#include "messy.h"
//# pragma GCC optimize("Ofast,no-stack-protector")
//# pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
# pragma GCC optimize("Ofast")
# pragma GCC optimization ("unroll-loops")
# include "bits/stdc++.h"
/*
# include <ext/pb_ds/tree_policy.hpp>
# include <ext/pb_ds/assoc_container.hpp>
# include <ext/rope>
*/
std::pair<int,int> DR[] = {{-1,0},{0,1},{1,0},{0,-1},{-1,1},{-1,-1},{1,1},{1,-1}};
# define ll long long
# define clock (clock() * 1000.0 / CLOCKS_PER_SEC)
# define rc(s) return cout << s,0
# define rcg(s) cout << s;exit(0)
# define _ ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
# define db(x) cerr << #x << " = " << x << '\n'
# define pb push_back
# define mp make_pair
# define all(s) s.begin(),s.end()
# define sz(x) (int)((x).size())
using namespace std;
int n;
void rec1(int a,int b)
{
if(a == b) return;
string s = "";
for(int i = 0;i < n;i++) s += '0';
for(int i = 0;i < n;i++) if(i < a || i > b) s[i] = '1';
int mid = (a + b) / 2;
for(int i = a;i <= mid;i++)
{
s[i] = '1';
add_element(s);
s[i] = '0';
}
s.clear();
rec1(a,mid);
rec1(mid + 1,b);
}
string str = "";
vector<int>ans;
void rec2(int a,int b,vector<int>vec)
{
if(a == b)
{
ans[vec[0]] = a;
return ;
}
vector<int>vecb;
vector<int>veca;
string s = "";
for(int i = 0;i < n;i++) s += "1";
for(auto it : vec) s[it] = '0';
for(auto it : vec)
{
s[it] = '1';
if(check_element(s)) veca.pb(it);
else vecb.pb(it);
s[it] = '0';
}
int mid = (a + b) / 2;
rec2(a,mid,veca);
rec2(mid + 1,b,vecb);
}
vector<int> restore_permutation(int N, int w, int r)
{
n = N;
ans.resize(n);
rec1(0,n - 1);
compile_set();
vector<int>vec;
for(int i = 0;i < n;i++) vec.pb(i);
rec2(0,n - 1,vec);
return ans;
}
