0,0,1,0,1,0,1,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,3,1,2,2,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,2,1,1,3,1,0,0,0,0,0,2,1
2,0,0,0,1,0,0,1,3,0,1,0,0,1,0,0,0,0,5,0,0,0,0,0,2,4,1,0,0,0,2,2,0,1,2,1,0,4,1,6,0,4,0,0,1,1,0,1,0,0,0,0,3,1,0,0,0,0,0,0,2,2,0,0,0,4,0,1,4,4,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,3,0,4,2,1,0,1,3
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
0,0,1,0,0,1,0,1,0,0,2,0,0,1,2,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,1,0,0,2,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,2,3,1
4,0,1,1,1,10,3,5,0,0,0,4,0,3,0,2,1,2,0,2,4,0,0,1,3,1,2,0,1,3,0,4,0,2,0,3,0,2,0,3,3,1,1,2,0,0,0,2,5,2,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,5,0,1,3,0,1,0,0,2,0,1,0
1,5,2,0,1,2,1,0,3,3,0,0,2,1,1,3,0,0,0,1,5,1,1,1,0,0,1,1,1,1,1,0,0,1,1,9,0,0,3,1,0,2,1,0,0,1,2,0,0,2,0,1,1,0,1,3,0,0,3,3,1,4,1,2,0,0,4,0,0,0,0,2,3,6,4,2,2,2,2,1,0,0,0,4,2,1,3,0,0,0,0,0,1,3,1,2,2,1,1,3
3,12,3,7,2,2,2,2,2,9,1,4,6,1,4,7,1,1,3,5,1,0,4,0,1,0,2,3,6,8,1,3,2,5,3,1,5,5,2,6,1,1,1,6,4,3,3,0,1,2,4,2,7,5,3,1,4,7,6,1,6,0,3,0,4,5,4,1,4,1,6,4,2,5,3,1,1,6,1,1,2,3,5,1,0,1,2,5,6,1,2,6,5,0,3,2,2,6,0,8
0,8,1,2,10,1,3,1,3,2,6,1,1,1,7,3,1,3,1,1,2,5,1,8,4,1,4,5,1,4,7,2,1,1,0,5,1,1,0,3,1,3,2,0,1,0,0,0,0,4,2,1,4,0,1,1,4,1,0,3,1,2,0,0,0,0,2,2,6,0,1,0,5,3,1,4,3,5,1,2,4,0,3,1,0,2,1,0,2,3,0,0,1,3,0,0,1,1,3,1
0,3,1,2,0,1,1,1,0,0,0,3,0,0,0,0,0,1,2,0,1,1,1,1,2,0,0,2,0,3,0,0,0,0,0,1,0,3,2,1,0,0,1,1,0,0,0,3,1,4,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,3,2,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,2,0,3,1,0,1,0
2,2,1,0,2,2,6,6,4,9,2,3,2,2,0,0,0,4,4,2,2,0,0,4,1,1,2,0,2,2,2,1,2,1,3,3,1,3,1,2,5,0,2,2,1,0,1,0,4,6,6,1,1,2,1,1,5,1,3,2,0,4,4,2,3,0,1,1,2,3,6,0,3,5,4,2,5,2,2,0,1,3,3,3,4,5,0,3,4,1,1,0,0,3,2,3,4,1,2,1
10,2,2,9,7,8,4,5,11,1,3,4,2,2,6,10,2,6,8,3,5,3,8,0,3,2,5,3,4,3,1,1,2,1,5,1,6,3,2,6,3,2,4,4,2,0,1,5,1,4,3,6,1,1,3,2,4,6,0,8,1,3,1,6,4,9,8,1,4,7,5,7,3,4,1,5,3,3,2,2,3,1,4,4,2,3,0,9,0,3,2,8,7,2,6,3,6,1,1,2
0,0,0,0,3,0,0,0,2,1,1,1,1,2,1,0,0,0,1,2,1,0,0,1,0,0,0,2,1,2,2,3,1,2,0,2,0,1,1,2,1,5,2,1,0,2,1,0,0,0,0,1,0,4,3,9,2,2,0,0,2,0,1,0,0,0,2,0,1,2,0,0,0,1,0,0,0,1,1,0,1,3,0,8,0,1,3,1,0,2,1,0,0,2,3,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,3,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
1,2,0,3,2,0,1,1,3,2,1,2,3,1,0,2,0,0,3,2,1,2,3,5,3,0,0,1,0,1,0,0,0,0,2,2,3,0,0,0,4,1,2,0,1,0,1,3,2,1,2,0,0,0,3,1,1,0,2,2,0,0,3,1,2,2,1,0,0,1,2,1,0,1,0,0,3,3,0,0,1,0,1,0,0,3,1,2,3,1,1,0,1,1,0,1,6,4,1,3
0,1,0,2,0,3,0,0,3,1,1,2,1,2,1,1,2,0,0,1,0,0,2,2,1,4,1,1,3,0,2,0,4,0,0,1,8,2,1,0,0,0,4,2,1,0,1,2,1,1,0,4,3,3,0,0,2,2,2,2,1,1,0,1,3,4,1,1,1,5,4,0,1,4,0,3,1,1,0,0,1,0,0,0,0,3,0,1,0,0,4,1,0,2,0,3,0,3,1,0
1,0,1,0,0,3,2,1,5,0,1,1,1,3,1,6,0,0,1,1,0,2,1,0,0,1,2,1,1,7,2,3,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,2,4,3,0,0,0,0,1,1,0,1,2,2,0,0,3,0,0,0,0,2,0,0,1,2,1,3,0,0,1,0,4,1,1,0,2,2,2,3,0,2
0,2,1,2,1,0,0,6,0,2,0,4,0,4,1,0,0,2,0,5,1,0,0,0,0,4,1,1,1,0,1,2,2,6,2,0,2,0,3,3,3,0,0,0,1,3,2,3,2,4,2,3,0,2,2,0,0,0,2,0,1,4,0,1,3,1,1,2,5,0,1,1,2,1,3,0,0,0,0,1,0,2,0,1,0,0,2,0,0,6,2,5,0,2,0,0,2,1,0,2
0,0,0,0,2,1,1,0,2,1,0,0,1,1,1,0,1,0,0,1,2,0,2,0,1,0,4,3,0,0,0,2,1,0,0,0,2,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,3,4,1,2,1,0,0,2,3,4,3,0,0,3,0,3,0,0,2,0,2,1,0,4,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,3,0,5,1,3,1,11,0,2,0,6,0,0,0,0,9,1,0,0,0,2,0,2,0,0,1,0,2,6,0,0,4,3,2,3,2,3,3,4,1,0,7,0,1,0,3,0,5,4,6,5,4,1,2,4,5,3,5,0,0,2,0,3,0,7,4,1,1,0,0,3,3,2,6,1,3,4,7,4,1,2,4,3,2,2,0,0,0,0,7,2,3,5,4,2
1,0,0,0,0,0,4,0,0,0,1,1,1,0,0,0,0,0,3,1,0,1,0,4,0,3,1,8,1,0,1,1,1,1,2,1,0,0,0,0,0,4,5,1,1,0,1,0,1,1,3,4,4,3,3,0,1,0,0,0,2,0,2,1,0,1,2,1,3,1,2,2,0,1,0,1,0,4,0,4,0,3,3,0,0,0,0,3,2,1,0,3,0,2,1,0,0,1,1,0
0,1,3,1,2,2,0,3,0,0,1,5,0,1,3,0,0,1,0,0,0,0,1,1,0,2,1,1,0,0,0,1,0,2,1,6,0,5,2,2,0,2,2,3,0,1,1,1,2,0,0,0,1,1,0,4,2,2,1,0,2,0,2,0,4,1,1,0,2,0,1,1,0,6,1,2,3,0,7,0,1,1,0,0,1,0,1,2,1,3,2,1,1,3,7,2,0,1,1,4
2,1,0,0,7,0,1,0,0,0,2,0,0,1,0,0,0,2,0,1,3,1,0,1,1,1,3,2,2,0,1,0,0,3,3,2,1,1,1,2,8,1,3,1,3,0,1,0,5,0,1,2,0,1,4,0,0,1,4,0,3,1,1,0,4,2,0,2,4,5,1,1,1,0,1,0,1,0,0,1,2,0,0,0,4,2,0,1,0,0,2,3,0,0,1,0,3,2,4,0
2,1,2,2,0,2,1,0,0,10,7,7,0,0,0,1,3,2,3,0,3,3,2,7,3,1,3,0,0,0,1,1,0,5,1,3,2,4,3,1,2,2,3,0,0,4,0,3,0,1,3,4,6,6,0,1,4,1,2,0,3,1,0,2,3,4,1,3,0,2,1,3,2,0,0,4,1,2,4,2,2,2,0,1,6,2,1,0,2,2,2,4,0,0,1,0,2,0,0,2
0,2,3,2,0,2,3,0,2,0,1,1,0,0,3,1,5,5,2,2,9,1,2,1,3,2,5,1,4,7,2,1,6,6,0,0,2,0,1,0,0,1,0,0,0,0,2,5,4,0,1,1,4,3,0,5,0,1,3,2,0,3,3,1,0,4,2,1,3,5,5,0,0,0,2,4,0,3,1,0,0,0,0,0,0,2,1,3,0,1,3,5,8,2,0,1,1,2,1,1
1,0,1,1,5,1,2,1,2,0,1,0,2,1,3,1,0,2,0,1,1,0,1,3,0,2,2,0,2,0,1,1,6,3,0,1,1,1,4,3,1,2,4,0,1,0,2,1,4,2,1,3,4,2,1,0,1,2,0,4,0,3,0,1,5,2,3,3,0,0,4,0,0,0,0,0,0,4,0,1,0,0,1,0,3,8,0,0,2,0,2,1,8,1,7,0,1,4,3,4
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,2,6,3,3,1,2,1,1,2,2,7,1,4,2,3,1,1,4,4,4,2,0,0,3,3,4,9,2,7,0,2,4,0,2,0,3,3,2,1,6,0,2,9,3,6,3,2,3,3,4,3,4,2,0,4,4,3,7,3,2,3,4,1,4,1,11,2,8,1,6,1,7,8,8,8,1,3,1,2,5,6,1,3,7,5,2,2,2,5,5,5,3,3,3,1,5,0,3,3
1,1,0,3,2,2,3,7,7,1,1,1,4,3,0,2,3,2,2,4,2,1,2,0,3,4,2,2,1,1,8,3,1,0,1,4,2,3,3,1,3,0,2,1,0,5,2,4,1,0,1,4,0,5,4,3,1,3,2,0,0,3,1,1,1,1,3,2,1,5,4,2,1,1,0,1,5,1,5,1,5,1,1,2,5,1,3,0,0,0,7,1,9,1,3,1,2,4,3,5
8,2,1,2,0,2,3,1,2,2,1,4,3,1,4,0,6,0,1,0,2,2,0,5,2,3,3,0,1,8,1,4,0,5,5,3,5,0,1,2,1,1,0,0,0,0,1,0,0,1,2,0,4,4,6,1,3,4,2,2,2,1,2,2,4,3,3,3,3,1,3,5,6,3,1,2,3,3,2,1,5,0,1,2,1,0,1,0,5,3,5,0,3,0,2,3,2,0,2,1
3,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0
3,1,3,1,1,1,2,2,0,2,1,5,4,2,2,0,2,1,1,1,5,2,2,1,0,0,2,2,5,5,6,0,3,2,0,1,2,2,0,0,3,1,1,2,6,0,3,0,1,1,1,2,2,1,1,3,0,1,0,0,3,1,2,2,1,0,0,1,0,2,6,3,0,1,1,2,0,0,3,0,2,0,1,0,2,0,4,0,1,3,1,2,8,3,0,1,3,2,2,3
0,2,1,3,0,0,3,1,0,1,3,0,1,0,4,2,1,0,2,3,5,9,2,0,1,0,2,2,3,2,1,0,1,3,2,3,1,1,1,3,3,4,1,0,0,1,1,1,1,3,1,2,2,2,1,0,0,1,2,0,0,1,4,2,0,0,0,0,1,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,2,2,3,1,2,0,0,0,0,1,0,0
0,0,0,1,0,0,0,0,0,2,0,1,3,2,3,1,0,0,1,2,0,2,2,1,0,4,0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,2,0,0,0,0,1,0,1,4,3,0,0,0,0,0,0,0,2,1,3,0,2,0,0,1,0,1,1,0,0,1,5,0,1,4,0,0,0,2,0,1,0,0,0,0,0,0,4,0,0,2,0,1,6,2,1,0,0
2,3,4,3,5,0,1,5,2,0,0,0,0,0,2,4,2,0,0,0,0,1,1,0,3,1,0,3,2,6,4,5,1,2,4,1,3,1,6,1,3,2,4,2,0,11,11,3,8,6,3,0,5,0,3,3,2,3,1,2,0,1,0,1,1,1,1,0,5,4,2,1,2,3,1,0,1,2,1,0,2,1,1,4,1,1,4,1,2,2,1,4,1,1,1,3,0,3,1,3
1,1,3,1,0,0,0,0,3,1,0,0,0,3,0,2,1,1,2,0,0,0,1,0,0,0,1,1,2,0,0,1,6,1,0,0,1,2,2,0,0,0,2,1,0,2,0,1,4,1,0,0,0,1,1,3,3,1,1,0,0,1,2,1,0,0,1,0,1,1,0,0,0,0,1,1,2,4,0,0,1,0,1,0,0,1,0,0,0,0,3,0,0,0,1,2,1,1,2,1
3,0,6,0,1,0,0,5,1,0,1,1,3,8,2,1,1,0,2,5,0,0,2,1,1,4,0,0,1,0,0,1,0,1,0,0,1,3,3,1,2,1,0,0,3,1,3,0,1,0,0,1,1,1,0,0,0,0,2,2,2,4,1,4,4,6,3,0,1,0,1,0,2,2,1,3,1,3,3,1,0,1,2,4,2,0,0,3,2,3,2,0,1,1,0,1,2,1,3,5
5,2,1,3,0,2,2,1,5,3,3,3,7,1,0,0,0,0,0,0,3,4,0,2,1,2,4,2,2,3,1,2,1,1,0,1,1,0,7,1,1,2,0,0,1,0,0,1,1,2,4,2,1,0,2,2,1,1,2,5,4,3,1,1,0,6,0,6,1,2,0,1,0,4,5,0,0,1,1,1,0,1,0,1,0,0,4,1,0,3,0,1,0,0,0,0,0,1,0,1
2,2,3,3,1,3,5,2,2,0,2,2,0,0,2,0,1,1,7,5,0,0,0,0,0,0,0,2,1,1,2,1,2,2,0,0,0,1,2,2,0,0,0,0,1,0,0,2,2,1,0,0,2,3,3,1,3,1,2,0,0,0,2,0,2,1,2,0,0,2,0,4,0,1,1,0,0,0,2,0,3,0,3,1,1,1,1,1,0,1,0,1,2,2,1,1,0,3,1,3
5,1,2,4,1,1,2,2,0,1,0,1,0,0,2,1,0,1,2,3,2,1,0,2,2,2,1,0,2,0,4,4,2,5,1,5,2,3,2,1,3,1,2,0,2,2,0,6,1,0,2,5,0,5,1,2,0,3,3,0,2,2,1,2,3,3,5,4,3,0,0,4,3,1,4,0,0,5,2,1,3,8,0,1,2,3,1,1,3,0,1,3,0,0,2,2,2,1,0,2
1,1,0,2,0,3,6,1,4,0,1,2,0,0,2,2,4,4,3,0,0,5,6,2,5,2,0,0,0,3,2,3,1,5,0,1,0,4,1,0,3,0,0,0,1,0,2,3,3,1,1,0,1,0,0,3,3,2,1,1,1,6,4,3,0,2,4,1,2,0,4,0,3,0,1,0,2,2,5,0,2,3,2,2,0,1,2,6,2,12,4,6,4,5,3,4,7,1,3,2
0,1,2,4,4,0,6,2,1,3,1,2,0,5,3,2,2,0,2,2,2,1,1,3,2,5,0,0,2,1,0,3,2,0,3,4,0,2,1,4,4,1,0,0,0,0,0,3,8,0,1,0,6,3,0,0,1,0,4,1,0,1,0,1,2,2,3,1,2,1,6,1,0,0,0,2,0,1,2,1,2,0,0,0,2,1,3,4,0,1,3,3,2,2,1,2,2,3,2,1
0,0,3,5,5,0,6,3,1,3,6,2,0,0,3,3,0,3,0,2,2,0,0,3,1,8,2,8,7,2,7,4,1,5,4,3,0,4,4,4,2,1,4,4,3,8,2,1,3,4,0,4,2,2,1,3,2,2,1,1,3,2,5,3,1,0,3,6,1,0,4,1,0,0,4,4,1,2,3,3,3,0,0,6,3,1,1,6,3,4,2,1,0,2,0,6,8,2,3,0
1,2,0,3,0,0,1,0,1,4,0,0,0,4,0,0,0,0,3,0,0,0,0,0,6,0,1,0,4,0,2,4,2,1,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,1,0,2,0,3,1,0,0,0,2,1,0,0,0,1,2,0,0,2,3,2,3,3,0,3,1,6,4,0,2,0,0,0,2,1,3,1,1,1,0,0,0,0,4,1,1,4,2,0
4,0,0,3,4,0,0,0,5,0,2,0,0,0,0,0,0,0,0,6,1,0,3,0,0,0,0,0,2,2,0,3,2,3,1,4,0,1,0,1,1,0,0,1,5,6,0,1,3,1,1,1,0,0,0,0,0,2,4,0,2,0,0,0,0,0,1,0,0,5,2,0,0,4,1,0,0,3,0,0,3,1,6,1,3,0,1,0,0,2,2,1,1,0,0,2,0,2,0,0
0,0,0,1,2,0,0,0,0,2,2,0,4,0,1,1,0,0,6,4,0,1,0,0,1,0,0,1,0,0,0,3,1,0,0,2,1,1,4,1,1,1,0,1,5,0,4,2,0,1,0,3,1,4,3,1,0,1,0,2,0,0,2,0,0,1,0,0,0,1,1,0,1,1,0,0,3,0,1,2,2,2,0,0,4,1,1,0,2,0,0,2,3,0,4,2,2,0,4,1
0,0,2,2,1,0,0,0,0,0,2,0,0,0,4,0,1,0,0,0,3,1,2,0,2,3,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,2,0,0,0,0,1,0,0,2,1,0,3,0,1,0,0,0,0,1,0,2,3,0,3,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,3,1,0,1,0,1,0,0,1,0,0,0
0,3,1,2,2,0,1,0,5,0,0,1,2,0,2,3,0,1,3,0,4,1,0,0,8,2,0,0,0,0,1,0,0,1,0,1,4,2,0,1,1,1,2,1,2,1,3,0,1,2,1,2,0,2,0,1,0,4,4,2,2,1,0,0,2,3,1,1,2,0,0,2,3,0,0,3,0,4,1,4,0,2,0,0,1,1,5,4,4,2,2,0,1,1,2,0,5,2,2,1
0,0,2,1,1,1,3,4,0,1,1,0,0,0,1,1,1,1,1,4,4,2,0,2,0,2,1,2,0,0,1,0,0,1,1,0,2,1,0,2,0,0,1,0,3,0,0,0,2,0,0,2,3,0,1,2,0,3,0,1,0,0,1,0,0,0,1,0,1,3,0,0,1,1,0,1,1,0,0,0,0,0,1,0,2,0,0,1,0,2,0,0,0,0,0,0,1,0,3,1
0,1,0,2,9,0,5,2,1,1,0,2,1,0,0,0,0,3,4,1,0,1,2,1,0,2,0,1,2,5,5,1,0,3,0,3,2,1,1,3,0,0,4,4,0,2,0,1,3,0,0,2,0,0,2,3,0,3,0,0,0,1,1,1,2,1,0,1,3,2,2,1,0,0,0,3,0,1,0,1,0,0,4,2,4,0,0,0,1,2,0,2,0,2,0,0,2,0,1,2
0,1,2,1,3,4,3,1,0,1,1,0,0,0,1,1,0,3,3,1,0,1,1,1,0,0,3,1,2,2,1,4,2,0,0,3,1,1,0,1,1,1,0,0,1,0,4,1,0,2,4,3,3,1,1,3,1,1,0,3,0,1,3,1,1,1,1,1,3,2,3,5,2,2,5,8,5,2,0,1,3,0,7,2,1,0,1,1,0,3,1,0,3,0,4,0,1,0,0,0
5,2,5,4,0,2,0,0,0,1,0,0,3,4,3,3,4,1,4,4,1,6,1,7,0,4,1,3,2,5,2,0,3,1,2,1,1,1,1,2,1,1,4,1,0,2,2,6,0,0,1,1,4,0,2,2,2,0,3,0,5,0,0,0,1,2,2,3,4,1,3,0,4,6,3,1,3,1,1,4,7,2,1,3,1,2,3,1,0,1,1,2,1,5,7,0,2,2,1,5
0,1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,2,0,1,2,0,0,0,1,0,0,0,1,2,0,1,2,1,1,1,0,0,0,0,3,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1
1,4,3,7,0,1,0,2,3,11,2,0,3,8,7,3,0,4,17,8,5,1,1,8,6,1,4,2,2,8,6,5,7,4,1,9,6,6,6,3,5,1,2,1,6,0,1,1,13,0,2,9,6,2,3,8,12,1,5,3,1,2,1,0,1,14,5,4,4,8,9,7,7,3,4,4,8,10,2,3,5,1,2,6,3,6,13,6,5,6,3,5,3,5,1,5,5,1,6,3
1,2,0,3,3,4,2,0,0,0,0,0,0,1,4,0,0,1,0,1,0,0,1,4,0,1,2,0,0,0,0,0,0,0,0,1,3,2,2,1,5,0,0,2,0,3,4,0,1,1,0,2,3,1,0,1,0,0,0,3,0,0,1,2,1,0,1,0,1,1,0,1,0,0,2,3,1,1,1,1,0,0,0,0,1,0,0,0,1,2,0,0,2,0,2,1,2,0,1,1
0,0,3,0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,1,0,1,0,0,1,0,2,0,1,4,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0
0,2,0,1,0,3,3,3,2,6,4,2,3,0,8,2,4,9,5,12,8,1,2,11,1,9,1,0,5,6,7,1,1,1,2,6,7,6,3,0,2,5,2,4,1,0,0,1,2,2,2,1,1,7,6,4,4,5,4,14,1,10,3,1,9,4,1,2,7,8,0,5,3,3,4,1,6,4,1,1,2,2,5,4,5,0,3,2,2,1,3,1,3,2,0,5,4,4,7,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0
1,5,1,5,0,0,2,0,0,0,1,3,2,0,0,0,0,1,1,0,1,3,0,1,0,0,0,1,7,5,5,1,0,0,0,2,1,0,0,1,1,0,3,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,1,2,0,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,2,1,1,6,1,1,5,0,0,7,0,0,0,1,3,2,3,1
3,2,3,9,0,1,5,3,3,1,8,11,8,5,4,1,4,4,3,6,0,1,4,2,8,5,4,1,9,5,7,0,1,1,2,9,5,13,15,2,3,6,13,11,9,2,12,4,3,4,5,8,1,3,5,2,3,4,2,4,5,7,4,12,3,4,0,3,7,9,6,2,4,2,9,4,0,2,7,2,1,4,1,0,0,1,3,2,0,5,4,4,3,1,5,7,1,4,4,6
3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,3,1,3,1,0,0,1,1,0,0,0,0,3,1,5,1,0,2,0,2,0,1,3,2,0,0,0,0,0,1,3,6,1,0,3,2,2,1,2,2,0,0,0,0,0,2,1,2,3,2
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,6,9,0,3,2,2,1,3,2,1,2,1,2,1,0,0,0,0,0,1,1,1,0,2,4,2,5,7,4,3,2,2,1,0,1,4,2,2,0,0,2,3,2,0,0,2,1,1,0,0,0,0,2,3,2,2,0,2,4,2,1,3,3,2,2,1,1,6,1,0,0,2,4,5,4,1,4,1,3,3,0,0,2,2,6,4,3,0,2,1,6,3,2,2,4,0,2,2,1
1,0,2,3,7,0,3,0,3,1,2,3,1,4,0,2,1,2,0,1,0,0,0,1,1,0,5,2,3,0,2,3,2,0,1,2,1,0,1,2,1,2,0,1,3,0,2,0,1,0,0,1,3,5,1,0,3,2,3,2,2,0,2,1,1,2,2,0,0,1,0,1,0,2,9,2,0,1,0,3,2,0,2,5,3,4,5,3,4,2,7,1,2,2,0,0,2,8,0,2
1,0,0,2,0,3,0,0,2,0,1,1,0,1,0,4,0,0,3,1,0,0,0,3,0,0,0,1,1,0,1,2,1,2,3,0,0,1,3,2,3,0,0,1,1,2,0,1,2,3,0,0,1,2,0,0,0,3,1,0,7,3,2,0,1,1,2,5,0,3,0,0,0,4,4,0,0,5,1,2,0,0,2,1,2,2,2,4,3,3,11,0,1,4,1,4,0,3,3,3
0,4,1,4,0,2,0,8,1,3,4,0,0,0,1,5,0,0,0,1,0,0,2,0,0,1,0,0,1,4,3,0,0,0,3,0,0,2,0,0,1,3,2,0,4,1,0,0,1,0,2,0,2,5,1,1,0,1,0,0,0,3,7,2,3,0,2,2,0,0,0,3,0,0,0,0,0,0,1,1,2,0,1,1,0,4,3,2,0,3,0,2,0,1,0,0,0,0,3,0
2,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,4,0,0,1,0,1,2,0,0,0,0,0,0,1,1,2,2,1,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,2
0,1,5,4,7,8,5,3,5,5,4,1,0,5,5,0,8,6,2,6,6,2,8,3,2,2,2,2,6,5,5,4,3,5,1,0,2,1,2,8,6,0,3,4,7,3,6,0,0,3,2,3,0,5,2,1,1,2,10,3,4,4,3,3,6,1,2,6,4,5,2,3,0,3,4,6,2,0,6,3,1,9,1,1,4,1,2,6,3,2,1,2,1,3,1,4,7,5,6,4
0,2,1,0,1,0,0,0,1,4,8,3,3,1,2,2,0,3,4,0,0,1,0,2,1,2,3,1,0,6,4,1,3,0,2,0,0,2,5,0,1,0,1,2,3,1,1,0,0,0,2,5,2,1,4,0,0,6,1,2,8,2,0,0,2,0,1,0,1,2,0,0,2,1,1,0,2,3,3,4,2,2,3,0,1,2,0,0,0,1,2,0,1,2,2,0,1,4,1,1
2,0,0,7,1,0,1,0,0,0,1,0,1,0,0,2,1,0,0,1,0,1,0,0,0,1,1,0,0,3,1,0,3,0,0,0,1,1,10,2,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,2,0,0,2,2,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0
0,0,3,0,0,1,0,0,1,0,6,0,0,0,0,0,1,1,1,0,2,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,2,1,3,1,0,1,0,0,0,0,1,1,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0
2,0,0,1,2,0,2,4,2,4,5,2,1,0,3,1,1,7,2,2,1,2,4,4,3,3,2,5,1,3,1,2,0,4,0,0,0,2,1,0,0,7,0,2,3,2,7,4,3,2,1,1,2,3,0,0,0,0,1,0,2,2,3,2,0,0,1,0,0,1,0,0,1,1,3,3,1,1,2,6,1,0,2,2,0,0,0,0,3,0,8,4,4,3,0,1,1,1,3,0
6,4,3,3,5,2,2,2,4,3,2,1,4,2,3,2,0,1,5,4,1,3,2,1,3,2,1,2,2,2,4,3,3,4,1,6,4,9,6,2,0,10,3,1,3,1,0,3,1,2,5,1,7,6,1,2,1,3,1,3,2,0,5,7,6,0,2,1,2,4,1,1,2,5,4,3,1,3,2,0,3,7,3,3,0,1,1,2,2,0,3,0,1,4,0,2,0,3,1,6
3,0,1,1,2,1,2,0,0,3,0,0,0,0,2,0,1,3,0,2,0,0,0,0,1,4,2,0,2,2,1,2,0,0,1,1,0,0,0,3,0,2,1,1,0,1,0,4,1,0,4,1,1,0,3,1,0,0,4,1,1,1,1,2,1,0,1,0,0,2,3,0,2,0,1,2,0,0,3,2,1,3,5,1,1,0,1,1,0,0,3,0,1,0,1,0,3,1,0,3
2,3,11,8,5,2,3,5,4,4,3,4,2,3,1,4,5,4,4,1,7,2,7,11,4,3,4,4,3,10,7,7,4,1,8,6,5,0,2,3,1,5,4,0,2,3,4,6,6,5,6,4,7,3,6,7,4,7,5,5,1,7,2,6,4,10,7,1,1,0,5,4,3,1,3,1,3,4,1,9,5,8,6,3,3,6,6,3,7,8,2,7,4,6,9,3,1,9,5,2
0,0,0,0,1,3,1,2,0,1,0,1,0,0,0,0,1,0,2,0,0,1,3,1,1,0,2,1,2,1,0,3,0,2,4,5,0,0,0,0,0,0,0,3,0,0,2,3,2,2,4,3,0,0,2,1,0,2,1,0,0,0,0,1,1,0,1,0,1,0,4,0,3,3,0,0,1,1,1,2,1,1,3,0,3,0,0,2,0,2,1,1,0,1,0,0,1,2,1,0
1,0,1,1,0,0,2,4,0,2,0,0,1,3,0,0,0,2,0,2,1,2,1,2,0,1,0,1,5,0,0,6,1,1,7,1,4,0,12,0,2,1,0,2,1,2,0,1,4,3,0,1,0,3,0,0,1,1,3,0,1,0,1,0,1,1,1,0,1,2,4,2,1,1,2,0,3,0,1,0,2,3,1,0,1,3,2,0,0,2,2,0,0,1,2,0,2,0,1,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,2,0,1,2,2,0,0,0,5,2,0,0,2,3,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,1,0
6,0,2,0,0,1,2,0,2,6,4,3,2,1,3,1,2,0,0,8,3,1,2,0,2,2,0,4,2,0,0,0,1,1,3,0,1,1,1,1,0,3,4,3,3,2,8,11,5,6,3,3,2,2,0,4,2,7,3,4,1,1,2,2,0,4,0,4,0,1,0,0,4,1,1,3,5,0,3,4,2,5,5,0,3,1,2,0,4,4,6,5,3,0,5,3,3,2,1,4
0,4,0,0,0,2,0,0,0,0,3,0,2,0,5,0,0,3,5,0,2,1,0,0,1,1,0,2,8,0,2,3,13,1,0,1,2,2,4,1,2,10,1,1,6,0,1,9,0,8,0,0,0,4,8,0,2,0,0,0,0,0,5,1,1,3,2,6,2,0,1,1,9,0,4,1,0,0,5,4,0,4,1,0,0,1,0,0,5,0,2,4,1,2,0,0,1,2,0,6
2,2,0,1,2,0,2,0,1,0,0,1,0,0,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,1,3,0,2,0,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,2,1,2,0,0,2,0,1,1,2
0,2,0,3,4,2,1,1,2,0,1,0,1,1,1,3,0,0,3,0,1,1,0,2,0,0,1,0,0,0,2,0,1,2,2,3,3,0,0,2,1,0,0,3,0,1,1,0,1,1,2,2,3,6,1,1,0,0,0,1,0,4,0,0,0,1,0,1,0,0,0,2,0,0,0,1,2,1,1,0,0,1,0,1,0,1,5,1,3,1,1,0,0,0,1,0,0,0,0,1
0,1,0,0,0,1,5,2,1,2,3,4,1,4,2,3,3,1,3,7,6,6,3,1,1,1,0,3,4,2,1,3,2,3,0,3,2,1,4,4,0,2,3,1,1,2,2,0,0,2,1,0,0,0,2,0,0,1,2,0,2,3,1,2,2,0,3,2,0,4,5,0,0,1,0,2,3,0,1,0,0,1,3,4,2,1,1,1,0,1,1,2,1,3,4,7,1,1,2,0
4,2,3,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,2,0,0,0,0,1,0,1,0,3,0,0,0,0,0,1,0,2,3,0,1,2,4,0,2,2,0,0,0,0,0,2,3,2,0,8,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,4,5,1,0,0,1,0,2
5,3,1,0,0,2,2,1,0,6,0,4,0,0,1,0,1,0,4,3,2,1,1,1,1,2,0,3,2,0,0,1,1,1,5,1,0,1,1,1,6,4,2,1,0,3,0,1,2,2,0,1,6,5,1,1,9,0,0,0,4,1,0,0,3,1,6,0,2,2,0,0,0,2,0,0,0,6,2,5,3,2,0,4,7,6,5,1,1,0,3,3,2,2,0,0,2,2,0,2
5,0,3,1,1,0,2,0,1,3,1,0,0,1,2,2,2,2,3,2,0,0,4,1,3,0,0,4,4,1,0,4,1,0,1,1,1,4,2,0,0,0,1,2,1,0,0,2,2,3,1,1,0,1,0,2,3,4,3,0,0,2,4,0,0,4,2,2,1,2,1,1,0,2,1,5,0,0,4,5,2,0,6,0,0,3,3,3,1,0,0,0,2,2,4,3,4,1,3,0
5,1,3,0,2,1,0,0,2,4,0,2,3,2,3,0,3,3,3,0,1,2,1,0,1,0,0,0,0,0,2,4,2,1,0,0,4,0,0,1,0,5,1,2,2,9,4,0,3,5,4,4,7,5,1,3,2,0,1,1,3,2,0,3,3,3,7,2,2,3,0,1,3,1,1,0,0,1,9,0,4,2,2,6,8,3,1,4,0,1,0,2,3,1,1,3,4,0,4,1
2,2,1,1,8,5,4,5,1,2,1,5,2,1,2,0,4,2,0,1,1,6,0,4,0,2,5,3,2,4,7,7,0,2,1,2,2,1,6,2,2,4,3,4,1,0,0,7,1,3,1,2,6,3,4,2,1,2,0,0,4,2,11,3,4,1,9,2,1,2,3,4,1,11,3,0,4,2,1,1,4,0,2,2,1,0,4,4,7,4,0,2,6,3,0,4,2,1,2,1
3,1,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,3,0,1,4,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,4,0,0,0,0,0,1,0,3,1,0,1,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,1
2,3,4,3,2,0,6,9,4,6,6,3,2,4,11,5,2,0,3,0,3,1,3,1,3,3,5,4,2,3,9,4,6,10,5,11,8,5,2,2,1,5,9,4,3,5,7,4,1,7,3,2,2,3,1,6,1,1,1,3,7,1,1,4,5,2,7,2,15,3,5,4,1,5,6,3,5,4,3,7,3,2,0,5,4,2,4,0,2,3,7,5,13,1,2,2,4,6,4,6
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,2,0,0,0,1,0,0,1,2,0,4,1,6,2,2,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,3,2,2,0,0,2,0,4,2,2,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,2,1,0,2,0,0
1,0,2,0,0,0,3,4,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,0,3,0,0,0,0,0,0,0,0,1,0,1,1,2,0,2,5,0,1,0,1,2,0,1,7,0,0,1,5,2,0,0,1,0,1,5,1,0,2,0,1,2,5,0,0,0,0,2,0,2,1,0,1,3,1,1,2,1,1,0,1,1,2,0,0,0,1,2,0,3,0,0,2
0,1,2,1,0,0,0,0,0,2,0,2,0,2,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,3,0,0,1,2,0,1,0,0,1,0,3,2,6,0,1,1,1,0,1,0,0,0,3,0,0,0,1,0,4,1,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,3,1,0,0,0,2,0,1,1,2,0,0,2,0,0,0,0
2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,2,0,1,0,1,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0
0,0,1,0,4,2,0,0,4,4,1,7,2,4,4,1,0,1,0,3,1,1,2,2,0,5,2,1,3,0,3,1,1,2,1,1,2,0,2,4,2,1,1,0,0,0,1,2,6,1,2,2,0,2,1,2,1,1,6,1,3,0,1,0,0,0,0,1,0,0,1,2,0,5,1,0,0,2,2,1,1,3,7,1,0,0,3,0,0,0,0,0,1,3,1,3,0,0,7,3
0,0,0,0,1,1,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,4,0,0,3,1,3,1,0,0,0,2,2,0,0,1,0,3,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,3,0,8,1,2,1,0,0,1,1,1,1,3,1,2,0,0,1,1,2,1,0,1,0,0,0,0,0,3,0,1,0,1,3,1,0,3,0,0,1,2,0,0,2,0,0,0,0,0,0,0,1,2,1,1,1,2,0,2,0,0,0,1,1,1,1,2
4,0,1,0,0,0,1,1,3,0,3,1,2,1,4,1,1,4,1,1,1,0,3,2,1,3,0,1,1,0,0,4,1,0,0,6,0,0,0,1,1,4,1,2,0,5,0,2,0,0,0,3,1,1,0,1,0,0,0,0,0,0,2,3,5,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,2,1,0,2,1,0,0,1,0,1,1,4,2,1
0,0,0,1,0,0,1,3,0,0,0,0,0,0,1,3,1,1,0,1,1,0,3,2,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,2,1,0,0,0,0,3,0,1,0,1,0,5,0,0,0,1,2,0,0,1,3,0,0,0,2,0,0,0,2,4,1,0,1,0,0,1,1,0,0,1,2,2,0,0,0,0,0,1,0,0,0,0,2,3,0,0,0,0
0,0,0,1,3,0,0,2,3,0,5,0,1,1,0,1,1,2,0,5,0,0,0,0,4,0,0,0,3,0,2,1,4,4,0,1,4,0,0,2,1,2,2,0,0,0,0,0,3,0,8,4,1,0,2,0,0,0,3,0,3,0,3,0,5,2,2,0,0,2,2,2,0,0,1,0,0,1,3,4,0,2,0,1,2,3,5,0,0,0,5,0,1,1,2,2,0,1,0,0
1,2,2,1,0,0,0,0,0,0,0,0,0,2,1,6,3,0,0,2,0,0,5,2,3,5,3,3,0,3,2,5,4,0,1,1,0,0,0,4,0,0,0,0,0,1,3,0,0,0,1,1,2,1,2,0,2,1,0,1,3,0,0,2,1,2,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,4,2,3,2,0,0,0,0,0
7,3,1,3,0,2,1,2,4,6,1,1,2,3,0,1,1,1,0,0,4,1,3,2,1,0,2,3,0,3,4,2,1,0,0,2,1,1,0,0,1,5,0,3,0,3,1,3,0,0,2,7,3,3,3,1,0,5,2,0,3,2,0,0,1,2,1,1,2,1,1,3,0,3,1,0,0,5,1,0,0,7,0,0,0,1,0,3,4,0,1,5,0,1,4,1,1,3,3,1
3,0,3,4,2,5,1,4,3,2,2,3,0,1,1,2,2,1,6,0,2,2,1,1,6,0,2,0,2,2,0,2,3,4,0,1,3,3,2,3,1,2,1,0,8,0,0,5,2,1,1,1,2,5,1,2,0,3,4,3,3,7,4,5,1,0,3,3,6,2,3,3,1,0,3,2,2,2,3,3,5,5,0,0,4,4,3,6,1,5,2,1,3,3,10,4,4,2,4,2
1,6,5,2,2,2,1,3,3,5,3,0,0,6,2,1,0,2,2,3,6,2,0,8,4,2,7,2,1,2,0,2,2,6,0,4,3,6,3,1,6,3,3,1,2,4,6,1,2,2,0,3,1,4,4,0,2,5,5,1,4,1,0,1,1,4,5,5,0,9,2,3,5,14,2,3,3,2,4,1,2,2,0,2,7,2,0,0,1,5,8,0,0,3,2,2,5,7,1,1
1,2,0,0,0,0,0,0,2,2,3,0,0,0,0,0,0,1,4,4,1,0,0,4,1,0,1,5,0,0,0,1,0,0,0,0,2,0,0,0,2,0,1,2,1,0,1,2,1,0,2,0,0,0,1,0,0,0,8,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,3,1,0,0,0,0,0,3,1,0,0,0,0,1,4,3
2,0,0,0,0,3,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,2,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,6,0,0,0,0,0,0,0,0,0,0,1,0,2
3,0,1,2,1,6,2,7,0,0,0,0,1,0,0,2,2,0,1,1,3,0,1,0,2,6,0,0,0,0,0,1,3,3,0,2,2,0,1,0,1,0,1,2,0,3,0,2,4,1,5,4,0,3,4,4,3,2,2,1,4,0,2,1,0,0,1,1,2,0,3,1,0,4,1,1,2,1,1,1,3,0,1,3,0,2,4,1,0,2,2,1,3,0,0,1,0,5,1,2
2,1,3,1,1,2,0,1,2,0,4,4,6,6,4,0,0,0,1,0,2,1,2,2,1,0,2,0,5,3,0,1,5,1,3,0,1,0,5,1,1,1,1,0,1,3,1,2,4,5,4,4,0,2,2,1,0,0,4,2,5,6,0,0,2,0,3,2,1,3,1,2,1,1,0,0,1,1,0,3,2,2,1,1,10,2,3,4,4,1,2,8,4,1,2,2,2,3,0,0
0,1,0,2,2,2,2,0,3,0,2,0,0,1,1,0,2,0,0,0,1,0,0,2,1,1,4,1,0,0,0,1,1,3,2,0,1,0,0,0,0,0,0,0,2,0,3,1,1,2,0,2,0,1,1,2,0,1,0,0,3,2,0,2,4,1,0,0,0,0,4,0,0,4,3,1,5,1,3,5,1,0,0,1,1,1,0,0,1,0,0,1,0,3,3,1,2,4,6,3
0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,1,1,2,0,0,3
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,5,0,1,0,0,3,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,2,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
4,0,1,1,2,2,0,3,2,0,4,3,1,0,0,2,0,2,0,3,3,1,0,1,0,0,1,0,1,3,2,1,0,6,0,2,0,0,1,0,1,4,6,3,1,2,2,1,1,1,0,5,3,3,3,3,2,0,1,1,0,1,3,0,0,2,0,0,1,0,1,2,4,2,0,1,4,0,1,2,5,0,0,0,1,1,0,0,1,0,0,1,1,1,1,4,3,1,0,0
3,0,0,1,0,0,0,0,3,2,0,0,1,0,0,1,2,2,2,3,1,1,0,3,4,0,1,0,1,1,1,0,0,2,0,2,1,1,1,0,3,1,1,0,0,2,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,4,0,0,0,1,0,0,0,0,2,1,0,0,0,2,3,0,4,3,2,1,0,1,1,0,1,1,0,6,0,0,1,2,0,1,1,2,0,3
0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0,3,1,3,0,1,2,0,0,0,0,0,1,3,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0
2,0,1,2,2,2,1,7,2,2,1,0,5,4,3,2,2,2,3,2,0,0,2,5,2,2,2,0,0,1,3,3,4,0,0,0,4,4,2,2,0,1,4,4,2,5,1,3,10,2,0,0,3,0,1,2,5,5,0,1,0,2,0,1,2,1,1,0,1,1,1,0,1,0,0,2,4,6,6,2,2,2,0,2,5,1,2,1,1,4,0,5,4,9,3,3,0,1,0,7
2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,1,1,0,0,1,3,1,3,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,3,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,1,0,4,1,0,0,0,0,0,3,1,2,0,3,0,0,0,0,0,1,0,0,1,0,0,1,3,0,0,0,0,0,6,1,3,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,2,1,2,0,2,0,1,0,0,1,1,0,1,4,1,0,4,0,1,0,0,0,1,0,0,0,0,2,2,0,2,1,3,0,1,0,1,0,4,1,0,3,2,0,0,2
1,0,0,1,1,0,0,1,0,0,0,3,0,2,2,2,0,1,0,2,3,4,0,3,6,3,0,2,3,2,1,1,6,1,0,6,1,2,2,2,2,0,2,2,1,4,0,2,1,1,1,2,0,2,2,0,1,3,0,2,0,1,1,3,0,2,1,4,5,3,1,0,1,4,0,1,6,0,2,1,0,0,2,0,1,0,5,0,4,3,3,0,0,0,1,3,0,4,3,1
0,0,0,2,2,2,1,1,2,0,0,4,0,0,0,3,1,1,0,1,0,0,0,0,2,0,1,0,5,0,1,0,0,1,2,2,0,2,0,0,0,0,4,2,0,2,2,1,2,0,0,1,3,2,1,1,0,3,4,0,3,0,0,3,0,3,2,3,1,0,1,0,3,2,2,2,3,0,0,0,1,1,3,0,0,2,0,0,2,0,1,2,0,0,1,0,5,4,2,0
0,2,2,2,3,2,2,1,3,1,0,1,1,2,8,1,0,1,1,0,4,3,5,1,0,4,1,3,0,2,0,0,5,1,0,2,1,2,0,0,3,4,2,6,4,0,3,3,5,0,0,0,0,3,1,0,1,2,2,4,2,2,5,2,3,2,4,1,4,1,3,3,3,3,2,1,1,2,4,1,6,0,1,2,1,1,0,2,0,3,1,2,1,4,8,2,3,1,1,5
1,3,0,2,2,2,1,0,0,0,2,6,0,4,2,1,1,1,0,9,3,4,6,1,2,6,2,1,1,1,2,2,2,3,1,1,6,4,1,0,3,0,0,1,2,1,4,0,3,1,2,7,3,0,8,5,2,6,4,4,4,0,0,2,1,6,2,1,3,3,2,2,3,1,6,6,4,3,1,6,3,1,0,3,0,0,2,4,3,2,4,0,2,3,0,3,1,1,1,0
0,0,1,1,7,5,3,1,0,0,2,0,1,0,0,1,3,2,4,1,0,0,2,6,1,0,0,1,3,6,0,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,3,0,0,1,6,2,0,5,2,9,5,0,5,0,0,3,1,3,4,0,1,0,0,0,5,3,1,0,0,0,0,3,0,0,0,0,4,0,0,0,1,9,1,0,0,1,2,1
2,0,2,1,2,2,1,2,0,0,0,1,0,1,0,2,3,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,1,3,2,1,6,3,0,1,0,0,2,0,0,4,0,0,0,5,3,0,0,0,0,0,6,2,1,0,2,1,0,1,4,1,0,2,0,1,2,3,4,0,1,4,0,3,2,2,1,2,2,0,1,2,0,0,0,2,1,0,0,1,0,1,4,0
0,0,4,0,0,0,2,0,1,5,1,1,0,1,2,4,2,3,1,2,0,3,0,1,0,0,0,0,6,4,0,0,3,0,2,0,0,0,4,2,1,0,0,3,4,2,0,5,3,0,5,0,0,2,8,4,3,1,1,1,3,0,0,3,2,0,2,1,3,3,5,5,1,3,3,4,3,2,0,4,1,3,3,0,1,4,2,4,0,0,2,0,3,0,3,0,0,1,1,2
0,0,3,2,2,0,3,2,3,0,3,0,1,1,4,2,0,1,0,0,5,2,1,0,2,2,2,2,3,0,6,4,0,0,1,0,1,1,1,0,6,1,0,1,0,4,1,2,3,0,3,0,1,3,1,0,0,0,2,0,1,4,0,1,3,1,1,0,1,1,2,4,2,6,0,0,1,3,1,0,0,1,1,0,3,3,2,3,5,2,3,0,0,2,3,0,1,2,3,0
0,3,0,1,2,1,1,5,4,4,1,2,0,0,0,2,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,4,0,1,0,2,2,2,3,0,0,0,0,0,1,2,0,1,1,0,1,0,0,0,0,0,2,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,6,1,2,2,3,1,1,0,0,0,0,1,0,0,1,0,1,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,2,3,1,0,3,1,1,3,2,0,0,4,9,3,2,3,6,3,5,0,8,3,1,3,7,2,10,2,5,5,4,2,3,2,6,1,5,1,8,5,2,3,3,1,2,2,2,3,5,3,1,1,2,2,2,4,1,2,1,1,1,3,1,0,2,0,3,0,4,0,2,2,3,3,4,5,9,4,2,9,4,6,5,5,1,2,2,2,1,8,5,2,4,3,2,2,1
0,3,2,4,3,0,3,1,7,0,0,2,1,0,3,0,0,0,0,1,2,0,4,1,0,1,3,6,1,2,0,2,1,0,2,0,0,5,0,0,0,1,2,0,2,2,4,1,1,2,1,0,12,3,0,1,0,2,1,0,0,2,0,2,0,1,0,1,1,0,5,2,0,2,0,0,2,0,0,2,1,1,1,1,0,0,2,0,1,0,2,3,2,1,0,4,3,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,5,0,1,2,0,0,2,1,2,0,0,0,1,2,1,1,0,1,0,0,0,0,1,1,0,0,4,0,1,0,0,3,3,0,1,1,3,0,1,1,0,3,0,3,1,2,1,0,0,2,0,1,0,1,1,0,1,3,0,0,2,1,0,0,1,2,4,3,1,0,0,1,0,1,0,0,0,0,1,6,2,2,0,0,0,0,1,2,1,0,2
0,1,3,1,0,2,1,0,2,0,2,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,4,0,0,2,4,2,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,3,1,0,2,0,4,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,5,0,0,0,0,3,3,1,2,0,0,2,1,1,0,0,0,0,1,0,0
4,2,1,3,1,1,2,0,1,0,3,3,0,2,1,2,1,0,0,0,1,4,1,0,1,0,2,0,1,0,0,4,3,2,1,1,2,1,0,0,1,1,2,0,0,1,0,1,3,1,0,4,2,3,2,0,4,1,2,0,0,0,0,4,3,3,0,4,2,0,0,1,1,2,0,2,2,2,2,0,1,1,1,0,0,1,2,2,1,3,1,1,0,0,1,1,3,1,2,8
5,3,4,0,5,0,1,1,2,1,5,0,2,1,4,3,6,5,0,1,0,8,3,4,3,0,0,0,4,11,1,0,6,2,2,0,3,7,1,0,1,4,5,1,4,2,3,5,1,3,0,0,3,1,2,0,1,2,1,2,3,1,0,1,5,3,4,0,0,0,2,0,1,2,1,2,2,0,0,1,1,3,0,1,0,0,0,2,2,2,0,2,0,1,4,0,1,6,1,2
1,0,2,1,0,1,0,2,1,0,6,0,1,4,2,0,5,3,0,1,3,1,0,0,0,3,0,0,1,0,0,5,1,1,2,0,3,2,1,5,1,1,1,4,0,0,1,0,0,0,0,4,1,3,0,3,3,2,1,0,1,0,4,0,2,1,2,3,4,1,2,0,3,0,3,2,1,3,4,2,2,1,3,0,3,0,1,2,0,0,1,2,1,0,3,9,0,2,3,0
6,0,3,3,0,1,2,1,0,3,0,3,0,8,7,4,0,0,1,5,1,2,0,0,3,4,2,1,0,0,0,0,4,0,3,1,2,1,4,1,1,1,0,1,2,0,0,0,1,4,0,2,0,4,5,1,0,0,1,0,10,6,6,0,0,1,3,1,1,2,0,6,1,0,3,0,0,0,2,1,0,6,1,3,2,0,3,1,0,1,1,3,2,0,3,0,3,0,1,4
0,2,0,1,0,2,0,3,0,0,0,0,1,1,0,3,1,0,1,1,1,1,6,2,2,2,0,1,0,1,2,0,1,1,6,0,2,1,2,7,9,0,5,0,0,0,0,1,3,1,1,0,1,0,1,2,0,1,2,0,2,0,0,0,3,3,1,3,2,6,2,2,0,4,1,4,1,0,4,0,3,1,1,3,0,0,0,3,2,0,3,1,0,0,0,1,0,0,0,2
6,0,1,4,1,0,2,0,0,0,0,1,1,0,1,0,1,0,0,1,3,0,0,0,2,1,4,1,0,1,0,0,0,0,1,0,2,4,0,5,2,1,4,2,2,5,1,0,3,1,1,0,2,4,1,0,0,3,2,1,0,1,4,1,1,0,4,2,2,2,3,1,7,0,0,0,2,3,2,3,1,0,1,0,0,2,3,0,2,0,0,0,2,1,0,2,1,0,4,2
0,1,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
5,3,1,3,3,2,3,0,4,3,5,1,0,0,3,1,0,1,2,4,6,0,0,1,3,1,0,0,1,4,0,1,1,1,1,1,0,0,0,5,0,1,1,0,2,1,4,1,3,3,5,2,3,1,2,1,1,4,2,4,4,0,1,1,5,1,2,3,1,3,2,1,3,2,3,0,2,3,2,0,1,1,4,1,1,3,0,1,1,2,1,1,4,1,0,1,1,1,1,1
0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0
0,1,1,0,0,1,1,1,0,1,1,1,2,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,3,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,3,1,0,1,0,3,0,0,0,2,3,2,0,0,2,0,4,3,1,0,0,0,1,2,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,3,1,1,1,2
0,1,0,4,0,4,1,4,2,2,3,7,2,4,3,0,2,1,1,2,8,3,2,1,0,0,0,9,7,2,2,2,3,2,2,3,1,1,0,0,0,0,1,0,0,0,0,4,3,2,3,1,5,2,2,0,6,6,1,1,3,2,1,0,3,0,2,1,0,2,2,1,2,5,0,5,0,0,0,2,0,0,4,2,10,1,8,0,7,0,1,2,3,1,4,4,2,5,7,1
1,2,6,1,2,0,3,3,3,2,1,0,2,1,6,3,3,4,4,3,2,3,3,2,10,0,4,0,2,1,4,3,0,4,3,5,5,0,2,4,7,1,2,5,3,1,2,2,1,4,1,3,10,7,0,5,1,2,0,2,3,0,2,1,3,7,1,1,1,7,2,2,0,1,6,4,1,8,2,1,4,0,4,3,1,1,3,3,4,1,0,1,1,3,2,1,4,1,7,4
0,0,0,1,1,0,0,0,2,0,2,0,0,0,0,0,1,4,1,0,0,0,3,0,0,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,3,6,2,0,0,0,0,0,0,0,0,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,2,0,6,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,4,4,2,1,5,1,0,2,1,4,1,5,2,2,5,2,0,3,1,2,2,1,3,3,7,4,0,1,1,0,0,0,6,0,2,3,0,1,1,1,1,0,1,1,3,0,0,2,2,1,2,0,1,4,5,6,1,2,4,2,0,1,0,3,0,2,5,0,1,6,0,0,0,0,2,3
2,4,3,0,0,6,2,3,1,1,0,0,2,2,0,0,0,1,0,0,0,3,3,0,0,1,0,3,3,0,0,5,1,1,0,1,0,2,4,0,0,0,0,0,1,5,1,6,1,1,3,0,0,2,0,1,1,0,0,0,1,0,0,0,4,0,0,2,1,3,0,2,3,2,0,2,0,2,0,0,1,2,1,3,0,1,0,0,1,4,1,3,0,2,1,0,0,2,4,1
4,6,4,5,2,0,4,3,2,4,2,0,4,2,6,1,4,3,4,0,1,4,4,0,2,2,1,2,1,2,2,2,1,4,11,1,1,5,5,2,4,1,0,9,2,0,3,1,4,0,8,1,2,1,3,3,7,0,2,2,3,0,1,0,2,6,0,0,1,1,0,0,7,3,8,2,0,5,3,0,4,3,4,5,2,3,3,1,4,3,5,4,1,4,4,1,1,5,5,9
2,2,0,2,7,11,1,1,1,0,2,1,3,3,2,2,3,2,0,2,2,0,4,2,3,0,2,1,1,5,3,0,1,6,1,1,6,0,0,1,1,2,0,1,0,1,0,0,0,1,2,0,3,0,2,3,1,1,0,1,3,1,1,1,0,3,2,0,1,5,1,0,0,6,4,0,0,2,0,1,0,0,0,1,0,0,4,1,2,0,1,2,0,0,0,3,10,1,0,0
0,1,2,0,0,1,0,1,0,0,1,0,0,0,4,1,2,3,0,0,2,1,5,0,2,0,1,1,0,0,0,0,1,0,1,0,1,4,0,0,0,0,4,1,0,1,1,1,2,1,0,5,2,2,1,0,0,2,0,0,0,0,6,0,1,1,1,2,1,0,3,0,1,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,1,1,1,2
2,1,0,5,4,2,2,3,1,5,1,1,3,2,2,1,0,1,3,1,1,0,2,0,0,7,1,0,4,0,3,1,9,3,0,2,4,1,3,0,5,5,1,0,2,2,0,1,1,2,0,0,2,4,2,1,1,0,2,2,1,2,1,0,1,1,2,0,6,0,4,3,0,1,1,3,1,2,1,3,1,1,0,1,2,1,2,1,1,5,2,0,3,0,3,0,0,3,1,2
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0
2,3,2,0,1,0,2,1,1,1,0,3,5,0,0,3,3,3,0,1,0,0,0,0,1,1,2,3,2,0,0,2,2,3,2,1,1,1,2,2,5,1,0,1,2,1,0,0,2,0,2,2,0,0,1,2,2,0,0,1,2,2,2,1,3,3,0,3,0,1,1,1,0,0,0,2,3,1,0,0,0,8,1,2,1,4,0,3,2,3,3,6,4,1,0,2,3,0,7,0
0,4,0,3,3,4,2,5,2,3,4,0,1,4,5,1,0,0,1,2,0,5,4,4,7,9,5,6,2,0,0,4,0,0,1,7,3,2,4,0,3,0,1,3,1,1,1,3,0,0,0,0,0,1,0,0,4,1,1,2,2,4,1,6,2,0,0,1,4,0,6,0,6,6,2,2,2,2,1,2,0,6,1,1,0,0,0,1,0,5,1,2,2,3,5,3,0,4,4,4
4,1,2,2,3,1,1,1,3,0,3,0,3,1,3,2,1,0,0,0,2,0,0,0,1,0,3,1,0,0,1,1,11,2,1,0,3,1,0,2,1,0,2,3,4,1,2,1,1,1,1,3,1,5,0,0,1,6,0,0,1,0,1,0,2,0,2,0,5,1,0,1,3,0,2,0,0,2,0,3,0,1,0,0,5,2,0,0,0,1,1,1,1,3,4,5,1,2,2,1
0,4,0,1,0,0,1,0,2,0,0,1,1,1,0,1,0,2,0,2,0,1,0,5,2,0,2,1,1,1,0,1,0,0,0,1,3,0,1,1,0,0,0,1,0,1,3,0,1,0,4,1,0,0,0,0,2,1,2,0,1,3,0,0,1,1,1,0,0,0,0,3,5,4,4,1,0,3,2,1,1,1,3,0,2,0,4,0,0,1,0,0,0,0,0,0,1,0,1,4
0,0,5,4,3,4,1,2,1,1,1,0,3,1,1,0,4,3,1,1,0,2,0,3,2,2,0,0,1,0,1,2,1,4,2,4,2,0,3,1,1,2,1,2,3,1,0,3,1,2,0,0,7,1,1,0,0,2,0,5,1,4,1,0,2,0,0,2,4,2,1,2,2,3,5,1,5,3,2,4,1,5,2,1,4,4,7,2,1,2,1,0,2,1,1,1,0,2,1,3
4,4,3,2,3,0,6,5,1,6,0,1,2,4,3,0,0,1,3,5,2,1,2,1,0,1,6,0,1,0,0,1,2,4,3,8,3,2,1,4,3,2,5,2,0,2,0,1,2,0,4,5,1,0,0,1,0,0,1,5,4,1,4,3,2,3,0,3,1,1,5,2,1,2,5,1,0,1,3,7,7,0,0,3,6,4,0,4,4,1,2,0,0,1,9,1,2,3,2,2
1,3,1,2,1,0,1,1,2,3,1,1,0,0,4,1,1,0,0,0,1,0,0,0,0,0,2,3,3,1,0,1,0,1,0,0,0,0,1,3,0,0,1,0,2,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,4,0,2,0,1,1,0,0,0,6,1,1,0,1,0,0,0,0,0,0
0,0,2,2,0,0,0,0,4,0,2,1,1,3,0,1,3,3,4,0,0,1,1,0,0,1,0,1,0,0,1,4,4,0,0,1,1,0,0,2,0,1,0,0,2,2,1,1,2,1,0,2,2,0,5,5,0,2,1,1,1,0,5,1,1,2,0,0,7,1,3,1,3,1,1,4,1,2,2,1,3,0,0,2,2,0,3,2,1,0,0,0,0,2,4,0,0,0,1,0
0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,2,2,0,0,1,0,1,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,1,0,0,0,1,0,0,1,0,0,1,2,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,4,1,0,0,2,2,0,1
0,4,0,2,4,2,4,1,1,1,0,0,1,2,3,3,2,2,6,2,0,7,0,5,5,2,3,2,1,9,0,3,0,1,4,1,0,0,0,0,1,1,0,0,1,1,2,1,4,0,3,2,0,0,2,1,3,1,6,1,1,0,3,3,1,0,1,0,3,1,3,0,4,1,0,2,0,3,0,4,1,0,0,1,2,0,3,0,0,2,6,0,3,1,3,0,0,0,4,1
1,1,0,4,1,2,2,0,4,0,2,0,0,0,1,0,1,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,2,0,1,1,1,2,3,1,1,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1
3,1,1,3,4,4,1,5,2,3,3,0,0,2,2,0,2,3,3,0,0,1,1,0,2,1,0,1,0,3,0,5,1,2,0,3,4,1,4,0,1,4,1,0,0,8,2,2,4,0,2,0,4,0,2,0,4,1,0,3,2,1,5,0,2,3,5,4,0,1,8,2,4,1,0,1,5,6,2,2,0,5,1,2,1,1,0,4,3,6,0,1,0,3,5,4,3,8,2,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,1,0,2,0,0,3,3,2,0,1,0,0,2,1,0,0,3,0,1,0,1,6,2,5,3,0,1,3,0,1,0,2,0,6,0,2,0,0,0,0,2,0,0,2,0,0,1,0,0,0,2,1,2,2,0,0,0,0,4,0,0,1,0,0,0,2,0,3,0,0,2,2,0,4,1,2,3,0,2,0,1,1,2,0,0,2,0,1,0,0,0,0
1,1,2,2,3,5,5,1,1,4,0,2,5,0,2,8,2,1,0,2,1,0,1,0,0,1,0,5,6,1,6,3,3,6,0,1,2,5,2,0,2,1,2,7,3,4,2,9,6,0,1,0,1,2,0,1,5,1,2,2,0,3,5,0,0,2,1,5,3,4,0,4,7,3,1,8,3,0,1,2,1,0,1,4,1,3,3,3,1,3,0,1,2,6,1,4,0,4,2,0
8,5,2,1,0,2,0,1,0,1,3,2,0,1,2,2,3,2,0,0,0,0,1,1,0,1,1,0,2,0,0,1,1,2,1,2,4,0,3,4,1,0,3,2,3,4,1,1,2,2,1,4,6,0,1,1,3,1,1,5,3,3,0,0,6,0,3,2,0,0,0,0,3,2,0,2,2,1,3,2,1,2,0,1,0,6,1,2,0,0,1,0,1,3,4,0,1,0,1,1
2,0,0,1,2,0,3,0,0,1,1,2,2,0,0,0,2,2,4,1,1,1,0,0,2,1,1,1,0,2,3,0,5,2,0,2,1,0,0,0,0,0,3,2,1,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,3,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,3,1,0,0,0,0,1,0,2,0,1,2,0,0
6,1,1,3,6,5,4,1,1,2,5,7,2,2,3,0,0,0,0,1,3,1,3,0,2,3,2,1,1,3,7,9,0,2,0,2,2,0,4,0,6,4,3,5,4,6,1,6,3,0,0,2,0,1,1,2,1,5,2,1,3,1,0,3,2,1,2,2,4,2,3,5,0,0,1,4,2,6,1,0,1,3,1,0,2,3,5,2,4,4,5,4,2,3,6,3,4,3,0,4
2,4,1,3,2,1,6,1,2,3,5,1,1,0,3,2,0,3,2,2,2,2,3,1,0,2,1,2,2,2,3,3,2,3,0,3,1,1,10,5,0,2,0,0,0,0,1,3,1,0,0,3,1,1,0,3,6,0,0,2,0,0,0,7,0,1,2,0,1,1,0,1,5,4,2,3,2,6,12,3,2,1,4,1,1,2,0,4,2,2,0,1,0,2,1,0,2,1,4,0
3,4,3,3,1,2,3,6,3,3,1,5,0,7,9,3,2,1,3,4,2,2,6,4,4,4,2,2,2,4,5,4,2,12,6,6,2,6,6,5,7,8,4,2,3,1,6,8,1,7,1,5,3,3,1,5,7,1,6,0,4,5,2,0,5,3,4,7,4,3,7,7,3,3,3,2,7,2,3,2,0,2,0,2,3,3,1,2,4,3,1,7,1,1,2,1,3,4,2,8
3,0,1,0,0,0,0,4,1,0,0,4,3,1,1,0,0,2,0,4,2,0,0,0,0,0,2,1,0,2,0,0,0,1,0,2,1,3,2,0,6,1,0,1,3,0,3,1,1,0,3,1,2,0,0,0,3,0,4,3,2,1,0,0,0,2,5,0,0,2,0,1,2,1,2,0,0,2,1,1,2,0,3,5,3,2,1,1,0,2,0,4,3,4,1,1,0,0,0,1
0,3,3,2,0,1,1,2,2,1,1,2,3,3,2,0,0,0,0,1,0,1,4,0,1,4,5,3,2,1,2,1,0,0,0,4,3,7,1,1,0,1,3,0,5,0,0,0,3,3,0,1,0,2,0,0,2,2,1,3,3,3,4,1,7,1,1,1,3,1,3,0,0,1,0,7,0,0,5,0,2,0,2,0,1,0,0,0,2,0,0,1,4,1,1,5,3,1,1,2
0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0
4,0,1,0,0,2,0,3,0,2,2,1,0,4,0,1,2,3,5,0,0,2,0,0,0,1,0,0,4,1,4,1,3,2,0,0,1,3,1,0,1,0,1,0,0,4,1,0,2,1,1,3,2,1,0,1,0,1,1,1,1,5,4,2,1,1,2,2,0,1,2,0,0,0,0,0,2,3,1,0,1,2,3,1,0,2,4,0,3,4,1,0,2,2,1,0,0,3,4,1
2,1,1,0,0,1,2,0,0,0,3,5,0,3,1,0,1,0,2,3,2,2,0,1,0,0,0,4,0,4,0,0,0,0,0,2,0,1,0,0,2,0,0,4,2,0,2,0,0,1,0,3,1,0,0,0,0,5,1,3,0,1,0,2,3,0,0,2,2,0,1,0,0,0,0,1,1,0,0,2,0,0,2,0,0,4,1,0,0,0,1,4,0,4,0,1,1,1,1,0
0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,3,0,0,0,0,1,0,0,0,0,0,0,1,3,3,0,0,1,0,2,1,0,0,0,1,0,1,2,0,0,0,0,1,2,0,3,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,4,2,4,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,0,0,2,4,0,0,1,1,0,0,0,0,3,2
11,1,1,2,0,2,2,0,1,0,0,0,0,2,3,3,4,1,3,0,2,2,8,2,0,0,0,5,1,2,3,1,2,1,0,0,2,3,1,4,3,1,1,3,0,0,4,2,0,0,1,5,6,6,3,3,1,1,0,1,3,1,4,5,0,4,2,2,3,1,4,0,0,0,3,3,1,0,0,5,4,0,1,1,2,1,0,2,0,0,1,1,5,2,2,4,1,1,1,1
1,0,0,2,0,2,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,2,3,0,0,0,0,1,1,1,5,3,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,3,0,2,1,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,1,0,1,0,0,0,0
4,5,6,1,0,1,5,5,3,3,7,0,2,0,1,3,1,2,3,0,2,2,5,2,5,1,6,1,12,1,0,2,9,1,3,0,2,3,5,1,0,1,6,7,0,0,3,0,1,2,0,1,2,2,1,1,5,2,1,0,0,2,4,2,0,3,0,1,3,3,3,1,3,6,3,4,2,5,2,4,1,4,1,2,2,3,0,1,1,2,2,5,5,0,2,1,5,6,0,5
3,4,4,2,2,5,7,4,1,0,1,0,1,0,1,2,3,1,0,3,7,1,2,6,0,1,0,2,1,0,4,3,2,0,0,0,1,0,4,0,1,2,0,1,0,3,0,1,0,2,0,2,1,0,6,1,0,3,0,5,0,0,1,0,1,2,0,0,1,1,0,1,1,5,0,2,0,3,5,0,1,2,0,3,1,0,0,0,2,2,1,3,2,2,0,1,2,1,0,1
0,3,1,2,4,1,2,1,0,1,1,0,2,3,1,1,1,2,1,0,1,2,4,1,1,6,2,7,1,1,3,0,3,0,2,0,0,0,3,1,2,0,2,3,1,2,1,1,1,2,1,0,0,0,2,3,0,1,0,5,0,1,0,1,0,4,3,0,0,0,5,3,1,0,5,3,1,0,3,3,4,1,1,1,1,0,0,5,5,1,2,3,4,2,1,1,1,2,1,4
0,0,0,2,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,1,2,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,5,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
1,8,5,1,2,1,6,2,4,2,0,3,1,3,0,1,3,2,5,3,1,5,2,2,5,7,5,2,3,4,3,1,7,2,3,6,2,1,1,2,2,0,1,2,2,0,1,3,3,1,1,4,2,0,4,1,2,9,1,0,1,6,3,0,6,0,5,7,1,0,4,3,2,4,0,4,3,1,0,1,3,3,3,0,2,1,7,5,1,4,0,10,4,1,1,3,0,4,2,0
0,0,0,1,0,0,0,2,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,1,1,2,0,0,1,1,0,0,0,0,1,0,3,0,0,1,1,3,1,0,1,1,2,1,1,0,0,1,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,1,0,2,3,0,2,2,0,3,0,0,0,0,0,0,0,1,0
2,2,6,1,1,0,0,2,0,0,1,0,3,0,0,0,0,0,0,2,4,2,2,0,1,0,0,1,1,0,0,0,2,2,1,2,5,1,0,2,3,4,0,4,0,0,0,4,3,1,2,0,0,1,1,0,3,1,0,1,1,0,0,0,1,0,1,3,1,2,2,0,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,1,2,4,0,1,3,4,1,0,0,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0
2,0,0,2,2,2,3,2,1,0,1,0,7,0,0,1,0,0,1,4,0,3,0,0,6,1,1,9,1,0,0,1,2,0,4,1,0,2,1,2,0,2,0,0,1,0,2,1,1,1,4,0,1,3,3,3,0,1,1,0,4,0,2,1,0,1,0,1,0,3,6,0,4,1,3,1,2,1,0,2,3,4,2,3,0,5,1,2,0,2,0,2,6,1,2,5,1,1,0,3
0,0,0,2,1,2,1,0,0,2,0,0,1,4,0,0,1,1,0,1,6,0,0,0,3,0,0,1,4,0,0,0,1,2,0,2,2,0,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,2,2,0,2,0,0,0,2,1,0,0,1,1,2,1,0,0,0,0,1,0,4,0,5,1,3,0,0,3,1,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,4,0,0,0,2,4,3,0,3,0,1,1,0,0,0,0,0,0,0,0,4,0,0,1,2,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,2,1,0,0,0,2,0,1,0,2,0,0,0,0,0,1,4,0,2,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2,1,0,0,0,1,4,0,3,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,4,1,3,0,0,2,0,0,2,0,0,0,0,1,0,2,1,0,0,1,1,2,0,3,0,0,2,2,0,2,0,6,0,0,0,0,2,2,0
2,5,1,2,0,3,2,1,3,2,1,1,3,0,2,0,0,2,0,1,0,8,0,2,0,2,7,2,2,0,0,0,0,0,0,4,0,6,2,4,0,3,9,6,7,3,1,2,0,2,0,0,0,0,1,0,0,1,0,1,5,2,0,1,2,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,2,1,3,1,0,2,7,0,2,0,3,4,0,2,1,2,1,6,4,2
0,1,0,1,4,2,2,0,4,5,1,0,0,0,2,0,1,1,2,2,3,0,4,3,2,0,1,0,1,2,0,1,4,4,2,2,2,2,2,3,0,1,0,3,0,3,3,4,1,0,1,0,1,0,2,1,2,9,3,3,0,0,0,0,0,0,0,3,0,2,0,0,0,1,3,0,0,1,4,2,2,1,1,1,1,0,3,8,1,5,5,4,1,3,2,0,2,0,1,1
