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For
a point p on the left to be
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close
to a point q on the right
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q must
be within distance d
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of p
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q must
fall within a rectangle
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of size
d by 2d
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How
many points (on the
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right)
can fit into such a
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rectangle?
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Any two
points on the right
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are
distance d or more apart
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Thus
there are at most 6
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points
in the rectangle
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