
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, A, B, C, D, and E, participated in a labor and technical competition, and the rankings from first to fifth were determined. When A and B went to inquire about the results, the respondent told A, "Unfortunately, you did not win the championship"; and told B, "You are certainly not the worst." Based on the responses, there are $\boxed{78}$ different possible arrangements for the rankings of the five people.

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