結果

問題 No.2660 Sweep Cards (Easy)
ユーザー risujiroh
提出日時 2024-03-01 23:42:00
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 5,563 bytes
コンパイル時間 3,103 ms
コンパイル使用メモリ 262,920 KB
実行使用メモリ 81,408 KB
最終ジャッジ日時 2024-09-29 15:19:13
合計ジャッジ時間 12,373 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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 * 12 TLE * 1 -- * 19
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

#if __INCLUDE_LEVEL__ == 0
#include __BASE_FILE__
namespace {
using mint = atcoder::modint1000000007;
Comb<mint> comb(1e7);
mint g(int n, int k) {
  mint ret = 0;
  for (const int i : rep(n / 2 + 1)) {
    const int n2 = n - i;
    const int k2 = k - i * 2;
    if (k2 < 0 || n2 < k2) {
      continue;
    }
    ret += comb.binom(n, i) * comb.binom(n2, k2) * mint(3).pow(k2) * mint(2).pow(n2 - k2);
  }
  return ret;
}
mint f(int n, int m) {
  mint ret = 0;
  for (const int i : rep(m)) {
    ret += comb.binom(m - 1, i) * g(n - m, n - m - i - 1);
  }
  ret *= m;
  ret *= comb.recip(n - m);
  return ret;
}
void solve() {
  int n, k, q;
  scan(n, k, q);
  while (q--) {
    int m;
    scan(m);
    if (m < n) {
      print(f(n, m));
    } else {
      print(1);
    }
  }
}
}  // namespace
int main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  std::cout << std::setprecision(DBL_DECIMAL_DIG);
  solve();
}
#else  // __INCLUDE_LEVEL__
#include <bits/stdc++.h>
#include <atcoder/modint>
template <class T>
std::vector<T> make_vector_for_overwrite(int n) {
  static_assert(std::is_trivially_destructible_v<T>);
  std::vector<T> v;
  static_assert(sizeof(v) == 3 * sizeof(T*));
  v.reserve(n);
  T*(&a)[3] = reinterpret_cast<T*(&)[3]>(v);
  assert(a[0] == a[1] && a[1] + n == a[2]);
  a[1] = a[2];
  return v;
}
template <class T>
class Comb {
 public:
  Comb() = default;
  explicit Comb(int max_n)
      : fact_(make_vector_for_overwrite<T>(max_n + 1)),
        recip_fact_(make_vector_for_overwrite<T>(max_n + 1)) {
    fact_[0] = 1;
    for (const int n : std::views::iota(1, max_n + 1)) {
      fact_[n] = fact_[n - 1] * n;
    }
    recip_fact_[max_n] = 1 / fact_[max_n];
    for (const int n : std::views::iota(1, max_n + 1) | std::views::reverse) {
      recip_fact_[n - 1] = n * recip_fact_[n];
    }
  }
  T recip(int n) const {
    assert(n);
    return n < 0 ? -recip(-n) : recip_fact_[n] * fact_[n - 1];
  }
  T fact(int n) const {
    assert(0 <= n);
    return fact_[n];
  }
  T recip_fact(int n) const { return n < 0 ? 0 : recip_fact_[n]; }
  T falling_fact(int n, int k) const {
    assert(0 <= n || n < k);
    if (n < 0) {
      const T t = falling_fact(k - n - 1, k);
      return k & 1 ? -t : t;
    }
    return n < k ? 0 : recip_fact(n - k) * fact(n);
  }
  T recip_falling_fact(int n, int k) const {
    assert(n < 0 || k <= n);
    return falling_fact(n - k, -k);
  }
  T rising_fact(int n, int k) const {
    assert(n <= 0 || 0 < n + k);
    return falling_fact(n + k - 1, k);
  }
  T recip_rising_fact(int n, int k) const {
    assert(0 < n || n + k <= 0);
    return falling_fact(n - 1, -k);
  }
  T binom(int n, int k) const {
    if ((n < 0) ^ (k < 0) ^ (n < k)) {
      return 0;
    }
    if (n < 0 && k < 0) {
      k = n - k;
    }
    return recip_fact(k) * falling_fact(n, k);
  }
  T recip_binom(int n, int k) const {
    assert((0 <= n) ^ (0 <= k) ^ (k <= n));
    k = std::max(k, n - k);
    return recip_falling_fact(n, k) * fact(k);
  }
  T multiset(int n, int k) const { return binom(n + k - 1, k); }
  T recip_multiset(int n, int k) const {
    assert((0 < n) ^ (0 <= k) ^ (0 < n + k));
    return recip_binom(n + k - 1, k);
  }
 private:
  std::vector<T> fact_;
  std::vector<T> recip_fact_;
};
template <class T, class U = T>
bool chmin(T& x, U&& y) {
  return y < x && (x = std::forward<U>(y), true);
}
template <class T, class U = T>
bool chmax(T& x, U&& y) {
  return x < y && (x = std::forward<U>(y), true);
}
template <std::signed_integral T = int>
T inf() {
  T ret;
  std::memset(&ret, 0x3f, sizeof(ret));
  return ret;
}
template <std::floating_point T>
T inf() {
  return std::numeric_limits<T>::infinity();
}
template <class T>
concept Range = std::ranges::range<T> && !std::convertible_to<T, std::string_view>;
template <class T>
concept Tuple = std::__is_tuple_like<T>::value && !Range<T>;
namespace std {
istream& operator>>(istream& is, Range auto&& r) {
  for (auto&& e : r) {
    is >> e;
  }
  return is;
}
istream& operator>>(istream& is, Tuple auto&& t) {
  return apply([&](auto&... xs) -> istream& { return (is >> ... >> xs); }, t);
}
ostream& operator<<(ostream& os, Range auto&& r) {
  for (string_view sep = ""; auto&& e : r) {
    os << exchange(sep, " ") << e;
  }
  return os;
}
ostream& operator<<(ostream& os, Tuple auto&& t) {
  const auto f = [&](auto&... xs) -> ostream& {
    [[maybe_unused]] string_view sep = "";
    ((os << exchange(sep, " ") << xs), ...);
    return os;
  };
  return apply(f, t);
}
template <class T, atcoder::internal::is_modint_t<T>* = nullptr>
istream& operator>>(istream& is, T& x) {
  int v;
  is >> v;
  x = T::raw(v);
  return is;
}
template <class T, atcoder::internal::is_modint_t<T>* = nullptr>
ostream& operator<<(ostream& os, const T& x) {
  return os << x.val();
}
}  // namespace std
void scan(auto&&... xs) { std::cin >> std::tie(xs...); }
void print(auto&&... xs) { std::cout << std::tie(xs...) << '\n'; }
template <class F>
class fix {
 public:
  explicit fix(F f) : f_(std::move(f)) {}
  decltype(auto) operator()(auto&&... xs) const {
    return f_(std::ref(*this), std::forward<decltype(xs)>(xs)...);
  }
 private:
  F f_;
};
inline auto rep(int l, int r) { return std::views::iota(std::min(l, r), r); }
inline auto rep(int n) { return rep(0, n); }
inline auto rep1(int l, int r) { return rep(l, r + 1); }
inline auto rep1(int n) { return rep(1, n + 1); }
namespace ranges = std::ranges;
namespace views = std::views;
using i64 = std::int64_t;
#endif  // __INCLUDE_LEVEL__
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