<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 There are 12 stores in town that had a total of 45 visitors on a particular day. However, only 22 people went shopping that day; some people visited more than one store. If 14 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
10
There are 12 stores in town that had a total of 45 visitors on a particular day. However, only 22 people went shopping that day; some people visited more than one store. If 14 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
test