7. Most computers display images as a raster of points called pixels that can be addressed by their coordinates. These coordinates are ordered pairs and hence elements of a Cartesian product. We represent an image by coloring in the points that correspond to elements of a subset of a Cartesian product in the raster that represents the Cartesian product. Consider the raster below:
5
(L,6)
(4,8)
(5,0)
4
(1,4)
(3,4)
(5,4)
3
(2,3)
(4,3)
2
(L,2)
(2,2)
(4,2)
(5,2)
1
(1,1)
(2,1)
(4,1)
(5,1)
1
2
3
4
5
What is the subset of {1,2,3,4,5} x {1,2,3,4,5} represented by the black pixels in the raster above?