Ok, more thoughts... the odd case is trivial in the algorithmic sense. The pattern I've printed previously for N=7 should work for any odd N. The first half of the field of the even case is also trivial in the algorithmic sense. Player 1 will always have N-1 .. 2, Player 2 will be N-2 to 3, N-1, 1, Player 3 will be N-3 .. (N-1) .. 1, N-2, N-3 .. and all other players from 4 down to N/2 will be the same.

The second half of the even case gets complicated, because in manual tests of the case of 8 I saw situations where patterns had to be adjusted because of prior use of a pairing.

David.

In reply to Re: Algorithm problem: Order matches by difference between players by dwm042
in thread Algorithm problem: Order matches by difference between players by Dirk80

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.