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Identifier
Mp00230: Integer partitions —parallelogram polyomino⟶ Dyck paths
Images
=>
Cc0002;cc-rep-0Cc0005;cc-rep-1
[]=>[] [1]=>[1,0] [2]=>[1,0,1,0] [1,1]=>[1,1,0,0] [3]=>[1,0,1,0,1,0] [2,1]=>[1,0,1,1,0,0] [1,1,1]=>[1,1,0,1,0,0] [4]=>[1,0,1,0,1,0,1,0] [3,1]=>[1,0,1,0,1,1,0,0] [2,2]=>[1,1,1,0,0,0] [2,1,1]=>[1,0,1,1,0,1,0,0] [1,1,1,1]=>[1,1,0,1,0,1,0,0] [5]=>[1,0,1,0,1,0,1,0,1,0] [4,1]=>[1,0,1,0,1,0,1,1,0,0] [3,2]=>[1,0,1,1,1,0,0,0] [3,1,1]=>[1,0,1,0,1,1,0,1,0,0] [2,2,1]=>[1,1,1,0,0,1,0,0] [2,1,1,1]=>[1,0,1,1,0,1,0,1,0,0] [1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,0] [6]=>[1,0,1,0,1,0,1,0,1,0,1,0] [5,1]=>[1,0,1,0,1,0,1,0,1,1,0,0] [4,2]=>[1,0,1,0,1,1,1,0,0,0] [4,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,0] [3,3]=>[1,1,1,0,1,0,0,0] [3,2,1]=>[1,0,1,1,1,0,0,1,0,0] [3,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,0] [2,2,2]=>[1,1,1,1,0,0,0,0] [2,2,1,1]=>[1,1,1,0,0,1,0,1,0,0] [2,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,0] [7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [6,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [5,2]=>[1,0,1,0,1,0,1,1,1,0,0,0] [5,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0] [4,3]=>[1,0,1,1,1,0,1,0,0,0] [4,2,1]=>[1,0,1,0,1,1,1,0,0,1,0,0] [4,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0] [3,3,1]=>[1,1,1,0,1,0,0,1,0,0] [3,2,2]=>[1,0,1,1,1,1,0,0,0,0] [3,2,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,0] [3,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0] [2,2,2,1]=>[1,1,1,1,0,0,0,1,0,0] [2,2,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,0] [2,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0] [8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [6,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [6,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [5,3]=>[1,0,1,0,1,1,1,0,1,0,0,0] [5,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0] [5,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [4,4]=>[1,1,1,0,1,0,1,0,0,0] [4,3,1]=>[1,0,1,1,1,0,1,0,0,1,0,0] [4,2,2]=>[1,0,1,0,1,1,1,1,0,0,0,0] [4,2,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0] [4,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [3,3,2]=>[1,1,1,0,1,1,0,0,0,0] [3,3,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,0] [3,2,2,1]=>[1,0,1,1,1,1,0,0,0,1,0,0] [3,2,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0] [3,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2]=>[1,1,1,1,0,1,0,0,0,0] [2,2,2,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [2,2,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [7,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [7,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [6,3]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0] [6,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [6,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [5,4]=>[1,0,1,1,1,0,1,0,1,0,0,0] [5,3,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0] [5,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [5,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [5,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [4,4,1]=>[1,1,1,0,1,0,1,0,0,1,0,0] [4,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0] [4,3,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0] [4,2,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [4,2,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [4,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [3,3,3]=>[1,1,1,1,1,0,0,0,0,0] [3,3,2,1]=>[1,1,1,0,1,1,0,0,0,1,0,0] [3,3,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0] [3,2,2,2]=>[1,0,1,1,1,1,0,1,0,0,0,0] [3,2,2,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [3,2,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,1]=>[1,1,1,1,0,1,0,0,0,1,0,0] [2,2,2,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [9,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [8,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [8,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [7,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [7,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [7,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [6,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0] [6,3,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [6,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [6,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [6,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [5,5]=>[1,1,1,0,1,0,1,0,1,0,0,0] [5,4,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0] [5,3,2]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [5,3,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [5,2,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [5,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [5,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [4,4,2]=>[1,1,1,0,1,0,1,1,0,0,0,0] [4,4,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0] [4,3,3]=>[1,0,1,1,1,1,1,0,0,0,0,0] [4,3,2,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [4,3,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [4,2,2,2]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [4,2,2,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [4,2,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [3,3,2,2]=>[1,1,1,0,1,1,0,1,0,0,0,0] [3,3,2,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [3,3,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [3,2,2,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2]=>[1,1,1,1,0,1,0,1,0,0,0,0] [2,2,2,2,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [2,2,2,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [11]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [10,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [9,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [9,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [8,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [8,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [8,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [7,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [7,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [7,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [7,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [7,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [6,5]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0] [6,4,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [6,3,2]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [6,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [6,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [6,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [6,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [5,5,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0] [5,4,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [5,4,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [5,3,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [5,3,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [5,3,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [5,2,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [5,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [5,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,3]=>[1,1,1,0,1,1,1,0,0,0,0,0] [4,4,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [4,4,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [4,3,3,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [4,3,2,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [4,3,2,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [4,3,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [4,2,2,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0] [3,3,3,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [3,3,2,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [3,3,2,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [3,2,2,2,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [3,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [2,2,2,2,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [12]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [11,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [10,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [10,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [9,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [9,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [9,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [8,4]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [8,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [8,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [8,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [8,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [7,5]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [7,4,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [7,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [7,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [7,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [7,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [7,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [6,6]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0] [6,5,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [6,4,2]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [6,4,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [6,3,3]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [6,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [6,3,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [6,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [6,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [6,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [5,5,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [5,4,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [5,4,2,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [5,4,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [5,3,3,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [5,3,2,2]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [5,3,2,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [5,3,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [5,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4]=>[1,1,1,1,1,0,1,0,0,0,0,0] [4,4,3,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [4,4,2,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [4,4,2,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [4,4,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [4,3,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [4,3,3,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [4,3,2,2,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [4,3,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [4,2,2,2,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [4,2,2,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3]=>[1,1,1,1,1,1,0,0,0,0,0,0] [3,3,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [3,3,3,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [3,3,2,2,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [3,3,2,2,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [3,3,2,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [3,2,2,2,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [2,2,2,2,2,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [2,2,2,2,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [13]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [12,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [11,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [11,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [10,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [10,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [10,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [9,4]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [9,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [9,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [9,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [9,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [8,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [8,4,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [8,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [8,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [8,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [8,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [8,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [7,6]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [7,5,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [7,4,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [7,4,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [7,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [7,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [7,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [7,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [7,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [7,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [7,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [6,5,2]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [6,5,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [6,4,3]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [6,4,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [6,4,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [6,3,3,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [6,3,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [6,3,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [6,3,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [6,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [6,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [6,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,3]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [5,5,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [5,5,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [5,4,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [5,4,3,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [5,4,2,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [5,4,2,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [5,4,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [5,3,3,2]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [5,3,3,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [5,3,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [5,3,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [5,3,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [5,2,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [5,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [4,4,3,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [4,4,3,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [4,4,2,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [4,4,2,1,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [4,4,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [4,3,3,2,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [4,3,3,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [4,3,2,2,2]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [4,3,2,2,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [4,3,2,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [4,2,2,2,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,2,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [3,3,3,2,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [3,3,3,2,1,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [3,3,3,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [3,3,2,2,1,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,2,1,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [3,2,2,2,2,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [2,2,2,2,2,1,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [2,2,2,2,1,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [14]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [13,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [12,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [12,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [11,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [11,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [11,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [10,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [10,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [10,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [10,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [10,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [9,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [9,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [9,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [9,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [9,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [9,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [9,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [8,6]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [8,5,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [8,4,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [8,4,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [8,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [8,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [8,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [8,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [8,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [8,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [8,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,7]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [7,6,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [7,5,2]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [7,5,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [7,4,3]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [7,4,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [7,4,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [7,3,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [7,3,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [7,3,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [7,3,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [7,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [7,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [7,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [6,6,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [6,5,3]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [6,5,2,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [6,5,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [6,4,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [6,4,3,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [6,4,2,2]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [6,4,2,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [6,4,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [6,3,3,2]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [6,3,3,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [6,3,2,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [6,3,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [6,3,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [6,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [6,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [5,5,3,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [5,5,2,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [5,5,2,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [5,5,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [5,4,4,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [5,4,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [5,4,3,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [5,4,2,2,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [5,4,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [5,4,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,3,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [5,3,3,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [5,3,3,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [5,3,2,2,2]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [5,3,2,2,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [5,3,2,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,3,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [5,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [4,4,4,1,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [4,4,3,3]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [4,4,3,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [4,4,3,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [4,4,2,2,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [4,4,2,2,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [4,4,2,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,4,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,3,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [4,3,3,2,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [4,3,3,2,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [4,3,3,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,2,2,2,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [4,3,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,3,2,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2,2]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [4,2,2,2,2,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [4,2,2,2,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [3,3,3,3,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [3,3,3,2,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [3,3,3,2,1,1,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,3,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,2,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [3,3,2,2,2,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,3,2,2,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,2,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,2,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,2,2,2,2,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [2,2,2,2,2,2,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [2,2,2,2,2,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [15]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [14,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [13,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [13,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [12,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [12,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [12,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [11,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [11,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [11,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [11,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [11,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [10,5]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [10,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [10,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [10,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [10,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [10,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [10,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [9,6]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [9,5,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [9,4,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [9,4,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [9,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [9,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [9,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [9,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [9,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [9,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [9,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,7]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [8,6,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [8,5,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [8,5,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [8,4,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [8,4,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [8,4,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [8,3,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [8,3,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [8,3,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [8,3,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [8,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [8,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [8,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [8,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,7,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [7,6,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [7,6,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [7,5,3]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [7,5,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [7,5,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [7,4,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [7,4,3,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [7,4,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [7,4,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [7,4,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [7,3,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [7,3,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [7,3,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [7,3,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [7,3,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [7,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [7,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [7,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,3]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [6,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [6,6,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [6,5,4]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] [6,5,3,1]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [6,5,2,2]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [6,5,2,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [6,5,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [6,4,4,1]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [6,4,3,2]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [6,4,3,1,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [6,4,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [6,4,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [6,4,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,3,3]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [6,3,3,2,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [6,3,3,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [6,3,2,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [6,3,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [6,3,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,3,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [6,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [6,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,5]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [5,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [5,5,3,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [5,5,3,1,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [5,5,2,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [5,5,2,1,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [5,5,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [5,4,4,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [5,4,3,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [5,4,3,2,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [5,4,3,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [5,4,2,2,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [5,4,2,2,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [5,4,2,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,4,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,3,3,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [5,3,3,2,2]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [5,3,3,2,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [5,3,3,1,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [5,3,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [5,3,2,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,3,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [5,2,2,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [5,2,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [4,4,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] [4,4,4,1,1,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] [4,4,3,3,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [4,4,3,2,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [4,4,3,2,1,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [4,4,3,1,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [4,4,2,2,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [4,4,2,2,1,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,4,2,1,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [4,3,3,3,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [4,3,3,2,2,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [4,3,3,2,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [4,3,3,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,2,2,2,2]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [4,3,2,2,2,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [4,3,2,2,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,2,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,2,2,2,2,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,2,2,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [3,3,3,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [3,3,3,3,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] [3,3,3,2,2,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [3,3,3,2,2,1,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0] [3,3,3,2,1,1,1,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,3,1,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,2,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,3,2,2,2,1,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,2,2,1,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,1,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,2,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [3,2,2,2,2,2,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] [2,2,2,2,2,2,1,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [2,2,2,2,2,1,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,1,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [16]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [15,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [14,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [14,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [13,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [13,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [13,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [12,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [12,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [12,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [12,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [12,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [11,5]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [11,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [11,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [11,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [11,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [11,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [11,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [10,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [10,5,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [10,4,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [10,4,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [10,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [10,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [10,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [10,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [10,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [10,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [10,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [9,7]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [9,6,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [9,5,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [9,5,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [9,4,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [9,4,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [9,4,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [9,3,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [9,3,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [9,3,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [9,3,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [9,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [9,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [9,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [9,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [8,7,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [8,6,2]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [8,6,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [8,5,3]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [8,5,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [8,5,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [8,4,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [8,4,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [8,4,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [8,4,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [8,4,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [8,3,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [8,3,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [8,3,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [8,3,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [8,3,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [8,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [8,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [8,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [8,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,7,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [7,7,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [7,6,3]=>[1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [7,6,2,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [7,6,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [7,5,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] [7,5,3,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [7,5,2,2]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [7,5,2,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [7,5,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [7,4,4,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [7,4,3,2]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [7,4,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [7,4,2,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [7,4,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [7,4,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,3,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [7,3,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [7,3,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [7,3,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [7,3,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [7,3,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [7,3,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,2,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [7,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [7,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,4]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [6,6,3,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [6,6,2,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [6,6,2,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [6,6,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [6,5,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [6,5,4,1]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [6,5,3,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [6,5,3,1,1]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [6,5,2,2,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [6,5,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [6,5,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,4,4,2]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [6,4,4,1,1]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [6,4,3,3]=>[1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [6,4,3,2,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [6,4,3,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [6,4,2,2,2]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [6,4,2,2,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [6,4,2,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,4,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,3,3,1]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [6,3,3,2,2]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [6,3,3,2,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [6,3,3,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [6,3,2,2,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [6,3,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [6,3,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [6,2,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [6,2,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,5,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] [5,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] [5,5,4,1,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [5,5,3,3]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [5,5,3,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [5,5,3,1,1,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [5,5,2,2,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [5,5,2,2,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [5,5,2,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,5,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [5,4,4,2,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] [5,4,4,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] [5,4,3,3,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [5,4,3,2,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [5,4,3,2,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [5,4,3,1,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [5,4,2,2,2,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [5,4,2,2,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,4,2,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,3,3,2]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [5,3,3,3,1,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [5,3,3,2,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [5,3,3,2,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [5,3,3,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,2,2,2,2]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [5,3,2,2,2,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [5,3,2,2,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,3,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,2,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [5,2,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,2,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [4,4,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [4,4,4,2,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [4,4,4,2,1,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] [4,4,4,1,1,1,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [4,4,3,3,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [4,4,3,3,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [4,4,3,2,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [4,4,3,2,1,1,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [4,4,3,1,1,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,2,2,2,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [4,4,2,2,2,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [4,4,2,2,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,4,2,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,3,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [4,3,3,3,2,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [4,3,3,3,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] [4,3,3,2,2,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [4,3,3,2,2,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0] [4,3,3,2,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,3,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,2,2,2,2,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,3,2,2,2,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,3,2,2,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2,2,2]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [4,2,2,2,2,2,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [4,2,2,2,2,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [3,3,3,3,2,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [3,3,3,3,2,1,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] [3,3,3,3,1,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,3,2,2,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] [3,3,3,2,2,1,1,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,3,2,1,1,1,1,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,1,1,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,2,2,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [3,3,2,2,2,2,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,3,2,2,2,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,2,2,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,2,2,2,2,2,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,2,2,2,2,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,2,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] [2,2,2,2,2,2,2,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [2,2,2,2,2,2,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [17]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [16,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [15,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [15,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [14,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [14,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [14,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [13,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [13,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [13,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [13,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [13,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [12,5]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [12,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] [12,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] [12,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [12,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [12,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [12,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] [11,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] [11,5,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [11,4,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [11,4,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] [11,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [11,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [11,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [11,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [11,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [11,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] [11,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] [10,7]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [10,6,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [10,5,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [10,5,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [10,4,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [10,4,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [10,4,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [10,3,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [10,3,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [10,3,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [10,3,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [10,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [10,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [10,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [10,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [9,8]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [9,7,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [9,6,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [9,6,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [9,5,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] [9,5,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [9,5,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [9,4,4]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [9,4,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [9,4,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [9,4,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [9,4,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [9,3,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] [9,3,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [9,3,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] [9,3,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [9,3,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [9,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [9,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [9,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [9,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [9,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [8,7,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [8,7,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [8,6,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [8,6,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [8,6,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [8,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] [8,5,3,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [8,5,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [8,5,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [8,5,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [8,4,4,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [8,4,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [8,4,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [8,4,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [8,4,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [8,4,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [8,3,3,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [8,3,3,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [8,3,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [8,3,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] [8,3,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [8,3,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [8,3,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,2,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [8,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [8,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [8,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [8,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,7,3]=>[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [7,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [7,7,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [7,6,4]=>[1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] [7,6,3,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [7,6,2,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] [7,6,2,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [7,6,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [7,5,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [7,5,4,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [7,5,3,2]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [7,5,3,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [7,5,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [7,5,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [7,5,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,4,4,2]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [7,4,4,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [7,4,3,3]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [7,4,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [7,4,3,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [7,4,2,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [7,4,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [7,4,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [7,4,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,3,3,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] [7,3,3,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] [7,3,3,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [7,3,3,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [7,3,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [7,3,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [7,3,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [7,3,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,2,2,2,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [7,2,2,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [7,2,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [7,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [7,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,6,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [6,6,4,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [6,6,3,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [6,6,3,1,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [6,6,2,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] [6,6,2,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [6,6,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,5,5,1]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] [6,5,4,2]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] [6,5,4,1,1]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [6,5,3,3]=>[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [6,5,3,2,1]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [6,5,3,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [6,5,2,2,2]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [6,5,2,2,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [6,5,2,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,5,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,4,4,3]=>[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [6,4,4,2,1]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] [6,4,4,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] [6,4,3,3,1]=>[1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [6,4,3,2,2]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [6,4,3,2,1,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [6,4,3,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [6,4,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [6,4,2,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [6,4,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,4,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,3,3,2]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] [6,3,3,3,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [6,3,3,2,2,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [6,3,3,2,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [6,3,3,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,2,2,2,2]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [6,3,2,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [6,3,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [6,3,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,3,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,2,2,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [6,2,2,2,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [6,2,2,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [6,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,5,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] [5,5,5,1,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0] [5,5,4,3]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] [5,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] [5,5,4,1,1,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] [5,5,3,3,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [5,5,3,2,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [5,5,3,2,1,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [5,5,3,1,1,1,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [5,5,2,2,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] [5,5,2,2,1,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,5,2,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,5,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,4,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [5,4,4,3,1]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] [5,4,4,2,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [5,4,4,2,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] [5,4,4,1,1,1,1]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] [5,4,3,3,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [5,4,3,3,1,1]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [5,4,3,2,2,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [5,4,3,2,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [5,4,3,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,2,2,2,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [5,4,2,2,2,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [5,4,2,2,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,4,2,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,4,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,3,3,3]=>[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [5,3,3,3,2,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [5,3,3,3,1,1,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] [5,3,3,2,2,2]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [5,3,3,2,2,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0] [5,3,3,2,1,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,3,3,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,2,2,2,2,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [5,3,2,2,2,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [5,3,2,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,3,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,2,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [5,2,2,2,2,2,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [5,2,2,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [5,2,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [5,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,4,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [4,4,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [4,4,4,3,1,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] [4,4,4,2,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0] [4,4,4,2,1,1,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0] [4,4,4,1,1,1,1,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,3,3,3]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] [4,4,3,3,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [4,4,3,3,1,1,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] [4,4,3,2,2,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [4,4,3,2,2,1,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0] [4,4,3,2,1,1,1,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,4,3,1,1,1,1,1,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,2,2,2,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,4,2,2,2,1,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,4,2,2,1,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,2,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,4,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,3,3,1]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [4,3,3,3,2,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [4,3,3,3,2,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] [4,3,3,3,1,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,3,2,2,2,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] [4,3,3,2,2,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,3,3,2,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,3,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,2,2,2,2,2]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [4,3,2,2,2,2,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [4,3,2,2,2,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [4,3,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,3,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,2,2,2,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] [4,2,2,2,2,2,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [4,2,2,2,2,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,2,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,2,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [4,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,3,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [3,3,3,3,3,1,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] [3,3,3,3,2,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] [3,3,3,3,2,1,1,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,3,3,1,1,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,2,2,2,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] [3,3,3,2,2,2,1,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,3,3,2,2,1,1,1,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,3,3,2,1,1,1,1,1,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,3,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,2,2,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] [3,3,2,2,2,2,1,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [3,3,2,2,2,1,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,2,1,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,2,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,3,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,2,2,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] [3,2,2,2,2,2,2,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] [3,2,2,2,2,2,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,2,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,2,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,2,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,2,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,2,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] [2,2,2,2,2,2,2,1,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] [2,2,2,2,2,2,1,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,2,1,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,2,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,2,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
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Description
Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
Properties
injective
Sage code
def mapping(la):
    if not la:
        return ParallelogramPolyomino([[1],[1]]).to_dyck_word()
    lower_path = [0]*la[0] + [1]*len(la)
    upper_path = []
    la = list(la) + [0]
    for i in range(len(la)-1):
        upper_path.extend([1]+[0]*(la[i]-la[i+1]))
    return ParallelogramPolyomino([lower_path, upper_path]).to_dyck_word()
Weight
26
Created
May 07, 2021 at 14:19 by Martin Rubey
Updated
May 07, 2021 at 14:19 by Martin Rubey