
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 $(5, 20)$ and $(11, -8)$ are the coordinates of two opposite vertices of a rectangle, find the sum of the $y$-coordinates of the other two vertices after the rectangle is rotated 90 degrees around its center.

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