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2013-10-27T23:21:40.390
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Let me first answer on a math point of view. From my understanding, you have two finite sets (happily the number of human beings on earth is finite ... Hugh). The first one, which I will denote Sw is the set of women (ladies first guys !). The second is the men's one : Sm. Now, you want to pair women from Sw with men from Sm. The cardinal number of each set is not guaranteed to be the same. I will denote them i = |Si|, where i ∈ {w, m}. Suppose we have w > m (heh heh), then all you have to do is to choose a subset Sw,m of m women amongst the w that are in Sw (there are w! / ((w - m)!.m!) such subsets) and then set up a bijection between Sm and Sw,m. There are m! such bijections. Then you extend the bijection by setting the other women to the single status (which is <code>-1</code> if I got it right). From now on, you have two possibilities : <ul> <li>Generate one such "extended bijection" p and bind man i with women p(i) (the leftover poor little women to status <code>-1</code>).</li> <li>You are given the two sets partially "paired" and you want to pair remaining singles as much as possible.</li> </ul> Before I go further, can you tell me which approach is the one that interests you ?
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singulars
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1. POStable Marriage Algorithm in C
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1. USRerito
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1. USRerito
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