
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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?

Present the answer in LaTex format: \boxed{Your answer}
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