This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "light.h"
#include <bits/stdc++.h>
 
typedef long long ll;
#define FOR(i,x,y) for(ll i=x; i<y; i++)
#define FORNEG(i,x,y) for(ll i=x; i>y; i--)
 
using namespace std;
ll n, maxi;
vector<ll> prevs;
void prepare(){
	n = 1;
	maxi = n;
}
pair<long long, std::vector<long long>> join(long long p){
	n += p;
	set<ll> stuff;
	stuff.insert(1);
	maxi = max(maxi, n);
	if (n==maxi){
		FOR(i,1,70){
			stuff.insert(n-(1<<i)+2);
		}
	}
	else{
		ll diff = maxi-n;
		FOR(i,1,70){
			stuff.insert(maxi-(1<<i)+2);
			stuff.insert(maxi-(1<<i)+2 + diff);
		}
	}
	vector<ll> real;
	for (auto&i : stuff) if (1<=i && i<=n) real.push_back(i);
	prevs = real;
	return {p, real};
}
std::pair<long long, std::vector<long long>> leave(long long p){
	n -= p;
	set<ll> stuff;
	stuff.insert(1);
	stuff.insert(n);
	ll diff = maxi-n;
	FOR(i,1,70){
		stuff.insert(maxi-(1<<i)+2);
		stuff.insert(maxi-(1<<i)+2 + diff);
	}
	FOR(i,1,70){
		ll temp = n - (1<<i)+2;
		if (lower_bound(prevs.begin(), prevs.end(), temp) !=  lower_bound(prevs.begin(), prevs.end(), temp-p)){
			
			stuff.insert(n - (1<<i)+2);
		}
	}
	vector<ll> real;
	for (auto&i : stuff) if (1<=i && i<=n) real.push_back(i);
	prevs = real;
	return {p, real};
}
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