
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 hour and minute hands coincide at midnight, marking the beginning of a new day. At what time on this new day will the hour and minute hands coincide again for the first time, assuming the clock hands move continuously?

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