
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 in total $(100,101, \cdots, 999)$. These three-digit numbers are printed on cards, one number per card. Some numbers, when reversed, still form a three-digit number (for example, 198 reversed is 861), while others do not form a valid three-digit number when reversed (for example, 531 reversed is invalid). Therefore, some cards can be used for two different numbers, reducing the number of cards needed. What is the minimum possible reduction in the number of cards needed?

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