#include <bits/stdc++.h>
//qwerty47924692
using namespace std;
using ll = long long;
const ll N=2e5+29;
const string br="617283";
#define sz(a)(ll)a.size()
#define f first
#define s second
ll n,s,t,a,b,d[N],pr[N],m,used[N],id[N];
vector<pair<ll,ll>>g[N];
ll cost[N];
void djikstra(ll s,ll t){
for(ll i=1;i<=n;i++){
d[i]=1e18;
used[i]=0;
pr[i]=-1;
}
pr[s]=0;
d[s]=0;
priority_queue<pair<ll,ll>>q;
q.push({0,s});
while(q.size()){
ll v=q.top().s;
q.pop();
if(used[v])continue;
used[v]=1;
for(auto [to,i]:g[v]){
ll w=cost[i];
if(d[to]>d[v]+w){
d[to]=d[v]+w;
pr[to]=v;
id[to]=i;
q.push({-d[to],to});
}
}
}ll v=t;
while(v!=s){
cost[id[v]]=0;
v=pr[v];
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n>>m>>s>>t>>a>>b;
for(ll i=1;i<=m;i++){
ll v,u,w;
cin>>v>>u>>w;
cost[i]=w;
g[v].push_back({u,i});
g[u].push_back({v,i});
}
djikstra(s,t);
djikstra(a,b);
cout<<d[b];
}
