
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 two hands of a clock are identical, and we do not know which one indicates the hours and which one indicates the minutes. Are there any clock positions where it is still possible to clearly determine the time? How can we characterize the hand positions that cannot occur?

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