Beefy Boxes and Bandwidth Generously Provided by pair Networks
Perl-Sensitive Sunglasses
 
PerlMonks  

Comment on

( #3333=superdoc: print w/ replies, xml ) Need Help??

Keep in mind that this is a weighted distribution: three categories with weight 10 are worth one category with weight 30 (so if N=2, you'd want 3/1 rather than 2/2).

This looks to me like a constrained (order must not change) variant on the bin packing problem. Bin packing is NP-complete in the general case (IIRC), but the order constraint makes this quite tractable (see merlyn's typesetting comment). This problem has a rather good (n lg n or n^2) solution via dynamic programming: the typesetting problem was on one of my assignments in an advanced algorithms class. (Hey, did Ovid just post a homework problem? ;-b) I'll dig through my old notes when I get home from work and see if I can find it. In the mean time, you (Ovid) might look at Text::Format for ideas.

Update: D'oh! Another constraint on the text formatting problem that isn't present here is a maximum on line length (bin size), which makes it hard to reject a bogus solution (too much in one bin) quickly. On the other hand, this solution is constrained by number of bins, which the text formatting solution isn't. Hmm.... (Great problem, Ovid!)

--
The hell with paco, vote for Erudil!
:wq


In reply to Re(2): Puzzle: need a more general algorithm by FoxtrotUniform
in thread Puzzle: need a more general algorithm by Ovid

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!
  • 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, 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, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • Outside of code tags, you may need to use entities for some characters:
            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.
  • Log In?
    Username:
    Password:

    What's my password?
    Create A New User
    Chatterbox?
    and the web crawler heard nothing...

    How do I use this? | Other CB clients
    Other Users?
    Others browsing the Monastery: (8)
    As of 2014-12-29 11:45 GMT
    Sections?
    Information?
    Find Nodes?
    Leftovers?
      Voting Booth?

      Is guessing a good strategy for surviving in the IT business?





      Results (187 votes), past polls