
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
"Palindrome" is a rhetorical device that exists in ancient and modern times both at home and abroad, such as "I am for everyone, everyone is for me," etc. In mathematics, a class of numbers with this characteristic is called "palindrome numbers." A "palindrome number" refers to a positive integer that reads the same from left to right and from right to left, such as $121$, $241142$, etc. Among all five-digit positive integers, the number of "palindrome numbers" with exactly two odd digits is ______. (Provide your answer in digits)

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