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#include<bits/stdc++.h>
using namespace std;
const int NMAX = 1e5 + 5, LGMAX = 18;
int n, m, tata[NMAX], up[NMAX][LGMAX], depth[NMAX];
vector<int> v[NMAX];
void dfs(int node)
{
for(auto u : v[node])
{
depth[u] = depth[node] + 1;
up[u][0] = node;
for(int i = 1; i < LGMAX; i++)
{
up[u][i] = up[up[u][i - 1]][i - 1];
}
dfs(u);
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
freopen("lca.in", "r", stdin);
freopen("lca.out", "w", stdout);
cin >> n >> m;
for(int i = 2; i <= n; i++)
{
cin >> tata[i];
v[tata[i]].push_back(i);
}
dfs(1);
for(int i = 1; i <= m; i++)
{
int a, b;
cin >> a >> b;
if(depth[a] < depth[b])
swap(a, b);
int k = depth[a] - depth[b];
for(int i = LGMAX - 1; i >= 0; i--)
{
if(k & (1 << i))
a = up[a][i];
}
if(a == b)
{
cout << a << "\n";
continue;
}
for(int i = LGMAX - 1; i >= 0; i--)
{
if(up[a][i] != up[b][i])
{
a = up[a][i];
b = up[b][i];
}
}
cout << up[a][0] << "\n";
}
}