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#include<cstdio>
#include<vector>
#include<cmath>
#define max_n 100005
using namespace std;
vector<int> gf[max_n];
int i, n, k, x, y, nr, a[20][max_n<<2], unde_apare[max_n], lg, adancime[max_n];
inline int min(int a, int b){if (a<=b) return a; else return b;}
void dfs(int poz, int h){
vector<int>::iterator it;
a[0][++lg]=poz;
adancime[poz]=h;
unde_apare[poz]=lg;
for (it=gf[poz].begin();it!=gf[poz].end();it++) {
dfs(*it, h+1);
a[0][++lg]=poz;
}
}
inline void rmq(){
int i, j;
for (i=1;(1<<i)<=lg;i++)
for (j=1;j+(1<<i)-1<=lg;j++) {
x=a[i-1][j];
y=a[i-1][j+(1<<i)-1];
if (adancime[x]<=adancime[y]) a[i][j]=x; else a[i][j]=y;
}
}
int main(){
freopen("lca.in","r",stdin);
freopen("lca.out","w",stdout);
scanf("%d%d", &n, &k); lg=0;
for (i=2;i<=n;i++) {
scanf("%d", &x); gf[x].push_back(i);
}
dfs(1,0);
rmq();
for (i=1;i<=k;i++) {
scanf("%d%d", &x, &y);
if (x==y) {printf("%d", adancime[x]); continue;}
x=unde_apare[x]; y=unde_apare[y]; nr=log2(y-x+1);
printf("%d\n", min(a[nr][x], a[nr][y-(1<<nr)+1]));
}
return 0;
}