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We have discussed the Quick Sort algorithm in class. In this assignment, you will implement this algorithm in the class SortableArrayListWithQuickSort that extends the abstract SortableArrayList. In particular, you need to do the following: Implement the private method partition(a, lowIndex,highIndex), that partitions the sub-array a[lowIndex]…a[highIndex] around a pivot value. This method should return the index of the pivot value. To make this a bit easier, you may choose the value initially at a[lowIndex] as your pivot. You may use either the partition algorithm discussed in class or the slightly different one in the textbook. In either case, you will need to insure that the indexes i and j satisfy lowIndex i, j highIndex. (This makes the implementation a bit more subtle than the pseudo-code in the slides and textbook.) Implement the method sortSubArray(a, lowIndex, highIndex) using your partition method and the quick sort algorithm. You may use the driver for SortableArrayLists to test your algorithm.
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