
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
To the digital record of a certain two-digit number, this same number was appended on the right side, and from the resulting number, the square of the original number was subtracted. The difference obtained was divided by 4% of the square of the original number; the quotient was half of the original number, and the remainder was the original number. What number was thought of?

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