There are Just a Few Points To
Check on the Other Side
For a point p on the left to be
close to a point q on the right
q must be within distance d
of p
q must fall within a rectangle
of size d by 2d
How many points (on the
right) can fit into such a
rectangle?
Any two points on the right
are distance d or more apart
Thus there are at most 6
points in the rectangle
d
d
p
d
d
CS409 - Spring 2000
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