Identifier
- St001075: Set partitions ⟶ ℤ
Values
=>
Cc0009;cc-rep
{{1,2}}=>2
{{1},{2}}=>1
{{1,2,3}}=>3
{{1,2},{3}}=>1
{{1,3},{2}}=>1
{{1},{2,3}}=>1
{{1},{2},{3}}=>1
{{1,2,3,4}}=>4
{{1,2,3},{4}}=>1
{{1,2,4},{3}}=>1
{{1,2},{3,4}}=>2
{{1,2},{3},{4}}=>1
{{1,3,4},{2}}=>1
{{1,3},{2,4}}=>2
{{1,3},{2},{4}}=>1
{{1,4},{2,3}}=>2
{{1},{2,3,4}}=>1
{{1},{2,3},{4}}=>1
{{1,4},{2},{3}}=>1
{{1},{2,4},{3}}=>1
{{1},{2},{3,4}}=>1
{{1},{2},{3},{4}}=>1
{{1,2,3,4,5}}=>5
{{1,2,3,4},{5}}=>1
{{1,2,3,5},{4}}=>1
{{1,2,3},{4,5}}=>2
{{1,2,3},{4},{5}}=>1
{{1,2,4,5},{3}}=>1
{{1,2,4},{3,5}}=>2
{{1,2,4},{3},{5}}=>1
{{1,2,5},{3,4}}=>2
{{1,2},{3,4,5}}=>2
{{1,2},{3,4},{5}}=>1
{{1,2,5},{3},{4}}=>1
{{1,2},{3,5},{4}}=>1
{{1,2},{3},{4,5}}=>1
{{1,2},{3},{4},{5}}=>1
{{1,3,4,5},{2}}=>1
{{1,3,4},{2,5}}=>2
{{1,3,4},{2},{5}}=>1
{{1,3,5},{2,4}}=>2
{{1,3},{2,4,5}}=>2
{{1,3},{2,4},{5}}=>1
{{1,3,5},{2},{4}}=>1
{{1,3},{2,5},{4}}=>1
{{1,3},{2},{4,5}}=>1
{{1,3},{2},{4},{5}}=>1
{{1,4,5},{2,3}}=>2
{{1,4},{2,3,5}}=>2
{{1,4},{2,3},{5}}=>1
{{1,5},{2,3,4}}=>2
{{1},{2,3,4,5}}=>1
{{1},{2,3,4},{5}}=>1
{{1,5},{2,3},{4}}=>1
{{1},{2,3,5},{4}}=>1
{{1},{2,3},{4,5}}=>1
{{1},{2,3},{4},{5}}=>1
{{1,4,5},{2},{3}}=>1
{{1,4},{2,5},{3}}=>1
{{1,4},{2},{3,5}}=>1
{{1,4},{2},{3},{5}}=>1
{{1,5},{2,4},{3}}=>1
{{1},{2,4,5},{3}}=>1
{{1},{2,4},{3,5}}=>1
{{1},{2,4},{3},{5}}=>1
{{1,5},{2},{3,4}}=>1
{{1},{2,5},{3,4}}=>1
{{1},{2},{3,4,5}}=>1
{{1},{2},{3,4},{5}}=>1
{{1,5},{2},{3},{4}}=>1
{{1},{2,5},{3},{4}}=>1
{{1},{2},{3,5},{4}}=>1
{{1},{2},{3},{4,5}}=>1
{{1},{2},{3},{4},{5}}=>1
{{1,2,3,4,5,6}}=>6
{{1,2,3,4,5},{6}}=>1
{{1,2,3,4,6},{5}}=>1
{{1,2,3,4},{5,6}}=>2
{{1,2,3,4},{5},{6}}=>1
{{1,2,3,5,6},{4}}=>1
{{1,2,3,5},{4,6}}=>2
{{1,2,3,5},{4},{6}}=>1
{{1,2,3,6},{4,5}}=>2
{{1,2,3},{4,5,6}}=>3
{{1,2,3},{4,5},{6}}=>1
{{1,2,3,6},{4},{5}}=>1
{{1,2,3},{4,6},{5}}=>1
{{1,2,3},{4},{5,6}}=>1
{{1,2,3},{4},{5},{6}}=>1
{{1,2,4,5,6},{3}}=>1
{{1,2,4,5},{3,6}}=>2
{{1,2,4,5},{3},{6}}=>1
{{1,2,4,6},{3,5}}=>2
{{1,2,4},{3,5,6}}=>3
{{1,2,4},{3,5},{6}}=>1
{{1,2,4,6},{3},{5}}=>1
{{1,2,4},{3,6},{5}}=>1
{{1,2,4},{3},{5,6}}=>1
{{1,2,4},{3},{5},{6}}=>1
{{1,2,5,6},{3,4}}=>2
{{1,2,5},{3,4,6}}=>3
{{1,2,5},{3,4},{6}}=>1
{{1,2,6},{3,4,5}}=>3
{{1,2},{3,4,5,6}}=>2
{{1,2},{3,4,5},{6}}=>1
{{1,2,6},{3,4},{5}}=>1
{{1,2},{3,4,6},{5}}=>1
{{1,2},{3,4},{5,6}}=>2
{{1,2},{3,4},{5},{6}}=>1
{{1,2,5,6},{3},{4}}=>1
{{1,2,5},{3,6},{4}}=>1
{{1,2,5},{3},{4,6}}=>1
{{1,2,5},{3},{4},{6}}=>1
{{1,2,6},{3,5},{4}}=>1
{{1,2},{3,5,6},{4}}=>1
{{1,2},{3,5},{4,6}}=>2
{{1,2},{3,5},{4},{6}}=>1
{{1,2,6},{3},{4,5}}=>1
{{1,2},{3,6},{4,5}}=>2
{{1,2},{3},{4,5,6}}=>1
{{1,2},{3},{4,5},{6}}=>1
{{1,2,6},{3},{4},{5}}=>1
{{1,2},{3,6},{4},{5}}=>1
{{1,2},{3},{4,6},{5}}=>1
{{1,2},{3},{4},{5,6}}=>1
{{1,2},{3},{4},{5},{6}}=>1
{{1,3,4,5,6},{2}}=>1
{{1,3,4,5},{2,6}}=>2
{{1,3,4,5},{2},{6}}=>1
{{1,3,4,6},{2,5}}=>2
{{1,3,4},{2,5,6}}=>3
{{1,3,4},{2,5},{6}}=>1
{{1,3,4,6},{2},{5}}=>1
{{1,3,4},{2,6},{5}}=>1
{{1,3,4},{2},{5,6}}=>1
{{1,3,4},{2},{5},{6}}=>1
{{1,3,5,6},{2,4}}=>2
{{1,3,5},{2,4,6}}=>3
{{1,3,5},{2,4},{6}}=>1
{{1,3,6},{2,4,5}}=>3
{{1,3},{2,4,5,6}}=>2
{{1,3},{2,4,5},{6}}=>1
{{1,3,6},{2,4},{5}}=>1
{{1,3},{2,4,6},{5}}=>1
{{1,3},{2,4},{5,6}}=>2
{{1,3},{2,4},{5},{6}}=>1
{{1,3,5,6},{2},{4}}=>1
{{1,3,5},{2,6},{4}}=>1
{{1,3,5},{2},{4,6}}=>1
{{1,3,5},{2},{4},{6}}=>1
{{1,3,6},{2,5},{4}}=>1
{{1,3},{2,5,6},{4}}=>1
{{1,3},{2,5},{4,6}}=>2
{{1,3},{2,5},{4},{6}}=>1
{{1,3,6},{2},{4,5}}=>1
{{1,3},{2,6},{4,5}}=>2
{{1,3},{2},{4,5,6}}=>1
{{1,3},{2},{4,5},{6}}=>1
{{1,3,6},{2},{4},{5}}=>1
{{1,3},{2,6},{4},{5}}=>1
{{1,3},{2},{4,6},{5}}=>1
{{1,3},{2},{4},{5,6}}=>1
{{1,3},{2},{4},{5},{6}}=>1
{{1,4,5,6},{2,3}}=>2
{{1,4,5},{2,3,6}}=>3
{{1,4,5},{2,3},{6}}=>1
{{1,4,6},{2,3,5}}=>3
{{1,4},{2,3,5,6}}=>2
{{1,4},{2,3,5},{6}}=>1
{{1,4,6},{2,3},{5}}=>1
{{1,4},{2,3,6},{5}}=>1
{{1,4},{2,3},{5,6}}=>2
{{1,4},{2,3},{5},{6}}=>1
{{1,5,6},{2,3,4}}=>3
{{1,5},{2,3,4,6}}=>2
{{1,5},{2,3,4},{6}}=>1
{{1,6},{2,3,4,5}}=>2
{{1},{2,3,4,5,6}}=>1
{{1},{2,3,4,5},{6}}=>1
{{1,6},{2,3,4},{5}}=>1
{{1},{2,3,4,6},{5}}=>1
{{1},{2,3,4},{5,6}}=>1
{{1},{2,3,4},{5},{6}}=>1
{{1,5,6},{2,3},{4}}=>1
{{1,5},{2,3,6},{4}}=>1
{{1,5},{2,3},{4,6}}=>2
{{1,5},{2,3},{4},{6}}=>1
{{1,6},{2,3,5},{4}}=>1
{{1},{2,3,5,6},{4}}=>1
{{1},{2,3,5},{4,6}}=>1
{{1},{2,3,5},{4},{6}}=>1
{{1,6},{2,3},{4,5}}=>2
{{1},{2,3,6},{4,5}}=>1
{{1},{2,3},{4,5,6}}=>1
{{1},{2,3},{4,5},{6}}=>1
{{1,6},{2,3},{4},{5}}=>1
{{1},{2,3,6},{4},{5}}=>1
{{1},{2,3},{4,6},{5}}=>1
{{1},{2,3},{4},{5,6}}=>1
{{1},{2,3},{4},{5},{6}}=>1
{{1,4,5,6},{2},{3}}=>1
{{1,4,5},{2,6},{3}}=>1
{{1,4,5},{2},{3,6}}=>1
{{1,4,5},{2},{3},{6}}=>1
{{1,4,6},{2,5},{3}}=>1
{{1,4},{2,5,6},{3}}=>1
{{1,4},{2,5},{3,6}}=>2
{{1,4},{2,5},{3},{6}}=>1
{{1,4,6},{2},{3,5}}=>1
{{1,4},{2,6},{3,5}}=>2
{{1,4},{2},{3,5,6}}=>1
{{1,4},{2},{3,5},{6}}=>1
{{1,4,6},{2},{3},{5}}=>1
{{1,4},{2,6},{3},{5}}=>1
{{1,4},{2},{3,6},{5}}=>1
{{1,4},{2},{3},{5,6}}=>1
{{1,4},{2},{3},{5},{6}}=>1
{{1,5,6},{2,4},{3}}=>1
{{1,5},{2,4,6},{3}}=>1
{{1,5},{2,4},{3,6}}=>2
{{1,5},{2,4},{3},{6}}=>1
{{1,6},{2,4,5},{3}}=>1
{{1},{2,4,5,6},{3}}=>1
{{1},{2,4,5},{3,6}}=>1
{{1},{2,4,5},{3},{6}}=>1
{{1,6},{2,4},{3,5}}=>2
{{1},{2,4,6},{3,5}}=>1
{{1},{2,4},{3,5,6}}=>1
{{1},{2,4},{3,5},{6}}=>1
{{1,6},{2,4},{3},{5}}=>1
{{1},{2,4,6},{3},{5}}=>1
{{1},{2,4},{3,6},{5}}=>1
{{1},{2,4},{3},{5,6}}=>1
{{1},{2,4},{3},{5},{6}}=>1
{{1,5,6},{2},{3,4}}=>1
{{1,5},{2,6},{3,4}}=>2
{{1,5},{2},{3,4,6}}=>1
{{1,5},{2},{3,4},{6}}=>1
{{1,6},{2,5},{3,4}}=>2
{{1},{2,5,6},{3,4}}=>1
{{1},{2,5},{3,4,6}}=>1
{{1},{2,5},{3,4},{6}}=>1
{{1,6},{2},{3,4,5}}=>1
{{1},{2,6},{3,4,5}}=>1
{{1},{2},{3,4,5,6}}=>1
{{1},{2},{3,4,5},{6}}=>1
{{1,6},{2},{3,4},{5}}=>1
{{1},{2,6},{3,4},{5}}=>1
{{1},{2},{3,4,6},{5}}=>1
{{1},{2},{3,4},{5,6}}=>1
{{1},{2},{3,4},{5},{6}}=>1
{{1,5,6},{2},{3},{4}}=>1
{{1,5},{2,6},{3},{4}}=>1
{{1,5},{2},{3,6},{4}}=>1
{{1,5},{2},{3},{4,6}}=>1
{{1,5},{2},{3},{4},{6}}=>1
{{1,6},{2,5},{3},{4}}=>1
{{1},{2,5,6},{3},{4}}=>1
{{1},{2,5},{3,6},{4}}=>1
{{1},{2,5},{3},{4,6}}=>1
{{1},{2,5},{3},{4},{6}}=>1
{{1,6},{2},{3,5},{4}}=>1
{{1},{2,6},{3,5},{4}}=>1
{{1},{2},{3,5,6},{4}}=>1
{{1},{2},{3,5},{4,6}}=>1
{{1},{2},{3,5},{4},{6}}=>1
{{1,6},{2},{3},{4,5}}=>1
{{1},{2,6},{3},{4,5}}=>1
{{1},{2},{3,6},{4,5}}=>1
{{1},{2},{3},{4,5,6}}=>1
{{1},{2},{3},{4,5},{6}}=>1
{{1,6},{2},{3},{4},{5}}=>1
{{1},{2,6},{3},{4},{5}}=>1
{{1},{2},{3,6},{4},{5}}=>1
{{1},{2},{3},{4,6},{5}}=>1
{{1},{2},{3},{4},{5,6}}=>1
{{1},{2},{3},{4},{5},{6}}=>1
{{1,2,3,4,5,6,7}}=>7
{{1,2,3,4,5,6},{7}}=>1
{{1,2,3,4,5,7},{6}}=>1
{{1,2,3,4,5},{6,7}}=>2
{{1,2,3,4,5},{6},{7}}=>1
{{1,2,3,4,6,7},{5}}=>1
{{1,2,3,4,6},{5,7}}=>2
{{1,2,3,4,6},{5},{7}}=>1
{{1,2,3,4,7},{5,6}}=>2
{{1,2,3,4},{5,6,7}}=>3
{{1,2,3,4},{5,6},{7}}=>1
{{1,2,3,4,7},{5},{6}}=>1
{{1,2,3,4},{5,7},{6}}=>1
{{1,2,3,4},{5},{6,7}}=>1
{{1,2,3,4},{5},{6},{7}}=>1
{{1,2,3,5,6,7},{4}}=>1
{{1,2,3,5,6},{4,7}}=>2
{{1,2,3,5,6},{4},{7}}=>1
{{1,2,3,5,7},{4,6}}=>2
{{1,2,3,5},{4,6,7}}=>3
{{1,2,3,5},{4,6},{7}}=>1
{{1,2,3,5,7},{4},{6}}=>1
{{1,2,3,5},{4,7},{6}}=>1
{{1,2,3,5},{4},{6,7}}=>1
{{1,2,3,5},{4},{6},{7}}=>1
{{1,2,3,6,7},{4,5}}=>2
{{1,2,3,6},{4,5,7}}=>3
{{1,2,3,6},{4,5},{7}}=>1
{{1,2,3,7},{4,5,6}}=>3
{{1,2,3},{4,5,6,7}}=>3
{{1,2,3},{4,5,6},{7}}=>1
{{1,2,3,7},{4,5},{6}}=>1
{{1,2,3},{4,5,7},{6}}=>1
{{1,2,3},{4,5},{6,7}}=>2
{{1,2,3},{4,5},{6},{7}}=>1
{{1,2,3,6,7},{4},{5}}=>1
{{1,2,3,6},{4,7},{5}}=>1
{{1,2,3,6},{4},{5,7}}=>1
{{1,2,3,6},{4},{5},{7}}=>1
{{1,2,3,7},{4,6},{5}}=>1
{{1,2,3},{4,6,7},{5}}=>1
{{1,2,3},{4,6},{5,7}}=>2
{{1,2,3},{4,6},{5},{7}}=>1
{{1,2,3,7},{4},{5,6}}=>1
{{1,2,3},{4,7},{5,6}}=>2
{{1,2,3},{4},{5,6,7}}=>1
{{1,2,3},{4},{5,6},{7}}=>1
{{1,2,3,7},{4},{5},{6}}=>1
{{1,2,3},{4,7},{5},{6}}=>1
{{1,2,3},{4},{5,7},{6}}=>1
{{1,2,3},{4},{5},{6,7}}=>1
{{1,2,3},{4},{5},{6},{7}}=>1
{{1,2,4,5,6,7},{3}}=>1
{{1,2,4,5,6},{3,7}}=>2
{{1,2,4,5,6},{3},{7}}=>1
{{1,2,4,5,7},{3,6}}=>2
{{1,2,4,5},{3,6,7}}=>3
{{1,2,4,5},{3,6},{7}}=>1
{{1,2,4,5,7},{3},{6}}=>1
{{1,2,4,5},{3,7},{6}}=>1
{{1,2,4,5},{3},{6,7}}=>1
{{1,2,4,5},{3},{6},{7}}=>1
{{1,2,4,6,7},{3,5}}=>2
{{1,2,4,6},{3,5,7}}=>3
{{1,2,4,6},{3,5},{7}}=>1
{{1,2,4,7},{3,5,6}}=>3
{{1,2,4},{3,5,6,7}}=>3
{{1,2,4},{3,5,6},{7}}=>1
{{1,2,4,7},{3,5},{6}}=>1
{{1,2,4},{3,5,7},{6}}=>1
{{1,2,4},{3,5},{6,7}}=>2
{{1,2,4},{3,5},{6},{7}}=>1
{{1,2,4,6,7},{3},{5}}=>1
{{1,2,4,6},{3,7},{5}}=>1
{{1,2,4,6},{3},{5,7}}=>1
{{1,2,4,6},{3},{5},{7}}=>1
{{1,2,4,7},{3,6},{5}}=>1
{{1,2,4},{3,6,7},{5}}=>1
{{1,2,4},{3,6},{5,7}}=>2
{{1,2,4},{3,6},{5},{7}}=>1
{{1,2,4,7},{3},{5,6}}=>1
{{1,2,4},{3,7},{5,6}}=>2
{{1,2,4},{3},{5,6,7}}=>1
{{1,2,4},{3},{5,6},{7}}=>1
{{1,2,4,7},{3},{5},{6}}=>1
{{1,2,4},{3,7},{5},{6}}=>1
{{1,2,4},{3},{5,7},{6}}=>1
{{1,2,4},{3},{5},{6,7}}=>1
{{1,2,4},{3},{5},{6},{7}}=>1
{{1,2,5,6,7},{3,4}}=>2
{{1,2,5,6},{3,4,7}}=>3
{{1,2,5,6},{3,4},{7}}=>1
{{1,2,5,7},{3,4,6}}=>3
{{1,2,5},{3,4,6,7}}=>3
{{1,2,5},{3,4,6},{7}}=>1
{{1,2,5,7},{3,4},{6}}=>1
{{1,2,5},{3,4,7},{6}}=>1
{{1,2,5},{3,4},{6,7}}=>2
{{1,2,5},{3,4},{6},{7}}=>1
{{1,2,6,7},{3,4,5}}=>3
{{1,2,6},{3,4,5,7}}=>3
{{1,2,6},{3,4,5},{7}}=>1
{{1,2,7},{3,4,5,6}}=>3
{{1,2},{3,4,5,6,7}}=>2
{{1,2},{3,4,5,6},{7}}=>1
{{1,2,7},{3,4,5},{6}}=>1
{{1,2},{3,4,5,7},{6}}=>1
{{1,2},{3,4,5},{6,7}}=>2
{{1,2},{3,4,5},{6},{7}}=>1
{{1,2,6,7},{3,4},{5}}=>1
{{1,2,6},{3,4,7},{5}}=>1
{{1,2,6},{3,4},{5,7}}=>2
{{1,2,6},{3,4},{5},{7}}=>1
{{1,2,7},{3,4,6},{5}}=>1
{{1,2},{3,4,6,7},{5}}=>1
{{1,2},{3,4,6},{5,7}}=>2
{{1,2},{3,4,6},{5},{7}}=>1
{{1,2,7},{3,4},{5,6}}=>2
{{1,2},{3,4,7},{5,6}}=>2
{{1,2},{3,4},{5,6,7}}=>2
{{1,2},{3,4},{5,6},{7}}=>1
{{1,2,7},{3,4},{5},{6}}=>1
{{1,2},{3,4,7},{5},{6}}=>1
{{1,2},{3,4},{5,7},{6}}=>1
{{1,2},{3,4},{5},{6,7}}=>1
{{1,2},{3,4},{5},{6},{7}}=>1
{{1,2,5,6,7},{3},{4}}=>1
{{1,2,5,6},{3,7},{4}}=>1
{{1,2,5,6},{3},{4,7}}=>1
{{1,2,5,6},{3},{4},{7}}=>1
{{1,2,5,7},{3,6},{4}}=>1
{{1,2,5},{3,6,7},{4}}=>1
{{1,2,5},{3,6},{4,7}}=>2
{{1,2,5},{3,6},{4},{7}}=>1
{{1,2,5,7},{3},{4,6}}=>1
{{1,2,5},{3,7},{4,6}}=>2
{{1,2,5},{3},{4,6,7}}=>1
{{1,2,5},{3},{4,6},{7}}=>1
{{1,2,5,7},{3},{4},{6}}=>1
{{1,2,5},{3,7},{4},{6}}=>1
{{1,2,5},{3},{4,7},{6}}=>1
{{1,2,5},{3},{4},{6,7}}=>1
{{1,2,5},{3},{4},{6},{7}}=>1
{{1,2,6,7},{3,5},{4}}=>1
{{1,2,6},{3,5,7},{4}}=>1
{{1,2,6},{3,5},{4,7}}=>2
{{1,2,6},{3,5},{4},{7}}=>1
{{1,2,7},{3,5,6},{4}}=>1
{{1,2},{3,5,6,7},{4}}=>1
{{1,2},{3,5,6},{4,7}}=>2
{{1,2},{3,5,6},{4},{7}}=>1
{{1,2,7},{3,5},{4,6}}=>2
{{1,2},{3,5,7},{4,6}}=>2
{{1,2},{3,5},{4,6,7}}=>2
{{1,2},{3,5},{4,6},{7}}=>1
{{1,2,7},{3,5},{4},{6}}=>1
{{1,2},{3,5,7},{4},{6}}=>1
{{1,2},{3,5},{4,7},{6}}=>1
{{1,2},{3,5},{4},{6,7}}=>1
{{1,2},{3,5},{4},{6},{7}}=>1
{{1,2,6,7},{3},{4,5}}=>1
{{1,2,6},{3,7},{4,5}}=>2
{{1,2,6},{3},{4,5,7}}=>1
{{1,2,6},{3},{4,5},{7}}=>1
{{1,2,7},{3,6},{4,5}}=>2
{{1,2},{3,6,7},{4,5}}=>2
{{1,2},{3,6},{4,5,7}}=>2
{{1,2},{3,6},{4,5},{7}}=>1
{{1,2,7},{3},{4,5,6}}=>1
{{1,2},{3,7},{4,5,6}}=>2
{{1,2},{3},{4,5,6,7}}=>1
{{1,2},{3},{4,5,6},{7}}=>1
{{1,2,7},{3},{4,5},{6}}=>1
{{1,2},{3,7},{4,5},{6}}=>1
{{1,2},{3},{4,5,7},{6}}=>1
{{1,2},{3},{4,5},{6,7}}=>1
{{1,2},{3},{4,5},{6},{7}}=>1
{{1,2,6,7},{3},{4},{5}}=>1
{{1,2,6},{3,7},{4},{5}}=>1
{{1,2,6},{3},{4,7},{5}}=>1
{{1,2,6},{3},{4},{5,7}}=>1
{{1,2,6},{3},{4},{5},{7}}=>1
{{1,2,7},{3,6},{4},{5}}=>1
{{1,2},{3,6,7},{4},{5}}=>1
{{1,2},{3,6},{4,7},{5}}=>1
{{1,2},{3,6},{4},{5,7}}=>1
{{1,2},{3,6},{4},{5},{7}}=>1
{{1,2,7},{3},{4,6},{5}}=>1
{{1,2},{3,7},{4,6},{5}}=>1
{{1,2},{3},{4,6,7},{5}}=>1
{{1,2},{3},{4,6},{5,7}}=>1
{{1,2},{3},{4,6},{5},{7}}=>1
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{{1,3,4,6},{2},{5},{7}}=>1
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{{1,3,4},{2,7},{5},{6}}=>1
{{1,3,4},{2},{5,7},{6}}=>1
{{1,3,4},{2},{5},{6,7}}=>1
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{{1,3,5},{2,4},{6},{7}}=>1
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{{1,3,6},{2,4,5,7}}=>3
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{{1,3,7},{2,4,5},{6}}=>1
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{{1,3,6,7},{2,4},{5}}=>1
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{{1,3,7},{2,4,6},{5}}=>1
{{1,3},{2,4,6,7},{5}}=>1
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{{1,3},{2,4,7},{5,6}}=>2
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{{1,3},{2,4},{5,7},{6}}=>1
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{{1,3,7},{2,5},{4,6}}=>2
{{1,3},{2,5,7},{4,6}}=>2
{{1,3},{2,5},{4,6,7}}=>2
{{1,3},{2,5},{4,6},{7}}=>1
{{1,3,7},{2,5},{4},{6}}=>1
{{1,3},{2,5,7},{4},{6}}=>1
{{1,3},{2,5},{4,7},{6}}=>1
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{{1,3},{2,5},{4},{6},{7}}=>1
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{{1,3,6},{2},{4,5},{7}}=>1
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{{1,3},{2,6,7},{4,5}}=>2
{{1,3},{2,6},{4,5,7}}=>2
{{1,3},{2,6},{4,5},{7}}=>1
{{1,3,7},{2},{4,5,6}}=>1
{{1,3},{2,7},{4,5,6}}=>2
{{1,3},{2},{4,5,6,7}}=>1
{{1,3},{2},{4,5,6},{7}}=>1
{{1,3,7},{2},{4,5},{6}}=>1
{{1,3},{2,7},{4,5},{6}}=>1
{{1,3},{2},{4,5,7},{6}}=>1
{{1,3},{2},{4,5},{6,7}}=>1
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{{1,3},{2,6},{4,7},{5}}=>1
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{{1,3,7},{2},{4,6},{5}}=>1
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{{1,3},{2},{4,7},{5,6}}=>1
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{{1,4,6},{2,3,5,7}}=>3
{{1,4,6},{2,3,5},{7}}=>1
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{{1,4,7},{2,3,5},{6}}=>1
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{{1,4},{2,3,6},{5},{7}}=>1
{{1,4,7},{2,3},{5,6}}=>2
{{1,4},{2,3,7},{5,6}}=>2
{{1,4},{2,3},{5,6,7}}=>2
{{1,4},{2,3},{5,6},{7}}=>1
{{1,4,7},{2,3},{5},{6}}=>1
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{{1,4},{2,3},{5,7},{6}}=>1
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{{1,5,6},{2,3,4,7}}=>3
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{{1},{2,3,4,5,6,7}}=>1
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{{1},{2,3,4,5,7},{6}}=>1
{{1},{2,3,4,5},{6,7}}=>1
{{1},{2,3,4,5},{6},{7}}=>1
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{{1},{2,3,4,6,7},{5}}=>1
{{1},{2,3,4,6},{5,7}}=>1
{{1},{2,3,4,6},{5},{7}}=>1
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{{1},{2,3,4,7},{5,6}}=>1
{{1},{2,3,4},{5,6,7}}=>1
{{1},{2,3,4},{5,6},{7}}=>1
{{1,7},{2,3,4},{5},{6}}=>1
{{1},{2,3,4,7},{5},{6}}=>1
{{1},{2,3,4},{5,7},{6}}=>1
{{1},{2,3,4},{5},{6,7}}=>1
{{1},{2,3,4},{5},{6},{7}}=>1
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{{1,5},{2,3},{4,7},{6}}=>1
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{{1},{2,3,5,6,7},{4}}=>1
{{1},{2,3,5,6},{4,7}}=>1
{{1},{2,3,5,6},{4},{7}}=>1
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{{1},{2,3,5,7},{4,6}}=>1
{{1},{2,3,5},{4,6,7}}=>1
{{1},{2,3,5},{4,6},{7}}=>1
{{1,7},{2,3,5},{4},{6}}=>1
{{1},{2,3,5,7},{4},{6}}=>1
{{1},{2,3,5},{4,7},{6}}=>1
{{1},{2,3,5},{4},{6,7}}=>1
{{1},{2,3,5},{4},{6},{7}}=>1
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{{1},{2,3,6,7},{4,5}}=>1
{{1},{2,3,6},{4,5,7}}=>1
{{1},{2,3,6},{4,5},{7}}=>1
{{1,7},{2,3},{4,5,6}}=>2
{{1},{2,3,7},{4,5,6}}=>1
{{1},{2,3},{4,5,6,7}}=>1
{{1},{2,3},{4,5,6},{7}}=>1
{{1,7},{2,3},{4,5},{6}}=>1
{{1},{2,3,7},{4,5},{6}}=>1
{{1},{2,3},{4,5,7},{6}}=>1
{{1},{2,3},{4,5},{6,7}}=>1
{{1},{2,3},{4,5},{6},{7}}=>1
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{{1},{2,3,6,7},{4},{5}}=>1
{{1},{2,3,6},{4,7},{5}}=>1
{{1},{2,3,6},{4},{5,7}}=>1
{{1},{2,3,6},{4},{5},{7}}=>1
{{1,7},{2,3},{4,6},{5}}=>1
{{1},{2,3,7},{4,6},{5}}=>1
{{1},{2,3},{4,6,7},{5}}=>1
{{1},{2,3},{4,6},{5,7}}=>1
{{1},{2,3},{4,6},{5},{7}}=>1
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{{1},{2,3,7},{4},{5,6}}=>1
{{1},{2,3},{4,7},{5,6}}=>1
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{{1},{2,3},{4},{5,6},{7}}=>1
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{{1},{2,3,7},{4},{5},{6}}=>1
{{1},{2,3},{4,7},{5},{6}}=>1
{{1},{2,3},{4},{5,7},{6}}=>1
{{1},{2,3},{4},{5},{6,7}}=>1
{{1},{2,3},{4},{5},{6},{7}}=>1
{{1,4,5,6,7},{2},{3}}=>1
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{{1,4,5},{2},{3,7},{6}}=>1
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{{1,4,7},{2,5},{3},{6}}=>1
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{{1,5,7},{2,4},{3},{6}}=>1
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{{1,5},{2,4},{3,7},{6}}=>1
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{{1},{2,4,5,6,7},{3}}=>1
{{1},{2,4,5,6},{3,7}}=>1
{{1},{2,4,5,6},{3},{7}}=>1
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{{1},{2,4,5,7},{3,6}}=>1
{{1},{2,4,5},{3,6,7}}=>1
{{1},{2,4,5},{3,6},{7}}=>1
{{1,7},{2,4,5},{3},{6}}=>1
{{1},{2,4,5,7},{3},{6}}=>1
{{1},{2,4,5},{3,7},{6}}=>1
{{1},{2,4,5},{3},{6,7}}=>1
{{1},{2,4,5},{3},{6},{7}}=>1
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{{1,6},{2,4},{3,5,7}}=>2
{{1,6},{2,4},{3,5},{7}}=>1
{{1,7},{2,4,6},{3,5}}=>2
{{1},{2,4,6,7},{3,5}}=>1
{{1},{2,4,6},{3,5,7}}=>1
{{1},{2,4,6},{3,5},{7}}=>1
{{1,7},{2,4},{3,5,6}}=>2
{{1},{2,4,7},{3,5,6}}=>1
{{1},{2,4},{3,5,6,7}}=>1
{{1},{2,4},{3,5,6},{7}}=>1
{{1,7},{2,4},{3,5},{6}}=>1
{{1},{2,4,7},{3,5},{6}}=>1
{{1},{2,4},{3,5,7},{6}}=>1
{{1},{2,4},{3,5},{6,7}}=>1
{{1},{2,4},{3,5},{6},{7}}=>1
{{1,6,7},{2,4},{3},{5}}=>1
{{1,6},{2,4,7},{3},{5}}=>1
{{1,6},{2,4},{3,7},{5}}=>1
{{1,6},{2,4},{3},{5,7}}=>1
{{1,6},{2,4},{3},{5},{7}}=>1
{{1,7},{2,4,6},{3},{5}}=>1
{{1},{2,4,6,7},{3},{5}}=>1
{{1},{2,4,6},{3,7},{5}}=>1
{{1},{2,4,6},{3},{5,7}}=>1
{{1},{2,4,6},{3},{5},{7}}=>1
{{1,7},{2,4},{3,6},{5}}=>1
{{1},{2,4,7},{3,6},{5}}=>1
{{1},{2,4},{3,6,7},{5}}=>1
{{1},{2,4},{3,6},{5,7}}=>1
{{1},{2,4},{3,6},{5},{7}}=>1
{{1,7},{2,4},{3},{5,6}}=>1
{{1},{2,4,7},{3},{5,6}}=>1
{{1},{2,4},{3,7},{5,6}}=>1
{{1},{2,4},{3},{5,6,7}}=>1
{{1},{2,4},{3},{5,6},{7}}=>1
{{1,7},{2,4},{3},{5},{6}}=>1
{{1},{2,4,7},{3},{5},{6}}=>1
{{1},{2,4},{3,7},{5},{6}}=>1
{{1},{2,4},{3},{5,7},{6}}=>1
{{1},{2,4},{3},{5},{6,7}}=>1
{{1},{2,4},{3},{5},{6},{7}}=>1
{{1,5,6,7},{2},{3,4}}=>1
{{1,5,6},{2,7},{3,4}}=>2
{{1,5,6},{2},{3,4,7}}=>1
{{1,5,6},{2},{3,4},{7}}=>1
{{1,5,7},{2,6},{3,4}}=>2
{{1,5},{2,6,7},{3,4}}=>2
{{1,5},{2,6},{3,4,7}}=>2
{{1,5},{2,6},{3,4},{7}}=>1
{{1,5,7},{2},{3,4,6}}=>1
{{1,5},{2,7},{3,4,6}}=>2
{{1,5},{2},{3,4,6,7}}=>1
{{1,5},{2},{3,4,6},{7}}=>1
{{1,5,7},{2},{3,4},{6}}=>1
{{1,5},{2,7},{3,4},{6}}=>1
{{1,5},{2},{3,4,7},{6}}=>1
{{1,5},{2},{3,4},{6,7}}=>1
{{1,5},{2},{3,4},{6},{7}}=>1
{{1,6,7},{2,5},{3,4}}=>2
{{1,6},{2,5,7},{3,4}}=>2
{{1,6},{2,5},{3,4,7}}=>2
{{1,6},{2,5},{3,4},{7}}=>1
{{1,7},{2,5,6},{3,4}}=>2
{{1},{2,5,6,7},{3,4}}=>1
{{1},{2,5,6},{3,4,7}}=>1
{{1},{2,5,6},{3,4},{7}}=>1
{{1,7},{2,5},{3,4,6}}=>2
{{1},{2,5,7},{3,4,6}}=>1
{{1},{2,5},{3,4,6,7}}=>1
{{1},{2,5},{3,4,6},{7}}=>1
{{1,7},{2,5},{3,4},{6}}=>1
{{1},{2,5,7},{3,4},{6}}=>1
{{1},{2,5},{3,4,7},{6}}=>1
{{1},{2,5},{3,4},{6,7}}=>1
{{1},{2,5},{3,4},{6},{7}}=>1
{{1,6,7},{2},{3,4,5}}=>1
{{1,6},{2,7},{3,4,5}}=>2
{{1,6},{2},{3,4,5,7}}=>1
{{1,6},{2},{3,4,5},{7}}=>1
{{1,7},{2,6},{3,4,5}}=>2
{{1},{2,6,7},{3,4,5}}=>1
{{1},{2,6},{3,4,5,7}}=>1
{{1},{2,6},{3,4,5},{7}}=>1
{{1,7},{2},{3,4,5,6}}=>1
{{1},{2,7},{3,4,5,6}}=>1
{{1},{2},{3,4,5,6,7}}=>1
{{1},{2},{3,4,5,6},{7}}=>1
{{1,7},{2},{3,4,5},{6}}=>1
{{1},{2,7},{3,4,5},{6}}=>1
{{1},{2},{3,4,5,7},{6}}=>1
{{1},{2},{3,4,5},{6,7}}=>1
{{1},{2},{3,4,5},{6},{7}}=>1
{{1,6,7},{2},{3,4},{5}}=>1
{{1,6},{2,7},{3,4},{5}}=>1
{{1,6},{2},{3,4,7},{5}}=>1
{{1,6},{2},{3,4},{5,7}}=>1
{{1,6},{2},{3,4},{5},{7}}=>1
{{1,7},{2,6},{3,4},{5}}=>1
{{1},{2,6,7},{3,4},{5}}=>1
{{1},{2,6},{3,4,7},{5}}=>1
{{1},{2,6},{3,4},{5,7}}=>1
{{1},{2,6},{3,4},{5},{7}}=>1
{{1,7},{2},{3,4,6},{5}}=>1
{{1},{2,7},{3,4,6},{5}}=>1
{{1},{2},{3,4,6,7},{5}}=>1
{{1},{2},{3,4,6},{5,7}}=>1
{{1},{2},{3,4,6},{5},{7}}=>1
{{1,7},{2},{3,4},{5,6}}=>1
{{1},{2,7},{3,4},{5,6}}=>1
{{1},{2},{3,4,7},{5,6}}=>1
{{1},{2},{3,4},{5,6,7}}=>1
{{1},{2},{3,4},{5,6},{7}}=>1
{{1,7},{2},{3,4},{5},{6}}=>1
{{1},{2,7},{3,4},{5},{6}}=>1
{{1},{2},{3,4,7},{5},{6}}=>1
{{1},{2},{3,4},{5,7},{6}}=>1
{{1},{2},{3,4},{5},{6,7}}=>1
{{1},{2},{3,4},{5},{6},{7}}=>1
{{1,5,6,7},{2},{3},{4}}=>1
{{1,5,6},{2,7},{3},{4}}=>1
{{1,5,6},{2},{3,7},{4}}=>1
{{1,5,6},{2},{3},{4,7}}=>1
{{1,5,6},{2},{3},{4},{7}}=>1
{{1,5,7},{2,6},{3},{4}}=>1
{{1,5},{2,6,7},{3},{4}}=>1
{{1,5},{2,6},{3,7},{4}}=>1
{{1,5},{2,6},{3},{4,7}}=>1
{{1,5},{2,6},{3},{4},{7}}=>1
{{1,5,7},{2},{3,6},{4}}=>1
{{1,5},{2,7},{3,6},{4}}=>1
{{1,5},{2},{3,6,7},{4}}=>1
{{1,5},{2},{3,6},{4,7}}=>1
{{1,5},{2},{3,6},{4},{7}}=>1
{{1,5,7},{2},{3},{4,6}}=>1
{{1,5},{2,7},{3},{4,6}}=>1
{{1,5},{2},{3,7},{4,6}}=>1
{{1,5},{2},{3},{4,6,7}}=>1
{{1,5},{2},{3},{4,6},{7}}=>1
{{1,5,7},{2},{3},{4},{6}}=>1
{{1,5},{2,7},{3},{4},{6}}=>1
{{1,5},{2},{3,7},{4},{6}}=>1
{{1,5},{2},{3},{4,7},{6}}=>1
{{1,5},{2},{3},{4},{6,7}}=>1
{{1,5},{2},{3},{4},{6},{7}}=>1
{{1,6,7},{2,5},{3},{4}}=>1
{{1,6},{2,5,7},{3},{4}}=>1
{{1,6},{2,5},{3,7},{4}}=>1
{{1,6},{2,5},{3},{4,7}}=>1
{{1,6},{2,5},{3},{4},{7}}=>1
{{1,7},{2,5,6},{3},{4}}=>1
{{1},{2,5,6,7},{3},{4}}=>1
{{1},{2,5,6},{3,7},{4}}=>1
{{1},{2,5,6},{3},{4,7}}=>1
{{1},{2,5,6},{3},{4},{7}}=>1
{{1,7},{2,5},{3,6},{4}}=>1
{{1},{2,5,7},{3,6},{4}}=>1
{{1},{2,5},{3,6,7},{4}}=>1
{{1},{2,5},{3,6},{4,7}}=>1
{{1},{2,5},{3,6},{4},{7}}=>1
{{1,7},{2,5},{3},{4,6}}=>1
{{1},{2,5,7},{3},{4,6}}=>1
{{1},{2,5},{3,7},{4,6}}=>1
{{1},{2,5},{3},{4,6,7}}=>1
{{1},{2,5},{3},{4,6},{7}}=>1
{{1,7},{2,5},{3},{4},{6}}=>1
{{1},{2,5,7},{3},{4},{6}}=>1
{{1},{2,5},{3,7},{4},{6}}=>1
{{1},{2,5},{3},{4,7},{6}}=>1
{{1},{2,5},{3},{4},{6,7}}=>1
{{1},{2,5},{3},{4},{6},{7}}=>1
{{1,6,7},{2},{3,5},{4}}=>1
{{1,6},{2,7},{3,5},{4}}=>1
{{1,6},{2},{3,5,7},{4}}=>1
{{1,6},{2},{3,5},{4,7}}=>1
{{1,6},{2},{3,5},{4},{7}}=>1
{{1,7},{2,6},{3,5},{4}}=>1
{{1},{2,6,7},{3,5},{4}}=>1
{{1},{2,6},{3,5,7},{4}}=>1
{{1},{2,6},{3,5},{4,7}}=>1
{{1},{2,6},{3,5},{4},{7}}=>1
{{1,7},{2},{3,5,6},{4}}=>1
{{1},{2,7},{3,5,6},{4}}=>1
{{1},{2},{3,5,6,7},{4}}=>1
{{1},{2},{3,5,6},{4,7}}=>1
{{1},{2},{3,5,6},{4},{7}}=>1
{{1,7},{2},{3,5},{4,6}}=>1
{{1},{2,7},{3,5},{4,6}}=>1
{{1},{2},{3,5,7},{4,6}}=>1
{{1},{2},{3,5},{4,6,7}}=>1
{{1},{2},{3,5},{4,6},{7}}=>1
{{1,7},{2},{3,5},{4},{6}}=>1
{{1},{2,7},{3,5},{4},{6}}=>1
{{1},{2},{3,5,7},{4},{6}}=>1
{{1},{2},{3,5},{4,7},{6}}=>1
{{1},{2},{3,5},{4},{6,7}}=>1
{{1},{2},{3,5},{4},{6},{7}}=>1
{{1,6,7},{2},{3},{4,5}}=>1
{{1,6},{2,7},{3},{4,5}}=>1
{{1,6},{2},{3,7},{4,5}}=>1
{{1,6},{2},{3},{4,5,7}}=>1
{{1,6},{2},{3},{4,5},{7}}=>1
{{1,7},{2,6},{3},{4,5}}=>1
{{1},{2,6,7},{3},{4,5}}=>1
{{1},{2,6},{3,7},{4,5}}=>1
{{1},{2,6},{3},{4,5,7}}=>1
{{1},{2,6},{3},{4,5},{7}}=>1
{{1,7},{2},{3,6},{4,5}}=>1
{{1},{2,7},{3,6},{4,5}}=>1
{{1},{2},{3,6,7},{4,5}}=>1
{{1},{2},{3,6},{4,5,7}}=>1
{{1},{2},{3,6},{4,5},{7}}=>1
{{1,7},{2},{3},{4,5,6}}=>1
{{1},{2,7},{3},{4,5,6}}=>1
{{1},{2},{3,7},{4,5,6}}=>1
{{1},{2},{3},{4,5,6,7}}=>1
{{1},{2},{3},{4,5,6},{7}}=>1
{{1,7},{2},{3},{4,5},{6}}=>1
{{1},{2,7},{3},{4,5},{6}}=>1
{{1},{2},{3,7},{4,5},{6}}=>1
{{1},{2},{3},{4,5,7},{6}}=>1
{{1},{2},{3},{4,5},{6,7}}=>1
{{1},{2},{3},{4,5},{6},{7}}=>1
{{1,6,7},{2},{3},{4},{5}}=>1
{{1,6},{2,7},{3},{4},{5}}=>1
{{1,6},{2},{3,7},{4},{5}}=>1
{{1,6},{2},{3},{4,7},{5}}=>1
{{1,6},{2},{3},{4},{5,7}}=>1
{{1,6},{2},{3},{4},{5},{7}}=>1
{{1,7},{2,6},{3},{4},{5}}=>1
{{1},{2,6,7},{3},{4},{5}}=>1
{{1},{2,6},{3,7},{4},{5}}=>1
{{1},{2,6},{3},{4,7},{5}}=>1
{{1},{2,6},{3},{4},{5,7}}=>1
{{1},{2,6},{3},{4},{5},{7}}=>1
{{1,7},{2},{3,6},{4},{5}}=>1
{{1},{2,7},{3,6},{4},{5}}=>1
{{1},{2},{3,6,7},{4},{5}}=>1
{{1},{2},{3,6},{4,7},{5}}=>1
{{1},{2},{3,6},{4},{5,7}}=>1
{{1},{2},{3,6},{4},{5},{7}}=>1
{{1,7},{2},{3},{4,6},{5}}=>1
{{1},{2,7},{3},{4,6},{5}}=>1
{{1},{2},{3,7},{4,6},{5}}=>1
{{1},{2},{3},{4,6,7},{5}}=>1
{{1},{2},{3},{4,6},{5,7}}=>1
{{1},{2},{3},{4,6},{5},{7}}=>1
{{1,7},{2},{3},{4},{5,6}}=>1
{{1},{2,7},{3},{4},{5,6}}=>1
{{1},{2},{3,7},{4},{5,6}}=>1
{{1},{2},{3},{4,7},{5,6}}=>1
{{1},{2},{3},{4},{5,6,7}}=>1
{{1},{2},{3},{4},{5,6},{7}}=>1
{{1,7},{2},{3},{4},{5},{6}}=>1
{{1},{2,7},{3},{4},{5},{6}}=>1
{{1},{2},{3,7},{4},{5},{6}}=>1
{{1},{2},{3},{4,7},{5},{6}}=>1
{{1},{2},{3},{4},{5,7},{6}}=>1
{{1},{2},{3},{4},{5},{6,7}}=>1
{{1},{2},{3},{4},{5},{6},{7}}=>1
{{1},{2},{3,4,5,6,7,8}}=>1
{{1},{2,4,5,6,7,8},{3}}=>1
{{1},{2,3,5,6,7,8},{4}}=>1
{{1},{2,3,4,6,7,8},{5}}=>1
{{1},{2,3,4,5,7,8},{6}}=>1
{{1},{2,3,4,5,6,7},{8}}=>1
{{1},{2,3,4,5,6,8},{7}}=>1
{{1},{2,3,4,5,6,7,8}}=>1
{{1,2},{3,4,5,6,7,8}}=>2
{{1,4,5,6,7,8},{2},{3}}=>1
{{1,3,5,6,7,8},{2},{4}}=>1
{{1,3,4,5,6,7,8},{2}}=>1
{{1,4,5,6,7,8},{2,3}}=>2
{{1,2,4,5,6,7,8},{3}}=>1
{{1,2,5,6,7,8},{3,4}}=>2
{{1,2,3,5,6,7,8},{4}}=>1
{{1,2,3,6,7,8},{4,5}}=>2
{{1,2,3,4,6,7,8},{5}}=>1
{{1,2,3,4,5,6},{7,8}}=>2
{{1,2,3,4,7,8},{5,6}}=>2
{{1,2,3,4,5,7,8},{6}}=>1
{{1,2,3,4,5,6,7},{8}}=>1
{{1,8},{2,3,4,5,6,7}}=>2
{{1,2,3,4,5,8},{6,7}}=>2
{{1,2,3,4,5,6,8},{7}}=>1
{{1,2,3,4,5,6,7,8}}=>8
{{1,3,5,6,7,8},{2,4}}=>2
{{1,3,4,6,7,8},{2,5}}=>2
{{1,2,4,6,7,8},{3,5}}=>2
{{1,3,4,5,7,8},{2,6}}=>2
{{1,2,4,5,7,8},{3,6}}=>2
{{1,2,3,5,7,8},{4,6}}=>2
{{1,3,4,5,6,8},{2,7}}=>2
{{1,2,4,5,6,8},{3,7}}=>2
{{1,2,3,5,6,8},{4,7}}=>2
{{1,2,3,4,6,8},{5,7}}=>2
{{1,3,4,5,6,7},{2,8}}=>2
{{1,2,4,5,6,7},{3,8}}=>2
{{1,2,3,5,6,7},{4,8}}=>2
{{1,2,3,4,6,7},{5,8}}=>2
{{1,2,3,4,5,7},{6,8}}=>2
{{1,3},{2,4,5,6,7,8}}=>2
{{1,4},{2,3,5,6,7,8}}=>2
{{1,5},{2,3,4,6,7,8}}=>2
{{1,6},{2,3,4,5,7,8}}=>2
{{1,7},{2,3,4,5,6,8}}=>2
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Description
The minimal size of a block of a set partition.
Code
def statistic(SP): return min(map(len,SP))
Created
Dec 21, 2017 at 10:02 by Christian Stump
Updated
Dec 21, 2017 at 10:02 by Christian Stump
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