#include "bits/stdc++.h"
using namespace std;
#define ff first
#define ss second
#define all(v) v.begin(), v.end()
#define ll long long
#define pb push_back
#define pii pair<int, int>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define tr(i, c) for(auto i = c.begin(); i != c.end(); ++i)
#define wr puts("----------------")
template<class T>bool umin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
template<class T>bool umax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
const int N = 1e5+5;
const ll INF = 1e18;
vector<pii> adj[N];
ll dis[N], diss[N];
int n;
void dij(int s){
for(int i = 1; i <= n; ++i)
dis[i] = INF;
priority_queue<pli, vector<pli>, greater<pli>> pq;
pq.push({0, s});
dis[s] = 0;
while(!pq.empty()){
int x = pq.top().ss;
ll val = pq.top().ff;
pq.pop();
if(dis[x] != val)
continue;
tr(it, adj[x]){
int a = it->ff, w = it->ss;
if(umin(dis[a], dis[x]+w))
pq.push({dis[a], a});
}
}
}
int main(){
int m, s, t, u, v;
scanf("%d%d%d%d%d%d", &n, &m, &s, &t, &u, &v);
using node = tuple<int, int, int>;
vector<node> A;
for(int i = 1; i <= m; ++i){
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
adj[a].pb({b, c});
adj[b].pb({a, c});
A.pb({a, b, c});
}
ll possible = -1;
dij(u);
possible = dis[v];
dij(s);
for(int i = 1; i <= n; ++i)
diss[i] = dis[i];
dij(t);
for(auto &i : A){
int a, b, c;
tie(a, b, c) = i;
if(diss[a]+dis[b]+c==diss[t]){
adj[a].pb({b, 0});
adj[b].pb({a, 0});
}
}
dij(u);
assert(~possible);
printf("%lld\n", min(possible, dis[v]));
return 0;
}
