
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 ranging from 100 to 999. When these numbers are printed on cards, some numbers, like 198, read the same when flipped upside down as 861. However, some numbers, like 531, do not form valid numbers when flipped. Consequently, some cards can be used for two different numbers. What is the maximum number of cards that can be saved by exploiting this property?

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