
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
The captain assigns 9 or 10 out of 33 team members to be on duty each night. What is the minimum number of days required for each team member to have the same number of duty shifts?

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