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Poster Name:
Actually

Poster Message:
The power doesn't "flip." The algorithm matches the sororities' bid lists in order by their ranking of pnm's, not the other way around. Pnm's are not guaranteed their first choice house. If your first choice house has you high enough on their list to match with you before they get to quota, then you get that bid. If not, the algorithm will match you with your second choice house if you are high enough on their bid list before they reach quota. If you are not high enough on a bid list to match with a house then you will get a bid to either as a quota addition, so rank all houses where you attend pref, otherwise if you don't get matched you will not get a bid.