結果

問題 No.1086 桁和の桁和2
ユーザー stoqstoq
提出日時 2020-12-04 18:49:16
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 149 ms / 3,000 ms
コード長 6,566 bytes
コンパイル時間 4,811 ms
コンパイル使用メモリ 209,012 KB
実行使用メモリ 9,704 KB
最終ジャッジ日時 2023-10-13 08:26:59
合計ジャッジ時間 10,144 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
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 9 ms
7,744 KB
testcase_01 AC 9 ms
7,600 KB
testcase_02 AC 9 ms
7,712 KB
testcase_03 AC 8 ms
7,596 KB
testcase_04 AC 8 ms
7,772 KB
testcase_05 AC 49 ms
9,704 KB
testcase_06 AC 9 ms
7,592 KB
testcase_07 AC 8 ms
7,736 KB
testcase_08 AC 8 ms
7,788 KB
testcase_09 AC 9 ms
7,824 KB
testcase_10 AC 34 ms
8,944 KB
testcase_11 AC 15 ms
8,268 KB
testcase_12 AC 9 ms
7,604 KB
testcase_13 AC 43 ms
9,432 KB
testcase_14 AC 29 ms
8,884 KB
testcase_15 AC 27 ms
8,144 KB
testcase_16 AC 107 ms
9,180 KB
testcase_17 AC 17 ms
7,972 KB
testcase_18 AC 142 ms
9,564 KB
testcase_19 AC 117 ms
9,524 KB
testcase_20 AC 23 ms
8,112 KB
testcase_21 AC 104 ms
9,056 KB
testcase_22 AC 141 ms
9,640 KB
testcase_23 AC 88 ms
8,828 KB
testcase_24 AC 69 ms
8,560 KB
testcase_25 AC 124 ms
9,420 KB
testcase_26 AC 97 ms
9,080 KB
testcase_27 AC 78 ms
8,612 KB
testcase_28 AC 64 ms
8,636 KB
testcase_29 AC 69 ms
8,564 KB
testcase_30 AC 146 ms
9,688 KB
testcase_31 AC 144 ms
9,672 KB
testcase_32 AC 142 ms
9,632 KB
testcase_33 AC 149 ms
9,556 KB
testcase_34 AC 149 ms
9,568 KB
testcase_35 AC 50 ms
9,692 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 #

#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()
{
  int n;
  cin >> n;
  vector<ll> l(n), r(n);
  vector<int> d(n);
  rep(i, n) cin >> l[i];
  rep(i, n) cin >> r[i];
  rep(i, n) cin >> d[i];
  mint ans = 1;
  bool zero = true;
  rep(i, n)
  {
    if (d[i] == 0)
    {
      if (zero)
      {
        continue;
      }
      else
      {
        cout << 0 << "\n";
        return;
      }
    }
    else
    {
      if (zero)
      {
        zero = false;
        ans *= (modpow(10, r[i]) - modpow(10, l[i])) * bc.inv(9);
      }
      else
      {
        assert(i > 0);
        if (d[i] == d[i - 1])
          ans *= ((modpow(10, r[i]) - modpow(10, l[i])) * bc.inv(9) + 1);
        else
          ans *= (modpow(10, r[i]) - modpow(10, l[i])) * bc.inv(9);
      }
    }
  }
  cout << ans << "\n";
}

int main()
{
  solve();
}
0