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
Grandpa was pulling a turnip, and sequentially he was joined by Grandma, Granddaughter, Zhuchka (the dog), and the cat. They pull and pull, but they cannot pull it out! The cat called the mouse. They pull and pull, and they finally pulled the turnip out! It is known that each subsequent participant pulls one-quarter less strongly than the previous one. How many men from the village, each pulling with the same strength as Grandpa, should be invited so that, together with Grandpa and the cat, they can pull out the turnip?
user
2
rule
Grandpa was pulling a turnip, and sequentially he was joined by Grandma, Granddaughter, Zhuchka (the dog), and the cat. They pull and pull, but they cannot pull it out! The cat called the mouse. They pull and pull, and they finally pulled the turnip out! It is known that each subsequent participant pulls one-quarter less strongly than the previous one. How many men from the village, each pulling with the same strength as Grandpa, should be invited so that, together with Grandpa and the cat, they can pull out the turnip?
train