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#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
using namespace std;
ofstream g("lca.out");
ifstream f("lca.in");
const int NMAX = 1e5;
vector<int> tree[NMAX];
int depth[NMAX], value[NMAX], pos[NMAX];
int index = 0;
int n, m;
void citire() {
f >> n >> m;
tree[0].push_back(1);
for (int i = 2; i <= n; i++) {
int x;
f >> x;
tree[x].push_back(i);
}
}
void euler(int &i,int parent,int d) {
value[++i] = parent;
depth[i] = d;
pos[parent] = i;
for (auto e : tree[parent]) {
euler(i, e,d+1);
value[++i] = parent;
depth[i] = d;
}
}
void lca(int x, int y) {
int min = 1<<10;
if (x > y)swap(x, y);
for (int i = pos[x]; i <= pos[y]; i++) {
if (value[i] < min) {
min = value[i];
}
}
g << min << endl;
}
int main()
{
citire();
depth[0] = 0;
euler(index,1,0);
for (int i = 0; i < m; i++) {
int x, y;
f >> x >> y;
lca(x, y);
}
}