What: a java file containing your solution In this lab, you will learn the basics of array manipulation and recursion. Problem: Write a program that given an array A of integers determines: a) Recursively the maximum element in A b) Iteratively the minimum element in A c) Recursively the sum of the elements in A d) Recursively the average (this is a fractional number) of the elements inA e) Recursively the mode of the elements in A, the value that appears the most inA f) Iteratively the median of the elements in A Note: each of the items above should be presented as a separate method. 1/ Describe how you want to solve this problem: write this description as a comment at the top of your java file. The description should be free of typos and grammatically correct. 2/ Put together a Java code that addresses the above problem. Each instruction of your code should be commented to explain what it does and why the whole piece of code is an actual solution to the above