#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 1000000000000000001

struct D{
	long long pre= 0,suf = 0,all = 0,ma = 0;
};

D op(D a,D b){
	D c;
	c.all = a.all + b.all;
	c.pre = min(a.pre,a.all + b.pre);
	c.suf = min(b.suf,b.all + a.suf);
	
	c.ma = min({a.suf + b.pre, a.ma,b.ma,c.all,c.pre,c.suf});
	return c;
}

D e(){
	return D();
}

int main(){
	
	int n,q;
	cin>>n>>q;
	vector<int> a(n);
	vector<vector<int>> is(n+5);
	rep(i,n){
		cin>>a[i];
		is[a[i]].push_back(i);
	}
	vector<int> l(q),r(q);
	rep(i,q){
		cin>>l[i]>>r[i];
		l[i]--;
	}
	
	vector<int> ok(q,n),ng(q,0);
	rep(_,18){
		vector<vector<int>> qs(n+1);
		rep(i,q){
			qs[(ok[i]+ng[i])/2].push_back(i);
		}
		segtree<D,op,e> seg(n);
		rep(i,n){
			D t;
			t.all = -1;
			t.suf = -1;
			t.pre = -1;
			t.ma = -1;
			seg.set(i,t);
		}
		rep(i,n){
			rep(j,is[i].size()){
				int ii = is[i][j];
				D t;
				t.all = 1;
				seg.set(ii,t);
			}
			rep(j,qs[i].size()){
				int ii = qs[i][j];
				bool f=  false;
				if(seg.prod(l[ii],r[ii]).all>0)f = true;
				else{
					
					long long s= seg.prod(l[ii],r[ii]).all;
					/*if(ii==0 && i==0){
						cout<<s<<',';
					}
					*/
					s -= seg.prod(l[ii],r[ii]).ma;
					s --;
					/*
					if(ii==0 && i==0){
						cout<<s<<endl;
					}
					*/
					if(s>0)f = true;
				}
				
				if(f)ok[ii] = (ok[ii]+ng[ii])/2;
				else ng[ii] = (ok[ii]+ng[ii])/2;
				
			}
		}
	}
	rep(i,q){
		cout<<ok[i]<<endl;
	}
	
	return 0;
}