#include "library.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
vi used;
int n;
int join(int x){
vi nused = {};
for(int j = 1; j <= n; j++){
if(!used[j]){
nused.pb(j);
}
}
int l = 0;
int p = sz(nused);
int mid;
while(l < p){
mid = (l + p) / 2;
vi M(n, 0);
for(int j = 0; j <= mid; j++){
M[nused[j] - 1] = 1;
}
for(int j = 1; j <= n; j++){
if(used[j]){
M[j - 1] = 1;
}
}
int r1 = Query(M);
M[x - 1] = 0;
int r2 = Query(M);
if(r1 == r2){
l = mid + 1;
}else{
p = mid;
}
}
return (l == sz(nused) ? n + 1 : nused[l]);
}
void Solve(int N){
n = N;
used.assign(n + 1, 0);
vi p;
vi ends = {};
for(int i = n; i >= 1; i--){
p = {i};
used[i] = 1;
while(true && sz(p) < n){
bool f = false;
for(auto ele : ends){
if(ele == p.back()){
f = true;
}
}
if(f){
break;
}
int x = join(p.back());
if(x == n + 1){
break;
}
used[x] = 1;
p.pb(x);
}
if(sz(p) == 1){
ends.pb(i);
p.clear();
used[i] = 0;
}else{
break;
}
}
if(sz(p) == 0){
Answer(ends);
return;
}
reverse(all(p));
while(sz(p) < n){
int x = join(p.back());
used[x] = 1;
p.pb(x);
}
Answer(p);
}
