Cod sursa(job #3030658)

Utilizator Chris_BlackBlaga Cristian Chris_Black Data 17 martie 2023 19:54:15
Problema Flux maxim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.5 kb
#include <fstream>
#include <vector>
#include <queue>
#include <bitset>
using namespace std;
ifstream cin("maxflow.in");
ofstream cout("maxflow.out");
const int N = 1009,Inf = 0x3f3f3f3f;
int n,m,a,b,z,C[N][N],t[N];
vector<vector<int>>G;
bitset<N> v;
queue<int> q;

bool Bf(int source,int sink)
{
    v.reset();
    v[source] = 1;
    q.push(source);
    while(!q.empty())
    {
        int x = q.front();
        q.pop();

        if(x == sink)continue;

        for(auto y : G[x])
            if(!v[y] && C[x][y] > 0)
            {
                v[y] = 1;
                t[y] = x;
                q.push(y);
            }
    }
    return v[sink];
}

int MaxFlow(int source,int sink)
{
    int maxflow = 0, fmin;
    while( Bf(source, sink) )
        for(auto x : G[sink])
        {
            if(!v[x] || C[x][sink] <= 0)continue;

            t[sink] = x;
            fmin = Inf;
            for(int i = sink; i != source; i = t[i])
                fmin = min(fmin,C[t[i]][i]);

            if(!fmin)continue;

            for(int i = sink; i != source; i = t[i])
            {
                C[t[i]][i] -= fmin;
                C[i][t[i]] += fmin;
            }
            maxflow += fmin;
        }

    return maxflow;
}

int main()
{
    cin>>n>>m;
    G = vector<vector<int>>(n+1);
    while(m--)
    {
        cin>>a>>b>>z;
        G[a].push_back(b);
        G[b].push_back(a);
        C[a][b] += z;
    }

    cout<< MaxFlow(1,n);
    return 0;
}