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>
#define fi first
#define se second
using namespace std;
using ll = long long;
using ii = pair<ll, ll>;
using aa= array<ll,3>;
const int N = 1e6+5;
const int INF = 1e9;
ll sr[100001][2];
ll d[100001][2];
ll D[100001][2];
vector<ii> adj[100001];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
ll n,m,s,t,u,v;
cin >> n >> m;
cin >> s >> t;
cin >> u >> v;
for(int i=0;i<m;i++) {
ll a,b,c;
cin >> a >> b >> c;
adj[a].push_back({b,c});
adj[b].push_back({a,c});
}
for(int i=1;i<=n;i++) {
d[i][0]=(ll)1e15;
d[i][1]=(ll)1e15;
D[i][0]=(ll)1e15;
D[i][1]=(ll)1e15;
sr[i][0]=(ll)1e15;
sr[i][1]=(ll)1e15;
}
priority_queue<aa,vector<aa>,greater<aa>> q;
q.push({0,s,0});
q.push({0,t,1});
sr[s][0]=0;
sr[t][1]=0;
while(!q.empty()) {
aa cur=q.top();
q.pop();
if(cur[0]>sr[cur[1]][cur[2]]) continue;
for(ii to:adj[cur[1]]) {
if(sr[to.fi][cur[2]]>sr[cur[1]][cur[2]]+to.se) {
sr[to.fi][cur[2]]=sr[cur[1]][cur[2]]+to.se;
q.push({sr[to.fi][cur[2]],to.fi,cur[2]});
}
}
}
q.push({0,u,0});
ll l=sr[t][0];
d[u][0]=0;
while(!q.empty()) {
aa cur=q.top();
q.pop();
if(cur[0]>d[cur[1]][cur[2]]) continue;
if(sr[cur[1]][0]+sr[cur[1]][1]==l && cur[2]==0) {
queue<int> bfs;
if(d[cur[1]][1]>d[cur[1]][0]) {
d[cur[1]][1]=d[cur[1]][0];
q.push({d[cur[1]][1],cur[1],1});
}
for(ii to:adj[cur[1]]) {
if(sr[to.fi][0]+to.se==sr[cur[1]][0] && d[to.fi][1]>cur[0]) {
d[to.fi][1]=cur[0];
bfs.push(to.fi);
q.push({d[to.fi][1],to.fi,1});
}
}
while(!bfs.empty()) {
int k=bfs.front();
bfs.pop();
for(ii to:adj[k]) {
if(sr[to.fi][0]+to.se==sr[k][0] && d[to.fi][1]>d[k][1]) {
d[to.fi][1]=d[k][1];
bfs.push(to.fi);
q.push({d[to.fi][1],to.fi,1});
}
}
}
for(ii to:adj[cur[1]]) {
if(sr[to.fi][1]+to.se==sr[cur[1]][1] && d[to.fi][1]>cur[0]) {
d[to.fi][1]=cur[0];
bfs.push(to.fi);
q.push({d[to.fi][1],to.fi,1});
}
}
while(!bfs.empty()) {
int k=bfs.front();
bfs.pop();
for(ii to:adj[k]) {
if(sr[to.fi][1]+to.se==sr[k][1] && d[to.fi][1]>d[k][1]) {
d[to.fi][1]=d[k][1];
bfs.push(to.fi);
q.push({d[to.fi][1],to.fi,1});
}
}
}
}
for(ii to:adj[cur[1]]) {
if(d[to.fi][cur[2]]>d[cur[1]][cur[2]]+to.se) {
d[to.fi][cur[2]]=d[cur[1]][cur[2]]+to.se;
q.push({d[to.fi][cur[2]],to.fi,cur[2]});
}
}
}
cout << min(min(d[v][1],d[v][0]),min(D[u][1],D[u][0]));
return 0;
}
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