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Spring2009C343Final Name: Username: Question1: Howmanynodescantherebein: a)Aleftcompletebinarytreeofheighth? b)Aperfectbinarytreeofheighth?(Inaperfecttree,allnodeshave0or2children,andallleavesare
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How to fill out a left complete binary tree of height h - homes soic?
01
Start by understanding the concept of a left complete binary tree and its properties. A left complete binary tree is a binary tree in which each node has either 0 or 2 children, and all the leaves are on the left side.
02
Determine the height of the tree, denoted by 'h'. This represents the number of levels or layers in the tree. The height determines the number of nodes in the tree.
03
Begin by creating the root node of the tree. This node serves as the starting point for constructing the entire tree. Set its value according to the given requirement of "homes soic".
04
Determine the maximum number of nodes that can be present in a left complete binary tree of height 'h'. This can be calculated as 2^(h+1) - 1. For example, if the height is 3, then the maximum number of nodes would be 2^(3+1) - 1 = 15.
05
Start with the root node and fill the tree level by level from left to right. Begin with the first level (level 0). If the height 'h' is greater than 0, set the values of the two children nodes of the root. Then move to the next level and repeat the process for each node on that level until reaching the last level (level h).
06
Allocate the values for the nodes according to the requirement "homes soic" or any specific instruction given. This could involve assigning specific values, following a pattern, or fulfilling any other conditions specified.
07
Continue filling the tree until all the nodes have been assigned values. Ensure that all the conditions of a left complete binary tree are met, such as having 0 or 2 children for each node and the leaves being on the left side.
Who needs a left complete binary tree of height h - homes soic?
01
Software developers working on tree-related algorithms or data structures may need a left complete binary tree of a specific height for their implementation.
02
Researchers studying binary trees or conducting experiments related to their properties may require generating specific instances of left complete binary trees with different heights.
03
Computer science students learning about binary trees and their variations may be tasked with creating a left complete binary tree of a given height as a part of their coursework or assignments.
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