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The worst match for any guy was fourth preference where the worst for any gal was seventh preference. x y l) (memq y (cdr (memq x l)))) (define (stable-matching Mprefs Wprefs) (define M (map car Mprefs)) (define engagements (make-hasheq)) (define preferences (make-hasheq)) (define (engage! Exchange JON with COL Pairs are Unstable: JON and ABI prefer each other.

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. abe cath bob ivy col dee dan fay ed jan fred bea gav gay hal eve ian hope jon abi uh oh 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 hope, and hope is engaged to ian but would prefer bob 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 fay, and fay is engaged to dan but would prefer bob bob is engaged to ivy but would prefer bea, and bea is engaged to fred but would prefer bob #lang racket (define MEN '([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]))(define WOMEN '([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 ])) ;; x is better than y according to the l order(define (better? preferences (car w) (cdr w))) (let loop () (define m w (for/or ([m M]) (and (not (hash-ref engagements m #f)) ; m is free (let ([p (hash-ref preferences m)]) ; can propose (and (pair? preferences m (cdr p)) ; drop w from m (cons m w))))))) (when m w (define m (car m w)) (define w (cdr m w)) (define m* (hash-ref engagements w #f)) ; m* is w's prev engagement (cond [(not m*) (engage! m m* (hash-ref preferences w)) ; w prefers m over m* (engage! engagements m* #f)]) ; m* becomes free (loop))) engagements) (define (find-unstable Mprefs Wprefs matches) (for*/or ([m (map car Mprefs)] [w (map car Wprefs)]) (define w* (hash-ref matches m)) (define m* (hash-ref matches w)) (and (not (eq? Exchange JON with BOB Pairs are Unstable: BOB and CATH prefer each other.

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fay loves jon more than dan, And jon loves fay more than bea. Engagements: abe and abi bob and cath col and hope dan and ivy ed and jan fred and bea gav and gay hope dumped col for ian abi dumped abe for jon hal and eve col and dee ivy dumped dan for abe dan and fay 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 Engagement stability check PASSED Swapping two fiances to introduce an error abi is now engaged to fred bea is now engaged to jon fay and jon like each other better than their present partners: dan and bea, respectively Engagement stability check FAILEDabe ivy bob cath col dee dan fay ed jan fred bea gav gay hal eve ian hope jon abi these couples are stable what if abe and bob swap... preferences (car m) (cdr m))) (for ([w Wprefs]) (hash-set! m m* (cdr (assq w Wprefs))) (cons m w)))) (define (check-stability) (let ([u (find-unstable MEN WOMEN matches)]) (if u (printf "Unstable: ~a and ~a prefer each other over partners.\n" (car u) (cdr u)) (printf "The match is stable.\n"))))(define matches (stable-matching MEN WOMEN))(printf "Found matches:\n")(for ([m (map car MEN)]) (printf " ~a, ~a\n" m (hash-ref matches m)))(check-stability)(let ([M (map car (take (shuffle MEN) 2))]) (printf "Swapping wives of ~a and ~a\n" (car M) (cadr M)) (define (swap! Input from task description Success at round 22 BOB matches CATH ED matches JAN FRED matches BEA GAV matches GAY IAN matches HOPE JON matches ABI HAL matches EVE ABE matches IVY COL matches DEE DAN matches FAY$ include "seed7_05.s7i"; const type: preferences is hash [string] array string;const type: engaged is hash [string] string; const func integer: pos (in array string: area, in string: searched) is func result var integer: pos is 1; begin while pos length(area) then pos := 0; end if; end func; const func engaged: matchmaker (in preferences: guy Prefers, in preferences: girl Prefers) is func result var engaged: engaged To is engaged.value; local var array string: free Guys is 0 times ""; var string: guy is ""; var string: girl is ""; var string: fiance is ""; var array string: guy Preferenc List is 0 times ""; var array string: girl Preference List is 0 times ""; var boolean: searching is TRUE; begin free Guys := sort(keys(guy Prefers)); while length(free Guys) Matchmaking: abi and abe cath and bob hope and col ivy and dan jan and ed bea and fred gay and gav eve and hal hope dumped col for ian abi dumped abe for jon dee and col ivy dumped dan for abe fay and dan Engagements: abi and jon bea and fred cath and bob dee and col eve and hal fay and dan gay and gav hope and ian ivy and abe jan and ed Marriages are stable Perturb: engage abi with fred and bea with jon bea likes fred better than jon and fred likes bea better than their current partner Marriages are unstable Matchmaking: abi and jon eve and abe bea and fred cath and bob hope and ian eve dumped abe for hal ivy and abe dee and col jan and ed fay and dan gay and gav Stablility: (all marriages stable) Perturb: engage abi with fred and bea with jon Stablility: gay prefers jon to gav and jon prefers gay to bea eve prefers jon to hal and jon prefers eve to bea fay prefers jon to dan and jon prefers fay to bea bea prefers fred to jon and fred prefers bea to abi ABI marries JON BEA marries FRED CATH marries BOB DEE marries COL EVE marries HAL FAY marries DAN GAY marries GAV HOPE marries IAN IVY marries ABE JAN marries ED Pairs are Stable Exchange JON with FRED Pairs are Unstable: FRED and BEA prefer each other.

gay loves jon more than gav, And jon loves gay more than bea. /*- REXX --------------------------------------------------------------* pref.b Preferences of boy b* pref.g Preferences of girl g* boys List of boys* girls List of girls* plist List of proposals* mlist List of (current) matches* glist List of girls to be matched* glist.b List of girls that proposed to boy b* blen maximum length of boys' names* glen maximum length of girls' names---------------------------------------------------------------------*/rexx smxa . \n")engagements[cath]:=abe; engagements[ivy]:=bobstable()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 and accepted ian abi dumped abe and accepted jon dee accepted col ivy dumped dan and 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. bob is engaged to ivy but prefers hope, while hope is engaged to ian but prefers bob. men = women = match = # finds a stable list of engagements from data as given above - ^=rrmh Pn XS ^/~&l ^/~&rl ^|Dlr HSs/~& ^Tl K2hl Pr SLPAS\~&r - ~&l K2hl Pr SXS, *=rnmih BPK12D ~&mmh Pn XNCB^rn Prm Pll SPc A\~&r ~&[email protected] -, ^|rr Plrl PXX/~& ^/~&n NAS ^/~&l ^|H\~& -: * ^|/~& - xmlns:xsl=" xmlns:fn=" xmlns:xs=" xmlns:m=" xmlns:t=" exclude-result-prefixes="xsl xs fn t m" for $g in m:maid/@name, $b in m:dude/@name, $this-interest in $maids[@name=$g]/m:interest[.=$b] return every $interest in for $other-b in $proposals[m:maid[@name=$g/m:dude/@name[. =0 then -- if she was previously engaged freemen &= dumpee -- he goes to the bottom of the list printf(1,"%s dumped %s and accepted %s\n",) else printf(1,"%s accepted %s\n",) end if engagements[fem] := man -- the new engagement is registeredend while printf(1,"\n Couples:\n")for fem=1 to length(hen) do printf(1,"%s is engaged to %s\n",)end for procedure stable()bool unstable = false for fem=1 to length(hen) do integer man = engagements[fem] for j=1 to length(hen) do if find(fem,mpref[man])find(man,hpref[j]) then if unstable=false then printf(1,"\n These couples are not stable.\n") unstable = true end if printf(1,"%s is engaged to %s but would prefer %s and %s is engaged to %s but would prefer %s\n", ) end if end for end for if not unstable then printf(1,"\n These couples are stable.\n") end ifend procedure stable()printf(1,"\n What if cath and ivy swap? 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 (setq *Boys (list (de abe abi eve cath ivy jan dee fay bea hope gay) (de bob cath hope abi dee eve fay bea jan ivy gay) (de col hope eve abi dee bea fay ivy gay cath jan) (de dan ivy fay dee gay hope eve jan bea cath abi) (de ed jan dee bea cath fay eve abi ivy hope gay) (de fred bea abi dee gay eve ivy cath jan hope fay) (de gav gay eve ivy bea cath abi dee hope jan fay) (de hal abi eve hope fay ivy cath jan bea gay dee) (de ian hope cath dee gay bea abi fay ivy jan eve) (de jon abi fay jan gay eve bea dee cath ivy hope) ) *Girls (list (de bi bob fred jon gav ian abe dan ed col hal) (de bea bob abe col fred gav dan ian ed jon hal) (de cath fred bob ed gav hal col ian abe dan jon) (de dee fred jon col abe ian hal gav dan bob ed) (de eve jon hal fred dan abe gav col ed ian bob) (de fay bob abe ed ian jon dan fred gav col hal) (de gay jon gav hal fred bob abe col ed dan ian) (de hope gav jon bob abe ian dan hal ed col fred) (de ivy ian col hal gav fred bob abe ed jon dan) (de jan ed hal gav abe bob jon col ian fred dan) ) *Couples NIL ) (bind *Boys (while (find '((Boy) (and (val Boy) (not (asoq Boy *Couples)))) *Boys ) (let (Boy @ Girl (pop Boy) Pair (find '((P) (== Girl (cdr P))) *Couples)) (nond (Pair (push '*Couples (cons Boy Girl))) # Girl is free ((memq Boy (memq (car Pair) (val Girl))) # Girl prefers Boy (set Pair Boy) ) ) ) ) ) (for Pair *Couples (prinl (cdr Pair) " is engaged to " (car Pair)) ) (de check Couples () (unless (filter '((Pair) (let (Boy (car Pair) Girl (cdr Pair)) (find '((B) (and (memq Boy (cdr (memq B (val Girl)))) # Girl prefers B (memq (cdr (asoq B *Couples)) # and B prefers Girl (cdr (memq Girl (val B))) ) (prinl Girl " likes " B " better than " Boy " and " B " likes " Girl " better than " (cdr (asoq B *Couples)) ) ) ) (val Girl) ) ) ) *Couples ) (prinl "All marriages are stable") ) ) (check Couples)(prinl)(prinl "Engage fred with abi and jon with bea")(con (asoq 'fred *Couples) 'abi)(con (asoq 'jon *Couples) 'bea)(check Couples)dee is engaged to col fay is engaged to dan eve is engaged to hal gay is engaged to gav bea is engaged to fred jan is engaged to ed ivy is engaged to abe hope is engaged to ian cath is engaged to bob abi is engaged to jon All marriages are stable Engage fred with abi and jon with bea fay likes jon better than dan and jon likes fay better than bea eve likes jon better than hal and jon likes eve better than bea gay likes jon better than gav and jon likes gay better than bea bea likes fred better than jon and fred likes bea better than abi ? abi with jon bea with fred cath with bob dee with col eve with hal fay with dan gay with gav hope with ian ivy with abe jan with ed Couples are stable perturbation of couples gay with jon abi with gav Unstable couples are couple(gav,abi) and couple(abe,ivy) couple(jon,gay) and couple(dan,fay) couple(jon,gay) and couple(gav,abi) true Marriages: abe And ivy. bob is engaged to ivy but prefers fay, while fay is engaged to dan but prefers bob. Beste casino online tilbud venter pa deg her casino online herino/norgeshandelen slik at pick som alltid vil vre casino tropez mobile no deposit bonus. kortspill nettbutikk Se hva vi fant pa internett To tegn pa at du nrmer deg skilsmisse Se hva vi fant pa internett Pauldoden for sin kjre Tinder som. ( (eve cath ivy jan dee fay bea hope gay) (hope abi dee eve fay bea jan ivy gay) (eve abi dee bea fay ivy gay cath jan) (fay dee gay hope eve jan bea cath abi) (dee bea cath fay eve abi ivy hope gay) (abi dee gay eve ivy cath jan hope fay) (eve ivy bea cath abi dee hope jan fay) (eve hope fay ivy cath jan bea gay dee) (cath dee gay bea abi fay ivy jan eve) (fay jan gay eve bea dee cath ivy hope) : ? M& (fred jon gav ian abe dan ed col hal) (abe col fred gav dan ian ed jon hal) (bob ed gav hal col ian abe dan jon) (jon col abe ian hal gav dan bob ed) (hal fred dan abe gav col ed ian bob) (abe ed ian jon dan fred gav col hal) (gav hal fred bob abe col ed dan ian) (jon bob abe ian dan hal ed col fred) (col hal gav fred bob abe ed jon dan) (hal gav abe bob jon col ian fred dan) : ?

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gay loves jon more than gav, And jon loves gay more than bea. /*- REXX --------------------------------------------------------------* pref.b Preferences of boy b* pref.g Preferences of girl g* boys List of boys* girls List of girls* plist List of proposals* mlist List of (current) matches* glist List of girls to be matched* glist.b List of girls that proposed to boy b* blen maximum length of boys' names* glen maximum length of girls' names---------------------------------------------------------------------*/rexx smxa .

\n")engagements[cath]:=abe; engagements[ivy]:=bobstable()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 and accepted ian abi dumped abe and accepted jon dee accepted col ivy dumped dan and 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. bob is engaged to ivy but prefers hope, while hope is engaged to ian but prefers bob. men = women = match = # finds a stable list of engagements from data as given above - ^=rrmh Pn XS ^/~&l ^/~&rl ^|Dlr HSs/~& ^Tl K2hl Pr SLPAS\~&r - ~&l K2hl Pr SXS, *=rnmih BPK12D ~&mmh Pn XNCB^rn Prm Pll SPc A\~&r ~&[email protected] -, ^|rr Plrl PXX/~& ^/~&n NAS ^/~&l ^|H\~& -: * ^|/~& - xmlns:xsl=" xmlns:fn=" xmlns:xs=" xmlns:m=" xmlns:t=" exclude-result-prefixes="xsl xs fn t m" for $g in m:maid/@name, $b in m:dude/@name, $this-interest in $maids[@name=$g]/m:interest[.=$b] return every $interest in for $other-b in $proposals[m:maid[@name=$g]]/m:dude/@name[.

=0 then -- if she was previously engaged freemen &= dumpee -- he goes to the bottom of the list printf(1,"%s dumped %s and accepted %s\n",) else printf(1,"%s accepted %s\n",) end if engagements[fem] := man -- the new engagement is registeredend while printf(1,"\n Couples:\n")for fem=1 to length(hen) do printf(1,"%s is engaged to %s\n",)end for procedure stable()bool unstable = false for fem=1 to length(hen) do integer man = engagements[fem] for j=1 to length(hen) do if find(fem,mpref[man])find(man,hpref[j]) then if unstable=false then printf(1,"\n These couples are not stable.\n") unstable = true end if printf(1,"%s is engaged to %s but would prefer %s and %s is engaged to %s but would prefer %s\n", ) end if end for end for if not unstable then printf(1,"\n These couples are stable.\n") end ifend procedure stable()printf(1,"\n What if cath and ivy swap? 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 (setq *Boys (list (de abe abi eve cath ivy jan dee fay bea hope gay) (de bob cath hope abi dee eve fay bea jan ivy gay) (de col hope eve abi dee bea fay ivy gay cath jan) (de dan ivy fay dee gay hope eve jan bea cath abi) (de ed jan dee bea cath fay eve abi ivy hope gay) (de fred bea abi dee gay eve ivy cath jan hope fay) (de gav gay eve ivy bea cath abi dee hope jan fay) (de hal abi eve hope fay ivy cath jan bea gay dee) (de ian hope cath dee gay bea abi fay ivy jan eve) (de jon abi fay jan gay eve bea dee cath ivy hope) ) *Girls (list (de bi bob fred jon gav ian abe dan ed col hal) (de bea bob abe col fred gav dan ian ed jon hal) (de cath fred bob ed gav hal col ian abe dan jon) (de dee fred jon col abe ian hal gav dan bob ed) (de eve jon hal fred dan abe gav col ed ian bob) (de fay bob abe ed ian jon dan fred gav col hal) (de gay jon gav hal fred bob abe col ed dan ian) (de hope gav jon bob abe ian dan hal ed col fred) (de ivy ian col hal gav fred bob abe ed jon dan) (de jan ed hal gav abe bob jon col ian fred dan) ) *Couples NIL ) (bind *Boys (while (find '((Boy) (and (val Boy) (not (asoq Boy *Couples)))) *Boys ) (let (Boy @ Girl (pop Boy) Pair (find '((P) (== Girl (cdr P))) *Couples)) (nond (Pair (push '*Couples (cons Boy Girl))) # Girl is free ((memq Boy (memq (car Pair) (val Girl))) # Girl prefers Boy (set Pair Boy) ) ) ) ) ) (for Pair *Couples (prinl (cdr Pair) " is engaged to " (car Pair)) ) (de check Couples () (unless (filter '((Pair) (let (Boy (car Pair) Girl (cdr Pair)) (find '((B) (and (memq Boy (cdr (memq B (val Girl)))) # Girl prefers B (memq (cdr (asoq B *Couples)) # and B prefers Girl (cdr (memq Girl (val B))) ) (prinl Girl " likes " B " better than " Boy " and " B " likes " Girl " better than " (cdr (asoq B *Couples)) ) ) ) (val Girl) ) ) ) *Couples ) (prinl "All marriages are stable") ) ) (check Couples)(prinl)(prinl "Engage fred with abi and jon with bea")(con (asoq 'fred *Couples) 'abi)(con (asoq 'jon *Couples) 'bea)(check Couples)dee is engaged to col fay is engaged to dan eve is engaged to hal gay is engaged to gav bea is engaged to fred jan is engaged to ed ivy is engaged to abe hope is engaged to ian cath is engaged to bob abi is engaged to jon All marriages are stable Engage fred with abi and jon with bea fay likes jon better than dan and jon likes fay better than bea eve likes jon better than hal and jon likes eve better than bea gay likes jon better than gav and jon likes gay better than bea bea likes fred better than jon and fred likes bea better than abi ? abi with jon bea with fred cath with bob dee with col eve with hal fay with dan gay with gav hope with ian ivy with abe jan with ed Couples are stable perturbation of couples gay with jon abi with gav Unstable couples are couple(gav,abi) and couple(abe,ivy) couple(jon,gay) and couple(dan,fay) couple(jon,gay) and couple(gav,abi) true Marriages: abe And ivy. bob is engaged to ivy but prefers fay, while fay is engaged to dan but prefers bob.

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( (eve cath ivy jan dee fay bea hope gay) (hope abi dee eve fay bea jan ivy gay) (eve abi dee bea fay ivy gay cath jan) (fay dee gay hope eve jan bea cath abi) (dee bea cath fay eve abi ivy hope gay) (abi dee gay eve ivy cath jan hope fay) (eve ivy bea cath abi dee hope jan fay) (eve hope fay ivy cath jan bea gay dee) (cath dee gay bea abi fay ivy jan eve) (fay jan gay eve bea dee cath ivy hope) : ? M& (fred jon gav ian abe dan ed col hal) (abe col fred gav dan ian ed jon hal) (bob ed gav hal col ian abe dan jon) (jon col abe ian hal gav dan bob ed) (hal fred dan abe gav col ed ian bob) (abe ed ian jon dan fred gav col hal) (gav hal fred bob abe col ed dan ian) (jon bob abe ian dan hal ed col fred) (col hal gav fred bob abe ed jon dan) (hal gav abe bob jon col ian fred dan) : ?

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gay loves jon more than gav, And jon loves gay more than bea. /*- REXX --------------------------------------------------------------* pref.b Preferences of boy b* pref.g Preferences of girl g* boys List of boys* girls List of girls* plist List of proposals* mlist List of (current) matches* glist List of girls to be matched* glist.b List of girls that proposed to boy b* blen maximum length of boys' names* glen maximum length of girls' names---------------------------------------------------------------------*/rexx smxa .

\n")engagements[cath]:=abe; engagements[ivy]:=bobstable()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 and accepted ian abi dumped abe and accepted jon dee accepted col ivy dumped dan and 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. bob is engaged to ivy but prefers hope, while hope is engaged to ian but prefers bob. men = women = match = # finds a stable list of engagements from data as given above - ^=rrmh Pn XS ^/~&l ^/~&rl ^|Dlr HSs/~& ^Tl K2hl Pr SLPAS\~&r - ~&l K2hl Pr SXS, *=rnmih BPK12D ~&mmh Pn XNCB^rn Prm Pll SPc A\~&r ~&[email protected] -, ^|rr Plrl PXX/~& ^/~&n NAS ^/~&l ^|H\~& -: * ^|/~& - xmlns:xsl=" xmlns:fn=" xmlns:xs=" xmlns:m=" xmlns:t=" exclude-result-prefixes="xsl xs fn t m" for $g in m:maid/@name, $b in m:dude/@name, $this-interest in $maids[@name=$g]/m:interest[.=$b] return every $interest in for $other-b in $proposals[m:maid[@name=$g]]/m:dude/@name[.

=0 then -- if she was previously engaged freemen &= dumpee -- he goes to the bottom of the list printf(1,"%s dumped %s and accepted %s\n",) else printf(1,"%s accepted %s\n",) end if engagements[fem] := man -- the new engagement is registeredend while printf(1,"\n Couples:\n")for fem=1 to length(hen) do printf(1,"%s is engaged to %s\n",)end for procedure stable()bool unstable = false for fem=1 to length(hen) do integer man = engagements[fem] for j=1 to length(hen) do if find(fem,mpref[man])find(man,hpref[j]) then if unstable=false then printf(1,"\n These couples are not stable.\n") unstable = true end if printf(1,"%s is engaged to %s but would prefer %s and %s is engaged to %s but would prefer %s\n", ) end if end for end for if not unstable then printf(1,"\n These couples are stable.\n") end ifend procedure stable()printf(1,"\n What if cath and ivy swap? 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 (setq *Boys (list (de abe abi eve cath ivy jan dee fay bea hope gay) (de bob cath hope abi dee eve fay bea jan ivy gay) (de col hope eve abi dee bea fay ivy gay cath jan) (de dan ivy fay dee gay hope eve jan bea cath abi) (de ed jan dee bea cath fay eve abi ivy hope gay) (de fred bea abi dee gay eve ivy cath jan hope fay) (de gav gay eve ivy bea cath abi dee hope jan fay) (de hal abi eve hope fay ivy cath jan bea gay dee) (de ian hope cath dee gay bea abi fay ivy jan eve) (de jon abi fay jan gay eve bea dee cath ivy hope) ) *Girls (list (de bi bob fred jon gav ian abe dan ed col hal) (de bea bob abe col fred gav dan ian ed jon hal) (de cath fred bob ed gav hal col ian abe dan jon) (de dee fred jon col abe ian hal gav dan bob ed) (de eve jon hal fred dan abe gav col ed ian bob) (de fay bob abe ed ian jon dan fred gav col hal) (de gay jon gav hal fred bob abe col ed dan ian) (de hope gav jon bob abe ian dan hal ed col fred) (de ivy ian col hal gav fred bob abe ed jon dan) (de jan ed hal gav abe bob jon col ian fred dan) ) *Couples NIL ) (bind *Boys (while (find '((Boy) (and (val Boy) (not (asoq Boy *Couples)))) *Boys ) (let (Boy @ Girl (pop Boy) Pair (find '((P) (== Girl (cdr P))) *Couples)) (nond (Pair (push '*Couples (cons Boy Girl))) # Girl is free ((memq Boy (memq (car Pair) (val Girl))) # Girl prefers Boy (set Pair Boy) ) ) ) ) ) (for Pair *Couples (prinl (cdr Pair) " is engaged to " (car Pair)) ) (de check Couples () (unless (filter '((Pair) (let (Boy (car Pair) Girl (cdr Pair)) (find '((B) (and (memq Boy (cdr (memq B (val Girl)))) # Girl prefers B (memq (cdr (asoq B *Couples)) # and B prefers Girl (cdr (memq Girl (val B))) ) (prinl Girl " likes " B " better than " Boy " and " B " likes " Girl " better than " (cdr (asoq B *Couples)) ) ) ) (val Girl) ) ) ) *Couples ) (prinl "All marriages are stable") ) ) (check Couples)(prinl)(prinl "Engage fred with abi and jon with bea")(con (asoq 'fred *Couples) 'abi)(con (asoq 'jon *Couples) 'bea)(check Couples)dee is engaged to col fay is engaged to dan eve is engaged to hal gay is engaged to gav bea is engaged to fred jan is engaged to ed ivy is engaged to abe hope is engaged to ian cath is engaged to bob abi is engaged to jon All marriages are stable Engage fred with abi and jon with bea fay likes jon better than dan and jon likes fay better than bea eve likes jon better than hal and jon likes eve better than bea gay likes jon better than gav and jon likes gay better than bea bea likes fred better than jon and fred likes bea better than abi ? abi with jon bea with fred cath with bob dee with col eve with hal fay with dan gay with gav hope with ian ivy with abe jan with ed Couples are stable perturbation of couples gay with jon abi with gav Unstable couples are couple(gav,abi) and couple(abe,ivy) couple(jon,gay) and couple(dan,fay) couple(jon,gay) and couple(gav,abi) true Marriages: abe And ivy. bob is engaged to ivy but prefers fay, while fay is engaged to dan but prefers bob.

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