
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
Alice and Bob start new jobs with varying work and rest day schedules. Alice works for 4 days followed by 2 rest days, and Bob works for 5 days followed by 1 rest day. Determine how many times in their first 1000 days do both have rest-days on the same day.
A) 160
B) 165
C) 166
D) 167
E) 170

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