
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
It is known about the numbers \( x_1 \) and \( x_2 \) that \( x_1 + x_2 = 2 \sqrt{1703} \) and \( \left| x_1 - x_2 \right| = 90 \). Find \( x_1 \cdot x_2 \).

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