
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
Find all 3-digit integers \( n \) such that the decimal representation of \( n^2 \) ends with the decimal representation of \( n \).

For example, for 1-digit integers, \( 5^2 = 25 \) and \( 6^2 = 36 \), and for 2-digit integers, \( 25^2 = 625 \) and \( 76^2 = 5776 \).

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