@next is a linked list of the lists sorted by their first remaining item. So $p is the (index of the) list to pick from (with the smallest item). $next[$p] is the (index of the) next list, the one with the next smallest first remaining item. $next[$next[$p]] is the list after that. And -1 marks the end of the linked list.

After processing one item, we move that list's index in the linked list by moving down the linked list until we find the spot where its new first remaining item falls between two other lists' first remaining items.

The linked list means that we don't need to shift a whole block of array elements to do this "delete and re-insert later in the list" operation.

Of course, if you used a plain array, then you could use a binary search for finding the next place to insert.

And, since this is Perl, the fastest solution will likely be the one that involves the fewest opcodes instead of the one with the smallest "big O" complexity. If I were writing this in C, I'd use a heap; but those are rarely the fastest solution in Perl because slow opcode dispatch makes the more complex algorithm too heavy of a speed penalty -- you'd need a huge number of lists for a heap to pay off speed-wise in Perl.

- tye        


In reply to Re^3: Searching parallel arrays. (just merge) by tye
in thread Searching parallel arrays. by BrowserUk

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