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]=>[1,1,0,1,0,0]
[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]=>[1,1,1,0,0,0]
[1,1,1,0,0,0]=>[1,0,1,0,1,0]
[1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0]=>[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]
[1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0]
[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]=>[1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0]=>[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]
[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]
[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]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[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]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[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]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[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]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[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]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[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]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[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]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[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]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[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]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[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]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[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]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[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]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[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]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[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]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[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]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[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]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[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]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[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]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[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]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[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]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[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]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[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]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[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]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[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]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[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]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[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]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[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]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[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]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[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]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[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]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[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]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[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]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[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]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[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]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[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]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[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]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[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]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[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]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[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]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[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]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[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]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[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]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[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]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[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]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[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]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[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]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[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]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[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]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[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]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[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]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[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]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[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]=>[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[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]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[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]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[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]=>[1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[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]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[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]=>[1,1,0,1,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[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]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[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]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[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]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[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]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[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]=>[1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[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]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[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]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
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Description
Return the Dyck path corresponding to the parallelogram polyomino obtained by applying Delest-Viennot's bijection.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
The Delest-Viennot bijection $\beta$ returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path $(\gamma^{(-1)}\circ\beta)(D)$.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
The Delest-Viennot bijection $\beta$ returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path $(\gamma^{(-1)}\circ\beta)(D)$.
References
[1] Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration MathSciNet:0774044
Properties
bijective, graded
Sage code
def mapping(dyck): if not dyck: pp = ParallelogramPolyomino([[1], [1]]) else: a = [] b = [0] h = 0 for i in range(len(dyck)-1): if dyck[i] == 1: h += 1 if dyck[i+1] == 0: a.append(h) else: if dyck[i+1] == 1: b.append(h) h -= 1 b.append(0) word_down = [] word_up = [] for i in range(len(a)): word_down.extend([0]*(a[i]-b[i]) + [1]) word_up.extend([1]+[0]*(a[i]-b[i+1])) pp = ParallelogramPolyomino([word_down, word_up]) return pp.to_dyck_word()
Weight
21
Created
May 05, 2021 at 20:52 by Martin Rubey
Updated
May 05, 2021 at 20:52 by Martin Rubey
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