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#include <iostream>
#include <fstream>
#include <set>
#include <vector>
using namespace std;
ifstream f("sate.in");
ofstream g("sate.out");
set <pair <int ,int > > S;
vector < int > V[30001];
vector < int > C[30001];
vector <int > D(300001,1<<30);
void dijkstra(int nod){
S.insert(make_pair(nod,0));
while(!S.empty()){
int nod=(*S.begin()).first;
int dist=(*S.begin()).second;
S.erase(S.begin());
for(int i=0;i<V[nod].size();i++){
if(D[V[nod][i]]>dist+C[nod][i]){
D[V[nod][i]]=dist+C[nod][i];
S.insert(make_pair(V[nod][i],D[V[nod][i]]));
}
}
}
}
int main()
{
int x,y,c,n,m,xi,yi;
f>>n>>m>>xi>>yi;
for(int i=0;i<m;i++){
f>>x>>y>>c;
V[x].push_back(y);
C[x].push_back(c);
V[y].push_back(x);
C[y].push_back(-c);
}
dijkstra(xi);
g<<D[yi];
return 0;
}