Identifier
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-1
[]=>[]
[1,0]=>[1,0]
[1,0,1,0]=>[1,1,0,0]
[1,1,0,0]=>[1,0,1,0]
[1,0,1,0,1,0]=>[1,1,1,0,0,0]
[1,0,1,1,0,0]=>[1,1,0,0,1,0]
[1,1,0,0,1,0]=>[1,0,1,1,0,0]
[1,1,0,1,0,0]=>[1,0,1,0,1,0]
[1,1,1,0,0,0]=>[1,1,0,1,0,0]
[1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
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Description
Return the path that has a valley wherever the original path has a peak of height at least one.
More precisely, the height of a valley in the image is the height of the corresponding peak minus $2$.
This is also (the inverse of) rowmotion on Dyck paths regarded as order ideals in the triangular poset.
More precisely, the height of a valley in the image is the height of the corresponding peak minus $2$.
This is also (the inverse of) rowmotion on Dyck paths regarded as order ideals in the triangular poset.
Properties
bijective, graded
Sage code
def mapping(D): # determine non-minimal peaks and their heights h = 0 P = [(-2,0)] for i in range(len(D)-1): if D[i] == 1: if D[i+1] == 0 and h > 0: P.append((i, h)) h += 1 else: h -= 1 P.append((len(D), 0)) # create a Dyck path with valleys at these positions E = [] for k in range(len(P)-1): i0, h0 = P[k] i1, h1 = P[k+1] a = (i1-i0-2+h1-h0)//2 b = (i1-i0-2-(h1-h0))//2 E.extend([1]*a) E.extend([0]*b) E.extend([0,1]) return DyckWord(E[:-2])
Weight
21
Created
Apr 08, 2021 at 12:09 by Martin Rubey
Updated
Jan 06, 2023 at 11:45 by Martin Rubey
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