
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
Tom is planning a small gathering for two other couples, his wife, and himself. He plans to seat the three couples including himself and his wife at a circular table for 6, and wants no two men to be seated next to each other. How many different seating arrangements can he make, if rotations of the seating arrangement are not considered different, but reflections are different?

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