
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
Dima saw strange clocks in a museum (see the image). They differ from regular clocks in that their dial has no numbers and it is unclear where the top of the clock is; moreover, the second, minute, and hour hands are all of the same length. What time did the clocks show?

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