
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
Seven people are sitting at a round table. Seat number one must be occupied by a female, and seat number two by a male. Let $f \geq 0$ be the number of people sitting next to at least one female, and $m \geq 0$ be the number of people sitting next to at least one male. Determine the number of possible ordered pairs $(f, m)$.

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