
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 garden activity and opened for free for one day. At 6:30 a.m., 2 people entered the park. In the first 30 minutes, 4 people entered and 1 left, in the second 30 minutes, 8 people entered and 2 left, in the third 30 minutes, 16 people entered and 3 left, and in the fourth 30 minutes, 32 people entered and 4 left, and so on according to this pattern. Calculate the total number of people in the park at 11 a.m.

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