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 ;
const long long inf = 1e18 ;
const int MAX = 1e5 + 10 ;
bool vis[MAX] , mark[MAX] ;
long long dist[3][MAX] , dp1[MAX] , dp2[MAX] ;
int n , m , s , t , u , v ;
vector< vector< pair<int , long long> > >adj(MAX) ;
vector< vector<int> >adj2(MAX) ;
void dijkstra(int src , int a)
{
for(int i = 0 ; i < MAX ; ++i)
dist[a][i] = inf ;
priority_queue< pair<long long , int> , vector< pair<long long , int> > , greater< pair<long long , int> > >q;
dist[a][src] = 0 ;
q.push({0 , src}) ;
while(!q.empty())
{
pair<long long , int>p = q.top() ;
q.pop() ;
int node = p.second ;
long long cost = p.first ;
if(cost > dist[a][node])
continue ;
for(auto &child : adj[node])
{
int nnode = child.first ;
long long ncost = child.second + cost ;
if(ncost < dist[a][nnode])
{
dist[a][nnode] = ncost ;
q.push({ncost , nnode}) ;
}
}
}
return ;
}
long long ans ;
void dfs(int node)
{
vis[node] = 1 ;
mark[node] = 1 ;
for(auto &child : adj[node])
{
if(dist[0][node] + child.second == dist[0][child.first])
{
if(!vis[child.first])
dfs(child.first) ;
adj2[node].push_back(child.first) ;
}
}
mark[node] = 0 ;
return ;
}
void dfs2(int node)
{
vis[node] = 1 ;
dp1[node] = dp2[node] = inf ;
for(auto &child : adj2[node])
{
if(!vis[child])
dfs2(child) ;
dp1[node] = min(dp1[node] , dp1[child]) ;
dp2[node] = min(dp2[node] , dp2[child]) ; ;
if((dp1[child] == inf || dp2[child] == inf) && child != t)
continue ;
dp1[node] = min(dp1[node], dist[1][child]) ;
dp2[node] = min(dp2[node], dist[2][child]) ;
}
ans = min(ans, dist[2][node] + dp1[node]) ;
ans = min(ans, dist[1][node] + dp2[node]) ;
}
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n>>m ;
cin>>s>>t ;
cin>>u>>v ;
for(int i = 0 ; i < m ; ++i)
{
int x , y ;
long long z ;
cin>>x>>y>>z ;
adj[x].emplace_back(y , z) ;
adj[y].emplace_back(x , z) ;
}
dijkstra(s , 0) ;
dijkstra(u , 1) ;
dijkstra(v , 2) ;
ans = dist[1][v] ;
dfs(s) ;
memset(vis , 0 , sizeof(vis)) ;
dfs2(s) ;
return cout<<ans<<"\n" , 0 ;
}
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