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Identifier
Mp00043: Integer partitions to Dyck path Dyck paths
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=>
Cc0002;cc-rep-0Cc0005;cc-rep-1
[]=>[] [1]=>[1,0,1,0] [2]=>[1,1,0,0,1,0] [1,1]=>[1,0,1,1,0,0] [3]=>[1,1,1,0,0,0,1,0] [2,1]=>[1,0,1,0,1,0] [1,1,1]=>[1,0,1,1,1,0,0,0] [4]=>[1,1,1,1,0,0,0,0,1,0] [3,1]=>[1,1,0,1,0,0,1,0] [2,2]=>[1,1,0,0,1,1,0,0] [2,1,1]=>[1,0,1,1,0,1,0,0] [1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0] [5]=>[1,1,1,1,1,0,0,0,0,0,1,0] [4,1]=>[1,1,1,0,1,0,0,0,1,0] [3,2]=>[1,1,0,0,1,0,1,0] [3,1,1]=>[1,0,1,1,0,0,1,0] [2,2,1]=>[1,0,1,0,1,1,0,0] [2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0] [1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0] [6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [5,1]=>[1,1,1,1,0,1,0,0,0,0,1,0] [4,2]=>[1,1,1,0,0,1,0,0,1,0] [4,1,1]=>[1,1,0,1,1,0,0,0,1,0] [3,3]=>[1,1,1,0,0,0,1,1,0,0] [3,2,1]=>[1,0,1,0,1,0,1,0] [3,1,1,1]=>[1,0,1,1,1,0,0,1,0,0] [2,2,2]=>[1,1,0,0,1,1,1,0,0,0] [2,2,1,1]=>[1,0,1,1,0,1,1,0,0,0] [2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [6,1]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [5,2]=>[1,1,1,1,0,0,1,0,0,0,1,0] [5,1,1]=>[1,1,1,0,1,1,0,0,0,0,1,0] [4,3]=>[1,1,1,0,0,0,1,0,1,0] [4,2,1]=>[1,1,0,1,0,1,0,0,1,0] [4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0] [3,3,1]=>[1,1,0,1,0,0,1,1,0,0] [3,2,2]=>[1,1,0,0,1,1,0,1,0,0] [3,2,1,1]=>[1,0,1,1,0,1,0,1,0,0] [3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,0,0] [2,2,2,1]=>[1,0,1,0,1,1,1,0,0,0] [2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,0] [2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [7,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [6,2]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [6,1,1]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [5,3]=>[1,1,1,1,0,0,0,1,0,0,1,0] [5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,0] [5,1,1,1]=>[1,1,0,1,1,1,0,0,0,0,1,0] [4,4]=>[1,1,1,1,0,0,0,0,1,1,0,0] [4,3,1]=>[1,1,0,1,0,0,1,0,1,0] [4,2,2]=>[1,1,0,0,1,1,0,0,1,0] [4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0] [4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,0] [3,3,2]=>[1,1,0,0,1,0,1,1,0,0] [3,3,1,1]=>[1,0,1,1,0,0,1,1,0,0] [3,2,2,1]=>[1,0,1,0,1,1,0,1,0,0] [3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,0] [3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0] [2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,0,0] [2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [9]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [8,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [7,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [7,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [6,3]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [6,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [6,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [5,4]=>[1,1,1,1,0,0,0,0,1,0,1,0] [5,3,1]=>[1,1,1,0,1,0,0,1,0,0,1,0] [5,2,2]=>[1,1,1,0,0,1,1,0,0,0,1,0] [5,2,1,1]=>[1,1,0,1,1,0,1,0,0,0,1,0] [5,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0] [4,4,1]=>[1,1,1,0,1,0,0,0,1,1,0,0] [4,3,2]=>[1,1,0,0,1,0,1,0,1,0] [4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0] [4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0] [4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,0] [4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0] [3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0] [3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,0,0,0] [3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,0,0] [3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,0,0,0] [3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] [2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0] [2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [10]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [9,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [8,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] [8,1,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] [7,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [7,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [7,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [6,2,2]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [6,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [6,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [5,4,1]=>[1,1,1,0,1,0,0,0,1,0,1,0] [5,3,2]=>[1,1,1,0,0,1,0,1,0,0,1,0] [5,3,1,1]=>[1,1,0,1,1,0,0,1,0,0,1,0] [5,2,2,1]=>[1,1,0,1,0,1,1,0,0,0,1,0] [5,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0,1,0] [5,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [4,4,2]=>[1,1,1,0,0,1,0,0,1,1,0,0] [4,4,1,1]=>[1,1,0,1,1,0,0,0,1,1,0,0] [4,3,3]=>[1,1,1,0,0,0,1,1,0,1,0,0] [4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0] [4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,0] [4,2,2,2]=>[1,1,0,0,1,1,1,0,0,1,0,0] [4,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,1,0,0] [4,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [4,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [3,3,3,1]=>[1,1,0,1,0,0,1,1,1,0,0,0] [3,3,2,2]=>[1,1,0,0,1,1,0,1,1,0,0,0] [3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,0,0,0] [3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,0,0] [3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [11]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [10,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [9,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] [9,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] [8,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] [8,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] [7,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [7,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] [7,2,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] [7,2,1,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] [7,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [6,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [6,4,1]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [6,3,1,1]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [6,2,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [6,2,1,1,1]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [6,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [5,5,1]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [5,4,2]=>[1,1,1,0,0,1,0,0,1,0,1,0] [5,4,1,1]=>[1,1,0,1,1,0,0,0,1,0,1,0] [5,3,3]=>[1,1,1,0,0,0,1,1,0,0,1,0] [5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0] [5,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,0,1,0] [5,2,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,0] [5,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,0,1,0] [5,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [5,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [4,4,3]=>[1,1,1,0,0,0,1,0,1,1,0,0] [4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,0,0] [4,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0] [4,3,3,1]=>[1,1,0,1,0,0,1,1,0,1,0,0] [4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,0,0] [4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,0] [4,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [4,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [4,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [3,3,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0] [3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0] [3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,0,0,0] [3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] [3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] [2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [12]=>[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] [11,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] [9,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] [8,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] [8,2,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] [7,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] [7,3,1,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [7,2,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] [7,2,1,1,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] [7,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [6,5,1]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [6,4,2]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [6,4,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [6,3,3]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [6,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0] [6,3,1,1,1]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [6,2,2,2]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [6,2,2,1,1]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [6,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [6,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [5,5,2]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [5,5,1,1]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0] [5,4,2,1]=>[1,1,0,1,0,1,0,0,1,0,1,0] [5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0] [5,3,3,1]=>[1,1,0,1,0,0,1,1,0,0,1,0] [5,3,2,2]=>[1,1,0,0,1,1,0,1,0,0,1,0] [5,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,0,1,0] [5,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [5,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0] [5,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [5,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] [5,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [4,4,3,1]=>[1,1,0,1,0,0,1,0,1,1,0,0] [4,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0] [4,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,1,0,0] [4,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [4,3,3,2]=>[1,1,0,0,1,0,1,1,0,1,0,0] [4,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,1,0,0] [4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,0] [4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0] [4,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [4,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [4,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [4,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [4,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [4,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] [3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0] [3,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [3,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [3,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [3,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] [3,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [3,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [3,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] [3,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] [2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1]=>[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] [13]=>[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] [12,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [11,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0] [11,1,1]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0] [10,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] [9,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] [9,2,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0] [9,2,1,1]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] [8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] [8,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] [8,3,1,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] [8,2,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1,1,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [7,5,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] [7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] [7,4,1,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] [7,3,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [7,3,1,1,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] [7,2,2,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] [7,2,2,1,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] [7,2,1,1,1,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] [7,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [6,6,1]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [6,5,2]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [6,5,1,1]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [6,4,3]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [6,4,2,1]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0] [6,4,1,1,1]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [6,3,3,1]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [6,3,2,2]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [6,3,2,1,1]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0] [6,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [6,2,2,2,1]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [6,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [6,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [6,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [5,5,3]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [5,5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0] [5,5,1,1,1]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [5,4,4]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0] [5,4,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,0] [5,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0,1,0] [5,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [5,3,3,2]=>[1,1,0,0,1,0,1,1,0,0,1,0] [5,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0] [5,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,0,1,0] [5,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0] [5,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] [5,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [5,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [5,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] [5,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [5,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] [4,4,4,1]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,0,0] [4,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0] [4,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0] [4,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [4,4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] [4,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,0] [4,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [4,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0] [4,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0] [4,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [4,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [4,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [4,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] [4,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] [4,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] [3,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [3,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [3,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [3,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [3,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [3,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] [3,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [3,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] [3,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [3,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] [3,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] [3,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0] [14]=>[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] [13,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [12,2]=>[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] [12,1,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [11,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0] [11,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [11,1,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0] [10,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0] [10,2,2]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] [9,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0] [9,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] [9,3,1,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0] [9,2,2,1]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] [9,2,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] [8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0] [8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] [8,4,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0] [8,3,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] [8,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] [8,3,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0] [8,2,2,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,1,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] [7,6,1]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [7,5,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] [7,5,1,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] [7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] [7,4,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] [7,4,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] [7,3,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [7,3,2,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] [7,3,2,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] [7,3,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] [7,2,2,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] [7,2,2,1,1,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] [7,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] [7,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [6,6,2]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] [6,6,1,1]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] [6,5,3]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [6,5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0] [6,5,1,1,1]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [6,4,4]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [6,4,3,1]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0] [6,4,2,2]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [6,4,2,1,1]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0] [6,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [6,3,3,2]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [6,3,3,1,1]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [6,3,2,2,1]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0] [6,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0] [6,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [6,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [6,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [6,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] [6,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [6,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] [5,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [5,5,3,1]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0] [5,5,2,2]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [5,5,2,1,1]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0] [5,5,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [5,4,4,1]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0] [5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0] [5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0] [5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0] [5,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0] [5,4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] [5,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [5,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0] [5,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [5,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0] [5,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0] [5,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] [5,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [5,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [5,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [5,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [5,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] [5,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] [4,4,4,2]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [4,4,4,1,1]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [4,4,3,3]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0] [4,4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [4,4,2,2,2]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [4,4,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [4,4,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] [4,4,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [4,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0] [4,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0] [4,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0] [4,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] [4,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0] [4,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [4,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [4,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] [4,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] [4,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] [4,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [4,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] [4,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] [4,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] [3,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [3,3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [3,3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [3,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [3,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] [3,3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] [3,3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] [3,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] [3,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] [3,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [3,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] [3,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1,1,1]=>[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] [2,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[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] [15]=>[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] [14,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,2]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [12,3]=>[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] [12,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [12,1,1,1]=>[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [11,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0] [11,3,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0] [11,2,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0] [11,2,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [11,1,1,1,1]=>[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0] [10,4,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0] [10,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0] [10,3,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0] [10,2,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1,1,1,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] [9,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0] [9,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0] [9,4,1,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] [9,3,3]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] [9,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] [9,3,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,0] [9,2,2,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] [9,2,2,1,1]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0] [9,2,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1,1,1,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [8,6,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] [8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0] [8,5,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0] [8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0] [8,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] [8,4,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] [8,3,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] [8,3,2,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] [8,3,2,1,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] [8,3,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [8,2,2,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,1,1,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [7,7,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] [7,6,2]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] [7,6,1,1]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] [7,5,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] [7,5,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] [7,5,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] [7,4,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [7,4,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] [7,4,2,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] [7,4,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] [7,4,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] [7,3,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] [7,3,3,1,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] [7,3,2,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] [7,3,2,1,1,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] [7,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] [7,2,2,2,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] [7,2,2,2,1,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] [7,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] [7,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [7,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] [6,6,3]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] [6,6,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [6,6,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] [6,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [6,5,3,1]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0] [6,5,2,2]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [6,5,2,1,1]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0] [6,5,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [6,4,4,1]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0] [6,4,3,2]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0] [6,4,3,1,1]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0] [6,4,2,2,1]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0] [6,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0] [6,4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] [6,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [6,3,3,2,1]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0] [6,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [6,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0] [6,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0] [6,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [6,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [6,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [6,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [6,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [6,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] [6,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] [5,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [5,5,4,1]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0] [5,5,3,2]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0] [5,5,3,1,1]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0] [5,5,2,2,1]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0] [5,5,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0] [5,5,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [5,4,4,2]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0] [5,4,4,1,1]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0] [5,4,3,3]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0] [5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0] [5,4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0] [5,4,2,2,2]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0] [5,4,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0] [5,4,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] [5,4,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [5,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0] [5,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0] [5,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0] [5,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] [5,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0] [5,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] [5,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] [5,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] [5,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [5,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] [5,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [5,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] [5,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] [5,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] [4,4,4,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [4,4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0] [4,4,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [4,4,3,3,1]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0] [4,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0] [4,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0] [4,4,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] [4,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [4,4,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] [4,4,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [4,4,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] [4,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0] [4,3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0] [4,3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0] [4,3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [4,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] [4,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [4,3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] [4,3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] [4,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] [4,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] [4,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [4,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] [4,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] [4,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] [4,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] [4,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] [3,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [3,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [3,3,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [3,3,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] [3,3,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] [3,3,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [3,3,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] [3,3,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] [3,3,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [3,3,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] [3,3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] [3,3,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] [3,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [3,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [3,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] [3,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [2,2,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [2,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1,1,1,1]=>[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] [2,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[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] [16]=>[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] [15,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [14,2]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [14,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,3]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [13,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [12,4]=>[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] [12,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0] [12,2,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [12,2,1,1]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [12,1,1,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [11,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0] [11,4,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0] [11,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0] [11,3,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] [11,2,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] [11,2,1,1,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [11,1,1,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0] [10,5,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0] [10,4,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0] [10,4,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0] [10,3,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0] [10,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0] [10,3,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] [10,2,2,2]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,2,1,1]=>[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,1,1,1,1]=>[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] [9,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0] [9,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] [9,5,1,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0] [9,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0] [9,4,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0] [9,4,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0] [9,3,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0] [9,3,2,2]=>[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0] [9,3,2,1,1]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0] [9,3,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] [9,2,2,2,1]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0] [9,2,2,1,1,1]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] [9,2,1,1,1,1,1]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] [8,7,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] [8,6,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0] [8,6,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] [8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] [8,5,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] [8,5,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0] [8,4,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0] [8,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0] [8,4,2,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0] [8,4,2,1,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0] [8,4,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [8,3,3,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] [8,3,3,1,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] [8,3,2,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0] [8,3,2,1,1,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [8,3,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [8,2,2,2,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,2,1,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,1,1,1,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [8,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] [7,7,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] [7,7,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] [7,6,3]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] [7,6,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] [7,6,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] [7,5,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [7,5,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [7,5,2,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] [7,5,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] [7,5,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] [7,4,4,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [7,4,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] [7,4,3,1,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] [7,4,2,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] [7,4,2,1,1,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] [7,4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] [7,3,3,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] [7,3,3,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] [7,3,3,1,1,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] [7,3,2,2,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] [7,3,2,2,1,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] [7,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] [7,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [7,2,2,2,2,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] [7,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] [7,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [7,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] [7,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] [6,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] [6,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] [6,6,2,2]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] [6,6,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] [6,6,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] [6,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] [6,5,4,1]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0] [6,5,3,2]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0] [6,5,3,1,1]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0] [6,5,2,2,1]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0] [6,5,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0] [6,5,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [6,4,4,2]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0] [6,4,4,1,1]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0] [6,4,3,3]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0] [6,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0] [6,4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0] [6,4,2,2,2]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0] [6,4,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0] [6,4,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] [6,4,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [6,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0] [6,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0] [6,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0] [6,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] [6,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0] [6,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [6,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] [6,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] [6,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [6,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] [6,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [6,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0] [6,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] [6,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] [5,5,5,1]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [5,5,4,2]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0] [5,5,4,1,1]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0] [5,5,3,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [5,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0] [5,5,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0] [5,5,2,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [5,5,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0] [5,5,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] [5,5,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [5,4,4,3]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0] [5,4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0] [5,4,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0] [5,4,3,3,1]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0] [5,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0] [5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0] [5,4,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] [5,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0] [5,4,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] [5,4,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [5,4,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] [5,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0] [5,3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0] [5,3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0] [5,3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] [5,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] [5,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] [5,3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] [5,3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [5,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] [5,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] [5,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] [5,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [5,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] [5,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0] [5,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] [5,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0] [4,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,4,4,3,1]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0] [4,4,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [4,4,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0] [4,4,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] [4,4,3,3,2]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0] [4,4,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0] [4,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0] [4,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [4,4,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] [4,4,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] [4,4,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] [4,4,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [4,4,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] [4,4,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] [4,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [4,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0] [4,3,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [4,3,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] [4,3,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] [4,3,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] [4,3,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] [4,3,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [4,3,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [4,3,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] [4,3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] [4,3,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] [4,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] [4,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [4,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] [4,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0] [4,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0] [4,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0] [4,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0] [3,3,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] [3,3,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] [3,3,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] [3,3,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [3,3,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [3,3,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] [3,3,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] [3,3,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] [3,3,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [3,3,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] [3,3,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,3,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] [3,3,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] [3,3,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0] [3,2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [3,2,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] [3,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0] [3,2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [17]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [16,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [15,2]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [15,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [14,3]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [14,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [14,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,4]=>[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0] [13,3,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [13,2,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,2,1,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [13,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] [12,5]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0] [12,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0] [12,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [12,3,1,1]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0] [12,2,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [12,2,1,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] [12,1,1,1,1,1]=>[1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [11,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0] [11,5,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0] [11,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0] [11,4,1,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0] [11,3,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0] [11,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] [11,3,1,1,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] [11,2,2,2]=>[1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [11,2,2,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] [11,2,1,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] [11,1,1,1,1,1,1]=>[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0] [10,6,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0] [10,5,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0] [10,5,1,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0] [10,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0] [10,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0] [10,4,1,1,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] [10,3,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0] [10,3,2,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0] [10,3,2,1,1]=>[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] [10,3,1,1,1,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] [10,2,2,2,1]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,2,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] [10,2,1,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [10,1,1,1,1,1,1,1]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [9,8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [9,7,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] [9,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0] [9,6,1,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0] [9,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0] [9,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0] [9,5,1,1,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0] [9,4,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0] [9,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0] [9,4,2,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0] [9,4,2,1,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0] [9,4,1,1,1,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] [9,3,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0] [9,3,3,1,1]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0] [9,3,2,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0] [9,3,2,1,1,1]=>[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] [9,3,1,1,1,1,1]=>[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] [9,2,2,2,2]=>[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0] [9,2,2,2,1,1]=>[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] [9,2,2,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] [9,2,1,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [9,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [8,8,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] [8,7,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] [8,7,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] [8,6,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0] [8,6,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] [8,6,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0] [8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] [8,5,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] [8,5,2,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0] [8,5,2,1,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] [8,5,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [8,4,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0] [8,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] [8,4,3,1,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] [8,4,2,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0] [8,4,2,1,1,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] [8,4,1,1,1,1,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [8,3,3,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] [8,3,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] [8,3,3,1,1,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0] [8,3,2,2,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0] [8,3,2,2,1,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] [8,3,2,1,1,1,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [8,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [8,2,2,2,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,2,1,1,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [8,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [8,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] [8,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] [7,7,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] [7,7,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] [7,7,1,1,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] [7,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] [7,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] [7,6,2,2]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] [7,6,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] [7,6,1,1,1,1]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] [7,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [7,5,4,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] [7,5,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] [7,5,3,1,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] [7,5,2,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] [7,5,2,1,1,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] [7,5,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] [7,4,4,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] [7,4,4,1,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] [7,4,3,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] [7,4,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] [7,4,3,1,1,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] [7,4,2,2,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] [7,4,2,2,1,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] [7,4,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] [7,4,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [7,3,3,3,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] [7,3,3,2,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] [7,3,3,2,1,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] [7,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [7,3,2,2,2,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] [7,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] [7,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] [7,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] [7,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [7,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] [7,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] [7,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] [7,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] [7,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] [6,6,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [6,6,4,1]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] [6,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] [6,6,3,1,1]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [6,6,2,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] [6,6,2,1,1,1]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] [6,6,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [6,5,5,1]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] [6,5,4,2]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0] [6,5,4,1,1]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0] [6,5,3,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [6,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0] [6,5,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0] [6,5,2,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [6,5,2,2,1,1]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0] [6,5,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [6,5,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [6,4,4,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [6,4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0] [6,4,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [6,4,3,3,1]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0] [6,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0] [6,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0] [6,4,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] [6,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0] [6,4,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] [6,4,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] [6,4,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0] [6,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [6,3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [6,3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0] [6,3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [6,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [6,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] [6,3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] [6,3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] [6,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] [6,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0] [6,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [6,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [6,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] [6,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0] [6,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] [6,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0] [5,5,5,2]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [5,5,5,1,1]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] [5,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [5,5,4,2,1]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0] [5,5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [5,5,3,3,1]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0] [5,5,3,2,2]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0] [5,5,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0] [5,5,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] [5,5,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [5,5,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] [5,5,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [5,5,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] [5,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] [5,4,4,3,1]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0] [5,4,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0] [5,4,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0] [5,4,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] [5,4,3,3,2]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0] [5,4,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0] [5,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0] [5,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [5,4,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [5,4,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] [5,4,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] [5,4,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] [5,4,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] [5,4,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0] [5,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] [5,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0] [5,3,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] [5,3,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [5,3,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] [5,3,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] [5,3,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] [5,3,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] [5,3,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] [5,3,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] [5,3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0] [5,3,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0] [5,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [5,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [5,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0] [5,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] [5,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0] [5,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0] [5,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0] [4,4,4,4,1]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] [4,4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [4,4,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [4,4,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [4,4,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] [4,4,4,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [4,4,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] [4,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0] [4,4,3,3,1,1,1]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] [4,4,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] [4,4,3,2,2,1,1]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] [4,4,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [4,4,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] [4,4,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] [4,4,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [4,4,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] [4,4,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] [4,4,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] [4,3,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] [4,3,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] [4,3,3,3,2,1,1]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] [4,3,3,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] [4,3,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [4,3,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] [4,3,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] [4,3,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] [4,3,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [4,3,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] [4,3,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] [4,3,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] [4,3,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0] [4,3,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0] [4,2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] [4,2,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [4,2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0] [4,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0] [4,2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0] [4,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0] [4,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0] [3,3,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [3,3,3,3,3,1,1]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [3,3,3,3,2,2,1]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] [3,3,3,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [3,3,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] [3,3,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,3,3,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] [3,3,3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] [3,3,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] [3,3,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0] [3,3,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [3,3,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [3,3,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0] [3,3,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0] [3,3,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0] [3,3,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0] [3,2,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,2,2,2,2,2,1,1]=>[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [3,2,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] [3,2,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] [3,2,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] [3,2,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] [3,2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] [2,2,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0] [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] [4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [5,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0] [6,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [5,4,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0] [5,5,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0] [6,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0] [6,5,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [5,4,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0] [5,5,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0] [6,4,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0] [5,5,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0] [6,4,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0] [6,5,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0] [6,5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [5,4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0] [5,5,3,3,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0] [6,4,3,3,2]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0] [5,5,4,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0] [6,4,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0] [6,5,3,2,2]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0] [5,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0] [6,4,4,3,1]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0] [6,5,3,3,1]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0] [6,5,4,2,1]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0] [6,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [3,3,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [7,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [6,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [6,6,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] [7,6,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [4,3,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] [5,4,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] [7,4,3,2,1,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] [5,4,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] [4,4,4,4,2]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] [6,6,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] [7,6,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [2,2,2,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [3,3,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [6,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] [6,6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [10,4,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0] [9,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0] [8,6,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0] [9,9]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] [7,7,1,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0] [5,5,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0] [6,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0] [5,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0] [6,4,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0] [6,5,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0] [5,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0] [6,4,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0] [6,5,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0] [6,5,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0] [5,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0] [6,4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0] [6,5,3,3,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0] [6,5,4,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0] [6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0] [5,4,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [7,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] [6,5,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,4,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [4,4,4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] [7,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [6,6,4,2,1]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] [7,5,4,2,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] [7,6,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] [7,5,4,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] [3,3,3,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [3,3,3,3,3,2,2]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [4,3,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [7,6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] [9,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0] [8,5,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0] [8,5,5,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0] [5,4,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] [6,6,6,1]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] [5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [6,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0] [6,5,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0] [6,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0] [6,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0] [6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [6,4,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [6,5,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [4,4,4,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] [5,5,5,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] [6,5,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [5,4,3,3,3,2]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] [6,6,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [4,4,4,4,3,1]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] [7,6,3,2,1,1]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] [5,4,4,4,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] [7,5,4,3,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] [6,6,5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] [7,6,4,2,1]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] [6,5,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] [7,6,4,3]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] [7,6,5,2]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] [4,4,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [5,5,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [10,10]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] [8,2,2,2,2,2,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [8,6,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [10,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0] [10,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0] [9,7,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0] [9,5,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0] [7,7,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [5,4,3,2,2,2,2]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] [6,6,6,1,1]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] [6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [5,4,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [6,3,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [6,5,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [5,5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] [6,5,4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [7,5,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] [7,6,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] [6,5,4,2,2,2]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] [5,5,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] [7,5,4,3,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] [7,6,5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] [7,6,5,3]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] [3,3,3,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,4,4,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] [11,7,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0] [8,7,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [7,7,7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] [6,5,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] [5,4,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] [4,4,4,4,4,1]=>[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [5,5,5,5,1]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] [4,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [6,4,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [5,5,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] [6,5,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [6,5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,5,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] [5,5,5,4,2,1]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] [6,6,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] [7,5,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [7,6,4,3,2]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] [7,6,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [9,6,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0] [6,5,4,3,1,1,1,1]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [5,4,3,3,3,3,1]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [5,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [6,5,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [6,5,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [6,5,5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] [7,6,5,2,1,1,1]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] [6,5,4,3,3,2]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] [6,6,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] [7,6,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [7,6,5,2,2,1]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] [6,5,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] [7,6,5,3,2]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] [7,6,5,4,1]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] [9,6,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0] [8,6,5,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0] [8,5,4,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] [6,5,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [5,5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] [6,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [6,5,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [6,5,4,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] [6,5,5,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] [5,5,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [6,5,4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] [7,6,5,2,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [6,5,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] [7,6,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [7,6,5,4,1,1]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] [6,6,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [7,6,5,4,2]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [3,3,3,3,3,3,3,3]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [4,4,4,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [6,6,6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [9,8,7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] [11,7,5,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0] [9,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] [8,8,8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0] [6,5,4,3,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] [7,5,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [5,4,4,4,4,2,1]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] [7,7,4,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] [6,5,4,3,2,2,2]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [8,5,4,3,2,1,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] [5,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [6,5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [7,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [6,5,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] [7,6,5,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [6,5,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] [6,6,5,4,2,1,1]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] [7,6,5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [6,5,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] [6,6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] [7,6,5,4,2,1]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [7,6,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [15,5,5]=>[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] [9,7,5,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [10,7,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0] [5,5,5,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [8,7,4,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] [6,5,4,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] [6,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [6,6,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [7,5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] [6,6,5,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [6,6,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [6,6,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [6,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [7,5,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [7,6,4,4,3,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [7,6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [9,7,5,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0] [5,5,5,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] [8,7,6,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [6,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [7,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [7,6,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [7,6,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,6,4,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [6,5,4,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [8,7,6,3,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] [7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,7,7,7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [7,6,5,4,3,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [10,7,6,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0] [9,7,6,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0] [10,8,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0] [4,4,4,4,4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [8,6,5,4,3,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [6,6,6,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] [6,6,5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [7,6,5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,6,5,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [8,6,5,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [10,8,6,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] [6,5,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [8,7,6,5,2,1]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,3]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] [7,7,5,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] [7,6,5,4,3,2,2]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,6,6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [15,15]=>[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] [5,5,5,5,5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [9,7,5,5,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] [7,6,5,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,6,5,3,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [8,7,5,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [11,8,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0] [10,8,6,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [7,6,5,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [8,7,6,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [9,8,7,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] [7,6,5,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [7,6,4,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [11,8,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0] [6,5,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [8,7,6,5,4,1]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [7,7,6,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]=>[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] [7,6,5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [7,5,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [8,7,6,5,3,2,1]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,4,1,1]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [7,6,5,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] [7,6,6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] [8,7,6,5,4,2]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [7,6,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [6,6,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [8,7,6,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,6,6,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] [7,6,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [7,7,6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [8,7,6,5,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,3,2,2]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,4,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [7,6,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [8,7,6,5,4,3,1]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [12,9,7,5,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0] [7,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [7,7,6,5,4,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [8,7,6,5,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,3,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [8,6,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [7,7,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [7,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [8,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [13,9,7,5,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0] [8,7,6,5,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [8,7,6,5,4,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [9,8,7,6,5]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [11,9,7,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [11,8,7,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] [8,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,7,6,5,4,3,2,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [9,7,6,5,4,3,2,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [8,7,6,5,4,3,2,2,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,7,6,5,4,3,3,2,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [9,8,7,6,5,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [10,10,10,10]=>[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] [8,7,6,5,4,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [11,9,7,5,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] [8,7,6,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [8,7,6,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [8,7,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [9,7,6,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] [9,8,7,6,5,4,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,7,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [8,8,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [9,8,6,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] [8,8,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [9,8,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [9,8,7,5,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [9,8,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [11,9,7,7,5,3,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] [9,8,8,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [9,9,8,7,6,5,4,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [10,9,8,7,6,5,4,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [5,5,5,5,5,5,5,5,5,5,5,5]=>[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] [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]=>[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]
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Properties
injective
Sage code
def mapping(elt):
    return elt.to_dyck_word()
Weight
26
Created
Jan 19, 2020 at 07:28 by FindStatCrew
Updated
Jan 19, 2020 at 07:28 by Martin Rubey