How quickly can you do it?

Let's assume the background is a single color and the line is a 
single-pixel-wide line segment painted with a normal line drawing algorithm 
(Bresenham). Like this. <https://botcompany.de/images/1102971>

I propose a method to find that line in 40 simple steps, each requiring 
constant time.

So in practice, it takes something like 100 ns and the method returns the 
line's pixel-exact start and end coordinates (x1, y1, x2, y2).

In oder to enable this ultrafast recognition, I need one initial preprocessing 
step.

What is that preprocessing step?
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Artificial General Intelligence List: AGI
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