Java: Implementing the remove(u) Method for a Meldable Heap Implement the remove(u) method in Java, which removes the node u from a MeldableHeap. This method should run in O(log n) expected time. First, add the nodes (with values ranging from 1 to 15) to the Meldable Heap without using a scanner. Then, demonstrate that the remove(x) method effectively removes the specified node by printing the number of nodes remaining in the heap and the value of the node being removed. Please provide comments in the program to enhance understanding of its functionality.

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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: