a1,a2,a3,a4,a5,a6,b1,b2,b3,b4,b5,b6,c1,c2,c3,c4,c5,c6,d1,d2,d3,d4,d5,d6,e1,e2,e3,e4,e5,e6,f1,f2,f3,f4,f5,f6,g1,g2,g3,g4,g5,g6,class
1,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1
0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2,2,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,2,1,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,2
2,1,2,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1
1,1,2,1,1,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2
2,2,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,2,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,1,1,0,0,2
1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,0,1
2,0,0,0,0,0,2,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,2
2,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,2,1,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,1,0,0,0,0,1,2,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2
1,1,2,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
1,1,2,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,2,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,2,1,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,0,0,1
1,2,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,2,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,2,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
2,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,1,2,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,1,1,2,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,2,1,2,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2
2,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,2,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
2,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,2,1,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,2,0,0,0,0,1,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,1
1,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1
1,2,2,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,1,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,1
1,1,2,1,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,2,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,1,2,1,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,1,2,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2
2,2,1,0,0,0,2,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,0,0
1,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,1,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0
2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1
2,1,1,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2,1,0,0,0,0,2
2,0,0,0,0,0,1,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,1
1,2,2,1,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,1,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,2,1,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,2
1,2,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1
2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
1,2,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,2
0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,2,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2
1,2,1,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,1,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
1,2,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,2
1,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2
1,1,2,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1
2,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,0,1,0,0,0,0,0,2
1,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,2,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,2
2,2,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,0,0,0,0,2,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2
1,2,1,2,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,1,2,2,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
1,2,2,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,1,0
2,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2
1,1,2,0,0,0,2,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2
1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,1,0,1
1,2,2,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2
2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,2,0,0,2
2,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
2,0,0,0,0,0,1,2,1,2,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
2,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,2,1,0,0,0,1
2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,1,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,2,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,2,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,2
1,1,1,2,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,1,1,0,0,0,0,2
1,2,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,2,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,2,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0
1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,2,2,1,1,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0
1,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0
1,2,2,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,2,1,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0
2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2
2,2,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,2,1,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,1
1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,1,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,2,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1
1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,2
0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2
1,2,2,1,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1
2,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1
0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,2,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,2,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,1,2,1,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,1,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,2,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,1,2,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2
2,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,2,0,0,0,0,2
2,1,1,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,2
2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,2
0,0,0,0,0,0,1,2,2,2,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0
0,0,0,0,0,0,1,1,2,0,0,0,2,1,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,1
2,2,1,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
1,2,0,0,0,0,2,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1
1,2,2,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,1,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1
2,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0
0,0,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2
2,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,0,0,0,0,0,1,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2
0,0,0,0,0,0,2,1,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
1,2,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,2,2,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,2,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2
1,2,2,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,1,0,0,0,0,2,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,1,0,0,0,0,0,0
2,1,2,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1
1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,2,1,2,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,2,0,0,0,1,2,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,1,2,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2
1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1
2,2,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,2
2,2,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
1,0,0,0,0,0,2,2,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,1
1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
0,0,0,0,0,0,1,2,1,2,1,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,2,0,0,2,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,2
2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,2,2,1,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,1,0,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,2,2,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,1,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1
1,2,1,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0
2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,2,2,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,2,0,0,0,0,0,2
2,2,1,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2
1,2,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,1,2,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1
0,0,0,0,0,0,1,2,1,0,0,0,2,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,1,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,1,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1
1,2,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
2,1,2,1,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,2,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
1,1,2,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2
2,2,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1
2,1,2,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
2,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0
2,2,1,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
2,2,1,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0
2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,2,1,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
1,1,1,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1
2,1,2,1,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,2,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0
1,2,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1
2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
2,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2
1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0
2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,2,1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,2,1,0,0,0,0,2
2,2,2,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1
2,2,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,2,1,2,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
1,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,2,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,0,0,0,1
1,2,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,1,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,2
1,1,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2
1,2,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,2
1,1,2,0,0,0,2,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0
1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,2,2,1,2,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,1,1,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,0,0,2
2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,2
1,2,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,2
2,1,2,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,2,2,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,1,1,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1
2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,2
1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,2,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,2,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1
1,1,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
2,2,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2
2,2,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,2,1,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,1,2,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,2
1,1,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,1
1,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
2,1,1,2,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
2,1,1,0,0,0,1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2
2,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,2
2,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
1,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,0,0,0,0
1,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,1,0,0,0,0,2
1,2,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,0,0
0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,2,0,0,1
2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,2,2,0,0,0,2
1,1,1,2,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,1,2,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,1,1,2,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,0,0,2
2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,1,2,1,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,2
2,1,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,2
1,2,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
2,1,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,2,1,2,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,2,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
2,1,1,0,0,0,1,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,2,0,0,0,0,2
0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1
1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,2,2,0,0,2
2,1,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,1,0,0,0,0,0,1,2,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,1,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,2,0,0,0,0,0,1
2,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
1,2,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2
2,2,1,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,2,0,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,0,0,1
1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
1,1,2,2,0,0,2,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,2,1,0,0,0,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,1,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,1,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,0,2
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2
2,0,0,0,0,0,1,1,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,2,1,0,0,0,2,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
1,2,2,0,0,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,1,0,1
2,1,1,2,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,0,0,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,2
2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,1
1,2,2,1,0,0,2,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
2,2,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,2
2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,2,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,2,2,1,1,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,0,0,1
2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,1,2
0,0,0,0,0,0,1,0,0,0,0,0,2,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,2,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2,2,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,2,2,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,2,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
1,1,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,1,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,2
1,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1
2,2,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1
1,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0
1,2,0,0,0,0,2,0,0,0,0,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1
2,1,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,1,2,1,0,0,2
2,1,2,2,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,1,1,2,0,2
2,0,0,0,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,2
2,1,1,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
1,0,0,0,0,0,1,1,2,2,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,1,2,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2
2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,1
2,1,2,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,1,1,0,0,2
2,0,0,0,0,0,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,1,2,2,0,0,2
1,0,0,0,0,0,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2
2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,1,1,0,0,0,0,2,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,2,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,1,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,2,2,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,2,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,1
2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,0,1
2,0,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2,2,1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
1,0,0,0,0,0,1,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2
2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,2
0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2
2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,0,0,1,0,0,0,0,0,2
1,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,2
2,0,0,0,0,0,1,1,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1
1,1,0,0,0,0,1,0,0,0,0,0,2,1,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,0,0,2
1,2,0,0,0,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0
2,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,1,2,1,0,0,0,0,0,0,2
2,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,2,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,1,2,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
2,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,2,1,2,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2
2,2,1,1,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,2,1,2,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2
1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1
1,0,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1