#include <bits/stdc++.h>
using namespace std;
const int N=100005;
vector<pair<int,int>> mas[N];
int dS[N];
int dT[N];
int dV[N];
int dU[N];
int n,m;
int s,t;//commuter pass
int u,v;
void dijkstra(int start, int* dist){
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> pq;
dist[start]=0;
pq.push({0,start});
while(!pq.empty()){
int x=pq.top().second;
pq.pop();
for(auto p:mas[x]){
if(dist[x]+p.second<dist[p.first]){
dist[p.first]=dist[x]+p.second;
pq.push({dist[p.first],p.first});
}
}
}
}
void dijkstra2(int start, int* dist){
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> pq;
dist[start]=0;
pq.push({0,start});
while(!pq.empty()){
int x=pq.top().second;
pq.pop();
for(auto p:mas[x]){
int cost=p.second;
if(dS[x]+dT[x]==dS[t]&&dS[p.first]+dT[p.first]==dS[t]){
cost=0;
}
if(dist[x]+cost<dist[p.first]){
dist[p.first]=dist[x]+cost;
pq.push({dist[p.first],p.first});
}
}
}
}
void solve(){
cin>>n>>m;
for(int i=0;i<=n;i++){
dS[i]=N;
dT[i]=N;
dV[i]=N;
dU[i]=N;
}
cin>>s>>t;
cin>>u>>v;
for(int i=0;i<m;i++){
int x,y,c;
cin>>x>>y>>c;
mas[x].push_back({y,c});
mas[y].push_back({x,c});
}
dijkstra(s,dS);
dijkstra(t,dT);
dijkstra2(v,dV);
dijkstra2(u,dU);
int ans=INT_MAX;
for(int i=1;i<=n;i++){
//cout<<"i: "<<i<<' '<<dS[i]<<' '<<dT[i]<<'\n';
if(dS[i]+dT[i]==dS[t]){
ans=min(ans,dV[i]+dU[i]);
}
}
cout<<ans<<'\n';
}
int main()
{
ios_base::sync_with_stdio(false);cin.tie(NULL);
int t=1;
//cin>>t;
while(t--){
solve();
}
return 0;
}
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