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// Flux Maxim.cpp : Defines the entry point for the console application.
//
#include "iostream"
#include "fstream"
#include "vector"
#include "map"
#include <bitset>
#include <set>
#include <cstring>
#define NMAX 1005
#define INF 1000000000
using namespace std;
ifstream f("fmcm.in");
ofstream g("fmcm.out");
int flux[NMAX][NMAX], n, m;
int Father[NMAX], frezmin, MinFather[NMAX];
int bf[NMAX], cost[NMAX][NMAX];
vector < int > a[NMAX];
inline int min(const int & a, const int & b) {
if (a < b) return a;
return b;
}
void UpdateFluxRezidual(const int & nod, const int & value, const int & source) {
if (nod == source) return;
flux[Father[nod]][nod] -= value;
UpdateFluxRezidual(Father[nod], value, source);
}
inline bool BF(const int & source, const int & destination) {
set < pair < int, pair < int, int > > > myset;
bitset < NMAX > used;
memset(Father, 0, sizeof(Father));
myset.insert(make_pair(0, make_pair(source, source)));
while (!myset.empty()) {
pair < int , pair < int, int > > P = *myset.begin();
int nod = P.second.first;
Father[nod] = P.second.second;
int cq = P.first;
myset.erase(myset.begin());
if(used[nod]) continue;
used[nod] = 1;
if (nod == destination) {
continue;
}
for (int i = 0; i < a[nod].size(); i++) {
int next = a[nod][i];
if (flux[nod][next] > 0 && used[next] == 0) {
myset.insert(make_pair(cq + cost[nod][next], make_pair(next, nod)));
}
}
}
if (Father[destination]) return true;
return false;
}
int maxflow(const int & source, const int & destination)
{
int flow = 0, costflow = 0;
for (; BF(source, destination);) {
int flowmin = INF;
int costpartial = 0;
for (int nod = destination; nod != source; nod = Father[nod])
{
flowmin = min(flowmin, flux[Father[nod]][nod]);
costpartial += cost[Father[nod]][nod];
}
for (int nod = destination; nod != source; nod = Father[nod]){
flux[Father[nod]][nod] -= flowmin;
flux[nod][Father[nod]] += flowmin;
}
costflow += flowmin * costpartial;
/*
for (int i = 0; i < a[destination].size(); i++) {
int nod = a[destination][i];
if (flux[nod][destination] <= 0 || Father[nod] == 0) continue;
Father[destination] = nod;
int flowmin = INF;
for (nod = destination; nod != source; nod = Father[nod])
flowmin = min(flowmin, flux[Father[nod]][nod]);
for (nod = destination; nod != source; nod = Father[nod]) {
flux[Father[nod]][nod] -= flowmin;
flux[nod][Father[nod]] += flowmin;
}
flow += flowmin;
}
*/
}
return costflow;
}
int main()
{
int source, destination;
f >> n >> m >> source >> destination;
for (int i = 0; i < m; i++) {
int x, y, fl, c;
f >> x >> y >> fl >> c;
a[x].push_back(y);
a[y].push_back(x);
flux[x][y] = fl;
cost[x][y] = c;
}
g << maxflow(source, destination);
return 0;
}