
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 15 coins, among which there is an even (unknown to us) number of counterfeit coins. All genuine coins weigh the same, and all counterfeit coins also weigh the same but are lighter than the genuine ones. Is it possible to find at least one genuine coin in 3 weighings using a balance scale?

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