#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<ll, ll>;
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define mp make_pair
int dx[] = {0, 0, 1, -1};
int dy[] = {1, -1, 0, 0};
template<class X, class Y> bool maximize (X &x, const Y &y) {return x < y ? x = y, 1 : 0;}
template<class X, class Y> bool minimize (X &x, const Y &y) {return x > y ? x = y, 1 : 0;}
const int maxn = 1e5 + 5;
const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
int n, m, a, b, c, d;
vector<pii> adj[maxn];
vector<ll> dijkstra(int s) {
vector<ll> dist(n+1, LLONG_MAX);
dist[s] = 0;
priority_queue<pii> pq;
pq.push({0, s});
while (!pq.empty()) {
ll d = -pq.top().fi;
int u = pq.top().se;
pq.pop();
if (d != dist[u]) continue;
for (auto v : adj[u]) {
if (minimize(dist[v.fi], d + v.se)) pq.push({-dist[v.fi], v.fi});
}
}
return dist;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
//freopen(".INP", "r", stdin);
//freopen(".OUT", "w", stdout);
cin >> n >> m >> a >> b >> c >> d;
for (int i = 1; i <= m; ++i) {
int u, v, w; cin >> u >> v >> w;
adj[u].pb({v, w});
adj[v].pb({u, w});
}
vector<ll> distC = dijkstra(c);
vector<ll> distD = dijkstra(d);
vector<ll> mindistC(n+1, LLONG_MAX); // mindist from c to any node on shortest path from a to i
vector<ll> mindistD(n+1, LLONG_MAX); // mindist from d to any node on shortest path from a to i
vector<ll> dist(n+1, LLONG_MAX);
dist[a] = 0;
mindistC[a] = distC[a];
mindistD[a] = distD[a];
priority_queue<pii> pq;
pq.push({0, a});
while (!pq.empty()) {
ll d = -pq.top().fi;
int u = pq.top().se;
pq.pop();
if (dist[u] != d) continue;
for (auto v : adj[u]) {
if (minimize(dist[v.fi], v.se + d)) {
mindistC[v.fi] = min(mindistC[u], distC[v.fi]);
mindistD[v.fi] = min(mindistD[u], distD[v.fi]);
pq.push({-dist[v.fi], v.fi});
}
else if (dist[v.fi] == v.se + d) {
if (min(mindistC[u], distC[v.fi]) + min(mindistD[u], distD[v.fi]) < mindistC[v.fi] + mindistD[v.fi]) {
mindistC[v.fi] = min(mindistC[u], distC[v.fi]);
mindistD[v.fi] = min(mindistD[u], distD[v.fi]);
pq.push({-dist[v.fi], v.fi});
}
}
}
}
cout << min(distC[d], mindistC[b] + mindistD[b]);
return 0;
}
