
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 35 groups of students, each group containing 3 students. Among these groups:
- 10 groups have only 1 boy.
- 19 groups have at least 2 boys.
- The number of groups with 3 boys is twice the number of groups with 3 girls.

How many boys are there?

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