
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
A clockmaker has inserted two identical hands into a clock, making it impossible to distinguish the hour hand from the minute hand. What will be the maximum error in determining the time that the clock owner might face?

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