
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, C, and D participated in a 100-meter sprint final. Before the race, they made the following predictions:
- A predicted: "If C finishes 4th, then I will finish 2nd."
- B predicted: "If A finishes 2nd, then I will finish 1st."
- C predicted: "The race results for A and B will either both be better than mine, or both worse than mine."
- D predicted: "One of A or B's race results will definitely be better than mine, and the other will be worse."

After the race, they finished in positions 1 to 4 (without ties), and each of their predictions was correct. If A, B, C, and D finished in positions $A, B, C, D$ respectively, what is the four-digit number $\overrightarrow{\mathrm{BBCD}}$?

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