#include <bits/stdc++.h>

using namespace std;

class InParser
{
private:
    FILE *fin;
    char *buff;
    int sp;

    char read_ch()
    {
        ++sp;
        if (sp == 4096)
        {
            sp = 0;
            fread(buff, 1, 4096, fin);
        }
        return buff[sp];
    }

public:
    InParser(const char *nume)
    {
        fin = fopen(nume, "r");
        buff = new char[4096]();
        sp = 4095;
    }

    InParser &operator>>(int &n)
    {
        char c;
        while (!isdigit(c = read_ch()) && c != '-');
        int sgn = 1;
        if (c == '-')
        {
            n = 0;
            sgn = -1;
        }
        else
        {
            n = c - '0';
        }
        while (isdigit(c = read_ch()))
        {
            n = 10 * n + c - '0';
        }
        n *= sgn;
        return *this;
    }

    InParser &operator>>(long long &n)
    {
        char c;
        n = 0;
        while (!isdigit(c = read_ch()) && c != '-');
        long long sgn = 1;
        if (c == '-')
        {
            n = 0;
            sgn = -1;
        }
        else
        {
            n = c - '0';
        }
        while (isdigit(c = read_ch()))
        {
            n = 10 * n + c - '0';
        }
        n *= sgn;
        return *this;
    }
};

class OutParser
{
private:
    FILE *fout;
    char *buff;
    int sp;

    void write_ch(char ch)
    {
        if (sp == 50000)
        {
            fwrite(buff, 1, 50000, fout);
            sp = 0;
            buff[sp++] = ch;
        }
        else
        {
            buff[sp++] = ch;
        }
    }


public:
    OutParser(const char *name)
    {
        fout = fopen(name, "w");
        buff = new char[50000]();
        sp = 0;
    }

    ~OutParser()
    {
        fwrite(buff, 1, sp, fout);
        fclose(fout);
    }

    OutParser &operator<<(int vu32)
    {
        if (vu32 <= 9)
        {
            write_ch(vu32 + '0');
        }
        else
        {
            (*this) << (vu32 / 10);
            write_ch(vu32 % 10 + '0');
        }
        return *this;
    }

    OutParser &operator<<(long long vu64)
    {
        if (vu64 <= 9)
        {
            write_ch(vu64 + '0');
        }
        else
        {
            (*this) << (vu64 / 10);
            write_ch(vu64 % 10 + '0');
        }
        return *this;
    }

    OutParser &operator<<(char ch)
    {
        write_ch(ch);
        return *this;
    }

    OutParser &operator<<(const char *ch)
    {
        while (*ch)
        {
            write_ch(*ch);
            ++ch;
        }
        return *this;
    }
};

InParser fin("lca.in");
OutParser fout("lca.out");

const int NMAX = 1e5 + 7;
const int LOGNMAX = 20;

vector<vector<int>> v(NMAX);
int dad[NMAX], lvl[NMAX];
int p_curent, p_start[NMAX], p_end[NMAX];
int stramos[LOGNMAX][NMAX];

void dfs(int nod, int lv)
{
    lvl[nod] = lv;
    p_start[nod] = ++p_curent;
    for (int i: v[nod])
    {
        dfs(i, lv + 1);
    }
    p_end[nod] = ++p_curent;
}

bool estramos(int x, int y)
{
    return p_start[x] <= p_start[y] && p_end[y] <= p_end[x];
}

void calculeaza_stramos(int n)
{
    for (int nod = 1; nod <= n; nod++)
        stramos[0][nod] = dad[nod];

    for (int p = 1; p < LOGNMAX; p++)
        for (int nod = 1; nod <= n; nod++)
            stramos[p][nod] = stramos[p - 1][stramos[p - 1][nod]];
}

int lca(int x, int y)
{
    if (estramos(x, y))
        return x;
    if (estramos(y, x))
        return y;

    for (int p = LOGNMAX - 1; p >= 0; p--)
        if (stramos[p][x] != 0 && !estramos(stramos[p][x], y))
            x = stramos[p][x];

    return stramos[0][x];
}

int main()
{
    int n, q;
    fin >> n >> q;

    for (int nod = 2; nod <= n; nod++)
    {
        fin >> dad[nod];
        v[dad[nod]].push_back(nod);
    }

    dfs(1, 1);
    calculeaza_stramos(n);

    while (q--)
    {
        int x, y;
        fin >> x >> y;
        fout << lca(x, y) << "\n";
    }

    return 0;
}