#include <iostream>
#include <fstream>
#include <vector>
#include <queue>

#define oo 2147483647

using namespace std;

int n, s, d;
vector<int> G[360];
int c[360][360];
int cost[360][306];

int ds[360];
int real[360];
int mn[360];
int tata[360];
bool vis[360];
priority_queue< pair< int, int> > pq;

int fluxCost;

int dijkstra() {
    int aux;
    for(int i = 1; i <= n; i ++) ds[i] = oo;
    ds[s] = real[s] = 0;

    pq.push({0, s});
    while(!pq.empty()) {
        int kost = -pq.top().first;
        int act = pq.top().second;
        pq.pop();
        if(kost != ds[act]) continue;
        for(auto it: G[act]) {
            aux = ds[act] + cost[act][it] + mn[act] - mn[it];
            if(c[act][it] && aux < ds[it]) {
                ds[it] = aux;
                real[it] = real[act] + cost[act][it];
                tata[it] = act;
                pq.push({-ds[it], it});
            }
        }
    }
    for(int i = 1; i <= n; i ++) mn[i] = real[i];

    if(ds[d] == oo) return false;

    int cmn = oo;
    for(int i = d; tata[i]; i = tata[i])
        cmn = min(cmn, c[tata[i]][i]);
    for(int i = d; tata[i]; i = tata[i]) {
        c[tata[i]][i] -= cmn;
        c[i][tata[i]] += cmn;
    }
    fluxCost += cmn * real[d];
    return true;
}



queue<int> q;
bool bellmanFord() {

    int aux;
    for(int i = 1; i <= n; i ++) mn[i] = oo;

    mn[s] = 0;
    vis[s] = true;
    q.push(s);

    while(!q.empty()) {
        int act = q.front();
        vis[act] = false;
        q.pop();

        for(auto it: G[act]) {
            aux = mn[act] + cost[act][it];
            if(c[act][it] && mn[it] > aux) {
                mn[it] = aux;
                if(!vis[it]) {
                    vis[it] = true;
                    q.push(it);
                }
            }
        }
    }
    if(mn[d] == oo)
        return false;
    return true;
}

void flux() {
    if(!bellmanFord()) return ;
    while(dijkstra());
}

int main()
{
    ifstream f("fmcm.in");
    ofstream g("fmcm.out");
    int m, x, y;
    f >> n >> m >> s >> d;
    for(; m; m --) {
        f >> x >> y;
        f >> c[x][y] >> cost[x][y];
        cost[y][x] = -cost[x][y];
        G[x].push_back(y);
        G[y].push_back(x);
    }
    flux();
    g << fluxCost << "\n";
    return 0;
}