going from the origin and southwest, odd squares are displayed. So 45^2 = 2025 is displayed. Finally, go north 22.

Singular wrote: going from the origin and southwest, odd squares are displayed. So 45^2 = 2025 is displayed. Finally, go north 22. I think you mean southeast.

The points in the plane with integer coordinates are numbered as below. What are the coordinates of the number $2003$?