
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
Five students, named A, B, C, D, and E, participated in a certain technical competition related to labor. They were ranked from first to fifth place, with no ties. Students A and B went to inquire about the results. The person responding said to A, "Unfortunately, neither you nor B won the championship." To B, the same person said, "Of course, you are not the worst." Based on these responses, analyze how many possible rankings there could be for these five students.

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