Question: Please code in python. Consider the Mergesort and Insertion Sorting Algorithms. Implement these algorithms in Python. Given an input n each code should return the

Please code in python.

Consider the Mergesort and Insertion Sorting Algorithms. Implement these algorithms in Python. Given an input n each code should return the number of comparisons (nc) performed. Run the codes for three dierent cases: a sorted array, a reversed array and a randomly created array. Run the Insert and Mergesort codes for n = 10, 30, 100, 300, 103, 3103, 104, 105. Create two plots using a graphing tool you have used. The rst plot should show the results of Insertion Sort and Mergesort using a loglog scale (on the x-axis log(n), on the y-axis log(nc)). You can verify the theoretical behaviour of Insertion Sort and Mergesort from this plot. The second plot should show the results of Mergesort using log scale on the x-axis only. The y-axis should show the values of nc/n.Again show the curves for random, sorted and reversed inputs that you create as described above. In both plots, explain the shape of the graphs you observe.

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