
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
Reverse the digits of a three-digit number and add the resulting number to the original number. If none of the digits in the sum is even, then this number is called an "odd sum number." How many "odd sum numbers" are there among all three-digit numbers?

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