0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1
1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1
0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1
0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1
1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0
0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1
0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1
0,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,4,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1
0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1
0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1
1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0
0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0
0,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1
0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1
0,1,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,3,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,4,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1
0,1,0,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1
0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,0,0,3,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0
0,0,0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0
1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0
0,1,1,1,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0
1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,1,1,0,1,0,0,0,0,0,1
0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,0,0,0,0,1,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,2,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,3,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,4,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1
0,1,0,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1
0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0
0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,3,0,1,0,0,0,0,0,1,0
1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0
1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,2,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0
0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1
0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1
0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0
1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,2,1,0,1,0,0,0,1,0,0,0,0
0,1,1,1,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0
1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,1,0,1,0,0,0,0,0,2
0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0
0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,1,0,0,0,0,1,0,1,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,3,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,1,0,0,2,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,3,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,4,0,1,0,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0
0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,2,0,1
0,1,0,0,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,2,0,1,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0
0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,2,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,0,1,2,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0
1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1
1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,2,0,0,0,1,1,0,3,0,1,0,0,0,0,0,2,0
1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,1,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,1,0,0
1,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,3,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0
0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,0,1,0,0,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1
0,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,3,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1
0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,1,0,1,0,0,0,1,0,0,0,0
0,1,1,2,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,2,0,1,0,0,0,0,0,2
0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0
0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,4,0,1,0,0,0,0,1,0,1,0,1,0,0
0,1,0,0,0,0,1,0,0,0,0,0,3,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,0,0,2,0,0,1,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0
1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,3,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,4,0,1,0,1,0,0,2,1,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,1,0
0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,2,2,0,1
0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0
0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,1,1,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,2,1,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,2,0,1,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0
0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,2,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,2,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,1,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,2,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0
1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,2,1
1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,1,2,0,0,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,2,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,0,0,4,0,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0
0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,1,0,3,0,1,0,0,0,0,0,2,0
1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,0,0,3,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,0,0,1,0,0
1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,4,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0
0,1,0,0,1,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,1,0,3,0,0,0,0,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,2,1,1
0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,1,0,2,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1
0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,1,0,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,2,0,1,0,0,0,2,0,0,0,0
0,1,1,2,0,0,1,0,2,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,1,0,1,0,1
1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,3,0,1,0,0,0,0,0,2
0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,1,0
0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,4,0,1,0,0,0,0,1,0,1,0,1,1,0
0,1,0,0,0,0,2,0,0,0,0,0,3,2,0,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,0,0,2,0,0,1,0,0,0,0,1,3,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,3,0,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,4,0,1,0,1,0,0,2,2,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1
0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,0,1,1,0
0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,0,2,2,0,1
0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0
0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,1,1,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,2,2,1,1,2,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1
0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,1,0,0,0,1,1,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,3,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,1,1,1,1,2,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1
0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,2,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,2,2,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1
1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1
0,0,1,1,0,0,0,0,2,2,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,0,0,1,1,1,0,0
0,1,0,0,0,1,2,0,1,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,2,0,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1
2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,2,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,1,0,0,1,0,4,1,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,2,0,1,0
0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,1,0,3,0,1,0,0,0,0,0,2,0
1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,1,0,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,1,1,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,3,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,0,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,4,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0
0,1,0,0,2,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,0,1,0,1,0,2,0,1,0,2,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,1,0,3,0,0,0,0,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,3,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,2,1,1
0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,1,0,0,0,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,2,0,2,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0
0,0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,1,0,0,0,1,1,0,0,1,0,0,0
1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,2,2,0,1,0,0,0,2,0,0,0,0
0,1,1,2,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,1,0,1,0,1
1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
0,0,0,1,1,0,1,0,0,0,0,2,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,4,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0
0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,0,4,0,1,0,0,0,0,2,0,1,0,1,1,0
0,1,0,0,0,0,2,1,0,0,0,0,3,2,0,0,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,0,0,2,1,0,1,0,0,0,0,1,3,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0
1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,3,0,0,0,0,2,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,2
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,4,0,1,0,1,0,0,2,2,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1
0,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,0,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,3,0,1,1,0
0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,1,0,0,1,1,0,0,2,2,0,1
0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,0
0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,3,0,0,2,0,1,1,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,2,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,1,2,2,1,1,3,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,1,1
0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,1,0,0,0,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,1,0,0,0,2,0,0,0,2,0,0,0,3,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,1,1,1,1,2,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2
0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,1,0,1,2,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,1,0,2,2,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1
1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,1,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,0,0,1
0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,1,0,0,1,0,1,1,1,0,0
0,1,0,0,0,1,2,0,1,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,2,0,2,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1
2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,1,0,4,1,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,2,1,1,0
0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,1,0,3,0,1,0,0,0,1,0,2,0
2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,1,0,0,2,1,0,0,0,2,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,1,0,1,1,0,2,0,2,0,0,1,1,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,1,1,0,1,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,3,1,0,0,0,0,0,1,1,0,0,0,1,1,0
0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,4,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,0,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,4,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,1,2,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1
0,1,0,0,2,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,0,1,0,1,0,2,0,1,0,2,0,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,1,1,3,0,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,4,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,2,1,1
0,1,0,1,0,1,2,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,3,0,2,1,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0
0,0,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,1,2,0,0,0,1,1,0,0,1,0,0,0
1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,0,2,2,0,1,0,0,0,3,0,0,0,0
1,1,1,2,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1
1,0,0,1,3,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,1,1,0,0,0,0,1,0,1,0,1
1,0,1,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
0,0,0,1,1,0,1,0,0,0,1,2,1,0,2,0,1,1,1,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,4,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0
0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,4,0,1,0,0,0,0,2,0,1,0,1,1,0
0,1,0,0,0,0,2,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0
1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,1,0,0,0,0,1,3,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0
1,0,0,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,3,0,0,0,0,2,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,2
0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,0,1,0,4,0,1,0,1,0,0,2,2,0,2,1,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1
0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,1,1,0,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,2,0,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,0,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,3,0,1,2,0
0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,2,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,1,0,0,1,1,0,0,2,2,0,1
0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1
0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,3,0,1,2,0,1,1,0,0,1,1,2,1,1,0,0,0,1,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,2,1,0,0,1,1,2,2,1,1,3,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,1,1
0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,2,0,0,0,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,1,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,0,2,1,0,0,0,2,0,0,0,3,0,0,0,3,0,0,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,2,1,1,1,2,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,2
0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,1,2,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,1,0,2,2,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1
1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,2,2,1,0,0,1,0,1,2,1,0,0
0,1,0,0,0,2,2,0,1,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,2,2,0,2,0,1,0,1,1,0,1,0,1,2,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2
2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,2,0,1,1,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,2,1,0,1,1,0,4,1,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,1,1,0,0,1,0,1,2,1,1,0
0,0,1,0,0,1,1,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,2,0,0,0,1,1,1,3,0,1,0,0,0,1,0,2,0
2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,2,0,1,0,1,0,1,0,0,2,1,1,0,0,2,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0
1,0,0,0,0,0,2,0,1,1,0,2,0,2,0,0,1,1,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1
0,0,0,0,1,1,0,1,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,3,1,0,0,0,0,0,1,1,0,0,0,1,1,0
0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,4,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,0,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0
0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,2,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1
0,2,0,0,2,0,0,1,0,0,2,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,3,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,0,1,0,1,0,2,0,1,0,2,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0
0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,4,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1
0,1,0,1,0,1,2,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,1,1,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,0,0,0,3,0,2,1,0,2,0,1,0,1,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0
1,0,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,0,2,0,0,2,1,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,1,1,2,0,0,0,1,1,0,0,1,0,0,0
1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,2,0,0,2,2,0,1,0,0,0,3,0,0,0,0
1,1,1,2,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,2,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1
1,1,0,1,3,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,3,1,0,0,0,0,0,0,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,1,1,0,0,0,0,1,0,1,0,1
1,0,1,0,0,3,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
0,0,0,1,1,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,2,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,4,0,1,0,0,0,0,2,0,1,0,1,1,0
0,1,0,0,0,0,2,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0
1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,1,0,1,1,0,1,3,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0
1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,3,0,0,0,0,2,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,2
0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,1,0,1,0,4,0,1,0,1,0,0,2,2,0,2,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1
0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,2,1,0,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,0,0,2,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,0,2,0,2,1,1,0,0,0,0,0,1,0,0,2,0,0,1,0,3,0,1,2,0
0,0,0,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,2,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,1,0,0,1,1,0,0,2,2,0,1
0,1,0,0,0,1,0,0,2,2,1,1,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1
0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,3,0,1,2,0,1,1,0,0,1,1,2,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,2,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,2,1,0,0,1,1,2,2,2,1,3,0,2,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0
0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,2,0,0,2,0,1,1,1,0,1,0,0,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,1,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,2,0,0,0,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1
0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,0,2,0,0,0,3,0,0,0,3,0,0,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,2,1,1,1,2,1,0,2,0,0,0,0,1,0,1,0,2,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,2
0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,1,2,0,1,2,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,2,3,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,1,0,2,2,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1
1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,2,2,1,0,1,1,0,1,2,1,0,0
0,1,0,0,0,2,2,0,2,0,0,2,1,0,0,0,1,2,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,0,0
0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,2,0,2,0,1,1,1,1,0,1,0,1,2,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,3,2,0,0,2,0,0,0,0,0,0,0,0,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,3,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2
2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,0,0,1,0,0,1,0,1,0,2,0,0,0,1,0,0
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,2,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,2,1,0,1,2,0,1,1,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,2,1,0,1,1,0,4,1,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,1,0,1,2,0,0,1,0,1,2,1,1,0
0,0,1,0,0,1,2,1,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,0,1,1,1,3,0,1,0,0,0,1,0,2,0
2,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,1,0,0,2,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0
1,0,0,0,0,0,2,0,1,1,0,2,0,2,0,0,1,1,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1
0,0,0,0,1,1,0,1,1,3,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,3,2,0,0,0,0,0,1,1,0,0,0,1,1,0
0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,4,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,0,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,1,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,2,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0
0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,2,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1
0,2,0,0,2,0,0,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,3,1,0,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,1,1,0,1,0,2,0,1,1,2,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,0,1,1,2,2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0
0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,1,0,1,0,0,1,4,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1
0,1,0,1,0,1,2,1,1,1,0,0,0,1,0,2,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,1,0,0,3,0,2,1,0,2,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0
1,0,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,0,2,2,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,3,1,1,2,0,0,0,1,1,0,0,1,0,1,0
1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,0,0,2,2,1,1,0,0,0,3,0,0,0,0
1,1,1,2,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,3,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1
1,1,0,1,3,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,0
1,0,0,1,0,0,1,0,1,0,3,1,0,0,0,0,0,1,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,1,2,0,0,0,0,1,0,1,0,1
1,0,1,0,0,3,0,0,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,1,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
1,0,0,1,1,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,3,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,1,4,0,1,0,2,0,0,2,0,1,0,1,1,0
0,1,0,0,0,0,3,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0
2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,1,0,1,1,0,1,3,2,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0
1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,2,3,1,0,0,0,2,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,2
0,0,0,0,3,0,0,1,1,0,0,0,0,1,0,1,0,1,0,4,0,1,0,1,0,0,2,2,1,2,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1
0,0,1,1,0,0,1,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,1,1,2,0,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,1,0,2,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,2,1,0,0,1,0,0,1,0,1,1,0,2,0,2,1,1,0,1,0,0,0,1,0,0,2,0,0,1,0,4,0,1,2,0
0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,2,0,0,1,2,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,2,0,0,1,1,0,0,2,2,0,1
1,1,0,1,0,1,0,0,2,2,1,1,0,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1
0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,3,0,1,2,0,1,1,0,1,1,1,2,1,1,0,0,1,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,2,1,2,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,2,1,1,0,1,1,2,2,2,1,3,0,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0
0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,1,2,1,0,2,0,1,1,1,0,1,0,0,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,1,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,2,0,0,1,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,1
0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,1,2,0,0,0,3,0,0,0,3,0,0,0,2,1,1,0,2,1,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,0,2,1,1,1,2,1,0,2,0,0,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,2
0,0,1,0,0,0,1,0,1,0,0,0,0,2,1,2,2,0,1,2,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,1,1
0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,2,1,0,0,0,1,0,0,0,0,2,0
0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,2,1,0,2,2,0,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1
2,1,1,0,1,0,2,0,1,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,2,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,2,2,1,0,1,1,0,1,2,1,0,0
0,1,0,0,0,2,2,0,2,0,0,2,1,0,0,1,1,2,0,1,1,0,1,0,2,0,0,0,1,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0
0,0,1,1,0,0,0,2,0,0,0,2,1,0,0,0,1,0,1,2,2,0,2,0,1,1,1,1,0,1,0,1,2,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0
0,2,0,0,0,0,3,2,0,0,2,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,3,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2
2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,0,0,1,1,0,1,0,1,0,2,0,0,0,1,0,1
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,0,2,0,2,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,1,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,0,2,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,2,1,0,1,1,0,4,1,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,2,0,0,1,0,1,2,1,1,0
0,0,1,0,0,1,2,1,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,3,0,0,0,1,1,1,3,0,1,0,0,0,1,0,2,0
2,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,1,0,0,3,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0
1,0,0,0,1,0,2,0,1,1,0,2,0,2,0,0,2,1,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,0,1
0,0,0,1,1,1,0,1,1,4,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,3,2,0,0,0,0,0,1,1,0,0,0,1,1,0
0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,3,0,4,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,0,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,2,2,0,0,1,2,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,1
1,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,2,0,0,1,0,2,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0
0,0,2,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,1,2,2,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2
0,2,0,0,2,0,1,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,3,1,1,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,1,1
0,0,0,1,1,0,1,0,2,0,1,1,3,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,2,0,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,1,1,1,2,2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1
0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,2,0,1,0,0,1,4,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,2,1,1
1,1,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,0,1,1,0,0,2,0,0,0,1,2,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,1,0,0,3,0,2,1,0,2,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,1,1,0,3,0,0,0,0,2,0,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,0,2,2,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,1,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,2,0,0,2,2,1,1,0,0,0,3,0,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,0,1,3,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1
1,1,0,1,3,0,0,0,0,4,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,0,1,0,0,2,0,1,0,3,1,0,0,0,0,0,1,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,0,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,2,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
1,0,0,1,1,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,1,0,0,1,1,2,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1
0,3,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,1,0,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,2,0,0,1,0,0,0,0,0,1,0,1,0,2,4,1,1,0,2,0,0,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,1,1,0,1,0
2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,1,0,1,1,0,1,3,2,0,0,0,0,0,0,0,0,1,0,2,0,1,2,0
1,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,2,3,1,0,0,0,2,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,2
0,0,0,0,3,0,1,1,1,0,0,0,0,1,0,1,0,1,0,4,0,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1
0,0,1,1,0,0,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,1,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,1,0,2,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,3,1,0,0,1,0,0,1,0,1,1,0,2,0,2,1,1,0,1,0,0,0,1,0,0,2,0,0,1,0,4,0,1,2,0
0,0,1,0,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,1,0,0,0,1,0,0,2,1,2,0,0,0,0,2,0,0,1,1,0,0,2,2,0,1
1,1,0,2,0,1,0,0,2,2,1,1,1,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,0,2,0,0,0,0,0,0,1,1
0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,3,0,1,2,0,1,1,0,1,1,1,2,1,1,0,0,1,2,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,2,1,2,0,0,1,0,0,0,0,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,2,1,1,0,1,2,2,2,3,1,3,0,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0
0,1,1,0,0,1,0,1,0,0,1,2,0,0,0,1,2,1,0,2,0,1,1,1,0,1,0,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,2,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,4,1,0,1,2,0,2,0,0,1,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,1
0,0,0,2,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,1,2,0,0,0,3,0,0,0,3,0,0,0,2,1,1,0,3,1,2,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,1,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,2
0,0,1,0,0,0,1,0,2,0,0,0,0,2,1,2,2,0,1,2,1,1,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,0,0,1,1
0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,0,0,0,1,0,0,0,1,1,1,2,1,1,1,0,2,1,0,0,1,1,0,0,0,0,2,0
0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,3,1,0,2,2,0,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1
2,1,1,0,1,1,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,2,0,1,1,0,0,0,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,1,0,1,0,0,1,0,2,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,3,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,4,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,2,2,1,0,1,1,0,1,2,1,0,0
0,1,0,0,0,2,2,0,2,0,0,2,1,0,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0
0,0,1,1,0,0,1,2,0,0,0,2,1,0,0,0,1,0,1,2,2,0,2,0,1,1,1,1,0,1,0,1,2,0,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,0,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,3,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,2
2,0,1,0,0,0,0,0,0,1,1,0,2,1,0,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1
1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,2,0,2,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,2,1,0,1,1,0,4,2,0,1,0,0,1,0,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,2,1,0,1,2,0,0,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,3,0,0,0,1,1,1,3,0,1,0,0,0,1,0,2,0
2,0,0,0,1,0,3,0,2,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,1,0,0,3,0,0,1,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,0,0,1,0
1,0,0,0,1,0,2,0,1,1,0,2,0,2,0,0,2,1,1,0,0,4,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1
0,0,0,1,2,1,0,1,1,4,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,3,2,1,0,0,0,0,1,1,0,0,0,1,1,0
0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,3,0,5,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,1,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,2,2,0,0,1,2,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,1
2,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,1,2,1,0,1,0,2,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0
0,0,2,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,2,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2
0,2,0,0,2,0,1,1,0,0,2,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,3,1,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,2
0,0,0,1,1,0,1,0,2,0,1,1,3,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,3,1,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,1,1,1,2,2,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,1,1,1,0,1
0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,2,0,1,0,0,1,4,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,1,1
2,1,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,0,1,1,0,0,3,0,0,0,1,2,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,1,1,0,3,0,2,1,0,2,0,1,0,1,0,2,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,2,0,1,0,2,1,1,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,1,1,0,3,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,3,0,0,1,0,2,0,0,3,2,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,1,0,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,3,0,0,2,2,1,1,0,0,0,4,0,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,3,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,1,1
2,1,0,1,3,0,0,0,1,4,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,0,1,0,0,2,0,1,0,3,2,0,0,0,0,0,1,0,2,1,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,1,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,2,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
1,0,0,1,1,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,1,1,0,0,0,2,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1
0,3,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,1,0,0,0,2,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,1,2,0,0,0,1,2,0,0,1,0,1,0,0,0,1,0,1,0,2,4,1,1,0,2,0,0,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,1,1,0,1,1
2,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,2,0,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0
2,0,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,2,3,1,0,0,0,2,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,2
0,0,0,0,3,0,1,1,1,0,0,0,0,1,0,1,0,1,0,4,0,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1
0,0,1,2,0,0,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,1,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,1,0,3,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,1,0,2,0,2,1,1,0,1,0,0,0,1,0,0,2,0,1,1,0,4,0,1,2,0
0,0,1,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,1,0,0,0,2,0,0,2,1,2,0,0,0,0,2,0,0,1,1,0,0,2,2,0,1
1,1,0,2,0,1,0,0,2,2,1,1,1,1,1,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,1,2,0,0,0,0,0,0,2,1
0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,2,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,1,2,1,2,0,0,1,0,0,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,1
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,2,1,1,0,1,3,2,2,3,1,3,0,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0
0,1,1,0,0,1,0,1,1,1,1,2,0,0,0,1,2,1,0,2,0,1,1,1,0,1,0,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,2,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,2,4,1,0,1,2,1,2,0,0,1,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,1
0,0,0,2,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,1,2,0,0,0,3,1,0,0,3,0,0,0,2,1,1,0,3,1,2,0,0,0,0,0,0,0,1
2,0,1,0,0,0,0,1,0,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,2,0,2,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,2
0,0,1,0,0,0,1,0,2,0,0,0,0,2,1,2,2,0,1,2,1,1,1,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,1,1
0,1,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,0,1,0,0,0,1,1,1,2,1,1,1,0,2,1,0,0,1,1,0,0,0,0,2,0
0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,3,1,0,2,2,0,0,1,2,0,2,0,2,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1
2,2,1,0,1,1,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,2,2,0,1,1,0,0,1,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,2,0,1,1,0,1,0,2,0,1,0,0,0,2,1,0,1,0,1,1,0,0,0,3,1,2,1,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,4,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,2,2,1,0,1,1,0,1,2,1,1,0
0,1,0,0,0,2,2,0,2,0,0,2,1,0,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0
0,0,1,1,0,0,1,2,0,0,0,2,1,0,0,0,1,0,1,2,2,0,2,0,1,1,1,1,0,1,1,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,1,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,3,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,0,2,1,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,0,1
1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,3,0,2,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,1,1,0,0,0
0,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,0,2,0,0,1,0,0,2,1,0,1,1,0,4,2,1,1,0,0,1,1,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,2,1,0,1,2,1,0,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,2,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,3,0,0,0,1,1,1,3,0,1,1,0,0,1,0,2,0
2,0,0,0,1,0,3,0,2,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,1,0,0,3,0,0,2,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,1,0,1,0
1,0,0,0,1,0,2,0,1,1,0,2,0,2,0,0,2,2,1,0,0,4,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1
0,0,0,1,2,1,0,2,1,4,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,0,2,0,1,0,0,0,0,1,1,0,0,3,2,1,0,0,0,0,1,1,0,0,0,1,1,0
0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,2,0,0,0,0,1,0,1,1,0,0,0,0,3,0,5,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,1,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,3,2,0,0,1,2,0,0,1,0,0,0,0,2,0,1,1,0,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,1
2,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,0,2,1,0,1,1,2,1,0,1,0,2,2,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,1,0
0,0,3,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,2,0,1,1,2,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2
0,2,0,0,2,0,1,1,0,0,2,0,0,1,2,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,3,1,1,1,0,2,0,0,0,1,0,0,1,0,0,1,0,0,1,2
0,0,0,1,1,0,1,1,2,0,1,1,3,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,3,1,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,1,1,1,3,2,0,0,3,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,1,0,1
0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,0,2,0,1,0,1,1,4,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,1,1,1,0,0,3,0,0,0,1,2,0,0,1,1,0,1,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,1,1,0,3,1,2,1,0,2,0,1,0,1,0,2,0,0,1,0,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,0,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,2,0,1,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,1,0,3,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,3,0,0,2,0,2,0,0,3,2,0,0,0,0,0,0,1,1,0,1,1
1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,2,2,1,2,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,1,1,0,0,1,3,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,3,0,0,2,2,1,1,0,0,0,4,0,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,3,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1
2,1,0,1,3,0,0,0,1,4,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,1,1,0,0,2,0,1,0,3,2,0,0,0,0,0,1,0,2,1,0,3,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,2,2,1,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,2,1,2,0,1,0,2,3,0,1,0,0,0,0,0,3
1,0,0,1,1,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,2,1,0,0,0,3,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1
0,3,2,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,2,0,0,0,3,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,0,2,1,0,1,1,1,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,2,4,1,1,0,2,0,0,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,2,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,2,2,1,2,1,0,0,0,0,1,1,1,1,1
2,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,3,0,1,1,0,2,1,0,2,1,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0
2,0,0,0,2,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,2,3,1,0,1,0,2,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,2
0,0,0,0,3,0,1,1,1,0,0,0,1,1,0,1,0,1,0,4,1,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,1,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1
0,0,1,2,0,0,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,1,0,4,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,1,0,2,0,2,1,1,0,2,0,0,0,1,0,0,2,0,1,2,0,4,0,1,2,0
0,0,1,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,2,0,0,0,2,0,0,2,1,2,0,0,0,0,3,0,0,1,1,0,0,2,2,0,1
1,1,0,2,0,1,0,0,2,2,1,1,1,1,1,0,1,0,0,0,2,0,0,2,1,0,1,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,1,3,0,0,0,0,0,0,2,1
1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,2,1,2,0,0,1,0,0,0,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,2
0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,2,1,1,0,1,3,2,2,3,1,3,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,2,0,0,0,1,3,1,0,2,0,1,1,1,0,1,0,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,2,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,2,4,1,0,1,2,1,3,0,0,1,1,1,1,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,1
0,1,0,2,1,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,1,2,0,0,0,3,1,0,0,3,0,0,0,2,1,1,0,3,1,2,0,0,0,0,1,0,0,1
2,0,1,0,0,0,0,1,0,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,2,0,2,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,3
0,0,1,0,0,0,1,0,2,0,0,0,1,2,1,2,2,0,1,2,1,1,1,1,0,1,0,1,0,2,2,1,1,0,0,0,0,0,1,0,2,0,0,1,0,0,1,0,1,1,0,1,1
0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,0,1,0,0,1,1,1,1,2,1,1,1,0,2,1,0,0,1,1,0,0,0,0,2,0
0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,3,1,0,2,2,0,0,1,2,0,2,0,2,0,0,0,0,4,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,2,1,1
2,2,2,0,1,1,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,0,0,1,0,3,2,0,1,1,0,0,1,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,2,0,1,1,0,1,0,2,0,1,0,0,0,2,1,0,1,0,1,1,1,0,0,3,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,0,0,0,4,2,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,2,2,1,0,1,1,0,1,2,1,1,0
0,1,0,0,0,3,2,0,2,0,0,2,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0
0,0,1,1,0,0,1,2,0,0,0,2,1,0,0,0,1,0,1,2,2,0,2,0,1,1,1,3,0,1,1,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,1,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,3,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,1,2,1,0,1,1,1,1,2,0,0,1,1,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,1,1
1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,3,0,2,1,0,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,1,2,0,0,0
0,0,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,0,2,1,0,1,0,0,2,1,0,1,1,0,4,2,1,2,0,0,1,1,0,0,0,1,0,1
0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,2,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,1,2,1,1,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,2,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,1,3,0,0,0,1,1,1,3,0,1,1,0,0,1,0,2,0
3,0,0,0,1,0,3,0,2,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,1,0,0,3,0,0,2,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0
1,0,0,0,1,0,2,0,1,1,0,2,0,2,0,0,2,2,1,1,0,4,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,0,0,2,0,0,0,0,0,0,1,1
0,0,0,1,2,1,0,2,1,4,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,1,2,0,1,0,0,0,0,1,1,0,0,3,2,1,0,0,0,0,1,1,0,0,0,1,2,0
0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,3,0,5,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,1,1,0,0
1,1,1,0,0,0,0,3,0,0,0,1,1,1,0,3,2,0,0,1,2,0,0,1,0,0,0,0,2,0,2,1,0,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,2
2,1,0,0,1,0,0,0,1,5,0,1,0,0,1,0,0,0,0,1,1,2,1,0,1,1,2,1,0,1,0,2,2,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0
0,0,3,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,2,1,1,1,2,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,2
0,3,0,0,2,0,1,1,0,0,2,0,0,1,2,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,3,1,1,1,0,3,0,0,0,1,0,0,1,0,0,1,0,0,1,2
0,0,0,1,1,0,1,1,2,0,2,1,3,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,3,1,1,0,1,2,1,0,0,0,0,0,0
1,0,0,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,1,1,1,3,2,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,1,0,2
0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,2,0,1,0,1,2,4,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,1,1,1,0,0,3,0,0,0,1,3,0,0,1,1,0,1,1,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1
1,0,0,1,1,0,3,1,3,1,0,2,0,1,0,1,0,2,0,0,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,0,1,2,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,1,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,0,2,0,2,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,1,0,3,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,3,0,0,2,0,2,0,0,4,2,0,0,0,0,0,0,1,1,0,1,2
1,1,0,0,0,0,0,0,1,2,0,1,0,1,0,0,3,2,1,2,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,1,1,0,0,1,3,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,1,2,1,0,0,3,0,0,2,2,1,1,0,0,0,4,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,4,0,1,0,1,1,1,0,0,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1
2,1,0,1,3,0,0,0,1,5,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,2,0,0,0,0,0,1,0,2,1,0,3,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,2,2,1,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,0,2,1,2,0,1,0,2,3,0,1,0,0,0,0,0,4
1,0,0,1,3,0,2,0,0,0,1,2,1,0,2,0,1,1,2,0,0,0,1,1,2,1,0,0,0,3,0,0,1,0,0,1,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1
0,3,2,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,4,1,1,2,1,0,0,3,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,0,1,0,0,1,0,0,1,0,1,2,1,0,1,1,1,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,3,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,2,2,2,2,1,0,0,0,0,1,1,1,1,1
2,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,3,0,1,1,0,2,1,0,2,1,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0
2,0,0,0,3,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,2,0,0,0,2,3,2,0,1,0,2,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,2
0,0,0,0,3,0,1,1,1,0,0,0,1,1,0,1,0,1,0,4,2,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,2,1,0,0,0,0,1,1,0,0,1
0,0,1,2,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,2,0,4,1,2,0,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,1,0,2,0,2,2,1,0,2,0,0,0,1,0,0,2,0,1,2,0,4,0,1,3,0
0,1,1,1,0,2,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,2,0,0,0,2,0,0,2,1,2,0,0,0,0,3,0,0,1,1,0,0,2,3,0,1
1,1,0,2,0,1,0,0,2,2,1,1,1,1,1,0,1,0,0,0,2,1,0,2,1,0,2,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,1,3,0,0,0,0,0,0,2,1
1,2,0,1,1,0,1,0,1,2,0,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,2,1,2,0,0,1,0,1,1,1,2,0,1,0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,2
0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,2,1,1,0,1,3,2,2,3,1,3,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,2,0,0,0,1,3,1,0,2,0,1,1,1,0,1,0,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,4,0,1,1,0,0,0,2,1,1
0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,2,4,1,0,1,2,1,3,0,0,1,1,1,1,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,3
0,1,0,2,1,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,0,1,2,0,0,0,3,1,0,0,3,0,0,0,2,1,1,0,4,1,2,0,0,0,0,1,0,0,1
2,0,1,0,0,0,1,1,1,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,2,0,2,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,3
0,0,1,0,0,0,1,0,2,0,0,0,1,2,1,2,2,0,1,2,1,1,1,1,0,1,0,1,0,2,2,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,1,2
0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,0,1,0,0,1,1,1,2,2,1,1,1,0,2,1,0,0,1,2,0,0,0,0,2,0
0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,3,1,0,2,2,0,0,1,3,0,2,0,2,0,0,0,0,4,0,0,0,0,2,0,1,1,1,0,0,0,1,0,0,0,1,2,1,1
2,2,2,0,1,1,2,0,1,0,0,1,0,1,1,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,1,0,3,2,0,1,1,0,1,1,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,2,0,1,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,1,1,0,0,3,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,1,0,0,4,2,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,2,2,1,0,1,1,0,1,2,1,1,0
0,1,0,0,0,3,2,0,2,0,0,2,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,0
0,0,1,1,0,0,1,3,0,0,0,2,2,0,0,0,1,0,1,2,2,0,2,0,1,1,1,3,0,1,1,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,1,0,0,0,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,2,0,1,1,1,1,3,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,1,2,1,0,2,1,1,1,2,0,0,2,1,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,2,0,0,0,1,1,1
1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,3,0,2,2,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,1,2,0,0,0
0,1,1,1,1,0,0,0,1,0,2,0,0,0,1,0,1,2,1,1,0,0,1,0,0,1,0,2,1,0,1,0,0,2,1,0,1,1,0,4,2,1,2,1,0,1,1,0,0,0,1,0,1
0,1,0,1,1,0,1,0,2,0,0,1,0,1,2,0,0,0,2,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,1,2,1,1,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,2,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,0,1,1,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,0
3,0,0,0,1,0,3,0,2,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,2,0,0,3,0,1,2,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0
1,0,0,0,1,0,2,0,1,1,0,3,0,2,0,0,2,2,1,1,0,4,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,0,0,2,0,0,0,0,0,1,1,1
0,0,0,1,2,1,0,2,1,4,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,1,1,0,0,3,2,1,0,0,1,0,1,1,0,0,0,1,2,0
0,1,2,1,2,1,0,1,0,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,3,0,5,0,0,0,1,0,0,0,1,2,2,0,0,0,1,0,2,0,1,1,1,0,0
1,1,1,0,1,0,0,3,0,0,0,1,1,1,0,3,2,0,0,1,2,1,0,1,0,0,0,0,2,0,2,1,0,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,2
2,1,0,0,1,0,0,0,1,5,0,1,0,1,1,0,0,1,0,1,1,2,1,0,1,1,2,1,0,1,0,2,2,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0
0,0,3,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,2,1,1,1,2,1,0,1,0,0,1,1,0,0,0,2,0,0,1,0,0,1,1,1,1,0,0,0,2,1,1,2
0,3,0,0,2,0,1,1,0,0,2,0,0,1,2,1,0,1,1,1,0,0,1,0,1,0,2,0,1,1,0,0,1,3,1,1,1,0,3,0,0,0,1,0,0,1,0,0,1,0,0,1,2
1,0,0,1,1,0,1,1,2,0,2,2,3,1,1,2,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,3,1,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,0,3,0,0,0,0,1,0,2,0,1,1,1,1,3,0,0,0,0,1,1,2,3,2,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,1,1,1,0,2
0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,1,1,1,0,0,3,0,0,0,1,3,0,0,1,1,0,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1
1,0,0,1,1,0,3,1,3,1,0,2,0,1,0,1,0,2,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,0,1,1,1,2,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,2,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,2,0,1,0,1,2,0,2,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,1,0,3,0,0,0,0,2,1,2,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,3,0,0,3,0,2,0,0,4,2,0,0,0,0,0,0,1,1,0,1,2
1,1,0,0,0,0,0,0,2,2,0,1,1,1,0,0,3,2,1,2,1,0,0,1,0,0,0,1,0,1,1,1,0,0,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,1,1,0,0,1,3,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,3,0,0,2,2,1,1,0,0,0,4,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,4,0,1,0,1,1,1,0,0,2,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,0,1,0,1,0,0,2,1
2,1,0,1,3,0,0,0,2,5,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,1,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,3,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,2,2,1,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,1,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,2,1,2,0,1,1,2,3,0,1,0,0,0,0,0,4
1,0,0,1,3,0,2,0,0,0,1,2,1,0,2,0,1,1,3,0,0,0,1,1,2,1,0,0,0,3,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1
0,3,2,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,4,1,1,2,1,0,0,3,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,1,1,0,0,1,0,0,1,1,1,2,1,0,1,1,1,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,3,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,1,0,0,0,2,2,2,2,1,0,0,0,0,1,2,1,1,1
2,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,3,0,1,1,0,2,1,0,2,1,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0
2,0,0,0,3,0,0,1,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,2,2,0,0,0,2,3,2,0,1,0,2,0,1,0,2,1,1,0,1,1,1,1,0,0,1,0,1,2
0,0,0,0,3,0,1,1,1,0,0,0,1,1,0,1,0,1,1,4,2,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,2,1,0,0,1,0,1,1,0,0,1
0,0,2,2,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,0,0,2,1,0,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,2,0,4,1,2,1,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,2,0,0,0,1,0,0,2,0,2,2,0,4,0,1,3,0
0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,2,0,0,1,2,0,0,2,1,2,0,0,0,0,3,0,0,1,1,0,0,2,3,0,1
1,1,0,2,0,1,0,1,2,2,1,1,1,1,1,0,1,0,0,0,2,1,0,2,1,0,2,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,1,1,0,1,0,1,2,0,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0
1,0,2,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,2,2,1,2,0,0,1,0,1,1,1,2,0,1,0,3,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,2
0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,2,1,1,0,1,3,2,2,4,1,3,0,2,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,1,0,1,0,1,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,4,0,1,1,0,0,0,2,2,1
0,1,0,0,1,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,3,4,1,0,1,2,1,3,0,0,1,1,1,1,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,3
0,1,0,2,1,0,1,1,1,0,0,0,0,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,3,1,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,1
2,0,1,0,0,0,2,1,1,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,2,1,1,0,0,0,0,1,0,3
0,0,1,0,0,0,1,0,2,0,2,0,1,2,1,2,2,0,1,2,1,1,1,1,0,1,0,1,0,2,2,1,1,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,1,2
0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,0,1,0,0,2,1,1,2,2,1,1,1,0,2,1,0,0,1,2,0,0,0,0,3,0
0,0,0,1,0,0,1,1,1,0,1,0,0,0,2,3,1,0,2,2,0,0,1,3,0,2,0,2,0,0,0,0,4,0,0,0,0,2,0,1,1,1,0,0,0,1,1,0,0,1,2,1,2
2,2,2,0,1,1,2,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,0,0,1,0,3,2,0,1,1,0,1,1,0,1,1,0,0,1,0,2,1
1,1,0,1,1,0,1,2,0,1,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,1
0,0,1,1,0,1,0,0,4,2,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,2,2,2,0,1,1,0,1,2,1,1,0
0,1,0,0,0,3,2,0,2,0,0,4,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,0
0,0,1,1,0,0,1,3,0,0,0,2,2,0,0,0,1,0,1,2,2,0,2,0,1,1,1,3,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,1,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,1,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,1,2,1,0,2,2,1,1,2,0,0,2,1,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,3,0,0,0,1,1,1
2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,3,0,2,2,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,1,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,1,1,0,0,1,0,0,1,0,2,1,0,1,0,0,2,1,0,1,1,0,4,2,1,2,1,0,1,1,0,0,0,1,0,1
0,1,0,1,2,1,1,0,2,0,0,1,0,1,2,0,0,0,2,2,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,1,2,1,1,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,3,1,0,1,1,2,0,0,0,1,1,0,0,0,0,1,1,0,1,1,2,0,0,0,1,1,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,3,0,2,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,2,0,0,3,0,1,3,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,2,1,1,0,4,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,0,0,3,0,0,0,0,0,1,1,1
0,0,0,1,3,1,0,2,1,4,1,0,0,0,2,0,0,0,0,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,1,1,0,0,3,2,1,0,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,3,0,5,0,0,0,1,0,0,0,1,2,3,0,0,0,1,0,2,0,1,1,1,0,0
1,1,1,0,1,0,0,3,0,0,0,1,1,1,0,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,2,1,1,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,2
2,1,0,0,1,0,0,0,1,5,0,1,0,1,1,0,0,1,0,1,1,2,1,0,1,1,2,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0
0,0,3,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,2,1,2,2,1,1,1,2,1,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,1,2,1,1,0,0,0,2,1,1,2
0,3,0,0,2,0,1,1,1,0,2,0,0,1,2,1,0,1,1,1,0,0,1,0,1,0,2,0,1,1,0,0,1,3,1,1,1,0,4,0,0,0,1,0,0,1,0,0,1,0,0,1,2
1,0,0,1,1,0,1,1,2,0,2,2,3,1,1,2,0,0,1,1,1,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,4,1,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,0,3,0,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,2,3,2,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,1,1,0,2
0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,2,0,2,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,0,2,0,1,1,1,0,0,3,1,0,0,1,3,0,0,1,1,0,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1
1,0,0,1,1,0,3,1,3,1,0,2,0,1,0,1,0,2,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,2,1,2,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,3,4,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,2,0,1,0,1,2,0,2,1,2,1,2,0,1,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,1,0,4,0,0,0,0,2,2,2,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,3,0,0,3,0,2,0,0,4,2,0,0,0,0,0,0,1,1,0,1,2
1,1,0,0,0,0,0,0,2,2,0,1,1,1,0,1,3,2,1,2,1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,2,1,0,0,1,3,0,0,0,0,1,2,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,3,0,0,2,2,1,1,0,0,0,5,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,4,0,1,0,1,1,1,1,0,3,0,1,0,0,0,2,1,0,0,1,0,2,0,0,0,0,1,0,1,0,0,2,1
2,1,0,1,3,0,0,0,2,5,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,3,1,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,3,1,1,1,0,0,0,1,0,0,0,0,1,1,0,1,2,2,1,0,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,2,1,2,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,2,1,2,0,1,1,2,3,0,1,0,0,0,1,0,4
1,0,0,1,3,0,2,0,0,0,1,2,1,0,2,0,2,1,3,0,0,0,1,1,2,1,0,0,0,3,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,1,0,2,1,0,0,1
0,3,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,1,1,2,1,0,0,3,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,0,1,0
0,0,1,1,1,0,0,1,0,0,1,2,1,2,1,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,1,0,0,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,3,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,1,0,0,1,0,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,3,0,1,1,0,2,2,0,2,1,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,2,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,0,0,0,1,0,0,1,0,1,0,1,0,0,2,2,0,0,0,2,3,2,0,1,0,2,0,1,0,2,1,1,0,1,1,1,1,0,0,1,0,1,2
0,0,0,0,3,0,1,2,1,0,0,0,1,1,0,1,0,1,1,4,2,1,0,2,0,0,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,2,1,0,0,1,0,1,2,0,0,1
0,0,2,2,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,2,1,1,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,2,0,4,1,2,1,0
0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,3,0,0,0,1,0,0,2,0,2,2,0,4,1,1,3,0
0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,3,0,1,1,2,0,0,2,0,0,1,2,0,0,3,2,2,0,0,0,0,3,0,0,1,1,0,0,2,3,0,1
1,1,0,2,0,1,1,1,2,2,1,1,1,1,1,0,2,0,0,0,2,1,0,2,1,0,2,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,0,1,0,1,2,0,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0
1,0,2,0,1,1,1,0,1,2,0,1,1,0,0,1,1,0,1,2,2,1,3,0,0,1,0,1,1,1,2,0,1,0,3,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,2
0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,2,1,1,0,1,3,2,2,4,1,3,0,2,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,2,0,1,0,2,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,4,0,1,1,0,0,0,2,2,1
0,1,0,0,1,1,1,2,2,0,0,0,0,0,1,0,1,0,0,0,3,4,1,0,1,3,1,3,0,0,1,1,1,1,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,1,3
0,1,0,2,2,0,1,1,1,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,3,1,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,1
2,0,1,0,0,0,3,1,1,0,2,1,1,1,3,1,0,2,0,0,0,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,0,0,1,1,0,0,2,2,1,0,0,0,0,1,0,3
0,0,1,0,0,0,1,0,2,1,2,0,1,2,1,2,2,0,1,2,1,1,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,1,0,1,2
0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,0,2,0,0,2,1,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,3,0
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,1,0,2,2,0,0,1,3,0,2,0,2,0,0,0,0,4,0,0,0,0,2,1,1,1,1,0,0,0,1,1,0,0,1,2,1,2
2,2,2,0,1,1,2,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,1,0,1,0,3,2,0,1,1,0,1,1,0,1,1,0,1,1,0,2,1
2,1,0,1,1,0,1,2,0,1,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,1,2,1,0,0,1,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1
0,0,1,1,0,1,0,0,4,2,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,1,2,1,0,0,1,2,2,2,2,0,1,1,0,1,2,1,1,0
0,2,0,0,0,4,2,0,2,0,0,4,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,0,0,1,0,3,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,0
0,0,1,1,0,0,1,3,0,0,0,2,2,0,1,0,1,0,1,2,2,0,2,0,1,2,1,3,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,1,0,1,0,0,0,1
0,2,1,0,0,0,3,2,0,1,2,1,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,0,0,1,1,2,1,0,1,0,0,1,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,1,2,1,0,2,2,1,1,2,0,0,2,2,0,0,0,0,0,1,1,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,3,0,0,1,1,1,1
2,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,3,0,2,2,0,0,1,1,0,1,1,0,1,2,1,1,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,2,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,0,1,0,2,1,0,1,0,0,2,1,0,1,1,0,4,2,1,2,1,0,1,1,0,0,0,1,0,1
0,1,1,1,2,1,1,0,2,0,0,1,0,1,2,0,0,0,2,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,2,1,0,1,2,1,1,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,3,2,0,1,1,2,0,0,0,1,1,0,0,0,0,2,1,0,1,1,2,0,0,0,1,1,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,4,0,3,0,0,0,0,0,1,0,3,0,1,0,1,0,1,0,0,2,1,2,0,0,3,0,1,3,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,0,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,2,1,1,0,4,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,1,1,3,0,0,0,0,0,1,1,1
0,0,0,1,3,1,0,2,1,4,1,0,1,0,2,0,0,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,1,1,0,0,3,2,1,0,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,0,0,1,1,2,0,2,0,0,1,0,1,1,0,0,0,0,3,0,5,1,0,0,1,0,0,0,1,2,3,0,0,0,1,0,2,0,2,1,1,0,0
1,1,1,1,1,0,0,3,0,0,0,1,1,1,0,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,1,1,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,0,0,0,2
2,2,0,0,1,0,0,0,1,5,0,1,0,1,1,0,0,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0
0,0,3,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,2,1,2,2,1,1,1,2,1,0,1,0,0,1,1,0,0,1,2,0,0,1,0,0,1,2,1,2,0,0,0,2,1,1,2
0,3,0,0,2,0,1,1,1,0,2,0,0,1,2,1,0,1,1,1,0,0,2,0,1,0,2,0,1,1,0,0,1,3,1,1,1,0,4,0,0,0,1,0,0,1,1,0,1,0,0,1,2
1,1,0,1,1,0,1,1,2,0,2,2,3,1,1,2,0,0,1,1,2,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,4,1,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,0,3,0,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,3,3,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,1,1,1,0,2
0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,1,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,1,2,0,1,1,1,0,0,3,1,0,0,1,4,0,0,1,1,0,1,2,2,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,1,1
1,0,0,1,1,0,4,1,3,1,0,2,0,1,0,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,2,1,2,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,3,4,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,2,0,1,0,1,2,0,2,1,2,1,2,0,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,1,0,4,0,0,0,0,2,2,2,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,3,0,0,3,0,2,0,0,4,2,0,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,2,2,0,1,1,1,0,1,3,2,2,2,1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,2,1,0,0,1,3,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,3,0,0,2,2,1,1,1,0,0,5,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,1,1,4,1,1,0,1,1,1,1,0,3,0,1,0,0,0,2,1,0,0,1,1,2,0,0,0,0,1,0,1,0,0,2,1
2,1,1,1,3,0,0,0,2,5,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,3,2,1,0,1,1,0,2,1,1,0,0,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,3,1,2,1,0,0,0,1,0,0,0,0,1,1,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,0,2
1,0,1,0,0,3,0,0,0,0,2,2,1,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,3,1,2,0,1,1,2,3,0,1,0,0,0,1,0,4
2,0,0,1,3,0,2,0,0,0,1,2,2,0,2,0,2,1,3,0,0,0,1,1,2,1,0,0,0,3,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,1,0,2,1,0,0,1
0,3,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,1,1,2,1,0,0,3,1,0,1,0,2,1,0,1,0,0,0,0,0,0,1,2,1,0,2,0,1,2,0
0,0,1,1,1,0,0,1,0,0,1,2,1,2,1,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,1,1,1,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,0,0,3,2,0,0,3,0,1,3,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,0,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,3,0,1,1,0,2,2,0,2,2,1,1,0,1,3,2,0,0,0,0,0,0,1,0,1,0,3,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,0,2,2,0,0,0,2,3,2,0,1,0,2,0,1,1,2,1,1,0,1,1,1,1,0,0,1,0,1,2
1,0,0,0,3,0,1,2,1,0,0,0,1,1,0,1,0,1,1,4,2,1,0,2,0,1,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,2,1,0,0,1,0,1,2,0,0,1
0,0,2,2,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,2,1,1,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,3,0,4,2,2,1,0
0,1,1,0,0,1,0,0,0,0,0,1,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,3,0,0,0,1,0,0,2,0,2,2,0,4,1,1,3,0
0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,1,0,0,1,3,0,1,2,2,0,0,2,0,0,1,2,0,0,4,2,2,0,0,0,0,3,0,0,1,1,0,0,2,3,0,1
1,1,0,2,0,1,1,1,2,2,1,1,1,1,1,0,2,0,1,0,2,1,0,2,2,0,2,0,0,0,2,0,0,1,1,0,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,0,1,0,1,2,1,0,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,2,2,1,3,0,0,1,0,1,1,1,2,0,1,0,3,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,1,2
0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,1,3,2,2,4,1,3,0,2,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,3,0,1,0,2,1,3,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,1,1,0,0,0,2,2,1
0,1,0,0,1,1,2,2,2,0,0,0,0,0,1,0,1,0,0,0,3,4,1,0,1,3,1,3,0,0,1,1,1,1,0,2,1,0,3,0,2,0,0,0,0,0,0,0,0,0,1,1,3
0,1,0,2,2,0,2,1,1,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,4,1,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,1
2,0,1,0,0,0,3,1,1,0,2,1,1,1,3,1,0,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,2,1,0,0,0,0,1,0,3
0,0,1,0,0,0,1,0,2,1,2,0,1,2,1,2,2,0,1,2,2,1,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,1,0,0,1,0,1,1,0,1,2
0,2,1,0,2,0,1,0,0,0,0,0,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,1,2,0,1,2,1,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,3,0
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,1,0,2,2,0,0,2,3,0,2,0,2,0,0,0,0,4,0,0,0,0,2,1,1,1,1,0,0,0,2,1,0,0,1,2,1,2
2,2,2,0,1,2,2,0,1,0,0,1,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,0,2,1,1,1,1,0,3,2,0,1,1,0,1,1,0,1,1,0,1,1,0,2,1
2,1,0,1,1,0,1,2,0,1,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,1,3,1,0,1,1,1,1,0,1,0,1,0,0,0,2,0,1,0,1,0,1
0,0,1,1,0,1,0,0,4,2,2,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,2,2,1,0,0,1,2,2,2,2,0,1,2,0,1,2,1,1,0
0,2,0,0,0,4,2,0,2,0,0,4,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,2,1,1,0
0,0,1,1,1,0,1,3,0,0,0,2,2,0,1,0,1,0,1,2,2,0,2,0,1,2,1,3,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1
0,2,1,0,0,0,3,2,0,3,2,1,0,0,1,0,0,0,1,2,1,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,0,0,1,1,2,1,0,1,0,0,1,0,1,0,2
2,0,1,0,0,0,0,1,0,1,1,2,2,1,0,2,2,1,1,2,0,0,2,2,0,0,0,0,0,1,2,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,3,0,0,1,1,1,1
2,0,0,1,0,0,0,0,1,1,1,1,2,0,1,1,0,3,0,2,2,0,0,1,1,0,1,1,0,1,2,1,2,1,1,0,0,2,1,0,1,2,0,1,2,0,1,0,2,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,0,1,0,2,1,0,1,0,0,2,1,0,1,2,0,4,2,1,2,2,0,1,1,0,0,0,1,0,1
0,1,1,1,2,1,1,0,3,0,0,1,0,1,2,0,0,0,2,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,2,2,0,1,2,1,1,1,0,1,2,1,1,0
0,0,1,0,0,2,2,1,0,0,3,2,0,1,1,2,0,0,0,1,1,1,0,0,0,2,1,0,1,1,2,0,0,0,1,2,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,4,0,3,0,0,0,0,0,1,1,3,0,1,0,1,0,1,0,0,2,1,2,0,0,3,0,1,3,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,2,1,1,0,4,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,2,1,1,1,1,1,3,0,0,0,0,0,1,2,1
0,0,0,1,3,1,0,2,1,4,1,0,1,0,2,0,1,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,0,0,2,1,0,0,3,2,1,0,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,0,0,1,1,2,0,2,1,0,1,0,2,1,0,0,0,0,3,0,5,1,0,0,1,0,0,0,1,2,3,0,0,0,1,0,2,0,2,1,1,0,0
1,1,1,1,1,0,0,3,1,0,0,1,1,1,0,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,1,1,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,1,0,0,2
2,2,0,0,1,0,0,1,1,5,0,1,0,1,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,2,0
0,0,3,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,2,1,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,2,0,0,1,0,0,1,2,1,2,0,0,0,2,1,1,2
0,3,0,0,2,0,1,1,1,0,2,0,0,1,2,1,0,1,1,1,0,0,2,1,1,0,3,0,1,1,0,0,1,3,1,1,1,0,4,0,0,0,1,0,0,1,1,0,1,0,0,1,2
1,1,0,1,1,0,1,1,2,1,2,2,3,1,1,2,0,0,1,1,2,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,4,1,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,0,3,0,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,3,3,0,0,4,0,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,1,1,0,2
1,0,0,0,0,0,1,1,0,2,0,0,1,1,1,0,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,1,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,0,2,1,1
2,2,0,1,0,1,2,1,2,1,0,0,0,1,1,2,0,1,1,1,0,0,4,1,0,0,1,4,0,0,1,1,0,1,2,2,1,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,1
1,0,0,1,1,0,4,2,3,1,0,2,0,1,0,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,2,1,3,0,1,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,3,4,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,2,0,1,1,1,2,0,2,1,2,2,2,0,1,0,0,0,1,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,2,0,4,0,0,0,0,2,2,2,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,3,0,0,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,2,2,0,1,1,1,1,1,3,2,2,2,1,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,2,2,0,0,1,3,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,2,2,1,0,0,4,0,0,2,2,1,1,1,0,0,5,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,1,0,3,0,1,0,0,0,2,1,0,0,1,1,2,0,0,0,0,1,0,1,0,0,2,1
2,1,1,1,3,0,1,0,2,5,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,1,0,0,1,1,3,2,1,0,1,1,0,2,1,1,0,1,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,3,1,2,1,0,0,0,1,0,0,0,0,2,1,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,1,2
2,0,1,0,0,3,0,0,0,0,2,2,1,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,1,0,1,1,3,1,2,1,1,1,2,3,0,1,0,0,0,1,0,4
2,0,0,1,3,0,2,0,0,0,1,2,2,0,2,1,2,1,3,0,1,0,1,1,2,1,0,0,0,3,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,1,0,2,1,0,0,1
0,3,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,1,1,2,1,0,0,3,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,1,2,0
0,0,1,1,1,0,0,1,0,1,2,2,1,2,1,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,1,1,1,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,0,0,1,0,3,2,0,0,3,0,1,3,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,2,2,0,2,2,1,1,0,1,3,2,0,0,0,1,0,0,1,0,1,0,3,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,1,2,2,0,0,0,2,3,2,0,1,0,2,0,1,1,2,1,1,0,1,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,1,2,1,0,0,0,1,1,0,1,0,1,1,4,2,1,0,2,0,1,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,2,1,0,0,1,0,1,4,0,0,1
1,0,2,2,0,0,2,0,1,0,0,1,1,0,2,1,0,0,0,1,0,0,1,0,2,1,1,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,4,0,4,2,2,1,0
0,1,1,0,0,1,0,0,0,0,0,2,1,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,3,0,0,0,1,0,1,2,0,2,2,0,4,1,1,3,0
0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,2,0,0,1,3,0,1,2,2,0,0,2,0,0,1,2,0,1,4,2,2,0,0,0,0,3,0,0,1,1,0,0,2,3,0,1
1,1,0,2,0,1,1,1,2,2,2,1,1,1,1,0,2,0,1,0,2,1,0,2,2,0,2,0,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,0,1,0,1,2,1,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,0,1,3,1,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,2,2,1,3,0,0,1,0,1,1,2,2,0,1,0,3,0,0,0,0,2,0,0,0,0,2,0,1,0,1,2,0,1,2
1,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,1,3,2,3,4,1,3,0,2,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,3,0,1,0,2,1,3,0,0,0,0,2,0,0,0,1,0,0,0,0,4,1,1,1,0,0,0,3,2,1
0,1,0,1,1,1,2,2,2,0,0,0,0,0,1,1,1,0,0,0,3,4,1,0,1,3,1,3,0,0,1,1,1,1,0,2,1,0,3,0,2,0,0,0,0,0,0,0,0,0,1,1,3
0,1,0,2,2,0,2,1,1,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,5,1,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,0,3,1,1,0,2,1,1,1,3,1,0,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,2,1,0,0,0,0,1,1,3
0,1,1,0,0,0,1,0,2,1,2,0,1,2,1,2,2,0,1,2,2,1,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,1,0,0,1,0,2,1,0,1,2
0,2,1,0,2,0,1,0,0,0,0,1,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,1,2,0,1,2,1,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,4,0
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,1,0,2,2,0,0,2,3,0,2,0,2,0,0,1,0,4,0,0,0,0,2,1,1,1,1,0,0,0,2,1,0,0,1,2,2,2
2,2,2,0,1,2,2,0,1,0,0,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,1,1,1,0,3,2,0,1,1,0,1,1,0,1,1,0,1,1,0,2,1
2,1,1,1,1,0,1,2,0,1,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,1,3,1,0,1,1,1,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1
0,0,1,1,0,1,0,0,4,2,3,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,2,2,1,0,0,1,3,2,2,2,0,1,2,0,1,2,1,1,0
0,2,0,0,0,4,2,0,2,0,0,4,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,0
0,0,1,1,1,0,1,3,0,0,0,2,2,0,1,0,1,0,1,2,3,0,2,1,1,2,1,3,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1
0,2,1,0,0,0,3,2,0,3,2,1,0,0,1,0,0,0,1,2,2,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,1,0,1,1,2,1,0,1,0,0,1,0,1,0,2
2,0,1,0,0,0,0,2,0,1,1,2,2,1,0,2,2,1,1,2,0,0,2,2,0,0,0,0,0,1,2,0,2,2,0,0,1,1,1,1,1,0,1,0,1,0,3,0,0,1,2,1,1
2,0,0,1,0,0,0,0,1,1,1,1,2,0,1,1,0,3,0,2,2,0,0,1,1,0,1,1,0,1,2,1,2,1,1,0,0,2,1,0,1,2,0,1,3,0,2,0,2,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,0,1,0,2,1,0,1,0,0,2,1,0,2,2,0,4,2,1,2,2,0,2,1,0,0,0,1,0,1
0,1,1,1,2,1,1,0,3,0,0,1,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,1,2,2,0,1,2,1,1,1,0,1,2,1,1,1
0,0,1,0,1,2,2,1,0,0,3,2,0,1,1,2,0,0,0,1,1,1,0,0,0,2,2,0,1,1,2,0,0,0,1,2,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,4,0,3,0,0,0,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,0,3,0,1,3,1,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,2,1,1,0,4,1,0,1,1,1,0,2,1,0,0,0,1,0,0,1,1,2,1,1,1,1,1,3,0,0,0,0,0,1,2,1
0,0,0,1,3,2,0,2,1,4,1,0,1,0,2,0,1,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,1,0,2,1,0,0,3,2,1,0,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,0,2,1,0,1,0,2,1,0,0,0,0,3,0,5,1,0,0,1,0,0,0,1,2,3,1,0,0,1,0,2,0,2,1,1,0,0
1,2,1,1,1,0,0,3,1,0,0,1,1,1,0,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,2,1,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,1,0,0,2
2,2,0,0,1,0,0,1,1,5,0,1,0,2,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,2,0
0,0,4,1,1,0,1,0,0,0,0,0,0,2,1,0,0,1,2,1,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,2,0,0,1,0,0,1,2,1,2,0,0,0,3,1,1,2
0,3,0,0,2,1,1,1,1,0,2,0,1,1,2,1,0,1,1,1,0,0,2,1,1,0,3,0,1,1,0,0,1,3,1,1,1,0,4,0,0,0,1,0,0,1,1,0,1,0,0,1,2
1,1,0,1,2,0,1,1,3,1,2,2,3,1,1,2,0,0,1,1,2,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,4,1,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,0,3,1,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,3,3,1,0,4,0,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,1,1,0,2
1,0,0,0,0,0,1,1,0,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,1,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,0,3,1,1
2,2,0,2,0,1,2,1,2,1,0,0,0,1,1,2,0,1,1,1,0,0,4,1,0,0,1,4,0,0,1,1,0,1,2,2,2,0,0,1,0,2,0,0,0,0,0,0,0,2,0,1,1
1,0,0,1,1,0,4,2,3,1,0,2,0,1,0,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,3,1,3,0,2,1,1,1,0,0,1,0,0,0,1
1,1,0,0,0,3,4,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,2,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
1,0,0,2,2,0,4,0,0,0,0,2,2,2,2,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,4,0,0,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,2,2,1,1,1,1,1,1,3,2,2,2,2,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,0,0,4,1,1,2,0,0,0,1,1,0,0,1,0,1,0
2,2,1,0,0,0,1,0,0,0,1,2,2,0,0,1,3,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,3,2,2,0,0,4,0,0,2,2,1,1,1,0,0,5,1,0,0,0
1,1,1,3,0,0,1,0,2,0,0,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,1,0,3,0,1,0,0,0,2,1,1,0,1,1,2,0,0,0,0,1,0,1,0,0,2,2
2,1,1,1,3,0,1,0,2,5,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,2,0,0,1,1,3,2,1,0,1,1,0,2,1,1,0,1,1,0,1,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,3,1,2,1,1,0,0,1,0,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,1,2
2,0,1,0,0,3,0,0,0,0,2,2,1,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,2,0,1,1,3,1,2,1,1,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,3,0,2,0,0,0,1,2,2,0,2,1,2,1,3,0,2,0,1,1,2,1,0,0,0,3,0,0,1,0,0,2,1,2,1,1,0,1,1,0,0,0,1,0,2,2,0,0,1
0,3,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,2,1,2,1,1,0,3,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,1,2,0
1,0,1,1,1,0,0,1,0,1,2,2,1,3,1,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,1,1,1,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,1,0,1,1,0
0,2,0,0,0,0,3,1,1,0,1,1,3,2,0,0,3,0,1,3,0,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,0,1,1,1,1,1,1,1,1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,2,2,0,2,2,1,1,0,1,3,2,1,0,0,1,0,0,1,0,1,0,4,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,1,2,2,0,0,0,2,3,2,0,1,0,2,0,1,1,3,1,1,1,1,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,1,2,1,0,0,0,1,2,0,1,0,1,1,4,2,1,0,2,0,1,2,2,1,2,1,0,0,1,0,0,2,2,0,0,0,0,3,1,0,0,1,0,1,4,0,0,1
1,0,2,2,0,0,2,0,1,0,0,1,1,0,3,1,0,0,0,1,0,0,2,0,2,1,1,2,1,2,1,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,4,0,4,2,2,1,0
1,1,1,0,0,1,0,0,0,0,0,2,2,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,3,0,0,0,1,0,1,2,0,2,2,0,4,1,1,3,0
0,1,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,2,0,0,1,3,0,1,2,2,0,0,2,0,1,1,2,0,1,4,2,2,0,0,0,0,3,0,0,1,1,0,0,3,3,0,1
1,1,1,3,0,1,1,1,2,2,2,1,1,1,1,0,2,0,1,0,2,1,0,2,2,0,2,0,0,0,2,0,0,1,1,1,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,0,1,0,1,2,1,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,2,1,3,1,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,3,2,1,3,0,0,1,0,1,1,2,2,0,1,0,3,0,0,0,0,2,0,0,0,0,2,0,1,0,1,2,0,2,2
1,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,2,3,2,3,4,1,3,0,2,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0
0,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,3,0,1,0,2,1,3,0,0,0,0,2,0,0,0,1,0,0,0,0,4,2,1,1,0,0,1,3,2,1
0,1,0,1,1,1,2,2,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,0,1,3,1,3,0,0,1,1,1,1,0,2,1,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,3
0,1,0,2,2,0,3,1,1,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,5,2,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,0,4,1,1,0,2,1,1,1,3,1,0,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,3,1,0,0,0,0,1,1,3
1,1,1,0,0,0,1,0,2,1,2,0,1,2,1,2,2,0,1,2,2,1,1,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,1,1,0,1,0,2,1,0,1,2
1,2,1,0,2,0,1,0,0,0,0,1,1,0,0,4,1,0,1,0,0,0,2,3,0,0,1,0,1,2,1,1,2,1,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,4,0
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,1,0,2,2,0,1,2,3,0,2,0,2,0,0,2,0,4,0,0,0,0,2,1,1,1,1,0,0,0,2,1,0,0,1,2,2,2
2,2,2,0,1,2,2,0,1,0,1,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,1,1,1,0,3,2,0,1,1,0,1,1,0,1,1,0,2,1,0,2,1
2,1,1,1,1,0,1,3,0,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,1,3,1,0,1,1,1,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1
1,0,1,1,0,1,0,0,4,2,3,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,3,2,1,0,0,1,3,2,2,2,0,1,2,0,1,2,1,1,0
0,2,1,0,0,5,2,0,2,0,0,4,1,1,0,1,1,2,0,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,0
0,0,2,1,1,0,1,3,0,0,0,2,2,0,1,0,1,0,1,2,3,0,2,1,1,2,1,4,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1
0,2,1,0,0,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,2,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,1,1,1,1,2,1,0,1,0,0,1,0,1,0,2
2,0,1,0,0,0,0,2,0,1,1,3,2,1,0,2,2,1,1,2,0,0,2,2,0,0,0,0,0,1,2,1,2,2,0,0,1,1,1,1,1,0,1,0,1,0,3,0,0,1,2,1,1
2,0,0,1,0,0,0,0,1,1,1,1,2,0,1,1,1,3,0,2,3,0,0,1,1,0,1,1,0,1,2,1,2,1,1,0,0,2,1,0,1,2,0,1,3,0,2,0,2,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,0,1,0,2,2,0,1,0,0,2,1,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,1,0,1
0,1,1,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,2,1,1,1,2,2,0,1,2,1,1,1,0,1,2,1,1,1
0,0,1,0,1,2,2,1,0,0,4,2,0,1,1,2,0,0,0,1,1,1,0,0,0,2,2,0,1,1,2,0,0,0,2,2,3,0,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,4,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,0,3,0,1,3,2,1,2,0,0,0,0,1,0,2,0,0,0,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,3,1,1,0,4,1,1,1,1,1,0,2,1,0,0,0,1,0,0,1,1,2,1,1,1,1,1,3,0,0,0,0,0,1,2,1
0,0,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,0,1,1,1,1,1,2,1,1,0,0,1,0,2,1,0,0,3,2,1,1,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,0,2,1,0,1,0,2,1,0,0,0,0,3,0,6,1,0,0,1,0,0,0,1,2,3,1,0,0,1,0,3,0,2,1,1,0,0
1,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,3,1,2,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,1,0,0,2
3,2,0,0,1,0,0,1,1,5,1,1,0,2,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,2,0
0,0,4,1,1,0,1,0,0,0,0,0,0,2,1,0,1,1,2,1,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,2,0,0,1,0,0,1,2,2,2,0,0,0,3,1,1,2
0,4,0,0,2,1,1,1,1,0,2,0,1,1,2,1,0,1,1,1,0,0,2,1,1,0,3,0,1,1,0,0,1,3,1,1,1,0,4,0,0,0,1,0,0,2,1,0,1,0,0,1,2
1,1,0,1,2,0,1,1,3,1,2,2,3,1,1,2,0,0,1,1,2,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,1,1,0,1,3,1,0,0,0,0,0,0
1,0,1,0,0,3,1,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,3,3,1,0,5,0,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,1,1,2,0,2
1,0,0,0,0,0,1,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,2,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,0,3,1,1
2,2,0,2,0,1,2,1,2,1,0,0,0,2,1,2,0,1,1,1,0,0,4,1,0,0,1,4,0,0,1,1,0,1,2,2,2,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,1
1,0,0,1,1,0,4,2,3,1,0,2,0,1,0,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,3,1,3,0,2,1,2,1,0,0,1,0,0,1,1
1,1,0,0,0,3,4,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,2,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
1,0,0,3,2,0,4,0,0,0,0,2,2,2,2,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,0,0,4,0,0,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,2,2,1,1,1,1,1,1,3,2,2,2,2,0,0,1,0,0,0,1,0,1,1,1,1,1,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,0
2,2,1,0,0,0,1,0,1,0,1,2,2,0,0,1,3,0,0,0,1,1,2,0,0,0,0,0,1,1,0,1,0,3,2,2,1,0,4,0,0,2,2,1,1,1,0,0,5,1,0,0,0
1,1,1,3,0,1,1,0,2,0,0,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,1,0,3,0,1,0,0,0,2,1,1,0,1,1,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,0,1,0,2,5,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,1,2,0,0,1,1,3,2,1,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,0,0,0,1,0,2,1,1,4,1,2,1,1,0,0,1,1,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,1,2
2,0,1,0,0,3,0,0,0,0,2,2,2,2,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,2,0,2,0,1,1,3,2,2,1,1,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,3,0,2,0,0,0,1,2,2,0,2,1,2,1,3,0,2,0,1,1,2,1,0,0,1,3,0,0,1,0,0,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,2,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,2,1,3,1,1,0,3,1,0,1,0,2,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,2,2,0
1,0,2,1,1,0,0,1,0,1,2,2,1,3,1,0,1,1,2,1,2,0,0,0,2,2,0,0,1,0,1,1,1,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,2,0,1,1,0
0,2,0,0,0,0,4,1,1,0,1,1,3,2,0,0,3,0,1,3,1,0,0,1,0,1,2,0,1,0,1,1,1,0,0,1,1,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,2,2,0,2,2,1,1,0,1,3,2,1,0,0,1,0,0,1,0,1,0,4,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,1,0,2,2,2,0,0,0,2,3,2,0,1,0,2,0,1,1,3,1,1,1,2,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,1,2,1,0,0,0,1,2,0,1,0,1,1,4,2,1,0,2,0,1,2,3,1,2,1,0,0,1,0,0,2,2,0,0,1,0,3,1,0,0,1,0,1,4,0,0,1
1,0,2,2,0,0,2,0,1,0,0,1,1,0,3,1,0,0,0,1,0,0,2,0,2,1,1,2,1,2,2,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,4,0,4,2,3,1,0
1,1,1,0,0,1,0,0,0,0,0,2,3,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,3,0,0,0,1,1,1,2,0,2,2,0,4,1,1,3,0
0,2,1,1,0,2,0,1,1,1,0,2,0,0,0,0,0,2,0,0,1,3,0,1,2,2,0,0,2,0,1,1,2,0,1,4,2,2,0,0,0,0,3,0,0,1,1,0,0,3,4,0,1
1,1,1,4,0,1,1,1,2,2,2,1,1,1,1,0,2,0,1,0,2,1,0,2,2,0,2,0,0,0,3,0,0,1,1,1,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,0,1,0,1,2,2,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,2,1,3,2,0,1,1,2,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,3,2,1,3,0,0,1,0,1,1,2,2,0,1,0,3,0,0,0,0,2,0,1,0,0,2,0,2,0,1,2,0,2,2
1,0,0,1,0,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,2,3,2,3,4,1,3,0,2,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0
1,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,3,0,1,0,2,1,3,0,0,0,0,2,0,0,1,1,0,0,0,0,4,2,1,1,0,0,1,3,2,1
0,1,0,1,1,1,2,2,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,0,1,3,2,3,0,0,2,1,1,1,0,2,1,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,3
0,1,0,2,2,0,3,1,1,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,0,4,1,1,1,2,1,1,1,3,1,0,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,1,0,0,2,3,1,0,0,0,1,1,1,3
1,1,1,0,0,0,1,0,2,1,2,0,1,2,1,3,2,0,1,2,2,1,2,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,1,1,0,1,0,2,1,0,1,2
1,2,1,0,2,0,1,0,0,0,0,1,1,0,0,4,1,0,1,0,0,0,2,4,0,0,1,0,1,2,1,1,2,2,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,4,0
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,1,0,2,2,0,1,2,3,0,2,0,2,0,0,2,1,4,0,0,0,0,2,1,1,1,1,0,1,0,2,1,0,0,1,2,2,2
2,2,2,1,1,2,2,0,1,0,1,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,1,1,1,0,3,2,0,1,1,0,1,1,0,1,2,0,2,1,0,2,1
2,1,1,1,1,0,1,3,0,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,1,1,1,1,1,1,0,1,0,0,0,2,0,1,0,1,0,1
1,0,1,1,0,1,1,0,4,2,3,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,3,2,1,0,0,1,3,2,2,2,0,1,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,0,1,1,2,1,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,2,1,1,0
0,0,2,1,1,0,1,3,0,0,0,2,2,1,1,0,1,0,1,2,3,0,2,1,1,2,1,4,0,1,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,1,0,1
0,2,1,0,0,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,2,1,1,0,1,1,0,0,0,1,2,0,1,1,1,2,3,0,1,1,1,1,2,2,0,1,0,0,1,0,1,1,2
2,0,1,0,0,0,0,2,0,1,1,3,2,1,0,2,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,1,2,2,0,0,1,1,1,1,1,1,1,0,1,0,3,0,0,1,2,1,1
2,0,0,1,0,0,0,0,1,1,1,1,2,0,2,1,1,3,0,2,4,0,0,1,1,0,1,1,0,1,2,1,2,1,1,0,0,2,1,0,1,2,0,1,3,0,2,0,2,2,0,0,0
0,1,1,1,1,0,1,0,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,1,1,0,2,2,0,1,0,0,2,1,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,1,1,1
0,1,2,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,2,2,1,1,2,2,0,1,2,1,1,1,0,1,2,1,1,1
0,0,1,0,1,2,2,1,0,0,4,2,0,1,1,2,0,0,0,1,1,1,0,0,0,2,2,0,1,1,3,0,0,0,2,2,3,1,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
3,1,0,0,1,0,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,0,3,0,1,3,2,1,2,0,0,0,0,1,0,2,0,0,1,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,3,1,1,0,4,1,1,1,2,1,0,2,1,0,1,0,1,0,0,1,1,2,1,1,1,1,1,3,0,0,0,0,0,1,2,1
0,0,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,0,1,2,1,2,1,2,1,1,0,0,1,0,2,1,0,0,3,2,1,1,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,0,1,0,2,1,0,0,0,0,3,0,6,1,0,0,1,0,0,0,1,2,3,1,0,0,1,0,3,0,2,1,1,0,0
1,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,3,1,3,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,1,0,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,2,0
0,0,4,1,1,0,1,0,0,0,0,0,0,3,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,2,0,0,1,0,0,1,2,2,2,0,0,0,3,1,1,2
0,4,0,0,2,1,1,1,1,0,2,0,1,1,2,1,0,1,1,1,0,0,2,1,1,0,3,0,1,1,0,0,1,3,2,1,1,0,4,0,0,0,1,0,0,2,1,0,1,1,0,1,2
1,1,0,1,2,0,1,1,3,1,2,2,3,1,2,2,0,0,1,1,2,1,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,1,1,0,1,3,1,0,0,0,0,0,0
1,0,1,0,0,3,1,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,4,3,1,0,5,0,0,0,1,0,0,1,0,1,1,0,0,2,0,2,0,0,2,1,2,0,2
1,0,0,0,0,0,1,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,2,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,1,3,1,2
2,2,0,2,0,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,0,4,1,0,0,1,4,0,0,1,1,0,1,2,2,2,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,1
1,0,0,1,1,0,4,2,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,3,1,3,1,2,1,2,1,0,0,1,0,0,1,1
1,1,0,0,0,3,4,0,1,1,1,1,1,1,1,1,2,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
1,0,1,3,2,0,4,0,0,0,0,2,2,2,2,0,0,0,0,1,0,1,1,2,0,0,1,1,0,1,0,0,4,0,1,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,2,2,1,1,1,1,1,1,3,2,2,2,2,0,0,1,0,0,1,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,0
2,2,1,0,0,0,1,0,1,0,1,2,2,0,0,1,3,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,3,2,2,1,0,4,0,0,2,2,1,1,1,0,0,5,2,0,0,0
1,1,1,3,0,1,1,0,2,0,0,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,0,3,0,1,0,0,0,2,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,0,1,0,2,5,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,0,1,2,3,2,1,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,2,1,1,4,1,2,1,1,0,0,2,1,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,1,2
2,0,1,0,0,3,0,0,0,0,2,2,2,2,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,0,1,1,3,2,2,1,1,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,3,0,2,1,0,0,1,2,2,0,2,1,2,1,3,0,2,0,1,1,2,1,0,0,1,3,0,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,2,1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,4,2,1,3,1,1,0,3,1,0,1,1,2,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,2,2,0
1,0,2,1,1,0,0,1,0,1,2,2,1,3,1,0,1,1,2,2,2,0,0,0,2,2,0,0,1,0,1,1,2,0,1,0,1,0,2,4,1,1,0,2,0,1,2,0,2,0,1,1,0
0,2,0,0,0,0,4,1,1,0,1,1,3,2,0,0,3,0,1,3,1,1,0,1,0,1,2,0,1,0,2,1,1,0,0,1,1,1,0,2,2,2,3,1,0,0,0,0,1,2,1,1,1
2,0,0,1,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,4,0,1,1,0,2,2,1,2,2,1,1,0,1,3,2,1,0,0,1,0,0,1,0,1,0,4,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,2,0,2,2,2,0,0,0,2,3,2,0,1,0,2,0,2,1,3,1,1,1,2,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,1,2,1,0,0,0,1,2,0,1,0,1,1,4,2,1,0,2,0,2,2,3,1,2,1,0,0,1,1,0,2,2,0,0,1,0,3,1,0,0,1,0,1,4,0,0,1
1,0,2,2,0,0,2,0,1,0,0,1,1,0,3,1,1,0,0,1,1,0,2,0,2,1,1,2,1,2,2,1,0,1,1,0,1,0,2,0,0,0,0,0,1,1,4,0,4,2,3,1,0
1,1,1,0,0,1,0,0,0,0,0,2,3,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,1,0,4,0,0,0,1,1,1,2,0,2,2,0,5,1,1,3,0
0,2,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,1,3,0,1,2,2,0,0,2,0,1,1,2,0,1,4,2,2,0,0,0,1,3,0,0,1,1,0,0,3,4,0,1
1,1,1,4,0,1,1,1,2,2,2,1,1,1,1,0,2,0,1,0,3,1,0,2,2,0,2,0,0,0,3,0,1,1,1,1,1,0,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,1,1,0,1,2,2,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,2,1,3,2,0,1,1,2,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,3,2,1,3,0,0,1,0,1,1,2,2,0,1,0,3,0,1,0,0,2,0,1,0,0,2,0,2,0,1,2,1,2,2
1,0,0,1,1,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,2,3,2,3,4,1,3,0,2,1,1,2,0,0,1,1,0,1,1,0,1,1,0,0,0
1,2,1,0,0,1,0,1,1,1,1,3,0,0,0,1,3,1,0,2,0,1,1,3,0,1,0,3,1,3,0,0,0,0,2,0,0,1,1,0,0,0,0,4,2,1,2,0,0,1,3,2,1
0,1,0,1,1,1,2,3,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,0,1,3,2,3,0,0,2,1,2,1,0,2,1,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,3
0,2,0,2,2,0,3,1,2,0,0,0,1,2,0,1,1,0,0,0,1,2,1,0,1,1,2,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,0,4,1,1,1,2,1,1,1,3,1,0,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,2,0,1,2,3,1,0,0,0,1,1,1,3
1,1,1,0,0,0,2,0,2,1,2,0,1,2,1,3,2,0,2,2,2,1,2,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,1,1,0,1,0,2,1,0,1,2
1,2,2,0,2,0,1,0,0,0,0,1,1,0,0,4,1,0,1,0,0,0,2,4,0,0,1,0,1,2,1,1,2,2,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,4,1
0,0,0,1,0,0,1,1,2,0,1,0,0,0,2,3,2,0,2,2,0,1,2,3,0,2,0,2,0,0,2,1,4,0,0,0,0,2,1,1,2,1,0,1,0,2,1,0,0,1,2,2,2
2,2,2,1,1,2,2,0,1,0,1,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,1,1,1,0,3,2,0,2,2,0,1,1,0,1,2,0,2,1,0,2,1
2,1,1,1,1,1,1,3,0,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,1,1,1,1,1,1,0,1,0,0,0,2,0,1,0,1,1,1
1,0,1,1,0,1,1,0,5,2,3,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,2,1,1,0,1,0,1,0,3,2,1,0,0,2,3,2,2,2,0,1,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,0,1,1,2,1,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,1,1,1,0,0,1,0,2,0,1,0,1,2,1,1,0
0,0,2,1,1,0,1,3,0,0,0,2,2,1,1,0,1,0,1,2,3,0,2,1,1,2,1,4,0,2,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,1,1,1
0,2,1,0,0,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,2,2,1,0,1,1,1,0,0,1,2,0,1,1,1,2,3,0,1,1,1,1,2,2,0,1,0,0,1,0,1,1,2
2,0,1,0,0,0,0,2,0,1,2,3,2,1,0,2,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,1,2,2,1,0,1,1,1,1,1,1,1,0,1,0,3,0,0,1,2,1,1
2,0,0,1,0,0,0,0,1,1,1,1,2,0,2,1,1,3,0,2,4,0,0,2,1,0,1,1,0,1,2,1,2,1,1,0,0,3,1,0,1,2,0,1,3,0,2,0,2,2,0,0,0
0,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,1,2,2,1,0,0,2,0,1,1,0,2,2,0,1,0,0,2,1,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,2,1,1
0,1,2,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,2,2,1,1,2,2,0,1,2,1,1,1,0,1,2,1,2,1
1,0,1,0,1,2,2,1,0,0,4,2,0,1,1,2,0,0,1,1,1,1,0,0,0,2,2,0,1,1,3,0,0,0,2,2,3,1,0,0,1,2,1,3,0,1,1,0,0,1,0,2,1
4,1,0,0,1,1,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,0,3,0,1,3,2,1,2,0,0,0,0,1,0,2,0,0,1,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,3,1,1,0,4,1,1,1,2,1,0,2,2,1,1,0,1,0,0,1,1,2,1,1,1,1,1,3,0,0,0,0,0,1,2,1
0,1,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,0,1,2,1,2,1,2,1,1,0,0,1,0,2,1,0,0,3,2,1,2,0,1,0,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,0,1,0,2,1,0,0,0,1,3,0,6,1,0,0,1,0,1,0,1,2,3,1,0,0,1,0,3,0,2,1,1,0,0
2,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,2,1,0,1,0,0,0,0,2,0,3,3,1,3,0,0,0,1,1,1,0,0,0,1,2,1,0,0,2,1,1,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,2,2,0
0,0,4,1,1,0,1,0,0,0,0,0,0,4,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,3,0,0,1,0,0,1,2,2,2,0,0,0,3,1,1,2
0,4,0,0,2,1,1,1,1,0,2,0,1,1,2,1,0,2,1,1,0,0,2,1,1,0,3,0,1,1,0,0,1,3,2,1,1,0,4,0,0,0,1,1,0,2,1,0,1,1,0,1,2
1,1,0,1,2,0,1,1,3,1,2,2,3,1,2,2,0,0,1,1,2,1,0,2,1,2,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,1,1,0,1,4,1,0,0,0,0,0,0
1,0,1,0,0,3,1,0,0,0,2,0,2,0,1,1,1,1,3,0,0,0,0,1,1,3,4,3,1,0,5,1,0,0,1,0,0,1,0,2,1,0,0,2,0,2,0,0,2,1,2,0,2
1,0,0,0,0,1,2,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,2,1,1,1,1,2,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,1,3,1,2
2,3,0,2,0,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,0,4,1,0,0,1,5,0,0,1,1,0,1,2,2,2,0,0,1,0,2,0,0,0,0,0,0,1,2,0,1,1
1,0,0,1,1,0,4,3,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,0,0,0,1,1,3,1,3,1,2,1,2,1,1,0,1,0,0,1,1
2,1,0,0,0,3,4,1,1,1,1,1,1,1,1,1,2,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
2,0,1,3,2,0,4,0,0,0,0,2,2,2,2,0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,0,4,0,1,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,3,2,1,1,1,1,1,1,3,2,2,2,2,0,0,1,0,0,2,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,0
2,2,1,0,0,0,1,0,1,0,2,2,2,0,1,1,3,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,3,2,2,1,0,4,0,0,2,2,1,1,1,0,0,5,2,0,0,0
1,1,1,3,0,1,1,0,2,0,1,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,0,3,0,1,0,0,0,3,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,0,1,0,2,6,0,2,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,2,1,0,1,2,0,0,1,2,3,2,1,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,3,1,1,4,1,2,2,1,0,0,2,1,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,1,1,2
2,0,2,0,0,3,0,0,0,0,2,2,2,2,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,0,1,1,3,2,2,1,2,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,4,0,2,1,0,0,1,2,2,0,2,1,2,1,3,0,2,0,1,1,3,1,0,0,1,3,0,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,3,1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,4,2,1,3,1,1,0,3,1,0,1,1,2,1,0,1,0,1,0,0,1,0,1,2,1,0,2,0,2,2,0
1,0,2,1,1,0,0,1,0,1,2,2,1,3,1,0,1,1,2,2,2,0,0,0,2,2,0,0,1,0,1,1,2,1,1,0,1,0,2,4,1,1,0,2,0,2,2,0,2,0,1,1,0
0,2,1,0,0,0,4,1,1,0,1,1,3,2,0,0,3,0,1,3,1,1,0,1,0,1,2,0,1,0,2,1,1,0,0,1,1,1,0,2,2,2,3,1,0,0,0,0,1,2,1,2,1
2,0,0,1,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,4,0,1,1,0,2,2,1,2,2,1,1,0,1,3,3,1,0,0,1,0,0,1,0,2,0,4,0,1,2,0
2,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,2,0,2,2,2,0,0,0,2,3,2,0,1,0,2,0,2,2,3,1,2,1,2,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,1,2,1,0,0,0,1,2,0,1,0,1,2,4,2,1,0,3,0,2,2,3,1,2,1,0,0,1,1,0,2,2,0,0,1,0,3,1,0,0,1,0,1,4,0,0,1
1,0,2,2,0,0,2,0,1,0,0,1,1,0,3,1,1,0,0,1,1,0,2,0,2,1,1,2,2,2,2,1,0,1,1,0,1,0,2,0,0,0,0,0,2,1,4,0,4,2,3,1,0
1,1,1,0,0,1,0,0,0,0,0,2,3,2,0,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,2,0,4,0,0,0,1,1,1,2,0,2,2,0,5,1,1,3,1
0,2,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,2,3,0,1,2,2,0,0,2,0,1,1,2,0,1,4,2,2,0,0,0,1,3,0,0,1,1,0,0,3,4,1,1
1,1,1,4,0,1,1,1,2,2,2,1,1,1,1,0,3,0,1,0,3,1,0,2,2,0,2,0,0,0,3,0,1,1,1,1,1,1,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,0,2,1,1,1,0,1,2,2,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,0,2,1,3,2,0,1,1,2,1,1,1,1,1,0,0,1,0,0,0,0,2,0,1
1,0,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,3,2,1,3,0,0,1,0,1,1,3,2,0,1,0,3,0,1,0,0,2,0,1,0,0,2,0,2,0,2,2,1,2,2
1,0,0,1,1,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,2,3,2,3,4,1,3,0,2,1,1,3,0,0,1,1,0,1,1,0,1,1,0,0,0
1,2,1,1,0,1,0,1,1,1,1,3,0,0,0,1,3,1,1,2,0,1,1,3,0,1,0,3,1,3,0,0,0,0,2,0,0,1,1,0,0,0,0,4,2,1,2,0,0,1,3,2,1
0,1,0,1,1,1,2,3,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,1,1,3,2,3,0,0,2,2,2,1,0,2,1,0,3,0,2,0,0,0,0,0,1,0,0,0,1,1,3
0,2,0,2,2,0,3,1,2,0,0,0,1,2,1,1,1,0,1,0,1,2,1,0,1,1,2,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,1,4,1,1,1,2,1,1,1,3,1,1,2,0,0,1,1,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,2,0,1,2,3,1,0,0,0,1,1,1,3
1,1,1,0,0,0,2,0,2,1,2,0,1,2,1,3,3,0,2,2,2,1,2,1,0,1,0,1,0,2,2,2,1,0,0,0,0,0,2,0,3,0,0,2,1,0,1,0,2,1,0,1,2
1,2,2,0,2,0,1,0,0,0,0,1,1,0,0,4,1,1,1,0,0,0,2,4,0,0,1,0,1,2,1,1,2,2,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,5,1
0,0,0,1,0,1,1,1,2,0,1,0,0,0,2,3,2,0,2,2,0,1,2,3,0,3,0,2,0,0,2,1,4,0,0,0,0,2,1,1,2,1,0,1,0,2,1,0,0,1,2,2,2
2,2,2,1,1,2,2,0,1,0,1,2,0,2,1,1,1,0,0,0,0,2,1,0,0,0,1,0,0,1,2,1,1,1,1,1,3,2,0,2,2,0,1,2,0,1,2,0,2,1,0,2,1
2,1,1,1,1,1,1,3,0,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,2,1,1,1,1,1,1,1,0,0,0,2,0,1,0,1,1,1
1,0,1,1,0,1,1,0,5,3,3,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,1,0,3,2,1,0,0,2,3,2,2,2,0,1,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,1,1,1,2,1,1,1,0,1,0,2,0,0,0,2,1,1,1,0,3,2,0,1,1,1,1,0,0,1,0,2,0,1,0,1,3,1,1,0
1,0,2,1,1,0,1,3,0,0,0,2,2,1,1,0,1,0,1,3,3,0,2,1,1,2,1,4,0,2,2,1,2,1,0,0,0,1,1,0,2,0,0,1,1,0,2,0,1,0,1,1,1
0,2,1,0,1,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,2,2,1,0,1,1,1,0,0,1,2,0,1,1,1,2,3,0,1,1,1,1,2,2,0,1,0,0,1,0,1,1,3
2,0,1,0,0,0,0,2,0,1,3,3,2,1,0,3,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,1,2,2,1,0,1,1,1,1,1,1,1,0,1,0,3,0,0,1,2,1,1
2,0,0,1,0,0,0,1,1,1,1,1,2,0,2,1,1,3,0,2,4,0,0,2,1,0,2,1,0,1,2,1,2,1,1,0,0,3,1,0,1,2,0,1,3,0,2,0,2,2,0,0,0
0,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,1,2,3,1,0,0,2,0,1,1,0,3,2,0,1,0,0,2,1,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,2,1,1
0,2,2,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,2,2,1,1,2,2,0,1,2,1,1,1,0,1,2,1,3,1
1,0,1,0,1,2,2,1,0,0,4,2,0,1,1,2,0,0,1,1,1,1,0,0,0,2,2,0,1,1,3,0,1,0,2,2,3,1,0,0,1,2,1,4,0,1,1,0,0,1,0,2,1
4,1,0,0,1,1,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,1,3,0,1,3,2,1,2,0,0,0,0,1,0,2,0,0,2,0,1,2,1,1,0
1,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,3,1,1,0,4,1,1,1,2,1,0,2,2,1,1,0,1,0,0,2,1,2,1,1,1,1,1,3,0,0,0,0,0,1,3,1
0,1,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,1,1,2,1,2,1,2,1,1,0,0,1,0,2,1,0,0,3,2,1,2,0,1,1,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,1,1,0,2,1,0,0,0,1,3,0,6,1,0,0,1,0,1,0,1,2,3,1,0,0,1,0,3,0,2,2,1,0,0
2,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,3,1,0,1,0,0,0,0,2,0,3,3,1,3,0,0,0,1,1,1,0,0,1,1,2,1,0,0,2,1,1,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,1,1,2,1,0,1,1,3,1,0,1,0,3,3,2,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,3,3,0
0,0,4,1,1,0,1,0,1,0,0,0,0,4,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,3,1,0,1,0,0,1,2,2,2,0,0,0,3,1,1,2
0,4,0,0,2,1,1,1,1,0,2,0,1,1,2,1,0,2,1,1,0,0,2,2,1,0,3,0,1,1,0,0,1,3,2,1,1,0,4,0,0,0,1,1,0,3,1,0,1,1,0,1,2
1,1,0,1,2,0,1,1,3,2,2,2,3,1,2,2,0,0,1,1,2,1,0,2,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,1,1,0,1,4,1,0,0,0,0,0,0
2,0,1,0,0,3,1,0,0,0,2,0,2,0,1,1,1,1,4,0,0,0,0,1,1,3,4,3,1,0,5,1,0,0,1,0,0,1,0,2,1,0,0,2,0,2,0,0,2,1,2,0,2
1,0,0,0,0,1,2,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,3,1,1,1,1,3,1,1,1,0,1,0,2,1,0,0,1,2,0,2,0,1,1,3,1,2
2,3,0,2,0,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,0,4,1,1,0,1,5,0,0,1,1,0,1,2,2,2,0,0,2,0,2,0,0,0,0,0,0,1,2,0,1,1
1,0,0,2,1,0,4,3,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,1,0,0,0,1,1,3,1,3,1,2,1,2,1,1,0,1,0,0,1,1
2,1,0,0,0,3,4,1,1,1,1,2,1,1,2,1,2,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
2,0,1,3,2,0,4,0,1,0,0,2,2,2,2,0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,0,5,0,1,3,0,2,0,0,4,2,1,0,0,0,0,0,1,1,1,1,2
1,2,0,0,0,0,0,0,3,2,1,1,1,1,1,1,3,2,2,2,3,0,0,1,0,0,2,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,1
2,2,1,1,0,0,1,0,1,0,2,2,2,0,1,1,3,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,3,2,2,1,0,4,0,0,2,3,1,1,1,0,0,5,2,0,0,0
1,1,1,3,0,2,1,0,2,0,1,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,1,3,0,1,0,0,0,3,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,0,1,0,2,6,0,2,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,1,3,0,0,1,2,3,2,1,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,1,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,3,2,1,4,1,2,2,1,0,0,2,1,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,2,1,2
2,0,2,0,1,3,0,0,0,0,2,2,2,2,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,0,1,1,3,3,2,1,2,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,4,0,3,2,0,0,1,2,2,0,2,1,2,1,3,0,2,0,1,1,3,1,0,0,1,3,0,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,3,1,1,1,1,1,1,1,0,0,1,1,0,0,2,1,0,1,1,1,4,2,1,3,1,1,0,3,1,0,1,1,2,1,0,1,0,1,0,0,1,0,1,3,1,0,2,0,2,2,0
1,0,2,1,1,0,0,1,0,1,3,2,1,3,1,0,1,1,2,2,2,0,0,0,2,3,0,0,1,0,1,1,2,1,1,0,1,0,2,4,1,1,0,2,0,2,2,0,2,0,1,1,0
0,2,1,0,0,0,4,1,1,0,1,1,3,2,0,0,3,0,1,3,1,1,0,1,0,1,2,0,2,0,2,1,1,0,0,1,1,2,0,2,2,2,3,1,0,0,0,0,1,2,1,2,1
2,0,0,2,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,4,0,2,1,0,2,2,1,2,2,1,1,0,1,3,3,1,0,0,1,0,0,1,0,2,0,4,0,1,2,0
3,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,2,0,2,2,2,0,0,0,2,4,2,0,1,0,2,0,2,2,3,1,2,1,2,1,1,1,0,0,1,0,2,2
1,0,0,0,3,0,2,2,1,0,0,0,1,2,0,1,0,1,2,4,2,1,0,3,0,2,3,3,1,2,1,0,0,1,1,0,2,2,0,0,1,0,3,1,0,0,1,0,1,4,0,0,1
1,1,2,2,0,0,2,0,1,0,0,1,1,0,3,1,1,0,0,1,1,0,2,0,2,1,1,2,2,2,2,1,0,1,1,0,1,0,2,1,0,0,0,0,2,1,4,0,4,2,3,1,0
1,1,1,0,0,1,0,0,1,0,0,2,3,2,1,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,2,0,4,0,0,0,1,1,1,2,0,2,2,0,5,1,1,3,1
0,3,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,2,3,0,1,2,2,0,0,2,0,1,1,3,0,1,4,2,2,0,0,0,1,3,0,0,1,1,0,0,3,4,1,1
1,2,1,4,0,1,1,1,2,2,2,1,2,1,1,0,3,0,1,0,3,1,0,2,2,0,2,0,0,0,3,0,1,1,1,1,1,1,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,1,2,1,1,1,0,1,2,2,1,1,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,1,2,1,3,2,0,1,1,2,1,1,1,1,1,0,0,1,0,0,0,0,2,0,1
1,1,2,0,1,1,1,0,1,2,0,1,1,1,0,1,1,0,2,3,2,1,3,0,0,1,0,1,1,3,2,1,1,0,3,0,1,0,0,2,0,1,0,0,2,0,2,0,2,2,1,2,2
1,0,0,1,1,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,3,3,3,3,4,1,3,0,2,1,1,3,0,0,1,1,0,1,1,0,1,1,0,0,0
1,2,1,1,0,1,0,1,1,1,1,3,0,0,1,1,3,1,1,2,0,1,1,3,0,1,0,3,1,3,0,0,0,0,2,0,1,1,1,0,0,0,0,4,2,1,2,0,0,1,3,2,1
0,1,0,1,1,1,2,3,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,1,1,3,2,4,0,0,2,2,2,1,0,2,1,0,4,0,2,0,0,0,0,0,1,0,0,0,1,1,3
0,2,0,2,2,0,3,1,2,0,0,0,1,2,1,1,1,0,1,0,1,2,1,0,2,1,3,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,1,4,1,1,1,2,1,1,1,3,1,1,2,0,0,1,2,1,0,2,0,3,1,0,0,0,2,1,0,0,1,0,1,0,1,2,0,1,2,3,1,0,0,0,1,1,1,4
1,1,1,0,0,0,2,0,2,1,2,0,1,2,1,3,3,0,2,2,2,1,2,1,0,1,0,1,0,2,3,2,1,0,0,0,0,0,2,0,3,0,0,2,1,0,1,0,2,1,0,1,3
1,2,2,0,2,0,1,0,0,0,0,1,1,0,0,4,1,1,2,0,0,0,2,4,0,0,1,0,1,2,2,1,2,2,1,2,2,1,1,1,0,2,1,1,0,1,2,0,0,0,0,5,1
0,0,0,1,0,1,1,1,2,0,1,0,0,0,3,3,2,0,2,2,0,1,2,3,0,3,0,2,0,0,2,1,4,1,0,0,0,2,1,1,2,1,0,1,0,2,1,0,0,1,2,2,2
2,2,2,1,1,2,2,0,1,0,1,2,0,2,1,1,1,0,0,0,0,2,2,0,0,0,1,0,0,1,2,1,1,1,1,1,3,2,0,2,2,0,1,2,1,1,2,0,2,1,0,2,1
2,1,1,2,1,1,1,3,0,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,2,1,1,1,1,1,1,1,1,0,0,2,0,1,0,1,1,1
1,0,1,1,0,1,1,0,5,3,3,1,0,0,2,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,2,0,3,2,1,0,0,2,3,2,2,2,0,1,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,1,1,1,2,1,1,2,0,1,0,2,0,0,0,2,1,1,1,0,4,2,0,1,1,1,1,0,0,1,0,2,0,1,0,1,3,1,1,0
1,0,2,2,1,0,1,3,0,0,0,2,2,1,1,0,1,0,1,3,3,0,2,1,1,2,1,4,0,2,2,1,2,1,0,0,0,2,1,0,2,0,0,1,1,0,2,0,1,0,1,1,1
0,2,1,0,1,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,3,2,1,0,1,1,1,0,0,1,2,0,1,1,1,2,3,0,1,1,1,1,2,2,0,1,1,0,1,0,1,1,3
2,0,1,0,0,0,0,2,0,1,3,3,2,1,0,3,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,2,2,2,1,0,1,1,1,1,1,1,1,0,1,0,3,0,0,1,2,2,1
2,0,0,1,0,0,0,1,1,1,1,1,2,0,2,1,1,3,0,2,4,0,0,2,1,0,2,1,0,1,2,1,2,1,1,0,0,3,1,0,2,2,0,1,3,0,2,0,2,2,0,0,1
0,1,1,1,1,0,1,1,1,0,2,0,1,0,1,0,1,2,3,1,0,0,2,0,2,1,0,3,2,0,1,0,0,2,2,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,2,1,1
1,2,2,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,2,0,0,0,2,2,1,1,3,2,0,1,2,1,1,1,0,1,2,1,3,1
1,0,1,0,1,2,2,1,0,0,4,2,0,1,1,3,0,0,1,1,1,1,0,0,0,2,2,0,1,2,3,0,1,0,2,2,3,1,0,0,1,2,1,4,0,1,1,0,0,1,0,2,1
4,1,0,0,1,1,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,0,0,2,1,2,0,1,3,0,1,3,2,1,2,0,0,0,0,1,0,2,2,0,2,0,1,2,1,1,0
2,0,0,0,1,0,2,0,2,1,0,3,0,2,0,0,2,3,1,1,0,4,1,1,1,2,1,0,2,2,1,1,0,1,0,0,2,2,2,1,1,1,1,1,3,0,0,0,0,0,1,3,1
0,1,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,1,1,2,1,2,1,2,1,2,0,0,1,0,2,1,0,0,3,2,2,2,0,1,1,1,1,0,0,1,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,1,1,0,2,2,0,0,0,1,3,0,6,1,0,0,1,0,1,0,1,2,3,1,0,0,1,0,3,0,2,2,1,0,1
2,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,3,1,0,1,0,0,0,0,2,0,3,3,1,3,0,0,0,1,1,1,0,0,1,1,2,1,0,0,3,2,1,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,2,1,2,1,0,1,1,3,1,0,1,0,3,3,3,0,1,0,0,0,0,0,0,1,1,0,1,1,0,2,0,3,3,0
0,1,4,1,1,0,1,0,1,0,0,0,0,4,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,3,1,0,1,0,0,1,2,3,2,0,0,0,3,1,1,2
0,4,0,0,2,2,1,1,1,0,2,0,1,1,2,1,0,2,1,1,0,0,2,2,1,0,3,0,1,1,0,0,1,4,2,1,1,0,4,0,0,0,1,1,0,3,1,0,1,1,0,1,2
1,1,0,1,2,1,1,1,3,2,2,2,3,1,2,2,0,0,1,1,2,1,0,2,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,1,1,0,1,4,1,0,0,0,1,0,0
2,0,1,0,0,3,1,0,0,0,2,0,2,0,2,1,1,1,4,0,0,0,0,1,1,3,4,3,1,0,5,1,0,0,1,0,0,1,0,2,1,0,1,2,0,2,0,0,2,1,2,0,2
1,1,0,0,0,1,2,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,2,4,1,0,1,3,1,1,1,1,3,1,1,1,0,1,0,2,1,0,1,1,2,0,2,0,1,1,3,1,2
2,3,0,2,0,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,0,4,1,1,0,1,5,0,0,1,1,1,1,2,2,2,0,0,2,0,2,0,0,0,0,0,0,1,2,0,2,1
1,0,0,2,1,1,5,3,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,1,0,0,0,1,1,3,1,3,1,2,1,2,1,1,0,1,0,0,1,1
3,1,0,0,0,3,4,1,1,1,1,2,1,2,2,1,2,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
2,0,1,3,2,0,4,0,1,0,0,2,2,2,2,0,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,0,5,0,1,3,0,2,0,0,4,2,2,0,0,0,0,0,1,2,1,1,2
1,2,0,0,0,0,0,0,3,2,1,1,1,1,1,1,3,2,2,2,3,0,1,1,0,1,2,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,1
2,2,1,1,0,0,1,0,1,0,2,2,2,0,1,1,3,0,0,0,1,1,2,0,0,1,0,0,1,1,0,1,0,3,2,2,1,0,4,0,0,3,3,1,1,2,0,0,5,2,0,0,0
1,1,2,3,0,2,1,0,2,0,1,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,1,3,0,1,1,0,0,3,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,0,1,0,2,6,0,2,2,0,0,1,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,1,3,0,0,2,2,3,2,2,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,2,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,3,2,1,4,1,2,2,1,0,0,2,1,0,0,0,2,2,0,1,2,2,1,1,1,2,0,0,0,0,1,0,2,2,2
3,0,2,0,1,3,0,0,0,0,2,2,2,2,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,0,1,1,3,3,3,1,2,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,4,0,3,2,0,0,2,2,2,0,2,2,2,1,3,0,2,0,1,1,3,1,0,0,1,3,0,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,3,1,1,1,1,1,1,1,0,0,1,1,0,0,2,1,0,1,1,1,5,2,1,3,1,1,0,3,1,0,1,1,2,1,0,1,0,1,0,0,2,0,1,3,1,0,2,0,2,2,0
1,0,2,2,1,0,0,1,0,1,3,2,1,3,1,0,1,1,2,2,2,0,1,0,2,3,0,0,1,0,1,1,2,1,1,0,1,0,2,4,1,1,0,2,0,2,2,0,2,0,1,1,0
0,2,1,0,0,0,4,1,1,0,1,1,3,2,0,0,3,0,1,3,1,1,0,1,0,2,2,0,2,0,2,2,1,0,0,1,1,2,0,2,2,2,3,1,0,0,0,0,1,2,1,2,1
2,0,0,2,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,4,0,2,1,0,2,2,1,2,2,1,1,0,1,3,3,1,0,0,1,0,0,2,0,2,0,4,0,1,3,0
3,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,2,0,2,2,2,0,0,0,2,4,2,0,1,0,2,0,2,2,3,1,2,1,2,3,1,1,0,0,1,0,2,2
1,0,0,1,3,0,2,2,1,0,0,0,1,2,0,1,0,1,2,4,2,1,0,3,0,2,3,3,1,2,1,0,1,1,1,0,2,2,0,0,1,0,3,1,0,0,1,0,1,4,0,0,1
1,1,2,2,0,0,2,0,1,0,0,1,1,0,3,1,1,0,0,1,1,1,2,0,2,1,1,2,2,2,2,1,0,1,1,0,1,0,2,1,0,0,0,0,3,1,4,0,4,2,3,1,0
1,1,1,0,0,2,0,0,1,0,0,2,3,3,1,0,1,0,4,1,0,0,1,0,0,1,0,1,2,0,2,0,2,2,2,0,4,0,0,0,1,1,1,2,0,2,2,0,5,1,1,3,1
0,3,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,2,3,0,1,2,2,1,0,2,0,1,1,3,1,1,4,2,2,0,0,0,1,3,0,0,1,1,0,0,3,4,1,1
1,2,1,4,0,1,1,1,2,2,2,3,2,1,1,0,3,0,1,0,3,1,0,2,2,0,2,0,0,0,3,0,1,1,1,1,1,1,1,0,0,1,1,2,3,0,0,0,0,0,0,2,1
1,3,1,2,1,1,1,0,1,2,2,1,2,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,1,2,1,3,2,0,1,1,2,1,1,1,1,1,0,0,1,0,0,0,0,2,1,1
1,1,2,0,1,1,1,0,1,2,0,2,1,1,1,1,1,0,2,3,2,1,3,0,0,1,0,1,1,3,2,1,1,0,3,0,1,0,0,2,0,1,0,0,2,0,2,0,2,2,1,2,2
1,0,0,1,1,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0,1,2,1,2,3,1,2,0,3,4,3,3,4,1,3,0,2,1,1,3,0,1,1,1,0,1,1,0,1,1,0,0,0
1,3,1,1,0,1,0,1,1,1,1,3,0,0,1,1,3,1,1,2,0,1,1,3,0,1,0,3,1,3,0,0,0,0,2,0,1,1,1,0,0,0,0,4,2,1,2,0,0,1,3,3,1
0,1,0,1,1,1,2,3,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,1,1,3,2,4,0,0,2,2,2,1,0,2,1,0,4,0,2,0,1,0,0,0,1,0,0,0,1,1,4
0,2,0,2,2,0,3,1,2,0,0,0,1,2,1,1,1,0,1,0,1,2,1,0,2,1,5,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,0,2
2,1,1,0,0,1,4,1,1,1,2,1,1,1,3,1,1,3,0,0,1,2,1,0,2,0,3,1,0,0,0,2,1,0,1,1,0,1,0,1,2,0,1,2,3,1,0,0,0,1,1,1,4
1,1,1,0,0,0,2,0,2,1,2,0,1,2,1,3,3,0,2,2,2,1,2,1,0,1,0,1,0,2,3,2,1,0,0,0,0,0,2,0,3,1,0,2,1,0,1,0,2,1,0,2,3
2,2,2,0,2,0,1,0,0,0,0,1,1,0,0,4,1,1,2,0,0,0,2,4,0,0,1,0,1,2,2,1,2,2,1,2,2,1,1,1,0,2,2,1,0,1,2,0,0,0,0,5,1
0,0,0,1,0,1,1,1,2,1,1,0,0,0,3,3,2,0,2,2,0,1,2,3,0,3,0,2,0,0,2,1,4,1,0,0,0,2,1,1,2,1,0,2,0,2,1,0,0,1,2,2,2
2,2,2,1,1,2,3,0,1,0,1,2,0,2,1,1,1,1,0,0,0,2,2,0,0,0,1,0,0,1,2,1,1,1,1,1,3,2,0,2,2,0,1,2,1,1,2,0,2,1,0,2,1
2,1,1,3,1,1,1,3,1,2,1,0,2,0,2,0,1,0,0,1,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,2,1,1,1,1,1,1,1,1,0,0,2,0,1,0,1,1,1
1,0,1,1,0,1,1,0,5,3,3,1,0,0,2,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,2,0,3,2,1,0,0,2,3,2,2,2,1,2,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,1,1,1,2,1,1,2,0,1,0,2,0,1,0,2,1,1,1,0,4,3,0,1,1,1,1,0,0,1,0,2,0,1,0,1,3,1,1,0
1,0,2,2,1,0,1,3,0,0,0,2,2,1,1,0,1,0,1,3,3,0,2,1,1,2,1,4,0,2,2,1,2,2,0,0,0,2,1,1,2,0,0,1,1,0,2,0,1,0,1,1,1
0,2,1,0,1,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,3,3,1,0,1,1,1,0,0,1,2,0,1,1,1,2,3,0,1,1,1,2,2,2,0,1,1,0,1,0,1,1,3
2,0,1,0,0,0,0,2,0,1,3,3,2,1,1,3,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,2,2,3,1,0,1,1,1,1,1,1,1,0,1,0,3,0,0,1,2,2,1
2,0,0,1,0,0,0,1,1,1,1,1,2,0,2,1,1,3,0,2,4,0,0,2,1,0,2,1,0,1,2,1,2,1,1,0,0,3,1,1,2,2,0,1,3,0,2,0,2,3,0,0,1
0,1,2,1,1,0,1,1,2,0,2,0,1,0,1,0,1,2,3,1,0,0,2,0,2,1,0,3,2,0,1,0,0,2,2,0,2,2,0,4,2,1,2,2,0,3,1,0,0,0,2,1,1
1,2,2,1,2,1,1,0,3,0,0,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,2,0,0,1,2,2,1,1,3,2,1,1,2,1,1,1,0,1,2,1,3,1
1,0,1,0,1,2,2,1,0,0,4,2,1,1,1,3,0,0,1,1,1,1,0,0,0,2,2,0,1,2,3,0,1,0,2,3,3,1,0,0,1,2,1,4,0,1,1,0,0,1,0,2,1
4,1,0,0,1,1,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,1,0,2,1,2,0,1,3,0,1,3,2,1,2,0,0,0,0,1,0,2,2,0,2,0,1,2,2,1,0
2,0,0,0,1,0,2,0,2,1,0,3,0,3,0,0,2,3,1,1,0,4,1,1,1,2,1,0,3,2,1,1,0,1,0,0,2,2,2,1,1,1,1,1,3,0,0,0,0,0,1,3,1
0,1,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,1,2,2,1,2,1,2,1,2,0,0,1,0,2,1,0,0,3,2,2,2,0,1,1,1,1,0,0,2,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,1,1,0,2,2,0,1,0,1,3,0,6,1,0,0,1,0,1,0,1,2,3,1,0,0,1,1,3,0,2,2,1,0,1
2,2,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,3,1,0,1,0,0,0,0,2,0,3,3,1,3,1,1,0,1,1,1,0,0,1,1,2,1,0,0,3,2,1,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,2,1,2,1,0,1,1,3,1,0,1,0,3,3,3,0,1,0,0,1,0,0,0,1,1,0,1,1,0,3,0,3,3,0
0,2,4,1,1,0,1,0,1,0,0,0,0,4,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,3,1,0,1,0,1,1,2,3,2,0,0,0,3,1,1,2
0,4,0,0,2,2,1,1,1,0,2,0,1,1,2,1,0,2,1,1,0,0,2,3,1,0,3,0,1,1,1,0,1,4,2,1,1,0,4,0,0,0,1,1,0,3,1,0,1,1,0,1,2
1,1,0,1,2,1,1,1,3,2,2,2,3,1,2,2,0,0,1,1,2,2,0,2,1,3,0,0,0,1,1,1,1,0,0,0,0,1,0,2,4,2,1,0,1,4,1,0,0,0,1,0,0
2,0,1,0,0,3,1,0,0,0,2,0,2,0,2,1,1,1,4,0,0,0,0,1,1,3,5,3,1,0,5,1,0,0,1,1,0,1,0,2,1,0,1,2,0,2,0,0,2,1,2,0,2
1,1,0,0,0,1,2,1,1,2,0,0,1,1,1,1,0,2,0,1,0,1,3,4,1,0,1,3,1,1,1,1,3,1,1,1,0,1,0,2,1,0,1,1,2,0,2,0,2,1,3,1,2
2,3,0,2,1,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,0,4,1,1,0,1,5,0,0,1,1,1,1,2,2,3,0,0,2,0,2,0,0,0,0,0,0,1,2,0,2,1
1,0,0,2,2,1,5,3,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,2,1,1,0,1,1,0,0,0,1,1,3,1,3,1,2,2,2,1,1,0,1,0,0,1,1
3,1,0,0,0,3,4,1,1,1,1,2,1,2,2,2,3,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,0,0,1,1,0,0,1,0,0,0,2,0,2,0,1
2,0,1,3,2,0,4,0,1,0,0,2,2,2,2,2,0,0,0,1,0,2,1,2,0,0,1,1,0,1,0,0,5,0,1,3,0,2,0,0,4,2,2,0,0,0,0,0,1,2,1,1,2
1,2,0,0,0,0,0,0,4,2,1,1,1,1,1,1,3,2,2,2,3,1,1,1,0,1,2,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,1,0,0,1,1,0,0,2,0,1,1
2,2,1,1,0,0,1,0,1,0,2,2,2,0,1,1,3,0,0,0,1,1,2,0,0,1,0,0,2,1,0,1,0,3,2,3,1,0,4,0,0,3,3,1,1,2,0,0,5,2,0,0,0
1,1,2,3,0,3,1,1,2,0,1,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,1,3,0,1,1,0,0,3,1,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,1,1,0,2,6,0,2,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,1,3,0,0,2,2,3,2,2,0,1,1,0,2,1,1,0,1,1,0,2,1
1,0,1,2,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,3,2,1,5,1,2,2,1,0,0,2,1,0,0,0,2,2,0,1,2,2,1,1,2,2,0,0,0,0,1,0,2,2,2
3,0,2,0,1,3,0,0,0,0,2,2,2,2,1,1,2,0,2,1,1,0,0,0,0,1,1,0,0,1,1,2,0,2,0,1,1,3,3,3,1,2,1,2,3,0,1,0,0,0,2,0,4
2,0,0,1,4,1,3,2,0,0,2,2,2,0,2,2,2,1,3,0,2,0,1,1,3,1,0,0,1,3,1,0,1,0,1,2,1,2,1,1,0,1,1,1,0,0,1,0,2,2,0,0,1
0,3,3,1,1,1,1,1,1,1,0,0,1,1,0,0,3,1,0,1,1,2,5,2,1,3,1,1,0,3,1,0,1,1,2,1,0,1,0,1,0,0,2,0,1,3,1,0,2,0,2,2,0
1,0,2,2,1,0,0,1,0,1,4,2,1,3,1,0,1,1,2,2,2,0,1,0,2,3,0,0,1,0,1,1,2,1,1,0,1,0,2,4,1,1,0,2,0,2,2,0,2,0,1,1,1
0,2,1,0,0,0,4,2,1,0,1,1,3,2,0,0,3,1,1,3,1,1,0,1,0,2,2,0,2,0,2,2,1,0,0,1,1,2,0,2,2,2,3,1,0,0,0,0,1,2,1,2,1
2,0,1,2,1,1,1,1,1,1,1,2,1,0,1,1,0,2,0,0,0,1,4,0,2,1,0,2,2,1,2,2,1,1,0,1,3,4,1,0,0,1,0,0,2,0,2,0,4,0,1,3,0
3,0,0,0,3,0,0,1,2,2,1,1,0,0,1,0,0,1,0,1,0,3,0,2,2,2,0,1,0,2,4,2,0,1,0,2,0,2,2,3,1,2,1,2,3,1,1,0,0,1,0,2,2
1,0,0,1,3,0,2,2,1,0,0,0,1,2,0,1,0,1,2,4,2,1,0,3,0,2,3,3,1,2,1,0,1,1,1,0,2,2,0,0,1,1,3,1,0,0,1,0,1,4,0,0,2
1,1,2,2,0,0,2,0,1,0,0,1,1,0,3,1,1,0,0,2,1,1,2,0,2,1,1,2,2,2,2,1,0,1,1,1,1,0,2,1,0,0,0,0,3,1,4,0,4,2,3,1,0
1,1,1,0,0,2,0,0,1,0,0,2,3,3,1,0,1,0,4,1,0,0,1,0,0,1,0,1,3,0,2,0,2,2,2,1,4,0,0,0,1,1,1,2,0,2,2,0,5,1,1,3,1
0,3,1,1,0,2,0,1,1,1,0,2,0,0,0,1,0,2,0,0,2,3,1,1,2,2,2,0,2,0,1,1,3,1,1,4,2,2,0,0,0,1,3,0,0,1,1,0,0,3,4,1,1
1,2,1,4,0,1,1,1,2,2,2,3,2,1,1,0,3,0,1,0,3,1,0,2,2,0,2,0,0,0,3,0,1,1,1,1,1,1,1,0,0,2,2,2,3,0,0,0,0,0,0,2,1
1,3,1,2,1,1,1,0,1,2,2,1,2,0,0,3,0,2,2,0,1,1,0,1,2,1,2,1,1,1,2,1,3,2,0,1,1,2,2,1,1,1,1,0,1,1,0,0,0,0,2,1,1
2,1,2,0,1,1,1,0,1,2,0,2,1,1,1,1,1,0,2,3,2,1,3,0,0,1,0,1,1,3,2,1,1,0,3,0,1,0,1,2,0,1,0,0,2,0,2,0,2,2,1,2,2
1,0,0,1,1,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0,1,2,2,2,3,1,2,1,3,4,3,3,4,1,3,0,2,1,1,3,0,1,1,1,0,1,1,0,1,1,0,0,0
1,3,1,1,0,1,0,1,1,1,1,3,0,0,1,1,3,1,1,2,0,1,1,3,0,1,0,3,1,3,1,0,0,0,2,0,1,1,1,0,0,0,0,4,3,1,2,0,0,1,3,3,1
0,1,0,1,1,1,2,3,2,0,0,0,0,0,1,1,1,0,0,0,3,5,1,1,1,3,2,4,0,0,2,2,2,1,0,2,1,0,4,0,2,1,1,0,1,0,1,0,0,0,1,1,4
0,2,0,2,2,0,3,1,2,0,0,1,1,2,1,1,1,0,1,0,1,2,1,0,2,1,5,0,0,0,5,4,0,0,3,0,0,0,2,1,1,0,4,2,2,0,0,0,0,1,0,1,2
2,1,1,0,0,1,4,1,1,1,2,1,1,1,3,1,1,3,0,0,1,2,1,0,2,0,4,1,0,0,0,2,1,0,1,1,0,1,0,1,2,0,1,2,3,1,0,0,0,1,2,1,4
1,1,1,0,0,0,2,0,2,1,2,0,1,3,1,3,3,0,2,2,2,1,2,1,0,1,0,1,0,2,3,2,1,0,0,0,0,0,2,0,3,1,0,2,1,1,1,0,2,1,0,2,3
2,2,2,0,2,0,1,0,0,0,0,1,1,0,0,5,1,1,2,0,0,0,2,4,0,0,1,0,1,2,2,1,2,2,1,2,2,1,1,1,0,3,2,1,0,1,2,0,0,0,0,5,1
0,0,0,1,0,1,1,1,2,1,1,0,0,0,3,3,2,0,2,2,0,1,2,3,0,3,0,2,0,0,2,1,4,2,0,0,0,2,1,1,2,1,0,2,0,2,1,0,0,1,3,2,2
2,2,2,1,1,2,3,0,1,0,1,2,0,2,1,1,1,1,0,0,0,2,2,0,0,0,1,0,0,1,2,1,1,1,1,1,3,2,0,2,2,0,2,2,1,1,2,0,2,2,0,2,1
2,1,1,3,1,1,1,3,1,2,1,0,2,0,2,0,1,0,0,2,2,1,0,1,0,1,2,1,0,0,4,2,3,2,0,2,1,1,1,1,1,1,1,1,0,0,2,0,1,1,1,1,1
1,0,1,1,0,1,2,0,5,3,3,2,0,0,2,0,1,0,0,0,0,1,1,0,0,1,2,1,1,0,1,0,2,0,3,2,1,0,0,2,3,2,2,2,1,2,2,0,1,2,1,2,0
0,2,1,0,0,5,2,0,2,0,1,4,1,1,1,1,1,2,1,2,2,0,1,0,2,0,1,0,2,1,1,1,0,4,3,0,1,1,1,1,1,0,1,0,2,0,1,0,1,3,1,1,0
1,0,2,2,1,0,1,3,0,0,0,2,2,1,1,0,1,1,1,3,3,0,2,1,1,2,1,4,0,3,2,1,2,2,0,0,0,2,1,1,2,0,0,1,1,0,2,0,1,0,1,1,1
0,2,1,0,1,0,3,2,0,3,2,2,0,0,1,0,0,0,1,2,4,3,1,0,1,1,1,0,1,1,2,0,1,1,1,2,3,0,1,1,1,2,2,2,0,1,1,0,1,0,1,1,3
2,0,1,0,0,0,0,3,0,1,3,3,2,1,1,3,2,1,1,2,0,0,3,2,0,0,0,0,0,1,2,2,2,3,1,0,1,1,1,1,1,1,1,0,1,0,3,0,0,2,2,2,1
2,0,0,1,0,0,0,1,1,1,1,1,2,0,2,1,1,3,1,2,4,0,0,2,1,0,2,1,0,1,2,1,2,1,1,0,0,3,1,1,2,2,0,1,3,0,2,0,2,3,0,0,2
0,1,2,1,1,0,1,1,2,0,2,0,1,0,1,0,1,2,3,1,0,0,2,0,3,1,0,3,2,0,1,0,0,2,2,0,3,2,0,4,2,1,2,2,0,3,1,0,0,0,2,1,1
1,2,2,1,2,1,1,1,3,0,1,2,0,1,2,0,1,0,2,2,0,0,1,1,1,1,1,0,0,1,0,2,0,0,1,2,2,1,1,3,2,1,1,2,1,1,1,0,1,2,1,3,1
1,0,1,0,1,2,2,1,0,0,4,2,1,1,1,3,0,1,1,1,1,1,0,0,0,2,2,0,1,2,3,0,1,0,2,3,3,1,0,0,1,2,1,4,0,1,1,0,0,1,1,2,1
4,1,0,0,1,1,5,0,3,0,0,1,1,0,1,1,3,0,1,0,1,0,2,1,0,2,1,2,1,1,3,0,1,3,2,2,2,0,0,0,0,1,0,2,2,0,2,0,1,2,2,1,0
2,0,0,0,1,0,2,0,2,1,0,3,0,3,0,0,2,3,1,1,0,4,1,1,1,2,1,0,3,2,1,1,1,1,0,0,2,2,2,1,1,1,1,1,3,0,0,0,0,0,1,3,2
0,1,0,1,3,2,0,2,1,4,1,0,1,0,2,1,1,0,1,0,1,1,2,2,1,2,1,2,1,2,1,0,1,0,2,1,0,0,3,2,2,2,0,1,2,1,1,0,0,2,1,2,0
0,1,3,1,2,1,0,1,0,0,1,1,0,1,1,2,2,2,1,1,1,0,3,2,0,1,0,1,3,0,6,1,0,0,1,0,1,0,1,2,3,1,0,0,1,1,3,0,2,2,1,0,2
2,3,1,1,1,0,0,3,1,0,0,1,1,1,1,3,2,0,1,1,3,1,0,1,0,0,0,0,2,0,3,3,1,3,1,1,0,1,1,1,0,1,1,1,2,1,0,0,3,2,1,0,3
3,2,0,0,1,0,0,1,1,6,1,1,0,2,1,0,1,1,0,2,1,2,1,0,2,1,3,1,0,1,0,3,3,3,0,1,0,0,1,0,0,1,1,1,0,1,1,0,3,0,3,3,0
0,2,4,1,1,0,1,0,1,0,1,1,0,4,1,0,1,1,2,2,2,2,1,1,1,2,1,0,2,0,1,1,1,0,0,1,3,1,0,1,0,1,1,2,3,2,0,0,0,3,1,1,2
0,4,0,0,2,2,1,1,1,0,2,0,1,1,2,1,0,2,1,1,0,0,2,3,1,0,4,0,1,1,1,0,1,4,2,1,1,0,5,0,0,0,1,1,0,3,1,0,1,1,0,1,2
1,1,0,1,2,1,1,1,3,2,2,2,3,1,2,2,0,0,1,1,2,2,0,2,1,3,0,0,0,1,1,1,1,0,0,1,0,1,0,2,4,2,1,0,1,4,1,0,0,0,2,0,0
2,0,1,0,0,3,1,0,0,0,2,0,2,0,2,1,2,1,4,0,0,0,0,1,1,3,5,3,1,0,5,1,0,0,1,1,0,2,0,2,1,0,1,2,0,2,0,0,2,1,2,0,2
1,1,0,0,0,1,2,2,1,2,0,0,1,1,1,1,0,2,0,1,0,1,3,4,1,0,1,3,1,1,1,1,3,1,1,1,0,1,0,2,1,0,1,1,2,1,2,0,2,1,3,1,2
2,4,0,2,1,1,2,1,2,2,0,0,0,2,1,2,0,1,2,1,0,1,4,1,1,0,1,5,0,0,1,1,1,1,2,2,3,0,0,2,0,2,0,0,0,0,0,0,1,2,0,2,1
1,0,0,2,2,1,5,3,3,1,0,2,0,1,1,1,0,3,0,1,1,1,0,0,0,1,1,3,1,1,0,1,1,0,0,0,1,1,3,1,3,1,2,2,2,1,1,0,1,0,0,2,1
3,1,0,0,0,4,4,1,1,1,1,2,1,2,2,2,3,1,0,1,0,0,1,1,2,0,1,1,1,2,0,3,1,2,2,3,0,1,1,0,1,1,0,0,1,0,0,0,2,0,2,0,1
2,0,1,3,2,0,4,0,1,0,0,2,2,2,2,2,0,0,0,1,0,3,1,2,0,0,1,1,0,1,0,0,5,0,1,3,0,2,0,0,4,2,2,1,0,0,0,0,1,2,1,1,2
1,2,0,0,0,0,0,0,4,2,1,1,1,1,1,1,3,2,2,2,3,1,1,1,0,1,2,1,0,1,1,1,1,2,2,1,0,0,4,1,1,2,2,0,0,1,1,0,0,3,0,1,1
2,2,1,1,0,0,1,0,1,0,2,2,2,0,1,1,3,0,1,0,1,1,2,0,0,1,0,0,2,1,0,1,0,3,2,3,1,0,5,0,0,3,3,1,1,2,0,0,5,2,0,0,0
1,1,2,3,0,3,1,1,2,0,1,0,2,0,1,0,1,1,2,1,4,1,1,1,1,1,1,2,1,3,0,1,1,1,0,3,2,1,0,1,2,2,0,1,0,0,1,0,1,0,0,2,2
2,1,2,1,3,1,1,0,2,6,0,2,2,1,0,1,0,0,1,0,0,0,0,2,0,0,0,1,2,1,0,1,3,0,0,2,2,3,2,2,0,1,1,0,2,2,1,0,1,1,0,2,2
1,0,1,2,0,0,2,0,1,0,4,3,0,0,1,0,0,1,0,3,2,1,5,1,2,2,1,0,0,2,1,0,0,0,2,2,0,1,2,2,3,1,2,2,0,0,0,0,1,0,2,2,2
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,15,15,0,0,0,0,0,0,0,0
0,0,15,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0
15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,15,0,0
0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,15,0,0,15,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0
0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0
0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,40,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,30,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,30,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0
0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,2,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,1,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,2,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,2,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,2,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,2,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,3,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,2,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,3,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,2,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,4,3,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,3,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,2,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,3,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,2,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,3,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,7,4,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,2,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,5,1,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,6,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,7,4,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,3,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,2,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,5,2,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,7,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,4,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,3,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,7,4,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,5,3,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,7,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,7,5,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,3,3,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,4,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,9,5,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,7,7,9,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,6,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,3,4,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,9,4,7,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,10,6,4,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,7,9,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,8,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,4,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,4,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,6,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,9,8,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,5,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,5,9,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,8,5,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,7,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,8,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,6,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,5,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,9,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,9,8,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,8,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,6,16,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,7,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,11,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,10,9,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,9,9,9,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,6,17,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,10,7,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,10,12,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,10,9,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,6,19,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,11,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,12,12,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,11,9,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,7,19,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,13,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,13,12,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,11,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,11,9,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,7,20,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,13,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,13,14,6,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,11,11,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,13,9,13,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,7,21,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,15,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,13,14,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,11,11,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,13,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,9,21,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,17,7,11,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,14,15,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,12,11,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,13,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,7,9,22,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,17,8,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,14,17,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,13,11,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,14,9,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,8,10,22,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,17,9,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,14,18,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,14,12,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,15,10,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,8,10,23,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,17,10,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,14,18,8,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,14,13,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,15,11,14,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,8,10,24,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,17,10,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,15,18,9,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,14,14,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,15,12,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,8,10,25,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,18,10,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,16,18,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,15,14,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,15,14,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,10,10,25,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,18,11,12,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,18,18,10,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,14,16,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,16,14,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,3,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,0,1,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,3,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0
0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,2,0,1,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,1,2,0,1,1,1,0,1,0,0,0,0,0,0
0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,3,0,0,0,1,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,1,0,3,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,0,1,2,0,0,0,1,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,2,0,1,0,2,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,3,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,2,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,1,0,3,1,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0
1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,2,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,1,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,3,0,1,0,1,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,2,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,2,0,1,2,1,0,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,3,0,0,1,0,1,1,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,2,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,3,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,4,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,3,0,0,0,1,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,0,0,2,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,1,0,1,0,3,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0
0,0,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,2,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,1,1,3,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,0,2,0,1,1,1,0,0,0,2,0,1,0,2,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0,3,0,0,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,2,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,1,2,0,0,0,1,1,0,3,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,1,0,1,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0
1,1,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,3,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,1,0,2,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,1,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,3,0,1,0,1,0,1,0,0,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,0,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,2,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,2,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,2,0,1,2,2,0,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,3,0,0,1,0,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,3,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,4,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,3,0,0,0,1,0,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,1,0,2,1,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,1,0,1,0,3,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,2,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,3,0,1,0,1,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,2,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1,1,1,3,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,0,3,0,1,1,1,0,0,0,2,0,1,0,2,0,0,0,0,2,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,3,0,0,0,1,2,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,3,0,1,0,0,0,1,1,0,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,2,0,0,0,1,3,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,0,3,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,1,0,0,3,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,4,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,1,0,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,1,1,0,1,0,2,0,2,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,3,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,3,0,1,0,1,0,1,0,0,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,2,1,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,2,0,1,2,3,0,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,3,0,0,1,0,1,2,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,4,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,2,0,0,0,0,0,3,2,0,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,4,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,3,0,0,0,1,0,2,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,3,1,1,0,1,0,1,0,2,2,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,0,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,2,0,0,0,1,1,0,0,1,1,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,1,1,1,1,0,0,0,0,1,2,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,2,0,1,0,0,0,0,1,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,3,0,1,0,1,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,3,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,1,1,1,3,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,3,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,2,0,1,1,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,1,0,0,0,0,3,0,2,1,1,0,0,0,2,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0
0,0,1,1,0,0,0,1,3,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,2,0,1,0,0,3,0,0,0,1,2,0,1,1,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,3,0,1,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,0,0,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,0,2,0,0,1,1,4,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,0,3,1,0,0,0,0,0,0,0
1,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,0,0,0,1,0,0,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,0,2,0,1,0,1,0,1,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,0,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,4,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,2,1,2,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,1,2,0,1,0,2,0,2,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,0,2,0,1,1,0,3,0,0,0,0,1,0,1,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,3,0,1,0,1,0,1,0,0,3,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,2,1,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,2,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,3,0,0,1,2,0,1,2,3,0,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,0,3,0,0,1,0,1,2,0,0,0,1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,4,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,1,3,1,0,0,0,0,2,0,0,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,3,2,0,0,1,1,2,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,4,0,0,1,0,0,2,1,0,1,0,0,0,0,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,3,0,0,0,1,0,2,2,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,3,1,1,0,1,0,1,0,2,2,0,1,1,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,0,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,3,0,0,0,1,1,1,0,1,1,0,2,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,2,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,2,1,1,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,0,0,0,1,0,2,1,0,1,1,1,1,0,0,0,0,2,2,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,2,1,2,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,1,0,0,0,1,2,3,0,1,0,2,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,1,1,0,0,0,3,0,0,2,0,2,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,3,0,1,0,0,0,1,2,0,0,0,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,1,0,0,0,0,2,0,0,0,2,0,0,0,0,2,1,0,0,0,2,1,1,1,1,1,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,1,1,1,3,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,3,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,1,1,2,0,1,1,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,1,0,0,0,1,3,0,2,1,1,0,0,0,2,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,2,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,2,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,2,0,0,1,0,0,0,0,0,0
1,0,0,0,1,2,0,1,0,0,3,0,0,0,1,2,0,1,1,0,2,1,1,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,3,0,2,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,1,3,0,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,2,1,1,0,1,1,1,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,2,0,0,2,0,1,1,1,4,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,0,3,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,2,1,0,0,0,2,0,0,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,0,1,1,0,2,0,2,0,1,0,2,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,1,2,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,2,0,1,0,0,3,1,0,0,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,4,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,2,1,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,2,1,2,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0
0,1,0,1,1,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,1,2,0,1,0,2,0,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,0,0,2,0,1,1,1,3,0,0,0,0,1,0,1,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,2,3,0,1,0,1,0,1,0,0,3,0,2,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,0,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,2,2,1,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,0,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,2,0,1,0,1,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,3,0,0,1,2,0,1,2,3,0,1,0,0,0,0,0,0
0,0,1,1,0,1,0,0,0,1,3,0,1,1,0,1,2,0,0,0,1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,4,2,0,2,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,2,3,1,0,0,0,0,2,0,0,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,0,1,0,1,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,0,1,0,0,0,0,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,3,0,0,0,1,0,2,2,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,3,1,1,0,1,0,1,0,2,2,0,2,1,0,0,1,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,2,0,1,1,0,1,1,2,0,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,3,0,0,0,1,1,1,0,1,1,1,2,1,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0
0,0,0,0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,1,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,2,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,2,1,1,0,1,1,1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,2,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,1,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,2,2,1,1,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,2,1,2,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,1,0,1,2,0,0,1,1,2,3,0,1,0,2,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,1,0,1,0,0,0,0,1,1,0,0,0,3,0,0,2,0,2,0,0,1,0,1,0,0,1,3,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0
0,1,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,3,0,2,0,0,0,1,2,0,0,1,0,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,2,1,0,0,0,0,2,0,0,0,3,0,0,0,0,2,1,0,0,0,2,1,1,1,1,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,2,1,1,3,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,2,0,3,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,1,1,2,0,1,2,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,1,0,0,0,1,3,0,2,1,1,0,0,0,3,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,0,2,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,2,2,0,0,1,0,0,0,0,0,0
1,0,0,0,1,3,0,1,0,0,3,0,0,0,1,2,0,1,1,0,2,1,1,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,3,0,2,0,0,0,1,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,1,3,0,0,2,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,2,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,1,1,0,2,1,1,0,0,1,2,0,1,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,2,1,1,0,2,1,1,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,2,0,0,2,0,1,1,1,4,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,2,1,1,0,1,0,1,0,0,0,0,0,0
0,0,1,0,1,0,2,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,1,0,0,2,1,1,0,0,2,0,0,1,0,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,0,2,0,2,0,1,0,2,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,1,2,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,0,3,1,0,0,0,0,1,1,0,0,0,0,0,0
0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,2,2,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,2,1,0,1,0,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0
0,2,0,1,1,0,1,0,0,2,0,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,2,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,0,0,1,0,1,2,0,1,0,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,0,1,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,2,3,0,1,0,1,0,1,0,0,3,0,2,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,1,0,0,0,1,0,1,0,1,1,0,0,2,0,1,0,0,1,1,0,1,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,2,2,1,0,2,0,1,0,1,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,2,0,0,0,0,1,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,2,0,1,0,1,1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,3,0,1,1,2,0,1,2,3,0,1,0,0,0,0,0,0
0,0,1,1,0,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,1,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,1,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,2,3,1,0,0,0,0,2,0,0,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,0,1,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,0,1,0,2,0,0,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,1,3,0,0,0,1,0,2,2,1,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0
0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,3,1,1,0,1,0,1,0,2,2,0,2,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,0,0,2,0,1,1,0,0,0,1,0,0,0,2,1,1,2,0,1,1,2,0,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,3,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0
0,0,0,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,2,1,2,0,0,0,1,0,0,1,1,0,0,0,0,0,0
0,1,0,0,1,0,0,2,2,1,1,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,1,0,0,1,0,2,1,1,1,1,1,1,0,0,0,0,2,2,1,1,0,0,1,1,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,1,2,1,2,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,2,0,0,1,1,2,4,0,1,0,2,1,0,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,1,0,0,0,3,0,0,2,0,2,0,0,1,0,1,0,0,1,3,0,0,0,0,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,3,0,2,0,0,0,1,2,0,0,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,0,2,0,0,0,3,0,0,0,0,2,1,0,0,0,2,1,1,1,1,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,2,1,1,3,1,0,1,1,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,2,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,2,0,3,1,1,0,0,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,1,1,2,0,1,2,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,1,0,0,0,1,3,0,2,1,1,0,0,0,3,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0
1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,2,2,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,1,3,0,2,0,0,3,0,0,0,1,2,0,1,1,0,2,1,1,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,3,0,2,0,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,2,3,0,0,2,0,0,0,0,0,0,0,2,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,2,1,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,1,0,0,0,1,0,1,0,0,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,2,0,0,0,1,1,1,0,0,2,0,1,1,1,0,0,0,1,0,0,0,2,1,1,0,2,1,1,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,1,1,1,4,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,2,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,2,1,1,1,1,0,1,0,0,0,0,0,0
0,0,1,0,1,0,3,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,1,2,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0
2,0,0,0,1,0,1,0,1,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,2,1,1,0,0,2,0,0,1,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,1,1,1,1,0,2,0,2,0,1,0,2,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,0,1,1,1,1,3,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,0,3,2,0,0,0,0,1,1,0,0,0,0,0,0
0,2,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,2,1,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,1,1,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,0,3,3,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,2,1,0,1,0,2,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
0,2,0,1,1,0,1,0,0,2,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,1,1,0,1,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,1,2,0,1,1,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,1,1,2,2,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,1,0,0,1,1,2,3,0,1,1,1,0,1,0,0,3,0,2,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0
0,1,0,1,1,1,2,1,1,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,0,1,2,0,1,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,2,2,1,0,2,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,2,0,0,1,0,1,0,1,1,1,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,1,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,3,0,1,1,2,0,1,2,3,0,1,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,1,0,1,2,0,0,0,2,0,0,0,0,0,0,1,0,2,2,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,2,3,1,0,1,1,0,2,0,0,0,0,0,0
0,1,0,0,0,3,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,0,1,0,2,0,0,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,3,1,0,0,1,0,2,2,1,0,0,1,2,0,0,2,0,1,0,0,0,0,0,0
0,0,0,2,1,0,1,0,1,0,0,0,1,1,0,1,0,3,1,1,0,1,0,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,0,0,2,0,1,2,0,0,0,1,0,0,0,2,1,1,2,0,1,1,2,0,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,1,2,1,0,0,1,4,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0
0,0,1,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,2,0,1,1,0,3,0,0,1,0,0,0,1,1,1,0,1,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0
1,1,0,1,1,0,0,2,2,1,1,0,1,1,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,2,0,0,1,0,2,1,1,1,1,1,1,0,0,0,1,2,2,1,1,0,0,1,1,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,2,1,2,1,2,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,2,1,0,1,1,2,4,0,1,0,2,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,2,0,0,0,3,0,1,2,0,2,0,0,1,0,1,0,0,1,3,0,0,0,0,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,3,0,2,0,1,0,1,2,1,0,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,1,2,0,0,0,3,0,0,0,0,2,1,0,0,0,2,1,1,1,2,2,0,0,0,0,0,0,0,0
2,0,0,0,0,0,0,1,0,2,1,1,3,1,0,1,1,0,0,1,1,0,0,0,1,2,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,0,1,0,0,1,1,2,1,2,0,3,1,1,0,0,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,1,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,1,1,2,0,1,2,2,1,0,2,0,1,0,0,1,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,1,0,0,0,1,3,0,2,1,1,0,1,0,3,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0
2,1,1,1,0,2,0,1,0,0,1,0,0,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,2,0,1,1,0,1,0,0,1,0,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,2,2,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,1,3,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,1,3,0,2,0,0,3,0,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,1,0,0,0,0,3,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,2,0,0,0,2,1,0,0,1,0,1,1,3,0,2,0,0,0,2,1,1,0,1,0,2,1,0,0,0,0,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,0,0,0,2,3,0,0,2,0,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,2,1,3,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,1,0,1,0,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,2,0,2,0,0,0,1,1,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,1,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,1,0,2,0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,1,1,1,4,0,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,0,1,0,1,0,0,0,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,0,0,0,0,0
0,0,1,0,1,0,3,0,0,2,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,1,3,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0
2,0,0,0,1,1,1,0,1,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,2,1,1,0,0,3,0,0,1,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0,2,0,2,0,2,0,2,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,1,1,1,1,1,4,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,0,3,2,0,0,0,0,1,1,0,0,0,0,0,0
0,2,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,2,0,1,0,0,0,0,3,1,3,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,2,1,1,0,1,2,0,0,2,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,0,0,1,0,3,3,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,1,1,0,0,1,0,0,0,0,0,2,0,0,0,2,1,2,2,0,1,0,2,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
0,2,0,1,1,1,1,0,0,2,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,2,1,1,1,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,1,2,0,1,2,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,2,1,2,2,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,2,0,1,0,0,1,1,2,3,0,1,1,1,0,1,0,0,3,0,2,1,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0
1,1,0,1,1,1,2,1,2,0,0,0,1,1,1,0,1,1,0,0,2,0,1,0,0,1,2,0,1,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,1,2,2,1,0,2,0,1,0,1,2,0,0,1,0,0,1,0,0,1,0,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,2,0,0,1,0,1,0,1,1,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,1,0,2,1,0,0,0,2,0,2,1,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,1,0,2,0,1,2,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,0,0,0,3,0,2,1,2,0,1,2,3,0,1,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,1,0,1,2,0,0,0,2,0,0,1,0,0,0,1,0,2,3,0,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,0,1,0,0,2,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,2,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,0,1,0,2,0,2,1,0,1,3,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,1,0,0,2,3,1,0,0,1,0,2,2,1,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,2,0,1,0,0,0,1,1,0,1,0,3,1,1,0,1,1,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,0,2,0,0,1,1,0,0,0,2,0,1,2,0,0,0,1,0,0,0,2,1,1,2,0,1,1,2,1,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,1,0,0,1,4,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0
0,0,1,0,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,1,0,0,0,1,1,1,0,1,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,2,1,0,1,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,2,0,0,1,0,2,1,1,1,1,1,1,0,0,0,1,2,2,1,1,0,0,2,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,2,1,2,1,2,0,1,0,0,0,0,2,0,1,0,0,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,1,2,1,0,1,2,2,5,0,1,0,2,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0
1,0,1,0,1,0,1,0,0,1,2,0,0,0,3,0,1,2,0,2,0,0,1,0,1,0,0,2,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,1,4,1,0,0,0,3,0,2,0,1,0,1,2,1,0,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,1,2,0,0,0,3,0,0,0,0,2,1,0,0,0,2,1,1,2,2,2,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,1,2,1,0,0,0,1,1,0,0,0,2,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,1,2,1,2,0,3,1,1,1,0,0,1,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,1,1,2,0,1,2,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,0,0,1,1,1,0,1,0,0,0,3,3,0,2,1,1,0,1,0,3,0,1,0,2,0,0,0,0,2,1,2,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0
2,1,1,1,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,1,2,2,0,1,1,0,0,0,1,1,0,0,0,0,0,0
2,0,0,2,0,1,1,0,1,0,0,1,1,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,3,2,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,2,4,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,1,3,0,2,0,0,3,0,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,3,0,0,0,2,1,0,0,1,0,1,1,3,0,2,0,0,0,2,1,1,0,1,0,2,1,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,0,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,2,1,3,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,0,1,1,0,2,1,1,0,1,1,2,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,1,0,1,0,1,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,2,0,2,0,0,0,1,1,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,1,0,2,0,0,1,0,0,3,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,1,1,1,4,1,1,0,0,1,0,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,1,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,2,1,1,1,1,0,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,1,3,0,0,0,1,1,1,3,1,0,0,0,0,0,0,0
2,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,1,0,0,2,1,1,0,0,3,0,0,1,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0,2,0,2,0,2,0,2,0,0,4,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,2,1,1,1,1,4,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,0,3,2,1,0,0,0,1,1,0,0,0,0,0,0
0,2,0,1,1,0,1,0,0,1,0,1,0,2,0,0,0,0,1,0,2,1,1,0,0,0,0,3,1,4,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,2,1,1,0,1,2,0,0,2,1,0,0,0,0,2,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,2,1,0,1,0,3,3,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,1,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,2,0,1,0,2,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
0,2,0,1,1,1,1,0,0,2,0,0,2,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,2,2,1,1,2,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,1,2,0,1,2,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,2,2,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,2,1,2,2,0,1,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,2,0,1,0,0,1,1,2,3,0,1,1,1,1,1,0,0,3,0,2,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0
2,1,0,1,1,1,2,1,2,0,0,0,1,1,1,0,1,1,0,0,3,0,1,0,0,1,2,0,1,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,2,2,1,0,2,0,1,0,1,2,0,0,1,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,1,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,2,1,0,1,0,2,0,1,1,1,2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,1,1,0,2,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,1,0,2,0,1,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,3,0,2,1,2,0,1,2,3,0,1,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,2,0,1,2,0,0,0,2,0,0,1,0,0,0,1,0,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,0,1,0,0,3,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,2,1,2,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,2,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,1,0,0,1,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,1,1,0,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,1,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,3,1,0,0,1,0,2,2,1,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,2,0,1,0,0,0,1,1,0,1,0,3,1,1,0,2,1,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0
0,0,2,1,0,1,1,0,0,0,2,0,1,2,0,0,0,1,0,0,0,3,1,1,2,0,1,1,2,1,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0
0,0,1,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,1,0,0,0,2,1,1,0,1,2,1,2,0,0,0,1,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,1,2,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,0,2,0,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,2,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,2,1,2,1,2,0,1,0,0,0,1,2,0,1,0,0,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,2,2,1,0,1,3,2,5,0,1,0,2,1,0,2,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0
1,0,1,0,1,0,1,1,1,1,2,0,0,0,3,0,1,2,0,2,0,0,1,0,1,0,0,2,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,2,4,1,0,0,0,3,1,2,0,1,0,1,2,1,0,1,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,1,1,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,1,2,0,0,0,3,1,0,0,0,2,2,0,0,0,2,1,1,2,2,2,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,2,2,1,0,0,0,1,1,1,0,0,2,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,1,1,2,1,2,0,3,1,1,2,0,1,1,0,1,1,0,2,1,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0
0,1,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,0,1,0,0,0,1,1,2,0,1,2,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,1,0,0,0,3,3,0,2,1,1,0,1,0,3,0,2,0,2,0,0,0,0,2,1,2,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0
3,1,1,1,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,1,2,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0
2,0,0,2,0,1,2,0,1,1,0,1,1,1,1,0,0,0,2,1,0,0,0,1,0,2,0,0,0,3,2,1,2,0,0,0,1,0,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,2,4,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,1,3,0,2,0,0,3,0,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,3,0,0,0,2,1,0,0,1,0,1,1,3,0,2,0,0,0,2,1,1,0,1,1,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,0,1,0,2,1,0,0,2,1,3,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,0,2,1,1,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,1,0,1,0,1,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,1,1,0,3,0,2,0,0,0,1,1,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,1,0,2,0,0,1,0,0,3,1,1,0,0,1,0,0,0,0,1,2,0,0,1,0,1,2,0,0,2,0,1,1,1,4,1,2,0,0,1,1,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,1,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,2,1,1,1,2,0,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,2,1,0,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,2,0,1,3,0,0,0,1,1,1,3,1,1,0,0,0,0,0,0
2,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,2,0,0,2,1,1,0,0,3,0,0,2,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0,2,0,2,0,2,1,2,0,0,4,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,2,1,1,2,1,4,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,2,0,1,0,0,0,1,0,2,0,1,0,0,3,2,1,0,0,0,1,1,0,0,0,0,0,0
0,2,0,2,1,0,1,0,0,1,0,1,0,3,0,0,0,0,1,0,2,1,1,0,0,0,0,3,1,4,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,2,2,1,0,1,2,0,0,2,1,0,0,0,0,2,0,2,0,1,1,0,0,0,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,0,2,1,0,0,1,1,2,1,0,1,0,3,3,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,2,0,1,0,2,1,2,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
0,2,0,1,1,1,1,0,0,2,0,0,2,2,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,2,2,1,1,2,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,2,2,0,1,2,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,2,0,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,2,1,3,2,0,1,2,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,2,0,1,0,1,1,1,2,3,0,1,1,1,1,1,1,0,3,0,2,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,1,1,1,1,1,0,0,3,0,1,0,0,1,2,0,1,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,3,2,1,0,2,0,1,0,1,2,0,0,1,0,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,0,3,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,2,1,0,1,0,2,0,1,2,1,2,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,2,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,2,0,2,0,1,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,0,4,0,2,1,2,0,1,2,3,0,1,0,0,0,0,0,0
1,0,1,1,0,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,2,0,2,2,0,0,0,3,0,0,1,0,0,0,1,0,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,2,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,1,1,0,0,4,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,1,1,1,1,0,2,1,2,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,2,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,2,1,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,2,0,0,1,0,0,0,2,3,2,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,4,1,0,1,0,1,2,1,1,2,0,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,2,0,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,3,1,0,1,1,0,2,2,1,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,2,0,1,0,0,1,1,1,0,1,0,3,2,1,0,2,1,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0
0,0,2,1,0,1,1,0,0,0,2,0,1,2,0,0,0,1,0,0,0,4,1,1,2,0,2,1,2,1,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,0,0,0,1,1,1,0,2,1,1,2,1,2,0,0,2,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0
0,0,1,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,2,0,0,0,2,1,1,0,1,2,1,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,0,0,0,0,3,0,1,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0
1,1,0,2,0,0,1,0,2,0,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,1,0,1,1,0,0,1,1,1,1,2,1,2,1,2,0,1,0,0,0,1,2,0,1,0,0,2,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,2,2,1,0,1,3,2,5,0,1,0,2,1,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,2,0,0,0,4,0,1,2,0,2,0,0,1,0,1,0,0,2,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,2,4,1,0,0,0,3,1,3,0,1,0,1,2,1,0,1,1,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,1,1,0,0,0,2,0,0,1,1,0,0,1,2,1,1,0,0,1,2,0,0,0,3,1,0,0,0,2,2,0,0,0,2,1,1,2,2,2,0,0,0,0,0,0,0,0
2,0,1,0,0,0,0,1,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,2,2,1,0,0,1,1,1,1,0,0,3,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,2,1,2,1,2,0,3,1,1,2,0,1,1,0,1,1,0,2,2,1,1,0,1,0,1,0,0,0,1,2,0,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,0,1,0,0,1,1,1,2,0,1,2,2,1,0,2,0,1,0,1,1,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,1,0,0,0,3,3,0,2,1,1,0,1,0,3,0,2,0,2,0,0,0,0,4,1,2,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0
3,1,2,1,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,1,1,0,0,1,2,0,1,3,2,0,1,1,0,0,1,1,1,0,0,0,0,0,0
2,0,0,2,0,1,2,0,1,1,0,1,1,1,1,0,0,0,2,1,0,0,0,1,0,2,1,0,0,3,2,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,0,0,0,2,4,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,2,3,0,2,0,0,3,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,3,0,0,0,2,1,0,0,1,0,1,1,3,0,2,0,0,0,2,1,2,1,1,1,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,1,0,2,1,0,0,2,1,3,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,1,2,1,1,0,1,2,2,0,1,0,0,0,1,0,0,0,0,1,1,1,2,1,2,0,1,0,1,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,1,1,0,3,0,2,1,0,0,1,2,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,0,2,1,0,0,0,1,0,2,0,0,1,0,0,3,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,1,1,1,4,1,3,0,0,1,1,0,0,0,0,0,0
0,1,0,2,0,1,0,1,0,0,1,1,0,1,0,0,1,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,2,0,0,0,1,2,0,1,3,0,0,0,1,1,1,3,1,1,0,0,0,0,0,0
3,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,2,1,0,2,1,1,0,0,3,0,0,2,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0,2,0,2,0,2,1,2,1,0,4,1,0,0,0,0,2,0,1,1,0,0,0,1,1,0,1,0,1,0,2,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,2,1,1,2,1,4,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,3,0,1,0,0,0,1,1,2,0,1,0,0,3,2,1,0,0,0,1,1,0,0,0,0,0,0
0,2,0,2,1,0,1,0,0,1,0,1,0,3,0,1,1,0,1,0,2,1,1,0,0,0,0,3,1,4,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,0,0,0,1,2,0,0,1,1,1,2,2,1,0,1,2,0,0,2,1,0,0,0,0,2,0,3,0,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,5,0,1,0,1,0,0,0,0,1,1,2,1,0,0,1,1,2,1,0,1,0,3,3,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,2,1,1,0,2,1,2,0,1,0,1,0,1,1,1,0,1,1,2,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0
0,3,0,1,1,1,1,0,0,2,0,0,2,2,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,2,2,1,1,2,0,2,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0
0,0,1,0,1,0,2,2,0,2,2,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0
1,0,0,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,2,1,3,2,0,1,3,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,2,0,1,0,1,2,1,2,3,0,1,1,1,1,1,1,0,3,0,2,1,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,1,1,1,1,1,0,0,3,0,1,0,0,1,3,0,1,0,1,1,0,0,0,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,3,3,1,0,2,0,1,0,1,2,0,0,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,0,1,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,0,4,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,2,1,0,1,0,2,1,1,2,1,2,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,2,1,0,0,0,2,1,2,1,0,0,0,1,0,1,0,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,3,0,2,0,2,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,2,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,1,4,0,2,1,2,0,1,2,3,0,1,0,0,0,0,0,0
1,0,1,2,1,2,0,0,0,1,3,0,1,1,0,1,3,0,0,0,1,2,0,2,2,0,0,0,3,0,0,1,0,0,0,1,0,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,4,2,0,2,1,2,0,0,4,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,0,1,0,0,1,0,1,0,2,1,1,1,0,2,1,2,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,3,1,2,0,0,0,1,1,0,1,1,1,1,0,1,2,0,0,2,0,0,1,0,0,0,2,4,2,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,1,1,1,1,1,1,0,0,2,0,1,0,0,0,1,4,1,0,1,0,1,2,1,1,2,0,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,2,1,1,0,0,2,3,2,0,1,1,0,2,2,1,0,0,1,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,2,0,1,0,0,1,1,1,0,1,0,3,3,1,0,2,1,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0
0,0,2,1,0,1,1,1,0,0,2,0,1,2,0,0,0,1,0,0,0,4,1,1,2,0,2,1,2,1,1,0,3,0,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,0,0,0,1,1,1,0,2,1,2,2,1,3,0,0,2,0,0,0,1,0,1,1,1,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,1,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,2,0,0,0,2,2,1,0,1,2,1,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,0,0,2,2,1,1,1,1,1,1,0,0,0,2,1,0,0,0,3,0,2,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,1,2,1,0,0,0,0,0,0,0
1,2,0,2,0,0,1,0,3,0,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,0,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,1,0,1,1,0,0,1,1,1,1,2,1,2,1,2,0,1,0,1,1,1,2,0,1,0,0,2,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,2,2,1,0,1,3,2,5,0,1,0,2,1,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,2,0,0,0,4,0,1,2,0,2,0,0,1,0,1,0,0,2,3,0,0,0,1,1,2,1,0,0,0,1,0,0,0,3,1,1,1,0,0,0,0,0,0
0,1,0,0,1,2,1,1,1,0,0,0,0,0,1,0,0,0,2,4,1,0,0,0,3,1,3,0,1,0,1,2,1,0,1,2,3,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,2,1,0,0,0,2,0,0,1,1,0,0,1,2,1,1,0,0,1,2,0,0,0,3,1,0,0,0,2,2,0,0,0,2,1,1,2,3,2,0,0,0,0,0,0,0,0
2,0,1,0,0,1,0,2,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,2,2,1,0,0,1,1,1,1,0,0,3,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,0,0,2,1,2,1,2,0,3,1,1,2,0,1,1,0,1,1,0,2,2,1,1,0,1,0,2,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,0,1,0,0,1,1,1,2,0,2,2,2,1,0,2,0,1,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,1,0,0,0,3,3,0,2,1,1,0,1,0,4,0,2,0,2,0,0,0,0,4,1,2,0,0,1,0,2,0,1,2,0,0,0,1,0,0,0,0,0,0,0
3,1,2,1,1,2,0,1,0,0,1,0,1,1,1,0,0,0,0,2,1,0,1,0,0,1,0,0,0,2,1,0,0,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
2,0,0,2,0,1,2,0,1,1,1,1,1,1,1,0,0,1,2,1,0,0,0,1,0,2,1,0,0,3,2,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,2,4,3,0,0,0,0,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,2,2,2,0,1,1,0,0,0,0,0,0
1,0,0,0,2,3,0,2,0,0,3,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,4,0,0,0,2,2,0,0,1,0,1,1,3,0,2,0,0,0,2,1,2,1,1,1,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,1,0,0,0,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,2,0,2,1,0,1,2,1,3,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,1,2,1,2,0,1,2,2,0,1,1,0,0,1,0,0,0,0,1,1,1,2,1,2,0,1,0,1,1,2,0,1,0,1,1,0,2,0,0,0,0,0,0
1,0,0,0,0,0,0,1,1,1,1,1,1,1,0,3,0,2,2,0,0,1,3,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,1,2,1,0,0,0,1,0,2,0,0,1,0,0,3,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,1,1,1,4,1,3,0,1,1,1,0,0,0,0,0,0
0,1,0,2,0,1,0,2,0,0,1,1,1,1,0,0,1,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,2,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,1,2,0,0,0,1,2,0,1,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,0,0,0,1,2,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,2,1,0,2,1,2,0,0,3,1,0,2,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,1,1,0,3,0,2,0,2,1,2,1,0,4,1,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,0,1,0,2,1,1,1,0,2,0,0,0,0,0,0,0,0
0,0,0,2,1,1,2,1,4,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,1,0,3,1,1,0,0,0,1,1,2,0,1,0,0,3,2,1,0,1,0,1,1,0,0,0,0,0,0
0,3,0,2,2,0,1,0,0,1,0,1,0,3,0,1,1,0,1,0,2,1,1,0,0,0,0,3,1,4,0,0,0,1,0,1,0,0,0,1,4,0,0,0,1,0,2,0,0,0,0,0,0
1,1,1,1,0,0,1,2,0,0,1,1,1,2,2,1,0,1,2,1,0,2,1,0,0,0,0,2,0,3,0,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,5,0,1,0,2,0,0,1,0,1,1,2,1,0,0,1,1,2,1,0,1,0,3,3,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,2,1,1,1,2,1,2,0,1,0,1,0,1,1,1,0,1,1,2,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0
0,3,0,1,1,1,1,0,0,2,0,0,2,2,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,2,1,1,2,0,2,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0
1,0,1,0,1,0,2,2,0,2,3,2,1,3,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,2,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,2,0,0,0,1,0,2,0,2,1,1,3,0,0,0,0,1,1,2,2,3,2,0,1,3,0,0,1,0,0,1,1,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,1,0,3,0,2,1,1,0,1,0,2,0,0,1,1,0,1,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,1,1,1,1,1,0,0,3,0,1,0,0,1,3,0,1,0,1,1,0,0,1,3,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,3,3,1,0,2,0,1,0,1,2,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,0,1,1,1,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,1,4,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,2,0,2,1,0,1,1,2,1,1,2,1,2,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,2,1,0,0,0,2,1,2,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,3,1,2,0,2,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,2,1,2,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,1,0,0,1,4,1,2,1,2,0,2,2,3,0,1,0,0,0,0,0,0
1,0,1,2,1,2,0,0,0,1,3,0,1,1,0,1,4,0,0,0,1,2,0,2,2,0,0,0,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,4,2,0,2,1,2,0,0,4,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,1,2,1,1,1,0,2,1,2,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,3,1,2,0,0,0,2,1,0,1,1,1,1,0,1,2,0,0,2,0,0,2,0,0,0,2,4,2,1,0,0,0,0,0,0,0,0,0
2,0,0,0,0,2,1,1,1,1,1,1,0,2,0,1,0,0,0,1,4,1,0,1,0,1,2,1,1,2,0,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,2,1,1,0,0,2,3,2,0,1,1,0,2,2,1,0,0,2,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,2,0,1,0,0,1,1,1,0,1,1,3,3,1,0,2,1,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0
0,0,3,1,0,1,1,1,0,0,2,0,1,2,0,0,0,1,0,0,0,4,1,1,2,0,2,1,2,1,1,0,3,1,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,0,0,0,1,1,2,0,2,1,2,2,1,3,0,0,2,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,2,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,2,0,1,0,2,2,1,0,1,2,1,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,0,1,2,2,1,1,1,1,1,1,0,0,0,2,1,0,0,0,3,0,2,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,2,0,0,1,0,3,0,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,1,0,0,1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,1,0,1,1,0,0,1,1,1,1,3,1,2,1,2,0,1,0,1,1,1,2,0,1,0,0,3,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,3,2,1,0,1,3,2,6,0,1,0,2,1,0,2,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,1,0,1,0,0,2,3,0,0,0,1,1,3,1,0,0,0,1,0,0,0,3,1,1,1,0,0,0,0,0,0
0,1,0,0,1,2,2,1,1,0,0,0,0,0,1,0,0,0,3,4,1,0,0,0,3,1,3,0,1,0,1,2,1,0,1,2,3,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,1,1,0,2,1,0,0,0,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,0,3,1,0,0,0,2,2,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,0,1,0,0,1,1,2,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,2,3,1,0,0,1,1,1,1,0,0,3,1,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,2,0,2,1,2,1,2,0,3,1,1,2,0,1,1,0,1,1,0,2,2,1,1,0,1,0,2,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,0,1,0,0,2,1,1,3,0,2,2,2,1,0,2,0,1,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,1,0,1,0,0,0,3,3,0,2,1,1,0,1,0,4,0,2,0,2,0,0,0,0,4,1,2,0,1,1,0,2,0,1,2,0,0,0,1,1,0,0,0,0,0,0
3,1,2,1,1,2,0,1,0,0,1,0,2,1,2,0,0,0,0,2,1,0,1,0,0,1,0,0,0,2,1,0,0,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
2,0,0,2,0,1,2,0,1,1,1,1,1,1,1,0,0,1,2,1,0,0,0,1,0,3,1,0,0,4,2,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,2,4,3,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,2,2,2,1,1,1,0,0,0,0,0,0
1,0,0,0,2,3,0,2,0,0,5,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,4,0,0,0,2,2,0,0,1,0,1,1,3,0,2,1,0,0,2,1,2,1,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,1,0,0,1,0,0,1,2,1,1,1,0,0,1,1,0,0,0,1,2,0,2,1,0,1,2,2,3,0,0,1,1,0,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,1,2,1,2,0,2,2,2,0,1,1,0,0,1,0,0,0,0,1,1,1,2,1,2,0,1,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,1,1,1,0,3,0,2,2,0,0,1,3,1,0,0,2,0,1,2,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,1,1,1,4,1,3,0,1,1,1,0,0,0,0,0,0
0,1,0,2,1,2,0,2,0,0,1,1,1,1,0,0,1,3,0,0,1,2,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,3,1,0,2,1,1,0,0,1,1,0,0,0,1,0,0,2,0,1,1,2,0,0,0,1,2,1,1,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,2,1,1,1,0,0,0,0,1,2,1,1,0,1,0,1,2,1,0,2,1,2,0,0,3,1,0,3,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,1,2,1,0,4,1,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,0,1,0,2,1,1,1,0,3,0,0,0,0,0,0,0,0
0,0,0,2,2,1,2,1,4,1,0,0,1,1,0,0,0,0,1,0,1,0,2,1,1,0,3,1,1,0,0,0,1,1,2,0,1,0,0,3,2,1,0,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,0,1,0,3,0,1,1,0,1,0,2,1,1,0,0,0,0,3,1,4,0,0,0,1,0,1,0,0,0,1,4,1,0,0,1,0,2,0,0,0,0,0,0
1,1,1,1,0,0,1,2,0,0,1,1,1,2,2,1,1,1,2,1,0,2,1,0,0,0,0,2,0,3,1,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,1,0,1,0,0,0,1,5,0,1,0,2,0,0,1,0,1,1,2,1,0,0,1,1,2,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,2,0,0,1,2,1,2,2,1,1,1,2,1,2,0,1,0,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,1,2,0,0,0,0,0,0,0
0,3,0,1,1,1,1,1,0,2,0,0,2,2,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,2,2,1,1,2,0,2,1,3,0,0,1,0,0,1,0,0,0,0,0,0,0
1,0,1,0,1,0,2,2,0,2,3,2,1,3,0,0,1,1,1,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,3,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,2,0,0,0,2,0,2,0,2,1,1,3,0,0,0,0,1,1,2,2,3,2,0,1,3,0,0,1,0,0,1,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,1,0,3,0,2,1,1,0,1,0,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,1,1,1,1,1,0,0,3,0,2,1,0,1,3,0,1,0,1,1,0,0,1,3,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,3,3,1,0,2,0,1,0,1,2,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,1,2,1,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,2,0,2,1,0,1,1,2,1,1,2,1,2,0,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,3,1,0,0,0,2,2,2,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,0,0,0,3,0,1,0,1,3,1,2,0,2,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,3,1,2,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,2,0,2,0,0,1,4,1,2,1,2,0,2,2,3,0,1,0,0,0,0,0,0
1,0,1,2,1,2,0,0,0,1,3,0,1,1,1,1,4,0,0,0,1,3,0,2,2,0,0,0,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,0,2,1,2,0,0,4,0,0,1,0,1,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,2,2,1,1,1,0,3,1,2,0,0,1,0,2,1,1,0,1,0,1,0,0,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,3,1,2,0,0,0,2,1,0,1,1,1,1,0,1,2,0,0,2,0,0,2,0,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,1,1,1,1,1,1,0,2,0,1,0,0,0,1,4,1,0,1,0,1,2,2,1,2,0,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,0,0,0,1,0,1,0,0,1,1,0,0,1,2,1,1,0,0,2,3,2,0,1,1,0,2,2,1,0,0,2,2,0,0,2,1,1,0,0,0,0,0,0
0,0,0,2,1,0,3,0,1,0,0,1,1,1,0,1,1,3,3,1,0,2,2,1,0,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0
0,0,3,1,0,1,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,4,1,1,2,1,2,1,2,1,1,0,3,1,0,1,0,1,1,1,0,0,0,0,1,1,2,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,3,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,2,1,0,0,0,0,1,0,0,1,3,0,1,1,1,3,0,0,2,0,1,0,2,2,1,0,1,3,2,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,1,1,2,2,1,1,1,1,1,1,1,0,0,2,1,0,0,0,3,0,2,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,0,0,1,0,3,0,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,1,0,0,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,0,0,1,1,1,1,3,2,2,1,2,0,1,0,1,1,1,2,0,1,0,0,3,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,3,2,1,0,1,3,2,6,0,1,0,2,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,1,1,1,0,1,2,3,0,0,0,1,1,3,1,0,0,0,1,0,0,0,3,1,1,1,0,0,0,0,0,0
0,1,0,0,1,2,2,1,1,0,0,0,1,0,1,0,0,0,3,4,1,0,0,0,3,2,3,0,1,0,1,2,1,0,1,2,3,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,0,2,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,0,3,1,0,0,0,2,2,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,2,0,2,1,1,3,2,0,1,1,0,0,1,1,0,0,0,2,3,1,0,0,1,1,1,1,0,0,3,1,0,0,0,1,1,0,2,2,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,3,0,2,1,2,1,2,0,3,1,1,2,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,0,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,0,2,0,0,2,1,1,3,0,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,0,2,1,1,0,1,0,4,0,2,0,2,0,0,0,0,4,1,2,0,1,1,0,2,1,1,2,0,0,0,1,1,0,0,0,0,0,0
3,1,2,1,1,2,0,1,0,0,1,0,2,1,2,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,2,0,0,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
3,0,0,2,0,1,2,0,1,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,2,1,2,0,0,0,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,2,4,3,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,1,1,2,1,0,0,2,2,2,2,1,1,1,0,0,0,0,0,0
1,1,0,0,3,3,0,2,0,0,5,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,0,1,0,0,3,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,1,0,0,4,0,0,0,2,2,1,0,1,0,1,1,3,0,2,1,0,0,3,1,2,1,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,0
0,2,1,0,0,2,3,0,1,2,1,0,0,1,0,0,1,2,1,1,1,1,0,1,1,0,0,0,1,2,0,2,1,0,1,2,2,3,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,1,2,1,2,0,2,2,2,0,1,1,0,2,1,0,0,0,0,1,1,1,2,1,2,0,1,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,1,1,1,0,3,0,2,2,0,1,1,3,1,0,0,2,0,1,3,1,0,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,1,1,1,4,1,3,0,1,1,1,0,0,0,0,0,0
0,1,1,2,1,2,0,2,0,0,1,1,1,1,0,0,1,3,0,0,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,1,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,3,2,0,2,1,1,0,0,1,1,0,0,0,1,0,1,2,0,1,1,2,0,0,0,1,2,1,1,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,3,1,2,1,0,0,0,0,1,2,1,1,0,1,0,1,2,1,0,2,1,2,0,0,3,1,0,3,1,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,1,2,1,0,4,1,0,0,0,0,2,0,1,1,0,0,0,1,2,0,1,0,1,0,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,0,0,2,2,1,2,1,4,1,0,1,1,1,0,0,1,0,1,0,1,0,2,1,1,0,3,1,1,0,0,0,1,1,2,0,1,0,0,3,2,1,0,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,0,1,0,3,0,1,1,0,1,0,2,2,1,0,0,0,0,3,1,4,1,0,0,1,0,1,0,0,0,1,4,1,0,0,1,0,2,0,0,0,0,0,0
1,1,1,2,0,0,1,2,0,0,1,1,1,2,2,1,1,1,2,1,0,2,1,0,0,0,0,2,0,4,1,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,2,0,1,0,0,0,1,5,0,1,0,2,0,0,1,0,1,1,2,1,0,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,3,0,0,1,2,1,2,2,1,1,1,2,1,2,0,1,0,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,1,3,0,0,0,0,0,0,0
0,3,0,1,1,1,1,1,0,2,0,0,2,2,0,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,2,2,1,1,2,0,2,1,3,0,0,1,0,0,1,1,0,0,0,0,0,0
1,1,1,0,1,0,2,2,0,2,3,2,1,3,0,0,1,1,2,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,3,3,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,2,0,0,0,2,0,2,0,2,1,1,3,0,0,0,0,1,1,2,3,3,3,0,1,3,0,0,1,0,0,1,1,0,0,0,2,0,0,2,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,2,0,0,1,1,1,0,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,2,0,3,0,2,1,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,2,1,1,1,1,0,0,3,0,2,1,0,1,4,0,1,0,1,1,0,0,1,3,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,4,3,1,0,2,0,1,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,1,2,1,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,0,1,1,0,2,0,1,1,0,0,1,2,0,2,1,0,1,1,2,1,1,2,1,2,0,2,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
1,0,2,1,0,3,1,0,0,0,2,2,2,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,1,0,0,3,0,2,0,1,3,1,2,0,2,3,1,0,0,0,0,0,0,0,0,0,0
1,0,1,0,2,1,0,0,0,3,1,2,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,2,0,0,1,4,1,3,1,2,0,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,1,2,0,0,0,1,3,1,1,1,1,1,4,0,0,0,1,3,0,2,2,0,0,0,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,0,2,1,2,0,0,4,0,0,1,0,3,2,0,1,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0
0,0,1,1,1,0,0,1,0,1,2,2,1,1,1,0,3,1,2,0,0,1,0,2,1,1,0,1,0,1,1,1,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,0,0,3,2,0,0,3,1,3,0,0,0,2,1,1,1,1,1,1,0,1,2,0,0,2,0,0,2,0,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,1,1,1,1,1,1,0,2,0,1,0,0,0,1,4,2,0,1,0,1,2,2,1,2,1,2,0,2,1,0,1,3,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,1,0,0,1,2,1,1,0,0,2,3,2,0,1,1,0,2,2,1,0,1,2,2,0,0,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,1,1,0,1,1,3,3,1,0,2,2,1,1,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0
0,0,3,1,0,1,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,5,1,1,2,1,2,1,2,1,1,0,3,1,0,1,0,1,1,1,0,0,0,0,1,1,3,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,2,0,2,0,0,1,3,2,0,0,1,4,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,3,0,0,0,1,0,1,1,2,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,2,1,0,0,0,0,1,0,0,1,3,0,1,1,1,4,0,0,2,0,1,0,2,2,1,0,1,4,2,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,1,1,2,2,1,1,1,1,1,1,1,1,0,2,1,0,0,0,4,0,2,0,0,0,2,0,1,0,0,3,1,0,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,0,0,1,0,3,1,0,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,1,0,0,1,1,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,1,3,2,2,1,2,0,1,0,1,1,1,2,0,1,0,0,3,3,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0
0,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,4,2,2,0,1,3,2,6,0,1,0,2,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,1,2,1,0,1,2,3,0,0,0,1,1,3,1,0,0,0,1,0,0,0,3,1,2,1,0,0,0,0,0,0
0,1,0,0,1,2,3,1,1,0,0,0,1,0,1,0,0,0,3,4,1,0,0,0,3,2,3,0,1,0,1,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,1,2,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,1,3,1,0,0,0,2,2,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,0,1,0,0,2,1,2,0,2,1,1,3,2,0,1,1,0,1,1,1,0,0,0,2,3,1,0,0,1,1,1,1,0,0,3,1,0,1,0,1,1,0,2,2,1,0,0,0,0,0,0,0
0,0,1,0,0,1,0,1,1,3,0,2,1,2,1,2,0,3,2,1,2,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,0,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,1,2,0,1,2,1,1,3,0,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,0,2,1,1,0,2,0,4,0,2,0,2,0,0,0,0,4,1,2,0,1,1,0,2,1,1,2,0,0,0,2,1,0,0,0,0,0,0
3,1,2,1,1,3,0,1,0,0,1,0,2,1,2,0,0,0,0,2,1,1,1,0,0,1,0,0,0,2,2,0,1,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
3,0,0,2,0,1,2,0,1,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,2,2,2,0,0,0,2,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,2,4,3,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,2,1,2,1,0,0,2,2,2,2,1,1,2,0,0,0,0,0,0
1,1,0,0,3,3,0,2,0,0,5,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,1,2,0,0,3,2,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,1,1,0,4,0,0,0,2,2,1,0,1,0,1,1,3,0,2,1,0,0,3,1,2,1,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,0,2,3,0,3,2,1,0,0,1,0,0,1,2,1,1,1,1,0,1,1,0,0,0,1,2,0,2,1,0,1,2,2,3,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,1,0,1,1,2,2,1,2,0,2,2,2,0,1,1,0,2,1,0,0,0,0,1,2,1,2,1,2,0,1,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,2,1,1,0,3,0,2,2,0,1,1,3,1,0,0,2,0,1,3,1,1,1,0,1,0,0,0,2,1,1,0,2,1,2,0,1,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,2,1,1,4,1,3,0,2,1,1,0,0,0,0,0,0
0,1,1,2,1,2,0,3,0,0,1,1,1,1,0,0,1,3,0,0,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,0,1,1,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,2,0,3,0,0,3,2,0,2,1,1,0,0,1,1,1,0,0,1,0,1,2,0,1,1,2,0,0,0,1,2,1,2,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,3,1,2,1,0,0,0,0,1,3,1,1,0,1,0,1,2,1,0,2,1,2,0,0,3,1,0,3,2,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,1,2,1,0,4,1,0,0,0,1,2,0,1,1,0,0,0,1,3,0,1,0,1,0,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,0,0,2,2,1,2,1,4,1,0,1,1,1,0,1,1,0,1,0,1,0,2,1,1,0,3,1,1,0,0,0,1,1,2,1,1,0,0,3,2,1,0,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,0,1,0,3,0,1,2,0,1,0,3,2,1,0,0,0,0,3,1,4,1,0,0,1,0,1,0,0,0,1,4,1,0,0,1,0,2,0,0,0,0,0,0
1,1,1,2,0,0,1,3,0,0,1,1,1,2,2,1,1,1,2,1,0,2,2,0,0,0,0,2,0,4,1,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,2,0,1,0,0,1,1,5,0,1,0,2,0,0,2,0,1,1,2,1,0,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,1,2,2,0,0,1,0,0,0,0,0,3,0,0,1,2,1,2,2,1,1,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,1,3,0,0,0,0,0,0,0
0,3,0,1,1,1,1,1,0,2,0,0,2,2,0,1,1,1,0,1,1,1,0,2,0,2,1,1,1,0,0,2,2,1,1,2,0,2,1,3,0,0,1,0,0,1,1,0,0,0,0,0,0
1,1,1,0,1,0,2,2,1,2,3,2,1,3,0,0,1,1,2,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,3,3,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,2,0,0,0,2,0,2,0,2,1,1,3,0,0,0,0,1,1,2,3,3,3,0,1,3,0,0,1,0,1,1,1,0,1,0,2,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,0,0,2,0,2,0,0,1,1,1,0,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,2,0,3,0,2,1,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,1,1,1,2,1,2,0,0,0,1,2,1,1,1,1,0,1,3,0,2,1,0,1,4,0,1,0,1,1,0,0,1,3,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,5,3,1,0,2,0,1,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,1,2,2,2,0,1,2,1,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,0,1,1,0,2,0,1,1,0,0,1,2,0,2,1,0,2,1,2,1,1,2,1,2,1,2,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0
1,0,2,1,1,3,1,0,0,0,2,2,2,1,0,0,0,1,0,1,1,1,2,0,0,0,2,0,1,0,0,3,0,2,0,1,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,1,0,2,1,0,0,0,3,1,2,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,2,0,0,1,4,1,3,1,2,1,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,1,2,0,0,0,1,3,1,1,2,1,1,4,0,1,0,1,3,0,2,2,0,0,0,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,0,2,1,2,0,0,4,0,0,1,0,3,2,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0
0,0,1,1,1,0,0,1,1,2,2,2,1,1,1,0,3,1,2,0,0,1,0,2,1,1,0,1,0,1,1,1,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,0,0,1,0,3,2,0,0,3,1,3,0,0,0,2,1,1,1,1,1,1,0,1,2,0,0,2,0,0,2,1,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,1,1,1,1,1,1,0,2,0,2,0,0,0,1,4,2,0,1,0,1,2,2,1,2,1,2,0,2,1,0,1,3,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,1,0,0,1,3,1,1,0,0,2,3,2,0,1,2,0,2,2,1,0,1,2,2,0,0,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,1,1,0,1,1,3,3,1,0,2,4,1,1,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,1,2,0,0,1,0,0,0,0,0,0
1,0,3,1,0,1,1,1,0,0,2,0,1,2,0,0,0,1,0,0,1,5,1,1,2,1,2,1,2,1,1,0,3,1,0,1,0,1,1,1,0,0,0,0,1,1,4,0,0,0,0,0,0
0,1,1,0,0,1,0,0,0,0,3,0,2,0,0,1,3,2,0,0,1,4,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,3,0,0,0,1,1,1,1,2,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,2,1,0,0,0,0,2,0,0,1,3,0,1,1,1,4,0,0,2,0,1,0,2,2,1,0,2,4,2,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,0,2,1,1,1,2,2,2,1,1,1,1,1,1,1,0,2,1,0,0,0,4,0,2,0,0,0,2,0,1,0,0,3,1,1,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,0,0,1,0,3,1,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,0,3,1,1,1,0,1,1,1,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,1,3,2,2,1,2,0,1,0,1,1,2,2,0,1,0,0,3,3,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0
1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,1,0,4,2,2,0,1,3,2,7,0,1,0,2,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,1,2,1,0,1,2,3,0,0,0,1,2,4,1,0,0,0,1,0,0,0,3,1,2,1,0,0,0,0,0,0
0,1,0,1,1,2,3,1,1,0,0,0,1,0,2,0,0,0,3,4,1,0,0,0,3,2,3,0,1,0,1,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0
0,1,1,2,1,1,2,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,1,4,1,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,2,1,2,0,2,1,1,3,2,0,1,1,0,1,1,1,0,0,0,2,3,1,0,0,1,1,1,1,1,0,3,1,0,1,0,1,1,0,2,2,1,0,0,0,0,0,0,0
0,1,1,0,0,1,0,1,1,3,0,2,1,2,1,2,0,3,2,1,3,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,0
0,2,1,0,2,0,1,0,0,0,1,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,1,2,0,1,2,1,2,3,0,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,0,2,1,1,0,2,0,4,0,2,0,2,0,0,1,0,4,1,3,0,1,1,0,2,1,1,2,0,0,0,2,1,0,0,0,0,0,0
3,1,2,1,1,3,0,1,0,1,1,0,2,1,2,0,0,0,0,2,1,1,1,0,0,1,0,0,1,2,2,0,1,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
3,0,1,2,0,1,2,0,1,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,2,2,2,0,0,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,0,0,0
0,0,1,1,1,0,0,2,4,4,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,2,1,2,1,0,0,3,2,2,2,1,1,2,0,0,0,0,0,0
1,1,0,0,3,3,0,2,0,0,5,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,1,2,0,0,3,2,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0
0,1,0,1,1,0,4,0,0,0,2,2,1,0,1,0,1,1,4,0,2,1,1,0,3,1,2,1,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,0,2,3,0,3,2,1,0,0,1,0,0,1,2,2,1,1,1,0,1,1,0,0,0,1,2,0,2,1,0,1,2,2,3,0,1,1,1,1,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,1,2,2,1,2,0,2,2,2,0,1,1,0,2,1,0,0,0,0,1,2,1,2,1,3,0,1,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,2,1,1,0,3,0,2,2,0,1,1,3,1,0,0,2,0,1,3,1,1,1,0,1,0,0,0,2,1,1,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,0,0,1,2,1,0,1,0,1,2,0,0,2,0,3,1,1,4,1,3,0,2,2,1,0,0,0,0,0,0
0,1,1,2,1,2,0,3,0,0,1,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,1,1,1,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,3,0,3,0,0,3,2,0,2,1,1,0,0,1,1,1,0,0,1,0,1,3,0,1,1,2,0,0,0,1,2,1,2,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,3,1,2,1,0,0,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,0,3,1,0,3,2,1,0,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,1,2,1,0,4,1,0,0,0,1,2,0,2,1,0,0,0,1,3,0,1,0,1,1,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,0,0,2,3,1,2,1,4,1,0,1,1,1,0,1,1,0,1,0,1,0,2,1,1,0,3,1,1,0,0,1,1,1,2,1,1,0,0,3,2,1,0,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,0,1,2,0,1,0,3,2,1,0,0,0,0,3,1,4,1,0,0,1,0,1,0,0,0,1,4,1,1,0,1,0,2,0,0,0,0,0,0
1,2,1,2,0,0,1,3,0,0,1,1,1,2,2,1,1,1,2,1,0,2,2,0,0,0,0,2,0,4,2,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
2,2,0,1,0,0,1,1,5,0,1,0,3,0,0,2,0,1,1,2,1,0,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
0,1,3,2,0,0,1,0,0,0,0,0,3,0,0,1,2,1,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,1,3,0,0,0,0,0,0,0
0,3,0,1,2,1,1,1,0,2,0,1,2,2,0,1,1,1,0,1,1,1,0,2,0,2,1,1,1,0,0,2,2,1,1,2,0,2,1,3,0,0,1,0,0,1,1,0,0,0,0,0,0
1,1,1,1,1,0,2,3,1,2,3,2,1,3,0,0,1,1,2,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,3,3,1,0,1,2,1,0,0,0,0,0,0
1,0,1,0,1,2,1,0,0,2,0,2,0,2,1,1,3,0,0,0,0,1,1,2,3,3,3,1,1,3,0,0,1,0,1,1,1,0,1,0,2,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,0,0,2,0,2,0,0,1,1,1,1,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,2,0,4,0,2,1,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,2,1,1,2,1,2,0,0,0,1,2,1,1,1,1,0,1,3,0,2,1,0,1,4,0,1,0,1,1,0,0,1,3,2,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,5,3,1,0,2,0,1,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,0,0,1,0,1,1,3,2,2,1,1,2,1,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,0,1,1,0,2,0,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
1,0,2,1,1,3,1,0,0,0,2,2,2,2,0,0,0,1,0,1,1,1,2,0,0,0,2,0,1,0,1,3,0,2,0,1,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,1,0,2,1,0,0,0,3,1,2,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,4,0,0,1,4,1,3,1,2,1,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,1,2,0,0,0,1,3,1,1,2,1,1,4,0,2,0,1,3,1,2,2,0,0,0,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,1,2,1,2,1,0,4,0,0,1,0,3,2,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0
1,0,1,1,1,0,0,1,1,2,2,2,2,1,1,0,3,1,2,0,0,1,0,2,1,1,0,1,0,1,1,1,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,1,1,0,1,1,3,2,0,0,3,1,3,0,0,0,2,1,1,1,1,1,1,0,1,2,0,0,2,0,0,2,1,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,1,0,2,1,1,1,1,1,1,0,2,0,2,0,0,0,1,5,2,0,1,0,1,2,2,1,2,1,2,0,2,1,0,1,3,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,1,0,0,1,3,1,1,0,0,2,3,2,0,1,2,0,2,2,1,0,1,3,2,1,0,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,2,1,0,1,1,3,3,1,0,2,4,1,1,2,2,1,2,1,0,0,1,0,0,1,0,2,2,0,0,0,2,2,0,0,1,0,0,0,0,0,0
1,0,3,1,0,1,1,1,0,0,2,0,1,3,0,0,0,1,0,0,2,5,1,1,2,1,2,1,2,1,1,0,3,1,0,1,0,1,1,1,0,0,0,0,1,1,4,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,3,1,2,0,0,1,3,2,0,0,1,4,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,3,0,0,0,1,1,1,1,2,2,0,0,0,0,0,0
0,1,1,1,2,0,0,2,0,2,1,0,0,0,0,2,0,0,1,3,0,1,2,1,4,0,0,2,0,2,0,2,2,1,0,2,4,2,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,1,3,1,1,1,2,2,2,1,1,1,1,1,1,1,0,2,1,0,0,0,4,0,2,0,0,0,2,0,1,0,0,3,1,1,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,0,0,1,0,3,1,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,2,3,1,1,1,0,1,1,1,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,2,3,2,2,1,2,0,1,0,1,1,2,2,0,1,0,0,4,3,0,0,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0
1,0,0,1,0,2,0,2,0,0,0,1,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,2,3,2,7,0,1,0,2,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,2,2,1,0,1,2,3,0,0,0,1,2,4,1,0,0,0,1,0,0,0,3,2,2,1,0,0,0,0,0,0
0,1,0,1,1,2,3,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,0,3,2,3,0,1,0,1,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,1,0,0,0,0,0,0
0,1,1,2,1,2,2,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,1,4,2,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,3,1,2,0,2,1,1,3,2,0,1,1,0,1,1,1,0,0,0,2,3,1,0,0,1,1,1,1,1,0,3,1,0,1,0,1,1,0,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,3,0,2,1,2,1,2,0,3,2,1,3,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,0,2,0,1,0,0,0,0,0,0
1,2,1,0,2,0,1,0,0,0,1,1,0,2,3,0,1,0,0,0,2,0,0,3,0,1,0,1,2,1,1,2,1,2,3,0,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,0,2,1,1,1,2,0,4,0,2,0,2,0,1,1,0,4,1,3,0,1,1,0,2,1,1,2,0,0,0,2,1,0,0,0,0,0,0
3,1,2,1,1,3,0,1,0,2,1,0,2,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,1,3,2,0,1,1,1,0,1,1,1,0,0,0,0,0,0
3,0,1,2,0,1,3,0,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,2,2,2,0,0,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,0,0,0
1,0,1,1,1,0,0,2,4,4,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,1,3,1,2,1,0,0,3,2,2,2,1,1,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,0,5,1,0,0,2,2,0,1,1,0,2,1,1,0,2,0,0,2,1,2,0,0,3,2,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0
0,1,1,1,1,0,4,0,0,0,2,2,1,0,1,0,1,1,4,0,2,1,1,0,3,1,3,1,1,2,2,2,0,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,0,2,3,0,3,2,2,0,0,1,0,0,1,2,2,1,1,1,0,1,1,0,0,0,1,2,0,2,1,0,1,2,2,3,0,1,2,1,1,2,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,1,3,2,1,2,0,2,2,2,0,1,1,0,2,1,0,0,0,0,1,3,1,2,1,3,0,1,0,1,1,2,0,1,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,2,1,1,1,3,0,2,3,0,1,1,3,1,0,0,2,0,1,3,1,1,1,0,1,0,0,0,2,1,1,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,0,0,1,2,2,0,1,0,1,2,0,0,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
0,1,1,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,1,2,1,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,3,0,3,0,0,4,2,0,2,1,1,0,0,1,1,1,0,0,1,0,1,3,0,1,1,2,0,0,0,1,3,1,2,3,0,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,3,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,0,3,1,0,3,2,1,1,1,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,2,2,1,0,4,1,0,1,0,1,2,0,2,1,0,0,0,1,3,0,1,0,1,1,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,0,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,0,1,0,2,1,1,0,3,1,1,0,0,1,1,1,2,1,1,0,0,3,2,1,1,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,0,1,2,0,1,0,3,2,1,0,0,0,0,3,1,5,1,0,0,1,0,1,0,0,0,1,4,1,1,0,1,0,3,0,0,0,0,0,0
1,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,2,1,0,2,2,0,0,0,0,2,0,4,3,1,1,0,0,1,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,5,1,1,0,3,0,0,2,0,1,1,2,1,0,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
0,1,3,2,0,0,1,0,0,0,0,0,3,0,1,1,2,1,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,2,3,0,0,0,0,0,0,0
0,4,0,1,2,1,1,1,0,2,0,1,2,2,0,1,1,1,0,1,1,1,0,2,0,2,1,1,1,0,0,2,2,1,1,2,0,2,1,3,0,0,1,0,0,2,1,0,0,0,0,0,0
1,1,1,1,1,0,2,3,1,2,3,2,1,3,0,0,1,1,2,0,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,4,3,1,0,1,3,1,0,0,0,0,0,0
1,0,1,0,1,2,1,0,0,2,0,2,0,2,1,1,3,0,0,0,0,1,1,2,3,3,3,1,1,4,0,0,2,0,1,1,1,0,1,0,2,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,0,0,2,1,2,0,0,1,1,1,1,2,0,1,0,1,2,1,2,3,0,1,2,1,1,1,2,1,4,0,2,1,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,2,1,1,2,1,2,0,0,0,2,2,1,1,1,1,0,1,3,1,2,1,0,1,4,0,1,0,1,1,0,0,1,3,2,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,5,3,1,0,2,0,1,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,1,0,1,0,1,1,3,2,2,1,1,2,2,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,1,1,2,0,2,0,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,2,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
1,0,2,2,1,3,1,0,0,0,2,2,2,2,0,0,0,1,0,1,1,1,3,0,0,0,2,0,1,0,1,3,0,2,0,1,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,1,0,2,1,0,0,0,3,1,3,2,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,2,0,4,0,0,1,4,1,3,2,2,1,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,1,2,0,0,0,1,3,1,1,2,1,1,4,0,2,0,1,3,1,2,2,0,0,1,3,0,0,1,0,0,0,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,3,0,1,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,1,2,2,2,1,0,4,0,0,1,1,3,2,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0
1,0,2,1,1,0,0,1,1,2,2,2,2,1,1,0,3,1,2,0,1,1,0,2,1,1,0,1,0,1,1,1,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,2,1,0,1,1,3,2,0,0,3,1,3,1,0,0,2,1,1,1,1,1,1,0,1,2,0,0,2,0,0,2,1,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,1,5,2,0,1,0,1,2,2,1,2,1,2,0,2,1,0,1,3,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,1,0,0,2,3,1,1,0,0,2,3,2,0,1,2,0,2,2,1,0,1,3,2,1,1,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,2,1,0,1,1,3,3,1,0,2,4,1,1,2,2,2,2,1,0,0,1,0,0,1,0,2,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0
1,0,3,1,0,1,1,1,0,0,2,0,1,3,0,0,0,1,0,0,2,5,1,1,2,1,2,1,2,2,1,0,3,2,0,1,0,1,1,1,0,0,0,0,1,1,4,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,3,2,2,0,0,1,3,2,0,0,1,4,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,3,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,2,1,1,2,0,0,2,0,2,1,0,0,0,0,2,0,0,1,3,0,1,2,1,4,0,0,2,0,2,0,2,2,2,0,2,4,2,2,0,0,0,2,1,0,1,1,0,0,0,0,0,0
1,1,1,4,1,1,1,2,2,2,1,1,1,1,1,1,1,0,2,1,0,0,0,4,0,2,0,0,0,3,0,1,0,0,3,1,1,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,0,0,1,0,3,2,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,2,3,2,1,1,0,1,1,1,3,0,1,1,1,0,0,0,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,2,3,2,2,1,2,0,1,0,1,1,2,2,0,1,0,0,4,3,0,0,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,1,0,3,0,2,0,1,0,1,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,2,3,2,7,0,1,0,2,1,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
2,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,2,2,1,0,1,2,3,0,0,0,1,2,4,1,0,0,1,1,0,0,0,3,2,2,1,0,0,0,0,0,0
0,1,0,1,1,2,3,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,0,3,3,3,0,1,1,1,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,1,0,0,0,0,0,0
0,1,1,2,1,2,2,1,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,1,5,3,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,3,1,2,1,2,1,1,3,2,0,1,1,0,1,1,1,0,1,0,2,3,1,0,0,1,1,1,1,1,0,3,1,0,1,0,1,1,0,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,1,0,1,1,3,0,2,1,2,2,2,0,3,2,1,4,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,0,2,0,1,0,0,0,0,0,0
1,2,1,0,2,0,1,0,0,0,1,1,0,2,3,0,1,0,0,0,2,0,0,4,0,1,0,1,2,1,1,2,2,2,3,0,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,0,2,1,1,1,2,0,4,0,2,0,2,0,1,1,1,4,1,3,0,1,1,0,2,1,1,2,0,1,0,2,1,0,0,0,0,0,0
3,1,2,2,1,3,0,1,0,2,1,0,2,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,1,3,2,0,1,1,1,0,1,1,2,0,0,0,0,0,0
3,0,1,2,0,1,3,0,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,3,2,3,0,0,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,0,0,0
1,0,1,1,1,1,0,2,4,4,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,2,3,1,2,1,0,0,3,2,2,2,1,1,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,0,2,2,1,1,1,0,2,1,1,0,2,0,0,2,1,2,0,0,3,2,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0
0,1,1,1,1,0,4,0,0,0,2,2,2,0,1,0,1,1,4,0,2,1,1,0,3,1,3,1,1,2,2,2,1,0,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,0,2,3,0,3,2,2,0,0,1,0,0,1,2,2,1,1,1,0,1,1,0,0,0,1,2,0,2,1,1,1,2,2,3,0,1,2,1,1,3,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,1,3,2,1,2,0,2,2,2,0,1,2,0,2,1,0,0,0,0,1,3,1,2,1,3,0,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,2,1,2,1,3,0,2,4,0,1,1,3,1,0,0,2,0,1,3,1,1,1,0,1,0,0,0,2,1,1,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,1,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,1,0,1,2,2,0,1,0,1,2,1,0,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
0,1,2,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,0,1,0,1,1,0,1,2,2,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
0,0,1,0,3,0,3,0,0,4,2,0,2,1,1,0,0,1,1,1,0,0,1,0,1,3,0,1,1,3,0,0,0,1,3,1,2,3,1,0,0,1,2,1,3,1,1,0,0,0,0,0,0
3,1,0,0,1,4,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,0,3,1,0,3,2,1,1,1,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,2,2,1,0,4,1,0,1,0,1,3,0,2,1,0,1,0,1,3,0,1,0,1,1,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,0,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,0,1,0,2,2,2,0,3,1,1,0,0,1,1,1,2,1,1,0,0,3,2,1,1,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,0,1,0,3,2,1,0,0,0,0,3,1,5,1,0,0,1,0,1,0,0,0,1,4,1,1,0,1,0,3,0,0,0,0,0,0
1,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,2,1,0,2,2,0,0,0,0,2,0,4,3,2,1,0,0,2,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,1,1,2,1,1,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
0,1,3,2,0,0,1,0,0,0,0,0,4,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,2,0,0,1,0,0,2,2,3,0,0,0,0,0,0,0
0,4,0,1,2,1,1,1,0,2,0,1,2,2,0,1,1,1,0,1,1,1,1,2,0,2,1,1,1,0,0,2,2,1,1,3,0,2,1,3,0,0,1,0,0,2,1,0,0,0,0,0,0
1,1,1,1,1,0,2,3,1,2,3,2,1,4,0,0,1,1,2,1,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,0,4,3,1,0,1,3,1,0,0,0,0,0,0
1,0,1,0,1,2,1,0,0,2,0,2,0,2,1,1,3,0,0,0,0,2,1,2,3,4,3,1,1,4,0,0,2,0,1,1,1,0,1,0,2,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,0,0,2,1,2,0,0,1,1,1,1,2,0,1,0,1,2,2,2,3,0,1,2,1,1,1,2,1,4,0,2,2,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,2,0,2,1,1,2,1,3,0,0,0,2,2,1,1,2,1,0,1,3,1,2,1,0,1,4,0,1,0,1,1,0,0,1,3,2,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,5,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,1,0,1,0,1,1,3,2,2,2,1,2,2,0,0,0,0,0,0,0
1,1,0,0,1,5,1,1,1,1,1,1,2,0,2,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
1,0,3,2,1,3,1,0,0,0,2,2,2,2,0,0,0,1,0,1,1,1,3,0,0,0,2,0,1,0,1,3,0,2,0,2,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,1,0,2,1,0,0,0,3,1,3,2,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,4,0,0,1,4,1,3,2,2,1,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,1,2,1,0,0,1,3,1,1,2,1,1,4,0,2,0,1,3,1,2,2,0,0,1,3,0,0,1,0,0,1,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,3,0,2,0,1,2,0,0,1,0,1,0,1,0,1,1,1,1,4,2,1,2,2,2,1,0,4,0,0,2,1,3,2,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0
1,0,2,1,1,0,0,1,1,2,2,2,2,1,1,0,3,2,2,0,1,1,0,2,1,1,0,1,0,1,2,1,0,1,2,0,0,1,0,3,3,2,0,1,1,0,3,0,0,0,0,0,0
0,2,0,0,0,3,2,1,0,1,1,3,2,0,0,3,1,3,1,1,0,2,1,1,1,1,1,1,0,2,2,0,0,2,0,0,2,1,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,2,5,2,0,1,0,1,2,2,2,2,1,2,0,2,1,0,1,3,2,1,0,0,1,0,1,0,1,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,2,0,0,2,3,1,1,0,0,2,3,2,0,1,2,0,2,2,1,1,1,3,2,1,1,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,2,1,0,1,1,3,3,1,0,2,4,1,2,2,2,2,2,1,0,0,1,0,1,1,0,2,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0
1,0,3,1,0,1,1,1,0,0,2,0,1,3,1,0,0,1,1,0,2,5,1,1,2,1,2,1,2,2,1,0,3,2,0,1,0,1,1,1,0,0,0,0,1,1,4,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,3,2,2,0,0,1,3,2,0,0,1,5,1,0,0,1,1,2,0,2,1,2,2,1,3,0,0,4,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,2,1,1,2,0,0,2,0,2,1,0,0,1,0,2,0,0,1,3,0,1,2,1,4,0,0,2,0,2,0,2,2,2,0,2,4,2,2,0,0,0,3,1,0,1,1,0,0,0,0,0,0
1,1,1,4,1,1,1,2,2,2,1,1,1,1,1,1,1,0,3,1,0,0,0,4,0,2,0,0,0,3,1,1,0,0,3,1,1,1,0,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,1,0,1,0,3,2,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,2,3,2,1,1,0,1,1,1,3,0,1,1,1,0,0,1,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,2,3,2,2,1,2,0,1,0,1,1,2,2,0,1,1,0,4,3,0,1,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,2,0,3,0,2,0,1,0,1,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,2,3,2,7,0,1,0,2,1,0,2,1,1,2,0,0,1,1,1,1,0,0,0,0,0,0
2,1,1,0,1,0,1,1,1,1,3,0,0,0,4,0,1,2,0,2,0,0,2,2,1,0,2,2,3,0,0,0,1,2,4,1,0,0,1,1,0,0,0,3,2,2,2,0,0,0,0,0,0
0,1,0,1,1,2,4,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,0,3,3,3,0,1,1,2,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,1,0,0,0,0,0,0
0,2,1,2,1,2,2,2,0,0,1,2,0,0,1,1,0,0,1,2,1,1,0,1,1,2,0,0,1,5,3,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,3,1,2,1,2,1,1,3,2,0,1,1,0,1,1,1,0,1,0,2,3,1,0,0,1,1,1,1,1,0,3,1,0,1,0,1,2,1,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,2,0,1,1,3,0,2,1,2,2,2,0,4,2,1,4,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,0,2,0,1,0,0,0,0,0,0
1,2,2,0,2,0,1,0,0,0,1,1,0,2,3,0,1,0,0,0,2,0,0,4,0,1,0,1,2,1,1,2,2,2,3,1,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,1,1,2,0,1,0,0,0,3,3,1,2,1,1,1,2,0,4,0,2,0,2,0,1,1,1,4,1,3,0,1,1,0,2,1,1,3,0,1,0,2,1,0,0,0,0,0,0
3,1,2,2,1,3,0,1,0,2,1,0,2,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,1,3,2,0,2,2,1,0,1,1,2,0,0,0,0,0,0
3,0,1,2,0,2,3,0,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,3,2,3,0,1,0,2,1,1,2,0,1,1,0,0,0,2,0,0,0,0,0,0
1,0,1,1,1,1,0,3,4,4,0,0,0,1,1,0,0,0,0,0,1,1,2,0,1,2,1,1,0,1,0,1,0,2,3,1,2,1,0,0,4,2,2,2,1,1,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,0,2,2,1,1,1,0,2,1,1,0,2,0,0,2,1,2,0,0,3,2,2,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
0,1,1,1,1,0,4,0,0,0,2,2,2,0,1,0,1,1,4,0,2,1,1,0,3,1,3,1,2,2,2,2,1,1,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,0,2,3,0,3,2,2,0,0,1,0,0,1,2,2,2,1,1,0,1,1,1,0,0,1,2,0,2,1,1,1,2,2,3,0,1,2,1,1,3,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,2,3,2,1,2,0,2,2,2,0,1,2,0,2,1,0,0,0,0,1,3,1,2,1,3,1,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,0,1,1,1,1,2,1,2,1,3,0,2,4,0,1,1,3,2,0,0,2,0,1,3,1,1,1,0,1,0,0,0,3,1,1,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,2,0,2,0,1,1,0,0,3,1,2,0,0,2,0,0,1,0,1,2,2,0,1,0,1,3,1,0,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
0,1,2,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,1,1,0,1,2,0,1,2,2,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
1,0,1,0,3,0,3,0,0,4,2,0,2,1,1,0,1,1,1,1,0,0,1,0,1,3,0,1,1,3,0,0,0,1,3,1,2,3,1,0,0,1,2,1,3,1,1,0,0,0,0,0,0
4,1,0,0,1,5,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,0,3,1,0,3,2,1,1,1,2,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,2,2,1,0,4,1,0,1,0,1,3,0,2,2,1,1,0,1,3,0,1,0,1,1,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,1,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,0,1,0,2,2,2,0,3,1,1,0,0,1,1,1,2,1,1,0,0,3,2,2,1,1,0,1,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,0,1,0,3,2,1,0,0,0,1,3,1,5,1,0,0,1,0,1,0,1,0,1,4,1,1,0,1,0,3,0,0,0,0,0,0
2,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,2,1,0,2,2,0,0,0,0,2,0,4,3,2,1,1,0,2,1,0,1,1,1,0,0,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,1,1,2,2,1,0,1,1,3,1,0,1,0,4,4,2,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0
0,1,3,2,0,0,1,0,0,0,0,0,5,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,3,0,0,1,0,0,2,2,3,0,0,0,0,0,0,0
0,4,0,1,2,1,1,1,0,2,0,1,2,2,0,1,2,1,0,1,1,1,1,2,0,2,1,1,1,0,0,2,2,1,1,3,0,2,1,3,0,0,1,1,0,2,1,0,0,0,0,0,0
1,1,1,1,1,0,2,3,1,2,3,2,1,4,0,0,1,1,2,1,0,0,2,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,4,3,1,0,1,3,2,0,0,0,0,0,0
1,0,1,0,1,2,1,0,0,2,0,2,0,2,1,1,3,0,0,0,0,2,1,2,3,4,3,1,1,5,0,0,2,0,1,1,1,0,1,0,3,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,1,1,2,1,2,0,0,1,1,1,1,2,0,1,0,1,2,2,2,3,0,1,2,1,1,1,2,1,4,0,2,2,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,3,0,2,1,1,2,1,3,0,0,0,2,2,1,1,2,1,0,1,3,1,2,1,0,1,4,1,1,0,1,1,0,0,1,3,2,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,1,1,1,6,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,0,0,1,0,1,0,1,1,3,2,2,2,1,2,2,1,0,0,0,0,0,0
2,1,0,0,1,5,2,1,1,1,1,1,2,0,2,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
2,0,3,2,1,3,1,0,0,0,2,2,2,2,0,0,0,1,0,2,1,1,3,0,0,0,2,0,1,0,1,3,0,2,0,2,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,2,0,2,1,0,0,0,3,1,3,2,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,4,0,0,1,4,1,3,2,2,2,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,2,2,1,0,0,1,3,1,1,2,1,1,4,0,2,0,1,3,1,3,2,0,0,1,3,0,0,1,0,0,1,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,4,0,2,0,1,2,1,0,1,0,1,0,1,0,1,1,1,1,4,2,1,2,2,2,1,0,4,0,0,2,1,3,2,0,1,0,1,0,1,0,1,0,1,2,1,0,0,0,0,0,0
1,0,2,1,1,0,0,1,1,2,2,2,2,1,1,0,3,2,2,0,1,1,0,2,1,1,0,1,0,1,2,1,1,1,2,0,0,1,0,3,3,2,0,1,1,1,3,0,0,0,0,0,0
0,2,1,0,0,3,2,1,0,1,1,3,2,0,0,3,1,3,1,1,0,2,1,1,1,1,1,1,0,2,2,0,0,3,0,0,2,1,1,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,2,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,2,5,2,0,1,0,1,2,2,2,2,1,2,0,2,1,0,1,3,3,1,0,0,1,0,1,0,2,0,0,0,0,0,0
2,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,2,0,0,2,3,1,1,0,0,2,3,2,0,1,2,0,2,2,1,1,2,3,2,2,1,2,1,1,0,0,0,0,0,0
1,0,0,2,1,0,3,0,1,0,0,1,2,1,0,1,2,3,3,1,0,2,5,1,2,2,2,2,2,1,0,0,1,0,1,1,0,2,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0
1,0,3,1,0,1,1,1,0,0,2,0,1,3,1,0,0,1,1,0,2,5,1,1,2,1,2,2,2,2,1,0,3,2,0,1,0,1,1,1,0,0,0,0,2,1,4,0,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0,3,2,2,0,0,1,3,2,0,0,1,5,1,0,0,1,1,2,0,2,1,2,2,1,4,0,1,4,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,2,1,1,2,0,0,2,0,2,1,0,0,1,0,2,0,0,2,3,0,1,2,1,4,0,0,2,0,2,0,2,2,3,0,2,4,2,2,0,0,0,3,1,0,1,1,0,0,0,0,0,0
1,1,1,4,1,1,1,2,2,2,1,1,1,1,2,1,1,0,3,1,0,0,0,4,0,2,0,0,0,3,1,1,0,0,3,1,1,1,1,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,3,0,3,1,0,1,0,3,2,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,0,2,3,2,2,1,0,1,1,1,3,0,1,2,1,0,0,1,0,0,0,0,0,0,0
1,0,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,2,3,2,2,2,2,0,1,0,1,1,3,2,0,1,1,0,4,3,0,1,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,2,0,3,0,2,0,1,0,2,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,2,3,2,7,0,1,0,2,1,0,2,1,2,2,0,0,1,1,1,1,0,0,0,0,0,0
2,1,2,0,1,0,1,1,1,1,3,0,0,0,4,0,2,2,0,2,0,0,2,2,1,0,2,2,3,0,0,0,1,2,4,1,0,0,1,1,0,0,0,3,2,2,2,0,0,0,0,0,0
0,1,0,1,1,2,4,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,1,3,3,3,0,1,1,3,2,1,0,1,2,3,1,0,3,0,2,0,0,0,0,1,0,0,0,0,0,0
0,2,1,2,1,2,2,2,0,0,1,2,0,1,1,1,1,0,1,2,1,1,0,1,1,2,0,0,1,5,3,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,4,1,2,1,2,1,1,3,2,0,2,1,0,1,1,1,0,1,0,2,3,1,0,0,1,1,1,1,1,0,3,1,0,1,0,1,2,1,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,2,0,1,1,3,0,2,1,2,3,2,0,4,2,1,4,0,1,1,0,1,1,0,2,3,1,1,0,1,0,2,0,0,0,2,2,1,0,1,2,0,1,0,0,0,0,0,0
1,2,2,0,2,0,1,0,0,0,1,1,0,2,3,1,1,0,0,0,2,0,0,4,0,1,0,1,2,1,1,2,2,3,3,1,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,2,1,2,0,1,0,0,0,3,3,1,2,1,1,1,2,0,4,0,2,1,2,0,1,1,1,4,1,3,0,1,1,0,2,1,1,3,0,1,0,2,1,0,0,0,0,0,0
3,1,2,2,1,3,0,1,0,2,1,0,2,1,2,0,0,0,0,2,1,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,2,3,2,0,2,2,1,0,2,1,2,0,0,0,0,0,0
3,0,1,2,0,2,3,0,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,3,2,3,0,1,0,3,1,1,2,0,1,2,0,0,0,2,0,0,0,0,0,0
1,0,1,1,1,1,0,3,5,4,0,0,0,1,1,0,0,0,0,1,1,1,2,0,1,2,1,1,0,1,0,1,0,2,3,1,2,1,0,0,4,2,2,2,1,1,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,1,2,2,1,1,1,0,2,1,2,0,2,0,0,2,1,2,0,0,3,2,2,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,0,4,0,0,0,2,2,2,0,1,0,1,2,4,0,2,1,1,0,3,1,3,1,2,2,2,2,1,1,0,1,0,0,1,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,1,2,3,0,3,2,2,0,0,1,0,0,1,2,2,2,1,1,0,1,1,1,0,0,1,2,0,2,1,1,1,3,2,3,0,1,2,1,1,3,0,1,0,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,3,3,2,1,3,0,2,2,2,0,1,2,0,2,1,0,0,0,0,1,3,1,2,1,3,1,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,1,1,1,1,1,2,1,2,1,3,0,2,4,0,1,1,3,2,0,1,2,0,1,3,1,1,1,0,1,0,0,0,3,1,1,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,2,0,2,0,1,1,0,0,3,2,2,0,0,2,0,0,1,0,1,3,2,0,1,0,1,3,1,0,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
0,2,2,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,1,1,0,1,3,0,1,2,2,1,1,2,2,1,1,2,1,1,0,0,0,0,0,0
1,0,1,0,3,0,3,0,0,4,2,0,2,1,1,0,1,1,1,1,0,0,1,0,1,3,0,1,1,3,0,1,0,1,3,1,2,3,1,0,0,1,2,2,3,1,1,0,0,0,0,0,0
4,1,0,0,1,5,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,1,3,1,0,3,2,1,1,1,2,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0
1,0,0,0,1,1,1,2,1,0,3,0,2,0,2,2,2,1,0,4,1,0,1,0,1,3,0,2,2,1,1,0,1,4,0,1,0,2,1,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,1,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,1,1,0,2,2,2,0,3,1,1,0,0,1,1,1,2,1,1,0,0,3,2,2,1,1,0,2,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,1,1,0,3,2,2,0,0,0,1,3,1,5,1,0,0,1,0,1,0,1,0,1,4,1,1,0,1,0,3,0,0,0,0,0,0
2,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,3,1,0,2,2,0,0,0,0,2,0,4,3,2,1,1,0,2,1,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,1,1,2,2,1,0,1,1,3,1,0,1,0,4,4,3,2,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0
0,1,3,2,0,0,1,1,0,0,0,0,5,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,4,0,0,1,0,0,2,2,3,0,0,0,0,0,0,0
0,4,0,1,2,1,1,1,0,2,0,1,2,2,0,1,2,1,0,1,1,1,2,2,0,2,1,1,1,0,0,2,2,1,1,3,0,2,1,3,0,0,1,1,0,3,1,0,0,0,0,0,0
1,1,1,1,1,0,2,3,2,2,3,2,1,4,0,0,1,1,2,1,0,0,2,1,2,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,4,3,1,0,1,3,2,0,0,0,0,0,0
2,0,1,0,1,2,1,0,0,2,0,2,0,2,1,1,4,0,0,0,0,2,1,2,3,4,3,1,1,5,0,0,2,0,1,1,1,0,1,0,3,0,0,2,0,2,0,0,0,0,0,0,0
1,0,0,0,1,1,2,1,2,0,0,1,1,1,1,2,0,1,0,1,2,2,2,3,0,1,3,1,1,1,2,2,4,0,2,2,1,0,1,1,2,0,0,1,1,1,2,0,0,0,0,0,0
2,3,0,2,1,1,2,1,3,0,0,0,2,2,1,1,2,1,0,1,3,1,2,1,1,1,4,1,1,0,1,1,0,0,1,3,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,1,1,6,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,1,0,1,0,1,0,1,1,3,2,2,2,1,2,2,1,0,0,0,0,0,0
2,1,0,0,1,5,2,1,1,1,2,1,3,0,2,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
2,0,3,2,1,3,1,1,0,0,2,2,2,2,0,0,0,1,0,2,1,1,3,0,0,0,2,0,1,0,1,4,0,2,0,2,3,1,2,0,2,3,1,1,0,0,0,0,0,0,0,0,0
2,0,2,0,3,1,0,0,0,3,1,3,2,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,4,0,0,1,4,1,3,3,2,2,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,2,2,3,0,0,1,3,1,1,2,1,1,4,0,2,0,1,3,1,3,2,0,0,1,3,0,0,1,0,0,1,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,4,0,2,0,1,2,1,0,1,0,1,0,2,0,1,1,1,1,4,2,1,2,2,2,1,0,4,0,0,2,1,3,2,0,1,0,1,0,1,0,1,0,1,3,1,0,0,0,0,0,0
1,0,2,1,1,0,0,1,1,3,2,2,2,1,1,0,3,2,2,0,1,1,0,2,2,1,0,1,0,1,2,1,1,1,2,0,0,1,0,3,3,2,0,1,1,1,3,0,0,0,0,0,0
0,2,1,0,0,3,2,1,0,1,1,3,2,0,0,3,1,3,1,1,0,2,1,1,1,1,1,2,0,2,2,0,0,3,0,0,2,1,2,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,3,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,2,5,2,0,1,1,1,2,2,2,2,1,2,0,2,1,0,1,3,3,1,0,0,1,0,1,0,2,0,0,0,0,0,0
3,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,2,0,0,2,3,1,1,0,0,2,4,2,0,1,2,0,2,2,1,1,2,3,2,2,1,2,1,1,0,0,0,0,0,0
1,0,0,2,1,1,3,0,1,0,0,1,2,1,0,1,2,3,3,1,0,2,5,1,2,3,2,2,2,1,0,0,1,0,1,1,0,2,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0
1,1,3,1,0,1,1,1,0,0,2,0,1,3,1,0,0,1,1,0,2,5,1,1,2,1,2,2,2,2,1,0,3,2,0,1,0,1,1,2,0,0,0,0,2,1,4,0,0,0,0,0,0
1,1,1,0,0,1,0,1,0,0,3,2,3,0,0,1,3,2,0,0,1,5,1,0,0,1,1,2,0,2,1,2,2,1,4,0,1,4,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,3,1,1,2,0,0,2,0,2,1,0,0,1,0,2,0,0,2,3,0,1,2,1,4,0,0,2,0,2,0,3,2,3,0,2,4,2,2,0,0,0,3,1,0,1,1,0,0,0,0,0,0
1,2,1,4,1,1,1,2,2,2,1,2,1,1,2,1,1,0,3,1,0,0,0,4,0,2,0,0,0,3,1,1,0,0,3,1,1,1,1,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,4,0,3,1,0,1,0,3,2,1,1,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,1,2,3,2,2,1,0,1,1,1,3,0,1,2,1,0,0,1,0,0,0,0,0,0,0
1,1,2,1,0,2,0,1,2,0,1,1,1,0,1,1,2,2,3,2,2,2,2,0,1,0,1,1,3,2,1,1,1,0,4,3,0,1,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,2,0,3,0,2,0,1,0,2,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,3,3,3,7,0,1,0,2,1,0,2,1,2,2,0,0,1,1,1,1,0,0,0,0,0,0
2,1,2,0,1,0,1,1,1,1,3,0,0,1,4,0,2,2,0,2,0,0,2,2,1,0,2,2,3,0,0,0,1,2,4,1,0,1,1,1,0,0,0,3,2,2,2,0,0,0,0,0,0
0,1,0,1,1,2,4,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,1,3,3,4,0,1,1,3,2,1,0,1,2,3,1,0,4,0,2,0,0,0,0,1,0,0,0,0,0,0
0,2,1,2,1,2,2,2,0,0,1,2,0,1,1,1,1,0,1,2,1,1,0,1,2,3,0,0,1,5,3,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,4,1,2,1,2,1,1,3,2,0,2,1,0,1,2,1,0,1,0,2,3,1,0,0,1,1,1,1,1,0,3,2,0,1,0,1,2,1,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,2,0,1,1,3,0,2,1,2,3,2,0,4,2,1,4,0,1,1,0,1,1,0,2,4,1,1,0,1,0,3,0,0,0,2,2,1,0,1,2,0,1,0,0,0,0,0,0
1,2,2,0,2,0,1,0,0,0,1,1,0,2,3,1,2,0,0,0,2,0,0,4,0,1,0,1,2,2,1,2,2,3,3,1,2,2,2,1,0,2,0,2,0,1,2,0,0,0,0,0,0
0,0,0,1,0,2,1,2,0,1,0,0,1,3,3,1,2,1,1,1,2,0,4,0,2,1,2,0,1,1,1,5,1,3,0,1,1,0,2,1,1,3,0,1,0,2,1,0,0,0,0,0,0
3,1,2,2,1,3,0,1,0,2,1,0,2,1,2,0,0,0,0,2,2,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,2,3,2,0,2,2,1,0,3,1,2,0,0,0,0,0,0
3,0,1,3,0,2,3,0,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,3,2,3,0,1,0,3,1,1,2,0,1,2,1,0,0,2,0,0,0,0,0,0
1,0,1,1,1,1,0,3,5,4,0,0,1,1,1,0,0,0,0,1,1,1,2,0,1,2,1,1,0,1,0,2,0,2,3,1,2,1,0,0,4,2,2,2,1,1,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,1,2,2,1,1,2,0,2,1,2,0,2,0,0,2,1,2,0,1,3,2,2,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,2,1,1,0,4,0,0,0,2,2,2,0,1,0,1,2,4,0,2,1,1,0,3,1,3,1,2,2,2,2,1,1,0,1,0,0,2,1,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,1,2,3,0,3,2,2,0,0,1,0,0,1,2,3,2,1,1,0,1,1,1,0,0,1,2,0,2,1,1,1,3,2,3,0,1,2,1,1,3,0,1,1,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,3,3,2,1,3,0,2,2,2,0,1,2,0,2,1,0,0,0,0,1,3,2,2,1,4,1,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,1,1,1,1,1,2,1,2,1,3,0,2,4,0,1,1,3,2,0,1,2,0,1,3,1,1,1,0,1,1,0,0,3,1,2,0,2,1,3,0,2,0,0,0,0,0,0
0,1,2,1,0,1,0,2,0,2,0,1,1,0,0,3,2,2,0,0,2,0,0,2,0,1,3,2,0,1,0,1,3,1,1,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
1,2,2,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,1,1,0,1,3,0,1,2,2,1,1,3,2,1,1,2,1,1,0,0,0,0,0,0
1,0,1,0,3,0,3,0,0,4,2,0,2,2,1,0,1,1,1,1,0,0,1,0,1,3,0,1,2,3,0,1,0,1,3,1,2,3,1,0,0,1,2,2,3,1,1,0,0,0,0,0,0
4,1,0,0,1,5,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,0,2,1,2,0,1,3,1,0,3,2,1,1,1,2,0,0,0,1,0,2,2,0,2,0,0,0,0,0,0
2,0,0,0,1,1,1,2,1,0,3,0,2,0,2,2,2,1,0,4,1,0,1,0,1,3,0,2,2,1,1,0,1,4,0,1,0,2,2,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,1,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,1,1,0,2,2,2,0,3,1,2,0,0,1,1,1,2,1,1,0,0,3,3,2,1,1,0,2,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,1,1,0,3,2,3,0,0,0,1,3,1,5,1,0,0,1,0,2,0,1,0,1,4,1,1,0,1,0,3,0,0,0,0,0,0
2,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,3,1,0,3,3,0,0,0,0,2,0,4,3,2,1,1,0,2,1,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,2,1,2,2,1,0,1,1,3,1,0,1,0,4,5,3,2,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0
0,2,3,2,0,0,1,1,0,0,0,0,5,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,4,0,0,1,0,0,2,3,3,0,0,0,0,0,0,0
0,4,0,1,3,1,1,1,0,2,0,1,2,2,0,1,2,1,0,1,1,1,2,2,0,2,1,1,1,0,0,2,3,1,1,3,0,2,1,3,0,0,1,1,0,3,1,0,0,0,0,0,0
1,1,1,1,1,1,2,3,2,2,3,2,1,4,0,0,1,1,2,1,0,0,2,1,2,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,4,3,1,0,1,3,2,0,0,0,0,0,0
2,0,1,0,1,2,1,0,0,2,0,2,0,3,1,1,4,0,0,0,0,2,1,2,3,4,3,1,1,5,0,0,2,0,1,1,1,0,1,0,3,0,1,2,0,2,0,0,0,0,0,0,0
1,1,0,0,1,1,2,1,2,0,0,1,1,1,1,2,0,1,0,1,2,2,2,3,0,1,3,1,1,1,2,2,4,0,2,2,1,0,1,1,2,0,1,1,1,1,2,0,0,0,0,0,0
2,3,0,2,1,1,2,1,3,0,0,0,2,2,1,1,2,1,0,1,3,1,2,1,1,1,4,1,1,0,2,1,0,0,2,3,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,2,2,6,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,1,0,1,0,1,0,1,1,3,2,2,2,1,2,2,1,0,0,0,0,0,0
3,1,0,0,1,5,2,1,1,1,2,1,4,0,2,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
2,0,3,2,1,3,1,1,0,0,2,2,2,2,0,0,0,1,0,2,1,1,4,0,0,0,2,0,1,0,1,4,0,2,0,2,3,1,2,0,2,3,2,1,0,0,0,0,0,0,0,0,0
3,0,2,0,3,1,0,0,0,3,1,3,2,0,2,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,4,0,0,1,4,1,3,3,3,2,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,2,2,3,0,0,2,3,1,1,2,2,1,4,0,2,0,1,3,1,3,2,0,0,1,3,0,0,1,0,0,1,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,4,0,2,0,1,2,1,0,1,0,1,0,2,0,1,1,1,2,4,2,1,2,2,2,1,0,4,0,0,2,1,3,2,0,1,0,1,0,1,0,2,0,1,3,1,0,0,0,0,0,0
1,0,2,2,1,0,0,1,1,3,2,2,2,1,1,0,3,2,2,0,2,1,0,2,2,1,0,1,0,1,2,1,1,1,2,0,0,1,0,3,3,2,0,1,1,1,3,0,0,0,0,0,0
0,2,1,0,0,3,2,1,0,1,1,3,2,0,0,3,1,3,1,1,0,2,1,1,2,1,1,2,0,2,3,0,0,3,0,0,2,1,2,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,0,3,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,2,5,2,0,1,1,1,2,2,2,2,1,2,0,2,2,0,1,3,3,1,0,0,1,0,1,1,2,0,0,0,0,0,0
3,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,2,0,0,2,3,1,1,0,0,2,4,2,0,1,2,0,2,2,1,1,2,3,2,2,1,3,2,1,0,0,0,0,0,0
1,0,0,3,1,1,3,0,1,0,0,1,2,1,0,1,2,3,3,1,0,2,5,1,2,3,2,2,2,1,0,1,1,0,1,1,0,2,2,0,1,0,2,2,0,0,1,0,0,0,0,0,0
1,1,3,1,0,1,1,1,0,0,2,0,1,3,1,0,0,1,1,1,2,5,1,1,2,1,2,2,2,2,1,0,3,2,0,1,0,1,1,2,0,0,0,0,3,1,4,0,0,0,0,0,0
1,1,1,0,1,1,0,1,0,0,3,2,4,0,0,1,3,2,0,0,1,5,1,0,0,1,1,2,0,2,1,2,2,1,4,0,1,4,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,3,1,1,2,0,0,2,0,2,1,0,0,1,0,2,0,0,2,3,0,1,2,1,4,1,0,2,0,2,0,3,3,3,0,2,4,2,2,0,0,0,3,1,0,1,1,0,0,0,0,0,0
1,2,1,4,1,1,1,2,2,2,3,2,1,1,2,1,1,0,3,1,0,0,0,4,0,2,0,0,0,3,1,1,0,0,3,1,1,1,1,1,0,1,1,2,2,1,0,0,0,0,0,0,0
1,4,0,3,1,0,1,0,3,2,1,2,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,1,2,3,2,2,2,0,1,1,1,3,0,1,2,1,0,0,1,0,0,0,0,0,0,0
1,1,2,1,0,2,0,1,2,0,2,1,1,1,1,1,2,2,3,2,2,2,2,0,1,0,1,1,3,2,1,1,1,0,4,3,0,1,0,0,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,2,0,3,0,2,0,1,0,2,0,0,0,0,0,0,1,2,1,2,0,4,2,2,0,3,4,3,7,0,1,0,2,1,0,2,1,2,2,1,0,1,1,1,1,0,0,0,0,0,0
2,2,2,0,1,0,1,1,1,1,3,0,0,1,4,0,2,2,0,2,0,0,2,2,1,0,2,2,3,0,0,0,1,3,4,1,0,1,1,1,0,0,0,3,2,2,2,0,0,0,0,0,0
0,1,0,1,1,2,4,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,1,3,3,4,0,1,1,3,2,1,0,1,3,3,1,0,4,0,2,1,0,0,0,1,0,0,0,0,0,0
0,2,1,2,1,2,2,2,0,0,1,2,0,1,1,1,1,0,1,2,1,1,0,1,2,5,0,0,1,5,3,0,0,0,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,4,1,2,1,2,1,1,3,2,0,2,2,0,1,2,1,0,1,0,2,3,1,0,0,1,1,1,1,1,0,4,2,0,1,0,1,2,1,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,2,0,1,1,3,0,2,1,2,3,2,0,4,2,1,4,0,1,1,0,1,1,0,2,4,1,1,0,2,0,3,0,0,0,2,2,1,1,1,2,0,1,0,0,0,0,0,0
2,2,2,0,2,0,1,0,0,0,1,1,0,2,3,1,2,0,0,0,2,0,0,4,0,1,0,1,2,2,1,2,2,3,3,1,2,2,2,1,0,2,0,3,0,1,2,0,0,0,0,0,0
0,0,0,1,0,2,1,2,1,1,0,0,1,3,3,1,2,1,1,1,2,0,4,0,2,1,2,0,1,1,1,5,1,3,0,1,1,0,2,1,1,3,0,1,1,2,1,0,0,0,0,0,0
3,1,2,2,1,4,0,1,0,2,1,0,2,1,2,1,0,0,0,2,2,2,1,0,0,1,0,0,1,2,2,0,1,1,2,0,2,3,2,0,2,2,1,0,3,1,2,0,0,0,0,0,0
3,0,1,4,0,2,3,1,2,1,1,1,1,1,1,0,0,1,2,1,0,1,0,1,0,3,1,0,0,4,3,2,3,0,1,0,3,1,1,2,0,1,2,1,0,0,2,0,0,0,0,0,0
1,0,1,1,1,1,0,3,5,4,0,0,1,1,1,0,0,0,0,1,1,1,2,0,1,2,1,1,0,1,0,2,0,2,3,1,2,1,0,0,4,2,2,2,1,3,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,1,2,2,1,1,2,0,2,1,2,0,2,0,1,2,1,2,0,1,3,2,2,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0
1,1,2,1,1,0,4,0,0,0,2,2,2,0,1,0,1,2,4,0,2,1,1,0,3,1,3,1,2,2,2,2,2,1,0,1,0,0,2,2,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,1,2,3,0,3,2,2,0,0,1,0,0,1,2,3,3,1,1,0,1,1,1,0,0,1,2,0,2,1,1,1,3,2,3,0,1,2,1,2,3,0,1,1,0,0,0,0,0,0
2,0,1,0,0,0,2,0,1,3,3,2,1,4,0,2,2,2,0,1,2,0,2,1,0,0,0,0,1,3,2,3,1,4,1,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,1,1,1,1,1,2,1,2,1,3,0,2,4,0,1,1,4,2,0,1,2,0,1,3,1,1,1,0,1,1,0,0,3,2,2,0,2,1,3,0,2,0,0,0,0,0,0
0,1,3,1,0,1,0,3,0,2,0,1,1,0,0,3,2,2,0,0,2,0,0,2,0,1,3,2,0,1,0,1,3,1,1,2,0,3,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
1,2,2,2,1,2,0,3,0,0,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,1,1,0,1,3,1,1,2,2,1,1,3,2,2,1,2,1,1,0,0,0,0,0,0
1,0,1,0,3,0,3,0,0,4,2,1,2,2,1,0,1,1,1,1,0,0,1,0,1,3,0,1,2,3,0,1,0,1,3,1,3,3,1,0,0,1,2,2,3,1,1,0,0,0,0,0,0
4,1,0,0,1,5,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,1,2,1,2,0,1,3,1,0,4,2,1,1,1,2,0,0,0,1,0,2,2,0,2,0,0,0,0,0,0
2,0,0,0,1,1,1,2,1,0,3,0,3,0,2,2,2,1,0,4,1,0,1,0,1,3,0,3,2,1,1,0,1,4,0,1,0,2,2,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,1,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,2,1,0,3,2,2,0,3,1,2,0,0,1,1,1,2,1,1,0,0,3,3,2,1,1,0,2,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,1,1,0,3,2,3,0,0,1,1,3,1,5,1,0,0,1,0,2,0,1,0,1,4,1,1,0,1,1,3,0,0,0,0,0,0
2,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,3,1,0,3,3,0,0,0,0,2,0,4,3,2,1,1,1,2,2,0,1,1,1,0,1,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,2,1,2,2,2,0,1,1,3,1,0,1,0,4,5,3,2,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0
0,3,3,2,0,0,1,1,0,0,0,0,5,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,4,0,0,1,0,1,2,3,3,0,0,0,0,0,0,0
0,4,0,1,3,1,1,1,0,2,0,1,2,2,0,1,2,1,0,1,1,1,3,2,0,2,1,1,2,0,0,2,3,1,1,3,0,2,1,3,0,0,1,1,0,3,1,0,0,0,0,0,0
1,1,1,1,1,1,2,3,2,2,3,2,1,4,0,0,1,1,2,2,0,0,2,1,2,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,4,3,2,0,1,3,2,0,0,0,0,0,0
2,0,1,0,1,2,1,0,0,2,0,2,0,3,1,1,4,0,0,0,0,2,1,2,3,4,4,1,1,5,0,0,2,0,1,1,2,0,1,0,3,0,1,2,0,2,0,0,0,0,0,0,0
1,1,0,0,1,1,2,1,2,0,0,1,1,1,1,2,0,1,0,1,3,3,2,3,0,1,3,1,1,1,2,2,4,0,2,2,1,0,1,1,2,0,1,1,1,1,2,0,0,0,0,0,0
2,3,0,2,2,1,2,1,3,0,0,0,2,2,1,1,2,1,0,1,3,1,2,1,1,1,4,1,1,0,2,1,0,0,2,3,2,3,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,3,2,6,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,2,1,1,0,1,1,0,1,0,1,0,1,1,3,2,2,2,1,3,2,1,0,0,0,0,0,0
3,1,0,0,1,5,2,1,1,1,2,1,4,0,4,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0
2,0,3,2,1,3,1,1,0,0,2,2,2,2,2,0,0,1,0,2,1,1,4,0,0,0,2,0,1,0,1,4,0,2,0,2,3,1,2,0,2,3,2,1,0,0,0,0,0,0,0,0,0
3,0,2,0,3,1,0,0,0,3,1,3,2,0,2,1,2,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,4,0,0,1,4,1,3,3,3,2,2,2,3,0,1,0,0,0,0,0,0
2,0,1,2,3,2,3,0,0,2,3,1,1,2,2,1,4,0,2,0,1,3,1,3,2,0,0,1,3,1,0,1,0,0,1,1,1,2,3,1,0,0,1,2,0,0,1,0,0,0,0,0,0
1,2,4,0,2,0,1,2,1,0,1,0,1,0,3,0,1,1,1,3,4,2,1,2,2,2,1,0,4,0,0,2,1,3,2,0,1,0,1,0,1,0,2,0,1,3,1,0,0,0,0,0,0
1,0,2,2,1,0,0,1,1,4,2,2,2,1,1,0,3,2,2,0,2,1,0,2,2,1,0,1,0,1,2,1,1,1,2,1,0,1,0,3,3,2,0,1,1,1,3,0,0,0,0,0,0
0,2,1,0,0,3,3,1,0,1,1,3,2,0,0,4,1,3,1,1,0,2,1,1,2,1,1,2,0,2,3,0,0,3,0,0,2,1,2,0,2,4,2,2,0,0,0,0,0,0,0,0,0
2,0,1,3,0,2,1,1,1,1,2,1,0,2,0,2,0,0,0,2,5,2,0,1,1,1,2,2,2,2,1,2,0,2,2,0,1,3,4,1,0,0,1,0,1,1,2,0,0,0,0,0,0
3,0,0,2,1,0,1,2,2,1,1,0,0,1,0,1,0,0,1,3,0,0,2,3,1,1,1,0,2,4,2,0,1,2,0,2,2,1,1,2,3,2,2,1,3,2,1,0,0,0,0,0,0
1,0,0,3,1,1,3,0,1,0,0,1,2,1,0,1,2,3,3,1,0,2,5,1,2,3,2,2,2,1,0,1,1,0,1,2,0,2,2,0,1,0,3,2,0,0,1,0,0,0,0,0,0
1,1,3,1,0,1,1,1,0,0,2,0,1,3,1,0,0,2,1,1,2,5,1,1,2,1,2,2,2,2,1,0,3,2,0,1,1,1,1,2,0,0,0,0,3,1,4,0,0,0,0,0,0
1,1,1,0,1,1,0,1,0,0,3,2,4,0,0,1,3,2,0,0,1,5,1,0,0,1,1,3,0,2,1,2,2,1,4,0,2,4,0,0,0,1,2,1,1,2,2,0,0,0,0,0,0
0,3,1,1,2,0,0,2,0,2,1,0,0,1,0,2,0,0,2,4,0,1,2,1,4,1,1,2,0,2,0,3,3,3,0,2,4,2,2,0,0,0,3,1,0,1,1,0,0,0,0,0,0
1,2,1,4,1,1,1,2,2,2,3,2,1,1,2,1,1,0,3,1,0,0,0,4,0,2,0,0,0,3,1,1,0,0,3,1,1,1,1,1,0,2,2,2,2,1,0,0,0,0,0,0,0
1,4,0,3,1,0,1,0,3,2,1,2,0,2,1,1,2,1,1,1,0,0,0,2,2,2,1,1,1,2,3,2,2,2,0,1,1,1,3,1,1,2,1,0,1,1,0,0,0,0,0,0,0
2,1,2,1,0,2,0,1,2,0,2,1,1,1,1,1,2,2,3,2,2,2,2,0,1,0,1,1,3,2,1,1,1,0,4,3,0,1,0,1,2,0,1,0,2,0,2,0,0,0,0,0,0
1,0,0,2,0,3,0,2,0,1,0,2,0,0,0,0,0,0,1,2,2,2,0,4,2,2,1,3,4,3,7,0,1,0,2,1,0,2,1,2,2,1,0,1,1,1,1,0,0,0,0,0,0
2,2,2,0,1,0,1,1,1,1,3,0,0,1,4,0,2,2,0,2,0,0,2,2,1,0,2,2,3,1,0,0,1,3,4,1,0,1,1,1,0,0,0,3,2,3,2,0,0,0,0,0,0
0,1,0,1,1,2,4,1,1,0,0,0,1,0,2,0,0,0,3,5,1,0,0,1,3,3,4,0,1,1,3,2,1,0,1,3,3,1,0,4,0,3,1,0,1,0,1,0,0,0,0,0,0
0,2,1,2,1,2,2,2,0,1,1,2,0,1,1,1,1,0,1,2,1,1,0,1,2,5,0,0,1,5,3,0,0,1,2,3,0,0,0,2,1,1,2,3,3,0,0,0,0,0,0,0,0
2,1,1,0,0,4,1,2,1,2,1,1,3,2,0,2,2,0,1,2,1,0,1,0,2,3,2,0,0,1,1,1,1,2,0,4,2,0,1,0,1,2,1,2,3,1,0,0,0,0,0,0,0
1,1,1,0,0,2,0,1,1,3,0,2,2,2,3,2,0,4,2,1,4,0,1,1,0,1,1,0,2,4,1,1,0,2,0,3,0,0,0,2,2,1,1,1,2,1,1,0,0,0,0,0,0
2,2,2,0,2,0,1,0,0,0,1,1,0,2,4,1,2,0,0,0,2,0,0,4,0,1,0,1,2,2,1,2,2,3,3,1,2,2,2,1,0,2,1,3,0,1,2,0,0,0,0,0,0
0,0,0,1,0,2,1,2,1,1,0,0,1,3,3,1,2,1,1,1,2,0,4,0,2,1,2,0,1,1,1,6,2,3,0,1,1,0,2,1,1,3,0,1,1,2,1,0,0,0,0,0,0
3,1,2,2,1,4,0,1,0,2,1,0,2,1,2,1,0,0,0,2,2,3,1,0,0,1,0,0,1,2,2,0,1,1,2,0,2,3,2,0,2,2,2,0,3,1,2,0,0,0,0,0,0
3,0,1,4,0,2,3,1,2,1,1,1,1,1,1,0,0,1,3,1,0,2,0,1,0,3,1,0,0,4,3,2,3,0,1,0,3,1,1,2,0,1,2,1,0,0,2,0,0,0,0,0,0
1,0,1,1,1,2,0,3,5,4,1,0,1,1,1,0,0,0,0,1,1,1,2,0,1,2,1,1,0,1,0,2,0,2,3,1,2,1,0,0,4,2,2,2,1,3,2,0,0,0,0,0,0
1,2,0,0,3,4,0,2,0,1,5,1,0,1,2,2,1,2,2,0,2,1,2,0,2,0,1,2,1,2,0,1,3,2,2,1,0,1,1,1,2,0,0,1,1,1,1,0,0,0,0,0,0
1,1,2,1,1,0,4,0,0,0,2,2,2,0,1,0,2,2,4,0,2,1,1,0,3,1,3,1,3,2,2,2,2,1,0,1,0,0,2,2,1,1,0,0,2,0,2,0,0,0,0,0,0
0,2,1,0,1,2,3,0,3,2,2,0,0,1,0,0,1,2,4,3,1,1,0,1,1,1,0,1,1,2,0,2,1,1,1,3,2,3,0,1,2,1,2,3,0,1,1,0,0,0,0,0,0
2,0,1,0,0,0,3,0,1,3,3,2,1,4,0,2,2,2,0,1,2,1,2,1,0,0,0,0,1,3,2,3,1,4,1,1,0,1,1,2,0,2,0,1,1,0,3,0,0,0,0,0,0
2,0,0,1,0,0,1,1,1,1,1,2,1,2,1,3,1,2,4,0,1,1,4,2,0,1,2,0,1,3,1,1,1,0,1,2,0,0,3,2,2,0,2,1,3,0,2,0,0,0,0,0,0
0,1,3,1,0,1,0,3,0,2,0,1,1,0,0,3,2,2,0,0,2,0,0,2,1,1,3,2,0,1,0,1,3,1,1,2,0,4,1,1,4,1,3,0,2,3,1,0,0,0,0,0,0
1,2,2,2,1,2,1,3,0,1,2,1,1,1,0,1,1,3,0,0,1,2,1,1,1,2,0,0,1,1,1,0,1,3,1,1,2,2,1,1,3,2,2,1,2,1,1,0,0,0,0,0,0
1,0,1,0,3,0,3,0,0,4,2,1,2,2,1,1,1,1,1,1,0,0,1,0,1,3,0,1,2,3,0,1,1,1,3,1,3,3,1,0,0,1,2,2,3,1,1,0,0,0,0,0,0
4,1,0,0,1,5,1,2,1,0,1,1,0,1,3,1,1,0,1,0,2,2,1,1,2,1,2,1,1,3,1,0,4,2,1,1,2,2,0,0,0,1,0,2,2,0,2,0,0,0,0,0,0
2,0,0,0,1,1,1,2,1,0,3,0,3,0,2,2,2,1,0,4,1,0,1,0,1,3,0,3,2,1,1,1,1,4,0,2,0,2,2,2,1,1,2,1,3,0,0,0,0,0,0,0,0
0,1,0,2,3,1,2,1,4,1,0,1,1,2,0,1,1,0,1,2,1,0,3,2,2,0,3,1,2,1,0,1,1,1,2,1,1,0,0,3,3,2,1,1,1,2,1,0,0,0,0,0,0
0,3,1,2,2,0,1,0,0,1,1,1,0,3,1,2,2,1,1,0,4,2,3,0,0,1,1,3,1,5,1,0,0,1,0,3,0,1,0,1,4,1,1,0,1,1,3,0,0,0,0,0,0
3,2,1,2,0,0,1,3,0,0,1,1,1,3,2,1,1,1,3,1,0,3,3,0,0,0,0,2,0,4,3,2,1,1,1,2,2,0,1,1,1,1,1,1,2,1,0,0,0,0,0,0,0
3,2,0,1,0,0,1,1,6,1,1,0,3,0,0,2,0,2,1,2,2,2,0,2,1,3,1,0,1,0,4,5,3,2,1,0,1,0,0,1,0,0,2,1,0,1,1,0,0,0,0,0,0
0,3,3,2,0,0,1,1,0,1,1,0,5,0,1,1,2,2,2,2,1,2,1,2,1,2,0,2,1,1,0,1,1,1,0,1,2,4,0,0,1,0,1,2,3,3,0,0,0,0,0,0,0
0,4,0,1,3,1,1,1,0,2,0,1,2,2,0,1,2,1,0,1,1,1,3,2,0,3,1,1,2,0,0,2,3,1,1,3,0,2,1,4,0,0,1,1,0,3,1,0,0,0,0,0,0
1,1,1,1,1,1,2,3,2,2,3,2,1,4,0,0,1,1,2,2,0,0,2,1,2,1,0,0,1,1,1,1,2,0,0,0,1,0,1,0,4,3,2,0,1,3,2,0,0,0,0,0,0
2,0,1,0,1,2,1,0,0,2,0,2,0,3,1,2,4,0,0,0,0,2,1,2,3,4,4,1,1,5,0,0,2,0,1,1,2,0,2,0,3,0,1,2,0,2,0,0,0,0,0,0,0
1,1,0,0,1,1,3,1,2,0,0,1,1,1,1,2,0,1,0,1,3,3,2,3,0,1,3,1,1,1,2,2,4,0,2,2,1,0,1,1,2,0,1,1,1,2,2,0,0,0,0,0,0
2,4,0,2,2,1,2,1,3,0,0,0,2,2,1,1,2,1,0,2,3,1,2,1,1,1,4,1,1,0,2,1,0,0,2,3,2,3,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,2,3,2,6,3,1,0,2,0,2,0,1,3,0,1,1,1,0,1,0,0,1,1,3,1,1,0,1,1,0,2,0,1,0,1,1,3,2,2,2,1,3,2,1,0,0,0,0,0,0
3,1,0,0,1,6,2,1,1,1,2,1,4,0,4,1,1,1,0,0,1,2,0,2,1,0,2,1,2,1,2,2,1,2,1,2,3,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0
2,0,3,2,1,3,1,1,0,0,2,2,2,2,2,0,0,1,0,3,1,1,4,0,0,0,2,0,1,0,1,4,0,2,0,2,3,1,2,0,2,3,2,2,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,30,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,45,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,30,0,15,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,30,15,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,45,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,15,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,40,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,20,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,20,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,40,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,20,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,30,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,30,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,30,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,15,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,15,15,0,0,0,0,0,0,0,0
0,0,15,0,0,0,0,15,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,15,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,30,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0
0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,15,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0
15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0
0,0,0,0,0,15,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,15,0,0,0,15,0,0,0,0,15,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,20,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0
20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,20,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,20,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,30,0,0,0,0,0,0
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0
30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0