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;
typedef pair<int,int> pii;
int bucksize=500;
int n,m,q,c[100005],niv[100005],in[100005],out[100005],lin[500005],rmq[21][500005],loga[500005],timp,par[100005];
int sol[100005],nivmin,cnt;
set<pii> s;
vector<int> muchii[100005];
void dfs(int nod)
{
timp++;
lin[timp]=nod;
in[nod]=timp;
bool have=0;
for(int i:muchii[nod])
if(i!=par[nod])
{
par[i]=nod;
niv[i]=niv[nod]+1;
dfs(i);
timp++;
lin[timp]=nod;
have=1;
}
if(!have)
{
timp++;
lin[timp]=nod;
}
out[nod]=timp;
}
struct date
{
int l,r,ind;
};
int getbuck(int x)
{
return x/bucksize+(x%bucksize!=0);
}
bool byr(date a, date b)
{
return a.r<b.r;
}
vector<date> qr[100005];
bool isancestor(int a,int b)
{
return in[a]<=in[b]&&out[a]>=out[b];
}
int getmin(int l,int r)
{
int lg=loga[r-l+1];
int a=rmq[lg][r-(1<<lg)+1];
int b=rmq[lg][l];
if(niv[a]<niv[b])
return a;
return b;
}
int LCA(int a,int b)
{
if(in[a]>in[b])
swap(a,b);
if(isancestor(a,b))
return a;
int l=out[a];
int r=in[b];
return getmin(l,r);
}
void addnode(int nod)
{
if(s.find({in[nod],nod})!=s.end())
return;
s.insert({in[nod],nod});
if(s.size()==1)
{
nivmin=niv[nod];
cnt=nivmin+1;
return;
}
int nmin=1e9;
int nmax=0;
auto it=s.find({in[nod],nod});
bool have=0;
if(it!=s.begin())
{
int st=(*prev(it)).second;
int x=LCA(st,nod);
nmin=min(nmin,niv[x]);
nmax=max(nmax,niv[x]);
}
it++;
if(it!=s.end())
{
int dr=(*it).second;
if(isancestor(nod,dr))
have=1;
int x=LCA(nod,dr);
nmin=min(nmin,niv[x]);
nmax=max(nmax,niv[x]);
}
if(nivmin>nmin)
{
if(!have)
cnt+=niv[nod]-nmin;
nivmin=min(nivmin,nmin);
}
else
{
if(!have)
cnt+=niv[nod]-nmax;
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>n>>m>>q;
for(int i=1;i<n;i++)
{
int a,b;
cin>>a>>b;
muchii[a].push_back(b);
muchii[b].push_back(a);
}
for(int i=1;i<=m;i++)
cin>>c[i];
dfs(1);
for(int i=1;i<=timp;i++)
{
for(int bit=0;bit<=20;bit++)
if((1<<bit)<=i)
loga[i]=bit;
}
for(int i=1;i<=timp;i++)
rmq[0][i]=lin[i];
for(int j=1;j<=20;j++)
for(int i=1;i<=timp;i++)
{
rmq[j][i]=rmq[j-1][i];
int poz=i+(1<<(j-1));
if(poz<=timp&&niv[rmq[j-1][poz]]<niv[rmq[j][i]])
rmq[j][i]=rmq[j-1][poz];
}
int bmax=0;
for(int i=1;i<=q;i++)
{
int l,r;
cin>>l>>r;
int b=getbuck(l);
bmax=max(bmax,b);
qr[b].push_back({l,r,i});
}
for(int b=1;b<=bmax;b++)
if(!qr[b].empty())
{
sort(qr[b].begin(),qr[b].end(),byr);
reverse(qr[b].begin(),qr[b].end());
while(!qr[b].empty()&&getbuck(qr[b].back().r)==b)
{
int l=qr[b].back().l;
int r=qr[b].back().r;
int ind=qr[b].back().ind;
qr[b].pop_back();
s.clear();
nivmin=niv[c[l]];
cnt=nivmin+1;
s.insert({in[c[l]],c[l]});
for(int i=l+1;i<=r;i++)
{
int nod=c[i];
addnode(nod);
}
sol[ind]=cnt-nivmin;
}
s.clear();
int poz=b*bucksize;
cnt=0;
nivmin=0;
while(!qr[b].empty())
{
int l=qr[b].back().l;
int r=qr[b].back().r;
int ind=qr[b].back().ind;
qr[b].pop_back();
while(poz<r)
{
poz++;
int nod=c[poz];
addnode(nod);
}
int last=b*bucksize;
int auxniv=nivmin;
int auxcnt=cnt;
vector<pii> toerase;
assert(last-l+1<=bucksize);
for(int i=l;i<=last;i++)
{
int nod=c[i];
if(s.find({in[nod],nod})!=s.end())
continue;
toerase.push_back({in[nod],nod});
addnode(nod);
}
sol[ind]=cnt-nivmin;
for(pii p:toerase)
s.erase(p);
nivmin=auxniv;
cnt=auxcnt;
}
}
for(int i=1;i<=q;i++)
cout<<sol[i]<<'\n';
return 0;
}
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