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#include <bits/stdc++.h>
#define Nmax 100005
using namespace std;
ifstream fin("lca.in");
ofstream fout("lca.out");
int Log2[Nmax], level[Nmax];
int A[60][Nmax];
int n,m;
vector<int> G[Nmax];
int LCA(int x,int y){
if(level[x] < level[y]){
swap(x,y);
}
while(level[x] != level[y]){
x = A[Log2[level[x]-level[y]]][x];
}
if(x == y) return x;
for(int k = Log2[level[x]]; k >= 0; k--){
if(A[k][x] != A[k][y]){
x = A[k][x];
y = A[k][y];
}
}
return A[0][x];
}
void dfs(int x,int tata){
level[x] = level[tata]+1;
for(int i = 0; i < G[x].size(); i++){
dfs(G[x][i],x);
}
}
int main()
{
int i,a1,a2,j;
fin>>n>>m;
for(i = 2; i <= n; i++){
fin>>A[0][i];
G[A[0][i]].push_back(i);
Log2[i] = Log2[i/2]+1;
}
dfs(1,0);
for(i = 1; (1<<i) <= n; i++){
for(j = 1; j <= n; j++){
A[i][j] = A[i-1][A[i-1][j]];
}
}
for(i = 1; i <= m; i++){
fin>>a1>>a2;
fout<<LCA(a1,a2)<<'\n';
}
return 0;
}