#428311 (C++17) No.986 Present

• 問題: No.986 Present
• ユーザー: noshi91
• 提出日時: 2020-02-11 13:50:21
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 25 ms / 2,000 ms
• コード長: 5,606 bytes
• コンパイル時間: 822 ms
• コンパイル使用メモリ: 89,332 KB
• 実行使用メモリ: 6,548 KB
• 最終ジャッジ日時: 2024-04-08 14:47:30
• 合計ジャッジ時間: 2,069 ms
• ジャッジサーバーID （参考情報）: judge11 / judge14

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,548 KB
testcase_01	AC	2 ms; 6,548 KB
testcase_02	AC	2 ms; 6,548 KB
testcase_03	AC	12 ms; 6,548 KB
testcase_04	AC	3 ms; 6,548 KB
testcase_05	AC	11 ms; 6,548 KB
testcase_06	AC	8 ms; 6,548 KB
testcase_07	AC	2 ms; 6,548 KB
testcase_08	AC	6 ms; 6,548 KB
testcase_09	AC	14 ms; 6,548 KB
testcase_10	AC	2 ms; 6,548 KB
testcase_11	AC	10 ms; 6,548 KB
testcase_12	AC	10 ms; 6,548 KB
testcase_13	AC	2 ms; 6,548 KB
testcase_14	AC	3 ms; 6,548 KB
testcase_15	AC	21 ms; 6,548 KB
testcase_16	AC	3 ms; 6,548 KB
testcase_17	AC	16 ms; 6,548 KB
testcase_18	AC	10 ms; 6,548 KB
testcase_19	AC	6 ms; 6,548 KB
testcase_20	AC	2 ms; 6,548 KB
testcase_21	AC	21 ms; 6,548 KB
testcase_22	AC	16 ms; 6,548 KB
testcase_23	AC	9 ms; 6,548 KB
testcase_24	AC	25 ms; 6,548 KB
testcase_25	AC	5 ms; 6,548 KB
testcase_26	AC	24 ms; 6,548 KB
testcase_27	AC	16 ms; 6,548 KB
testcase_28	AC	2 ms; 6,548 KB
testcase_29	AC	2 ms; 6,548 KB
testcase_30	AC	2 ms; 6,548 KB
testcase_31	AC	2 ms; 6,548 KB
testcase_32	AC	2 ms; 6,548 KB

ソースコード

//#define NDEBUG
#include <algorithm>
#include <cstddef>
#include <cstdint>
#include <iostream>
#include <utility>
#include <vector>

namespace n91 {

using i8 = std::int_fast8_t;
using i32 = std::int_fast32_t;
using i64 = std::int_fast64_t;
using u8 = std::uint_fast8_t;
using u32 = std::uint_fast32_t;
using u64 = std::uint_fast64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

struct rep {
  struct itr {
    usize i;
    constexpr itr(const usize i) noexcept : i(i) {}
    void operator++() noexcept { ++i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  const itr f, l;
  constexpr rep(const usize f, const usize l) noexcept
      : f(std::min(f, l)), l(l) {}
  constexpr auto begin() const noexcept { return f; }
  constexpr auto end() const noexcept { return l; }
};
struct revrep {
  struct itr {
    usize i;
    constexpr itr(const usize i) noexcept : i(i) {}
    void operator++() noexcept { --i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  const itr f, l;
  constexpr revrep(const usize f, const usize l) noexcept
      : f(l - 1), l(std::min(f, l) - 1) {}
  constexpr auto begin() const noexcept { return f; }
  constexpr auto end() const noexcept { return l; }
};
template <class T> auto md_vec(const usize n, const T &value) {
  return std::vector<T>(n, value);
}
template <class... Args> auto md_vec(const usize n, Args... args) {
  return std::vector<decltype(md_vec(args...))>(n, md_vec(args...));
}
template <class T> constexpr T difference(const T &a, const T &b) noexcept {
  return a < b ? b - a : a - b;
}
template <class T> void chmin(T &a, const T &b) noexcept {
  if (b < a)
    a = b;
}
template <class T> void chmax(T &a, const T &b) noexcept {
  if (a < b)
    a = b;
}
template <class F> class fix_point : private F {
public:
  explicit constexpr fix_point(F &&f) : F(std::forward<F>(f)) {}

  template <class... Args>
  constexpr decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};
template <class F> constexpr decltype(auto) make_fix(F &&f) {
  return fix_point<F>(std::forward<F>(f));
}
template <class T> T scan() {
  T ret;
  std::cin >> ret;
  return ret;
}

} // namespace n91
#include <cstdint>

namespace n91 {

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  using value_type = u64;

  static constexpr u64 mod = Modulus;

private:
  static_assert(mod < static_cast<u64>(1) << 32,
                "Modulus must be less than 2**32");

  u64 v;

  constexpr modint &negate() noexcept {
    if (v != 0)
      v = mod - v;
    return *this;
  }

public:
  constexpr modint(const u64 x = 0) noexcept : v(x % mod) {}
  constexpr u64 &value() noexcept { return v; }
  constexpr const u64 &value() const noexcept { return v; }
  constexpr modint operator+() const noexcept { return modint(*this); }
  constexpr modint operator-() const noexcept { return modint(*this).negate(); }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    v += rhs.v;
    if (v >= mod)
      v -= mod;
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (v < rhs.v)
      v += mod;
    v -= rhs.v;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    v = v * rhs.v % mod;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = mod - 2;
    while (exp) {
      if (exp % 2 != 0)
        *this *= rhs;
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
  constexpr bool operator==(const modint rhs) const noexcept {
    return v == rhs.v;
  }
  constexpr bool operator!=(const modint rhs) const noexcept {
    return v != rhs.v;
  }
};
template <std::uint_fast64_t Modulus>
constexpr typename modint<Modulus>::u64 modint<Modulus>::mod;

} // namespace n91
#include <functional>
#include <utility>

namespace n91 {

template <class T, class U, class Operate = std::multiplies<T>>
constexpr T power(T base, U exp, const Operate &oper = Operate(), T iden = 1) {
  while (exp != 0) {
    if (exp % 2 != 0) {
      iden = oper(iden, base);
    }
    exp /= 2;
    base = oper(base, base);
  }
  return iden;
}

} // namespace n91

namespace n91 {

void main_() {
  /*
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  //*/
  using mint = modint<998244353>;
  const usize n = scan<usize>();
  const usize m = scan<usize>();
  std::cout << power(static_cast<mint>(2), n).value() << " ";
  const mint al = power(static_cast<mint>(2), m);
  mint ans = 1;
  mint acc = 1;
  for (const usize i : rep(0, n)) {
    ans *= al - acc;
    acc *= 2;
  }

  const mint al2 = power(static_cast<mint>(2), n);
  mint ans2 = 1;
  acc = 1;
  for (const usize i : rep(0, n)) {
    ans2 *= al2 - acc;
    acc *= 2;
  }
  ans2 = ans / ans2;
  for (const usize i : rep(1, n + 1)) {
    ans /= i;
  }
  std::cout << ans.value() << " ";
  std::cout << ans2.value() << std::endl;
}

} // namespace n91

int main() {
  n91::main_();

  return 0;
}