0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,1,1,2,2,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,2,0,1
0,0,0,0,1,0,2,2,2,2,0,1,0,2,0,2,1,1,1,2,2,0,1,0,3,1,0,2,2,2,1,2,2,1,2,0,2,1,1,1,1,0,2,1,2,4,0,1,0,1,2,3,0,1,3,2,1,3,0,2
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0
0,2,0,1,1,0,0,2,2,2,0,1,1,1,0,1,1,1,0,1,1,0,1,0,2,0,0,1,0,0,1,1,2,1,2,0,0,0,1,0,1,0,1,1,0,3,1,0,1,1,2,1,0,1,2,1,2,3,1,1
0,2,0,0,1,0,2,0,2,2,1,1,1,2,1,2,1,3,0,2,3,2,1,1,3,1,0,3,2,1,2,3,4,1,3,1,1,1,3,1,1,1,2,1,2,5,1,2,0,1,1,2,1,1,4,2,2,5,1,3
1,2,0,0,0,0,2,2,0,1,1,0,0,2,2,1,2,3,1,0,1,1,2,1,0,0,1,1,0,2,1,1,5,0,0,2,1,0,2,0,3,1,0,1,2,2,0,2,1,0,2,0,1,2,2,2,1,1,1,0
1,2,0,0,0,1,2,2,1,0,0,1,0,3,2,0,2,5,1,1,2,2,2,1,1,1,1,2,0,2,2,3,4,1,1,2,1,0,3,0,2,1,0,1,2,4,1,1,1,0,2,1,1,2,3,3,1,4,1,1
0,0,0,0,0,1,0,1,1,0,0,1,0,2,1,0,1,3,0,1,1,1,0,1,1,0,0,1,1,1,2,1,2,0,1,1,1,0,1,0,1,1,0,1,1,2,0,1,1,1,0,0,0,0,1,2,0,2,0,1
0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,2,0,1,1,0,1,1,0,0,0,0,0,2,1,2,2,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0
0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1,0,1
0,2,0,0,1,0,1,2,2,3,2,1,1,0,1,1,1,1,1,1,2,1,2,0,2,1,1,3,1,1,2,2,4,0,3,1,1,1,2,1,2,1,2,1,2,5,1,1,0,1,2,2,0,1,3,2,1,4,0,2
0,0,0,0,0,0,0,1,2,2,1,1,1,1,0,1,0,1,0,1,1,1,1,0,2,1,0,2,0,0,1,1,1,1,2,0,0,0,1,0,0,0,2,1,0,3,1,1,1,0,1,2,0,0,2,1,0,2,0,2
0,2,1,0,0,0,1,2,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,2,1,0,1,0,1
0,1,0,1,1,0,1,1,2,2,1,1,1,1,0,1,0,1,0,1,1,1,1,0,3,1,1,2,1,0,2,1,1,1,2,0,0,0,1,0,0,0,1,1,1,4,1,0,0,1,1,1,0,1,3,1,1,3,1,2
2,1,1,1,1,0,1,3,3,5,3,2,1,1,1,1,1,0,1,2,2,1,2,1,4,1,0,4,1,1,4,3,4,2,4,0,1,1,3,1,2,0,3,3,2,6,1,2,2,1,3,4,2,1,6,3,1,5,1,4
0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0
0,2,1,0,0,0,1,2,0,1,1,1,0,1,1,0,1,2,0,0,1,0,1,2,0,0,1,1,0,1,1,2,3,0,1,0,2,1,1,0,1,0,1,2,1,3,0,1,1,0,1,1,1,0,1,1,1,1,0,1
1,2,0,0,0,0,1,3,1,2,1,1,1,2,1,1,1,2,1,1,0,1,2,1,1,0,1,2,0,1,2,2,4,0,1,1,1,1,3,0,1,0,1,2,1,3,1,1,1,1,1,2,1,1,3,1,2,3,1,2
1,0,1,0,0,1,0,2,1,2,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,2,2,1,1,0,0,1,1,0,1,0,1,0,2,3,0,1,1,0,1,1,0,1,1,1,0,2,0,2
1,1,0,0,0,0,1,1,2,2,0,1,0,2,1,0,1,2,0,1,2,1,0,1,2,0,1,1,0,1,1,2,3,1,2,1,1,0,2,0,1,0,1,0,1,3,0,1,2,0,2,1,0,1,3,2,0,3,0,2
0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,2,1,0,1,0,2,0,0,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,1
1,3,1,0,0,1,2,3,0,1,1,0,0,2,2,1,3,4,1,0,1,0,2,2,0,0,1,1,0,3,2,3,5,1,0,2,1,0,2,0,2,1,0,1,4,4,0,1,1,0,2,1,1,2,1,2,1,2,1,2
0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,1,0,1,1,0,0,1,2,0,0,0,0,1,0,0,1,0,1,0,1,0,0
0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,1,0,0,2,1,0,3,0,1
1,2,0,0,0,0,1,3,1,2,1,0,0,3,2,0,2,4,0,1,2,1,1,1,1,0,1,0,0,3,1,3,5,0,2,2,1,0,3,0,1,1,0,1,4,3,0,2,1,0,2,0,1,2,3,3,0,3,1,1
0,2,1,0,0,0,0,2,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
1,2,1,0,1,0,0,1,2,2,1,2,1,1,0,0,0,1,0,1,1,1,1,0,3,1,0,3,0,0,2,2,2,1,2,0,1,0,1,1,0,0,2,1,1,4,1,1,1,1,2,3,1,1,3,1,1,4,1,2
1,1,1,1,0,0,1,2,1,2,2,1,0,2,1,1,2,4,1,1,2,1,1,1,2,0,1,1,0,2,0,3,3,1,2,1,1,0,3,0,1,1,0,1,3,3,1,2,1,0,3,1,1,2,3,3,0,3,1,2
2,2,0,0,1,2,1,3,1,3,1,2,1,2,1,0,1,3,0,2,2,2,2,1,3,1,1,3,0,2,3,0,4,2,3,1,2,0,4,0,1,1,1,2,3,4,1,1,2,0,2,2,2,2,4,3,2,4,2,1
2,2,0,1,1,0,2,4,5,4,2,2,1,4,1,2,1,4,1,3,4,2,3,2,5,2,0,5,2,2,3,4,0,2,6,2,1,1,5,1,2,2,4,2,3,8,3,2,2,2,3,4,2,1,7,4,2,8,1,5
0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,1,2,0,0,0,1,1,0,1,0,1,0,0,1,1,2,2,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,1
1,2,0,0,0,0,2,3,0,1,1,1,0,3,2,1,2,4,1,1,1,1,2,1,0,0,1,2,0,2,2,3,6,0,0,1,1,0,3,1,2,1,0,1,2,3,0,1,1,1,2,2,1,2,2,2,1,2,1,1
0,0,0,0,0,0,0,1,2,2,1,1,1,1,0,0,0,0,0,0,1,0,1,0,2,1,0,2,0,0,1,1,2,1,1,0,0,0,1,0,1,0,1,1,0,3,0,0,0,1,2,1,0,1,2,1,0,2,0,2
0,2,0,1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,1,1,2,1,0,1,0,0,0,1,0,0,0,1,1,1,3,0,0,1,1,1,1,0,0,2,1,1,2,1,1
0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0
2,1,0,0,0,0,1,3,2,3,1,1,0,2,1,1,1,3,0,1,3,1,2,0,2,1,1,3,1,1,3,4,5,1,3,1,1,0,0,1,1,1,1,2,2,5,1,1,2,1,2,2,2,2,4,3,1,4,1,3
0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,1,0,0,0,1,1,3,2,1,1,0,2,0,0,0,2,0,1,1,1,1,0,2,1,0,1,0,0,1,1,2,1,2,1,0,0,1,0,0,0,1,1,1,3,1,0,0,1,1,2,0,0,3,1,0,2,0,2
0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,2,0,1,0,0,1,1,0,0,0,1,1,0,2,0,1,0,1,0,1,0,0,1,0,1,1,1,1
1,2,1,0,0,0,1,2,0,0,0,0,0,2,2,0,1,3,0,1,1,1,1,0,0,0,1,0,1,2,0,1,4,0,0,1,1,0,1,0,1,1,0,1,2,3,0,1,1,1,1,1,1,1,1,2,0,2,0,2
0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,0,1,3,0,2,2,0,0,0,1,0,0,1,0,1,1,2,2,1,1,1,1,0,2,0,1,1,1,0,1,2,1,1,0,0,0,1,0,1,2,2,0,3,0,0
0,2,0,0,1,1,0,2,2,2,1,1,1,2,0,1,1,2,0,1,1,2,1,0,4,1,0,4,1,1,3,3,3,1,2,0,1,1,2,0,1,0,2,1,0,4,1,1,2,1,1,2,0,2,3,1,2,4,0,3
1,4,2,1,1,0,3,5,2,4,2,1,1,5,3,0,4,6,0,3,3,3,3,2,4,2,2,3,0,4,3,4,8,1,3,3,3,0,5,0,3,2,3,2,4,0,2,3,1,2,4,2,3,3,5,4,1,6,1,3
1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,3,0,0,0,0,0,1,0,1,0,0,1,1,2,0,1,1,0,1,1,0,1,0,1,1,1,1,0
0,1,1,0,1,0,0,2,2,1,1,1,0,1,1,1,0,2,1,1,1,1,1,0,1,0,0,2,1,1,2,1,2,0,1,0,0,1,1,0,0,1,1,1,1,3,1,0,0,1,0,1,0,1,2,1,1,3,0,1
0,0,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,2,0,1,1,1,2,0,1,0,0,1,0,1,1,2,2,1,1,0,1,0,2,0,0,0,1,0,2,1,1,0,0,0,1,1,2,0,3,2,0,2,1,1
0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,1,1,0,1,0,1,1,1,0,1,2,0,1,0,0,1,0,0,0,0,2,0,1,0,0
0,2,0,0,0,1,2,1,2,2,0,1,1,2,1,1,1,3,1,1,1,1,2,1,2,1,1,2,1,2,3,2,3,1,2,2,1,0,2,0,1,0,1,0,1,4,1,0,1,1,0,2,1,1,3,2,1,3,0,1
1,3,0,0,1,0,1,2,0,1,0,0,0,2,2,0,1,4,0,1,2,1,1,1,1,0,1,0,0,3,1,2,4,0,2,1,1,0,2,0,2,1,1,1,2,2,1,1,1,0,2,0,1,2,2,3,0,1,0,1
1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,0,0,0,1,0,0,1,0,1,1,2,2,1,1,0,0,0,2,0,0,0,1,0,0,3,0,0,2,0,1,1,0,1,2,2,0,2,0,2
0,1,0,0,0,0,1,1,2,2,0,0,1,1,0,1,1,1,0,0,1,1,1,0,2,1,0,2,0,1,2,2,1,1,2,1,0,1,2,0,0,0,1,1,2,3,1,1,0,0,1,2,1,0,2,1,1,2,0,2
1,3,1,0,0,0,2,4,2,3,1,1,1,3,2,2,3,6,1,1,3,1,3,1,1,0,2,3,0,3,3,4,7,1,2,2,2,1,4,0,3,1,1,2,3,5,0,2,3,0,3,2,2,2,0,3,1,4,1,2
1,2,0,1,0,1,1,2,2,3,2,1,1,2,1,1,1,3,1,1,1,1,2,0,2,1,1,3,0,1,3,3,4,1,2,1,1,0,3,1,1,0,2,2,1,4,1,1,2,2,2,3,2,1,3,0,2,4,1,2
0,1,1,0,0,0,2,2,1,1,0,0,1,1,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,1,0,2,2,0,1,0,1,1,1,0,0,1,0,0,2,1,1,1,0,0,1,0,0,1,1,2,0,1,0,0
2,3,1,0,0,0,3,5,1,4,2,1,1,4,2,1,3,5,1,1,3,2,3,1,2,1,3,3,0,4,3,4,8,1,2,2,2,1,4,0,2,1,2,3,4,6,1,3,2,1,3,1,2,2,4,4,1,0,1,3
0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,2,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0
1,2,1,0,0,0,1,3,0,1,1,0,1,2,2,1,2,4,0,1,2,2,2,1,2,0,1,1,0,2,2,1,5,1,1,2,1,0,3,0,2,1,2,0,3,3,0,1,1,0,1,1,2,2,2,2,0,3,0,0