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#include<bits/stdc++.h>
using namespace std;
typedef int var;
#define MAXN 100005
var D[MAXN], PathP[MAXN], Heavy[MAXN], In[MAXN];
vector<var> G[MAXN];
stack<var> ST;
var At[MAXN];
void dfs(var start) {
D[0] = -1;
ST.push(start);
Heavy[start] = 1;
while(!ST.empty()) {
var node = ST.top();
if(At[node] == G[node].size()) {
ST.pop();
var best = 0;
In[node] = node;
for(auto vec : G[node]) {
Heavy[node] += Heavy[vec];
PathP[In[vec]] = node;
if(best < Heavy[vec]) {
best = Heavy[vec];
In[node] = In[vec];
}
}
} else {
var vec = G[node][At[node]];
At[node]++;
D[vec] = D[node] + 1;
Heavy[vec] = 1;
ST.push(vec);
}
}
PathP[In[1]] = 0;
}
var lca(var a, var b) {
while(In[a] != In[b])
if(D[PathP[In[a]]] > D[PathP[In[b]]])
a = PathP[In[a]];
else
b = PathP[In[b]];
if(D[a] < D[b])
return a;
return b;
}
int main() {
freopen("lca.in", "r", stdin);
freopen("lca.out", "w", stdout);
var n, m, p, a, b;
cin>>n>>m;
for(var i=2; i<=n; i++) {
cin>>p;
G[p].push_back(i);
}
dfs(1);
while(m--) {
cin>>a>>b;
cout<<lca(a, b)<<'\n';
}
return 0;
}