結果

問題 No.1239 Multiplication -2
ユーザー ei1333333ei1333333
提出日時 2020-09-25 22:49:12
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 54 ms / 2,000 ms
コード長 4,619 bytes
コンパイル時間 2,075 ms
コンパイル使用メモリ 205,164 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-28 07:08:32
合計ジャッジ時間 3,912 ms
ジャッジサーバーID
(参考情報)
judge1 / judge3
このコードへのチャレンジ
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 3 ms
6,944 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,940 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,944 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,944 KB
testcase_15 AC 13 ms
6,944 KB
testcase_16 AC 21 ms
6,940 KB
testcase_17 AC 32 ms
6,944 KB
testcase_18 AC 41 ms
6,944 KB
testcase_19 AC 27 ms
6,944 KB
testcase_20 AC 33 ms
6,944 KB
testcase_21 AC 54 ms
6,944 KB
testcase_22 AC 39 ms
6,944 KB
testcase_23 AC 39 ms
6,940 KB
testcase_24 AC 29 ms
6,944 KB
testcase_25 AC 9 ms
6,940 KB
testcase_26 AC 35 ms
6,940 KB
testcase_27 AC 16 ms
6,940 KB
testcase_28 AC 49 ms
6,944 KB
testcase_29 AC 53 ms
6,940 KB
testcase_30 AC 20 ms
6,940 KB
testcase_31 AC 29 ms
6,944 KB
testcase_32 AC 49 ms
6,944 KB
testcase_33 AC 34 ms
6,944 KB
testcase_34 AC 31 ms
6,940 KB
testcase_35 AC 16 ms
6,944 KB
testcase_36 AC 15 ms
6,940 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 #

#include <bits/stdc++.h>

using namespace std;

using int64 = long long;
// const int mod = 1e9 + 7;
const int mod = 998244353;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;


template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
  os << p.first << " " << p.second;
  return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
  is >> p.first >> p.second;
  return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
  FixPoint(F &&f) : F(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};

template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}

template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};

using modint = ModInt< mod >;

int main() {
  int N;
  cin >> N;
  vector< int > A(N);
  cin >> A;

  modint ret = 0;
  for(int i = 0; i < N; i++) {
    if(abs(A[i]) == 2) {
      int l = i - 1, r = i + 1;

      modint Lsum[] = {0, 0};
      Lsum[0] += (i <= 1 ? 1 : modint(2).pow(i - 1));
      bool f = false;
      while(l >= 0 && abs(A[l]) == 1) {
        f ^= A[l] == -1;
        Lsum[f] += (l <= 1 ? 1 : modint(2).pow(l - 1));
        --l;
      }
      modint Rsum[] = {0, 0};
      Rsum[0] += (i + 2 >= N ? 1 : modint(2).pow(N - i - 2));
      f = false;
      while(r < N && abs(A[r]) == 1) {
        f ^= A[r] == -1;
        Rsum[f] += (r + 2 >= N ? 1 : modint(2).pow(N - r - 2));
        ++r;
      }
      if(A[i] == 2) {
        ret += Lsum[0] * Rsum[1];
        ret += Lsum[1] * Rsum[0];
      } else {
        ret += Lsum[0] * Rsum[0];
        ret += Lsum[1] * Rsum[1];
      }
    }
  }
  cout << ret / modint(2).pow(N - 1) << "\n";
}
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