
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
Al and Barb start their new jobs on the same day. Al's schedule is 4 work-days followed by 2 rest-days. Barb's schedule is 6 work-days followed by 4 rest-days. Determine the number of days out of the first 1000 days when both Al and Barb have rest-days on the same day.

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