My problem is I can't think of the mathematical algorithm in order to check the overlap between the two ranges of numbers.

You do know how to whistle don't you?

overlap range
overlap range
site:perlmonks.org overlap range
site:search.cpan.org overlap range
Number::Range
overlap between ranges
Range overlap (with a lot of ranges)

In reply to Re: Calculate overlap between 2 ranges of numbers by Anonymous Monk
in thread Calculate overlap between 2 ranges of numbers by Anonymous Monk

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