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Consider a disk D of radius 1 . We say a collection of shapes hides D if we can place the shapes from that collection

Consider a disk D of radius 1. We say a collection of shapes hides D if we can place the shapes
from that collection on top of the disk in such a way that each point of the disk is under some
part of at least one of the shapes. For example, D can be hidden by a single disk of radius
greater-than-or-equal-to 1. However, D cannot be hidden by a single disk of smaller radius
than 1. As another example, D can be hidden by 7 disks of radius 3/4 by placing one radius
3/4 disk at the center and the remaining radius 3/4 disks around the edge of D as follows:

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