
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 10 children, 5 boys and 5 girls, imagining playing the following game: First, let 4 children (not all boys) stand at 4 equidistant positions on a circle. If two adjacent children are of the same gender, then a boy is placed between them; otherwise, a girl is placed between them. Then, the original 4 children temporarily exit, which counts as one activity. This activity continues according to the above rules until the 4 children standing on the circle are all boys. The maximum number of times this activity can be performed is ___.

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