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#include <vector>
#include "messy.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define y1 zck_is_king
#define pii pair<int, int>
#define ull unsigned ll
#define f first
#define s second
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
#define SQ(x) (x)*(x)
#define MN(a,b) a = min(a,(__typeof__(a))(b))
#define MX(a,b) a = max(a,(__typeof__(a))(b))
#define pb push_back
#define REP(i,n) for (int i = 0; i<n; ++i)
#define RREP(i,n) for (int i = n-1; i>=0; --i)
#define REP1(i,n) for (int i = 1; i<=n; ++i)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#define BALBIT
#ifdef BALBIT
#define IOS()
#define bug(...) fprintf(stderr,"#%d (%s) = ",__LINE__,#__VA_ARGS__),_do(__VA_ARGS__);
template<typename T> void _do(T &&x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T &&x, S &&...y){cerr<<x<<", ";_do(y...);}
#else
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#define endl '\n'
#define bug(...)
#endif
const int iinf = 1e9+10;
const ll inf = 1ll<<60;
const ll mod = 1e9+7 ;
void GG(){cout<<"0\n"; exit(0);}
ll mpow(ll a, ll n, ll mo = mod){ // a^n % mod
ll re=1;
while (n>0){
if (n&1) re = re*a %mo;
a = a*a %mo;
n>>=1;
}
return re;
}
ll inv (ll b, ll mo = mod){
if (b==1) return b;
return (mo-mo/b) * inv(mo%b,mo) % mo;
}
const int maxn = 1e5+5;
void flp(char &c) {
if (c == '0') c = '1';
else c = '0';
}
std::vector<int> restore_permutation(int n, int w, int r) {
// add_element("0");
// compile_set();
// check_element("0");
vector<int> re(n);
int B = 1; while ((1<<B) < n) ++B;
// int logB = 1; while((1<<logB) < B) ++logB;
// bug(B, logB);
string zeros = ""; REP(i,n) zeros+='0';
// string ones = ""; REP(i,n) ones+='1';
// for (int i = 1; i<=logB; ++i) {
// string ask = ones;
// for (int j = 0; j<i; ++j) {
// ask[SZ(ask)-j-1] = '0';
// }
// add_element(ask);
// }
string lask = zeros;
for (int lay = 0; lay < B; ++lay) {
string nask = zeros;
{
REP(i,n) {
if ((1<<lay) & i) {
string ask = lask;
flp(ask[i]);
add_element(ask);
nask[i] = '1';
}
}
}
lask = nask;
}
compile_set();
lask = zeros;
for (int lay = 0; lay < B; ++lay) {
string nask = zeros;
REP(i,n) {
string tt = lask;
flp(tt[i]);
if (check_element(tt)) {
nask[i] = '1';
re[i] += (1<<lay);
}
}
lask = nask;
}
return re;
}
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