
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
Given there are initially 2010 students and they follow the rule of counting off in groups of 3, determine the number of rounds after which the number of students will be no more than 397 for the first time.

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