結果

問題 No.1383 Numbers of Product
ユーザー 👑 emthrm
提出日時 2021-02-08 03:06:07
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 2,290 bytes
コンパイル時間 7,724 ms
コンパイル使用メモリ 262,248 KB
最終ジャッジ日時 2025-01-18 16:15:26
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 50 TLE * 1
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;
int main() {
  ll n, k, m; cin >> n >> k >> m;
  double log10_n_EPS = log10(n) + EPS;
  unordered_map<ll, int> mp;
  ll a = 1;
  for (; log10(a) + log10(a + k) + log10(a + k * 2) < log10_n_EPS; ++a) {
    ll mul = a * (a + k);
    assert(mul <= n);
    ++mp[mul];
    int b = 2;
    while (log10(mul) + log10(a + b * k) < log10_n_EPS) {
      mul *= a + b * k;
      if (mul > n) break;
      ++mp[mul];
      ++b;
    }
  }
  ll lb = a - 1, ub = static_cast<ll>(ceil(sqrt(n))) + 1;
  while (ub - lb > 1) {
    ll mid = (lb + ub) >> 1;
    (log10(mid) + log10(mid + k) < log10_n_EPS && mid * (mid + k) <= n ? lb : ub) = mid;
  }
  ll l = a * (a + k), r = lb * (lb + k);
  auto check = [&](ll x) {
    if (lb < a || x < l || r < x) return false;
    if (x == l || x == r) return true;
    ll low = a + 1, high = min(lb, static_cast<ll>(ceil(sqrt(x))) + 1);
    while (high - low > 1) {
      ll mid = (low + high) >> 1;
      (mid * (mid + k) <= x ? low : high) = mid;
    }
    return low * (low + k) == x;
  };
  ll ans = 0;
  if (m == 1) {
    for (auto [x, f] : mp) {
      if (check(x)) {
        --ans;
      } else if (f == 1) {
        ++ans;
      }
    }
    ans += max(lb - a + 1, 0LL);
  } else {
    for (auto [x, f] : mp) {
      if (f == m) {
        ans += !check(x);
      } else if (f + 1 == m) {
        ans += check(x);
      }
    }
  }
  cout << ans << '\n';
  return 0;
}
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