
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
Mathematics and literature have many wonderful connections, such as palindrome poems in literature, like "客醉花间花醉客" which can be read forwards and backwards. In mathematics, there are palindrome numbers, such as $343$, $12521$, etc. There are $9$ palindrome numbers for two-digit numbers, like $11$, $22$, $33$, $\ldots$, $99$. Then, the number of odd palindrome numbers for three-digit numbers is ____.

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