Cod sursa(job #2962253)

Utilizator anamaria_panait.10Panait Ana-Maria anamaria_panait.10 Data 8 ianuarie 2023 02:51:20
Problema Flux maxim Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.49 kb
#include <fstream>
#include <vector>
#include <queue>

using namespace std;

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

int c[1001][1001], tata[1001], viz[1001];
vector<vector<int>> adj;
int n, src, dest;

bool bfs(int src){
    queue<int> coada;
    for(int i = 1; i <= n; i++){
        viz[i] = 0;
    }
    coada.push(src);
    viz[src] = 1;
    tata[src] = -1;

    while(!coada.empty()){
        int nod = coada.front();
        coada.pop();
        for(auto vec: adj[nod]){
            if(c[nod][vec] > 0 && !viz[vec]){
                tata[vec] = nod;
                if(vec == dest)
                    return true;
                viz[vec] = 1;
                coada.push(vec);
            }
        }
    }

    return false;
}

int main()
{
    int m, x, y, z;
    in >> n >> m;

    adj.resize(n+1);
    for(int  i = 0; i < m; i++){
        in >> x >> y >> z;
        c[x][y] = z;
        adj[x].push_back(y);
        adj[y].push_back(x);
    }
    src = 1;
    dest = n;
    long long cap_max = 0;
    while(bfs(src)){
        int nod = dest;
        int cap = c[tata[nod]][nod];
        while(nod != src){
            cap = min(cap, c[tata[nod]][nod]);
            nod = tata[nod];
        }

        nod = dest;
        while(nod != src){
            c[tata[nod]][nod] -= cap;
            c[nod][tata[nod]] += cap;
            nod = tata[nod];
        }

        cap_max += cap;
    }

    out << cap_max;

    return 0;
}