Just a note about my code design:
I didn't need to use a seperate lookup structure. I could just have interated over the keys of %hash (like Aristotle did). However, iterating over an array will return consistent results whereas iterating over a hash will not.
Given
@nlist = (9,3,27);
always gives
'A' => [9,27], 'B' => [3]
with my code, but can give either
'A' => [9,27], 'B' => [3]
or
'A' => [9], 'B' => [3,27]
(unpredicatbly) when iterating through %hash.
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