Cod sursa(job #2905629)

Utilizator sichetpaulSichet Paul sichetpaul Data 22 mai 2022 18:36:53
Problema Flux maxim Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.35 kb
#include <bits/stdc++.h>
#define Nmax 1002
#define INF 1e9
using namespace std;

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

int N, M;
int cap[Nmax][Nmax], flow[Nmax][Nmax], t[Nmax], Min[Nmax];
bool vis[Nmax];
vector<int> G[Nmax];

void makeFlow(int currFlow) {
   int v = N;
   while (v != 1) {
       int u = t[v];
       flow[u][v] += currFlow;
       flow[v][u] -= currFlow;
       v = u;
   }
}

int BFS() {
    queue<int> Q;
    memset(Min, 0, sizeof(Min));
    memset(vis, 0, sizeof(vis));
    Q.push(1);
    vis[1] = 1;
    Min[1] = INF;

    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();

        for (auto v: G[u])
        if (!vis[v] && flow[u][v] < cap[u][v]) {
            vis[v] = 1;
            Min[v] = min(Min[u], cap[u][v] - flow[u][v]);
            t[v] = u;
            if (v == N) return Min[N];
            Q.push(v);
        }
    }
       return 0;
}

int main()
{
    fin >> N >> M;
    while (M--) {
        int x, y, c;
        fin >> x >> y >> c;
        G[x].push_back(y);
        G[y].push_back(x);  /// back-edge
        cap[x][y] = c;
    }

    int ans = 0;
    while (1) {
        int currFlow = BFS();
        if (currFlow == 0) break;
        ans += currFlow;
        makeFlow(currFlow);
    }

       fout << ans << '\n';

    return 0;
}