
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
There is a series of 100 photographs of a magical clock taken during one day (from 0:00 to 24:00). Each photograph is unique, and none of them are taken at 0:00, 6:00, 12:00, 18:00, or 24:00. For each photograph, it is not possible to determine whether the time shown is AM or PM. Therefore, some photographs might correspond to more than one time. How many of the photographs could be undetermined?

(A. A. Tesler)

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