Cod sursa(job #2849686)

Utilizator SergiuS3003Sergiu Stancu Nicolae SergiuS3003 Data 15 februarie 2022 15:28:30
Problema Flux maxim Scor 60
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.53 kb
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#define pb push_back
using namespace std;
ifstream f ( "maxflow.in" );
ofstream g ( "maxflow.out" );
const int NMAX = 1001, INF = 0x3f3f3f3f;
int N, M, S, D,
    C[NMAX][NMAX],
    F[NMAX][NMAX],
    T[NMAX];
vector<int>G[NMAX];
void citire()
{
    int x, y;
    f >> N >> M;

    while ( M-- )
    {
        f >> x >> y;
        f >> C[x][y];
        G[x].pb ( y );
        G[y].pb ( x );
    }
}
bool bfs()
{
    queue<int>Q;

    for ( int i = 1; i <= N; i++ )
        T[i] = 0;

    T[S] = -1;
    Q.push ( S );

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

        for ( int &i : G[nod] )
            if ( T[i] == 0 && C[nod][i] > F[nod][i] )
            {
                T[i] = nod;
                Q.push ( i );
            }
    }

    return T[D] != 0;
}
int Edmonds_Karp()
{
    int flow = 0;
    int i, cmin, dif;

    while ( bfs() )
    {
        cmin = INF;

        for ( i = D; i != S; i = T[i] )
        {
            dif = C[T[i]][i] - F[T[i]][i];///capacitatea reziduala pe muchia curenta

            if ( dif < cmin )
                cmin = dif;
        }

        for ( i = D; i != S; i = T[i] )
        {
            F[T[i]][i] += cmin;
            C[i][T[i]] -= cmin;
        }

        flow += cmin;
    }

    return flow;
}
int main()
{
    citire();
    S = 1;
    D = N;
    g << Edmonds_Karp();
    f.close();
    g.close();
    return 0;
}