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
甲想了一个 1\sim 50 中的整数. 乙选择一个正整数 m，并问甲"m 是否整除你想的数？"，甲必须如实回答. 乙继续提问，直到确定甲想的数. 问：乙至少需要提问多少次？
user
15
rule
甲想了一个 1\sim 50 中的整数. 乙选择一个正整数 m，并问甲"m 是否整除你想的数？"，甲必须如实回答. 乙继续提问，直到确定甲想的数. 问：乙至少需要提问多少次？
train