Write a Python function that does the following:

Its name is reverse$\_$string

It takes one string as argument

Using a while loop, it builds a new string that is the reverse of the original string

It returns the reversed string

Write a Python function that does the following:

Its name is remove$\_$spaces

It takes one string as argument

Using a while loop to create a string with no spaces

Return the news string with no spaces

Write a Python function that does the following:

Its name is is$\_$palindrome

It takes one string as argument

It checks whether the string is a palindrome. A Palindrome reads the same backward and forward. For example: madam, and nurses run

It returns True if the string is a palindrome, and False otherwise

Use your remove$\_$spaces function to remove spaces from the argument before you check if the string is a palindrome

Use your reverse$\_$string function to reverse the string and then compare the result to the original string

Name the program palindrome.py$.$ Make sure that gradescope gives you the points for passing the test cases.

def main$()$:

print$($ reverse$\_$string$("$aeiou$"))$ # uoiea

print$($ remove$\_$spaces$("$ae io ua$"))$ # aeioua

print$($ is$\_$palindrome$("$noon$"))$ # True

print$($ is$\_$palindrome$("$deified$"))$ # True

print$($ is$\_$palindrome$("$go deliver a dare vile dog"$))$ # True

main$()$

Write a Python function that does the following:

Its name is count$\_$vowels

It takes one string as argument

It counts how many vowels there are in the string using a while loop

It returns an integer representing the number of vowels $($a$,$ e i$,$ o$,$ u $$ both lowercase and uppercase$)$ found in the argument

You can $($and should$)$ use the operator in

You are not allowed to use built$-$in count methods or functions

Name the program vowels.py$.$ Make sure that gradescope gives you the points for passing the test cases.

Test cases for development:

def main$()$:

print$($ count$\_$vowels$(""))$ # $0$

print$($ count$\_$vowels$("$aaa$"))$ # $3$

print$($ count$\_$vowels$("$AEIOU$"))$ # $5$

print$($ count$\_$vowels$("$cysts$"))$ # $0$

main$()$