#include <bits/stdc++.h>
#include "messy.h"
using namespace std;
#define rep(i , j , k) for (int i = j; i < (int)k; i++)
#define pb push_back
typedef vector<int> vi;
bitset<512> bs;
vi restore_permutation(int n, int w, int r) {
bs.reset();
for (int bt = 0; (1 << bt) != n; bt++) {
string s;
rep(i , 0 , n) s.pb(bs[i] ? '1' : '0');
bs.reset();
rep(i , 0 , n)
if ((i >> bt) & 1) {
bs[i] = true;
s[i] ^= 1;
add_element(s);
s[i] ^= 1;
}
}
compile_set();
string s;
vi res(n);
rep(i , 0 , n) s.pb('0');
for (int bt = 0; (1 << bt) != n; bt++) {
bs.reset();
rep(i , 0 , n) {
s[i] ^= 1;
if (check_element(s)) {
bs[i] = true;
res[i] += (1 << bt);
}
s[i] ^= 1;
}
rep(i , 0 , n) {
s[i] = '0';
if (bs[i])
s[i] = '1';
}
}
return res;
}
