#include "messy.h"
#include <bits/stdc++.h>
using namespace std;
int n, occ[128];
void solve(int l, int r){
if(l == r) return;
string s;
for(int i = 0;i<n;++i) s.push_back('0');
for(int i = l;i<=r;++i) s[i] = '1';
int mid = (l+r)/2;
for(int j = mid+1;j<=r;++j){
s[j] = '0';
add_element(s);
s[j] = '1';
}
solve(l,mid);
solve(mid+1,r);
}
void solve2(int l, int r, vector<int> v){
if(l == r){
occ[v[0]] = l;
return;
}
int mid = (l+r)/2;
string s;
for(int i = 0;i<n;++i) s.push_back('0');
for(auto x : v) s[x] = '1';
vector<int> low, high;
for(auto x : v){
s[x] = '0';
if(check_element(s)) high.push_back(x);
else low.push_back(x);
s[x] = '1';
}
solve2(l,mid,low);
solve2(mid+1,r,high);
}
vector<int> restore_permutation(int N, int w, int r) {
n = N;
solve(0,N-1);
compile_set();
vector<int> vec;
for(int i = 0;i<n;++i) vec.push_back(i);
solve2(0,n-1,vec);
vector<int> ans;
for(int i=0; i<n; i++) ans.push_back(occ[i]);
return ans;
}
