Cod sursa(job #2962309)

Utilizator TeoDiDiaconescu Teodora TeoDi Data 8 ianuarie 2023 11:01:57
Problema Cuplaj maxim in graf bipartit Scor 40
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.69 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("cuplaj.in");
ofstream fout("cuplaj.out");

int ct;

int MaxFlow(vector<vector<int>> &cap, int s, int t) {
    int n = cap.size();
    vector<vector<int>> flow(n, vector<int>(n));
    int ans = 0;
    while (true) {
        vector<int> par(n, -1);
        par[s] = -2;
        queue<int> q;
        q.push(s);
        while (!q.empty() && par[t] == -1) {
            int u = q.front();
            q.pop();
            for (int v = 0; v < n; v++) {
                if (par[v] == -1 && cap[u][v] - flow[u][v] > 0) {
                    par[v] = u;
                    q.push(v);
                }
            }
        }
        if (par[t] == -1) {
            break;
        }
        int f = INT_MAX;
        for (int v = t; v != s; v = par[v]) {
            f = min(f, cap[par[v]][v] - flow[par[v]][v]);
        }
        for (int v = t; v != s; v = par[v]) {
            flow[par[v]][v] += f;
            flow[v][par[v]] -= f;
        }
        ans += f;
    }
    fout << ans << '\n';
    for(int i = 0; i < n; i++) {
        for(int j = 0; j < n; j++) {
            if(flow[i][j] > 0 && i != 0 && j != t) {
                fout << i << " " << j - ct << "\n";
            }
        }
    }
    return ans;
}


int main() {
    int nl, nr, n, m;
    fin >> nl >> nr >> m;
    ct = nl;
    int s = 0;
    n = nl + nr + 1;
    vector<vector<int>> cap(n+2, vector<int>(n+2, 0));
    for(int i = 1; i <= m;i++)
    {
        int x, y;
        fin >> x >> y;
        y = y + nl;
        cap[x][y] = 1;
    }
    for(int i = 1; i < n;i++)
    {
        if(i <= nl)
            cap[s][i] = 1;
        else
            cap[i][n] = 1;
    }
    MaxFlow(cap, s, n);
    return 0;
}