Western Governors University (WGU) ICSC2100 C949 Data Structures and Algorithms I Practice Exam

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What defines a complete binary tree?

All levels except possibly the last are fully filled.

A complete binary tree is specifically defined by the structure where all levels of the tree, except possibly the last one, are completely filled, and the nodes in the last level are filled from left to right. This definition ensures that the tree remains as balanced as possible while maintaining the properties of a binary tree.

By focusing on this structure, a complete binary tree optimizes various operations such as those performed in binary heaps, where the ordering of elements is crucial. It also guarantees efficient storage and retrieval, making it ideal for applications like heap-based data management.

While other properties may pertain to binary trees in general or to specific types of binary trees, they do not fulfill the definition of a complete binary tree as precisely as this one. Thus, the correctness hinges on the requirement that all levels should be fully populated except potentially the last one, which must be filled from left to right.

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Every node has zero or two children.

All nodes are filled from left to right.

No levels are completely filled.

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