
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
In a math lesson, each dwarf needs to find a three-digit number such that when 198 is added to it, the resulting number has the same digits but in reverse order. What is the maximum number of dwarfs for whom all the numbers they find could be different?

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