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#include<fstream>
#include<vector>
using namespace std;
vector<int> L[200005];
bool u[200005];
int n, m, i, j, x, y, v[200005], q[18][200005], prim[200005], nq, p;
void dfs_euler(int nod)
{
q[0][++nq]=nod;
prim[nod]=nq;
for(int i=0; i<L[nod].size(); i++)
{
int fiu=L[nod][i];
dfs_euler(fiu);
q[0][++nq]=nod;
}
}
ifstream in("lca.in");
ofstream out("lca.out");
int main()
{
in>>n>>m;
for(i=2; i<=n; i++)
{
in>>x;
L[x].push_back(i);
}
dfs_euler(1);
for(i=1; (1<<i)<=nq; i++)
{
for(j=1; j<=nq; j++)
{
q[i][j]=q[i-1][j];
if(j+(1<<(i-1))<=nq)
q[i][j]=min(q[i-1][j], q[i-1][j+(1<<(i-1))]);
}
}
for(i=2; i<=nq; i++)
v[i]=v[i/2]+1;
for(;m--;)
{
in>>x>>y;
x=prim[x];
y=prim[y];
if(y<x)
swap(x, y);
p=v[y-x+1];
out<<min(q[p][x], q[p][y-(1<<p)+1])<<"\n";
}
return 0;
}