Prove that for every positive integer
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we can find a finite set
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of points in the plane, such that given any point
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of
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, there are exactly
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points in
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at unit distance from
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.
%V0
Prove that for every positive integer $m$ we can find a finite set $S$ of points in the plane, such that given any point $A$ of $S$, there are exactly $m$ points in $S$ at unit distance from $A$.