Perl CGI Counter randomly skips

I am using the code below to count hits on a web site.
Problem is it randomly skips on the tenth digit?
      For example 10 may show up but 20 shows as 10..:
      5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,10,21,22,23,24,25,26,27,28,29,20,31,32
This is random.. sometimes the tenth digit is correct sometimes it doesn't increment until the last digit hits 1.

This does not use FLY or SSI.. it is called with the following html:
          <img src="http://website/cgi-bin/counter.cgi?1">  
          <img src="http://website/cgi-bin/counter.cgi?0&w">

Here's the code:
---------------------------------------------------------------
  $digits_basedir = "http://website/cgi-bin/counter/";
  $count_file = "count";
($place, $Write) = split(/\&/,$ENV{QUERY_STRING});

open(COUNT,"$count_file") || die "Can't Read From Count File $count_file, Error : $!\n";
($count) = <COUNT>;
close(COUNT);
$count =~ s/\n//;

if ($Write =~ /w/i) {
   $count++;
   open(COUNT,">$count_file") || die "Can't Write To Count File $count_file, Error : $!\n";
   print COUNT "$count";
   close(COUNT);
}
$count = "0000000000".$count;
@chiffres = split(//, $count);
@chiffres = reverse(@chiffres);
print "Location: ".$digits_basedir.$chiffres[$place].".gif\n\n";