Mathematical and Physical Journal
for High Schools
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Problem A. 629. (December 2014)

A. 629. An infinite number of points have been marked in the square grid in such a way that no circle contains more than 2014 marked points. Show that there is a circular disk of diameter 100 (in the plane of the grid) that does not contain any marked point in its interior.

Proposed by: Péter Ágoston, Zoltán Gyenes and Bálint Hujter

(5 pont)

Deadline expired on January 12, 2015.


6 students sent a solution.
5 points:Fehér Zsombor, Janzer Barnabás, Szabó 789 Barnabás, Williams Kada.
4 points:Gáspár Attila.
0 point:1 student.

Problems in Mathematics of KöMaL, December 2014