
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 five consecutive natural numbers and squared each of them. Then, Yura took three of the five resulting squares, and Roma took the other two. It turned out that the sum of the squares Yura took equals the sum of the squares Roma took. Provide an example of the numbers Yura and Roma could have found and verify that they fit the given condition.

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