
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 three-digit number ranges from 100 to 999, and there are 900 such numbers in total. These three-digit numbers are printed on cards, each card having one three-digit number printed on it. Some cards have numbers that, when reversed, still form valid three-digit numbers (e.g., 198 becomes 861, where 1 is still considered as 1 when reversed). However, some cards do not have this property (e.g., 531 does not form a valid number when reversed since it doesn't follow typical number patterns). Thus, some cards can potentially serve a dual purpose. What is the maximum number of cards that can be saved from printing?

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