
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
Suppose there are a ways for 4 students to sign up for 3 extracurricular activities scheduled at the same time, and there are b possible outcomes for these 4 students to compete for the championship in 100 meters, long jump, and shot put at the sports meeting. Determine the ordered pair (a, b).

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