Identifier
Images
=>
Cc0005;cc-rep-0
[]=>[]
[1,0]=>[1]
[1,0,1,0]=>[1,2]
[1,1,0,0]=>[2,1]
[1,0,1,0,1,0]=>[1,2,3]
[1,0,1,1,0,0]=>[1,3,2]
[1,1,0,0,1,0]=>[2,1,3]
[1,1,0,1,0,0]=>[2,3,1]
[1,1,1,0,0,0]=>[3,2,1]
[1,0,1,0,1,0,1,0]=>[1,2,3,4]
[1,0,1,0,1,1,0,0]=>[1,2,4,3]
[1,0,1,1,0,0,1,0]=>[1,3,2,4]
[1,0,1,1,0,1,0,0]=>[1,3,4,2]
[1,0,1,1,1,0,0,0]=>[1,4,3,2]
[1,1,0,0,1,0,1,0]=>[2,1,3,4]
[1,1,0,0,1,1,0,0]=>[2,1,4,3]
[1,1,0,1,0,0,1,0]=>[2,3,1,4]
[1,1,0,1,0,1,0,0]=>[2,3,4,1]
[1,1,0,1,1,0,0,0]=>[2,4,3,1]
[1,1,1,0,0,0,1,0]=>[3,2,1,4]
[1,1,1,0,0,1,0,0]=>[3,2,4,1]
[1,1,1,0,1,0,0,0]=>[4,2,3,1]
[1,1,1,1,0,0,0,0]=>[4,3,2,1]
[1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]
[1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]
[1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]
[1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]
[1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]
[1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]
[1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]
[1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]
[1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]
[1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]
[1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]
[1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]
[1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]
[1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]
[1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]
[1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]
[1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]
[1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]
[1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]
[1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]
[1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]
[1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]
[1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]
[1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]
[1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]
[1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]
[1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]
[1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]
[1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]
[1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]
[1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]
[1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]
[1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]
[1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]
[1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]
[1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]
[1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]
[1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]
[1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]
[1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]
[1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]
[1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]
[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]
[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]
[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]
[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]
[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]
[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]
[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]
[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]
[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]
[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]
[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]
[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]
[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]
[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]
[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]
[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]
[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]
[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]
[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]
[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]
[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]
[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]
[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]
[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]
[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]
[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]
[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]
[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]
[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]
[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]
[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]
[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]
[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]
[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]
[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]
[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]
[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]
[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]
[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]
[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]
[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]
[1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]
[1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]
[1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]
[1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]
[1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]
[1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]
[1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]
[1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]
[1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]
[1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]
[1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]
[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]
[1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]
[1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]
[1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]
[1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]
[1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]
[1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]
[1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]
[1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]
[1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]
[1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]
[1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]
[1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]
[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]
[1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]
[1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]
[1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]
[1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]
[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]
[1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]
[1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]
[1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]
[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]
[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]
[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]
[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]
[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]
[1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]
[1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]
[1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]
[1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]
[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]
[1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]
[1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]
[1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]
[1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]
[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]
[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]
[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]
[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]
[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]
[1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]
[1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]
[1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]
[1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]
[1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]
[1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]
[1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]
[1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]
[1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]
[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]
[1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]
[1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]
[1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]
[1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]
[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]
[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]
[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]
[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]
[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]
[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]
[1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]
[1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]
[1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]
[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]
[1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]
[1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]
[1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]
[1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]
[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]
[1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]
[1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,7,5,6,4,8]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,7,5,6,8,4]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,8,6,7,5,4]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,8,6,7,5]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,4,5,7,6,3,8]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,4,5,7,6,8,3]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,6,5,3,8,7]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,5,7,3,8]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,4,7,5,6,3,8]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,5,6,8,3]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,8,5,6,7,3]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,8,5,7,6,3]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,6,5,3,8]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,8,6,7,5,3]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,5,4,6,3,7,8]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,5,4,6,3,8,7]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,5,4,7,6,3,8]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,6,4,5,3,8,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,6,4,5,7,3,8]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,3]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,6,4,5,8,7,3]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,7,4,5,6,3,8]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,7,4,5,6,8,3]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,8,4,5,7,6,3]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,7,4,6,5,3,8]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,7,4,6,5,8,3]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,8,4,6,5,7,3]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,8,4,6,7,5,3]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,8,4,7,6,5,3]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,6,5,4,3,8,7]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,6,5,4,7,3,8]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,7,5,4,6,3,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,7,5,4,6,8,3]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,8,5,4,6,7,3]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,8,5,4,7,6,3]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,7,5,6,4,3,8]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,7,5,6,4,8,3]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,8,5,6,4,7,3]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,8,5,6,7,4,3]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,8,5,7,6,4,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,8,6,5,4,7,3]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,8,6,5,7,4,3]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,8,7,5,6,4,3]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,8,6,7,5]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,5,4,6,8,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,7,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,8,6,7,4]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,2,7,5,6,4,8]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,8,4]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,8,5,6,7,4]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,8,6,5,7,4]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,8,6,7,5,4]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,4,2,6,5,7,8]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,6,5,8]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,8,6,7,5]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,6,2,8]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,8,6,7,2]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,4,6,5,2,7,8]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,4,6,5,2,8,7]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,4,6,5,8,7,2]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,4,7,5,6,2,8]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,7,5,6,8,2]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,8,5,6,7,2]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,8,5,7,6,2]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,4,7,6,5,2,8]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,8,6,5,7,2]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,8,6,7,5,2]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,5,4,2,8,7,6]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,4,6,2,7,8]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,5,4,6,2,8,7]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,4,6,7,2,8]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,4,6,8,7,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,8,6,7,2]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,4,8,7,6,2]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,6,4,5,2,7,8]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,4,5,2,8,7]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,4,5,7,2,8]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,6,4,5,7,8,2]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,7,4,5,6,2,8]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,7,4,5,6,8,2]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,8,4,5,7,6,2]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,7,4,6,5,2,8]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,7,4,6,5,8,2]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,8,4,6,5,7,2]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,8,4,6,7,5,2]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,8,4,7,6,5,2]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,3,6,5,4,2,7,8]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,5,4,2,8,7]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,6,5,4,7,8,2]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,7,5,4,6,2,8]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,7,5,4,6,8,2]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,8,5,4,7,6,2]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,7,5,6,4,2,8]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,7,5,6,4,8,2]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,8,5,6,4,7,2]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,7,6,5,4,8,2]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,8,6,5,4,7,2]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,4,3,2,6,5,7,8]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,2,6,5,8,7]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,4,3,2,8,6,7,5]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,3,5,2,6,8,7]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,4,3,5,6,2,8,7]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,2,8]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,3,5,6,8,7,2]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,3,5,7,6,8,2]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,8,6,7,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,3,6,5,2,8,7]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,4,3,7,5,6,2,8]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,7,5,6,8,2]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,3,7,6,5,2,8]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,3,7,6,5,8,2]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,8,6,5,7,2]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,5,3,4,2,6,7,8]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,5,3,4,2,6,8,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,5,3,4,2,7,6,8]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,3,4,2,8,7,6]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,5,3,4,6,2,7,8]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,3,4,6,2,8,7]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,5,3,4,6,7,2,8]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,3,4,6,7,8,2]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,3,4,6,8,7,2]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,5,3,4,7,6,2,8]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,3,4,7,6,8,2]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,3,4,8,6,7,2]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,3,4,8,7,6,2]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,6,3,4,5,2,7,8]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,6,3,4,5,2,8,7]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,6,3,4,5,7,2,8]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,6,3,4,5,7,8,2]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,6,3,4,5,8,7,2]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,7,3,4,5,6,2,8]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,7,3,4,5,6,8,2]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,8,3,4,5,6,7,2]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,8,3,4,5,7,6,2]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,7,3,4,6,5,2,8]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,7,3,4,6,5,8,2]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,8,3,4,6,5,7,2]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,8,3,4,6,7,5,2]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,8,3,4,7,6,5,2]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,6,3,5,4,2,7,8]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,6,3,5,4,2,8,7]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,6,3,5,4,7,2,8]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,6,3,5,4,7,8,2]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,6,3,5,4,8,7,2]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,7,3,5,4,6,2,8]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,7,3,5,4,6,8,2]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,8,3,5,4,6,7,2]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,8,3,5,4,7,6,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,7,3,5,6,4,2,8]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,7,3,5,6,4,8,2]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,8,3,5,6,4,7,2]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,8,3,5,6,7,4,2]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,8,3,5,7,6,4,2]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,7,3,6,5,4,2,8]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,7,3,6,5,4,8,2]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,8,3,6,5,7,4,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,8,3,7,5,6,4,2]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,5,4,3,6,2,8,7]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,5,4,3,7,6,2,8]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,4,3,7,6,8,2]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,4,3,8,6,7,2]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,6,4,3,5,2,8,7]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,6,4,3,5,7,2,8]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,6,4,3,5,7,8,2]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,6,4,3,5,8,7,2]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,7,4,3,5,6,2,8]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,7,4,3,5,6,8,2]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,7,4,3,6,5,2,8]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,7,4,3,6,5,8,2]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,8,4,3,6,5,7,2]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,8,4,3,6,7,5,2]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,8,4,3,7,6,5,2]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,6,4,5,3,2,7,8]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,6,4,5,3,2,8,7]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,6,4,5,3,7,2,8]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,6,4,5,3,7,8,2]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,6,4,5,3,8,7,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,7,4,5,3,6,2,8]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,7,4,5,3,6,8,2]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,8,4,5,3,6,7,2]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,8,4,5,3,7,6,2]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,7,4,5,6,3,2,8]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,7,4,5,6,3,8,2]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,8,4,5,6,3,7,2]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,8,4,5,7,6,3,2]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,7,4,6,5,3,2,8]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,7,4,6,5,3,8,2]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,8,4,6,5,3,7,2]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,8,4,7,5,6,3,2]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,5,4,3,7,2,8]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,7,5,4,3,6,2,8]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7,5,4,3,6,8,2]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,8,5,4,3,6,7,2]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,8,5,4,3,7,6,2]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,7,5,4,6,3,2,8]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,7,5,4,6,3,8,2]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,8,5,4,6,7,3,2]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,7,6,4,5,3,2,8]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,7,6,4,5,3,8,2]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,8,6,4,5,3,7,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,8,6,5,4,3,7,2]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,8,7,5,4,6,3,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,6,7,5,8]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,4,6,8,7,5]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,7,6,5,8]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,8,6,7,5]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,3,5,4,7,6,8]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,3,5,6,4,7,8]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,6,7,4,8]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,7,4]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,6,4,8]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,8,6,7,4]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,7,6,4]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,6,5,4,7,8]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,5,7,4,8]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,6,5,7,8,4]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,7,5,6,4,8]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,7,5,6,8,4]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,8,5,6,7,4]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,8,5,7,6,4]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,7,6,5,4,8]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,7,6,5,8,4]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,8,6,5,7,4]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,8,6,7,5,4]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,3,5,7,6,8]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,7,6,5,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,8,6,7,5]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,4,5,3,7,6,8]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3,7,8,6]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,4,5,3,8,7,6]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,3,7,8]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,4,5,7,6,3,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,6,8,3]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,4,6,5,7,3,8]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,4,6,5,7,8,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,7,5,6,3,8]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,7,5,6,8,3]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,8,5,6,7,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,3]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,7,6,5,3,8]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,8,6,5,7,3]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,8,6,7,5,3]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,5,4,3,7,8,6]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,5,4,3,8,7,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,5,4,6,3,7,8]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,4,7,6,3,8]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,8,6,7,3]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,4,5,3,7,8]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,6,4,5,3,8,7]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,6,4,5,7,3,8]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,3]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,7,4,5,6,3,8]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,7,4,5,6,8,3]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,8,4,5,6,7,3]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,8,4,5,7,6,3]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,7,4,6,5,3,8]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,7,4,6,5,8,3]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,8,4,6,5,7,3]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,8,4,6,7,5,3]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,8,4,7,6,5,3]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,6,5,4,3,7,8]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,6,5,4,7,3,8]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,7,5,4,6,3,8]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,7,5,4,6,8,3]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,8,5,4,6,7,3]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,7,5,6,4,3,8]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,7,5,6,4,8,3]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,8,5,6,4,7,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,8,5,6,7,4,3]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,8,5,7,6,4,3]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,6,5,4,3,8]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,8,6,5,4,7,3]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,8,6,5,7,4,3]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,7,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,4,6,5,7,8]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,7,5]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,7,6,5,8]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,8,6,7,5]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,3,1,5,4,6,8,7]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,8,6]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,3,1,5,4,8,7,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,6,4,8,7]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,7,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,3,1,5,7,6,4,8]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,8,6,7,4]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,1,5,8,7,6,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,5,7,8,4]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,7,5,6,4,8]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,7,5,6,8,4]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,8,5,6,7,4]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,8,5,7,6,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,7,6,5,4,8]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,8,6,5,7,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,8,6,7,5]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,8,6,7,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,6,5,1,8,7]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,5,6,1,8]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,7,5,6,8,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,8,5,7,6,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,8,6,5,7,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,6,7,5,1]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,5,4,1,7,8,6]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,5,4,6,1,8,7]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,4,6,8,7,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,3,5,4,7,6,1,8]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,8,6,7,1]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,4,5,1,7,8]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,6,4,5,7,1,8]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,1]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,4,5,8,7,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,7,4,5,6,1,8]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,8,4,5,7,6,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,7,4,6,5,1,8]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,7,4,6,5,8,1]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,8,4,6,5,7,1]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,8,4,6,7,5,1]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,8,4,7,6,5,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,6,5,4,7,1,8]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,5,4,8,7,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,7,5,4,6,1,8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,7,5,4,6,8,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,8,5,4,6,7,1]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,8,5,4,7,6,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,5,6,4,1,8]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,5,6,4,8,1]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,8,5,6,4,7,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,8,5,6,7,4,1]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,8,5,7,6,4,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,8,6,5,4,7,1]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,8,6,5,7,4,1]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,8,7,5,6,4,1]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,3,1,5,6,8,7]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,4,3,1,5,7,6,8]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,4,3,1,5,7,8,6]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,3,1,5,8,7,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,3,1,6,5,7,8]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,4,3,1,6,7,5,8]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,4,3,1,7,6,5,8]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,8,6,7,5]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,3,5,1,6,8,7]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,4,3,5,1,7,8,6]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,3,5,6,1,7,8]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,3,5,6,1,8,7]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,4,3,5,7,6,1,8]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,8,6,7,1]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,3,5,8,7,6,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,6,5,1,7,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,4,3,7,5,6,1,8]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,7,5,6,8,1]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,8,5,6,7,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,8,5,7,6,1]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,4,3,7,6,5,1,8]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,4,3,8,6,5,7,1]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,4,3,8,6,7,5,1]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,5,3,4,1,6,8,7]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,5,3,4,1,7,6,8]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,5,3,4,1,7,8,6]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,5,3,4,1,8,7,6]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,5,3,4,6,1,7,8]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,5,3,4,6,1,8,7]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,5,3,4,6,7,8,1]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,5,3,4,6,8,7,1]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,5,3,4,7,6,1,8]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,5,3,4,7,6,8,1]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,5,3,4,8,6,7,1]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,5,3,4,8,7,6,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,6,3,4,5,1,7,8]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,6,3,4,5,1,8,7]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,6,3,4,5,7,1,8]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,1]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,6,3,4,5,8,7,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,7,3,4,5,6,1,8]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,7,3,4,5,6,8,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,8,3,4,5,6,7,1]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,8,3,4,5,7,6,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,7,3,4,6,5,1,8]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,7,3,4,6,5,8,1]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,8,3,4,6,5,7,1]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,8,3,4,6,7,5,1]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,8,3,4,7,6,5,1]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,6,3,5,4,1,7,8]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,6,3,5,4,7,1,8]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,6,3,5,4,7,8,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,1]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,7,3,5,4,6,1,8]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,7,3,5,4,6,8,1]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,8,3,5,4,6,7,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,8,3,5,4,7,6,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,7,3,5,6,4,1,8]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,5,6,4,8,1]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,8,3,5,6,4,7,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,8,3,5,6,7,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,8,3,5,7,6,4,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,7,3,6,5,4,8,1]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,8,3,6,5,4,7,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,8,3,6,5,7,4,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,8,3,7,5,6,4,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,8,3,7,6,5,4,1]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,5,4,3,6,1,7,8]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,5,4,3,7,6,1,8]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,6,4,3,5,1,7,8]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,6,4,3,5,1,8,7]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,6,4,3,5,7,1,8]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,6,4,3,5,7,8,1]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,6,4,3,5,8,7,1]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,7,4,3,5,6,1,8]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,7,4,3,5,6,8,1]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,8,4,3,5,6,7,1]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,8,4,3,5,7,6,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,7,4,3,6,5,1,8]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,7,4,3,6,5,8,1]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,3,6,5,7,1]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,8,4,3,6,7,5,1]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,8,4,3,7,6,5,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,6,4,5,3,1,7,8]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,6,4,5,3,1,8,7]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,6,4,5,3,7,1,8]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,6,4,5,3,7,8,1]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,6,4,5,3,8,7,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,7,4,5,3,6,1,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,7,4,5,3,6,8,1]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,8,4,5,3,6,7,1]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,8,4,5,3,7,6,1]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,7,4,5,6,3,1,8]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,7,4,5,6,3,8,1]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,8,4,5,6,3,7,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,4,5,6,7,3,1]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,8,4,5,7,6,3,1]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,7,4,6,5,3,1,8]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,7,4,6,5,3,8,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,8,4,6,5,3,7,1]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,8,4,6,5,7,3,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,8,4,7,5,6,3,1]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,8,4,7,6,5,3,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,6,5,4,3,1,7,8]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,6,5,4,3,7,1,8]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,7,5,4,3,6,1,8]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,8,5,4,3,6,7,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,8,5,4,3,7,6,1]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,7,5,4,6,3,1,8]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,7,5,4,6,3,8,1]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,8,5,4,6,3,7,1]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,8,5,4,6,7,3,1]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,7,6,4,5,3,1,8]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,7,6,4,5,3,8,1]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,8,6,4,5,3,7,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,8,6,4,5,7,3,1]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,8,7,4,5,6,3,1]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,8,7,4,6,5,3,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,8,6,5,4,3,7,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,8,6,5,4,7,3,1]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,7,6,8]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,2,1,4,6,5,7,8]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,2,1,4,6,5,8,7]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,2,1,4,6,7,5,8]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,5,4,6,8,7]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,1,5,4,7,8,6]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,1,5,4,8,7,6]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,5,6,4,8,7]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,7,5,6,4,8]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,7,5,6,8,4]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,8,5,7,6,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,8,6,5,7,4]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,8,6,7,5]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,5,1,6,8,7]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,5,1,7,6,8]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,5,1,7,8,6]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,6,1,8,7]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,5,7,6,1,8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,8,6,7,1]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,5,8,7,6,1]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,2,4,6,5,1,7,8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,2,4,6,5,1,8,7]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,2,4,6,5,7,1,8]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,2,4,6,5,7,8,1]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,2,4,7,5,6,1,8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,2,4,7,5,6,8,1]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,8,5,6,7,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,2,4,8,5,7,6,1]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,2,4,7,6,5,1,8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,2,4,8,6,5,7,1]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,8,6,7,5,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,5,4,6,1,7,8]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,5,4,6,7,1,8]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,8,6,7,1]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,5,4,8,7,6,1]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,6,4,5,1,7,8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,6,4,5,1,8,7]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,6,4,5,7,1,8]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,6,4,5,7,8,1]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,6,4,5,8,7,1]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,7,4,5,6,1,8]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,7,4,5,6,8,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,8,4,5,6,7,1]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,8,4,5,7,6,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,7,4,6,5,8,1]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,8,4,6,5,7,1]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,8,4,6,7,5,1]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,8,4,7,6,5,1]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,2,6,5,4,1,7,8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,2,6,5,4,7,8,1]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,7,5,4,6,1,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,7,5,4,6,8,1]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,8,5,4,6,7,1]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,8,5,4,7,6,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,7,5,6,4,1,8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,7,5,6,4,8,1]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,8,5,6,4,7,1]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,8,5,6,7,4,1]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,7,6,5,4,8,1]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,8,6,5,4,7,1]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,2,8,6,5,7,4,1]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,8,7,5,6,4,1]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,2,3,1,5,6,8,7]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,2,3,1,5,7,6,8]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,2,3,1,5,7,8,6]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,2,3,1,5,8,7,6]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,3,1,6,5,7,8]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,3,1,6,7,5,8]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,5]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,3,1,6,8,7,5]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,2,3,1,7,6,5,8]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,1,7,6,8,5]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,2,3,5,1,6,8,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,2,3,5,1,7,6,8]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,8,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,2,3,5,6,1,7,8]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,2,3,5,6,1,8,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,7,1,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,1]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,8,7,1]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,2,3,5,7,6,1,8]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[4,2,3,5,7,6,8,1]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[4,2,3,5,8,6,7,1]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,2,3,5,8,7,6,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,3,6,5,1,7,8]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,3,6,5,1,8,7]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,3,6,5,7,1,8]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,3,6,5,7,8,1]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,8,7,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,3,7,5,6,8,1]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,8,5,6,7,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,3,8,5,7,6,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[4,2,3,7,6,5,1,8]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,7,6,5,8,1]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,8,6,5,7,1]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,2,3,8,6,7,5,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,8,7,6,5,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,2,3,4,1,6,8,7]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[5,2,3,4,1,7,6,8]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[5,2,3,4,1,7,8,6]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,2,3,4,1,8,7,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[5,2,3,4,6,1,7,8]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[5,2,3,4,6,1,8,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[5,2,3,4,6,7,1,8]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,2,3,4,6,8,7,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[5,2,3,4,7,6,1,8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[5,2,3,4,7,6,8,1]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,2,3,4,8,6,7,1]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,2,3,4,8,7,6,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,2,3,4,5,1,7,8]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,2,3,4,5,1,8,7]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,1]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,2,3,4,5,8,7,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,2,3,4,5,6,1,8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,2,3,4,5,6,7,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[8,2,3,4,5,7,6,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,2,3,4,6,5,1,8]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,2,3,4,6,5,8,1]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[8,2,3,4,6,5,7,1]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[8,2,3,4,6,7,5,1]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[8,2,3,4,7,6,5,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2,3,5,4,1,8,7]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,2,3,5,4,7,8,1]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,2,3,5,4,8,7,1]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,2,3,5,4,6,1,8]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,2,3,5,4,6,8,1]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[8,2,3,5,4,6,7,1]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[8,2,3,5,4,7,6,1]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,2,3,5,6,4,1,8]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,2,3,5,6,4,8,1]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[8,2,3,5,6,4,7,1]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[8,2,3,5,6,7,4,1]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[8,2,3,5,7,6,4,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,2,3,6,5,4,8,1]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[8,2,3,6,5,4,7,1]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[8,2,3,6,5,7,4,1]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[8,2,3,7,5,6,4,1]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8,2,3,7,6,5,4,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,2,4,3,1,7,8,6]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,2,4,3,1,8,7,6]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,2,4,3,6,7,1,8]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[5,2,4,3,6,7,8,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,2,4,3,6,8,7,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,2,4,3,7,6,1,8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[5,2,4,3,7,6,8,1]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,2,4,3,8,6,7,1]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,2,4,3,8,7,6,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,2,4,3,5,1,7,8]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2,4,3,5,1,8,7]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[6,2,4,3,5,7,1,8]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,2,4,3,5,7,8,1]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,2,4,3,5,8,7,1]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,2,4,3,5,6,1,8]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,2,4,3,5,6,8,1]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[8,2,4,3,5,6,7,1]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[8,2,4,3,5,7,6,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,2,4,3,6,5,8,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[8,2,4,3,6,5,7,1]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[8,2,4,3,6,7,5,1]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8,2,4,3,7,6,5,1]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,2,4,5,3,1,7,8]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2,4,5,3,1,8,7]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[6,2,4,5,3,7,1,8]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,2,4,5,3,7,8,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,2,4,5,3,8,7,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,2,4,5,3,6,1,8]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,2,4,5,3,6,8,1]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[8,2,4,5,3,6,7,1]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[8,2,4,5,3,7,6,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,2,4,5,6,3,1,8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,2,4,5,6,3,8,1]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[8,2,4,5,6,3,7,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[8,2,4,5,6,7,3,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[8,2,4,5,7,6,3,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,4,6,5,3,1,8]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,2,4,6,5,3,8,1]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[8,2,4,6,5,3,7,1]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[8,2,4,6,5,7,3,1]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,2,4,7,5,6,3,1]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,2,5,4,3,1,7,8]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2,5,4,3,1,8,7]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,2,5,4,3,7,1,8]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,2,5,4,3,7,8,1]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,2,5,4,3,8,7,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,2,5,4,3,6,8,1]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[8,2,5,4,3,6,7,1]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8,2,5,4,3,7,6,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,2,5,4,6,3,1,8]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,2,5,4,6,3,8,1]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[8,2,5,4,6,3,7,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[8,2,5,4,6,7,3,1]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[8,2,5,4,7,6,3,1]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,6,4,5,3,1,8]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,2,6,4,5,3,8,1]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,2,6,4,5,3,7,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,2,6,4,5,7,3,1]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,2,7,4,5,6,3,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,2,6,5,4,3,1,8]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,6,5,4,3,8,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[8,2,6,5,4,3,7,1]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[8,2,6,5,4,7,3,1]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8,2,7,5,4,6,3,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,2,7,5,6,4,3,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,3,2,5,1,6,8,7]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,3,2,5,1,7,6,8]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,3,2,5,8,6,7,1]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,3,2,6,5,7,1,8]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,3,2,7,5,6,1,8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,8,5,7,6,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,2,7,6,5,1,8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,2,8,6,5,7,1]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,8,6,7,5,1]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,3,2,4,1,6,8,7]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,3,2,4,1,7,6,8]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[5,3,2,4,1,7,8,6]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,3,2,4,6,1,7,8]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[5,3,2,4,6,7,1,8]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[5,3,2,4,6,7,8,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[5,3,2,4,6,8,7,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,3,2,4,7,6,1,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,7,6,8,1]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[5,3,2,4,8,6,7,1]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,3,2,4,8,7,6,1]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[6,3,2,4,5,1,7,8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[6,3,2,4,5,1,8,7]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[6,3,2,4,5,7,1,8]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[6,3,2,4,5,7,8,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[6,3,2,4,5,8,7,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[7,3,2,4,5,6,1,8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[8,3,2,4,5,6,7,1]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[8,3,2,4,5,7,6,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,2,4,6,5,1,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[7,3,2,4,6,5,8,1]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[8,3,2,4,6,5,7,1]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[8,3,2,4,6,7,5,1]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[8,3,2,4,7,6,5,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,3,2,5,4,1,7,8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[6,3,2,5,4,7,8,1]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[6,3,2,5,4,8,7,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,3,2,5,4,6,1,8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,3,2,5,4,6,8,1]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[8,3,2,5,4,6,7,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,5,6,4,1,8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,3,2,5,6,4,8,1]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[8,3,2,5,6,4,7,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[8,3,2,5,6,7,4,1]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[8,3,2,5,7,6,4,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,3,2,6,5,4,1,8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,2,6,5,4,8,1]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[8,3,2,6,5,4,7,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[8,3,2,6,5,7,4,1]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8,3,2,7,5,6,4,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,3,4,2,1,6,8,7]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,3,4,2,1,7,6,8]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3,4,2,1,7,8,6]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,3,4,2,1,8,7,6]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[5,3,4,2,6,1,7,8]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,3,4,2,6,1,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,3,4,2,6,7,1,8]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,3,4,2,6,7,8,1]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[5,3,4,2,6,8,7,1]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,3,4,2,7,6,1,8]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,3,4,2,7,6,8,1]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,3,4,2,8,6,7,1]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,3,4,2,8,7,6,1]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[6,3,4,2,5,1,7,8]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[6,3,4,2,5,1,8,7]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[6,3,4,2,5,7,1,8]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[6,3,4,2,5,7,8,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[6,3,4,2,5,8,7,1]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[7,3,4,2,5,6,1,8]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[7,3,4,2,5,6,8,1]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[8,3,4,2,5,6,7,1]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[8,3,4,2,5,7,6,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,6,5,1,8]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,3,4,2,6,5,8,1]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[8,3,4,2,6,5,7,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[8,3,4,2,6,7,5,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[8,3,4,2,7,6,5,1]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[6,3,4,5,2,1,7,8]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,3,4,5,2,1,8,7]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[6,3,4,5,2,7,8,1]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,3,4,5,2,8,7,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[7,3,4,5,2,6,1,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,3,4,5,2,6,8,1]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[8,3,4,5,2,6,7,1]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[8,3,4,5,2,7,6,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1,8]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,3,4,5,6,2,8,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[8,3,4,5,6,2,7,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,3,4,5,6,7,2,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[8,3,4,5,7,6,2,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,3,4,6,5,2,1,8]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,6,5,2,8,1]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[8,3,4,6,5,2,7,1]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[8,3,4,6,5,7,2,1]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[8,3,4,7,5,6,2,1]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[8,3,4,7,6,5,2,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[6,3,5,4,2,1,7,8]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,3,5,4,2,1,8,7]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,1]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,3,5,4,2,8,7,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,3,5,4,2,6,1,8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,3,5,4,2,6,8,1]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[8,3,5,4,2,6,7,1]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[8,3,5,4,2,7,6,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,5,4,6,2,1,8]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[7,3,5,4,6,2,8,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[8,3,5,4,6,2,7,1]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[8,3,5,4,6,7,2,1]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[8,3,5,4,7,6,2,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,3,6,4,5,2,1,8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,6,4,5,2,8,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,6,4,5,2,7,1]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,6,4,5,7,2,1]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[8,3,7,4,5,6,2,1]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8,3,7,4,6,5,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[7,3,6,5,4,2,8,1]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[8,3,6,5,4,2,7,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[8,3,6,5,4,7,2,1]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[8,3,7,5,4,6,2,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,7,5,6,4,2,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[8,3,7,6,5,4,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,4,3,2,5,1,8,7]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[6,4,3,2,5,7,1,8]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[6,4,3,2,5,7,8,1]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[6,4,3,2,5,8,7,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[8,4,3,2,5,6,7,1]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[8,4,3,2,5,7,6,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,4,3,2,6,5,1,8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,3,2,6,5,8,1]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[8,4,3,2,6,5,7,1]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[8,4,3,2,6,7,5,1]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[8,4,3,2,7,6,5,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,4,3,5,2,1,7,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,4,3,5,2,1,8,7]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[6,4,3,5,2,7,1,8]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[6,4,3,5,2,7,8,1]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[6,4,3,5,2,8,7,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1,8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[8,4,3,5,2,6,7,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[8,4,3,5,2,7,6,1]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,4,3,5,6,2,1,8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,2,8,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[8,4,3,5,6,2,7,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[8,4,3,5,6,7,2,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[8,4,3,5,7,6,2,1]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,4,3,6,5,2,8,1]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[8,4,3,6,5,2,7,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[8,4,3,6,5,7,2,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8,4,3,7,5,6,2,1]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[8,4,3,7,6,5,2,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,5,3,4,2,1,7,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,5,3,4,2,1,8,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,5,3,4,2,7,1,8]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,8,1]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[6,5,3,4,2,8,7,1]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,5,3,4,2,6,1,8]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,8,1]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[8,5,3,4,2,6,7,1]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8,5,3,4,2,7,6,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[7,5,3,4,6,2,1,8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[8,5,3,4,6,2,7,1]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[8,5,3,4,6,7,2,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,5,3,4,7,6,2,1]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,6,3,4,5,2,8,1]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[8,6,3,4,5,2,7,1]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[8,6,3,4,5,7,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,7,3,4,5,6,2,1]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,3,4,6,5,2,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[7,6,3,5,4,2,8,1]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8,6,3,5,4,2,7,1]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[8,6,3,5,4,7,2,1]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8,7,3,5,4,6,2,1]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8,7,3,5,6,4,2,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,5,4,3,2,6,1,8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[8,5,4,3,2,6,7,1]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,5,4,3,6,2,1,8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[8,5,4,3,6,2,7,1]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[8,5,4,3,6,7,2,1]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[8,5,4,3,7,6,2,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,6,4,3,5,2,1,8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,6,4,3,5,2,8,1]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8,6,4,3,5,2,7,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[8,6,4,3,5,7,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[8,7,4,3,5,6,2,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,6,4,5,3,2,8,1]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[8,6,4,5,3,2,7,1]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[8,6,4,5,3,7,2,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[8,7,4,5,3,6,2,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[8,7,4,5,6,3,2,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8,7,4,6,5,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8,6,5,4,3,2,7,1]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[8,6,5,4,3,7,2,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[8,7,5,4,6,3,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,7,6,4,5,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,7,6,4,5,3,2,1,9]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,9,8,7,5,6,4,3,2]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,7,5,4,6,3,2,1,9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,7,4,6,5,3,2,1,9]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,9,8,6,5,7,4,3,2]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,9,8,5,7,6,4,3,2]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[8,7,5,4,3,6,2,1,9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[8,7,4,5,6,3,2,1,9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,7,3,6,5,4,2,1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,9,8,6,5,4,7,3,2]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,9,8,5,6,7,4,3,2]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,9,8,4,7,6,5,3,2]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[8,7,4,5,3,6,2,1,9]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[8,7,4,3,6,5,2,1,9]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,7,3,5,6,4,2,1,9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,3,7,6,5,4,2,1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,9,7,6,5,4,8,3,2]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,9,8,5,6,4,7,3,2]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,9,8,5,4,7,6,3,2]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,9,8,4,6,7,5,3,2]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,9,4,8,7,6,5,3,2]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[8,6,4,5,3,7,2,1,9]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,7,3,4,6,5,2,1,9]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,3,7,5,6,4,2,1,9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,2,7,6,5,4,3,1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,9,7,6,5,4,3,8,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,9,7,5,6,4,8,3,2]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,9,8,5,4,6,7,3,2]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,9,8,4,6,5,7,3,2]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,9,8,4,5,7,6,3,2]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,9,4,8,6,7,5,3,2]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,9,3,8,7,6,5,4,2]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,6,5,4,3,2,8,1,9]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[8,5,4,3,7,6,2,1,9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,7,3,4,5,6,2,1,9]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,3,7,4,6,5,2,1,9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,7,6,5,4,3,9,2]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,9,7,5,4,6,8,3,2]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,9,6,5,4,8,7,3,2]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,9,8,4,5,6,7,3,2]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,9,4,8,5,7,6,3,2]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,9,3,8,6,7,5,4,2]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[7,6,4,5,3,2,8,1,9]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[8,6,3,4,5,7,2,1,9]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,5,3,4,7,6,2,1,9]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,7,4,5,6,2,1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,6,4,5,3,2,1,9,8]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,8,7,5,6,4,3,9,2]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,9,7,5,4,6,3,8,2]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,9,6,5,4,7,8,3,2]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,9,7,4,5,6,8,3,2]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,9,4,7,6,5,8,3,2]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,9,5,4,8,6,7,3,2]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,9,4,8,5,6,7,3,2]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,9,4,5,8,7,6,3,2]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,9,8,6,7,5,4,3]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,9,8,6,7,5,4,2]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[7,6,4,5,3,2,1,8,9]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1,9]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,6,3,4,5,2,7,1,9]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,2,7,4,5,6,3,1,9]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[2,8,7,4,6,5,3,1,9]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,8,7,5,6,4,3,2,9]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[7,6,4,3,5,2,1,9,8]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,6,3,5,4,2,1,9,8]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,9,7,4,5,6,3,8,2]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,9,4,6,5,8,7,3,2]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,9,3,8,5,6,7,4,2]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,9,8,6,5,7,4,3]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,3,9,8,6,5,7,4,2]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,9,8,6,7,5,4,3]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,4,3,5,2,1,8,9]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6,3,5,4,2,1,8,9]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[7,6,3,4,5,2,8,1,9]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1,9]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>[8,4,3,2,7,6,5,1,9]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,7,6,2,1,9]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[7,5,4,3,6,2,1,9,8]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,6,3,4,5,2,1,9,8]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,3,6,5,4,2,1,9,8]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,9,6,5,4,3,7,8,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,9,4,7,5,6,3,8,2]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,9,3,7,6,5,4,8,2]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,9,5,4,6,7,8,3,2]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,9,4,6,5,7,8,3,2]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,9,5,4,3,8,7,6,2]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,9,4,5,6,8,7,3,2]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1,9,8,5,6,7,4,3]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,3,9,8,5,6,7,4,2]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,9,8,6,5,7,4,3]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,9,3,4,8,7,6,5,2]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,1,9,5,8,7,6,4,3]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,9,8,5,7,6,4,3]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,7,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,9,7,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,8,7,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,5,7,6,9,8,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,5,8,6,7,9,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,9,6,7,8,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,5,9,6,8,7,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,5,8,7,6,9,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,5,9,7,6,8,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,9,7,8,6,1]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,9,8,7,6,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,7,9,8,1]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,4,6,5,9,8,7,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,4,7,5,6,8,9,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,9,5,6,7,8,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,9,5,6,8,7,1]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,9,5,8,7,6,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,4,7,6,5,8,9,1]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,9,6,5,7,8,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,4,8,6,7,5,9,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,9,6,7,5,8,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,9,6,7,8,5,1]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,4,8,7,6,5,9,1]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,9,7,6,5,8,1]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,9,8,6,7,5,1]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,9,8,7,6,5,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,9,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,6,7,9,8,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,8,7,9,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,4,6,9,7,8,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,7,6,8,9,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,4,8,6,7,9,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,4,9,6,7,8,1]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,4,9,8,7,6,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,9,1]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,4,5,9,8,7,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,3,7,4,5,6,8,9,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,9,4,5,6,7,8,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,3,9,4,5,6,8,7,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,3,7,4,6,5,8,9,1]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,3,9,4,6,7,8,5,1]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,9,4,8,7,6,5,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,9,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,7,5,4,6,8,9,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,9,5,4,6,7,8,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,7,5,6,4,8,9,1]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,9,5,6,4,7,8,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,9,5,6,7,4,8,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,9,5,6,7,8,4,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,7,6,5,4,9,8,1]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,9,6,5,4,7,8,1]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,9,6,5,4,8,7,1]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,3,9,6,5,7,8,4,1]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,9,8,5,6,7,4,1]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,8,7,6,5,4,9,1]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,9,7,6,5,8,4,1]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,3,9,8,6,5,7,4,1]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,3,9,8,6,7,5,4,1]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,7,9,8,1]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,6,9,7,8,1]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,7,6,8,9,1]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,5,8,6,7,9,1]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,5,8,7,6,9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,6,5,7,9,8,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,8,7,9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,5,9,7,8,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,6,5,9,8,7,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,3,9,5,7,6,8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,3,9,5,7,8,6,1]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,3,8,6,5,7,9,1]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,3,9,6,7,5,8,1]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,3,9,6,8,7,5,1]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,3,9,8,7,6,5,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,5,3,4,6,7,8,9,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,5,3,4,6,7,9,8,1]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,6,9,7,8,1]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,5,3,4,7,6,8,9,1]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,8,6,7,9,1]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,5,3,4,9,8,7,6,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,9,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,8,3,4,5,6,7,9,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,9,3,4,5,6,7,8,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,9,3,4,5,6,8,7,1]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,9,3,4,5,7,8,6,1]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,9,3,4,5,8,7,6,1]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,8,3,4,7,6,5,9,1]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,9,3,4,8,7,6,5,1]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,9,3,5,4,6,8,7,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,9,3,5,6,7,8,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,9,3,5,7,6,8,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,9,3,5,8,6,7,4,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,9,3,6,5,7,4,8,1]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,9,3,8,7,6,5,4,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,9,1]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[2,5,4,3,6,9,7,8,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[2,5,4,3,9,6,7,8,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[2,5,4,3,9,7,8,6,1]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[2,6,4,3,5,9,7,8,1]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,9,4,3,5,6,7,8,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[2,6,4,5,3,7,8,9,1]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[2,6,4,5,3,9,8,7,1]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[2,8,4,5,3,6,7,9,1]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[2,9,4,5,3,6,7,8,1]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[2,7,4,5,6,3,8,9,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[2,8,4,5,6,7,3,9,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[2,9,4,5,6,7,3,8,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,9,4,5,6,7,8,3,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,9,1]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[2,6,5,4,3,9,8,7,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[2,9,5,4,3,6,7,8,1]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[2,9,5,4,3,8,7,6,1]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,8,5,4,6,3,7,9,1]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[2,9,5,4,6,3,7,8,1]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[2,9,5,4,6,7,8,3,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[2,7,6,4,5,3,9,8,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[2,9,6,4,5,7,8,3,1]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[2,9,7,4,5,6,3,8,1]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,9,8,4,5,6,7,3,1]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,9,8,4,6,7,5,3,1]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,9,8,4,7,6,5,3,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[2,7,6,5,4,3,8,9,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,7,6,5,4,3,9,8,1]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,9,6,5,4,3,8,7,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[2,9,6,5,4,7,3,8,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[2,9,6,5,4,7,8,3,1]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[2,9,6,5,4,8,7,3,1]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,9,8,5,4,6,7,3,1]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,9,8,5,4,7,6,3,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[2,8,7,5,6,4,3,9,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[2,9,7,5,6,4,8,3,1]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[2,9,8,5,6,4,7,3,1]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,9,8,5,6,7,4,3,1]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,9,8,5,7,6,4,3,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,7,6,5,4,3,9,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,9,7,6,5,4,3,8,1]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,9,8,6,5,4,7,3,1]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,9,8,6,5,7,4,3,1]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,9,8,7,5,6,4,3,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,7,9,8,1]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,6,8,7,9,1]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,6,9,7,8,1]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,5,6,9,8,7,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,7,6,8,9,1]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,5,9,6,7,8,1]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,4,9,5,6,7,8,1]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,4,9,6,7,8,5,1]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,4,9,6,8,7,5,1]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,9,8,6,7,5,1]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,4,9,8,7,6,5,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,9,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,7,6,8,9,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,9,8,1]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,4,8,6,7,9,1]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,4,9,6,8,7,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,2,6,4,5,7,8,9,1]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,9,7,8,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,9,4,5,6,7,8,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,2,9,4,5,6,8,7,1]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,2,9,4,5,8,7,6,1]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,9,4,6,8,7,5,1]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,2,9,4,8,7,6,5,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,6,5,4,7,8,9,1]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,9,5,4,6,7,8,1]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,9,5,6,7,8,4,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,2,7,6,5,4,8,9,1]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,9,8,5,6,7,4,1]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,2,9,8,5,7,6,4,1]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,2,8,7,6,5,4,9,1]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,2,9,7,6,5,4,8,1]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,9,8,6,7,5,4,1]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,9,8,7,6,5,4,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,7,9,8,1]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[4,2,3,5,6,9,7,8,1]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,5,9,6,7,8,1]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,5,9,8,7,6,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,6,5,7,8,9,1]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[4,2,3,8,6,5,7,9,1]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,2,3,9,8,6,7,5,1]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,2,3,9,8,7,6,5,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,9,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,2,3,4,6,7,9,8,1]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,2,3,4,6,9,7,8,1]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,2,3,4,6,9,8,7,1]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,9,6,7,8,1]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[5,2,3,4,9,8,7,6,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,2,3,4,5,7,9,8,1]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[6,2,3,4,5,9,8,7,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,2,3,4,5,6,8,9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[7,2,3,4,5,6,9,8,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,2,3,4,5,6,7,8,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[9,2,3,4,5,6,8,7,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[8,2,3,4,5,7,6,9,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[9,2,3,4,5,7,6,8,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[9,2,3,4,5,7,8,6,1]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[9,2,3,4,5,8,7,6,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,2,3,4,6,5,8,9,1]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[9,2,3,4,6,5,7,8,1]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[8,2,3,4,6,7,5,9,1]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[9,2,3,4,6,7,8,5,1]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[9,2,3,4,6,8,7,5,1]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[8,2,3,4,7,6,5,9,1]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[9,2,3,4,8,6,7,5,1]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[9,2,3,4,8,7,6,5,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,2,3,5,4,7,8,9,1]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[9,2,3,5,4,6,7,8,1]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,2,3,5,6,4,8,9,1]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[9,2,3,5,6,7,4,8,1]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[9,2,3,5,6,7,8,4,1]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[9,2,3,5,8,6,7,4,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,2,3,6,5,4,8,9,1]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[9,2,3,6,5,4,7,8,1]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[9,2,3,7,5,6,4,8,1]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[9,2,3,8,5,6,7,4,1]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[8,2,3,7,6,5,4,9,1]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[9,2,3,7,6,5,4,8,1]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[9,2,3,8,7,6,5,4,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,2,4,3,6,7,8,9,1]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[9,2,4,3,5,6,7,8,1]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[9,2,4,3,5,7,6,8,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[8,2,4,3,6,5,7,9,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[9,2,4,3,6,5,8,7,1]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[9,2,4,3,6,8,7,5,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[6,2,4,5,3,7,8,9,1]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[9,2,4,5,3,6,7,8,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,2,4,5,6,3,8,9,1]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[9,2,4,5,6,3,7,8,1]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[9,2,4,5,6,3,8,7,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[8,2,4,5,6,7,3,9,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[9,2,4,5,6,7,3,8,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,2,4,5,6,7,8,3,1]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,2,4,5,6,8,7,3,1]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[8,2,4,6,5,7,3,9,1]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[9,2,4,8,5,6,7,3,1]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[8,2,4,7,6,5,3,9,1]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[9,2,4,8,7,6,5,3,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[6,2,5,4,3,7,8,9,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,2,5,4,3,7,9,8,1]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[9,2,5,4,3,6,7,8,1]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[9,2,5,4,3,7,8,6,1]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[9,2,5,4,3,8,7,6,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[7,2,5,4,6,3,9,8,1]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[9,2,6,4,5,3,7,8,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[9,2,6,4,5,7,3,8,1]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[9,2,7,4,5,6,3,8,1]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[9,2,7,4,5,6,8,3,1]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[9,2,8,4,5,6,7,3,1]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[9,2,8,4,5,7,6,3,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[8,2,7,4,6,5,3,9,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[9,2,7,4,6,5,8,3,1]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[9,2,8,4,7,6,5,3,1]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,2,6,5,4,3,9,8,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[9,2,6,5,4,3,7,8,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[9,2,6,5,4,3,8,7,1]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[9,2,6,5,4,7,8,3,1]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[9,2,6,5,4,8,7,3,1]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[9,2,8,5,4,6,7,3,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[9,2,7,5,6,4,3,8,1]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[9,2,8,5,6,7,4,3,1]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,2,8,5,7,6,4,3,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,7,6,5,4,3,9,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[9,2,7,6,5,4,3,8,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[9,2,7,6,5,4,8,3,1]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[9,2,8,6,5,4,7,3,1]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[9,2,8,6,5,7,4,3,1]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[9,2,8,7,5,6,4,3,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,2,8,7,6,5,4,3,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,7,9,8,1]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,2,5,6,9,7,8,1]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,6,9,8,7,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,9,6,7,8,1]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[4,3,2,5,9,7,6,8,1]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,5,9,7,8,6,1]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,5,9,8,7,6,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,9,1]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,8,7,9,1]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,3,2,6,5,9,8,7,1]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,3,2,9,5,8,7,6,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,7,6,5,9,8,1]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,9,6,7,8,5,1]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,3,2,9,6,8,7,5,1]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[4,3,2,8,7,6,5,9,1]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,2,9,8,6,7,5,1]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,9,8,7,6,5,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[5,3,2,4,6,7,8,9,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,9,8,1]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[5,3,2,4,9,8,7,6,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,3,2,4,5,7,8,9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,3,2,4,5,6,8,9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[7,3,2,4,5,6,9,8,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,3,2,4,5,6,7,9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,3,2,4,5,6,7,8,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[9,3,2,4,5,6,8,7,1]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[9,3,2,4,5,7,8,6,1]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[9,3,2,4,5,8,7,6,1]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[9,3,2,4,6,5,8,7,1]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[9,3,2,4,6,7,5,8,1]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[9,3,2,4,6,8,7,5,1]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[9,3,2,4,7,6,5,8,1]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[9,3,2,5,4,6,7,8,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[9,3,2,5,6,7,8,4,1]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[9,3,2,8,5,6,7,4,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[9,3,2,7,6,5,4,8,1]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[9,3,2,8,6,5,7,4,1]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[9,3,2,8,6,7,5,4,1]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[9,3,2,8,7,6,5,4,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,3,4,2,6,7,8,9,1]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,9,7,8,6,1]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,3,4,2,9,8,7,6,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[6,3,4,2,5,8,7,9,1]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[8,3,4,2,5,6,7,9,1]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[9,3,4,2,5,6,7,8,1]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[9,3,4,2,5,7,8,6,1]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[9,3,4,2,8,7,6,5,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[6,3,4,5,2,7,8,9,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[6,3,4,5,2,7,9,8,1]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[6,3,4,5,2,9,7,8,1]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[6,3,4,5,2,9,8,7,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,3,4,5,2,6,8,9,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[7,3,4,5,2,6,9,8,1]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[8,3,4,5,2,6,7,9,1]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[9,3,4,5,2,6,7,8,1]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[9,3,4,5,2,8,7,6,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,3,4,5,6,2,8,9,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[7,3,4,5,6,2,9,8,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[8,3,4,5,6,2,7,9,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[9,3,4,5,6,2,7,8,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[9,3,4,5,6,2,8,7,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[8,3,4,5,6,7,2,9,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[9,3,4,5,6,7,2,8,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,3,4,5,6,7,8,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,3,4,5,6,8,7,2,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[8,3,4,5,7,6,2,9,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[9,3,4,5,7,6,8,2,1]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[9,3,4,5,8,6,7,2,1]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[9,3,4,5,8,7,6,2,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[7,3,4,6,5,2,8,9,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[7,3,4,6,5,2,9,8,1]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[9,3,4,6,5,7,8,2,1]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[8,3,4,7,5,6,2,9,1]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[9,3,4,7,5,6,8,2,1]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[9,3,4,8,5,6,7,2,1]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[8,3,4,7,6,5,2,9,1]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[9,3,4,8,6,7,5,2,1]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[9,3,4,8,7,6,5,2,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,9,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[8,3,5,4,6,2,7,9,1]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[9,3,5,4,6,8,7,2,1]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[9,3,6,4,5,7,8,2,1]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[9,3,7,4,5,6,2,8,1]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[9,3,8,4,5,6,7,2,1]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[9,3,8,4,5,7,6,2,1]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[9,3,8,4,6,7,5,2,1]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[9,3,8,4,7,6,5,2,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,3,6,5,4,2,8,9,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,3,6,5,4,2,9,8,1]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[9,3,6,5,4,2,7,8,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[8,3,6,5,4,7,2,9,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[9,3,6,5,4,7,8,2,1]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[9,3,6,5,4,8,7,2,1]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[9,3,7,5,4,6,2,8,1]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[9,3,8,5,4,6,7,2,1]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[9,3,8,5,4,7,6,2,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[8,3,7,5,6,4,2,9,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[9,3,7,5,6,4,8,2,1]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[9,3,8,5,6,7,4,2,1]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,3,8,5,7,6,4,2,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,3,7,6,5,4,2,9,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[9,3,7,6,5,4,2,8,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[9,3,7,6,5,4,8,2,1]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[9,3,8,6,5,7,4,2,1]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[9,3,8,7,5,6,4,2,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,3,8,7,6,5,4,2,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,1]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,3,2,6,9,7,8,1]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,4,3,2,6,9,8,7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>[5,4,3,2,7,6,8,9,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,3,2,9,7,8,6,1]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,9,8,7,6,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[6,4,3,2,5,7,8,9,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,4,3,2,5,6,8,9,1]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>[8,4,3,2,5,6,7,9,1]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[9,4,3,2,5,6,7,8,1]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>[9,4,3,2,5,6,8,7,1]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[9,4,3,2,5,7,6,8,1]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>[9,4,3,2,5,8,7,6,1]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[9,4,3,2,6,5,8,7,1]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[9,4,3,2,7,6,5,8,1]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>[9,4,3,2,8,6,7,5,1]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[9,4,3,2,8,7,6,5,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[6,4,3,5,2,7,8,9,1]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[6,4,3,5,2,9,8,7,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,4,3,5,2,6,8,9,1]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>[9,4,3,5,2,6,7,8,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[9,4,3,5,6,7,2,8,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[9,4,3,5,6,7,8,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,4,3,5,6,8,7,2,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[9,4,3,5,7,6,2,8,1]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[9,4,3,6,5,8,7,2,1]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>[9,4,3,8,5,6,7,2,1]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[9,4,3,8,5,7,6,2,1]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[9,4,3,7,6,5,8,2,1]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>[9,4,3,8,6,7,5,2,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>[6,5,3,4,2,7,8,9,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,5,3,4,2,7,9,8,1]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>[6,5,3,4,2,9,8,7,1]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[9,5,3,4,2,6,7,8,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[8,5,3,4,6,2,7,9,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[9,5,3,4,6,2,7,8,1]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[9,5,3,4,6,7,8,2,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[9,5,3,4,7,6,2,8,1]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[9,5,3,4,8,6,7,2,1]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>[9,5,3,4,8,7,6,2,1]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[8,6,3,4,5,2,7,9,1]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[9,6,3,4,5,2,7,8,1]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[9,6,3,4,5,7,8,2,1]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[9,6,3,4,5,8,7,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[9,7,3,4,5,6,2,8,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[9,7,3,4,5,6,8,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[9,8,3,4,5,6,7,2,1]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[9,8,3,4,5,7,6,2,1]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[9,8,3,4,6,5,7,2,1]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[9,8,3,4,6,7,5,2,1]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[9,8,3,4,7,6,5,2,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,3,5,4,2,8,9,1]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[9,6,3,5,4,2,7,8,1]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[9,8,3,5,4,6,7,2,1]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[9,8,3,5,4,7,6,2,1]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[9,8,3,5,6,4,7,2,1]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[9,8,3,5,6,7,4,2,1]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[9,8,3,5,7,6,4,2,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,7,3,6,5,4,2,9,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[9,7,3,6,5,4,2,8,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[9,7,3,6,5,4,8,2,1]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[9,8,3,6,5,4,7,2,1]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[9,8,3,6,5,7,4,2,1]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[9,8,3,7,5,6,4,2,1]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,3,7,6,5,4,2,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[6,5,4,3,2,7,9,8,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[6,5,4,3,2,8,7,9,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,4,3,2,9,7,8,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[6,5,4,3,2,9,8,7,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[7,5,4,3,2,6,8,9,1]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>[8,5,4,3,2,6,7,9,1]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[9,5,4,3,2,7,8,6,1]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[9,5,4,3,2,8,7,6,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[7,5,4,3,6,2,8,9,1]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[8,5,4,3,6,2,7,9,1]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[9,5,4,3,6,7,8,2,1]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>[9,5,4,3,6,8,7,2,1]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[9,5,4,3,7,6,2,8,1]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[9,5,4,3,8,6,7,2,1]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[9,5,4,3,8,7,6,2,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[7,6,4,3,5,2,9,8,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[9,6,4,3,5,7,2,8,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>[9,6,4,3,5,7,8,2,1]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>[9,6,4,3,5,8,7,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[9,7,4,3,5,6,8,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[9,8,4,3,5,6,7,2,1]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[9,8,4,3,5,7,6,2,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[8,7,4,3,6,5,2,9,1]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[9,8,4,3,6,5,7,2,1]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[9,8,4,3,6,7,5,2,1]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[9,8,4,3,7,6,5,2,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,8,9,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[7,6,4,5,3,2,9,8,1]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]=>[9,6,4,5,3,2,7,8,1]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]=>[9,6,4,5,3,7,8,2,1]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>[9,6,4,5,3,8,7,2,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[9,7,4,5,3,6,2,8,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[9,7,4,5,3,6,8,2,1]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[9,8,4,5,3,6,7,2,1]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[9,8,4,5,3,7,6,2,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[8,7,4,5,6,3,2,9,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>[9,7,4,5,6,3,2,8,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[9,7,4,5,6,3,8,2,1]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[9,8,4,5,6,3,7,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[9,8,4,5,6,7,3,2,1]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[9,8,4,5,7,6,3,2,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[8,7,4,6,5,3,2,9,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[9,7,4,6,5,3,2,8,1]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[9,8,4,6,5,3,7,2,1]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[9,8,4,6,5,7,3,2,1]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[9,8,4,7,5,6,3,2,1]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,4,7,6,5,3,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,6,5,4,3,2,9,8,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,7,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[9,6,5,4,3,2,7,8,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[9,6,5,4,3,2,8,7,1]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[8,6,5,4,3,7,2,9,1]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[9,6,5,4,3,8,7,2,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[8,7,5,4,3,6,2,9,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[9,7,5,4,3,6,2,8,1]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[9,8,5,4,3,6,7,2,1]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[9,8,5,4,3,7,6,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[8,7,5,4,6,3,2,9,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[9,7,5,4,6,3,2,8,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[9,7,5,4,6,3,8,2,1]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[9,8,5,4,6,3,7,2,1]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[9,8,5,4,6,7,3,2,1]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[9,8,5,4,7,6,3,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,7,6,4,5,3,2,9,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[9,7,6,4,5,3,2,8,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[9,7,6,4,5,3,8,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[9,8,6,4,5,3,7,2,1]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[9,8,6,4,5,7,3,2,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[9,8,7,4,5,6,3,2,1]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[9,8,7,4,6,5,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[9,7,6,5,4,3,2,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[9,7,6,5,4,3,8,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[9,8,6,5,4,3,7,2,1]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[9,8,6,5,4,7,3,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[9,8,7,5,4,6,3,2,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,8,7,5,6,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,9,3]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,9,7,8,6]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,4,8,6,7,9,5]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,3,7,5,6,8,9,4]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,4,8,7,6,9,5]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,9,3]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,7,6,5,8,9,4]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,5,3,4,6,7,8,9,2]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,4,9,6,7,8,5]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,3,8,5,6,7,9,4]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,4,9,6,8,7,5]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,2,7,4,5,6,8,9,3]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,4,9,7,8,6,5]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,6,3,4,5,7,8,9,2]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,2,7,4,6,5,8,9,3]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,8,6,7,5,9,4]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,2,7,5,6,4,8,9,3]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,6,4,5,3,7,8,9,2]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,9,5,6,7,8,4]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,3,9,5,6,8,7,4]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,3,9,5,7,8,6,4]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,7,3,4,6,5,8,9,2]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,2,7,6,5,4,8,9,3]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,2,8,4,6,7,5,9,3]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,2,8,5,6,7,4,9,3]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,9,4,5,6,7,8,3]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,8,3,4,5,6,7,9,2]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,9,4,5,6,8,7,3]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,9,7,6,8,5,4]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,7,3,6,5,4,8,9,2]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,8,3,4,6,7,5,9,2]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,2,8,6,5,7,4,9,3]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,8,4,5,6,7,3,9,2]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,9,3,4,5,6,7,8,2]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,9,3,4,5,6,8,7,2]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,9,8,6,7,5,4]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,2,8,7,5,6,4,9,3]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,8,3,6,5,7,4,9,2]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,7,6,5,4,3,8,9,2]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,9,3,5,6,7,8,4,2]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,9,4,5,6,7,8,3,2]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,9,4,8,6,7,5,3]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,9,7,6,5,8,4,3]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,9,8,5,6,7,4,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,5,8,7,6,9]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,4,6,5,7,9,8]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7,9]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,4,6,5,9,8,7]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,4,7,6,5,8,9]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,4,7,6,5,9,8]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,4,8,7,6,5,9]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6,8,7,9]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,7,6,8,9]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,3,5,4,9,8,7,6]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,3,6,5,4,7,8,9]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,3,6,5,4,8,7,9]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,3,6,5,4,9,8,7]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,8,7,6,5,4,9]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,7,9,8]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,6,8,7,9]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,6,9,8,7]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,5,7,6,9,8]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,6,5,7,8,9]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7,9]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,6,5,9,8,7]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,7,6,5,9,8]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,3,8,7,6,5,9]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,4,3,9,8,7,6,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8,9]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,5,4,3,7,6,9,8]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,2,6,5,4,3,7,8,9]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,2,6,5,4,3,9,8,7]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,2,7,6,5,4,3,8,9]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,2,7,6,5,4,3,9,8]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,8,7,6,5,4,3,9]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,6,8,7,9]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,9,8,7]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5,7,6,8,9]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,6,5,7,8,9]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,4,9,8,7,6,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,5,4,6,7,9,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,7,6,8,9]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,5,4,8,7,6,9]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,5,4,9,8,7,6]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,2,6,5,4,7,8,9]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4,9,8,7]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,2,8,7,6,5,4,9]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,9,8,7,6,5,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,8,7,9]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,7,6,5,8,9]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,7,6,5,9,8]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,4,3,2,9,8,7,6,5]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8,9]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,5,4,3,2,6,9,8,7]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,5,4,3,2,7,6,8,9]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2,9,8,7,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,6,5,4,3,2,7,8,9]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,6,5,4,3,2,9,8,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,7,6,5,4,3,2,8,9]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,6,5,4,3,2,9,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,6,9,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,5,7,6,8,9]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,5,7,6,9,8]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5,8,7,6,9]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5,9,8,7,6]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,6,5,7,8,9]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,4,6,5,9,8,7]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,8,7,6,5,9]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,9,8,7,6,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8,9]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6,9,8]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,3,6,5,4,9,8,7]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,8,7,6,5,4,9]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,3,9,8,7,6,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,7,9,8]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,5,9,8,7,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,6,5,7,9,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,9,8,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,7,6,5,8,9]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,7,6,5,9,8]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,4,3,9,8,7,6,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8,9]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,8,7,6,9]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,5,4,3,9,8,7,6]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,1,6,5,4,3,7,8,9]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,1,6,5,4,3,9,8,7]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,7,6,5,4,3,8,9]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,1,7,6,5,4,3,9,8]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,7,6,5,4,3,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,7,9,8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,6,8,7,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,6,9,8,7]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5,7,9,8]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,8,7,9]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,4,8,7,6,5,9]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,4,9,8,7,6,5]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,6,5,4,7,8,9]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4,9,8,7]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,1,7,6,5,4,9,8]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,1,8,7,6,5,4,9]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,7,9,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,6,9,8,7]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,5,8,7,6,9]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,5,9,8,7,6]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,3,2,1,6,5,7,8,9]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,8,7,9]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,3,2,1,6,5,9,8,7]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,3,2,1,7,6,5,8,9]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,3,2,1,7,6,5,9,8]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,8,7,6,5,9]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,7,9,8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,4,3,2,1,6,8,7,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,4,3,2,1,6,9,8,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,4,3,2,1,7,6,8,9]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,4,3,2,1,8,7,6,9]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[6,5,4,3,2,1,7,9,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,5,4,3,2,1,8,7,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8,9]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,5,1,7,8,9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,6,1,8,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,7,1,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,6,8,9,7]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,8,9,7]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,2,3,4,5,6,7,1,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,2,3,4,5,6,1,8,9]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[6,2,3,4,5,1,7,8,9]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8,9]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8,9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,5,4,3,2,7,1,8,9]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,4,3,2,6,1,7,8,9]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8,9]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,2,3,4,5,6,1,9,8]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,9,4,5,6,7,8,3]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,8,3,4,5,6,7,1,9]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,8,7,6,5,4]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,2,3,1,9,8,7,6,5]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,3,4,2,1,9,8,7,6]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,3,4,2,1,9,8,7]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8,9]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8,9]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,9,8]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,9,4,3,5,6,7,8,2]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,1,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,8,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,8,7]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1,9,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,1,9,7,8,6,5]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,9,6,7,8,5,4]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,1,9,5,6,7,8,4,3]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,4,9,8,7,6,5,3]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,2,6,5,4,3,1,9,8]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,1,9,5,8,7,6,4]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,3,5,4,2,1,9,8,7]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,2,1,9,7,8,6,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,4,3,2,1,8,9,7]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,3,2,1,9,7,8,6]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,1,9,8,6,7,5,4]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,5,7,8,9,6]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[6,5,4,3,2,7,1,9,8]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,1,9,7,6,5,4,8,3]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,4,3,2,5,1,9,8,7]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,2,1,9,7,6,8,5,4]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,8,5,9]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,4,6,7,5,8,9]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,9,5]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,4,6,7,5,9,8]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7,9]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,5,1,7,6,8,9]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,8,7,9]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,6,5,1,8,7,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,8,7,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,6,5,7,1,9,8]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6,9,8]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[2,6,4,3,5,1,8,7,9]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,3,8,6,5,7,1,9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,6,5,7,1,8,9]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,5,1,8,7,9,6]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,6,5,7,4,9,8]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6,9,8]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,5,7,8,9,6]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1,9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,2,3,4,5,7,6,1,9]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,6,8,7,9]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,9,8,7,6,5,3]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,8,7,6,4]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,8,7,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,9,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,9,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,3,4,2,1,7,8,9,6]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[6,3,4,5,2,1,8,9,7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,3,4,5,6,2,1,9,8]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,3,7,4,5,6,1,8,9]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,5,7,6,8,9]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,9,6,7,8,5,4]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,9,6,7,5,8,4]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,8,5,9]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,9,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,3,4,2,1,7,8,9]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8,9]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,3,4,2,1,8,9,7]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,3,9,8,7,6,5,2]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,2,3,1,5,6,7,9,8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,3,4,2,1,6,7,9,8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,5,3,4,2,1,7,9,8]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,4,8,6,7,5,9]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,5,7,6,8,9,2]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,2,7,4,5,6,3,8,9]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,9,3]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,9,4]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,9,4,3,5,6,8,7,2]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,9,5,4,6,8,7,3]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,9,6,5,8,7,4]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,6,3,4,5,2,7,8,9]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,2,6,4,5,3,7,8,9]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,2,3,4,1,9,7,8,6]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,6,9]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,7,9,8,4]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,6,1,7,9,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,7,2,9,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,7,9,8,3]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8,9]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,2,7,6,5,4,9,8,3]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,3,7,6,5,4,2,9,8]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,7,6,5,4,8,3,9]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,2,7,6,5,4,1,8,9]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,6,5,3,7,8,9]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,3,6,8,7,5,9]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[5,2,4,3,1,7,6,9,8]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,1,9,8,6,7,5,4]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,8,7,5,6,4,3,9]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,3,2,4,5,7,6,1,9]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,1,8,7,6,5,4,9,3]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,1,5,6,9,8,7,4]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,7,9,8,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,3,7,8,9,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,6,2,8,9,7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,2,3,4,5,1,9,8,7]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,2,3,4,1,9,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,1,9,8,7,6,5]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,5,3,9,8,7,6]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,9,8,6,7,5,3]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,8,7,6,5,3,9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,5,7,6,8,1,9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,5,8,6,7,1,9]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,1,7,8,6,9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,5,8,7,6,1,9]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,6,3,4,5,7,8,2,9]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,8,4,5,6,7,3,2,9]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,9,4]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,5,7,8,6,9]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,5,7,8,6,9]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,5,7,8,6,9]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,4,6,9,7,8,5]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,3,5,9,6,7,8,4]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,9,4,5,6,7,8,2]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,5,9,7,8,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,3,5,4,2,1,7,9,8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,6,8,9,7]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,5,3,4,2,7,1,8,9]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,3,5,4,2,7,1,8,9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,7,1,8,9]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[7,3,4,5,6,2,1,8,9]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[6,3,4,5,2,7,1,8,9]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,3,4,2,6,1,7,8,9]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[2,8,4,6,5,3,7,1,9]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8,9]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,6,8,7,9]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,2,5,4,6,7,3,8,9]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,2,9,8,6,7,5,4]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,4,9,7,8,6,5]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,5,9,7,8,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,5,8,9,7]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5,8,9]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6,9,8]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,8,7,9]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,5,4,1,9,8,7,6]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,1,8,7,6,5,9,4]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,4,6,8,7,9,5]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,5,9,7,6,8,4]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,9,7,6,8,5,3]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,9,8,7,6,5,2]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,4,6,5,1,9,8,7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,4,7,6,5,1,9,8]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,4,8,7,6,5,1,9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[8,3,4,5,6,2,7,1,9]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,2,4,5,6,7,3,1,9]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[7,5,4,3,6,2,1,8,9]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,4,6,8,7,5,9]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,6,4,7,8,9]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,5,7,8,9,6]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8,9]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,4,6,5,3,7,8,9]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,3,5,7,6,4,8,9]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,4,3,5,2,1,9,8,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,6,5,7,8,9]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,6,1,7,8,9]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,7,1,8,9]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,8,6,7,5,9,4]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,4,8,6,7,9,5]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,5,7,8,9,6]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,9,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,4,7,6,9,8,5]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,2,6,5,4,9,8,7,3]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,7,6,5,9,8,4]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,3,2,5,4,1,7,8,9]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,7,5,4,6,3,8,9]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,3,8,6,7,5,9]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8,9]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8,9]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,2,3,4,6,5,1,8,9]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,6,5,4,3,9,8,7,2]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,6,5,7,8,9]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,6,4,7,8,9]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,6,4,7,8,9]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>[5,4,3,2,8,7,6,1,9]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,6,9,7,8,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,7,3,8,9]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,8,3,9]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,7,4,8,9]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,3,6,5,7,8,4,9]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,7,3,4,5,6,2,8,9]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,7,4,8,9]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,8,4,3,5,6,7,2,9]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,8,5,9]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,2,6,5,1,9,8,7]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,9,8,2]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[5,3,4,2,1,7,6,9,8]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,6,5,4,3,9,8,2]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,6,9,8,7,3]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,4,9,7,8,6,5]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,9,7,8,6,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,1,9,7,6,5,8,4]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,6,2,7,9,8]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[2,8,4,5,6,7,3,1,9]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[7,3,4,5,6,2,8,1,9]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,8,7,9]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,5,4,6,1,8,7,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,7,6,8,1,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,7,6,1,9,8]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,1,7,6,9,8]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[5,2,4,3,6,1,8,7,9]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,7,4,6,5,8,1,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,7,6,1,8,9]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,5,4,2,7,6,9,8]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[2,7,4,6,5,3,1,8,9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[2,8,4,5,3,6,7,1,9]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[2,7,4,5,3,6,1,8,9]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[2,6,4,5,3,1,7,8,9]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,3,8,6,5,4,7,1,9]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,3,7,6,5,4,1,8,9]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,8,5,4,6,7,1,9]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,7,5,4,6,1,8,9]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,6,5,4,1,7,8,9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,4,8,5,6,7,1,9]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,4,7,5,6,1,8,9]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,4,6,9,8,7,5]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,7,8,1,9]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,8,1,9]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,5,8,7,6,4,9]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,3,8,7,6,5,4,2,9]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,6,8,7,2,9]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,7,9,8]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,9,5,4,6,7,8,3]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,1,6,8,7,9]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,5,7,8,6,9]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,8,5,9]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,6,7,8,4,9]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,8,3,9]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,6,8,9,7]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,5,7,8,9,6]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[5,2,3,4,6,1,7,8,9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[6,2,3,4,5,7,1,8,9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,2,3,4,5,6,8,1,9]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,3,5,4,2,1,7,8,9]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,4,9,8,7,6,5]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,3,8,7,6,5,4,1,9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>[6,5,4,3,2,8,7,1,9]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,9,4,5,6,7,3,8,2]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,4,7,6,8,5,9]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,3,7,5,6,4,8,9]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,8,6,5,7,4,9]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,2,5,4,3,1,9,8,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,2,1,7,8,9,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,4,3,2,1,8,7,9,6]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,6,8,7,9,2]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,2,8,7,6,5,4,1,9]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,9,4,5,6,3,7,8,2]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,1,6,5,4,9,8,7,3]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,5,4,3,1,9,8,7,6]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,8,7,6,1,9]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,6,5,4,8,9,7]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,8,3,9]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,5,4,8,7,9,6]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,5,8,7,9,4]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,8,7,9,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,8,7,9,3]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,3,6,8,7,9,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,8,5,7,6,9,4]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,6,3,5,4,8,7,9,2]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,8,7,9,3]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,3,1,6,8,7,9,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,4,6,5,3,8,9,7]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,4,9,7,6,8,5]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,9,6,5,7,8,4]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,4,3,2,1,6,8,9,7]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,6,8,9,7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,3,4,5,2,1,9,8,7]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[5,3,4,2,6,7,8,1,9]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,9,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,5]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,2,9,5,6,7,8,4]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[8,3,4,2,5,7,6,1,9]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,5,9,7,8,6]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[4,2,3,1,5,6,8,7,9]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,4,7,5,6,3,8,9]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[5,2,3,4,1,7,6,8,9]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,7,1,8,9]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,9,5]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,9,4]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,4,7,8,9,6]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,3,6,5,8,7,4,9]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,6,5,3,8,7,9]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,2,6,5,7,4,8,9]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,6,5,2,7,8,9]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,9,5]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,2,8,9]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,5,1,7,9,8,6]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,1,5,9,6,8,7,4]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,9,4,6,8,7,5,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,6,5,1,7,8,9]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,6,5,7,9,8,4]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,5,9,6,8,7,2]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,3,8,7,6,5,4,9,2]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,6,3,7,9,8]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,2,4,3,1,9,8,7,6]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,3,1,9,8,7,6,5]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,3,2,4,5,6,7,1,9]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,6,7,9,8,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8,9]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,7,6,5,4,9,8,2]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,9,3,6,5,4,8,7,2]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,7,6,4,5,3,2,9,8]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,1,8,7,5,6,4,9,3]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,2,8,7,5,6,4,3,9]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,7,6,4,5,3,2,8,9]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,7,6,4,5,3,1,9,8]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,5,4,8,7,6,9,3]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,3,4,2,1,9,7,8,6]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,4,7,6,9,8,5]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,9,8,3]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,2,6,5,7,4,9,8]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,5,9,8,7,6]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8,9]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,2,3,5,4,1,7,8,9]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,3,5,7,6,4,9,8]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,3,6,5,7,4,9,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,2,7,5,4,6,3,9,8]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,5,7,6,3,9,8]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,2,6,4,5,7,3,9,8]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,2,6,5,4,7,3,9,8]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,8,3,4,5,6,7,2,9]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,2,6,4,5,3,7,1,9]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5,7,8,6,9]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,5,7,8,6,9]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,6,8,7,9]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,9,5,6,7,8,4]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,3,2,4,5,6,1,8,9]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,5,6,4,9,8,7]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,1,6,5,4,7,3,9,8]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,6,3,9,8,7]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,5,3,9,8,7,6]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,2,6,4,5,3,9,8,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,7,5,4,3,6,2,9,8]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,6,4,3,5,2,9,8,7]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,5,3,4,2,9,8,7,6]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,9,6,7,8,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,8,5,9]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,8,4,9]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,5,1,8,7,6,9]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,4,1,7,6,8,5,9]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,6,5,7,8,4,9]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,8,3,9]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,8,2,9]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,4,1,8,6,7,5,9]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,1,7,5,6,8,4,9]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,4,1,8,7,6,5,9]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,1,6,4,5,7,8,3,9]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,7,6,5,8,4,9]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,5,3,4,6,7,8,2,9]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,1,6,5,4,7,8,3,9]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,8,2,9]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[6,2,4,3,5,1,8,7,9]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[8,2,4,3,6,5,7,1,9]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[7,2,4,3,6,5,8,1,9]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,4,5,7,6,9,8,2]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,5,7,6,9,8,2]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,5,7,6,1,9,8]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,5,7,6,9,8,3]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,8,3,4,5,7,6,2,9]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,3,2,1,8,7,6,9,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,5,3,4,2,6,7,8,9]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,5,9,8,7,6]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[4,3,2,6,5,1,8,7,9]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,3,2,5,4,1,8,7,9]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,6,3,5,4,1,8,7,9]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[5,3,2,4,6,1,8,7,9]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,5,3,4,6,1,8,7,9]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,7,3,4,5,6,2,9,8]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,2,3,4,5,1,7,9,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,2,3,5,6,7,1,8,9]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,3,7,4,5,6,8,1,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,4,6,5,7,8,1,9]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,7,3,8,9]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,1,8,7,6,5,4,9]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,2,3,1,8,7,6,5,9]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,3,4,2,1,8,7,6,9]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[6,5,3,4,2,1,8,7,9]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,4,1,8,7,6,5,9]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[5,3,2,4,1,8,7,6,9]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,4,2,8,7,6,5,9]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,3,5,2,1,8,7,9]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,5,3,4,2,8,7,6,9]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,6,4,5,3,2,8,7,9]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,1,7,8,9,6]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[6,2,3,4,5,1,8,7,9]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,9,4,3,5,7,8,6,2]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,5,7,8,9,6]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,6,9,8,7,2]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,5,9,6,7,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,6,5,7,3,9,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,4,6,5,3,8,7,9]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[6,2,4,3,5,8,7,1,9]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,8,4,6,5,7,1,9]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,4,6,5,7,8,3,9]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,4,1,6,8,7,5,9]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,4,6,5,1,8,7,9]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,6,9,7,8,3]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,8,7,5,6,4,9,2]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,7,6,5,1,8,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,6,7,1,9,8]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,4,7,9,8,6]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,5,7,6,9,8,4]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,9,8,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,9,8,3]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,4,3,7,6,9,8,5]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,2,5,9,7,6,8,4]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,3,7,5,4,6,9,8,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,4,1,7,6,9,8,5]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,3,7,6,8,5,9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,4,6,5,7,1,8,9]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,3,5,4,6,1,7,8,9]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,9,7,8,6,4]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,9,4,3,6,7,8,5,2]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,9,5,4,6,7,3,8,2]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,9,4,3,6,8,7,5,2]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[3,2,1,5,9,6,8,7,4]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,7,3,4,5,6,9,8,2]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,1,6,5,4,8,7,3,9]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[5,3,2,4,1,7,6,9,8]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,7,5,6,4,9,8]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,6,5,7,2,9,8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[7,3,4,5,2,6,1,8,9]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[8,3,4,5,2,6,7,1,9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,3,8,5,7,6,1,9]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,9,5,6,8,7,4]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,5,3,4,1,9,8,7,6]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,5,4,6,8,7,1,9]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[5,3,2,4,6,8,7,1,9]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,9,8,2]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,3,2,4,6,5,8,1,9]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,4,9,6,8,7,5]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,1,7,4,6,5,8,3,9]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,7,6,2,9,8]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,7,6,8,2,9]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,5,4,6,2,8,7,9]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,8,7,9]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,3,7,5,4,6,2,9,8]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,4,9,7,6,8,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,7,6,8,9,2]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,5,4,6,2,9,8,7]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,4,2,7,6,8,5,9]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,5,4,6,3,8,7,9]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,3,9,5,4,7,6,8,2]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,9,5,7,6,4,8,2]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[6,3,4,5,2,1,7,8,9]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,6,4,5,7,1,9,8]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,5,4,6,1,9,8,7]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,7,6,8,5,9]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,4,6,3,8,7,9]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,5,7,6,4,9,8]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,5,7,6,3,8,9]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,7,9,8]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,8,5,6,4,7,1,9]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,4,8,5,6,7,1,9]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[4,3,2,8,5,6,7,1,9]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,7,5,6,4,1,8,9]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,4,7,5,6,1,8,9]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[4,3,2,7,5,6,1,8,9]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[7,5,4,3,2,6,1,8,9]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,6,1,7,8,9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[6,2,3,4,5,7,8,1,9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,2,3,4,5,7,1,9,8]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,9,3]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,9,5,4,6,7,8,3]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[7,2,5,4,6,3,8,1,9]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[5,2,4,3,7,6,8,1,9]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,5,3,4,7,6,2,9,8]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,5,2,7,9,8,6]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,5,7,9,8,6]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,5,7,9,8,6]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,2,4,5,7,6,3,1,9]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[8,3,4,5,2,7,6,1,9]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,2,7,5,6,4,3,8,9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[7,4,3,5,2,6,8,1,9]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[5,3,2,4,6,1,8,9,7]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,4,1,8,6,7,9,5]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,1,8,5,6,4,7,9,3]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,8,5,4,6,3,7,9,2]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,8,6,5,7,9,4]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1,8,7,9,6]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[6,3,4,2,5,7,1,9,8]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,4,1,6,8,7,9,5]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,8,4,6,5,7,9,3]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,8,4,5,6,3,7,9,2]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,8,6,5,7,9,4]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,6,5,7,1,9,8]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[5,2,3,4,1,7,6,9,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,6,8,7,5,9]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,7,3,4,5,6,8,2,9]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,9,3,6,5,4,7,8,2]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,7,6,5,4,8,9,2]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,8,7,9]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,5,8,7,9,6]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,9,5]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,3,8,5,4,7,6,9,2]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,3,6,5,4,7,2,9,8]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6,9,8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[7,3,5,4,2,6,1,9,8]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[6,3,4,5,2,7,1,9,8]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6,9,8]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,8,7,9]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,6,9,7,8,4]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1,9,7,8,6]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,5,9,7,8,6]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,5,9,7,8,6]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,5,7,6,1,9,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,6,5,1,8,9,7]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,4,8,6,7,5,9,2]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,3,8,5,6,7,4,9,2]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[7,4,3,2,5,6,8,1,9]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]=>[6,4,3,5,2,7,8,1,9]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,7,8,1,9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,8,1,9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[7,4,3,5,2,6,1,8,9]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]=>[7,4,3,2,5,6,1,8,9]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[6,4,3,5,2,7,1,8,9]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[6,4,3,2,5,7,1,8,9]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]=>[6,4,3,5,2,1,7,8,9]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[6,4,3,2,5,1,7,8,9]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,9,5,4,7,8,6,3]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[7,3,6,4,5,2,8,1,9]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,6,5,4,1,8,9,7]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,6,9,8,7,5]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,7,6,5,1,9,8]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[2,6,5,4,3,7,1,9,8]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,4,7,6,5,8,9,3]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,6,9,8,7,3]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,1,5,4,8,7,6,9,3]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,1,7,6,5,4,8,9,3]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,5,9,8,7,6,3]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,2,3,1,9,6,7,8,5]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,3,7,4,6,5,2,9,8]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,4,9,6,8,7,2]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,4,6,8,9,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[6,4,3,2,5,1,8,7,9]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[5,3,4,2,6,1,8,7,9]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[6,3,4,2,5,7,1,8,9]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,9,6,5,7,4,8,2]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,9,4,7,6,8,5,2]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,2,7,5,4,6,8,3,9]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[2,8,5,4,6,3,7,1,9]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[5,3,4,2,6,1,8,9,7]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1,7,8,9,6]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,9,5]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,3,5,4,1,7,6,9,8]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6,9,8]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,7,3,4,6,5,2,8,9]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,6,3,5,4,2,7,8,9]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,6,9,7,8,4]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,5,9,7,8,6,3]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,9,8,6,7,5,2]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[2,5,4,3,1,8,7,6,9]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,4,6,5,3,9,8,7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[2,5,4,3,7,6,1,8,9]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,4,7,9,8,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,8,7,3,9]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,2,3,1,7,6,5,9,8]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,2,1,4,5,7,8,6,9]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,5,8,7,6,9,3]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,3,6,5,4,2,8,9,7]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,4,6,5,2,8,9,7]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,4,1,9,8,7,6,5]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,5,1,9,8,7,6]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,4,3,2,6,1,9,8,7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[7,3,5,4,2,6,8,1,9]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[2,7,4,3,6,5,8,1,9]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,6,4,3,5,8,7,2,9]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,3,5,1,7,6,8,9]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,6,5,4,1,9,8,7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,4,3,2,6,5,1,9,8]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,1,9,6,5,8,7,4,3]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,3,8,4,5,6,7,2,9]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,6,8,9,7]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,5,1,8,7,9,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,6,2,9,8,7]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,5,2,6,9,8,7]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,7,4,5,6,3,9,8,2]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,6,9,8,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,5,3,4,2,7,9,8,6]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,5,7,9,8,6]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[2,7,6,4,5,3,8,1,9]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,4,3,5,1,6,8,7,9]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,3,7,5,6,4,1,8,9]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,9,4,6,5,3,7,8,2]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,9,4,5,3,6,7,8,2]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,9,4,8,7,6,5,2]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,9,4,5,8,7,6,2]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,9,4,6,7,8,5,2]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,5,6,4,3,2,1,10]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,10,9,8,6,7,5,4,3,2]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,8,7,5,4,6,3,2,1,10]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,4,6,5,3,2,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,10,9,8,6,5,7,4,3,2]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,10,9,8,5,7,6,4,3,2]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[9,8,6,5,4,7,3,2,1,10]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,8,7,4,5,6,3,2,1,10]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,4,7,6,5,3,2,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,10,9,7,6,5,8,4,3,2]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,10,9,8,5,6,7,4,3,2]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,10,9,5,8,7,6,4,3,2]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>[9,8,6,5,4,3,7,2,1,10]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,8,6,4,5,7,3,2,1,10]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,8,4,7,5,6,3,2,1,10]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,3,7,6,5,4,2,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,10,9,7,6,5,4,8,3,2]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,10,9,7,5,6,8,4,3,2]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,10,9,6,5,8,7,4,3,2]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,10,9,5,8,6,7,4,3,2]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,10,9,4,8,7,6,5,3,2]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[9,8,4,5,7,6,3,2,1,10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,3,8,7,6,5,4,2,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,10,8,7,6,5,4,9,3,2]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,10,9,6,5,7,8,4,3,2]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,10,9,5,7,6,8,4,3,2]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,10,9,5,6,8,7,4,3,2]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,10,4,9,8,7,6,5,3,2]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[9,8,5,4,3,7,6,2,1,10]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[9,8,4,5,6,7,3,2,1,10]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,8,4,3,7,6,5,2,1,10]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,2,8,7,6,5,4,3,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,10,8,7,6,5,4,3,9,2]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,10,9,6,5,4,8,7,3,2]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,10,9,5,6,7,8,4,3,2]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,10,9,4,6,8,7,5,3,2]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,10,3,9,8,7,6,5,4,2]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,7,6,5,4,3,2,9,1,10]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,9,8,7,6,5,4,3,1,10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,8,7,6,5,4,3,10,2]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,10,9,4,7,6,5,8,3,2]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,10,9,4,5,8,7,6,3,2]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,10,9,8,7,6,5,4,2]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]=>[8,7,6,4,5,3,2,9,1,10]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,4,5,3,2,1,10,9]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,10,9,8,6,7,5,4,3]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,3,10,9,8,6,7,5,4,2]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,6,9,8,10,7]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,10,2]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,6,10,8,9,7]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,4,5,9,7,8,10,6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,3,4,8,6,7,9,10,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,7,5,6,8,9,10,4]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,9,10,3]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,5,3,4,6,7,8,9,10,2]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,10,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,4,5,10,7,8,9,6]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,4,5,10,7,9,8,6]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,4,5,10,8,9,7,6]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,9,10,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,2,4,3,6,7,8,9,10,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,3,4,2,6,7,8,9,10,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,4,10,6,7,8,9,5]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,3,4,10,6,7,9,8,5]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,10,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,5,4,7,8,9,10,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,10,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,3,4,5,2,7,8,9,10,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,10,5,6,7,8,9,4]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,3,10,5,6,7,9,8,4]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,2,3,4,5,6,8,9,10,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,2,3,4,6,5,8,9,10,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[7,3,4,5,6,2,8,9,10,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,10,4,5,6,7,8,9,3]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,10,4,5,6,7,9,8,3]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,10,9,7,8,6,5]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[8,2,3,4,5,6,7,9,10,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[8,2,3,4,5,7,6,9,10,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,2,9,4,7,6,8,5,10,3]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,3,4,2,7,8,9,10,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[8,3,4,5,6,7,2,9,10,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,10,3,4,5,6,7,8,9,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,10,3,4,5,6,7,9,8,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[9,2,3,4,5,6,8,7,10,1]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[8,2,3,4,7,6,5,9,10,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[9,2,4,5,6,7,8,3,10,1]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,10,4,5,6,7,8,9,3,2]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[9,3,4,5,6,7,8,2,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,5,6,9,8,7,10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,9,8,10]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,4,5,9,8,7,6,10]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7,10,9]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,3,4,7,6,5,8,9,10]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,4,9,8,7,6,5,10]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,7,8,10,9]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,7,6,8,9,10]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,9,8,10]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,6,5,4,7,8,9,10]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,2,3,7,6,5,4,9,8,10]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,3,9,8,7,6,5,4,10]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,6,5,7,8,9,10]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7,10,9]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8,9,10]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,6,5,4,3,7,8,9,10]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3,10,9,8,7]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,2,7,6,5,4,3,8,9,10]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,2,8,7,6,5,4,3,10,9]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,2,9,8,7,6,5,4,3,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,8,10,9]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,6,7,9,8,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,7,10,9,8]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,2,4,7,6,5,8,10,9]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9,10]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,7,6,8,9,10]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,7,6,10,9,8]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7,10,9]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,6,5,4,10,9,8,7]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,3,2,7,6,5,4,8,9,10]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,2,10,9,8,7,6,5,4]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9,10]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,2,6,5,8,7,10,9]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5,10,9,8]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,3,2,10,9,8,7,6,5]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8,9,10]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,5,4,3,2,10,9,8,7,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,6,5,4,3,2,7,8,9,10]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,6,5,4,3,2,10,9,8,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,7,6,5,4,3,2,8,9,10]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,8,7,6,5,4,3,2,9,10]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,8,7,6,5,4,3,2,10,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,7,9,8,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,6,7,10,9,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,5,6,8,7,9,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5,6,9,8,7,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5,6,10,9,8,7]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,10,9,8,7,6]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8,9,10]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,1,3,7,6,5,4,8,10,9]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,9,8,7,6,5,4,10]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,3,10,9,8,7,6,5,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,5,6,8,7,10,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7,9,8,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,6,5,9,8,7,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,6,5,10,9,8,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,7,6,5,8,9,10]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5,10,9,8]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8,9,10]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,8,7,6,10,9]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,6,5,4,3,9,8,7,10]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[2,1,8,7,6,5,4,3,9,10]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,1,9,8,7,6,5,4,3,10]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,7,8,10,9]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,6,7,9,8,10]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,1,4,9,8,7,6,5,10]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9,10]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,9,8,10]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,1,5,4,7,6,10,9,8]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7,10,9]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,6,5,4,10,9,8,7]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,1,7,6,5,4,10,9,8]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,2,1,9,8,7,6,5,4,10]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,7,8,10,9]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,5,6,10,9,8,7]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5,9,8,7,6,10]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5,10,9,8]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,8,7,6,5,9,10]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[4,3,2,1,9,8,7,6,5,10]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,7,8,10,9]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[5,4,3,2,1,6,9,8,7,10]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,6,10,9,8,7]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,9,8,10]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,4,3,2,1,9,8,7,6,10]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[6,5,4,3,2,1,7,8,10,9]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[6,5,4,3,2,1,7,9,8,10]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,7,10,9,8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[6,5,4,3,2,1,9,8,7,10]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]=>[7,6,5,4,3,2,1,8,10,9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,6,5,4,3,2,1,9,8,10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[10,9,3,4,5,6,8,7,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,9,4,3,5,6,7,8,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[10,3,4,5,6,7,9,8,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,4,3,5,6,7,8,9,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,5,7,6,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[10,9,8,6,5,7,4,3,2,1]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,4,5,7,6,3,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[10,9,8,5,4,6,7,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,7,9,10,8]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,5,6,4,3,2,10,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,5,6,4,3,2,1]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,4,7,6,5,3,2,1]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,4,8,7,6,5,3,2,1]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,3,8,7,6,5,4,2,1]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,3,9,8,7,6,5,4,2,1]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,2,9,8,7,6,5,4,3,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,10,3,4,5,6,7,8,9,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,8,6,9,10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,9,6,10]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,9,10,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,9,10,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,10,1]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,10,9,4,5,6,7,8,3,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,7,10,9,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,6,10,8,9,7,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,10,7,8,9,6,1]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,4,10,6,7,8,9,5,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,10,5,6,7,8,9,4,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,10,4,5,6,7,8,9,3,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,3,4,5,6,7,8,9,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[10,8,7,6,5,4,3,2,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[10,8,7,6,5,4,3,9,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[10,9,7,6,5,4,3,8,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[10,9,7,6,5,4,8,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[10,9,8,6,5,4,7,3,2,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8,9,10]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8,9,10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,10,6,7,8,9,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,4,5,9,6,7,8,10,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,4,5,8,6,7,9,10,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,10,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>[9,8,7,4,5,6,3,2,10,1]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,10,9,8,5,6,7,4,3,1]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7,10,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,8,7,1,10,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,10,9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,8,7,9,1,10]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,6,5,7,1,9,8,10]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,9,8,10]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,10,9,8,7,6,5,4,1]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,10,9,8,7,6,5,1]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,10,9,8,7,6,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,10,9,8,7,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,10,8,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,10,7,8,9,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,10,5,6,7,8,9,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,10,4,5,6,7,8,9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,2,3,4,5,6,7,8,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,5,6,10,8,7,9,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,5,10,7,6,8,9,1]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,4,10,6,5,7,8,9,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,10,5,4,6,7,8,9,1]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,10,4,3,5,6,7,8,9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,3,2,4,5,6,7,8,9,1]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,5,4,7,6,3,2,1]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[10,9,6,5,4,8,7,3,2,1]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[10,9,5,4,3,8,7,6,2,1]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[10,6,5,4,3,9,8,7,2,1]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[10,5,4,3,2,9,8,7,6,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,5,4,3,2,10,9,8,7,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,10,4,6,9,7,8,5,2]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,3,10,4,8,6,7,9,5,2]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,3,10,5,6,4,8,9,7,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,10,5,8,6,7,4,9,2]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,3,10,7,5,6,8,4,9,2]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,5,3,4,10,6,8,9,7,2]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,3,4,10,7,8,6,9,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,7,3,5,6,4,10,8,9,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,7,4,5,3,6,10,8,9,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,9,3,5,8,6,7,4,10,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,9,3,7,5,6,8,4,10,2]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,9,4,5,3,7,8,6,10,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,9,4,7,5,6,3,8,10,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,9,6,4,5,7,3,8,10,2]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,1,5,10,6,8,9,7,4]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,5,10,7,8,6,9,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,10,8,9,4]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,9,5,7,8,6,10,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,9,6,7,5,8,10,4]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1,7,10,8,9,6]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,1,9,7,8,10,6]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[4,2,3,5,1,7,10,8,9,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1,9,7,8,10,6]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[2,7,3,5,6,4,1,9,10,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[2,7,4,5,3,6,1,9,10,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,7,5,6,1,9,10,8]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[6,2,4,5,3,7,1,9,10,8]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,3,4,2,5,7,1,9,10,8]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[2,9,3,5,8,6,7,4,1,10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[2,9,3,7,5,6,8,4,1,10]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[2,9,4,5,3,7,8,6,1,10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[2,9,4,7,5,6,3,8,1,10]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[2,9,6,4,5,7,3,8,1,10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,3,9,5,7,8,6,1,10]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,2,3,9,6,7,5,8,1,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[6,2,4,5,3,9,7,8,1,10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[6,3,4,2,5,9,7,8,1,10]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[8,2,4,7,5,6,3,9,1,10]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[8,2,6,4,5,7,3,9,1,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,3,4,2,6,7,5,9,1,10]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,3,6,4,5,2,7,9,1,10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,5,3,4,6,2,7,9,1,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1,10]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[9,8,3,4,5,6,7,2,1,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,2,1,10]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,9,8,4,6,7,5,3,2,1]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,10,9,8,6,7,5,4,3,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[9,8,7,5,4,6,3,2,10,1]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,4,6,5,3,2,10,1]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2,10,9,8,6,5,7,4,3,1]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,10,9,8,5,7,6,4,3,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,8,10,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,9,3,4,5,6,7,8,2,1]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[10,9,5,4,6,7,8,3,2,1]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,10,9,6,7,8,5,4]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,10,6,7,8,9,5]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[10,9,8,5,6,4,7,3,2,1]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,10,9,4,5,6,7,8,3,1]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[2,10,9,5,6,7,8,4,3,1]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,10,9,8,6,7,5,4,3]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,10,9,7,8,6,5,4]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[7,6,5,4,3,2,10,9,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[10,7,6,5,4,3,2,9,8,1]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,3,9,8,6,7,5,4,2,1]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[10,3,9,8,6,5,7,4,2,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[10,3,9,7,6,5,8,4,2,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[10,3,9,7,6,5,4,8,2,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[2,8,7,6,5,4,3,9,10,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[2,3,7,6,5,4,8,9,10,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,9,10,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,10,3]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[10,9,8,5,6,7,4,3,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[10,2,3,4,5,6,7,9,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,6,8,7,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,5,6,9,8,7,10,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,10,7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[2,7,4,5,6,3,8,9,10,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,7,5,6,4,8,9,10,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,4,7,6,5,8,9,10,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,8,9,7,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,8,2,9,10]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,8,9,3,10]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,7,8,10,9]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,7,8,10,9]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,8,10,9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[10,9,4,5,6,7,8,3,2,1]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[10,9,8,4,5,6,7,3,2,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]=>[10,8,7,4,5,6,3,2,9,1]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[10,2,9,8,5,6,7,4,3,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[10,3,4,5,6,9,8,7,2,1]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[10,3,4,5,9,8,7,6,2,1]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[10,2,3,4,9,8,7,6,5,1]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,2,3,9,8,7,6,5,4,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,5,4,3,2,10,9,1]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,4,3,2,10,9,8,7,6,1]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,3,2,10,9,8,7,6,5,1]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,2,10,9,8,7,6,5,4,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[2,10,9,7,6,5,8,4,3,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[10,2,9,7,6,5,4,8,3,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[10,3,8,7,6,5,4,9,2,1]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[10,8,3,7,6,5,4,2,9,1]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,8,4,7,6,5,3,2,10,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[6,2,3,4,5,7,8,9,1,10]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,6,3,4,5,7,8,9,1,10]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,3,6,4,5,7,8,9,1,10]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,6,5,7,8,9,1,10]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,3,9,4,5,6,7,8,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[10,9,4,5,6,7,3,8,2,1]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,2,9,4,5,6,7,8,3,1]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[10,9,4,5,6,3,7,8,2,1]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[10,9,4,5,3,6,7,8,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[10,9,7,5,4,6,8,3,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,5,6,8,9,7,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,2,3,4,5,6,7,1,9,10]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,2,3,4,5,6,1,8,9,10]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[6,2,3,4,5,1,7,8,9,10]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8,9,10]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8,9,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,3,4,2,1,7,8,9,10]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,4,5,3,2,1,8,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,3,4,5,6,7,2,1,9,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[10,3,4,5,6,7,2,8,9,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[10,3,4,5,6,9,7,8,2,1]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,3,4,9,8,7,6,5,2,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,5,8,9,7,10]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7,10,9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[10,8,3,4,5,6,7,9,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[10,8,4,5,6,7,3,9,2,1]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[10,3,9,5,6,7,8,4,2,1]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,10,4,5,9,8,7,6,3,2]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,10,3,4,9,8,7,6,5,2]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,4,10,9,8,7,6,5,2]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,7,5,8,9,10]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,6,4,7,8,9,10]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9,10]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,3,4,2,1,10,9,8,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,2,10]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,2,7,8,9,10]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,6,3,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,6,8,10,9,7]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[10,9,3,4,5,7,8,6,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[9,8,3,4,5,6,7,2,10,1]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[10,9,3,4,6,7,8,5,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[10,8,3,4,5,6,7,2,9,1]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[10,9,3,5,6,7,8,4,2,1]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9,10]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[10,4,3,5,6,7,9,8,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,7,8,4,9,10]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,2,3,6,5,7,8,9,4,10]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,7,8,3,9,10]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,8,9,3,10]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,7,6,5,1,10,9,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,6,7,10,9,8,3]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,7,10,9,8,5]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,7,8,2,10,9]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,4,7,8,6,9,10]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>[8,7,5,4,6,3,2,1,10,9]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,10,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,9,8,1,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,7,6,1,9,8,10]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,9,8,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,9,1,10]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,6,5,3,7,8,9,10]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,6,5,2,7,8,9,10]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,6,5,1,7,8,9,10]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,10,5,4,6,7,8,9,3,2]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[2,10,6,5,4,7,8,9,3,1]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[2,3,10,6,5,4,7,8,9,1]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[10,2,3,7,6,5,4,8,9,1]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[9,3,4,5,8,7,6,2,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[9,3,4,5,6,8,7,2,1,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,7,9,8,10]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,1,6,8,9,7,10]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5,7,8,9,6,10]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,8,9,5,10]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,6,7,8,9,4,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,4,5,3,2,1,9,10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,9,10,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]=>[10,7,6,4,5,3,2,8,9,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]=>[10,7,6,4,5,3,8,9,2,1]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[10,9,6,4,5,3,7,8,2,1]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[10,9,6,4,5,7,8,3,2,1]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[10,9,5,4,8,7,6,3,2,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,7,6,5,4,3,10,9,8,2]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,10,7,6,5,4,3,9,8,2]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,4,3,9,5,6,7,8,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,4,5,8,7,9,6,10]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,10,4,5,6,7,8,9,3]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[10,5,4,3,9,8,7,6,2,1]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,5,3,4,6,7,8,9,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[10,2,3,4,5,6,8,9,7,1]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,3,4,2,5,6,7,8,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,7,9,8,10,1]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,3,2,9,8,7,6,5,4,1]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,2,1,10,7,6,9,8,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,4,3,2,1,10,8,7,9,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,4,3,2,1,10,7,9,8,6]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,2,1,10,7,6,5,9,8,4]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,8,10,9,2]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[10,8,7,5,6,4,3,2,9,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[10,8,7,5,6,4,3,9,2,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[10,9,7,5,6,4,3,8,2,1]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[10,9,7,5,6,4,8,3,2,1]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,9,4,8,6,7,5,3,2,1]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,9,3,8,6,7,5,4,2,1]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[10,2,9,8,6,7,5,4,3,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,10,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,10,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,10,7]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,10,5]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,10,3]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,9,8,10,2]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,9,8,10,4]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,4,7,9,8,10,6]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,6,4,5,3,2,7,8,9,10]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,6,4,5,3,7,8,9,10]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9,10]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,5,4,3,6,7,8,9,2,1]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,3,5,4,6,7,8,9,2,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[10,3,4,2,6,7,8,9,5,1]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,3,4,2,10,7,8,9,6,1]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[10,9,4,5,8,6,7,3,2,1]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,10,9,8,6,7,5,4,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,4,7,6,5,9,8,10,1]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,4,3,7,6,5,8,9,10,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,8,9,3,10]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,1,4,10,5,7,9,8,6,3]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,1,6,10,7,9,8,5]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,6,5,1,8,10,9,7]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,6,5,8,7,1,9,10]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,8,7,9,10,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,6,5,7,10,8,9,1]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,3,5,10,6,8,9,7,1]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,10,4,6,9,7,8,5,1]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[10,2,4,9,5,7,8,6,3,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,7,9,8,1,10]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,3,2,4,5,6,7,8,1,10]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[10,7,4,5,3,6,8,2,9,1]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,2,4,3,5,6,7,8,9,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,9,10,1]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[2,1,9,8,6,7,5,4,3,10]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,8,7,5,6,4,3,2,10,9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[10,2,3,4,5,7,8,9,6,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[10,2,4,5,6,7,8,9,3,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[10,2,3,4,5,6,9,8,7,1]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[10,2,3,4,5,9,7,8,6,1]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,10,9,2]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,10,9,4]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,5,4,8,7,10,9,6]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,4,5,7,8,9,10,6]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,3,4,6,8,7,5,10,9]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,3,4,7,6,8,5,10,9]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,3,5,7,6,4,9,8,10]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,3,6,5,7,4,9,8,10]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[2,9,8,7,6,5,4,3,10,1]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,9,3,4,5,6,7,8,2,10]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,2,1,4,5,6,8,9,7,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[8,2,3,4,5,6,7,10,9,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,10,4,5,6,7,8,9,1]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7,10,9]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,7,5,4,6,8,3,10,9]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,7,5,4,6,8,1,10,9]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,3,2,5,4,6,8,1,10,9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,4,3,5,2,6,8,1,10,9]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,7,6,8,1,10,9]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,9,7,6,8,10,5]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,9,7,6,8,10,5]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,9,7,6,8,10,1]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,9,7,6,8,10,3]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,9,7,6,8,10,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[9,3,2,5,4,7,6,8,10,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[9,4,3,5,2,7,6,8,10,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,3,2,6,5,7,4,8,10,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,4,3,6,5,7,2,8,10,1]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,9,5,4,7,6,8,10,3]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,9,5,4,7,6,8,10,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,6,4,3,5,7,2,8,10,1]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,9,6,5,7,4,8,10,3]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,9,6,5,7,4,8,10,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,10,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,2,4,6,1,9,8,10,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,10,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,10,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,7,5,4,6,9,8,10,3]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,7,5,4,6,9,8,10,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,3,2,5,4,6,9,8,10,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,4,3,5,2,6,9,8,10,1]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,10,5]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,7,6,9,8,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,7,1,9,8,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,8,9,7,10]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,7,8,9,6,10]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,8,9,5,10]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,8,9,4,10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,5,6,1,9,8,7,10]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,4,5,1,8,7,9,6,10]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,4,1,7,6,8,9,5,10]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,6,5,7,8,9,4,10]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,8,9,3,10]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,8,9,2,10]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,10,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[10,2,3,4,5,7,6,9,8,1]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,2,4,5,7,6,9,8,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,2,5,4,7,6,9,8,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,4,6,5,3,2,1,10,9]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[10,3,8,4,5,6,7,9,2,1]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[10,3,4,8,5,6,7,2,9,1]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[9,3,4,5,8,6,7,2,10,1]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[10,3,4,8,6,7,5,2,9,1]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[10,3,8,5,6,7,4,9,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[9,7,6,5,4,3,2,8,10,1]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]=>[8,6,5,4,3,2,7,9,10,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[7,5,4,3,2,6,8,9,10,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,4,3,2,5,7,8,9,10,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,3,2,4,6,7,8,9,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[9,3,4,5,6,7,2,8,10,1]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,6,3,4,5,7,2,8,10,1]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[10,2,9,8,6,5,7,4,3,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,8,7,6,5,4,3,10,1]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[10,9,8,4,6,5,7,3,2,1]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[10,9,4,7,6,5,8,3,2,1]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[10,9,3,7,6,5,4,8,2,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7,10,9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[10,3,4,5,6,7,8,2,9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[8,2,3,4,5,6,7,1,10,9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[9,8,4,5,6,7,3,2,10,1]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[3,2,9,8,7,6,5,4,10,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[2,8,7,6,5,4,3,10,9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[10,3,2,4,5,6,7,9,8,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7,10,9]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,3,1,9,8,7,6,5,4,10]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[4,2,3,1,9,8,7,6,5,10]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,3,4,2,1,9,8,7,6,10]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[6,5,3,4,2,1,9,8,7,10]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,6,4,5,3,2,1,9,8,10]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[2,10,9,6,5,7,8,4,3,1]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[2,10,9,5,4,6,7,8,3,1]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,10,5,4,6,7,8,9,3,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[9,3,2,4,5,6,7,8,10,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,6,7,8,1,10,9]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,9,3,5,8,6,7,4,2,10]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,4,10,6,8,9,7,5]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,9,5,8,6,7,4,10,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,8,4,7,5,6,3,9,2,10]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,4,6,10,8,9,7,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,3,5,9,7,8,6,2,10]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,3,7,5,6,4,2,8,10,9]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,6,4,5,3,2,7,9,8,10]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,10,4,8,6,7,5,9,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,9,3,7,5,6,4,8,2,10]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,9,7,8,6,10,5]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,3,9,7,5,6,4,8,10,2]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,8,6,4,5,3,7,9,2,10]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,10,4,6,5,7,9,8,2]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,9,3,5,4,6,8,7,2,10]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,2,4,7,6,8,10,9,5]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,9,5,4,6,8,7,10,2]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,8,4,3,5,7,6,9,2,10]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2,6,8,10,9,7]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,4,3,2,5,7,9,8,6,10]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,5,4,6,2,7,10,9,8]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,4,3,5,2,6,9,8,7,10]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,7,4,6,5,8,10,9,2]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,6,3,5,4,7,9,8,2,10]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,6,5,4,7,9,8,10,2]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,5,4,3,6,8,7,9,2,10]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,10,4,6,8,7,9,5,2]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,9,3,5,7,6,8,4,2,10]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,4,10,6,8,7,9,5]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,9,5,7,6,8,4,10,2]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,8,4,6,5,7,3,9,2,10]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,4,6,10,8,7,9,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,3,5,9,7,6,8,2,10]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,7,5,4,6,2,8,10,9]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,6,4,3,5,2,7,9,8,10]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,10,4,7,6,8,5,9,2]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,9,3,6,5,7,4,8,2,10]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,9,7,6,8,10,5]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,9,6,5,7,4,8,10,2]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,8,5,4,6,3,7,9,2,10]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[2,10,4,5,6,7,8,3,9,1]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,10,5,6,7,4,8,9,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,4,6,10,7,8,9,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,6,7,10,8,9,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,7,8,10,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,5,4,3,2,1,9,10,8]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[10,9,4,5,6,8,7,3,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,7,9,10,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,6,7,9,8,10,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,6,7,10,8,9,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7,10,9]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,5,10,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,10,9,7]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,4,3,6,8,7,9,5,10]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,1,4,6,5,7,3,9,8,10]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[2,9,8,7,5,6,4,3,10,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,8,7,5,6,4,3,2,9,10]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,2,9,8,6,7,5,4,3,10]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,10,9,6,8,7,5,4,3]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,2,3,10,9,8,7,6,5,1]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,3,4,2,10,9,8,7,6,1]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,5,3,4,2,10,9,8,7,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[7,6,4,5,3,2,10,9,8,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,4,5,3,2,10,9,1]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,4,8,5,7,6,3,2,1]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[10,9,4,8,5,6,7,3,2,1]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7,10,9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[9,2,6,5,4,3,8,7,10,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[9,2,4,3,6,5,8,7,10,1]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,10,9,5]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,10,9,3]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,1,10,4,5,7,6,8,9,3]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,2,4,5,9,8,7,10,1]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[8,2,3,5,4,6,7,1,10,9]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,10,9,5,4,6,7,8,3,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,10,3,5,9,6,8,7,4,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,7,9,10,8]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,1,7,8,10,9]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,3,4,5,2,1,7,8,9,10]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,9,8,10]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[7,2,4,6,5,3,10,8,9,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[7,2,4,6,5,3,8,1,9,10]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[2,10,4,6,5,3,8,9,7,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[2,8,4,6,5,3,7,1,9,10]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,8,4,6,5,3,7,9,2,10]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,3,6,5,1,8,9,7,10]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,2,3,6,5,1,7,9,10,8]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[2,10,3,6,5,9,7,8,4,1]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,5,9,7,8,4,10]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[2,8,3,6,5,7,4,1,9,10]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,8,3,6,5,7,4,9,2,10]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,6,5,7,4,9,10,8]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,3,9,6,5,7,4,8,2,10]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,2,9,6,5,7,4,8,10,3]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[2,6,4,5,3,1,8,9,7,10]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[2,6,4,5,3,1,7,9,10,8]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,6,4,5,3,9,7,8,2,10]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,6,4,5,3,7,2,9,10,8]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[9,6,4,5,3,7,2,8,10,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,10,3,5,9,7,8,6,4,1]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,5,9,7,8,6,4,10]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,3,4,9,7,8,6,2,10]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,9,7,8,6,10,5]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,4,2,9,7,8,6,10,5]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[2,8,3,5,7,6,4,1,9,10]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,8,3,5,7,6,4,9,2,10]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,1,5,7,6,4,9,10,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,3,9,5,7,6,4,8,2,10]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,2,9,5,7,6,4,8,10,3]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,7,6,2,9,10,8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[9,5,3,4,7,6,2,8,10,1]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,4,7,6,10,8,9,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,4,2,7,6,10,8,9,5]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,3,9,4,7,6,8,5,2,10]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[9,3,4,2,7,6,8,5,10,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,10,7,6,8,5,9,3]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,3,10,7,6,8,5,9,1]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[10,2,3,4,9,6,7,8,5,1]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[10,2,3,9,5,6,7,8,4,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[7,2,3,4,5,6,10,9,8,1]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[6,2,3,4,5,10,9,8,7,1]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[5,2,3,4,10,9,7,8,6,1]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,3,10,9,6,7,8,5,1]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,10,9,5,6,7,8,4,1]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[2,10,4,8,6,5,7,3,9,1]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[2,10,4,6,5,9,7,8,3,1]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,10,4,3,8,7,6,5,9,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[2,10,4,7,5,6,9,8,3,1]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,10,4,3,9,6,8,7,5,1]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,10,3,5,6,8,7,4,9,1]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[2,10,3,5,6,4,9,8,7,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[2,10,5,4,3,7,8,6,9,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[2,10,3,6,5,7,8,4,9,1]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[2,10,7,5,4,6,3,9,8,1]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[2,10,5,4,8,6,7,9,3,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,10,3,7,6,5,4,9,8,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[2,10,6,4,5,8,7,9,3,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[2,10,3,8,5,7,6,9,4,1]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,4,10,6,8,7,5,9,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,4,10,6,5,9,8,7,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,4,10,5,7,8,6,9,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,2,4,10,7,6,5,9,8,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,2,4,10,5,8,7,9,6,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,6,10,8,7,9,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,3,2,4,6,10,7,9,8,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,2,4,3,6,10,8,7,9,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,6,10,7,9,8,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[7,3,5,4,2,6,8,10,9,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[7,3,2,6,5,4,8,10,9,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[7,2,4,5,3,6,8,10,9,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[7,4,3,2,6,5,8,10,9,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[7,2,5,4,6,3,8,10,9,1]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[9,3,7,5,4,6,2,8,10,1]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[9,3,5,4,8,6,7,2,10,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[9,3,2,7,6,5,4,8,10,1]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[9,3,6,4,5,8,7,2,10,1]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[9,3,2,8,5,7,6,4,10,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[9,2,4,5,7,6,3,8,10,1]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[9,2,4,5,3,8,7,6,10,1]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[9,4,3,2,6,7,5,8,10,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[9,2,5,4,6,7,3,8,10,1]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[9,6,4,3,5,2,8,7,10,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[9,4,3,7,5,6,8,2,10,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[9,5,3,4,7,6,8,2,10,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[9,2,7,4,6,5,8,3,10,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,4,3,5,2,7,6,9,8,1]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,3,5,10,7,6,9,8,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,3,5,8,7,6,10,9,2]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,5,6,8,7,10,9,2]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,8,10,9,2]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,3,5,9,6,8,7,10,2]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,3,5,1,6,8,7,10,9]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,4,5,3,6,8,7,10,9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,10,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]=>[7,6,5,4,3,2,10,8,9,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[6,5,4,3,2,10,8,9,7,1]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[5,4,3,2,10,9,7,8,6,1]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,2,10,9,7,8,6,5,1]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,3,6,10,7,9,8,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,10,9,7]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,8,7,3,10,9]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,1,4,8,5,7,6,3,10,9]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,5,10,7,9,8,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,1,4,8,5,7,6,10,9,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,1,4,10,5,7,6,9,8,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,5,8,10,9,7]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,8,7,5,10,9]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,10,9,5]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7,10,9]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[2,6,3,5,4,1,8,10,9,7]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,8,5,7,6,1,10,9]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[2,6,3,5,4,8,7,1,10,9]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[2,8,3,5,4,7,6,1,10,9]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[2,8,3,5,7,6,4,1,10,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,5,10,7,9,8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,3,8,5,7,6,10,9,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,3,10,5,7,6,9,8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,3,10,5,7,9,8,6,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,10,9,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,10,7,9,8,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[2,8,3,5,4,7,6,10,9,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[2,8,3,5,7,6,4,10,9,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,10,3,5,4,7,6,9,8,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,10,3,5,4,7,9,8,6,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,10,3,5,7,6,4,9,8,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,10,3,5,7,6,9,8,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,10,3,5,9,6,8,7,4,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,9,8,10]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,7,6,2,9,8,10]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,9,8,2,10]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,5,4,7,6,8,2,10,9]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,5,4,6,2,8,7,10,9]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,3,7,5,4,6,2,9,8,10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[9,2,3,4,5,6,8,7,1,10]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,10,9,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,7,1,9,10,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,7,8,9,1,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,1,4,10,5,7,8,9,6,3]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,1,4,10,6,7,8,5,9,3]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,1,9,4,6,7,8,5,10,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[2,1,9,5,6,7,4,8,10,3]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,6,5,10,7,8,9,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,4,9,6,5,7,8,10,1]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,8,4,5,7,6,9,10,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,3,2,4,5,8,7,9,10,1]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,9,4,6,7,8,5,1,10]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,9,5,6,7,4,8,1,10]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[9,3,2,4,6,5,7,8,1,10]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[8,3,2,5,6,7,4,9,1,10]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,4,3,5,6,2,7,9,1,10]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,10,7,8,9,5]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,4,3,9,6,7,8,10,5]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,8,7,9,10,3]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,4,9,6,7,8,3,10]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,2,8,5,4,6,7,9,3,10]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,6,5,2,8,9,10,7]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,3,4,7,6,5,8,9,2,10]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,5,8,9,10,7]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,8,4,5,7,6,2,9,10]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,6,3,4,5,8,7,2,9,10]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,6,8,7,1,9,10]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,6,3,4,5,1,8,7,9,10]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[5,2,3,4,6,1,8,7,9,10]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,3,10,4,6,7,9,8,5,2]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,3,10,5,6,7,4,9,8,2]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,10,3,4,6,5,7,9,8,2]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,8,3,5,6,7,4,10,9,2]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,8,4,5,6,3,7,10,9,2]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,4,10,6,7,9,8,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[2,3,8,5,4,6,7,10,9,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,7,3,4,6,5,8,10,9,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,2,3,4,7,6,8,10,9,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[2,8,3,5,6,7,4,1,10,9]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[2,8,4,5,6,3,7,1,10,9]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,2,4,5,6,3,8,1,10,9]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,3,4,5,2,6,8,1,10,9]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,10,4,9,8,7,6,5,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[8,3,7,6,5,4,2,10,9,1]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3,2,10,6,9,8,7,5,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[7,6,3,5,4,2,10,9,8,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,5,6,9,7,8,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,5,6,10,7,9,8,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[10,3,4,5,6,2,7,8,9,1]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,6,3,7,8,9,10]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,6,4,7,8,9,10]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,2,4,3,6,5,7,9,1,10]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[10,2,9,4,8,6,7,5,3,1]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[10,2,9,4,7,6,8,5,3,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,2,5,4,6,3,8,1,10,9]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[10,3,4,5,9,7,8,6,2,1]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[10,3,4,9,6,7,8,5,2,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[7,3,4,5,6,2,10,8,9,1]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,3,4,5,2,10,9,8,7,1]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,10,9,6,7,8,5,4,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,7,8,10,9,3]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,7,8,10,9,4]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,6,7,8,10,9,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,8,10,9,6]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[9,8,3,4,5,7,6,2,1,10]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[10,9,6,4,5,8,7,3,2,1]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]=>[10,9,5,4,8,6,7,3,2,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,6,7,10,9,8,2]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[9,3,8,4,5,6,7,2,1,10]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[9,7,3,4,5,6,8,2,1,10]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,10,4,9,5,6,7,8,3,2]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,10,8,4,5,6,7,9,3,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,10,5]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,5,8,9,10,7]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[10,2,3,4,5,7,6,8,9,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[10,2,3,4,5,7,8,6,9,1]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[10,2,3,4,5,8,7,6,9,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[10,2,3,4,5,7,9,8,6,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,2,3,4,5,7,8,10,9,1]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[10,6,3,4,5,7,8,9,2,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,6,4,5,7,8,9,10,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,9,10,1]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,10,4,7,6,8,9,5,3]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,1,10,5,6,8,7,4,9,3]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,6,5,10,8,9,7]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[8,2,5,4,6,7,3,1,10,9]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[8,3,4,6,5,2,7,1,10,9]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,4,10,9,8,7,6,5,1]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,2,3,5,10,9,7,8,6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,6,10,9,8,7,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,3,4,2,7,10,8,9,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]=>[7,6,5,4,3,2,8,10,9,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[10,7,3,4,5,6,9,8,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[10,7,3,4,5,6,8,9,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,2,3,4,5,6,7,9,1,10]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,10,4,8,7,6,5,9,3,2]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,10,3,8,7,6,5,4,9,2]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,3,9,8,7,6,5,4,10,2]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,9,8,10]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,4,3,2,5,6,7,8,9,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,9,5,4,7,6,8,2,10]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,10,5,4,7,6,9,8,2]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,3,8,5,4,7,6,9,2,10]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,6,5,4,7,2,9,8,10]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,9,8,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,6,7,9,8,10,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,6,7,10,8,9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[10,2,3,4,5,6,8,7,9,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[10,4,3,6,5,7,2,8,9,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[9,3,2,6,5,7,8,4,10,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[10,4,3,5,2,7,8,6,9,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[10,3,2,5,4,7,8,9,6,1]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[3,2,9,7,5,6,4,8,10,1]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[3,2,10,5,7,6,4,8,9,1]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[9,3,2,4,7,6,8,5,10,1]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,2,9,4,8,6,7,5,10,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[10,4,3,5,6,2,8,7,9,1]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[10,3,2,5,6,4,8,9,7,1]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,10,5,6,8,7,4,9,1]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[10,3,2,4,6,8,7,9,5,1]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,10,4,6,9,7,8,5,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[2,9,6,5,4,7,3,8,10,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[2,10,5,4,3,7,6,8,9,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,4,3,9,7,8,6,10,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[2,10,5,4,3,6,8,7,9,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,4,3,10,6,8,9,7,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,3,9,7,6,5,8,10,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,6,5,10,8,9,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[2,9,3,7,6,5,4,8,10,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[2,7,3,6,5,4,10,8,9,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,9,8,7,10,1]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[9,2,4,3,5,8,7,6,10,1]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[2,6,4,5,3,9,8,7,10,1]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[9,2,3,5,4,8,7,6,10,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[2,9,3,5,8,7,6,4,10,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[8,5,3,4,6,2,7,10,9,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[10,3,5,4,6,2,7,9,8,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[8,2,5,4,6,7,3,10,9,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[10,3,4,2,6,7,5,9,8,1]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[10,2,4,3,6,7,9,8,5,1]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[2,8,6,4,5,3,7,10,9,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[2,10,4,6,5,3,7,9,8,1]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[8,2,3,6,5,7,4,10,9,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[2,8,3,7,5,6,4,10,9,1]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,4,5,2,7,6,9,8,1]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[10,2,4,5,3,7,9,8,6,1]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,10,4,5,7,6,3,9,8,1]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[10,2,3,5,7,6,9,8,4,1]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,10,9,7,6,5,8,4,3]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,10,7]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[4,2,3,5,6,7,10,8,9,1]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[10,3,9,4,5,6,8,7,2,1]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,1,9,7,5,6,8,4,10,3]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,4,5,8,6,7,9,10,3]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,4,10,6,9,7,8,5,3]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[8,3,2,6,5,4,7,9,10,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[6,3,2,5,4,7,10,8,9,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,2,4,10,5,8,7,6,9,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[9,3,2,6,5,7,8,4,1,10]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[8,6,4,3,5,7,2,9,1,10]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,7,5,6,8,9,1,10]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[3,2,9,5,8,6,7,4,1,10]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[9,4,3,5,7,6,2,8,1,10]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,4,3,8,6,7,9,10,5]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,3,6,7,10,8,9,5]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,10,5,4,8,7,6,9,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,2,7,5,4,6,8,9,3,10]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,5,4,6,9,7,8,3,10]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,6,3,5,4,2,10,8,9,7]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,9,3,7,6,5,4,8,2,10]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[4,2,3,1,9,7,6,8,5,10]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,5,3,4,6,8,7,2,9,10]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,4,8,5,7,6,2,9,10]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[8,2,5,4,3,7,6,1,9,10]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,2,3,5,6,1,8,7,9,10]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,3,6,4,5,1,8,7,9,10]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,10,3,6,5,7,9,8,4,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,8,6,4,5,7,3,10,9,2]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,4,7,5,6,8,10,9,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,3,10,5,9,6,8,7,4,2]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,10,4,5,7,6,3,9,8,2]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[7,2,5,4,3,6,8,10,9,1]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,2,3,5,10,7,6,9,8,1]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,10,4,7,6,5,9,8,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,5,3,4,6,2,8,1,10,9]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,3,6,4,5,7,8,1,10,9]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,8,4,7,5,6,3,1,10,9]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,2,4,1,8,7,6,5,9,10]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,5,8,7,6,4,10,9]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,4,5,1,9,8,7,6,10]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,1,5,8,7,6,4,10,9]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[4,2,3,1,5,9,8,7,6,10]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,5,3,4,1,9,8,7,6,10]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,1,4,6,9,8,7,10,5]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[4,2,3,1,5,9,8,7,10,6]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,5,8,7,6,1,10,9]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,4,5,1,9,8,7,10,6]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,3,4,8,7,6,1,10,9]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[3,2,4,1,8,7,6,9,10,5]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,3,7,6,5,1,9,10,8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[6,4,3,5,2,1,7,9,8,10]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[2,7,5,4,6,3,1,9,8,10]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[6,4,3,5,2,1,7,9,10,8]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[2,7,5,4,6,3,8,1,10,9]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[6,4,3,5,2,7,1,9,10,8]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,1,3,10,6,5,7,9,8,4]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,10,6,5,7,9,8,4]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,1,3,10,6,7,5,9,8,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,10,6,7,5,9,8,4]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[9,4,3,2,5,7,6,8,1,10]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>[9,3,5,4,2,7,6,8,1,10]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[9,4,3,2,5,7,8,6,1,10]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[9,3,5,4,6,2,8,7,1,10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[9,4,3,5,2,7,8,6,1,10]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,4,7,6,5,8,10,9,1]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[5,3,2,4,8,7,6,9,10,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,4,8,5,7,6,10,9,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,3,8,5,7,6,10,9,1]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[5,3,4,2,6,9,8,7,10,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[6,2,4,5,3,9,8,7,10,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[4,3,2,5,10,6,8,7,9,1]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,10,8,7,9,1]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[8,2,4,3,5,7,6,10,9,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,3,2,4,5,10,8,7,9,1]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[8,2,4,5,3,7,6,10,9,1]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,3,2,4,10,7,6,8,9,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[7,3,4,2,6,5,10,8,9,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,4,6,5,3,2,9,10,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[10,7,3,6,5,4,2,8,9,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[10,3,7,6,5,4,8,9,2,1]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[10,2,9,6,5,4,7,8,3,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[10,7,6,5,4,3,9,8,2,1]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[10,9,6,5,4,3,8,7,2,1]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[10,8,7,5,4,6,3,2,9,1]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]=>[10,8,7,4,6,5,3,2,9,1]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[10,9,6,4,5,7,3,8,2,1]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[2,10,7,5,4,6,8,3,9,1]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[2,10,3,8,6,5,7,9,4,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[2,10,3,5,9,7,6,8,4,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,2,3,4,5,7,6,1,9,10]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,2,3,4,6,5,1,8,9,10]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,2,3,5,4,1,7,8,9,10]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8,9,10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,4,5,7,10,8,9,6]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,4,6,10,8,9,7,5]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,10,9,7,8,6,4]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,4,10,9,7,8,6,5,3]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[10,8,4,3,5,6,7,9,2,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[5,4,3,2,8,7,6,1,9,10]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,9,8,7,3,10]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,4,3,8,7,6,10,9,5]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7,10,9]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,8,6,5,7,4,10,9]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,5,4,10,8,9,7]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[10,9,4,5,8,7,6,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]=>[10,9,5,4,6,8,7,3,2,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,5,6,8,9,7,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,5,6,8,9,7,10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,6,7,9,8,10]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,4,10,9,8,7,6,5,3]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,4,10,6,8,7,9,5,3]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,10,4,6,8,7,5,9,3]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,5,3,10,8,7,9,6]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,10,6,8,7,9,5]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,9,5,8,7,6,10,3]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,6,5,9,8,7,10,4]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,2,6,9,8,7,10,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,2,3,7,6,5,9,8,10,4]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,6,5,9,8,10,7]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,1,4,10,6,8,7,9,5]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,9,8,7,10,5]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,6,5,9,8,10,7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,5,3,4,1,6,9,8,10,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1,6,9,8,10,7]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,3,9,4,6,8,7,5,2,10]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,2,9,4,6,5,8,7,3,10]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,5,3,4,9,6,8,7,2,10]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,6,4,5,2,9,8,7,10]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,6,5,9,8,7,10]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,1,5,9,6,8,7,4,10]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,5,6,4,9,8,7,10]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,5,3,4,1,7,9,8,6,10]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[4,2,3,5,1,7,9,8,6,10]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,7,3,5,6,4,2,9,8,10]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,2,7,5,4,6,3,9,8,10]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,3,1,7,5,6,4,9,8,10]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,6,5,4,7,3,9,8,10]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,3,4,1,7,6,9,10,8]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,6,9,10,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,7,8,10,9,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,7,8,10,9,1]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[9,6,3,5,4,7,2,8,10,1]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[9,3,5,4,7,6,2,8,10,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,3,5,4,6,2,7,9,1,10]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,10,4,5,6,7,8,9,2]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,9,6,4,5,7,3,8,10,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7,10,9]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7,10,9]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,8,3,4,5,6,7,10,9,2]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,5,6,2,8,10,9,7]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,5,2,6,8,10,9,7]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,5,6,8,10,9,7]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,5,6,8,10,9,7]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[10,2,8,7,6,5,4,3,9,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[8,3,4,5,6,7,2,10,9,1]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,10,5,6,7,8,9,4,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,4,9,7,8,10,6]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,7,5,6,4,9,10,8]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,9,5,7,8,6,10,4]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,3,2,9,6,7,5,8,10,4]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,6,9,10,8]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,2,9,7,8,10,6]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,7,3,5,6,4,2,9,10,8]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,7,4,5,3,6,2,9,10,8]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,10,8]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,4,9,7,8,10,6]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,3,1,7,5,6,4,9,10,8]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[2,9,3,5,8,6,7,4,10,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,9,3,7,5,6,8,4,10,1]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[2,9,4,5,3,7,8,6,10,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[2,9,4,7,5,6,3,8,10,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,3,9,5,7,8,6,10,1]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,2,3,9,6,7,5,8,10,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[6,2,4,5,3,9,7,8,10,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,3,4,2,5,9,7,8,10,1]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[8,2,4,7,5,6,3,9,10,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[8,2,6,4,5,7,3,9,10,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[8,3,4,2,6,7,5,9,10,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[8,3,6,4,5,2,7,9,10,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[8,5,3,4,6,2,7,9,10,1]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,10,4,9,8,7,6,5,2]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,10,4,6,9,8,7,5,2]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,10,3,4,5,6,7,9,8,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,5,6,4,3,2,1,11]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,6,7,5,4,3,2]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,5,7,6,4,3,2,1,11]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,11,10,9,7,6,8,5,4,3,2]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,6,8,7,5,4,3,2]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,5,6,7,4,3,2,1,11]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,11,10,9,7,6,5,8,4,3,2]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,11,10,9,6,7,8,5,4,3,2]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,5,8,7,6,4,3,2]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,10,5,9,8,7,6,4,3,2]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,10,4,9,8,7,6,5,3,2]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,4,10,9,8,7,6,5,3,2]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,11,3,10,9,8,7,6,5,4,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,11,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,11,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,11,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,11,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,11,4]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,11,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,11,10,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,6,7,11,9,10,8]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,10,11,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,4,5,6,11,9,10,8,7]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,9,10,11,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,10,11,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,10,11,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,2,3,4,5,6,8,9,10,11,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,5,11,10,8,9,7,6]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[8,2,3,4,5,6,7,9,10,11,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,10,11,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[11,10,3,4,5,6,7,9,8,2,1]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,10,4,3,5,6,7,8,9,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,5,7,6,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,6,5,7,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,6,7,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,5,6,4,3,2,11,1]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,11,10,9,8,6,7,5,4,3,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,11,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,8,11,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,7,11,8,9,10,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,11,7,8,9,10,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,11,6,7,8,9,10,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,11,5,6,7,8,9,10,1]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,11,4,5,6,7,8,9,10,1]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,11,3,4,5,6,7,8,9,10,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,3,4,5,6,7,8,9,10,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,7,6,5,4,3,2,1]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,1,11,10,9,8,7,6,5,4,3]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,11,10,9,8,7,6,5,4,3,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10,11]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,8,7,6,5,4,3,2,1,11,10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,8,7,9,10,11,1]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,5,6,7,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,5,6,7,10,9,8,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[2,10,9,8,7,6,5,4,3,1,11]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,10,9,8,7,6,5,4,3,11,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[11,10,9,7,6,5,8,4,3,2,1]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[11,9,8,5,6,7,4,3,2,10,1]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[11,2,10,9,6,7,8,5,4,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10,11]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,11,10,8,9,7,6,5]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,3,4,10,9,8,7,6,5,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[11,3,4,5,6,7,8,9,10,2,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]=>[11,10,9,7,5,6,8,4,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,10,8,11]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,7,6,5,4,3,2,8,9,10,11]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,4,5,3,2,1,8,9,10,11]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,5,8,7,10,11,9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[11,10,4,5,6,7,8,3,9,2,1]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[11,10,3,5,6,7,8,9,4,2,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1,11]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,11,3,4,5,6,7,8,9,10,2]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1,10,11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[10,9,3,4,5,6,7,8,2,1,11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,11,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,2,3,4,5,6,7,8,9,11,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,5,4,3,2,1,11,10,9,8,7]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,10,11,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,10,3,4,5,6,7,8,9,2,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,7,8,9,4,10,11]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,3,6,5,7,8,9,10,4,11]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,10,9,8,7,6,5,4,3,2,11]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[10,9,4,5,6,7,8,3,2,1,11]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,11,10,5,6,7,8,9,4,3,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,4,5,6,9,7,8,10,11,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,6,11,10,9,8,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,7,9,8,10,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[11,3,4,5,6,7,10,8,9,2,1]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[11,5,3,4,6,7,8,9,10,2,1]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,5,8,6,7,4,3,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,11,10,9,8,7,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10,11]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[2,3,4,8,7,6,5,10,9,11,1]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[2,4,3,8,7,6,5,9,10,11,1]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,11,10,4,5,6,7,8,9,3,2]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[11,3,2,4,5,6,7,8,9,10,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[11,2,3,4,5,6,7,8,10,9,1]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[11,2,4,5,6,7,8,9,10,3,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[11,2,3,4,5,6,7,10,9,8,1]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,5,8,7,6,4,3,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,8,7,5,10,9,11]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,7,6,8,5,10,9,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,5,6,7,9,10,8,11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,7,8,10,9,11]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,9,1,10,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,10,9,11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,9,10,8,11]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,8,9,10,7,11]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,7,8,9,10,6,11]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,8,9,10,5,11]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,8,9,10,4,11]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,8,9,10,3,11]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,10,2,11]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,11,10,9,8,7,6,5,4,3]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,11,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,10,11,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,10,11,1]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2,11,10,9,7,6,8,5,4,3,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,3,6,5,1,8,7,10,9,11]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,8,7,10,9,11]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,2,10,9,8,7,6,5,4,3,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[11,9,8,7,6,5,4,3,2,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[11,3,4,5,6,7,10,9,8,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[11,4,3,5,6,7,8,10,9,2,1]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,1,10,9,8,7,6,5,4,3,11]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,2,1,10,9,8,7,6,5,4,11]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,2,1,10,9,8,7,6,5,11]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,10,9,8,7,6,11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,5,4,3,2,1,10,9,8,7,11]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[7,6,5,4,3,2,1,10,9,8,11]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[8,7,6,5,4,3,2,1,10,9,11]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,11,10,9,6,7,8,5,4,3,1]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,11,10,9,5,6,7,8,4,3,1]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[2,11,10,5,6,7,8,9,4,3,1]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,11,10,4,5,6,7,8,9,3,1]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,11,4,5,6,7,8,9,10,3,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,9,1,11,10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,9,11,10]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,8,9,11,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,8,9,11,10,2]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,4,3,2,1,11,10,9,8,7,6]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,11,10,9,7,8,6,5,4,3]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,2,11,10,9,8,7,6,5,4,1]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,3,2,11,10,9,8,7,6,5,1]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[5,4,3,2,11,10,9,8,7,6,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,11,10,9,8,7,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[7,6,5,4,3,2,11,10,9,8,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[8,7,6,5,4,3,2,11,10,9,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[9,8,7,6,5,4,3,2,11,10,1]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,6,5,8,7,4,3,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[11,10,4,5,6,7,8,9,3,2,1]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,11,10,5,4,6,7,8,9,3,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[11,2,3,4,5,6,10,8,9,7,1]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[11,2,3,4,5,10,7,8,9,6,1]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,2,3,4,10,6,7,8,9,5,1]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,2,3,10,5,6,7,8,9,4,1]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[11,2,10,4,5,6,7,8,9,3,1]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,3,11,10,9,8,7,6,5,4,2]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0]=>[11,9,8,7,6,5,4,3,10,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]=>[11,10,8,7,6,5,4,3,9,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]=>[11,10,8,7,6,5,4,9,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]=>[11,10,9,7,6,5,4,8,3,2,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,8,7,10,9,11]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,8,7,6,5,11,10,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,9,7,10,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,8,9,10,7,11]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,7,3,4,5,6,8,9,10,11,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,7,4,5,6,8,9,10,11,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,7,5,6,8,9,10,11,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,10,11,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,2,1,11]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[11,3,4,5,6,7,8,9,2,10,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[11,3,4,5,6,7,8,10,9,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[11,3,4,5,6,10,8,9,7,2,1]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[11,3,4,5,10,7,8,9,6,2,1]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[11,3,4,10,6,7,8,9,5,2,1]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[11,3,10,5,6,7,8,9,4,2,1]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]=>[11,10,9,6,5,4,8,7,3,2,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[10,9,3,4,5,6,8,7,2,1,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,6,7,9,11,10,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,5,6,8,9,11,10,7]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,8,9,11,10,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,4,6,7,8,9,11,10,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,7,8,9,11,10,4]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,7,8,9,11,10,3]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[11,10,9,5,6,8,7,4,3,2,1]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]=>[11,10,9,6,5,7,8,4,3,2,1]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[2,10,9,8,7,6,5,4,3,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,4,5,6,10,7,8,9,11,1]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[11,3,4,5,6,2,7,8,9,10,1]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,4,5,6,3,7,8,9,10,1]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,3,5,6,4,7,8,9,10,1]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,3,4,6,5,7,8,9,10,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,7,8,9,11,10,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,9,8,7,6,5,4,3,2,11,10]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]=>[11,9,8,7,5,6,4,3,2,10,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]=>[11,9,8,7,5,6,4,3,10,2,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]=>[11,10,8,7,5,6,4,3,9,2,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0]=>[11,10,8,7,5,6,4,9,3,2,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]=>[11,10,9,7,5,6,4,8,3,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,11,10,9,7,8,6,5,4]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[11,10,4,5,6,7,9,8,3,2,1]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[11,10,5,4,6,7,8,9,3,2,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2,11,10,9,8,7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,6,11,10,9,8,7]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,7,6,5,4,3,11,10,9,8]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,7,6,11,10,9,8]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,9,8,7,6,11,10]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4,11,10,9,8]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,7,6,5,11,10,9,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,6,7,8,11,9,10,1]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,4,8,7,6,5,3,2,1]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,4,9,8,7,6,5,3,2,1]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,10,3,9,8,7,6,5,4,2,1]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[11,3,10,9,8,7,6,5,4,2,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1,12]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,10,9,8,6,7,5,4,3,2,1,12]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,12,11,10,9,7,8,6,5,4,3,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,12,10]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,12,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,9,12,11,10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,11,12,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,3,12,4,6,11,7,9,10,8,5,2]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,3,12,4,6,11,8,9,7,10,5,2]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,3,12,4,8,6,7,11,9,10,5,2]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,3,12,4,10,6,8,9,7,11,5,2]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,3,12,4,10,7,8,6,9,11,5,2]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,12,5,6,4,8,11,9,10,7,2]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,3,12,5,6,4,10,8,9,11,7,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,3,12,5,8,6,7,4,10,11,9,2]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,3,12,7,5,6,8,4,10,11,9,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,3,12,5,10,6,8,9,7,4,11,2]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,3,12,5,10,7,8,6,9,4,11,2]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,12,7,5,6,10,8,9,4,11,2]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,3,12,9,5,7,8,6,10,4,11,2]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,3,12,9,6,7,5,8,10,4,11,2]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,3,4,12,6,8,11,9,10,7,2]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,3,4,12,6,10,8,9,11,7,2]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,3,4,12,7,8,6,10,11,9,2]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,3,4,12,7,10,8,9,6,11,2]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,5,3,4,12,9,7,8,10,6,11,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,12,8,10,11,9,2]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,3,5,6,4,12,9,10,8,11,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,4,5,3,6,12,8,10,11,9,2]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,12,9,10,8,11,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,9,3,5,8,6,7,4,12,10,11,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,9,3,7,5,6,8,4,12,10,11,2]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,9,4,5,3,7,8,6,12,10,11,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,9,4,7,5,6,3,8,12,10,11,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,9,6,4,5,7,3,8,12,10,11,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,11,3,5,10,6,8,9,7,4,12,2]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,11,3,5,10,7,8,6,9,4,12,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,11,3,7,5,6,10,8,9,4,12,2]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,11,3,9,5,7,8,6,10,4,12,2]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,11,3,9,6,7,5,8,10,4,12,2]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,11,4,5,3,7,10,8,9,6,12,2]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,11,4,5,3,9,7,8,10,6,12,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,11,4,7,5,6,3,9,10,8,12,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,11,6,4,5,7,3,9,10,8,12,2]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,11,4,9,5,7,8,6,3,10,12,2]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,11,4,9,6,7,5,8,3,10,12,2]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,11,6,4,5,9,7,8,3,10,12,2]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,11,8,4,6,7,5,9,3,10,12,2]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,11,8,5,6,4,7,9,3,10,12,2]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,1,5,12,6,8,11,9,10,7,4]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,3,1,5,12,6,10,8,9,11,7,4]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,1,5,12,7,8,6,10,11,9,4]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[2,3,1,5,12,7,10,8,9,6,11,4]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[2,3,1,5,12,9,7,8,10,6,11,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,1,7,5,6,12,8,10,11,9,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,7,5,6,12,9,10,8,11,4]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,1,9,5,7,8,6,12,10,11,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,9,6,7,5,8,12,10,11,4]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[2,3,1,11,5,7,10,8,9,6,12,4]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,3,1,11,5,9,7,8,10,6,12,4]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,11,6,7,5,9,10,8,12,4]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[2,3,1,11,6,9,7,8,5,10,12,4]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,11,8,6,7,9,5,10,12,4]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,3,4,1,7,12,8,10,11,9,6]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,3,4,1,7,12,9,10,8,11,6]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,5,3,4,1,9,7,8,12,10,11,6]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,5,3,4,1,11,7,9,10,8,12,6]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,5,3,4,1,11,8,9,7,10,12,6]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,2,3,5,1,7,12,8,10,11,9,6]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,3,5,1,7,12,9,10,8,11,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,5,1,9,7,8,12,10,11,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,3,5,1,11,7,9,10,8,12,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,2,3,5,1,11,8,9,7,10,12,6]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,7,3,5,6,4,1,9,12,10,11,8]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,7,3,5,6,4,1,11,9,10,12,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,7,4,5,3,6,1,9,12,10,11,8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,7,4,5,3,6,1,11,9,10,12,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1,9,12,10,11,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,2,3,7,5,6,1,11,9,10,12,8]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,2,4,5,3,7,1,9,12,10,11,8]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,2,4,5,3,7,1,11,9,10,12,8]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,3,4,2,5,7,1,9,12,10,11,8]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1,11,9,10,12,8]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[2,9,3,5,8,6,7,4,1,11,12,10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[2,9,3,7,5,6,8,4,1,11,12,10]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[2,9,4,5,3,7,8,6,1,11,12,10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[2,9,4,7,5,6,3,8,1,11,12,10]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[2,9,6,4,5,7,3,8,1,11,12,10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,3,9,5,7,8,6,1,11,12,10]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,9,6,7,5,8,1,11,12,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,2,4,5,3,9,7,8,1,11,12,10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,3,4,2,5,9,7,8,1,11,12,10]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[8,2,4,7,5,6,3,9,1,11,12,10]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[8,2,6,4,5,7,3,9,1,11,12,10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[8,3,4,2,6,7,5,9,1,11,12,10]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[8,3,6,4,5,2,7,9,1,11,12,10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[8,5,3,4,6,2,7,9,1,11,12,10]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[2,11,3,5,10,6,8,9,7,4,1,12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[2,11,3,5,10,7,8,6,9,4,1,12]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[2,11,3,7,5,6,10,8,9,4,1,12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[2,11,3,9,5,7,8,6,10,4,1,12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[2,11,3,9,6,7,5,8,10,4,1,12]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[2,11,4,5,3,7,10,8,9,6,1,12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[2,11,4,5,3,9,7,8,10,6,1,12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[2,11,4,7,5,6,3,9,10,8,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[2,11,6,4,5,7,3,9,10,8,1,12]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[2,11,4,9,5,7,8,6,3,10,1,12]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[2,11,4,9,6,7,5,8,3,10,1,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[2,11,6,4,5,9,7,8,3,10,1,12]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[2,11,8,4,6,7,5,9,3,10,1,12]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[2,11,8,5,6,4,7,9,3,10,1,12]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,3,11,5,7,10,8,9,6,1,12]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[4,2,3,11,5,9,7,8,10,6,1,12]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,3,11,6,7,5,9,10,8,1,12]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[4,2,3,11,6,9,7,8,5,10,1,12]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[4,2,3,11,8,6,7,9,5,10,1,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,11,7,9,10,8,1,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,2,4,5,3,11,8,9,7,10,1,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,3,4,2,5,11,7,9,10,8,1,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,11,8,9,7,10,1,12]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[8,2,4,7,5,6,3,11,9,10,1,12]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[8,2,6,4,5,7,3,11,9,10,1,12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[8,3,4,2,6,7,5,11,9,10,1,12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,3,6,4,5,2,7,11,9,10,1,12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,7,11,9,10,1,12]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[10,2,4,9,5,7,8,6,3,11,1,12]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[10,2,4,9,6,7,5,8,3,11,1,12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[10,2,6,4,5,9,7,8,3,11,1,12]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[10,2,8,4,6,7,5,9,3,11,1,12]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[10,2,8,5,6,4,7,9,3,11,1,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[10,3,4,2,6,9,7,8,5,11,1,12]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[10,3,4,2,8,6,7,9,5,11,1,12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[10,3,6,4,5,2,8,9,7,11,1,12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[10,5,3,4,6,2,8,9,7,11,1,12]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[10,3,8,4,6,7,5,2,9,11,1,12]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[10,3,8,5,6,4,7,2,9,11,1,12]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[10,5,3,4,8,6,7,2,9,11,1,12]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,7,3,5,6,4,8,2,9,11,1,12]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,7,4,5,3,6,8,2,9,11,1,12]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[11,10,9,8,7,6,5,4,3,2,12,1]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[2,12,11,10,9,8,7,6,5,4,3,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[12,2,3,4,5,6,7,8,9,10,11,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,10,12,11,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10,11,12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9,12,11]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7,10,9,12,11]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9,12,11]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9,12,11]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,7,5,4,6,8,3,10,9,12,11]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,7,5,4,6,8,1,10,9,12,11]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,3,2,5,4,6,8,1,10,9,12,11]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,4,3,5,2,6,8,1,10,9,12,11]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9,12,11]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9,12,11]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[5,3,2,4,7,6,8,1,10,9,12,11]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9,12,11]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9,12,11]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,9,7,6,8,10,5,12,11]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,9,7,6,8,10,5,12,11]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,9,7,6,8,10,1,12,11]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,9,7,6,8,10,3,12,11]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,9,7,6,8,10,1,12,11]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,3,2,5,4,7,6,8,10,1,12,11]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,4,3,5,2,7,6,8,10,1,12,11]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,3,2,6,5,7,4,8,10,1,12,11]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,4,3,6,5,7,2,8,10,1,12,11]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,9,5,4,7,6,8,10,3,12,11]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,9,5,4,7,6,8,10,1,12,11]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,6,4,3,5,7,2,8,10,1,12,11]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,9,6,5,7,4,8,10,3,12,11]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,9,6,5,7,4,8,10,1,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,9,8,10,7,12,11]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,9,8,10,7,12,11]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,9,8,10,7,12,11]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,9,8,10,7,12,11]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,9,8,10,7,12,11]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,7,5,4,6,9,8,10,3,12,11]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,7,5,4,6,9,8,10,1,12,11]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,3,2,5,4,6,9,8,10,1,12,11]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,4,3,5,2,6,9,8,10,1,12,11]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,9,8,10,5,12,11]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,9,8,10,5,12,11]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,7,6,9,8,10,1,12,11]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,9,8,10,3,12,11]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,9,8,10,1,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,6,5,11,9,8,10,12,7]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,6,5,11,9,8,10,12,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1,11,9,8,10,12,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,6,3,11,9,8,10,12,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,6,1,11,9,8,10,12,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,7,5,4,6,11,9,8,10,12,3]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,7,5,4,6,11,9,8,10,12,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,3,2,5,4,6,11,9,8,10,12,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,4,3,5,2,6,11,9,8,10,12,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,7,6,11,9,8,10,12,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,7,6,11,9,8,10,12,5]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,7,6,11,9,8,10,12,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,7,6,11,9,8,10,12,3]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,7,6,11,9,8,10,12,1]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,11,5,4,7,6,9,8,10,12,3]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,11,5,4,7,6,9,8,10,12,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[11,6,4,3,5,7,2,9,8,10,12,1]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,11,6,5,7,4,9,8,10,12,3]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,11,6,5,7,4,9,8,10,12,1]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,11,5,4,8,7,9,6,10,12,3]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,11,5,4,8,7,9,6,10,12,1]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,6,4,3,5,8,7,9,2,10,12,1]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,11,6,5,8,7,9,4,10,12,3]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,11,6,5,8,7,9,4,10,12,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[11,3,2,5,4,7,6,9,8,10,12,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[11,3,2,6,5,7,4,9,8,10,12,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[11,4,3,5,2,7,6,9,8,10,12,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[11,4,3,6,5,7,2,9,8,10,12,1]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,8,4,3,6,5,7,9,2,10,12,1]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,8,5,4,6,3,7,9,2,10,12,1]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,3,2,5,4,8,7,9,6,10,12,1]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,3,2,6,5,8,7,9,4,10,12,1]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,4,3,5,2,8,7,9,6,10,12,1]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,4,3,6,5,8,7,9,2,10,12,1]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,11,7,6,9,8,10,12,5]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,11,7,6,9,8,10,12,5]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,11,7,6,9,8,10,12,1]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,11,7,6,9,8,10,12,3]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,11,7,6,9,8,10,12,1]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,11,8,6,5,7,9,4,10,12,3]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,11,8,6,5,7,9,4,10,12,1]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,3,2,8,6,5,7,9,4,10,12,1]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[11,4,3,8,6,5,7,9,2,10,12,1]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,11,8,7,9,6,10,12,5]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,11,8,7,9,6,10,12,5]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,11,8,7,9,6,10,12,1]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,11,8,7,9,6,10,12,3]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,11,8,7,9,6,10,12,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,8,7,11,10,12,9]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,8,7,11,10,12,9]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,2,4,6,1,8,7,11,10,12,9]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,8,7,11,10,12,9]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,8,7,11,10,12,9]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,7,5,4,6,8,3,11,10,12,9]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,7,5,4,6,8,1,11,10,12,9]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,3,2,5,4,6,8,1,11,10,12,9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,4,3,5,2,6,8,1,11,10,12,9]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5,11,10,12,9]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5,11,10,12,9]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,2,4,7,6,8,1,11,10,12,9]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3,11,10,12,9]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1,11,10,12,9]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,9,7,6,8,11,10,12,5]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,9,7,6,8,11,10,12,5]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,9,7,6,8,11,10,12,1]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,9,7,6,8,11,10,12,3]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,9,7,6,8,11,10,12,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,3,2,5,4,7,6,8,11,10,12,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,4,3,5,2,7,6,8,11,10,12,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,3,2,6,5,7,4,8,11,10,12,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,4,3,6,5,7,2,8,11,10,12,1]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,9,5,4,7,6,8,11,10,12,3]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,9,5,4,7,6,8,11,10,12,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,6,4,3,5,7,2,8,11,10,12,1]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,9,6,5,7,4,8,11,10,12,3]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,9,6,5,7,4,8,11,10,12,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,11,10,12,7]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,11,10,12,7]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,6,1,9,8,11,10,12,7]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,11,10,12,7]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,11,10,12,7]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,7,5,4,6,9,8,11,10,12,3]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,7,5,4,6,9,8,11,10,12,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,3,2,5,4,6,9,8,11,10,12,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,4,3,5,2,6,9,8,11,10,12,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,11,10,12,5]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,11,10,12,5]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,7,6,9,8,11,10,12,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,11,10,12,3]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,11,10,12,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,12,11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[12,11,10,9,7,6,8,5,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>[12,11,10,9,8,6,7,5,4,3,2,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,11,3,5,10,6,8,9,7,4,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,2,4,12,6,8,11,9,10,7,5]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,3,11,5,10,6,8,9,7,4,12,2]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,10,4,9,5,7,8,6,3,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,5,4,6,12,8,11,9,10,7,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,4,3,5,11,7,10,8,9,6,2,12]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,3,9,5,8,6,7,4,2,10,12,11]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,8,4,7,5,6,3,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,3,12,4,10,6,8,9,7,5,11,2]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[1,11,3,9,5,7,8,6,4,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,2,4,11,7,10,8,9,6,12,5]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,3,11,9,5,7,8,6,4,10,12,2]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,10,8,4,6,7,5,3,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,12,4,6,5,7,11,9,10,8,2]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,11,3,5,4,6,10,8,9,7,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,2,4,7,6,8,12,10,11,9,5]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,11,5,4,6,10,8,9,7,12,2]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,10,4,3,5,9,7,8,6,11,2,12]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,4,2,6,8,12,10,11,9,7]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,3,2,5,7,11,9,10,8,6,12]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,5,4,6,2,7,12,10,11,9,8]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,3,5,2,6,11,9,10,8,7,12]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,3,9,4,8,6,7,5,10,12,11,2]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,8,3,7,5,6,4,9,11,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,3,2,4,9,7,8,6,5,10,12,11]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,8,7,5,6,4,9,11,10,12,2]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,7,6,4,5,3,8,10,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,3,12,4,6,10,8,9,7,11,5,2]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,11,3,5,9,7,8,6,10,4,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,2,4,12,6,10,8,9,7,11,5]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,3,11,5,9,7,8,6,10,4,12,2]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,10,4,8,6,7,5,9,3,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,5,4,6,12,10,8,9,7,11,2]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,4,3,5,11,9,7,8,6,10,2,12]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,9,7,5,6,4,8,2,10,12,11]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,8,6,4,5,3,7,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,3,12,4,9,7,8,6,10,5,11,2]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,11,3,8,6,7,5,9,4,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,4,11,9,7,8,6,10,12,5]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,11,8,6,7,5,9,4,10,12,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,10,7,5,6,4,8,3,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,3,12,4,6,8,7,9,11,10,5,2]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,11,3,5,7,6,8,10,9,4,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,2,4,12,6,8,7,9,11,10,5]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,3,11,5,7,6,8,10,9,4,12,2]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,10,4,6,5,7,9,8,3,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,5,4,6,12,8,7,9,11,10,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,4,3,5,11,7,6,8,10,9,2,12]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,3,9,5,4,6,8,7,2,10,12,11]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,8,4,3,5,7,6,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,12,4,7,6,8,10,9,5,11,2]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,11,3,6,5,7,9,8,4,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,11,7,6,8,10,9,12,5]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,3,11,6,5,7,9,8,4,10,12,2]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,10,5,4,6,8,7,3,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,8,12,9,11,10,2]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,7,11,8,10,9,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,7,6,5,8,10,12,11,9]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,11,8,10,9,12,2]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,10,7,9,8,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,8,4,6,5,7,9,12,11,10,2]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,7,3,5,4,6,8,11,10,9,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,8,5,9,12,11,10]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,7,5,4,6,8,11,10,9,12,2]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,6,4,3,5,7,10,9,8,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,7,4,6,5,2,8,10,12,11,9]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,7,4,6,5,8,2,9,12,11,10]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,6,3,5,4,2,7,9,11,10,8,12]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,6,3,5,4,7,2,8,11,10,9,12]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,5,4,2,6,8,7,9,12,11,10]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5,7,6,8,11,10,9,12]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,6,5,4,2,7,9,11,10,12,8]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,6,5,4,7,2,8,11,10,12,9]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,5,4,3,2,6,8,10,9,11,7,12]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7,10,9,11,8,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,3,12,4,6,8,7,5,9,11,10,2]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,11,3,5,7,6,4,8,10,9,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,2,4,9,6,8,7,10,12,11,5]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,11,5,7,6,4,8,10,9,12,2]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,10,4,6,5,3,7,9,8,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,5,4,6,9,8,7,10,12,11,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,8,7,6,9,11,10,2,12]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,6,5,4,7,9,8,2,10,12,11]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,5,4,3,6,8,7,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,12,4,7,6,5,8,10,9,11,2]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,11,3,6,5,4,7,9,8,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,8,7,6,9,11,10,12,5]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,11,6,5,4,7,9,8,10,12,2]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,10,5,4,3,6,8,7,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,3,12,4,6,11,7,9,8,10,5,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,11,3,5,10,6,8,7,9,4,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,2,4,12,6,8,10,9,11,7,5]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,3,11,5,10,6,8,7,9,4,12,2]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,10,4,9,5,7,6,8,3,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,5,4,6,12,8,10,9,11,7,2]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,4,3,5,11,7,9,8,10,6,2,12]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,3,9,5,7,6,8,4,2,10,12,11]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,8,4,6,5,7,3,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,3,12,4,10,6,8,7,9,5,11,2]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,11,3,9,5,7,6,8,4,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,4,11,7,9,8,10,6,12,5]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,3,11,9,5,7,6,8,4,10,12,2]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,10,8,4,6,5,7,3,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,12,4,6,5,7,10,9,11,8,2]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,11,3,5,4,6,9,8,10,7,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,2,4,7,6,8,12,10,9,11,5]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,11,5,4,6,9,8,10,7,12,2]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,10,4,3,5,8,7,9,6,11,2,12]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,4,2,6,8,12,10,9,11,7]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,3,2,5,7,11,9,8,10,6,12]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,5,4,6,2,7,12,10,9,11,8]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,3,5,2,6,11,9,8,10,7,12]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,9,4,7,6,8,5,10,12,11,2]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,8,3,6,5,7,4,9,11,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,2,4,9,7,6,8,5,10,12,11]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,8,6,5,7,4,9,11,10,12,2]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,7,5,4,6,3,8,10,9,11,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,3,12,4,6,10,8,7,9,11,5,2]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,11,3,5,9,7,6,8,10,4,2,12]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,2,4,12,6,9,8,10,7,11,5]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,3,11,5,9,7,6,8,10,4,12,2]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,10,4,8,6,5,7,9,3,11,2,12]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,5,4,6,12,9,8,10,7,11,2]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,4,3,5,11,8,7,9,6,10,2,12]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,9,6,5,7,4,8,2,10,12,11]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,8,5,4,6,3,7,2,9,11,10,12]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,3,12,4,9,7,6,8,10,5,11,2]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,11,3,8,6,5,7,9,4,10,2,12]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,11,8,7,9,6,10,12,5]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,11,8,6,5,7,9,4,10,12,2]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,10,7,5,4,6,8,3,9,11,2,12]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10,11,12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,3,12,7,6,10,8,9,5,11,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,12,8,9,11,10,1]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,12,6,7,9,8,10,11,5]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,2,3,5,4,6,7,1,10,9,11,12]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,11,8,7,9,10,12,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[2,8,3,5,7,6,4,1,10,11,9,12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[2,8,3,5,7,6,4,1,9,11,12,10]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,8,3,5,7,6,4,11,9,10,2,12]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,8,3,5,7,6,4,9,2,11,12,10]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[11,8,3,5,7,6,4,9,2,10,12,1]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,7,6,4,11,9,10,12,8]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,6,4,9,12,10,11,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,11,5,7,6,4,9,10,8,2,12]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,2,11,5,7,6,4,9,10,8,12,3]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,9,5,7,6,4,8,2,11,12,10]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[11,3,9,5,7,6,4,8,2,10,12,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,2,9,5,7,6,4,8,12,10,11,3]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[11,2,9,5,7,6,4,8,10,3,12,1]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[2,12,9,5,7,6,4,8,10,3,11,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,7,6,2,11,9,10,12,8]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,5,3,4,7,6,2,9,12,10,11,8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[11,5,3,4,7,6,2,9,10,8,12,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[9,5,3,4,7,6,2,8,12,10,11,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[9,5,3,4,7,6,2,8,10,1,11,12]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,4,7,6,12,9,10,8,11,5]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,1,4,7,6,12,8,10,11,9,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,7,6,12,9,10,8,11,5]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,4,2,7,6,12,8,10,11,9,5]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,3,11,4,7,6,10,8,9,5,2,12]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,2,11,4,7,6,10,8,9,5,12,3]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[11,3,4,2,7,6,10,8,9,5,12,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,4,12,7,6,10,8,9,5,11,3]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,3,9,4,7,6,8,5,2,11,12,10]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[11,3,9,4,7,6,8,5,2,10,12,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,2,9,4,7,6,8,5,12,10,11,3]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[11,2,9,4,7,6,8,5,10,3,12,1]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[2,12,9,4,7,6,8,5,10,3,11,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[9,3,4,2,7,6,8,5,12,10,11,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[9,3,4,2,7,6,8,5,10,1,11,12]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,4,12,7,6,8,5,10,11,9,3]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,3,12,7,6,8,5,10,11,9,1]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[11,2,4,10,7,6,8,5,9,3,12,1]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[2,12,4,10,7,6,8,5,9,3,11,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,2,3,10,7,6,8,5,9,1,11,12]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[2,12,3,10,7,6,8,5,9,11,4,1]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,10,7,6,8,5,9,11,4,12]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,7,5,6,4,2,11,9,10,12,8]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,7,5,6,4,2,9,12,10,11,8]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[11,3,7,5,6,4,2,9,10,8,12,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[9,3,7,5,6,4,2,8,12,10,11,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[9,3,7,5,6,4,2,8,10,1,11,12]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,7,5,6,4,12,9,10,8,11,3]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,12,8,10,11,9,3]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[11,2,7,5,6,4,10,8,9,3,12,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[2,12,7,5,6,4,10,8,9,3,11,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[9,2,7,5,6,4,8,3,12,10,11,1]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[9,2,7,5,6,4,8,3,10,1,11,12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,12,7,5,6,4,8,3,10,11,9,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[2,10,7,5,6,4,8,3,9,1,11,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[7,5,3,4,6,2,12,9,10,8,11,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[7,5,3,4,6,2,12,8,10,11,9,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,5,3,4,6,2,10,8,9,1,11,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,3,4,6,2,8,1,10,11,9,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,5,3,4,6,2,8,1,9,11,12,10]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[7,3,6,4,5,2,12,9,10,8,11,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[7,3,6,4,5,2,12,8,10,11,9,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,3,6,4,5,2,10,8,9,1,11,12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,3,6,4,5,2,8,1,10,11,9,12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,3,6,4,5,2,8,1,9,11,12,10]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,3,1,4,6,12,10,8,9,11,7,5]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,1,4,6,12,8,11,9,10,7,5]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,3,4,2,6,12,10,8,9,11,7,5]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,4,2,6,12,8,11,9,10,7,5]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,6,4,5,12,10,8,9,11,7,3]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,6,4,5,12,8,11,9,10,7,3]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[6,3,4,2,5,12,10,8,9,11,7,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,3,4,2,5,12,8,11,9,10,7,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[6,2,4,5,3,12,10,8,9,11,7,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,2,4,5,3,12,8,11,9,10,7,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,3,11,4,6,10,8,9,7,5,2,12]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,2,11,4,6,10,8,9,7,5,12,3]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[11,3,4,2,6,10,8,9,7,5,12,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,2,4,12,6,10,8,9,7,5,11,3]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[4,2,3,12,6,10,8,9,7,5,11,1]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[11,2,6,4,5,10,8,9,7,3,12,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[2,12,6,4,5,10,8,9,7,3,11,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,3,4,2,5,10,8,9,7,1,11,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,2,4,5,3,10,8,9,7,1,11,12]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,2,4,12,5,10,8,9,7,11,6,3]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,2,3,12,5,10,8,9,7,11,6,1]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[2,12,4,5,3,10,8,9,7,11,6,1]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,2,3,5,1,10,8,9,7,11,6,12]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,5,3,4,1,10,8,9,7,11,6,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,3,9,4,6,8,7,5,2,11,12,10]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[11,3,9,4,6,8,7,5,2,10,12,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,2,9,4,6,8,7,5,12,10,11,3]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[11,2,9,4,6,8,7,5,10,3,12,1]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[2,12,9,4,6,8,7,5,10,3,11,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[9,3,4,2,6,8,7,5,12,10,11,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[9,3,4,2,6,8,7,5,10,1,11,12]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,4,12,6,8,7,5,10,11,9,3]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[4,2,3,12,6,8,7,5,10,11,9,1]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[11,2,4,10,6,8,7,5,9,3,12,1]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[2,12,4,10,6,8,7,5,9,3,11,1]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[4,2,3,10,6,8,7,5,9,1,11,12]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[2,12,3,10,6,8,7,5,9,11,4,1]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,10,6,8,7,5,9,11,4,12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[9,2,6,4,5,8,7,3,12,10,11,1]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[9,2,6,4,5,8,7,3,10,1,11,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[2,12,6,4,5,8,7,3,10,11,9,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[2,10,6,4,5,8,7,3,9,1,11,12]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,10,6,4,5,8,7,3,9,11,2,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[6,3,4,2,5,8,7,1,10,11,9,12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,3,4,2,5,8,7,1,9,11,12,10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[6,2,4,5,3,8,7,1,10,11,9,12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,2,4,5,3,8,7,1,9,11,12,10]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,2,4,12,5,8,7,11,9,10,6,3]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,2,3,12,5,8,7,11,9,10,6,1]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[2,12,4,5,3,8,7,11,9,10,6,1]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,5,1,8,7,11,9,10,6,12]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,8,7,11,9,10,6,12]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[11,2,4,10,5,8,7,9,6,3,12,1]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[2,12,4,10,5,8,7,9,6,3,11,1]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[4,2,3,10,5,8,7,9,6,1,11,12]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[2,12,3,10,5,8,7,9,6,11,4,1]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,10,5,8,7,9,6,11,4,12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[2,10,4,5,3,8,7,9,6,1,11,12]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,10,4,5,3,8,7,9,6,11,2,12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,8,7,9,6,11,12,10]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,5,3,4,1,8,7,9,6,11,12,10]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[2,12,3,5,11,8,7,9,6,10,4,1]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,5,11,8,7,9,6,10,4,12]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,5,3,4,11,8,7,9,6,10,2,12]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,11,8,7,9,6,10,12,5]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,4,2,11,8,7,9,6,10,12,5]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,12,4,11,6,5,8,7,9,10,3,1]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,12,4,6,5,10,9,8,7,3,11,1]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[2,12,4,11,6,5,7,9,8,10,3,1]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,12,4,6,5,11,7,10,9,8,3,1]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[2,12,4,3,10,7,8,6,9,5,11,1]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[2,12,4,3,8,7,6,11,9,10,5,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]=>[2,12,4,7,5,6,10,9,8,3,11,1]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[2,12,4,3,10,6,8,9,7,5,11,1]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]=>[2,12,4,9,7,6,5,8,11,10,3,1]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[2,12,4,11,5,7,6,8,10,9,3,1]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[2,12,4,3,9,8,7,6,11,10,5,1]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,12,4,11,5,6,8,7,10,9,3,1]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,12,4,3,11,6,9,8,10,7,5,1]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[2,12,3,5,6,10,8,7,9,4,11,1]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[2,12,3,5,6,8,7,11,9,10,4,1]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,12,3,5,6,4,10,9,8,7,11,1]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[2,12,3,5,6,9,7,8,11,10,4,1]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,12,3,5,6,4,11,8,10,9,7,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,12,5,4,3,7,8,10,9,6,11,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[2,12,5,4,3,7,8,6,11,10,9,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,12,3,6,5,7,8,10,9,4,11,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[2,12,3,6,5,7,8,4,11,10,9,1]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[2,12,7,5,4,6,3,9,10,8,11,1]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]=>[2,12,5,4,8,6,7,9,10,3,11,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[2,12,3,7,6,5,4,9,10,8,11,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[2,12,6,4,5,8,7,9,10,3,11,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]=>[2,12,3,8,5,7,6,9,10,4,11,1]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]=>[2,12,9,5,7,6,4,8,3,11,10,1]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[2,12,10,5,4,7,6,8,9,11,3,1]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[2,12,5,4,9,8,7,6,3,11,10,1]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[2,12,10,5,4,6,8,7,9,11,3,1]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[2,12,5,4,10,6,9,8,7,11,3,1]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[2,12,3,9,6,7,5,8,4,11,10,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[2,12,3,7,6,5,10,8,9,11,4,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,12,6,4,5,9,8,7,3,11,10,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]=>[2,12,3,9,5,7,8,6,4,11,10,1]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[2,12,8,6,5,4,7,10,9,11,3,1]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[2,12,10,4,6,5,7,9,8,11,3,1]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]=>[2,12,3,8,7,6,5,10,9,11,4,1]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[2,12,10,4,5,7,6,9,8,11,3,1]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[3,2,4,12,6,10,8,7,9,5,11,1]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,12,6,8,7,11,9,10,5,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,2,4,12,6,5,10,9,8,7,11,1]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,2,4,12,6,9,7,8,11,10,5,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,2,4,12,6,5,11,8,10,9,7,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,4,12,5,7,8,10,9,6,11,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,4,12,5,7,8,6,11,10,9,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,4,12,7,6,5,9,10,8,11,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[3,2,4,12,5,8,7,9,10,6,11,1]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[3,2,4,12,9,7,6,8,5,11,10,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[3,2,4,12,7,6,10,8,9,11,5,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[3,2,4,12,5,9,8,7,6,11,10,1]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[3,2,4,12,8,6,7,10,9,11,5,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[3,2,4,12,5,10,7,9,8,11,6,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,3,2,4,6,12,8,10,9,7,11,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[5,3,2,4,6,12,8,7,11,10,9,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,12,7,9,10,8,11,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,3,2,4,6,12,9,8,7,11,10,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,12,7,10,9,11,8,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,4,3,6,12,8,10,9,7,11,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[5,2,4,3,6,12,8,7,11,10,9,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,2,4,3,6,12,7,9,10,8,11,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2,4,3,6,12,9,8,7,11,10,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,2,4,3,6,12,7,10,9,11,8,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,3,5,4,2,6,8,12,10,9,11,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[7,3,5,4,2,6,8,12,9,11,10,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,3,2,6,5,4,8,12,10,9,11,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[7,3,2,6,5,4,8,12,9,11,10,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,8,12,10,9,11,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[7,2,4,5,3,6,8,12,9,11,10,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,4,3,2,6,5,8,12,10,9,11,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,8,12,9,11,10,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,2,5,4,6,3,8,12,10,9,11,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[7,2,5,4,6,3,8,12,9,11,10,1]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[9,3,7,5,4,6,2,8,10,12,11,1]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[9,3,5,4,8,6,7,2,10,12,11,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[9,3,2,7,6,5,4,8,10,12,11,1]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[9,3,6,4,5,8,7,2,10,12,11,1]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[9,3,2,8,5,7,6,4,10,12,11,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[9,2,4,5,7,6,3,8,10,12,11,1]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[9,2,4,5,3,8,7,6,10,12,11,1]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[9,4,3,2,6,7,5,8,10,12,11,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[9,2,5,4,6,7,3,8,10,12,11,1]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[9,6,4,3,5,2,8,7,10,12,11,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[9,4,3,7,5,6,8,2,10,12,11,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[9,2,6,5,4,3,8,7,10,12,11,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[9,5,3,4,7,6,8,2,10,12,11,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[9,2,7,4,6,5,8,3,10,12,11,1]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[11,3,10,5,4,7,6,8,9,2,12,1]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[11,3,5,4,9,8,7,6,2,10,12,1]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[11,3,10,5,4,6,8,7,9,2,12,1]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[11,3,5,4,10,6,9,8,7,2,12,1]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[11,3,2,9,6,7,5,8,4,10,12,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[11,3,2,7,6,5,10,8,9,4,12,1]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[11,3,6,4,5,9,8,7,2,10,12,1]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[11,3,2,9,5,7,8,6,4,10,12,1]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[11,3,8,6,5,4,7,10,9,2,12,1]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[11,3,10,4,6,5,7,9,8,2,12,1]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]=>[11,3,2,8,7,6,5,10,9,4,12,1]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[11,3,10,4,5,7,6,9,8,2,12,1]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[11,3,2,10,5,8,7,9,6,4,12,1]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[11,2,4,5,9,7,6,8,3,10,12,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[11,2,4,5,7,6,10,8,9,3,12,1]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[11,2,4,5,3,9,8,7,6,10,12,1]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[11,2,4,5,8,6,7,10,9,3,12,1]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[11,2,4,5,3,10,7,9,8,6,12,1]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[11,4,3,2,6,7,9,8,5,10,12,1]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[11,4,3,2,6,7,5,10,9,8,12,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[11,2,5,4,6,7,9,8,3,10,12,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[11,2,5,4,6,7,3,10,9,8,12,1]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[11,6,4,3,5,2,8,9,7,10,12,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[11,4,3,7,5,6,8,9,2,10,12,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[11,2,6,5,4,3,8,9,7,10,12,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[11,5,3,4,7,6,8,9,2,10,12,1]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[11,2,7,4,6,5,8,9,3,10,12,1]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[11,8,4,6,5,3,7,2,10,9,12,1]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[11,9,4,3,6,5,7,8,10,2,12,1]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]=>[11,4,3,8,7,6,5,2,10,9,12,1]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[11,9,4,3,5,7,6,8,10,2,12,1]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[11,4,3,9,5,8,7,6,10,2,12,1]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[11,2,8,5,6,4,7,3,10,9,12,1]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[11,2,6,5,4,9,7,8,10,3,12,1]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[11,5,3,4,8,7,6,2,10,9,12,1]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[11,2,8,4,6,7,5,3,10,9,12,1]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[11,7,5,4,3,6,9,8,10,2,12,1]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[11,9,3,5,4,6,8,7,10,2,12,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[11,2,7,6,5,4,9,8,10,3,12,1]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[11,9,3,4,6,5,8,7,10,2,12,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,7,10,12,11,9]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,10,9,7,12,11]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,10,9,12,11,7]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,3,6,5,8,12,9,11,10,7]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,5,10,9,12,11]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5,10,12,11,9]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,3,6,8,7,10,9,5,12,11]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,1,4,3,6,10,7,9,8,5,12,11]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,10,9,12,11,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,3,6,8,7,12,9,11,10,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,1,4,3,6,10,7,9,8,12,11,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,1,4,3,6,12,7,9,8,11,10,5]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,1,4,3,6,12,7,9,11,10,8,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7,10,9,12,11]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,7,10,12,11,9]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,10,9,7,12,11]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,10,9,12,11,7]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,5,3,8,12,9,11,10,7]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,6,5,8,7,3,10,9,12,11]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3,10,12,11,9]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,8,5,7,6,3,10,9,12,11]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,8,5,7,6,3,10,12,11,9]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,8,7,10,9,3,12,11]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,1,4,6,5,10,7,9,8,3,12,11]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,8,5,7,6,10,9,3,12,11]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[2,1,4,10,5,7,6,9,8,3,12,11]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[2,1,4,10,5,7,9,8,6,3,12,11]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,10,9,12,11,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,5,8,7,12,9,11,10,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,1,4,6,5,10,7,9,8,12,11,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,1,4,6,5,12,7,9,8,11,10,3]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,1,4,6,5,12,7,9,11,10,8,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,8,5,7,6,10,9,12,11,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,12,9,11,10,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[2,1,4,10,5,7,6,9,8,12,11,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[2,1,4,10,5,7,9,8,6,12,11,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,1,4,12,5,7,6,9,8,11,10,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,1,4,12,5,7,6,9,11,10,8,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,1,4,12,5,7,9,8,6,11,10,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,1,4,12,5,7,9,8,11,10,6,3]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,1,4,12,5,7,11,8,10,9,6,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9,12,11]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,5,8,7,10,12,11,9]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,10,9,7,12,11]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,1,6,5,8,10,9,12,11,7]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,1,6,5,8,12,9,11,10,7]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,8,7,5,10,9,12,11]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5,10,12,11,9]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,8,7,10,9,5,12,11]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,1,6,10,7,9,8,5,12,11]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,10,9,12,11,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,1,6,8,7,12,9,11,10,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,3,1,6,10,7,9,8,12,11,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,3,1,6,12,7,9,8,11,10,5]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,3,1,6,12,7,9,11,10,8,5]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7,10,9,12,11]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,6,5,1,8,7,10,12,11,9]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,10,9,7,12,11]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1,8,10,9,12,11,7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,5,1,8,12,9,11,10,7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7,10,9,12,11]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,6,3,5,4,1,8,7,10,12,11,9]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,10,9,7,12,11]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,6,3,5,4,1,8,10,9,12,11,7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1,8,12,9,11,10,7]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,6,5,8,7,1,10,9,12,11]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1,10,12,11,9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,8,5,7,6,1,10,9,12,11]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,8,5,7,6,1,10,12,11,9]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,6,3,5,4,8,7,1,10,9,12,11]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,1,10,12,11,9]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[2,8,3,5,4,7,6,1,10,9,12,11]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[2,8,3,5,4,7,6,1,10,12,11,9]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[2,8,3,5,7,6,4,1,10,9,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>[2,8,3,5,7,6,4,1,10,12,11,9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,8,7,10,9,1,12,11]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,6,5,10,7,9,8,1,12,11]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,8,5,7,6,10,9,1,12,11]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,3,10,5,7,6,9,8,1,12,11]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,3,10,5,7,9,8,6,1,12,11]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,6,3,5,4,8,7,10,9,1,12,11]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,10,7,9,8,1,12,11]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[2,8,3,5,4,7,6,10,9,1,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>[2,8,3,5,7,6,4,10,9,1,12,11]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[2,10,3,5,4,7,6,9,8,1,12,11]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[2,10,3,5,4,7,9,8,6,1,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[2,10,3,5,7,6,4,9,8,1,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[2,10,3,5,7,6,9,8,4,1,12,11]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,10,3,5,9,6,8,7,4,1,12,11]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,10,9,12,11,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,5,8,7,12,9,11,10,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,3,6,5,10,7,9,8,12,11,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,3,6,5,12,7,9,8,11,10,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,3,6,5,12,7,9,11,10,8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,8,5,7,6,10,9,12,11,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,8,5,7,6,12,9,11,10,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,3,10,5,7,6,9,8,12,11,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,3,10,5,7,9,8,6,12,11,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,3,12,5,7,6,9,8,11,10,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,3,12,5,7,6,9,11,10,8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,3,12,5,7,9,8,6,11,10,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,3,12,5,7,9,8,11,10,6,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,3,12,5,7,11,8,10,9,6,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,10,9,12,11,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,8,7,12,9,11,10,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,6,3,5,4,10,7,9,8,12,11,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,6,3,5,4,12,7,9,8,11,10,1]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,6,3,5,4,12,7,9,11,10,8,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[2,8,3,5,4,7,6,10,9,12,11,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[2,8,3,5,4,7,6,12,9,11,10,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[2,8,3,5,7,6,4,10,9,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]=>[2,8,3,5,7,6,4,12,9,11,10,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[2,10,3,5,4,7,6,9,8,12,11,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[2,10,3,5,4,7,9,8,6,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>[2,10,3,5,7,6,4,9,8,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[2,10,3,5,7,6,9,8,4,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,10,3,5,9,6,8,7,4,12,11,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,12,3,5,4,7,6,9,8,11,10,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,12,3,5,4,7,6,9,11,10,8,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,12,3,5,4,7,9,8,6,11,10,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,12,3,5,4,7,9,8,11,10,6,1]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,12,3,5,4,7,11,8,10,9,6,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,12,3,5,7,6,4,9,8,11,10,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,12,3,5,7,6,4,9,11,10,8,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[2,12,3,5,7,6,9,8,4,11,10,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,12,3,5,9,6,8,7,4,11,10,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[2,12,3,5,7,6,9,8,11,10,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,12,3,5,7,6,11,8,10,9,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[2,12,3,5,9,6,8,7,11,10,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,12,3,5,11,6,8,7,10,9,4,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,12,3,5,11,6,8,10,9,7,4,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10,11,12]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[2,1,4,12,5,7,11,8,9,10,6,3]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[2,1,4,12,5,10,7,8,9,11,6,3]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,4,12,6,7,9,8,10,11,5,3]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[2,1,4,12,6,10,7,8,9,5,11,3]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]=>[2,1,4,12,9,6,7,8,10,5,11,3]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[2,1,12,4,5,7,6,9,10,11,8,3]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[2,1,12,4,5,8,7,9,10,6,11,3]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[2,1,12,4,6,7,9,8,5,10,11,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[2,1,12,5,6,7,4,9,8,10,11,3]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[2,1,11,4,6,10,7,8,9,5,12,3]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,1,11,4,9,6,7,8,10,5,12,3]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[2,1,11,5,6,8,7,9,10,4,12,3]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[2,1,11,5,9,6,7,8,4,10,12,3]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,11,8,5,6,7,9,4,10,12,3]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,4,6,5,12,7,9,10,11,8,1]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,4,6,5,12,8,9,10,7,11,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,4,12,6,5,7,9,8,10,11,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,4,11,6,5,8,9,10,7,12,1]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,4,11,7,6,8,9,5,10,12,1]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,8,4,5,7,6,12,9,10,11,1]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[3,2,11,4,5,8,7,6,9,10,12,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,3,2,4,5,8,7,12,9,10,11,1]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[3,2,10,4,6,7,9,8,5,11,12,1]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,10,5,6,7,4,9,8,11,12,1]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[10,3,2,4,6,5,7,9,8,11,12,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[8,3,2,5,6,7,4,10,9,11,12,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[8,4,3,5,6,2,7,10,9,11,12,1]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[3,2,11,4,6,10,7,8,9,5,1,12]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[3,2,11,4,9,6,7,8,10,5,1,12]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[3,2,11,5,6,8,7,9,10,4,1,12]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[3,2,11,5,9,6,7,8,4,10,1,12]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[3,2,11,8,5,6,7,9,4,10,1,12]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[11,3,2,4,6,5,8,9,10,7,1,12]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]=>[11,3,2,4,7,6,8,9,5,10,1,12]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[11,3,2,5,6,8,7,4,9,10,1,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[11,4,3,5,6,2,8,7,9,10,1,12]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[10,3,2,5,9,6,7,8,4,11,1,12]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[10,3,2,8,5,6,7,9,4,11,1,12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]=>[10,4,3,5,7,6,8,9,2,11,1,12]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[10,4,3,8,5,6,7,2,9,11,1,12]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,7,4,3,5,6,8,2,9,11,1,12]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,3,6,12,7,9,10,11,8,5]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,6,12,8,9,10,7,11,5]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,2,4,3,11,6,8,9,10,7,12,5]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,2,4,3,11,7,8,9,6,10,12,5]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,2,5,4,6,8,7,12,9,10,11,3]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,2,5,4,6,11,8,7,9,10,12,3]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,2,5,4,10,6,7,9,8,11,12,3]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,2,8,5,4,6,7,10,9,11,12,3]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,2,5,4,11,6,8,9,10,7,3,12]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,2,5,4,11,7,8,9,6,10,3,12]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,2,11,5,4,6,8,7,9,10,3,12]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,2,10,5,4,7,8,9,6,11,3,12]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,2,10,6,5,7,8,4,9,11,3,12]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,5,2,8,12,9,10,11,7]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,4,6,5,2,11,8,9,10,12,7]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,7,6,5,8,10,9,11,12,2]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,4,7,6,5,11,8,9,10,2,12]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,4,10,7,6,5,8,9,11,2,12]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,12,9,10,11,7]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,4,1,6,5,11,8,9,10,12,7]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,1,7,6,8,10,9,11,12,5]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,4,1,7,6,11,8,9,10,5,12]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[2,3,4,1,10,7,6,8,9,11,5,12]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,8,4,5,7,6,2,10,11,12,9]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,3,9,4,5,8,7,6,10,11,2,12]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,6,3,4,5,8,7,2,10,11,12,9]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,6,3,4,5,9,8,7,10,11,2,12]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,3,5,4,6,8,7,1,10,11,12,9]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,9,8,7,10,11,1,12]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,6,3,4,5,1,8,7,10,11,12,9]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,6,3,4,5,1,9,8,10,11,7,12]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[5,2,3,4,6,1,8,7,10,11,12,9]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[5,2,3,4,6,1,9,8,10,11,7,12]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,3,10,4,6,7,9,8,5,2,11,12]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,10,5,6,7,4,9,8,2,11,12]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,10,3,4,6,5,7,9,8,2,11,12]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,8,3,5,6,7,4,10,9,2,11,12]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,8,4,5,6,3,7,10,9,2,11,12]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,3,5,4,10,6,7,9,8,1,11,12]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,3,8,5,4,6,7,10,9,1,11,12]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,7,3,4,6,5,8,10,9,1,11,12]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[5,2,3,4,7,6,8,10,9,1,11,12]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[2,8,3,5,6,7,4,1,10,9,11,12]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,8,4,5,6,3,7,1,10,9,11,12]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,2,4,5,6,3,8,1,10,9,11,12]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,3,4,5,2,6,8,1,10,9,11,12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,3,12,4,6,11,7,8,10,9,5,2]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,3,12,4,9,6,7,8,11,10,5,2]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,3,12,5,6,8,7,9,11,10,4,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,3,12,5,9,6,7,8,4,11,10,2]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,3,12,8,5,6,7,9,4,11,10,2]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,12,3,4,6,5,8,9,11,10,7,2]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,12,3,4,7,6,8,9,5,11,10,2]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,12,3,5,6,8,7,4,9,11,10,2]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,12,4,5,6,3,8,7,9,11,10,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,10,3,5,9,6,7,8,4,12,11,2]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,10,3,8,5,6,7,9,4,12,11,2]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,10,4,5,7,6,8,9,3,12,11,2]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,10,4,8,5,6,7,3,9,12,11,2]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,10,7,4,5,6,8,3,9,12,11,2]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,5,4,12,6,8,9,11,10,7,1]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,5,4,12,7,8,9,6,11,10,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,12,5,4,6,8,7,9,11,10,1]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,10,5,4,7,8,9,6,12,11,1]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,10,6,5,7,8,4,9,12,11,1]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]=>[2,10,3,4,7,6,5,8,9,12,11,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,2,3,4,7,6,12,8,9,11,10,1]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,10,7,6,8,9,12,11,1]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[2,9,3,5,6,8,7,4,10,12,11,1]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,9,4,5,6,3,8,7,10,12,11,1]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[9,2,3,5,4,6,8,7,10,12,11,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[7,2,4,5,6,3,9,8,10,12,11,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[7,3,4,5,2,6,9,8,10,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,10,3,5,9,6,7,8,4,1,12,11]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,10,3,8,5,6,7,9,4,1,12,11]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[2,10,4,5,7,6,8,9,3,1,12,11]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[2,10,4,8,5,6,7,3,9,1,12,11]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[2,10,7,4,5,6,8,3,9,1,12,11]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[10,2,3,5,4,7,8,9,6,1,12,11]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[10,2,3,6,5,7,8,4,9,1,12,11]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]=>[10,2,4,5,7,6,3,8,9,1,12,11]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[10,3,4,5,2,7,6,8,9,1,12,11]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[9,2,4,8,5,6,7,3,10,1,12,11]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[9,2,7,4,5,6,8,3,10,1,12,11]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[9,3,4,6,5,7,8,2,10,1,12,11]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,3,7,4,5,6,2,8,10,1,12,11]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[9,6,3,4,5,7,2,8,10,1,12,11]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,11,10,12]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[12,11,10,9,7,6,5,8,4,3,2,1]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[12,11,10,9,6,8,7,5,4,3,2,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[11,10,4,5,6,7,8,9,3,2,1,12]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,12,11,5,6,7,8,9,10,4,3,2]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[12,8,4,3,6,5,7,9,2,10,11,1]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[11,4,3,8,6,5,7,9,10,2,12,1]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[12,6,4,3,5,8,7,9,10,2,11,1]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[12,4,3,6,5,8,7,9,10,11,2,1]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[11,3,2,9,6,5,7,8,4,10,12,1]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[12,3,2,6,5,9,7,8,4,10,11,1]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[11,4,3,5,2,9,7,8,10,6,12,1]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[11,3,2,5,4,10,7,8,9,6,12,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[12,6,4,3,5,7,9,8,10,2,11,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[12,4,3,6,5,7,9,8,10,11,2,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[12,3,2,6,5,7,10,8,9,4,11,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[12,4,3,5,2,7,10,8,9,11,6,1]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[12,3,2,5,4,7,11,8,9,10,6,1]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,11,8,6,7,5,9,4,10,12,1]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[3,2,12,8,5,7,6,9,4,10,11,1]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[3,2,11,5,8,7,6,9,10,4,12,1]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,12,7,5,6,4,9,10,8,11,1]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,12,5,7,6,4,9,10,11,8,1]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[11,3,2,4,9,7,6,8,5,10,12,1]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]=>[12,3,2,4,7,6,9,8,5,10,11,1]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[3,2,11,4,9,7,8,6,5,10,12,1]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[3,2,12,4,9,6,8,7,5,10,11,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[11,4,3,5,6,2,9,8,10,7,12,1]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[11,3,2,5,6,4,10,8,9,7,12,1]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[3,2,11,5,6,9,8,7,10,4,12,1]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[11,3,2,4,6,10,8,7,9,5,12,1]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[3,2,11,4,6,10,8,9,7,5,12,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[12,7,4,3,5,6,8,2,10,9,11,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[12,4,3,7,5,6,8,2,10,11,9,1]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[12,3,2,7,5,6,8,10,9,4,11,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[12,4,3,5,7,6,8,10,9,11,2,1]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[12,3,2,5,7,6,8,11,9,10,4,1]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[3,2,12,8,5,6,7,4,10,9,11,1]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[3,2,12,5,8,6,7,4,10,11,9,1]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[12,3,2,4,8,6,7,10,9,5,11,1]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[3,2,12,4,10,6,7,9,8,5,11,1]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[12,4,3,5,6,8,7,10,9,11,2,1]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[12,3,2,5,6,8,7,11,9,10,4,1]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[3,2,12,5,6,10,7,9,8,11,4,1]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[12,3,2,4,6,11,7,9,8,10,5,1]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,12,4,6,11,7,9,10,8,5,1]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,11,8,6,5,4,7,9,3,10,12,1]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[2,12,6,5,4,8,7,9,3,10,11,1]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[2,11,5,4,3,8,7,9,10,6,12,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[2,12,6,5,4,7,3,9,10,8,11,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[2,12,5,4,3,7,6,9,10,11,8,1]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[2,5,4,3,11,9,7,8,6,10,12,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[2,5,4,3,12,7,9,8,6,10,11,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,11,5,4,3,6,9,8,10,7,12,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,5,4,3,11,6,10,8,9,7,12,1]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[2,12,6,5,4,7,8,3,10,9,11,1]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,12,5,4,3,7,8,6,10,11,9,1]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,5,4,3,12,7,8,10,9,6,11,1]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,12,5,4,3,6,8,10,9,11,7,1]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,4,3,12,6,8,11,9,10,7,1]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[4,2,3,11,8,7,6,9,5,10,12,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,3,12,7,6,5,9,8,10,11,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[4,2,3,7,6,5,11,9,10,8,12,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,12,7,6,5,8,10,9,11,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,2,3,7,6,5,12,8,10,11,9,1]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[2,11,3,8,7,6,5,9,4,10,12,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[2,12,3,7,6,5,4,9,8,10,11,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,6,5,4,11,9,10,8,12,1]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[2,12,3,7,6,5,4,8,10,9,11,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,6,5,4,12,8,10,11,9,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,11,9,8,7,10,12,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,3,4,2,5,9,8,7,12,10,11,1]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[11,2,4,3,5,9,8,7,6,10,12,1]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[9,2,4,3,5,8,7,6,12,10,11,1]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,6,4,5,3,11,9,8,7,10,12,1]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,6,4,5,3,9,8,7,12,10,11,1]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[11,2,3,5,4,9,8,7,6,10,12,1]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[9,2,3,5,4,8,7,6,12,10,11,1]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[2,11,3,5,9,8,7,6,4,10,12,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[2,9,3,5,8,7,6,4,12,10,11,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[8,5,3,4,6,2,7,11,10,9,12,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[11,3,5,4,6,2,7,10,9,8,12,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[8,2,5,4,6,7,3,11,10,9,12,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[11,3,4,2,6,7,5,10,9,8,12,1]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[11,2,4,3,6,7,10,9,8,5,12,1]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,8,6,4,5,3,7,11,10,9,12,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,11,4,6,5,3,7,10,9,8,12,1]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[8,2,3,6,5,7,4,11,10,9,12,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[2,8,3,7,5,6,4,11,10,9,12,1]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[11,3,4,5,2,7,6,10,9,8,12,1]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[11,2,4,5,3,7,10,9,8,6,12,1]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]=>[2,11,4,5,7,6,3,10,9,8,12,1]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[11,2,3,5,7,6,10,9,8,4,12,1]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,11,3,5,10,6,9,8,7,4,12,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[10,7,4,5,3,6,8,2,9,12,11,1]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[12,7,3,5,4,6,8,2,9,11,10,1]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[10,3,7,5,4,6,8,9,2,12,11,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[12,5,3,4,7,6,8,9,2,11,10,1]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[12,3,5,4,7,6,8,9,11,10,2,1]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[10,2,8,5,4,6,7,3,9,12,11,1]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]=>[12,2,5,4,8,6,7,3,9,11,10,1]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[10,3,4,2,8,6,7,9,5,12,11,1]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[10,2,4,3,9,6,7,8,5,12,11,1]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[12,5,3,4,6,8,7,9,2,11,10,1]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[12,3,5,4,6,8,7,9,11,10,2,1]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[12,2,5,4,6,9,7,8,3,11,10,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[12,3,4,2,6,9,7,8,11,10,5,1]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[12,2,4,3,6,11,7,8,10,9,5,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[2,10,7,5,6,4,8,3,9,12,11,1]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[2,12,7,4,6,5,8,3,9,11,10,1]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[2,10,4,7,6,5,8,9,3,12,11,1]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,12,6,4,5,3,8,9,7,11,10,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,12,4,6,5,3,8,9,11,10,7,1]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[10,2,3,8,6,5,7,4,9,12,11,1]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[12,2,3,6,5,8,7,4,9,11,10,1]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]=>[2,10,3,8,6,7,5,4,9,12,11,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]=>[2,12,3,8,5,7,6,4,9,11,10,1]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[10,3,4,5,2,8,7,9,6,12,11,1]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[10,2,4,5,3,9,7,8,6,12,11,1]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[2,10,4,5,8,7,6,9,3,12,11,1]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[10,2,3,5,9,7,6,8,4,12,11,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[2,10,3,5,9,7,8,6,4,12,11,1]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[12,6,3,4,5,7,2,9,8,11,10,1]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[12,3,6,4,5,7,2,9,11,10,8,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[12,2,6,4,5,7,9,8,3,11,10,1]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[12,3,4,6,5,7,9,8,11,10,2,1]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[12,2,4,6,5,7,11,8,10,9,3,1]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[2,12,7,4,5,6,3,9,8,11,10,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[2,12,4,7,5,6,3,9,11,10,8,1]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[12,2,3,7,5,6,9,8,4,11,10,1]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[2,12,3,9,5,6,8,7,4,11,10,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[12,3,4,5,7,6,9,8,11,10,2,1]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[12,2,4,5,7,6,11,8,10,9,3,1]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[2,12,4,5,9,6,8,7,11,10,3,1]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[12,2,3,5,11,6,8,7,10,9,4,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[12,11,4,5,6,7,8,10,9,3,2,1]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]=>[2,1,12,4,7,6,8,9,5,10,11,3]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,1,12,4,6,5,7,9,10,11,8,3]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[2,1,12,10,5,8,7,9,6,11,4,3]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]=>[2,1,11,7,5,6,8,4,9,10,12,3]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,1,11,5,6,4,8,9,10,7,12,3]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,4,5,12,6,9,8,10,11,7,3]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,1,4,5,11,9,7,8,10,6,12,3]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[2,1,4,10,6,9,7,8,5,11,12,3]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[2,1,10,5,6,8,7,4,9,11,12,3]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,1,4,12,6,7,8,5,10,11,9,3]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,4,12,5,6,8,11,9,10,7,3]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[2,1,12,5,11,7,9,8,6,10,4,3]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[2,1,12,5,6,7,4,8,10,9,11,3]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[2,1,12,4,5,7,8,10,9,6,11,3]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[12,3,2,6,5,4,9,8,10,11,7,1]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[11,3,2,9,7,6,5,8,10,4,12,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,3,2,5,4,7,10,8,9,11,12,1]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,3,2,5,4,12,8,11,9,10,7,1]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[12,3,2,7,6,5,8,10,9,4,11,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,10,8,7,9,11,12,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,3,2,4,6,8,7,9,12,10,11,1]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[3,2,4,10,5,8,7,6,9,11,12,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,8,5,7,6,9,12,10,11,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[12,3,2,6,5,7,10,9,8,4,11,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[8,6,4,3,5,7,2,12,10,9,11,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,2,4,7,5,6,8,12,10,9,11,1]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[3,2,12,5,10,6,9,8,7,4,11,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[12,4,3,5,7,6,2,10,9,8,11,1]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[11,3,2,6,5,7,8,4,9,10,1,12]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[11,3,2,5,4,6,8,9,10,7,1,12]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>[11,9,4,3,7,6,8,5,10,2,1,12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[10,6,4,3,5,7,2,8,9,11,1,12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[10,4,3,5,2,7,8,9,6,11,1,12]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[3,2,4,11,5,8,7,9,10,6,1,12]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[3,2,4,10,8,6,7,9,5,11,1,12]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]=>[3,2,9,5,8,6,7,4,10,11,1,12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[9,4,3,5,7,6,2,8,10,11,1,12]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,11,5,6,7,4,9,10,8,1,12]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[3,2,11,4,5,7,10,8,9,6,1,12]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[11,4,3,10,6,8,7,5,9,2,1,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[11,4,3,5,6,2,7,9,8,10,1,12]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[11,3,2,4,6,7,9,8,5,10,1,12]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,4,3,12,6,9,8,10,11,7,5]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,2,4,3,11,9,7,8,10,6,12,5]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,4,3,6,7,10,8,9,11,12,5]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,4,3,6,12,8,11,9,10,7,5]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,12,7,8,10,9,6,11,5]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,2,10,5,4,8,7,6,9,11,12,3]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,2,8,5,4,7,6,9,12,10,11,3]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,8,12,10,9,11,3]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,5,4,6,12,7,10,9,8,11,3]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,2,11,5,4,8,7,9,10,6,3,12]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,2,10,8,6,5,7,9,4,11,3,12]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,9,7,8,10,11,3,12]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,2,5,4,11,7,10,8,9,6,3,12]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,2,11,6,5,7,9,8,4,10,3,12]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,6,3,5,4,2,10,8,9,11,12,7]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,6,3,5,4,2,8,9,12,10,11,7]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,12,3,7,6,5,4,10,9,8,11,2]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,9,3,7,6,5,4,8,10,11,2,12]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,7,3,6,5,4,8,11,9,10,2,12]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,1,6,5,10,8,9,11,12,7]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[4,2,3,1,6,5,8,9,12,10,11,7]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,2,3,1,12,7,6,10,9,8,11,5]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,1,9,7,6,8,10,11,5,12]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,7,6,8,11,9,10,5,12]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,6,8,7,2,12,10,11,9]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,3,4,6,11,9,8,7,10,2,12]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,8,5,7,6,2,12,10,11,9]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,3,4,11,5,9,8,7,6,10,2,12]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[8,2,5,4,3,7,6,1,12,10,11,9]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[11,2,5,4,3,9,8,7,6,10,1,12]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,5,6,1,8,7,12,10,11,9]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[4,2,3,5,6,1,11,9,8,10,7,12]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,6,4,5,1,8,7,12,10,11,9]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,11,9,8,10,7,12]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,10,3,6,5,7,9,8,4,2,11,12]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,8,6,4,5,7,3,10,9,2,11,12]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,4,7,5,6,8,10,9,2,11,12]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,3,10,5,9,6,8,7,4,2,11,12]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,10,4,5,7,6,3,9,8,2,11,12]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,2,5,4,3,6,8,10,9,1,11,12]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,6,10,7,9,8,1,11,12]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,3,5,10,7,6,9,8,1,11,12]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[2,3,10,4,7,6,5,9,8,1,11,12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,2,5,4,6,7,3,1,10,9,11,12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,5,3,4,6,2,8,1,10,9,11,12]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,6,4,5,7,8,1,10,9,11,12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[2,8,4,7,5,6,3,1,10,9,11,12]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,3,4,6,5,2,7,1,10,9,11,12]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,12,3,6,5,7,8,4,9,11,10,2]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,12,3,5,4,6,8,9,11,10,7,2]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]=>[1,12,9,4,7,6,8,5,11,10,3,2]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,10,6,4,5,7,3,8,9,12,11,2]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,10,4,5,3,7,8,9,6,12,11,2]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,3,4,12,5,8,7,9,11,10,6,2]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,3,4,10,8,6,7,9,5,12,11,2]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,3,9,5,8,6,7,4,10,12,11,2]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,9,4,5,7,6,3,8,10,12,11,2]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,12,5,6,7,4,9,11,10,8,2]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,3,12,4,5,7,11,8,10,9,6,2]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,12,4,11,6,8,7,5,10,9,3,2]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,12,4,5,6,3,7,9,8,11,10,2]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,12,3,4,6,7,9,8,5,11,10,2]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[12,2,5,4,3,8,7,9,11,10,6,1]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[10,2,8,6,5,4,7,9,3,12,11,1]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,2,4,3,6,9,7,8,10,12,11,1]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,2,4,3,12,7,11,8,10,9,6,1]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[12,2,6,5,4,7,9,8,3,11,10,1]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,9,7,6,8,10,12,11,1]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,2,3,5,7,6,8,12,9,11,10,1]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[2,3,9,4,7,6,5,8,10,12,11,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,8,12,9,11,10,1]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[12,2,5,4,6,9,8,7,3,11,10,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[7,5,3,4,6,2,12,9,8,11,10,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,4,5,7,12,9,8,11,10,1]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[2,12,4,9,5,8,7,6,3,11,10,1]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[12,3,4,6,5,2,9,8,7,11,10,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[10,2,5,4,6,7,3,8,9,1,12,11]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[10,2,4,3,5,7,8,9,6,1,12,11]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[10,8,3,6,5,7,4,9,2,1,12,11]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[9,5,3,4,6,2,7,8,10,1,12,11]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[9,3,4,2,6,7,8,5,10,1,12,11]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,10,4,7,6,8,9,5,1,12,11]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,9,7,5,6,8,4,10,1,12,11]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0]=>[2,8,4,7,5,6,3,9,10,1,12,11]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[8,3,4,6,5,2,7,9,10,1,12,11]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,10,4,5,6,3,8,9,7,1,12,11]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,10,3,4,6,9,7,8,5,1,12,11]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]=>[10,3,9,5,7,6,4,8,2,1,12,11]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[10,3,4,5,2,6,8,7,9,1,12,11]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[10,2,3,5,6,8,7,4,9,1,12,11]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,4,6,5,7,11,10,9,8,12]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,6,5,7,8,12,11,10,9]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,6,5,7,4,11,10,9,8,12]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,5,4,1,7,6,8,12,11,10,9]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,6,5,7,4,11,10,9,8,12]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,4,6,5,7,9,12,11,10,8]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[6,2,5,4,3,8,7,1,10,9,11,12]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,3,6,5,7,8,4,12,11,10,9]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,4,6,7,5,9,12,11,10,8]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[5,4,3,2,6,8,7,9,1,11,10,12]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,5,4,1,7,8,6,12,11,10,9]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[6,2,5,4,3,8,7,9,1,11,10,12]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,6,7,8,5,12,11,10,9]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,4,1,6,7,5,9,12,11,10,8]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,5,6,4,8,12,11,10,9]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[5,4,3,2,6,1,10,8,9,7,11,12]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,3,5,8,6,7,4,12,11,10,9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[5,4,3,2,6,7,1,11,9,10,8,12]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,5,8,6,7,4,12,11,10,9]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8,11,10,9,12]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,8,3,6,5,4,7,1,11,10,9,12]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7,11,9,10,8,12]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,7,5,4,3,6,1,11,9,10,8,12]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,1,4,6,8,7,9,12,11,10,5]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,4,3,2,5,1,7,10,9,11,12,8]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,2,1,4,6,9,7,8,12,11,10,5]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,4,3,2,5,6,1,8,11,10,12,9]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,1,5,9,7,8,12,11,10,6]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,5,7,6,8,1,12,11,10,9]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,4,5,7,6,1,9,12,11,10,8]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,7,5,4,3,6,9,8,10,1,12,11]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,6,5,1,8,9,12,11,10,7]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,4,3,2,5,8,7,9,1,11,12,10]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,5,8,6,7,1,12,11,10,9]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,2,4,5,1,9,7,8,12,11,10,6]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,8,5,4,3,6,7,10,9,1,12,11]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,5,3,4,8,6,7,1,12,11,10,9]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,1,7,6,8,11,10,9,12,5]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,2,3,6,5,1,8,9,12,11,10,7]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,1,8,6,7,11,10,9,12,5]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,2,3,4,7,6,1,9,12,11,10,8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,2,3,7,5,6,1,11,10,9,12,8]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[2,1,3,9,7,6,8,5,4,10,12,11]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[3,2,4,1,10,8,7,9,6,5,11,12]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,1,3,5,10,8,7,9,6,4,12,11]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,2,4,5,1,11,9,8,10,7,6,12]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,5,10,8,7,9,6,4,12,11]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,3,1,5,11,9,8,10,7,6,12]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,5,3,4,1,11,9,8,10,7,6,12]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,2,1,4,6,11,9,8,10,7,12,5]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,3,1,5,11,9,8,10,7,12,6]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,4,3,5,10,8,7,9,6,1,12,11]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,2,4,5,1,11,9,8,10,7,12,6]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[2,5,3,4,10,8,7,9,6,1,12,11]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[3,2,4,1,10,8,7,9,6,11,12,5]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,3,9,7,6,8,5,1,11,12,10]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,4,3,5,7,6,2,1,9,11,10,12]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[2,9,5,4,6,8,7,3,1,11,10,12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[8,4,3,5,7,6,2,1,9,11,12,10]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[2,9,5,4,6,8,7,3,10,1,12,11]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[8,4,3,5,7,6,2,9,1,11,12,10]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,5,3,4,7,6,2,1,9,11,10,12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[2,9,6,4,5,8,7,3,1,11,10,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[8,5,3,4,7,6,2,1,9,11,12,10]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[2,9,6,4,5,8,7,3,10,1,12,11]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[8,5,3,4,7,6,2,9,1,11,12,10]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[2,1,3,12,7,6,5,8,10,9,11,4]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[2,3,1,12,7,6,5,8,10,9,11,4]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[2,1,3,12,6,8,7,5,10,9,11,4]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[2,3,1,12,6,8,7,5,10,9,11,4]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[2,1,3,12,7,6,5,8,10,11,9,4]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[2,3,1,12,7,6,5,8,10,11,9,4]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[2,1,3,12,6,8,7,9,5,11,10,4]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,12,6,8,7,9,5,11,10,4]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,1,3,12,7,6,8,5,10,11,9,4]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,1,12,7,6,8,5,10,11,9,4]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[11,3,2,4,7,6,5,8,10,9,1,12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[11,4,3,5,2,8,7,6,9,10,1,12]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[11,3,2,4,6,8,7,5,10,9,1,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[11,4,3,5,6,2,9,8,7,10,1,12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[11,3,4,2,6,8,7,5,10,9,1,12]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[11,5,3,4,2,6,9,8,7,10,1,12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[11,3,6,4,5,2,9,8,7,10,1,12]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[11,4,3,2,5,7,9,8,10,6,1,12]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[11,5,3,4,2,6,9,8,10,7,1,12]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[11,3,5,4,6,8,7,2,10,9,1,12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[11,4,3,5,6,2,9,8,10,7,1,12]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[11,3,6,4,5,8,7,2,10,9,1,12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[11,4,3,5,2,8,7,9,10,6,1,12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[11,5,3,4,7,6,2,9,10,8,1,12]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,7,6,8,11,10,9,12,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,2,4,3,7,6,8,9,12,11,10,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,8,6,5,7,11,10,9,12,1]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[6,2,3,5,4,8,7,9,12,11,10,1]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,8,6,5,7,11,10,9,12,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,5,7,6,8,12,9,11,10,1]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[8,3,5,4,2,7,6,10,9,11,12,1]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,2,4,9,6,5,7,8,12,11,10,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,5,8,6,7,12,9,11,10,1]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,4,3,2,5,7,6,8,11,10,12,1]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[6,2,3,5,4,9,7,8,12,11,10,1]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[9,3,5,4,2,7,6,8,11,10,12,1]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,2,4,3,9,6,7,8,12,11,10,1]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,3,2,4,8,6,7,12,9,11,10,1]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,8,6,7,5,9,12,11,10,1]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,4,3,2,5,10,8,9,7,11,12,1]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,4,9,5,7,8,6,12,11,10,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,11,9,10,8,12,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,2,3,9,5,7,8,6,12,11,10,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,3,5,4,6,2,8,11,10,9,12,1]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[8,2,4,6,5,7,3,11,10,9,12,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,11,9,10,8,12,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,2,5,4,6,3,11,9,10,8,12,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,2,5,12,6,8,7,9,11,10,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,4,3,5,2,7,12,9,8,10,11,1]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,3,2,5,12,6,8,9,7,11,10,1]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,4,3,5,6,2,8,12,10,9,11,1]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,3,4,2,6,12,8,9,7,11,10,1]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[9,2,4,3,5,7,6,8,12,11,10,1]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[8,3,2,4,5,7,6,12,9,11,10,1]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[10,2,5,4,6,3,8,7,9,12,11,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,12,8,9,11,10,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[9,4,3,5,2,7,6,8,12,10,11,1]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[9,2,4,3,5,7,8,6,12,11,10,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[6,3,2,4,5,12,8,9,7,11,10,1]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[10,2,5,4,6,7,3,9,8,12,11,1]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[9,2,4,5,3,7,8,6,12,11,10,1]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,2,4,12,7,6,8,10,9,11,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,12,8,9,11,10,1]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,2,4,12,7,8,6,10,9,11,1]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[8,3,4,5,2,7,6,12,9,11,10,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[8,3,4,2,6,7,5,12,10,9,11,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]=>[12,10,9,8,7,6,5,4,3,2,11,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11,12]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[12,11,5,4,6,7,8,9,10,3,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,11,9,12]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,9,11,10,12]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,4,12,5,11,7,9,8,10,6,3]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,2,4,12,6,10,7,9,8,11,5,3]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,12,6,8,7,10,9,11,5,4]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,6,4,5,12,8,10,9,11,7,3]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,2,12,4,6,10,7,9,8,5,11,3]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,3,12,5,7,6,10,9,8,11,4]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,12,5,6,4,8,10,9,7,11,3]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,7,5,6,3,12,10,9,11,8]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,5,3,7,6,12,10,9,11,8]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,4,2,6,12,8,10,9,11,7,5]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,12,6,8,10,9,7,11,5]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5,12,10,9,11,8]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,6,4,5,2,12,8,10,9,11,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,5,3,4,6,2,12,8,10,9,11,7]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,4,11,5,7,10,9,8,6,12,3]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,2,3,11,5,8,7,10,9,6,12,4]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,2,6,4,5,11,7,10,9,8,12,3]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,5,8,7,6,11,10,9,12,4]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,2,3,5,4,11,8,7,10,9,12,6]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,4,2,6,11,7,10,9,8,12,5]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,2,5,8,7,11,10,9,12,6]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,4,5,2,8,11,10,9,12,7]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,5,3,4,6,2,8,11,10,9,12,7]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,2,3,5,9,8,7,6,11,10,12,4]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,8,6,5,7,4,11,10,12,9]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,3,4,2,5,9,8,7,11,10,12,6]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,7,6,5,8,4,11,10,12,9]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,6,5,8,7,11,10,12,9]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,1,4,6,12,8,10,9,11,7,5]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,1,4,12,6,8,10,9,7,11,5]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,4,6,7,5,12,10,9,11,8]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,1,5,6,4,12,8,10,9,11,7]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,6,11,7,10,9,8,12,5]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,8,7,11,10,9,12,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,4,8,11,10,9,12,7]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,1,4,5,9,8,7,11,10,12,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,6,5,8,7,11,10,12,9]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,5,3,4,1,6,12,8,10,9,11,7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,3,4,1,6,8,11,10,9,12,7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,3,4,1,6,8,7,11,10,12,9]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6,12,8,10,9,11,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,5,1,6,8,11,10,9,12,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1,6,8,7,11,10,12,9]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,7,3,5,6,4,1,8,11,10,12,9]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,7,4,5,3,6,1,8,11,10,12,9]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[4,2,3,7,5,6,1,8,11,10,12,9]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,2,4,5,3,7,1,8,11,10,12,9]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,3,4,2,5,7,1,8,11,10,12,9]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,3,11,4,6,10,7,9,8,5,2,12]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,2,4,11,6,8,7,10,9,5,3,12]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,3,11,5,6,4,8,10,9,7,2,12]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,2,11,4,6,8,7,5,10,9,3,12]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,6,5,7,3,11,10,9,8,12]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,5,3,4,11,6,8,10,9,7,2,12]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,3,4,2,11,6,8,7,10,9,5,12]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,7,3,5,6,4,11,8,10,9,2,12]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,7,4,5,3,6,11,8,10,9,2,12]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,8,4,6,7,5,2,11,10,9,12]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,2,8,4,6,5,7,3,11,10,9,12]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,5,3,4,8,6,7,2,11,10,9,12]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,6,4,5,2,8,7,11,10,9,12]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,6,5,8,7,11,10,9,12]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,1,5,11,6,8,10,9,7,4,12]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,1,4,11,6,8,7,10,9,5,12]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,1,7,5,6,11,8,10,9,4,12]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,5,8,6,7,4,11,10,9,12]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,5,6,4,8,7,11,10,9,12]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,5,3,4,1,7,11,8,10,9,6,12]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,5,3,4,1,7,8,6,11,10,9,12]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[4,2,3,5,1,7,11,8,10,9,6,12]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[4,2,3,5,1,7,8,6,11,10,9,12]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,7,3,5,6,4,1,9,11,10,8,12]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,7,4,5,3,6,1,9,11,10,8,12]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,9,11,10,8,12]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[6,2,4,5,3,7,1,9,11,10,8,12]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,7,1,9,11,10,8,12]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,9,3,5,8,6,7,4,2,11,10,12]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,2,4,9,6,5,8,7,3,11,10,12]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,9,4,5,3,7,8,6,2,11,10,12]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,2,9,4,7,6,5,8,3,11,10,12]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,3,7,6,9,8,5,11,10,12]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,1,9,5,7,8,6,4,11,10,12]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[2,3,1,4,9,7,6,8,5,11,10,12]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,5,3,4,1,9,7,8,6,11,10,12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,5,1,9,7,8,6,11,10,12]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,8,7,6,5,9,3,11,10,12]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,7,5,4,6,3,9,8,11,10,12]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,4,8,7,6,9,5,11,10,12]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,6,5,4,7,3,9,8,11,10,12]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,7,3,5,6,4,1,9,8,11,12,10]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,7,4,5,3,6,1,9,8,11,12,10]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,2,3,7,5,6,1,9,8,11,12,10]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,2,4,5,3,7,1,9,8,11,12,10]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,3,4,2,5,7,1,9,8,11,12,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,8,9,12,10,11,1]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,11,8,5,6,4,7,9,3,10,12,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,11,1,12]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,12,10]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,4,7,6,11,9,10,12,8]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,9,7,8,6,11,12,10]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,5,4,11,7,9,10,8,12,6]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,3,2,5,4,11,8,9,7,10,12,6]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,7,5,6,4,9,8,11,12,10]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,4,11,9,10,12,8]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,3,2,9,5,7,8,6,4,11,12,10]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,9,6,7,5,8,4,11,12,10]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,2,11,5,7,10,8,9,6,12,4]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,11,5,9,7,8,10,6,12,4]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,11,6,7,5,9,10,8,12,4]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,11,6,9,7,8,5,10,12,4]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,2,11,8,6,7,9,5,10,12,4]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,6,9,8,11,12,10]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,2,7,6,11,9,10,12,8]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,9,7,8,6,11,12,10]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,5,3,4,2,11,7,9,10,8,12,6]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,3,4,2,11,8,9,7,10,12,6]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,7,3,5,6,4,2,9,8,11,12,10]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,7,3,5,6,4,2,11,9,10,12,8]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,7,4,5,3,6,2,9,8,11,12,10]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,7,4,5,3,6,2,11,9,10,12,8]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,9,3,5,8,6,7,4,2,11,12,10]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,9,3,7,5,6,8,4,2,11,12,10]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,9,4,5,3,7,8,6,2,11,12,10]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,9,4,7,5,6,3,8,2,11,12,10]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,9,6,4,5,7,3,8,2,11,12,10]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8,11,12,10]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,4,7,6,11,9,10,12,8]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,9,7,8,6,11,12,10]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,5,4,11,7,9,10,8,12,6]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,5,4,11,8,9,7,10,12,6]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,7,5,6,4,9,8,11,12,10]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,7,5,6,4,11,9,10,12,8]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,1,9,5,7,8,6,4,11,12,10]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[2,3,1,9,6,7,5,8,4,11,12,10]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,3,4,1,7,6,9,8,11,12,10]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,1,7,6,11,9,10,12,8]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,5,3,4,1,9,7,8,6,11,12,10]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,6,9,8,11,12,10]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1,7,6,11,9,10,12,8]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,9,7,8,6,11,12,10]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[2,11,3,5,10,6,8,9,7,4,12,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[2,11,3,5,10,7,8,6,9,4,12,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[2,11,3,7,5,6,10,8,9,4,12,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[2,11,3,9,5,7,8,6,10,4,12,1]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[2,11,3,9,6,7,5,8,10,4,12,1]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[2,11,4,5,3,7,10,8,9,6,12,1]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[2,11,4,5,3,9,7,8,10,6,12,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[2,11,4,7,5,6,3,9,10,8,12,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[2,11,6,4,5,7,3,9,10,8,12,1]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[2,11,4,9,5,7,8,6,3,10,12,1]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[2,11,4,9,6,7,5,8,3,10,12,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[2,11,6,4,5,9,7,8,3,10,12,1]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[2,11,8,4,6,7,5,9,3,10,12,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,3,11,5,7,10,8,9,6,12,1]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[4,2,3,11,5,9,7,8,10,6,12,1]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,3,11,6,7,5,9,10,8,12,1]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[4,2,3,11,6,9,7,8,5,10,12,1]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,2,3,11,8,6,7,9,5,10,12,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,11,7,9,10,8,12,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,2,4,5,3,11,8,9,7,10,12,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,4,2,5,11,7,9,10,8,12,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,11,8,9,7,10,12,1]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>[8,2,4,7,5,6,3,11,9,10,12,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[8,2,6,4,5,7,3,11,9,10,12,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[8,3,4,2,6,7,5,11,9,10,12,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[8,3,6,4,5,2,7,11,9,10,12,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[8,5,3,4,6,2,7,11,9,10,12,1]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[10,2,4,9,5,7,8,6,3,11,12,1]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>[10,2,4,9,6,7,5,8,3,11,12,1]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[10,2,6,4,5,9,7,8,3,11,12,1]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[10,2,8,4,6,7,5,9,3,11,12,1]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[10,2,8,5,6,4,7,9,3,11,12,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[10,3,4,2,6,9,7,8,5,11,12,1]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[10,3,4,2,8,6,7,9,5,11,12,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[10,3,6,4,5,2,8,9,7,11,12,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[10,5,3,4,6,2,8,9,7,11,12,1]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[10,3,8,4,6,7,5,2,9,11,12,1]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[10,3,8,5,6,4,7,2,9,11,12,1]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[10,5,3,4,8,6,7,2,9,11,12,1]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[10,7,3,5,6,4,8,2,9,11,12,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[10,7,4,5,3,6,8,2,9,11,12,1]
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Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
References
[1] Stump, C. More bijective Catalan combinatorics on permutations and on signed permutations MathSciNet:3153083 arXiv:0808.2822
Properties
injective, graded
Sage code
def mapping(elt): return elt.to_noncrossing_permutation()
Weight
26
Created
May 02, 2019 at 17:15 by Martin Rubey
Updated
Jan 19, 2020 at 07:28 by Martin Rubey
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