
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
The Johnson family has 5 sons and 4 daughters. In how many ways can they be seated in a row of 9 chairs such that no two boys are next to each other, and the eldest son and the eldest daughter must sit next to each other?

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