Write a procedure to reverse a linked stack implemented as a doubly linked list, with the original top and bottom positions of the stack reversed as bottom and top, respectively. For example, a linked stack S and its reversed version Srev are shown as follows:

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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: