b$.$ In this part of the question, you will implement the final steps in the top$-$level decomposition given at the beginning of this question:

$>$ 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 result is invalid$[9,21,8,0,1,12,1,3,8,9,2,3,3]$

The output valid will be printed.

i$.$ Identify a pattern that could best be applied to the solution of the second task given that you should not use the sum$()$ function. State clearly the name of the pattern and the pattern number, for example 'List generation Pattern $2\mathrm{.}2\text{'}.$ A list of all the patterns can be found in the Problem solving and Python quick reference.

$[$Note$,$ in addition to the pattern you have identified, you will also need to use Pattern $4\mathrm{.}2($case analysis, two cases$)].$

ii$.$ Write an algorithm based on the pattern you have identified.

iii. Implement your algorithm as Python code. This 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. Your code should include a comment that gives your PI number. Copy your Python code for this second task as text, using an evenly spaced font such as New Courier or Consolas, into your Solution document. Name your Python file Q$2$b$\_$OUCU.py$,$