Padovan numbers (2 points)
==========================

The Padovan integer sequence (or Padovan numbers) is defined as:

  :math:`x_0 = 1, x_1 = 0, x_2 = 0, x_{i} =  x_{i-2} + x_{i-3}, i \geq 3`

The first Padovan numbers are the following:

``1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616, ...``

Write function :py:func:`padovan` that takes an integer (:class:`int`)
and returns a :class:`tuple` with the first three consecutive Padovan
numbers such that its summation is greater than the given integer.

Save this function in file ``padovan.py``.

Examples:

.. literalinclude:: test-padovan.txt
      :language: python
      :lines: 3-8

.. note::

   More tests are provided in file :download:`test-padovan.txt`.