Implement the following sorting algorithms to find the total number of element comparisons for the given input (n). For each case, randomly generate the input items in the range [0-100]. Compare the practical results with the theoretical average time complexity. How much Quicksort is faster than Selection, Bubble, Insertion, and Mergesort? Note that all algorithms should use the same input random values. Plot the results in a graph where the input size (i.e. n) is in the x-axis and the total number of element comparisons is in the y-axis. n Selection Bubble Insertion Mergesort Quicksort 100           500           1000           1500           2000           3000           4000           5000

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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.