
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
Vojta wanted to add several three-digit natural numbers using a calculator. On the first attempt, he got a result of 2224. To check, he summed the numbers again and got 2198. He calculated it once more and this time got a sum of 2204. It turned out that the last three-digit number was troublesome—Vojta failed to press one of its digits hard enough each time, resulting in entering a two-digit number instead of a three-digit number into the calculator. No other errors occurred during the addition. What is the correct sum of Vojta's numbers?

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