Function Description Generate the code for a recursive function: furthest(n: int, lst: list)--> int The function returns the difference between the target value n and the element in the list that is furthest in value from the target n. (ie. return the distance on a number line between the target and the list element that is furthest away.) The code should work for any list of integers with a length greater than or equal to 1. See sample test results below: Function Call: Returns: 17 print (furthest (5, [1, 3, 6, 9, 22])) print (furthest (12, [15, 9, 16, 3, 1])) print (furthest (5, [-5, 36, 12, 27, 6, -14, 19, 27, 34])) print (furthest (5, [15, 61, 21, 12, 4, -25, 5, -55, 51])) print (furthest (-10, [-5, -61, -21, -17, 16])) 11 31 60 51 Explanation: In the first example, 17 is the difference between target 5 and the value in the list that is furthest away, 22. Restrictions: • The built-in min (), max() and sorted (() functions may not be used. • The list sort() method may not by used. • The result must be determined recursively.

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