#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m;
cin>>n>>m;
ll s,t;
cin>>s>>t;
ll u,v;
cin>>u>>v;
auto dist=vector(n+5,vector<ll>(n+5,1e18));
for(ll i=1;i<=n;i++){
dist[i][i]=0;
}
vector<pair<ll,ll>>g[n+5];
for(ll i=1;i<=m;i++){
ll a,b,c;
cin>>a>>b>>c;
dist[a][b]=c;
dist[b][a]=c;
}
for(ll k=1;k<=n;k++){
for(ll i=1;i<=n;i++){
for(ll j=1;j<=n;j++){
dist[i][j]=min(dist[i][j],dist[i][k]+dist[k][j]);
}
}
}
ll ans=dist[u][v];
for(ll i=1;i<=n;i++){
for(ll j=1;j<=n;j++){//s->i->j->t
if(dist[s][i]+dist[i][j]+dist[j][t]==dist[s][t]){
ans=min(ans,dist[u][i]+dist[j][v]);
}
}
}
cout<<ans;
}
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