Implement a stack S using two queues Q1 and Q2 so that operations PUSH (S, X) and POP(S, Y), where S is supposedly a stack and X is the element to be inserted into S and Y the element deleted from S, are worked upon by the queues that operate together as a stack. Assume that the ADT operations of ENQUEUE, DEQUEUE and EMPTYQUEUE are only available for the queues. Demonstrate the working of your method on a list {a, b, c}, which is to be operated upon as a stack by the queues Q1 and Q2.

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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: