
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
Yura has an unusual clock with several minute hands moving in different directions. Yura calculated that over the course of an hour, the minute hands coincided exactly 54 times. What is the maximum number of minute hands that Yura's clock could have?

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