
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
There are 7 empty seats and 3 seated people in the first row. The total number of distinct seating arrangements that satisfy the condition that there are empty seats to the left and right of each person.

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