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#include <bits/stdc++.h>
using namespace std;
#define st first
#define nd second
#define pb push_back
#define mkp make_pair
#define FOR(i,a,b) for(int i=(a);i<=(b);++i)
#define FORS(i,a,b) for(int i=(a);i<(b);++i)
#define PII pair<int,int>
#define VI vector<int>
#define VPII vector<PII>
#define all(x) x.begin(),b.end()
#define SZ(x) ((int)(x).size())
#define ll long long
#define MOD 10000000 //998244353
#define maxn 355
const int INF=0x3f3f3f3f;
int N,M,S,D,cst[maxn][maxn],C[maxn][maxn],nod,mini,
TT[maxn],Cmin,d[maxn];
VI g[maxn];
priority_queue<PII,VPII,greater<PII>>que;
bool fmcm()
{
FOR(i,1,N)d[i]=INF;
d[S]=0;
que.push(mkp(d[S],S));
while(!que.empty())
{
nod=que.top().nd;
que.pop();
for(auto it:g[nod])
if(C[nod][it]){
int newc=d[nod]+cst[nod][it];
if(newc<d[it]){
d[it]=newc;
TT[it]=nod;
que.push(mkp(newc,it));
}
}
}
if(d[D]==INF)return 0;
mini=INF;
for(int u=D;u!=S;u=TT[u])
mini=min(mini,C[TT[u]][u]);
for(int u=D;u!=S;u=TT[u])
C[TT[u]][u]-=mini,C[u][TT[u]]+=mini;
Cmin+=(mini*d[D]);
return 1;
}
int main()
{
freopen("fmcm.in","r",stdin);
freopen("fmcm.out","w",stdout);
int x,y,c,z;
cin>>N>>M>>S>>D;
FOR(i,1,M){
cin>>x>>y>>c>>z;
g[x].pb(y);
g[y].pb(x);
C[x][y]=c;
cst[x][y]=z,cst[y][x]=-z;
}
for(;fmcm(););
cout<<Cmin;
}