tests/Enumerate_Quotients.test.cpp

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Last update: 2025-11-28 02:09:51+07:00
Problem: https://judge.yosupo.jp/problem/enumerate_quotients

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/enumerate_quotients"

#include "../misc/macros.h"
#include "../math/EnumQuotients.h"

void solve() {
  i64 n;
  cin >> n;
  auto q = EnumerateQuotients(n);
  cout << sz(q) << '\n';
  for (auto d : q) cout << d << ' ';
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin.exceptions(cin.failbit);
  int tc = 1;
  // cin >> tc;
  for (int i = 1; i <= tc; ++i) {
    solve();
  }
}

#line 1 "tests/Enumerate_Quotients.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/enumerate_quotients"

#line 1 "misc/macros.h"
// #pragma GCC optimize("Ofast,unroll-loops")       // unroll long, simple loops
// #pragma GCC target("avx2,fma")                   // vectorizing code
// #pragma GCC target("lzcnt,popcnt,abm,bmi,bmi2")  // for fast bitset operation

#include <bits/extc++.h>
#include <tr2/dynamic_bitset>

using namespace std;
using namespace __gnu_pbds;  // ordered_set, gp_hash_table
// using namespace __gnu_cxx; // rope

// for templates to work
#define all(x) (x).begin(), (x).end()
#define sz(x) (int) (x).size()
#define pb push_back
#define eb emplace_back
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;
using ld = long double;
using pii = pair<i32, i32>;
using vi = vector<i32>;

// fast map
const int RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count();
struct chash {  // customize hash function for gp_hash_table
  int operator()(int x) const { return x ^ RANDOM; }
};
gp_hash_table<int, int, chash> table;

/* ordered set
    find_by_order(k): returns an iterator to the k-th element (0-based)
    order_of_key(k): returns the number of elements in the set that are strictly less than k
*/
template <class T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

/*  rope
    rope <int> cur = v.substr(l, r - l + 1);
    v.erase(l, r - l + 1);
    v.insert(v.mutable_begin(), cur);
*/
#line 1 "math/EnumQuotients.h"
vector<i64> EnumerateQuotients(i64 N) {
  vector<i64> res;
  i64 f = 1;
  for (; f * f < N; f++) res.push_back(f);
  int qp1 = res.size();
  for (i64 k = 1; k * f <= N; k++) {
    res.push_back((k & 1) ? (N / k) : (res[qp1 + k / 2 - 1] / 2));
  }
  reverse(res.begin() + qp1, res.end());
  return res;
}
#line 5 "tests/Enumerate_Quotients.test.cpp"

void solve() {
  i64 n;
  cin >> n;
  auto q = EnumerateQuotients(n);
  cout << sz(q) << '\n';
  for (auto d : q) cout << d << ' ';
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin.exceptions(cin.failbit);
  int tc = 1;
  // cin >> tc;
  for (int i = 1; i <= tc; ++i) {
    solve();
  }
}