=>

[1,0]=>[1]=>1 [1,0,1,0]=>[1,1]=>1 [1,1,0,0]=>[2]=>2 [1,0,1,0,1,0]=>[1,1,1]=>1 [1,0,1,1,0,0]=>[1,2]=>1 [1,1,0,0,1,0]=>[2,1]=>1 [1,1,0,1,0,0]=>[2,1]=>1 [1,1,1,0,0,0]=>[3]=>3 [1,0,1,0,1,0,1,0]=>[1,1,1,1]=>1 [1,0,1,0,1,1,0,0]=>[1,1,2]=>1 [1,0,1,1,0,0,1,0]=>[1,2,1]=>1 [1,0,1,1,0,1,0,0]=>[1,2,1]=>1 [1,0,1,1,1,0,0,0]=>[1,3]=>1 [1,1,0,0,1,0,1,0]=>[2,1,1]=>1 [1,1,0,0,1,1,0,0]=>[2,2]=>2 [1,1,0,1,0,0,1,0]=>[2,1,1]=>1 [1,1,0,1,0,1,0,0]=>[2,1,1]=>1 [1,1,0,1,1,0,0,0]=>[2,2]=>2 [1,1,1,0,0,0,1,0]=>[3,1]=>1 [1,1,1,0,0,1,0,0]=>[3,1]=>1 [1,1,1,0,1,0,0,0]=>[3,1]=>1 [1,1,1,1,0,0,0,0]=>[4]=>4 [1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,0]=>[1,1,1,2]=>1 [1,0,1,0,1,1,0,0,1,0]=>[1,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,0]=>[1,1,2,1]=>1 [1,0,1,0,1,1,1,0,0,0]=>[1,1,3]=>1 [1,0,1,1,0,0,1,0,1,0]=>[1,2,1,1]=>1 [1,0,1,1,0,0,1,1,0,0]=>[1,2,2]=>1 [1,0,1,1,0,1,0,0,1,0]=>[1,2,1,1]=>1 [1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,0]=>[1,2,2]=>1 [1,0,1,1,1,0,0,0,1,0]=>[1,3,1]=>1 [1,0,1,1,1,0,0,1,0,0]=>[1,3,1]=>1 [1,0,1,1,1,0,1,0,0,0]=>[1,3,1]=>1 [1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [1,1,0,0,1,0,1,0,1,0]=>[2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,0]=>[2,1,2]=>1 [1,1,0,0,1,1,0,0,1,0]=>[2,2,1]=>1 [1,1,0,0,1,1,0,1,0,0]=>[2,2,1]=>1 [1,1,0,0,1,1,1,0,0,0]=>[2,3]=>2 [1,1,0,1,0,0,1,0,1,0]=>[2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,0]=>[2,1,2]=>1 [1,1,0,1,0,1,0,0,1,0]=>[2,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0]=>[2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,0]=>[2,1,2]=>1 [1,1,0,1,1,0,0,0,1,0]=>[2,2,1]=>1 [1,1,0,1,1,0,0,1,0,0]=>[2,2,1]=>1 [1,1,0,1,1,0,1,0,0,0]=>[2,2,1]=>1 [1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [1,1,1,0,0,0,1,0,1,0]=>[3,1,1]=>1 [1,1,1,0,0,0,1,1,0,0]=>[3,2]=>2 [1,1,1,0,0,1,0,0,1,0]=>[3,1,1]=>1 [1,1,1,0,0,1,0,1,0,0]=>[3,1,1]=>1 [1,1,1,0,0,1,1,0,0,0]=>[3,2]=>2 [1,1,1,0,1,0,0,0,1,0]=>[3,1,1]=>1 [1,1,1,0,1,0,0,1,0,0]=>[3,1,1]=>1 [1,1,1,0,1,0,1,0,0,0]=>[3,1,1]=>1 [1,1,1,0,1,1,0,0,0,0]=>[3,2]=>2 [1,1,1,1,0,0,0,0,1,0]=>[4,1]=>1 [1,1,1,1,0,0,0,1,0,0]=>[4,1]=>1 [1,1,1,1,0,0,1,0,0,0]=>[4,1]=>1 [1,1,1,1,0,1,0,0,0,0]=>[4,1]=>1 [1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,2]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,2,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,3]=>1 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,2,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,2,2]=>1 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,2,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,2,2]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,3,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,3,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,3,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,1,2]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3]=>1 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,1,2]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,1,2]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,1]=>1 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,2]=>1 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,2,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,2,1]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2]=>2 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2]=>2 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,2]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,2,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,2,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,3]=>1 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,2]=>1 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,2,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,2,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2]=>2 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1]=>1 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,2]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>1 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>2 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>2 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,2]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,3]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,2,2]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,3,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,3,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,3,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,2]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,2,2,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,2,2,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,2,3]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,2]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,2]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,2,2,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,2,2,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,2,2,1]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,3,2]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,2,2]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,1]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,2]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,2,1]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,2]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,1]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,3]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,2,2]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,2,1,1]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>1 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>1 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>1 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>1 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>3 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>3 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>2 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,2]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,3]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,2,2]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,2,2]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,2,1,2]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,2,3]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,2,1,2]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,2]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,3,2]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,2,2,2]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,1,2]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,1,2]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,2,2,2]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,4,2]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,2,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,1,2,2]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,1,3,1]=>1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>1 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>1 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>1 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>1 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,2,2,1]=>1 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>1 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>1 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>1 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>1 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>1 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,3]=>2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>2 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>1 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>1 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>1 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>1 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,1,1]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,7,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,2,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,7,1]=>1 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,6,2]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[5,3,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,7,1]=>1 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,3]=>1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[6,2,1]=>1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[5,2,1,1]=>1 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,4,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,7,1]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,6,2]=>1 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,5,2,1]=>1 [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,4]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,1]=>1 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[4,3,1,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,5,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,7,1]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,5,2,1]=>1 [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,5,1,2]=>1 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,4,3,1]=>1 [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,5]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[6,2,1]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[4,2,2,1]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,6,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>2 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,6,2]=>1 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,4,2,2]=>1 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,4,1]=>1 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,6]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[4,3,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[5,2,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1,1]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,7,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1,1]=>1 [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,4,3,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,5,1,2]=>1 [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,5,2,1]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,4,2,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,1,3]=>1 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,6,1]=>1 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,5,1]=>1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[2,4,2,1]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,6,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[6,1,2]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,2,2]=>2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,4,2,2]=>1 [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,3,3,1,1]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,6,1]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,5,2]=>2 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,6,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>[6,1,1,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[3,4,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>[5,3,1]=>1 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,1,2,1]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,5,2,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[6,1,2]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,1,2]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[4,3,2]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,4,2,1,1]=>1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,5,1,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,4,2,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,5,3]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,1,2]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,5,1,1]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,4,1,1]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,6,1]=>1 [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,1,4]=>1 [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,4,3]=>2 [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,5,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,3]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,1,2,2]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,1,2,2]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,4]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,1,2,1,2]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,1,2,3]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,1,2,1,2]=>1 [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,1,2,3]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,1,4,1]=>1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,1,4,1]=>1 [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,4,1]=>1 [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,1,5]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,1,2]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,1,2,1,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,1,2,1,2,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,1,2,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,1,2,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,1,2,2,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,1,2,4]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,1,3]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,1,2]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,1,2,2,1,1]=>1 [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,1,2,2,1,1]=>1 [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,1,2,4]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,1,4,2]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,1,4,1,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,1,4,2]=>1 [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,4,1,1]=>1 [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1,4,1,1]=>1 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,1,5,1]=>1 [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,1,5,1]=>1 [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,5,1]=>1 [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,5,1]=>1 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,1,2]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,2,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,2,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,1,2,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,1,3,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,2,1,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,2,1,2]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2,3]=>2 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,2,3,1,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,2,3,1,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,3,2]=>2 [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,5]=>2 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,1,2]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,2,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,2,1,1]=>1 [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,1,4]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,1,2]=>1 [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,1,3]=>1 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,1,3,1]=>1 [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,1,4]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,2,2,1,2]=>1 [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1,1]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,2,3,1,1]=>1 [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,5]=>2 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[2,3,1,2,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[2,3,2,1,1]=>1 [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[2,3,3,1]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,2,1]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,1,3]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[2,4,3]=>2 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[2,4,3]=>2 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[2,4,1,2]=>1 [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,4,2,1]=>1 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,4,3]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,5,2]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,5,2]=>2 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[2,5,2]=>2 [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,5,2]=>2 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,5,2]=>2 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,6,1]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,6,1]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,6,1]=>1 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,6,1]=>1 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,6,1]=>1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,1,3,2]=>1 [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,1,4,1]=>1 [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,1,2]=>1 [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,2,1,3]=>1 [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,2,4]=>2 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,4,1,1]=>1 [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,4,1,1]=>1 [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2]=>2 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,5,1]=>1 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,5,1]=>1 [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,5,1]=>1 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,1,4]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,1,4,1]=>1 [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,1,4]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,1,2,2]=>1 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,1,3,1]=>1 [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,1,3,1]=>1 [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,1,4]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,1,2,2,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,1,3,1,1]=>1 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,1,4,1]=>1 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,1,4,1]=>1 [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[3,2,1,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,2,1,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,1,2]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,1,2]=>1 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[3,2,2,1,1]=>1 [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,2,1,1]=>1 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[3,2,3,1]=>1 [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,4]=>2 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[3,3,1,2]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[3,3,2,1]=>1 [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[3,3,1,2]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,3,1,2]=>1 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[3,3,2,1]=>1 [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[3,3,2,1]=>1 [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[3,3,3]=>3 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[3,4,2]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[3,4,1,1]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[3,4,2]=>2 [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,4,2]=>2 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[3,4,1,1]=>1 [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,4,1,1]=>1 [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2]=>2 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,5,1]=>1 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,1,3,1]=>1 [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[4,2,2,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,2,3]=>2 [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,2,3]=>2 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[4,4,1]=>1 [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,5]=>4 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,2,2]=>1 [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,2,2]=>1 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,1,2,2]=>1 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,3,1]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5]=>4 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,3,1]=>1 [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,1,2,2]=>1 [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,1,3,1]=>1 [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,1,3,1]=>1 [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[4,2,1,2]=>1 [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[4,2,1,2]=>1 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[4,2,2,1]=>1 [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[4,2,3]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,1,1]=>1 [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[4,3,2]=>2 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[4,4,1]=>1 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4]=>4 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,2,2]=>2 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,4]=>4 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,2,2]=>2 [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,2,2]=>2 [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[5,2,2]=>2 [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[5,2,2]=>2 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[5,3,1]=>1 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>4 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[6,3]=>3 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[6,3]=>3 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,3]=>3 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[6,3]=>3 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>3 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>2 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,2]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,3]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,4,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,4,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,3,2]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,4,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,3,2,1,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,4,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,3,1,2]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>1 [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,3,2,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,1,2,1,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,5,1,1]=>1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,3,2,1,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,1,2]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,5,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,3,1,1]=>1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,1,2,1,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,5,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,1,2]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,5,1]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,5,1,1]=>1 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>1 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,3,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,6,1,1]=>1 [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,3,3,1]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,6,1]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,5,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,2,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,2,2]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,2,1,2]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,2,3]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,3,2]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,2,1,2,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,2,2,1,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2,2]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,2,4]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,3,2,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,3,3]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,5,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,1,2]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,2,1,1,2,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,1,3]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,2,2,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,2,2,2,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,2,4,1]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,2,5]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,4,1,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,4,3]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,5,1,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,5,2]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,6,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,1,2]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,1,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,2,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,1,5]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,2,1,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,2,2,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,3,1,1,1]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,5,1]=>1 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,6]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,2,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,1,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,1,3]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,4,2,1,1]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,4]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,5,1,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,5,3]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,6,1,1]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,6,2]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,1,3]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,1,3,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,1,4]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,1,2,3]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,1,4,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,1,5]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,5,1]=>1 [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,6]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,2,2,1,2]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,2,3]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,2,3,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,2,3,2]=>2 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,5]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,3,3,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,4,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,4,3]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,5,1,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,5,2]=>2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,6,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[3,1,2,1,2]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,2,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,2]=>2 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,5,1]=>1 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,6]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,3,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,2,2,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,2,3]=>2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,3,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,3,2]=>2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,4,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>4 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,1,1,2]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,1,2,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,1,3]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,3,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>4 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[6,1,2]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,2,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1,1]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,6]=>1 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,1,3]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,1,1,3]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,1,4]=>1 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,4,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,4,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,4,1,1,1]=>1 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,5]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[3,4,2]=>2 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>3 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[4,2,3]=>2 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,4,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,2,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,3,1]=>1 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,5,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,2,1,2,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[6,1,2]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,6,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,1,3]=>1 [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,5,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,2,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,2,1,2]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,1,2,2]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2,2]=>1 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[2,3,1,2,1]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,2,3,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,2,2,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,1,3,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,3,1,2]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,1,2,2]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,2,5]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,2,4]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,2,3]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,2,2]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,2,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,1,2]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,1,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[4,2,1,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,1,2,1]=>1 [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,1,2]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,1,2]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,1,1,2,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,2,2,1,1,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,4,1,1,2]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,4,1,2]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,4,2]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,1,3,1]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,1,1,2]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,5,2]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,2,4,2]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,5,1,1]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,4,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,2,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2,2]=>2 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,5,1]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,5,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,1,2,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,2,1,3]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,1,2]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,1,1,2,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,1,3]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,1,4]=>1 [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,1,5]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,1,4]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,2,4,1]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,2,4,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,1,3,1]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,1,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,2,2,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,2,2,1,1,1]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,1,3,1]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[4,2,1,2]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[4,2,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[2,3,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,5,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,1,4,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,1,1,3,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,2,2,2,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,2,2,1,1,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,1,2,2]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,4]=>2 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,5,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,2,3,1]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,2,4,1]=>1 [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,1,5]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,1,2,3]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,1,3,2]=>1 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,1,4,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,2,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,2,2,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,1,3]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,4,1,1]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,3,1,1]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,1,2,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,3,2]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,4,3]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,4,2]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,2,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,4,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,2,3,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,1,2,1,1]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,5,3]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>[5,3,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,3,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,2,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1,1]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,1,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,2,3]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,2]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,2]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,6,2]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,1,3]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,4,1]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,4,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,1,1,2]=>1 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2,2]=>2 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,2,1,1]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2,2]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[3,2,2,2]=>2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[2,3,2,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,4,1,1]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,4,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,1,2,3]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,2,3,1]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,5,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,4,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,1,5]=>1 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,5,1]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>[6,2,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,3,1,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,4,1,1]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>3 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,2,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,3,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,1,1,2,1]=>1 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,5,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,4,3]=>2 [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,4]=>2 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[2,3,3,1]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,3,2,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,2,3,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,3,2,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,2,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,2,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,3,2,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,3,2,2,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,2,2,2,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,2,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,2,2,2,1]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,4,1]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,4,1,1]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,1,3]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1,1]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,2,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,1,1,1]=>1 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,1,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,1,3,1]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,1,2,1]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,2,2,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,1,2,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,2,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,2,2,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,3,2,1]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,2,2,2,1]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,3,1,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,2,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,1,2,1,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,1,2,2]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2,2]=>1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,2,2,2]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,3,1,2]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,1,2,2]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,5,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,1,1,2]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,4]=>2 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,2,1,2]=>1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,2,4,2]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,3,3,2]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,5,1,2]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,5,1,1]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,5,1,1]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1,1]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,4,1,2]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,3,3,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,1,3,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,1,3,2]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,3,2,2]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,3,1,2]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,1,4]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,1,1,1]=>1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,1,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,2,2,2]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,3,1,2]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,4,1,2]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,2,1,2,2]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,3,1,1,2]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,4,1,2]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,3,1,1,1,1]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,1,2,1,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,2,1,2,1,1]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,1,2,1]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,3,1,1,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,2,1,3]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,4,1,2]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,3]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,1,4]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,1,3]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,5,1,2]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,4,1,3]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,1,4]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,1,1,3,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,1,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,1,3,1,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,1,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,1,4,1]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,4,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,4,1,1,1]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,1,1,1,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,2,1,1]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,2,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,1,1,2,2]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,1,2,2]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,1,2,2]=>1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,1,2,1]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,4,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,1,4]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[4,2,2,1]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,2,1]=>1 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,1,2,1]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,1,2,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,1,1,2]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,5,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,1]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,3,1]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,3,1]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,1,4,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,1,3,1]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,1,1,2,1]=>1 [1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,4,1,2,1]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1,2,1,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,1,3]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,1,1,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,2,1,2]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,2,1,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,2,2,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,2,2,1]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,2,1,1,2,1]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,2,4,1,1]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,1,1]=>1 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[2,4,3]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,2,2,2]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2,2]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2,2]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,3,2,2]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,2,3,2]=>2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,2,3,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,2,3,1,2]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,1,3,2]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,2,3,1,1]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,2,3,1]=>1 [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,2,2]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[3,2,2,2]=>2 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,1,2]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,1,2]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,1,1,1,1]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,2,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,4,2,1]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,2]=>1 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[3,3,1,2]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,2,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,3,1,2]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,1,4]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,1,2,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,1,2,2]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,1,1]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,1,3,2]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,3,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,2,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,2,1,2,1]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,1,2,2,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,2,3,1,2]=>1 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,2,2,3,1]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,2,2,2,1,1]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,2,2,1,3]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,1,3,1,1]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,3,1,2,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,3,2,1]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,3,2,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,1,2,1]=>1 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,2,1,1,2,1]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1,1]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,1,2]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,1,3]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,3,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,2,1]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,2,1,2,1,1]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,1,2]=>1 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,1,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[4,2,1,1,1]=>1 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,3,1,1,1]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,2,1,1,1]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,1,1,1]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,1,1]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,1,1,2]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,4,1,1,1]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[3,3,1,1,1]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,2,1,1]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,1,2,2]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,1,1,2,2]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,1,2,2]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,1,2,2]=>1 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,1,2,1]=>1 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,1,2,1]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,3,1,1]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,4,1,1,1]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,5,1,1,1]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,1,1]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,1,3,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,1,2]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,1,2,2,1]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,3,2,1,1]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1,1]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,1]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2,1,2]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,1,2,2]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[2,5,1,1]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,2,1]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,3,3,1,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,2,4,1,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,2,1]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,1,3,1]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,2,3,2,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,1,2]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,1,1,2,2]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[4,2,1,2]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,1,2]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,2,1]=>1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,1,3,1,1]=>1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,5,1,1]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,4,2,1]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1,1]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,1,3,2,1]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,1,2,3]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,2,3,2]=>2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[2,4,1,2]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,2,3,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,1,3]=>1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,3,1]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,5,1,1]=>1 [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,1,4]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,1,3,1,1]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2,2]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,2,1,2,1]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,1,2,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,1,1]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,2,3,1]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,4,1,1,1]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[2,4,1,1,1]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,1,2,1]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2,2]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,2]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,1,2,1,1]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,3,2,1,1,1]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,2,1,2,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,1,3,1]=>1 [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,1,4,1]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[2,3,3,1]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,2,3]=>2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[2,3,2,1,1]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,2,2]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,2,1]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,1,3,2]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,1,2,1,1]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,1,3,1]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,2,1]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,1,2,2,1]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,3,1,1,1]=>1 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,1,3]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[4,2,1,1,1]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[2,3,2,1,1]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,4,1,2,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,1,2,1,1]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,2,3]=>2 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,2]=>2 [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,5,2]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1,1]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,2,1,1,2,1]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,1,1,3,1]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,1,2]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,1,2,2]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,1,2,2]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1,1]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,1,2,1]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1,1]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,4,2,1,1]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1,1]=>1