Algorithm to return all possible combinations of n objects taken from different bins,[url=http://www.nikeairmaxe.co.uk/]@#$%& air max[/url]
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1) At least 1 object from each line
I feel I could solve this easier if I just tried all combinations and use the ones that have n objects and 1 from each line,[url=http://www.red-bottomshoes.us/]christian louboutin[/url], but I believe that the algorithm can be a lot more efficient than that.
I have also successfully coded an algorithm that will all combinations of 1 object per line,[url=http://www.montrepas-cher.fr/]montre homme[/url], but couldn't expand it to more. I've been coding in Python,[url=http://www.poloralphlaurenoutletonline.us@#$%&/]polo ralph[/url], but any language is fine. Extra points for consideration that python passes objects per reference. =)
Assume the matrix is squared. If anyone wants to know why,[url=http://www.canada--goose.co.uk/]@#$%&[/url], this is part of a more complex graph algorithm I'm trying to solve.
PS1: Graphs here are dictionaries of lists,[url=http://www.doudoune--moncler.fr/]moncler[/url]. n_edges is the number of edges to be picked from the graph
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PS3: In order to iterate orderly over a dictionary,[url=http://www.louboutin--pascher.fr/]louboutin @#$%&[/url], I created two lists: a list of lists representation of the graph (lol) and an index array that matches it (lolindex).
PS4: Adapted to fit the question I posted,[url=http://www.@#$%&-airmax2u@#$%&/]@#$%& air max 2013[/url], the real method I used has more problem specific code to it. A bag (or multiset) is a container that allow members to appear more than once but whose members do not have an inherent order (unlike lists).
We are looking for a function with the following signature:
set of valid combinations =
generate_combinations(list of input bags,[url=http://www.raybanit.eu/]@#$%&[/url], number of objects in valid combination)
Since it is possible that the set of valid combinations exceeds the memory available to Python,[url=http://www.lunetteoakley-pascher.fr/]oakley @#$%&[/url], generate_combinations should a generator rather than an explicit list.

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