
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
Ignoring the colon, how many different palindromes are possible on a 24-hour digital clock displaying only the hours and minutes? A $\textit{palindrome}$ is a number which reads the same forward as backward, for example, 0101 or 1221. Note that zero may be inserted before the hour if necessary in 24-hour format (e.g., 00:01 is not a valid palindrome, but 00:00 is).

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