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Problem 4 Consider Following Pseudocode Sorting Algorithm 0 1 Swap 0 Af1 Else N 2 M Fanl B Q43907012

Problem 4. Consider the following pseudocode for a sorting algorithm, for 0 <a<1 and n > 1. badSort (AO…n-1]) if (n=2) and (A[0] > A[1]) swap A[0] and Af1] else if (n > 2) m = fa.nl badSort(A[O…m-1]) badSort(A[n-m…n-1]) badSort(A[O…m-1]) Problem 4.a. (3 points) • Show that the divide and conquer approach of badSort fails to sort the input array if a < 1/2. Problem 4.b. (2 points) • Does badSort work correctly if a = 3/4? If not, why? Explain how you fix it. Problem 4.c. (2 points) . State a recurrence in terms of n and a) for the number of comparisons performed by badSort. Problem 4.d. (2 points) • Let a = 2/3, and solve the recurrence to determine the asymptotic time complexity of badSort. Show transcribed image text Problem 4. Consider the following pseudocode for a sorting algorithm, for 0 A[1]) swap A[0] and Af1] else if (n > 2) m = fa.nl badSort(A[O…m-1]) badSort(A[n-m…n-1]) badSort(A[O…m-1])
Problem 4.a. (3 points) • Show that the divide and conquer approach of badSort fails to sort the input array if a

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Answer to Problem 4. Consider the following pseudocode for a sorting algorithm, for 0 A[1]) swap A[0] and Af1] else if (n > 2) m =…