olymmath

VWO 1996 Problem 3

    Consider the points 1,12,13,...1,\frac12,\frac13,... on the real axis. Find the smallest value k∈N0k \in \mathbb{N}_0 for which all points above can be covered with 5 closed intervals of length 1k\frac1k .

    Dataset text AI-MO AoPS. Quoted with source.

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