
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
Two individuals, A and B, participate in a mathematics test simultaneously. The test consists of $10$ multiple-choice questions, each with $4$ options. Correct answers are awarded $3$ points, while incorrect or unanswered questions receive $0$ points. Both A and B answered all the questions, and upon comparison, they only differed in their choice for one question. If A's final score is $27$ points, what is the set of all possible scores B could have received?

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