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#include <iostream>
#include <fstream>
#include <vector>
#define Nmax 100001
#define Lmax 21
using namespace std;
ifstream fin("lca.in");
ofstream fout("lca.out");
int n,m;
int log[Nmax],level[Nmax],F[Lmax][Nmax];
vector <int> G[Nmax];
void read()
{
fin>>n>>m;
int i;
for(i=2;i<=n;i++)
{
fin>>F[0][i];
G[F[0][i]].push_back(i);
}
}
void DFS(int nod)
{
for(unsigned int i=0;i<G[nod].size();i++)
{
level[G[nod][i]]=level[nod]+1;
DFS(G[nod][i]);
}
}
int LCA(int x,int y)
{
if(level[x]>level[y])
swap(x,y);
while(level[x]!=level[y])
{
int k=log[level[y]-level[x]];
y=F[k][y];
}
if (x==y)
return x;
for(int step=log[level[x]];step>=0;step--)
{
if (F[step][x]!=F[step][y])
{
x=F[step][x];
y=F[step][y];
}
}
return F[0][x];
}
void BuildLog()
{
int i;
for(i=2;i<=n;i++)
log[i]=log[i/2]+1;
}
int main()
{
read();
DFS(1);
BuildLog();
int k,i;
for(k=1;k<=log[n];k++)
for(i=1;i<=n;i++)
F[k][i]=F[k-1][F[k-1][i]];
for(i=1;i<=m;i++)
{
int x,y;
fin>>x>>y;
fout<<LCA(x,y)<<"\n";
}
return 0;
}