
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
Given that there are 64 light bulbs on a signal panel, each controlled by one of 64 buttons, you need to determine which button controls which light bulb. During each operation, you can press any set of buttons and record the on/off state of each light bulb. What is the minimum number of operations required to identify the controller button for each light bulb?

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