#include <bits/stdc++.h>
using namespace std;
#define int long long
// #define endl '\n'
#define ff first
#define ss second
#define pb push_back
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ar array
const int MOD = 1e9 + 7,INF = 1e18, N = 2e5 + 5;
/*
5 2
1 2 2
2 3 2
3 4 2
4 5 2
*/
void solve(){
int n , m;
cin >> n >> m;
int s , t , u , v;
cin >> s >> t >> u >> v;
vector <vector <pair<int,int>>> g(n + 1);
for(int i = 0;i < m;i++){
int a , b , c;
cin >> a >> b >> c;
g[a].pb({b , c});
g[b].pb({a , c});
}
vector <int> path(n + 1);
{
vector <vector <int>> p(n + 1);
vector <int> cnt(n + 1, INF);
cnt[s] = 0;
p[s].pb(-1);
priority_queue <int> q;
q.push(s);
while(!q.empty()){
int x = q.top();
q.pop();
// cout<<x<<endl;
for(auto [i , c] : g[x]){
if(cnt[i] > cnt[x] + c){
// cout<<c<<"c " << endl;
cnt[i] = cnt[x] + c;
p[i].clear();
p[i].pb(x);
q.push(i);
}
else if(cnt[i] == cnt[x] + c){
p[i].pb(x);
}
}
}
// for(int i = 1;i <= n;i++){
// cout<<cnt[i]<<' ';
// }
// cout<<endl;
priority_queue <int> cntp;
cntp.push(t);
while(!cntp.empty()){
int x = cntp.top();
cntp.pop();
for(int i : p[x]){
if(i != -1 && !path[i]){
path[i] = 1;
cntp.push(i);
}
}
}
// for(int i = 0;i <= n;i++){
// cout<<path[i]<<' ';
// }
// cout<<endl;
}
queue <int> q;
q.push(v);
vector <int> cnt(n + 1,INF);
cnt[v] = 0;
while(!q.empty()){
int x = q.front();
q.pop();
for(auto [i , c] : g[x]){
if(cnt[i] > cnt[x] + c){
cnt[i] = cnt[x] + c;
q.push(i);
}
}
}
int ans = INF;
for(int i = 1;i <= n;i++){
if(path[i]){
ans = min(ans , cnt[i]);
}
}
cout<<ans<<endl;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int ti = 1;
while (ti--) {
solve();
}
}
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