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- USING LANGUAGE C Implement a heap by inserting the following nodes in this order: 11, 5, 13, 3, 7, 6, 77, 1, 4, 222 ▪Print the heap after each insertion. ▪Dequeue each node and print each deleted node. ▪Your final output should be similar to the screen shot in the next slideWe can build a heap by top-down (iterated insertion), or by bottom-up. Given the numbers 10, 9, 12, 13, 14, 8 a. run the bottom-up algorithm to create a heap and show the resulting heap and ALLsteps b. run the top-down algorithm to create heap and show the resulting heap and ALLstepsAssume X = {3,4,6,9,8,7,16,15,20,19} is an array representation of a binary heap can i have help with drawing a binary heap draw a binary heap
- Answer the following briefly. a) Why is a doubly linked list more useful than a singly linked list? b) Explain the steps involved in inserting a new value in a binary heap with the help of a suitable example.Heap (C PROGRAM) Given a maxheap (keeps the largest value at the root), which has 4 functions push(h,v), v<-pop(h), new(h), and b<-isNotEmpty(h), where h is a heap, v is the value pushed/popped on the heap, new creates a new empty heap, isNotEmpty tests the heap, and b is a Boolean. What will the pseudocode below print? new(h); push(h, 10); push(h, 200); push(h, 0); push(h, 999); push(h, 5); while (isNotEmpty(h)) do {print(pop(h),” “);} print(“\n”);What exactly does the term heap mean? "It takes O(nlogn) time to perform a heap operation." - offer an appropriate illustration to explain the statement
- Construct a Binary Heap using the following sequence of numbers as input. It is up to you to decide to construct a Max heap or Min heap. 28 12 17 5 7 22 13 12 4 11 16 Do all of the following. Write a Max_heapify or Min_heapify function, depending on your construction decision Write a Build_heap function using the given series of numbers. Write a Delete_root function to delete a root node from the heap. Write a print function to display the heap. (print all nodes which have the same level in one line)Minimum number of interchange needed to convert the array 89,19,40,14,17,12,10,2,5,7,11,6,9,70, into a heap with the maximum element at the root is A. 0 B. 1 C. 2 D. 3given the word: CONSEQ*U**ENCE a letter means insert and a asterick(*) means remove the minimum a) show the binary heap obtained from the above b) give the sequence of characters returned by the delete min operation c) use heapsort to make a max heap from the obtained result
- Circle the following statement that is false regarding binary heaps.a. Binary heaps are not always complete binary trees.b. Binary heaps can be used for sorting in O(n log n) time.c. Binary heaps can be reheapified after a pop in worst case O(log n) time.Design a data structure that supports the following operations: insert, remove_marimum, and remove_minimum [all in O(log n)]; and find maximum and find minimum [both in 0(1)]. Show your solution by writing pseudocode for those operations. Hint: Use two deferent heaps.Construct a heap with following list of keys:8, 20, 9, 4, 15, lo, 7, 22, 3, 12