
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
After an exam, three students A, B, and C were chatting. A said, "Both of your scores are lower than mine." B said, "My score is definitely higher than C's." C said, "Both of your scores are higher than mine." When the scores were announced, it turned out that the three scores were different and only one of them was wrong. If the three scores are arranged in descending order, A's rank is \_\_\_.

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