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Question 1 (25 pts):Assume the following list of keys:49, 4, 89, 25, 67, 46, 83, 30, 60, 22, 12This list is to be sorted using the quick sort algorithm a

June 15, 2025

Question 1 (25 pts):Assume the following list of keys:49, 4, 89, 25, 67, 46, 83, 30, 60, 22, 12This list is to be sorted using the quick sort algorithm as discussed in this chapter. Use pivot as the middleelement of the list, and fill in the blank squares below.pivotpivot pivotpivot pivot pivot pivotpivot pivotpivot pivot49, 4, 89, 25, 67, 46, 83, 30, 60, 22, 12Question 2 (25 pts):Assume the following list of keys:32, 47, 3, 28, 92, 7, 87, 37, 22, 43, 40, 74, 13, 35, 51This list is to be sorted using the merge sort algorithm as discussed in this chapter. Fill in the blank squaresbelow.32, 47, 3, 28, 92, 7, 87, 37, 22, 43, 40, 74, 13, 35, 51Question 3 (25 pts):Assume the following list:32, 47, 3, 28, 92, 7, 87, 37, 22, 43, 40, 74, 13, 35, 51, 14, 26, 5(a) Using the function buildHeap as given in this chapter, convert the list into a heap.(b) Show the resulting list after three passes of heapsort. (Use the heapify procedure as given in this chapter.)One pass:Two passes:Three passes

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