#include <bits/stdc++.h>
using namespace std;
ifstream f("fmcm.in"); ofstream g("fmcm.out");
vector <int> v[360];
int n,nod_start,nod_final,maxflow,cost_total,min_dist[360],tata[360],new_dist[360],dist[360],C[360][360],cost[360][360],flux[360][360];
queue <int> q;
priority_queue < pair <int,int> , vector <pair <int,int > > , greater < pair <int,int > > > h;
void Bellman_Ford()
{   int i,nod;
    for(i=1;i<=n;i++)dist[i]=INT_MAX/2;
    dist[nod_start]=0;
    q.push(nod_start);
    while(!q.empty())
    {   nod=q.front();
        q.pop();
        for(i=0;i<v[nod].size();i++)
        {   int vecin=v[nod][i];
            if(flux[nod][vecin] < C[nod][vecin] && dist[vecin]>dist[nod]+cost[nod][vecin])
            {   dist[vecin]=dist[nod]+cost[nod][vecin];
                q.push(vecin);
            }
        }
    }
}
int Dijkstra()
{   int i,nod,flux_min=INT_MAX;
    for(i=1;i<=n;i++)min_dist[i]=INT_MAX/2,tata[i]=0;
    min_dist[nod_start]=0;new_dist[nod_start]=0;
    h.push({0,nod_start});
    while(!h.empty())
    {   int nod=h.top().second;
        if(min_dist[nod] < h.top().first)
        {   h.pop(); continue;}
        else h.pop();
        for(i=0;i<v[nod].size();i++)
        {   int vecin=v[nod][i];
            int dist_intre=cost[nod][vecin]+dist[nod]-dist[vecin];
            if(flux[nod][vecin] < C[nod][vecin] && min_dist[vecin] > min_dist[nod]+dist_intre)
            {   min_dist[vecin]=min_dist[nod]+dist_intre;
                new_dist[vecin]=new_dist[nod]+cost[nod][vecin];
                tata[vecin]=nod;
                h.push({min_dist[vecin],vecin});
            }
        }
    }
    if(min_dist[nod_final]==INT_MAX/2) return 0;
    nod=nod_final;
    while(tata[nod]!=0)
    {   flux_min=min(flux_min,C[tata[nod]][nod]-flux[tata[nod]][nod]);
        nod=tata[nod];
    }
    nod=nod_final;
    while(tata[nod]!=0)
    {   flux[tata[nod]][nod]+=flux_min;
        flux[nod][tata[nod]]-=flux_min;
        nod=tata[nod];
    }
    maxflow+=flux_min;
    cost_total+=flux_min*new_dist[nod_final];
    for(i=1;i<=n;i++)dist[i]=new_dist[i];
    return 1;
}
int m,i,x,y,z,c;
int main()
{   f>>n>>m>>nod_start>>nod_final;
    for(i=1;i<=m;i++)
    {   f>>x>>y>>c>>z;
        v[x].push_back(y);
        v[y].push_back(x);
        C[x][y]=c;
        cost[x][y]=z;cost[y][x]=-z;
    }
    Bellman_Ford();
    while(Dijkstra());
    g<<cost_total;
    g.close(); return 0;
}