
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 three-digit numbers are printed on cards, with each card printing one three-digit number, some cards can be printed such that the number remains a three-digit number even when viewed upside down. For example, 198 upside down is still a valid three-digit number. Determine the maximum number of cards that can be saved by using such numbers.

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