How can I maximally partition a set?

Posted by Gregory Higley on Stack Overflow See other posts from Stack Overflow or by Gregory Higley
Published on 2009-10-24T18:25:47Z Indexed on 2010/05/01 0:17 UTC
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I'm trying to solve one of the Project Euler problems. As a consequence, I need an algorithm that will help me find all possible partitions of a set, in any order.

For instance, given the set 2 3 3 5:

2 | 3 3 5
2 | 3 | 3 5
2 | 3 3 | 5
2 | 3 | 3 | 5
2 5 | 3 3

and so on. Pretty much every possible combination of the members of the set. I've searched the net of course, but haven't found much that's directly useful to me, since I speak programmer-ese not advanced-math-ese.

Can anyone help me out with this? I can read pretty much any programming language, from BASIC to Haskell, so post in whatever language you wish.

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