My Range |2|
~~~~~~~~~~~~

Our ``range`` function is broken at the labs. So, we need a new one!
Unfortunately, there are no ``for`` statements left. We have to do it
recursively. Can you help us?

Your goal is to write a function named *my_range* that takes three
integers as input and returns a list of integers. It should works in the
same way the ``range`` function works.

You **cannot** use the :math:`\color{purple}{\texttt{range()}}` function
or ``for`` statements.

You can refer `the
textbook <https://pp4e-book.github.io/chapters/ch6_functions.html#recursion>`__
for recursion.

.. container:: sampleio

   Sample I/O:

.. |2| image:: ../../figures/difficulty_four.png
   :class: difficulty

.. code:: default

   >>> my_range(3, 10, 1)
   [3, 4, 5, 6, 7, 8, 9]

   >>> my_range(3, 9, 2)
   [3, 5, 7]

.. raw:: html

   <button type="button" class="collapsible" onclick="toggle()">

Show the Answer

.. raw:: html

   </button>

.. raw:: html

   <div class="hiddenanswer">

.. code:: python

   def my_range(start, stop, step):
       if(stop <= start):
           return []
       else:
           return [start] + my_range(start + step, stop, step) # note: left side is always a list and right side will be list even it is empty.

.. raw:: html

   </div>