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
某校举办数学文化节，据统计当天共有 980 多（不少于 980，小于 990）名同学进校参观，每位同学进校参观一段时间后离开（之后不会再进来）. 若无论这些同学以怎样的时间安排参观，我们都能找到 k 位同学，使得要么这 k 位同学在某个时间都在校园内参观，要么任何时间他们中都没有两个人同时在校园内参观. 求 k 的最大值.
user
32
rule
某校举办数学文化节，据统计当天共有 980 多（不少于 980，小于 990）名同学进校参观，每位同学进校参观一段时间后离开（之后不会再进来）. 若无论这些同学以怎样的时间安排参观，我们都能找到 k 位同学，使得要么这 k 位同学在某个时间都在校园内参观，要么任何时间他们中都没有两个人同时在校园内参观. 求 k 的最大值.
train