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THIS PROGRAM MUST BE WRITTEN IN RACKET PROGRAMMING LANGUAGE Write a recursive function listLength that counts the number of items in a list.You may not

THIS PROGRAM MUST BE WRITTEN IN RACKET PROGRAMMING LANGUAGE Write a recursive function listLength that counts the number of items in a list.You may not use the racket function length. Write a recursive function deepListLength that return the number of atoms (things that are not lists) in a list.

Examples:

(listLength '(1 2 3 4)) returns 4

(listLength '(1 (2 3) (4 (5 6)))) returns 3

(deepListLength '(1 2 3 4)) returns 4

(deepListLength '(1 (2 3) (4 (5 6)))) returns 6

functions are not required to be tail recursive

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