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Show that there exists a finite set A \subset \mathbb{R}^2 such that for every X \in A there are points Y_1, Y_2, \ldots, Y_{1993} in A such that the distance between X and Y_i is equal to 1, for every i.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1875IMO Shortlist 1994 problem A14
1927IMO Shortlist 1996 problem A114
1984IMO Shortlist 1998 problem A213
2012IMO Shortlist 1999 problem A23
2120IMO Shortlist 2003 problem A11
2179IMO Shortlist 2005 problem A34