We are given a fixed point on the circle of radius 1, and going from this point along the circumference in the positive direction on curved distances 0,1,2,… from it we obtain points with abscisas n=0,1,2,.… respectively. How many points among them should we take to ensure that some two of them are less than the distance 51 apart ? combinatoricscirclealgebraapproximationIMO Shortlist