
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 150 seats in a row. What is the fewest number of seats that must be occupied so the next person to be seated must sit next to someone while ensuring that the pattern can alternate between sections of four and three empty seats respectively?

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