
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
Out of 11 balls, 2 are radioactive. For any set of balls, a single check can determine whether there is at least one radioactive ball in the set (but it cannot determine how many there are). Is it possible to find both radioactive balls with 7 checks?


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