2016 AIME I Problems/Problem 14
Problem
Centered at each lattice point in the coordinate plane are a circle radius 
and a square with sides of length 
whose sides are parallel to the coordinate axes. The line segment from 
to 
intersects 
of the squares and 
of the circles. Find 
.
Solution
First note that 
and 
so every point of the form 
is on the line. Then consider the line 
from to 
. Translate the line so that is now the origin.
