We want to retrieve the second smallest element of an array of n elements. If we sort the array using merge sort or quicksort, that takes (nlgn), and then the retrieval of the element at index 1 takes (1), so overall it takes (nlgn). Can we do better? Explain.

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A: Lets discuss the solution in the next steps

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Merge sort

Merge Sort recursively sorts a given collection of numbers or elements by using the divide and conquer strategy in less time. It is one of the most used algorithms, with the worst-case time complexity of O (n log n). It was invented by John Von Neumann. The algorithm continuously divides an array into sub-arrays until each sub-array consists of a single element. It then merges those sub-arrays to produce a sorted array.