QuestionMay 1, 2025

If you need to implement a data structure that stores unique keys and allows for efficient insertions/deletions and enumeration(traversal) in a sorted order, which would you choose? Partially filled array Linked list Binary Search Tree Hash Table

If you need to implement a data structure that stores unique keys and allows for efficient insertions/deletions and enumeration(traversal) in a sorted order, which would you choose? Partially filled array Linked list Binary Search Tree Hash Table
If you need to implement a data structure that stores unique keys and allows for efficient insertions/deletions and enumeration(traversal) in a sorted order, which would you choose? Partially filled array Linked list Binary Search Tree Hash Table

Solution
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Answer

Binary Search Tree Explanation 1. Analyze the requirements The data structure must store unique keys, support efficient insertions/deletions, and allow traversal in sorted order. 2. Evaluate options - **Partially filled array**: Inefficient for insertions/deletions and does not guarantee sorted order. - **Linked list**: Inefficient for maintaining sorted order and traversal. - **Binary Search Tree (BST)**: Efficient for insertions/deletions (O(\log n) for balanced BSTs) and supports in-order traversal for sorted order. - **Hash Table**: Does not maintain sorted order.

Explanation

1. Analyze the requirements<br /> The data structure must store unique keys, support efficient insertions/deletions, and allow traversal in sorted order.<br /><br />2. Evaluate options<br /> - **Partially filled array**: Inefficient for insertions/deletions and does not guarantee sorted order.<br /> - **Linked list**: Inefficient for maintaining sorted order and traversal.<br /> - **Binary Search Tree (BST)**: Efficient for insertions/deletions ($O(\log n)$ for balanced BSTs) and supports in-order traversal for sorted order.<br /> - **Hash Table**: Does not maintain sorted order.
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