A function f defined on stack of integer satisfies the following properties f(empty) = 0 and f (push (S, i)) = max (f(s), 0) + i for all stacks S and integer i. After pushing integers 2, -3, 2, -1, 2 in order from bottom to top. f(s) returns the top of the stack. What is f(s)?

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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: