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 MX=2e5+10;
const long long INF=1e18;
const long long lg=20;
vector < pair < long long , long long > > mas[MX];
long long a[MX],b[MX],god[MX];
long long h[MX],d[MX];
long long tin[MX],tou[MX],timer=0;
long long mans[lg][MX],lca[lg][MX];
void DFS(int zar)
{
timer++;
tin[zar]=timer;
for(int i=1;i<lg;i++)
{
lca[i][zar]=lca[i-1][lca[i-1][zar]];
}
d[zar]=(!god[zar])*INF;
for(auto [u,w]:mas[zar])
{
if(u!=lca[0][zar])
{
h[u]=h[zar]+w;
lca[0][u]=zar;
DFS(u);
d[zar]=min(d[zar],d[u]+w);
}
}
mans[0][zar]=d[zar]-h[zar];
timer++;
tou[zar]=timer;
}
bool prd(long long pr,long long s)
{
return (tin[pr]<=tin[s] && tou[s]<=tou[pr]);
}
void fun(long long in,long long zn)
{
if(!prd(b[in],zn))
{
cout<<"escaped\n";
return;
}
if(d[b[in]]==INF)
{
cout<<"oo\n";
return;
}
long long ans=mans[0][b[in]],zar=zn;
for(int i=lg-1;i>=0;i--)
{
if(prd(b[in],lca[i][zar]))
{
ans=min(ans,mans[i][zar]);
zar=lca[i][zar];
}
}
cout<<ans+h[zn]<<"\n";
}
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
long long n,s,q,e;
cin>>n>>s>>q>>e;
for(long long i=1;i<n;i++)
{
long long w;
cin>>a[i]>>b[i]>>w;
mas[a[i]].push_back({b[i],w});
mas[b[i]].push_back({a[i],w});
}
for(long long i=1;i<=s;i++)
{
long long o;
cin>>o;
god[o]=1;
}
lca[0][e]=e;
DFS(e);
for(long long i=1;i<n;i++)
{
if(tin[a[i]]>tin[b[i]])
{
swap(a[i],b[i]);
}
}
for(long long j=1;j<lg;j++)
{
for(long long i=1;i<=n;i++)
{
mans[j][i]=min(mans[j-1][i],mans[j-1][lca[j-1][i]]);
}
}
while(q--)
{
long long id,zn;
cin>>id>>zn;
fun(id,zn);
}
return 0;
}
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