#include int verbose = 0; enum { clown = -1, abe, bob, col, dan, ed, fred, gav, hal, ian, jon, abi, bea, cath, dee, eve, fay, gay, hope, ivy, jan, }; const char *name[] = { "Abe", "Bob", "Col", "Dan", "Ed", "Fred", "Gav", "Hal", "Ian", "Jon", "Abi", "Bea", "Cath", "Dee", "Eve", "Fay", "Gay", "Hope", "Ivy", "Jan" }; int pref[jan + 1][jon + 1] = { { abi, eve, cath, ivy, jan, dee, fay, bea, hope, gay }, { cath, hope, abi, dee, eve, fay, bea, jan, ivy, gay }, { hope, eve, abi, dee, bea, fay, ivy, gay, cath, jan }, { ivy, fay, dee, gay, hope, eve, jan, bea, cath, abi }, { jan, dee, bea, cath, fay, eve, abi, ivy, hope, gay }, { bea, abi, dee, gay, eve, ivy, cath, jan, hope, fay }, { gay, eve, ivy, bea, cath, abi, dee, hope, jan, fay }, { abi, eve, hope, fay, ivy, cath, jan, bea, gay, dee }, { hope, cath, dee, gay, bea, abi, fay, ivy, jan, eve }, { abi, fay, jan, gay, eve, bea, dee, cath, ivy, hope }, { bob, fred, jon, gav, ian, abe, dan, ed, col, hal }, { bob, abe, col, fred, gav, dan, ian, ed, jon, hal }, { fred, bob, ed, gav, hal, col, ian, abe, dan, jon }, { fred, jon, col, abe, ian, hal, gav, dan, bob, ed }, { jon, hal, fred, dan, abe, gav, col, ed, ian, bob }, { bob, abe, ed, ian, jon, dan, fred, gav, col, hal }, { jon, gav, hal, fred, bob, abe, col, ed, dan, ian }, { gav, jon, bob, abe, ian, dan, hal, ed, col, fred }, { ian, col, hal, gav, fred, bob, abe, ed, jon, dan }, { ed, hal, gav, abe, bob, jon, col, ian, fred, dan }, }; int pairs[jan + 1], proposed[jan + 1]; void engage(int man, int woman) { pairs[man] = woman; pairs[woman] = man; if (verbose) printf("%4s is engaged to %4s\n", name[man], name[woman]); } void dump(int woman, int man) { pairs[man] = pairs[woman] = clown; if (verbose) printf("%4s dumps %4s\n", name[woman], name[man]); } /* how high this person ranks that: lower is more preferred */ int rank(int this, int that) { int i; for (i = abe; i <= jon && pref[this][i] != that; i++); return i; } void propose(int man, int woman) { int fiance = pairs[woman]; if (verbose) printf("%4s proposes to %4s\n", name[man], name[woman]); if (fiance == clown) { engage(man, woman); } else if (rank(woman, man) < rank(woman, fiance)) { dump(woman, fiance); engage(man, woman); } } int covet(int man1, int wife2) { if (rank(man1, wife2) < rank(man1, pairs[man1]) && rank(wife2, man1) < rank(wife2, pairs[wife2])) { printf( " %4s (w/ %4s) and %4s (w/ %4s) prefer each other" " over current pairing.\n", name[man1], name[pairs[man1]], name[wife2], name[pairs[wife2]] ); return 1; } return 0; } int thy_neighbors_wife(int man1, int man2) { /* +: force checking all pairs; "||" would shortcircuit */ return covet(man1, pairs[man2]) + covet(man2, pairs[man1]); } int unstable() { int i, j, bad = 0; for (i = abe; i < jon; i++) { for (j = i + 1; j <= jon; j++) if (thy_neighbors_wife(i, j)) bad = 1; } return bad; } int main() { int i, unengaged; /* init: everyone marries the clown */ for (i = abe; i <= jan; i++) pairs[i] = proposed[i] = clown; /* rounds */ do { unengaged = 0; for (i = abe; i <= jon; i++) { //for (i = abi; i <= jan; i++) { /* could let women propose */ if (pairs[i] != clown) continue; unengaged = 1; propose(i, pref[i][++proposed[i]]); } } while (unengaged); printf("Pairing:\n"); for (i = abe; i <= jon; i++) printf(" %4s - %s\n", name[i], pairs[i] == clown ? "clown" : name[pairs[i]]); printf(unstable() ? "Marriages not stable\n" /* draw sad face here */ : "Stable matchup\n"); printf("\nBut if Bob and Fred were to swap:\n"); i = pairs[bob]; engage(bob, pairs[fred]); engage(fred, i); printf(unstable() ? "Marriages not stable\n" : "Stable matchup\n"); return 0; }