Cod sursa(job #3036540)

Utilizator Razvan_GabrielRazvan Gabriel Razvan_Gabriel Data 24 martie 2023 15:46:45
Problema Flux maxim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.74 kb
#include <iostream>
#include <fstream>
#include <algorithm>
#include <queue>
#include <cmath>

using namespace std;


const int NMAX = 1e3 + 5;
const int INF = 2e9;

vector <int> v[NMAX];

int flux[NMAX][NMAX];
int t[NMAX];
bool viz[NMAX];

int n;

bool bfs(int p)
{
    for(int i = 1; i <= n; i++)
        viz[i] = false;

    queue <int> q;

    q.push(p);
    viz[p]=true;
    while(!q.empty())
    {
        int p = q.front();
        q.pop();
        if(p == n)
            return true;
        for(auto i:v[p])
        {
            if(!viz[i] && flux[p][i] > 0)
            {
                q.push(i);
                t[i] = p;
                viz[i] = true;
            }
        }
    }
    return false;
}

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

    int m, mini=INF, x, y, c;
    long long maxi = 0;
    fin >> n >> m;
    for(int i = 1; i <= m; i++)
    {
        fin >> x >> y >> c;
        flux[x][y] = c;
        v[x].push_back(y);
        v[y].push_back(x);
    }
    while(bfs(1))
    {
        for(auto i:v[n])
        {
            if(!viz[i] || flux[i][n] <= 0)
                continue;
            mini = INF;
            t[n] = i;
            x = n;
            while(x != 1)
            {
                mini = min(mini, flux[t[x]][x]);
                x = t[x];
            }
            if(mini == 0)
                continue;
            maxi = maxi + mini;
            x = n;
            while(x != 1)
            {
                flux[x][t[x]] = flux[x][t[x]] + mini;
                flux[t[x]][x] = flux[t[x]][x] - mini;
                x = t[x];
            }
        }
    }

    fout << maxi;

    return 0;
}