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Worst case runtime of any comparison

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Reference no: EM133218767

Question 1.

Given the array {9,20,14,17,85,3,21,6,4,10} determine the number of comparisons used by:

• Bubble Sort

• Insertion Sort

• Selection Sort

• Merge Sort

• Quick Sort

• Heap Sort

Question 2.

Prove that the worst case runtime of any comparison-based sorting algorithm is Ω(n lg n). (This means that the worst case runtime of any comparison-based sorting algorithm cannot be made better than n lg n.

Question 3.

Suppose you have a list of n integers where each integer is guaranteed to be between 1 and 100, inclusive. Devise an algorithm to sort this list in O(n) time.

Reference no: EM133218767

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