A 100m race
===========

Save all functions into a file named ``race.py``.

#. The results of a 100 meters races season are stored into a nested
   :class:`list`. Each element of the main list is a sublist with the
   information corresponding to a male athlete: his name (:class:`str`) and one
   or more values (:class:`float`) that correspond to the times in seconds he
   has made in all 100 m races during this season.
   
   Write the function :py:func:`min_time` that takes a :class:`list` as
   described in the previous paragraph, and returns another :class:`list` with the
   season minimum time for each athlete. This list must be sorted
   increasingly. See the following examples:

   .. literalinclude:: test-race1.txt
      :language: python3
      :lines: 3-

   .. note::
      More tests are provided in the :download:`test-race1.txt<test-race1.txt>` file.


#. Write the function :py:func:`min_time_ath` that takes a
   :class:`list` as described in the initial paragraph, and returns
   another nested :class:`list` corresponding to the same athletes as
   in the given list and in the same order. The sublists in the
   returned nested list will have two elements: the name of the
   athlete (:class:`str`) and his minimum time (:class:`float`). See
   the following examples:

   .. literalinclude:: test-race2.txt
      :language: python3
      :lines: 3-

   .. note::
      More tests are provided in the :download:`test-race2.txt<test-race2.txt>` file.


#. Now we have a :class:`list` with the names of several athletes
   (:class:`str`) sorted by arrival order in a race (the winner is the
   first of the list). Write function :py:func:`position` that takes a
   :class:`list` of athletes names and a name of an athlete
   (:class:`str`), and returns the position (:class:`int`) in which he
   has arrived. If the athlete is not in the list, the function will
   return 0. See the following examples:

   .. literalinclude:: test-race3.txt
      :language: python3
      :lines: 3-

   .. note::
      More tests are provided in the :download:`test-race3.txt<test-race3.txt>` file.

#. We have a :class:`list` with the names of several athletes (:class:`str`) sorted
   inversely by arrival order in a race (the winner is the last of the
   list). Write function :py:func:`podium` that from such a list of names
   returns another :class:`list` with the name of the three first athletes
   sorted by arrival order. Suppose that the given list has a
   minimum of three athletes. See the following examples:

   .. literalinclude:: test-race4.txt
      :language: python3
      :lines: 3-

   .. note::
      More tests are provided in the :download:`test-race4.txt<test-race4.txt>` file.

.. rubric:: Solutions

A solution of these functions is provided in file 
:download:`race.py <solutions/race.py>`