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I was reading: What's the time complexity of Monte Carlo Tree Search?

Where it says:

The runtime of the algorithm can be simply be computed as O(mkI/C) where m and k are the same as before, and I is the number of iterations and C is the number of cores available.

According to this definition let's suppose we had a game with a branching factor of b then made some changes to that game so the new branching factor is 5b. How does this affect the run time complexity of MCTS?

From what I see if we run in same environment this doesn't change the run time (as the equation doesn't include b - branching factor) but that doesn't make sense to me...

Algo
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