#include <fstream>
#define NMax 100000
using namespace std;
ifstream fin("lca.in");
ofstream fout("lca.out");
int f[20][NMax],log[NMax],n,m,i,j,x,y;
void lca(int x,int y)
{
    int l = log[y-x+1];
    fout<<min(f[l][x],f[l][y-(1<<l)+1])<<"\n";
}
int main()
{
    fin>>n>>m;
    for(i=1;i<=n;i++)
        fin>>f[0][i];
    f[0][1]=0;
    for(j=1;(1<<j)<=n;j++)
    {
        for (i=1;i<=n-(1<<j)+1;i++)
        {
            f[j][i]=f[j-1][f[j-1][i]];
        }
    }
    log[1]=0;
    for(j=2;j<=n;j++)
        log[j]=1+log[j/2];
    for(i=1;i<=m;i++)
    {
        fin>>x>>y;
        lca(x,y);
    }
    return 0;
}