
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
Louisa begins her sightseeing tour of the city when the clock hands form a straight line (180 degrees apart) sometime between 10 a.m. and 11 a.m. and completes her tour when the clock hands are aligned exactly on top of each other between 4 p.m. and 5 p.m. Given the clock's angular motion, determine the duration of her sightseeing tour.

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