Question: How do I state the recurrence relation for the number of comparisons executed by stoogesort (pseudo code shown below)? For part a, I have seen

How do I state the recurrence relation for the number of comparisons executed by stoogesort (pseudo code shown below)? For part a, I have seen multiple different answers...... T(n) = 3T(3n/2) + (1) T(n) = 2T(2n/3) + T(n/3) + O(1) T(n) = 3T(2n/3) + (1) . Which one is it, and WHY?? Please explain part a and b in detail. Thank you!!

How do I state the recurrence relation for the number of comparisons

Consider the following pseudocode for a sorting algorithm. StoogeSort(A[O...n - 1]) if (n = 2) and (A[O] > A[1]) swap A[0] and A[1] else if (n > 2) - ceiling(2n/3) m = StoogeSort(AO m-1]) StoogeSort(A[n - m.. n-1]) StoogeSort(A[O m-1]) (a) State a recurrence for the number of comparisons executed by stooge sort. (b) Solve the recurrence to determine the asymptotic running time. Show your work

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