
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
The number of students in a certain class is greater than 20 and less than 30. The number of female students is twice the number of male students. The number of students who signed up for the "Hua Cup" competition is 1 less than three times the number of students who did not sign up. How many students are there in the class?

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