
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
Bronze coins of 1, 2, 3, and 5 copecks respectively weigh 1, 2, 3, and 5 grams. Among the four bronze coins (one of each denomination), one is counterfeit and differs in weight from the genuine ones. How can you determine the counterfeit coin using two weighings on a balance scale without weights?

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