
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
Given 6 specific times: 6:30, 6:31, 6:32, 6:33, 6:34, 6:35. During which of these times are the hour hand and the minute hand closest to each other, and during which of these times are the hour hand and the minute hand farthest from each other?

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