#include "bits/stdc++.h"
#define ll long long
using namespace std;
int n, m, s, t, u, v;
int a[100005];
ll dist[305][305];
vector<pair<int, ll>> node[100005];
ll ans;
int par[100005];
ll dist2[100005];
void s1() {
for(int k = 1; k <= n; k++) {
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
if(dist[i][k] + dist[k][j] < dist[i][j])
dist[i][j] = dist[i][k] + dist[k][j];
}
}
}
ans = dist[u][v];
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
if(dist[s][i] + dist[i][j] + dist[j][t] == dist[s][t] || dist[s][j] + dist[j][i] + dist[i][t] == dist[s][t])
ans = min(ans, dist[u][i] + dist[j][v]);
}
}
cout << ans;
exit(0);
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> n >> m >> s >> t >> u >> v;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++)
dist[i][j] = 1e18;
dist[i][i] = 0;
}
for(int i = 0; i < m; i++) {
int a, b;
ll c;
cin >> a >> b >> c;
node[a].push_back({b, c});
node[b].push_back({a, c});
dist[a][b] = dist[b][a] = c;
}
if(n <= 300)
s1();
set<pair<ll, int>> ss;
ss.insert({0, t});
// subtask 1 and 2
bool b[n + 1] = {};
b[v] = 1;
for(int i = 1; i <= n; i++)
dist2[i] = 1e18;
dist2[t] = 0;
while(ss.size()) {
auto [dis, x] = *ss.begin();
ss.erase(ss.begin());
if(dis > dist2[x])
continue;
if(x == s)
break;
for(auto [y, d] : node[x]) {
if(dis + d < dist2[y]) {
if(y != v)
b[y] = b[x];
par[y] = x;
dist2[y] = dis + d;
ss.insert({dist2[y], y});
}
else if(dis + d == dist2[y] && b[x]) {
b[y] = b[x];
par[y] = x;
}
}
}
swap(s, t);
while(t != s) {
int sz = node[t].size();
for(int i = 0; i < sz; i++) {
if(node[t][i].first == par[t]) {
node[t][i].second = 0;
break;
}
}
sz = node[par[t]].size();
for(int i = 0; i < sz; i++) {
if(node[par[t]][i].first == t) {
node[par[t]][i].second = 0;
break;
}
}
t = par[t];
}
ss.clear();
ss.insert({0, u});
for(int i = 1; i <= n; i++)
dist2[i] = 1e18;
dist2[u] = 0;
while(ss.size()) {
auto [dis, x] = *ss.begin();
ss.erase(ss.begin());
if(dis > dist2[x])
continue;
if(x == v) {
cout << dis;
return 0;
}
for(auto [y, d] : node[x]) {
if(dis + d < dist2[y]) {
dist2[y] = dis + d;
ss.insert({dist2[y], y});
}
}
}
return 0;
}
