143 lines
3.1 KiB
C++

/* Problem URL: https://codeforces.com/contest/2160/problem/C */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while (t--) {
ll n;
cin >> n;
if (n == 0) {
cout << "YES\n";
continue;
}
auto inv = [&](ll i) {
int log = 63 - __builtin_clzll(i);
ll num = 0;
rep(j, log + 1) {
ll bit = (i >> (log - j)) & 1;
num |= bit << j;
}
return num;
};
auto getans = [&]() {
int log = 63 - __builtin_clzll(n);
nrep(i, log, 61) {
ll now = 0;
rep(j, (i + 1) >> 1) {
int bitn = (n >> j) & 1;
int bitr = (n >> (i - j)) & 1;
if (bitn != bitr) {
break;
}
if (bitn == 1) {
now |= 1LL << (i - j);
continue;
}
now |= 1LL << (i - j);
now |= 1LL << j;
}
if (now == 0) {
continue;
}
if ((now ^ inv(now)) == n) {
return true;
}
}
return false;
};
cout << (getans() ? "YES\n" : "NO\n");
}
}