Cod sursa(job #3336702)

Utilizator Bogdan222Bogdan Caraeane Bogdan222 Data 25 ianuarie 2026 13:57:35
Problema Flux maxim Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.59 kb
#include<iostream>
#include<vector>
#include <queue>
#include<fstream>
#define pii pair<int, int>
using namespace std;

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

const int NMAX = 1000, inf = 1e9;
vector<int> g[NMAX];
int cap[NMAX][NMAX], n;

int bfs (int s, int t, int parent[]) {
    for (int i = 1; i <= n; i++) {
        parent[i] = -1;
    }
    parent[s] = -2;
    queue<pii> q;
    q.push({s, inf});
    while(!q.empty()) {
        int nod = q.front().first;
        int flow = q.front().second;
        q.pop();
        for (auto neigh: g[nod]) {
            if (parent[neigh] == -1 && cap[nod][neigh]) {
                parent[neigh] = nod;
                int next_flow = min(flow, cap[nod][neigh]);
                if (neigh == t) {
                    return next_flow;
                }
                q.push({neigh, next_flow});
            }
        }

    }
    return 0;

}

int maxflow(int source, int destination) {
    int flow = 0, curr_flow, parent[NMAX];
    while ((curr_flow = bfs(source, destination, parent))) {
        int nod = destination;
        flow += curr_flow;
        while (nod != source) {
            int prev = parent[nod];
            cap[prev][nod] -= curr_flow;
            cap[nod][prev] += curr_flow; 
            nod = prev;
        }
    }
    return flow;
}

int main () {
    int m, x, y, z;
    fin >> n >> m;
    for (int i = 0; i < m; i++) {
        fin >> x >> y >> z;
        g[x].push_back(y);
        g[y].push_back(x);
        cap[x][y] = cap[y][x] = z;
    }

    fout << maxflow(1, n);
}