Cod sursa(job #2811405)

Utilizator Iulia14iulia slanina Iulia14 Data 2 decembrie 2021 10:59:00
Problema Flux maxim Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.28 kb
#include <bits/stdc++.h>

using namespace std;
const int N = 1005;
const int inf = 2e9;
int cap[N][N];
int flx[N][N];
int prv[N];
vector <int> g[N];
int d[N], n;
int bfs()
{
    for (int i = 2; i <= n; i++)
        d[i] = inf;
    queue <int> q;
    q.push(1);
    while (!q.empty())
    {
        int x = q.front();
        q.pop();
        for (auto y : g[x])
        {
            if (1 + d[x] < d[y] && flx[x][y] < cap[x][y])
            {
                d[y] = d[x] + 1;
                q.push(y);
                prv[y] = x;
            }
        }
    }
    if (d[n] != inf)
        return 1;
    return 0;
}
int main()
{
    freopen("maxflow.in", "r", stdin);
    freopen("maxflow.out", "w", stdout);
    int m, f = 0;
    cin >> n >> m;
    while(m--)
    {
        int x, y;
        cin >> x >> y;
        cin >> cap[x][y];
        g[x].push_back(y);
        g[y].push_back(x);
    }
    while(bfs())
    {
        int minim = inf;
        for (int i = n; i > 1; i = prv[i])
            minim = min(minim, cap[prv[i]][i] - flx[prv[i]][i]);
        for (int i = n; i != 1; i = prv[i])
        {
            flx[prv[i]][i] += minim;
            flx[i][prv[i]] -= minim;
        }
        f += minim;
    }
    cout << f;
    return 0;
}