我们如何有效地确定两个矩形是否重叠？

def check_overlap(RectA, RectB):
  return RectA.Left < RectB.Right and \
         RectA.Right > RectB.Left and \
         RectA.Top > RectB.Bottom and \
         RectA.Bottom < RectB.Top

#include <iostream>

class Rectangle {
public:
  int left, right, top, bottom;
};

bool check_overlap(Rectangle rect1, Rectangle rect2) {
  return rect1.left < rect2.right && \
         rect1.right > rect2.left && \
         rect1.top > rect2.bottom && \
         rect1.bottom < rect2.top ;
}

int main() {
  Rectangle rect1, rect2;
  std::cout << "Enter the coordinates of Rectangle 1 (left, right, top, bottom): ";
  std::cin >> rect1.left >> rect1.right >> rect1.top >> rect1.bottom;

  std::cout << "Enter the coordinates of Rectangle 2 (left, right, top, bottom): ";
  std::cin >> rect2.left >> rect2.right >> rect2.top >> rect2.bottom;

  if (check_overlap(rect1, rect2)) {
    std::cout << "The rectangles overlap." << std::endl;
  } else {
    std::cout << "The rectangles do not overlap." << std::endl;
  }

  return 0;
}