
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
Two couples each brought a child to play in the park. After buying tickets, they queued up to enter the park one by one. For safety reasons, two fathers must be at the beginning and end of the queue. Additionally, the two children must be together in the queue. The number of possible arrangements for the entry order of these six people is ______.

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