<|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
 Along a straight alley, there are 100 lampposts placed at equal intervals, numbered sequentially from 1 to 100. At the same moment, Petya and Vasya start walking towards each other from opposite ends of the alley at different constant speeds (Petya starts at the first lamppost and Vasya starts at the hundredth lamppost). When Petya reaches the 22nd lamppost, Vasya is at the 88th lamppost. At which lamppost will they meet? If the meeting occurs between two lampposts, indicate the smaller of the two lamppost numbers in the answer. 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
64
Along a straight alley, there are 100 lampposts placed at equal intervals, numbered sequentially from 1 to 100. At the same moment, Petya and Vasya start walking towards each other from opposite ends of the alley at different constant speeds (Petya starts at the first lamppost and Vasya starts at the hundredth lamppost). When Petya reaches the 22nd lamppost, Vasya is at the 88th lamppost. At which lamppost will they meet? If the meeting occurs between two lampposts, indicate the smaller of the two lamppost numbers in the answer.
test