#include <bits/stdc++.h>
#include <vector>
#include "messy.h"
using namespace std;
// add_element("0");
// compile_set();
// check_element("0");
void dcBuild(int ini, int fim, int N)
{
if (ini == fim) return;
string resp(N, '0');
for (int i = 0; i < N; i++) if (i < ini || i > fim) resp[i] = '1';
int m = (ini + fim)>>1;
for (int j = m+1; j <= fim; j++)
{
resp[j] = '1';
add_element(resp);
resp[j] = '0';
}
dcBuild(ini, m, N);
dcBuild(m+1, fim, N);
}
void dcResp(int path, vector<int> &p, const vector<int> &sameBit, const vector<int> &otherBit, int N)
{
if (sameBit.size() == 1) {p[sameBit.back()] = path; return;}
string resp(N, '0');
for (auto x : otherBit) resp[x] = '1';
vector<int> lSame, lOther = otherBit, rSame, rOther = otherBit;
for (auto x : sameBit)
{
resp[x] = '1';
if (check_element(resp)) lOther.push_back(x), rSame.push_back(x);
else lSame.push_back(x), rOther.push_back(x);
resp[x] = '0';
}
dcResp((path<<1)+0, p, lSame, lOther, N);
dcResp((path<<1)+1, p, rSame, rOther, N);
}
vector<int> restore_permutation(int N, int W, int R)
{
dcBuild(0, N-1, N);
compile_set();
vector<int> p(N), sameBit(N), otherBit;
iota(sameBit.begin(), sameBit.end(), 0);
dcResp(0, p, sameBit, otherBit, N);
return p;
}
