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Recently, the discovery of a new data structure WONDER HEAP was announced.

A WONDER HEAP has the same functionality and worst case behaviour as a binary heap except for DELETE MAX, which is implemented in O(log log n) (instead of O(log n) for binary heaps)

a. Give 4 algorithms/data structures from CSC 505 which could be improved by WONDER HEAP.

b. Do you believe in the existence of WONDER HEAPS? Justify your answer.

c. Give a one-sentence definition of i) worst-case running time, ii) tractable problems, iii) the Subset Sum Problem.

Computer Engineering, Engineering

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