> There are certainly many paths meeting that criterion most probably automatically constructed from smaller segments like

OK not trivial, but well studied and becoming easier with growing number of possible moves (i.e. low number of non-positive cells here)

see Hamiltonian Path

But the general case is NP complete ... hmm ...

... well ... HaHaHaHaHaHaHaHaHaHa .... HaHaHaHaHaHaHaHaHaHa

;)

Cheers Rolf
(addicted to the Perl Programming Language :)
Wikisyntax for the Monastery


In reply to Re^3: Highest total sum path problem by LanX
in thread Highest total sum path problem by baxy77bax

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.