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Let P be a group of n points in a plane. For a point S ( p , d ) , the parallel square to

Let P be a group of n points in a plane. For a point S(p,d), the parallel square to the axes
with its center at p and side length d is defined.
Describe an efficient algorithm for the following decision problem.
Input - a positive real number d
Output - "Yes" if there exist two points p and q in P such that PsubeS(p,d)S(q,d), and
"No" otherwise.
The desired runtime is O(n).
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