how do i sort an array in ascending order, but by finding the greatest integer?

Question

public static <T extends Comparable<? super T>> void modifiedSelectionSort(T[] a, int n) {
        for( int index = 0; index < n - 1; index++) {
            int indexOfGreatest = indexofGreatest(a, index, n -1);
            T temp = a[index];
            a[index] = a[indexOfGreatest];
            a[indexOfGreatest] = temp;
        }
    }
private static <T extends Comparable<? super T>> int indexofGreatest(T[] a, int first, int last) {
    T max = a[last];
    int indexOfMax = last;
    for (int index = last; index <= first; index-- ) {
        if (a[index].compareTo(max) > 0) {
                max = a[index];
                indexOfMax = last;
            }
        }
        return indexOfMax;
    }

I want this code to find the greatest integer in the array, put it in the back of the array, then search again and find the second greatest integer and place it in the second to last place and so on

Answer 1

At Line 12 "index" should be ">=" to "first" and not "<=":

 for (int index = last; index >= first; index-- ) {