a. Modify the partition algorithm for quicksort so that S1 and S2 will never be empty.
b. Another partitioning strategy for quicksort is possible. Let an index low traverse the array segment theArray [ first. .last] fromfirst to last and stop when it encounters the first item that is greater than the pivot item. Similarly, let a second index high traverse the array segment from last to first and stop when it encounters the first item that is smaller than the pivot item. Then swap these two items, increment low, decrement high, and continue until high and low meet somewhere in the middle. Implement this version of quicksort in Java. How can you ensure that the regions S1 and S2 are not empty?
c. There are several variations of this partitioning strategy. What other strategies can you think of? How do they compare to the two that have been given?
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