結果

問題 No.1554 array_and_me
ユーザー 0w10w1
提出日時 2021-06-28 22:51:34
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 53 ms / 2,000 ms
コード長 10,683 bytes
コンパイル時間 2,421 ms
コンパイル使用メモリ 218,112 KB
実行使用メモリ 5,756 KB
最終ジャッジ日時 2024-06-25 17:20:04
合計ジャッジ時間 5,936 ms
ジャッジサーバーID
（参考情報） 		judge5 / 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
5,248 KB
testcase_01 AC 19 ms
5,376 KB
testcase_02 AC 18 ms
5,376 KB
testcase_03 AC 19 ms
5,376 KB
testcase_04 AC 19 ms
5,376 KB
testcase_05 AC 19 ms
5,376 KB
testcase_06 AC 51 ms
5,756 KB
testcase_07 AC 51 ms
5,752 KB
testcase_08 AC 51 ms
5,752 KB
testcase_09 AC 51 ms
5,620 KB
testcase_10 AC 53 ms
5,752 KB
testcase_11 AC 28 ms
5,752 KB
testcase_12 AC 28 ms
5,752 KB
testcase_13 AC 31 ms
5,624 KB
testcase_14 AC 30 ms
5,748 KB
testcase_15 AC 34 ms
5,756 KB
testcase_16 AC 7 ms
5,376 KB
testcase_17 AC 6 ms
5,376 KB
testcase_18 AC 6 ms
5,376 KB
testcase_19 AC 6 ms
5,376 KB
testcase_20 AC 6 ms
5,376 KB
testcase_21 AC 36 ms
5,376 KB
testcase_22 AC 35 ms
5,376 KB
testcase_23 AC 35 ms
5,376 KB
testcase_24 AC 35 ms
5,376 KB
testcase_25 AC 35 ms
5,376 KB
testcase_26 AC 43 ms
5,376 KB
testcase_27 AC 43 ms
5,376 KB
testcase_28 AC 43 ms
5,376 KB
testcase_29 AC 43 ms
5,376 KB
testcase_30 AC 44 ms
5,376 KB
testcase_31 AC 44 ms
5,376 KB
testcase_32 AC 43 ms
5,376 KB
testcase_33 AC 43 ms
5,376 KB
testcase_34 AC 42 ms
5,376 KB
testcase_35 AC 43 ms
5,376 KB
testcase_36 AC 41 ms
5,376 KB
testcase_37 AC 39 ms
5,376 KB
testcase_38 AC 41 ms
5,376 KB
testcase_39 AC 42 ms
5,376 KB
testcase_40 AC 40 ms
5,376 KB
testcase_41 AC 23 ms
5,376 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;

/*^ debug  */

template <typename A, typename B> string to_string(pair<A, B> p);
template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p);
template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p);
string to_string(const string& s) { return '"' + s + '"'; }
string to_string(const char* s) { return to_string((string) s); }
string to_string(bool b) { return (b ? "true" : "false"); }
string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) { res += ", "; }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}
template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); }
  return res;
}
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) { res += ", "; }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}
template <typename A, typename B>
string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; }
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; }
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; }
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); }
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

/*  debug $*/

/*^ generic definitions  */

template<typename F>
struct _RecurFun : F {
  _RecurFun(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>
decltype(auto) RecurFun(F&& f) { return _RecurFun<F> { forward<F>(f) }; }

template<typename D, typename R>
vector<R> maps(const vector<D> &&d, function<R(D)> f) {
  vector<R> r(d.size());
  for (int i = 0; i < (int) d.size(); ++i) r[i] = f(d[i]);
  return r;
}

/*  generic definitions $*/

/* https://codeforces.com/contest/1466/submission/102810637 */
template <typename T>
T inverse(T a, T m) {
  T u = 0, v = 1;
  while (a != 0) {
    T t = m / a;
    m -= t * a; swap(a, m);
    u -= t * v; swap(u, v);
  }
  assert(m == 1);
  return u;
}
 
template <typename T>
class Modular {
 public:
  using Type = typename decay<decltype(T::value)>::type;
 
  constexpr Modular() : value() {}
  template <typename U>
  Modular(const U& x) {
    value = normalize(x);
  }
 
  template <typename U>
  static Type normalize(const U& x) {
    Type v;
    if (-mod() <= x && x < mod()) v = static_cast<Type>(x);
    else v = static_cast<Type>(x % mod());
    if (v < 0) v += mod();
    return v;
  }
 
  const Type& operator()() const { return value; }
  template <typename U>
  explicit operator U() const { return static_cast<U>(value); }
  constexpr static Type mod() { return T::value; }
 
  Modular& operator+=(const Modular& other) { if ((value += other.value) >= mod()) value -= mod(); return *this; }
  Modular& operator-=(const Modular& other) { if ((value -= other.value) < 0) value += mod(); return *this; }
  template <typename U> Modular& operator+=(const U& other) { return *this += Modular(other); }
  template <typename U> Modular& operator-=(const U& other) { return *this -= Modular(other); }
  Modular& operator++() { return *this += 1; }
  Modular& operator--() { return *this -= 1; }
  Modular operator++(int) { Modular result(*this); *this += 1; return result; }
  Modular operator--(int) { Modular result(*this); *this -= 1; return result; }
  Modular operator-() const { return Modular(-value); }
 
  template <typename U = T>
  typename enable_if<is_same<typename Modular<U>::Type, int>::value, Modular>::type& operator*=(const Modular& rhs) {
#ifdef _WIN32
    uint64_t x = static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value);
    uint32_t xh = static_cast<uint32_t>(x >> 32), xl = static_cast<uint32_t>(x), d, m;
    asm(
      "divl %4; \n\t"
      : "=a" (d), "=d" (m)
      : "d" (xh), "a" (xl), "r" (mod())
    );
    value = m;
#else
    value = normalize(static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value));
#endif
    return *this;
  }
  template <typename U = T>
  typename enable_if<is_same<typename Modular<U>::Type, long long>::value, Modular>::type& operator*=(const Modular& rhs) {
    long long q = static_cast<long long>(static_cast<long double>(value) * rhs.value / mod());
    value = normalize(value * rhs.value - q * mod());
    return *this;
  }
  template <typename U = T>
  typename enable_if<!is_integral<typename Modular<U>::Type>::value, Modular>::type& operator*=(const Modular& rhs) {
    value = normalize(value * rhs.value);
    return *this;
  }
 
  Modular& operator/=(const Modular& other) { return *this *= Modular(inverse(other.value, mod())); }
 
  friend const Type& abs(const Modular& x) { return x.value; }
 
  template <typename U>
  friend bool operator==(const Modular<U>& lhs, const Modular<U>& rhs);
 
  template <typename U>
  friend bool operator<(const Modular<U>& lhs, const Modular<U>& rhs);
 
  template <typename V, typename U>
  friend V& operator>>(V& stream, Modular<U>& number);
 
 private:
  Type value;
};
 
template <typename T> bool operator==(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value == rhs.value; }
template <typename T, typename U> bool operator==(const Modular<T>& lhs, U rhs) { return lhs == Modular<T>(rhs); }
template <typename T, typename U> bool operator==(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) == rhs; }
 
template <typename T> bool operator!=(const Modular<T>& lhs, const Modular<T>& rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(const Modular<T>& lhs, U rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(U lhs, const Modular<T>& rhs) { return !(lhs == rhs); }
 
template <typename T> bool operator<(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value < rhs.value; }
 
template <typename T> Modular<T> operator+(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; }
template <typename T, typename U> Modular<T> operator+(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) += rhs; }
template <typename T, typename U> Modular<T> operator+(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; }
 
template <typename T> Modular<T> operator-(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; }
template <typename T, typename U> Modular<T> operator-(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) -= rhs; }
template <typename T, typename U> Modular<T> operator-(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; }
 
template <typename T> Modular<T> operator*(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; }
template <typename T, typename U> Modular<T> operator*(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) *= rhs; }
template <typename T, typename U> Modular<T> operator*(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; }
 
template <typename T> Modular<T> operator/(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; }
template <typename T, typename U> Modular<T> operator/(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) /= rhs; }
template <typename T, typename U> Modular<T> operator/(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; }
 
template<typename T, typename U>
Modular<T> power(const Modular<T>& a, const U& b) {
  assert(b >= 0);
  Modular<T> x = a, res = 1;
  U p = b;
  while (p > 0) {
    if (p & 1) res *= x;
    x *= x;
    p >>= 1;
  }
  return res;
}
 
template <typename T>
bool IsZero(const Modular<T>& number) {
  return number() == 0;
}
 
template <typename T>
string to_string(const Modular<T>& number) {
  return to_string(number());
}
 
// U == std::ostream? but done this way because of fastoutput
template <typename U, typename T>
U& operator<<(U& stream, const Modular<T>& number) {
  return stream << number();
}
 
// U == std::istream? but done this way because of fastinput
template <typename U, typename T>
U& operator>>(U& stream, Modular<T>& number) {
  typename common_type<typename Modular<T>::Type, long long>::type x;
  stream >> x;
  number.value = Modular<T>::normalize(x);
  return stream;
}
 
/*
using ModType = int;
 
struct VarMod { static ModType value; };
ModType VarMod::value;
ModType& md = VarMod::value;
using Mint = Modular<VarMod>;
*/
 
constexpr int md = (int) 998244353;
using Mint = Modular<std::integral_constant<decay<decltype(md)>::type, md>>;
 
/*vector<Mint> fact(1, 1);
vector<Mint> inv_fact(1, 1);
 
Mint C(int n, int k) {
  if (k < 0 || k > n) {
    return 0;
  }
  while ((int) fact.size() < n + 1) {
    fact.push_back(fact.back() * (int) fact.size());
    inv_fact.push_back(1 / fact.back());
  }
  return fact[n] * inv_fact[k] * inv_fact[n - k];
}*/

int main() {
  ios::sync_with_stdio(false);

  int T; {
    cin >> T;
  }

  while (T--) {
    int N, K; {
      cin >> N >> K;
    }

    vector<int> A(N); {
      for (int i = 0; i < N; ++i) {
        cin >> A[i];
      }
    }

    vector<int> X(N); {
      auto cmp = [&](tuple<int, int, int> a, tuple<int, int, int> b) {
        auto [pi, xi, i] = a;
        auto [pj, xj, j] = b;
        return pi * (xj+1) < pj * (xi+1);
      };

      priority_queue<tuple<int, int, int>, vector<tuple<int, int, int>>, decltype(cmp)> pq(cmp);
      for (int i = 0; i < N; ++i) {
        pq.emplace(A[i], X[i], i);
      }
      for (int _ = 0; _ < K; ++_) {
        auto [p, x, i] = pq.top();
        pq.pop();
        pq.emplace(p, X[i]=x+1, i);
      }
    }

    debug(X);

    vector<Mint> fact(K+1); {
      fact[0] = 1;
      for (int i = 1; i <= K; ++i) {
        fact[i] = fact[i-1] * i;
      }
    }

    Mint suma; {
      for (int a : A) suma += a;
    }

    Mint res = 1; {
      for (int i = 1; i <= K; ++i) res *= i;
      for (int i = 0; i < N; ++i) {
        res *= power(Mint(A[i]) / suma, X[i]);
        res /= fact[X[i]];
      }
    }

    cout << res << endl;
  }
}
0