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Solve the Stable marriage problem using the Gale/Shapley algorithm.

Problem description Given an equal number of men and women to be paired for marriage, each man ranks all the women in order of his preference and each woman ranks all the men in order of her preference.

The worst match for any guy was fourth preference where the worst for any gal was seventh preference.

others) & out$unstable | out$stable ));┌───┬────┬───┬───┬───┬────┬───┬───┬────┬───┐│abe│bob │col│dan│ed │fred│gav│hal│ian │jon│├───┼────┼───┼───┼───┼────┼───┼───┼────┼───┤│ivy│cath│dee│fay│jan│bea │gay│eve│hope│abi│└───┴────┴───┴───┴───┴────┴───┴───┴────┴───┘┌───┬────┬───┬───┬───┬────┬───┬───┬────┬───┐│abe│bob │col│dan│ed │fred│gav│hal│ian │jon│├───┼────┼───┼───┼───┼────┼───┼───┼────┼───┤│ivy│cath│dee│fay│jan│abi │gay│eve│hope│bea│└───┴────┴───┴───┴───┴────┴───┴───┴────┴───┘ check Stable As an aside, note that the guys fared much better than the gals here, with over half of the guys getting their first preference and only one gal getting her first preference.

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This is not a direct translation of Python, but it's fairly close (especially the stability check). I've always watched him everytime he passes by the hall and his eyes often catches mine.One sunny afternoon, he came to me and asked if I could teach him that night for the exam the next day.Task Specifics Given ten males: abe: abi, eve, cath, ivy, jan, dee, fay, bea, hope, gay bob: cath, hope, abi, dee, eve, fay, bea, jan, ivy, gay col: hope, eve, abi, dee, bea, fay, ivy, gay, cath, jan dan: ivy, fay, dee, gay, hope, eve, jan, bea, cath, abi ed: jan, dee, bea, cath, fay, eve, abi, ivy, hope, gay fred: bea, abi, dee, gay, eve, ivy, cath, jan, hope, fay gav: gay, eve, ivy, bea, cath, abi, dee, hope, jan, fay hal: abi, eve, hope, fay, ivy, cath, jan, bea, gay, dee ian: hope, cath, dee, gay, bea, abi, fay, ivy, jan, eve jon: abi, fay, jan, gay, eve, bea, dee, cath, ivy, hope abi: bob, fred, jon, gav, ian, abe, dan, ed, col, hal bea: bob, abe, col, fred, gav, dan, ian, ed, jon, hal cath: fred, bob, ed, gav, hal, col, ian, abe, dan, jon dee: fred, jon, col, abe, ian, hal, gav, dan, bob, ed eve: jon, hal, fred, dan, abe, gav, col, ed, ian, bob fay: bob, abe, ed, ian, jon, dan, fred, gav, col, hal gay: jon, gav, hal, fred, bob, abe, col, ed, dan, ian hope: gav, jon, bob, abe, ian, dan, hal, ed, col, fred ivy: ian, col, hal, gav, fred, bob, abe, ed, jon, dan jan: ed, hal, gav, abe, bob, jon, col, ian, fred, dan Engagements: abi accepted abe cath accepted bob hope accepted col ivy accepted dan jan accepted ed bea accepted fred gay accepted gav eve accepted hal hope dumped col hope accepted ian abi dumped abe abi accepted jon dee accepted col ivy dumped dan ivy accepted abe fay accepted dan Couples: abi is engaged to jon bea is engaged to fred cath is engaged to bob dee is engaged to col eve is engaged to hal fay is engaged to dan gay is engaged to gav hope is engaged to ian ivy is engaged to abe jan is engaged to ed These couples are stable. Couples: abi is engaged to jon bea is engaged to fred cath is engaged to abe dee is engaged to col eve is engaged to hal fay is engaged to dan gay is engaged to gav hope is engaged to ian ivy is engaged to bob jan is engaged to ed These couples are not stable. bob is engaged to ivy but would prefer abi and abi is engaged to jon but would prefer bob bob is engaged to ivy but would prefer bea and bea is engaged to fred but would prefer bob bob is engaged to ivy but would prefer cath and cath is engaged to abe but would prefer bob bob is engaged to ivy but would prefer fay and fay is engaged to dan but would prefer bob bob is engaged to ivy but would prefer hope and hope is engaged to ian but would prefer bob HISTORY: abi ACCEPTED abe.