
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
Complex numbers $p,$ $q,$ $r,$ and $s$ form a rectangle in the complex plane with side lengths of 15 and 20. If $|p + q + r + s| = 50,$ find $|pq + pr + ps + qr + qs + rs|.$

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