結果

問題 No.1673 Lamps on a line
ユーザー keijakkeijak
提出日時 2021-09-10 21:31:57
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 74 ms / 2,000 ms
コード長 6,394 bytes
コンパイル時間 2,165 ms
コンパイル使用メモリ 206,176 KB
実行使用メモリ 31,268 KB
最終ジャッジ日時 2023-09-02 16:04:53
合計ジャッジ時間 3,541 ms
ジャッジサーバーID
(参考情報)
judge13 / judge14
このコードへのチャレンジ(β)

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 1 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 13 ms
4,380 KB
testcase_03 AC 12 ms
4,380 KB
testcase_04 AC 22 ms
4,384 KB
testcase_05 AC 3 ms
4,384 KB
testcase_06 AC 19 ms
4,384 KB
testcase_07 AC 58 ms
29,296 KB
testcase_08 AC 14 ms
27,740 KB
testcase_09 AC 56 ms
9,356 KB
testcase_10 AC 74 ms
16,956 KB
testcase_11 AC 16 ms
17,272 KB
testcase_12 AC 68 ms
31,268 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>
#define REP_(i, a_, b_, a, b, ...) \
  for (int i = (a), END_##i = (b); i < END_##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;

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 T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &a) {
  return os << "(" << a.first << ", " << a.second << ")";
}
template<typename Container>
std::ostream &print_seq(const Container &a, std::string_view sep = " ",
                        std::string_view ends = "\n",
                        std::ostream &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 << "{")) << "}";
}

void print() { std::cout << "\n"; }
template<class T>
void print(const T &x) {
  std::cout << x << "\n";
}
template<typename Head, typename... Tail>
void print(const Head &head, Tail... tail) {
  std::cout << head << " ";
  print(tail...);
}

struct Input {
  template<typename T>
  operator T() const {
    T x;
    std::cin >> x;
    return x;
  }
} in;

#ifdef MY_DEBUG
#include "debug_dump.hpp"
#else
#define DUMP(...)
#endif

using namespace std;

template<typename LazyMonoid>
struct LazySegTree {
  using T = typename LazyMonoid::T;
  using F = typename LazyMonoid::F;

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

  explicit LazySegTree(int n)
      : LazySegTree(std::vector<T>(n, LazyMonoid::id())) {}

  explicit LazySegTree(const std::vector<T> &v) : n_(int(v.size())) {
    offset_ = 1;
    for (bits_ = 0; offset_ < n_; ++bits_) {
      offset_ <<= 1;
    }
    data_.assign(2 * offset_, LazyMonoid::id());
    lazy_ = std::vector<F>(offset_, LazyMonoid::f_id());
    for (int i = 0; i < n_; i++) data_[offset_ + i] = v[i];
    for (int i = offset_ - 1; i >= 1; i--) {
      update(i);
    }
  }

  void set(int p, T x) {
    assert(0 <= p && p < n_);
    p += offset_;
    // Update the leaf.
    for (int i = bits_; i >= 1; i--) push(p >> i);
    data_[p] = x;
    // Update its ancestors.
    for (int i = 1; i <= bits_; i++) update(p >> i);
  }

  const T &operator[](int p) const {
    assert(0 <= p && p < n_);
    p += offset_;
    for (int i = bits_; i >= 1; i--) push(p >> i);
    return data_[p];
  }

  T fold(int l, int r) const {
    assert(0 <= l && l <= r && r <= n_);
    if (l == r) return LazyMonoid::id();

    l += offset_;
    r += offset_;

    for (int i = bits_; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push(r >> i);
    }

    T sml = LazyMonoid::id(), smr = LazyMonoid::id();
    while (l < r) {
      if (l & 1) sml = LazyMonoid::op(sml, data_[l++]);
      if (r & 1) smr = LazyMonoid::op(data_[--r], smr);
      l >>= 1;
      r >>= 1;
    }

    return LazyMonoid::op(sml, smr);
  }

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

  void apply(int p, F f) {
    assert(0 <= p && p < n_);
    p += offset_;
    for (int i = bits_; i >= 1; i--) push(p >> i);
    data_[p] = LazyMonoid::apply(f, data_[p]);
    for (int i = 1; i <= bits_; i++) update(p >> i);
  }
  void apply(int l, int r, F f) {
    assert(0 <= l && l <= r && r <= n_);
    if (l == r) return;

    l += offset_;
    r += offset_;

    for (int i = bits_; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push((r - 1) >> i);
    }

    {
      int l2 = l, r2 = r;
      while (l < r) {
        if (l & 1) apply_all(l++, f);
        if (r & 1) apply_all(--r, f);
        l >>= 1;
        r >>= 1;
      }
      l = l2;
      r = r2;
    }

    for (int i = 1; i <= bits_; i++) {
      if (((l >> i) << i) != l) update(l >> i);
      if (((r >> i) << i) != r) update((r - 1) >> i);
    }
  }

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

  void update(int k) {
    data_[k] = LazyMonoid::op(data_[2 * k], data_[2 * k + 1]);
  }
  void apply_all(int k, F f) const {
    data_[k] = LazyMonoid::f_apply(f, data_[k]);
    if (k < offset_) lazy_[k] = LazyMonoid::f_compose(f, lazy_[k]);
  }
  void push(int k) const {
    apply_all(2 * k, lazy_[k]);
    apply_all(2 * k + 1, lazy_[k]);
    lazy_[k] = LazyMonoid::f_id();
  }

  int n_, offset_, bits_;
  mutable std::vector<T> data_;
  mutable std::vector<F> lazy_;
};

struct XorSumOp {
  struct T {
    long long count;
    int width;  // NOTE: Must be initialized with width=1!
  };
  using F = long long;

  // Fold: Sum
  static T op(const T &x, const T &y) {
    return {x.count + y.count, x.width + y.width};
  }
  static constexpr T id() { return {0, 0}; }

  // Update: Add
  static T f_apply(const F &f, const T &x) {
    if (f == 0) return x;
    return {x.width - x.count, x.width};
  }
  static F f_compose(const F &f, const F &g) { return f ^ g; }
  static constexpr F f_id() { return 0; }
};

int main() {
  ios_base::sync_with_stdio(false), cin.tie(nullptr);
  int n = in, Q = in;
  vector<XorSumOp::T> init(n);
  REP(i, n) {
    init[i] = {0, 1};
  }
  LazySegTree<XorSumOp> seg(init);
  REP(qi, Q) {
    int l = in, r = in;
    --l;
    seg.apply(l, r, 1);
    print(seg.fold_all().count);
  }
}
0