Identifier
Images
=>
Cc0018;cc-rep-0Cc0018;cc-rep-1
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[[4,1,1],[4,1],[3]]=>[[4,1,1],[2,1],[2]]
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[[3,3,0],[3,0],[0]]=>[[3,3,0],[3,3],[3]]
[[3,3,0],[3,0],[1]]=>[[3,3,0],[3,2],[2]]
[[3,3,0],[3,0],[2]]=>[[3,3,0],[3,1],[1]]
[[3,3,0],[3,0],[3]]=>[[3,3,0],[3,0],[0]]
[[3,3,0],[3,1],[1]]=>[[3,3,0],[3,2],[3]]
[[3,3,0],[3,1],[2]]=>[[3,3,0],[3,1],[2]]
[[3,3,0],[3,1],[3]]=>[[3,3,0],[3,0],[1]]
[[3,3,0],[3,2],[2]]=>[[3,3,0],[3,1],[3]]
[[3,3,0],[3,2],[3]]=>[[3,3,0],[3,0],[2]]
[[3,3,0],[3,3],[3]]=>[[3,3,0],[3,0],[3]]
[[3,2,1],[2,1],[1]]=>[[3,2,1],[3,2],[2]]
[[3,2,1],[2,1],[2]]=>[[3,2,1],[3,1],[1]]
[[3,2,1],[2,2],[2]]=>[[3,2,1],[3,1],[2]]
[[3,2,1],[3,1],[1]]=>[[3,2,1],[3,2],[3]]
[[3,2,1],[3,1],[2]]=>[[3,2,1],[2,2],[2]]
[[3,2,1],[3,1],[3]]=>[[3,2,1],[2,1],[1]]
[[3,2,1],[3,2],[2]]=>[[3,2,1],[3,1],[3]]
[[3,2,1],[3,2],[3]]=>[[3,2,1],[2,1],[2]]
[[2,2,2],[2,2],[2]]=>[[2,2,2],[2,2],[2]]
[[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,0,0,0],[0,0,0],[0,0],[0]]=>[[2,0,0,0],[2,0,0],[0,0],[0]]
[[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,0,0,0],[1,0,0],[0,0],[0]]
[[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,0,0,0],[2,0,0],[1,0],[1]]=>[[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,0,0,0],[2,0,0],[2,0],[1]]=>[[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,0,0,0],[2,0,0],[2,0],[2]]=>[[2,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0],[3,0,0],[1,0],[0]]
[[3,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0],[3,0,0],[1,0],[1]]
[[3,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0],[3,0,0],[2,0],[0]]
[[3,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0],[3,0,0],[2,0],[1]]
[[3,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0],[3,0,0],[2,0],[2]]
[[3,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0],[3,0,0],[0,0],[0]]=>[[3,0,0,0],[3,0,0],[3,0],[0]]
[[3,0,0,0],[3,0,0],[1,0],[0]]=>[[3,0,0,0],[3,0,0],[3,0],[1]]
[[3,0,0,0],[3,0,0],[1,0],[1]]=>[[3,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0],[3,0,0],[2,0],[0]]=>[[3,0,0,0],[3,0,0],[3,0],[2]]
[[3,0,0,0],[3,0,0],[2,0],[1]]=>[[3,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0],[3,0,0],[2,0],[2]]=>[[3,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0],[3,0,0],[3,0],[0]]=>[[3,0,0,0],[3,0,0],[3,0],[3]]
[[3,0,0,0],[3,0,0],[3,0],[1]]=>[[3,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0],[3,0,0],[3,0],[2]]=>[[3,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0],[3,0,0],[3,0],[3]]=>[[3,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0],[2,1,0],[1,0],[1]]
[[2,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0],[2,0,0],[0,0],[0]]
[[2,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0],[2,1,0],[1,1],[1]]
[[2,1,0,0],[1,1,0],[1,0],[1]]=>[[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,1,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0],[2,1,0],[2,0],[1]]
[[2,1,0,0],[2,0,0],[1,0],[1]]=>[[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0],[2,1,0],[2,0],[2]]
[[2,1,0,0],[2,0,0],[2,0],[1]]=>[[2,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0],[2,0,0],[2,0],[2]]=>[[2,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0],[2,1,0],[1,0],[0]]=>[[2,1,0,0],[2,1,0],[2,1],[1]]
[[2,1,0,0],[2,1,0],[1,0],[1]]=>[[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0],[2,1,0],[1,1],[1]]=>[[2,1,0,0],[2,0,0],[2,0],[1]]
[[2,1,0,0],[2,1,0],[2,0],[0]]=>[[2,1,0,0],[2,1,0],[2,1],[2]]
[[2,1,0,0],[2,1,0],[2,0],[1]]=>[[2,1,0,0],[1,1,0],[1,1],[1]]
[[2,1,0,0],[2,1,0],[2,0],[2]]=>[[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0],[2,1,0],[2,1],[1]]=>[[2,1,0,0],[2,0,0],[2,0],[2]]
[[2,1,0,0],[2,1,0],[2,1],[2]]=>[[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,1,0],[1,1,0],[1,0],[0]]=>[[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,1,1,0],[1,1,0],[1,0],[1]]=>[[1,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,1,0],[1,1,0],[1,1],[1]]=>[[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,1,1,0],[1,1,1],[1,1],[1]]=>[[1,1,1,0],[1,1,0],[1,1],[1]]
[[4,0,0,0],[0,0,0],[0,0],[0]]=>[[4,0,0,0],[4,0,0],[0,0],[0]]
[[4,0,0,0],[1,0,0],[0,0],[0]]=>[[4,0,0,0],[4,0,0],[1,0],[0]]
[[4,0,0,0],[1,0,0],[1,0],[0]]=>[[4,0,0,0],[4,0,0],[1,0],[1]]
[[4,0,0,0],[1,0,0],[1,0],[1]]=>[[4,0,0,0],[3,0,0],[0,0],[0]]
[[4,0,0,0],[2,0,0],[0,0],[0]]=>[[4,0,0,0],[4,0,0],[2,0],[0]]
[[4,0,0,0],[2,0,0],[1,0],[0]]=>[[4,0,0,0],[4,0,0],[2,0],[1]]
[[4,0,0,0],[2,0,0],[1,0],[1]]=>[[4,0,0,0],[3,0,0],[1,0],[0]]
[[4,0,0,0],[2,0,0],[2,0],[0]]=>[[4,0,0,0],[4,0,0],[2,0],[2]]
[[4,0,0,0],[2,0,0],[2,0],[1]]=>[[4,0,0,0],[3,0,0],[1,0],[1]]
[[4,0,0,0],[2,0,0],[2,0],[2]]=>[[4,0,0,0],[2,0,0],[0,0],[0]]
[[4,0,0,0],[3,0,0],[0,0],[0]]=>[[4,0,0,0],[4,0,0],[3,0],[0]]
[[4,0,0,0],[3,0,0],[1,0],[0]]=>[[4,0,0,0],[4,0,0],[3,0],[1]]
[[4,0,0,0],[3,0,0],[1,0],[1]]=>[[4,0,0,0],[3,0,0],[2,0],[0]]
[[4,0,0,0],[3,0,0],[2,0],[0]]=>[[4,0,0,0],[4,0,0],[3,0],[2]]
[[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,0,0,0],[3,0,0],[2,0],[2]]=>[[4,0,0,0],[2,0,0],[1,0],[0]]
[[4,0,0,0],[3,0,0],[3,0],[0]]=>[[4,0,0,0],[4,0,0],[3,0],[3]]
[[4,0,0,0],[3,0,0],[3,0],[1]]=>[[4,0,0,0],[3,0,0],[2,0],[2]]
[[4,0,0,0],[3,0,0],[3,0],[2]]=>[[4,0,0,0],[2,0,0],[1,0],[1]]
[[4,0,0,0],[3,0,0],[3,0],[3]]=>[[4,0,0,0],[1,0,0],[0,0],[0]]
[[4,0,0,0],[4,0,0],[0,0],[0]]=>[[4,0,0,0],[4,0,0],[4,0],[0]]
[[4,0,0,0],[4,0,0],[1,0],[0]]=>[[4,0,0,0],[4,0,0],[4,0],[1]]
[[4,0,0,0],[4,0,0],[1,0],[1]]=>[[4,0,0,0],[3,0,0],[3,0],[0]]
[[4,0,0,0],[4,0,0],[2,0],[0]]=>[[4,0,0,0],[4,0,0],[4,0],[2]]
[[4,0,0,0],[4,0,0],[2,0],[1]]=>[[4,0,0,0],[3,0,0],[3,0],[1]]
[[4,0,0,0],[4,0,0],[2,0],[2]]=>[[4,0,0,0],[2,0,0],[2,0],[0]]
[[4,0,0,0],[4,0,0],[3,0],[0]]=>[[4,0,0,0],[4,0,0],[4,0],[3]]
[[4,0,0,0],[4,0,0],[3,0],[1]]=>[[4,0,0,0],[3,0,0],[3,0],[2]]
[[4,0,0,0],[4,0,0],[3,0],[2]]=>[[4,0,0,0],[2,0,0],[2,0],[1]]
[[4,0,0,0],[4,0,0],[3,0],[3]]=>[[4,0,0,0],[1,0,0],[1,0],[0]]
[[4,0,0,0],[4,0,0],[4,0],[0]]=>[[4,0,0,0],[4,0,0],[4,0],[4]]
[[4,0,0,0],[4,0,0],[4,0],[1]]=>[[4,0,0,0],[3,0,0],[3,0],[3]]
[[4,0,0,0],[4,0,0],[4,0],[2]]=>[[4,0,0,0],[2,0,0],[2,0],[2]]
[[4,0,0,0],[4,0,0],[4,0],[3]]=>[[4,0,0,0],[1,0,0],[1,0],[1]]
[[4,0,0,0],[4,0,0],[4,0],[4]]=>[[4,0,0,0],[0,0,0],[0,0],[0]]
[[3,1,0,0],[1,0,0],[0,0],[0]]=>[[3,1,0,0],[3,1,0],[1,0],[0]]
[[3,1,0,0],[1,0,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[1,0],[1]]
[[3,1,0,0],[1,0,0],[1,0],[1]]=>[[3,1,0,0],[3,0,0],[0,0],[0]]
[[3,1,0,0],[1,1,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[1,1],[1]]
[[3,1,0,0],[1,1,0],[1,0],[1]]=>[[3,1,0,0],[3,0,0],[1,0],[0]]
[[3,1,0,0],[1,1,0],[1,1],[1]]=>[[3,1,0,0],[3,0,0],[1,0],[1]]
[[3,1,0,0],[2,0,0],[0,0],[0]]=>[[3,1,0,0],[3,1,0],[2,0],[0]]
[[3,1,0,0],[2,0,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[2,0],[1]]
[[3,1,0,0],[2,0,0],[1,0],[1]]=>[[3,1,0,0],[2,1,0],[1,0],[0]]
[[3,1,0,0],[2,0,0],[2,0],[0]]=>[[3,1,0,0],[3,1,0],[2,0],[2]]
[[3,1,0,0],[2,0,0],[2,0],[1]]=>[[3,1,0,0],[2,1,0],[1,0],[1]]
[[3,1,0,0],[2,0,0],[2,0],[2]]=>[[3,1,0,0],[2,0,0],[0,0],[0]]
[[3,1,0,0],[2,1,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[2,1],[1]]
[[3,1,0,0],[2,1,0],[1,0],[1]]=>[[3,1,0,0],[3,0,0],[2,0],[0]]
[[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,1,0,0],[2,1,0],[2,0],[0]]=>[[3,1,0,0],[3,1,0],[2,1],[2]]
[[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,1,0,0],[2,1,0],[2,0],[2]]=>[[3,1,0,0],[2,0,0],[1,0],[0]]
[[3,1,0,0],[2,1,0],[2,1],[1]]=>[[3,1,0,0],[3,0,0],[2,0],[2]]
[[3,1,0,0],[2,1,0],[2,1],[2]]=>[[3,1,0,0],[2,0,0],[1,0],[1]]
[[3,1,0,0],[3,0,0],[0,0],[0]]=>[[3,1,0,0],[3,1,0],[3,0],[0]]
[[3,1,0,0],[3,0,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[3,0],[1]]
[[3,1,0,0],[3,0,0],[1,0],[1]]=>[[3,1,0,0],[2,1,0],[2,0],[0]]
[[3,1,0,0],[3,0,0],[2,0],[0]]=>[[3,1,0,0],[3,1,0],[3,0],[2]]
[[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,1,0,0],[3,0,0],[2,0],[2]]=>[[3,1,0,0],[1,1,0],[1,0],[0]]
[[3,1,0,0],[3,0,0],[3,0],[0]]=>[[3,1,0,0],[3,1,0],[3,0],[3]]
[[3,1,0,0],[3,0,0],[3,0],[1]]=>[[3,1,0,0],[2,1,0],[2,0],[2]]
[[3,1,0,0],[3,0,0],[3,0],[2]]=>[[3,1,0,0],[1,1,0],[1,0],[1]]
[[3,1,0,0],[3,0,0],[3,0],[3]]=>[[3,1,0,0],[1,0,0],[0,0],[0]]
[[3,1,0,0],[3,1,0],[1,0],[0]]=>[[3,1,0,0],[3,1,0],[3,1],[1]]
[[3,1,0,0],[3,1,0],[1,0],[1]]=>[[3,1,0,0],[3,0,0],[3,0],[0]]
[[3,1,0,0],[3,1,0],[1,1],[1]]=>[[3,1,0,0],[3,0,0],[3,0],[1]]
[[3,1,0,0],[3,1,0],[2,0],[0]]=>[[3,1,0,0],[3,1,0],[3,1],[2]]
[[3,1,0,0],[3,1,0],[2,0],[1]]=>[[3,1,0,0],[2,1,0],[2,1],[1]]
[[3,1,0,0],[3,1,0],[2,0],[2]]=>[[3,1,0,0],[2,0,0],[2,0],[0]]
[[3,1,0,0],[3,1,0],[2,1],[1]]=>[[3,1,0,0],[3,0,0],[3,0],[2]]
[[3,1,0,0],[3,1,0],[2,1],[2]]=>[[3,1,0,0],[2,0,0],[2,0],[1]]
[[3,1,0,0],[3,1,0],[3,0],[0]]=>[[3,1,0,0],[3,1,0],[3,1],[3]]
[[3,1,0,0],[3,1,0],[3,0],[1]]=>[[3,1,0,0],[2,1,0],[2,1],[2]]
[[3,1,0,0],[3,1,0],[3,0],[2]]=>[[3,1,0,0],[1,1,0],[1,1],[1]]
[[3,1,0,0],[3,1,0],[3,0],[3]]=>[[3,1,0,0],[1,0,0],[1,0],[0]]
[[3,1,0,0],[3,1,0],[3,1],[1]]=>[[3,1,0,0],[3,0,0],[3,0],[3]]
[[3,1,0,0],[3,1,0],[3,1],[2]]=>[[3,1,0,0],[2,0,0],[2,0],[2]]
[[3,1,0,0],[3,1,0],[3,1],[3]]=>[[3,1,0,0],[1,0,0],[1,0],[1]]
[[2,2,0,0],[2,0,0],[0,0],[0]]=>[[2,2,0,0],[2,2,0],[2,0],[0]]
[[2,2,0,0],[2,0,0],[1,0],[0]]=>[[2,2,0,0],[2,2,0],[2,0],[1]]
[[2,2,0,0],[2,0,0],[1,0],[1]]=>[[2,2,0,0],[2,1,0],[1,0],[0]]
[[2,2,0,0],[2,0,0],[2,0],[0]]=>[[2,2,0,0],[2,2,0],[2,0],[2]]
[[2,2,0,0],[2,0,0],[2,0],[1]]=>[[2,2,0,0],[2,1,0],[1,0],[1]]
[[2,2,0,0],[2,0,0],[2,0],[2]]=>[[2,2,0,0],[2,0,0],[0,0],[0]]
[[2,2,0,0],[2,1,0],[1,0],[0]]=>[[2,2,0,0],[2,2,0],[2,1],[1]]
[[2,2,0,0],[2,1,0],[1,0],[1]]=>[[2,2,0,0],[2,1,0],[2,0],[0]]
[[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,0,0],[2,1,0],[2,0],[0]]=>[[2,2,0,0],[2,2,0],[2,1],[2]]
[[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,0,0],[2,1,0],[2,0],[2]]=>[[2,2,0,0],[2,0,0],[1,0],[0]]
[[2,2,0,0],[2,1,0],[2,1],[1]]=>[[2,2,0,0],[2,1,0],[2,0],[2]]
[[2,2,0,0],[2,1,0],[2,1],[2]]=>[[2,2,0,0],[2,0,0],[1,0],[1]]
[[2,2,0,0],[2,2,0],[2,0],[0]]=>[[2,2,0,0],[2,2,0],[2,2],[2]]
[[2,2,0,0],[2,2,0],[2,0],[1]]=>[[2,2,0,0],[2,1,0],[2,1],[1]]
[[2,2,0,0],[2,2,0],[2,0],[2]]=>[[2,2,0,0],[2,0,0],[2,0],[0]]
[[2,2,0,0],[2,2,0],[2,1],[1]]=>[[2,2,0,0],[2,1,0],[2,1],[2]]
[[2,2,0,0],[2,2,0],[2,1],[2]]=>[[2,2,0,0],[2,0,0],[2,0],[1]]
[[2,2,0,0],[2,2,0],[2,2],[2]]=>[[2,2,0,0],[2,0,0],[2,0],[2]]
[[2,1,1,0],[1,1,0],[1,0],[0]]=>[[2,1,1,0],[2,1,1],[1,1],[1]]
[[2,1,1,0],[1,1,0],[1,0],[1]]=>[[2,1,1,0],[2,1,0],[1,0],[0]]
[[2,1,1,0],[1,1,0],[1,1],[1]]=>[[2,1,1,0],[2,1,0],[1,0],[1]]
[[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,0],[2,1,0],[1,0],[0]]=>[[2,1,1,0],[2,1,1],[2,1],[1]]
[[2,1,1,0],[2,1,0],[1,0],[1]]=>[[2,1,1,0],[2,1,0],[2,0],[0]]
[[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,1,1,0],[2,1,0],[2,0],[0]]=>[[2,1,1,0],[2,1,1],[2,1],[2]]
[[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,1,1,0],[2,1,0],[2,0],[2]]=>[[2,1,1,0],[1,1,0],[1,0],[0]]
[[2,1,1,0],[2,1,0],[2,1],[1]]=>[[2,1,1,0],[2,1,0],[2,0],[2]]
[[2,1,1,0],[2,1,0],[2,1],[2]]=>[[2,1,1,0],[1,1,0],[1,0],[1]]
[[2,1,1,0],[2,1,1],[1,1],[1]]=>[[2,1,1,0],[2,1,0],[2,1],[1]]
[[2,1,1,0],[2,1,1],[2,1],[1]]=>[[2,1,1,0],[2,1,0],[2,1],[2]]
[[2,1,1,0],[2,1,1],[2,1],[2]]=>[[2,1,1,0],[1,1,0],[1,1],[1]]
[[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,0,0,0],[0,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[0,0],[0]]
[[5,0,0,0],[1,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[1,0],[0]]
[[5,0,0,0],[1,0,0],[1,0],[0]]=>[[5,0,0,0],[5,0,0],[1,0],[1]]
[[5,0,0,0],[1,0,0],[1,0],[1]]=>[[5,0,0,0],[4,0,0],[0,0],[0]]
[[5,0,0,0],[2,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[2,0],[0]]
[[5,0,0,0],[2,0,0],[1,0],[0]]=>[[5,0,0,0],[5,0,0],[2,0],[1]]
[[5,0,0,0],[2,0,0],[1,0],[1]]=>[[5,0,0,0],[4,0,0],[1,0],[0]]
[[5,0,0,0],[2,0,0],[2,0],[0]]=>[[5,0,0,0],[5,0,0],[2,0],[2]]
[[5,0,0,0],[2,0,0],[2,0],[1]]=>[[5,0,0,0],[4,0,0],[1,0],[1]]
[[5,0,0,0],[2,0,0],[2,0],[2]]=>[[5,0,0,0],[3,0,0],[0,0],[0]]
[[5,0,0,0],[3,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[3,0],[0]]
[[5,0,0,0],[3,0,0],[1,0],[0]]=>[[5,0,0,0],[5,0,0],[3,0],[1]]
[[5,0,0,0],[3,0,0],[1,0],[1]]=>[[5,0,0,0],[4,0,0],[2,0],[0]]
[[5,0,0,0],[3,0,0],[2,0],[0]]=>[[5,0,0,0],[5,0,0],[3,0],[2]]
[[5,0,0,0],[3,0,0],[2,0],[1]]=>[[5,0,0,0],[4,0,0],[2,0],[1]]
[[5,0,0,0],[3,0,0],[2,0],[2]]=>[[5,0,0,0],[3,0,0],[1,0],[0]]
[[5,0,0,0],[3,0,0],[3,0],[0]]=>[[5,0,0,0],[5,0,0],[3,0],[3]]
[[5,0,0,0],[3,0,0],[3,0],[1]]=>[[5,0,0,0],[4,0,0],[2,0],[2]]
[[5,0,0,0],[3,0,0],[3,0],[2]]=>[[5,0,0,0],[3,0,0],[1,0],[1]]
[[5,0,0,0],[3,0,0],[3,0],[3]]=>[[5,0,0,0],[2,0,0],[0,0],[0]]
[[5,0,0,0],[4,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[4,0],[0]]
[[5,0,0,0],[4,0,0],[1,0],[0]]=>[[5,0,0,0],[5,0,0],[4,0],[1]]
[[5,0,0,0],[4,0,0],[1,0],[1]]=>[[5,0,0,0],[4,0,0],[3,0],[0]]
[[5,0,0,0],[4,0,0],[2,0],[0]]=>[[5,0,0,0],[5,0,0],[4,0],[2]]
[[5,0,0,0],[4,0,0],[2,0],[1]]=>[[5,0,0,0],[4,0,0],[3,0],[1]]
[[5,0,0,0],[4,0,0],[2,0],[2]]=>[[5,0,0,0],[3,0,0],[2,0],[0]]
[[5,0,0,0],[4,0,0],[3,0],[0]]=>[[5,0,0,0],[5,0,0],[4,0],[3]]
[[5,0,0,0],[4,0,0],[3,0],[1]]=>[[5,0,0,0],[4,0,0],[3,0],[2]]
[[5,0,0,0],[4,0,0],[3,0],[2]]=>[[5,0,0,0],[3,0,0],[2,0],[1]]
[[5,0,0,0],[4,0,0],[3,0],[3]]=>[[5,0,0,0],[2,0,0],[1,0],[0]]
[[5,0,0,0],[4,0,0],[4,0],[0]]=>[[5,0,0,0],[5,0,0],[4,0],[4]]
[[5,0,0,0],[4,0,0],[4,0],[1]]=>[[5,0,0,0],[4,0,0],[3,0],[3]]
[[5,0,0,0],[4,0,0],[4,0],[2]]=>[[5,0,0,0],[3,0,0],[2,0],[2]]
[[5,0,0,0],[4,0,0],[4,0],[3]]=>[[5,0,0,0],[2,0,0],[1,0],[1]]
[[5,0,0,0],[4,0,0],[4,0],[4]]=>[[5,0,0,0],[1,0,0],[0,0],[0]]
[[5,0,0,0],[5,0,0],[0,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[0]]
[[5,0,0,0],[5,0,0],[1,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[1]]
[[5,0,0,0],[5,0,0],[1,0],[1]]=>[[5,0,0,0],[4,0,0],[4,0],[0]]
[[5,0,0,0],[5,0,0],[2,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[2]]
[[5,0,0,0],[5,0,0],[2,0],[1]]=>[[5,0,0,0],[4,0,0],[4,0],[1]]
[[5,0,0,0],[5,0,0],[2,0],[2]]=>[[5,0,0,0],[3,0,0],[3,0],[0]]
[[5,0,0,0],[5,0,0],[3,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[3]]
[[5,0,0,0],[5,0,0],[3,0],[1]]=>[[5,0,0,0],[4,0,0],[4,0],[2]]
[[5,0,0,0],[5,0,0],[3,0],[2]]=>[[5,0,0,0],[3,0,0],[3,0],[1]]
[[5,0,0,0],[5,0,0],[3,0],[3]]=>[[5,0,0,0],[2,0,0],[2,0],[0]]
[[5,0,0,0],[5,0,0],[4,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[4]]
[[5,0,0,0],[5,0,0],[4,0],[1]]=>[[5,0,0,0],[4,0,0],[4,0],[3]]
[[5,0,0,0],[5,0,0],[4,0],[2]]=>[[5,0,0,0],[3,0,0],[3,0],[2]]
[[5,0,0,0],[5,0,0],[4,0],[3]]=>[[5,0,0,0],[2,0,0],[2,0],[1]]
[[5,0,0,0],[5,0,0],[4,0],[4]]=>[[5,0,0,0],[1,0,0],[1,0],[0]]
[[5,0,0,0],[5,0,0],[5,0],[0]]=>[[5,0,0,0],[5,0,0],[5,0],[5]]
[[5,0,0,0],[5,0,0],[5,0],[1]]=>[[5,0,0,0],[4,0,0],[4,0],[4]]
[[5,0,0,0],[5,0,0],[5,0],[2]]=>[[5,0,0,0],[3,0,0],[3,0],[3]]
[[5,0,0,0],[5,0,0],[5,0],[3]]=>[[5,0,0,0],[2,0,0],[2,0],[2]]
[[5,0,0,0],[5,0,0],[5,0],[4]]=>[[5,0,0,0],[1,0,0],[1,0],[1]]
[[5,0,0,0],[5,0,0],[5,0],[5]]=>[[5,0,0,0],[0,0,0],[0,0],[0]]
[[4,1,0,0],[1,0,0],[0,0],[0]]=>[[4,1,0,0],[4,1,0],[1,0],[0]]
[[4,1,0,0],[1,0,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[1,0],[1]]
[[4,1,0,0],[1,0,0],[1,0],[1]]=>[[4,1,0,0],[4,0,0],[0,0],[0]]
[[4,1,0,0],[1,1,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[1,1],[1]]
[[4,1,0,0],[1,1,0],[1,0],[1]]=>[[4,1,0,0],[4,0,0],[1,0],[0]]
[[4,1,0,0],[1,1,0],[1,1],[1]]=>[[4,1,0,0],[4,0,0],[1,0],[1]]
[[4,1,0,0],[2,0,0],[0,0],[0]]=>[[4,1,0,0],[4,1,0],[2,0],[0]]
[[4,1,0,0],[2,0,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[2,0],[1]]
[[4,1,0,0],[2,0,0],[1,0],[1]]=>[[4,1,0,0],[3,1,0],[1,0],[0]]
[[4,1,0,0],[2,0,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[2,0],[2]]
[[4,1,0,0],[2,0,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[1,0],[1]]
[[4,1,0,0],[2,0,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[0,0],[0]]
[[4,1,0,0],[2,1,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[2,1],[1]]
[[4,1,0,0],[2,1,0],[1,0],[1]]=>[[4,1,0,0],[4,0,0],[2,0],[0]]
[[4,1,0,0],[2,1,0],[1,1],[1]]=>[[4,1,0,0],[4,0,0],[2,0],[1]]
[[4,1,0,0],[2,1,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[2,1],[2]]
[[4,1,0,0],[2,1,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[1,1],[1]]
[[4,1,0,0],[2,1,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[1,0],[0]]
[[4,1,0,0],[2,1,0],[2,1],[1]]=>[[4,1,0,0],[4,0,0],[2,0],[2]]
[[4,1,0,0],[2,1,0],[2,1],[2]]=>[[4,1,0,0],[3,0,0],[1,0],[1]]
[[4,1,0,0],[3,0,0],[0,0],[0]]=>[[4,1,0,0],[4,1,0],[3,0],[0]]
[[4,1,0,0],[3,0,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[3,0],[1]]
[[4,1,0,0],[3,0,0],[1,0],[1]]=>[[4,1,0,0],[3,1,0],[2,0],[0]]
[[4,1,0,0],[3,0,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[3,0],[2]]
[[4,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[2,0],[1]]
[[4,1,0,0],[3,0,0],[2,0],[2]]=>[[4,1,0,0],[2,1,0],[1,0],[0]]
[[4,1,0,0],[3,0,0],[3,0],[0]]=>[[4,1,0,0],[4,1,0],[3,0],[3]]
[[4,1,0,0],[3,0,0],[3,0],[1]]=>[[4,1,0,0],[3,1,0],[2,0],[2]]
[[4,1,0,0],[3,0,0],[3,0],[2]]=>[[4,1,0,0],[2,1,0],[1,0],[1]]
[[4,1,0,0],[3,0,0],[3,0],[3]]=>[[4,1,0,0],[2,0,0],[0,0],[0]]
[[4,1,0,0],[3,1,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[3,1],[1]]
[[4,1,0,0],[3,1,0],[1,0],[1]]=>[[4,1,0,0],[4,0,0],[3,0],[0]]
[[4,1,0,0],[3,1,0],[1,1],[1]]=>[[4,1,0,0],[4,0,0],[3,0],[1]]
[[4,1,0,0],[3,1,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[3,1],[2]]
[[4,1,0,0],[3,1,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[2,1],[1]]
[[4,1,0,0],[3,1,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[2,0],[0]]
[[4,1,0,0],[3,1,0],[2,1],[1]]=>[[4,1,0,0],[4,0,0],[3,0],[2]]
[[4,1,0,0],[3,1,0],[2,1],[2]]=>[[4,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,0,0],[3,1,0],[3,0],[0]]=>[[4,1,0,0],[4,1,0],[3,1],[3]]
[[4,1,0,0],[3,1,0],[3,0],[1]]=>[[4,1,0,0],[3,1,0],[2,1],[2]]
[[4,1,0,0],[3,1,0],[3,0],[2]]=>[[4,1,0,0],[2,1,0],[1,1],[1]]
[[4,1,0,0],[3,1,0],[3,0],[3]]=>[[4,1,0,0],[2,0,0],[1,0],[0]]
[[4,1,0,0],[3,1,0],[3,1],[1]]=>[[4,1,0,0],[4,0,0],[3,0],[3]]
[[4,1,0,0],[3,1,0],[3,1],[2]]=>[[4,1,0,0],[3,0,0],[2,0],[2]]
[[4,1,0,0],[3,1,0],[3,1],[3]]=>[[4,1,0,0],[2,0,0],[1,0],[1]]
[[4,1,0,0],[4,0,0],[0,0],[0]]=>[[4,1,0,0],[4,1,0],[4,0],[0]]
[[4,1,0,0],[4,0,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[4,0],[1]]
[[4,1,0,0],[4,0,0],[1,0],[1]]=>[[4,1,0,0],[3,1,0],[3,0],[0]]
[[4,1,0,0],[4,0,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[4,0],[2]]
[[4,1,0,0],[4,0,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[3,0],[1]]
[[4,1,0,0],[4,0,0],[2,0],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[0]]
[[4,1,0,0],[4,0,0],[3,0],[0]]=>[[4,1,0,0],[4,1,0],[4,0],[3]]
[[4,1,0,0],[4,0,0],[3,0],[1]]=>[[4,1,0,0],[3,1,0],[3,0],[2]]
[[4,1,0,0],[4,0,0],[3,0],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[1]]
[[4,1,0,0],[4,0,0],[3,0],[3]]=>[[4,1,0,0],[1,1,0],[1,0],[0]]
[[4,1,0,0],[4,0,0],[4,0],[0]]=>[[4,1,0,0],[4,1,0],[4,0],[4]]
[[4,1,0,0],[4,0,0],[4,0],[1]]=>[[4,1,0,0],[3,1,0],[3,0],[3]]
[[4,1,0,0],[4,0,0],[4,0],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[2]]
[[4,1,0,0],[4,0,0],[4,0],[3]]=>[[4,1,0,0],[1,1,0],[1,0],[1]]
[[4,1,0,0],[4,0,0],[4,0],[4]]=>[[4,1,0,0],[1,0,0],[0,0],[0]]
[[4,1,0,0],[4,1,0],[1,0],[0]]=>[[4,1,0,0],[4,1,0],[4,1],[1]]
[[4,1,0,0],[4,1,0],[1,0],[1]]=>[[4,1,0,0],[4,0,0],[4,0],[0]]
[[4,1,0,0],[4,1,0],[1,1],[1]]=>[[4,1,0,0],[4,0,0],[4,0],[1]]
[[4,1,0,0],[4,1,0],[2,0],[0]]=>[[4,1,0,0],[4,1,0],[4,1],[2]]
[[4,1,0,0],[4,1,0],[2,0],[1]]=>[[4,1,0,0],[3,1,0],[3,1],[1]]
[[4,1,0,0],[4,1,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[0]]
[[4,1,0,0],[4,1,0],[2,1],[1]]=>[[4,1,0,0],[4,0,0],[4,0],[2]]
[[4,1,0,0],[4,1,0],[2,1],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[1]]
[[4,1,0,0],[4,1,0],[3,0],[0]]=>[[4,1,0,0],[4,1,0],[4,1],[3]]
[[4,1,0,0],[4,1,0],[3,0],[1]]=>[[4,1,0,0],[3,1,0],[3,1],[2]]
[[4,1,0,0],[4,1,0],[3,0],[2]]=>[[4,1,0,0],[2,1,0],[2,1],[1]]
[[4,1,0,0],[4,1,0],[3,0],[3]]=>[[4,1,0,0],[2,0,0],[2,0],[0]]
[[4,1,0,0],[4,1,0],[3,1],[1]]=>[[4,1,0,0],[4,0,0],[4,0],[3]]
[[4,1,0,0],[4,1,0],[3,1],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[2]]
[[4,1,0,0],[4,1,0],[3,1],[3]]=>[[4,1,0,0],[2,0,0],[2,0],[1]]
[[4,1,0,0],[4,1,0],[4,0],[0]]=>[[4,1,0,0],[4,1,0],[4,1],[4]]
[[4,1,0,0],[4,1,0],[4,0],[1]]=>[[4,1,0,0],[3,1,0],[3,1],[3]]
[[4,1,0,0],[4,1,0],[4,0],[2]]=>[[4,1,0,0],[2,1,0],[2,1],[2]]
[[4,1,0,0],[4,1,0],[4,0],[3]]=>[[4,1,0,0],[1,1,0],[1,1],[1]]
[[4,1,0,0],[4,1,0],[4,0],[4]]=>[[4,1,0,0],[1,0,0],[1,0],[0]]
[[4,1,0,0],[4,1,0],[4,1],[1]]=>[[4,1,0,0],[4,0,0],[4,0],[4]]
[[4,1,0,0],[4,1,0],[4,1],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[3]]
[[4,1,0,0],[4,1,0],[4,1],[3]]=>[[4,1,0,0],[2,0,0],[2,0],[2]]
[[4,1,0,0],[4,1,0],[4,1],[4]]=>[[4,1,0,0],[1,0,0],[1,0],[1]]
[[3,2,0,0],[2,0,0],[0,0],[0]]=>[[3,2,0,0],[3,2,0],[2,0],[0]]
[[3,2,0,0],[2,0,0],[1,0],[0]]=>[[3,2,0,0],[3,2,0],[2,0],[1]]
[[3,2,0,0],[2,0,0],[1,0],[1]]=>[[3,2,0,0],[3,1,0],[1,0],[0]]
[[3,2,0,0],[2,0,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[2,0],[2]]
[[3,2,0,0],[2,0,0],[2,0],[1]]=>[[3,2,0,0],[3,1,0],[1,0],[1]]
[[3,2,0,0],[2,0,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[0,0],[0]]
[[3,2,0,0],[2,1,0],[1,0],[0]]=>[[3,2,0,0],[3,2,0],[2,1],[1]]
[[3,2,0,0],[2,1,0],[1,0],[1]]=>[[3,2,0,0],[3,1,0],[2,0],[0]]
[[3,2,0,0],[2,1,0],[1,1],[1]]=>[[3,2,0,0],[3,1,0],[2,0],[1]]
[[3,2,0,0],[2,1,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[2,1],[2]]
[[3,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,0,0],[3,1,0],[1,1],[1]]
[[3,2,0,0],[2,1,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[1,0],[0]]
[[3,2,0,0],[2,1,0],[2,1],[1]]=>[[3,2,0,0],[3,1,0],[2,0],[2]]
[[3,2,0,0],[2,1,0],[2,1],[2]]=>[[3,2,0,0],[3,0,0],[1,0],[1]]
[[3,2,0,0],[2,2,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[2,2],[2]]
[[3,2,0,0],[2,2,0],[2,0],[1]]=>[[3,2,0,0],[3,1,0],[2,1],[1]]
[[3,2,0,0],[2,2,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[2,0],[0]]
[[3,2,0,0],[2,2,0],[2,1],[1]]=>[[3,2,0,0],[3,1,0],[2,1],[2]]
[[3,2,0,0],[2,2,0],[2,1],[2]]=>[[3,2,0,0],[3,0,0],[2,0],[1]]
[[3,2,0,0],[2,2,0],[2,2],[2]]=>[[3,2,0,0],[3,0,0],[2,0],[2]]
[[3,2,0,0],[3,0,0],[0,0],[0]]=>[[3,2,0,0],[3,2,0],[3,0],[0]]
[[3,2,0,0],[3,0,0],[1,0],[0]]=>[[3,2,0,0],[3,2,0],[3,0],[1]]
[[3,2,0,0],[3,0,0],[1,0],[1]]=>[[3,2,0,0],[2,2,0],[2,0],[0]]
[[3,2,0,0],[3,0,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[3,0],[2]]
[[3,2,0,0],[3,0,0],[2,0],[1]]=>[[3,2,0,0],[2,2,0],[2,0],[1]]
[[3,2,0,0],[3,0,0],[2,0],[2]]=>[[3,2,0,0],[2,1,0],[1,0],[0]]
[[3,2,0,0],[3,0,0],[3,0],[0]]=>[[3,2,0,0],[3,2,0],[3,0],[3]]
[[3,2,0,0],[3,0,0],[3,0],[1]]=>[[3,2,0,0],[2,2,0],[2,0],[2]]
[[3,2,0,0],[3,0,0],[3,0],[2]]=>[[3,2,0,0],[2,1,0],[1,0],[1]]
[[3,2,0,0],[3,0,0],[3,0],[3]]=>[[3,2,0,0],[2,0,0],[0,0],[0]]
[[3,2,0,0],[3,1,0],[1,0],[0]]=>[[3,2,0,0],[3,2,0],[3,1],[1]]
[[3,2,0,0],[3,1,0],[1,0],[1]]=>[[3,2,0,0],[3,1,0],[3,0],[0]]
[[3,2,0,0],[3,1,0],[1,1],[1]]=>[[3,2,0,0],[3,1,0],[3,0],[1]]
[[3,2,0,0],[3,1,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[3,1],[2]]
[[3,2,0,0],[3,1,0],[2,0],[1]]=>[[3,2,0,0],[2,2,0],[2,1],[1]]
[[3,2,0,0],[3,1,0],[2,0],[2]]=>[[3,2,0,0],[2,1,0],[2,0],[0]]
[[3,2,0,0],[3,1,0],[2,1],[1]]=>[[3,2,0,0],[3,1,0],[3,0],[2]]
[[3,2,0,0],[3,1,0],[2,1],[2]]=>[[3,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,0,0],[3,1,0],[3,0],[0]]=>[[3,2,0,0],[3,2,0],[3,1],[3]]
[[3,2,0,0],[3,1,0],[3,0],[1]]=>[[3,2,0,0],[2,2,0],[2,1],[2]]
[[3,2,0,0],[3,1,0],[3,0],[2]]=>[[3,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,0,0],[3,1,0],[3,0],[3]]=>[[3,2,0,0],[2,0,0],[1,0],[0]]
[[3,2,0,0],[3,1,0],[3,1],[1]]=>[[3,2,0,0],[3,1,0],[3,0],[3]]
[[3,2,0,0],[3,1,0],[3,1],[2]]=>[[3,2,0,0],[2,1,0],[2,0],[2]]
[[3,2,0,0],[3,1,0],[3,1],[3]]=>[[3,2,0,0],[2,0,0],[1,0],[1]]
[[3,2,0,0],[3,2,0],[2,0],[0]]=>[[3,2,0,0],[3,2,0],[3,2],[2]]
[[3,2,0,0],[3,2,0],[2,0],[1]]=>[[3,2,0,0],[3,1,0],[3,1],[1]]
[[3,2,0,0],[3,2,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[3,0],[0]]
[[3,2,0,0],[3,2,0],[2,1],[1]]=>[[3,2,0,0],[3,1,0],[3,1],[2]]
[[3,2,0,0],[3,2,0],[2,1],[2]]=>[[3,2,0,0],[3,0,0],[3,0],[1]]
[[3,2,0,0],[3,2,0],[2,2],[2]]=>[[3,2,0,0],[3,0,0],[3,0],[2]]
[[3,2,0,0],[3,2,0],[3,0],[0]]=>[[3,2,0,0],[3,2,0],[3,2],[3]]
[[3,2,0,0],[3,2,0],[3,0],[1]]=>[[3,2,0,0],[2,2,0],[2,2],[2]]
[[3,2,0,0],[3,2,0],[3,0],[2]]=>[[3,2,0,0],[2,1,0],[2,1],[1]]
[[3,2,0,0],[3,2,0],[3,0],[3]]=>[[3,2,0,0],[2,0,0],[2,0],[0]]
[[3,2,0,0],[3,2,0],[3,1],[1]]=>[[3,2,0,0],[3,1,0],[3,1],[3]]
[[3,2,0,0],[3,2,0],[3,1],[2]]=>[[3,2,0,0],[2,1,0],[2,1],[2]]
[[3,2,0,0],[3,2,0],[3,1],[3]]=>[[3,2,0,0],[2,0,0],[2,0],[1]]
[[3,2,0,0],[3,2,0],[3,2],[2]]=>[[3,2,0,0],[3,0,0],[3,0],[3]]
[[3,2,0,0],[3,2,0],[3,2],[3]]=>[[3,2,0,0],[2,0,0],[2,0],[2]]
[[3,1,1,0],[1,1,0],[1,0],[0]]=>[[3,1,1,0],[3,1,1],[1,1],[1]]
[[3,1,1,0],[1,1,0],[1,0],[1]]=>[[3,1,1,0],[3,1,0],[1,0],[0]]
[[3,1,1,0],[1,1,0],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[1,0],[1]]
[[3,1,1,0],[1,1,1],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[1,1],[1]]
[[3,1,1,0],[2,1,0],[1,0],[0]]=>[[3,1,1,0],[3,1,1],[2,1],[1]]
[[3,1,1,0],[2,1,0],[1,0],[1]]=>[[3,1,1,0],[3,1,0],[2,0],[0]]
[[3,1,1,0],[2,1,0],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[2,0],[1]]
[[3,1,1,0],[2,1,0],[2,0],[0]]=>[[3,1,1,0],[3,1,1],[2,1],[2]]
[[3,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,0],[2,1,1],[1,1],[1]]
[[3,1,1,0],[2,1,0],[2,0],[2]]=>[[3,1,1,0],[2,1,0],[1,0],[0]]
[[3,1,1,0],[2,1,0],[2,1],[1]]=>[[3,1,1,0],[3,1,0],[2,0],[2]]
[[3,1,1,0],[2,1,0],[2,1],[2]]=>[[3,1,1,0],[2,1,0],[1,0],[1]]
[[3,1,1,0],[2,1,1],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[2,1],[1]]
[[3,1,1,0],[2,1,1],[2,1],[1]]=>[[3,1,1,0],[3,1,0],[2,1],[2]]
[[3,1,1,0],[2,1,1],[2,1],[2]]=>[[3,1,1,0],[2,1,0],[1,1],[1]]
[[3,1,1,0],[3,1,0],[1,0],[0]]=>[[3,1,1,0],[3,1,1],[3,1],[1]]
[[3,1,1,0],[3,1,0],[1,0],[1]]=>[[3,1,1,0],[3,1,0],[3,0],[0]]
[[3,1,1,0],[3,1,0],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[3,0],[1]]
[[3,1,1,0],[3,1,0],[2,0],[0]]=>[[3,1,1,0],[3,1,1],[3,1],[2]]
[[3,1,1,0],[3,1,0],[2,0],[1]]=>[[3,1,1,0],[2,1,1],[2,1],[1]]
[[3,1,1,0],[3,1,0],[2,0],[2]]=>[[3,1,1,0],[2,1,0],[2,0],[0]]
[[3,1,1,0],[3,1,0],[2,1],[1]]=>[[3,1,1,0],[3,1,0],[3,0],[2]]
[[3,1,1,0],[3,1,0],[2,1],[2]]=>[[3,1,1,0],[2,1,0],[2,0],[1]]
[[3,1,1,0],[3,1,0],[3,0],[0]]=>[[3,1,1,0],[3,1,1],[3,1],[3]]
[[3,1,1,0],[3,1,0],[3,0],[1]]=>[[3,1,1,0],[2,1,1],[2,1],[2]]
[[3,1,1,0],[3,1,0],[3,0],[2]]=>[[3,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,0],[3,1,0],[3,0],[3]]=>[[3,1,1,0],[1,1,0],[1,0],[0]]
[[3,1,1,0],[3,1,0],[3,1],[1]]=>[[3,1,1,0],[3,1,0],[3,0],[3]]
[[3,1,1,0],[3,1,0],[3,1],[2]]=>[[3,1,1,0],[2,1,0],[2,0],[2]]
[[3,1,1,0],[3,1,0],[3,1],[3]]=>[[3,1,1,0],[1,1,0],[1,0],[1]]
[[3,1,1,0],[3,1,1],[1,1],[1]]=>[[3,1,1,0],[3,1,0],[3,1],[1]]
[[3,1,1,0],[3,1,1],[2,1],[1]]=>[[3,1,1,0],[3,1,0],[3,1],[2]]
[[3,1,1,0],[3,1,1],[2,1],[2]]=>[[3,1,1,0],[2,1,0],[2,1],[1]]
[[3,1,1,0],[3,1,1],[3,1],[1]]=>[[3,1,1,0],[3,1,0],[3,1],[3]]
[[3,1,1,0],[3,1,1],[3,1],[2]]=>[[3,1,1,0],[2,1,0],[2,1],[2]]
[[3,1,1,0],[3,1,1],[3,1],[3]]=>[[3,1,1,0],[1,1,0],[1,1],[1]]
[[2,2,1,0],[2,1,0],[1,0],[0]]=>[[2,2,1,0],[2,2,1],[2,1],[1]]
[[2,2,1,0],[2,1,0],[1,0],[1]]=>[[2,2,1,0],[2,2,0],[2,0],[0]]
[[2,2,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,0],[2,2,0],[2,0],[1]]
[[2,2,1,0],[2,1,0],[2,0],[0]]=>[[2,2,1,0],[2,2,1],[2,1],[2]]
[[2,2,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,0],[2,1,1],[1,1],[1]]
[[2,2,1,0],[2,1,0],[2,0],[2]]=>[[2,2,1,0],[2,1,0],[1,0],[0]]
[[2,2,1,0],[2,1,0],[2,1],[1]]=>[[2,2,1,0],[2,2,0],[2,0],[2]]
[[2,2,1,0],[2,1,0],[2,1],[2]]=>[[2,2,1,0],[2,1,0],[1,0],[1]]
[[2,2,1,0],[2,1,1],[1,1],[1]]=>[[2,2,1,0],[2,2,0],[2,1],[1]]
[[2,2,1,0],[2,1,1],[2,1],[1]]=>[[2,2,1,0],[2,2,0],[2,1],[2]]
[[2,2,1,0],[2,1,1],[2,1],[2]]=>[[2,2,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,0],[2,2,0],[2,0],[0]]=>[[2,2,1,0],[2,2,1],[2,2],[2]]
[[2,2,1,0],[2,2,0],[2,0],[1]]=>[[2,2,1,0],[2,1,1],[2,1],[1]]
[[2,2,1,0],[2,2,0],[2,0],[2]]=>[[2,2,1,0],[2,1,0],[2,0],[0]]
[[2,2,1,0],[2,2,0],[2,1],[1]]=>[[2,2,1,0],[2,1,1],[2,1],[2]]
[[2,2,1,0],[2,2,0],[2,1],[2]]=>[[2,2,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,0],[2,2,0],[2,2],[2]]=>[[2,2,1,0],[2,1,0],[2,0],[2]]
[[2,2,1,0],[2,2,1],[2,1],[1]]=>[[2,2,1,0],[2,2,0],[2,2],[2]]
[[2,2,1,0],[2,2,1],[2,1],[2]]=>[[2,2,1,0],[2,1,0],[2,1],[1]]
[[2,2,1,0],[2,2,1],[2,2],[2]]=>[[2,2,1,0],[2,1,0],[2,1],[2]]
[[2,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1],[2,1,1],[1,1],[1]]
[[2,1,1,1],[2,1,1],[1,1],[1]]=>[[2,1,1,1],[2,1,1],[2,1],[1]]
[[2,1,1,1],[2,1,1],[2,1],[1]]=>[[2,1,1,1],[2,1,1],[2,1],[2]]
[[2,1,1,1],[2,1,1],[2,1],[2]]=>[[2,1,1,1],[1,1,1],[1,1],[1]]
[[4,3,2,1],[4,3,2],[4,3],[4]]=>[[4,3,2,1],[3,2,1],[3,2],[3]]
[[4,3,2,1],[4,3,2],[4,3],[3]]=>[[4,3,2,1],[4,2,1],[4,2],[4]]
[[4,3,2,1],[4,3,2],[4,2],[4]]=>[[4,3,2,1],[3,2,1],[3,2],[2]]
[[4,3,2,1],[4,3,2],[4,2],[3]]=>[[4,3,2,1],[3,3,1],[3,3],[3]]
[[4,3,2,1],[4,3,2],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[4,2],[2]]
[[4,3,2,1],[4,3,2],[4,2],[2]]=>[[4,3,2,1],[4,3,1],[4,3],[4]]
[[4,3,2,1],[4,3,2],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[4,3],[3]]
[[4,3,2,1],[4,3,1],[4,3],[4]]=>[[4,3,2,1],[3,2,1],[3,1],[3]]
[[4,3,2,1],[4,3,1],[4,3],[3]]=>[[4,3,2,1],[4,2,1],[4,1],[4]]
[[4,3,2,1],[4,3,1],[4,2],[4]]=>[[4,3,2,1],[3,2,1],[3,1],[2]]
[[4,3,2,1],[4,3,1],[4,2],[3]]=>[[4,3,2,1],[3,2,2],[3,2],[3]]
[[4,3,2,1],[4,3,1],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[4,1],[2]]
[[4,3,2,1],[4,3,1],[4,2],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[4]]
[[4,3,2,1],[4,3,1],[3,2],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[3]]
[[4,3,2,1],[4,2,1],[4,2],[4]]=>[[4,3,2,1],[3,2,1],[2,1],[2]]
[[4,3,2,1],[4,2,1],[4,2],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[3]]
[[4,3,2,1],[4,2,1],[3,2],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[2]]
[[4,3,2,1],[3,2,1],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[2,1],[2]]
[[4,3,2,1],[4,2,1],[4,2],[2]]=>[[4,3,2,1],[4,3,1],[4,1],[4]]
[[4,3,2,1],[4,2,1],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[4,1],[3]]
[[4,3,2,1],[3,2,1],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[3,1],[3]]
[[4,3,2,1],[4,3,1],[4,1],[4]]=>[[4,3,2,1],[3,2,1],[3,1],[1]]
[[4,3,2,1],[4,3,1],[4,1],[3]]=>[[4,3,2,1],[3,2,2],[3,2],[2]]
[[4,3,2,1],[4,3,1],[3,1],[3]]=>[[4,3,2,1],[4,2,1],[4,1],[1]]
[[4,3,2,1],[4,3,1],[4,1],[2]]=>[[4,3,2,1],[3,3,2],[3,3],[3]]
[[4,3,2,1],[4,3,1],[3,1],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[2]]
[[4,3,2,1],[4,2,1],[4,1],[4]]=>[[4,3,2,1],[3,2,1],[2,1],[1]]
[[4,3,2,1],[4,2,1],[4,1],[3]]=>[[4,3,2,1],[3,2,2],[2,2],[2]]
[[4,3,2,1],[4,2,1],[3,1],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[1]]
[[4,3,2,1],[3,2,1],[3,1],[3]]=>[[4,3,2,1],[4,2,1],[2,1],[1]]
[[4,3,2,1],[4,2,1],[4,1],[2]]=>[[4,3,2,1],[3,3,2],[3,2],[3]]
[[4,3,2,1],[4,2,1],[3,1],[2]]=>[[4,3,2,1],[3,3,2],[3,2],[2]]
[[4,3,2,1],[3,2,1],[3,1],[2]]=>[[4,3,2,1],[4,2,2],[2,2],[2]]
[[4,3,2,1],[4,2,1],[2,1],[2]]=>[[4,3,2,1],[4,3,1],[4,1],[1]]
[[4,3,2,1],[3,2,1],[2,1],[2]]=>[[4,3,2,1],[4,3,1],[3,1],[1]]
[[4,3,2,1],[4,3,1],[4,1],[1]]=>[[4,3,2,1],[4,3,2],[4,3],[4]]
[[4,3,2,1],[4,3,1],[3,1],[1]]=>[[4,3,2,1],[4,3,2],[4,3],[3]]
[[4,3,2,1],[4,2,1],[4,1],[1]]=>[[4,3,2,1],[4,3,2],[4,2],[4]]
[[4,3,2,1],[4,2,1],[3,1],[1]]=>[[4,3,2,1],[4,3,2],[4,2],[3]]
[[4,3,2,1],[3,2,1],[3,1],[1]]=>[[4,3,2,1],[4,3,2],[3,2],[3]]
[[4,3,2,1],[4,2,1],[2,1],[1]]=>[[4,3,2,1],[4,3,2],[4,2],[2]]
[[4,3,2,1],[3,2,1],[2,1],[1]]=>[[4,3,2,1],[4,3,2],[3,2],[2]]
[[4,3,2,1],[3,3,1],[3,1],[1]]=>[[4,3,2,1],[4,3,2],[3,3],[3]]
[[4,3,2,1],[3,2,1],[2,2],[2]]=>[[4,3,2,1],[4,3,1],[3,1],[2]]
[[4,3,2,1],[3,2,2],[2,2],[2]]=>[[4,3,2,1],[4,3,1],[3,2],[2]]
[[4,3,2,1],[4,2,2],[2,2],[2]]=>[[4,3,2,1],[4,3,1],[4,2],[2]]
[[4,3,2,1],[4,2,2],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[4,2],[3]]
[[4,3,2,1],[3,3,1],[3,1],[3]]=>[[4,3,2,1],[4,2,1],[3,1],[1]]
[[4,3,2,1],[3,3,1],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[3,1],[2]]
[[4,3,2,1],[3,2,2],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[3,2],[3]]
[[4,3,2,1],[3,3,2],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[3,3],[3]]
[[4,3,2,1],[4,2,2],[4,2],[2]]=>[[4,3,2,1],[4,3,1],[4,2],[4]]
[[4,3,2,1],[3,2,2],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[2,2],[2]]
[[4,3,2,1],[3,3,1],[3,3],[3]]=>[[4,3,2,1],[4,2,1],[3,1],[3]]
[[4,3,2,1],[3,3,2],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[3,2],[2]]
[[4,3,2,1],[3,3,2],[3,3],[3]]=>[[4,3,2,1],[4,2,1],[3,2],[3]]
[[4,3,2,1],[4,2,2],[4,2],[4]]=>[[4,3,2,1],[3,2,1],[2,2],[2]]
[[4,3,2,1],[4,3,2],[3,3],[3]]=>[[4,3,2,1],[4,2,1],[4,2],[3]]
[[4,3,2,1],[4,2,1],[2,2],[2]]=>[[4,3,2,1],[4,3,1],[4,1],[2]]
[[4,3,2,1],[4,3,1],[3,3],[3]]=>[[4,3,2,1],[4,2,1],[4,1],[3]]
[[7,2,1,0],[7,2,0],[7,0],[4]]=>[[7,2,1,0],[3,2,1],[3,2],[3]]
[[7,2,1,0],[7,2,0],[7,0],[3]]=>[[7,2,1,0],[4,2,1],[4,2],[4]]
[[7,2,1,0],[7,2,0],[6,0],[4]]=>[[7,2,1,0],[3,2,1],[3,2],[2]]
[[7,2,1,0],[7,2,0],[6,0],[3]]=>[[7,2,1,0],[4,2,1],[4,2],[3]]
[[7,2,1,0],[7,2,0],[5,0],[3]]=>[[7,2,1,0],[4,2,1],[4,2],[2]]
[[7,2,1,0],[7,2,0],[6,0],[2]]=>[[7,2,1,0],[5,2,1],[5,2],[4]]
[[7,2,1,0],[7,2,0],[5,0],[2]]=>[[7,2,1,0],[5,2,1],[5,2],[3]]
[[7,2,1,0],[7,1,0],[7,0],[4]]=>[[7,2,1,0],[3,2,1],[3,1],[3]]
[[7,2,1,0],[7,1,0],[7,0],[3]]=>[[7,2,1,0],[4,2,1],[4,1],[4]]
[[7,2,1,0],[7,1,0],[6,0],[4]]=>[[7,2,1,0],[3,2,1],[3,1],[2]]
[[7,2,1,0],[7,1,0],[6,0],[3]]=>[[7,2,1,0],[4,2,1],[4,1],[3]]
[[6,3,1,0],[6,2,0],[5,0],[3]]=>[[6,3,1,0],[3,3,1],[3,2],[2]]
[[7,2,1,0],[7,1,0],[6,0],[2]]=>[[7,2,1,0],[5,2,1],[5,1],[4]]
[[6,3,1,0],[6,2,0],[5,0],[2]]=>[[6,3,1,0],[4,3,1],[4,2],[3]]
[[7,2,1,0],[6,1,0],[6,0],[4]]=>[[7,2,1,0],[3,2,1],[2,1],[2]]
[[7,2,1,0],[6,1,0],[6,0],[3]]=>[[7,2,1,0],[4,2,1],[3,1],[3]]
[[7,2,1,0],[5,2,0],[5,0],[3]]=>[[7,2,1,0],[4,2,1],[2,2],[2]]
[[7,2,1,0],[5,1,0],[5,0],[3]]=>[[7,2,1,0],[4,2,1],[2,1],[2]]
[[7,2,1,0],[6,1,0],[6,0],[2]]=>[[7,2,1,0],[5,2,1],[4,1],[4]]
[[7,2,1,0],[5,2,0],[5,0],[2]]=>[[7,2,1,0],[5,2,1],[3,2],[3]]
[[7,2,1,0],[5,1,0],[5,0],[2]]=>[[7,2,1,0],[5,2,1],[3,1],[3]]
[[7,2,1,0],[7,1,0],[5,0],[4]]=>[[7,2,1,0],[3,2,1],[3,1],[1]]
[[7,2,1,0],[7,1,0],[5,0],[3]]=>[[7,2,1,0],[4,2,1],[4,1],[2]]
[[7,2,1,0],[7,1,0],[4,0],[3]]=>[[7,2,1,0],[4,2,1],[4,1],[1]]
[[7,2,1,0],[7,1,0],[5,0],[2]]=>[[7,2,1,0],[5,2,1],[5,1],[3]]
[[7,2,1,0],[7,1,0],[4,0],[2]]=>[[7,2,1,0],[5,2,1],[5,1],[2]]
[[7,2,1,0],[6,1,0],[5,0],[4]]=>[[7,2,1,0],[3,2,1],[2,1],[1]]
[[7,2,1,0],[6,1,0],[5,0],[3]]=>[[7,2,1,0],[4,2,1],[3,1],[2]]
[[7,2,1,0],[6,1,0],[4,0],[3]]=>[[7,2,1,0],[4,2,1],[3,1],[1]]
[[7,2,1,0],[5,1,0],[4,0],[3]]=>[[7,2,1,0],[4,2,1],[2,1],[1]]
[[7,2,1,0],[6,1,0],[5,0],[2]]=>[[7,2,1,0],[5,2,1],[4,1],[3]]
[[7,2,1,0],[6,1,0],[4,0],[2]]=>[[7,2,1,0],[5,2,1],[4,1],[2]]
[[7,2,1,0],[5,1,0],[4,0],[2]]=>[[7,2,1,0],[5,2,1],[3,1],[2]]
[[7,2,1,0],[6,1,0],[3,0],[2]]=>[[7,2,1,0],[5,2,1],[4,1],[1]]
[[7,2,1,0],[5,1,0],[3,0],[2]]=>[[7,2,1,0],[5,2,1],[3,1],[1]]
[[7,2,1,0],[7,1,0],[5,0],[1]]=>[[7,2,1,0],[6,2,1],[6,1],[4]]
[[7,2,1,0],[7,1,0],[4,0],[1]]=>[[7,2,1,0],[6,2,1],[6,1],[3]]
[[7,2,1,0],[6,1,0],[5,0],[1]]=>[[7,2,1,0],[6,2,1],[5,1],[4]]
[[7,2,1,0],[6,1,0],[4,0],[1]]=>[[7,2,1,0],[6,2,1],[5,1],[3]]
[[7,2,1,0],[5,1,0],[4,0],[1]]=>[[7,2,1,0],[6,2,1],[4,1],[3]]
[[7,2,1,0],[6,1,0],[3,0],[1]]=>[[7,2,1,0],[6,2,1],[5,1],[2]]
[[7,2,1,0],[5,1,0],[3,0],[1]]=>[[7,2,1,0],[6,2,1],[4,1],[2]]
[[4,3,2,1],[4,2,2],[4,2],[3]]=>[[4,3,2,1],[3,3,1],[3,2],[3]]
[[4,3,2,1],[3,3,1],[3,1],[2]]=>[[4,3,2,1],[4,2,2],[3,2],[2]]
[[4,3,2,1],[3,3,1],[3,2],[2]]=>[[4,3,2,1],[4,2,2],[3,2],[3]]
[[4,3,2,1],[4,2,2],[3,2],[3]]=>[[4,3,2,1],[3,3,1],[3,2],[2]]
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
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[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
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[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
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[[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
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[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
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[[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>[[3,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>[[3,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>[[3,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]=>[[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]=>[[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]=>[[3,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]=>[[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]=>[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]=>[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]
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[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]=>[[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]=>[[3,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
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[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]=>[[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]=>[[3,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[2,2,0,0,0],[2,2,0,0],[2,0,0],[0,0],[0]]
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[[2,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>[[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]
[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>[[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>[[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]
[[2,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,1,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[2,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]]=>[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[2,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]=>[[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[2,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]=>[[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]]=>[[1,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>[[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[4]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[4]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[4]]
[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[4]]
[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[4]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[3]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[3]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[3]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[3]]
[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[3]]
[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[3]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[2]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[2]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[2]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[2]]
[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[2]]
[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[2]]
[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[1]]
[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[1]]
[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[1]]
[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]=>[[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[1]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[5]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[5]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[5]]
[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[5]]
[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[3]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[3]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[3]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[3]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[3]]
[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[3]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[2]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[2]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[2]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]
[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[2]]
[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]
[[5,4,3,2,1],[5,4,3,1],[5,4,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[1]]
[[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[1]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]
[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[4]]=>[[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[1]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[5]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[5]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[5]]
[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[5]]
[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,1],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[4]]
[[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[4]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[4]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[4]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[2]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[2]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[2]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[2]]
[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[2]]
[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[5,4,3,2,1],[5,4,3,1],[5,3,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,1],[1]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[3]]=>[[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[5]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[5]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[5]]
[[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[5]]
[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[5]]
[[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[4]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[4]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[4]]
[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[4,1],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[4]]
[[5,4,3,2,1],[5,4,3,2],[5,3,2],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[3]]
[[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[3]]
[[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[3]]
[[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[3]]
[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[3,1],[3]]
[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[3]]
[[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[1]]
[[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,4,1],[4,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[1]]
[[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[5,3,1],[3,1],[1]]
[[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[2]]=>[[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[5]]
[[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[5]]
[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[5]]
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[[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[5]]
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[[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[4]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[4]]
[[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,2],[4]]
[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,2],[4]]
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[[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[3]]
[[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[3]]
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[[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,3,2],[3,2],[3]]
[[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[3]]
[[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[1]]=>[[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[2]]
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[[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,2],[4]]
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[[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,2],[3]]
[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[3]]
[[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,2],[3]]
[[5,4,3,2,1],[5,4,2,1],[5,3,2],[5,3],[5]]=>[[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[3]]
[[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[4]]=>[[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,2],[5]]
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[[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[4]]=>[[5,4,3,2,1],[4,3,3,1],[4,3,1],[4,3],[4]]
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[[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[4]]=>[[5,4,3,2,1],[4,4,2,1],[4,4,1],[4,2],[4]]
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[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>[[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>[[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[3,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>[[3,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[2,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>[[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>[[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[2,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>[[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]=>[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>[[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,3],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,2],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,2],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,2],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,3],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,3,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,3,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,3,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,3,2],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,5,3],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,5,3],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,5,2],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,5,2],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,2,1],[5,5,2],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,2],[5,4,4],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,1],[5,4,4],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,3],[5,4,3],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,3,2],[5,4,3],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,1],[5,4,3],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,2],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,1],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,1],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,2,1],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,5,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,5,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,5,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,5,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,2,1],[5,5,2],[5,3],[5]]
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[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,1],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,1],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,2,1],[5,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,2,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,2,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,3,2,1],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,3],[6,4],[4]]
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[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,2],[6,4],[4]]
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[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,2,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,2,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,3,2,1],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,3,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,2],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[5,2],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,5],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,2],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[5,2],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,4],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[3]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[3]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,3],[3]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[4,3],[3]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,3],[3]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,3,2],[4,2],[3]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,2],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,3,2],[4,2],[3]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,2],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,2],[3]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,4,1],[6,3],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[3]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,3,2],[6,2],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,3,2],[6,2],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[6,3,2],[6,2],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[6,3,1],[6,2],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[2]]
[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[6]]=>[[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[1]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,1],[6,4],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,1],[6,3],[6]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,3,2],[6,2],[6]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,3,2],[6,2],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,3,1],[6,2],[6]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,5],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[6]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,2,1],[5,5,1],[5,5],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,2,2],[5,4,2],[5,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,3],[5,3,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,3,2],[5,3,3],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,2,2],[5,3,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,4],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,3,2,2],[5,2,2],[5,2],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,2],[5,4,4],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,4,2,1],[5,4,4,1],[5,4,4],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,3],[5,4,3],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,3,2],[5,4,3],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,2,2],[5,4,2],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,3],[5,3,3],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,2],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,3,2],[5,3,3],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,2],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,2,2],[5,3,2],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,4,1],[6,3],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,3,2,2],[5,2,2],[4,2],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,3,2],[6,2],[5]]=>[[6,5,4,3,2,1],[5,4,3,3,1],[5,4,3,3],[4,3,3],[3,3],[3]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,3,2],[6,2],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,3,2],[4,3,3],[3,3],[3]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[6,3,2],[6,2],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,4,2,2],[4,3,2],[3,3],[3]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[6,3,1],[6,2],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[5,3,2,2],[4,2,2],[3,2],[3]]
[[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[5]]=>[[6,5,4,3,2,1],[5,4,3,2,2],[4,3,2,2],[3,2,2],[2,2],[2]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[5,4],[4]]=>[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[5,4],[4]]=>[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,1],[6,5,3],[6,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[5,4],[4]]=>[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,2],[6,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[5,4],[4]]=>[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,1],[6,5,2],[6,5],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[5,4],[4]]=>[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,5],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,4,2,1],[6,4,4,2],[6,4,4],[6,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,4,2,1],[6,4,4,1],[6,4,4],[6,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,3,1],[6,4,3,3],[6,4,3],[6,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,2,2],[6,4,3,2],[6,4,3],[6,4],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,2,2],[6,4,2,2],[6,4,2],[6,4],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,3,1],[6,4,3,3],[6,3,3],[6,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,2,2],[6,4,3,2],[6,3,3],[6,3],[5]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,2,2],[6,4,2,2],[6,3,2],[6,3],[5]]
[[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[5,4],[4]]=>[[6,5,4,3,2,1],[6,4,3,2,2],[6,3,2,2],[6,2,2],[6,2],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[5,3],[4]]=>[[6,5,4,3,2,1],[5,5,4,2,1],[5,5,4,2],[5,5,4],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[5,3],[4]]=>[[6,5,4,3,2,1],[5,5,4,2,1],[5,5,4,1],[5,5,4],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[5,3],[4]]=>[[6,5,4,3,2,1],[5,5,3,3,1],[5,5,3,3],[5,5,3],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[5,3],[4]]=>[[6,5,4,3,2,1],[5,5,3,2,2],[5,5,3,2],[5,5,3],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[5,3],[4]]=>[[6,5,4,3,2,1],[5,5,3,2,2],[5,5,2,2],[5,5,2],[5,4],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[5,3],[4]]=>[[6,5,4,3,2,1],[5,4,4,3,1],[5,4,4,3],[5,4,3],[5,3],[4]]
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[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>[[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>[[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>[[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1,1,1],[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],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>[[1,0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
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[[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
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[[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
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[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
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[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
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[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,3,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,2,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,4,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,2,2,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,2,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,2,2,2,1,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,3,1,1,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,2,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,2,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,2,2,1,1,0,0,0,0,0,0],[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,4,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[4,4,1,1,1,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[5,3,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,3,1,1,1,0,0,0,0,0,0],[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[3,3,3,2,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,2,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,2,2,2,0,0,0,0,0,0,0],[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,4,2,1,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,3,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,3,2,1,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,4,1,1,0,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,4,1,1,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,4,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[4,4,3,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,3,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[5,3,3,0,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,4,2,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[5,4,2,0,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,3,2,1,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,2,0,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,2,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,1,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,3,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,2,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,2,2,2,1,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,2,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,1,1,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,2,1,1,0,0,0,0,0,0],[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,1,1,1,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
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[[5,2,2,2,0,0,0,0,0,0,0],[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
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[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[9,3,0,0,0,0,0,0,0,0,0,0],[8,3,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[9,3,0,0,0,0,0,0,0,0,0,0],[8,3,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[8,4,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
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[[9,3,0,0,0,0,0,0,0,0,0,0],[8,3,0,0,0,0,0,0,0,0,0],[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[9,3,0,0,0,0,0,0,0,0,0,0],[8,3,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
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[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[12,0,0,0,0,0,0,0,0,0,0,0],[11,0,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[12,0,0,0,0,0,0,0,0,0,0,0],[11,0,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[4,3,2,2,1,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,2,2,1,0,0,0,0,0,0,0],[4,2,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,2,2,2,1,0,0,0,0,0,0,0],[5,2,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,3,1,1,0,0,0,0,0,0,0],[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,3,3,1,1,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,4,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,4,2,1,1,0,0,0,0,0,0,0],[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,3,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,3,2,1,1,0,0,0,0,0,0,0],[5,3,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[5,4,1,1,1,0,0,0,0,0,0,0],[4,4,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[5,4,1,1,1,0,0,0,0,0,0,0],[5,4,1,1,0,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[4,3,3,2,0,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,3,3,2,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[4,4,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[4,4,2,2,0,0,0,0,0,0,0,0],[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
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[[5,3,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[5,3,3,1,0,0,0,0,0,0,0,0],[5,3,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
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[[4,4,3,1,0,0,0,0,0,0,0,0],[4,4,3,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,2,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,3,2,0,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,3,2,2,1,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,2,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[6,4,2,0,0,0,0,0,0,0,0,0],[6,4,1,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[6,4,2,0,0,0,0,0,0,0,0,0],[5,4,2,0,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[3,3,2,2,1,1,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,3,2,2,1,1,0,0,0,0,0,0],[3,2,2,2,1,1,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[5,2,2,2,1,0,0,0,0,0,0,0],[5,2,2,2,0,0,0,0,0,0,0],[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,2,2,2,1,0,0,0,0,0,0,0],[4,2,2,2,1,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,3,3,1,1,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,3,3,1,1,0,0,0,0,0,0,0],[3,3,3,1,1,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,1,1,0,0,0,0,0,0,0],[4,4,2,1,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,1,1,0,0,0,0,0,0,0],[5,3,2,1,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,4,1,1,1,0,0,0,0,0,0,0],[5,4,1,1,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,4,1,1,1,0,0,0,0,0,0,0],[4,4,1,1,1,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[4,4,2,2,0,0,0,0,0,0,0,0],[4,4,2,1,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[4,4,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[5,3,2,2,0,0,0,0,0,0,0,0],[5,3,2,1,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[5,3,3,1,0,0,0,0,0,0,0,0],[5,3,3,0,0,0,0,0,0,0,0],[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[5,3,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[6,4,2,0,0,0,0,0,0,0,0,0],[5,4,2,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>[[6,4,2,0,0,0,0,0,0,0,0,0],[6,4,1,0,0,0,0,0,0,0,0],[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[3,3,2,2,1,1,0,0,0,0,0,0],[3,2,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,3,2,2,1,1,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
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[[5,3,2,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>[[5,3,2,2,1,0,0,0,0,0,0,0,0],[5,3,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[4,4,3,1,1,0,0,0,0,0,0,0,0],[4,3,3,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[4,4,3,1,1,0,0,0,0,0,0,0,0],[4,4,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[5,3,3,1,1,0,0,0,0,0,0,0,0],[4,3,3,1,1,0,0,0,0,0,0,0],[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[5,3,3,1,1,0,0,0,0,0,0,0,0],[5,3,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
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[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[8,5,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[8,5,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[8,5,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>[[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[7,7,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,4,0,0,0,0,0,0,0,0,0,0,0,0],[10,3,0,0,0,0,0,0,0,0,0,0,0],[10,2,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>[[11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,5,0,0,0,0,0,0,0,0,0,0,0,0],[9,4,0,0,0,0,0,0,0,0,0,0,0],[9,3,0,0,0,0,0,0,0,0,0,0],[9,2,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,3,0,0,0,0,0,0,0,0,0,0,0,0],[11,2,0,0,0,0,0,0,0,0,0,0,0],[11,1,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>[[11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,4,0,0,0,0,0,0,0,0,0,0,0,0,0],[11,3,0,0,0,0,0,0,0,0,0,0,0,0],[11,2,0,0,0,0,0,0,0,0,0,0,0],[11,1,0,0,0,0,0,0,0,0,0,0],[11,0,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
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Description
The inverse promotion of a Gelfand-Tsetlin pattern.
Gelfand-Tsetlin patterns are in bijection with pairs consisting of an integer $m$ and a semistandard Young tableau whose maximal entry is at most $m$. Schützenberger's promotion operator is a bijection on this set. Additionally it preserves the shape of the tableau, which corresponds to the first row of the pattern.
Gelfand-Tsetlin patterns are in bijection with pairs consisting of an integer $m$ and a semistandard Young tableau whose maximal entry is at most $m$. Schützenberger's promotion operator is a bijection on this set. Additionally it preserves the shape of the tableau, which corresponds to the first row of the pattern.
Properties
bijective, graded
Sage code
def mapping(p): return GelfandTsetlinPatterns(len(p))(p.to_tableau().promotion_inverse(len(p)-1))
Weight
21
Created
Feb 21, 2021 at 16:47 by Martin Rubey
Updated
Feb 21, 2021 at 16:47 by Martin Rubey
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