EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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3. In a B*-tree, there can be at most 4 search-key values in each node. Assume that the height of the
B*-tree is 2. The height of the tree is the length of the path from the root to a leaf node.
a) What is the maximum number of leaf nodes this tree can have?
Answer:
b) Let N1 be a node in the tree. N1 is neither a leaf nor the root. What is the minimum number
of children that N1 can have?
Answer:
Question 2
Given a Huffman code as a binary tree, show that you can decode in O(n) time.
. In a B+-tree, there can be at most 4 search-key values in each node. Assume that the height of the B+-tree is 2. The height of the tree is the length of the path from the root to a leaf node.
Let N1 be a node in the tree. N1 is neither a leaf nor the root. What is the minimum number of children that N1 can have?
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EBK DATA STRUCTURES AND ALGORITHMS IN C
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- Given a string of digit characters including totally 21 digit characters (7 different character symbols). a) Determine and draw the Huffman Tree, based on different character symbols of the string "318159865358979383886" above, and their frequencies of occurrence as their weights. No steps required. b) List the prefix codes of different character symbols, based on this Huffman Tree. c) Find the weighted path length (WPL) of the prefix codes and its average bit length (ABL), with 3 decimal places. Show the steps of your calculation.arrow_forwardDraw the spanning tree using either Prims or Kruskals algorithms. You must showthe steps.arrow_forwardBased on Theorem 4.4.2 P.165, the average height of a leaf in a binary tree with 128 leaves is at leastarrow_forward
- Given two binary trees with head reference as T and S having at most N nodes. The task is to check if S is present as subtree in T.A subtree of a tree T1 is a tree T2 consisting of a node in T1 and all of its descendants in T1 You don't need to read input or print anything. Your task is to complete the function isSubtree() that takes root node of S and T as parameters and returns 1 if S is a subtree of T else 0. Expected Time Complexity: O(N).Expected Auxiliary Space: O(N). Constraints:1 <= Number of nodes <= 1051 <= Value of nodes <= 104arrow_forwardConstruct a Binary Search Tree (BST) using the data provided in shaded row and name it “BST-1”. 50 45 65 60 75 90 15 35 70 45 55 40 20 80 95 85 25 50 74 5 Provide answers to the following considering your constructed BST-1: Write a C++ code that finds and delete a node having exactly two Childs in a BST. Simulate your code on BST-1 and provide a step-by-step procedure to delete “15” and “75” from it.arrow_forwardYour colleague proposed a different definition of a binary search tree: it is such binary tree with keys in the nodes that for each node the key of its left child (if exists) is bigger than its key, and the key of its right child (if exists) is less than its key. Is this a good definition for a binary search tree? A. Yes B. Noarrow_forward
- Need help in building a binary expression tree. It gas to echo print each arithmetic infix expression and print its corresponding prefix expression. Also, after the binary expression tree is built, have to print the expression in prefix notation. Thank you!arrow_forwardWhat is need for finding minimum spanning tree?arrow_forwardI am to write a function that receives the root of a binary tree t and a number k and determine if the node where k is stored is the left child of its parent. if k is not in the tree, or does not have a parent, or is a right child the function should return false. Starting code: def is_left_child(t,k): parent, x = t.find(k, return_parent = True) return Falsearrow_forward
- Draw a binary expression tree. (2a + 5b) ^ 3 * (x - 7y) ^ 4arrow_forwardApply your knowledge of reverse BST to write a program to implement reverse binary search treearrow_forwardCreate a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follow: //PICTURE// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Also Count the height of the tree. PLEASE USE C LANGUAGEarrow_forward
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