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What is the complexity of minimax algorithm?ans.Same as of DFSTime – bm and space – bmSame as BFSSpace – bm and time – bm Previous Marked for Review Next

Question

What is the complexity of minimax algorithm?ans.Same as of DFSTime – bm and space – bmSame as BFSSpace – bm and time – bm Previous Marked for Review Next

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Solution

The complexity of the minimax algorithm is typically represented in terms of time and space.

In terms of time complexity, the minimax algorithm is O(b^m), where 'b' is the branching factor (the average number of child nodes for each parent node) and 'm' is the maximum depth of the tree. This is because the algorithm must explore all possible moves to the maximum depth of the game tree, which results in a time complexity that is exponential in the depth of the tree.

In terms of space complexity, the minimax algorithm is also O(b^m), because in the worst case scenario, the algorithm may need to store all nodes at a single depth while it is exploring the game tree. This results in a space complexity that is also exponential in the depth of the tree.

So, the complexity of the minimax algorithm is O(b^m) for both time and space.

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