
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
Consider the three-digit numbers ranging from 100 to 999, which are a total of 900 numbers. These numbers are printed on cards, one per card. Some cards have numbers that, when viewed upside down, still appear as three-digit numbers. For example, 198 viewed upside down appears as $861$ (since $1$ remains as $1$); however, some cards do not have this property, such as 531, which appears as $IES$ when viewed upside down. Therefore, some cards can be used in either orientation, maximally utilizing the number of cards printed. Determine the maximum number of cards that can be printed.

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