Bessie
the cow, always a fan of shiny objects, has taken up a hobby of mining
diamonds in her spare time! She has collected N diamonds (N≤50,000) of
varying sizes, and she wants to arrange some of them in a pair of
display cases in the barn.
Since Bessie wants the diamonds in each of
the two cases to be relatively similar in size, she decides that she
will not include two diamonds in the same case if their sizes differ by
more than K
(two diamonds can be displayed together in
the same case if their sizes differ by exactly K). Given K, please help
Bessie determine the maximum number of diamonds she can display in both
cases together.