#376385 (C++14) No.878 Range High-Element Query

• 問題: No.878 Range High-Element Query
• ユーザー: noshi91
• 提出日時: 2019-09-06 21:56:49
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 257 ms / 2,000 ms
• コード長: 12,041 bytes
• コンパイル時間: 881 ms
• コンパイル使用メモリ: 82,548 KB
• 実行使用メモリ: 12,416 KB
• 最終ジャッジ日時: 2024-06-24 17:43:27
• 合計ジャッジ時間: 3,376 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

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	3 ms; 6,940 KB
testcase_02	AC	3 ms; 6,940 KB
testcase_03	AC	2 ms; 6,944 KB
testcase_04	AC	3 ms; 6,944 KB
testcase_05	AC	4 ms; 6,940 KB
testcase_06	AC	2 ms; 6,940 KB
testcase_07	AC	2 ms; 6,944 KB
testcase_08	AC	4 ms; 6,944 KB
testcase_09	AC	4 ms; 6,940 KB
testcase_10	AC	3 ms; 6,940 KB
testcase_11	AC	247 ms; 11,776 KB
testcase_12	AC	154 ms; 10,496 KB
testcase_13	AC	198 ms; 9,600 KB
testcase_14	AC	156 ms; 8,448 KB
testcase_15	AC	160 ms; 10,496 KB
testcase_16	AC	234 ms; 12,160 KB
testcase_17	AC	249 ms; 12,416 KB
testcase_18	AC	257 ms; 12,416 KB

ソースコード

//#define NDEBUG
#include <cstddef>
#include <cstdint>
#include <iostream>
#include <vector>

namespace n91 {

  using i8 = std::int_fast8_t;
  using i32 = std::int_fast32_t;
  using i64 = std::int_fast64_t;
  using u8 = std::uint_fast8_t;
  using u32 = std::uint_fast32_t;
  using u64 = std::uint_fast64_t;
  using isize = std::ptrdiff_t;
  using usize = std::size_t;

  constexpr usize operator"" _z(unsigned long long x) noexcept {
    return static_cast<usize>(x);
  }

  class rep {
    const usize f, l;

  public:
    class itr {
      friend rep;
      usize i;
      constexpr itr(const usize x) noexcept : i(x) {}

    public:
      void operator++() noexcept { ++i; }
      constexpr usize operator*() const noexcept { return i; }
      constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
    };
    constexpr rep(const usize first, const usize last) noexcept
      : f(first), l(last) {}
    constexpr itr begin() const noexcept { return itr(f); }
    constexpr itr end() const noexcept { return itr(l); }
  };
  class revrep {
    const usize f, l;

  public:
    class itr {
      friend revrep;
      usize i;
      constexpr itr(usize x) noexcept : i(x) {}

    public:
      void operator++() noexcept { --i; }
      constexpr usize operator*() const noexcept { return i; }
      constexpr bool operator!=(const itr x) const noexcept { return i != x.i; }
    };
    constexpr revrep(usize first, usize last) noexcept : f(--first), l(--last) {}
    constexpr itr begin() const noexcept { return itr(l); }
    constexpr itr end() const noexcept { return itr(f); }
  };
  template <class T> using vec_alias = std::vector<T>;
  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) {
    return a < b ? b - a : a - b;
  }
  template <class T> T scan() {
    T ret;
    std::cin >> ret;
    return ret;
  }

} // namespace n91

#include <cassert>
#include <iterator>
#include <utility>
#include <vector>

template <class Monoid> class segment_tree {
public:
  using value_structure = Monoid;
  using value_type = typename value_structure::value_type;
  using container_type = std::vector<value_type>;
  using const_reference = typename container_type::const_reference;
  using size_type = typename container_type::size_type;

protected:
  static size_type getsize(const size_type size) {
    size_type ret = 1;
    while (ret < size)
      ret <<= 1;
    return ret;
  }

  size_type size_;
  container_type tree;

  size_type base_size() const { return tree.size() >> 1; }
  void recalc(const size_type index) {
    tree[index] =
      value_structure::operation(tree[index << 1], tree[index << 1 | 1]);
  }

public:
  segment_tree() : size_(0), tree() {}
  explicit segment_tree(const size_type size)
    : size_(size), tree(getsize(size) << 1, value_structure::identity()) {}
  template <class InputIterator>
  segment_tree(InputIterator first, InputIterator last)
    : size_(::std::distance(first, last)), tree() {
    const size_type cap = getsize(size_);
    tree.reserve(cap << 1);
    tree.resize(cap, value_structure::identity());
    tree.insert(tree.end(), first, last);
    tree.resize(cap << 1, value_structure::identity());
    for (size_type i = cap - 1; i; --i)
      recalc(i);
  }

  bool empty() const { return !size_; }
  size_type size() const { return size_; }

  const_reference operator[](const size_type index) const {
    assert(index < size());
    return tree[index + base_size()];
  }
  value_type fold(size_type first, size_type last) const {
    assert(first <= last);
    assert(first <= size());
    assert(last <= size());
    value_type ret_l = value_structure::identity(),
      ret_r = value_structure::identity();
    for (first += base_size(), last += base_size(); first < last;
      first >>= 1, last >>= 1) {
      if (first & 1)
        ret_l = value_structure::operation(::std::move(ret_l), tree[first++]);
      if (last & 1)
        ret_r = value_structure::operation(tree[last - 1], ::std::move(ret_r));
    }
    return value_structure::operation(::std::move(ret_l), ::std::move(ret_r));
  }
  template <class F> size_type search(const F& f) const {
    if (f(value_structure::identity()))
      return 0;
    if (!f(tree[1]))
      return size() + 1;
    value_type acc = value_structure::identity();
    size_type i = 1;
    while (i < base_size())
      if (!f(value_structure::operation(acc, tree[i <<= 1])))
        acc = value_structure::operation(::std::move(acc), tree[i++]);
    return i - base_size() + 1;
  }

  template <class F> void update(size_type index, const F& f) {
    assert(index < size());
    index += base_size();
    tree[index] = f(::std::move(tree[index]));
    while (index >>= 1)
      recalc(index);
  }
};

#include <cassert>
#include <iterator>
#include <stdexcept>
#include <utility>

template <class ValueMonoid, class OperatorMonoid, class Modifier,
  template <class> class Container>
class lazy_segment_tree {
public:
  using value_structure = ValueMonoid;
  using value_type = typename value_structure::value_type;
  using const_reference = const value_type &;
  using operator_structure = OperatorMonoid;
  using operator_type = typename operator_structure::value_type;
  using modifier = Modifier;
  using container_type = Container<::std::pair<value_type, operator_type>>;
  using size_type = typename container_type::size_type;

private:
  size_type size_, height;
  container_type tree;
  static size_type getheight(const size_type size) noexcept {
    size_type ret = 0;
    while (static_cast<size_type>(1) << ret < size)
      ++ret;
    return ret;
  }
  static value_type reflect(typename container_type::const_reference element) {
    return modifier::operation(element.first, element.second);
  }
  void recalc(const size_type index) {
    tree[index].first = value_structure::operation(
      reflect(tree[index << 1]), reflect(tree[index << 1 | 1]));
  }
  static void assign(operator_type& element, const operator_type& data) {
    element = operator_structure::operation(element, data);
  }
  void push(const size_type index) {
    assign(tree[index << 1].second, tree[index].second);
    assign(tree[index << 1 | 1].second, tree[index].second);
    tree[index].second = operator_structure::identity();
  }
  void propagate(const size_type index) {
    for (size_type i = height; i; --i)
      push(index >> i);
  }
  void thrust(const size_type index) {
    tree[index].first = reflect(tree[index]);
    push(index);
  }
  void evaluate(const size_type index) {
    for (size_type i = height; i; --i)
      thrust(index >> i);
  }
  void build(size_type index) {
    while (index >>= 1)
      recalc(index);
  }
  size_type base_size() const { return static_cast<size_type>(1) << height; }

public:
  lazy_segment_tree() : size_(0), height(0), tree() {}
  explicit lazy_segment_tree(const size_type size)
    : size_(size), height(getheight(size_)),
    tree(static_cast<size_type>(1) << (height + 1),
      { value_structure::identity(), operator_structure::identity() }) {}
  template <class InputIterator>
  explicit lazy_segment_tree(InputIterator first, InputIterator last)
    : size_(::std::distance(first, last)), height(getheight(size_)), tree() {
    const size_type cap = static_cast<size_type>(1) << height;
    tree.reserve(cap << 1);
    tree.resize(cap,
      { value_structure::identity(), operator_structure::identity() });
    for (; first != last; ++first)
      tree.emplace_back(*first, operator_structure::identity());
    tree.resize(cap << 1,
      { value_structure::identity(), operator_structure::identity() });
    for (size_type i = cap - 1; i; --i)
      recalc(i);
  }

  bool empty() const { return !size_; }
  size_type size() const { return size_; }

  const_reference operator[](size_type index) {
    assert(index < size());
    index += base_size();
    evaluate(index);
    tree[index].first = reflect(tree[index]);
    tree[index].second = operator_structure::identity();
    return tree[index].first;
  }
  const_reference at(size_type index) {
    if (index < size()) {
      throw ::std::out_of_range("index out of range");
    }
    else {
      index += base_size();
      evaluate(index);
      tree[index].first = reflect(tree[index]);
      tree[index].second = operator_structure::identity();
      return tree[index].first;
    }
  }
  value_type fold(size_type first, size_type last) {
    assert(first <= last);
    assert(first <= size());
    assert(last <= size());
    first += base_size();
    last += base_size();
    evaluate(first);
    evaluate(last - 1);
    value_type ret_l = value_structure::identity(),
      ret_r = value_structure::identity();
    for (; first < last; first >>= 1, last >>= 1) {
      if (first & 1)
        ret_l = value_structure::operation(ret_l, reflect(tree[first++]));
      if (last & 1)
        ret_r = value_structure::operation(reflect(tree[last - 1]), ret_r);
    }
    return value_structure::operation(ret_l, ret_r);
  }
  template <class F> size_type search(const F& f) {
    if (f(value_structure::identity()))
      return static_cast<size_type>(0);
    if (!f(reflect(tree[1])))
      return size() + 1;
    value_type acc = value_structure::identity();
    size_type i = 1;
    while (i < base_size()) {
      thrust(i);
      if (!f(value_structure::operation(acc, reflect(tree[i <<= 1]))))
        acc = value_structure::operation(acc, reflect(tree[i++]));
    }
    return i - base_size() + 1;
  }

  template <class F> void update(size_type index, const F& f) {
    assert(index < size());
    index += base_size();
    propagate(index);
    tree[index].first = f(reflect(tree[index]));
    tree[index].second = operator_structure::identity();
    build(index);
  }
  void update(size_type first, size_type last, const operator_type& data) {
    assert(first <= last);
    assert(first <= size());
    assert(last <= size());
    first += base_size();
    last += base_size();
    propagate(first);
    propagate(last - 1);
    for (size_type left = first, right = last; left < right;
      left >>= 1, right >>= 1) {
      if (left & 1)
        assign(tree[left++].second, data);
      if (right & 1)
        assign(tree[right - 1].second, data);
    }
    build(first);
    build(last - 1);
  }
};

template <class T> using vec_alias = std::vector<T>;

#include <algorithm>
#include <iostream>
#include <numeric>
#include <utility>


namespace n91 {

  template <class T> class plus_monoid {
  public:
    using value_type = T;
    static value_type operation(const value_type& x, const value_type& y) {
      return x + y;
    }
    static value_type identity() { return value_type(0); }
    static value_type reverse(const value_type& x) { return x; }
  };

  void main_() {
    const usize n = scan<usize>();
    const usize q = scan<usize>();
    segment_tree<plus_monoid<usize>> seg(n);
    std::vector<usize> a(n);
    for (auto& e : a) {
      std::cin >> e;
    }
    struct query_type {
      usize l, r, ans;
    };
    std::vector<query_type> query(q);
    for (auto& e : query) {
      scan<u32>();
      e.l = scan<usize>() - 1;
      e.r = scan<usize>();
    }
    auto idx = md_vec(n, 0, usize());
    for (const auto i : rep(0_z, q)) {
      idx[query[i].l].push_back(i);
    }

    std::vector<usize> st;

    for (const auto i : revrep(0_z, n)) {
      while (!st.empty() && a[st.back()] < a[i]) {
        seg.update(st.back(), [](auto) { return 0_z; });
        st.pop_back();
      }
      st.push_back(i);
      seg.update(i, [](auto) { return 1_z; });
      for (const auto k : idx[i]) {
        query[k].ans = seg.fold(query[k].l, query[k].r);
      }
    }

    for (const auto& e : query) {
      std::cout << e.ans << std::endl;
    }
  }

} // namespace n91

int main() {
  n91::main_();
  return 0;
}