Write a function in Python for Parts 1-3. Then, use those functions to complete Part 4.

Part 1:

A palindrome is a number which reads the same forward and backwards. To illustrate: 10101,131,1331,1225221,2 are examples of palindromes. 122,100,19 are examples of numbers which are not palindromes.

Write a function that given a number determines if the number is a palindrome or not. Your function should take in a number and return yes or no depending if its a palindrome or not.

Part 2:

Write a function that given a number determines if the number is near prime. To understand what is near prime let us first understand what a prime number is. A number is prime is it is only divisible by 1 and itself. 2,5,13,23 are examples of prime numbers. 4,22,100,60 are examples of numbers which are not prime numbers. Consider a number such as 49. It is not a prime number because it is divisible by 7. However, it is not divisible by anything else apart from 1, 7 and 49. We call a number near prime if it is divisible by 1, itself and at most 2 other numbers. To illustrate: 49 is near prime as only 1,7 and 49 divide it. 22 is near prime as only 1,2,11,22 divide it. 4 is near prime as only 1,2,4 divide it. 60 is not near prime as 1,2,3,5,6,10,12,20,30,60 divide it. 17 is near prime as only 1,17 divide it 20 is not near prime as 1,2,4,5,10,20 divide it.

Write a function which determines if a number is near prime or not. Your function should take in a number and return yes or no depending if its a near prime or not.

Part 3:

We call a number an up number if the digits of the number increase (or stay the same) as we read the number. To illustrate: 123 is an up number. 2577 is an up number. 598 is not an up number.

Similarly, in a down number the digits of the number decrease (or stay the same). To illustrate 321 is a down number. 775 is a down number. 123 is not a down number.

Finally combining the two we define an updown number. In an updown number the digits initially increase (or stay the same) and then they decrease (or stay the same). Once they have started to decrease they can not increase again. To illustrate 123431 is an updown number. 4577852 is an updown number. 123758 is not an updown number (because it the digits increased and then decreased but then increased again). 4789089 is not an updown number.

We consider a number nice if its either an up, a down or an updown number.

Write a function which given a number determines if it is a nice number. Your function should take in a number and return yes if it is an up, a down or an updown number. Your function should return no otherwise. That is to say if the number is nice it should return yes and no otherwise.

Part 4:

You will be given a list of numbers. Each number is assigned a score. Its score is determined as follows:

A numbers base score is the value of the number itself. If the number is a palindrome it scores is doubled. If the number is a near prime its score is doubled. If the number is a nice number its score is tripled.

Consider how to determine the score of a number 89. It is not a palindrome and but it is nice and near prime: Base score: 89 Score after palindrome check: 89 (remains same as not a palindrome) Score after near prime check: 188 (doubled as 89 is prime) Score after nice check: 534 (tripled as 89 is nice) Consider the number 101: It is a palindrome, it is prime but it is not a nice number: Base score: 101 Score after palindrome check: 202 (doubled as its a palindrome) Score after near prime check: 404 (doubled as 101 a prime) Score after nice check: 404 (not tripled as 101 is not nice).

Given a list of numbers entered by the user, output the list of numbers in sorted order (ascending) of their scores. Also include the score achieved with each number separated by a comma after the number.

For example if the user enters 89 101 You have to output 101,404 89, 534