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Let C={c1,…,cn} be a collection of disjoint closed bounded convex sets in the plane. Suppose that one of them, say c1, represents a valuable object we want to uncover, and we are allowed to pick a direction α∈[0,2π) along which we can translate (remove) the elements of C, one at a time, while avoiding collisions. We study the problem of finding a direction α0 such that the number of elements that...
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