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I could write the software - what are you describing is a maximum cost/flow (scheduling) problem! That's my minor!
Basically what is being described is how my school does co-op rankings. It would easier for the chapters to not rank the women by order as much as in terms of 1, 2, 3 etc. You could only give as many 1s as you could invite back, but 2-3 just specifies preference if one of thethe '1s' decides to drop you. Of course, you'd have to have the option to NR - not rank (or drop). This simplifies it for the sorority (or employer) but requires more complex software algorithms.
/end geek rant.
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