double costs[N_LEFT][N_RIGHT]; // Es muss l<=r sein! (sonst Endlosschleife) double match(int l, int r) { vector lx(l), ly(r); //xy is matching from l->r, yx from r->l, or -1 vector xy(l, -1), yx(r, -1); vector> slack(r); for (int x = 0; x < l; x++) lx[x] = *max_element(costs[x], costs[x] + r); for (int root = 0; root < l; root++) { vector aug(r, -1); vector s(l); s[root] = true; for (int y = 0; y < r; y++) { slack[y] = {lx[root] + ly[y] - costs[root][y], root}; } int y = -1; while (true) { double delta = INF; int x = -1; for (int yy = 0; yy < r; yy++) { if (aug[yy] < 0 && slack[yy].first < delta) { tie(delta, x) = slack[yy]; y = yy; }} if (delta > 0) { for (int x = 0; x < l; x++) if (s[x]) lx[x] -= delta; for (int y = 0; y < r; y++) { if (aug[y] >= 0) ly[y] += delta; else slack[y].first -= delta; }} aug[y] = x; x = yx[y]; if (x < 0) break; s[x] = true; for (int y = 0; y < r; y++) { if (aug[y] < 0) { double alt = lx[x] + ly[y] - costs[x][y]; if (slack[y].first > alt) { slack[y] = {alt, x}; }}}} while (y >= 0) { yx[y] = aug[y]; swap(y, xy[aug[y]]); }} return accumulate(all(lx), 0.0) + accumulate(all(ly), 0.0); // Wert des Matchings }