test/yukicoder/755/main.test.cpp

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• Last update: 2021-04-23 23:44:44+09:00
• Problem: https://yukicoder.me/problems/no/755
• Link: View error logs on GitHub Actions

Depends on

• 2D cumulative sum (Mylib/Algorithm/cumulative_sum_2d.cpp)
• Input tuple (Mylib/IO/input_tuple.cpp)
• Input tuples (Mylib/IO/input_tuples.cpp)
• Input vector (Mylib/IO/input_vector.cpp)

Code

#define PROBLEM "https://yukicoder.me/problems/no/755"

#include <iostream>
#include <vector>
#include "Mylib/Algorithm/cumulative_sum_2d.cpp"
#include "Mylib/IO/input_tuples.cpp"
#include "Mylib/IO/input_vector.cpp"

namespace hl = haar_lib;

int main() {
  std::cin.tie(0);
  std::ios::sync_with_stdio(false);

  int N, M;
  std::cin >> N >> M;

  auto A = hl::input_vector<int64_t>(M, M);

  auto c = hl::cumulative_sum_2d_builder<int64_t>(M, M).update(A).build();

  for (auto [x, y] : hl::input_tuples<int, int>(N)) {
    --x, --y;

    int ans = 0;

    for (int x1 = 0; x1 <= x; ++x1) {
      for (int y1 = 0; y1 <= y; ++y1) {
        for (int x2 = x; x2 < M; ++x2) {
          for (int y2 = y; y2 < M; ++y2) {
            if (c.fold({x1, y1}, {x2 + 1, y2 + 1}) == 0) ++ans;
          }
        }
      }
    }

    std::cout << ans << std::endl;
  }

  return 0;
}

#line 1 "test/yukicoder/755/main.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/755"

#include <iostream>
#include <vector>
#line 2 "Mylib/Algorithm/cumulative_sum_2d.cpp"
#include <cassert>
#include <functional>
#line 5 "Mylib/Algorithm/cumulative_sum_2d.cpp"

namespace haar_lib {
  template <typename T>
  class cumulative_sum_2d {
  public:
    using value_type = T;

  private:
    template <typename>
    friend class cumulative_sum_2d_builder;
    int N_, M_;
    std::vector<std::vector<T>> data_;

  public:
    T fold(std::pair<int, int> p1, std::pair<int, int> p2) const {
      const auto [x1, y1] = p1;
      const auto [x2, y2] = p2;
      assert(0 <= x1 and x1 <= x2 and x2 <= N_);
      assert(0 <= y1 and y1 <= y2 and y2 <= M_);
      return data_[x2][y2] - data_[x1][y2] - data_[x2][y1] + data_[x1][y1];
    }
  };

  template <typename T>
  class cumulative_sum_2d_builder {
    int N_, M_;
    std::vector<std::vector<T>> data_;

  public:
    cumulative_sum_2d_builder() {}
    cumulative_sum_2d_builder(int N, int M) : N_(N), M_(M), data_(N + 1, std::vector<T>(M + 1)) {}

    auto& update(const std::vector<std::vector<T>>& a) {
      for (int i = 0; i < N_; ++i) {
        for (int j = 0; j < M_; ++j) {
          data_[i + 1][j + 1] += a[i][j];
        }
      }
      return *this;
    }

    auto& update(int i, int j, const T& val) {
      data_[i + 1][j + 1] += val;
      return *this;
    }

    auto build() const {
      cumulative_sum_2d<T> ret;
      ret.data_ = data_;
      ret.N_    = N_;
      ret.M_    = M_;

      for (int i = 1; i <= N_; ++i)
        for (int j = 0; j <= M_; ++j)
          ret.data_[i][j] += ret.data_[i - 1][j];
      for (int i = 0; i <= N_; ++i)
        for (int j = 1; j <= M_; ++j)
          ret.data_[i][j] += ret.data_[i][j - 1];
      return ret;
    }
  };
}  // namespace haar_lib
#line 2 "Mylib/IO/input_tuples.cpp"
#include <initializer_list>
#line 4 "Mylib/IO/input_tuples.cpp"
#include <tuple>
#include <utility>
#line 6 "Mylib/IO/input_tuple.cpp"

namespace haar_lib {
  template <typename T, size_t... I>
  static void input_tuple_helper(std::istream &s, T &val, std::index_sequence<I...>) {
    (void) std::initializer_list<int>{(void(s >> std::get<I>(val)), 0)...};
  }

  template <typename T, typename U>
  std::istream &operator>>(std::istream &s, std::pair<T, U> &value) {
    s >> value.first >> value.second;
    return s;
  }

  template <typename... Args>
  std::istream &operator>>(std::istream &s, std::tuple<Args...> &value) {
    input_tuple_helper(s, value, std::make_index_sequence<sizeof...(Args)>());
    return s;
  }
}  // namespace haar_lib
#line 8 "Mylib/IO/input_tuples.cpp"

namespace haar_lib {
  template <typename... Args>
  class InputTuples {
    struct iter {
      using value_type = std::tuple<Args...>;
      value_type value;
      bool fetched = false;
      int N, c = 0;

      value_type operator*() {
        if (not fetched) {
          std::cin >> value;
        }
        return value;
      }

      void operator++() {
        ++c;
        fetched = false;
      }

      bool operator!=(iter &) const {
        return c < N;
      }

      iter(int N) : N(N) {}
    };

    int N;

  public:
    InputTuples(int N) : N(N) {}

    iter begin() const { return iter(N); }
    iter end() const { return iter(N); }
  };

  template <typename... Args>
  auto input_tuples(int N) {
    return InputTuples<Args...>(N);
  }
}  // namespace haar_lib
#line 4 "Mylib/IO/input_vector.cpp"

namespace haar_lib {
  template <typename T>
  std::vector<T> input_vector(int N) {
    std::vector<T> ret(N);
    for (int i = 0; i < N; ++i) std::cin >> ret[i];
    return ret;
  }

  template <typename T>
  std::vector<std::vector<T>> input_vector(int N, int M) {
    std::vector<std::vector<T>> ret(N);
    for (int i = 0; i < N; ++i) ret[i] = input_vector<T>(M);
    return ret;
  }
}  // namespace haar_lib
#line 8 "test/yukicoder/755/main.test.cpp"

namespace hl = haar_lib;

int main() {
  std::cin.tie(0);
  std::ios::sync_with_stdio(false);

  int N, M;
  std::cin >> N >> M;

  auto A = hl::input_vector<int64_t>(M, M);

  auto c = hl::cumulative_sum_2d_builder<int64_t>(M, M).update(A).build();

  for (auto [x, y] : hl::input_tuples<int, int>(N)) {
    --x, --y;

    int ans = 0;

    for (int x1 = 0; x1 <= x; ++x1) {
      for (int y1 = 0; y1 <= y; ++y1) {
        for (int x2 = x; x2 < M; ++x2) {
          for (int y2 = y; y2 < M; ++y2) {
            if (c.fold({x1, y1}, {x2 + 1, y2 + 1}) == 0) ++ans;
          }
        }
      }
    }

    std::cout << ans << std::endl;
  }

  return 0;
}

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