
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 people, numbered 1, 2, 3, 4, 5, are to be seated in five seats, also numbered 1, 2, 3, 4, 5. Calculate the number of seating arrangements where at most two people are seated in their corresponding numbered seats.

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