
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]


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In a certain state, license plate numbers are composed of 6 digits (from the digits 0-9). The state mandates that any two license plate numbers must differ by at least two digits (for example, 027592 and 020592 cannot both be used). Determine the maximum number of distinct license plate numbers possible, and provide a proof. (19th US Mathematical Olympiad, 1990)

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