
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 state has introduced a new license plate design consisting of 6 digits, not necessarily distinct, and an additional unit comprising 2 letters, not necessarily distinct, which must appear next to each other. Besides these, there is an option to include one more letter at either the beginning or the end of the plate. How many distinct license plates are possible?

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