function stableMatching { Initialize all m M and w W to free while free man m who still has a woman w to propose to { w = m's highest ranked such woman if w is free engage (m, w) else some pair (m', w) already exists if w prefers m to m' (m, w) become married m' becomes free else (m', w) remain married } } ... but anyway it just proves that beauty just makes everyone unhappy.