#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, r, l) for(int i = r; i >= l; i--)
#define __TIME (1.0 * clock() / CLOCKS_PER_SEC)
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
const int N = 1e6 + 5;
const int oo = 1e18, mod = 1e9 + 7;
int n, m, k, points[5], vis[N], dpU[N], dpV[N], ans;
vector<ii> adj[N];
vector<int> dag[N];
int dist[N][5];
bool mini(int &a, const int b) {
if (a>b) {
a=b; return true;
} else {
return false;
}
}
bool maxi(int &a, const int b) {
if (a<b) {
a=b;
return true;
} else {
return false;
}
}
void dfs(int u, int par) {
for (auto v: dag[u]) {
if (v==par) continue;
dfs(v,u);
mini(dpU[u], min(dpU[v], dist[v][3]));
mini(dpV[u], min(dpV[v], dist[v][4]));
}
mini(ans, dpU[u]+dist[u][4]);
mini(ans, dpV[u]+dist[u][3]);
}
void dijkstra(int s) {
foru(i,1,n) dist[i][s]=oo;
priority_queue <pair <long long, int>> pq;
pq.push(make_pair(dist[points[s]][s] = 0, points[s]));
while (!pq.empty()) {
//auto [du, u] = pq.top(); pq.pop();
pair<long long, long long> tmp=pq.top(); pq.pop();
long long du=tmp.first, u=tmp.second;
du = -du;
if (du != dist[u][s]) continue;
/* for (auto [w, v]: adj[u]) if (dist[v] > du + w) {
dist[v] = du + w;
pq.push(make_pair(-dist[v], v));
}*/
for (pair<long long, long long> nxt: adj[u]) if (dist[nxt.second][s] > du + nxt.first) {
dist[nxt.second][s] = du + nxt.first;
pq.push(make_pair(-dist[nxt.second][s], nxt.second));
}
}
}
void process() {
cin >> n >> m;// 1 2 3 4
foru(i,1,4) cin >> points[i];
foru(i,1,m) {
int u, v, c;
cin >> u >> v >> c;
adj[u].pb({c,v});
adj[v].pb({c,u});
}
foru(i,1,4) dijkstra(i);
foru(x,1,n) {
for (auto tmp: adj[x]) {
int y=tmp.se, w=tmp.fi;
if (dist[x][1] + w + dist[y][2] == dist[points[2]][1]) {
dag[x].pb(y);
}
}
}
ans=dist[points[3]][4];
memset(dpU, 0x3f, sizeof(dpU));
memset(dpV, 0x3f, sizeof(dpV));
dfs(points[1], 0);
cout << ans;
return;
}
signed main() {
cin.tie(0)->sync_with_stdio(false);
//freopen(".inp", "r", stdin);
//freopen(".out", "w", stdout);
process();
cerr << "Time elapsed: " << __TIME << " s.\n";
return 0;
}
