
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 $\textit{palindrome}$ is a number that reads the same forward as backward, as in 313 or 1001. Considering a 12-hour clock with the format 'hh:mm' and ignoring the colon, how many different palindromes are possible if the clock displays only the hours and minutes, with the additional condition that the hour must be displayed with two digits (e.g., 09:10 instead of 9:10)?

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