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