
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]


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A game show offers a contestant another chance with three new prizes A, B, and C, each worth a whole number of dollars from $1$ to $9999$ inclusive. The hint for the day’s game is the digits are given as $1, 1, 1, 1, 3, 3, 3, 3$. Determine the total number of possible guesses for all three prizes consistent with the hint, with the condition that prize C must be at least a three-digit number.

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