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QUESTION 16 Show the first pass of sorting the following array-based binary tree max-heap. In other...
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 1...
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...
[12] 3. a) Draw the binary min-heap after inserting the following values, one after another. 21,...
[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...
Heaps: Show by hand the Insertion of the following into a Max Binary Heap (aka, a...
Heaps: Show by hand the Insertion of the following into a Max Binary Heap (aka, a Max Heap): 150, 166, 75, 20, 175, 111, 80, 95, 90, 25, 50, 92, 200, 5, 6. Show any steps that involve swapping nodes. Theory here Show the heap you generated in (a) in array form. Array here How could you use a heap to help you efficiently merge many (n> 2) sorted arrays into one sorted array? Theory here
1.(10 pts) Contrast a heap with a binary search tree by inserting the numbers 60, 30,...
1.(10 pts) Contrast a heap with a binary search tree by inserting the numbers 60, 30, 40, 50, 20, 10 first in a BST and then in a min-heap. Draw the resulting BST on the left and the heap on the right. You may draw any valid BST or Heap that contain the provided values 2. (5 pts) In section 11.1, the book mentions that heaps are **complete** binary trees, what does that mean? Demonstrate by drawing an example of...
(c) Draw the binary heap structure that is equivalent to the following list (the root is...
(c) Draw the binary heap structure that is equivalent to the following list (the root is first element). [5, 9, 8, 12, 15, 11, 19, 14, 20, 18, 17, 13] [4 marks] (d) Show the resulting tree after the value 6 is added to the heap in the part (c). Note that the binary heap properties must be restored after insertion. Show your working; you may show the data structure in tree or array form. [3 marks]
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw...
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw the trees that result from the following operations: (a) Inserting 142, 400, 205, 127, 100, 320, 160, 141, and 110 into an initially-empty tree (in that order). (b) Deleting 142 from the tree you drew for part (a). 4. (8 points) Draw the unique binary tree that has a preorder traversal of 4, 1, 6, 3, 7, 5, 9, 2, 8 and an inorder...
Question 3. a. Draw the binary min heap represented by the following array: (5 points) 1...
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...
5. A three-heap with n elements can be stored in an array A, where A[O] contains...
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...
Discrete Mathematics Time Complexity Analysis Due: May 9th, 2019 Math 4 6026 Heap Sort Another algorithm for sorting uses a specialized tree structure called a "heap." Specifically, we wi...
Discrete Mathematics
Time Complexity Analysis Due: May 9th, 2019 Math 4 6026 Heap Sort Another algorithm for sorting uses a specialized tree structure called a "heap." Specifically, we will use a binary heap, which is like a binary tree with hierarchy. Here is an example of a binary heap structure 1. 2. There is a top vertex, called the parent vertex (aka node). The top parent vertex connects to two vertices a level below. These vertices are the "left child"...
Using C++, data structures, C++ STL, inputs and expected outputs are shown below. Max Heap Heap...
Using C++, data structures, C++ STL, inputs and expected
outputs are shown below.
Max Heap Heap is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the value) of P is either > (in a max heap) or s (in a min heap) the key of C. The node at the "top" of the heap (with no parents) is called the root node. In binary-tree based heap, it...
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...
[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...
(c) Draw the binary heap structure that is equivalent to the following list (the root is first element). [5, 9, 8, 12, 15, 11, 19, 14, 20, 18, 17, 13] [4 marks] (d) Show the resulting tree after the value 6 is added to the heap in the part (c). Note that the binary heap properties must be restored after insertion. Show your working; you may show the data structure in tree or array form. [3 marks]
3. (8 points) Using the implementation of binary search tree operations we discussed in class, draw the trees that result from the following operations: (a) Inserting 142, 400, 205, 127, 100, 320, 160, 141, and 110 into an initially-empty tree (in that order). (b) Deleting 142 from the tree you drew for part (a). 4. (8 points) Draw the unique binary tree that has a preorder traversal of 4, 1, 6, 3, 7, 5, 9, 2, 8 and an inorder...
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...
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...
Discrete Mathematics
Time Complexity Analysis Due: May 9th, 2019 Math 4 6026 Heap Sort Another algorithm for sorting uses a specialized tree structure called a "heap." Specifically, we will use a binary heap, which is like a binary tree with hierarchy. Here is an example of a binary heap structure 1. 2. There is a top vertex, called the parent vertex (aka node). The top parent vertex connects to two vertices a level below. These vertices are the "left child"...
Using C++, data structures, C++ STL, inputs and expected
outputs are shown below.
Max Heap Heap is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the value) of P is either > (in a max heap) or s (in a min heap) the key of C. The node at the "top" of the heap (with no parents) is called the root node. In binary-tree based heap, it...
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