#include <bits/stdc++.h>
#pragma GCC optimize ("O3,unroll-loops")
#pragma GCC target ("avx2,bmi,bmi2,popcnt,lzcnt")
using namespace std;
const int64_t N=100005;
vector<pair<int64_t,int64_t>> mas[N];
int64_t dS[N];
int64_t dT[N];
int64_t dV[N];
int64_t dU[N];
int64_t n,m;
int64_t s,t;//commuter pass
int64_t u,v;
void dijkstra(int64_t start, int64_t* dist){
priority_queue<pair<int64_t,int64_t>,vector<pair<int64_t,int64_t>>,greater<pair<int64_t,int64_t>>> pq;
dist[start]=0;
pq.push({0,start});
while(!pq.empty()){
int64_t 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});
}
}
}
}
int64_t df[305][305];
bool vis[N];
bool vis2[N];
int64_t dpX[N];//best distance from x to v
int64_t dpY[N];//best distance from x to v
void dfs(int v, int dep=0){
vis[v]=1;
int64_t best=LLONG_MAX;
//cout<<"lookup:"<<v<<' '<<dep<<'\n';
for(auto p:mas[v]){
int u=p.first;
int c=p.second;
if(dS[u]+dT[u]!=dS[t])continue;
if(dT[u]>dT[v])continue;
if(!vis[u]){
dfs(u,dep+1);
}
best=min(best,dpX[u]);
}
dpX[v]=min(dV[v],best);
}
void dfs2(int v, int dep=0){
vis2[v]=1;
int64_t best=LLONG_MAX;
//cout<<"lookup2:"<<v<<' '<<dep<<'\n';
for(auto p:mas[v]){
int u=p.first;
int c=p.second;
if(dS[u]+dT[u]!=dS[t])continue;
if(dS[u]>dS[v])continue;
if(!vis2[u]){
dfs2(u,dep+1);
}
best=min(best,dpY[u]);
}
dpY[v]=min(dV[v],best);
}
void solve(){
cin>>n>>m;
for(int64_t i=0;i<=n;i++){
dS[i]=LLONG_MAX/4;
dT[i]=LLONG_MAX/4;
dV[i]=LLONG_MAX/4;
dU[i]=LLONG_MAX/4;
dpX[i]=LLONG_MAX/4;
dpY[i]=LLONG_MAX/4;
}
cin>>s>>t;
cin>>u>>v;
for(int64_t i=0;i<m;i++){
int64_t x,y,c;
cin>>x>>y>>c;
mas[x].push_back({y,c});
mas[y].push_back({x,c});
df[x][y]=c;
df[y][x]=c;
}
dijkstra(s,dS);
dijkstra(t,dT);
dijkstra(u,dU);
dijkstra(v,dV);
dfs(s);
dfs2(t);
int64_t ans=dU[v];
//cout<<"0: "<<ans<<'\n';
for(int x=1;x<=n;x++){
ans=min({ans,dU[x]+dpX[x],dU[x]+dpY[x]});
//cout<<x<<": "<<ans<<'\n';
}
cout<<ans<<'\n';
}
int main()
{
ios_base::sync_with_stdio(false);cin.tie(NULL);
int64_t t=1;
//cin>>t;
while(t--){
solve();
}
return 0;
}
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