Heuristic solutions can be improved.

You're still missing the point. You can only know when to stop looking for an improvement (either through changes to the algorithm or further iterations), if you have some target to aim for. Maybe 446 is the best for this particular dataset. Or maybe, there is another 2 point gain to be had? Or a 20 point gain? Or 200? Maybe there are hundreds of better solutions to this particular dataset. Without running an exhaustive search you have no way of judging how good any particular heuristic is for any given dataset.

And whilst your modifications find better solutions for this dataset, maybe my original will work better for a different dataset? Or many different datasets. And without an exhaustive search of a representative sample of datasets, you've no way to compare the efficacy of different heuristics.

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
"Too many [] have been sedated by an oppressive environment of political correctness and risk aversion."

In reply to Re^5: Challenge: Letter Power by BrowserUk
in thread Challenge: Letter Power by Tanktalus

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.