
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
21 consecutive numbers are written down: from 2000 to 2020 inclusive. Enthusiastic about numerology, Vova and Dima performed the following ritual: first, Vova erased several consecutive numbers, then Dima erased several consecutive numbers, and finally, Vova erased several consecutive numbers (in each step they erased consecutive natural numbers, without skipping over the gaps that had formed). As a result, the sum of the numbers erased by Vova was exactly four times the sum of the numbers erased by Dima, and one number remained from the sequence. Which numbers can be said with certainty to have been erased by Dima?

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