#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
using namespace std;
vector<pair<int, long long>> g[100001];
vector<long long> djk(int x, int n){
priority_queue<pair<long long, int>> q;
vector<long long> dis;
int y;
long long l;
for(int i=0;i<=n;i++){
dis.push_back(LLONG_MAX);
}
dis[x] = 0;
q.push({0, x});
while(!q.empty()){
y = q.top().second;
l = q.top().first;
q.pop();
if(l==dis[y]){
for(pair<int, long long> i : g[y]){
if(dis[i.first]>(l+i.second)){
dis[i.first] = l+i.second;
q.push({dis[i.first], i.first});
}
}
}
}
return dis;
}
int main() {
//ifstream cin("in.in");
ios_base::sync_with_stdio(0);cin.tie(0);
int n, m, s, u, t, v, x, y;
vector<long long> ds, dt, du, dv;
long long l, a;
cin >> n >> m;
cin >> s >> t >> u >> v;
for(int i=1;i<=m;i++){
cin >> x >> y >> l;
g[x].push_back({y, l});
g[y].push_back({x, l});
}
ds = djk(s, n);
dv = djk(v, n);
dt = djk(t, n);
a = ds[v];
l = ds[t];
for(int i=1;i<=n;i++){
if(l==ds[i]+dt[i]){
a = min(a, dv[i]);
}
}
cout << a << '\n';
return 0;
}
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