
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
If a two-digit number is divided by the sum of its digits, the quotient is 3 and the remainder is 7. If you then take the sum of the squares of its digits and subtract the product of the same digits, you get the original number. Find this number.

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