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Which of the following is the worst case for a Quick sort?AWhen the array is already sorted in ascending order.BWhen the array is not sorted at all.CBoth the cases qualifies for the worst case.DNone of the above.

Question

Which of the following is the worst case for a Quick sort?AWhen the array is already sorted in ascending order.BWhen the array is not sorted at all.CBoth the cases qualifies for the worst case.DNone of the above.

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Solution

The worst case for Quick sort is when the array is already sorted in ascending order. This is because Quick sort works by selecting a 'pivot' element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot. The pivot selection and partitioning steps are done in linear time. The sub-arrays are then recursively sorted.

In the worst case scenario, the pivot ends up being the smallest or largest element, causing an unbalanced partition. As a result, the algorithm has to do a lot of unnecessary work, leading to a time complexity of O(n^2). This is what happens when the array is already sorted in ascending order.

So, the correct answer is A: When the array is already sorted in ascending order.

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