
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
Among five externally identical coins, 3 are genuine and 2 are counterfeit, with the counterfeits weighing the same but it is unknown whether they are heavier or lighter than the genuine coins. How can you find at least one genuine coin with the fewest possible weighings?

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