#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define sz(x) (x).size()
#define ln '\n'
const int N = 1e5 + 7;
const int inf = 2e18;
vector<pair<int, int>> g[N];
int n, m, A, B, C, D;
int f[4][N];
void dijkstra(int st, int id) {
for(int i = 1; i <= n; i++) f[id][i] = inf;
priority_queue<pair<int, int>> q;
f[id][st] = 0;
q.push({0, st});
while(sz(q)) {
auto cur = q.top(); q.pop();
int u = cur.se, W = -cur.fi;
if(W > f[id][u]) continue;
for(auto y : g[u]) {
int v = y.fi, w = y.se;
if(f[id][v] > W + w) {
f[id][v] = W + w;
q.push({-f[id][v], v});
}
}
}
}
vector<pair<int, int>> dag[N];
int indeg[N];
int calc(int i1, int i2, int st, int en) {
for(int i = 1; i <= n; i++) dag[i].clear();
int path = f[i1][en];
// cout << "TURN " << st << ' ' << en << ' ' << path << ln;
for(int u = 1; u <= n; u++) {
for(auto x : g[u]) {
int v = x.fi, w = x.se;
if(f[i1][u] + w + f[i2][v] == path or f[i1][v] + w + f[i2][u] == path) {
// cerr << u << ' ' << v << ' ' << f[i1][u] << ' ' << f[i1][v] << ln;
if(f[i1][u] < f[i1][v]) dag[u].pb({v, 0});
else dag[u].pb({v, w});
} else {
dag[u].pb({v, w});
}
}
}
// for(int i = 1; i <= n; i++) {
// for(auto x : dag[i]) {
// cerr << i << ' ' << x.fi << ' ' << x.se << ln;
// }
// }
priority_queue<pair<int, int>> q;
for(int i = 1; i <= n; i++) f[2][i] = inf;
f[2][C] = 0;
q.push({0, C});
while(sz(q)) {
auto cur = q.top(); q.pop();
int u = cur.se, W = -cur.fi;
if(W > f[2][u]) continue;
// cerr <<"PAR: " << u << ' ' << W << ln;
for(auto y : dag[u]) {
int v = y.fi, w = y.se;
// cerr << v << ' ' << w << ln;
if(f[2][v] > W + w) {
f[2][v] = W + w;
q.push({-f[2][v], v});
}
}
}
return f[2][D];
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
if(fopen("tunnel.inp", "r")) {
freopen("tunnel.inp", "r", stdin);
freopen("tunnel.out", "w", stdout);
}
cin >> n >> m;
cin >> A >> B >> C >> D;
for(int i = 1; i <= m; i++) {
int u, v, w; cin >> u >> v >> w;
g[u].pb({v, w});
g[v].pb({u, w});
}
dijkstra(A, 0);
dijkstra(B, 1);
// cout << calc(0, 1, A, B);
cout << min(calc(0, 1, A, B), calc(1, 0, B, A));
}
Compilation message (stderr)
commuter_pass.cpp: In function 'int main()':
commuter_pass.cpp:84:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
84 | freopen("tunnel.inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
commuter_pass.cpp:85:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
85 | freopen("tunnel.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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