Write the following ML functions:

Write a function that takes two lists as parameter and deletes from the front of the first list as many elements as there are in the second list. If the first list is shorter than the second list, return nil.

Sample Run:

- dels([2,5,1,8], [4,3]); // there are 2 elements in the second list, so delete 2 elements

// from the first list

val it = [1,8] : int list

- dels([2,5], [4,5,3]); // first list is shorter so return nil

val it = [] : int list

Assuming that an int list contains the digits of an integer, write a function which takes this list as a parameter as well as an integer which is a power of 10. The function should return a list which contains the digits of their product.

Sample Run:

- mult([5,3,2],1000); // multiply 532 by 1000

val it = [5,3,2,0,0,0] : int list

Note: Write only one function for each part, and do not call any other functions