
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
There are a set of tickets numbered from 1 to 30 (numbers may repeat). Each student drew one ticket. The teacher can perform the following operation: read out a list of several (possibly just one) numbers and ask their holders to raise their hands. How many times does the teacher need to perform this operation to find out the number of each student? (There may be fewer than 30 students.)

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