1 1 1 0 0 0 
1 0 1 1 0 0 
1 1 0 1 0 0 
1 0 1 0 0 1 
1 1 0 1 0 0 
1 0 0 0 1 1 
1 0 0 1 1 0 
1 0 1 1 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 0 0 2 0 0 
1 0 2 0 0 1 
1 1 1 1 0 0 
1 2 0 1 0 0 
1 0 1 0 0 2 
1 0 2 0 0 1 
1 1 0 1 0 1 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 0 2 1 
1 0 0 1 2 0 
1 0 1 0 1 1 
1 0 1 1 1 0 
1 0 2 0 0 1 
1 1 0 0 1 1 
1 1 0 1 1 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 0 1 2 
1 0 0 1 1 1 
1 0 0 2 1 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 1 0 1 2 
1 0 1 1 1 1 
1 0 1 2 1 0 
1 0 2 0 0 2 
1 0 2 0 1 1 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 0 0 1 
1 0 3 1 0 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 0 1 0 0 3 
1 0 1 1 0 2 
1 0 1 2 0 1 
1 0 1 3 0 0 
1 0 2 2 0 0 
1 0 3 1 0 0 
1 1 0 1 0 2 
1 1 0 2 0 1 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 1 0 1 
1 1 1 2 0 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 1 0 1 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 1 0 0 0 
1 0 0 0 1 3 
1 0 0 0 2 2 
1 0 0 1 1 2 
1 0 0 1 2 1 
1 0 0 2 1 1 
1 0 0 2 2 0 
1 0 0 3 1 0 
1 0 1 0 0 3 
1 0 1 0 1 2 
1 0 1 0 2 1 
1 0 1 1 0 2 
1 0 1 1 1 1 
1 0 1 1 2 0 
1 0 1 2 0 1 
1 0 1 2 1 0 
1 0 1 3 0 0 
1 0 2 0 1 1 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 1 0 0 
1 1 0 0 0 3 
1 1 0 0 1 2 
1 1 0 0 2 1 
1 1 0 1 0 2 
1 1 0 1 1 1 
1 1 0 1 2 0 
1 1 0 2 0 1 
1 1 0 2 1 0 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 1 0 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 0 0 2 
1 2 0 0 1 1 
1 2 0 1 0 1 
1 2 0 1 1 0 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 0 1 
1 3 1 0 0 0 
1 0 0 0 2 2 
1 0 0 0 3 1 
1 0 0 1 2 1 
1 0 0 1 3 0 
1 0 0 2 2 0 
1 0 1 0 1 2 
1 0 1 0 2 1 
1 0 1 1 1 1 
1 0 1 1 2 0 
1 0 1 2 1 0 
1 0 2 0 0 2 
1 0 2 0 1 1 
1 0 2 0 2 0 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 0 0 1 
1 0 3 0 1 0 
1 0 3 1 0 0 
1 1 0 0 1 2 
1 1 0 0 2 1 
1 1 0 1 1 1 
1 1 0 1 2 0 
1 1 0 2 1 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 0 2 0 
1 1 1 1 0 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 0 1 1 
1 2 0 0 2 0 
1 2 0 1 0 1 
1 2 0 1 1 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 1 0 
1 3 1 0 0 0 
1 0 0 0 2 3 
1 0 0 0 3 2 
1 0 0 1 2 2 
1 0 0 1 3 1 
1 0 0 2 2 1 
1 0 1 0 1 3 
1 0 1 0 2 2 
1 0 1 1 1 2 
1 0 1 1 2 1 
1 0 1 2 1 1 
1 0 1 2 2 0 
1 0 2 0 1 2 
1 0 2 1 1 1 
1 0 2 1 2 0 
1 0 2 2 1 0 
1 0 3 1 1 0 
1 1 0 0 1 3 
1 1 0 0 2 2 
1 1 0 1 1 2 
1 1 0 1 2 1 
1 1 0 2 1 1 
1 1 0 3 1 0 
1 1 1 0 1 2 
1 1 1 0 2 1 
1 1 1 1 1 1 
1 1 1 1 2 0 
1 1 1 2 1 0 
1 1 2 0 1 1 
1 1 2 0 2 0 
1 1 2 1 1 0 
1 1 3 0 1 0 
1 2 0 0 1 2 
1 2 0 0 2 1 
1 2 0 1 1 1 
1 2 0 2 1 0 
1 2 1 0 1 1 
1 2 1 0 2 0 
1 2 1 1 1 0 
1 2 2 0 1 0 
1 3 0 0 1 1 
1 3 1 0 1 0 
1 1 0 1 0 0 
1 0 1 0 0 1 
1 0 0 0 1 1 
1 0 0 1 1 0 
1 0 1 0 0 1 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 1 0 1 0 0 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 1 0 1 0 0 
1 1 0 1 0 0 
1 0 0 2 0 0 
1 0 0 0 1 1 
1 0 0 1 1 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 0 1 1 0 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 1 0 1 0 0 
1 0 1 0 0 1 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 0 0 2 0 0 
1 1 0 1 0 0 
1 0 1 0 0 1 
1 1 0 1 0 0 
1 0 1 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 3 0 0 0 0 
1 0 1 2 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 2 0 0 0 1 
1 3 0 0 0 0 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 1 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 0 1 2 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 1 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 1 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 1 1 0 1 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 3 0 0 0 
1 0 1 2 0 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 0 0 0 0 3 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 0 2 0 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 1 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 0 2 0 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 2 0 1 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 2 0 0 1 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 1 0 2 0 0 
1 2 0 1 0 0 
1 3 0 0 0 0 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 1 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 2 0 0 1 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 0 1 3 
1 0 0 0 2 2 
1 0 0 1 1 2 
1 0 0 1 2 1 
1 0 0 2 1 1 
1 0 0 2 2 0 
1 0 0 3 1 0 
1 0 1 0 0 3 
1 0 1 0 1 2 
1 0 1 1 0 2 
1 0 1 1 1 1 
1 0 1 2 0 1 
1 0 1 2 1 0 
1 0 1 3 0 0 
1 0 2 0 0 2 
1 0 2 0 1 1 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 0 0 1 
1 0 3 1 0 0 
1 1 0 0 0 3 
1 1 0 0 1 2 
1 1 0 1 0 2 
1 1 0 1 1 1 
1 1 0 2 0 1 
1 1 0 2 1 0 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 1 0 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 0 0 2 
1 2 0 0 1 1 
1 2 0 1 0 1 
1 2 0 1 1 0 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 0 1 
1 3 0 0 1 0 
1 3 1 0 0 0 
1 0 1 1 0 2 
1 0 1 2 0 1 
1 0 1 3 0 0 
1 0 2 1 0 1 
1 0 2 2 0 0 
1 0 0 0 1 3 
1 0 0 0 2 2 
1 0 0 0 3 1 
1 0 0 1 1 2 
1 0 0 1 2 1 
1 0 0 1 3 0 
1 0 0 2 1 1 
1 0 0 2 2 0 
1 0 0 3 1 0 
1 0 1 0 0 3 
1 0 1 0 1 2 
1 0 1 0 2 1 
1 0 1 1 0 2 
1 0 1 1 1 1 
1 0 1 1 2 0 
1 0 1 2 0 1 
1 0 1 2 1 0 
1 0 1 3 0 0 
1 0 2 0 0 2 
1 0 2 0 1 1 
1 0 2 0 2 0 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 0 0 1 
1 0 3 0 1 0 
1 0 3 1 0 0 
1 0 4 0 0 0 
1 1 0 0 0 3 
1 1 0 0 1 2 
1 1 0 0 2 1 
1 1 0 1 0 2 
1 1 0 1 1 1 
1 1 0 1 2 0 
1 1 0 2 0 1 
1 1 0 2 1 0 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 0 2 0 
1 1 1 1 0 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 0 0 2 
1 2 0 0 1 1 
1 2 0 0 2 0 
1 2 0 1 0 1 
1 2 0 1 1 0 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 0 1 
1 3 0 0 1 0 
1 3 0 1 0 0 
1 3 1 0 0 0 
1 4 0 0 0 0 
1 1 0 0 0 3 
1 1 0 1 0 2 
1 1 0 2 0 1 
1 1 0 3 0 0 
1 2 0 0 0 2 
1 2 0 1 0 1 
1 2 0 2 0 0 
1 3 0 0 0 1 
1 0 1 0 0 3 
1 0 1 1 0 2 
1 0 1 2 0 1 
1 0 1 3 0 0 
1 0 2 0 0 2 
1 0 2 1 0 1 
1 1 0 1 0 2 
1 1 0 2 0 1 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 1 0 1 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 1 0 0 
1 2 0 1 0 1 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 0 1 
1 3 0 1 0 0 
1 3 1 0 0 0 
1 4 0 0 0 0 
1 0 0 0 1 3 
1 0 0 0 2 2 
1 0 0 1 1 2 
1 0 0 1 2 1 
1 0 0 2 1 1 
1 0 0 2 2 0 
1 0 0 3 1 0 
1 0 1 0 0 3 
1 0 1 0 1 2 
1 0 1 1 0 2 
1 0 1 1 1 1 
1 0 1 2 0 1 
1 0 1 2 1 0 
1 0 1 3 0 0 
1 0 2 0 0 2 
1 0 2 0 1 1 
1 0 2 1 0 1 
1 0 2 1 1 0 
1 0 2 2 0 0 
1 0 3 0 0 1 
1 0 3 1 0 0 
1 1 0 0 0 3 
1 1 0 0 1 2 
1 1 0 1 0 2 
1 1 0 1 1 1 
1 1 0 2 0 1 
1 1 0 2 1 0 
1 1 0 3 0 0 
1 1 1 0 0 2 
1 1 1 0 1 1 
1 1 1 1 0 1 
1 1 1 1 1 0 
1 1 1 2 0 0 
1 1 2 0 0 1 
1 1 2 0 1 0 
1 1 2 1 0 0 
1 1 3 0 0 0 
1 2 0 0 0 2 
1 2 0 0 1 1 
1 2 0 1 0 1 
1 2 0 1 1 0 
1 2 0 2 0 0 
1 2 1 0 0 1 
1 2 1 0 1 0 
1 2 1 1 0 0 
1 2 2 0 0 0 
1 3 0 0 0 1 
1 3 1 0 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 0 1 1 0 
1 0 0 2 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 2 0 0 0 0 
1 0 0 2 0 0 
1 0 1 1 0 0 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 0 2 0 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 2 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 0 2 0 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 1 0 0 1 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 0 1 0 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 0 1 1 
1 1 0 1 0 1 
1 1 0 1 1 0 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 0 1 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 0 1 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 1 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 1 0 0 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 0 0 0 0 3 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 1 0 0 
1 0 3 0 0 0 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 3 
1 0 0 0 1 2 
1 0 0 0 2 1 
1 0 0 1 0 2 
1 0 0 1 1 1 
1 0 0 1 2 0 
1 0 0 2 0 1 
1 0 0 2 1 0 
1 0 0 3 0 0 
1 0 1 0 0 2 
1 0 1 0 1 1 
1 0 1 1 0 1 
1 0 1 1 1 0 
1 0 1 2 0 0 
1 0 2 0 0 1 
1 0 2 1 0 0 
1 0 0 0 0 3 
1 0 0 1 0 2 
1 0 0 2 0 1 
1 0 1 0 0 2 
1 0 1 1 0 1 
1 0 2 0 0 1 
1 1 0 0 0 2 
1 1 0 1 0 1 
1 1 0 2 0 0 
1 1 1 0 0 1 
1 1 1 1 0 0 
1 1 2 0 0 0 
1 2 0 0 0 1 
1 2 0 1 0 0 
1 2 1 0 0 0 
1 3 0 0 0 0 
1 0 0 0 0 2 
1 0 0 0 1 1 
1 0 0 1 0 1 
1 0 0 1 1 0 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 0 0 0 0 2 
1 0 0 1 0 1 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 0 2 0 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 2 
1 0 0 0 1 1 
1 0 0 1 0 1 
1 0 0 1 1 0 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 0 1 0 
1 0 1 1 0 0 
1 0 2 0 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
1 0 0 0 0 2 
1 0 0 0 1 1 
1 0 0 1 0 1 
1 0 0 1 1 0 
1 0 0 2 0 0 
1 0 1 0 0 1 
1 0 1 1 0 0 
1 0 2 0 0 0 
1 1 0 0 0 1 
1 1 0 1 0 0 
1 1 1 0 0 0 
1 2 0 0 0 0 
0 0 1 0 0 1 
0 0 1 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 0 2 0 0 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 1 0 1 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 2 0 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 1 0 
0 0 2 0 1 0 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 1 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 1 0 0 0 2 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 1 0 0 0 
0 0 1 0 0 2 
0 0 1 1 0 1 
0 0 2 0 0 1 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 1 0 
0 2 1 0 0 0 
0 0 0 0 1 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 1 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 2 0 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 1 0 
0 0 2 0 1 0 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 1 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 1 0 2 0 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 0 3 1 0 
0 0 1 0 3 0 
0 0 1 1 2 0 
0 0 1 2 1 0 
0 0 2 0 2 0 
0 0 2 1 1 0 
0 0 2 2 0 0 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 1 0 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 2 0 0 0 2 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 1 0 0 0 
0 0 0 0 3 1 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 1 0 2 1 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 1 0 
0 0 2 1 1 0 
0 0 2 2 0 0 
0 1 0 0 2 1 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 1 0 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 2 0 0 1 1 
0 2 0 1 0 1 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 1 0 0 0 
0 0 0 0 2 2 
0 0 0 0 3 1 
0 0 0 0 4 0 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 2 0 
0 0 1 0 1 2 
0 0 1 0 2 1 
0 0 1 0 3 0 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 1 0 
0 0 2 0 1 1 
0 0 2 0 2 0 
0 0 2 1 1 0 
0 0 3 0 1 0 
0 1 0 0 1 2 
0 1 0 0 2 1 
0 1 0 0 3 0 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 1 0 
0 1 1 0 0 2 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 2 0 0 1 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 2 0 0 1 1 
0 2 0 0 2 0 
0 2 0 1 0 1 
0 2 0 1 1 0 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 1 0 
0 3 1 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 0 1 0 0 1 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 0 1 0 0 1 
0 1 0 1 0 0 
0 0 1 0 0 1 
0 0 1 0 0 1 
0 1 0 1 0 0 
0 0 0 1 1 0 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 1 0 1 
0 0 0 0 0 2 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 1 0 0 0 1 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 0 1 0 1 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 2 0 0 0 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 2 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 1 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 1 0 0 1 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 1 0 1 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 2 0 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 1 0 1 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 3 0 0 
0 0 1 2 0 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 2 0 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 1 2 0 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 2 0 0 1 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 1 0 0 1 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 1 1 1 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 2 0 0 1 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 1 0 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 3 0 0 
0 0 1 2 0 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 2 0 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 2 1 0 
0 0 1 2 0 0 
0 1 0 1 1 0 
0 1 1 1 0 0 
0 2 0 0 1 0 
0 2 1 0 0 0 
0 1 0 2 0 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 2 0 0 
0 1 1 1 0 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 1 1 1 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 2 0 0 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 1 0 0 0 2 
0 2 0 0 0 1 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 2 0 0 
0 0 2 0 1 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 1 1 1 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 1 0 1 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 1 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 2 2 
0 0 0 0 3 1 
0 0 0 0 4 0 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 0 3 1 0 
0 0 1 0 1 2 
0 0 1 0 2 1 
0 0 1 0 3 0 
0 0 1 1 0 2 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 0 1 
0 0 1 2 1 0 
0 0 1 3 0 0 
0 0 2 0 0 2 
0 0 2 0 1 1 
0 0 2 0 2 0 
0 0 2 1 0 1 
0 0 2 1 1 0 
0 0 2 2 0 0 
0 0 3 0 0 1 
0 0 3 0 1 0 
0 0 3 1 0 0 
0 0 4 0 0 0 
0 1 0 0 1 2 
0 1 0 0 2 1 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 0 1 
0 1 0 2 1 0 
0 1 1 0 0 2 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 0 1 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 1 3 0 0 0 
0 2 0 0 0 2 
0 2 0 0 1 1 
0 2 0 0 2 0 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 0 0 1 0 
0 3 1 0 0 0 
0 0 0 1 1 2 
0 0 0 2 1 1 
0 0 0 3 1 0 
0 0 1 0 1 2 
0 0 1 1 1 1 
0 0 1 2 1 0 
0 0 2 0 1 1 
0 0 2 1 1 0 
0 0 3 0 1 0 
0 1 0 0 1 2 
0 1 0 1 1 1 
0 1 0 2 1 0 
0 1 0 3 0 0 
0 1 1 0 0 2 
0 1 1 0 1 1 
0 1 1 1 1 0 
0 1 2 0 0 1 
0 1 2 0 1 0 
0 1 3 0 0 0 
0 2 0 0 0 2 
0 2 0 0 1 1 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 0 0 1 0 
0 3 1 0 0 0 
0 4 0 0 0 0 
0 0 0 0 1 3 
0 0 0 0 2 2 
0 0 0 0 3 1 
0 0 0 0 4 0 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 0 3 1 0 
0 0 1 0 0 3 
0 0 1 0 1 2 
0 0 1 0 2 1 
0 0 1 0 3 0 
0 0 1 1 0 2 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 0 1 
0 0 1 2 1 0 
0 0 1 3 0 0 
0 0 2 0 0 2 
0 0 2 0 1 1 
0 0 2 0 2 0 
0 0 2 1 0 1 
0 0 2 1 1 0 
0 0 2 2 0 0 
0 0 3 0 0 1 
0 0 3 0 1 0 
0 0 3 1 0 0 
0 0 4 0 0 0 
0 1 0 0 0 3 
0 1 0 0 1 2 
0 1 0 0 2 1 
0 1 0 0 3 0 
0 1 0 1 0 2 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 0 1 
0 1 0 2 1 0 
0 1 0 3 0 0 
0 1 1 0 0 2 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 0 1 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 1 3 0 0 0 
0 2 0 0 0 2 
0 2 0 0 1 1 
0 2 0 0 2 0 
0 2 0 1 0 1 
0 2 0 1 1 0 
0 2 0 2 0 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 0 0 1 0 
0 3 0 1 0 0 
0 3 1 0 0 0 
0 4 0 0 0 0 
0 0 0 0 1 3 
0 0 0 0 2 2 
0 0 0 0 3 1 
0 0 0 0 4 0 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 1 0 1 2 
0 0 1 0 2 1 
0 0 1 0 3 0 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 1 0 
0 0 2 0 1 1 
0 0 2 0 2 0 
0 0 2 1 1 0 
0 0 3 0 1 0 
0 1 0 0 1 2 
0 1 0 0 2 1 
0 1 0 0 3 0 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 1 0 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 2 0 0 1 1 
0 2 0 0 2 0 
0 2 0 1 0 1 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 0 0 1 0 
0 3 1 0 0 0 
0 0 0 0 1 3 
0 0 0 0 2 2 
0 0 0 1 1 2 
0 0 0 1 2 1 
0 0 0 1 3 0 
0 0 0 2 1 1 
0 0 0 2 2 0 
0 0 0 3 1 0 
0 0 1 0 0 3 
0 0 1 0 1 2 
0 0 1 0 2 1 
0 0 1 0 3 0 
0 0 1 1 0 2 
0 0 1 1 1 1 
0 0 1 1 2 0 
0 0 1 2 0 1 
0 0 1 2 1 0 
0 0 1 3 0 0 
0 0 2 0 0 2 
0 0 2 0 1 1 
0 0 2 0 2 0 
0 0 2 1 0 1 
0 0 2 1 1 0 
0 0 2 2 0 0 
0 0 3 0 1 0 
0 0 3 1 0 0 
0 1 0 0 0 3 
0 1 0 0 1 2 
0 1 0 0 2 1 
0 1 0 1 0 2 
0 1 0 1 1 1 
0 1 0 1 2 0 
0 1 0 2 0 1 
0 1 0 2 1 0 
0 1 1 0 0 2 
0 1 1 0 1 1 
0 1 1 0 2 0 
0 1 1 1 0 1 
0 1 1 1 1 0 
0 1 1 2 0 0 
0 1 2 0 0 1 
0 1 2 0 1 0 
0 1 2 1 0 0 
0 1 3 0 0 0 
0 2 0 0 0 2 
0 2 0 0 1 1 
0 2 0 0 2 0 
0 2 0 1 0 1 
0 2 0 1 1 0 
0 2 1 0 0 1 
0 2 1 0 1 0 
0 2 1 1 0 0 
0 2 2 0 0 0 
0 3 0 0 0 1 
0 3 0 0 1 0 
0 3 1 0 0 0 
0 0 0 0 0 2 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 2 0 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 2 0 0 
0 0 0 0 0 2 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 1 0 0 0 1 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 2 0 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 2 0 0 
0 0 1 1 0 0 
0 1 0 1 0 0 
0 0 0 0 0 2 
0 0 0 1 0 1 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 2 0 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 0 0 0 0 2 
0 0 0 1 1 0 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 1 0 
0 1 1 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 1 0 2 
0 0 0 2 0 1 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 1 0 1 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 1 0 1 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 1 2 
0 0 0 0 2 1 
0 0 0 0 3 0 
0 0 0 1 0 2 
0 0 0 1 1 1 
0 0 0 1 2 0 
0 0 0 2 0 1 
0 0 0 2 1 0 
0 0 0 3 0 0 
0 0 1 0 0 2 
0 0 1 0 1 1 
0 0 1 0 2 0 
0 0 1 1 0 1 
0 0 1 1 1 0 
0 0 1 2 0 0 
0 0 2 0 0 1 
0 0 2 0 1 0 
0 0 2 1 0 0 
0 0 3 0 0 0 
0 1 0 0 0 2 
0 1 0 0 1 1 
0 1 0 0 2 0 
0 1 0 1 0 1 
0 1 0 1 1 0 
0 1 0 2 0 0 
0 1 1 0 0 1 
0 1 1 0 1 0 
0 1 1 1 0 0 
0 1 2 0 0 0 
0 2 0 0 0 1 
0 2 0 0 1 0 
0 2 0 1 0 0 
0 2 1 0 0 0 
0 3 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
0 0 0 0 0 2 
0 0 0 0 1 1 
0 0 0 0 2 0 
0 0 0 1 0 1 
0 0 0 1 1 0 
0 0 0 2 0 0 
0 0 1 0 0 1 
0 0 1 0 1 0 
0 0 1 1 0 0 
0 0 2 0 0 0 
0 1 0 0 0 1 
0 1 0 0 1 0 
0 1 0 1 0 0 
0 1 1 0 0 0 
0 2 0 0 0 0 
