結果

問題 No.1049 Zero (Exhaust)
ユーザー stoq
提出日時 2020-03-24 03:18:17
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 11 ms / 2,000 ms
コード長 3,683 bytes
コンパイル時間 1,787 ms
コンパイル使用メモリ 169,052 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-12-23 09:55:24
合計ジャッジ時間 2,308 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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 * 3
other AC * 22
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

#include <bits/stdc++.h>
using namespace std;
//#include <boost/multiprecision/cpp_int.hpp>
//using multiInt = boost::multiprecision::cpp_int;
using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;
const int MOD_TYPE = 1;
const ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353);
const int INF = (int)1e9;
const ll LINF = (ll)4e18;
const ld DINF = 1e12;
const ld PI = acos(-1.0);
const ld EPS = 1e-11;
#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define MP make_pair
#define MT make_tuple
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << endl
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << endl
#define possible(n) cout << ((n) ? "possible" : "impossible") << endl
#define Yay(n) cout << ((n) ? "Yay!" : ":(") << endl
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << endl;
vector<int> Dx = {0, 0, -1, 1, -1, 1, -1, 1, 0};
vector<int> Dy = {1, -1, 0, 0, -1, -1, 1, 1, 0};
template <int MOD>
struct Fp
{
  long long val;
  constexpr Fp(long long v = 0) noexcept : val(v % MOD)
  {
    if (val < 0)
      v += MOD;
  }
  constexpr int getmod()
  {
    return MOD;
  }
  constexpr Fp operator-() const noexcept
  {
    return val ? MOD - val : 0;
  }
  constexpr Fp operator+(const Fp &r) const noexcept
  {
    return Fp(*this) += r;
  }
  constexpr Fp operator-(const Fp &r) const noexcept
  {
    return Fp(*this) -= r;
  }
  constexpr Fp operator*(const Fp &r) const noexcept
  {
    return Fp(*this) *= r;
  }
  constexpr Fp operator/(const Fp &r) const noexcept
  {
    return Fp(*this) /= r;
  }
  constexpr Fp &operator+=(const Fp &r) noexcept
  {
    val += r.val;
    if (val >= MOD)
      val -= MOD;
    return *this;
  }
  constexpr Fp &operator-=(const Fp &r) noexcept
  {
    val -= r.val;
    if (val < 0)
      val += MOD;
    return *this;
  }
  constexpr Fp &operator*=(const Fp &r) noexcept
  {
    val = val * r.val % MOD;
    return *this;
  }
  constexpr Fp &operator/=(const Fp &r) noexcept
  {
    long long a = r.val, b = MOD, u = 1, v = 0;
    while (b)
    {
      long long t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    val = val * u % MOD;
    if (val < 0)
      val += MOD;
    return *this;
  }
  constexpr bool operator==(const Fp &r) const noexcept
  {
    return this->val == r.val;
  }
  constexpr bool operator!=(const Fp &r) const noexcept
  {
    return this->val != r.val;
  }
  friend constexpr ostream &operator<<(ostream &os, const Fp<MOD> &x) noexcept
  {
    return os << x.val;
  }
  friend constexpr istream &operator>>(istream &is, Fp<MOD> &x) noexcept
  {
    return is >> x.val;
  }
};
Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept
{
  if (n == 0)
    return 1;
  auto t = modpow(a, n / 2);
  t = t * t;
  if (n & 1)
    t = t * a;
  return t;
}
using mint = Fp<MOD>;
bool is_prime(int p)
{
  for (ll i = 2; i * i < p; i++)
  {
    if (p % i == 0)
      return false;
  }
  return true;
}
int main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << setprecision(30) << setiosflags(ios::fixed);
  ll p, k;
  cin >> p >> k;
  assert(1 <= p && p <= 1000000000);
  assert(1 <= k && k <= 1000000);
  if (p < 1000000)
    assert(is_prime(p));
  mint a, b, a_ = 1, b_ = 0;
  rep(i, k)
  {
    a = a_ * (p + 1) + b_ * 2 * (p - 1);
    b = a_ + b_ * 2 * (p - 1);
    a_ = a,
    b_ = b;
  }
  cout << a << endl;
  return 0;
}
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