結果

問題 No.1068 #いろいろな色 / Red and Blue and more various colors (Hard)
コンテスト
ユーザー keijak
提出日時 2021-10-19 02:56:35
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 290 ms / 3,500 ms
コード長 6,118 bytes
コンパイル時間 5,091 ms
コンパイル使用メモリ 295,824 KB
実行使用メモリ 16,128 KB
最終ジャッジ日時 2024-09-20 00:08:34
合計ジャッジ時間 10,973 ms
ジャッジサーバーID
（参考情報） 		judge1 / 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 * 29
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 #
raw source code 

#include <bits/stdc++.h>
#define REP_(i, a_, b_, a, b, ...) \
  for (int i = (a), END_##i = (b); i < END_##i; ++i)
#define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__)
#define ALL(x) std::begin(x), std::end(x)
using i64 = long long;

#include <atcoder/math>
#include <atcoder/convolution>
#include <atcoder/modint>
using Mint = atcoder::modint998244353;
std::ostream &operator<<(std::ostream &os, const Mint &m) {
  return os << m.val();
}

template<typename T, typename U>
inline bool chmax(T &a, U b) {
  return a < b and ((a = std::move(b)), true);
}
template<typename T, typename U>
inline bool chmin(T &a, U b) {
  return a > b and ((a = std::move(b)), true);
}
template<typename T>
inline int ssize(const T &a) {
  return (int) a.size();
}

template<class T>
inline std::ostream &print_one(const T &x, char endc) {
  if constexpr (std::is_same_v<T, bool>) {
    return std::cout << (x ? "Yes" : "No") << endc;
  } else {
    return std::cout << x << endc;
  }
}
template<class T>
inline std::ostream &print(const T &x) { return print_one(x, '\n'); }
template<typename T, typename... Ts>
std::ostream &print(const T &head, Ts... tail) {
  return print_one(head, ' '), print(tail...);
}
inline std::ostream &print() { return std::cout << '\n'; }

template<typename Container>
std::ostream &print_seq(const Container &a, std::string_view sep = " ",
                        std::string_view ends = "\n",
                        std::ostream &os = std::cout) {
  auto b = std::begin(a), e = std::end(a);
  for (auto it = std::begin(a); it != e; ++it) {
    if (it != b) os << sep;
    os << *it;
  }
  return os << ends;
}

template<typename T, typename = void>
struct is_iterable : std::false_type {};
template<typename T>
struct is_iterable<T, std::void_t<decltype(std::begin(std::declval<T>())),
                                  decltype(std::end(std::declval<T>()))>>
    : std::true_type {
};

template<typename T, typename = std::enable_if_t<
    is_iterable<T>::value && !std::is_same<T, std::string>::value>>
std::ostream &operator<<(std::ostream &os, const T &a) {
  return print_seq(a, ", ", "", (os << "{")) << "}";
}

struct VersatileInput {
  template<typename T>
  operator T() const {
    T x;
    std::cin >> x;
    return x;
  }
  struct Sized {
    std::size_t n;
    template<typename T>
    operator T() const {
      T x(n);
      for (auto &e: x) std::cin >> e;
      return x;
    }
  };
  Sized operator()(std::size_t n) const { return {n}; }
} const in;

inline void check(bool cond, const char *message = "!ERROR!") {
  if (not cond) throw std::runtime_error(message);
}

#ifdef MY_DEBUG
#include "debug_dump.hpp"
#else
#define DUMP(...)
#define cerr if(false)std::cerr
#endif

using namespace std;

// T: modint
template<typename T, int &DMAX>
struct NTTMult {
  static_assert(atcoder::internal::is_modint<T>::value, "Requires ACL modint.");
  static_assert(T::mod() == 998244353, "Requires an NTT-friendly mod.");

  using value_type = T;
  static constexpr int dmax() { return DMAX; }

  static std::vector<T> multiply(const std::vector<T> &x,
                                 const std::vector<T> &y) {
    std::vector<T> res = atcoder::convolution(x, y);
    if (int(res.size()) > DMAX + 1) res.resize(DMAX + 1);  // shrink
    return res;
  }

  static std::vector<T> invert(const std::vector<T> &x) {
    assert(x[0].val() != 0);  // must be invertible
    const int n = x.size();
    std::vector<T> res(n);
    res[0] = x[0].inv();
    for (int i = 1; i < n; i <<= 1) {
      const int m = std::min(2 * i, n);
      std::vector<T> f(2 * i), g(2 * i);
      for (int j = 0; j < m; ++j) f[j] = x[j];
      for (int j = 0; j < i; ++j) g[j] = res[j];
      f = atcoder::convolution(f, g);
      f.resize(2 * i);
      for (int j = 0; j < i; ++j) f[j] = 0;
      f = atcoder::convolution(f, g);
      for (int j = i; j < m; ++j) res[j] = -f[j];
    }
    return res;
  }
};
// Formal Power Series (dense format).
template<typename Mult>
struct DenseFPS {
  using T = typename Mult::value_type;
  static constexpr int dmax() { return Mult::dmax(); }

  // Coefficients of terms from x^0 to x^DMAX.
  std::vector<T> coeff_;

  DenseFPS() : coeff_(1, 0) {}  // = 0 * x^0

  explicit DenseFPS(std::vector<T> c) : coeff_(std::move(c)) {
    while (size() > dmax() + 1) coeff_.pop_back();
    assert(size() > 0);
  }
  DenseFPS(std::initializer_list<T> init) : coeff_(init.begin(), init.end()) {
    while (size() > dmax() + 1) coeff_.pop_back();
    assert(size() > 0);
  }

  DenseFPS(const DenseFPS &other) : coeff_(other.coeff_) {}
  DenseFPS(DenseFPS &&other) : coeff_(std::move(other.coeff_)) {}
  DenseFPS &operator=(const DenseFPS &other) {
    coeff_ = other.coeff_;
    return *this;
  }
  DenseFPS &operator=(DenseFPS &&other) {
    coeff_ = std::move(other.coeff_);
    return *this;
  }

  // size <= dmax + 1
  inline int size() const { return static_cast<int>(coeff_.size()); }

  // Returns the coefficient of x^k.
  inline T operator[](int k) const { return (k >= size()) ? 0 : coeff_[k]; }

  DenseFPS &operator*=(const T &scalar) {
    for (auto &x: coeff_) x *= scalar;
    return *this;
  }
  friend DenseFPS operator*(const DenseFPS &x, const T &scalar) {
    return DenseFPS(x) *= scalar;
  }
  friend DenseFPS operator*(const T &scalar, const DenseFPS &y) {
    return DenseFPS{scalar} *= y;
  }
  DenseFPS &operator*=(const DenseFPS &other) {
    return *this =
               DenseFPS(Mult::multiply(std::move(this->coeff_), other.coeff_));
  }
  friend DenseFPS operator*(const DenseFPS &x, const DenseFPS &y) {
    return DenseFPS(Mult::multiply(x.coeff_, y.coeff_));
  }
};

int BMAX = 200000;
using DF = DenseFPS<NTTMult<Mint, BMAX>>;

int main() {
  ios_base::sync_with_stdio(false), cin.tie(nullptr);
  int n = in, Q = in;
  vector<i64> a = in(n);
  vector<int> b = in(Q);
  BMAX = *max_element(ALL(b));
  deque<DF> fs;
  REP(i, n) {
    fs.push_back({Mint(a[i] - 1), 1});
  }
  while (fs.size() > 1) {
    fs.push_back(fs[0] * fs[1]);
    fs.pop_front();
    fs.pop_front();
  }
  auto &f = fs.front();
  REP(i, Q) {
    print(f[b[i]]);
  }
}
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