#include <fstream>
#include <vector>

using namespace std;

ifstream fin("lca.in");
ofstream fout("lca.out");

const int NMAX = 100000 + 5;
const int LOGMAX = 18;

int N, M;
vector <int> son[NMAX];

int firstAp[NMAX], height[NMAX];
vector <int> rmq[25];

void DFS(int node, int dad)
{
    firstAp[node] = rmq[0].size();
    height[node] = 1 + height[dad];
    rmq[0].push_back(node);

    for(auto it : son[node])
    {
        DFS(it, node);
        rmq[0].push_back(node);
    }
}

inline int GetMin(int x, int y)
{
    if(height[x] < height[y])
        return x;
    return y;
}

void BuildRMQ()
{
    for(int i = 1; i <= LOGMAX; i++)
    {
        if((1 << i) > rmq[0].size())
            break;

        for(int j = 0; j < rmq[0].size(); j++)
        {
            if(j + (1 << i) > rmq[0].size())
                break;

            rmq[i].push_back(GetMin(rmq[i - 1][j], rmq[i - 1][j + (1 << (i - 1))]));
        }
    }
}

int QueryRMQ(int x, int y)
{
    x = firstAp[x];
    y = firstAp[y];

    if(x > y)
        swap(x, y);

    int lenght = y - x + 1;

    int k = 0;
    while((1 << k) <= lenght)
        k++;
    k--;

    return GetMin(rmq[k][x], rmq[k][y - (1 << k) + 1]);
}

int main()
{
    fin >> N >> M;

    int x, y;
    for(int i = 2; i <= N; i++)
    {
        fin >> x;
        son[x].push_back(i);
    }

    DFS(1, 0);

    BuildRMQ();

    for(int i = 1; i <= M; i++)
    {
        fin >> x >> y;
        fout << QueryRMQ(x, y) << '\n';
    }

    return 0;
}