class Rectangle:
    def __init__(self, x1, y1, x2, y2):
        # find the lower left hand corner
        if x2 < x1:
            x1, x2 = x2, x1
            
        if y2 < y1:
            y1, y2 = y2, y1
        
        self.x = x1
        self.y = y1
        self.width = x2 - x1
        self.height = y2 - y1
        
    def area(self):
        return self.width * self.height
    
    def equals(self, another_rectangle):
        return self.x == another_rectangle.x and \
               self.y == another_rectangle.y and \
               self.width == another_rectangle.width and \
               self.height == another_rectangle.height
    
    def __str__(self):
        return "Rectangle at (" + str(self.x) + ", " + str(self.y) + \
              ") with area: " + str(self.area())
        
        
r1 = Rectangle(0, 0, 10, 20)
r2 = Rectangle(0, -10, 10, 10)
r3 = Rectangle(0, 0, 10, 20)

print r1
print r2
print r3

print "Is r1 equal to r2? " + str(r1.equals(r2))
print "Is r1 equal to r3? " + str(r1.equals(r3))