
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
The characters for "Kyoto Grand Hotel" on the billboard are neon lights, which light up one after another (and stay lit) until all are lit up and then the cycle repeats. When a passerby glances at it, the probability of seeing it fully lit is ____.

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