
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
The harmonic mean of 1, 3, 6, and 12 is calculated by finding the reciprocal of the average of the reciprocals of these numbers. Calculate the harmonic mean.

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