Question: 3. Lower bounds for sorting (a) Draw a decision-tree representing the possibilities when sorting three elements (b) Show the path taken by a sorting algorithm

3. Lower bounds for sorting

(a) Draw a decision-tree representing the possibilities when sorting three elements

(b) Show the path taken by a sorting algorithm in the decision tree when sorting the sequence A = {5,8,1}.

(c) How many leaves does a decision tree to sort four elements have? What is its height?

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