
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
The Rotokas of Papua New Guinea have twelve letters in their alphabet. The letters are: A, E, G, I, K, O, P, R, S, T, U, and V. License plates of five letters use only the letters in the Rotokas alphabet. Create a license plate of five letters such that it must begin and end with a vowel (from A, E, I, O, U), containing exactly two vowels (including the first and last), cannot contain the letter G, and have no letters that repeat.

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