Question 99  Define set S recursively as follows: Base Case: 8∈S Recursion: if a∈S and b∈S then a∗b∈S Prove using structural induction that any element in S can be written as 8^n for some n≥1.  Full explain this question and text typing work only thanks

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Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types: