Question: (a) Define concisely what a binary max-heap is (recall the special shape, and the special relation between the values (keys) of the nodes). Give an

(a) Define concisely what a binary max-heap is (recall the special shape, and the special relation between the values (keys) of the nodes). Give an example of a binary max-heap with 7 vertices, and an example of a binary tree which is not a binary max-heap (state reasons why it is not a binary max-heap). [8 marks]

(b) Explain the informal argument that QUICK-SORT has run-time O(nlog n) on average, including an outline of the algorithm and how the Master The- orem could be applied.

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