
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
Let's call a natural number special if one of its digits can be changed to another such that all the digits in the resulting number are different. Numbers in which all the digits are already different are also considered special. How many special ten-digit numbers exist?

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