MathDB

Centered at each lattice point in the coordinate plane are a circle of radius

\tfrac{1}{10}

and a square with sides of length

\tfrac{1}{5}

whose sides are parallel to the coordinate axes. The line segment from

(0, 0)

(1001, 429)

intersects

m

of the squares and

n

of the circles. Find

m + n

Problem Statement