Question $2$: Recursion $(20$ marks$)$

Implement the following functions using recursion in the file recursion.py$.$ Please check

test$\_$recursion.py to understand the expected behavior of each function. There are no marks

for non$-$recursive implementations or functions that rely on sorting.

a$.$ reorder$($list$\_$of$\_$letters$)(10$ marks$)$

This function takes a Python list of one$-$character strings and should reorder the

elements so that all vowels precede all consonants and return the modified list. If the

argument$$s elements are such that vowels precede consonants, then the order of the

elements must not be modified. The function must not change the given argument

$($list$\_$of$\_$letters$).$

b$.$ is$\_$alternating$($numbers$)(10$ marks$)$

This function should return True if the string numbers consists of alternating $0$s and $1$s

and False otherwise.