Trying to generate all sequences of specified numbers up to a max sum

Posted by Stecy on Stack Overflow See other posts from Stack Overflow or by Stecy
Published on 2010-04-07T17:08:09Z Indexed on 2010/04/07 17:13 UTC
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LINQ

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c#

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algorithm

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sequences

Hi,

Given the following list of descending unique numbers (3,2,1) I wish to generate all the sequences consisting of those numbers up to a maximum sum.

Let's say that the sum should be below 10. Then the sequences I'm after are:

3 3 3
3 3 2 1
3 3 2
3 3 1 1 1
3 3 1 1
3 3 1
3 3
3 2 2 2
3 2 2 1 1
3 2 2 1
3 2 2
3 2 1 1 1 1
3 2 1 1 1
3 2 1 1
3 2 1
3 2
3 1 1 1 1 1 1
3 1 1 1 1 1
3 1 1 1 1
3 1 1 1
3 1 1
3 1
3
2 2 2 2 1
2 2 2 2
2 2 2 1 1 1
2 2 2 1 1
2 2 2 1
2 2 2
2 2 1 1 1 1 1
2 2 1 1 1 1
2 2 1 1 1
2 2 1 1
2 2 1
2 2
2 1 1 1 1 1 1 1
2 1 1 1 1 1 1
2 1 1 1 1 1
2 1 1 1 1
2 1 1 1
2 1 1
2 1
2
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 1
1

I'm sure that there's a "standard" way to generate this.

I thought of using linq but can't figure it out. Also, I am trying a stack based approach but I am still not successful.

Any idea?

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