#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
#define file ""
#define mp make_pair
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define bit(x) (1LL << (x))
#define getbit(x, i) (((x) >> (i)) & 1)
#define popcount __builtin_popcountll
mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) {
return l + rd() % (r - l + 1);
}
const int N = 1e6 + 5;
const int mod = (int)1e9 + 7; // 998244353;
const int lg = 25; // lg + 1
const int oo = 1e9;
const long long ooo = 1e18;
template<class X, class Y> bool mini(X &a, Y b) {
return a > b ? (a = b, true) : false;
}
template<class X, class Y> bool maxi(X &a, Y b) {
return a < b ? (a = b, true) : false;
}
void add(int &a, int b) {
a += b;
if (a >= mod) a -= mod;
if (a < 0) a += mod;
}
const int block = 750;
struct query {
int l, r, id;
query(int _l = 0, int _r = 0, int _id = 0) {
l = _l;
r = _r;
id = _id;
}
bool operator < (const query &a) const {
return l / block != a.l / block ? l / block < a.l / block : r < a.r;
}
};
int n, q;
int a[N];
vector<query> queries;
int ans[N];
int bit[N];
void update(int u, int c) {
for (; u <= n; u += u & (-u)) bit[u] += c;
}
int get(int u) {
int res = 0;
for (; u > 0; u -= u & (-u)) res += bit[u];
return res;
}
void ins(int x) {
update(x, 1);
}
void del(int x) {
update(x, -1);
}
int getans(int x) {
int l = 1, r = n;
int res = 1;
while (l <= r) {
int mid = (l + r) / 2;
if (mid + get(mid - 1) <= x) {
res = mid;
l = mid + 1;
} else r = mid - 1;
}
return res;
}
void process() {
cin >> n >> q;
for (int i = 1; i <= n; ++i) cin >> a[i];
for (int i = 1; i <= q; ++i) {
int l, r;
cin >> l >> r;
queries.emplace_back(l, r, i);
}
sort(all(queries));
int L = 1, R = 1;
ins(a[1]);
for (auto [l, r, id] : queries) {
while (L < l) del(a[L++]);
while (L > l) ins(a[--L]);
while (R < r) ins(a[++R]);
while (R > r) del(a[R--]);
ans[id] = getans(r - l + 1);
}
for (int i = 1; i <= q; ++i) cout << ans[i] << '\n';
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#endif
int tc = 1;
// cin >> tc;
while (tc--) {
process();
}
return 0;
}
/*
*/
