#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int mxN = 1e5+10;
vector<array<ll, 2>> adj[mxN];
ll dv[mxN], du[mxN], ans, dp[mxN][2], ds[mxN];
bool vis[mxN];
void dijkstra(int node, ll arr[]) {
memset(vis, false, sizeof vis);
priority_queue<array<ll, 2>, vector<array<ll, 2>>, greater<array<ll, 2>>> q;
q.push({0, node});
while(!q.empty()) {
ll dist = q.top()[0], node = q.top()[1];
q.pop();
if(!vis[node]) {
vis[node] = true;
arr[node] = dist;
for(auto [it, w] : adj[node]) {
if(!vis[it]) {
q.push({dist+w, it});
}
}
}
}
}
void dijkstra2(int node, int fin) {
memset(vis, false, sizeof vis);
memset(dp, 0x3F, sizeof dp);
priority_queue<array<ll, 3>, vector<array<ll, 3>>, greater<array<ll, 3>>> q;
q.push({0, node, 0});
while(!q.empty()) {
ll dist = q.top()[0], node = q.top()[1], p = q.top()[2];
q.pop();
if(!vis[node]) {
vis[node] = true;
ds[node] = dist;
dp[node][0] = min(dp[p][0], du[node]);
dp[node][1] = min(dp[p][1], dv[node]);
for(auto [it, w] : adj[node]) {
if(!vis[it]) {
q.push({dist+w, it, node});
}
}
}
else {
if(dist != ds[node]) continue;
ll f = min(dp[p][0], du[node]), s = min(dp[p][1], dv[node]);
if(f + s < dp[node][0] + dp[node][1]) {
dp[node][0] = f;
dp[node][1] = s;
}
}
}
ans = min(ans, dp[fin][0] + dp[fin][1]);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m, s, t, u, v;
cin >> n >> m >> s >> t >> u >> v;
while(m--) {
ll a, b, c;
cin >> a >> b >> c;
adj[a].push_back({b, c});
adj[b].push_back({a, c});
}
dijkstra(u, du);
dijkstra(v, dv);
ans = du[v];
dijkstra2(s, t);
cout << ans;
return 0;
}
