
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
There are 25 coins that all look the same, including 3 counterfeit coins and 22 genuine coins. All genuine coins weigh the same, all counterfeit coins weigh the same, and the counterfeit coins are lighter than the genuine ones. With a balance scale that has no weights, how can you weigh them twice to identify 6 genuine coins?

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