
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
A school with 862 students will participate in a tournament, with the following rules:

I) The number of participants must be between $\frac{2}{3}$ and $\frac{7}{9}$ of the total number of students in the school.

II) As the students will be divided into groups of 11, the number of participants must be a multiple of 11.

What are the possible numbers of participants for this school?

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