Design a stack MAXSTACK, which functions like an ordinary linked stack supporting the ADT operations of PUSH, POP and EMPTYSTACK, besides GETMAX. GETMAX is an operation that records the maximum element in the stack. Can you design the stack in such a way that GETMAX merely consumes O(1) time complexity

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A: code is given below:

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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: