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Consider 9 points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left uncolored. Find the smallest value of \,n\, such that whenever exactly \,n\, edges are colored, the set of colored edges necessarily contains a triangle all of whose edges have the same color.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
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1680IMO Shortlist 1986 problem 170
1697IMO Shortlist 1987 problem 130
1720IMO Shortlist 1988 problem 130