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;
int n;
void prepare(){
	n = 1;
}
pair<long long, std::vector<long long>> join(long long p){
	n += p;
	set<ll> stuff;
	stuff.insert(1);
	FOR(i, 1, n+1){
		ll sus = n+1 - i;
		bool flag = 0;
		FOR(j,0,30) if ((1<<j) == sus) flag = 1;
		if (flag) stuff.insert(i); 
	}
	vector<ll> real;
	for (auto&i : stuff) real.push_back(i);
	
	return {p, real};
}
std::pair<long long, std::vector<long long>> leave(long long p){
	n -= p;
	set<ll> stuff;
	stuff.insert(1);
	FOR(i, 1, n+1){
		ll sus = n+1 - i;
		bool flag = 0;
		FOR(j,0,30) if ((1<<j) == sus) flag = 1;
		if (flag) stuff.insert(i); 
	}
	vector<ll> real;
	for (auto&i : stuff) real.push_back(i);
	
	return {p, real};
}
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