#include <vector>
#include "messy.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef complex<ld> point;
void debug_out() {cerr << endl;}
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T){
cerr << H << ' ';
debug_out(T...);
}
#define debug(...) cerr << "(" << #__VA_ARGS__ << "): ", debug_out(__VA_ARGS__)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define MP(x, y) make_pair(x, y)
vector<int> restore_permutation(int n, int w, int r) {
string s;
for (int i = 0; i < n; i++){
s.push_back('0');
}
for (int i = 0; i < n; i++){
s[i] = '1';
add_element(s);
}
compile_set();
vector<int> ans(n);
for (int i = 0; i < n; i++){
s[i] = '0';
}
for (int i = 0; i < n; i++){
for (int j = 0; j < n; j++){
if (s[j] == '1') continue;
s[j] = '1';
if (!check_element(s)){
s[j] = '0';
continue;
}
ans[j] = i;
break;
}
}
return ans;
}
