You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
In the relay race from Moscow to Petushki, two teams of 20 people each participated. Each team divided the distance into 20 not necessarily equal segments and assigned them to the participants so that each ran exactly one segment (each participant's speed is constant, but the speeds of different participants may vary). The first participants of both teams started simultaneously, and the baton pass occurs instantaneously. What is the maximum number of overtakes that could occur in such a race? Overtaking at segment boundaries is not considered an overtake.
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In the relay race from Moscow to Petushki, two teams of 20 people each participated. Each team divided the distance into 20 not necessarily equal segments and assigned them to the participants so that each ran exactly one segment (each participant's speed is constant, but the speeds of different participants may vary). The first participants of both teams started simultaneously, and the baton pass occurs instantaneously. What is the maximum number of overtakes that could occur in such a race? Overtaking at segment boundaries is not considered an overtake.
train