#925650 (C++23) No.2527 H and W

• 問題: No.2527 H and W
• ユーザー: risujiroh
• 提出日時: 2023-11-03 22:01:29
• 言語: C++23 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 25 ms / 2,000 ms
• コード長: 4,731 bytes
• コンパイル時間: 2,877 ms
• コンパイル使用メモリ: 256,492 KB
• 実行使用メモリ: 10,892 KB
• 最終ジャッジ日時: 2023-11-03 22:02:02
• 合計ジャッジ時間: 4,119 ms
• ジャッジサーバーID （参考情報）: judge14 / judge13

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	13 ms; 10,892 KB
testcase_01	AC	13 ms; 10,892 KB
testcase_02	AC	21 ms; 10,892 KB
testcase_03	AC	11 ms; 10,892 KB
testcase_04	AC	20 ms; 10,892 KB
testcase_05	AC	21 ms; 10,892 KB
testcase_06	AC	21 ms; 10,892 KB
testcase_07	AC	12 ms; 10,892 KB
testcase_08	AC	21 ms; 10,892 KB
testcase_09	AC	13 ms; 10,892 KB
testcase_10	AC	12 ms; 10,892 KB
testcase_11	AC	21 ms; 10,892 KB
testcase_12	AC	21 ms; 10,892 KB
testcase_13	AC	20 ms; 10,892 KB
testcase_14	AC	21 ms; 10,892 KB
testcase_15	AC	22 ms; 10,892 KB
testcase_16	AC	25 ms; 10,892 KB
testcase_17	AC	21 ms; 10,892 KB
testcase_18	AC	22 ms; 10,892 KB
testcase_19	AC	18 ms; 10,892 KB
testcase_20	AC	19 ms; 10,892 KB
testcase_21	AC	22 ms; 10,892 KB
testcase_22	AC	21 ms; 10,892 KB
testcase_23	AC	21 ms; 10,892 KB
testcase_24	AC	17 ms; 10,892 KB
testcase_25	AC	12 ms; 10,892 KB

ソースコード

#if __INCLUDE_LEVEL__ == 0

#include __BASE_FILE__

namespace {

using Fp = atcoder::modint998244353;

Comb<Fp> comb(1e6);

void solve() {
  int64_t h, w, k;
  scan(h, w, k);
  Fp ans = 0;
  for (int i : rep1(h)) {
    if (k % i == 0) {
      if (k / i <= w) {
        ans += comb.binom(h, i) * comb.binom(w, k / i);
      }
    }
  }
  print(ans);
}

}  // namespace

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  solve();
}

#else  // __INCLUDE_LEVEL__

#include <bits/stdc++.h>

using namespace std;

#include <atcoder/modint>

template <class T>
vector<T> make_vector_for_overwrite(int n) {
  static_assert(is_trivially_destructible_v<T>);
  vector<T> v;
  v.reserve(n);
  auto p = (T**)&v;
  p[1] = p[2];
  return v;
}

template <class T>
class Comb {
 public:
  Comb() = default;

  explicit Comb(int max_n)
      : fact_(make_vector_for_overwrite<T>(max_n + 1)),
        recip_fact_(make_vector_for_overwrite<T>(max_n + 1)) {
    fact_[0] = 1;
    for (int n = 1; n <= max_n; ++n) {
      fact_[n] = fact_[n - 1] * n;
    }
    recip_fact_[max_n] = 1 / fact_[max_n];
    for (int n = max_n; 1 <= n; --n) {
      recip_fact_[n - 1] = n * recip_fact_[n];
    }
  }

  T recip(int n) const {
    assert(n);
    return n < 0 ? -recip(-n) : recip_fact_[n] * fact_[n - 1];
  }

  T fact(int n) const {
    assert(0 <= n);
    return fact_[n];
  }

  T recip_fact(int n) const { return n < 0 ? 0 : recip_fact_[n]; }

  T falling_fact(int n, int k) const {
    assert(0 <= n || n < k);
    if (n < 0) {
      T t = falling_fact(k - n - 1, k);
      return k & 1 ? -t : t;
    }
    return n < k ? 0 : recip_fact(n - k) * fact(n);
  }

  T recip_falling_fact(int n, int k) const {
    assert(n < 0 || k <= n);
    return falling_fact(n - k, -k);
  }

  T rising_fact(int n, int k) const {
    assert(n <= 0 || 0 < n + k);
    return falling_fact(n + k - 1, k);
  }

  T recip_rising_fact(int n, int k) const {
    assert(0 < n || n + k <= 0);
    return falling_fact(n - 1, -k);
  }

  T binom(int n, int k) const {
    if ((n < 0) ^ (k < 0) ^ (n < k)) {
      return 0;
    }
    if (n < 0 && k < 0) {
      k = n - k;
    }
    return recip_fact(k) * falling_fact(n, k);
  }

  T recip_binom(int n, int k) const {
    assert((0 <= n) ^ (0 <= k) ^ (k <= n));
    k = max(k, n - k);
    return recip_falling_fact(n, k) * fact(k);
  }

  T multiset(int n, int k) const { return binom(n + k - 1, k); }

  T recip_multiset(int n, int k) const {
    assert((0 < n) ^ (0 <= k) ^ (0 < n + k));
    return recip_binom(n + k - 1, k);
  }

 private:
  vector<T> fact_;
  vector<T> recip_fact_;
};

namespace std {

template <class T1, class T2>
istream& operator>>(istream& is, pair<T1, T2>& p) {
  return is >> p.first >> p.second;
}

template <class... Ts>
istream& operator>>(istream& is, tuple<Ts...>& t) {
  return apply([&is](auto&... xs) -> istream& { return (is >> ... >> xs); }, t);
}

template <class R, enable_if_t<!is_same_v<R, string&>>* = nullptr>
auto operator>>(istream& is, R&& r) -> decltype(is >> *begin(r)) {
  for (auto&& e : r) {
    is >> e;
  }
  return is;
}

template <class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
  return os << p.first << ' ' << p.second;
}

template <class... Ts>
ostream& operator<<(ostream& os, const tuple<Ts...>& t) {
  auto f = [&os](const auto&... xs) -> ostream& {
    [[maybe_unused]] auto sep = "";
    ((os << exchange(sep, " ") << xs), ...);
    return os;
  };
  return apply(f, t);
}

template <class R, enable_if_t<!is_convertible_v<R, string_view>>* = nullptr>
auto operator<<(ostream& os, R&& r) -> decltype(os << *begin(r)) {
  auto sep = "";
  for (auto&& e : r) {
    os << exchange(sep, " ") << e;
  }
  return os;
}

}  // namespace std

namespace atcoder {

template <class T, internal::is_modint_t<T>* = nullptr>
istream& operator>>(istream& is, T& x) {
  int v;
  is >> v;
  x = T::raw(v);
  return is;
}

template <class T, internal::is_modint_t<T>* = nullptr>
ostream& operator<<(ostream& os, const T& x) {
  return os << x.val();
}

}  // namespace atcoder

template <class... Ts>
void scan(Ts&&... xs) {
  (cin >> ... >> xs);
}

template <class... Ts>
void print(Ts&&... xs) {
  cout << tie(xs...) << '\n';
}

inline auto rep(int l, int r) { return views::iota(min(l, r), r); }
inline auto rep(int n) { return rep(0, n); }
inline auto rep1(int l, int r) { return rep(l, r + 1); }
inline auto rep1(int n) { return rep(1, n + 1); }
inline auto per(int l, int r) { return rep(l, r) | views::reverse; }
inline auto per(int n) { return per(0, n); }
inline auto per1(int l, int r) { return per(l, r + 1); }
inline auto per1(int n) { return per(1, n + 1); }

inline auto len = ranges::ssize;

#endif  // __INCLUDE_LEVEL__