結果

問題 No.1258 コインゲーム
ユーザー KoDKoD
提出日時 2020-10-16 21:46:45
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 76 ms / 2,000 ms
コード長 7,241 bytes
コンパイル時間 814 ms
コンパイル使用メモリ 79,132 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-09-28 02:39:32
合計ジャッジ時間 6,304 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 16 ms
4,376 KB
testcase_01 AC 19 ms
4,376 KB
testcase_02 AC 8 ms
4,376 KB
testcase_03 AC 60 ms
4,380 KB
testcase_04 AC 70 ms
4,376 KB
testcase_05 AC 13 ms
4,380 KB
testcase_06 AC 50 ms
4,376 KB
testcase_07 AC 7 ms
4,376 KB
testcase_08 AC 6 ms
4,376 KB
testcase_09 AC 27 ms
4,384 KB
testcase_10 AC 61 ms
4,380 KB
testcase_11 AC 68 ms
4,380 KB
testcase_12 AC 50 ms
4,380 KB
testcase_13 AC 17 ms
4,376 KB
testcase_14 AC 6 ms
4,380 KB
testcase_15 AC 59 ms
4,376 KB
testcase_16 AC 13 ms
4,380 KB
testcase_17 AC 66 ms
4,376 KB
testcase_18 AC 26 ms
4,376 KB
testcase_19 AC 24 ms
4,380 KB
testcase_20 AC 50 ms
4,380 KB
testcase_21 AC 65 ms
4,376 KB
testcase_22 AC 45 ms
4,376 KB
testcase_23 AC 33 ms
4,376 KB
testcase_24 AC 14 ms
4,380 KB
testcase_25 AC 32 ms
4,376 KB
testcase_26 AC 28 ms
4,380 KB
testcase_27 AC 62 ms
4,380 KB
testcase_28 AC 17 ms
4,376 KB
testcase_29 AC 18 ms
4,376 KB
testcase_30 AC 76 ms
4,376 KB
testcase_31 AC 21 ms
4,376 KB
testcase_32 AC 10 ms
4,380 KB
testcase_33 AC 53 ms
4,376 KB
testcase_34 AC 64 ms
4,380 KB
testcase_35 AC 24 ms
4,380 KB
testcase_36 AC 62 ms
4,376 KB
testcase_37 AC 25 ms
4,376 KB
testcase_38 AC 59 ms
4,380 KB
testcase_39 AC 17 ms
4,376 KB
testcase_40 AC 74 ms
4,380 KB
testcase_41 AC 73 ms
4,376 KB
testcase_42 AC 74 ms
4,380 KB
testcase_43 AC 75 ms
4,380 KB
testcase_44 AC 74 ms
4,380 KB
testcase_45 AC 75 ms
4,380 KB
testcase_46 AC 75 ms
4,380 KB
testcase_47 AC 75 ms
4,376 KB
testcase_48 AC 73 ms
4,376 KB
testcase_49 AC 72 ms
4,376 KB
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 #

#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp"

template <class T, class U>
constexpr bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) { lhs = rhs; return true; }
  return false;
}

template <class T, class U>
constexpr bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) { lhs = rhs; return true; }
  return false;
}

/**
 * @title Chmin/Chmax
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

class range {
public:
  class iterator {
  private:
    int64_t M_position;

  public:
    constexpr iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { ++M_position; }
    constexpr bool operator != (iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };

  class reverse_iterator {
  private:
    int64_t M_position;
  
  public:
    constexpr reverse_iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { --M_position; }
    constexpr bool operator != (reverse_iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };
  
private:
  const iterator M_first, M_last;

public:
  constexpr range(int64_t first, int64_t last) noexcept: M_first(first), M_last(std::max(first, last)) { }
  constexpr iterator begin() const noexcept { return M_first; }
  constexpr iterator end() const noexcept { return M_last; }
  constexpr reverse_iterator rbegin() const noexcept { return reverse_iterator(*M_last - 1); } 
  constexpr reverse_iterator rend() const noexcept { return reverse_iterator(*M_first - 1); } 
};

/**
 * @title Range
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp"
#include <cstdint>

constexpr std::pair<int64_t, int64_t> mod_inv(int64_t a, int64_t b) {
  if ((a %= b) == 0) return { b, 0 };
  int64_t s = b, t = (a < 0 ? a + b : a);
  int64_t m0 = 0, m1 = 1, tmp = 0;
  while (t > 0) {
    const auto u = s / t;
    s -= t * u; m0 -= m1 * u;
    tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp;
  }
  return { s, (m0 < 0 ? m0 + b / s : m0) };
}

/**
 * @title Extended GCD
 */
#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"

#line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp"
#include <type_traits>

template <class Modulus>
class modular {
public:
  using value_type = uint32_t;
  using cover_type = uint64_t;
 
  static constexpr uint32_t mod() { return Modulus::mod(); }
  template <class T>
  static constexpr value_type normalize(T value_) noexcept {
    if (value_ < 0) {
      value_ = -value_;
      value_ %= mod();
      if (value_ == 0) return 0;
      return mod() - value_;
    }
    return value_ % mod();
  }

private:
  value_type value;

  template <bool IsPrime, std::enable_if_t<IsPrime>* = nullptr>
  constexpr modular inverse_helper() const noexcept { return power(*this, mod() - 2); }
  template <bool IsPrime, std::enable_if_t<!IsPrime>* = nullptr>
  constexpr modular inverse_helper() const noexcept {
    const auto tmp = mod_inv(value, mod());
    assert(tmp.first == 1);
    return modular(tmp.second);
  }

public:
  constexpr modular() noexcept : value(0) { }
  template <class T>
  explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { }
  template <class T>
  explicit constexpr operator T() const noexcept { return static_cast<T>(value); }
 
  constexpr value_type get() const noexcept { return value; }
  constexpr value_type &extract() noexcept { return value; }
  constexpr modular operator - () const noexcept { return modular(mod() - value); }
  constexpr modular operator ~ () const noexcept { return inverse(*this); }
 
  constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; }
  constexpr modular& operator += (const modular &rhs) noexcept { 
    if ((value += rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }
 
  constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; }
  constexpr modular& operator -= (const modular &rhs) noexcept { 
    if ((value += mod() - rhs.value) >= mod()) value -= mod(); 
    return *this; 
  }
 
  constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; }
  constexpr modular& operator *= (const modular &rhs) noexcept { 
    value = (cover_type) value * rhs.value % mod();
    return *this;
  }
 
  constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; }
  constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= inverse(rhs); }
 
  constexpr bool zero() const noexcept { return value == 0; }
  constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; }
  constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; }
 
  friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; }
  friend constexpr modular inverse(const modular &val) noexcept { return val.inverse_helper<Modulus::is_prime>(); }
  friend constexpr modular power(modular val, cover_type exp) noexcept { 
    modular res(1);
    for (; exp > 0; exp >>= 1, val *= val) if (exp & 1) res *= val;
    return res;
  }
 
};
 
template <uint32_t Mod, bool IsPrime = true>
struct static_modulus { 
  static constexpr uint32_t mod() noexcept { return Mod; } 
  static constexpr bool is_prime = IsPrime;
};

template <uint32_t Id = 0, bool IsPrime = false>
struct dynamic_modulus {
  static uint32_t &mod() noexcept { static uint32_t val = 0; return val; }
  static constexpr bool is_prime = IsPrime;
};

template <uint32_t Mod, bool IsPrime = true>
using mint32_t = modular<static_modulus<Mod, IsPrime>>;
using rmint32_t = modular<dynamic_modulus<>>;

/*
 * @title Modint
 */
#line 17 "main.cpp"

using i32 = std::int32_t;
using i64 = std::int64_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

constexpr i32 inf32 = (i32(1) << 30) - 1;
constexpr i64 inf64 = (i64(1) << 62) - 1;

using m32 = mint32_t<1000000007>;

int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(nullptr);
  usize testcases;
  std::cin >> testcases;
  auto solve = [&]() -> int {
    i32 N, M, X;
    std::cin >> N >> M >> X; 
    if (X == 0) {
      std::cout << (power(m32(M + 1), N) + power(m32(1 - M), N)) / m32(2) << '\n';
    }
    else {
      std::cout << (power(m32(M + 1), N) - power(m32(1 - M), N)) / m32(2) << '\n';
    }
    return 0;
  };
  while (testcases--) {
    solve();
  }
  return 0;
}
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