
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
A certain project takes 24 days for person A to complete alone, 36 days for person B to complete alone, and 60 days for person C to complete alone. Given that all three teams worked for an exact integer number of days and completed the task within 18 days (including 18 days), how many days did person A work at the minimum?

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