#include <iostream>
#include <type_traits>
#include <string>
#include <cstdlib>
#include <cstdio>
#include <cassert>

class Rectangle {
public:
    Rectangle(uint32_t height, uint32_t width) :
            height_(height), width_(width) {}

    Rectangle(const Rectangle&) = default;

    uint32_t GetHeight() const { return height_; }
    uint32_t GetWidth() const { return width_; }

    virtual void SetWidth(uint32_t width) { width_ = width; }
    virtual void SetHeight(uint32_t height) { height_ = height; }

    uint32_t GetArea() const { return height_ * width_; }
    uint32_t GetPerimeter() const { return (height_ + width_) * 2; }

protected:
    uint32_t height_, width_;
};


class Square : public Rectangle {
public:
    explicit Square(uint32_t size) : Rectangle(size, size) {}

    Square(const Square&) = default;

    void SetWidth(uint32_t width) override {
        Rectangle::width_ = width;
        Rectangle::height_ = width;
    }
    void SetHeight(uint32_t height) override {
        Rectangle::height_ = height;
        Rectangle::width_ = height;
    }
};

bool CheckInvariant(Rectangle&& rect) {
    uint32_t height = 6;
    uint32_t width = 7;
    rect.SetHeight(height);
    rect.SetWidth(width);

    return rect.GetHeight() == height && rect.GetWidth() == width;
}


int main(int argc, char** argv, char** env) {
    Rectangle rectangle(5, 5);
    Square square(5);

    std::cerr << "Area test:" <<
              (rectangle.GetArea() == square.GetArea() ? "OK" : "FAIL") << std::endl;

    rectangle.SetHeight(6);
    rectangle.SetWidth(7);

    square.SetHeight(6);
    square.SetWidth(7);

    std::cerr << "Area test after resize:" <<
              (rectangle.GetArea() == square.GetArea() ? "OK" : "FAIL") << std::endl;

    std::cerr << "Invariant for rectangle: " <<
              (CheckInvariant(Rectangle(1, 1)) ? "OK" : "FAIL") << std::endl;

    std::cerr << "Invariant for square: " <<
              (CheckInvariant(Square(1)) ? "OK" : "FAIL") << std::endl;

    return EXIT_SUCCESS;
}