
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
A game show offers a contestant three prizes, each worth a whole number of dollars from $1 to $99999. As a hint, the digits of the three prices are given. On a particular day, the digits provided were $1, 1, 1, 1, 2, 2, 3, 3, 3$. The contestant must correctly guess the price of each prize in the order A, B, C. Determine the total number of possible guesses for all three prizes consistent with the hint.

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