
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
Flatville now requires even more bicycle license plates. Initially, each plate contains three letters: the first from $\{C, H, L, P, R, S\}$, the second from $\{A, I, O, U\}$, and the third from $\{D, M, N, T, V\}$. To meet the demand, they plan to add three new letters. These new letters can be distributed across the sets in any manner. What is the largest possible number of ADDITIONAL license plates that can be made by adding three letters?

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