
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
Three cyclists are riding in the same direction on a circular track with a length of 300 meters. Each cyclist moves at a constant speed, all at different speeds. A photographer can take a successful photo of the cyclists if they all appear within a section of the track that is $d$ meters long. What is the minimum $d$ such that the photographer will definitely be able to take a successful photo sooner or later?

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