
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 $(100, 101, \cdots, 999)$. If these numbers are printed on cards, with ten three-digit numbers on each card, some cards will have numbers that, when viewed upside down, are still three-digit numbers (e.g., viewing 198 upside down results in 861, where 1 upside down is still 1). However, some cards will not have this property (e.g., viewing 531 upside down). Thus, some cards can be used in both orientations. Determine the maximum number of cards that can be saved by using this property.

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