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

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What type of tree ensures values are sorted in a specific order upon insertion?

AVL Tree

Binary Tree

Binary Search Tree

The correct answer is a Binary Search Tree. This type of tree maintains a specific ordering property that enables efficient searching, inserting, and deleting of values. In a Binary Search Tree, for each node, all the values in the left subtree are less than the node's value, and all the values in the right subtree are greater. This property ensures that as values are inserted into the tree, they are placed in their correct position to preserve the sorted order.

The self-balancing characteristics of AVL Trees and Red-Black Trees help maintain this sorted order while also keeping the tree balanced, thus optimizing search times. However, they introduce additional complexity to maintain balance post-insertion, whereas the fundamental property of the Binary Search Tree focuses directly on sorted order without necessitating balancing. While a Binary Tree can hold values in any arrangement, it does not require or guarantee that these values follow any specific order.

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Red-Black Tree

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