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What is the time complexity of the quicksort algorithm in the worst case?

Question

What is the time complexity of the quicksort algorithm in the worst case?

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Solution

The worst-case time complexity of the quicksort algorithm is O(n^2). This occurs when the pivot element picked is either the greatest or the smallest, or in simple terms, the most or least ideal pivot. This causes the partition to be very unbalanced, resulting in a time complexity of O(n^2). However, this worst-case scenario does not occur often if the pivot is chosen wisely (for example, using the median of the array as the pivot).

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