
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
A certain state issues license plates consisting of six digits (from 0 to 9).  The state requires that any two license plates differ in at least two places.  (For instance, the numbers 027592 and 020592 cannot both be used.)  Determine, with proof, the maximum number of distinct license plates that the state can use.

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