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What is binary search and how does it work?

An example of an AI chatbot conversation about binary search algorithm and its efficiency.

😀
You

Can you explain what binary search is?

MagicBuddy
MagicBuddy

Sure! Binary search is an efficient algorithm for finding an item from a sorted list of items. It works by repeatedly dividing the search interval in half.

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You

How does it differ from linear search?

MagicBuddy
MagicBuddy

Unlike linear search, which checks each element one by one, binary search eliminates half of the remaining elements with each step, making it much faster for large datasets.

😀
You

What are the time complexities of binary search?

MagicBuddy
MagicBuddy

The time complexity of binary search is O(log n), where n is the number of elements in the list. This is significantly better than the O(n) time complexity of linear search.

😀
You

Can you give me an example of how binary search works?

MagicBuddy
MagicBuddy

Absolutely! If you have a sorted array like [1, 3, 5, 7, 9] and you want to find 5, binary search would check the middle element (5) and find it immediately.

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