#include<bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define IOS ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>order_set;
typedef pair<int, int>pr;
#define all(i) i.begin() , i.end()
#define ft first
#define sn second
#define pb push_back
#define totalone(mask) __builtin_popcount(mask)
#define chkbit(mask,bit) (mask&(1LL << bit))
#define setbit(mask,bit) (mask|(1LL << bit))
#define cngbit(mask,bit) (mask^(1LL << bit))
#define en "\n"
#define dbg(x) cerr<<#x<<" is : "<<x<<en;
#define yes cout<<"YES\n"
#define no cout<<"NO\n"
#define report cout<<-1<<en
#define sum(n) ((1LL*(n)*(n+1))/ 2LL)
#define sqr(n) (1LL*(n)*(n))
#define vag(a,b) ((a + b - 1)/b)
#define coutv(v) for(auto i: v) cout<<i<<" ";cout<<en;
#define cinv(v) for(auto &i: v) cin >> i;
const int MAXN = 200005;
#define inf 1e15
const int mod = 1e9 + 7;
int n, q;
int up[MAXN][20];
int dis[MAXN];
int vis[MAXN];
vector<int>g[MAXN];
void dfs(int nd)
{
vis[nd] = 1;
for (auto i : g[nd])
{
if (vis[i]) continue;
dis[i] = 1 + dis[nd];
for (int log = 1; log < 20; log++)
{
int ancestor = up[i][log - 1];
up[i][log] = up[ancestor][log - 1];
}
dfs(i);
}
}
int get_lca(int x, int y)
{
if (dis[x] < dis[y]) swap(x, y); //let, x is max always
int k = dis[x] - dis[y];
for (int log = 19; log >= 0; log--)
{
if (chkbit(k, log)) {
x = up[x][log];
}
}
if (x == y) return x;
for (int log = 19; log >= 0; log--)
{
if (up[x][log] != up[y][log]) {
x = up[x][log];
y = up[y][log];
}
}
return up[x][0];
}
void solve()
{
cin >> n >> q;
for (int i = 2; i <= n; i++)
{
cin >> up[i][0];
int x = up[i][0];
g[x].pb(i);
g[i].pb(x);
}
dfs(1);
// for (int i = 1; i <= n; i++) {
// for (int j = 0; j < 3; j++) cout << up[i][j] << " "; cout << en;
// }
while (q--)
{
int x, y;
cin >> x >> y;
cout << get_lca(x, y) << en;
}
}
int main()
{
IOS;
ll t;
t = 1;
// cin >> t;
int c = 0;
while ( t-- )
{
// cout<<"Case "<<++c<<": ";
solve();
}
return 0;
}