Homework Answers
Max heap can be used for sorting elements in ascending order. A max heap is a complete binary tree such that each internal node has value greater than or equal to their child nodes.
Heap sort for ascending order works by deleting the root node each time and restoring the heap based on the property we just explained. Once the heap is restored, the process of deleting repeats iteratively and the elements are stored in reverse order to display the sort in ascending order else the elements can be linearly stored to sort the elements in descending order.
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2. If you are using HeapSort to put elements in ascending order, what kind of heap...
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...
Sorting: (40 points) a. We studied several sorting algorithms. Every sorting algorithm has their own special...
Sorting: (40 points) a. We studied several sorting algorithms. Every sorting algorithm has their own special reason where it can only use. Can you explain carefully in which situation the following algorithms would be best sorting algorithm to use in an application. (10 points) i. Insertion sort ii. Selection sort iii. Merge sort iv. Quick sort b. You are given a string of elements as below, Canopus, Mimosa, Betelgeuse, Deneb, Stars, Pollux, Antares, Sirius, Hader i. Your task is to...
a. We studied several sorting algorithms. Every sorting algorithm has their own special reason where it...
a. We studied several sorting algorithms. Every sorting algorithm has their own special reason where it can only use. Can you explain carefully in which situation the following algorithms would be best sorting algorithm to use in an application. (10 points) i. Insertion sort ii. Selection sort iii. Merge sort iv. Quick sort b. You are given a string of elements as below, Canopus, Mimosa, Betelgeuse, Deneb, Stars, Pollux, Antares, Sirius, Hader i. Your task is to insert the above...
1. Which of the following is a proper array representation a binary min heap?
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...
PROGRAM DESCRIPTION Using the given class definitions for either C++, create a minimum heap that stores...
PROGRAM DESCRIPTION Using the given class definitions for either C++, create a minimum heap that stores integers and and implements a minimum priority queue. (Your program can be "hard coded" for integers - it does not need to use templates, generics, or polymorphism.) Your data structure must always store its internal data as a heap. Your toString function should return a string with the heap values as a comma separated list, also including the size of the heap as well....
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...
Data Structures using C BuildHeap and Heap Sort In preparation: If you have not done so...
Data Structures using C
BuildHeap and Heap Sort In preparation: If you have not done so already, you should complete Worksheet 33 to leam more about the heap data structure. In some applications it is useful to void buildHeap (struct dyArray heap) { initialize a Heap with an existing vector int max = dy Array Size(heap); int i; of values. The values are not assumed for (i = max/2-1; i >= 0; i--) to be organized into a heap, and...
Min heap class implementation in Python. Implement a min-using an array. Your min-heap class will have...
Min heap class implementation in Python.
Implement a min-using an array. Your min-heap class will have one private attribute, an array of integers. Implement the following methods for the min-heap class You may not use the built-in min function. init - Constructor makes an empty heap str - Prints the heap out in any way you want for debugging only) makenull(self) - Makes the heap empty insert(self,x) - Insert element x into the heap parent(self,i) - Returns the index of...
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A (7,3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array. 3. What is the worst case for quick sort? What is...
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A (7,3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array. 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps. 4. Gi pseudocode for an algorithm that will solve the following...
Subject: Algorithm need this urgent please. 2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A 17, 3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array 3. What...
Subject: Algorithm
need this urgent please.
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A 17, 3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps.
2.1 Searching and Sorting-...
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...
Sorting: (40 points) a. We studied several sorting algorithms. Every sorting algorithm has their own special reason where it can only use. Can you explain carefully in which situation the following algorithms would be best sorting algorithm to use in an application. (10 points) i. Insertion sort ii. Selection sort iii. Merge sort iv. Quick sort b. You are given a string of elements as below, Canopus, Mimosa, Betelgeuse, Deneb, Stars, Pollux, Antares, Sirius, Hader i. Your task is to...
a. We studied several sorting algorithms. Every sorting algorithm has their own special reason where it can only use. Can you explain carefully in which situation the following algorithms would be best sorting algorithm to use in an application. (10 points) i. Insertion sort ii. Selection sort iii. Merge sort iv. Quick sort b. You are given a string of elements as below, Canopus, Mimosa, Betelgeuse, Deneb, Stars, Pollux, Antares, Sirius, Hader i. Your task is to insert the above...
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...
Data Structures using C
BuildHeap and Heap Sort In preparation: If you have not done so already, you should complete Worksheet 33 to leam more about the heap data structure. In some applications it is useful to void buildHeap (struct dyArray heap) { initialize a Heap with an existing vector int max = dy Array Size(heap); int i; of values. The values are not assumed for (i = max/2-1; i >= 0; i--) to be organized into a heap, and...
Min heap class implementation in Python.
Implement a min-using an array. Your min-heap class will have one private attribute, an array of integers. Implement the following methods for the min-heap class You may not use the built-in min function. init - Constructor makes an empty heap str - Prints the heap out in any way you want for debugging only) makenull(self) - Makes the heap empty insert(self,x) - Insert element x into the heap parent(self,i) - Returns the index of...
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A (7,3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array. 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps. 4. Gi pseudocode for an algorithm that will solve the following...
Subject: Algorithm
need this urgent please.
2.1 Searching and Sorting- 5 points each 1. Run Heapsort on the following array: A 17, 3, 9, 4, 2,5, 6, 1,8) 2. Run merge sort on the same array 3. What is the worst case for quick sort? What is the worst case time com- plexity for quick sort and why? Explain what modifications we can make to quick sort to make it run faster, and why this helps.
2.1 Searching and Sorting-...
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