#626328 (C++17) No.1417 100の倍数かつ正整数(2)

提出ソース

結果

問題	No.1417 100の倍数かつ正整数(2)
ユーザー	stoq
提出日時	2021-03-06 13:09:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	14 ms / 3,000 ms
コード長	7,356 bytes
コンパイル時間	2,368 ms
コンパイル使用メモリ	214,416 KB
実行使用メモリ	10,792 KB
最終ジャッジ日時	2024-10-08 10:27:36
合計ジャッジ時間	4,014 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
（要ログイン）

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	11 ms 10,624 KB
testcase_01	AC	11 ms 10,624 KB
testcase_02	AC	10 ms 10,712 KB
testcase_03	AC	10 ms 10,632 KB
testcase_04	AC	10 ms 10,672 KB
testcase_05	AC	10 ms 10,752 KB
testcase_06	AC	11 ms 10,752 KB
testcase_07	AC	11 ms 10,752 KB
testcase_08	AC	10 ms 10,652 KB
testcase_09	AC	10 ms 10,680 KB
testcase_10	AC	10 ms 10,752 KB
testcase_11	AC	10 ms 10,752 KB
testcase_12	AC	10 ms 10,676 KB
testcase_13	AC	10 ms 10,752 KB
testcase_14	AC	9 ms 10,752 KB
testcase_15	AC	10 ms 10,752 KB
testcase_16	AC	10 ms 10,624 KB
testcase_17	AC	10 ms 10,752 KB
testcase_18	AC	10 ms 10,752 KB
testcase_19	AC	10 ms 10,752 KB
testcase_20	AC	10 ms 10,752 KB
testcase_21	AC	10 ms 10,752 KB
testcase_22	AC	9 ms 10,752 KB
testcase_23	AC	9 ms 10,624 KB
testcase_24	AC	10 ms 10,720 KB
testcase_25	AC	10 ms 10,792 KB
testcase_26	AC	10 ms 10,752 KB
testcase_27	AC	10 ms 10,752 KB
testcase_28	AC	10 ms 10,752 KB
testcase_29	AC	9 ms 10,752 KB
testcase_30	AC	11 ms 10,752 KB
testcase_31	AC	10 ms 10,752 KB
testcase_32	AC	11 ms 10,752 KB
testcase_33	AC	12 ms 10,752 KB
testcase_34	AC	14 ms 10,624 KB
testcase_35	AC	14 ms 10,752 KB
testcase_36	AC	13 ms 10,752 KB
testcase_37	AC	14 ms 10,716 KB
testcase_38	AC	12 ms 10,752 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

raw source code

#define MOD_TYPE 1

#pragma region Macros

#include <bits/stdc++.h>
using namespace std;

#if 0
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/multiprecision/cpp_dec_float.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif
#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

constexpr ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353);
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr double PI = acos(-1.0);
constexpr double EPS = 1e-7;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(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") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";

struct io_init
{
  io_init()
  {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b)
{
  if (a > b)
  {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b)
{
  if (a < b)
  {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b)
{
  return (a + b - 1) / b;
}
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val)
{
  fill((T *)array, (T *)(array + N), val);
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept
{
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> &p) noexcept
{
  os << p.first << " " << p.second;
  return os;
}
#pragma endregion

#pragma region mint
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;
    if (val < 0)
      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>;

template <class T>
struct BiCoef
{
  vector<T> fact_, inv_, finv_;

  constexpr BiCoef()
  {
  }

  constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1)
  {
    init(n);
  }

  constexpr void init(int n) noexcept
  {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    int MOD = fact_[0].getmod();
    for (int i = 2; i < n; i++)
    {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }

  constexpr T C(ll n, ll k) const noexcept
  {
    if (n < k || n < 0 || k < 0)
      return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }

  constexpr T P(ll n, ll k) const noexcept
  {
    return C(n, k) * fact_[k];
  }

  constexpr T H(ll n, ll k) const noexcept
  {
    return C(n + k - 1, k);
  }

  constexpr T Ch1(ll n, ll k) const noexcept
  {
    if (n < 0 || k < 0)
      return 0;
    T res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * modpow(n - i, k) * (i & 1 ? -1 : 1);
    return res;
  }

  constexpr T fact(ll n) const noexcept
  {
    if (n < 0)
      return 0;
    return fact_[n];
  }

  constexpr T inv(ll n) const noexcept
  {
    if (n < 0)
      return 0;
    return inv_[n];
  }

  constexpr T finv(ll n) const noexcept
  {
    if (n < 0)
      return 0;
    return finv_[n];
  }
};

BiCoef<mint> bc(200010);
#pragma endregion

void solve()
{
  string s;
  cin >> s;
  int n = s.length();

  mint p[10010][3][3][2] = {};
  p[0][0][0][0] = 1;
  repi(i, n - 1) repi(two, 3) repi(five, 3) repi(b, 2)
  {
    if (!b)
      p[i + 1][two][five][b] += p[i][two][five][b];
    p[i + 1][two][five][true] += p[i][two][five][b] * 4;
    p[i + 1][min(two + 1, 2)][five][true] += p[i][two][five][b] * 2;
    p[i + 1][min(two + 2, 2)][five][true] += p[i][two][five][b] * 2;
    p[i + 1][two][min(five + 1, 2)][true] += p[i][two][five][b];
  }
  mint ans = p[n - 1][2][2][1];
  mint dp[10010][3][3][2] = {};
  dp[0][0][0][0] = 1;
  repi(i, n) repi(two, 3) repi(five, 3) repi(small, 2)
  {
    if (small)
    {
      dp[i + 1][two][five][true] += dp[i][two][five][true] * 4;
      dp[i + 1][min(two + 1, 2)][five][true] += dp[i][two][five][true] * 2;
      dp[i + 1][min(two + 2, 2)][five][true] += dp[i][two][five][true] * 2;
      dp[i + 1][two][min(five + 1, 2)][true] += dp[i][two][five][true];
    }
    else
    {
      for (int num = 1; num <= s[i] - '0'; num++)
      {
        bool b = num != s[i] - '0';
        if (num == 2 or num == 6)
          dp[i + 1][min(two + 1, 2)][five][b] += dp[i][two][five][small];
        else if (num == 4 or num == 8)
          dp[i + 1][min(two + 2, 2)][five][b] += dp[i][two][five][small];
        else if (num == 5)
          dp[i + 1][two][min(five + 1, 2)][b] += dp[i][two][five][small];
        else
          dp[i + 1][two][five][b] += dp[i][two][five][small];
      }
    }
  }
  ans += dp[n][2][2][0] + dp[n][2][2][1];

  cout << ans << "\n";
}

int main()
{
  solve();
}

yukicoder

結果

テストケース

ソースコード