#include <bits/stdc++.h>
using namespace std;
#define int long long int
using pi = pair<int, int>;
using vb = vector<bool>;
using vi = vector<int>;
using vvi = vector<vi>;
using vpi = vector<pi>;
using vvpi = vector<vpi>;
struct DSU {
int n; vector<int> par, siz;
DSU(int N) {
n = N;
par.resize(n); iota(par.begin(), par.end(), 0);
siz.assign(n, 1);
}
int find(int v) {
if (v == par[v]) return v;
return par[v] = find(par[v]);
}
void unite(int a, int b) {
a = find(a); b = find(b);
if (a != b) {
if (siz[a] < siz[b]) swap(a, b);
par[b] = a;
siz[a] += siz[b];
}
}
};
const int MAXN = 100'001, MAXM = 200'001;
const int INF = numeric_limits<int>::max();
int n, m, X[MAXM], Y[MAXM], C[MAXM];
int S, T, U, V;
vi adj[MAXN], mst_adj[MAXN];
void dijkstra(int u, vi &dist, vi &par) {
dist.assign(n+1, INF);
par.assign(n+1, -1);
dist[u] = 0; par[u] = -1;
priority_queue<pi, vector<pi>, greater<pi>> q;
q.push({0, u});
while (!q.empty()) {
auto cur = q.top();
q.pop();
int cu = cur.second, cdist = cur.first;
for (auto &el : adj[cu]) {
int cv = X[el] == cu ? Y[el] : X[el];
int vdist = C[el];
if(dist[cu] + vdist < dist[cv]) {
par[cv] = cu;
dist[cv] = dist[cu] + vdist;
q.push({dist[cu] + vdist, cv});
}
}
}
}
signed main() {
cin >> n >> m;
cin >> S >> T >> U >> V;
for (int i = 1; i <= m; i++) {
cin >> X[i] >> Y[i] >> C[i];
adj[X[i]].push_back(i);
adj[Y[i]].push_back(i);
}
vi edges(m+1); iota(edges.begin(), edges.end(), 0);
sort(edges.begin(), edges.end(), [&](int a, int b) {return C[a] < C[b];});
auto dsu = DSU(n+1);
for (auto &edge : edges) {
if (dsu.find(X[edge]) == dsu.find(Y[edge])) continue;
dsu.unite(X[edge], Y[edge]);
mst_adj[X[edge]].push_back(edge);
mst_adj[Y[edge]].push_back(edge);
}
vvi dist(n+1, vi());
vvi parents(n+1, vi());
for (int i = 1; i <= n; i++) {
dijkstra(i, dist[i], parents[i]);
}
int stdist = dist[S][T];
vi on_sp; for (int i = 1; i <= n; i++) {
if (dist[i][S] + dist[i][T] != stdist) continue;
on_sp.push_back(i);
}
int best = dist[U][V];
for (auto &x : on_sp) {
for (auto &y : on_sp) {
if (dist[S][x] + dist[T][y]+ dist[x][y] != stdist) continue;
best = min(best, dist[U][x] + dist[V][y]);
}
for (auto &y : on_sp) {
if (dist[T][x] + dist[S][y]+ dist[x][y] != stdist) continue;
best = min(best, dist[U][x] + dist[V][y]);
}
}
cout << best;
return 0;
}
