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Identifier
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=>
Cc0005;cc-rep-1
[1]=>[1,0] [1,1]=>[1,0,1,0] [2]=>[1,1,0,0] [1,1,1]=>[1,0,1,0,1,0] [1,2]=>[1,0,1,1,0,0] [2,1]=>[1,1,0,0,1,0] [3]=>[1,1,1,0,0,0] [1,1,1,1]=>[1,0,1,0,1,0,1,0] [1,1,2]=>[1,0,1,0,1,1,0,0] [1,2,1]=>[1,0,1,1,0,0,1,0] [1,3]=>[1,0,1,1,1,0,0,0] [2,1,1]=>[1,1,0,0,1,0,1,0] [2,2]=>[1,1,0,0,1,1,0,0] [3,1]=>[1,1,1,0,0,0,1,0] [4]=>[1,1,1,1,0,0,0,0] [1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0] [1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0] [1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0] [1,1,3]=>[1,0,1,0,1,1,1,0,0,0] [1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0] [1,2,2]=>[1,0,1,1,0,0,1,1,0,0] [1,3,1]=>[1,0,1,1,1,0,0,0,1,0] [1,4]=>[1,0,1,1,1,1,0,0,0,0] [2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0] [2,1,2]=>[1,1,0,0,1,0,1,1,0,0] [2,2,1]=>[1,1,0,0,1,1,0,0,1,0] [2,3]=>[1,1,0,0,1,1,1,0,0,0] [3,1,1]=>[1,1,1,0,0,0,1,0,1,0] [3,2]=>[1,1,1,0,0,0,1,1,0,0] [4,1]=>[1,1,1,1,0,0,0,0,1,0] [5]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0] [1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0] [1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0] [1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0] [1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0] [1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0] [1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0] [1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0] [1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0] [1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0] [1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0] [2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0] [2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0] [2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0] [2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0] [2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0] [2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0] [2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0] [2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0] [3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0] [3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0] [3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0] [3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0] [4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0] [4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0] [5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0] [6]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0] [2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0] [2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0] [2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0] [2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [3,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [3,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [3,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,1,2,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [3,1,3,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [3,1,4]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [3,2,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [3,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [3,2,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [3,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [3,3,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,3,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [3,4,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [3,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [4,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [4,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [4,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [4,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [4,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [4,2,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [4,3,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [5,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [5,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [5,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [5,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [6,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [6,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [7,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,1,2,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,1,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,1,2,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,1,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,1,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,1,4,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,1,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,1,2,1,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,1,2,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,1,1,2,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,1,2,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,1,2,3,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,1,1,2,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,1,1,3,1,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,1,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,1,1,3,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,4,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,4,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,5,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,6]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,2,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,2,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,1,2,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,2,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,1,2,1,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,1,2,1,3,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [1,1,2,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,1,2,2,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,2,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,1,2,2,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,2,3,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,2,4,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,1,2,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,3,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,3,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,1,3,1,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,1,3,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,1,3,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,3,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,1,3,4]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,4,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,4,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,4,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,1,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,5,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,5,2]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,6,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,7]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,2,1,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,1,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,2,1,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,2,1,1,2,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,1,1,3,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,2,1,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,2,1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,2,1,2,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,2,1,2,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,1,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,2,1,3,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,4,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,1,5]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,2,1,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,2,2,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,2,2,1,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,2,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,2,2,4]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,2,3,1,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,2,3,1,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,2,3,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,2,3,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,4,1,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,2,4,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,5,1]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,2,6]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,3,1,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,3,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,3,1,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [1,3,1,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,3,1,2,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [1,3,1,2,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,3,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [1,3,1,4]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,3,2,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [1,3,2,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [1,3,2,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,3,3,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [1,3,3,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,3,4,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,3,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,4,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [1,4,1,3]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,4,2,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [1,4,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,4,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [1,4,4]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,5,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,5,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,5,2,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [1,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,6,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,7,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,1,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [2,1,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,1,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,1,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,1,1,4]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,1,1,2,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [2,1,1,2,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [2,1,1,2,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,1,1,2,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,1,1,3,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [2,1,1,3,2]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [2,1,1,4,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,5]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [2,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,1,2,1,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,1,2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,1,2,1,3]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [2,1,2,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,1,2,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,1,2,3,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,4]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,1,3,1,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [2,1,3,1,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [2,1,3,2,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,1,3,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,1,4,1,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [2,1,4,2]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,1,5,1]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,6]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,2,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [2,2,1,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [2,2,1,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,2,1,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,2,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [2,2,1,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [2,2,1,3,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,4]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [2,2,2,1,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [2,2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,2,3,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,2,3,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,2,4,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,2,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,3,1,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [2,3,1,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [2,3,1,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,3]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [2,3,2,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [2,3,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [2,3,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,3,4]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,4,1,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [2,4,1,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [2,4,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [2,5,1,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [2,5,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [2,6,1]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,7]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [3,1,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [3,1,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,1,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [3,1,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,1,1,2,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [3,1,1,3,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [3,1,1,4]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [3,1,2,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [3,1,2,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [3,1,2,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [3,1,2,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,1,3,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,2]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [3,1,4,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [3,1,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [3,2,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [3,2,1,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [3,2,1,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [3,2,1,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [3,2,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [3,2,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [3,2,4]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,3,1,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [3,3,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [3,3,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [3,4,1,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,4,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [3,5,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [3,6]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [4,1,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [4,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [4,1,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [4,1,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [4,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [4,1,2,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [4,1,3,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [4,1,4]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [4,2,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [4,2,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [4,2,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [4,3,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [4,3,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [4,4,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [4,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [5,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] [5,1,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] [5,1,3]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [5,2,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] [5,2,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [5,3,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [5,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [6,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [6,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] [6,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] [6,3]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [7,1,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [7,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] [8,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [9]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,1,1,2,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,1,1,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,1,1,2,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,1,1,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,1,1,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,1,1,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,1,1,5]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,1,1,2,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,1,1,2,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,1,1,1,2,1,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,1,1,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,1,1,2,3,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,1,1,1,2,4]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,1,1,1,3,1,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,1,1,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,1,1,1,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,1,4,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,1,4,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,1,5,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,2,1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,2,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,2,1,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,2,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,2,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,2,1,3,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,2,1,4]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,2,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,2,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,2,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,2,3,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,2,3,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,2,4,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,2,5]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,3,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,3,1,1,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,1,1,3,1,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,1,1,3,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,3,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,1,1,3,2,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,3,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,1,1,3,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,4,1,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,1,4,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,1,1,4,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,5,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,5,2]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,6,1]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,7]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,2,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,1,1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,2,1,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,2,1,1,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,2,1,1,3,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,2,1,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,2,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,2,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,2,1,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,3,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,2,1,3,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,2,1,4,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,2,1,5]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,2,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,2,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,2,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,1,2,2,1,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,2,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,2,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,2,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,1,2,2,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,2,3,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,1,2,3,1,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,2,3,2,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,1,2,3,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,4,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,2,4,2]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,2,5,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,2,6]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,3,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,3,1,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,3,1,1,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [1,1,3,1,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [1,1,3,1,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,1,3,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [1,1,3,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,3,2,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [1,1,3,2,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,3,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [1,1,3,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,3,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,3,4,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,1,3,5]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,4,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,4,1,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,1,4,1,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [1,1,4,1,3]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,4,2,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [1,1,4,2,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,1,4,3,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [1,1,4,4]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,5,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,5,1,2]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,1,5,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [1,1,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,6,1,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,6,2]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,1,7,1]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,8]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,2,1,1,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,2,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,1,1,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,2,1,1,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,2,1,1,1,2,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,1,1,1,3,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,2,1,1,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,2,1,1,2,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,2,1,1,2,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,2,1,1,2,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,1,1,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,2,1,1,3,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,4,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,2,1,1,5]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,2,1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,2,1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,2,1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,1,2,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,2,1,2,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,1,2,3,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,2,1,2,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,2,1,3,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,2,1,3,1,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,2,1,3,2,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,2,1,3,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,1,4,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,2,1,4,2]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,5,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,2,1,6]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,2,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,2,2,1,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,2,2,1,1,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,2,2,1,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,2,2,1,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,2,2,1,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,2,1,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [1,2,2,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,2,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,2,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,2,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,2,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,2,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,4,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,2,2,5]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,2,3,1,1,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,2,3,1,1,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,2,3,1,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,2,3,1,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,2,3,2,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,2,3,2,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,3,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,2,3,4]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,2,4,1,1,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,2,4,1,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,2,4,2,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,2,4,3]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,2,5,1,1]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,2,5,2]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,6,1]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,2,7]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,3,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,3,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,3,1,1,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,3,1,1,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,3,1,1,2,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,3,1,1,2,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1,3,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,3,1,1,4]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,3,1,2,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,3,1,2,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,1,2,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,3,1,2,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,3,1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,3,1,3,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,3,1,4,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,3,1,5]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,3,2,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,3,2,1,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,3,2,1,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,3,2,1,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,3,2,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,3,2,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,3,2,3,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,3,2,4]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,3,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,3,3,1,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,3,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,3,4,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,3,4,2]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,3,5,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,3,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,4,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,4,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,4,1,1,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [1,4,1,1,3]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,4,1,2,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [1,4,1,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,4,1,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [1,4,1,4]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,4,2,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [1,4,2,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,4,2,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [1,4,2,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,4,3,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [1,4,3,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,4,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,4,5]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,5,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,5,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,5,1,2,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] [1,5,1,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,5,2,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] [1,5,2,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,5,3,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [1,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,6,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [1,6,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] [1,6,2,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] [1,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [1,7,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] [1,8,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,1,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,1,1,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [2,1,1,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,1,1,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,1,1,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,1,1,1,4]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,1,1,1,2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [2,1,1,1,2,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [2,1,1,1,2,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,1,1,1,2,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,1,1,1,3,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [2,1,1,1,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [2,1,1,1,4,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,1,5]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [2,1,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,1,1,2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,1,1,2,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,1,1,2,1,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [2,1,1,2,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,1,1,2,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,1,1,2,3,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,1,2,4]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,1,1,3,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [2,1,1,3,1,2]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [2,1,1,3,2,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,1,1,3,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,1,1,4,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [2,1,1,4,2]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,1,1,5,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,6]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,1,2,1,1,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [2,1,2,1,1,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [2,1,2,1,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,1,2,1,1,3]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,1,2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [2,1,2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [2,1,2,1,3,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,2,1,4]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [2,1,2,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [2,1,2,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [2,1,2,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,1,2,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,1,2,3,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,1,2,3,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,1,2,4,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,5]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,3,1,1,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [2,1,3,1,1,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [2,1,3,1,2,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,1,3,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [2,1,3,2,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [2,1,3,2,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [2,1,3,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,3,4]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,1,4,1,1,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [2,1,4,1,2]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [2,1,4,2,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,1,4,3]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [2,1,5,1,1]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [2,1,5,2]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [2,1,6,1]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,7]=>[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,2,1,1,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,2,1,1,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,2,1,1,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [2,2,1,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,2,1,1,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,2,1,1,3,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1,4]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,2,1,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [2,2,1,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [2,2,1,2,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,1,2,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,2,1,3,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [2,2,1,3,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [2,2,1,4,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,2,1,5]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [2,2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,2,2,1,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [2,2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,2,2,4]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,2,3,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [2,2,3,1,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [2,2,3,2,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,3,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,2,4,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [2,2,4,2]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,2,5,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,2,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,3,1,1,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [2,3,1,1,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [2,3,1,1,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,3,1,1,3]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [2,3,1,2,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [2,3,1,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [2,3,1,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,3,1,4]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [2,3,2,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [2,3,2,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [2,3,2,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,3,2,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [2,3,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [2,3,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [2,3,4,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,3,5]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [2,4,1,1,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [2,4,1,1,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [2,4,1,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,4,1,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [2,4,2,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [2,4,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [2,4,3,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,4,4]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [2,5,1,1,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [2,5,1,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [2,5,2,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [2,6,1,1]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [2,6,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [2,7,1]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [3,1,1,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,1,1,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [3,1,1,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,1,1,1,2,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [3,1,1,1,3,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [3,1,1,1,4]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [3,1,1,2,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [3,1,1,2,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [3,1,1,2,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [3,1,1,2,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,1,1,3,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,1,3,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [3,1,1,4,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [3,1,1,5]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [3,1,2,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [3,1,2,1,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [3,1,2,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [3,1,2,1,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [3,1,2,2,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,1,2,2,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [3,1,2,3,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [3,1,2,4]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,1,3,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [3,1,3,1,2]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [3,1,3,2,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [3,1,3,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [3,1,4,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,4,2]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [3,1,5,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [3,1,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,2,1,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [3,2,1,1,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [3,2,1,1,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [3,2,1,1,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [3,2,1,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,2,1,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [3,2,1,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [3,2,1,4]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [3,2,2,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [3,2,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [3,2,2,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [3,2,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [3,2,3,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,2,3,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [3,2,4,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [3,2,5]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [3,3,1,1,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,3,1,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [3,3,1,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [3,3,1,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [3,3,2,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,3,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,3,4]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,4,1,1,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [3,4,1,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [3,4,2,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [3,4,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [3,5,1,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,5,2]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [3,6,1]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [3,7]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [4,1,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [4,1,1,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [4,1,1,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [4,1,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1,2,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [4,1,1,3,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [4,1,1,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [4,1,2,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,1,2,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [4,1,2,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [4,1,2,3]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [4,1,3,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [4,1,3,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [4,1,4,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [4,1,5]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [4,2,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [4,2,1,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [4,2,1,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [4,2,1,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [4,2,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [4,2,2,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [4,2,3,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [4,2,4]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [4,3,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,3,1,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [4,3,2,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [4,3,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [4,4,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [4,4,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [4,5,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [4,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [5,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [5,1,1,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [5,1,1,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [5,1,1,3]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [5,1,2,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [5,1,2,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [5,1,3,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [5,1,4]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [5,2,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [5,2,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [5,2,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [5,2,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [5,3,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [5,3,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [5,4,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [6,1,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] [6,1,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [6,1,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] [6,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] [6,2,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0] [6,2,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] [6,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] [6,4]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [7,1,1,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] [7,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] [7,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] [7,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] [8,1,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [8,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] [9,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [10]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,10]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,8,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [1,7,2,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] [1,6,3,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] [1,5,4,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,4,5,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,3,6,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,2,7,1]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,8,1]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [10,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [1,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] [1,7,1,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] [1,6,1,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,5,1,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,4,1,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,3,1,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,1,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] [1,6,2,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,5,2,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,4,2,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,3,2,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,2,2,1,1,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,1,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,2,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,2,1,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,2,1,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,3,2,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,1,3,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,2,1,2,3,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,1,4,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,1,1,2,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,2,1,1,1,5]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,3,2,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,3,2,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,3,1,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,3,2,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,2,3,1,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,2,2,3,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,2,2,2,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,4,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,2,1,3,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,5]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,4,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,4,1,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,3,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,3,2,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,3,1,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,4,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,2,3,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,2,2,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,5]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,5,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,1,4,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,1,3,4]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,2,5]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,1,1,1,1,2,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,1,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,1,1,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,1,1,2,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,2,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,2,1,2,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,1,3,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,1,3,2,1,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,1,3,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,4,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,2,2,1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,2,2,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,2,2,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,2,2,3,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,2,1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,2,1,1,1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,2,1,1,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,1,1,1,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,2,3,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,2,1,2,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,2,1,2,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,2,1,3,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,3,3,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,3,3,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,3,2,1,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,1,3,2,1,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,3,2,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,3,1,1,2,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,3,1,1,1,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,4,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,4,3,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,4,2,1,3]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4,1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,5,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,2,1,1,1,1,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,2,1,1,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,2,1,1,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,2,1,1,3,3]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,2,2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,2,2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,2,2,1,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,2,2,1,1,1,1,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,2,2,1,2,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,2,3,3,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [2,2,3,2,1,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [2,2,3,1,1,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [2,2,4,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [2,1,1,2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [2,1,1,2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [2,1,1,2,2,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [2,1,1,2,2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [2,1,1,2,3,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,1,1,1,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [2,1,1,1,1,2,2,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,1,1,1,1,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [2,1,1,1,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1,2,3]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [2,1,1,1,2,3,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [2,1,1,1,2,2,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [2,1,1,1,2,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [2,1,1,1,3,4]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,1,2,3,1,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [2,1,2,3,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [2,1,2,2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [2,1,2,2,1,1,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [2,1,2,2,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,1,2,1,1,3,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [2,1,2,1,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [2,1,2,1,1,1,1,3]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [2,1,2,1,2,4]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,1,3,4,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [2,1,3,3,1,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [2,1,3,2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [2,1,3,1,1,4]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [2,1,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,3,1,1,1,1,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [3,3,1,1,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [3,3,2,2,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,3,2,1,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [3,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [3,2,1,2,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [3,2,1,2,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [3,2,1,1,1,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,2,1,1,1,1,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,2,1,1,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,2,2,3,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,2,2,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [3,2,2,1,1,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [3,2,3,4]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,1,1,3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,1,1,3,2,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,1,1,2,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,1,1,2,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [3,1,1,2,2,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [3,1,1,1,1,3,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,1,1,1,2,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [3,1,1,1,1,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [3,1,1,1,2,4]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,1,2,4,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2,3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [3,1,2,2,1,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [3,1,2,1,1,4]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [3,1,3,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [4,4,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [4,4,2,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [4,3,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [4,3,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [4,3,2,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [4,2,1,3,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [4,2,1,2,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [4,2,1,1,1,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [4,2,2,4]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [4,1,1,4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [4,1,1,3,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [4,1,1,2,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [4,1,1,1,1,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [4,1,2,5]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [5,5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [5,4,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [5,3,1,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [5,2,1,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [5,1,1,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,2,2,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,2,2,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,3,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,2,2,3,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,4,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,2,3,3,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,2,3,4,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,3,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,2,3,2,2,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,3,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,4,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,2,4,3,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,4,2,3]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,3,3,2,2,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [1,3,3,3,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,3,4,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [1,3,4,2,2]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,3,5,3]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,3,2,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,3,2,4,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,3,2,2,3,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,3,2,2,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,3,2,3,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,3,3,4,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,3,3,2,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,3,4,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,4,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,4,5,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,4,3,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,4,3,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,4,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,4,2,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,4,2,3,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,4,2,2,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,4,3,4]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,5,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,5,3,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [2,3,2,2,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,3,2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [2,3,3,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,3,3,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [2,3,4,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [2,4,3,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,4,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,4,2,3,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,4,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [2,4,3,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,5,4,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,5,3,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [2,5,2,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [2,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [2,2,3,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,3,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [2,2,4,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,2,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [2,2,5,3]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [2,2,2,3,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2,4,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [2,2,2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,2,2,3,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,2,3,4,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,2,3,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [2,3,4,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,3,5,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [2,3,2,4,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,3,2,2,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [2,3,3,4]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,4,5,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,4,2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [2,5,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,4,2,2,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [3,4,3,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [3,5,3,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [3,5,2,2]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [3,6,3]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [3,3,3,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [3,3,4,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [3,3,2,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [3,3,2,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [3,4,4,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [3,4,2,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [3,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [3,2,4,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [3,2,5,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [3,2,3,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [3,2,3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [3,2,4,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [3,2,2,4,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [3,2,2,3,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [3,2,2,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [3,3,5,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [3,3,2,4]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [4,5,2,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [4,6,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [4,4,3,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [4,5,3]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [4,3,4,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [4,3,3,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,2,5,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [4,2,4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [4,2,3,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [4,3,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [5,6,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [5,5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [5,3,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [5,2,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,11]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] [1,8,1,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0] [1,7,1,1,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,6,1,1,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,1,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,4,1,1,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,3,1,1,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,1,1,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,2,2,2,2,2,2]=>[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] [1,2,2,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,2,2,1,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,2,1,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,2,2,1,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,2,2,1,3,2,2]=>[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] [1,2,2,1,3,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,2,2,1,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,2,1,2,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,2,1,1,4,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,2,1,1,3,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,2,1,1,2,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,2,2,1,1,1,5]=>[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] [1,2,1,3,2,2,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,1,3,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,2,1,3,1,3,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,2,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,2,1,3,1,1,4]=>[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] [1,2,1,2,3,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,1,2,3,1,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,2,1,2,2,3,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,2,3]=>[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] [1,2,1,2,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,2,1,4,2]=>[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] [1,2,1,2,1,3,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,1,2,1,2,4]=>[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] [1,2,1,2,1,1,5]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,2,1,1,4,2,2]=>[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] [1,2,1,1,4,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,2,1,1,3,3,2]=>[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] [1,2,1,1,3,2,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,2,1,1,3,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,2,1,1,2,4,2]=>[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] [1,2,1,1,2,3,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,2,1,1,2,2,4]=>[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] [1,2,1,1,2,1,5]=>[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] [1,2,1,1,1,5,2]=>[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] [1,2,1,1,1,4,3]=>[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] [1,2,1,1,1,3,4]=>[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] [1,2,1,1,1,2,5]=>[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] [1,2,1,1,1,1,6]=>[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] [1,1,3,2,2,2,2]=>[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] [1,1,3,2,2,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,3,2,1,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,2,1,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,3,1,3,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,3,1,3,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,3,1,2,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,2,1,4]=>[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] [1,1,3,1,1,4,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,3,1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,3,1,1,2,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,3,1,1,1,5]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,2,3,2,2,2]=>[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] [1,1,2,3,2,1,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,2,3,1,3,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,2,3,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,1,4]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,2,3,2,2]=>[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] [1,1,2,2,3,1,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,2,2,2,3,2]=>[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] [1,1,2,2,2,2,3]=>[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] [1,1,2,2,2,1,4]=>[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] [1,1,2,2,1,4,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,2,2,1,3,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2,1,2,4]=>[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] [1,1,2,2,1,1,5]=>[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] [1,1,2,1,4,2,2]=>[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] [1,1,2,1,4,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,2,1,3,3,2]=>[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] [1,1,2,1,3,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,3,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,2,4,2]=>[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] [1,1,2,1,2,3,3]=>[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] [1,1,2,1,2,2,4]=>[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] [1,1,2,1,2,1,5]=>[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] [1,1,2,1,1,5,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,2,1,1,4,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,3,4]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,2,5]=>[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] [1,1,2,1,1,1,6]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,4,2,2,2]=>[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] [1,1,1,4,2,1,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,4,1,3,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,4,1,2,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,4,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3,2,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,3,3,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,3,2,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,3,2,2,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,3,2,1,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,4,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,3,1,3,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,3,1,2,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,5]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,4,2,2]=>[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] [1,1,1,2,4,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,2,3,3,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,2,3,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,2,3,1,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,4,2]=>[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] [1,1,1,2,2,3,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,2,2,2,4]=>[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] [1,1,1,2,2,1,5]=>[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] [1,1,1,2,1,5,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,2,1,4,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,2,1,3,4]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,5]=>[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] [1,1,1,2,1,1,6]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,5,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,1,5,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,1,4,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,1,4,2,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,1,4,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,3,4,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,1,3,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,1,3,2,4]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,3,1,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,5,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,1,2,4,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,1,2,3,4]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,2,2,5]=>[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] [1,1,1,1,2,1,6]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,6,2]=>[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] [1,1,1,1,1,5,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,1,1,1,4,4]=>[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] [1,1,1,1,1,3,5]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,2,6]=>[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] [1,1,1,1,1,1,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The bounce path determined by an integer composition.
Properties
injective, graded
Sage code
def mapping(c):
    return DyckWord(sum([[1]*a + [0]*a for a in c], []))
Weight
40
Created
May 11, 2021 at 15:03 by Martin Rubey
Updated
May 11, 2021 at 15:03 by Martin Rubey