1. (5 points) The following is the __init__ method of the Rectangle class we
  described in class.  Show what you'd change to add positional
  notation (the coordinates of the upper left corner).

class Rectangle (object):
    """Define a class of rectangles. Rectangles have an associated
    height and width."""

   def __init__(self, height, width):
        self._height = height
        self._width = width

Replace with:

   def __init__(self, height, width, x, y):
        self._height = height
        self._width = width
	# You can call these anything you like:
        self._xPos = x
	self._yPos = y


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2. (5 points) Write a Boolean-valued method for the extended
  Rectangle class from question 1 that checks whether a given point is
  inside the rectangle.

  def inRectangle( self, x1, y1):
     return ( x1 >= self._xPos and x1 <= self._xPos + self._width and \
              y1 <= self._yPos and y1 >= self._yPos - self._height )

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3. (10 points) The following is part of the implementation of
  the Widget class we showed in class:

class Widget:
    def __init__(self, tag, priority):
        self._tag = tag
        self._priority = priority

    def __str__(self):
        return "< " + self._tag + ", " + str(self._priority) + " >"

    def __lt__(self, other):
        return self._priority < other._priority

    def __eq__(self, other):
        return self._priority == other._priority

Suppose we have executed:

w1 = Widget("red", 2)
w2 = Widget("white", 3)
w3 = Widget("blue", 1)
w4 = Widget("orange", 2)

What is printed or returned by each of the following:

(a)
>>> print(w1)
< red, 2 >

(b)
>>> (w1 < w2)
True

(c)
>>> str(w3)
'< blue, 1 >'

(d)
>>> w1 == w4
True

(e)
>>> w3._tag
'blue'