
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 consisting of A, E, G, I, K, O, P, R, S, T, U, and V. Suppose certain special license plates of five letters use only letters from the Rotokas alphabet. How many such license plates can be formed that begin with either I or U, end with A, cannot contain both E and S, and do not repeat any letter?

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