
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, B, and C play a game. A thinks of a two-digit number and then multiplies it by 100, B thinks of a one-digit number and then multiplies it by 10, C thinks of a one-digit number and then multiplies it by 7. Finally, they add up all three products, and the result is 2024. What is the sum of the numbers that A, B, and C originally thought of?

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