#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define ll long long
#define mp(x, y) make_pair(x, y)
#define sz(v) ((int) (v).size())
#define all(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define BIT(x, y) (((x) >> (y)) & 1)
#define pb push_back
#define max_rng *max_element
#define min_rng *min_element
#define rep(i, n) for(int i = 1, _n = (n); i <= _n; ++i)
#define forn(i, a, b) for(int i = (a), _b = (b); i <= _b; ++i)
#define ford(i, a, b) for(int i = (a), _b = (b); i >= _b; --i)
template <class X, class Y>
inline bool maximize(X &x, Y y) {
return (x < y ? x = y, true : false);
}
template <class X, class Y>
inline bool minimize(X &x, Y y) {
return (x > y ? x = y, true : false);
}
template <class X>
inline void compress(vector<X> &a) {
sort(all(a));
a.resize(unique(all(a)) - a.begin());
}
int ctz(ll x) { return __builtin_ctzll(x); }
int lg(ll x) { return 63 - __builtin_clzll(x); }
int popcount(ll x) { return __builtin_popcount(x); }
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rand(ll l, ll r) {
return l + abs((ll) rng()) % (r - l + 1);
}
const ll oo = (ll) 1e17;
const int inf = (ll) 2e9 + 7, mod = (ll) 1e9 + 7;
const int mxn = 2e5 + 5, mxm = 3e2 + 5;
const int LG = 18, BASE = 311, BLOCK = 350;
void add(int &x, int y) { x += y; if (x >= mod) x -= mod; }
void sub(int &x, int y) { x -= y; if (x < 0) x += mod; }
int n, m;
int s, t, u, v;
struct Edge {
int u, v, w;
} e[mxn];
vector<pair<int, int>> g[mxn];
vector<int> dag[mxn];
ll dist_u[mxn], dist_v[mxn];
void calc(int s, ll dp[]) {
fill(dp, dp + n + 1, oo);
priority_queue<pair<ll, int>> pq;
dp[s] = 0;
pq.push(mp(0, s));
while (!pq.empty()) {
pair<ll, int> top = pq.top(); pq.pop();
int u = top.se; ll dist = -top.fi;
if (dp[u] != dist) continue;
for (pair<int, int> i : g[u]) {
ll d = dist + e[i.second].w;
if (minimize(dp[i.first], d)) {
pq.push(mp(-d, i.first));
}
}
}
return;
}
ll f[mxn];
struct Path {
ll dist;
int u, par;
bool operator < (const Path &p) const {
return dist > p.dist;
}
};
ll dpU[mxn], dpV[mxn];
ll dijkstra(int s, int t, int out, ll dp[], ll d[]) {
fill(f, f + 1 + n, oo);
fill(dp, dp + 1 + n, oo);
priority_queue<Path> pq;
f[s] = 0;
pq.push({0, s, 0});
while (!pq.empty()) {
Path top = pq.top(); pq.pop();
if (f[top.u] != top.dist)
continue;
minimize(dp[top.u], min(d[top.u], dp[top.par]));
for (pair<int, int> i : g[top.u]) {
if (minimize(f[i.first], top.dist + e[i.second].w)) {
pq.push({top.dist + e[i.second].w, i.first, top.u});
} else if (f[i.first] == top.dist + e[i.second].w) {
minimize(dp[i.first], min(d[i.first], dp[top.u]));
}
}
}
return dp[t];
}
int main(void) {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#define TASK "cquery"
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
cin >> n >> m;
cin >> s >> t >> u >> v;
rep(i, m) {
int u, v, w;
cin >> u >> v >> w;
e[i] = {u, v, w};
g[u].pb(mp(v, i));
g[v].pb(mp(u, i));
}
calc(u, dist_u);
calc(v, dist_v);
ll ans = dist_u[v];
minimize(ans, dijkstra(s, t, u, dpU, dist_u) + dijkstra(s, t, v, dpV, dist_v));
minimize(ans, dijkstra(t, s, u, dpU, dist_u) + dijkstra(t, s, v, dpV, dist_v));
cout << ans;
return 0;
}
