BALKAN-SL 2018 A2
Two ants start at the same point in the plane. Each minute they choose whether to walk due north, east, south or west. They each walk 1 meter in the first minute. In each subsequent minute the distance they walk is multiplied by a rational number . They meet after a whole number of minutes, but have not taken exactly the same route within that time. Determine all possible values of . (United Kingdom)
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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