On Sat, 28 Jan 2012 06:36:49 +1100, Andrei Alexandrescu <[email protected]> wrote:

Here's a multikey sorting problem that's bothering me; I think it's well researched but I can't find the right keywords.

Say we have a collection of people with height and hair length information. We want to get people who are "tall and long-haired". More precisely, we want to order people by rank(p.height) + rank(p.hairlength), where rank(p.k) is the function that returns the rank of person p if ordered by key k.

The brute force approach would essentially compute the two ranks and then sort by their sum. That's three sorts and at least one temporary array. But I think things can be done considerably better. Any ideas?

Just a further clarification ...

If a person is tall and has short hair, would they be included in the sort? In other words, are you ONLY looking for tall AND long-haired people or are you looking for relative ranking of tallness and hairiness?

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Derek Parnell
Melbourne, Australia

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