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<node id="382680" title="Re: Finding longest palindrome from a string" created="2004-08-13 10:14:34" updated="2005-07-29 08:26:10">
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note</type>
<author id="246930">
fizbin</author>
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<field name="doctext">
Given the number who have gone before, surely this has been done already, but...
&lt;p&gt;
&lt;table&gt;&lt;tr class="code"&gt;&lt;td bgcolor="#000000" color="#000000"&gt;
&lt;pre&gt;&lt;font size="-1" color="#000000"&gt;
sub fizbin {
  return $_&amp;#091;0] unless ($_&amp;#091;0] and length($_&amp;#091;0]) &amp;gt; 1);
  my @string = (300, unpack("U*", $_&amp;#091;0]), 301);
  my $palstart, $palend;
  my ($bestlen, $beststart, $bestend) = (-1,-1,-1);
  for ($palmid = 1; $palmid &amp;lt; $#string; $palmid++)
  {
    if ($string&amp;#091;$palmid] == $string&amp;#091;$palmid+1])
    { # try even-length palindrome
      ($palstart, $palend) = ($palmid, $palmid+1);
      while ($string&amp;#091;$palend+1] == $string&amp;#091;$palstart-1])
      {
        $palend++; $palstart--;
      }
      if ($bestlen &amp;lt; $palend - $palstart)
      {
          ($bestlen, $bestend, $beststart) =
          ($palend - $palstart, $palend, $palstart);
      }
    }
    # try odd-length palindrome
    ($palstart, $palend) = ($palmid, $palmid);
    while ($string&amp;#091;$palend+1] == $string&amp;#091;$palstart-1])
    {
      $palend++; $palstart--;
    }
    if ($bestlen &amp;lt; $palend - $palstart)
    {
      ($bestlen, $bestend, $beststart) =
          ($palend - $palstart, $palend, $palstart);
    }
  }
  pack("U*", @string&amp;#091;$beststart..$bestend]);
}
&lt;/font&gt;&lt;/pre&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;
It's also unfortunately an O(n^2) algorithm, but my initial O(n) idea turned out to be badly flawed.  (Actually, I guess it's O(n*m), where "n" is the length of the input and "m" is the length of the longest palindrome - in the worst case, a string of all the same letter, it'd be O(n^2))
&lt;p&gt;
Note that it'll also work on unicode strings, assuming that perl knows that its argument is a unicode string.
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&lt;div class="pmsig"&gt;&lt;div class="pmsig-246930"&gt;
&lt;code&gt;--
@/=map{[/./g]}qw/.h_nJ Xapou cets krht ele_ r_ra/;
map{y/X_/\n /;print}map{pop@$_}@/for@/&lt;/code&gt;
&lt;/div&gt;&lt;/div&gt;</field>
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382567</field>
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382567</field>
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