A student wants to write a program to check whether a book ISBN number is valid or not. Here is a top$-$level decomposition:

$>$ Check ISBN number

$>>$ Initialise a list to the $13$ digits of the ISBN number to be checked

$>>$ Make a new list by leaving the items at the even indexes $(0,2,4$ etc.$)$ unchanged and multiplying the items at the odd indexes by $3$

$>>$ Find the sum of the items in the transformed list

$>>$ If the remainder of the sum divided by $10$ is $0,$ result is valid, else the result is invalid

$>>$ Print the result

So$,$ for example, if an ISBN number is $978-0-141-18321-3$ the input is this list:

$[9,7,8,0,1,4,1,1,8,3,2,1,3]$

and the output will be valid.

One of the tests of your code should be for an input list representing a possible ISBN number partly based on the example given above and partly derived from your PI number. So$,$ the first six digits in your ISBN list should be the first six digits from your PI number and the remaining digits will be $1,1,8,3,2,1,3.$ So$,$ for example, for the PI number B$9081720,$ your ISBN list will be:

$[9,0,8,1,7,2,1,1,8,3,2,1,3]$

The first part of this question will only consider the following part of the decomposition.

$>$Check ISBN number

$>>$ Initialise a list to the $13$ digits of the ISBN number to be checked

$>>$ Make a new list by leaving the items at the even indexes $($including $0)$ unchanged and multiplying the items at the odd indexes by $3$

You may want to temporarily add a print statement to check the output.

$$ a$.$

o i$.$Describe the input data and the output data for this first task.

o ii$.$Specify one further input list you might use in testing in addition to the list you have created using your PI number. Make sure that you state the test input, the expected output and a brief explanation of why you selected this test.

o iii.Write an algorithm based on Pattern $2\mathrm{.}4.$

o iv$.$Implement your algorithm as Python code. Your code must match the steps of your algorithm and you should use comments in the code to make it clear how the two correspond. Marks will be lost if the program does not follow the algorithm. Copy your Python code, as text, into your Solution document. Name your Python file Q$2$a$\_$OUCU.py$,$ where $$OUCU$$ is your OU computer username, e$.$g$.$ abc$123.$ Then include the code file in your TMA zip file.

You should aim to use only the Python features that are introduced in the module. If you decide to use techniques or language features that TM$112$ does not cover, you must give a justification for your decisions; otherwise, marks will be lost.