1. Given a sequence of numbers = 9 18 16 14 17 6 16 10 3 3 20 5 17 5, if you are going to build heap with 3 percolations, the sequence becomes = 2. Given a random sequence of numbers = 17 14 20 0 9 16 10 14 10 11 2 8, you are asked to build its heap, then perform 3 repetitions of swaps and reheaps. The sequence becomes = 3. Given a heap sequence of numbers = 20 16 18 13 8 16 3 11 5 3 6 14 4, you are asked to swap two end-point numbers and reheap. Repeat 4 times, the sequence becomes = 4. Given a sequence of numbers = 20 20 2 11 3 11 2 8 2 2 4 12, if you are going to percolate down from the 2nd number , the sequence becomes =

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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: