Cod sursa(job #443863)

Utilizator ooctavTuchila Octavian ooctav Data 18 aprilie 2010 18:13:49
Problema Flux maxim de cost minim Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 1.5 kb
#include <stdio.h>
#include <vector>

using namespace std;

#define maxn 510
#define inf 2000000000
#define ll long long

int N, M, S, D;
int Drum;
vector<int> A[maxn];
vector<int> Dist, T;
int C[maxn][maxn], F[maxn][maxn], Cost[maxn][maxn];

int BellmanFord()
{
	int stop = 0;
	vector<int> :: iterator it;
	Dist.resize(N);
	fill(Dist.begin(), Dist.end() , inf);
	T.resize(N);
	fill(T.begin(), T.end() , -1);

	Dist[S] = 0;

	while (!stop)
	{
		stop = 1;

		for (int i = 1; i <= N; i++)
			for (it = A[i].begin(); it != A[i].end() ; it++)
				if (C[i][*it] > F[i][*it] && Dist[i]+Cost[i][*it] < Dist[*it])
				{
					Dist[*it] = Dist[i] + Cost[i][*it];
					T[*it] = i;
					stop = 0;
				}
	}


	if (Dist[D] < inf) 
	{
		int Vmin = inf;
		Drum = 1;

		for (int i = D; i != S; i = T[i]) 
			Vmin = min(Vmin, C[T[i]][i] - F[T[i]][i]);

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

		return Vmin * Dist[D];
	}

	return 0;
}

ll Flux()
{
	ll Rez = 0;
	Drum = 1;

	while (Drum)
	{
		Drum = 0;
		Rez += BellmanFord();
	}

	return Rez;
}

int main()
{
	freopen("fmcm.in", "r", stdin);
	freopen("fmcm.out", "w", stdout);

	int x, y, z, cap;

	scanf("%d %d %d %d ", &N, &M, &S, &D);

	for (int i = 1; i <= M; i++)
	{
		scanf("%d %d %d %d ", &x, &y, &cap, &z);
		A[x].push_back(y);
		A[y].push_back(x);
		C[x][y] = cap;
		Cost[x][y] = z;
		Cost[y][x] = -z;
	}

	printf("%lld\n", Flux());

	return 0;
}