Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
Expert Solution & Answer
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Chapter 21, Problem 4AW

Explanation of Solution

Binary search tree:

  • Binary search tree is a tree in which the nodes are sorted in the semantic order and it has the shape of binary tree.
  • Nodes in the binary search tree can have zero, one, or two children.
  • In a binary search tree, any node value is greater than the left sub tree and lesser than the right sub tree.
    • Node without children is called a leaf or end node.
    • A node that does not have a superior node is called a root node.
    • Root node is the starting node.
  • The binary search will be performed until finding a search node or reaching the end of the tree.

Algorithm to count the number of leaf in a binary tree:

Step 1: Define a function named “leafCount” with the parameter “btree”.

Step 2: Check if “btree” is equal to null. If it is true, then return 0.

Step 3: Check if “btree.left” is equal to null and “btree.right” is equal to null. If this condition is true, then return 1.

Step 4: If both the condition fails, then return the summation of count of left tree and right tree by calling the function “leafCount ()” recursively...

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Write a method isBST() that takes a Node as argument and returns true if the argument node is the root of a binary search tree, false otherwise.Hint : This task is also more difficult than it might seem, because the order in which youcall the methods in the previous three exercises is important.Write a method isBST() that takes a Node as argument and returns true if the argument node is the root of a binary search tree, false otherwise.Hint : This task is also more difficult than it might seem, because the order in which youcall the methods in the previous three exercises is important.
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Write a method that takes any two nodes u and v in a tree T whose root node is s, and quickly determines if the node u in the tree is a descendant or ancestor of node v.
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