
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 is a light bulb and 10 numbered buttons. It is known that exactly 5 of them are working. In one attempt, you are allowed to press any three buttons simultaneously. If at least one of them is working, the light bulb turns on. How can you determine if button number 1 is working using no more than 9 attempts? (The light bulb always turns off when the pressed buttons are released after each attempt.)

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