#include "messy.h"
#include<bits/stdc++.h>
using namespace std;
std::vector<int> restore_permutation(int n, int w, int r) {
srand(time(0));
vector<int> x (n), y (n);
for(int i = 0; i < n; i++)
x[i] = i, y[i] = i;
random_shuffle(x.begin(), x.end());
string aux(n, '0');
for(int i = 0; i < n; i++){
aux[x[i]] = '1';
// cout << "Adding: " << aux << "\n";
add_element(aux);
}
compile_set();
vector<int> marc(n, 0);
vector<int> p(n, 0);
aux = string(n, '0');
int last = n - 1;
for(int i = 0; i < n - 1; i++){
random_shuffle(y.begin(), y.end());
last = n - 1;
while(marc[y[last]]) last--;
int id = y[last];
for(int j = 0; j < last; j++){
if(marc[y[j]]) continue;
aux[y[j]] = '1';
// cout << "Checking: " << aux << "\n";
if(!check_element(aux)) {
aux[y[j]] = '0';
continue;
}
id = y[j];
break;
}
marc[id] = 1;
aux[id] = '1';
p[id] = x[i];
// cout << aux << " " << check_element(aux) << "\n";
}
for(int i = 0; i < n; i++)
if(marc[i] == 0) p[i] = x[n - 1];
return p;
}
