UA-UMO 1998 Problem 101

Find all pairs of real numbers $(x,y)$ satisfying the equation $\sin^2x+\sin^2y=\frac{|x|}x+\frac{|y|}y.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.