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0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1
0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1
0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0
1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0
0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3
0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0
1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0
0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1
0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1
0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0
1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0
0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0
1,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,4,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3
0,0,0,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0
1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0
2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,1,0,0,0,0,1,1,0,1
0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1
0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1
0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2
0,0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,0
0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,1,1,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0
2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0
0,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,3,1,0,0,0,1,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0
1,0,0,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,4,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3
0,0,1,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0
1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0
2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0
0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,0,1,1,0,1
0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,1
0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1
0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2
0,0,0,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,0,1,0,1,0,0,0,0,0,0,0,0,2
1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1
0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,3,0
0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,1,1,0,0,0,0,0
1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0
2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0
0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0
1,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,0,1,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0
1,0,0,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,2,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,4,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,3
0,0,1,0,0,0,0,1,0,2,0,1,2,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,2,0,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0
1,0,0,0,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,1,0
0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,0
0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0
2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0
0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,1,0,0,0,1,1,1,0,1
0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,2,1
0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1
0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0
0,2,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0
2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,2
0,0,0,0,0,2,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,3,0,1,0,1,0,0,0,0,0,0,0,0,2
1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,0,0,3,0,1,0,0,1,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1
0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,3,0
0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,1,1,0,0,0,0,0
1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0
2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1
0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1
1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,2,0,1,1,1,1,0,0,0,0,0,1,0,0
0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0
1,3,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0
0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,4,1,0,0,0,1,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,3,0,1,0,0
1,0,0,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,2,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,1,0,4,0,1,0,0,0,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,3
0,0,1,0,0,0,0,2,0,2,0,1,2,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,1,0,0,0,2,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0
1,0,0,1,2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,0,1,1
0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,3,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,1,0
0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,1,1,0,0,1,1,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0
2,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,2,1,0,0,0
0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0
0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,1,1,0,1
0,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,1,2,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,2,1
0,0,0,0,2,1,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1
0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0
2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,2
0,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0
0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,3,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,0,1,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,1,1,0,3,0,1,0,0,2,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1,2,0,1
0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,3,0
0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,1,0,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,3,0,0,0,0,2,0,1,1,0,0,0,0,0
1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0
2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2
0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0
0,1,0,1,0,2,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1
1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,1,2,0,1,2,1,1,0,0,0,0,0,1,0,0
0,0,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0
1,3,0,0,1,0,0,0,0,0,0,3,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0
0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,0,0,0,0,0,1,0,0,1,0,4,1,0,0,0,1,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,2,0,3,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,3,0,1,0,0
1,0,0,0,0,1,1,0,0,0,0,4,0,0,1,0,2,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,2,2,0,1,0,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,1,1,0,4,0,1,0,0,1,2,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,3
0,0,1,0,0,0,1,2,0,2,0,1,2,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,1,1,0,0,0,0,0,1,0,3,0,0,1,0,0,1,2,0,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,0
1,0,0,1,2,2,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0
0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,3,0,1,1
1,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,3,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,2,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,3,1,0
0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,1,1,0,0,1,2,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,1,0
2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,2,2,0,0,0
0,1,0,0,1,0,0,2,1,2,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,0,2,1,0,0,1,0,0,0,1,1,2,0,1
0,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,2,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0
2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,1,2,1
0,0,0,0,2,1,1,0,0,0,0,1,2,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,0,1
0,1,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0
2,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,1,0,0,2
0,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,3,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,0,1,0,0,0,1,0,1,0,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,2,0,0,1,1,0,3,0,1,0,0,2,0,0,0,0,0
1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,0,3,0,0,0,0,0,2,0,0,0,0,1,0,1,2,0,1
1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,3,0
0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0,2,1,0,0,0,1,1,0,1,0,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,0,4,0,0,0,0,2,0,1,1,0,0,0,0,0
1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0
2,0,0,1,2,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2
0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1
0,1,0,1,0,2,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1
1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,1,2,0,1,2,2,1,0,0,0,0,0,1,0,0
0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,2,1,1,0,0
1,3,0,0,1,0,0,0,0,0,0,3,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0
0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,1,0,0,0,1,1,0,0,1,0,4,1,0,0,0,1,0,0,0,0,0,1,0,0
0,1,0,0,0,0,0,2,0,3,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,3,0,1,0,0
1,0,0,0,0,1,1,0,1,0,0,4,0,0,1,0,2,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,2,0,0,2,2,0,1,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,1,1,0,4,0,1,1,0,1,2,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,2,0,0,3
0,0,1,0,0,0,1,2,0,2,0,1,2,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1
0,0,0,0,0,1,1,0,0,0,0,0,2,0,3,0,0,1,0,0,1,2,0,2,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0
1,0,0,1,2,3,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0
0,1,0,2,0,0,0,0,0,2,1,0,0,0,0,2,2,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,3,0,1,1
1,0,0,0,0,1,0,0,0,0,0,1,3,0,0,1,0,0,0,1,1,0,3,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,2,2,0,1,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,1,1,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0,3,1,0
0,1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,2,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,1,1,0
2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,0,0,2,2,0,0,0
0,1,0,0,1,0,0,2,1,2,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,1,2,2,0,2,1,0,0,1,0,0,0,1,1,2,0,1
0,0,0,0,1,0,1,0,0,2,1,0,0,2,1,0,2,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,2,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0
2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,2,1
0,0,0,0,3,1,1,0,0,0,0,1,2,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,2,0,1,0,1
0,1,0,0,0,0,1,0,0,1,3,1,0,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,1,0,1,0,1,0,1,0,0,0,0,0,3,0,0,0,0,1
2,0,0,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,1,0,0,2
0,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,4,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,1,0,0,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,2,0,0,1,1,0,3,0,1,0,0,2,0,0,0,0,0
1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,1,0,3,0,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1
1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,3,0
0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,1,0,1,0,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,2,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,0,0,0,0
1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,2,1,0
2,0,0,1,2,3,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2
0,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1
0,1,0,1,0,2,0,2,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1
1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,1,2,0,1,2,3,1,0,0,0,0,0,1,0,0
0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,0,2,1,1,0,0
1,3,0,0,1,0,0,0,0,0,0,4,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0
0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,4,1,0,0,0,1,0,0,0,0,1,1,0,0
0,1,0,0,0,0,0,2,0,3,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,2,3,0,1,0,0
1,0,0,0,0,1,1,0,1,0,0,4,0,0,1,0,2,0,1,0,0,0,1,1,1,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,2,2,0,1,0,2,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,1,1,0,4,0,1,1,0,1,3,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0
0,0,1,0,0,0,0,0,0,1,0,0,2,0,1,1,1,2,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,0,3
0,0,1,0,0,0,1,2,1,2,0,1,2,0,0,1,1,0,1,0,1,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1
0,0,0,0,0,1,1,0,0,0,0,0,2,0,3,0,0,1,0,0,1,2,0,2,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,0
1,0,0,1,2,3,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,1,0
0,1,0,2,0,0,0,0,0,2,1,0,0,0,0,2,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,3,0,1,1
1,0,0,1,0,1,0,0,0,0,0,2,3,0,0,1,0,0,0,1,1,0,3,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,2,2,0,2,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1
1,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,3,2,0
0,1,0,0,2,0,0,0,0,0,1,1,0,0,3,0,1,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,0
0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,1,0,0,3,0,0,0,1,2,0,1,2,0,0,0,0,0,0,1,1,2,0
2,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,2,1,0,0,0,1,2,2,0,0,0
0,1,0,0,1,0,0,2,1,3,0,0,0,1,0,1,0,0,0,1,2,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,2,0,1,2,2,0,2,1,0,0,1,0,0,0,1,1,2,0,1
0,0,0,0,1,0,1,0,0,3,1,0,0,2,1,0,2,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,1,2,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0
2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,3,1
0,0,1,1,3,1,1,0,0,0,0,1,2,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,0
1,0,0,0,1,0,1,0,2,1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,2,0,1,0,1
0,1,1,0,0,0,1,0,0,1,3,1,0,0,1,1,1,1,0,1,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0
0,2,0,0,0,0,1,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,1,0,2,0,1,0,1,0,0,0,0,0,4,0,0,0,0,1
2,0,1,0,0,0,0,1,1,0,2,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,1,0,0,2
1,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,2,1,1,1,0,1,0,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,5,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,1,0,0,3,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0
0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,2,0,0,1,1,0,3,0,1,0,0,2,0,0,0,0,0
1,0,0,1,1,0,0,0,0,0,1,2,0,0,1,2,0,0,1,0,0,0,1,0,3,0,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1
1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,4,0
0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,0,2,1,0,0,0,1,1,0,1,0,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,2,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,0,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,1,1,2,1,0
2,0,0,1,2,3,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2
0,1,1,0,0,0,0,0,0,2,2,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,2,1
0,1,0,2,0,2,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1
1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,3,0,0,1,2,0,1,2,3,1,0,1,0,0,0,1,0,0
0,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,0,2,1,1,0,0
1,3,0,0,1,0,0,1,0,0,0,4,2,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0
0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,0,4,1,0,0,0,2,0,0,0,0,1,1,0,0
0,1,0,0,0,0,0,2,0,3,0,0,1,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,3,3,0,1,0,0
1,0,0,0,1,1,1,0,1,0,0,4,0,0,1,0,2,1,1,0,0,0,1,1,1,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,2,0,0,2,2,0,1,0,2,2,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0
0,0,0,2,0,0,0,1,1,0,4,0,1,1,0,1,3,0,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0
0,0,2,0,0,0,1,0,0,1,0,0,2,0,1,1,1,2,1,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,1,0,2,0,0,3
0,0,1,0,0,0,1,2,1,2,0,1,3,0,0,1,1,1,1,0,1,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1
0,0,0,0,1,1,1,0,0,0,0,0,2,0,3,0,0,1,0,0,1,2,0,2,2,0,1,0,0,1,0,1,1,0,1,1,0,0,0,2,0
1,0,0,1,2,3,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,0,0,1,1,0,1,1,2,0,0,0,0,0,1,1,0,1,0
0,1,0,2,0,0,0,0,0,2,1,0,0,0,1,2,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,1,1,0,1,0,0,0,0,0,2,3,0,0,1,0,0,0,2,1,0,3,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,2,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,2,2,2,0,3,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1
1,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,2,0,0,1,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,3,2,0
0,1,0,0,2,0,0,0,0,0,1,1,0,0,3,0,1,0,0,1,1,0,0,0,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,1
0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,1,0,0,3,0,0,0,2,2,0,1,2,0,0,0,0,0,0,1,1,2,0
2,0,0,0,0,0,1,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,1,1,0,2,1,0,0,0,1,2,2,0,0,0
0,1,0,0,1,0,0,2,1,3,0,0,0,1,0,1,1,0,0,1,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,2,0,1,2,2,0,2,1,0,0,1,0,0,1,1,1,2,0,1
0,0,0,0,1,0,1,0,0,3,1,0,0,2,1,0,2,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,2,2,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,1,2,1,0,1,1,0,0,1,1,0,1,0,1,1,0,2,0
2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,3,1
0,0,1,1,3,1,2,0,0,0,0,1,2,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,2,2,0,0,1,0,0,0,0,0,1,0,0
1,0,0,0,1,0,1,0,2,1,1,2,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,1,2,0,1,0,1
0,1,1,0,0,0,1,0,0,1,3,2,0,0,1,1,1,1,0,1,2,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0
0,2,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,1,0,3,0,1,0,1,0,0,0,0,0,4,0,0,0,0,1
2,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,2,0,0,0,2,1,0,0,2
1,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,2,1,1,1,0,1,1,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,0,0,2,1,0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,5,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,1,0,0,3,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1
0,1,0,1,0,0,2,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,2,0,0,1,1,0,3,0,1,0,0,2,0,0,0,0,0
2,0,0,1,1,0,0,0,0,0,1,2,0,0,1,2,0,0,1,1,0,0,1,0,3,0,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1
1,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,4,0
0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,2,0,1,0,3,1,0,0,0,1,1,0,1,1,0,2,0,0,1
0,1,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,2,3,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,0,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,2,1,0
2,0,0,1,2,3,0,0,0,0,1,0,0,0,1,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,3
0,1,1,0,0,0,0,1,0,2,2,0,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,2,1
0,1,0,2,0,2,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,2
1,1,0,2,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,2,1,0,0,3,0,0,1,2,0,1,2,3,1,0,1,0,0,0,1,0,0
0,0,1,1,0,0,2,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,1,0,2,1,1,0,0
1,3,0,0,1,0,0,1,0,0,1,4,2,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0
0,0,1,0,1,0,1,1,1,0,2,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,1,4,1,0,0,0,2,0,0,0,0,1,1,0,0
0,1,0,0,0,0,0,2,1,3,0,0,1,0,1,0,1,1,0,2,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,3,3,0,1,0,0
1,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,1,0,0,0,1,1,1,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,2,0,0,2,2,0,1,0,2,2,1,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0
0,0,0,2,0,0,0,1,1,0,4,0,1,1,0,1,3,1,2,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1
0,0,2,0,0,0,1,0,0,1,0,0,2,0,1,1,1,2,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,2,0,0,3
0,0,1,0,0,0,1,2,1,2,0,1,3,0,0,1,1,1,1,0,2,3,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1
0,0,0,0,1,1,1,0,0,0,1,0,2,0,3,0,0,1,0,0,1,2,0,2,2,1,1,0,0,1,0,1,1,0,1,1,0,0,0,2,0
1,0,0,1,2,3,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,1,1,0
0,1,0,2,0,1,0,0,1,2,1,0,0,0,1,2,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,1,1,0,1,0,0,0,1,0,2,3,0,0,1,0,0,0,2,1,0,3,1,0,0,0,1,0,0,2,0,0,0,1,0,1,0,2,1,0
0,0,0,1,0,0,0,1,0,0,1,0,1,0,2,1,0,1,2,2,2,0,3,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1
1,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,3,0,0,2,1,1,0,0,1,0,0,0,2,1,0,0,0,0,1,0,3,2,0
0,1,0,0,2,0,0,0,0,0,1,1,0,0,3,0,2,0,0,1,1,1,0,0,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,1
0,0,1,1,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,2,0,0,3,0,0,0,2,2,0,1,2,1,0,0,0,0,0,1,1,2,0
2,0,0,0,0,1,1,1,2,0,0,1,0,0,1,1,1,0,0,0,1,0,0,2,1,0,0,1,1,0,2,1,0,0,0,1,2,3,0,0,0
0,1,0,0,1,0,0,2,2,3,0,0,0,1,0,1,1,1,0,1,2,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,2,0,2,2,2,0,2,1,0,0,1,0,0,1,1,2,2,0,1
0,0,0,0,1,0,1,0,0,3,1,0,0,3,1,0,2,0,0,0,2,2,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,2,2,0,1
1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,1,2,1,2,2,0,1,1,0,0,1,1,0,1,0,1,1,1,2,0
2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,2,0,0,1,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,3,2
0,0,1,1,3,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,2,3,0,0,1,0,0,0,0,0,1,0,0
1,0,0,0,1,0,1,0,2,1,1,2,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,3,1,2,0,1,0,2
0,1,1,0,0,0,1,0,0,1,3,2,0,0,1,1,1,1,0,1,2,0,0,0,0,1,1,2,0,0,1,1,1,0,0,1,1,0,1,0,0
0,2,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,2,0,3,0,1,0,1,0,0,0,0,0,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,2,0,0,0,2,1,0,1,2
1,0,0,0,0,2,0,1,2,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,2,1,1,2,0,1,1,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,1,0,2,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,5,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,1,0,1,3,1,1,1,0,0,1,1,0,1,0,0,0,1,0,2,1,1,1,0,1,0,1,0,0,1,0,0,1
0,1,0,1,0,0,3,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,2,1,2,0,0,1,1,1,3,0,1,0,0,2,0,0,0,0,0
2,0,0,1,1,0,0,0,0,1,1,2,0,0,1,2,1,0,1,1,0,0,1,0,3,0,0,0,1,0,2,0,0,0,0,1,0,1,2,0,1
1,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,2,1,0,1,4,0
0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,3,1,0,0,0,1,1,0,1,1,0,2,0,1,1
0,1,1,0,0,0,1,0,0,0,1,2,0,1,0,0,0,2,3,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,1,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,2,1,0
2,0,0,1,2,4,0,0,0,0,1,0,0,0,1,2,1,0,0,1,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,3
0,1,1,0,0,0,0,2,0,2,2,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,0,0,2,1
1,1,0,2,0,2,0,2,2,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,3
1,1,0,2,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,3,0,1,1,2,0,1,2,3,1,0,1,0,0,0,1,0,0
0,0,1,1,0,0,2,1,1,2,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,3,0,0,1,0,0,1,1,0,1,4,2,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,1,2,0,2,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,1,4,1,0,0,0,2,0,0,0,0,1,1,0,0
0,1,0,0,0,0,0,2,1,3,0,0,1,0,1,1,1,1,0,2,1,1,0,0,0,0,0,1,2,1,1,0,0,0,0,3,3,0,1,0,0
1,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,1,0,2,0,1,1,1,4,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0
1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,2,0,0,2,2,0,1,0,2,2,1,0,1,2,0,2,0,1,0,0,1,0,1,0,0,0
0,0,0,2,1,0,0,1,1,0,4,0,1,1,0,1,3,1,2,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1
0,0,2,0,0,0,1,0,0,1,0,0,3,0,2,1,1,2,1,1,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,1,2,0,0,3
0,0,1,0,0,0,1,2,1,2,0,1,3,0,0,1,1,1,1,1,2,3,1,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1
0,0,0,0,1,1,1,0,1,0,1,0,2,0,3,0,0,1,0,0,1,2,0,2,2,1,1,0,0,1,0,1,1,0,2,1,0,0,0,2,0
1,0,0,1,2,3,0,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,1,1,0
0,1,0,2,0,1,0,0,1,2,1,0,0,0,1,2,2,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,1,1,0,1,0,0,0,1,0,2,3,0,0,1,0,0,0,2,1,0,3,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,2,2,0
0,0,0,1,0,0,0,1,0,0,1,1,1,0,2,1,0,1,2,2,3,0,3,0,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1
1,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,1,3,0,0,2,1,1,0,0,1,0,0,0,3,1,0,0,0,1,1,0,3,2,0
0,1,0,1,2,0,0,0,0,0,1,1,0,0,3,0,2,0,0,1,1,1,0,1,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,1
0,0,1,1,1,0,0,2,0,0,1,1,0,0,0,2,0,0,1,2,0,0,3,0,0,0,2,2,0,1,2,1,0,0,0,1,0,1,1,2,0
2,0,0,0,0,1,1,1,2,0,0,1,0,0,1,2,1,0,0,0,1,0,0,2,1,0,0,1,1,0,3,1,0,0,0,1,2,3,0,0,0
0,1,0,0,1,0,0,2,2,3,0,0,0,1,0,1,1,1,1,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,1,0,2,0
0,1,0,1,0,0,0,0,0,0,0,2,0,3,0,0,0,1,0,0,0,1,2,0,2,2,2,0,2,1,0,0,1,0,0,1,1,2,2,0,1
0,0,0,0,1,0,1,0,0,3,1,0,0,3,1,0,2,0,0,0,2,2,0,1,0,1,0,1,1,0,0,0,1,0,0,2,0,2,2,0,1
2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,2,2,0,1,1,0,0,1,1,0,1,0,1,1,1,2,0
2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,3,2,0,0,1,0,0,1,0,1,1,0,0,2,0,1,1,1,1,1,3,2
0,0,1,1,3,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,0,1,0,0,1,1,0,1,2,3,0,1,1,0,0,0,0,0,1,0,0
1,0,0,0,2,0,1,0,2,1,1,2,1,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,3,1,2,0,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,1,1,0,1,2,0,0,0,0,1,1,2,0,0,1,1,1,0,0,1,1,0,1,0,0
0,2,0,0,0,0,2,0,0,1,2,1,0,0,1,1,0,0,0,1,2,0,0,3,0,3,0,1,0,1,0,0,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,1,0,1,1,0,2,0,0,0,2,1,1,1,2
1,0,0,0,0,2,0,1,2,2,0,0,1,1,1,0,2,0,1,1,1,0,1,0,0,2,1,1,2,0,1,1,1,0,0,0,2,0,0,0,0
0,0,2,1,0,0,1,0,2,2,0,1,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,5,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,2,0,1,3,1,1,1,0,0,1,1,0,1,0,0,0,1,0,2,1,1,2,0,1,0,1,0,0,1,0,0,1
0,1,0,1,0,0,3,1,0,0,1,0,0,1,0,1,0,2,0,1,0,1,2,1,2,0,0,1,1,1,3,0,1,0,0,3,0,0,0,0,0
2,0,0,1,1,0,0,0,0,1,1,2,0,0,1,2,1,0,1,1,0,1,1,0,3,0,0,0,1,0,2,0,0,0,0,1,0,1,3,0,1
1,0,0,0,1,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,2,1,0,0,2,0,0,0,2,1,0,1,4,0
0,0,0,1,1,4,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,3,2,0,0,0,1,1,0,1,1,0,2,0,1,1
0,2,1,0,0,0,1,1,0,0,1,2,0,1,0,0,0,2,3,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,1,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,1,2,0,0,0,1,1,1,2,1,1
2,0,0,1,2,4,0,0,0,0,1,0,0,0,1,2,1,0,0,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,4
0,2,1,0,0,0,0,2,0,2,2,0,1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,2,1
1,1,0,2,0,2,0,2,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,1,0,2,0,0,1,0,1,0,0,0,1,0,1,0,0,3
1,1,0,2,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,2,1,0,0,3,0,1,1,2,0,1,2,3,1,0,1,0,1,1,1,0,0
1,0,1,1,0,0,2,1,1,2,0,1,1,1,1,1,0,1,1,0,0,0,0,1,2,1,1,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,0,0,1,0,0,1,1,0,1,4,2,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,1,2,0,2,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,1,4,1,1,1,0,2,0,0,0,0,1,1,0,0
0,1,0,0,0,0,0,2,1,3,0,0,2,0,1,1,1,1,0,2,1,1,0,0,0,0,0,1,2,1,1,0,0,0,1,3,3,0,1,0,0
2,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,1,0,2,0,1,1,1,4,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0
1,0,0,1,2,1,1,0,0,0,1,0,0,0,1,2,0,0,3,3,0,1,0,2,2,1,0,1,2,0,2,0,1,0,0,1,0,1,0,0,0
0,0,0,3,1,0,0,1,1,0,4,0,1,1,0,1,3,2,2,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,1,0,1,0,1,1
0,0,2,0,0,0,1,0,0,1,0,0,3,0,2,1,1,2,1,1,0,0,1,0,0,1,2,0,0,0,1,0,2,0,0,1,1,3,0,0,3
0,0,1,0,0,0,1,2,1,2,0,1,4,0,0,1,1,1,1,1,2,3,1,0,1,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0,1
0,0,1,0,1,1,1,0,1,0,1,0,2,0,3,0,0,1,0,0,1,2,0,2,2,1,1,0,0,2,0,1,1,0,2,1,0,0,0,2,0
2,0,0,2,2,3,0,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,1,1,1,1,0
0,1,0,2,1,1,0,0,1,2,1,0,0,1,1,2,2,1,0,1,1,0,0,1,0,2,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,0,1,0,0,0,1,0,2,3,0,0,1,0,0,0,2,1,0,3,1,0,0,0,2,0,0,2,0,0,0,1,0,1,0,2,3,0
0,0,0,1,0,0,0,1,0,0,1,1,1,0,2,2,0,1,2,2,3,0,3,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1
1,0,1,1,0,1,1,0,1,2,0,0,0,1,1,0,0,1,3,0,0,2,1,1,0,0,1,0,0,0,3,1,0,0,0,1,1,0,3,2,0
0,1,0,1,2,0,0,0,0,0,1,1,0,0,3,0,2,0,1,1,1,1,0,1,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,2,2
0,0,1,1,1,0,0,2,0,0,1,1,0,0,1,2,0,0,1,2,0,0,3,0,0,0,2,2,0,2,2,1,0,0,0,1,0,1,1,2,0
2,0,0,0,0,1,1,1,2,0,0,1,0,0,1,2,1,0,0,0,2,0,0,2,1,0,0,1,1,0,3,1,0,0,0,1,2,3,0,1,0
0,1,0,0,1,0,0,2,2,3,0,0,0,1,0,1,1,1,1,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,3,0,2,0
0,1,0,1,0,0,0,0,0,1,0,2,0,3,0,0,0,1,0,0,0,1,2,0,2,2,2,0,2,1,0,0,1,0,0,1,1,3,2,0,1
0,0,0,0,1,0,1,0,0,3,1,1,0,3,1,0,2,0,0,0,2,2,0,1,0,2,0,1,1,0,0,0,1,0,0,2,0,2,2,0,1
3,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,2,2,0,1,1,0,0,1,1,0,2,0,1,1,1,2,0
2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,3,2,0,0,1,0,1,1,0,1,1,0,0,2,0,1,1,1,1,1,3,2
0,0,1,1,3,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,3,3,0,1,1,0,0,0,0,0,1,0,0
1,0,0,0,2,0,1,0,2,1,1,2,1,1,2,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,3,1,2,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,1,1,0,1,2,0,0,0,0,1,1,2,0,0,1,1,1,0,0,2,2,0,1,0,0
0,2,0,0,0,0,2,0,0,2,2,1,0,0,1,1,0,0,0,1,2,0,0,3,0,3,0,1,1,1,0,0,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,2,1,0,1,0,1,0,2,0,1,1,0,2,0,0,0,2,1,1,1,2
1,0,0,0,0,2,0,1,2,2,0,0,1,1,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,1,1,0,0,0,2,0,0,0,1
0,0,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,5,0,1,0,1,0,0,0,0,0,1,0,0,2
1,0,1,1,1,0,0,1,0,3,0,1,3,1,1,1,0,0,1,1,0,1,0,0,1,1,0,2,1,1,2,0,1,0,1,0,0,1,0,0,1
0,1,0,1,0,0,3,1,0,0,2,0,0,1,0,1,0,2,0,1,0,1,2,1,2,1,0,1,1,1,3,0,1,0,0,3,0,0,0,0,0
2,0,0,1,1,0,0,0,0,1,1,2,0,0,1,2,1,0,1,2,0,1,1,0,3,0,0,0,1,0,2,0,0,0,1,1,0,1,3,0,1
1,0,0,1,1,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,1,2,1,0,0,2,0,0,0,2,1,0,2,4,0
0,0,1,1,1,5,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,3,2,0,0,0,1,1,0,1,1,0,2,0,1,1
0,2,1,0,0,0,1,1,0,0,1,2,0,1,0,0,0,3,3,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,2,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,2,2,0,0,0,1,1,2,2,1,1
2,0,0,1,2,4,0,0,0,0,1,1,0,0,1,2,1,0,1,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,4
0,2,1,0,0,0,0,2,0,2,2,0,1,1,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,3,1
1,1,0,2,0,2,0,2,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,2,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,3
1,1,0,2,0,1,1,0,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,3,0,2,1,2,0,1,2,3,1,0,1,0,1,1,1,0,0
1,0,1,1,0,0,2,1,1,2,0,1,1,1,1,1,0,1,1,0,1,0,0,1,2,2,1,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,0,0,1,0,0,1,1,0,1,4,2,1,1,1,0,0,2,0,1,1,2,0,0,1,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,1,2,0,2,0,1,0,1,2,0,1,0,0,0,2,1,0,0,1,2,4,2,1,1,0,2,0,0,0,0,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,2,0,1,1,1,1,0,2,1,1,0,0,0,0,0,1,2,2,1,0,0,0,1,3,3,0,1,0,0
2,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,1,0,2,2,1,1,1,4,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0
1,0,0,1,2,1,1,0,0,0,1,0,0,0,2,2,0,0,3,3,0,1,0,2,2,1,0,1,2,0,2,1,1,0,0,1,0,1,0,0,0
0,0,0,3,1,0,0,1,1,0,4,0,1,2,0,1,3,2,2,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,2,0,1,0,1,1
0,0,2,0,0,0,1,0,0,1,0,0,3,0,2,1,1,2,1,2,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,2,0,1,4,0,0,1,1,1,1,1,2,3,1,0,1,0,0,1,0,0,2,0,1,0,0,0,1,0,1,0,1
0,0,1,0,1,1,1,0,1,0,1,0,2,1,3,0,0,1,0,0,1,2,0,2,2,1,1,0,0,2,0,1,1,0,2,1,0,0,0,3,0
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,2,1,0,1,1,0,1,1,2,0,0,0,0,0,2,1,1,1,0
0,1,0,2,1,1,0,0,1,2,1,0,0,1,1,2,2,1,0,1,2,0,0,1,0,3,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,1,0,0,0,1,0,2,3,0,0,1,0,0,0,2,1,0,3,1,0,0,0,2,0,0,2,0,0,0,1,0,2,0,2,3,0
0,0,0,1,0,0,0,1,0,0,1,1,1,0,2,2,0,1,3,2,4,0,3,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1
1,0,1,1,0,1,1,0,1,2,0,0,0,1,1,0,0,2,3,0,0,2,1,1,0,0,1,0,0,0,3,1,0,0,0,1,1,0,3,2,1
0,1,0,1,2,0,0,0,0,0,1,1,0,0,3,0,2,0,1,1,1,1,0,1,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,4,2
0,0,2,1,1,0,0,2,0,0,1,1,0,0,1,2,0,0,1,2,0,0,3,0,0,0,2,2,0,3,2,1,0,0,0,1,0,1,1,2,0
2,0,1,0,0,1,1,1,2,0,0,1,0,0,1,2,1,0,0,0,2,0,0,2,1,0,0,1,1,0,3,1,0,0,0,1,2,4,0,1,0
0,1,0,0,2,0,0,2,2,3,0,1,0,1,0,1,1,1,1,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,3,0,2,0
0,1,0,2,0,0,0,0,0,1,0,2,0,3,0,0,0,1,0,0,0,1,2,0,2,2,2,0,2,1,0,1,1,0,0,1,1,3,2,0,1
0,0,0,0,1,0,1,0,0,3,1,1,0,3,1,0,2,0,0,0,2,2,0,1,0,2,0,1,1,0,0,0,1,0,0,2,0,4,2,0,1
3,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,2,2,0,1,1,0,0,1,1,0,3,0,1,1,1,2,0
2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,1,3,2,0,0,1,0,1,1,0,1,1,0,0,2,0,1,1,1,1,1,3,2
0,0,1,1,5,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,0,1,1,0,1,1,0,1,3,3,0,1,1,0,0,0,0,0,1,0,0
1,0,0,0,2,0,1,0,2,1,1,2,1,1,2,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,3,1,2,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,1,1,0,1,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,3,2,0,1,0,0
0,3,0,0,0,1,2,0,0,2,2,1,0,0,1,1,0,0,0,1,2,0,0,3,0,3,0,1,1,1,0,0,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,0,2,0,0,1,0,0,0,1,0,1,2,1,0,1,0,2,1,2,0,1,1,0,2,0,0,0,2,1,1,1,2
1,0,0,0,0,2,0,1,2,2,0,0,1,1,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,0,1
0,0,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,5,1,1,0,1,0,0,0,0,0,1,1,0,2
1,0,1,1,1,0,1,1,0,4,0,1,3,1,1,1,0,0,1,1,0,1,0,0,1,1,0,2,1,1,2,0,1,0,1,0,0,1,0,0,1
0,1,0,2,0,0,3,2,0,0,2,0,0,1,0,1,0,2,0,1,0,1,2,1,2,1,0,1,1,1,3,0,1,0,0,3,0,0,0,0,0
2,0,0,1,2,0,0,0,0,1,1,2,0,0,1,2,1,0,1,2,0,1,1,0,3,0,0,0,1,0,2,0,0,0,2,1,0,1,3,0,1
1,0,0,1,1,1,1,2,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,2,1,0,0,2,0,0,0,2,1,0,2,4,1
0,0,1,2,1,5,0,0,0,0,0,0,0,1,1,1,2,0,1,0,0,0,2,0,1,0,3,2,1,0,0,1,1,0,1,1,0,2,0,1,1
0,2,1,0,0,0,1,1,0,0,1,2,1,1,0,0,0,3,4,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,2,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,1,0,0,0,2,0,1,0,0,0,1,0,1,1,1,0,0,2,2,0,0,0,1,1,2,2,1,2
3,0,0,1,2,4,0,0,0,0,1,1,0,0,1,2,2,0,1,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,4
0,2,1,1,0,0,0,2,1,2,2,0,1,1,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,3,1
1,1,0,2,0,2,0,2,2,0,1,0,1,0,0,0,1,1,1,0,1,1,1,2,2,0,2,0,0,1,0,1,0,0,0,2,0,1,0,0,3
1,1,0,2,0,1,1,1,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,3,0,2,1,2,0,1,2,3,1,0,1,0,1,1,1,0,1
1,0,1,1,0,0,2,1,1,2,0,1,2,1,1,1,0,1,1,0,1,0,0,1,2,2,2,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,0,0,1,0,0,1,1,0,1,4,2,1,1,1,0,0,3,0,1,1,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,1,2,0,3,0,1,0,1,2,0,1,0,1,0,2,1,0,0,1,2,4,2,1,1,0,2,0,0,0,0,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,2,0,1,1,1,1,0,2,1,1,0,1,0,0,0,2,2,2,1,0,0,0,1,3,3,0,1,0,0
2,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,2,0,2,2,1,1,1,4,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0
2,0,0,1,2,1,1,0,0,0,1,0,0,1,2,2,0,0,3,3,0,1,0,2,2,1,0,1,2,0,2,1,1,0,0,1,0,1,0,0,0
0,0,0,3,1,0,0,1,1,0,4,0,2,2,0,1,3,2,2,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,2,0,1,0,1,1
0,0,3,0,0,0,1,0,0,1,0,0,4,0,2,1,1,2,1,2,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,3,0,1,4,0,0,1,1,1,1,1,2,3,1,0,1,0,0,1,0,0,2,1,1,0,0,0,1,0,1,0,1
0,0,2,0,1,1,1,0,1,0,1,0,2,1,3,0,0,1,0,0,2,2,0,2,2,1,1,0,0,2,0,1,1,0,2,1,0,0,0,3,0
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,3,1,0,1,1,0,1,1,3,0,0,0,0,0,2,1,1,1,0
0,1,0,2,1,1,0,0,2,2,1,0,0,1,2,2,2,1,0,1,2,0,0,1,0,3,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,1,0,0,0,1,1,2,3,0,0,1,0,0,1,2,1,0,3,1,0,0,0,2,0,0,2,0,0,0,1,0,2,0,2,3,0
0,0,0,1,0,0,0,1,0,0,1,1,1,1,2,2,0,2,3,2,4,0,3,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,2,1
1,0,1,1,1,2,1,0,1,2,0,0,0,1,1,0,0,2,3,0,0,2,1,1,0,0,1,0,0,0,3,1,0,0,0,1,1,0,3,2,1
0,1,0,1,2,0,0,0,0,0,2,1,0,0,3,0,3,0,1,1,1,1,0,1,2,0,2,0,2,0,0,0,0,0,2,1,0,0,1,4,2
0,0,2,1,1,0,0,2,0,0,1,1,0,0,1,2,0,0,1,2,1,0,3,1,0,0,2,2,0,3,2,1,0,0,0,1,0,1,1,2,0
2,0,1,0,0,1,1,1,2,0,0,1,0,0,2,2,1,0,0,0,2,0,0,2,1,0,0,1,1,0,3,1,0,0,0,1,2,4,0,1,1
0,1,0,0,2,0,0,2,2,3,0,2,0,2,0,1,1,1,1,1,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,0,3,0,2,0
0,1,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,1,0,0,0,1,2,0,2,2,2,0,2,1,0,1,1,0,0,1,1,3,2,0,1
0,0,1,0,1,0,1,0,0,3,1,1,0,3,1,1,2,0,0,0,2,2,0,1,0,2,0,1,1,0,0,0,1,0,0,2,0,4,2,0,1
4,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,2,2,0,1,1,0,1,1,1,0,3,0,1,1,1,2,0
2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,0,0,1,3,2,0,0,1,0,1,1,0,1,1,0,0,2,0,1,2,1,1,1,3,2
0,0,1,1,5,1,2,0,0,0,0,1,2,1,0,2,1,0,0,1,1,1,2,0,1,1,0,1,3,3,0,1,1,0,0,0,0,0,1,0,0
1,0,0,0,2,0,1,0,2,1,1,2,1,1,2,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,3,1,2,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,1,1,0,2,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,3,2,0,1,0,1
0,3,0,0,0,1,3,0,0,2,2,1,0,0,1,1,0,0,0,1,2,0,0,3,0,3,0,1,1,1,0,1,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,1,2,0,0,1,0,0,0,1,0,1,2,1,0,1,0,2,1,2,0,1,1,0,2,0,0,1,2,1,1,1,2
1,0,0,0,1,2,0,1,3,2,0,0,1,1,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,0,1
0,0,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,0,1,0,1,0,1,1,1,1,0,5,2,1,0,1,1,0,0,0,0,1,1,0,2
1,0,1,1,1,0,1,1,0,4,0,1,3,1,1,1,0,0,1,1,0,1,0,1,1,1,0,2,1,1,3,0,1,0,1,0,0,1,0,0,1
0,1,0,2,0,0,3,2,0,0,2,0,0,1,0,1,0,2,1,1,0,1,2,1,2,1,0,1,1,1,3,0,2,0,0,3,0,0,0,0,0
2,0,0,1,2,0,0,0,0,1,1,2,1,0,1,2,1,0,1,2,0,1,1,0,3,0,0,0,1,0,2,0,0,0,2,1,0,1,3,0,2
1,0,0,1,1,1,1,2,2,1,0,1,0,0,0,2,0,1,1,0,0,1,0,1,1,0,1,2,1,0,0,2,0,0,0,2,1,0,2,4,1
0,0,1,2,1,5,0,0,0,0,0,1,0,1,1,1,2,0,1,0,0,0,2,0,1,0,3,2,1,0,0,1,1,0,1,2,0,2,0,1,1
0,2,1,1,0,0,1,1,0,0,1,2,1,1,0,0,0,3,4,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,3,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,1,0,0,0,2,0,2,0,0,0,1,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,1,2
3,0,0,1,2,4,0,0,0,0,1,1,0,0,1,2,2,0,1,2,2,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,4
0,2,2,1,0,0,0,2,1,2,2,0,1,1,1,2,1,1,0,1,1,1,0,2,0,1,0,1,0,2,0,1,0,0,0,1,0,0,0,3,1
1,1,0,2,0,2,0,2,2,0,1,1,1,0,0,0,1,1,1,0,1,1,1,2,2,0,2,0,0,1,0,1,0,0,0,2,0,2,0,0,3
1,1,0,2,0,1,1,2,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,3,1,2,1,2,0,1,2,3,1,0,1,0,1,1,1,0,1
1,0,1,1,0,0,2,1,1,2,0,1,2,1,2,1,0,1,2,0,1,0,0,1,2,2,2,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,0,0,1,0,0,1,1,0,1,4,2,1,1,2,0,0,4,0,1,1,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,2,2,0,3,0,1,0,2,2,0,1,0,1,0,2,1,0,0,1,2,4,2,1,1,0,2,0,0,0,0,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,2,0,1,1,1,1,0,2,1,2,0,1,0,0,0,2,3,2,1,0,0,0,1,3,3,0,1,0,0
2,0,0,0,1,1,1,0,1,0,0,4,1,0,1,1,2,1,2,1,2,2,1,1,1,4,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0
2,0,0,2,2,1,1,0,0,0,1,0,0,1,2,2,0,0,3,3,0,1,0,2,2,1,0,1,2,0,2,1,1,0,0,1,0,1,0,0,1
0,0,0,3,1,0,0,1,1,0,5,0,2,2,0,1,3,2,2,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,2,1,1,0,1,1
0,0,3,0,0,0,1,0,0,1,0,1,4,0,2,1,2,2,1,2,0,0,1,0,0,1,2,0,0,0,1,0,2,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,3,0,1,4,0,0,1,1,1,1,1,2,3,1,0,2,0,0,1,0,0,2,1,2,0,0,0,1,0,1,0,1
0,0,2,0,1,1,1,0,1,0,1,0,2,1,3,0,0,2,0,0,2,2,0,2,2,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,0
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,1,0,0,0,2,1,0,3,1,0,1,1,0,1,1,3,1,0,0,0,0,2,1,1,1,0
1,1,0,2,1,1,0,0,2,2,1,0,0,1,2,2,2,1,0,1,3,0,0,1,0,3,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,1,0,0,0,1,1,2,3,0,0,1,0,0,1,2,1,0,3,2,0,0,0,2,0,0,2,0,0,0,2,0,2,0,2,3,0
0,0,0,1,1,0,0,1,0,0,1,1,1,1,2,2,0,2,3,2,4,0,3,0,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1
2,0,1,1,1,2,1,0,1,2,0,0,0,1,1,0,0,2,3,0,0,2,1,1,0,0,1,0,0,0,3,1,0,0,0,1,1,0,4,2,1
0,1,0,1,2,0,0,0,0,0,2,1,0,0,3,0,4,0,1,1,1,1,0,1,3,0,2,0,2,0,0,0,0,0,2,1,0,0,1,4,2
0,1,2,1,1,0,0,2,0,0,1,1,1,0,1,2,0,0,1,2,1,0,3,1,0,0,2,2,0,3,2,1,0,0,0,1,0,1,1,2,0
2,0,1,0,0,1,1,1,2,0,0,1,0,0,2,2,1,0,0,1,2,0,0,3,1,0,0,1,1,0,3,1,0,0,0,1,2,4,0,1,1
0,1,0,0,2,0,0,2,2,3,0,2,0,2,0,1,1,1,1,2,2,1,0,1,0,0,1,2,0,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,1,0,0,1,1,2,0,2,2,2,0,2,1,0,1,1,0,0,1,1,3,2,0,1
0,0,1,0,1,0,1,0,0,3,1,1,0,3,1,1,2,0,0,0,4,2,0,1,0,2,0,1,1,0,0,0,1,0,0,2,0,4,2,0,1
4,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,2,0,1,2,1,3,2,0,1,1,0,1,1,1,0,3,0,1,1,1,2,0
2,0,1,1,0,1,1,1,0,0,0,0,0,1,0,2,1,0,1,3,2,0,0,1,0,2,1,0,1,1,0,0,2,0,1,2,1,1,1,3,2
0,0,1,1,5,1,2,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,2,0,1,1,0,1,3,3,0,1,1,0,0,0,0,0,1,0,0
1,0,0,0,2,0,1,1,2,1,1,2,1,1,2,0,0,2,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,4,1,2,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,3,1,0,2,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,3,2,0,1,0,1
0,3,0,0,0,1,3,0,0,2,2,1,0,0,1,1,0,0,1,1,2,0,0,3,0,3,0,1,1,1,1,1,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,1,2,0,0,1,0,0,0,1,0,1,2,2,0,1,0,2,1,2,0,1,1,0,2,0,0,1,3,1,1,1,2
1,0,0,0,1,2,0,1,3,2,1,0,1,2,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,0,1
0,0,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,1,1,0,1,0,1,1,1,1,0,5,2,2,0,1,1,0,0,0,0,1,1,0,2
1,0,1,1,1,0,1,1,0,4,0,1,3,1,1,1,0,0,1,1,0,1,0,1,1,1,1,2,1,1,3,1,1,0,1,0,0,1,0,0,1
0,1,0,2,0,0,3,2,0,0,2,0,0,1,0,1,0,2,1,1,0,1,2,1,2,1,0,1,1,1,3,0,2,0,0,3,0,1,1,0,0
3,0,0,1,2,0,0,0,0,1,1,2,2,0,1,2,1,0,1,2,0,1,1,0,3,0,0,0,1,0,2,0,0,0,2,1,0,1,3,0,2
1,0,0,1,1,1,1,2,2,1,1,1,0,0,0,2,0,1,1,0,0,1,0,1,1,0,2,2,1,0,0,2,0,0,0,2,1,0,2,4,1
0,0,1,2,1,5,0,0,0,0,0,1,0,1,1,1,3,0,1,0,0,1,2,0,1,0,3,2,1,0,0,1,1,0,1,2,0,2,0,1,1
0,2,1,1,0,0,1,1,2,0,1,2,1,1,0,0,0,3,4,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,3,0,0,0
1,1,1,0,2,0,1,1,0,1,1,1,1,1,0,0,0,2,0,3,0,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,1,2
3,0,0,1,2,4,0,0,0,0,2,1,0,0,1,2,2,0,1,2,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,4
0,2,2,1,0,0,0,2,1,2,2,1,1,1,1,2,1,1,0,1,1,1,0,2,0,2,0,1,0,2,0,1,0,0,0,1,0,0,0,3,1
1,2,0,2,0,2,0,2,2,0,1,1,1,0,0,0,1,1,1,0,1,1,1,2,2,0,3,0,0,1,0,1,0,0,0,2,0,2,0,0,3
1,1,0,2,0,1,1,2,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,4,1,2,1,2,0,1,2,3,1,0,1,0,2,1,1,0,1
1,0,1,3,0,0,2,1,1,2,0,1,2,1,2,1,0,1,2,0,1,0,0,1,2,2,2,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,1,0,1,0,0,1,1,0,1,4,2,1,1,3,0,0,4,0,1,1,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,0,0,0
0,0,1,1,1,0,1,2,2,0,3,0,1,0,2,2,0,1,0,1,0,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,2,0,1,1,1,1,0,2,1,2,0,1,0,0,0,2,4,2,1,0,0,0,1,3,3,0,2,0,0
2,0,0,0,1,2,1,0,1,0,0,4,1,0,1,1,2,1,2,1,2,2,1,1,1,4,0,0,0,0,1,0,1,0,1,1,0,2,0,1,0
2,0,0,3,2,1,1,0,0,0,1,0,0,1,2,2,0,0,3,3,1,1,0,2,2,1,0,1,2,0,2,1,1,0,0,1,0,1,0,0,1
0,0,0,3,1,0,0,1,1,0,6,0,2,2,0,1,3,2,2,0,0,0,0,1,2,2,0,0,0,2,1,0,0,0,0,2,1,1,0,1,1
0,0,3,0,1,0,1,0,0,1,0,1,4,0,2,1,2,2,1,2,0,0,1,0,0,1,2,0,0,0,1,0,3,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,3,0,1,4,0,0,1,1,1,1,1,2,4,1,0,2,0,0,1,0,0,2,1,2,0,0,0,1,0,1,0,2
1,0,2,0,1,1,1,0,1,0,1,0,2,1,3,0,0,2,0,0,2,2,0,2,2,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,1,1,0,0,2,1,0,3,1,0,1,1,0,1,1,3,1,0,0,0,0,2,1,1,2,0
1,2,0,2,1,2,0,0,2,2,1,0,0,1,2,2,2,1,0,1,3,0,0,1,0,3,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,1,0,0,0,1,1,2,3,0,0,1,1,1,1,2,1,0,3,2,0,0,0,2,0,0,2,0,0,0,2,0,2,0,2,3,0
0,0,0,1,2,0,0,1,0,0,1,1,1,1,2,2,0,2,3,2,4,0,3,0,2,1,0,1,0,1,1,1,1,0,1,0,0,0,0,2,1
2,0,1,1,1,2,1,0,1,2,0,0,0,1,1,0,0,2,3,0,0,2,1,1,0,0,1,0,0,0,4,1,1,0,0,1,1,0,4,2,1
0,1,0,1,2,0,0,0,0,0,2,1,0,0,3,0,4,0,1,1,1,1,0,3,3,0,2,0,2,0,0,0,0,0,2,1,0,0,1,4,2
0,1,2,1,1,0,0,2,0,0,1,1,1,0,1,2,0,0,1,2,1,0,3,1,0,0,2,2,0,4,2,1,0,0,0,2,0,1,1,2,0
2,0,1,0,1,1,1,1,2,0,0,1,0,0,2,2,1,0,0,1,2,0,0,3,1,0,0,1,1,0,3,1,0,0,1,1,2,4,0,1,1
0,1,0,0,2,0,0,2,2,3,0,2,0,2,0,1,1,1,1,2,2,1,0,2,0,0,2,2,0,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,1,0,0,1,1,2,0,3,2,2,0,2,1,0,1,2,0,0,1,1,3,2,0,1
0,0,1,0,1,0,1,0,0,3,1,1,0,4,1,1,2,0,0,0,4,2,0,1,0,2,0,1,2,0,0,0,1,0,0,2,0,4,2,0,1
4,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,3,0,1,2,1,3,2,0,1,1,1,1,1,1,0,3,0,1,1,1,2,0
2,0,1,1,0,1,1,1,0,0,1,0,0,1,0,2,1,0,1,3,2,0,0,1,0,2,1,0,1,1,0,0,2,0,1,2,2,1,1,3,2
0,0,1,1,5,2,2,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,2,0,1,1,0,1,3,3,0,1,1,0,1,0,0,0,1,0,0
1,0,0,0,2,0,1,1,2,1,1,2,1,1,2,0,0,2,0,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,4,1,2,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,0,0,2,1,3,1,0,2,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,4,3,0,1,0,1
0,3,0,0,0,1,3,0,0,2,2,1,0,0,1,1,0,0,1,2,2,0,1,3,0,3,0,1,1,1,1,1,0,0,1,4,0,0,0,1,1
2,0,1,0,0,1,1,1,1,1,2,1,0,1,0,0,0,1,0,1,2,2,0,1,0,2,1,2,0,1,1,0,2,0,0,1,3,2,1,1,2
1,0,0,0,1,2,0,1,3,2,1,0,1,3,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,1,1
0,1,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,1,1,0,1,0,1,1,1,1,0,5,2,2,1,1,1,0,0,0,0,1,1,0,2
1,0,1,1,2,0,1,1,0,4,0,1,3,1,1,1,0,0,1,1,0,1,0,1,1,1,1,2,1,1,3,1,1,0,1,0,0,2,0,0,1
0,1,0,2,0,0,3,2,0,0,2,0,0,1,0,2,0,2,1,1,0,1,2,1,2,1,0,1,1,2,3,0,2,0,0,3,0,1,1,0,0
3,0,0,1,2,0,0,0,0,1,1,2,2,0,1,2,2,0,1,2,1,1,1,0,3,0,0,0,1,0,2,0,0,0,2,1,0,1,3,0,2
1,0,0,1,1,1,1,2,2,1,1,1,0,0,0,2,0,1,1,0,0,2,0,1,1,0,2,2,1,0,0,2,0,0,0,2,2,0,2,4,1
0,0,1,2,1,5,0,0,0,0,0,1,0,1,1,1,3,1,1,0,0,1,2,0,1,0,3,2,1,0,1,1,1,0,1,2,0,2,0,1,1
0,3,1,2,0,0,1,1,2,0,1,2,1,1,0,0,0,3,4,1,0,1,1,0,0,0,1,4,0,0,1,0,2,0,1,1,0,3,0,0,0
1,1,1,1,2,0,1,1,0,1,1,1,1,1,0,0,0,2,0,3,0,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,2,2
3,0,0,1,2,4,0,1,1,0,2,1,0,0,1,2,2,0,1,2,2,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,4
0,2,2,1,0,0,0,2,1,2,2,1,1,2,1,2,1,1,0,1,1,1,0,2,0,2,0,1,0,2,0,2,0,0,0,1,0,0,0,3,1
1,2,0,2,0,2,0,2,2,0,1,1,1,0,1,1,1,1,1,0,1,1,1,2,2,0,3,0,0,1,0,1,0,0,0,2,0,2,0,0,3
1,1,0,2,0,1,1,2,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,4,2,2,1,2,0,2,2,3,1,0,1,0,2,1,1,0,1
1,0,1,3,0,0,2,1,1,3,0,1,2,1,2,1,0,1,2,0,1,0,0,1,3,2,2,0,0,2,0,0,1,0,2,0,2,1,1,0,0
1,4,1,0,1,0,0,1,1,0,1,4,2,1,1,3,0,0,4,0,1,1,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,1,1,0
0,0,2,1,1,0,2,2,2,0,3,0,1,0,2,2,0,1,0,1,0,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,3,0,1,1,1,1,0,2,1,2,0,1,1,0,0,2,4,2,1,0,0,0,1,3,3,0,2,0,0
2,0,0,0,1,2,1,0,1,0,0,4,1,0,1,1,2,1,2,1,2,2,1,1,1,4,0,0,0,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,1,1,0,1,0,1,0,0,1,2,2,0,0,3,3,1,1,0,2,2,1,0,2,2,0,2,1,1,0,0,1,0,1,0,0,1
0,0,0,3,1,0,0,1,1,1,6,0,2,2,0,1,3,2,2,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,2,1,1,0,1,1
0,0,4,0,1,0,1,0,0,1,0,1,4,0,2,1,2,2,1,2,0,1,1,0,0,1,2,0,0,0,1,0,3,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,3,0,1,4,0,0,1,1,2,1,1,2,4,1,0,2,0,0,1,0,0,2,2,2,0,0,0,1,0,1,0,2
1,0,2,0,1,1,2,0,1,0,1,0,2,1,3,0,0,2,0,1,2,2,0,2,2,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,1,1,0,0,2,1,0,3,1,0,1,1,0,1,2,3,1,0,0,0,1,2,1,1,2,0
2,2,0,2,1,2,0,0,2,2,1,0,0,1,2,2,2,1,0,1,3,1,0,1,0,3,0,1,0,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,1,0,0,0,1,2,2,3,0,0,1,1,1,1,2,1,0,4,2,0,0,0,2,0,0,2,0,0,0,2,0,2,0,2,3,0
0,0,0,1,2,0,0,1,0,0,1,1,1,2,2,2,0,2,3,2,5,0,3,0,2,1,0,1,0,1,1,1,1,0,1,0,0,0,0,2,1
2,0,1,1,1,2,2,0,1,2,0,0,0,1,1,0,0,2,3,0,0,2,2,1,0,0,1,0,0,0,4,1,1,0,0,1,1,0,4,2,1
0,1,0,1,2,0,0,0,0,0,3,1,0,0,3,0,4,0,1,1,1,1,0,3,3,0,2,0,2,0,0,0,0,0,2,2,0,0,1,4,2
0,1,2,1,1,0,0,2,0,0,1,1,1,0,2,2,0,0,1,2,1,0,3,1,0,0,2,2,0,4,3,1,0,0,0,2,0,1,1,2,0
2,0,1,0,1,1,1,1,2,0,0,1,0,0,2,3,1,0,0,1,2,0,0,3,1,0,0,1,1,0,3,1,0,0,1,2,2,4,0,1,1
0,1,0,0,2,0,2,2,2,3,0,2,0,2,0,1,1,1,1,2,2,1,0,2,0,0,2,2,0,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,1,0,0,2,1,3,0,3,2,2,0,2,1,0,1,2,0,0,1,1,3,2,0,1
0,0,1,0,1,0,1,0,0,3,1,1,0,4,1,1,2,0,0,0,4,2,0,2,0,2,0,1,2,0,0,0,2,0,0,2,0,4,2,0,1
4,1,1,1,1,0,0,2,0,0,0,1,0,1,0,1,0,0,0,3,0,1,2,1,3,2,0,1,1,1,1,1,1,0,3,0,1,1,2,2,0
2,0,1,1,0,1,1,1,0,0,1,0,0,1,0,3,1,0,1,4,2,0,0,1,0,2,1,0,1,1,0,0,2,0,1,2,2,1,1,3,2
0,0,1,1,5,2,2,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,2,0,1,1,0,1,3,3,1,1,1,0,1,0,0,1,1,0,0
1,0,0,0,2,0,2,1,2,1,1,2,1,1,2,0,0,2,0,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,4,1,3,1,1,0,3
0,1,1,0,0,0,1,0,0,2,3,2,1,0,2,1,3,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,4,3,0,1,0,1
0,3,0,0,0,1,3,0,0,2,2,1,0,0,1,1,0,0,1,2,2,0,1,4,0,3,0,1,1,1,1,1,0,0,1,4,0,1,0,1,1
2,0,1,0,0,1,1,1,1,1,2,1,0,1,0,0,0,1,0,1,2,2,0,1,0,2,1,2,0,1,1,0,3,0,0,1,3,2,2,1,2
2,0,1,0,1,2,0,1,3,2,1,0,1,3,1,0,2,0,1,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,1,1
0,1,2,1,1,0,2,0,2,2,0,1,0,0,0,1,2,1,1,0,1,0,1,1,1,1,0,5,2,2,1,1,1,0,0,1,1,1,1,0,2
1,0,1,2,2,0,1,1,0,4,0,1,3,1,1,1,0,0,1,1,0,1,0,1,1,1,1,2,1,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,2,0,0,4,2,0,0,2,0,0,1,0,2,0,2,1,1,0,1,2,2,2,1,0,1,1,2,3,0,2,0,0,3,0,1,1,0,0
3,1,0,1,2,0,0,0,0,1,1,2,2,0,1,2,2,0,1,2,1,1,1,0,3,0,0,0,1,0,2,0,0,0,2,1,0,1,3,0,3
1,0,0,1,2,1,1,2,2,1,1,1,0,0,0,2,0,1,1,0,0,2,0,1,1,0,2,2,1,0,1,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,0,0,1,0,2,1,1,3,1,1,0,0,1,2,0,1,0,3,2,1,0,1,1,1,0,1,2,0,2,0,1,1
0,4,1,2,0,0,1,1,2,0,1,2,1,1,0,0,0,3,4,1,0,1,1,0,0,0,1,4,1,0,1,0,2,0,1,1,0,3,0,0,0
1,1,1,1,2,0,1,1,1,1,1,1,1,1,0,0,0,2,0,3,1,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,2,2
3,0,0,1,2,4,0,1,1,0,2,1,0,0,1,2,2,0,1,3,3,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,4
0,2,2,1,0,0,0,2,1,2,2,1,1,2,1,2,1,1,0,1,1,1,0,3,0,2,0,1,0,2,1,2,0,0,0,1,0,0,0,3,1
1,2,0,2,1,2,0,2,2,0,1,1,1,0,1,1,1,1,1,0,1,1,1,2,2,0,4,0,0,1,0,1,0,0,0,2,0,2,0,0,3
1,1,0,2,0,1,2,2,0,2,0,0,0,0,1,0,0,0,1,2,1,0,0,4,2,2,1,2,0,2,2,3,1,0,1,0,2,1,1,0,2
1,0,1,3,0,0,2,1,1,3,0,1,3,1,2,1,0,1,2,0,1,0,0,1,3,2,2,0,0,2,0,0,1,0,2,0,2,1,2,0,0
1,4,1,0,2,0,0,1,1,0,2,4,2,1,1,3,0,0,4,0,1,1,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,1,1,0
0,0,2,1,1,0,3,2,2,1,3,0,1,0,2,2,0,1,0,1,0,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,0,0,0,2,1,3,0,0,3,0,1,1,1,1,0,2,1,2,0,1,1,1,0,2,4,3,1,0,0,0,1,3,3,0,2,0,0
2,0,1,0,1,2,1,0,1,0,0,4,1,0,1,1,2,2,2,1,2,2,1,1,1,4,0,0,0,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,2,1,0,1,0,1,0,0,1,2,2,0,0,3,3,1,1,0,2,2,1,0,2,2,0,2,1,1,0,0,1,0,1,0,1,1
0,0,0,3,1,0,0,1,1,1,6,0,2,3,0,1,3,2,2,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,3,1,1,0,1,1
0,0,4,0,1,0,1,0,0,1,0,2,4,0,2,2,2,2,1,2,0,1,1,0,0,1,2,0,0,0,1,0,3,0,1,1,1,3,0,0,3
0,0,1,0,0,0,1,2,2,3,0,1,4,1,0,1,1,2,1,1,2,4,1,0,2,1,0,1,0,0,2,2,2,0,0,0,1,0,1,0,2
1,0,2,0,1,1,2,0,1,0,1,0,2,1,3,0,0,2,0,1,2,2,0,2,4,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,1,2,2,3,0,1,0,0,1,0,0,2,1,1,1,0,0,2,1,0,3,1,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,2,0,0,2,2,1,0,0,1,2,2,2,1,0,1,3,1,0,1,0,3,0,1,1,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,2,0,0,0,1,2,2,3,0,0,1,1,1,1,2,1,0,4,2,0,0,0,2,0,0,2,0,0,0,2,0,2,0,2,4,0
0,0,0,1,2,0,0,1,0,0,1,1,1,2,2,2,0,2,3,2,5,0,3,0,2,1,1,1,0,1,1,1,1,0,2,0,0,0,0,2,1
2,0,1,1,1,2,2,0,1,2,0,0,0,2,1,0,1,2,3,0,0,2,2,1,0,0,1,0,0,0,4,1,1,0,0,1,1,0,4,2,1
0,1,0,1,2,0,0,0,0,0,3,1,0,0,3,1,4,0,1,1,1,1,0,3,3,0,2,0,2,0,0,0,0,0,2,2,0,1,1,4,2
0,1,2,2,1,0,0,2,0,0,1,1,1,0,2,2,0,0,1,2,1,0,3,1,0,0,2,2,0,4,3,1,0,0,0,2,1,1,1,2,0
2,0,1,0,1,1,1,1,2,0,0,1,0,0,2,3,1,0,0,1,2,0,0,3,1,0,0,1,1,0,3,2,0,0,2,2,2,4,0,1,1
0,1,0,0,2,1,2,2,2,3,0,2,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,0,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,1,1,0,2,1,3,0,3,2,2,0,2,1,1,1,2,0,0,1,1,3,2,0,1
0,0,1,0,2,0,1,0,0,3,1,1,0,4,1,1,2,0,0,0,4,2,0,2,0,2,1,1,2,0,0,0,2,0,0,2,0,4,2,0,1
4,1,1,1,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,3,1,1,2,1,3,2,0,1,1,1,1,1,1,0,3,0,1,1,2,2,0
3,0,1,1,0,1,1,1,0,0,1,0,1,1,0,3,1,0,1,4,2,0,0,1,0,2,1,0,1,1,0,0,2,0,1,2,2,1,1,3,2
0,0,1,1,5,2,2,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,2,0,2,1,0,2,3,3,1,1,1,0,1,0,0,1,1,0,0
1,1,0,0,2,0,2,1,2,1,1,2,1,1,2,0,0,2,0,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,5,1,3,1,1,0,3
0,1,1,0,0,0,1,1,0,2,3,2,1,0,2,2,3,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,1,0,0,4,3,0,1,0,1
0,3,0,0,0,1,3,0,0,2,2,1,1,0,1,1,0,0,1,2,2,0,1,4,0,3,0,1,1,2,1,1,0,0,1,4,0,1,0,1,1
2,0,1,0,0,1,1,1,1,1,2,1,0,3,0,0,0,1,0,1,2,2,0,1,0,2,1,2,0,1,1,0,3,0,0,1,3,2,2,1,2
2,0,1,0,1,2,0,1,3,2,1,1,1,3,1,0,2,0,2,2,1,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,2,1,0,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,0,1,2,1,1,0,1,0,1,1,1,1,0,5,2,2,1,1,1,0,0,1,1,1,1,0,2
1,1,1,2,2,0,1,1,0,4,0,1,3,1,1,2,0,0,1,1,0,1,0,1,1,1,1,2,1,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,2,0,0,5,2,0,0,2,0,0,1,1,2,0,2,1,1,0,1,2,2,2,1,0,1,1,2,3,0,2,0,0,3,0,1,1,0,0
3,1,0,1,3,0,0,0,0,1,1,2,2,0,1,2,2,0,1,2,1,1,1,0,3,0,0,0,1,0,2,0,0,0,3,1,0,1,3,0,3
1,0,0,1,2,1,1,2,2,1,1,1,0,0,0,2,0,1,1,0,0,2,0,1,1,0,2,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,1,0,1,0,2,1,1,3,1,1,0,0,1,2,0,1,0,3,2,1,0,1,1,1,0,1,2,1,2,0,1,1
0,4,1,2,0,0,1,1,2,0,1,2,2,1,0,0,0,3,4,2,0,1,1,0,0,0,1,4,1,0,1,0,2,0,1,1,0,3,0,0,0
1,1,2,1,2,0,1,1,1,1,1,1,1,1,0,0,0,2,0,4,1,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,2,2
4,0,0,1,2,4,0,1,1,0,2,1,0,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,4
0,2,2,1,0,0,0,3,1,2,2,1,1,2,1,2,1,1,0,1,1,1,0,3,0,2,0,1,0,2,1,3,0,0,0,1,0,0,0,3,1
1,2,0,2,1,2,0,2,2,0,1,1,1,0,1,1,1,1,1,0,1,1,1,2,2,0,4,0,0,1,0,1,1,0,0,2,0,2,0,1,3
1,1,0,2,0,1,2,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,4,2,3,1,2,0,2,2,3,1,0,1,0,2,1,1,0,2
2,0,1,3,0,0,2,1,1,3,0,1,3,1,2,1,0,1,2,0,1,0,0,1,3,2,2,0,0,2,0,0,1,0,2,0,3,1,2,0,0
1,4,1,0,2,0,0,1,1,0,2,4,2,1,1,3,0,0,4,0,1,3,2,0,1,1,0,0,0,0,0,2,2,0,1,1,1,0,1,1,0
0,0,2,1,1,0,3,2,2,1,3,0,1,0,2,2,0,1,0,2,1,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,0,0,0,2,1,3,1,0,3,1,1,1,1,1,0,2,1,2,0,1,1,1,0,2,4,3,1,0,0,0,1,3,3,0,2,0,0
2,0,1,0,1,2,1,0,1,0,0,4,2,0,1,1,2,2,2,2,2,2,1,1,1,4,0,0,0,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,2,1,0,1,0,1,0,0,1,2,2,0,0,3,3,1,1,0,2,2,1,1,2,2,0,2,1,1,0,0,1,1,1,0,1,1
1,0,0,3,1,0,0,1,1,1,6,0,2,3,1,1,3,2,2,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,3,1,1,0,1,1
0,0,4,0,1,0,1,0,0,1,0,2,5,0,2,2,2,2,1,2,0,1,1,0,0,1,2,0,0,0,1,0,4,0,1,1,1,3,0,0,3
0,1,1,0,0,0,1,2,2,3,0,1,4,1,0,1,1,2,1,1,2,4,1,0,2,1,0,1,0,0,2,2,2,0,1,0,1,0,1,0,2
1,0,2,0,1,1,2,0,1,0,1,0,2,1,4,0,0,2,0,1,2,2,0,2,5,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,1,2,2,3,0,1,0,1,1,0,0,2,2,1,1,0,0,2,1,0,3,1,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,3,0,0,2,2,1,0,0,1,2,2,2,1,0,1,3,1,0,1,0,3,1,1,1,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,2,0,1,0,2,2,2,3,0,0,1,1,1,1,2,1,0,4,2,0,0,0,2,0,0,2,0,0,0,2,0,2,0,2,4,0
0,0,0,1,2,0,0,1,0,0,1,1,1,2,3,3,0,2,3,2,5,0,3,0,2,1,1,1,0,1,1,1,1,0,2,0,0,0,0,2,1
2,0,1,1,1,2,2,0,1,2,0,0,0,3,1,0,1,2,3,0,0,2,2,1,0,0,1,0,0,0,4,2,1,0,0,1,1,0,4,2,1
0,1,0,1,2,0,0,0,0,0,3,1,0,0,3,1,4,0,1,1,1,1,0,3,3,0,3,0,2,0,0,0,0,0,2,3,0,1,1,4,2
0,1,2,2,1,0,0,2,0,0,1,1,1,0,2,2,0,0,2,2,1,0,3,1,0,0,2,2,0,4,3,1,0,0,0,3,1,1,1,2,0
2,0,1,0,1,1,1,1,2,0,0,1,0,0,2,3,1,0,0,1,2,0,0,3,1,1,0,1,1,0,3,2,0,0,2,2,2,4,0,2,1
0,1,0,0,2,1,2,2,2,3,1,2,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,2,1,0,3,1,3,0,3,2,2,0,2,1,1,1,2,0,0,1,1,3,2,0,1
0,0,1,0,2,0,1,0,0,3,1,2,0,4,1,1,2,0,0,0,4,2,0,2,0,2,1,1,2,0,0,1,2,0,0,2,0,4,2,0,1
4,1,1,1,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,3,1,1,2,1,3,2,0,1,1,1,1,1,1,0,4,0,1,1,2,2,1
3,0,1,1,0,1,1,1,0,0,1,0,1,1,0,3,1,0,1,4,3,0,0,1,1,2,1,0,1,1,0,0,2,0,1,2,2,1,1,3,2
0,0,1,1,5,2,2,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,3,0,2,1,0,2,3,3,1,1,2,0,1,0,0,1,1,0,0
1,1,0,0,2,0,2,1,2,1,1,2,1,1,2,0,0,3,1,1,0,2,1,0,1,1,1,0,0,1,0,1,0,0,5,1,3,1,1,0,3
0,1,1,1,0,0,1,1,0,2,3,2,1,0,2,2,3,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,1
0,3,0,0,1,2,3,0,0,2,2,1,1,0,1,1,0,0,1,2,2,0,1,4,0,3,0,1,1,2,1,1,0,0,1,4,0,1,0,1,1
2,0,1,0,0,1,1,1,1,1,2,1,0,3,0,0,0,1,0,2,2,2,0,1,0,2,1,2,0,1,1,0,3,0,0,1,4,2,2,1,2
2,0,1,0,1,2,0,1,3,2,1,1,1,3,1,0,2,0,2,2,2,0,1,0,0,2,1,1,2,0,1,2,1,0,0,0,3,1,0,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,0,1,2,1,1,0,1,0,1,1,1,2,0,5,2,2,2,1,1,0,0,1,1,1,1,0,2
1,1,1,2,3,0,1,1,0,4,0,1,3,1,1,2,0,0,1,1,0,1,0,1,1,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,2,0,0,5,2,0,0,2,0,0,1,1,2,0,2,1,1,0,1,2,2,3,1,0,1,1,2,3,0,2,0,0,3,0,1,1,1,0
3,1,0,1,3,0,0,0,0,1,1,2,2,0,1,2,2,0,1,2,1,2,1,0,3,0,0,0,1,0,2,0,0,0,3,1,0,1,4,0,3
1,0,0,1,2,1,1,2,2,1,1,1,0,0,1,2,0,1,1,0,0,3,0,1,1,0,2,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,1,0,1,0,2,1,1,3,1,1,0,0,1,3,0,1,0,3,2,1,0,1,1,1,0,1,2,1,2,1,1,1
0,4,1,2,0,0,1,1,2,1,1,3,2,1,0,0,0,3,4,2,0,1,1,0,0,0,1,4,1,0,1,0,2,0,1,1,0,3,0,0,0
1,1,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,4,1,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,2,2
4,0,0,1,2,4,0,1,1,0,2,1,0,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,2,4
0,2,2,1,0,0,0,3,1,2,2,1,1,2,1,2,1,2,1,1,1,1,0,3,0,2,0,1,0,2,1,3,0,0,0,1,0,0,0,3,1
1,2,0,2,1,2,0,2,2,0,1,1,1,1,1,2,1,1,1,0,1,1,1,2,2,0,4,0,0,1,0,1,1,0,0,2,0,2,0,1,3
2,1,0,2,0,1,2,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,4,2,3,1,2,1,2,2,3,1,0,1,0,2,1,1,0,2
2,0,1,3,0,0,2,1,1,3,0,1,3,1,2,1,0,1,2,0,1,0,0,1,3,2,2,0,0,2,0,0,1,0,2,0,3,2,2,1,0
1,4,1,0,2,0,0,1,1,0,2,4,2,1,1,3,0,0,4,0,1,3,2,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,1,1,0
0,0,2,1,1,2,3,2,2,1,3,0,1,0,2,2,0,1,0,2,1,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,0,1,0,2,1,3,1,0,3,1,1,1,1,1,0,2,1,2,0,1,2,1,0,2,4,3,1,0,0,0,1,3,3,0,2,0,0
2,0,1,0,1,2,1,0,2,0,0,4,2,0,1,1,2,2,2,2,2,2,1,1,1,4,0,0,1,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,2,1,0,1,0,1,0,0,2,2,2,0,0,3,3,1,2,0,2,2,1,1,2,2,0,2,1,1,0,0,1,1,1,0,1,1
1,0,0,3,1,0,0,1,1,1,6,0,3,4,1,1,3,2,2,0,0,0,0,1,2,2,0,0,0,2,1,0,1,0,0,3,1,1,0,1,1
1,0,4,0,1,0,1,0,0,1,0,2,5,0,2,2,2,2,1,2,0,1,1,0,0,1,2,0,0,0,1,0,5,0,1,1,1,3,0,0,3
0,1,1,0,0,0,2,2,2,3,0,1,4,1,0,1,1,2,1,1,2,4,1,0,2,1,0,1,0,1,2,2,2,0,1,0,1,0,1,0,2
1,0,2,0,1,1,2,0,2,0,1,0,2,1,4,0,0,2,0,1,2,2,1,2,5,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,1,2,2,3,1,1,0,1,1,0,0,2,2,1,1,0,0,2,1,0,3,2,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,3,1,0,2,2,1,0,0,1,2,2,2,1,0,1,3,1,0,2,0,3,1,1,1,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,2,0,1,0,2,2,2,3,0,0,1,1,1,2,2,1,0,4,2,0,0,0,2,0,0,2,0,1,0,2,0,2,0,2,4,0
1,0,0,1,2,0,0,1,0,0,1,1,1,2,3,3,0,2,3,2,6,0,3,0,2,1,1,1,0,1,1,1,1,0,2,0,0,0,0,2,1
2,0,1,1,1,2,2,0,1,2,0,0,0,3,1,0,1,2,3,0,0,3,3,1,0,0,1,0,0,0,4,2,1,0,0,1,1,0,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,0,3,1,4,0,1,1,1,1,0,3,3,0,3,0,2,0,0,0,0,0,2,3,0,1,2,4,2
0,1,2,2,1,0,0,2,0,0,1,1,1,0,2,2,0,0,3,2,1,0,3,2,0,0,2,2,0,4,3,1,0,0,0,3,1,1,1,2,0
2,1,1,0,1,1,1,1,2,0,0,1,0,0,2,3,1,0,0,1,2,1,0,3,1,1,0,1,1,0,3,2,0,0,2,2,2,4,0,2,1
1,1,0,0,2,1,2,2,2,3,1,3,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,1,0,1,0,1,0,1,3,0,2,0
0,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,2,1,0,3,2,3,0,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,1
0,0,1,0,2,0,1,0,0,3,1,2,0,4,1,1,2,0,0,1,4,3,0,2,0,2,1,1,2,0,0,1,2,0,0,2,0,4,2,0,1
4,1,1,1,1,0,1,2,0,0,0,1,1,1,0,1,0,0,1,3,1,1,2,1,3,2,0,1,1,1,1,1,1,0,4,0,1,1,2,2,1
3,0,2,1,0,1,1,1,0,0,1,0,1,1,0,3,1,0,1,4,3,0,0,1,1,2,2,0,1,1,0,0,2,0,1,2,2,1,1,3,2
0,0,1,1,5,2,3,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,3,0,2,1,0,3,3,3,1,1,2,0,1,0,0,1,1,0,0
1,1,0,0,2,0,2,1,2,1,1,2,1,1,2,0,0,3,1,1,0,2,1,0,1,1,1,1,0,1,0,1,1,0,5,1,3,1,1,0,3
0,1,1,1,0,0,1,1,0,2,4,2,1,1,2,2,3,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,1
0,3,0,0,1,2,3,0,0,2,2,1,1,0,1,1,0,0,1,2,2,0,1,4,0,3,1,1,1,2,1,1,0,0,1,4,0,1,0,2,1
2,0,1,0,0,1,1,1,1,1,2,1,0,3,0,0,0,1,0,2,2,3,0,1,0,2,1,2,0,1,1,0,3,0,0,2,4,2,2,1,2
2,0,1,0,1,2,0,1,3,2,1,1,1,3,1,0,2,0,2,2,2,0,1,0,0,2,1,1,2,0,2,2,2,0,0,0,3,1,0,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,0,1,2,1,1,0,1,0,1,1,1,3,0,5,2,2,2,2,1,0,0,1,1,1,1,0,2
1,1,1,2,3,0,1,1,1,4,0,1,3,1,1,2,0,0,1,1,0,1,0,2,1,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,3,0,0,5,2,0,0,2,0,0,1,1,3,0,2,1,1,0,1,2,2,3,1,0,1,1,2,3,0,2,0,0,3,0,1,1,1,0
3,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,1,2,1,2,1,0,3,0,0,0,1,0,2,0,0,0,3,1,1,1,4,0,3
1,0,0,1,2,1,1,2,2,1,1,1,0,0,1,2,0,2,1,0,0,3,0,1,1,0,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,1,0,1,0,2,1,1,3,1,1,0,1,1,3,0,1,0,3,2,1,0,1,1,1,0,2,2,1,2,1,1,1
0,4,1,2,0,0,2,1,2,1,1,3,2,1,0,0,0,3,4,2,0,1,1,0,0,0,1,4,2,0,1,0,2,0,1,1,0,3,0,0,0
1,2,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,5,1,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,2,3,2,2
4,0,0,1,2,4,0,2,1,0,2,1,0,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,4
0,3,2,1,0,0,0,3,1,2,2,1,2,2,1,2,1,2,1,1,1,1,0,3,0,2,0,1,0,2,1,3,0,0,0,1,0,0,0,3,1
1,2,0,2,1,2,0,2,2,0,1,1,1,1,1,2,1,1,1,0,1,1,1,2,2,0,4,0,0,1,0,1,1,0,1,2,1,2,0,1,3
2,1,0,2,0,1,2,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,4,2,3,1,2,1,2,2,3,1,0,1,0,2,1,1,0,4
2,0,1,3,0,0,2,1,1,3,1,1,4,1,2,1,0,1,2,0,1,0,0,1,3,2,2,0,0,2,0,0,1,0,2,0,3,2,2,1,0
1,4,1,0,2,0,0,1,1,0,2,4,2,2,1,3,1,0,4,0,1,3,2,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,1,1,0
1,0,2,1,1,2,3,3,2,1,3,0,1,0,2,2,0,1,0,2,1,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,1,1,0,2,1,3,1,0,3,1,1,1,1,1,0,2,1,2,0,1,2,1,0,2,4,3,1,0,0,0,1,3,4,0,2,0,0
2,0,1,0,1,2,1,0,2,0,0,5,2,0,1,1,2,2,2,2,2,2,1,1,1,4,1,0,1,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,2,1,0,1,0,1,0,0,2,2,2,0,0,3,3,1,2,0,2,2,1,1,3,2,1,2,1,1,0,0,1,1,1,0,1,1
1,0,0,3,1,0,0,2,1,1,6,0,3,4,1,1,3,2,2,0,0,0,0,1,2,2,0,0,0,3,1,0,1,0,0,3,1,1,0,1,1
1,0,4,0,1,0,1,0,0,1,0,3,5,0,2,2,2,2,1,2,0,1,1,0,0,1,2,0,0,0,1,0,5,0,1,1,1,4,0,0,3
1,1,1,0,0,0,2,2,2,3,0,1,4,1,0,1,1,2,1,1,2,4,1,0,2,1,0,1,0,1,2,2,2,0,1,0,2,0,1,0,2
1,0,2,0,1,1,2,0,2,0,1,0,3,1,4,0,0,2,1,1,2,2,1,2,5,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,3,2,2,3,1,1,0,1,1,0,0,2,2,1,1,0,0,2,1,0,3,2,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,3,1,0,2,2,1,0,0,1,2,2,2,1,0,3,3,1,0,2,0,3,1,1,1,1,0,0,0,0,0,1,1,3,0,1,1
1,0,2,1,1,2,0,1,0,2,3,2,3,0,0,1,1,1,2,2,1,0,5,2,0,0,0,2,0,0,2,0,1,0,2,0,2,0,2,4,0
1,0,0,1,2,0,0,1,0,0,1,1,2,2,3,3,0,3,3,2,6,0,3,0,2,1,1,1,0,1,1,1,1,0,2,0,0,0,0,2,1
2,0,1,1,1,2,2,0,1,2,0,0,1,3,1,0,1,2,3,0,0,3,3,1,0,0,1,0,0,0,5,2,1,0,0,1,1,0,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,0,3,1,4,0,1,1,1,1,0,3,3,0,3,0,2,0,0,0,1,0,2,3,0,1,2,5,2
0,1,2,2,1,0,0,2,0,0,1,1,1,0,2,2,0,0,3,2,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,1,1,2,0
2,1,1,0,1,1,1,1,2,0,0,1,0,0,2,3,1,0,0,1,2,1,0,3,1,1,0,1,1,0,4,2,0,0,2,3,2,4,0,2,1
2,1,0,0,2,1,2,2,2,3,1,3,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,1,1,1,0,1,0,1,3,0,2,0
1,2,1,2,0,0,0,0,0,1,0,2,0,3,0,1,0,2,1,1,3,2,3,0,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,1
0,0,1,0,2,0,1,0,0,3,1,2,0,4,1,1,2,0,1,1,4,3,0,2,0,2,1,1,2,0,0,1,2,0,0,2,0,4,2,1,1
4,1,1,1,1,1,1,2,0,0,0,1,2,1,0,1,0,0,1,3,1,1,2,1,3,2,0,1,1,1,1,1,1,0,4,0,1,1,2,2,1
3,0,2,1,0,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,3,0,0,1,1,2,2,0,1,1,0,0,2,0,1,3,2,1,1,3,2
1,0,1,1,5,2,3,0,0,0,0,1,2,1,0,3,1,1,0,1,1,1,4,0,2,1,0,3,3,3,1,1,2,0,1,0,0,1,1,0,0
1,2,0,0,2,0,2,1,2,1,1,2,1,1,2,0,0,3,1,1,0,2,1,0,1,1,1,1,0,1,0,1,1,0,6,1,3,1,1,0,3
0,1,2,1,0,0,1,1,0,2,4,2,1,1,2,2,4,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,1
0,3,0,0,1,2,4,0,0,2,2,1,1,0,1,1,0,0,1,2,2,0,1,4,0,3,1,2,1,2,1,1,0,0,1,4,0,1,0,2,1
2,0,1,0,0,1,2,1,1,1,2,1,0,3,0,0,0,1,0,3,2,3,0,1,0,2,1,2,0,1,1,0,3,0,0,2,4,2,2,1,2
2,0,1,0,1,2,0,1,3,2,2,1,1,3,1,0,2,0,2,2,2,0,1,0,0,2,1,1,2,0,2,2,2,0,0,0,3,1,1,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,0,1,2,2,1,0,1,0,1,1,1,3,0,5,2,2,2,3,1,0,0,1,1,1,1,0,2
1,1,1,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,1,0,1,0,2,2,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,3,0,1,5,2,0,0,2,0,0,1,1,3,0,2,1,1,0,1,3,2,3,1,0,1,1,2,3,0,2,0,0,3,0,1,1,1,0
3,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,1,2,1,2,2,0,3,0,0,0,1,0,2,0,0,0,3,1,2,1,4,0,3
1,0,0,1,2,1,1,2,3,1,1,1,0,1,1,2,0,2,1,0,0,3,0,1,1,0,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,1,0,1,0,2,1,1,3,1,1,0,1,1,3,0,1,0,3,2,1,1,1,1,1,0,2,2,1,3,1,1,1
0,4,1,2,0,0,2,1,2,1,1,3,2,1,0,0,0,3,4,3,0,1,1,0,0,0,1,4,2,0,1,0,3,0,1,1,0,3,0,0,0
1,2,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,6,1,0,0,2,0,1,1,1,0,0,2,2,0,0,0,1,1,3,3,2,2
5,0,0,1,2,5,0,2,1,0,2,1,0,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,4
0,3,2,1,0,0,0,3,1,2,2,1,2,2,1,2,1,2,1,1,1,1,0,3,0,2,0,1,0,2,1,4,0,0,0,1,0,0,1,3,1
1,3,0,2,1,2,0,2,2,0,1,1,1,1,1,2,1,1,1,0,1,1,1,2,2,0,4,0,0,1,0,2,1,0,1,2,1,2,0,1,3
2,1,0,2,0,1,2,2,0,2,1,0,0,0,1,0,0,0,1,2,1,0,0,4,2,3,2,2,1,2,2,3,1,0,1,0,3,1,1,0,4
2,0,1,3,0,0,2,1,1,3,1,1,4,1,2,1,0,2,2,0,1,0,0,1,3,2,2,0,0,2,1,0,1,0,2,0,3,2,2,1,0
1,4,1,0,2,0,0,1,1,0,2,4,2,2,2,3,1,0,4,0,1,3,2,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,1,1,1
1,1,2,1,1,2,3,3,2,1,3,1,1,0,2,2,0,1,0,2,1,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,1,1,0,2,1,3,1,0,3,1,1,1,1,1,0,2,1,2,0,1,2,1,0,2,4,3,1,0,0,0,1,4,4,0,2,1,0
2,0,1,1,1,2,2,0,2,0,0,5,2,0,1,1,2,2,2,2,2,2,1,1,1,4,1,0,1,0,1,0,1,0,2,1,1,2,0,1,0
2,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,0,0,3,3,1,2,0,2,2,1,1,3,2,1,3,1,1,0,0,1,1,1,0,1,1
1,0,0,3,1,0,0,2,1,1,6,0,3,4,1,1,3,3,2,0,0,0,0,1,2,2,0,1,0,3,1,0,1,0,0,3,1,1,0,1,1
1,0,4,0,1,0,1,0,0,1,0,3,5,0,2,2,2,2,2,2,0,2,1,0,0,1,2,0,0,0,1,0,5,0,1,1,1,4,0,0,3
1,1,1,0,0,0,2,2,2,3,0,1,4,1,0,1,1,2,1,1,2,4,1,0,2,1,0,1,1,1,2,2,2,0,1,0,3,0,1,0,2
1,1,2,0,1,1,2,0,2,0,1,0,3,1,4,0,0,2,1,1,2,3,1,2,5,1,1,0,0,3,0,1,1,0,2,1,0,0,0,3,1
2,0,4,2,2,3,1,1,0,1,1,0,0,2,2,1,1,0,1,2,1,0,3,2,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,1,0,3,3,1,0,2,0,3,1,1,1,1,0,0,0,0,0,1,1,3,0,1,2
1,0,2,1,1,2,0,1,0,2,3,2,3,0,0,1,1,1,2,2,1,0,5,2,0,0,0,2,1,0,2,0,2,0,2,0,2,0,2,4,0
1,0,0,1,2,1,0,1,0,0,1,1,2,2,3,3,0,3,3,2,6,0,3,0,2,1,1,1,0,1,1,1,1,0,3,0,0,0,0,2,1
3,0,1,1,1,2,2,0,1,2,0,0,1,3,1,0,1,2,3,0,0,3,3,1,0,1,1,0,0,0,5,2,1,0,0,1,1,0,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,0,3,2,4,0,1,2,1,1,0,3,3,0,3,0,2,0,0,0,1,0,2,3,0,1,2,5,2
0,1,2,2,1,0,0,2,0,0,1,1,1,0,2,2,0,0,3,4,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,1,1,2,0
2,1,1,0,1,2,1,1,2,0,0,1,1,0,2,3,1,0,0,1,2,1,0,3,1,1,0,1,1,0,4,2,0,0,2,3,2,4,0,2,1
2,1,0,0,2,1,2,2,2,3,1,4,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,1,1,1,0,1,0,1,3,1,2,0
1,2,1,2,0,0,0,0,0,1,0,2,0,4,0,1,0,2,1,1,3,2,3,0,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,2
0,0,1,0,2,0,1,0,0,3,1,2,0,4,1,1,2,0,1,2,4,3,0,2,0,2,1,1,2,0,1,1,2,0,0,2,0,4,2,1,1
4,1,2,1,1,1,1,2,0,0,0,1,2,1,0,1,0,0,1,3,1,1,2,1,3,2,0,1,1,1,1,1,2,0,4,0,1,1,2,2,1
3,0,2,1,0,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,4,0,0,1,1,2,2,0,1,1,0,0,2,0,1,3,2,1,1,3,3
1,0,1,1,5,2,3,0,0,0,0,1,2,1,0,3,1,1,0,1,1,2,4,0,2,1,0,3,3,3,1,1,2,0,2,0,0,1,1,0,0
1,2,0,0,2,0,3,1,3,1,1,2,1,1,2,0,0,3,1,1,0,2,1,0,1,1,1,1,0,1,0,1,1,0,6,1,3,1,1,0,3
0,1,2,1,0,0,1,2,0,2,4,2,1,1,2,2,4,1,0,3,2,0,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,2
0,3,0,0,1,2,4,0,0,2,2,1,1,0,1,1,0,0,1,2,2,1,1,4,0,3,1,2,1,2,2,1,0,0,1,4,0,1,0,2,1
2,0,1,0,0,1,2,1,1,1,2,2,0,3,0,0,0,1,0,3,2,3,0,1,0,2,1,2,1,1,1,0,3,0,0,2,4,2,2,1,2
2,0,1,0,1,2,0,1,3,2,3,1,1,3,1,0,2,0,2,2,2,0,1,0,0,2,1,1,2,0,2,2,2,0,0,0,3,2,1,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,1,1,2,2,1,0,1,1,1,1,1,3,0,5,2,2,2,3,1,0,0,1,1,1,1,0,2
1,1,2,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,1,0,1,0,2,3,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
0,1,0,3,0,1,5,2,0,0,2,0,0,1,1,3,0,2,2,1,0,1,3,2,3,2,0,1,1,2,3,0,2,0,0,3,0,1,1,1,0
3,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,1,2,1,2,2,0,3,0,0,0,1,0,2,0,1,0,4,1,2,1,4,0,3
1,0,0,1,2,1,1,2,3,1,1,1,0,1,1,3,0,2,1,1,0,3,0,1,1,0,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,0,1,3,1,5,0,0,0,1,0,1,0,3,1,2,3,1,1,0,1,1,3,0,1,0,3,2,1,1,1,1,1,0,2,2,1,3,1,1,1
0,4,1,2,0,0,2,1,2,1,1,3,2,1,0,0,0,3,4,3,0,1,1,0,0,0,1,4,2,0,1,0,3,0,1,1,0,3,2,0,0
1,2,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,6,1,0,0,3,0,1,1,1,0,0,2,2,0,0,0,1,1,3,3,2,3
5,0,0,1,2,6,0,2,1,0,2,1,1,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,2,4
0,3,2,1,0,0,0,4,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,0,2,0,1,0,2,1,4,0,0,0,1,0,0,1,3,1
1,3,0,2,1,2,0,2,2,0,1,1,1,2,1,2,1,1,1,0,1,1,2,2,2,0,4,0,0,1,0,2,1,0,1,2,1,2,0,1,3
2,1,0,2,0,1,2,2,0,2,1,0,0,0,1,1,0,0,1,2,1,0,0,4,2,3,2,2,1,2,2,3,1,0,1,0,3,1,2,0,4
2,0,1,3,0,0,2,1,1,3,1,1,4,1,2,1,0,2,2,0,1,0,1,1,3,2,2,0,0,2,1,0,1,0,2,1,3,2,2,1,0
1,4,1,1,2,0,0,1,1,0,2,4,2,2,2,3,1,0,4,0,2,3,2,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,1,1,1
1,1,2,1,1,2,3,3,2,1,4,1,1,0,2,2,0,1,0,2,2,2,1,0,0,1,2,4,2,1,1,0,3,0,0,0,1,1,1,0,0
0,2,0,0,1,1,0,2,1,3,1,0,3,1,1,1,1,1,0,3,1,2,0,1,2,1,0,2,4,3,1,0,0,0,1,4,4,0,2,2,0
2,0,1,1,1,2,2,0,2,0,0,5,2,0,1,1,2,3,2,2,2,2,1,1,1,4,1,0,1,0,1,0,1,0,2,1,1,2,0,2,0
2,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,0,0,3,3,1,2,0,2,2,2,1,3,2,1,3,1,1,0,0,1,1,1,0,2,1
1,0,0,3,1,0,0,2,1,1,6,0,3,4,1,2,3,3,2,0,0,0,1,1,2,2,0,1,0,3,1,0,1,0,0,3,1,1,0,1,1
1,0,4,0,1,0,1,0,0,1,1,3,5,0,2,2,2,2,2,2,0,2,1,0,0,1,2,0,0,0,1,0,5,0,1,1,1,4,1,0,3
1,1,1,0,0,0,2,2,2,3,0,1,5,1,0,1,1,2,1,1,2,4,1,0,2,2,0,1,1,1,2,2,2,0,1,0,3,0,1,0,2
1,1,2,0,1,1,2,0,2,0,1,0,3,1,4,0,0,2,1,1,2,3,1,2,5,1,1,0,1,3,0,1,1,0,2,1,0,1,0,3,1
2,0,4,2,2,3,1,1,0,1,2,0,0,2,2,1,1,0,1,2,2,0,3,2,0,1,1,0,1,2,3,1,0,0,1,1,2,1,2,2,0
2,2,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,1,0,3,3,1,0,2,0,3,1,1,1,1,0,1,0,0,1,1,1,3,0,1,2
1,0,2,1,1,2,0,1,0,2,3,2,3,0,0,1,1,1,2,2,1,0,5,2,0,1,0,2,1,0,2,0,2,0,2,0,2,0,2,4,1
1,0,0,2,2,1,0,1,0,0,1,1,2,2,3,3,0,3,3,2,6,0,3,0,2,1,1,2,0,1,1,1,1,0,3,0,0,0,0,2,1
3,0,1,1,1,2,2,0,1,2,0,0,1,3,1,0,2,2,3,0,0,3,3,1,0,1,1,0,0,0,5,2,2,0,0,1,1,0,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,0,3,2,4,0,1,2,2,1,0,3,3,0,3,0,2,0,0,0,1,0,2,4,0,1,2,5,2
1,1,2,2,2,0,0,2,0,0,1,1,1,0,2,2,0,0,3,4,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,1,1,2,0
2,1,1,0,1,2,1,1,2,0,0,1,1,0,2,3,1,0,0,1,2,1,0,3,1,1,0,1,2,1,4,2,0,0,2,3,2,4,0,2,1
2,1,0,0,2,1,2,2,2,4,1,4,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,1,1,1,0,2,0,1,3,1,2,0
1,2,2,2,0,0,0,0,0,1,0,2,0,4,0,1,0,2,1,1,3,2,3,1,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,2
0,0,1,0,2,0,1,0,1,3,1,2,0,4,1,1,2,0,1,2,4,3,0,2,0,2,1,1,3,0,1,1,2,0,0,2,0,4,2,1,1
4,1,2,1,1,1,1,2,0,0,0,1,2,1,0,1,0,0,1,3,1,1,2,1,3,2,0,2,2,1,1,1,2,0,4,0,1,1,2,2,1
3,0,2,1,0,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,4,0,1,1,1,2,2,0,1,1,0,0,2,0,2,3,2,1,1,3,3
1,0,1,1,6,2,3,0,0,0,0,1,2,1,0,3,1,1,0,1,1,2,4,0,2,1,0,4,3,3,1,1,2,0,2,0,0,1,1,0,0
1,2,0,0,2,0,3,1,3,1,1,2,1,1,2,0,0,3,1,1,0,2,2,0,1,1,1,1,0,1,1,1,1,0,6,1,3,1,1,0,3
0,1,2,1,0,0,1,2,0,2,4,2,1,1,2,2,4,1,1,3,2,1,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,2
0,3,0,0,1,2,4,0,0,2,2,1,1,0,1,2,0,0,1,2,2,1,1,4,0,3,1,2,1,2,2,1,0,0,1,4,0,1,0,3,1
2,0,1,0,0,1,3,1,1,1,2,2,0,3,0,0,0,1,0,3,2,3,1,1,0,2,1,2,1,1,1,0,3,0,0,2,4,2,2,1,2
2,0,1,0,1,2,0,1,3,2,3,1,1,4,1,0,2,0,2,2,2,0,1,0,0,2,2,1,2,0,2,2,2,0,0,0,3,2,1,1,1
0,1,2,1,1,0,2,0,2,3,0,2,0,0,1,1,2,2,1,0,1,1,1,1,1,3,0,5,2,2,2,3,1,0,0,2,1,1,1,0,3
1,1,2,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,2,0,2,0,2,3,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
1,1,0,3,0,1,5,2,1,0,2,0,0,1,1,3,0,2,2,1,0,1,3,2,3,2,0,1,1,2,3,0,2,0,0,3,0,1,1,1,0
4,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,1,2,1,2,2,0,3,0,0,0,1,0,2,0,1,0,5,1,2,1,4,0,3
1,0,0,1,2,1,1,2,3,1,1,1,0,1,1,3,0,2,3,1,0,3,0,1,1,0,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,1,1,3,1,5,0,0,0,1,0,1,0,3,1,2,3,1,1,0,1,1,3,0,1,0,3,2,2,1,1,1,1,0,2,2,1,3,1,1,1
0,4,1,2,0,0,2,1,2,1,1,3,2,1,0,0,1,3,4,3,0,1,1,0,0,1,1,4,2,0,1,0,3,0,1,1,0,3,2,0,0
2,2,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,6,1,1,0,3,0,1,1,1,0,0,2,2,0,0,0,1,1,3,3,2,3
5,0,0,1,2,6,0,2,1,0,2,2,1,0,1,3,2,0,1,3,3,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,2,4
0,3,2,1,0,0,0,5,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,1,2,0,1,0,2,1,4,0,0,0,1,0,0,1,3,1
1,3,0,2,1,2,0,2,3,0,1,1,1,2,1,2,1,1,1,0,1,1,2,2,2,0,4,0,0,1,1,2,1,0,1,2,1,2,0,1,3
2,1,1,2,0,1,2,2,0,2,1,0,0,0,1,1,0,0,1,2,1,0,0,4,2,3,2,2,2,2,2,3,1,0,1,0,3,1,2,0,4
2,0,1,4,0,0,2,1,1,3,1,1,4,1,3,1,0,2,2,0,1,0,1,1,3,2,2,0,0,2,1,0,1,0,2,1,3,2,2,1,0
1,5,1,1,2,1,0,1,1,0,2,4,2,2,2,3,1,0,4,0,2,3,2,0,1,1,0,1,0,1,0,2,2,0,1,1,1,0,1,1,1
1,1,2,1,1,2,3,3,2,1,4,1,1,0,2,2,0,1,0,2,2,2,1,0,0,1,2,4,2,1,1,1,3,0,0,0,1,1,1,0,1
0,3,0,0,1,1,0,2,1,3,1,0,3,1,1,1,1,1,0,3,1,3,0,1,2,1,0,2,4,3,1,0,0,0,1,4,4,0,2,2,0
2,0,1,1,1,2,2,0,2,0,0,5,2,0,1,1,2,3,2,2,2,2,1,1,1,5,1,0,1,0,1,0,2,0,2,1,1,2,0,2,0
2,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,0,0,3,3,1,2,0,2,2,2,2,3,3,1,3,1,1,0,0,1,1,1,0,2,1
1,0,0,3,1,0,0,2,2,1,6,0,3,5,1,2,3,3,2,0,0,0,1,1,2,2,0,1,0,3,1,0,1,0,0,3,1,1,0,1,1
1,0,4,0,1,0,1,0,0,1,1,3,5,0,2,2,2,3,2,2,0,2,1,0,0,1,2,0,0,0,2,0,5,0,1,1,1,4,1,0,3
1,1,1,0,0,0,2,2,2,3,0,1,5,1,0,1,1,2,1,1,2,4,2,1,2,2,0,1,1,1,2,2,2,0,1,0,3,0,1,0,2
1,1,2,0,1,1,2,0,2,0,1,0,3,1,4,0,0,2,1,1,2,4,1,2,5,1,1,0,1,3,0,1,1,0,2,1,0,1,0,4,1
2,0,4,2,2,3,1,1,0,1,2,0,0,2,2,1,1,0,1,2,2,0,3,2,0,2,1,0,1,2,3,1,0,0,1,1,2,1,3,2,0
2,2,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,1,0,3,3,1,0,2,0,3,1,1,2,1,0,1,0,0,1,1,1,3,0,1,3
1,0,2,1,1,2,0,1,0,2,3,2,4,0,0,1,1,2,2,2,1,0,5,2,0,1,0,2,1,0,2,0,2,0,2,0,2,0,2,4,1
1,0,0,2,2,1,0,1,0,0,1,1,2,2,3,3,0,3,3,2,6,0,3,0,2,1,2,2,0,1,1,1,1,0,3,0,1,0,0,2,1
3,0,2,1,1,2,2,0,1,3,0,0,1,3,1,0,2,2,3,0,0,3,3,1,0,1,1,0,0,0,5,2,2,0,0,1,1,0,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,1,3,2,4,0,1,3,2,1,0,3,3,0,3,0,2,0,0,0,1,0,2,4,0,1,2,5,2
1,1,2,2,2,0,0,2,0,1,1,1,1,0,2,2,0,0,3,4,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,2,1,2,0
2,1,1,0,1,2,1,1,2,0,0,1,1,0,2,3,1,0,0,1,2,1,0,3,1,1,0,1,2,1,4,2,0,0,3,3,2,4,1,2,1
2,1,0,0,2,1,2,2,2,4,1,4,0,2,0,1,1,1,1,3,2,1,0,2,0,0,2,2,1,0,2,1,1,0,2,0,1,3,2,2,0
1,2,2,2,0,0,0,0,1,1,0,2,0,4,0,1,0,2,1,1,3,3,3,1,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,2
0,0,1,0,2,0,1,0,1,3,1,2,0,4,1,2,2,0,1,2,4,3,0,2,0,2,1,1,3,0,1,1,2,0,1,2,0,4,2,1,1
4,1,2,1,1,1,1,2,0,0,0,1,2,1,0,1,0,0,1,3,1,1,2,2,3,2,0,2,2,1,2,1,2,0,4,0,1,1,2,2,1
3,0,2,1,0,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,4,0,1,1,2,2,2,0,2,1,0,0,2,0,2,3,2,1,1,3,3
1,0,1,1,6,3,3,0,0,0,0,1,2,1,0,3,1,1,0,1,1,2,4,0,2,1,0,4,3,3,1,1,2,0,2,0,0,1,1,1,0
1,2,0,0,2,0,3,1,3,1,1,2,2,1,2,0,0,3,1,1,0,2,2,0,1,1,1,1,0,1,1,1,1,0,6,1,3,2,1,0,3
1,1,2,1,0,0,1,2,0,2,5,2,1,1,2,2,4,1,1,3,2,1,0,1,0,1,1,2,0,0,1,1,2,0,0,4,3,0,1,0,2
0,3,0,1,1,2,4,0,0,2,2,1,1,0,1,2,0,0,1,2,2,1,1,5,0,3,1,2,1,2,2,1,0,0,1,4,0,1,0,3,1
2,0,1,0,0,1,4,1,1,1,2,2,0,3,0,0,0,1,0,3,2,3,1,1,0,2,1,2,1,1,1,0,3,0,0,2,4,3,2,1,2
2,0,1,0,1,2,0,1,3,2,3,1,1,4,1,1,2,0,2,2,2,0,1,0,0,2,2,1,2,0,2,2,2,0,0,1,3,2,1,1,1
0,1,2,1,1,0,2,0,2,4,0,2,0,0,1,1,3,2,1,0,1,1,1,1,1,3,0,5,2,2,2,3,1,0,0,2,1,1,1,0,3
1,2,2,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,2,0,3,0,2,3,1,1,2,2,1,3,1,1,0,2,0,0,2,0,0,1
1,1,0,3,0,1,5,2,1,0,2,0,0,1,1,3,0,2,2,1,1,1,3,2,3,2,0,1,1,3,3,0,2,0,0,3,0,1,1,1,0
4,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,2,2,1,2,2,0,3,0,0,0,1,0,2,0,2,0,5,1,2,1,4,0,3
1,0,0,1,2,1,1,2,3,1,1,1,0,1,1,3,0,2,3,1,0,4,0,1,1,1,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,1,1,3,1,5,0,0,0,1,0,1,0,3,1,2,3,1,1,0,1,1,3,0,1,0,3,2,2,1,1,2,1,0,2,2,1,3,1,2,1
0,4,1,2,0,0,2,1,2,2,1,3,2,2,0,0,1,3,4,3,0,1,1,0,0,1,1,4,2,0,1,0,3,0,1,1,0,3,2,0,0
2,2,2,1,3,0,1,1,1,1,1,1,2,1,0,0,0,2,0,6,1,1,0,3,0,1,1,1,0,1,2,2,0,0,0,1,1,3,3,3,3
5,0,0,1,2,6,0,2,1,0,2,2,1,0,1,3,2,0,1,3,3,3,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,2,4
0,3,2,1,1,0,0,5,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,1,3,0,1,0,2,1,4,0,0,0,1,0,0,1,3,1
1,3,0,2,1,2,0,2,3,0,1,1,1,3,1,2,1,1,1,0,1,1,2,2,2,0,4,0,0,1,1,3,1,0,1,2,1,2,0,1,3
2,1,1,3,0,1,2,2,0,2,1,0,0,0,1,1,0,0,1,2,1,0,0,4,2,3,3,2,2,2,2,3,1,0,1,0,3,1,2,0,4
2,0,1,4,0,0,2,1,1,3,1,1,4,1,3,1,0,2,2,0,1,0,1,1,3,2,2,0,0,2,1,0,1,0,2,3,3,2,2,1,0
1,5,1,1,2,1,0,1,1,0,2,4,2,2,2,3,1,0,4,0,2,3,2,0,1,1,0,1,0,1,0,3,2,0,1,1,1,0,2,1,1
1,1,2,1,1,2,4,3,2,1,4,1,1,0,2,3,0,1,0,2,2,2,1,0,0,1,2,4,2,1,1,1,3,0,0,0,1,1,1,0,1
0,3,0,0,1,1,0,2,1,3,1,0,3,1,1,1,1,2,0,3,1,3,0,1,2,2,0,2,4,3,1,0,0,0,1,4,4,0,2,2,0
2,0,2,1,1,2,2,0,2,0,0,5,2,0,2,1,2,3,2,2,2,2,1,1,1,5,1,0,1,0,1,0,2,0,2,1,1,2,0,2,0
3,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,0,0,3,4,1,2,0,2,2,2,2,3,3,1,3,1,1,0,0,1,1,1,0,2,1
1,0,0,3,1,0,0,2,2,1,6,0,3,5,1,2,4,3,2,0,0,0,1,1,2,2,0,1,0,3,1,0,1,0,1,3,1,1,0,1,1
1,1,4,0,1,0,1,0,0,1,1,3,5,0,2,2,2,3,2,2,0,2,1,0,0,1,3,0,0,0,2,0,5,0,1,1,1,4,1,0,3
1,1,1,0,1,0,2,3,2,3,0,1,5,1,0,1,1,2,1,1,2,4,2,1,2,2,0,1,1,1,2,2,2,0,1,0,3,0,1,0,2
1,2,2,0,1,1,2,0,2,0,1,0,3,1,4,0,0,2,1,1,3,4,1,2,5,1,1,0,1,3,0,1,1,0,2,1,0,1,0,4,1
3,0,4,2,2,3,1,1,0,1,2,0,0,2,2,1,1,0,1,2,2,0,3,2,0,2,1,0,1,2,3,1,0,0,1,1,3,1,3,2,0
2,3,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,2,0,3,3,1,0,2,0,3,1,1,2,1,0,1,0,0,1,1,1,3,0,1,3
2,0,2,1,1,2,0,1,0,2,3,2,4,0,0,1,1,2,2,3,1,0,5,2,0,1,0,2,1,0,2,0,2,0,2,0,2,0,2,4,1
1,0,0,2,2,1,0,1,0,0,1,1,2,2,3,3,0,4,4,2,6,0,3,0,2,1,2,2,0,1,1,1,1,0,3,0,1,0,0,2,1
3,0,2,1,1,2,2,0,1,3,0,0,1,3,1,0,2,2,3,0,0,3,3,1,0,2,1,0,0,0,5,2,2,0,0,1,1,1,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,1,3,2,5,0,1,3,2,1,0,3,3,0,4,0,2,0,0,0,1,0,2,4,0,1,2,5,2
1,1,2,2,2,0,0,2,0,1,1,1,1,0,3,3,0,0,3,4,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,2,1,2,0
2,1,1,0,1,2,1,1,2,0,0,1,1,0,2,3,1,0,0,1,2,1,0,4,1,1,0,1,2,1,4,2,0,0,3,3,2,4,1,3,1
2,1,0,0,2,1,2,2,2,4,1,4,0,2,0,1,1,1,2,3,2,1,0,3,0,0,2,2,1,0,2,1,1,0,2,0,1,3,2,2,0
1,2,2,2,0,0,0,0,2,1,0,2,0,4,0,1,0,2,2,1,3,3,3,1,3,2,2,0,2,1,1,1,2,0,0,1,2,3,2,0,2
0,0,1,0,2,0,1,1,1,3,1,2,0,4,1,2,2,0,1,2,5,3,0,2,0,2,1,1,3,0,1,1,2,0,1,2,0,4,2,1,1
4,1,2,1,1,1,1,2,0,0,0,2,2,1,0,1,0,0,1,3,1,1,2,2,3,2,0,2,2,1,3,1,2,0,4,0,1,1,2,2,1
3,0,3,1,0,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,4,0,1,1,2,2,2,0,2,1,1,0,2,0,2,3,2,1,1,3,3
1,0,1,1,6,3,3,1,0,0,0,1,2,1,0,3,1,1,0,1,2,2,4,0,2,1,0,4,3,3,1,1,2,0,2,0,0,1,1,1,0
1,2,0,0,2,0,3,1,3,1,2,2,2,1,2,0,0,3,1,1,1,2,2,0,1,1,1,1,0,1,1,1,1,0,6,1,3,2,1,0,3
1,1,3,1,0,0,1,2,0,2,5,2,1,1,2,2,4,1,1,3,2,1,0,1,0,2,1,2,0,0,1,1,2,0,0,4,3,0,1,0,2
0,3,0,1,1,2,4,0,0,2,3,1,1,0,1,2,0,0,1,2,2,1,1,5,0,3,1,2,1,2,2,1,1,0,1,4,0,1,0,3,1
2,0,1,0,0,1,4,1,1,1,2,2,0,3,0,0,0,1,0,4,2,4,1,1,0,2,1,2,1,1,1,0,3,0,0,2,4,3,2,1,2
2,0,1,0,1,2,0,1,3,2,3,1,1,4,1,1,2,0,2,2,2,0,1,1,0,2,2,2,2,0,2,2,2,0,0,1,3,2,1,1,1
0,1,2,1,1,0,2,0,2,4,0,2,0,0,2,1,3,2,1,0,1,1,2,1,1,3,0,5,2,2,2,3,1,0,0,2,1,1,1,0,3
2,2,2,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,2,0,3,0,2,3,1,1,3,2,1,3,1,1,0,2,0,0,2,0,0,1
1,1,0,3,0,1,5,2,1,0,2,0,0,1,1,3,0,3,2,1,1,1,3,2,3,2,0,1,1,3,3,0,2,0,0,3,0,2,1,1,0
4,1,0,1,3,0,0,0,0,1,1,3,2,0,1,2,2,0,2,2,1,2,2,0,3,0,0,0,1,0,3,1,2,0,5,1,2,1,4,0,3
2,0,0,1,2,1,1,2,3,1,1,1,0,1,1,3,0,2,3,1,0,4,0,1,1,2,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,1,1,3,1,5,0,0,0,1,0,1,0,3,1,2,3,1,2,0,1,1,3,0,1,0,3,3,2,1,1,2,1,0,2,2,1,3,1,2,1
0,4,1,2,0,0,2,1,2,2,1,3,2,3,0,0,1,3,4,3,0,1,1,1,0,1,1,4,2,0,1,0,3,0,1,1,0,3,2,0,0
2,2,2,1,3,0,1,1,1,1,1,1,3,2,0,0,0,2,0,6,1,1,0,3,0,1,1,1,0,1,2,2,0,0,0,1,1,3,3,3,3
5,0,0,1,2,6,0,2,1,1,2,2,1,0,1,3,2,0,1,3,3,3,1,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,2,5
1,3,2,1,1,0,0,5,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,1,3,0,1,0,2,1,5,0,0,0,1,0,0,1,3,1
1,3,0,3,1,2,0,2,3,0,1,1,1,3,1,2,1,1,1,0,1,1,2,2,2,0,4,0,0,1,1,3,1,0,1,2,1,2,0,1,4
3,1,1,3,0,1,2,2,0,2,1,0,0,0,1,1,0,0,1,2,1,0,0,4,2,3,3,3,2,2,2,3,1,0,1,0,3,1,2,0,4
2,0,1,4,0,1,2,1,1,3,1,1,4,1,3,1,0,2,2,0,1,0,1,1,3,2,2,0,0,2,1,0,1,0,2,3,3,3,2,1,0
1,5,1,1,2,1,0,1,1,0,2,4,2,2,2,3,1,0,4,0,2,3,2,0,1,1,0,1,0,2,0,3,2,0,1,1,1,0,2,2,1
1,1,3,1,1,2,4,3,2,1,4,2,1,0,2,3,0,1,0,2,2,2,1,0,0,1,2,4,2,1,1,1,3,0,0,0,1,1,1,0,1
0,3,0,0,1,1,0,2,1,3,1,0,3,1,2,1,1,2,0,4,1,3,0,1,2,2,0,2,4,3,1,0,0,0,1,4,4,0,2,2,0
2,0,2,1,1,2,2,0,2,0,0,5,2,0,2,1,2,3,2,2,2,2,2,1,1,5,1,0,1,0,1,1,2,0,2,1,1,2,0,2,0
3,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,0,0,3,4,1,2,0,2,2,2,2,3,3,1,3,3,1,0,0,1,1,1,0,2,1
1,0,1,3,1,0,0,2,2,1,6,0,3,5,1,2,4,3,2,0,1,0,1,1,2,2,0,1,0,3,1,0,1,0,1,3,1,1,0,1,1
1,1,4,0,1,0,1,0,0,1,1,3,5,0,2,2,2,3,2,2,0,2,1,0,0,1,3,0,0,0,2,1,5,0,1,1,1,4,1,1,3
1,1,1,0,1,0,2,4,2,3,0,1,5,1,0,1,1,2,1,1,2,4,2,1,2,2,0,1,1,1,2,2,2,0,2,0,3,0,1,0,2
1,2,2,0,1,1,2,0,2,0,1,0,3,1,4,1,0,2,1,1,3,4,1,2,5,1,1,0,1,3,0,1,1,0,2,1,0,1,0,4,2
3,0,4,2,2,3,1,1,0,1,2,0,0,2,2,1,1,0,1,2,2,0,3,2,0,2,1,0,1,2,3,1,0,0,1,1,5,1,3,2,0
2,3,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,2,0,3,3,2,0,2,0,3,1,1,2,1,0,1,0,0,1,1,2,3,0,1,3
2,0,2,1,1,2,1,1,0,2,3,2,4,0,0,1,1,2,2,3,1,0,5,2,0,1,0,2,1,0,2,0,2,0,2,0,2,1,2,4,1
1,0,0,2,2,1,0,1,0,0,1,1,2,2,3,3,0,5,4,2,6,0,3,0,2,1,2,2,1,1,1,1,1,0,3,0,1,0,0,2,1
3,1,2,1,1,2,2,0,1,3,0,0,1,3,1,0,2,2,3,0,0,4,3,1,0,2,1,0,0,0,5,2,2,0,0,1,1,1,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,1,3,2,5,0,1,3,2,1,0,4,3,0,4,0,2,1,0,0,1,0,2,4,0,1,2,5,2
1,1,2,2,2,0,0,2,0,1,1,1,1,0,3,5,0,0,3,4,2,0,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,2,1,2,0
2,1,1,0,1,2,1,1,3,0,0,1,1,0,2,3,1,0,0,1,2,1,1,4,1,1,0,1,2,1,4,2,0,0,3,3,2,4,1,3,1
2,1,0,0,2,1,2,2,2,4,1,4,0,2,0,1,1,1,2,3,2,2,0,3,0,0,2,2,2,0,2,1,1,0,2,0,1,3,2,2,0
2,2,2,2,0,0,0,0,2,1,0,2,0,4,0,1,0,2,2,1,3,3,3,1,3,2,2,0,2,2,1,1,2,0,0,1,2,3,2,0,2
0,0,1,0,2,1,1,1,1,3,1,2,0,4,1,2,2,0,1,2,5,3,0,2,0,2,1,1,3,0,2,1,2,0,1,2,0,4,2,1,1
4,1,2,1,1,1,1,2,1,0,0,2,2,1,0,1,0,0,1,3,1,1,2,2,3,2,0,2,2,1,3,1,2,0,4,1,1,1,2,2,1
3,0,3,2,1,2,1,1,0,0,1,0,1,1,0,3,1,0,1,4,4,0,1,1,2,2,2,0,2,1,1,0,2,0,2,3,2,1,1,3,3
1,0,1,1,6,3,3,1,0,0,0,1,2,1,0,3,1,1,0,1,2,2,4,0,2,1,0,4,3,3,1,2,3,0,2,0,0,1,1,1,0
1,2,0,0,2,0,3,1,3,1,2,2,2,1,2,0,1,3,1,1,1,2,3,0,1,1,1,1,0,1,1,1,1,0,6,1,3,2,1,0,3
1,1,3,1,0,0,1,2,0,2,5,2,1,1,2,2,4,1,1,3,2,1,0,1,0,2,1,3,0,0,1,1,2,0,0,4,3,0,1,0,3
0,3,0,1,1,2,4,0,0,2,3,1,1,0,1,2,0,0,1,2,2,1,1,5,0,3,1,2,2,2,2,1,1,0,1,4,0,1,0,4,1
2,0,1,0,0,1,4,1,1,1,2,2,0,3,0,0,0,1,0,4,2,4,1,1,0,2,1,2,1,1,1,0,3,0,0,2,4,4,2,1,3
2,0,1,0,1,2,0,1,3,2,3,1,1,5,1,1,2,0,2,2,2,0,1,1,0,2,3,2,2,0,2,2,2,0,0,1,3,2,1,1,1
0,2,2,1,2,0,2,0,2,4,0,2,0,0,2,1,3,2,1,0,1,1,2,1,1,3,0,5,2,2,2,3,1,0,0,2,1,1,1,0,3
2,2,2,2,3,0,2,1,1,4,0,1,3,1,1,2,0,0,1,2,0,3,1,2,3,1,1,3,2,2,3,1,1,0,2,0,0,2,0,0,1
1,1,0,3,0,1,5,2,1,0,2,0,0,1,1,3,0,3,2,1,1,1,3,2,4,2,0,1,1,3,3,0,2,0,0,3,1,2,1,1,0
4,1,0,1,3,0,0,0,0,1,1,3,2,1,1,2,2,0,2,2,1,2,2,0,3,0,0,0,1,0,3,1,2,0,5,1,2,1,4,0,4
2,0,0,1,2,1,1,3,3,1,1,1,0,1,1,3,0,3,3,1,0,4,0,1,1,2,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,1,1,3,1,5,0,0,0,1,0,1,1,3,1,2,3,1,2,0,1,1,3,0,1,0,3,3,2,1,1,2,1,0,2,2,1,3,1,3,1
0,4,1,2,0,0,2,1,2,2,1,3,2,3,0,1,1,3,4,3,0,1,1,1,0,1,1,4,2,0,1,1,3,0,1,1,0,3,2,0,0
2,2,2,1,3,0,1,1,1,1,1,1,3,2,0,0,0,2,0,6,1,1,1,4,0,1,1,1,0,1,2,2,0,0,0,1,1,3,3,3,3
5,0,0,1,2,6,0,2,1,1,2,2,2,0,1,3,2,0,1,3,3,3,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,2,5
1,4,2,1,1,0,0,5,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,1,3,0,1,1,2,1,5,0,0,0,1,0,0,1,3,1
1,3,0,3,1,2,0,2,3,0,1,1,1,4,1,2,1,1,2,0,1,1,2,2,2,0,4,0,0,1,1,3,1,0,1,2,1,2,0,1,4
3,1,1,3,0,1,2,2,1,3,1,0,0,0,1,1,0,0,1,2,1,0,0,4,2,3,3,3,2,2,2,3,1,0,1,0,3,1,2,0,4
2,0,1,5,0,1,2,1,1,3,1,1,4,1,3,1,0,2,3,0,1,0,1,1,3,2,2,0,0,2,1,0,1,0,2,3,3,3,2,1,0
1,5,1,1,2,1,0,1,1,0,2,4,2,2,2,3,1,0,4,0,2,3,2,0,1,1,0,1,0,2,0,3,2,0,1,1,1,0,3,3,1
1,1,3,1,1,2,5,3,2,1,4,2,1,0,2,3,0,1,0,2,2,2,1,1,0,1,2,4,2,1,1,1,3,0,0,0,1,1,1,0,1
0,3,0,0,1,1,0,2,2,3,1,0,3,1,2,1,1,2,0,4,1,3,0,1,2,2,0,2,4,3,1,0,0,0,1,5,4,0,2,2,0
2,0,3,1,1,2,2,0,2,0,0,5,2,0,2,1,2,3,2,2,2,2,2,1,1,6,1,0,1,0,1,1,2,0,2,1,1,2,0,2,0
3,0,0,3,2,2,1,0,1,0,1,0,0,3,2,2,1,0,3,4,1,2,0,2,2,2,2,3,3,1,3,3,1,0,0,1,1,1,0,3,1
1,0,1,3,1,0,0,2,2,1,6,0,3,5,1,2,4,3,2,0,1,0,1,2,2,2,0,1,0,4,1,0,1,0,1,3,1,1,0,1,1
1,1,4,0,1,0,1,0,0,1,2,3,5,0,2,2,2,3,2,2,0,2,1,0,1,1,3,0,0,0,2,1,5,0,1,1,1,4,1,1,3
1,1,1,0,1,0,2,4,2,3,0,1,5,1,0,1,1,3,1,1,2,4,2,1,3,2,0,1,1,1,2,2,2,0,2,0,3,0,1,0,2
1,2,2,0,1,1,2,0,2,0,1,0,3,1,4,1,1,2,1,1,3,4,1,2,5,1,1,0,1,3,0,1,1,0,2,1,0,1,0,5,2
3,0,4,2,2,3,1,1,0,1,2,0,0,2,2,1,1,0,1,2,2,0,3,2,0,2,1,0,2,3,3,1,0,0,1,1,5,1,3,2,0
2,3,1,2,1,4,1,0,2,2,1,0,0,1,2,2,2,2,0,3,3,2,0,2,0,3,2,1,2,1,1,1,0,0,1,1,2,3,0,1,3
3,0,2,1,1,2,1,1,0,2,3,2,4,0,0,1,1,2,2,3,1,0,5,2,0,1,1,2,1,0,2,0,2,0,2,0,2,1,2,4,1
1,0,0,2,2,1,0,1,0,0,1,2,2,2,3,3,1,5,4,2,6,0,3,0,2,1,2,2,1,1,1,1,1,0,3,0,1,0,0,2,1
3,1,2,1,1,2,2,0,1,3,0,0,1,3,1,0,2,2,4,0,0,4,3,1,0,2,1,0,0,0,5,3,2,0,0,1,1,1,4,2,1
0,1,1,1,2,0,0,0,0,0,3,1,0,1,3,2,5,0,1,3,2,1,0,4,3,0,4,0,3,1,1,0,1,0,2,4,0,1,2,5,2
1,1,2,2,2,0,1,2,0,1,1,1,1,0,3,5,0,0,3,4,2,1,3,2,0,0,2,2,0,4,3,1,0,0,1,3,1,2,1,2,0
2,1,1,0,1,2,1,1,3,0,0,1,1,0,2,3,2,0,0,1,2,2,1,4,1,1,0,1,2,1,4,2,0,0,3,3,2,4,1,3,1
2,1,0,0,2,1,2,3,2,4,1,4,0,2,0,1,1,1,2,3,2,2,0,3,0,0,2,2,2,0,2,1,2,0,2,0,1,3,2,2,0
2,2,2,2,0,0,0,0,2,1,0,2,0,4,0,1,0,2,2,1,3,3,3,1,3,2,2,0,3,2,1,1,2,0,0,1,2,3,3,0,2
0,0,1,0,2,1,1,1,1,3,1,2,0,4,1,2,2,0,1,2,5,4,0,2,0,2,1,1,3,0,2,1,2,0,1,2,0,4,2,1,2
4,1,2,1,1,1,1,2,1,0,0,2,3,1,0,1,0,0,1,3,1,1,2,2,3,2,0,2,2,2,3,1,2,0,4,1,1,1,2,2,1
3,0,3,2,1,2,1,1,0,0,2,0,2,1,0,3,1,0,1,4,4,0,1,1,2,2,2,0,2,1,1,0,2,0,2,3,2,1,1,3,3
1,0,1,1,6,3,3,1,0,0,0,1,2,1,0,3,1,1,0,1,2,2,4,0,2,1,0,4,3,3,1,2,3,0,2,1,1,1,1,1,0
1,2,0,0,2,0,3,1,3,1,3,2,2,1,2,0,1,3,1,1,1,2,3,0,1,1,1,2,0,1,1,1,1,0,6,1,3,2,1,0,3
1,1,3,1,0,0,1,2,1,2,5,2,1,1,2,2,4,1,2,3,2,1,0,1,0,2,1,3,0,0,1,1,2,0,0,4,3,0,1,0,3
0,3,0,1,1,2,4,0,0,2,4,1,1,0,1,2,0,1,1,2,2,1,1,5,0,3,1,2,2,2,2,1,1,0,1,4,0,1,0,4,1
2,0,1,0,0,1,4,1,1,1,2,2,1,3,0,0,0,1,0,4,2,4,1,1,0,2,1,2,1,1,1,0,3,0,0,3,4,4,2,1,3
2,0,1,0,1,2,0,1,3,3,3,1,1,5,1,1,2,0,2,2,2,0,1,2,0,2,3,2,2,0,2,2,2,0,0,1,3,2,1,1,1
0,2,2,1,2,0,2,0,2,4,0,2,0,0,3,1,3,2,1,0,1,1,2,1,1,4,0,5,2,2,2,3,1,0,0,2,1,1,1,0,3
2,2,2,2,3,0,3,1,1,4,0,1,3,1,1,2,0,0,1,2,0,3,1,2,3,1,1,3,2,2,3,1,1,0,2,1,0,2,0,0,1
1,1,0,3,0,1,5,2,2,0,2,0,0,1,1,3,0,3,2,1,1,1,3,2,4,2,0,1,1,3,3,0,2,0,0,3,1,2,1,1,1
4,1,0,1,3,0,0,0,0,1,1,3,2,1,1,2,2,1,2,2,1,2,2,1,3,0,0,0,1,0,3,1,2,0,5,1,2,1,4,0,4
2,0,0,1,2,1,1,3,3,1,1,1,0,1,1,3,0,3,3,1,1,4,0,2,1,2,3,2,1,1,2,2,0,0,0,2,2,0,2,4,1
0,1,1,3,1,5,0,0,0,1,0,1,1,3,1,2,3,1,3,0,1,1,3,0,1,0,3,3,2,1,2,2,1,0,2,2,1,3,1,3,1
0,4,1,2,0,0,2,1,2,2,1,4,2,3,0,1,1,3,4,3,0,1,1,2,0,1,1,4,2,0,1,1,3,0,1,1,0,3,2,0,0
3,2,2,1,3,0,1,1,1,1,1,1,3,2,0,0,0,2,0,6,1,1,1,4,0,1,1,1,1,1,2,2,0,0,0,1,1,3,3,3,3
5,0,0,1,2,6,0,2,1,1,2,2,2,0,2,3,2,0,1,3,3,3,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,2,5
1,4,2,1,1,1,0,5,1,3,2,1,2,2,1,2,1,2,1,1,1,1,0,3,1,3,0,1,1,2,1,5,0,0,0,1,1,0,1,3,1
1,3,0,3,1,2,0,2,3,0,1,1,1,4,1,2,2,1,2,0,1,1,2,2,2,0,5,0,0,1,1,3,1,0,1,2,1,2,0,1,4
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0
0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,20
0,0,0,0,20,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0
0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0
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20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0
0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0
20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
20,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
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30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,1,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,4,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,2,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,2,0,1,1,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,3,0,1,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,1,0,4,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,2,0,0,0,0,1,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,2,0,0,0,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,1,1,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,2,0,1,1,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,2,0,1,2,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,0,3,0,1,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,3,0,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,1,0,4,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,2,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,2,0,1,0,0,0,2,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,3,0,1,0,2,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,2,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,1,0,2,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,2,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,3,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,0,0,0,2,0,1,0,0,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,1,1,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,0,2,1,1,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,4,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,3,1,0,1,1,2,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,0,0,0,0,1,3,0,1,0,2,0,1,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,3,0,0,1,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,0,1,0,1,0,4,1,0,1,0,0,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,0,2,0,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,2,0,1,1,1,0,1,2,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,1,0,3,0,1,0,0,0,2,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,1,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,3,0,1,0,2,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,2,2,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,2,0,2,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,0,2,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,2,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,2,1,1,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,1,1,2,0,0,1,1,1,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,3,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,1,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,3,0,0,1,1,0,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,2,0,1,0,2,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,3,0,1,1,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0
1,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,1,2,1,2,1,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,3,0,1,1,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,0,0,0,0,0,0,4,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,0,0,0,0,0,1,0,1,0,4,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,3,2,0,1,1,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,1,0,0,0,1,4,0,1,0,2,0,1,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,1,3,0,0,1,1,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,1,0,1,0,4,1,0,1,0,1,2,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,0,1,1,2,0,1,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,1,1,0,1,2,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,3,0,1,0,1,0,2,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,2,0,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,0,3,0,2,0,2,0,0,0,1,2,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,1,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,2,2,1,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,3,0,2,1,0,0,1,0,0,1,2,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,0,2,1,0,0,0,0,1,0,0,2,1,0,1,1,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,1,1,0,0,1,0,0,0,2,0,0,2,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,2,1,1,0,2,2,0,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,1,0,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,1,1,2,0,0,1,1,1,2,0,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,3,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,2,0,0,0,1,0,0,0,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,3,0,0,1,2,1,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,2,0,0,0,0,3,0,1,0,0,2,0,1,0,2,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,0,0,2,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,2,1,0,1,2,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,3,0,1,1,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,2,2,1,0,0,1,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0
1,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,1,2,1,2,2,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,3,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,0,0,0,0,0,0,4,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0,0,0,1,1,0,1,0,4,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,3,2,0,1,1,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,1,1,0,0,1,4,0,1,0,2,0,1,0,0,0,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,3,0,0,1,1,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,1,0,1,0,4,1,0,1,1,1,2,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,2,1,1,1,2,0,1,1,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,1,1,0,1,2,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,2,0,3,0,1,0,1,0,2,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,3,1,1,1,0,0,0,1,0,0,2,0,0,0,1,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,0,0,0,0,3,0,2,0,2,0,0,0,1,3,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,1,0,1,0,2,0,0,1,1,3,0,1,0,0,1,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,2,3,1,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,3,0,2,1,0,0,1,1,0,1,2,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,1,2,1,0,0,0,0,1,0,0,3,1,0,1,1,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,1,1,0,0,1,0,0,0,2,0,0,2,0,0,0,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,2,1,1,0,2,2,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,2,1,2,0,0,1,1,1,2,0,0,1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,1,3,0,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,3,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,3,2,0,0,0,1,0,0,0,1,2,0,2,1,0,1,0,0,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,0,0,3,0,0,1,2,1,1,1,2,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,2,0,0,0,0,4,0,1,0,0,2,0,1,0,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,3,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,3,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,3,1,0,1,2,0,0,0,1,0,0,1,1,0,2,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,1,0,0,0,0,1,0,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,3,0,1,1,0,0,4,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,2,2,1,0,0,1,1,0,1,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,1,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0
1,0,0,1,1,1,0,0,0,1,2,0,0,0,1,0,0,2,1,0,1,0,1,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,1,2,1,2,3,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,3,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,0,0,0,0,0,0,5,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,1,2,0,1,0,0,0,2,1,0,1,0,4,1,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,2,0,0,3,2,0,1,1,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,1,0,1,1,0,0,1,4,0,1,0,2,0,1,0,0,0,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,0,1,2,0,0,0,0,0,1,0,0,0,1,2,0,1,3,0,0,1,1,3,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,1,1,1,0,4,1,0,1,1,1,3,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,2,1,1,1,3,0,1,1,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,2,0,1,1,0,1,1,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,1,0,0,0,0,0,2,0,2,0,3,0,1,0,1,0,2,0,3,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,3,1,1,1,0,0,0,1,0,0,3,0,0,0,2,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,0,0,0,0,3,0,2,0,2,0,0,0,1,3,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,1,0,1,0,2,0,0,1,2,3,0,1,0,0,1,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,1,0,1,2,3,1,0,2,0,3,0,1,0,1,0,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,3,0,2,2,0,0,1,1,0,1,2,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,0,0,0,0,1,0,0,3,1,0,1,2,1,0,0,2,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,1,1,0,0,2,0,0,0,2,0,0,2,0,0,0,3,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,1,2,1,2,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,2,1,1,0,3,2,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,0,1,2,0,0,0,0,0,3,0,0,0,0,0,1,1,2,1,2,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,0,0,1,2,2,2,0,0,1,1,1,2,0,0,1,1,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,2,1,1,3,0,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,0,1,0,1,0,1,0,1,1,0,0,3,0,0,1,1,1,0,0,3,1,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0
0,1,1,0,0,3,2,0,0,0,1,0,0,0,1,2,0,2,1,0,1,0,0,1,0,1,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,1,0,3,0,0,1,2,1,1,1,2,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,0,0,0,4,0,1,0,0,2,1,1,0,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,4,0,1,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,3,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,3,1,0,1,2,0,0,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,1,0,0,0,0,1,0,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,1,0,1,0,3,0,1,1,1,0,5,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,3,2,1,0,0,1,1,0,1,0,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,1,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,1,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0
1,0,0,1,1,1,0,0,0,1,2,0,1,0,2,0,0,2,1,0,1,0,1,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,2,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,3,0,1,2,1,2,3,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,3,0,1,1,2,0,0,1,1,1,2,0,2,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,1,0,0,0,0,0,5,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,1,1,1,1,0,0,1,1,2,0,1,0,0,0,2,1,0,1,0,4,1,0,0,2,0,0,0,0,0,0,0,0
0,1,0,0,3,0,0,3,2,0,1,1,2,0,0,1,0,1,1,0,1,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,1,1,0,0,1,4,0,1,0,2,1,1,0,0,0,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,1,1,2,0,0,0,0,0,1,0,0,0,1,2,0,1,3,0,0,1,1,3,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,1,1,1,0,4,1,0,1,1,1,3,1,1,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,1,0,2,0,0,1,0,0,2,1,1,1,3,0,1,1,2,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,3,0,1,1,1,1,1,1,2,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,1,0,0,0,0,0,2,0,2,0,3,0,1,0,1,0,2,0,3,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,3,1,1,1,0,0,0,1,0,0,3,0,0,0,2,0,0,0,2,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,0,0,1,0,3,0,2,0,2,0,0,1,1,3,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,1,0,1,0,2,0,0,1,2,3,0,1,0,0,2,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,1,0,1,2,3,1,0,3,0,3,0,1,0,1,0,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,1,0,0,3,0,2,2,0,0,1,1,0,1,2,0,0,1,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,0,0,0,0,1,0,0,3,1,0,1,2,1,0,0,2,1,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,1,1,0,0,2,1,0,0,2,0,0,2,0,0,0,3,0,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,1,2,1,2,1,1,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,2,1,1,0,3,2,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,1,0,1,2,0,0,0,0,0,3,0,0,1,0,0,1,1,2,1,2,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,0,2,2,2,2,0,0,1,1,1,2,0,0,1,1,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,1,0,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,2,1,1,3,0,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,0,1,1,1,0,1,0,1,1,0,0,3,0,0,1,1,1,0,0,3,1,0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,3,3,0,0,0,1,0,0,0,1,2,0,2,1,0,1,0,0,1,0,1,0,0,1,2,2,0,1,0,0,0,0,0,0,0,0
1,0,0,2,1,1,0,3,0,0,1,2,1,1,2,2,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,0,1,0,4,0,2,0,0,2,1,1,0,2,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,4,0,2,0,0,0,0,0,2,1,1,0,1,1,0,0,1,0,3,0,1,0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,1,0,3,1,0,1,2,0,0,0,1,0,0,1,1,1,2,1,0,0,0,0,1,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,1,0,1,0,0,1,0,1,2,1,1,1,1,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,1,0,1,0,3,0,1,1,2,0,5,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,1,0,1,0,0,0,3,2,1,0,0,1,1,1,1,0,0,1,0,2,0,2,0,1,0,0,0,0,0,0,0,0
0,1,0,1,2,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,1,2,0,1,1,2,1,1,0,0,0,0,0,0,0,0
2,0,0,1,1,1,0,0,0,1,2,0,1,0,2,0,0,2,1,0,2,0,1,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,2,0,0,0,3,0,1,2,1,2,3,1,0,0,0,0,0,0,0,0
0,1,1,1,0,0,1,3,1,1,1,2,0,0,1,1,1,2,0,2,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,1,0,0,0,0,1,5,1,2,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,1,1,1,2,0,0,1,1,2,0,1,0,0,0,2,1,0,1,1,4,1,0,0,2,0,0,0,0,0,0,0,0
0,1,0,0,3,0,0,3,2,0,2,1,2,0,0,1,0,1,1,1,1,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,1,0,0,0,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,1,2,2,0,0,0,0,0,1,0,0,0,1,2,0,1,3,0,0,1,1,3,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0
0,0,2,0,1,0,0,0,1,1,1,0,4,1,0,1,1,1,3,2,1,0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,2,0,0,1,0,0,2,1,1,1,3,0,1,1,2,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,3,0,1,1,1,1,1,2,3,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,1,0,0,0,0,0,3,0,2,0,3,0,1,0,1,0,2,0,3,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,3,1,1,1,1,0,0,1,0,0,3,0,0,0,2,0,0,0,3,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,1,0,1,0,3,1,2,0,2,0,0,1,1,3,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,1,0,1,0,2,1,0,1,2,3,0,1,0,0,2,1,0,0,4,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,1,2,0,2,2,3,1,0,3,0,3,0,1,0,1,0,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,1,1,0,0,3,0,2,2,0,0,1,1,0,1,3,0,0,2,1,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0
0,1,0,1,2,2,0,0,0,0,1,0,0,3,1,0,1,2,2,0,0,2,1,1,0,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,2,1,1,0,0,2,1,0,0,2,0,0,3,0,0,0,3,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,2,2,1,3,1,1,0,0,1,0,0,1,2,0,0,1,0,0,2,1,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,2,1,2,0,3,2,0,0,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,1,0,2,2,0,0,0,0,0,3,0,0,1,0,0,1,1,2,1,3,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,0,2,2,2,2,0,0,2,1,1,2,0,0,1,1,3,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,1,0,1,0,1,1,0,0,2,1,1,0,1,0,0,0,1,0,2,1,1,3,1,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,1,1,1,1,0,1,0,1,1,0,0,3,0,0,1,1,1,0,0,3,1,1,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,3,3,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,0,1,0,1,0,0,1,3,2,0,1,0,0,0,0,0,0,0,0
1,0,0,3,1,1,0,3,0,0,1,2,1,1,2,2,2,0,0,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,0,1,0,4,0,2,0,0,2,1,1,0,2,1,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,4,0,2,0,0,0,0,0,2,2,1,0,1,1,0,0,1,0,3,0,1,1,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,1,0,3,1,0,1,2,1,0,0,1,0,0,1,1,1,2,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,1,0,2,1,0,0,2,1,0,1,1,1,1,0,0,1,0,1,2,1,2,1,1,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,1,0,0,1,0,2,1,0,1,0,0,1,1,0,1,0,3,0,1,1,2,0,5,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,1,0,1,0,0,1,3,2,1,0,0,1,1,1,1,0,0,1,0,3,0,2,0,1,0,0,0,0,0,0,0,0
0,1,0,1,2,0,2,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,2,1,2,0,1,1,3,1,1,0,0,0,0,0,0,0,0
2,0,0,1,1,1,0,0,0,1,2,1,1,0,2,0,0,2,2,0,2,0,1,0,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,3,0,2,2,1,2,3,1,0,0,0,0,0,0,0,0
0,1,1,2,0,0,1,3,1,1,1,3,0,0,1,1,1,2,0,2,0,0,0,0,1,0,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0
2,2,0,1,2,0,0,1,1,0,0,1,0,1,5,1,2,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,1,1,1,2,2,0,0,1,1,2,0,1,0,0,0,2,1,0,1,1,4,1,0,0,2,0,0,0,0,0,0,0,0
0,1,0,0,3,0,0,3,2,0,2,1,2,0,0,1,0,2,1,1,1,2,0,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,1,1,1,0,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,1,2,0,1,3,0,0,1,1,3,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0
0,0,2,0,1,1,0,0,1,1,1,0,4,1,0,1,1,1,3,2,1,0,1,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,2,0,0,1,0,0,3,2,1,1,3,0,1,1,2,1,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,3,0,1,1,1,2,1,2,3,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0
0,0,0,2,1,1,1,1,0,0,0,1,0,3,0,2,0,3,0,1,0,1,0,2,0,3,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0
1,0,0,1,0,2,3,1,1,1,1,0,1,1,0,0,3,0,0,0,2,0,1,0,3,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,1,0,1,0,3,1,2,0,2,0,0,1,1,3,1,0,1,2,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,0,0,1,0,1,0,2,1,0,2,2,3,0,1,0,0,2,1,0,0,4,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,1,2,0,2,2,4,1,0,3,0,3,0,1,0,1,0,1,0,0,0,0,0,0,0,0
1,1,0,1,1,0,1,1,0,0,3,0,2,2,0,0,1,1,0,1,3,0,0,2,1,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,0,3,1,0,1,2,2,0,0,2,1,1,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,2,1,1,0,1,2,1,0,0,2,0,0,3,0,0,0,3,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,2,2,1,3,1,1,0,0,1,0,0,1,3,0,0,1,0,0,2,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,2,1,2,0,3,2,0,0,1,1,1,1,2,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,1,0,2,2,0,0,0,2,0,3,0,0,1,0,0,1,1,2,1,3,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,0,2,2,2,2,0,0,2,1,1,2,0,0,1,1,3,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
2,1,1,0,1,1,0,1,0,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,1,1,3,1,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,1,1,1,1,0,1,0,1,1,0,0,3,0,0,1,1,1,0,2,3,1,1,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,3,3,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,0,1,0,1,1,0,1,3,2,0,2,0,0,0,0,0,0,0,0
1,0,0,3,1,2,0,3,0,0,1,2,1,1,2,2,2,0,0,1,0,0,3,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,0,1,1,4,0,2,0,0,3,1,1,0,2,1,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,5,0,2,0,0,0,0,0,2,2,1,0,1,1,0,0,1,0,3,0,1,2,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,1,0,3,1,1,1,2,1,0,0,1,0,0,1,1,1,3,1,0,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,1,0,2,2,0,0,2,1,0,2,1,1,1,0,0,1,0,1,2,1,2,1,1,1,0,0,0,0,0,0,0,0
0,1,2,0,0,0,1,0,0,1,0,3,1,0,1,0,0,1,2,0,1,0,3,0,1,1,2,0,5,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,1,0,1,1,0,1,3,2,1,0,0,1,1,1,1,0,0,1,0,3,0,3,0,1,0,0,0,0,0,0,0,0
0,1,0,1,3,0,2,1,1,0,0,0,1,0,0,1,0,1,0,2,1,0,0,1,2,1,2,0,1,1,3,1,1,0,0,0,0,0,0,0,0
2,0,0,1,1,1,0,0,0,1,3,1,1,0,2,0,0,2,2,0,2,0,1,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,1,2,0,0,0,3,0,2,2,1,2,3,1,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,3,1,1,1,3,0,0,1,1,1,2,0,2,0,0,0,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,0,1,2,0,0,1,1,0,0,1,0,1,5,1,2,1,0,0,1,0,1,1,1,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,1,1,1,2,2,0,0,1,1,2,0,1,0,0,0,2,1,0,1,1,4,1,1,1,2,0,0,0,0,0,0,0,0
0,1,0,0,4,0,0,3,2,0,2,1,2,0,1,1,0,2,1,1,1,2,0,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,1,1,1,0,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,1,2,0,1,4,1,0,1,1,3,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0
0,0,3,0,1,1,0,0,1,1,1,0,4,1,0,1,1,1,3,3,1,0,1,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,2,0,3,0,0,1,0,0,3,2,1,1,3,0,1,1,2,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,4,0,1,1,1,2,1,2,3,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0
0,1,0,2,1,1,1,1,0,0,0,1,0,3,0,2,0,3,0,1,0,1,0,2,0,3,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0
2,0,1,1,0,2,3,1,1,1,1,0,1,1,0,0,3,0,0,0,2,0,1,0,3,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,2,0,1,0,3,1,2,0,2,0,0,2,1,3,1,0,1,2,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,1,0,0,1,0,1,0,2,1,0,3,2,3,0,1,0,0,2,1,0,0,4,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,1,3,0,2,2,4,1,0,3,0,3,0,1,0,1,0,2,0,0,0,0,0,0,0,0
1,1,0,1,1,0,1,2,0,0,3,1,2,2,0,0,1,1,0,1,3,0,0,2,1,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,0,3,1,0,1,2,2,0,1,2,1,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,1,1,0,0,2,1,1,0,1,2,1,0,0,3,0,0,3,0,0,0,3,0,0,2,2,1,2,2,0,0,0,0,0,0,0,0,0
2,0,0,0,1,0,2,2,1,3,1,1,0,1,1,0,0,1,3,0,0,2,0,0,2,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,1,0,0,2,3,2,0,3,2,0,0,1,1,1,1,2,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0
0,1,1,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,0,1,0,0,1,1,2,1,3,1,1,2,1,0,1,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,0,2,2,2,2,0,1,2,1,1,2,0,0,1,1,3,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0
3,1,1,1,1,1,0,1,0,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,1,1,3,1,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,1,0,1,0,1,1,0,0,3,0,0,1,1,1,0,2,3,1,1,0,1,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,3,3,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,0,1,1,1,1,0,1,4,2,0,2,0,0,0,0,0,0,0,0
1,0,0,3,1,2,0,3,0,1,1,2,1,1,2,2,2,0,0,1,0,0,3,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,2,0,0,3,0,0,1,1,4,0,2,0,0,3,1,1,0,2,1,0,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,1,0,0,5,0,2,0,0,0,0,1,2,2,1,0,1,1,0,0,1,0,3,0,1,2,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,1,0,3,1,1,1,2,1,0,0,1,0,0,1,1,1,3,1,0,1,1,0,2,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,1,0,2,2,0,0,2,1,0,2,1,2,1,1,0,1,0,1,2,1,2,1,1,1,0,0,0,0,0,0,0,0
0,1,2,0,0,1,2,0,0,1,0,3,1,0,1,0,0,1,2,0,1,0,3,0,1,1,2,0,5,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,1,0,1,2,0,1,3,2,1,0,0,1,1,1,1,0,0,2,0,3,0,3,0,1,0,0,0,0,0,0,0,0
0,1,0,1,3,0,2,1,1,0,0,0,2,0,0,1,0,1,0,2,1,0,0,1,2,1,3,0,1,1,3,1,1,0,0,0,0,0,0,0,0
2,0,0,2,1,1,0,0,0,1,3,1,1,0,2,0,0,2,2,0,3,0,1,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,1,0,1,1,1,1,0,0,0,0,1,0,0,2,2,0,0,0,3,0,3,2,1,2,3,1,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,3,1,1,1,3,0,0,1,1,1,2,0,2,0,1,0,0,1,1,1,3,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,0,1,2,0,0,1,1,0,0,1,0,1,5,1,2,1,0,1,1,0,1,1,2,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,1,1,1,2,2,0,0,1,1,2,0,1,0,0,0,2,1,0,1,2,4,2,1,1,2,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,2,1,2,0,1,1,0,2,1,1,1,2,0,1,0,0,0,0,1,3,2,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,1,1,1,2,1,1,4,1,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,2,2,0,1,4,1,0,1,1,3,1,0,1,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,2,1,0,0,1,1,1,0,4,1,0,1,2,1,3,3,1,0,1,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,0,2,0,3,0,0,1,0,0,3,2,1,1,3,1,1,1,2,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,1,0,1,4,0,1,1,1,2,1,2,3,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0
0,1,0,2,1,1,1,1,0,0,0,1,0,4,0,2,1,3,0,1,0,1,0,2,0,3,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0
2,0,2,1,0,2,3,2,1,1,1,0,1,1,0,0,3,0,0,0,2,0,1,0,3,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,2,0,1,0,3,1,2,0,2,0,0,2,1,3,1,0,2,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,1,0,1,1,1,1,0,2,1,0,3,2,3,0,1,0,0,2,1,0,0,4,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,1,3,0,3,2,5,1,0,3,0,3,0,1,0,1,0,2,0,0,0,0,0,0,0,0
1,1,0,1,1,0,1,2,0,0,3,1,2,2,0,0,1,1,0,2,3,0,0,3,1,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,0,5,1,0,1,2,2,0,1,2,1,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,0,2,1,1,0,1,2,1,0,0,3,0,0,3,0,0,0,3,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0
2,1,0,0,1,0,2,2,1,4,1,1,0,1,1,0,0,1,3,0,0,2,0,0,2,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,0,0,2,3,2,0,3,2,1,0,1,1,1,1,2,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0
0,1,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,0,1,0,0,1,1,2,1,3,1,1,2,1,1,1,0,0,0,0,0,0,0,0
0,0,0,0,2,1,1,0,0,4,2,2,2,0,1,2,1,1,2,0,0,1,1,3,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0
3,1,1,2,1,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,1,1,3,1,1,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,1,0,1,1,1,1,0,0,3,0,0,1,1,1,0,3,3,1,1,0,1,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,5,3,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,0,1,1,1,1,0,1,4,2,0,2,0,0,0,0,0,0,0,0
1,0,0,3,1,2,0,3,0,1,1,2,1,1,2,2,2,0,0,2,1,0,3,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,3,0,0,3,0,0,1,1,4,0,2,0,0,3,1,1,0,2,1,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,0,0,0,0,1,2,2,1,0,1,1,0,0,1,0,3,0,1,2,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,1,1,0,3,1,1,1,2,1,0,0,1,0,0,1,1,1,3,1,0,1,1,2,2,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,2,0,2,2,0,0,2,1,0,2,1,2,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,1,2,0,0,1,2,0,0,1,1,3,1,0,1,0,0,1,2,0,1,0,3,0,1,1,2,0,6,1,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,1,1,0,2,2,0,1,3,2,1,0,0,1,1,1,1,0,0,2,0,3,0,3,0,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,2,1,2,0,0,0,2,0,0,1,0,1,0,2,1,0,0,1,2,1,3,0,1,1,3,1,1,0,0,0,0,0,0,0,0
2,0,0,2,2,2,0,0,0,1,3,1,1,0,2,0,0,2,2,0,3,0,1,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,1,1,1,1,1,1,0,0,0,0,1,0,0,2,2,1,0,0,3,0,3,2,1,2,3,1,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,3,1,1,1,3,0,0,2,1,1,2,0,2,0,1,0,0,1,1,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,0,1,2,0,0,1,1,0,0,1,0,1,5,1,2,1,0,1,2,0,1,1,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,1,1,1,2,2,1,0,1,1,2,0,1,1,0,0,2,1,0,1,2,4,2,1,1,2,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,2,1,2,0,1,1,0,2,1,1,1,2,0,1,0,1,0,0,2,3,2,0,0,0,0,0,0,0,0,0,0
2,0,0,0,1,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,2,1,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,1,0,1,2,2,0,0,1,0,0,1,0,0,1,2,2,0,1,4,1,0,1,1,3,1,0,1,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,2,1,0,0,1,1,1,0,4,1,1,1,2,1,3,3,1,0,1,0,0,1,2,1,0,0,3,0,0,0,0,0,0,0,0,0,0
0,1,2,1,1,0,0,2,0,3,0,0,1,0,0,4,2,1,1,3,1,1,1,2,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,2,0,1,4,0,1,1,1,2,1,2,3,1,0,1,0,1,0,1,1,2,0,0,0,0,0,0,0,0
0,1,1,2,1,1,1,1,0,0,0,1,0,4,0,2,1,3,0,1,0,1,1,2,0,3,1,2,0,1,1,1,1,0,0,0,0,0,0,0,0
2,0,2,1,0,2,3,2,1,1,1,0,1,1,0,0,3,0,0,0,2,0,1,0,4,0,1,1,0,1,2,2,0,0,0,0,0,0,0,0,0
0,1,2,0,1,2,0,1,0,3,1,3,0,2,0,0,3,1,3,1,0,2,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,1,0,1,1,1,1,0,2,1,1,3,2,3,0,1,0,0,3,1,0,0,4,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,0,1,2,1,1,2,3,0,4,2,5,1,0,3,0,3,0,1,0,1,0,2,0,0,0,0,0,0,0,0
1,1,0,1,1,1,2,2,0,0,3,1,2,2,0,0,1,1,0,2,3,0,0,3,1,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,1,5,1,0,1,2,3,0,1,2,1,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,1,0,0,2,1,1,0,1,2,1,0,0,3,0,0,3,1,0,0,4,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0
2,1,0,0,1,0,2,2,1,4,1,1,0,1,1,0,0,2,3,0,0,2,0,1,2,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,0,0,2,3,2,0,3,2,2,1,1,1,1,1,2,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0
0,2,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,1,0,0,1,1,2,1,3,1,1,2,1,1,1,0,0,0,0,0,0,0,0
0,0,1,0,2,1,1,0,0,4,2,2,2,0,1,2,1,2,2,0,0,1,1,3,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0
4,1,1,2,1,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,1,1,3,1,1,1,0,2,1,0,0,0,0,0,0,0,0
2,0,2,1,2,1,1,1,1,1,1,0,0,3,0,0,1,1,1,0,3,3,1,1,0,1,0,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,5,3,0,0,0,1,0,0,0,1,3,0,2,1,0,1,0,1,2,1,1,1,0,1,4,2,0,2,0,0,0,0,0,0,0,0
1,0,0,3,1,2,0,3,0,1,1,2,1,1,2,2,2,0,0,2,1,0,3,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,3,0,0,3,0,0,1,1,4,0,2,0,0,3,1,1,1,2,2,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,1,0,0,0,1,2,2,1,0,1,1,0,0,1,0,3,0,1,2,3,0,1,1,1,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,0,3,1,1,2,2,1,0,0,1,0,0,1,1,1,3,1,0,1,1,2,2,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,1,2,0,3,2,0,0,2,1,0,2,1,2,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,1,2,0,0,1,2,0,0,1,1,3,1,0,1,0,0,1,2,0,1,0,3,0,1,1,2,0,6,2,0,0,2,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,1,1,0,2,2,0,1,3,2,1,0,0,1,1,1,1,0,1,2,0,3,0,3,1,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,2,1,2,0,0,0,2,0,0,1,0,1,0,2,2,0,0,1,2,1,3,0,1,1,3,1,2,0,0,0,0,0,0,0,0
2,0,0,2,2,2,0,0,0,1,3,1,1,0,2,1,0,2,2,0,3,0,2,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,1,2,1,1,1,1,0,0,0,0,1,0,0,2,2,1,0,0,4,0,3,2,1,2,3,1,0,0,0,0,0,0,0,0
1,1,1,2,0,0,1,3,1,1,1,3,0,0,2,1,2,2,0,2,1,1,0,0,1,1,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,0,1,2,0,0,1,1,0,0,1,0,1,5,1,2,2,0,1,3,0,1,1,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,2,1,1,2,2,1,0,1,2,2,0,1,1,0,0,2,1,0,1,2,4,2,1,1,2,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,2,1,2,0,1,1,0,2,1,1,1,2,0,2,0,1,0,0,2,4,2,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,1,1,0,1,1,0,0,1,4,1,1,1,2,1,2,2,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,2,0,1,2,2,0,0,1,0,0,1,0,0,1,2,2,0,1,4,1,1,1,1,3,1,0,1,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,2,1,0,0,2,1,1,0,4,2,1,1,2,1,3,3,1,0,1,0,0,1,2,1,0,0,3,0,0,0,0,0,0,0,0,0,0
0,1,2,1,1,0,0,2,0,3,0,0,1,0,1,4,2,1,2,3,1,1,1,2,1,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,2,0,1,4,0,1,1,1,2,1,2,3,1,0,2,0,1,0,1,1,3,0,0,0,0,0,0,0,0
0,1,1,2,1,1,1,1,0,0,0,1,0,4,0,2,1,3,0,2,0,1,1,2,0,3,1,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,0,2,3,2,1,1,1,0,1,1,0,0,3,1,0,0,2,0,1,0,4,0,1,1,0,1,2,3,0,0,0,0,0,0,0,0,0
1,1,2,0,1,2,0,1,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,1,1,1,1,0,2,1,1,3,2,3,0,1,0,0,3,1,0,0,5,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,0,1,2,1,1,2,3,0,4,2,5,1,0,3,0,3,0,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,2,0,0,4,1,2,2,0,0,1,1,0,2,3,0,0,3,1,1,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,1,5,1,0,1,2,4,0,1,2,1,2,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,1,1,0,0,2,1,1,0,1,2,1,1,0,3,0,0,3,1,0,0,4,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0
2,1,0,0,1,0,2,2,1,4,1,1,0,1,1,0,0,2,3,0,0,3,0,1,3,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,0,0,3,3,2,0,3,2,2,1,1,1,1,1,3,1,1,1,0,1,0,1,2,0,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,1,0,1,1,1,2,1,3,1,1,2,1,1,1,0,0,0,0,0,0,0,0
0,0,1,0,2,1,1,0,0,4,2,2,2,0,1,2,1,2,2,0,0,2,2,3,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0
4,2,1,2,1,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,1,1,0,2,1,1,4,1,1,1,0,2,1,0,0,0,0,0,0,0,0
2,0,2,1,2,1,1,1,1,1,1,0,0,3,0,0,1,1,2,0,3,3,1,1,0,1,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,0,0,5,3,0,0,0,1,0,0,0,1,3,0,2,2,1,1,0,1,2,1,1,1,0,1,4,2,0,2,0,0,0,0,0,0,0,0
1,0,0,4,1,2,0,3,1,1,1,2,1,1,2,2,2,0,0,2,1,0,3,1,1,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,3,0,0,3,0,0,1,1,4,0,2,0,0,3,3,1,1,2,2,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,1,0,0,0,1,2,2,1,0,1,1,0,0,2,0,3,0,1,2,3,0,1,1,2,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,1,3,1,1,2,2,1,0,0,1,0,0,1,1,1,3,2,0,1,1,2,2,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,1,2,0,3,2,1,0,3,1,0,2,1,2,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,1,2,0,0,1,2,0,0,1,1,3,1,0,1,0,0,1,2,1,1,0,3,0,1,1,2,0,6,2,1,0,2,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,1,1,0,2,2,0,1,3,2,1,0,0,1,1,1,1,0,1,2,1,3,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,2,1,2,1,1,0,2,0,0,1,0,1,0,2,2,0,0,1,2,1,3,0,1,1,3,1,2,0,0,0,0,0,0,0,0
3,0,0,2,2,2,0,0,0,1,3,1,1,0,2,2,0,2,2,0,3,0,2,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,2,2,1,1,1,1,0,0,0,0,1,0,0,2,2,1,0,1,4,0,3,2,1,2,3,1,0,0,0,0,0,0,0,0
1,1,3,2,0,0,1,3,1,1,1,3,0,0,2,1,2,2,0,2,1,1,0,0,1,1,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,0,0,1,1,0,0,1,0,1,5,1,2,3,0,1,3,0,1,1,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,1,2,1,1,2,2,1,0,1,2,2,0,1,1,0,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,3,1,2,0,1,1,0,2,1,1,1,2,0,2,0,1,0,0,2,5,2,0,0,0,0,0,0,0,0,0,0
2,0,0,1,1,1,2,1,0,2,1,0,0,1,4,1,1,1,2,1,2,2,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,2,2,0,0,1,0,0,1,0,0,1,2,2,0,1,4,2,1,1,1,3,1,0,1,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,2,1,0,0,2,1,1,0,5,2,1,1,2,1,3,3,1,0,1,0,0,1,2,2,0,0,3,0,0,0,0,0,0,0,0,0,0
0,1,2,1,1,1,0,2,0,3,0,0,1,0,1,4,2,1,2,3,1,1,1,2,1,0,1,2,0,0,0,1,3,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,2,0,1,4,0,1,1,1,2,1,3,4,1,0,2,0,1,0,1,1,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,1,1,0,0,0,1,0,4,0,2,1,3,0,2,0,1,1,3,0,3,1,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,0,2,3,2,1,1,1,0,1,2,0,0,3,1,1,0,2,0,1,0,4,0,1,1,0,1,2,3,0,0,0,0,0,0,0,0,0
1,2,2,0,1,2,1,1,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,0,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,1,1,1,1,0,2,1,1,3,2,3,0,1,1,1,3,1,0,0,5,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,1,0,0,0,1,2,1,1,2,3,0,4,2,5,1,0,3,0,3,0,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,2,0,0,4,1,2,2,0,0,1,1,0,2,3,0,0,3,1,1,0,1,0,0,4,1,1,0,0,0,0,0,0,0,0
0,1,0,2,2,2,0,0,0,0,1,0,1,5,1,0,1,2,4,0,1,2,1,2,1,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,2,1,0,0,2,1,1,0,1,2,1,1,0,3,0,0,3,1,0,0,4,0,0,2,2,2,3,2,0,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,2,1,4,1,1,0,1,1,0,0,2,3,0,0,3,0,1,3,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,0,0,3,3,2,0,3,2,2,1,1,1,1,1,3,1,1,1,0,2,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,1,0,1,1,1,2,2,3,1,1,2,1,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,1,1,0,0,4,2,2,2,0,1,2,2,2,2,0,0,2,2,3,0,1,1,1,2,1,0,0,1,0,0,0,0,0,0,0,0
4,2,1,2,1,1,0,1,1,1,1,0,0,2,1,1,0,1,0,0,2,1,0,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
2,0,2,1,2,1,1,2,1,1,1,0,1,3,0,0,1,1,2,0,3,3,1,1,0,1,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,1,0,5,4,0,0,0,1,0,0,0,1,3,0,2,2,1,1,0,1,2,1,1,1,0,1,4,2,0,2,0,0,0,0,0,0,0,0
1,0,0,4,1,2,0,3,1,1,1,2,1,1,2,2,2,0,0,2,1,0,3,2,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0
0,1,1,0,4,0,0,4,0,0,1,1,4,0,2,0,0,3,3,1,1,2,2,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,1,0,0,0,1,2,2,1,0,1,1,0,0,3,0,3,0,2,2,3,0,1,1,2,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,1,3,2,1,2,2,1,1,0,1,0,0,1,1,1,3,2,0,1,1,2,2,0,1,1,2,0,0,0,0,0,0,0,0
1,0,0,0,0,2,1,1,1,2,0,3,2,2,0,3,2,0,2,1,2,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,2,2,0,0,1,2,0,0,1,1,3,1,0,1,0,0,1,2,1,1,0,3,0,1,1,2,0,6,2,1,1,2,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,1,2,0,2,2,0,1,3,2,1,0,0,1,1,1,1,0,1,2,1,3,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,2,1,2,1,1,0,2,0,0,1,0,2,0,2,2,0,0,1,2,1,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
3,0,0,2,2,2,0,0,0,1,3,1,1,0,2,2,0,2,3,0,3,1,2,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,2,2,1,1,1,1,0,0,0,0,1,0,0,2,2,1,0,1,4,1,3,2,2,2,3,1,0,0,0,0,0,0,0,0
1,1,3,2,0,0,1,3,1,1,1,4,0,0,2,1,2,2,0,2,1,1,0,0,1,2,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,0,0,1,1,0,1,1,0,2,5,1,2,3,0,1,3,0,1,1,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,2,0,0,1,1,2,2,1,1,2,2,1,0,1,2,2,0,1,1,0,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,3,1,2,0,1,2,0,2,1,1,1,2,0,2,0,2,0,0,2,5,2,0,0,0,0,0,0,0,0,0,0
2,0,0,1,2,1,2,2,0,2,1,0,0,1,4,1,1,1,2,1,2,2,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,2,2,0,0,1,0,1,1,0,0,1,2,2,0,1,4,2,1,1,1,3,1,0,2,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,2,1,0,0,2,1,1,1,5,2,1,1,2,1,3,3,1,0,1,0,0,1,2,2,0,0,3,0,1,0,0,0,0,0,0,0,0
0,2,2,1,1,1,0,2,0,3,0,0,1,0,1,4,2,1,2,3,1,1,1,3,1,0,1,2,0,0,0,1,3,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,2,0,1,4,0,1,1,2,2,1,3,4,1,0,2,0,1,0,1,2,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,2,1,0,0,0,1,0,4,0,2,1,3,0,2,0,2,1,3,0,3,1,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,2,3,2,1,1,1,0,1,2,0,0,3,1,1,0,2,0,1,0,4,0,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,2,0,1,2,1,1,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,1,0,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,1,1,1,1,0,2,1,2,3,2,3,0,1,1,1,3,1,0,0,6,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,1,0,0,0,1,2,1,1,3,3,0,4,2,6,1,0,3,0,3,0,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,3,0,0,4,1,2,2,0,0,1,1,0,2,3,0,0,3,2,1,0,1,0,0,4,1,1,0,0,0,0,0,0,0,0
0,1,0,2,3,2,0,0,0,0,1,0,1,6,1,0,1,2,4,0,1,2,1,2,1,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,1,2,1,0,0,2,1,1,0,1,2,1,1,1,3,0,0,3,1,0,0,4,0,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,1,0,1,2,1,2,2,1,4,1,1,0,1,1,0,0,2,4,0,0,3,0,1,3,1,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,2,0,3,3,2,0,3,2,2,1,1,1,1,1,3,1,1,1,0,2,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,1,0,2,1,2,2,2,3,1,1,2,1,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,1,1,0,0,4,2,2,2,0,1,2,2,2,2,0,0,2,2,3,0,2,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0
4,2,1,2,1,1,0,1,2,1,2,0,0,2,1,1,0,1,0,0,2,1,0,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
2,0,2,1,2,1,1,2,1,1,1,0,1,3,0,0,1,1,3,0,4,3,1,1,0,1,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,1,0,5,4,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,2,1,1,1,0,1,4,2,1,2,0,0,0,0,0,0,0,0
1,0,0,4,1,2,0,5,1,1,1,2,1,1,2,2,2,0,0,2,1,0,3,2,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0
0,1,1,0,4,0,0,4,0,0,1,1,4,0,2,1,0,3,3,1,2,2,2,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,1,0,1,0,1,2,2,1,0,1,1,0,0,3,0,3,0,2,3,3,0,1,1,2,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,1,3,2,2,2,2,1,1,0,1,0,0,1,1,1,3,2,0,1,1,2,2,0,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,1,2,0,3,2,2,0,3,2,0,2,1,2,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,1,0,1,0,0,1,2,1,1,0,3,0,1,1,2,0,6,2,1,1,2,0,0,0,0,0,0,0,0
1,0,3,2,0,2,0,1,1,2,0,2,2,0,1,3,2,1,0,0,1,1,1,1,0,1,2,1,3,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,3,1,2,1,1,0,2,0,0,1,0,2,0,2,2,0,0,1,3,1,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,2,2,2,0,0,0,1,3,1,1,0,2,2,0,2,3,0,3,1,3,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,3,2,1,1,1,1,0,0,0,0,1,0,0,2,2,1,1,1,4,1,3,2,2,2,3,1,0,0,0,0,0,0,0,0
1,1,3,2,0,0,1,3,1,1,2,4,0,0,3,1,2,2,0,2,1,1,0,0,1,2,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,1,0,1,1,0,1,1,1,2,5,1,2,3,0,1,3,0,1,1,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,2,0,0,1,1,3,2,1,1,3,2,1,0,1,2,2,0,1,1,0,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,3,1,2,0,1,2,0,2,1,1,1,2,0,2,0,2,0,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,1,1,2,1,2,2,0,2,1,0,0,1,4,1,1,1,2,2,2,2,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,0,0,1,0,1,1,1,0,1,2,2,0,1,4,2,1,1,1,3,1,0,2,2,0,2,2,0,0,0,0,0,0,0,0
0,0,3,0,3,1,0,0,2,1,1,1,5,2,1,2,2,1,3,3,1,0,1,0,0,1,2,2,0,0,3,0,1,0,0,0,0,0,0,0,0
0,2,2,1,1,1,0,2,0,3,0,0,1,0,2,4,2,2,2,3,1,1,1,3,1,0,1,2,0,0,0,1,3,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,2,2,0,1,3,2,0,1,5,0,1,1,2,2,1,3,4,1,0,3,0,1,0,1,2,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,2,1,0,0,0,1,0,4,0,2,1,3,0,2,0,2,1,3,0,4,2,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,2,2,3,2,1,1,2,0,1,2,0,0,3,1,1,0,2,0,1,0,4,0,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,0,1,2,1,1,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,1,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,1,0,2,1,2,3,3,3,0,1,1,1,3,1,0,0,6,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,1,1,2,0,0,1,0,0,0,1,2,1,1,3,3,0,4,2,6,1,0,3,0,3,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,3,0,0,4,1,2,2,0,0,2,1,1,2,3,0,0,3,2,1,0,1,0,0,4,1,1,0,0,0,0,0,0,0,0
0,1,0,2,3,2,0,0,0,1,1,0,1,6,1,0,1,3,4,0,1,2,1,2,1,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,2,1,0,1,2,1,1,0,1,2,1,1,1,3,0,0,3,1,0,0,4,0,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,1,0,1,3,1,2,2,1,4,1,1,0,1,1,0,0,2,4,0,0,3,0,1,3,1,0,0,2,0,2,3,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,3,0,3,3,2,0,3,2,2,1,1,1,1,1,3,2,1,1,0,2,0,2,2,0,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,1,1,2,1,2,2,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,2,2,2,0,1,2,2,2,2,0,0,2,2,3,0,2,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0
4,2,1,2,1,1,0,1,2,1,2,0,0,2,2,1,0,1,0,0,2,2,0,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
3,0,2,1,2,1,1,2,1,1,1,0,1,3,1,0,1,1,3,0,4,3,1,1,0,1,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,1,0,5,4,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,2,1,2,1,0,2,4,2,1,2,0,0,0,0,0,0,0,0
2,0,0,5,1,2,0,5,1,1,1,2,1,1,2,2,2,0,0,2,1,0,3,2,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0
0,1,1,0,4,0,0,4,1,0,1,1,4,0,2,1,0,4,3,1,2,2,2,0,1,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0
1,2,0,0,5,0,3,1,0,1,0,1,2,2,1,1,1,1,0,0,3,0,3,0,2,3,3,0,1,1,3,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,1,3,2,2,2,2,1,1,2,1,0,0,1,1,1,3,2,0,1,1,2,2,0,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,1,2,0,3,2,2,1,3,2,0,2,1,3,1,1,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,2,0,2,0,0,1,2,1,1,0,3,0,1,1,2,0,6,2,1,1,2,0,0,0,0,0,0,0,0
1,1,3,2,0,2,0,1,1,2,0,2,2,0,1,3,2,2,0,0,1,1,1,1,0,1,2,1,3,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,3,2,2,1,1,0,2,0,0,1,0,3,0,2,2,0,0,1,3,1,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,3,2,3,0,0,0,1,3,1,1,0,2,2,0,2,3,0,3,1,3,1,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
1,1,0,3,0,0,2,3,2,1,1,1,2,0,0,0,0,1,0,0,2,2,1,1,1,4,2,3,2,2,2,3,1,0,0,0,0,0,0,0,0
2,1,3,2,0,0,1,3,2,1,2,4,0,0,3,1,2,2,0,2,1,1,0,0,1,2,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,1,0,1,1,0,1,1,1,2,5,1,2,3,0,1,3,0,1,3,2,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0
0,1,2,0,0,1,1,3,2,1,1,3,2,1,0,1,2,2,0,1,1,2,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,0,0,3,2,0,3,1,3,0,1,2,1,2,1,1,1,2,0,2,0,2,0,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,1,1,2,1,2,2,0,2,1,0,0,1,4,2,1,1,2,2,2,3,1,2,1,1,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,1,0,1,2,2,0,1,4,2,1,1,1,3,1,1,2,2,0,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,2,1,1,1,5,2,1,2,2,2,3,3,1,0,1,0,0,1,2,2,0,0,3,0,1,0,0,0,0,0,0,0,0
0,2,2,1,1,1,0,2,0,3,0,0,1,0,2,5,2,2,2,3,1,1,1,3,1,0,1,2,0,0,0,1,4,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,2,2,0,1,3,2,0,1,5,0,1,1,2,2,1,3,4,1,0,3,0,1,0,1,2,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,2,1,0,0,0,1,0,4,0,2,2,3,0,2,0,2,1,3,0,5,2,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,2,2,3,2,1,1,2,1,1,2,0,0,4,1,1,0,2,0,1,0,4,0,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,0,1,2,2,1,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,1,0,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,2,3,3,3,0,1,1,1,3,1,0,0,6,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,1,1,2,0,0,1,0,0,0,1,2,1,1,4,4,0,4,2,6,1,0,3,0,3,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,3,0,0,4,1,2,2,0,0,3,1,1,2,3,0,0,3,2,1,0,1,0,0,4,2,1,0,0,0,0,0,0,0,0
0,1,0,2,4,2,0,0,0,1,1,0,1,6,1,0,1,3,4,0,1,2,1,2,1,4,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,3,1,0,1,2,1,1,0,1,2,1,1,1,3,0,0,4,1,0,0,4,0,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,1,0,1,3,1,2,2,1,4,1,1,0,2,1,0,0,2,4,0,0,3,0,1,3,1,1,0,2,0,2,3,0,0,0,0,0,0,0,0,0
0,1,0,0,1,2,3,0,3,3,2,0,4,2,2,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,1,0,3,2,1,0,0,2,0,3,0,1,2,1,3,1,2,2,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,2,2,2,0,2,2,2,2,2,0,0,2,2,3,0,2,1,2,2,1,0,0,3,0,0,0,0,0,0,0,0
4,2,1,3,1,1,0,1,2,1,2,0,0,2,2,1,0,1,0,0,2,2,1,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
3,0,2,1,2,1,1,2,1,1,1,0,1,3,1,0,1,1,3,0,4,4,1,1,0,2,1,2,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,1,0,5,4,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,2,2,2,1,0,2,4,2,1,3,0,0,0,0,0,0,0,0
2,0,0,5,1,2,0,5,1,1,1,2,1,1,2,2,2,0,0,3,2,0,3,2,1,0,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0
0,1,1,1,4,0,0,4,1,0,1,1,4,0,2,1,0,4,3,1,2,2,2,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,0,5,2,3,1,0,1,0,1,2,2,1,1,1,1,0,0,3,0,3,0,2,3,3,0,1,1,3,0,1,0,0,0,0,0,0,0,0
2,1,0,0,1,1,1,2,3,2,2,2,2,1,1,2,1,0,0,1,2,1,3,2,0,1,1,2,2,0,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,2,2,0,3,2,2,1,3,2,0,2,1,3,1,2,0,1,0,1,2,1,2,1,2,1,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,2,0,2,0,0,1,2,1,1,0,3,0,1,1,3,0,6,2,2,1,2,0,0,0,0,0,0,0,0
1,1,3,2,0,3,0,1,1,2,0,2,2,0,1,3,2,2,0,0,1,1,1,1,0,1,2,1,4,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,2,3,0,3,2,2,1,1,0,2,1,0,1,0,3,0,2,2,0,0,1,3,2,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,3,2,3,0,0,0,1,4,1,1,0,2,2,0,2,3,0,3,1,3,2,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
2,1,0,3,0,0,2,3,2,1,1,1,2,0,0,0,0,1,0,0,2,2,1,1,1,4,2,3,2,3,2,3,1,0,0,0,0,0,0,0,0
2,1,3,2,0,0,1,3,2,2,2,4,0,1,3,1,2,2,0,2,1,1,0,0,1,2,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,1,0,1,1,0,1,1,1,2,5,1,2,3,0,1,3,0,1,3,2,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0
0,1,2,0,0,1,3,3,2,1,1,3,2,1,0,1,2,2,0,1,1,2,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,0,1,3,2,0,3,1,3,0,1,2,1,2,1,1,1,2,0,2,0,2,1,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,1,1,2,1,2,2,0,2,1,1,0,1,4,2,1,1,2,2,2,3,1,2,1,1,4,1,0,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,1,0,1,3,2,0,1,4,2,1,2,1,3,1,1,2,2,0,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,2,1,1,1,5,2,1,4,2,2,3,3,1,0,1,0,0,1,2,2,0,0,3,0,1,0,0,0,0,0,0,0,0
1,2,2,1,1,1,0,2,0,3,0,0,1,0,2,5,2,2,2,3,1,1,1,3,1,0,1,2,0,0,0,1,5,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,3,2,0,1,3,2,0,1,5,0,1,1,2,2,1,3,4,1,0,3,0,1,1,1,2,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,2,1,0,0,0,2,0,4,0,2,2,3,0,2,0,2,1,3,1,5,2,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,0,2,1,2,2,4,2,1,1,2,1,1,2,0,0,4,1,1,0,2,0,1,0,4,1,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,0,1,2,2,2,0,3,1,3,0,2,0,0,3,1,3,1,0,3,2,1,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,2,3,3,3,0,1,1,1,4,1,0,0,6,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0
1,0,1,1,1,2,0,0,1,0,0,0,1,2,1,1,4,4,0,4,2,7,1,0,3,0,3,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,3,0,0,4,1,2,2,0,0,3,1,1,2,3,0,0,4,3,1,0,1,0,0,4,2,1,0,0,0,0,0,0,0,0
0,1,1,2,4,2,0,0,0,1,2,0,1,6,1,0,1,3,4,0,1,2,1,2,1,4,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,3,1,0,1,2,1,1,0,1,2,1,1,1,3,0,0,5,1,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,1,3,1,2,2,1,4,1,1,0,2,1,0,0,2,4,0,0,3,0,2,3,1,1,0,2,0,2,3,0,0,0,0,0,0,0,0,0
1,1,0,0,1,2,3,0,3,3,2,0,4,2,3,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,0,1,1,0,0,0,0,0,0,0,0
0,3,2,0,1,0,0,2,0,3,2,1,0,0,2,0,3,0,1,2,1,3,1,3,2,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,2,2,2,0,2,2,2,2,2,0,1,2,2,4,0,2,1,2,2,1,0,0,3,0,0,0,0,0,0,0,0
4,2,1,3,1,1,1,1,2,1,2,0,0,2,2,1,0,1,0,0,3,2,1,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
3,1,2,1,2,1,1,2,1,1,1,0,1,3,1,0,1,1,3,0,4,4,1,1,0,2,1,3,0,2,0,0,2,0,0,0,0,0,0,0,0
0,1,1,1,0,5,5,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,2,2,2,1,0,3,4,2,1,3,0,0,0,0,0,0,0,0
2,0,0,5,1,2,0,5,1,1,1,2,1,1,2,2,2,0,0,3,2,0,3,2,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,0
0,1,1,1,4,0,0,4,1,0,1,1,5,0,2,1,1,4,3,1,2,2,2,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,0,5,2,3,1,0,1,0,1,2,3,1,1,1,1,0,0,3,0,3,0,2,3,3,1,1,1,3,0,1,0,0,0,0,0,0,0,0
2,1,0,0,2,1,1,2,3,2,2,2,2,1,1,2,1,0,0,1,2,1,3,3,0,1,1,2,2,0,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,2,2,0,3,2,2,1,3,2,0,2,1,3,1,2,0,1,0,1,2,1,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,2,0,2,0,0,1,2,1,1,0,3,0,1,1,4,0,6,2,2,1,3,0,0,0,0,0,0,0,0
1,1,3,2,0,3,0,1,1,2,1,2,2,0,1,3,2,2,0,0,1,1,1,1,0,2,2,1,4,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,3,3,0,3,2,2,1,1,0,2,1,0,1,0,4,0,2,2,0,0,1,3,2,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,3,2,3,0,1,0,1,4,1,1,0,3,2,0,2,3,0,3,1,3,2,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
2,1,0,3,0,0,2,3,2,1,1,1,2,0,0,0,0,1,0,0,2,2,2,2,1,4,2,3,2,3,2,3,1,0,0,0,0,0,0,0,0
2,1,3,2,0,0,1,3,2,2,2,4,0,2,3,2,2,2,0,2,1,1,0,0,1,2,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,1,0,1,1,0,1,1,1,2,5,1,3,3,1,1,3,0,1,3,2,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0
1,1,2,0,0,1,3,3,3,1,1,3,2,1,0,1,2,2,0,1,1,2,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,4,1,1,4,2,0,3,1,3,0,1,2,1,2,1,1,1,2,0,2,0,2,1,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,1,1,2,1,2,2,0,2,1,1,0,1,5,2,1,1,2,2,2,3,1,2,1,1,4,2,0,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,1,0,1,3,2,0,1,4,2,1,2,1,3,1,1,3,2,1,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,3,1,1,1,5,2,1,4,2,2,3,3,1,0,1,0,0,1,2,2,0,0,4,0,1,0,0,0,0,0,0,0,0
1,2,2,1,1,1,0,2,0,4,0,0,1,0,3,5,2,2,2,3,1,1,1,3,1,0,1,2,0,0,0,1,5,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,4,2,0,1,3,2,0,1,5,0,1,1,2,2,1,3,4,1,0,3,0,1,1,1,2,3,0,0,0,0,0,0,0,0
1,1,1,2,1,1,2,1,0,0,0,2,0,4,0,3,2,3,0,2,1,2,1,3,1,5,2,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,1,3,1,2,2,4,2,1,1,2,1,1,2,0,0,4,1,1,0,2,0,1,0,4,1,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,0,1,2,2,2,0,3,1,3,0,2,0,0,3,1,3,1,2,3,2,1,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,3,3,3,3,0,1,1,1,4,1,0,1,6,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0
1,0,1,1,1,2,0,0,1,0,0,0,1,2,2,1,4,4,0,5,2,7,1,0,3,0,3,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,1,0,1,1,1,2,3,0,0,4,1,2,2,0,1,3,1,1,2,3,0,0,4,3,1,0,1,0,0,4,3,1,0,0,0,0,0,0,0,0
0,1,1,2,4,2,0,0,0,1,2,0,1,7,1,0,1,3,4,0,1,2,1,2,1,4,1,3,1,1,0,0,1,0,0,0,0,0,0,0,0
1,1,2,2,3,1,0,1,2,1,1,0,1,2,1,1,1,3,0,0,5,2,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,1,4,1,2,2,1,4,1,1,0,2,1,0,0,2,4,0,0,3,0,2,3,1,1,0,2,0,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,1,2,3,0,3,3,2,0,4,2,3,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,0,2,1,0,0,0,0,0,0,0,0
1,3,2,0,1,0,0,2,0,3,2,1,0,0,2,0,3,0,1,2,2,3,1,3,2,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,2,2,2,1,2,2,2,2,2,0,2,2,2,4,0,2,1,2,2,1,0,0,3,0,0,0,0,0,0,0,0
4,2,1,3,1,1,2,1,2,1,2,0,0,2,2,2,0,1,0,0,3,2,1,2,1,1,4,1,1,1,1,2,1,0,0,0,0,0,0,0,0
3,1,2,1,3,1,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,4,1,1,0,2,1,3,0,2,0,0,2,0,0,0,0,0,0,0,0
1,1,1,1,0,5,5,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,2,3,2,1,0,3,4,2,1,3,0,0,0,0,0,0,0,0
2,1,0,6,1,2,0,5,1,1,1,2,1,1,2,2,2,0,0,3,2,0,3,2,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,0
0,2,1,1,4,0,0,4,1,0,1,1,5,0,2,1,1,4,4,1,2,2,2,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,0,5,2,3,2,0,1,0,1,2,3,1,1,1,1,0,0,3,0,3,0,2,3,3,1,2,1,3,0,1,0,0,0,0,0,0,0,0
2,1,0,0,2,1,1,3,3,2,2,2,2,1,1,2,1,0,0,1,3,1,3,3,0,1,1,2,2,0,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,2,2,1,3,2,3,1,3,2,0,2,1,3,1,2,0,1,0,1,2,1,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,2,0,2,0,0,1,2,2,1,0,3,0,1,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
1,1,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,1,1,1,1,0,3,2,1,4,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,3,3,0,4,2,2,1,1,0,2,1,0,1,0,4,0,2,2,0,0,1,4,2,3,0,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,3,2,3,0,2,0,1,4,1,1,0,3,2,0,2,3,0,3,1,3,2,2,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0
2,1,0,3,0,0,2,4,2,1,1,1,2,0,0,0,0,1,0,0,2,2,2,2,1,4,2,4,2,3,2,3,1,0,0,0,0,0,0,0,0
2,1,3,2,0,0,1,3,2,2,2,4,0,2,3,2,2,2,0,3,1,1,0,0,1,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,3,1,1,2,1,0,1,1,0,1,1,1,2,5,1,3,4,1,1,3,0,1,4,2,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0
1,2,2,0,0,1,3,3,3,1,1,3,2,1,1,1,2,2,0,1,1,2,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,5,1,1,4,2,0,3,1,3,1,1,2,1,2,1,1,1,2,0,2,0,2,1,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,2,1,2,1,2,3,0,2,1,1,0,1,5,2,1,1,2,2,2,3,1,2,1,1,4,2,0,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,1,0,1,4,2,0,1,4,2,1,2,1,3,1,1,3,2,2,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,3,1,1,1,5,2,1,4,2,2,3,4,1,0,1,0,0,1,2,2,1,0,4,0,1,0,0,0,0,0,0,0,0
1,2,2,1,1,1,0,2,0,4,0,0,1,0,3,5,2,2,2,3,2,1,1,4,1,0,1,2,0,0,0,1,5,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,5,2,0,1,3,2,0,1,5,0,1,1,2,2,1,3,4,1,0,3,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,2,1,2,1,1,2,1,0,0,0,2,0,4,0,3,2,3,0,2,1,2,1,4,1,5,2,2,0,1,2,1,1,0,0,0,0,0,0,0,0
2,1,4,1,2,2,4,2,1,1,2,1,1,2,0,0,4,1,1,0,3,0,1,0,4,1,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,0,1,2,3,2,0,3,1,3,0,2,0,0,3,1,3,1,2,3,3,1,1,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,3,3,3,3,0,1,1,1,4,1,0,1,6,0,0,0,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,1,2,1,2,1,0,1,0,0,0,1,2,2,1,4,4,0,5,2,7,1,0,3,0,3,1,1,0,1,1,2,0,0,0,0,0,0,0,0
3,1,0,1,1,1,2,3,0,0,4,1,2,2,0,1,3,1,1,2,3,0,0,4,3,1,0,2,0,0,4,3,1,0,0,0,0,0,0,0,0
0,1,1,2,4,2,0,0,0,1,2,0,1,7,1,0,1,4,4,0,2,2,1,2,1,4,1,3,1,1,0,0,1,0,0,0,0,0,0,0,0
1,1,2,2,3,1,0,1,2,1,1,0,1,2,1,1,1,3,0,0,5,4,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,1,4,1,3,2,1,4,1,1,0,2,1,1,0,2,4,0,0,3,0,2,3,1,1,0,2,0,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,1,2,3,0,3,3,3,0,4,2,4,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,0,2,1,0,0,0,0,0,0,0,0
1,3,2,0,1,0,0,2,0,3,2,1,0,0,2,0,4,0,1,2,2,3,2,3,2,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,2,2,2,1,2,2,2,2,2,0,2,3,2,4,0,2,1,2,2,1,1,0,3,0,0,0,0,0,0,0,0
4,2,2,3,1,1,2,1,2,1,2,0,0,2,2,2,0,1,0,0,3,2,1,2,1,1,4,1,1,1,1,2,2,0,0,0,0,0,0,0,0
3,1,2,1,3,1,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,5,2,1,0,2,1,3,0,2,0,0,2,0,0,0,0,0,0,0,0
1,1,1,2,0,5,5,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,3,3,2,1,0,3,4,2,1,3,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,1,1,3,1,1,2,2,2,0,0,3,2,0,3,2,1,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,0
0,2,1,1,4,0,0,4,2,0,1,1,5,0,2,1,1,4,4,1,2,2,3,0,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,0,5,2,3,2,0,1,0,1,2,3,1,1,1,1,0,0,3,0,3,1,2,3,3,1,2,1,4,0,1,0,0,0,0,0,0,0,0
2,1,0,0,2,1,1,3,3,2,2,2,2,1,2,2,1,0,0,1,3,1,3,3,0,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,2,3,1,3,2,4,1,3,2,0,2,1,3,1,2,0,1,0,1,2,1,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,1,1,2,0,1,1,1,3,2,0,2,0,1,1,2,2,1,0,3,1,1,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
1,2,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,1,1,1,1,0,3,3,1,4,0,3,2,1,0,0,0,0,0,0,0,0
0,1,0,3,3,0,4,2,2,1,1,0,2,1,0,1,0,4,0,2,3,0,0,1,4,2,3,1,1,2,3,1,2,0,0,0,0,0,0,0,0
4,0,0,3,3,3,0,2,0,1,4,1,1,0,3,2,0,2,3,0,3,1,3,2,2,1,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0
2,1,0,3,0,0,2,4,2,1,2,1,2,0,0,0,0,2,0,0,2,2,2,2,1,4,2,4,2,3,2,3,1,0,0,0,0,0,0,0,0
2,1,3,2,1,0,1,3,2,2,2,4,0,2,3,2,2,2,0,3,1,1,0,0,2,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,3,1,2,2,1,0,1,1,0,1,1,1,2,5,1,3,4,1,1,3,0,2,4,2,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0
1,2,2,0,0,1,3,3,3,1,1,3,3,1,1,1,2,2,0,1,1,3,0,2,1,0,1,2,4,2,1,1,3,0,0,0,0,0,0,0,0
0,2,0,0,5,1,1,4,2,0,3,1,3,2,1,2,1,2,1,1,2,2,0,2,0,2,1,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,2,1,2,1,2,3,0,2,1,1,0,1,6,2,1,1,2,3,2,3,1,2,1,1,4,2,0,1,0,1,1,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,2,0,1,4,2,0,1,4,2,1,2,1,3,2,1,3,2,2,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,3,1,1,1,5,2,1,4,2,3,3,4,1,0,1,0,1,1,2,2,1,0,4,0,1,0,0,0,0,0,0,0,0
1,2,2,1,1,1,0,2,0,4,1,0,2,0,3,5,2,2,2,3,2,1,1,4,1,0,1,2,0,0,0,1,5,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,5,2,0,1,3,2,0,1,6,0,1,1,2,2,1,3,4,1,0,4,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,2,1,2,1,1,2,1,0,1,0,2,0,4,0,3,2,3,0,2,1,2,1,4,1,5,2,2,0,2,2,1,1,0,0,0,0,0,0,0,0
2,1,4,1,2,2,4,2,1,1,2,1,2,2,0,0,4,1,1,0,3,1,1,0,4,1,1,1,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,1,1,2,3,2,0,3,1,3,0,2,0,0,3,1,3,1,2,3,3,1,1,1,2,2,2,1,0,0,1,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,3,3,3,3,0,1,1,1,4,1,1,1,6,0,1,0,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,2,2,1,2,1,0,1,0,0,0,1,2,2,1,4,4,0,5,2,7,1,0,3,0,3,1,2,0,1,1,2,0,0,0,0,0,0,0,0
3,1,0,1,1,1,2,3,0,0,4,1,2,2,0,1,3,1,2,2,3,0,0,4,3,1,0,2,0,0,4,3,2,0,0,0,0,0,0,0,0
0,1,1,2,5,2,0,0,0,1,2,0,1,7,1,0,1,4,4,0,2,3,1,2,1,4,1,3,1,1,0,0,1,0,0,0,0,0,0,0,0
2,1,2,2,3,2,0,1,2,1,1,0,1,2,1,1,1,3,0,0,5,4,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,1,4,1,3,2,1,4,1,1,0,2,1,1,0,2,4,0,0,3,0,2,3,1,1,0,3,1,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,2,2,3,0,3,3,3,0,5,2,4,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,0,2,1,0,0,0,0,0,0,0,0
1,4,2,0,1,0,0,2,0,3,2,1,0,0,2,0,4,0,1,2,2,3,2,3,3,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,0,2,2,1,0,0,4,3,2,2,1,2,2,2,2,2,0,2,3,2,4,0,2,1,2,3,1,1,0,3,0,0,0,0,0,0,0,0
4,2,2,3,1,1,2,1,2,1,2,0,0,2,2,2,0,1,0,0,3,2,1,2,1,1,4,1,2,2,1,2,2,0,0,0,0,0,0,0,0
3,1,2,2,3,1,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,5,2,1,1,2,1,3,0,2,0,0,2,0,0,0,0,0,0,0,0
1,1,1,2,0,6,5,0,0,1,1,0,0,0,1,3,0,2,2,1,1,0,1,3,3,2,1,0,4,4,2,1,3,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,1,1,3,1,1,2,2,2,0,0,3,2,0,3,2,2,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0
0,2,1,1,4,0,0,4,2,0,1,1,5,0,2,1,1,4,4,2,2,2,3,1,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,0,5,2,3,2,0,1,0,1,2,4,1,1,1,1,1,0,3,0,3,1,2,3,3,1,2,1,4,0,1,0,0,0,0,0,0,0,0
2,1,0,0,2,1,2,3,3,2,2,2,2,1,2,2,1,0,0,1,3,1,3,3,1,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,1,2,3,1,3,2,4,1,3,3,0,2,1,3,1,2,0,1,0,1,3,1,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,2,1,2,0,1,1,1,3,2,0,2,0,1,1,2,2,1,0,4,1,1,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
1,2,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,2,1,1,2,0,3,3,1,4,0,3,2,1,0,0,0,0,0,0,0,0
1,1,0,3,3,0,4,2,2,1,1,1,2,1,0,1,0,4,0,2,3,0,0,1,4,2,3,1,1,2,3,1,2,0,0,0,0,0,0,0,0
5,0,0,4,3,3,0,2,0,1,4,1,1,0,3,2,0,2,3,0,3,1,3,2,2,1,2,0,0,1,2,0,1,0,0,0,0,0,0,0,0
2,2,0,3,0,0,2,4,2,1,2,1,2,0,0,0,0,2,0,0,2,2,2,2,1,4,2,4,2,4,2,3,1,0,0,0,0,0,0,0,0
2,1,3,3,1,0,1,3,2,2,2,4,0,2,3,2,3,2,0,3,1,1,0,0,2,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,4,1,2,2,1,1,1,1,0,1,1,1,2,5,1,3,4,1,1,3,0,2,4,2,1,1,0,1,0,1,2,2,0,0,0,0,0,0,0,0
1,2,2,0,0,1,3,3,3,1,1,3,3,1,1,1,2,2,0,1,1,3,1,2,1,0,1,2,4,2,1,1,4,0,0,0,0,0,0,0,0
0,3,0,0,5,1,1,4,2,0,3,1,3,2,1,2,1,2,1,1,2,2,0,3,0,2,1,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,2,1,2,1,2,3,0,2,1,1,0,1,6,2,1,1,2,3,2,3,1,2,1,1,5,2,0,1,0,1,2,0,0,0,0,0,0,0,0
2,0,2,1,1,3,2,1,0,1,0,1,1,2,0,1,4,2,0,1,4,2,1,2,1,3,2,2,3,3,2,2,2,0,0,0,0,0,0,0,0
1,0,3,0,3,1,0,0,3,1,1,2,5,2,1,4,3,3,3,4,1,0,1,0,1,1,2,2,1,0,4,0,1,0,0,0,0,0,0,0,0
1,2,2,1,1,1,0,2,0,4,1,0,2,0,3,5,2,2,2,4,2,1,1,4,1,0,1,2,0,0,0,2,5,0,0,0,0,0,0,0,0
2,1,0,1,0,0,0,5,2,0,1,3,2,0,1,6,0,1,1,2,2,1,3,4,2,1,4,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,2,1,2,1,1,2,1,0,1,0,2,0,5,0,3,2,3,0,2,1,2,1,5,1,5,2,2,0,2,2,1,1,0,0,0,0,0,0,0,0
2,1,4,1,2,2,4,2,1,1,3,1,2,2,0,0,4,1,1,0,3,1,1,0,4,1,1,2,0,1,3,3,0,0,0,0,0,0,0,0,0
2,2,3,1,1,2,3,2,0,3,1,3,0,2,0,0,3,1,3,1,2,3,3,2,1,1,2,2,2,2,0,0,1,0,0,0,0,0,0,0,0
1,2,1,2,0,2,1,1,2,0,2,2,3,3,3,4,0,1,1,2,4,1,1,1,6,0,1,0,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,2,2,1,2,1,0,2,0,0,0,1,2,2,1,4,4,0,5,2,7,1,0,3,0,3,1,3,0,1,1,2,0,0,0,0,0,0,0,0
3,2,0,1,1,1,2,3,0,0,4,2,2,2,0,1,3,1,2,2,3,0,0,4,3,1,0,2,0,0,4,3,2,0,0,0,0,0,0,0,0
0,1,1,2,5,2,0,0,0,1,2,0,1,7,1,0,2,4,4,0,2,4,1,2,1,4,1,3,1,1,0,0,1,0,0,0,0,0,0,0,0
2,1,2,2,3,2,0,1,2,2,1,1,1,2,1,1,1,3,0,0,5,4,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,2,4,1,3,2,1,4,2,1,0,2,1,1,0,2,4,0,0,3,0,2,3,1,1,0,3,1,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,2,2,3,0,3,3,4,0,5,2,4,1,1,1,1,1,3,2,1,1,0,2,0,2,2,1,1,2,1,0,0,0,0,0,0,0,0
1,4,2,0,1,0,0,2,0,3,3,1,0,0,2,0,4,0,1,2,2,3,2,4,3,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,1,2,2,1,0,0,4,3,2,2,1,2,2,2,3,2,0,2,3,2,4,0,2,1,2,3,1,1,0,3,0,0,0,0,0,0,0,0
4,2,2,3,1,1,2,1,2,1,2,0,0,2,2,2,0,1,0,0,3,2,1,2,1,2,4,1,2,2,1,3,2,0,0,0,0,0,0,0,0
3,1,2,2,3,1,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,5,2,1,1,3,1,3,0,3,0,0,2,0,0,0,0,0,0,0,0
1,1,1,2,0,6,6,0,0,1,1,0,0,1,1,3,0,2,2,1,1,0,1,3,3,2,1,0,4,4,2,1,3,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,2,1,3,1,1,2,3,2,0,0,3,2,0,3,2,2,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0
1,2,1,1,4,0,0,4,2,0,1,1,6,0,2,1,1,4,4,2,2,2,3,1,1,0,1,1,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,1,5,2,3,2,0,1,0,1,2,4,1,1,1,1,1,0,3,0,3,1,2,4,3,1,2,1,4,0,1,0,0,0,0,0,0,0,0
2,1,0,0,2,1,3,3,3,3,2,2,2,1,2,2,1,0,0,1,3,1,3,3,1,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,1,2,1,1,2,3,1,3,2,4,1,3,3,1,2,1,3,1,2,0,1,0,1,3,1,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,2,1,2,0,1,1,1,4,2,0,2,0,1,1,3,2,1,0,4,1,1,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
1,3,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,2,1,1,3,0,3,3,1,4,0,3,2,1,0,0,0,0,0,0,0,0
1,1,0,3,3,0,4,2,2,1,1,1,2,1,0,1,0,4,0,2,3,0,1,1,4,2,3,1,1,2,4,1,2,0,0,0,0,0,0,0,0
5,0,0,4,3,3,0,2,0,1,4,1,1,0,3,2,0,2,3,0,4,1,3,2,2,1,2,0,0,1,2,0,2,0,0,0,0,0,0,0,0
2,2,0,4,0,0,2,4,2,1,2,1,2,0,0,0,0,2,0,0,2,2,2,2,1,4,2,5,2,4,2,3,1,0,0,0,0,0,0,0,0
2,1,3,3,3,0,1,3,2,2,2,4,0,2,3,2,3,2,0,3,1,1,0,0,2,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,4,1,2,2,1,1,1,1,0,2,1,1,2,5,1,3,4,1,1,3,0,2,4,2,1,1,0,1,0,1,2,3,0,0,0,0,0,0,0,0
1,2,2,0,0,1,4,3,3,1,1,3,3,1,1,1,2,3,0,1,1,3,1,2,1,0,1,2,4,2,1,1,4,0,0,0,0,0,0,0,0
0,3,0,0,5,1,1,4,2,0,3,1,3,2,1,2,1,2,1,2,2,2,0,3,0,2,2,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,3,1,2,1,2,3,0,2,1,1,0,1,6,2,1,2,2,3,2,3,1,2,1,1,5,2,0,1,0,1,2,0,0,0,0,0,0,0,0
3,0,2,1,1,3,2,1,0,1,0,1,1,2,0,1,4,2,0,1,5,2,1,2,1,3,2,2,3,3,2,2,2,0,0,0,0,0,0,0,0
1,0,3,1,3,1,0,0,3,1,1,2,5,2,1,4,3,3,4,4,1,0,1,0,1,1,2,2,1,0,4,0,1,0,0,0,0,0,0,0,0
2,2,2,1,1,1,0,2,0,4,1,0,2,0,3,5,2,2,2,4,2,1,1,4,1,0,1,3,0,0,0,2,5,0,0,0,0,0,0,0,0
2,1,0,1,0,1,0,5,2,1,1,3,2,0,1,6,0,1,1,2,2,1,3,4,2,1,4,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,3,1,2,1,1,2,1,0,1,0,2,0,5,0,3,2,3,0,2,1,2,2,5,1,5,2,2,0,2,2,1,1,0,0,0,0,0,0,0,0
3,1,4,1,2,2,4,2,2,1,3,1,2,2,0,0,4,1,1,0,3,1,1,0,4,1,1,2,0,1,3,3,0,0,0,0,0,0,0,0,0
2,3,3,1,1,2,3,2,0,3,1,3,0,2,0,0,3,1,3,2,2,3,3,2,1,1,2,2,2,2,0,0,1,0,0,0,0,0,0,0,0
2,2,1,2,0,2,1,1,2,0,2,2,3,3,3,4,0,1,1,2,4,2,1,1,6,0,1,0,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,2,2,1,2,1,0,2,0,0,0,1,2,2,1,4,4,0,6,3,7,1,0,3,0,3,1,3,0,1,1,2,0,0,0,0,0,0,0,0
3,2,0,1,1,1,2,3,0,1,4,2,2,2,0,1,3,1,2,2,3,0,0,4,3,1,1,2,0,0,4,3,2,0,0,0,0,0,0,0,0
0,1,1,2,5,2,0,0,0,1,2,0,1,7,1,0,2,4,5,0,2,4,1,2,1,4,1,4,1,1,0,0,1,0,0,0,0,0,0,0,0
2,1,2,2,3,2,0,1,2,2,1,1,1,2,1,1,1,5,0,0,5,4,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,2,4,1,3,2,1,4,2,1,0,3,1,1,0,2,4,0,0,3,0,2,3,2,1,0,3,1,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,2,2,3,0,3,3,4,0,5,2,4,1,1,1,1,1,4,2,1,1,0,3,0,2,2,1,1,2,1,0,0,0,0,0,0,0,0
1,4,2,0,1,0,0,2,0,3,3,2,0,0,2,0,4,0,1,2,3,3,2,4,3,2,3,1,1,2,2,1,2,0,0,0,0,0,0,0,0
0,0,1,1,2,2,1,0,1,4,3,2,2,1,2,2,2,3,2,0,2,3,3,4,0,2,1,2,3,1,1,0,3,0,0,0,0,0,0,0,0
4,2,2,3,1,1,2,1,2,1,2,0,0,2,3,2,0,1,0,0,3,2,1,2,1,2,4,1,2,2,1,4,2,0,0,0,0,0,0,0,0
3,1,3,2,3,1,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,5,2,1,1,3,1,3,0,3,1,0,2,0,0,0,0,0,0,0,0
1,1,1,2,0,6,6,0,1,1,1,0,0,1,1,3,0,2,2,1,1,1,1,3,3,2,1,0,4,4,2,1,3,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,2,1,3,2,1,2,3,2,0,0,3,2,0,4,2,2,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0
1,3,1,1,4,0,0,4,2,0,1,1,6,0,2,1,1,4,4,2,2,2,3,1,1,0,1,2,2,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,1,5,2,3,2,0,1,0,1,3,4,1,1,1,1,1,0,3,0,3,1,2,4,3,1,2,1,4,0,2,0,0,0,0,0,0,0,0
2,1,0,0,2,1,3,3,3,3,2,2,2,1,2,2,1,0,0,1,3,2,3,4,1,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,1,2,1,1,2,3,1,3,2,4,1,3,3,1,2,1,3,1,2,0,1,1,1,3,2,2,1,3,2,0,0,0,0,0,0,0,0
0,2,2,0,2,1,2,0,1,1,1,4,2,0,2,0,2,1,3,2,1,0,4,1,2,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
2,3,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,2,1,1,3,0,3,3,1,5,0,3,2,1,0,0,0,0,0,0,0,0
1,1,0,3,3,0,4,2,2,2,1,1,2,1,0,1,0,4,0,3,3,0,1,1,4,2,3,1,1,2,4,1,2,0,0,0,0,0,0,0,0
5,0,0,4,3,3,0,2,0,1,4,1,1,0,3,2,0,2,3,0,4,1,3,2,2,1,2,0,0,1,2,2,2,0,0,0,0,0,0,0,0
3,2,0,4,0,0,2,4,2,1,2,1,2,0,0,0,0,2,0,0,2,2,2,2,1,4,2,5,3,4,2,3,1,0,0,0,0,0,0,0,0
2,1,3,3,3,0,2,3,2,3,2,4,0,2,3,2,3,2,0,3,1,1,0,0,2,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,4,1,2,2,1,1,1,1,0,2,1,1,2,6,1,3,4,1,1,3,0,2,4,2,1,1,0,1,1,1,2,3,0,0,0,0,0,0,0,0
1,2,3,0,0,1,4,3,3,1,1,3,3,1,2,1,2,3,0,1,1,3,1,2,1,0,1,2,4,2,1,1,4,0,0,0,0,0,0,0,0
0,3,0,0,5,1,1,4,2,0,3,1,3,2,1,2,1,3,1,2,2,3,0,3,0,2,2,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,0,3,1,2,1,2,3,0,2,1,1,0,1,6,2,1,2,2,3,2,3,1,3,1,1,5,2,0,1,0,2,2,0,0,0,0,0,0,0,0
3,0,2,1,1,3,2,1,0,1,0,1,1,2,0,1,4,2,0,1,5,2,1,2,1,3,2,2,3,3,2,4,2,0,0,0,0,0,0,0,0
1,0,4,1,3,1,0,0,3,1,1,2,5,2,1,4,3,3,4,4,1,1,1,0,1,1,2,2,1,0,4,0,1,0,0,0,0,0,0,0,0
2,2,2,1,1,1,0,2,0,4,1,0,2,1,3,5,2,2,2,4,2,1,1,4,1,0,1,3,0,0,0,3,5,0,0,0,0,0,0,0,0
2,1,0,2,0,1,0,5,3,1,1,3,2,0,1,6,0,1,1,2,2,1,3,4,2,1,4,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,3,1,2,1,1,2,1,0,1,0,2,0,5,0,3,2,4,0,2,1,2,3,5,1,5,2,2,0,2,2,1,1,0,0,0,0,0,0,0,0
3,1,4,1,2,2,4,4,2,1,3,1,2,2,0,0,4,1,1,0,3,1,1,0,4,1,1,2,0,1,3,3,0,0,0,0,0,0,0,0,0
2,3,3,1,1,2,3,3,0,3,1,3,0,2,0,0,3,1,3,2,2,3,3,3,1,1,2,2,2,2,0,0,1,0,0,0,0,0,0,0,0
2,2,1,2,0,2,1,2,2,1,2,2,3,3,3,4,0,1,1,2,4,2,1,1,6,0,1,0,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,2,2,1,2,1,0,2,0,0,0,1,2,2,1,4,4,0,7,3,7,1,0,3,0,3,1,3,1,1,1,2,0,0,0,0,0,0,0,0
3,3,0,1,1,1,2,3,0,1,4,2,2,2,0,1,3,1,2,2,3,0,0,5,3,1,1,2,0,0,4,3,2,0,0,0,0,0,0,0,0
0,1,1,2,5,2,0,0,0,1,2,0,1,7,1,0,2,4,5,0,2,4,1,2,1,5,1,4,1,1,1,0,1,0,0,0,0,0,0,0,0
2,1,2,2,3,2,0,1,2,2,1,1,1,2,1,1,1,7,0,0,5,4,0,0,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,2,4,1,3,2,1,4,2,2,0,3,1,1,0,2,4,0,0,3,0,2,4,2,1,0,3,1,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,2,2,3,0,3,3,4,0,5,2,4,1,1,1,1,1,4,2,1,2,0,3,0,2,2,2,1,2,1,0,0,0,0,0,0,0,0
2,4,2,0,1,0,0,2,0,3,3,2,0,0,2,0,4,0,1,2,3,3,2,4,3,2,3,1,1,2,3,1,2,0,0,0,0,0,0,0,0
0,0,1,1,2,3,1,0,1,4,3,2,2,1,2,2,2,3,2,0,2,3,3,4,0,2,1,2,3,1,2,0,3,0,0,0,0,0,0,0,0
4,2,2,3,2,1,2,1,2,1,2,1,0,2,3,2,0,1,0,0,3,2,1,2,1,2,4,1,2,2,1,4,2,0,0,0,0,0,0,0,0
3,1,4,2,3,2,2,2,1,1,1,0,1,3,1,0,1,1,3,0,4,5,2,1,1,3,1,3,0,3,1,0,2,0,0,0,0,0,0,0,0
1,1,1,2,0,6,6,0,1,1,1,0,0,1,1,3,0,2,2,1,1,1,1,3,3,2,1,0,4,4,2,2,4,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,2,1,3,2,1,2,3,2,0,1,3,2,0,4,2,3,0,2,1,1,0,1,2,1,0,0,0,0,0,0,0,0
1,3,1,1,4,0,0,4,2,0,1,1,6,0,2,1,1,4,4,2,2,2,4,1,1,0,1,2,3,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,1,5,2,3,2,0,1,0,1,3,5,1,1,1,1,1,0,3,0,3,1,2,4,3,1,2,2,4,0,2,0,0,0,0,0,0,0,0
2,1,0,0,2,1,3,3,3,4,2,2,2,1,2,2,1,0,0,1,3,2,4,4,1,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,1,2,1,1,2,3,1,3,2,4,1,4,3,1,2,1,3,1,2,0,1,1,1,4,2,2,1,3,2,0,0,0,0,0,0,0,0
0,3,2,0,2,2,2,0,1,1,1,4,2,0,2,0,2,1,3,2,1,0,4,1,2,1,4,0,6,2,2,1,4,0,0,0,0,0,0,0,0
2,3,3,2,0,3,0,2,1,2,1,2,2,0,1,3,2,2,0,0,2,1,1,3,1,3,3,1,5,1,3,2,1,0,0,0,0,0,0,0,0
1,1,0,3,3,0,4,2,3,2,1,1,2,1,0,1,0,4,0,3,3,0,1,1,4,3,3,1,1,2,4,1,2,0,0,0,0,0,0,0,0
5,0,0,4,3,3,0,2,0,1,4,1,1,0,3,2,1,2,3,0,4,1,3,3,2,1,2,0,0,1,2,2,2,0,0,0,0,0,0,0,0
3,2,0,4,0,0,2,4,2,1,3,2,2,0,0,0,0,2,0,0,2,2,2,2,1,4,2,5,3,4,2,3,1,0,0,0,0,0,0,0,0
2,1,3,4,3,0,2,3,2,3,2,4,0,2,3,2,3,2,0,3,2,1,0,0,2,2,1,4,0,1,2,0,1,0,0,0,0,0,0,0,0
2,4,1,2,2,1,1,1,1,0,3,1,1,3,6,1,3,4,1,1,3,0,2,4,2,1,1,0,1,1,1,2,3,0,0,0,0,0,0,0,0
1,2,3,0,0,1,5,3,3,1,1,3,3,1,2,1,2,3,0,1,1,3,1,2,2,0,1,2,4,2,1,1,4,0,0,0,0,0,0,0,0
0,3,0,0,6,1,1,4,2,0,4,1,3,2,1,2,1,3,1,2,2,3,0,3,0,2,2,1,2,5,3,0,0,0,0,0,0,0,0,0,0
2,1,3,1,2,1,2,3,0,2,1,1,0,1,6,2,1,2,2,3,2,3,1,3,1,1,6,2,0,1,0,2,2,0,0,0,0,0,0,0,0
3,0,2,1,1,3,2,1,0,1,0,1,1,3,0,1,4,2,1,1,5,2,1,2,1,3,2,2,3,3,2,4,2,0,0,0,0,0,0,0,0
1,0,4,1,3,1,0,0,3,1,1,2,5,2,1,4,3,3,4,4,1,1,1,0,2,1,2,2,1,1,4,0,1,0,0,0,0,0,0,0,0
2,2,2,1,1,1,0,2,0,4,1,0,3,1,3,5,2,2,2,4,2,1,1,4,1,1,1,3,0,0,0,3,5,0,0,0,0,0,0,0,0
2,1,0,2,0,1,0,5,3,1,1,3,2,0,1,6,0,1,1,3,2,1,3,4,2,2,4,0,1,2,1,2,3,0,0,0,0,0,0,0,0
1,3,1,2,1,1,2,1,0,1,0,2,0,5,1,3,2,4,1,2,1,2,3,5,1,5,2,2,0,2,2,1,1,0,0,0,0,0,0,0,0
3,1,4,1,2,2,4,4,2,1,3,1,2,2,0,0,4,1,1,0,3,1,1,0,4,1,1,2,0,3,3,3,0,0,0,0,0,0,0,0,0
2,3,3,1,1,2,3,3,0,3,1,3,0,2,0,0,3,1,3,2,2,3,3,3,1,1,2,3,2,2,0,1,1,0,0,0,0,0,0,0,0
3,2,1,2,0,2,1,2,2,1,2,2,3,3,3,4,0,1,1,2,4,2,1,1,6,0,1,1,2,1,0,2,2,0,0,0,0,0,0,0,0
1,0,2,2,1,2,1,0,2,0,0,0,1,2,3,1,4,4,1,7,3,7,1,0,3,0,3,1,3,1,1,1,2,0,0,0,0,0,0,0,0
3,3,0,1,1,1,2,3,0,1,4,2,2,2,0,1,3,1,2,2,4,0,0,5,3,1,1,2,0,0,4,4,2,0,0,0,0,0,0,0,0
0,1,1,2,5,2,0,0,0,1,2,0,1,7,1,0,2,4,5,0,2,4,1,2,1,5,1,4,1,2,1,1,1,0,0,0,0,0,0,0,0
2,1,2,2,3,2,1,1,2,2,1,1,1,2,1,1,1,7,0,0,5,4,0,1,4,1,0,2,2,2,4,2,0,0,0,0,0,0,0,0,0
2,2,0,2,4,1,3,2,1,4,2,2,0,3,1,1,0,2,5,0,0,3,0,3,4,2,1,0,3,1,2,4,0,0,0,0,0,0,0,0,0
2,1,0,0,2,2,3,0,4,3,4,0,5,2,4,1,1,1,1,1,4,2,1,2,0,3,0,2,2,2,1,2,2,0,0,0,0,0,0,0,0
2,4,2,0,1,0,0,2,0,4,3,2,0,0,2,0,4,0,1,2,3,3,2,4,3,2,3,1,1,3,3,1,2,0,0,0,0,0,0,0,0
0,0,1,1,2,3,1,0,1,4,3,2,2,1,2,2,2,3,2,0,2,3,4,5,0,2,1,2,3,1,2,0,3,0,0,0,0,0,0,0,0
4,2,2,3,2,1,2,1,2,1,2,1,0,2,3,3,0,1,0,0,3,2,1,2,1,2,4,1,2,3,1,4,2,0,0,0,0,0,0,0,0
3,1,4,2,3,2,2,2,1,1,1,0,2,3,1,1,1,1,3,0,4,5,2,1,1,3,1,3,0,3,1,0,2,0,0,0,0,0,0,0,0
1,1,1,2,1,6,6,1,1,1,1,0,0,1,1,3,0,2,2,1,1,1,1,3,3,2,1,0,4,4,2,2,4,0,0,0,0,0,0,0,0
2,1,0,6,1,2,1,5,1,2,1,3,3,1,2,3,2,0,1,3,2,0,4,2,3,0,2,1,2,0,1,2,1,0,0,0,0,0,0,0,0
1,3,1,1,4,0,0,4,2,0,1,2,6,0,2,1,1,4,4,3,2,2,4,1,1,0,1,2,3,0,1,1,2,0,0,0,0,0,0,0,0
1,2,0,1,5,2,3,2,0,1,0,1,3,6,1,1,1,1,1,1,3,0,3,1,2,4,3,1,2,2,4,0,2,0,0,0,0,0,0,0,0
2,1,0,0,3,1,3,3,3,4,2,2,2,1,2,3,1,0,0,1,3,2,4,4,1,1,1,2,2,1,1,1,3,0,0,0,0,0,0,0,0
2,0,1,0,1,2,1,1,2,3,1,4,2,4,1,4,3,1,2,1,3,1,2,0,1,2,1,4,2,2,1,3,2,0,0,0,0,0,0,0,0
0,3,2,0,2,2,2,0,1,1,1,4,2,0,2,0,3,1,3,2,1,0,4,1,2,1,5,0,6,2,2,1,4,0,0,0,0,0,0,0,0
2,3,3,2,1,3,1,2,1,2,1,2,2,0,1,3,2,2,0,0,2,1,1,3,1,3,3,1,5,1,3,2,1,0,0,0,0,0,0,0,0
1,1,0,3,3,0,4,2,3,2,2,1,2,1,0,1,0,4,0,3,3,0,2,1,4,3,3,1,1,2,4,1,2,0,0,0,0,0,0,0,0
5,0,0,4,3,3,0,2,0,1,4,1,1,0,3,2,1,2,3,1,4,1,3,3,2,2,2,0,0,1,2,2,2,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0
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15,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
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20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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