#include <bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#define endl "\n"
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
const ll mod = 1e12 + 7;
template<class T> inline void fix(T &x) {if(x >= mod | x <= -mod) {x %= mod;} if(x < 0) {x += mod;}}
#define out(x) cout << __LINE__ << ": " << (#x) << " = " << (x) << endl
const ll MAX_N = 1e5 + 10;
ll helpDist[3][MAX_N];
vector<pair<ll, ll> > g[MAX_N];
ll dist[4 * MAX_N];
ll n, m;
void helpDij(ll ind, ll start) {
for(ll i = 0; i < MAX_N; i ++) {
helpDist[ind][i] = mod;
}
helpDist[ind][start] = 0;
priority_queue<pair<ll, ll> > pq;
pq.push({0, start});
while(!pq.empty()) {
auto curr = pq.top(); pq.pop();
curr.first *= -1;
if(curr.first != helpDist[ind][curr.second]) {continue;}
for(auto it : g[curr.second]) {
if(helpDist[ind][it.first] > curr.first + it.second) {
helpDist[ind][it.first] = curr.first + it.second;
pq.push({-helpDist[ind][it.first], it.first});
}
}
}
}
ll dij(ll start, ll fin) {
for(ll i = 0; i < MAX_N; i ++) {
for(ll j = 0; j < 4; j ++) {
dist[i + j * MAX_N] = mod;
}
}
priority_queue<pair<ll, ll > > pq;
dist[start] = 0;
pq.push({0, start});
while(!pq.empty()) {
auto curr = pq.top(); pq.pop();
curr.first *= -1;
if(curr.first != dist[curr.second]) {continue;}
ll x = curr.second % MAX_N, mask = curr.second / MAX_N;
for(auto it : g[x]) {
if(dist[it.first + mask * MAX_N] > curr.first && helpDist[2][it.first] >= helpDist[2][x]) {
dist[it.first + mask * MAX_N] = curr.first;
pq.push({-dist[it.first + mask * MAX_N], it.first + mask * MAX_N});
}
}
if(!(mask & 1)) {
if(dist[curr.second + MAX_N] > curr.first + helpDist[0][x]) {
dist[curr.second + MAX_N] = curr.first + helpDist[0][x];
pq.push({-dist[curr.second + MAX_N], curr.second + MAX_N});
}
}
if(!(mask & 2)) {
if(dist[curr.second + 2 * MAX_N] > curr.first + helpDist[1][x]) {
dist[curr.second + 2 * MAX_N] = curr.first + helpDist[1][x];
pq.push({-dist[curr.second + 2 * MAX_N], curr.second + 2 * MAX_N});
}
}
}
return dist[fin + 3 * MAX_N];
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> n >> m;
ll s, t, u, v;
cin >> s >> t >> u >> v;
for(ll i = 0; i < m; i ++) {
ll a, b, c;
cin >> a >> b >> c;
g[a].push_back({b, c});
g[b].push_back({a, c});
}
helpDij(0, u);
helpDij(1, v);
helpDij(2, s);
cout << min(dij(s, t), helpDist[0][v]) << endl;
return 0;
}
