#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define endl '\n'
//计算无向图某两点间距离(s和t)
const ll inf = 4e18;
int n,m,s,t;
struct edge{
int to;
ll w;
};
vector<vector<edge>> g;
vector<ll> dist;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n>>m>>s>>t;
g.resize(n+1);
dist.resize(n+1,inf);
dist[s] = 0;
for(int i = 0;i<m;i++){
int u,v;ll w;
cin>>u>>v>>w;
g[u].push_back({v,w});//无向图两边都要存图的信息
g[v].push_back({u,w});
}
priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>> pq;
pq.push({0,s});
while(!pq.empty()){
auto [d,u] = pq.top();
pq.pop();
if(d!=dist[u])continue;
if(u==t){
cout<<d<<endl;
return 0;
}
for(edge e:g[u]){
int v = e.to;
ll w = e.w;
if(dist[u]+w<dist[v]){
dist[v] = dist[u]+w;
pq.push({dist[v],v});
}
}
}
return 0;
}