
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, D, and E are five students who obtained the top 5 positions (no ties) in a math competition. When taking a photo, they stood in a line and each of them made the following statement:

A said: The two students next to me have rankings lower than mine;
B said: The two students next to me have rankings adjacent to mine;
C said: All students to my right (at least one) have higher rankings than mine;
D said: All students to my left (at least one) have lower rankings than mine;
E said: I am standing in second from the right.

Given that all their statements are true, determine the five-digit number $\overline{\mathrm{ABCDE}}$.

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