Cod sursa(job #2724505)

Utilizator vlad082002Ciocoiu Vlad vlad082002 Data 17 martie 2021 10:41:34
Problema Flux maxim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.36 kb
#include <bits/stdc++.h>
using namespace std;

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

int n, m, f[1024][1024], c[1024][1024], t[1024];
vector<int> g[1024];
bool v[1024];

int bfs() {
    for(int i = 1; i <= n; i++) v[i] = false;
    queue<int> q;
    q.push(1);
    v[1] = true;
    while(!q.empty()) {
        int cur = q.front();
        q.pop();

        for(auto next: g[cur]) {
            if(!v[next] && c[cur][next] > f[cur][next]) {
                v[next] = true;
                t[next] = cur;
                if(next == n) return true;
                q.push(next);
            }
        }
    }
    return false;
}

int main() {
    fin >> n >> m;
    while(m--) {
        int a, b, cap;
        fin >> a >> b >> cap;
        g[a].push_back(b);
        g[b].push_back(a);
        c[a][b] += cap;
    }

    int flow, fmin;
    for(flow = 0; bfs(); ) {

        for(auto next: g[n]) {
            if(c[next][n] == f[next][n] || !v[next]) continue;
            t[n] = next;

            fmin = 2e9;
            for(int i = n; t[i]; i = t[i])
                fmin = min(fmin, c[t[i]][i]-f[t[i]][i]);

            for(int i = n; t[i]; i = t[i]) {
                f[t[i]][i] += fmin;
                f[i][t[i]] -= fmin;
            }

            flow += fmin;
        }
    }

    fout << flow;
}