
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
Assume that two individuals, A and B, participate in a mathematics test simultaneously. The test contains 10 multiple-choice questions, each with four options. A correct answer earns 3 points, while an incorrect or unanswered question receives 0 points. Both A and B answered all questions, and they only have different answers for 2 questions. If the sum of A and B's final scores is 54 points, what is the set of all possible scores that B could have achieved?

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