gwft := [[0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 
1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 
0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 
0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 
1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 
1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 
2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 
0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 
0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 
1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 
0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 
2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 
2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 
2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 
1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 
0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 
1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 
0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 
2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 
0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 
0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 
2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 
1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 
2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 
0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 
0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 
0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 
0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 
1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 
0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 
2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 
1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 
1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 
1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 
1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 
2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 
2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 
2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 
2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 
0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 
2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 
0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 
2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 
1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 
2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 
1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 
1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 
1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 
1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 
1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 
0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 
1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 
2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 
1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 
2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 
2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 
0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 
2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 
1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 
1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 
1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 
2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 
1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 
0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 
1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 
0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 
2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 
0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 
0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 
1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 
0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 
0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 
2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 
1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 
2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 
1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0], [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 
1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0]]:
rw := [51, 94, 35, 9, 52, 17, 23, 33, 29, 3, 73, 38, 81, 42, 31, 75, 84, 5, 87, 
26, 49, 25, 37, 6, 79, 21, 19, 74, 80, 8, 89, 14, 58, 7, 78, 2, 77, 22, 11, 68, 
91, 92, 13, 63, 76, 85, 66, 100, 102, 20, 57, 0, 4, 110, 62, 72, 88, 50, 32, 
103, 112, 96, 54, 43, 109, 106, 46, 98, 39, 82, 108, 113, 55, 10, 27, 15, 44, 
36, 34, 24, 28, 12, 69, 93, 16, 45, 107, 18, 56, 30, 99, 40, 41, 83, 1, 111, 
61, 101, 67, 90, 47, 97, 48, 59, 105, 104, 65, 86, 70, 64, 53, 95, 60, 71]:
acw2 := [[0, 32], [0, 39], [0, 41], [0, 43], [0, 46], [0, 47], [0, 48], [0, 
50], [0, 51], [0, 53], [0, 54], [0, 55], [0, 57], [0, 59], [0, 60], [0, 61], 
[0, 62], [0, 63], [0, 64], [0, 65], [0, 66], [0, 68], [0, 69], [0, 70], [0, 
71], [0, 72], [0, 82], [0, 83], [0, 92], [0, 93], [0, 95], [0, 96], [0, 100], 
[0, 102], [0, 103], [0, 104], [0, 105], [0, 106], [0, 108], [0, 109], [0, 110], 
[0, 111], [0, 112], [0, 113], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [1, 7], 
[1, 8], [1, 10], [1, 11], [1, 12], [1, 13], [1, 14], [1, 15], [1, 16], [1, 17], 
[1, 18], [1, 19], [1, 20], [1, 21], [1, 22], [1, 23], [1, 24], [1, 25], [1, 
26], [1, 27], [1, 28], [1, 29], [1, 30], [1, 33], [1, 34], [1, 35], [1, 37], 
[1, 38], [1, 40], [1, 42], [1, 44], [1, 45], [1, 49], [1, 52], [1, 73], [1, 
74], [1, 75], [1, 76], [1, 77], [1, 78], [1, 79], [1, 80], [1, 81], [1, 84], 
[1, 85], [1, 87], [1, 89], [1, 91], [1, 94], [2, 3], [2, 4], [2, 5], [2, 7], 
[2, 9], [2, 10], [2, 11], [2, 12], [2, 13], [2, 15], [2, 16], [2, 17], [2, 18], 
[2, 20], [2, 22], [2, 23], [2, 24], [2, 25], [2, 27], [2, 28], [2, 29], [2, 
30], [2, 31], [2, 33], [2, 34], [2, 35], [2, 36], [2, 37], [2, 38], [2, 40], 
[2, 42], [2, 44], [2, 45], [2, 49], [2, 52], [2, 73], [2, 75], [2, 77], [2, 
78], [2, 81], [2, 87], [2, 91], [2, 94], [3, 4], [3, 5], [3, 6], [3, 7], [3, 
8], [3, 9], [3, 10], [3, 11], [3, 12], [3, 13], [3, 14], [3, 15], [3, 16], [3, 
17], [3, 18], [3, 20], [3, 21], [3, 22], [3, 23], [3, 24], [3, 25], [3, 26], 
[3, 27], [3, 29], [3, 31], [3, 33], [3, 34], [3, 35], [3, 36], [3, 37], [3, 
38], [3, 40], [3, 42], [3, 49], [3, 52], [3, 73], [3, 75], [3, 77], [3, 78], 
[3, 79], [3, 81], [3, 84], [3, 87], [3, 89], [3, 91], [4, 5], [4, 6], [4, 7], 
[4, 8], [4, 9], [4, 10], [4, 11], [4, 12], [4, 13], [4, 14], [4, 15], [4, 16], 
[4, 17], [4, 18], [4, 20], [4, 21], [4, 22], [4, 23], [4, 24], [4, 25], [4, 
26], [4, 27], [4, 28], [4, 29], [4, 30], [4, 33], [4, 34], [4, 35], [4, 36], 
[4, 37], [4, 38], [4, 40], [4, 42], [4, 44], [4, 45], [4, 49], [4, 52], [4, 
78], [4, 79], [4, 81], [4, 87], [4, 89], [4, 91], [4, 94], [5, 6], [5, 7], [5, 
8], [5, 9], [5, 10], [5, 11], [5, 12], [5, 13], [5, 14], [5, 15], [5, 16], [5, 
17], [5, 18], [5, 19], [5, 20], [5, 21], [5, 22], [5, 23], [5, 24], [5, 25], 
[5, 26], [5, 27], [5, 28], [5, 29], [5, 30], [5, 31], [5, 33], [5, 34], [5, 
35], [5, 36], [5, 37], [5, 49], [5, 52], [5, 73], [5, 74], [5, 75], [5, 77], 
[5, 78], [5, 79], [5, 81], [5, 84], [5, 87], [5, 89], [5, 91], [5, 94], [6, 7], 
[6, 8], [6, 9], [6, 10], [6, 11], [6, 12], [6, 13], [6, 14], [6, 15], [6, 16], 
[6, 17], [6, 18], [6, 19], [6, 20], [6, 21], [6, 22], [6, 23], [6, 24], [6, 
25], [6, 26], [6, 27], [6, 28], [6, 29], [6, 30], [6, 31], [6, 33], [6, 34], 
[6, 35], [6, 36], [6, 37], [6, 38], [6, 40], [6, 42], [6, 44], [6, 45], [6, 
49], [6, 52], [6, 73], [6, 74], [6, 75], [6, 77], [6, 78], [6, 79], [6, 87], 
[6, 89], [6, 91], [6, 94], [7, 8], [7, 9], [7, 10], [7, 11], [7, 12], [7, 13], 
[7, 14], [7, 15], [7, 16], [7, 17], [7, 18], [7, 19], [7, 20], [7, 21], [7, 
22], [7, 23], [7, 24], [7, 25], [7, 26], [7, 27], [7, 28], [7, 29], [7, 30], 
[7, 31], [7, 33], [7, 34], [7, 35], [7, 36], [7, 37], [7, 38], [7, 40], [7, 
42], [7, 44], [7, 45], [7, 52], [7, 73], [7, 74], [7, 75], [7, 77], [7, 78], 
[7, 79], [7, 81], [7, 87], [7, 89], [7, 91], [7, 94], [8, 9], [8, 10], [8, 11], 
[8, 12], [8, 13], [8, 14], [8, 15], [8, 16], [8, 17], [8, 18], [8, 19], [8, 
20], [8, 21], [8, 22], [8, 23], [8, 24], [8, 25], [8, 26], [8, 27], [8, 28], 
[8, 29], [8, 30], [8, 31], [8, 33], [8, 34], [8, 35], [8, 36], [8, 37], [8, 
38], [8, 40], [8, 42], [8, 44], [8, 45], [8, 49], [8, 52], [8, 73], [8, 74], 
[8, 75], [8, 77], [8, 78], [8, 79], [8, 81], [8, 87], [8, 89], [8, 91], [8, 
94], [9, 10], [9, 11], [9, 12], [9, 13], [9, 14], [9, 15], [9, 16], [9, 17], 
[9, 18], [9, 19], [9, 20], [9, 21], [9, 22], [9, 23], [9, 24], [9, 25], [9, 
29], [9, 30], [9, 31], [9, 33], [9, 34], [9, 35], [9, 36], [9, 37], [9, 38], 
[9, 40], [9, 42], [9, 49], [9, 52], [9, 73], [9, 74], [9, 75], [9, 77], [9, 
78], [9, 79], [9, 81], [9, 84], [9, 87], [9, 91], [9, 94], [10, 11], [10, 12], 
[10, 13], [10, 14], [10, 15], [10, 16], [10, 17], [10, 18], [10, 19], [10, 20], 
[10, 21], [10, 22], [10, 23], [10, 24], [10, 25], [10, 26], [10, 27], [10, 28], 
[10, 29], [10, 30], [10, 31], [10, 33], [10, 34], [10, 35], [10, 36], [10, 37], 
[10, 38], [10, 40], [10, 42], [10, 44], [10, 45], [10, 73], [10, 74], [10, 75], 
[10, 77], [10, 78], [10, 79], [10, 81], [10, 84], [10, 87], [10, 89], [10, 91], 
[10, 94], [11, 12], [11, 13], [11, 14], [11, 15], [11, 16], [11, 18], [11, 19], 
[11, 20], [11, 21], [11, 22], [11, 23], [11, 24], [11, 25], [11, 26], [11, 27], 
[11, 28], [11, 29], [11, 30], [11, 31], [11, 33], [11, 34], [11, 35], [11, 36], 
[11, 37], [11, 38], [11, 40], [11, 42], [11, 44], [11, 45], [11, 49], [11, 52], 
[11, 73], [11, 74], [11, 75], [11, 77], [11, 78], [11, 79], [11, 81], [11, 89], 
[11, 91], [11, 94], [12, 13], [12, 14], [12, 15], [12, 16], [12, 17], [12, 18], 
[12, 19], [12, 20], [12, 21], [12, 22], [12, 26], [12, 27], [12, 28], [12, 29], 
[12, 30], [12, 31], [12, 33], [12, 34], [12, 35], [12, 36], [12, 37], [12, 38], 
[12, 40], [12, 42], [12, 44], [12, 45], [12, 49], [12, 52], [12, 73], [12, 74], 
[12, 75], [12, 77], [12, 78], [12, 79], [12, 81], [12, 84], [12, 87], [12, 89], 
[12, 91], [12, 94], [13, 14], [13, 15], [13, 16], [13, 18], [13, 19], [13, 20], 
[13, 21], [13, 22], [13, 23], [13, 25], [13, 26], [13, 27], [13, 29], [13, 30], 
[13, 31], [13, 33], [13, 35], [13, 36], [13, 37], [13, 38], [13, 40], [13, 42], 
[13, 44], [13, 45], [13, 49], [13, 52], [13, 73], [13, 74], [13, 75], [13, 77], 
[13, 78], [13, 79], [13, 80], [13, 81], [13, 87], [13, 89], [13, 91], [13, 94], 
[14, 15], [14, 16], [14, 17], [14, 18], [14, 19], [14, 20], [14, 21], [14, 22], 
[14, 23], [14, 24], [14, 25], [14, 26], [14, 27], [14, 29], [14, 30], [14, 31], 
[14, 33], [14, 34], [14, 35], [14, 36], [14, 37], [14, 38], [14, 40], [14, 42], 
[14, 44], [14, 45], [14, 49], [14, 73], [14, 74], [14, 75], [14, 77], [14, 78], 
[14, 79], [14, 80], [14, 81], [14, 87], [14, 89], [14, 91], [15, 16], [15, 17], 
[15, 18], [15, 19], [15, 20], [15, 21], [15, 22], [15, 23], [15, 24], [15, 25], 
[15, 26], [15, 27], [15, 29], [15, 30], [15, 31], [15, 33], [15, 34], [15, 35], 
[15, 36], [15, 37], [15, 38], [15, 40], [15, 42], [15, 44], [15, 45], [15, 73], 
[15, 74], [15, 75], [15, 77], [15, 78], [15, 79], [15, 80], [15, 81], [15, 84], 
[15, 87], [15, 89], [15, 91], [15, 94], [16, 17], [16, 18], [16, 19], [16, 20], 
[16, 21], [16, 22], [16, 73], [16, 74], [16, 75], [16, 77], [16, 78], [16, 79], 
[16, 80], [16, 81], [16, 84], [16, 87], [16, 89], [16, 91], [16, 94], [17, 18], 
[17, 19], [17, 20], [17, 21], [17, 22], [17, 23], [17, 24], [17, 25], [17, 26], 
[17, 27], [17, 29], [17, 30], [17, 31], [17, 33], [17, 34], [17, 35], [17, 36], 
[17, 37], [17, 38], [17, 40], [17, 42], [17, 49], [17, 52], [17, 73], [17, 74], 
[17, 75], [17, 77], [17, 78], [17, 79], [17, 80], [17, 81], [17, 84], [17, 87], 
[17, 89], [17, 94], [18, 19], [18, 20], [18, 21], [18, 22], [18, 23], [18, 24], 
[18, 25], [18, 26], [18, 27], [18, 29], [18, 30], [18, 31], [18, 33], [18, 34], 
[18, 35], [18, 36], [18, 37], [18, 40], [18, 42], [18, 44], [18, 45], [18, 49], 
[18, 52], [18, 73], [18, 74], [18, 75], [18, 77], [18, 78], [18, 79], [18, 80], 
[18, 81], [18, 84], [18, 87], [18, 89], [18, 91], [18, 94], [19, 20], [19, 21], 
[19, 22], [19, 23], [19, 24], [19, 25], [19, 26], [19, 27], [19, 29], [19, 30], 
[19, 31], [19, 33], [19, 34], [19, 36], [19, 37], [19, 38], [19, 40], [19, 42], 
[19, 44], [19, 45], [19, 49], [19, 52], [19, 73], [19, 74], [19, 75], [19, 77], 
[19, 78], [19, 79], [19, 80], [19, 81], [19, 87], [19, 89], [19, 91], [19, 94], 
[20, 22], [20, 23], [20, 24], [20, 25], [20, 26], [20, 27], [20, 29], [20, 30], 
[20, 31], [20, 34], [20, 35], [20, 36], [20, 37], [20, 38], [20, 40], [20, 42], 
[20, 44], [20, 45], [20, 49], [20, 52], [20, 78], [20, 79], [20, 80], [20, 81], 
[20, 87], [20, 89], [20, 91], [20, 94], [21, 22], [21, 23], [21, 24], [21, 25], 
[21, 26], [21, 27], [21, 28], [21, 29], [21, 30], [21, 31], [21, 33], [21, 34], 
[21, 35], [21, 36], [21, 37], [21, 38], [21, 40], [21, 42], [21, 44], [21, 45], 
[21, 49], [21, 52], [21, 73], [21, 74], [21, 75], [21, 77], [21, 78], [21, 79], 
[21, 80], [21, 87], [21, 89], [21, 91], [21, 94], [22, 23], [22, 24], [22, 25], 
[22, 26], [22, 27], [22, 28], [22, 29], [22, 30], [22, 31], [22, 33], [22, 34], 
[22, 35], [22, 36], [22, 37], [22, 38], [22, 40], [22, 42], [22, 44], [22, 45], 
[22, 49], [22, 52], [22, 73], [22, 74], [22, 75], [22, 77], [22, 78], [22, 79], 
[22, 80], [22, 81], [22, 87], [22, 89], [22, 91], [22, 94], [23, 24], [23, 25], 
[23, 26], [23, 27], [23, 29], [23, 30], [23, 31], [23, 33], [23, 34], [23, 36], 
[23, 37], [23, 38], [23, 40], [23, 42], [23, 49], [23, 52], [23, 73], [23, 74], 
[23, 75], [23, 76], [23, 77], [23, 78], [23, 79], [23, 80], [23, 81], [23, 84], 
[23, 85], [23, 87], [23, 89], [23, 91], [23, 94], [24, 25], [24, 26], [24, 27], 
[24, 28], [24, 29], [24, 30], [24, 31], [24, 33], [24, 34], [24, 36], [24, 37], 
[24, 38], [24, 40], [24, 42], [24, 44], [24, 49], [24, 52], [24, 73], [24, 74], 
[24, 75], [24, 76], [24, 77], [24, 78], [24, 79], [24, 80], [24, 81], [24, 84], 
[24, 85], [24, 87], [24, 89], [24, 91], [24, 94], [25, 26], [25, 27], [25, 28], 
[25, 29], [25, 30], [25, 31], [25, 33], [25, 34], [25, 36], [25, 37], [25, 38], 
[25, 40], [25, 42], [25, 52], [25, 73], [25, 74], [25, 75], [25, 76], [25, 77], 
[25, 78], [25, 79], [25, 80], [25, 81], [25, 84], [25, 85], [25, 87], [25, 89], 
[25, 91], [25, 94], [26, 27], [26, 28], [26, 29], [26, 30], [26, 31], [26, 33], 
[26, 34], [26, 36], [26, 37], [26, 38], [26, 40], [26, 42], [26, 49], [26, 73], 
[26, 74], [26, 75], [26, 76], [26, 77], [26, 78], [26, 79], [26, 81], [26, 84], 
[26, 85], [26, 87], [26, 89], [26, 91], [26, 94], [27, 28], [27, 29], [27, 30], 
[27, 31], [27, 33], [27, 34], [27, 36], [27, 37], [27, 38], [27, 40], [27, 42], 
[27, 44], [27, 73], [27, 74], [27, 75], [27, 76], [27, 77], [27, 78], [27, 79], 
[27, 80], [27, 81], [27, 84], [27, 85], [27, 87], [27, 89], [27, 91], [27, 94], 
[28, 30], [28, 31], [28, 34], [28, 36], [28, 37], [28, 40], [28, 42], [28, 44], 
[28, 49], [28, 74], [28, 75], [28, 76], [28, 77], [28, 78], [28, 79], [28, 80], 
[28, 84], [28, 85], [28, 87], [28, 89], [28, 91], [28, 94], [29, 30], [29, 31], 
[29, 33], [29, 34], [29, 36], [29, 37], [29, 38], [29, 40], [29, 42], [29, 49], 
[29, 52], [29, 73], [29, 74], [29, 75], [29, 76], [29, 77], [29, 78], [29, 79], 
[29, 80], [29, 81], [29, 84], [29, 85], [29, 87], [29, 89], [29, 91], [29, 94], 
[30, 31], [30, 33], [30, 34], [30, 36], [30, 37], [30, 38], [30, 40], [30, 42], 
[30, 44], [30, 49], [30, 52], [30, 73], [30, 74], [30, 75], [30, 76], [30, 77], 
[30, 78], [30, 79], [30, 80], [30, 81], [30, 84], [30, 85], [30, 87], [30, 89], 
[30, 91], [30, 94], [31, 33], [31, 34], [31, 36], [31, 37], [31, 38], [31, 40], 
[31, 42], [31, 49], [31, 52], [31, 73], [31, 74], [31, 75], [31, 76], [31, 77], 
[31, 78], [31, 79], [31, 81], [31, 84], [31, 85], [31, 87], [31, 89], [31, 91], 
[31, 94], [32, 43], [32, 50], [32, 53], [32, 54], [32, 57], [32, 58], [32, 60], 
[32, 62], [32, 63], [32, 64], [32, 66], [32, 68], [32, 70], [32, 71], [32, 72], 
[32, 88], [32, 92], [32, 95], [32, 96], [32, 100], [32, 102], [32, 103], [32, 
109], [32, 110], [32, 112], [33, 34], [33, 35], [33, 36], [33, 37], [33, 38], 
[33, 40], [33, 42], [33, 49], [33, 52], [33, 73], [33, 74], [33, 75], [33, 76], 
[33, 77], [33, 78], [33, 79], [33, 80], [33, 81], [33, 84], [33, 85], [33, 87], 
[33, 89], [33, 91], [33, 94], [34, 35], [34, 36], [34, 37], [34, 38], [34, 40], 
[34, 42], [34, 44], [34, 45], [34, 49], [34, 52], [34, 73], [34, 74], [34, 75], 
[34, 76], [34, 77], [34, 78], [34, 79], [34, 80], [34, 81], [34, 84], [34, 85], 
[34, 87], [34, 89], [34, 91], [34, 94], [35, 36], [35, 37], [35, 38], [35, 40], 
[35, 42], [35, 49], [35, 52], [35, 73], [35, 74], [35, 75], [35, 76], [35, 77], 
[35, 78], [35, 79], [35, 80], [35, 81], [35, 84], [35, 85], [35, 87], [35, 89], 
[35, 91], [35, 94], [36, 37], [36, 38], [36, 40], [36, 42], [36, 73], [36, 74], 
[36, 75], [36, 76], [36, 77], [36, 78], [36, 79], [36, 80], [36, 81], [36, 84], 
[36, 85], [36, 87], [36, 89], [36, 91], [36, 94], [37, 38], [37, 40], [37, 42], 
[37, 49], [37, 52], [37, 73], [37, 74], [37, 75], [37, 76], [37, 77], [37, 78], 
[37, 79], [37, 80], [37, 81], [37, 84], [37, 85], [37, 87], [37, 89], [37, 91], 
[37, 94], [38, 40], [38, 42], [38, 49], [38, 52], [38, 73], [38, 74], [38, 75], 
[38, 76], [38, 77], [38, 78], [38, 79], [38, 80], [38, 81], [38, 84], [38, 85], 
[38, 87], [38, 89], [38, 91], [38, 94], [39, 41], [39, 43], [39, 46], [39, 50], 
[39, 51], [39, 53], [39, 54], [39, 55], [39, 57], [39, 58], [39, 60], [39, 61], 
[39, 62], [39, 63], [39, 64], [39, 66], [39, 68], [39, 69], [39, 70], [39, 71], 
[39, 72], [39, 82], [39, 83], [39, 88], [39, 92], [39, 93], [39, 95], [39, 96], 
[39, 98], [39, 99], [39, 100], [39, 102], [39, 103], [39, 106], [39, 108], [39, 
109], [39, 110], [39, 111], [39, 112], [39, 113], [40, 42], [40, 44], [40, 45], 
[40, 49], [40, 52], [40, 73], [40, 74], [40, 75], [40, 76], [40, 77], [40, 78], 
[40, 79], [40, 80], [40, 81], [40, 84], [40, 85], [40, 87], [40, 89], [40, 91], 
[40, 94], [41, 43], [41, 46], [41, 50], [41, 51], [41, 53], [41, 54], [41, 55], 
[41, 57], [41, 58], [41, 60], [41, 61], [41, 62], [41, 63], [41, 64], [41, 66], 
[41, 68], [41, 69], [41, 70], [41, 71], [41, 72], [41, 82], [41, 83], [41, 88], 
[41, 92], [41, 93], [41, 95], [41, 96], [41, 98], [41, 99], [41, 100], [41, 
102], [41, 103], [41, 106], [41, 108], [41, 109], [41, 110], [41, 111], [41, 
112], [41, 113], [42, 49], [42, 52], [42, 73], [42, 74], [42, 75], [42, 76], 
[42, 77], [42, 81], [42, 84], [42, 85], [42, 87], [42, 89], [42, 91], [42, 94], 
[43, 46], [43, 50], [43, 51], [43, 53], [43, 54], [43, 55], [43, 57], [43, 58], 
[43, 60], [43, 61], [43, 62], [43, 63], [43, 64], [43, 66], [43, 68], [43, 69], 
[43, 70], [43, 71], [43, 72], [43, 82], [43, 83], [43, 88], [43, 92], [43, 93], 
[43, 95], [43, 96], [43, 98], [43, 99], [43, 100], [43, 102], [43, 103], [43, 
106], [43, 108], [43, 109], [43, 110], [43, 111], [43, 112], [43, 113], [44, 
45], [44, 74], [44, 76], [44, 77], [44, 78], [44, 79], [44, 80], [44, 85], [44, 
89], [44, 91], [44, 94], [45, 74], [45, 76], [45, 77], [45, 78], [45, 79], [45, 
80], [45, 85], [45, 89], [45, 91], [45, 94], [46, 47], [46, 48], [46, 50], [46, 
51], [46, 53], [46, 54], [46, 55], [46, 57], [46, 58], [46, 59], [46, 60], [46, 
61], [46, 62], [46, 63], [46, 64], [46, 65], [46, 66], [46, 68], [46, 69], [46, 
70], [46, 71], [46, 72], [46, 82], [46, 83], [46, 88], [46, 92], [46, 93], [46, 
95], [46, 96], [46, 97], [46, 98], [46, 99], [46, 100], [46, 102], [46, 103], 
[46, 104], [46, 105], [46, 106], [46, 108], [46, 109], [46, 110], [46, 111], 
[46, 112], [46, 113], [47, 48], [47, 50], [47, 51], [47, 53], [47, 54], [47, 
57], [47, 58], [47, 59], [47, 60], [47, 61], [47, 62], [47, 63], [47, 64], [47, 
65], [47, 66], [47, 68], [47, 69], [47, 70], [47, 71], [47, 72], [47, 82], [47, 
83], [47, 86], [47, 88], [47, 92], [47, 93], [47, 95], [47, 96], [47, 97], [47, 
98], [47, 99], [47, 100], [47, 102], [47, 103], [47, 104], [47, 105], [47, 
106], [47, 108], [47, 109], [47, 110], [47, 111], [47, 112], [47, 113], [48, 
50], [48, 51], [48, 53], [48, 54], [48, 57], [48, 58], [48, 59], [48, 60], [48, 
61], [48, 62], [48, 63], [48, 64], [48, 65], [48, 66], [48, 68], [48, 69], [48, 
70], [48, 71], [48, 72], [48, 83], [48, 86], [48, 88], [48, 92], [48, 93], [48, 
95], [48, 96], [48, 97], [48, 98], [48, 99], [48, 100], [48, 102], [48, 103], 
[48, 104], [48, 105], [48, 106], [48, 110], [48, 111], [48, 112], [48, 113], 
[49, 52], [49, 73], [49, 74], [49, 75], [49, 76], [49, 77], [49, 78], [49, 79], 
[49, 81], [49, 84], [49, 85], [49, 87], [49, 89], [49, 91], [49, 94], [50, 51], 
[50, 53], [50, 54], [50, 55], [50, 57], [50, 58], [50, 59], [50, 60], [50, 61], 
[50, 62], [50, 63], [50, 64], [50, 65], [50, 66], [50, 68], [50, 69], [50, 70], 
[50, 71], [50, 72], [50, 82], [50, 83], [50, 88], [50, 92], [50, 93], [50, 95], 
[50, 96], [50, 97], [50, 98], [50, 99], [50, 100], [50, 102], [50, 103], [50, 
104], [50, 105], [50, 106], [50, 108], [50, 109], [50, 110], [50, 111], [50, 
112], [50, 113], [51, 53], [51, 54], [51, 55], [51, 57], [51, 58], [51, 59], 
[51, 60], [51, 61], [51, 62], [51, 63], [51, 64], [51, 65], [51, 66], [51, 68], 
[51, 69], [51, 70], [51, 71], [51, 72], [51, 82], [51, 83], [51, 92], [51, 93], 
[51, 95], [51, 96], [51, 100], [51, 102], [51, 103], [51, 104], [51, 105], [51, 
106], [51, 108], [51, 109], [51, 110], [51, 111], [51, 112], [51, 113], [52, 
73], [52, 74], [52, 75], [52, 76], [52, 77], [52, 78], [52, 79], [52, 80], [52, 
81], [52, 84], [52, 85], [52, 87], [52, 89], [52, 91], [52, 94], [53, 54], [53, 
57], [53, 58], [53, 59], [53, 60], [53, 61], [53, 62], [53, 63], [53, 64], [53, 
65], [53, 66], [53, 68], [53, 69], [53, 70], [53, 71], [53, 72], [53, 82], [53, 
83], [53, 86], [53, 88], [53, 92], [53, 93], [53, 95], [53, 96], [53, 97], [53, 
98], [53, 99], [53, 100], [53, 102], [53, 103], [53, 104], [53, 105], [53, 
106], [53, 108], [53, 109], [53, 110], [53, 111], [53, 112], [53, 113], [54, 
55], [54, 57], [54, 58], [54, 59], [54, 60], [54, 61], [54, 62], [54, 63], [54, 
64], [54, 65], [54, 66], [54, 68], [54, 69], [54, 70], [54, 71], [54, 72], [54, 
82], [54, 83], [54, 88], [54, 92], [54, 93], [54, 95], [54, 96], [54, 97], [54, 
98], [54, 99], [54, 100], [54, 102], [54, 103], [54, 104], [54, 105], [54, 
106], [54, 108], [54, 109], [54, 110], [54, 111], [54, 112], [54, 113], [55, 
57], [55, 58], [55, 61], [55, 62], [55, 63], [55, 66], [55, 68], [55, 69], [55, 
72], [55, 82], [55, 83], [55, 88], [55, 92], [55, 93], [55, 96], [55, 98], [55, 
99], [55, 100], [55, 102], [55, 103], [55, 106], [55, 108], [55, 109], [55, 
110], [55, 111], [55, 112], [55, 113], [56, 57], [56, 58], [56, 59], [56, 60], 
[56, 61], [56, 62], [56, 63], [56, 64], [56, 65], [56, 66], [56, 67], [56, 68], 
[56, 69], [56, 70], [56, 71], [56, 72], [56, 82], [56, 83], [56, 88], [56, 90], 
[56, 92], [56, 93], [56, 95], [56, 96], [56, 97], [56, 98], [56, 99], [56, 
100], [56, 101], [56, 102], [56, 103], [56, 104], [56, 105], [56, 106], [56, 
108], [56, 109], [56, 110], [56, 111], [56, 112], [56, 113], [57, 58], [57, 
59], [57, 60], [57, 61], [57, 62], [57, 63], [57, 64], [57, 65], [57, 66], [57, 
67], [57, 68], [57, 69], [57, 70], [57, 71], [57, 72], [57, 82], [57, 83], [57, 
90], [57, 92], [57, 93], [57, 95], [57, 96], [57, 100], [57, 101], [57, 102], 
[57, 103], [57, 104], [57, 105], [57, 106], [57, 108], [57, 109], [57, 110], 
[57, 111], [57, 112], [57, 113], [58, 59], [58, 60], [58, 61], [58, 62], [58, 
63], [58, 64], [58, 108], [58, 109], [58, 110], [58, 111], [58, 112], [58, 
113], [59, 60], [59, 61], [59, 62], [59, 63], [59, 64], [59, 65], [59, 66], 
[59, 67], [59, 68], [59, 69], [59, 70], [59, 71], [59, 72], [59, 82], [59, 86], 
[59, 88], [59, 90], [59, 92], [59, 93], [59, 95], [59, 96], [59, 97], [59, 98], 
[59, 99], [59, 100], [59, 101], [59, 102], [59, 103], [59, 104], [59, 105], 
[59, 106], [59, 108], [59, 110], [59, 111], [59, 112], [59, 113], [60, 61], 
[60, 62], [60, 63], [60, 64], [60, 65], [60, 66], [60, 67], [60, 68], [60, 69], 
[60, 70], [60, 71], [60, 72], [60, 82], [60, 83], [60, 86], [60, 88], [60, 90], 
[60, 92], [60, 93], [60, 95], [60, 96], [60, 97], [60, 98], [60, 99], [60, 
100], [60, 101], [60, 102], [60, 103], [60, 104], [60, 105], [60, 106], [60, 
108], [60, 109], [60, 110], [60, 111], [60, 112], [60, 113], [61, 62], [61, 
63], [61, 64], [61, 65], [61, 66], [61, 67], [61, 68], [61, 69], [61, 70], [61, 
71], [61, 72], [61, 82], [61, 83], [61, 88], [61, 90], [61, 92], [61, 93], [61, 
95], [61, 96], [61, 97], [61, 98], [61, 99], [61, 100], [61, 101], [61, 102], 
[61, 103], [61, 104], [61, 105], [61, 106], [61, 108], [61, 109], [61, 110], 
[61, 111], [61, 112], [61, 113], [62, 63], [62, 64], [62, 65], [62, 66], [62, 
67], [62, 68], [62, 69], [62, 70], [62, 71], [62, 72], [62, 82], [62, 83], [62, 
90], [62, 92], [62, 93], [62, 95], [62, 96], [62, 100], [62, 101], [62, 102], 
[62, 103], [62, 104], [62, 105], [62, 106], [62, 108], [62, 109], [62, 110], 
[62, 111], [62, 112], [62, 113], [63, 64], [63, 65], [63, 66], [63, 67], [63, 
68], [63, 69], [63, 70], [63, 71], [63, 72], [63, 82], [63, 83], [63, 90], [63, 
92], [63, 93], [63, 95], [63, 96], [63, 108], [63, 109], [63, 110], [63, 111], 
[63, 112], [63, 113], [64, 65], [64, 66], [64, 67], [64, 68], [64, 69], [64, 
70], [64, 71], [64, 72], [64, 82], [64, 83], [64, 86], [64, 88], [64, 90], [64, 
92], [64, 93], [64, 95], [64, 96], [64, 97], [64, 98], [64, 99], [64, 100], 
[64, 101], [64, 105], [64, 106], [64, 108], [64, 109], [64, 110], [64, 111], 
[64, 112], [64, 113], [65, 66], [65, 67], [65, 68], [65, 69], [65, 70], [65, 
71], [65, 72], [65, 82], [65, 83], [65, 86], [65, 88], [65, 90], [65, 92], [65, 
93], [65, 95], [65, 96], [65, 97], [65, 98], [65, 99], [65, 100], [65, 101], 
[65, 102], [65, 103], [65, 104], [65, 105], [65, 106], [65, 108], [65, 109], 
[65, 110], [65, 111], [65, 112], [65, 113], [66, 67], [66, 68], [66, 69], [66, 
70], [66, 71], [66, 72], [66, 82], [66, 83], [66, 90], [66, 92], [66, 93], [66, 
95], [66, 96], [66, 100], [66, 101], [66, 102], [66, 103], [66, 104], [66, 
105], [66, 106], [66, 108], [66, 109], [66, 110], [66, 111], [66, 112], [66, 
113], [67, 68], [67, 69], [67, 70], [67, 71], [67, 72], [67, 82], [67, 83], 
[67, 86], [67, 88], [67, 90], [67, 92], [67, 93], [67, 95], [67, 96], [67, 97], 
[67, 98], [67, 99], [67, 100], [67, 101], [67, 102], [67, 103], [67, 104], [67, 
105], [67, 106], [67, 108], [67, 109], [67, 110], [67, 111], [67, 112], [67, 
113], [68, 69], [68, 70], [68, 71], [68, 72], [68, 82], [68, 83], [68, 90], 
[68, 92], [68, 93], [68, 95], [68, 96], [68, 108], [68, 109], [68, 110], [68, 
111], [68, 112], [68, 113], [69, 70], [69, 71], [69, 72], [69, 82], [69, 83], 
[69, 88], [69, 90], [69, 92], [69, 93], [69, 95], [69, 96], [69, 97], [69, 98], 
[69, 99], [69, 100], [69, 101], [69, 103], [69, 104], [69, 105], [69, 106], 
[69, 108], [69, 109], [69, 110], [69, 111], [69, 112], [69, 113], [70, 71], 
[70, 72], [70, 82], [70, 83], [70, 86], [70, 88], [70, 90], [70, 92], [70, 93], 
[70, 95], [70, 96], [70, 97], [70, 98], [70, 99], [70, 100], [70, 101], [70, 
103], [70, 104], [70, 105], [70, 106], [70, 108], [70, 109], [70, 110], [70, 
111], [70, 112], [70, 113], [71, 72], [71, 82], [71, 83], [71, 86], [71, 88], 
[71, 90], [71, 92], [71, 93], [71, 95], [71, 96], [71, 98], [71, 99], [71, 
100], [71, 101], [71, 102], [71, 103], [71, 104], [71, 105], [71, 106], [71, 
108], [71, 109], [71, 110], [71, 111], [71, 112], [71, 113], [72, 82], [72, 
83], [72, 90], [72, 92], [72, 93], [72, 95], [72, 96], [73, 74], [73, 75], [73, 
76], [73, 77], [73, 78], [73, 79], [73, 80], [73, 81], [73, 84], [73, 85], [73, 
87], [73, 89], [73, 91], [73, 94], [74, 75], [74, 76], [74, 77], [74, 78], [74, 
79], [74, 80], [74, 81], [74, 87], [74, 89], [74, 91], [74, 94], [75, 76], [75, 
77], [75, 78], [75, 79], [75, 81], [75, 84], [75, 85], [75, 87], [75, 89], [75, 
91], [75, 94], [76, 78], [76, 79], [76, 80], [76, 81], [76, 85], [76, 87], [76, 
89], [76, 91], [76, 94], [77, 78], [77, 79], [77, 80], [77, 81], [77, 87], [77, 
89], [77, 91], [78, 79], [78, 80], [78, 81], [78, 85], [78, 87], [78, 89], [78, 
91], [78, 94], [79, 80], [79, 87], [79, 89], [79, 91], [79, 94], [80, 81], [80, 
89], [80, 91], [80, 94], [81, 84], [81, 85], [81, 87], [81, 89], [81, 91], [81, 
94], [82, 83], [82, 88], [82, 90], [82, 92], [82, 93], [82, 95], [82, 96], [82, 
97], [82, 98], [82, 99], [82, 100], [82, 101], [82, 102], [82, 103], [82, 104], 
[82, 105], [82, 106], [82, 108], [82, 109], [82, 110], [82, 111], [82, 112], 
[82, 113], [83, 88], [83, 90], [83, 92], [83, 93], [83, 95], [83, 96], [83, 
97], [83, 98], [83, 99], [83, 100], [83, 101], [83, 102], [83, 103], [83, 104], 
[83, 105], [83, 106], [83, 108], [83, 109], [83, 110], [83, 111], [83, 112], 
[83, 113], [84, 87], [84, 94], [85, 87], [85, 91], [85, 94], [86, 90], [86, 
95], [86, 97], [86, 101], [86, 104], [86, 105], [87, 89], [87, 91], [87, 94], 
[88, 90], [88, 93], [88, 95], [88, 96], [88, 97], [88, 98], [88, 99], [88, 
101], [88, 103], [88, 104], [88, 105], [88, 106], [88, 108], [88, 109], [88, 
111], [88, 112], [88, 113], [89, 91], [89, 94], [90, 92], [90, 93], [90, 95], 
[90, 96], [90, 97], [90, 98], [90, 99], [90, 100], [90, 101], [90, 102], [90, 
103], [90, 104], [90, 105], [90, 106], [90, 108], [90, 109], [90, 110], [90, 
111], [90, 112], [90, 113], [91, 94], [92, 93], [92, 95], [92, 96], [92, 108], 
[92, 109], [92, 110], [92, 111], [92, 112], [92, 113], [93, 95], [93, 96], [93, 
97], [93, 98], [93, 99], [93, 100], [93, 101], [93, 102], [93, 104], [93, 105], 
[93, 106], [93, 108], [93, 109], [93, 110], [93, 111], [93, 112], [93, 113], 
[95, 96], [95, 97], [95, 98], [95, 99], [95, 100], [95, 101], [95, 102], [95, 
103], [95, 104], [95, 105], [95, 106], [95, 108], [95, 109], [95, 110], [95, 
111], [95, 112], [95, 113], [96, 97], [96, 98], [96, 99], [96, 100], [96, 101], 
[96, 102], [96, 103], [96, 104], [96, 105], [96, 106], [96, 108], [96, 109], 
[96, 110], [96, 111], [96, 112], [96, 113], [97, 98], [97, 99], [97, 101], [97, 
103], [97, 104], [97, 105], [97, 106], [97, 107], [97, 108], [97, 109], [97, 
111], [97, 112], [97, 113], [98, 99], [98, 101], [98, 103], [98, 104], [98, 
105], [98, 106], [98, 107], [98, 108], [98, 109], [98, 111], [98, 112], [98, 
113], [99, 101], [99, 103], [99, 104], [99, 105], [99, 106], [99, 107], [99, 
108], [99, 109], [99, 111], [99, 112], [99, 113], [100, 101], [100, 102], [100, 
103], [100, 104], [100, 105], [100, 106], [100, 107], [100, 108], [100, 109], 
[100, 110], [100, 111], [100, 112], [100, 113], [101, 102], [101, 103], [101, 
104], [101, 105], [101, 106], [101, 107], [101, 108], [101, 109], [101, 110], 
[101, 111], [101, 112], [102, 103], [102, 104], [102, 105], [102, 106], [102, 
107], [102, 108], [102, 109], [102, 110], [102, 111], [102, 112], [102, 113], 
[103, 104], [103, 105], [103, 106], [103, 107], [103, 108], [103, 109], [103, 
110], [103, 111], [103, 112], [103, 113], [104, 105], [104, 106], [104, 107], 
[104, 108], [104, 109], [104, 110], [104, 111], [104, 112], [104, 113], [105, 
106], [105, 107], [105, 108], [105, 110], [105, 111], [105, 112], [105, 113], 
[106, 107], [106, 108], [106, 109], [106, 110], [106, 111], [106, 112], [106, 
113], [107, 108], [107, 109], [107, 110], [107, 111], [107, 112], [107, 113], 
[108, 109], [108, 110], [108, 111], [108, 112], [108, 113], [109, 110], [109, 
111], [109, 112], [109, 113], [110, 111], [110, 112], [110, 113], [111, 112], 
[111, 113], [112, 113]]:
acw3 := [[0, 32, 43], [0, 32, 50], [0, 32, 53], [0, 32, 54], [0, 32, 57], [0, 
32, 60], [0, 32, 62], [0, 32, 63], [0, 32, 64], [0, 32, 66], [0, 32, 68], [0, 
32, 70], [0, 32, 71], [0, 32, 72], [0, 32, 92], [0, 32, 95], [0, 32, 96], [0, 
32, 100], [0, 32, 102], [0, 32, 103], [0, 32, 109], [0, 32, 110], [0, 32, 112], 
[0, 39, 41], [0, 39, 43], [0, 39, 46], [0, 39, 50], [0, 39, 51], [0, 39, 53], 
[0, 39, 54], [0, 39, 55], [0, 39, 57], [0, 39, 60], [0, 39, 61], [0, 39, 62], 
[0, 39, 63], [0, 39, 64], [0, 39, 66], [0, 39, 68], [0, 39, 69], [0, 39, 70], 
[0, 39, 71], [0, 39, 72], [0, 39, 82], [0, 39, 83], [0, 39, 92], [0, 39, 93], 
[0, 39, 95], [0, 39, 96], [0, 39, 100], [0, 39, 102], [0, 39, 103], [0, 39, 
106], [0, 39, 108], [0, 39, 109], [0, 39, 110], [0, 39, 111], [0, 39, 112], [0, 
39, 113], [0, 41, 43], [0, 41, 46], [0, 41, 50], [0, 41, 51], [0, 41, 53], [0, 
41, 54], [0, 41, 55], [0, 41, 57], [0, 41, 60], [0, 41, 61], [0, 41, 62], [0, 
41, 63], [0, 41, 64], [0, 41, 66], [0, 41, 68], [0, 41, 69], [0, 41, 70], [0, 
41, 71], [0, 41, 72], [0, 41, 82], [0, 41, 83], [0, 41, 92], [0, 41, 93], [0, 
41, 95], [0, 41, 96], [0, 41, 100], [0, 41, 102], [0, 41, 103], [0, 41, 106], 
[0, 41, 108], [0, 41, 109], [0, 41, 110], [0, 41, 111], [0, 41, 112], [0, 41, 
113], [0, 43, 46], [0, 43, 50], [0, 43, 51], [0, 43, 53], [0, 43, 54], [0, 43, 
55], [0, 43, 57], [0, 43, 60], [0, 43, 61], [0, 43, 62], [0, 43, 63], [0, 43, 
64], [0, 43, 66], [0, 43, 68], [0, 43, 69], [0, 43, 70], [0, 43, 71], [0, 43, 
72], [0, 43, 82], [0, 43, 83], [0, 43, 92], [0, 43, 93], [0, 43, 95], [0, 43, 
96], [0, 43, 100], [0, 43, 102], [0, 43, 103], [0, 43, 106], [0, 43, 108], [0, 
43, 109], [0, 43, 110], [0, 43, 111], [0, 43, 112], [0, 43, 113], [0, 46, 47], 
[0, 46, 48], [0, 46, 50], [0, 46, 51], [0, 46, 53], [0, 46, 54], [0, 46, 55], 
[0, 46, 57], [0, 46, 59], [0, 46, 60], [0, 46, 61], [0, 46, 62], [0, 46, 63], 
[0, 46, 64], [0, 46, 65], [0, 46, 66], [0, 46, 68], [0, 46, 69], [0, 46, 70], 
[0, 46, 71], [0, 46, 72], [0, 46, 82], [0, 46, 83], [0, 46, 92], [0, 46, 93], 
[0, 46, 95], [0, 46, 96], [0, 46, 100], [0, 46, 102], [0, 46, 103], [0, 46, 
104], [0, 46, 105], [0, 46, 106], [0, 46, 108], [0, 46, 109], [0, 46, 110], [0, 
46, 111], [0, 46, 112], [0, 46, 113], [0, 47, 48], [0, 47, 50], [0, 47, 51], 
[0, 47, 53], [0, 47, 54], [0, 47, 57], [0, 47, 59], [0, 47, 60], [0, 47, 61], 
[0, 47, 62], [0, 47, 63], [0, 47, 64], [0, 47, 65], [0, 47, 66], [0, 47, 68], 
[0, 47, 69], [0, 47, 70], [0, 47, 71], [0, 47, 72], [0, 47, 82], [0, 47, 83], 
[0, 47, 92], [0, 47, 93], [0, 47, 95], [0, 47, 96], [0, 47, 100], [0, 47, 102], 
[0, 47, 103], [0, 47, 104], [0, 47, 105], [0, 47, 106], [0, 47, 108], [0, 47, 
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[106, 111, 112], [106, 111, 113], [106, 112, 113], [107, 108, 109], [107, 108, 
110], [107, 108, 111], [107, 108, 112], [107, 108, 113], [107, 109, 110], [107, 
109, 111], [107, 109, 112], [107, 109, 113], [107, 110, 111], [107, 110, 112], 
[107, 110, 113], [107, 111, 112], [107, 111, 113], [107, 112, 113], [108, 109, 
110], [108, 109, 111], [108, 109, 112], [108, 109, 113], [108, 110, 111], [108, 
110, 112], [108, 110, 113], [108, 111, 112], [108, 111, 113], [108, 112, 113], 
[109, 110, 111], [109, 110, 112], [109, 110, 113], [109, 111, 112], [109, 111, 
113], [109, 112, 113], [110, 111, 112], [110, 111, 113], [110, 112, 113], [111, 
112, 113]]:
mts := [[[0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 
1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 
1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 
1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 
1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 
0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 
1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 
0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 
1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 
1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0]]]:
grimm_mts := [[[0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 
0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 
0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 
2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 
1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 
2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 
2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 
2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 
0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 
1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 
1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 
1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 
2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 
1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 
1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 
0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 
0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 
0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 
2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 
0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 
2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 
1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 
0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 
0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 
2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 
2, 1, 0], [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 
2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0]]]: