
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 50 students in a class with the following information known: 
1. There are 33 male students;
2. There are 7 female members of the Youth League;
3. There are 9 female boarding students;
4. There are 15 non-boarding members of the Youth League;
5. There are 6 male boarding members of the Youth League;
6. There are 8 male students who are non-members of the Youth League and non-boarding;
7. There are 3 female students who are non-members of the Youth League and non-boarding.
Based on the above information, determine the total number of boarding students in the class.

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