
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
In Class 8a, there are 33 students. At the beginning of the school year, two clubs were organized in the class. According to school rules, a club can be formed if at least 70% of all the students in the class sign up for it. What is the minimum number of students that could have signed up for both clubs simultaneously?

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