
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
In how many ways can 10 people be seated in a row if three of the people, John, Wilma, and Paul, refuse to sit in three consecutive seats and another three people, Anna, Bob, and Cindy, also refuse to sit in three consecutive seats?

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