BST vs Hash Map Trade-offs for Ordered Data in DSA Typescript - Key Differences

Recall & Review

beginner

What is a key advantage of a Binary Search Tree (BST) over a Hash Map when working with ordered data?

A BST maintains elements in sorted order, allowing efficient in-order traversal to access data in ascending or descending order.

intermediate

Why might a Hash Map be less suitable than a BST for range queries?

Hash Maps do not maintain any order, so range queries require checking all elements, making them inefficient compared to BSTs which can quickly find ranges.

beginner

What is the average time complexity for search operations in a balanced BST and in a Hash Map?

Balanced BST: O(log n) average time; Hash Map: O(1) average time for search.

intermediate

How does memory usage typically compare between BSTs and Hash Maps?

Hash Maps often use more memory due to storing keys, values, and handling collisions, while BSTs use memory mainly for nodes and pointers.

advanced

What is a major trade-off when choosing a BST over a Hash Map for data storage?

BSTs provide ordered data and efficient range queries but have slower average search times (O(log n)) compared to Hash Maps' O(1) search, which do not maintain order.

Which data structure maintains elements in sorted order by default?

A Binary Search Tree

B Hash Map

C Stack

D Queue

Binary Search Trees keep elements sorted, enabling ordered traversal.

What is the average time complexity of searching in a Hash Map?

A O(n)

B O(1)

C O(log n)

D O(n log n)

Hash Maps provide average O(1) time for search due to direct key access.

Which data structure is better for efficient range queries?

A Binary Search Tree

B Hash Map

C Array

D Linked List

BSTs maintain order, allowing efficient range queries via traversal.

What is a downside of using a Hash Map compared to a BST?

A Supports range queries efficiently

B Slower search time

C Uses less memory

D No ordering of elements

Hash Maps do not keep elements ordered, making ordered operations inefficient.

Which data structure typically uses more memory due to collision handling?

A Binary Search Tree

B Stack

C Hash Map

D Queue

Hash Maps use extra memory for buckets and collision resolution.

Explain the main trade-offs between using a Binary Search Tree and a Hash Map for storing ordered data.

Think about order, search speed, and query types.

Describe scenarios where a Binary Search Tree is preferred over a Hash Map.

Consider operations that depend on data order.