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Set Partitions

What Type?
All Partitions in "lex" order [k = maximum number of blocks]   [IMG = Green Check]  
All Partitions in Gray Code order   [IMG = Green Check]  
Partitions into k blocks in "pseudo-colex" order   [IMG = Green Check]  
Partitions into k blocks in Gray Code order   [IMG = Green Check]  
Partitions with blocks of given size   [IMG = Green Check]  

Input:
n = k =
n1 = n2 = n3 = n4 = n5 =

Output:
Restricted Growth Function (RG function)   [IMG = Green Check]  
"standard" representation (List of subsets)   [IMG = Green Check]  
Show Gray code changes (if applicable)   [IMG = Green Check]  
Non-taking rooks on half-chess board   [IMG = Green Check]  

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