#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pii pair<int,int>
#define int long long
const int mn = 2e5 + 5, inf = 2e18;
int n, m, k, d[3][mn], dp[mn][2][2];
vector <pii> a[mn], b[mn];
void dijkstra(int aa, int d[]){
fill(d, d + mn, inf);
d[aa] = 0;
priority_queue <pii, vector <pii>, greater <pii>> pq;
pq.push({d[aa], aa});
while(pq.size()){
int u = pq.top().se;
int c = pq.top().fi;
pq.pop();
if(d[u] < c) continue;
for(auto i : a[u]){
int v = i.fi, w = i.se;
if(d[v] > w + c){
d[v] = w + c;
pq.push({d[v], v});
}
}
}
}
void solve(){
cin >> n >> m;
int aa, bb, cc, dd; cin >> aa >> bb >> cc >> dd;
vector <pair<pii, int>> edges;
for(int i = 1; i <= m; i++){
int u, v, c; cin >> u >> v >> c;
a[u].push_back({v, c});
a[v].push_back({u, c});
}
dijkstra(aa, d[1]);
dijkstra(bb, d[2]);
priority_queue <pair<pii, pii>, vector <pair<pii, pii>>, greater<pair<pii, pii>>> pq;
int path = d[1][bb];
fill(&dp[0][0][0], &dp[0][0][0] + mn * 2 * 2, inf);
dp[cc][0][0] = 0;
pq.push({{dp[cc][0][0], cc}, {0, 0}});
while(pq.size()){
int c, u, c1, c2;
tie(c, u) = pq.top().fi, tie(c1, c2) = pq.top().se;
pq.pop();
if(c > dp[u][c1][c2]) continue;
for(auto i : a[u]){
int v = i.fi, w = i.se;
if(d[1][u] + w + d[2][v] == path){
if(c1 == 1 && c2 == 0){
if(dp[v][1][0] > dp[u][1][0]){
dp[v][1][0] = dp[u][1][0];
pq.push({{dp[v][1][0], v}, {1, 0}});
}
}
else if(c1 == 0 && c2 == 0){
if(dp[v][1][0] > dp[u][0][0]){
dp[v][1][0] = dp[u][0][0];
pq.push({{dp[v][1][0], v}, {1, 0}});
}
}
}
else if(d[1][v] + w + d[2][u] == path){
if(c1 == 1 && c2 == 1){
if(dp[v][1][1] > dp[u][1][1]){
dp[v][1][1] = dp[u][1][1];
pq.push({{dp[v][1][1], v}, {1, 1}});
}
}
else if(c1 == 0 && c2 == 0){
if(dp[v][1][1] > dp[u][0][0]){
dp[v][1][1] = dp[u][0][0];
pq.push({{dp[v][1][1], v}, {1, 1}});
}
}
}
if(c1 == 0 && dp[v][c1][c2] > dp[u][c1][c2] + w){
dp[v][c1][c2] = dp[u][c1][c2] + w;
pq.push({{dp[v][c1][c2], v}, {c1, c2}});
}
if((c1 == 1 && c2 == 0) || (c1 == 1 && c2 == 1)){
if(dp[v][0][1] > dp[u][c1][c2] + w){
dp[v][0][1] = dp[u][c1][c2] + w;
pq.push({{dp[v][0][1], v}, {0, 1}});
}
}
}
}
// cout << dp[dd][0][1] << '\n';
cout << min({dp[dd][0][0], dp[dd][1][0], dp[dd][1][1], dp[dd][0][1]});
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
if(fopen("tunnel.inp", "r")){
freopen("tunnel.inp", "r", stdin);
freopen("tunnel.out", "w", stdout);
}
int t = 1;
// cin >> t;
while(t--) solve();
return 0;
}
Compilation message (stderr)
commuter_pass.cpp: In function 'int main()':
commuter_pass.cpp:103:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
103 | freopen("tunnel.inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
commuter_pass.cpp:104:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
104 | freopen("tunnel.out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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