
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 are to sign up for three courses A, B, and C, with each student only signing up for one course and each course having at least one student participating. Calculate the number of different ways the students can sign up for the courses.

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