10
5 5 1
0 1 0 0 0
1 0 0 0 0
0 0 0 0 0
1 0 1 1 1
1 0 0 1 1
5 5 2
0 1 0 0 0
1 0 0 1 1
0 0 0 0 0
1 0 1 1 1
1 0 0 1 1
50 10 21
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
0 0 1 1 0 1 1 1 0 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 1 1 1 0 1 0 1 1 0
1 0 1 0 1 1 0 0 1 1
1 0 1 0 1 1 0 0 1 1
1 0 1 0 1 1 0 0 1 1
0 0 1 1 1 0 0 0 0 1
0 0 1 1 1 0 0 0 0 1
0 0 1 1 1 0 0 0 0 1
50 10 49
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
0 1 1 0 1 0 0 1 0 0
1 0 0 1 1 0 1 1 0 0
1 0 0 1 1 0 1 1 0 0
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
1 0 1 0 0 0 0 0 0 1
0 0 1 1 1 1 1 1 0 0
1 0 0 1 0 1 1 0 0 1
0 1 0 0 0 1 1 1 0 1
50 10 31
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 0 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
0 0 0 0 1 1 0 1 1 1
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 1 0 0 1 0 0 1 0
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
1 1 0 0 0 1 1 0 1 1
0 0 0 0 0 1 0 1 1 1
50 10 46
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
1 0 1 0 0 1 1 0 1 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 1 1 1 1 0 1 0 1
0 1 0 0 0 0 0 1 0 1
0 1 0 0 0 0 0 1 0 1
0 1 0 0 0 0 0 1 0 1
0 1 0 0 0 0 0 1 0 1
1 0 1 0 1 1 0 0 0 0
1 0 1 0 1 1 0 0 0 0
1 0 1 0 1 1 0 0 0 0
1 0 1 0 1 1 0 0 0 0
1 0 1 0 1 1 0 0 0 0
1 0 1 0 1 1 0 0 0 0
1 1 1 1 1 0 1 0 1 1
1 1 1 1 1 0 1 0 1 1
1 1 1 1 1 0 1 0 1 1
50 10 39
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
0 0 0 0 1 0 1 1 1 0
1 1 1 1 0 0 0 1 1 1
1 1 1 1 0 0 0 1 1 1
1 1 1 1 0 0 0 1 1 1
1 1 1 1 0 0 0 1 1 1
1 1 1 1 0 0 0 1 1 1
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 1 1 1 1 1 0 0 0
1 0 0 1 1 1 0 0 1 1
1 0 0 1 1 1 0 0 1 1
0 0 1 0 1 0 0 0 1 0
0 0 1 0 1 0 0 0 1 0
1 0 0 1 0 0 0 1 1 0
1 0 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 1
100 20 10
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0
0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1
0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1
0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1
0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1
1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1
1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1
1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1
0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1
0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1
0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1
1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1
0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1
0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1
0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 0
100 20 3560
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
100 20 9928
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0