
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
Each person in their heart silently remembers two non-zero numbers. Calculate the square of the sum of these two numbers, and record the result as "Sum". Calculate the square of the difference of these two numbers, and record the result as "Diff". Then calculate the product of these two numbers, and record the result as "Prod." Use "Sum", "Diff", and "Prod" to compute the following expression:
\[
\left(\frac{\text{Sum} - \text{Diff}}{\text{Prod}}\right)^{2} = ?
\]

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