Consider the following max-heap stored as an array: <7, 6, 4, 2, 5, 1, 3>. Draw this max-heap as an (undirected) binary tree and give both adjacency-list representation and adjacency-matrix representation of the binary tree
Consider the following max-heap stored as an array: <7, 6, 4, 2, 5, 1, 3>. Draw...
1. Which of the following is a proper array representation a binary min heap?2. A heap is implemented using an array. At what index will the right child of node at index i be found? Note, the Oth position of the array is not used.Select one:a. i/2b. 2 i+1c. i-1d. 2 i3. Consider the following array of length 6. Elements from the array are added, in the given order, to a max heap. The heap is initially empty and stored as an array.A={18,5,37,44,27,53}What...
5. A three-heap with n elements can be stored in an array A, where A[O] contains the root of the tree. a) Draw the three-heap that results from inserting 5, 2, 8, 3, 6, 4, 9, 7, 1 in that order into an initially empty three-heap. You do not need to show the array representation of the heap. You are only required to show the final tree, although if you draw intermediate trees. b) Assuming that elements are placed in...
NOTE: Completing the Third Chart is the most important. This is one question with three parts. (4 pts) Is the following array-based tree a min-heap or a max-heap or not a heap at all? 85 91 S8 95 100 92 a. Min-heap b. Max-heap c. Not a heap 5 pts) Turn the following array-based binary tree into a max-heap. Show your work step by step. (You will not need all the columns) 34 7 12 47 19 5 pts) Show...
5. Heap, 5pts] The following elements are inserted into an empty Max-Heap in the fol- la-FHea lowing order: 2, 3. 1, 4, 6. 12, 15, 22, 11, 5 Draw the resulting heap (use the logical (tree) representation)
[12] 3. a) Draw the binary min-heap after inserting the following values, one after another. 21, 13, 12, 25, 4, 20, 16, 1, 11 You must show each step of building the heap and eventually the final tree. Please, put your final tree inside a box so that it can be easily understood among other intermediate trees. b) A 4-ary max heap is like a binary max heap, but instead of 2 children, nodes have 4 children. A 4-ary heap...
Question 3. a. Draw the binary min heap represented by the following array: (5 points) 1 2 4 6 7 Value 4 9 12 29 17 14 16 b. Show the result of calling deleteMin twice on the heap you drew in part (a). Show the heap after each deleteMin, and circle the final heap. (5 points) c. Starting with the heap you ended up with in part (b), insert values 11 & 2 in that order. Draw the heap...
Data structures Exercises: For the following binary tree (Index-Value): 0 1 2 3 4 5 6 7 8 9 A C E G B P D X F H Give the pre-order traversal. Give the post-order traversal. Give the in-order traversal. Determine the height of the tree. Using these values: 8 6 4 3 5 9 2 1 6 Build a binary search tree. Build an AVL Tree. Build a 2-3 Tree. Build a min-heap. Build a max-heap. Apply a...
QUESTION 16 Show the first pass of sorting the following array-based binary tree max-heap. In other words, show the first step in sorting, then re-heap the remaining tree into a max-heap. For answers that are not used, put null. You may use scratch paper to draw the trees if you wish. (You will not need all the columns)
1. In Lab 4, you developed a program to build a Max Heap, and then Heap Sort. Update the program by adding two additional functions: (a) AddData(A, N, V) where V is the new value added. (b) Delete a data Delete by giving the index of the data position Make sure to display the array after calling each of the function. 2. Write a program to implement Binary Search Algorithm, which will return the index of the data searched (V)....
braw the binary min heap that results from inserting 8, 7, 3, 2, 4, 6, 9, 5, 1 in that order into an initially empty binary min hea p. Show final tree and the array representation of the heap. No need to show the intermediate work. 0 5 6 8 10 12 9. Consi der the binary heap shown below. What would the heap look like after deleteMin operation is performed? Show your work. 13 28 44 61 60 68...