As I think I've said elsewhere, Limbic~Region's solution has a time complexity that goes up as O(K!/(N!(K-N)!)), that is as "K choose N", where K is the number of keywords and N the size of your tuples. However, I think that the memory requirements of his solution are only O(K*I), where I is the number of items.

Contrast my solution, which while it wins on this set of data (5 seconds for what takes L~R's 30 minutes), has a time complexity of at least O(I*L!/(N!(L-N)!)), and so bogs down if the size of the sets increases, (just change rand(8) to rand(80) and watch it fall over) and has a memory complexity of something like that as well. (where "L" is the average size of a set) 

--
@/=map{[/./g]}qw/.h_nJ Xapou cets krht ele_ r_ra/;
map{y/X_/\n /;print}map{pop@$_}@/for@/

[download]

In reply to Re^5: algorithm for 'best subsets' by fizbin
in thread algorithm for 'best subsets' by halley

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.