
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
There are 900 three-digit numbers $(100, 101, \ldots, 999)$. These three-digit numbers are printed on cards, with each card showing one three-digit number. Some numbers, when reversed, still form a valid three-digit number (e.g., 198 when reversed becomes 861, where 1 remains as 1). Others do not form valid three-digit numbers when reversed (e.g., 531 when reversed becomes something invalid). Consequently, some cards can be utilized for two different numbers. Determine the maximum number of cards that can be saved.

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