Which of the following trees are heap trees? Explain
Homework Answers
Given a binary tree, we need to check it has heap property or not, Binary tree need to fulfill the following two conditions for being a heap:-
- It should be a complete tree (i.e. all levels except last should be full).
- Every node’s value should be greater than or equal to its child node.(in case of MAX Heap)
By observing two trees given in question, they satrisfies above two points. Hence both trees are heap trees and follows MAX heap ordering...
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Which of the following trees are heap trees? Explain
3. Which of the following trees are...
[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...
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...
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...
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50,...
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50, 76, 21, 4, 32, 64, 15, 52, 14, 100, 2, 3, 70, 87, 80 in the BST [Show the steps]. Write the algorithm for all the 3 operations of BST ii) Insert the given items 16, 14, 10, 8, 7, 9, 3, 2, 4, l into the Min- Heap. [Show the steps]. Write the pseudocode for Insertion of items using the Min- Heap
JAVA (Heap operations) A. Add a node with value 3 to the following min heap. Show...
JAVA
(Heap operations) A. Add a node with value 3 to the following
min heap. Show the upheap swap process needed to restore the
heap-order property. You will need at least three diagrams.
B. Remove the root node from the following heap. You will need
to downheap swap to restore the heap-order property. Use diagrams
to show the state of the heap at each step. You will need at least
three diagrams.
1. Given the two binary trees below: 14 16 Write a method called swapSubtrees, which swaps all of...
in java ..write all complete program from a- e
1. Given the two binary trees below: 14 16 Write a method called swapSubtrees, which swaps all of the left and right subtrees in the above binary trees. Add this method to the class BinaryTree and create a program to test this method for these 2 trees. Show the original trees and the resulting trees. Note: To test your algorithm, first create a binary search tree. Write a method called singleParent,...
B trees java NAME CSC 236 HW #3 (B-trees & heaps) 1. Given a B-tree of...
B trees java
NAME CSC 236 HW #3 (B-trees & heaps) 1. Given a B-tree of order 5, add the elements 1, 12, 8, 2, 25, 5, 14, 28, 17, 7, 52, 16, 48, 68, 3, 26, 29, 53, 55, 45 into a B-tree in this order. Draw the diagrams to show the B-tree after each element is added. 2. Add the elements 27, 35, 23, 22, 4, 45, 21, 5, 42, 19 into a heap in this order Draw...
3. (20 points) Solve the following three problems on labeled trees 8) (3 Figure 3: The...
3. (20 points) Solve the following three problems on labeled trees 8) (3 Figure 3: The trees Th. T. Ti for Problem 3 (a). (a) (8 points) Find the Prüfer Code associated to the three trees depicted in Figure The trees are denoted by Ti, Ta and T; from left to right. (b) (8 points) Draw the labeled trees associated to the following three Prifer codes (e) (4 points) How many labeled trees are there with 7 nodes?
1. In a heap, the upper bound on the number of leaves is: (A) O(n) (B)...
1. In a heap, the upper bound on the number of leaves is: (A) O(n) (B) O(1) (C) O(logn) (D) O(nlogn) 2. In a heap, the distance from the root to the furthest leaf is: (A) θ(nlogn) (B) θ(logn) (C) θ(1) (D) θ(n) 3. In a heap, let df be the distance of the furthest leaf from the root and let dc be the analogous distance of the closest leaf. What is df − dc, at most? (A) 1 (C)...
Balanced Trees Identify the correctness of each of the following statements by marking either a T...
Balanced Trees
Identify the correctness of each of the following statements by marking either a T for true of F for false 1. (1 point)A balanced tree is exclusively defined as one in which the height of each sub-tree (or child) differs by no more than one (1). 2. (1 point)In a red-black tree, after rotating three nodes, the two children will each be red. 3. (1 point) One will only ever need to perform one rotation or color-flip in...
[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...
4. i) Give the difference between binary trees and Binary search trees. Insert the values 50, 76, 21, 4, 32, 64, 15, 52, 14, 100, 2, 3, 70, 87, 80 in the BST [Show the steps]. Write the algorithm for all the 3 operations of BST ii) Insert the given items 16, 14, 10, 8, 7, 9, 3, 2, 4, l into the Min- Heap. [Show the steps]. Write the pseudocode for Insertion of items using the Min- Heap
JAVA
(Heap operations) A. Add a node with value 3 to the following
min heap. Show the upheap swap process needed to restore the
heap-order property. You will need at least three diagrams.
B. Remove the root node from the following heap. You will need
to downheap swap to restore the heap-order property. Use diagrams
to show the state of the heap at each step. You will need at least
three diagrams.
in java ..write all complete program from a- e
1. Given the two binary trees below: 14 16 Write a method called swapSubtrees, which swaps all of the left and right subtrees in the above binary trees. Add this method to the class BinaryTree and create a program to test this method for these 2 trees. Show the original trees and the resulting trees. Note: To test your algorithm, first create a binary search tree. Write a method called singleParent,...
B trees java
NAME CSC 236 HW #3 (B-trees & heaps) 1. Given a B-tree of order 5, add the elements 1, 12, 8, 2, 25, 5, 14, 28, 17, 7, 52, 16, 48, 68, 3, 26, 29, 53, 55, 45 into a B-tree in this order. Draw the diagrams to show the B-tree after each element is added. 2. Add the elements 27, 35, 23, 22, 4, 45, 21, 5, 42, 19 into a heap in this order Draw...
3. (20 points) Solve the following three problems on labeled trees 8) (3 Figure 3: The trees Th. T. Ti for Problem 3 (a). (a) (8 points) Find the Prüfer Code associated to the three trees depicted in Figure The trees are denoted by Ti, Ta and T; from left to right. (b) (8 points) Draw the labeled trees associated to the following three Prifer codes (e) (4 points) How many labeled trees are there with 7 nodes?
Balanced Trees
Identify the correctness of each of the following statements by marking either a T for true of F for false 1. (1 point)A balanced tree is exclusively defined as one in which the height of each sub-tree (or child) differs by no more than one (1). 2. (1 point)In a red-black tree, after rotating three nodes, the two children will each be red. 3. (1 point) One will only ever need to perform one rotation or color-flip in...
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