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------------------------------------------------------------------------
Map identifier: Mp00128
------------------------------------------------------------------------
Map name: to composition
------------------------------------------------------------------------
Domain: Set partitions
------------------------------------------------------------------------
Codomain: Integer compositions
------------------------------------------------------------------------
Description: The integer composition of block sizes of a set partition.
For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(pi):
return Composition([len(b) for b in sorted([sorted(p) for p in pi])])
------------------------------------------------------------------------
Map images:
{{1}} => [1]
{{1,2}} => [2]
{{1},{2}} => [1,1]
{{1,2,3}} => [3]
{{1,2},{3}} => [2,1]
{{1,3},{2}} => [2,1]
{{1},{2,3}} => [1,2]
{{1},{2},{3}} => [1,1,1]
{{1,2,3,4}} => [4]
{{1,2,3},{4}} => [3,1]
{{1,2,4},{3}} => [3,1]
{{1,2},{3,4}} => [2,2]
{{1,2},{3},{4}} => [2,1,1]
{{1,3,4},{2}} => [3,1]
{{1,3},{2,4}} => [2,2]
{{1,3},{2},{4}} => [2,1,1]
{{1,4},{2,3}} => [2,2]
{{1},{2,3,4}} => [1,3]
{{1},{2,3},{4}} => [1,2,1]
{{1,4},{2},{3}} => [2,1,1]
{{1},{2,4},{3}} => [1,2,1]
{{1},{2},{3,4}} => [1,1,2]
{{1},{2},{3},{4}} => [1,1,1,1]
{{1,2,3,4,5}} => [5]
{{1,2,3,4},{5}} => [4,1]
{{1,2,3,5},{4}} => [4,1]
{{1,2,3},{4,5}} => [3,2]
{{1,2,3},{4},{5}} => [3,1,1]
{{1,2,4,5},{3}} => [4,1]
{{1,2,4},{3,5}} => [3,2]
{{1,2,4},{3},{5}} => [3,1,1]
{{1,2,5},{3,4}} => [3,2]
{{1,2},{3,4,5}} => [2,3]
{{1,2},{3,4},{5}} => [2,2,1]
{{1,2,5},{3},{4}} => [3,1,1]
{{1,2},{3,5},{4}} => [2,2,1]
{{1,2},{3},{4,5}} => [2,1,2]
{{1,2},{3},{4},{5}} => [2,1,1,1]
{{1,3,4,5},{2}} => [4,1]
{{1,3,4},{2,5}} => [3,2]
{{1,3,4},{2},{5}} => [3,1,1]
{{1,3,5},{2,4}} => [3,2]
{{1,3},{2,4,5}} => [2,3]
{{1,3},{2,4},{5}} => [2,2,1]
{{1,3,5},{2},{4}} => [3,1,1]
{{1,3},{2,5},{4}} => [2,2,1]
{{1,3},{2},{4,5}} => [2,1,2]
{{1,3},{2},{4},{5}} => [2,1,1,1]
{{1,4,5},{2,3}} => [3,2]
{{1,4},{2,3,5}} => [2,3]
{{1,4},{2,3},{5}} => [2,2,1]
{{1,5},{2,3,4}} => [2,3]
{{1},{2,3,4,5}} => [1,4]
{{1},{2,3,4},{5}} => [1,3,1]
{{1,5},{2,3},{4}} => [2,2,1]
{{1},{2,3,5},{4}} => [1,3,1]
{{1},{2,3},{4,5}} => [1,2,2]
{{1},{2,3},{4},{5}} => [1,2,1,1]
{{1,4,5},{2},{3}} => [3,1,1]
{{1,4},{2,5},{3}} => [2,2,1]
{{1,4},{2},{3,5}} => [2,1,2]
{{1,4},{2},{3},{5}} => [2,1,1,1]
{{1,5},{2,4},{3}} => [2,2,1]
{{1},{2,4,5},{3}} => [1,3,1]
{{1},{2,4},{3,5}} => [1,2,2]
{{1},{2,4},{3},{5}} => [1,2,1,1]
{{1,5},{2},{3,4}} => [2,1,2]
{{1},{2,5},{3,4}} => [1,2,2]
{{1},{2},{3,4,5}} => [1,1,3]
{{1},{2},{3,4},{5}} => [1,1,2,1]
{{1,5},{2},{3},{4}} => [2,1,1,1]
{{1},{2,5},{3},{4}} => [1,2,1,1]
{{1},{2},{3,5},{4}} => [1,1,2,1]
{{1},{2},{3},{4,5}} => [1,1,1,2]
{{1},{2},{3},{4},{5}} => [1,1,1,1,1]
{{1,2,3,4,5,6}} => [6]
{{1,2,3,4,5},{6}} => [5,1]
{{1,2,3,4,6},{5}} => [5,1]
{{1,2,3,4},{5,6}} => [4,2]
{{1,2,3,4},{5},{6}} => [4,1,1]
{{1,2,3,5,6},{4}} => [5,1]
{{1,2,3,5},{4,6}} => [4,2]
{{1,2,3,5},{4},{6}} => [4,1,1]
{{1,2,3,6},{4,5}} => [4,2]
{{1,2,3},{4,5,6}} => [3,3]
{{1,2,3},{4,5},{6}} => [3,2,1]
{{1,2,3,6},{4},{5}} => [4,1,1]
{{1,2,3},{4,6},{5}} => [3,2,1]
{{1,2,3},{4},{5,6}} => [3,1,2]
{{1,2,3},{4},{5},{6}} => [3,1,1,1]
{{1,2,4,5,6},{3}} => [5,1]
{{1,2,4,5},{3,6}} => [4,2]
{{1,2,4,5},{3},{6}} => [4,1,1]
{{1,2,4,6},{3,5}} => [4,2]
{{1,2,4},{3,5,6}} => [3,3]
{{1,2,4},{3,5},{6}} => [3,2,1]
{{1,2,4,6},{3},{5}} => [4,1,1]
{{1,2,4},{3,6},{5}} => [3,2,1]
{{1,2,4},{3},{5,6}} => [3,1,2]
{{1,2,4},{3},{5},{6}} => [3,1,1,1]
{{1,2,5,6},{3,4}} => [4,2]
{{1,2,5},{3,4,6}} => [3,3]
{{1,2,5},{3,4},{6}} => [3,2,1]
{{1,2,6},{3,4,5}} => [3,3]
{{1,2},{3,4,5,6}} => [2,4]
{{1,2},{3,4,5},{6}} => [2,3,1]
{{1,2,6},{3,4},{5}} => [3,2,1]
{{1,2},{3,4,6},{5}} => [2,3,1]
{{1,2},{3,4},{5,6}} => [2,2,2]
{{1,2},{3,4},{5},{6}} => [2,2,1,1]
{{1,2,5,6},{3},{4}} => [4,1,1]
{{1,2,5},{3,6},{4}} => [3,2,1]
{{1,2,5},{3},{4,6}} => [3,1,2]
{{1,2,5},{3},{4},{6}} => [3,1,1,1]
{{1,2,6},{3,5},{4}} => [3,2,1]
{{1,2},{3,5,6},{4}} => [2,3,1]
{{1,2},{3,5},{4,6}} => [2,2,2]
{{1,2},{3,5},{4},{6}} => [2,2,1,1]
{{1,2,6},{3},{4,5}} => [3,1,2]
{{1,2},{3,6},{4,5}} => [2,2,2]
{{1,2},{3},{4,5,6}} => [2,1,3]
{{1,2},{3},{4,5},{6}} => [2,1,2,1]
{{1,2,6},{3},{4},{5}} => [3,1,1,1]
{{1,2},{3,6},{4},{5}} => [2,2,1,1]
{{1,2},{3},{4,6},{5}} => [2,1,2,1]
{{1,2},{3},{4},{5,6}} => [2,1,1,2]
{{1,2},{3},{4},{5},{6}} => [2,1,1,1,1]
{{1,3,4,5,6},{2}} => [5,1]
{{1,3,4,5},{2,6}} => [4,2]
{{1,3,4,5},{2},{6}} => [4,1,1]
{{1,3,4,6},{2,5}} => [4,2]
{{1,3,4},{2,5,6}} => [3,3]
{{1,3,4},{2,5},{6}} => [3,2,1]
{{1,3,4,6},{2},{5}} => [4,1,1]
{{1,3,4},{2,6},{5}} => [3,2,1]
{{1,3,4},{2},{5,6}} => [3,1,2]
{{1,3,4},{2},{5},{6}} => [3,1,1,1]
{{1,3,5,6},{2,4}} => [4,2]
{{1,3,5},{2,4,6}} => [3,3]
{{1,3,5},{2,4},{6}} => [3,2,1]
{{1,3,6},{2,4,5}} => [3,3]
{{1,3},{2,4,5,6}} => [2,4]
{{1,3},{2,4,5},{6}} => [2,3,1]
{{1,3,6},{2,4},{5}} => [3,2,1]
{{1,3},{2,4,6},{5}} => [2,3,1]
{{1,3},{2,4},{5,6}} => [2,2,2]
{{1,3},{2,4},{5},{6}} => [2,2,1,1]
{{1,3,5,6},{2},{4}} => [4,1,1]
{{1,3,5},{2,6},{4}} => [3,2,1]
{{1,3,5},{2},{4,6}} => [3,1,2]
{{1,3,5},{2},{4},{6}} => [3,1,1,1]
{{1,3,6},{2,5},{4}} => [3,2,1]
{{1,3},{2,5,6},{4}} => [2,3,1]
{{1,3},{2,5},{4,6}} => [2,2,2]
{{1,3},{2,5},{4},{6}} => [2,2,1,1]
{{1,3,6},{2},{4,5}} => [3,1,2]
{{1,3},{2,6},{4,5}} => [2,2,2]
{{1,3},{2},{4,5,6}} => [2,1,3]
{{1,3},{2},{4,5},{6}} => [2,1,2,1]
{{1,3,6},{2},{4},{5}} => [3,1,1,1]
{{1,3},{2,6},{4},{5}} => [2,2,1,1]
{{1,3},{2},{4,6},{5}} => [2,1,2,1]
{{1,3},{2},{4},{5,6}} => [2,1,1,2]
{{1,3},{2},{4},{5},{6}} => [2,1,1,1,1]
{{1,4,5,6},{2,3}} => [4,2]
{{1,4,5},{2,3,6}} => [3,3]
{{1,4,5},{2,3},{6}} => [3,2,1]
{{1,4,6},{2,3,5}} => [3,3]
{{1,4},{2,3,5,6}} => [2,4]
{{1,4},{2,3,5},{6}} => [2,3,1]
{{1,4,6},{2,3},{5}} => [3,2,1]
{{1,4},{2,3,6},{5}} => [2,3,1]
{{1,4},{2,3},{5,6}} => [2,2,2]
{{1,4},{2,3},{5},{6}} => [2,2,1,1]
{{1,5,6},{2,3,4}} => [3,3]
{{1,5},{2,3,4,6}} => [2,4]
{{1,5},{2,3,4},{6}} => [2,3,1]
{{1,6},{2,3,4,5}} => [2,4]
{{1},{2,3,4,5,6}} => [1,5]
{{1},{2,3,4,5},{6}} => [1,4,1]
{{1,6},{2,3,4},{5}} => [2,3,1]
{{1},{2,3,4,6},{5}} => [1,4,1]
{{1},{2,3,4},{5,6}} => [1,3,2]
{{1},{2,3,4},{5},{6}} => [1,3,1,1]
{{1,5,6},{2,3},{4}} => [3,2,1]
{{1,5},{2,3,6},{4}} => [2,3,1]
{{1,5},{2,3},{4,6}} => [2,2,2]
{{1,5},{2,3},{4},{6}} => [2,2,1,1]
{{1,6},{2,3,5},{4}} => [2,3,1]
{{1},{2,3,5,6},{4}} => [1,4,1]
{{1},{2,3,5},{4,6}} => [1,3,2]
{{1},{2,3,5},{4},{6}} => [1,3,1,1]
{{1,6},{2,3},{4,5}} => [2,2,2]
{{1},{2,3,6},{4,5}} => [1,3,2]
{{1},{2,3},{4,5,6}} => [1,2,3]
{{1},{2,3},{4,5},{6}} => [1,2,2,1]
{{1,6},{2,3},{4},{5}} => [2,2,1,1]
{{1},{2,3,6},{4},{5}} => [1,3,1,1]
{{1},{2,3},{4,6},{5}} => [1,2,2,1]
{{1},{2,3},{4},{5,6}} => [1,2,1,2]
{{1},{2,3},{4},{5},{6}} => [1,2,1,1,1]
{{1,4,5,6},{2},{3}} => [4,1,1]
{{1,4,5},{2,6},{3}} => [3,2,1]
{{1,4,5},{2},{3,6}} => [3,1,2]
{{1,4,5},{2},{3},{6}} => [3,1,1,1]
{{1,4,6},{2,5},{3}} => [3,2,1]
{{1,4},{2,5,6},{3}} => [2,3,1]
{{1,4},{2,5},{3,6}} => [2,2,2]
{{1,4},{2,5},{3},{6}} => [2,2,1,1]
{{1,4,6},{2},{3,5}} => [3,1,2]
{{1,4},{2,6},{3,5}} => [2,2,2]
{{1,4},{2},{3,5,6}} => [2,1,3]
{{1,4},{2},{3,5},{6}} => [2,1,2,1]
{{1,4,6},{2},{3},{5}} => [3,1,1,1]
{{1,4},{2,6},{3},{5}} => [2,2,1,1]
{{1,4},{2},{3,6},{5}} => [2,1,2,1]
{{1,4},{2},{3},{5,6}} => [2,1,1,2]
{{1,4},{2},{3},{5},{6}} => [2,1,1,1,1]
{{1,5,6},{2,4},{3}} => [3,2,1]
{{1,5},{2,4,6},{3}} => [2,3,1]
{{1,5},{2,4},{3,6}} => [2,2,2]
{{1,5},{2,4},{3},{6}} => [2,2,1,1]
{{1,6},{2,4,5},{3}} => [2,3,1]
{{1},{2,4,5,6},{3}} => [1,4,1]
{{1},{2,4,5},{3,6}} => [1,3,2]
{{1},{2,4,5},{3},{6}} => [1,3,1,1]
{{1,6},{2,4},{3,5}} => [2,2,2]
{{1},{2,4,6},{3,5}} => [1,3,2]
{{1},{2,4},{3,5,6}} => [1,2,3]
{{1},{2,4},{3,5},{6}} => [1,2,2,1]
{{1,6},{2,4},{3},{5}} => [2,2,1,1]
{{1},{2,4,6},{3},{5}} => [1,3,1,1]
{{1},{2,4},{3,6},{5}} => [1,2,2,1]
{{1},{2,4},{3},{5,6}} => [1,2,1,2]
{{1},{2,4},{3},{5},{6}} => [1,2,1,1,1]
{{1,5,6},{2},{3,4}} => [3,1,2]
{{1,5},{2,6},{3,4}} => [2,2,2]
{{1,5},{2},{3,4,6}} => [2,1,3]
{{1,5},{2},{3,4},{6}} => [2,1,2,1]
{{1,6},{2,5},{3,4}} => [2,2,2]
{{1},{2,5,6},{3,4}} => [1,3,2]
{{1},{2,5},{3,4,6}} => [1,2,3]
{{1},{2,5},{3,4},{6}} => [1,2,2,1]
{{1,6},{2},{3,4,5}} => [2,1,3]
{{1},{2,6},{3,4,5}} => [1,2,3]
{{1},{2},{3,4,5,6}} => [1,1,4]
{{1},{2},{3,4,5},{6}} => [1,1,3,1]
{{1,6},{2},{3,4},{5}} => [2,1,2,1]
{{1},{2,6},{3,4},{5}} => [1,2,2,1]
{{1},{2},{3,4,6},{5}} => [1,1,3,1]
{{1},{2},{3,4},{5,6}} => [1,1,2,2]
{{1},{2},{3,4},{5},{6}} => [1,1,2,1,1]
{{1,5,6},{2},{3},{4}} => [3,1,1,1]
{{1,5},{2,6},{3},{4}} => [2,2,1,1]
{{1,5},{2},{3,6},{4}} => [2,1,2,1]
{{1,5},{2},{3},{4,6}} => [2,1,1,2]
{{1,5},{2},{3},{4},{6}} => [2,1,1,1,1]
{{1,6},{2,5},{3},{4}} => [2,2,1,1]
{{1},{2,5,6},{3},{4}} => [1,3,1,1]
{{1},{2,5},{3,6},{4}} => [1,2,2,1]
{{1},{2,5},{3},{4,6}} => [1,2,1,2]
{{1},{2,5},{3},{4},{6}} => [1,2,1,1,1]
{{1,6},{2},{3,5},{4}} => [2,1,2,1]
{{1},{2,6},{3,5},{4}} => [1,2,2,1]
{{1},{2},{3,5,6},{4}} => [1,1,3,1]
{{1},{2},{3,5},{4,6}} => [1,1,2,2]
{{1},{2},{3,5},{4},{6}} => [1,1,2,1,1]
{{1,6},{2},{3},{4,5}} => [2,1,1,2]
{{1},{2,6},{3},{4,5}} => [1,2,1,2]
{{1},{2},{3,6},{4,5}} => [1,1,2,2]
{{1},{2},{3},{4,5,6}} => [1,1,1,3]
{{1},{2},{3},{4,5},{6}} => [1,1,1,2,1]
{{1,6},{2},{3},{4},{5}} => [2,1,1,1,1]
{{1},{2,6},{3},{4},{5}} => [1,2,1,1,1]
{{1},{2},{3,6},{4},{5}} => [1,1,2,1,1]
{{1},{2},{3},{4,6},{5}} => [1,1,1,2,1]
{{1},{2},{3},{4},{5,6}} => [1,1,1,1,2]
{{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1]
{{1,2,3,4,5,6,7}} => [7]
{{1,2,3,4,5,6},{7}} => [6,1]
{{1,2,3,4,5,7},{6}} => [6,1]
{{1,2,3,4,5},{6,7}} => [5,2]
{{1,2,3,4,5},{6},{7}} => [5,1,1]
{{1,2,3,4,6,7},{5}} => [6,1]
{{1,2,3,4,6},{5,7}} => [5,2]
{{1,2,3,4,6},{5},{7}} => [5,1,1]
{{1,2,3,4,7},{5,6}} => [5,2]
{{1,2,3,4},{5,6,7}} => [4,3]
{{1,2,3,4},{5,6},{7}} => [4,2,1]
{{1,2,3,4,7},{5},{6}} => [5,1,1]
{{1,2,3,4},{5,7},{6}} => [4,2,1]
{{1,2,3,4},{5},{6,7}} => [4,1,2]
{{1,2,3,4},{5},{6},{7}} => [4,1,1,1]
{{1,2,3,5,6,7},{4}} => [6,1]
{{1,2,3,5,6},{4,7}} => [5,2]
{{1,2,3,5,6},{4},{7}} => [5,1,1]
{{1,2,3,5,7},{4,6}} => [5,2]
{{1,2,3,5},{4,6,7}} => [4,3]
{{1,2,3,5},{4,6},{7}} => [4,2,1]
{{1,2,3,5,7},{4},{6}} => [5,1,1]
{{1,2,3,5},{4,7},{6}} => [4,2,1]
{{1,2,3,5},{4},{6,7}} => [4,1,2]
{{1,2,3,5},{4},{6},{7}} => [4,1,1,1]
{{1,2,3,6,7},{4,5}} => [5,2]
{{1,2,3,6},{4,5,7}} => [4,3]
{{1,2,3,6},{4,5},{7}} => [4,2,1]
{{1,2,3,7},{4,5,6}} => [4,3]
{{1,2,3},{4,5,6,7}} => [3,4]
{{1,2,3},{4,5,6},{7}} => [3,3,1]
{{1,2,3,7},{4,5},{6}} => [4,2,1]
{{1,2,3},{4,5,7},{6}} => [3,3,1]
{{1,2,3},{4,5},{6,7}} => [3,2,2]
{{1,2,3},{4,5},{6},{7}} => [3,2,1,1]
{{1,2,3,6,7},{4},{5}} => [5,1,1]
{{1,2,3,6},{4,7},{5}} => [4,2,1]
{{1,2,3,6},{4},{5,7}} => [4,1,2]
{{1,2,3,6},{4},{5},{7}} => [4,1,1,1]
{{1,2,3,7},{4,6},{5}} => [4,2,1]
{{1,2,3},{4,6,7},{5}} => [3,3,1]
{{1,2,3},{4,6},{5,7}} => [3,2,2]
{{1,2,3},{4,6},{5},{7}} => [3,2,1,1]
{{1,2,3,7},{4},{5,6}} => [4,1,2]
{{1,2,3},{4,7},{5,6}} => [3,2,2]
{{1,2,3},{4},{5,6,7}} => [3,1,3]
{{1,2,3},{4},{5,6},{7}} => [3,1,2,1]
{{1,2,3,7},{4},{5},{6}} => [4,1,1,1]
{{1,2,3},{4,7},{5},{6}} => [3,2,1,1]
{{1,2,3},{4},{5,7},{6}} => [3,1,2,1]
{{1,2,3},{4},{5},{6,7}} => [3,1,1,2]
{{1,2,3},{4},{5},{6},{7}} => [3,1,1,1,1]
{{1,2,4,5,6,7},{3}} => [6,1]
{{1,2,4,5,6},{3,7}} => [5,2]
{{1,2,4,5,6},{3},{7}} => [5,1,1]
{{1,2,4,5,7},{3,6}} => [5,2]
{{1,2,4,5},{3,6,7}} => [4,3]
{{1,2,4,5},{3,6},{7}} => [4,2,1]
{{1,2,4,5,7},{3},{6}} => [5,1,1]
{{1,2,4,5},{3,7},{6}} => [4,2,1]
{{1,2,4,5},{3},{6,7}} => [4,1,2]
{{1,2,4,5},{3},{6},{7}} => [4,1,1,1]
{{1,2,4,6,7},{3,5}} => [5,2]
{{1,2,4,6},{3,5,7}} => [4,3]
{{1,2,4,6},{3,5},{7}} => [4,2,1]
{{1,2,4,7},{3,5,6}} => [4,3]
{{1,2,4},{3,5,6,7}} => [3,4]
{{1,2,4},{3,5,6},{7}} => [3,3,1]
{{1,2,4,7},{3,5},{6}} => [4,2,1]
{{1,2,4},{3,5,7},{6}} => [3,3,1]
{{1,2,4},{3,5},{6,7}} => [3,2,2]
{{1,2,4},{3,5},{6},{7}} => [3,2,1,1]
{{1,2,4,6,7},{3},{5}} => [5,1,1]
{{1,2,4,6},{3,7},{5}} => [4,2,1]
{{1,2,4,6},{3},{5,7}} => [4,1,2]
{{1,2,4,6},{3},{5},{7}} => [4,1,1,1]
{{1,2,4,7},{3,6},{5}} => [4,2,1]
{{1,2,4},{3,6,7},{5}} => [3,3,1]
{{1,2,4},{3,6},{5,7}} => [3,2,2]
{{1,2,4},{3,6},{5},{7}} => [3,2,1,1]
{{1,2,4,7},{3},{5,6}} => [4,1,2]
{{1,2,4},{3,7},{5,6}} => [3,2,2]
{{1,2,4},{3},{5,6,7}} => [3,1,3]
{{1,2,4},{3},{5,6},{7}} => [3,1,2,1]
{{1,2,4,7},{3},{5},{6}} => [4,1,1,1]
{{1,2,4},{3,7},{5},{6}} => [3,2,1,1]
{{1,2,4},{3},{5,7},{6}} => [3,1,2,1]
{{1,2,4},{3},{5},{6,7}} => [3,1,1,2]
{{1,2,4},{3},{5},{6},{7}} => [3,1,1,1,1]
{{1,2,5,6,7},{3,4}} => [5,2]
{{1,2,5,6},{3,4,7}} => [4,3]
{{1,2,5,6},{3,4},{7}} => [4,2,1]
{{1,2,5,7},{3,4,6}} => [4,3]
{{1,2,5},{3,4,6,7}} => [3,4]
{{1,2,5},{3,4,6},{7}} => [3,3,1]
{{1,2,5,7},{3,4},{6}} => [4,2,1]
{{1,2,5},{3,4,7},{6}} => [3,3,1]
{{1,2,5},{3,4},{6,7}} => [3,2,2]
{{1,2,5},{3,4},{6},{7}} => [3,2,1,1]
{{1,2,6,7},{3,4,5}} => [4,3]
{{1,2,6},{3,4,5,7}} => [3,4]
{{1,2,6},{3,4,5},{7}} => [3,3,1]
{{1,2,7},{3,4,5,6}} => [3,4]
{{1,2},{3,4,5,6,7}} => [2,5]
{{1,2},{3,4,5,6},{7}} => [2,4,1]
{{1,2,7},{3,4,5},{6}} => [3,3,1]
{{1,2},{3,4,5,7},{6}} => [2,4,1]
{{1,2},{3,4,5},{6,7}} => [2,3,2]
{{1,2},{3,4,5},{6},{7}} => [2,3,1,1]
{{1,2,6,7},{3,4},{5}} => [4,2,1]
{{1,2,6},{3,4,7},{5}} => [3,3,1]
{{1,2,6},{3,4},{5,7}} => [3,2,2]
{{1,2,6},{3,4},{5},{7}} => [3,2,1,1]
{{1,2,7},{3,4,6},{5}} => [3,3,1]
{{1,2},{3,4,6,7},{5}} => [2,4,1]
{{1,2},{3,4,6},{5,7}} => [2,3,2]
{{1,2},{3,4,6},{5},{7}} => [2,3,1,1]
{{1,2,7},{3,4},{5,6}} => [3,2,2]
{{1,2},{3,4,7},{5,6}} => [2,3,2]
{{1,2},{3,4},{5,6,7}} => [2,2,3]
{{1,2},{3,4},{5,6},{7}} => [2,2,2,1]
{{1,2,7},{3,4},{5},{6}} => [3,2,1,1]
{{1,2},{3,4,7},{5},{6}} => [2,3,1,1]
{{1,2},{3,4},{5,7},{6}} => [2,2,2,1]
{{1,2},{3,4},{5},{6,7}} => [2,2,1,2]
{{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1]
{{1,2,5,6,7},{3},{4}} => [5,1,1]
{{1,2,5,6},{3,7},{4}} => [4,2,1]
{{1,2,5,6},{3},{4,7}} => [4,1,2]
{{1,2,5,6},{3},{4},{7}} => [4,1,1,1]
{{1,2,5,7},{3,6},{4}} => [4,2,1]
{{1,2,5},{3,6,7},{4}} => [3,3,1]
{{1,2,5},{3,6},{4,7}} => [3,2,2]
{{1,2,5},{3,6},{4},{7}} => [3,2,1,1]
{{1,2,5,7},{3},{4,6}} => [4,1,2]
{{1,2,5},{3,7},{4,6}} => [3,2,2]
{{1,2,5},{3},{4,6,7}} => [3,1,3]
{{1,2,5},{3},{4,6},{7}} => [3,1,2,1]
{{1,2,5,7},{3},{4},{6}} => [4,1,1,1]
{{1,2,5},{3,7},{4},{6}} => [3,2,1,1]
{{1,2,5},{3},{4,7},{6}} => [3,1,2,1]
{{1,2,5},{3},{4},{6,7}} => [3,1,1,2]
{{1,2,5},{3},{4},{6},{7}} => [3,1,1,1,1]
{{1,2,6,7},{3,5},{4}} => [4,2,1]
{{1,2,6},{3,5,7},{4}} => [3,3,1]
{{1,2,6},{3,5},{4,7}} => [3,2,2]
{{1,2,6},{3,5},{4},{7}} => [3,2,1,1]
{{1,2,7},{3,5,6},{4}} => [3,3,1]
{{1,2},{3,5,6,7},{4}} => [2,4,1]
{{1,2},{3,5,6},{4,7}} => [2,3,2]
{{1,2},{3,5,6},{4},{7}} => [2,3,1,1]
{{1,2,7},{3,5},{4,6}} => [3,2,2]
{{1,2},{3,5,7},{4,6}} => [2,3,2]
{{1,2},{3,5},{4,6,7}} => [2,2,3]
{{1,2},{3,5},{4,6},{7}} => [2,2,2,1]
{{1,2,7},{3,5},{4},{6}} => [3,2,1,1]
{{1,2},{3,5,7},{4},{6}} => [2,3,1,1]
{{1,2},{3,5},{4,7},{6}} => [2,2,2,1]
{{1,2},{3,5},{4},{6,7}} => [2,2,1,2]
{{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1]
{{1,2,6,7},{3},{4,5}} => [4,1,2]
{{1,2,6},{3,7},{4,5}} => [3,2,2]
{{1,2,6},{3},{4,5,7}} => [3,1,3]
{{1,2,6},{3},{4,5},{7}} => [3,1,2,1]
{{1,2,7},{3,6},{4,5}} => [3,2,2]
{{1,2},{3,6,7},{4,5}} => [2,3,2]
{{1,2},{3,6},{4,5,7}} => [2,2,3]
{{1,2},{3,6},{4,5},{7}} => [2,2,2,1]
{{1,2,7},{3},{4,5,6}} => [3,1,3]
{{1,2},{3,7},{4,5,6}} => [2,2,3]
{{1,2},{3},{4,5,6,7}} => [2,1,4]
{{1,2},{3},{4,5,6},{7}} => [2,1,3,1]
{{1,2,7},{3},{4,5},{6}} => [3,1,2,1]
{{1,2},{3,7},{4,5},{6}} => [2,2,2,1]
{{1,2},{3},{4,5,7},{6}} => [2,1,3,1]
{{1,2},{3},{4,5},{6,7}} => [2,1,2,2]
{{1,2},{3},{4,5},{6},{7}} => [2,1,2,1,1]
{{1,2,6,7},{3},{4},{5}} => [4,1,1,1]
{{1,2,6},{3,7},{4},{5}} => [3,2,1,1]
{{1,2,6},{3},{4,7},{5}} => [3,1,2,1]
{{1,2,6},{3},{4},{5,7}} => [3,1,1,2]
{{1,2,6},{3},{4},{5},{7}} => [3,1,1,1,1]
{{1,2,7},{3,6},{4},{5}} => [3,2,1,1]
{{1,2},{3,6,7},{4},{5}} => [2,3,1,1]
{{1,2},{3,6},{4,7},{5}} => [2,2,2,1]
{{1,2},{3,6},{4},{5,7}} => [2,2,1,2]
{{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1]
{{1,2,7},{3},{4,6},{5}} => [3,1,2,1]
{{1,2},{3,7},{4,6},{5}} => [2,2,2,1]
{{1,2},{3},{4,6,7},{5}} => [2,1,3,1]
{{1,2},{3},{4,6},{5,7}} => [2,1,2,2]
{{1,2},{3},{4,6},{5},{7}} => [2,1,2,1,1]
{{1,2,7},{3},{4},{5,6}} => [3,1,1,2]
{{1,2},{3,7},{4},{5,6}} => [2,2,1,2]
{{1,2},{3},{4,7},{5,6}} => [2,1,2,2]
{{1,2},{3},{4},{5,6,7}} => [2,1,1,3]
{{1,2},{3},{4},{5,6},{7}} => [2,1,1,2,1]
{{1,2,7},{3},{4},{5},{6}} => [3,1,1,1,1]
{{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1]
{{1,2},{3},{4,7},{5},{6}} => [2,1,2,1,1]
{{1,2},{3},{4},{5,7},{6}} => [2,1,1,2,1]
{{1,2},{3},{4},{5},{6,7}} => [2,1,1,1,2]
{{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1]
{{1,3,4,5,6,7},{2}} => [6,1]
{{1,3,4,5,6},{2,7}} => [5,2]
{{1,3,4,5,6},{2},{7}} => [5,1,1]
{{1,3,4,5,7},{2,6}} => [5,2]
{{1,3,4,5},{2,6,7}} => [4,3]
{{1,3,4,5},{2,6},{7}} => [4,2,1]
{{1,3,4,5,7},{2},{6}} => [5,1,1]
{{1,3,4,5},{2,7},{6}} => [4,2,1]
{{1,3,4,5},{2},{6,7}} => [4,1,2]
{{1,3,4,5},{2},{6},{7}} => [4,1,1,1]
{{1,3,4,6,7},{2,5}} => [5,2]
{{1,3,4,6},{2,5,7}} => [4,3]
{{1,3,4,6},{2,5},{7}} => [4,2,1]
{{1,3,4,7},{2,5,6}} => [4,3]
{{1,3,4},{2,5,6,7}} => [3,4]
{{1,3,4},{2,5,6},{7}} => [3,3,1]
{{1,3,4,7},{2,5},{6}} => [4,2,1]
{{1,3,4},{2,5,7},{6}} => [3,3,1]
{{1,3,4},{2,5},{6,7}} => [3,2,2]
{{1,3,4},{2,5},{6},{7}} => [3,2,1,1]
{{1,3,4,6,7},{2},{5}} => [5,1,1]
{{1,3,4,6},{2,7},{5}} => [4,2,1]
{{1,3,4,6},{2},{5,7}} => [4,1,2]
{{1,3,4,6},{2},{5},{7}} => [4,1,1,1]
{{1,3,4,7},{2,6},{5}} => [4,2,1]
{{1,3,4},{2,6,7},{5}} => [3,3,1]
{{1,3,4},{2,6},{5,7}} => [3,2,2]
{{1,3,4},{2,6},{5},{7}} => [3,2,1,1]
{{1,3,4,7},{2},{5,6}} => [4,1,2]
{{1,3,4},{2,7},{5,6}} => [3,2,2]
{{1,3,4},{2},{5,6,7}} => [3,1,3]
{{1,3,4},{2},{5,6},{7}} => [3,1,2,1]
{{1,3,4,7},{2},{5},{6}} => [4,1,1,1]
{{1,3,4},{2,7},{5},{6}} => [3,2,1,1]
{{1,3,4},{2},{5,7},{6}} => [3,1,2,1]
{{1,3,4},{2},{5},{6,7}} => [3,1,1,2]
{{1,3,4},{2},{5},{6},{7}} => [3,1,1,1,1]
{{1,3,5,6,7},{2,4}} => [5,2]
{{1,3,5,6},{2,4,7}} => [4,3]
{{1,3,5,6},{2,4},{7}} => [4,2,1]
{{1,3,5,7},{2,4,6}} => [4,3]
{{1,3,5},{2,4,6,7}} => [3,4]
{{1,3,5},{2,4,6},{7}} => [3,3,1]
{{1,3,5,7},{2,4},{6}} => [4,2,1]
{{1,3,5},{2,4,7},{6}} => [3,3,1]
{{1,3,5},{2,4},{6,7}} => [3,2,2]
{{1,3,5},{2,4},{6},{7}} => [3,2,1,1]
{{1,3,6,7},{2,4,5}} => [4,3]
{{1,3,6},{2,4,5,7}} => [3,4]
{{1,3,6},{2,4,5},{7}} => [3,3,1]
{{1,3,7},{2,4,5,6}} => [3,4]
{{1,3},{2,4,5,6,7}} => [2,5]
{{1,3},{2,4,5,6},{7}} => [2,4,1]
{{1,3,7},{2,4,5},{6}} => [3,3,1]
{{1,3},{2,4,5,7},{6}} => [2,4,1]
{{1,3},{2,4,5},{6,7}} => [2,3,2]
{{1,3},{2,4,5},{6},{7}} => [2,3,1,1]
{{1,3,6,7},{2,4},{5}} => [4,2,1]
{{1,3,6},{2,4,7},{5}} => [3,3,1]
{{1,3,6},{2,4},{5,7}} => [3,2,2]
{{1,3,6},{2,4},{5},{7}} => [3,2,1,1]
{{1,3,7},{2,4,6},{5}} => [3,3,1]
{{1,3},{2,4,6,7},{5}} => [2,4,1]
{{1,3},{2,4,6},{5,7}} => [2,3,2]
{{1,3},{2,4,6},{5},{7}} => [2,3,1,1]
{{1,3,7},{2,4},{5,6}} => [3,2,2]
{{1,3},{2,4,7},{5,6}} => [2,3,2]
{{1,3},{2,4},{5,6,7}} => [2,2,3]
{{1,3},{2,4},{5,6},{7}} => [2,2,2,1]
{{1,3,7},{2,4},{5},{6}} => [3,2,1,1]
{{1,3},{2,4,7},{5},{6}} => [2,3,1,1]
{{1,3},{2,4},{5,7},{6}} => [2,2,2,1]
{{1,3},{2,4},{5},{6,7}} => [2,2,1,2]
{{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1]
{{1,3,5,6,7},{2},{4}} => [5,1,1]
{{1,3,5,6},{2,7},{4}} => [4,2,1]
{{1,3,5,6},{2},{4,7}} => [4,1,2]
{{1,3,5,6},{2},{4},{7}} => [4,1,1,1]
{{1,3,5,7},{2,6},{4}} => [4,2,1]
{{1,3,5},{2,6,7},{4}} => [3,3,1]
{{1,3,5},{2,6},{4,7}} => [3,2,2]
{{1,3,5},{2,6},{4},{7}} => [3,2,1,1]
{{1,3,5,7},{2},{4,6}} => [4,1,2]
{{1,3,5},{2,7},{4,6}} => [3,2,2]
{{1,3,5},{2},{4,6,7}} => [3,1,3]
{{1,3,5},{2},{4,6},{7}} => [3,1,2,1]
{{1,3,5,7},{2},{4},{6}} => [4,1,1,1]
{{1,3,5},{2,7},{4},{6}} => [3,2,1,1]
{{1,3,5},{2},{4,7},{6}} => [3,1,2,1]
{{1,3,5},{2},{4},{6,7}} => [3,1,1,2]
{{1,3,5},{2},{4},{6},{7}} => [3,1,1,1,1]
{{1,3,6,7},{2,5},{4}} => [4,2,1]
{{1,3,6},{2,5,7},{4}} => [3,3,1]
{{1,3,6},{2,5},{4,7}} => [3,2,2]
{{1,3,6},{2,5},{4},{7}} => [3,2,1,1]
{{1,3,7},{2,5,6},{4}} => [3,3,1]
{{1,3},{2,5,6,7},{4}} => [2,4,1]
{{1,3},{2,5,6},{4,7}} => [2,3,2]
{{1,3},{2,5,6},{4},{7}} => [2,3,1,1]
{{1,3,7},{2,5},{4,6}} => [3,2,2]
{{1,3},{2,5,7},{4,6}} => [2,3,2]
{{1,3},{2,5},{4,6,7}} => [2,2,3]
{{1,3},{2,5},{4,6},{7}} => [2,2,2,1]
{{1,3,7},{2,5},{4},{6}} => [3,2,1,1]
{{1,3},{2,5,7},{4},{6}} => [2,3,1,1]
{{1,3},{2,5},{4,7},{6}} => [2,2,2,1]
{{1,3},{2,5},{4},{6,7}} => [2,2,1,2]
{{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1]
{{1,3,6,7},{2},{4,5}} => [4,1,2]
{{1,3,6},{2,7},{4,5}} => [3,2,2]
{{1,3,6},{2},{4,5,7}} => [3,1,3]
{{1,3,6},{2},{4,5},{7}} => [3,1,2,1]
{{1,3,7},{2,6},{4,5}} => [3,2,2]
{{1,3},{2,6,7},{4,5}} => [2,3,2]
{{1,3},{2,6},{4,5,7}} => [2,2,3]
{{1,3},{2,6},{4,5},{7}} => [2,2,2,1]
{{1,3,7},{2},{4,5,6}} => [3,1,3]
{{1,3},{2,7},{4,5,6}} => [2,2,3]
{{1,3},{2},{4,5,6,7}} => [2,1,4]
{{1,3},{2},{4,5,6},{7}} => [2,1,3,1]
{{1,3,7},{2},{4,5},{6}} => [3,1,2,1]
{{1,3},{2,7},{4,5},{6}} => [2,2,2,1]
{{1,3},{2},{4,5,7},{6}} => [2,1,3,1]
{{1,3},{2},{4,5},{6,7}} => [2,1,2,2]
{{1,3},{2},{4,5},{6},{7}} => [2,1,2,1,1]
{{1,3,6,7},{2},{4},{5}} => [4,1,1,1]
{{1,3,6},{2,7},{4},{5}} => [3,2,1,1]
{{1,3,6},{2},{4,7},{5}} => [3,1,2,1]
{{1,3,6},{2},{4},{5,7}} => [3,1,1,2]
{{1,3,6},{2},{4},{5},{7}} => [3,1,1,1,1]
{{1,3,7},{2,6},{4},{5}} => [3,2,1,1]
{{1,3},{2,6,7},{4},{5}} => [2,3,1,1]
{{1,3},{2,6},{4,7},{5}} => [2,2,2,1]
{{1,3},{2,6},{4},{5,7}} => [2,2,1,2]
{{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1]
{{1,3,7},{2},{4,6},{5}} => [3,1,2,1]
{{1,3},{2,7},{4,6},{5}} => [2,2,2,1]
{{1,3},{2},{4,6,7},{5}} => [2,1,3,1]
{{1,3},{2},{4,6},{5,7}} => [2,1,2,2]
{{1,3},{2},{4,6},{5},{7}} => [2,1,2,1,1]
{{1,3,7},{2},{4},{5,6}} => [3,1,1,2]
{{1,3},{2,7},{4},{5,6}} => [2,2,1,2]
{{1,3},{2},{4,7},{5,6}} => [2,1,2,2]
{{1,3},{2},{4},{5,6,7}} => [2,1,1,3]
{{1,3},{2},{4},{5,6},{7}} => [2,1,1,2,1]
{{1,3,7},{2},{4},{5},{6}} => [3,1,1,1,1]
{{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1]
{{1,3},{2},{4,7},{5},{6}} => [2,1,2,1,1]
{{1,3},{2},{4},{5,7},{6}} => [2,1,1,2,1]
{{1,3},{2},{4},{5},{6,7}} => [2,1,1,1,2]
{{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1]
{{1,4,5,6,7},{2,3}} => [5,2]
{{1,4,5,6},{2,3,7}} => [4,3]
{{1,4,5,6},{2,3},{7}} => [4,2,1]
{{1,4,5,7},{2,3,6}} => [4,3]
{{1,4,5},{2,3,6,7}} => [3,4]
{{1,4,5},{2,3,6},{7}} => [3,3,1]
{{1,4,5,7},{2,3},{6}} => [4,2,1]
{{1,4,5},{2,3,7},{6}} => [3,3,1]
{{1,4,5},{2,3},{6,7}} => [3,2,2]
{{1,4,5},{2,3},{6},{7}} => [3,2,1,1]
{{1,4,6,7},{2,3,5}} => [4,3]
{{1,4,6},{2,3,5,7}} => [3,4]
{{1,4,6},{2,3,5},{7}} => [3,3,1]
{{1,4,7},{2,3,5,6}} => [3,4]
{{1,4},{2,3,5,6,7}} => [2,5]
{{1,4},{2,3,5,6},{7}} => [2,4,1]
{{1,4,7},{2,3,5},{6}} => [3,3,1]
{{1,4},{2,3,5,7},{6}} => [2,4,1]
{{1,4},{2,3,5},{6,7}} => [2,3,2]
{{1,4},{2,3,5},{6},{7}} => [2,3,1,1]
{{1,4,6,7},{2,3},{5}} => [4,2,1]
{{1,4,6},{2,3,7},{5}} => [3,3,1]
{{1,4,6},{2,3},{5,7}} => [3,2,2]
{{1,4,6},{2,3},{5},{7}} => [3,2,1,1]
{{1,4,7},{2,3,6},{5}} => [3,3,1]
{{1,4},{2,3,6,7},{5}} => [2,4,1]
{{1,4},{2,3,6},{5,7}} => [2,3,2]
{{1,4},{2,3,6},{5},{7}} => [2,3,1,1]
{{1,4,7},{2,3},{5,6}} => [3,2,2]
{{1,4},{2,3,7},{5,6}} => [2,3,2]
{{1,4},{2,3},{5,6,7}} => [2,2,3]
{{1,4},{2,3},{5,6},{7}} => [2,2,2,1]
{{1,4,7},{2,3},{5},{6}} => [3,2,1,1]
{{1,4},{2,3,7},{5},{6}} => [2,3,1,1]
{{1,4},{2,3},{5,7},{6}} => [2,2,2,1]
{{1,4},{2,3},{5},{6,7}} => [2,2,1,2]
{{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1]
{{1,5,6,7},{2,3,4}} => [4,3]
{{1,5,6},{2,3,4,7}} => [3,4]
{{1,5,6},{2,3,4},{7}} => [3,3,1]
{{1,5,7},{2,3,4,6}} => [3,4]
{{1,5},{2,3,4,6,7}} => [2,5]
{{1,5},{2,3,4,6},{7}} => [2,4,1]
{{1,5,7},{2,3,4},{6}} => [3,3,1]
{{1,5},{2,3,4,7},{6}} => [2,4,1]
{{1,5},{2,3,4},{6,7}} => [2,3,2]
{{1,5},{2,3,4},{6},{7}} => [2,3,1,1]
{{1,6,7},{2,3,4,5}} => [3,4]
{{1,6},{2,3,4,5,7}} => [2,5]
{{1,6},{2,3,4,5},{7}} => [2,4,1]
{{1,7},{2,3,4,5,6}} => [2,5]
{{1},{2,3,4,5,6,7}} => [1,6]
{{1},{2,3,4,5,6},{7}} => [1,5,1]
{{1,7},{2,3,4,5},{6}} => [2,4,1]
{{1},{2,3,4,5,7},{6}} => [1,5,1]
{{1},{2,3,4,5},{6,7}} => [1,4,2]
{{1},{2,3,4,5},{6},{7}} => [1,4,1,1]
{{1,6,7},{2,3,4},{5}} => [3,3,1]
{{1,6},{2,3,4,7},{5}} => [2,4,1]
{{1,6},{2,3,4},{5,7}} => [2,3,2]
{{1,6},{2,3,4},{5},{7}} => [2,3,1,1]
{{1,7},{2,3,4,6},{5}} => [2,4,1]
{{1},{2,3,4,6,7},{5}} => [1,5,1]
{{1},{2,3,4,6},{5,7}} => [1,4,2]
{{1},{2,3,4,6},{5},{7}} => [1,4,1,1]
{{1,7},{2,3,4},{5,6}} => [2,3,2]
{{1},{2,3,4,7},{5,6}} => [1,4,2]
{{1},{2,3,4},{5,6,7}} => [1,3,3]
{{1},{2,3,4},{5,6},{7}} => [1,3,2,1]
{{1,7},{2,3,4},{5},{6}} => [2,3,1,1]
{{1},{2,3,4,7},{5},{6}} => [1,4,1,1]
{{1},{2,3,4},{5,7},{6}} => [1,3,2,1]
{{1},{2,3,4},{5},{6,7}} => [1,3,1,2]
{{1},{2,3,4},{5},{6},{7}} => [1,3,1,1,1]
{{1,5,6,7},{2,3},{4}} => [4,2,1]
{{1,5,6},{2,3,7},{4}} => [3,3,1]
{{1,5,6},{2,3},{4,7}} => [3,2,2]
{{1,5,6},{2,3},{4},{7}} => [3,2,1,1]
{{1,5,7},{2,3,6},{4}} => [3,3,1]
{{1,5},{2,3,6,7},{4}} => [2,4,1]
{{1,5},{2,3,6},{4,7}} => [2,3,2]
{{1,5},{2,3,6},{4},{7}} => [2,3,1,1]
{{1,5,7},{2,3},{4,6}} => [3,2,2]
{{1,5},{2,3,7},{4,6}} => [2,3,2]
{{1,5},{2,3},{4,6,7}} => [2,2,3]
{{1,5},{2,3},{4,6},{7}} => [2,2,2,1]
{{1,5,7},{2,3},{4},{6}} => [3,2,1,1]
{{1,5},{2,3,7},{4},{6}} => [2,3,1,1]
{{1,5},{2,3},{4,7},{6}} => [2,2,2,1]
{{1,5},{2,3},{4},{6,7}} => [2,2,1,2]
{{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1]
{{1,6,7},{2,3,5},{4}} => [3,3,1]
{{1,6},{2,3,5,7},{4}} => [2,4,1]
{{1,6},{2,3,5},{4,7}} => [2,3,2]
{{1,6},{2,3,5},{4},{7}} => [2,3,1,1]
{{1,7},{2,3,5,6},{4}} => [2,4,1]
{{1},{2,3,5,6,7},{4}} => [1,5,1]
{{1},{2,3,5,6},{4,7}} => [1,4,2]
{{1},{2,3,5,6},{4},{7}} => [1,4,1,1]
{{1,7},{2,3,5},{4,6}} => [2,3,2]
{{1},{2,3,5,7},{4,6}} => [1,4,2]
{{1},{2,3,5},{4,6,7}} => [1,3,3]
{{1},{2,3,5},{4,6},{7}} => [1,3,2,1]
{{1,7},{2,3,5},{4},{6}} => [2,3,1,1]
{{1},{2,3,5,7},{4},{6}} => [1,4,1,1]
{{1},{2,3,5},{4,7},{6}} => [1,3,2,1]
{{1},{2,3,5},{4},{6,7}} => [1,3,1,2]
{{1},{2,3,5},{4},{6},{7}} => [1,3,1,1,1]
{{1,6,7},{2,3},{4,5}} => [3,2,2]
{{1,6},{2,3,7},{4,5}} => [2,3,2]
{{1,6},{2,3},{4,5,7}} => [2,2,3]
{{1,6},{2,3},{4,5},{7}} => [2,2,2,1]
{{1,7},{2,3,6},{4,5}} => [2,3,2]
{{1},{2,3,6,7},{4,5}} => [1,4,2]
{{1},{2,3,6},{4,5,7}} => [1,3,3]
{{1},{2,3,6},{4,5},{7}} => [1,3,2,1]
{{1,7},{2,3},{4,5,6}} => [2,2,3]
{{1},{2,3,7},{4,5,6}} => [1,3,3]
{{1},{2,3},{4,5,6,7}} => [1,2,4]
{{1},{2,3},{4,5,6},{7}} => [1,2,3,1]
{{1,7},{2,3},{4,5},{6}} => [2,2,2,1]
{{1},{2,3,7},{4,5},{6}} => [1,3,2,1]
{{1},{2,3},{4,5,7},{6}} => [1,2,3,1]
{{1},{2,3},{4,5},{6,7}} => [1,2,2,2]
{{1},{2,3},{4,5},{6},{7}} => [1,2,2,1,1]
{{1,6,7},{2,3},{4},{5}} => [3,2,1,1]
{{1,6},{2,3,7},{4},{5}} => [2,3,1,1]
{{1,6},{2,3},{4,7},{5}} => [2,2,2,1]
{{1,6},{2,3},{4},{5,7}} => [2,2,1,2]
{{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1]
{{1,7},{2,3,6},{4},{5}} => [2,3,1,1]
{{1},{2,3,6,7},{4},{5}} => [1,4,1,1]
{{1},{2,3,6},{4,7},{5}} => [1,3,2,1]
{{1},{2,3,6},{4},{5,7}} => [1,3,1,2]
{{1},{2,3,6},{4},{5},{7}} => [1,3,1,1,1]
{{1,7},{2,3},{4,6},{5}} => [2,2,2,1]
{{1},{2,3,7},{4,6},{5}} => [1,3,2,1]
{{1},{2,3},{4,6,7},{5}} => [1,2,3,1]
{{1},{2,3},{4,6},{5,7}} => [1,2,2,2]
{{1},{2,3},{4,6},{5},{7}} => [1,2,2,1,1]
{{1,7},{2,3},{4},{5,6}} => [2,2,1,2]
{{1},{2,3,7},{4},{5,6}} => [1,3,1,2]
{{1},{2,3},{4,7},{5,6}} => [1,2,2,2]
{{1},{2,3},{4},{5,6,7}} => [1,2,1,3]
{{1},{2,3},{4},{5,6},{7}} => [1,2,1,2,1]
{{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1]
{{1},{2,3,7},{4},{5},{6}} => [1,3,1,1,1]
{{1},{2,3},{4,7},{5},{6}} => [1,2,2,1,1]
{{1},{2,3},{4},{5,7},{6}} => [1,2,1,2,1]
{{1},{2,3},{4},{5},{6,7}} => [1,2,1,1,2]
{{1},{2,3},{4},{5},{6},{7}} => [1,2,1,1,1,1]
{{1,4,5,6,7},{2},{3}} => [5,1,1]
{{1,4,5,6},{2,7},{3}} => [4,2,1]
{{1,4,5,6},{2},{3,7}} => [4,1,2]
{{1,4,5,6},{2},{3},{7}} => [4,1,1,1]
{{1,4,5,7},{2,6},{3}} => [4,2,1]
{{1,4,5},{2,6,7},{3}} => [3,3,1]
{{1,4,5},{2,6},{3,7}} => [3,2,2]
{{1,4,5},{2,6},{3},{7}} => [3,2,1,1]
{{1,4,5,7},{2},{3,6}} => [4,1,2]
{{1,4,5},{2,7},{3,6}} => [3,2,2]
{{1,4,5},{2},{3,6,7}} => [3,1,3]
{{1,4,5},{2},{3,6},{7}} => [3,1,2,1]
{{1,4,5,7},{2},{3},{6}} => [4,1,1,1]
{{1,4,5},{2,7},{3},{6}} => [3,2,1,1]
{{1,4,5},{2},{3,7},{6}} => [3,1,2,1]
{{1,4,5},{2},{3},{6,7}} => [3,1,1,2]
{{1,4,5},{2},{3},{6},{7}} => [3,1,1,1,1]
{{1,4,6,7},{2,5},{3}} => [4,2,1]
{{1,4,6},{2,5,7},{3}} => [3,3,1]
{{1,4,6},{2,5},{3,7}} => [3,2,2]
{{1,4,6},{2,5},{3},{7}} => [3,2,1,1]
{{1,4,7},{2,5,6},{3}} => [3,3,1]
{{1,4},{2,5,6,7},{3}} => [2,4,1]
{{1,4},{2,5,6},{3,7}} => [2,3,2]
{{1,4},{2,5,6},{3},{7}} => [2,3,1,1]
{{1,4,7},{2,5},{3,6}} => [3,2,2]
{{1,4},{2,5,7},{3,6}} => [2,3,2]
{{1,4},{2,5},{3,6,7}} => [2,2,3]
{{1,4},{2,5},{3,6},{7}} => [2,2,2,1]
{{1,4,7},{2,5},{3},{6}} => [3,2,1,1]
{{1,4},{2,5,7},{3},{6}} => [2,3,1,1]
{{1,4},{2,5},{3,7},{6}} => [2,2,2,1]
{{1,4},{2,5},{3},{6,7}} => [2,2,1,2]
{{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1]
{{1,4,6,7},{2},{3,5}} => [4,1,2]
{{1,4,6},{2,7},{3,5}} => [3,2,2]
{{1,4,6},{2},{3,5,7}} => [3,1,3]
{{1,4,6},{2},{3,5},{7}} => [3,1,2,1]
{{1,4,7},{2,6},{3,5}} => [3,2,2]
{{1,4},{2,6,7},{3,5}} => [2,3,2]
{{1,4},{2,6},{3,5,7}} => [2,2,3]
{{1,4},{2,6},{3,5},{7}} => [2,2,2,1]
{{1,4,7},{2},{3,5,6}} => [3,1,3]
{{1,4},{2,7},{3,5,6}} => [2,2,3]
{{1,4},{2},{3,5,6,7}} => [2,1,4]
{{1,4},{2},{3,5,6},{7}} => [2,1,3,1]
{{1,4,7},{2},{3,5},{6}} => [3,1,2,1]
{{1,4},{2,7},{3,5},{6}} => [2,2,2,1]
{{1,4},{2},{3,5,7},{6}} => [2,1,3,1]
{{1,4},{2},{3,5},{6,7}} => [2,1,2,2]
{{1,4},{2},{3,5},{6},{7}} => [2,1,2,1,1]
{{1,4,6,7},{2},{3},{5}} => [4,1,1,1]
{{1,4,6},{2,7},{3},{5}} => [3,2,1,1]
{{1,4,6},{2},{3,7},{5}} => [3,1,2,1]
{{1,4,6},{2},{3},{5,7}} => [3,1,1,2]
{{1,4,6},{2},{3},{5},{7}} => [3,1,1,1,1]
{{1,4,7},{2,6},{3},{5}} => [3,2,1,1]
{{1,4},{2,6,7},{3},{5}} => [2,3,1,1]
{{1,4},{2,6},{3,7},{5}} => [2,2,2,1]
{{1,4},{2,6},{3},{5,7}} => [2,2,1,2]
{{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1]
{{1,4,7},{2},{3,6},{5}} => [3,1,2,1]
{{1,4},{2,7},{3,6},{5}} => [2,2,2,1]
{{1,4},{2},{3,6,7},{5}} => [2,1,3,1]
{{1,4},{2},{3,6},{5,7}} => [2,1,2,2]
{{1,4},{2},{3,6},{5},{7}} => [2,1,2,1,1]
{{1,4,7},{2},{3},{5,6}} => [3,1,1,2]
{{1,4},{2,7},{3},{5,6}} => [2,2,1,2]
{{1,4},{2},{3,7},{5,6}} => [2,1,2,2]
{{1,4},{2},{3},{5,6,7}} => [2,1,1,3]
{{1,4},{2},{3},{5,6},{7}} => [2,1,1,2,1]
{{1,4,7},{2},{3},{5},{6}} => [3,1,1,1,1]
{{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1]
{{1,4},{2},{3,7},{5},{6}} => [2,1,2,1,1]
{{1,4},{2},{3},{5,7},{6}} => [2,1,1,2,1]
{{1,4},{2},{3},{5},{6,7}} => [2,1,1,1,2]
{{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1]
{{1,5,6,7},{2,4},{3}} => [4,2,1]
{{1,5,6},{2,4,7},{3}} => [3,3,1]
{{1,5,6},{2,4},{3,7}} => [3,2,2]
{{1,5,6},{2,4},{3},{7}} => [3,2,1,1]
{{1,5,7},{2,4,6},{3}} => [3,3,1]
{{1,5},{2,4,6,7},{3}} => [2,4,1]
{{1,5},{2,4,6},{3,7}} => [2,3,2]
{{1,5},{2,4,6},{3},{7}} => [2,3,1,1]
{{1,5,7},{2,4},{3,6}} => [3,2,2]
{{1,5},{2,4,7},{3,6}} => [2,3,2]
{{1,5},{2,4},{3,6,7}} => [2,2,3]
{{1,5},{2,4},{3,6},{7}} => [2,2,2,1]
{{1,5,7},{2,4},{3},{6}} => [3,2,1,1]
{{1,5},{2,4,7},{3},{6}} => [2,3,1,1]
{{1,5},{2,4},{3,7},{6}} => [2,2,2,1]
{{1,5},{2,4},{3},{6,7}} => [2,2,1,2]
{{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1]
{{1,6,7},{2,4,5},{3}} => [3,3,1]
{{1,6},{2,4,5,7},{3}} => [2,4,1]
{{1,6},{2,4,5},{3,7}} => [2,3,2]
{{1,6},{2,4,5},{3},{7}} => [2,3,1,1]
{{1,7},{2,4,5,6},{3}} => [2,4,1]
{{1},{2,4,5,6,7},{3}} => [1,5,1]
{{1},{2,4,5,6},{3,7}} => [1,4,2]
{{1},{2,4,5,6},{3},{7}} => [1,4,1,1]
{{1,7},{2,4,5},{3,6}} => [2,3,2]
{{1},{2,4,5,7},{3,6}} => [1,4,2]
{{1},{2,4,5},{3,6,7}} => [1,3,3]
{{1},{2,4,5},{3,6},{7}} => [1,3,2,1]
{{1,7},{2,4,5},{3},{6}} => [2,3,1,1]
{{1},{2,4,5,7},{3},{6}} => [1,4,1,1]
{{1},{2,4,5},{3,7},{6}} => [1,3,2,1]
{{1},{2,4,5},{3},{6,7}} => [1,3,1,2]
{{1},{2,4,5},{3},{6},{7}} => [1,3,1,1,1]
{{1,6,7},{2,4},{3,5}} => [3,2,2]
{{1,6},{2,4,7},{3,5}} => [2,3,2]
{{1,6},{2,4},{3,5,7}} => [2,2,3]
{{1,6},{2,4},{3,5},{7}} => [2,2,2,1]
{{1,7},{2,4,6},{3,5}} => [2,3,2]
{{1},{2,4,6,7},{3,5}} => [1,4,2]
{{1},{2,4,6},{3,5,7}} => [1,3,3]
{{1},{2,4,6},{3,5},{7}} => [1,3,2,1]
{{1,7},{2,4},{3,5,6}} => [2,2,3]
{{1},{2,4,7},{3,5,6}} => [1,3,3]
{{1},{2,4},{3,5,6,7}} => [1,2,4]
{{1},{2,4},{3,5,6},{7}} => [1,2,3,1]
{{1,7},{2,4},{3,5},{6}} => [2,2,2,1]
{{1},{2,4,7},{3,5},{6}} => [1,3,2,1]
{{1},{2,4},{3,5,7},{6}} => [1,2,3,1]
{{1},{2,4},{3,5},{6,7}} => [1,2,2,2]
{{1},{2,4},{3,5},{6},{7}} => [1,2,2,1,1]
{{1,6,7},{2,4},{3},{5}} => [3,2,1,1]
{{1,6},{2,4,7},{3},{5}} => [2,3,1,1]
{{1,6},{2,4},{3,7},{5}} => [2,2,2,1]
{{1,6},{2,4},{3},{5,7}} => [2,2,1,2]
{{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1]
{{1,7},{2,4,6},{3},{5}} => [2,3,1,1]
{{1},{2,4,6,7},{3},{5}} => [1,4,1,1]
{{1},{2,4,6},{3,7},{5}} => [1,3,2,1]
{{1},{2,4,6},{3},{5,7}} => [1,3,1,2]
{{1},{2,4,6},{3},{5},{7}} => [1,3,1,1,1]
{{1,7},{2,4},{3,6},{5}} => [2,2,2,1]
{{1},{2,4,7},{3,6},{5}} => [1,3,2,1]
{{1},{2,4},{3,6,7},{5}} => [1,2,3,1]
{{1},{2,4},{3,6},{5,7}} => [1,2,2,2]
{{1},{2,4},{3,6},{5},{7}} => [1,2,2,1,1]
{{1,7},{2,4},{3},{5,6}} => [2,2,1,2]
{{1},{2,4,7},{3},{5,6}} => [1,3,1,2]
{{1},{2,4},{3,7},{5,6}} => [1,2,2,2]
{{1},{2,4},{3},{5,6,7}} => [1,2,1,3]
{{1},{2,4},{3},{5,6},{7}} => [1,2,1,2,1]
{{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1]
{{1},{2,4,7},{3},{5},{6}} => [1,3,1,1,1]
{{1},{2,4},{3,7},{5},{6}} => [1,2,2,1,1]
{{1},{2,4},{3},{5,7},{6}} => [1,2,1,2,1]
{{1},{2,4},{3},{5},{6,7}} => [1,2,1,1,2]
{{1},{2,4},{3},{5},{6},{7}} => [1,2,1,1,1,1]
{{1,5,6,7},{2},{3,4}} => [4,1,2]
{{1,5,6},{2,7},{3,4}} => [3,2,2]
{{1,5,6},{2},{3,4,7}} => [3,1,3]
{{1,5,6},{2},{3,4},{7}} => [3,1,2,1]
{{1,5,7},{2,6},{3,4}} => [3,2,2]
{{1,5},{2,6,7},{3,4}} => [2,3,2]
{{1,5},{2,6},{3,4,7}} => [2,2,3]
{{1,5},{2,6},{3,4},{7}} => [2,2,2,1]
{{1,5,7},{2},{3,4,6}} => [3,1,3]
{{1,5},{2,7},{3,4,6}} => [2,2,3]
{{1,5},{2},{3,4,6,7}} => [2,1,4]
{{1,5},{2},{3,4,6},{7}} => [2,1,3,1]
{{1,5,7},{2},{3,4},{6}} => [3,1,2,1]
{{1,5},{2,7},{3,4},{6}} => [2,2,2,1]
{{1,5},{2},{3,4,7},{6}} => [2,1,3,1]
{{1,5},{2},{3,4},{6,7}} => [2,1,2,2]
{{1,5},{2},{3,4},{6},{7}} => [2,1,2,1,1]
{{1,6,7},{2,5},{3,4}} => [3,2,2]
{{1,6},{2,5,7},{3,4}} => [2,3,2]
{{1,6},{2,5},{3,4,7}} => [2,2,3]
{{1,6},{2,5},{3,4},{7}} => [2,2,2,1]
{{1,7},{2,5,6},{3,4}} => [2,3,2]
{{1},{2,5,6,7},{3,4}} => [1,4,2]
{{1},{2,5,6},{3,4,7}} => [1,3,3]
{{1},{2,5,6},{3,4},{7}} => [1,3,2,1]
{{1,7},{2,5},{3,4,6}} => [2,2,3]
{{1},{2,5,7},{3,4,6}} => [1,3,3]
{{1},{2,5},{3,4,6,7}} => [1,2,4]
{{1},{2,5},{3,4,6},{7}} => [1,2,3,1]
{{1,7},{2,5},{3,4},{6}} => [2,2,2,1]
{{1},{2,5,7},{3,4},{6}} => [1,3,2,1]
{{1},{2,5},{3,4,7},{6}} => [1,2,3,1]
{{1},{2,5},{3,4},{6,7}} => [1,2,2,2]
{{1},{2,5},{3,4},{6},{7}} => [1,2,2,1,1]
{{1,6,7},{2},{3,4,5}} => [3,1,3]
{{1,6},{2,7},{3,4,5}} => [2,2,3]
{{1,6},{2},{3,4,5,7}} => [2,1,4]
{{1,6},{2},{3,4,5},{7}} => [2,1,3,1]
{{1,7},{2,6},{3,4,5}} => [2,2,3]
{{1},{2,6,7},{3,4,5}} => [1,3,3]
{{1},{2,6},{3,4,5,7}} => [1,2,4]
{{1},{2,6},{3,4,5},{7}} => [1,2,3,1]
{{1,7},{2},{3,4,5,6}} => [2,1,4]
{{1},{2,7},{3,4,5,6}} => [1,2,4]
{{1},{2},{3,4,5,6,7}} => [1,1,5]
{{1},{2},{3,4,5,6},{7}} => [1,1,4,1]
{{1,7},{2},{3,4,5},{6}} => [2,1,3,1]
{{1},{2,7},{3,4,5},{6}} => [1,2,3,1]
{{1},{2},{3,4,5,7},{6}} => [1,1,4,1]
{{1},{2},{3,4,5},{6,7}} => [1,1,3,2]
{{1},{2},{3,4,5},{6},{7}} => [1,1,3,1,1]
{{1,6,7},{2},{3,4},{5}} => [3,1,2,1]
{{1,6},{2,7},{3,4},{5}} => [2,2,2,1]
{{1,6},{2},{3,4,7},{5}} => [2,1,3,1]
{{1,6},{2},{3,4},{5,7}} => [2,1,2,2]
{{1,6},{2},{3,4},{5},{7}} => [2,1,2,1,1]
{{1,7},{2,6},{3,4},{5}} => [2,2,2,1]
{{1},{2,6,7},{3,4},{5}} => [1,3,2,1]
{{1},{2,6},{3,4,7},{5}} => [1,2,3,1]
{{1},{2,6},{3,4},{5,7}} => [1,2,2,2]
{{1},{2,6},{3,4},{5},{7}} => [1,2,2,1,1]
{{1,7},{2},{3,4,6},{5}} => [2,1,3,1]
{{1},{2,7},{3,4,6},{5}} => [1,2,3,1]
{{1},{2},{3,4,6,7},{5}} => [1,1,4,1]
{{1},{2},{3,4,6},{5,7}} => [1,1,3,2]
{{1},{2},{3,4,6},{5},{7}} => [1,1,3,1,1]
{{1,7},{2},{3,4},{5,6}} => [2,1,2,2]
{{1},{2,7},{3,4},{5,6}} => [1,2,2,2]
{{1},{2},{3,4,7},{5,6}} => [1,1,3,2]
{{1},{2},{3,4},{5,6,7}} => [1,1,2,3]
{{1},{2},{3,4},{5,6},{7}} => [1,1,2,2,1]
{{1,7},{2},{3,4},{5},{6}} => [2,1,2,1,1]
{{1},{2,7},{3,4},{5},{6}} => [1,2,2,1,1]
{{1},{2},{3,4,7},{5},{6}} => [1,1,3,1,1]
{{1},{2},{3,4},{5,7},{6}} => [1,1,2,2,1]
{{1},{2},{3,4},{5},{6,7}} => [1,1,2,1,2]
{{1},{2},{3,4},{5},{6},{7}} => [1,1,2,1,1,1]
{{1,5,6,7},{2},{3},{4}} => [4,1,1,1]
{{1,5,6},{2,7},{3},{4}} => [3,2,1,1]
{{1,5,6},{2},{3,7},{4}} => [3,1,2,1]
{{1,5,6},{2},{3},{4,7}} => [3,1,1,2]
{{1,5,6},{2},{3},{4},{7}} => [3,1,1,1,1]
{{1,5,7},{2,6},{3},{4}} => [3,2,1,1]
{{1,5},{2,6,7},{3},{4}} => [2,3,1,1]
{{1,5},{2,6},{3,7},{4}} => [2,2,2,1]
{{1,5},{2,6},{3},{4,7}} => [2,2,1,2]
{{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1]
{{1,5,7},{2},{3,6},{4}} => [3,1,2,1]
{{1,5},{2,7},{3,6},{4}} => [2,2,2,1]
{{1,5},{2},{3,6,7},{4}} => [2,1,3,1]
{{1,5},{2},{3,6},{4,7}} => [2,1,2,2]
{{1,5},{2},{3,6},{4},{7}} => [2,1,2,1,1]
{{1,5,7},{2},{3},{4,6}} => [3,1,1,2]
{{1,5},{2,7},{3},{4,6}} => [2,2,1,2]
{{1,5},{2},{3,7},{4,6}} => [2,1,2,2]
{{1,5},{2},{3},{4,6,7}} => [2,1,1,3]
{{1,5},{2},{3},{4,6},{7}} => [2,1,1,2,1]
{{1,5,7},{2},{3},{4},{6}} => [3,1,1,1,1]
{{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1]
{{1,5},{2},{3,7},{4},{6}} => [2,1,2,1,1]
{{1,5},{2},{3},{4,7},{6}} => [2,1,1,2,1]
{{1,5},{2},{3},{4},{6,7}} => [2,1,1,1,2]
{{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1]
{{1,6,7},{2,5},{3},{4}} => [3,2,1,1]
{{1,6},{2,5,7},{3},{4}} => [2,3,1,1]
{{1,6},{2,5},{3,7},{4}} => [2,2,2,1]
{{1,6},{2,5},{3},{4,7}} => [2,2,1,2]
{{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1]
{{1,7},{2,5,6},{3},{4}} => [2,3,1,1]
{{1},{2,5,6,7},{3},{4}} => [1,4,1,1]
{{1},{2,5,6},{3,7},{4}} => [1,3,2,1]
{{1},{2,5,6},{3},{4,7}} => [1,3,1,2]
{{1},{2,5,6},{3},{4},{7}} => [1,3,1,1,1]
{{1,7},{2,5},{3,6},{4}} => [2,2,2,1]
{{1},{2,5,7},{3,6},{4}} => [1,3,2,1]
{{1},{2,5},{3,6,7},{4}} => [1,2,3,1]
{{1},{2,5},{3,6},{4,7}} => [1,2,2,2]
{{1},{2,5},{3,6},{4},{7}} => [1,2,2,1,1]
{{1,7},{2,5},{3},{4,6}} => [2,2,1,2]
{{1},{2,5,7},{3},{4,6}} => [1,3,1,2]
{{1},{2,5},{3,7},{4,6}} => [1,2,2,2]
{{1},{2,5},{3},{4,6,7}} => [1,2,1,3]
{{1},{2,5},{3},{4,6},{7}} => [1,2,1,2,1]
{{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1]
{{1},{2,5,7},{3},{4},{6}} => [1,3,1,1,1]
{{1},{2,5},{3,7},{4},{6}} => [1,2,2,1,1]
{{1},{2,5},{3},{4,7},{6}} => [1,2,1,2,1]
{{1},{2,5},{3},{4},{6,7}} => [1,2,1,1,2]
{{1},{2,5},{3},{4},{6},{7}} => [1,2,1,1,1,1]
{{1,6,7},{2},{3,5},{4}} => [3,1,2,1]
{{1,6},{2,7},{3,5},{4}} => [2,2,2,1]
{{1,6},{2},{3,5,7},{4}} => [2,1,3,1]
{{1,6},{2},{3,5},{4,7}} => [2,1,2,2]
{{1,6},{2},{3,5},{4},{7}} => [2,1,2,1,1]
{{1,7},{2,6},{3,5},{4}} => [2,2,2,1]
{{1},{2,6,7},{3,5},{4}} => [1,3,2,1]
{{1},{2,6},{3,5,7},{4}} => [1,2,3,1]
{{1},{2,6},{3,5},{4,7}} => [1,2,2,2]
{{1},{2,6},{3,5},{4},{7}} => [1,2,2,1,1]
{{1,7},{2},{3,5,6},{4}} => [2,1,3,1]
{{1},{2,7},{3,5,6},{4}} => [1,2,3,1]
{{1},{2},{3,5,6,7},{4}} => [1,1,4,1]
{{1},{2},{3,5,6},{4,7}} => [1,1,3,2]
{{1},{2},{3,5,6},{4},{7}} => [1,1,3,1,1]
{{1,7},{2},{3,5},{4,6}} => [2,1,2,2]
{{1},{2,7},{3,5},{4,6}} => [1,2,2,2]
{{1},{2},{3,5,7},{4,6}} => [1,1,3,2]
{{1},{2},{3,5},{4,6,7}} => [1,1,2,3]
{{1},{2},{3,5},{4,6},{7}} => [1,1,2,2,1]
{{1,7},{2},{3,5},{4},{6}} => [2,1,2,1,1]
{{1},{2,7},{3,5},{4},{6}} => [1,2,2,1,1]
{{1},{2},{3,5,7},{4},{6}} => [1,1,3,1,1]
{{1},{2},{3,5},{4,7},{6}} => [1,1,2,2,1]
{{1},{2},{3,5},{4},{6,7}} => [1,1,2,1,2]
{{1},{2},{3,5},{4},{6},{7}} => [1,1,2,1,1,1]
{{1,6,7},{2},{3},{4,5}} => [3,1,1,2]
{{1,6},{2,7},{3},{4,5}} => [2,2,1,2]
{{1,6},{2},{3,7},{4,5}} => [2,1,2,2]
{{1,6},{2},{3},{4,5,7}} => [2,1,1,3]
{{1,6},{2},{3},{4,5},{7}} => [2,1,1,2,1]
{{1,7},{2,6},{3},{4,5}} => [2,2,1,2]
{{1},{2,6,7},{3},{4,5}} => [1,3,1,2]
{{1},{2,6},{3,7},{4,5}} => [1,2,2,2]
{{1},{2,6},{3},{4,5,7}} => [1,2,1,3]
{{1},{2,6},{3},{4,5},{7}} => [1,2,1,2,1]
{{1,7},{2},{3,6},{4,5}} => [2,1,2,2]
{{1},{2,7},{3,6},{4,5}} => [1,2,2,2]
{{1},{2},{3,6,7},{4,5}} => [1,1,3,2]
{{1},{2},{3,6},{4,5,7}} => [1,1,2,3]
{{1},{2},{3,6},{4,5},{7}} => [1,1,2,2,1]
{{1,7},{2},{3},{4,5,6}} => [2,1,1,3]
{{1},{2,7},{3},{4,5,6}} => [1,2,1,3]
{{1},{2},{3,7},{4,5,6}} => [1,1,2,3]
{{1},{2},{3},{4,5,6,7}} => [1,1,1,4]
{{1},{2},{3},{4,5,6},{7}} => [1,1,1,3,1]
{{1,7},{2},{3},{4,5},{6}} => [2,1,1,2,1]
{{1},{2,7},{3},{4,5},{6}} => [1,2,1,2,1]
{{1},{2},{3,7},{4,5},{6}} => [1,1,2,2,1]
{{1},{2},{3},{4,5,7},{6}} => [1,1,1,3,1]
{{1},{2},{3},{4,5},{6,7}} => [1,1,1,2,2]
{{1},{2},{3},{4,5},{6},{7}} => [1,1,1,2,1,1]
{{1,6,7},{2},{3},{4},{5}} => [3,1,1,1,1]
{{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1]
{{1,6},{2},{3,7},{4},{5}} => [2,1,2,1,1]
{{1,6},{2},{3},{4,7},{5}} => [2,1,1,2,1]
{{1,6},{2},{3},{4},{5,7}} => [2,1,1,1,2]
{{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1]
{{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1]
{{1},{2,6,7},{3},{4},{5}} => [1,3,1,1,1]
{{1},{2,6},{3,7},{4},{5}} => [1,2,2,1,1]
{{1},{2,6},{3},{4,7},{5}} => [1,2,1,2,1]
{{1},{2,6},{3},{4},{5,7}} => [1,2,1,1,2]
{{1},{2,6},{3},{4},{5},{7}} => [1,2,1,1,1,1]
{{1,7},{2},{3,6},{4},{5}} => [2,1,2,1,1]
{{1},{2,7},{3,6},{4},{5}} => [1,2,2,1,1]
{{1},{2},{3,6,7},{4},{5}} => [1,1,3,1,1]
{{1},{2},{3,6},{4,7},{5}} => [1,1,2,2,1]
{{1},{2},{3,6},{4},{5,7}} => [1,1,2,1,2]
{{1},{2},{3,6},{4},{5},{7}} => [1,1,2,1,1,1]
{{1,7},{2},{3},{4,6},{5}} => [2,1,1,2,1]
{{1},{2,7},{3},{4,6},{5}} => [1,2,1,2,1]
{{1},{2},{3,7},{4,6},{5}} => [1,1,2,2,1]
{{1},{2},{3},{4,6,7},{5}} => [1,1,1,3,1]
{{1},{2},{3},{4,6},{5,7}} => [1,1,1,2,2]
{{1},{2},{3},{4,6},{5},{7}} => [1,1,1,2,1,1]
{{1,7},{2},{3},{4},{5,6}} => [2,1,1,1,2]
{{1},{2,7},{3},{4},{5,6}} => [1,2,1,1,2]
{{1},{2},{3,7},{4},{5,6}} => [1,1,2,1,2]
{{1},{2},{3},{4,7},{5,6}} => [1,1,1,2,2]
{{1},{2},{3},{4},{5,6,7}} => [1,1,1,1,3]
{{1},{2},{3},{4},{5,6},{7}} => [1,1,1,1,2,1]
{{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1]
{{1},{2,7},{3},{4},{5},{6}} => [1,2,1,1,1,1]
{{1},{2},{3,7},{4},{5},{6}} => [1,1,2,1,1,1]
{{1},{2},{3},{4,7},{5},{6}} => [1,1,1,2,1,1]
{{1},{2},{3},{4},{5,7},{6}} => [1,1,1,1,2,1]
{{1},{2},{3},{4},{5},{6,7}} => [1,1,1,1,1,2]
{{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1]
{{1,2},{3,4},{5,6},{7,8}} => [2,2,2,2]
{{1,3},{2,4},{5,6},{7,8}} => [2,2,2,2]
{{1,4},{2,3},{5,6},{7,8}} => [2,2,2,2]
{{1,5},{2,3},{4,6},{7,8}} => [2,2,2,2]
{{1,6},{2,3},{4,5},{7,8}} => [2,2,2,2]
{{1,7},{2,3},{4,5},{6,8}} => [2,2,2,2]
{{1,8},{2,3},{4,5},{6,7}} => [2,2,2,2]
{{1,8},{2,4},{3,5},{6,7}} => [2,2,2,2]
{{1,7},{2,4},{3,5},{6,8}} => [2,2,2,2]
{{1,6},{2,4},{3,5},{7,8}} => [2,2,2,2]
{{1,5},{2,4},{3,6},{7,8}} => [2,2,2,2]
{{1,4},{2,5},{3,6},{7,8}} => [2,2,2,2]
{{1,3},{2,5},{4,6},{7,8}} => [2,2,2,2]
{{1,2},{3,5},{4,6},{7,8}} => [2,2,2,2]
{{1,2},{3,6},{4,5},{7,8}} => [2,2,2,2]
{{1,3},{2,6},{4,5},{7,8}} => [2,2,2,2]
{{1,4},{2,6},{3,5},{7,8}} => [2,2,2,2]
{{1,5},{2,6},{3,4},{7,8}} => [2,2,2,2]
{{1,6},{2,5},{3,4},{7,8}} => [2,2,2,2]
{{1,7},{2,5},{3,4},{6,8}} => [2,2,2,2]
{{1,8},{2,5},{3,4},{6,7}} => [2,2,2,2]
{{1,8},{2,6},{3,4},{5,7}} => [2,2,2,2]
{{1,7},{2,6},{3,4},{5,8}} => [2,2,2,2]
{{1,6},{2,7},{3,4},{5,8}} => [2,2,2,2]
{{1,5},{2,7},{3,4},{6,8}} => [2,2,2,2]
{{1,4},{2,7},{3,5},{6,8}} => [2,2,2,2]
{{1,3},{2,7},{4,5},{6,8}} => [2,2,2,2]
{{1,2},{3,7},{4,5},{6,8}} => [2,2,2,2]
{{1,2},{3,8},{4,5},{6,7}} => [2,2,2,2]
{{1,3},{2,8},{4,5},{6,7}} => [2,2,2,2]
{{1,4},{2,8},{3,5},{6,7}} => [2,2,2,2]
{{1,5},{2,8},{3,4},{6,7}} => [2,2,2,2]
{{1,6},{2,8},{3,4},{5,7}} => [2,2,2,2]
{{1,7},{2,8},{3,4},{5,6}} => [2,2,2,2]
{{1,8},{2,7},{3,4},{5,6}} => [2,2,2,2]
{{1,8},{2,7},{3,5},{4,6}} => [2,2,2,2]
{{1,7},{2,8},{3,5},{4,6}} => [2,2,2,2]
{{1,6},{2,8},{3,5},{4,7}} => [2,2,2,2]
{{1,5},{2,8},{3,6},{4,7}} => [2,2,2,2]
{{1,4},{2,8},{3,6},{5,7}} => [2,2,2,2]
{{1,3},{2,8},{4,6},{5,7}} => [2,2,2,2]
{{1,2},{3,8},{4,6},{5,7}} => [2,2,2,2]
{{1,2},{3,7},{4,6},{5,8}} => [2,2,2,2]
{{1,3},{2,7},{4,6},{5,8}} => [2,2,2,2]
{{1,4},{2,7},{3,6},{5,8}} => [2,2,2,2]
-----------------------------------------------------------------------------
Created: Jan 29, 2020 at 13:27 by FindStatCrew
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Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey