#include <bits/stdc++.h>
#include <atcoder/segtree>
using namespace std;

struct S {
  int lmax, rmax, max, sum;
  S(int a = 0) { lmax = rmax = max = sum = a; }
};
S op(S s, S t) {
  S res;
  res.lmax = max(s.lmax, s.sum + t.lmax);
  res.rmax = max(t.rmax, s.rmax + t.sum);
  res.max = max({s.max, t.max, s.rmax + t.lmax});
  res.sum = s.sum + t.sum;
  return res;
}
S e() { return S(0); }

int main() {
  int n, q;
  cin >> n >> q;
  vector<int> a(n);
  for (int i = 0; i < n; i++) cin >> a[i], a[i]--;
  vector<int> l(q), r(q);
  for (int i = 0; i < q; i++) cin >> l[i] >> r[i], l[i]--;

  vector<vector<int>> a_idx(n);
  for (int i = 0; i < n; i++) a_idx[a[i]].push_back(i);
  vector<int> lo(q, -1), hi(q, n);
  vector<queue<int>> mi_num(n);
  for (int i = 0; i < q; i++) mi_num[(lo[i] + hi[i]) / 2].push(i);

  int ans_cnt = 0;
  while (ans_cnt < q) {
    atcoder::segtree<S, op, e> seg(vector<S>(n, 1));
    for (int mi = 0; mi < n; mi++) {
      for (auto i : a_idx[mi]) seg.set(i, S(-1));
      while (not mi_num[mi].empty()) {
        int i = mi_num[mi].front();
        mi_num[mi].pop();

        S s = seg.prod(l[i], r[i]);
        if (s.sum - s.max + 1 < 0)
          hi[i] = mi;
        else
          lo[i] = mi;

        if (hi[i] - lo[i] > 1)
          mi_num[lo[i] + (hi[i] - lo[i]) / 2].push(i);
        else
          ans_cnt++;
      }
    }
  }
  for (int i = 0; i < q; i++) cout << hi[i] + 1 << "\n";
}