#766936 (C++17) No.1963 Subset Mex

• 問題: No.1963 Subset Mex
• ユーザー: 👑 tute7627
• 提出日時: 2022-05-28 19:07:04
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 85 ms / 4,000 ms
• コード長: 4,930 bytes
• コンパイル時間: 1,154 ms
• コンパイル使用メモリ: 93,124 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-09-20 23:37:19
• 合計ジャッジ時間: 2,411 ms
• ジャッジサーバーID （参考情報）: judge2 / judge4

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	1 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; 6,944 KB
testcase_05	AC	2 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; 6,944 KB
testcase_09	AC	2 ms; 6,944 KB
testcase_10	AC	2 ms; 6,940 KB
testcase_11	AC	2 ms; 6,940 KB
testcase_12	AC	5 ms; 6,940 KB
testcase_13	AC	5 ms; 6,940 KB
testcase_14	AC	6 ms; 6,944 KB
testcase_15	AC	5 ms; 6,944 KB
testcase_16	AC	6 ms; 6,944 KB
testcase_17	AC	7 ms; 6,944 KB
testcase_18	AC	10 ms; 6,940 KB
testcase_19	AC	21 ms; 6,944 KB
testcase_20	AC	35 ms; 6,940 KB
testcase_21	AC	71 ms; 6,940 KB
testcase_22	AC	85 ms; 6,944 KB
testcase_23	AC	70 ms; 6,944 KB
testcase_24	AC	51 ms; 6,940 KB
testcase_25	AC	42 ms; 6,944 KB
testcase_26	AC	7 ms; 6,944 KB
testcase_27	AC	10 ms; 6,940 KB
testcase_28	AC	20 ms; 6,940 KB
testcase_29	AC	25 ms; 6,944 KB

ソースコード

// たすけて～
#pragma warning(disable : 4146)

#include <algorithm>
#include <cassert>
#include <cstddef>
#include <cstdint>
#include <iomanip>
#include <ios>
#include <iostream>
#include <utility>
#include <vector>

namespace n91 {

using i32 = std::int32_t;
using i64 = std::int64_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;
using f64 = double;

struct rep {
  struct itr {
    usize i;
    constexpr itr(const usize i) noexcept : i(i) {}
    void operator++() noexcept { ++i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  const itr f, l;
  constexpr rep(const usize f, const usize l) noexcept
      : f(std::min(f, l)), l(l) {}
  constexpr auto begin() const noexcept { return f; }
  constexpr auto end() const noexcept { return l; }
};
struct revrep {
  struct itr {
    usize i;
    constexpr itr(const usize i) noexcept : i(i) {}
    void operator++() noexcept { --i; }
    constexpr usize operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
  };
  const itr f, l;
  constexpr revrep(const usize f, const usize l) noexcept
      : f(l - 1), l(std::min(f, l) - 1) {}
  constexpr auto begin() const noexcept { return f; }
  constexpr auto end() const noexcept { return l; }
};
template <class T> auto md_vec(const usize n, const T &value) {
  return std::vector<T>(n, value);
}
template <class... Args> auto md_vec(const usize n, Args... args) {
  return std::vector<decltype(md_vec(args...))>(n, md_vec(args...));
}
template <class T> constexpr T difference(const T &a, const T &b) noexcept {
  return a < b ? b - a : a - b;
}
template <class T> void chmin(T &a, const T &b) noexcept {
  if (b < a)
    a = b;
}
template <class T> void chmax(T &a, const T &b) noexcept {
  if (a < b)
    a = b;
}
template <class F> class rec_lambda {
  F f;

public:
  rec_lambda(F &&f_) : f(std::forward<F>(f_)) {}
  template <class... Args> auto operator()(Args &&... args) const {
    return f(*this, std::forward<Args>(args)...);
  }
};
template <class T> T scan() {
  T ret;
  std::cin >> ret;
  return ret;
}
constexpr char eoln = '\n';

i64 floor_div(const i64 n, const i64 d) {
  assert(d != 0);
  return n / d - static_cast<i64>((n ^ d) < 0 && n % d != 0);
}

i64 ceil_div(const i64 n, const i64 d) {
  assert(d != 0);
  return n / d + static_cast<i64>((n ^ d) >= 0 && n % d != 0);
}

#ifdef N91_LOCAL
#define OJ_LOCAL(a, b) b
#else
#define OJ_LOCAL(a, b) a
#endif

} // namespace n91

#include <atcoder/modint>

namespace n91 {

void main_() {
  using mint = atcoder::modint998244353;
  static constexpr usize MAX = OJ_LOCAL(100, 100);
  const usize n = scan<usize>();
  std::vector<usize> s(MAX + 1, 0);
  for (const usize i : rep(0, n)) {
    s[scan<usize>()]++;
  }
  mint ans = 0;
  {
    auto dp = md_vec(n + 1, n + 1, mint());
    dp[0][0] = 1;
    for (const usize i : revrep(1, MAX + 1)) {
      auto nx = md_vec(n + 1, n + 1, mint());
      for (const usize z : rep(0, n + 1)) {
        for (const usize r : rep(0, n + 1)) {
          if (dp[z][r].val() == 0) {
            continue;
          }
          for (const usize c : rep(0, n + 1)) {
            if (c + r <= s[i]) {
              nx[z + (s[i] - c - r)][r] += dp[z][r];
            } else if (r + (c + r - s[i]) <= n) {
              nx[z][r + (c + r - s[i])] += dp[z][r];
            }
          }
        }
      }
      dp = std::move(nx);
    }

    for (const usize z : rep(0, n + 1)) {
      for (const usize r : rep(0, n + 1)) {
        if (z + s[0] >= r) {
          ans += (z + s[0] - r + 1) * dp[z][r];
        }
      }
    }
  }

  {
    for (const usize min : rep(1, MAX + 1)) {
      if (s[min] == 0) {
        continue;
      }
      std::vector<mint> dp(n + 1, 0);
      for (const usize c : rep(1, s[min] + 1)) {
        dp[c] = 1;
      }
      for (const usize i : rep(min + 1, MAX + 1)) {
        std::vector<mint> nx(n + 1, 0);
        for (const usize c : rep(0, s[i] + 1)) {
          for (const usize j : rep(c, n + 1)) {
            nx[j] += dp[j - c];
          }
        }
        dp = std::move(nx);
      }
      usize r = 1;
      usize amari = 0;
      for (const usize i : revrep(1, min)) {
        if(s[i] >= r)amari += s[i] - r;
        r *= 2;
        r -= std::min(r / 2, s[i]);
        chmin(r, n + 1);
      }
      r -= std::min(r, s[0]);
      r -= std::min(r, amari);
      for (const usize j : rep(0, n + 1)) {
        if (j < r) {
          ans -= dp[j];
        }
      }
    }
  }
  if (s[0] == 0 && s[1] == 0) {
    ans += 1;
  }

  ans -= 1;

  std::cout << ans.val() << eoln;
}

} // namespace n91

int main() {
  //*
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  //*/
  std::cout << std::fixed << std::setprecision(20);
  n91::main_();
  return 0;
}