I tried many more complicated strategies, but this one seems to work best. I'm still not convinced every sentence beginning will resolve. My stategy is simply to produce opportunities for the synchronicity to happen.

To improve the algorithm, I need more sentence beginnings that I know have a resolution, for analysis. So please let me know of any successes you have.

YuckFoo

#!/usr/bin/perl

   use strict;

   my $GERM  = "Any Perlmonk could write a sentence using\n";

   my $RESET = 4096;
   my $PROB  = .5;

   my $words = makewords();
   my $letts = makeletters();

   my ($sent, $iter, $best);

   while (1) {

      $sent = makesentence($GERM, $words, $letts);

      updatecounts($letts, $sent);
      my ($broke, $score) = scoreclaim($letts);

      if ($iter++ % $RESET == 0) {
         $best = $score;
         print "\n";
      }

      if    ($score == 0)     { last; }
      elsif ($score < $best)  {

         $best = join('', @{$broke});
         $best = "$score-$best";

         print "$iter $best\n";
         $best = $score;
      }

      for my $letter (@{$broke}) {
         if (rand() < $PROB) {
            my $amount = int(rand(abs($letts->{$letter}{score}+1)))+1;
            if ($letts->{$letter}{score} > 0) { $amount *= -1; }
            $letts->{$letter}{claim} += $amount;
         }
      }
   }

   print "\n$sent\n";

#-----------------------------------------------------------
sub scoreclaim {

   my ($letts) = @_;
   my ($total, @broke);

   for my $ch ('a'..'z') {
      my $score = $letts->{$ch}{claim} - $letts->{$ch}{count};
      $letts->{$ch}{score} = $score;
      $total += abs($score);
      
      if (abs($letts->{$ch}{score}) > 0) { push(@broke, $ch); }
   }
   
   return (\@broke, $total);
}

#-----------------------------------------------------------
sub updatecounts {
   
   my ($letts, $sent) = @_;
   
   for my $ch ('a'..'z') { 
      $letts->{$ch}{count} = (() = $sent =~ m{$ch}ig);
   }
}

#-----------------------------------------------------------
sub makesentence {
   
   my ($sent, $words, $letts) = @_;
   my ($num);
   
   for my $ch ('a'..'y') {
      
      $num = $letts->{$ch}{claim};
      
      if ($num != 1) { $sent .= " $words->{$num} ${ch}'s,\n"; }
      else           { $sent .= " $words->{$num} $ch,\n"; }
   }
   
   $num = $letts->{z}{claim}; 
   $sent .= " and $words->{$num} z";
   if ($num != 1) { $sent .= "'s"; }
   $sent .= '.';
   
   return $sent;
}

#-----------------------------------------------------------
sub makeletters {
   
   my $letters = {};
   
   for my $ch ('a'..'z') {   
      $letters->{$ch}        = {};
      $letters->{$ch}{claim} = 1;
      $letters->{$ch}{count} = 0;
      $letters->{$ch}{score} = 0;
   }
   
   return $letters;
}

#-----------------------------------------------------------
sub makewords {
   
   my (%words, $line);
   
   while (chomp ($line = <DATA>)) {
      my ($key, $val) = split(' ', $line);
      $words{$key} = $val;
   }
   
   for ($line = 0; $line < 100; $line++) {
      if (!defined($words{$line})) {
         my $tens = int($line / 10); 
         my $ones = $line - ($tens * 10);
         $tens .= '0'; 
         $words{$line} = "$words{$tens}-$words{$ones}";
      }
   }
   
   return \%words;
}

__DATA__
0 no
1 one
2 two
3 three
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Edit kudra, 2002-05-30 Added readmore