
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
Two ten-digit numbers are called neighboring if they differ by only one digit in any position (for example, 1234567890 and 1234507890 are neighboring). What is the maximum number of ten-digit numbers that can be listed so that none of them are neighboring?

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