Given a max-heap H with n elements and a value x, write the pseudocode of most efficient possible algorithm that prints all keys in H that are greater than x (i.e., use the command print). The max-heap H should remain intact. Please indicate the worst-case running time of your algorithm and justify your answer. (Note: A procedure that always traverses the whole heap, regardless of the value of x and the elements in the heap, is considered an inefficient algorithm.)

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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: