
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
From the 2010 positive integers 1, 2, …, 2010, what is the maximum number of integers that can be selected such that the sum of any three selected integers is divisible by 33?

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