
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
In Flatville, vehicle license plates each contain four characters: two letters followed by two numbers. The first letter is chosen from the set $\{B, F, J, N, R\}$, the second letter from $\{E, I, U\}$, the first number can be any digit from 0 to 4, and the second number any digit from 5 to 9.

When Flatville needed more license plates, they added two new digits and one new letter. The new digits are added to the first number set and the new letter to the second letter set. What is the largest possible number of ADDITIONAL vehicle license plates that can be made by these additions?

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