
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
Suppose 1800 adults and 200 children board a train. Half of the adults are men, and the other half are women. Among the adults, 25% of the women and 12% of the men are wearing hats. Additionally, 10% of the children are wearing hats. How many people in total are wearing hats?

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