
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
There are 8 children, each wearing either a red hat or a blue hat. If a child sees 3 or more children wearing red hats, they will take a red balloon; otherwise, they will take a blue balloon. If, as a result, some children take red balloons and others take blue balloons, how many children are wearing red hats in total?

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