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#include <cstdio>
#include <vector>
using namespace std;
const int nmax=1e5+3;
const int h=200;
vector <int> v[nmax];
int lvl[nmax],t[nmax],n,m,a,b,t2[nmax];
void dfs(int nod,int ant,int lv)
{
lvl[nod]=lv;
t2[nod]=ant;
if(lv%h==0) ant=nod;
for(int i=0;i<v[nod].size();++i) dfs(v[nod][i],ant,lv+1);
}
int main()
{
freopen("lca.in","r",stdin);
freopen("lca.out","w",stdout);
scanf("%d%d",&n,&m);
for(int i=2;i<=n;++i)
{
scanf("%d",&t[i]);
v[t[i]].push_back(i);
}
lvl[1]=1;
dfs(1,0,0);
while(m--)
{
scanf("%d%d",&a,&b);
while(t2[a]!=t2[b])
{
if(lvl[a]>lvl[b]) a=t2[a];
else b=t2[b];
}
while(a!=b)
{
if(lvl[a]>lvl[b]) a=t[a];
else b=t[b];
}
printf("%d\n",a);
}
return 0;
}