#include <bits/stdc++.h>
using namespace std;
const long long INF = 1e18;
vector<vector<pair<int, int>>> g;
void djikstra(int src, vector<long long> &sp) {
priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> pq;
sp[src] = 0;
pq.push({0, src});
while (pq.size()) {
int u = pq.top().second;
pq.pop();
for (auto [v, w] : g[u])
if (sp[v] > sp[u] + w)
sp[v] = sp[u] + w, pq.push({sp[v], v});
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m, S, T, U, V;
cin >> n >> m >> S >> T >> U >> V;
--S, --T, --U, --V;
g.resize(n);
for (int i = 0; i < m; i++) {
int a, b, c;
cin >> a >> b >> c;
--a, --b;
g[a].push_back({b, c});
g[b].push_back({a, c});
}
vector<vector<long long>> sp(4, vector<long long> (n, INF));
djikstra(S, sp[0]);
djikstra(T, sp[1]);
djikstra(U, sp[2]);
djikstra(V, sp[3]);
long long d1 = INF, d2 = INF;
for (int i = 0; i < n; i++) {
if (sp[0][i] + sp[1][i] == sp[0][T]) {
d1 = min(d1, sp[2][i]);
d2 = min(d2, sp[3][i]);
}
}
cout << min({d1 + min(sp[0][V], sp[1][V]), d2 + min(sp[0][U], sp[1][U]), sp[2][V]}) << '\n';
}
