<|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
 During the "May Day" period this year, a park held a free admission event for one day. At 6:30 AM, 2 people entered the park. In the first 30 minutes, 4 people entered and 1 person left. In the second 30 minutes, 8 people entered and 2 people left. In the third 30 minutes, 16 people entered and 3 people left. In the fourth 30 minutes, 32 people entered and 4 people left, and so on, following this pattern. How many people were in the park at 11:00 AM? 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
2001
During the "May Day" period this year, a park held a free admission event for one day. At 6:30 AM, 2 people entered the park. In the first 30 minutes, 4 people entered and 1 person left. In the second 30 minutes, 8 people entered and 2 people left. In the third 30 minutes, 16 people entered and 3 people left. In the fourth 30 minutes, 32 people entered and 4 people left, and so on, following this pattern. How many people were in the park at 11:00 AM?
test