Cod sursa(job #1033104)

Utilizator RyuzakiL Lawliet Ryuzaki Data 16 noiembrie 2013 14:31:17
Problema Cuplaj maxim in graf bipartit Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.6 kb
#include <cstring>
#include <iostream>
#include <fstream>
#include <vector>
#include <bitset>
using namespace std;

#define MAXN 10010

typedef vector<int>::iterator iter;

ifstream f("cuplaj.in");
ofstream g("cuplaj.out");

int n, m, e;
vector<int> G[MAXN];
bitset<MAXN> viz;
int l[MAXN];    // multimea din stanga
int r[MAXN];    // multimea din dreapta

bool match(int nd) {
    if (viz[nd] == true) {
        return false;
    }
    viz[nd] = true;

    for (iter it = G[nd].begin(); it != G[nd].end(); it++) {
        if (r[*it] == 0) {
            l[nd] = *it;
            r[*it] = nd;
            return true;
        }
    }

    for (iter it = G[nd].begin(); it != G[nd].end(); it++) {
        if (match(r[*it])) {
            l[nd] = *it;
            r[*it] = nd;
            return true;
        }
    }
    return false;
}

int main() {
    memset(l, 0, sizeof(l));
    memset(r, 0, sizeof(r));

    f >> n >> m >> e;
    for (int i = 1; i <= e; i++) {
        int x, y;
        f >> x >> y;
        G[x].push_back(y);
    }

    bool ok = true;
    while (ok) {
        viz.reset();

        ok = false;
        for (int i = 1; i <= n; i++) {
            if (l[i] == 0) {
                ok |= match(i);
            }
        }
    }

    int sol = 0;
    for (int i = 1; i <= n; i++) {
        if (l[i] != 0) {
            sol++;
        }
    }

    g << sol << '\n';
    for (int i = 1; i <= n; i++) {
        if (l[i] != 0) {
            g << i << ' ' << l[i] << '\n';
        }
    }

    f.close();
    g.close();
    return 0;
}