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#include <bits/stdc++.h>
using namespace std;
ifstream fin("fmcm.in");
ofstream fout("fmcm.out");
#define INF 0x3f3f3f3f
vector <int> v[354];
int n,m,start,finish,x,y,c,z,cost[354][354],cap[354][354],d[352],dist1[352],dist2[352],t[352],sol;
priority_queue <pair<int,int>,vector <pair<int,int>>, greater<pair<int,int>>> q;
bool flux()
{
memset(d,INF,sizeof(d));
d[start]=0;
dist2[start]=0;
q.push({d[start],start});
while(!q.empty())
{
int nod=q.top().second;
int cst=q.top().first;
q.pop();
if(cst>d[nod])continue;
for(auto x:v[nod])
{
if(cap[nod][x])
{
if(d[x]>d[nod]+cost[nod][x]+dist1[nod]-dist1[x])
{
d[x]=d[nod]+cost[nod][x]+dist1[nod]-dist1[x];
dist2[x]=dist2[nod]+cost[nod][x];
t[x]=nod;
q.push({d[x],x});
}
}
}
}
memcpy(dist1,dist2,sizeof(d));
if(d[finish]==INF)return 0;
int min1=INF;
for(int i=finish; i!=start; i=t[i])min1=min(min1,cap[t[i]][i]);
for(int i=finish; i!=start; i=t[i])
{
cap[t[i]][i]-=min1;
cap[i][t[i]]+=min1;
}
sol+=(min1*dist2[finish]);
return 1;
}
int main()
{
fin>>n>>m>>start>>finish;
for(int i=1; i<=m; i++)
{
fin>>x>>y>>c>>z;
v[x].push_back(y);
v[y].push_back(x);
cost[x][y]=z;
cost[y][x]=-z;
cap[x][y]=c;
}
while(flux());
fout<<sol;
return 0;
}