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What does the word heap really mean? "It takes time of the form O(nlogn) to do a heap operation." - Give a good example to show what the statement means.

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What does the word heap really mean? "It takes time of the form O(nlogn) to do a heap operation." - Give a good example to show what the statement means.

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There is an algorithm for making the heap complete:1. Remove the node at the root.2. Move the node in the last position to the root.3. Trickle the last node down until it is below.When this algorithm is applied continually, the data is removed from the heap in sorted order. Write the code for the Remove and TrickleDown methods in c#.
(In java) In this task, a binomial heap should be implemented. A binomial heap is implemented byan array with its elements being binomial trees: on the first place there is the binomial treeB0 with one element, on the second place there is the binomial tree B1 with two elements,on the third place there is the binomial tree B2 with four elements,. . . Each binomial treeis implemented recursively using the class BinomialNode. In this class there is nothing toimplement. Methods in this class are needed for the implementation of the methods in theclass BinomialHeap. More precisely, in the class BinomialHeap you should implement thefollowing methods:-> delMin, which deletes the minimal key from the binomial heap. The method returnstrue, if the minimal key is successfully deleted and false otherwise (if the binomialheap is empty).-> resizeArray, which extends the array. The method is needed, for example, whenyou find out that you need an extra place in your array when inserting new…
What is the difference between stack and heap memory? Correct choice: A. Heap memory is allocated manually by the user and is 'long-lived'. You must manually allocate it, whereas memory on the stack will be reclaimed when the memory is out of scope from where it was initialized. B. Stack memory is allocated manually by the user and is 'long-lived'. You must manually allocate it, whereas memory on the heap will be reclaimed when the memory is out of scope from where it was initialized.
(In java) In this task, a binomial heap should be implemented. A binomial heap is implemented byan array with its elements being binomial trees: on the first place there is the binomial treeB0 with one element, on the second place there is the binomial tree B1 with two elements,on the third place there is the binomial tree B2 with four elements,. . . Each binomial treeis implemented recursively using the class BinomialNode. In this class there is nothing toimplement. Methods in this class are needed for the implementation of the methods in theclass BinomialHeap. More precisely, in the class BinomialHeap you should implement thefollowing methods:-> delMin, which deletes the minimal key from the binomial heap. The method returnstrue, if the minimal key is successfully deleted and false otherwise (if the binomialheap is empty).-> resizeArray, which extends the array. The method is needed, for example, whenyou find out that you need an extra place in your array when inserting new…
2.) C [10] = {5, 1,2,8,6,10,3,9,4,7} heap size = 10 Do Heapify (C, 1). What the values in the array C starting from the index 0 to 9?
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