
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
Five boys and four girls are to sit on chairs numbered from the first to the ninth, with boys sitting on chairs with odd numbers and girls on chairs with even numbers. In how many ways can this be done?

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