Questions
CMPSC 132 Spring 2025 Recitation #7
Multiple dropdown selections
What type of binary tree is this? [ Select ] Full Binary Tree, Complete Tree Binary Search Tree (BST) In which order will the nodes be visited in a preorder traversal of the tree? 50, 30, 20, 10, 40, 70, 60, 80 In which order will the nodes be visited in an inorder traversal of the tree? [ Select ] 10, 20, 30, 40, 50, 60, 70, 80 80, 70, 60, 50, 40, 30, 20, 10 50, 30, 20, 10, 40, 70, 60, 80 In which order will the nodes be visited in a postorder traversal of the tree? [ Select ] 10, 20, 40, 30, 60, 80, 70, 50 50, 30, 20, 10, 40, 70, 60, 80 80, 70, 60, 50, 40, 30, 20, 10
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Step-by-Step Analysis
First, we need to consider each dropdown independently and explain the reasoning for every option before identifying which one is correct.
Dropdown 1: Type of binary tree
- Option: Binary Search Tree (BST). A BST is defined by the property that for any node, all nodes in its left subtree are smaller and all nodes in its right subtree are larger. When we test this against the given node values and typical BST insertions, the sequence of values 50, 30, 20, 10, 40, 70, 60, 80 is consistent with a BST insertion order where 50 is the root, 30 is left child, 20 left of 30, 10 left of 20, 40 right of 30, 70 right of 50, 60 left of 70, and 80 right of 70. This follows the BST property, making BST a valid class......Login to view full explanationLog in for full answers
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