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0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,3,1
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1
0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1
0,0,1,0,2,0,1,4,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,1,0,0,3,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1
0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,0,0,8,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,0,2,1
0,0,2,0,0,0,8,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,3,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,0,2,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1
0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,0,2,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1
0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,0,2,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,5,0,1,3,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1
0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,23,0,2,5,0,0,10,1,0,6,0,0,5,10,3,0,0,1,0,0,1,10,2,2,1,4,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,6,0,0,0,3,3,0,0,3,0,3,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,1
0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,4,1
0,0,2,0,2,0,1,1,0,0,0,0,1,1,1,2,1,0,2,1,0,0,0,1,6,1,0,1,0,0,1
0,0,1,0,5,0,0,1,1,0,2,0,0,2,0,0,2,3,3,0,0,0,0,4,1,1,0,10,1,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1
0,0,1,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1
0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,0,1,1
0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1
0,0,1,0,6,0,0,0,0,0,11,0,4,4,1,1,0,1,11,4,0,1,0,1,4,0,0,4,3,3,1
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1
0,0,1,0,9,0,1,2,0,0,1,0,1,4,2,0,0,0,2,0,1,1,0,0,3,0,0,3,4,3,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,1
0,0,1,0,24,0,1,0,0,0,15,0,0,3,0,2,4,1,4,4,1,7,0,4,2,26,1,5,10,57,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1
0,0,2,0,5,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,1,1
0,0,1,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1
0,0,4,0,6,0,0,0,0,0,0,0,4,7,0,2,8,4,7,1,1,2,0,2,5,2,3,4,1,11,1
0,0,1,0,2,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
6,7,2,0,6,4,0,1,2,0,2,1,2,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0
7,0,1,1,13,0,2,0,1,0,1,0,1,1,7,0,1,1,0,4,0,0,0,0,1,0,0,0,3,0,0
0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,3,2,0,0,2,0,1,0,0,1,0,1,0,2,0,2,1,2,0,0,0,2,0,0,0,0,2,2,0,0
0,0,1,0,2,0,0,3,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0
13,21,4,5,1,10,0,3,6,3,0,1,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,1,2,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
84,0,2,0,26,0,9,0,3,0,3,0,1,9,32,0,0,3,3,2,40,0,1,20,6,9,5,2,5,2,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0,1,0,0,0,0,0,1,0
0,0,1,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0
7,0,2,2,1,0,2,1,0,1,0,1,2,1,1,2,0,1,2,0,6,1,0,0,6,2,0,0,0,0,0
30,10,3,1,5,6,0,1,5,1,0,3,1,5,0,1,0,1,2,0,4,2,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,6,2,2,0,2,1,1,0,1,3,1,0,0,1,2,1,2,0,3,0,1,2,0,0,2,0,2,0,0,0
1,0,3,2,0,0,2,1,0,2,0,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,6,0,2,2,1,0,5,0,2,1,0,3,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0
0,0,1,1,0,0,0,1,6,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0
2,11,4,6,4,6,0,0,4,4,1,2,4,1,0,0,0,2,1,1,0,1,0,0,1,2,1,1,2,1,0
0,5,3,3,0,1,0,0,3,1,1,2,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0
1,3,2,1,3,2,0,0,0,0,2,0,1,3,2,3,1,0,0,1,0,1,2,0,0,2,0,1,0,0,0
7,9,4,3,1,5,1,3,0,2,1,4,2,1,5,0,1,1,0,0,1,1,0,0,0,1,2,0,0,1,0
0,0,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,0,0
7,0,1,0,1,0,0,0,0,0,1,0,0,0,3,0,5,0,1,2,0,0,0,2,0,0,1,1,1,3,0
4,5,3,6,2,2,0,1,2,3,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
2,1,2,3,5,1,2,2,1,3,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,3,0,0,3,0,0
6,4,3,8,0,2,2,0,3,4,0,1,1,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,1,1,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,2,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
5,6,3,1,2,3,0,1,3,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,2,2,0,0,0,0,2,1,0,0,0,1,0,0,0,0
1,0,2,2,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0
9,0,1,1,1,0,0,0,0,0,3,0,0,1,0,7,2,0,1,0,0,0,1,7,1,0,0,0,1,3,0
1,0,2,5,0,0,1,2,4,2,0,2,1,0,0,1,1,0,4,1,2,1,1,0,0,0,1,0,0,0,0
2,1,2,2,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0
3,0,1,0,5,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,6,0,0,0,0,0,2,0
17,5,1,0,3,0,11,4,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
2,3,2,3,0,2,0,0,0,2,1,0,3,1,2,1,2,0,0,0,1,0,4,0,0,0,0,0,1,0,0
0,0,2,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
14,6,3,3,6,4,0,1,0,2,0,2,2,2,4,1,0,1,0,0,0,0,0,3,1,0,1,1,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,10,2,3,1,5,0,1,1,2,4,0,3,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,0,0,0
2,4,2,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0
45,63,3,4,7,33,0,6,0,4,1,0,2,0,12,5,0,1,1,0,0,1,1,3,0,0,1,0,1,1,0
0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,15,3,5,1,7,0,1,3,3,1,1,1,3,0,1,1,0,0,1,0,2,1,0,1,2,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
4,4,2,3,1,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,0,0,1,0,1,1,0,4,1,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0,3,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0
3,1,2,2,4,1,1,1,0,0,0,1,2,0,2,0,1,2,0,1,0,2,0,0,0,0,1,0,0,0,0
0,0,1,0,3,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
3,0,4,8,0,0,8,1,0,4,2,0,0,0,3,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0
1,2,3,5,0,1,1,1,0,2,1,1,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0
0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,0,2,0,1,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0
2,0,1,1,0,0,0,1,0,2,0,1,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0
3,0,2,1,0,0,1,0,1,2,0,1,0,0,1,4,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0
1,0,2,1,1,0,3,2,0,0,0,0,1,0,2,4,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,3,4,1,0,0,0,1,2,1,0,2,1,6,0,15,1,0,2,0,1,0,0,3,3,2,2,2,0
3,0,3,6,1,0,2,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0
65,6,6,0,2,3,33,2,4,0,0,2,5,0,0,0,0,0,2,0,2,2,0,1,0,0,1,2,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,0,1,4,1,0,1,0,0,1,0,4,0,0,0,2,0,2,0,2,0,2,0,0,1,0,1,0
1,0,1,0,3,0,0,2,0,0,0,2,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0
14,0,1,0,14,0,3,8,0,1,3,1,0,0,0,2,0,1,1,4,2,0,1,8,1,0,2,1,1,2,0
1,3,4,10,2,2,4,4,4,6,1,0,1,3,0,0,0,1,0,2,1,1,0,0,0,0,2,1,0,0,0
0,0,5,4,2,0,0,2,4,0,1,3,1,0,0,0,0,0,0,0,0,1,3,0,0,1,2,1,0,0,0
5,7,3,4,3,3,1,1,1,3,3,3,1,4,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,2,0
0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,3,0,0,1,0,0
3,9,2,0,2,0,0,2,2,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0
2,16,4,9,8,6,0,2,3,4,6,1,1,2,0,0,2,4,1,2,1,1,4,0,6,1,1,0,0,0,0
13,9,2,1,10,4,1,10,2,1,5,2,0,1,0,0,0,1,3,3,0,3,1,0,2,3,1,3,6,3,0
0,0,2,2,0,0,0,1,1,1,2,0,0,0,4,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0
4,1,3,0,2,1,2,1,0,0,1,0,4,0,3,1,0,1,0,0,1,2,1,0,0,1,1,0,0,1,0
1,2,2,2,1,1,0,0,0,2,1,1,0,2,1,0,0,0,0,0,2,0,0,1,3,1,1,1,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
21,0,1,0,10,0,0,0,0,0,1,0,1,0,2,0,8,1,2,4,0,0,0,2,6,0,0,1,0,1,0
0,0,1,2,5,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,2,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0
0,3,2,4,0,2,0,0,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
18,2,3,3,14,1,4,9,2,4,5,2,0,1,0,2,0,1,1,4,3,1,1,8,1,0,3,1,1,2,0
0,0,2,1,4,0,1,3,1,0,1,0,0,0,1,0,0,0,2,1,0,1,2,1,0,0,3,1,0,0,0
4,0,2,0,1,0,0,0,0,0,1,0,3,0,1,6,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0
2,3,4,6,1,2,2,2,5,2,1,2,5,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0
4,0,2,1,1,0,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0
0,10,4,3,5,6,3,0,4,1,0,0,3,0,0,3,1,1,0,1,2,2,4,1,0,1,3,1,1,0,0
4,0,1,0,2,0,2,1,20,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
0,10,3,8,0,5,0,1,2,4,2,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0
4,7,2,3,0,3,0,1,0,2,2,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0
7,3,2,2,0,2,0,0,2,1,0,0,1,3,0,2,0,5,0,0,0,0,1,2,0,0,0,1,3,0,0
1,6,3,4,2,3,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0
5,4,3,6,3,2,0,2,1,0,1,3,0,0,1,0,0,0,1,0,1,2,1,0,1,2,0,0,0,0,0
11,6,3,7,1,2,0,1,0,3,0,1,0,2,2,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0
34,26,6,6,2,23,0,1,6,4,5,4,4,6,0,5,0,1,1,0,18,3,1,0,0,1,0,0,2,0,0
1,3,2,1,1,2,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
13,38,6,4,16,20,1,10,14,3,5,6,3,3,0,0,0,1,3,3,0,3,1,0,3,3,2,4,7,3,0
2,0,2,1,0,0,0,1,2,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,8,3,6,3,5,0,2,0,3,0,2,2,1,6,0,0,0,1,0,0,4,1,0,6,0,1,0,0,0,0
1,0,1,0,2,0,0,0,0,1,1,1,0,1,0,2,0,2,0,0,2,1,1,1,2,0,0,0,0,6,0
1,4,2,2,2,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0
4,3,2,4,0,2,1,1,0,2,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0
0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0
0,3,3,0,2,9,0,1,2,0,0,1,1,0,0,0,0,0,0,3,1,0,1,1,0,1,0,1,1,0,0
3,0,2,0,1,0,0,1,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0
6,6,3,3,1,4,3,1,0,3,0,1,3,1,4,3,0,0,1,0,0,1,3,4,0,1,1,0,0,0,0
1,0,3,2,0,0,7,0,6,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,8,3,5,1,4,0,0,2,3,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0
4,0,1,2,3,0,1,1,0,2,0,2,0,0,0,2,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0
5,13,2,1,2,7,0,3,0,1,1,0,1,1,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,6,2,2,0,2,0,1,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
2,11,2,1,1,4,0,1,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,8,3,6,1,4,0,1,2,3,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
3,0,1,0,0,0,1,2,0,1,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0
2,1,2,1,4,0,2,1,0,1,0,1,1,2,1,0,0,1,0,0,0,1,0,0,3,0,0,0,1,0,0
2,5,2,4,0,3,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,2,0,0
2,0,2,4,1,0,2,2,0,4,1,1,0,1,2,1,0,3,0,0,1,3,0,0,1,1,1,0,2,0,0
5,1,4,9,12,1,4,3,4,5,1,5,5,4,0,0,0,4,1,5,8,1,0,0,1,1,0,1,3,2,0
0,0,1,0,4,0,0,0,0,0,1,0,1,1,0,0,1,0,1,2,0,0,4,0,4,0,3,0,2,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,2,0,0,0,1,0,0,2,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0
1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0
0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,2,1,2,0,0,1,0,0,2,2,0,0,1,2,0,2,0,0,1,2,0,0,2,2,0,1,2,1,0
3,0,4,6,0,0,4,0,3,4,4,0,0,2,0,0,0,0,2,0,0,0,0,0,0,4,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
5,1,8,4,0,1,3,2,0,2,0,0,2,0,5,0,3,1,0,0,0,0,1,1,1,1,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0
14,14,4,2,3,7,1,4,0,1,1,1,2,0,5,0,0,1,0,0,0,1,0,0,2,2,0,0,2,0,0
3,2,4,1,8,1,0,4,0,1,4,3,0,0,7,14,6,0,0,0,0,7,10,0,1,3,1,6,6,0,0
0,0,1,1,0,0,0,0,0,0,5,0,0,1,0,0,2,0,0,9,0,0,0,0,0,0,1,0,2,0,0
5,0,1,0,2,0,0,0,0,0,0,0,0,0,2,0,4,0,1,1,0,0,0,5,1,0,0,2,0,1,0
4,0,1,2,3,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,3,0,2,1,0,0,0,0,1,0,0,0,1,0,1,0,0,9,0,0,0
0,3,3,5,0,2,2,1,0,3,0,0,1,0,3,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0
13,1,4,2,7,1,7,4,7,2,0,5,4,8,0,11,0,0,0,0,0,4,7,3,0,0,1,0,0,0,0
32,13,4,6,1,6,0,3,0,4,4,3,1,3,3,2,0,0,0,0,0,1,5,0,1,0,0,0,2,0,0
0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,2,2,0,0,2,0,2,0,1,0,0,0,2,0,0,0,0,0,0,2,0,1,0,2,0,0,1,0
2,5,5,11,3,3,0,0,5,7,9,2,13,1,0,0,12,1,2,21,1,2,0,10,0,1,0,11,2,1,0
0,0,1,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
47,0,2,1,12,0,6,0,0,0,1,0,1,9,20,1,1,0,2,1,26,0,0,5,43,0,11,1,0,5,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,2,2,0,2,1,1,1,2,0,0,2,2,0,1,0,0,0,4,0,0,2,0,2,1,0,2,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
2,5,3,4,4,3,0,0,3,2,1,1,4,1,0,0,0,2,1,1,0,0,0,0,1,0,1,1,2,1,0
1,4,2,2,1,2,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,3,7,0,0,4,0,2,5,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,9,3,4,1,5,3,2,3,3,3,2,1,1,0,3,1,0,0,0,0,1,0,4,0,0,2,1,0,0,0
0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,2,2,3,1,1,0,1,0,2,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,0
0,2,2,3,1,1,0,3,4,1,2,0,0,0,0,0,0,1,0,0,0,3,0,1,1,1,1,0,0,0,0
1,2,2,3,2,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,1,2,1,0,1,2,2,3,2,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0
1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,1,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0
0,0,1,1,4,0,0,0,2,0,2,1,0,3,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0
7,0,2,3,5,0,3,0,4,1,9,0,1,6,3,0,2,0,2,2,3,0,1,0,4,0,0,3,1,1,0
2,7,3,6,0,4,0,1,0,4,0,1,1,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
8,4,4,6,0,2,0,1,0,3,0,1,3,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0
2,23,3,2,1,5,0,2,3,2,3,3,1,0,0,3,0,0,0,0,0,2,0,0,0,1,1,4,1,1,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0
0,0,2,0,2,0,0,3,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
1,0,2,3,1,0,1,0,0,1,0,1,1,0,1,1,3,3,0,6,0,0,0,1,0,1,0,0,0,1,0
1,1,2,3,0,1,2,1,0,3,0,2,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0
0,0,1,0,1,0,0,3,0,2,0,0,1,0,4,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,1,1,0,0,0,0,0,1,3,3,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,2,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,4,3,1,0,4,3,2,1,2,1,2,0,2,0,0,1,0,10,1,3,1,0,0,2,0,1,1,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,4,1,1,0,0,1,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0
10,13,5,11,1,8,1,3,0,6,1,4,3,0,7,0,0,0,1,0,9,1,0,0,0,2,0,0,1,1,0
4,0,2,2,0,0,1,2,1,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
3,0,2,1,0,0,3,2,1,1,0,1,0,2,0,0,0,0,0,0,1,0,6,0,0,0,0,2,0,0,0
3,5,5,4,1,3,0,2,0,2,1,1,1,3,5,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0
6,24,3,0,0,2,0,0,0,0,0,1,2,1,4,0,1,1,0,3,0,0,0,0,0,0,1,0,0,0,0
4,0,1,1,9,0,0,3,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0
0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,3,4,4,0,2,2,0,4,2,3,0,1,3,2,1,9,0,1,2,3,0,0,2,0,1,0,0,3,0
0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
6,4,2,1,0,2,2,1,2,0,0,0,1,6,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0
5,1,2,1,1,1,1,3,0,2,0,0,2,1,2,3,0,1,1,0,0,0,1,0,0,0,2,0,1,0,0
1,0,1,1,1,0,1,1,2,0,1,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,2,0,0,0,0
0,17,3,2,0,9,0,1,4,2,1,2,1,1,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,0,4,9,1,0,7,1,0,5,0,1,1,0,4,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0
4,8,4,7,1,4,1,1,3,4,0,2,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0
1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
12,0,4,10,1,0,11,3,6,4,4,1,3,0,1,0,0,5,0,0,4,1,0,1,0,1,1,0,0,0,0
24,1,5,5,1,0,6,5,3,2,3,1,4,3,0,0,0,0,0,0,1,1,0,1,1,3,1,0,1,1,0
18,1,3,5,1,0,14,0,0,3,0,2,0,1,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0
2,5,2,4,2,2,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,0,3,5,1,0,3,0,2,2,1,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0
10,2,6,14,4,1,1,2,5,12,2,1,1,1,0,4,3,3,0,0,0,1,0,1,0,0,1,0,0,0,0
1,1,2,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
3,28,6,13,1,15,0,5,7,9,2,3,4,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,1,0,2,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,2,2,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,3,0,2,1,1,2,0,1,0,4,0,1,0,1,1,0,1,1,0,0,0,0,3,0,0,0,0
1,4,2,3,0,2,1,1,1,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
11,13,2,3,0,8,1,1,0,1,1,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0
5,4,3,5,0,2,1,0,3,5,0,1,1,0,1,4,2,1,0,1,0,0,3,1,1,0,0,0,0,0,0
2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0
9,1,4,2,0,1,14,0,1,3,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,4,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,3,0,0,0,1,1,0,0,0,0
15,10,5,7,7,4,0,3,2,2,3,1,0,0,0,6,2,0,0,2,1,2,2,0,1,4,1,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0
4,9,4,5,0,4,0,1,4,5,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,6,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,6,6,0,0,0,0,0,0,0
0,0,1,0,3,0,6,0,1,1,4,0,0,0,0,2,2,3,6,0,0,0,1,14,1,0,2,0,2,7,0
15,20,6,7,4,10,1,5,0,4,1,3,2,0,7,0,0,1,0,0,0,2,0,0,2,2,0,0,3,0,0
1,7,2,2,3,5,0,3,2,2,0,2,2,1,0,5,0,0,0,0,0,1,5,2,2,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,3,0,0,1,0,2,2,1,2,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,3,0,0
1,0,1,0,19,0,0,2,0,0,0,0,0,3,0,0,0,2,1,0,8,0,0,5,2,0,0,1,0,1,0
0,0,1,0,12,0,0,0,0,0,0,0,0,0,0,0,10,1,5,29,0,0,0,0,0,3,0,11,5,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
2,4,2,3,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,2,2,1,4,0,0,1,1,3,0,0,0,0,0,7,0,0,5,0,0,0,0,0,0,2,5,0,0,0
2,0,2,0,0,0,0,0,0,0,0,1,2,2,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,3,0,0,2,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0
5,0,1,0,3,0,2,2,3,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0
0,2,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,5,2,1,1,3,0,1,0,1,0,2,1,0,2,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0
3,0,2,1,2,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0
2,0,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,0,15,1,0,3,0,0,0,1,1,0,2,0,2,1,1,1,3,0,15,5,0,0,0,0,2,0,0
6,5,2,4,4,3,0,1,2,2,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0
0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
1,3,3,4,0,2,0,2,0,2,0,1,1,0,4,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,0
1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,1,1,0,0,0
4,0,2,2,2,0,0,2,1,5,1,0,1,1,0,5,0,0,0,0,2,2,2,0,1,0,1,0,0,0,0
1,6,2,1,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,0,3,2,2,0,0,0,2,3,1,0,1,1,0,1,1,2,0,1,1,0,0,0,1,0,2,2,1,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0
1,1,2,0,2,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
1,0,1,0,3,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,4,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,0,2,0,0,2,0,0
2,0,2,2,0,0,2,0,0,0,0,0,0,0,2,1,0,2,0,0,2,0,0,0,0,1,0,0,0,2,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,2,2,0,3,0,1,2,1,3,0,1,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,1,0,0
2,3,3,3,0,1,2,1,2,1,3,1,1,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0
2,7,3,6,0,4,0,1,0,4,0,1,1,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,0,3,2,5,0,0,3,2,2,0,3,2,2,1,14,0,0,0,0,0,3,10,2,0,0,1,0,0,1,0
0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0
6,2,4,6,2,1,8,3,3,5,2,1,1,4,0,0,0,0,5,0,5,2,0,2,5,0,2,0,0,2,0
0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,2,2,3,1,1,0,2,1,1,0,1,1,1,0,0,0,2,0,0,0,1,2,0,0,0,1,0,1,0,0
1,0,1,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
20,20,4,3,2,3,3,1,1,3,2,3,0,1,3,9,1,0,0,6,0,1,11,2,0,1,0,1,0,0,0
0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,0,2,5,1,0,3,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0
2,0,2,2,0,0,4,3,0,1,1,2,0,0,1,0,0,4,2,0,0,0,2,0,2,1,2,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0
3,0,1,2,5,0,1,0,4,1,9,0,1,6,2,0,2,0,2,2,2,0,1,0,3,0,0,3,1,1,0
0,0,1,3,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
5,13,3,5,2,7,1,1,3,2,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0
13,1,4,0,0,1,0,0,0,0,0,0,1,0,3,1,2,3,0,0,1,0,0,0,0,5,2,0,1,0,0
2,0,2,3,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,4,0,1,0,0,0,2,0,0,0,1,0
0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,5,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0
6,2,2,1,0,2,0,0,0,0,2,0,1,1,2,0,1,0,1,0,1,0,2,0,0,1,2,0,0,0,0
1,0,1,1,3,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,2,0,0,1,2,0,1,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,5,5,3,6,3,3,1,6,1,0,2,1,3,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
1,1,2,0,0,1,2,0,2,0,0,3,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,0,3,1,2,0,8,1,2,1,3,3,0,4,0,0,0,1,0,0,0,1,1,0,0,3,0,1,0,0,0
1,0,2,2,2,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,1,1,0,0,0,0,0,0,0,2,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
1,0,1,0,2,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,1,1,5,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,2,0,0,0,0,2,0,0
0,0,1,2,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,2,3,2,0,1,1,1,1,1,0,1,2,0,0,0,0,0,0,3,0,1,0,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,15,3,7,0,7,3,1,3,4,0,2,2,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0,1,0,0
6,0,5,9,1,0,10,4,0,6,0,2,0,0,4,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0
1,1,2,2,2,1,0,2,0,2,0,2,1,2,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,17,3,0,1,8,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,0,0,1,0,0,0
4,8,4,5,2,4,0,2,3,4,2,2,1,0,0,2,0,0,1,0,0,1,1,2,0,1,1,0,3,0,0
1,7,2,4,5,4,0,0,2,3,6,0,1,2,0,0,2,1,0,3,0,0,0,0,1,0,1,3,0,0,0
4,1,3,5,0,1,1,2,0,2,0,0,1,0,3,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0
3,0,2,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,7,1,0,0,0,0,0
4,0,2,1,1,0,3,1,0,0,0,2,1,2,4,1,1,1,3,1,2,0,1,4,0,0,0,1,1,0,0
35,7,2,2,9,4,2,3,2,1,1,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0
4,0,2,1,1,0,0,2,0,1,0,0,0,0,0,5,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,3,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0
3,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0
0,0,1,1,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0
7,10,3,5,1,5,1,1,6,4,2,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,1,0,0,0
18,9,6,7,6,4,0,2,7,4,0,5,2,0,0,1,0,0,0,0,0,3,1,0,1,0,1,1,0,2,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0
9,16,3,7,0,7,1,1,4,4,1,1,2,0,0,0,0,0,0,3,0,0,3,0,0,0,1,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,1,0,0,0
6,0,1,0,3,0,2,3,3,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
2,0,1,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
7,5,3,5,1,2,0,1,2,3,3,0,1,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0
15,24,7,16,3,12,16,2,0,15,0,3,2,0,14,1,1,0,0,0,12,2,0,2,0,1,3,0,0,0,0
2,0,2,0,6,0,0,3,22,0,4,0,0,7,1,0,26,1,2,1,2,0,0,1,1,0,1,0,3,0,0
2,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
3,2,4,2,0,1,0,3,0,1,1,1,0,0,3,1,3,2,0,0,0,5,1,2,1,0,0,2,0,0,0
36,24,7,4,4,23,0,1,7,3,5,4,5,5,0,5,0,0,0,0,13,4,1,0,0,1,0,0,0,0,0
9,7,3,8,1,4,2,1,4,5,0,3,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
1,3,2,1,1,2,0,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
4,0,3,8,0,0,5,1,3,5,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,3,1,3,0,0,3,0,2,1,1,0,0,6,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,0,2,2,1,0,0,4,6,0,1,2,0,2,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,1,0
0,0,1,1,7,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,3,1,1,1,0,0,0,0,0
1,0,1,0,1,0,0,4,5,0,0,2,0,2,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0
1,0,1,0,4,0,0,0,0,0,5,0,0,2,0,0,0,1,0,1,1,1,0,0,5,1,0,0,2,1,0
0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,2,1,1,0,2,0,2,3,1,0,1,1,0,0,2,0,0,5,0,0,0,0,4,0,0,0,0,1,0,0
0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,3,0,0,0,0,0,0,2,0,0
0,0,2,3,3,0,0,2,1,1,1,1,2,0,0,0,0,0,0,0,2,1,0,1,0,1,1,1,1,0,0
1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
6,6,5,7,3,3,2,3,0,5,0,2,1,0,5,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0
0,2,2,3,3,1,5,2,1,1,3,0,1,1,0,0,2,3,2,0,0,1,0,1,2,0,0,3,1,1,0
1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0
1,3,2,0,0,2,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0
3,0,2,2,2,0,1,2,0,2,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,0,0,0
1,3,3,4,3,2,2,1,0,3,0,1,2,0,6,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0
3,0,1,3,1,0,1,1,14,3,1,0,0,0,3,7,4,1,0,1,0,0,2,5,0,0,0,1,0,0,0
2,3,2,4,3,2,0,0,0,0,5,0,2,2,2,2,0,0,1,0,1,2,5,0,2,2,2,1,1,0,0
5,6,3,1,5,4,0,3,0,1,5,2,0,2,5,0,0,3,1,0,0,1,0,0,0,7,0,1,3,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,2,0,0,1,0,0,0,1,0,3,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
4,0,1,1,1,0,0,0,0,0,1,2,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0
5,0,2,1,2,0,1,1,1,3,3,1,0,1,0,3,0,0,1,1,2,1,0,3,1,0,1,0,0,0,0
2,0,1,0,1,0,0,0,0,2,2,0,0,0,0,3,0,0,1,1,1,1,0,3,1,0,1,0,0,0,0
4,0,1,1,6,0,0,1,1,1,2,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0
0,2,2,2,0,1,0,0,1,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
18,14,6,11,12,5,14,7,17,8,0,3,15,0,0,8,7,2,2,30,1,1,0,9,0,0,0,7,1,0,0
1,2,2,3,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0
3,6,5,8,1,2,3,2,4,4,4,2,1,2,0,1,1,0,1,1,0,2,0,0,1,2,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,2,2,2,0,1,0,1,0,1,0,0,0,0,0,0,3,0,0,1,1,0,0,0,0,0,0,0,2,0
4,5,4,2,1,2,0,0,3,0,1,2,0,0,4,0,0,0,5,0,1,2,1,0,0,1,0,0,2,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
4,0,2,3,2,0,2,0,0,0,3,2,1,0,2,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0
0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
14,0,9,18,2,0,16,4,0,11,1,1,0,1,6,0,3,0,1,0,1,2,7,2,2,1,1,1,0,0,0
0,0,1,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0
4,0,2,1,8,0,0,4,0,0,3,0,2,1,2,0,2,3,0,0,8,0,1,1,1,2,2,3,5,0,0
1,0,1,1,1,0,0,2,2,0,1,4,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,0,2,2,2,0,0,4,1,0,3,1,0,0,0,0,0,3,0,0,0,0,0,0,0,2,3,1,0,0,0
1,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,1,0,1,0
0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,0
1,0,1,3,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0
3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,3,0,0,0,0,1,1,0
6,0,1,0,5,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0
0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0
1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,1,1,0,0,2,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0
2,0,1,1,0,0,1,1,0,1,0,1,0,3,0,3,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0
11,0,5,4,2,0,11,0,0,1,1,2,2,0,8,0,0,0,0,0,1,0,0,0,0,0,2,0,2,1,0
9,12,5,4,1,6,1,4,0,3,2,4,2,1,6,0,1,1,1,0,1,2,0,0,0,1,2,1,0,1,0
0,8,3,4,0,4,0,0,2,3,2,2,0,1,0,0,0,1,1,0,4,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,5,4,0,2,2,0,1,2,0,1,2,1,0,0,0,0,0,0,0,3,2,1,1,3,0,0,0,0,0,0
0,0,2,0,0,0,0,2,0,0,1,0,1,0,0,1,2,0,1,0,1,1,0,0,2,0,1,0,1,1,0
0,2,2,3,8,1,0,2,0,1,0,0,0,1,1,0,0,0,0,0,7,0,0,0,0,0,1,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,2,1,2,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0
1,0,1,2,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
5,4,2,1,0,2,0,3,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0
0,0,1,1,6,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0
5,0,3,10,0,0,4,0,2,4,2,3,3,4,0,2,4,1,0,6,4,3,3,8,1,0,0,7,0,3,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
1,5,2,4,2,3,0,0,0,2,0,0,1,1,2,0,1,0,0,3,1,0,2,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,0,2,2,2,0,1,3,2,3,0,2,1,1,0,2,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0
1,0,3,0,2,0,2,3,0,2,1,0,0,1,2,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0
3,0,2,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,4,0,8,3,0,0,2,0,0,0,8,0,3,0,1,0,1,0,0,2,0,0,0,2,0,2,0
2,0,1,0,1,0,0,1,0,0,1,0,2,4,0,2,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0
2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,4,0,0,0,1,0,0,0,1,1,3,0
0,0,1,0,1,0,2,0,5,0,0,0,7,3,3,2,5,0,1,4,1,0,0,0,1,0,0,3,0,0,0
0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,2,0,0,1,0,0,1,1,2,0,0,0,0,2,0,0
0,4,3,3,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
2,6,6,1,6,3,1,10,4,0,1,1,0,1,0,2,0,1,4,2,0,2,0,5,3,0,2,0,0,6,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,2,1,1,0,1,0,0,0,0,0,0
5,8,5,12,3,5,4,5,6,5,2,0,3,2,0,2,0,0,4,0,0,3,2,0,0,1,1,0,5,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,2,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0
12,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,5,1,1,1,0,0,1,1,1,0,0,1,1,3,0
0,0,1,3,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
9,4,4,10,2,3,4,1,6,6,0,4,2,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0
6,0,1,2,1,0,0,2,0,0,1,2,2,0,0,6,1,1,0,0,2,1,2,1,1,0,2,0,0,0,0
1,3,4,10,3,2,2,1,5,8,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0
14,4,2,2,0,2,0,1,0,1,0,0,0,1,0,0,3,0,1,1,0,0,0,0,1,0,1,3,0,3,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,3,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
5,6,5,7,2,3,2,2,0,5,0,2,1,0,5,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,0,2,0,0,1,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
17,10,3,4,0,3,15,1,8,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,3,0,0,1,0,4,1,5,2,0,0,1,0,0,0,0
9,4,3,4,1,2,0,0,3,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,1,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,3,0,1,0,0,0,0,4,0,2,0,1,0,1,0,0,1,1,0,1,0
0,0,2,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0
5,0,2,0,0,0,0,0,0,0,1,1,1,0,3,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0
1,0,2,3,1,0,3,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0
2,4,3,5,1,2,0,2,2,2,0,2,1,0,0,1,4,0,0,0,0,1,1,0,0,0,1,1,1,0,0
1,1,2,0,4,1,0,2,0,0,3,1,0,2,4,0,0,3,1,0,0,1,0,0,0,7,0,1,2,0,0
3,0,2,0,0,0,4,0,1,0,1,1,0,0,0,1,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,1,1,2,0,0,0,1,0,2,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0
1,0,1,0,6,0,0,1,0,0,1,0,0,4,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0
1,4,2,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,17,2,1,11,10,1,4,14,1,1,1,1,1,1,3,0,0,1,0,4,1,1,0,0,0,0,0,0,0,0
10,8,3,3,0,2,0,0,0,2,1,1,0,0,2,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0
0,0,1,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0
1,0,2,3,0,0,1,1,1,1,0,1,0,0,2,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0
0,0,1,1,2,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,1,0,2,0,1,3,2,1,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0
2,4,3,2,6,1,0,2,2,2,1,3,1,0,0,0,0,0,2,0,0,2,1,0,0,1,1,1,1,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
61,36,2,3,6,23,1,1,0,2,1,1,1,0,3,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0
0,0,1,0,3,0,2,1,0,0,1,0,0,0,3,1,7,0,1,1,0,0,0,0,2,0,0,0,0,0,0
5,0,1,2,2,0,1,0,0,0,0,3,0,2,0,0,0,3,0,0,0,4,0,0,1,3,0,0,0,0,0
9,6,5,5,0,7,1,2,0,2,1,0,3,0,6,1,0,0,0,0,2,1,0,0,1,0,0,1,0,1,0
4,5,4,6,1,2,0,0,0,3,1,3,0,0,2,0,0,0,0,5,1,1,1,0,0,1,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,2,6,8,1,1,0,3,0,5,3,2,1,2,5,0,1,2,1,1,3,0,0,1,2,10,1,0,0,0,0
2,4,2,2,2,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0
1,2,4,8,0,1,3,1,7,5,0,1,0,1,0,0,0,0,0,1,3,0,0,3,0,0,0,0,0,0,0
0,0,1,0,2,0,7,6,5,0,0,0,0,2,0,3,6,0,3,0,0,0,0,0,2,0,0,3,0,0,0
6,1,2,1,2,1,1,3,3,1,0,2,2,3,0,5,0,0,0,0,0,3,4,2,1,0,1,0,0,0,0
1,0,2,1,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
6,2,3,0,3,0,0,3,0,0,0,0,2,2,3,0,0,2,0,0,2,1,0,0,0,1,0,0,2,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
2,0,2,2,2,0,0,2,1,3,1,3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0
0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
3,2,3,3,2,1,2,0,1,1,1,1,1,1,3,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,4,2,1,2,2,0,0,2,1,3,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
2,0,1,2,3,0,0,1,0,2,0,0,1,1,0,7,0,0,0,0,0,1,3,1,0,0,1,0,0,0,0
4,0,1,0,2,0,2,1,13,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,1,3,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,2,1,0,2,4,1,2,4,0,0
0,12,4,8,0,5,0,0,3,4,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,1,1,2,1,0
0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0
5,6,6,8,7,3,1,8,8,4,4,2,3,4,13,0,0,1,2,0,1,1,0,2,1,0,3,0,1,0,0
2,0,2,1,1,0,2,0,1,0,0,3,0,1,4,2,0,1,0,0,0,1,0,1,1,0,2,0,0,1,0
3,4,3,4,0,2,2,1,3,2,4,1,2,2,0,1,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0
4,7,3,0,5,2,0,5,6,0,0,1,3,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,6,3,5,1,3,1,0,0,3,1,0,2,0,4,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0
3,5,8,12,2,3,1,4,2,14,4,6,1,2,0,0,4,4,0,0,14,2,0,9,0,2,0,0,0,1,0
0,15,4,10,2,8,1,2,4,6,0,2,4,2,0,5,0,2,3,0,0,0,0,2,6,0,0,0,1,1,0
1,2,2,3,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,5,2,0,0,3,0,0,2,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,4,8,0,3,1,3,4,5,2,2,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,3,0
0,22,2,3,1,1,0,0,1,1,1,1,0,0,0,3,0,0,0,0,3,0,1,0,0,1,1,0,0,0,0
1,1,2,2,0,1,1,1,0,3,0,2,1,1,2,0,0,0,0,0,2,2,0,0,4,1,0,0,0,0,0
2,16,4,8,0,4,0,1,5,4,0,0,0,2,0,0,1,0,2,6,0,0,0,1,0,1,0,8,1,0,0
2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,0,3,8,0,0,4,1,4,7,1,5,3,1,0,4,0,0,1,0,5,1,5,0,0,0,2,0,1,0,0
0,0,1,1,1,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0
1,0,2,3,0,0,1,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
3,1,2,0,1,1,2,1,0,0,1,0,3,0,2,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,0,2,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,1,2,3,1,0,0,1,1,1,0,0,2,1,0,0,0,0,0,0,4,1,0,0,1,1,0,0,0,0,0
2,4,3,3,4,2,3,1,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0
1,0,2,2,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0
3,10,3,5,0,5,0,3,2,3,5,1,0,0,0,5,0,0,0,1,0,2,1,0,0,1,0,1,1,0,0
0,0,1,1,0,0,0,0,1,0,2,2,0,0,0,0,0,0,1,3,1,0,0,0,0,0,1,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,3,0,2,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0
2,1,3,4,3,0,4,3,0,1,0,3,0,1,1,1,0,0,2,0,1,0,2,0,1,0,0,1,0,1,0
3,1,2,2,2,1,2,0,0,4,2,0,1,0,4,1,0,0,0,0,0,0,0,2,0,2,0,0,2,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,2,0,2,1,0,0,1,1,1,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,0,5,0,3,0,1,0,2,0,0,2,0,0,0,0,3,0,1,0,0,1,0,1,1,4,0,0,0
9,6,4,7,3,4,3,2,0,5,1,3,4,3,5,3,0,1,3,0,4,2,1,0,8,2,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
24,0,12,21,1,0,18,8,11,16,3,10,1,6,0,3,0,3,1,0,1,7,11,1,3,1,1,3,3,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,6,2,3,4,3,0,2,1,1,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,2,0,0
0,0,2,0,15,0,2,3,0,0,0,0,0,1,2,0,43,4,1,1,2,0,0,0,0,0,0,0,0,0,0
13,0,4,11,7,0,8,3,0,12,3,5,2,5,7,5,0,12,0,1,1,9,0,0,4,3,4,0,6,3,0
0,0,4,3,3,0,0,5,0,2,1,3,0,0,3,1,0,0,1,0,0,3,3,1,4,1,2,0,4,0,0
9,17,3,3,1,8,0,0,1,2,1,1,0,2,0,0,1,1,0,0,2,1,0,0,0,1,1,1,0,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
2,3,2,3,0,2,0,0,0,2,1,1,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0
0,4,2,3,1,2,0,2,2,1,1,2,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0
17,0,2,1,14,0,4,9,1,3,5,2,0,1,0,2,0,1,1,4,3,1,1,8,1,0,3,1,1,2,0
14,5,3,3,0,3,1,1,3,2,1,4,3,2,1,1,0,0,1,0,3,2,2,2,0,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
4,6,4,8,0,3,1,0,5,5,1,0,1,0,0,0,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0
2,0,2,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0
7,8,5,7,2,4,1,0,1,4,2,1,1,0,4,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0
7,0,5,9,2,0,7,2,0,5,0,1,0,0,3,0,3,0,1,0,1,1,4,2,2,1,1,1,0,0,0
8,9,5,10,1,6,4,6,0,5,2,3,3,3,7,0,0,0,0,0,0,5,1,1,0,0,0,0,1,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,0,2,1,6,0,0,2,1,1,0,1,1,0,0,0,0,3,0,0,1,0,0,0,0,1,1,2,0,2,0
0,2,2,3,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,1,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
3,18,5,2,0,10,0,2,6,1,1,2,2,0,0,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0
0,2,2,3,1,1,0,1,1,1,1,2,0,1,0,1,0,1,0,0,0,0,4,1,0,0,1,0,0,0,0
1,7,2,3,0,4,0,0,2,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0
5,0,3,4,0,0,5,1,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0
0,4,2,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0
2,0,2,2,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
19,10,4,3,3,4,0,8,0,3,2,1,1,1,4,0,0,3,2,0,0,3,0,0,4,1,1,1,8,0,0
0,13,2,1,0,4,0,1,2,1,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,10,3,5,2,2,0,3,2,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,1,2,0,3,1,1,0,0,0,1,3,2,0,2,0,0,1,0,0,0,2,0,0,0,2,2,1,2,5,0
3,0,1,3,3,0,0,4,1,1,1,1,0,2,0,2,0,0,0,0,8,0,3,1,0,0,0,0,1,1,0
1,0,1,0,3,0,2,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0
65,30,2,1,1,31,0,3,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,2,3,1,1,0,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0
0,0,2,2,0,0,1,2,4,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
2,2,2,2,6,1,0,1,0,1,1,1,0,1,1,4,1,4,0,0,1,1,2,0,1,1,1,0,0,0,0
7,0,1,0,10,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,9,0
19,8,6,11,2,4,1,4,0,8,6,4,2,3,6,4,6,5,2,0,1,2,2,1,1,0,2,1,0,1,0
0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
11,7,2,4,4,4,0,1,2,1,0,2,1,0,0,5,1,1,1,0,0,0,2,2,1,0,0,0,1,0,0
0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,4,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,6,0,3,0,0,0,1,0,2,1,0,1,0,1,0,0,5,0,0,0,0,0,2,1,0,0,0
0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
0,0,1,0,4,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,3,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0
1,0,2,2,0,0,3,1,3,2,0,1,0,0,0,0,1,1,4,1,3,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0
3,0,1,0,5,0,0,1,1,0,0,1,0,0,0,0,0,2,2,0,0,0,2,3,0,0,0,0,0,0,0
2,0,1,1,5,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,2,0,12,3,5,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0
3,0,2,1,1,0,0,3,5,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,0,1,1,4,0,0,0,0,0,0,0,0,2,0,0,0,0,1,5,0,0,0,0,0,0,3,5,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
1,11,3,5,0,6,0,0,3,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,7,4,3,1,4,1,1,0,1,2,1,1,1,4,0,0,3,1,0,3,0,0,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0
10,9,5,2,0,4,0,0,7,2,0,1,3,1,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0
0,3,2,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0
0,0,1,0,2,0,6,5,5,0,0,0,0,2,0,3,0,0,3,0,0,0,0,0,2,0,0,3,0,0,0
8,0,3,1,0,0,7,1,2,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
8,2,4,3,0,1,4,3,0,1,1,2,0,1,3,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,1,1,0,0
9,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,2,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,2,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,13,3,4,1,7,0,0,3,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,10,2,1,2,5,0,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,0,1,0,1,0,3,1,1,1,0,1,0,0,0,9,1,0,0,5,0,1,11,2,0,1,0,1,0,0,0
2,0,2,0,3,0,1,2,1,0,1,1,1,1,0,0,0,3,0,0,7,0,3,1,2,0,2,0,1,0,0
7,3,3,4,1,2,7,1,3,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,1,0,2,2,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,2,1,0,0,0,0,0
1,0,3,0,0,0,1,2,2,0,2,4,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0
1,7,2,2,0,4,0,2,2,0,0,1,1,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,1,3,1,3,3,0,1,2,0,0,0,0,1,2,3,0,1,0,0,0,1,1,2,0,0,0
6,2,3,7,2,1,1,0,2,6,2,1,0,1,0,2,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,4,2,0,3,2,0,0,1,1,1,0,0,0,1,0,1,0,0,0
4,3,2,4,0,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0
4,5,2,2,1,2,0,2,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
1,24,3,4,3,2,0,0,2,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,4,1,0,2,2,0,4,1,3,0,0,0,0,2,0,0,0,1,0,0,2,2,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
2,1,2,0,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,2,0,0,1,2,0,0,1,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
6,3,3,4,2,2,1,1,3,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
50,0,3,1,4,0,11,0,7,0,6,0,1,12,25,0,1,1,2,0,14,3,1,5,3,2,4,6,2,7,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0
7,10,2,1,1,5,0,4,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,5,2,1,4,3,0,4,0,1,1,0,1,0,2,0,0,1,0,0,0,2,0,0,0,1,1,1,1,1,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,1,0,10,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0
0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,1,0,2,5,0,2,0,0,9,0,1,0,0,0,4,8,0,0,0,0,1,0,0,5,2,0,0
27,1,2,0,2,0,4,5,0,0,4,1,2,0,0,0,0,0,1,0,6,1,0,1,0,0,0,1,1,1,0
0,0,1,0,10,0,0,5,4,0,0,0,1,0,0,3,14,1,1,0,0,0,0,0,1,0,0,1,0,0,0
9,0,1,0,16,0,0,2,0,0,0,1,1,0,0,0,1,4,1,0,0,0,2,2,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,2,0,4,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0
0,2,2,3,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,1,2,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,3,1,1,0,0,0,0,0,0,0,0
6,4,3,5,1,2,0,4,0,5,2,2,4,1,3,0,0,0,1,0,3,2,2,1,0,1,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
7,0,2,2,0,0,1,2,2,1,1,4,2,0,0,1,0,3,0,0,0,1,1,1,1,1,1,1,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
4,0,2,1,2,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,2,1,0
1,0,2,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,4,0,2,0,3,2,2,3,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,1,4,2,0,0,1,0,0,0,0
6,0,1,0,3,0,0,0,1,0,3,1,1,1,0,0,2,0,3,0,0,2,0,0,0,0,0,2,2,0,0
4,0,1,0,2,0,2,1,9,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
2,0,1,1,0,0,6,2,0,0,0,1,0,2,0,0,0,0,1,3,1,2,2,0,0,0,1,0,1,1,0
22,55,6,5,7,28,0,1,11,4,0,5,5,0,0,0,0,0,0,0,10,0,4,0,0,0,1,0,0,0,0
1,0,2,4,1,0,2,1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
1,0,1,0,6,0,0,0,0,0,0,2,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0
1,0,2,1,3,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0
7,1,2,1,3,1,1,0,2,0,1,0,2,5,0,5,0,0,1,0,2,0,0,0,0,1,1,2,1,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,6,2,0,0,4,1,1,2,1,0,3,0,2,0,0,1,2,3,0,0,1,1,1,1,0
1,3,3,4,0,1,1,0,2,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
13,12,4,7,3,7,2,4,0,6,1,3,2,0,5,2,0,1,0,0,0,3,2,2,1,0,2,0,1,0,0
1,0,2,3,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0
1,2,2,3,0,1,0,2,1,1,0,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,1,2,1,1,1,1,1,2,0,0,1,1,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,2,3,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0
0,0,1,0,1,0,6,0,8,1,1,0,0,1,0,0,1,2,1,0,0,3,0,0,3,0,0,8,1,1,0
0,0,1,0,1,0,0,1,0,0,2,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,8,0,5,0,5,0,3,0,0,2,11,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,0,0,0,0,0,1,0,0,1,1,1,1,0,0,3,0,0,0,1,1,0,2,1,0,0,0,0
0,0,1,2,3,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0
0,0,1,1,1,0,0,2,3,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,0,0
0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,3,0,4,2,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,1,1,6,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0
1,10,2,2,0,1,0,0,0,1,2,0,1,2,1,6,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0
8,0,1,0,3,0,1,2,4,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0
0,5,2,0,2,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,0,2,1,0,0,0,1,1,1,1,2,0,3,0,5,0,2,1,0,0,2,0,1,1,1,0,1,0,0,0
0,14,4,1,2,8,0,1,0,1,2,3,2,0,0,0,0,1,3,0,0,3,0,0,0,1,0,0,9,0,0
2,1,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
13,4,3,5,0,2,2,1,4,3,0,0,2,0,0,0,0,1,1,0,1,2,1,1,0,1,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,3,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0
1,2,2,0,2,1,1,1,0,0,5,0,1,0,2,0,0,0,2,0,1,2,0,0,1,1,1,1,0,0,0
1,2,2,3,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0
1,2,2,3,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
0,0,3,0,2,0,1,0,6,0,2,1,0,0,0,6,0,1,4,0,6,0,1,3,2,1,0,2,0,0,0
0,0,1,0,2,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,3,0,0,2,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,1,1,0,0,1,1,0,3,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
3,3,2,2,0,2,0,0,8,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,4,9,3,1,5,4,3,5,1,0,0,3,0,0,0,3,0,2,0,1,1,0,0,0,0,1,0,0,0
8,3,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,4,4,1,0,0,0,2,0,0,1,0,2,0,3,3,0,0,1,0,2,0,0,0,0,1,2,4,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
4,2,4,0,2,0,1,1,0,0,3,3,0,2,3,0,0,1,1,2,1,0,0,0,2,1,0,3,0,0,0
0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,3,0,0,1,0,0,1,3,0,0,0,1,0,1,0,0
4,3,2,4,0,2,1,1,0,2,0,1,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0
2,4,2,2,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
6,0,2,2,5,0,0,3,0,0,0,0,2,0,0,3,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0
0,3,5,4,0,2,2,0,5,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,3,4,6,0,5,1,2,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0
1,0,1,1,1,0,0,1,0,1,0,0,2,0,0,3,0,0,0,0,0,1,3,2,1,0,1,0,0,0,0
0,0,1,2,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
4,0,3,5,0,0,5,1,6,3,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
4,6,4,6,0,2,0,1,1,4,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0
2,1,2,2,0,1,2,2,2,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0
3,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,2,0
2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,3,2,2,6,2,0,2,2,2,1,0,0,4,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,1,0,1,0,0,0,0,1,0,0,0
2,9,3,2,12,3,0,1,3,0,0,2,1,1,0,3,0,1,0,0,0,0,1,2,1,1,1,0,1,0,0
3,0,2,1,0,0,1,2,0,1,0,0,0,0,2,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0
2,4,2,2,2,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0
9,0,1,0,2,0,5,0,0,0,2,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,1,2,0
0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
1,2,2,3,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,1,2,1,1,0,1,4,1,2,1,0,0,2,1,1,0,1,3,8,0,0,0,0,1,0,0,2,0,0,0
2,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
7,2,3,2,1,1,2,2,1,1,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0
4,0,3,6,2,0,5,1,2,4,3,1,2,2,0,0,0,1,0,0,3,2,0,0,0,1,0,0,0,0,0
2,0,2,3,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0
10,8,2,1,3,4,1,3,0,1,1,1,1,1,2,0,0,2,0,0,0,0,0,0,2,1,0,0,2,0,0
8,3,3,4,0,2,3,2,0,3,0,1,1,0,4,2,0,0,4,0,0,0,1,1,1,0,0,1,3,3,0
0,1,2,0,0,1,0,1,0,0,1,0,2,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,3,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0
0,0,1,0,4,0,0,2,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0
4,1,1,2,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,2,2,1,0,1,2,1,0,0,0,0
0,0,2,0,3,0,0,0,1,0,3,1,1,0,0,0,0,3,0,0,0,0,0,0,0,2,4,1,0,0,0
2,0,1,0,0,0,0,1,0,1,0,2,1,0,0,1,0,2,0,0,1,0,1,0,1,0,2,0,1,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,2,0,0,0
1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,1,0,0,0
11,8,3,5,3,5,2,2,0,5,1,3,2,0,4,2,0,1,0,0,0,1,2,2,1,0,2,0,0,1,0
8,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,3,7,3,6,0,0,0,4,0,1,1,1,3,0,1,0,0,4,1,0,2,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
1,0,2,2,0,0,1,1,2,3,0,2,0,1,0,0,0,0,3,0,0,2,0,0,1,0,0,0,0,1,0
1,12,4,2,0,5,0,0,5,1,1,1,2,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
13,1,2,0,6,1,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,3,1,0,1,1,0,0,0
0,4,2,1,2,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,3,2,1,2,2,0,1,2,0,1,1,1,0,0,0,0,2,1,0,1,1,1,3,0,0,0,1,0,1,0
2,9,4,8,0,5,1,0,4,6,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,5,2,1,1,2,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
5,0,4,8,2,0,6,1,3,5,4,1,3,2,0,0,0,1,0,0,5,2,0,0,0,1,0,0,0,0,0
7,0,2,2,3,0,3,3,2,2,0,3,3,6,0,9,0,0,0,0,0,3,5,3,0,0,1,0,0,0,0
6,21,3,1,7,11,0,0,5,0,1,5,1,2,0,1,0,1,1,0,0,0,0,1,0,1,0,1,4,1,0
2,7,2,1,1,4,0,4,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0
0,5,3,6,0,4,2,1,0,3,0,0,3,0,6,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0
2,4,3,4,0,3,0,1,4,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,2,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,0,1,0,0,1,2,0,1,0,0,0,0,0,0,1,0,3,0,2,1,0,0,2,0,0
3,0,2,1,2,0,1,2,1,1,3,2,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0
1,0,2,1,3,0,0,0,3,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,0,1,1,2,0,0,1,0,1,0,1,1,0,0,3,0,0,0,0,0,1,2,2,2,0,1,0,0,0,0
0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,0
1,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,2,0,3,0,0,2,1,0,0,0,0,0,0,0
3,0,2,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,1,7,1,0,0,0,0,0
1,2,3,5,0,1,1,1,0,2,1,1,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
16,8,4,10,6,4,3,1,3,6,7,2,1,0,0,3,0,3,0,0,0,3,0,0,5,6,0,0,1,0,0
0,0,2,3,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
33,0,2,1,8,0,0,0,2,0,5,1,4,24,32,1,0,1,3,0,20,1,5,2,42,1,2,0,6,9,0
1,0,2,2,1,0,2,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,3,0,12,6,5,1,1,2,0,1,0,0,0,0,11,0,0,1,0,0,5,0,1,2,1,0,0
1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0
11,7,2,4,3,4,0,2,2,1,0,1,1,0,0,5,1,1,1,0,0,0,2,2,1,0,0,0,2,0,0
0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,2,2,3,1,1,0,2,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,3,0,2,0,0
0,0,1,0,2,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0
0,0,1,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,10,0,0,0,3,0,4,0,2,3,8,1,6,0,1,8,2,0,1,0,5,2,5,4,0,5,0
0,0,1,0,2,0,1,0,6,1,1,0,0,0,0,3,4,2,0,1,0,0,1,4,0,0,0,0,0,0,0
1,0,2,4,2,0,2,0,1,1,3,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
1,2,2,2,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,0,4,1,9,0,4,2,0,0,1,0,2,0,0,0,0,1,2,0,1,0,0,1,0,2,1,4,3,0,0
2,0,1,1,2,0,0,0,0,0,2,0,0,1,0,7,4,0,0,1,2,0,0,0,1,4,0,0,0,0,0
0,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0
0,10,2,3,2,5,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0
2,1,2,0,0,1,0,1,0,0,2,2,1,4,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0
2,0,1,1,10,0,1,1,0,0,1,3,3,1,0,0,0,2,1,4,7,0,0,0,0,1,0,1,2,2,0
0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0
4,0,1,1,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,3,1,0,0
0,0,10,2,0,0,1,0,6,1,4,1,0,4,0,0,4,2,2,1,0,1,0,2,3,0,2,3,0,4,0
4,0,2,0,10,0,0,4,1,0,2,0,1,3,1,1,0,0,2,0,0,3,0,0,1,1,0,0,1,0,0
0,6,2,1,2,2,0,2,1,0,3,1,0,2,0,1,0,0,0,0,1,2,0,0,0,1,0,1,1,2,0
2,0,3,2,2,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0
0,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,4,0,0,0,0,0,2,0,0,1,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,7,2,3,0,4,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,18,0,1,6,0,0,0,3,1,1,0,1,0,0,0
0,0,1,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,3,0,0,1,2,1,1,0,0,0,0
3,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0
0,4,2,5,0,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,3,2,1,0,1,0,1,0,1,1,1,4,0,0,0,1,0,0,3,1,0,5,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,3,2,4,0,2,0,0,2,2,1,0,2,0,0,3,0,0,3,0,0,0,2,0,0,0,0,0,1,0,0
0,11,2,4,1,6,0,1,2,1,2,2,1,3,0,0,0,1,0,0,3,2,0,0,0,0,2,0,0,0,0
0,12,2,1,1,6,0,3,1,1,0,1,0,0,0,0,0,2,0,1,0,2,2,0,0,0,1,1,1,0,0
1,4,3,5,0,2,0,0,2,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0
25,4,3,4,2,0,0,1,3,2,1,1,1,1,0,0,4,2,0,0,1,0,0,0,0,1,1,0,1,0,0
4,0,1,2,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,2,4,1,0,1,0,1,2,0,2,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0,1,1,0,0
0,0,1,0,1,0,9,4,0,0,3,0,0,1,1,0,1,1,2,0,0,1,0,5,0,0,0,1,3,5,0
9,7,4,7,0,3,0,2,3,3,0,1,0,1,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0
3,5,3,3,0,3,1,0,3,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,4,1,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,0,0,0,0,0
0,2,2,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
1,18,6,8,0,3,0,0,7,4,0,2,2,0,0,0,2,1,0,0,0,3,0,0,0,1,0,0,0,0,0
1,0,1,0,2,0,0,4,0,0,0,2,1,0,4,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0
6,6,5,7,3,3,2,3,0,5,0,2,1,0,5,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0
48,18,4,1,1,10,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,2,1,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,0,0,0,0,0,0
6,0,4,9,2,0,7,0,0,5,4,1,2,1,3,1,6,4,0,12,0,0,0,1,0,1,0,1,0,2,0
1,0,1,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,1,2,2,0,0,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0
0,0,1,1,1,0,0,2,0,0,1,0,0,1,0,1,0,2,1,0,0,1,0,0,0,6,0,0,0,1,0
1,0,2,3,0,0,0,2,0,1,1,2,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0
2,7,3,6,1,4,1,2,3,4,3,1,2,0,0,0,4,0,5,2,0,1,1,0,1,0,1,2,0,0,0
7,9,4,10,3,5,1,0,0,6,3,1,2,3,6,3,0,1,0,2,0,1,3,1,0,1,0,0,2,2,0
1,10,4,8,4,6,1,1,0,6,1,2,4,2,6,0,0,1,0,0,0,1,0,0,3,0,0,0,1,0,0
2,2,2,3,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0
2,2,2,3,0,1,0,1,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,5,2,0,0,3,0,1,2,0,1,1,1,0,0,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0
25,33,4,1,0,17,1,0,0,0,0,0,3,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0
1,0,1,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0
4,1,5,1,2,1,6,2,0,1,6,0,2,1,5,0,0,4,0,0,0,1,0,0,3,0,2,0,2,0,0
1,0,2,4,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,1,1,1,1,0,0,0,0,0,0
5,0,2,2,1,0,2,2,1,0,4,1,1,0,0,0,0,0,0,0,1,2,2,0,1,0,2,0,1,0,0
0,0,2,2,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,3,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,1,0,0,1,0
0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,1,2,0,0,1,0,2,0,1,2,0,2,1,4,0,2,5,0,0,0,1,0,0,0,0,0,0,0
4,0,2,1,2,0,0,0,0,1,0,0,0,8,1,0,2,0,0,4,0,0,0,0,5,0,1,2,2,0,0
0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,9,4,5,4,2,1,3,6,3,1,1,4,0,0,5,0,0,0,0,1,1,1,3,0,2,2,1,0,1,0
1,0,2,0,0,0,2,1,0,0,1,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,1,2,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
9,0,3,4,1,0,3,1,0,2,0,2,2,1,2,2,0,1,2,0,6,1,0,0,8,2,0,0,0,0,0
5,0,2,0,5,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,0,2,0
1,1,2,3,1,1,3,0,2,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
4,0,2,1,1,0,1,1,2,0,2,1,1,1,0,0,0,2,1,0,0,0,0,0,0,2,0,0,1,0,0
0,0,1,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0
14,0,4,2,7,0,3,3,3,2,1,2,2,3,0,8,0,0,5,0,1,4,8,2,1,0,2,0,1,0,0
3,0,1,0,1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,3,0,0,1,0,2,2,1,2,1,1,0,0,0,1,1,2,1,0,0,0,0,0,0,3,0,0
0,0,1,0,2,0,2,2,4,0,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
1,0,1,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,2,0,0,0,0,0,1,2,0,0,0
6,0,3,5,2,0,8,2,0,6,0,2,1,0,5,0,0,0,0,0,6,2,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0
1,2,2,2,0,1,0,0,1,1,2,1,0,1,0,0,0,0,1,0,6,0,0,0,0,0,0,0,2,0,0
0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0
10,7,4,1,2,3,1,1,0,0,0,3,0,0,3,1,0,0,0,0,0,1,2,0,1,1,0,0,2,0,0
2,0,3,3,2,0,1,2,0,0,0,2,0,0,2,0,0,2,0,0,1,2,0,0,1,2,1,1,0,3,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,2,2,1,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0
2,1,2,3,0,1,1,2,2,2,1,0,2,0,0,0,4,0,3,2,0,1,1,0,1,0,1,2,0,0,0
17,1,4,3,1,0,6,5,2,1,2,1,4,3,0,0,0,0,0,0,1,1,0,1,1,2,1,0,1,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,2,2,3,1,1,0,0,1,1,1,0,0,1,0,0,0,2,0,0,3,0,0,0,0,1,1,1,0,0,0
13,1,2,0,4,1,1,3,0,0,0,1,3,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
5,0,2,2,0,0,1,0,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,2,0,0,1,0
0,0,2,0,3,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,4,2,0,1,0,0,0,0,0,0,0
1,1,2,0,2,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0
11,36,4,1,2,13,0,1,3,0,2,0,3,3,0,0,7,1,1,9,0,2,0,0,0,0,1,16,5,0,0
0,0,2,1,0,0,1,0,1,0,3,0,0,0,0,0,7,0,2,8,0,0,0,0,3,0,0,1,0,0,0
6,1,2,1,5,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0
2,2,2,2,6,1,0,1,0,1,1,1,0,1,1,4,1,4,0,0,1,1,2,0,1,1,1,0,0,0,0
0,2,2,2,2,1,7,1,1,2,0,0,0,1,0,0,0,3,1,0,0,0,0,0,0,1,2,0,0,0,0
0,39,2,0,0,5,4,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,1,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0
3,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0
6,0,2,2,2,0,0,1,0,1,2,3,5,1,0,3,1,4,0,7,1,2,1,3,2,0,0,1,0,0,0
0,0,1,0,0,0,1,0,0,0,6,0,0,2,0,1,0,1,1,1,0,1,0,0,0,0,1,4,0,0,0
0,0,1,0,9,0,2,0,2,0,4,0,0,4,1,2,33,0,1,13,0,0,0,0,2,0,1,2,5,0,0
3,6,3,6,0,2,0,2,2,3,1,2,0,0,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0,0,0
1,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,3,5,0,0,3,0,0,3,0,0,0,0,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0
0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,1,0,0,2,1,2,0,1,1,1,0,0,0,0,0,0,4,1,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,5,1,0,0,0,0,0,0,3,2,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0
1,0,2,3,0,0,0,1,2,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
12,0,3,1,10,0,4,4,0,1,3,4,1,3,2,6,0,1,1,0,0,3,6,1,1,0,1,0,0,0,0
9,5,3,6,2,2,0,2,0,3,0,3,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0
2,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
8,11,5,1,1,6,0,2,0,0,3,2,1,1,5,0,0,3,0,1,0,0,0,0,0,1,2,1,1,0,0
0,1,2,2,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,1,3,0,0,1,4,1,5,1,2,2,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0
2,7,2,0,0,4,0,1,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,0,1,0,2,0,0,1,0,0,2,0,0,0,1,0,5,0,0,0,0,0,1,0,0,1,2,0,0,2,0
3,0,2,1,0,0,0,0,1,1,0,4,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0
2,21,3,1,3,6,0,1,3,1,3,0,3,1,0,0,0,0,1,1,0,0,1,0,1,0,0,11,1,0,0
0,0,2,2,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,1,3,0,1,4,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,5,2,0,0,1,1,2,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
163,77,3,5,3,45,0,2,3,3,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
1,0,1,0,4,0,0,2,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,1,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0
6,13,8,10,3,10,6,2,8,6,8,5,3,0,0,3,9,4,1,0,10,5,2,0,2,4,1,0,3,0,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,1,2,2,1,1,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
24,172,5,5,9,96,0,3,0,4,3,5,4,0,0,1,0,2,1,0,0,1,1,0,1,0,2,1,0,0,0
3,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,7,0,0,0,0,0,1,0,0,0,0,0,1,0,0,7,0,2,0,0,0,1,0,0,1,2,0
1,1,2,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
4,5,2,4,0,3,0,1,2,2,0,2,1,0,0,0,1,0,0,0,0,1,3,0,0,0,1,1,0,0,0
1,1,2,4,2,1,1,1,2,2,0,0,1,0,3,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
4,7,3,4,0,4,1,2,0,3,0,0,1,0,3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0
0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,19,9,7,0,11,0,0,2,3,6,1,3,0,3,13,0,0,1,0,0,0,7,0,0,2,0,0,2,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
20,19,3,0,5,11,1,2,4,0,2,0,2,0,0,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0
8,8,4,0,0,4,0,2,0,0,3,2,0,1,3,0,0,3,0,1,0,0,0,0,0,1,1,1,1,0,0
8,4,4,13,0,3,3,0,0,7,3,2,3,0,5,1,1,3,1,0,4,0,0,4,0,2,4,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,14,3,4,0,6,0,2,2,4,0,1,0,0,0,2,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,3,0,1,0,0,0,2,0,1,0,0,3,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0
0,2,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,1,0,8,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,5,0,0,0,0,1,2,0
2,2,3,6,0,2,2,1,0,5,0,2,1,0,3,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,0
2,2,5,1,0,8,0,3,4,0,2,2,1,2,0,3,0,2,1,0,0,4,4,2,0,0,4,1,1,0,0
5,6,3,0,0,0,0,2,1,0,3,1,0,0,0,6,1,2,4,1,0,2,8,2,1,1,0,0,0,2,0
4,0,1,4,0,0,0,2,0,2,0,1,1,0,0,2,0,0,0,9,0,2,0,1,0,0,2,2,0,1,0
1,0,1,1,4,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,1,0
11,0,1,0,2,0,4,0,0,0,1,0,1,0,4,0,12,1,2,3,0,0,2,1,0,0,0,1,0,5,0
2,1,2,2,2,1,3,0,0,0,0,0,1,0,4,4,0,1,1,0,0,1,1,8,0,0,1,0,0,0,0
0,3,2,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
2,0,3,4,0,0,3,0,0,3,1,0,0,0,2,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0
8,0,1,4,10,0,1,2,0,0,2,5,2,1,0,0,0,5,0,0,0,0,0,1,2,3,1,0,3,1,0
23,0,1,2,2,0,2,1,0,1,1,3,0,0,1,0,0,0,2,0,0,2,0,1,1,1,0,0,0,0,0
0,5,2,5,0,3,2,2,0,2,1,1,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
4,10,2,1,1,5,0,0,1,1,7,1,0,0,0,0,1,0,0,6,0,0,0,0,0,2,1,2,1,0,0
6,0,1,2,8,0,1,2,0,0,1,3,1,1,0,0,0,3,0,0,0,0,0,1,2,3,1,1,3,1,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,1,5,1,0,0,1,0,0,0,0
5,0,1,0,2,0,0,0,1,0,4,2,1,0,0,1,0,1,2,0,0,1,5,3,0,0,3,0,1,0,0
0,0,1,0,0,0,2,0,3,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0
1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,3,2,1,0,0,0,1,2,0,1,1,1,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,1,0,1,0,1,0,0,3,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
4,0,2,4,0,0,6,3,0,3,0,0,0,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0
1,10,2,1,4,1,0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,3,1,0,2,3,0,2,3,0,0
0,0,1,1,13,0,0,1,0,0,3,0,1,2,0,0,0,1,2,1,0,1,1,1,0,2,0,1,2,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0
7,7,3,3,0,4,0,1,0,3,1,2,2,0,5,2,1,0,0,0,0,1,2,0,0,1,0,0,2,0,0
5,0,4,8,0,0,6,3,0,6,0,2,4,0,13,0,4,0,2,3,0,2,0,5,0,0,2,2,0,1,0
0,0,1,2,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,4,1,1,0,0,1,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
14,19,3,3,1,10,0,2,3,2,0,2,1,0,0,0,0,1,0,0,5,2,0,0,0,1,1,0,0,0,0
0,0,3,1,0,0,0,1,2,0,2,1,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0
2,1,2,3,0,1,2,0,2,2,1,0,2,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0
2,48,4,6,2,13,2,1,3,4,3,0,0,1,0,0,0,0,2,0,1,0,0,1,0,3,1,0,1,1,0
5,0,1,3,2,0,1,2,0,0,0,1,0,1,1,0,2,0,0,0,1,1,0,0,0,2,1,1,0,2,0
0,2,2,3,0,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
9,0,3,4,1,0,3,1,0,2,0,2,2,1,2,2,0,1,2,0,6,1,0,0,8,2,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
14,18,3,7,0,12,0,4,4,5,0,2,2,1,0,0,0,0,2,0,1,2,0,0,1,1,0,0,1,0,0
3,0,1,0,0,0,2,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,6,2,3,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,1,0,39,2,6,0,0,0,0,0,0,2,8,1,2,4,0,0,0,0,1,0,0,3,0,2,0
1,0,1,2,0,0,2,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0
0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,1,0,1,0,0,3,1,2,0,0,0,0,0,0,0,0
0,0,2,1,2,0,0,3,2,1,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0
1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,2,0,0,0,0,0,1,2,0,2,0,1,0,1,0,0
2,1,2,1,0,1,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,1,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,1,2,2,2,1,2,1,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,1,0,0,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,3,2,4,0,1,0,2,2,1,8,2,9,2,0,0,8,0,0,16,1,2,0,5,0,0,0,6,1,1,0
0,0,2,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,3,2,3,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0
2,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,6,0,3,0,0,0,0,6,0,0,0,1,0,3,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
34,0,3,1,3,0,5,1,3,1,1,3,2,1,0,0,0,0,1,0,6,3,2,0,2,0,1,0,3,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
26,39,6,2,1,11,0,2,6,2,1,0,1,0,0,0,0,2,0,3,0,0,0,0,0,7,0,4,0,0,0
1,0,1,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,1,0
4,7,2,1,0,3,0,0,1,1,1,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,2,0,0,2,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,10,2,3,1,5,0,1,1,1,0,1,0,3,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0
4,4,3,2,1,2,0,0,4,2,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,15,3,7,0,3,0,0,4,4,0,0,1,3,0,1,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0
4,2,4,0,2,0,1,1,0,0,3,3,0,2,3,0,0,1,1,2,1,0,0,0,2,1,0,3,0,0,0
1,0,2,2,0,0,2,1,0,2,0,2,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0
4,10,4,2,1,0,1,1,5,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
6,0,6,11,2,0,8,1,4,6,4,1,5,2,0,0,0,1,0,0,7,2,0,0,0,1,0,0,0,0,0
0,0,2,0,2,0,0,9,2,0,0,0,0,0,0,1,1,0,3,2,0,0,0,4,3,0,1,0,0,6,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,0,0,0,1,1,1,1,2,3,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0
0,3,3,4,1,2,2,2,0,2,0,0,1,1,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,2,4,1,0,0,0,0,3,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
4,0,1,1,1,0,1,2,1,1,0,2,3,5,0,8,0,0,0,0,0,3,4,3,0,0,1,0,0,0,0
0,5,2,4,0,3,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
2,5,3,0,0,3,0,1,3,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,2,1,1,0,0,0
2,3,2,2,4,1,0,0,0,1,2,0,0,2,0,0,0,2,0,0,1,0,0,1,1,2,1,0,2,0,0
0,0,2,0,0,0,2,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0
0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
5,0,4,5,4,0,5,7,1,3,4,1,0,0,8,0,0,0,1,0,1,0,2,0,3,4,4,1,1,0,0
2,1,2,0,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,6,1,0,0,1,0,0,0,2,3,2,0,1,0,0,0,0,0,1,0,0,2,0,0,0
3,6,2,0,0,3,0,2,1,0,1,1,0,3,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0
1,0,1,0,2,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,3,2,0,4,2,2,3,2,0,2,2,1,1,0,0,0,0,1,0,0,3,0,2,1,8,1,0,5,0,0
1,0,1,1,2,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0
1,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
4,10,2,1,1,5,0,1,1,1,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0
1,2,2,3,1,1,0,3,0,1,0,1,0,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
3,0,2,1,2,0,0,1,0,0,2,2,1,0,0,0,2,4,0,1,2,0,1,0,0,0,4,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
10,3,1,1,2,0,10,4,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,2,2,1,0,0,3,0,1,3,0,1,1,1,0,1,1,0,1,0,0,0,1,1,5,0,0,0,0,0
0,0,1,0,2,0,0,1,3,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,0,6,2,13,0,0,1,4,0,3,5,0,2,3,7,16,4,1,9,0,3,0,2,0,2,5,1,2,5,0
9,17,3,2,0,8,0,0,1,2,0,2,0,2,0,0,1,1,0,0,3,1,0,0,0,1,2,1,0,0,0
4,2,2,4,1,1,1,1,1,2,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,3,4,3,0,2,3,3,4,1,2,0,2,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0
4,8,3,7,1,5,1,2,4,4,1,1,3,1,0,0,0,2,0,2,0,1,0,0,0,0,1,1,0,1,0
1,0,2,0,4,0,1,2,3,0,0,0,1,0,0,0,3,2,1,0,0,0,0,15,0,0,0,3,1,6,0
1,0,2,3,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
2,3,4,8,1,2,0,1,0,5,1,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,10,0,0,0,0,0,1,0,1,3,0,0,1,0,0,0,0,1,0,0,1,0,0,3,0,0,0
0,12,3,5,1,4,0,1,3,3,1,1,0,0,0,0,0,0,0,5,0,0,0,0,2,3,0,0,0,0,0
1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0
2,0,2,1,1,0,1,1,1,0,3,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0
6,0,1,0,7,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,3,0
1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,3,2,1,1,1,1,0,0,0,1,0
0,0,1,2,0,0,0,1,0,0,2,1,0,1,0,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0
4,0,1,0,2,0,2,1,14,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
3,2,2,3,1,1,0,1,1,1,2,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
5,21,4,9,3,10,0,0,3,6,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,2,1,1,0,0
1,5,2,0,1,43,1,1,2,0,0,3,2,0,0,0,0,0,0,0,4,0,0,2,0,0,2,0,3,1,0
11,0,2,1,6,0,0,2,1,0,1,0,0,0,0,0,0,2,1,0,0,1,1,19,0,0,0,0,1,4,0
2,0,2,2,0,0,2,0,0,0,0,0,0,0,2,1,0,2,0,0,2,0,0,0,0,1,0,0,0,2,0
4,2,2,3,2,1,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0
2,10,4,7,0,5,0,1,3,4,2,2,0,1,0,0,0,0,1,0,8,0,1,0,0,1,1,0,2,0,0
0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,3,1,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,4,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0
2,0,2,5,0,0,2,1,2,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,1,0,6,0,0,2,1,0,2,0,0,3,1,0,0,0,1,0,0,0,1,0,4,0,0,0,2,0,0
0,0,1,0,5,0,2,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,0,0,2,0,0,3,0,0,0
0,0,1,0,12,0,0,0,0,0,5,0,0,7,0,0,5,0,1,4,0,0,2,0,4,5,3,3,2,0,0
11,1,2,0,5,1,1,0,0,0,2,3,3,0,2,0,0,1,0,0,0,2,1,0,0,2,2,1,2,6,0
7,0,3,7,3,0,2,1,0,3,0,3,0,1,4,0,0,0,0,1,0,1,1,0,0,3,0,2,0,0,0
6,0,1,0,3,0,0,4,1,0,0,0,0,0,0,0,2,0,0,0,5,0,2,1,0,0,0,0,0,0,0
10,0,6,11,3,0,4,3,0,3,5,1,2,2,5,0,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0
1,2,3,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,2,2,1,0,0,0,0,0,2,0,0,0
0,0,2,2,1,0,0,0,1,0,0,1,0,7,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,0
2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,6,3,5,0,2,1,0,2,3,3,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,3,0,0,3,2,0,0
2,1,2,2,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,0
9,9,5,11,2,5,1,2,7,6,1,1,3,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,2,0,0
1,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,5,0,0,0,0,0,2,0
5,3,6,3,2,3,3,3,0,2,0,3,1,1,6,0,0,1,2,0,3,0,4,0,2,0,2,2,0,0,0
14,5,4,1,1,2,0,2,3,1,2,0,2,1,1,0,0,1,4,0,0,0,0,1,0,0,1,0,1,1,0
0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0
0,1,3,2,1,1,1,2,2,1,1,0,1,1,0,7,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0
1,0,2,2,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,1,0,0
4,0,1,2,2,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,2,1,2,0,2,0,1,0,0,0,0
4,11,3,0,1,6,0,1,3,0,1,0,1,2,0,0,0,2,0,0,3,1,0,0,0,0,1,0,0,0,0
1,9,3,7,2,5,0,0,3,4,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0
0,0,1,0,1,0,0,0,1,0,5,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,1,0,2,0,0,1,0,0
0,0,1,2,1,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,2,3,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
14,4,3,1,2,2,1,2,4,0,0,2,2,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,10,0
0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
1,2,2,3,0,1,0,2,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
1,0,2,3,0,0,2,0,2,1,4,1,1,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0
11,0,1,0,2,0,4,3,0,0,5,0,0,4,0,0,0,2,4,0,0,0,1,2,0,0,1,5,0,1,0
8,9,3,5,8,5,3,2,3,5,2,4,2,3,0,9,0,1,0,0,2,3,5,1,0,0,1,0,0,0,0
2,2,2,3,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,5,0,2,0,0,0,1,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0
0,0,1,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
21,3,4,0,2,1,0,2,2,0,2,2,3,0,0,0,0,0,0,1,0,1,0,2,0,3,1,0,0,0,0
3,2,3,7,0,1,2,1,3,4,3,0,2,1,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,2,0
6,0,1,0,7,0,0,3,0,0,0,1,1,0,1,0,0,0,2,0,1,1,2,5,0,0,0,3,2,1,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,1,4,3,0,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0
2,0,2,1,1,0,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,4,0,2,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,3,0,1,4,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,5,2,0,0,1,1,2,0
7,0,2,0,4,0,1,3,2,0,3,2,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0
5,7,3,4,0,3,0,0,1,3,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0
0,0,1,0,13,0,0,1,0,0,0,0,0,1,0,0,3,1,0,5,0,2,3,2,0,2,5,8,3,1,0
0,0,1,0,0,0,0,1,0,0,2,3,0,2,0,3,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0
0,0,1,0,0,0,12,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,18,2,2,1,9,0,3,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0
0,0,1,0,4,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0
2,0,1,1,0,0,0,1,0,0,0,0,0,1,0,4,0,1,0,0,0,2,5,4,0,0,3,0,0,0,0
5,28,6,10,4,15,0,3,7,6,2,2,3,0,0,0,0,0,0,0,3,3,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0
15,12,2,2,1,10,0,1,2,2,0,2,1,5,0,3,0,0,0,0,9,1,1,0,0,0,0,0,0,0,0
3,17,2,1,12,10,1,3,14,1,1,1,1,1,1,3,0,0,1,0,6,0,1,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0
2,0,2,2,0,0,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,0,7,12,2,0,9,1,4,6,4,1,5,2,1,0,0,1,0,0,8,2,0,0,1,1,0,0,0,0,0
6,8,5,10,1,3,0,1,0,5,0,4,0,0,4,0,0,0,0,0,1,0,1,0,0,3,2,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
14,2,10,21,4,1,1,2,9,16,5,1,1,1,0,6,3,3,0,0,0,1,0,1,0,1,1,0,0,0,0
5,9,4,6,0,5,3,0,0,4,0,3,1,0,4,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0
5,4,2,1,0,2,0,4,1,1,0,1,0,1,0,2,0,1,0,0,4,1,2,0,0,1,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,4,2,1,0,0,1,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,2,2,3,1,0,0,1,1,0,1,0,0,0,0,0,3,0,0,0,2,1,0,2,4,1,2,4,0,0
5,0,1,0,3,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0
7,3,2,0,0,0,0,2,2,0,1,0,1,0,0,6,0,0,1,1,0,0,7,2,0,1,0,0,0,0,0
0,0,1,0,3,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0
0,0,1,1,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
7,2,2,2,0,1,0,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,2,3,0,0,2,1,2,1,3,1,1,0,0,1,9,0,3,11,0,0,0,0,4,1,0,1,1,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,11,4,3,1,6,1,0,0,2,0,1,1,0,4,0,1,1,2,0,0,1,2,2,2,0,0,2,0,2,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,4,4,2,0,0,2,3,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,2,1,0,0,0
0,1,2,1,0,1,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
15,9,5,12,1,2,0,2,6,5,6,1,5,0,0,4,3,0,1,0,1,1,2,0,0,3,4,2,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0
1,10,4,7,0,7,2,2,0,4,0,1,4,0,8,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
1,1,2,1,0,1,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
10,15,2,0,0,8,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,0,4,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0
2,5,2,1,2,3,0,0,0,1,2,1,1,0,0,2,0,0,5,0,0,1,0,4,0,0,0,0,3,0,0
10,0,4,4,0,0,12,1,4,5,0,1,1,1,0,1,0,2,0,0,0,1,0,0,0,2,0,0,0,2,0
3,1,2,1,0,1,0,0,0,0,0,1,2,0,4,2,0,4,0,0,0,1,1,1,2,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,1,3,2,0,1,2,0,1,0,2,1,1,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,0
1,2,2,3,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,2,1,0,0
0,6,2,3,0,3,0,2,0,1,0,1,0,4,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0
0,0,1,2,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
13,9,3,6,0,4,0,0,2,3,1,2,0,1,0,0,1,0,0,0,0,1,0,0,0,2,1,0,1,0,0
12,5,5,3,0,3,3,1,6,1,2,5,3,0,0,6,2,0,2,0,1,2,0,2,0,2,1,1,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0
2,4,3,4,0,3,0,0,0,2,3,1,1,1,3,0,0,0,0,1,1,1,2,0,0,1,1,3,0,0,0
5,1,2,2,0,0,1,1,2,2,0,1,1,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0
1,2,2,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,1,0,5,0,0,1,0,0,0,0,0,1,7,0,0,1,4,0,0,0,1,3,1,1,0,0,0,3,0
0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
1,9,3,4,6,5,0,2,3,4,1,0,0,4,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
7,1,2,0,3,1,1,4,0,0,0,2,3,2,2,2,0,4,0,0,0,4,0,1,0,1,1,0,0,4,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0
1,3,5,13,4,2,3,1,6,11,0,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0
0,0,1,0,1,0,0,3,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0
4,25,2,0,1,13,0,3,2,0,0,2,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,10,2,2,4,5,0,2,1,1,1,2,0,2,0,0,0,0,0,0,0,3,0,0,0,0,1,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,0,2,0,1,0,0,1,1,0,1,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,1,0,0,2,0,0,0,1,0,0,1,0,0,2,0,0,1,2,0,0,1,1,1,1,0,3,0
0,0,1,0,2,0,9,6,6,0,0,0,0,0,0,2,2,1,3,2,0,0,0,0,2,0,0,4,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,3,1,0,0,1,0,0,0,0
2,0,1,2,0,0,2,1,0,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0
9,6,4,7,3,4,3,2,0,5,1,3,4,3,5,3,0,1,3,0,4,2,1,0,8,2,0,0,0,0,0
0,4,2,2,3,0,0,1,1,0,0,1,0,0,0,0,0,1,3,0,0,0,0,0,1,0,0,0,1,1,0
3,11,3,3,0,6,0,2,3,2,1,1,1,3,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0
0,1,3,2,8,1,1,3,2,1,0,0,1,0,6,0,8,0,2,1,1,0,0,0,0,0,0,0,0,3,0
0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,0,0,1,2,1,0,0,6,0,0,0,0,4,0,0,4,0,0,1,1,0,2,3,1,0,3,1,0
5,2,2,1,3,1,1,4,1,0,2,0,1,3,0,0,0,0,0,0,4,1,1,0,0,6,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
7,2,2,2,0,1,0,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
7,5,5,7,0,2,2,0,6,4,0,2,2,0,0,3,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0
0,0,1,0,13,0,0,1,0,0,3,0,0,0,0,0,0,0,1,9,0,0,2,0,0,0,7,1,0,0,0
0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,16,0,1,3,1,0,1,0,2,1,0,1,8,2,0,1,0,0,4,4,0,0,2,1,1,2,0
0,5,2,1,1,3,0,0,0,1,4,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,3,0,0
7,5,3,5,2,2,0,0,0,3,1,1,0,0,0,0,0,0,0,0,6,0,2,0,0,0,1,0,0,0,0
0,0,1,0,4,0,8,5,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,5,2,2,0,3,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,0,3,3,1,0,3,1,2,3,0,1,0,0,0,0,0,0,0,0,0,0,2,3,1,0,1,0,0,0,0
1,38,9,15,2,6,0,0,10,8,2,3,2,0,0,0,2,1,0,0,0,3,0,0,0,4,0,0,2,0,0
4,1,2,3,2,1,1,2,0,2,1,1,1,1,3,0,5,2,0,0,0,1,1,8,1,1,1,0,0,2,0
4,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,1,2,4,2,1,4,0,2,1,0,0,1,0,0,1,1,2,1,0,0,0,0,0,1,1,3,0,0,0,0
0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0
35,8,15,28,2,4,19,8,17,21,5,9,4,6,0,1,1,4,1,0,1,6,9,1,4,2,3,2,3,2,0
13,4,3,2,1,2,1,2,3,1,0,2,1,3,0,0,0,0,2,0,1,0,0,0,0,0,0,2,1,0,0
0,2,3,6,0,2,1,3,3,3,2,2,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,3,0
0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0
2,0,2,2,2,0,3,3,6,2,2,2,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0
9,6,4,5,0,3,2,1,0,3,0,1,1,2,4,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0
13,1,4,4,6,1,18,3,1,2,2,1,2,1,10,1,3,0,0,1,0,2,0,2,5,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0
13,6,7,0,3,0,0,0,0,0,0,1,2,1,6,0,0,2,0,0,3,6,0,1,2,3,1,2,1,0,0
4,0,6,0,2,0,2,3,0,0,2,6,4,2,6,0,0,2,4,0,1,0,2,0,2,1,1,2,0,0,0
2,2,2,3,2,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,4,0,0,2,0,0,0,0
3,3,2,0,1,3,0,1,2,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,0,0,0,0,1,2,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
6,1,5,12,0,1,6,2,5,9,2,1,3,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0
8,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,3,2,2,0,0,4,25,0,0,0,0,1,10,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,1,3,1,2,2,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,1,3,0,2,1,5,1,0,0,3,1,1,1,5,0,0,0,1,8,0,0,0,2,0,0,2,1,0,0,0
0,3,1,1,2,3,0,2,2,1,0,1,1,0,0,3,0,0,4,0,0,0,0,3,1,0,0,0,1,0,0
5,2,6,8,1,1,0,3,0,5,3,2,1,2,5,0,1,2,1,1,3,0,0,1,2,10,1,0,0,0,0
0,0,1,1,1,0,0,2,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0
8,5,2,4,0,2,1,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0
5,7,2,1,1,4,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,1,3,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,1,0
1,2,2,3,0,1,0,0,3,1,3,1,0,0,0,0,0,1,0,0,0,0,2,1,2,0,1,0,1,0,0
10,15,4,6,0,8,0,2,0,4,1,2,4,1,6,1,0,0,0,1,1,1,0,0,1,0,2,0,0,0,0
4,0,2,5,0,0,8,3,0,3,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0
1,1,2,0,0,1,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,4,1,0,0,0,0
5,0,2,4,0,0,2,0,0,0,1,3,0,1,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0
3,3,2,8,1,2,0,0,2,2,2,0,1,1,0,0,0,2,0,0,0,2,3,1,0,0,1,0,0,0,0
6,0,2,1,2,0,1,1,3,0,2,0,1,0,0,1,0,0,2,0,0,2,1,1,1,0,1,0,1,2,0
5,1,2,3,2,1,2,1,3,3,0,1,4,3,0,0,0,1,0,0,0,2,0,0,0,1,1,0,1,1,0
0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,2,0,2,3,1,0,1,1,0,0,2,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
8,6,3,4,1,4,0,4,0,3,0,2,2,0,4,0,0,0,2,0,0,2,0,0,1,0,1,0,1,0,0
3,1,2,2,2,1,1,1,2,3,2,0,1,0,0,3,0,0,1,1,2,2,0,4,1,0,1,0,0,0,0
0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0
0,0,1,0,1,0,2,0,2,0,2,0,2,3,1,0,7,1,1,9,1,0,1,2,2,0,1,7,3,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
137,0,2,0,1,0,0,0,0,0,1,0,1,1,0,0,3,1,0,1,0,0,0,0,1,0,0,0,0,0,0
2,2,3,3,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,5,1,1,1,0,0,1,0,0,0,0,0
28,14,3,1,1,12,0,2,0,1,0,0,2,0,4,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
11,0,1,4,0,0,2,0,0,4,1,3,0,1,0,3,0,0,1,0,3,1,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
3,6,5,8,3,2,0,2,4,6,1,3,1,0,0,0,0,4,0,1,0,0,1,1,1,1,2,0,1,1,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0
3,5,4,0,0,3,4,3,6,0,0,2,6,0,0,0,0,0,2,0,0,2,1,0,0,1,0,0,1,0,0
2,0,1,0,0,0,2,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
7,0,4,6,2,0,2,2,0,1,3,0,1,2,3,0,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,6,3,2,4,4,0,2,0,1,5,3,1,2,6,0,0,3,2,0,0,1,0,0,0,7,0,1,2,0,0
9,0,1,0,0,0,9,1,0,0,14,0,4,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,4,0,0
1,0,2,0,1,0,0,0,2,0,0,2,1,0,0,1,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0
2,0,1,2,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,3,0,1,1,1,0,0,0,0,0
0,0,1,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,5,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0
2,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
13,4,2,2,7,2,0,0,1,1,2,0,0,3,0,4,1,4,1,0,1,0,1,0,1,1,0,0,0,2,0
0,0,1,0,2,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,1,0,0,0,0,0,4,0,3,0,0,1,0,0,1,2,1,7,1,1,2,0,2,0,3,1,3,1,0
2,3,3,4,9,1,0,3,0,2,1,0,1,0,10,5,0,1,0,0,2,1,1,1,1,0,1,0,1,1,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,2,0,0,1,0,0,2,1,0,1,0,0,2,0,0,0,0
1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,4,0,0,2,0,0,1,0,0,0,0
4,9,5,7,1,5,0,0,7,5,1,1,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0
6,6,2,2,0,4,0,0,1,1,0,1,0,0,0,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,3,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,0,1,0,0,0,0,0,3,1,3,0,0,1,0,2,7,0,0,9,0,0,0,1,3,0,0,1,0,0,0
0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
13,1,3,8,5,1,3,1,3,4,7,1,1,0,0,3,0,3,0,0,0,2,0,0,5,6,0,0,1,0,0
5,2,3,0,1,0,0,1,0,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0
5,2,3,6,1,1,1,1,2,3,0,3,0,3,0,1,0,0,0,1,1,0,2,1,0,0,0,0,0,2,0
3,0,2,1,2,0,0,1,0,0,2,2,1,0,0,0,2,4,0,1,2,0,1,0,0,0,4,0,0,1,0
1,4,2,0,2,2,0,0,1,0,5,1,3,7,0,1,1,3,0,4,0,1,0,0,1,0,1,1,2,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
9,0,1,2,1,0,0,0,2,2,2,0,0,2,0,4,2,0,0,0,1,2,4,4,2,2,3,2,7,5,0
1,3,2,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,54,2,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,2,0,0
0,9,2,2,0,6,0,1,4,1,0,1,1,0,0,2,0,0,4,0,0,1,0,3,0,0,0,0,1,0,0
6,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,4,0,0,0,0,0,0,4,0,1,0,1,0,6,0
8,4,5,15,0,3,3,0,0,9,3,2,3,0,6,1,1,3,1,0,5,0,1,4,1,2,4,0,0,0,0
1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0
10,6,2,1,1,3,0,0,1,1,3,1,0,1,0,0,0,0,0,1,0,0,2,0,3,1,1,3,2,0,0
4,0,2,4,1,0,3,0,1,4,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0
0,12,2,1,2,6,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,1,1,0,0
20,0,1,0,10,0,0,2,0,0,1,0,0,0,0,0,15,1,0,0,0,0,2,2,0,0,0,0,0,9,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,9,0,0,0,0,0,0,0,2,0,0,0
0,0,1,1,0,0,0,1,4,0,0,1,1,1,0,0,1,2,1,0,0,0,0,0,3,0,0,4,0,0,0
1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
3,2,2,3,3,1,0,0,1,1,1,1,0,1,0,3,4,1,0,0,0,0,0,1,0,1,2,0,0,0,0
0,9,3,6,1,4,0,2,3,4,1,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
6,0,1,0,10,0,2,0,12,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,4,2,4,0
4,0,1,0,2,0,2,1,27,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
2,0,2,3,2,0,0,3,1,0,0,1,0,0,0,0,0,1,0,7,0,1,0,0,0,0,0,3,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0
1,0,2,1,1,0,39,1,3,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0
2,1,2,4,4,1,4,6,2,3,0,0,6,0,3,0,0,0,3,5,0,0,0,0,0,1,0,7,4,0,0
3,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0
3,0,1,0,0,0,1,0,1,0,1,0,0,2,0,10,0,1,3,0,0,0,2,0,0,0,0,1,0,1,0
1,1,2,2,0,1,2,0,2,4,2,1,1,1,0,2,3,3,0,3,0,0,2,0,0,1,4,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
4,0,1,1,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0
15,19,5,5,2,9,0,0,4,4,1,0,3,0,0,1,0,2,0,0,1,1,0,0,1,1,2,0,4,0,0
1,6,3,6,0,3,0,0,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0
0,0,1,1,2,0,0,1,2,0,2,0,1,0,0,2,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0
0,0,1,1,3,0,0,0,0,0,2,0,2,1,0,1,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,0,2,2,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0
0,0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,1,0,0,2,0,0
1,3,2,3,0,2,0,2,1,1,2,0,0,0,0,0,1,0,0,0,0,1,2,1,0,2,1,0,2,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,3,0,0,0,0,0,1,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
9,7,4,9,3,4,3,2,0,8,0,2,1,0,4,2,0,0,1,0,0,0,1,2,2,0,2,0,0,0,0
5,5,3,7,2,2,0,4,1,2,1,0,1,0,0,6,0,0,0,0,0,1,0,0,1,1,2,0,1,1,0
1,2,2,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,3,4,0,0,3,1,3,1,3,1,1,0,0,1,11,0,4,12,0,0,0,0,5,1,0,1,1,0,0
1,0,5,6,3,0,13,1,10,2,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,3,3,0,0,0,1,1,9,1,12,1,0,0,12,1,2,21,1,2,0,10,0,1,0,10,2,1,0
2,5,2,0,1,3,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,15,2,1,0,4,0,0,2,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0
1,17,3,1,7,4,0,1,3,1,1,1,2,1,0,6,0,0,1,1,1,0,2,2,0,1,0,0,0,0,0
4,5,3,6,0,2,1,0,2,3,0,2,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,5,0,0,1,0,0,2,2,0,1,0,1,0,1,2,0,1,1,1,0,0,2,0,1,1,0,0
0,0,2,0,3,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,3,0,0,0,2,1,0,1,0
2,0,2,1,1,0,0,0,0,1,0,1,0,0,1,0,0,2,5,0,0,1,0,0,1,0,0,0,0,0,0
0,3,2,1,0,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,1,1,0,1,1,0,1,0,0,2,1,0,3,0,0,0,0,0,1,2,1,1,0,1,0,0,0,0
0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,2,1,0,1,2,0,0,0,3,2,0,0,0,0
1,6,2,3,0,1,0,0,3,1,0,0,0,2,0,0,1,0,2,6,0,0,0,1,0,1,0,8,1,0,0
0,0,1,3,0,0,0,1,0,1,1,3,1,0,0,0,0,1,0,0,2,0,0,1,0,1,0,0,0,0,0
1,1,2,2,0,1,0,1,0,2,0,1,1,2,2,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0
1,1,3,2,4,1,17,2,7,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
5,0,2,3,1,0,1,0,5,1,0,0,1,2,0,0,0,0,0,2,0,0,0,3,0,0,1,1,0,2,0
1,2,2,2,1,1,1,3,1,2,2,0,1,1,2,0,0,1,1,8,0,0,0,0,1,0,0,1,0,0,0
0,14,4,1,9,2,0,3,0,1,5,4,2,1,6,1,0,1,1,0,1,2,1,1,0,1,0,0,1,0,0
0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0
3,22,5,13,1,12,0,2,6,7,2,2,2,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,2,0,0
1,0,3,0,3,0,1,2,3,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0
4,3,2,4,1,2,0,0,2,2,0,1,2,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,11,3,2,0,6,0,0,0,1,1,1,1,1,3,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0
0,4,2,4,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,1,4,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
1,0,2,2,0,0,3,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,5,4,4,0,3,8,0,4,2,3,0,2,2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0
10,10,5,1,2,1,1,1,0,1,3,3,0,2,4,0,0,1,3,2,1,0,0,0,2,1,1,3,0,0,0
2,0,2,4,2,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,2,1,0,0,0,1,2,3,4,1,0,5,0,5,0,1,2,0,1,2,1,0,0,0,0,0,0
1,0,1,3,0,0,0,1,0,1,8,1,8,2,0,0,6,0,0,15,1,2,0,5,0,0,0,5,1,1,0
0,0,1,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,3,2,0,0,0,0,1,0,0,0,0
10,3,4,1,0,2,4,3,7,0,0,0,3,1,0,0,0,0,2,1,0,0,0,1,1,0,0,2,0,0,0
4,1,2,2,1,1,2,0,0,1,0,2,3,0,0,0,1,1,2,0,0,2,0,1,0,1,1,1,2,0,0
2,13,4,0,0,8,0,1,0,0,0,0,3,0,11,1,0,0,0,8,0,0,0,0,1,0,0,1,0,0,0
12,2,3,1,2,2,0,1,4,0,2,3,2,1,0,0,0,0,0,0,0,4,0,0,4,4,2,0,0,0,0
1,0,1,3,1,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,2,1,3,2,0,1,2,1,0,0,1,1,0,0,0,1,0,0,4,1,0,0,0,0,0,0,1,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0
0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0
4,0,1,1,2,0,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,0,1,2,2,0,1,1,0,2,0,1,2,1,0,6,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0
10,0,3,1,8,0,3,3,1,3,2,1,4,3,0,8,0,0,0,0,1,3,8,2,1,2,1,0,0,0,0
1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,1,2,2,1,1,0,2,2,2,1,0,4,0,1,0,2,2,1,2,0,0,1,1,1,0,1,0,1,2,0
0,5,2,0,0,3,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,0,2,0,2,1,7,0,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
5,1,3,5,1,0,5,0,0,3,2,1,0,0,2,0,0,1,0,0,0,1,0,1,1,0,0,0,0,2,0
2,4,2,2,2,2,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0
0,0,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,0,1,0,5,0,0,2,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0
2,2,3,5,3,1,0,0,0,3,1,2,0,1,2,0,0,0,0,0,1,1,1,4,1,0,3,0,0,0,0
4,0,1,0,2,0,2,1,24,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,11,5,1,1,6,0,2,0,0,3,2,1,1,5,0,0,3,0,1,0,0,0,0,0,1,2,1,1,0,0
1,1,2,3,2,0,0,1,1,1,1,1,0,1,0,0,1,2,1,0,2,1,0,0,0,1,1,1,0,0,0
0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,0,2,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
3,1,2,1,5,1,2,1,0,0,1,1,3,0,2,1,0,2,0,0,0,1,1,1,0,1,3,0,0,0,0
6,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,4,0,0,1,0,0,0,1,1,1,1,0,0
0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,3,0,0,0,0,0,1,0
0,11,3,5,1,6,0,0,3,4,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,21,5,12,2,11,0,4,5,7,3,3,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0
2,0,2,0,1,0,0,2,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0
2,3,6,9,2,2,1,2,0,11,3,4,1,2,0,0,0,1,0,0,11,2,0,0,0,2,0,0,0,1,0
1,0,2,1,1,0,3,2,0,0,0,0,1,0,2,4,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,6,4,6,1,4,0,1,0,3,1,1,2,1,4,1,1,0,0,0,0,0,0,2,1,0,2,0,0,0,0
3,0,1,0,2,0,1,3,13,2,0,1,0,1,0,0,0,0,0,0,0,0,1,5,6,0,0,0,0,0,0
0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
19,32,2,0,3,16,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,0,7,1,1,0,0,3,0,0,1,1,12,2,7,2,0,1,4,10,0,2,1,0,2,0,3,2,1,0,0
11,12,4,7,1,7,0,2,0,6,0,2,3,0,6,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,1,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0
3,1,4,3,1,1,4,2,4,0,1,1,1,2,0,0,0,1,4,0,7,0,0,0,4,1,1,0,0,2,0
19,22,9,4,2,9,0,2,10,1,1,1,3,3,0,1,1,0,1,6,1,1,4,0,0,5,1,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,3,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,2,2,2,1,1,0,4,2,1,0,3,0,0,0,0,1,1,2,1,0,1,0,1,0,1,1,0,1,2,0
0,0,2,0,0,0,3,4,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0
0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,0
2,0,1,6,1,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,2,3,1,0,0,1,0,0,0,0
0,1,2,1,0,1,0,2,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,3,0,2,2,0,0,2,3,0,0,1,2,0,2,0
6,0,2,1,2,0,0,0,2,1,0,1,3,2,0,1,2,0,0,3,3,1,0,1,0,0,0,1,0,1,0
2,5,2,0,2,2,1,3,2,0,1,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
19,5,8,3,1,6,0,3,11,1,0,0,3,0,0,0,0,1,2,0,1,0,0,0,0,2,0,0,0,0,0
0,14,5,6,3,7,0,0,4,3,1,3,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0
0,0,1,2,0,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,3,2,0,0,1,0,0,0,0
11,4,2,1,0,2,0,1,1,2,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0
11,6,3,6,0,3,0,1,0,3,1,0,1,3,3,1,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0
1,0,2,3,1,0,4,2,1,1,3,0,0,0,0,0,0,1,3,1,6,1,0,1,2,0,1,1,0,4,0
0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,3,4,4,0,2,2,0,4,2,3,0,1,3,2,1,9,0,1,2,3,0,0,2,0,1,0,0,3,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,3,3,6,0,2,0,1,3,3,1,0,1,4,0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,1,0
4,3,3,3,1,2,2,3,3,2,0,1,2,0,0,0,0,0,2,4,0,2,0,0,2,0,0,1,2,0,0
0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0
7,3,3,4,0,2,7,1,3,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,0,1,1,0,0,0,0,0,0,0,2,1,2,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0
2,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,4,0,13,0,0,2,24,0,2,0,1,1,5,0,23,1,3,5,2,1,0,3,3,0,0,0,3,4,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,0
28,0,6,0,11,0,8,0,1,0,4,1,3,3,0,0,0,5,1,0,7,3,0,0,1,1,1,0,7,3,0
2,2,2,2,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
9,0,3,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,7,3,6,1,4,1,2,3,5,0,2,1,0,0,3,0,3,1,0,0,2,3,0,2,0,2,0,1,1,0
4,0,1,0,5,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,1,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,5,2,0,0,0,0,1,0,0,0,0,1,1,0
3,0,2,3,6,0,0,3,1,1,1,2,0,0,0,7,0,1,1,0,0,4,6,0,3,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,7,4,4,1,3,1,1,1,4,3,2,2,0,0,0,1,0,1,0,1,1,3,0,0,0,1,1,0,0,0
0,2,2,3,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0
1,4,2,2,1,2,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,1,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,1,2,0,2,3,1,3,2,1,0,0,0,1,1,0,0,3,0,1,0,1,3,0,0,0,0,0,0
3,4,3,6,4,2,0,1,0,4,0,1,2,1,3,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0
1,1,2,3,4,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0
0,0,2,0,0,0,3,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,3,0,0,0
4,4,2,2,7,2,0,1,0,1,3,2,0,0,1,0,0,0,0,0,0,2,1,0,2,1,0,0,3,0,0
1,2,2,3,1,1,0,3,0,1,0,1,0,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0
2,12,3,3,0,5,1,0,2,2,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0
8,3,2,1,0,2,0,0,4,1,0,2,1,0,0,2,0,1,2,0,1,0,2,1,0,0,0,0,4,0,0
0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,3,4,0,0,1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0
2,6,2,2,2,3,0,0,1,1,3,1,2,1,0,0,0,0,0,0,3,0,0,0,2,0,1,1,0,0,0
6,0,1,0,3,0,3,2,0,4,2,2,0,0,0,0,0,2,4,1,0,0,0,6,0,0,0,3,0,4,0
0,2,2,3,1,1,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
2,0,1,1,6,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0
2,0,1,0,5,0,0,0,0,0,2,0,0,1,0,0,0,4,1,0,1,3,0,0,0,0,0,0,0,0,0
3,0,1,2,3,0,1,1,0,2,0,0,1,0,0,3,0,1,0,0,0,1,3,1,1,0,0,0,2,0,0
1,0,4,0,0,0,0,1,0,1,2,1,0,1,1,3,0,1,0,0,0,0,6,1,0,0,1,3,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,2,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,1,1,0,0
1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,1,1,1,0,2,1,0,0,0,1,0,0,0
4,68,5,9,2,18,2,1,4,6,3,1,0,1,0,0,1,0,2,0,1,0,0,1,0,3,1,0,1,1,0
2,1,2,0,0,1,4,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,1,8,2,0,0,0,1,0,1,0,0,1,2,0
0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,3,3,0,2,0,1,0,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,4,2,3,1,2,0,0,4,2,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0
3,0,3,6,3,0,4,1,2,3,0,1,0,0,0,0,0,0,0,0,2,0,4,0,0,0,1,0,0,0,0
1,0,1,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,0,1,0,11,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0
0,2,2,6,2,1,0,1,1,2,1,2,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0
5,3,2,0,0,2,0,1,0,0,1,0,1,0,2,0,2,1,2,0,0,0,2,0,0,0,0,2,2,0,0
0,2,2,3,2,1,2,2,1,2,1,1,0,0,0,0,6,0,2,7,2,0,0,1,6,0,1,0,0,0,0
0,4,2,3,1,2,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0
1,0,2,3,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,1,1,0,0,1,1,0,0,4,0,0,0,0,0,7,0,0,8,0,0,0,0,3,0,0,1,0,0,0
1,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
3,0,2,5,0,0,5,0,0,3,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,2,2,3,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
9,6,5,13,1,4,4,5,6,8,2,1,3,0,0,2,0,1,0,0,4,2,2,0,0,0,0,0,0,0,0
0,5,2,3,0,3,0,2,3,2,2,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
1,0,2,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
4,0,2,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0
2,7,3,3,1,4,20,0,2,3,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,2,1,0,0,0,1,1,2,1,1,0,0,2,0,4,1,0,1,0,0,2,0,0,0,1,0,0,0
20,11,5,0,3,5,0,3,0,0,2,3,1,0,5,1,0,1,2,0,0,3,0,0,0,0,0,1,3,1,0
3,7,2,3,0,3,1,0,2,2,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0
0,0,1,0,2,0,7,3,0,0,0,0,0,0,3,2,0,0,3,0,1,0,0,0,4,0,0,3,1,0,0
6,2,5,3,1,3,6,2,5,1,7,3,3,0,0,2,8,3,0,0,8,5,0,0,2,4,1,0,3,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0
6,2,2,1,0,1,0,2,0,1,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,0,1,0,2,0,1,0,6,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,9,2,1,0,5,0,1,2,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,0,0,1,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0
1,0,4,2,0,0,7,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
36,84,6,9,2,34,1,5,0,6,1,5,0,1,7,0,1,0,0,1,1,3,2,0,0,0,0,2,0,0,0
5,1,2,3,0,1,5,1,0,2,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,2,2,0,0,1,0,0,2,0,2,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,12,5,4,1,1,1,1,6,2,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,2,3,1,0,1,0,1,0,1,0,1,0,1,2,0,0,1,0,2,2,1,0,0,0,0,0,2,0,0,0
2,0,1,1,3,0,0,1,0,1,0,0,0,1,0,4,0,3,0,0,0,1,4,0,0,0,0,0,0,0,0
0,3,2,0,4,4,0,0,1,0,0,1,1,2,0,1,0,2,1,1,0,0,1,1,1,0,0,0,1,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
5,5,4,4,0,3,1,0,1,3,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,1,2,2,2,1,6,2,0,1,1,2,2,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
4,0,4,0,1,0,1,2,0,0,0,3,2,0,4,0,0,2,2,0,2,0,1,0,1,0,0,1,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,9,2,0,5,5,0,1,2,0,1,1,1,1,0,0,0,5,0,0,0,0,1,0,0,0,0,0,1,0,0
22,29,2,0,1,21,0,0,2,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,0,0,1,0,1,3,0,0,0,1,1,0,0,0,5,2,0,0,0,0,0,0,2,3,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,0,1,1,1,1,0,1,0,4,0,1,0,0,0,0,6,1,1,0,0,0,0,0,0
2,2,2,4,0,2,0,0,0,2,1,1,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,3,4,1,0
0,0,3,2,0,0,2,3,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
28,14,3,3,1,12,0,1,0,3,0,0,2,0,4,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,8,3,1,0,5,0,2,0,1,0,1,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0
9,7,3,6,2,3,0,1,2,3,2,1,0,1,0,4,2,2,0,0,0,1,2,0,0,1,0,0,1,1,0
8,9,4,2,1,5,0,1,2,1,0,1,1,3,2,5,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0
2,8,3,5,3,4,0,3,2,3,0,2,0,2,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,1,0
0,0,1,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
3,4,2,2,0,2,0,1,5,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,1,0,0,4,0,0,1,0,1,1,1,0,0,1,1,2,0,2,3,0,3,1,0,0
1,2,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,4,0,0,1,0,0,1,0,0,1,1,0,0,1,2,0,0,2,1,0,0,2,0,0
1,0,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0
3,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,1,3,0,0,0
4,8,4,1,4,4,0,1,0,0,0,1,3,1,5,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,10,0,0,2,3,0,0,1,1,0,1,3,14,3,4,2,2,0,6,10,2,0,2,2,0,12,0
3,3,2,0,1,2,0,0,0,0,0,0,1,0,2,3,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0
3,7,3,2,1,4,1,4,0,1,1,0,1,0,3,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,2,2,0,1,3,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,5,3,5,1,3,0,1,3,4,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
3,0,1,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,1,1,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0
2,2,3,4,0,1,1,1,2,1,3,1,2,1,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,1,0
6,2,3,13,0,2,1,4,5,8,0,3,2,0,0,4,0,1,0,0,0,4,5,0,0,0,0,0,1,0,0
4,5,3,6,0,2,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,3,2,0,4,2,0,0,5,0,1,0,1,1,0,0,9,0,0,0,0,0,1,2,2,1,1,6,0,5,0
2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,0,2,1,5,0,1,4,1,0,0,0,0,1,0,0,0,0,0,0,2,2,0,1,1,0,1,0,2,1,0
0,2,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,1,1,0,1,0,1,1,2,0,0,1,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0
5,0,1,1,0,0,11,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0
4,3,2,6,4,2,0,1,3,3,0,1,2,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0
2,0,1,1,3,0,0,1,0,1,1,1,1,2,0,3,0,0,1,0,0,0,3,3,0,0,1,0,0,0,0
0,5,2,5,0,3,2,2,0,2,1,1,1,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
5,4,4,7,2,2,0,0,4,3,1,1,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0
3,0,1,0,1,0,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
1,3,2,3,1,2,0,2,0,0,3,1,2,1,2,1,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0
3,0,1,1,0,0,2,0,0,3,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,2,1,1,1,0,0,4,0,0,2,0,0,0,0,1,0,0,0,0,0,0
4,0,1,1,1,0,1,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0
2,2,2,3,0,1,1,1,2,1,3,0,1,1,0,1,0,0,0,0,0,0,1,0,0,3,0,1,0,1,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0
1,0,1,1,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0
2,5,2,2,2,3,0,0,2,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,5,3,6,0,4,2,1,0,3,0,0,3,0,6,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0
2,0,1,0,5,0,1,1,0,0,1,2,2,1,0,1,0,1,0,0,6,0,0,0,0,3,0,2,4,0,0
0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
6,0,1,0,4,0,3,2,2,0,1,0,0,0,0,0,0,0,1,0,2,0,0,3,2,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0
2,22,6,14,8,8,0,2,5,7,6,2,1,3,0,0,2,4,1,2,1,1,4,0,8,1,1,0,0,0,0
0,0,2,2,6,0,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,3,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,2,0,0,2,0,2,3,1,3,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
11,6,4,5,8,4,0,1,4,3,0,0,2,0,0,4,2,2,0,0,4,2,5,0,0,0,0,0,0,0,0
14,14,6,3,3,6,0,0,0,0,4,2,2,0,7,2,0,0,0,1,0,3,3,0,1,3,0,1,3,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,1,2,1,8,4,0,1,2,2,0,1,0,0,0,1,8,5,0,1,0,0,2,2,1,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,4,4,8,5,3,2,1,0,5,1,2,3,0,5,0,0,0,1,0,1,1,0,2,2,0,0,0,0,0,0
9,11,6,1,1,9,1,1,10,1,0,2,5,0,0,2,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0
7,1,4,11,2,1,8,1,4,7,2,2,4,3,0,0,0,1,0,0,3,3,0,0,1,0,0,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,2,0,1,0,0,1,0,1,0
0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,15,2,2,0,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0
1,0,2,3,4,0,0,4,0,1,1,2,1,0,1,0,0,1,3,0,0,2,0,3,1,0,0,2,1,1,0
13,5,3,2,0,2,0,0,0,2,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,3,2,1,0,2,0,1,2,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
18,8,5,9,1,4,1,4,0,6,6,3,2,3,5,4,6,5,2,0,1,2,2,1,1,0,2,1,0,1,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
3,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,1,1,2,4,0,0,1,1,2,0
4,0,2,3,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
10,0,3,3,1,0,3,3,3,3,2,2,2,3,0,5,0,2,0,0,0,2,4,2,0,0,1,0,0,0,0
1,0,1,0,3,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,2,6,8,1,1,5,1,0,4,1,0,0,1,4,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0
0,0,2,1,0,0,0,3,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,2,3,0,1,3,2,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0
1,0,1,0,4,0,23,6,2,0,0,0,2,0,0,0,7,0,2,2,0,1,0,5,0,1,2,1,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,0,1,1,1,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,4,4,9,3,2,0,3,6,4,2,2,2,0,0,0,1,2,2,3,0,4,0,1,1,2,1,0,0,1,0
0,0,1,0,2,0,0,2,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0
2,8,4,1,0,6,0,0,6,0,0,1,4,0,0,2,0,1,1,0,0,1,2,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,4,3,2,5,2,2,1,3,1,0,2,2,1,0,0,0,1,0,0,5,1,0,0,0,0,0,0,2,0,0
3,0,1,1,4,0,0,0,0,1,1,0,3,2,0,0,0,5,0,0,0,0,0,3,1,0,1,0,1,0,0
1,0,1,0,3,0,2,1,0,1,0,1,1,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,2,0
0,0,1,0,14,0,0,0,0,0,1,0,0,1,0,0,1,2,0,4,0,0,0,0,4,1,0,3,0,1,0
13,0,2,1,0,0,0,2,1,0,0,1,1,4,0,0,0,4,2,2,0,1,4,25,0,0,0,0,1,10,0
0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0
1,1,2,3,0,1,2,1,0,3,0,2,1,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0
1,0,2,1,1,0,1,0,1,1,3,1,0,1,0,0,1,0,0,0,3,2,0,0,0,2,1,0,1,0,0
13,2,9,20,4,1,1,2,8,15,5,1,1,1,0,5,3,3,0,0,0,1,0,1,0,1,1,0,0,0,0
1,11,4,4,1,6,0,2,5,2,0,3,2,0,4,0,0,2,1,0,0,2,0,0,2,0,1,0,0,0,0
7,22,5,7,0,10,0,0,4,5,1,0,0,5,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0
1,4,2,2,1,2,0,1,1,1,1,1,0,2,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,2,0,0,1,0,0,0,1,0,1,0,0,2,0,0,0,3,0,3,1,0,7,0,0
8,6,2,2,2,3,0,3,0,1,1,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0
0,0,1,2,2,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,1,2,1,0,0,1,0,1,1,0,0
0,0,1,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,2,0,1,0,2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0
1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,0,2,1,0,0,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
19,20,4,3,2,3,3,1,1,3,2,3,0,1,3,9,1,0,0,6,0,1,11,2,0,1,0,1,0,0,0
5,4,4,3,2,1,2,6,1,4,2,1,0,2,4,1,0,1,3,12,0,2,0,0,1,0,0,2,0,0,0
1,4,2,2,1,2,0,1,3,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
21,0,3,7,8,0,1,2,3,4,1,2,0,3,0,1,10,3,4,3,2,1,0,3,1,0,1,2,2,7,0
9,0,1,1,0,0,0,0,0,0,2,2,0,0,0,2,0,1,0,0,2,1,2,1,2,1,2,1,2,4,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0
23,7,6,0,4,2,0,0,1,0,5,0,2,3,0,1,0,3,0,0,0,2,1,3,1,1,3,0,7,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,3,1,1,0,2,2,1,0,2,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,0,0
0,0,1,0,1,0,1,3,0,1,0,1,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0
6,5,3,2,3,3,1,0,0,1,1,3,2,0,3,0,0,1,0,0,0,2,0,0,0,2,2,1,2,6,0
0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
7,0,4,9,3,0,5,1,3,5,1,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0
9,28,6,8,1,16,0,2,9,7,1,5,4,0,0,2,1,0,0,0,0,1,2,0,0,2,3,0,2,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,0,1,1,3,1,0,0,0,0,1,3,0,0,0,0,1,1,0,1,0,0,0,0,0
2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0
1,1,2,3,1,1,1,1,2,1,1,1,2,1,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
23,9,4,8,6,3,0,1,5,4,0,1,2,1,0,0,0,1,0,2,6,1,0,0,1,0,1,0,1,1,0
4,0,1,0,2,0,2,1,26,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
2,4,2,3,0,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,1,2,5,1,1,0,0,2,3,2,2,2,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0
5,2,2,3,3,1,0,0,0,1,2,1,1,0,1,0,0,2,0,3,1,1,0,1,1,1,0,0,2,0,0
1,12,5,11,2,4,0,0,4,6,3,5,2,2,0,7,2,1,0,3,11,0,4,1,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0
0,0,1,0,4,0,8,7,0,0,0,0,0,1,5,2,1,0,5,5,4,0,0,0,6,0,0,5,1,0,0
0,0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,1,0,0,2,0,0
0,0,3,1,2,0,0,3,0,1,0,1,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
2,17,2,1,15,3,0,0,1,1,6,0,0,1,0,0,11,1,5,43,0,0,0,0,5,6,0,11,5,0,0
2,0,2,1,2,0,3,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,2,1,0,1,0,2,0,0,1,1,1,0,2,0,0,0,0,0,1,1,2,4,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0
0,0,1,0,5,0,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,1,0,1,2,1,1,0,2,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,2,2,0,0,4,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,2,0,0,0,2,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
2,0,2,3,10,0,1,2,1,1,1,4,3,2,0,0,0,3,1,5,8,1,0,0,1,1,0,1,2,2,0
0,0,2,3,2,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0
0,0,2,0,11,0,0,0,1,0,10,0,0,1,15,0,11,0,1,4,4,0,0,0,8,3,0,6,3,1,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
9,0,5,11,6,0,9,5,0,7,6,1,1,4,4,1,1,2,0,1,0,0,1,1,2,10,0,0,0,0,0
2,0,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
1,0,6,4,6,0,7,0,0,1,2,1,3,4,5,3,0,4,0,0,0,2,1,2,3,0,4,1,1,2,0
0,0,1,0,0,0,0,2,2,0,0,0,2,0,1,1,4,2,1,0,0,0,0,5,0,2,0,1,0,0,0
5,0,2,5,2,0,1,0,1,2,3,2,1,0,0,0,0,1,0,0,0,0,0,1,1,4,1,1,0,0,0
1,0,2,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,7,0,1,1,0,0,2,2,0,4,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0
1,0,2,2,0,0,1,3,0,2,0,1,4,0,8,0,4,0,2,3,0,2,0,5,0,0,2,2,0,1,0
2,5,2,3,0,3,1,0,2,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,2,3,5,1,1,1,1,0,2,0,4,1,0,2,1,0,1,0,0,0,0,1,0,2,0,0,0,2,0,0
1,2,2,4,0,1,0,0,1,1,2,0,0,1,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,1,1,1,1,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,2,2,0,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0
3,0,1,0,1,0,0,1,0,0,0,1,0,0,0,2,0,2,0,0,0,1,1,0,0,3,0,0,0,0,0
1,0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
9,0,5,9,0,0,7,1,0,7,1,0,1,2,3,0,0,3,0,0,0,1,0,0,0,1,1,2,1,0,0
9,5,5,12,1,3,4,4,5,7,2,2,2,0,0,2,0,2,0,0,4,2,2,0,0,0,0,0,0,0,0
3,1,3,3,2,1,6,3,6,2,0,2,2,1,0,1,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0
37,13,3,0,6,0,5,1,7,1,2,0,2,5,1,0,17,2,0,7,0,1,0,1,0,4,0,1,0,1,0
0,0,1,2,6,0,0,2,0,0,3,1,0,0,0,4,2,0,0,2,1,2,2,0,1,4,0,0,0,0,0
1,2,2,3,4,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,1,0,4,0,0,2,1,0,0,0,1,0,0,0,0,0,1,0,4,0,0,0,1,0,0,0,0,0,0
0,0,1,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,4,8,2,3,0,0,3,4,3,3,1,2,0,6,2,1,0,3,9,0,4,1,0,0,0,0,0,0,0
2,0,2,2,1,0,1,0,1,2,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
3,0,2,1,5,0,3,3,0,0,1,1,1,0,1,0,0,0,3,0,3,3,0,0,0,1,3,2,1,0,0
1,0,1,1,3,0,0,3,0,0,2,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,3,1,2,2,0,1,4,1,1,1,2,0,0,0,3,0,1,0,1,0,0,0,1,0,0,0,3,0,0
2,0,2,2,0,0,2,0,2,2,1,2,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
3,0,1,0,2,0,1,3,10,1,0,1,0,1,0,0,0,0,0,0,0,0,1,5,7,0,0,0,0,0,0
2,2,2,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,2,0,0,1,2,0,0,2,5,0,3,0
0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,3,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,0,1,0,2,0,2,1,18,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0
3,2,2,1,0,1,0,0,7,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
13,1,2,0,4,1,1,3,0,0,0,1,3,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
1,0,3,3,0,0,2,1,0,1,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,3,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0
1,5,4,8,2,2,5,3,3,5,3,1,0,0,0,0,8,0,2,9,2,0,0,1,7,0,2,0,0,0,0
2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,3,1,0,0,1,1,0,1,0,2,1,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0
9,7,4,9,3,4,3,2,0,8,0,2,1,0,4,2,0,0,1,0,0,0,1,2,2,0,2,0,0,0,0
1,0,1,0,7,0,0,2,0,0,0,1,1,0,0,0,0,3,0,0,1,0,0,0,2,0,0,1,1,0,0
2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
9,0,5,11,6,0,9,4,0,7,6,1,1,4,4,1,1,2,0,1,0,0,1,1,2,10,0,0,0,0,0
7,22,5,7,1,13,0,2,8,6,0,4,4,0,0,2,1,0,0,0,0,1,2,0,0,2,3,0,2,0,0
1,0,1,1,2,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,3,1,1,0,0,0,0,1,0,0,0
0,0,1,0,13,0,0,1,0,0,3,0,0,0,0,0,0,0,1,9,0,0,2,0,0,0,7,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,5,4,3,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,2,0,0,3,0,0,0
10,18,6,6,1,4,0,0,6,2,2,2,2,0,0,5,1,1,0,0,0,1,0,0,1,0,3,0,0,0,0
3,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,3,1,3,0,0,2,0,0,0,0,0,1,0,0,0,0
7,4,4,5,0,2,1,0,3,2,0,2,7,1,0,0,0,0,0,7,0,0,0,0,0,2,1,1,0,0,0
3,8,2,4,2,3,3,0,1,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
5,0,1,0,18,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,5,0
2,5,2,2,1,3,0,2,0,1,2,0,2,0,0,0,0,4,0,0,0,3,0,0,1,0,2,0,1,0,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
0,0,1,0,2,0,0,1,10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,1,0,0
4,9,3,7,1,3,0,2,2,3,0,2,0,0,0,1,0,0,3,13,0,0,3,0,0,1,3,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0
8,3,3,4,0,1,0,2,0,2,0,2,1,0,1,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0
8,1,3,4,0,1,1,2,0,3,0,2,1,0,3,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,2,3,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,4,0,1,0,0,0,2,0,0,0,1,0
0,2,2,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,12,2,1,5,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
6,0,3,1,2,0,1,3,2,1,0,0,1,4,0,5,0,0,0,0,0,3,6,0,0,1,2,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
7,3,3,0,0,2,3,0,5,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,3,2,0,5,0,0,0,1,0,1,0,0,0,1,0
0,0,1,0,0,0,0,2,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
4,0,1,0,2,0,2,1,16,1,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
11,0,3,8,6,0,5,2,0,9,2,3,1,5,5,4,0,7,0,1,1,8,0,0,3,1,4,0,5,3,0
5,2,2,3,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0
2,3,2,0,0,2,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,2,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,6,2,2,1,3,1,1,1,1,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,1,0
2,0,1,1,2,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0
6,2,13,34,4,1,15,8,12,24,3,0,0,4,0,0,0,4,0,2,10,1,1,0,0,0,1,1,0,0,0
0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,3,0,0,3,0,0
4,0,2,3,2,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,6,2,2,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0
2,28,4,3,1,3,0,0,0,3,3,0,0,2,3,9,0,0,0,0,0,0,3,1,0,0,1,2,1,0,0
2,0,1,2,4,0,0,0,0,0,2,2,0,0,0,3,1,4,0,1,1,1,3,0,1,2,1,6,0,1,0
1,2,2,3,0,1,0,2,1,1,1,0,0,2,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0
0,0,3,6,3,0,1,0,3,5,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,1,3,0,0,2,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
4,4,2,2,7,2,0,1,0,1,3,2,0,0,1,0,0,0,0,0,0,2,1,0,2,1,0,0,3,0,0
7,0,2,4,1,0,3,1,1,1,0,1,2,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0
1,22,3,3,2,1,0,1,0,1,2,1,0,0,2,3,3,4,0,0,0,1,3,0,0,0,0,0,1,0,0
42,39,2,1,1,22,0,0,2,1,0,1,2,8,0,0,0,1,0,0,0,1,0,0,1,0,0,0,3,0,0
2,7,2,1,0,3,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
9,1,2,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0
0,0,1,0,3,0,0,3,2,0,0,1,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0
0,0,1,0,1,0,0,2,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0
1,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
8,5,2,1,1,2,0,0,0,0,2,2,1,2,2,2,2,0,3,0,0,0,0,1,0,3,3,0,2,0,0
0,0,2,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0
1,0,2,2,0,0,2,1,3,1,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,1,4,7,8,1,7,1,4,8,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0
18,1,3,5,1,0,14,0,0,3,0,2,0,1,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0
12,22,7,5,0,9,0,0,7,4,3,3,1,1,0,0,1,1,0,4,0,6,4,0,0,1,0,8,2,0,0
6,0,1,0,6,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,16,0,0,0,0,1,3,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,2,0,0,1,2,1,2,1,1,0,2,0,0,1,0,0,5,2,0,0,0,0,0,1,0,0,0,0
0,22,3,5,0,10,0,2,2,3,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,3,1,2,2,3,0,1,7,2,0,1,1,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0
2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0
4,11,4,10,1,6,0,0,4,6,2,2,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0
11,7,3,3,0,3,5,1,0,2,1,0,1,1,5,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,0
0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
9,10,4,0,0,0,2,1,0,0,0,1,1,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0
2,3,3,3,3,2,1,2,3,2,0,1,2,0,1,0,0,0,2,1,0,0,0,1,0,1,2,0,0,0,0
0,0,1,0,2,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,4,0,1,1,2,2,0
0,0,2,0,1,0,1,1,0,0,1,0,0,1,0,5,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0
1,6,2,2,1,2,0,0,1,1,1,0,0,2,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0
20,15,6,17,3,9,3,1,0,11,2,7,4,1,8,0,0,2,1,0,0,1,0,1,0,2,0,0,1,0,0
1,0,1,3,2,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,2,1,2,1,0,0,2,0,0,0,0
14,25,4,5,1,13,0,2,4,4,1,2,1,0,0,0,0,1,0,0,6,2,0,0,0,1,1,0,0,0,0
1,0,1,0,3,0,2,1,0,0,1,0,0,0,4,1,6,0,1,0,0,0,0,0,3,0,0,0,0,2,0
1,0,1,2,9,0,0,1,5,1,0,0,9,0,0,4,7,2,0,29,1,0,0,7,0,0,0,7,0,0,0
6,0,1,0,3,0,0,0,1,0,3,1,1,1,0,0,2,0,3,0,0,2,0,0,0,0,0,2,2,0,0
1,0,2,2,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,4,1,1,1,1,2,3,2,1,2,2,0,0,0,1,0,0,1,3,0,0,1,0,0,0,0,0,0
1,3,2,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,9,2,1,1,5,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,13,5,10,1,8,3,3,8,8,0,2,5,1,0,4,0,2,2,3,0,2,4,0,0,1,2,2,0,0,0
1,0,1,1,0,0,0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0
9,59,2,0,18,17,0,2,10,0,2,0,3,0,0,0,5,0,0,25,0,3,0,0,0,0,4,1,1,0,0
1,28,4,6,3,6,0,3,3,4,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0
5,2,3,0,1,0,0,1,0,0,0,1,0,0,2,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0
5,3,2,4,2,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,2,3,0,0,1,1,0,0,3,1,0
1,0,2,3,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,3,3,1,0,1,1,6,1,1,1,1,0,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0
2,0,2,2,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0
5,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0
1,0,1,2,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,4,0,1,2,0,0,0,0,0,0,0
0,12,3,7,1,6,0,0,3,3,1,2,0,0,0,4,0,1,0,0,0,0,3,0,0,3,0,0,0,0,0
4,1,2,0,3,0,0,0,0,0,4,1,0,0,0,1,0,3,0,0,3,1,3,0,0,5,1,1,2,0,0
8,8,4,1,4,2,0,3,0,1,0,1,2,2,4,0,0,2,0,0,2,1,0,0,0,1,0,0,2,0,0
2,0,2,3,0,0,1,0,4,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0
0,0,1,1,3,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,2,0,0,2,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
11,0,1,0,5,0,1,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0
0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
17,0,4,4,10,0,0,3,1,1,10,0,5,6,0,4,0,11,1,0,12,2,7,1,4,1,2,6,4,0,0
1,0,1,1,2,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0
0,0,1,4,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0
5,16,3,7,3,9,1,5,4,5,0,0,3,1,0,3,0,1,1,0,2,2,1,0,0,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,3,6,0,1,3,2,3,3,2,0,3,0,0,1,0,1,0,6,1,1,0,0,4,0,1,1,0,2,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,4,2,2,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,8,3,5,2,4,0,0,3,3,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0
0,20,5,8,0,10,5,0,6,5,1,2,4,0,0,0,0,5,0,0,0,0,1,0,0,0,1,0,2,0,0
0,0,1,0,2,0,0,0,0,0,2,1,0,4,1,2,0,0,0,0,0,0,4,3,0,1,0,0,0,0,0
1,0,2,3,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
4,13,6,10,5,7,0,1,6,7,3,2,1,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0
0,0,1,0,4,0,0,4,0,0,0,0,0,0,3,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0
0,0,1,0,7,0,1,0,3,0,0,1,1,0,0,1,1,4,0,2,0,0,0,0,0,1,3,3,1,0,0
1,0,2,3,0,0,1,0,1,1,0,3,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,3,1,0
10,9,9,13,11,5,10,1,10,8,0,4,1,4,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0
5,11,3,5,0,2,0,3,0,4,1,1,2,0,3,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0
2,6,5,11,2,2,7,3,4,7,3,2,0,0,0,0,9,0,2,10,2,0,0,1,7,0,2,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,2,3,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
4,0,2,1,8,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0
1,0,4,3,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
3,0,1,0,2,0,1,3,8,0,0,1,0,1,0,0,0,0,0,0,0,0,1,5,6,0,0,0,0,0,0
5,0,1,1,2,0,1,1,0,1,0,1,1,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,4,0,0,3,0,0,3,1,0,0,0,0,0,2,0,0,6,0,0,1,0,0,1,0,1,1,0
0,0,1,1,0,0,0,1,0,1,3,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0
1,0,2,0,0,0,2,1,0,0,1,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,0,2,0,37,2,6,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,2,2,3,0,1,0,1,1,1,1,1,2,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0
1,0,2,1,3,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,2,2,0,1,2,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0
0,0,4,0,2,0,4,6,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,9,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,4,0,0,3,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,1,0,0
0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,11,5,9,1,5,0,0,0,6,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0
0,0,1,0,5,0,0,1,5,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,7,0,0
6,5,3,2,0,2,0,0,0,1,0,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,2,1,0,0,0,1,3,0,0,2,0,0,0,0,0
5,0,4,5,4,0,5,7,1,3,4,1,0,0,8,0,0,0,1,0,1,0,2,0,3,4,4,1,1,0,0
0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0
1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,2,0,0,2,0,0,0,0,1,1,0,3,0,1,0,0,2,1,3,1,1,0,2,0,1,0,0
0,0,1,2,1,0,0,1,0,0,0,3,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
6,1,6,6,1,1,9,4,6,2,1,1,1,2,0,0,0,1,6,0,10,2,0,0,6,1,1,0,0,3,0
0,0,1,1,2,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0
0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,1,1,1,0,6,1,0,0,0,1,7,0,0,8,0,0,1,0,3,0,0,1,1,0,0
5,0,1,0,2,0,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,6,0,1,0
1,2,2,3,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0
10,2,6,12,1,1,4,2,6,7,2,3,1,2,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0
7,4,5,12,2,3,3,2,0,8,1,3,2,1,7,0,5,2,0,0,0,1,2,8,1,1,1,0,0,2,0
2,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0
6,0,3,0,0,0,0,1,4,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,0,4,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,1,2,2,0,1,0,1,0,2,0,1,1,2,2,0,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0
0,0,1,0,4,0,0,1,0,0,3,0,0,0,0,1,0,0,0,1,2,2,0,0,0,0,1,0,2,1,0
2,0,2,0,2,0,0,0,0,0,12,0,1,15,0,0,0,3,6,0,3,3,2,1,3,9,10,12,5,1,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0
0,5,2,5,2,4,0,1,8,5,0,1,1,0,0,0,0,0,4,0,0,0,0,5,0,0,0,0,0,0,0
5,6,5,1,0,4,3,4,6,1,2,3,2,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0
1,1,1,0,0,0,0,1,0,0,4,0,0,1,0,1,1,1,0,0,1,1,2,0,2,3,0,3,1,0,0
1,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,2,3,0,1,1,0,2,0,0,1,0,0,3,0,1,0,0,0,1,3,1,1,0,0,0,2,0,0
3,3,3,2,2,2,0,2,3,2,0,1,1,2,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0
6,7,3,6,1,3,0,0,1,3,2,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0
0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0
4,4,3,4,0,2,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0
2,0,1,0,9,0,1,1,0,0,0,0,0,0,3,0,10,0,2,4,1,0,0,0,0,1,0,1,0,3,0
1,0,2,1,9,0,1,2,1,5,1,2,0,0,0,0,0,0,1,0,0,1,0,0,3,0,0,1,4,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,2,3,4,1,1,0,0,0,2,0,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,1,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,8,0,12,0,1,1,3,0,0,1,0,2,2,2,1,0,0,0,1,3,1,0,1,2,0,0,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,1,2,0,2,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,15,3,7,1,7,0,0,2,4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0
3,0,1,0,2,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
13,80,2,2,3,39,0,0,4,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0
0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,2,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0
7,11,4,8,2,5,0,1,0,6,2,1,0,0,3,0,0,0,0,0,0,1,1,0,0,1,4,0,1,0,0
9,0,5,13,6,0,12,2,5,8,5,1,3,5,0,0,0,0,1,0,4,2,1,1,3,1,3,1,2,3,0
3,0,2,2,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,5,1,0,0,3,1,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,1,2,3,1,1,0,0,2,1,1,3,4,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,3,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
4,0,2,2,1,0,2,3,0,2,1,0,2,2,1,1,0,5,0,0,2,2,0,0,4,1,0,0,0,0,0
2,2,3,4,0,2,2,0,0,4,0,2,1,0,5,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,5,0,0,4,0,0,0,0,1,0,1,0,2,0,1,0,4,0,1,0,0,0,0,1,0,1,0
3,9,3,0,0,1,0,1,0,0,2,1,1,1,3,0,0,0,0,0,8,1,0,0,1,4,0,2,0,0,0
11,8,4,8,0,3,0,0,3,4,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0
1,0,1,1,3,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0
3,2,2,3,0,1,0,2,1,1,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,2,0,0
0,0,2,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,3,0,0,1,0,0,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,1,0,0,0,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
1,4,2,1,0,1,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,1,0,0,0,4,2,0,1,0,0,1,0,0,1,3,0,1,1,0,0,0,1,2,0,1,2,0,0,0
0,0,2,0,1,0,0,0,1,1,0,0,0,4,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,12,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0
0,0,1,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,3,0,0,0,0
0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,2,0,0,0,1,0,1,8,1,8,1,0,0,7,0,0,15,1,1,0,5,0,0,0,5,1,0,0
1,3,2,1,2,2,0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0
3,0,1,1,1,0,0,1,0,1,0,0,2,1,0,3,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0
5,5,2,1,0,3,0,3,0,1,2,1,1,0,2,0,0,2,0,0,0,1,0,0,2,0,0,0,1,0,0
0,0,1,0,2,0,0,1,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0,0
14,12,6,3,1,5,0,2,7,1,0,1,2,3,0,1,1,0,1,5,1,1,1,0,0,2,1,0,1,0,0
4,1,3,6,2,1,1,2,0,4,1,2,1,1,4,0,5,2,0,0,0,1,2,8,1,1,1,0,0,2,0
0,8,2,1,0,4,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,2,1,1,0,0
1,0,2,2,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,1,0
1,3,3,3,2,2,0,2,3,2,1,2,1,0,0,0,0,0,1,0,0,1,1,2,0,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,4,3,2,2,2,1,2,0,1,2,2,2,2,3,1,0,2,1,0,0,2,1,1,0,0,1,0,0,1,0
1,2,2,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,2,0,0,0
1,0,1,1,0,0,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,3,1,0,0,0,0,0,0,0,0
2,17,2,1,1,9,2,3,5,1,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0
12,0,4,10,6,0,6,2,0,10,2,3,1,5,6,4,0,7,0,1,1,8,0,0,3,2,4,0,6,3,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
9,1,2,2,0,1,2,1,2,1,0,0,1,0,0,0,0,1,1,0,1,2,1,1,0,0,0,0,0,0,0
1,3,2,1,1,0,0,1,3,0,1,0,4,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0
1,0,1,2,2,0,1,2,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0
1,0,1,0,6,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,6,6,0,0,0,0,0,0,0
6,7,2,3,3,4,1,0,0,4,0,0,1,0,2,2,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0
1,4,5,12,3,2,0,3,8,6,2,2,2,0,0,1,1,2,2,3,0,5,0,1,2,2,1,0,1,1,0
1,1,2,0,2,1,1,0,2,0,0,3,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0
2,1,2,2,0,1,2,0,2,3,1,1,2,0,0,0,0,1,0,0,0,2,0,0,0,1,0,1,0,0,0
0,2,2,3,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0
2,3,2,4,0,2,0,1,2,2,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0
12,46,4,1,2,7,0,0,3,0,3,1,3,1,0,0,3,1,0,3,0,0,0,0,0,1,1,6,1,0,0
6,1,3,3,1,1,1,1,0,1,0,2,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
5,7,2,4,0,4,0,0,0,2,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,0,1,0,0,0,2,1,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
11,2,4,1,2,1,0,0,0,1,1,1,0,0,2,1,4,1,0,1,0,0,1,0,2,0,0,2,0,0,0
0,9,2,1,2,4,0,1,0,1,1,2,0,9,1,0,0,0,3,1,0,0,1,0,0,1,0,1,1,0,0
1,2,2,4,2,1,0,3,1,0,1,2,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
2,3,2,0,2,2,0,0,2,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,1,2,0,0,1,0,3,0,0,0,0,1,0,2,2,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0
1,0,3,6,3,0,3,3,2,2,1,1,2,0,0,0,0,2,1,0,3,1,0,0,0,0,0,0,0,0,0
1,0,2,2,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,3,3,3,0,2,3,0,0,2,0,2,1,0,3,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0
1,0,2,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0
2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0
1,4,2,3,0,2,0,1,1,1,3,0,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,1,0,0
0,7,3,5,2,4,0,1,5,3,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
5,6,5,7,2,3,2,2,0,5,0,2,1,0,5,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
11,0,3,11,1,0,6,3,2,4,4,2,3,0,1,0,0,5,0,0,4,1,0,1,0,1,1,0,0,0,0
0,0,1,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0
0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,2,0,2,0
4,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,1,2,0,0,2,0,0,1,1,0,1,0
8,8,3,2,3,4,1,2,3,1,3,1,1,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0
2,15,3,1,1,8,0,2,3,1,0,2,1,7,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0
0,1,2,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
3,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,1,1,2,4,0,0,1,1,2,0
2,4,2,3,0,2,0,0,1,1,2,0,0,1,0,1,0,0,0,0,4,0,1,0,0,0,0,1,0,0,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0
4,0,2,1,8,0,1,1,0,0,1,2,1,4,2,0,1,0,3,3,0,4,0,0,3,0,3,4,4,1,0
0,0,1,0,9,0,3,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0
3,0,1,0,2,0,1,3,6,0,0,1,0,1,0,0,0,0,0,0,0,0,1,5,4,0,0,0,0,0,0
1,12,4,1,0,7,0,2,0,1,1,3,2,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,4,0,0
2,1,2,1,3,1,1,0,2,0,1,2,1,1,0,9,1,3,0,1,1,1,0,0,0,1,0,0,2,0,0
39,21,3,3,5,10,0,2,2,2,4,2,1,1,0,0,0,1,0,0,6,2,7,0,0,2,1,0,3,0,0
0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0
3,0,4,2,0,0,4,3,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0
3,0,1,0,5,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,2,0
0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0
1,26,3,4,3,5,0,2,2,3,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
2,0,1,0,5,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0
13,0,3,0,11,0,0,3,6,0,0,0,0,2,1,0,0,1,1,1,1,2,0,1,4,0,0,0,2,2,0
0,10,3,7,0,4,0,0,2,3,1,0,1,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0
1,0,2,1,3,0,9,2,0,0,0,0,0,1,5,0,3,0,0,0,0,0,0,1,6,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0
2,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0
2,3,3,3,1,2,2,2,3,1,0,1,1,0,0,0,0,0,2,0,0,1,2,0,0,0,1,0,1,0,0
5,5,2,4,2,2,0,0,1,2,7,4,0,1,0,0,1,0,1,0,0,0,0,0,0,0,4,0,2,1,0
0,0,1,1,1,0,0,0,0,0,2,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,2,0,1,3,9,0,0,1,0,1,0,0,0,0,0,0,0,0,1,5,6,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,4,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
3,4,2,2,0,2,0,0,4,1,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,4,2,3,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,3,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0
2,1,3,1,4,1,0,3,3,0,0,4,4,0,0,0,0,1,1,0,0,2,0,1,2,2,0,0,0,1,0
2,2,3,4,0,2,2,0,0,4,0,2,1,0,5,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,3,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,7,3,6,1,4,1,3,3,4,1,1,2,0,0,0,4,0,4,2,0,1,1,0,1,0,1,2,0,0,0
2,11,3,7,1,6,1,1,3,5,1,2,4,0,0,3,2,1,0,1,1,0,0,7,1,0,0,1,1,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0
4,0,1,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,8,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,0,0,3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0
0,2,2,3,2,1,1,2,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
5,0,2,0,14,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,2,1,0,0,0,2,0,3,0
0,4,2,0,3,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,3,0,1,1,0,0,0,0,0
2,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,0,0,4,0,0,0,2,1,0,4,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
3,0,1,2,0,0,0,1,0,2,0,0,2,1,0,9,0,0,2,0,0,1,2,2,0,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,2,1,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
12,13,3,5,2,6,0,0,1,1,1,1,1,3,0,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0
5,8,4,2,2,6,0,1,5,2,1,1,2,0,0,0,3,0,1,0,1,0,0,0,1,0,0,0,3,0,0
1,1,2,1,3,1,1,2,2,1,0,2,3,1,0,5,0,0,0,0,0,1,5,2,2,0,1,0,0,0,0
6,4,3,8,1,2,2,0,3,4,1,1,1,1,4,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0
1,0,1,1,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
1,26,7,11,0,4,0,0,8,6,0,2,2,0,0,0,2,1,0,0,0,3,0,0,0,1,0,0,1,0,0
1,2,2,3,0,1,0,1,0,1,0,1,2,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0
1,0,1,0,3,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,3,0,0,0,0,0,0,0
9,0,3,1,14,0,3,7,3,0,10,5,1,1,0,1,0,2,2,0,7,8,1,2,1,4,0,2,5,0,0
4,0,1,1,1,0,1,1,0,1,0,0,1,1,0,3,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0
0,0,1,2,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0
1,0,1,0,2,0,0,2,0,0,1,2,0,0,1,1,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0
13,1,4,5,10,1,19,3,1,2,4,1,2,1,10,2,3,1,0,1,0,3,0,3,5,1,0,0,0,0,0
5,5,2,4,0,3,0,1,2,2,1,0,1,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,0,0
7,4,5,12,2,3,3,3,0,8,1,3,2,1,7,0,5,2,0,0,0,1,2,8,1,1,1,0,0,2,0
2,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0
1,2,2,1,1,1,2,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,1,1,2,0,0,0
0,0,2,3,1,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0
0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,1,1,0,0,0,0,0,1,0,2,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,2,0
0,0,2,0,6,0,0,0,0,0,1,0,0,1,0,0,0,1,0,4,0,0,0,0,1,3,3,2,0,2,0
2,0,1,2,0,0,0,0,0,5,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,2,3,1,1,2,2,1,1,2,2,2,0,1,0,0,2,7,1,1,2,1,0,2,2,4,0,1,3,0
0,0,1,0,10,0,11,1,0,0,1,0,0,0,0,0,8,3,1,0,1,0,3,21,1,1,0,0,1,8,0
4,0,1,1,1,0,1,1,0,1,0,0,2,0,0,3,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0
0,5,3,5,0,3,0,0,2,3,2,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0
2,4,2,3,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
9,3,4,4,0,2,7,2,4,4,3,3,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,1,1,2,0,2,3,6,0,1,2,2,2,0,0,6,0,5,0,1,0,0,3,2,1,1,0,0,4,0
1,13,5,3,0,5,10,3,7,2,2,0,3,0,0,3,0,3,4,0,0,1,0,4,3,1,2,0,1,1,0
0,0,1,1,1,0,0,1,0,0,3,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0
1,2,2,2,3,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
3,0,3,4,1,0,1,3,0,1,2,2,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0
2,3,2,3,0,2,0,0,0,2,1,0,3,1,2,1,2,0,0,0,1,0,4,0,0,0,0,0,1,0,0
5,0,1,0,1,0,3,1,1,1,0,1,0,0,0,9,1,0,0,5,0,1,11,2,0,1,0,1,0,0,0
9,0,1,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0
0,0,2,0,2,0,0,3,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
2,2,3,3,0,1,0,0,0,1,0,0,0,1,1,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0
3,9,3,6,6,4,0,1,0,3,3,2,0,3,2,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,2,1,1,0,3,0,3,2,1,2,1,2,0,0,0,1,0,2,2,2,1,0,1,0,0,0,0,0
0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0
4,17,6,8,4,9,0,2,7,4,0,5,2,0,4,0,0,3,1,0,0,7,0,0,2,0,2,0,0,0,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,1,1,0,0
5,3,4,0,0,2,2,1,3,0,0,1,2,0,0,1,2,3,1,2,0,0,0,0,0,0,1,2,0,1,0
0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,3,1,0,0
1,2,2,4,1,1,0,1,1,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0
0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,1,0,1,0,2,2,0,0,0,0,1,0,2,0,0,0,2,0,1,0,0,1,2,1,0,0,0,0,0
0,0,1,0,0,0,0,2,0,0,1,1,0,3,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0
0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
2,4,2,3,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
3,5,3,3,2,3,0,1,3,1,1,1,1,1,0,0,0,0,2,0,0,4,0,1,0,0,2,0,1,1,0
1,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
0,4,2,2,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,2,4,1,0,1,0,0,2,0,1,1,2,2,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0
2,0,1,0,18,0,0,0,1,0,0,0,0,0,0,0,3,2,0,1,0,0,9,4,1,0,0,0,0,0,0
5,0,1,0,9,0,0,1,0,0,0,0,0,0,0,0,7,0,0,1,0,0,2,3,0,0,1,0,0,7,0
0,0,1,0,3,0,5,1,0,0,0,1,0,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0
3,5,8,12,3,3,1,4,2,14,3,5,2,2,0,0,0,1,0,0,18,3,0,0,0,2,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
17,9,5,6,1,4,1,0,2,5,4,3,2,0,0,0,1,0,0,0,1,1,3,0,0,0,1,1,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0
2,0,2,4,1,0,2,0,0,2,0,1,1,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,3,3,0,0,2,1,1,1,8,2,2,1,0,1,0,0,0,0,7,0,1,0,0,0,1,0,0,1,0
1,2,2,4,1,0,0,0,1,0,1,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,2,0,0
5,4,4,3,2,1,2,6,1,4,2,1,0,2,4,1,0,1,3,12,0,2,0,0,1,0,0,2,0,0,0
7,3,2,3,0,2,0,0,2,2,2,0,1,3,0,2,0,5,0,0,0,0,1,2,0,0,0,0,3,0,0
4,1,2,1,0,1,0,0,0,0,2,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
14,5,5,2,2,1,0,2,6,2,2,1,2,0,0,1,2,0,1,5,1,2,3,0,1,2,1,0,2,0,0
2,0,2,2,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
6,1,2,3,0,1,6,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,6,2,1,1,4,0,0,0,1,0,2,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,12,4,7,3,6,0,0,0,5,2,1,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,0,3,7,0,0,7,2,0,4,1,0,0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
2,0,2,1,0,0,1,1,1,1,2,0,1,0,4,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,1,2,3,2,1,2,1,2,2,0,0,1,0,0,0,0,0,2,0,3,0,0,0,2,0,1,0,0,1,0
0,0,2,1,2,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,2,5,6,1,1,0,3,0,3,3,1,1,2,4,0,1,2,1,1,3,0,0,1,1,9,1,0,0,0,0
7,0,2,1,2,0,0,1,2,0,3,1,1,0,0,0,0,1,1,0,1,3,0,0,0,0,2,0,0,0,0
6,8,5,0,2,5,2,2,0,0,4,4,3,0,7,8,0,0,4,0,3,4,6,0,0,0,1,4,2,0,0
1,0,2,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,14,3,2,2,5,1,1,3,1,1,2,3,0,1,4,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0
4,1,2,2,2,1,1,3,3,1,3,2,1,0,0,0,0,0,3,0,0,1,1,0,3,1,5,0,0,7,0
0,7,4,6,0,4,0,0,4,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
12,17,8,0,4,6,0,3,9,0,3,0,7,2,0,0,5,0,3,13,0,1,2,0,2,1,0,3,1,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0
0,0,1,0,1,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0
0,14,2,2,3,4,0,0,1,1,1,1,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,2,1,0
1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,1,3,0,0,0,0
11,0,3,0,2,0,1,4,0,0,1,3,0,0,0,0,1,1,0,0,0,0,0,3,6,0,0,2,1,1,0
6,0,2,1,4,0,2,4,1,1,1,1,2,1,0,3,0,1,0,0,0,2,0,2,0,2,2,0,0,0,0
0,0,2,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0
2,2,2,3,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
3,0,1,0,2,0,1,3,4,0,0,1,0,1,0,0,0,0,0,0,0,0,1,5,2,0,0,0,0,0,0
0,0,1,0,0,0,4,2,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0
4,0,1,0,2,0,2,1,26,2,0,1,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0
2,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,3,1,3,0,3,1,9,0,3,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0
14,7,3,7,2,4,0,2,4,3,0,0,2,0,0,4,2,2,0,0,0,1,1,0,0,0,0,0,0,1,0
3,1,4,7,2,1,5,0,4,3,0,2,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0
6,3,3,7,3,2,1,1,3,7,0,0,1,0,0,2,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0
4,0,1,0,3,0,0,0,1,0,3,1,0,0,0,0,0,1,3,0,1,0,1,0,1,0,0,1,0,0,0
0,4,2,1,2,3,0,1,3,1,1,1,1,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0
1,1,2,3,0,1,1,0,2,2,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0
2,0,2,2,0,0,0,0,1,0,0,3,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
2,2,2,3,0,1,1,2,1,3,0,1,0,0,0,0,1,0,0,2,0,1,0,3,0,0,3,0,0,0,0
15,16,5,4,3,8,1,5,0,2,1,2,2,0,6,0,0,1,0,0,0,2,0,0,2,2,0,0,3,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,6,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,14,4,7,4,4,1,0,3,3,2,2,0,0,0,0,0,0,2,0,0,1,0,1,0,2,0,2,1,0,0
6,4,3,2,1,2,4,1,0,1,2,3,1,2,6,1,1,2,3,1,4,0,1,4,1,0,1,1,1,0,0
4,0,2,0,1,0,0,3,2,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
2,64,6,11,2,16,0,3,5,8,1,1,1,2,0,11,0,2,0,0,0,4,11,4,0,0,4,0,1,0,0
3,0,1,0,7,0,1,1,2,0,2,0,0,6,0,0,0,0,1,0,12,0,0,0,2,0,0,5,0,0,0
0,0,1,0,0,0,0,1,5,1,1,0,1,0,0,2,0,0,0,7,0,1,1,1,0,0,0,0,0,0,0
1,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0
0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,4,2,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0
4,0,2,2,0,0,2,0,2,3,0,2,1,0,1,4,2,1,0,1,0,0,1,1,1,0,0,0,0,0,0
2,0,1,0,9,0,1,2,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,0,3,5,0,0,5,1,6,3,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0
3,0,3,6,1,0,4,0,2,3,1,1,3,1,0,5,0,1,1,0,0,0,2,1,0,0,1,1,0,0,0
16,0,3,1,1,0,6,2,2,1,0,2,3,1,0,8,0,0,1,0,0,2,9,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0
0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,26,3,4,0,13,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,3,1,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,1,1,0,1,0,1,2,0,2,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
9,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0
1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,4,1,5,1,0,0,1,0,0,0,0
10,0,2,0,2,0,1,2,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,3,3,0,0,1,1,1,0
0,0,1,1,4,0,0,1,0,1,1,0,0,1,0,0,1,1,0,3,0,0,0,0,1,0,0,0,4,0,0
6,16,4,1,0,2,0,2,2,1,4,1,0,0,0,7,1,3,4,1,0,2,8,2,1,1,0,0,1,2,0
0,0,1,0,3,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0
6,0,2,0,2,0,0,0,0,0,1,1,3,2,1,0,0,3,0,0,0,2,0,0,3,4,2,1,3,0,0
0,4,4,6,1,2,0,2,3,3,3,3,1,2,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0
7,0,1,0,5,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,3,0,0,0,0,0,5,0
1,9,2,2,0,5,1,0,2,1,1,1,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0
0,0,1,1,3,0,0,0,0,0,2,0,2,1,0,1,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0
15,10,4,6,1,6,2,1,5,4,1,6,4,2,1,1,0,0,2,0,5,2,2,2,0,1,0,0,1,0,0
10,4,3,1,5,2,0,1,6,0,0,4,1,0,1,4,0,2,1,0,1,1,4,0,0,1,1,0,1,1,0
0,0,1,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,0
0,1,2,1,0,1,0,2,0,0,1,1,1,0,2,0,0,0,0,0,1,1,2,4,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
17,13,3,0,2,10,5,6,4,0,1,0,3,1,0,0,1,0,1,5,0,0,0,0,2,0,0,3,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,0,1,0,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,2,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,1,2,1,2,1,0,1,2,0,1,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
6,3,2,1,2,1,0,0,0,1,2,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0
22,1,2,1,3,1,2,0,2,0,0,1,1,1,0,0,1,1,0,0,0,0,2,1,0,0,1,0,0,1,0
2,12,4,7,0,5,0,0,3,4,3,0,0,1,0,1,0,0,0,0,4,0,1,0,0,0,1,3,0,1,0
3,0,2,3,0,0,5,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,18,0,1,6,0,0,0,3,1,1,0,1,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,1,3,0,0,2,3,0,4,1,0,0,0,2,4,0,1,0,0,2,0,3,3,1,1,0,1,0,0
1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,10,3,7,0,6,0,0,4,4,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,5,2,0,2,1,1,0,0,1,0,1,0,0,0,0,2,0,3,1,0,0,2,0,1,0,0,1,0
0,0,1,0,4,0,3,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,6,1,1,0,0,0,0,2,3,2,4,0,2,0,0,0,0,2,1,0,1,2,0,0,0
0,0,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
6,34,2,1,1,17,0,1,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,1,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,1,0,4,0,10,1,0,0,4,0,0,4,1,1,9,0,3,9,0,0,0,0,0,1,3,1,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
14,17,5,0,0,8,0,0,0,0,0,1,2,0,6,6,0,0,0,0,0,2,0,0,0,0,1,5,0,0,0
2,5,3,3,3,3,0,0,3,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,3,0,0,1,0,0
1,4,2,3,0,2,0,0,1,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0
1,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0
0,4,2,3,1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
3,0,2,1,0,0,2,2,6,2,1,0,1,1,0,3,0,0,0,7,2,2,1,2,0,0,0,0,0,0,0
6,1,2,4,2,1,1,1,2,2,5,1,2,0,0,2,0,0,0,0,0,2,0,0,3,5,0,0,0,0,0
1,0,2,2,0,0,0,1,1,0,0,0,1,5,0,1,0,2,1,0,0,0,1,0,1,1,0,0,0,1,0
3,0,2,4,3,0,2,2,0,2,1,0,0,0,2,3,0,0,1,0,0,0,0,3,4,0,2,0,0,0,0
7,2,15,40,4,1,17,10,14,28,3,0,1,5,0,0,0,4,0,2,12,1,1,0,0,0,1,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,11,6,6,4,7,4,6,2,5,0,2,8,0,9,0,0,0,3,5,0,1,0,0,0,1,1,7,4,0,0
8,1,7,14,3,1,9,2,7,7,0,4,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0
1,0,2,1,1,0,3,1,5,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,4,2,3,1,2,0,3,2,1,0,2,1,1,1,2,0,1,0,0,1,2,1,2,0,0,2,1,0,0,0
2,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,7,4,6,0,6,1,3,6,3,0,1,3,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0
10,3,1,1,2,0,11,4,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0
1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,1,0,1,7,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,0,0
3,5,2,0,1,3,0,0,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
8,3,3,4,0,1,0,2,0,2,0,2,1,0,1,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,3,4,2,0,3,5,0,4,0,0,9,1,3,0,0,1,4,8,0,0,0,0,3,0,0,5,2,0,0
3,13,3,6,3,7,0,4,3,4,1,1,2,0,0,0,0,1,0,0,1,3,1,0,0,0,2,0,1,0,0
0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
2,3,2,3,1,2,0,0,6,1,0,2,1,2,5,0,1,2,0,1,0,1,0,0,0,0,1,2,1,3,0
0,0,1,0,2,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,0,2,1,5,0,2,5,2,0,5,3,1,1,0,1,0,2,1,0,1,4,1,2,0,2,0,2,0,0,0
2,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0
3,0,4,5,0,0,2,1,0,2,1,4,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0
1,3,3,2,3,1,0,1,3,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,1,0,1,0,2,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,3,0,1,0
1,2,2,2,2,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
3,2,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
6,13,2,1,0,8,0,2,2,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
49,28,3,2,2,16,0,3,5,2,0,3,2,0,5,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0
0,0,1,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,2,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0
48,2,3,3,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,6,1,0,0,3,0,0,0,0,0,0
0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0
2,0,1,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,0,0,0,3,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0
3,5,2,3,1,2,0,0,0,2,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,1,7,0,9,0,89,3,13,0,1,1,5,0,0,0,0,0,3,0,0,0,0,0,2,2,0,0,0,1,0
1,4,2,1,0,2,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,1,2,0,5,1,0,0,2,0,3,2,2,0,0,6,0,1,2,9,1,2,1,3,0,0,0,1,1,1,0
0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0,0,4,0,0
0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
0,8,3,1,2,3,0,0,2,1,1,3,1,2,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0
0,15,4,7,0,7,4,0,4,4,0,2,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,5,2,0,1,0,0,0,2,0,1,1,7,0,0,0,5,0,0,8,0,0,0,0,0,0,2,0,2,0,0
0,0,2,4,3,0,0,0,0,2,2,1,2,1,1,1,0,0,0,4,1,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,2,1,1,1,0,1,0,0,2,1,1,0,0,3,1,1,0,0,1,0,1,1,1,0
0,0,2,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
6,5,9,13,2,3,1,4,3,16,5,7,1,3,0,0,4,5,0,0,15,5,0,12,0,2,0,0,0,1,0
1,0,2,2,1,0,1,1,1,3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,12,2,3,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,1,0,3,0,0,0,1,1,0,0,0,1,0,2,0,0,0,1,0,0,0,0
0,0,1,0,0,0,1,2,1,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,6,2,1,1,3,0,0,0,2,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,2,0,1,0,25,0,1,0,0,1,0,2,0,4,2,1,0,1,3,3,0,1,0,1,4,0,2,0,0
3,0,1,0,1,0,0,1,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,4,0,0,0,1,0,0,9,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
5,0,1,1,0,0,3,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,2,3,0,0,0,2,0,0,0
1,0,1,1,4,0,0,0,0,0,1,0,0,3,0,0,6,1,0,0,0,1,0,0,0,0,0,3,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,38,4,5,3,3,0,0,3,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0
0,4,2,3,1,2,0,2,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,0,20,0,0,2,0,0,0,0,0,0,0,0,8,5,0,0,0,0,9,4,0,0,1,0,0,2,0
13,0,6,9,0,0,9,5,5,7,1,4,1,4,0,0,0,3,1,0,1,3,6,1,3,0,1,2,1,0,0
0,0,2,0,1,0,1,1,0,0,1,0,0,1,0,5,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0
2,0,2,0,4,0,1,0,2,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0
0,0,1,1,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0
4,2,2,1,1,1,0,1,2,0,1,1,1,0,0,0,0,2,0,0,3,2,0,2,0,1,1,0,0,1,0
9,5,3,1,2,2,0,0,3,1,0,0,4,4,0,0,0,1,0,1,0,0,0,0,1,1,1,2,2,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,1,0,0,4,1,0,1,0,2,1,1,3,0,1,0,0,0,0,0,0,1,0,0,6,0,0,0,0
0,18,3,2,4,9,0,1,2,2,1,3,0,0,0,1,0,1,2,0,0,1,0,0,1,1,0,2,4,0,0
12,3,3,0,1,2,0,4,8,0,0,3,1,3,0,0,0,0,0,0,0,1,0,4,0,1,0,0,2,1,0
6,0,1,1,4,0,0,3,1,1,0,0,1,1,0,3,0,0,1,0,6,0,0,1,2,0,1,0,3,2,0
1,0,2,2,1,0,1,0,1,0,3,0,1,1,0,0,0,4,0,0,0,1,0,0,0,3,0,0,1,0,0
1,5,3,3,0,4,0,1,4,2,1,2,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
2,9,2,4,0,3,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
128,30,2,2,3,14,0,3,2,2,0,1,0,1,1,0,0,1,3,0,0,1,1,0,0,0,0,1,1,0,0
11,11,4,6,4,7,0,2,0,3,0,3,4,1,8,0,0,0,1,0,0,4,2,0,8,0,2,0,0,0,0
1,8,2,3,4,4,0,1,1,2,1,1,0,1,0,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,0
0,30,6,3,10,9,0,3,0,3,6,5,2,1,8,1,0,1,1,0,1,2,1,1,0,1,0,0,1,0,0
14,28,5,8,1,11,2,1,5,5,3,1,4,0,2,1,1,0,0,3,0,0,3,1,0,0,3,1,0,0,0
1,0,2,3,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,1,12,0,0,0,0,0,0,1,5,0,0,0,0,2,2,8,1,0,0,0,0,0,0,1,0,0,0
2,1,2,3,1,1,1,1,2,3,0,2,3,0,0,2,2,1,0,0,1,0,0,6,1,0,0,0,1,0,0
0,1,2,2,0,1,0,5,2,1,0,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,2,2,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
13,0,7,3,11,0,4,4,6,3,2,3,1,4,0,7,0,1,7,0,3,3,7,0,0,0,3,0,2,0,0
1,3,2,4,0,2,0,2,4,2,2,2,1,0,0,0,0,0,1,7,0,0,1,0,0,0,0,0,0,0,0
12,2,7,15,3,2,5,3,0,6,4,1,2,2,7,0,2,0,0,2,0,3,0,0,2,1,2,0,0,0,0
0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,1,0,0
5,0,4,8,0,0,6,3,0,6,0,2,4,0,13,0,4,0,2,3,0,2,0,5,0,0,2,2,0,1,0
5,4,5,2,1,3,2,5,0,0,1,2,3,0,6,0,0,1,3,0,0,2,0,1,0,0,1,0,0,9,0
0,0,1,0,9,0,14,1,0,0,0,0,0,1,1,1,3,2,7,0,0,1,10,13,0,1,0,3,3,0,0
1,0,2,2,1,0,1,1,0,2,0,1,1,0,1,0,0,1,0,0,1,2,0,0,1,0,2,0,0,0,0
1,1,2,2,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
5,4,3,5,2,2,1,0,0,3,0,1,2,1,3,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,0,1,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0
5,2,2,4,2,1,1,0,0,2,1,1,1,3,3,3,0,1,0,2,0,0,3,1,0,0,0,0,2,2,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0
4,0,2,0,0,0,3,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0
0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,1,1,2,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
6,7,2,3,3,4,1,0,0,4,0,0,1,0,2,2,0,0,0,0,0,0,1,2,1,0,2,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,9,0,0,0,0,0,0,0,2,0,0,0
19,2,12,26,5,1,1,3,11,18,7,2,2,2,0,8,6,3,0,0,0,1,0,1,0,1,2,0,0,0,0
2,5,3,5,0,3,0,2,9,3,1,3,1,0,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0
1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0
1,0,1,2,4,0,0,1,0,0,0,4,0,1,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,2,0
0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0
5,0,1,0,16,0,0,2,1,0,0,0,2,1,2,0,8,1,0,0,0,0,6,6,0,0,0,0,1,8,0
6,5,3,6,3,2,0,1,2,3,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,3,0,0,0,0,0
6,0,4,0,2,0,7,4,0,0,5,4,2,0,5,0,0,0,0,1,0,2,0,6,0,0,0,1,0,0,0
13,14,6,5,4,8,0,3,7,3,3,2,2,0,0,1,0,0,0,0,0,2,0,1,0,2,0,0,3,0,0
0,0,2,2,2,0,0,1,1,0,0,1,0,0,0,0,4,1,0,0,0,0,0,0,0,1,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
8,7,2,0,2,4,0,2,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,3,0,1,1,1,0,4,0,0,0,1,0,1,0,3,0,0,2,2,0,1,1,0,0
1,0,1,1,1,0,1,0,0,0,1,0,2,0,0,1,1,3,2,0,3,1,1,0,0,0,1,1,0,0,0
0,0,1,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
5,0,1,0,0,0,1,5,0,0,0,0,0,1,0,0,0,1,3,0,0,1,0,2,1,1,0,0,1,2,0
8,6,3,4,1,4,0,4,0,3,0,2,2,0,4,0,0,0,2,0,0,2,0,0,1,0,1,0,1,0,0
3,2,4,7,3,1,4,2,4,4,0,1,0,3,0,2,0,2,0,0,1,2,0,0,0,0,0,1,0,0,0
2,0,1,2,3,0,0,1,0,1,0,1,0,2,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0
3,1,2,1,1,1,0,3,0,0,1,1,2,0,2,0,0,1,0,0,0,2,0,1,0,0,0,0,0,4,0
0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
1,11,2,1,0,3,0,1,2,0,0,1,2,5,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0
0,12,2,1,6,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,4,2,0,0,2,0,1,0,0,2,2,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0
0,0,1,1,2,0,1,0,0,0,3,2,1,1,0,1,0,0,0,0,0,0,0,0,0,3,2,1,0,0,0
23,0,3,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0
1,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
4,0,1,0,14,0,0,1,0,0,0,0,2,1,0,0,5,3,0,0,0,0,0,5,0,0,2,0,0,0,0
0,0,1,0,0,0,4,2,0,0,0,0,0,1,0,0,1,0,3,2,0,0,0,0,2,0,1,2,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
1,5,2,1,1,2,1,0,2,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0
0,0,1,0,2,0,2,2,0,0,0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
5,1,2,3,2,1,1,2,2,2,0,2,2,0,0,0,0,1,2,1,0,0,0,0,0,1,0,1,0,0,0
2,7,2,1,1,2,0,1,1,1,0,0,4,0,0,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,3,0,1,1,0,0,2,0,0,1,1,1,0,1,0,1,0,0,6,2,1,0,0,0,0,0,0,0,0
0,0,3,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,2,1,0,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,5,1,0,0,0,0
10,0,3,8,1,0,5,1,2,3,1,1,3,0,1,0,0,5,0,0,3,1,0,0,0,1,0,0,0,0,0
4,0,3,7,2,0,4,2,0,7,1,2,0,4,4,2,0,3,0,0,1,3,0,0,2,1,2,0,4,0,0
1,0,2,2,1,0,1,1,1,0,1,1,0,1,0,2,2,0,0,0,1,2,1,1,1,0,1,0,0,0,0
0,2,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,1,3,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
9,0,1,0,3,0,1,0,0,0,4,0,0,1,1,1,1,0,1,1,2,0,5,4,1,0,0,3,0,2,0
1,0,1,0,3,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0,0,1,0,0
0,0,2,0,3,0,0,0,3,0,1,0,1,0,5,3,0,2,1,0,0,0,0,1,1,0,1,0,0,0,0
1,38,4,6,2,5,0,1,0,3,2,2,0,0,3,3,3,4,0,0,0,1,3,0,0,0,0,0,1,0,0
0,0,1,1,3,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0
8,0,2,0,7,0,0,2,1,0,0,2,0,2,0,2,0,0,2,0,0,1,3,1,0,0,0,0,2,1,0
2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0
4,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,1,2,4,0,1,1,0,2,0,1,1,2,0,5,0,0,0,0,0,0,4,1,0,0,1,0,1,0,0
9,6,3,0,0,3,0,1,4,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0
2,0,1,1,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0
1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,1,0,0,1,1,0,0,2,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
5,3,3,1,0,5,1,1,0,0,0,0,2,0,4,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0
12,0,6,15,3,0,13,0,0,10,5,1,2,1,5,2,7,4,0,14,0,0,0,2,0,1,0,1,0,2,0
0,0,2,3,2,0,0,0,1,2,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,3,0,1,0
8,15,6,4,2,8,0,2,9,3,0,4,4,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,3,0,0
2,2,2,3,0,1,0,0,0,1,2,1,0,2,1,0,0,0,0,1,0,0,2,0,1,1,0,0,1,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,7,0,1,0,0,0,0,0,1,0,0,0
0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
1,3,2,3,1,2,0,2,0,0,3,1,2,1,2,1,0,0,0,0,2,0,2,0,0,1,0,0,0,1,0
5,26,8,17,13,13,0,1,0,11,5,5,3,5,8,8,0,3,1,0,2,3,10,1,0,5,2,0,3,1,0
123,131,2,3,2,101,0,2,3,2,0,0,2,0,0,0,0,0,3,1,0,0,1,0,1,0,2,0,0,0,0
0,2,2,3,1,1,0,0,3,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0
6,0,5,9,1,0,10,4,0,6,0,2,0,0,4,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0
2,2,2,3,2,1,0,0,0,1,1,2,0,1,1,0,0,0,0,0,1,0,1,4,0,0,2,0,0,0,0
17,2,11,24,5,1,1,3,10,17,5,2,2,2,0,6,6,3,0,0,0,1,0,1,0,1,2,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,2,0,0,0,2,1,1,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
12,7,4,9,1,2,0,2,5,4,6,1,4,0,0,4,3,0,1,0,0,1,2,0,0,3,4,2,1,0,0
0,4,2,0,2,2,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,5,0,0,0,0,0,2,11,0,0,0,0,0,1,0
1,1,2,3,0,1,0,1,0,1,1,1,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0
8,9,3,5,2,5,0,4,4,2,1,2,1,0,0,1,0,0,2,0,1,1,3,0,2,0,3,0,0,0,0
12,0,1,0,9,0,3,0,1,0,4,0,0,0,7,0,7,1,4,0,0,0,6,4,1,0,1,4,1,4,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,2,0,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
2,1,2,1,2,1,3,1,1,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0
1,7,3,5,1,5,1,1,0,3,0,0,2,0,3,0,2,0,0,1,1,1,1,1,0,0,1,0,0,0,0
1,0,1,1,0,0,1,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0
6,7,5,2,1,4,0,1,0,0,1,2,5,1,7,1,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0
0,0,1,0,4,0,6,1,3,0,0,0,0,1,2,2,5,0,2,4,0,0,1,0,1,0,2,2,1,3,0
2,4,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0
1,0,4,2,2,0,0,3,0,0,0,3,0,0,3,1,1,0,1,0,1,1,2,1,1,0,0,0,0,1,0
2,2,2,2,2,1,3,2,1,2,2,1,1,2,0,0,0,0,3,0,5,2,0,2,3,0,2,0,0,1,0
3,0,1,1,1,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0
2,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,2,2,1,0,1,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
0,0,2,0,2,0,0,3,2,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0
5,0,2,6,0,0,1,4,2,3,0,2,1,0,0,3,0,1,0,0,0,4,4,0,0,0,0,0,1,0,0
1,1,2,3,1,1,4,3,2,1,2,1,3,0,0,0,0,0,0,0,2,0,4,1,0,0,1,1,1,0,0
1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0
0,0,2,1,3,0,0,2,0,0,1,2,0,0,1,0,0,0,2,0,0,1,0,0,2,0,0,0,1,0,0
0,0,1,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,3,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,3,5,1,0,4,1,0,3,1,1,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0
5,0,5,1,2,1,3,3,0,2,0,4,0,1,4,0,0,1,2,0,3,0,3,0,2,0,2,2,0,0,0
0,0,1,0,0,0,3,2,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
1,10,2,2,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0
5,0,2,5,3,0,1,1,0,2,0,1,0,1,2,0,0,0,0,1,0,1,0,0,0,3,0,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0
0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0,0
4,2,3,5,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0
0,2,2,0,2,0,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0
0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
2,1,2,0,0,1,2,1,0,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
1,4,2,0,2,2,1,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,4,0,1,1,0,0,2,0,0,1,1,2,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0
0,0,2,2,3,0,0,1,0,3,1,0,0,1,2,6,0,1,1,0,7,2,0,0,2,1,1,0,0,1,0
0,0,1,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
10,8,3,7,1,5,1,1,0,4,2,4,3,1,4,0,0,2,1,0,0,1,0,1,0,0,0,0,1,0,0
1,0,2,2,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,3,1,3,1,0,1,0,2,0,1,0
0,3,2,1,0,2,2,1,3,3,0,2,3,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0
11,8,3,5,3,5,2,2,0,5,1,3,2,0,4,2,0,1,0,0,0,1,2,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
0,0,1,0,1,0,7,0,1,1,8,0,0,1,0,2,4,2,7,1,0,0,0,13,1,0,3,4,2,3,0
13,10,2,2,1,6,0,2,1,2,1,0,0,0,0,0,0,3,1,0,1,1,0,0,0,0,1,0,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0
13,18,3,4,2,12,0,4,3,3,0,2,1,2,0,0,0,1,1,0,0,2,0,0,1,0,1,0,1,0,0
3,0,1,3,1,0,1,0,14,3,1,0,0,0,3,9,4,1,0,1,0,0,2,8,0,0,0,1,0,0,0
1,2,2,3,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,4,0,2,2,0,0,1,0,0,2,1,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0
9,4,3,1,2,2,0,2,2,0,1,3,2,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0
16,2,8,2,9,1,5,8,5,1,5,1,3,4,4,1,0,3,7,1,1,4,1,0,2,2,3,4,8,0,0
2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0
0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,0,2,3,3,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0
5,1,2,4,0,0,0,1,0,1,0,0,0,2,1,1,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0
2,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,2,3,1,1,0,0,0,1,0,0,1,0,2,0,0,5,0,0,4,0,2,0,1,1,1,0,2,0,1,0
1,0,2,0,1,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
4,1,3,8,1,1,4,1,3,6,0,1,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0
0,2,2,4,2,1,0,4,2,1,2,1,1,0,0,5,1,1,0,0,3,1,1,0,0,2,0,1,1,3,0
1,0,1,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,7,3,6,0,4,0,0,3,4,2,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0
0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0
4,7,3,5,0,4,0,0,3,3,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,5,3,5,5,3,1,2,3,4,1,1,1,1,1,0,0,0,0,5,0,1,0,8,0,0,2,0,0,0,0
2,0,3,3,0,0,2,0,0,2,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0
0,14,3,1,8,7,0,0,2,0,1,2,1,1,0,0,0,0,1,7,1,1,1,0,1,1,0,5,0,0,0
17,9,3,4,6,4,0,2,3,3,0,0,1,0,0,0,0,0,1,0,7,0,0,0,1,4,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,6,2,0,0,0,0,0,0,0
0,2,2,3,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0
9,0,1,0,31,0,0,1,0,0,2,0,0,0,0,0,5,1,1,0,0,0,35,11,0,0,0,0,0,6,0
1,5,2,0,3,2,0,0,2,0,1,0,2,1,0,0,0,0,0,6,0,0,0,0,1,0,1,0,1,0,0
2,3,2,2,1,2,1,2,0,1,1,2,2,0,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0
2,0,1,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,3,0,0,0
0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,5,1,5,0,4,3,4,0,4,0,0,2,0,0,0,1,3,7,18,1,4,1,3,3,0,4,1,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
7,3,3,1,3,2,1,1,4,0,3,1,3,0,0,1,0,0,2,0,0,2,1,1,1,0,1,0,2,2,0
0,2,2,2,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,2,4,1,3,1,2,1,3,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0
9,20,3,4,8,10,0,3,3,2,0,3,0,3,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0
3,0,1,0,2,0,1,3,13,2,0,1,0,1,0,0,0,0,0,0,0,0,1,5,9,0,0,0,0,0,0
2,1,2,5,0,1,2,0,2,2,0,1,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,18,5,11,0,9,5,0,6,6,0,2,4,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0
0,8,2,0,1,4,0,2,1,0,0,2,0,6,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,6,3,6,1,4,0,2,0,2,3,1,3,1,4,1,0,0,1,0,2,0,2,0,0,1,0,0,0,1,0
1,0,1,0,3,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0
3,0,2,3,2,0,2,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0
2,1,2,1,0,1,0,0,2,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
3,5,2,3,1,2,0,0,0,2,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
22,10,6,11,1,5,0,3,7,7,1,2,3,0,0,0,0,1,0,0,0,2,2,0,0,2,0,0,2,1,0
3,0,2,4,0,0,1,0,2,3,2,3,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0
3,0,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,0,6,0,2,2,1,2,0,0,0,0,0,0
0,2,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0
1,0,2,1,4,0,1,1,1,1,1,2,0,0,0,0,0,3,0,0,2,0,2,1,0,0,0,0,0,0,0
4,1,2,3,1,1,0,0,1,1,0,0,1,2,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0
38,2,3,0,0,1,1,0,0,0,13,1,2,1,4,0,10,0,1,22,0,1,0,1,2,2,1,1,0,1,0
10,0,2,2,2,0,1,0,5,1,2,0,1,0,0,3,2,0,0,0,0,0,0,0,0,2,3,1,3,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
7,0,1,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0
5,1,2,2,1,1,1,1,2,3,1,2,1,0,0,0,3,2,2,2,0,0,0,0,0,1,1,0,0,0,0
2,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,2,1,0,2,3,0,2,0,0,1,0
2,0,1,1,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,0,3,1,0,0,0,0,0,1,1,0
13,8,2,0,4,4,0,1,2,0,2,1,1,0,0,0,2,4,1,3,0,1,3,0,2,0,4,0,3,1,0
0,2,2,3,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
18,0,1,0,6,0,5,2,0,0,1,0,0,0,0,2,7,2,3,2,0,0,4,2,0,1,2,1,1,5,0
38,37,2,2,0,21,0,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
2,4,2,4,0,2,1,1,1,1,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
15,29,9,1,5,10,0,3,10,1,3,1,7,2,0,0,5,0,3,13,0,1,2,0,2,1,0,3,1,1,0
0,1,2,1,0,1,0,1,2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,3,0,2,2,1,2,3,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
5,1,2,0,1,1,2,0,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
4,0,1,1,3,0,1,0,0,2,0,1,1,1,0,0,2,0,1,0,1,0,1,1,0,0,1,0,1,0,0
8,29,2,3,2,15,0,3,0,2,0,0,1,0,2,0,1,0,0,0,4,0,2,1,0,0,1,0,0,1,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
23,2,2,0,1,1,21,2,0,0,0,1,1,0,4,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
6,0,3,1,0,0,0,0,0,0,1,0,2,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
9,28,2,1,2,9,0,1,0,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
14,0,2,0,6,0,0,1,0,0,1,0,1,1,0,1,0,4,0,0,5,1,2,1,1,1,1,1,3,0,0
0,0,2,3,1,0,0,0,1,1,2,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0
1,0,1,3,3,0,0,2,0,1,2,1,0,0,0,1,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,4,0,1,1,0,1,0,2,0,2,1,0,0,1,1,0,0,1,0,0,3,0,0,0,1,1,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,1,0,4,0,1,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0
0,9,3,3,1,5,0,2,3,2,1,0,1,0,3,3,0,0,0,0,0,2,0,0,0,1,0,0,3,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,5,2,1,1,2,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
4,5,2,2,2,2,0,3,2,1,0,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
3,9,3,0,0,1,0,1,0,0,2,1,1,1,3,0,0,0,0,0,8,1,0,0,1,4,0,2,0,0,0
2,6,4,5,2,3,1,2,3,3,1,0,1,1,0,8,0,0,3,0,0,0,0,0,0,0,1,1,0,0,0
3,14,3,6,0,8,0,1,4,5,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0
5,1,2,2,0,0,5,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,3,0,0,0,18,0,0,0,0,1,20,0,9,0,0,0,0,0,1,1,1,0,0,0,0,2,0
2,0,2,1,0,0,2,2,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
6,3,4,4,3,2,4,1,0,3,2,1,3,1,5,0,0,2,0,0,0,1,0,0,0,1,0,0,2,1,0
0,6,2,4,0,3,0,0,1,1,1,1,0,0,0,3,0,1,0,0,0,0,2,0,0,2,0,0,0,0,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,2,2,3,0,0,1,0,3,1,0,0,1,2,6,0,1,1,0,7,2,0,0,2,1,1,0,0,1,0
3,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,1,1,2,4,0,0,1,1,2,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0
0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,8,3,5,0,4,0,0,2,2,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0
1,5,3,0,0,2,0,0,1,0,1,0,1,1,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,3,2,1,2,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0
0,0,1,0,0,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
3,0,1,0,4,0,0,0,0,0,0,0,1,0,1,4,0,1,1,0,1,0,0,0,1,1,0,0,0,7,0
2,0,1,1,1,0,0,1,0,1,0,1,1,1,0,3,0,0,0,0,0,1,3,2,2,0,1,0,0,0,0
0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
7,0,1,3,0,0,3,2,0,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0
1,17,6,7,0,7,1,0,6,5,4,1,1,1,0,0,1,0,0,0,0,3,0,1,1,1,2,0,0,0,0
5,9,4,1,8,5,1,3,3,1,0,0,2,1,0,1,1,1,1,0,8,4,0,0,2,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,6,3,4,1,3,1,2,0,3,0,1,1,0,3,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
8,0,2,2,9,0,0,2,3,0,0,1,2,1,0,2,3,1,0,2,0,2,1,2,1,0,3,2,4,0,0
2,7,2,4,0,4,0,1,2,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,5,3,14,0,2,6,7,1,3,1,0,0,12,10,1,2,0,0,4,0,0,4,1,1,0,2,0,1,0
0,0,1,0,4,0,0,1,0,0,1,0,1,0,0,4,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,1,4,0,2,1,0,1,0,0,0,0,0,0,3,0,1,1,2,1,0,0,0,0,0,0,0,1,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
5,0,2,2,5,0,1,2,1,4,0,1,1,1,0,4,0,0,0,0,0,2,1,0,1,0,2,1,0,0,0
3,0,2,4,1,0,3,1,0,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0
2,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,4,0,0,0,1,0,0,0,1,1,3,0
0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0
0,9,2,1,0,6,0,1,4,1,0,1,1,0,0,2,0,0,4,0,0,1,0,3,0,0,0,0,1,0,0
5,0,4,7,3,0,5,4,0,4,5,0,1,2,3,1,1,2,0,1,0,0,1,1,1,7,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,3,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,3,0,0,0,3,0,1,0,0,0,0,0
0,0,1,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
6,0,2,5,2,0,2,3,0,1,0,1,0,1,2,0,2,0,0,0,1,2,0,0,0,2,1,1,0,3,0
0,0,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,10,4,1,2,6,0,2,0,1,0,3,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
1,14,5,10,1,8,0,0,15,5,2,2,2,0,0,0,0,0,2,0,0,0,0,0,3,0,2,0,1,0,0
1,0,2,4,0,0,0,3,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0
10,11,3,8,6,5,0,3,5,3,1,1,1,0,0,5,0,2,0,0,1,1,3,0,5,0,2,0,3,1,0
0,0,1,0,0,0,5,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0
0,0,1,2,4,0,0,1,0,0,2,1,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,1,0
3,0,2,3,1,0,1,0,1,1,0,2,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0
2,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
2,0,2,2,0,0,4,3,0,1,1,2,0,0,1,0,0,4,2,0,0,0,2,0,2,1,2,0,0,1,0
0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,1,0,2,1,0,0,0,1,1,0,0,0
16,2,2,2,4,1,1,2,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0
7,0,4,6,1,0,5,2,1,6,0,4,2,0,2,2,2,1,1,4,0,1,0,5,0,1,0,0,0,0,0
1,0,1,0,1,0,0,1,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
3,0,1,0,8,0,0,1,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,3,3,3,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0
1,6,2,0,3,3,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
2,1,2,0,4,0,0,0,0,0,2,2,2,1,1,0,0,0,0,2,0,0,1,0,0,0,1,8,5,0,0
0,0,3,2,0,0,2,2,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,4,2,3,0,2,0,0,1,1,9,0,1,4,0,0,0,0,0,2,0,1,0,0,1,2,0,2,0,0,0
2,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
1,0,2,2,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0
0,0,2,3,2,0,2,1,0,1,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,2,0,0,0,0,0
2,0,2,1,4,0,0,3,1,2,0,2,1,3,0,1,0,0,0,0,1,3,1,0,1,1,0,0,0,0,0
4,0,2,1,2,0,0,0,0,1,0,0,0,8,1,0,2,0,0,4,0,0,0,0,5,0,1,2,2,0,0
3,0,2,4,2,0,1,1,15,3,1,0,0,0,3,7,4,1,0,1,0,0,2,5,0,0,0,1,0,0,0
7,0,7,12,4,0,10,1,4,7,1,2,0,2,0,0,0,2,0,0,0,0,0,0,0,2,1,1,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
7,0,1,0,0,0,0,0,0,0,0,0,0,3,0,2,0,5,0,0,0,0,1,2,0,0,0,0,3,0,0
3,4,3,5,8,3,1,3,0,7,1,0,3,1,5,2,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,0,2,5,1,0,1,0,0,2,1,2,2,0,3,1,0,2,1,0,0,0,5,3,1,0,0,0,0,0,0
1,3,2,2,0,2,0,3,2,0,1,0,2,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0
0,0,1,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0
1,0,1,1,1,0,0,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,1,0,4,1,3,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,2,1,0,0
3,8,3,3,1,8,0,2,0,3,0,0,1,0,3,6,0,0,0,0,1,0,2,0,1,0,2,2,0,0,0
0,0,1,0,5,0,0,1,5,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,7,0,0
16,1,2,4,4,1,12,3,0,3,1,2,1,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0
1,0,1,0,6,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0
0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,6,2,3,1,3,0,1,1,1,1,2,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,0,0
4,0,2,1,1,0,1,2,0,1,2,1,0,4,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0
2,9,7,7,0,14,0,4,7,4,3,3,2,2,0,3,0,2,1,0,0,5,4,2,0,0,4,1,1,0,0
1,0,2,2,2,0,1,0,1,0,0,2,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
1,0,2,2,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,5,3,6,1,3,1,2,3,5,2,5,2,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0
2,4,2,3,0,2,0,2,1,1,2,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,12,4,5,1,3,2,3,5,4,0,0,3,0,0,0,0,1,3,0,1,0,2,0,0,0,2,4,2,0,0
1,0,1,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0
56,29,4,2,0,14,0,0,5,2,1,2,0,2,0,0,0,0,0,0,2,0,4,0,0,0,0,0,1,0,0
3,0,2,0,5,0,2,1,2,0,0,0,1,4,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0
1,2,4,6,1,0,1,1,3,4,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,1,2,0,0,0
0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
52,0,2,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0
0,0,4,6,3,0,1,0,4,5,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0
10,1,6,12,3,1,4,3,0,4,4,1,2,2,6,0,0,0,0,1,0,3,0,0,2,1,0,0,0,0,0
2,3,3,0,0,3,0,0,4,0,0,1,2,0,0,0,1,1,0,0,1,0,0,7,0,0,0,0,0,0,0
0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
7,19,4,7,0,11,0,1,6,6,1,3,3,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0
1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
5,3,3,1,0,5,1,1,0,0,0,0,2,0,4,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0
2,0,2,1,6,0,0,1,0,0,7,0,1,2,0,1,0,9,2,0,9,0,7,1,0,4,2,3,3,0,0
1,0,2,2,0,0,3,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0
10,0,5,8,2,0,8,2,1,9,0,6,2,1,2,3,2,1,1,4,0,1,0,6,0,1,0,0,0,1,0
27,0,1,0,10,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,12,0
2,7,2,3,0,4,0,0,2,2,0,0,1,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
2,2,3,3,3,1,0,1,4,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
3,4,3,6,0,2,0,2,4,4,0,2,3,0,0,0,0,1,0,0,0,2,2,0,0,1,0,0,1,0,0
0,0,1,0,0,0,0,1,0,0,3,0,1,0,0,0,0,4,0,2,0,1,0,1,0,0,1,1,0,1,0
5,11,3,4,0,6,0,1,6,3,0,2,1,0,0,4,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0
13,11,4,7,2,5,0,1,0,4,1,0,1,6,4,1,1,2,0,0,0,0,1,0,1,0,2,0,0,0,0
0,0,1,0,10,0,2,1,0,0,2,0,0,0,0,10,5,2,3,2,4,0,1,12,0,0,0,2,1,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
2,0,2,2,2,0,1,0,1,0,2,1,2,2,0,0,0,1,0,0,3,2,0,0,1,0,0,0,0,0,0
0,0,1,0,9,0,0,2,0,0,3,0,2,1,2,0,0,0,0,0,1,1,0,0,7,3,7,0,1,0,0
4,3,3,1,2,2,2,0,4,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0
3,0,2,4,2,0,3,2,1,0,1,1,1,0,0,1,1,1,1,0,0,2,0,0,1,1,0,0,0,2,0
3,4,3,5,0,2,1,0,3,4,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,1,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,5,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,3,2,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,3,0,0,1,1,0,0,0,0
1,1,2,3,0,1,1,1,0,1,0,0,1,0,2,0,2,0,0,1,1,1,1,1,0,0,1,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0
0,0,1,0,1,0,0,1,7,0,1,1,0,0,4,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0
0,0,1,0,5,0,0,4,0,0,0,0,1,0,1,0,2,0,1,0,4,0,1,0,0,0,0,1,0,1,0
3,1,2,2,0,2,5,1,2,1,6,0,1,0,0,5,0,0,4,0,0,1,2,0,2,3,1,0,3,1,0
13,20,3,0,7,7,0,0,5,0,0,0,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,0,1,0
1,5,2,0,1,3,0,2,3,0,0,2,2,0,4,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0
0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0
0,0,2,2,0,0,0,1,1,0,0,0,0,3,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,1,0
4,0,2,0,1,0,0,0,0,0,1,0,3,0,1,6,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0
10,73,4,6,3,38,0,2,4,4,0,2,1,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,1,0
5,0,1,0,2,0,1,2,1,0,0,1,0,0,0,0,0,1,2,0,0,0,2,2,0,0,0,2,1,1,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,0
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
11,2,2,1,3,0,0,2,0,0,1,0,1,0,2,0,1,0,0,3,0,1,1,0,0,1,3,0,0,0,0
8,4,4,13,0,3,3,0,0,7,3,2,3,0,5,1,1,3,1,0,4,0,0,4,0,2,4,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
9,27,4,5,8,14,0,3,5,3,0,4,1,3,0,0,0,1,2,0,2,0,0,0,0,1,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,15,4,6,1,6,0,1,9,3,0,2,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
2,0,2,3,0,0,1,0,1,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,3,3,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
1,0,1,0,2,0,0,0,0,1,1,1,0,1,0,2,0,2,0,0,2,1,1,1,2,0,0,0,0,6,0
9,5,3,6,2,2,0,2,0,3,0,3,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0
0,0,1,0,0,0,7,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,2,2,4,1,1,1,0,2,1,1,2,2,2,0,0,1,0,0,0,1,0,0,3,0,0,0,1,0,0
3,1,2,0,3,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,2,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0
3,0,1,0,0,0,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,0,0,0
0,0,1,0,3,0,0,3,2,0,0,1,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,1,1,0,0
1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
1,1,2,4,0,1,3,1,0,3,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,2,1,0,0,1,0,0,1,0,0,5,1,2,3,1,0,0,1,0,1,0,2,2,0,0
11,0,2,2,1,0,13,0,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
3,65,4,0,0,8,0,0,0,0,0,0,3,0,6,4,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0
3,1,2,0,1,1,2,1,0,0,0,0,2,0,2,1,0,1,0,0,0,3,1,0,0,1,2,0,1,1,0
2,6,3,5,0,3,0,1,2,2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,2,3,1,0,0,0,1,1,1,3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
4,4,2,2,4,2,0,1,2,1,0,2,1,1,0,0,0,1,0,0,4,1,0,0,0,0,0,0,1,0,0
0,11,5,7,0,6,0,2,4,5,0,2,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,4,0,5,1,0,0,1,1,0,0,0,2,0,0,0