What is the space complexity of different searching algorithms?

What is the space complexity of different searching algorithms?

The space complexity varies among searching algorithms. For example, linear search has O(1) space complexity, while binary search has O(1) as well, but requires a sorted array.

Can you explain why binary search has O(1) space complexity?

Binary search operates on a sorted array and only requires a few variables to keep track of indices, hence its O(1) space complexity.

What about depth-first search (DFS) and breadth-first search (BFS)? How do they compare?

DFS has a space complexity of O(h), where h is the height of the tree, while BFS has O(w), where w is the maximum width of the tree.

Are there any searching algorithms with higher space complexity?

Yes, algorithms like A* search can have higher space complexity, often O(b^d), where b is the branching factor and d is the depth of the solution.