
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
Imagine a scenario with two neighboring states, Alphazia and Betaland. Alphazia issues license plates with a format of two letters followed by three digits and then two more letters (e.g., AB123CD). Betaland issues license plates with a format of three letters, followed by two digits, and ending with two more letters (e.g., ABC12DE). Assuming each digit can be any of the 10 digits and each letter can be any of the 26 letters of the English alphabet, how many more license plates can Alphazia issue than Betaland?

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