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],[2,2],[2]]
[[3,2,1],[3,1],[1]]=>[[3,2,1],[3,2],[3]]
[[3,2,1],[3,1],[2]]=>[[3,2,1],[3,1],[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],[1,1,0],[1,0],[0]]
[[2,1,0,0],[1,1,0],[1,1],[1]]=>[[2,1,0,0],[1,1,0],[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],[2,0,0],[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],[2,0,0],[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],[1,1,0],[1,1],[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],[2,0,0],[2,0],[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],[2,1,0],[1,0],[0]]
[[3,1,0,0],[1,1,0],[1,1],[1]]=>[[3,1,0,0],[2,1,0],[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],[3,0,0],[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],[3,0,0],[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],[2,1,0],[2,0],[0]]
[[3,1,0,0],[2,1,0],[1,1],[1]]=>[[3,1,0,0],[2,1,0],[1,1],[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],[2,0],[1]]
[[3,1,0,0],[2,1,0],[2,0],[2]]=>[[3,1,0,0],[1,1,0],[1,0],[0]]
[[3,1,0,0],[2,1,0],[2,1],[1]]=>[[3,1,0,0],[2,1,0],[2,0],[2]]
[[3,1,0,0],[2,1,0],[2,1],[2]]=>[[3,1,0,0],[1,1,0],[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],[3,0,0],[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],[3,0,0],[2,0],[1]]
[[3,1,0,0],[3,0,0],[2,0],[2]]=>[[3,1,0,0],[2,0,0],[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],[3,0,0],[2,0],[2]]
[[3,1,0,0],[3,0,0],[3,0],[2]]=>[[3,1,0,0],[2,0,0],[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],[2,1,0],[2,1],[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],[3,0,0],[3,0],[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],[2,1,0],[2,1],[2]]
[[3,1,0,0],[3,1,0],[2,1],[2]]=>[[3,1,0,0],[1,1,0],[1,1],[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],[3,0,0],[3,0],[2]]
[[3,1,0,0],[3,1,0],[3,0],[2]]=>[[3,1,0,0],[2,0,0],[2,0],[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],[1,1],[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],[2,0],[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],[1,1,1],[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],[1,1],[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],[2,1,0],[2,0],[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],[3,1,0],[1,0],[0]]
[[4,1,0,0],[1,1,0],[1,1],[1]]=>[[4,1,0,0],[3,1,0],[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],[4,0,0],[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],[4,0,0],[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],[3,1,0],[2,0],[0]]
[[4,1,0,0],[2,1,0],[1,1],[1]]=>[[4,1,0,0],[3,1,0],[1,1],[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],[2,0],[1]]
[[4,1,0,0],[2,1,0],[2,0],[2]]=>[[4,1,0,0],[2,1,0],[1,0],[0]]
[[4,1,0,0],[2,1,0],[2,1],[1]]=>[[4,1,0,0],[3,1,0],[2,0],[2]]
[[4,1,0,0],[2,1,0],[2,1],[2]]=>[[4,1,0,0],[2,1,0],[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],[4,0,0],[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],[4,0,0],[2,0],[1]]
[[4,1,0,0],[3,0,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[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],[4,0,0],[2,0],[2]]
[[4,1,0,0],[3,0,0],[3,0],[2]]=>[[4,1,0,0],[3,0,0],[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],[3,1,0],[3,0],[0]]
[[4,1,0,0],[3,1,0],[1,1],[1]]=>[[4,1,0,0],[3,1,0],[2,1],[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],[3,0],[1]]
[[4,1,0,0],[3,1,0],[2,0],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[0]]
[[4,1,0,0],[3,1,0],[2,1],[1]]=>[[4,1,0,0],[3,1,0],[2,1],[2]]
[[4,1,0,0],[3,1,0],[2,1],[2]]=>[[4,1,0,0],[2,1,0],[1,1],[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],[3,0],[2]]
[[4,1,0,0],[3,1,0],[3,0],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[1]]
[[4,1,0,0],[3,1,0],[3,0],[3]]=>[[4,1,0,0],[1,1,0],[1,0],[0]]
[[4,1,0,0],[3,1,0],[3,1],[1]]=>[[4,1,0,0],[3,1,0],[3,0],[3]]
[[4,1,0,0],[3,1,0],[3,1],[2]]=>[[4,1,0,0],[2,1,0],[2,0],[2]]
[[4,1,0,0],[3,1,0],[3,1],[3]]=>[[4,1,0,0],[1,1,0],[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],[4,0,0],[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],[4,0,0],[3,0],[1]]
[[4,1,0,0],[4,0,0],[2,0],[2]]=>[[4,1,0,0],[3,0,0],[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],[4,0,0],[3,0],[2]]
[[4,1,0,0],[4,0,0],[3,0],[2]]=>[[4,1,0,0],[3,0,0],[2,0],[1]]
[[4,1,0,0],[4,0,0],[3,0],[3]]=>[[4,1,0,0],[2,0,0],[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],[4,0,0],[3,0],[3]]
[[4,1,0,0],[4,0,0],[4,0],[2]]=>[[4,1,0,0],[3,0,0],[2,0],[2]]
[[4,1,0,0],[4,0,0],[4,0],[3]]=>[[4,1,0,0],[2,0,0],[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],[3,1,0],[3,1],[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],[4,0,0],[4,0],[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],[3,1,0],[3,1],[2]]
[[4,1,0,0],[4,1,0],[2,1],[2]]=>[[4,1,0,0],[2,1,0],[2,1],[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],[4,0,0],[4,0],[2]]
[[4,1,0,0],[4,1,0],[3,0],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[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],[3,1,0],[3,1],[3]]
[[4,1,0,0],[4,1,0],[3,1],[2]]=>[[4,1,0,0],[2,1,0],[2,1],[2]]
[[4,1,0,0],[4,1,0],[3,1],[3]]=>[[4,1,0,0],[1,1,0],[1,1],[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],[4,0,0],[4,0],[3]]
[[4,1,0,0],[4,1,0],[4,0],[2]]=>[[4,1,0,0],[3,0,0],[3,0],[2]]
[[4,1,0,0],[4,1,0],[4,0],[3]]=>[[4,1,0,0],[2,0,0],[2,0],[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],[2,2,0],[2,0],[0]]
[[3,2,0,0],[2,1,0],[1,1],[1]]=>[[3,2,0,0],[3,1,0],[1,1],[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],[2,2,0],[2,0],[1]]
[[3,2,0,0],[2,1,0],[2,0],[2]]=>[[3,2,0,0],[2,1,0],[1,0],[0]]
[[3,2,0,0],[2,1,0],[2,1],[1]]=>[[3,2,0,0],[2,2,0],[2,0],[2]]
[[3,2,0,0],[2,1,0],[2,1],[2]]=>[[3,2,0,0],[2,1,0],[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],[2,2,0],[2,1],[1]]
[[3,2,0,0],[2,2,0],[2,0],[2]]=>[[3,2,0,0],[2,1,0],[2,0],[0]]
[[3,2,0,0],[2,2,0],[2,1],[1]]=>[[3,2,0,0],[2,2,0],[2,1],[2]]
[[3,2,0,0],[2,2,0],[2,1],[2]]=>[[3,2,0,0],[2,1,0],[2,0],[1]]
[[3,2,0,0],[2,2,0],[2,2],[2]]=>[[3,2,0,0],[2,1,0],[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],[3,1,0],[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],[3,1,0],[2,0],[1]]
[[3,2,0,0],[3,0,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[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],[3,1,0],[2,0],[2]]
[[3,2,0,0],[3,0,0],[3,0],[2]]=>[[3,2,0,0],[3,0,0],[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],[2,1],[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],[3,1,0],[3,0],[1]]
[[3,2,0,0],[3,1,0],[2,0],[2]]=>[[3,2,0,0],[3,0,0],[2,0],[0]]
[[3,2,0,0],[3,1,0],[2,1],[1]]=>[[3,2,0,0],[3,1,0],[2,1],[2]]
[[3,2,0,0],[3,1,0],[2,1],[2]]=>[[3,2,0,0],[2,1,0],[1,1],[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],[3,1,0],[3,0],[2]]
[[3,2,0,0],[3,1,0],[3,0],[2]]=>[[3,2,0,0],[3,0,0],[2,0],[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],[3,0,0],[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],[2,2,0],[2,2],[2]]
[[3,2,0,0],[3,2,0],[2,1],[2]]=>[[3,2,0,0],[2,1,0],[2,1],[1]]
[[3,2,0,0],[3,2,0],[2,2],[2]]=>[[3,2,0,0],[2,1,0],[2,1],[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],[3,1,0],[3,1],[2]]
[[3,2,0,0],[3,2,0],[3,0],[2]]=>[[3,2,0,0],[3,0,0],[3,0],[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],[3,0,0],[3,0],[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],[2,1,1],[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],[1,1],[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],[3,1,0],[2,0],[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],[2,1,1],[2,1],[1]]
[[3,1,1,0],[2,1,1],[2,1],[1]]=>[[3,1,1,0],[2,1,1],[2,1],[2]]
[[3,1,1,0],[2,1,1],[2,1],[2]]=>[[3,1,1,0],[1,1,1],[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],[2,1],[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],[3,1,0],[3,0],[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],[2,1],[2]]
[[3,1,1,0],[3,1,0],[2,1],[2]]=>[[3,1,1,0],[2,1,0],[1,1],[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],[3,1,0],[3,0],[2]]
[[3,1,1,0],[3,1,0],[3,0],[2]]=>[[3,1,1,0],[2,1,0],[2,0],[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],[2,1,1],[1,1],[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],[2,2,0],[2,0],[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],[2,1,1],[2,1],[1]]
[[2,2,1,0],[2,1,1],[2,1],[1]]=>[[2,2,1,0],[2,1,1],[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],[2,2,0],[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],[2,2,0],[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],[4,2,1],[4,2],[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],[4,2,1],[4,1],[3]]
[[4,3,2,1],[4,3,1],[3,2],[3]]=>[[4,3,2,1],[3,3,1],[3,2],[2]]
[[4,3,2,1],[4,3,1],[4,2],[2]]=>[[4,3,2,1],[4,3,1],[4,2],[4]]
[[4,3,2,1],[4,3,1],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[3,3],[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],[4,2,1],[3,1],[3]]
[[4,3,2,1],[4,2,1],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[2,2],[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],[4,2,2],[3,2],[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],[4,2,1],[4,1],[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],[4,3,1],[4,2],[3]]
[[4,3,2,1],[4,3,1],[3,1],[2]]=>[[4,3,2,1],[4,3,1],[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],[4,2,1],[3,1],[2]]
[[4,3,2,1],[4,2,1],[3,1],[3]]=>[[4,3,2,1],[4,2,1],[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],[4,3,1],[4,1],[3]]
[[4,3,2,1],[4,2,1],[3,1],[2]]=>[[4,3,2,1],[4,3,1],[4,1],[2]]
[[4,3,2,1],[3,2,1],[3,1],[2]]=>[[4,3,2,1],[4,3,1],[3,1],[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],[4,2,2],[2,2],[2]]
[[4,3,2,1],[3,2,2],[2,2],[2]]=>[[4,3,2,1],[3,3,2],[3,2],[2]]
[[4,3,2,1],[4,2,2],[2,2],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[2]]
[[4,3,2,1],[4,2,2],[3,2],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[3]]
[[4,3,2,1],[3,3,1],[3,1],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[1]]
[[4,3,2,1],[3,3,1],[3,2],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[2]]
[[4,3,2,1],[3,2,2],[3,2],[2]]=>[[4,3,2,1],[3,3,2],[3,2],[3]]
[[4,3,2,1],[3,3,2],[3,2],[2]]=>[[4,3,2,1],[3,3,2],[3,3],[3]]
[[4,3,2,1],[4,2,2],[4,2],[2]]=>[[4,3,2,1],[4,2,2],[4,2],[4]]
[[4,3,2,1],[3,2,2],[3,2],[3]]=>[[4,3,2,1],[3,2,2],[2,2],[2]]
[[4,3,2,1],[3,3,1],[3,3],[3]]=>[[4,3,2,1],[3,3,1],[3,1],[3]]
[[4,3,2,1],[3,3,2],[3,2],[3]]=>[[4,3,2,1],[3,2,2],[3,2],[2]]
[[4,3,2,1],[3,3,2],[3,3],[3]]=>[[4,3,2,1],[3,2,2],[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],[3,3,1],[3,3],[3]]
[[4,3,2,1],[4,2,1],[2,2],[2]]=>[[4,3,2,1],[4,2,2],[3,2],[2]]
[[4,3,2,1],[4,3,1],[3,3],[3]]=>[[4,3,2,1],[3,3,1],[3,2],[3]]
[[7,2,1,0],[7,2,0],[7,0],[4]]=>[[7,2,1,0],[5,1,0],[5,0],[3]]
[[7,2,1,0],[7,2,0],[7,0],[3]]=>[[7,2,1,0],[6,1,0],[6,0],[4]]
[[7,2,1,0],[7,2,0],[6,0],[4]]=>[[7,2,1,0],[5,1,0],[5,0],[2]]
[[7,2,1,0],[7,2,0],[6,0],[3]]=>[[7,2,1,0],[6,1,0],[6,0],[3]]
[[7,2,1,0],[7,2,0],[5,0],[3]]=>[[7,2,1,0],[6,1,0],[6,0],[2]]
[[7,2,1,0],[7,2,0],[6,0],[2]]=>[[7,2,1,0],[7,1,0],[7,0],[4]]
[[7,2,1,0],[7,2,0],[5,0],[2]]=>[[7,2,1,0],[7,1,0],[7,0],[3]]
[[7,2,1,0],[7,1,0],[7,0],[4]]=>[[7,2,1,0],[5,1,0],[4,0],[3]]
[[7,2,1,0],[7,1,0],[7,0],[3]]=>[[7,2,1,0],[6,1,0],[5,0],[4]]
[[7,2,1,0],[7,1,0],[6,0],[4]]=>[[7,2,1,0],[5,1,0],[4,0],[2]]
[[7,2,1,0],[7,1,0],[6,0],[3]]=>[[7,2,1,0],[6,1,0],[5,0],[3]]
[[6,3,1,0],[6,2,0],[5,0],[3]]=>[[6,3,1,0],[6,1,0],[5,0],[2]]
[[7,2,1,0],[7,1,0],[6,0],[2]]=>[[7,2,1,0],[7,1,0],[6,0],[4]]
[[6,3,1,0],[6,2,0],[5,0],[2]]=>[[6,3,1,0],[6,2,0],[6,0],[3]]
[[7,2,1,0],[6,1,0],[6,0],[4]]=>[[7,2,1,0],[5,1,0],[3,0],[2]]
[[7,2,1,0],[6,1,0],[6,0],[3]]=>[[7,2,1,0],[6,1,0],[4,0],[3]]
[[7,2,1,0],[5,2,0],[5,0],[3]]=>[[7,2,1,0],[5,2,0],[4,0],[2]]
[[7,2,1,0],[5,1,0],[5,0],[3]]=>[[7,2,1,0],[6,1,0],[3,0],[2]]
[[7,2,1,0],[6,1,0],[6,0],[2]]=>[[7,2,1,0],[7,1,0],[5,0],[4]]
[[7,2,1,0],[5,2,0],[5,0],[2]]=>[[7,2,1,0],[6,2,0],[5,0],[3]]
[[7,2,1,0],[5,1,0],[5,0],[2]]=>[[7,2,1,0],[7,1,0],[4,0],[3]]
[[7,2,1,0],[7,1,0],[5,0],[4]]=>[[7,2,1,0],[5,1,0],[4,0],[1]]
[[7,2,1,0],[7,1,0],[5,0],[3]]=>[[7,2,1,0],[6,1,0],[5,0],[2]]
[[7,2,1,0],[7,1,0],[4,0],[3]]=>[[7,2,1,0],[6,1,0],[5,0],[1]]
[[7,2,1,0],[7,1,0],[5,0],[2]]=>[[7,2,1,0],[7,1,0],[6,0],[3]]
[[7,2,1,0],[7,1,0],[4,0],[2]]=>[[7,2,1,0],[7,1,0],[6,0],[2]]
[[7,2,1,0],[6,1,0],[5,0],[4]]=>[[7,2,1,0],[5,1,0],[3,0],[1]]
[[7,2,1,0],[6,1,0],[5,0],[3]]=>[[7,2,1,0],[6,1,0],[4,0],[2]]
[[7,2,1,0],[6,1,0],[4,0],[3]]=>[[7,2,1,0],[6,1,0],[4,0],[1]]
[[7,2,1,0],[5,1,0],[4,0],[3]]=>[[7,2,1,0],[6,1,0],[3,0],[1]]
[[7,2,1,0],[6,1,0],[5,0],[2]]=>[[7,2,1,0],[7,1,0],[5,0],[3]]
[[7,2,1,0],[6,1,0],[4,0],[2]]=>[[7,2,1,0],[7,1,0],[5,0],[2]]
[[7,2,1,0],[5,1,0],[4,0],[2]]=>[[7,2,1,0],[7,1,0],[4,0],[2]]
[[7,2,1,0],[6,1,0],[3,0],[2]]=>[[7,2,1,0],[7,1,0],[5,0],[1]]
[[7,2,1,0],[5,1,0],[3,0],[2]]=>[[7,2,1,0],[7,1,0],[4,0],[1]]
[[7,2,1,0],[7,1,0],[5,0],[1]]=>[[7,2,1,0],[7,2,0],[7,0],[4]]
[[7,2,1,0],[7,1,0],[4,0],[1]]=>[[7,2,1,0],[7,2,0],[7,0],[3]]
[[7,2,1,0],[6,1,0],[5,0],[1]]=>[[7,2,1,0],[7,2,0],[6,0],[4]]
[[7,2,1,0],[6,1,0],[4,0],[1]]=>[[7,2,1,0],[7,2,0],[6,0],[3]]
[[7,2,1,0],[5,1,0],[4,0],[1]]=>[[7,2,1,0],[7,2,0],[5,0],[3]]
[[7,2,1,0],[6,1,0],[3,0],[1]]=>[[7,2,1,0],[7,2,0],[6,0],[2]]
[[7,2,1,0],[5,1,0],[3,0],[1]]=>[[7,2,1,0],[7,2,0],[5,0],[2]]
[[4,3,2,1],[4,2,2],[4,2],[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],[4,3,1],[3,2],[2]]
[[4,3,2,1],[3,3,1],[3,2],[2]]=>[[4,3,2,1],[4,3,1],[3,2],[3]]
[[4,3,2,1],[4,2,2],[3,2],[3]]=>[[4,3,2,1],[4,2,1],[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]]
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[[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]]
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[[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]]
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[[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]]
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[[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]]
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[[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],[2,0,0,0],[2,0,0],[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]]
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[[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]]
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[[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],[2,0,0,0],[2,0,0],[2,0],[1]]
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[[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>[[3,1,0,0,0],[3,0,0,0],[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],[3,0,0,0],[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],[2,0,0,0],[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]]
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[[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>[[3,1,0,0,0],[2,0,0,0],[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],[2,1,0,0],[2,1,0],[1,0],[0]]
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[[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],[3,0,0,0],[3,0,0],[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],[3,0,0,0],[3,0,0],[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],[2,1,0,0],[2,1,0],[2,0],[0]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[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],[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],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[2,1,0],[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],[2,1,0],[2,1],[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],[2,1,0],[2,1],[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],[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],[3,0,0,0],[3,0,0],[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],[3,0,0,0],[3,0,0],[2,0],[1]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[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],[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],[3,0,0,0],[3,0,0],[2,0],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[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],[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]]
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[[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],[3,0,0,0],[3,0,0],[3,0],[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],[2,1,0,0],[2,1,0],[2,1],[2]]
[[3,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[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],[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],[2,0,0,0],[2,0,0],[2,0],[1]]
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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],[2,1,0,0],[2,0,0],[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],[2,1,0,0],[2,0,0],[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],[1,1,0],[1,1],[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],[2,1,0,0],[2,0,0],[2,0],[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],[1,1,1,0],[1,1,1],[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],[1,1],[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],[2,1,0,0],[2,1,0],[2,0],[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],[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]]
[[3,2,0,0,0],[3,1,0,0],[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],[3,1,0,0],[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],[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],[1,1],[1]]=>[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[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],[1,1],[1]]
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[3,1,1,0,0],[3,1,0,0],[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],[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],[1,1],[1]]=>[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[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],[1,1],[1]]
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[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],[2,0],[1]]=>[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[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],[1,1],[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],[1,1,1],[1,1],[1]]=>[[2,2,1,0,0],[2,1,1,0],[1,1,1],[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],[2,1,0],[2,0],[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],[1,1],[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],[1,1,1],[1,1],[1]]
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,1,1,1,0],[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]]
[[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]]
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[[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]]
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[[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]]
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[[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]]
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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],[1,1,0,0,0],[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],[1,1,0,0,0],[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],[1,1,0,0,0],[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],[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],[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],[2,0,0,0,0],[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],[2,0,0,0,0],[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],[2,0,0,0,0],[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],[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],[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],[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],[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],[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],[1,1],[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],[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],[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],[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],[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],[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],[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],[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],[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],[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],[2,1,0,0,0],[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],[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],[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],[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],[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],[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],[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],[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],[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],[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],[2,1,0],[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],[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],[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],[4,0,0,0],[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],[5,0,0,0,0],[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],[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],[2,2,0,0],[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],[3,2,0,0,0],[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],[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],[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],[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]]
[[4,2,0,0,0,0],[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],[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],[2,1,0],[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],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[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],[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],[4,0,0,0],[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],[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],[2,1,1,0],[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],[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],[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],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[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],[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],[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]]
[[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],[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],[2,1,0],[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],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[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],[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],[4,0,0,0],[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],[2,2,0,0],[2,1,0],[1,1],[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],[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],[2,1,0],[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],[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],[3,0,0],[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],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[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],[2,2,1,0,0],[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],[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],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[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],[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],[1,1,1],[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],[3,1,1,0,0],[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],[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],[3,1,1,0,0],[2,1,1,0],[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],[3,1,1,0,0],[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],[2,1,0],[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],[3,1,1,0,0],[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],[3,0,0],[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],[3,2,0,0,0],[2,2,0,0],[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],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[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],[3,2,0,0,0],[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],[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],[3,2,0,0,0],[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],[3,0,0],[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],[2,1,1,1,0],[1,1,1,1],[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],[2,1,1,1,0],[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],[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],[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],[2,1,1,0],[2,1,0],[2,0],[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],[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],[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],[2,1,1,0],[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],[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],[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],[3,1,0,0],[2,1,0],[2,0],[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],[3,0,0],[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],[2,1,1,0],[1,1,1],[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],[2,1,1,0],[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],[2,1,1,0],[2,1,0],[2,0],[1]]
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[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],[2,2,0,0],[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]]
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[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],[2,1,1,1,0],[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],[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[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],[2,1,1,0],[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],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[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],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[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],[2,2,0,0],[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]]=>[[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]]
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[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],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[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],[6,4,3,2,1],[6,4,3,1],[6,4,3],[6,4],[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],[6,4,3,2,1],[6,4,3,2],[6,4,2],[6,4],[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],[6,4,3,2,1],[6,4,3,1],[6,4,2],[6,4],[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],[6,4,3,2,1],[6,4,2,1],[6,4,2],[6,4],[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],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,3],[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],[6,4,3,2,1],[6,4,3,1],[6,4,3],[6,3],[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],[6,4,3,2,1],[6,4,3,2],[6,4,2],[6,3],[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],[6,4,3,2,1],[6,4,3,1],[6,4,2],[6,3],[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],[6,4,3,2,1],[6,4,2,1],[6,4,2],[6,3],[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],[6,4,3,2,1],[6,4,3,2],[6,3,2],[6,3],[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],[6,4,3,2,1],[6,4,3,1],[6,3,2],[6,3],[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],[6,4,3,2,1],[6,4,2,1],[6,3,2],[6,3],[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],[6,4,3,2,1],[6,3,2,1],[6,3,2],[6,3],[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],[6,4,3,2,1],[6,4,3,2],[6,4,3],[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],[6,4,3,2,1],[6,4,3,1],[6,4,3],[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],[6,4,3,2,1],[6,4,3,2],[6,4,2],[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],[6,4,3,2,1],[6,4,3,1],[6,4,2],[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],[6,4,3,2,1],[6,4,2,1],[6,4,2],[5,3],[5]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,3],[6,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,3,2],[5,3],[5]]
[[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],[6,4,3,2,1],[6,4,3,1],[6,3,2],[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],[6,4,3,2,1],[6,4,2,1],[6,3,2],[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],[6,4,3,2,1],[6,3,2,1],[6,3,2],[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],[6,4,3,2,1],[6,4,3,2],[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],[6,4,3,2,1],[6,4,3,1],[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],[6,4,3,2,1],[6,4,2,1],[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],[6,4,3,2,1],[6,3,2,1],[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],[6,4,3,2,1],[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],[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]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,2],[6,4],[4]]
[[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]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,2],[6,4],[4]]
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[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,1],[5,4,2],[5,4],[4]]
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[[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,1],[6,4,2],[4,4],[4]]
[[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[6,4,2],[4,4],[4]]
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[[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[6,4,3,2,1],[6,4,2,1],[4,4,2],[4,4],[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],[5,4,4,2,1],[5,4,4,2],[5,4,3],[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],[5,4,4,2,1],[5,4,4,1],[5,4,3],[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],[5,4,4,2,1],[5,4,3,1],[5,4,3],[4,3],[4]]
[[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[5,4,3],[5,4],[5]]=>[[6,5,4,3,2,1],[5,5,3,2,1],[5,5,3,2],[5,3,3],[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],[5,5,3,2,1],[5,5,3,1],[5,3,3],[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],[5,4,4,2,1],[5,4,3,1],[5,3,3],[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],[5,5,3,2,1],[5,3,3,1],[5,3,3],[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],[6,4,3,2,1],[6,4,3,2],[4,3,3],[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],[6,4,3,2,1],[6,4,3,1],[4,3,3],[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],[5,4,4,2,1],[5,4,3,1],[4,3,3],[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],[5,5,3,2,1],[5,3,3,1],[4,3,3],[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],[6,4,3,2,1],[4,3,3,1],[4,3,3],[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],[5,4,3,3,1],[5,4,3,2],[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],[5,4,4,2,1],[5,4,2,2],[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],[5,5,3,2,1],[5,3,2,2],[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],[6,4,3,2,1],[4,3,2,2],[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],[6,4,3,2,1],[6,4,2,1],[6,4,1],[6,4],[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],[6,4,3,2,1],[6,4,2,1],[6,4,1],[6,3],[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],[6,4,3,2,1],[6,4,3,2],[6,3,2],[6,2],[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],[6,4,3,2,1],[6,4,3,1],[6,3,2],[6,2],[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],[6,4,3,2,1],[6,4,2,1],[6,3,1],[6,2],[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],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[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],[6,4,3,2,1],[6,4,3,2],[6,4,3],[5,3],[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],[6,4,3,2,1],[6,4,3,1],[6,4,3],[5,3],[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],[6,4,3,2,1],[6,4,3,2],[6,4,2],[5,3],[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],[6,4,3,2,1],[6,4,3,1],[6,4,2],[5,3],[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],[6,4,3,2,1],[6,4,2,1],[6,4,1],[5,3],[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],[6,4,3,2,1],[6,4,3,2],[6,3,2],[5,2],[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],[6,4,3,2,1],[6,4,3,1],[6,3,2],[5,2],[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],[6,4,3,2,1],[6,4,2,1],[6,3,1],[5,2],[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],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[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],[6,4,3,2,1],[6,4,3,2],[5,3,2],[4,2],[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],[6,4,3,2,1],[6,4,3,1],[5,3,2],[4,2],[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],[6,4,3,2,1],[6,4,2,1],[5,3,1],[4,2],[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],[6,4,3,2,1],[6,3,2,1],[5,2,1],[4,1],[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],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[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],[6,5,3,2,1],[6,5,3,2],[6,5,3],[5,5],[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],[6,5,3,2,1],[6,5,3,1],[6,5,3],[5,5],[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],[6,5,3,2,1],[6,5,3,2],[6,5,2],[5,5],[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],[6,5,3,2,1],[6,5,3,1],[6,5,2],[5,5],[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],[6,5,3,2,1],[6,5,2,1],[6,5,1],[5,5],[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],[6,5,3,2,1],[6,5,3,2],[5,5,2],[5,4],[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],[6,5,3,2,1],[6,5,3,1],[5,5,2],[5,4],[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],[6,5,3,2,1],[6,5,2,1],[5,5,1],[5,4],[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],[6,5,3,2,1],[5,5,2,1],[5,4,1],[5,3],[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],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,3],[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],[6,5,3,2,1],[6,5,3,1],[6,5,3],[6,3],[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],[6,4,4,2,1],[6,4,4,2],[6,4,3],[6,3],[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],[6,4,4,2,1],[6,4,4,1],[6,4,3],[6,3],[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],[6,4,4,2,1],[6,4,3,1],[6,4,2],[6,3],[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],[6,5,3,2,1],[6,5,3,2],[6,4,2],[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]]
[[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]]
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(only identities of compositions of up to three maps are shown)
Description
The inverse cycle action on a Gelfand-Tsetlin pattern.
Regard a Gelfand-Tsetlin pattern $p$ as an element of the $A_{m-1}$ crystal of shape $\lambda$, where $\lambda$ is the partition given by the first row of $p$ and $m$ is the width of $p$. Let $s_i(p)$ be the reflection of $p$ along its $i$-string, for $i\in\{1,\dots,m-1\}$. Then this map returns $c^{-1}(p)=s_{m-1}\dots s_2 s_1 (p)$.
The order of this action is the width of the pattern. As a map on semistandard tableaux, it preserves the shape. Moreover, the weight of $c^{-1}(p)$ is the same as the weight of the inverse promotion of $p$.
Regard a Gelfand-Tsetlin pattern $p$ as an element of the $A_{m-1}$ crystal of shape $\lambda$, where $\lambda$ is the partition given by the first row of $p$ and $m$ is the width of $p$. Let $s_i(p)$ be the reflection of $p$ along its $i$-string, for $i\in\{1,\dots,m-1\}$. Then this map returns $c^{-1}(p)=s_{m-1}\dots s_2 s_1 (p)$.
The order of this action is the width of the pattern. As a map on semistandard tableaux, it preserves the shape. Moreover, the weight of $c^{-1}(p)$ is the same as the weight of the inverse promotion of $p$.
References
[1] Oh, Y.-T., Park, E. Crystals, semistandard tableaux and cyclic sieving phenomenon MathSciNet:4039345 arXiv:1906.07420
Properties
bijective, graded
Sage code
def mapping(G): m = len(G) T = G.to_tableau() la = T.shape() C = crystals.Tableaux(CartanType("A", m-1), shape=la) x = C(rows=T) for i in range(1, m): x = x.s(i) return GelfandTsetlinPatterns(m)(x.to_tableau())
Weight
21
Created
Feb 23, 2021 at 18:56 by Martin Rubey
Updated
Feb 23, 2021 at 18:56 by Martin Rubey
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