
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
Yura and Roma found 2019 consecutive natural numbers and squared each of them. After that, Yura took 1010 of the 2019 resulting squares, and Roma took the remaining 1009. It turned out that the sum of the numbers that Yura took is equal to the sum of the numbers that Roma took. Provide an example of the numbers Yura and Roma could have found, and verify that they are suitable.

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