How does binary search work in different data structures?

How does binary search work in different data structures?

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. In different data structures, its implementation can vary.

Can you explain how binary search is implemented in arrays?

In arrays, binary search starts with two pointers, one at the beginning and one at the end. It calculates the middle index and compares the middle element with the target value. If they match, the search is complete. If the target is less, it continues in the left half; if greater, in the right half.

What about binary search in linked lists?

Binary search is not efficient in linked lists because they do not allow random access. You would need to traverse the list to find the middle element, which makes it O(n) instead of O(log n). It's better to use binary search with data structures that allow direct access.

Are there any other data structures where binary search is applicable?

Yes, binary search can also be applied in balanced trees like AVL trees or Red-Black trees, where it can efficiently find elements while maintaining the tree's properties.