I'd try to Permute (0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1). Then sort (no need to supply a sort routine), and unique the resulting list. Be careful though not to use a hash (collision city!) to do the uniqeing, rather simply tracking and comparing against the previous value.

UPDATE: And I'd have made the problem worse. That turns it into a factorial or 18! which is 6_402_373_705_728_000 permutations. (Even with the most efficient means I can think of to store this, pack it and push the result onto an array, it'd be 14,000 terabytes, not counting the internal overhead for the data structure. *sigh*). This comes about (and is why a uniq and sort would be necessary) because we have elements which are indistinguishable from one another. In the 425756 permutations I generated I had 420376 duplicates, or only 5380 results.

--
perl -pe "s/\b;([st])/'\1/mg"


In reply to Re: Is there a faster way to do this? by belg4mit
in thread Permutations in binary by Anonymous Monk

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.