MathDB
decoratin a square blanket with a ribbon and buttons, 2007th button ?

Source: Portugal OPM 2007 p4

May 19, 2024
combinatoricscombinatorial geometry

Problem Statement

Fernanda decided to decorate a square blanket with a ribbon and buttons, placing a button in the center of each square where the ribbon passes and forming the design indicated in the figure. If Fernanda sews the first button in the shaded square on line 00, on which line does she sew the 20072007th button? https://cdn.artofproblemsolving.com/attachments/2/9/0c9c85ec6448ee3f6f363c8f4bcdd5209f53f6.png