a) Create a class Homework (in a file Homework.java) b) Create a static method initializeArray that receives as a parameter an array of integers. Use a for loop and an if statement to put 5s in the odd positions of the array and 0s in the even positions. c) Create a static method printArray that receives as a parameter an array of integers. Use a for statements to print all the elements in the array. d) Create a static method selectionSort that receives as a parameter an array of integers and order its element in descending order. Implement Selection Sort algorithm. It should be Selection Sort, not Bubble Sort, not Quick Sort, etc. If you do not remember selection sort, this link could be useful: https://goo.gl/hrAdMo e) Create a static recursive method that calculate and returns the factorial a number. The method receives the number (integer number) as parameter f) Copy the following main method in your class, public static void main (String [] arg) { int [] a = {3, 5, 6, 8, 12, 13, 16, 17, 18, 20}; int [] b = {18, 16, 19, 3 ,14, 6}; int [] c = {5, 2, 4, 3, 1}; // testing initializeArray printArray(a); // print: 3, 5, 6, 8, 12, 13, 16, 17, 18, 20 initializeArray(a); printArray(a); // print: 0, 5, 0, 5, 0, 5, 0, 5, 0, 5 // testing initializeArray printArray(b); // print: 18, 16, 19, 3 ,14, 6 selectionSort (b); printArray(b); // print: 19, 18, 16, 14, 6, 3 // testing factorial System.out.println (factorial (5)); //print: 120 c[0] = factorial (c[0]); c[1] = factorial (c[2]); printArray(c); // print: 120, 24, 4, 3, 1 }