How does high level chess work? Do they really just think like 10 moves ahead?

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How does a game of chess work between two top level players? Do they have to think like 25 moves ahead to find any sort of opening against the opponent?

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It depends massively on the position. The more available “good” moves and “good responses” exponentially increases the amount of thinking required to think one more move ahead. So in very simple or very forcing(few responses that work) positions high lvl chess players can easily think 10+ moves ahead. But in more complex positions they maybe look 3-5 moves ahead, but spend more time evaluating how good each position is.

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