IMO 1972 LL BUL3
On a line a set of segments is given of total length less than
IMO 1972 LL BUL3
Origin: BUL
Problem
On a line a set of segments is given of total length less than n. Prove that every set of n points of the line can be translated in some direction along the line for a distance smaller than n/2 so that none of the points remain on the segments.