// name = messy_iz.cpp, type = cpp.g++11
#include "messy.h"
#include <vector>
#include <string>
//#include "messy.h"
using namespace std;
std::vector<int> restore_permutation(int n, int w, int r) {
for (int len = n / 2; len >= 1; len >>= 1) {
for (int s = 0; s < n; s += 2 * len) {
string a = "";
for (int i = 0; i < n; i++) a += '1';
for (int i = 0; i < len * 2; i++) a[s + i] = '0';
for (int i = 0; i < len; i++) {
string ss = a;
ss[s + i] = '1';
add_element(ss);
}
}
}
compile_set();
vector<vector<int> > can(n);
for (int i = 0; i < n; i++) can[0].push_back(i);
for (int len = n / 2; len >= 1; len >>= 1) {
for (int s = 0; s < n; s += 2 * len) {
string a = "";
for (int i = 0; i < n; i++) a += '1';
for (int i = 0; i < (int)can[s].size(); i++) a[can[s][i]] = '0';
vector<int> c1, c2;
for (int i = 0; i < (int)can[s].size(); i++) {
string ss = a;
ss[can[s][i]] = '1';
if (check_element(ss)) {
c1.push_back(can[s][i]);
} else {
c2.push_back(can[s][i]);
}
}
can[s] = c1;
can[s + len] = c2;
}
}
vector<int> ans(n);
for (int i = 0; i < n; i++) ans[can[i][0]] = i;
return ans;
}
