Why is Quicksort better than radix sort?

Despite its space-saving nature, Quicksort's performance can degrade in certain scenarios. If a situation arises where its efficiency is compromised, it will still complete the sorting task, albeit slower than its optimal speed, by a fixed multiplicative factor.

Quicksort, a widely-adopted sorting algorithm, is renowned for its space-efficiency. Its ability to conserve memory during sorting operations is a significant advantage, particularly when dealing with large datasets.

In contrast, Radix sort boasts a different efficiency metric, expressed as O(c.n), where 'c' represents the highest number of digits present in the input key set, and 'n' denotes the total number of keys. This formula underscores Radix sort's dependency on the key's length for its sorting speed.

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For Quicksort, its best-case performance scenario is characterized by a time complexity of O(n log n). This optimal performance is achieved when the partitioning process splits the input array into two equal halves at each step, minimizing the number of recursive calls required to complete the sort.