#597314 (C++17) No.924 紲星

• 問題: No.924 紲星
• ユーザー: keijak
• 提出日時: 2020-12-25 09:58:24
• 言語: C++17 (gcc 13.2.0 + boost 1.83.0)
• 結果: TLE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 7,059 bytes
• コンパイル時間: 4,386 ms
• コンパイル使用メモリ: 219,032 KB
• 実行使用メモリ: 38,084 KB
• 最終ジャッジ日時: 2023-10-22 01:28:42
• 合計ジャッジ時間: 32,467 ms
• ジャッジサーバーID （参考情報）: judge15 / judge14

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 4,348 KB
testcase_01	AC	2 ms; 4,348 KB
testcase_02	AC	2 ms; 4,348 KB
testcase_03	AC	3 ms; 4,348 KB
testcase_04	AC	2 ms; 4,348 KB
testcase_05	AC	4 ms; 4,348 KB
testcase_06	AC	3 ms; 4,348 KB
testcase_07	AC	3 ms; 4,348 KB
testcase_08	TLE	-
testcase_09	TLE	-
testcase_10	TLE	-
testcase_11	TLE	-
testcase_12	TLE	-
testcase_13	AC	1,087 ms; 19,960 KB
testcase_14	AC	896 ms; 16,652 KB
testcase_15	AC	935 ms; 16,484 KB
testcase_16	AC	1,503 ms; 25,488 KB
testcase_17	AC	1,744 ms; 24,200 KB
testcase_18	AC	2 ms; 4,348 KB

ソースコード

#include <bits/stdc++.h>

#define REP_(i, a_, b_, a, b, ...) \
  for (int i = (a), _Z_##i = (b); i < _Z_##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;
using u64 = unsigned long long;

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)std::size(a);
}

template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &a) {
  for (auto &x : a) is >> x;
  return is;
}
template <typename Container>
std::ostream &print_seq(const Container &a, std::string_view sep = " ",
                        std::string_view ends = "\n",
                        std::ostream *os = nullptr) {
  if (os == nullptr) 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_view>::value &&
                          !std::is_same<T, std::string>::value>>
std::ostream &operator<<(std::ostream &os, const T &a) {
  return print_seq(a, ", ", "", &(os << "{")) << "}";
}
template <typename T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &a) {
  return os << "(" << a.first << ", " << a.second << ")";
}

#ifdef ENABLE_DEBUG
template <typename T>
void pdebug(const T &value) {
  std::cerr << value;
}
template <typename T, typename... Ts>
void pdebug(const T &value, const Ts &...args) {
  pdebug(value);
  std::cerr << ", ";
  pdebug(args...);
}
#define DEBUG(...)                                   \
  do {                                               \
    std::cerr << " \033[33m (L" << __LINE__ << ") "; \
    std::cerr << #__VA_ARGS__ << ":\033[0m ";        \
    pdebug(__VA_ARGS__);                             \
    std::cerr << std::endl;                          \
  } while (0)
#else
#define pdebug(...)
#define DEBUG(...)
#endif

using namespace std;
const int INF = 1e9 + 100;

template <typename Monoid>
struct SegTree {
  using T = typename Monoid::T;

  inline int n() const { return n_; }
  inline int offset() const { return offset_; }

  explicit SegTree(int n) : n_(n) {
    offset_ = 1;
    while (offset_ < n_) offset_ <<= 1;
    data_.assign(2 * offset_, Monoid::id());
  }

  explicit SegTree(const std::vector<T> &leaves) : n_(leaves.size()) {
    offset_ = 1;
    while (offset_ < n_) offset_ <<= 1;
    data_.assign(2 * offset_, Monoid::id());
    for (int i = 0; i < n_; ++i) {
      data_[offset_ + i] = leaves[i];
    }
    for (int i = offset_ - 1; i > 0; --i) {
      data_[i] = Monoid::op(data_[i * 2], data_[i * 2 + 1]);
    }
  }

  // Sets i-th value (0-indexed) to x.
  void set(int i, const T &x) {
    int k = offset_ + i;
    data_[k] = x;
    // Update its ancestors.
    while (k > 1) {
      k >>= 1;
      data_[k] = Monoid::op(data_[k * 2], data_[k * 2 + 1]);
    }
  }

  // Queries by [l,r) range (0-indexed, half-open interval).
  T fold(int l, int r) const {
    l = std::max(l, 0) + offset_;
    r = std::min(r, offset_) + offset_;
    T vleft = Monoid::id(), vright = Monoid::id();
    for (; l < r; l >>= 1, r >>= 1) {
      if (l & 1) vleft = Monoid::op(vleft, data_[l++]);
      if (r & 1) vright = Monoid::op(data_[--r], vright);
    }
    return Monoid::op(vleft, vright);
  }

  T fold_all() const { return data_[1]; }

  // Returns i-th value (0-indexed).
  T operator[](int i) const { return data_[offset_ + i]; }

  friend std::ostream &operator<<(std::ostream &os, const SegTree &st) {
    os << "[";
    for (int i = 0; i < st.n(); ++i) {
      if (i != 0) os << ", ";
      const auto &x = st[i];
      os << x;
    }
    return os << "]";
  }

 private:
  int n_;                // number of valid leaves.
  int offset_;           // where leaves start
  std::vector<T> data_;  // data size: 2*offset_
};

struct SumCount {
  struct T {
    long long sum;
    int count;
  };
  static T op(const T &x, const T &y) {
    return {x.sum + y.sum, x.count + y.count};
  }
  static constexpr T id() { return {0, 0}; }
};

template <typename T>
struct Compress {
  std::vector<T> vec;

  explicit Compress(std::vector<T> v) : vec(v) {
    std::sort(vec.begin(), vec.end());
    vec.erase(std::unique(vec.begin(), vec.end()), vec.end());
  }

  int size() const { return vec.size(); }

  int index(T x) const {
    return lower_bound(vec.begin(), vec.end(), x) - vec.begin();
  }

  const T &value(int i) const { return vec[i]; }
};

int main() {
  std::ios::sync_with_stdio(false), cin.tie(nullptr);

  int n, q;
  cin >> n >> q;

  vector<int> a(n);
  cin >> a;
  Compress<int> comp(a);

  vector<pair<int, int>> queries(q);
  REP(qi, q) {
    int l, r;
    cin >> l >> r;
    --l;
    queries[qi] = {l, r};
  }

  vector<int> tv(q, 0), fv(q, comp.size());
  vector<i64> ans(q);
  vector<vector<int>> left(n + 1), right(n + 1);
  vector<int> pc(q);
  vector<i64> ps(q), pa(q);
  for (int iter = 0;; ++iter) {
    REP(i, n + 1) {
      left[i].clear();
      right[i].clear();
    }
    bool done = true;
    REP(i, q) {
      if (fv[i] - tv[i] > 1) {
        auto [l, r] = queries[i];
        left[l].push_back(i);
        right[r].push_back(i);
        done = false;
      }
    }
    if (done) break;

    SegTree<SumCount> seg(comp.size());
    fill(ALL(pc), 0);
    fill(ALL(ps), 0LL);
    fill(ALL(pa), 0LL);
    i64 all_sum = 0;
    REP(i, n + 1) {
      for (int j : left[i]) {
        int mid = (tv[j] + fv[j]) / 2;
        auto v = seg.fold(0, mid);
        pc[j] = v.count;
        ps[j] = v.sum;
        pa[j] = all_sum;
      }
      for (int j : right[i]) {
        int mid = (tv[j] + fv[j]) / 2;
        auto v = seg.fold(0, mid);
        i64 after_c = v.count;
        i64 after_s = v.sum;
        int smaller_c = after_c - pc[j];
        auto [l, r] = queries[j];
        int length = r - l;
        if (smaller_c <= length / 2) {
          i64 smaller_s = after_s - ps[j];
          tv[j] = mid;
          i64 val = comp.value(mid);
          ans[j] = smaller_c * val - smaller_s;
          ans[j] += (all_sum - pa[j] - smaller_s) - (r - l - smaller_c) * val;
        } else {
          fv[j] = mid;
        }
      }

      if (i < n) {
        int aix = comp.index(a[i]);
        auto v = seg[aix];
        v.count++;
        v.sum += a[i];
        seg.set(aix, v);
        all_sum += a[i];
      }
    }
  }

  REP(qi, q) { cout << ans[qi] << '\n'; }
}