Cod sursa(job #2957273)

Utilizator StanCatalinStanCatalin StanCatalin Data 22 decembrie 2022 11:16:36
Problema Flux maxim Scor 60
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.67 kb
#include <iostream>
#include <vector>
#include <fstream>
#include <queue>
#include <algorithm>

using namespace std;

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

const int dim = 1005;

int n,m, sursa, destinatie;
vector<pair<int,pair<int,int>>> graf_rezidual[dim];
pair<int, int*> tata[dim];
int viz[dim];
vector<pair<int,int*>> in_destinatie;

int BFS() {
    queue<int> q;
    for (int i=1; i<=n; i++) {
        viz[i] = 0;
    }
    tata[sursa] = {0, 0};
    viz[sursa] = 1;
    q.push(sursa);

    while (!q.empty()) {
        int x = q.front();
        q.pop();
        if (x == destinatie) continue;
        for (auto &y:graf_rezidual[x]) {
            if (y.second.first > 0 && !viz[y.first]) {
                viz[y.first] = 1;
                tata[y.first] = {x, &y.second.first};
                q.push(y.first);
            }
        }
    }

    return viz[destinatie];
}

int main() {
    in >> n >> m;
    int x, y, c;
    sursa = 1;
    destinatie = n;
    while (m--) {
        in >> x >> y >> c;
        graf_rezidual[x].push_back({y, {c, 1}});
        graf_rezidual[y].push_back({x, {0, 0}});
        if (y == destinatie) {
            in_destinatie.push_back({x, &graf_rezidual[x][graf_rezidual[x].size() - 1].first});
        }
    }
    int maxflow = 0;
    while (BFS()) {

        pair<int,int*> nod = tata[destinatie];
        int mini = 1e9;
        while (nod.first != 0) {
            mini = min(mini, *nod.second);
            nod = tata[nod.first];
        }
        maxflow += mini;

        nod = tata[destinatie];
        while (nod.first != 0) {
            *nod.second -= mini;
            nod = tata[nod.first];
        }
    }

    out << maxflow;
    return 0;
}