This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
vector <pair<int,long long> > edge[100005];
long long dis[100005][8];
priority_queue <pair<long long,int> > pq;
priority_queue <pair<pair<long long,long long>,int> > pq2;
int a[8];
bool vis[100005];
int main(){
// ios::sync_with_stdio(false);
int n,m;
cin >> n >> m >> a[1] >> a[2] >> a[3] >> a[4];
for (int i=1;i<=m;i++){
int u,v,w;
cin >> u >> v >> w;
edge[u].push_back({v,w});
edge[v].push_back({u,w});
}
for (int i=1;i<=4;i++){
for (int j=1;j<=n;j++) dis[j][i]=-1;
pq.push({0,a[i]});
while (!pq.empty()){
long long d=-pq.top().first;
int id=pq.top().second; pq.pop();
if (dis[id][i] == -1){
dis[id][i]=d;
for (auto j:edge[id]){
if (dis[j.first][i] == -1) pq.push({-(d+j.second),j.first});
}
}
}
}
// cout << "hi\n";
long long ans=dis[a[4]][3];
pq2.push({{0,-1e18},a[1]});
while (!pq2.empty()){
long long d=-pq2.top().first.first,mn=-pq2.top().first.second;
int id=pq2.top().second; pq2.pop();
if (!vis[id]){
vis[id]=true;
// mn=min(mn,dis[id][3]);
// cout << mn << " " << dis[id][4] << " " << id << "\n";
if (dis[id][1]+dis[id][2] == dis[a[2]][1]) ans=min(ans,mn+dis[id][4]);
for (auto j:edge[id]){
if (!vis[j.first]) pq2.push({{-(d+j.second),-mn},j.first});
}
}
}
for (int i=1;i<=n;i++) vis[i]=false;
pq2.push({{0,-1e18},a[1]});
while (!pq2.empty()){
long long d=-pq2.top().first.first,mn=-pq2.top().first.second;
int id=pq2.top().second; pq2.pop();
if (!vis[id]){
vis[id]=true;
mn=min(mn,dis[id][4]);
// cout << mn << " " << dis[id][4] << " " << id << "\n";
if (dis[id][1]+dis[id][2] == dis[a[2]][1]) ans=min(ans,mn+dis[id][3]);
for (auto j:edge[id]){
if (!vis[j.first]) pq2.push({{-(d+j.second),-mn},j.first});
}
}
}
cout << ans << "\n";
return 0;
}
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