1. Insert the following elements in the given order to an empty binary (d = 2) max-heap. Draw out the tree representation of the heap after all elements are inserted. Then, store the array representation of the heap in variable output located within the method insertion Result. Elements to insert: [45, 22, 36, 50, 87, 25, 79, 51, 95, 90, 104, 5]
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- A. Consider the three given arrays (a), (b) and (c): 13 22 33 20 25 45 55 25 28 30 31 (a) 10 11 12 23 30 31 75 64 77 51 40 93 62 (b) 2 10 11 13 18 32 21 53 89 97 42 23 60 59 (c) 10 11 i) Which of the following arrays above represents a binary heap? Justify your choice. ii) Draw the heap as a binary tree. iii) Perform insert (29) operation to the heap. Show all your steps and show how the array looks like after the operation is done. iv) Perform removeMin operation on the heap. Show all your steps and show how the array looks like after the operation is done.Alert dont submit AI generated answer. Please explain in brief.Question Give the sequence of the 13 keys in the array that results after inserting the sequence of 3 keys 75 31 40 into the following maximum-oriented binary heap of size 10: 93 82 77 16 59 20 69 11 13 41 Answer Your answer should be a sequence of 13 integers, separated by whitespace.
- Consider the following piece of pseudocode:new DynamicArray dd[1] ← 1d[2] ← 2d[3] ← 3d[2] ← Ød[1] ← ØWhich of the following describes a linked list implementation of this pseudocode?a. Create a new empty linked list, insert a node (with value 1) with next pointer to null, insert a node (with value 2) at the end of list, insert a node (with value 3) at the end of list, remove end node.b. reate a new empty linked list, insert a node (with value 1) with next pointer to null, insert a node (with value 2) at the end of list, insert a node (with value 3) at the end of list, remove middle node, remove first node.c. Create a new empty linked list, insert a node (with value 1) with next pointer to null, insert a node (with value 2) at the beginning of list, insert a node (with value 3) at the end of list, remove end node.12. Find By Value Runtimes What is the worst case runtime for a "find by value" operation for linked lists and for balanced binary search trees? Pick ONE option Linked List: 0(n^2); Balanced BST: O(1) Linked List: 0(n); Balanced BST: O(log(n)) Linked List: O(n^2) ; Balanced BST: O(log(n)) Linked List: 0(n) ; Balanced BST: O(n)You're given an array A[1...7] Heap-Insert(A, 8), what is the resulting A? (9, 7, 6, 4, 1, 5, 3). If you execute Max-