Using Python, create a program that find average of odds and evens numbers.

a$.$ The program should ask the user for numbers and continue to take numbers from user until the

user press $-1.$ Hint: use infinite loop and break from it when user enters $-1.$

b$.$ Create the following functions:

i$)$ CheckEvenOdd$($mylist$)$

This function takes the entire list as input $($parameters$)$ and return two lists.

First, declare two empty list, for holding even$/$odd numbers.

You should iterate through the list and check each number for even$/$odd$.$

If the number is odd append to the Odd list, otherwise append to Even list.

Return the Odd and Even list

ii$)$ CalculateAverage$($mylist$)$

This function takes the entire list as input $($parameters$)$ and return two values.

Inside this function, you should call CheckEvenOdd$($mylist$)$ and store the return values into variables.

Then calculate the average. Do not use sum$()$ function. You should iterate through the list using for loop to find the sum. You can use len$()$ function

iii$)$ PrintResults$($avgeven$,$ avgodd$)$

This function takes the average as input and print it$.|$

iv$)$ CalculatePow$($mylist$)$

This function should calculate the numbers in the list to the power of their index and return the result in the list. No need to check for even$/$odd$.$

If number in index $2$ is $4,$ it should calculate $4^{{?}^{{?}^{?}}}2.$

You can use pow$()$ function.

c$.$ Inside the main body of your code, take the numbers from the user and print the average of both even$/$odd numbers and the power calculation.

d$.$ Looping indefinitely $($Hint: use infinite while loop$),$ the program should give the user the option to repeat the operation. You should have two loops in your program.

Note: Do not write the functions declaration inside the loop.

e$.$ You should use the same functions and variables names. You should pass the same arguments to the functions.