
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 to 999), each printed on a card with one number per card. Some of these numbers, when viewed upside down, still form a valid three-digit number, such as 198 which becomes 861 (since 1 remains 1 when flipped upside down). Others do not, like 531. Therefore, some cards can be used in both orientations. At most, how many fewer cards need to be printed?

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