
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
A, B, and C participate in a quick response intelligence activity. The rules are as follows: the first question is posed by B, and A and C compete to answer. In the subsequent quick response process, if A answers a question correctly, they can pose 6 questions; if B answers correctly, they can pose 5 questions; if C answers correctly, they can pose 4 questions for the other two to answer. After the quick response session ends, there are a total of 16 questions that no one answered correctly. The number of questions A, B, and C answered correctly are respectively.

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