#include<bits/stdc++.h>
#define ll long long
#define vl vector<ll>
#define pb push_back
#define sz(v) (ll)(v.size())
#define f first
#define s second
#define pll pair<ll, ll>
using namespace std;
const ll sz = 2e5+5;
vector<pll>g[sz];
ll vis[sz], dist[sz], par[sz];
void dijkstra(ll node, ll n)
{
for(ll i = 0; i <= n; i++){
dist[i] = 1000000000000000;
vis[i] = 0;
}
dist[node] = 0;
priority_queue<pll>pq;
pq.push({0, node});
while(!pq.empty())
{
ll nd = pq.top().s;
pq.pop();
if(vis[nd])
continue;
vis[nd] = 1;
for(auto [u, w] : g[nd])
{
if(dist[u] > dist[nd] + w)
{
dist[u] = dist[nd] + w;
par[u] = nd;
pq.push({-dist[u], u});
}
}
}
}
void solve()
{
ll n, m, i, j;
cin >> n >> m;
ll s, t, u, v;
cin >> s >> t;
cin >> u >> v;
map<pll, ll>mp;
for(i = 1; i <= m; i++)
{
ll x, y, z;
cin >> x >> y >> z;
mp[{x, y}] = z;
mp[{y, x}] = z;
g[x].pb({y, z});
g[y].pb({x, z});
}
dijkstra(s, n);
ll f = t;
while(f != s)
{
mp[{f, par[f]}] = 0;
mp[{par[f], f}] = 0;
f = par[f];
}
for(i = 1; i <= n; i++)
g[i].clear();
for(auto u : mp){
g[u.f.f].pb({u.f.s, u.s});
g[u.f.s].pb({u.f.f, u.s});
}
dijkstra(u, n);
cout << dist[v] << "\n";
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
ll tests = 1;
//cin >> tests;
while(tests--)
{
solve();
}
}
