MathDB

Math Prize 2014 Problem 11

Source:

September 29, 2014

floor functiongeometry

Problem Statement

Let

R

be the set of points

(x, y)

such that

\lfloor x^2 \rfloor = \lfloor y \rfloor

and

\lfloor y^2 \rfloor = \lfloor x \rfloor

. Compute the area of region

R

. Recall that

\lfloor z \rfloor

is the greatest integer that is less than or equal to

z