 0 1
2 2 0
1 2 2
2 1 2
2 1 1
0 0 0
0 2 1
10 9
1 2 1
1 1 0
0 3 3
0 1 1
2 0 1
2 3 2
2 1 0
0 2 1
3 0 1
1 0 2
10 8
3 2 3
0 2 0
1 3 2
0 3 3
1 0 3
3 1 1
0 2 1
3 3 3
1 1 3
3 3 2
10 5
3 0 0
0 0 0
1 0 1
1 1 2
1 1 1
2 3 3
0 0 3
2 2 1
2 0 1
2 2 2
10 6
2 1 1
0 2 1
2 2 2
2 2 0
2 0 0
1 0 0
1 2 1
1 1 1
0 0 0
0 1 0
10 2
0 0 0
2 0 1
0 2 1
1 2 2
1 0 2
1 0 1
2 1 1
0 1 1
0 2 0
2 1 2
10 3
1 2 0
2 2 2
2 0 0
1 1 1
0 0 0
1 2 1
0 1 0
0 2 2
0 0 1
2 0 1
10 5
1 0 1
1 2 1
1 1 1
0 2 0
1 1 0
2 0 1
0 1 1
0 0 1
0 0 0
2 1 1
10 6
0 0 1
0 1 0
1 0 0
0 1 1
2 2 2
1 1 0
2 0 1
2 1 2
0 0 2
1 2 0
10 7
2 3 0
0 0 2
3 1 2
3 1 1
1 1 0
2 1 2
2 3 1
1 0 0
0 2 0
3 3 2
10 7
2 0 2
2 0 0
0 0 1
1 0 2
1 1 0
2 1 2
1 1 2
1 0 1
1 2 2
2 2 2
10 4
1 0 0
2 3 1
0 3 1
1 0 1
2 0 1
1 0 3
3 1 3
2 3 3
2 1 0
0 2 3
10 9
3 0 0
1 1 0
3 0 1
0 3 0
0 1 3
2 1 2
2 2 1
3 2 2
3 2 0
2 3 0
10 3
0 2 1
1 0 0
1 1 0
2 1 0
1 0 1
0 1 1
2 1 1
1 1 2
1 0 2
2 2 1
10 3
1 2 1
2 0 0
1 1 1
2 2 2
0 0 0
2 0 2
2 2 1
0 0 2
1 0 2
1 1 0
10 5
2 2 1
2 1 1
1 0 1
1 1 1
0 1 1
2 2 2
1 2 2
2 1 2
0 2 1
2 2 0
10 4
2 1 3
1 2 0
3 3 2
1 2 2
1 2 3
0 0 1
2 3 2
3 3 0
2 3 3
2 0 1
10 9
2 1 1
0 2 2
0 0 0
2 0 0
1 2 1
0 0 2
0 2 0
2 0 2
1 2 0
2 1 0
10 2
1 0 0
2 0 0
2 2 1
0 0 1
1 1 0
0 2 1
0 2 2
1 1 2
0 2 0
1 1 1
10 4
1 1 1
2 1 1
0 1 1
2 0 0
0 2 1
1 0 0
1 1 2
1 2 1
0 1 0
2 2 1
10 4
3 1 0
2 1 2
3 2 3
3 0 0
3 1 3
0 3 2
0 1 1
0 3 0
2 0 2
0 0 1
10 4
3 0 3
2 3 3
2 0 3
2 3 2
0 3 2
1 2 3
1 1 3
0 1 0
0 0 0
2 3 1
10 6
0 0 1
0 1 0
2 2 2
0 1 2
2 0 2
0 0 2
2 0 0
1 0 0
0 0 0
1 2 1
10 5
2 2 1
1 1 1
0 2 1
2 1 1
0 1 0
2 0 1
1 2 0
0 0 0
2 2 2
1 0 1
10 6
1 3 2
0 0 3
2 2 0
2 1 3
1 0 2
3 3 3
1 1 3
1 3 1
3 3 1
1 1 1
10 7
2 1 2
1 2 2
1 0 2
1 0 0
0 0 2
1 2 0
0 2 2
0 1 2
0 0 1
2 0 2
10 2
0 0 2
2 1 1
2 0 2
3 2 0
2 3 1
0 3 0
1 0 1
1 2 0
1 0 3
3 3 0
10 4
0 2 3
1 0 2
3 3 3
3 1 1
1 1 0
1 0 0
1 3 3
0 2 0
0 3 0
1 3 0
10 3
0 1 3
0 3 2
3 3 1
1 3 2
0 3 1
0 0 3
1 0 0
0 3 3
0 2 3
0 2 2
10 2
0 0 0
1 2 0
2 2 1
2 2 2
0 2 1
2 1 0
1 1 2
0 0 2
1 0 2
1 0 0
10 5
1 0 0
1 2 2
2 0 0
2 1 0
2 1 1
2 0 2
0 0 2
0 0 0
0 1 2
1 1 1
10 4
0 0 1
1 2 2
1 1 3
3 3 2
1 0 2
3 3 1
2 2 1
2 1 3
1 3 0
2 3 2
10 9
1 1 3
3 3 3
3 1 2
0 1 3
2 3 3
3 3 2
0 3 1
3 1 0
0 3 2
1 2 0
10 2
0 2 0
1 1 0
2 2 2
1 2 0
2 1 1
1 1 2
1 0 0
2 1 2
2 1 0
0 1 1
10 5
1 1 0
1 0 2
0 2 0
2 0 2
0 1 0
2 2 2
2 1 0
1 2 2
0 2 2
0 1 1
10 8
0 1 0
2 1 2
2 1 0
1 1 1
0 0 0
1 0 1
0 1 1
2 1 1
1 2 1
0 0 1
10 6
0 0 1
1 1 1
2 2 1
1 2 1
1 2 2
2 0 0
2 0 2
1 0 1
2 0 1
0 0 2
10 2
0 1 1
0 2 2
2 0 1
2 1 0
2 2 2
1 1 2
1 0 0
1 0 2
2 2 1
0 1 0
10 6
3 1 0
3 3 1
0 1 3
0 1 1
0 0 3
2 2 3
2 2 0
2 1 3
1 1 0
3 2 2
10 6
1 0 0
2 1 0
0 1 0
1 0 2
1 0 1
2 0 0
2 2 1
2 0 1
0 2 1
1 1 0
10 3
1 1 0
2 2 1
1 2 2
1 0 1
0 0 0
1 1 1
0 1 1
0 1 0
0 0 1
0 2 1
10 4
2 2 1
1 1 2
1 3 3
0 1 0
0 1 3
1 2 3
2 0 0
3 0 2
3 2 2
0 0 1
10 7
0 0 1
1 1 0
2 0 0
1 0 0
0 0 0
1 1 1
2 1 1
2 0 2
0 2 1
1 0 2
10 3
2 2 2
1 1 0
1 2 2
2 1 1
1 1 1
1 1 2
2 2 1
1 2 0
2 1 0
0 2 1
10 7
2 2 2
0 0 2
0 2 0
2 0 1
1 1 1
2 2 0
1 0 0
0 1 1
2 0 2
2 0 0
10 6
0 3 2
3 3 2
2 3 2
0 3 1
2 0 3
2 3 3
0 3 0
3 2 2
1 2 3
3 2 0
10 3
0 2 1
0 1 1
0 2 0
2 1 2
2 2 1
1 0 0
2 0 2
2 2 2
2 1 1
0 1 2
10 3
1 2 2
2 0 1
0 2 0
2 2 0
2 2 1
2 1 2
1 2 1
1 2 0
2 2 2
2 0 0
10 4
2 1 0
2 2 0
0 0 1
1 2 0
2 1 1
0 2 1
0 1 0
2 0 1
2 0 2
1 1 0
10 5
3 2 3
2 1 3
0 3 1
1 0 2
0 1 0
3 0 0
0 1 3
3 3 0
1 2 0
0 1 2
10 8
0 2 0
3 3 0
1 3 1
3 2 1
0 1 2
1 2 0
1 3 0
2 0 3
0 2 1
2 0 2
10 8
1 2 0
2 1 2
0 2 0
2 0 1
1 1 1
0 2 2
1 1 0
2 0 0
2 2 0
1 2 2
10 5
1 0 2
2 0 1
1 1 2
0 1 2
1 2 2
0 0 2
2 2 0
2 2 1
1 1 0
0 1 0
10 7
2 2 2
1 1 2
1 2 0
0 1 2
2 2 0
2 1 0
2 1 2
1 1 0
1 0 1
2 0 2
10 5
3 0 2
0 1 1
2 3 2
0 0 1
1 2 0
2 0 2
1 1 1
0 3 3
0 3 1
1 3 0
10 7
2 2 1
3 3 2
0 1 2
0 1 1
1 3 3
3 3 0
2 1 0
1 1 1
0 0 2
2 1 1
10 5
2 1 1
2 0 2
1 2 0
0 2 1
2 1 0
1 2 2
0 1 0
1 0 1
0 0 1
2 0 0
10 9
0 1 1
2 0 1
3 3 3
2 1 1
2 2 1
0 2 2
1 2 1
1 0 1
1 3 3
3 1 2
10 4
2 0 1
2 2 0
0 2 0
1 1 2
0 2 2
2 1 0
2 2 2
2 0 2
1 2 0
1 0 1
10 4
2 1 1
1 0 0
0 2 2
2 0 2
2 2 0
1 2 0
1 0 1
0 0 2
2 2 1
2 1 2
10 7
2 1 2
0 1 2
0 1 0
2 1 1
0 0 2
1 0 0
2 0 0
2 2 1
2 0 1
2 2 0
10 6
2 0 0
1 3 1
2 0 2
0 3 3
2 3 0
3 2 1
0 1 2
2 0 3
2 1 0
0 1 1
10 2
3 0 1
3 2 1
0 3 0
0 2 3
2 1 1
3 0 0
2 1 2
0 2 2
1 2 3
1 3 3
10 3
0 0 0
1 2 1
0 2 0
2 2 1
1 1 0
2 1 2
1 2 2
2 1 0
2 0 2
0 2 2
10 6
2 2 1
1 1 0
3 3 1
2 1 2
2 3 3
0 1 0
0 3 3
3 0 0
3 0 3
0 3 2
10 5
1 0 1
2 1 1
1 1 1
0 1 0
0 2 0
0 1 2
0 2 2
0 1 1
1 0 0
0 2 1
10 5
2 0 1
2 2 2
0 1 0
0 1 2
1 1 1
2 2 1
1 1 2
2 1 0
2 1 1
0 0 2
10 4
1 1 0
3 0 0
3 0 1
2 1 1
1 2 2
2 3 0
0 0 3
1 0 3
2 0 3
1 3 2
10 7
2 2 0
0 1 2
1 0 2
2 2 2
0 1 0
2 1 1
1 1 1
1 2 1
1 2 2
1 0 1
10 6
1 1 2
0 1 1
0 0 2
0 0 1
2 2 1
1 1 0
1 2 1
2 2 0
1 0 2
2 1 0
10 7
1 0 1
1 0 0
1 1 2
0 2 0
0 1 1
0 1 0
1 1 0
1 1 1
2 0 2
2 1 2
10 7
1 2 1
2 0 0
0 0 0
2 1 1
1 2 0
1 1 2
2 2 1
0 1 2
0 2 1
0 1 0
10 8
0 1 1
1 1 2
3 0 3
2 0 1
1 1 3
1 3 2
0 2 0
0 1 0
1 2 1
1 0 1
10 7
3 1 1
2 3 0
1 0 3
0 1 2
1 0 0
1 1 1
2 1 2
2 1 0
0 3 3
0 1 1
10 6
1 0 0
3 1 3
3 3 3
1 2 3
3 3 0
2 3 0
0 0 1
1 1 2
2 1 3
1 2 2
10 8
1 2 1
3 1 3
2 2 3
3 3 1
3 0 2
1 0 0
0 3 1
2 0 1
0 2 0
0 1 0
10 5
3 0 3
2 1 0
0 2 3
0 2 2
0 3 1
3 1 1
1 3 0
2 3 1
0 1 3
3 2 2
10 5
2 1 1
0 2 2
2 0 2
2 2 2
1 2 0
0 2 0
2 2 0
0 0 2
0 0 0
2 1 0
10 8
0 1 2
1 2 2
0 1 1
2 1 1
2 2 2
0 1 0
2 0 2
0 2 1
1 0 0
2 1 0
10 2
0 3 1
1 0 2
3 1 0
3 1 2
2 2 0
1 2 2
3 3 0
2 0 2
3 1 1
2 2 3
10 5
0 2 2
2 0 1
0 0 2
2 2 0
0 0 0
0 2 0
2 2 2
2 0 2
1 2 1
0 1 2
10 8
2 2 1
2 0 1
0 2 0
1 2 0
2 1 0
0 1 1
2 2 0
1 1 0
1 1 2
1 2 1
10 7
1 1 0
1 2 1
0 1 0
0 2 1
0 0 2
1 0 1
2 0 0
0 1 1
1 2 2
2 1 0
10 3
1 0 3
0 2 1
3 1 2
0 2 2
0 1 1
3 0 3
2 3 3
1 2 0
3 0 1
1 3 3
10 4
1 0 2
2 3 1
1 1 2
1 0 1
2 3 2
1 3 1
2 2 1
0 1 2
3 3 3
3 0 3
10 5
0 1 2
0 1 0
2 2 2
1 2 0
0 2 1
0 2 2
1 2 2
2 1 0
2 1 2
1 1 1
10 2
2 1 1
2 0 1
1 2 0
1 1 1
0 0 1
1 1 2
0 2 1
1 0 0
2 2 0
0 1 2
10 4
1 2 3
0 2 3
3 1 1
1 1 2
2 0 0
2 3 3
3 0 1
2 1 1
2 0 3
2 2 0
10 4
3 0 1
3 1 3
2 0 3
1 1 2
2 0 1
0 3 2
2 0 2
1 0 0
3 2 2
1 2 2
10 7
0 1 0
2 2 2
3 0 1
2 0 2
1 1 1
0 0 3
3 1 3
3 3 2
0 0 0
0 2 2
10 9
1 2 3
3 2 0
3 2 1
1 1 0
2 1 2
2 2 3
2 2 0
1 1 1
3 0 3
0 3 2
10 5
2 2 2
2 1 0
1 2 1
1 1 0
2 2 1
1 1 2
0 2 2
1 2 0
0 1 0
0 1 2
10 5
1 0 1
3 1 3
0 2 0
2 3 3
0 3 1
1 3 1
3 2 2
1 0 2
2 2 2
2 1 3
10 6
1 2 1
0 0 3
3 2 2
1 2 2
3 1 3
1 0 0
0 0 2
0 0 1
3 1 1
0 3 3
10 9
1 1 1
0 1 1
0 2 2
2 1 2
2 2 0
1 1 0
2 2 1
2 1 0
1 2 1
2 1 1
10 6
1 0 1
2 2 1
2 0 0
0 2 1
2 1 1
2 0 2
1 1 2
1 0 0
0 1 1
0 1 0
10 4
3 3 1
2 3 2
3 1 2
0 3 2
0 3 0
2 0 1
1 0 0
0 2 3
3 1 3
2 1 0
10 4
1 1 2
2 2 2
0 1 1
2 1 2
1 0 0
2 1 1
2 2 1
1 2 0
1 0 2
0 1 2
10 3
1 0 1
1 0 0
0 2 2
0 1 0
0 0 1
2 2 0
2 0 2
0 2 1
2 2 1
1 1 0
10 2
2 3 0
3 2 0
0 3 1
2 0 0
3 3 0
0 0 3
2 1 1
1 3 3
3 2 1
0 2 3
10 6
1 0 1
0 0 1
1 1 2
2 2 1
2 1 1
1 2 2
2 1 0
2 0 2
1 0 2
2 0 1
10 8
1 3 0
3 3 3
2 1 3
2 2 0
0 3 1
2 1 0
0 0 1
0 0 2
1 2 3
3 3 0
10 6
0 2 0
1 2 0
1 2 1
2 2 1
1 1 1
1 0 1
2 2 2
0 0 1
0 0 0
1 1 2
10 4
1 0 1
2 0 0
1 3 0
0 2 0
1 1 2
0 0 0
2 1 1
2 3 0
1 1 1
1 1 0
10 9
1 3 0
3 0 2
0 2 3
0 2 1
3 1 2
1 1 3
0 3 2
2 0 1
1 2 2
0 0 3
10 2
0 1 2
0 2 0
1 1 2
2 2 2
1 2 0
2 2 0
1 0 1
0 1 0
0 2 2
0 0 0
10 3
1 2 2
0 0 0
2 0 0
0 2 0
2 1 1
1 1 1
2 0 2
2 1 0
0 1 1
1 0 0
10 3
2 0 1
2 1 0
0 0 1
2 2 0
1 0 1
1 2 2
1 1 2
0 2 2
1 0 0
2 1 1
10 2
1 0 2
0 0 2
2 2 2
2 1 2
0 0 1
0 2 1
2 2 1
1 2 0
2 2 0
1 0 1
10 5
0 0 1
2 0 0
2 2 2
2 2 1
1 1 0
2 1 1
0 1 1
1 2 0
1 2 2
1 0 1
10 8
1 1 1
2 1 2
2 1 0
1 0 2
2 1 1
0 2 2
1 2 2
2 0 2
1 0 1
0 1 1
10 9
0 1 2
0 3 3
0 3 0
3 3 1
3 2 2
2 2 0
3 3 3
0 2 0
3 1 0
1 3 1
10 3
0 0 1
2 1 1
0 2 1
1 1 2
2 0 2
1 0 0
2 1 0
1 1 0
2 2 2
0 2 2
10 9
0 1 1
2 3 3
1 1 3
0 0 2
2 2 1
3 3 2
1 0 3
2 1 2
2 1 1
1 2 0
10 6
3 2 3
0 1 2
2 1 2
1 3 3
1 0 2
0 1 1
2 2 1
0 0 2
3 1 2
0 0 3
10 9
3 2 0
0 3 0
2 3 2
3 0 2
0 3 3
2 2 2
0 1 3
3 2 2
0 2 2
2 3 1
10 7
2 1 0
2 3 1
1 3 3
3 1 3
1 3 1
0 1 1
2 1 3
3 0 0
0 3 1
2 2 1
10 6
3 3 0
0 0 3
0 1 2
2 0 0
3 2 0
3 1 2
1 3 1
1 1 0
3 0 2
0 3 3
10 3
3 3 0
3 0 1
1 0 0
3 0 3
1 1 1
1 0 3
2 3 1
1 3 2
2 3 0
1 2 0
10 5
1 1 2
2 2 1
2 0 0
2 1 1
0 2 1
0 2 2
1 2 2
0 0 2
2 2 0
2 0 1
10 9
1 0 2
1 1 2
0 2 0
1 1 0
0 0 0
2 1 2
0 2 1
2 0 1
2 2 2
1 0 1
10 3
0 1 2
2 1 0
2 1 1
1 1 0
2 0 1
0 0 2
1 2 2
2 2 2
2 2 0
1 0 0
10 2
1 1 0
2 1 1
1 0 1
2 1 2
0 0 0
1 0 2
2 0 1
1 1 2
2 2 0
0 1 1
10 6
1 0 1
0 1 1
1 1 1
0 2 2
2 2 0
1 2 0
1 2 2
0 2 0
0 2 1
0 1 0
10 9
1 0 2
0 1 1
0 1 2
1 2 2
2 1 2
0 1 0
2 2 2
0 2 2
2 2 1
2 0 0
10 3
2 0 2
1 1 2
2 1 1
0 0 2
1 2 2
0 1 0
1 0 0
0 0 0
2 1 0
2 2 0
10 8
2 1 1
2 3 0
1 2 2
2 1 2
1 0 3
0 2 3
3 3 0
2 3 3
1 2 3
3 1 1
10 7
0 2 2
2 0 1
0 0 2
2 2 2
2 2 1
2 2 0
0 1 1
2 0 2
2 1 0
2 1 1
10 5
1 1 1
0 2 1
2 1 2
2 2 2
0 1 0
2 0 0
1 2 0
1 0 1
0 1 2
0 2 2
10 8
2 1 2
2 0 1
0 1 2
2 1 0
1 2 2
2 2 2
0 0 1
1 0 2
2 0 0
2 0 2
10 5
2 2 0
0 2 1
0 2 2
1 1 2
0 0 0
1 1 1
2 1 1
2 1 0
1 0 0
0 1 0
10 9
2 0 0
2 1 0
0 1 1
1 1 1
0 0 1
2 2 1
1 1 0
1 2 1
0 0 2
2 1 2
10 3
1 3 2
3 2 1
1 2 1
2 3 1
3 1 1
3 0 1
1 2 2
2 3 2
1 0 2
1 1 0
10 5
3 0 2
1 2 1
0 0 2
0 3 1
1 0 2
0 0 0
2 0 2
1 2 2
2 0 3
1 0 1
10 8
0 0 2
2 2 1
2 1 0
2 1 2
0 1 0
2 0 2
2 0 1
1 1 0
0 2 2
1 2 0
10 9
3 3 3
1 3 0
0 1 1
3 1 0
0 2 1
3 0 2
3 1 1
3 1 3
2 0 2
2 3 0
10 2
3 0 0
2 0 3
1 0 2
1 2 3
2 2 0
2 2 2
1 0 1
0 1 3
1 1 3
0 2 3
10 7
1 2 0
2 2 2
3 0 2
0 1 1
1 0 1
3 3 0
0 2 1
0 3 2
0 3 3
2 1 0
10 8
1 2 2
2 0 3
0 2 1
1 3 1
2 1 0
2 0 2
1 0 0
2 1 2
1 0 2
1 0 3
10 3
0 1 0
1 1 1
1 2 0
0 0 1
1 1 0
2 2 0
0 0 2
2 1 2
1 0 2
1 1 2
10 2
2 0 3
2 2 1
3 1 2
3 1 3
3 3 3
3 3 1
2 0 2
1 3 3
1 3 2
2 3 2
10 3
0 1 3
3 1 0
1 2 0
3 2 2
2 3 0
1 3 1
2 0 3
2 0 0
1 2 1
2 1 2
10 3
2 1 3
1 2 2
0 0 2
0 1 0
2 2 3
1 1 3
3 1 1
0 1 2
2 0 2
3 1 0
10 3
3 1 3
1 0 3
3 0 3
2 2 0
0 2 0
1 0 1
0 0 0
3 1 1
1 1 3
0 2 2
10 2
1 0 2
1 1 1
2 0 2
3 2 2
0 2 1
2 1 2
1 2 3
2 3 2
1 1 2
0 1 2
10 2
0 0 2
0 0 1
1 0 2
1 2 1
0 2 2
2 2 0
0 1 0
1 0 1
1 2 0
1 1 1
10 8
1 2 3
3 0 0
1 0 1
3 1 3
0 0 0
2 0 2
2 2 3
1 1 0
1 0 0
2 2 0
10 5
0 2 0
2 2 2
0 1 0
0 2 2
0 2 1
1 1 0
1 0 0
2 1 1
0 0 2
1 2 2
10 7
0 1 0
0 2 1
2 1 1
0 0 2
2 1 0
1 2 0
1 1 1
1 1 0
2 2 2
1 0 2
10 6
1 2 1
0 0 2
0 0 1
0 2 2
0 1 2
1 0 1
2 2 1
2 2 0
1 1 0
1 0 0
10 2
1 2 0
3 2 2
2 0 1
2 3 1
1 1 0
0 3 1
0 1 2
0 1 3
0 3 0
1 0 0
10 7
2 2 1
0 1 2
0 1 0
2 0 0
1 0 1
2 1 0
1 2 2
2 2 2
1 0 0
1 2 1
10 3
1 0 2
0 0 2
2 1 1
2 0 2
2 2 2
0 0 1
2 2 1
0 1 1
0 0 0
0 2 0
10 9
0 2 1
0 2 0
0 0 3
1 3 3
0 1 0
3 1 0
2 2 3
3 3 3
1 1 3
1 1 1
10 7
2 2 2
0 1 0
2 2 1
2 1 2
2 2 0
1 1 0
0 1 2
0 1 1
0 0 0
0 0 1
10 9
1 1 1
2 1 1
0 0 0
2 2 2
1 1 2
1 0 0
2 2 1
2 0 0
2 0 2
1 0 2
10 7
1 0 0
1 1 0
1 1 2
0 1 2
3 2 3
2 2 3
3 3 1
2 2 0
2 2 2
1 2 2
10 9
1 2 1
2 2 0
1 0 0
1 2 0
1 0 1
1 0 2
0 1 0
0 2 0
0 2 1
2 0 1
10 2
0 1 0
2 1 0
2 1 1
0 2 0
1 0 1
1 2 0
0 2 2
2 0 1
1 0 0
1 2 1
10 6
0 3 2
3 2 0
0 0 3
0 0 2
0 2 1
0 3 0
3 0 3
1 2 2
3 1 2
2 1 1
10 3
2 0 2
1 1 2
1 0 2
1 1 0
0 1 2
2 2 2
1 0 0
0 2 0
0 1 1
1 2 1
10 2
0 2 0
0 1 2
2 3 1
0 0 1
3 3 2
3 0 0
3 0 1
2 2 3
1 0 3
3 2 1
10 6
1 2 0
2 1 2
0 1 1
2 2 0
3 3 1
2 0 1
1 3 2
2 0 0
3 0 2
2 0 3
10 2
1 1 3
3 2 0
0 1 2
2 2 3
1 2 2
3 0 3
1 2 3
3 3 1
0 3 1
3 1 0
10 2
3 3 3
1 2 2
2 3 3
1 0 2
3 2 3
3 0 0
2 3 1
3 0 2
2 3 2
2 2 3
10 6
2 0 1
3 3 3
2 0 3
1 3 0
0 3 2
2 2 1
1 0 2
1 3 3
2 1 1
1 1 3
10 9
2 2 3
0 3 1
1 3 2
1 3 1
2 0 3
2 3 2
1 2 0
3 3 3
3 2 1
3 1 0
10 9
2 0 3
0 0 2
3 0 1
2 2 3
3 3 1
3 2 3
0 0 3
3 2 2
1 1 0
0 0 0
10 3
3 2 3
3 3 3
2 2 0
1 1 0
0 1 0
0 3 3
0 0 2
1 3 3
0 0 0
0 1 3
10 9
2 0 1
1 2 3
3 0 0
1 0 0
0 3 0
1 3 1
3 2 2
0 1 0
0 2 3
0 1 3
10 3
1 2 2
2 1 2
2 2 0
1 1 0
2 0 2
1 0 2
0 2 0
0 2 1
0 1 0
2 1 1
10 9
3 2 0
1 1 3
2 0 1
1 0 0
2 1 1
2 3 1
0 2 2
0 0 2
2 2 3
1 0 3
10 7
2 1 1
2 1 0
1 1 1
2 2 0
1 2 1
0 1 1
1 0 2
0 2 1
1 1 2
1 2 0
10 7
0 0 1
3 1 1
2 1 0
2 0 3
2 1 3
1 1 3
2 2 0
1 2 3
2 3 1
1 2 2
10 9
0 1 1
0 3 0
2 3 3
2 1 0
0 0 1
1 2 0
2 2 0
0 0 0
3 2 1
1 0 0
10 4
3 1 0
0 2 2
2 1 1
1 2 0
2 3 1
2 0 1
2 0 0
1 3 1
1 3 0
1 2 3
10 5
2 0 1
1 1 1
1 1 2
2 2 1
2 1 0
1 0 2
0 0 1
2 1 2
2 0 0
2 1 1
10 4
2 1 2
0 1 1
1 0 0
2 0 1
0 0 1
2 1 1
1 0 2
1 2 2
1 2 1
0 2 2
10 3
2 2 1
1 1 1
1 2 2
1 0 0
3 0 1
0 3 2
3 0 3
1 1 3
1 1 2
1 2 0
10 4
2 2 3
1 0 1
2 0 0
2 3 2
0 1 1
1 1 1
2 1 2
0 1 2
2 3 1
3 2 0
10 6
0 3 1
1 2 3
3 3 3
1 0 0
2 3 1
1 2 0
1 1 0
0 1 3
3 2 2
3 2 3
10 4
2 1 1
1 2 2
2 2 0
2 0 1
2 0 0
1 1 2
1 0 0
0 0 2
0 0 1
1 2 1
10 4
2 0 2
2 0 1
1 1 1
2 2 0
1 0 2
2 2 2
2 0 0
0 1 1
2 1 0
0 2 0
10 4
0 3 0
2 1 0
1 1 3
2 3 2
1 2 3
1 0 1
0 1 3
3 3 3
1 3 0
1 0 0
10 8
0 2 2
1 1 0
0 1 2
0 1 0
1 0 1
0 0 1
1 1 2
2 0 1
2 2 2
2 2 1
10 3
1 2 2
2 1 0
2 1 2
0 0 0
1 2 1
1 0 0
1 0 1
0 2 1
1 1 1
0 1 2
10 4
0 2 0
0 1 2
2 1 1
2 1 2
2 2 1
1 2 0
0 2 1
0 0 0
0 0 2
1 2 2
10 5
1 2 1
0 1 0
0 0 2
2 0 1
2 1 0
1 1 0
0 2 0
0 2 1
1 1 1
2 0 0
10 2
2 0 1
0 2 2
2 1 2
0 0 1
2 0 2
1 2 1
1 0 1
2 1 1
2 0 0
2 2 1
10 6
1 2 2
2 2 2
2 0 1
2 1 2
1 2 1
1 0 0
2 0 0
0 0 2
2 2 0
0 0 1
10 2
2 0 0
2 0 1
0 1 1
1 0 3
2 3 0
1 2 3
0 1 0
1 2 1
3 2 2
2 0 3
10 4
3 1 1
2 2 0
2 1 3
1 3 3
0 1 0
0 0 1
0 1 3
2 0 0
1 1 1
3 0 1
10 7
2 0 0
1 2 1
2 2 2
0 2 0
1 0 2
1 2 0
0 0 0
0 2 2
2 1 1
2 2 0
10 2
1 0 0
2 0 0
2 2 1
0 1 2
2 1 2
0 2 2
2 2 0
1 2 0
0 0 1
1 2 2
10 5
0 0 1
1 1 0
0 1 2
1 2 2
1 1 1
0 2 0
2 1 0
1 0 2
2 1 2
2 1 1
10 2
1 3 2
0 0 3
3 0 2
2 1 2
2 3 2
1 0 3
1 2 2
2 1 0
1 1 3
3 1 0
10 5
1 3 0
2 0 3
2 3 2
3 2 3
0 2 3
1 2 3
0 2 1
0 3 3
0 2 0
0 3 0
10 7
1 2 0
2 1 3
1 0 3
3 3 3
0 3 3
0 3 0
0 2 1
0 2 0
0 1 1
2 0 2
10 7
2 1 1
2 0 0
0 2 2
2 1 2
0 0 2
1 2 1
2 2 1
1 0 2
0 1 2
0 2 1
10 6
2 3 2
0 2 1
2 3 3
2 0 1
3 0 3
0 2 2
1 2 3
2 0 2
2 2 2
1 3 0
10 5
3 3 1
2 1 0
2 0 0
1 2 2
3 3 3
1 0 1
0 0 2
3 1 1
3 3 0
1 1 0
10 7
2 2 1
2 2 2
0 1 0
0 0 1
1 2 1
1 0 0
0 2 1
2 1 2
0 1 2
1 1 1
10 2
1 1 3
0 2 1
0 1 3
1 2 0
0 2 2
2 0 0
0 3 0
2 1 2
0 3 2
3 1 0
10 2
2 0 0
0 1 0
1 2 0
2 2 2
0 0 2
2 0 1
2 1 0
1 0 0
1 1 0
0 2 2
10 8
2 0 0
0 1 0
2 0 1
2 2 0
1 1 1
1 2 2
2 0 2
1 0 1
0 0 1
0 0 2
10 6
2 1 2
1 0 1
0 0 0
2 0 1
0 2 2
1 1 1
2 0 0
1 2 1
0 2 1
1 2 2
10 4
0 1 0
1 0 1
3 3 2
3 3 0
0 1 2
1 1 1
2 2 1
0 0 2
2 0 3
0 2 2
10 2
3 0 2
1 0 2
2 0 1
2 1 3
3 0 1
2 3 1
1 2 2
0 1 3
1 3 1
1 2 0
10 5
1 1 1
2 2 0
2 3 3
2 1 3
0 1 2
0 3 0
1 3 0
0 0 1
3 1 2
3 3 1
10 5
2 0 2
2 2 2
2 1 1
0 2 2
1 2 1
2 0 1
1 2 2
1 1 0
1 1 2
0 2 1
10 4
1 0 3
2 2 1
3 3 3
0 3 3
2 3 3
3 2 2
1 3 0
2 1 3
3 2 1
2 2 0
10 8
1 2 0
0 0 2
2 2 0
2 2 2
2 1 0
1 1 2
1 0 2
0 1 0
0 1 2
2 0 2
10 3
3 1 0
3 1 2
0 2 1
0 1 0
0 2 0
0 3 0
0 0 0
3 0 2
3 2 1
2 1 1
10 3
2 2 1
2 1 2
0 2 0
2 1 1
2 1 0
1 0 1
2 0 1
0 2 1
1 2 1
0 1 1
10 4
2 1 1
1 3 3
3 0 3
2 3 3
0 1 2
2 2 0
1 3 0
0 2 3
3 1 2
2 3 0
10 3
2 0 2
0 0 2
1 2 1
2 1 1
0 2 2
1 1 2
2 0 1
2 2 1
0 1 2
0 2 1
10 5
1 0 0
2 0 0
2 1 0
2 0 1
1 2 0
2 1 2
0 2 1
2 2 2
0 1 2
0 1 0
10 5
0 1 1
2 2 0
1 2 1
1 0 2
0 0 1
2 1 0
1 1 0
1 2 0
2 1 2
0 1 2
10 3
0 2 0
0 2 2
1 2 0
0 3 3
1 0 3
3 0 0
1 1 3
2 3 1
3 1 3
3 1 1
10 4
1 3 1
3 0 0
3 2 2
0 2 3
1 2 0
3 0 1
0 0 3
3 1 3
1 0 0
1 1 0
10 6
1 1 0
1 2 0
1 0 2
2 0 2
1 1 2
0 1 1
2 2 0
0 0 2
0 2 0
2 1 1
10 9
2 0 0
1 2 2
2 1 0
2 1 1
2 2 0
2 2 1
1 1 2
2 2 2
0 2 2
2 0 1
10 8
1 1 2
1 0 2
2 2 1
0 2 2
2 2 2
0 2 0
1 1 1
0 1 0
2 0 0
1 0 1
10 8
3 0 2
0 3 2
2 3 3
0 0 3
3 3 0
3 3 3
3 2 1
2 3 0
1 2 0
2 0 3
10 7
2 1 3
2 0 1
3 1 0
3 2 2
0 2 3
0 3 3
1 2 2
2 3 0
1 0 2
0 1 2
10 2
0 3 3
3 3 1
1 0 1
0 1 2
0 2 0
2 2 3
0 0 3
0 2 2
1 3 0
3 1 2
10 2
3 0 0
1 0 1
2 3 0
0 0 2
1 2 3
1 2 2
2 1 0
3 2 1
1 3 2
1 0 3
10 6
3 3 2
3 3 1
0 3 0
1 2 3
2 2 3
3 1 1
1 2 0
2 0 0
0 1 1
1 0 2
10 6
0 0 0
0 1 2
1 1 1
1 0 1
0 2 1
2 1 0
1 1 0
0 0 1
2 1 2
1 2 1
10 5
2 2 0
2 1 0
0 0 1
1 2 2
2 1 2
1 0 2
0 2 2
0 2 0
0 1 0
0 2 1
10 4
1 1 2
3 1 0
1 0 0
0 2 3
0 0 3
2 2 1
3 3 0
3 3 2
0 3 1
2 2 0
10 6
1 2 2
0 1 0
1 2 0
1 0 1
2 2 1
2 2 2
0 1 1
2 1 0
0 2 1
1 0 0
10 7
2 3 1
2 2 1
3 0 0
2 1 3
3 1 0
3 2 1
1 0 0
2 2 0
0 3 1
1 1 1
10 3
2 2 1
1 3 1
2 3 1
2 2 2
0 3 1
3 3 2
2 3 2
1 2 0
3 0 3
1 3 3
10 6
1 0 2
1 2 2
2 0 3
1 2 1
2 1 3
3 0 2
2 1 1
0 0 0
1 3 1
3 3 1
10 3
0 0 1
2 3 0
0 0 0
3 0 1
0 1 3
0 3 0
3 2 0
2 0 3
1 3 0
1 0 0
10 9
1 0 0
2 1 1
2 2 2
1 1 0
1 2 0
1 1 1
0 0 2
2 0 1
2 1 2
0 1 2
10 6
1 2 0
1 3 3
3 2 3
2 0 1
3 0 1
0 0 0
3 2 0
0 1 1
3 0 3
2 3 1
10 9
0 0 3
0 3 0
1 1 2
3 3 0
3 3 3
3 2 1
2 2 3
2 1 1
0 0 2
1 1 3
10 7
1 0 1
0 0 2
0 1 2
2 2 0
1 0 0
1 2 1
0 2 0
1 1 0
0 0 0
0 1 0
10 5
1 1 2
0 1 1
1 2 1
0 3 0
3 0 0
1 0 3
1 3 1
1 2 0
0 1 3
2 0 1
10 6
0 1 2
1 1 3
0 0 1
1 1 2
0 1 0
1 2 2
1 2 1
3 3 1
0 0 2
0 3 1
10 2
1 1 0
1 0 0
2 1 0
1 0 2
0 0 1
1 1 1
0 2 0
0 1 2
0 0 0
1 2 1
10 7
3 3 0
0 0 3
3 2 1
3 0 3
3 1 3
1 1 1
2 2 0
2 0 3
2 3 3
2 3 2
10 4
0 0 1
1 3 0
3 0 3
1 2 2
2 1 0
3 0 0
0 3 2
3 3 2
1 1 3
3 3 3
10 6
0 0 0
1 2 3
0 0 3
3 0 1
2 1 2
1 0 1
3 1 3
3 1 0
2 2 2
1 3 0
10 7
3 3 0
2 1 3
3 1 3
1 3 3
3 2 1
3 1 0
3 2 0
2 1 1
2 2 2
1 1 3
10 7
0 0 1
2 2 1
3 2 1
0 1 2
0 1 0
1 1 1
2 1 1
1 1 3
0 2 0
1 2 0
10 7
0 0 1
1 0 2
2 0 0
0 0 2
1 2 1
1 2 2
0 1 1
2 1 0
2 2 1
1 1 0
10 4
2 0 0
1 1 0
1 2 0
2 1 0
0 0 1
0 1 2
0 2 2
1 1 2
2 1 1
2 2 1
10 8
2 2 2
1 2 2
0 2 1
2 3 3
2 1 1
1 0 3
0 3 0
0 3 2
1 1 1
2 3 2
10 4
0 2 0
1 1 1
3 2 1
2 1 0
0 1 3
0 2 2
3 0 3
3 1 2
1 2 0
0 1 1
10 9
0 1 2
0 1 1
2 2 0
1 1 2
1 0 2
2 2 2
1 0 1
0 2 1
1 2 0
2 1 1
10 6
2 3 3
3 2 2
0 2 0
0 0 3
2 3 1
0 3 0
1 2 1
3 3 1
3 0 0
1 2 3
10 5
2 3 1
1 1 3
0 2 1
3 1 1
2 3 3
1 0 0
2 2 3
1 3 3
0 3 3
1 1 1
10 9
2 2 2
0 2 0
2 1 2
0 0 0
0 1 1
2 0 1
1 0 1
0 1 2
1 1 2
1 2 0
10 3
2 1 0
0 2 0
2 0 0
1 2 0
1 0 1
2 2 2
1 0 2
0 1 0
0 0 1
2 1 2
10 8
3 2 0
0 0 0
2 3 0
1 0 2
2 2 3
2 1 1
3 0 1
2 2 0
2 0 0
3 1 1
10 3
2 3 2
3 3 1
2 3 3
3 1 2
0 0 1
0 2 3
1 2 0
3 2 1
3 3 3
2 3 0
10 7
1 2 2
1 1 2
2 2 1
1 2 1
2 0 2
0 2 1
2 2 0
0 1 1
1 0 2
0 0 2
10 4
0 0 1
0 1 1
2 3 1
1 2 1
3 2 0
1 0 2
2 1 2
1 1 0
2 2 2
2 0 3
10 4
2 1 1
3 1 3
0 1 3
2 3 2
2 0 1
1 2 0
0 0 3
2 2 0
1 1 1
1 1 0
10 9
3 1 1
2 1 1
3 0 2
0 2 1
0 0 3
2 2 0
0 3 0
0 1 3
3 2 1
1 1 0
10 8
2 2 1
3 2 0
0 1 1
0 0 3
3 2 1
0 1 0
0 0 2
3 3 3
2 3 1
0 3 0
10 5
2 2 2
0 1 1
1 2 1
2 0 2
1 0 0
0 2 2
0 1 2
2 0 1
2 1 2
2 1 0
10 3
1 3 3
3 3 1
0 2 2
1 0 0
2 3 3
3 0 2
1 1 0
2 0 3
0 3 2
0 0 3
10 3
0 2 3
3 0 0
3 1 3
2 3 3
3 0 2
0 0 1
2 2 0
3 0 1
2 1 1
2 0 3
10 6
2 1 1
0 2 0
1 1 0
1 1 2
2 1 0
0 0 0
1 2 2
1 0 0
2 1 2
1 0 2
10 9
2 3 0
3 0 1
0 0 0
0 0 1
1 1 2
3 1 1
0 3 3
1 1 0
1 1 3
2 3 2
10 3
1 1 2
2 1 2
2 0 1
0 2 2
0 1 1
2 1 0
1 0 2
1 0 0
2 2 2
2 0 0
10 3
3 3 2
3 1 0
1 2 1
2 2 0
2 0 2
1 2 2
3 3 3
1 2 0
2 1 2
3 2 2
10 2
1 0 1
1 2 0
0 2 0
0 0 0
2 0 1
1 2 2
2 1 0
0 0 1
0 1 0
2 2 0
10 5
2 1 2
0 1 0
0 0 1
2 0 0
0 1 1
2 1 1
1 1 0
0 2 0
0 0 0
0 1 2
10 2
1 0 3
3 2 1
2 1 1
3 0 3
1 1 3
1 0 0
1 1 2
2 3 1
2 2 1
1 2 1
10 2
1 0 2
0 1 0
0 1 2
2 0 2
0 2 1
2 2 1
0 1 1
0 2 0
2 1 2
1 1 0
10 4
2 2 2
0 0 1
2 2 0
2 2 1
0 2 1
1 1 2
1 0 2
0 0 0
2 1 1
1 2 1
10 7
0 2 0
0 1 2
2 1 0
0 2 1
0 1 0
2 0 1
1 2 2
0 2 2
1 2 0
1 0 1
10 2
3 0 0
2 0 2
0 3 2
3 2 2
2 1 1
1 1 2
0 1 1
1 3 0
3 3 0
0 1 0
10 5
1 0 1
3 1 1
1 2 3
0 1 1
3 0 0
0 0 0
0 3 0
1 0 3
3 2 0
1 2 2
10 3
1 0 0
0 3 0
3 3 3
1 2 2
0 0 3
3 2 2
3 3 0
2 3 0
1 0 3
2 1 1
10 4
3 3 0
3 1 1
1 3 3
0 2 1
0 3 3
0 2 2
2 2 2
2 0 2
1 3 1
3 2 1
10 4
2 1 1
0 1 1
1 2 0
2 2 1
0 0 2
1 0 2
0 1 0
2 2 2
1 0 0
0 2 1
10 6
2 3 3
1 2 0
2 1 1
3 0 1
0 3 1
1 0 0
0 2 1
2 1 2
1 0 1
2 0 0
10 8
1 2 1
2 1 1
0 0 1
2 0 2
0 2 2
0 1 1
2 1 0
0 2 0
0 1 0
1 0 2
10 6
1 2 1
2 1 0
2 1 1
0 2 0
1 1 0
1 2 2
2 1 2
0 1 2
1 2 0
2 2 0
10 6
3 2 2
1 1 2
2 3 0
2 0 0
0 0 2
2 1 0
1 3 0
1 2 3
0 2 3
2 1 3
10 4
0 1 0
2 0 0
2 2 0
2 1 1
0 1 1
2 2 2
1 1 0
0 1 2
1 0 2
1 0 1
10 7
2 2 2
2 1 2
1 1 0
1 0 1
1 0 0
0 2 0
0 2 1
0 1 0
0 0 2
1 0 2
10 4
3 3 2
2 3 3
3 1 0
2 2 0
1 2 0
3 2 1
3 0 1
3 1 1
0 2 0
0 0 3
10 7
3 0 0
2 3 2
0 1 1
3 3 2
0 1 2
0 1 0
2 1 2
2 0 0
2 0 1
1 3 1
10 9
0 1 2
0 0 2
1 2 1
1 1 0
1 0 1
0 0 0
2 2 0
2 1 0
1 1 1
2 0 1
10 9
0 2 1
0 2 2
0 1 1
1 2 1
2 1 1
1 2 0
1 1 2
0 0 2
1 0 0
2 2 0
10 2
2 1 2
2 1 1
1 0 1
2 1 0
2 0 0
2 2 2
1 2 2
1 1 2
0 0 1
0 2 1
10 9
3 2 1
3 3 0
2 1 3
3 3 2
0 0 2
2 0 1
0 3 2
0 1 1
2 2 1
3 2 0
10 5
2 2 2
1 2 0
0 2 2
2 0 1
2 0 2
1 0 2
2 2 1
0 0 1
0 1 2
0 1 0
10 5
2 1 2
2 3 0
2 2 0
2 0 1
1 2 3
2 1 3
0 3 0
1 1 1
1 0 1
3 1 1
10 4
2 0 1
1 2 1
3 0 2
2 0 2
0 2 2
2 1 2
1 0 0
0 3 2
2 1 0
0 0 2
10 7
3 2 1
1 2 2
1 1 2
2 0 1
2 0 0
1 3 1
0 2 3
0 2 1
3 1 2
0 1 1
10 3
3 0 1
2 1 0
0 2 1
2 0 1
3 0 3
2 2 1
3 1 1
1 2 0
2 0 3
2 3 1
10 9
0 0 0
1 0 2
2 3 3
0 0 1
0 3 2
3 2 3
1 0 1
1 1 0
0 0 2
1 1 3
10 2
2 1 0
2 0 2
0 0 1
1 1 1
2 2 1
0 1 0
1 0 0
1 1 0
0 0 0
2 0 1
10 3
0 1 1
3 1 3
2 1 2
2 3 3
1 0 2
3 3 0
3 2 1
1 2 2
1 3 3
1 1 2
10 4
2 2 0
0 1 2
0 2 0
0 0 0
2 2 1
2 0 0
2 2 2
1 1 2
1 0 1
0 1 0
10 7
0 2 3
1 2 2
3 0 0
1 2 0
2 0 3
1 1 0
2 2 1
2 1 1
3 3 1
0 1 1
10 8
0 0 2
1 1 3
1 3 3
2 2 2
0 0 1
3 2 0
0 2 0
3 1 0
3 1 2
2 2 3
10 9
3 1 3
0 0 2
3 2 1
1 3 1
0 2 1
1 1 3
1 2 3
1 0 1
0 1 0
1 0 0
10 9
0 0 2
2 2 0
0 0 1
2 1 2
1 2 2
1 1 2
0 2 1
0 2 2
2 0 2
2 2 1
10 2
1 2 2
1 1 2
0 1 2
0 2 1
0 0 1
2 2 0
2 0 2
2 1 0
0 2 0
0 2 2
10 7
1 0 2
1 2 1
0 2 2
2 1 0
2 0 2
0 1 1
2 2 1
0 2 0
1 0 0
1 2 0
10 3
1 1 0
2 1 0
0 1 2
1 0 2
0 1 0
2 0 1
1 0 0
2 2 1
0 2 1
0 0 1
10 8
1 2 2
3 1 1
3 1 2
1 3 1
1 0 2
0 2 3
1 3 3
0 0 2
2 1 1
2 1 3
10 7
1 0 3
0 1 1
2 2 3
2 1 0
3 3 0
2 3 3
1 3 3
2 0 2
2 0 3
1 1 2
10 9
0 0 1
1 1 1
0 2 1
2 2 1
2 2 0
2 2 2
0 1 2
2 0 2
2 0 1
1 1 0
10 5
1 2 0
0 2 0
2 0 0
2 1 0
0 1 0
0 1 1
0 2 1
2 0 1
1 1 0
1 0 2
10 9
2 1 1
0 2 3
0 3 2
1 1 2
2 3 0
2 3 1
2 2 2
2 3 3
3 2 0
2 0 2
10 7
1 1 0
0 2 0
0 0 3
0 0 0
0 3 0
1 0 0
2 3 2
2 1 3
0 2 1
1 0 2
10 3
1 0 1
0 2 2
0 2 1
2 1 2
2 2 0
1 1 1
0 0 0
1 2 2
1 1 2
2 0 2
10 2
0 1 1
3 2 0
0 0 0
2 0 3
2 3 0
0 1 0
0 1 2
3 1 0
1 2 1
0 3 3
10 8
3 1 0
2 3 0
2 2 2
1 1 3
0 3 0
2 0 2
3 0 0
2 3 3
1 2 2
1 1 1
10 6
1 0 0
2 0 1
0 0 1
1 2 1
1 1 1
2 1 0
1 2 0
0 2 0
0 1 0
2 2 0
10 3
1 3 0
0 3 3
0 2 2
0 3 2
3 2 2
2 2 1
2 1 2
0 1 1
0 0 1
1 2 0
10 2
2 1 3
1 0 0
3 3 2
2 1 1
1 3 1
2 3 2
0 1 0
2 0 3
1 1 3
2 0 0
10 4
1 0 3
3 3 0
0 3 1
1 0 0
2 1 3
0 0 1
1 1 2
2 1 0
1 2 0
0 2 2
10 4
2 2 3
1 3 2
3 3 2
0 0 2
1 2 3
3 2 2
3 3 1
1 0 1
1 0 0
0 2 0
10 6
2 3 2
3 0 0
2 2 3
3 2 3
1 0 3
3 1 1
1 1 1
3 3 0
2 2 0
0 0 0
10 5
0 1 2
0 2 0
2 2 1
2 2 2
0 1 1
1 2 0
1 0 0
2 0 1
2 0 2
2 1 0
10 5
0 1 1
1 1 2
2 0 0
1 1 1
2 2 2
2 2 1
1 0 2
0 0 1
2 0 1
2 1 0
10 6
1 1 0
0 1 2
1 2 2
2 1 2
0 1 0
2 1 1
2 2 2
2 0 2
1 2 0
2 1 0
10 8
3 0 0
1 2 0
2 0 2
3 1 1
3 1 3
1 0 2
3 0 1
2 0 0
2 1 3
2 2 0
10 5
2 1 1
3 3 1
0 0 0
1 2 2
1 0 2
3 1 3
3 0 2
1 3 3
2 3 1
2 3 0
10 8
0 2 0
2 1 2
2 2 2
1 0 1
2 0 0
2 0 2
0 0 0
1 1 0
0 1 1
0 1 2
10 3
2 0 1
1 0 1
2 2 1
2 0 2
1 0 2
1 1 1
1 1 2
1 1 0
1 2 1
0 2 1
10 3
0 2 2
1 1 1
0 0 2
2 2 0
1 2 1
0 1 2
2 0 0
2 1 2
2 0 2
2 1 0
10 2
0 1 0
3 2 1
0 2 2
1 1 1
0 0 0
3 2 2
1 0 0
3 2 3
3 3 2
2 1 2
10 6
1 3 1
0 3 2
3 2 2
2 0 1
1 3 2
2 3 1
0 3 0
0 2 2
3 2 3
1 2 3
10 4
3 0 0
1 2 2
3 0 1
1 1 3
3 1 1
3 3 3
2 3 0
1 3 2
2 1 2
2 3 3
10 2
1 1 3
1 3 3
3 0 3
3 2 1
0 3 0
2 3 3
1 1 1
3 0 0
3 0 2
0 2 0
10 5
0 1 2
0 2 0
0 2 1
2 2 0
2 2 1
2 2 2
1 2 2
2 1 2
2 0 0
1 2 1
10 8
1 2 0
1 1 2
1 0 0
2 2 1
2 2 2
1 2 2
1 0 1
0 1 1
0 1 2
2 0 1
10 4
2 1 2
0 1 2
0 1 1
1 2 2
1 1 0
1 0 1
0 2 1
2 2 0
0 2 2
2 0 0
10 8
1 2 2
2 1 1
2 3 2
1 2 1
0 0 2
3 1 1
3 2 2
1 2 0
2 2 3
0 1 0
10 2
1 2 2
1 1 0
1 0 1
2 1 2
0 1 1
2 1 1
2 1 0
0 0 0
0 2 0
1 0 0
10 5
0 1 0
2 2 0
2 0 0
0 2 0
0 0 1
2 1 2
0 1 1
2 0 2
0 2 1
1 1 0
10 6
1 3 0
3 3 0
1 3 1
3 3 3
1 2 1
2 2 0
3 2 3
0 1 3
2 2 1
0 3 2
10 8
2 1 0
0 1 0
0 1 1
2 1 1
1 2 2
1 0 1
1 1 2
2 1 2
2 0 2
1 0 2
10 2
2 1 0
0 0 2
2 1 2
0 1 2
2 2 1
0 1 0
1 0 0
0 0 1
1 1 0
2 0 0
10 5
1 0 2
1 1 2
2 0 1
0 1 1
2 0 0
0 2 1
0 0 2
2 2 1
1 2 2
2 1 2
10 4
0 1 1
0 0 1
1 1 0
1 2 0
0 2 1
2 2 1
1 1 2
0 2 2
0 0 0
1 2 2
10 7
1 2 3
1 2 0
2 3 1
3 1 0
0 1 2
0 3 0
0 1 0
3 2 0
3 1 2
1 3 3
10 3
0 2 1
2 1 2
0 2 0
2 1 1
0 1 2
0 1 1
2 0 0
0 0 2
1 2 0
0 2 2
10 6
1 1 0
2 1 0
1 0 0
1 2 1
2 2 1
2 1 2
0 1 0
2 2 0
0 2 0
2 2 2
10 9
2 1 2
2 2 2
2 0 0
2 1 1
0 1 1
2 2 0
0 1 0
0 0 2
1 1 0
0 0 0
10 5
3 2 2
1 1 1
1 2 0
1 0 1
2 1 1
3 0 1
3 3 2
1 1 2
0 3 2
0 1 1
10 5
1 0 2
0 1 0
1 1 0
0 0 0
0 0 1
0 1 1
0 1 2
2 0 1
1 1 2
0 0 2
10 3
0 0 0
1 2 1
2 0 2
0 1 1
0 2 0
1 2 0
2 1 0
1 0 1
2 1 2
2 0 0
10 8
0 2 1
1 1 2
0 1 2
2 2 1
2 0 1
2 0 2
1 1 0
0 2 0
2 0 0
1 2 2
10 7
1 0 1
1 2 3
2 3 0
2 1 0
2 0 2
0 2 2
1 2 0
1 3 3
3 3 3
3 0 1
10 6
1 0 2
2 0 1
1 2 1
2 2 1
2 2 2
2 0 2
1 1 0
1 0 1
0 1 1
2 1 2
10 8
3 1 2
3 3 3
2 0 3
2 3 3
0 0 2
1 0 3
2 3 0
1 2 1
3 0 1
1 1 2
10 7
2 1 2
2 0 3
0 2 1
2 1 3
2 2 0
1 0 3
2 0 2
0 1 2
3 0 3
2 1 1
10 6
2 2 2
1 0 0
1 1 1
1 0 2
0 2 1
0 1 1
2 0 1
0 2 0
2 0 0
1 2 2
10 4
3 0 1
2 0 1
3 3 3
3 0 3
0 2 1
0 1 1
3 1 1
1 0 3
2 1 2
2 1 1
10 5
2 2 0
0 1 1
1 1 0
2 0 2
1 2 0
2 2 2
1 1 2
1 0 0
0 2 1
0 2 2
10 7
2 2 1
2 0 0
2 1 0
1 2 2
0 0 1
0 2 1
1 0 0
0 2 2
2 2 0
1 2 0
10 5
0 0 3
1 3 2
0 3 2
3 3 0
1 1 3
0 0 0
1 1 2
0 0 1
0 0 2
0 2 2
10 4
2 1 1
1 1 2
0 3 3
2 3 2
1 0 2
2 1 2
2 0 2
0 2 2
2 2 3
3 2 2
10 3
3 3 0
1 2 2
1 3 1
0 2 1
3 1 2
1 0 0
0 3 2
2 0 1
0 3 3
1 0 2
10 9
1 0 3
3 2 2
1 0 0
1 1 1
1 0 2
0 1 3
1 1 2
1 3 0
1 2 2
1 1 0
10 3
0 2 1
2 3 0
2 3 1
3 1 0
3 2 2
2 0 3
1 0 1
0 1 0
2 2 0
0 3 3
10 2
2 2 1
0 0 1
2 0 0
0 1 2
2 2 0
2 1 2
1 2 1
2 1 0
1 2 2
1 0 0
10 4
2 2 1
1 3 0
3 2 1
3 1 2
0 0 3
1 3 3
2 2 2
1 2 0
0 3 1
2 1 2
10 6
0 1 1
0 1 0
0 2 1
2 0 1
1 1 2
2 2 0
2 2 1
2 0 0
2 1 0
0 2 2
10 7
2 2 1
1 2 1
2 2 0
0 2 1
2 0 0
0 0 0
1 0 2
1 1 0
0 2 2
0 2 0
10 3
1 3 3
2 1 1
2 1 0
2 0 2
2 1 3
0 2 3
2 0 0
1 1 3
1 1 1
0 1 2
10 2
0 0 0
1 3 2
3 1 1
2 0 2
3 1 0
2 0 3
1 1 3
1 2 0
0 1 0
2 3 3
10 2
1 0 2
0 1 1
2 2 1
1 0 1
0 2 2
1 2 0
1 2 1
2 2 0
0 2 1
0 1 0
10 6
1 2 1
3 1 3
2 3 0
2 3 1
1 0 3
0 0 2
3 2 3
0 3 1
3 2 2
1 2 2
10 5
2 0 2
0 1 0
1 1 1
0 0 1
2 1 1
1 0 1
2 2 2
1 2 2
0 1 2
0 1 1
10 5
1 0 0
0 1 2
1 1 1
1 2 1
2 1 0
0 1 0
0 2 2
2 0 1
0 2 0
2 0 2
10 4
2 0 0
2 0 2
1 2 1
0 2 0
2 0 1
2 2 1
0 1 1
1 1 0
2 2 2
1 2 2
10 3
0 2 2
0 1 2
2 0 2
0 0 1
2 1 1
1 0 2
0 1 0
1 1 0
2 1 2
0 2 1
10 6
0 0 0
1 0 0
2 0 2
1 1 0
0 0 1
2 1 2
2 2 1
1 1 1
0 1 0
0 1 2
10 6
0 0 1
0 2 0
2 0 1
2 1 1
0 0 2
1 1 0
1 2 2
2 2 2
1 0 2
1 2 1
10 7
0 2 1
2 0 3
3 0 2
2 3 0
3 1 0
0 0 1
2 1 3
0 3 3
1 1 2
2 3 1
10 3
1 1 1
1 2 1
2 0 0
2 0 1
1 0 1
0 2 0
0 0 2
1 1 2
2 1 0
1 1 0
10 4
2 1 3
1 1 3
3 1 2
0 3 0
2 3 2
0 1 1
2 2 1
2 0 0
3 3 2
1 2 0
10 3
1 0 0
1 2 1
2 0 2
2 0 1
2 2 2
1 2 2
0 1 1
0 2 2
2 2 0
1 2 0
10 2
2 3 2
1 2 1
3 1 3
3 2 3
3 3 1
0 3 0
0 1 3
2 3 1
1 2 2
2 2 2
10 4
1 0 2
0 2 1
3 2 1
0 2 0
0 3 3
1 0 0
0 0 2
1 1 2
1 3 0
3 0 0
10 7
2 2 0
2 2 2
0 2 2
1 0 2
2 2 1
1 0 0
2 0 1
0 1 2
0 0 2
0 0 1
10 3
3 3 0
2 3 1
0 3 2
2 0 3
3 1 3
0 2 1
2 2 1
0 2 2
0 0 0
3 2 2
10 2
0 2 1
0 3 1
3 2 3
3 3 0
2 1 3
0 0 2
2 1 0
2 0 2
2 3 0
0 1 0
10 2
0 0 0
0 0 1
0 1 0
0 2 1
2 0 2
1 0 1
1 1 0
2 1 2
2 1 1
0 1 2
10 6
1 0 2
2 2 0
1 0 1
0 2 0
1 0 0
0 0 1
1 2 0
0 1 2
2 0 1
0 0 0
10 3
2 2 3
0 2 3
1 1 3
1 1 0
2 0 1
0 2 2
3 2 3
1 0 1
2 1 2
1 1 2
10 5
0 2 1
2 2 2
1 0 0
1 1 0
1 1 2
1 2 0
2 0 0
0 0 2
0 1 0
1 0 2
10 8
0 1 1
1 1 2
2 2 0
2 2 2
2 0 1
0 2 1
2 1 2
1 1 1
2 1 0
0 2 0
10 2
1 2 1
2 1 0
1 1 0
0 2 2
1 0 1
0 0 0
2 2 1
0 0 1
2 1 2
2 2 0
10 5
2 0 1
2 2 0
2 0 2
1 2 1
1 1 2
2 0 0
1 1 0
1 0 0
0 1 2
0 2 2
10 5
3 3 2
0 1 0
3 3 1
1 0 0
2 1 2
0 2 0
2 2 1
2 0 0
0 3 2
0 0 2
10 8
1 2 0
2 0 2
2 1 2
0 1 2
1 2 1
0 0 0
0 0 1
0 0 2
1 0 0
0 2 0
10 8
1 2 3
1 1 0
3 0 2
0 2 1
2 3 2
1 3 2
0 3 1
0 0 2
2 0 0
1 1 2
10 4
2 2 1
0 0 1
1 1 2
0 0 0
1 2 2
1 0 0
1 2 0
2 2 0
0 1 1
0 2 1
10 8
3 0 0
2 0 2
2 3 0
0 1 0
2 0 0
3 2 0
2 0 1
0 0 0
3 0 2
3 2 1
10 9
0 0 0
1 2 0
0 2 0
0 2 1
1 0 2
0 1 0
1 2 2
1 2 1
2 1 2
0 1 1
10 8
0 1 0
2 1 2
0 0 2
0 2 2
0 2 0
2 0 1
1 0 1
1 0 2
0 0 0
1 2 2
10 4
2 1 1
0 3 3
0 2 1
0 3 1
2 1 3
0 0 2
2 2 1
0 2 2
2 3 3
1 3 1
10 4
0 1 0
1 0 0
3 3 0
2 1 1
0 2 2
0 3 2
3 1 1
2 2 0
2 2 2
3 1 0
10 7
2 1 1
1 1 2
1 0 2
0 1 0
2 2 0
0 2 0
1 1 0
1 2 0
2 1 0
2 0 2
10 7
1 0 0
1 0 2
2 2 1
2 3 1
1 2 3
3 1 3
1 3 1
0 2 1
0 2 3
3 0 3
10 3
0 2 2
1 0 0
0 1 2
0 2 0
2 0 0
2 2 1
2 2 0
0 1 1
2 1 1
0 0 2
10 6
2 1 2
0 2 2
0 0 1
2 1 1
0 1 0
2 2 0
2 2 2
2 0 1
1 1 2
0 1 2
10 2
2 2 1
1 1 3
0 0 2
2 0 1
1 0 1
1 3 2
2 2 0
3 2 1
0 3 1
2 3 3
10 2
1 2 0
0 2 1
1 0 0
3 1 3
1 3 3
2 0 1
2 2 1
1 3 1
2 0 2
0 0 0
10 8
1 1 1
0 2 1
1 3 1
2 2 0
1 1 2
3 0 0
1 3 2
3 3 0
2 1 2
0 0 2
10 9
0 0 0
1 0 0
2 2 0
1 1 0
1 2 1
0 1 2
0 1 1
0 1 0
2 0 2
2 0 1
10 2
0 2 2
3 3 2
3 0 0
1 0 0
1 1 0
3 1 2
2 2 2
3 3 3
2 0 0
1 2 0
10 7
2 1 0
0 0 0
1 1 2
2 2 0
1 2 1
1 1 0
0 1 0
0 1 1
2 1 1
0 0 1
10 3
3 3 2
2 1 2
2 0 3
1 3 3
0 1 1
3 3 0
1 0 0
0 0 2
3 1 2
1 3 2
10 5
0 1 0
2 0 2
0 0 2
0 1 2
0 2 2
2 1 0
0 2 1
1 1 1
0 0 0
1 2 0
10 9
1 3 0
3 0 3
3 1 1
1 1 2
0 1 2
0 3 1
2 2 2
1 2 2
3 1 2
0 1 1
10 4
0 1 2
2 3 1
3 2 2
0 0 3
1 0 3
2 0 0
0 2 0
0 3 3
0 0 2
1 1 1
10 7
1 0 3
2 3 0
0 0 2
1 3 0
1 1 3
3 3 1
0 1 2
1 1 2
2 2 0
2 1 2
10 8
2 1 2
3 1 3
0 2 3
2 3 1
0 2 0
1 0 3
1 1 3
2 2 1
1 2 1
1 3 2
10 7
2 0 2
3 2 1
0 3 1
1 0 2
3 1 0
0 1 2
3 1 2
2 1 2
1 1 0
1 2 0
10 9
2 2 0
0 0 1
0 0 2
0 1 1
0 2 2
2 0 0
1 0 2
1 0 1
0 0 0
2 1 1
10 7
1 1 0
1 2 3
2 3 1
0 0 2
2 1 1
0 0 0
2 0 3
1 3 0
2 3 0
0 1 0
10 5
3 3 3
3 1 1
3 1 2
0 0 1
1 3 3
0 1 2
1 0 0
0 1 1
2 1 3
1 3 0
10 2
0 3 1
2 1 2
2 0 0
0 3 2
3 1 0
2 3 2
1 3 2
1 2 2
2 2 3
2 3 0
10 4
0 2 0
0 0 0
2 2 2
1 2 1
1 1 2
2 2 1
0 1 2
0 1 1
1 1 0
2 0 0
10 5
3 2 2
1 2 0
0 0 3
1 1 2
1 3 3
0 0 2
1 2 3
1 0 2
2 1 3
3 0 3
10 6
2 0 2
2 2 2
0 1 0
1 1 1
1 2 0
1 0 0
1 2 1
0 2 1
0 1 2
1 2 2
10 2
1 0 2
2 2 0
0 2 1
0 2 2
1 1 2
2 0 1
2 1 2
1 1 1
2 1 1
1 2 2
10 9
1 2 0
0 2 2
0 1 1
2 0 0
0 1 2
2 1 0
0 2 0
0 2 1
1 0 1
1 0 2
10 8
1 1 2
1 0 2
1 2 1
1 1 0
2 1 2
1 0 0
2 0 2
2 2 1
1 2 2
2 1 0
10 5
0 1 0
0 0 1
3 2 2
3 0 0
3 2 0
2 1 2
0 0 3
3 1 3
1 1 2
0 2 1
10 8
3 2 3
2 0 1
2 2 2
3 2 2
1 3 1
0 1 3
3 2 1
1 2 1
0 3 0
2 1 3
10 3
0 3 0
0 2 0
1 3 3
0 3 2
0 1 0
3 3 3
0 2 1
3 1 0
3 0 2
3 1 1
10 8
0 0 1
2 0 0
2 1 1
0 2 2
2 0 1
1 2 2
2 2 0
1 0 1
1 2 0
1 1 2
10 6
0 0 2
1 2 0
0 0 1
1 2 1
2 0 0
1 1 1
2 2 0
0 1 0
0 0 0
0 2 2
10 2
1 1 1
1 2 0
0 0 2
2 0 2
0 0 1
1 2 1
0 0 0
1 0 2
1 0 0
2 2 1
10 3
0 1 0
1 1 0
2 2 2
0 2 0
2 1 0
2 1 2
1 2 0
1 1 2
0 1 1
2 2 1
10 3
3 3 1
2 1 3
1 2 2
1 1 2
1 0 0
0 3 2
1 1 3
1 0 2
1 3 2
2 0 1
10 4
1 2 1
1 0 2
1 1 2
2 0 0
1 1 1
2 1 1
2 3 1
1 0 1
0 3 2
1 2 3
10 5
1 2 1
0 3 2
0 3 3
2 2 3
1 1 0
0 3 1
2 1 2
3 0 0
3 1 2
3 1 3
10 4
1 1 0
0 0 0
1 1 2
2 0 1
2 2 0
2 2 1
0 0 1
0 1 2
1 2 2
0 1 1
10 9
3 0 2
1 2 2
1 3 0
3 3 2
2 1 2
0 0 1
2 3 2
3 0 1
0 2 3
3 3 0
10 2
1 3 1
1 2 3
0 1 2
0 3 0
0 0 2
2 1 1
2 3 0
2 3 3
3 2 3
2 2 3
10 9
0 2 1
3 1 1
2 2 0
2 0 1
0 0 0
1 3 2
2 1 2
1 0 0
0 0 2
3 0 0
10 8
3 3 1
2 1 2
3 0 0
3 3 2
1 2 1
1 0 1
3 2 2
3 1 0
2 0 1
0 3 3
10 4
0 1 0
2 0 0
1 1 1
2 2 1
1 1 2
2 2 0
1 2 0
2 0 2
0 0 2
0 1 1
10 2
1 0 2
0 2 0
1 1 3
1 2 0
0 1 1
3 2 2
0 2 2
2 3 0
0 3 0
2 1 1
10 9
1 0 1
2 0 0
1 3 0
1 2 3
3 3 0
2 1 3
2 3 3
3 0 3
2 3 0
2 2 0
10 9
1 2 1
1 2 0
0 2 2
0 0 1
0 1 1
2 0 2
2 2 1
0 2 1
1 0 0
1 1 0
10 6
1 0 0
2 2 1
1 2 0
0 1 0
1 1 1
0 2 1
0 1 1
1 0 2
0 2 0
1 1 0
10 4
3 1 2
1 3 1
1 0 0
0 0 0
3 2 2
2 1 1
2 3 2
2 1 2
1 2 2
3 2 1
10 3
0 2 1
2 1 1
2 2 1
1 2 2
1 2 1
1 0 2
0 2 0
0 2 2
2 2 2
1 1 0
10 7
2 0 1
0 2 2
0 2 0
0 1 0
0 1 1
1 0 2
2 2 2
2 0 2
1 0 0
2 1 1
10 7
0 0 2
2 2 0
1 1 2
1 1 0
2 0 1
2 0 0
0 2 2
0 0 0
2 0 2
2 1 0
10 7
0 2 1
2 0 0
1 1 1
1 1 0
1 2 1
2 0 2
2 1 1
1 0 1
0 0 0
1 2 2
10 3
3 3 3
0 2 1
1 3 2
2 3 3
3 0 1
2 1 0
2 3 1
1 1 0
3 1 1
0 0 2
10 9
2 2 2
3 2 1
0 2 1
3 3 2
1 0 1
1 3 3
1 1 0
0 1 0
0 2 2
1 1 2
10 2
2 1 2
1 0 1
0 0 2
0 0 0
2 1 1
2 2 2
1 1 2
2 0 2
1 1 1
2 0 1
10 5
1 3 2
1 1 1
3 2 0
2 0 3
3 3 0
0 2 3
1 2 3
3 3 1
1 1 0
1 0 3
10 8
0 2 1
0 1 1
2 1 2
1 0 1
1 2 2
0 0 2
2 1 0
1 0 0
1 2 1
1 1 2
10 2
3 3 3
3 1 3
0 3 1
1 2 1
2 2 3
0 2 0
0 0 2
0 0 3
2 3 1
2 0 2
10 3
0 2 2
0 0 2
1 2 0
1 0 2
0 2 0
1 0 1
0 0 0
2 1 0
0 1 2
2 1 1
10 4
1 2 2
1 1 2
0 2 1
2 2 1
2 1 1
2 2 0
1 1 1
0 2 0
1 1 0
1 0 0
10 8
1 1 2
2 1 1
2 1 0
1 0 1
1 2 2
2 0 2
0 2 1
1 2 0
0 0 2
1 2 1
10 8
1 0 0
1 2 0
3 0 2
2 1 3
0 1 3
1 0 1
0 3 2
1 3 3
0 1 0
3 1 3
10 2
1 3 3
3 1 0
1 1 2
0 3 1
1 0 1
3 3 2
2 1 0
2 2 2
0 3 0
1 2 1
10 7
2 2 2
0 2 1
2 0 1
0 2 2
2 2 1
1 0 0
0 0 1
2 0 2
2 1 1
2 1 0
10 9
1 1 1
0 2 1
3 0 3
0 3 3
3 3 3
0 3 2
1 2 2
3 0 1
0 2 2
0 0 2
10 3
0 0 2
2 3 1
3 0 1
1 0 2
3 1 3
0 1 1
1 0 3
1 1 0
2 1 0
2 1 1
10 8
1 0 2
2 1 2
0 2 0
0 1 0
1 1 0
1 0 1
0 2 2
2 1 1
0 2 1
1 1 2
10 9
3 2 2
3 1 1
3 0 3
0 3 1
2 0 1
3 1 0
3 2 0
1 2 3
2 3 1
3 1 3
10 7
3 1 2
3 3 3
1 0 0
3 1 3
1 3 2
2 1 3
1 2 3
0 0 2
3 2 1
2 0 0
10 8
0 2 2
2 1 0
2 2 1
1 2 2
0 0 1
0 0 2
0 1 2
0 1 0
1 1 0
2 0 2
10 3
0 2 2
3 1 3
3 2 1
3 3 1
2 2 3
0 1 1
0 0 2
0 1 2
3 0 0
0 2 0
10 4
1 2 0
0 0 1
2 1 3
0 1 0
3 0 0
1 0 0
1 3 2
3 2 1
0 2 0
1 3 1
10 8
0 2 1
3 2 0
0 0 1
0 0 0
1 1 1
2 0 1
3 3 0
1 1 2
3 0 2
2 0 0
10 5
2 1 3
2 3 3
3 3 2
2 0 2
0 0 0
3 0 3
1 2 2
1 2 0
1 0 0
3 2 0
10 5
0 1 0
0 1 1
1 0 2
2 0 2
1 1 0
0 2 0
2 1 0
0 2 2
1 2 0
2 2 1
10 5
2 3 1
3 2 3
3 3 3
1 0 3
0 1 1
1 2 3
3 0 3
2 0 0
1 2 0
0 0 3
10 7
1 0 2
3 0 1
2 0 2
2 2 1
0 2 3
1 2 2
2 2 2
2 1 3
3 2 0
1 3 1
10 7
2 1 1
2 0 0
2 2 2
2 2 1
0 1 2
0 1 1
0 0 0
1 2 0
2 1 0
0 1 0
10 5
1 0 1
0 0 0
2 0 0
1 0 0
2 1 1
1 0 2
2 0 2
1 2 1
0 1 0
2 1 2
10 6
3 1 0
0 3 0
2 0 2
1 0 0
3 1 1
3 0 2
2 1 1
1 3 3
0 3 2
3 3 1
10 6
3 0 0
2 2 2
2 0 1
3 0 1
2 2 1
1 0 1
0 3 3
2 3 1
2 0 0
0 2 0
10 4
1 0 2
1 1 1
2 2 2
0 1 1
0 2 2
2 0 2
1 0 1
1 2 1
1 1 2
1 2 2
10 9
1 1 2
2 2 2
0 1 1
2 0 1
2 2 1
0 0 2
1 2 2
2 1 2
1 1 1
2 1 1
10 8
1 0 0
2 0 1
1 0 1
0 1 3
3 3 0
3 1 1
1 2 2
3 3 2
1 3 0
2 0 0
10 7
2 0 1
2 2 1
1 0 3
2 2 0
2 3 1
1 0 0
2 2 3
3 2 3
0 1 3
3 1 3
10 7
2 0 1
3 0 3
2 3 2
1 2 2
2 1 0
3 1 1
2 2 2
2 3 3
0 0 0
1 0 2
10 8
0 0 0
2 2 0
2 3 3
3 0 2
0 2 0
3 0 0
0 2 3
1 0 1
0 2 2
3 2 2
10 3
0 0 2
1 0 1
2 1 2
2 0 0
2 2 1
1 1 2
1 0 2
1 2 1
0 2 1
2 1 1
10 2
1 1 2
2 3 0
0 1 3
2 3 2
1 3 0
2 1 3
2 3 1
0 2 3
1 0 0
1 2 2
10 7
3 2 0
3 0 0
0 0 2
1 3 0
1 1 0
0 3 3
1 0 3
2 2 1
3 1 3
2 1 1
10 7
0 0 3
1 2 0
0 3 3
2 2 0
3 0 3
0 0 1
2 2 2
1 1 3
3 0 2
0 1 2
10 3
1 0 0
2 0 2
0 0 0
1 1 1
0 2 1
2 2 2
2 0 1
1 0 1
2 1 1
2 2 0
10 7
1 0 1
0 1 2
0 2 0
2 0 2
2 2 1
2 2 0
0 1 1
0 1 0
0 0 0
1 2 0
10 2
2 3 0
3 0 0
2 2 3
1 0 2
1 2 0
0 1 1
2 3 3
2 1 0
1 1 0
0 2 2
10 4
1 0 0
0 0 1
1 0 1
0 0 2
1 2 2
1 1 0
0 1 1
2 1 2
1 2 1
2 0 2
10 2
0 0 0
1 2 2
2 2 2
3 1 1
1 1 2
1 2 0
1 0 2
0 0 2
0 1 1
2 3 0
10 8
2 0 0
0 2 0
0 0 0
1 0 0
0 0 2
1 0 2
0 1 0
1 2 0
0 0 1
0 2 1
10 9
1 3 1
2 2 3
0 3 0
1 1 0
2 0 1
1 3 2
2 3 3
0 1 0
2 0 3
1 1 2
10 9
1 2 1
0 2 2
2 1 1
1 0 0
3 0 1
1 2 0
1 0 2
3 1 3
1 0 3
1 2 2
10 8
2 2 1
1 0 1
2 0 0
2 1 0
0 1 2
1 2 2
1 1 2
1 1 0
0 2 2
0 2 0
10 7
2 0 1
0 0 2
0 1 2
1 1 1
1 1 0
0 2 2
2 1 2
1 0 2
0 1 0
1 1 2
10 9
1 2 2
2 0 0
0 1 2
2 2 1
2 1 1
0 2 2
1 1 2
2 1 2
0 0 2
0 1 1
10 6
3 3 2
0 3 0
3 0 2
0 2 1
2 2 1
1 1 1
1 0 2
0 0 3
1 2 0
2 3 3
10 9
1 2 3
3 2 2
0 0 0
3 2 0
3 0 1
2 0 1
1 0 0
0 3 0
1 2 1
3 0 2
10 4
3 1 2
2 2 2
3 0 1
1 2 0
3 0 2
1 1 2
2 0 2
2 3 2
2 1 0
2 1 3
10 3
0 2 2
1 2 1
0 1 2
1 1 0
0 0 1
2 2 0
0 2 1
1 0 1
2 0 2
1 1 2
10 7
3 2 1
2 3 2
3 1 1
1 1 1
2 0 2
0 0 3
2 0 3
0 2 1
3 0 2
3 3 3
10 9
0 1 2
1 1 1
2 0 2
0 2 2
0 2 0
1 0 1
0 1 0
2 2 0
2 0 0
1 1 2
10 5
3 2 0
2 3 0
1 2 1
0 2 1
0 0 1
1 3 1
3 2 3
3 3 3
2 0 2
3 2 2
10 7
2 0 1
0 1 0
1 0 2
2 1 0
1 0 0
0 0 0
2 0 0
0 2 0
1 1 1
1 1 2
10 7
1 0 2
3 3 3
3 0 0
3 1 2
3 1 1
3 3 1
0 0 0
3 2 2
2 1 2
1 2 2
10 6
3 1 3
3 2 0
3 3 0
2 3 3
1 2 3
3 3 1
3 0 0
0 1 3
2 3 0
3 3 3
10 7
3 1 2
2 2 2
1 1 0
0 1 0
3 0 1
3 3 2
1 0 1
3 0 0
2 2 3
2 0 2
10 9
2 2 0
2 1 1
0 0 1
1 1 0
1 1 1
0 1 2
1 2 2
1 2 0
0 2 2
1 0 1
10 4
3 0 0
2 2 2
3 3 3
1 0 2
1 1 2
2 3 2
3 0 1
2 2 0
2 0 3
0 1 3
10 9
2 1 1
3 1 1
1 0 2
3 3 1
0 1 0
3 1 2
3 3 3
1 2 3
0 1 1
3 3 2
10 8
2 0 3
1 1 1
2 2 2
2 2 3
1 3 3
0 3 2
1 3 0
3 3 1
0 3 0
2 1 0
10 9
0 2 2
2 0 0
2 1 0
2 2 1
0 1 1
0 2 0
1 1 2
1 0 2
0 1 2
0 2 1
10 5
1 0 0
2 3 1
2 2 3
3 1 1
2 0 0
3 2 2
3 1 0
0 0 2
3 0 0
1 2 1
10 2
1 1 0
0 1 1
0 2 1
0 2 0
1 0 2
2 1 1
1 2 2
2 2 1
1 2 1
0 0 0
10 3
0 1 1
1 2 2
0 2 1
0 0 2
2 2 0
2 2 1
2 1 1
0 0 1
0 1 2
1 0 0
10 3
2 1 0
1 0 2
0 0 1
2 2 3
3 2 2
2 1 3
0 0 3
0 2 3
2 2 2
2 0 1
10 9
0 0 0
0 2 2
2 0 1
1 1 2
2 0 0
1 1 0
1 0 2
1 0 0
2 1 0
2 2 0
10 8
0 1 0
0 1 1
1 2 0
0 2 2
0 1 2
2 2 0
2 0 2
1 1 1
1 2 2
1 0 0
10 8
2 0 2
2 2 2
1 0 0
1 2 1
1 2 0
2 1 1
2 0 0
1 1 0
1 1 2
1 0 1
10 3
0 1 1
3 2 3
3 3 1
2 2 0
0 2 2
0 2 3
0 0 1
2 1 1
0 0 0
1 2 1
10 9
0 3 0
3 1 0
1 1 2
0 1 1
2 0 3
0 0 2
0 3 3
0 0 1
2 2 1
0 0 3
10 8
1 2 1
0 2 0
2 2 0
1 0 1
0 0 0
1 0 2
2 1 1
0 2 1
2 0 0
0 1 1
10 3
1 0 2
0 2 1
2 0 2
1 0 0
2 1 1
1 1 1
2 2 1
0 1 0
0 0 0
1 1 2
10 9
1 2 0
0 3 2
0 1 3
0 0 2
1 0 2
1 3 2
2 3 1
2 1 2
0 3 3
0 1 0
10 3
3 2 3
0 3 0
0 0 3
0 1 0
0 2 2
1 3 1
2 0 2
2 1 2
2 3 0
1 0 0
10 4
1 0 1
2 0 1
2 1 1
0 0 0
1 0 0
0 1 0
1 2 1
1 1 0
0 2 1
1 2 2
10 7
2 1 1
1 2 0
1 0 2
2 1 3
0 3 3
3 2 0
2 2 2
2 0 1
2 2 0
2 2 1
10 9
1 2 1
1 2 3
3 3 3
0 2 0
1 3 3
3 2 1
2 0 1
0 3 2
3 2 0
0 1 3
10 4
2 1 3
2 0 1
3 1 2
2 0 0
3 2 0
0 2 0
1 0 1
1 2 1
3 0 3
0 0 3
10 3
0 3 2
0 2 2
1 1 1
0 2 3
0 3 0
2 0 2
3 2 0
3 0 2
3 1 2
3 2 3
10 2
3 2 0
2 3 1
3 0 3
2 2 1
1 3 0
3 1 0
1 2 0
3 2 1
2 3 3
2 2 3
10 2
1 0 1
0 0 1
2 1 0
2 3 2
2 3 3
0 1 2
0 3 2
3 0 0
2 3 0
3 2 0
10 7
2 2 2
3 2 2
2 3 3
0 1 1
2 1 1
0 2 0
1 2 3
2 0 2
2 2 1
1 3 2
10 3
0 1 2
1 2 1
2 1 2
2 0 0
2 2 1
2 0 1
1 1 2
0 0 2
0 1 1
2 1 0
10 3
0 3 2
3 2 2
3 2 3
3 1 2
3 0 1
1 1 1
3 1 1
1 2 1
3 0 3
0 2 3
10 4
0 2 0
2 0 1
1 1 1
1 1 0
2 0 0
0 0 1
1 1 2
1 0 1
1 2 0
2 2 0
10 9
2 2 2
1 0 1
2 1 0
3 1 2
3 3 0
2 3 2
1 2 2
1 0 3
1 1 1
1 3 3
10 8
1 1 0
2 3 3
3 2 2
0 0 0
1 1 3
0 3 0
1 3 0
3 1 0
1 2 3
0 0 3
10 8
2 3 0
2 1 2
0 1 3
2 2 1
0 2 3
3 2 0
0 1 1
0 2 1
2 1 3
3 2 1
10 9
1 1 2
1 2 0
2 2 0
2 1 1
2 0 0
2 2 1
2 2 2
0 0 0
0 0 2
2 1 2
10 4
1 0 0
1 1 1
2 2 1
1 1 0
1 2 1
2 0 1
1 2 2
0 0 0
0 2 2
1 2 0
10 3
1 3 0
1 3 2
1 1 3
2 3 0
0 2 1
1 3 3
0 0 2
3 0 2
0 1 0
0 3 3
10 3
2 1 1
1 2 1
0 2 1
0 1 2
1 2 0
2 2 0
1 1 1
0 1 1
0 0 2
1 0 2
10 8
3 2 2
0 0 0
3 2 1
1 2 0
3 3 3
2 0 3
2 1 3
2 1 1
1 1 3
2 2 1
10 4
1 1 1
0 0 1
2 2 2
1 2 0
0 1 2
2 0 0
1 0 0
1 2 1
2 1 0
1 0 2
10 7
1 0 0
0 1 2
2 1 1
0 2 0
2 0 1
2 2 2
0 1 1
1 2 2
1 2 1
1 0 1
10 2
1 1 1
1 0 1
0 2 3
2 1 3
0 0 3
2 0 3
1 0 2
2 0 0
3 3 1
1 3 3
10 2
1 1 2
1 1 0
0 3 3
2 3 1
1 2 0
2 0 3
3 1 2
3 1 3
2 1 0
0 0 3
10 4
1 0 2
2 1 2
1 1 0
2 1 0
1 0 1
2 2 0
0 2 0
2 2 2
2 0 2
1 2 0
10 2
3 2 2
1 1 2
0 2 2
0 0 2
2 3 1
1 1 1
2 1 0
1 3 1
0 2 1
2 1 3
10 5
2 1 1
1 1 1
1 2 0
0 0 1
1 2 2
1 1 2
0 1 1
2 2 1
2 2 2
1 1 0
10 9
2 0 0
2 2 2
0 0 0
1 0 1
2 1 2
0 1 2
1 2 1
1 1 0
1 2 2
2 0 2
10 3
1 1 1
0 2 1
1 0 2
0 1 2
0 0 1
2 2 1
2 0 0
1 2 0
0 0 2
1 1 0
10 8
0 0 1
1 2 0
2 1 1
1 1 2
1 1 1
0 0 0
0 0 2
2 1 0
1 0 0
1 2 2
10 9
1 2 0
2 1 1
1 0 2
0 2 2
0 0 1
0 2 1
1 2 1
0 2 0
2 0 1
0 1 1
10 2
2 3 3
0 3 3
1 1 2
3 1 1
0 1 1
0 0 0
0 2 1
1 3 0
2 2 3
0 3 0
10 3
0 1 2
2 0 0
1 0 2
2 2 1
2 2 0
2 1 2
1 1 1
1 2 2
2 2 2
0 2 1
10 4
1 1 0
1 2 1
2 0 1
2 2 2
2 1 2
0 1 2
0 0 0
0 1 1
0 0 2
1 0 0
10 7
3 0 1
0 0 0
3 2 2
2 2 1
0 3 2
0 2 2
0 3 1
2 2 0
1 3 1
2 0 3
10 5
2 0 0
0 2 0
1 1 2
0 0 1
1 1 0
1 0 0
0 1 2
1 2 1
1 0 1
2 0 2
10 5
1 3 3
3 0 2
3 2 2
0 0 0
3 1 3
0 2 2
3 3 0
2 0 1
0 0 2
1 1 2
10 9
1 3 0
1 2 0
2 0 0
0 3 0
2 2 2
0 2 2
3 3 3
3 1 2
0 0 0
1 1 3
10 9
1 2 1
2 2 1
0 2 1
0 1 0
1 2 0
2 2 2
2 1 2
0 2 0
1 1 0
1 1 1
10 5
0 0 2
1 3 0
1 2 1
3 2 1
3 0 0
0 0 0
3 1 1
2 0 3
2 1 1
3 2 2
10 9
2 1 1
0 3 0
3 1 3
0 1 1
3 3 0
2 2 3
2 3 2
2 2 1
1 0 2
2 1 3
10 4
0 0 1
2 2 1
1 2 1
3 1 2
1 3 2
2 1 2
2 2 0
0 1 1
1 2 2
0 3 3
10 2
1 2 0
2 0 2
0 0 0
2 0 1
1 1 2
1 1 0
1 0 1
2 0 0
1 0 2
0 1 1
10 6
2 0 0
1 1 1
0 0 1
0 2 0
2 2 0
0 2 2
1 1 0
1 0 1
1 0 0
1 0 2
10 9
0 3 3
3 1 1
0 3 2
0 2 2
3 3 3
3 3 0
0 0 0
3 1 3
0 2 0
2 2 0
10 3
1 0 1
2 0 0
0 1 0
2 2 2
0 1 2
0 0 1
1 1 2
1 0 0
1 2 1
2 1 2
10 2
3 2 0
2 0 2
0 2 0
3 3 3
2 0 0
2 2 3
3 0 3
1 2 1
1 3 3
3 1 2
10 9
0 0 0
0 0 1
1 2 0
1 0 1
2 0 1
0 1 2
2 0 2
2 1 1
1 1 2
1 0 2
10 6
0 1 2
1 1 1
1 1 0
0 2 0
1 1 2
0 1 1
1 2 0
1 0 0
2 1 1
2 1 2
10 4
2 2 1
0 0 3
1 0 3
0 3 3
1 3 1
2 1 0
3 0 1
3 0 2
0 3 1
1 1 2
10 4
1 3 2
3 1 1
0 1 0
0 3 2
0 1 2
0 0 3
3 0 3
3 0 1
3 2 3
2 2 2
10 3
1 1 1
1 1 0
2 0 1
1 0 2
1 2 1
2 1 2
0 0 2
0 0 0
2 2 0
1 0 1
10 6
2 0 3
2 0 0
0 3 1
3 0 1
0 2 2
2 0 2
1 0 1
1 1 1
2 1 1
3 2 3
10 9
0 1 0
2 2 2
3 0 1
0 2 2
0 1 1
1 3 2
2 0 0
0 3 3
1 1 0
2 1 1
10 8
0 2 1
0 2 0
2 1 0
2 0 1
2 1 3
2 3 1
2 2 0
1 3 2
1 0 0
3 0 0
10 7
3 3 1
1 3 2
3 1 2
3 0 1
2 0 1
2 3 2
3 0 0
0 0 1
3 3 0
1 0 2
10 5
1 3 1
3 0 0
1 3 3
3 3 2
2 0 3
1 3 0
3 0 2
0 3 0
1 2 0
0 1 2
10 5
2 2 0
1 2 1
1 0 1
1 1 0
0 1 0
0 2 2
0 0 0
1 2 2
2 2 1
0 1 1
10 9
1 0 3
1 3 3
1 1 2
3 0 0
0 2 1
1 0 2
2 3 1
1 1 3
1 3 0
1 2 3
10 3
1 1 2
1 3 0
0 0 1
2 0 3
0 0 3
0 3 1
3 2 1
3 1 0
2 3 3
2 1 0
10 4
2 2 1
3 0 0
2 2 3
1 3 2
1 2 2
1 1 2
0 3 1
0 1 0
1 3 0
1 2 1
10 9
2 2 2
2 0 0
0 1 0
1 2 1
1 2 0
1 0 0
2 1 2
0 1 2
0 2 2
2 2 1
10 3
2 3 3
1 2 3
0 1 0
1 3 2
1 0 1
2 0 0
1 1 1
3 3 3
3 0 2
0 2 3
10 3
1 1 2
2 3 1
0 0 3
2 0 1
1 2 2
0 3 0
3 2 1
0 2 3
0 1 1
0 2 1
10 2
1 2 0
2 0 1
0 0 2
0 0 3
2 1 0
0 1 2
1 1 3
0 2 2
2 1 1
3 1 1
10 3
1 0 1
1 1 1
2 1 1
2 0 1
2 2 2
2 0 0
0 1 1
0 2 0
0 0 2
1 2 0
10 6
1 3 1
0 3 0
0 3 2
2 3 2
3 0 2
1 3 0
3 1 3
1 1 3
0 0 2
0 2 1
10 6
3 0 1
0 2 0
1 1 0
2 2 0
2 0 0
2 1 3
1 2 2
0 3 0
1 0 2
1 3 0
10 8
1 0 0
1 1 1
0 0 0
1 0 2
0 2 1
1 2 2
1 0 1
0 1 1
2 2 0
0 2 0
10 6
2 0 0
1 0 1
2 2 0
0 0 0
1 0 0
0 2 0
0 0 1
2 1 0
0 1 2
1 1 0
10 8
2 1 1
2 0 0
1 1 1
1 0 1
1 0 0
1 1 0
2 1 0
0 2 0
2 2 0
0 0 0
10 4
0 0 0
0 2 0
1 0 0
0 0 2
2 2 1
0 1 1
1 1 0
2 2 0
1 2 0
1 2 1
10 3
1 0 1
0 0 2
0 2 2
0 2 0
2 2 2
2 1 0
1 0 0
1 1 0
1 2 2
2 2 1
10 8
1 2 2
2 2 0
1 1 1
1 2 1
1 0 0
2 1 0
0 2 2
2 1 2
0 1 2
0 0 2
10 3
0 0 1
2 0 0
2 2 0
1 1 1
0 1 1
1 2 0
1 1 2
2 0 2
2 1 0
1 1 0
10 6
3 2 3
2 3 2
1 2 3
2 1 0
1 2 1
2 0 2
2 2 3
1 3 2
1 1 2
1 2 0
10 9
1 2 2
2 1 2
2 0 0
0 1 1
2 0 1
2 0 2
0 1 0
1 0 0
1 1 1
1 0 2
10 7
0 3 2
0 1 0
3 2 3
0 2 1
1 0 0
2 1 0
2 0 3
2 2 0
0 2 2
0 0 2
10 7
2 2 3
3 2 2
3 2 1
0 2 1
2 2 0
3 1 3
0 3 0
0 1 3
1 3 0
3 0 0
10 2
1 0 2
2 0 1
0 0 1
2 2 2
0 1 0
2 1 1
0 0 0
0 2 0
1 0 1
1 2 1
10 9
1 0 2
1 0 0
2 0 0
2 0 2
2 1 1
0 1 0
2 2 1
1 1 0
0 2 0
0 0 2
10 9
0 1 0
2 2 2
2 1 1
1 2 2
0 0 0
1 0 0
1 1 0
0 2 2
2 0 0
0 1 2
10 4
0 0 1
2 2 0
2 2 1
1 0 0
0 0 2
2 1 1
2 1 2
0 2 2
1 0 2
1 0 1
10 2
3 2 1
1 3 2
1 3 1
1 3 3
2 0 3
0 1 0
3 1 0
2 2 1
0 1 3
1 0 1
10 3
2 3 2
3 0 3
3 0 1
1 0 2
3 3 1
1 0 1
0 1 3
2 2 2
3 2 3
2 1 2
10 9
0 2 0
0 1 1
0 0 0
1 0 1
1 2 0
2 1 0
1 2 1
1 2 2
2 0 0
0 0 1
10 6
3 3 2
2 1 0
3 2 2
0 1 0
0 2 3
1 1 3
1 1 2
2 1 1
3 1 0
3 2 0
10 7
1 1 2
1 2 1
0 2 1
2 1 0
0 0 1
2 2 0
0 2 0
0 1 1
0 1 0
1 1 1
10 5
1 0 2
0 0 1
0 2 2
0 1 1
2 1 2
0 1 2
0 2 1
0 2 0
0 0 2
2 2 2
10 3
0 0 3
2 0 0
2 0 3
1 3 0
1 0 3
0 1 1
0 2 0
3 1 2
3 2 3
2 1 1
10 7
2 0 1
0 1 2
1 1 1
2 2 0
1 2 0
0 2 0
2 1 2
1 0 0
0 0 2
0 1 1
10 5
0 0 0
2 0 3
3 0 2
3 3 3
2 2 1
1 2 3
2 3 1
2 3 3
0 1 2
1 0 2
10 4
2 2 0
1 0 0
1 1 1
1 1 0
1 2 0
2 1 1
0 2 2
2 2 1
2 0 2
1 2 1
10 6
2 0 2
0 1 0
2 2 0
0 1 1
1 2 2
0 0 1
1 0 2
2 2 1
2 0 0
1 1 2
10 4
0 2 1
0 1 2
0 0 1
1 0 2
1 2 1
2 1 2
0 2 0
1 0 0
2 0 2
0 1 1
10 8
0 2 2
2 0 1
1 3 3
1 1 2
3 1 3
3 2 0
1 3 1
0 2 0
2 1 0
2 3 3
10 8
1 2 0
1 2 1
1 0 1
0 0 0
2 1 1
0 2 1
2 1 2
2 2 1
0 0 2
1 1 1
10 2
1 0 2
2 0 2
1 1 2
1 1 0
2 1 2
2 1 1
1 2 2
1 1 1
0 2 2
0 2 1
10 2
2 0 0
2 0 1
0 0 0
1 2 2
2 2 1
2 1 0
1 0 1
2 2 0
1 0 0
1 2 0
10 6
0 1 1
0 0 1
1 2 0
1 1 0
3 0 1
3 2 1
2 0 3
0 2 3
2 3 3
2 3 0
10 9
2 0 0
0 2 2
0 1 2
1 1 2
0 1 1
1 1 0
1 2 0
1 2 1
0 1 0
2 0 1
10 2
2 3 1
3 3 2
2 2 1
1 3 3
0 1 0
0 1 1
2 3 2
3 3 0
1 2 1
0 0 0
10 2
1 0 0
0 0 2
0 0 0
1 1 0
2 0 2
1 2 2
2 2 2
0 1 1
0 0 1
1 0 1
10 4
2 0 1
1 2 0
2 1 2
0 2 1
1 1 0
2 0 2
1 2 2
2 2 2
2 2 1
0 1 2
10 6
3 3 1
1 1 2
1 3 2
3 2 0
2 3 1
2 1 3
2 1 0
1 1 0
0 0 3
3 3 0
10 7
2 0 3
3 2 3
0 3 3
3 1 1
1 3 3
0 0 2
2 2 2
2 3 1
1 2 1
1 1 2
10 3
1 3 2
1 2 1
3 3 1
0 0 1
0 2 3
1 1 2
0 2 1
2 2 0
2 0 0
3 2 3
10 3
0 0 0
0 0 2
1 2 2
2 1 1
1 2 0
0 0 1
1 2 1
2 0 0
1 1 0
2 0 2
10 7
2 0 0
2 2 0
0 1 2
0 1 0
2 0 1
1 1 1
0 2 1
2 2 1
2 1 0
1 1 2
10 2
1 0 0
1 0 2
0 0 2
1 1 1
2 0 0
2 1 0
1 1 0
1 0 1
0 2 1
2 2 0
10 9
2 1 0
1 1 0
1 2 0
2 0 2
2 1 2
1 0 2
1 0 1
2 2 2
0 0 0
0 1 0
10 2
0 0 3
1 0 0
3 3 3
0 3 1
2 0 2
3 2 2
2 3 0
3 2 3
2 0 0
2 3 2
10 5
3 0 2
0 0 3
3 3 3
1 1 3
1 3 2
0 3 2
2 1 3
2 2 2
3 3 2
1 0 0
10 8
2 1 1
0 1 2
2 0 1
0 0 0
0 2 1
1 0 1
1 1 1
0 1 1
2 0 0
0 0 1
10 7
2 0 1
2 1 1
1 1 0
1 0 0
0 0 0
3 3 3
1 2 1
2 0 2
0 2 0
3 0 2
10 7
1 0 3
2 1 1
3 0 2
3 3 3
0 0 2
1 2 2
2 2 3
0 0 0
1 2 0
3 2 1
10 8
2 0 2
3 3 2
2 0 1
2 3 3
2 2 2
0 0 2
0 3 3
2 2 3
1 2 3
1 3 3
10 3
1 1 2
1 2 0
0 2 1
2 0 2
1 0 2
2 1 2
0 0 1
2 1 0
2 0 0
1 2 1
10 8
2 2 0
1 1 2
1 2 3
2 3 1
1 1 1
0 1 0
1 1 0
0 1 2
2 0 3
3 3 2
10 5
3 3 1
1 2 1
0 1 1
3 0 3
3 0 1
1 1 3
1 0 3
3 1 2
3 3 0
1 2 2
10 3
2 2 2
2 1 0
0 1 2
1 1 2
2 2 1
0 2 1
2 2 0
1 0 2
1 0 1
1 2 2
10 6
2 2 0
0 3 2
0 3 0
1 0 1
1 1 1
0 3 3
0 2 2
3 1 3
3 2 3
1 2 2
10 7
1 2 1
0 0 1
2 1 1
0 0 2
0 1 2
2 1 2
2 0 1
0 2 0
2 1 0
0 2 2
10 5
0 1 0
2 2 0
2 1 1
2 0 1
0 0 1
0 1 2
1 0 0
0 0 2
2 1 2
1 1 0
10 9
0 1 3
3 1 1
0 1 2
1 1 2
1 3 3
2 1 0
2 1 3
0 2 3
3 3 0
2 3 3
10 5
0 1 1
2 0 3
1 0 0
2 2 3
3 1 1
0 1 0
1 2 0
1 1 2
3 3 3
3 2 1
10 4
2 3 2
0 1 2
1 2 2
1 3 2
2 2 0
0 0 2
1 1 2
0 3 1
2 1 0
0 2 3
10 2
2 2 2
0 0 2
1 2 2
2 1 2
2 2 1
1 0 2
1 2 0
0 2 0
2 0 1
1 0 0
10 3
3 0 2
2 3 2
2 1 3
2 2 1
1 1 3
2 2 2
1 1 0
0 1 3
1 1 2
2 0 3
10 2
0 2 3
0 1 2
1 1 1
2 2 2
0 0 2
3 2 0
2 3 1
1 2 0
3 0 0
2 0 0
10 3
2 1 1
1 2 1
2 0 1
1 0 2
1 1 2
0 2 0
2 1 0
2 0 0
0 2 2
2 2 1
10 7
0 1 0
1 2 1
0 0 2
1 0 1
2 1 0
1 1 0
1 1 1
2 2 0
2 1 2
2 2 1
10 3
2 2 2
0 2 2
1 2 2
0 0 2
0 0 0
2 0 1
0 0 1
0 1 2
2 2 0
0 2 0
10 9
0 0 2
0 3 3
1 0 0
3 0 1
1 3 2
2 2 3
1 3 0
1 1 3
3 0 3
3 3 2
10 2
0 1 2
0 2 1
0 0 2
2 1 2
2 1 1
2 2 2
0 0 1
1 2 1
1 2 0
1 1 2
10 8
0 2 1
0 2 2
2 2 2
1 2 1
1 1 2
1 0 0
2 2 0
1 1 0
0 0 0
1 2 2
10 5
0 3 3
2 3 2
0 2 1
1 2 1
3 2 1
0 0 0
2 2 3
0 2 2
0 0 2
0 0 1
10 8
0 1 0
3 2 3
3 3 3
3 3 1
3 0 2
2 0 0
2 2 3
3 1 3
0 2 3
2 1 1
10 2
1 1 0
2 0 2
1 1 2
0 2 3
3 3 3
3 2 2
2 3 2
0 0 3
3 3 0
0 0 2
10 8
3 3 3
1 0 0
0 0 1
2 0 1
0 0 0
2 1 1
3 1 3
2 2 3
0 2 1
3 1 0
10 5
2 1 1
2 0 0
0 1 2
2 1 2
0 0 0
2 2 1
1 1 2
0 2 0
1 2 1
1 2 2
10 7
1 2 1
2 0 0
0 2 0
0 3 3
0 3 2
1 0 1
3 3 2
1 0 3
3 2 3
0 1 0
10 8
2 3 2
1 2 0
2 1 1
0 0 3
3 1 0
2 1 3
3 2 2
3 2 3
1 1 2
1 1 3
10 6
0 0 0
0 0 1
2 0 1
0 1 0
0 1 1
0 1 2
1 1 0
2 2 2
2 1 2
1 0 2
10 6
1 0 0
0 1 0
2 1 0
1 0 1
1 1 2
1 1 1
0 0 1
1 0 2
2 1 1
0 2 0
10 5
2 0 1
0 0 2
2 0 0
0 1 1
0 1 0
1 1 1
2 2 0
2 2 2
0 2 0
1 2 2
10 7
0 2 0
2 1 2
1 0 1
2 2 0
1 2 1
2 2 1
1 2 2
0 0 0
1 1 0
1 0 0
10 3
1 2 0
1 0 2
0 1 1
2 2 1
1 0 0
0 1 2
1 2 1
2 1 2
0 0 1
2 1 1
10 6
0 2 2
0 1 0
1 1 1
1 0 1
0 2 0
0 0 2
2 2 1
2 1 1
2 1 2
1 1 2
10 4
1 2 0
1 2 2
2 0 0
1 2 1
2 1 2
1 1 2
2 1 0
0 2 1
1 1 1
2 1 1
10 4
2 3 0
2 0 3
2 3 3
2 0 2
0 3 1
0 0 3
1 1 1
1 3 3
0 2 1
2 2 1
10 6
3 3 3
1 3 0
1 3 2
0 0 1
3 0 1
1 3 3
0 3 1
3 2 3
1 1 0
2 2 3
10 5
2 2 1
2 3 3
0 0 2
0 0 1
1 3 3
1 3 0
1 0 2
3 3 1
0 0 3
1 1 2
10 7
2 0 3
2 2 2
2 0 2
3 1 1
2 3 3
2 2 0
2 1 2
3 3 3
2 1 1
0 0 0
10 7
1 1 2
2 2 1
1 2 1
2 1 1
1 0 1
0 2 2
0 1 1
0 2 0
0 1 0
1 1 0
10 9
0 2 0
0 1 1
1 2 2
1 1 1
0 1 2
1 0 2
0 0 0
2 1 0
0 0 1
1 2 1
10 9
0 3 3
1 1 3
1 0 1
0 2 1
2 2 1
0 0 1
3 3 1
3 2 2
1 2 2
3 3 3
10 6
3 0 1
1 1 3
3 2 0
1 1 1
1 3 2
0 3 2
3 0 2
3 1 2
3 3 3
0 2 1
10 3
0 2 1
2 1 1
1 1 1
1 2 1
1 0 2
2 2 1
2 1 0
1 2 2
1 0 1
0 1 0
10 7
3 0 2
1 1 3
0 0 1
3 3 0
1 2 1
1 3 0
2 0 1
0 0 3
2 1 1
0 3 0
10 5
3 3 1
1 2 0
3 1 3
3 2 3
3 3 0
1 0 1
1 3 2
3 0 1
0 0 2
1 0 0
10 8
2 1 2
2 0 2
0 1 1
1 0 1
1 1 0
1 2 2
0 2 0
1 1 2
1 0 2
0 2 1
10 9
2 2 1
0 2 0
2 2 2
1 1 1
2 2 0
0 0 2
0 1 0
0 2 1
0 1 1
2 1 1
10 3
2 3 3
1 3 1
2 2 1
1 2 2
2 2 3
2 1 0
2 1 3
3 3 3
2 3 0
0 3 1
10 8
0 0 0
1 3 1
2 1 3
3 2 1
2 3 3
1 3 3
3 3 1
2 1 0
0 2 0
2 2 1
10 3
1 1 0
0 0 2
2 0 1
0 2 2
1 2 0
2 2 2
2 1 2
0 1 2
1 0 0
1 2 1
10 2
1 0 2
1 2 2
0 0 2
0 2 0
0 1 0
1 1 2
2 2 1
0 1 2
0 1 1
2 0 1
10 8
2 3 3
1 0 1
2 1 2
2 1 1
2 0 3
0 2 3
1 2 2
3 3 3
2 1 3
1 3 2
10 4
2 0 0
0 2 2
0 2 0
1 1 1
1 2 0
2 2 0
1 0 0
0 0 0
0 1 1
1 2 1
10 3
1 2 2
2 0 1
1 1 0
2 1 2
2 0 2
1 0 2
2 1 0
0 1 2
0 0 0
0 1 1
10 2
2 2 2
1 2 2
0 2 0
0 0 1
1 1 1
0 2 2
2 1 2
0 1 1
1 2 1
2 0 0
10 9
3 0 0
2 2 1
0 0 1
1 1 2
2 1 1
1 2 2
3 1 3
3 2 2
2 1 0
2 3 3
10 8
2 2 0
0 1 2
0 2 2
2 0 0
1 1 0
2 0 1
2 2 1
1 0 0
2 1 0
0 1 1
10 8
0 1 1
1 0 2
0 0 2
1 2 2
3 3 3
0 0 3
2 3 1
0 2 0
1 2 3
2 2 3
10 8
0 2 2
2 2 0
1 2 2
0 2 1
1 1 0
2 0 2
1 1 1
1 2 0
0 1 1
2 1 0
10 2
1 0 2
2 0 1
2 2 0
1 0 0
2 1 0
1 2 1
2 0 0
2 2 2
0 1 0
2 1 1
10 3
2 0 0
1 0 2
1 1 0
0 2 0
0 0 1
2 0 1
1 1 2
1 2 0
0 2 1
2 1 0
10 4
2 3 0
1 0 2
2 1 1
3 3 2
1 1 3
3 3 3
0 1 0
0 0 2
0 1 1
3 1 2
10 4
0 0 0
1 1 2
2 1 1
2 0 0
2 1 0
1 2 0
2 0 1
1 0 0
0 0 1
1 0 2
10 6
0 0 2
2 2 0
1 0 1
2 1 1
2 0 1
0 1 2
0 2 1
2 0 2
0 1 0
1 1 1
10 7
1 2 3
0 0 1
2 0 2
0 2 3
0 1 2
3 2 3
1 0 0
2 0 3
0 3 2
1 1 2
10 2
2 2 3
3 1 2
1 3 3
2 3 2
1 2 3
3 2 0
1 1 1
2 1 2
0 3 1
2 0 3
10 3
2 0 1
0 0 0
0 1 1
0 2 0
0 0 1
2 2 1
2 2 0
0 1 2
0 2 2
2 2 2
10 2
1 3 3
3 1 2
0 1 0
2 3 2
1 2 3
0 3 2
0 3 1
3 0 1
3 0 0
0 0 3
10 3
0 1 1
0 1 0
0 2 0
1 1 1
2 2 0
1 2 0
0 0 1
2 1 0
1 0 2
1 2 2
10 5
1 0 1
0 1 1
2 1 1
2 2 0
1 2 1
1 1 0
0 1 2
0 2 0
2 1 2
0 2 2
10 3
3 0 0
1 3 1
1 1 1
1 1 2
0 0 0
0 2 1
1 0 0
3 3 3
1 3 2
3 2 0
10 2
1 0 1
2 0 3
2 1 0
3 0 2
1 3 3
3 2 0
2 2 2
2 1 2
2 3 3
2 1 3
10 3
1 1 2
2 2 2
1 2 0
0 0 2
1 0 2
0 2 1
2 0 1
1 2 1
0 1 2
0 1 0
10 7
2 1 0
0 0 1
0 2 1
1 0 0
0 0 2
0 1 0
2 0 1
1 2 2
1 1 0
2 1 2
10 9
2 0 1
1 3 2
0 3 2
3 3 2
0 1 3
1 3 1
2 1 0
3 3 0
0 2 1
1 0 2
10 4
0 1 2
2 2 0
0 1 1
2 1 0
1 1 0
1 2 0
0 2 2
0 0 0
1 0 1
0 0 2
10 8
3 3 0
2 3 0
3 0 3
3 1 2
0 3 1
3 3 2
0 1 3
2 1 1
1 0 3
3 2 2
10 7
0 0 2
2 1 3
1 2 0
0 1 1
1 3 2
3 1 1
0 2 2
2 1 2
2 2 1
0 3 1
10 3
0 0 1
0 0 2
2 1 2
2 0 1
2 2 1
1 1 0
1 0 2
0 0 0
1 2 2
0 1 0
10 5
0 2 1
0 2 2
0 0 1
2 0 0
1 0 0
0 2 0
0 1 1
1 1 0
0 0 0
1 2 1
10 7
1 1 3
3 0 2
3 2 2
0 2 1
3 1 1
1 3 0
2 2 3
1 1 1
3 2 3
3 0 3
10 9
3 0 0
0 0 2
2 0 1
1 0 0
2 3 0
1 1 2
2 1 3
3 3 1
2 3 2
0 3 0
10 2
1 1 0
2 0 3
0 1 2
3 2 0
3 2 3
1 1 1
0 3 0
1 3 1
0 2 1
2 2 3
10 9
2 1 0
2 1 2
1 1 0
1 1 1
0 1 0
0 0 2
0 1 1
1 0 1
1 2 2
1 0 0
10 5
2 0 2
1 1 0
0 0 1
1 2 1
1 0 2
1 2 2
2 2 1
0 1 0
0 2 2
2 2 0
10 4
0 2 0
1 1 2
1 0 1
0 1 1
0 0 2
2 1 1
2 2 2
2 1 0
0 1 2
1 0 2
10 9
2 1 2
0 1 2
0 2 1
0 1 1
1 1 0
2 0 2
0 0 1
1 0 0
0 1 0
1 0 1
10 3
2 0 1
0 2 2
2 1 0
0 0 1
1 1 1
2 0 2
2 2 0
0 0 2
2 0 0
2 1 2
10 7
2 3 1
1 1 0
3 2 3
1 1 1
2 2 0
3 1 1
0 1 2
2 1 2
1 3 2
1 0 2
10 7
3 3 1
0 3 3
0 3 2
2 3 1
0 2 3
1 3 0
0 1 1
3 1 2
3 3 2
2 0 0
10 7
1 2 1
0 2 0
1 2 0
2 1 2
1 1 0
2 0 0
2 0 1
0 0 0
0 1 1
1 1 2
10 2
3 1 2
3 0 2
1 1 2
3 1 1
1 2 0
3 1 0
1 3 1
2 1 0
2 0 1
2 3 1
10 5
0 2 1
0 0 2
2 2 1
1 1 0
0 3 0
1 2 0
2 1 1
1 3 3
2 3 3
2 3 2
10 5
1 0 3
0 2 3
3 1 2
3 2 3
0 3 3
1 1 0
1 2 0
2 0 3
3 0 0
3 2 2
10 5
2 2 0
3 2 1
0 1 1
1 2 0
0 1 2
2 1 2
3 3 3
0 2 1
2 3 0
0 2 2
10 5
0 1 0
2 0 1
2 0 2
1 0 1
1 0 2
1 2 2
0 0 2
2 2 1
2 2 0
0 2 1
10 3
2 0 0
2 1 2
0 2 2
1 1 0
2 1 1
2 2 0
2 2 1
0 2 0
1 2 0
0 0 0
10 6
0 0 2
1 1 2
2 1 0
2 2 0
1 2 1
1 0 1
1 0 2
2 2 2
0 1 2
1 2 0
10 3
0 2 1
1 0 1
3 2 0
2 0 0
2 0 2
3 3 2
0 1 2
0 3 0
1 3 2
0 1 1
10 2
3 3 3
2 1 0
0 3 2
0 2 0
1 3 1
1 2 0
0 0 0
2 3 3
3 0 0
2 2 1
10 9
3 2 3
2 0 0
1 3 0
1 0 2
3 2 2
0 2 3
3 0 2
3 3 2
3 1 2
1 2 2
10 6
0 2 2
2 1 2
1 2 0
2 2 0
1 2 1
1 1 0
1 0 1
2 1 1
2 1 0
2 0 0
10 9
0 2 2
1 0 1
2 2 2
1 2 1
2 1 2
0 1 2
1 0 2
1 1 1
1 1 2
2 2 0
10 7
2 1 0
0 3 3
3 2 1
2 3 1
2 1 3
3 3 1
1 0 0
2 2 0
0 3 2
0 0 0
10 8
3 2 1
2 0 0
0 2 3
0 3 2
3 2 2
0 0 0
1 1 2
0 2 1
0 3 1
2 3 3
10 9
1 0 0
0 1 0
2 0 0
2 3 3
1 1 3
0 2 3
1 3 3
3 2 1
1 0 1
3 1 2
10 7
0 1 1
1 1 1
0 1 2
1 2 2
2 0 2
1 2 1
1 0 2
2 2 2
0 2 0
2 2 0
10 6
2 1 2
0 0 1
1 0 2
0 0 2
2 0 2
0 2 1
0 2 2
2 2 0
2 0 0
2 2 1
10 7
0 0 1
1 2 2
0 0 0
3 2 1
2 0 3
1 2 3
0 3 1
3 0 2
0 0 3
2 2 3
10 2
1 1 2
2 1 2
0 2 2
2 2 0
2 1 0
1 1 1
0 2 1
0 1 1
2 2 1
1 0 1
10 4
0 2 1
2 1 0
2 0 2
0 2 0
0 1 0
2 2 0
0 1 1
1 2 0
0 1 2
2 0 0
10 5
2 1 0
1 1 3
1 2 2
1 0 2
2 0 2
2 1 3
2 1 1
0 2 1
3 3 1
1 1 0
10 2
0 2 0
1 0 1
0 1 2
1 1 0
2 0 0
0 0 0
1 1 2
0 2 2
0 1 1
0 2 1
10 4
1 1 2
1 2 2
2 1 2
0 1 1
2 0 0
1 1 1
1 2 1
1 0 1
2 1 0
0 0 2
10 4
1 3 0
3 1 0
0 3 2
0 0 3
1 2 3
2 3 3
0 1 3
1 3 2
0 2 1
1 2 1
10 8
3 2 2
3 3 1
0 2 1
2 0 3
0 3 2
0 2 3
1 0 1
3 1 0
1 0 2
1 3 2
10 3
0 1 1
0 2 0
0 0 2
1 2 2
1 1 2
0 1 2
2 2 0
0 1 0
1 2 1
2 1 2
10 7
3 1 3
3 3 0
3 2 2
3 1 2
1 2 0
0 2 2
2 3 3
2 3 0
2 1 3
0 2 0
10 6
1 1 2
3 0 0
1 1 3
2 2 2
1 2 2
2 0 3
1 1 1
3 1 1
1 0 0
2 0 0
10 3
1 1 0
2 1 1
0 1 2
2 1 0
1 0 1
1 2 0
2 0 0
0 0 0
2 1 2
2 0 2
10 5
0 1 2
2 1 0
1 0 2
2 2 1
0 2 1
0 2 0
1 0 0
0 1 0
1 1 1
2 0 0
10 7
3 0 3
1 2 3
2 2 2
0 2 1
2 0 1
3 0 0
0 2 2
1 3 1
1 2 2
3 1 2
10 6
0 1 3
1 0 1
2 1 2
2 0 0
0 3 0
3 0 1
3 0 0
3 2 2
3 1 1
0 2 2
10 7
1 0 1
0 2 1
1 3 2
1 0 3
1 2 0
0 1 2
0 3 1
2 2 2
1 2 3
2 0 2
10 2
1 2 1
2 2 1
3 0 3
0 3 0
3 2 2
1 1 1
1 1 2
1 0 2
3 3 0
2 3 2
10 8
1 0 2
0 1 2
1 0 0
2 1 1
0 0 2
1 0 1
0 2 1
2 0 0
0 1 0
0 2 0
10 7
0 3 0
1 1 2
1 2 0
0 2 1
3 2 0
3 1 0
1 3 1
0 3 3
2 1 0
1 1 3
10 5
2 0 0
0 2 1
1 1 0
1 0 0
0 2 2
1 2 1
2 2 0
0 1 0
2 2 1
2 1 0
10 6
0 0 2
1 3 0
3 1 2
0 1 2
2 1 2
2 0 2
3 3 3
3 2 0
1 3 1
1 3 3
10 7
2 3 0
0 2 2
2 0 1
1 3 3
1 1 1
2 2 1
0 3 2
2 2 0
0 3 0
2 1 3
10 6
2 1 0
0 1 0
1 3 0
1 1 0
0 3 2
1 0 2
0 2 1
3 2 1
2 0 1
1 3 3
10 9
2 3 0
0 2 1
1 0 3
2 0 1
2 3 2
3 2 3
0 2 2
1 0 2
1 1 3
2 2 2
10 2
2 0 1
2 3 2
2 2 1
0 1 2
1 3 0
1 1 1
3 1 1
1 2 3
0 0 1
1 3 1
10 3
0 1 1
0 2 0
1 2 1
2 2 1
2 1 0
1 2 2
2 0 0
0 1 0
1 0 2
1 0 1
10 5
1 2 0
1 2 1
2 1 2
2 0 2
0 0 1
0 1 1
0 0 0
2 1 0
2 0 0
1 1 2
10 7
0 0 1
0 2 0
1 2 2
2 2 1
1 1 1
2 0 0
1 1 2
0 1 1
1 0 0
0 2 1
10 2
3 0 0
0 1 0
2 2 2
3 3 1
2 3 3
2 2 0
1 0 2
1 1 0
0 3 3
2 1 1
10 9
2 0 2
2 1 2
1 0 2
0 0 2
0 0 0
1 1 1
2 1 0
1 2 0
0 1 0
0 2 2
10 6
1 1 3
1 0 3
1 3 1
1 3 2
1 2 2
1 3 3
3 3 3
3 3 2
0 1 3
0 0 3
10 7
1 3 0
1 0 3
3 0 0
1 1 2
1 2 0
3 1 3
0 2 3
1 3 2
2 3 0
2 3 2
10 4
0 2 0
0 2 1
2 0 1
2 1 0
0 2 2
1 0 2
1 0 0
1 2 0
1 2 2
0 0 2
10 4
1 0 1
1 0 2
1 0 0
0 2 1
2 2 1
0 1 2
2 1 2
2 2 2
0 2 2
1 1 1
10 4
3 1 2
3 1 0
3 2 3
0 3 3
3 2 0
1 2 2
2 2 3
0 0 2
0 3 2
3 3 0
10 4
1 3 3
0 2 2
1 2 2
3 2 2
0 0 1
3 2 3
3 1 3
3 2 0
0 0 0
3 0 1
10 9
0 2 1
1 0 1
2 2 1
0 2 0
1 2 2
1 1 1
0 1 2
2 1 1
0 0 2
2 0 1
10 6
0 0 2
0 0 0
2 1 2
0 1 1
1 2 1
0 0 1
1 1 1
1 1 2
2 2 2
0 1 0
10 7
1 2 2
0 0 1
0 1 0
0 0 2
1 1 1
0 2 2
2 2 0
0 1 2
1 0 2
0 2 1
10 2
3 2 3
1 1 1
2 1 0
2 2 1
2 1 2
3 0 1
1 2 1
3 2 0
2 3 1
0 2 2
10 9
0 1 1
1 1 0
0 0 1
2 2 0
0 2 0
0 2 1
1 2 2
2 0 1
1 0 0
0 0 2
10 8
3 3 0
3 0 2
1 2 2
3 3 2
0 1 2
2 0 2
2 2 1
2 1 3
0 0 2
3 0 1
10 3
2 2 1
2 2 2
0 2 2
0 0 1
1 0 2
2 0 1
2 0 0
2 1 0
1 1 2
2 1 2
10 9
0 3 0
3 2 1
1 1 3
0 3 1
1 2 1
0 0 1
1 0 2
3 1 0
1 2 0
2 2 1
10 3
3 1 2
3 2 2
3 2 1
3 1 3
0 1 1
0 2 0
3 2 3
2 0 0
2 1 0
2 1 1
10 7
2 0 3
0 3 3
2 2 0
2 2 3
3 2 2
1 0 3
1 1 0
1 2 2
3 1 2
2 2 1
10 2
0 1 2
2 0 0
0 0 1
0 0 0
2 2 1
0 2 0
2 2 2
0 0 2
2 0 2
1 0 0
10 2
1 2 0
2 0 0
1 2 2
1 1 2
0 1 0
1 1 1
2 1 0
1 1 0
2 2 1
2 0 2
10 8
2 3 0
0 0 1
3 0 3
0 1 3
1 2 2
0 3 3
1 1 2
0 3 1
2 2 2
1 0 3
10 5
0 0 0
3 1 3
0 3 0
0 1 2
2 0 2
1 3 3
1 2 0
3 2 1
2 2 0
3 0 0
10 6
1 0 0
0 0 3
2 2 3
3 1 1
0 3 1
3 1 3
2 1 0
0 0 2
3 3 1
0 3 2
10 6
0 1 1
1 1 0
0 2 0
0 0 1
1 0 0
0 2 1
1 0 2
1 2 2
0 1 0
2 1 2
10 2
2 0 0
1 3 2
0 0 3
1 3 0
1 2 1
1 2 2
2 3 3
3 3 3
2 1 3
2 2 2
10 4
0 2 2
1 2 0
2 0 0
0 0 1
3 0 2
0 1 3
2 3 0
2 2 1
1 3 1
0 1 2
10 6
1 1 0
0 0 0
2 2 0
0 1 0
0 1 2
0 1 1
1 2 2
0 2 1
2 1 1
1 0 2
10 6
1 2 1
2 1 2
0 0 0
2 2 2
2 0 1
2 2 1
0 1 1
1 1 0
1 2 0
2 2 0
10 9
2 0 1
2 1 1
3 0 0
0 2 1
1 2 2
0 0 1
1 2 1
3 3 2
2 2 0
3 3 1
10 9
2 2 0
0 0 1
2 0 2
1 2 2
0 2 1
2 0 0
0 0 2
2 1 2
0 1 2
0 2 2
10 5
3 2 0
2 0 1
0 2 1
1 3 0
2 1 1
1 1 0
0 3 1
0 3 2
2 0 3
1 1 3
10 8
2 0 2
2 1 1
0 1 1
0 2 1
0 2 0
2 0 1
2 1 0
2 1 2
1 0 0
1 1 1
10 9
0 0 1
0 1 1
0 1 2
1 1 1
2 2 1
1 0 2
2 0 2
0 0 0
1 2 2
2 1 0
10 3
1 2 0
2 2 1
1 0 1
2 2 0
2 0 1
1 0 0
0 2 2
0 1 1
2 1 0
0 2 1
10 9
2 0 2
0 0 0
2 1 2
0 2 1
2 2 0
1 2 1
0 0 1
2 2 1
2 0 1
2 2 2
10 3
0 3 2
2 3 1
0 0 1
0 1 0
3 2 3
0 0 2
2 2 3
0 1 3
3 1 1
1 2 1
10 9
0 3 2
3 2 2
1 2 2
2 3 3
0 3 3
3 0 0
1 0 3
1 2 0
3 3 2
2 0 3
10 7
1 2 1
0 2 0
0 0 2
1 0 1
0 1 1
1 1 1
2 0 1
1 0 2
1 0 0
1 1 0
10 3
2 0 2
0 1 0
3 3 2
0 1 2
1 2 1
2 2 3
1 1 0
2 2 1
0 3 3
2 2 2
10 4
2 1 0
1 0 3
1 0 0
0 2 2
0 1 1
0 3 3
2 0 0
3 2 1
0 1 0
0 3 1
10 4
2 2 2
2 2 3
0 3 1
0 1 1
2 0 2
2 2 1
1 1 1
3 0 0
0 3 2
0 2 2
10 8
1 0 2
1 1 2
2 0 0
1 0 0
0 1 0
0 1 1
0 2 0
2 2 0
1 2 1
1 1 1
10 9
2 2 0
2 1 1
1 2 0
1 1 2
1 2 1
0 1 1
2 2 1
0 0 1
2 0 0
1 1 0
10 6
3 3 2
0 1 2
0 0 2
3 3 1
1 1 1
2 2 0
3 0 2
3 1 3
0 0 1
1 2 0
10 7
0 2 0
1 2 2
2 1 1
1 1 0
1 2 1
1 0 1
0 1 0
0 2 1
2 2 0
2 2 1
10 2
3 1 0
1 3 3
2 0 0
1 1 2
2 3 0
3 0 3
2 3 2
3 1 1
2 0 3
1 0 0
10 9
1 2 2
0 2 2
3 3 0
0 3 0
1 0 0
1 1 1
3 3 2
2 2 1
3 2 0
2 1 2
10 3
2 3 3
3 3 1
2 2 2
0 0 1
3 0 3
2 1 3
2 0 2
2 0 3
1 1 1
0 0 2
10 4
2 2 2
1 1 1
0 2 2
0 0 1
1 0 0
0 1 1
2 0 0
2 0 2
2 1 0
1 2 0
10 4
0 3 1
2 1 3
0 0 0
2 1 1
1 1 0
3 3 0
1 0 2
0 3 2
2 3 2
3 2 0
10 4
1 2 1
2 0 0
2 2 1
0 0 2
0 1 1
2 1 0
1 0 0
1 0 2
1 2 0
0 2 2
10 7
1 1 0
0 0 1
2 2 1
1 2 2
2 1 2
0 1 2
2 0 1
2 0 2
0 1 1
1 0 0
10 9
3 3 0
0 2 3
3 0 0
3 1 2
1 3 2
1 1 2
1 1 3
2 0 2
3 2 3
2 2 2
10 5
1 1 2
2 2 1
0 2 1
0 2 2
1 0 2
1 1 0
0 2 0
2 0 1
0 0 1
2 1 0
10 2
1 2 2
2 2 0
2 1 0
1 3 3
0 0 2
3 0 2
2 2 3
2 3 1
3 0 0
2 1 1
10 4
3 1 1
1 2 2
2 1 2
3 0 3
1 0 1
0 0 0
2 1 0
0 2 2
1 0 2
1 3 0
10 4
3 1 0
0 0 3
2 2 0
0 0 2
2 2 3
0 2 0
1 1 3
1 3 1
3 0 3
2 0 3
10 4
0 1 1
0 2 0
1 1 1
0 2 1
2 2 0
0 2 2
1 0 0
0 1 2
1 0 2
2 0 1
10 3
3 0 2
3 0 1
0 2 3
1 3 2
0 1 0
2 1 0
1 2 3
1 0 1
3 2 1
1 1 3
10 9
0 2 1
1 0 1
0 1 1
2 0 2
2 1 0
0 0 2
1 1 0
1 0 0
2 0 1
0 2 2
10 4
2 3 2
1 1 3
3 2 1
2 1 3
1 3 2
0 2 2
1 3 0
3 1 2
2 1 0
3 1 3
10 2
2 1 1
0 0 2
0 2 1
2 1 0
0 0 1
2 1 2
1 2 0
0 0 0
1 1 2
1 2 1
10 3
1 3 0
3 1 1
0 1 0
2 1 3
3 1 0
2 3 2
0 3 0
3 0 0
0 2 2
1 3 2
10 4
2 0 2
1 1 0
2 2 0
1 0 2
2 0 0
0 1 1
0 2 0
2 2 2
1 2 1
2 1 0
10 9
0 0 1
1 2 1
3 2 1
2 0 2
1 1 1
3 0 2
3 3 0
1 0 1
2 3 3
2 0 1
10 6
0 1 3
3 3 3
2 1 1
2 1 3
2 2 1
3 1 0
2 1 2
1 0 2
1 1 2
2 2 2
10 4
0 2 0
0 0 1
2 1 0
0 1 0
1 2 2
0 1 1
1 0 2
2 1 1
2 0 1
2 0 0
10 3
0 1 1
1 1 2
0 2 2
1 2 0
2 1 1
0 1 0
2 0 1
2 0 0
2 1 2
2 2 1
10 8
3 3 1
3 2 1
1 3 2
1 2 1
3 2 0
0 1 2
1 2 0
2 2 2
0 2 2
3 3 2
10 5
2 2 0
3 0 2
0 0 2
1 3 3
1 2 0
1 1 0
1 0 2
3 2 0
1 1 3
0 2 0
10 6
0 0 1
2 0 2
2 1 0
2 0 0
1 1 2
1 0 2
0 1 2
2 2 2
0 1 0
0 1 1
10 9
3 2 1
0 0 0
3 2 2
3 2 0
0 3 0
2 1 1
2 2 3
0 0 1
3 1 2
1 1 0
10 4
2 0 1
2 1 0
1 0 2
0 2 1
0 1 2
2 2 2
2 2 0
0 1 1
1 1 2
0 2 0
10 8
1 2 1
1 0 0
0 0 2
3 2 1
0 0 0
2 0 3
2 3 3
0 3 2
3 0 0
2 0 2
10 8
2 0 2
0 1 2
2 1 0
1 0 3
0 2 3
2 3 2
3 0 3
3 1 2
2 1 1
1 3 1
10 6
0 2 0
2 1 0
1 0 1
2 2 1
0 0 0
1 2 0
1 1 1
2 0 0
2 1 1
0 1 0
10 5
1 2 1
2 1 1
1 0 2
1 1 0
0 1 1
0 0 2
2 1 0
2 2 1
0 1 2
0 2 0
10 3
0 1 0
1 1 0
1 2 0
0 1 1
1 0 1
0 2 2
0 2 0
1 0 2
1 2 1
2 2 2
10 8
0 3 2
0 1 1
1 0 3
1 0 0
3 0 0
0 0 0
0 2 3
1 3 1
2 1 0
0 2 1
10 2
1 3 3
0 3 1
1 0 1
3 3 1
3 2 3
0 2 1
2 1 3
1 3 0
3 3 3
2 3 1
10 7
0 1 2
1 1 2
3 2 3
0 1 0
1 2 1
2 0 3
3 3 3
2 2 3
2 0 0
3 3 1
10 2
0 0 1
0 1 0
1 1 2
1 0 0
2 2 0
0 2 1
1 1 0
2 1 1
1 1 1
1 2 0
10 5
2 2 2
0 0 2
0 0 1
0 0 0
1 1 0
0 1 1
2 1 1
2 2 0
0 2 0
0 2 2
10 2
1 0 0
0 0 0
0 1 1
2 1 0
1 2 2
2 0 1
1 1 1
0 2 2
2 2 1
0 0 1
10 8
1 1 0
0 1 0
1 2 1
2 2 0
1 2 0
2 1 0
2 1 2
1 1 2
0 2 2
2 0 2
10 9
0 1 1
2 1 0
2 0 0
0 0 2
0 1 2
0 0 1
1 1 1
1 1 0
0 2 1
1 0 2
10 7
1 0 1
0 1 1
2 0 0
0 1 0
2 2 2
1 0 2
0 2 0
2 2 1
1 2 1
2 0 2
10 8
2 1 1
2 0 1
0 0 2
1 1 1
2 0 0
2 2 1
0 2 1
0 2 0
0 1 0
2 2 0
10 8
0 2 2
0 0 0
1 0 1
0 0 1
2 1 2
0 2 1
1 1 2
0 1 0
2 2 1
2 2 2
10 6
0 1 0
1 0 1
1 2 2
1 1 2
2 0 1
2 1 0
2 1 2
2 1 1
0 0 1
1 0 0
10 2
0 1 0
1 0 2
0 0 0
2 0 0
1 1 1
0 1 1
1 2 2
1 1 0
0 2 2
0 2 1
10 4
2 0 2
0 0 0
3 3 3
1 0 1
0 1 0
0 0 2
2 0 1
0 3 2
0 0 1
2 1 3
10 7
1 2 0
0 1 0
2 0 2
0 2 0
2 2 0
0 2 1
1 1 0
2 2 2
0 0 2
0 1 1
10 2
0 0 1
3 3 1
2 3 2
1 1 2
0 2 0
2 1 1
0 3 2
2 0 2
3 1 2
0 0 3
10 8
1 1 1
2 0 2
0 0 0
0 2 0
2 1 1
2 2 1
2 2 0
0 0 1
1 1 0
1 0 1
10 2
1 1 0
2 2 1
0 0 0
1 1 1
1 0 0
0 1 1
0 2 0
1 2 2
1 0 1
2 0 0
10 6
3 1 0
3 1 3
2 3 0
0 0 0
2 3 1
1 3 0
2 0 2
0 3 3
1 2 2
1 2 1
10 5
0 1 1
3 2 1
3 2 0
1 3 1
2 1 1
3 3 1
1 3 0
2 3 2
2 0 3
3 0 0
10 9
1 1 2
2 1 2
0 2 0
2 0 0
2 2 2
1 2 2
0 2 2
0 0 0
0 0 1
2 0 1
10 6
2 1 2
0 1 2
3 1 2
2 2 2
0 3 2
1 1 3
2 1 0
1 0 3
0 2 0
1 3 3
10 5
0 1 2
3 0 3
1 1 0
0 1 1
0 1 3
2 2 0
2 0 2
1 1 1
1 1 2
3 2 3
10 2
2 0 1
2 3 3
0 3 0
3 2 0
3 0 1
1 0 1
2 3 0
1 3 0
1 0 0
2 3 2
10 7
2 3 0
0 0 1
1 3 1
2 2 1
0 1 0
3 2 0
1 0 3
2 0 3
0 2 1
1 3 0
10 4
2 2 0
2 2 2
3 2 0
1 2 1
1 2 0
3 2 3
3 1 1
0 1 1
0 1 0
0 0 2
10 2
3 2 2
3 0 1
1 0 3
2 1 0
3 0 0
0 3 1
3 3 3
1 0 1
0 1 2
2 1 1
10 7
0 0 1
1 3 3
3 1 3
2 3 3
2 3 0
2 2 3
0 2 2
1 3 2
0 3 0
3 1 0
10 4
3 3 1
1 2 3
3 0 3
3 1 3
3 1 1
0 3 3
0 1 2
1 2 2
2 2 3
3 1 0
10 4
0 0 1
0 1 2
1 2 2
1 1 0
2 1 2
1 0 0
2 2 1
0 1 1
2 1 0
0 1 0
10 6
3 0 3
2 3 1
2 3 3
1 0 2
3 0 2
2 1 0
2 1 2
3 1 3
2 2 1
0 1 2
10 3
1 3 3
1 1 1
0 1 1
3 0 3
1 2 2
0 3 2
3 2 0
1 3 1
0 3 0
1 3 2
10 8
1 1 0
3 0 3
2 2 3
0 3 2
0 3 1
1 1 2
2 3 3
2 3 2
2 0 2
1 3 1
10 5
2 1 3
0 3 0
3 2 0
0 3 1
3 2 3
3 3 1
1 1 2
2 2 1
3 0 3
3 3 3
10 2
0 1 1
2 2 0
2 1 0
1 1 0
0 1 2
2 2 2
0 2 0
0 2 2
2 0 2
0 1 0
10 8
1 1 3
1 0 0
0 1 1
0 2 0
1 3 0
2 1 1
0 3 1
3 1 3
0 0 0
3 2 3
10 5
0 0 1
0 2 0
1 1 1
1 2 0
2 1 1
2 0 2
2 2 0
1 1 2
2 0 0
0 1 2
10 3
0 1 1
0 0 0
1 0 0
0 0 1
2 1 1
1 2 1
1 0 1
2 0 1
2 2 2
2 0 2
10 7
0 3 1
2 1 2
3 3 0
2 0 2
3 1 0
0 3 3
0 0 0
3 0 2
0 1 2
2 3 3
10 9
1 0 2
0 2 1
2 2 1
0 0 2
0 1 0
1 1 1
1 0 1
0 0 0
0 2 2
0 1 1
10 5
3 0 0
3 2 1
3 3 1
1 2 1
1 2 2
3 3 3
0 2 3
0 3 0
1 1 3
1 3 3
10 5
1 2 0
3 2 2
0 2 2
2 0 0
1 0 1
2 1 0
0 0 1
0 1 1
1 0 0
3 0 3
10 7
1 2 0
0 0 1
1 0 1
2 1 0
2 2 2
1 1 2
0 0 2
0 2 1
1 1 1
2 0 0
10 5
0 0 0
3 0 0
1 0 2
2 2 2
3 2 3
3 3 1
1 2 3
2 0 3
2 1 3
0 0 3
10 7
3 3 1
2 3 1
2 0 2
3 1 0
0 0 3
0 2 1
2 3 0
0 1 0
1 2 3
3 3 2
10 6
2 0 1
1 1 1
1 2 0
0 1 2
0 0 1
2 1 2
2 0 2
0 1 0
0 2 0
0 0 0
10 7
0 0 2
1 0 0
0 1 2
2 2 1
0 1 1
1 2 2
2 0 2
0 0 1
2 0 0
0 1 0
10 6
2 0 0
0 1 0
0 0 2
0 2 1
1 2 2
2 2 0
0 1 1
1 2 1
1 2 0
1 0 1
10 9
1 1 0
0 1 0
1 0 0
1 0 2
1 0 1
2 1 1
2 2 2
0 1 2
2 1 2
1 2 1
10 5
0 0 0
1 2 1
1 0 2
2 0 1
0 1 1
0 0 2
1 2 0
2 0 2
0 1 2
1 0 1
10 3
2 1 1
2 0 2
2 2 0
0 1 1
1 2 0
0 1 2
0 3 0
3 1 3
2 0 3
1 3 2
10 6
1 1 1
1 1 3
1 2 0
0 2 1
1 1 0
1 0 2
3 2 3
1 3 3
2 1 2
3 3 3
10 9
0 1 0
1 2 0
0 1 1
2 0 1
1 0 2
0 2 2
0 1 2
1 2 1
0 0 0
0 2 0
10 9
1 1 3
2 3 2
3 0 2
3 0 1
2 1 3
2 0 2
0 2 1
0 2 2
1 0 1
3 1 1
10 5
1 0 0
3 0 2
0 1 0
1 2 3
2 1 1
3 0 3
1 0 3
3 0 0
0 0 0
3 3 1
10 9
0 2 1
2 1 0
3 1 2
1 0 1
1 2 1
1 3 2
2 2 0
0 3 0
0 2 2
2 2 3
10 9
1 1 2
0 2 1
2 0 1
2 2 2
3 3 3
0 0 3
0 2 3
2 1 1
3 1 1
1 3 0
10 3
0 2 3
0 1 0
1 1 1
0 1 2
1 2 1
1 3 0
0 2 2
3 1 2
0 0 0
0 0 3
10 8
2 1 1
0 0 2
0 2 0
1 2 1
2 0 2
1 0 0
2 2 1
0 1 2
2 1 0
0 0 1
10 7
0 1 3
3 2 3
1 0 2
2 1 3
3 3 2
3 2 0
2 3 1
0 1 2
3 0 3
0 3 0
10 7
2 0 0
1 2 0
2 1 1
0 1 2
1 0 0
1 0 1
0 0 0
0 2 2
0 1 0
0 2 0
10 9
1 0 1
2 0 1
0 1 0
2 1 2
0 2 0
2 0 0
0 0 2
1 2 1
2 1 0
2 2 0
10 3
2 1 0
0 2 2
1 2 1
1 1 0
1 2 0
0 1 0
2 2 0
1 0 2
1 1 1
1 2 2
10 2
2 1 1
1 2 0
0 3 1
3 2 0
1 2 1
1 0 0
2 2 0
2 1 0
0 3 2
0 2 0
10 2
1 3 2
2 3 1
2 1 2
3 3 1
1 1 2
3 1 1
1 1 1
0 3 3
3 1 2
1 1 0
10 3
3 1 3
0 0 3
0 1 1
0 0 1
1 1 3
3 0 1
3 1 0
3 0 3
3 1 1
2 2 3
10 2
1 2 0
2 0 1
1 2 2
0 1 0
0 1 2
2 0 2
2 1 1
1 1 2
2 0 0
2 1 2
10 9
1 1 1
2 0 0
2 2 1
1 1 0
0 1 1
1 2 1
2 2 0
2 0 1
1 0 0
1 0 2
10 5
2 2 3
2 1 0
2 0 1
0 3 2
2 0 2
0 0 3
1 0 2
3 0 1
3 1 1
1 0 1
10 2
2 0 1
0 2 2
0 0 1
2 0 2
0 0 0
2 1 0
2 0 0
1 0 0
1 1 1
0 1 0
10 4
2 3 0
1 2 0
3 1 1
1 3 3
1 3 1
1 0 0
3 1 0
3 0 2
0 2 3
1 0 3
10 7
3 2 0
1 3 2
2 1 3
1 2 2
1 1 1
1 3 1
3 2 3
3 3 1
1 3 0
2 3 3
10 9
2 0 2
2 0 1
2 1 1
0 1 1
0 0 1
1 2 2
0 2 0
2 2 2
0 2 1
1 2 1
10 8
2 0 2
2 2 2
0 1 1
2 0 0
2 2 0
1 2 0
0 0 1
0 2 2
1 0 0
0 0 0
10 7
0 0 1
1 2 2
0 1 1
2 0 2
1 0 2
1 2 1
0 0 0
0 2 0
1 0 1
1 1 1
10 8
2 0 1
2 0 2
2 2 2
2 1 2
1 0 0
0 0 1
0 0 2
0 2 1
1 2 1
0 2 2
10 3
2 3 3
2 3 2
0 0 2
1 1 0
1 3 0
3 2 2
0 3 1
2 2 1
1 2 0
2 0 2
10 8
0 0 3
2 2 1
2 2 2
0 3 2
1 1 3
0 2 0
0 3 0
3 2 3
0 0 2
1 1 0
10 3
1 3 3
2 2 0
3 3 1
3 3 3
1 3 2
0 2 1
2 3 0
0 0 1
3 3 0
3 2 3
10 3
1 0 3
0 3 2
1 0 0
0 0 1
2 2 3
2 2 2
2 1 0
3 3 2
2 1 3
2 0 0
10 5
0 3 0
2 3 3
3 3 2
1 3 2
2 2 1
0 3 3
2 2 0
3 0 1
0 1 3
2 3 2
10 4
1 0 1
0 3 2
1 3 2
2 1 3
1 0 3
3 3 1
2 3 2
3 2 1
0 0 2
1 1 0
10 3
1 1 1
0 3 2
3 2 2
2 2 2
2 3 1
1 1 2
3 0 2
0 2 3
0 3 1
2 2 0
10 4
1 1 1
1 2 0
1 0 1
2 1 0
0 0 0
2 2 2
2 2 0
0 1 0
1 1 0
2 0 0
10 2
0 2 1
2 2 1
2 2 0
2 0 0
1 2 1
0 1 2
1 2 0
0 1 0
0 2 2
1 0 0
10 6
3 3 1
2 2 0
0 3 2
2 1 2
0 2 0
2 0 3
1 0 1
3 3 2
1 2 0
0 1 3
10 5
0 3 2
0 0 3
2 3 2
2 3 1
2 0 2
2 2 0
1 2 1
3 2 1
1 3 2
0 3 3
10 7
2 0 2
1 0 2
1 2 1
0 2 1
0 2 2
1 1 2
2 2 0
2 2 1
0 1 0
1 0 0
10 6
3 2 0
0 0 3
3 1 2
2 1 3
3 0 3
2 2 2
1 2 1
1 0 2
2 2 1
3 2 2
10 9
2 0 2
0 0 2
1 0 0
1 2 1
1 1 2
2 2 2
2 1 2
2 2 0
1 2 0
1 1 1
10 9
2 0 2
2 3 2
0 3 2
3 1 0
2 1 3
1 2 1
0 1 0
1 3 1
0 1 1
2 1 2
10 8
2 1 0
3 0 2
2 2 1
3 0 1
0 3 0
2 2 3
1 2 1
3 3 1
3 3 2
1 0 0
10 3
3 2 0
0 2 3
0 0 0
1 3 0
2 0 0
3 0 1
0 1 0
1 0 0
3 3 3
1 1 3
10 4
3 0 3
2 1 0
0 2 1
0 3 2
1 2 1
2 0 1
0 1 0
3 2 3
1 3 0
0 2 3
10 2
3 1 3
3 3 1
2 3 3
2 1 1
1 1 1
2 3 0
2 0 3
1 0 1
1 3 2
1 3 3
10 9
0 2 1
2 0 2
2 2 0
0 0 0
2 1 2
2 0 0
1 2 1
0 0 1
2 1 0
1 1 0
10 4
1 2 1
0 2 2
2 2 2
0 1 2
0 1 1
0 0 0
2 0 1
1 1 1
2 0 0
2 2 0
10 9
3 0 2
0 2 3
2 0 3
2 2 1
3 0 0
3 3 3
2 2 2
1 2 1
0 3 1
3 2 2
10 4
2 2 2
2 2 1
2 0 1
2 1 2
2 1 0
1 2 1
1 0 1
1 1 0
0 2 1
1 0 0
10 7
0 1 2
1 2 0
1 2 1
0 0 1
1 1 2
1 1 1
2 2 2
2 0 0
0 2 1
1 0 1
10 3
0 1 1
1 1 0
2 2 1
1 0 1
2 2 0
2 0 2
1 1 1
0 1 0
2 1 1
2 1 0
10 2
2 2 0
1 0 2
0 1 1
1 2 0
0 2 1
2 1 1
1 2 1
1 1 2
2 0 0
2 0 1
10 2
1 2 3
2 3 1
0 1 3
3 1 0
0 0 2
2 3 3
0 3 2
0 1 1
1 1 1
2 1 0
10 4
0 0 1
1 2 2
0 0 2
1 0 3
3 0 0
0 1 2
1 3 1
1 1 1
3 3 1
0 0 3
10 8
2 2 2
1 0 0
1 3 3
3 1 3
0 3 0
0 3 2
2 1 0
3 1 1
0 2 1
2 0 2
10 5
0 0 0
3 1 2
0 2 0
2 0 0
2 2 3
2 0 2
1 1 1
3 2 3
2 1 2
3 1 1
10 4
3 3 1
1 3 3
3 2 2
2 3 0
2 2 3
0 3 3
0 1 1
3 3 2
0 2 2
1 0 3
10 6
0 2 0
2 0 0
1 2 0
2 0 1
2 1 0
1 0 1
0 0 0
0 2 2
1 1 0
1 2 2
10 3
2 3 1
3 0 3
3 1 2
2 1 3
2 2 3
1 3 1
0 1 2
0 3 3
3 0 0
2 1 1
10 6
0 2 2
1 2 2
1 0 0
0 1 0
2 0 2
1 2 1
0 2 0
0 0 1
2 0 1
0 2 1
10 5
0 1 2
1 0 2
1 0 0
2 2 2
2 0 2
2 0 1
2 0 0
1 0 1
2 2 0
1 2 1
10 7
1 0 0
0 0 2
2 2 2
2 0 3
2 2 1
1 1 3
1 0 1
3 3 2
2 1 3
3 2 3
10 7
2 0 0
0 3 3
0 0 2
3 1 0
3 2 2
1 3 2
2 1 2
2 2 3
3 3 1
1 1 2
10 2
2 2 3
1 0 1
2 0 3
3 1 2
0 1 0
1 1 3
2 0 0
3 3 0
2 3 2
0 1 1
10 3
0 0 3
3 0 3
1 0 1
2 3 0
1 3 1
1 0 3
0 2 2
0 3 1
2 1 3
3 0 1
10 3
2 2 2
0 0 1
3 3 3
2 1 3
2 1 2
2 2 0
0 2 2
0 3 0
3 1 2
0 2 3
10 8
2 3 0
1 3 2
0 0 1
1 0 2
3 3 3
2 3 3
0 1 0
2 3 2
0 3 0
2 1 2
10 6
0 0 0
1 0 1
0 1 0
1 2 0
1 0 2
0 1 2
2 1 2
2 0 0
1 0 0
2 1 0
10 9
1 0 2
0 0 1
1 0 0
0 1 1
1 0 1
2 1 0
1 1 2
2 0 2
1 2 0
0 2 2
10 2
3 1 3
3 3 0
3 3 1
1 0 2
3 2 2
0 3 3
0 2 1
1 2 2
3 0 1
0 0 3
10 6
3 1 0
1 3 0
0 3 1
1 3 1
2 2 3
2 1 1
0 0 2
0 2 2
2 2 1
0 1 1
10 8
2 1 0
0 0 0
0 1 2
1 0 1
0 2 2
1 2 0
2 2 0
2 2 2
2 2 1
2 1 1
10 8
2 1 1
0 0 0
1 0 2
1 0 0
2 0 0
1 1 2
1 1 1
0 2 1
1 0 1
2 2 1
10 2
1 2 2
0 0 2
1 1 1
0 0 0
2 2 0
2 2 1
1 0 0
0 0 1
2 1 1
2 0 2
10 2
2 1 2
1 1 1
0 1 0
1 1 0
2 0 0
2 0 2
1 1 2
1 2 2
0 0 0
0 2 2
10 7
0 0 2
1 2 0
2 0 2
1 1 0
0 1 0
2 2 2
2 2 0
0 2 2
2 0 0
0 1 2
10 9
2 2 2
0 2 0
0 1 2
2 2 0
2 1 0
2 1 2
0 1 0
1 0 1
0 0 0
2 0 0
10 9
0 0 2
2 2 0
0 2 1
2 1 0
0 1 0
0 1 2
1 1 0
1 0 0
1 1 1
0 2 2
10 5
1 2 0
2 1 2
0 0 1
2 2 1
0 1 2
1 1 1
0 2 2
0 0 0
2 0 2
1 0 1
10 9
1 3 3
1 0 2
2 1 2
2 0 1
1 3 2
0 0 2
0 1 2
3 3 0
0 3 3
3 0 1
10 4
2 2 0
0 1 1
1 0 2
1 2 1
0 1 0
2 1 0
1 1 1
2 1 2
0 0 2
2 1 1
10 3
1 1 1
1 2 2
2 1 2
0 0 0
0 2 2
1 0 2
0 2 1
1 2 1
0 0 1
1 0 0
10 6
0 0 1
2 2 0
2 1 2
2 2 1
1 1 0
2 1 0
1 2 0
1 2 1
0 1 0
2 0 2
10 3
2 0 1
1 0 1
0 0 2
0 2 2
0 0 1
0 1 1
1 2 2
0 2 1
1 1 1
0 2 0
10 5
3 1 0
0 1 1
1 3 1
2 1 0
3 0 2
2 2 3
1 3 3
1 0 0
1 1 2
1 3 2
10 5
1 0 2
0 1 0
1 0 0
2 1 2
1 1 1
0 1 1
2 0 2
1 0 1
1 2 2
1 1 2
10 2
3 0 1
3 3 2
3 2 1
2 3 1
1 2 2
0 2 3
1 0 1
2 0 1
0 0 0
1 2 0
10 5
0 1 2
0 0 1
0 0 2
2 0 1
0 2 0
1 1 2
2 1 1
0 2 1
1 0 1
2 0 2
10 8
1 0 0
1 0 1
2 1 1
0 2 0
2 2 1
2 0 1
2 2 0
0 2 1
0 0 0
2 0 0
10 7
2 0 1
2 1 1
2 0 2
0 0 1
1 0 1
0 2 0
1 0 0
0 0 0
0 2 2
0 0 2
10 8
0 0 2
3 2 3
2 1 3
0 1 2
3 2 2
0 0 3
1 3 3
1 0 0
1 2 0
1 1 2
10 8
1 0 1
3 0 1
3 2 3
3 2 2
0 3 3
1 0 0
2 3 3
1 3 1
0 1 1
1 1 3
10 9
2 1 3
2 0 2
1 0 0
0 0 1
0 2 2
0 2 0
1 0 1
0 3 3
3 3 2
3 0 2
10 7
1 1 0
0 1 1
0 2 0
1 2 2
2 1 0
2 0 1
0 0 0
0 2 1
0 1 2
1 0 0
10 5
0 0 0
0 1 0
1 0 2
2 0 0
0 1 2
2 2 2
1 1 0
0 0 2
1 2 1
2 0 1
10 2
3 3 0
2 3 3
3 2 3
0 3 1
3 3 1
2 2 1
3 0 3
0 2 1
1 2 0
1 0 0
10 8
1 0 1
0 1 3
0 1 1
1 3 1
3 3 1
0 3 0
2 3 3
0 3 1
0 0 2
1 2 1
10 9
2 0 2
1 0 0
0 1 2
0 0 0
2 0 0
0 2 2
0 0 2
0 2 1
0 0 1
0 1 0
10 2
2 1 2
1 0 0
0 3 2
0 1 1
0 3 0
0 0 3
0 2 2
1 1 0
1 3 1
3 3 2
10 5
3 0 1
1 0 1
0 2 2
3 2 0
1 1 3
2 3 3
0 3 0
1 3 1
3 2 1
1 2 1
10 4
1 1 0
2 0 1
0 0 0
1 1 1
0 1 0
1 0 2
1 0 0
1 2 1
2 2 0
2 0 0
10 4
0 2 1
0 1 0
1 0 0
2 2 0
1 1 1
0 1 1
1 0 2
2 0 0
2 0 1
0 1 2
10 2
2 2 2
2 3 2
1 1 0
3 2 2
0 1 0
3 2 1
0 3 1
1 1 1
1 3 1
3 0 0
10 3
3 2 1
0 0 2
1 3 1
1 1 1
2 3 3
1 3 0
1 2 0
0 1 0
0 0 3
3 3 1
10 7
0 2 3
3 1 0
0 3 2
2 0 3
3 0 2
3 1 3
1 2 2
3 2 1
3 0 1
1 3 0
10 8
2 1 0
3 1 2
0 0 1
2 3 0
1 2 0
1 3 2
3 2 3
2 1 2
3 3 0
3 1 0
10 9
1 0 1
1 1 0
2 0 2
2 1 0
2 1 2
2 1 1
2 2 2
1 0 0
1 1 1
1 1 2
10 9
1 0 0
2 1 0
0 1 2
2 0 2
0 2 0
1 2 1
2 1 1
0 1 0
1 2 0
1 0 1
10 9
2 2 0
0 1 1
2 0 2
2 0 1
1 1 0
1 2 1
2 1 2
1 2 2
2 0 0
2 1 0
10 5
0 2 0
0 2 1
0 1 0
1 2 1
1 0 2
1 0 0
1 2 0
2 0 1
0 2 2
1 1 1
10 2
0 1 1
2 1 0
1 1 2
2 1 1
0 0 2
1 2 0
2 2 2
0 2 0
0 1 2
0 2 2
10 6
1 3 0
2 2 0
3 0 2
1 0 1
3 2 3
3 2 0
3 0 3
1 0 2
1 3 3
3 3 0
10 3
3 3 3
1 1 3
0 1 0
2 1 0
0 0 0
2 2 3
3 2 3
1 0 2
0 3 1
0 2 3
10 8
0 3 2
3 0 3
3 1 0
3 3 1
3 2 3
2 1 1
2 3 3
2 2 3
2 2 2
2 0 3
10 9
0 0 0
0 1 2
2 1 2
0 2 0
1 0 2
0 0 1
1 2 0
0 0 2
1 0 1
1 2 2
10 2
1 2 1
1 1 1
2 1 1
0 2 0
2 2 0
0 2 1
2 1 0
0 0 2
0 1 0
2 2 1
10 4
0 0 2
2 0 1
1 1 3
3 1 1
3 2 2
3 1 3
3 0 2
3 0 0
2 1 2
1 3 0
10 7
0 1 2
2 0 0
1 1 0
1 2 0
1 0 0
1 2 1
2 1 2
0 0 0
0 2 1
1 1 2
10 4
0 0 1
0 2 1
1 0 2
2 2 1
1 1 1
2 1 2
1 2 0
0 1 1
1 2 1
0 2 2
10 2
0 2 2
1 1 0
0 1 0
0 0 0
0 0 1
1 2 1
2 1 1
0 1 1
2 0 1
1 0 0
10 4
3 0 3
2 3 1
0 3 2
0 2 1
3 1 0
1 0 3
1 0 1
1 0 0
2 1 0
1 3 1
10 6
0 1 1
0 2 1
0 1 2
2 2 1
3 1 2
0 3 3
3 3 3
0 0 2
3 3 0
0 1 0
10 9
1 1 2
0 2 1
0 1 0
0 0 1
2 0 2
2 1 2
0 2 0
0 1 2
0 1 1
1 2 2
10 6
2 3 0
2 3 1
1 3 2
3 1 3
1 0 1
3 2 1
3 3 0
1 1 1
1 3 1
3 3 3
10 6
2 2 2
1 1 3
0 2 2
3 3 2
2 0 0
0 2 1
3 3 1
3 2 1
2 2 3
2 0 2
10 2
3 2 3
1 2 1
1 3 1
0 3 3
3 1 0
1 3 0
3 2 2
3 3 2
0 2 2
1 0 1
10 2
0 3 2
3 2 3
2 0 2
2 2 1
3 1 3
1 0 0
0 2 3
3 0 0
0 1 3
2 1 3
10 7
2 0 0
2 1 1
0 1 2
0 1 0
0 1 1
0 0 0
2 0 2
2 0 1
1 1 0
2 2 2
10 7
0 3 3
2 3 2
0 3 1
1 1 2
1 1 3
1 0 2
1 2 0
0 3 2
1 3 0
3 3 1
10 8
2 2 2
2 1 1
2 2 0
1 2 1
2 3 3
0 0 1
2 2 1
1 3 3
3 3 2
1 0 0
10 9
3 2 2
3 3 2
1 3 1
2 0 2
3 3 3
2 0 0
2 1 2
0 0 2
0 2 1
3 2 0
10 3
1 0 2
0 3 0
1 1 1
0 2 0
2 3 0
3 1 0
0 3 3
2 0 2
1 1 0
1 0 0
10 5
0 2 1
1 2 2
0 0 0
2 0 1
2 1 2
2 1 1
2 2 2
1 1 1
2 2 0
1 0 2
10 9
0 1 2
1 2 0
0 0 1
2 1 1
1 1 1
2 0 1
1 2 2
0 2 0
2 2 0
0 0 2
10 4
1 1 1
2 1 0
0 1 0
0 2 0
0 2 1
1 0 2
0 0 0
2 2 0
2 1 2
1 1 2
10 5
1 0 3
1 2 3
1 2 1
1 0 1
2 2 0
1 1 3
2 0 2
2 2 1
2 3 1
0 2 0
10 4
2 2 1
0 1 1
0 1 0
2 1 2
1 1 2
2 0 2
0 1 2
2 0 0
1 2 1
1 0 1
10 5
1 0 2
0 0 2
2 2 1
2 2 2
0 1 2
2 1 0
1 1 2
2 2 0
2 0 1
0 1 0
10 4
0 1 3
3 1 2
0 1 0
1 1 3
3 3 0
1 2 2
2 1 2
0 2 1
3 2 2
2 3 1
10 3
1 0 3
2 2 1
1 3 3
2 1 3
1 3 2
3 1 3
2 3 3
1 1 2
2 3 0
0 1 2
10 3
2 0 0
0 0 0
2 2 1
0 1 0
0 0 1
1 2 0
2 1 0
0 1 1
2 0 1
2 1 1
10 4
1 2 1
0 0 1
2 1 2
0 1 1
1 0 0
0 0 2
2 0 1
0 2 1
2 2 1
1 2 0
10 3
2 3 0
3 1 3
0 1 3
3 0 1
0 2 0
3 2 0
0 1 0
2 1 1
2 2 1
0 3 2
10 8
1 0 1
0 2 0
1 0 2
1 1 2
2 2 0
1 2 2
2 2 1
0 0 0
0 0 1
1 1 0
10 9
1 0 0
0 0 2
2 1 2
1 0 1
0 1 2
1 1 0
1 2 2
2 0 2
2 1 0
1 1 2
10 7
2 0 3
0 3 2
2 2 0
1 2 1
2 2 3
2 3 1
2 2 1
1 3 3
1 2 3
0 1 1
10 6
2 2 0
0 3 1
1 0 2
1 2 3
3 0 3
1 1 2
0 1 1
3 1 0
3 3 1
1 3 3
10 3
2 1 0
1 2 3
0 1 0
3 2 1
0 3 1
1 0 2
3 1 3
3 0 2
0 2 2
3 1 2
10 2
0 2 0
0 2 2
1 0 1
2 1 0
1 2 2
0 0 1
0 2 1
2 1 2
1 2 1
0 0 0
10 2
2 0 1
0 0 1
0 1 0
1 2 0
0 2 2
1 1 1
1 0 1
0 1 2
1 1 0
2 1 2
10 3
2 0 1
2 1 2
1 0 2
0 0 2
1 0 1
1 2 0
0 2 0
0 2 1
1 2 2
2 0 2
10 7
2 0 1
0 0 2
1 0 2
0 0 0
0 1 1
0 2 0
2 2 2
1 1 1
0 1 2
1 0 1
10 9
3 1 3
0 1 0
1 3 3
0 0 3
3 1 1
0 3 3
2 1 3
0 1 2
1 1 1
0 3 1
10 6
2 0 1
1 1 1
0 0 0
0 0 2
1 1 2
2 1 0
0 2 2
0 1 2
0 1 1
1 2 2
10 4
1 3 0
0 3 2
2 0 2
1 1 3
3 0 0
2 3 3
0 2 1
2 1 2
1 0 2
0 0 2
10 3
1 3 1
0 0 3
3 1 2
3 1 3
3 0 2
0 0 0
0 3 2
2 2 3
1 0 1
0 0 2
10 6
2 0 1
1 1 2
2 1 1
3 1 2
3 2 2
3 2 1
2 3 3
3 3 1
1 1 0
1 2 0
10 4
1 1 3
2 1 0
2 3 0
0 1 3
3 1 3
2 0 3
0 2 3
3 0 2
3 1 0
3 1 2
10 2
2 0 0
1 2 0
0 2 3
2 2 2
0 1 3
0 0 3
0 1 0
0 0 1
2 1 1
0 3 0
10 8
1 2 0
2 1 0
2 1 2
2 2 2
2 0 2
2 2 1
0 0 0
0 2 2
1 0 0
0 1 1
10 5
3 1 2
3 1 1
0 3 0
1 3 2
0 2 2
1 1 3
3 2 1
0 3 1
1 1 1
1 2 3
10 9
2 2 2
2 0 1
1 2 2
1 0 1
0 2 1
0 0 2
2 1 0
2 1 2
2 2 0
2 0 2
10 5
2 2 2
1 0 1
1 0 0
2 1 2
0 2 1
1 2 1
1 2 2
2 0 2
1 2 0
0 0 1
10 7
0 1 0
1 0 0
0 0 2
0 1 2
2 0 0
2 2 1
2 1 2
0 2 0
1 1 0
2 0 1
10 2
0 3 0
2 3 1
3 1 1
1 2 1
3 2 0
0 0 1
3 1 3
2 1 3
1 2 2
3 1 2
10 3
2 3 1
0 0 3
2 3 2
1 2 2
3 3 0
1 1 1
1 0 1
1 0 3
1 0 2
2 1 1
10 4
3 0 0
3 1 0
1 0 2
0 1 0
2 2 3
0 3 0
0 0 1
3 1 1
3 1 3
0 0 0
10 5
2 0 0
0 0 2
2 1 0
0 2 1
0 0 1
1 1 1
1 2 1
0 2 0
2 1 2
2 2 2
10 7
2 0 1
1 2 0
2 2 0
2 2 1
2 1 2
1 1 2
0 0 0
0 2 2
1 2 2
2 0 0
10 3
0 1 1
1 0 2
1 1 0
0 0 2
2 0 0
2 2 0
1 2 0
1 1 1
1 1 2
2 1 0
10 9
0 2 0
3 3 1
1 0 2
1 0 1
3 3 3
0 3 1
3 1 0
1 0 3
1 3 1
1 3 3
10 7
2 3 2
1 3 3
1 2 2
0 3 2
0 0 1
3 2 2
0 2 2
2 2 2
2 1 2
2 3 3
10 9
0 1 1
0 2 0
2 1 1
0 0 0
1 2 0
0 1 0
1 1 2
2 1 0
0 0 2
1 1 1
10 7
0 1 0
0 2 0
2 2 1
1 0 0
2 1 0
1 2 2
1 1 0
0 0 1
0 1 2
2 0 2
10 7
0 1 1
2 1 2
0 2 2
0 0 0
2 0 0
1 1 1
2 1 0
0 1 0
1 0 1
0 0 1
10 5
1 0 1
2 1 0
3 1 3
0 2 0
2 0 0
1 2 0
2 2 0
3 1 0
2 0 1
0 1 0
10 7
0 1 0
2 2 0
2 1 2
1 0 1
1 2 2
0 2 2
2 0 1
0 2 0
0 0 2
0 0 1
10 3
2 0 2
0 2 2
1 1 0
1 1 1
0 0 1
0 1 2
0 1 0
0 1 1
2 2 2
2 2 0
10 6
0 2 0
1 0 0
0 1 0
1 1 2
1 1 1
2 0 2
0 0 1
2 1 0
1 2 1
0 2 1
10 2
3 1 3
0 1 1
0 3 1
1 1 0
0 0 0
0 0 3
2 2 2
1 2 3
0 2 3
2 3 1
10 6
1 1 2
0 0 1
1 2 2
0 2 1
1 0 1
1 1 1
2 0 1
2 0 2
2 2 1
2 1 0
10 3
1 2 1
2 2 2
1 1 2
1 0 0
0 2 1
0 2 2
2 0 0
2 0 2
0 1 0
1 1 0
10 5
3 1 1
0 2 3
1 3 3
1 2 1
0 3 2
0 1 1
1 2 2
1 1 3
2 0 0
2 0 1
10 8
0 2 2
0 1 1
2 1 0
1 1 1
0 2 1
0 0 2
2 0 1
2 2 0
1 0 1
1 1 2
10 5
1 0 1
2 1 1
3 1 2
2 2 0
1 3 0
3 1 3
0 3 3
2 3 1
1 1 2
3 3 0
10 5
2 2 1
0 1 1
0 2 2
2 0 0
1 0 2
0 2 0
0 1 0
2 1 1
2 1 2
0 0 0
10 4
2 2 1
2 0 0
1 0 2
1 2 1
0 1 2
1 1 2
1 0 0
0 0 1
0 2 1
0 2 2
10 9
1 1 0
2 0 3
2 3 2
0 0 1
1 1 2
0 1 3
2 1 2
1 3 2
0 2 3
0 0 0
10 6
2 1 1
0 2 1
1 1 1
0 1 1
1 1 0
2 2 2
2 0 0
2 0 1
0 2 0
2 0 2
10 2
2 2 0
0 3 0
0 2 1
2 0 3
1 2 1
3 0 1
2 2 2
1 0 2
3 1 1
1 1 3
10 6
1 1 1
0 1 2
1 2 1
2 0 0
1 0 0
2 0 1
0 1 0
1 1 2
1 1 0
0 0 0
10 4
0 0 2
2 1 1
2 2 1
0 2 2
2 0 0
2 0 1
0 0 0
0 1 0
1 0 0
0 2 0
10 8
2 0 2
0 0 1
0 0 0
1 2 2
1 1 2
0 2 0
0 1 1
0 2 1
0 2 2
1 0 2
10 6
0 3 2
3 1 0
0 2 2
1 3 1
1 3 0
3 0 0
0 2 1
2 3 2
1 3 2
2 1 3
10 2
0 2 1
0 0 1
1 0 2
0 2 0
2 1 1
1 2 0
1 2 2
0 2 2
1 0 1
2 0 2
10 7
1 2 1
0 0 2
2 0 1
2 0 2
1 2 0
0 0 0
1 0 1
2 2 1
0 2 2
2 1 1
10 5
2 0 0
1 1 1
2 0 1
2 1 2
0 2 0
2 2 2
1 1 0
1 0 1
2 1 1
0 0 0
10 7
3 0 1
2 3 2
1 1 0
2 2 2
0 3 2
3 0 2
0 1 3
0 1 2
3 2 3
0 0 1
10 4
0 2 1
2 0 2
0 3 3
3 0 1
2 0 0
2 0 1
2 2 2
3 2 0
3 1 1
0 2 3
10 9
1 0 1
1 0 2
2 1 0
1 2 0
0 0 2
0 2 1
2 0 0
2 2 0
2 1 2
0 0 0
10 7
0 1 0
1 1 0
3 1 1
2 0 2
1 0 2
1 3 1
2 3 0
0 2 3
1 0 0
1 0 1
10 9
2 1 2
0 1 1
2 2 0
1 1 2
2 1 1
1 2 0
1 0 0
0 0 1
1 2 1
0 0 0
10 3
0 2 0
1 1 0
2 0 0
1 0 0
0 0 2
2 2 2
1 1 1
0 0 1
1 1 2
0 0 0
10 3
0 0 0
0 0 2
2 0 1
1 0 2
2 1 0
2 0 0
1 1 1
1 2 1
2 1 1
1 0 0
10 7
1 1 1
0 1 0
0 0 0
1 2 1
1 2 2
0 0 2
2 2 1
2 2 2
1 0 2
0 2 0
10 9
0 0 1
2 2 0
0 0 2
2 1 0
1 0 0
1 0 1
1 1 1
0 2 1
0 2 2
1 1 2
10 2
0 0 2
2 2 2
1 2 1
2 1 1
0 0 1
1 0 0
1 2 2
1 0 1
2 0 0
1 1 2
10 2
0 1 1
0 1 0
2 1 0
2 0 0
0 2 0
0 0 0
0 0 2
0 1 2
1 0 2
1 1 0
10 5
2 3 3
1 0 2
3 2 3
3 3 1
1 2 1
3 1 2
3 2 1
0 2 1
2 3 2
0 2 0
10 5
1 3 1
2 2 2
0 0 3
0 0 2
3 0 2
1 1 1
1 1 2
0 3 0
0 3 1
2 0 2
10 3
3 1 3
0 1 3
0 3 1
3 3 2
0 0 3
2 0 2
1 0 3
0 2 0
0 1 0
1 1 3
10 8
1 0 1
2 2 1
2 0 0
1 2 1
0 2 1
1 0 0
0 0 0
0 1 2
0 0 2
2 1 0
10 2
1 0 2
2 0 2
1 2 0
0 2 1
0 0 0
2 2 1
0 2 2
0 1 0
2 2 2
2 1 1
10 8
2 0 1
1 1 0
2 2 1
0 2 0
0 1 1
1 0 2
0 0 2
1 0 1
1 2 2
1 2 0
10 3
2 2 1
2 1 1
2 1 2
1 1 0
0 2 2
1 1 2
1 2 1
0 1 2
2 2 2
1 0 1
10 2
0 2 1
0 0 2
2 2 0
0 2 2
1 1 1
2 0 1
1 0 1
0 0 0
2 2 2
0 0 1
10 7
0 2 2
2 2 1
0 0 0
1 0 0
1 0 2
0 1 2
0 2 1
2 1 2
1 1 1
2 2 0
10 2
0 1 3
3 2 0
3 3 0
3 1 1
2 0 1
0 2 1
2 1 1
0 0 2
1 1 2
2 2 2
10 4
2 1 0
2 2 1
0 1 2
2 0 1
2 0 0
0 2 1
1 2 1
0 2 2
1 0 2
2 1 1
10 8
2 1 0
1 3 1
0 1 1
3 2 1
3 1 1
3 2 2
1 1 2
3 0 0
3 3 0
2 2 2
10 8
0 1 1
0 0 0
2 1 1
1 2 1
0 1 0
2 2 2
1 0 1
1 0 0
0 0 1
0 0 2
10 6
0 2 2
0 0 0
1 1 1
0 0 1
1 2 2
1 2 0
2 0 2
2 1 2
2 1 1
2 0 0
10 4
0 0 0
3 1 1
3 3 2
1 1 3
3 0 3
3 3 1
2 2 3
3 1 2
0 2 3
2 3 1
10 3
1 2 3
3 2 3
3 0 3
3 2 0
2 2 0
2 2 2
2 1 0
3 1 0
0 3 2
1 2 0
10 6
0 0 0
2 1 2
1 1 2
2 2 1
2 0 1
1 2 2
1 1 0
2 2 2
1 1 1
1 2 0
10 3
1 1 2
0 0 2
1 1 1
2 2 2
0 1 1
1 0 0
0 0 0
0 2 2
2 0 2
2 0 1
10 3
0 0 2
1 0 0
1 1 0
0 0 0
1 1 2
0 1 0
1 1 1
1 0 1
0 1 2
0 0 1
10 4
0 0 1
0 2 2
2 2 0
0 2 0
1 0 2
0 1 0
1 0 0
2 2 1
1 1 1
2 0 2
10 2
0 1 0
2 0 1
0 3 3
3 3 1
3 0 3
0 1 1
0 0 3
2 2 0
1 3 0
2 2 2
10 5
2 2 0
3 2 1
1 1 2
1 3 1
3 1 3
3 2 2
3 3 3
1 0 3
1 3 0
3 1 1
10 6
2 0 2
0 2 3
0 1 0
1 3 3
3 1 1
2 0 0
3 3 2
0 3 2
1 1 3
2 0 1
10 3
1 1 1
0 0 0
2 2 0
1 2 2
2 1 2
0 1 1
0 2 1
2 0 2
2 1 0
0 0 1
10 8
1 0 0
1 0 2
2 1 0
1 2 0
0 0 2
2 2 2
2 1 2
0 2 2
0 1 0
1 1 0
10 8
0 3 3
1 3 0
3 2 2
2 2 3
3 0 1
3 0 0
3 3 0
3 0 2
2 0 0
3 2 0
10 9
0 2 0
1 2 2
2 1 2
2 0 1
0 1 1
1 0 2
2 0 0
1 2 0
2 2 0
0 0 2
10 3
2 1 0
2 2 1
2 0 2
0 1 0
1 0 2
1 2 2
1 0 0
2 0 0
2 1 2
1 1 0
10 7
2 2 0
0 2 2
2 1 1
1 0 0
0 0 0
1 1 2
1 2 0
0 0 1
0 0 2
0 1 1
10 9
0 1 1
2 1 1
0 1 2
1 2 2
2 0 2
0 0 1
0 1 0
2 0 1
1 0 2
1 1 2
10 9
1 1 0
0 1 1
0 2 1
0 0 2
1 2 0
1 1 1
0 1 2
0 0 0
2 2 0
0 2 0
10 2
2 2 2
2 3 3
1 0 1
0 2 2
2 2 0
0 3 3
0 2 0
0 3 1
1 3 0
0 2 1
10 4
2 1 2
0 1 3
0 2 1
3 1 1
0 3 1
1 1 3
0 0 3
2 1 3
1 0 0
1 2 2
10 5
1 0 2
2 0 1
1 2 0
2 0 0
0 2 2
1 1 1
0 0 1
0 1 1
0 2 1
0 1 0
10 3
2 2 1
1 1 0
1 1 2
0 2 2
2 1 0
0 1 1
0 0 1
0 1 0
2 1 1
2 0 1
10 8
2 1 1
1 2 0
2 2 0
1 2 1
1 0 2
1 0 0
1 0 1
2 2 2
0 0 0
0 0 2
10 2
2 1 0
1 1 0
2 1 1
0 0 2
0 1 0
1 0 2
0 2 0
1 0 0
0 0 0
2 2 0
10 4
2 1 1
1 1 1
1 1 0
3 2 3
1 0 0
2 3 2
2 2 3
2 2 1
0 3 2
1 3 1
10 5
1 1 0
2 0 2
0 0 0
0 0 2
2 0 1
1 1 1
1 1 2
0 1 1
0 1 2
0 2 0
10 3
3 3 0
2 1 0
0 1 3
1 3 0
2 1 3
2 1 1
2 0 3
1 0 1
1 2 0
0 0 1
10 2
1 0 2
2 2 2
0 0 2
1 2 1
2 0 2
2 1 2
2 0 1
2 2 1
1 1 0
0 2 0
10 8
1 2 2
0 0 3
1 2 1
3 1 3
0 3 1
1 1 0
2 1 2
3 1 0
0 2 1
2 2 1
10 8
0 0 2
2 2 0
0 1 0
2 2 2
1 1 1
0 0 1
1 0 2
2 0 2
1 0 0
1 2 1
10 6
0 1 0
0 0 1
0 0 2
1 2 1
1 0 2
1 2 0
1 0 1
2 2 2
2 1 2
1 1 2
10 9
0 1 0
2 2 0
0 0 2
0 1 2
0 2 2
2 2 1
1 0 0
1 1 2
0 2 0
2 1 0
10 3
2 2 1
1 2 2
2 1 3
3 3 2
3 0 2
3 0 1
1 2 0
3 2 0
3 0 0
0 2 3
10 6
1 0 1
2 1 1
1 0 2
2 1 2
1 1 2
0 0 1
1 2 2
1 1 0
2 1 0
1 2 0
10 4
1 1 3
0 1 0
1 0 1
3 0 3
3 2 2
2 2 0
1 0 2
1 3 3
0 3 1
2 3 1
10 9
2 0 1
3 2 3
3 0 2
2 3 3
2 2 0
1 3 1
2 2 3
0 2 1
0 2 0
1 3 0
10 3
1 0 0
0 1 0
1 2 1
0 1 2
1 1 1
2 0 0
1 2 0
2 0 1
2 2 1
1 1 2
10 2
0 1 0
2 2 0
1 0 1
1 0 0
2 0 0
2 1 0
0 0 0
1 2 2
1 1 1
1 1 0
10 8
3 0 2
3 3 0
0 2 1
3 0 1
2 1 2
0 1 0
2 3 0
3 2 1
0 0 2
2 2 0
10 3
0 1 0
3 2 3
2 3 2
3 1 2
3 1 1
2 0 1
3 2 2
0 2 3
1 3 3
0 1 1
10 3
1 1 0
0 0 0
1 2 1
2 0 0
1 2 2
0 1 2
0 0 2
1 0 1
0 1 0
1 0 2
10 9
2 0 2
0 1 1
2 1 1
1 0 2
1 2 1
1 2 0
2 2 2
0 2 2
2 2 1
1 0 0
10 9
2 3 1
3 3 1
1 0 1
1 2 1
3 0 3
2 1 0
3 3 0
1 3 2
3 1 0
1 3 3
10 3
1 2 2
2 2 2
1 0 0
0 3 1
0 1 0
3 0 1
3 1 3
2 1 1
0 2 1
0 3 0
10 8
2 0 0
2 2 2
0 1 2
1 1 1
2 2 0
1 0 1
0 2 1
0 1 1
0 1 0
1 1 0
10 3
1 0 1
2 0 2
2 2 2
0 0 0
0 1 2
1 0 2
1 0 0
0 2 0
2 2 0
1 1 1
10 5
1 0 1
2 0 1
2 2 0
0 3 2
1 0 3
3 2 3
3 1 3
0 2 2
2 1 3
0 0 1
10 2
0 0 2
2 1 1
1 0 1
0 1 0
0 2 1
1 1 1
2 0 2
0 2 2
0 1 1
1 1 0
10 6
1 2 1
0 3 0
3 2 1
2 1 0
1 0 1
1 3 0
0 3 2
2 1 3
2 3 2
2 3 0
10 8
1 1 0
2 1 2
0 2 2
0 0 0
0 2 1
1 2 0
1 1 2
0 0 2
0 1 2
1 0 2
10 5
1 2 0
1 1 1
2 2 2
0 2 0
1 0 0
0 0 0
0 2 1
1 0 1
2 1 1
0 0 1
10 8
0 2 1
0 1 0
1 2 0
0 1 2
0 2 2
2 2 1
2 1 1
1 1 0
2 1 0
1 1 1
10 6
1 0 2
1 0 0
0 1 2
2 2 1
2 2 0
0 2 2
1 2 0
2 0 0
1 0 1
0 0 0
10 7
2 0 2
1 1 1
0 0 0
0 0 1
1 1 2
1 1 0
0 2 2
2 0 0
1 2 0
2 1 0
10 7
1 2 0
1 0 0
0 1 2
0 2 2
0 2 0
2 2 0
1 2 2
1 0 1
0 1 0
2 0 2
10 6
3 1 1
3 1 3
2 0 1
0 3 0
2 2 0
1 1 0
1 2 1
1 3 0
2 1 3
1 3 1
10 9
1 0 0
3 0 3
3 1 1
0 2 2
1 3 0
2 3 1
3 1 0
3 3 2
3 1 2
0 3 3
10 6
1 0 2
1 2 0
1 2 2
0 0 3
1 2 3
2 0 3
0 1 1
2 2 2
0 3 0
1 2 1
10 4
1 0 2
2 0 0
2 2 1
2 1 1
2 2 2
1 1 1
2 2 0
1 0 1
0 2 2
0 2 1
10 8
2 1 2
2 1 0
1 0 1
2 0 0
0 1 0
2 0 2
2 2 1
1 1 0
0 2 0
0 2 1
10 3
1 2 0
0 3 0
2 0 3
1 1 3
3 3 3
0 3 2
3 0 2
3 1 1
3 0 0
2 1 3
10 3
0 1 0
2 1 2
2 0 0
2 2 3
3 2 2
1 1 1
3 1 3
1 3 3
1 1 2
1 3 2
10 7
1 2 0
0 1 0
2 2 1
2 2 0
0 1 1
0 2 1
1 2 1
0 2 0
0 0 0
0 0 2
10 5
2 1 2
1 2 3
2 2 0
0 3 3
1 2 2
0 2 3
0 3 2
0 1 1
0 1 2
3 3 2
10 9
2 0 2
2 0 1
0 2 1
2 1 1
0 1 2
1 2 0
1 0 1
0 1 0
2 1 0
0 2 0
10 2
1 1 3
0 3 0
0 2 2
0 0 2
1 2 3
1 1 1
3 0 0
3 3 3
3 1 1
2 1 3
10 8
1 1 1
1 3 3
1 1 3
2 3 3
1 2 3
0 0 1
2 0 0
3 2 2
1 2 1
2 2 0
10 2
0 3 3
0 1 3
1 0 0
1 2 3
2 0 1
3 3 2
0 2 0
1 1 1
3 2 0
2 0 3
10 2
0 2 1
0 1 0
1 0 1
0 0 0
1 1 1
2 1 2
2 0 0
1 1 2
2 0 1
1 2 0
10 3
1 2 1
1 2 2
1 1 1
0 1 0
2 0 1
0 2 0
0 2 2
2 2 1
2 1 0
1 0 2
10 7
1 0 2
0 1 0
3 2 2
2 3 1
2 3 0
1 1 1
3 3 1
2 3 3
2 1 3
3 1 0
10 2
1 0 2
3 0 1
3 2 0
0 2 1
3 1 1
1 2 1
1 2 2
2 2 3
2 3 2
2 2 1
10 7
0 2 3
2 3 2
0 0 3
1 1 0
3 1 3
0 3 1
1 2 2
1 1 3
2 0 1
2 3 1
10 2
1 3 0
2 0 0
3 2 0
1 1 0
0 0 2
0 1 2
1 0 2
1 0 3
2 2 1
2 1 0
10 4
3 0 0
1 0 1
3 0 3
1 3 3
0 1 2
1 2 3
2 1 1
1 0 3
1 3 2
3 2 1
10 2
3 0 2
2 1 3
3 2 2
1 0 0
0 2 1
0 0 0
2 0 3
1 3 1
2 3 3
1 0 1
10 3
1 0 2
2 2 1
1 2 2
1 2 0
0 2 0
2 0 0
0 1 0
1 0 0
0 0 2
1 1 2
10 4
2 1 3
3 1 0
2 2 2
0 1 1
3 2 1
0 3 3
0 1 0
2 2 1
1 0 2
3 3 3
10 5
1 1 2
0 2 1
1 2 2
0 1 1
0 1 0
1 2 1
2 2 2
2 0 0
2 2 1
1 2 0
10 8
1 1 2
1 0 0
0 0 2
0 0 0
0 2 2
2 2 1
0 2 1
2 0 0
1 1 1
0 0 1
10 9
1 0 2
1 0 1
1 2 1
0 2 2
0 1 1
1 1 0
1 0 0
0 2 1
2 0 0
2 0 2
10 4
1 0 1
2 1 0
3 0 0
3 1 1
1 1 3
0 0 3
1 2 2
2 1 1
2 1 2
3 2 2
10 3
2 1 1
0 1 0
0 1 1
1 1 0
2 0 0
2 1 2
2 1 0
0 2 1
1 0 0
1 1 2
10 9
2 2 1
2 0 1
2 2 2
3 2 3
0 1 3
0 0 1
0 2 2
1 2 1
1 0 0
1 0 2
10 2
1 1 0
0 2 1
1 2 1
1 1 1
2 2 0
2 1 0
0 1 1
0 1 0
0 0 2
0 2 2
10 9
1 1 2
1 0 0
3 1 1
0 1 3
2 3 3
0 3 2
3 0 1
3 2 0
2 0 3
0 0 3
10 2
0 0 0
2 2 2
2 1 2
1 0 2
1 1 0
0 0 2
1 2 0
0 0 1
2 0 0
1 1 2
10 3
1 2 2
0 1 2
2 0 2
0 2 1
2 1 0
2 2 0
1 0 2
2 0 0
0 0 2
0 0 0
10 6
0 2 2
0 3 0
3 3 0
2 0 0
2 0 2
2 1 1
0 3 1
3 2 3
1 0 1
3 3 2
10 4
0 2 2
0 1 1
1 1 2
0 2 1
1 1 0
0 2 0
1 2 1
1 0 0
1 2 2
2 0 0
10 9
0 2 2
2 3 0
2 0 1
1 2 2
1 0 1
3 2 3
1 3 0
1 2 0
2 0 3
2 2 0
10 6
1 0 2
2 3 0
2 3 1
3 3 3
0 1 3
2 2 0
3 0 0
1 2 3
3 3 0
2 0 0
10 5
0 2 1
0 0 1
0 2 2
1 0 1
2 1 0
0 0 2
0 0 0
1 2 0
2 0 1
2 2 1
10 7
2 2 2
2 1 2
1 2 2
2 1 1
1 2 1
1 1 1
0 0 2
0 2 1
2 0 1
0 0 0
10 2
3 2 0
3 3 0
1 2 3
1 0 3
2 0 0
1 0 2
3 1 1
1 3 0
2 1 1
0 1 1
10 9
3 1 2
2 0 0
3 3 1
1 1 3
3 3 2
1 0 3
0 1 0
2 0 1
3 2 2
0 1 1
10 2
0 2 1
2 1 2
0 1 1
2 2 0
2 0 2
0 1 0
1 0 1
1 2 2
0 1 2
0 2 2
10 8
0 0 0
0 1 2
1 0 0
1 2 1
2 1 0
2 0 1
1 0 1
1 1 2
2 2 0
1 2 0
10 6
0 2 0
2 1 2
0 1 1
1 1 2
2 0 0
1 1 0
1 2 0
1 1 1
2 2 2
0 0 1
10 7
1 1 2
2 3 2
3 0 3
0 3 0
3 1 0
1 2 3
3 3 2
2 3 0
3 1 2
0 2 3
10 4
3 3 2
0 2 1
0 2 3
1 3 1
3 0 2
1 3 3
1 1 3
1 1 2
3 1 1
1 2 2
10 6
3 2 2
2 0 0
1 1 2
1 0 3
3 2 3
0 2 2
2 1 2
1 2 1
2 2 1
3 1 2
10 5
1 1 0
0 2 3
3 2 2
3 1 3
2 1 2
2 1 0
3 2 0
3 0 1
2 2 1
2 3 3
10 7
1 1 1
2 2 0
1 1 2
0 0 2
2 0 2
2 0 0
0 2 1
1 2 0
2 2 2
0 0 1
10 2
1 2 3
3 1 0
3 3 1
3 1 2
0 1 1
2 3 2
2 3 3
0 2 1
1 1 0
2 0 0
10 8
0 3 2
3 1 3
0 2 0
2 0 3
0 3 0
2 3 3
3 1 2
3 1 0
3 0 3
2 1 2
10 6
1 1 2
0 2 2
2 0 0
3 2 2
0 3 2
2 3 1
3 2 1
2 2 3
2 0 2
0 3 0
10 4
1 0 0
1 0 2
2 1 2
0 0 1
1 2 1
1 1 0
0 1 1
2 1 0
0 2 2
1 1 2
10 5
3 3 3
3 1 2
2 1 3
2 2 3
1 2 3
0 2 1
2 1 1
3 2 2
0 3 1
1 0 1
10 4
0 2 1
1 2 2
2 2 2
2 2 1
1 2 0
0 2 2
2 0 1
0 1 2
1 1 0
2 2 0
10 2
1 1 1
2 1 2
2 0 0
0 0 2
1 2 2
1 0 2
2 2 0
2 0 1
0 2 1
0 2 0
10 2
2 1 2
0 2 0
2 0 2
1 1 0
1 0 2
0 2 1
0 0 2
2 1 1
0 0 1
2 2 1
10 4
0 2 0
2 3 2
3 2 0
2 0 1
3 0 2
0 1 2
2 2 2
1 1 3
0 3 0
1 1 0
10 8
0 1 2
1 0 1
2 0 2
0 1 0
1 1 1
0 1 1
2 0 0
2 2 0
2 1 1
1 2 1
10 6
2 1 2
1 3 2
3 1 0
2 2 1
1 2 1
1 2 0
2 0 3
3 0 2
2 3 3
3 1 1
10 2
1 0 0
2 2 1
1 1 1
0 0 2
2 2 0
2 0 1
2 0 0
1 2 2
1 0 1
0 1 2
10 4
0 2 0
2 0 2
1 1 0
0 2 2
0 1 0
1 2 2
2 2 0
0 2 1
2 2 1
2 2 2
10 9
0 2 1
0 3 1
2 0 3
2 1 3
3 0 0
3 2 1
0 1 1
3 3 1
1 2 2
2 1 1
10 5
0 1 2
2 1 1
0 1 0
2 1 2
0 0 3
2 2 2
2 2 1
1 2 0
0 0 0
2 0 2
10 9
1 1 0
2 1 1
0 2 2
0 0 0
2 0 0
2 1 2
1 2 1
0 2 0
1 2 0
0 2 1
10 9
1 0 1
2 1 1
0 1 2
0 0 0
2 2 1
1 1 0
2 1 0
2 1 2
2 2 0
0 2 2
10 3
0 1 0
0 2 1
0 0 1
2 0 0
1 2 0
0 2 0
1 0 1
2 1 1
0 2 2
2 0 2
10 3
1 0 0
0 1 0
1 1 0
2 0 1
2 2 2
1 2 0
1 0 1
1 1 2
1 2 1
2 1 2
10 8
1 3 2
0 3 0
3 2 3
0 0 1
3 1 0
1 2 2
2 0 1
3 3 2
2 3 3
3 3 1
10 2
2 3 1
1 2 2
3 1 1
0 1 0
3 2 2
0 2 1
0 3 2
3 0 2
1 2 3
1 1 2
10 7
0 1 2
2 2 2
0 1 0
2 0 2
0 2 2
1 2 0
2 1 0
2 0 1
2 1 2
1 0 1
10 6
2 1 1
0 2 1
1 1 0
0 2 2
0 0 2
1 0 1
2 0 1
2 0 0
1 0 0
2 2 2
10 7
0 2 0
2 1 2
0 0 2
0 0 1
2 2 2
0 0 0
0 1 2
0 2 1
0 1 0
1 2 0
10 8
1 0 1
0 2 2
2 1 0
0 2 0
0 3 2
3 3 1
2 1 1
3 1 0
2 1 2
2 3 2
10 5
2 2 3
1 0 3
2 0 0
3 1 3
3 3 3
2 3 0
1 3 1
2 0 3
1 3 3
2 1 3
10 4
2 0 2
0 2 1
1 1 1
0 0 0
0 1 0
2 2 1
0 1 2
2 1 2
0 0 1
1 0 1
10 7
0 3 0
1 1 2
0 0 0
1 0 2
2 1 1
2 0 2
3 2 2
3 0 3
2 0 3
2 3 3
10 6
2 1 2
0 1 0
1 2 2
0 2 2
1 0 0
2 2 0
1 0 1
2 2 1
2 0 0
0 0 0
10 2
1 0 3
3 0 0
0 1 2
1 1 0
1 3 3
3 0 2
2 2 3
2 2 2
3 2 1
0 2 3
10 9
0 3 0
2 2 1
0 1 2
3 1 3
2 1 2
0 0 3
3 2 1
3 3 1
3 2 2
2 2 0
10 9
1 1 2
1 2 2
1 0 0
1 0 1
2 0 2
1 0 2
0 2 2
2 1 1
0 2 1
0 2 0
10 9
0 2 2
2 2 2
2 2 0
0 2 0
2 1 2
0 1 0
0 1 2
1 0 1
2 1 1
0 0 2
10 6
2 2 2
0 0 3
1 0 3
0 1 0
1 2 0
2 2 3
2 3 0
1 0 2
1 3 3
3 1 1
10 7
2 1 1
0 2 1
3 1 2
0 0 0
2 0 1
0 0 1
1 1 1
3 2 3
2 3 1
1 1 0
10 8
0 2 0
1 2 1
2 0 0
0 2 1
1 2 0
2 1 2
2 2 2
1 1 2
1 0 0
0 0 0
10 9
2 2 0
1 1 1
1 0 2
1 1 0
0 0 0
0 0 1
2 0 2
0 2 1
2 2 2
1 0 0
10 6
1 0 0
2 3 0
3 2 1
1 1 3
1 3 3
1 1 0
3 0 3
2 2 3
2 2 2
0 2 0
10 8
1 3 3
3 2 0
1 0 0
1 0 3
3 0 3
2 3 1
3 3 2
0 2 3
2 0 1
2 3 3
10 2
1 1 0
0 1 2
0 0 2
2 0 1
1 2 1
2 0 0
0 2 0
0 0 1
1 0 1
1 2 2
10 7
1 1 0
0 1 1
1 0 2
1 1 2
1 2 2
2 0 0
0 0 2
2 2 2
2 2 0
0 0 0
10 2
2 3 3
1 2 1
2 0 2
3 3 3
3 0 0
2 3 2
2 1 0
0 3 3
1 3 1
2 2 0
10 9
3 2 3
2 2 1
0 3 2
2 0 2
0 0 0
1 3 0
3 0 0
2 2 0
2 1 3
1 2 0
10 9
1 1 0
0 2 1
2 1 1
0 2 0
2 2 2
2 0 0
1 2 0
2 2 1
2 1 2
0 0 1
10 9
2 0 1
1 2 2
0 1 0
2 1 0
1 1 2
1 1 1
2 1 2
2 0 2
0 2 1
0 0 1
10 9
1 1 2
2 0 2
0 0 1
2 2 0
0 1 0
2 2 2
1 1 1
1 2 0
0 0 2
1 0 2
10 4
1 0 2
2 0 2
2 3 2
0 2 2
1 3 3
3 1 2
0 2 0
2 0 3
1 1 0
1 0 1
10 7
1 2 3
2 3 0
2 0 3
2 0 0
0 1 2
2 3 1
0 2 3
0 2 1
0 0 2
1 1 1
10 8
2 0 2
0 2 1
0 1 2
1 0 1
0 2 2
1 1 1
2 2 2
0 2 0
1 0 2
1 2 1
10 8
1 1 1
2 2 3
1 3 0
0 0 1
1 3 2
0 0 2
2 3 0
3 2 0
3 0 2
3 2 1
10 7
1 1 0
0 0 2
2 2 1
0 1 2
2 2 0
1 1 1
0 2 0
1 0 1
2 2 2
0 2 1
10 6
0 2 1
0 2 0
0 1 1
0 0 0
1 2 1
2 2 2
1 1 2
2 0 1
0 1 2
0 0 2
10 2
2 0 0
1 1 2
0 2 1
1 1 0
0 0 2
0 1 1
0 2 2
2 2 0
1 0 1
2 1 1
10 8
0 1 2
2 1 2
0 2 2
0 2 0
2 0 0
0 0 0
0 1 1
2 0 1
0 1 0
2 1 1
10 3
2 2 0
1 2 2
2 0 0
0 2 1
1 1 0
0 1 0
1 2 1
0 2 2
2 1 1
1 2 0
10 9
2 0 0
2 3 2
3 1 2
1 2 0
2 1 0
0 1 2
1 0 2
3 0 1
0 1 3
3 1 0
10 5
0 3 0
2 2 3
2 3 1
0 1 3
1 0 0
3 0 1
2 1 2
1 1 2
1 1 3
3 2 3
10 9
1 2 3
1 1 2
1 3 1
0 2 3
3 1 0
3 2 0
2 0 1
2 1 2
3 2 1
1 0 0
10 6
2 2 2
1 1 2
1 2 1
1 2 0
2 2 1
1 1 0
2 2 0
2 1 0
0 2 1
2 1 1
10 7
2 0 1
0 2 2
2 1 2
1 1 2
1 2 2
0 0 2
1 0 0
2 0 2
0 1 2
2 2 0
10 3
1 2 0
1 2 1
0 0 1
2 2 0
1 0 0
1 2 2
1 0 1
2 1 2
1 1 1
0 0 2
10 6
1 0 0
3 1 3
0 3 0
0 0 3
3 2 0
0 0 0
1 2 2
3 2 1
3 3 2
1 2 1
10 4
2 2 1
2 0 1
0 1 2
0 0 1
2 1 2
1 1 1
0 1 1
1 0 0
2 1 1
1 0 2
10 9
0 2 1
3 0 2
2 1 2
3 2 2
1 0 3
1 3 1
0 2 2
0 1 3
0 2 0
0 0 1
10 9
0 0 2
0 1 1
0 2 2
2 1 0
1 0 2
1 0 1
0 0 1
2 0 2
2 0 0
0 2 1
10 8
1 1 1
2 3 1
2 2 3
0 2 2
1 3 1
2 0 2
3 3 1
0 1 3
3 3 0
2 3 2
10 6
2 3 2
2 0 0
3 1 1
2 2 1
3 2 3
3 0 0
0 0 2
3 3 2
2 1 3
0 1 2
10 6
2 2 2
3 1 2
2 3 3
1 3 1
1 1 2
1 0 3
0 2 1
2 3 1
0 1 0
2 2 1
10 4
3 2 2
0 1 3
2 0 3
2 1 1
1 1 2
0 3 1
3 0 1
1 1 0
1 0 2
3 1 0
10 7
1 3 1
0 2 0
1 0 1
1 3 2
2 0 1
2 1 2
0 2 2
0 1 0
2 1 1
0 3 3
10 2
0 2 0
2 2 3
1 0 0
0 1 2
2 3 1
3 1 1
1 1 3
3 2 2
0 1 0
3 2 0
10 8
2 2 2
0 2 1
1 0 0
0 2 0
1 1 1
0 0 0
1 0 2
2 0 2
2 0 0
1 2 0
10 4
2 2 2
1 0 0
1 2 2
2 1 2
1 0 2
0 0 0
2 1 0
1 2 1
0 2 0
0 0 2
10 4
0 1 2
1 0 0
2 0 2
2 2 1
2 1 1
2 0 0
2 2 2
1 2 2
1 1 2
0 0 2
10 3
0 1 1
3 3 1
0 1 0
3 3 2
2 2 3
0 3 2
1 3 1
2 3 0
1 2 0
1 0 1
10 8
0 1 2
2 0 1
1 0 0
0 2 2
1 2 1
0 1 1
0 1 0
1 2 0
2 1 2
2 0 0
10 2
2 0 0
3 0 3
3 2 3
2 0 1
3 2 1
0 0 0
3 3 1
0 3 3
2 3 2
0 1 2
10 6
1 2 0
0 0 1
1 2 2
1 1 1
0 2 2
1 1 0
0 1 1
2 1 0
1 0 1
2 1 2
10 3
0 0 2
2 2 0
2 2 2
1 0 1
0 2 1
0 2 0
0 1 0
2 1 1
2 0 0
1 1 2
10 3
1 2 0
2 2 0
0 0 0
0 0 1
3 0 2
0 3 0
2 1 1
2 2 3
1 0 1
3 0 0
10 5
3 1 1
2 1 2
0 1 0
0 0 0
3 3 3
2 2 2
2 3 1
0 3 2
2 3 3
2 3 0
10 3
3 2 2
1 0 3
2 1 3
0 3 3
3 3 2
0 0 2
2 1 1
3 0 0
2 2 0
3 1 2
10 7
1 0 0
2 0 1
0 1 1
0 1 0
2 0 0
0 0 0
1 2 0
2 2 1
2 0 2
2 2 2
10 6
1 0 3
0 1 3
0 0 2
0 2 0
2 0 2
1 3 3
3 2 1
2 2 3
2 0 1
0 2 3
10 3
2 2 0
1 1 0
1 0 1
1 0 2
0 2 0
2 1 0
0 0 0
1 1 1
2 2 2
2 1 1
10 6
2 2 2
3 1 0
3 0 1
1 2 2
1 2 1
2 1 2
1 3 3
3 3 2
2 3 1
0 3 0
10 5
3 2 0
3 1 3
2 2 2
1 1 3
1 0 3
3 3 0
0 1 1
1 2 1
3 1 2
3 3 2
10 6
1 1 0
2 1 2
2 2 3
3 2 3
0 0 1
3 0 0
1 1 3
0 0 3
1 2 0
3 1 3
10 5
0 0 1
2 2 1
1 0 2
2 0 2
1 2 2
1 0 1
1 1 0
2 2 2
0 2 1
2 1 2
10 7
1 1 0
1 0 1
2 1 0
0 2 0
1 1 2
0 2 2
2 1 1
2 2 2
1 0 2
0 0 0
10 2
3 1 2
1 3 3
1 0 0
2 0 2
1 2 0
2 1 1
1 1 2
3 0 2
3 0 0
3 0 3
10 4
0 1 0
2 3 1
1 1 3
3 3 2
0 0 3
3 3 1
2 0 0
3 1 0
3 0 3
0 2 3
10 6
0 2 2
3 0 3
2 1 1
3 1 2
2 3 1
3 1 3
0 3 2
3 3 3
0 2 3
2 2 0
10 5
1 0 0
0 0 1
2 1 0
1 1 0
0 0 2
1 1 2
1 2 0
0 1 0
1 1 1
2 2 1
10 9
2 2 1
0 1 0
2 1 1
1 1 2
2 0 1
1 1 0
1 2 0
1 0 1
0 2 1
0 2 2
10 7
2 0 2
1 1 1
2 0 1
0 2 1
0 2 2
2 1 2
1 0 2
1 1 0
0 1 1
0 0 0
10 5
1 1 2
1 2 2
2 2 2
1 2 0
2 1 2
2 2 1
1 0 1
0 2 2
2 0 2
0 0 1
10 8
0 0 2
0 0 0
0 1 2
2 0 1
2 1 0
2 0 0
1 0 2
2 2 1
0 1 0
1 1 1
10 3
2 2 1
2 2 2
0 2 0
1 2 1
0 1 2
2 0 2
1 0 0
2 1 0
2 0 1
1 1 2
10 3
3 0 3
1 0 2
1 0 0
1 3 0
3 1 1
3 1 2
2 0 1
2 2 3
0 2 1
3 3 1
10 8
0 0 0
0 0 2
1 2 1
0 1 2
2 2 1
1 0 0
1 2 2
2 1 1
1 2 0
0 0 1
10 8
1 2 2
2 1 1
0 2 2
0 2 1
1 1 2
2 2 1
0 0 1
0 2 0
0 1 2
2 0 1
10 5
0 2 2
2 0 1
0 1 1
1 0 1
2 0 0
1 2 2
0 0 1
0 2 1
0 1 2
0 2 0
10 6
0 2 1
1 2 0
0 1 0
1 1 2
0 2 2
2 0 2
1 0 1
2 0 0
1 2 1
2 2 1
10 8
2 0 1
0 3 0
0 1 3
1 1 2
0 0 2
3 0 3
0 0 3
2 3 0
2 3 1
2 2 2
10 8
2 0 1
3 2 2
3 0 3
1 0 3
0 1 3
2 1 1
3 3 1
3 2 3
2 1 2
3 3 2
10 8
1 1 1
0 2 2
0 0 1
3 2 1
1 1 0
0 0 3
2 0 0
2 0 3
1 0 2
3 1 1
10 2
0 2 1
1 0 3
1 3 1
3 3 1
3 1 2
1 3 3
2 3 3
0 2 0
0 3 1
1 3 2
10 7
3 3 1
1 1 1
1 2 3
2 1 2
0 2 0
3 2 3
0 1 1
3 1 3
3 0 3
3 3 0
10 8
2 1 0
0 0 0
0 1 1
1 2 0
0 0 1
2 2 2
2 0 1
2 2 1
0 1 0
0 0 2
10 7
0 2 3
0 2 1
1 1 0
1 3 0
1 2 2
3 2 2
2 3 1
3 3 0
3 2 3
3 1 2
10 2
1 0 1
2 0 1
1 1 2
2 1 0
1 2 2
1 1 1
1 1 0
0 0 2
1 2 0
2 1 2
10 8
1 0 2
1 2 1
1 2 0
1 1 2
1 1 0
0 2 0
2 0 2
0 0 0
2 2 2
0 1 2
10 2
3 3 0
1 3 0
1 0 1
2 1 0
3 0 3
3 1 3
0 0 3
0 1 3
3 1 2
1 3 2
10 3
1 1 1
1 2 1
2 1 2
1 2 0
1 1 2
1 0 2
0 0 1
2 0 0
0 2 2
1 1 0
10 4
0 2 1
2 1 2
1 1 1
2 1 1
0 2 0
1 2 1
1 2 2
0 0 0
0 2 2
0 1 2
10 5
1 2 0
2 2 1
1 1 1
2 0 0
3 1 1
1 1 3
1 3 3
1 2 3
0 1 0
0 3 3
10 3
2 1 1
1 3 0
2 2 0
0 2 2
0 0 3
0 1 0
0 3 0
1 1 3
3 3 1
0 1 2
10 8
2 1 1
1 1 2
1 1 1
2 1 0
0 2 0
2 2 0
1 0 0
2 0 2
1 2 1
2 2 2
10 5
0 1 2
0 0 1
2 0 1
1 2 2
2 2 1
2 1 0
0 0 2
1 1 2
1 0 0
0 2 2
10 4
3 3 0
0 2 0
3 1 2
1 2 0
3 2 3
0 1 2
1 3 3
3 1 1
3 2 2
2 2 1
10 9
1 2 1
0 0 1
0 1 1
2 0 0
1 2 2
1 0 2
1 1 2
1 1 1
0 1 0
2 1 0
10 9
1 2 1
2 1 0
1 1 1
2 2 0
2 0 0
0 2 0
2 1 2
2 1 1
2 2 2
1 1 0
10 6
1 1 3
0 3 2
3 2 2
0 1 1
3 1 0
0 1 0
1 1 1
3 3 0
0 2 1
2 0 2
10 4
1 1 2
2 1 0
1 2 2
1 1 0
1 2 0
2 2 2
2 0 1
0 2 1
0 2 2
2 1 2
10 5
2 1 2
2 0 0
0 0 2
3 3 3
1 2 0
0 0 3
2 2 3
0 1 0
1 0 1
1 3 3
10 2
1 1 2
2 0 2
1 1 3
1 3 0
3 1 1
1 1 1
3 2 1
0 1 2
2 1 2
1 2 0
10 4
0 3 2
3 2 2
0 1 3
1 2 1
2 3 0
0 3 1
1 0 1
1 1 0
0 2 2
3 3 3
10 8
0 1 0
0 0 0
0 1 2
0 2 2
1 0 1
1 1 2
1 1 1
2 1 0
2 2 2
2 1 2
10 5
1 1 3
3 2 0
3 2 1
0 1 1
2 2 1
1 2 3
3 1 0
1 1 1
3 3 1
2 1 0
10 2
3 1 1
3 3 1
1 0 2
0 0 0
1 3 1
1 0 0
2 0 3
2 3 1
0 0 1
2 3 3
10 5
0 2 1
2 0 0
0 1 0
2 1 0
1 0 2
1 2 1
2 1 2
0 2 0
1 2 2
2 2 0
10 6
1 3 1
2 3 2
3 3 1
2 0 3
2 1 3
2 1 2
2 0 0
3 1 0
3 3 3
2 3 3
10 5
1 1 1
2 0 2
1 1 0
2 2 2
0 2 2
0 0 2
1 2 2
2 1 1
2 1 2
1 1 2
10 9
1 2 1
2 0 0
2 2 1
1 1 2
2 1 0
0 0 2
0 2 2
1 0 1
2 2 0
0 0 1
10 2
0 1 1
0 1 0
2 0 1
2 1 2
0 0 0
0 2 0
2 1 0
1 2 2
2 2 1
2 0 2
10 8
3 2 0
1 2 3
0 2 3
3 1 1
1 0 0
1 3 1
2 0 3
3 3 3
0 3 3
1 1 1
10 8
2 2 1
0 2 2
1 1 1
2 1 2
2 1 1
1 0 0
0 2 1
0 2 0
2 0 1
1 0 2
10 6
0 0 0
2 2 2
0 2 2
2 1 2
2 0 1
1 2 2
2 0 2
1 1 2
1 0 2
2 0 0
10 8
2 1 2
0 1 0
0 0 2
0 2 2
1 2 2
0 2 1
0 2 0
1 2 0
0 0 1
2 1 0
10 6
1 2 0
0 2 0
1 0 1
0 0 1
0 1 1
2 1 2
1 1 2
2 2 0
2 1 0
2 1 1
10 7
2 2 0
1 0 0
2 1 2
0 1 0
0 0 2
2 0 1
1 0 1
1 2 1
0 2 1
0 0 0
10 5
3 2 2
2 2 2
3 3 1
1 3 3
3 0 1
1 1 0
1 2 3
3 0 3
2 2 1
3 1 2
10 4
0 2 0
1 1 0
1 1 2
2 2 2
0 2 2
2 2 0
1 0 1
1 1 1
2 1 2
0 0 1
10 9
0 3 1
3 3 3
2 3 2
2 0 1
3 2 2
3 3 0
1 2 2
0 0 0
0 2 3
1 0 3
10 4
1 2 1
2 1 3
2 3 2
1 0 2
1 2 0
3 3 3
0 0 0
2 0 0
0 1 1
2 2 1
10 9
1 1 2
2 1 0
0 1 0
1 1 1
2 0 0
1 0 2
0 0 2
2 2 0
1 2 0
0 0 0
10 4
2 3 0
3 1 0
3 0 1
3 2 1
3 1 1
0 2 2
0 3 0
3 3 2
2 2 0
1 2 2
10 4
1 1 0
1 0 0
2 2 1
2 1 0
0 1 2
2 1 2
2 0 0
1 1 2
0 2 0
2 0 2
10 3
1 0 2
3 3 1
0 3 1
3 1 2
3 1 3
3 2 1
0 1 2
1 2 0
0 2 2
0 1 0
10 7
2 2 2
1 1 0
0 2 0
3 2 1
1 2 0
2 0 2
1 0 2
2 0 3
0 3 1
2 3 1
10 4
2 2 0
1 2 1
0 0 0
1 0 0
2 1 1
2 0 0
2 2 1
1 2 0
0 0 2
2 1 0
10 2
0 1 0
1 1 0
0 2 2
2 0 2
2 1 0
1 2 2
0 2 0
1 2 1
0 0 2
1 0 1
10 7
2 1 2
1 0 0
2 1 1
0 2 0
1 0 2
2 2 2
1 0 1
1 2 1
0 0 2
1 2 0
10 2
1 1 0
2 1 1
0 1 0
0 2 2
2 2 1
1 1 1
1 2 1
1 1 2
2 2 0
1 0 2
10 3
2 1 3
3 3 2
0 1 3
2 2 0
1 0 0
2 2 1
2 1 1
0 2 1
0 2 3
0 3 2
10 7
0 0 1
2 0 2
2 0 1
1 0 1
0 1 0
0 2 1
2 1 0
1 0 2
2 1 2
1 2 0
10 8
1 1 1
2 1 1
0 0 1
2 2 0
0 1 1
2 0 2
0 0 0
1 1 0
0 2 0
2 1 0
10 2
0 2 2
2 2 0
0 1 1
0 0 2
2 2 1
1 0 2
1 1 1
0 1 2
0 0 1
1 2 0
10 9
2 2 1
0 0 2
1 1 1
0 1 2
0 0 1
2 2 0
2 2 2
1 0 0
2 0 1
2 0 2
10 2
2 0 1
0 2 1
1 0 1
0 1 2
2 1 2
2 1 0
1 1 0
2 0 0
1 0 0
0 1 0
10 2
2 2 2
0 1 0
2 0 0
1 1 1
1 1 0
1 2 2
0 0 1
2 2 1
2 1 2
2 0 1
10 9
0 0 1
2 0 0
1 0 1
1 0 0
0 2 1
1 2 1
1 2 0
0 1 1
1 1 1
2 0 2
10 9
0 1 1
2 0 0
1 0 0
0 0 2
0 2 0
0 2 1
0 0 1
2 1 0
2 2 1
2 1 2
10 3
2 2 1
3 3 2
2 3 2
1 0 0
1 2 3
3 3 1
1 3 2
3 1 0
2 3 1
1 2 2
10 6
1 1 1
2 1 1
2 2 2
2 2 0
2 2 1
2 1 0
0 1 1
1 0 0
0 2 2
1 2 2
10 4
1 2 0
1 1 2
1 1 1
1 2 2
2 0 2
2 2 2
0 1 0
0 0 1
0 2 2
2 2 0
10 5
1 1 3
3 0 0
2 2 3
3 2 1
0 1 0
0 3 1
1 0 2
0 0 2
1 1 1
2 1 2
10 7
0 0 1
2 2 2
2 1 1
1 1 2
1 1 0
2 2 1
1 2 2
0 1 0
1 2 1
0 2 2
10 6
1 2 0
3 1 0
2 2 2
1 2 1
3 0 1
1 3 0
1 1 2
0 2 2
3 2 0
3 1 3
10 7
1 3 1
1 2 2
0 1 1
1 0 0
3 2 3
2 1 0
3 2 1
0 0 2
1 3 0
1 2 0
10 3
3 0 1
0 2 1
2 2 2
0 2 2
0 1 0
0 0 1
3 3 1
2 1 3
1 2 3
2 1 1
10 7
0 3 1
2 0 0
3 0 3
1 0 1
3 3 3
3 2 3
0 0 2
2 2 2
1 2 2
1 1 2
10 5
1 2 0
3 0 0
0 0 0
2 0 1
1 2 2
3 3 2
0 3 1
0 3 0
1 2 1
1 1 3
10 5
2 1 0
1 1 0
0 1 0
0 0 1
2 0 1
2 2 0
2 2 1
1 2 0
2 1 2
0 0 2
10 2
0 2 0
2 1 1
2 0 1
0 0 2
1 1 1
0 0 1
1 1 0
1 0 0
2 0 0
1 2 2
10 2
2 2 2
2 0 0
1 2 0
1 0 0
0 0 2
0 0 1
0 1 0
2 1 2
2 1 0
0 0 0
10 2
1 1 1
3 2 2
0 3 3
3 1 2
0 0 0
1 3 2
3 3 1
0 2 0
0 3 0
0 1 3
10 5
1 0 2
2 1 2
3 2 0
2 0 3
3 2 1
1 3 3
0 2 2
2 1 0
1 1 0
0 1 1
10 3
2 1 0
0 3 2
1 0 3
0 0 2
3 3 2
1 2 2
0 1 1
3 3 1
1 3 3
3 3 3
10 6
0 1 0
0 2 2
0 2 1
1 2 2
2 0 2
1 1 0
2 0 1
1 0 0
1 2 0
1 0 1
10 9
0 1 0
1 1 0
2 1 1
0 0 2
1 0 0
2 1 2
1 1 2
2 1 0
2 0 0
2 2 1
10 3
3 2 2
2 1 1
3 2 3
2 2 0
2 0 2
2 3 0
3 1 0
1 3 2
1 2 1
0 2 0
10 6
1 1 3
0 0 1
3 2 2
3 3 1
2 1 2
1 3 1
3 0 1
0 2 0
2 3 1
0 2 3
10 8
1 2 1
1 0 0
2 0 0
1 0 1
1 1 1
0 1 0
2 0 2
1 2 2
0 0 0
2 2 1
10 5
0 1 0
1 0 1
1 2 1
2 1 3
2 0 2
3 3 1
1 1 1
1 2 0
0 1 1
2 0 0
10 2
0 0 2
0 2 1
0 2 0
2 0 1
1 0 0
0 2 2
2 0 2
2 2 1
1 0 2
2 1 1
10 7
2 0 3
0 3 3
3 0 0
3 3 1
3 2 1
1 3 1
0 0 2
3 3 3
0 1 3
2 2 3
10 7
1 3 3
2 3 3
3 3 2
2 3 2
3 2 3
2 2 0
0 0 3
3 1 0
3 1 3
2 0 3
10 6
1 1 2
2 1 0
2 0 2
2 1 1
0 0 2
1 2 0
1 1 1
2 0 1
1 2 1
0 0 0
10 5
1 0 2
0 0 1
0 2 1
2 1 0
0 1 0
2 2 2
0 1 2
1 0 1
1 2 2
0 0 2
10 8
1 1 0
0 3 0
2 1 3
2 0 0
0 3 1
1 3 3
1 3 2
1 1 1
3 0 2
2 0 2
10 7
1 3 2
0 3 2
0 0 3
0 1 2
1 0 2
2 3 2
0 3 3
0 2 3
0 1 3
3 2 0
10 2
0 1 1
0 2 2
1 1 2
2 2 1
2 0 1
0 1 2
1 2 1
2 0 0
1 0 0
1 0 2
10 7
0 1 2
0 1 1
1 3 0
2 2 2
2 2 3
2 2 0
2 1 1
1 0 2
0 0 0
0 1 0
10 9
1 1 2
1 2 0
1 0 2
1 2 2
0 2 1
0 1 1
1 1 0
2 1 2
2 1 0
0 1 0
10 8
1 1 1
2 1 2
0 0 1
1 0 2
0 0 2
1 0 1
1 0 0
2 2 0
2 1 1
1 2 0
10 2
1 0 0
1 3 3
0 0 0
3 3 0
2 3 0
1 0 3
3 3 2
1 3 0
1 3 2
1 1 3
10 3
0 2 2
2 1 2
1 1 1
0 0 0
1 2 2
1 1 2
1 2 1
2 1 0
2 2 0
2 1 1
10 7
3 0 2
1 1 3
3 2 2
1 0 0
3 0 1
2 0 2
1 3 2
2 2 0
1 3 1
1 0 2
10 4
2 1 1
1 0 0
2 2 0
2 0 0
0 2 0
2 0 2
0 0 0
0 1 2
1 1 2
1 1 1
10 8
3 0 0
1 2 3
1 0 1
2 0 2
2 0 1
3 2 0
0 3 1
3 2 3
1 3 0
2 2 1
10 6
1 3 0
0 0 2
0 3 0
3 2 2
2 1 0
2 3 0
0 1 3
0 1 0
3 1 3
1 1 3
10 8
2 3 1
0 1 1
0 2 2
1 3 1
1 0 0
2 1 3
2 0 1
0 1 2
3 3 1
3 0 2
10 9
0 2 3
2 0 3
2 2 0
2 0 2
2 1 3
1 0 3
2 3 1
2 1 1
2 1 2
1 3 2
10 8
3 2 3
2 3 2
3 2 1
1 1 0
2 3 3
3 3 1
3 3 2
2 0 3
0 2 1
2 1 3
10 4
1 2 1
2 2 2
2 0 1
2 1 0
0 0 0
2 2 0
2 1 1
0 1 1
0 2 2
0 0 1
10 2
0 1 2
2 1 1
0 0 1
1 0 0
2 2 2
1 1 2
2 2 0
1 2 2
0 0 0
2 0 1
10 3
1 1 2
2 0 1
2 0 0
1 0 0
2 2 2
2 2 1
2 0 2
0 1 0
0 2 2
0 2 1
10 2
2 1 0
1 0 2
1 1 1
1 2 1
2 0 1
1 2 0
2 2 2
1 0 1
0 2 1
2 0 0
10 8
1 0 1
3 2 0
3 2 3
3 2 1
0 1 2
1 3 2
0 2 0
0 3 1
2 1 0
0 1 3
10 2
1 0 1
0 3 0
0 0 1
0 2 0
2 2 1
3 3 2
0 3 1
3 2 1
2 3 2
0 2 2
10 6
2 1 2
0 0 0
0 2 0
2 1 0
2 2 0
1 1 2
0 0 2
0 1 0
2 2 2
0 0 1
10 9
3 3 2
2 0 0
0 1 0
0 0 2
0 2 2
1 1 3
3 3 3
2 3 2
3 3 0
3 3 1
10 9
0 1 1
1 1 1
1 1 0
2 1 2
2 0 2
0 0 2
2 0 0
1 2 1
2 2 0
0 2 0
10 4
0 0 3
3 3 3
1 1 0
0 1 3
3 1 2
0 3 0
2 0 0
2 0 1
1 2 1
3 3 2
10 5
0 2 2
0 0 1
1 0 0
0 1 2
2 2 1
1 1 0
2 1 0
0 0 2
1 0 1
2 0 1
10 4
2 2 2
0 2 0
1 1 0
1 2 1
1 0 0
2 1 2
1 1 2
2 0 1
1 1 1
1 2 2
10 8
1 0 2
1 1 1
2 1 2
2 2 1
2 0 1
1 0 0
0 1 1
2 2 0
2 1 1
0 0 2
10 3
0 3 1
3 0 0
1 0 1
0 1 0
3 3 3
3 1 3
3 0 2
1 1 1
0 3 0
3 2 3
10 5
3 3 3
0 0 2
0 2 2
0 0 0
1 2 1
1 1 2
3 2 0
0 1 2
3 2 3
1 0 1
10 7
0 0 2
2 2 0
2 2 3
2 2 2
3 2 3
0 1 1
0 0 0
0 3 1
1 2 2
3 0 1
10 6
2 0 3
3 3 2
0 2 0
1 2 3
0 1 3
0 3 1
1 3 0
1 3 2
3 0 1
3 0 3
10 8
2 2 0
0 1 1
0 1 0
1 0 0
1 1 1
0 2 1
0 1 2
2 2 1
2 0 1
0 0 1
10 4
1 1 2
0 1 0
2 0 0
1 1 0
0 1 2
0 2 2
1 2 1
2 1 2
0 0 2
2 2 2
10 2
2 2 1
2 1 0
2 0 2
2 1 2
0 2 2
2 0 0
2 0 1
0 1 0
1 0 2
0 2 1
10 8
0 1 1
1 1 1
0 0 0
1 1 0
1 0 2
0 0 2
1 2 1
1 0 0
2 2 0
2 1 0
10 4
3 2 2
2 2 3
0 3 2
2 3 0
2 2 2
2 0 1
0 1 1
2 1 1
0 0 2
0 3 1
10 5
0 3 3
0 1 1
0 2 1
2 1 0
3 1 1
2 3 2
2 1 1
3 2 2
1 1 0
0 0 3
10 4
0 2 2
3 3 2
3 2 0
0 3 0
3 1 0
1 1 3
2 0 0
3 0 1
0 3 1
2 3 1
10 2
0 2 2
2 0 2
1 2 2
1 1 1
2 1 0
0 0 0
1 2 1
0 1 0
2 2 2
1 0 1
10 3
0 1 0
2 0 2
0 0 2
2 1 0
1 1 1
0 0 1
1 2 2
2 0 0
2 1 2
1 1 2
10 2
0 0 2
0 0 1
1 2 2
2 2 0
0 2 2
2 1 0
2 2 2
1 2 0
1 1 2
2 1 2
10 6
0 0 1
1 2 1
2 1 1
2 2 1
1 2 2
1 0 1
0 0 2
2 0 0
0 2 2
2 2 2
10 3
0 1 2
1 2 0
0 2 2
1 0 2
1 2 2
1 1 0
2 0 1
2 0 2
0 2 1
1 0 1
10 3
0 0 1
1 0 0
0 0 2
1 2 0
1 0 2
1 1 0
1 2 2
1 2 1
2 2 0
2 0 0
10 8
2 0 0
0 0 2
1 2 0
0 2 0
2 1 0
1 2 2
0 1 2
0 1 1
0 2 1
2 2 0
10 4
0 3 3
0 3 1
1 0 2
3 1 2
3 1 1
3 0 2
3 1 3
2 1 3
2 2 2
1 2 0
10 2
2 0 2
0 2 1
1 1 0
0 1 0
2 1 2
0 2 2
1 0 2
0 1 2
1 1 1
1 2 1
10 7
0 1 2
0 0 2
0 2 0
1 1 0
1 1 1
1 0 0
2 0 1
1 2 1
0 1 1
0 1 0
10 7
0 1 2
1 0 1
0 0 1
0 1 1
2 0 2
2 2 0
1 0 2
1 1 0
1 1 1
0 1 0
10 9
1 3 1
2 3 1
1 1 1
0 3 0
1 0 1
3 2 3
1 0 3
0 1 3
0 3 1
2 3 3
10 9
3 1 1
3 1 3
1 2 0
2 1 2
1 0 2
0 2 3
0 2 0
0 3 3
0 2 2
1 0 0
10 9
0 0 1
0 0 0
2 0 1
0 1 0
2 2 1
0 1 2
2 1 2
2 0 0
1 0 1
1 1 2
10 7
0 2 0
1 3 3
0 3 2
2 3 2
0 3 3
1 2 1
3 0 2
3 0 1
1 2 3
2 2 0
10 3
2 1 1
1 0 2
1 2 1
0 0 2
0 0 1
2 2 1
0 2 1
1 1 2
2 1 2
0 2 2
10 6
1 2 2
1 1 1
2 1 1
2 2 2
0 1 2
2 2 0
0 0 1
2 2 1
2 1 2
2 0 1
10 5
2 2 2
2 0 1
0 1 1
2 0 0
0 0 0
0 1 2
1 2 2
1 2 1
0 0 2
2 1 1
10 4
0 0 0
0 1 2
1 2 2
2 1 3
2 1 1
1 0 3
3 0 1
1 2 0
1 0 0
1 2 3
10 9
2 2 0
2 0 2
0 1 0
1 1 2
2 0 0
2 2 1
1 1 1
2 1 2
0 0 1
1 0 0
10 9
0 2 0
2 2 0
0 1 0
2 2 1
1 0 2
0 1 2
1 0 1
2 1 0
1 2 0
0 0 2
10 2
1 2 1
3 1 1
2 3 2
2 3 3
0 1 2
3 3 3
1 1 1
1 0 2
3 2 0
2 3 0
10 9
2 3 3
0 0 2
3 3 1
0 2 2
1 2 2
2 3 0
2 1 2
3 0 0
0 3 0
2 0 3
10 4
1 1 1
3 3 0
2 1 2
0 1 3
0 2 1
2 0 2
2 3 3
0 3 3
2 1 3
2 0 1
10 3
0 2 1
0 2 0
2 0 0
1 0 0
2 1 2
0 1 1
0 1 0
2 1 0
2 0 2
0 1 2
10 2
0 0 0
0 2 0
2 0 2
0 2 2
1 0 0
0 1 2
0 2 1
2 1 1
2 1 2
0 0 2
10 2
1 2 0
1 0 2
0 0 3
3 1 2
3 0 1
3 3 1
1 2 1
0 3 2
1 0 0
3 3 2
10 2
3 1 2
0 1 3
2 3 2
2 1 2
2 2 2
2 2 1
3 2 3
1 1 3
3 0 3
0 2 3
10 4
2 1 1
1 2 1
0 0 0
2 0 1
2 2 1
1 1 2
1 2 0
0 1 0
0 1 1
0 1 2
10 3
2 3 3
0 2 3
0 2 0
3 0 1
2 1 3
0 3 1
3 0 3
1 3 2
3 1 1
1 1 2
10 9
1 2 1
0 1 2
2 1 2
2 0 2
1 1 1
1 0 0
0 0 1
1 2 2
2 2 1
0 2 1
10 3
0 1 3
2 0 3
1 2 2
3 2 2
1 1 1
0 0 3
3 3 2
2 2 3
3 1 2
0 2 3
10 7
0 0 1
1 1 2
1 2 1
2 2 2
2 2 1
2 1 2
2 0 1
2 1 1
0 2 1
0 1 1
10 7
1 2 0
2 2 2
0 0 0
2 0 0
0 1 2
2 2 1
1 0 0
2 0 1
0 0 2
2 1 2
10 7
0 0 2
1 0 0
2 1 2
3 1 0
1 1 3
3 2 1
2 1 1
0 3 1
2 3 0
3 0 2
10 7
1 2 2
3 3 1
3 1 2
3 1 0
3 1 3
1 3 3
0 3 2
1 0 2
0 0 1
0 1 1
10 3
2 1 2
1 1 1
2 1 1
0 2 0
2 0 0
2 0 2
2 1 0
1 1 0
0 1 2
1 1 2
10 4
1 1 0
1 2 1
2 0 0
0 1 0
0 2 2
1 2 0
2 0 2
2 2 2
1 2 2
2 0 1
10 8
0 2 2
1 0 1
3 0 0
2 3 0
0 3 1
1 3 0
0 1 1
1 1 0
3 3 3
1 3 3
10 6
0 0 0
1 0 1
2 2 1
2 1 1
2 1 2
0 1 0
1 1 0
0 1 2
0 2 2
2 0 2
10 7
2 0 2
2 2 2
0 2 1
0 2 2
2 1 0
2 0 1
0 2 0
2 1 2
2 0 0
1 0 0
10 7
2 1 0
1 1 0
1 2 2
2 1 1
2 2 0
2 0 0
2 2 2
1 0 2
2 1 2
0 0 0
10 3
1 0 0
3 0 3
2 0 3
2 2 3
3 1 0
0 1 3
2 0 0
3 0 0
1 0 3
0 3 3
10 6
3 3 2
0 2 2
1 3 3
3 2 2
1 0 2
1 2 3
3 1 2
0 3 3
2 2 3
0 3 0
10 5
2 0 1
1 2 1
2 0 0
2 1 2
1 2 2
0 2 2
0 1 1
1 1 1
0 0 2
1 2 0
10 6
0 2 3
1 1 2
1 2 3
2 0 0
3 3 0
3 3 2
0 0 2
2 2 0
3 2 1
1 1 1
10 8
1 2 1
0 2 0
1 2 2
0 2 2
0 0 0
1 0 2
2 2 0
0 1 1
2 0 1
1 2 0
10 5
0 0 3
3 1 3
3 2 3
2 0 0
3 3 0
2 0 1
1 2 1
1 1 1
2 2 0
0 3 3
10 5
1 0 1
0 0 1
0 1 2
1 0 2
1 1 1
2 2 2
2 1 2
1 1 0
1 2 1
0 1 0
10 6
0 1 2
3 0 2
2 0 1
3 1 0
1 0 2
0 2 1
3 2 0
3 3 2
2 1 3
3 3 3
10 4
1 1 0
2 0 2
2 2 1
0 0 2
2 2 2
1 1 2
0 1 2
2 1 1
2 2 0
1 2 1
10 3
1 2 2
2 2 0
2 0 2
0 1 0
1 1 1
1 2 1
2 1 2
1 0 2
0 0 1
2 1 0
10 5
0 0 2
2 2 2
3 1 0
2 0 1
0 2 3
3 0 1
3 1 2
3 2 3
2 0 0
3 3 3
10 2
0 0 0
0 0 1
2 1 2
1 0 1
2 1 1
0 2 2
2 2 0
1 2 0
0 1 2
1 2 2
10 6
1 2 1
0 2 0
2 1 0
1 2 0
2 0 1
0 1 2
0 1 0
0 2 1
2 1 1
1 1 1
10 6
3 1 0
3 2 2
0 2 2
1 1 3
2 2 3
0 3 0
0 0 3
0 3 3
2 0 1
3 0 0
10 2
0 1 3
2 0 1
1 3 2
2 3 1
2 0 0
1 0 2
2 3 0
2 0 3
0 1 0
0 1 1
10 3
0 3 3
2 2 3
1 0 1
1 3 0
0 3 2
2 0 1
3 0 0
0 0 1
2 0 0
1 2 3
10 9
3 2 2
2 2 3
0 0 0
1 3 3
1 0 1
0 0 2
2 3 2
3 2 3
1 1 0
2 3 3
10 4
1 0 0
0 2 3
1 3 0
2 2 1
2 3 0
2 1 2
0 3 3
1 2 3
2 0 3
1 0 1
10 5
2 0 0
1 2 2
2 0 2
1 0 1
0 1 0
0 1 1
1 1 2
0 0 1
2 2 0
0 2 1
10 5
0 2 1
2 3 2
1 3 0
3 3 1
3 2 0
0 3 3
1 2 0
3 3 3
3 2 1
0 0 2
10 4
3 0 3
3 1 1
2 0 1
2 1 3
1 1 3
3 2 0
0 0 0
0 2 1
2 3 0
1 1 0
10 2
2 0 0
0 3 0
3 3 1
2 0 1
2 2 3
3 1 3
1 1 0
1 0 3
1 0 2
2 1 2
10 8
2 0 2
1 1 1
0 0 0
2 1 1
1 1 2
0 2 2
0 0 2
0 0 1
1 2 1
2 1 2
10 8
2 0 0
1 2 2
2 2 0
0 0 2
1 1 2
1 1 1
1 1 0
0 2 2
1 2 1
0 2 1
10 8
0 1 1
1 0 1
2 0 1
0 1 2
0 0 0
0 2 2
0 0 2
2 1 2
2 1 0
0 0 1
10 9
2 1 0
1 0 0
0 1 2
0 0 2
0 2 1
2 2 2
2 2 1
0 2 2
0 2 0
1 1 2
10 8
2 2 3
0 1 0
1 0 3
0 2 3
3 3 1
1 1 0
0 3 2
2 2 1
3 1 2
0 2 2
10 6
0 0 2
0 1 2
2 0 0
2 2 0
1 1 2
2 2 1
0 0 0
0 1 1
2 1 2
0 2 2
10 6
2 1 2
2 0 0
1 1 1
0 1 1
2 2 2
1 0 1
0 0 2
2 1 1
0 2 0
1 0 2
10 6
0 1 3
3 0 1
0 2 0
1 1 1
3 2 1
0 0 2
0 3 2
1 3 3
3 0 3
2 3 3
10 6
0 1 0
0 2 1
0 2 2
1 0 2
2 2 2
1 1 2
0 2 0
2 1 0
2 2 0
1 2 0
10 5
0 1 2
1 0 1
1 1 1
2 2 1
1 1 0
1 2 1
0 1 1
2 2 0
1 0 0
1 1 2
10 6
1 2 2
0 0 2
2 1 2
1 0 1
2 0 0
2 0 1
1 1 0
1 0 2
2 2 1
1 2 1
10 5
3 3 1
1 1 1
1 0 1
0 3 1
1 2 0
1 3 3
0 2 2
2 1 0
3 2 1
0 0 3
10 5
1 1 2
3 2 2
3 2 3
1 3 0
1 2 0
1 0 3
3 0 0
1 0 2
2 2 2
2 1 0
10 3
0 2 2
2 2 2
0 1 0
1 1 2
2 0 2
1 1 1
0 0 0
2 1 0
0 0 2
2 0 0
10 7
1 0 2
0 0 2
2 2 0
2 0 2
1 1 2
2 2 1
1 2 2
1 2 0
2 1 1
1 0 1
10 2
3 0 2
1 3 1
0 0 0
3 0 3
3 3 1
0 3 3
3 2 1
0 1 0
2 3 3
3 0 1
10 9
0 1 2
2 0 0
2 0 1
1 3 1
2 1 0
3 1 1
1 3 2
3 3 3
2 3 1
0 0 0
10 9
3 0 2
1 0 3
3 3 0
2 2 2
1 3 0
0 2 1
1 1 2
1 2 0
3 0 0
2 3 3
10 2
2 3 2
1 2 0
0 1 1
3 0 3
0 2 3
0 1 3
1 2 2
3 0 2
2 3 1
1 1 2
10 3
0 3 3
3 2 1
0 2 2
1 3 0
2 0 1
3 2 2
1 1 1
2 1 3
3 1 1
3 1 3
10 9
1 2 2
0 2 2
0 0 0
2 0 2
2 2 2
2 0 0
0 1 0
2 0 1
1 1 0
1 1 2
10 2
0 0 0
0 1 0
2 0 0
1 1 1
2 2 2
2 2 1
2 0 1
2 2 0
1 1 2
1 2 0
10 9
3 2 3
1 0 0
0 2 3
1 1 1
3 3 3
2 0 0
0 0 0
3 0 1
1 3 3
2 0 3
10 9
1 1 3
2 3 1
1 3 3
0 0 1
1 1 0
2 1 0
2 3 2
3 2 1
1 2 1
3 0 3
10 2
0 3 1
1 3 1
1 1 0
0 0 0
0 2 3
1 0 1
2 2 0
2 3 1
2 1 2
2 3 3
10 2
2 0 2
2 1 0
2 2 0
2 0 0
1 2 0
1 2 2
0 0 1
1 0 0
0 2 1
0 1 1
10 3
3 1 1
2 0 3
2 1 0
1 0 2
2 2 1
2 0 2
2 3 3
1 3 2
0 3 0
1 2 2
10 5
1 0 2
0 1 1
1 0 1
1 1 1
1 2 0
0 0 0
2 2 2
0 1 0
2 2 0
1 0 0
10 8
1 1 0
3 2 1
0 2 1
2 1 2
3 0 0
1 0 1
1 1 2
0 3 1
2 1 0
2 2 2
10 5
2 3 0
1 3 1
3 2 2
1 0 1
0 3 2
1 3 2
1 2 1
2 3 3
1 1 1
3 0 0
10 4
0 1 2
1 2 1
2 1 1
1 0 1
0 0 1
2 2 1
0 0 0
0 1 0
0 0 2
2 0 1
10 9
2 0 2
2 2 1
1 1 1
0 1 2
0 2 2
2 2 0
0 2 1
1 2 0
1 1 0
1 1 2
10 4
2 0 3
0 2 0
3 3 1
1 2 0
2 0 0
0 2 1
3 2 1
3 1 0
0 0 3
2 3 1
10 9
0 1 1
1 1 1
0 0 2
2 1 2
1 1 2
2 1 1
2 1 0
1 0 0
0 0 0
2 2 0
10 3
0 2 0
0 2 2
2 0 1
2 1 1
2 2 0
0 1 0
2 2 1
2 1 0
2 1 2
1 0 1
10 9
2 3 2
0 3 0
2 0 3
2 0 1
0 1 3
3 2 3
0 2 1
2 0 2
0 3 2
3 3 1
10 8
0 1 1
2 1 1
2 2 1
2 0 0
1 1 1
0 2 2
1 0 0
1 0 2
1 2 0
1 2 2
10 4
1 1 0
1 0 2
1 2 1
0 0 2
0 1 2
2 2 2
0 0 0
1 0 0
2 1 0
2 1 1
10 6
0 3 2
1 3 0
0 0 0
0 1 1
0 2 3
0 2 1
2 3 0
1 2 2
1 1 0
3 2 2
10 2
1 0 0
2 0 0
2 0 3
0 0 0
2 1 2
1 1 1
2 3 3
0 1 1
0 3 1
3 1 1
10 5
1 2 2
1 1 1
1 0 2
2 1 1
0 2 0
2 2 2
1 1 2
0 0 1
0 1 0
1 0 1
10 9
3 3 0
0 1 2
2 2 2
2 0 1
1 1 2
2 2 1
0 2 2
1 1 3
2 0 2
2 1 0
10 3
3 1 1
3 2 2
0 2 2
3 0 2
0 2 1
2 2 2
2 1 3
2 1 0
3 1 0
3 0 3
10 2
2 1 3
1 2 1
2 1 1
2 1 0
0 3 3
2 0 1
3 3 3
1 3 3
3 0 0
3 3 1
10 6
0 1 1
1 3 2
1 3 3
2 3 2
3 3 1
3 3 2
0 3 2
1 1 0
2 0 2
2 1 1
10 8
1 2 1
0 1 0
2 0 0
2 1 1
2 0 2
0 2 0
0 0 2
1 1 0
1 2 2
2 2 1
10 6
0 0 0
2 1 0
2 1 2
0 0 1
0 1 2
2 0 0
2 2 2
1 2 2
1 1 2
0 1 1
10 2
2 2 0
2 1 3
2 3 2
2 3 0
3 2 0
0 0 1
3 0 2
1 0 2
2 3 3
3 3 1
10 2
2 0 2
3 2 0
3 3 2
3 2 2
3 3 1
1 1 1
3 1 2
0 2 3
1 3 2
1 0 0
10 7
1 2 0
0 2 1
2 2 1
1 2 2
2 0 0
2 1 2
1 2 1
2 0 1
0 0 0
0 0 1
10 8
1 1 2
2 1 2
1 0 1
0 0 2
1 1 1
0 2 2
2 2 1
0 1 2
0 0 1
2 2 2
10 3
0 1 1
0 2 2
2 1 1
2 1 0
1 0 1
1 1 1
1 1 0
0 0 2
0 0 0
1 0 2
10 3
1 0 3
1 1 2
1 3 0
2 0 2
2 1 2
0 3 3
1 1 1
1 3 1
1 2 0
1 1 3
10 2
2 3 1
1 1 3
1 2 0
1 0 2
1 0 3
1 3 1
2 1 1
2 0 3
3 2 2
3 0 3
10 4
1 0 1
3 2 1
1 1 1
2 2 0
0 0 2
1 2 2
1 1 2
1 2 0
3 0 0
0 0 0
10 9
2 2 0
1 2 1
0 2 0
2 0 0
1 2 0
1 0 1
2 2 2
2 1 1
0 0 2
0 1 0
10 9
0 1 1
0 1 2
2 1 1
1 2 3
3 1 1
0 3 1
0 2 0
2 2 0
1 0 0
3 2 0
10 5
0 1 2
1 0 1
0 0 0
0 0 1
1 2 1
1 2 0
2 1 1
2 2 2
1 1 2
1 2 2
10 7
3 1 0
1 1 0
0 1 1
1 0 2
2 0 3
0 0 3
0 0 0
1 2 1
0 1 0
1 3 0
10 4
1 1 2
2 2 1
2 0 2
0 2 0
2 2 2
1 0 1
2 1 0
2 2 0
1 2 1
0 2 1
10 9
0 2 0
0 0 2
0 1 0
1 1 0
2 1 2
1 1 2
0 0 0
1 1 1
0 2 1
0 1 2
10 6
0 3 3
1 1 1
2 3 1
3 3 1
1 2 0
3 3 3
0 1 3
3 2 3
1 3 0
2 1 0
10 3
0 1 2
1 3 2
0 3 3
0 3 0
0 2 0
2 0 1
0 2 2
3 0 3
0 0 1
1 3 0
10 9
1 0 0
3 2 0
0 2 0
3 3 3
3 2 1
2 1 0
0 2 3
1 3 0
0 0 2
3 1 1
10 5
3 0 1
0 1 1
3 0 3
1 2 0
0 3 3
3 2 0
2 0 2
2 1 2
2 1 0
1 0 3
10 9
0 0 1
2 1 1
0 2 1
0 2 0
0 0 0
2 1 0
2 2 2
1 0 1
1 1 1
1 2 0
10 5
2 1 0
1 0 1
2 2 2
1 1 2
2 1 1
2 2 0
1 2 2
0 1 1
1 0 0
2 0 2
10 6
0 0 2
0 1 0
3 0 1
1 2 0
1 0 2
3 1 3
1 1 0
1 2 1
1 1 2
3 3 0
10 2
2 3 0
2 1 3
2 1 1
1 1 0
1 0 1
0 0 3
2 3 1
1 3 2
3 3 3
0 1 3
10 6
2 0 1
1 2 0
2 0 2
1 2 1
0 2 2
2 1 2
0 0 1
1 2 2
0 0 2
1 1 2
10 5
2 2 0
1 1 1
2 0 1
2 1 1
0 0 1
0 0 0
2 2 2
1 2 0
0 2 1
1 2 2
10 3
1 0 0
0 2 2
0 1 0
2 2 0
1 2 1
2 0 1
0 2 0
2 1 1
1 1 0
0 1 1
10 7
1 2 2
2 1 1
1 2 0
0 1 0
0 2 0
2 1 0
0 2 1
2 0 0
0 0 0
0 1 1
10 3
2 0 1
3 2 3
1 3 3
2 3 2
2 2 0
0 1 3
2 1 2
0 0 3
3 0 2
3 3 0
10 7
1 1 1
2 0 1
3 2 2
1 2 0
1 2 1
2 2 2
0 3 1
0 2 0
0 3 0
2 2 3
10 9
1 2 2
3 3 3
1 1 1
3 2 1
0 1 2
0 1 3
2 3 0
1 0 3
1 2 1
1 1 0
10 8
0 2 2
1 3 1
0 1 3
2 1 1
1 0 0
0 3 1
0 2 0
0 2 1
0 0 3
2 1 3
10 4
0 2 0
1 0 2
1 2 1
0 2 1
2 0 1
1 1 2
0 1 0
2 1 2
1 0 1
2 1 1
10 7
0 2 1
2 0 2
2 1 1
0 1 1
0 0 0
1 2 1
1 1 2
0 1 2
0 0 2
0 1 0
10 9
3 1 1
1 0 3
3 2 2
0 1 1
2 3 3
0 1 3
0 0 3
0 1 2
3 0 1
3 3 1
10 6
1 0 0
2 1 2
0 2 0
2 1 0
2 2 0
1 1 2
2 2 1
0 1 1
2 1 1
2 0 2
10 7
2 1 0
1 1 1
1 0 0
0 1 0
1 0 2
2 0 1
2 2 0
2 2 1
0 1 1
2 1 1
10 4
0 2 0
2 2 0
1 1 0
2 0 2
1 2 2
2 2 2
1 1 2
2 1 2
0 0 1
2 1 0
10 8
0 1 1
2 2 0
0 2 0
1 0 0
0 3 2
0 1 2
0 2 3
2 3 3
2 0 0
1 1 1
10 6
1 2 1
0 0 1
0 2 2
0 2 1
0 1 2
2 0 1
2 2 2
1 1 2
0 1 0
1 2 0
10 6
1 3 0
0 0 2
3 1 2
2 1 3
2 1 1
0 1 1
3 3 3
2 3 1
3 3 1
2 0 3
10 8
0 0 1
2 0 0
1 0 1
1 0 0
1 2 1
0 2 2
1 1 2
2 1 0
2 2 2
0 2 1
10 9
0 1 1
2 1 1
1 2 0
1 1 2
2 1 0
0 2 2
2 0 1
0 1 2
1 0 2
2 2 2
10 2
1 0 2
1 1 3
2 3 2
1 0 1
1 0 3
2 2 3
3 2 0
1 2 3
3 1 2
1 2 0
10 4
0 0 1
0 2 0
1 1 2
0 2 3
3 2 2
1 0 3
2 1 3
1 0 2
3 0 0
3 1 2
10 5
0 2 1
1 1 0
2 1 0
1 0 1
1 2 0
1 2 1
0 2 2
1 0 0
0 1 0
1 1 2
10 8
2 2 1
2 3 1
3 3 2
1 0 0
1 2 2
3 1 0
2 1 1
3 3 0
1 2 0
1 1 2
10 3
3 3 1
0 0 0
0 1 1
1 2 0
0 2 0
2 2 0
1 0 0
1 0 2
2 2 1
3 2 3
10 7
2 1 0
0 1 1
0 2 2
0 2 0
1 1 1
2 2 0
2 0 2
0 1 2
1 2 1
1 2 2
10 9
1 1 2
0 0 0
1 2 2
1 2 0
1 0 2
0 2 1
1 0 0
0 2 2
1 1 0
2 1 2
10 9
0 1 0
2 2 0
2 1 0
2 2 2
1 0 1
1 1 1
1 0 2
1 0 0
1 2 2
1 1 2
10 3
3 1 2
3 1 0
2 3 0
3 0 2
1 1 2
3 2 1
0 3 2
1 0 1
0 0 0
1 3 2
10 3
2 2 0
0 0 0
0 2 1
2 0 1
2 1 2
0 1 1
1 2 2
1 1 0
0 2 0
1 1 1
10 2
1 0 1
0 0 1
1 0 0
0 0 2
0 2 1
2 2 0
2 1 2
0 1 0
1 2 0
2 0 0
10 6
3 0 0
1 2 3
0 3 1
1 0 2
0 0 0
3 0 2
2 3 0
1 3 2
1 1 0
0 0 3
10 2
2 2 2
2 1 0
0 1 2
1 2 0
1 1 1
2 2 0
1 0 2
2 1 1
0 0 0
0 2 2
10 8
2 1 0
3 3 0
0 2 2
3 2 0
0 0 1
3 2 3
2 3 1
3 2 1
1 2 3
3 0 1
10 4
0 0 1
1 2 1
1 0 0
1 2 2
0 1 2
0 1 1
0 2 2
0 1 0
0 0 2
0 2 1
10 7
3 3 2
2 0 1
2 2 1
2 2 2
1 0 2
2 3 2
0 0 3
1 3 2
3 0 1
2 0 2
10 2
0 3 0
1 1 0
2 3 1
2 0 2
3 1 1
3 1 0
1 3 3
0 0 1
0 0 0
1 2 0
10 5
2 1 0
1 1 0
1 1 1
0 1 2
0 1 0
1 2 1
0 2 2
2 2 0
2 2 1
2 0 2
10 6
2 2 2
1 0 1
0 1 1
1 2 1
0 1 2
0 0 2
1 2 0
1 1 2
1 0 2
2 2 0
10 3
0 1 2
0 2 2
1 2 0
1 1 1
2 2 2
0 2 1
2 2 0
1 1 2
2 0 1
2 1 0
10 9
2 2 1
3 3 1
1 0 3
0 1 2
1 3 2
3 1 3
2 2 2
0 3 2
1 3 1
3 0 2
10 9
3 0 1
2 3 2
2 0 2
3 1 3
2 2 2
3 0 0
1 3 2
1 2 2
3 2 1
2 0 0
10 8
3 1 3
2 2 0
3 2 0
1 2 2
3 0 1
2 2 3
1 3 0
3 1 0
2 3 3
2 1 0
10 6
0 2 2
3 3 0
3 2 0
0 3 3
2 1 3
1 0 3
0 3 0
0 1 2
2 2 3
3 1 3
10 4
2 2 2
1 0 2
2 0 3
1 3 2
2 1 0
2 0 0
0 1 2
0 0 0
3 2 2
1 3 1
10 7
1 1 0
1 2 0
0 1 0
0 1 2
2 2 1
1 0 0
1 2 2
1 1 1
1 1 2
2 0 1
10 2
1 3 0
1 2 2
2 1 1
2 0 1
0 3 2
3 3 3
3 1 2
1 3 3
0 2 3
0 0 0
10 7
0 2 2
1 0 2
0 2 1
0 2 0
0 1 2
2 1 1
2 0 0
2 0 2
0 1 0
1 1 2
10 3
0 3 2
2 2 3
0 3 1
3 2 0
2 1 0
3 0 2
3 1 3
0 2 3
3 2 1
1 0 2
10 2
1 0 1
1 3 1
1 1 0
0 2 2
0 2 1
0 3 0
1 2 1
3 3 2
3 1 1
3 0 2
10 9
2 1 2
1 2 1
1 2 0
0 0 1
1 1 0
0 0 0
1 0 0
2 1 1
1 0 1
0 1 0
10 6
2 2 0
0 0 0
3 0 3
2 2 3
1 3 1
3 2 0
1 3 2
0 1 1
3 1 2
2 3 1
10 6
1 2 0
2 2 2
1 0 2
1 1 0
0 0 0
1 0 0
0 0 2
2 0 1
2 1 0
1 2 1
10 8
1 3 1
3 0 1
2 2 0
3 1 2
3 1 0
1 2 0
1 2 3
1 3 3
3 1 1
3 0 3
10 6
2 3 1
3 2 0
1 3 0
3 3 1
0 0 2
2 0 0
0 1 2
1 3 1
3 3 3
0 2 3
10 9
0 1 0
1 3 1
3 1 2
2 0 2
0 0 1
1 2 3
2 3 0
0 3 2
1 1 2
2 1 1
10 3
1 0 0
3 0 1
2 3 2
2 2 1
0 2 3
1 1 2
1 1 0
2 1 0
3 3 1
1 2 2
10 8
2 3 0
0 2 3
0 1 0
2 0 3
0 1 2
3 2 2
3 1 3
0 2 1
3 1 2
0 0 3
10 2
1 1 1
0 0 1
1 1 2
2 1 1
1 0 0
0 2 1
0 1 0
0 0 2
2 1 2
1 0 2
10 2
3 3 2
1 3 2
1 1 3
3 2 3
2 0 1
2 3 0
1 1 0
0 1 0
1 2 3
1 0 0
10 2
2 1 1
2 1 2
0 3 2
0 2 2
3 0 0
3 1 2
0 3 0
3 2 2
1 3 3
3 3 2
10 6
2 1 1
2 2 2
1 1 0
1 0 0
0 1 0
1 2 1
2 2 1
0 2 2
2 0 2
2 0 1
10 2
3 0 2
2 1 2
1 2 3
2 1 3
1 1 2
3 0 3
3 1 1
2 2 0
0 0 0
1 3 1
10 2
1 2 3
3 1 2
2 2 3
3 3 1
1 0 3
0 2 0
1 3 0
2 3 3
3 0 1
0 1 1
10 2
0 0 3
3 1 0
0 1 1
0 0 1
2 0 1
1 1 0
3 3 3
2 1 0
3 1 1
1 1 3
10 5
0 0 2
1 2 1
1 1 0
2 1 2
0 1 1
1 2 0
2 0 0
1 0 0
1 2 2
0 2 1
10 4
2 1 1
1 0 1
0 2 0
1 2 2
0 2 2
1 2 0
2 2 2
1 0 0
2 0 1
1 0 2
10 8
3 2 3
0 1 2
3 1 0
0 0 2
0 3 2
2 3 0
1 1 3
1 3 2
3 0 0
2 3 3
10 9
1 1 0
1 3 2
0 0 3
0 3 1
2 0 2
1 2 0
1 3 0
2 3 0
1 3 1
2 0 3
10 6
2 2 1
0 0 1
2 2 2
2 2 0
2 1 0
2 1 2
1 0 0
1 1 1
2 0 0
0 1 2
10 4
0 2 1
3 1 1
0 1 3
2 3 0
2 2 2
3 1 3
3 3 0
0 2 2
3 3 1
1 2 1
10 2
2 2 0
2 1 1
2 1 0
1 0 1
0 0 0
2 0 1
2 0 0
1 0 2
2 1 2
1 1 0
10 9
1 2 2
1 2 1
1 1 0
1 2 0
0 0 2
2 2 1
0 2 2
2 0 1
0 1 1
2 0 2
10 9
0 1 3
3 1 2
1 1 3
0 0 3
3 3 0
0 3 0
2 3 2
0 0 0
3 0 2
3 1 3
10 2
2 0 2
1 3 1
1 3 0
1 2 1
0 1 2
1 1 2
2 2 1
0 2 1
3 2 0
1 1 0
10 7
0 0 0
2 1 1
2 1 2
0 2 1
3 0 2
3 2 1
0 1 2
1 1 2
0 0 1
0 2 3
10 5
2 1 0
2 1 2
1 2 1
2 0 0
1 2 0
0 0 1
0 1 1
2 2 2
2 0 1
0 1 0
10 2
0 2 3
0 3 0
3 0 0
0 3 3
1 0 2
1 1 3
3 3 0
0 0 3
2 3 2
1 0 3
10 5
0 1 1
3 3 1
1 0 2
1 2 3
1 2 0
3 2 1
2 1 2
2 0 2
3 0 3
1 3 3
10 3
1 0 1
0 1 0
0 3 3
2 1 2
1 1 3
0 0 1
1 3 3
1 1 2
0 2 1
0 0 2
10 8
3 0 1
3 3 0
3 3 2
0 3 0
0 0 3
1 3 0
1 1 0
1 2 1
2 0 2
0 3 2
10 9
0 0 2
1 1 2
0 2 2
2 2 1
2 0 0
0 0 1
1 0 0
1 2 0
2 2 0
1 2 2
10 5
1 2 3
0 2 1
1 3 0
1 3 1
0 0 0
1 2 2
2 0 0
0 3 2
0 2 3
2 0 1
10 4
2 2 2
2 3 2
1 2 1
0 0 2
2 0 3
3 0 3
0 0 1
0 1 2
2 2 0
2 2 3
10 2
0 1 2
0 0 3
1 1 3
3 0 1
2 0 3
1 0 1
0 1 3
3 3 3
0 0 0
0 1 1
10 7
2 0 0
2 1 1
0 3 0
1 0 1
1 3 2
2 2 0
1 3 3
0 0 3
0 2 2
0 0 1
10 3
1 3 0
2 1 1
2 0 3
2 0 0
0 2 3
2 2 0
3 2 2
0 1 3
0 3 0
2 1 2
10 2
3 3 2
0 2 2
3 3 3
0 0 0
3 1 3
0 0 1
3 0 1
1 1 3
2 1 0
1 3 3
10 5
1 1 0
2 1 2
0 1 1
2 2 0
0 2 1
2 2 1
2 0 2
0 0 1
0 2 0
0 1 0
10 7
2 2 2
0 1 1
0 1 0
2 0 1
2 0 2
0 0 2
0 2 1
0 1 2
2 0 0
1 0 1
10 5
2 2 1
0 0 1
1 0 1
1 2 2
2 0 1
1 2 0
2 1 1
0 1 0
0 1 1
1 1 2
10 4
1 3 1
3 2 2
0 3 2
1 0 2
2 3 2
1 1 1
3 0 0
2 3 0
2 2 2
2 1 1
10 4
2 1 1
1 2 1
0 2 1
0 1 2
0 1 0
0 0 0
0 0 2
2 2 2
1 1 1
1 1 2
10 4
1 1 2
1 2 2
2 2 2
1 2 1
2 2 1
1 0 0
1 2 0
2 1 2
2 1 1
2 0 2
10 4
1 0 0
0 1 0
2 0 2
1 2 1
0 0 0
1 1 0
0 2 1
0 0 1
2 0 1
1 1 2
10 2
1 2 2
0 2 2
1 2 1
1 1 1
0 1 0
0 1 2
0 0 1
2 1 1
1 1 2
0 0 2
10 8
2 1 0
3 3 0
1 0 3
2 3 0
0 0 0
1 3 1
3 0 3
2 1 2
0 1 3
1 3 0
10 3
0 3 1
3 3 3
1 3 0
1 2 0
3 2 2
2 2 1
0 3 0
2 2 2
2 3 2
3 3 2
10 6
2 0 1
1 0 0
2 2 2
1 1 1
2 2 1
2 1 0
0 0 2
2 0 2
1 2 1
1 1 0
10 3
0 1 2
2 1 0
1 0 2
1 0 1
2 1 1
0 1 1
1 1 2
1 1 0
2 1 2
0 2 0
10 8
2 2 0
2 2 2
0 1 1
0 2 2
0 2 0
1 2 0
1 2 2
2 0 0
2 2 1
0 0 1
10 3
2 3 1
3 0 0
2 0 1
3 1 1
2 1 3
0 3 3
2 3 3
0 3 2
0 1 3
0 2 1
10 2
1 2 0
3 3 1
2 3 0
2 1 1
0 2 1
1 3 0
1 1 3
2 0 3
0 2 2
2 1 3
10 8
2 1 1
1 1 3
1 0 1
3 3 1
0 0 2
2 2 1
0 3 3
3 0 2
2 1 0
0 1 0
10 6
0 3 2
2 2 1
0 2 2
3 3 0
0 1 1
1 1 3
0 2 3
0 3 0
2 1 1
1 3 1
10 3
1 0 3
1 0 1
1 0 2
3 1 1
2 1 2
1 3 0
0 1 0
1 2 2
2 1 1
0 1 1
10 2
3 0 1
2 0 3
2 1 3
2 2 3
0 2 2
0 0 3
3 2 3
1 3 2
1 2 2
2 1 1
10 5
2 0 2
0 0 1
2 1 0
2 1 2
0 1 0
1 0 2
2 1 1
0 1 2
1 2 1
0 2 2
10 4
2 2 3
1 3 0
3 3 3
3 1 3
1 0 1
0 1 0
0 1 1
0 2 1
2 0 1
1 2 1
10 4
2 1 0
2 2 0
0 1 0
1 2 0
2 2 1
0 1 2
2 0 2
1 0 2
2 0 0
0 0 2
10 8
1 2 0
2 2 1
0 2 1
2 1 0
2 0 2
1 2 1
0 2 2
2 0 0
2 1 1
2 1 2
10 8
1 0 1
2 0 1
1 1 2
0 0 0
2 0 2
1 2 0
0 0 2
1 1 1
0 2 1
0 1 0
10 3
2 2 3
0 3 2
0 1 1
2 0 0
0 0 1
1 1 1
0 2 2
1 2 1
2 3 2
1 2 0
10 9
0 2 1
2 0 0
2 1 0
2 0 1
0 2 2
0 2 0
1 2 2
0 1 1
1 1 2
2 1 2
10 7
1 1 1
0 1 2
0 2 0
1 0 2
2 1 2
2 0 0
0 2 2
1 2 2
2 2 1
2 0 1
10 2
0 0 2
1 2 2
0 0 1
1 1 0
1 2 1
0 0 0
1 1 1
0 2 2
2 2 2
1 1 2
10 4
0 1 2
2 2 1
1 2 1
0 1 1
0 1 0
2 0 1
0 2 1
2 0 0
2 2 0
2 2 2
10 8
0 0 3
2 2 1
3 2 1
3 2 2
3 0 2
0 0 0
3 3 0
3 2 3
1 3 0
3 0 0
10 7
1 1 3
0 0 2
3 3 1
2 3 0
0 0 3
0 1 3
3 3 0
3 3 2
3 2 1
0 2 3
10 5
3 3 3
1 0 3
3 2 0
0 1 0
0 3 3
3 1 0
0 1 3
3 2 2
0 0 0
1 0 2
10 2
0 0 2
1 0 2
0 1 2
1 1 1
1 2 1
0 0 1
0 2 2
1 2 2
2 2 0
1 0 1
10 6
1 1 2
0 0 1
2 0 3
3 1 0
0 0 2
0 3 3
3 0 3
0 1 0
3 3 1
3 2 3
10 3
2 0 1
1 1 1
2 0 0
2 1 2
0 1 2
2 2 0
0 2 1
0 1 1
1 2 2
1 2 0
10 5
3 3 3
1 2 2
2 1 1
3 1 0
3 3 2
3 0 1
1 1 3
2 3 1
3 3 1
2 1 0
10 7
2 1 2
0 2 0
0 1 0
2 2 0
1 2 0
1 2 2
2 0 1
2 1 1
1 0 2
2 2 2
10 2
1 3 0
0 1 3
3 3 0
3 3 1
3 3 3
3 0 2
1 0 1
1 3 2
0 0 3
2 3 2
10 3
2 0 1
1 2 1
2 2 1
1 2 2
0 1 2
0 2 1
1 0 1
1 2 0
0 0 0
2 0 0
10 4
3 1 0
0 3 1
0 3 0
0 0 2
2 2 3
0 2 2
3 2 0
3 0 2
2 0 2
2 1 1
10 3
3 3 2
3 2 2
0 0 0
2 0 3
3 0 1
2 3 2
3 1 0
3 1 2
2 2 1
3 3 3
10 5
2 1 1
1 1 1
1 2 1
0 1 2
0 1 1
0 0 2
0 2 1
1 0 0
1 1 0
2 1 0
10 7
0 0 0
2 1 0
3 1 1
1 2 2
1 1 0
0 0 1
0 3 3
0 2 1
3 1 0
1 0 3
10 7
1 3 1
1 0 0
3 0 2
3 2 0
0 3 0
2 0 3
3 3 3
3 1 2
2 1 3
3 1 0
10 5
0 1 1
2 0 1
1 2 1
0 1 2
0 0 0
2 2 2
1 2 0
1 0 2
2 1 2
1 1 1
10 7
2 1 1
1 2 1
1 1 1
0 0 0
0 0 2
1 2 0
1 1 0
2 0 1
1 0 1
2 2 2
10 7
0 1 0
0 3 2
1 1 3
1 2 3
0 0 0
0 2 1
2 3 3
0 0 3
3 3 1
3 3 2
10 3
3 3 0
2 1 1
0 1 0
2 3 0
1 3 3
2 1 3
0 3 3
2 1 0
2 0 1
3 0 1
10 2
0 0 0
2 0 2
0 2 2
1 1 2
1 0 1
1 0 0
2 0 0
1 2 2
2 1 0
0 2 0
10 5
0 0 0
2 3 3
3 0 3
1 0 2
3 3 2
2 3 1
0 0 2
3 2 1
1 2 1
2 2 0
10 2
3 2 0
0 0 1
2 2 2
2 3 1
0 3 1
0 3 3
1 3 2
0 3 0
1 3 1
1 2 2
10 3
2 0 1
2 2 2
1 0 2
0 2 1
2 2 1
2 0 0
1 1 2
0 0 0
1 2 2
0 0 2
10 8
2 0 0
1 0 0
0 1 1
0 1 3
3 0 1
0 1 0
3 3 0
0 3 1
0 3 0
1 2 0
10 3
2 0 1
2 1 1
0 1 1
1 1 1
1 1 0
1 2 1
2 2 1
1 1 2
1 0 1
2 2 0
10 7
1 2 1
1 1 2
2 1 2
0 1 0
1 0 2
1 2 0
0 2 0
2 0 0
2 0 2
2 0 1
10 4
0 1 2
0 2 1
0 0 1
2 1 2
0 1 1
0 2 0
1 0 2
2 1 0
0 0 0
2 0 1
10 7
2 1 0
3 2 2
2 1 3
0 2 2
0 3 3
0 0 2
0 3 2
2 1 2
0 1 1
1 1 1
10 4
3 2 3
2 0 1
2 3 2
2 1 2
2 2 1
0 1 0
1 0 3
0 0 3
1 2 1
0 2 0
10 2
2 3 0
2 2 0
3 0 3
0 3 1
3 1 0
0 0 2
1 0 3
2 1 0
0 1 2
2 3 2
10 2
2 1 2
2 1 0
2 1 1
0 1 0
0 2 2
0 1 2
0 2 1
1 2 1
0 2 0
0 0 2
10 8
1 0 2
0 1 2
1 1 0
0 2 1
0 2 2
2 2 2
1 1 1
1 0 1
0 1 1
0 0 0
10 7
2 2 1
1 1 1
0 0 1
0 2 2
1 0 0
0 0 0
2 1 1
1 1 0
0 1 1
2 0 2
10 3
0 0 1
1 1 1
0 1 3
1 2 1
1 1 3
3 1 2
3 3 1
0 1 0
1 2 3
3 0 1
10 6
2 1 0
0 2 1
2 2 1
2 0 2
1 2 0
2 1 1
0 1 0
0 0 0
0 1 1
0 2 2
10 4
2 0 2
1 1 0
1 0 0
3 3 0
0 2 1
0 1 1
0 1 0
2 2 0
3 0 1
2 3 3
10 3
1 2 1
3 3 3
2 3 0
1 3 2
1 3 3
1 3 0
2 2 3
1 1 1
0 3 0
2 3 1
10 3
0 1 0
2 0 1
1 1 3
2 2 0
2 0 0
0 3 0
2 1 3
1 1 0
3 2 1
3 1 1
10 7
0 0 3
1 1 0
2 3 2
0 0 1
3 0 3
2 1 3
3 0 2
1 0 2
1 2 0
0 2 0
10 5
3 0 3
0 2 1
1 0 0
1 1 3
1 3 2
1 2 2
3 2 3
1 2 0
3 0 1
1 1 2
10 8
3 0 1
3 2 3
1 2 3
3 3 3
0 1 2
2 2 3
3 1 2
1 0 3
3 1 0
1 2 2
10 5
3 2 0
0 0 2
1 3 3
1 1 2
0 0 3
2 1 0
3 1 2
0 0 0
2 0 0
1 0 1
10 4
1 3 3
1 1 1
3 3 3
0 0 3
0 0 1
2 2 0
1 0 2
1 2 3
1 1 0
2 1 3
10 8
2 2 1
3 0 0
1 0 3
3 3 1
0 1 1
0 0 1
0 0 0
1 0 1
0 1 2
1 3 3
10 2
2 2 0
3 2 3
0 2 1
1 1 2
0 0 3
3 3 0
3 0 2
1 0 3
2 0 3
3 1 3
10 8
0 1 1
1 1 2
2 1 1
0 0 0
1 2 2
0 2 2
2 1 0
2 0 0
0 0 2
2 0 1
10 2
1 2 1
2 2 0
1 0 2
1 0 0
0 1 2
0 2 1
0 2 0
1 0 1
2 2 2
1 1 0
10 4
2 1 1
2 2 2
2 0 2
1 1 1
1 2 1
2 0 1
2 0 0
0 2 2
0 1 1
2 2 1
10 5
0 2 0
2 2 0
2 0 0
0 2 2
1 2 0
1 1 2
2 2 1
2 1 0
1 0 1
0 1 2
10 8
0 1 1
2 2 0
2 2 2
2 0 1
2 0 0
1 2 2
2 1 2
2 0 2
1 2 0
2 2 1
10 4
0 3 1
3 0 2
3 2 2
1 2 2
0 0 0
0 3 0
2 3 2
0 2 1
1 2 0
1 3 2
10 6
1 0 1
0 2 2
0 2 1
2 0 0
2 1 2
1 0 2
0 0 1
1 1 2
2 1 0
1 2 0
10 7
2 1 0
2 0 1
1 0 1
2 1 2
0 2 1
0 2 2
2 0 2
1 0 0
1 0 2
2 2 0
10 6
0 3 2
2 0 3
2 1 2
0 1 3
1 1 1
2 2 0
1 0 2
2 3 2
0 2 3
3 2 0
10 8
1 2 0
0 1 1
1 0 1
1 1 1
1 1 2
2 2 0
0 2 0
0 0 2
2 0 0
1 2 1
10 2
2 2 0
0 2 1
1 1 0
1 0 2
1 1 2
3 3 1
3 1 1
3 0 0
3 1 3
3 0 1
10 6
0 1 2
1 0 1
1 2 1
0 2 2
2 2 2
2 0 1
1 1 2
1 0 2
0 2 0
1 2 2
10 2
0 0 1
3 0 0
0 1 1
0 2 0
2 1 2
2 0 0
2 2 0
3 2 2
0 3 1
0 1 2
10 7
0 1 1
1 1 1
0 2 2
2 0 0
1 2 0
0 0 2
2 0 2
1 0 0
1 1 0
0 0 1
10 9
0 3 0
0 1 2
1 3 1
0 2 3
2 0 2
0 2 0
1 0 3
3 0 0
1 0 2
3 3 2
10 5
3 3 2
0 0 1
2 2 3
1 2 0
0 2 3
0 3 1
1 3 3
3 0 2
2 3 3
2 1 2
10 2
3 2 0
0 1 2
0 2 2
1 0 0
0 2 3
1 0 2
0 3 2
0 1 0
1 0 1
2 3 2
10 3
1 3 1
2 1 1
3 2 2
1 2 2
1 3 0
2 2 3
0 3 1
2 0 3
2 2 1
0 2 2
10 6
1 2 3
2 2 1
3 1 2
2 1 2
2 1 1
1 3 3
2 0 3
2 2 3
2 0 2
3 1 0
10 7
2 0 0
3 2 1
1 3 2
0 0 2
3 3 1
2 2 1
3 0 1
3 0 3
0 2 3
0 3 1
10 3
0 1 1
0 2 1
1 1 2
0 2 0
0 0 2
0 1 0
2 0 2
0 1 2
1 1 1
1 0 0
10 3
2 1 0
1 0 3
3 3 1
2 3 2
1 0 1
0 3 2
0 0 2
3 2 0
1 2 2
0 1 0
10 8
0 2 1
3 3 2
0 1 2
1 0 0
0 1 0
3 1 2
3 2 0
3 3 3
0 0 3
2 1 1
10 6
2 1 0
2 1 2
0 0 2
0 0 3
3 2 2
2 0 3
2 1 3
1 3 1
0 0 0
1 0 3
10 6
3 2 2
3 1 3
3 1 1
2 2 1
2 1 2
1 2 3
3 0 2
2 3 1
2 0 3
1 3 3
10 5
0 2 2
2 1 2
1 1 0
1 2 2
1 1 2
0 2 1
0 2 0
0 1 1
0 0 1
2 0 0
10 8
1 1 1
2 2 1
1 1 0
2 0 1
1 2 0
1 0 1
1 2 1
1 0 0
2 0 0
0 0 0
10 4
0 2 1
1 0 2
2 3 0
0 3 2
2 1 3
2 1 0
3 3 1
1 3 1
1 1 2
2 2 0
10 9
2 1 3
3 0 1
1 3 3
3 0 2
3 2 1
3 2 2
2 2 3
1 2 1
1 2 3
2 0 0
10 3
2 2 2
0 2 2
0 2 0
2 0 0
1 2 2
2 1 2
1 0 2
2 1 1
1 2 1
1 1 0
10 7
0 0 1
1 0 2
2 2 2
2 0 2
0 2 1
2 0 1
1 0 0
0 0 0
0 2 0
1 2 0
10 7
0 3 1
3 2 1
2 3 0
2 1 3
0 2 0
0 3 2
1 1 3
3 2 2
0 2 1
2 2 0
10 4
2 0 0
0 0 0
0 1 1
1 2 0
2 2 0
1 2 1
0 0 1
2 2 1
1 0 1
2 0 1
10 9
1 2 0
2 1 0
2 2 2
0 2 1
0 0 0
1 0 1
1 0 2
2 0 0
1 0 0
0 1 0
10 5
2 0 0
2 1 1
1 2 0
2 1 2
0 0 2
2 1 0
2 0 2
0 1 1
1 0 0
2 2 2
10 5
1 2 3
1 0 3
0 1 1
0 2 0
1 2 0
2 3 3
0 2 1
3 3 0
1 3 0
3 2 0
10 5
3 1 1
0 3 1
1 1 1
1 0 1
3 0 1
0 0 2
1 2 2
2 3 0
3 3 2
1 2 0
10 7
2 0 1
2 2 2
1 0 0
2 2 0
1 1 2
0 1 1
2 0 0
1 0 1
0 1 2
1 2 1
10 3
2 3 3
0 0 1
2 2 1
2 0 0
2 3 2
0 3 2
0 3 1
1 2 3
1 3 3
0 1 1
10 4
2 3 0
1 2 1
3 2 3
0 3 2
1 0 1
1 3 0
0 0 3
2 0 0
0 0 0
0 2 1
10 8
1 2 0
2 2 1
1 2 1
0 0 2
1 2 2
0 0 1
2 1 0
1 0 2
2 0 0
2 0 1
10 2
1 1 0
0 1 1
2 2 0
1 2 2
0 2 0
0 0 2
2 1 2
1 2 0
2 1 1
0 0 1
10 5
1 0 0
1 1 1
1 1 0
0 2 1
0 0 0
0 1 2
0 1 1
0 0 1
0 2 2
2 2 0
10 9
0 1 1
0 0 1
1 0 1
1 1 1
1 1 2
1 0 2
1 0 0
2 0 1
2 0 0
2 2 2
10 8
0 3 1
3 3 3
2 0 2
1 1 1
3 1 3
0 3 3
0 3 2
3 0 0
1 2 1
0 0 3
10 6
1 2 0
1 2 2
2 0 0
0 0 1
0 0 2
2 0 1
0 2 0
0 1 0
2 2 0
1 0 0
10 4
0 0 2
2 0 2
1 1 2
2 2 1
2 0 0
1 0 1
1 2 0
2 1 0
0 2 0
1 2 2
10 3
3 1 0
2 3 3
2 0 3
1 2 3
2 1 2
2 3 0
3 3 2
0 0 2
3 2 3
0 2 3
10 9
2 1 0
2 0 3
3 3 0
1 1 1
3 1 1
3 3 3
0 3 3
1 0 2
3 3 2
2 2 0
10 9
0 0 2
2 2 2
2 2 0
2 0 1
2 2 1
1 2 1
2 1 1
1 0 2
0 0 1
1 1 1
10 7
1 2 1
3 1 0
1 0 0
0 3 2
1 3 0
2 3 0
1 3 3
3 0 1
1 0 2
0 3 3
10 8
2 1 2
0 3 2
1 1 0
0 1 3
1 0 2
2 1 3
0 0 2
1 3 3
3 3 1
0 3 1
10 3
2 2 2
3 2 3
1 0 2
1 1 1
0 0 0
0 3 1
3 3 2
1 2 1
3 1 1
0 0 3
10 7
3 1 2
1 2 0
1 3 1
1 2 2
0 3 2
0 0 1
3 0 0
1 3 2
3 3 1
3 1 0
10 2
2 2 0
1 3 2
3 1 0
0 3 2
0 2 2
3 3 0
2 2 2
2 2 3
0 0 3
1 3 0
10 3
2 0 2
1 2 0
3 3 0
3 3 3
3 0 1
0 3 0
0 1 2
1 0 2
0 2 1
0 1 3
10 7
0 1 2
2 0 2
2 2 0
1 0 1
0 0 2
0 2 0
1 2 2
0 0 0
0 1 0
2 1 1
10 2
1 1 0
0 1 1
2 0 0
0 0 2
1 1 1
1 0 0
2 1 0
2 2 0
0 2 2
0 1 0
10 4
0 0 1
2 2 1
1 2 0
0 1 0
1 0 0
1 2 1
0 0 2
2 0 1
1 0 2
2 1 1
10 9
3 2 2
2 0 2
0 3 2
1 2 0
0 3 1
1 2 1
2 3 2
2 1 3
3 2 3
2 0 0
10 5
3 0 0
3 1 2
2 2 0
1 0 1
1 2 2
2 2 2
3 2 1
2 2 1
1 1 1
1 3 1
10 7
0 2 0
2 0 1
0 1 0
1 1 2
1 2 1
1 1 1
0 0 2
1 2 2
0 1 2
0 2 2
10 9
1 1 0
0 3 0
0 2 3
1 1 1
2 3 3
1 3 0
2 2 2
0 0 2
3 3 0
1 2 3
10 5
1 1 2
0 1 0
2 1 1
0 1 2
1 0 2
1 0 1
0 0 0
0 0 1
0 2 1
0 2 0
10 9
0 1 0
2 0 3
3 2 1
2 3 1
1 2 2
3 1 1
2 2 1
3 3 1
2 2 0
0 2 3
10 6
0 1 0
2 1 3
3 2 2
3 3 3
1 0 1
0 3 3
0 1 2
3 3 0
1 1 0
0 2 2
10 3
0 1 0
2 2 1
2 0 0
0 0 0
1 0 0
1 2 1
2 0 2
1 0 2
0 1 1
1 1 0
10 9
0 0 2
2 0 1
2 0 0
1 1 1
0 0 1
0 2 1
0 1 2
0 1 1
0 1 0
2 1 2
10 3
1 3 0
2 3 1
2 3 2
2 1 1
3 0 3
2 0 0
3 2 3
0 3 2
2 0 2
1 3 1
10 4
2 3 3
1 0 0
1 0 3
0 2 0
3 2 3
3 2 0
2 3 0
2 3 1
0 1 0
0 1 2
10 4
2 0 0
2 1 2
1 0 0
1 0 1
0 2 0
1 2 2
0 0 1
0 0 2
0 2 2
1 1 1
10 9
2 0 0
1 2 0
1 0 1
2 1 2
1 1 2
2 0 2
1 2 2
0 0 0
0 0 2
1 2 1
10 8
1 2 1
2 0 0
0 3 1
0 0 3
2 1 2
2 3 3
2 2 1
0 1 3
0 2 0
1 3 3
10 6
3 2 0
0 1 0
1 1 1
3 2 2
3 1 1
3 1 2
3 0 1
2 2 2
3 3 0
0 0 3
10 4
1 2 1
3 3 3
1 0 2
1 3 2
3 0 3
3 0 1
0 2 2
1 0 3
0 2 0
3 2 0
10 3
1 1 3
0 1 2
3 1 3
1 1 0
3 1 1
2 1 2
1 2 0
0 2 2
2 2 3
3 2 2
10 3
2 0 2
2 0 1
0 1 1
0 2 0
2 2 1
1 2 2
1 0 1
0 1 2
1 1 0
1 1 2
10 9
0 0 1
1 0 1
2 2 0
0 2 0
2 1 0
1 2 1
2 0 1
0 0 2
1 0 2
1 0 0
10 3
0 2 1
0 1 1
1 0 0
2 2 2
0 2 0
2 1 1
0 0 2
2 0 2
0 0 1
0 1 0
10 7
2 0 0
3 1 3
3 2 2
3 0 1
0 1 1
1 0 3
0 1 3
3 3 2
0 0 0
2 2 1
10 6
2 2 2
1 0 1
3 3 2
1 2 0
2 1 1
0 0 0
2 3 2
3 2 1
2 1 0
1 3 3
10 9
0 0 2
1 1 2
2 0 2
0 2 1
0 1 2
1 2 1
0 1 1
1 2 2
2 2 1
1 1 1
10 4
0 1 0
0 1 1
2 2 0
1 2 0
2 2 1
2 1 0
0 0 1
1 1 0
1 0 1
1 1 2
10 5
1 2 2
0 0 0
2 1 0
0 1 2
1 1 2
1 0 2
0 2 1
1 2 0
0 0 1
2 0 0
10 6
2 0 2
1 0 0
1 0 1
0 0 2
0 1 1
2 1 2
1 1 1
2 0 1
1 1 2
1 2 1
10 4
1 2 0
3 3 2
3 2 2
0 2 3
3 3 0
1 2 3
1 3 3
2 3 2
0 0 0
1 1 0
10 7
0 2 1
1 0 1
0 1 2
2 2 1
2 1 0
0 2 0
2 0 0
2 2 2
1 2 2
2 2 0
10 3
0 0 3
3 3 1
3 2 2
3 0 0
0 0 1
1 0 3
1 2 0
2 0 0
2 2 3
2 1 1
10 7
2 1 1
0 0 0
1 0 2
0 0 2
1 1 1
0 2 0
2 0 2
2 2 2
2 0 1
2 1 0
10 3
0 2 2
0 0 1
0 1 0
0 0 0
0 0 2
0 1 1
1 0 1
0 1 2
0 2 1
1 1 1
10 2
3 0 2
1 0 1
1 1 1
2 1 1
1 3 3
0 1 0
2 0 0
0 1 3
3 3 0
2 1 3
10 6
0 0 2
0 2 2
0 2 0
1 0 2
2 0 1
1 2 1
0 1 2
1 2 0
0 1 0
2 1 1
10 9
0 0 0
2 1 1
3 2 0
0 2 0
3 1 1
0 1 2
1 2 1
3 0 1
1 1 0
2 3 3
10 8
3 3 2
3 3 3
2 2 3
0 2 0
2 1 1
3 1 1
1 2 3
1 1 0
0 3 0
3 3 1
10 8
0 2 0
2 3 0
2 2 1
3 0 1
0 1 0
2 1 3
0 2 3
0 2 1
0 1 1
0 0 0
10 5
1 1 2
2 2 2
0 1 1
0 0 1
0 0 2
2 0 1
2 0 2
0 0 0
1 0 1
2 2 0
10 4
2 1 2
0 2 1
1 2 1
0 1 0
3 1 1
1 1 0
1 2 2
3 3 1
2 2 0
1 0 3
10 7
1 2 3
2 3 3
0 0 2
1 2 2
0 3 3
3 0 0
3 2 1
0 3 2
2 0 2
3 0 1
10 2
0 2 1
2 1 2
2 2 2
2 2 1
0 2 0
1 1 1
1 2 0
1 0 1
1 1 2
1 1 0
10 4
1 1 1
1 1 0
2 1 1
0 2 2
1 2 2
2 1 2
0 1 0
0 2 0
2 2 2
1 0 0
10 6
1 2 3
3 1 1
0 2 0
2 2 2
2 3 0
1 0 1
0 0 2
1 0 3
1 0 2
2 1 0
10 7
3 1 1
3 2 0
2 1 0
2 3 0
2 2 1
1 0 1
0 3 3
1 3 1
3 3 3
0 1 2
10 3
2 0 2
2 2 0
2 1 1
1 0 2
0 1 0
2 2 2
2 0 0
2 1 0
1 1 1
2 0 1
10 8
1 0 2
0 1 2
1 1 2
0 0 2
2 3 2
3 0 1
3 0 0
3 1 1
0 1 1
1 2 0
10 4
1 0 1
0 1 0
2 0 2
1 1 0
0 0 0
0 2 0
2 1 0
1 2 0
2 1 1
2 0 0
10 7
0 2 2
0 1 0
1 1 2
1 0 0
2 2 2
0 0 2
0 0 1
2 0 2
0 2 0
2 2 0
10 6
1 1 1
1 0 2
2 1 1
0 0 0
1 2 2
2 0 0
2 1 2
0 1 2
0 0 1
1 2 1
10 8
0 2 2
2 1 1
2 2 2
2 2 0
1 0 1
2 0 1
0 1 1
0 0 1
1 1 0
1 0 2
10 7
1 2 1
3 3 1
1 2 2
1 3 1
1 0 2
3 0 2
1 1 1
3 3 3
2 1 1
2 3 1
10 8
1 2 1
2 0 1
2 1 1
1 1 1
1 1 2
1 0 2
0 1 1
0 2 1
2 2 2
0 0 1
10 6
3 1 1
1 0 1
0 3 1
2 0 2
3 1 2
2 1 2
3 2 3
2 3 3
2 1 1
0 3 0
10 3
0 1 1
2 1 1
3 3 0
0 1 3
2 0 2
1 0 2
1 1 2
1 0 3
1 2 0
1 0 1
10 6
0 0 0
2 0 0
0 0 2
1 1 0
1 1 2
0 2 0
2 1 0
2 1 1
2 0 2
1 2 2
10 3
1 1 1
1 0 1
2 0 2
2 0 0
0 2 0
2 0 1
1 2 1
2 2 0
2 2 1
0 2 2
10 3
2 0 0
1 1 2
1 2 0
1 2 1
2 0 1
0 1 0
0 1 1
2 1 1
1 1 0
1 0 0
10 8
1 0 1
0 2 1
0 2 2
2 2 1
2 2 2
1 1 1
0 0 2
2 0 2
1 1 2
0 2 0
10 7
1 2 2
0 1 0
0 2 0
0 0 2
2 1 0
2 2 1
1 1 0
2 1 1
0 2 2
1 2 1
10 3
1 0 1
0 1 2
1 1 1
2 0 0
2 2 2
1 1 0
2 1 2
2 2 0
0 0 0
2 2 1
10 6
1 3 3
1 2 1
0 2 2
3 2 0
3 1 2
1 2 2
2 2 0
3 1 3
0 0 2
1 3 0
10 4
2 0 3
3 2 2
2 0 1
3 1 2
1 0 0
2 0 2
3 3 1
0 2 2
0 3 0
1 0 2
10 3
2 2 0
0 2 1
1 1 2
2 0 1
0 1 0
0 0 1
0 2 2
1 0 2
1 0 0
0 0 0
10 5
1 2 2
0 0 1
0 2 2
2 2 0
1 2 0
0 1 0
0 1 2
1 1 2
1 0 2
2 1 1
10 3
0 2 1
0 2 0
2 0 2
1 0 0
0 2 2
2 1 2
2 1 0
1 0 2
2 2 0
2 2 2
10 9
0 1 2
2 1 1
2 2 0
2 1 2
0 0 0
0 0 2
1 1 0
0 2 0
1 2 0
1 0 2
10 4
3 1 2
3 1 1
0 3 3
1 2 3
0 2 1
0 1 3
1 2 2
2 3 1
3 0 2
1 2 1
10 4
2 0 0
1 2 0
0 2 2
0 0 2
2 1 1
1 2 1
0 1 1
2 2 1
0 0 0
0 1 0
10 9
0 0 0
2 0 2
2 1 2
0 1 1
1 0 0
2 1 1
1 0 1
1 2 1
1 1 0
2 0 1
10 3
1 2 0
1 1 0
2 2 2
2 1 0
0 0 0
0 2 1
1 0 1
1 2 1
2 0 0
0 2 2
10 4
0 2 2
1 2 0
2 0 2
2 2 2
1 0 0
1 2 1
0 0 0
0 1 1
0 2 1
0 0 2
10 3
0 3 1
3 2 1
1 1 2
2 1 3
1 0 1
3 0 1
3 2 0
1 2 3
1 1 1
1 2 1
10 7
3 3 1
1 2 0
0 1 0
2 0 2
1 3 1
1 3 0
1 0 1
2 3 1
3 3 3
1 1 0
10 6
2 1 1
2 2 0
3 0 0
0 2 3
2 1 3
0 0 3
3 3 1
1 1 3
3 0 2
0 1 2
10 5
2 0 2
2 1 2
3 3 2
3 1 2
0 0 3
1 2 3
3 2 2
3 2 1
2 2 2
2 3 2
10 7
1 1 1
1 1 2
1 0 1
2 1 1
0 0 0
1 1 0
1 2 2
2 2 2
1 0 2
2 1 0
10 4
1 0 0
1 3 2
0 1 3
2 2 2
1 0 1
3 3 3
3 2 0
2 3 1
2 2 0
1 3 1
10 5
1 1 0
1 2 1
1 0 2
2 2 0
0 2 2
1 0 1
1 1 2
2 0 1
2 0 0
1 1 1
10 4
0 1 1
0 0 0
2 1 0
2 2 1
2 1 1
2 1 2
2 2 0
1 2 2
0 1 2
0 2 2
10 8
1 1 1
1 0 1
1 2 2
2 0 2
2 2 0
2 1 2
2 2 1
0 1 0
0 2 2
0 2 0
10 8
0 1 3
1 1 0
2 0 2
0 0 1
0 3 3
1 2 0
2 2 2
0 0 2
3 2 0
2 3 2
10 9
3 2 1
2 3 2
2 1 1
2 0 1
2 0 2
0 0 3
1 1 3
0 1 1
2 0 0
3 1 3
10 7
1 1 2
0 1 0
0 0 0
0 2 0
1 0 1
0 2 2
1 2 2
2 2 0
1 0 0
0 0 2
10 3
2 1 0
0 2 1
2 2 1
0 0 1
1 2 1
1 1 1
2 0 0
1 1 2
1 0 2
0 2 2
10 8
2 2 1
2 1 2
1 0 1
0 0 2
2 1 1
1 2 1
1 1 0
0 2 2
2 0 0
2 0 1
10 3
0 0 1
1 0 0
0 2 0
2 1 0
0 2 2
2 2 1
0 1 2
0 0 0
2 0 1
1 0 1
10 8
2 2 1
2 2 2
1 1 0
1 0 1
2 1 0
2 0 0
2 1 1
2 0 1
1 2 1
2 2 0
10 3
2 0 2
1 1 2
1 0 1
3 1 0
3 3 0
3 0 3
0 1 1
3 0 2
2 1 1
1 2 3
10 7
1 2 0
2 2 0
2 1 2
0 1 0
0 0 1
1 1 1
2 1 1
1 0 2
1 2 2
0 0 0
10 5
0 2 0
1 0 0
1 2 2
0 1 0
1 1 1
0 1 2
0 1 1
1 1 2
1 2 0
2 2 1
10 9
1 2 2
0 1 0
2 1 0
2 2 0
1 0 0
1 0 1
0 2 0
0 2 1
1 0 2
2 2 1
10 3
0 2 1
0 1 2
3 0 1
3 1 2
1 0 0
2 2 2
2 3 3
0 0 3
3 3 1
0 2 0
10 8
0 2 2
1 0 2
0 1 0
0 0 2
2 2 1
1 1 2
1 0 1
1 2 0
2 1 1
1 1 0
10 2
1 0 1
2 1 2
0 0 2
2 2 1
2 0 2
1 0 2
2 1 0
1 1 1
1 1 2
0 2 0
10 3
1 3 1
1 3 0
1 2 2
2 3 1
1 2 1
1 3 2
1 2 0
2 3 0
3 3 3
2 2 2
10 8
1 2 2
2 2 2
2 2 1
0 2 1
0 1 2
1 1 0
0 1 0
2 2 0
1 1 2
0 0 0
10 8
1 3 0
3 0 2
0 0 3
2 2 2
1 1 3
1 0 3
3 1 1
0 2 3
0 0 1
0 3 0
10 3
0 1 1
1 0 1
0 1 2
2 1 0
1 0 2
0 2 2
1 1 1
0 2 0
2 0 0
0 2 1
10 2
2 1 2
2 1 1
1 1 0
2 0 1
0 2 0
0 1 1
0 0 0
1 0 2
1 1 2
1 0 1
10 3
0 2 2
1 1 2
2 2 1
2 2 0
1 0 0
1 2 1
2 0 0
0 0 0
2 1 0
2 0 2
10 6
1 1 0
0 2 2
0 1 1
0 2 1
0 0 2
0 0 0
1 2 2
1 0 0
0 1 0
2 2 0
10 9
1 2 2
0 2 2
1 0 2
0 1 1
1 2 1
2 0 2
1 1 0
2 0 0
0 1 0
2 1 2
10 7
0 0 0
2 2 0
0 1 0
0 1 1
0 0 3
0 2 2
2 0 2
3 3 1
2 3 1
3 2 1
10 8
1 1 0
0 0 2
1 1 1
2 0 1
1 0 2
1 1 2
1 0 0
0 1 2
1 2 2
2 0 0
10 5
2 1 2
3 1 1
3 3 2
1 2 2
1 1 3
2 0 2
0 3 2
3 3 0
1 2 1
0 0 2
10 9
0 1 1
0 1 2
2 1 2
0 1 0
0 2 2
1 0 1
2 0 2
2 0 0
0 0 1
1 0 0
10 8
3 1 3
0 2 0
2 2 3
1 3 0
2 2 1
2 0 0
2 0 2
0 1 0
1 2 0
0 0 1
10 2
0 0 1
2 3 1
3 3 0
1 0 1
2 1 0
1 2 1
2 1 1
0 0 0
1 1 0
1 2 2
10 5
1 2 3
3 1 0
3 0 1
0 3 2
1 3 0
2 3 1
2 3 0
2 2 0
1 1 0
3 1 2
10 6
3 0 3
0 3 3
3 1 2
0 2 0
3 3 0
0 3 2
0 0 3
3 1 3
3 2 1
3 2 3
10 5
0 2 2
3 3 0
2 1 3
3 0 0
3 2 3
0 3 1
0 3 0
1 0 1
3 2 2
0 3 3
10 9
1 2 2
0 2 0
3 0 2
1 3 0
2 3 1
1 2 1
2 0 2
0 0 0
3 3 2
2 1 2
10 3
0 0 1
2 0 0
1 1 1
1 0 2
2 2 2
0 2 1
2 2 0
2 1 0
1 0 1
1 2 2
10 8
0 1 0
0 3 0
3 2 3
2 1 1
3 3 3
3 3 0
1 3 1
0 0 2
1 0 3
1 2 0
10 8
0 2 3
1 2 3
0 1 1
3 1 2
1 0 1
2 3 1
3 2 3
3 1 0
1 3 2
1 0 0
10 3
1 0 2
1 1 0
0 0 2
1 1 2
0 2 2
2 0 1
0 1 1
1 1 1
2 0 2
2 1 2
10 3
1 2 0
2 0 2
1 1 1
2 2 2
0 1 0
0 1 1
0 2 1
0 2 0
1 1 0
1 0 1
10 7
1 1 2
2 1 2
1 1 1
0 1 1
0 2 2
2 2 1
0 1 2
0 2 1
2 0 1
2 0 0
10 9
0 1 2
2 1 2
2 2 2
2 2 0
0 0 0
2 0 1
1 2 1
0 2 0
2 1 0
0 0 2
10 2
1 1 1
2 0 0
2 1 2
0 0 1
2 0 2
1 1 2
1 0 0
0 0 2
0 2 2
2 1 1
10 8
0 1 1
1 0 3
2 1 0
1 3 1
1 1 0
3 1 1
2 2 2
0 3 2
2 0 0
1 0 2
10 7
3 2 1
2 1 3
1 1 2
3 3 1
0 1 2
1 3 2
0 1 3
1 3 1
3 2 2
3 1 0
10 6
2 2 3
0 1 2
0 1 1
2 1 0
2 2 1
1 3 3
1 2 3
2 0 0
3 0 2
1 0 2
10 8
0 2 2
2 2 1
1 2 1
2 1 2
2 0 1
2 2 2
1 0 0
2 0 2
1 1 0
0 1 1
10 5
3 1 2
1 2 1
0 0 2
1 0 2
3 1 3
3 3 0
2 3 2
1 0 0
0 2 1
1 2 2
10 8
3 3 0
3 1 2
0 1 2
1 1 3
2 1 0
1 0 1
1 0 0
1 1 0
2 1 1
2 1 2
10 5
2 0 2
0 0 0
2 0 1
2 2 0
0 0 1
1 1 2
2 1 2
2 1 1
1 0 2
1 1 0
10 9
0 1 2
2 1 1
0 2 0
0 2 2
2 2 0
2 0 0
0 0 1
0 0 0
0 1 1
2 1 0
10 6
2 2 0
0 2 1
0 0 2
0 2 2
1 0 0
2 0 2
1 2 1
0 1 0
2 2 2
2 1 1
10 7
0 1 0
1 2 2
1 0 0
0 2 0
2 0 0
1 0 1
1 2 1
0 1 1
2 1 2
2 1 1
10 9
1 1 0
0 1 1
1 2 0
2 2 0
1 1 1
2 1 1
0 0 2
1 0 0
1 1 2
2 0 1
10 2
1 2 1
1 3 2
2 0 2
0 0 3
1 0 1
1 0 2
1 2 3
3 1 2
2 3 3
2 0 0
10 6
0 0 2
3 3 1
1 0 1
1 2 2
2 2 1
1 1 3
2 2 3
0 3 0
0 1 3
1 3 3
10 7
1 0 1
1 1 1
2 0 0
2 2 0
2 2 2
0 2 0
1 1 2
0 2 1
0 1 2
1 0 2
10 4
1 1 2
1 0 2
1 2 2
3 0 2
3 2 0
0 2 0
0 3 0
0 0 1
1 2 3
0 0 3
10 4
1 0 0
0 0 1
0 0 0
2 3 2
1 3 0
0 3 1
0 0 3
1 1 1
1 2 2
0 2 2
10 3
2 0 1
2 1 1
0 2 0
0 1 0
2 0 0
2 0 2
2 1 2
1 0 0
1 0 1
1 2 1
10 4
2 2 0
1 0 1
2 2 3
0 3 3
2 0 1
1 2 3
0 3 1
1 1 0
1 3 0
0 0 3
10 6
0 0 1
1 0 2
0 0 2
1 2 0
1 2 2
2 0 0
2 1 1
2 1 2
1 2 1
0 1 2
10 9
2 1 1
2 0 0
0 1 1
1 1 0
1 2 0
2 2 2
1 2 2
1 1 1
0 0 0
2 2 0
10 8
0 2 3
2 2 0
3 0 0
3 2 2
0 2 1
1 0 2
1 1 3
3 0 3
3 3 0
0 3 2
10 9
1 0 2
2 1 2
1 2 3
0 0 0
3 1 1
3 3 3
3 1 0
3 3 2
0 1 3
1 3 2
10 2
1 0 2
2 1 0
2 1 2
2 2 1
2 0 0
0 2 0
1 1 2
0 2 1
1 2 2
2 0 2
10 5
0 0 0
2 0 0
3 3 3
2 0 3
2 3 3
0 2 0
3 1 0
3 1 3
1 3 0
3 0 3
10 3
1 3 0
0 1 0
3 2 0
2 2 1
1 3 1
3 1 2
2 3 0
0 2 2
2 1 1
1 1 3
10 6
1 0 0
1 2 2
2 1 0
1 1 0
0 1 0
0 0 1
0 2 1
0 1 2
0 2 2
1 0 1
10 6
2 3 3
1 3 1
0 2 1
0 0 0
3 3 1
0 1 0
1 1 2
0 2 0
1 1 0
0 0 3
10 2
0 2 1
2 2 2
1 0 0
1 3 3
0 0 3
3 1 0
3 3 0
1 2 0
1 2 2
0 3 0
10 6
0 0 0
0 2 1
2 0 2
0 0 1
1 2 0
1 1 0
2 1 0
1 2 2
0 2 0
0 0 2
10 5
2 3 1
3 0 3
0 3 3
1 3 0
2 0 1
0 3 0
0 1 2
1 2 2
0 2 3
1 1 2
10 7
2 0 2
1 1 1
1 2 0
2 0 0
0 2 2
2 2 2
1 0 0
1 0 1
1 2 2
0 0 0
10 9
0 1 2
1 1 1
2 1 2
1 0 1
1 1 0
0 1 0
0 0 2
1 0 0
2 0 1
1 2 0
10 4
1 1 1
0 1 3
0 1 1
0 2 2
2 2 0
1 2 0
2 1 1
1 0 3
2 0 3
3 1 3
10 9
0 1 2
1 2 0
0 2 2
2 2 2
3 1 3
3 0 3
2 1 1
2 0 0
1 1 3
0 0 0
10 8
0 3 0
0 0 3
3 1 0
0 1 1
3 3 2
2 3 1
0 2 1
1 3 2
0 3 2
1 2 2
10 3
0 2 0
1 0 0
2 0 1
1 0 1
0 2 2
2 1 1
0 2 1
0 0 0
0 0 1
0 1 1
10 6
2 1 2
0 0 0
2 2 0
1 1 1
0 1 0
1 2 0
2 0 1
0 1 2
1 2 1
0 2 2
10 4
0 0 2
1 2 0
1 0 0
0 0 0
0 2 1
0 0 1
1 0 1
0 1 2
2 1 0
2 2 1
10 7
3 1 1
1 2 1
0 1 2
1 3 2
3 1 3
1 0 0
2 1 1
3 2 2
2 3 0
1 2 0
10 7
2 2 1
0 2 0
0 1 0
1 2 0
2 1 0
1 2 1
0 2 1
0 1 1
0 0 0
2 0 1
10 3
1 3 1
3 1 2
0 1 3
0 0 3
2 1 1
1 1 0
0 2 2
2 2 2
3 2 1
2 3 3
10 7
3 0 3
0 3 3
1 2 3
0 2 0
2 3 2
2 2 1
3 3 0
3 2 0
2 2 0
1 2 2
10 9
2 1 0
3 2 3
3 3 0
1 3 2
2 2 2
1 3 3
2 3 2
0 3 0
2 2 1
3 1 1
10 9
1 1 1
0 2 0
2 0 2
1 1 2
1 0 1
1 0 2
2 0 1
2 1 0
0 1 2
2 2 1
10 4
2 1 3
1 1 1
0 2 2
2 2 2
1 0 0
0 0 2
2 0 3
1 2 3
0 2 0
1 3 0
10 4
1 2 1
1 2 2
2 2 0
2 0 0
0 0 1
1 0 1
0 1 1
2 2 1
2 0 2
2 1 1
10 8
0 2 1
0 2 0
1 2 0
2 2 2
2 1 0
1 2 1
0 1 1
0 0 2
2 1 1
0 2 2
10 6
0 1 3
1 2 2
2 2 1
3 3 1
0 2 2
1 2 1
0 3 3
3 1 3
1 3 0
1 3 1
10 7
2 2 1
1 1 2
2 0 1
0 1 1
1 1 0
0 0 1
1 0 1
0 1 0
2 2 2
0 2 1
10 8
2 2 1
0 2 2
0 2 0
1 0 0
0 1 0
1 2 0
1 0 2
2 1 1
2 0 0
0 1 1
10 6
1 0 2
2 1 0
0 0 1
2 0 2
2 2 1
0 2 0
2 1 2
2 0 0
1 2 1
1 1 0
10 5
2 2 2
2 1 1
2 1 0
0 2 2
1 2 0
1 1 1
0 0 1
0 1 0
2 2 1
1 0 0
10 2
2 0 2
1 0 2
1 1 2
2 1 1
0 0 0
0 1 1
1 2 1
0 2 2
2 1 0
2 0 1
10 9
3 2 0
2 3 0
3 3 0
0 3 0
3 2 3
3 0 0
1 1 0
2 1 3
0 3 3
3 1 3
10 2
0 2 1
2 0 1
0 1 1
2 2 0
1 2 2
1 2 0
1 0 1
1 1 1
1 1 0
2 0 0
10 3
2 0 2
3 0 0
1 2 2
1 1 0
3 3 2
2 3 0
3 3 1
0 3 0
2 2 3
2 3 3
10 8
2 3 3
0 2 1
2 0 2
0 3 0
3 0 3
2 0 1
3 2 0
1 3 0
3 3 3
1 3 3
10 4
0 2 2
0 1 2
2 2 1
2 2 3
1 2 2
0 0 0
2 1 2
3 1 1
0 2 1
1 1 1
10 5
1 0 2
3 0 1
3 3 2
2 2 2
0 2 3
1 1 0
2 1 3
1 1 1
0 2 1
2 3 1
10 9
2 0 1
0 2 0
1 0 2
1 1 1
2 1 0
0 1 2
2 0 0
2 2 2
0 0 2
2 1 1
10 8
3 3 2
2 0 2
0 0 3
0 2 0
1 1 2
3 0 3
2 1 1
2 1 3
0 3 1
0 3 2
10 5
2 1 3
3 2 3
3 1 1
1 2 3
2 0 3
3 1 0
0 1 3
1 3 1
2 2 2
3 3 0
10 3
3 1 3
2 3 1
3 2 1
1 2 1
0 2 3
3 3 1
2 2 1
1 1 1
1 3 2
0 2 0
10 3
1 1 0
2 2 2
2 1 2
3 2 0
3 3 0
3 3 1
1 0 1
0 2 2
0 0 0
2 0 2
10 6
0 2 0
2 3 0
1 0 2
2 2 0
0 3 3
3 2 3
0 2 1
3 3 2
1 3 3
2 2 1
10 4
2 2 0
1 2 1
2 1 1
0 1 0
2 2 2
1 0 0
2 2 1
0 1 1
2 0 2
1 1 2
10 6
2 2 0
1 2 1
1 0 2
2 1 1
1 1 1
2 0 2
0 0 0
0 1 1
0 2 0
2 0 1
10 3
2 1 2
3 2 3
1 0 2
1 0 3
0 0 3
3 1 1
0 1 0
3 1 0
0 1 2
2 3 3
10 9
2 1 1
0 0 2
2 3 2
0 2 1
2 3 0
3 3 3
0 1 2
2 0 2
1 0 2
0 2 2
10 3
2 1 2
0 3 0
3 0 1
0 0 2
1 0 3
2 1 3
1 1 0
0 1 1
1 1 3
2 0 1
10 2
0 1 1
2 1 2
0 2 0
2 0 0
2 0 2
1 2 2
2 0 1
1 1 1
2 2 1
0 1 0
10 5
0 0 0
1 2 2
2 2 2
0 2 0
0 2 3
1 3 0
3 1 2
1 1 2
0 1 3
2 2 1
10 7
1 0 2
0 1 1
3 3 3
0 2 2
2 3 3
0 1 0
2 0 3
3 3 1
3 2 2
1 3 0
10 3
2 0 1
1 0 0
2 0 2
2 1 1
1 2 2
2 2 2
2 1 2
0 0 1
1 2 1
0 2 0
10 8
0 1 0
2 0 2
1 0 0
2 0 0
0 2 2
1 2 0
2 2 2
1 1 1
0 2 0
2 2 1
10 8
2 1 3
0 0 2
0 1 0
2 0 1
3 3 3
2 2 3
1 2 2
2 3 0
2 3 1
3 0 2
10 7
1 0 0
0 1 1
2 1 0
2 0 0
1 2 1
1 2 0
0 0 1
2 2 2
1 0 2
0 2 0
10 7
3 3 2
0 3 3
1 2 0
1 3 1
2 0 2
0 1 3
3 0 2
0 1 1
2 1 1
1 3 3
10 4
2 0 2
0 2 1
0 2 0
1 2 1
0 1 0
1 2 0
0 1 2
0 1 1
3 2 2
0 2 2
10 6
0 3 2
3 2 0
1 3 3
0 3 1
3 0 0
1 1 3
0 3 0
1 1 0
3 1 3
0 1 2
10 5
3 3 0
3 2 2
2 0 1
1 0 0
1 1 1
3 0 2
3 2 3
0 2 3
0 2 0
2 2 2
10 8
2 2 1
1 1 2
0 1 2
1 2 1
2 1 0
1 2 2
0 0 0
0 2 0
1 0 2
1 0 1
10 6
0 1 0
2 2 0
2 1 2
2 2 1
1 2 1
2 1 1
0 1 2
2 0 1
0 2 1
0 0 1
10 7
0 0 0
3 2 1
0 3 0
1 2 2
2 1 1
3 2 0
2 0 0
3 1 2
1 2 3
0 1 1
10 4
2 2 1
2 1 1
0 1 0
0 2 2
1 0 1
0 0 1
1 0 2
2 0 2
2 2 0
0 1 1
10 5
3 2 1
3 2 3
2 1 1
2 0 0
1 3 2
0 3 3
2 2 2
2 3 1
2 1 0
3 3 1
10 4
0 2 0
1 0 2
2 0 2
0 2 2
2 0 0
0 0 1
2 2 0
1 0 0
0 0 2
1 2 0
10 5
0 0 1
0 0 2
1 0 1
1 1 1
2 2 2
2 0 1
0 0 0
0 2 0
0 2 2
0 1 1
10 7
2 0 1
1 0 0
0 0 2
0 2 2
1 2 0
0 0 0
2 0 0
0 0 1
1 0 1
0 1 1
10 7
1 1 1
2 1 0
0 1 1
1 0 1
1 1 2
2 2 1
2 1 2
2 0 1
1 2 0
1 2 1
10 6
2 2 2
1 0 1
0 3 2
0 0 0
3 3 2
0 2 2
1 3 3
3 0 3
3 1 1
3 2 0
10 3
1 2 2
0 2 2
2 2 1
0 1 2
2 2 0
0 0 1
0 0 0
0 2 0
1 0 1
1 0 2
10 9
1 1 2
3 1 1
3 3 0
0 2 1
0 2 2
1 1 3
1 2 3
0 3 0
0 0 2
3 2 2
10 4
2 0 2
1 1 1
2 1 1
3 0 1
3 3 3
0 1 3
3 0 0
0 0 1
1 2 0
0 1 1
10 9
1 0 1
2 0 2
2 0 1
0 2 2
2 1 1
0 0 0
2 0 0
0 2 1
1 1 1
2 2 0
10 7
2 1 0
2 2 3
3 1 2
3 0 2
2 3 0
0 1 0
0 2 2
1 3 2
2 2 2
1 3 0
10 8
1 0 0
0 2 1
1 1 0
1 2 2
1 0 1
2 1 0
2 1 1
2 2 0
2 0 0
0 0 2
10 5
0 1 2
0 0 1
0 1 0
2 1 2
2 0 1
0 0 2
2 0 2
2 2 1
2 2 2
1 2 2
10 6
1 2 3
1 2 0
3 1 3
3 3 0
2 1 0
1 3 2
0 0 1
0 2 0
0 3 2
0 1 2
10 5
2 1 2
0 1 0
0 2 1
0 0 1
2 2 2
2 0 0
1 1 0
0 1 1
0 1 2
2 2 0
10 4
0 2 0
3 0 0
2 3 0
1 3 3
1 1 3
3 2 3
1 1 0
1 0 3
0 0 2
1 2 3
10 8
0 1 0
0 2 1
1 1 2
1 0 1
1 0 2
0 1 1
2 2 2
0 0 1
2 2 0
1 2 0
10 8
2 1 0
1 2 2
0 1 2
2 1 2
1 1 2
1 0 1
1 1 1
1 0 0
0 0 0
1 1 0
10 9
0 1 3
2 0 0
2 3 0
0 1 1
2 2 0
1 0 0
1 3 0
0 2 2
1 2 0
2 1 2
10 6
0 0 1
0 0 2
0 2 1
2 2 0
2 2 2
2 1 1
0 1 2
1 0 2
0 2 0
2 2 1
10 3
1 0 0
1 1 2
1 3 3
3 1 0
3 2 2
1 0 3
1 1 0
3 3 3
3 3 1
2 0 0
10 7
1 1 0
2 2 1
0 2 2
0 1 2
2 0 0
0 1 1
2 1 1
2 0 1
1 2 2
1 1 1
10 8
2 1 0
2 1 1
1 1 0
0 0 1
0 1 2
0 1 0
1 1 1
2 2 2
1 0 2
2 2 1
10 5
0 0 1
0 2 2
1 0 1
2 0 0
2 1 0
2 1 1
2 1 2
0 2 1
0 0 2
1 1 0
10 7
0 1 0
0 0 2
0 2 0
0 1 2
1 0 1
2 0 2
0 2 2
2 1 2
1 2 0
2 2 2
10 6
2 0 3
2 1 0
0 2 3
0 2 0
1 0 2
1 1 3
3 1 3
1 0 1
1 1 0
1 2 0
10 8
2 1 0
2 2 0
3 2 1
0 2 2
3 3 0
1 1 3
1 0 2
0 2 0
3 2 3
1 2 2
10 3
1 1 3
1 0 0
1 1 0
3 2 3
3 2 2
3 2 1
3 0 3
3 1 3
2 3 1
2 2 1
10 5
0 1 0
1 1 1
1 2 0
0 0 2
2 0 1
1 0 1
2 2 1
0 1 2
1 0 0
2 2 2
10 5
2 2 1
0 0 1
0 0 0
1 2 2
2 0 2
1 0 0
2 1 1
1 1 1
1 1 0
2 0 1
10 4
1 3 3
0 3 0
2 1 3
2 2 1
1 0 2
2 0 0
1 1 2
2 2 3
3 3 1
0 1 1
10 6
2 1 1
0 0 1
2 1 0
2 2 0
2 2 2
1 2 1
1 1 0
0 2 1
2 1 2
0 2 0
10 3
0 0 2
1 0 0
0 1 0
2 1 2
0 1 1
2 1 0
2 2 2
2 2 0
1 0 2
2 0 2
10 8
0 3 1
0 1 1
0 1 2
3 3 1
1 2 2
0 0 3
3 1 2
3 1 1
2 0 1
2 3 0
10 9
1 2 2
1 0 0
0 1 0
0 2 1
0 1 2
1 2 1
0 0 0
1 0 2
1 1 2
2 2 2
10 4
2 1 2
0 0 0
2 0 2
2 2 1
0 2 2
2 2 2
1 2 1
1 0 1
1 1 1
1 0 2
10 9
0 0 1
0 1 1
2 1 1
1 0 0
0 0 0
2 2 0
2 1 0
1 2 0
1 1 0
0 2 2
10 4
3 0 3
2 2 0
2 3 1
0 0 0
2 3 0
2 0 2
0 3 3
3 3 0
3 1 3
1 0 1
10 6
2 0 0
2 2 0
1 1 1
1 0 1
2 1 1
1 0 0
1 1 0
2 0 2
0 2 0
2 0 1
10 6
0 2 1
0 2 0
1 0 2
1 2 2
2 1 2
2 0 2
2 2 2
0 1 2
2 1 1
0 1 1
10 2
2 0 0
2 0 2
1 2 1
0 2 2
2 1 0
1 1 1
2 0 1
1 2 2
1 0 0
0 1 2
10 8
3 2 1
0 0 3
1 2 1
3 0 1
0 2 3
3 1 0
1 3 0
0 2 0
2 3 3
0 3 2
10 5
2 1 0
1 1 1
1 2 1
0 0 1
1 2 0
0 1 2
2 1 1
2 1 2
2 0 1
0 0 0
10 7
3 3 1
3 2 3
0 2 0
0 3 2
1 3 1
3 3 0
2 3 3
1 3 3
1 1 1
1 0 3
10 4
1 0 0
2 0 1
1 2 1
0 2 2
2 2 2
1 0 1
3 0 2
1 2 2
1 2 0
3 2 0
10 8
2 2 1
2 1 1
1 1 0
0 0 0
0 2 2
0 1 1
0 1 0
1 0 1
0 2 1
0 0 1
10 9
2 1 0
3 0 1
3 0 0
0 0 3
2 2 2
2 0 1
1 2 2
0 3 2
3 1 2
0 2 2
10 8
1 2 2
0 3 2
3 0 0
3 1 0
2 1 3
0 1 3
2 3 0
2 2 2
0 3 0
1 3 1
10 8
0 0 3
0 0 1
2 0 3
3 3 0
3 0 3
2 2 2
3 1 2
2 1 0
2 3 1
0 3 3
10 2
0 0 3
0 1 3
3 1 3
2 1 2
1 0 3
1 3 3
3 3 1
3 1 2
2 1 0
1 0 1
10 8
2 0 0
1 0 2
1 1 0
0 2 2
1 1 2
0 1 2
1 2 2
1 0 0
2 1 0
2 2 1
10 8
2 1 2
0 0 0
2 1 1
2 2 2
2 1 0
2 2 0
2 2 1
1 2 0
2 0 1
1 0 1
10 2
1 3 3
1 1 2
2 3 2
0 1 1
1 2 3
0 3 2
1 2 1
2 0 0
1 0 1
3 2 2
10 7
0 1 2
0 0 2
1 0 1
0 2 2
1 0 2
1 1 1
0 1 1
2 2 1
0 2 0
0 2 1
10 4
1 2 1
1 2 0
2 0 0
2 2 1
0 1 0
0 0 2
2 2 2
1 0 0
1 1 2
2 1 0
10 6
2 2 2
0 0 1
1 1 0
0 3 3
2 0 0
3 3 1
0 1 2
3 3 2
0 2 1
1 3 0
10 4
2 0 1
0 1 1
1 2 2
0 0 1
0 0 2
0 0 0
2 0 0
2 1 1
0 2 0
1 0 0
10 2
0 1 1
1 0 0
1 2 1
2 1 2
2 2 2
2 2 0
1 0 2
1 1 0
2 2 1
1 1 2
10 7
1 2 1
0 1 2
1 0 1
0 2 2
1 2 0
0 2 0
2 0 2
1 1 2
0 0 2
1 1 1
10 3
3 1 3
0 3 0
1 0 0
2 2 0
3 1 2
2 2 2
3 2 3
1 1 1
1 0 2
2 1 0
10 5
2 2 1
0 2 1
2 2 0
1 1 0
2 1 2
2 0 1
1 2 1
1 1 2
0 0 1
0 0 0
10 6
2 0 2
2 0 0
1 0 2
0 1 2
2 1 1
0 1 1
2 1 0
1 0 1
0 2 1
0 2 2
10 7
1 2 2
2 2 1
0 1 2
1 2 0
1 1 0
2 2 0
0 0 0
0 1 1
2 0 2
1 0 1
10 9
0 3 0
1 0 2
2 0 0
2 0 3
0 0 1
2 2 3
2 2 2
2 0 2
1 0 1
0 3 1
10 9
0 0 1
1 1 0
2 1 0
2 0 2
0 2 2
0 1 1
1 0 1
0 1 0
1 1 2
2 0 1
10 5
1 2 2
3 0 1
3 3 2
1 3 2
1 2 0
2 1 2
2 2 1
1 0 2
1 3 0
2 0 1
10 5
1 0 1
0 0 1
2 0 2
1 3 3
2 3 2
2 3 0
3 2 2
0 2 3
2 1 2
0 1 1
10 6
1 2 1
2 0 1
0 0 0
2 0 0
2 1 0
2 1 2
0 1 2
1 0 1
0 2 2
1 0 0
10 8
3 1 2
0 1 1
2 3 2
2 2 3
3 2 0
1 1 3
3 3 1
3 3 3
2 1 1
3 1 0
10 8
2 1 2
2 1 1
0 1 3
1 2 0
1 0 2
2 1 0
3 0 2
2 2 0
1 0 1
0 3 1
10 6
2 2 2
1 1 1
0 1 1
0 2 1
2 1 2
0 0 0
1 2 1
2 2 1
1 1 0
1 1 2
10 7
0 1 1
1 2 1
1 3 0
3 3 0
1 2 2
3 2 1
1 1 2
1 1 1
2 0 3
1 1 3
10 5
0 2 3
0 3 3
3 3 3
1 1 3
3 1 0
2 0 1
3 1 2
1 3 0
2 1 0
3 2 0
10 8
3 0 0
0 1 0
3 1 0
0 0 2
0 3 1
3 3 2
2 2 1
3 0 2
2 2 3
0 0 0
10 3
3 2 0
0 0 3
2 2 0
1 1 3
1 2 1
1 0 0
1 2 2
2 3 0
0 2 3
0 2 2
10 6
1 1 2
0 3 2
0 3 3
2 2 1
2 0 3
1 2 3
0 2 0
1 0 2
3 1 0
0 2 1
10 9
2 2 0
2 0 1
0 0 2
2 1 0
2 1 1
1 0 2
0 0 0
1 1 0
0 2 1
0 1 1
10 4
0 1 1
2 0 0
0 0 2
0 2 2
1 0 1
2 1 0
1 0 2
1 2 2
2 1 1
0 2 0
10 8
0 0 1
1 3 2
1 1 3
2 3 2
1 0 1
2 2 2
0 1 0
0 3 3
0 3 0
2 0 1
10 3
2 2 0
2 1 1
1 1 1
2 0 2
1 0 1
1 2 2
2 1 2
2 1 0
0 2 2
2 0 0
10 9
0 0 2
0 2 0
1 0 1
0 2 1
1 2 0
2 0 2
0 1 2
2 2 0
0 1 0
1 0 2
10 9
1 3 3
3 3 0
3 0 0
1 0 3
3 0 1
0 2 0
3 1 2
2 3 3
2 1 0
0 2 1
10 7
1 3 1
1 0 3
2 0 3
3 1 1
0 0 0
0 3 0
3 2 1
2 3 1
2 2 1
0 2 3
10 9
1 1 0
1 0 2
2 0 0
1 1 1
2 2 1
2 0 1
1 1 2
2 1 0
2 2 2
0 0 2
10 7
1 2 0
1 2 1
0 2 0
0 0 2
2 1 1
0 1 1
1 0 2
2 2 0
0 0 0
0 0 1
10 5
1 1 1
2 1 2
1 2 1
2 1 3
0 1 0
3 3 3
0 3 0
2 3 3
1 1 3
1 2 3
10 2
1 2 2
0 0 2
1 1 0
1 1 2
2 1 1
2 3 3
2 1 2
3 3 0
1 2 3
2 3 1
10 9
1 1 3
0 2 0
1 0 0
2 3 3
3 3 2
0 3 3
3 1 2
1 3 2
3 0 2
0 3 2
10 4
3 2 3
2 1 2
1 2 1
3 1 2
1 1 0
0 2 1
0 0 2
0 2 2
3 0 2
2 1 1
10 6
0 0 0
0 1 0
0 1 1
1 3 3
1 2 1
2 1 2
1 0 1
2 0 1
0 2 1
2 3 2
10 4
3 2 1
3 2 2
0 0 3
0 1 3
2 2 0
2 0 2
0 0 1
1 0 3
0 2 3
0 3 0
10 6
0 2 2
0 2 0
2 0 2
2 2 2
0 0 2
2 1 0
0 1 0
1 1 2
1 1 1
0 2 1
10 3
1 2 2
2 1 1
1 0 1
2 2 1
0 2 0
1 1 2
2 0 0
0 0 2
0 2 2
2 0 2
10 7
0 3 3
3 1 2
3 3 2
2 2 1
2 1 1
0 0 1
3 3 1
1 1 2
0 3 2
1 0 3
10 3
0 2 2
0 0 0
1 0 2
1 0 1
1 2 2
0 2 1
1 2 1
2 0 1
0 2 0
2 1 1
10 6
0 0 2
1 2 2
0 1 0
1 0 2
0 0 0
0 2 1
2 1 0
0 2 0
2 2 2
0 0 1
10 6
2 2 0
2 1 1
0 2 0
1 0 0
0 0 0
1 0 1
0 2 2
1 2 2
0 1 2
0 1 1
10 9
2 1 0
0 0 0
1 2 0
0 1 1
1 0 0
0 1 2
1 2 1
2 0 2
2 0 1
1 1 0
10 4
2 0 3
2 3 3
2 2 1
0 0 1
1 2 2
0 1 0
2 3 0
2 3 2
1 0 0
2 1 2
10 9
1 2 0
1 0 3
2 3 2
2 0 1
1 1 3
0 3 1
3 3 1
2 3 0
0 2 3
3 3 3
10 3
3 0 0
0 2 1
0 2 3
3 2 1
1 0 2
3 3 1
1 1 2
3 2 0
2 2 0
3 2 3
10 2
1 2 1
2 2 2
2 0 0
0 2 1
1 0 1
0 1 0
0 0 2
2 1 0
2 0 2
1 2 2
10 4
1 0 0
1 1 0
1 1 1
2 2 1
2 2 2
0 0 0
0 2 0
1 1 2
2 0 0
0 1 1
10 4
1 0 1
0 0 0
2 1 0
1 2 1
2 1 1
2 2 2
1 0 2
1 2 0
0 0 2
0 1 0
10 4
3 2 3
2 3 1
1 1 3
1 1 1
0 2 1
2 0 3
1 0 1
3 3 1
0 2 0
3 1 0
10 5
0 1 0
1 1 1
2 2 1
0 2 0
1 1 0
1 0 1
0 0 2
0 1 2
2 2 0
2 2 2
10 7
1 2 2
1 2 3
0 2 3
2 1 0
0 3 1
1 3 0
1 1 2
2 2 1
2 0 1
1 3 3
10 8
0 0 1
1 2 1
2 2 1
0 0 2
0 1 2
0 2 0
0 0 0
2 1 0
1 1 0
2 0 1
10 2
0 2 1
1 1 2
2 0 0
1 2 1
2 2 2
1 2 0
1 0 0
2 1 1
1 0 2
0 2 0
10 4
1 2 2
1 0 2
0 3 0
2 3 0
3 3 2
0 1 1
2 3 1
0 0 0
0 0 3
1 3 3
10 7
0 1 1
1 1 1
1 2 2
2 1 1
2 0 1
0 2 0
0 0 1
0 1 2
1 0 1
2 0 2
10 6
1 0 0
1 1 1
2 2 2
0 0 1
1 2 1
2 0 0
1 1 2
1 0 1
1 0 2
0 1 2
10 2
0 0 0
2 0 0
1 2 2
2 2 2
0 1 2
0 0 2
0 1 1
0 1 0
1 2 0
2 0 2
10 6
0 1 1
2 1 2
1 2 0
1 0 1
2 0 0
2 2 1
1 1 1
2 2 2
1 1 0
0 2 1
10 7
3 2 2
3 3 1
0 2 3
2 2 3
1 1 2
2 1 0
2 2 2
1 0 3
3 1 0
1 1 1
10 2
1 3 1
1 0 0
0 1 0
0 3 3
2 0 2
3 0 3
3 2 0
2 1 0
1 2 2
1 2 0
10 9
0 1 0
3 0 2
3 2 2
1 2 1
1 0 2
2 2 2
0 2 0
3 0 3
1 3 3
3 3 1
10 5
0 2 1
1 1 0
0 2 2
0 0 2
2 0 2
1 2 1
1 0 0
1 0 2
1 1 1
0 0 1
10 4
2 1 0
2 0 0
1 1 2
2 2 0
2 1 2
0 2 1
0 1 2
0 2 2
2 2 1
1 1 0
10 9
1 1 2
1 1 0
0 0 2
2 0 2
0 2 1
2 2 2
2 1 1
0 0 1
0 2 2
2 1 0
10 4
2 0 2
2 0 0
2 2 0
1 0 1
1 2 0
0 1 0
0 2 2
1 1 2
2 1 1
0 1 1
10 7
3 1 1
3 0 0
0 1 1
3 0 1
0 3 1
0 1 2
0 0 0
0 3 0
1 0 3
2 0 2
10 6
0 2 0
1 0 2
0 0 0
1 2 1
0 3 1
2 3 1
0 1 2
2 2 3
3 1 0
2 2 2
10 7
0 3 0
1 3 0
0 3 3
0 3 2
0 2 1
3 1 3
1 2 1
3 0 1
1 1 0
3 1 2
10 2
2 0 2
0 1 0
2 0 1
0 0 0
1 1 0
1 0 1
0 2 1
1 2 2
0 1 2
2 2 1
10 9
1 1 1
0 0 0
2 2 2
1 2 0
0 0 1
0 1 0
2 1 0
1 0 2
2 0 0
2 0 2
10 5
0 2 0
2 2 1
1 0 2
2 1 2
2 2 0
2 1 0
2 0 1
2 0 2
0 2 2
1 0 0
10 4
3 0 3
0 2 3
1 3 1
2 2 3
3 3 1
3 3 2
2 0 1
2 1 2
2 2 2
0 1 2
10 7
2 0 0
2 1 1
0 3 0
0 0 1
0 1 2
2 0 2
1 2 0
3 1 1
0 0 3
0 2 2
10 2
2 2 1
1 1 0
2 1 1
2 0 1
1 1 1
0 2 1
1 0 1
0 1 0
1 1 2
2 0 0
10 5
1 3 1
2 3 1
1 3 2
0 2 3
2 0 0
0 3 3
3 2 2
2 2 1
3 0 0
1 0 2
10 8
2 2 0
0 1 0
0 1 2
1 0 1
0 2 2
2 0 1
1 2 0
1 1 2
2 1 2
1 0 2
10 7
0 0 1
3 2 0
1 1 1
2 1 0
1 3 2
1 0 3
1 0 0
1 0 1
3 0 1
1 1 3
10 7
1 0 0
1 1 2
1 0 2
1 2 0
2 0 2
1 2 2
1 1 0
0 2 2
0 0 2
0 0 0
10 8
1 1 0
0 2 3
1 2 3
3 0 0
3 0 1
1 1 3
0 2 0
2 3 3
2 1 1
0 0 0
10 4
0 1 2
0 3 0
1 1 1
1 3 2
1 3 0
2 0 0
2 2 2
0 1 1
2 1 2
0 0 3
10 4
2 2 0
1 0 0
0 2 0
2 2 2
1 2 2
0 1 1
2 0 2
1 0 2
2 2 1
1 2 1
10 2
3 3 1
0 2 0
3 1 3
1 1 0
2 2 2
2 3 3
1 0 2
1 0 1
1 3 0
2 3 0
10 6
2 0 3
2 2 0
0 3 2
3 0 1
2 3 1
3 2 1
2 3 3
3 1 3
1 1 3
3 2 3
10 9
2 0 1
2 0 3
1 0 3
0 1 0
0 3 3
0 2 3
1 3 1
0 1 2
3 0 0
2 1 1
10 9
2 0 2
2 1 1
1 2 1
0 0 2
0 2 0
0 0 0
2 2 1
1 1 0
1 0 1
2 0 0
10 3
1 1 0
0 1 1
1 3 2
2 0 0
2 1 3
0 3 3
0 3 0
2 0 3
0 0 2
0 1 2
10 9
3 0 0
1 1 1
0 2 1
3 1 1
2 1 1
2 3 0
1 3 0
0 3 0
0 0 0
2 0 3
10 8
2 2 2
3 0 1
3 0 2
0 2 0
2 2 1
3 3 3
1 2 1
2 0 0
3 1 1
0 3 1
10 5
3 1 3
2 2 1
1 2 1
3 0 0
0 0 0
2 0 2
3 2 0
2 3 1
1 2 3
2 3 2
10 7
1 0 0
1 0 2
3 2 3
0 1 3
0 0 3
2 0 1
1 2 1
3 1 0
0 3 3
1 1 2
10 9
1 2 0
2 2 1
2 1 1
0 2 2
0 1 2
1 1 1
2 1 2
1 1 0
0 0 1
1 0 1
10 7
0 1 1
2 2 0
0 0 2
0 0 1
0 0 0
2 1 1
1 0 1
1 1 2
1 0 0
1 1 1
10 3
0 0 0
2 0 0
0 1 0
1 1 2
1 0 2
1 2 2
1 2 1
0 2 0
0 0 2
2 1 0
10 6
0 2 2
1 1 1
0 0 2
2 0 2
2 1 0
0 2 0
1 2 1
0 2 1
1 1 0
1 0 1
10 6
0 0 0
0 1 0
1 0 0
1 1 2
2 0 2
1 0 2
2 2 2
1 2 0
1 2 1
1 1 0
10 2
0 0 0
1 1 2
2 2 2
2 0 2
1 1 0
0 2 1
0 1 1
1 2 0
2 1 0
1 1 1
10 9
3 0 1
2 0 0
2 0 1
0 1 3
0 0 1
0 1 1
2 2 0
1 2 1
0 2 2
0 2 1
10 2
2 2 2
2 0 0
1 1 2
0 1 1
1 0 1
0 0 0
0 1 0
0 0 1
2 2 1
1 2 0
10 6
2 2 0
2 2 1
2 1 1
2 0 1
1 0 0
0 0 1
1 0 2
2 0 2
1 2 1
0 2 2
10 5
1 2 1
2 2 0
1 1 0
1 0 2
0 1 1
0 2 1
0 0 0
2 1 1
1 1 2
2 2 2
10 9
1 0 0
0 0 1
0 1 1
1 1 2
0 2 2
2 0 2
0 0 2
1 1 1
1 1 0
0 2 0
10 8
1 0 3
3 1 3
0 0 3
2 1 1
3 2 3
2 3 2
0 1 0
2 1 2
2 3 3
3 3 1
10 5
3 3 0
3 1 1
0 0 3
0 0 0
3 2 3
2 1 2
3 3 1
3 0 1
1 0 1
1 2 1
10 4
0 1 0
3 1 0
3 3 2
3 2 0
0 2 1
3 1 2
0 2 0
0 2 2
1 1 2
2 3 3
10 7
1 0 0
1 2 3
0 1 1
2 3 3
2 2 1
2 0 2
3 2 1
2 3 2
1 2 1
3 2 2
10 8
3 0 3
3 2 1
1 1 2
0 0 3
0 3 3
2 3 1
1 0 3
1 3 3
0 3 0
1 1 3
10 7
1 0 1
0 1 0
2 1 1
1 2 0
2 2 0
1 1 2
1 0 2
1 2 2
2 2 1
1 1 1
10 2
0 2 1
2 1 1
0 2 3
0 0 1
2 0 1
2 3 0
3 0 1
1 0 3
0 3 1
0 0 2
10 5
3 0 1
0 1 0
3 3 3
3 3 0
1 0 2
0 1 3
0 2 2
3 0 0
2 0 0
2 3 3
10 9
2 1 0
2 2 0
0 1 2
2 3 0
3 0 2
0 3 3
2 2 1
1 0 0
2 0 1
1 2 2
10 4
2 0 3
3 2 1
0 0 1
1 2 2
1 0 3
3 1 1
3 2 3
0 0 0
3 2 0
3 1 0
10 7
3 0 3
0 1 1
2 2 3
0 2 2
1 0 2
0 2 3
1 1 3
3 2 0
2 2 1
3 0 1
10 6
2 0 1
0 2 1
2 0 2
0 2 0
0 0 0
2 1 0
1 2 2
1 1 0
0 1 0
1 0 1
10 5
0 2 1
1 0 1
1 2 0
0 0 1
0 1 2
2 1 1
2 0 0
0 1 0
0 1 1
1 1 1
10 4
0 1 2
0 2 1
1 0 0
0 2 0
2 1 0
1 0 1
1 1 2
1 1 0
0 1 0
0 2 2
10 4
1 1 2
1 0 1
0 2 1
0 1 0
1 2 0
2 2 2
2 1 2
1 1 1
2 0 0
1 1 0
10 7
1 0 0
1 1 0
0 1 1
1 2 1
0 0 2
2 0 2
1 1 2
0 1 2
2 1 1
2 2 0
10 2
0 0 1
2 0 0
2 1 1
2 0 1
1 0 1
2 2 0
0 0 2
0 1 1
1 2 0
2 1 0
10 4
1 1 0
0 1 2
1 0 0
0 0 1
0 2 1
2 0 1
2 2 1
1 0 1
2 2 2
2 1 2
10 2
2 1 0
0 2 2
0 1 1
1 2 0
0 1 2
2 1 2
2 0 1
0 0 1
1 0 1
2 0 0
10 3
1 1 0
1 0 2
0 2 1
0 1 1
1 2 0
0 2 0
2 1 0
2 1 2
1 1 2
0 1 0
10 3
0 0 3
1 1 1
1 1 2
2 0 1
3 3 2
2 0 3
2 2 0
0 2 1
3 1 3
2 3 3
10 9
3 0 0
3 1 0
3 2 3
2 1 3
0 3 1
2 3 0
1 2 2
3 0 3
2 0 1
0 0 2
10 6
2 1 0
0 1 2
1 2 0
2 2 1
0 2 2
3 3 3
2 0 3
2 1 3
0 3 3
3 3 1
10 7
2 0 2
0 2 1
2 2 2
2 1 1
0 0 1
1 1 2
0 2 0
2 1 2
2 2 1
1 2 0
10 4
0 0 1
2 1 2
2 2 2
0 2 0
2 1 0
2 0 1
0 1 0
1 2 0
0 1 2
0 0 2
10 5
2 3 3
3 3 1
1 0 2
3 1 1
1 1 0
3 3 2
3 2 1
0 3 3
3 1 0
2 3 0
10 8
2 1 2
1 1 1
0 2 0
2 0 1
2 2 0
2 2 1
2 2 2
1 0 1
0 1 1
0 1 2
10 7
1 1 0
2 2 2
2 2 0
1 0 2
1 0 0
0 0 2
1 1 1
1 0 1
0 2 1
1 1 2
10 3
0 1 1
0 2 1
3 1 3
1 1 0
3 3 0
0 1 0
2 0 3
3 1 0
1 2 0
2 2 2
10 4
0 1 1
0 2 0
2 2 1
0 0 2
0 1 0
2 2 0
0 0 1
2 0 2
2 0 0
1 2 2
10 3
2 3 0
3 2 2
0 2 0
0 3 0
0 1 3
3 2 1
3 3 2
2 1 3
1 3 0
2 1 0
10 3
2 1 3
3 0 2
0 3 2
1 1 0
1 0 1
3 1 0
3 1 3
1 2 0
3 2 1
2 1 1
10 6
0 2 2
1 1 2
1 2 0
0 1 2
2 1 0
2 0 0
0 1 0
2 2 1
2 2 0
1 0 1
10 3
2 0 3
1 0 3
2 2 3
3 1 2
3 1 3
3 2 0
1 2 1
2 0 2
3 3 1
1 3 3
10 3
2 2 2
0 2 0
3 0 1
3 3 1
2 0 3
3 2 3
1 2 2
2 0 2
1 0 3
2 2 3
10 5
1 0 1
2 0 0
1 2 0
1 1 0
0 0 2
2 1 2
0 1 2
2 0 2
1 2 2
0 2 2
10 5
2 0 0
3 3 1
3 2 2
1 2 0
3 1 0
3 0 3
3 0 1
2 0 3
1 2 1
1 2 2
10 6
1 0 1
3 0 0
1 2 2
3 3 2
2 1 1
1 3 0
0 3 1
0 1 0
1 3 2
1 3 1
10 5
0 1 2
3 0 1
2 1 0
2 2 2
2 0 0
0 2 3
2 1 1
0 0 0
1 1 3
2 0 1
10 9
0 3 0
2 3 1
2 1 2
2 2 3
0 1 2
3 0 3
1 3 3
3 3 0
1 1 0
3 2 1
10 4
0 1 1
2 2 2
1 2 2
0 3 3
1 3 2
3 2 2
3 2 3
0 3 0
3 0 3
3 1 0
10 9
2 1 0
2 2 2
1 0 2
0 0 1
1 2 0
1 2 2
2 0 1
2 0 2
2 1 1
1 2 1
10 4
2 2 0
0 0 3
3 2 3
1 2 3
2 2 2
3 0 0
3 3 2
1 1 3
0 2 3
3 2 0
10 2
3 3 3
2 3 3
0 0 2
2 2 1
1 2 1
1 0 1
1 3 1
1 1 1
2 3 1
1 0 3
10 9
2 2 0
0 2 1
1 1 2
0 2 2
0 0 0
2 2 2
1 2 0
0 1 1
1 2 1
0 0 2
10 7
1 2 3
3 2 2
3 3 3
1 3 0
1 2 0
0 2 2
2 2 2
1 0 3
3 0 2
2 0 1
10 4
3 2 2
1 2 0
3 1 2
3 2 1
0 2 3
1 2 3
1 1 2
3 0 0
2 1 3
0 1 2
10 9
0 1 0
2 3 2
0 3 3
3 0 2
0 1 1
1 3 3
0 3 0
2 2 1
1 2 0
0 3 1
10 5
0 0 0
1 2 1
2 0 2
0 2 2
2 2 2
2 1 2
2 1 1
0 1 2
1 1 0
1 1 1
10 8
2 2 1
2 1 1
2 2 0
2 1 0
0 0 0
0 1 1
0 2 0
1 2 1
1 2 0
1 0 2
10 7
1 0 2
1 0 0
1 1 3
3 3 2
3 3 0
3 1 2
0 3 1
0 0 3
2 1 3
3 2 1
10 9
2 1 1
2 0 1
2 2 1
2 1 2
0 2 0
3 3 0
3 3 2
1 3 0
2 0 0
1 1 3
10 6
2 1 3
0 0 0
2 2 0
3 0 1
0 0 3
2 1 2
1 2 2
1 0 3
0 3 0
2 2 3
10 9
0 1 0
1 3 3
3 2 3
1 3 0
3 3 0
0 0 0
1 1 0
2 1 0
1 2 2
3 0 1
10 4
0 0 2
3 3 0
1 0 0
0 2 2
1 1 2
0 0 3
2 1 3
0 1 3
2 0 1
3 1 0
10 3
2 2 1
0 2 1
2 0 0
0 2 2
1 1 1
0 1 2
2 0 2
1 2 2
1 1 0
2 1 1
10 4
0 1 0
0 2 1
2 2 2
1 0 0
0 1 1
0 0 2
1 2 0
0 0 0
0 0 1
0 2 2
10 9
0 2 0
3 0 2
1 1 3
2 0 3
0 0 3
0 1 2
1 2 1
0 2 2
3 1 3
0 0 2
10 5
1 2 1
2 1 3
1 0 0
1 2 2
0 2 3
1 3 3
2 3 1
3 2 2
2 0 0
1 3 2
10 8
2 1 0
1 1 0
1 0 2
2 2 2
1 1 2
0 2 1
1 2 0
1 1 1
0 2 2
2 0 2
10 6
2 0 3
2 3 0
2 0 2
0 0 2
2 2 2
0 1 2
3 0 2
3 1 2
0 1 3
0 1 1
10 8
1 1 2
2 0 1
3 2 1
3 1 1
1 1 1
2 3 2
2 0 0
3 0 1
0 2 0
3 1 0
10 6
1 0 0
2 0 2
0 2 2
0 2 1
1 0 2
2 2 0
0 0 1
0 0 2
1 1 1
2 2 2
10 9
0 1 0
2 1 2
1 2 1
0 0 0
2 2 2
0 2 0
1 2 2
1 0 0
0 2 1
2 0 1
10 3
2 2 1
1 2 1
0 1 2
0 1 0
0 1 1
2 1 0
0 2 0
0 2 2
2 0 0
0 0 2
10 9
0 0 0
1 2 1
1 0 1
2 1 0
2 0 2
1 1 0
0 0 2
1 1 1
1 2 0
2 0 1
10 4
2 2 1
3 0 2
2 3 2
0 1 1
1 2 3
1 1 2
0 0 1
2 3 1
3 1 3
2 1 3
10 2
0 0 2
2 0 3
3 3 3
0 3 3
1 2 0
3 3 1
2 2 3
3 0 1
2 3 0
3 0 3
10 8
0 3 2
3 2 1
2 3 2
3 1 2
3 2 0
1 0 2
1 2 2
3 0 0
1 3 1
3 1 3
10 6
0 0 1
1 1 2
1 2 2
2 2 1
1 1 1
1 0 0
0 0 2
2 2 0
0 2 1
1 1 0
10 5
1 1 0
2 2 1
0 0 0
0 2 0
0 2 2
0 1 2
0 1 1
1 1 2
1 2 1
2 2 0
10 4
0 1 2
2 2 2
1 1 1
2 2 1
0 2 0
1 1 2
0 2 1
2 1 2
0 0 0
1 0 2
10 8
0 2 0
0 1 1
0 3 2
2 0 1
3 2 1
0 1 2
3 1 0
1 1 3
2 2 3
1 3 2
10 3
1 0 0
1 1 2
1 2 1
1 0 1
2 0 0
2 0 1
0 0 1
2 1 2
2 2 1
0 2 1
10 2
0 2 1
0 1 1
1 2 2
2 1 1
1 1 1
2 2 1
1 0 0
2 0 2
0 0 1
0 0 0
10 8
1 2 0
0 0 3
1 0 0
0 1 0
2 0 1
3 2 0
1 3 3
1 3 0
0 3 3
3 1 1
10 6
3 2 0
2 0 1
2 3 0
1 3 1
3 1 0
2 3 3
1 3 0
2 2 0
1 3 2
1 3 3
10 3
2 2 2
0 1 2
0 0 0
0 0 2
2 0 0
2 1 1
1 0 0
1 1 0
0 1 0
2 0 2
10 3
2 2 3
2 0 3
1 3 2
2 1 3
0 0 2
0 2 1
2 2 1
0 1 0
0 2 2
3 3 2
10 9
2 0 1
0 1 0
2 1 2
1 1 0
1 1 1
1 0 1
1 2 1
2 0 2
1 0 2
0 0 0
10 6
0 2 2
0 0 0
2 0 2
1 0 1
2 0 0
2 2 0
1 2 1
2 1 1
1 0 0
2 2 1
10 2
3 3 2
2 3 2
2 2 2
0 2 3
1 3 0
2 1 2
3 3 1
3 0 0
1 3 1
3 0 3
10 4
2 2 1
1 2 1
2 0 0
2 1 0
0 0 1
0 1 1
2 2 2
1 2 0
1 0 2
2 1 2
10 9
0 0 0
1 2 2
0 1 2
1 1 2
1 0 2
0 0 1
1 1 1
0 2 2
2 0 0
1 1 0
10 7
1 0 2
2 2 2
2 1 2
0 1 0
1 1 0
2 2 0
1 1 2
1 1 1
0 0 1
2 2 1
10 6
2 0 0
2 0 1
1 0 2
1 1 0
0 1 0
1 2 2
1 1 1
0 0 2
0 0 0
2 2 0
10 8
2 2 1
1 2 0
0 2 0
0 0 1
1 1 1
0 1 1
0 0 0
0 1 0
1 0 2
0 0 2
10 8
0 2 0
0 0 3
2 2 2
0 0 1
2 0 3
0 0 2
2 1 1
2 2 1
0 3 3
1 3 0
10 6
0 0 2
0 2 1
1 2 3
2 3 0
3 0 0
2 2 0
0 2 0
3 2 3
3 3 0
3 0 3
10 5
3 2 2
2 2 0
0 0 3
1 0 0
0 1 2
2 3 1
0 2 0
1 3 1
3 1 0
1 0 2
10 6
0 2 2
0 2 1
1 2 0
1 0 1
1 1 0
0 0 2
2 0 2
0 0 1
2 0 1
2 2 0
10 9
2 1 0
0 1 2
0 1 0
2 1 1
2 2 0
2 0 0
1 2 1
1 1 0
1 1 1
1 0 2
10 3
1 2 0
2 1 1
2 0 2
1 0 1
0 0 2
2 2 0
1 0 0
0 2 1
2 0 1
0 2 0
10 7
1 0 1
0 1 0
0 2 2
2 0 1
1 0 0
0 1 2
1 2 2
2 0 2
2 1 1
0 0 0
10 4
1 0 1
1 2 0
0 2 0
1 1 1
3 1 2
2 2 1
3 0 2
1 1 3
3 2 3
3 0 1
10 2
3 2 3
3 2 1
3 2 2
0 3 0
2 3 1
2 2 0
0 1 2
1 0 0
3 1 0
2 1 0
10 6
1 0 1
1 1 2
0 1 1
2 1 1
1 0 2
2 1 2
0 2 0
0 0 1
1 1 1
2 2 2
10 7
1 1 0
2 2 2
2 1 2
0 0 0
0 0 1
0 2 2
1 2 1
2 1 0
0 1 0
2 2 0
10 3
1 1 0
1 0 2
2 2 1
2 1 1
2 2 0
1 0 1
2 0 2
0 2 2
2 1 0
2 2 2
10 6
0 1 2
2 1 2
0 2 1
2 0 1
1 0 1
2 2 0
2 1 0
0 2 2
2 2 1
0 1 0
10 7
1 2 3
0 3 2
1 0 2
0 1 3
2 2 0
3 3 0
3 1 0
1 1 0
0 1 2
3 1 2
10 6
2 0 1
1 0 3
3 2 0
3 2 1
0 1 3
0 2 3
1 3 0
0 0 0
3 0 3
2 1 0
10 7
1 2 1
0 0 1
1 2 2
2 0 2
0 1 1
2 0 0
1 0 0
2 1 2
0 1 2
0 2 2
10 3
0 1 1
2 2 1
2 2 0
0 0 2
2 1 2
2 0 2
0 2 2
1 0 2
0 0 1
1 0 0
10 3
1 0 2
1 2 2
3 3 0
0 0 3
2 1 3
2 2 3
2 0 1
1 0 0
2 2 1
0 1 0
10 6
1 1 2
1 0 2
2 1 0
1 2 1
1 0 0
2 2 1
0 1 0
2 2 2
2 1 2
0 0 1
10 9
0 2 0
0 3 3
1 2 3
2 0 1
3 3 2
3 0 0
3 1 0
1 1 3
2 3 2
0 3 1
10 6
2 0 2
2 0 1
0 2 1
1 2 0
1 2 1
1 0 0
2 1 0
1 0 1
1 2 2
0 0 1
10 8
1 0 0
1 2 0
0 2 0
2 0 0
2 3 0
1 0 1
3 0 1
0 3 3
1 2 2
3 1 1
10 8
0 2 3
3 1 1
1 0 0
0 0 1
1 3 0
0 0 3
1 1 2
2 0 1
3 1 3
3 2 2
10 6
2 0 0
2 2 1
0 1 0
0 0 0
2 1 2
0 2 1
1 0 2
2 0 1
2 1 1
0 1 1
10 7
0 0 2
2 1 0
2 1 1
0 0 0
1 2 1
1 0 0
0 1 1
0 0 1
2 2 0
1 1 1
10 5
2 0 2
2 0 0
0 1 3
0 2 1
1 2 0
1 3 3
3 0 1
1 3 0
3 0 2
0 0 0
10 5
3 3 3
3 3 1
1 0 0
2 1 1
2 0 0
2 2 0
2 3 2
0 1 1
1 0 2
2 3 0
10 6
3 1 0
1 2 0
2 1 3
0 1 3
3 0 1
0 2 3
2 0 1
0 0 2
1 3 2
1 3 0
10 8
2 0 1
0 1 1
0 0 2
2 1 0
0 2 0
2 1 2
2 2 2
0 0 1
1 0 1
0 1 2
10 7
0 2 0
1 1 1
1 2 0
2 1 2
0 1 1
2 2 2
1 0 1
1 0 2
2 1 0
0 1 2
10 9
1 0 2
1 2 0
1 1 0
0 1 1
2 2 1
0 3 2
2 3 2
1 0 0
2 1 1
0 0 1
10 8
1 3 1
1 2 2
2 3 2
1 3 0
1 1 3
2 2 2
3 1 0
3 0 3
3 2 2
1 2 1
10 9
1 1 3
3 3 3
0 2 1
3 3 0
1 2 2
3 0 1
2 0 2
1 1 0
3 2 3
0 0 2
10 9
1 2 3
1 2 2
3 0 0
1 2 1
2 1 0
0 1 3
2 3 2
0 2 2
0 0 2
0 3 2
10 8
3 0 1
2 0 3
2 2 2
3 1 3
1 2 3
3 3 3
1 3 0
2 3 3
1 1 0
0 1 2
10 4
1 1 1
0 2 2
1 0 0
0 2 0
1 0 2
1 0 1
2 0 1
1 1 0
0 1 2
0 0 0
10 2
0 3 1
2 0 2
1 2 2
1 1 2
0 2 3
3 3 2
0 0 0
2 3 0
0 2 0
1 2 0
10 5
0 1 2
1 0 2
2 1 0
0 2 2
1 1 2
1 1 0
2 2 1
0 0 2
0 2 1
2 1 2
10 6
2 3 1
2 2 1
2 1 0
2 1 3
0 2 1
1 3 2
3 2 3
3 3 2
1 0 3
1 0 0
10 3
1 2 2
0 1 3
3 0 1
2 1 1
2 1 0
3 3 2
3 2 2
0 3 0
2 3 0
0 0 0
10 5
2 0 2
1 3 2
0 1 1
0 0 3
1 1 2
2 2 1
1 2 3
0 2 2
2 1 2
2 2 3
10 8
0 1 2
2 1 2
2 0 2
2 0 1
2 1 0
0 0 1
0 2 2
2 2 0
1 1 1
0 2 0
10 9
2 0 2
3 0 2
0 3 3
1 1 2
1 2 1
2 0 1
3 3 0
1 2 3
3 2 3
2 1 1
10 7
0 1 2
0 0 0
2 1 1
2 2 0
1 1 0
1 1 1
0 1 0
2 2 2
2 0 2
1 2 1
10 9
3 1 3
2 1 3
1 1 0
2 0 1
2 2 1
1 2 2
3 3 0
1 2 1
1 3 3
0 1 1
10 5
1 1 2
1 1 0
0 1 1
1 1 1
1 2 2
0 0 2
0 2 0
2 2 1
1 0 1
0 0 1
10 9
2 2 1
2 0 1
1 1 2
0 1 3
0 2 3
0 3 2
2 0 2
0 1 2
3 3 1
3 3 2
10 2
3 1 0
2 1 2
1 2 0
2 3 1
3 0 1
1 2 1
0 0 3
2 0 2
2 0 3
3 3 3
10 3
0 1 2
2 2 0
0 1 0
0 2 1
1 2 0
2 0 0
1 0 1
1 1 0
1 1 2
2 2 1
10 4
1 0 1
1 0 2
1 0 0
1 1 1
2 2 1
1 1 2
2 1 1
0 1 1
2 1 0
1 2 2
10 3
1 0 2
2 3 2
1 1 3
0 2 0
1 2 3
3 2 2
3 1 3
0 1 3
0 0 2
2 2 3
10 9
0 0 1
2 0 1
2 1 1
2 0 2
2 2 1
2 1 2
0 2 1
0 1 1
0 2 0
1 2 1
10 3
0 2 0
0 0 0
1 2 2
3 2 1
2 1 0
1 2 1
2 0 3
1 3 2
2 0 1
0 0 1
10 5
1 1 1
2 1 0
0 1 0
0 1 2
3 3 1
0 0 2
0 2 2
2 0 0
2 2 3
3 1 1
10 3
2 1 1
1 1 2
1 2 2
1 0 2
0 1 2
1 2 0
2 2 1
1 1 1
1 2 1
2 0 0
10 2
1 1 0
2 0 1
0 0 2
0 0 0
2 2 1
1 1 2
2 1 0
0 1 1
0 0 1
2 1 1
10 7
2 2 2
0 1 2
1 2 1
2 1 1
1 1 1
2 0 2
0 1 1
1 1 2
1 0 2
1 2 0
10 7
2 2 0
2 0 0
0 0 1
0 0 2
2 2 1
0 2 0
0 0 0
1 1 0
0 1 2
1 1 1
10 6
1 2 1
2 2 2
1 0 2
1 1 2
1 1 0
1 0 0
0 0 1
1 1 1
2 1 0
2 1 1
10 9
3 2 3
2 2 3
0 3 1
1 2 0
1 3 0
1 1 1
3 0 3
0 0 3
0 1 1
3 0 2
10 4
0 0 3
3 2 2
2 1 0
0 1 3
0 1 0
0 1 1
0 0 0
0 0 2
3 3 0
1 2 3
10 2
2 2 2
1 2 2
2 2 0
2 0 0
0 0 1
1 0 0
2 1 0
0 0 0
0 1 2
2 2 1
10 8
2 1 1
0 0 2
0 1 1
1 2 1
1 2 0
0 0 1
1 0 1
1 1 0
2 1 2
0 1 2
10 9
1 0 2
1 1 0
0 0 1
2 1 1
2 1 0
2 0 1
1 2 0
1 2 2
1 2 1
2 2 0
10 4
1 0 2
0 0 2
1 0 1
2 0 0
0 2 1
2 0 2
2 2 2
0 0 1
1 1 1
1 2 0
10 8
0 2 3
3 2 0
0 3 1
0 3 0
1 0 3
1 3 3
3 0 1
1 1 0
1 1 3
3 3 2
10 4
1 3 2
3 0 1
0 2 3
2 1 3
0 2 1
0 3 3
3 1 3
1 0 2
3 3 0
2 1 1
10 9
2 0 3
2 3 1
1 0 0
0 3 1
2 2 2
3 1 0
2 0 2
0 0 2
3 3 0
1 1 0
10 8
0 0 2
2 3 1
0 3 1
0 3 3
1 1 1
1 3 1
1 2 3
2 3 0
1 2 1
2 0 3
10 5
2 2 2
0 0 1
0 2 1
2 2 0
0 0 0
1 0 0
0 2 0
1 2 0
2 1 2
2 2 1
10 6
1 1 3
3 0 0
1 0 2
2 3 1
1 1 1
2 3 3
2 0 1
3 0 1
0 3 2
3 3 0
10 9
0 0 1
3 2 2
1 3 2
0 3 1
3 1 1
1 0 1
0 2 3
2 2 1
3 1 0
3 3 0
10 9
1 1 2
2 0 1
2 2 2
3 3 1
3 2 3
3 0 2
2 0 0
1 3 0
0 0 1
0 1 1
10 6
0 0 1
2 3 0
1 3 2
2 1 3
1 2 2
0 1 0
2 3 3
1 0 0
3 3 2
2 2 1
10 8
3 3 1
2 0 1
0 0 0
0 1 0
0 1 2
2 1 2
3 0 0
0 3 2
1 3 2
3 2 2
10 5
2 0 1
1 2 0
2 0 2
0 2 2
0 2 1
1 0 2
1 1 1
1 2 2
2 2 2
0 1 2
10 5
3 1 1
0 1 1
3 3 2
1 3 0
1 3 2
0 0 3
3 2 3
2 2 1
1 3 1
3 1 2
10 6
0 1 1
3 2 2
0 0 1
2 2 1
0 0 3
2 0 3
3 3 2
0 2 2
2 0 2
1 0 0
10 5
2 2 1
0 0 1
2 0 0
1 2 1
2 2 2
1 0 2
0 2 2
0 1 1
1 1 0
1 1 1
10 3
2 0 3
3 1 3
3 3 0
2 3 2
3 2 2
0 1 3
3 2 3
2 1 3
0 2 3
2 2 0
10 2
3 0 3
3 1 3
1 1 1
2 0 2
1 3 2
1 3 1
3 1 0
1 0 2
0 1 3
2 3 3
10 3
1 1 2
1 2 0
1 0 1
0 2 0
1 2 2
2 0 1
1 0 0
0 1 2
0 0 1
2 0 2
10 4
2 2 1
0 0 0
2 1 1
2 2 0
0 1 2
0 1 1
0 2 2
1 0 2
1 2 2
0 0 1
10 4
0 1 0
2 0 1
0 2 1
1 0 2
2 1 1
1 2 2
1 2 1
0 1 2
1 1 2
0 0 0
10 3
0 1 0
2 2 1
0 0 2
3 2 0
2 0 2
3 1 2
1 1 1
1 1 0
1 1 2
3 0 2
10 5
2 0 0
3 0 3
1 3 1
0 2 0
3 2 3
0 0 1
2 0 1
1 2 2
3 2 0
0 2 2
10 9
2 0 0
0 2 0
2 1 0
1 2 1
2 1 2
0 2 2
0 1 0
1 1 0
2 2 0
0 0 2
10 4
3 1 0
2 2 3
1 3 3
1 3 0
3 3 0
1 1 2
0 1 0
0 1 2
0 1 3
2 0 3
10 7
1 2 1
2 1 2
0 0 1
1 1 0
0 2 2
0 0 2
1 0 0
1 2 0
2 1 1
1 0 1
10 4
2 1 3
2 3 2
0 0 3
2 0 0
3 1 2
0 0 0
1 2 2
2 1 1
3 3 0
1 3 2
10 8
3 1 0
1 3 3
1 2 2
0 1 2
1 3 1
2 3 0
0 3 1
0 3 3
2 0 0
3 1 2
10 4
0 2 2
2 2 1
0 2 1
0 1 1
0 0 2
2 1 0
2 2 2
2 0 2
1 2 1
1 2 2
10 5
0 3 1
3 3 3
3 0 3
3 3 0
2 2 3
2 0 1
1 3 3
2 2 1
0 0 3
1 1 0
10 9
0 2 3
2 1 2
3 1 3
3 0 2
3 0 0
3 2 3
1 2 0
0 2 0
2 2 0
2 3 1
10 2
1 0 2
1 2 1
1 0 0
0 0 1
2 0 2
1 2 2
2 2 0
2 0 1
0 1 2
0 0 0
10 5
1 0 0
1 2 3
1 2 1
2 2 0
3 3 0
1 0 1
1 0 2
2 3 0
1 3 3
2 1 2
10 4
0 0 1
0 1 1
3 0 3
0 1 3
3 2 3
3 2 0
2 0 3
2 1 3
2 0 2
3 0 1
10 2
0 1 1
1 2 1
1 2 0
1 0 1
0 2 0
0 0 0
1 1 2
2 0 2
1 2 2
0 2 2
10 5
1 2 1
1 1 2
1 2 2
2 2 1
1 2 0
2 1 2
0 2 1
0 0 1
2 1 1
2 1 0
10 4
2 1 0
2 0 0
0 2 1
2 1 2
0 2 0
1 1 0
1 1 2
0 0 2
1 2 2
0 1 1
10 6
3 3 1
3 2 1
2 1 3
2 2 3
0 3 1
3 2 2
3 2 0
1 1 0
2 1 2
3 0 3
10 2
0 1 0
1 1 0
1 2 1
2 1 1
1 1 1
2 2 0
0 1 1
0 2 0
0 0 2
0 0 0
10 8
1 3 0
1 2 3
2 2 1
0 2 2
2 1 2
0 1 3
0 0 0
2 1 3
3 1 3
3 1 0
10 8
0 0 0
1 0 0
2 1 2
0 0 1
2 1 0
2 2 1
0 0 2
1 0 1
1 2 0
1 2 2
10 8
2 1 0
1 1 1
0 2 2
1 2 2
0 0 2
2 2 2
0 0 0
0 0 1
0 1 0
1 2 0
10 4
2 0 2
1 2 0
3 3 3
1 3 3
3 1 0
0 2 0
1 0 3
3 0 2
3 0 1
3 3 2
10 2
3 3 1
3 0 3
1 0 0
0 3 2
3 2 1
0 0 0
1 1 1
1 2 0
1 0 1
1 2 2
10 8
2 1 3
0 2 0
1 3 0
0 1 1
0 0 3
1 1 3
3 1 1
1 3 3
1 1 0
3 3 1
10 2
1 1 0
1 2 0
0 0 0
0 2 0
2 2 2
0 2 1
2 1 1
0 0 1
2 1 2
0 1 2
10 2
2 1 2
0 0 1
0 0 0
1 0 1
1 1 2
1 1 1
2 0 1
1 1 0
0 2 1
2 0 0
10 8
2 2 2
0 1 2
0 1 0
2 1 2
1 2 2
2 0 1
1 0 0
0 2 2
2 2 0
1 0 1
10 9
1 2 1
0 2 2
2 2 1
1 2 0
0 1 0
2 0 2
0 2 0
2 2 0
0 2 1
2 1 1
10 2
1 2 1
1 2 2
0 2 0
2 1 2
1 1 1
1 1 0
0 0 0
1 2 0
0 2 2
0 1 2
10 8
1 0 0
1 1 0
1 2 0
2 0 0
2 0 1
0 2 2
2 1 2
0 0 0
2 1 0
1 0 1
10 9
1 2 0
0 2 1
2 0 3
0 2 0
2 0 2
0 1 0
2 3 1
1 1 3
1 1 2
0 0 0
10 2
0 1 2
2 0 2
0 2 0
1 1 1
2 1 0
0 2 2
1 0 2
0 0 0
2 2 2
1 1 2
10 2
0 2 1
0 2 0
0 0 0
1 0 2
2 0 2
2 1 2
2 2 1
1 2 2
2 0 0
2 0 1
10 2
1 2 0
1 2 1
2 2 1
0 0 1
0 0 0
1 0 0
1 1 2
2 0 2
1 2 2
1 0 1
10 8
3 0 0
0 2 1
1 1 0
2 2 3
3 1 3
1 3 0
0 2 3
3 1 2
0 3 3
2 3 2
10 8
2 1 0
0 2 3
0 1 2
2 1 2
0 3 2
1 2 0
3 1 2
1 2 1
2 0 2
2 3 1
10 9
0 1 1
2 0 0
0 2 1
2 2 0
0 0 2
2 1 1
0 0 1
1 1 0
1 2 1
1 1 2
10 2
2 0 3
2 1 3
1 2 0
1 2 1
0 0 2
2 3 0
3 1 3
2 3 1
0 2 1
3 1 2
10 2
0 3 0
1 0 1
0 3 2
2 1 3
3 0 0
1 2 1
2 0 0
2 0 3
3 3 2
3 1 2
10 6
1 1 2
0 1 2
1 2 0
2 0 0
2 1 0
0 1 0
0 2 0
2 2 0
2 1 2
0 0 1
10 2
1 1 2
1 2 0
2 0 1
0 0 0
0 1 2
2 1 2
2 1 0
1 0 1
1 2 2
1 1 1
10 7
0 1 0
2 0 1
1 2 2
0 1 2
1 1 2
2 2 1
1 2 0
2 1 0
1 0 1
1 0 2
10 3
0 1 0
0 0 0
1 0 2
2 1 1
2 1 2
1 2 1
2 0 2
2 0 0
2 2 0
1 1 0
10 2
2 1 0
0 1 0
0 0 0
1 0 0
1 0 2
1 2 0
0 2 2
1 0 1
1 2 2
1 2 1
10 9
0 1 0
0 2 1
1 0 2
1 0 1
2 0 2
2 1 2
2 0 0
2 2 0
1 1 2
2 0 1
10 5
1 0 1
2 1 1
1 2 0
1 0 2
0 0 0
2 1 0
2 0 2
0 1 0
1 0 0
2 2 2
10 3
0 2 0
0 0 1
1 1 2
1 2 1
2 0 1
2 1 1
0 1 2
0 2 1
0 0 2
1 2 2
10 9
2 0 1
2 1 2
2 1 0
1 0 0
0 1 2
1 0 1
1 2 2
0 2 2
2 2 0
2 0 0
10 4
1 1 0
2 2 0
1 2 1
2 2 2
1 1 1
2 1 2
1 0 1
0 2 2
2 0 2
1 0 2
10 8
2 1 0
0 1 1
0 2 0
1 1 2
0 1 2
2 2 0
1 1 0
0 1 0
1 2 1
1 0 0
10 3
3 2 3
0 3 1
3 1 1
0 1 1
0 0 3
3 3 0
1 3 0
0 0 0
2 2 3
0 1 2
10 8
1 3 2
3 2 1
1 1 3
0 1 1
2 2 3
2 1 2
1 2 0
2 2 0
2 2 1
0 3 3
10 7
2 0 0
1 0 0
1 1 1
1 0 3
0 3 0
0 0 2
0 2 2
3 2 3
1 2 2
1 0 2
10 8
0 0 2
1 1 2
1 0 0
2 0 0
1 0 2
1 2 2
0 2 0
2 1 1
0 2 1
1 0 1
10 9
2 2 1
2 3 1
3 2 3
3 3 3
3 1 2
3 2 1
1 0 2
3 2 0
0 2 0
2 1 2
10 4
1 2 2
0 0 2
0 1 2
2 2 1
0 2 2
1 0 1
1 1 1
2 0 1
2 2 0
1 2 0
10 9
1 1 1
0 2 0
2 1 1
2 2 0
1 2 0
2 0 1
1 0 2
0 0 0
2 1 0
0 1 2
10 6
0 1 2
1 2 0
0 1 1
1 2 1
2 0 0
1 1 1
1 0 2
0 0 2
1 1 0
0 2 2
10 5
1 0 2
0 1 3
3 1 1
0 2 3
0 2 2
2 1 0
2 0 0
1 2 1
3 2 0
3 3 1
10 5
2 3 2
1 3 3
3 1 3
2 3 3
2 1 2
1 1 3
3 3 1
0 1 2
0 0 2
1 2 1
10 2
3 1 1
2 0 3
3 0 1
2 2 3
1 1 2
1 2 3
1 2 0
3 0 3
3 2 1
1 3 3
10 6
1 0 1
0 2 2
2 0 2
1 2 2
2 2 0
0 2 1
1 0 0
1 1 0
0 0 0
1 1 2
10 2
0 2 0
1 0 3
3 3 0
3 2 2
2 1 0
3 2 3
3 0 3
1 1 0
2 3 3
2 3 2
10 5
3 3 2
0 3 1
3 1 2
1 0 3
0 1 1
2 1 3
1 1 3
0 0 2
0 1 0
0 1 3
10 6
1 1 2
2 3 1
0 1 1
1 3 2
1 1 1
3 0 1
3 0 0
2 3 3
0 3 3
2 0 0
10 8
3 0 3
1 3 3
0 2 2
1 1 3
0 3 0
0 1 1
2 0 1
1 0 2
2 2 2
0 3 2
10 8
2 1 3
0 2 0
2 1 1
1 0 3
3 2 3
3 0 2
0 2 3
3 3 2
1 3 2
3 3 3
10 8
3 2 3
0 0 3
3 2 1
0 3 1
0 1 1
3 0 1
1 0 3
0 2 0
1 0 0
2 3 0
10 5
2 0 0
0 3 0
0 2 0
3 1 2
3 0 3
3 2 3
2 3 3
2 2 2
1 3 1
3 1 3
10 2
0 1 1
0 1 2
2 0 0
1 1 0
1 0 2
2 2 1
0 0 0
2 2 0
0 0 2
1 2 0
10 9
0 0 0
2 1 1
0 0 2
2 2 2
0 2 2
1 1 0
1 1 2
1 0 2
1 1 1
1 2 0
10 2
1 1 3
0 2 0
3 1 1
3 1 2
1 3 2
0 1 1
1 0 3
2 2 0
2 3 1
2 2 3
10 7
1 3 1
2 1 3
0 2 2
3 0 3
0 0 2
2 1 1
1 2 0
2 0 1
3 3 1
2 0 0
10 7
2 0 0
2 2 1
0 1 0
1 3 1
2 0 3
3 3 1
2 3 3
1 2 0
2 1 1
1 1 3
10 7
2 0 0
2 0 2
1 0 1
0 1 1
1 2 2
2 0 1
1 2 0
0 2 0
1 0 0
2 1 1
10 6
2 2 2
0 0 2
1 1 2
1 1 0
0 1 2
2 2 1
0 2 0
1 2 1
0 1 0
1 2 2
10 2
0 2 0
0 0 1
1 1 2
1 0 0
1 2 2
0 2 2
0 0 2
1 1 1
0 1 2
2 2 1
10 2
1 2 3
1 1 1
1 1 3
0 0 2
2 0 1
2 2 3
2 3 0
3 1 2
2 2 1
0 0 0
10 2
3 3 1
1 3 3
3 0 0
3 1 3
0 0 2
0 2 1
2 3 2
2 1 2
2 1 1
0 3 0
10 8
1 1 2
2 1 1
3 3 0
0 2 2
2 2 1
3 1 2
2 1 2
0 2 3
3 0 0
0 3 3
10 4
2 2 1
1 2 0
1 2 1
2 0 2
0 2 2
1 1 1
2 0 1
1 0 2
1 1 2
2 1 0
10 5
0 2 1
1 1 2
2 0 1
0 1 2
1 2 2
0 2 0
2 1 0
2 2 2
2 0 2
0 0 1
10 4
0 2 2
3 0 1
2 3 0
1 1 0
3 3 1
1 1 2
3 1 2
1 0 3
3 3 0
2 2 3
10 5
1 2 3
0 0 0
0 3 2
2 3 1
3 0 2
0 0 1
2 3 0
3 1 1
0 3 0
0 2 3
10 5
2 2 0
2 2 1
0 0 2
0 0 0
1 0 0
1 2 2
1 1 0
1 2 0
1 0 1
2 1 1
10 6
2 0 0
1 1 0
0 0 1
0 2 0
2 0 2
0 0 0
2 0 1
2 2 0
1 0 1
0 1 0
10 5
2 0 0
2 2 1
0 0 2
0 0 1
2 1 0
1 1 1
1 1 2
2 0 2
1 0 1
0 2 0
10 3
0 2 3
1 1 0
0 0 2
3 0 0
2 3 1
3 0 3
0 1 1
3 2 2
1 3 3
0 2 0
10 3
2 0 1
0 1 0
1 1 1
1 1 0
0 1 1
2 2 1
0 2 0
2 0 0
0 0 0
2 1 0
10 5
0 0 2
1 3 0
2 1 2
2 2 1
1 1 2
2 0 2
3 1 2
1 2 0
0 3 2
1 3 2
10 8
0 2 1
2 3 3
3 2 0
2 3 2
1 1 3
2 2 2
3 0 3
3 3 0
0 2 2
0 1 0
10 7
3 0 2
1 2 2
0 0 2
3 3 2
0 2 1
1 3 3
0 3 0
1 2 3
1 1 0
2 3 1
10 5
2 3 2
2 2 1
0 3 3
3 2 1
2 1 0
2 0 2
0 2 3
0 3 0
1 3 3
3 1 3
10 2
0 0 2
2 1 0
2 0 0
1 0 1
0 2 0
1 1 2
2 1 2
1 1 1
1 2 2
0 0 0
10 7
2 0 2
1 0 0
2 0 1
1 1 1
0 2 0
0 1 1
1 0 1
1 2 0
2 2 2
2 0 0
10 8
1 2 1
3 2 0
2 1 3
3 0 2
1 2 3
0 2 3
2 2 1
3 0 1
2 2 3
0 3 3
10 8
2 1 2
2 0 0
2 2 1
2 1 1
0 1 1
1 0 1
0 2 1
0 0 2
1 0 2
1 1 1
10 4
3 1 3
0 2 3
3 2 0
0 0 0
3 0 1
3 3 3
1 2 0
3 1 2
1 0 3
1 3 1
10 8
2 2 2
1 2 3
2 2 0
3 2 2
3 2 1
3 0 3
1 0 1
1 1 3
3 3 1
0 0 0
10 3
3 1 0
0 0 0
1 1 2
0 2 3
0 1 1
1 2 1
0 2 1
0 1 2
3 3 1
3 3 2
10 4
1 0 2
2 1 2
0 2 2
0 0 2
1 1 0
1 2 1
2 2 1
1 1 1
2 0 0
1 2 2
10 3
1 0 1
2 1 2
3 3 0
3 3 3
3 3 2
0 0 0
1 3 3
0 2 1
3 2 1
2 1 3
10 9
2 3 0
0 0 3
2 2 3
3 3 2
0 1 1
2 3 3
1 1 3
3 1 2
0 1 2
3 2 1
10 5
0 2 0
1 1 1
1 0 2
0 0 0
0 1 0
2 1 1
2 0 1
2 0 2
2 1 2
1 2 2
10 3
3 1 3
3 0 2
0 3 1
0 0 2
3 1 0
0 1 3
2 0 2
2 3 1
3 3 0
0 1 0
10 2
0 1 2
2 0 2
0 0 0
2 0 1
2 2 0
0 2 2
1 0 0
1 2 1
2 2 1
1 1 0
10 7
1 2 2
0 2 0
0 2 2
2 0 1
0 1 1
0 2 1
2 1 1
1 1 0
0 1 2
2 2 2
10 8
0 1 0
1 0 1
2 1 0
1 1 2
0 0 2
1 1 0
1 2 1
1 2 2
0 1 1
2 0 2
10 7
1 1 0
1 0 2
0 1 0
1 0 1
2 0 1
0 2 2
2 2 0
0 2 0
1 1 1
0 0 1
10 2
3 3 0
2 1 0
0 3 2
0 1 3
3 2 3
1 1 3
1 2 0
2 0 1
1 1 0
3 2 1
10 3
0 0 2
1 0 1
1 1 2
1 2 2
0 1 2
1 1 1
0 0 1
0 1 0
1 0 2
0 2 1
10 3
0 1 2
0 0 2
1 1 0
2 3 1
3 0 1
3 0 3
0 2 3
1 2 0
0 1 3
3 1 0
10 8
2 0 2
3 0 2
3 1 0
1 0 3
0 3 3
1 3 0
2 2 0
1 1 3
0 3 2
2 2 3
10 6
2 1 3
3 1 0
0 1 3
1 1 1
0 1 1
1 1 0
0 3 0
2 2 0
1 0 2
1 2 1
10 6
3 0 3
2 0 0
2 0 2
3 3 2
0 1 3
2 3 2
1 3 1
3 1 1
1 2 2
0 2 1
10 2
2 2 0
1 0 0
2 1 2
0 2 1
1 2 2
0 1 1
0 1 0
1 2 1
2 2 2
1 0 2
10 6
3 1 0
1 1 1
1 1 3
3 2 1
2 2 0
2 3 1
3 2 2
3 2 3
1 2 2
1 2 0
10 6
2 1 2
3 3 1
3 2 3
3 0 2
3 0 0
3 1 0
1 2 1
1 1 2
0 3 0
0 2 2
10 6
2 2 1
0 2 2
0 0 1
3 0 0
1 3 1
3 2 2
0 0 0
2 3 3
3 3 3
0 2 3
10 9
1 2 1
3 2 3
0 0 2
2 2 3
0 3 2
1 0 3
0 0 0
1 3 1
1 3 3
3 3 3
10 7
1 2 0
1 0 1
2 2 0
0 1 2
2 1 0
2 2 1
1 1 1
0 0 0
2 0 1
0 0 1
10 8
0 0 0
1 0 1
2 1 0
2 2 2
0 0 1
0 1 1
2 1 1
1 1 1
2 0 1
1 2 0
10 9
2 1 0
2 3 2
2 2 2
2 0 1
3 1 0
0 2 3
3 0 3
0 3 1
3 1 2
3 3 3
10 6
0 1 2
0 1 0
1 2 0
1 2 2
1 1 1
2 2 1
1 0 1
2 0 2
2 2 0
1 1 2
10 8
2 0 3
3 1 1
0 2 1
0 2 0
1 1 0
3 1 2
0 1 2
3 1 3
1 2 3
3 0 2
10 9
1 0 2
2 0 1
0 0 2
0 0 1
2 2 2
0 0 0
1 1 1
2 2 0
1 2 2
1 1 0
10 3
0 0 3
3 3 2
3 0 2
1 3 3
1 0 0
2 3 1
1 3 2
0 0 1
1 0 3
3 2 2
10 3
1 2 2
0 0 2
2 0 1
1 0 2
0 1 0
0 1 1
2 1 2
0 0 0
2 1 0
0 0 1
10 9
1 0 1
1 1 3
2 0 2
2 3 3
3 1 3
0 1 2
0 2 2
1 1 2
3 3 0
3 0 1
10 3
0 2 1
1 2 2
2 2 1
2 1 2
2 0 0
0 1 0
2 2 2
0 1 2
1 1 2
1 2 1
10 3
3 2 0
2 3 1
2 2 3
3 3 3
1 2 0
2 0 3
3 2 2
0 2 1
2 3 3
0 0 1
10 7
2 1 2
1 1 2
1 2 2
2 0 1
0 2 2
0 1 1
2 0 0
1 1 0
0 1 0
0 0 1
10 2
2 2 2
0 2 2
1 2 2
0 0 2
2 1 0
0 2 1
1 1 0
2 1 1
1 0 2
0 1 0
10 3
2 1 2
0 1 1
0 2 0
1 2 1
1 0 1
1 1 1
0 2 1
0 2 2
2 0 2
0 0 0
10 4
2 1 2
3 2 1
3 1 3
2 2 0
3 0 3
0 1 3
1 1 3
0 3 2
1 0 1
1 2 0
10 5
3 2 3
0 0 2
1 1 1
3 3 2
0 1 2
2 1 1
2 0 2
0 3 0
0 1 1
3 1 3
10 9
0 0 1
2 3 1
3 1 3
3 1 2
1 2 1
0 0 3
3 0 0
2 2 1
1 3 3
0 2 0
10 4
2 2 2
0 0 2
0 2 0
1 2 1
2 2 1
2 1 0
1 2 2
2 0 0
0 0 1
1 0 0
10 4
3 0 0
2 0 3
3 1 2
2 3 2
0 0 0
3 3 0
3 0 3
1 0 1
3 2 2
2 1 3
10 7
3 0 3
1 0 0
3 3 2
2 2 2
0 0 3
0 3 0
0 2 1
3 3 0
1 0 1
3 1 1
10 6
0 2 1
0 0 0
1 1 0
0 2 0
2 2 1
2 2 2
1 2 1
2 0 0
1 2 0
0 1 0
10 3
0 1 1
1 2 2
1 0 0
2 0 2
0 1 0
0 2 0
0 0 2
0 1 2
2 0 0
0 0 0
10 9
2 1 1
1 0 1
2 2 2
0 0 1
0 0 2
1 2 2
0 1 2
1 2 0
0 2 2
0 2 0
10 2
0 1 1
0 3 0
3 3 2
0 1 2
2 3 3
3 3 0
1 2 0
3 3 1
0 1 0
3 2 0
10 2
0 1 1
1 1 2
2 0 1
1 1 0
1 2 2
0 2 0
0 1 2
0 0 1
1 2 1
2 2 0
10 9
0 0 2
2 2 0
0 0 0
0 2 2
1 2 0
1 0 1
2 1 0
2 2 2
2 0 0
2 0 1
10 4
1 1 0
2 0 2
3 0 1
1 2 2
1 2 1
1 0 3
2 2 1
3 3 0
3 3 2
2 1 2
10 4
0 0 2
0 1 0
3 1 2
0 2 2
3 1 1
1 0 1
1 1 3
3 3 0
3 2 3
1 3 3
10 5
3 0 1
0 3 3
1 0 1
0 0 1
0 1 1
1 0 2
3 0 2
2 3 2
2 2 1
3 1 1
10 4
1 1 0
2 1 0
1 2 2
1 2 1
2 2 0
0 0 0
1 0 1
1 0 2
2 2 2
0 2 0
10 6
0 1 2
2 2 2
1 1 2
1 2 1
2 0 2
2 1 0
0 2 0
2 0 0
1 2 2
0 1 0
10 3
3 0 3
0 1 1
2 3 0
3 3 2
1 2 0
2 2 2
0 3 2
2 3 2
1 1 0
0 2 3
10 5
3 1 1
2 0 2
0 2 1
2 1 2
0 0 0
3 3 0
1 0 1
1 1 1
3 1 2
2 3 0
10 6
2 0 1
0 0 1
1 1 1
0 0 2
2 0 0
2 2 0
1 2 0
2 2 1
0 1 0
2 1 1
10 6
0 0 0
1 2 1
2 1 2
1 1 1
1 2 2
2 2 2
1 0 0
0 1 1
1 1 0
2 2 0
10 3
2 1 3
3 3 0
0 0 0
0 3 1
2 2 0
2 0 0
2 3 0
2 0 2
0 0 1
2 1 1
10 3
0 2 0
2 0 0
0 0 1
0 1 2
1 1 2
1 2 1
2 1 0
1 0 0
0 2 2
1 0 2
10 3
2 1 2
0 1 0
1 2 1
2 2 1
0 1 2
1 2 2
0 2 1
2 1 1
1 1 2
1 0 0
10 2
2 2 0
0 1 1
0 2 1
1 2 1
2 0 2
2 1 1
1 0 0
2 2 2
0 0 1
1 2 2
10 4
2 1 1
2 2 0
0 1 2
0 0 1
2 0 0
1 1 2
0 1 0
0 2 2
2 0 1
1 2 1
10 3
0 1 1
2 1 2
1 0 0
1 0 1
2 0 1
2 1 1
0 2 2
1 1 2
0 1 0
2 2 0
10 3
1 0 0
1 2 0
0 1 2
2 1 2
1 1 2
2 1 1
1 1 1
0 2 1
1 0 2
0 0 0
10 7
1 3 3
3 3 2
1 1 1
3 0 0
3 3 3
1 1 2
3 0 1
1 2 1
2 2 2
0 1 1
10 6
1 0 1
2 0 2
2 1 0
0 1 2
0 0 1
1 1 0
1 1 1
1 2 2
0 2 2
0 2 0
10 5
2 2 1
1 0 0
1 1 1
0 2 1
0 1 2
2 1 1
2 2 2
1 2 0
1 1 2
2 0 2
10 8
0 2 2
2 0 0
2 0 2
1 2 2
2 0 1
0 2 1
2 1 2
1 2 1
0 0 1
0 1 1
10 6
0 1 1
1 1 3
2 2 3
0 3 0
3 0 0
3 3 2
3 1 1
2 2 0
1 0 3
3 1 2
10 6
3 0 0
1 3 0
0 1 0
3 3 3
1 1 1
2 3 1
0 2 3
2 0 1
0 2 0
0 3 0
10 3
2 0 3
1 2 2
1 3 1
2 2 1
3 3 2
2 0 0
1 2 0
3 1 1
3 0 1
1 0 2
10 8
2 0 2
2 1 0
0 0 0
2 0 1
2 1 2
0 1 2
1 0 2
1 1 2
2 2 0
1 0 0
10 9
1 2 3
3 0 3
1 3 1
3 0 1
1 0 2
0 0 3
3 1 0
0 0 2
2 1 0
2 1 1
10 7
2 1 0
2 3 2
0 1 2
3 1 0
1 3 2
0 2 2
3 0 1
2 2 2
2 0 1
2 1 1
10 3
1 2 0
1 1 2
0 2 2
0 2 0
0 1 2
2 1 0
1 0 1
2 0 1
2 1 2
2 1 1
10 4
2 1 2
0 2 0
1 0 2
0 1 0
2 1 0
2 2 1
0 1 2
0 0 2
2 0 2
1 1 1
10 9
1 1 0
2 1 2
2 1 0
0 2 2
2 0 0
1 0 1
2 0 2
2 2 2
2 2 0
1 1 2
10 2
2 0 3
1 2 1
0 2 2
1 0 1
3 1 3
3 3 1
0 3 2
0 3 1
3 1 0
1 3 3
10 3
1 2 1
3 0 1
3 0 0
2 0 0
3 3 1
0 3 2
1 0 2
1 1 2
1 3 3
3 3 3
10 4
1 0 1
2 2 3
1 1 1
1 3 1
0 3 0
3 3 0
1 1 3
1 3 0
0 2 3
0 0 0
10 3
2 0 0
0 2 0
2 0 2
1 0 1
1 1 0
0 1 2
1 0 0
0 0 1
2 2 2
0 0 2
10 5
1 2 0
1 1 1
0 1 0
0 0 2
0 0 1
2 0 1
0 1 1
1 0 1
1 2 2
2 1 0
10 6
1 2 1
3 1 1
0 2 3
0 3 1
0 1 1
3 2 0
1 3 2
1 3 1
0 1 0
0 2 2
10 4
2 2 1
2 2 3
0 3 1
2 1 3
0 2 3
3 3 0
1 2 0
0 2 2
1 2 1
2 0 1
10 2
3 2 2
2 2 1
2 3 2
2 2 3
2 3 3
1 1 2
1 3 0
2 0 3
0 1 3
2 2 0
10 4
2 1 2
2 1 3
3 1 0
2 2 0
0 2 3
1 1 3
3 2 2
2 2 2
1 2 1
2 1 0
10 3
2 2 2
2 0 2
1 1 0
0 2 0
2 1 0
2 2 1
0 0 0
0 1 1
1 2 2
1 0 2
10 4
2 0 1
1 0 2
2 2 0
1 1 0
0 1 2
0 2 1
0 2 0
2 1 2
0 0 0
1 0 1
10 9
0 2 2
0 0 0
2 2 2
1 0 2
0 1 2
1 2 3
3 3 0
1 3 3
0 1 3
2 1 0
10 5
2 1 0
0 0 1
2 1 2
1 2 0
1 0 1
2 2 1
0 2 1
2 1 1
0 1 1
0 1 2
10 4
1 1 0
2 0 1
0 2 2
0 2 0
1 1 2
1 2 2
0 1 0
0 1 2
2 2 0
0 0 1
10 2
1 0 0
1 1 0
3 1 2
2 3 0
2 3 2
2 1 3
1 1 1
2 0 1
0 0 3
3 0 0
10 8
0 2 1
1 2 0
1 0 0
0 2 2
2 1 1
1 0 2
1 1 1
1 1 2
1 2 1
2 2 2
10 5
2 3 3
3 2 3
1 1 2
1 1 1
1 0 2
2 1 3
0 1 0
2 0 2
2 1 0
1 0 0
10 6
0 2 1
1 1 0
0 2 0
2 2 1
1 0 0
2 2 2
1 0 1
1 2 2
2 1 1
1 0 2
10 8
0 0 1
3 1 1
1 3 2
1 1 3
2 1 2
3 2 1
2 0 1
0 1 0
1 0 1
0 1 1
10 4
3 3 3
2 1 3
3 0 1
1 2 0
2 3 1
0 0 0
2 1 1
1 0 0
0 2 3
1 1 2
10 5
0 0 3
3 3 0
1 2 3
2 1 2
0 2 1
2 0 1
0 0 2
1 0 0
3 2 2
0 1 0
10 4
0 3 3
3 1 2
0 0 2
3 1 3
1 2 1
3 2 0
2 3 1
1 3 0
1 1 1
3 0 0
10 6
0 2 0
3 2 1
2 3 2
1 2 3
1 3 2
2 0 0
1 0 2
2 3 3
1 3 3
0 3 3
10 8
1 2 2
3 3 2
1 1 2
1 1 1
0 3 1
2 1 2
3 2 1
0 0 2
1 0 0
3 1 0
10 7
1 3 2
0 2 1
0 1 1
2 2 2
2 1 0
2 1 3
2 0 2
2 0 1
1 1 0
0 2 2
10 6
2 0 3
1 0 0
1 0 3
2 3 2
2 2 0
3 3 1
2 1 0
2 3 1
3 2 0
1 2 1
10 6
1 0 1
1 1 1
2 0 0
1 1 0
0 0 1
1 2 2
1 1 2
2 0 2
0 1 2
1 0 0
10 8
2 1 0
0 0 2
0 0 0
0 1 0
0 0 1
1 2 2
0 2 2
1 0 1
0 1 2
2 1 2
10 2
0 0 3
3 0 2
3 1 1
0 2 1
2 1 3
0 2 2
1 3 3
2 2 1
1 2 1
0 3 2
10 4
0 2 1
2 0 2
1 1 2
2 1 2
1 0 2
2 2 2
1 2 2
0 0 1
0 1 0
1 1 1
10 2
3 2 0
1 1 0
1 1 2
2 3 3
3 1 2
1 1 3
1 2 2
0 0 1
2 1 1
1 3 0
10 4
0 2 1
2 1 0
1 1 0
1 0 1
1 1 1
2 2 0
2 0 1
2 0 0
1 2 2
2 2 2
10 4
2 2 0
0 1 0
1 1 2
3 3 3
1 0 1
3 2 1
2 1 2
1 2 3
3 1 0
2 2 1
10 3
1 3 1
2 0 0
2 3 0
0 0 2
1 1 1
2 1 3
1 2 3
3 3 0
0 0 3
3 1 2
10 4
1 1 2
2 2 1
3 0 1
2 3 3
0 0 1
3 3 2
0 1 0
0 0 0
3 1 0
1 0 3
10 5
1 0 0
1 1 1
0 0 2
0 0 0
2 1 2
0 1 0
1 0 1
1 1 0
1 2 2
2 0 1
10 9
2 3 1
1 2 3
3 1 2
1 3 3
1 3 0
2 3 2
1 2 1
2 3 3
1 2 2
3 2 0
10 8
0 1 2
1 1 2
2 0 1
1 1 0
0 0 1
0 2 2
2 2 2
2 0 0
1 2 2
2 0 2
10 3
1 2 0
0 3 0
0 2 2
1 0 0
2 3 0
0 0 2
0 2 0
2 2 3
0 1 2
3 2 2
10 4
1 2 0
1 2 3
2 3 3
1 2 1
1 2 2
2 3 0
3 0 2
2 2 3
0 0 1
1 0 2
10 3
0 1 2
2 2 2
2 0 1
0 2 1
2 0 2
0 1 0
1 2 2
0 0 2
2 1 2
1 0 0
10 8
0 0 1
1 2 2
0 2 0
1 0 1
2 0 1
2 2 1
2 0 0
2 1 0
2 0 2
2 1 2
10 9
0 1 0
2 2 2
0 1 2
0 2 2
0 1 1
0 0 2
2 2 1
1 0 2
2 1 1
1 1 1
10 9
1 2 0
2 2 2
1 0 0
0 0 1
2 2 1
2 0 0
0 1 2
2 0 2
1 0 1
2 2 0
10 3
1 2 2
3 3 0
0 2 2
3 2 1
3 1 2
1 2 3
1 0 2
3 2 2
1 3 2
3 3 3
10 9
3 0 1
1 0 0
2 3 1
0 0 2
2 0 1
3 3 0
0 3 2
0 1 1
1 0 2
1 1 0
10 8
2 2 1
0 2 0
1 2 1
2 1 1
0 1 1
1 2 0
1 0 0
2 1 0
1 1 0
2 2 0
10 2
1 2 1
0 1 0
1 0 3
3 2 1
2 1 1
0 2 0
1 3 0
3 2 0
0 1 2
0 3 2
10 4
1 3 2
1 2 0
3 0 3
0 3 0
2 0 0
0 3 3
0 1 3
3 1 3
1 0 0
3 0 1
10 9
2 2 0
0 0 0
2 0 0
2 1 0
1 1 1
1 2 2
2 2 2
1 2 0
2 0 1
0 2 1
10 3
0 0 0
0 0 1
1 1 1
1 2 2
0 1 0
2 0 0
1 1 0
1 0 2
1 0 0
1 0 1
10 7
1 3 3
3 1 3
2 2 0
2 1 2
2 2 1
0 3 1
3 1 2
1 0 2
3 0 0
0 0 1
10 6
0 1 1
1 0 2
0 2 1
0 1 2
1 1 1
1 2 2
2 0 2
1 0 1
2 2 0
2 0 1
10 2
1 0 1
1 2 1
0 2 0
2 1 1
1 1 2
2 2 0
0 2 2
0 2 1
0 1 2
1 2 2
10 5
0 0 1
0 1 1
2 1 0
2 1 2
2 0 0
1 0 0
0 0 0
1 1 2
2 1 1
1 0 1
10 6
3 0 0
3 3 2
1 0 2
3 3 1
0 1 3
0 1 2
3 2 3
3 1 0
1 0 1
0 3 0
10 3
1 2 0
1 1 3
2 2 2
1 0 3
0 0 0
2 1 1
0 0 2
1 1 2
1 0 1
0 1 2
10 2
3 0 0
1 3 1
2 0 1
3 3 0
1 2 2
2 2 0
0 2 1
2 2 2
0 3 2
0 2 0
10 9
3 0 2
0 1 2
3 1 3
2 0 3
3 2 0
0 0 3
3 3 2
1 3 2
1 3 1
2 0 0
10 9
2 1 1
2 0 0
1 2 0
1 1 1
2 0 2
2 1 2
0 2 0
2 2 1
1 2 1
2 2 2
10 3
2 1 0
0 0 0
1 2 2
1 1 0
1 0 2
1 1 1
2 1 2
0 1 1
0 0 2
0 2 0
10 3
2 1 2
2 2 1
1 0 0
1 0 1
0 0 0
0 2 1
0 1 0
2 1 1
0 2 0
0 2 2
10 4
2 3 2
2 2 1
1 1 1
0 1 1
0 0 3
1 1 2
2 1 0
3 1 0
1 1 3
0 1 0
10 6
1 3 1
1 1 2
0 0 3
1 0 2
0 1 2
3 3 0
1 2 0
3 3 1
2 3 1
3 1 2
10 5
0 1 1
1 1 1
2 0 2
1 0 1
0 0 0
1 1 2
1 2 0
0 2 0
1 1 0
0 0 1
10 5
3 2 2
2 2 1
3 1 0
3 1 2
3 0 1
1 2 0
1 3 1
0 3 3
0 1 0
3 0 3
10 9
2 2 3
0 1 0
1 1 2
3 0 1
1 2 3
2 3 1
3 1 0
2 2 0
0 3 0
0 3 1
10 6
0 0 3
0 2 2
1 2 1
1 0 3
3 3 2
1 1 3
0 3 2
2 1 3
0 2 1
3 3 1
10 4
1 0 1
2 0 0
1 0 2
0 1 1
2 2 0
0 0 0
0 2 2
1 0 0
2 1 2
0 2 1
10 9
1 1 2
1 2 0
0 1 2
2 0 0
1 1 0
1 0 0
2 0 1
0 2 2
1 0 2
1 0 1
10 8
3 3 2
1 3 2
0 0 3
1 1 3
2 1 1
2 2 1
0 3 3
2 0 0
0 0 2
1 0 1
10 3
2 0 0
1 2 2
0 0 2
2 2 1
0 2 0
2 2 2
0 1 0
0 1 1
1 0 1
1 0 2
10 6
0 1 3
0 3 3
3 3 0
0 1 1
0 3 2
2 3 1
0 2 1
2 0 3
0 1 0
3 1 0
10 6
2 0 1
1 1 0
0 2 2
0 1 2
1 2 1
1 2 0
2 0 2
0 0 2
2 2 1
2 1 0
10 8
1 1 2
1 0 2
2 2 2
0 0 0
2 1 0
2 0 0
1 0 0
0 2 0
2 1 1
0 1 2
10 7
2 0 0
1 3 0
3 3 3
0 2 3
2 0 3
3 3 1
0 1 2
1 2 1
2 1 2
2 3 2
10 8
2 0 0
2 1 1
2 1 2
0 1 1
2 0 2
2 3 1
1 0 0
0 2 0
3 1 2
0 1 0
10 9
1 0 2
0 1 2
2 1 1
1 2 1
2 2 1
0 1 0
2 0 1
2 0 0
1 1 0
0 0 2
10 2
0 2 2
0 2 0
2 1 2
1 1 0
1 2 2
0 1 2
0 1 0
1 2 0
1 1 1
2 0 1
10 2
2 2 0
2 0 1
1 0 0
1 1 0
1 0 2
1 1 2
0 2 2
0 1 1
2 1 1
2 0 2
10 9
0 0 0
0 0 2
3 2 2
2 3 2
3 3 2
3 0 1
3 3 0
2 1 1
2 2 0
1 2 2
10 5
2 1 1
3 2 2
1 1 1
3 0 3
0 0 2
2 3 3
0 0 1
1 3 0
3 3 3
1 0 0
10 9
0 1 1
1 0 2
1 1 1
1 1 2
0 0 2
2 0 2
2 1 1
1 2 0
2 0 0
0 1 2
10 7
0 2 2
1 2 3
2 2 1
2 3 3
2 3 2
2 2 0
1 0 3
0 0 2
3 2 0
2 3 1
10 7
2 1 3
3 1 2
0 3 0
3 3 0
1 2 1
1 1 1
3 3 1
2 3 2
3 0 3
2 1 2
10 7
1 2 1
1 0 3
1 0 1
1 3 2
1 2 3
3 1 2
0 0 3
1 1 1
1 1 2
1 2 2
10 8
2 2 3
3 2 2
3 1 3
2 2 0
1 1 3
1 0 0
0 0 0
3 3 1
1 1 1
0 3 0
10 8
2 0 2
0 3 1
3 1 2
2 2 1
1 2 3
0 3 3
3 1 3
3 0 3
0 2 0
0 3 2
10 9
3 0 0
1 1 0
3 1 2
2 3 2
3 2 2
1 1 1
2 1 1
2 1 3
2 1 0
3 3 0
10 6
1 1 1
2 0 1
3 3 3
3 2 1
2 2 2
1 1 3
3 3 1
0 0 2
2 3 3
0 2 1
10 6
2 3 1
1 3 0
2 0 2
2 0 0
3 2 2
2 1 1
1 3 3
0 0 0
0 1 1
0 2 1
10 4
3 0 0
2 0 0
2 2 1
2 3 2
0 1 1
3 1 1
2 2 0
1 2 2
3 1 2
3 3 1
10 9
0 1 1
1 2 0
2 2 2
0 2 2
0 1 2
1 2 2
0 1 0
1 1 2
0 0 2
0 0 0
10 2
1 0 0
0 0 3
2 0 3
1 2 0
3 2 2
0 2 2
3 3 0
2 2 1
0 1 1
3 1 3
10 4
2 1 0
2 2 1
2 0 0
2 2 0
1 2 2
0 1 0
1 0 1
1 2 0
1 1 0
0 0 2
10 3
2 0 2
1 2 1
0 0 2
2 0 1
2 2 0
2 1 1
1 0 0
1 0 1
1 2 0
2 1 0
10 5
1 2 0
1 0 3
0 2 2
2 3 1
3 2 1
1 3 0
0 3 2
1 0 1
3 1 0
2 0 0
10 7
2 2 1
2 1 1
1 2 1
2 1 0
0 0 1
0 0 0
1 1 1
1 0 1
2 0 0
2 1 2
10 8
1 1 2
2 1 3
1 0 3
3 0 2
3 1 1
0 1 0
3 1 2
3 3 1
2 0 3
2 1 2
10 9
1 0 3
0 0 3
1 3 3
1 3 0
3 3 0
0 0 2
0 3 2
3 2 0
2 2 3
0 1 3
10 9
0 0 0
2 2 1
2 2 2
2 2 0
1 0 2
2 0 1
1 2 0
1 1 2
2 0 2
1 0 1
10 8
1 1 1
2 2 1
1 2 0
0 1 2
2 1 0
1 2 1
0 2 0
0 2 2
1 1 0
1 2 2
10 9
2 0 2
0 2 0
0 2 2
1 2 2
2 1 0
1 0 1
0 0 1
1 1 0
0 1 0
2 1 1
10 5
1 1 0
2 1 1
1 2 0
2 0 1
2 1 0
0 1 2
1 1 1
1 1 2
0 2 0
1 2 2
10 7
0 1 2
2 0 1
1 2 1
0 2 0
0 1 1
1 1 0
2 1 0
2 0 2
1 1 2
0 0 1
10 4
1 1 2
0 0 2
1 0 0
0 0 1
1 2 0
1 1 1
1 1 0
1 2 1
1 2 2
0 1 2
10 7
3 2 0
3 0 2
0 1 1
3 2 1
1 0 3
0 2 0
3 3 3
0 1 0
0 3 3
3 1 2
10 2
2 1 2
1 1 0
0 0 1
3 2 0
3 3 0
2 1 0
3 2 1
2 0 2
2 3 3
0 0 3
10 5
0 1 1
1 2 0
2 1 0
0 1 2
1 1 0
0 0 2
0 2 0
2 1 1
2 1 2
2 0 0
10 7
2 2 0
1 2 0
0 1 0
0 0 2
2 2 2
0 0 0
2 1 1
1 1 1
1 1 2
1 2 1
10 7
1 0 3
0 3 3
0 0 3
0 1 1
0 1 2
3 0 1
0 0 0
3 0 2
0 1 3
3 2 2
10 2
3 1 1
0 3 2
1 1 3
0 2 2
3 2 3
2 0 0
2 0 2
2 1 0
0 1 1
3 0 0
10 7
0 3 3
0 2 3
3 2 3
2 1 1
2 2 2
1 0 0
2 3 3
1 1 1
0 1 1
2 2 0
10 7
0 0 2
1 2 2
1 1 1
1 1 0
1 0 1
0 1 0
2 2 1
2 0 2
1 0 2
0 1 1
10 8
0 0 0
1 1 0
1 0 1
1 1 1
1 1 2
0 0 1
2 1 2
0 1 0
0 2 2
0 2 1
10 4
0 0 3
2 2 2
1 1 2
1 1 1
1 2 1
1 2 2
3 1 3
1 0 0
2 2 0
3 1 0
10 4
1 0 1
2 3 2
3 0 2
0 3 3
2 0 1
1 0 3
3 2 3
1 1 1
1 0 0
3 2 0
10 8
1 1 2
1 0 1
1 0 0
1 0 2
0 2 1
0 1 0
0 0 0
0 2 2
2 0 0
0 1 1
10 4
0 2 0
0 0 1
0 0 0
0 0 2
0 2 1
2 2 1
1 2 0
1 0 2
2 2 0
0 2 2
10 7
1 3 0
3 0 1
2 0 2
0 3 0
3 2 3
0 0 0
1 2 0
2 3 0
1 2 3
1 2 2
10 4
0 1 2
2 2 2
2 0 2
0 2 0
1 1 0
2 1 0
2 0 1
0 2 1
0 1 0
0 1 1
10 4
3 2 2
0 2 1
3 1 0
3 2 0
3 0 3
3 2 3
1 0 1
1 1 1
1 2 0
1 2 3
10 5
2 0 1
1 1 0
2 1 0
1 1 1
0 0 0
0 2 1
2 2 0
0 1 2
1 0 0
1 2 2
10 3
0 0 1
1 1 1
2 2 1
0 0 0
0 1 0
0 1 1
0 2 0
0 0 2
2 0 0
2 1 0
10 7
1 2 0
0 2 0
1 1 0
0 0 2
2 0 1
0 1 1
1 0 2
2 1 1
2 2 0
2 1 2
10 5
1 2 0
3 1 1
0 3 3
2 3 2
1 1 2
3 2 2
2 0 3
3 3 1
0 1 3
0 3 2
10 4
0 1 0
0 0 0
2 1 2
2 2 1
2 3 3
1 0 3
3 0 2
0 3 2
1 2 3
1 3 1
10 8
1 1 2
2 2 0
0 2 2
2 1 1
0 1 1
1 1 0
0 0 1
2 2 1
2 2 2
1 2 1
10 9
2 0 1
3 2 0
3 3 3
2 1 2
0 0 3
3 2 1
3 3 0
1 2 0
1 3 2
3 3 2
10 7
0 0 2
3 0 3
0 0 1
3 0 1
3 2 2
2 1 3
2 0 1
3 0 2
2 3 2
1 3 2
10 8
0 1 1
0 2 0
0 1 0
1 0 2
1 0 1
2 0 0
2 0 2
1 2 2
1 2 0
0 0 0
10 4
0 1 3
2 3 2
3 0 2
2 1 1
1 0 3
2 3 3
3 3 3
0 2 1
0 3 0
2 2 1
10 9
3 3 2
3 3 3
3 3 1
0 1 2
1 0 2
1 0 0
3 2 2
2 0 1
1 2 1
3 2 3
10 2
1 2 2
1 0 1
1 1 1
2 2 0
1 0 0
2 0 2
0 1 0
0 2 1
1 0 2
2 2 1
10 5
1 0 1
0 1 1
1 1 2
0 0 1
2 1 0
1 0 2
2 0 2
2 2 0
1 2 0
2 1 1
10 3
2 1 0
2 2 1
0 2 2
2 2 2
1 1 2
1 1 0
0 0 2
0 2 1
1 0 0
2 1 1
10 3
1 2 1
1 0 0
2 0 2
2 1 2
0 2 1
1 2 0
2 2 0
1 0 1
2 2 1
0 2 2
10 5
2 1 2
0 0 1
2 2 2
0 2 0
1 0 1
0 1 0
2 2 1
0 0 0
2 0 2
0 2 1
10 9
2 2 1
1 1 1
1 0 0
2 2 0
1 2 0
0 0 0
0 2 2
1 0 2
0 1 1
0 2 1
10 2
2 1 0
1 0 0
1 1 2
2 0 1
0 1 2
3 0 2
1 3 0
3 0 1
2 3 0
1 1 1
10 9
0 2 0
1 3 0
0 2 3
1 1 0
2 0 2
0 2 1
3 1 0
1 3 2
2 0 3
0 1 0
10 9
2 0 0
2 1 1
0 0 1
1 1 0
2 1 0
1 1 1
1 0 0
2 2 0
1 0 2
1 2 1
10 4
1 0 0
1 1 2
1 2 2
2 0 2
2 0 1
2 1 2
1 2 1
1 2 0
2 0 0
0 2 1
10 9
2 0 1
2 1 0
0 2 2
0 0 1
0 2 1
1 0 1
0 1 0
0 1 2
0 1 1
0 2 0
10 5
2 0 3
3 3 3
3 1 0
3 0 2
2 0 2
0 1 3
1 3 3
0 1 0
1 2 0
1 2 2
10 2
0 1 1
1 2 1
1 0 0
0 0 0
2 0 0
2 2 1
2 2 2
2 1 1
1 2 0
0 1 2
10 5
3 0 1
3 1 3
3 0 0
1 1 1
3 2 2
0 0 3
2 0 2
3 2 1
0 2 2
3 1 1
10 3
1 0 2
0 1 1
2 2 1
0 2 2
1 2 2
1 1 2
0 2 1
1 2 0
2 2 2
2 2 0
10 8
2 1 3
3 3 2
0 0 1
2 2 2
0 1 0
0 0 0
1 2 3
0 2 3
2 3 1
3 0 2
10 8
3 3 2
2 2 2
3 1 2
3 3 0
3 1 1
1 1 3
0 1 0
1 2 1
2 3 0
2 2 3
10 7
0 2 0
2 0 2
2 1 0
1 2 1
2 0 1
0 1 2
2 2 0
1 2 2
1 0 0
1 1 2
10 8
3 0 3
0 0 2
1 1 1
1 3 1
2 0 1
1 3 2
0 3 1
2 2 1
2 0 0
2 3 2
10 5
2 1 1
3 3 3
2 2 1
0 0 1
3 2 3
1 3 3
3 0 0
0 3 3
0 0 2
3 1 0
10 9
0 2 2
3 2 3
3 3 0
1 3 2
2 1 2
1 2 1
0 2 0
1 3 3
1 0 1
0 3 0
10 2
2 3 1
2 1 0
3 2 1
0 3 1
1 0 2
0 1 2
2 0 2
1 3 2
0 0 0
2 2 0
10 8
3 2 1
2 3 0
1 2 1
0 2 3
3 0 1
2 1 0
0 2 2
0 1 2
3 2 2
0 0 1
10 8
2 2 1
2 2 0
2 2 2
1 2 1
2 0 2
0 0 0
2 0 0
1 1 1
1 1 0
0 1 2
10 4
2 1 1
2 0 2
2 1 0
2 2 1
1 2 0
0 1 1
2 0 0
0 1 0
0 0 0
0 2 2
10 3
0 2 2
2 0 2
1 0 0
2 1 0
3 1 1
2 0 1
0 3 2
2 3 0
1 3 3
3 3 3
10 2
3 3 2
0 0 1
0 3 3
0 1 3
0 1 2
1 0 1
0 2 3
3 0 3
2 2 3
2 3 1
10 2
2 2 0
0 2 1
2 1 2
1 0 0
1 1 2
0 0 1
2 0 2
0 1 0
1 1 1
0 0 2
10 2
3 1 3
1 1 2
3 3 3
2 0 0
1 0 2
3 0 1
0 2 2
1 1 1
3 1 1
3 0 3
10 9
3 3 3
2 2 3
1 1 0
0 2 3
0 2 0
0 0 3
2 1 2
2 1 3
3 2 1
2 3 2
10 6
0 1 0
1 2 3
3 1 0
1 2 2
2 3 3
2 1 3
0 3 1
0 2 2
3 0 1
1 1 3
10 5
0 2 0
2 1 1
0 1 0
1 0 2
1 1 0
1 0 1
0 2 2
2 0 1
0 1 2
2 0 2
10 9
2 2 0
2 1 0
1 2 1
2 1 2
0 1 2
1 0 2
1 2 2
2 2 1
2 2 2
0 2 2
10 5
3 2 3
1 1 0
0 3 2
2 0 2
2 0 0
2 3 1
2 0 3
3 3 0
0 0 2
0 2 0
10 6
1 0 2
1 3 3
2 0 2
2 2 3
2 1 3
2 1 2
0 3 0
0 0 0
1 2 3
3 1 1
10 9
2 3 0
2 0 1
1 2 0
2 1 3
2 0 2
2 0 0
3 3 3
0 1 1
3 3 2
3 1 1
10 4
2 1 1
1 2 2
0 1 2
2 2 0
0 1 1
2 2 1
2 1 0
0 2 1
2 0 0
1 2 1
10 3
1 0 2
3 3 0
1 1 0
1 1 3
2 2 2
0 2 2
1 2 2
2 2 1
1 1 2
2 3 3
10 3
0 1 1
1 2 0
0 0 0
0 0 1
2 2 1
2 1 1
1 1 0
1 0 1
2 2 0
1 1 2
10 6
3 3 1
2 0 2
1 0 1
1 2 0
3 3 3
3 2 0
1 3 2
1 0 0
3 0 3
0 3 1
10 8
0 0 1
0 1 2
2 0 1
1 2 1
1 1 2
1 1 0
2 1 2
2 1 0
2 1 1
1 0 1
10 4
2 1 2
2 2 2
0 0 1
2 1 0
1 1 2
1 0 2
0 1 1
2 2 1
0 0 0
1 0 0
10 8
0 0 0
0 2 0
0 2 2
2 2 2
1 1 2
1 2 2
2 1 0
1 0 2
1 1 0
1 2 1
10 4
3 2 1
0 1 1
3 2 2
0 0 1
3 3 1
1 0 1
1 1 2
0 3 0
3 0 2
0 0 0
10 4
0 1 0
1 0 1
3 0 2
1 2 1
3 0 0
1 0 2
2 3 2
2 3 1
0 0 1
3 1 2
10 3
0 1 3
3 3 0
3 2 3
3 3 3
3 3 2
1 3 1
1 0 3
1 2 3
3 1 1
2 1 3
10 3
1 2 0
0 1 2
1 0 0
0 2 1
2 2 0
2 0 1
1 0 1
0 0 1
0 1 1
1 2 1
10 5
1 1 1
1 3 2
0 2 2
2 3 1
3 1 3
0 0 1
0 0 2
0 1 1
2 0 3
2 0 2
10 2
1 3 0
0 0 1
2 2 2
2 1 0
0 1 2
3 0 2
3 0 0
2 0 1
2 3 1
1 1 2
10 8
1 1 3
2 0 1
1 2 3
1 3 0
1 1 2
3 1 2
2 2 1
3 3 2
0 3 1
3 0 2
10 5
0 0 3
2 3 1
1 2 0
3 1 2
3 2 0
1 1 2
3 3 2
1 0 2
1 0 0
1 0 3
10 5
1 0 1
0 2 0
1 1 2
1 0 2
2 0 1
1 2 1
0 2 2
0 1 2
2 2 1
2 2 2
10 8
3 1 2
2 2 2
0 2 3
0 2 1
0 1 1
1 0 0
3 2 0
0 3 3
3 3 3
3 3 2
10 3
0 0 1
0 0 2
0 1 1
2 0 2
2 2 0
2 0 0
2 2 1
1 0 1
1 1 2
2 2 2
10 8
1 1 2
0 2 2
1 1 1
2 1 0
1 2 2
0 1 2
2 0 0
1 2 0
2 2 0
1 0 1
10 9
3 0 0
3 1 2
0 3 0
0 3 3
2 0 0
3 2 0
2 1 1
2 3 1
1 1 2
3 3 3
10 8
3 1 2
1 0 3
2 2 0
1 0 2
1 2 3
0 3 0
0 1 2
1 2 2
1 2 0
1 1 3
10 8
0 1 3
2 2 0
2 0 3
2 1 1
3 0 3
2 3 1
3 2 3
0 1 2
3 0 1
0 3 2
10 6
1 0 3
0 1 2
1 3 0
2 2 2
2 2 3
0 3 1
0 1 0
3 3 0
3 1 3
3 0 3
10 6
2 0 0
0 2 0
2 0 1
0 2 2
1 2 0
1 2 1
0 0 0
0 0 1
2 1 0
1 2 2
10 5
0 1 1
3 2 2
1 1 1
1 1 3
0 3 1
1 0 3
1 0 2
3 2 1
0 1 3
2 0 2
10 4
0 2 1
2 0 1
2 2 2
2 0 2
0 2 2
2 2 1
1 2 2
2 1 2
1 2 1
1 1 2
10 2
0 0 1
0 2 2
2 3 3
1 3 2
3 0 0
0 3 1
1 2 0
3 3 0
3 3 2
2 1 3
10 9
0 0 1
3 3 2
2 1 3
3 2 3
2 3 3
3 2 0
1 0 3
0 3 3
1 3 0
1 0 0
10 7
0 1 2
2 0 1
1 0 0
1 2 0
1 0 1
1 2 1
0 1 1
0 0 2
2 1 2
0 0 0
10 9
0 2 1
2 1 1
2 0 2
2 1 2
1 1 0
2 2 1
1 0 0
0 2 0
2 0 1
1 0 2
10 7
0 1 1
0 0 2
0 2 0
1 1 2
2 0 2
0 1 2
1 2 2
1 0 2
2 2 2
1 0 1
10 6
1 1 1
2 0 2
1 2 0
2 2 1
1 1 0
0 0 1
1 2 2
0 1 0
0 2 2
0 2 0
10 5
0 1 1
1 2 1
2 2 1
2 0 0
0 2 1
0 1 2
0 2 0
2 2 0
1 1 2
2 1 0
10 2
0 2 0
0 1 2
2 1 1
2 2 0
1 2 0
1 0 0
1 2 1
2 0 2
1 2 2
2 0 0
10 3
2 2 0
3 1 3
3 3 3
0 3 1
2 0 1
1 1 0
2 3 1
2 3 2
0 3 2
2 1 1
10 2
1 0 2
0 1 3
2 1 2
0 2 1
2 3 3
3 3 2
0 0 1
2 0 2
3 2 1
1 1 0
10 8
2 2 3
2 3 1
3 1 2
2 1 3
2 1 1
1 3 2
3 3 0
1 1 0
2 3 2
0 0 3
10 8
3 3 3
0 0 3
2 3 3
3 1 0
2 0 3
2 1 2
2 2 2
2 0 0
0 1 3
1 2 2
10 4
2 1 1
2 1 2
2 1 0
0 1 2
0 1 1
0 0 2
1 2 0
1 1 2
1 2 1
2 2 1
10 7
2 2 0
3 3 3
1 1 2
1 3 2
0 3 0
1 2 1
0 3 1
0 2 2
0 3 2
2 1 3
10 9
0 3 3
0 0 1
3 3 2
1 2 3
3 2 3
2 1 1
3 3 0
0 0 2
3 0 3
1 0 1
10 6
0 3 2
0 2 0
3 3 0
0 3 3
3 1 0
0 3 1
3 0 0
0 0 0
2 3 1
2 0 3
10 2
2 1 1
0 2 1
0 0 1
2 2 1
1 2 1
2 2 2
0 1 1
0 2 0
1 1 0
1 0 1
10 6
0 2 2
1 1 0
0 0 2
1 2 0
1 2 2
0 1 0
0 0 0
0 2 1
0 0 1
2 1 0
10 8
1 3 3
1 2 1
2 2 3
1 1 0
1 1 3
0 0 3
0 3 2
0 1 1
2 0 0
0 2 2
10 8
2 2 0
0 2 0
2 2 2
0 2 2
0 2 1
1 1 0
1 0 1
2 1 1
0 1 1
0 1 0
10 3
2 1 1
1 1 2
1 1 1
0 1 1
0 1 0
0 0 2
2 0 0
1 0 1
2 2 0
0 2 0
10 5
1 2 1
1 1 1
1 2 0
1 2 2
1 0 2
2 1 0
1 1 0
1 0 0
0 1 0
2 2 0
10 6
1 1 2
0 0 1
1 1 1
2 1 0
1 2 2
3 3 0
2 0 3
3 2 2
1 2 3
1 0 0
10 4
0 0 2
0 1 0
2 2 0
1 2 2
0 2 1
1 0 1
1 1 2
2 2 1
1 2 1
0 0 0
10 7
0 0 0
2 1 1
0 3 0
3 3 1
2 0 1
2 0 0
2 2 1
0 3 2
2 0 3
3 2 1
10 9
0 1 2
1 1 0
0 2 2
2 0 1
1 1 2
2 2 1
1 2 2
1 2 0
2 2 0
0 0 0
10 5
2 0 0
1 1 2
0 0 0
0 1 0
0 2 0
0 0 1
1 0 0
2 2 2
0 2 1
1 1 0
10 3
1 0 0
1 0 2
2 0 0
0 0 1
2 2 2
0 0 2
2 1 1
1 2 1
2 1 2
1 2 2
10 4
1 2 0
2 2 1
0 2 0
3 3 3
3 3 2
0 1 2
1 1 3
2 1 0
2 3 0
1 0 3
10 4
2 0 2
1 1 2
0 1 1
2 1 2
2 0 0
1 1 0
2 2 0
1 0 2
1 2 1
2 1 0
10 3
0 1 1
0 0 2
1 0 1
2 0 1
2 1 1
0 1 2
1 2 2
2 1 2
2 0 0
1 0 0
10 6
2 1 3
1 1 0
3 3 0
0 3 2
1 1 2
3 2 0
2 0 0
1 0 2
3 3 2
1 2 3
10 8
0 1 1
0 1 0
2 2 2
0 0 0
1 2 0
1 0 1
2 1 1
1 0 0
1 1 0
0 2 1
10 2
1 1 2
0 2 1
2 1 1
0 0 0
1 0 0
1 1 0
0 2 2
0 1 0
2 2 0
2 0 1
10 9
0 3 3
0 3 0
1 3 2
3 0 1
2 2 0
2 3 0
3 3 0
1 3 3
1 0 0
0 1 2
10 9
0 2 0
1 0 1
0 0 1
1 1 1
0 0 0
1 2 0
2 1 0
0 0 2
2 2 2
1 0 0
10 9
3 2 0
2 1 0
0 3 1
1 3 3
2 2 2
3 0 2
1 1 1
1 3 1
0 1 1
1 0 0
10 6
2 0 1
2 2 0
1 1 2
2 1 1
2 0 0
2 0 2
1 0 2
2 2 2
0 1 2
1 0 0
10 7
1 1 2
3 3 3
1 2 0
1 3 0
3 3 2
1 0 2
3 1 0
2 1 3
3 1 3
0 2 2
10 2
3 1 1
3 2 1
2 0 2
3 1 3
0 2 0
2 2 3
1 2 1
2 3 0
0 1 0
1 3 2
10 6
0 1 1
2 1 1
3 0 0
2 2 1
3 3 2
0 1 2
3 2 0
1 1 1
0 0 3
0 2 3
10 2
2 3 3
3 2 2
1 0 2
0 3 0
2 0 3
0 2 0
1 2 1
3 1 3
3 1 1
0 1 1
10 5
0 1 3
2 3 3
2 1 1
0 0 0
0 0 1
0 0 2
3 3 1
2 3 2
2 2 1
2 3 0
10 3
2 2 0
1 1 1
2 1 2
0 1 1
0 1 2
0 0 0
0 0 1
2 0 2
1 2 1
2 2 1
10 8
3 2 1
2 2 1
2 2 2
0 1 1
3 1 2
3 0 1
2 0 1
1 3 2
2 3 1
0 2 2
10 8
2 0 0
0 0 2
0 3 1
1 1 2
1 1 3
3 2 3
3 3 2
0 2 1
1 0 0
3 1 3
10 9
1 1 1
0 3 1
0 1 3
3 3 0
0 0 3
3 2 0
1 1 2
3 2 3
2 3 1
3 1 0
10 6
1 0 1
2 1 0
2 0 0
2 1 1
2 2 1
0 1 2
1 2 2
2 2 0
1 0 2
0 0 2
10 3
0 1 1
2 1 0
0 0 2
2 2 0
1 2 1
1 2 0
2 1 1
0 2 2
0 2 0
1 0 0
10 8
2 2 2
1 0 0
1 1 2
0 0 1
2 2 0
0 0 2
1 2 2
1 0 1
2 0 1
0 2 2
10 9
2 1 0
1 3 2
2 0 1
0 3 0
0 2 2
1 0 1
1 3 3
2 1 1
2 3 1
2 2 1
10 6
2 2 1
1 2 1
0 0 1
0 1 1
2 0 2
0 1 2
2 1 0
1 2 0
2 0 0
2 2 2
10 8
0 1 2
2 2 2
0 2 1
0 0 0
1 1 1
0 2 2
0 1 1
1 0 1
2 0 2
0 0 2
10 7
1 1 1
1 1 2
1 2 2
0 0 2
2 2 2
0 2 1
2 2 1
1 0 1
0 2 2
2 1 2
10 3
0 1 0
0 3 2
1 0 2
0 2 0
0 2 1
1 2 2
3 3 3
2 1 1
1 3 0
0 3 1
10 4
2 0 1
1 2 1
0 2 2
1 0 1
1 0 0
2 0 0
0 1 2
2 0 2
1 1 2
0 0 1
10 3
1 0 2
2 0 2
2 2 1
2 1 2
1 0 0
0 2 2
2 2 2
2 0 1
0 0 2
0 1 0
10 8
0 0 1
2 1 2
3 0 2
1 0 1
2 0 3
2 0 0
1 0 3
1 2 2
1 3 1
1 1 2
10 6
1 1 0
2 2 2
0 0 0
1 2 1
1 0 2
0 2 2
2 2 0
2 0 1
0 2 1
1 1 1
10 9
2 2 2
0 0 2
1 1 1
0 1 1
1 1 2
0 2 1
0 2 0
0 0 1
1 2 0
2 0 0
10 7
1 1 1
1 3 2
2 0 0
3 3 3
2 1 0
1 1 3
1 2 0
2 1 3
2 2 2
2 1 2
10 9
3 2 3
3 2 1
3 0 0
1 0 2
0 2 3
3 1 1
1 0 3
2 0 1
1 1 0
0 3 2
10 5
2 3 3
2 3 0
3 1 1
3 1 3
0 1 1
3 2 0
2 2 2
0 1 0
1 3 1
2 0 0
10 2
1 2 0
2 2 2
2 2 1
2 0 2
1 0 2
0 0 1
1 1 0
2 0 0
0 2 2
0 1 2
10 4
2 0 2
1 1 2
2 1 2
0 0 2
0 1 0
0 0 0
0 2 0
2 0 1
1 2 1
1 1 1
10 6
1 2 2
1 1 1
0 1 2
0 2 2
2 2 0
0 1 0
0 1 1
1 1 0
0 2 0
2 1 1
10 7
0 1 1
1 0 2
1 1 2
2 0 1
1 2 2
1 1 1
0 0 2
1 2 1
2 1 0
2 2 1
10 3
2 2 0
2 0 1
2 0 2
0 1 3
0 0 0
0 2 0
0 0 3
1 0 0
3 1 0
2 1 0
10 4
1 1 2
2 0 1
0 0 1
0 1 0
2 1 0
1 2 1
2 1 2
2 1 1
0 2 2
1 2 0
10 2
2 0 2
3 1 3
2 3 0
2 0 3
2 3 1
0 2 3
1 1 2
1 1 3
1 2 0
3 2 3
10 6
1 1 2
2 1 0
1 2 2
1 2 0
1 1 1
0 1 2
2 2 0
0 0 0
2 0 0
2 0 1
10 7
2 3 0
1 1 3
1 0 0
0 2 3
0 1 3
0 3 0
3 1 2
3 1 3
0 3 1
2 2 1
10 8
1 2 2
0 0 0
2 1 0
1 2 0
0 1 2
0 2 2
2 1 1
1 0 0
2 0 0
1 1 0
10 8
2 1 1
2 3 0
0 2 0
0 3 1
0 0 0
1 3 2
0 2 1
2 1 0
2 1 2
0 1 0
10 2
0 1 3
0 2 0
2 1 1
0 1 0
2 1 0
1 0 0
0 2 3
2 1 2
0 3 1
2 3 1
10 3
2 2 1
2 0 2
1 1 0
1 0 0
2 2 2
0 2 1
0 2 2
1 2 1
1 0 2
0 0 1
10 3
2 1 2
1 1 2
1 2 2
0 1 0
0 2 1
2 2 1
0 2 2
1 2 0
1 1 0
0 0 1
10 4
2 2 0
1 0 2
2 2 2
0 0 0
2 1 2
2 1 0
0 1 1
1 2 0
0 2 1
1 0 0
10 8
2 1 0
2 1 3
1 1 1
3 3 3
0 0 2
1 0 1
1 1 2
0 1 2
0 2 2
3 1 0
10 4
2 0 1
1 2 1
1 2 2
0 2 0
2 1 1
0 0 1
0 2 2
2 2 0
0 0 2
0 1 0
10 7
0 0 2
2 0 1
1 0 0
0 0 1
2 0 2
0 2 2
2 2 2
1 2 1
1 0 1
0 1 1
10 7
2 3 1
2 2 3
2 0 0
3 3 3
0 3 3
3 2 2
3 1 3
3 3 1
1 2 1
0 1 3
10 8
2 2 2
0 0 1
2 2 0
2 1 1
2 0 1
2 1 0
1 1 2
1 2 0
1 2 2
2 0 2
10 7
1 1 0
2 1 2
0 1 0
2 2 1
2 0 1
0 2 0
2 1 1
0 0 1
2 0 0
1 2 2
10 9
2 0 2
2 0 1
0 1 1
2 0 0
1 2 0
2 2 1
1 0 2
0 2 0
0 2 2
0 0 1
10 8
2 2 2
3 2 3
3 0 3
2 0 0
0 3 2
2 1 3
1 1 3
1 1 0
1 0 0
3 1 2
10 3
0 1 2
0 0 2
2 1 1
1 0 0
1 0 1
0 2 2
1 2 1
2 2 2
2 1 2
2 1 0
10 5
0 0 0
2 0 0
0 2 1
1 2 0
1 1 1
0 0 2
1 0 0
2 2 0
0 2 2
1 1 2
10 8
2 1 1
0 1 2
0 0 0
0 0 1
1 1 2
2 1 0
1 1 1
0 2 2
2 2 0
0 0 2
10 5
3 3 1
3 1 0
0 3 1
0 0 2
0 2 3
2 1 3
0 1 1
1 2 0
2 2 2
2 1 1
10 6
0 3 0
2 3 1
1 0 2
1 2 0
2 3 0
3 3 3
3 1 0
2 0 3
0 2 2
3 0 2
10 6
0 1 2
2 2 1
2 0 1
1 2 2
1 2 1
0 0 1
0 1 0
2 2 2
2 1 1
2 1 2
10 7
0 1 2
1 1 0
1 0 1
2 0 1
1 2 2
2 0 0
1 2 0
0 1 0
0 2 2
0 0 1
10 3
1 2 3
2 1 0
3 3 3
2 0 1
0 3 0
2 0 2
2 2 2
0 1 3
3 3 1
0 2 1
10 5
2 2 0
0 1 0
2 3 0
0 2 3
2 0 0
1 3 1
3 2 0
1 0 0
2 3 3
3 3 0
10 7
0 0 0
0 2 1
1 0 1
1 1 1
0 1 1
0 0 2
2 0 2
2 1 1
1 2 1
0 1 0
10 3
1 2 1
1 2 0
1 1 1
2 2 0
2 0 0
0 0 1
2 2 1
0 0 0
2 1 0
2 0 1
10 7
1 2 1
2 0 2
2 0 0
1 0 1
0 1 0
2 1 0
1 1 2
1 0 0
1 1 1
0 1 2
10 6
1 1 1
2 2 1
2 0 1
0 2 2
1 2 2
2 2 0
0 1 0
0 1 1
0 2 1
1 1 2
10 5
1 3 0
3 1 2
3 2 3
3 3 3
0 3 1
2 1 3
2 3 3
1 1 1
2 0 2
3 3 1
10 4
2 2 1
1 1 1
0 2 0
1 2 1
1 0 1
2 0 2
2 1 0
2 2 0
0 0 1
1 2 0
10 2
1 2 1
1 1 0
2 0 2
0 1 0
0 1 1
1 0 2
0 2 2
2 1 0
0 1 2
1 1 1
10 9
0 1 2
1 2 2
0 2 1
1 1 1
1 0 1
1 1 2
2 1 1
2 0 0
1 2 1
2 1 0
10 9
0 1 0
3 0 2
3 2 2
2 1 2
0 2 0
0 0 0
0 0 1
0 0 3
3 2 3
0 1 3
10 2
1 3 2
0 0 3
2 0 0
3 0 0
3 2 3
2 0 3
2 1 0
0 2 3
3 1 0
0 3 3
10 6
3 0 3
3 1 1
3 2 3
0 3 1
3 2 1
0 2 1
0 2 3
0 1 3
1 3 3
2 0 2
10 7
1 0 2
2 0 0
2 3 1
3 1 2
3 2 0
3 2 3
0 1 0
0 1 1
3 1 0
1 2 3
10 8
3 1 2
0 2 2
0 1 0
3 0 1
0 1 1
3 2 3
0 2 3
1 2 0
0 3 2
0 3 1
10 7
3 2 0
2 3 0
2 3 2
1 1 2
0 2 1
2 3 1
2 1 3
1 2 1
0 0 3
0 3 1
10 8
2 0 0
0 2 2
1 2 2
0 1 2
0 1 1
3 1 3
1 3 3
0 0 0
2 0 1
2 3 0
10 5
3 2 2
0 1 2
1 1 0
3 3 0
1 3 0
2 1 3
2 0 0
3 1 3
1 0 1
2 3 3
10 3
1 0 0
2 0 1
0 1 1
2 2 0
2 2 2
2 1 0
1 2 2
1 2 0
2 0 2
2 2 1
10 5
1 0 2
1 2 2
2 1 2
2 2 1
0 2 2
2 0 2
0 1 0
1 1 1
2 2 0
0 0 2
10 9
3 3 2
0 3 1
0 0 2
3 0 3
3 3 0
0 1 2
2 3 2
3 0 1
1 1 0
0 1 0
10 9
2 1 0
2 3 2
2 2 1
1 3 2
3 2 0
2 2 3
1 1 2
0 1 3
2 2 2
1 0 3
10 2
1 2 2
1 2 3
3 2 1
2 2 3
0 3 0
0 1 1
2 1 2
2 2 2
2 1 1
2 2 1
10 5
3 3 1
0 1 2
2 3 2
2 3 0
2 2 3
3 0 0
3 0 3
3 1 2
3 0 1
1 1 3
10 7
0 1 0
0 2 1
2 1 2
0 2 0
1 1 2
2 2 1
0 0 1
0 2 2
2 0 2
0 0 0
10 7
2 1 2
0 2 1
2 0 0
0 1 2
1 1 2
0 0 2
2 2 1
1 0 0
2 1 0
2 1 1
10 7
2 3 0
3 1 1
3 2 3
1 3 0
3 0 0
3 1 2
0 2 2
2 3 1
3 3 0
1 2 2
10 6
3 2 0
2 1 3
1 1 1
0 0 1
0 3 3
0 3 0
2 2 2
0 0 2
2 1 1
0 1 1
10 8
2 2 3
2 1 0
0 3 1
3 1 3
0 2 0
2 0 0
3 0 1
1 3 2
1 1 3
0 1 1
10 3
2 1 2
2 2 1
2 0 1
0 0 0
2 1 1
1 1 2
1 2 2
2 0 2
2 0 0
2 2 2
10 9
0 1 2
1 2 1
1 0 2
0 2 0
1 0 0
0 1 1
0 0 0
2 1 1
1 2 0
1 1 2
10 8
2 2 0
1 0 2
1 2 2
1 1 2
0 0 1
1 1 0
0 0 0
2 0 2
1 0 0
0 1 0
10 6
3 3 1
2 1 3
1 3 2
1 0 3
2 1 1
3 0 1
3 0 0
1 0 2
2 3 1
1 1 0
10 4
3 3 2
1 0 3
3 1 3
3 0 3
1 1 3
2 0 3
2 2 0
0 0 2
3 0 2
2 3 1
10 5
1 2 0
1 1 3
2 2 1
2 1 0
0 0 2
0 1 3
3 3 2
1 1 0
1 2 1
1 0 3
10 4
2 0 1
1 1 0
0 1 0
0 2 1
0 1 2
0 0 2
2 1 1
1 2 0
2 0 2
1 2 1
10 2
0 2 1
3 0 2
0 3 0
2 2 1
3 3 3
1 0 1
3 2 3
3 2 2
2 3 3
3 2 1
10 8
2 0 2
1 1 0
1 2 2
0 1 1
2 1 2
0 2 0
0 1 2
2 2 0
0 2 2
1 0 1
10 3
1 1 0
0 1 0
2 1 2
1 1 2
2 0 1
0 0 0
2 2 1
0 2 1
0 1 1
2 1 1
10 8
1 1 1
1 2 0
0 1 0
1 2 2
1 1 0
0 0 1
2 1 0
2 0 2
1 0 0
0 0 0
10 5
2 0 1
0 2 0
0 1 2
1 0 2
1 1 0
1 0 0
0 0 2
2 0 0
0 1 0
0 2 1
10 2
1 2 1
0 1 2
1 0 2
1 1 0
0 0 0
1 2 0
1 2 2
0 2 2
1 0 0
0 1 0
10 2
2 0 0
2 2 1
1 0 0
1 1 0
1 2 1
1 1 2
1 1 1
0 1 2
0 2 2
1 2 0
10 8
2 1 2
0 1 1
1 0 1
2 2 0
2 1 0
0 0 2
2 0 0
1 1 0
1 0 0
0 0 1
10 8
1 0 1
1 1 1
0 0 1
2 2 0
0 1 2
2 1 0
0 0 2
0 2 2
0 1 1
0 2 0
10 9
0 2 2
1 0 0
2 2 0
1 1 1
0 0 0
1 0 2
1 2 0
2 0 0
1 1 2
1 1 0
10 2
2 3 2
0 3 0
3 3 2
3 3 3
2 2 0
2 2 1
1 3 1
3 2 3
3 0 3
1 3 0
10 4
1 1 0
0 1 3
0 0 3
2 1 2
1 2 2
3 0 1
2 3 3
3 1 1
0 2 0
3 2 2
10 2
0 1 1
2 0 1
0 3 0
0 2 1
0 2 3
0 0 0
0 2 0
3 0 1
0 2 2
3 2 3
10 5
1 2 1
0 0 0
2 0 0
1 0 1
1 2 0
2 0 2
1 1 1
0 1 0
2 1 0
1 0 2
10 3
1 1 1
0 0 2
1 1 2
0 1 1
1 0 0
2 0 1
2 0 0
2 1 2
1 2 2
0 1 2
10 3
1 2 0
2 1 0
1 2 1
1 1 0
2 2 2
2 0 2
0 0 2
2 1 1
0 1 1
1 1 2
10 9
0 1 0
1 0 1
0 0 2
0 2 0
0 2 2
0 0 1
1 1 1
1 1 2
2 1 1
2 2 0
10 5
3 2 2
3 3 0
2 2 0
2 3 2
0 2 0
1 1 3
0 3 3
3 2 3
2 0 0
2 1 3
10 9
3 1 0
3 1 3
1 0 1
0 3 0
2 3 3
2 0 2
2 3 2
3 0 1
1 1 2
0 2 3
10 8
3 2 2
3 1 2
1 3 3
0 3 2
3 1 3
2 1 3
0 1 0
0 2 0
0 2 1
1 0 0
10 9
1 3 1
3 0 2
1 0 0
0 1 0
3 1 0
0 2 3
3 2 1
0 0 0
0 3 3
0 3 2
10 3
0 1 1
0 3 0
1 1 0
1 2 2
3 1 2
2 0 1
0 2 2
3 2 1
3 2 0
0 2 3
10 8
1 0 0
2 0 0
1 0 2
1 1 1
1 2 1
0 1 0
2 0 2
0 1 1
2 1 0
2 1 2
10 7
3 2 3
2 2 1
1 0 1
3 1 2
2 2 3
0 1 3
0 1 0
0 0 1
0 2 0
1 3 1
10 6
0 0 0
1 1 1
2 1 2
0 0 2
1 0 2
1 2 2
2 2 1
1 0 1
1 2 0
2 2 2
10 4
2 2 2
2 0 2
1 1 0
1 2 2
1 2 0
2 2 0
0 0 1
1 2 1
1 1 1
2 1 0
10 2
2 2 1
0 1 1
1 1 2
0 1 3
0 2 1
3 1 0
0 2 0
1 1 3
2 1 1
1 3 0
10 3
3 1 3
1 1 3
1 3 2
0 1 3
1 2 3
2 0 0
1 3 3
1 1 1
1 0 1
0 3 0
10 5
0 1 3
0 1 0
3 2 3
3 0 1
3 0 3
1 1 2
1 2 0
1 2 3
2 0 1
0 2 1
10 2
0 3 0
1 0 0
0 2 3
1 0 1
1 2 3
1 3 3
3 0 1
2 2 2
3 0 3
0 0 1
10 9
1 0 1
0 3 1
0 3 2
1 2 3
2 1 0
1 1 2
3 0 3
2 3 3
1 3 1
3 1 2
10 4
1 0 2
1 2 2
0 0 0
0 0 1
2 1 0
0 2 0
1 1 0
0 1 0
1 0 0
0 2 2
10 2
0 1 2
0 2 0
2 0 1
1 0 0
2 1 1
0 0 2
0 0 0
1 2 2
0 2 1
2 0 0
10 3
0 0 1
2 2 2
1 1 0
2 0 0
1 0 0
2 1 0
1 2 0
1 2 2
2 1 1
0 1 0
10 5
1 0 2
1 1 0
0 1 1
2 2 0
1 2 1
0 1 2
2 1 0
1 1 1
1 0 0
2 0 1
10 4
1 3 0
1 3 2
3 3 1
3 2 3
1 1 1
3 3 2
2 0 0
0 1 2
0 0 3
2 2 3
10 7
1 2 2
3 2 1
2 2 3
3 3 2
0 2 3
1 2 3
3 3 3
2 3 1
2 1 2
1 2 0
10 6
0 3 3
3 0 1
3 0 3
1 3 2
0 0 3
3 2 2
1 0 3
1 2 0
0 2 1
0 1 0
10 5
1 2 1
3 0 1
2 1 3
3 0 0
2 3 3
0 3 1
1 0 1
0 0 2
3 2 3
3 1 1
10 5
2 3 2
1 0 0
2 1 3
1 2 1
3 0 3
2 1 1
3 2 1
1 1 1
1 0 1
3 1 2
10 7
0 1 2
2 0 0
2 2 0
1 1 1
2 1 2
2 0 2
0 2 0
0 1 1
0 1 0
0 0 1
10 6
0 2 3
0 3 1
3 2 0
1 3 3
3 3 3
1 0 1
1 2 1
2 0 1
3 1 0
0 0 3
10 8
1 0 2
2 1 0
2 1 1
0 0 2
1 0 1
1 1 2
0 0 1
2 0 2
2 2 2
0 1 2
10 8
3 2 3
0 3 0
3 0 1
1 1 1
1 0 1
2 1 0
1 3 0
0 2 1
1 0 3
3 1 2
10 4
1 3 2
3 2 3
1 1 1
1 2 2
2 3 2
0 1 0
3 1 2
2 2 2
0 1 3
3 0 0
10 2
1 0 3
3 2 1
0 1 3
3 1 1
1 0 0
2 0 0
0 3 0
0 0 1
0 0 2
2 3 1
10 5
0 1 1
1 0 1
0 0 0
2 1 0
2 3 2
0 1 2
3 3 1
2 0 2
3 2 0
3 1 1
10 9
3 2 1
2 3 1
3 3 2
3 0 3
1 0 2
0 0 3
0 3 1
0 0 2
1 3 3
2 1 1
10 3
1 0 1
2 2 0
1 1 1
1 1 0
2 1 2
2 1 0
2 2 1
0 1 0
0 0 1
1 2 0
10 8
1 3 3
1 0 0
2 0 3
0 1 3
2 2 2
0 1 1
3 2 1
1 2 1
2 0 2
0 1 0
10 2
2 0 0
1 1 2
0 1 0
0 1 2
0 0 0
1 0 0
2 2 2
0 1 1
1 2 1
2 2 1
10 7
0 0 1
1 2 1
2 1 1
2 2 1
0 0 0
0 1 0
1 2 2
1 0 0
0 2 0
2 2 0
10 3
2 0 1
1 1 1
1 1 2
1 2 2
2 1 1
2 1 0
0 2 0
0 0 1
2 2 1
0 1 0
10 3
1 0 0
0 0 2
0 0 1
0 2 0
0 2 2
1 0 2
2 1 1
1 2 1
1 2 2
0 1 2
10 8
0 1 2
1 1 0
1 2 0
0 0 0
2 1 0
0 0 1
1 0 1
0 2 1
2 2 2
2 2 1
10 4
1 1 0
3 3 3
2 0 2
1 3 2
1 0 3
1 2 1
1 3 0
2 0 3
1 2 2
1 0 0
10 2
2 0 0
2 2 2
1 0 0
2 1 1
0 2 2
0 1 1
0 2 1
1 0 1
1 1 2
2 1 2
10 9
2 2 2
1 0 0
2 0 0
1 2 0
0 1 2
1 0 2
1 2 2
2 0 2
1 0 1
2 1 0
10 2
2 1 2
2 3 1
1 1 2
0 2 1
3 2 2
1 1 3
3 2 0
0 1 3
2 0 3
1 0 2
10 3
1 0 1
3 0 3
3 1 2
1 2 1
1 2 2
2 2 1
0 0 1
2 3 3
3 1 0
2 2 3
10 7
2 1 2
0 2 1
2 0 0
0 0 0
0 0 1
2 0 2
2 0 1
0 0 2
2 2 2
2 2 1
10 4
1 3 3
2 3 0
3 0 2
0 0 3
0 1 1
2 3 3
2 1 0
3 2 3
2 0 1
2 2 3
10 9
2 1 0
1 1 0
2 0 0
0 0 0
1 2 1
1 1 2
0 1 2
0 0 2
1 1 1
1 0 1
10 7
3 2 2
2 3 0
2 3 1
1 0 0
0 2 1
0 3 0
2 0 3
1 1 1
0 3 2
0 0 3
10 3
2 1 0
1 2 1
2 2 1
2 2 2
2 1 2
0 2 0
1 2 0
2 1 1
0 0 2
0 0 0
10 7
1 0 1
2 0 1
3 2 2
2 2 3
0 2 0
3 2 3
3 3 2
0 1 2
3 2 0
0 1 1
10 7
1 2 0
1 1 2
1 2 1
2 0 0
0 1 0
2 2 1
0 2 2
2 1 2
1 0 2
0 2 0
10 7
2 1 2
1 0 1
2 2 2
2 2 1
0 2 0
1 0 2
0 1 1
2 1 1
0 1 0
1 1 1
10 5
3 0 3
0 3 3
1 3 0
3 3 2
1 3 2
2 2 2
0 1 2
1 0 0
0 2 1
2 0 0
10 2
3 0 2
0 2 3
1 1 3
1 0 1
1 3 3
1 0 3
1 2 2
0 3 1
2 0 0
1 0 0
10 7
1 0 1
1 1 0
1 0 2
2 0 2
0 1 1
0 2 2
2 2 0
1 2 0
0 0 1
1 2 1
10 4
2 0 0
2 1 1
0 1 0
2 2 0
0 1 1
0 2 1
1 0 2
0 0 1
2 2 2
1 2 2
10 2
2 2 1
0 0 2
2 1 1
0 2 0
1 0 0
2 1 0
0 1 1
2 0 2
1 1 2
1 0 2
10 4
1 2 2
2 2 0
2 1 0
1 0 0
0 0 1
1 0 2
2 0 2
1 2 0
0 2 2
1 1 2
10 9
1 2 0
2 0 0
1 1 2
0 3 1
2 2 2
0 2 0
3 0 0
1 0 2
0 0 0
3 1 1
10 8
1 1 1
1 0 2
2 0 2
0 1 1
1 0 0
0 0 2
2 0 1
1 2 0
0 2 1
2 1 1
10 7
0 2 1
3 2 3
1 0 2
0 0 2
0 3 0
1 2 2
1 1 0
0 1 2
2 0 3
3 0 2
10 5
3 2 2
3 0 3
1 2 1
0 1 3
2 1 0
1 3 0
2 1 3
1 0 2
3 0 0
0 2 1
10 3
3 3 2
1 1 3
3 1 1
2 2 3
3 3 0
2 2 0
3 1 3
2 0 1
3 0 1
0 1 2
10 6
0 0 2
0 1 1
1 0 1
2 0 1
0 2 1
0 2 2
2 1 1
1 1 0
1 1 1
0 2 0
10 3
1 0 0
1 1 2
0 1 1
1 0 1
1 2 2
0 2 2
2 2 0
1 1 0
2 2 1
1 2 0
10 8
3 0 0
2 3 0
0 3 2
2 3 2
2 0 1
0 3 0
2 1 1
0 1 1
3 3 0
1 1 2
10 7
3 0 1
1 0 1
2 1 1
1 0 0
1 0 3
1 0 2
0 3 2
1 1 0
1 3 3
0 0 1
10 6
0 2 0
0 3 2
3 1 3
0 2 1
1 0 0
2 2 0
1 2 3
0 1 2
3 1 0
2 3 0
10 3
3 2 1
2 2 3
0 3 2
3 3 3
3 1 2
3 0 0
3 2 2
3 3 2
1 0 0
0 0 3
10 9
1 1 1
0 1 1
0 2 1
2 3 1
1 3 1
3 0 0
2 2 3
2 3 0
1 2 3
0 1 0
10 5
2 2 2
2 1 2
0 0 0
1 2 1
1 1 1
0 2 2
0 0 1
1 0 0
2 2 1
1 1 0
10 9
2 0 2
3 3 1
0 2 2
3 3 0
2 3 0
3 0 1
1 3 2
3 2 3
2 2 2
1 3 1
10 6
0 3 3
0 0 0
3 2 2
1 3 1
1 0 1
2 2 0
2 1 2
1 2 2
1 1 1
3 1 3
10 8
2 1 1
0 1 0
2 0 0
2 0 1
0 0 1
1 0 1
2 2 0
2 1 0
0 0 2
0 2 1
10 8
1 1 0
2 1 2
0 2 2
2 1 0
1 2 2
1 1 2
2 1 1
0 0 2
2 0 1
0 0 1
10 9
2 1 2
1 1 3
1 0 1
1 3 3
3 3 1
1 1 2
0 0 1
2 3 2
2 2 3
3 1 3
10 9
2 3 2
3 0 0
2 3 3
2 2 1
1 1 2
0 0 0
1 2 3
3 2 1
1 2 1
2 3 0
10 3
2 1 2
1 0 2
1 0 0
1 3 3
1 3 1
2 0 2
3 2 3
3 1 2
2 2 0
1 1 0
10 6
0 1 1
1 3 3
1 3 2
2 2 1
0 3 3
3 0 0
2 3 3
0 1 2
1 1 3
3 3 1
10 2
1 1 0
0 0 0
2 1 2
1 0 2
0 0 2
0 2 0
2 1 0
2 0 1
2 2 1
2 0 2
10 4
1 3 1
1 0 2
1 1 0
1 1 2
0 0 3
2 1 3
3 0 2
2 2 1
3 2 2
2 3 1
10 4
2 0 0
0 2 3
2 1 3
3 0 0
3 1 3
3 3 2
0 2 2
1 0 0
2 3 2
3 2 1
10 9
2 1 2
2 2 0
0 2 1
0 1 0
0 0 0
0 1 1
1 2 2
1 1 1
1 2 0
1 0 1
10 9
1 0 0
3 1 0
0 0 0
2 1 3
0 2 1
3 0 3
1 1 2
3 0 1
1 2 2
2 1 2
10 6
1 3 3
0 1 1
0 3 2
2 0 2
2 3 2
3 0 0
3 1 1
1 1 0
1 2 3
3 2 3
10 5
2 1 0
0 0 1
0 2 1
2 2 1
1 1 1
0 0 2
0 1 0
2 0 1
2 2 0
2 1 1
10 2
0 0 0
3 1 2
1 0 3
3 1 1
0 2 3
1 1 3
0 2 1
1 3 0
2 3 2
2 0 1
10 8
1 0 2
1 1 2
0 3 0
2 2 0
3 3 2
3 3 1
0 0 1
3 1 3
0 2 3
0 1 1
10 2
0 0 0
0 1 0
2 1 0
1 0 1
1 0 0
0 2 2
1 1 1
1 2 1
1 2 2
1 0 2
10 5
1 2 1
2 0 0
0 0 0
1 2 2
1 0 0
0 0 1
0 2 2
1 1 0
2 0 2
0 0 2
10 2
3 1 3
3 2 2
1 1 3
1 0 2
3 0 1
2 3 1
1 3 0
0 2 2
2 2 1
3 2 0
10 5
0 1 0
0 0 3
0 3 3
2 0 3
1 1 1
0 0 2
3 3 0
1 3 0
3 0 0
0 2 2
10 6
0 3 2
0 0 1
0 1 0
3 2 2
1 2 0
3 1 2
0 2 3
1 2 2
1 1 3
2 3 2
10 8
0 2 0
0 1 0
0 0 1
2 2 1
2 1 0
2 2 2
0 2 1
1 1 0
1 2 0
1 0 0
10 2
1 2 1
2 0 0
3 0 3
3 0 0
3 3 2
1 1 0
2 0 3
0 3 1
3 2 2
3 2 0
10 9
1 2 1
0 0 2
1 0 2
2 1 0
2 2 2
2 2 1
2 0 0
1 0 0
0 0 1
1 2 0
10 4
1 1 0
0 2 2
0 1 0
1 2 2
0 2 1
2 2 1
0 1 1
0 1 2
1 0 2
2 0 1
10 8
1 0 0
0 0 1
0 3 3
3 1 1
3 2 0
0 1 2
0 1 1
1 2 0
0 3 2
3 2 1
10 7
2 0 1
0 1 0
2 2 0
0 1 2
0 0 1
1 0 0
2 1 0
1 0 1
2 1 1
0 2 0
10 6
1 2 1
2 2 1
2 2 0
0 3 0
0 1 2
1 3 2
1 3 0
1 0 2
0 2 3
2 1 2
10 4
1 2 1
1 1 2
0 0 2
2 1 2
1 0 2
2 0 2
1 2 0
1 2 2
0 1 2
1 0 1
10 9
0 1 2
0 1 1
1 2 0
1 1 1
2 2 1
1 2 1
0 0 2
2 0 0
0 0 0
1 1 2
10 7
2 0 2
1 0 0
1 2 0
0 1 2
0 0 2
1 1 1
1 1 0
1 0 2
1 0 1
2 1 1
10 4
1 3 3
3 1 1
0 0 1
0 2 3
1 0 0
2 2 0
3 2 3
3 1 0
0 3 3
0 1 1
10 7
3 3 1
2 2 0
2 3 1
1 2 3
1 1 1
3 3 2
1 2 0
2 0 0
1 3 3
1 2 1
10 2
2 0 1
0 1 0
0 0 0
1 1 2
1 0 0
1 2 1
2 2 0
0 1 1
2 1 2
1 2 2
10 8
1 1 1
0 0 2
2 1 3
3 1 3
2 0 1
1 0 3
1 0 1
3 0 3
2 2 1
3 1 2
10 8
2 0 0
0 2 1
2 2 2
1 0 2
2 2 1
2 0 2
2 0 1
0 1 1
0 0 1
2 2 0
10 3
0 1 0
1 0 1
2 0 2
1 2 0
1 2 2
0 2 2
0 2 1
0 0 2
0 2 0
2 0 0
10 8
0 2 0
0 1 2
0 0 2
0 2 1
0 1 0
1 0 0
2 1 2
2 2 2
0 1 1
1 2 2
10 9
2 2 3
3 0 0
2 0 2
3 3 1
1 0 3
0 2 1
3 0 2
1 3 1
0 0 1
2 3 2
10 8
2 1 0
0 1 1
2 0 0
1 0 2
0 2 1
0 0 2
1 2 1
1 2 2
0 2 0
0 0 0
10 3
1 1 2
2 2 1
0 2 0
1 2 1
0 0 1
1 0 0
1 1 0
2 0 1
1 2 0
0 0 0
10 3
1 0 2
3 2 2
0 0 3
0 1 0
0 0 2
3 0 0
3 3 3
1 0 1
1 2 2
2 1 2
10 3
3 0 1
0 1 3
0 2 3
3 2 3
1 0 0
3 2 0
0 2 1
1 3 0
1 0 1
1 0 3
10 9
0 0 2
2 2 1
1 2 1
2 2 0
1 0 0
1 0 2
0 0 0
1 0 1
2 0 2
1 2 2
10 3
2 0 0
1 1 3
2 1 2
1 3 3
0 0 1
1 0 1
1 2 3
1 2 1
0 3 1
3 3 1
10 9
2 0 1
2 1 1
2 2 1
1 3 0
1 0 2
0 3 2
1 1 1
3 2 0
3 3 0
0 0 3
10 5
0 1 1
2 2 2
0 0 1
2 1 0
2 1 1
1 0 1
1 2 2
0 2 0
2 0 1
1 1 0
10 6
3 2 3
1 1 3
3 2 0
2 0 3
3 2 2
0 0 0
0 1 0
1 2 2
0 0 1
0 3 2
10 4
1 2 1
2 0 1
1 2 0
1 0 1
1 2 2
2 0 2
0 0 2
2 2 2
2 1 1
0 2 1
10 9
0 1 2
1 0 2
0 2 0
2 2 0
1 1 1
0 1 0
2 1 1
0 1 1
1 2 0
1 2 1
10 7
1 2 2
2 0 2
2 0 1
0 2 2
0 1 2
2 2 0
2 2 2
1 1 2
0 1 1
1 0 1
10 3
2 0 3
1 0 1
0 3 2
2 2 3
1 0 2
1 2 0
3 0 3
1 1 1
2 2 2
3 2 3
10 2
1 0 0
0 1 3
3 2 0
0 3 0
0 1 0
1 3 1
3 1 0
2 0 0
3 3 0
3 0 3
10 2
1 0 2
2 2 1
0 2 2
2 2 2
1 1 1
2 1 0
1 2 0
0 2 1
1 2 2
1 0 1
10 8
2 3 3
0 3 0
0 2 0
3 0 2
3 2 3
1 3 3
3 1 2
2 2 2
0 0 1
2 2 0
10 5
1 3 1
2 1 0
1 0 1
0 1 1
3 2 3
1 1 1
0 0 0
3 3 2
1 2 3
0 2 1
10 3
0 3 2
3 1 0
3 2 1
2 0 1
1 1 0
0 3 3
1 2 1
3 2 0
3 0 3
2 0 3
10 5
0 0 1
1 1 2
1 2 0
0 0 2
0 2 1
2 2 0
2 0 0
2 0 1
1 0 1
2 0 2
10 2
0 1 0
2 3 2
0 3 0
2 3 3
2 2 3
3 1 3
3 3 1
0 3 1
1 2 1
0 2 0
10 2
1 2 0
2 1 0
1 0 0
0 2 1
0 1 1
1 2 2
2 2 0
0 1 0
0 2 2
2 0 1
10 5
1 1 2
2 2 2
2 0 1
1 0 0
2 0 2
0 0 2
1 2 2
0 1 0
2 0 0
2 2 1
10 6
1 2 2
2 1 0
1 2 1
2 1 2
1 0 0
0 1 0
0 1 2
0 2 0
1 1 0
0 0 2
10 4
3 0 2
2 3 1
2 2 0
1 3 0
0 0 2
1 2 0
0 0 0
1 1 2
3 3 0
0 1 2
10 6
0 0 2
1 0 1
2 0 1
0 0 0
2 2 0
1 2 2
2 0 2
1 1 2
0 2 1
0 1 0
10 5
2 0 0
1 1 1
1 1 0
1 0 2
0 0 1
1 0 1
0 2 0
0 1 1
2 0 2
1 2 2
10 9
0 2 2
2 1 0
1 0 1
2 2 0
2 1 2
1 0 0
0 1 0
2 2 2
1 2 1
1 2 2
10 2
1 2 1
1 2 0
1 0 1
2 1 2
0 2 2
1 1 2
0 0 2
0 1 1
1 0 0
1 1 0
10 2
0 0 1
2 1 1
2 2 0
0 0 0
1 1 0
2 0 0
0 2 2
1 0 1
1 2 1
2 2 2
10 2
0 0 0
0 1 2
0 2 1
1 0 1
0 2 2
2 0 2
1 2 0
0 0 1
2 1 0
1 1 1
10 6
2 1 2
2 1 0
0 1 0
2 2 1
1 2 0
1 3 0
3 3 0
3 2 2
0 0 3
1 0 3
10 4
2 2 1
2 0 2
0 1 0
1 2 0
0 2 0
0 0 2
2 1 1
2 2 2
0 1 1
1 0 2
10 3
2 3 2
0 1 3
1 1 0
0 0 1
2 1 1
1 2 2
3 1 0
3 1 3
0 1 1
0 3 2
10 7
1 1 3
0 1 2
1 0 2
1 3 0
1 0 3
0 3 0
1 0 0
0 2 0
3 1 1
0 0 3
10 7
3 1 0
1 2 2
2 0 3
0 3 1
0 2 0
0 3 3
3 1 2
1 3 2
2 1 1
0 0 0
10 5
3 1 1
3 1 0
0 0 1
1 2 0
3 2 3
0 0 2
2 2 0
3 3 2
1 3 3
0 3 1
10 3
2 2 0
1 2 1
2 2 2
0 1 1
2 0 1
1 0 1
1 0 2
2 1 1
0 2 0
0 0 0
10 2
1 1 1
1 0 2
2 2 1
1 1 2
0 1 1
2 1 1
0 2 1
1 0 1
0 0 0
2 0 1
10 2
1 2 0
2 0 2
2 0 1
2 1 2
0 0 0
2 1 1
2 2 1
1 0 0
1 1 2
0 0 2
10 5
0 3 0
2 0 3
3 1 0
0 0 0
2 1 3
0 2 2
3 1 2
3 3 1
2 3 3
1 0 0
10 2
0 2 2
1 0 2
1 2 0
0 0 0
0 0 2
2 2 0
0 1 0
1 2 2
1 1 1
1 1 0
10 2
1 1 2
1 0 0
2 0 0
1 0 2
0 1 1
2 0 1
2 1 1
2 2 0
2 2 1
2 1 0
10 5
0 0 2
2 2 0
2 0 2
1 2 2
0 1 0
2 1 0
0 2 2
1 2 0
0 1 2
2 2 2
10 9
1 2 2
1 2 0
1 0 0
0 1 2
0 2 0
1 1 0
1 1 2
2 0 2
2 1 1
2 2 0
10 3
0 1 0
2 1 0
0 2 2
2 1 1
0 1 1
1 1 1
1 1 2
2 0 1
0 0 0
2 0 0
10 9
1 2 2
2 2 1
1 2 0
2 1 1
1 1 2
0 0 0
1 0 1
1 1 1
1 2 1
1 0 0
10 2
0 0 0
0 1 2
2 0 0
2 0 1
0 2 0
1 1 2
0 1 1
0 0 2
1 2 1
1 1 0
10 7
2 0 1
0 0 3
0 1 1
3 2 2
0 2 2
0 3 1
3 3 1
2 0 0
2 1 1
1 2 0
10 7
3 2 0
1 1 2
0 0 2
1 1 0
3 2 2
3 3 1
2 2 0
0 2 3
2 2 3
0 3 0
10 3
0 0 2
3 2 0
0 3 2
3 0 3
2 2 3
0 3 3
3 1 3
1 0 1
0 1 1
1 1 2
10 5
0 1 0
1 0 2
1 1 0
1 2 2
2 0 1
0 0 1
0 1 1
0 2 1
0 2 0
2 2 0
10 8
0 1 0
1 0 1
0 2 2
0 0 1
2 1 1
2 1 2
0 2 1
0 1 2
2 1 0
2 2 0
10 6
1 0 1
2 2 2
1 0 2
2 0 0
1 1 2
0 1 0
1 1 0
2 2 0
2 0 1
0 1 2
10 8
2 2 2
1 1 2
2 0 1
3 1 2
1 0 1
0 1 0
0 3 0
0 2 2
0 3 2
2 0 2
10 4
0 3 3
0 2 0
3 0 0
3 3 3
1 0 1
3 0 3
0 1 3
2 0 0
2 0 2
3 2 3
10 9
1 0 1
2 2 0
2 2 1
0 1 2
0 2 2
2 0 0
1 0 2
2 1 2
1 2 0
0 2 0
10 6
3 0 2
0 0 1
3 2 2
2 3 0
2 3 1
2 2 1
3 3 1
0 2 3
3 3 2
3 0 0
10 3
1 2 1
0 0 1
0 1 0
2 1 1
1 0 0
0 1 2
1 1 2
2 2 1
0 1 1
0 2 1
10 9
0 0 2
2 0 1
0 2 1
2 2 0
0 0 0
2 0 0
2 1 2
1 0 1
1 2 0
2 1 0
10 9
0 1 1
2 1 0
2 3 1
2 3 0
1 1 0
1 2 0
0 3 3
3 2 3
1 2 2
1 0 3
10 8
2 2 2
1 2 0
1 1 2
2 0 1
0 1 0
0 0 2
2 0 2
2 2 1
2 0 0
1 0 0
10 6
2 0 2
0 0 1
1 1 2
1 0 2
1 0 0
1 2 1
2 0 1
1 2 2
1 1 0
0 1 2
10 2
3 0 0
3 0 2
2 3 2
1 2 0
0 1 2
0 0 1
0 1 1
0 2 1
2 0 2
2 1 0
10 6
2 2 2
0 0 2
0 0 0
2 1 1
1 2 0
0 1 2
1 0 1
0 2 1
2 0 2
2 1 0
10 3
2 2 1
2 0 2
1 0 2
1 2 1
0 1 0
1 1 0
1 1 1
0 0 0
0 1 1
1 1 2
10 7
1 2 1
2 1 1
1 2 2
2 1 2
1 0 2
2 2 1
2 2 2
2 0 0
0 2 1
0 0 2
10 6
1 2 0
1 1 0
2 1 0
0 0 1
0 0 2
0 2 0
1 0 2
1 0 1
0 2 2
1 0 0
10 8
0 0 2
0 0 0
1 2 2
1 0 1
2 1 0
2 1 1
0 2 0
0 1 1
1 0 0
2 2 0
10 6
1 1 0
2 0 2
2 2 0
0 2 1
0 1 1
2 1 0
2 2 1
0 2 2
2 1 1
0 0 2
10 8
2 0 0
3 0 3
0 0 0
1 1 3
0 2 0
1 2 3
3 3 3
2 1 0
2 0 1
1 3 2
10 3
1 2 2
0 1 1
1 2 0
2 1 2
0 0 2
1 1 1
1 1 2
2 2 1
2 1 0
2 2 0
10 3
1 2 3
1 2 2
3 2 1
0 2 3
0 0 2
2 3 0
0 3 0
1 0 1
1 2 1
1 0 3
10 7
1 0 0
2 3 3
1 0 2
1 3 3
1 1 1
3 2 3
2 3 1
3 0 2
2 0 1
2 3 0
10 6
0 0 2
2 2 0
0 2 2
1 0 1
0 0 0
2 2 1
0 2 0
0 1 1
1 1 0
2 0 2
10 8
2 1 2
0 1 2
0 0 0
1 1 2
1 0 1
0 2 1
0 2 0
1 0 2
0 1 0
2 1 1
10 5
3 0 0
1 1 2
0 2 1
1 0 2
3 1 2
2 0 0
0 0 3
2 0 2
1 2 2
2 2 3
10 2
0 1 0
2 1 0
2 1 1
2 0 0
0 2 0
0 2 2
2 1 2
0 1 1
1 0 0
2 0 1
10 6
2 1 1
2 2 1
2 0 2
3 3 0
1 1 2
3 2 2
1 0 2
1 2 0
3 1 3
0 1 2
10 3
0 2 0
1 2 2
1 0 1
2 1 2
0 0 0
1 2 0
1 0 0
2 2 1
0 1 2
2 1 0
10 5
3 2 1
1 0 0
1 1 3
1 3 3
3 1 0
2 2 2
3 0 0
0 3 3
3 2 3
3 0 1
10 4
1 0 1
1 2 1
1 2 0
2 1 1
0 2 1
1 0 2
0 0 0
1 1 0
2 0 0
0 1 0
10 5
0 1 1
2 3 0
1 3 1
2 1 0
3 3 3
0 3 2
0 0 3
3 0 1
2 2 1
3 1 0
10 9
2 0 3
2 2 1
3 3 1
1 3 3
2 3 1
1 1 0
1 0 3
2 2 2
2 2 0
1 3 2
10 8
2 0 0
2 2 0
1 2 1
0 0 2
0 0 0
1 2 2
0 1 2
0 2 1
0 0 1
1 0 2
10 3
1 1 0
2 0 1
3 2 3
2 3 3
2 0 3
0 2 1
2 2 1
0 3 1
3 1 1
2 1 1
10 3
3 3 0
3 3 3
1 2 2
1 2 0
1 1 0
1 0 3
1 3 1
2 1 0
3 1 3
1 2 3
10 7
3 3 0
3 3 2
2 0 2
3 2 0
0 1 1
2 2 1
0 0 1
1 1 0
3 0 1
1 2 0
10 4
1 2 0
0 0 2
1 1 0
2 1 1
0 0 1
2 0 2
0 0 0
0 1 0
1 0 2
1 2 1
10 9
1 0 1
2 2 2
0 0 2
2 2 0
0 0 0
0 2 2
1 0 2
2 2 1
1 2 0
2 0 1
10 5
2 2 2
0 1 0
0 0 2
0 0 1
1 2 0
0 1 1
1 2 2
2 0 1
1 1 0
2 1 1
10 7
2 1 2
1 0 3
0 3 1
0 2 2
3 1 2
3 0 1
2 2 1
0 2 0
2 1 0
2 2 3
10 3
2 1 3
3 2 2
2 3 3
3 1 3
3 3 3
0 1 2
0 3 0
0 0 2
2 2 0
1 3 1
10 2
1 1 0
0 1 1
0 2 0
0 2 1
2 2 0
1 1 2
0 1 0
2 2 2
0 0 1
1 2 2
10 9
0 2 1
0 1 1
2 0 1
1 0 2
1 0 0
0 1 2
2 2 2
0 2 2
1 1 2
1 2 2
10 5
2 3 3
1 3 2
3 1 1
0 3 3
0 2 3
3 3 1
2 2 0
1 1 1
1 0 3
0 2 2
10 2
0 2 2
0 1 2
0 2 1
1 1 1
1 1 0
1 0 2
1 0 1
2 2 2
0 0 1
2 1 1
10 6
1 2 1
3 1 0
0 2 1
0 0 3
2 0 1
0 2 2
2 3 2
3 1 1
0 3 3
1 1 1
10 8
1 2 2
0 2 0
0 2 3
3 1 1
1 0 3
3 3 3
1 1 1
3 2 1
0 0 2
3 0 2
10 5
1 2 2
2 1 0
0 0 1
2 2 1
2 1 2
0 2 2
2 0 0
0 2 1
2 2 2
0 1 1
10 9
2 0 1
2 0 0
2 3 0
2 2 1
3 2 2
3 3 2
2 1 1
2 1 3
2 2 3
3 3 0
10 9
2 2 0
1 1 0
1 2 2
0 1 0
1 3 2
2 1 3
1 0 1
2 1 0
3 0 3
3 0 0
10 9
1 1 1
2 2 1
2 1 0
1 0 2
2 1 1
1 0 0
2 0 1
2 0 0
1 2 0
0 1 2
10 6
3 0 3
3 1 2
0 2 0
1 2 2
0 0 2
3 0 2
3 0 0
3 2 1
2 1 3
0 2 1
10 6
2 1 0
1 1 0
3 1 1
0 3 0
3 2 0
0 1 2
2 3 0
1 3 3
0 3 3
0 0 2
10 4
2 1 2
0 2 1
2 2 0
0 1 1
2 1 1
1 0 1
2 2 2
2 0 1
0 0 2
0 0 1
10 4
1 0 1
0 1 1
2 2 1
2 0 1
1 1 0
0 1 2
0 0 2
1 0 0
2 0 0
0 2 1
10 8
2 2 2
2 2 1
1 1 1
2 0 2
1 1 0
2 1 2
0 2 1
1 0 1
1 2 1
0 0 0
10 9
2 2 1
1 2 2
3 2 3
0 3 2
1 2 3
2 0 0
3 0 0
3 0 1
1 1 0
0 1 0
10 4
1 2 1
2 2 1
3 1 3
0 3 3
3 2 2
3 0 0
0 2 3
2 3 1
2 1 3
2 1 2
10 3
0 1 1
0 2 1
1 0 1
1 1 0
0 1 0
0 1 2
0 2 2
1 0 0
2 1 0
1 0 2
10 6
3 2 1
1 2 3
2 2 2
1 1 3
1 3 1
2 0 3
2 1 3
1 2 2
1 2 0
3 0 2
10 5
1 1 0
3 2 2
1 2 3
0 1 3
0 0 0
2 2 3
2 3 2
0 3 3
2 2 1
2 1 3
10 9
0 0 3
1 3 3
3 2 1
2 3 3
3 3 2
1 2 1
3 0 0
2 3 0
0 3 3
2 0 1
10 8
2 2 0
1 1 1
1 0 0
2 2 2
1 1 2
1 0 1
0 2 0
0 1 0
1 2 0
2 2 1
10 8
2 3 3
1 2 3
1 3 1
3 1 2
0 1 2
3 0 2
3 2 0
3 3 2
1 1 0
2 1 3
10 8
2 1 2
0 2 2
0 1 1
1 2 1
1 2 2
2 0 2
2 1 0
0 2 0
0 1 2
0 1 0
10 8
0 2 1
0 2 2
1 2 2
2 1 1
2 0 0
2 1 0
1 0 1
0 2 0
2 2 2
1 0 0
10 9
1 1 0
0 0 1
2 0 1
2 2 2
2 0 2
1 0 0
1 1 1
2 0 0
0 1 0
1 2 2
10 3
0 1 0
1 2 1
2 1 1
0 2 1
1 2 0
0 0 2
0 1 1
1 2 2
1 0 2
0 1 2
10 8
1 0 0
2 0 1
1 3 2
1 1 0
2 1 0
0 0 2
2 0 0
2 2 2
3 0 0
3 0 3
10 8
1 3 1
3 3 0
2 0 1
0 3 0
3 2 2
3 1 0
2 1 0
1 3 3
2 3 1
0 3 3
10 8
2 0 0
1 1 0
0 1 0
0 1 2
2 0 2
1 1 1
1 0 2
1 2 0
0 0 0
0 2 2
10 9
3 2 0
3 1 1
3 1 3
0 2 2
1 2 1
1 2 2
3 0 0
0 2 1
2 3 1
0 3 1
10 5
1 1 0
2 1 1
2 2 2
2 1 0
2 2 0
0 0 1
2 0 2
2 0 1
1 0 1
2 1 2
10 3
2 2 1
2 0 0
2 1 2
1 0 2
2 1 0
2 2 0
0 1 0
1 0 1
0 0 1
0 0 0
10 2
2 2 2
1 2 0
0 1 1
1 1 2
0 0 2
0 1 0
2 0 0
0 0 1
1 0 1
2 1 0
10 6
1 0 1
2 1 1
2 0 1
1 1 1
2 1 0
2 0 0
1 2 1
0 1 2
2 2 0
1 0 2
10 8
2 1 3
2 2 2
2 3 0
2 3 3
1 2 1
3 2 0
2 2 3
3 0 0
1 1 1
1 3 1
10 7
0 2 1
0 1 2
0 1 1
1 0 2
2 2 1
1 0 1
0 2 0
2 2 0
2 1 0
1 2 1
10 6
2 1 2
0 2 1
1 0 1
2 2 2
1 1 1
2 0 0
1 2 2
1 2 1
1 1 0
0 0 1
10 7
1 1 2
0 1 1
2 2 0
1 1 0
2 1 1
1 2 2
0 0 2
0 1 2
2 1 0
1 0 1
10 3
0 2 2
2 1 2
0 1 0
1 1 2
2 0 0
2 2 0
2 2 2
2 0 2
1 1 1
0 0 0
10 5
0 0 1
1 2 0
1 0 2
2 0 1
0 0 0
2 0 2
1 1 2
0 1 0
0 1 2
1 1 1
10 6
1 2 1
0 0 0
2 2 1
2 2 2
2 0 1
2 1 1
2 0 2
1 0 1
2 0 0
1 1 2
10 2
1 2 0
1 1 1
1 0 1
2 0 1
1 1 0
0 0 1
0 0 2
1 2 2
1 0 0
0 2 2
10 6
0 0 0
0 1 3
3 0 0
3 2 2
0 3 1
2 1 2
2 1 1
1 1 0
1 0 2
0 2 3
10 8
0 2 0
2 2 1
0 0 2
3 1 0
3 3 1
1 1 1
3 3 2
1 1 2
2 2 2
3 3 0
10 6
1 0 3
2 1 0
0 1 2
0 0 0
1 2 0
1 3 2
2 2 0
2 1 1
0 2 0
3 3 1
10 9
0 1 0
2 0 2
2 0 0
1 1 1
0 1 1
1 1 0
0 0 0
1 0 0
2 1 1
1 2 1
10 6
1 1 0
2 1 1
0 1 0
0 2 2
1 1 2
2 0 1
1 0 0
0 0 0
0 0 1
2 0 2
10 4
1 1 1
2 0 1
2 2 1
1 0 0
1 2 1
0 2 0
2 2 0
0 1 1
0 1 2
2 1 0
10 7
1 1 2
2 0 1
0 0 2
2 2 1
1 2 2
0 2 2
1 1 0
1 2 1
0 1 1
2 0 0
10 6
1 1 0
0 2 1
1 2 0
0 2 2
0 3 3
3 1 0
2 2 0
3 3 3
1 0 1
1 3 0
10 7
1 1 1
0 3 1
2 0 2
3 0 3
1 0 1
0 1 2
3 3 2
1 3 3
2 2 1
3 3 3
10 9
2 2 2
2 3 3
2 3 1
0 0 3
0 3 3
2 1 0
2 1 3
0 0 1
3 0 2
2 0 3
10 5
2 2 3
2 1 2
0 3 1
2 3 1
2 0 0
1 0 1
1 1 1
1 0 2
0 2 0
3 2 1
10 3
2 1 1
0 0 1
0 0 2
1 2 1
1 0 2
0 0 0
2 0 1
2 2 2
0 1 0
1 1 1
10 3
2 0 0
2 1 0
1 2 1
1 1 1
0 0 1
2 2 2
0 2 2
2 2 0
0 2 1
1 1 2
10 5
2 1 0
0 3 2
2 2 0
2 1 2
1 1 0
3 1 1
1 3 3
1 0 2
0 2 1
2 0 0
10 8
1 1 0
2 0 1
2 2 2
0 1 0
0 2 1
1 2 1
2 2 1
1 0 2
1 1 2
0 2 2
10 8
2 1 0
0 1 2
1 0 2
2 2 0
0 1 1
2 0 0
2 0 1
2 1 1
2 0 2
1 1 2
10 2
3 3 3
0 2 1
3 3 1
0 0 2
1 3 3
1 1 2
0 3 1
1 2 2
1 0 3
2 0 2
10 7
2 1 2
0 1 0
2 0 2
0 0 1
0 2 2
2 2 1
2 1 0
1 0 2
1 0 0
2 2 0
10 4
3 2 3
3 1 2
3 0 2
3 2 1
1 1 2
2 0 3
1 2 3
2 3 1
3 0 1
2 1 3
10 3
2 2 2
1 1 1
2 1 0
0 2 2
2 1 1
1 2 1
2 0 0
1 0 1
1 0 0
1 2 0
10 3
1 2 1
1 0 2
1 1 0
0 2 1
0 2 0
2 0 0
2 0 2
0 1 2
2 1 1
1 1 2
10 7
1 3 2
1 1 0
0 3 0
1 0 3
2 1 2
1 1 2
1 2 0
0 0 2
2 0 3
3 3 2
10 7
1 0 0
1 2 1
0 2 1
2 1 0
1 2 0
2 1 1
1 0 2
2 2 0
2 0 2
0 1 1
10 6
0 0 0
1 1 0
2 0 0
1 2 1
2 0 1
1 2 2
2 1 0
1 2 0
1 1 1
0 1 1
10 3
1 1 0
2 0 0
1 2 2
2 0 2
0 2 0
0 1 1
2 1 0
2 2 0
1 1 1
2 1 2
10 8
0 1 2
2 0 0
1 2 0
2 2 0
1 1 2
1 1 0
0 2 0
2 2 1
2 0 2
0 0 2
10 9
3 2 0
3 3 3
0 1 2
2 0 0
3 3 0
2 1 3
3 1 2
0 3 0
1 1 0
0 1 1
10 8
0 1 1
2 2 0
1 2 0
1 0 2
2 2 1
1 2 2
1 2 1
0 0 2
2 1 1
0 1 0
10 9
1 2 1
0 1 1
1 2 0
1 0 1
2 0 2
0 1 2
1 0 2
0 2 0
2 2 1
0 0 1
10 3
0 0 0
1 0 0
2 0 1
0 0 1
2 2 0
1 0 1
0 0 2
1 2 2
0 1 1
2 0 0
10 4
0 2 2
2 2 1
1 2 0
0 1 0
0 0 2
2 0 1
1 0 0
1 1 2
2 2 0
0 0 1
10 9
1 0 1
2 1 1
1 1 0
1 0 0
1 0 2
0 1 0
2 0 2
0 1 2
2 2 1
0 0 2
10 5
2 1 1
3 3 0
0 3 3
1 1 3
0 2 3
1 1 1
3 3 3
0 1 1
2 2 0
1 3 2
10 6
1 1 1
0 2 0
0 0 2
3 3 1
1 1 3
0 1 3
0 2 3
1 0 0
1 1 2
0 0 3
10 3
1 2 0
0 3 1
3 1 0
1 0 1
0 0 3
0 3 0
0 2 3
2 1 0
0 0 2
0 1 1
10 8
2 2 0
2 1 0
0 2 0
3 2 2
0 1 2
2 3 2
3 2 1
3 0 1
2 0 3
0 3 3
10 8
1 2 1
1 2 0
0 0 0
1 1 0
2 0 0
0 1 0
0 2 0
0 1 1
1 0 2
2 2 2
10 8
1 0 1
1 2 1
0 0 2
0 1 1
0 1 0
1 1 0
2 2 1
2 0 1
0 0 0
1 0 2
10 3
2 3 0
2 3 1
3 3 1
1 0 0
1 2 3
2 1 0
1 3 3
3 2 1
0 3 2
3 1 3
10 2
0 2 2
3 0 2
3 1 3
3 1 1
0 0 3
3 2 0
1 3 3
1 1 0
0 3 3
0 1 2
10 9
1 2 2
1 1 0
2 3 3
1 2 3
3 0 2
1 3 0
3 3 1
2 0 3
0 0 0
0 0 1
10 2
0 3 1
3 3 0
2 1 2
2 0 1
1 0 2
1 2 2
1 3 3
3 2 3
3 3 2
1 2 0
10 2
1 2 2
1 3 2
0 3 1
1 2 1
2 3 1
0 3 2
0 3 0
3 3 2
1 3 0
1 1 1
10 9
2 2 3
0 1 1
0 0 0
1 0 1
2 0 1
3 0 0
2 1 1
1 3 0
1 1 1
1 3 2
10 9
0 1 1
0 0 0
0 1 0
0 2 0
2 1 1
0 2 2
1 0 2
2 0 0
0 0 2
1 1 0
10 8
2 1 2
1 1 1
2 2 2
2 1 1
0 2 2
1 0 0
1 2 2
2 0 0
1 0 1
1 0 2
10 8
2 1 0
0 2 2
2 2 1
0 0 0
2 2 0
0 0 2
1 1 2
0 1 2
0 2 0
0 1 1
10 5
1 2 1
2 0 0
2 1 0
1 1 1
2 0 1
1 0 1
1 2 0
2 1 2
1 1 2
0 1 2
10 2
0 0 0
2 0 0
2 2 1
0 2 1
2 0 2
1 2 0
2 0 1
0 0 1
2 1 0
2 1 1
10 8
0 3 3
3 0 0
3 3 1
3 3 3
2 3 0
3 2 3
3 2 0
1 2 3
1 3 0
1 1 2
10 4
3 1 0
2 2 1
0 2 3
3 2 3
1 0 1
1 2 3
0 0 3
3 3 2
0 0 1
1 2 2
10 2
1 3 0
0 2 2
2 0 1
0 0 3
2 1 1
2 1 3
1 1 0
1 0 1
1 3 2
2 3 0
10 4
0 1 0
0 2 3
0 0 1
2 2 2
3 0 0
1 0 1
2 0 2
1 1 0
1 2 2
2 3 2
10 3
1 3 1
1 0 0
1 2 0
2 1 0
2 3 2
2 1 1
3 2 0
1 3 3
1 2 1
3 3 3
10 2
0 2 3
0 0 2
0 2 2
3 1 1
3 0 1
1 1 0
2 2 2
2 3 3
3 2 2
2 3 1
10 7
2 2 0
1 0 2
2 1 1
0 2 0
2 2 2
1 2 2
1 0 0
0 2 1
0 0 0
0 0 1
10 8
1 0 2
1 1 2
1 2 2
2 0 1
1 1 1
1 0 0
1 0 1
2 1 1
0 2 0
0 2 2
10 8
0 2 2
1 2 0
0 0 0
2 0 2
2 0 1
0 2 1
1 1 0
2 1 2
2 2 1
2 2 2
10 3
0 2 1
3 0 0
3 0 2
3 3 1
3 1 1
0 1 2
1 3 2
0 1 0
0 0 3
3 1 0
10 9
1 1 2
2 0 2
1 1 1
0 2 0
0 0 2
2 0 1
0 2 1
2 1 1
2 1 2
0 1 1
10 6
1 0 0
2 2 2
2 0 1
1 1 2
2 2 0
2 1 2
0 1 0
0 1 2
2 1 0
2 0 2
10 8
0 1 1
0 2 3
0 1 2
0 0 1
2 1 2
2 3 3
3 1 2
3 2 2
2 3 1
2 2 0
10 3
3 0 1
3 1 0
1 3 2
2 0 0
0 3 0
3 2 0
1 0 0
2 1 1
0 0 2
1 1 2
10 6
0 1 0
0 0 2
1 1 2
2 0 2
0 1 3
1 3 0
0 0 3
1 0 0
1 2 3
3 3 3
10 9
1 2 0
2 2 2
1 0 2
2 1 1
0 1 2
0 0 1
1 1 2
2 1 2
0 0 2
0 2 1
10 3
1 2 2
0 2 2
0 0 2
2 0 2
1 0 1
0 1 0
2 2 2
0 2 0
2 1 0
1 0 2
10 7
1 0 1
1 2 1
3 0 3
3 3 1
1 3 0
3 3 2
0 3 0
2 1 1
2 2 3
3 2 0
10 7
3 3 2
3 0 2
0 2 0
0 1 3
1 1 3
1 0 1
2 2 1
3 1 3
2 0 2
0 1 0
10 4
1 0 1
0 2 0
0 0 1
0 1 0
0 2 1
1 2 0
2 1 0
1 0 0
1 1 1
0 1 2
10 7
0 3 0
2 1 2
2 1 3
3 3 3
1 0 1
0 2 0
3 1 3
3 3 2
1 0 2
0 0 2
10 7
3 3 1
2 0 1
3 2 1
1 3 1
2 3 2
0 2 2
1 3 0
3 0 0
3 1 3
1 1 0
10 3
2 2 1
2 0 2
1 2 0
2 0 1
2 1 2
1 2 2
1 0 2
2 0 0
1 1 1
1 0 1
10 6
1 1 2
1 0 1
1 1 1
1 0 0
2 0 0
0 1 0
2 2 0
0 1 2
1 2 2
2 0 1
10 8
3 2 2
0 0 3
3 1 1
1 3 3
2 2 1
0 0 0
3 1 0
0 3 1
1 2 0
3 1 2
10 2
3 1 1
1 1 1
3 0 3
0 2 0
3 3 1
1 2 3
1 3 3
3 1 2
2 2 0
0 2 1
10 5
2 2 2
1 1 1
0 0 1
1 2 1
2 1 0
2 2 1
1 0 0
1 0 2
1 2 0
1 0 1
10 4
0 3 0
1 1 0
2 2 0
1 1 1
0 3 2
1 0 2
2 1 0
1 2 0
2 0 2
0 2 2
10 5
1 1 0
1 0 3
0 2 2
1 1 3
1 3 3
2 1 3
2 2 3
3 1 1
0 3 0
1 1 2
10 4
0 1 3
2 0 1
0 2 1
2 0 2
2 1 2
1 2 2
2 0 0
0 2 0
2 0 3
3 2 1
10 6
2 3 3
0 0 2
1 3 0
3 0 0
0 3 0
2 0 3
0 0 0
1 1 3
2 0 2
2 1 3
10 5
2 2 1
3 3 2
2 3 3
0 0 3
0 0 0
3 3 0
1 2 0
3 3 3
1 0 2
3 1 0
10 2
0 1 1
3 0 2
3 0 0
0 2 1
0 0 2
0 0 3
2 3 0
0 3 0
2 0 2
1 2 3
10 3
2 1 1
3 0 1
1 2 0
2 3 3
0 3 0
1 0 3
1 0 1
3 2 2
1 1 1
2 1 0
10 2
0 0 2
2 2 0
2 2 2
0 2 2
0 0 1
0 0 0
1 0 0
1 0 1
2 0 0
0 2 0
10 4
2 1 3
2 0 1
2 0 0
1 0 2
3 1 2
1 1 2
2 1 1
0 3 2
1 0 1
0 3 0
10 9
3 0 3
3 3 3
0 1 0
1 0 0
0 2 0
1 1 3
3 2 0
1 2 0
3 1 0
0 1 3
10 6
0 2 0
2 1 2
2 2 2
0 0 1
1 0 2
2 0 0
2 2 1
1 2 1
1 0 1
2 0 2
10 5
0 2 1
1 2 1
2 1 2
1 0 0
1 0 1
0 1 0
1 0 2
0 0 0
2 0 0
2 1 0
10 6
2 2 2
0 0 2
0 1 1
2 2 0
1 2 1
1 2 2
2 0 2
0 0 1
2 1 2
0 2 2
10 2
1 3 1
3 0 1
1 2 2
2 3 0
1 1 2
2 3 3
0 0 2
3 2 3
2 1 3
3 3 2
10 3
2 2 0
1 2 1
0 1 1
2 0 1
1 0 0
1 2 0
2 1 0
0 0 0
1 1 0
0 2 0
10 5
2 0 2
1 1 3
2 2 3
3 2 2
1 0 3
0 3 1
1 3 1
2 1 0
0 3 0
0 2 3
10 6
0 0 2
0 1 0
1 2 3
1 0 0
0 1 2
0 3 3
3 2 3
2 2 3
1 1 1
1 2 2
10 8
1 0 0
1 1 1
2 0 0
1 2 0
2 0 2
2 2 2
0 1 2
0 2 2
2 2 0
1 1 2
10 6
1 0 1
1 1 1
1 1 0
0 2 0
0 1 0
2 0 2
0 1 1
2 1 0
0 1 2
1 1 2
10 5
3 1 0
0 1 0
2 0 0
0 0 3
0 0 1
3 0 0
2 0 1
2 3 3
2 0 3
2 0 2
10 5
0 0 1
2 0 2
2 1 1
0 1 1
0 2 1
0 2 0
2 2 0
1 0 1
1 0 2
1 1 0
10 9
0 2 0
3 0 0
3 0 2
0 3 1
3 3 3
0 0 1
3 0 1
3 1 1
0 1 2
3 3 2
10 5
2 1 3
1 3 1
1 2 1
3 0 2
3 0 1
1 2 2
1 2 0
1 1 1
0 0 3
2 0 3
10 2
1 2 0
0 0 3
0 2 1
0 3 3
3 2 3
1 3 0
2 2 3
2 0 3
1 1 0
1 0 1
10 4
1 2 2
2 1 2
2 2 0
1 0 2
2 1 0
2 1 1
0 2 0
0 0 2
2 0 2
2 0 0
10 4
0 0 0
2 2 0
1 0 2
1 2 0
2 2 1
2 1 0
1 1 1
2 0 0
0 2 1
2 2 2
10 8
2 2 2
2 2 0
1 1 2
2 0 2
1 0 2
2 0 1
2 2 1
0 1 1
0 0 2
2 1 1
10 2
0 1 0
3 0 2
0 0 2
3 1 1
0 3 2
2 1 2
1 0 2
2 2 0
3 3 2
2 3 1
10 2
1 2 0
2 3 2
0 0 1
2 3 0
2 0 2
2 2 1
0 2 0
1 3 3
3 3 2
2 3 3
10 9
0 1 1
1 0 3
2 0 0
3 3 1
1 2 3
0 2 2
0 1 3
3 2 2
2 2 3
1 0 1
10 4
2 1 0
1 1 0
0 0 2
2 2 1
1 2 2
0 1 1
0 2 1
0 0 1
2 1 2
1 0 2
10 4
0 2 0
2 2 2
1 2 0
0 2 1
1 1 1
1 0 1
0 0 0
1 0 2
0 1 1
2 0 0
10 6
2 2 3
1 2 2
3 0 3
0 1 0
0 3 0
1 3 3
3 1 1
3 3 0
2 2 2
0 3 3
10 2
2 1 3
3 2 2
0 2 3
0 1 1
3 0 3
3 1 0
1 3 1
2 1 2
2 0 3
0 2 2
10 9
0 3 2
1 2 1
0 0 0
2 3 3
3 2 0
3 1 1
0 1 1
1 2 3
1 1 0
2 0 0
10 5
0 0 0
1 1 1
2 0 2
1 2 0
2 2 2
0 0 2
2 1 1
2 1 0
1 2 1
1 0 2
10 2
2 3 0
0 1 2
3 2 2
0 3 1
2 2 3
0 0 0
0 0 3
1 0 1
2 0 1
3 1 3
10 3
1 0 1
1 1 1
0 1 2
2 2 1
1 0 0
0 1 1
0 0 1
1 2 1
0 2 0
2 0 1
10 2
0 0 2
1 1 1
2 1 0
1 2 1
2 2 0
0 1 0
0 2 1
0 1 1
1 0 0
2 0 1
10 4
0 0 1
2 2 0
0 1 0
2 0 2
1 0 1
2 1 0
0 0 0
1 1 0
1 0 0
1 1 2
10 4
3 0 2
3 0 3
0 3 0
3 2 3
2 1 3
3 0 0
1 1 0
0 0 1
3 3 2
2 1 0
10 7
2 1 2
2 2 0
0 1 0
2 0 2
1 0 0
2 0 0
1 2 2
1 2 0
1 0 2
1 1 2
10 7
0 0 2
2 3 1
2 0 1
0 2 2
2 2 1
2 3 3
3 1 2
1 0 2
1 3 3
1 3 2
10 3
0 1 1
3 0 1
0 3 0
0 0 2
1 3 3
3 1 2
2 1 1
3 2 1
1 2 1
2 1 0
10 8
0 1 2
0 0 1
1 2 1
2 1 0
0 2 0
1 0 0
2 2 0
1 1 0
2 2 1
0 1 1
10 9
2 1 0
2 0 1
2 2 2
1 2 0
2 2 1
1 0 2
1 2 2
2 2 0
2 0 2
2 1 1
10 9
1 1 1
1 0 1
1 2 0
0 1 2
1 1 0
1 1 2
2 0 2
2 1 0
1 0 2
0 2 0
10 9
1 1 2
2 0 1
2 2 0
0 2 0
1 0 1
0 0 2
2 1 1
1 2 0
0 1 0
1 0 2
10 8
1 2 1
2 0 2
0 2 2
0 2 0
1 0 1
1 1 2
2 2 1
1 0 0
1 0 2
1 2 0
10 9
0 2 1
0 0 1
2 2 1
1 2 0
1 1 0
2 1 0
2 0 1
2 1 2
0 1 2
0 2 0
10 8
1 1 1
2 0 2
2 2 2
0 1 1
0 1 2
1 0 2
2 2 1
1 2 0
2 2 0
0 0 1
10 4
1 1 2
0 0 2
0 1 2
2 2 2
2 1 1
0 2 1
2 0 2
1 1 0
0 0 1
1 0 1
10 4
2 2 3
0 1 2
2 1 2
0 0 1
1 0 3
0 3 2
0 3 1
0 0 0
1 1 0
0 2 1
10 4
2 2 2
1 2 1
0 2 2
0 0 1
1 1 2
2 2 0
1 1 0
0 0 0
1 0 1
2 2 1
10 2
1 1 0
2 2 1
0 0 1
0 2 2
0 1 1
1 2 1
0 1 2
2 2 2
1 1 2
0 1 0
10 4
1 2 1
3 2 0
2 2 2
0 2 1
3 0 1
0 0 0
2 0 2
0 2 2
1 0 0
0 1 0
10 2
2 1 1
0 1 2
1 1 2
0 2 1
1 0 0
2 2 1
1 0 1
1 1 0
0 1 0
1 2 0
10 8
2 0 0
1 0 2
0 2 0
0 1 1
0 1 0
2 1 1
1 1 0
1 2 0
0 2 1
2 0 2
10 4
3 0 1
2 3 2
0 1 0
3 3 2
1 2 1
2 3 1
1 3 0
3 3 0
2 0 3
2 2 0
10 9
3 1 1
1 3 0
2 3 2
3 3 3
1 2 3
0 2 2
0 2 3
0 3 0
2 2 1
2 3 1
10 7
2 2 2
0 1 2
2 0 1
1 2 2
1 0 2
1 0 1
1 2 1
2 2 0
1 2 0
1 0 0
10 4
2 2 1
0 2 0
2 1 1
2 0 0
2 0 2
0 1 2
0 1 1
0 0 2
1 1 1
2 0 1
10 8
1 2 0
3 1 2
0 0 3
2 0 2
2 0 1
3 1 3
1 0 2
2 1 3
1 1 2
1 3 1
10 4
1 1 1
1 0 0
1 1 0
2 1 1
2 0 1
0 0 2
1 2 0
0 2 0
0 1 0
1 2 2
10 9
1 2 0
0 1 2
2 2 0
2 2 2
0 2 1
0 0 1
0 1 1
1 1 2
2 1 2
2 0 0
10 4
1 0 2
3 0 2
3 0 3
0 1 2
2 3 2
3 1 1
2 1 2
1 2 1
1 3 3
2 1 1
10 7
2 1 0
1 1 0
2 2 0
0 0 0
1 0 2
0 2 2
2 1 1
1 1 1
1 1 2
1 0 1
10 3
2 2 0
0 1 1
1 2 0
1 0 1
0 0 0
0 2 0
2 0 2
2 2 2
0 0 2
1 1 0
10 9
1 1 1
0 0 0
2 1 0
0 0 1
1 0 2
1 2 0
2 2 0
0 0 2
1 2 1
0 2 0
10 7
0 2 1
0 1 1
0 2 2
2 1 1
2 1 0
0 0 1
1 0 1
0 0 2
2 0 2
0 1 2
10 7
1 2 0
0 0 1
0 0 0
1 0 0
2 2 1
1 1 2
2 2 2
2 1 0
2 2 0
0 2 1
10 5
2 0 1
0 2 2
1 3 0
1 2 1
1 0 0
1 2 2
3 0 2
2 1 0
2 3 0
0 1 0
10 3
1 1 0
2 0 1
2 0 0
0 1 0
2 2 2
1 0 1
0 0 2
1 0 0
2 0 2
0 2 2
10 8
0 2 2
0 1 0
1 1 2
2 0 0
0 1 2
2 1 1
1 0 1
1 2 2
1 0 0
1 1 1
10 5
2 1 2
2 1 0
1 2 2
0 2 1
2 0 2
1 1 1
0 1 0
2 0 1
1 1 0
1 1 2
10 3
0 1 1
0 2 1
0 3 0
3 0 0
1 2 0
2 0 3
3 0 3
1 1 3
3 0 2
3 3 2
10 8
3 2 0
3 0 1
1 0 1
2 1 2
2 3 3
2 0 3
1 0 3
2 1 1
3 2 3
1 3 3
10 4
2 1 1
2 1 2
1 1 2
2 2 2
2 0 0
0 0 0
1 2 0
1 1 1
1 2 2
1 0 0
10 5
2 2 2
1 2 0
0 0 2
2 0 1
2 2 1
0 2 0
0 1 1
1 1 2
1 1 1
1 0 1
10 3
1 0 0
2 1 1
1 1 1
1 0 2
2 2 0
0 0 2
2 0 0
0 2 0
0 1 2
1 2 1
10 8
1 3 0
0 0 0
3 2 1
1 0 0
0 1 1
1 3 2
3 0 3
3 0 1
1 0 1
2 0 1
10 9
0 2 2
1 2 0
1 0 3
0 1 3
0 0 3
1 0 1
3 2 3
3 3 0
1 3 1
3 0 1
10 3
0 1 0
1 3 3
0 1 2
0 2 3
1 0 3
3 0 2
3 3 3
1 2 2
3 0 3
1 1 0
10 3
0 1 1
1 1 0
0 0 1
2 1 1
2 0 2
2 2 1
1 2 0
1 0 2
2 2 0
1 2 2
10 2
2 2 1
1 2 1
3 2 2
2 1 1
3 3 0
2 2 2
0 0 0
1 2 0
2 0 0
3 0 0
10 7
0 1 2
1 2 1
2 2 1
0 0 0
0 1 0
1 2 2
2 0 1
1 0 0
0 1 1
1 1 1
10 7
1 0 3
1 3 0
0 2 1
1 1 1
2 0 3
1 3 1
0 0 0
3 3 2
0 3 0
1 2 1
10 5
2 1 2
2 3 2
2 3 0
2 3 3
1 1 3
2 3 1
0 0 1
1 2 2
1 3 3
1 3 0
10 3
1 1 1
0 1 0
1 2 2
0 0 2
2 1 2
1 0 2
2 2 2
2 1 1
0 1 2
2 0 1
10 4
1 2 1
2 1 0
1 2 0
0 0 0
2 2 2
2 0 0
0 1 2
1 0 2
0 1 0
2 1 1
10 3
1 2 1
0 1 1
1 2 0
0 2 1
2 1 2
1 1 2
1 0 0
2 2 1
2 0 0
0 0 0
10 6
0 2 2
1 2 0
1 0 1
1 0 0
0 1 2
0 1 1
1 0 2
0 2 1
2 1 0
2 2 1
10 4
2 0 2
1 2 0
0 2 0
2 0 0
1 1 0
1 2 2
0 0 2
0 1 0
0 1 1
0 2 1
10 5
2 2 2
3 2 2
1 2 3
0 0 3
3 3 2
3 3 1
3 3 0
3 1 2
0 0 0
3 1 3
10 4
0 0 0
2 2 2
2 0 2
2 1 1
1 1 0
0 1 0
0 2 0
1 1 1
2 0 0
2 2 0
10 5
3 0 0
1 0 0
1 3 0
0 2 3
1 0 1
3 3 1
0 1 2
0 2 1
1 1 2
0 3 2
10 3
0 1 1
2 2 0
0 1 0
0 0 0
2 1 0
1 1 2
0 1 2
2 1 2
0 0 1
1 2 0
10 5
0 0 1
1 0 1
0 2 1
0 2 0
1 2 1
0 0 0
1 2 2
2 1 1
1 0 0
2 2 2
10 4
3 3 2
0 0 0
2 2 3
1 0 2
2 0 2
0 2 1
3 0 0
0 1 0
3 2 3
3 1 0
10 7
2 0 3
3 2 1
2 3 1
0 0 3
1 2 0
0 2 0
3 2 3
3 3 2
0 0 0
1 3 0
10 7
1 2 2
1 1 0
0 2 2
2 1 2
2 1 1
1 1 1
1 0 1
2 2 0
1 0 0
2 1 0
10 4
3 2 2
2 3 1
1 1 3
2 3 2
1 3 1
1 3 3
2 3 3
3 3 2
0 0 1
3 1 2
10 9
1 1 2
1 1 1
0 0 0
2 2 1
2 2 0
0 1 2
1 0 2
0 1 1
1 0 1
0 0 1
10 5
2 2 0
2 2 1
1 1 1
1 2 2
1 0 2
2 2 2
0 2 0
1 0 1
1 1 0
1 0 0
10 5
1 1 2
2 0 0
1 0 2
2 2 0
2 1 1
1 1 0
1 1 1
2 2 2
1 0 0
1 2 2
10 6
2 2 0
2 1 2
1 0 0
1 2 0
0 1 1
0 2 2
1 1 1
1 2 1
2 0 2
0 1 2
10 7
0 3 1
3 3 2
0 0 0
2 3 0
1 0 1
1 2 3
1 2 2
2 2 3
2 2 0
2 0 3
10 2
0 1 1
0 0 2
2 0 2
1 1 2
0 0 1
2 2 2
1 1 0
1 0 1
2 1 0
0 1 0
10 6
2 0 1
2 0 0
1 3 3
3 1 3
0 3 0
2 2 0
1 3 0
3 1 2
2 2 3
0 3 3
10 8
0 0 2
0 2 2
0 0 0
2 2 0
1 2 0
2 1 1
0 2 1
2 0 1
1 0 0
0 1 2
10 5
0 2 1
1 2 1
1 0 2
1 3 2
1 3 0
2 3 1
2 1 3
1 1 1
0 2 3
0 1 2
10 3
1 3 1
0 1 2
1 0 2
0 0 1
1 0 3
1 2 0
3 3 2
3 0 2
2 0 2
2 2 0
10 2
0 1 1
3 0 1
3 0 0
0 2 3
2 3 1
0 3 2
0 0 3
0 0 2
2 2 3
2 0 1
10 8
0 2 0
2 2 2
0 1 2
1 0 1
2 2 0
2 0 1
2 0 2
0 0 1
1 2 0
2 0 0
10 8
3 2 2
3 1 0
1 3 3
2 1 0
1 0 0
1 0 3
3 0 0
0 3 1
1 2 3
2 3 1
10 5
2 0 1
1 2 0
1 1 2
1 2 1
2 0 0
1 0 0
2 2 0
2 2 2
0 2 1
0 2 0
10 2
3 1 0
1 0 0
1 0 1
3 1 3
0 3 2
0 2 1
0 0 1
0 1 3
3 3 3
0 1 1
10 5
3 1 1
2 0 1
1 1 3
1 2 0
2 2 3
1 2 2
1 0 3
1 1 2
0 2 3
2 3 3
10 3
2 0 1
2 1 2
0 1 1
0 2 1
0 0 1
2 1 1
2 2 0
0 2 2
1 1 2
1 1 0
10 4
1 1 1
0 2 1
1 2 1
2 0 0
2 1 2
0 1 1
0 1 0
0 2 0
0 0 1
0 0 0
10 3
0 2 2
2 0 1
0 2 0
2 2 1
0 2 1
2 0 2
2 2 0
0 0 1
1 0 2
2 2 2
10 9
2 3 1
1 2 0
3 3 3
0 3 3
3 2 1
3 2 0
0 3 0
2 0 2
2 3 0
2 2 3
10 4
2 2 2
2 0 1
0 1 2
1 2 2
2 0 0
0 0 0
2 2 0
0 2 1
1 0 2
2 0 2
10 2
1 2 0
1 1 0
0 0 0
1 0 0
0 0 2
2 1 0
1 0 1
0 0 1
0 2 0
2 0 1
10 5
1 0 2
0 2 0
1 0 1
0 0 0
2 2 0
2 1 0
1 2 0
2 0 2
2 1 1
2 0 1
10 7
0 1 3
3 0 0
1 0 0
0 2 3
1 1 3
3 2 1
3 1 1
1 2 0
3 2 3
2 1 1
10 5
0 1 2
0 0 0
3 0 3
0 1 0
2 3 0
3 0 0
1 1 2
0 1 3
2 1 1
1 1 3
10 9
1 0 1
0 2 2
2 1 2
1 2 2
0 0 1
1 2 1
0 1 2
1 1 2
2 1 1
2 2 2
10 7
1 2 2
0 0 2
1 0 1
0 0 0
2 1 1
1 1 0
0 2 1
1 1 1
2 1 0
0 1 2
10 6
3 2 0
2 3 3
3 0 1
1 1 3
2 2 0
1 0 0
1 0 1
2 0 2
2 0 3
3 3 1
10 8
2 1 3
1 0 0
3 1 2
0 1 1
3 0 3
0 0 0
3 1 1
2 1 2
3 3 3
2 0 2
10 7
1 2 0
1 3 2
0 0 0
1 0 3
2 0 0
1 1 1
3 3 1
2 3 1
3 0 1
0 3 1
10 5
1 2 1
0 2 2
0 0 0
1 2 2
0 1 1
0 0 1
2 2 0
2 0 2
0 2 1
1 2 0
10 3
0 0 0
1 0 2
1 2 1
0 1 2
2 1 1
1 2 0
0 1 0
2 2 1
1 1 0
0 0 1
10 9
2 0 1
1 1 2
0 1 0
2 1 1
2 2 0
0 1 2
0 2 1
1 0 2
2 2 2
1 0 0
10 7
2 2 2
3 1 3
1 1 0
0 3 3
3 2 0
0 1 2
1 3 0
1 2 0
2 0 0
2 3 1
10 3
2 1 0
1 2 1
3 3 0
2 0 2
2 3 1
0 0 0
3 0 1
2 3 3
3 3 1
2 1 1
10 4
2 0 3
0 2 0
2 3 3
1 1 0
0 0 1
1 2 3
0 1 1
3 2 0
1 3 3
1 3 2
10 3
0 1 1
0 0 0
1 2 1
0 2 0
0 2 1
1 0 0
2 0 2
1 0 2
2 0 0
1 1 2
10 7
1 3 2
2 0 2
0 2 0
0 1 3
2 0 1
3 2 1
1 3 0
1 3 1
2 2 3
1 1 3
10 5
1 2 1
2 2 2
0 0 1
2 1 0
3 1 0
1 3 3
2 0 1
1 3 1
1 1 3
2 3 1
10 8
2 0 1
1 2 2
1 0 1
1 2 1
0 2 0
0 1 2
2 1 2
0 1 0
1 0 2
0 0 0
10 9
3 1 3
3 3 1
0 2 2
2 0 3
0 0 0
3 2 2
2 0 0
1 1 3
3 0 3
1 0 1
10 9
1 2 0
0 1 0
0 0 2
1 1 1
2 0 0
2 0 2
0 0 1
2 0 1
1 1 0
2 1 0
10 9
2 1 0
2 2 0
2 0 1
0 2 1
2 0 2
0 0 2
0 0 0
2 0 0
1 1 2
1 0 1
10 3
1 1 0
0 0 1
2 0 1
0 2 1
1 2 1
2 0 0
2 2 1
0 0 2
2 1 0
2 2 0
10 8
1 0 0
1 0 1
0 0 0
0 1 0
2 1 0
0 0 2
2 1 2
1 1 1
0 1 1
2 2 0
10 2
0 1 1
1 3 2
0 2 3
3 0 3
3 2 3
3 3 0
0 3 1
3 1 0
0 0 3
1 1 0
10 8
0 1 2
0 0 1
1 1 2
1 2 1
2 2 0
2 0 0
0 1 1
2 2 1
1 2 0
0 1 0
10 9
2 2 0
2 0 0
0 2 1
1 1 1
1 2 2
2 1 2
2 2 2
2 0 2
0 0 0
1 2 0
10 4
1 3 1
3 3 3
1 0 3
2 1 1
0 3 0
2 2 1
2 2 3
0 0 0
0 3 1
1 0 2
10 2
3 3 1
0 0 3
0 2 3
2 3 3
2 3 0
1 2 1
0 3 1
0 0 2
0 3 3
3 1 3
10 9
2 3 2
2 0 3
2 3 3
3 0 2
1 2 3
0 0 2
0 1 2
0 1 3
3 0 3
3 1 3
10 9
2 2 2
2 0 3
0 2 1
2 0 0
2 1 3
0 2 3
3 3 2
2 2 1
0 0 2
0 1 3
10 9
3 0 0
1 2 1
2 1 1
2 0 1
1 0 0
2 0 0
0 0 2
1 3 2
1 1 1
3 3 2
10 3
2 0 2
3 1 1
2 2 1
3 2 2
0 3 2
1 1 3
1 1 0
2 3 2
0 0 0
3 0 2
10 6
1 3 3
3 1 3
3 3 0
0 1 2
0 2 0
2 1 1
1 1 0
3 2 3
0 0 2
2 1 3
10 2
0 1 2
2 0 2
1 0 3
3 3 2
0 1 3
1 3 3
3 0 0
3 2 0
2 1 3
0 3 3
10 5
0 2 2
0 2 1
1 0 0
0 1 0
0 1 2
1 1 1
1 1 0
2 2 2
1 0 2
2 0 2
10 4
0 0 1
0 1 0
0 1 2
2 1 0
0 0 0
2 2 0
1 0 0
1 1 1
2 2 1
2 0 2
10 2
0 2 2
1 2 0
1 0 2
2 2 0
2 2 1
0 2 0
0 1 1
2 0 0
1 1 1
2 1 2
10 6
1 2 3
3 3 2
3 2 3
1 0 3
2 3 0
2 1 3
1 3 1
1 1 1
2 0 3
0 2 1
10 2
3 1 3
2 0 0
0 3 1
0 2 3
0 2 2
0 1 0
3 0 3
1 0 3
1 2 3
0 0 2
10 9
1 2 1
0 1 0
2 0 2
0 2 2
2 1 0
1 1 2
1 0 2
0 2 1
0 0 0
0 0 2
10 2
3 1 1
0 0 0
3 0 0
1 0 0
0 3 3
0 2 3
3 3 0
0 1 1
0 0 3
2 2 3
10 4
2 2 0
0 2 2
0 1 0
2 2 1
1 0 1
2 2 2
1 1 1
1 0 0
0 0 2
1 1 0
10 8
1 1 3
0 1 0
2 0 1
2 1 2
0 1 2
0 2 0
3 2 0
1 0 1
2 3 1
3 0 1
10 9
3 3 3
3 3 1
0 3 1
3 0 1
1 2 1
2 1 3
2 0 2
0 0 1
0 0 2
2 0 1
10 2
2 0 2
1 0 2
1 1 2
0 0 1
2 1 0
1 2 0
2 1 2
0 0 0
1 2 1
0 0 2
10 2
3 2 2
1 0 1
2 0 2
1 2 3
0 1 0
1 1 0
1 2 0
1 3 2
1 0 3
0 3 0
10 3
0 2 1
2 1 2
0 0 0
2 1 0
1 1 2
2 0 1
2 0 2
2 2 0
1 2 1
1 1 1
10 2
1 2 2
1 1 0
0 1 2
1 1 2
2 1 2
1 0 0
2 1 1
0 1 1
0 1 0
2 1 0
10 9
0 1 2
2 0 2
1 1 1
1 1 0
0 2 0
1 2 0
0 1 0
0 0 2
1 0 1
1 0 2
10 3
0 0 0
0 0 2
2 2 1
2 3 1
0 3 1
2 0 3
1 3 0
3 2 1
1 0 1
3 2 3
10 9
1 2 0
3 2 3
1 0 0
1 0 2
1 2 2
1 1 0
3 1 0
1 1 3
2 2 0
0 1 2
10 4
2 2 2
2 0 1
2 1 1
0 2 0
1 2 0
0 0 0
2 2 1
1 1 1
0 2 1
1 2 1
10 4
0 2 2
2 1 0
3 3 3
3 2 1
1 0 0
3 0 1
2 0 0
2 0 1
2 3 1
0 3 1
10 4
1 0 0
1 2 3
3 0 0
3 3 0
2 2 3
0 2 1
1 1 0
1 2 2
2 3 3
0 0 1
10 4
1 0 0
1 2 0
2 2 2
2 1 0
0 2 2
0 0 0
2 0 1
1 2 2
1 0 1
1 1 0
10 2
1 0 2
0 1 2
1 0 0
0 2 1
0 1 1
2 1 0
1 2 2
0 1 0
2 1 1
2 2 1
10 4
1 2 1
0 1 0
1 3 0
0 3 1
1 1 0
1 3 3
3 2 2
0 1 1
0 0 0
3 1 1
10 8
3 2 0
3 2 1
1 3 3
2 1 3
1 0 2
1 0 1
0 1 2
0 0 1
2 0 2
3 0 2
10 5
0 1 0
2 0 1
1 2 1
1 2 2
0 1 1
0 0 2
2 2 0
1 0 1
1 2 0
1 0 0
10 2
2 1 0
1 0 1
0 2 1
0 2 0
0 1 2
0 1 1
0 0 1
1 1 1
0 1 0
2 1 2
10 4
1 3 2
3 0 2
2 3 0
1 3 0
2 3 2
2 2 1
0 1 0
0 3 0
0 2 3
1 0 2
10 3
0 0 2
2 2 1
2 1 2
2 1 0
1 1 0
2 0 1
2 0 0
2 0 2
0 2 0
1 1 2
10 7
2 1 1
1 0 0
0 3 3
1 1 3
2 1 0
0 2 1
2 2 1
1 2 0
2 0 2
2 3 1
10 2
0 2 1
0 0 0
1 2 1
1 0 1
1 1 0
2 2 1
1 0 2
2 0 1
0 1 0
0 1 2
10 6
1 2 2
3 0 1
0 2 1
3 3 0
0 3 2
3 1 1
3 1 3
2 0 1
2 3 3
0 0 1
10 2
1 2 1
0 2 2
2 2 0
1 0 1
2 2 2
1 2 2
0 1 0
2 2 1
2 1 1
2 1 0
10 2
2 2 1
2 0 1
0 1 0
0 0 1
1 1 0
2 1 1
2 0 0
0 1 1
0 0 2
1 1 2
10 4
1 2 2
2 1 2
1 1 2
1 2 0
2 1 0
1 1 1
2 2 2
1 0 1
2 2 0
0 0 1
10 3
2 0 1
0 2 2
0 2 1
0 0 2
1 0 2
0 2 0
0 0 1
1 1 2
1 2 1
1 2 0
10 2
2 1 0
0 0 0
0 0 3
0 3 1
2 2 3
2 0 3
1 0 0
1 3 0
3 2 1
3 3 1
10 7
1 0 0
2 1 2
2 0 1
2 1 0
1 0 2
1 1 1
2 1 1
0 1 1
1 0 1
0 0 2
10 8
3 1 2
2 2 1
1 3 2
2 0 1
1 2 3
3 0 3
3 2 3
0 0 1
2 2 2
0 1 1
10 6
0 1 1
2 1 0
0 2 2
2 1 2
0 2 0
0 0 0
1 2 2
0 2 1
2 0 0
2 2 1
10 7
0 0 2
2 2 0
0 1 1
1 1 1
1 2 1
2 0 2
1 0 1
0 2 0
2 2 2
2 1 2
10 3
1 0 2
1 0 0
2 2 0
2 0 0
0 0 1
1 1 0
2 1 1
0 2 2
2 2 1
1 1 2
10 5
0 1 0
0 2 1
1 1 0
2 2 0
0 0 1
0 0 0
0 2 0
1 1 2
1 2 0
1 0 2
10 2
1 2 2
1 0 1
2 1 2
2 0 0
2 2 0
2 1 0
0 1 0
0 2 1
0 1 1
0 1 2
10 3
2 1 1
0 1 2
1 1 1
1 1 2
0 2 0
0 2 1
0 0 1
0 2 2
1 2 2
2 1 2
10 4
2 2 2
2 1 1
2 2 1
1 2 1
1 2 0
1 2 2
0 1 1
2 0 0
2 0 1
1 0 1
10 9
0 2 0
0 1 1
2 3 0
1 3 0
3 2 2
1 2 2
2 3 2
1 0 1
3 2 1
3 3 0
10 9
0 2 1
2 1 1
1 0 0
0 1 1
2 0 0
2 2 1
2 0 2
0 0 1
1 1 0
2 2 0
10 2
2 1 2
0 2 0
2 0 2
0 1 1
1 1 2
1 0 0
1 1 1
0 2 2
1 0 2
1 1 0
10 3
1 1 2
3 3 1
1 0 1
1 1 1
2 2 3
3 1 1
3 3 2
2 2 1
2 0 3
0 3 2
10 8
2 1 0
0 2 1
1 2 2
2 0 2
1 1 0
2 2 2
0 2 2
0 0 2
0 0 1
2 2 1
10 3
2 2 1
2 0 0
0 2 1
0 2 0
2 0 1
1 0 1
0 1 0
0 1 2
0 0 2
2 0 2
10 9
0 0 0
1 0 3
1 3 3
2 3 2
1 1 0
1 2 2
3 0 1
1 3 2
0 2 0
3 1 0
10 4
1 1 2
2 0 0
1 0 1
2 1 1
0 0 1
2 2 2
1 2 1
1 1 1
1 1 0
1 0 2
10 5
1 0 1
2 0 0
2 0 2
0 1 1
2 2 2
0 1 2
1 0 2
0 2 1
2 2 0
0 2 2
10 2
1 0 2
1 1 2
1 2 0
2 0 3
0 1 0
3 1 3
2 0 2
3 0 0
3 3 0
3 2 0
10 7
3 2 2
0 2 2
1 1 1
0 2 0
3 2 1
3 0 1
1 1 2
2 2 0
1 2 2
1 1 3
10 3
1 2 0
0 0 2
2 1 2
2 0 1
1 0 0
1 1 2
0 1 1
1 2 1
0 0 0
1 0 2
10 4
3 3 3
2 3 0
3 0 0
2 2 1
1 1 0
2 2 3
2 0 3
3 1 1
1 3 0
0 2 1
10 6
0 0 3
0 1 1
3 2 3
1 3 1
1 3 2
3 3 3
3 2 2
3 1 3
2 2 3
0 2 2
10 2
2 0 0
1 2 0
2 0 1
0 0 1
1 0 1
1 1 2
0 1 1
1 0 2
1 2 1
0 0 0
10 4
1 0 0
1 2 2
1 2 0
1 1 2
0 2 2
0 2 1
0 0 1
1 2 1
2 2 2
1 1 0
10 7
1 1 2
1 2 1
2 2 1
2 1 1
2 0 1
1 2 0
0 1 0
0 2 1
2 0 0
0 0 1
10 6
1 2 2
0 1 1
2 1 2
2 1 1
2 0 2
0 0 0
0 1 0
2 0 0
1 0 0
1 1 1
10 8
0 0 0
3 3 2
1 1 2
3 1 1
0 1 0
2 3 2
3 2 2
1 1 0
2 3 0
1 2 1
10 7
2 3 3
1 3 1
0 3 0
1 1 0
1 1 3
0 1 0
1 3 2
3 1 0
3 0 3
2 1 0
10 5
2 2 1
3 3 0
1 1 0
3 3 2
2 3 3
1 2 2
2 1 1
3 1 0
2 2 0
2 1 3
10 3
0 1 1
0 2 2
1 2 1
2 2 0
2 2 2
0 1 2
0 0 1
2 1 0
1 2 2
1 1 2
10 5
2 1 1
2 0 2
1 1 2
1 0 2
0 1 1
0 0 1
1 1 0
0 1 2
0 1 0
1 2 2
10 6
2 1 0
2 0 0
1 2 1
1 2 0
0 1 2
1 0 2
2 1 1
2 2 1
2 0 1
0 0 2
10 4
1 1 1
2 1 2
0 1 1
2 0 1
2 2 2
1 0 1
1 1 0
0 1 0
0 2 2
2 1 0
10 9
2 0 2
1 1 0
1 0 1
2 2 1
1 1 1
0 0 2
0 1 0
0 2 1
0 2 2
1 1 2
10 9
2 3 2
3 2 0
2 0 2
3 2 3
3 3 2
1 3 3
0 3 0
3 2 1
1 2 2
2 1 2
10 8
1 1 1
0 1 2
0 3 2
1 0 1
2 2 0
1 2 0
3 1 3
0 2 1
3 0 0
1 3 2
10 2
0 3 3
0 2 3
2 3 0
1 2 1
1 0 2
1 3 1
1 0 3
3 0 1
1 3 2
2 3 2
10 6
1 3 2
0 3 0
0 3 2
2 3 1
1 0 2
0 0 2
2 1 2
1 2 1
1 2 0
1 1 1
10 2
2 2 2
1 1 0
2 1 1
2 0 2
1 1 2
1 1 1
1 2 2
2 0 1
0 0 2
1 2 0
10 7
2 3 1
3 3 3
1 1 1
3 1 2
1 2 1
1 3 0
0 2 3
0 0 1
3 1 1
1 2 0
10 4
2 1 0
0 1 0
2 0 1
1 2 2
1 1 0
0 0 1
2 0 2
1 0 0
0 2 0
1 2 0
10 2
1 2 2
0 2 0
2 0 2
1 1 1
1 0 1
0 0 1
0 0 2
2 1 1
2 1 0
0 1 1
10 8
1 1 2
0 2 2
1 2 2
2 2 2
2 1 0
0 2 0
2 0 0
0 0 2
0 0 1
2 0 1
10 8
2 0 2
0 2 1
1 2 0
2 3 0
1 2 3
1 0 1
2 2 0
3 2 2
0 0 1
2 3 3
10 3
3 3 0
1 2 1
0 0 2
0 1 2
3 2 2
0 0 3
3 3 2
2 0 0
0 3 3
2 1 0
10 2
3 3 3
2 0 3
2 0 1
1 1 1
3 3 2
1 0 0
3 2 0
1 1 3
0 0 3
1 3 2
10 4
1 3 1
2 0 1
3 0 0
1 1 1
2 0 2
3 2 3
3 1 2
3 2 2
3 3 0
0 2 2
10 9
2 1 2
0 2 1
2 2 1
1 0 0
0 0 0
0 1 1
2 2 0
1 2 2
2 0 2
1 0 1
10 3
0 2 1
0 0 1
0 1 2
2 2 2
0 2 0
1 1 0
2 0 1
1 0 0
1 2 0
1 2 2
10 5
1 0 2
0 0 0
1 3 1
3 2 0
3 1 3
0 3 3
3 2 1
2 2 3
1 1 3
1 0 0
10 9
1 0 0
0 2 2
1 0 1
1 2 0
0 2 1
2 2 2
1 1 1
1 0 2
0 2 0
2 1 0
10 8
1 0 1
0 2 1
0 0 1
2 1 0
1 1 2
0 2 2
2 0 1
1 1 0
0 0 0
2 1 1
10 5
1 1 2
2 1 3
2 3 3
1 3 0
2 3 0
3 2 2
2 0 0
1 1 0
1 2 3
3 2 3
10 7
1 0 2
0 1 1
0 1 0
1 2 1
2 1 2
0 2 1
1 2 0
0 0 2
2 2 1
1 1 1
10 9
0 2 2
2 2 0
0 2 1
0 1 1
1 0 0
0 1 0
1 2 0
0 2 0
2 2 1
1 2 2
10 7
0 0 2
0 3 2
1 2 2
0 2 1
0 3 3
2 1 0
3 1 0
1 1 0
1 2 3
2 0 1
10 3
1 1 0
2 2 1
2 0 1
1 2 0
0 0 0
0 1 2
0 2 1
1 2 1
2 2 0
0 0 1
10 7
1 2 3
3 1 1
1 3 2
0 2 3
2 1 3
1 1 0
0 2 0
3 2 0
1 2 1
0 0 1
10 3
1 2 1
0 0 1
2 0 1
2 2 0
2 1 0
2 0 0
0 1 0
1 1 2
1 0 2
1 2 0
10 9
0 2 0
2 2 1
2 0 3
3 0 2
1 0 3
2 0 0
0 1 2
2 1 3
1 1 3
0 3 3
10 4
0 3 3
2 3 0
2 3 1
0 3 1
2 1 2
3 0 1
2 1 1
1 1 3
0 1 3
2 0 0
10 3
2 2 3
1 0 0
0 2 0
1 1 2
3 2 0
3 3 3
0 3 0
0 0 3
0 1 3
2 3 1
10 3
0 0 0
0 3 0
2 0 1
2 1 2
3 0 0
0 0 3
2 3 2
1 1 1
0 2 1
2 2 3
10 6
2 1 0
1 0 0
1 0 2
0 1 0
1 1 1
2 0 0
0 1 2
1 1 0
0 0 2
0 2 1
10 2
2 0 3
2 2 0
0 1 3
3 1 2
0 2 1
3 0 1
0 1 0
2 2 3
0 2 3
2 3 2
10 4
0 3 0
2 2 3
3 3 1
1 1 1
1 3 3
0 0 3
0 0 1
2 1 3
1 1 0
1 3 2
10 8
1 2 0
2 2 0
0 2 2
1 2 2
0 1 1
2 0 2
1 0 0
2 1 0
2 2 1
2 0 0
10 6
1 1 1
0 2 0
0 2 2
0 1 0
3 1 2
3 0 2
1 3 3
1 2 1
2 0 2
3 2 3
10 7
1 2 2
0 0 0
1 1 0
2 0 2
2 1 0
2 2 1
1 2 0
0 1 1
0 2 0
0 2 1
10 7
3 1 3
2 1 3
1 0 2
0 2 2
2 2 3
1 3 0
0 1 1
1 1 1
2 2 0
0 1 3
10 7
0 1 1
1 0 0
2 1 0
0 0 1
0 2 1
2 1 2
1 0 1
0 0 0
1 1 2
2 0 0
10 3
1 1 2
3 0 1
0 2 1
3 1 3
2 1 3
0 0 2
2 0 3
3 3 1
3 2 3
1 3 1
10 8
1 2 0
0 1 1
1 1 2
0 0 0
2 1 2
0 1 2
0 1 0
2 0 1
2 2 0
0 0 1
10 9
2 0 0
2 1 0
1 0 1
2 1 2
0 1 0
0 1 1
1 0 0
0 0 1
1 1 2
1 2 2
10 9
2 3 2
0 3 0
3 1 3
1 2 1
1 1 1
3 1 0
0 2 0
0 3 1
1 1 2
2 0 1
10 7
0 1 1
2 1 2
2 2 0
0 0 2
1 0 0
2 2 1
1 1 2
0 0 1
1 0 1
2 0 1
10 2
0 2 1
1 0 0
2 0 1
1 2 0
2 1 2
2 1 0
0 0 1
2 0 2
2 1 1
1 0 2
10 9
0 1 0
1 0 0
2 2 0
1 0 1
3 3 2
2 3 3
1 3 3
1 2 0
3 0 3
3 1 0
10 4
3 0 1
2 0 1
0 3 3
3 1 1
2 1 3
1 3 0
2 0 2
0 2 3
1 3 3
1 2 0
10 9
0 1 0
2 0 2
1 2 2
2 1 1
0 2 1
2 2 2
1 1 2
1 2 1
0 1 2
2 0 0
10 6
0 1 2
1 0 1
0 0 1
2 1 1
1 0 2
2 1 2
1 1 0
2 2 1
1 2 1
2 0 1
10 9
0 1 0
0 0 0
0 1 1
0 0 2
0 2 0
1 0 2
2 2 0
2 0 1
2 1 2
2 2 2
10 9
2 2 2
2 1 0
2 2 1
0 2 0
0 0 2
1 2 1
1 0 2
2 1 2
2 1 1
0 0 1
10 3
2 1 0
0 1 2
2 1 1
0 2 2
0 2 0
1 2 1
1 0 2
1 1 0
2 0 0
2 0 2
10 2
2 0 0
2 0 1
2 1 0
0 2 0
2 0 2
2 1 2
2 1 1
0 0 1
0 0 0
0 0 2
10 2
0 1 0
2 2 2
2 1 0
2 1 2
0 2 0
2 2 0
2 0 0
1 0 0
2 2 1
0 0 2
10 5
0 0 0
2 1 0
2 1 2
1 2 2
0 1 1
2 2 2
0 0 1
2 2 0
0 2 1
2 0 0
10 4
2 2 3
0 1 0
0 0 2
3 3 1
1 1 1
2 3 0
0 2 3
2 1 3
3 1 1
1 0 3
10 3
3 0 2
2 2 2
0 1 0
1 0 1
2 3 0
2 2 3
2 0 0
3 0 3
3 0 1
1 2 0
10 5
1 2 2
1 2 0
2 0 0
0 2 2
2 0 2
0 2 0
0 1 1
2 1 0
0 2 1
1 1 0
10 3
3 3 3
2 2 3
2 3 1
0 1 0
3 2 2
1 0 3
3 3 2
3 3 1
0 2 1
2 3 3
10 4
2 3 2
3 2 0
2 1 2
3 3 3
3 3 2
2 0 1
2 1 3
0 1 2
3 1 2
0 3 2
10 9
0 1 2
2 2 0
0 1 1
1 1 1
0 2 1
0 1 0
0 0 1
1 2 2
0 0 2
0 2 2
10 4
0 2 1
0 0 0
1 2 2
0 1 2
1 0 1
1 0 0
2 0 0
1 0 2
2 1 2
0 1 1
10 2
0 2 3
0 2 1
0 2 0
2 0 1
3 0 3
1 2 0
2 3 1
1 0 2
1 0 0
1 1 1
10 8
3 1 3
2 1 2
0 0 3
3 3 3
0 3 1
3 1 2
2 2 3
2 2 0
1 1 2
2 0 0
10 5
2 3 0
1 2 3
3 3 0
2 3 3
0 3 2
3 0 3
3 3 3
1 0 0
1 3 0
1 1 2
10 7
0 0 1
2 0 0
1 1 2
0 2 0
1 2 0
0 2 2
2 1 2
0 0 2
1 0 1
2 1 0
10 2
0 0 1
1 2 1
0 1 1
1 2 0
2 0 2
2 2 2
2 1 0
2 0 1
0 2 1
0 0 2
10 5
0 2 1
1 1 0
1 2 1
1 2 2
0 2 0
2 2 2
2 1 0
1 0 0
2 2 0
1 0 2
10 5
1 1 0
0 3 1
3 1 2
3 3 1
2 2 1
0 3 3
0 0 3
2 1 1
1 3 0
3 2 0
10 6
1 3 1
3 1 1
1 1 0
3 1 0
0 2 2
3 0 3
1 0 2
1 1 1
0 1 3
0 1 2
10 8
3 1 1
1 1 0
1 0 2
3 1 3
1 2 3
3 3 1
3 0 1
3 0 3
0 2 3
1 3 0
10 9
0 0 2
2 1 1
0 3 2
1 0 1
0 0 1
0 0 0
0 2 0
1 2 2
2 3 3
0 3 0
10 7
0 2 2
1 2 0
0 1 0
1 0 1
0 0 0
1 0 0
1 0 2
1 2 2
2 2 1
2 0 2
10 3
1 3 0
2 0 3
3 3 1
0 0 1
1 3 3
0 0 0
2 1 0
2 1 2
3 0 2
1 0 1
10 3
2 3 1
0 0 2
1 2 2
1 1 2
1 3 0
2 0 3
0 2 2
1 0 3
1 3 1
3 0 1
10 2
0 0 1
0 0 2
1 0 2
0 1 2
0 2 1
2 1 1
2 2 0
2 2 1
0 2 2
2 1 2
10 6
2 0 0
0 3 1
3 3 1
2 0 1
2 2 2
3 3 2
2 0 3
2 1 2
1 0 2
3 0 0
10 6
3 1 3
3 0 1
2 1 3
2 3 1
2 0 0
2 1 2
1 2 2
0 3 2
0 2 3
1 1 0
10 6
0 1 0
2 2 3
1 2 2
2 1 1
1 3 2
0 2 1
3 3 3
3 3 0
3 2 0
3 2 2
10 9
1 1 1
1 2 0
2 1 1
1 1 0
2 2 1
0 2 1
1 2 2
2 0 0
2 0 1
0 2 2
10 4
2 3 2
0 2 0
2 2 0
0 0 2
2 3 0
3 1 2
0 1 0
0 1 3
1 1 3
1 1 2
10 9
1 2 1
1 1 0
3 2 0
3 2 2
3 3 3
2 1 3
2 3 0
2 0 2
0 2 1
3 3 0
10 8
0 0 2
0 2 1
2 0 1
1 0 1
0 0 0
2 2 2
2 0 0
0 1 2
2 1 0
0 2 0
10 9
1 2 2
0 2 2
1 2 0
0 2 1
0 1 1
1 0 0
0 0 0
2 2 1
1 2 1
0 1 2
10 3
2 2 0
0 2 2
2 2 1
2 0 2
2 2 2
2 1 0
1 2 1
0 0 1
1 1 2
1 1 0
10 4
0 1 2
1 0 0
1 0 2
0 1 0
2 2 1
0 2 1
2 2 2
1 2 0
0 0 0
1 2 2
10 6
0 1 0
1 1 2
0 1 1
2 1 2
2 2 2
1 0 1
2 0 2
0 1 2
2 1 1
1 0 0
10 7
3 2 3
0 2 1
2 3 1
2 2 1
3 1 0
2 3 0
1 3 3
1 1 2
1 2 2
2 0 3
10 2
1 2 1
2 2 1
1 1 0
2 0 1
2 1 0
2 1 2
0 0 0
0 0 1
0 2 0
0 2 1
10 7
1 1 2
1 2 2
2 2 1
2 0 1
2 1 2
1 1 1
0 0 1
1 0 0
1 0 2
2 0 2
10 8
0 2 2
2 0 1
3 3 2
0 3 2
0 2 1
0 1 0
3 2 1
3 3 1
1 1 2
2 1 1
10 8
3 2 1
3 2 2
0 1 2
2 3 3
2 2 2
3 1 2
2 2 0
0 2 0
3 3 3
2 3 1
10 9
2 2 0
2 1 1
1 1 1
0 0 2
0 2 1
2 2 2
1 2 1
0 1 2
1 1 0
0 2 2
10 7
0 1 2
2 2 2
0 0 2
2 1 1
2 2 0
1 2 1
2 0 2
1 1 2
2 2 1
1 2 2
10 4
2 2 2
0 1 3
1 2 3
0 2 3
3 1 2
2 3 1
1 1 1
2 2 0
0 2 0
1 1 0
10 3
0 3 2
1 3 2
0 2 3
0 1 3
3 2 3
0 2 2
0 1 0
1 1 3
0 0 3
1 2 3
10 6
2 1 2
3 3 0
0 0 3
3 0 1
2 0 0
1 1 1
3 2 0
2 3 3
3 2 3
1 2 1
10 2
1 1 2
2 1 0
1 1 1
1 2 0
0 1 1
2 1 1
0 2 2
1 2 1
2 2 0
0 0 2
10 2
1 0 1
2 2 2
0 0 2
2 2 1
0 0 1
0 1 2
2 1 1
1 0 0
0 2 2
1 0 2
10 5
1 1 0
0 1 1
2 0 0
0 0 0
2 2 1
0 2 2
2 1 2
2 0 2
0 1 2
2 0 1
10 9
1 2 0
0 1 1
0 2 1
2 2 1
0 2 2
2 2 2
2 0 0
2 1 2
1 2 1
2 0 2
10 5
3 0 1
0 1 3
0 2 1
3 0 2
2 0 0
2 3 0
3 3 1
0 3 1
3 2 1
1 2 0
10 5
2 2 1
1 1 0
2 2 0
2 1 1
0 2 0
2 0 2
0 0 1
2 2 2
0 2 2
0 1 0
10 6
1 2 1
1 1 1
2 2 0
2 2 1
2 0 1
1 2 0
1 1 0
2 1 0
2 2 2
0 0 2
10 2
1 2 3
3 0 1
2 1 2
2 0 3
0 1 2
1 3 0
0 0 3
2 2 2
3 0 2
3 2 2
10 8
2 2 1
1 2 0
2 1 0
0 2 0
1 1 1
1 2 2
1 0 0
2 1 1
1 2 1
0 1 1
10 8
3 0 1
1 3 3
3 1 3
2 2 1
0 2 0
2 0 3
1 1 3
1 0 2
0 0 3
1 3 0
10 3
3 1 2
3 3 1
0 1 1
1 0 3
2 3 1
2 0 2
1 1 3
1 3 2
3 3 2
0 3 1
10 2
2 0 2
1 1 0
0 2 1
0 1 0
2 2 1
2 1 0
1 1 1
2 0 1
1 2 1
0 2 2
10 9
1 2 2
3 2 1
0 3 1
2 2 1
2 0 3
1 0 2
3 0 0
0 0 2
1 0 1
1 3 2
10 4
2 0 2
2 0 3
1 0 0
0 0 1
3 0 3
2 1 0
2 1 2
3 2 3
1 0 2
1 0 3
10 9
3 2 2
1 3 2
2 1 2
1 1 1
0 1 3
0 0 1
0 1 0
2 3 0
1 2 1
0 0 2
10 2
1 2 1
2 1 2
3 2 0
0 0 3
0 2 3
0 3 3
0 1 3
1 0 2
2 3 3
0 3 2
10 3
2 2 3
1 3 3
1 1 0
1 2 1
1 0 1
3 0 0
1 0 3
0 3 3
2 0 3
2 3 3
10 4
3 2 1
2 1 3
1 1 0
1 3 0
0 2 3
3 1 2
2 2 2
3 3 3
1 0 3
0 0 3
10 8
2 2 0
1 0 1
2 0 2
1 1 1
2 1 0
0 2 1
1 1 0
1 2 1
1 2 0
2 1 1
10 6
2 0 2
1 0 2
2 0 1
0 0 0
0 0 2
2 2 0
0 1 2
2 2 2
1 2 0
2 1 1
10 6
2 3 1
3 3 0
3 2 1
2 0 2
1 3 0
2 3 0
1 0 0
3 1 1
2 0 3
1 2 2
10 8
2 2 1
1 2 2
2 1 0
1 0 1
0 2 0
0 2 1
2 0 0
1 1 1
2 2 2
1 0 0
10 9
3 1 1
1 1 0
2 2 3
1 1 3
2 3 2
1 0 0
1 0 1
1 1 1
3 0 1
3 0 2
10 9
1 0 2
0 2 2
0 2 1
2 2 2
1 1 2
0 1 2
1 2 0
1 0 0
1 2 1
2 1 1
10 7
1 2 1
0 0 2
0 2 2
2 0 2
0 0 1
0 2 1
0 1 2
1 2 0
1 1 1
0 2 0
10 8
0 1 0
2 1 0
2 0 1
1 1 1
0 0 2
1 2 1
1 0 2
1 2 0
2 2 0
2 0 0
10 2
1 0 0
0 2 2
1 2 2
0 0 1
0 1 0
2 2 0
0 2 0
0 1 1
2 2 1
0 2 1
10 3
0 3 0
2 0 3
1 0 1
1 1 3
2 2 0
3 0 3
0 1 2
0 2 3
2 1 2
1 3 3
10 9
0 3 3
1 1 2
0 1 3
3 0 2
3 1 2
1 2 3
2 0 1
1 1 1
2 3 3
3 3 3
10 9
2 3 3
3 1 3
2 0 1
0 3 2
1 0 3
1 1 3
2 1 3
3 2 1
0 3 3
0 3 0
10 3
3 1 3
1 2 0
1 0 2
2 2 2
3 3 0
3 2 2
0 3 0
0 3 2
2 1 3
2 0 1
10 5
1 3 3
2 3 3
3 0 1
2 0 1
0 1 3
3 1 3
1 3 1
0 0 3
2 3 1
1 0 2
10 6
1 2 0
1 1 2
1 2 1
1 0 0
0 1 2
0 0 0
2 1 2
2 2 2
2 1 1
1 1 1
10 3
2 2 2
1 1 2
1 0 2
2 1 1
1 1 0
0 0 1
0 0 0
1 1 1
2 2 0
1 2 2
10 8
1 0 2
1 2 0
1 1 2
2 2 2
0 3 1
3 3 0
3 0 1
3 0 3
3 1 3
3 3 1
10 9
3 0 0
0 3 3
0 0 1
1 0 2
0 2 0
3 2 3
1 1 0
3 1 2
1 3 0
1 0 3
10 6
2 1 1
0 1 1
2 1 2
2 0 0
1 1 0
0 0 1
2 0 2
0 0 2
2 2 0
1 1 1
10 8
0 2 1
0 1 0
0 2 0
1 0 1
1 0 0
0 2 2
2 0 0
2 1 0
2 0 1
1 1 0
10 4
0 0 0
1 2 1
1 0 2
1 2 2
2 0 0
0 1 1
2 0 1
2 1 1
0 2 0
0 2 2
10 9
0 3 3
1 1 3
2 3 3
0 0 2
0 1 1
3 2 3
3 3 2
0 3 2
3 1 1
0 1 0
10 4
0 0 0
2 0 1
1 0 2
0 2 2
1 2 2
2 2 1
2 1 2
2 2 2
2 2 0
2 0 0
10 2
3 1 1
1 2 1
0 3 3
0 1 0
1 0 2
2 2 0
3 3 0
0 2 2
1 1 1
3 2 2
10 3
0 2 0
2 1 1
3 1 3
0 1 3
0 0 3
1 0 3
0 3 3
0 3 1
2 0 1
3 2 0
10 2
3 0 2
2 2 1
0 3 1
3 2 1
3 1 0
0 0 0
2 1 0
0 3 3
0 1 2
3 1 2
10 6
1 2 2
0 0 0
0 2 0
0 2 1
2 0 0
2 0 2
0 2 2
1 1 0
1 0 2
1 0 0
10 7
0 2 2
0 1 3
0 2 0
2 3 3
0 0 1
0 3 2
3 1 1
1 2 3
1 0 2
0 2 3
10 4
2 1 0
1 0 0
0 2 0
2 2 0
2 0 2
0 1 0
1 2 2
0 2 2
2 0 0
1 2 0
10 2
2 3 2
1 2 1
2 0 3
2 1 0
3 1 0
0 0 2
1 3 3
3 2 0
1 2 2
0 1 0
10 3
1 1 0
1 2 0
1 1 1
2 2 0
1 2 1
0 1 2
0 1 0
1 0 2
1 0 0
0 2 1
10 9
0 2 0
3 2 1
1 0 3
2 1 2
1 3 3
1 2 3
1 3 2
1 2 2
2 2 0
0 3 1
10 7
3 1 2
1 0 3
1 3 1
2 2 1
0 1 2
1 1 2
1 1 0
1 0 1
2 1 3
3 3 3
10 4
1 0 1
1 2 2
0 1 1
0 1 2
0 3 0
2 1 1
2 1 2
3 2 1
3 3 0
0 0 3
10 9
2 1 1
0 0 2
0 1 0
2 2 2
1 0 1
2 0 0
0 2 2
0 1 1
2 2 0
1 0 0
10 9
1 0 1
1 0 0
1 2 0
2 1 1
1 2 2
0 0 0
2 2 2
2 1 0
0 2 2
2 0 0
10 3
2 2 2
1 1 2
1 2 1
2 2 1
2 1 2
0 2 0
1 2 2
0 2 1
0 0 2
0 0 1
10 3
0 2 0
1 0 1
1 1 1
2 1 2
2 1 1
1 0 2
2 1 0
0 1 2
0 0 0
1 1 0
10 9
0 2 1
2 0 0
0 2 2
3 3 2
3 0 1
1 2 0
2 1 2
3 2 0
3 3 3
3 2 3
10 9
2 0 3
0 2 1
3 3 2
2 1 1
3 0 2
0 3 0
0 2 3
0 3 3
3 2 2
1 3 0
10 9
1 2 0
3 0 2
1 0 1
0 1 1
1 3 1
1 0 3
1 1 1
2 3 3
3 3 1
0 1 3
10 6
1 2 0
0 1 1
2 2 0
1 1 1
1 1 0
2 1 2
1 1 2
0 0 2
2 2 2
2 1 1
10 3
3 1 1
1 0 3
2 2 1
2 3 3
1 1 1
0 2 2
2 3 1
1 2 3
1 2 0
0 3 1
10 9
2 2 2
2 3 2
2 1 1
0 1 2
0 1 0
2 0 3
2 3 1
3 1 2
1 3 3
1 1 0
10 9
3 2 0
0 2 2
0 0 2
0 0 0
1 2 1
1 3 3
3 3 1
3 3 0
1 1 3
1 0 0
10 9
0 1 2
1 1 0
1 2 1
1 1 2
0 2 1
0 0 1
1 1 1
2 0 0
0 1 1
1 2 2
10 6
0 1 2
1 3 3
2 0 2
0 0 0
3 2 3
2 1 3
2 2 3
1 0 3
2 3 2
0 2 3
10 6
2 0 2
2 0 0
3 1 2
0 3 1
1 0 3
3 3 0
1 1 0
0 1 2
2 0 3
2 1 2
10 8
3 1 3
2 2 0
2 2 2
2 0 0
1 3 0
3 0 3
1 0 1
0 0 2
3 0 2
1 0 3
10 7
1 1 0
2 2 2
0 1 1
2 1 2
1 2 1
0 0 0
1 0 1
1 2 2
0 2 2
2 0 0
10 8
0 0 0
1 0 2
0 2 1
2 0 1
0 2 2
2 1 2
2 2 1
2 2 0
2 2 2
0 0 2
10 8
3 1 0
1 1 0
1 3 1
0 0 2
1 0 2
1 3 3
0 2 2
3 0 1
2 3 1
0 2 1
10 9
0 2 0
1 2 2
2 0 2
2 1 2
0 1 0
1 0 2
2 2 2
1 0 1
0 2 2
1 1 2
10 4
2 1 0
1 3 3
1 1 1
0 1 1
3 3 0
2 3 0
2 0 1
0 2 3
1 0 1
2 3 2
10 2
1 2 2
0 1 0
3 2 2
3 2 0
2 2 1
0 3 3
2 1 3
2 3 1
3 0 0
1 0 0
10 3
1 1 0
3 0 0
2 3 3
2 2 0
0 0 3
1 3 2
2 0 0
1 1 1
1 3 3
2 0 2
10 8
0 1 2
0 1 1
2 1 0
0 1 0
1 0 2
0 0 0
1 2 2
2 0 1
0 0 1
0 0 2
10 5
1 1 1
2 1 0
0 0 0
1 0 1
1 2 2
0 2 1
2 2 0
1 2 1
2 2 2
2 0 0
10 4
1 3 1
3 0 2
1 2 1
2 1 0
3 2 0
2 1 2
3 1 3
2 3 3
2 0 3
0 1 2
10 4
2 2 3
2 3 2
2 1 3
3 1 0
0 0 0
3 1 1
2 3 1
1 1 1
0 2 2
0 3 3
10 6
2 2 0
0 2 2
2 1 2
1 0 0
1 2 0
0 2 1
2 1 1
0 0 0
0 1 0
2 2 1
10 2
1 0 2
0 1 2
0 0 2
0 1 1
0 0 0
0 2 1
2 0 1
2 2 0
1 0 0
0 0 1
10 5
2 1 2
2 0 0
2 2 2
1 0 0
0 1 1
0 0 1
1 1 2
1 2 2
0 2 1
2 0 2
10 5
1 1 0
0 0 0
2 0 2
0 2 0
0 0 1
0 1 1
1 1 1
1 0 1
0 2 1
1 2 0
10 3
0 2 0
0 2 2
2 2 0
1 0 1
2 2 2
2 0 2
2 2 1
1 1 0
2 1 2
2 1 1
10 4
2 0 1
2 0 2
2 2 2
0 0 2
1 2 1
2 1 1
0 2 2
2 1 2
0 0 0
2 2 0
10 4
3 0 3
1 2 2
3 3 3
0 2 0
3 1 1
0 2 3
0 3 1
0 1 2
1 0 0
3 0 0
10 6
1 2 2
0 2 2
2 0 0
0 0 1
1 2 1
1 1 0
2 0 2
0 1 2
0 2 1
0 1 0
10 4
0 0 1
0 1 2
1 0 1
2 2 0
2 0 2
2 1 0
1 2 2
1 2 1
1 2 0
0 1 1
10 5
2 1 1
0 2 1
2 2 1
2 2 0
0 2 2
0 0 0
2 1 2
0 2 0
0 1 1
2 1 0
10 6
1 2 1
2 0 2
1 1 0
1 0 0
0 1 0
2 2 0
0 0 1
0 2 1
1 1 2
2 1 0
10 3
3 0 3
2 3 3
0 2 3
0 1 3
2 3 1
1 1 0
1 0 1
1 0 3
3 3 3
2 2 1
10 3
0 0 0
2 2 0
2 0 2
2 1 1
0 2 2
2 1 0
1 1 0
1 0 2
0 1 1
2 0 0
10 7
3 0 2
2 2 3
2 3 2
2 3 1
0 3 0
3 3 3
3 0 3
1 3 3
2 3 3
2 2 2
10 8
2 1 2
2 2 1
0 1 1
0 0 0
1 0 0
0 2 0
1 1 1
1 2 2
1 1 0
2 2 2
10 8
2 0 2
0 0 1
1 0 0
1 2 1
0 0 2
1 1 1
1 0 1
2 1 0
0 2 1
2 2 2
10 7
2 1 3
1 2 0
0 3 0
2 2 1
3 2 2
3 3 3
2 1 2
3 0 3
0 3 3
2 3 1
10 6
1 2 3
0 1 2
1 3 0
0 1 3
0 0 2
2 2 2
3 3 0
0 1 0
3 3 3
3 0 0
10 7
2 1 1
0 0 2
1 1 0
2 2 0
1 1 2
2 2 2
1 2 2
2 1 2
1 0 0
2 0 2
10 4
1 0 1
2 3 0
1 0 2
2 0 2
3 2 2
2 3 3
0 1 2
1 0 0
1 3 1
1 1 2
10 3
0 0 1
1 1 3
1 0 2
3 1 3
0 3 2
0 2 1
2 0 2
0 2 2
0 1 0
1 0 0
10 9
1 3 3
0 0 3
1 1 0
3 1 3
0 2 1
2 2 0
3 2 3
0 0 1
2 3 1
1 0 3
10 3
1 1 2
0 1 2
2 0 0
0 2 1
0 2 0
2 1 1
0 0 1
0 1 0
1 0 1
0 0 2
10 9
0 0 2
1 2 1
1 2 0
0 1 0
2 1 1
0 0 1
0 1 1
2 0 2
0 2 0
0 2 1
10 7
3 0 1
2 3 3
2 0 1
1 3 1
0 1 1
1 3 3
0 0 0
0 2 2
0 1 0
3 3 0
10 3
0 1 0
0 0 1
2 2 2
1 0 2
2 1 2
1 1 2
1 2 1
2 2 1
2 1 1
2 2 0
10 3
1 2 2
1 2 1
2 2 1
0 2 1
2 2 0
0 2 2
0 0 2
0 1 0
1 0 2
1 0 1
10 3
1 1 1
3 2 0
2 2 1
1 2 1
3 3 1
0 0 1
3 3 2
0 2 3
1 0 1
0 1 3
10 3
2 2 0
2 1 1
1 1 0
0 1 0
0 1 1
1 2 2
2 0 1
0 1 2
0 2 0
0 0 1
10 5
2 2 0
1 3 1
1 0 0
0 0 1
3 1 1
2 3 0
0 3 1
0 1 2
3 1 2
0 3 3
10 6
2 3 2
0 1 1
3 0 0
3 2 1
2 0 3
2 1 3
2 3 0
1 2 3
0 0 2
0 0 1
10 5
1 1 2
0 0 2
1 2 1
1 2 0
0 2 1
2 2 2
2 2 0
2 2 1
0 1 2
1 0 1
10 5
1 1 0
2 1 1
0 0 0
2 1 2
2 2 2
1 2 1
0 1 1
1 0 1
2 0 1
2 0 2
10 9
2 2 1
1 1 0
2 1 1
0 2 0
0 1 1
0 0 0
2 0 1
1 2 1
1 1 1
2 0 2
10 8
1 1 1
0 3 1
0 0 1
2 0 1
1 0 1
3 1 0
2 1 3
0 0 2
3 1 3
3 3 0
10 7
1 0 3
2 1 0
1 0 1
0 1 2
1 0 2
3 2 2
3 1 0
3 2 1
3 2 3
1 1 2
10 6
0 0 2
1 0 0
0 2 3
0 1 0
1 0 1
1 2 1
2 1 1
1 1 0
2 1 0
0 2 0
10 9
0 0 2
1 2 1
1 1 0
0 2 2
0 1 0
1 2 2
1 1 2
1 2 0
2 1 2
2 2 0
10 5
2 1 3
0 3 0
3 3 0
3 1 2
3 1 1
2 2 0
3 2 2
0 0 2
2 2 1
0 0 0
10 4
1 1 1
1 2 2
1 1 0
2 2 0
0 2 2
0 2 1
2 0 1
1 1 2
2 1 2
2 2 1
10 6
0 0 0
2 2 2
1 2 0
2 1 2
2 0 1
0 1 2
2 1 0
0 2 1
0 1 0
2 2 1
10 5
1 0 2
1 0 1
1 1 2
1 0 0
0 2 0
0 0 2
0 2 1
0 1 2
0 1 1
1 1 0
10 7
0 1 1
2 1 0
1 2 1
0 2 1
2 1 2
0 2 0
2 0 0
1 0 0
2 0 1
1 2 0
10 4
0 2 0
0 1 1
0 2 2
0 1 2
2 2 2
2 0 0
1 1 0
0 1 0
1 0 1
0 0 1
10 4
0 1 2
1 0 0
2 1 2
2 1 1
2 2 0
0 2 2
1 2 1
0 0 1
1 1 2
2 2 1
10 4
2 0 2
0 1 0
1 0 1
1 2 0
2 2 2
0 2 1
0 1 2
1 2 1
0 0 0
1 0 0
10 7
0 2 0
2 1 1
1 1 0
1 0 1
2 1 0
1 2 2
0 2 1
0 2 2
1 2 1
1 1 2
10 5
2 1 0
2 0 1
2 1 1
1 0 0
1 1 1
1 0 2
1 1 2
2 0 2
0 1 0
0 2 1
10 8
2 1 2
3 0 0
3 2 0
3 3 2
0 1 1
2 3 1
0 3 0
2 2 3
0 1 0
3 0 3
10 6
2 3 1
0 3 0
1 3 0
0 0 0
0 1 0
0 3 1
3 2 3
3 2 1
0 2 0
2 2 3
10 5
2 3 0
1 1 2
2 2 1
2 0 0
1 2 0
0 2 2
0 0 2
1 3 2
1 0 0
0 2 0
10 5
2 1 2
2 2 0
1 1 1
3 0 0
3 2 1
1 3 1
1 3 0
1 0 0
3 2 3
3 1 2
10 2
3 1 3
1 2 0
1 1 2
1 0 2
0 3 1
2 1 1
3 1 2
2 0 1
0 1 1
0 1 0
10 8
3 1 1
0 2 2
3 3 2
0 0 0
3 2 2
1 3 3
2 0 2
1 0 3
0 2 3
1 3 1
10 7
2 1 1
0 2 2
3 2 3
1 3 0
2 1 3
3 0 2
2 1 2
0 0 1
0 3 3
0 2 1
10 3
1 2 0
3 0 1
1 2 3
3 1 2
0 2 2
3 2 0
3 2 3
1 1 3
0 2 3
2 2 1
10 5
0 1 1
1 1 0
1 2 0
1 0 1
0 1 0
1 0 0
0 0 0
2 0 0
2 1 0
1 2 2
10 5
2 3 3
3 1 2
2 1 1
1 3 0
1 1 3
0 2 2
2 0 1
2 1 2
2 2 0
3 3 0
10 4
1 2 0
0 1 2
2 0 2
3 1 2
1 3 2
2 3 0
3 3 2
3 1 3
3 2 2
0 3 2
10 2
1 2 0
2 1 3
3 0 3
2 3 0
3 2 1
1 2 1
2 3 1
0 3 0
0 2 1
0 0 3
10 6
2 3 2
1 2 2
0 1 0
1 2 3
1 1 2
1 0 0
0 0 0
0 0 2
1 3 2
0 3 1
10 2
0 0 3
1 3 2
3 1 0
2 3 1
2 0 0
2 2 3
2 1 1
0 3 3
3 2 2
1 3 3
10 8
2 1 2
1 3 3
1 1 0
0 3 2
3 1 3
0 3 0
3 3 1
1 2 2
1 0 0
3 0 3
10 4
2 2 0
3 3 1
2 2 3
2 1 3
0 2 3
1 0 1
3 1 0
0 2 2
0 2 1
0 0 1
10 6
2 0 0
1 0 2
1 1 0
1 2 0
0 2 2
1 2 2
2 2 1
0 0 0
0 0 1
1 0 0
10 9
0 0 3
0 0 1
1 3 0
0 2 2
3 3 2
1 2 1
3 0 0
3 2 2
3 1 3
1 3 1
10 8
1 2 1
2 2 1
0 0 1
1 0 1
0 0 0
1 0 0
2 1 2
1 1 0
2 0 2
2 0 1
10 6
1 2 0
2 3 1
0 3 0
2 2 0
1 3 1
1 1 3
2 2 3
2 2 1
0 1 3
1 3 3
10 3
2 1 2
1 2 2
1 1 0
2 2 1
0 1 2
0 0 1
2 1 0
1 1 1
1 0 0
1 2 1
10 5
1 1 2
1 0 1
2 3 3
0 3 2
1 3 0
2 2 2
0 2 0
0 2 2
1 3 1
3 0 1
10 9
1 2 0
2 1 1
1 1 0
2 2 2
1 0 2
2 0 0
0 2 1
1 1 2
1 0 1
2 2 1
10 5
2 1 3
0 3 3
3 1 3
1 2 2
1 0 3
2 3 2
2 1 1
1 1 3
3 1 2
0 1 0
10 3
0 1 2
1 2 2
1 0 2
0 1 0
0 1 1
1 1 1
1 2 1
1 2 0
2 0 1
2 0 2
10 5
0 2 2
1 2 1
2 0 2
2 1 1
0 1 1
0 2 1
2 0 0
0 1 2
0 2 0
2 2 2
10 9
0 2 1
1 0 0
1 0 2
0 1 2
2 0 0
1 2 1
1 0 1
2 1 1
2 2 2
2 1 0
10 8
2 0 0
3 2 0
3 2 1
2 0 3
3 0 3
1 3 1
2 1 1
2 3 3
2 2 2
3 1 0
10 9
1 0 1
1 1 2
1 2 0
2 2 0
1 0 2
2 0 1
1 0 0
2 1 2
0 0 0
0 1 2
10 6
2 2 3
1 3 3
1 3 0
2 2 0
3 2 1
2 3 1
0 2 2
3 3 2
1 0 0
1 1 2
10 6
1 0 3
2 1 2
0 3 2
3 1 2
0 3 1
1 0 0
1 1 0
0 1 1
2 0 3
1 2 1
10 8
0 2 0
2 1 0
3 3 3
2 0 0
3 0 2
3 3 0
2 2 3
2 2 0
1 0 1
1 0 0
10 6
1 2 1
2 1 2
0 0 1
2 0 2
0 2 1
0 1 0
2 1 0
2 0 1
1 1 2
2 0 0
10 5
1 1 0
1 0 1
0 1 0
0 2 2
0 0 2
0 1 2
2 1 0
0 2 0
2 0 2
0 0 1
10 8
0 0 2
1 0 1
1 1 0
2 1 2
0 0 1
1 2 2
2 2 2
2 2 0
1 1 1
2 1 1
10 6
2 1 0
0 0 2
1 0 2
2 1 2
1 2 0
2 2 0
1 1 0
2 0 1
1 2 2
0 1 2
10 4
0 1 1
2 1 2
2 1 0
0 2 2
1 1 2
2 2 2
1 1 1
0 0 0
0 0 2
1 0 0
10 4
2 3 3
1 3 2
1 3 1
0 1 0
3 3 3
1 0 1
3 1 3
0 2 1
3 3 1
2 2 1
10 8
2 0 1
0 0 0
0 2 2
0 2 1
2 1 2
0 2 0
2 0 2
0 0 1
0 1 0
1 2 1
10 8
0 1 2
3 3 1
2 2 2
3 0 1
1 1 3
1 3 0
1 0 3
2 0 0
0 0 1
0 0 2
10 5
2 2 2
2 1 2
0 1 1
1 1 1
2 1 1
1 0 2
0 1 2
2 2 1
1 2 0
1 2 2
10 9
2 3 2
2 0 3
0 3 3
1 3 3
0 0 0
3 1 1
3 3 0
0 1 0
0 1 2
0 0 3
10 8
0 1 0
2 1 1
1 0 2
1 1 0
0 3 3
3 2 1
3 1 2
3 2 3
2 0 1
3 1 3
10 2
2 0 0
3 3 0
1 3 0
2 0 3
3 2 0
3 0 0
0 2 2
1 0 2
3 2 1
2 2 0
10 2
3 1 0
0 1 2
0 2 1
2 3 1
0 2 0
0 0 0
2 1 1
1 1 1
3 3 3
2 2 3
10 8
2 1 1
1 2 2
0 2 0
0 2 2
2 0 0
2 2 1
1 0 0
0 1 2
1 0 1
0 1 1
10 5
3 1 2
2 1 3
0 2 2
2 3 2
2 0 0
0 3 1
0 2 3
3 2 3
0 0 1
3 2 1
10 4
0 1 1
2 2 0
1 1 1
2 1 2
0 0 0
0 2 0
1 1 0
0 1 0
2 2 2
2 1 0
10 9
1 2 2
2 2 0
1 0 0
2 1 2
1 0 2
2 2 2
1 1 2
0 0 1
2 0 2
1 2 1
10 7
2 0 1
0 1 3
3 2 2
3 1 3
2 3 0
2 3 3
3 1 2
3 0 1
0 2 3
2 1 0
10 2
2 0 0
1 2 3
2 1 2
3 3 2
1 1 3
2 3 2
0 0 3
2 2 2
2 1 3
2 0 1
10 3
1 2 1
2 2 1
2 0 1
2 1 1
1 1 1
2 1 0
2 1 2
0 0 1
0 0 2
0 1 2
10 7
1 2 0
1 1 2
1 2 1
2 2 2
0 1 1
0 1 0
2 1 2
0 0 1
0 0 2
2 0 0
10 9
1 0 2
0 1 1
2 1 0
2 1 2
2 0 2
0 1 2
1 0 0
1 1 0
1 2 0
1 2 2
10 5
1 1 1
0 1 1
2 3 3
0 2 3
3 3 0
3 1 1
0 1 3
2 1 3
2 0 3
0 3 0
10 6
2 0 2
3 1 3
2 0 1
1 1 1
3 3 1
0 3 0
3 1 0
1 2 0
2 2 3
2 2 2
10 2
1 2 2
1 2 0
1 1 0
1 1 2
0 2 2
0 0 1
0 1 2
0 1 0
2 2 0
2 1 0
10 2
0 2 0
1 2 1
2 1 0
2 2 2
0 2 1
0 0 1
1 1 1
0 1 2
2 0 0
1 1 2
10 2
2 1 2
2 2 1
2 1 0
2 2 0
0 1 1
2 0 0
0 2 0
2 1 1
0 0 2
1 1 1
10 6
1 2 0
2 0 2
0 2 2
1 1 2
1 1 0
2 1 2
1 1 1
0 2 1
0 2 0
0 0 1
10 2
0 3 2
1 0 1
1 2 1
3 1 2
0 1 3
2 2 0
0 1 2
1 3 2
2 3 3
0 3 1
10 9
1 1 0
2 1 2
1 0 0
2 2 2
0 0 2
2 1 1
1 2 0
0 2 2
1 2 2
2 2 0
10 7
1 2 2
2 1 2
0 0 2
1 1 0
2 2 0
2 0 2
2 2 1
1 0 2
1 0 0
1 2 1
10 8
0 0 2
1 0 2
2 2 1
2 1 2
1 0 1
0 1 0
2 0 0
1 0 0
0 1 2
0 2 2
10 4
0 3 1
2 0 0
3 3 1
0 1 1
3 1 3
0 0 1
1 1 2
3 1 0
2 1 0
1 0 3
10 3
3 2 0
2 1 3
3 2 2
0 3 2
0 0 1
3 0 3
3 3 3
3 2 1
3 1 3
1 0 1
10 2
2 3 3
3 0 2
1 3 3
0 1 2
1 2 2
0 0 3
2 2 0
1 0 3
2 2 2
1 2 3
10 9
0 2 1
2 2 2
2 0 2
1 2 1
1 2 0
0 0 0
2 1 0
2 0 1
1 1 0
2 2 0
10 8
0 1 2
1 0 1
1 2 3
3 0 2
2 0 3
3 1 2
2 1 1
0 1 3
0 2 3
3 0 3
10 4
2 1 0
0 3 1
2 0 3
2 0 2
2 2 0
3 3 2
1 1 2
1 2 0
2 2 1
0 1 1
10 2
1 1 1
0 2 2
2 0 2
3 0 2
2 1 1
1 0 1
1 3 2
3 3 1
1 0 2
2 1 3
10 7
0 2 0
1 1 0
1 1 1
1 2 2
1 1 2
2 0 0
2 1 2
0 0 1
2 1 1
1 2 0
10 5
1 2 1
1 1 1
1 2 0
0 0 2
1 0 1
1 2 2
2 0 2
0 0 1
2 0 1
2 0 0
10 7
0 1 0
2 2 0
1 2 2
1 2 0
2 1 0
0 0 0
1 0 2
2 0 0
0 2 2
0 2 0
10 2
0 0 1
0 1 2
2 0 0
1 2 0
1 2 2
0 2 1
2 0 2
0 1 0
2 2 0
1 0 0
10 5
2 0 2
3 2 3
3 3 1
2 0 0
2 2 0
2 0 3
1 0 2
0 0 0
1 1 2
1 1 0
10 9
1 2 3
2 2 3
0 0 1
0 2 2
0 3 3
1 1 2
3 0 2
2 3 3
2 3 1
3 1 0
10 5
1 1 1
3 1 3
2 2 2
3 0 1
0 2 2
3 1 2
3 3 1
2 3 0
1 3 0
0 1 3
10 2
1 0 2
1 2 2
0 0 2
2 2 0
0 1 2
2 0 0
1 1 2
1 0 1
2 2 1
1 0 0
10 7
2 0 0
1 1 1
0 0 0
1 2 2
2 2 1
2 1 0
0 2 0
1 2 0
0 2 2
0 2 1
10 3
2 2 3
2 3 3
0 3 0
3 3 1
0 1 2
2 0 3
1 0 0
0 3 3
3 2 1
0 2 3
10 5
2 1 0
0 0 1
1 1 1
0 2 2
1 2 1
2 1 1
0 2 0
2 1 2
2 2 2
2 0 2
10 7
1 2 1
3 2 2
3 0 0
3 0 2
0 3 3
1 0 1
3 3 3
1 3 2
1 3 0
3 2 3
10 4
1 0 0
2 2 3
3 2 2
1 3 1
1 0 2
3 3 2
0 1 3
2 2 2
2 1 0
2 1 3
10 3
3 0 2
1 1 1
3 1 2
3 2 0
2 3 0
1 3 2
1 3 1
2 1 2
1 0 0
3 3 1
10 7
2 1 3
0 2 1
0 0 2
1 3 3
3 1 3
3 0 1
1 2 1
3 3 2
1 1 3
2 1 1
10 8
0 1 1
0 2 0
2 1 2
2 0 0
0 0 0
1 2 2
0 2 2
2 2 0
1 1 0
2 0 2
10 3
1 0 1
2 0 0
2 0 1
1 0 0
1 0 2
1 2 1
0 0 1
0 1 2
2 0 2
0 2 2
10 9
1 2 1
0 0 2
2 0 1
2 1 1
2 0 0
2 2 2
0 2 0
2 1 2
0 0 0
1 0 0
10 7
0 0 1
1 0 1
2 0 1
1 1 2
2 2 2
1 0 0
2 1 1
2 1 0
0 2 1
1 2 1
10 7
3 3 1
1 0 1
2 0 3
2 3 2
2 0 0
0 1 2
3 1 1
1 3 3
3 0 3
0 2 0
10 9
1 3 3
0 1 1
0 2 3
1 1 0
1 0 0
1 2 2
2 2 1
2 3 0
2 0 0
1 2 0
10 2
2 1 3
0 1 1
2 2 3
1 0 1
1 0 2
2 0 2
2 2 0
2 2 1
3 1 3
1 2 3
10 6
0 1 2
2 1 3
2 3 1
1 1 3
0 3 3
3 0 2
1 2 2
2 2 0
0 1 0
1 1 0
10 6
2 1 1
3 2 1
0 0 3
2 2 0
3 2 3
1 3 0
1 1 0
0 2 2
2 2 1
2 3 1
10 7
1 2 2
1 1 0
2 0 0
1 2 1
1 2 0
0 2 2
2 2 2
0 2 0
0 0 2
2 2 0
10 2
1 0 2
3 0 3
0 2 3
3 2 1
3 3 2
0 0 3
0 2 1
2 0 1
0 2 0
0 1 3
10 8
1 0 2
1 1 1
1 2 1
1 0 0
2 1 2
0 2 1
0 0 1
0 1 1
1 2 0
2 0 0
10 5
3 1 2
0 2 3
2 1 1
3 0 1
2 1 0
3 0 2
2 3 2
1 1 2
0 3 0
1 3 2
10 2
2 3 3
1 1 2
2 1 3
3 1 2
1 3 3
1 1 3
2 2 0
3 1 1
0 0 0
1 0 0
10 8
2 1 1
0 1 0
2 0 1
2 0 2
1 0 2
0 1 2
2 2 0
1 2 2
1 2 0
1 2 1
10 8
0 1 0
0 0 0
1 1 2
0 2 1
2 1 0
0 0 2
1 1 1
0 1 2
1 2 0
0 2 2
10 6
2 0 1
0 0 1
1 2 1
1 2 2
2 2 1
0 2 2
1 0 0
0 1 1
2 0 2
0 1 2
10 8
1 0 1
0 1 2
2 0 2
1 1 2
2 1 0
2 0 0
1 0 0
2 2 2
1 2 2
1 2 0
10 7
1 0 1
2 2 2
2 2 0
0 2 0
1 1 2
1 2 1
0 0 1
0 1 2
1 0 2
0 0 0
10 9
2 3 2
1 1 1
2 1 3
2 3 1
0 3 2
0 2 0
0 2 2
2 2 0
0 1 3
1 0 1
10 4
0 0 1
0 2 0
2 1 0
0 2 1
3 2 2
1 2 0
1 1 3
3 1 1
3 2 0
3 1 0
10 3
1 0 3
3 1 3
1 3 3
3 2 3
2 2 3
3 3 1
2 0 0
1 0 2
2 3 3
0 2 0
10 5
0 3 3
1 1 2
2 1 3
3 3 3
1 3 3
0 3 1
1 1 3
2 0 1
1 2 0
1 0 3
10 4
0 3 1
0 3 3
3 1 3
3 2 1
0 2 0
3 0 0
2 1 2
2 3 0
0 2 1
2 3 2
10 6
0 2 0
2 0 2
1 0 1
1 0 0
1 2 1
0 2 2
1 2 2
2 0 1
0 2 1
1 2 0
10 7
2 1 0
1 1 0
2 2 1
0 1 1
2 2 2
2 2 0
1 2 2
2 1 1
0 1 0
0 0 0
10 6
0 2 0
1 0 1
2 3 2
3 0 2
3 2 1
0 0 1
1 1 0
2 0 1
3 1 0
3 0 3
10 3
0 3 1
3 1 0
2 2 3
0 1 3
3 3 1
1 3 1
2 0 3
0 2 2
1 2 3
2 0 2
10 9
1 1 2
2 1 0
2 0 2
1 0 2
0 1 0
2 2 0
0 0 2
2 0 0
1 2 0
0 0 1
10 6
2 2 2
1 0 2
1 1 1
1 2 0
0 1 0
1 0 0
1 2 2
2 0 2
1 2 1
0 2 2
10 9
2 1 0
1 0 1
1 0 0
0 1 2
0 1 0
2 1 2
0 0 2
2 0 0
2 0 2
2 2 1
10 7
1 3 3
2 2 2
3 2 1
2 1 0
3 0 3
1 1 2
0 0 1
1 1 1
1 2 0
3 1 1
10 9
2 0 1
2 1 0
0 2 0
0 1 1
2 2 2
1 2 1
0 0 2
2 2 0
1 0 0
0 2 1
10 6
3 1 1
0 1 1
1 0 3
2 3 3
0 3 0
1 1 2
0 1 0
0 2 3
1 2 2
2 2 1
10 5
2 2 2
0 0 1
2 2 1
1 1 2
1 1 0
2 1 2
1 0 1
0 1 0
1 0 2
0 2 1
10 9
3 0 1
2 1 1
3 3 1
1 2 2
3 1 1
1 1 3
0 1 2
0 2 3
1 3 0
1 2 0
10 6
1 2 0
0 1 0
0 1 2
0 2 1
1 1 2
1 0 2
2 2 1
2 1 2
0 1 1
1 2 1
10 7
0 0 2
2 1 2
2 1 0
2 2 1
0 2 2
1 1 2
1 2 0
0 1 1
2 1 1
0 1 2
10 4
0 3 2
0 2 1
0 2 3
2 1 1
1 3 0
2 1 2
1 1 0
1 2 3
3 3 2
2 0 1
10 2
2 1 1
1 2 1
0 0 2
0 2 2
2 2 0
1 1 1
2 2 1
1 2 2
1 0 0
1 1 2
10 5
3 1 3
0 3 3
2 1 3
2 1 1
3 0 2
2 2 2
1 1 3
2 2 0
1 0 0
2 2 3
10 4
2 2 1
1 2 1
1 0 1
0 1 0
0 2 1
3 2 2
2 1 2
0 3 2
0 0 1
1 3 2
10 5
0 0 0
0 1 2
1 1 2
2 3 0
1 3 0
0 2 3
3 3 1
1 1 0
2 2 0
2 3 1
10 7
1 0 2
1 2 2
0 2 1
2 2 1
2 0 0
2 1 1
1 1 0
0 0 1
2 1 2
2 2 2
10 6
2 1 0
1 1 2
0 2 2
1 1 0
1 0 2
0 1 0
0 2 1
1 2 2
0 2 0
2 0 1
10 3
2 0 0
2 1 0
2 0 3
1 0 3
2 0 2
1 1 2
2 1 1
3 0 0
2 1 2
1 0 0
10 8
2 3 2
0 1 2
1 2 2
1 0 1
0 0 3
2 0 1
0 2 3
3 0 3
2 3 0
2 3 1
10 9
2 3 1
1 2 0
3 2 3
1 0 2
3 3 0
3 3 1
3 0 1
3 0 0
2 2 1
2 1 1
10 3
2 0 1
1 1 1
0 0 1
2 1 0
1 2 0
2 0 0
0 2 0
2 2 1
2 1 1
1 2 2
10 3
0 0 1
0 1 2
3 1 1
1 2 1
1 0 3
1 0 2
0 0 3
1 3 3
0 2 3
3 1 2
10 5
0 2 1
0 2 2
3 0 3
1 3 1
1 1 0
0 3 1
3 2 0
0 0 3
3 1 1
2 2 3
10 9
2 2 1
0 0 0
3 2 0
1 1 1
0 1 0
3 1 0
0 1 2
3 0 2
2 3 3
0 0 2
10 6
2 0 0
0 0 0
2 1 3
3 1 3
1 0 1
1 1 3
0 1 0
1 2 0
1 3 0
2 0 3
10 2
1 0 1
2 1 2
2 0 0
1 2 1
1 1 1
2 1 0
0 0 0
1 0 0
0 2 1
0 1 1
10 7
0 2 0
0 0 1
0 2 1
2 1 1
2 1 2
2 1 0
0 0 0
2 2 2
1 2 1
1 0 1
10 6
3 3 2
1 1 3
1 0 3
3 2 3
0 3 0
2 0 2
0 1 1
3 0 3
1 3 3
2 1 3
10 9
1 1 1
1 1 0
1 0 2
0 0 1
2 2 2
1 0 1
0 2 1
1 1 2
0 0 2
0 1 0
10 7
3 3 1
2 1 2
1 2 0
0 1 2
1 1 1
0 2 2
3 1 0
2 2 0
3 0 0
1 0 3
10 3
2 1 1
1 1 0
0 2 0
3 1 1
0 1 0
1 2 2
0 1 2
0 2 1
3 1 3
3 0 1
10 7
0 1 1
1 0 0
2 1 2
0 3 0
0 1 0
3 3 1
1 3 0
0 0 3
1 1 1
1 2 1
10 4
0 2 3
3 0 3
1 0 3
1 0 2
3 3 0
1 0 0
2 3 0
0 1 0
1 2 3
2 0 0
10 2
0 1 2
0 3 3
0 2 1
1 0 1
2 0 0
3 0 1
1 2 3
3 3 0
0 1 3
0 2 2
10 7
1 2 3
2 0 3
1 1 1
0 3 2
2 3 0
0 3 1
1 0 3
1 3 3
0 3 0
3 2 2
10 4
2 0 0
2 1 1
0 2 2
1 0 0
0 0 2
0 2 1
0 0 1
1 2 1
0 1 1
2 0 2
10 7
3 2 1
1 1 0
1 2 2
1 1 3
2 2 3
2 2 0
0 0 1
3 1 3
1 0 0
0 1 2
10 3
0 0 2
0 1 1
0 1 2
1 0 0
2 0 2
0 2 1
2 0 1
2 1 2
1 0 2
0 1 0
10 7
2 2 2
1 1 1
2 0 0
1 2 1
2 1 1
1 0 0
0 1 2
0 2 2
0 0 2
2 0 1
10 6
2 3 2
1 0 0
1 2 0
2 2 1
3 1 1
1 1 0
0 2 0
1 1 1
3 2 2
3 1 2
10 5
1 1 0
0 2 1
2 0 2
0 2 2
2 1 1
0 1 2
1 1 1
2 0 1
1 0 0
2 2 0
10 7
2 0 1
1 2 0
0 0 0
1 1 2
0 2 2
0 1 2
1 0 2
0 0 2
1 2 2
1 0 1
10 9
0 2 0
0 2 1
1 1 1
0 1 1
1 0 1
0 1 0
2 1 1
1 1 0
2 2 0
0 0 0
10 7
3 0 2
1 2 0
0 1 0
0 0 3
3 1 3
0 1 1
0 0 2
1 1 0
1 0 2
1 1 1
10 8
2 1 0
0 0 3
3 3 0
3 3 2
2 0 3
0 0 0
1 0 1
0 3 0
1 1 2
3 0 2
10 5
3 0 2
1 1 3
3 2 0
0 1 0
3 0 1
3 3 3
0 0 3
3 1 3
1 2 3
2 2 1
10 3
2 2 0
0 0 3
3 3 0
1 2 3
2 1 1
3 3 1
2 3 0
3 1 1
3 0 1
0 1 0
10 8
1 0 1
3 1 3
3 3 1
3 2 1
2 3 3
2 0 2
1 0 2
3 3 2
0 3 2
0 2 3
10 2
1 1 1
2 2 2
1 1 2
1 2 1
0 2 0
0 2 1
2 0 1
2 2 0
2 2 1
2 0 0
10 4
0 0 2
1 0 0
2 1 1
0 0 1
2 0 1
2 0 0
2 0 2
1 2 0
0 2 0
1 0 2
10 6
3 3 3
2 2 2
0 2 1
1 0 1
0 2 2
1 0 2
2 3 0
0 1 1
2 2 3
3 2 3
10 4
1 2 2
1 0 0
2 1 0
0 1 1
2 0 0
0 0 1
2 2 0
2 0 1
0 1 0
2 1 1
10 2
0 0 2
2 0 1
3 3 3
0 0 3
0 2 0
3 1 0
1 1 1
1 3 0
3 3 0
3 1 3
10 3
2 0 2
0 2 0
1 0 0
0 0 2
0 2 2
1 0 2
2 0 0
0 1 0
2 1 2
1 1 1
10 8
1 1 3
2 0 3
1 2 3
2 1 3
0 3 1
0 1 1
3 1 2
3 0 1
2 0 2
1 1 1
10 2
0 3 1
2 2 2
3 1 0
1 3 3
2 2 3
1 1 1
3 0 0
2 2 1
0 0 3
3 0 3
10 8
3 1 3
2 2 3
0 1 1
0 0 0
1 2 3
1 3 2
2 2 2
2 0 0
3 2 3
3 3 0
10 5
2 1 1
0 0 1
2 0 0
2 1 2
2 2 2
0 2 1
2 0 2
0 1 2
0 1 0
1 2 1
10 5
1 1 1
2 1 0
3 0 0
1 2 1
0 2 0
0 2 1
1 3 0
2 1 3
0 0 3
0 1 3
10 7
1 0 1
2 2 1
0 0 2
0 1 2
1 2 2
2 1 2
1 1 0
0 1 0
0 0 0
2 0 1
10 4
3 3 3
3 3 1
3 1 1
0 0 3
1 3 1
0 1 0
1 0 3
0 0 1
0 2 3
0 0 0
10 9
2 2 2
2 0 2
1 0 0
0 2 0
0 1 0
1 1 2
1 2 2
1 1 1
1 0 1
2 1 2
10 8
1 3 2
1 2 1
0 1 3
0 2 2
3 3 3
2 2 1
0 3 2
1 3 3
3 1 2
2 0 3
10 7
2 1 3
1 3 0
3 0 3
0 0 1
0 1 1
0 3 1
1 1 3
1 2 2
2 0 0
1 1 1
10 3
2 0 1
2 2 1
1 2 2
2 2 2
0 1 2
2 1 2
2 1 0
1 0 2
1 2 0
1 1 0
10 5
1 1 2
0 1 1
2 1 1
2 0 1
0 1 2
2 2 1
0 0 0
1 2 1
0 2 0
1 0 1
10 5
3 1 0
1 3 3
2 2 1
1 0 0
1 2 1
1 3 1
3 3 0
1 3 0
3 2 2
1 2 0
10 6
2 0 0
0 0 0
2 2 1
1 2 2
2 2 0
2 0 2
2 1 0
1 2 0
1 2 1
1 1 1
10 6
1 2 2
1 3 3
1 1 1
0 2 1
2 0 1
3 0 2
0 0 3
3 2 0
1 3 2
3 3 2
10 3
2 2 1
2 0 2
2 0 1
0 2 0
2 1 1
0 2 2
0 0 1
2 2 0
2 0 0
0 0 0
10 4
2 2 0
1 2 0
2 1 1
1 0 0
1 0 1
0 0 0
2 0 1
1 1 2
1 0 2
0 1 2
10 2
0 1 0
1 1 2
0 2 2
1 2 0
1 2 1
2 1 0
0 0 1
1 2 2
2 0 0
1 0 0
10 7
1 2 0
2 0 0
0 1 0
2 1 1
0 1 1
1 1 1
2 2 1
1 1 2
0 2 2
2 2 0
10 9
0 1 2
0 2 0
1 0 0
0 0 0
2 0 0
0 1 1
2 2 1
1 2 2
2 0 2
1 1 0
10 2
2 3 2
3 2 0
2 1 0
2 1 3
2 1 2
1 3 0
1 2 0
3 1 3
1 0 1
1 0 3
10 4
0 0 0
2 2 0
1 0 1
0 0 1
1 1 1
2 2 1
0 2 2
0 1 2
1 0 2
2 1 2
10 8
2 2 2
2 0 1
0 0 1
1 0 1
1 1 1
2 1 0
1 2 1
0 1 2
1 0 0
0 0 0
10 6
2 2 0
0 0 2
0 2 0
2 2 2
2 1 1
0 0 0
1 2 2
1 2 1
1 0 2
0 1 0
10 8
2 2 2
2 0 2
0 0 1
0 1 0
0 1 1
1 2 1
0 0 0
0 1 2
1 2 0
1 2 2
10 9
0 1 1
2 0 0
0 1 0
1 0 0
2 2 0
1 2 0
0 1 2
1 0 1
2 0 2
2 0 1
10 3
1 0 0
1 1 1
2 2 2
0 0 0
2 0 1
1 1 0
2 1 0
0 1 2
0 1 1
1 2 0
10 9
0 1 2
1 0 2
1 1 2
2 0 0
3 2 1
1 0 1
1 1 3
1 2 2
2 2 3
3 2 2
10 5
2 2 0
2 0 2
2 0 1
2 2 2
2 0 0
0 2 2
2 3 3
1 3 0
2 1 3
0 3 2
10 6
2 1 1
2 0 2
2 1 2
2 0 1
2 2 0
0 0 1
1 0 0
1 2 2
0 0 0
1 0 1
10 6
2 2 0
0 2 0
1 2 1
2 0 2
1 0 2
0 1 1
2 2 1
1 0 1
2 2 2
1 1 2
10 4
2 1 0
0 0 0
1 1 3
3 3 0
3 0 1
1 2 2
1 3 0
0 2 1
1 2 1
1 1 1
10 7
0 0 2
2 2 0
1 1 1
2 1 0
1 2 0
2 2 2
1 0 1
2 1 2
0 0 1
1 2 2
10 2
2 0 1
0 1 1
1 1 0
2 2 1
1 2 1
1 1 2
2 1 1
0 0 1
0 2 0
1 0 0
10 3
2 2 1
1 1 2
3 0 1
1 3 0
0 3 0
2 1 2
3 0 2
0 3 1
1 3 1
3 0 3
10 2
2 3 3
3 0 1
3 1 2
0 1 3
0 0 2
1 0 1
3 0 3
0 1 0
0 2 3
2 2 3
10 7
1 1 1
0 3 2
1 2 3
0 1 0
2 3 2
3 0 3
3 0 0
3 3 1
3 1 1
0 1 1
10 2
1 2 2
2 1 0
0 0 1
1 2 0
1 1 2
2 1 2
1 0 1
2 1 1
2 2 1
0 2 1
10 7
2 0 1
0 1 3
1 0 1
3 2 0
0 1 0
2 1 1
2 2 3
0 1 2
3 0 1
3 0 2
10 4
1 0 0
2 0 1
2 1 2
0 0 1
3 2 2
1 3 3
3 0 3
3 1 3
1 3 1
2 2 0
10 2
2 2 1
1 0 1
0 0 2
2 2 0
0 0 1
1 2 1
2 0 0
1 1 1
1 2 2
0 0 0
10 3
2 0 1
2 2 0
1 1 1
0 2 0
0 2 2
1 2 1
0 0 1
2 2 2
1 0 1
2 0 0
10 6
0 2 3
3 0 3
2 2 3
3 1 2
1 2 2
2 3 2
2 2 2
3 3 1
0 0 2
2 0 3
10 5
0 0 1
1 0 0
0 2 2
0 2 1
0 0 2
2 0 0
0 1 0
0 1 2
2 1 0
1 0 1
10 3
0 3 1
2 3 2
1 3 1
0 2 2
1 1 0
2 0 2
0 2 1
0 1 1
3 2 3
1 1 2
10 5
1 1 2
1 2 0
0 1 1
2 1 2
2 0 2
1 2 2
1 0 0
0 1 0
0 2 0
0 2 2
10 4
2 3 1
3 0 0
2 0 0
0 3 0
2 2 0
0 0 1
3 2 3
2 1 2
3 1 0
2 3 3
10 3
1 2 3
2 1 2
1 1 3
2 0 0
3 3 0
1 0 0
2 0 3
0 3 1
3 2 3
3 1 3
10 6
0 1 2
3 1 2
1 2 3
0 1 1
2 2 2
2 1 3
3 1 3
1 0 0
0 2 0
2 3 2
10 5
0 0 2
0 2 1
0 1 1
2 0 1
1 2 0
2 1 2
0 2 2
2 0 2
1 2 1
0 2 0
10 9
2 0 1
3 0 3
0 3 1
0 1 2
2 2 2
1 3 2
1 0 3
2 3 0
1 0 0
3 1 3
10 9
2 1 1
0 2 0
2 3 3
1 3 1
3 0 0
3 3 3
1 1 2
0 1 1
1 1 3
2 0 1
10 7
1 1 1
0 3 3
3 3 2
2 3 0
3 0 1
3 3 1
1 3 1
0 0 1
3 1 1
2 0 1
10 6
2 2 1
1 2 0
1 0 1
0 2 0
0 0 2
2 0 2
2 1 1
1 1 1
1 0 2
1 2 1
10 4
2 3 2
1 3 3
0 1 3
3 2 3
0 0 1
2 2 2
0 2 2
0 1 2
3 3 1
2 0 2
10 4
2 1 1
2 2 2
2 0 0
1 2 0
1 1 1
0 2 2
2 2 1
1 0 1
2 0 2
0 0 1
10 4
1 0 2
2 2 1
2 0 2
1 0 1
1 2 1
0 2 1
0 0 2
2 1 0
2 1 1
0 1 1
10 5
2 2 1
0 0 1
2 0 2
2 1 2
1 1 0
2 2 2
0 1 1
1 2 1
1 2 2
2 0 1
10 2
2 2 0
2 0 2
1 0 1
2 1 2
1 2 2
1 0 0
0 0 1
2 1 0
0 1 0
0 2 0
10 7
2 2 2
1 0 2
2 1 1
0 2 2
0 0 1
2 2 0
1 2 2
0 0 0
0 2 0
2 1 2
10 6
2 1 3
1 3 2
1 3 3
3 1 0
0 0 2
2 2 3
2 0 1
2 3 1
3 1 1
1 3 0
10 7
1 0 0
2 1 2
0 2 1
1 2 1
2 2 0
1 1 1
1 1 2
1 2 2
2 0 1
0 1 0
10 5
3 1 3
3 3 1
2 2 2
3 0 0
1 2 2
0 3 0
0 2 1
0 1 1
2 3 3
0 0 0
10 7
3 3 3
2 0 1
2 0 2
2 1 3
3 2 1
3 0 0
1 2 3
3 2 0
3 1 1
1 3 0
10 6
2 1 2
2 1 0
1 1 0
1 1 1
2 1 1
2 0 0
0 2 2
2 2 1
1 0 2
0 0 0
10 6
1 1 0
1 0 3
0 3 2
2 2 0
3 2 1
0 2 0
0 0 0
1 1 2
1 2 0
0 0 2
10 6
0 0 1
0 1 0
1 0 1
0 2 1
2 2 0
2 1 1
2 1 0
2 2 2
1 2 2
2 0 1
10 5
0 1 3
1 1 2
2 3 3
0 0 1
2 1 3
0 2 1
3 2 3
3 2 2
0 0 2
3 1 3
10 8
1 2 1
3 2 2
1 1 2
0 3 3
0 1 1
3 0 1
2 1 3
1 0 1
0 0 2
3 1 3
10 2
2 2 2
2 0 2
2 1 2
0 0 0
0 2 0
2 1 0
0 0 1
1 0 0
0 0 2
2 2 0
10 8
1 2 0
1 2 3
3 1 3
1 3 3
0 1 0
0 3 0
2 2 2
0 2 2
0 0 1
1 0 0
10 6
1 2 1
0 2 0
0 0 0
1 2 2
1 1 2
2 1 1
0 1 0
2 2 0
0 2 2
2 0 0
10 7
3 3 2
1 2 3
3 1 0
1 1 0
1 1 1
1 2 1
3 0 2
1 2 0
2 1 2
0 1 1
10 8
1 1 2
1 0 1
2 1 3
3 1 0
2 1 0
2 2 1
3 0 0
0 1 3
0 2 3
2 3 2
10 8
1 1 0
0 1 2
1 0 2
0 0 1
2 1 0
0 1 0
2 2 0
0 2 1
0 0 0
0 0 2
10 5
1 3 1
1 2 2
1 1 0
0 2 3
0 1 3
2 2 2
1 3 0
2 3 3
1 2 1
0 0 1
10 7
1 1 2
0 0 1
0 0 0
2 2 1
0 1 1
2 2 0
1 0 1
2 1 1
0 0 2
2 0 2
10 5
0 1 0
2 1 0
1 2 1
0 0 1
0 1 1
1 2 0
2 0 1
1 0 2
0 2 0
0 0 0
10 8
1 0 2
1 0 1
1 1 1
1 2 1
0 0 2
2 1 2
0 2 2
1 1 0
2 2 0
2 0 0
10 2
0 0 0
0 2 1
2 0 1
1 2 1
1 2 0
1 2 2
0 0 1
0 0 2
0 1 2
1 1 0
10 8
3 0 1
2 3 1
0 2 0
1 1 0
2 2 1
1 1 3
1 3 3
2 1 0
0 1 0
1 1 1
10 2
1 1 0
2 1 1
2 1 2
0 1 1
0 2 0
0 0 2
1 2 2
1 0 2
2 0 1
2 0 2
10 2
2 1 1
0 1 0
0 0 0
1 1 0
2 0 1
0 2 1
0 1 1
2 0 2
2 0 0
1 0 1
10 5
3 2 2
1 2 1
1 3 1
1 1 2
3 0 2
3 3 1
0 2 0
3 2 1
2 1 3
2 2 0
10 6
0 0 2
1 1 0
1 1 1
1 0 2
0 2 1
1 0 0
1 0 1
0 1 2
0 1 0
2 0 2
10 5
3 1 1
3 2 1
1 3 3
3 1 0
1 1 3
3 3 3
0 2 2
0 2 3
1 0 0
2 3 0
10 4
3 2 0
3 2 1
2 1 1
3 2 3
3 3 3
1 3 2
3 0 3
2 2 3
3 1 0
0 1 3
10 9
0 0 0
2 0 0
2 1 0
1 3 3
3 0 3
2 2 1
0 2 2
3 3 0
1 3 0
3 1 2
10 7
1 1 1
0 1 1
0 0 2
0 2 1
1 2 0
1 2 2
1 0 1
2 0 1
0 0 1
2 0 0
10 7
0 1 2
0 0 1
0 1 0
2 2 0
2 2 1
2 0 0
0 2 0
0 0 0
2 1 2
2 1 0
10 8
0 0 1
3 2 0
0 0 2
3 1 1
2 0 1
0 0 3
2 2 3
2 1 2
3 2 2
1 2 2
10 6
0 2 0
0 1 1
0 1 0
1 0 0
2 1 0
2 0 0
2 2 2
2 1 1
0 1 2
1 1 0
10 7
3 1 0
1 2 1
2 2 1
0 1 2
1 0 1
1 1 1
1 2 0
0 1 1
1 3 3
2 3 0
10 7
3 2 1
3 0 0
3 2 2
2 1 2
0 2 1
1 1 1
0 1 1
0 2 0
3 1 1
2 2 1
10 6
0 1 1
0 2 1
0 1 2
1 0 1
2 2 2
1 1 2
0 1 0
0 2 2
1 2 2
2 2 0
10 7
1 2 1
1 1 0
1 0 1
1 2 0
2 0 2
0 1 1
2 1 1
2 1 2
0 2 0
0 0 2
10 8
2 0 2
1 3 2
2 2 0
1 1 2
1 3 1
2 2 1
1 3 3
0 2 2
3 1 3
3 0 1
10 7
2 1 1
1 1 2
1 1 0
1 0 2
3 2 1
0 0 0
3 3 1
3 0 0
3 3 0
2 2 3
10 2
0 2 0
2 3 2
1 1 0
2 2 2
2 0 2
3 0 3
3 1 2
1 3 1
0 3 3
2 3 0
10 5
1 1 1
1 1 0
1 2 1
0 2 1
1 2 0
0 0 2
1 2 2
2 1 0
1 0 0
2 2 0
10 4
2 1 2
1 1 2
2 1 0
2 2 0
1 1 1
0 1 2
1 0 0
2 2 1
1 0 2
1 1 0
10 5
0 1 0
1 1 2
2 1 3
2 2 1
2 3 0
2 3 1
3 3 0
3 1 0
3 1 3
1 1 0
10 7
0 3 0
2 1 2
3 3 3
2 0 1
2 1 1
0 2 2
2 2 1
0 0 3
0 2 3
0 3 1
10 6
1 0 1
3 2 2
0 3 1
1 0 2
3 1 0
2 1 0
1 3 1
2 2 2
0 2 0
0 3 2
10 3
1 2 2
2 2 1
0 2 1
2 1 2
0 0 0
1 0 1
1 1 2
1 0 0
2 0 2
2 0 1
10 2
3 0 2
3 2 2
2 1 1
1 2 1
3 3 2
0 1 1
2 0 2
1 2 3
2 0 1
3 2 1
10 2
1 1 1
0 0 0
1 1 2
0 1 1
2 0 2
1 0 2
1 0 0
1 2 0
0 0 2
2 2 0
10 4
2 1 1
1 2 2
1 1 0
0 0 0
2 0 1
0 2 1
2 2 1
0 1 1
2 0 2
1 0 0
10 4
1 3 1
0 3 0
0 3 1
0 2 2
1 1 1
3 0 3
3 1 0
2 2 2
0 1 3
3 2 1
10 3
3 0 3
2 2 1
1 1 3
0 0 2
0 2 3
0 1 3
2 2 3
0 2 2
1 2 0
1 3 1
10 4
2 1 1
1 0 0
0 1 1
0 1 2
2 2 1
2 1 2
2 0 2
0 0 2
1 0 2
1 2 0
10 9
0 1 1
1 1 2
0 0 1
0 1 2
0 2 0
2 2 1
0 0 0
0 0 2
2 0 0
2 2 2
10 3
3 3 3
2 3 3
1 3 2
3 1 3
1 2 1
2 2 3
2 1 2
2 1 1
3 0 0
0 0 2
10 5
0 3 3
2 0 2
1 0 1
3 1 3
2 2 3
0 1 2
3 2 3
2 1 2
3 0 1
0 2 1
10 7
1 2 1
0 1 2
2 0 1
1 2 2
0 0 0
0 1 0
2 1 2
1 1 2
0 0 1
0 2 2
10 7
2 0 2
0 2 0
1 2 2
1 1 1
1 1 2
2 0 0
1 0 1
2 2 2
2 0 1
0 2 1
10 5
0 0 0
1 1 1
0 1 2
0 1 1
0 2 2
1 0 1
0 2 1
2 1 0
2 1 2
0 2 0
10 4
2 2 1
1 1 1
2 1 0
2 2 2
2 0 1
0 1 1
0 1 0
2 0 0
0 2 2
1 2 2
10 8
2 0 2
0 2 2
3 1 1
0 3 1
3 1 3
0 2 0
0 0 2
2 1 0
3 2 0
3 3 3
10 5
1 0 1
1 1 2
2 2 1
0 0 2
2 2 2
2 1 1
0 0 0
0 2 1
2 1 2
0 0 1
10 5
1 2 1
2 0 2
2 2 1
0 1 2
1 2 2
1 0 0
2 2 0
0 0 1
1 1 2
0 1 0
10 9
0 0 1
0 1 0
1 0 1
0 1 2
0 2 1
0 0 2
0 0 0
2 1 0
1 1 2
1 1 0
10 6
1 2 2
0 2 2
2 0 0
1 1 1
0 0 0
2 2 2
0 0 2
0 2 0
2 2 1
1 1 2
10 8
2 0 1
2 3 3
3 0 3
1 2 1
1 1 2
0 2 3
2 3 2
2 2 2
0 0 3
3 2 1
10 5
1 2 2
2 1 0
0 0 0
2 1 2
0 1 2
1 0 1
1 0 2
1 1 1
1 2 1
0 0 1
10 3
1 0 0
0 0 2
0 1 1
2 2 1
0 0 1
2 2 2
2 1 0
1 1 1
1 2 1
0 2 0
10 6
0 0 0
2 0 2
1 1 1
1 1 2
2 2 2
0 2 0
1 0 1
1 2 2
1 2 1
2 0 1
10 5
0 1 1
0 3 1
1 1 0
3 3 0
1 1 3
2 3 3
1 0 2
2 0 1
3 2 1
2 3 0
10 3
0 1 1
0 2 2
3 0 0
3 0 3
2 1 2
1 1 1
0 1 3
0 0 2
1 0 2
2 3 2
10 4
0 1 1
2 2 1
0 2 1
1 2 2
1 1 2
1 1 0
0 2 2
2 0 2
2 1 1
2 2 2
10 6
0 3 0
1 3 1
0 3 3
1 0 1
3 1 3
1 1 3
3 1 2
0 1 1
2 1 1
0 0 1
10 9
2 0 2
2 2 0
1 1 3
0 0 0
0 1 1
0 3 3
1 0 3
3 0 2
1 3 3
0 0 3
10 5
0 0 1
2 2 2
0 1 1
2 1 2
0 2 0
2 0 0
1 2 1
2 1 1
1 2 0
2 2 0
10 9
3 2 0
1 0 1
0 1 1
3 3 2
1 0 3
1 0 2
0 2 2
3 1 0
3 1 2
3 3 1
10 5
3 3 3
1 0 0
3 3 0
2 2 0
2 3 1
1 0 1
3 1 3
3 0 3
2 1 0
3 3 2
10 5
2 0 1
2 1 1
0 1 2
2 2 2
2 0 2
2 0 0
2 2 0
2 2 1
1 0 1
0 1 1
10 2
0 1 0
0 2 1
0 2 3
1 1 3
2 3 2
2 1 2
3 2 0
1 1 1
3 1 0
2 0 1
10 3
2 2 0
0 2 1
0 1 1
0 0 2
2 2 2
2 0 0
0 0 0
0 2 0
1 0 0
0 0 1
10 6
3 1 3
2 2 2
0 0 1
2 1 1
3 2 2
0 2 3
1 1 2
1 1 3
3 3 0
2 3 0
10 6
0 2 1
2 2 2
1 2 0
0 3 1
0 0 1
0 1 3
1 3 3
2 1 0
3 3 0
0 0 0
10 9
3 3 0
3 1 3
3 1 0
0 3 2
1 0 2
1 3 1
3 0 1
0 0 1
2 2 2
3 3 3
10 8
3 0 2
2 1 1
0 3 3
1 2 3
3 2 1
2 2 0
3 1 1
0 1 1
0 0 0
0 3 0
10 4
2 2 1
0 3 3
0 0 3
1 0 2
1 1 2
0 2 2
0 0 1
2 3 2
3 2 0
1 2 2
10 7
2 3 2
2 1 1
1 2 1
1 1 0
3 3 1
0 3 0
2 3 3
3 3 2
2 0 1
0 2 2
10 9
0 3 1
2 0 0
1 2 1
2 2 0
0 2 1
1 1 2
2 3 1
0 3 0
2 3 0
2 1 0
10 7
2 1 3
3 0 1
1 1 2
2 2 2
1 3 3
3 1 3
1 2 3
3 2 1
1 0 0
0 2 3
10 3
1 1 1
2 0 1
2 1 2
0 0 2
2 2 1
1 2 0
0 1 2
0 1 0
0 2 1
1 0 0
10 7
1 2 1
2 2 1
0 2 3
1 0 0
2 3 0
1 2 2
0 2 1
0 3 0
1 3 0
0 1 3
10 3
2 2 2
3 1 0
0 3 0
0 1 1
3 3 1
1 0 1
3 1 1
2 3 2
0 1 0
2 3 0
10 9
3 1 3
3 3 2
1 2 3
3 1 2
3 2 0
2 2 0
1 0 0
0 0 0
2 2 2
1 1 0
10 3
1 1 2
2 2 3
3 0 3
3 0 2
3 1 0
0 2 1
3 2 1
2 1 1
0 0 1
3 3 3
10 4
0 1 2
3 3 0
2 1 0
3 2 3
2 0 3
0 2 0
3 3 2
3 2 0
1 3 3
2 1 1
10 8
0 3 0
0 0 1
1 3 2
1 1 0
2 3 2
3 2 1
3 0 3
1 3 1
3 2 2
0 1 2
10 7
1 0 0
2 1 3
3 3 3
3 3 0
2 3 3
2 3 0
0 2 3
2 0 0
3 0 1
2 1 1
10 9
1 1 0
0 2 1
1 1 2
0 1 1
0 0 2
2 2 0
2 2 1
0 2 2
2 2 2
2 1 0
10 7
2 0 1
0 0 1
3 0 0
1 3 0
3 2 1
3 2 0
2 2 3
2 1 3
0 1 3
1 0 0
10 5
1 1 0
0 3 3
3 2 3
1 2 1
0 0 1
1 2 0
1 1 3
2 2 1
3 0 1
1 3 1
10 7
2 2 1
2 0 0
3 3 3
3 1 0
3 0 1
2 1 2
1 2 1
2 1 0
2 2 2
0 0 1
10 7
2 0 1
1 2 1
0 2 2
3 0 1
3 0 2
1 3 2
3 3 0
3 0 0
2 0 3
0 1 3
10 9
0 0 0
2 2 0
2 0 0
2 0 1
1 1 2
1 2 0
1 2 1
1 0 2
1 0 1
2 2 2
10 7
2 1 2
1 1 1
1 0 1
1 0 0
1 2 1
2 0 1
0 0 1
2 0 2
0 2 2
2 1 0
10 2
0 3 0
1 1 0
2 2 3
0 3 2
0 3 3
0 1 3
3 1 2
2 3 3
1 1 3
3 3 1
10 9
3 0 2
0 3 2
2 3 1
1 3 3
2 1 3
1 2 0
1 1 3
2 0 3
1 3 2
2 0 0
10 3
0 1 2
3 0 1
0 2 1
0 3 2
2 0 0
2 3 2
3 3 0
1 0 3
3 2 0
2 2 1
10 7
2 0 2
0 0 1
0 0 2
2 0 0
1 1 1
2 2 2
1 0 1
0 2 2
2 1 1
2 0 1
10 3
3 1 1
3 2 2
2 1 0
2 3 2
0 3 2
2 0 2
0 0 3
0 0 1
0 2 1
1 0 2
10 6
3 0 3
3 3 0
3 2 2
0 0 3
3 0 1
3 0 2
2 0 3
0 2 0
2 2 1
2 1 0
10 5
0 1 1
1 2 1
0 2 1
1 0 2
2 3 0
1 0 3
0 1 0
3 1 2
3 3 1
3 1 3
10 9
2 2 0
3 0 0
3 1 3
0 1 3
3 3 3
1 2 3
1 0 1
1 3 3
3 0 3
2 2 1
10 7
1 1 2
2 0 0
0 2 1
0 1 2
1 2 2
0 1 1
2 1 0
2 2 0
2 1 1
1 2 0
10 8
0 1 0
3 2 1
0 0 0
3 2 2
2 0 2
2 0 1
0 2 2
3 3 2
0 3 1
1 2 1
10 3
1 1 1
0 1 2
0 2 0
2 2 2
1 2 1
0 2 2
2 2 0
2 0 0
0 0 0
2 1 0
10 8
2 2 1
3 1 0
3 2 2
1 3 3
1 2 2
0 1 1
2 1 2
0 0 0
2 0 3
2 1 0
10 6
2 0 2
2 1 2
2 2 0
1 1 2
1 1 0
2 1 0
1 0 2
0 2 1
0 0 0
1 2 2
10 9
2 2 0
2 0 2
1 2 0
2 2 1
1 1 2
0 1 1
0 2 1
1 0 0
1 2 1
0 1 0
10 8
2 2 0
1 2 0
0 1 0
1 1 0
1 0 0
0 0 0
0 1 1
0 0 2
2 0 1
1 2 2
10 4
0 0 1
3 0 1
0 2 3
1 0 2
0 2 2
3 2 0
0 3 1
2 0 0
2 2 1
3 0 0
10 4
2 2 0
2 0 0
2 0 1
0 2 0
1 2 2
2 2 2
1 2 1
1 2 0
0 0 1
2 1 0
10 3
2 1 1
0 2 1
0 0 1
1 1 1
0 1 1
0 0 0
1 2 0
2 1 2
0 1 0
2 2 1
10 6
0 2 2
2 0 2
0 0 0
2 1 1
2 2 1
1 0 0
1 2 0
2 2 0
1 0 2
0 1 2
10 8
1 2 0
2 1 1
0 0 0
1 1 2
0 0 2
2 1 2
1 0 2
1 2 2
0 1 1
0 2 2
10 4
0 1 2
1 1 1
0 2 2
2 0 2
1 2 1
2 1 1
2 0 1
1 0 1
2 2 1
0 1 1
10 4
0 0 1
2 1 0
1 1 1
1 2 2
2 2 2
0 0 0
2 1 1
0 2 2
0 1 2
2 0 1
10 7
1 3 2
1 1 1
0 0 0
2 3 0
3 0 2
0 1 3
3 2 1
2 3 3
2 0 2
2 3 2
10 9
0 2 1
2 1 2
2 0 0
0 0 2
1 1 1
1 0 1
2 1 1
1 2 0
1 1 2
1 0 2
10 6
1 2 1
0 0 1
0 0 2
1 0 2
1 0 0
1 1 1
0 2 1
1 1 0
0 1 2
2 1 2
10 5
2 1 2
1 1 2
1 0 0
2 2 2
0 1 2
2 0 2
0 1 1
0 2 0
1 1 1
0 2 1
10 4
0 0 3
3 3 2
2 2 1
3 1 3
1 3 0
0 0 2
3 1 2
1 1 2
1 3 3
3 2 2
10 6
1 3 1
3 3 3
0 1 0
3 3 1
3 0 3
1 2 3
2 0 3
1 2 1
0 1 2
1 0 1
10 2
0 0 3
2 1 0
1 2 1
0 2 2
3 2 2
0 3 3
1 3 2
2 3 1
1 2 0
2 1 1
10 9
2 1 0
3 2 0
0 1 2
0 3 2
3 3 2
3 3 3
2 2 1
3 2 1
0 0 2
2 3 1
10 9
0 0 1
1 0 0
0 0 0
1 2 2
0 2 1
2 0 1
2 2 0
2 1 2
0 2 2
1 1 2
10 2
2 2 0
0 2 2
2 2 2
0 2 0
0 0 1
1 0 1
2 2 1
0 1 0
2 0 0
0 1 2
10 2
2 0 3
2 2 0
0 2 0
0 1 2
1 3 2
1 0 1
1 0 2
3 0 3
2 0 2
3 1 0
10 8
0 0 1
0 1 1
0 0 0
1 2 0
2 1 1
1 0 0
2 0 2
0 2 2
1 0 1
1 2 1
10 6
1 2 1
1 1 0
3 2 2
0 1 1
3 2 0
1 3 3
0 0 3
0 2 3
2 0 1
2 3 1
10 4
0 3 1
0 2 1
0 3 0
0 2 2
1 1 1
3 0 0
3 2 2
0 1 1
1 1 0
1 0 3
10 6
1 0 1
1 2 2
0 1 1
0 1 2
2 1 1
2 1 0
2 1 2
0 0 2
2 2 1
2 2 2
10 8
3 3 2
0 3 1
2 2 3
1 2 0
0 1 0
3 1 3
2 1 0
3 2 2
1 3 0
0 3 3
10 2
1 0 0
2 3 3
3 3 2
3 3 3
0 1 2
2 1 2
2 1 0
3 3 1
2 1 1
0 0 3
10 7
1 2 3
3 0 2
1 0 1
3 1 2
3 0 3
3 3 3
3 0 0
1 3 2
2 2 0
1 3 0
10 8
0 0 0
2 1 1
1 2 2
1 0 1
2 0 1
0 2 0
0 0 1
0 1 0
1 0 2
0 2 1
10 8
2 2 2
2 2 0
2 1 2
2 2 1
2 0 0
1 0 0
0 2 1
2 1 1
2 0 2
1 1 1
10 2
2 2 3
3 1 1
1 1 3
0 2 0
3 2 3
1 1 2
2 3 1
0 0 3
0 3 1
2 3 3
10 6
2 2 2
2 1 2
1 3 1
1 1 2
3 3 2
3 1 0
0 3 2
0 1 1
1 3 2
3 1 1
10 9
3 1 0
1 2 1
1 1 0
3 1 2
1 0 1
0 2 0
1 2 0
3 1 3
1 2 2
3 2 3
10 4
2 1 1
0 1 2
2 0 3
1 1 3
3 2 2
1 0 3
3 2 3
3 1 3
3 2 0
3 0 0
10 4
1 0 0
2 0 0
0 1 0
1 0 1
1 1 0
2 2 1
0 0 0
2 0 2
0 0 1
1 2 1
10 6
0 2 0
2 1 3
0 2 1
1 3 1
3 0 0
3 2 3
1 2 2
3 1 2
0 3 2
2 1 1
10 5
3 1 1
0 2 3
1 3 0
0 3 2
1 3 3
1 2 0
2 0 0
2 2 2
2 1 2
0 2 2
10 2
2 0 1
3 0 1
2 2 3
1 0 1
1 1 3
1 0 0
2 3 1
0 3 0
3 0 0
2 1 1
10 9
3 0 2
0 3 0
2 0 2
1 3 0
2 1 1
1 0 1
2 1 2
1 0 3
1 0 0
0 0 0
10 4
1 0 1
0 2 1
3 2 1
0 2 2
2 1 3
1 2 2
1 2 1
1 3 2
0 1 1
3 3 0
10 5
0 1 1
1 2 1
2 2 2
2 1 2
1 2 2
1 2 0
1 0 1
1 0 2
0 0 0
0 2 1
10 8
1 2 2
0 1 2
2 1 2
1 2 1
2 1 1
2 0 0
0 0 2
0 0 0
1 1 0
1 1 1
10 4
2 2 2
1 0 2
1 2 1
2 0 0
2 1 1
0 0 1
0 0 2
0 0 0
1 0 0
2 2 1
10 5
3 1 0
1 1 2
1 3 0
0 0 3
0 2 0
1 0 1
3 3 3
3 3 1
2 3 2
3 1 2
10 9
3 3 1
2 0 1
2 3 3
3 1 2
0 1 2
3 0 2
2 1 1
1 2 3
0 1 1
2 1 0
10 9
0 2 2
1 2 2
1 1 2
1 1 1
0 0 1
1 0 0
1 2 1
2 2 1
1 0 2
0 1 2
10 7
0 1 1
1 0 2
1 2 1
2 1 1
2 0 2
2 0 0
0 0 1
0 1 0
1 0 1
0 1 2
10 4
2 0 2
0 2 0
0 1 2
0 0 1
0 2 2
2 1 1
0 2 1
2 0 1
1 1 2
0 1 1
10 2
0 1 2
1 1 0
1 1 2
2 2 2
0 0 1
1 2 0
0 1 0
1 0 2
0 0 2
2 0 1
10 3
0 1 1
1 2 2
1 1 2
2 3 1
2 3 0
1 3 2
2 2 3
1 1 1
3 0 3
2 2 0
10 9
1 1 3
0 0 2
3 0 3
0 2 2
1 1 1
2 3 2
1 2 0
1 0 3
1 1 2
0 3 2
10 8
1 2 1
2 1 0
1 0 0
2 2 1
0 2 0
1 2 2
0 0 1
0 2 1
2 1 2
2 1 1
10 6
1 0 2
3 1 0
0 0 2
2 2 1
0 3 2
0 1 1
0 2 0
2 2 0
2 0 3
0 0 1
10 6
2 2 0
0 1 2
2 1 0
0 0 1
1 0 0
0 2 1
0 0 0
1 2 0
2 2 1
0 1 0
10 3
1 2 0
2 0 2
2 0 0
1 1 2
0 0 1
1 2 2
2 1 1
1 1 0
0 1 1
2 1 2
10 8
0 3 0
0 1 3
1 1 2
2 2 0
1 0 2
0 2 3
0 3 2
0 0 2
1 2 2
1 0 0
10 5
0 2 3
1 0 0
3 1 0
1 2 1
2 1 1
1 2 0
3 2 2
0 3 2
3 1 3
1 3 1
10 8
0 2 2
0 0 0
0 1 1
2 1 2
2 0 0
1 1 1
0 2 0
2 0 2
0 1 2
2 1 1
10 9
2 2 3
1 1 3
2 3 3
3 2 0
2 0 0
1 3 1
1 2 3
1 1 0
0 1 1
2 0 2
10 9
2 3 2
3 2 3
2 3 0
0 2 0
1 1 1
3 2 1
2 0 2
2 2 2
0 1 2
2 1 3
10 5
0 0 1
1 0 0
1 1 0
2 0 0
0 2 1
1 2 1
1 1 2
0 0 2
2 2 0
0 1 2
10 7
2 1 2
2 0 0
0 1 1
2 0 1
2 0 2
1 0 1
1 0 2
2 1 0
1 1 1
0 0 2
10 3
3 3 2
2 0 0
0 2 2
2 1 0
1 0 1
2 1 2
2 3 3
1 1 2
1 1 1
2 2 3
10 9
1 1 2
1 2 2
2 0 0
2 0 2
1 1 1
2 2 0
2 1 0
1 2 0
1 1 0
2 0 1
10 6
2 0 2
0 0 1
1 0 1
1 2 2
0 2 1
0 0 0
2 2 0
2 1 1
1 2 0
1 1 0
10 8
3 2 2
1 0 2
0 2 2
2 0 3
1 2 2
0 2 0
2 1 3
0 1 0
1 1 0
0 3 2
10 3
2 3 0
2 0 0
3 2 1
2 3 2
0 0 0
3 1 1
1 0 0
0 0 2
1 2 0
3 2 2
10 2
1 2 2
1 3 1
1 2 1
0 2 2
1 1 2
3 3 2
3 3 0
0 3 0
2 0 0
3 3 1
10 2
1 2 0
0 1 2
0 1 1
1 2 1
0 2 0
1 2 2
1 1 0
2 1 0
0 0 0
0 2 1
10 8
1 1 3
0 3 3
0 3 1
2 1 3
3 2 1
1 2 2
0 1 1
2 3 0
1 2 0
0 3 2
10 7
0 2 3
1 1 0
1 1 2
1 3 0
1 2 3
2 0 0
0 3 3
2 1 1
3 0 3
3 2 3
10 2
2 3 2
1 2 3
0 3 1
2 2 2
2 1 3
2 0 3
1 0 1
0 3 2
2 0 0
3 1 0
10 3
2 3 0
3 0 1
2 0 3
0 0 2
2 2 0
3 3 1
3 3 3
3 0 3
0 3 0
3 2 0
10 8
0 0 0
2 0 0
1 2 1
1 0 2
0 1 1
2 1 1
0 1 0
1 2 2
1 1 1
0 2 1
10 4
0 2 2
1 0 0
2 0 2
0 0 1
2 1 2
0 1 1
0 2 1
0 2 0
1 1 2
1 2 1
10 4
1 2 0
2 2 2
1 2 2
1 2 1
2 0 1
1 0 2
0 1 2
2 0 0
0 0 2
2 0 2
10 4
1 2 1
2 0 1
0 1 2
1 3 3
2 0 2
0 3 1
1 2 2
2 2 1
3 0 2
1 1 3
10 2
0 3 0
0 2 0
1 2 1
3 3 3
0 2 3
0 0 3
2 3 1
1 1 2
3 1 0
2 1 3
10 7
1 0 0
1 0 2
1 0 1
2 1 1
0 2 1
1 2 1
0 1 2
0 0 0
1 1 2
1 2 2
10 2
0 0 1
2 2 0
2 0 0
2 3 2
0 1 3
2 3 3
0 0 0
3 1 0
0 1 1
2 0 2
10 8
1 2 2
0 2 0
0 1 1
1 2 1
0 0 0
0 2 1
0 1 0
1 1 0
1 1 1
1 0 2
10 7
2 1 0
1 1 0
2 2 1
0 2 1
0 1 1
0 0 1
2 0 0
2 1 1
1 2 0
0 1 2
10 5
2 1 0
1 1 1
2 0 1
1 3 3
2 3 0
2 0 2
3 2 1
2 2 2
3 3 2
1 3 2
10 8
0 1 3
1 3 0
1 0 3
3 2 2
1 1 0
2 3 3
3 1 3
2 2 2
2 0 3
0 2 2
10 3
3 3 1
0 3 3
3 3 2
2 1 0
3 2 2
3 1 3
2 3 0
3 2 0
1 3 0
2 3 2
10 5
2 2 1
3 3 1
3 1 0
3 0 2
3 2 1
2 3 1
3 1 1
2 0 0
1 2 2
1 2 0
10 9
0 0 1
1 1 3
2 1 2
1 2 0
3 0 2
0 2 0
1 3 0
2 0 1
0 1 3
0 1 1
10 6
0 1 0
1 2 2
2 1 2
1 0 2
0 2 2
2 0 0
2 1 0
1 0 0
0 2 1
0 0 1
10 6
1 3 3
1 1 3
0 3 0
0 1 2
2 3 2
3 0 2
0 0 2
3 3 3
2 3 1
2 3 3
10 4
2 2 0
2 2 2
0 1 2
2 1 1
1 2 0
2 0 0
1 0 1
1 1 1
1 2 1
2 0 2
10 4
1 0 1
2 1 2
0 2 1
1 1 2
2 0 0
1 2 0
0 0 1
1 2 2
2 2 2
1 1 0
10 8
1 2 0
0 2 0
2 1 2
2 1 0
0 1 0
0 0 1
1 1 0
2 2 1
1 0 2
1 0 1
10 6
2 1 2
0 0 0
0 1 1
1 1 0
2 2 2
1 0 1
0 2 2
0 2 0
0 0 1
0 2 1
10 8
3 2 0
2 1 2
1 0 2
0 2 3
2 3 0
1 0 0
2 0 3
2 3 2
3 2 3
0 0 0
10 8
0 2 2
2 0 1
2 0 2
2 2 1
2 2 0
0 2 1
1 1 1
0 1 2
0 2 0
1 1 2
10 9
2 3 1
3 0 0
3 1 3
2 0 0
1 1 1
3 3 2
1 0 1
1 2 1
3 3 0
2 1 1
10 4
3 0 3
1 3 1
3 2 2
0 0 2
2 1 2
2 2 2
0 1 3
1 0 2
0 2 2
1 0 1
10 7
2 0 0
0 2 0
0 0 1
2 1 0
2 2 0
2 1 1
0 2 2
1 2 1
1 2 0
1 1 1
10 4
3 3 2
0 3 3
1 1 0
1 2 0
0 1 3
2 3 3
1 0 2
2 0 2
0 0 1
1 3 3
10 7
0 1 0
0 0 1
1 0 1
0 2 2
0 1 1
0 1 2
1 2 2
1 0 2
2 2 2
1 1 2
10 9
2 0 1
2 2 2
0 0 0
0 0 2
0 1 1
2 2 1
2 2 0
1 2 0
1 1 1
1 0 0
10 9
2 0 1
2 1 2
0 0 2
1 0 1
1 1 0
1 1 1
1 2 1
0 1 1
0 0 1
2 0 2
10 9
1 0 1
0 0 0
2 1 0
0 1 1
2 0 0
1 0 0
0 2 1
0 0 1
1 2 2
2 1 2
10 6
0 1 2
1 2 2
2 1 1
0 1 0
1 2 0
2 0 2
0 0 0
2 2 1
0 0 1
1 0 0
10 4
1 1 0
0 2 2
2 1 0
0 0 1
0 0 2
1 2 1
2 2 1
2 0 0
1 2 0
2 0 2
10 4
1 0 3
0 3 0
2 3 3
1 3 1
3 1 3
2 3 2
1 1 0
0 1 3
2 2 1
1 2 1
10 8
1 0 2
2 2 2
0 1 2
2 1 2
0 0 0
2 1 1
2 2 0
1 0 1
1 2 2
0 0 2
10 9
0 0 0
1 2 2
2 0 1
1 1 2
1 1 0
2 1 1
1 1 1
2 1 0
1 0 1
1 0 2
10 8
2 2 1
0 2 2
2 0 1
1 1 0
1 2 2
2 0 2
2 0 0
1 0 1
0 1 1
0 1 2
10 2
3 1 2
0 0 2
1 2 2
2 1 0
2 0 3
1 0 1
1 1 2
2 0 0
2 2 0
1 1 1
10 5
0 1 1
1 2 1
0 0 2
1 2 0
1 1 1
2 2 2
1 0 0
1 0 2
2 1 1
1 0 1
10 8
3 0 3
0 1 1
2 2 1
2 0 1
0 0 0
1 1 0
0 2 3
3 3 1
3 1 2
3 2 0
10 6
0 0 0
2 0 3
3 1 0
2 3 1
0 3 3
1 3 0
2 1 2
1 0 1
2 3 3
0 0 3
10 6
0 2 1
2 3 3
2 1 3
3 3 0
3 2 1
1 0 1
3 2 0
1 1 1
1 3 1
3 3 1
10 5
0 1 1
1 0 2
1 2 2
1 0 1
2 1 2
0 1 2
2 2 1
2 0 0
2 0 2
1 1 0
10 7
0 1 1
0 2 2
1 1 0
1 1 2
0 1 2
2 1 1
0 1 0
0 0 0
2 1 2
1 2 0
10 3
0 3 2
0 2 0
2 1 0
0 2 2
2 3 0
3 0 1
2 0 2
0 1 3
2 3 2
2 1 1
10 4
1 0 0
2 1 0
2 1 1
2 0 1
1 2 0
1 2 2
2 2 1
1 1 1
0 0 0
0 2 0
10 3
1 0 1
0 1 1
2 3 3
2 1 3
3 2 2
3 0 0
1 1 3
2 3 2
1 1 2
0 3 1
10 7
2 2 1
2 0 0
0 2 0
0 2 1
3 0 3
1 0 1
2 2 0
3 3 1
1 1 2
3 2 2
10 2
1 1 1
0 1 3
1 0 2
3 3 3
0 0 0
2 0 1
2 1 2
2 1 1
0 1 2
0 3 2
10 4
0 1 0
2 0 2
2 2 1
2 1 0
0 2 0
1 2 0
1 0 0
2 2 2
0 2 1
2 2 0
10 3
0 0 1
1 0 2
2 0 0
1 2 2
0 1 2
1 2 0
1 0 0
2 1 2
2 0 1
0 1 1
10 9
0 2 2
0 1 1
3 1 1
1 3 3
0 0 1
3 0 1
3 2 2
1 0 0
3 2 3
1 3 1
10 6
2 0 0
2 0 2
2 1 2
2 2 2
1 1 1
0 0 1
0 1 1
0 2 1
0 0 0
1 0 0
10 6
2 0 3
3 0 0
3 2 1
1 1 3
2 1 3
2 0 1
1 0 3
3 2 3
1 2 3
0 3 2
10 4
2 2 1
0 1 0
1 1 2
2 0 2
1 2 1
0 1 1
0 2 0
1 2 2
0 2 2
1 0 1
10 6
3 1 1
2 2 0
2 1 1
3 1 0
3 2 2
0 1 3
0 0 0
0 2 2
0 3 0
0 2 3
10 5
1 1 2
2 1 0
2 1 2
2 2 1
2 1 1
2 0 0
2 2 0
1 1 1
1 2 1
1 0 2
10 9
3 1 3
3 3 0
2 0 2
0 2 3
2 3 0
0 1 2
1 0 1
0 2 0
3 2 0
0 1 0
10 9
1 1 3
0 3 0
1 2 2
3 1 0
2 0 3
0 2 0
2 0 2
3 3 3
1 1 2
0 2 1
10 8
3 1 0
2 2 1
0 3 1
1 1 3
1 3 3
3 2 2
3 2 1
1 0 3
1 0 1
3 1 3
10 3
0 1 2
2 1 1
3 0 0
3 2 3
3 0 3
3 3 3
0 2 1
0 0 1
3 1 3
2 2 0
10 7
1 0 1
0 2 1
1 1 0
1 1 2
0 2 2
0 0 2
1 2 2
0 0 0
0 0 1
2 2 0
10 2
0 1 0
1 2 2
1 1 0
0 1 2
2 1 1
0 0 1
1 0 2
2 0 2
0 2 0
0 1 1
10 2
2 3 0
3 1 2
2 1 0
3 2 3
3 3 3
0 2 2
3 2 0
1 2 1
0 0 2
3 2 2
10 8
1 0 2
1 2 2
0 2 2
1 0 1
1 1 1
1 0 0
2 0 2
1 1 0
0 0 1
0 0 0
10 6
1 2 1
1 1 0
0 2 2
2 2 0
1 0 0
1 1 2
2 2 1
0 0 2
2 0 2
2 1 2
10 4
0 1 1
1 0 2
1 2 1
2 2 3
3 0 1
0 2 0
0 3 3
3 1 1
3 2 3
2 1 2
10 8
2 3 0
0 3 1
1 0 1
2 0 3
0 2 0
3 1 0
2 3 3
1 1 1
2 1 0
0 3 3
10 9
1 1 0
2 2 0
1 0 1
0 1 1
2 1 1
1 2 0
2 0 0
0 1 2
1 2 1
1 1 2
10 7
2 0 0
1 2 1
1 0 0
1 1 1
0 1 2
0 0 1
0 1 1
0 2 0
1 0 2
1 0 1
10 4
1 0 0
1 0 2
1 2 1
2 2 2
1 1 0
2 2 0
0 2 2
0 0 2
0 1 0
0 1 2
10 6
1 3 3
2 1 1
0 3 0
3 1 0
2 2 2
3 1 1
0 0 2
3 2 1
1 3 0
3 1 3
10 7
0 0 0
1 2 0
2 2 2
1 2 2
1 1 1
1 1 0
1 0 1
1 2 1
2 2 0
0 1 2
10 9
0 2 1
2 0 1
1 1 2
1 2 0
1 1 0
2 0 2
0 0 1
0 1 2
1 1 1
2 2 0
10 2
1 2 1
2 2 0
0 1 2
0 0 1
1 0 2
1 1 1
0 0 2
1 0 1
2 1 2
2 1 1
10 6
2 0 1
2 1 1
2 0 0
3 3 3
1 1 3
1 3 3
0 2 1
0 2 0
2 3 0
1 2 1
10 6
1 0 0
0 2 1
2 1 3
0 2 3
2 0 1
1 3 2
2 1 1
3 2 3
2 2 2
3 3 3
10 5
0 0 1
2 2 0
0 1 2
1 0 1
2 2 1
1 0 2
0 0 0
2 0 0
1 2 1
2 1 2
10 9
3 2 0
1 2 0
3 1 0
3 3 1
2 1 1
0 0 0
0 2 2
1 1 1
1 3 1
3 0 0
10 6
3 2 0
0 0 3
3 1 1
2 3 3
3 3 1
0 3 0
2 0 1
3 0 3
2 1 3
1 0 2
10 3
2 1 1
1 2 1
0 0 2
0 0 1
2 2 2
0 2 0
1 0 0
1 1 0
1 1 2
1 2 0
10 9
1 0 1
1 2 1
1 2 0
1 2 2
1 0 0
0 0 2
0 2 2
2 1 1
0 1 1
0 2 0
10 8
1 1 1
0 0 2
2 0 2
3 2 0
0 3 0
3 1 2
1 2 2
3 2 2
0 1 0
1 0 2
10 9
3 1 0
3 2 2
2 3 1
3 3 3
3 3 0
1 0 1
3 0 0
0 1 2
1 3 3
1 2 2
10 2
1 0 1
2 0 0
0 0 0
2 2 2
0 2 1
2 0 1
1 1 2
1 2 0
1 1 0
1 0 0
10 2
2 1 1
2 3 2
3 0 0
1 1 3
0 3 2
1 0 2
0 0 0
2 0 1
1 0 3
2 0 3
10 9
1 0 3
1 3 3
1 3 0
2 1 0
1 1 2
3 0 2
0 3 1
0 3 0
0 2 2
2 0 2
10 4
2 1 0
0 2 2
0 1 2
2 1 1
2 2 0
0 2 0
2 0 0
1 1 1
1 0 0
2 2 1
10 9
1 1 2
1 2 0
2 2 1
1 1 1
2 1 1
1 0 0
1 0 1
0 2 2
0 2 0
0 1 2
10 3
1 2 3
3 2 3
3 0 0
1 3 1
1 3 3
2 2 1
1 2 0
3 1 0
0 0 3
0 1 2
10 7
1 1 0
3 2 3
2 0 2
1 3 0
0 2 3
3 1 0
0 3 2
3 0 0
0 3 0
3 2 0
10 4
2 0 2
3 0 1
2 2 0
1 3 1
1 2 1
3 1 2
0 0 3
1 1 3
3 1 3
2 1 0
10 2
2 2 3
0 0 1
3 3 3
2 1 0
1 0 3
0 3 0
0 2 1
1 1 2
0 1 3
1 0 2
10 5
0 2 1
1 0 0
1 2 2
1 1 1
2 2 1
1 0 1
2 1 0
1 2 1
0 2 2
2 0 0
10 3
1 2 2
3 2 2
1 0 0
1 3 2
3 0 0
0 0 2
1 0 3
0 2 1
0 2 2
1 2 3
10 4
2 1 1
1 1 2
2 1 0
2 0 0
0 1 1
0 2 0
1 0 0
0 1 2
0 0 2
1 2 0
10 9
0 0 2
0 1 0
1 2 0
1 1 2
0 0 1
1 0 2
2 2 1
1 2 1
2 0 0
1 1 1
10 4
1 2 0
1 0 1
0 0 2
1 0 2
0 1 2
2 0 0
1 1 2
0 2 2
0 2 0
2 0 2
10 3
0 2 1
1 2 0
1 3 1
2 0 2
2 1 3
3 1 2
0 0 0
0 0 3
3 3 0
3 1 0
10 6
0 3 0
0 2 3
2 1 3
1 3 2
1 2 0
1 2 3
2 0 0
2 1 1
0 0 1
1 0 3
10 6
3 0 1
3 3 0
2 2 2
3 2 2
1 3 3
3 2 0
3 3 2
0 0 3
2 0 3
0 3 1
10 5
2 2 2
1 2 2
0 0 0
2 2 1
2 0 0
0 1 0
2 0 2
2 0 1
0 1 1
0 2 1
10 2
0 2 0
1 1 1
2 2 1
1 2 2
1 0 1
2 1 2
2 1 1
2 0 1
0 0 2
0 0 0
10 7
0 3 2
2 1 0
1 2 1
1 3 0
2 0 1
1 0 0
0 2 0
2 0 3
0 0 1
1 1 2
10 4
3 1 1
1 3 3
3 3 3
1 1 2
3 0 2
1 3 0
3 1 3
3 0 1
0 3 3
2 3 0
10 7
3 1 2
1 1 2
1 1 1
0 2 3
1 0 0
1 0 3
0 2 1
1 0 2
2 1 0
0 3 2
10 5
1 2 1
2 2 1
0 1 1
1 0 1
2 2 2
2 2 0
2 1 0
1 1 2
1 2 0
0 2 0
10 5
2 0 1
1 1 1
2 0 0
0 1 1
0 0 2
2 2 0
0 2 2
0 1 0
0 0 0
1 2 2
10 3
2 1 0
0 0 0
0 1 1
2 1 1
1 2 0
2 0 2
0 2 2
1 1 0
2 2 1
1 2 2
10 8
1 0 0
0 2 2
0 0 2
2 0 0
0 1 2
2 0 1
0 1 0
1 1 2
2 0 2
2 2 1
10 4
2 2 0
0 3 0
1 3 2
3 2 0
2 0 3
0 3 1
1 2 0
0 1 2
1 1 2
2 0 2
10 5
2 0 0
3 2 1
0 2 1
0 2 3
3 1 0
1 1 2
0 0 0
0 3 3
1 0 1
2 0 3
10 7
2 2 2
2 1 1
1 2 1
2 0 3
0 2 2
3 0 3
0 1 2
2 2 0
2 2 3
3 0 1
10 9
2 1 0
2 0 1
2 2 0
1 1 1
2 1 2
2 2 1
1 2 1
1 0 1
1 1 2
1 0 2
10 9
2 2 1
0 1 0
2 0 1
1 0 0
2 2 0
2 1 0
1 2 0
1 2 2
1 1 0
0 0 0
10 6
2 0 1
1 3 1
3 2 1
1 1 2
2 2 1
0 0 2
3 0 2
3 2 3
1 2 2
1 0 0
10 5
1 0 1
1 1 1
3 1 2
2 1 1
2 0 1
3 0 2
1 2 1
2 0 2
0 3 1
1 1 3
10 3
2 0 2
1 1 2
0 0 1
1 2 2
1 0 1
0 2 1
2 2 2
2 0 0
0 1 0
1 1 0
10 6
0 1 0
1 0 1
1 2 2
2 2 0
1 1 1
1 0 0
0 1 1
1 2 0
0 1 2
2 1 0
10 8
1 1 2
0 1 0
1 0 1
0 0 2
3 0 1
2 0 0
3 1 1
0 2 0
1 2 3
0 3 0
10 3
0 1 0
2 2 1
0 0 0
2 2 0
2 1 0
2 1 2
1 0 2
1 2 1
0 2 0
0 2 2
10 5
2 3 0
2 2 0
3 0 3
1 1 2
0 0 2
0 2 0
1 1 1
3 3 0
2 1 3
0 0 0
10 9
0 2 2
0 2 0
2 0 0
0 0 1
1 0 2
1 2 0
1 2 2
2 1 1
2 0 1
1 2 1
10 8
1 0 1
1 0 2
2 2 1
0 2 1
2 1 1
2 2 2
0 2 0
1 1 2
1 2 1
2 0 2
10 5
1 2 0
3 3 1
2 3 2
3 1 0
2 0 0
0 2 2
0 1 3
1 0 2
2 3 0
3 0 3
10 3
3 2 1
3 1 0
2 1 3
0 1 2
2 2 1
3 3 2
3 1 1
3 0 1
1 1 2
0 1 3
10 9
1 3 3
3 1 1
3 3 1
3 3 3
2 1 3
0 3 2
0 0 0
1 2 0
1 1 1
3 2 3
10 6
3 1 1
0 0 1
0 3 2
0 2 3
0 0 3
1 1 2
0 1 0
3 3 0
0 3 3
0 3 1
10 3
2 0 2
0 1 0
2 0 0
1 0 0
1 2 2
0 0 2
2 1 1
1 0 2
0 1 2
2 2 2
10 4
0 0 1
0 2 0
2 1 0
0 1 0
1 1 0
1 0 2
0 0 0
2 1 1
2 2 1
1 2 2
10 3
3 3 2
1 1 3
0 2 2
3 0 1
3 0 2
3 1 1
0 0 2
1 2 1
2 2 1
3 2 3
10 7
1 1 2
1 0 3
3 2 1
1 3 0
2 2 1
0 1 0
0 0 1
0 1 3
2 2 3
3 1 1
10 9
3 1 3
2 2 2
0 3 1
2 3 3
3 0 3
1 0 0
3 1 1
1 2 0
0 0 1
1 0 1
10 2
2 2 2
0 0 2
1 1 2
2 1 0
1 1 1
2 2 1
2 0 1
1 0 2
0 2 2
1 0 0
10 9
1 0 0
1 1 0
1 2 0
1 2 1
2 2 1
1 0 1
0 2 1
2 1 2
0 0 2
2 1 0
10 9
1 1 0
0 0 2
2 0 0
0 1 0
2 1 0
2 0 2
0 2 1
1 2 1
0 1 1
1 1 1
10 3
2 1 0
0 2 1
0 1 0
2 2 2
2 0 0
2 1 1
1 1 2
0 0 2
1 1 0
2 2 1
10 6
0 1 0
1 0 1
1 2 2
2 0 2
1 0 2
0 0 0
2 1 0
2 0 1
2 0 0
1 0 0
10 8
1 1 1
2 1 2
0 2 0
2 1 1
1 1 0
0 1 2
2 2 1
2 2 0
2 0 2
2 1 0
10 2
0 0 0
2 0 2
2 1 1
1 1 1
1 0 1
0 0 2
2 1 2
2 2 2
1 2 0
1 2 1
10 4
0 3 1
3 1 1
3 1 3
2 1 3
1 3 1
0 2 3
2 1 0
1 1 2
1 0 1
0 1 2
10 5
0 0 1
0 2 2
2 0 2
0 0 0
2 1 0
0 2 1
2 1 2
0 2 0
0 0 2
2 2 1
10 7
1 2 2
1 2 1
0 1 1
0 0 2
0 1 2
2 1 1
1 1 0
1 0 2
2 0 1
1 1 2
10 5
2 0 1
0 0 1
0 1 2
1 0 1
2 2 1
2 1 2
1 1 0
1 2 2
0 0 2
2 2 2
10 9
2 1 3
3 0 3
2 3 3
1 3 1
3 1 3
2 1 2
0 0 2
3 0 0
2 3 0
0 3 2
10 9
1 2 1
1 3 0
0 2 2
3 1 0
1 3 3
3 3 0
1 1 3
3 3 3
1 1 0
3 1 3
10 6
1 1 2
3 2 0
3 0 2
0 2 3
1 1 1
1 1 0
3 1 3
3 3 0
1 2 2
2 2 3
10 9
0 1 0
0 1 2
1 0 1
1 1 1
1 0 2
1 0 0
0 2 1
2 1 2
2 2 2
1 2 1
10 9
1 2 0
2 2 0
0 1 2
2 1 1
1 2 1
2 0 1
0 0 0
1 0 0
0 2 2
0 2 1
10 3
1 1 0
2 1 1
0 2 0
3 2 3
1 3 1
3 0 2
2 0 2
3 2 2
0 3 3
0 3 2
10 9
2 0 0
2 1 2
1 2 1
2 1 0
1 2 2
2 2 2
1 0 2
2 2 0
0 1 2
0 0 1
10 2
0 2 2
0 0 2
0 1 2
1 0 2
2 0 0
2 1 2
0 0 0
2 2 0
2 0 2
0 1 1
10 2
1 2 1
0 1 2
2 1 1
2 0 0
1 1 1
1 0 1
2 2 2
0 2 0
0 2 2
2 1 2
10 9
3 0 2
0 3 3
0 3 1
0 2 1
2 0 3
1 2 1
2 0 1
2 2 3
2 1 3
0 3 2
10 4
2 1 2
0 1 0
1 1 0
2 1 1
0 2 2
2 0 2
0 1 1
0 0 2
2 2 1
0 0 0
10 9
0 0 2
2 3 3
3 0 1
1 3 2
0 2 1
2 1 3
1 0 3
1 1 0
2 3 1
3 3 2
10 9
3 2 2
2 0 3
1 3 2
0 3 0
1 2 2
2 3 1
1 1 2
1 2 1
2 2 0
0 0 0
10 6
1 0 1
0 0 2
0 3 1
2 3 3
0 1 3
1 1 3
1 1 0
1 2 2
1 3 2
2 0 1
10 6
2 3 2
1 0 1
1 0 2
2 2 3
1 2 1
2 0 0
3 0 2
2 1 0
3 2 0
3 3 0
10 6
1 2 0
0 1 0
2 2 1
2 2 2
0 2 2
0 0 2
0 0 1
2 2 0
1 0 1
0 2 0
10 7
0 1 1
2 0 1
0 1 2
1 1 0
2 1 1
1 2 2
1 1 1
1 0 2
1 2 0
2 2 1
10 8
2 3 3
1 3 3
2 0 0
3 2 3
0 3 1
3 2 2
3 3 3
3 1 1
0 2 0
0 0 3
10 6
3 3 2
1 2 1
1 1 2
3 2 1
0 3 3
2 0 1
0 2 3
0 3 1
2 3 0
3 1 2
10 5
2 1 1
2 2 0
1 0 0
0 1 0
0 0 1
2 2 2
2 1 2
1 2 1
2 0 1
0 2 1
10 4
2 2 2
3 3 2
0 0 0
0 1 1
1 2 1
1 3 1
0 3 3
1 2 3
0 2 1
1 3 0
10 3
1 2 1
2 1 2
2 2 2
0 2 0
2 2 1
2 2 0
0 1 2
1 0 2
0 2 2
2 0 0
10 7
2 1 2
2 2 3
0 1 1
2 3 2
3 3 2
0 1 2
0 0 3
1 3 2
3 2 0
1 0 3
10 9
1 0 0
0 3 0
1 3 1
1 3 2
2 0 3
3 0 2
3 2 0
3 1 0
3 0 3
1 3 0
10 7
3 2 2
2 2 2
2 1 0
1 2 2
2 1 2
3 0 1
0 0 3
2 0 1
2 3 0
3 0 2
10 3
1 2 2
2 1 0
0 1 2
2 0 0
0 1 0
0 2 2
0 1 1
0 0 1
2 2 0
0 2 1
10 4
2 3 0
2 1 0
2 1 3
0 0 2
3 0 1
2 2 0
3 2 2
2 0 2
2 2 2
1 2 1
10 3
2 2 1
2 1 1
0 2 1
1 1 2
1 2 1
2 0 0
2 0 2
1 1 0
0 0 1
0 1 0
10 2
2 2 1
1 1 2
1 0 0
2 0 2
1 2 0
2 1 0
1 2 2
1 0 2
2 0 0
0 1 2
10 4
0 1 0
1 2 0
1 0 0
2 2 2
0 1 2
2 0 0
0 0 2
0 0 0
2 1 0
2 1 2
10 9
0 1 2
1 1 0
2 2 1
1 2 1
2 1 1
2 2 2
0 0 0
1 0 2
0 2 2
1 0 1
10 4
2 0 1
0 0 1
1 0 0
2 2 1
2 0 2
2 1 2
0 1 0
2 1 0
0 0 2
1 0 2
10 6
1 1 0
0 1 2
2 1 0
0 0 2
2 1 1
2 0 1
2 0 2
0 1 0
1 0 2
1 0 1
10 8
0 1 2
0 0 1
0 0 0
1 1 2
2 0 0
2 2 1
1 2 1
2 1 2
1 0 1
1 0 0
10 5
0 1 0
1 3 1
2 0 3
3 1 2
3 2 1
1 2 1
1 0 0
3 2 3
0 0 0
2 3 1
10 2
1 2 0
2 2 0
1 0 0
1 2 2
0 1 2
2 1 0
0 1 1
1 1 2
1 2 1
2 1 2
10 7
1 1 2
1 1 0
0 0 1
2 1 2
2 0 2
1 2 2
2 2 1
0 0 0
1 2 0
1 2 1
10 2
2 1 2
1 3 2
0 3 0
2 0 1
1 2 0
0 3 3
0 1 0
1 2 1
3 0 0
3 3 0
10 8
1 2 3
2 3 1
0 1 3
3 1 2
0 3 0
0 2 1
2 2 0
3 1 3
1 3 3
1 3 2
10 2
0 2 0
1 1 1
0 0 1
0 0 0
1 0 2
0 2 2
2 0 2
2 2 0
1 2 1
0 2 1
10 9
3 0 2
2 1 3
2 0 2
1 3 0
1 3 2
1 0 2
3 1 1
2 0 1
1 1 3
3 3 3
10 8
1 1 2
2 0 0
0 0 1
2 1 0
0 1 1
0 2 1
2 1 2
2 2 2
0 0 0
2 2 0
10 2
2 2 1
1 0 1
1 2 0
1 1 1
0 1 0
2 0 0
2 1 2
0 0 0
2 0 2
2 0 1
10 3
1 2 0
3 3 2
0 0 1
0 0 0
2 3 2
1 1 0
0 1 3
1 3 2
1 2 3
3 0 2
10 8
1 2 2
2 2 2
1 0 0
2 3 0
3 3 3
3 1 1
0 2 2
0 0 1
2 1 3
3 2 1
10 2
3 1 3
3 0 3
0 3 3
1 2 0
1 0 1
2 1 3
2 2 1
0 0 0
3 1 1
2 3 2
10 3
3 3 2
1 2 1
3 1 2
0 3 0
1 1 3
0 3 3
1 3 0
0 2 3
2 3 0
1 0 1
10 3
1 1 0
2 2 0
2 0 1
0 2 0
1 1 2
1 2 2
0 1 0
1 0 2
2 0 2
2 1 1
10 9
1 0 2
0 1 1
0 3 2
2 1 3
3 0 3
1 1 0
0 1 2
2 3 0
1 3 3
1 1 3
10 9
1 0 0
1 0 1
1 1 1
2 2 0
1 1 2
0 0 0
1 1 0
2 1 1
2 1 2
1 2 2
10 5
0 0 1
2 1 0
1 2 0
2 0 0
1 0 2
0 2 1
0 0 0
0 1 2
0 1 1
2 2 0
10 5
1 1 2
0 0 1
2 1 1
0 1 2
1 0 0
2 0 1
2 1 2
0 1 1
1 2 0
1 2 2
10 3
0 1 1
0 0 0
2 0 0
0 0 2
1 1 1
0 0 1
1 0 0
1 0 2
1 2 1
2 2 2
10 6
1 3 0
1 2 2
2 3 1
0 0 3
2 0 0
3 0 3
1 1 2
0 0 1
0 2 0
2 0 1
10 9
0 3 1
3 2 3
0 3 3
3 1 0
0 2 3
1 0 0
1 0 3
0 1 2
1 1 3
0 2 0
10 6
0 2 1
1 2 1
2 3 3
2 2 3
3 1 1
2 3 2
2 2 1
1 3 1
0 0 1
3 2 1
10 8
2 0 0
0 0 1
2 1 2
2 0 1
1 0 2
1 0 0
2 1 1
2 2 2
0 0 0
0 1 1
10 6
2 0 0
0 1 1
1 0 1
0 2 0
1 2 1
1 2 2
2 0 1
1 0 2
2 0 2
0 1 0
10 3
3 2 0
1 2 2
3 1 0
3 1 1
1 3 0
1 0 1
0 2 0
1 3 2
1 2 0
2 3 2
10 2
2 2 1
1 0 1
2 0 2
2 1 0
2 2 0
1 2 2
2 1 1
0 0 1
0 2 2
1 1 2
10 4
3 0 3
2 2 1
3 1 3
1 1 0
3 1 1
1 2 0
3 2 0
1 3 3
0 0 0
2 3 0
10 5
2 0 2
1 1 0
3 0 2
3 0 1
0 2 3
3 0 0
0 2 1
2 1 1
1 2 0
3 1 2
10 7
1 1 0
2 2 3
0 1 3
2 0 1
1 0 3
3 3 0
1 2 2
0 1 0
1 2 3
3 2 3
10 3
1 1 1
0 0 0
0 2 1
2 1 0
0 2 2
2 2 0
1 1 2
1 2 2
0 2 0
2 2 1
10 9
1 0 2
0 2 0
1 0 1
0 0 2
2 0 0
1 1 1
0 1 0
1 1 0
0 0 0
2 1 0
10 3
2 0 0
0 0 2
0 2 2
1 2 0
1 1 2
2 2 1
2 1 2
2 2 2
2 0 2
1 1 1
10 5
2 0 0
0 2 0
0 0 2
2 0 2
2 0 1
0 1 0
2 1 1
1 1 1
0 0 1
1 1 0
10 5
0 2 1
1 3 3
0 3 2
0 2 3
0 0 3
2 0 0
3 1 0
0 2 0
2 1 0
1 1 1
10 5
2 2 3
1 3 3
2 1 3
2 2 1
3 2 2
0 1 2
3 1 3
0 2 3
1 2 1
1 0 1
10 9
0 2 2
0 2 1
0 0 2
0 1 2
1 0 2
1 2 2
1 1 1
0 1 0
1 0 0
2 2 0
10 6
1 0 1
0 0 1
0 2 1
1 0 2
0 2 2
0 0 0
0 1 2
0 1 0
1 1 1
2 0 1
10 9
1 3 2
3 3 2
0 3 1
2 3 0
1 3 3
2 3 1
2 3 2
3 1 0
3 0 0
1 3 1
10 9
2 2 2
1 0 0
2 1 2
2 2 1
0 1 2
1 0 1
2 0 2
0 2 0
1 1 0
1 1 1
10 5
0 0 2
2 2 2
0 0 0
2 1 0
1 2 2
2 1 2
2 0 2
0 2 1
1 0 2
0 1 2
10 5
2 3 3
3 1 1
3 0 3
0 1 2
0 2 2
3 1 3
0 0 3
2 0 3
3 3 0
3 3 2
10 4
2 2 0
1 1 2
0 0 0
0 1 2
0 2 2
0 2 1
1 0 0
1 2 1
2 0 2
1 1 1
10 8
2 1 3
0 1 2
1 2 1
3 1 3
1 3 0
1 2 3
2 0 3
0 0 2
0 1 0
2 2 2
10 5
2 2 1
2 2 2
1 1 1
1 2 2
0 2 2
0 1 0
1 1 2
1 0 0
2 1 0
2 1 2
10 9
3 0 1
0 0 0
3 3 1
1 0 1
2 2 3
3 3 0
0 2 2
1 2 2
0 3 3
2 3 2
10 8
3 1 3
3 0 1
1 0 1
3 1 0
1 3 3
2 1 1
1 3 1
1 1 2
3 2 1
3 3 0
10 8
1 2 1
0 1 0
2 1 0
2 0 1
1 2 0
0 2 0
2 2 0
2 1 1
0 0 2
1 1 0
10 8
2 0 3
3 2 3
0 0 1
2 1 0
0 1 2
0 0 2
2 2 1
1 1 3
1 3 0
3 1 3
10 6
2 0 1
2 3 2
0 2 1
1 1 2
1 0 1
3 0 1
0 0 2
3 3 2
1 2 0
2 0 2
10 3
0 1 3
0 3 1
0 3 3
1 3 2
2 0 2
0 2 2
0 2 1
2 3 2
3 2 0
0 2 0
10 5
1 0 1
0 2 2
0 0 1
2 2 1
1 1 1
1 2 0
1 0 2
1 2 1
0 1 0
1 1 2
10 2
1 0 2
0 0 0
0 0 2
2 0 0
0 1 1
1 2 1
0 2 0
2 0 2
0 1 0
2 2 2
10 2
3 0 1
2 1 2
2 3 3
0 0 1
3 2 3
3 0 0
2 3 1
3 1 1
0 1 0
0 1 1
10 4
1 0 2
0 1 3
0 0 2
3 2 0
3 3 2
3 1 2
1 3 1
3 1 0
1 1 3
3 3 3
10 5
3 1 3
2 3 3
0 3 0
2 0 3
3 2 2
3 2 1
1 0 2
1 2 1
3 1 1
0 1 2
10 4
1 0 1
0 1 0
1 2 2
2 2 0
1 2 0
0 1 2
0 2 2
2 0 0
0 0 2
1 1 2
10 3
1 3 0
1 2 1
1 0 3
0 1 2
1 3 1
2 0 0
3 2 2
1 0 1
1 2 3
2 0 3
10 7
3 3 1
0 0 2
0 3 0
0 1 2
1 1 0
0 2 2
2 3 1
2 1 1
1 0 1
0 3 1
10 9
2 0 1
1 1 3
3 2 2
2 3 2
1 1 0
3 3 2
1 0 1
3 2 3
2 1 3
2 3 3
10 4
2 0 0
2 2 0
0 0 0
1 0 1
1 2 2
2 1 2
2 0 1
0 1 0
2 1 0
0 0 1
10 7
2 2 0
3 1 1
0 0 2
1 3 2
1 0 2
3 1 2
1 3 0
1 0 3
2 2 1
2 1 2
10 5
3 2 1
2 1 2
0 0 1
3 0 3
1 2 1
2 1 0
0 1 0
0 1 2
3 3 1
0 3 3
10 4
1 1 2
0 2 0
1 2 1
0 2 1
1 0 2
0 0 2
2 1 1
0 2 2
1 1 1
0 0 1
10 9
3 2 2
0 2 0
2 3 0
2 0 2
0 2 1
3 2 0
2 0 0
2 1 3
3 1 0
1 2 2
10 4
0 2 2
3 3 3
2 2 0
1 0 3
2 2 3
2 0 0
0 2 1
3 2 1
0 1 0
2 1 3
10 7
0 3 0
0 2 0
2 3 0
3 1 3
1 3 0
1 3 2
0 0 1
2 3 2
1 2 1
1 0 1
10 9
3 0 3
2 3 2
2 1 0
2 2 3
2 1 3
3 2 0
3 2 1
2 0 2
3 0 2
3 1 3
10 2
1 0 3
3 0 3
0 2 0
2 2 2
1 1 0
3 2 0
2 2 0
2 3 2
3 3 0
1 1 3
10 7
3 3 3
2 2 2
1 1 1
1 3 1
2 2 3
1 2 0
2 3 0
3 1 2
1 2 3
2 0 1
10 5
0 1 1
2 3 0
0 2 3
2 2 0
1 1 3
1 2 2
0 2 0
0 0 3
3 0 3
1 3 3
10 7
0 1 3
0 0 1
2 2 0
2 1 2
1 3 1
2 3 1
0 1 0
1 1 2
2 2 3
3 0 2
10 3
3 2 0
0 3 1
1 2 3
3 3 2
2 1 0
2 2 2
3 2 1
1 0 2
3 1 3
2 0 3
10 2
2 0 0
0 2 1
2 2 1
0 2 2
0 1 2
1 2 0
1 1 1
1 0 0
0 2 0
2 0 1
10 2
0 2 1
1 1 0
1 0 1
1 2 0
2 1 1
0 1 1
1 0 0
2 0 2
0 1 2
0 2 0
10 6
1 0 1
1 0 0
1 2 1
2 0 1
1 0 2
1 2 2
0 1 0
0 0 2
1 2 0
0 1 1
10 5
2 1 0
1 2 0
2 2 0
0 1 2
0 2 0
2 0 1
2 0 2
1 0 0
2 2 1
2 1 2
10 8
0 0 2
2 0 2
2 0 0
0 2 1
1 1 2
1 0 0
2 1 2
0 1 2
1 2 2
0 2 2
10 9
0 0 1
1 2 0
2 2 1
1 1 2
1 1 1
0 2 0
2 0 2
2 1 1
0 0 0
0 1 0
10 3
2 2 1
1 0 1
3 0 0
0 3 0
2 0 3
1 1 3
1 0 2
2 1 2
3 3 1
0 3 3
10 6
0 0 0
0 1 0
1 0 0
2 0 1
1 1 0
2 1 2
0 0 1
1 1 1
0 2 2
0 2 0
10 5
0 0 3
0 3 2
3 2 3
0 2 1
3 0 2
0 0 0
1 2 1
3 3 0
0 1 3
0 0 2
10 9
0 1 0
1 2 3
2 0 1
2 2 2
1 0 2
1 2 0
3 2 1
1 3 0
3 2 3
2 1 2
10 6
0 1 0
0 0 2
1 1 1
0 0 1
0 0 0
2 1 1
2 0 2
1 1 0
0 2 1
1 2 0
10 9
3 0 0
0 2 0
1 3 2
3 0 2
2 1 3
3 1 2
0 0 3
2 3 1
2 3 3
0 1 0
10 2
2 0 2
1 2 2
0 2 2
0 2 1
0 2 0
0 1 2
1 1 1
0 0 1
0 1 0
1 2 0
10 7
1 1 0
2 1 1
0 1 1
1 2 2
0 0 2
2 1 2
2 2 0
0 0 0
1 1 1
1 0 1
10 6
1 2 3
1 2 2
0 2 2
3 1 1
1 0 3
3 2 1
0 0 0
2 1 0
3 3 0
0 1 3
10 9
0 1 0
0 3 3
1 1 2
2 0 0
0 1 3
1 2 1
1 2 3
2 2 2
3 0 0
2 3 3
10 7
0 1 1
2 0 2
2 1 2
0 2 1
0 2 0
2 1 0
2 1 1
1 1 0
0 0 0
2 0 0
10 6
3 0 1
0 1 2
1 0 1
2 1 2
0 0 2
1 1 2
1 2 2
0 2 1
1 1 1
2 2 1
10 3
3 3 0
1 3 3
2 0 0
2 0 2
0 0 3
0 0 1
0 0 0
2 1 2
3 1 3
1 1 0
10 2
0 2 2
0 1 0
1 0 2
1 2 0
1 1 1
1 2 1
0 2 0
2 0 0
2 2 1
1 0 1
10 2
3 1 0
0 3 1
0 0 0
2 0 3
2 1 2
2 3 1
1 2 1
1 3 2
0 3 0
3 0 2
10 4
2 1 2
1 2 0
1 0 2
0 2 0
2 2 1
2 2 2
0 0 2
1 1 2
2 1 0
0 2 1
10 2
2 1 2
3 2 3
1 0 3
0 1 0
0 0 2
3 3 0
1 3 3
0 2 3
3 3 2
3 0 2
10 3
2 1 0
0 0 1
2 0 2
0 2 2
1 1 1
1 0 2
1 2 1
2 2 0
1 1 0
1 2 2
10 5
2 1 1
0 3 2
3 3 3
0 3 0
0 2 3
2 3 1
3 1 1
1 3 2
2 2 2
1 2 1
10 2
1 2 0
3 2 1
1 3 2
0 3 2
0 2 1
0 2 3
1 3 3
1 3 1
2 0 3
3 0 0
10 5
0 1 2
2 1 0
0 0 2
2 0 2
2 1 1
1 0 0
2 2 2
0 2 0
1 2 2
0 2 2
10 3
2 2 1
0 1 3
0 3 1
1 3 3
1 2 0
1 3 0
0 1 1
1 1 1
1 1 3
3 3 3
10 2
0 1 0
0 3 0
3 2 1
3 1 1
3 0 3
0 2 0
0 3 2
1 0 0
3 0 1
2 0 2
10 3
1 0 2
0 0 2
2 0 2
0 0 0
0 2 0
2 1 0
2 2 0
2 0 1
0 1 2
1 1 2
10 2
0 2 0
2 2 1
2 0 1
2 2 2
1 2 0
1 2 1
1 1 2
2 0 2
0 0 0
2 1 0
10 3
2 3 0
1 0 0
3 0 0
2 3 2
1 2 2
2 2 1
2 1 3
3 1 3
3 2 0
2 0 3
10 8
2 1 0
1 0 0
2 0 2
2 0 0
0 1 0
0 0 2
1 1 1
2 1 1
2 0 1
2 2 2
10 5
3 3 3
0 0 3
2 3 0
0 3 1
2 0 3
0 1 1
1 2 1
3 0 3
3 3 1
0 3 0
10 6
1 0 2
1 1 0
0 0 2
2 0 0
0 2 1
2 2 2
0 0 1
0 0 0
0 2 2
2 2 1
10 5
1 3 3
0 0 1
0 3 3
1 3 0
1 2 2
2 3 1
1 1 1
1 1 2
3 1 0
2 1 0
10 2
0 1 2
0 2 1
2 0 2
0 2 2
1 1 2
0 2 0
0 0 1
2 2 1
2 0 1
0 0 0
10 8
2 0 1
1 0 2
2 1 0
1 0 0
0 0 0
1 2 1
1 0 1
0 1 2
1 2 0
2 0 2
10 6
2 2 1
1 2 0
0 3 2
2 3 0
0 2 3
1 0 1
0 3 1
1 1 0
2 2 2
3 3 1
10 6
2 2 3
1 1 1
1 0 1
1 3 0
0 3 2
2 3 1
3 1 3
3 1 0
0 0 1
0 0 0
10 5
1 3 0
1 0 0
1 3 2
0 2 1
0 0 1
1 1 0
2 3 0
2 2 1
2 2 2
0 1 2
10 3
2 3 2
2 0 2
2 2 0
3 3 0
3 0 0
1 1 3
3 0 2
3 1 2
0 1 1
1 0 2
10 9
0 2 1
1 2 3
0 1 2
3 0 2
0 2 2
1 3 1
1 3 3
3 1 2
3 0 3
0 0 2
10 5
0 2 1
0 2 2
0 1 2
1 2 2
0 1 1
1 1 0
2 2 2
0 1 0
1 0 0
2 0 1
10 4
0 0 1
2 0 1
0 2 2
1 0 2
2 2 1
2 1 2
1 2 0
2 2 0
1 1 0
1 1 1
10 4
3 1 1
2 3 2
1 2 2
2 1 1
0 1 2
3 2 3
3 2 0
1 0 0
2 3 0
0 3 3
10 4
1 0 1
1 1 0
1 2 1
2 1 2
1 2 0
2 2 2
2 0 2
1 1 2
1 1 1
0 2 2
10 5
0 2 2
2 0 1
2 0 0
0 2 1
0 1 0
0 0 0
1 0 1
1 1 2
1 1 1
0 1 2
10 5
0 2 0
2 2 1
0 0 1
2 2 3
0 0 2
1 2 1
2 0 3
1 3 3
3 1 0
1 2 2
10 6
0 1 0
1 1 1
1 1 0
1 0 1
1 2 2
2 2 1
2 0 2
0 2 0
2 1 2
2 1 1
10 8
0 1 2
0 2 0
2 1 1
1 2 1
1 2 2
1 0 1
2 0 2
1 0 0
2 2 0
2 2 2
10 5
3 2 1
2 0 2
2 1 2
1 0 0
3 1 2
3 1 0
0 0 3
0 2 3
2 3 0
1 1 3
10 2
2 2 2
1 2 2
0 0 0
0 2 2
0 1 1
2 1 1
1 1 1
1 2 1
1 0 2
2 0 1
10 6
1 2 0
1 0 1
1 1 1
2 0 1
2 0 2
1 2 2
0 1 1
1 1 2
2 0 0
0 1 0
10 9
2 0 1
0 0 0
0 0 3
2 2 3
1 2 3
1 0 2
0 3 0
1 3 1
1 3 3
1 3 0
10 8
3 3 1
0 0 2
1 1 0
1 1 2
1 1 3
1 3 2
0 0 1
2 3 1
1 3 0
3 0 3
10 6
2 0 3
3 2 0
0 2 0
1 3 2
2 3 0
1 0 2
3 0 3
0 1 0
2 1 0
1 0 1
10 2
2 2 2
0 0 0
2 0 2
1 3 2
2 0 1
0 1 1
0 2 0
1 1 0
2 1 2
2 3 3
10 5
0 0 1
2 0 1
1 1 1
2 1 2
0 0 2
1 0 2
0 1 2
0 2 1
1 2 1
1 2 0
10 9
0 1 3
2 0 2
2 3 0
2 2 3
3 2 0
2 1 3
0 2 1
0 2 2
1 0 0
2 0 0
10 3
1 0 3
2 1 0
3 3 2
1 1 2
1 3 2
1 2 0
3 2 0
1 0 0
3 3 3
0 2 0
10 9
3 2 1
1 1 1
2 2 1
3 3 3
3 2 3
2 0 3
0 1 3
0 2 3
1 3 3
1 1 3
10 9
2 3 3
0 0 1
3 0 3
1 0 2
1 2 2
2 3 2
3 1 3
1 1 1
3 1 1
2 2 0
10 3
2 2 3
3 2 0
2 1 1
2 1 3
1 0 2
3 3 2
1 2 0
0 2 0
2 0 3
3 3 1
10 5
2 1 1
1 1 2
1 1 1
0 0 0
2 0 0
1 1 0
1 2 1
2 2 1
1 0 2
0 0 2
10 6
1 2 2
2 0 1
1 1 0
0 1 0
0 1 2
0 2 2
1 1 2
2 1 1
2 1 2
1 2 0
10 9
0 1 2
2 0 0
1 0 0
0 0 1
0 1 0
1 2 2
2 0 1
2 2 2
0 2 2
1 2 0
10 6
0 2 2
0 1 1
3 1 1
3 3 0
2 3 1
3 3 3
3 2 3
3 3 1
2 1 2
2 1 3
10 6
1 3 2
3 1 3
3 2 1
0 1 1
3 1 1
0 1 0
3 3 3
3 2 0
3 2 3
1 2 2
10 8
0 0 1
0 1 2
0 1 1
2 2 2
1 2 2
0 2 1
0 0 2
1 0 2
1 1 2
2 0 1
10 9
1 0 2
2 2 1
2 2 0
2 0 0
2 0 1
1 1 2
2 1 2
0 0 1
2 1 0
1 0 1
10 8
0 2 2
2 2 0
2 2 1
1 1 2
1 1 1
2 1 2
0 1 1
0 0 1
1 2 0
2 1 0
10 5
0 1 1
2 0 1
0 2 1
0 1 0
1 0 2
2 1 0
0 0 0
2 0 2
1 1 1
2 1 2
10 7
2 2 1
2 2 2
2 2 0
2 1 2
2 0 1
1 0 2
0 2 1
2 1 1
1 2 1
0 1 0
10 8
1 1 1
1 2 2
2 1 1
1 2 0
2 2 1
2 2 2
1 0 0
0 2 2
0 2 1
2 0 2
10 8
0 1 1
0 1 2
2 1 1
1 1 2
0 0 0
1 3 0
0 0 3
2 3 2
3 1 1
0 3 3
10 5
0 0 3
0 3 0
3 2 3
1 0 3
2 3 2
1 2 2
0 3 1
0 1 0
3 2 1
0 2 2
10 2
0 2 2
1 0 0
3 3 0
0 3 2
2 1 3
1 3 0
0 2 1
1 1 3
0 1 0
1 2 2
10 4
0 0 0
1 0 1
0 2 2
0 1 1
2 0 2
0 2 1
1 2 0
0 0 2
2 2 2
2 2 0
10 4
1 2 3
0 1 3
2 0 2
0 2 1
0 3 0
2 3 0
2 2 1
3 3 0
1 1 0
3 1 1
10 2
2 1 3
2 2 0
0 3 1
0 2 0
2 3 2
2 2 1
1 3 2
3 0 1
3 1 3
2 3 1
10 8
2 1 1
1 1 2
1 2 0
2 0 0
2 1 2
0 2 0
0 0 0
1 2 1
1 0 1
0 2 1
10 8
0 0 0
2 1 2
2 2 0
2 0 1
1 1 2
0 2 1
2 1 0
2 2 1
1 1 1
0 1 2
10 3
1 2 3
3 1 1
2 3 0
1 2 2
3 2 3
2 1 2
2 0 1
2 2 1
0 0 0
2 2 0
10 6
0 2 0
1 1 1
0 3 1
2 0 0
2 3 0
3 3 2
1 1 2
0 3 2
0 0 0
2 2 2
10 4
0 1 1
2 2 1
1 1 1
0 2 1
0 1 0
0 0 0
0 2 2
1 0 2
1 2 2
1 2 0
10 3
1 2 0
0 1 0
1 1 2
0 0 1
1 0 1
0 2 2
2 2 2
0 1 2
2 2 0
2 0 0
10 7
1 1 1
2 0 1
1 2 2
0 1 0
1 2 0
0 0 2
1 2 1
2 2 0
2 1 1
2 0 0
10 6
0 2 0
2 0 0
1 2 2
2 2 2
2 0 1
1 0 1
1 1 1
0 1 2
0 2 1
2 1 1
10 6
1 1 1
1 3 2
3 0 3
2 2 2
1 2 0
1 0 0
1 2 3
3 1 0
1 2 2
2 2 0
10 5
0 0 3
1 3 2
3 3 2
1 1 1
0 3 1
2 0 2
1 2 3
3 2 2
1 2 0
2 2 0
10 5
0 0 1
1 2 3
2 2 0
3 0 3
2 3 1
0 1 2
2 3 2
0 1 1
3 3 0
3 2 3
10 4
0 0 0
1 1 1
1 2 1
2 2 1
0 1 2
2 2 2
2 1 2
0 2 0
1 2 2
1 0 1
10 2
2 0 0
0 1 2
0 0 1
1 0 2
1 0 1
1 2 0
0 2 0
0 1 1
0 0 0
1 1 2
10 4
3 2 0
2 2 1
2 0 3
2 0 1
3 2 1
0 0 3
1 2 0
3 2 3
2 1 1
0 3 2
10 6
2 2 0
1 1 1
2 1 1
1 0 0
1 2 0
2 1 0
2 0 1
0 1 2
1 0 2
2 2 2
10 2
0 1 3
2 0 3
0 1 1
1 2 3
2 1 0
3 1 3
1 1 2
1 0 3
3 0 1
0 1 2
10 4
0 0 2
0 0 0
1 0 0
2 1 0
1 2 1
1 1 1
2 0 2
0 2 0
0 1 2
2 2 1
10 3
3 1 2
2 1 2
0 3 1
3 2 1
3 3 2
2 0 1
2 1 1
1 1 3
0 1 3
1 3 1
10 7
2 0 1
1 2 0
1 2 2
0 2 2
1 0 0
2 1 2
1 1 0
1 1 2
2 0 0
2 2 2
10 2
0 1 0
1 1 2
0 1 2
2 0 0
0 0 2
2 1 1
1 1 0
2 1 0
0 2 2
2 0 2
10 2
1 1 1
0 0 0
3 0 1
1 2 3
0 3 2
0 2 2
2 0 3
3 3 2
0 0 3
3 3 0
10 2
2 1 0
2 3 1
1 1 3
3 0 2
2 2 0
0 1 1
3 2 0
2 1 3
2 3 0
2 0 2
10 9
0 1 1
2 1 2
1 1 2
0 0 1
0 0 0
1 1 0
0 2 2
2 2 2
2 2 1
0 1 0
10 8
2 2 1
1 3 2
2 1 1
0 0 2
0 3 3
3 3 3
2 3 1
2 0 2
3 3 1
0 1 1
10 4
1 0 0
3 2 1
1 1 0
1 2 3
0 2 1
3 2 3
1 2 1
2 2 2
1 1 2
1 3 0
10 6
3 0 1
0 0 1
1 3 0
2 2 2
0 0 3
2 3 1
2 1 0
0 1 0
0 0 2
1 2 0
10 7
1 2 0
0 1 3
3 0 1
2 3 1
3 3 1
3 0 0
3 2 2
1 0 0
0 3 3
2 3 3
10 9
1 3 0
2 1 3
1 3 1
1 0 1
0 1 0
0 3 3
2 3 0
3 0 3
0 0 0
0 2 3
10 8
0 1 1
1 1 0
2 1 2
1 0 1
1 1 1
0 2 1
0 2 0
0 2 2
0 1 2
0 1 0
10 6
1 0 2
0 0 1
0 0 2
3 2 3
2 0 0
0 3 1
2 3 1
0 1 1
2 3 2
1 1 0
10 8
1 1 3
3 1 1
0 1 1
3 2 0
2 0 1
1 3 2
3 1 2
3 1 3
3 2 1
1 0 1
10 6
2 0 2
1 1 0
0 2 0
2 2 0
2 0 0
1 2 2
2 0 1
0 2 2
0 2 1
1 0 0
10 2
0 2 1
1 0 1
1 1 1
0 0 1
0 1 0
2 0 1
2 1 2
2 1 0
1 1 0
0 1 1
10 7
3 0 1
1 0 1
3 0 0
3 2 0
1 2 2
1 1 3
2 3 3
0 2 1
1 3 3
1 3 2
10 6
0 3 1
1 3 1
1 1 2
2 1 3
0 2 1
1 3 2
3 2 0
0 2 3
0 1 2
2 3 3
10 7
3 0 0
0 0 2
2 1 3
1 2 3
3 2 0
1 2 2
1 3 3
1 0 2
0 2 2
0 2 1
10 6
0 2 2
0 1 1
0 1 0
0 2 1
2 0 2
0 1 2
2 0 1
1 1 1
1 1 0
1 2 2
10 8
0 1 1
1 2 1
0 0 2
2 2 2
1 1 0
1 0 1
0 1 0
1 0 0
1 1 2
2 0 2
10 9
0 0 2
1 2 0
2 2 1
1 2 2
2 0 0
2 1 2
0 1 2
2 0 1
0 0 1
1 0 1
10 7
3 1 2
2 2 0
0 1 0
0 0 0
3 2 3
1 1 0
0 2 2
0 0 2
3 0 1
2 3 1
10 5
0 2 2
2 2 0
2 2 1
0 0 0
1 0 0
0 1 1
1 0 1
0 0 1
2 1 2
1 1 1
10 6
0 2 2
0 1 0
1 2 2
2 1 2
0 2 0
1 1 2
1 2 0
2 2 0
2 2 2
0 1 2
10 8
0 2 1
0 1 2
2 0 1
2 2 1
1 0 1
2 1 2
1 2 1
1 1 0
2 2 0
0 2 0
10 6
3 3 2
3 1 1
1 1 3
3 2 2
3 0 2
0 0 3
0 0 2
1 0 1
0 1 1
1 1 2
10 3
0 0 0
2 1 0
1 2 1
1 2 0
1 0 1
2 2 1
2 0 0
1 1 1
2 0 2
0 1 1
10 9
1 1 2
2 0 1
2 1 0
0 3 1
1 1 0
2 0 3
0 0 2
1 2 1
2 3 0
3 3 3
10 4
1 1 3
3 0 3
1 1 1
2 0 3
0 2 2
3 1 3
0 3 1
0 1 1
2 1 2
1 2 2
10 6
2 2 2
2 2 3
1 0 2
3 2 3
3 2 2
1 3 0
3 2 0
1 0 1
2 0 0
0 0 3
10 5
0 1 2
2 1 1
2 1 2
0 2 0
1 2 2
2 1 0
0 0 1
0 0 0
2 0 2
0 1 1
10 6
2 2 0
0 1 0
2 1 0
1 2 1
2 0 2
1 0 2
0 0 0
1 2 2
0 1 1
2 0 0
10 7
2 3 2
2 0 2
2 3 3
1 1 2
1 3 3
1 2 2
0 1 2
3 1 3
0 1 0
2 1 2
10 2
1 3 0
0 1 3
0 2 3
2 1 2
0 1 2
1 2 1
1 0 0
0 2 2
1 3 2
3 3 3
10 6
1 3 3
1 0 2
0 3 2
0 2 1
1 1 3
2 1 0
1 3 0
3 2 1
0 0 3
1 1 1
10 3
1 1 0
2 0 1
0 0 1
2 0 2
1 2 0
1 0 2
1 2 2
1 0 1
2 2 0
0 2 2
10 2
3 2 2
0 2 3
3 1 0
3 3 0
1 0 2
1 3 1
3 0 1
2 3 1
2 0 0
0 1 1
10 6
0 0 0
0 2 2
1 0 0
1 1 1
2 0 1
1 0 1
0 2 0
0 0 2
2 1 1
0 1 1
10 8
1 0 0
0 0 0
1 1 2
0 2 1
0 0 1
1 2 1
1 2 2
2 0 0
0 1 0
2 1 0
10 4
1 0 1
0 0 2
0 2 2
0 0 0
1 2 1
1 0 0
2 0 0
1 1 0
0 1 2
1 2 2
10 4
3 0 1
3 1 3
1 2 1
2 0 1
3 0 0
2 3 2
0 1 0
3 1 2
3 2 0
0 0 2
10 9
0 3 2
2 3 1
0 2 1
1 1 1
0 1 1
2 0 1
0 0 2
3 3 3
0 1 0
1 3 2
10 9
1 0 1
2 0 0
0 2 2
0 2 0
1 2 0
1 1 1
1 2 1
0 1 2
1 1 2
0 0 1
10 2
2 2 0
0 0 1
1 2 1
2 0 2
1 0 0
0 1 2
0 0 0
2 2 1
1 0 2
1 1 2
10 4
1 2 0
0 2 0
2 2 1
0 0 2
2 0 1
1 0 2
1 1 0
1 1 2
2 2 0
1 0 0
10 8
2 0 2
0 1 3
1 2 3
2 1 1
3 0 1
3 1 1
1 2 0
0 3 1
3 3 0
2 2 2
10 2
0 1 1
1 1 0
1 1 2
2 2 1
2 2 0
1 1 1
0 2 2
1 2 1
2 0 1
1 0 2
10 5
1 2 1
2 2 2
2 1 2
0 0 1
2 2 0
0 2 2
0 2 0
1 0 2
2 0 1
0 0 0
10 5
2 2 0
3 2 0
3 0 1
0 0 3
2 0 2
2 2 3
2 1 1
0 3 0
0 2 3
2 2 2
10 7
0 2 2
2 2 1
2 2 0
1 1 0
2 1 2
1 0 0
0 1 1
2 1 0
1 2 0
2 1 1
10 3
1 3 3
1 1 0
2 1 3
1 3 0
0 3 3
0 0 0
1 0 3
2 0 3
0 2 1
2 3 0
10 4
0 3 2
0 0 3
0 1 2
3 2 2
3 1 1
2 1 0
2 3 0
0 0 0
0 0 2
1 3 0
10 4
0 2 0
1 2 2
1 2 1
2 1 0
0 2 1
2 1 1
0 0 2
1 2 0
2 0 0
0 1 1
10 8
2 0 2
1 2 3
3 0 3
3 2 3
2 2 1
1 1 0
3 3 0
3 1 3
2 3 0
1 3 1
10 4
2 0 3
0 2 1
3 0 2
0 2 0
3 2 3
1 0 1
3 3 3
2 2 2
3 0 1
1 2 2
10 6
2 2 3
2 1 3
2 2 2
0 0 3
1 2 1
1 0 1
3 0 1
0 3 3
0 2 3
1 1 2
10 9
2 1 2
0 1 1
1 2 0
0 2 2
1 1 2
0 2 1
1 0 2
0 1 2
2 2 1
0 0 2
10 6
2 2 1
2 2 2
3 2 1
1 3 3
3 0 0
0 0 1
3 3 2
0 2 1
2 1 0
3 0 3
10 3
0 2 1
2 1 0
2 3 3
3 0 3
3 2 3
2 2 2
2 0 2
3 2 1
3 3 1
0 1 1
10 5
3 0 3
3 1 3
0 3 1
1 0 1
3 1 1
3 3 0
2 2 3
0 0 0
3 2 2
0 2 1
10 9
3 0 0
3 3 3
1 0 2
1 2 1
1 0 3
0 1 0
1 1 1
2 1 2
2 1 0
1 3 3
10 4
2 2 1
2 0 0
1 0 2
2 1 0
1 2 1
0 0 2
2 2 0
1 0 1
2 2 2
0 2 2
10 4
1 1 0
0 2 1
1 0 2
1 2 2
1 2 1
1 0 1
0 1 2
1 2 0
2 2 1
2 0 0
10 2
0 0 0
1 0 0
2 2 2
0 2 2
0 1 0
0 1 1
2 0 0
0 0 1
1 0 1
1 0 2
10 6
1 3 1
1 1 0
0 0 2
2 2 0
3 3 2
3 1 2
1 2 3
0 2 2
2 1 2
1 2 2
10 4
1 0 2
1 0 0
2 2 0
0 1 2
2 1 1
2 0 0
2 0 1
1 1 2
2 1 0
2 0 2
10 7
1 2 0
1 1 1
1 2 1
2 2 2
1 2 2
2 0 2
2 1 2
0 2 2
0 1 1
2 1 0
10 4
2 1 1
2 2 2
1 2 1
0 0 0
0 1 0
1 1 1
1 0 1
0 2 0
1 2 0
0 1 2
10 3
3 1 1
3 3 3
0 1 0
3 2 0
1 3 2
2 3 0
3 3 1
2 2 1
0 3 3
2 2 0
10 7
0 0 1
1 0 0
1 1 0
1 0 1
1 1 1
0 2 0
0 2 1
2 1 2
1 2 1
2 2 0
10 4
3 3 3
2 3 3
2 1 0
0 3 0
1 3 2
1 0 3
1 0 2
3 1 1
0 0 2
0 0 1
10 8
0 3 2
2 2 3
0 3 3
0 2 3
0 3 1
1 0 3
2 2 2
2 1 0
2 3 2
2 0 0
10 8
0 2 2
0 0 1
2 1 2
1 1 1
1 2 2
2 0 1
0 1 2
2 2 0
1 0 1
0 2 0
10 4
1 0 2
0 2 0
1 1 0
1 0 0
2 0 0
0 0 0
2 0 2
2 0 1
1 2 1
2 2 0
10 8
0 0 0
0 2 2
0 1 0
1 1 1
2 2 0
1 0 1
1 2 0
2 2 1
1 2 2
2 1 1
10 3
1 2 0
2 1 2
1 0 1
0 0 0
2 1 0
0 0 1
0 1 0
1 2 1
1 0 0
0 1 2
10 6
2 0 0
0 1 1
1 2 0
1 1 0
2 1 0
1 0 2
0 2 2
2 1 1
0 1 2
2 0 2
10 9
2 2 2
0 0 1
1 0 2
0 2 1
0 1 1
0 1 0
1 0 0
2 1 0
1 0 1
1 2 1
10 2
1 0 1
1 0 0
2 0 0
0 1 0
2 1 1
2 2 1
1 0 2
0 2 1
0 0 0
0 2 0
10 6
0 0 1
1 0 0
2 0 0
2 1 1
2 1 2
0 2 0
0 0 2
2 2 0
0 1 0
1 0 1
10 4
3 1 2
0 2 2
2 3 1
3 2 0
2 2 3
3 2 3
1 0 1
2 0 2
2 3 0
0 0 1
10 3
0 0 2
1 0 2
0 1 2
2 0 1
0 2 0
2 1 0
0 1 1
1 2 0
2 2 0
1 2 2
10 6
2 2 0
1 0 0
1 2 0
2 1 0
2 0 0
2 1 2
0 1 0
2 2 1
2 0 2
0 2 0
10 3
1 1 1
2 2 0
0 1 2
0 0 0
0 1 0
2 1 0
2 1 1
2 2 2
1 2 2
0 0 2
10 7
2 0 0
2 1 2
1 2 2
0 2 2
0 1 2
1 1 2
1 1 1
2 2 1
1 0 1
2 0 2
10 9
2 0 2
1 2 0
2 2 2
2 0 1
0 0 1
0 0 0
0 2 1
2 2 1
1 0 2
0 1 1
10 2
1 1 2
0 2 0
1 0 0
1 0 1
0 0 2
0 1 2
1 2 2
0 1 1
2 2 0
2 0 1
10 4
0 3 2
0 1 0
2 2 3
3 3 2
0 0 2
2 1 0
2 3 0
0 1 2
2 0 1
3 3 1
10 8
0 1 0
0 1 2
2 0 0
0 1 1
2 2 1
1 2 1
0 2 2
1 0 1
2 2 0
1 2 0
10 9
0 1 2
0 0 2
2 0 0
1 1 1
0 2 2
2 2 2
1 1 2
1 1 0
1 0 2
2 2 0
10 5
3 1 0
1 0 3
2 0 2
2 3 2
0 3 1
1 2 0
3 1 1
3 2 2
3 2 0
1 3 2
10 3
0 2 2
2 2 2
0 1 0
1 2 2
0 0 2
2 2 0
2 0 2
2 0 0
1 1 2
1 2 0
10 8
1 0 1
2 2 2
1 1 0
0 2 2
0 1 2
0 1 1
0 2 0
0 0 0
0 1 0
0 2 1
10 6
0 1 0
1 2 0
0 1 2
1 0 1
2 1 0
2 2 0
1 1 2
2 0 0
2 2 1
2 0 2
10 7
2 2 2
2 1 1
2 0 2
0 2 1
0 2 0
1 1 1
2 1 2
2 2 1
1 2 1
1 0 0
10 9
3 0 3
1 1 2
1 0 1
0 3 0
0 2 2
1 2 1
1 2 0
1 3 3
2 1 0
3 3 3
10 6
1 2 0
2 2 1
2 0 1
1 1 0
2 1 2
1 0 0
1 1 1
1 0 2
1 1 2
0 0 0
10 6
1 1 2
2 0 3
0 2 1
3 1 2
2 0 1
2 1 2
2 2 0
1 0 0
1 3 3
3 3 2
10 2
2 1 2
0 0 2
1 0 2
1 2 2
2 2 0
1 0 0
0 1 2
2 2 1
1 1 0
2 2 2
10 6
0 2 1
2 0 0
2 0 2
0 0 1
0 3 1
3 3 3
2 1 2
3 0 0
1 1 1
0 1 1
10 8
1 0 0
3 3 1
2 1 1
0 3 1
2 1 0
2 2 2
0 3 2
0 0 3
1 3 0
2 0 0
10 5
2 3 0
0 0 2
3 1 1
0 2 2
1 3 1
0 1 1
1 2 1
1 1 2
2 2 0
0 2 0
10 5
1 2 0
2 0 2
1 0 2
1 2 1
0 2 1
0 0 2
0 0 1
1 1 0
1 1 1
1 0 0
10 9
1 3 3
0 0 3
3 3 1
0 1 2
2 1 1
0 2 0
2 2 2
3 1 2
3 1 1
2 3 0
10 5
1 1 0
1 1 2
2 0 0
0 1 2
2 2 2
2 2 1
2 1 2
0 2 2
1 2 2
2 1 1
10 6
0 1 2
1 2 2
2 0 0
1 1 1
0 0 0
0 0 2
1 1 2
0 2 0
2 0 2
1 0 0
10 4
2 3 3
2 2 0
0 3 2
0 3 3
1 3 0
3 1 2
3 0 2
0 2 1
1 2 0
1 1 0
10 8
0 3 3
3 1 0
2 0 3
3 2 3
1 3 2
2 1 0
0 1 2
1 2 2
0 1 0
2 0 2
10 5
0 3 0
1 3 3
2 2 3
3 2 3
0 2 2
1 3 2
1 2 3
2 3 0
1 1 0
3 0 2
10 7
0 0 2
0 2 1
1 0 1
1 1 1
0 1 2
2 1 1
1 0 0
2 0 2
1 1 2
1 2 0
10 6
0 0 0
1 1 1
0 1 2
1 2 0
2 2 0
0 0 2
2 0 2
2 1 2
1 2 2
0 0 1
10 6
1 1 0
2 0 1
1 1 2
2 1 0
2 2 2
2 0 0
0 0 1
2 0 2
1 2 1
0 1 2
10 8
2 1 0
1 1 1
0 2 0
1 2 0
1 2 1
1 1 2
0 1 1
0 1 2
0 0 2
0 2 2
10 8
2 0 1
1 0 0
3 2 3
3 0 2
3 0 3
3 0 0
2 3 2
0 1 1
3 2 0
1 3 1
10 8
3 1 2
2 2 1
0 2 3
0 3 2
2 0 0
1 0 0
0 1 0
0 1 3
0 0 1
1 1 1
10 3
1 1 1
2 0 0
1 2 1
2 0 2
0 2 0
0 2 1
0 2 2
1 0 2
1 1 0
2 1 2
10 4
1 1 1
1 3 0
3 1 2
1 1 3
3 3 0
0 1 3
1 0 1
2 0 1
2 1 3
3 1 0
10 2
0 2 0
2 0 2
1 0 1
0 2 1
2 2 1
0 0 1
0 0 0
1 2 2
1 2 0
0 1 0
10 5
1 0 1
0 3 1
3 1 2
2 3 3
3 0 2
1 3 1
1 1 1
3 1 3
2 0 1
2 0 0
10 9
0 0 1
1 0 2
1 2 0
2 0 0
0 1 1
1 1 1
0 2 2
0 1 2
1 1 0
2 1 2
10 6
0 1 0
2 2 2
0 0 1
0 0 0
0 2 0
1 1 0
1 0 2
1 2 2
2 2 1
2 0 1
10 3
3 3 3
1 3 2
3 1 0
1 1 0
2 0 2
2 2 1
1 0 2
2 2 3
1 0 0
3 3 0
10 8
1 1 1
0 0 2
1 2 2
0 0 1
1 0 2
1 0 0
2 0 0
2 1 0
0 2 2
2 2 0
10 7
0 2 3
0 0 3
1 1 0
0 3 0
3 2 2
2 2 1
1 2 1
0 3 2
2 0 1
1 3 3
10 9
1 1 0
0 0 1
1 2 0
0 0 0
0 0 2
1 0 2
1 0 0
0 1 0
0 2 1
0 1 1
10 6
2 1 3
1 1 3
0 1 0
1 3 0
1 2 1
2 1 2
1 2 3
0 1 1
0 3 2
3 1 1
10 4
0 2 2
3 0 3
3 2 2
1 2 1
2 0 3
0 3 3
0 2 3
2 0 2
1 0 2
3 1 1
10 8
2 3 3
2 1 0
2 2 1
2 3 2
3 1 3
1 2 2
0 3 0
0 3 1
2 0 2
2 1 3
10 4
0 2 1
1 1 0
2 2 2
1 0 0
0 0 2
1 0 2
2 1 2
0 1 0
1 2 1
1 2 2
10 6
1 3 2
2 0 2
3 1 3
1 1 3
3 2 1
1 2 2
1 0 2
3 2 0
3 1 1
0 1 0
10 4
1 2 3
3 2 3
3 1 3
1 2 2
3 3 1
2 2 3
2 0 2
0 3 1
0 3 3
2 0 0
10 3
2 1 0
2 2 3
1 2 0
1 0 0
2 3 1
0 1 3
2 1 2
1 3 2
2 1 3
2 3 0
10 4
1 2 1
1 0 0
0 0 1
1 2 0
0 2 0
2 0 2
2 1 1
1 0 1
2 2 1
0 2 1
10 4
3 1 1
2 0 1
2 3 3
2 2 2
3 0 2
1 1 2
1 0 0
1 1 1
2 1 2
0 0 0
10 9
1 2 1
1 0 2
2 2 2
0 2 2
0 2 1
1 0 0
0 0 0
0 0 2
0 2 0
0 0 1
10 4
3 3 0
3 0 3
1 3 1
3 1 0
2 0 2
2 2 3
2 3 2
0 2 0
3 2 0
0 2 2
10 3
1 0 2
0 1 0
2 2 1
2 1 2
1 2 2
0 2 2
0 0 1
1 0 1
1 2 1
0 1 2
10 2
0 1 1
2 1 1
0 0 2
1 0 1
1 2 1
1 1 2
1 1 1
1 2 0
2 2 2
1 2 2
10 2
2 0 3
0 0 0
0 2 0
1 3 2
3 2 3
1 3 1
2 3 0
1 1 3
1 3 3
1 0 0
10 8
2 3 3
0 0 2
1 1 0
2 2 2
0 1 1
0 2 1
1 2 1
0 1 2
1 3 2
0 2 2
10 6
1 0 1
3 1 0
1 1 0
1 1 3
1 0 3
2 2 2
1 1 2
3 3 1
3 3 2
1 3 0
10 4
1 1 2
2 1 1
2 1 0
1 0 2
2 0 2
1 1 0
1 0 0
2 2 2
0 0 2
0 0 1
10 6
1 2 2
3 3 1
0 2 3
1 3 3
2 1 1
3 3 3
1 1 3
1 3 1
0 3 3
0 2 0
10 6
1 2 0
1 2 2
0 2 1
2 1 3
3 1 3
2 2 0
2 0 2
0 3 0
3 0 0
2 2 3
10 5
2 1 1
1 0 0
0 2 0
0 1 0
2 1 0
2 2 2
1 0 2
0 0 0
2 1 2
2 0 2
10 4
0 0 2
1 2 2
0 1 0
1 1 1
2 2 0
1 1 0
1 0 2
0 2 1
1 1 2
1 0 0
10 5
0 1 2
1 1 2
2 2 2
2 0 0
0 2 1
1 0 0
1 2 1
0 1 0
1 0 1
2 1 1
10 6
2 1 1
1 1 2
2 0 1
1 0 2
0 1 1
2 1 2
1 0 1
2 2 2
0 0 2
1 2 1
10 8
3 0 2
1 0 1
1 1 2
2 1 1
1 3 2
2 0 0
1 2 2
3 0 3
1 3 0
0 2 1
10 2
1 2 1
2 1 1
0 2 2
0 2 0
2 0 2
0 0 1
1 2 2
1 1 1
1 2 0
0 1 2
10 9
0 2 0
0 1 1
1 0 0
1 1 1
1 1 0
0 1 2
1 2 2
1 2 0
2 2 1
2 1 1
10 9
3 3 0
3 2 2
1 2 2
0 0 1
0 1 0
1 1 0
0 2 1
3 3 2
0 3 3
2 1 2
10 5
3 3 1
2 1 1
3 2 3
0 1 1
3 1 3
0 1 3
2 1 3
0 1 0
1 1 2
0 2 2
10 8
1 1 1
2 1 2
2 0 2
1 2 1
2 2 2
0 1 0
1 2 2
2 0 0
1 1 0
0 2 0
10 5
1 2 0
2 1 0
1 1 0
0 2 0
2 1 2
1 2 1
1 0 2
2 2 2
2 0 2
1 0 0
10 8
2 0 1
2 1 1
2 1 0
0 0 1
0 2 0
0 1 2
2 2 2
0 1 0
1 1 0
2 0 0
10 4
0 2 0
1 2 2
1 1 2
0 1 0
2 1 0
0 0 1
0 0 0
1 2 1
1 0 1
0 2 1
10 7
1 2 2
0 0 1
1 1 2
1 0 1
0 1 1
1 1 1
0 1 2
1 2 1
2 0 1
2 2 0
10 7
1 2 1
2 2 0
0 2 1
0 0 2
0 1 2
1 0 2
1 1 1
1 2 2
0 2 2
0 0 1
10 7
2 2 2
0 1 0
0 2 0
0 1 2
2 0 1
2 1 0
2 2 1
1 0 2
0 2 2
0 0 1
10 7
2 1 1
1 0 1
0 0 1
0 1 0
2 2 0
1 1 1
0 2 2
0 0 0
0 1 1
2 0 1
10 4
2 2 1
2 0 0
0 1 0
3 3 2
0 3 1
3 0 3
0 0 0
2 0 3
3 2 3
3 1 1
10 4
0 1 2
3 3 1
3 1 1
1 0 0
3 1 0
0 2 1
3 3 0
2 1 3
3 3 3
0 1 3
10 8
1 0 1
3 1 1
0 3 3
3 3 3
1 0 2
2 1 1
3 2 3
2 0 2
1 2 1
2 0 0
10 8
3 1 0
0 3 1
3 3 0
1 0 2
1 3 1
2 1 1
2 2 3
0 1 0
1 0 1
2 2 2
10 5
0 1 2
0 1 0
1 0 1
2 0 1
1 2 2
2 2 0
2 1 1
2 2 2
1 2 1
1 0 0
10 5
2 0 2
1 2 0
2 1 0
1 0 2
2 3 2
1 0 3
3 3 2
0 2 2
1 2 1
1 0 1
10 8
2 0 1
1 2 1
1 0 0
1 2 2
1 0 1
2 2 1
1 2 0
0 2 0
2 2 2
1 1 0
10 5
2 0 1
0 2 1
1 1 2
2 1 0
1 0 0
2 1 2
2 0 0
1 1 1
2 2 1
0 0 0
10 5
0 1 1
1 0 1
0 0 1
2 2 1
1 0 2
2 1 2
0 0 2
1 2 2
2 0 2
2 2 0
10 2
1 3 2
0 1 2
1 1 2
2 2 2
1 3 1
3 0 2
2 1 3
1 2 0
3 1 2
0 1 3
10 5
2 2 0
1 1 0
1 1 1
0 1 1
1 0 0
2 0 2
0 0 2
1 0 2
2 2 2
2 0 0
10 7
1 2 2
0 0 2
3 1 3
2 0 2
3 0 2
3 2 2
2 1 3
0 1 3
1 3 0
3 1 2
10 4
3 3 0
3 0 1
1 0 3
1 1 2
1 3 0
2 3 2
1 1 0
3 2 2
2 1 2
1 1 1
10 8
0 2 1
0 3 3
2 0 0
2 3 1
3 2 0
1 0 1
0 3 1
3 3 2
1 0 0
3 2 2
10 9
0 3 0
0 2 2
3 3 2
2 2 2
0 3 2
0 1 2
3 2 2
2 3 0
2 0 2
3 3 3
10 4
0 0 0
0 1 2
2 2 1
1 1 0
1 1 2
0 2 0
1 0 1
2 0 1
0 0 2
1 1 1
10 5
0 1 1
2 0 0
1 0 1
0 0 3
0 0 1
0 1 0
3 1 3
2 0 3
0 3 3
3 2 2
10 9
1 0 0
0 1 2
2 1 1
1 2 1
0 2 1
0 0 0
0 0 1
2 0 0
0 2 0
0 0 2
10 4
0 1 2
1 1 2
0 1 0
0 0 2
2 2 2
2 0 1
2 0 2
0 2 2
1 2 2
1 0 0
10 9
2 0 3
1 0 3
1 3 0
1 3 1
1 3 3
3 1 0
3 2 2
2 1 3
1 2 0
3 2 1
10 7
1 2 3
3 3 2
2 1 0
2 1 1
0 0 2
1 1 0
2 0 2
3 3 0
1 0 3
2 2 3
10 4
0 2 3
0 3 1
2 3 1
2 0 2
2 2 1
3 1 3
3 2 0
0 0 3
1 0 2
1 2 1
10 5
0 0 2
2 1 2
2 2 1
0 0 0
2 0 1
1 1 0
2 2 2
2 2 0
2 0 2
0 2 2
10 3
1 1 1
2 0 1
2 0 0
0 1 1
0 2 1
2 2 2
1 0 1
1 2 0
0 1 0
1 2 2
10 6
1 0 0
0 2 1
1 1 2
0 2 0
0 0 1
2 0 2
1 2 0
1 2 1
2 0 1
1 0 1
10 4
1 2 1
0 2 1
2 2 1
2 1 1
2 1 0
0 1 0
0 0 0
2 1 2
0 2 0
2 0 2
10 7
2 0 0
2 1 0
2 2 0
0 1 0
2 2 1
0 0 1
0 0 2
0 1 1
1 2 2
1 0 2
10 6
3 0 2
1 3 0
3 2 3
0 2 3
3 0 1
3 3 3
0 3 1
2 2 2
2 3 2
2 0 3
10 3
2 0 0
0 0 1
1 0 1
2 0 1
2 1 2
0 0 2
1 0 0
0 2 0
1 0 2
0 0 0
10 9
1 0 0
1 1 1
2 1 2
1 1 2
2 2 0
2 0 0
2 2 2
2 2 1
0 1 1
2 1 1
10 3
0 2 1
2 2 1
1 1 0
3 2 1
0 1 0
0 0 1
3 1 1
1 0 2
3 1 3
1 0 1
10 9
0 1 2
0 0 2
1 0 2
0 2 0
2 1 2
1 0 1
0 1 0
1 2 2
0 0 0
0 2 2
10 8
0 1 2
3 2 0
0 0 3
2 1 2
2 2 1
0 2 1
3 3 2
1 3 2
0 1 0
0 2 2
10 9
2 1 3
0 2 3
2 3 3
0 3 3
3 3 0
2 0 3
3 1 3
3 0 2
2 0 2
2 3 1
10 7
2 2 2
2 1 1
2 0 2
1 2 2
0 1 0
2 1 0
1 1 1
2 1 2
1 0 2
0 2 2
10 5
0 0 2
1 0 0
2 1 2
0 1 1
0 2 0
0 0 1
1 0 1
2 1 0
0 1 2
1 1 2
10 2
3 0 2
2 1 1
1 1 3
2 0 1
2 1 0
1 0 2
3 2 2
2 0 3
0 3 3
3 2 3
10 8
1 0 3
1 0 1
1 1 3
0 2 0
2 1 2
3 2 3
2 2 0
3 3 2
3 2 1
2 1 0
10 3
1 1 0
1 0 2
3 3 1
2 2 1
0 2 1
0 0 1
3 2 1
2 3 1
0 2 2
1 2 0
10 6
1 2 0
2 1 1
2 1 2
1 0 0
1 1 2
1 1 0
0 2 1
2 2 2
0 0 0
2 2 0
10 4
2 1 2
0 1 0
1 1 0
2 1 1
0 0 1
1 2 1
0 1 1
2 1 0
0 2 1
2 0 2
10 7
1 3 3
1 3 1
1 0 0
2 0 3
3 2 0
1 0 2
2 2 2
3 0 3
0 3 0
3 1 2
10 3
1 1 0
3 2 1
1 1 3
1 2 0
0 1 1
1 2 3
2 3 1
1 0 0
0 1 2
3 3 1
10 4
2 3 1
0 1 1
0 1 0
0 2 2
3 3 1
1 1 3
1 1 1
0 0 3
2 1 3
3 2 3
10 8
2 1 1
2 0 2
1 2 3
0 2 0
2 2 3
2 3 0
3 0 2
2 1 0
1 1 1
2 1 3
10 8
0 2 0
2 0 0
1 2 1
1 1 1
2 1 1
0 0 0
1 2 2
2 1 0
1 2 0
1 0 0
10 7
2 2 1
1 1 0
2 0 0
2 1 1
1 0 2
2 2 0
1 0 0
2 0 1
0 1 0
1 2 2
10 2
1 3 0
3 2 1
3 1 3
1 2 2
2 1 2
3 0 2
3 1 0
1 1 1
1 2 0
1 3 1
10 3
0 1 0
2 1 2
2 0 2
0 0 3
3 0 3
1 1 1
0 0 1
1 2 0
2 3 1
1 3 3
10 7
2 3 0
1 1 3
3 1 1
2 2 2
1 0 3
3 3 1
1 0 2
2 0 2
2 0 3
0 3 3
10 3
2 2 1
1 0 2
0 1 0
0 0 1
0 2 2
1 0 0
2 2 2
0 0 2
2 1 1
1 2 0
10 3
1 0 0
2 2 0
1 0 2
2 1 2
0 2 2
1 1 1
1 2 0
0 2 1
1 1 0
0 1 0
10 2
3 0 3
0 2 2
3 1 3
3 3 3
0 0 1
2 0 0
1 1 2
2 2 2
0 1 1
3 1 2
10 2
2 2 2
0 2 0
1 0 1
1 1 3
3 2 2
2 0 0
2 3 2
0 1 0
2 1 1
0 2 1
10 6
3 1 3
2 2 3
1 0 2
3 0 0
1 1 0
3 3 2
0 1 2
2 1 3
3 3 0
2 3 2
10 4
0 1 1
0 2 2
0 1 0
2 1 0
1 0 1
2 2 0
1 1 1
2 2 2
1 1 2
0 0 0
10 9
0 1 2
1 2 0
2 0 0
0 2 1
1 0 2
1 2 2
2 0 1
0 0 0
0 2 2
2 0 2
10 4
3 2 3
3 2 2
0 3 0
3 3 3
3 0 2
2 2 2
2 2 3
2 3 0
0 0 2
3 2 1
10 5
0 1 0
2 2 0
1 2 1
2 2 2
0 1 1
0 1 2
2 2 1
0 2 1
2 0 1
2 0 2
10 3
2 0 1
2 0 2
1 1 2
1 0 0
1 1 1
0 1 1
0 2 0
2 2 2
0 0 2
0 0 1
10 7
0 1 3
1 3 2
2 3 2
1 2 1
0 3 1
1 1 2
3 3 2
0 3 2
2 0 0
1 0 0
10 4
0 1 0
3 2 2
1 1 3
1 0 3
2 3 0
3 0 0
0 0 3
3 2 0
1 2 0
3 1 3
10 3
0 0 1
0 3 0
3 2 3
1 0 1
3 2 2
2 1 3
0 1 3
1 1 0
2 0 1
3 2 1
10 9
0 0 2
2 1 2
2 2 1
1 1 0
0 2 0
0 2 1
0 1 0
2 1 0
1 2 2
0 1 1
10 6
2 3 1
3 1 3
3 0 2
3 1 2
2 3 0
0 2 0
3 1 0
0 2 2
2 3 2
0 1 2
10 6
0 1 3
3 2 0
1 0 1
1 3 2
1 1 2
1 2 2
0 0 1
2 1 1
3 3 3
3 3 2
10 5
3 2 1
3 1 3
0 2 2
2 3 2
1 1 0
0 3 0
0 0 1
2 3 0
2 0 2
3 0 2
10 2
2 0 3
1 3 0
3 0 0
3 3 2
0 3 1
0 2 1
3 3 1
2 0 1
3 1 0
2 3 3
10 4
0 0 0
2 0 1
2 1 0
1 2 2
1 1 2
2 2 0
1 2 0
1 0 0
0 1 1
0 2 1
10 2
3 1 0
3 0 3
0 2 2
1 0 2
1 2 0
1 3 0
0 2 1
3 2 3
2 2 3
0 1 0
10 4
0 0 1
0 2 0
0 1 1
1 1 0
2 1 2
0 2 1
1 2 0
0 2 2
1 2 2
1 0 1
10 8
0 0 1
0 1 1
2 0 2
2 0 0
1 1 1
1 0 2
2 1 1
0 0 0
2 2 1
1 2 1
10 5
0 1 1
2 0 0
1 2 0
3 2 3
1 1 3
3 3 3
2 3 2
2 2 0
0 0 3
3 3 1
10 4
0 1 1
2 2 1
2 2 0
0 0 0
1 0 2
2 1 0
1 2 0
1 0 1
2 0 0
0 2 2
10 3
2 1 0
1 2 0
2 1 1
0 1 1
2 2 1
1 2 2
0 1 2
1 0 0
2 0 0
1 1 0
10 6
1 2 1
0 1 1
2 2 0
1 2 2
3 1 3
3 3 0
3 0 1
2 0 2
3 3 3
0 2 0
10 4
2 2 1
1 1 0
2 1 1
0 2 1
1 0 2
1 2 0
2 2 2
1 1 2
0 0 1
1 2 2
10 7
1 2 0
0 1 1
1 1 0
1 1 2
2 1 1
2 1 0
0 2 1
2 1 2
2 2 0
1 0 2
10 6
1 2 0
2 1 2
2 0 0
2 1 1
0 2 0
1 1 2
0 1 1
0 0 1
1 0 1
2 0 2
10 6
2 1 3
0 3 1
1 0 2
2 3 0
0 3 0
2 3 3
3 2 0
0 1 3
3 3 3
2 0 1
10 9
1 1 3
1 2 0
1 3 2
0 2 1
2 3 3
0 2 2
1 2 1
1 2 2
1 1 2
2 0 1
10 6
0 3 3
1 0 3
3 2 2
1 1 0
2 0 2
1 3 0
3 3 3
3 0 3
0 1 0
0 3 0
10 5
2 1 0
0 0 0
2 2 2
2 1 1
0 2 2
0 0 2
1 1 0
2 0 1
1 1 2
2 0 0
10 6
0 2 1
3 3 1
1 3 2
0 0 3
2 3 0
2 2 3
0 3 2
1 1 3
0 0 2
2 2 2
10 2
0 3 1
0 1 0
1 2 0
1 0 3
3 0 1
3 0 2
3 1 0
0 3 0
0 0 3
0 0 1
10 3
1 0 2
0 0 0
2 2 1
0 0 2
2 1 1
0 2 1
2 0 0
1 0 1
0 2 2
1 1 0
10 5
1 1 1
3 3 3
1 0 2
2 0 3
1 0 3
1 3 1
0 1 2
1 2 3
2 0 0
3 1 2
10 3
1 0 0
2 0 1
1 2 1
0 1 1
1 2 0
1 1 2
1 0 2
0 1 2
1 1 1
2 1 1
10 5
3 1 2
0 2 2
0 2 3
0 0 2
3 2 0
0 3 1
3 3 1
0 3 2
0 3 3
3 0 0
10 8
2 2 1
0 3 1
1 2 3
3 2 2
0 0 1
3 3 3
1 0 2
0 0 2
3 1 0
1 0 1
10 6
3 1 0
1 3 2
2 1 2
0 3 3
3 2 1
3 0 3
2 1 0
2 0 3
3 1 3
1 1 1
10 3
1 1 1
1 0 3
3 1 3
1 1 0
0 3 0
1 0 0
1 3 2
3 2 3
2 2 3
2 0 1
10 8
2 3 3
1 0 3
0 1 3
1 2 0
0 2 3
2 0 1
2 3 1
3 2 3
1 0 2
2 0 0
10 7
1 0 2
1 0 1
0 2 0
2 0 2
2 1 0
0 0 0
1 2 2
1 1 2
2 1 1
2 2 1
10 4
3 0 3
3 2 3
1 1 0
0 0 3
0 0 1
1 3 0
3 1 0
0 3 2
2 0 1
3 3 0
10 8
1 3 1
0 3 1
2 0 0
1 1 2
2 1 1
3 0 2
1 2 0
3 2 1
0 0 0
1 1 1
10 6
0 1 1
2 2 1
2 2 0
2 1 2
2 0 1
0 2 1
1 0 1
0 0 1
1 0 0
0 1 2
10 7
0 3 1
3 1 2
2 3 2
2 3 3
0 3 2
1 0 0
1 2 1
1 0 3
3 3 3
3 0 0
10 3
0 2 0
0 1 1
1 0 0
2 2 2
0 2 1
1 0 1
1 2 0
2 1 1
1 1 0
2 0 1
10 9
2 2 1
2 0 0
2 1 1
1 0 2
1 1 2
0 0 1
0 1 1
1 2 0
0 1 0
1 0 1
10 6
1 2 0
1 2 2
2 0 1
1 0 1
1 0 2
2 1 2
2 2 1
0 1 2
2 1 1
0 1 0
10 3
0 2 1
2 0 1
0 0 2
0 2 0
1 2 2
2 2 1
0 1 1
2 1 0
1 1 2
2 0 2
10 2
1 0 2
2 0 0
2 0 1
1 2 2
1 1 0
0 2 0
1 0 0
2 1 0
1 2 1
2 2 1
10 2
2 2 0
1 1 1
2 0 2
0 1 0
0 2 1
2 1 2
0 1 1
1 0 1
0 0 1
1 0 2
10 3
0 3 1
2 1 0
1 3 0
3 0 1
1 1 3
0 2 3
3 2 0
0 0 1
3 3 0
2 2 3
10 4
2 0 2
0 2 0
2 1 0
1 0 1
2 2 1
0 2 2
2 1 1
1 1 2
0 0 2
0 2 1
10 4
0 3 1
1 2 2
2 1 3
3 1 1
2 2 2
2 2 1
1 1 0
1 3 2
2 3 1
3 2 0
10 4
2 2 2
2 2 1
1 1 1
0 1 0
0 2 0
2 0 0
0 0 2
1 1 0
2 2 0
2 0 1
10 5
2 0 3
0 0 0
3 3 1
2 3 3
2 0 2
2 1 3
2 3 0
3 2 3
3 3 3
3 2 2
10 7
2 3 2
2 2 0
1 3 2
3 2 2
0 3 0
3 1 3
3 3 1
0 0 0
0 3 3
3 2 0
10 7
1 3 0
1 1 3
1 2 1
0 2 0
1 0 2
2 2 0
1 3 1
1 3 2
0 0 3
3 2 1
10 7
1 2 1
0 2 0
0 0 1
2 2 1
2 0 1
2 1 0
2 0 0
0 0 2
0 2 1
1 0 1
10 6
2 0 1
1 0 1
0 2 0
0 0 2
2 0 2
2 2 1
1 1 2
1 2 0
0 1 0
1 1 0
10 7
1 1 0
2 2 2
1 1 1
2 0 0
1 2 2
0 0 2
0 2 0
1 2 0
2 0 1
0 1 0
10 2
0 2 1
3 1 0
1 2 1
3 3 3
2 0 1
0 1 3
2 3 2
1 3 2
3 2 0
1 3 0
10 3
0 0 0
2 2 2
0 2 0
0 2 2
0 0 2
1 2 2
1 0 0
2 1 0
0 1 0
1 2 0
10 6
2 1 2
2 0 1
0 1 1
0 2 2
2 2 2
1 0 0
2 1 1
0 2 1
0 0 0
2 2 1
10 6
0 2 0
0 2 2
2 2 2
0 0 0
1 2 2
2 0 2
2 2 0
2 0 1
2 1 2
2 1 1
10 4
0 3 0
1 0 2
1 3 1
0 1 3
2 3 1
0 3 3
3 2 1
0 3 1
3 0 0
0 1 0
10 2
0 0 2
2 3 2
3 2 3
3 3 0
0 1 1
0 2 2
2 1 1
2 2 0
1 1 1
0 1 2
10 5
0 2 2
3 1 3
3 0 1
2 0 2
3 3 1
0 3 3
1 2 2
0 3 2
2 3 2
2 1 3
10 7
1 0 2
0 2 1
2 1 1
2 2 0
2 1 2
0 0 0
2 0 2
2 2 1
1 2 2
0 0 1
10 5
0 3 3
3 3 1
2 3 1
0 2 0
3 3 2
1 3 3
1 2 0
0 1 2
0 3 2
2 0 2
10 2
1 3 3
2 2 0
0 2 0
3 3 3
3 1 1
0 0 1
3 2 3
0 3 2
3 2 0
2 2 3
10 4
3 0 2
0 3 2
1 3 1
2 1 0
1 0 2
2 2 2
1 0 1
0 1 2
1 3 2
3 2 2
10 8
1 1 2
2 2 2
2 2 1
1 2 1
2 1 1
1 2 2
1 1 0
2 1 2
1 0 0
1 0 2
10 7
1 1 2
2 0 2
0 2 0
1 2 2
2 0 0
1 0 1
0 1 2
1 1 1
0 0 1
0 2 1
10 3
2 3 1
2 0 2
3 3 2
1 3 0
1 3 2
3 2 3
0 0 2
2 2 2
3 0 1
2 2 0
10 9
0 0 2
2 0 0
1 1 1
2 0 2
1 2 2
0 2 0
1 2 0
0 1 1
0 1 0
0 0 1
10 9
3 2 2
0 1 1
2 2 1
1 1 3
0 2 1
0 1 3
3 1 1
2 1 0
1 1 0
2 1 2
10 4
0 3 3
0 3 2
2 2 3
0 2 3
0 1 0
2 3 2
2 0 3
0 2 1
0 0 3
1 1 3
10 6
3 2 3
3 1 0
2 0 3
0 1 0
1 1 3
2 2 0
1 2 2
3 0 1
3 3 1
3 1 3
10 3
1 1 0
2 1 0
1 2 1
0 1 2
0 2 2
0 1 0
0 0 0
2 1 1
2 2 0
1 0 2
10 6
1 3 0
1 2 2
2 0 0
0 2 3
3 3 3
2 2 2
0 2 0
3 0 0
3 0 1
2 2 3
10 5
2 1 2
0 1 0
1 2 2
2 1 1
0 2 1
1 1 1
0 1 2
1 2 0
1 0 2
0 2 2
10 4
2 3 3
0 2 3
0 3 1
3 1 0
3 3 3
0 2 2
2 0 0
1 2 2
2 0 2
0 3 0
10 3
0 0 1
2 1 2
2 2 0
1 1 0
2 0 0
1 0 2
2 2 1
1 2 1
0 2 0
1 1 1
10 3
0 2 2
0 0 0
1 0 0
2 2 1
1 1 1
0 0 2
0 1 0
2 1 1
2 0 2
2 0 1
10 4
1 1 1
2 2 1
1 2 1
0 1 1
2 2 2
2 0 0
0 2 1
2 0 1
1 0 0
2 1 1
10 3
1 0 2
1 2 3
2 1 2
3 0 0
1 1 3
3 1 1
0 0 2
3 2 3
3 3 2
3 3 0
10 7
0 2 2
2 1 2
1 2 0
0 1 0
0 0 2
2 0 2
2 0 0
1 2 1
1 1 2
1 0 0
10 4
0 0 0
3 2 1
0 3 1
3 3 0
3 0 2
3 0 0
0 2 0
2 1 0
2 2 0
1 3 1
10 7
1 1 0
3 3 2
3 1 2
1 3 0
1 2 1
3 1 0
3 0 2
2 0 0
2 1 1
3 0 1
10 9
2 2 1
0 2 2
1 0 1
0 3 1
0 2 3
2 3 1
3 2 3
1 3 2
0 2 0
3 3 2
10 6
0 0 0
1 0 1
1 2 0
0 1 0
0 1 1
2 2 0
1 0 0
1 1 0
2 2 2
2 0 0
10 9
1 0 0
2 1 0
0 1 1
2 1 2
0 2 2
2 0 2
2 2 0
1 1 0
0 2 1
2 2 1
10 6
1 3 0
2 3 2
0 3 2
0 1 2
0 1 1
3 3 0
1 0 0
2 1 0
1 0 1
3 1 1
10 8
3 3 3
3 1 3
3 3 1
1 3 2
3 0 2
3 3 0
0 0 3
2 1 2
0 2 0
1 0 1
10 4
1 0 1
2 1 2
1 0 0
2 2 1
1 2 0
1 2 1
1 1 1
0 0 1
0 2 1
0 1 0
10 4
1 1 2
0 2 0
1 0 1
1 2 1
0 0 1
2 2 1
2 0 0
2 1 2
2 2 0
0 0 0
10 8
1 3 0
0 0 3
2 0 0
1 2 0
3 3 3
0 0 1
0 1 3
1 0 0
3 3 1
0 3 3
10 7
2 1 2
2 0 0
2 0 1
2 1 1
0 3 2
1 2 0
2 2 3
2 3 0
0 0 3
0 3 0
10 6
2 0 0
2 1 1
1 2 2
1 1 0
0 2 2
0 1 0
0 0 2
1 0 2
0 2 0
2 2 0
10 4
1 2 1
2 2 1
0 2 0
3 2 2
1 3 3
1 3 0
1 1 2
1 0 0
2 0 1
2 0 0
10 8
1 1 1
0 1 0
0 0 0
1 2 2
2 1 1
1 0 1
1 0 2
0 0 2
1 1 0
1 2 1
10 7
0 2 2
1 1 1
1 0 1
2 1 1
1 2 1
3 1 3
2 3 3
3 1 1
0 0 1
0 2 1
10 2
3 1 0
0 0 0
3 3 3
2 0 2
2 0 0
0 3 1
0 1 2
1 1 3
3 0 2
0 0 2
10 3
1 1 1
0 2 1
0 1 1
1 1 0
1 0 0
2 2 2
0 2 2
1 0 1
0 2 0
0 1 0
10 8
0 1 1
0 1 0
1 1 0
0 2 1
1 2 2
1 0 1
1 2 1
1 2 0
0 1 2
2 1 0
10 4
2 1 2
0 1 1
1 0 2
0 2 2
0 0 2
1 2 2
2 1 0
2 2 1
2 0 2
0 1 0
10 5
2 2 3
0 3 2
3 1 2
1 1 0
2 2 0
3 0 0
0 0 3
2 0 2
3 3 2
1 0 0
10 7
1 2 3
0 3 3
1 3 1
2 1 1
3 3 2
2 0 0
1 3 3
1 1 1
2 2 2
2 1 0
10 4
1 0 2
2 1 2
2 1 0
2 2 2
2 0 0
0 2 1
1 2 2
1 0 0
2 2 1
0 0 2
10 3
0 0 2
2 2 0
2 2 1
0 1 1
0 1 2
1 1 0
1 1 1
2 2 2
0 2 2
2 0 2
10 6
2 1 1
1 2 0
1 1 0
1 2 2
2 2 0
0 0 2
2 1 2
0 2 2
0 0 0
2 0 2
10 4
3 1 1
0 2 3
0 0 0
3 0 1
1 2 2
0 0 2
0 0 1
0 0 3
3 3 1
0 1 0
10 2
2 2 0
2 3 3
0 2 0
1 3 2
2 3 2
1 1 3
0 3 3
2 3 0
1 2 1
0 3 0
10 8
2 0 0
1 1 0
1 2 1
2 2 1
2 1 1
1 0 0
2 0 1
0 0 1
0 0 2
1 1 2
10 9
2 1 2
2 0 0
0 0 0
1 1 1
0 1 2
2 0 1
0 2 1
2 0 2
1 1 2
1 2 1
10 4
2 1 1
1 1 1
1 1 2
0 0 2
1 2 2
0 1 2
0 0 0
2 0 1
1 1 0
1 2 0
10 9
1 1 1
0 0 0
2 1 2
1 0 1
0 2 2
1 0 0
0 1 1
2 2 2
0 2 0
1 2 1
10 4
1 2 0
0 1 0
2 2 2
0 2 0
2 0 2
0 0 2
2 1 2
0 0 1
0 0 0
1 1 2
10 2
2 2 0
0 0 0
1 0 0
0 1 0
1 1 1
0 0 2
1 0 1
2 0 1
0 1 1
0 1 2
10 4
1 1 1
0 1 0
1 2 1
0 0 1
2 1 1
2 2 2
1 1 0
1 2 2
1 0 2
0 1 2
10 9
3 0 2
1 0 2
1 1 1
1 2 3
3 3 1
2 0 1
3 1 1
3 2 2
0 1 1
3 0 1
10 6
3 2 0
1 1 2
1 0 0
1 0 3
2 3 1
1 3 2
3 3 2
3 1 2
0 0 0
0 1 1
10 9
2 2 2
1 1 1
0 2 0
0 2 1
2 0 0
2 1 1
2 1 0
0 0 0
1 1 0
2 1 2
10 3
3 3 3
0 0 1
1 1 3
0 1 1
1 3 3
0 3 1
2 1 3
2 1 0
0 3 2
0 2 3
10 2
0 0 3
0 2 0
1 0 3
0 1 1
2 1 0
1 1 0
1 1 1
1 0 0
3 1 1
0 3 1
10 3
1 0 0
2 1 0
3 3 1
2 1 3
3 0 0
0 3 3
1 2 0
3 3 3
3 2 1
3 1 3
10 5
2 2 0
1 2 2
1 1 1
0 0 2
2 0 1
1 1 2
0 1 0
0 2 1
0 0 0
2 2 1
10 3
1 2 1
0 2 1
1 1 0
0 2 0
2 0 1
2 0 0
0 1 1
0 0 1
2 0 2
1 1 2
10 8
1 1 1
1 0 0
1 1 0
2 2 1
1 0 1
0 2 2
1 0 2
0 1 2
1 2 2
0 2 1
10 6
1 2 0
1 1 2
1 1 1
2 1 2
2 2 2
0 1 2
1 2 1
0 2 1
2 0 0
2 0 2
10 7
0 0 0
0 2 1
2 2 1
1 0 0
1 2 2
2 1 0
0 2 0
0 1 1
0 2 2
2 0 1
10 6
1 1 1
0 1 0
2 1 0
0 2 2
1 0 1
2 1 1
1 1 2
2 0 0
1 2 1
0 2 1
10 6
2 1 1
2 0 3
2 3 3
3 0 2
1 3 1
1 3 3
3 1 3
1 1 0
1 2 0
0 3 1
10 6
0 0 2
2 1 2
1 2 3
1 2 1
1 2 0
3 2 0
3 3 2
0 1 2
0 2 2
3 3 0
10 9
2 1 1
1 2 0
1 1 0
1 1 2
0 1 1
1 2 1
1 0 1
2 0 1
0 1 0
0 1 2
10 7
1 3 2
3 2 3
0 1 3
0 2 0
3 3 1
2 0 3
0 0 0
1 3 3
2 1 0
1 0 0
10 2
2 3 0
3 2 0
3 3 3
3 3 2
2 0 3
1 0 1
2 0 1
1 3 3
3 3 1
2 2 0
10 2
1 1 0
0 2 2
0 0 0
2 2 2
2 1 0
1 0 0
1 2 0
0 1 1
2 0 1
0 2 0
10 2
0 0 3
0 2 3
1 3 3
1 3 0
0 0 0
1 1 2
0 3 0
1 2 3
1 0 3
3 3 3
10 6
1 0 0
1 2 0
2 1 1
0 0 2
2 2 1
2 2 2
2 1 2
2 0 2
2 2 0
0 2 2
10 8
1 0 2
0 1 0
2 0 1
1 2 1
1 0 0
0 1 1
2 0 2
2 1 0
0 0 2
0 2 0
10 6
0 1 0
0 0 0
2 1 2
1 0 0
0 2 1
2 1 1
1 0 1
0 2 0
1 2 2
2 0 0
10 9
1 3 2
3 0 0
1 1 0
0 0 0
2 3 1
1 2 2
3 1 1
1 3 0
1 1 2
3 2 2
10 2
2 0 0
1 1 1
0 1 2
2 1 0
1 1 2
1 2 2
0 2 1
1 0 0
0 0 1
1 2 0
10 4
1 2 1
2 2 0
2 1 1
0 0 1
1 0 2
2 0 2
2 0 1
1 1 1
0 1 2
1 2 0
10 3
1 0 1
1 2 2
2 2 2
0 2 0
2 0 2
0 2 1
0 1 2
2 0 0
2 2 1
1 2 1
10 8
0 1 2
0 0 1
2 3 0
1 2 2
3 3 3
1 1 3
3 2 3
3 1 2
3 1 3
3 1 1
10 2
1 0 1
0 1 0
1 1 1
2 2 2
2 2 0
0 0 1
1 1 2
2 1 1
0 0 2
2 0 1
10 6
0 2 0
1 1 1
2 0 2
1 0 2
1 0 1
1 2 2
2 1 1
1 1 0
0 2 1
0 0 2
10 9
0 1 1
1 2 1
0 0 1
0 1 0
1 0 0
2 1 0
0 1 2
1 0 2
2 2 1
0 0 2
10 6
1 1 2
2 2 1
1 2 2
0 1 0
0 2 2
1 2 1
1 0 2
2 1 1
1 2 0
0 0 0
10 3
1 1 0
1 2 2
1 3 3
0 2 2
2 0 2
1 1 1
0 1 1
2 1 3
2 3 3
0 0 0
10 4
2 3 1
3 2 3
1 1 2
1 2 0
0 1 2
3 2 2
2 0 0
2 1 0
3 1 0
2 0 2
10 9
3 0 1
1 0 0
3 3 0
0 1 0
1 1 2
1 2 2
1 3 3
1 2 3
1 3 1
1 2 0
10 3
2 0 0
1 2 2
1 1 2
0 1 2
0 0 0
1 2 0
2 1 1
1 0 2
0 1 1
1 2 1
10 3
2 3 2
3 2 1
1 2 1
2 2 3
3 3 0
1 1 0
3 1 2
2 0 3
3 0 2
1 0 2
10 8
2 0 1
1 2 1
1 0 2
1 1 0
1 0 0
0 1 1
0 2 2
2 2 0
1 2 2
2 1 2
10 5
1 2 0
2 0 0
2 0 1
2 1 2
1 0 1
0 2 0
0 0 0
2 0 2
1 2 2
2 1 1
10 6
1 0 0
3 2 2
2 3 0
2 1 1
2 0 2
0 1 3
0 1 1
2 1 3
1 1 0
2 0 0
10 5
1 0 2
1 2 0
0 0 0
0 0 1
0 1 0
2 0 2
1 2 1
0 2 2
0 1 1
0 1 2
10 6
0 1 1
1 1 0
0 0 0
0 0 2
2 2 0
1 1 1
1 0 0
1 1 2
2 0 0
2 0 2
10 3
1 0 1
2 0 1
1 2 2
1 0 0
2 1 0
0 1 2
2 2 1
1 1 2
1 1 1
2 1 1
10 6
0 1 1
2 2 1
0 2 1
2 0 2
0 0 1
0 2 0
1 2 1
0 2 2
0 0 2
2 2 0
10 7
3 3 0
2 1 1
2 0 0
3 2 1
1 1 1
0 0 2
3 0 2
2 0 2
2 3 3
0 0 1
10 7
3 0 2
1 3 0
1 2 3
2 0 2
0 2 3
3 3 2
3 1 1
2 0 3
1 0 1
0 2 2
10 3
2 0 0
2 1 1
1 0 0
0 0 1
1 0 1
2 1 0
2 2 1
2 2 2
0 0 0
0 2 2
10 8
0 2 1
2 1 0
0 0 2
1 1 3
3 0 2
3 3 3
0 0 1
0 1 3
2 3 0
1 2 1
10 5
0 0 0
2 0 0
1 1 0
2 2 2
0 2 0
0 0 1
0 1 0
2 0 2
1 1 2
1 2 1
10 6
1 1 0
0 1 1
2 0 0
2 2 0
0 0 0
1 0 1
1 2 0
2 2 1
0 2 1
1 0 2
10 2
2 1 1
3 3 3
2 2 1
2 0 3
2 1 3
3 0 0
2 2 0
0 0 3
0 2 2
2 2 2
10 3
1 0 1
3 0 0
2 2 0
0 2 1
3 3 2
2 2 1
2 1 2
2 3 0
2 2 2
1 1 3
10 6
3 3 2
3 3 1
2 3 3
3 2 2
3 2 1
1 3 2
1 0 0
2 2 1
3 0 2
2 0 2
10 2
0 1 3
3 3 2
2 1 3
3 1 2
2 1 1
2 3 0
0 2 3
3 0 0
3 2 0
1 0 0
10 4
2 2 2
0 1 1
2 0 0
1 1 0
0 1 2
2 2 1
0 2 1
0 0 1
1 2 1
0 2 0
10 4
3 0 1
0 1 0
0 3 0
0 3 1
0 2 1
3 0 3
2 3 0
0 0 3
2 3 1
3 3 1
10 2
2 0 0
1 1 1
2 0 1
2 1 2
0 0 0
2 2 1
0 2 0
1 1 2
0 0 1
2 2 2
10 3
0 0 2
1 2 2
2 0 0
1 0 1
2 2 1
2 2 2
2 0 1
2 0 2
0 1 2
1 1 2
10 8
1 0 1
2 2 1
0 2 0
0 2 2
2 1 0
0 0 0
1 2 1
1 0 0
1 1 1
2 0 2
10 4
2 2 2
1 2 0
1 1 1
1 1 2
2 1 2
0 1 2
2 2 0
2 1 1
2 0 2
2 0 0
10 6
1 2 1
1 2 0
2 1 2
0 2 2
0 2 1
2 2 2
1 0 0
0 1 1
2 2 1
0 0 1
10 5
2 0 0
0 2 2
0 1 0
1 2 1
1 1 0
0 0 0
0 0 2
1 1 1
2 2 0
0 1 2
10 4
0 2 1
1 1 2
0 1 2
0 0 1
0 2 0
0 0 0
1 1 0
0 0 2
1 0 1
2 2 1
10 9
0 0 2
2 2 1
1 1 0
1 0 0
2 0 0
2 2 0
2 2 2
2 1 2
1 2 2
0 1 1
10 2
0 2 0
0 1 1
1 0 0
0 1 0
2 2 2
0 0 0
0 0 1
0 2 1
2 2 1
0 1 2
10 3
1 2 3
1 1 2
1 3 3
3 3 3
1 0 3
3 2 3
0 1 2
3 0 3
2 0 0
3 1 1
10 7
1 2 3
0 1 3
3 2 2
1 1 2
0 0 3
0 1 0
2 3 2
1 3 0
0 1 1
2 1 3
10 5
0 1 1
2 2 3
0 0 2
2 3 1
1 3 1
2 2 0
0 0 0
3 0 0
2 0 0
3 2 2
10 7
1 2 2
1 2 1
1 1 0
2 1 0
1 1 1
2 1 1
0 2 1
2 1 2
0 1 2
2 2 1
10 9
0 2 3
3 0 2
0 1 1
1 0 3
2 3 2
0 0 2
1 1 0
2 1 1
0 2 1
1 2 0
10 4
2 1 0
0 0 2
1 0 0
0 2 2
1 1 1
0 1 1
0 0 0
2 2 2
1 1 2
2 0 0
10 7
3 2 3
1 2 1
2 2 0
1 2 2
0 1 2
3 3 3
2 3 3
3 0 2
1 1 1
1 2 0
10 8
1 1 3
2 2 3
3 2 1
1 3 2
0 2 1
2 3 2
3 2 0
1 0 2
0 3 2
3 3 0
10 7
1 0 1
2 2 0
0 1 0
1 1 0
0 0 1
2 1 2
0 1 1
2 2 1
0 0 2
2 1 0
10 9
0 2 1
0 0 0
1 1 0
0 0 1
1 0 0
1 2 0
2 2 2
2 1 2
2 2 1
0 1 0
10 8
0 1 2
2 0 2
1 2 0
2 2 0
1 1 1
1 0 1
0 0 0
2 1 0
1 1 0
0 2 1
10 6
2 2 0
1 2 1
0 0 0
2 3 3
2 2 3
2 2 2
2 3 1
1 3 2
0 1 2
2 3 0
10 4
1 1 0
0 1 1
0 1 2
1 2 0
2 1 1
2 0 1
0 0 0
1 1 2
1 0 0
2 0 2
10 5
0 2 1
0 2 2
0 0 1
1 1 2
0 0 2
2 2 2
2 1 0
2 1 2
2 0 1
0 1 1
10 4
3 1 1
3 3 2
0 1 3
3 2 0
2 2 0
0 2 2
0 0 2
0 3 3
2 2 3
0 0 3
10 3
3 0 1
1 1 2
1 2 1
0 1 0
1 2 2
1 1 3
3 3 1
3 2 2
3 1 1
2 3 2
10 6
1 3 0
0 1 1
1 3 1
3 2 2
3 3 1
2 1 2
2 2 2
0 2 3
1 3 3
2 3 2
10 9
1 0 0
1 1 2
2 2 2
1 2 0
0 0 0
0 1 1
0 2 0
1 2 1
2 0 1
0 2 2
10 7
1 2 2
2 0 0
0 1 3
3 0 3
0 0 0
1 3 2
2 2 3
1 0 1
3 1 3
2 0 1
10 9
0 1 2
1 0 2
3 2 3
1 3 2
2 3 0
0 3 2
2 2 3
2 0 3
3 0 0
0 1 0
10 6
2 0 0
2 1 1
1 1 2
0 0 2
1 0 0
0 2 2
0 1 0
1 2 1
1 1 1
1 0 1
10 2
1 0 2
1 0 0
2 1 0
1 2 2
0 1 1
2 1 1
2 0 2
2 0 1
0 0 0
0 2 1
10 4
2 0 0
2 1 0
3 0 0
0 2 0
0 1 2
3 3 3
2 0 2
1 3 3
3 3 0
1 3 0
10 9
0 3 0
0 3 1
2 0 0
3 0 3
0 2 0
0 1 3
3 1 0
2 3 2
0 3 2
2 3 1
10 7
3 3 0
0 2 2
2 0 1
0 3 1
2 1 2
1 2 2
2 1 1
1 0 1
3 3 3
2 1 0
10 3
0 1 3
1 1 1
0 0 3
0 3 3
0 0 1
3 2 1
2 1 0
1 2 3
2 2 3
1 2 0
10 7
3 0 3
2 0 2
1 0 3
3 3 1
0 3 1
1 1 1
0 3 0
2 1 2
1 1 3
0 0 2
10 2
1 2 0
2 2 0
0 2 1
1 0 2
2 1 0
0 0 0
1 2 1
1 0 1
1 1 1
2 1 2
10 8
0 0 0
0 2 1
2 2 0
2 1 1
1 1 1
1 2 0
2 0 2
1 2 1
1 1 0
1 0 1
10 8
0 2 0
1 1 1
0 3 2
2 3 2
3 3 3
0 3 0
3 2 1
2 1 0
3 1 2
1 3 2
10 2
1 1 0
0 0 1
0 2 1
0 0 0
1 2 0
2 2 2
1 0 2
1 0 1
0 1 2
2 1 1
10 4
2 2 3
1 0 1
0 1 2
1 0 0
3 0 0
3 2 2
2 3 2
2 0 0
1 1 1
1 3 2
10 4
0 2 2
1 1 0
0 1 2
2 0 2
0 0 2
2 2 1
0 1 0
2 1 0
2 0 0
1 1 2
10 9
1 1 0
0 2 1
0 0 2
2 0 1
0 1 0
2 0 2
2 2 2
1 0 2
1 0 1
0 1 1
10 7
1 3 0
0 2 0
3 0 1
1 1 1
0 0 1
1 2 2
1 0 3
0 0 0
0 1 1
1 0 2
10 7
2 0 2
1 2 1
1 1 0
2 2 2
0 0 1
2 0 1
2 1 1
0 1 0
1 0 2
0 0 2
10 8
1 3 3
0 2 0
2 1 2
0 1 3
1 1 2
3 0 2
2 1 0
2 3 1
2 0 2
0 2 3
10 9
1 3 2
1 1 3
2 1 1
3 2 1
2 2 2
1 1 0
2 1 3
2 1 2
2 2 3
3 0 3
10 9
0 0 0
1 2 1
2 2 0
0 1 2
2 1 2
0 0 2
1 1 1
2 2 2
2 0 2
2 1 0
10 5
0 1 0
2 1 1
0 0 2
2 1 0
0 2 0
0 2 1
2 0 1
1 0 1
2 1 2
1 1 1
10 4
1 1 1
0 2 1
2 0 2
1 2 0
1 2 2
1 1 0
2 2 1
0 2 0
2 0 0
0 0 2
10 4
2 2 1
1 2 0
0 0 2
0 1 2
2 1 2
1 2 2
1 1 1
2 1 0
0 2 1
1 2 1
10 8
1 0 2
2 0 3
1 1 3
2 0 0
3 1 1
2 2 2
0 3 3
2 3 0
1 1 2
3 2 1
10 6
0 3 2
3 3 1
0 0 1
1 2 1
1 2 0
3 0 2
2 2 0
1 0 2
1 2 2
3 2 0
10 2
0 2 1
0 1 1
2 2 1
0 1 2
0 1 0
0 2 2
1 2 0
2 1 2
1 2 2
2 2 0
10 7
0 2 2
2 1 1
0 2 1
1 2 1
2 2 2
1 2 2
0 1 2
2 0 1
1 0 0
0 0 2
10 5
3 0 0
0 0 2
0 3 3
1 3 1
0 0 0
2 0 3
3 2 2
3 0 1
0 0 1
0 2 3
10 9
2 2 1
2 0 0
1 0 1
0 2 0
0 0 0
0 0 1
1 2 2
0 0 2
1 1 2
2 1 1
10 9
2 0 0
1 2 0
2 2 2
2 2 1
1 0 0
2 0 1
0 2 2
1 1 1
0 2 1
2 2 0
10 5
2 0 0
2 2 1
0 0 3
2 0 2
0 3 1
3 3 0
0 2 2
2 3 2
2 3 0
0 2 3
10 4
2 2 2
0 0 0
1 1 0
0 0 2
1 2 1
2 2 0
2 0 0
0 2 2
1 1 2
2 1 2
10 7
2 2 2
2 1 1
0 1 2
1 2 0
0 2 2
2 0 1
1 1 1
1 0 0
1 0 2
0 1 1
10 9
3 3 0
3 2 2
1 0 3
1 1 0
1 3 3
3 2 0
1 0 1
0 2 2
0 1 3
0 0 0
10 6
1 2 0
1 1 3
0 3 0
1 3 1
2 1 2
3 3 1
1 1 1
2 3 0
3 0 3
0 2 3
10 4
2 1 0
0 0 0
0 0 2
1 2 0
1 0 0
2 1 1
0 0 1
1 2 1
1 1 0
1 1 1
10 9
2 3 0
1 0 3
3 2 0
0 0 1
2 3 1
3 3 2
0 2 3
0 2 2
2 0 2
1 1 3
10 3
3 0 1
2 3 3
0 2 3
0 1 2
3 2 3
1 3 2
0 3 3
3 0 3
3 3 3
3 2 2
10 5
2 2 1
3 1 3
2 2 2
2 2 3
1 0 0
3 3 0
0 3 1
0 0 0
0 0 3
1 0 3
10 5
2 0 2
1 1 1
2 0 0
2 2 1
1 1 0
1 1 2
1 2 1
2 1 1
2 1 2
0 2 2
10 8
0 1 1
1 1 2
2 0 0
0 2 1
2 1 2
1 0 1
1 2 0
0 2 2
2 1 0
1 1 0
10 5
2 1 2
3 1 0
3 3 1
3 1 2
0 0 1
2 0 0
3 0 1
1 0 2
0 3 3
1 3 0
10 6
2 1 2
2 1 1
2 1 0
1 0 0
2 2 2
2 0 2
1 0 1
2 2 0
1 2 0
0 2 1
10 8
2 2 0
2 0 0
0 0 0
1 3 3
1 3 1
2 2 2
2 0 3
1 2 3
0 2 2
1 2 1
10 5
0 2 2
0 1 2
1 2 2
3 2 2
2 0 0
2 1 2
1 1 2
0 2 3
0 3 2
2 0 3
10 7
0 1 2
2 2 1
2 2 2
2 2 0
1 1 0
0 2 2
2 1 1
0 0 2
0 0 1
2 1 2
10 5
0 1 1
0 0 0
1 1 2
2 1 0
2 2 0
2 2 1
1 2 2
0 0 1
0 1 0
1 0 0
10 2
2 0 2
2 1 2
1 3 2
2 0 3
2 3 3
0 1 3
0 2 2
1 0 3
3 0 2
3 2 1
10 6
1 2 1
1 3 3
1 1 1
1 3 0
1 3 2
0 1 1
0 2 2
1 3 1
2 2 2
2 2 0
10 3
3 3 1
2 0 0
1 1 0
3 1 0
1 1 1
2 1 0
3 1 2
3 0 3
0 3 1
2 2 0
10 5
0 2 0
2 0 1
3 2 2
3 3 1
3 0 2
0 3 2
2 3 2
1 1 3
2 1 2
1 1 2
10 9
1 0 3
3 2 0
0 0 1
0 2 1
1 2 2
2 1 0
3 2 3
1 3 3
2 2 1
3 0 0
10 9
0 1 1
2 0 0
1 1 1
1 1 2
1 0 1
0 2 0
1 2 0
1 1 0
1 2 2
2 2 1
10 3
3 3 0
1 3 3
3 2 3
3 1 3
3 1 1
0 0 0
3 2 0
1 0 3
0 3 0
1 0 1
10 7
1 3 2
1 3 0
3 1 1
3 0 3
1 0 1
2 1 1
0 3 1
3 3 2
2 0 3
0 1 0
10 9
3 1 1
2 2 1
2 3 0
0 1 3
0 3 1
1 1 0
1 0 1
2 1 2
0 2 1
1 2 1
10 4
0 0 2
0 0 0
2 2 2
2 0 1
0 1 1
0 1 2
2 1 2
1 2 1
2 0 0
1 1 0
10 2
2 2 2
2 3 1
0 1 0
3 2 0
2 1 0
3 1 0
0 2 3
1 2 0
2 3 3
2 0 1
10 3
1 0 3
0 3 1
3 1 1
2 2 3
2 3 1
3 3 1
1 2 2
1 1 0
2 0 3
1 3 0
10 8
1 0 1
0 0 0
2 0 0
2 0 1
2 2 2
0 0 2
0 2 1
1 2 2
0 0 1
0 1 2
10 7
2 0 1
1 0 1
0 1 0
0 0 2
2 0 0
1 1 1
2 0 2
0 0 1
0 2 1
2 2 2
10 8
0 1 3
2 0 1
2 0 2
3 2 0
3 1 3
0 2 0
0 2 1
3 3 0
2 1 0
3 0 1
10 2
2 0 0
3 0 0
1 0 2
2 3 3
0 2 3
0 1 2
2 2 1
1 2 2
3 2 3
1 2 1
10 3
0 0 1
2 1 0
2 2 2
0 1 2
1 1 2
0 2 0
0 0 2
2 2 1
0 2 2
2 0 2
10 6
1 1 0
2 1 0
1 0 0
0 1 1
1 2 1
0 0 2
0 1 0
1 0 1
2 2 2
0 2 1
10 7
2 1 2
1 2 2
1 1 0
1 1 2
0 1 0
1 2 0
2 0 2
2 1 1
2 1 0
0 1 1
10 5
1 2 1
2 1 0
2 0 1
0 0 1
2 1 1
2 1 2
1 1 0
2 0 2
2 2 1
0 1 2
10 9
2 2 3
1 1 3
1 0 1
3 2 1
2 1 0
0 0 1
0 1 1
3 1 2
0 2 2
2 0 1
10 9
0 2 2
1 3 1
2 3 2
2 1 2
2 0 0
1 0 2
2 0 1
3 0 1
1 0 3
2 1 1
10 3
1 1 1
1 3 2
2 1 0
3 3 3
0 3 2
0 2 1
3 0 1
1 1 2
3 0 3
3 1 1
10 2
1 2 2
2 2 2
0 1 1
2 1 1
1 2 0
0 2 1
1 1 2
2 1 0
0 0 2
1 1 0
10 5
1 0 2
0 1 1
0 1 3
1 1 3
3 3 3
2 0 3
3 0 1
1 2 2
2 1 1
0 0 2
10 5
0 1 1
0 0 2
1 1 0
0 0 1
0 1 2
0 2 1
1 2 1
1 0 0
2 2 1
2 0 0
10 8
1 1 0
2 1 1
1 0 1
1 2 1
2 0 1
1 2 0
1 0 2
0 1 1
1 2 2
2 2 2
10 8
1 2 1
0 3 2
0 3 0
1 2 3
0 0 2
3 1 2
2 0 1
1 0 3
0 3 1
1 2 2
10 6
0 0 0
2 0 2
2 2 1
3 0 2
2 3 3
3 1 1
1 3 0
2 0 1
0 3 2
3 1 0
10 4
1 1 0
0 0 0
2 0 0
0 1 2
2 0 2
2 1 2
1 2 0
1 2 1
2 2 2
0 2 2
10 5
1 0 2
0 1 3
1 2 2
2 2 3
0 1 0
1 2 3
2 2 0
2 1 0
2 3 1
1 0 3
10 3
1 2 3
1 3 2
0 3 2
1 2 1
1 0 3
2 2 0
3 1 3
0 1 2
2 2 1
0 0 1
10 2
1 3 2
3 2 0
3 3 2
2 3 1
1 3 3
2 1 0
2 3 2
2 2 1
1 2 3
2 0 0
10 9
3 2 0
0 3 3
3 2 1
0 1 0
0 0 1
1 0 0
2 3 3
3 1 1
0 0 2
1 0 3
10 4
1 0 1
1 0 2
2 2 2
1 1 1
0 1 2
0 0 2
0 2 2
2 1 2
0 2 0
0 0 0
10 6
0 0 1
0 2 2
2 0 1
1 0 0
2 0 2
1 1 0
1 0 1
1 2 0
2 1 1
0 1 2
10 8
0 0 1
1 1 0
1 1 1
1 2 0
0 0 0
0 1 0
0 1 2
2 0 0
1 0 2
2 0 1
10 3
0 0 1
0 1 2
0 1 1
0 2 2
2 0 2
0 1 0
2 2 2
1 2 0
1 1 2
0 2 1
10 6
3 1 3
3 0 1
2 0 1
2 1 1
1 1 2
0 3 2
2 1 2
1 1 1
3 3 1
2 3 3
10 9
3 0 2
0 1 1
0 0 0
1 3 3
0 1 2
1 1 0
2 1 0
2 1 1
0 0 1
1 3 0
10 3
1 2 0
1 0 1
2 1 2
2 2 1
0 2 0
0 0 2
0 2 1
0 0 1
2 1 0
0 0 0
10 9
0 1 1
0 3 2
3 0 0
1 0 3
0 2 3
3 2 0
1 3 3
1 0 2
0 2 1
2 0 3
10 6
2 0 2
0 2 3
3 2 3
3 3 3
2 1 3
2 3 1
2 2 2
1 2 2
0 1 3
0 3 3
10 7
0 0 3
1 2 3
0 3 0
2 1 2
1 2 0
0 0 2
0 3 3
3 2 1
1 0 1
2 2 1
10 2
2 1 1
3 2 2
3 3 0
0 0 3
2 2 0
0 0 2
2 3 1
2 2 3
0 2 1
2 0 0
10 2
2 1 2
1 2 0
0 0 1
1 0 0
0 0 2
1 1 2
2 2 2
2 1 0
0 1 0
2 2 0
10 4
2 2 0
3 3 3
3 2 1
2 1 0
1 2 3
0 3 3
2 3 3
1 2 0
1 3 0
1 0 3
10 9
1 0 1
0 2 3
3 0 1
0 2 0
2 0 0
3 1 3
1 0 0
3 0 3
0 2 2
3 0 2
10 5
0 2 1
2 1 2
2 0 0
2 0 1
1 1 0
0 1 2
0 0 2
1 2 1
0 0 1
0 2 2
10 5
0 0 2
2 1 1
2 0 1
2 1 2
2 0 2
1 0 0
2 1 0
0 0 1
0 2 2
0 0 0
10 5
3 2 0
2 2 0
0 3 0
2 3 1
0 2 3
1 2 3
2 3 0
3 2 2
3 3 2
0 0 3
10 3
3 1 3
2 0 3
0 0 2
0 0 3
2 2 0
0 1 0
2 2 1
3 0 2
2 2 3
1 0 0
10 2
2 2 2
3 3 2
1 3 2
0 3 1
0 0 2
3 2 3
1 0 1
0 1 2
1 1 0
1 1 2
10 4
0 0 0
3 3 2
2 3 3
3 2 1
3 0 0
0 2 2
0 1 0
1 1 0
3 3 3
3 1 3
10 6
3 3 2
0 1 3
1 2 0
2 2 2
2 3 0
2 2 3
2 1 1
0 2 2
2 3 3
3 1 1
10 9
2 0 1
0 0 0
1 2 3
3 0 3
2 3 3
2 3 1
3 2 2
2 1 3
1 2 0
0 3 2
10 2
2 0 0
1 2 1
0 2 2
0 1 1
2 1 2
0 0 2
0 0 0
0 1 2
2 2 2
0 0 1
10 2
3 2 2
1 1 2
3 2 3
0 3 1
0 1 0
1 1 1
2 3 2
0 3 0
2 2 3
3 2 1
10 9
2 2 1
0 1 2
2 2 0
2 0 1
2 1 2
0 0 1
0 2 1
2 2 2
1 2 2
2 0 2
10 5
1 2 2
0 0 0
2 1 0
1 0 1
0 0 2
1 2 1
2 0 1
0 2 2
0 1 0
0 2 1
10 6
1 2 0
1 1 2
0 2 1
0 1 1
2 2 1
2 1 1
0 2 0
2 2 0
1 1 1
0 0 2
10 2
1 0 0
1 1 1
1 0 2
3 3 3
0 1 0
1 1 2
1 0 3
1 2 2
3 2 0
3 0 2
10 6
2 3 1
0 2 2
3 3 2
1 0 1
2 0 1
2 0 2
2 3 2
0 0 2
3 0 1
3 3 1
10 7
3 3 0
1 0 1
0 1 2
0 2 0
1 0 0
3 1 3
2 2 3
0 2 3
3 1 1
2 0 2
10 7
1 2 1
0 1 0
2 1 0
0 2 0
2 2 0
0 2 2
1 0 1
0 2 1
0 0 2
2 1 1
10 4
2 2 3
0 3 1
0 2 2
3 3 3
2 2 0
3 3 2
1 1 2
1 3 3
1 0 3
1 0 1
10 9
2 0 3
3 1 2
0 0 0
3 0 1
2 0 1
3 3 2
1 1 3
0 3 0
2 0 0
2 1 2
10 2
3 1 2
2 2 0
0 2 1
1 0 3
0 3 1
0 0 2
1 1 1
2 0 1
3 0 1
0 0 0
10 9
0 0 0
1 0 0
1 2 0
0 0 2
1 1 2
0 0 1
1 1 1
2 2 2
1 1 0
0 1 2
10 3
2 2 2
2 1 0
3 2 2
2 3 0
1 1 0
1 1 1
1 3 3
0 1 1
3 1 0
0 1 2
10 8
1 2 0
1 1 2
0 1 2
0 1 0
1 0 0
1 1 0
1 1 1
2 1 0
1 0 2
2 2 2
10 3
1 2 1
3 3 0
3 0 2
3 2 1
1 3 0
0 2 0
1 3 3
0 0 2
0 3 3
2 2 0
10 7
3 3 2
3 1 2
0 1 0
1 2 0
0 3 0
2 3 1
2 3 3
1 3 2
0 2 2
0 1 3
10 4
1 2 1
0 0 0
0 2 2
0 1 1
2 0 2
2 0 1
1 1 0
0 0 1
1 0 0
2 1 1
10 3
1 2 1
2 3 3
1 0 2
3 3 3
2 0 0
0 2 0
1 3 1
1 2 0
2 2 2
0 0 1
10 2
1 0 1
2 0 1
1 0 0
2 2 2
1 1 1
0 0 1
1 2 2
0 1 1
0 1 2
1 0 2
10 9
2 3 3
2 2 0
3 1 0
0 3 2
1 0 0
1 2 1
1 1 2
1 1 0
1 0 2
3 0 1
10 3
2 0 1
0 0 0
0 0 2
2 0 2
0 2 2
2 1 1
1 0 0
0 1 2
2 2 0
2 1 2
10 3
3 3 0
1 0 2
2 0 3
1 3 1
1 0 0
3 0 2
2 3 0
1 1 0
0 0 2
1 1 1
10 2
0 0 3
0 2 2
0 1 2
2 2 0
3 0 1
2 0 1
0 2 0
0 0 2
1 2 3
3 2 1
10 6
1 1 2
2 2 2
0 0 0
0 0 1
0 1 0
1 1 0
0 2 0
1 0 0
2 1 1
2 0 0
10 4
3 1 3
1 3 1
1 1 0
2 2 2
0 3 1
3 2 1
2 2 0
3 3 3
0 0 3
1 2 1
10 8
2 0 0
1 0 0
2 2 0
0 0 0
1 1 0
0 1 2
1 2 0
1 1 2
1 2 1
0 2 0
10 8
1 0 1
2 0 1
0 2 3
3 3 2
3 1 3
1 0 0
3 0 3
2 3 1
0 3 1
3 1 2
10 7
2 1 2
0 1 0
2 1 1
0 2 1
0 2 2
2 2 1
2 2 2
1 2 0
2 0 0
2 0 2
10 8
2 0 1
0 1 0
1 2 2
2 0 2
2 1 0
1 1 0
1 0 2
1 0 1
1 1 2
1 0 0
10 6
2 0 3
3 1 1
3 0 1
3 1 3
3 0 0
3 0 2
1 2 2
2 0 0
1 2 3
3 3 2
10 9
0 2 1
1 1 1
2 3 1
0 2 0
1 3 1
1 2 2
3 2 2
1 0 3
1 3 0
3 0 3
10 6
1 2 3
2 0 0
2 3 2
0 0 2
2 0 2
0 3 0
0 3 1
0 0 0
2 0 1
2 2 2
10 2
0 0 2
0 1 0
2 1 2
0 2 2
1 0 0
0 2 0
1 2 2
1 0 2
2 0 0
2 2 2
10 9
1 2 0
2 1 0
0 1 0
0 0 2
0 0 0
0 2 1
0 1 2
2 0 1
0 1 1
1 0 0
10 9
0 1 1
1 1 2
0 2 1
2 2 2
2 1 1
0 0 1
0 0 2
0 1 0
1 2 2
2 2 1
10 2
2 1 0
2 1 1
1 0 1
2 2 2
0 0 2
2 1 2
1 1 2
1 2 1
2 0 2
0 2 0
10 7
2 0 0
1 2 1
1 2 2
0 0 0
2 0 1
2 1 0
0 0 2
1 0 1
2 2 2
0 2 1
10 3
2 1 3
3 1 1
1 2 3
1 0 3
0 1 3
3 0 0
1 3 2
0 2 3
0 0 0
1 2 0
10 6
0 0 2
3 0 2
2 1 2
1 2 1
1 3 1
3 0 3
1 0 3
3 2 1
3 0 1
0 1 3
10 7
1 2 0
2 0 1
3 0 1
2 2 2
0 0 0
3 1 3
1 0 0
3 3 3
1 1 3
2 0 2
10 4
1 0 1
2 2 2
1 0 2
0 2 2
1 1 1
2 1 0
0 0 1
1 0 0
1 2 2
0 1 2
10 8
3 2 0
3 1 1
1 3 0
3 0 1
3 0 3
2 3 2
3 1 0
3 2 3
1 1 2
2 1 0
10 7
1 2 3
3 2 3
3 0 0
0 1 0
0 1 1
2 0 2
3 2 2
0 1 2
3 3 2
1 3 2
10 7
1 2 1
3 3 2
1 2 3
1 0 0
3 2 3
2 0 1
2 3 3
3 1 2
0 2 1
0 0 2
10 9
1 1 0
1 0 0
0 1 0
0 0 0
2 1 1
0 2 0
0 0 2
1 0 1
2 2 2
2 2 1
10 7
2 0 1
2 2 1
2 1 1
1 1 1
1 2 0
0 0 0
0 2 1
2 1 2
0 0 1
0 1 2
10 5
0 2 0
2 2 3
0 3 1
3 1 0
1 3 1
1 2 3
3 0 0
1 3 2
3 2 0
3 3 1
10 7
0 0 0
0 3 2
3 0 1
1 1 2
3 1 3
3 3 0
1 0 1
2 0 3
3 3 2
3 1 0
10 6
2 2 2
0 2 1
2 0 0
1 0 1
2 2 0
0 1 1
0 2 0
2 1 0
0 0 0
2 1 2
10 2
0 2 2
2 2 0
2 0 2
2 2 1
0 0 2
2 0 1
1 2 1
2 2 2
0 2 0
1 1 1
10 5
1 2 0
0 2 1
0 2 2
2 0 1
2 1 1
2 2 1
1 1 2
2 2 0
1 2 2
2 1 0
10 6
1 0 1
2 3 0
0 2 2
2 0 1
1 1 2
3 2 1
1 0 3
2 0 0
2 1 3
0 3 2
10 9
3 2 3
1 2 3
3 1 0
2 1 3
3 0 2
1 0 1
2 0 0
3 1 2
2 3 0
0 0 0
10 7
0 0 1
3 0 1
2 3 2
3 3 3
0 1 2
0 3 1
3 1 3
3 1 2
2 1 1
1 3 1
10 2
3 2 0
1 0 0
3 1 2
2 3 2
1 1 2
1 3 2
3 0 1
1 0 3
3 1 3
2 2 0
10 3
3 0 2
2 0 0
3 1 1
3 2 0
1 2 1
2 1 3
1 2 0
2 2 1
0 2 2
0 2 0
10 6
1 0 1
0 0 0
2 0 0
0 1 2
1 2 2
2 0 2
2 1 0
1 1 1
0 2 2
1 1 2
10 4
1 0 1
0 1 0
2 1 0
0 0 0
0 2 2
2 0 2
1 2 0
0 2 1
0 1 1
0 0 2
10 2
0 1 0
0 3 0
3 2 3
2 0 3
1 3 2
0 3 2
1 0 3
0 1 3
3 0 3
0 3 3
10 5
0 0 2
1 0 2
0 1 2
1 1 0
0 2 2
2 0 0
1 1 1
1 0 0
2 1 0
1 1 2
10 3
1 1 3
1 0 0
1 3 2
1 2 1
3 0 1
2 2 0
2 3 1
3 3 0
0 0 3
2 1 3
10 4
3 0 0
0 0 1
1 2 1
1 1 3
3 3 0
3 0 1
1 0 1
0 0 2
0 2 2
2 2 1
10 9
2 1 1
2 2 2
1 0 1
2 2 1
1 0 0
1 1 0
1 2 2
0 1 0
0 0 0
0 0 1
10 5
2 1 2
1 0 1
1 0 0
1 1 0
0 0 0
1 2 0
0 1 1
0 2 1
1 1 2
1 2 2
10 2
1 2 1
2 3 3
2 0 2
1 2 0
3 3 3
1 1 0
3 2 1
0 2 3
0 2 0
2 0 1
10 3
0 0 2
0 1 1
1 0 2
0 2 1
1 1 1
1 0 1
1 1 2
2 1 2
1 2 0
2 0 2
10 4
2 1 0
0 0 2
1 1 2
0 0 0
2 1 1
1 2 0
1 1 1
1 2 2
2 2 0
0 2 0
10 2
0 0 0
2 1 2
2 2 2
0 1 1
2 1 0
2 1 1
0 2 0
0 0 1
0 1 2
1 0 0
10 7
2 3 0
0 0 0
0 3 1
0 3 2
0 0 1
0 2 3
3 0 3
1 3 0
1 0 1
1 1 2
10 4
2 0 0
2 3 2
1 3 1
3 1 2
0 0 1
3 3 0
0 1 3
3 2 0
2 0 1
1 1 2
10 8
2 2 0
0 2 1
2 1 0
0 0 3
0 0 0
3 0 2
2 0 1
2 3 3
1 0 0
2 3 2
10 8
1 2 2
1 0 1
0 1 0
2 2 2
1 2 1
0 2 1
2 0 1
2 2 1
1 0 2
0 0 2
10 3
3 0 2
1 3 3
1 3 2
0 3 2
2 2 1
1 2 0
2 0 3
3 1 3
1 0 0
3 0 0
10 3
2 2 1
2 0 0
3 2 1
3 0 0
2 3 0
1 1 1
3 1 1
3 1 3
2 1 1
1 1 2
10 3
1 0 2
2 2 2
2 1 0
2 2 1
0 1 2
1 0 0
1 1 1
1 1 0
1 1 2
0 1 1
10 4
2 0 2
3 3 1
1 2 3
0 3 2
0 0 2
1 2 1
3 2 3
0 1 0
2 2 0
3 1 3
10 3
1 1 1
0 1 0
1 2 2
2 1 0
1 2 0
0 0 0
2 0 2
2 2 0
0 1 1
2 1 1
10 2
0 2 0
1 3 1
3 0 0
3 1 0
2 1 1
1 0 0
2 0 3
0 3 3
0 1 3
2 3 3
10 5
3 1 2
1 3 1
1 0 0
3 1 1
2 1 3
2 2 3
3 0 3
1 2 1
2 2 2
2 0 0
10 4
1 2 0
0 1 1
2 1 0
1 0 1
2 2 1
1 0 2
1 2 2
2 1 1
2 2 2
2 0 2
10 3
1 1 0
2 2 1
2 0 1
2 0 2
1 2 2
1 0 0
1 0 1
2 1 2
2 2 2
1 1 1
10 6
0 1 2
0 0 0
0 2 1
2 0 1
1 2 0
2 1 0
1 0 0
0 1 1
2 1 1
1 2 2
10 8
2 1 1
1 0 0
1 1 0
1 0 1
0 2 0
0 2 2
0 1 1
2 2 0
2 0 1
1 2 0
10 4
0 2 0
1 0 1
0 1 0
2 2 1
1 1 2
0 1 1
0 0 1
1 2 0
2 0 0
1 1 0
10 6
1 0 3
3 3 2
2 2 2
1 3 0
0 1 2
0 2 0
2 1 1
0 3 3
2 0 1
2 3 0
10 3
1 1 2
1 3 3
2 2 1
3 2 1
2 1 3
1 1 1
2 2 0
0 0 1
3 2 2
3 0 1
10 4
1 1 3
1 3 3
2 0 0
3 3 1
1 0 1
0 3 0
0 2 1
1 3 0
3 2 1
1 0 3
10 7
0 2 0
2 1 0
1 1 1
0 0 2
0 2 1
2 2 0
1 0 0
1 2 2
1 1 2
2 2 2
10 2
2 1 1
2 0 0
0 2 2
2 1 2
1 1 1
1 2 0
2 2 2
0 2 1
2 1 0
0 1 0
10 7
1 1 0
1 2 1
0 1 2
0 2 1
1 0 1
1 2 0
0 1 1
1 1 1
2 0 2
2 0 0
10 4
1 0 1
1 0 0
0 2 1
0 1 2
0 0 0
0 0 2
2 2 2
1 1 0
1 2 1
2 1 0
10 9
1 1 0
1 2 2
0 0 3
1 0 1
0 0 2
2 0 3
2 0 2
0 1 0
1 0 3
0 3 1
10 3
1 2 0
1 1 1
1 0 0
2 2 2
2 0 1
2 2 1
0 0 0
0 1 2
0 2 2
1 0 1
10 5
0 2 1
0 2 2
2 1 2
2 1 0
0 1 1
1 0 0
0 1 2
1 2 2
1 1 1
2 2 0
10 9
2 3 0
3 1 2
1 1 1
2 1 3
1 3 3
1 0 2
2 2 1
2 0 3
2 3 2
0 2 1
10 4
2 2 1
3 0 3
0 3 2
0 2 2
2 1 3
1 1 3
3 2 2
3 2 3
0 0 1
3 3 1
10 3
0 2 3
3 2 1
2 3 2
0 2 2
3 0 1
3 1 1
0 2 1
3 0 0
3 0 3
1 2 2
10 3
0 1 2
0 1 0
1 2 2
2 1 2
0 2 0
1 0 1
0 2 2
2 1 0
1 1 1
1 0 2
10 8
1 2 0
1 2 1
1 0 1
2 1 0
0 0 2
0 2 0
2 1 2
1 1 2
1 1 0
2 2 2
10 4
0 1 0
2 0 0
2 2 1
1 0 1
1 0 2
1 1 0
0 2 1
0 0 0
1 2 0
1 1 1
10 3
1 2 1
2 0 2
0 2 2
0 0 2
1 0 1
2 1 0
1 1 0
1 0 0
2 1 2
2 2 0
10 5
2 2 0
0 3 3
1 2 1
3 3 0
0 0 2
2 2 1
2 1 1
2 3 2
0 2 2
3 1 3
10 6
2 0 2
2 2 2
2 0 0
1 0 2
0 0 2
1 2 2
1 2 1
0 2 0
2 1 1
2 1 0
10 4
1 2 1
2 3 1
2 1 3
3 1 1
1 1 3
2 3 2
2 2 1
2 0 1
2 3 3
0 1 2
10 3
2 0 1
1 1 1
0 1 0
2 1 1
0 0 0
2 1 2
2 0 0
0 2 1
1 2 0
0 1 1
10 4
0 1 2
2 2 2
0 0 0
2 1 1
1 0 2
0 0 1
0 1 0
1 1 2
0 2 1
0 0 2
10 5
0 0 1
3 3 2
2 3 0
1 3 2
0 1 3
2 2 1
0 3 0
3 2 1
2 1 3
2 2 2
10 5
0 3 2
3 2 3
3 1 1
1 0 3
3 3 0
1 1 0
3 3 3
1 1 2
3 1 0
2 0 2
10 2
0 2 1
0 2 2
1 0 0
1 1 2
2 1 2
0 0 0
2 1 0
1 1 1
2 0 0
1 2 0
10 9
1 1 1
2 3 0
3 3 2
1 2 2
2 3 1
2 2 1
2 0 0
3 0 2
0 0 3
2 0 3
10 6
0 1 2
0 1 0
1 1 1
1 2 1
1 0 0
1 2 0
2 2 0
2 1 0
0 2 1
0 0 1
10 9
1 0 0
2 1 0
0 2 1
1 2 2
2 0 0
1 0 1
2 3 1
0 3 0
1 3 0
1 2 0
10 7
2 0 0
1 0 0
0 0 1
2 0 3
0 3 1
2 2 2
3 2 1
3 0 3
0 3 0
0 3 3
10 7
0 2 0
2 1 0
0 0 1
0 2 1
0 0 2
1 2 2
0 1 2
1 1 1
1 2 1
2 0 1
10 8
3 2 0
2 0 0
0 3 0
0 2 0
0 0 1
2 2 3
3 3 0
0 2 3
3 1 3
1 2 0
10 6
1 3 3
3 1 2
0 3 3
2 3 2
2 3 3
3 2 0
2 2 2
0 2 2
2 0 1
2 2 0
10 8
1 0 1
2 2 1
2 0 2
0 2 2
1 2 2
0 1 2
2 0 1
0 0 2
2 2 2
1 2 1
10 7
1 2 3
3 3 3
0 2 0
2 0 3
0 1 0
0 2 2
2 0 2
3 3 0
2 2 3
2 0 0
10 4
2 0 0
3 1 0
1 2 0
3 1 3
0 3 3
3 2 1
0 2 3
0 2 0
2 2 3
3 0 2
10 9
0 1 2
0 0 0
1 2 2
2 1 2
0 2 1
1 2 1
2 2 1
0 1 0
2 0 0
0 1 1
10 4
0 1 2
1 1 2
1 0 0
1 1 1
1 2 1
2 2 1
2 2 2
1 0 1
2 0 1
1 0 2
10 3
3 3 0
1 1 0
1 0 2
0 0 2
1 1 3
2 2 2
0 0 1
0 3 0
0 0 0
1 3 3
10 4
3 2 1
2 1 1
1 2 1
1 0 2
0 2 2
3 3 1
3 0 3
2 1 3
2 2 1
1 1 3
10 9
2 0 1
0 0 0
2 1 2
0 1 1
0 2 2
1 0 0
2 1 0
0 2 1
1 2 1
0 1 0
10 7
0 3 0
1 2 0
1 2 3
3 0 1
1 1 0
3 1 0
0 0 0
2 0 1
2 2 3
2 2 1
10 4
1 2 2
2 0 2
1 1 0
1 1 1
1 0 0
2 1 2
1 2 1
2 2 2
2 2 0
2 0 1
10 3
1 1 0
1 0 2
0 0 0
2 2 1
0 1 1
1 2 2
0 1 0
2 2 0
1 1 1
0 1 2
10 4
1 0 1
2 1 2
2 0 1
2 2 3
2 3 0
1 1 0
3 3 1
1 2 1
1 2 2
3 1 2
10 6
3 0 3
0 1 3
3 0 1
2 0 2
3 3 2
1 0 2
0 2 1
0 0 2
2 3 0
2 1 2
10 5
3 1 3
2 2 1
0 3 3
0 0 3
2 0 0
0 1 0
3 3 2
0 3 2
3 0 0
3 3 0
10 2
0 2 2
0 0 1
1 2 0
0 1 0
2 2 1
2 1 1
2 1 0
2 0 0
0 1 1
2 2 2
10 3
2 0 1
0 2 2
0 0 1
1 2 1
2 1 1
0 0 0
2 2 0
0 1 0
2 1 0
2 1 2
10 5
3 3 1
3 1 0
1 2 2
0 2 1
2 0 3
2 0 0
2 1 2
1 0 3
1 2 0
1 3 2
10 7
2 1 1
3 0 0
2 0 2
2 2 3
3 0 1
0 0 0
0 2 0
1 0 0
0 1 1
0 1 3
10 5
2 1 2
0 3 0
3 1 0
2 2 1
2 2 3
0 3 2
2 2 0
3 2 1
2 1 1
1 0 1
10 4
1 2 2
0 1 3
3 1 0
2 0 0
1 1 0
3 2 1
0 3 0
0 2 1
1 0 1
0 2 2
10 6
3 3 2
3 2 2
1 1 0
0 1 2
1 2 2
3 0 3
3 1 3
0 0 3
3 3 1
0 3 2
10 6
0 1 1
3 1 3
3 3 3
0 3 0
2 2 0
0 3 2
0 3 1
1 2 1
1 2 2
1 0 1
10 9
0 1 2
2 0 0
0 0 3
3 3 0
2 3 2
1 3 2
0 2 0
0 3 1
3 2 0
1 2 2
10 6
0 2 2
0 0 2
0 2 0
0 0 0
0 2 1
2 0 1
1 2 0
1 2 2
1 0 2
2 2 2
10 9
3 1 1
1 3 2
2 1 1
0 1 1
2 2 2
0 2 2
2 0 3
3 1 0
0 2 3
0 0 2
10 8
1 2 1
2 3 2
1 2 0
3 0 1
2 1 3
0 3 2
1 0 0
0 1 3
3 1 3
1 2 3
10 6
0 3 2
2 3 3
1 3 2
0 2 1
2 2 3
2 3 0
2 2 2
1 0 0
0 1 1
3 1 0
10 3
0 1 0
0 2 2
2 2 0
1 0 1
1 1 0
0 1 1
1 2 1
2 0 2
2 2 1
0 0 0
10 5
2 1 1
0 0 1
2 1 2
1 2 2
1 0 1
0 2 1
1 1 0
0 2 2
2 0 0
1 1 1
10 7
2 2 1
1 0 2
2 1 1
2 0 2
1 2 0
0 2 0
0 1 0
2 1 2
1 2 2
2 0 1
10 4
2 0 3
1 1 3
0 1 1
0 2 0
0 1 3
1 1 2
0 0 3
1 1 0
1 3 0
2 1 1
10 3
1 2 0
0 1 0
0 2 2
0 2 1
0 0 0
2 1 2
2 0 1
1 1 1
1 0 2
1 0 0
10 6
0 1 1
0 2 2
2 3 0
0 3 2
3 0 1
3 3 1
3 0 0
3 2 1
1 1 1
3 2 3
10 4
2 2 1
0 1 2
1 1 2
0 0 1
2 1 2
2 2 0
1 2 2
1 0 0
2 0 1
0 1 1
10 8
1 0 1
2 2 1
0 2 2
1 1 0
2 1 0
1 2 0
2 2 2
2 0 1
1 1 2
0 1 1
10 5
1 2 2
2 1 1
0 1 1
2 2 1
0 0 2
0 0 0
1 0 1
0 1 2
2 0 2
1 0 2
10 9
0 2 0
0 1 0
2 1 0
0 0 2
1 1 2
1 2 0
0 2 1
1 1 1
0 1 1
2 0 0
10 4
3 2 3
2 1 2
0 3 2
2 0 1
1 2 0
0 2 3
3 1 0
0 0 3
3 0 3
2 0 0
10 6
0 0 1
0 3 3
3 2 0
3 0 1
0 2 0
3 2 1
0 2 3
2 1 1
3 2 3
2 3 1
10 6
1 1 3
2 1 3
0 0 2
0 2 0
2 2 3
3 0 2
1 2 1
3 0 1
3 0 0
2 3 0
10 7
3 3 3
2 3 1
2 0 1
0 0 3
3 0 0
0 0 1
3 3 2
1 1 0
3 3 1
2 0 3
10 6
2 2 0
1 2 1
1 0 0
0 0 0
0 2 2
0 0 2
1 0 1
2 2 2
0 1 2
0 1 1
10 7
2 2 1
0 2 0
2 1 1
2 1 2
0 1 0
0 0 2
0 2 1
1 0 0
2 0 1
1 1 0
10 6
0 2 0
2 0 2
2 1 2
1 0 2
1 2 0
1 2 2
0 0 0
0 0 2
1 0 0
2 0 1
10 7
2 0 0
1 0 0
1 2 3
0 0 1
3 3 1
3 1 2
2 2 1
0 2 3
2 1 1
1 1 2
10 7
3 1 2
3 0 1
3 0 2
2 3 1
2 0 2
0 1 3
2 3 0
1 0 0
3 2 3
3 2 2
10 6
3 0 2
3 2 3
2 0 2
2 0 0
3 3 0
1 0 2
1 2 3
1 3 3
3 3 2
0 1 0
10 9
0 0 0
0 2 0
1 1 0
2 1 1
0 0 1
0 0 2
0 1 1
2 0 2
2 2 0
2 2 2
10 2
2 0 0
0 2 0
1 2 0
1 1 2
2 1 1
0 2 1
1 2 2
1 2 1
1 0 2
0 0 2
10 2
2 0 0
2 2 2
2 1 0
1 2 1
1 2 0
1 0 2
0 0 0
1 2 2
1 1 1
0 0 1
10 2
0 0 2
0 2 2
2 2 1
0 0 1
1 1 0
2 2 2
2 0 1
0 2 0
1 1 2
2 2 0
10 2
0 0 1
2 0 2
2 1 0
1 1 0
1 1 2
1 0 1
0 1 2
0 2 0
2 1 2
1 1 1
10 7
1 2 2
0 1 1
3 0 0
3 1 0
0 0 3
0 0 2
0 1 3
0 2 1
0 0 1
2 1 0
10 8
2 3 1
3 3 2
1 3 3
1 1 2
3 2 3
0 3 0
3 1 3
3 1 2
0 1 2
0 0 2
10 6
0 2 0
1 1 0
0 2 2
1 1 1
2 2 2
2 2 0
2 2 1
0 1 0
2 1 0
1 2 0
10 9
1 1 2
0 0 2
2 1 2
1 0 1
1 2 1
2 2 2
1 2 2
0 0 1
0 2 0
1 0 2
10 7
0 1 1
3 0 2
1 1 3
0 3 1
3 0 0
2 0 3
1 3 3
0 3 2
2 2 2
2 1 1
10 6
1 2 2
1 2 0
0 2 2
2 2 2
2 1 2
0 0 0
2 0 2
1 1 0
2 1 1
0 0 1
10 2
2 0 1
2 1 1
1 2 1
1 2 2
2 2 0
2 2 2
0 0 0
0 1 1
0 0 1
0 0 2
10 9
0 0 0
2 2 0
0 2 1
1 1 0
2 0 2
1 0 1
1 0 0
2 0 0
0 2 0
0 0 2
10 7
2 0 2
1 2 1
1 2 0
1 2 2
0 1 3
0 0 0
3 0 3
0 0 3
1 0 3
2 1 2
10 7
1 1 3
3 0 1
2 1 1
3 2 3
0 3 3
2 1 0
3 3 0
0 1 0
2 2 2
2 3 0
10 4
0 2 1
0 0 2
0 2 0
0 3 0
3 1 2
2 3 0
3 2 1
3 3 0
0 0 0
0 0 3
10 2
3 2 1
2 1 2
2 1 0
1 2 2
2 2 0
0 2 0
1 0 0
2 0 3
2 3 0
3 0 1
10 7
3 0 3
2 3 3
0 0 3
0 1 1
0 1 3
1 1 1
3 1 3
3 1 1
1 2 0
0 3 0
10 2
2 3 0
2 0 0
0 0 0
3 0 1
1 0 0
3 3 1
0 0 3
2 1 1
0 1 1
3 2 0
10 3
0 0 2
1 0 0
2 1 1
0 2 1
2 2 1
2 1 2
1 1 1
1 2 0
1 2 2
0 2 0
10 2
1 0 0
2 2 0
2 0 2
0 0 0
0 0 2
0 2 2
0 1 2
1 2 0
1 2 1
0 2 0
10 4
2 1 2
2 0 0
0 2 2
0 2 0
1 2 1
1 0 2
1 2 0
1 0 0
1 1 1
2 2 1
10 4
1 1 0
1 2 0
1 1 2
0 0 0
0 0 1
1 2 1
1 0 1
1 1 1
1 0 0
0 1 0
10 9
1 2 2
2 2 0
0 2 0
0 0 1
0 1 2
1 1 0
0 1 0
2 0 2
1 0 0
2 0 1
10 3
0 1 2
1 3 1
1 1 3
2 0 0
3 3 0
3 0 3
2 1 3
2 3 2
3 1 0
3 1 1
10 5
2 3 2
2 3 1
2 3 0
1 1 2
3 1 1
0 0 1
0 1 0
0 0 3
3 2 1
2 1 3
10 9
2 0 1
3 2 1
0 0 1
1 2 3
3 1 3
3 0 0
3 0 1
2 3 0
2 0 2
1 2 0
10 7
2 2 1
3 0 1
1 3 2
1 2 3
2 2 0
1 0 3
0 0 2
1 1 1
3 2 2
0 2 2
10 2
0 1 2
0 0 2
0 2 1
1 1 0
0 2 2
0 1 1
1 2 0
2 0 2
2 1 1
2 2 1
10 6
2 0 2
0 0 1
2 2 2
1 2 0
1 0 0
2 1 1
1 2 2
2 2 1
1 1 0
2 2 0
10 5
0 1 0
0 1 1
2 3 2
0 3 2
1 0 3
1 1 3
1 0 2
1 2 3
3 0 3
2 2 1
10 7
2 1 0
2 1 2
2 2 3
2 1 3
0 1 1
0 0 3
1 0 0
1 3 3
0 3 0
3 0 3
10 2
0 2 2
2 1 0
2 2 2
0 0 2
0 2 0
1 1 1
1 1 2
2 2 0
0 1 0
0 0 0
10 9
1 2 2
0 1 0
1 0 2
2 1 0
1 1 2
0 0 2
2 0 1
1 0 1
2 2 0
0 2 1
10 7
1 0 1
1 0 2
3 3 0
3 0 3
0 0 1
2 3 2
2 1 3
2 1 2
1 2 2
2 1 1
10 3
0 2 0
1 1 1
2 0 3
0 1 2
2 0 1
1 0 2
2 2 0
0 0 3
2 1 0
1 2 1
10 3
1 2 1
1 1 0
0 0 2
0 1 0
1 0 2
1 2 0
2 1 0
1 1 2
2 2 0
2 0 0
10 8
1 0 1
0 2 0
1 1 2
2 2 1
0 2 2
0 0 0
2 0 2
2 0 0
1 2 2
2 1 1
10 9
1 0 3
0 2 2
1 2 2
3 1 0
0 2 3
1 2 0
3 0 2
3 2 2
0 1 3
0 0 2
10 5
2 3 3
2 3 1
1 1 2
2 0 1
3 0 0
1 1 3
2 3 2
0 0 2
0 3 0
1 2 2
10 6
1 3 2
0 0 0
1 0 2
1 1 1
2 1 2
2 1 1
0 3 1
0 1 3
0 2 0
0 0 1
10 6
1 2 3
1 0 1
0 1 1
0 0 1
3 3 0
3 0 1
2 0 0
1 2 1
0 2 0
2 3 1
10 4
2 1 0
0 0 2
1 2 2
2 1 1
2 0 1
0 1 1
2 1 2
2 0 2
1 0 2
0 1 2
10 2
2 3 3
0 1 2
2 3 0
1 0 1
3 1 3
1 0 0
0 0 0
2 0 1
3 3 2
1 3 3
10 9
0 1 3
3 2 1
2 2 0
0 2 2
0 1 2
3 2 3
0 2 1
1 2 2
1 0 1
1 3 3
10 7
0 1 1
1 0 0
0 1 0
1 2 1
2 1 0
0 2 0
1 0 1
1 1 1
0 2 2
1 1 0
10 2
0 0 0
0 1 1
0 2 0
1 0 0
1 0 1
0 0 2
1 1 1
2 1 0
2 2 0
1 1 2
10 8
1 1 0
2 0 3
0 3 1
0 2 2
2 1 3
2 1 2
2 3 2
0 0 3
1 2 2
1 2 1
10 8
1 1 0
2 1 1
2 2 2
0 0 0
2 2 0
0 1 1
0 1 2
1 0 0
0 2 2
2 1 2
10 2
2 2 3
3 1 1
1 1 3
2 0 3
0 0 1
2 0 0
0 1 2
1 1 0
3 3 3
3 0 2
10 7
2 3 2
3 1 2
3 3 3
1 0 1
1 0 0
3 0 3
2 0 1
1 2 1
2 1 2
1 3 1
10 9
2 3 0
2 1 3
1 3 3
0 2 1
3 1 2
0 3 0
3 3 2
2 2 3
2 2 0
3 1 1
10 2
3 3 3
3 3 1
2 1 1
3 2 2
0 2 0
3 1 2
1 3 0
0 1 2
0 3 0
2 0 2
10 2
1 2 2
1 1 0
0 1 0
0 2 0
1 2 0
2 2 0
2 1 0
2 0 0
1 1 2
0 1 1
10 8
2 0 1
2 2 2
0 1 2
1 1 0
2 2 1
1 2 1
1 0 0
0 2 0
1 1 2
2 1 0
10 5
0 1 2
3 2 1
0 0 0
2 0 1
3 2 3
1 2 0
2 1 0
3 3 1
2 3 2
2 0 0
10 4
1 1 0
0 1 0
0 1 1
2 0 1
1 0 0
2 1 0
2 0 0
2 2 0
2 0 2
0 2 1
10 4
3 2 1
0 1 0
1 3 3
0 1 3
2 3 0
3 0 3
1 2 0
2 0 3
2 1 0
0 2 0
10 8
0 2 2
0 0 1
2 0 2
0 2 0
0 0 0
0 2 1
1 0 2
1 2 1
1 1 0
1 1 1
10 2
2 1 2
1 1 1
2 2 0
1 2 2
2 2 1
1 2 0
1 1 0
2 1 0
0 0 2
0 1 1
10 7
0 1 1
2 1 1
0 2 2
1 2 2
0 0 0
0 1 2
2 0 2
1 0 0
2 1 0
0 0 2
10 3
0 2 2
0 0 0
2 0 1
2 2 1
1 2 1
0 0 1
1 0 2
1 1 1
0 2 0
2 1 0
10 8
2 2 0
0 2 2
2 0 1
0 3 1
2 3 0
0 1 3
1 2 1
1 3 0
1 2 0
0 2 0
10 5
1 1 2
0 1 2
1 1 0
2 0 2
0 2 2
0 2 0
1 0 0
1 1 1
1 2 1
1 2 0
10 9
0 2 2
2 0 1
1 1 2
1 0 2
1 1 1
0 1 1
0 0 0
1 0 1
1 2 0
0 0 1
10 4
0 2 0
0 2 1
2 2 2
2 1 2
1 2 2
0 0 2
0 2 2
0 1 1
1 0 2
2 0 2
10 5
0 2 3
3 3 2
0 3 2
1 1 0
1 3 2
1 2 3
2 0 1
0 0 0
1 0 1
0 3 3
10 3
1 2 0
0 0 1
0 2 2
1 0 1
2 0 1
2 0 0
0 1 2
1 1 2
1 0 2
2 2 1
10 2
1 0 1
1 2 0
2 2 2
1 1 0
1 0 0
1 2 1
0 0 2
0 2 2
0 2 0
0 2 1
10 6
0 1 1
3 3 2
1 0 3
1 2 1
3 1 3
2 0 3
0 3 0
0 2 3
2 1 1
1 3 1
10 6
3 1 3
1 3 3
0 1 2
2 3 3
3 2 2
0 3 1
1 2 3
3 0 2
0 1 1
1 0 0
10 5
1 1 0
0 1 1
1 1 2
2 0 0
0 0 0
2 1 0
2 0 1
1 1 1
2 2 2
1 2 0
10 7
2 1 2
1 1 2
2 2 0
2 1 1
0 1 1
2 2 1
0 2 1
0 0 0
1 1 1
1 2 2
10 6
0 0 1
1 1 1
1 0 0
0 2 0
2 0 2
2 2 1
0 0 2
1 2 2
1 2 1
1 2 0
10 8
1 1 0
2 3 1
0 0 0
3 2 0
3 1 0
2 2 0
0 2 2
3 0 3
1 0 1
2 2 1
10 4
1 2 0
0 3 3
0 3 0
2 2 2
3 3 3
3 2 1
3 1 2
1 1 1
3 2 2
3 3 1
10 3
3 3 3
3 1 2
1 2 3
1 1 1
1 3 3
3 3 2
3 3 0
3 1 0
1 1 3
3 2 1
10 8
2 2 2
2 0 1
1 1 0
2 0 0
0 2 0
1 1 2
1 0 2
2 1 1
0 1 0
0 1 1
10 9
3 0 3
3 0 2
1 3 0
2 2 3
0 0 2
1 0 0
1 1 3
2 2 0
3 2 1
2 1 0
10 9
0 3 0
1 2 1
2 3 0
3 2 2
3 2 3
1 1 2
0 0 2
1 1 0
3 0 1
2 2 0
10 8
1 1 1
1 2 2
2 1 2
1 1 2
2 3 3
1 1 3
3 3 1
0 3 3
2 3 0
2 0 1
10 4
0 2 1
2 0 1
1 0 2
0 2 0
1 1 0
0 2 2
2 2 1
0 0 1
2 2 0
2 0 2
10 5
2 2 2
2 2 0
0 2 2
1 0 2
2 0 0
1 0 1
1 0 0
1 2 0
1 2 2
1 2 1
10 3
0 2 1
0 2 0
0 0 1
1 1 1
2 0 2
1 2 2
2 1 0
0 1 1
1 1 0
1 0 1
10 7
0 3 1
3 3 3
1 3 0
1 1 0
1 0 2
2 3 0
0 0 2
1 3 2
0 2 3
2 0 3
10 6
3 1 1
0 2 2
0 0 0
0 3 3
1 1 0
3 2 3
1 1 3
3 1 0
3 0 0
3 3 0
10 7
0 0 0
1 3 3
3 2 1
1 2 2
0 2 2
1 3 2
3 0 1
0 0 1
3 1 0
2 1 1
10 6
0 1 0
2 2 0
2 2 1
1 2 2
1 2 1
2 0 2
2 0 1
1 1 0
2 1 1
0 2 1
10 7
1 1 2
0 0 1
1 0 1
0 0 0
2 1 1
1 0 0
1 1 0
2 0 1
0 0 2
2 2 1
10 2
0 1 0
0 0 1
3 0 1
0 2 2
2 2 2
3 3 0
3 2 2
1 3 3
3 3 3
1 0 0
10 3
2 1 3
0 3 0
3 0 2
2 0 3
3 1 1
3 1 0
2 1 0
0 1 1
3 3 2
3 0 0
10 8
1 2 1
0 1 0
2 0 2
1 0 2
1 1 1
1 2 2
0 0 0
2 1 0
0 2 2
2 1 2
10 4
1 1 1
0 1 1
2 1 1
2 1 2
0 1 2
1 2 2
2 0 1
0 2 0
1 0 1
0 2 1
10 6
2 2 0
1 3 0
1 2 2
3 2 3
3 3 3
3 0 2
2 2 2
3 1 0
2 2 1
1 3 1
10 7
1 2 3
3 0 0
2 1 0
1 2 0
1 0 2
0 3 0
2 1 2
2 2 3
2 1 3
3 2 3
10 6
1 1 2
2 0 2
2 1 0
0 2 2
2 1 1
0 0 0
2 1 2
2 2 0
0 2 0
0 2 1
10 9
3 0 0
2 2 1
1 0 1
2 0 3
1 1 3
0 3 3
2 3 0
0 0 1
2 1 2
2 0 2
10 2
0 1 3
2 0 2
2 2 3
2 0 3
1 3 0
1 1 3
2 3 1
2 3 2
3 1 1
3 0 2
10 2
1 2 1
2 0 1
1 0 0
0 1 0
0 0 0
2 0 0
2 0 2
1 2 0
2 1 2
0 1 1
10 8
3 0 1
0 3 2
0 2 1
0 1 0
3 1 3
2 3 3
2 0 0
2 3 2
2 2 0
2 0 3
10 8
1 0 3
0 0 1
0 0 0
1 3 0
1 2 2
1 0 0
1 1 2
0 2 2
1 2 0
3 2 0
10 8
2 3 1
2 3 3
3 2 3
3 2 1
3 1 3
3 1 2
1 0 1
2 1 2
0 1 2
2 0 0
10 2
0 0 0
2 2 2
1 0 0
2 2 1
2 1 1
2 2 0
1 1 1
0 0 2
2 0 1
0 1 2
10 2
1 1 2
2 1 0
2 0 1
3 0 3
2 1 2
3 2 2
2 0 0
3 3 0
1 1 0
1 0 2
10 7
0 1 2
3 0 0
2 0 3
2 2 2
1 3 0
2 2 1
1 3 2
2 0 1
3 2 2
0 3 3
10 2
0 2 0
1 1 1
2 1 0
1 0 0
2 1 1
2 2 2
0 1 2
2 0 2
2 1 2
0 1 0
10 7
0 2 0
1 2 0
0 0 0
2 0 1
0 1 0
2 1 1
0 2 2
0 2 1
1 0 0
0 1 1
10 8
1 0 2
1 2 2
2 1 0
0 1 0
0 2 2
0 1 1
2 2 1
0 2 1
2 0 0
1 2 0
10 3
0 0 2
3 0 1
2 3 0
2 3 3
0 1 0
1 1 3
0 3 2
1 2 0
3 2 3
3 2 1
10 7
2 2 1
2 1 2
1 1 2
0 2 2
2 1 1
2 1 0
0 0 2
1 2 2
0 1 2
0 0 1
10 2
0 3 2
3 3 0
3 2 1
3 2 0
2 1 2
1 2 3
2 3 0
2 0 1
2 0 3
2 1 0
10 8
2 0 3
1 0 0
0 2 3
2 3 3
1 1 2
3 1 3
3 1 1
1 2 1
0 3 2
3 2 3
10 3
0 2 1
0 2 0
2 0 1
0 0 0
0 0 2
1 0 1
0 1 2
0 2 2
1 1 2
0 0 1
10 8
3 0 1
0 0 3
1 3 0
0 0 1
1 1 0
0 1 0
0 3 1
2 3 2
1 3 3
3 2 1
10 9
2 1 1
3 3 3
0 2 0
3 0 0
0 3 0
2 3 2
0 2 1
1 0 2
2 2 2
1 0 0
10 2
3 1 0
2 0 2
0 3 3
2 0 0
1 2 3
2 2 3
1 1 3
3 2 1
0 3 1
1 0 0
10 9
0 2 2
0 1 1
2 1 1
1 1 1
1 2 2
0 2 1
2 2 2
0 1 2
2 0 0
0 0 1
10 8
0 3 2
2 1 3
2 0 1
3 0 0
1 2 3
2 2 3
1 3 0
2 2 1
3 1 0
3 3 0
10 9
2 1 0
0 1 2
1 2 2
2 3 1
0 0 2
0 2 2
2 1 2
2 1 1
3 0 0
2 3 0
10 8
0 1 0
2 1 1
1 0 2
0 2 0
0 2 2
2 2 2
2 2 1
0 0 2
2 1 0
1 0 1
10 9
1 1 3
2 0 1
3 3 2
0 3 1
2 2 2
1 0 0
0 1 1
3 0 3
1 2 0
3 0 0
10 2
0 2 2
1 2 2
2 0 0
0 0 0
2 1 1
0 1 0
1 0 1
0 2 0
1 0 0
1 2 1
10 4
1 2 2
1 2 1
1 0 2
1 1 0
2 1 1
2 0 2
0 2 0
0 1 1
2 2 1
0 0 0
10 7
2 1 2
1 2 2
1 0 1
2 2 2
1 2 1
2 0 2
0 1 0
0 2 1
1 1 1
0 1 1
10 3
2 1 1
3 3 3
2 0 2
1 1 3
3 1 2
1 0 0
1 0 3
0 0 0
1 2 2
3 3 0
10 8
3 0 2
2 1 1
3 0 3
0 2 0
0 0 2
1 2 2
1 0 0
2 3 2
0 1 3
3 2 3
10 3
2 0 2
1 0 2
1 1 1
2 0 0
2 2 1
0 0 2
0 2 2
0 0 1
2 2 2
2 2 0
10 5
1 0 2
0 2 0
2 0 1
2 1 2
0 0 0
0 0 2
2 2 1
2 0 2
1 2 0
2 1 0
10 9
3 1 1
2 1 2
1 0 3
1 1 0
3 2 0
0 2 0
2 0 3
3 2 2
3 0 1
2 0 2
10 5
0 0 3
0 2 0
1 2 2
1 3 3
2 3 1
0 3 1
0 2 3
3 3 3
2 1 2
0 3 2
10 3
1 0 0
0 0 2
1 1 1
2 2 0
0 0 1
2 1 2
0 2 2
2 0 1
1 2 1
0 2 0
10 7
0 0 2
1 1 1
2 0 1
0 1 0
2 1 1
2 0 2
1 1 2
0 0 0
0 1 2
2 1 0
10 8
3 2 2
0 3 1
2 3 1
0 1 1
1 3 2
1 2 3
1 2 0
0 0 0
2 0 2
0 0 1
10 8
2 3 3
3 1 3
1 2 0
3 2 2
0 3 3
1 3 2
2 0 1
1 0 0
3 3 3
3 2 0
10 5
2 2 1
1 0 2
1 2 1
0 1 0
1 0 0
1 1 2
2 0 1
1 1 1
1 2 0
1 0 1
10 7
3 3 2
3 0 3
2 3 0
3 1 2
0 1 2
3 3 1
2 1 2
1 1 0
3 3 3
0 2 3
10 9
0 2 2
2 2 2
2 2 0
0 0 2
0 1 0
1 1 2
2 1 1
1 0 0
1 0 2
0 0 0
10 9
2 1 0
0 2 0
0 1 0
2 0 2
0 2 2
2 2 1
0 0 1
2 2 2
1 0 1
1 1 1
10 2
1 2 1
1 2 2
0 0 0
2 0 0
0 1 1
2 2 1
1 1 1
1 1 2
1 0 0
1 1 0
10 2
0 1 0
0 2 2
3 3 1
2 2 1
0 0 2
2 2 0
1 2 0
0 3 0
1 1 0
3 0 0
10 2
0 1 1
2 0 0
1 1 1
2 1 2
0 0 2
2 1 0
1 2 2
0 2 2
2 2 1
1 1 2
10 8
2 2 1
0 0 0
0 2 0
0 1 1
1 2 1
1 0 0
2 0 0
0 1 0
2 1 1
0 2 2
10 9
1 3 3
1 3 1
1 2 0
1 1 0
3 1 3
2 2 2
3 2 1
0 2 0
1 2 1
3 1 0
10 6
3 3 3
1 2 0
3 0 2
0 3 1
2 3 2
3 1 2
1 0 0
1 3 3
2 2 1
1 3 1
10 7
0 2 1
3 2 1
2 2 0
3 3 1
1 3 3
0 3 0
0 3 1
2 0 0
2 1 0
3 2 3
10 7
0 3 0
1 2 1
1 2 0
2 2 2
0 0 0
3 0 1
0 2 3
1 1 1
2 3 1
1 0 0
10 7
1 1 1
1 0 0
2 0 1
0 2 0
1 2 1
0 2 1
0 0 1
0 0 0
2 0 0
0 2 2
10 7
0 3 1
0 3 2
1 1 0
0 0 2
2 0 1
1 3 1
2 1 3
3 1 2
0 0 1
0 1 1
10 9
0 1 0
0 2 0
2 1 1
1 3 1
1 3 2
3 3 3
2 1 2
0 0 1
2 1 0
1 0 0
10 2
1 3 0
3 2 0
2 2 1
3 0 3
3 0 0
0 3 3
3 1 3
3 1 2
0 0 3
3 0 1
10 7
2 1 1
0 1 0
0 0 0
1 1 1
0 1 1
1 2 0
2 0 2
0 0 2
1 2 1
2 0 0
10 8
2 1 1
1 3 0
2 1 3
1 1 1
0 2 2
3 1 1
1 2 2
0 2 1
0 3 2
3 3 2
10 5
0 1 2
1 1 0
0 2 2
1 0 0
1 0 1
1 2 2
0 2 0
2 2 1
1 2 0
0 1 1
10 3
2 2 0
2 1 1
0 0 0
2 0 0
1 2 0
2 2 1
0 2 1
0 0 1
1 0 2
1 2 2
10 3
1 2 0
0 1 0
0 1 2
2 1 2
2 0 1
1 0 2
0 2 2
2 1 0
1 2 2
1 1 2
10 7
0 3 2
3 1 3
1 2 1
2 0 2
0 1 2
2 2 2
1 2 0
0 0 1
2 0 3
1 3 0
10 6
0 2 2
0 2 0
2 2 0
0 0 2
0 1 0
1 1 2
1 2 0
1 2 2
2 2 1
0 0 1
10 3
2 3 3
3 2 2
2 2 3
0 1 3
2 0 2
0 1 2
0 2 1
1 3 2
0 3 1
0 0 3
10 3
2 0 0
1 2 0
1 0 1
1 0 2
2 1 2
2 0 1
1 0 0
2 1 1
0 2 0
0 1 2
10 3
0 1 0
3 1 1
2 2 3
1 2 0
0 0 2
0 0 1
1 2 2
0 2 1
3 0 1
0 0 0
10 8
2 2 1
2 0 1
2 0 0
1 1 0
1 2 1
0 2 0
2 2 2
2 1 1
2 1 0
1 1 2
10 2
0 2 2
1 0 2
2 2 0
0 0 0
2 0 0
1 2 2
1 1 1
2 1 1
2 0 2
0 1 0
10 4
1 1 0
3 2 0
3 3 2
1 3 2
3 0 0
1 2 2
0 3 2
1 2 3
3 0 2
2 3 3
10 7
1 0 1
3 0 1
1 3 1
0 0 0
1 2 1
3 0 2
3 2 2
0 1 3
2 2 0
1 2 3
10 4
2 1 1
1 1 2
0 1 0
0 1 1
1 2 0
1 0 0
2 0 2
1 1 1
2 2 0
0 2 0
10 5
0 3 0
1 2 0
3 2 2
2 3 0
3 0 2
1 2 3
2 3 1
0 0 1
3 1 1
2 2 2
10 7
2 2 0
2 2 2
1 0 1
1 2 1
2 0 2
1 1 0
2 2 1
0 2 0
1 1 1
0 1 2
10 9
0 0 0
1 2 0
0 1 1
0 1 2
2 2 2
2 2 1
1 1 1
2 1 1
1 2 2
0 2 1
10 5
1 0 3
1 3 0
1 1 1
2 3 0
2 3 1
3 0 0
1 1 0
1 2 0
3 1 2
1 3 3
10 3
3 1 3
0 0 2
2 0 3
0 0 3
3 3 2
0 2 2
1 0 1
1 2 2
1 3 1
2 1 2
10 7
1 2 2
0 2 3
1 2 0
1 3 2
2 1 0
2 3 3
2 1 3
3 0 2
3 1 1
0 3 0
10 3
1 3 2
1 1 0
1 1 2
0 1 3
2 2 0
2 2 2
0 1 0
0 2 2
3 0 0
0 2 3
10 4
0 0 1
1 0 2
0 2 2
1 1 2
0 1 0
0 1 1
2 1 1
2 2 1
1 0 0
1 2 2
10 6
0 2 0
2 1 2
0 0 2
2 2 2
2 1 0
2 2 0
1 0 1
1 2 2
0 1 2
0 0 1
10 3
2 0 2
3 0 0
3 3 1
2 1 2
1 2 2
1 0 1
2 3 0
2 0 1
3 2 1
1 0 3
10 3
1 0 1
0 2 2
2 1 2
0 2 0
1 1 2
2 2 0
1 1 0
0 0 2
1 0 2
1 2 2
10 9
2 2 2
0 2 0
0 1 0
0 1 1
1 0 2
0 2 2
2 1 1
1 2 0
2 0 0
1 0 1
10 6
2 0 0
0 1 0
2 1 2
0 0 2
0 0 1
2 2 1
1 2 0
2 1 1
1 2 2
1 1 2
10 9
0 2 2
2 0 1
0 1 0
0 1 1
1 0 0
2 0 2
2 2 2
1 1 0
2 2 1
0 0 1
10 4
1 2 0
0 2 0
0 1 1
2 2 2
1 2 1
0 1 2
0 1 0
1 1 2
1 1 1
2 0 2
10 3
0 2 0
2 1 3
0 0 1
2 2 3
3 1 1
1 0 2
2 2 1
3 0 0
0 2 3
3 3 3
10 8
3 1 3
1 3 2
3 0 0
3 3 3
1 2 0
0 3 0
3 2 3
2 3 0
3 2 1
2 2 0
10 5
2 3 0
1 3 2
1 1 0
1 0 2
3 1 1
0 1 0
2 2 3
0 3 3
3 0 1
1 3 1
10 4
1 1 1
1 1 2
0 0 2
1 0 2
0 1 2
2 0 2
1 2 1
1 1 0
0 2 1
1 2 2
10 2
2 2 0
0 2 1
2 2 1
2 1 0
1 2 2
0 0 0
2 0 0
2 1 1
0 0 1
1 0 0
10 3
0 2 0
2 1 2
1 1 2
2 0 2
0 0 1
0 0 0
2 1 0
1 2 2
2 2 2
2 1 1
10 8
2 0 0
0 1 0
1 2 0
2 2 1
0 0 0
1 2 2
0 2 1
2 1 1
1 2 1
2 2 2
10 3
2 0 1
2 2 1
0 2 2
0 0 0
1 1 2
0 1 0
2 1 2
0 0 2
0 2 1
0 1 1
10 2
0 2 2
1 1 2
0 2 1
1 0 1
0 0 0
2 0 0
0 1 0
0 0 2
2 1 2
1 2 1
10 8
1 1 2
1 0 2
0 1 0
2 2 0
2 0 0
1 2 2
2 1 0
2 2 1
0 2 0
0 0 1
10 2
2 1 1
0 0 1
2 1 2
0 2 2
0 0 0
0 0 2
2 0 1
2 0 2
0 1 2
2 2 1
10 7
1 1 1
0 0 3
3 0 1
1 2 2
2 0 2
2 2 1
2 3 1
1 3 2
3 3 3
3 3 0
10 2
1 0 0
1 0 1
1 0 2
3 0 2
0 0 1
2 0 1
2 0 3
1 3 2
0 1 3
0 3 3
10 2
3 3 1
2 0 3
0 1 3
3 3 2
0 1 1
3 1 1
1 3 0
2 3 1
1 2 2
1 1 1
10 2
0 1 1
1 1 1
2 1 1
2 2 1
0 1 2
1 2 0
2 2 2
2 2 0
0 0 0
1 2 1
10 6
0 2 2
2 2 1
0 0 3
0 2 3
2 2 3
1 2 3
3 2 2
3 1 3
1 0 2
0 3 1
10 9
1 2 2
0 1 1
1 0 0
2 2 1
0 1 0
0 0 1
0 2 0
0 1 2
2 0 2
2 2 2
10 4
2 2 1
1 2 1
1 2 2
0 2 1
2 0 0
1 0 2
1 0 0
2 1 0
2 1 1
1 1 2
10 5
1 1 0
1 0 1
1 2 2
1 1 2
0 2 2
2 1 0
1 2 1
2 2 2
0 2 0
0 0 1
10 5
2 0 1
2 3 1
1 2 0
1 0 3
1 2 1
1 0 0
0 2 3
0 2 1
1 3 0
1 2 2
10 5
1 2 1
0 0 0
0 0 3
3 1 0
2 1 3
0 0 2
0 1 1
2 3 0
2 1 2
2 0 3
10 8
1 2 1
1 3 0
0 1 3
0 0 0
1 2 2
0 2 2
2 3 2
2 0 1
1 3 3
3 0 2
10 6
3 3 0
0 0 3
0 2 1
3 1 3
1 0 2
0 3 3
2 2 1
0 0 2
3 2 2
0 1 2
10 2
2 1 1
1 3 2
1 3 0
2 2 3
3 2 0
3 0 2
1 2 3
3 3 3
2 0 0
2 3 2
10 2
2 2 2
1 0 3
0 1 2
3 3 1
1 3 3
3 1 0
0 1 1
3 2 3
2 1 1
2 2 0
10 6
1 3 0
3 2 3
1 0 3
2 3 0
3 1 3
0 1 3
1 2 2
3 1 0
3 1 2
2 1 0
10 9
1 3 2
3 0 1
0 1 0
1 0 2
0 0 2
0 3 0
3 2 3
1 3 0
3 3 0
3 3 3
10 3
0 3 3
3 2 1
2 3 2
2 0 0
3 3 1
2 0 3
2 0 1
2 1 0
1 1 1
1 2 1
10 7
0 1 2
0 1 1
2 0 0
0 2 2
2 0 2
2 1 0
1 1 0
2 1 2
1 2 2
1 2 0
10 2
1 0 0
1 2 0
2 1 0
0 2 2
0 0 1
2 0 1
0 2 0
1 1 0
0 2 1
0 1 2
10 9
0 2 0
1 2 1
1 2 2
2 2 1
2 2 2
0 0 0
0 1 2
1 1 0
1 1 1
2 0 0
10 8
0 3 1
2 1 3
2 3 2
0 0 0
3 3 3
3 2 1
2 0 0
1 2 2
2 2 3
1 3 3
10 7
3 2 1
3 3 2
0 2 2
0 2 1
2 0 2
3 2 3
3 0 1
3 3 0
1 1 2
0 0 0
10 9
2 2 0
0 0 3
2 2 1
2 1 2
0 3 1
2 0 2
1 2 3
3 2 1
0 2 1
0 1 2
10 5
3 1 2
2 0 3
1 1 2
2 3 0
2 2 2
1 3 1
0 2 0
1 0 2
2 2 0
0 0 3
10 4
1 1 1
0 0 2
1 2 0
2 0 1
0 1 1
2 1 0
2 2 1
2 2 0
0 2 0
1 2 1
10 5
0 2 0
2 3 1
1 0 1
1 3 1
2 0 2
2 3 2
2 0 0
3 0 1
0 1 0
1 0 3
10 6
2 0 0
2 1 1
0 2 1
2 2 2
1 2 2
1 0 1
0 0 0
2 0 2
1 0 2
0 2 2
10 4
1 3 1
0 1 3
1 0 0
0 2 3
1 0 1
1 3 3
2 1 0
3 0 1
3 1 3
2 3 1
10 8
2 1 0
1 1 1
1 0 0
0 0 2
0 2 1
1 0 2
0 2 2
0 0 0
2 2 0
0 2 0
10 6
1 1 0
0 0 2
0 0 0
2 1 2
3 1 0
0 2 1
1 2 1
2 3 0
0 0 3
0 1 2
10 5
0 2 0
0 1 1
2 2 1
1 2 0
0 2 1
1 2 2
0 0 0
1 0 0
1 1 0
2 2 2
10 5
2 3 1
3 1 3
1 2 2
2 3 3
1 2 1
3 1 2
0 1 3
1 3 3
1 0 0
2 1 3
10 5
0 0 3
0 0 0
0 2 3
2 0 0
3 1 3
1 0 3
2 2 2
1 2 3
3 0 2
0 0 2
10 6
1 3 0
1 0 3
3 1 0
1 0 2
0 3 2
2 1 1
0 3 3
0 0 3
2 2 2
3 3 2
10 2
0 0 2
2 3 3
0 0 3
3 2 3
2 1 0
0 2 0
0 2 1
1 2 3
3 1 1
2 3 1
10 7
1 1 2
0 2 0
0 0 2
0 0 1
2 2 0
0 1 2
2 2 2
1 0 2
0 1 1
1 2 1
10 7
0 0 1
1 2 2
0 1 0
0 1 2
0 0 0
0 0 2
1 2 0
2 0 0
0 2 0
1 1 0
10 6
1 1 0
1 2 0
0 1 0
0 0 1
1 1 2
1 2 2
1 0 1
2 1 2
2 2 2
2 2 0
10 7
0 0 1
2 2 0
2 2 3
0 1 1
3 3 2
1 3 2
1 1 3
3 0 3
1 1 1
2 0 0
10 6
3 0 0
1 0 2
1 3 2
2 1 2
1 3 3
1 2 3
2 0 0
1 1 3
1 0 1
2 3 3
10 4
1 2 0
0 0 2
2 0 1
1 2 1
1 1 1
2 2 0
0 2 1
0 2 2
0 1 1
2 1 1
10 3
0 1 0
2 1 0
1 2 0
0 0 0
1 0 2
0 1 1
2 1 1
0 2 0
2 2 1
0 1 2
10 2
0 3 3
2 2 1
3 3 2
0 1 2
0 0 1
3 2 2
3 0 2
3 1 1
2 3 1
2 1 1
10 7
2 1 0
2 1 1
0 2 0
1 0 0
1 1 1
1 0 2
1 0 1
0 1 0
2 2 1
2 2 0
10 9
2 0 0
2 0 2
0 1 2
0 0 1
1 2 0
1 1 1
1 0 1
2 2 2
1 1 0
1 1 2
10 3
1 0 2
3 0 2
2 0 2
1 3 2
3 0 3
2 2 0
3 1 3
1 0 3
2 0 1
0 2 0
10 6
0 2 0
0 0 0
1 1 0
1 2 1
2 1 2
0 1 3
3 0 2
2 1 1
1 2 0
1 1 1
10 8
1 0 0
1 0 3
2 3 3
2 2 2
3 0 0
1 2 1
3 0 1
0 2 2
1 3 2
1 2 0
10 8
2 3 1
3 1 0
2 1 0
1 1 3
0 1 3
0 0 3
3 3 1
2 2 2
0 1 1
3 1 1
10 6
2 0 0
0 0 2
0 0 1
2 2 0
2 3 0
0 2 2
3 2 1
1 3 1
3 3 0
2 2 3
10 5
0 0 0
3 2 1
0 3 3
0 1 0
1 1 0
0 1 2
0 0 2
2 0 0
0 2 3
3 0 1
10 3
2 0 3
2 2 0
0 3 3
0 0 2
1 1 2
3 1 2
1 3 2
2 2 2
1 2 0
3 0 1
10 7
1 0 0
0 2 0
2 0 2
1 0 2
1 0 1
2 2 0
0 2 2
2 1 2
0 1 2
1 2 0
10 4
3 3 3
1 0 3
1 1 2
0 3 3
2 1 0
2 3 1
2 2 1
0 2 3
3 3 0
0 0 1
10 5
0 0 0
2 2 0
0 1 0
1 1 2
2 2 1
1 2 0
2 0 0
0 2 1
0 0 2
2 0 2
10 3
1 1 2
0 2 0
1 0 0
1 1 0
2 2 2
0 1 1
0 2 2
1 0 2
0 0 0
1 2 0
10 4
2 2 1
3 2 1
1 1 3
3 1 2
0 0 1
2 3 2
2 2 2
0 3 1
2 1 0
2 0 3
10 9
3 1 0
3 2 1
2 2 2
3 2 3
3 3 0
1 2 0
0 3 0
0 3 3
3 3 3
1 0 0
10 7
1 1 2
2 2 2
2 0 2
2 1 0
0 2 2
0 1 2
1 1 0
0 1 0
0 2 0
2 2 0
10 9
2 2 3
1 0 3
3 0 0
2 2 2
2 1 1
1 3 1
0 3 1
2 0 3
1 0 0
3 2 1
10 3
3 2 2
2 2 3
1 0 3
0 1 0
1 3 2
3 1 1
2 1 2
3 0 2
1 2 1
2 0 0
10 2
0 3 2
3 1 3
0 3 1
2 3 2
2 3 1
1 2 0
0 1 1
2 3 3
1 3 3
3 3 1
10 5
2 2 2
2 1 0
0 2 0
2 2 1
2 0 0
1 1 0
0 0 0
0 1 0
2 2 0
2 0 2
10 4
0 2 3
0 3 1
0 1 1
2 1 2
3 0 1
3 2 0
2 2 1
3 3 3
2 3 0
3 1 0
10 9
0 1 0
2 2 0
1 1 2
0 1 2
1 0 1
0 0 0
0 0 1
2 0 1
2 1 0
2 0 2
10 5
0 0 0
1 0 0
1 0 1
2 1 2
2 0 0
1 0 2
2 2 1
1 2 1
0 1 0
0 1 2
10 9
3 0 2
0 3 3
0 1 2
2 0 2
0 2 2
2 3 3
3 1 2
2 2 1
2 1 1
3 0 3
10 6
2 0 3
2 2 1
2 3 1
1 2 2
0 1 1
2 1 2
0 0 2
3 2 1
0 3 0
3 1 3
10 9
0 1 1
1 2 2
1 1 2
1 0 2
2 2 0
2 0 1
2 0 2
2 1 0
2 1 2
1 0 0
10 5
1 1 1
2 1 0
2 1 2
0 1 0
1 2 0
0 2 2
0 1 2
1 1 0
2 0 1
2 2 1
10 2
3 3 2
1 1 2
3 3 1
3 0 0
0 2 1
2 3 3
3 0 1
1 0 0
2 2 3
2 1 1
10 7
1 0 1
1 0 2
0 1 1
2 1 0
0 0 2
0 0 1
2 0 2
0 2 1
0 2 2
2 0 1
10 9
1 2 1
2 2 2
0 1 1
2 2 1
2 1 0
0 2 0
1 2 2
0 2 1
1 1 0
1 0 1
10 7
0 1 3
0 0 0
2 2 2
3 2 2
3 3 3
3 2 3
2 0 3
0 3 1
1 0 0
3 0 0
10 9
0 1 0
2 2 2
0 1 1
2 2 0
1 1 1
0 2 2
0 2 0
1 0 2
2 0 1
2 1 0
10 7
0 2 0
1 0 2
2 1 1
0 2 2
1 0 1
0 1 1
0 0 2
2 1 2
2 1 0
2 2 0
10 9
2 0 0
0 1 2
1 1 1
2 2 2
2 2 1
2 1 1
0 2 2
2 2 0
2 0 1
0 0 0
10 6
3 1 0
1 1 2
2 1 2
0 1 0
3 0 2
1 3 2
3 3 3
2 0 3
1 0 0
0 3 3
10 7
1 0 3
2 3 0
0 3 1
0 2 0
0 3 3
2 1 0
1 3 3
1 1 1
3 3 3
3 3 0
10 5
3 0 0
1 2 2
2 0 2
3 1 2
2 1 2
0 1 0
2 1 3
1 1 2
2 3 0
2 3 1
10 9
1 0 3
0 2 1
1 3 0
2 0 0
1 3 2
0 3 1
1 1 1
3 2 0
0 2 3
0 1 1
10 9
1 1 3
0 1 3
1 2 1
0 0 1
3 2 1
0 1 1
0 1 2
3 1 0
1 0 0
2 0 0
10 6
2 1 2
1 1 1
0 1 2
0 0 1
1 2 0
1 0 2
1 0 0
0 2 0
2 0 1
2 1 1
10 5
1 0 2
0 1 2
1 0 1
0 2 1
2 0 2
2 1 1
1 1 1
2 1 0
1 2 2
1 2 1
10 6
0 3 1
1 1 0
3 3 1
0 0 2
2 2 0
0 2 0
1 0 2
1 2 1
1 1 3
2 2 3
10 5
1 2 2
0 0 1
2 0 0
1 1 0
0 0 2
1 2 1
0 0 0
2 1 1
1 0 1
0 1 2
10 5
1 0 2
0 1 2
1 1 1
2 0 2
2 1 1
0 0 0
0 2 2
0 0 2
1 2 1
1 0 0
10 7
1 0 3
1 2 2
0 1 3
3 1 3
3 2 0
2 1 3
1 0 2
3 0 3
1 2 0
1 0 1
10 9
1 0 0
0 2 2
1 0 1
2 0 1
0 0 0
1 1 0
2 1 0
0 2 0
1 0 2
2 2 2
10 6
1 1 3
3 2 0
1 1 0
0 1 3
2 2 1
2 1 0
1 2 0
1 1 2
0 0 1
2 1 3
10 6
1 0 0
1 2 0
1 2 2
2 0 1
0 2 1
2 2 2
0 1 0
0 0 0
0 1 2
2 1 2
10 3
3 1 2
1 2 1
2 0 1
0 3 2
2 2 1
1 0 1
1 2 3
0 0 0
2 1 2
1 1 0
10 5
1 1 0
2 1 0
0 0 1
0 2 1
2 0 0
1 2 2
2 2 2
0 1 0
1 0 1
0 1 1
10 2
2 0 0
3 1 3
1 1 3
0 3 0
1 3 1
1 1 1
0 1 1
2 0 3
3 0 3
3 1 1
10 4
2 2 2
2 1 0
1 2 0
1 1 0
0 1 2
2 2 0
1 1 1
2 1 2
0 0 0
1 2 2
10 7
0 1 1
0 1 2
2 0 0
2 2 0
0 0 2
2 0 1
1 2 1
0 1 0
1 1 1
2 1 1
10 9
2 0 2
2 2 2
2 2 0
0 2 1
2 2 1
2 1 0
1 0 1
0 0 0
1 1 0
0 0 2
10 2
2 1 0
0 0 0
2 0 1
0 2 2
2 2 1
1 0 2
2 0 2
2 1 1
1 0 0
1 1 1
10 8
1 2 0
2 0 1
1 3 1
3 0 2
3 2 0
0 3 1
2 1 3
2 2 0
0 1 1
1 3 0
10 4
2 1 1
2 2 1
0 1 2
2 1 2
0 1 0
2 0 1
1 0 0
0 0 1
1 1 1
0 2 0
10 9
1 2 0
2 1 0
1 1 1
0 1 0
2 2 0
0 1 2
1 1 0
0 0 0
1 1 2
2 2 1
10 3
0 0 1
0 1 2
0 1 1
2 0 2
0 0 2
1 0 2
2 2 1
2 1 1
2 0 1
2 2 0
10 8
1 1 2
0 2 2
2 1 0
2 2 0
1 1 0
0 1 2
2 1 1
2 0 1
1 2 1
0 1 1
10 2
2 0 1
2 2 2
0 2 0
0 1 1
2 2 0
2 1 2
0 0 0
1 2 2
1 1 1
1 1 0
10 2
0 2 0
1 3 0
3 2 1
0 0 1
0 0 3
3 3 1
1 2 3
3 2 0
1 0 1
2 0 2
10 7
2 0 1
3 0 3
2 2 2
0 0 3
0 3 3
0 2 2
3 2 2
1 1 1
2 2 0
0 0 2
10 7
0 0 0
0 2 0
1 2 2
2 0 1
1 0 1
1 2 1
0 2 2
1 0 0
2 1 2
2 1 1
10 5
0 1 0
2 0 0
1 0 2
0 0 0
0 2 1
1 1 0
1 2 1
1 1 1
1 2 2
1 2 0
10 4
1 0 1
0 0 0
1 0 0
1 1 1
2 0 1
0 1 1
2 2 2
0 2 1
1 2 1
2 1 0
10 4
1 0 0
1 2 1
0 2 0
2 0 0
2 2 2
1 1 0
1 0 2
0 2 2
2 2 0
0 1 2
10 6
1 2 2
2 1 0
1 1 1
0 1 0
2 0 0
1 0 1
1 1 0
1 2 0
2 0 1
2 2 0
10 8
2 2 0
2 0 0
2 1 1
1 0 1
0 1 0
1 2 0
0 2 0
0 0 0
1 0 0
0 1 1
10 7
0 0 0
2 1 0
1 2 2
2 2 2
0 2 2
0 0 1
0 1 1
2 2 1
1 1 0
2 0 1
10 4
3 0 1
3 2 0
0 2 0
1 3 0
0 1 0
2 3 2
1 0 1
3 2 1
0 1 2
2 2 3
10 9
1 2 2
1 0 1
2 0 0
1 2 1
2 1 0
2 0 1
2 2 2
2 2 0
1 0 0
0 0 1
10 7
0 2 1
2 1 2
1 0 2
0 0 0
2 2 1
2 1 1
1 2 2
2 2 0
2 0 2
1 1 1
10 6
2 3 3
2 1 3
1 1 2
2 2 0
2 0 2
3 3 2
3 2 0
2 3 1
1 2 1
3 2 3
10 9
1 2 2
2 2 0
2 0 0
2 1 2
2 0 2
1 2 0
0 2 2
2 2 2
0 1 1
2 1 0
10 2
3 2 2
1 2 2
2 3 1
1 1 3
0 2 2
3 2 0
3 3 0
3 1 0
2 2 0
3 0 3
10 8
1 1 1
1 0 2
0 2 2
2 2 1
0 0 1
0 0 0
0 2 1
0 1 0
2 2 2
2 2 0
10 5
1 3 2
2 2 3
0 2 1
3 0 3
3 3 3
1 0 3
0 3 0
0 3 3
2 0 3
1 1 2
10 2
1 0 2
0 1 0
0 0 2
2 0 2
2 1 2
1 2 2
0 0 0
1 0 0
0 1 2
2 2 2
10 4
0 0 2
2 2 3
2 2 0
1 1 3
3 3 1
1 1 2
0 1 0
1 3 3
3 2 3
2 0 3
10 5
3 3 2
2 1 2
1 3 3
2 1 0
0 0 3
1 3 1
3 1 2
0 1 0
2 2 2
0 1 1
10 5
0 1 1
0 0 2
1 1 2
0 1 2
0 2 2
1 2 0
1 0 0
2 0 2
1 2 2
0 1 0
10 7
0 2 1
1 1 2
2 2 1
2 1 0
0 1 1
2 0 2
0 2 0
0 0 1
1 2 1
2 1 1
10 6
1 0 0
0 0 2
1 0 2
2 1 2
1 2 0
0 2 0
0 2 1
1 0 1
1 1 1
0 1 2
10 8
0 2 1
1 2 2
1 2 1
2 1 0
2 2 2
0 1 0
0 1 1
1 2 0
2 0 1
1 1 1
10 4
1 1 0
2 0 0
0 1 2
1 1 2
0 2 0
2 2 2
0 0 0
0 2 1
1 0 1
2 1 2
10 8
1 1 0
0 0 0
2 0 1
2 2 2
2 2 1
2 1 0
1 0 0
0 1 1
1 1 2
2 0 0
10 3
0 1 2
0 2 2
1 1 1
3 0 1
2 0 1
3 2 1
0 0 1
1 3 1
1 1 2
2 2 0
10 2
1 2 1
2 2 2
1 2 0
2 1 1
2 0 2
0 2 1
0 1 0
1 0 2
2 0 1
2 2 0
10 5
2 1 2
1 2 0
2 1 1
1 0 2
1 1 0
0 1 1
2 1 0
1 0 1
0 0 0
1 0 0
10 2
2 2 0
0 0 0
0 2 1
1 1 2
0 1 1
2 2 2
2 0 2
2 0 0
2 1 2
1 0 0
10 4
1 2 2
2 2 3
1 2 1
0 3 1
3 2 0
1 3 0
0 2 3
2 1 0
3 2 1
3 3 2
10 9
0 2 2
1 0 2
1 1 2
2 2 0
0 1 1
2 1 0
1 0 0
0 2 0
2 0 2
1 0 1
10 7
0 0 3
0 3 0
2 2 2
3 3 2
3 2 3
2 1 2
1 3 2
2 3 3
0 1 3
3 2 1
10 4
0 0 0
2 0 0
2 2 1
1 0 2
1 2 0
0 0 1
1 1 2
0 2 0
1 0 0
2 2 0
10 2
3 0 2
1 1 2
1 3 1
2 1 1
2 1 0
0 3 3
2 3 0
1 2 1
1 1 0
3 1 3
10 6
0 2 0
0 2 3
1 2 1
1 3 0
3 3 2
0 3 2
1 3 2
3 1 3
1 2 2
2 1 1
10 7
0 0 0
1 2 1
1 2 2
2 0 0
0 1 1
1 1 2
0 0 1
2 1 1
1 0 2
2 2 0
10 4
2 0 2
0 0 1
2 2 1
0 2 1
0 2 2
0 0 2
1 1 0
1 1 1
3 2 1
2 0 3
10 3
0 1 0
2 2 2
0 1 2
0 1 1
1 0 2
1 2 0
2 0 0
0 2 1
2 0 1
2 1 1
10 3
1 3 2
3 2 3
0 2 0
3 2 0
2 0 2
1 0 3
2 3 0
1 1 2
1 2 2
3 0 3
10 5
1 1 2
0 3 3
2 3 2
1 2 3
3 3 2
1 3 0
0 0 3
0 0 0
1 3 2
0 3 2
10 7
1 1 0
0 0 2
2 0 2
1 2 1
0 0 0
1 0 1
2 1 1
0 0 1
0 1 0
0 2 0
10 7
0 2 1
0 0 0
0 0 1
1 1 0
1 0 2
0 1 0
2 0 2
1 1 2
2 1 2
1 2 2
10 6
3 3 3
3 3 1
1 2 3
2 1 1
0 1 0
1 1 0
0 1 1
3 0 1
0 3 3
2 2 1
10 8
1 2 2
2 0 0
2 2 2
0 0 2
1 0 1
2 2 0
1 2 1
2 1 2
1 2 0
0 2 1
10 9
0 2 2
1 1 1
0 0 2
2 2 1
1 0 2
2 2 2
0 1 0
0 2 1
1 0 1
0 0 0
10 9
1 0 2
2 2 0
0 1 1
0 1 0
2 0 0
2 2 1
1 2 0
0 0 2
1 2 2
1 0 1
10 8
2 1 2
2 2 1
2 2 0
2 2 2
0 0 0
2 1 0
0 1 1
0 0 1
1 0 0
1 2 2
10 8
0 3 3
3 1 3
3 2 1
2 2 1
0 2 0
2 1 2
2 0 3
1 3 1
0 3 2
2 2 3
10 2
2 1 3
1 2 3
2 0 0
2 0 3
3 3 2
1 3 0
2 0 2
3 1 3
0 3 0
2 3 2
10 3
1 0 0
0 2 0
0 2 3
2 3 0
2 1 1
2 3 1
2 2 3
1 0 1
2 2 2
2 0 1
10 3
2 0 0
2 0 1
1 0 2
0 0 2
1 2 1
1 2 2
1 0 0
0 0 0
0 1 1
2 1 0
10 8
2 3 1
0 2 3
3 1 3
3 0 1
0 2 1
1 3 0
2 3 0
2 2 1
1 2 1
2 0 3
10 8
1 2 1
2 1 0
2 1 1
2 2 0
1 1 1
2 2 2
0 1 1
0 2 2
0 1 0
0 0 1
10 6
2 2 0
1 1 2
1 1 1
1 1 0
2 2 2
2 1 1
1 0 2
0 1 1
2 1 2
0 2 1
10 4
2 0 0
1 0 1
1 2 1
2 2 2
1 2 2
2 2 1
2 1 2
0 0 1
0 2 2
0 2 0
10 5
2 0 0
2 2 1
0 1 0
1 1 0
0 1 2
2 1 0
1 2 1
1 0 2
0 2 1
2 1 1
10 3
1 0 1
0 0 2
0 1 0
0 2 2
1 2 0
2 2 0
2 1 2
2 2 2
0 2 1
2 0 0
10 4
1 2 1
0 2 1
1 0 0
2 2 2
1 2 0
1 0 1
0 1 1
2 0 0
1 0 2
0 0 0
10 6
1 0 0
2 3 3
3 1 3
2 3 0
2 0 0
3 2 1
0 3 2
1 2 2
2 1 2
1 2 3
10 2
1 2 1
2 1 1
1 0 0
0 2 1
2 1 2
0 1 2
0 0 0
2 2 2
2 0 1
1 1 2
10 5
3 2 2
0 2 0
1 1 0
3 1 0
0 1 2
2 1 2
0 2 1
3 1 1
3 3 1
1 3 1
10 8
0 1 0
3 2 1
1 3 2
1 2 2
3 1 2
3 2 3
2 3 2
2 2 0
2 0 2
3 0 1
10 9
2 2 2
1 1 1
1 2 0
1 0 2
1 0 1
2 1 0
0 1 2
2 0 2
2 1 2
1 1 0
10 9
2 0 0
0 3 1
2 1 1
3 2 1
1 0 1
1 3 1
1 2 1
0 0 2
2 1 3
0 2 3
10 9
0 0 2
2 1 0
0 1 0
0 1 2
2 0 1
2 0 2
1 0 2
0 1 1
0 0 0
1 1 0
10 6
3 3 2
2 2 0
3 2 3
0 3 0
1 1 0
2 1 2
2 1 3
0 0 0
0 1 3
2 1 1
10 6
1 0 2
0 1 2
0 0 2
0 2 0
1 0 0
2 2 2
1 1 1
0 0 1
2 0 0
2 1 0
10 9
0 1 2
2 0 0
2 1 1
0 2 0
1 0 1
2 2 1
2 2 2
1 1 2
0 0 0
1 1 1
10 3
0 0 0
2 1 0
2 1 1
1 0 0
0 2 1
2 2 1
2 2 2
0 1 2
1 2 1
1 2 2
10 8
0 2 2
2 1 0
0 0 2
0 1 1
2 1 1
0 2 1
2 2 0
0 2 0
0 0 1
2 1 2
10 6
2 3 2
1 0 2
2 0 2
0 1 0
1 1 3
0 3 0
3 2 3
0 0 2
1 0 1
3 0 0
10 3
0 0 2
2 2 2
0 0 0
2 1 1
1 1 0
2 1 2
2 2 0
0 2 1
0 1 1
0 1 0
10 2
0 0 2
2 2 3
2 3 0
3 1 1
0 2 0
1 0 2
1 1 3
1 2 2
2 2 1
2 1 3
10 6
0 0 2
0 2 0
0 2 1
0 2 2
2 2 0
1 1 1
0 1 2
0 0 1
2 2 2
2 1 2
10 5
2 3 1
0 2 1
0 3 2
2 3 3
3 0 1
1 3 1
3 3 2
1 2 1
3 1 3
0 1 3
10 3
2 2 3
3 0 0
3 3 1
3 1 0
1 0 1
0 0 0
2 1 3
3 1 3
1 2 1
3 2 0
10 5
3 0 2
3 0 0
1 1 0
3 1 2
0 2 2
3 3 3
1 3 3
1 3 2
1 0 0
0 1 1
10 8
2 1 1
1 2 0
0 1 2
2 0 0
1 0 2
1 0 0
1 1 0
0 1 1
0 0 2
2 2 0
10 3
2 0 2
1 2 0
0 0 1
1 2 1
1 0 2
0 1 2
1 0 0
2 2 0
1 1 2
2 0 1
10 9
0 0 2
1 1 0
1 2 0
0 1 0
1 2 2
1 2 1
2 0 0
0 0 1
1 0 1
2 1 2
10 2
2 1 3
3 3 3
1 2 2
1 0 0
3 1 3
3 0 1
0 2 2
0 3 3
2 2 0
1 0 3
10 2
1 2 1
3 2 2
1 3 2
2 2 1
2 1 3
0 0 2
2 1 2
1 0 0
2 1 0
0 3 0
10 2
2 2 2
0 1 0
0 0 1
1 0 1
1 1 1
1 0 0
2 0 1
2 0 0
1 1 2
2 1 0
10 8
1 1 1
1 0 0
0 1 2
1 2 1
1 1 2
2 1 1
0 1 1
1 2 2
0 2 0
0 0 0
10 7
1 0 0
0 2 0
1 0 2
0 0 0
0 2 1
2 2 0
2 2 1
1 2 1
2 0 2
1 1 0
10 5
0 2 0
3 1 3
1 0 1
2 0 3
3 1 0
0 3 3
3 2 3
3 2 0
2 1 1
1 2 3
10 8
0 0 2
2 0 2
1 0 1
0 1 1
1 2 1
1 0 0
1 1 0
0 0 0
0 1 0
1 0 2
10 2
1 1 2
0 0 0
0 2 1
2 0 2
0 2 2
2 0 1
2 2 2
1 0 2
2 1 0
1 1 1
10 7
1 1 1
1 1 0
0 0 0
2 0 0
2 1 1
0 0 1
2 2 0
1 0 1
0 2 2
0 2 1
10 5
0 2 1
2 3 3
2 0 3
0 1 1
2 2 0
2 0 2
1 3 2
1 1 2
0 2 3
2 2 1
10 3
1 2 2
2 2 1
2 0 1
0 0 0
2 2 2
0 1 2
2 1 0
1 1 1
1 0 0
1 2 1
10 5
2 0 2
1 1 2
1 3 0
0 3 3
0 1 2
1 1 3
1 2 2
1 0 0
2 2 2
2 0 0
10 2
1 3 2
3 1 2
1 3 1
1 1 1
3 3 3
2 1 3
2 2 2
0 2 2
3 3 2
1 0 1
10 8
2 0 0
0 0 0
0 0 1
2 2 0
1 0 0
0 2 2
1 2 2
0 1 1
1 1 1
0 2 0
10 3
1 0 1
0 0 1
2 2 1
2 0 1
0 1 0
0 0 2
1 2 0
0 0 0
0 1 1
1 2 1
10 5
0 1 0
1 0 0
2 0 3
2 0 2
2 3 1
0 0 2
3 1 3
2 1 1
3 1 0
3 0 2
10 2
1 0 2
1 0 0
1 1 2
0 0 0
0 2 1
2 1 2
0 0 2
2 0 1
2 0 0
2 0 2
10 6
2 0 1
2 2 1
1 1 1
0 0 0
2 1 1
0 2 2
2 1 0
0 2 1
0 0 2
1 1 0
10 3
0 2 1
1 1 1
2 0 2
1 2 2
2 2 2
2 1 2
2 1 1
0 0 0
1 0 2
1 1 0
10 4
2 1 1
1 1 2
1 2 2
2 0 1
1 1 0
1 1 1
1 2 0
2 0 2
0 1 1
2 2 2
10 6
1 1 1
0 3 1
2 1 2
3 1 3
0 1 0
1 1 2
0 3 3
3 1 0
1 3 1
0 3 2
10 4
2 2 1
2 2 0
3 3 3
0 3 0
2 1 3
1 0 1
1 2 1
2 0 1
0 3 3
3 3 2
10 5
2 2 2
0 0 0
2 0 2
1 1 0
2 2 1
2 2 0
0 2 0
1 0 1
0 1 2
2 1 0
10 5
1 2 0
2 3 0
0 3 2
2 2 1
0 2 1
1 3 1
1 2 3
1 1 0
3 3 0
0 1 3
10 8
1 0 2
1 1 0
0 2 1
1 2 1
0 0 0
2 2 0
0 1 1
0 1 2
1 1 2
0 0 1
10 9
1 2 0
0 1 0
0 0 0
2 0 0
2 2 1
1 2 2
1 1 2
2 0 2
0 1 2
2 2 0
10 6
1 2 2
1 1 1
2 0 0
0 0 2
0 0 1
0 1 0
0 0 0
2 1 0
1 0 0
1 1 0
10 3
2 0 0
2 1 1
0 2 2
2 1 0
1 0 0
2 2 3
0 1 2
0 3 1
1 3 3
0 1 1
10 8
1 0 1
2 0 1
2 2 1
0 2 1
0 0 2
2 2 2
1 2 1
2 1 0
1 0 2
1 1 1
10 6
3 0 2
0 3 3
3 0 0
0 2 1
0 1 0
3 2 3
2 0 1
0 2 3
1 0 0
0 0 1
10 8
0 2 3
0 0 1
2 0 0
1 2 0
1 3 1
0 3 0
3 3 3
3 0 3
3 1 2
1 0 3
10 6
2 2 2
3 3 1
3 1 0
1 2 3
3 0 3
0 2 1
3 3 0
0 3 0
0 0 1
1 1 3
10 8
1 1 1
2 1 1
2 2 3
1 0 2
2 1 2
2 0 2
2 2 0
2 3 0
3 0 0
3 1 0
10 8
2 1 3
1 0 0
0 1 0
0 2 2
0 0 0
3 1 2
3 2 3
3 1 3
3 0 1
2 2 0
10 4
2 0 2
2 1 0
3 2 2
2 2 0
0 1 0
0 0 0
0 0 3
3 1 1
2 3 0
0 0 2
10 6
2 0 2
0 3 0
2 3 3
3 2 3
0 2 3
2 1 1
0 2 1
3 3 2
0 2 2
1 1 0
10 3
0 1 2
1 2 0
2 1 2
2 1 1
2 2 1
2 0 0
2 1 0
0 0 1
1 0 0
1 0 2
10 6
0 0 1
0 2 0
1 1 0
0 2 1
1 1 2
2 2 0
0 0 2
2 0 2
1 2 1
0 1 1
10 9
2 2 1
1 1 1
1 2 1
2 0 2
0 0 1
1 2 2
0 0 0
0 1 0
1 2 0
2 1 2
10 2
0 0 2
3 2 0
2 2 0
0 2 2
3 2 2
1 3 2
1 1 3
1 2 1
0 2 3
0 0 0
10 5
0 2 0
0 2 2
2 2 1
2 1 2
1 2 1
1 0 1
2 2 2
0 0 1
0 0 2
2 1 1
10 2
0 2 2
0 0 0
1 1 1
2 1 1
1 1 0
2 2 2
0 0 2
1 1 2
2 0 0
1 0 0
10 8
0 1 0
1 0 0
2 0 1
1 2 2
2 1 2
0 0 1
0 2 2
2 2 0
1 1 1
0 1 1
10 8
1 0 1
1 0 0
0 2 0
0 1 2
0 2 2
2 0 2
0 0 1
1 1 2
0 0 0
2 2 1
10 2
1 1 2
0 2 0
1 2 1
2 2 0
0 2 1
2 1 1
2 0 2
1 2 2
0 1 1
1 1 1
10 6
2 0 2
0 0 0
1 0 1
1 2 1
0 1 0
0 2 2
2 2 2
0 1 1
1 0 0
0 2 1
10 9
0 2 2
2 2 0
0 1 2
2 2 1
0 3 1
0 2 0
3 1 1
2 3 1
3 3 2
3 0 0
10 8
0 3 3
0 3 1
1 3 3
0 3 2
0 3 0
1 1 3
2 2 0
3 3 3
1 0 1
3 2 3
10 6
2 2 1
2 1 2
0 0 1
0 2 2
1 0 0
2 0 2
1 0 1
0 2 1
2 0 0
1 2 1
10 6
3 3 0
0 3 0
1 2 0
2 1 3
2 1 0
2 3 2
3 2 0
2 3 3
1 2 2
2 0 1
10 6
1 0 3
1 3 1
0 2 3
3 1 3
0 0 0
2 2 3
3 3 2
1 2 1
2 2 2
2 0 1
10 4
2 0 0
0 0 1
2 1 0
1 2 1
1 0 2
0 1 2
1 0 1
1 1 0
1 0 0
0 1 1
10 7
2 3 0
0 0 1
3 3 0
1 1 1
0 0 2
0 0 0
1 2 1
2 2 2
1 1 0
1 3 2
10 4
3 1 1
0 1 2
2 3 0
2 3 3
2 3 2
0 2 0
0 0 0
1 1 3
1 2 1
1 0 2
10 2
2 0 2
0 1 2
0 0 1
2 2 2
2 1 2
0 1 1
0 2 0
1 0 1
1 1 2
0 0 0
10 4
2 2 1
2 3 2
3 1 0
3 1 1
0 0 0
1 1 0
1 2 3
2 2 2
1 2 1
3 2 0
10 7
1 2 3
2 0 0
1 0 2
3 2 2
2 0 2
2 3 3
2 0 1
3 1 3
0 2 3
3 2 3
10 6
1 1 1
0 2 0
1 2 2
1 0 1
1 2 1
0 0 1
0 2 1
2 1 2
2 2 0
1 1 2
10 5
3 3 0
2 0 1
0 0 2
2 2 2
2 2 3
0 3 1
0 2 1
2 0 0
3 3 2
1 1 3
10 3
0 0 2
2 1 1
1 0 2
1 2 0
1 1 1
2 2 2
1 2 2
1 0 0
2 0 0
0 2 0
10 7
0 0 1
2 1 1
1 0 2
0 1 2
2 2 2
2 1 2
1 2 2
1 1 0
1 0 0
0 0 2
10 9
1 1 2
0 2 0
1 0 2
2 0 0
2 2 1
1 0 0
1 2 1
0 0 2
0 2 2
1 0 1
10 5
2 1 2
3 2 2
0 2 2
3 3 0
1 1 1
1 2 1
0 1 1
3 0 3
0 0 1
0 2 1
10 5
3 0 3
3 1 1
0 2 2
1 1 2
1 0 3
2 2 2
3 3 2
3 1 3
1 0 2
2 0 3
10 3
2 1 3
1 0 1
1 0 2
3 3 1
2 1 0
2 3 2
2 0 3
2 1 1
0 1 2
3 1 3
10 9
2 2 0
1 1 0
2 0 0
2 0 2
0 1 1
0 0 1
2 1 0
0 0 0
1 2 0
1 0 0
10 2
3 0 2
0 0 1
0 3 0
2 0 1
0 2 3
1 2 1
0 2 0
2 1 2
1 1 1
3 0 3
10 3
2 0 2
2 0 0
0 1 1
2 1 2
1 1 0
1 2 1
2 2 2
0 0 1
1 2 0
0 2 0
10 9
1 3 2
0 0 3
0 0 2
1 1 3
0 3 0
2 3 3
1 2 3
0 1 3
0 3 3
0 3 1
10 7
1 1 2
2 2 1
0 0 0
1 0 0
0 1 1
2 2 2
0 0 2
1 2 1
0 2 0
0 1 2
10 5
0 2 0
1 3 0
3 2 1
3 3 2
1 1 2
0 1 2
0 1 0
3 0 3
2 1 3
0 0 2
10 3
1 1 0
2 1 0
0 2 2
0 1 2
2 1 1
0 0 2
2 0 1
0 1 0
0 0 1
1 2 0
10 8
3 1 1
3 2 2
1 2 2
2 1 3
0 3 2
1 3 3
0 0 2
0 0 1
2 1 0
1 2 0
10 4
0 1 2
1 3 2
1 2 2
3 1 2
2 0 2
1 0 0
2 3 0
1 3 3
3 0 0
0 3 0
10 7
1 2 2
1 1 0
2 0 2
1 2 0
0 2 1
1 1 2
0 1 0
0 0 0
0 1 1
0 2 0
10 2
2 2 2
1 1 1
1 2 2
0 1 0
1 2 0
2 2 1
2 1 2
2 0 1
1 0 2
0 2 0
10 4
1 2 0
0 2 2
1 1 1
0 0 2
0 0 0
1 0 1
0 1 2
2 0 2
1 2 2
2 1 0
10 4
2 1 0
2 0 2
2 2 1
1 2 1
1 0 1
2 1 2
0 1 2
1 0 0
1 2 2
1 0 2
10 2
1 0 3
2 0 3
0 0 3
0 3 0
0 3 1
1 0 2
2 1 1
0 2 2
0 0 1
0 1 1
10 7
2 2 2
2 0 1
1 2 1
0 1 1
0 0 2
2 1 0
0 0 1
1 2 0
2 2 0
2 1 1
10 7
0 0 1
0 1 1
2 1 2
1 2 2
1 1 0
2 0 0
2 0 2
0 1 0
2 2 2
1 2 1
10 9
1 2 2
0 1 0
0 2 1
3 1 2
1 1 0
2 2 0
2 0 3
0 0 0
2 3 0
0 2 0
10 6
0 2 0
2 2 2
0 1 2
2 0 0
2 1 1
1 2 0
2 1 0
2 2 1
1 0 1
0 1 1
10 6
2 1 2
1 3 3
0 2 0
2 3 0
1 1 3
3 1 0
2 3 2
0 0 1
3 0 3
1 0 2
10 6
2 2 1
2 0 2
0 1 2
0 1 1
2 1 2
2 2 0
1 1 2
2 1 0
1 2 1
0 0 1
10 6
1 0 3
3 3 2
3 3 3
1 3 2
2 1 2
1 2 3
1 1 3
0 3 1
0 0 1
0 2 0
10 9
2 1 2
2 2 1
1 2 0
0 0 0
2 2 0
1 0 2
2 2 2
1 2 1
1 0 0
1 1 0
10 4
0 1 1
2 2 2
2 1 2
1 2 0
1 0 0
1 2 2
0 2 1
0 0 2
1 1 0
0 0 0
10 4
0 0 1
0 1 0
1 0 0
0 2 2
0 0 0
2 0 0
2 0 1
0 1 2
1 1 0
2 1 2
10 4
1 1 3
3 0 2
0 1 0
0 3 1
1 3 3
3 1 3
1 0 1
3 1 0
3 3 1
3 0 1
10 5
3 3 3
1 0 2
1 3 1
2 1 2
3 1 0
0 2 0
0 2 3
3 2 2
3 2 0
2 2 0
10 4
1 0 2
1 1 2
2 0 1
0 2 2
1 1 1
1 2 0
0 1 2
2 1 1
0 0 1
1 2 1
10 2
1 1 3
0 3 1
2 0 1
1 0 1
2 2 1
3 2 1
0 2 2
1 2 0
1 0 2
2 0 3
10 8
0 1 1
2 2 1
0 3 3
2 3 2
3 1 2
1 1 0
0 2 3
3 2 1
3 1 0
0 0 1
10 5
1 0 0
0 0 0
1 1 1
0 0 2
1 1 0
2 1 2
1 0 2
0 2 0
1 2 0
2 1 1
10 2
0 2 0
1 0 1
1 1 0
1 2 1
2 2 1
1 0 0
1 2 0
2 0 0
0 0 1
1 0 2
10 4
0 2 1
2 2 1
1 2 0
0 1 1
1 1 1
0 0 0
2 0 1
1 0 0
2 1 0
0 0 1
10 4
2 1 2
0 1 0
2 2 0
2 1 1
2 2 1
2 1 0
1 1 0
1 0 0
0 2 2
0 0 1
10 9
0 0 2
1 2 1
2 0 1
0 1 0
0 0 1
2 2 1
2 1 1
2 1 0
2 1 2
2 2 2
10 7
2 3 1
2 1 3
1 2 0
1 2 3
3 0 0
2 2 1
1 3 1
2 0 3
0 3 0
1 0 1
10 7
0 1 0
1 0 1
2 2 0
0 0 0
0 2 2
1 1 0
1 1 1
2 1 0
0 1 1
2 0 2
10 2
2 2 0
1 2 0
2 3 0
1 3 0
3 3 2
3 3 3
3 1 1
1 0 2
3 2 1
0 1 1
10 7
2 1 1
2 2 1
1 2 1
0 0 1
2 1 0
1 1 0
1 0 0
1 2 2
1 1 1
0 1 0
10 4
2 0 1
1 2 0
0 2 1
0 0 2
1 2 2
2 1 2
2 1 0
0 1 2
2 2 2
1 0 0
10 7
0 2 0
3 0 0
1 0 1
0 3 3
0 1 1
2 1 1
0 3 1
3 1 0
1 2 1
3 0 2
10 2
2 1 1
1 2 1
2 0 1
1 0 1
2 1 0
1 1 3
0 0 2
3 0 0
1 2 0
2 0 3
10 6
1 0 3
2 2 1
2 1 1
3 0 0
0 2 2
1 1 1
3 1 0
0 0 2
3 2 3
0 2 1
10 9
0 0 2
2 1 0
0 0 1
1 2 2
0 0 0
1 1 1
1 2 0
1 2 1
0 1 0
0 1 1
10 3
0 2 3
2 3 0
3 1 1
2 1 2
2 2 3
1 0 3
0 2 2
1 2 2
2 1 3
0 3 2
10 8
1 0 0
0 1 2
2 2 1
2 1 1
1 2 0
0 2 1
1 2 2
2 0 1
1 0 2
2 2 0
10 3
0 0 0
0 2 1
2 1 1
2 2 0
0 0 2
2 0 2
0 1 2
0 2 0
1 1 2
1 2 0
10 2
1 3 2
3 0 3
3 0 1
0 2 1
1 1 3
1 0 1
0 2 0
3 1 1
1 0 3
2 3 1
10 9
2 1 1
2 0 3
3 3 1
1 3 1
0 1 1
0 2 2
0 3 0
0 2 0
1 2 2
1 1 0
10 4
0 0 0
0 1 1
1 0 1
1 0 2
1 2 2
2 0 2
2 1 0
2 1 2
2 2 0
0 1 2
10 7
1 2 1
1 2 2
0 1 1
1 0 1
2 0 1
1 1 2
2 2 0
2 1 0
2 0 2
0 0 1
10 5
2 2 1
0 1 0
3 0 3
3 1 1
0 1 2
1 0 3
2 2 3
1 1 0
2 0 3
2 2 0
10 6
2 2 0
1 1 0
0 0 0
1 2 0
1 1 1
2 2 1
1 2 1
0 1 1
1 0 2
0 1 2
10 3
1 2 1
2 3 1
3 1 3
2 3 3
3 0 0
0 0 3
3 3 3
3 2 3
2 1 3
3 2 2
10 5
2 0 1
2 2 0
0 0 2
1 1 0
1 0 0
2 1 1
2 2 2
0 0 1
2 0 2
1 0 2
10 5
1 2 2
0 0 0
0 0 1
1 1 0
1 1 1
2 1 2
0 1 1
2 2 1
2 1 1
2 0 0
10 5
0 0 1
0 3 1
0 2 3
3 3 0
3 0 0
2 1 1
0 0 0
0 1 0
1 2 3
3 1 2
10 4
1 1 2
1 0 1
0 1 0
2 2 1
0 0 2
1 0 0
0 2 2
0 1 1
1 0 2
2 2 2
10 9
1 0 1
1 1 2
1 1 1
2 0 1
0 1 1
2 1 0
0 2 0
2 2 0
1 1 0
0 2 2
10 9
0 1 2
2 2 0
1 1 2
3 2 3
0 0 0
1 3 3
1 0 3
0 0 1
0 2 1
3 2 1
10 6
2 3 2
0 1 1
0 0 3
3 2 1
3 3 2
1 0 3
1 1 3
0 3 0
3 1 2
1 3 1
10 3
3 1 2
0 0 3
1 2 3
1 3 3
1 0 1
2 0 3
1 2 1
0 3 3
3 0 3
3 3 2
10 3
3 0 2
3 1 0
2 0 2
3 1 2
0 2 2
1 2 3
1 0 3
3 1 1
1 3 0
2 2 1
10 5
1 2 0
1 2 1
0 2 0
0 1 1
0 1 2
1 0 2
1 0 1
2 2 0
2 0 2
2 1 0
10 6
2 2 0
2 2 2
2 0 0
0 2 0
1 2 1
0 1 1
0 1 2
0 0 2
2 1 2
1 0 0
10 4
2 2 2
1 2 1
0 0 0
2 2 1
1 0 0
1 2 2
1 1 2
2 0 2
2 1 2
0 2 0
10 3
3 0 3
3 3 1
1 1 3
3 3 3
1 0 2
0 0 2
2 0 3
3 1 3
3 0 0
2 1 1
10 6
0 2 1
1 0 1
0 2 0
1 0 0
0 1 2
2 1 1
2 0 1
2 0 0
1 2 1
0 2 2
10 4
2 1 2
0 1 0
1 1 2
1 0 1
2 0 1
2 2 1
2 0 0
0 0 0
1 2 1
0 1 2
10 6
1 3 1
1 3 3
0 2 2
0 2 3
1 1 3
2 0 1
2 2 3
2 3 0
2 0 3
0 3 2
10 7
2 3 0
0 2 0
2 2 2
3 3 0
0 1 3
0 2 2
3 0 2
2 0 3
2 1 3
1 0 2
10 5
1 0 0
0 1 1
1 1 1
0 0 2
1 2 1
0 0 0
1 0 1
1 1 2
0 0 1
1 0 2
10 2
3 2 1
3 0 1
1 2 2
2 0 1
0 3 1
0 0 3
1 1 0
0 0 1
2 2 2
2 1 3
10 5
3 2 0
3 0 2
2 3 1
1 3 2
2 3 3
2 3 2
2 1 2
2 3 0
1 1 0
0 1 0
10 7
1 1 1
0 2 0
1 1 0
1 2 1
2 2 1
0 0 2
0 2 1
2 0 2
0 1 2
0 0 0
10 7
1 2 3
2 0 1
3 1 0
3 3 2
2 3 3
3 0 3
0 1 1
1 1 1
0 2 3
0 2 2
10 6
2 3 0
2 2 0
2 1 2
0 3 0
1 0 2
3 2 0
0 0 2
2 0 3
1 3 2
0 3 2
10 5
2 1 3
3 3 3
1 3 2
3 2 0
1 0 3
3 0 0
1 1 0
2 0 1
2 2 0
3 0 2
10 6
0 2 2
3 0 3
2 3 3
1 2 0
0 1 3
1 3 2
3 3 3
3 2 2
1 3 3
3 1 0
10 2
1 0 2
2 2 0
0 1 2
0 0 1
2 2 2
0 2 1
0 2 0
0 2 2
2 1 1
1 1 2
10 9
1 0 2
0 2 3
3 1 3
2 3 3
3 1 2
0 1 0
0 0 3
3 2 0
1 0 0
1 3 2
10 9
1 1 1
2 1 1
2 0 1
2 2 2
2 1 2
0 0 2
2 0 2
0 1 0
1 1 0
0 2 1
10 2
3 1 2
3 3 1
0 3 2
0 2 0
3 2 2
2 1 1
2 2 2
0 1 2
3 1 1
2 1 2
10 5
3 3 2
0 0 3
0 3 0
2 2 2
1 0 1
2 0 1
2 0 0
0 1 3
3 2 0
2 1 1
10 6
0 2 0
2 1 1
2 0 1
0 0 1
1 2 2
0 2 2
2 2 2
2 0 2
1 0 2
1 2 0
10 3
2 1 3
3 0 1
3 3 1
2 1 2
0 2 1
0 1 3
1 3 2
0 3 2
1 1 1
1 3 3
10 4
2 1 1
1 1 1
0 2 0
0 1 0
0 1 2
2 1 0
2 2 1
2 1 2
0 0 2
2 2 0
10 2
0 0 1
0 1 2
1 1 2
1 1 0
2 0 2
2 2 0
2 1 0
1 0 2
0 1 0
0 2 1
10 2
0 1 0
2 0 2
0 2 2
2 0 1
1 2 1
1 0 2
2 0 0
2 1 0
0 0 2
1 2 0
10 7
0 0 1
0 2 0
1 0 0
0 0 0
1 1 1
2 1 0
0 1 0
1 1 0
0 1 1
2 1 1
10 5
2 0 1
1 0 0
2 0 0
3 1 0
2 1 2
1 2 3
2 2 3
1 3 2
1 0 3
3 1 2
10 3
1 0 0
2 1 1
2 0 1
2 2 0
0 1 0
0 2 1
2 2 2
1 0 2
1 1 1
0 1 2
10 4
0 0 3
0 0 2
2 3 2
3 0 0
1 2 0
0 2 2
1 1 1
3 0 3
1 3 2
0 3 1
10 9
0 2 0
0 2 1
1 0 2
2 2 2
0 0 0
2 1 0
1 1 2
2 1 2
0 1 1
0 1 2
10 5
0 2 2
1 0 1
2 0 1
2 2 0
2 1 1
0 2 1
1 0 0
0 2 0
1 2 2
1 0 2
10 5
0 1 2
0 0 3
1 1 3
3 1 0
3 1 2
3 2 0
2 2 2
1 2 0
3 1 3
1 2 3
10 5
3 1 3
0 0 2
0 2 3
0 0 3
3 1 0
1 0 3
1 3 3
3 0 2
0 0 0
3 0 0
10 5
2 0 0
2 1 0
1 2 1
1 1 0
0 1 0
1 1 1
1 0 0
0 2 1
2 0 1
1 0 2
10 8
2 1 0
0 2 1
2 0 2
0 1 2
0 0 2
1 0 1
1 2 2
2 1 2
0 2 0
0 0 0
10 7
1 2 2
0 1 3
2 1 2
3 3 3
2 0 3
1 2 1
3 2 0
0 1 0
3 1 2
0 0 0
10 9
3 3 0
0 3 3
1 2 3
1 1 0
2 1 3
0 1 0
3 1 1
2 3 1
0 1 3
2 1 0
10 9
2 0 0
2 2 1
0 0 2
0 1 0
2 2 0
0 0 1
1 1 1
0 2 1
1 0 2
0 1 2
10 4
1 2 3
3 3 0
1 2 2
3 0 0
1 3 1
2 1 0
1 0 3
3 1 3
2 2 2
0 1 3
10 4
2 0 1
2 1 0
1 2 0
2 0 0
2 2 1
1 2 2
1 0 2
0 2 0
0 2 2
1 0 1
10 9
3 0 2
3 1 1
2 0 3
2 2 2
0 0 3
3 3 3
0 2 3
3 3 2
3 1 3
3 2 2
10 9
1 0 0
0 0 2
0 1 1
1 2 0
2 2 0
0 2 1
0 1 0
0 2 2
2 0 1
0 0 1
10 6
1 2 1
2 1 1
1 1 2
1 0 1
0 1 2
0 1 1
2 1 0
2 0 0
1 1 0
2 1 2
10 5
0 1 0
1 0 2
2 0 0
0 1 1
1 2 1
0 2 2
1 1 1
0 0 0
1 2 0
1 0 1
10 7
1 1 2
0 1 1
1 0 1
1 2 2
2 0 2
1 1 0
2 1 0
2 0 1
2 1 2
2 2 0
10 7
1 3 0
3 1 1
2 2 0
1 0 2
2 3 0
0 3 3
2 1 3
0 2 3
3 1 0
3 0 1
10 4
1 1 1
1 2 2
2 0 0
0 2 1
0 2 2
0 1 2
2 2 1
0 0 1
1 0 2
2 1 2
10 6
2 0 2
0 2 0
3 0 3
1 1 3
0 3 3
2 0 3
1 1 2
0 2 3
0 3 2
3 3 0
10 5
1 1 0
2 0 1
2 1 1
0 1 1
0 1 0
0 2 0
0 0 1
1 0 0
1 2 1
2 2 2
10 3
0 0 2
0 1 2
1 2 2
1 0 1
1 1 0
0 1 1
0 2 0
1 2 0
2 1 1
1 2 1
10 5
2 1 2
1 2 0
0 0 2
2 2 2
1 2 1
1 1 1
1 0 0
0 0 0
1 0 1
2 2 0
10 4
2 3 2
0 1 2
1 1 3
0 2 0
0 0 0
0 0 2
0 1 0
3 1 0
3 0 0
3 0 1
10 5
0 2 3
3 2 3
2 0 3
3 3 1
1 0 2
3 3 3
1 0 1
0 3 0
0 3 2
2 1 2
10 9
2 3 1
2 3 2
0 1 0
1 3 3
0 0 2
3 1 0
0 1 3
1 2 3
0 1 1
0 3 0
10 3
0 2 2
2 3 1
2 1 3
3 1 2
1 1 3
3 2 0
0 2 3
2 1 2
0 3 1
3 0 0
10 3
0 2 3
2 2 2
2 1 0
2 1 1
3 3 1
1 1 3
0 2 1
0 2 0
1 2 1
1 1 1
10 7
2 0 0
1 2 2
2 0 3
0 2 3
1 3 0
0 0 2
2 1 1
0 0 1
2 3 3
1 1 0
10 9
2 2 1
2 0 2
2 1 0
2 2 2
0 1 1
1 0 1
2 0 1
0 0 0
1 1 0
1 1 1
10 3
0 0 1
0 2 1
2 3 3
3 1 3
1 1 0
1 0 1
1 0 3
3 2 2
3 1 0
3 3 3
10 8
0 0 0
0 3 3
2 0 0
2 3 1
3 0 3
3 3 0
0 0 2
2 1 1
3 1 2
0 1 0
10 5
0 2 2
0 0 0
2 2 0
0 0 1
1 0 2
1 1 0
0 1 1
1 2 2
1 0 1
2 0 2
10 6
1 1 1
1 2 2
0 2 1
1 1 0
2 0 2
2 2 2
0 0 2
0 0 1
2 0 1
2 0 0
10 8
2 2 0
1 0 0
1 2 1
2 1 0
1 1 1
0 1 2
0 1 0
2 2 2
1 0 1
0 0 1
10 2
0 1 1
1 2 2
1 0 1
2 0 1
1 1 2
0 2 0
0 2 1
2 1 0
0 0 2
2 2 2
10 5
0 1 1
1 2 2
1 0 2
2 2 2
2 0 1
2 1 1
2 2 1
0 1 0
2 0 0
1 0 1
10 6
2 3 0
2 1 0
2 0 1
2 2 3
0 1 3
0 2 0
3 2 3
0 1 1
2 3 2
2 1 3
10 6
1 0 2
0 2 2
2 0 0
2 2 0
1 2 1
0 0 2
1 1 2
2 1 1
0 0 1
1 0 1
10 5
3 0 0
3 3 2
2 1 0
1 0 3
2 0 0
2 3 3
2 1 1
0 3 0
0 2 3
3 2 2
10 5
2 2 2
2 1 0
1 2 2
0 0 0
1 0 0
0 1 2
0 2 0
2 1 2
1 2 0
0 0 2
10 3
1 3 2
3 0 3
2 0 1
0 2 3
1 0 2
3 2 1
1 1 2
3 1 3
3 3 3
3 0 0
10 9
2 1 1
0 0 0
0 1 2
0 2 1
3 0 1
0 1 3
1 1 2
3 2 3
1 2 1
1 3 1
10 2
0 1 2
1 1 0
2 2 1
0 2 2
0 1 0
1 2 1
2 1 2
0 0 2
1 2 2
0 0 1
10 6
1 3 3
3 0 2
2 2 1
0 0 0
2 1 1
2 1 3
3 3 3
3 0 1
2 3 0
0 1 3
10 6
3 2 3
3 0 0
3 3 2
1 1 0
1 2 1
0 1 1
3 0 1
2 1 0
1 3 3
1 2 2
10 8
2 0 0
1 3 1
3 1 2
1 0 2
2 2 2
3 2 0
3 1 1
2 0 2
2 3 0
0 1 3
10 7
0 2 1
2 2 2
0 1 0
1 2 1
2 1 2
0 0 2
1 2 2
0 1 2
1 0 1
1 1 0
10 6
0 3 0
1 1 1
1 1 2
3 3 3
0 1 1
3 1 0
1 2 3
1 0 1
0 0 3
3 1 3
10 4
0 1 0
0 2 1
2 0 1
0 0 1
1 0 1
2 1 2
2 2 0
2 0 0
0 0 0
1 1 0
10 4
2 0 1
1 3 3
2 1 0
3 2 0
1 2 1
1 1 0
0 1 0
1 1 1
2 1 3
1 2 0
10 2
1 0 2
1 2 2
2 1 2
1 1 1
0 2 1
2 2 1
2 0 0
1 1 2
2 0 1
0 0 0
10 3
1 3 1
0 3 1
2 0 3
3 3 2
1 1 3
1 3 2
3 3 3
2 2 2
2 1 3
3 3 0
10 5
2 1 2
1 1 2
0 1 2
2 1 1
2 0 1
0 1 0
0 0 2
0 0 0
0 0 1
0 2 2
10 9
0 2 2
0 1 1
1 0 2
0 0 2
2 1 1
1 0 1
2 0 2
1 2 2
1 2 0
1 0 0
10 3
0 2 2
2 1 1
0 1 2
0 1 1
2 1 0
0 0 1
2 1 2
0 2 1
0 0 0
1 1 1
10 6
1 1 0
1 0 2
1 0 1
1 2 2
1 2 0
0 1 2
2 2 1
0 0 0
2 0 1
2 1 0
10 4
2 1 1
2 2 0
0 0 0
2 1 2
0 1 1
1 0 2
2 2 2
0 2 2
1 1 0
2 2 1
10 6
0 2 2
0 0 3
1 3 2
3 3 1
3 0 2
1 2 2
0 2 3
1 2 0
0 2 0
3 3 2
10 6
0 2 1
3 0 0
1 3 3
0 3 0
2 3 3
2 0 2
2 2 2
2 0 3
2 2 3
1 1 0
10 3
2 2 1
0 0 0
2 1 0
1 0 1
1 2 0
0 2 1
0 2 2
2 2 2
1 1 0
0 2 0
10 7
2 1 0
3 2 2
1 1 1
3 1 0
0 2 3
0 0 2
2 2 1
2 0 0
2 0 2
0 0 3
10 8
1 1 0
1 1 2
1 1 1
2 1 1
1 2 1
2 2 1
0 2 1
2 0 0
1 0 1
0 1 2
10 7
3 0 2
3 0 0
3 3 3
3 2 3
2 0 0
2 0 1
0 3 0
3 1 1
1 2 3
3 1 3
10 8
0 0 0
2 0 2
3 0 2
1 0 0
0 2 1
1 0 1
0 2 0
3 1 1
0 0 3
0 0 1
