File Coverage

blib/lib/Games/Cards/Poker.pm

Criterion	Covered	Total	%
statement	306	505	60.5
branch	144	292	49.3
condition	69	153	45.1
subroutine	25	33	75.7
pod	28	28	100.0
total	572	1011	56.5

#!/usr/bin/perl
# 43KKNlxM:Games::Cards::Poker.pm by PipStuart  to provide useful Poker card-game functions using only Perl;
package    Games::Cards::Poker;
require              Exporter ;
use strict;use warnings;use utf8;
use base          qw(Exporter);
use Algorithm::ChooseSubsets  ;
our @EXPORT      = qw(Shuffle Deck SortCards ShortHand ScoreHand HandScore);
our @EXPORT_OK   = qw(HandName VerboseHandName  %pd8a %zdnh %zplf %zloh BJHandScore
                      BestIndices  CardB64 B64Hand CardDec DecHand  CardName BJCmp
                      BestHand     B64Card HandB64 DecCard HandDec  NameCard BJ
                      WorstHand RemoveCard CountWays CalcOdds FindNuts                  );
our %EXPORT_TAGS = ('all'  => [ qw(Shuffle Deck SortCards ShortHand
                      HandName VerboseHandName  %pd8a %zdnh %zplf %zloh      FindNuts
                      BestIndices  CardB64 B64Hand CardDec DecHand ScoreHand CardName
                      BestHand     B64Card HandB64 DecCard HandDec HandScore NameCard
                      WorstHand RemoveCard CountWays CalcOdds BJ BJHandScore BJCmp      ) ],
                    'best' => [ qw(BestIndices   BestHand                               ) ],
                    'name' => [ qw(CardName NameCard HandName VerboseHandName           ) ],
                    'b64'  => [ qw(CardB64   B64Card HandB64  B64Hand                   ) ],
                    'dec'  => [ qw(CardDec   DecCard HandDec  DecHand                   ) ],
                    'odds' => [ qw(WorstHand RemoveCard CountWays CalcOdds   FindNuts   ) ],
                    'blak' => [ qw(Shuffle Deck SortCards ShortHand BJ BJCmp BJHandScore) ],
                    'pd8a' => [ qw(                %pd8a   %zdnh %zplf %zloh            ) ] );
our $VERSION = '1.4';my $d8VS='H66ML4K8'; # major . minor; no PipTimeStamp but new d8 VersionString
our %pd8a;our %zdnh;our %zplf;our %zloh; # global Poker Data hash, reverse HaNDZ (5 cardz), FLoPZ (3), and HOLeZ (2) index lookups
my @sb64=('0'..'9','A'..'Z','a'..'z','.','_'); # SingleBase64 array && Base10 hash (so probably won't need Math::BaseCnv anymore since no more choose either)
my %sb10=();$sb10{$sb64[$_]}=$_ for(0..$#sb64);
sub Deck{my        @deck=(); # return an array of cards as a whole new deck in clean new order
  for    my $rank (@{$pd8a{'rprg'}}){
    for  my $suit (@{$pd8a{'sprg'}}){push(@deck,"$rank$suit");}} return(@deck);}
sub Shuffle{  # takes an arrayref or list of items to shuffle
  return(0) unless(@_); # must have at least one parameter
  my $aflg = 0;    $aflg = 1 if(ref($_[0]) eq 'ARRAY');
  my $size = 0; my $aref; my @data = @_;
  if($aflg){       $aref =  $_[0]; }
  else     {       $aref = \@data; }
  $size    =     @{$aref};
  for(my $indx   =($size - 1); $indx; $indx--){
      my $rand   = int(rand($indx+1));
    if(  $rand  != $indx){
      (  $aref  ->[$indx],$aref->[$rand])=($aref->[$rand],$aref->[$indx]); } }
  if($aflg){return $aref}
  else     {return @data} }
sub SortCards{ # takes an arrayref or list of cards to sort
  return(0) unless(@_); # must have at least one parameter
  my $aflg = 0; $aflg = 1 if(ref($_[0]) eq 'ARRAY'); my $aref; my @data = @_;
  if($aflg){ $aref =  $_[0]; }
  else     { $aref = \@data; }
# what needs to sort:
#  'A'..'2'
#  'As'..'Ac'
#  'AA','AKs','AK'..'A2'
#  'AAA','AAK'..'AKQs','AKQ'..'222'
#  'AAAAK','AAAAQ'..'AKQJTs','AKQJT'..'32222' # based on rank values not scores
  @{$aref} = sort {
    my $indx = 0;
    my $suba = 0;
    my $subb = 0;
    while($suba eq $subb && $indx < length($a)
                         && $indx < length($b)){
      $suba = substr($a, $indx, 1);
      $subb = substr($b, $indx, 1); $indx++; } # find first different char
    if   ($suba eq 'A' && $subb ne 'A'){ return(-1); }
    elsif($suba ne 'A' && $subb eq 'A'){ return( 1); }
    elsif($suba eq 'K' && $subb ne 'K'){ return(-1); }
    elsif($suba ne 'K' && $subb eq 'K'){ return( 1); }
    elsif($suba eq 'Q' && $subb ne 'Q'){ return(-1); }
    elsif($suba ne 'Q' && $subb eq 'Q'){ return( 1); }
    elsif($suba eq 'J' && $subb ne 'J'){ return(-1); }
    elsif($suba ne 'J' && $subb eq 'J'){ return( 1); }
    elsif($suba eq 'T' && $subb ne 'T'){ return(-1); }
    elsif($suba ne 'T' && $subb eq 'T'){ return( 1); }
    elsif($suba eq        $subb       ){
      if   (length($a) >  $indx       ){ return(-1); }
      elsif(length($b) >  $indx       ){ return( 1); }
      else                             { return( 0); }
    } else                             { return($b cmp $a); }
  } @{$aref};
  if( $aflg){return $aref}
  else      {return @data}}
sub ShortHand{ # takes an arrayref or list of cards to abbrev.
  return(0) unless(@_); # must have at least one parameter
  my $aflg = 0; $aflg = 1 if(ref($_[0]) eq 'ARRAY'); my $aref; my @data = @_;
  my $suit = 1; my $shrt = '';
  if($aflg){ $aref = $_[0];  }
  else     { $aref = \@data; }
  SortCards( $aref) unless(defined($aref) && @{$aref} == 1); # make sure cards are sorted first, or leave sorting to the app to perform only when it's needed
  for my $cndx (0..$#{$aref}){if(defined($cndx) && defined($aref->[$cndx])){ $shrt .= substr($aref->[$cndx], 0, 1);
             $suit =    0 if($suit  && (length($aref->[$cndx]) <  2 || substr($aref->[$cndx], 1, 1) ne
                                                                       substr($aref->[   0 ], 1, 1)));
  }}                      if($suit      ){     $shrt .= 's'; }         return($shrt           );}
sub BestIndices { # takes 5+ cards (7) and returns indices of the best 5
  my @crdz = @_; return(0) unless(@crdz >= 5); my @best = (); my @bhnd = ();
  my $choo = Algorithm::ChooseSubsets->new(scalar(@crdz), 5);
  while(my $choi = $choo->next()) {
    my @hand = ();
    for(my $cndx = 0; $cndx < 5; $cndx++) {
      push(@hand, $crdz[ $choi->[ $cndx ] ]) if(defined($crdz[ $choi->[ $cndx ] ]));
      my $bhsi=7462;$bhsi= HandScore(@bhnd) if(@bhnd == 5);
      my $rhsi=7462;$rhsi= HandScore(@hand) if(@hand == 5); # rhsi is returning undef why?
      if(@hand == 5 && (!@best || (defined($bhsi) && defined($rhsi) && $bhsi > $rhsi))) { # !sure why using uninitd valz in last test, so try2calc Scorez B4
        @best = @{$choi};@bhnd = ();
        push(@bhnd, $crdz[$_]) for(@best); } }
  } return(@best); }
sub BestHand { # takes return value of BestIndices() and all cards
  my @best = (shift, shift, shift, shift, shift); # get best indices
  my @crdz = @_;
  if(@crdz <= 2) { # if only 7 params given, pass onto Indices first
    unshift(@crdz,      @best);
    @best = BestIndices(@crdz); }
  return(0) unless(@best == 5 && @crdz >= 5); # ck for valid sizes
  my @hand = (); push(@hand, $crdz[$_]) for(@best); # copy best cards
  return(@hand); }
#ub OrigHandScore took 1 ShortHand or 5 cards and returned Poker hand score, mAB keep init part around in comNtz for a bit in case HandScore needs same options
#  Hand            ScoreRange  Size  Description
#--------------------------------------------------------
#  Royal    Flush     0           1  only one
#  Straight Flush     1..   9     9  King High through 5 High
#  Four-of-a-Kind    10.. 165   156  (13 choose 2) * 2
#  Full House       166.. 321   156  (13 choose 2) * 2
#           Flush   322..1598  1277  (13 choose 5) - 9
#  Straight        1599..1608    10  Ace  High through 5 High
#  Three-of-a-Kind 1609..2466   858  (13 choose 3) * 3
#  Two Pair        2467..3324   858  (13 choose 3) * 3
#  One Pair        3325..6184  2860  (13 choose 4) * 4
#  High Card       6185..7461  1277  (13 choose 5) - 9
# my @hand = @_; return(0) unless(@hand == 1 || @hand == 5);
# my $aflg = 0; $aflg = 1 if(ref( $hand[0]) eq 'ARRAY'); my $aref;
# if($aflg) { $aref =  $hand[0]; }
# else      { $aref = \@hand;    }
# my $scor = 7462; my @data = (); my $flsh = 0; my $strt = 0;
# my($set0, $set1);                      # temp values for matched sets
# my($xtr0, $xtr1,  $xtr2,   $xtr3,  $xtr4); # temp values for extra cards
# SortCards($aref) unless( @{$aref} ==   1);
# for(my    $indx=0;$indx<5; $indx++){ if(@{$aref} == 1){
#          ($data[  $indx]{  'rank' },      $data[$indx]{'suit'})=(substr(   $aref->[0],$indx,1),'s'); }
#   else{  ($data[  $indx]{  'rank' },      $data[$indx]{'suit'})= split (//,$aref->[   $indx ])     ; } }
# # make data unsuited if ShortHand param only had 5 ranks (no 's' on the end)
# $data[0]{'suit'} = 'h' if(@{$aref} == 1 && length($aref->[0]) == 5);
# started with general straight && flush tests then tested all combinations
sub ScoreHand { # returns the ShortHand representation of passed in score param
  my $hndx = shift(@_);$hndx = $#{$pd8a{'hndz'}} if(!defined($hndx) || $hndx =~ /\D/ || $hndx > $#{$pd8a{'hndz'}}); # do a bit of eror-ck on passedin HandiNDeX
  return($pd8a{'hndz'}[$hndx]);}
sub HandScore { # returns the score of the passed in @hand or ShortHand
  my @hand = @_; return(7462) unless(@hand == 1 || @hand == 5); my $shrt;
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if(  $aflg      ) { $aref =    $hand[0];          }
  else              { $aref =   \@hand;             }
  if(@{$aref} == 1) { $shrt =  $aref->[0];          }
  else              { $shrt =    ShortHand($aref);  }
  return(               7462) if(!defined($shrt) || !exists($zdnh{$shrt})); # one greater than max valid value is only weak error code for now
  return(       $zdnh{$shrt}); }
sub BJ { # returns the boolean value of whether the passed in @hand or ShortHand *is* a BlackJack
  my @hand = @_; return(-1) unless(@hand); my $shrt; my $scor;
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if(  $aflg      ) { $aref =    $hand[0];          }
  else              { $aref =   \@hand;             }
  SortCards($aref) unless(@{$aref} == 1); # make sure cards are sorted first
  if(@{$aref} == 1) { $shrt =  $aref->[0];          }
  else              { $shrt =    ShortHand($aref);  }
  $shrt =~ s/s$//; # BlackJack doesn't care about suitedness flags so strip any off
  return(1) if($shrt =~ /^A[KQJT]$/);
  return(0); }
sub BJHandScore { # returns the score of the passed in @hand or ShortHand for BlackJack
  my @hand = @_; return(-1) unless(@hand); my $shrt; my $scor;
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if(  $aflg      ) { $aref =    $hand[0];          }
  else              { $aref =   \@hand;             }
  if(@{$aref} == 1) { $shrt =  $aref->[0];          }
  else              { $shrt =    ShortHand($aref);  }
  $shrt =~ s/s$//; # BlackJack doesn't care about suitedness flags so strip any off
  for(split(//, $shrt)) {
    if   (/^\d$/    ) { $scor += $_; }
    elsif(/^[KQJT]$/) { $scor += 10; }
    elsif(/^A$/     ) { $scor += 11; $scor -= 10 if($scor >  21); }
  } return($scor); }
sub BJCmp { # Similar to <=> between the two BlackJack scores passed as parameters
  my $scr0 = shift() || 0; my $scr1 = shift() || 0;
  return(undef) unless($scr0 =~ /^\d+$/ && $scr1 =~ /^\d+$/);
  return(    0) if($scr0 == $scr1 || ($scr0 >  21 && $scr1 >    21)); # push
  return(    1) if($scr0 >     21 || ($scr1 <= 21 && $scr1 > $scr0)); # scr1 wins (right)
  return(   -1)#if($scr1 >     21 || ($scr0 <= 21 && $scr0 > $scr1)); # scr0 wins ( left)
}
sub CardName { # takes an abbreviated card (e.g., 'As') and returns full name
  my $card = shift() || return(0); my $name; my %data;
  if(length($card) == 1) { # just rank or suit was provided
    if($card =~ /^[shdc]$/i) { $data{'suit'} = $card; } # just suit so set card
    else                     { $data{'rank'} = $card; } # just rank so set card
  } else {
    ($data{'rank'}, $data{'suit'}) = split(//, $card); }
  if(exists($data{'rank'})) {
    $name .= $pd8a{'rnam'}[$pd8a{'rprv'}{$data{'rank'}}];
    $name .= ' of ' if(exists($data{'suit'})); }
  if(exists($data{'suit'})) {
    for(@{$pd8a{'snam'}}) { $name .= $_ if(/^$data{'suit'}/i); } }
  return($name); }
sub NameCard { # takes a full card name (e.g., 'Ace of Spades') and returns abbrev
  my $name = shift() || return(0); my $card;
  $name =~ s/\s+of\s+//gi; $name =~ s/\s+//g;
  for my $indx (0..$#{$pd8a{'rnam'}}) {
    if($name =~ s/$pd8a{'rnam'}[$indx]//i) { $card = $pd8a{'rprg'}[$indx]; last; } }
  for(@{$pd8a{'snam'}}) {
    if($name =~ s/$_//i) { $card .= lc(substr($_, 0, 1));  last; } }
  return($card); }
sub CardB64 { # takes an abbreviated card (e.g., 'As') and returns b64 rep
  return($sb64[ CardDec(@_)  + 10 ]); }
sub B64Card { # takes a b64 card and returns abbrev.
  my $card = shift() || return(0); my @deck = Deck();
  return($deck[ $sb10{$card} - 10 ]); }
sub CardDec { # takes an abbreviated card (e.g., 'As') and returns decimal rep
  my $card = shift() || return(0); my @deck = Deck();
  if(length($card) == 1) { # only rank or suit was provided
    if($card =~ /^[shdc]$/i) { $card  = "A$card"; }  # just suit so add Ace
    else                     { $card .= 's';      }} # just rank so add Spade
  for my $indx (0..$#deck) {
    return($indx) if($card eq $deck[$indx]); }
  return(52); }
sub DecCard { # takes a decimal card and returns abbrev
  my $card = shift() || return('As'); my @deck = Deck(); return($deck[$card]); }
sub HandName { # takes a \@handref, @hand, ShortHand, or score and returns name
  my @hand = @_; return(0) unless(@hand == 1 || @hand == 5); my $shrt; my $scor;
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if($aflg) { $aref =  $hand[0]; }
  else      { $aref = \@hand;    }
  if(@{$aref} == 1) { $shrt = $aref->[0];       }
  else              { $shrt = ShortHand($aref); }
  if(defined($shrt) && length($shrt) < 5 && $shrt =~ /^\d+$/) { $scor = $shrt; $shrt = ScoreHand($scor); }
  else                                                        { $scor =                HandScore($shrt); }
  for(sort { $b <=> $a } keys(%{$pd8a{'namz'}})) { return($pd8a{'namz'}{$_}) if(defined($scor) && $scor >= $_); }
  return('!*EROR*! Hand Not Found!'); }
sub VerboseHandName { # takes same params as HandName() and returns verbose name description
  my $hnam = HandName(@_);
  my @hand = @_; return(0) unless(@hand == 1 || @hand == 5); my $shrt; my $scor; my @crdz; my $set0; my $set1; my $kick;
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if($aflg) { $aref =  $hand[0]; }
  else      { $aref = \@hand;    }
  if(@{$aref} == 1) { $shrt = $aref->[0];       }
  else              { $shrt = ShortHand($aref); }
  if(defined($shrt) && length($shrt) < 5 && $shrt =~ /^\d+$/) { $scor = $shrt; $shrt = ScoreHand($scor); }
  else                                                        { $scor =                HandScore($shrt); }
  @crdz = ();@crdz = split(//, $shrt) if(defined($shrt));
  if     ($hnam =~ /^(High Card|Flush)$/) {
    $set0 = CardName($crdz[0]); $kick = CardName($crdz[1]);
    return("$set0 high, $kick kicker");
  } elsif($hnam eq 'One Pair') {
    for(1..4) {
      if($crdz[($_ - 1)] eq $crdz[$_]) {
        $set0 = CardName($crdz[$_]);
        if($_ == 1) { $kick = CardName($crdz[2]); }
        else        { $kick = CardName($crdz[0]); }
        last; }
    } return("$set0\'s, $kick kicker");
  } elsif($hnam eq 'Two Pair') {my $ndx0;
    for(1..4) {
      if($crdz[($_ - 1)] eq $crdz[$_]) {
        if(defined($set0)) {
          $set1 = CardName($crdz[$_]);
          if   ($_    == 3) { $kick = CardName($crdz[4]); }
          elsif($ndx0 == 1) { $kick = CardName($crdz[2]); }
          else              { $kick = CardName($crdz[0]); }
          last;
        } else {
          $set0 = CardName($crdz[$_]); $ndx0 = $_; } }
    } return("$set0\'s and $set1\'s, $kick kicker");
  } elsif($hnam eq 'Three-of-a-Kind') {
    for(1..3) {
      if($crdz[($_ - 1)] eq $crdz[$_] &&
         $crdz[($_ + 1)] eq $crdz[$_]) {
        $set0 = CardName($crdz[$_]);
        if($_ == 1) { $kick = CardName($crdz[3]); }
        else        { $kick = CardName($crdz[0]); }
        last; }
    } return("$set0\'s, $kick kicker");
  } elsif($hnam =~ /(^Straight|Flush$)/) {
    if($crdz[0] eq 'A' && $crdz[1] eq '5') {
      $set0 = CardName($crdz[1]);
      $set1 = CardName($crdz[0]);
    } else {
      $set0 = CardName($crdz[0]);
      $set1 = CardName($crdz[4]);
    } return("$set0 down to $set1");
  } elsif($hnam eq 'Full House') {
    if($crdz[1] eq $crdz[2]) {
      $set0 = CardName($crdz[2]);
      $set1 = CardName($crdz[3]);
    } else {
      $set0 = CardName($crdz[2]);
      $set1 = CardName($crdz[1]);
    } return("$set0\'s over $set1\'s");
  } elsif($hnam eq 'Four-of-a-Kind') {
    if($crdz[0] eq $crdz[1]) {
      $set0 = CardName($crdz[0]);
    } else {
      $set0 = CardName($crdz[1]);
    } return("$set0\'s");
  } return('!*EROR*! Hand Not Found!'); }
sub HandB64 { # takes a \@handref or @hand and returns b64 $hand
  my @hand = @_; return(0) unless(@hand >= 1); my $b64h = '';
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if($aflg) { $aref =  $hand[0]; }
  else      { $aref = \@hand;    }
  for(@{$aref}) { $b64h .= CardB64($_); }
  return($b64h); }
sub B64Hand { # takes a b64 $hand and returns @hand of abbrev. cards e.g., 'As'
  my $b64h = shift() || return(0); my @hand;
  for(split(//, $b64h)) { push(@hand, B64Card($_)); }
  return(@hand); }
sub HandDec { # takes a \@handref or @hand and returns dec $hand
  my @hand = @_; return(0) unless(@hand >= 1); my @dech = ();
  my $aflg = 0; $aflg = 1 if(ref($hand[0]) eq 'ARRAY'); my $aref;
  if($aflg) { $aref =  $hand[0]; }
  else      { $aref = \@hand;    }
  for(@{$aref}) { push(@dech, CardDec($_)); }
  return(@dech); }
sub DecHand { # takes a decimal @dech and returns a @hand of abbrev. cards
  my @dech = @_; return(0) unless(@dech >= 1); my @hand = ();
  my $aflg = 0; $aflg = 1 if(ref($dech[0]) eq 'ARRAY'); my $aref;
  if($aflg) { $aref =  $dech[0]; }
  else      { $aref = \@dech;    }
  for(@{$aref}) { push(@hand, DecCard($_)); }
  return(@hand); }
sub RemoveCard { # takes a card and an arrayref or list of items to remove from
  return(0) unless(@_); # must have at least one parameter
  my $card = shift();
     $card =  B64Card($card) if(length($card) == 1);
     $card = NameCard($card) if(       $card  =~ / of /);
  my $aflg = 0; $aflg = 1 if(ref($_[0]) eq 'ARRAY');
  my $size = 0; my $aref; my @data = @_;
  if($aflg) { $aref = $_[0];  }
  else      { $aref = \@data; }
  $size = @{$aref};
  for(my $indx = 0; $indx < $size; $indx++) {
    if($aref->[$indx] eq $card) { # found card...
      splice(@{$aref}, $indx, 1); #   so remove it
      last; } }
  if($aflg) { return($aref); }
  else      { return(@data); }}
sub WorstHand {my @crdz = @_;my @csrz; # takes some cards and returns worst possible ShortHand
  return(ShortHand(BestHand(BestIndices(@crdz), @crdz))) if(@crdz >= 5);
  my $aflg = 0; $aflg = 1 if(ref($crdz[0]) eq 'ARRAY'); my $aref; my $cshr;
  if   ($aflg    ) { $aref = $crdz[0]; $cshr = ShortHand(@{$aref});  }
  elsif(@crdz > 1) { $aref = \@crdz;   $cshr = ShortHand(@{$aref});  }
  else             {                   $cshr =             $crdz[0]; }
  $cshr =~ s/(..)s$/$1/;@csrz= split(//,$cshr); # strip suited flag if there && separate CardShortRankZ
  for(reverse(@{$pd8a{'hndz'}})){my $mflg=1; # setup match flag to validate for each card to fix bug 100391 of As 2s returning AA222 Full House
    for   my $cndx (0..$#csrz  ){my $mwid=1;
      for my $wndx (($cndx+1)..$#csrz){
        if($csrz[$cndx] eq $csrz[$wndx]){$mwid++;}else{last;}} # count up match width so pairs don't drop
      $mflg=0 unless(/$csrz[$cndx] {$mwid}/x);}
    return($_) if($mflg);}}
sub CountWays {my $summ = 0;my $ways; # counts the number of ways to get a particular set of hands (or holes or flops)
  my $blim = shift(); $blim = 7461 unless(defined($blim) && $blim < 7462);
  my $glim = shift(); $glim =    0 unless(defined($glim) && $glim < 7462);
  my $scop = shift() || 'hndz';if($scop ne 'hndz' && $blim > $#{$pd8a{$scop}}){$blim = $#{$pd8a{$scop}};} # if scope set to holz or flpz, adjust max BotmLimt
  for(@{$pd8a{$scop}}[$glim..$blim]){$ways=1;
    if   ($scop eq 'holz'){if(/^(.)\1  $/x){$ways=6;}                           elsif(/^..s$/ ){$ways=  4;}else                     {$ways=  12;}}
    elsif($scop eq 'flpz'){if(/^(.)\1\1$/ ){$ways=4;}elsif(/(.)\1/){$ways=24;}  elsif(/^...s$/){$ways=  4;}else                     {$ways=  60;}}
    else                  {my $name=HandName($_);
      if   ($name=~ /Flush/ ){$ways= 4;}elsif(/(.)\1\1\1/   ){$ways=  4;}elsif($name=~ /^Full/){$ways= 24;}elsif($name=~ /Straight/){$ways=1020;}
      elsif($name=~ /^Three/){$ways=64;}elsif($name=~ /^Two/){$ways=144;}elsif($name=~ /^One/ ){$ways=384;}else                     {$ways=1020;}}
    $summ += $ways;} # 'holz' => [ # ways for                                                            pair                6, suiteds 4, unsuiteds    12;
                     # 'flpz' => [ # ways for                                                   trips 4, pair plus kicker   24, suiteds 4, unsuiteds    60;
                     # 'hndz' => [ # royal&&str8&&any flush 4,quads+kikr 4,full houses 24,(plainflush 4 here in score ordr),str8s 1020, trips + 2 kikrs 64,
                     #                                                             2 pairs + kikr 144, 1 pair plus 3 kikrs 384, high card  unsuiteds  1020;
  return($summ);}
# NOTE: CalcOdds() doesn't work accurately yet... I'm just experimenting with some calculations in hopes of determining a thorough way to find any odds
sub CalcOdds { # calculate the odds of winning with certain cards
  my $hole = shift(); $hole =    0 unless(defined($hole) and
                      $hole < $pd8a{'coun'}{'shorthand_holes'});
  my $flop = shift(); $flop =   -1 unless(defined($flop) and
                      $flop < $pd8a{'coun'}{'shorthand_flops'});
  my $turn = shift(); $turn =   -1 unless(defined($turn) and
                      $turn <   13);
  my $rivr = shift(); $rivr =   -1 unless(defined($rivr) and
                      $rivr <   13);
  my $blim = 7461; my $glim =    0; my $scop = 'hndz'; my $odds = 0;
  $blim = HandScore(WorstHand($pd8a{'holz'}[$hole]));
 #$blim = 4;
 #$blim = $zloh{'AA'}; # 84.93%
 #$blim = $zloh{'22'}; # 49.39%
  my $ways = CountWays($blim);
 #print "glim:$glim\nblim:$blim\nways:$ways\n";
  for my $step ($glim..$blim) {
    my $coun = CountWays($step);
    my $lprt = CountWays($step,$step,$scop)     / $ways;
    my $bprt = CountWays($step,$step,$scop)     / $pd8a{'coun'}{'hands'};
    my $winp = ($pd8a{'coun'}{'hands'} - $coun) / $pd8a{'coun'}{'hands'};
    $odds += $lprt * $winp; #printf(" step:%4d lprt:%2.9f bprt:%2.9f winp:%2.9f odds:%2.9f\n", $step, $lprt, $bprt, $winp, $odds);
  } $odds  = abs(1 - (2 * (1 - $odds)));
  return($odds);}
sub FindNuts { # takes 3-5 board cards and returns list of best possible tied nuts holes remaining (should probably all oper8 on B64 deck,rm all crdz,rStchoo2)
  my $bord = shift(@_);return(0) unless(defined($bord) && length($bord) >= 3);my $b64d= join('','A'..'Z','a'..'z');
  for(split(//,$bord)){$b64d=~ s/$_//;} # just assume all packed B64 represent8ions for now
  my $choo = Algorithm::ChooseSubsets->new(length($b64d), 2);my %bstr;my $losc=7462;
  while(my $choi = $choo->next()){my $b6h0= substr($b64d,$choi->[0],1);my $b6h1= substr($b64d,$choi->[1],1);
    my @hand = (B64Card($b6h0),B64Card($b6h1));my $scor= HandScore(BestHand(@hand,B64Hand($bord))); # && assume bord of 5 for now
    if($scor <= $losc){$losc=$scor;push(@{$bstr{$losc}},"$b6h0$b6h1"); # try to only update for new or tied for lowest score
#     printf("pushd losc:%4d b64h:$b6h0$b6h1 bstr:%s\n",$losc,join(' ',@{$bstr{$losc}})); # not sure why bstr array must be joined or tail is lost
    }} # it seems that way too many are getting lowest score 0 && not enough have more than 1 match, but maybe d8a skews high && picking any best hole is gr8
  for(sort { $a <=> $b } keys(%bstr)){return($_,scalar(@{$bstr{$_}}),join(' ',@{$bstr{$_}}));}} # figure out why more than 5 cards in bord return all 7462
%pd8a = ( # Global Poker Data    # possible ShortHand holes, flops, and hands (which used to include much redundant ways data that is now generated as needed)
  'holz' => [ qw(
     AA  AKs AK  AQs AQ  AJs AJ  ATs AT  A9s A9  A8s A8  A7s A7  A6s A6  A5s A5  A4s A4  A3s A3  A2s A2  KK  KQs KQ  KJs KJ  KTs KT  K9s K9  K8s K8  K7s K7
     K6s K6  K5s K5  K4s K4  K3s K3  K2s K2  QQ  QJs QJ  QTs QT  Q9s Q9  Q8s Q8  Q7s Q7  Q6s Q6  Q5s Q5  Q4s Q4  Q3s Q3  Q2s Q2  JJ  JTs JT  J9s J9  J8s J8
     J7s J7  J6s J6  J5s J5  J4s J4  J3s J3  J2s J2  TT  T9s T9  T8s T8  T7s T7  T6s T6  T5s T5  T4s T4  T3s T3  T2s T2  99  98s 98  97s 97  96s 96  95s 95
     94s 94  93s 93  92s 92  88  87s 87  86s 86  85s 85  84s 84  83s 83  82s 82  77  76s 76  75s 75  74s 74  73s 73  72s 72  66  65s 65  64s 64  63s 63  62s
     62  55  54s 54  53s 53  52s 52  44  43s 43  42s 42  33  32s 32  22  ) ],
  'flpz' => [ qw(
     AAA  AAK  AAQ  AAJ  AAT  AA9  AA8  AA7  AA6  AA5  AA4  AA3  AA2  AKK  AKQs AKQ  AKJs AKJ  AKTs AKT  AK9s AK9  AK8s AK8  AK7s AK7  AK6s AK6  AK5s AK5
     AK4s AK4  AK3s AK3  AK2s AK2  AQQ  AQJs AQJ  AQTs AQT  AQ9s AQ9  AQ8s AQ8  AQ7s AQ7  AQ6s AQ6  AQ5s AQ5  AQ4s AQ4  AQ3s AQ3  AQ2s AQ2  AJJ  AJTs AJT
     AJ9s AJ9  AJ8s AJ8  AJ7s AJ7  AJ6s AJ6  AJ5s AJ5  AJ4s AJ4  AJ3s AJ3  AJ2s AJ2  ATT  AT9s AT9  AT8s AT8  AT7s AT7  AT6s AT6  AT5s AT5  AT4s AT4  AT3s
     AT3  AT2s AT2  A99  A98s A98  A97s A97  A96s A96  A95s A95  A94s A94  A93s A93  A92s A92  A88  A87s A87  A86s A86  A85s A85  A84s A84  A83s A83  A82s
     A82  A77  A76s A76  A75s A75  A74s A74  A73s A73  A72s A72  A66  A65s A65  A64s A64  A63s A63  A62s A62  A55  A54s A54  A53s A53  A52s A52  A44  A43s
     A43  A42s A42  A33  A32s A32  A22  KKK  KKQ  KKJ  KKT  KK9  KK8  KK7  KK6  KK5  KK4  KK3  KK2  KQQ  KQJs KQJ  KQTs KQT  KQ9s KQ9  KQ8s KQ8  KQ7s KQ7
     KQ6s KQ6  KQ5s KQ5  KQ4s KQ4  KQ3s KQ3  KQ2s KQ2  KJJ  KJTs KJT  KJ9s KJ9  KJ8s KJ8  KJ7s KJ7  KJ6s KJ6  KJ5s KJ5  KJ4s KJ4  KJ3s KJ3  KJ2s KJ2  KTT
     KT9s KT9  KT8s KT8  KT7s KT7  KT6s KT6  KT5s KT5  KT4s KT4  KT3s KT3  KT2s KT2  K99  K98s K98  K97s K97  K96s K96  K95s K95  K94s K94  K93s K93  K92s
     K92  K88  K87s K87  K86s K86  K85s K85  K84s K84  K83s K83  K82s K82  K77  K76s K76  K75s K75  K74s K74  K73s K73  K72s K72  K66  K65s K65  K64s K64
     K63s K63  K62s K62  K55  K54s K54  K53s K53  K52s K52  K44  K43s K43  K42s K42  K33  K32s K32  K22  QQQ  QQJ  QQT  QQ9  QQ8  QQ7  QQ6  QQ5  QQ4  QQ3
     QQ2  QJJ  QJTs QJT  QJ9s QJ9  QJ8s QJ8  QJ7s QJ7  QJ6s QJ6  QJ5s QJ5  QJ4s QJ4  QJ3s QJ3  QJ2s QJ2  QTT  QT9s QT9  QT8s QT8  QT7s QT7  QT6s QT6  QT5s
     QT5  QT4s QT4  QT3s QT3  QT2s QT2  Q99  Q98s Q98  Q97s Q97  Q96s Q96  Q95s Q95  Q94s Q94  Q93s Q93  Q92s Q92  Q88  Q87s Q87  Q86s Q86  Q85s Q85  Q84s
     Q84  Q83s Q83  Q82s Q82  Q77  Q76s Q76  Q75s Q75  Q74s Q74  Q73s Q73  Q72s Q72  Q66  Q65s Q65  Q64s Q64  Q63s Q63  Q62s Q62  Q55  Q54s Q54  Q53s Q53
     Q52s Q52  Q44  Q43s Q43  Q42s Q42  Q33  Q32s Q32  Q22  JJJ  JJT  JJ9  JJ8  JJ7  JJ6  JJ5  JJ4  JJ3  JJ2  JTT  JT9s JT9  JT8s JT8  JT7s JT7  JT6s JT6
     JT5s JT5  JT4s JT4  JT3s JT3  JT2s JT2  J99  J98s J98  J97s J97  J96s J96  J95s J95  J94s J94  J93s J93  J92s J92  J88  J87s J87  J86s J86  J85s J85
     J84s J84  J83s J83  J82s J82  J77  J76s J76  J75s J75  J74s J74  J73s J73  J72s J72  J66  J65s J65  J64s J64  J63s J63  J62s J62  J55  J54s J54  J53s
     J53  J52s J52  J44  J43s J43  J42s J42  J33  J32s J32  J22  TTT  TT9  TT8  TT7  TT6  TT5  TT4  TT3  TT2  T99  T98s T98  T97s T97  T96s T96  T95s T95
     T94s T94  T93s T93  T92s T92  T88  T87s T87  T86s T86  T85s T85  T84s T84  T83s T83  T82s T82  T77  T76s T76  T75s T75  T74s T74  T73s T73  T72s T72
     T66  T65s T65  T64s T64  T63s T63  T62s T62  T55  T54s T54  T53s T53  T52s T52  T44  T43s T43  T42s T42  T33  T32s T32  T22  999  998  997  996  995
     994  993  992  988  987s 987  986s 986  985s 985  984s 984  983s 983  982s 982  977  976s 976  975s 975  974s 974  973s 973  972s 972  966  965s 965
     964s 964  963s 963  962s 962  955  954s 954  953s 953  952s 952  944  943s 943  942s 942  933  932s 932  922  888  887  886  885  884  883  882  877
     876s 876  875s 875  874s 874  873s 873  872s 872  866  865s 865  864s 864  863s 863  862s 862  855  854s 854  853s 853  852s 852  844  843s 843  842s
     842  833  832s 832  822  777  776  775  774  773  772  766  765s 765  764s 764  763s 763  762s 762  755  754s 754  753s 753  752s 752  744  743s 743
     742s 742  733  732s 732  722  666  665  664  663  662  655  654s 654  653s 653  652s 652  644  643s 643  642s 642  633  632s 632  622  555  554  553
     552  544  543s 543  542s 542  533  532s 532  522  444  443  442  433  432s 432  422  333  332  322  222  ) ],
  'hndz' => [ qw(
     AKQJTs KQJT9s QJT98s JT987s T9876s 98765s 87654s 76543s 65432s A5432s AAAAK  AAAAQ  AAAAJ  AAAAT  AAAA9  AAAA8  AAAA7  AAAA6  AAAA5  AAAA4  AAAA3  AAAA2
     AKKKK  KKKKQ  KKKKJ  KKKKT  KKKK9  KKKK8  KKKK7  KKKK6  KKKK5  KKKK4  KKKK3  KKKK2  AQQQQ  KQQQQ  QQQQJ  QQQQT  QQQQ9  QQQQ8  QQQQ7  QQQQ6  QQQQ5  QQQQ4
     QQQQ3  QQQQ2  AJJJJ  KJJJJ  QJJJJ  JJJJT  JJJJ9  JJJJ8  JJJJ7  JJJJ6  JJJJ5  JJJJ4  JJJJ3  JJJJ2  ATTTT  KTTTT  QTTTT  JTTTT  TTTT9  TTTT8  TTTT7  TTTT6
     TTTT5  TTTT4  TTTT3  TTTT2  A9999  K9999  Q9999  J9999  T9999  99998  99997  99996  99995  99994  99993  99992  A8888  K8888  Q8888  J8888  T8888  98888
     88887  88886  88885  88884  88883  88882  A7777  K7777  Q7777  J7777  T7777  97777  87777  77776  77775  77774  77773  77772  A6666  K6666  Q6666  J6666
     T6666  96666  86666  76666  66665  66664  66663  66662  A5555  K5555  Q5555  J5555  T5555  95555  85555  75555  65555  55554  55553  55552  A4444  K4444
     Q4444  J4444  T4444  94444  84444  74444  64444  54444  44443  44442  A3333  K3333  Q3333  J3333  T3333  93333  83333  73333  63333  53333  43333  33332
     A2222  K2222  Q2222  J2222  T2222  92222  82222  72222  62222  52222  42222  32222  AAAKK  AAAQQ  AAAJJ  AAATT  AAA99  AAA88  AAA77  AAA66  AAA55  AAA44
     AAA33  AAA22  AAKKK  KKKQQ  KKKJJ  KKKTT  KKK99  KKK88  KKK77  KKK66  KKK55  KKK44  KKK33  KKK22  AAQQQ  KKQQQ  QQQJJ  QQQTT  QQQ99  QQQ88  QQQ77  QQQ66
     QQQ55  QQQ44  QQQ33  QQQ22  AAJJJ  KKJJJ  QQJJJ  JJJTT  JJJ99  JJJ88  JJJ77  JJJ66  JJJ55  JJJ44  JJJ33  JJJ22  AATTT  KKTTT  QQTTT  JJTTT  TTT99  TTT88
     TTT77  TTT66  TTT55  TTT44  TTT33  TTT22  AA999  KK999  QQ999  JJ999  TT999  99988  99977  99966  99955  99944  99933  99922  AA888  KK888  QQ888  JJ888
     TT888  99888  88877  88866  88855  88844  88833  88822  AA777  KK777  QQ777  JJ777  TT777  99777  88777  77766  77755  77744  77733  77722  AA666  KK666
     QQ666  JJ666  TT666  99666  88666  77666  66655  66644  66633  66622  AA555  KK555  QQ555  JJ555  TT555  99555  88555  77555  66555  55544  55533  55522
     AA444  KK444  QQ444  JJ444  TT444  99444  88444  77444  66444  55444  44433  44422  AA333  KK333  QQ333  JJ333  TT333  99333  88333  77333  66333  55333
     44333  33322  AA222  KK222  QQ222  JJ222  TT222  99222  88222  77222  66222  55222  44222  33222  AKQJ9s AKQJ8s AKQJ7s AKQJ6s AKQJ5s AKQJ4s AKQJ3s AKQJ2s
     AKQT9s AKQT8s AKQT7s AKQT6s AKQT5s AKQT4s AKQT3s AKQT2s AKQ98s AKQ97s AKQ96s AKQ95s AKQ94s AKQ93s AKQ92s AKQ87s AKQ86s AKQ85s AKQ84s AKQ83s AKQ82s AKQ76s
     AKQ75s AKQ74s AKQ73s AKQ72s AKQ65s AKQ64s AKQ63s AKQ62s AKQ54s AKQ53s AKQ52s AKQ43s AKQ42s AKQ32s AKJT9s AKJT8s AKJT7s AKJT6s AKJT5s AKJT4s AKJT3s AKJT2s
     AKJ98s AKJ97s AKJ96s AKJ95s AKJ94s AKJ93s AKJ92s AKJ87s AKJ86s AKJ85s AKJ84s AKJ83s AKJ82s AKJ76s AKJ75s AKJ74s AKJ73s AKJ72s AKJ65s AKJ64s AKJ63s AKJ62s
     AKJ54s AKJ53s AKJ52s AKJ43s AKJ42s AKJ32s AKT98s AKT97s AKT96s AKT95s AKT94s AKT93s AKT92s AKT87s AKT86s AKT85s AKT84s AKT83s AKT82s AKT76s AKT75s AKT74s
     AKT73s AKT72s AKT65s AKT64s AKT63s AKT62s AKT54s AKT53s AKT52s AKT43s AKT42s AKT32s AK987s AK986s AK985s AK984s AK983s AK982s AK976s AK975s AK974s AK973s
     AK972s AK965s AK964s AK963s AK962s AK954s AK953s AK952s AK943s AK942s AK932s AK876s AK875s AK874s AK873s AK872s AK865s AK864s AK863s AK862s AK854s AK853s
     AK852s AK843s AK842s AK832s AK765s AK764s AK763s AK762s AK754s AK753s AK752s AK743s AK742s AK732s AK654s AK653s AK652s AK643s AK642s AK632s AK543s AK542s
     AK532s AK432s AQJT9s AQJT8s AQJT7s AQJT6s AQJT5s AQJT4s AQJT3s AQJT2s AQJ98s AQJ97s AQJ96s AQJ95s AQJ94s AQJ93s AQJ92s AQJ87s AQJ86s AQJ85s AQJ84s AQJ83s
     AQJ82s AQJ76s AQJ75s AQJ74s AQJ73s AQJ72s AQJ65s AQJ64s AQJ63s AQJ62s AQJ54s AQJ53s AQJ52s AQJ43s AQJ42s AQJ32s AQT98s AQT97s AQT96s AQT95s AQT94s AQT93s
     AQT92s AQT87s AQT86s AQT85s AQT84s AQT83s AQT82s AQT76s AQT75s AQT74s AQT73s AQT72s AQT65s AQT64s AQT63s AQT62s AQT54s AQT53s AQT52s AQT43s AQT42s AQT32s
     AQ987s AQ986s AQ985s AQ984s AQ983s AQ982s AQ976s AQ975s AQ974s AQ973s AQ972s AQ965s AQ964s AQ963s AQ962s AQ954s AQ953s AQ952s AQ943s AQ942s AQ932s AQ876s
     AQ875s AQ874s AQ873s AQ872s AQ865s AQ864s AQ863s AQ862s AQ854s AQ853s AQ852s AQ843s AQ842s AQ832s AQ765s AQ764s AQ763s AQ762s AQ754s AQ753s AQ752s AQ743s
     AQ742s AQ732s AQ654s AQ653s AQ652s AQ643s AQ642s AQ632s AQ543s AQ542s AQ532s AQ432s AJT98s AJT97s AJT96s AJT95s AJT94s AJT93s AJT92s AJT87s AJT86s AJT85s
     AJT84s AJT83s AJT82s AJT76s AJT75s AJT74s AJT73s AJT72s AJT65s AJT64s AJT63s AJT62s AJT54s AJT53s AJT52s AJT43s AJT42s AJT32s AJ987s AJ986s AJ985s AJ984s
     AJ983s AJ982s AJ976s AJ975s AJ974s AJ973s AJ972s AJ965s AJ964s AJ963s AJ962s AJ954s AJ953s AJ952s AJ943s AJ942s AJ932s AJ876s AJ875s AJ874s AJ873s AJ872s
     AJ865s AJ864s AJ863s AJ862s AJ854s AJ853s AJ852s AJ843s AJ842s AJ832s AJ765s AJ764s AJ763s AJ762s AJ754s AJ753s AJ752s AJ743s AJ742s AJ732s AJ654s AJ653s
     AJ652s AJ643s AJ642s AJ632s AJ543s AJ542s AJ532s AJ432s AT987s AT986s AT985s AT984s AT983s AT982s AT976s AT975s AT974s AT973s AT972s AT965s AT964s AT963s
     AT962s AT954s AT953s AT952s AT943s AT942s AT932s AT876s AT875s AT874s AT873s AT872s AT865s AT864s AT863s AT862s AT854s AT853s AT852s AT843s AT842s AT832s
     AT765s AT764s AT763s AT762s AT754s AT753s AT752s AT743s AT742s AT732s AT654s AT653s AT652s AT643s AT642s AT632s AT543s AT542s AT532s AT432s A9876s A9875s
     A9874s A9873s A9872s A9865s A9864s A9863s A9862s A9854s A9853s A9852s A9843s A9842s A9832s A9765s A9764s A9763s A9762s A9754s A9753s A9752s A9743s A9742s
     A9732s A9654s A9653s A9652s A9643s A9642s A9632s A9543s A9542s A9532s A9432s A8765s A8764s A8763s A8762s A8754s A8753s A8752s A8743s A8742s A8732s A8654s
     A8653s A8652s A8643s A8642s A8632s A8543s A8542s A8532s A8432s A7654s A7653s A7652s A7643s A7642s A7632s A7543s A7542s A7532s A7432s A6543s A6542s A6532s
     A6432s KQJT8s KQJT7s KQJT6s KQJT5s KQJT4s KQJT3s KQJT2s KQJ98s KQJ97s KQJ96s KQJ95s KQJ94s KQJ93s KQJ92s KQJ87s KQJ86s KQJ85s KQJ84s KQJ83s KQJ82s KQJ76s
     KQJ75s KQJ74s KQJ73s KQJ72s KQJ65s KQJ64s KQJ63s KQJ62s KQJ54s KQJ53s KQJ52s KQJ43s KQJ42s KQJ32s KQT98s KQT97s KQT96s KQT95s KQT94s KQT93s KQT92s KQT87s
     KQT86s KQT85s KQT84s KQT83s KQT82s KQT76s KQT75s KQT74s KQT73s KQT72s KQT65s KQT64s KQT63s KQT62s KQT54s KQT53s KQT52s KQT43s KQT42s KQT32s KQ987s KQ986s
     KQ985s KQ984s KQ983s KQ982s KQ976s KQ975s KQ974s KQ973s KQ972s KQ965s KQ964s KQ963s KQ962s KQ954s KQ953s KQ952s KQ943s KQ942s KQ932s KQ876s KQ875s KQ874s
     KQ873s KQ872s KQ865s KQ864s KQ863s KQ862s KQ854s KQ853s KQ852s KQ843s KQ842s KQ832s KQ765s KQ764s KQ763s KQ762s KQ754s KQ753s KQ752s KQ743s KQ742s KQ732s
     KQ654s KQ653s KQ652s KQ643s KQ642s KQ632s KQ543s KQ542s KQ532s KQ432s KJT98s KJT97s KJT96s KJT95s KJT94s KJT93s KJT92s KJT87s KJT86s KJT85s KJT84s KJT83s
     KJT82s KJT76s KJT75s KJT74s KJT73s KJT72s KJT65s KJT64s KJT63s KJT62s KJT54s KJT53s KJT52s KJT43s KJT42s KJT32s KJ987s KJ986s KJ985s KJ984s KJ983s KJ982s
     KJ976s KJ975s KJ974s KJ973s KJ972s KJ965s KJ964s KJ963s KJ962s KJ954s KJ953s KJ952s KJ943s KJ942s KJ932s KJ876s KJ875s KJ874s KJ873s KJ872s KJ865s KJ864s
     KJ863s KJ862s KJ854s KJ853s KJ852s KJ843s KJ842s KJ832s KJ765s KJ764s KJ763s KJ762s KJ754s KJ753s KJ752s KJ743s KJ742s KJ732s KJ654s KJ653s KJ652s KJ643s
     KJ642s KJ632s KJ543s KJ542s KJ532s KJ432s KT987s KT986s KT985s KT984s KT983s KT982s KT976s KT975s KT974s KT973s KT972s KT965s KT964s KT963s KT962s KT954s
     KT953s KT952s KT943s KT942s KT932s KT876s KT875s KT874s KT873s KT872s KT865s KT864s KT863s KT862s KT854s KT853s KT852s KT843s KT842s KT832s KT765s KT764s
     KT763s KT762s KT754s KT753s KT752s KT743s KT742s KT732s KT654s KT653s KT652s KT643s KT642s KT632s KT543s KT542s KT532s KT432s K9876s K9875s K9874s K9873s
     K9872s K9865s K9864s K9863s K9862s K9854s K9853s K9852s K9843s K9842s K9832s K9765s K9764s K9763s K9762s K9754s K9753s K9752s K9743s K9742s K9732s K9654s
     K9653s K9652s K9643s K9642s K9632s K9543s K9542s K9532s K9432s K8765s K8764s K8763s K8762s K8754s K8753s K8752s K8743s K8742s K8732s K8654s K8653s K8652s
     K8643s K8642s K8632s K8543s K8542s K8532s K8432s K7654s K7653s K7652s K7643s K7642s K7632s K7543s K7542s K7532s K7432s K6543s K6542s K6532s K6432s K5432s
     QJT97s QJT96s QJT95s QJT94s QJT93s QJT92s QJT87s QJT86s QJT85s QJT84s QJT83s QJT82s QJT76s QJT75s QJT74s QJT73s QJT72s QJT65s QJT64s QJT63s QJT62s QJT54s
     QJT53s QJT52s QJT43s QJT42s QJT32s QJ987s QJ986s QJ985s QJ984s QJ983s QJ982s QJ976s QJ975s QJ974s QJ973s QJ972s QJ965s QJ964s QJ963s QJ962s QJ954s QJ953s
     QJ952s QJ943s QJ942s QJ932s QJ876s QJ875s QJ874s QJ873s QJ872s QJ865s QJ864s QJ863s QJ862s QJ854s QJ853s QJ852s QJ843s QJ842s QJ832s QJ765s QJ764s QJ763s
     QJ762s QJ754s QJ753s QJ752s QJ743s QJ742s QJ732s QJ654s QJ653s QJ652s QJ643s QJ642s QJ632s QJ543s QJ542s QJ532s QJ432s QT987s QT986s QT985s QT984s QT983s
     QT982s QT976s QT975s QT974s QT973s QT972s QT965s QT964s QT963s QT962s QT954s QT953s QT952s QT943s QT942s QT932s QT876s QT875s QT874s QT873s QT872s QT865s
     QT864s QT863s QT862s QT854s QT853s QT852s QT843s QT842s QT832s QT765s QT764s QT763s QT762s QT754s QT753s QT752s QT743s QT742s QT732s QT654s QT653s QT652s
     QT643s QT642s QT632s QT543s QT542s QT532s QT432s Q9876s Q9875s Q9874s Q9873s Q9872s Q9865s Q9864s Q9863s Q9862s Q9854s Q9853s Q9852s Q9843s Q9842s Q9832s
     Q9765s Q9764s Q9763s Q9762s Q9754s Q9753s Q9752s Q9743s Q9742s Q9732s Q9654s Q9653s Q9652s Q9643s Q9642s Q9632s Q9543s Q9542s Q9532s Q9432s Q8765s Q8764s
     Q8763s Q8762s Q8754s Q8753s Q8752s Q8743s Q8742s Q8732s Q8654s Q8653s Q8652s Q8643s Q8642s Q8632s Q8543s Q8542s Q8532s Q8432s Q7654s Q7653s Q7652s Q7643s
     Q7642s Q7632s Q7543s Q7542s Q7532s Q7432s Q6543s Q6542s Q6532s Q6432s Q5432s JT986s JT985s JT984s JT983s JT982s JT976s JT975s JT974s JT973s JT972s JT965s
     JT964s JT963s JT962s JT954s JT953s JT952s JT943s JT942s JT932s JT876s JT875s JT874s JT873s JT872s JT865s JT864s JT863s JT862s JT854s JT853s JT852s JT843s
     JT842s JT832s JT765s JT764s JT763s JT762s JT754s JT753s JT752s JT743s JT742s JT732s JT654s JT653s JT652s JT643s JT642s JT632s JT543s JT542s JT532s JT432s
     J9876s J9875s J9874s J9873s J9872s J9865s J9864s J9863s J9862s J9854s J9853s J9852s J9843s J9842s J9832s J9765s J9764s J9763s J9762s J9754s J9753s J9752s
     J9743s J9742s J9732s J9654s J9653s J9652s J9643s J9642s J9632s J9543s J9542s J9532s J9432s J8765s J8764s J8763s J8762s J8754s J8753s J8752s J8743s J8742s
     J8732s J8654s J8653s J8652s J8643s J8642s J8632s J8543s J8542s J8532s J8432s J7654s J7653s J7652s J7643s J7642s J7632s J7543s J7542s J7532s J7432s J6543s
     J6542s J6532s J6432s J5432s T9875s T9874s T9873s T9872s T9865s T9864s T9863s T9862s T9854s T9853s T9852s T9843s T9842s T9832s T9765s T9764s T9763s T9762s
     T9754s T9753s T9752s T9743s T9742s T9732s T9654s T9653s T9652s T9643s T9642s T9632s T9543s T9542s T9532s T9432s T8765s T8764s T8763s T8762s T8754s T8753s
     T8752s T8743s T8742s T8732s T8654s T8653s T8652s T8643s T8642s T8632s T8543s T8542s T8532s T8432s T7654s T7653s T7652s T7643s T7642s T7632s T7543s T7542s
     T7532s T7432s T6543s T6542s T6532s T6432s T5432s 98764s 98763s 98762s 98754s 98753s 98752s 98743s 98742s 98732s 98654s 98653s 98652s 98643s 98642s 98632s
     98543s 98542s 98532s 98432s 97654s 97653s 97652s 97643s 97642s 97632s 97543s 97542s 97532s 97432s 96543s 96542s 96532s 96432s 95432s 87653s 87652s 87643s
     87642s 87632s 87543s 87542s 87532s 87432s 86543s 86542s 86532s 86432s 85432s 76542s 76532s 76432s 75432s AKQJT  KQJT9  QJT98  JT987  T9876  98765  87654
     76543  65432  A5432  AAAKQ  AAAKJ  AAAKT  AAAK9  AAAK8  AAAK7  AAAK6  AAAK5  AAAK4  AAAK3  AAAK2  AAAQJ  AAAQT  AAAQ9  AAAQ8  AAAQ7  AAAQ6  AAAQ5  AAAQ4
     AAAQ3  AAAQ2  AAAJT  AAAJ9  AAAJ8  AAAJ7  AAAJ6  AAAJ5  AAAJ4  AAAJ3  AAAJ2  AAAT9  AAAT8  AAAT7  AAAT6  AAAT5  AAAT4  AAAT3  AAAT2  AAA98  AAA97  AAA96
     AAA95  AAA94  AAA93  AAA92  AAA87  AAA86  AAA85  AAA84  AAA83  AAA82  AAA76  AAA75  AAA74  AAA73  AAA72  AAA65  AAA64  AAA63  AAA62  AAA54  AAA53  AAA52
     AAA43  AAA42  AAA32  AKKKQ  AKKKJ  AKKKT  AKKK9  AKKK8  AKKK7  AKKK6  AKKK5  AKKK4  AKKK3  AKKK2  KKKQJ  KKKQT  KKKQ9  KKKQ8  KKKQ7  KKKQ6  KKKQ5  KKKQ4
     KKKQ3  KKKQ2  KKKJT  KKKJ9  KKKJ8  KKKJ7  KKKJ6  KKKJ5  KKKJ4  KKKJ3  KKKJ2  KKKT9  KKKT8  KKKT7  KKKT6  KKKT5  KKKT4  KKKT3  KKKT2  KKK98  KKK97  KKK96
     KKK95  KKK94  KKK93  KKK92  KKK87  KKK86  KKK85  KKK84  KKK83  KKK82  KKK76  KKK75  KKK74  KKK73  KKK72  KKK65  KKK64  KKK63  KKK62  KKK54  KKK53  KKK52
     KKK43  KKK42  KKK32  AKQQQ  AQQQJ  AQQQT  AQQQ9  AQQQ8  AQQQ7  AQQQ6  AQQQ5  AQQQ4  AQQQ3  AQQQ2  KQQQJ  KQQQT  KQQQ9  KQQQ8  KQQQ7  KQQQ6  KQQQ5  KQQQ4
     KQQQ3  KQQQ2  QQQJT  QQQJ9  QQQJ8  QQQJ7  QQQJ6  QQQJ5  QQQJ4  QQQJ3  QQQJ2  QQQT9  QQQT8  QQQT7  QQQT6  QQQT5  QQQT4  QQQT3  QQQT2  QQQ98  QQQ97  QQQ96
     QQQ95  QQQ94  QQQ93  QQQ92  QQQ87  QQQ86  QQQ85  QQQ84  QQQ83  QQQ82  QQQ76  QQQ75  QQQ74  QQQ73  QQQ72  QQQ65  QQQ64  QQQ63  QQQ62  QQQ54  QQQ53  QQQ52
     QQQ43  QQQ42  QQQ32  AKJJJ  AQJJJ  AJJJT  AJJJ9  AJJJ8  AJJJ7  AJJJ6  AJJJ5  AJJJ4  AJJJ3  AJJJ2  KQJJJ  KJJJT  KJJJ9  KJJJ8  KJJJ7  KJJJ6  KJJJ5  KJJJ4
     KJJJ3  KJJJ2  QJJJT  QJJJ9  QJJJ8  QJJJ7  QJJJ6  QJJJ5  QJJJ4  QJJJ3  QJJJ2  JJJT9  JJJT8  JJJT7  JJJT6  JJJT5  JJJT4  JJJT3  JJJT2  JJJ98  JJJ97  JJJ96
     JJJ95  JJJ94  JJJ93  JJJ92  JJJ87  JJJ86  JJJ85  JJJ84  JJJ83  JJJ82  JJJ76  JJJ75  JJJ74  JJJ73  JJJ72  JJJ65  JJJ64  JJJ63  JJJ62  JJJ54  JJJ53  JJJ52
     JJJ43  JJJ42  JJJ32  AKTTT  AQTTT  AJTTT  ATTT9  ATTT8  ATTT7  ATTT6  ATTT5  ATTT4  ATTT3  ATTT2  KQTTT  KJTTT  KTTT9  KTTT8  KTTT7  KTTT6  KTTT5  KTTT4
     KTTT3  KTTT2  QJTTT  QTTT9  QTTT8  QTTT7  QTTT6  QTTT5  QTTT4  QTTT3  QTTT2  JTTT9  JTTT8  JTTT7  JTTT6  JTTT5  JTTT4  JTTT3  JTTT2  TTT98  TTT97  TTT96
     TTT95  TTT94  TTT93  TTT92  TTT87  TTT86  TTT85  TTT84  TTT83  TTT82  TTT76  TTT75  TTT74  TTT73  TTT72  TTT65  TTT64  TTT63  TTT62  TTT54  TTT53  TTT52
     TTT43  TTT42  TTT32  AK999  AQ999  AJ999  AT999  A9998  A9997  A9996  A9995  A9994  A9993  A9992  KQ999  KJ999  KT999  K9998  K9997  K9996  K9995  K9994
     K9993  K9992  QJ999  QT999  Q9998  Q9997  Q9996  Q9995  Q9994  Q9993  Q9992  JT999  J9998  J9997  J9996  J9995  J9994  J9993  J9992  T9998  T9997  T9996
     T9995  T9994  T9993  T9992  99987  99986  99985  99984  99983  99982  99976  99975  99974  99973  99972  99965  99964  99963  99962  99954  99953  99952
     99943  99942  99932  AK888  AQ888  AJ888  AT888  A9888  A8887  A8886  A8885  A8884  A8883  A8882  KQ888  KJ888  KT888  K9888  K8887  K8886  K8885  K8884
     K8883  K8882  QJ888  QT888  Q9888  Q8887  Q8886  Q8885  Q8884  Q8883  Q8882  JT888  J9888  J8887  J8886  J8885  J8884  J8883  J8882  T9888  T8887  T8886
     T8885  T8884  T8883  T8882  98887  98886  98885  98884  98883  98882  88876  88875  88874  88873  88872  88865  88864  88863  88862  88854  88853  88852
     88843  88842  88832  AK777  AQ777  AJ777  AT777  A9777  A8777  A7776  A7775  A7774  A7773  A7772  KQ777  KJ777  KT777  K9777  K8777  K7776  K7775  K7774
     K7773  K7772  QJ777  QT777  Q9777  Q8777  Q7776  Q7775  Q7774  Q7773  Q7772  JT777  J9777  J8777  J7776  J7775  J7774  J7773  J7772  T9777  T8777  T7776
     T7775  T7774  T7773  T7772  98777  97776  97775  97774  97773  97772  87776  87775  87774  87773  87772  77765  77764  77763  77762  77754  77753  77752
     77743  77742  77732  AK666  AQ666  AJ666  AT666  A9666  A8666  A7666  A6665  A6664  A6663  A6662  KQ666  KJ666  KT666  K9666  K8666  K7666  K6665  K6664
     K6663  K6662  QJ666  QT666  Q9666  Q8666  Q7666  Q6665  Q6664  Q6663  Q6662  JT666  J9666  J8666  J7666  J6665  J6664  J6663  J6662  T9666  T8666  T7666
     T6665  T6664  T6663  T6662  98666  97666  96665  96664  96663  96662  87666  86665  86664  86663  86662  76665  76664  76663  76662  66654  66653  66652
     66643  66642  66632  AK555  AQ555  AJ555  AT555  A9555  A8555  A7555  A6555  A5554  A5553  A5552  KQ555  KJ555  KT555  K9555  K8555  K7555  K6555  K5554
     K5553  K5552  QJ555  QT555  Q9555  Q8555  Q7555  Q6555  Q5554  Q5553  Q5552  JT555  J9555  J8555  J7555  J6555  J5554  J5553  J5552  T9555  T8555  T7555
     T6555  T5554  T5553  T5552  98555  97555  96555  95554  95553  95552  87555  86555  85554  85553  85552  76555  75554  75553  75552  65554  65553  65552
     55543  55542  55532  AK444  AQ444  AJ444  AT444  A9444  A8444  A7444  A6444  A5444  A4443  A4442  KQ444  KJ444  KT444  K9444  K8444  K7444  K6444  K5444
     K4443  K4442  QJ444  QT444  Q9444  Q8444  Q7444  Q6444  Q5444  Q4443  Q4442  JT444  J9444  J8444  J7444  J6444  J5444  J4443  J4442  T9444  T8444  T7444
     T6444  T5444  T4443  T4442  98444  97444  96444  95444  94443  94442  87444  86444  85444  84443  84442  76444  75444  74443  74442  65444  64443  64442
     54443  54442  44432  AK333  AQ333  AJ333  AT333  A9333  A8333  A7333  A6333  A5333  A4333  A3332  KQ333  KJ333  KT333  K9333  K8333  K7333  K6333  K5333
     K4333  K3332  QJ333  QT333  Q9333  Q8333  Q7333  Q6333  Q5333  Q4333  Q3332  JT333  J9333  J8333  J7333  J6333  J5333  J4333  J3332  T9333  T8333  T7333
     T6333  T5333  T4333  T3332  98333  97333  96333  95333  94333  93332  87333  86333  85333  84333  83332  76333  75333  74333  73332  65333  64333  63332
     54333  53332  43332  AK222  AQ222  AJ222  AT222  A9222  A8222  A7222  A6222  A5222  A4222  A3222  KQ222  KJ222  KT222  K9222  K8222  K7222  K6222  K5222
     K4222  K3222  QJ222  QT222  Q9222  Q8222  Q7222  Q6222  Q5222  Q4222  Q3222  JT222  J9222  J8222  J7222  J6222  J5222  J4222  J3222  T9222  T8222  T7222
     T6222  T5222  T4222  T3222  98222  97222  96222  95222  94222  93222  87222  86222  85222  84222  83222  76222  75222  74222  73222  65222  64222  63222
     54222  53222  43222  AAKKQ  AAKKJ  AAKKT  AAKK9  AAKK8  AAKK7  AAKK6  AAKK5  AAKK4  AAKK3  AAKK2  AAKQQ  AAQQJ  AAQQT  AAQQ9  AAQQ8  AAQQ7  AAQQ6  AAQQ5
     AAQQ4  AAQQ3  AAQQ2  AAKJJ  AAQJJ  AAJJT  AAJJ9  AAJJ8  AAJJ7  AAJJ6  AAJJ5  AAJJ4  AAJJ3  AAJJ2  AAKTT  AAQTT  AAJTT  AATT9  AATT8  AATT7  AATT6  AATT5
     AATT4  AATT3  AATT2  AAK99  AAQ99  AAJ99  AAT99  AA998  AA997  AA996  AA995  AA994  AA993  AA992  AAK88  AAQ88  AAJ88  AAT88  AA988  AA887  AA886  AA885
     AA884  AA883  AA882  AAK77  AAQ77  AAJ77  AAT77  AA977  AA877  AA776  AA775  AA774  AA773  AA772  AAK66  AAQ66  AAJ66  AAT66  AA966  AA866  AA766  AA665
     AA664  AA663  AA662  AAK55  AAQ55  AAJ55  AAT55  AA955  AA855  AA755  AA655  AA554  AA553  AA552  AAK44  AAQ44  AAJ44  AAT44  AA944  AA844  AA744  AA644
     AA544  AA443  AA442  AAK33  AAQ33  AAJ33  AAT33  AA933  AA833  AA733  AA633  AA533  AA433  AA332  AAK22  AAQ22  AAJ22  AAT22  AA922  AA822  AA722  AA622
     AA522  AA422  AA322  AKKQQ  KKQQJ  KKQQT  KKQQ9  KKQQ8  KKQQ7  KKQQ6  KKQQ5  KKQQ4  KKQQ3  KKQQ2  AKKJJ  KKQJJ  KKJJT  KKJJ9  KKJJ8  KKJJ7  KKJJ6  KKJJ5
     KKJJ4  KKJJ3  KKJJ2  AKKTT  KKQTT  KKJTT  KKTT9  KKTT8  KKTT7  KKTT6  KKTT5  KKTT4  KKTT3  KKTT2  AKK99  KKQ99  KKJ99  KKT99  KK998  KK997  KK996  KK995
     KK994  KK993  KK992  AKK88  KKQ88  KKJ88  KKT88  KK988  KK887  KK886  KK885  KK884  KK883  KK882  AKK77  KKQ77  KKJ77  KKT77  KK977  KK877  KK776  KK775
     KK774  KK773  KK772  AKK66  KKQ66  KKJ66  KKT66  KK966  KK866  KK766  KK665  KK664  KK663  KK662  AKK55  KKQ55  KKJ55  KKT55  KK955  KK855  KK755  KK655
     KK554  KK553  KK552  AKK44  KKQ44  KKJ44  KKT44  KK944  KK844  KK744  KK644  KK544  KK443  KK442  AKK33  KKQ33  KKJ33  KKT33  KK933  KK833  KK733  KK633
     KK533  KK433  KK332  AKK22  KKQ22  KKJ22  KKT22  KK922  KK822  KK722  KK622  KK522  KK422  KK322  AQQJJ  KQQJJ  QQJJT  QQJJ9  QQJJ8  QQJJ7  QQJJ6  QQJJ5
     QQJJ4  QQJJ3  QQJJ2  AQQTT  KQQTT  QQJTT  QQTT9  QQTT8  QQTT7  QQTT6  QQTT5  QQTT4  QQTT3  QQTT2  AQQ99  KQQ99  QQJ99  QQT99  QQ998  QQ997  QQ996  QQ995
     QQ994  QQ993  QQ992  AQQ88  KQQ88  QQJ88  QQT88  QQ988  QQ887  QQ886  QQ885  QQ884  QQ883  QQ882  AQQ77  KQQ77  QQJ77  QQT77  QQ977  QQ877  QQ776  QQ775
     QQ774  QQ773  QQ772  AQQ66  KQQ66  QQJ66  QQT66  QQ966  QQ866  QQ766  QQ665  QQ664  QQ663  QQ662  AQQ55  KQQ55  QQJ55  QQT55  QQ955  QQ855  QQ755  QQ655
     QQ554  QQ553  QQ552  AQQ44  KQQ44  QQJ44  QQT44  QQ944  QQ844  QQ744  QQ644  QQ544  QQ443  QQ442  AQQ33  KQQ33  QQJ33  QQT33  QQ933  QQ833  QQ733  QQ633
     QQ533  QQ433  QQ332  AQQ22  KQQ22  QQJ22  QQT22  QQ922  QQ822  QQ722  QQ622  QQ522  QQ422  QQ322  AJJTT  KJJTT  QJJTT  JJTT9  JJTT8  JJTT7  JJTT6  JJTT5
     JJTT4  JJTT3  JJTT2  AJJ99  KJJ99  QJJ99  JJT99  JJ998  JJ997  JJ996  JJ995  JJ994  JJ993  JJ992  AJJ88  KJJ88  QJJ88  JJT88  JJ988  JJ887  JJ886  JJ885
     JJ884  JJ883  JJ882  AJJ77  KJJ77  QJJ77  JJT77  JJ977  JJ877  JJ776  JJ775  JJ774  JJ773  JJ772  AJJ66  KJJ66  QJJ66  JJT66  JJ966  JJ866  JJ766  JJ665
     JJ664  JJ663  JJ662  AJJ55  KJJ55  QJJ55  JJT55  JJ955  JJ855  JJ755  JJ655  JJ554  JJ553  JJ552  AJJ44  KJJ44  QJJ44  JJT44  JJ944  JJ844  JJ744  JJ644
     JJ544  JJ443  JJ442  AJJ33  KJJ33  QJJ33  JJT33  JJ933  JJ833  JJ733  JJ633  JJ533  JJ433  JJ332  AJJ22  KJJ22  QJJ22  JJT22  JJ922  JJ822  JJ722  JJ622
     JJ522  JJ422  JJ322  ATT99  KTT99  QTT99  JTT99  TT998  TT997  TT996  TT995  TT994  TT993  TT992  ATT88  KTT88  QTT88  JTT88  TT988  TT887  TT886  TT885
     TT884  TT883  TT882  ATT77  KTT77  QTT77  JTT77  TT977  TT877  TT776  TT775  TT774  TT773  TT772  ATT66  KTT66  QTT66  JTT66  TT966  TT866  TT766  TT665
     TT664  TT663  TT662  ATT55  KTT55  QTT55  JTT55  TT955  TT855  TT755  TT655  TT554  TT553  TT552  ATT44  KTT44  QTT44  JTT44  TT944  TT844  TT744  TT644
     TT544  TT443  TT442  ATT33  KTT33  QTT33  JTT33  TT933  TT833  TT733  TT633  TT533  TT433  TT332  ATT22  KTT22  QTT22  JTT22  TT922  TT822  TT722  TT622
     TT522  TT422  TT322  A9988  K9988  Q9988  J9988  T9988  99887  99886  99885  99884  99883  99882  A9977  K9977  Q9977  J9977  T9977  99877  99776  99775
     99774  99773  99772  A9966  K9966  Q9966  J9966  T9966  99866  99766  99665  99664  99663  99662  A9955  K9955  Q9955  J9955  T9955  99855  99755  99655
     99554  99553  99552  A9944  K9944  Q9944  J9944  T9944  99844  99744  99644  99544  99443  99442  A9933  K9933  Q9933  J9933  T9933  99833  99733  99633
     99533  99433  99332  A9922  K9922  Q9922  J9922  T9922  99822  99722  99622  99522  99422  99322  A8877  K8877  Q8877  J8877  T8877  98877  88776  88775
     88774  88773  88772  A8866  K8866  Q8866  J8866  T8866  98866  88766  88665  88664  88663  88662  A8855  K8855  Q8855  J8855  T8855  98855  88755  88655
     88554  88553  88552  A8844  K8844  Q8844  J8844  T8844  98844  88744  88644  88544  88443  88442  A8833  K8833  Q8833  J8833  T8833  98833  88733  88633
     88533  88433  88332  A8822  K8822  Q8822  J8822  T8822  98822  88722  88622  88522  88422  88322  A7766  K7766  Q7766  J7766  T7766  97766  87766  77665
     77664  77663  77662  A7755  K7755  Q7755  J7755  T7755  97755  87755  77655  77554  77553  77552  A7744  K7744  Q7744  J7744  T7744  97744  87744  77644
     77544  77443  77442  A7733  K7733  Q7733  J7733  T7733  97733  87733  77633  77533  77433  77332  A7722  K7722  Q7722  J7722  T7722  97722  87722  77622
     77522  77422  77322  A6655  K6655  Q6655  J6655  T6655  96655  86655  76655  66554  66553  66552  A6644  K6644  Q6644  J6644  T6644  96644  86644  76644
     66544  66443  66442  A6633  K6633  Q6633  J6633  T6633  96633  86633  76633  66533  66433  66332  A6622  K6622  Q6622  J6622  T6622  96622  86622  76622
     66522  66422  66322  A5544  K5544  Q5544  J5544  T5544  95544  85544  75544  65544  55443  55442  A5533  K5533  Q5533  J5533  T5533  95533  85533  75533
     65533  55433  55332  A5522  K5522  Q5522  J5522  T5522  95522  85522  75522  65522  55422  55322  A4433  K4433  Q4433  J4433  T4433  94433  84433  74433
     64433  54433  44332  A4422  K4422  Q4422  J4422  T4422  94422  84422  74422  64422  54422  44322  A3322  K3322  Q3322  J3322  T3322  93322  83322  73322
     63322  53322  43322  AAKQJ  AAKQT  AAKQ9  AAKQ8  AAKQ7  AAKQ6  AAKQ5  AAKQ4  AAKQ3  AAKQ2  AAKJT  AAKJ9  AAKJ8  AAKJ7  AAKJ6  AAKJ5  AAKJ4  AAKJ3  AAKJ2
     AAKT9  AAKT8  AAKT7  AAKT6  AAKT5  AAKT4  AAKT3  AAKT2  AAK98  AAK97  AAK96  AAK95  AAK94  AAK93  AAK92  AAK87  AAK86  AAK85  AAK84  AAK83  AAK82  AAK76
     AAK75  AAK74  AAK73  AAK72  AAK65  AAK64  AAK63  AAK62  AAK54  AAK53  AAK52  AAK43  AAK42  AAK32  AAQJT  AAQJ9  AAQJ8  AAQJ7  AAQJ6  AAQJ5  AAQJ4  AAQJ3
     AAQJ2  AAQT9  AAQT8  AAQT7  AAQT6  AAQT5  AAQT4  AAQT3  AAQT2  AAQ98  AAQ97  AAQ96  AAQ95  AAQ94  AAQ93  AAQ92  AAQ87  AAQ86  AAQ85  AAQ84  AAQ83  AAQ82
     AAQ76  AAQ75  AAQ74  AAQ73  AAQ72  AAQ65  AAQ64  AAQ63  AAQ62  AAQ54  AAQ53  AAQ52  AAQ43  AAQ42  AAQ32  AAJT9  AAJT8  AAJT7  AAJT6  AAJT5  AAJT4  AAJT3
     AAJT2  AAJ98  AAJ97  AAJ96  AAJ95  AAJ94  AAJ93  AAJ92  AAJ87  AAJ86  AAJ85  AAJ84  AAJ83  AAJ82  AAJ76  AAJ75  AAJ74  AAJ73  AAJ72  AAJ65  AAJ64  AAJ63
     AAJ62  AAJ54  AAJ53  AAJ52  AAJ43  AAJ42  AAJ32  AAT98  AAT97  AAT96  AAT95  AAT94  AAT93  AAT92  AAT87  AAT86  AAT85  AAT84  AAT83  AAT82  AAT76  AAT75
     AAT74  AAT73  AAT72  AAT65  AAT64  AAT63  AAT62  AAT54  AAT53  AAT52  AAT43  AAT42  AAT32  AA987  AA986  AA985  AA984  AA983  AA982  AA976  AA975  AA974
     AA973  AA972  AA965  AA964  AA963  AA962  AA954  AA953  AA952  AA943  AA942  AA932  AA876  AA875  AA874  AA873  AA872  AA865  AA864  AA863  AA862  AA854
     AA853  AA852  AA843  AA842  AA832  AA765  AA764  AA763  AA762  AA754  AA753  AA752  AA743  AA742  AA732  AA654  AA653  AA652  AA643  AA642  AA632  AA543
     AA542  AA532  AA432  AKKQJ  AKKQT  AKKQ9  AKKQ8  AKKQ7  AKKQ6  AKKQ5  AKKQ4  AKKQ3  AKKQ2  AKKJT  AKKJ9  AKKJ8  AKKJ7  AKKJ6  AKKJ5  AKKJ4  AKKJ3  AKKJ2
     AKKT9  AKKT8  AKKT7  AKKT6  AKKT5  AKKT4  AKKT3  AKKT2  AKK98  AKK97  AKK96  AKK95  AKK94  AKK93  AKK92  AKK87  AKK86  AKK85  AKK84  AKK83  AKK82  AKK76
     AKK75  AKK74  AKK73  AKK72  AKK65  AKK64  AKK63  AKK62  AKK54  AKK53  AKK52  AKK43  AKK42  AKK32  KKQJT  KKQJ9  KKQJ8  KKQJ7  KKQJ6  KKQJ5  KKQJ4  KKQJ3
     KKQJ2  KKQT9  KKQT8  KKQT7  KKQT6  KKQT5  KKQT4  KKQT3  KKQT2  KKQ98  KKQ97  KKQ96  KKQ95  KKQ94  KKQ93  KKQ92  KKQ87  KKQ86  KKQ85  KKQ84  KKQ83  KKQ82
     KKQ76  KKQ75  KKQ74  KKQ73  KKQ72  KKQ65  KKQ64  KKQ63  KKQ62  KKQ54  KKQ53  KKQ52  KKQ43  KKQ42  KKQ32  KKJT9  KKJT8  KKJT7  KKJT6  KKJT5  KKJT4  KKJT3
     KKJT2  KKJ98  KKJ97  KKJ96  KKJ95  KKJ94  KKJ93  KKJ92  KKJ87  KKJ86  KKJ85  KKJ84  KKJ83  KKJ82  KKJ76  KKJ75  KKJ74  KKJ73  KKJ72  KKJ65  KKJ64  KKJ63
     KKJ62  KKJ54  KKJ53  KKJ52  KKJ43  KKJ42  KKJ32  KKT98  KKT97  KKT96  KKT95  KKT94  KKT93  KKT92  KKT87  KKT86  KKT85  KKT84  KKT83  KKT82  KKT76  KKT75
     KKT74  KKT73  KKT72  KKT65  KKT64  KKT63  KKT62  KKT54  KKT53  KKT52  KKT43  KKT42  KKT32  KK987  KK986  KK985  KK984  KK983  KK982  KK976  KK975  KK974
     KK973  KK972  KK965  KK964  KK963  KK962  KK954  KK953  KK952  KK943  KK942  KK932  KK876  KK875  KK874  KK873  KK872  KK865  KK864  KK863  KK862  KK854
     KK853  KK852  KK843  KK842  KK832  KK765  KK764  KK763  KK762  KK754  KK753  KK752  KK743  KK742  KK732  KK654  KK653  KK652  KK643  KK642  KK632  KK543
     KK542  KK532  KK432  AKQQJ  AKQQT  AKQQ9  AKQQ8  AKQQ7  AKQQ6  AKQQ5  AKQQ4  AKQQ3  AKQQ2  AQQJT  AQQJ9  AQQJ8  AQQJ7  AQQJ6  AQQJ5  AQQJ4  AQQJ3  AQQJ2
     AQQT9  AQQT8  AQQT7  AQQT6  AQQT5  AQQT4  AQQT3  AQQT2  AQQ98  AQQ97  AQQ96  AQQ95  AQQ94  AQQ93  AQQ92  AQQ87  AQQ86  AQQ85  AQQ84  AQQ83  AQQ82  AQQ76
     AQQ75  AQQ74  AQQ73  AQQ72  AQQ65  AQQ64  AQQ63  AQQ62  AQQ54  AQQ53  AQQ52  AQQ43  AQQ42  AQQ32  KQQJT  KQQJ9  KQQJ8  KQQJ7  KQQJ6  KQQJ5  KQQJ4  KQQJ3
     KQQJ2  KQQT9  KQQT8  KQQT7  KQQT6  KQQT5  KQQT4  KQQT3  KQQT2  KQQ98  KQQ97  KQQ96  KQQ95  KQQ94  KQQ93  KQQ92  KQQ87  KQQ86  KQQ85  KQQ84  KQQ83  KQQ82
     KQQ76  KQQ75  KQQ74  KQQ73  KQQ72  KQQ65  KQQ64  KQQ63  KQQ62  KQQ54  KQQ53  KQQ52  KQQ43  KQQ42  KQQ32  QQJT9  QQJT8  QQJT7  QQJT6  QQJT5  QQJT4  QQJT3
     QQJT2  QQJ98  QQJ97  QQJ96  QQJ95  QQJ94  QQJ93  QQJ92  QQJ87  QQJ86  QQJ85  QQJ84  QQJ83  QQJ82  QQJ76  QQJ75  QQJ74  QQJ73  QQJ72  QQJ65  QQJ64  QQJ63
     QQJ62  QQJ54  QQJ53  QQJ52  QQJ43  QQJ42  QQJ32  QQT98  QQT97  QQT96  QQT95  QQT94  QQT93  QQT92  QQT87  QQT86  QQT85  QQT84  QQT83  QQT82  QQT76  QQT75
     QQT74  QQT73  QQT72  QQT65  QQT64  QQT63  QQT62  QQT54  QQT53  QQT52  QQT43  QQT42  QQT32  QQ987  QQ986  QQ985  QQ984  QQ983  QQ982  QQ976  QQ975  QQ974
     QQ973  QQ972  QQ965  QQ964  QQ963  QQ962  QQ954  QQ953  QQ952  QQ943  QQ942  QQ932  QQ876  QQ875  QQ874  QQ873  QQ872  QQ865  QQ864  QQ863  QQ862  QQ854
     QQ853  QQ852  QQ843  QQ842  QQ832  QQ765  QQ764  QQ763  QQ762  QQ754  QQ753  QQ752  QQ743  QQ742  QQ732  QQ654  QQ653  QQ652  QQ643  QQ642  QQ632  QQ543
     QQ542  QQ532  QQ432  AKQJJ  AKJJT  AKJJ9  AKJJ8  AKJJ7  AKJJ6  AKJJ5  AKJJ4  AKJJ3  AKJJ2  AQJJT  AQJJ9  AQJJ8  AQJJ7  AQJJ6  AQJJ5  AQJJ4  AQJJ3  AQJJ2
     AJJT9  AJJT8  AJJT7  AJJT6  AJJT5  AJJT4  AJJT3  AJJT2  AJJ98  AJJ97  AJJ96  AJJ95  AJJ94  AJJ93  AJJ92  AJJ87  AJJ86  AJJ85  AJJ84  AJJ83  AJJ82  AJJ76
     AJJ75  AJJ74  AJJ73  AJJ72  AJJ65  AJJ64  AJJ63  AJJ62  AJJ54  AJJ53  AJJ52  AJJ43  AJJ42  AJJ32  KQJJT  KQJJ9  KQJJ8  KQJJ7  KQJJ6  KQJJ5  KQJJ4  KQJJ3
     KQJJ2  KJJT9  KJJT8  KJJT7  KJJT6  KJJT5  KJJT4  KJJT3  KJJT2  KJJ98  KJJ97  KJJ96  KJJ95  KJJ94  KJJ93  KJJ92  KJJ87  KJJ86  KJJ85  KJJ84  KJJ83  KJJ82
     KJJ76  KJJ75  KJJ74  KJJ73  KJJ72  KJJ65  KJJ64  KJJ63  KJJ62  KJJ54  KJJ53  KJJ52  KJJ43  KJJ42  KJJ32  QJJT9  QJJT8  QJJT7  QJJT6  QJJT5  QJJT4  QJJT3
     QJJT2  QJJ98  QJJ97  QJJ96  QJJ95  QJJ94  QJJ93  QJJ92  QJJ87  QJJ86  QJJ85  QJJ84  QJJ83  QJJ82  QJJ76  QJJ75  QJJ74  QJJ73  QJJ72  QJJ65  QJJ64  QJJ63
     QJJ62  QJJ54  QJJ53  QJJ52  QJJ43  QJJ42  QJJ32  JJT98  JJT97  JJT96  JJT95  JJT94  JJT93  JJT92  JJT87  JJT86  JJT85  JJT84  JJT83  JJT82  JJT76  JJT75
     JJT74  JJT73  JJT72  JJT65  JJT64  JJT63  JJT62  JJT54  JJT53  JJT52  JJT43  JJT42  JJT32  JJ987  JJ986  JJ985  JJ984  JJ983  JJ982  JJ976  JJ975  JJ974
     JJ973  JJ972  JJ965  JJ964  JJ963  JJ962  JJ954  JJ953  JJ952  JJ943  JJ942  JJ932  JJ876  JJ875  JJ874  JJ873  JJ872  JJ865  JJ864  JJ863  JJ862  JJ854
     JJ853  JJ852  JJ843  JJ842  JJ832  JJ765  JJ764  JJ763  JJ762  JJ754  JJ753  JJ752  JJ743  JJ742  JJ732  JJ654  JJ653  JJ652  JJ643  JJ642  JJ632  JJ543
     JJ542  JJ532  JJ432  AKQTT  AKJTT  AKTT9  AKTT8  AKTT7  AKTT6  AKTT5  AKTT4  AKTT3  AKTT2  AQJTT  AQTT9  AQTT8  AQTT7  AQTT6  AQTT5  AQTT4  AQTT3  AQTT2
     AJTT9  AJTT8  AJTT7  AJTT6  AJTT5  AJTT4  AJTT3  AJTT2  ATT98  ATT97  ATT96  ATT95  ATT94  ATT93  ATT92  ATT87  ATT86  ATT85  ATT84  ATT83  ATT82  ATT76
     ATT75  ATT74  ATT73  ATT72  ATT65  ATT64  ATT63  ATT62  ATT54  ATT53  ATT52  ATT43  ATT42  ATT32  KQJTT  KQTT9  KQTT8  KQTT7  KQTT6  KQTT5  KQTT4  KQTT3
     KQTT2  KJTT9  KJTT8  KJTT7  KJTT6  KJTT5  KJTT4  KJTT3  KJTT2  KTT98  KTT97  KTT96  KTT95  KTT94  KTT93  KTT92  KTT87  KTT86  KTT85  KTT84  KTT83  KTT82
     KTT76  KTT75  KTT74  KTT73  KTT72  KTT65  KTT64  KTT63  KTT62  KTT54  KTT53  KTT52  KTT43  KTT42  KTT32  QJTT9  QJTT8  QJTT7  QJTT6  QJTT5  QJTT4  QJTT3
     QJTT2  QTT98  QTT97  QTT96  QTT95  QTT94  QTT93  QTT92  QTT87  QTT86  QTT85  QTT84  QTT83  QTT82  QTT76  QTT75  QTT74  QTT73  QTT72  QTT65  QTT64  QTT63
     QTT62  QTT54  QTT53  QTT52  QTT43  QTT42  QTT32  JTT98  JTT97  JTT96  JTT95  JTT94  JTT93  JTT92  JTT87  JTT86  JTT85  JTT84  JTT83  JTT82  JTT76  JTT75
     JTT74  JTT73  JTT72  JTT65  JTT64  JTT63  JTT62  JTT54  JTT53  JTT52  JTT43  JTT42  JTT32  TT987  TT986  TT985  TT984  TT983  TT982  TT976  TT975  TT974
     TT973  TT972  TT965  TT964  TT963  TT962  TT954  TT953  TT952  TT943  TT942  TT932  TT876  TT875  TT874  TT873  TT872  TT865  TT864  TT863  TT862  TT854
     TT853  TT852  TT843  TT842  TT832  TT765  TT764  TT763  TT762  TT754  TT753  TT752  TT743  TT742  TT732  TT654  TT653  TT652  TT643  TT642  TT632  TT543
     TT542  TT532  TT432  AKQ99  AKJ99  AKT99  AK998  AK997  AK996  AK995  AK994  AK993  AK992  AQJ99  AQT99  AQ998  AQ997  AQ996  AQ995  AQ994  AQ993  AQ992
     AJT99  AJ998  AJ997  AJ996  AJ995  AJ994  AJ993  AJ992  AT998  AT997  AT996  AT995  AT994  AT993  AT992  A9987  A9986  A9985  A9984  A9983  A9982  A9976
     A9975  A9974  A9973  A9972  A9965  A9964  A9963  A9962  A9954  A9953  A9952  A9943  A9942  A9932  KQJ99  KQT99  KQ998  KQ997  KQ996  KQ995  KQ994  KQ993
     KQ992  KJT99  KJ998  KJ997  KJ996  KJ995  KJ994  KJ993  KJ992  KT998  KT997  KT996  KT995  KT994  KT993  KT992  K9987  K9986  K9985  K9984  K9983  K9982
     K9976  K9975  K9974  K9973  K9972  K9965  K9964  K9963  K9962  K9954  K9953  K9952  K9943  K9942  K9932  QJT99  QJ998  QJ997  QJ996  QJ995  QJ994  QJ993
     QJ992  QT998  QT997  QT996  QT995  QT994  QT993  QT992  Q9987  Q9986  Q9985  Q9984  Q9983  Q9982  Q9976  Q9975  Q9974  Q9973  Q9972  Q9965  Q9964  Q9963
     Q9962  Q9954  Q9953  Q9952  Q9943  Q9942  Q9932  JT998  JT997  JT996  JT995  JT994  JT993  JT992  J9987  J9986  J9985  J9984  J9983  J9982  J9976  J9975
     J9974  J9973  J9972  J9965  J9964  J9963  J9962  J9954  J9953  J9952  J9943  J9942  J9932  T9987  T9986  T9985  T9984  T9983  T9982  T9976  T9975  T9974
     T9973  T9972  T9965  T9964  T9963  T9962  T9954  T9953  T9952  T9943  T9942  T9932  99876  99875  99874  99873  99872  99865  99864  99863  99862  99854
     99853  99852  99843  99842  99832  99765  99764  99763  99762  99754  99753  99752  99743  99742  99732  99654  99653  99652  99643  99642  99632  99543
     99542  99532  99432  AKQ88  AKJ88  AKT88  AK988  AK887  AK886  AK885  AK884  AK883  AK882  AQJ88  AQT88  AQ988  AQ887  AQ886  AQ885  AQ884  AQ883  AQ882
     AJT88  AJ988  AJ887  AJ886  AJ885  AJ884  AJ883  AJ882  AT988  AT887  AT886  AT885  AT884  AT883  AT882  A9887  A9886  A9885  A9884  A9883  A9882  A8876
     A8875  A8874  A8873  A8872  A8865  A8864  A8863  A8862  A8854  A8853  A8852  A8843  A8842  A8832  KQJ88  KQT88  KQ988  KQ887  KQ886  KQ885  KQ884  KQ883
     KQ882  KJT88  KJ988  KJ887  KJ886  KJ885  KJ884  KJ883  KJ882  KT988  KT887  KT886  KT885  KT884  KT883  KT882  K9887  K9886  K9885  K9884  K9883  K9882
     K8876  K8875  K8874  K8873  K8872  K8865  K8864  K8863  K8862  K8854  K8853  K8852  K8843  K8842  K8832  QJT88  QJ988  QJ887  QJ886  QJ885  QJ884  QJ883
     QJ882  QT988  QT887  QT886  QT885  QT884  QT883  QT882  Q9887  Q9886  Q9885  Q9884  Q9883  Q9882  Q8876  Q8875  Q8874  Q8873  Q8872  Q8865  Q8864  Q8863
     Q8862  Q8854  Q8853  Q8852  Q8843  Q8842  Q8832  JT988  JT887  JT886  JT885  JT884  JT883  JT882  J9887  J9886  J9885  J9884  J9883  J9882  J8876  J8875
     J8874  J8873  J8872  J8865  J8864  J8863  J8862  J8854  J8853  J8852  J8843  J8842  J8832  T9887  T9886  T9885  T9884  T9883  T9882  T8876  T8875  T8874
     T8873  T8872  T8865  T8864  T8863  T8862  T8854  T8853  T8852  T8843  T8842  T8832  98876  98875  98874  98873  98872  98865  98864  98863  98862  98854
     98853  98852  98843  98842  98832  88765  88764  88763  88762  88754  88753  88752  88743  88742  88732  88654  88653  88652  88643  88642  88632  88543
     88542  88532  88432  AKQ77  AKJ77  AKT77  AK977  AK877  AK776  AK775  AK774  AK773  AK772  AQJ77  AQT77  AQ977  AQ877  AQ776  AQ775  AQ774  AQ773  AQ772
     AJT77  AJ977  AJ877  AJ776  AJ775  AJ774  AJ773  AJ772  AT977  AT877  AT776  AT775  AT774  AT773  AT772  A9877  A9776  A9775  A9774  A9773  A9772  A8776
     A8775  A8774  A8773  A8772  A7765  A7764  A7763  A7762  A7754  A7753  A7752  A7743  A7742  A7732  KQJ77  KQT77  KQ977  KQ877  KQ776  KQ775  KQ774  KQ773
     KQ772  KJT77  KJ977  KJ877  KJ776  KJ775  KJ774  KJ773  KJ772  KT977  KT877  KT776  KT775  KT774  KT773  KT772  K9877  K9776  K9775  K9774  K9773  K9772
     K8776  K8775  K8774  K8773  K8772  K7765  K7764  K7763  K7762  K7754  K7753  K7752  K7743  K7742  K7732  QJT77  QJ977  QJ877  QJ776  QJ775  QJ774  QJ773
     QJ772  QT977  QT877  QT776  QT775  QT774  QT773  QT772  Q9877  Q9776  Q9775  Q9774  Q9773  Q9772  Q8776  Q8775  Q8774  Q8773  Q8772  Q7765  Q7764  Q7763
     Q7762  Q7754  Q7753  Q7752  Q7743  Q7742  Q7732  JT977  JT877  JT776  JT775  JT774  JT773  JT772  J9877  J9776  J9775  J9774  J9773  J9772  J8776  J8775
     J8774  J8773  J8772  J7765  J7764  J7763  J7762  J7754  J7753  J7752  J7743  J7742  J7732  T9877  T9776  T9775  T9774  T9773  T9772  T8776  T8775  T8774
     T8773  T8772  T7765  T7764  T7763  T7762  T7754  T7753  T7752  T7743  T7742  T7732  98776  98775  98774  98773  98772  97765  97764  97763  97762  97754
     97753  97752  97743  97742  97732  87765  87764  87763  87762  87754  87753  87752  87743  87742  87732  77654  77653  77652  77643  77642  77632  77543
     77542  77532  77432  AKQ66  AKJ66  AKT66  AK966  AK866  AK766  AK665  AK664  AK663  AK662  AQJ66  AQT66  AQ966  AQ866  AQ766  AQ665  AQ664  AQ663  AQ662
     AJT66  AJ966  AJ866  AJ766  AJ665  AJ664  AJ663  AJ662  AT966  AT866  AT766  AT665  AT664  AT663  AT662  A9866  A9766  A9665  A9664  A9663  A9662  A8766
     A8665  A8664  A8663  A8662  A7665  A7664  A7663  A7662  A6654  A6653  A6652  A6643  A6642  A6632  KQJ66  KQT66  KQ966  KQ866  KQ766  KQ665  KQ664  KQ663
     KQ662  KJT66  KJ966  KJ866  KJ766  KJ665  KJ664  KJ663  KJ662  KT966  KT866  KT766  KT665  KT664  KT663  KT662  K9866  K9766  K9665  K9664  K9663  K9662
     K8766  K8665  K8664  K8663  K8662  K7665  K7664  K7663  K7662  K6654  K6653  K6652  K6643  K6642  K6632  QJT66  QJ966  QJ866  QJ766  QJ665  QJ664  QJ663
     QJ662  QT966  QT866  QT766  QT665  QT664  QT663  QT662  Q9866  Q9766  Q9665  Q9664  Q9663  Q9662  Q8766  Q8665  Q8664  Q8663  Q8662  Q7665  Q7664  Q7663
     Q7662  Q6654  Q6653  Q6652  Q6643  Q6642  Q6632  JT966  JT866  JT766  JT665  JT664  JT663  JT662  J9866  J9766  J9665  J9664  J9663  J9662  J8766  J8665
     J8664  J8663  J8662  J7665  J7664  J7663  J7662  J6654  J6653  J6652  J6643  J6642  J6632  T9866  T9766  T9665  T9664  T9663  T9662  T8766  T8665  T8664
     T8663  T8662  T7665  T7664  T7663  T7662  T6654  T6653  T6652  T6643  T6642  T6632  98766  98665  98664  98663  98662  97665  97664  97663  97662  96654
     96653  96652  96643  96642  96632  87665  87664  87663  87662  86654  86653  86652  86643  86642  86632  76654  76653  76652  76643  76642  76632  66543
     66542  66532  66432  AKQ55  AKJ55  AKT55  AK955  AK855  AK755  AK655  AK554  AK553  AK552  AQJ55  AQT55  AQ955  AQ855  AQ755  AQ655  AQ554  AQ553  AQ552
     AJT55  AJ955  AJ855  AJ755  AJ655  AJ554  AJ553  AJ552  AT955  AT855  AT755  AT655  AT554  AT553  AT552  A9855  A9755  A9655  A9554  A9553  A9552  A8755
     A8655  A8554  A8553  A8552  A7655  A7554  A7553  A7552  A6554  A6553  A6552  A5543  A5542  A5532  KQJ55  KQT55  KQ955  KQ855  KQ755  KQ655  KQ554  KQ553
     KQ552  KJT55  KJ955  KJ855  KJ755  KJ655  KJ554  KJ553  KJ552  KT955  KT855  KT755  KT655  KT554  KT553  KT552  K9855  K9755  K9655  K9554  K9553  K9552
     K8755  K8655  K8554  K8553  K8552  K7655  K7554  K7553  K7552  K6554  K6553  K6552  K5543  K5542  K5532  QJT55  QJ955  QJ855  QJ755  QJ655  QJ554  QJ553
     QJ552  QT955  QT855  QT755  QT655  QT554  QT553  QT552  Q9855  Q9755  Q9655  Q9554  Q9553  Q9552  Q8755  Q8655  Q8554  Q8553  Q8552  Q7655  Q7554  Q7553
     Q7552  Q6554  Q6553  Q6552  Q5543  Q5542  Q5532  JT955  JT855  JT755  JT655  JT554  JT553  JT552  J9855  J9755  J9655  J9554  J9553  J9552  J8755  J8655
     J8554  J8553  J8552  J7655  J7554  J7553  J7552  J6554  J6553  J6552  J5543  J5542  J5532  T9855  T9755  T9655  T9554  T9553  T9552  T8755  T8655  T8554
     T8553  T8552  T7655  T7554  T7553  T7552  T6554  T6553  T6552  T5543  T5542  T5532  98755  98655  98554  98553  98552  97655  97554  97553  97552  96554
     96553  96552  95543  95542  95532  87655  87554  87553  87552  86554  86553  86552  85543  85542  85532  76554  76553  76552  75543  75542  75532  65543
     65542  65532  55432  AKQ44  AKJ44  AKT44  AK944  AK844  AK744  AK644  AK544  AK443  AK442  AQJ44  AQT44  AQ944  AQ844  AQ744  AQ644  AQ544  AQ443  AQ442
     AJT44  AJ944  AJ844  AJ744  AJ644  AJ544  AJ443  AJ442  AT944  AT844  AT744  AT644  AT544  AT443  AT442  A9844  A9744  A9644  A9544  A9443  A9442  A8744
     A8644  A8544  A8443  A8442  A7644  A7544  A7443  A7442  A6544  A6443  A6442  A5443  A5442  A4432  KQJ44  KQT44  KQ944  KQ844  KQ744  KQ644  KQ544  KQ443
     KQ442  KJT44  KJ944  KJ844  KJ744  KJ644  KJ544  KJ443  KJ442  KT944  KT844  KT744  KT644  KT544  KT443  KT442  K9844  K9744  K9644  K9544  K9443  K9442
     K8744  K8644  K8544  K8443  K8442  K7644  K7544  K7443  K7442  K6544  K6443  K6442  K5443  K5442  K4432  QJT44  QJ944  QJ844  QJ744  QJ644  QJ544  QJ443
     QJ442  QT944  QT844  QT744  QT644  QT544  QT443  QT442  Q9844  Q9744  Q9644  Q9544  Q9443  Q9442  Q8744  Q8644  Q8544  Q8443  Q8442  Q7644  Q7544  Q7443
     Q7442  Q6544  Q6443  Q6442  Q5443  Q5442  Q4432  JT944  JT844  JT744  JT644  JT544  JT443  JT442  J9844  J9744  J9644  J9544  J9443  J9442  J8744  J8644
     J8544  J8443  J8442  J7644  J7544  J7443  J7442  J6544  J6443  J6442  J5443  J5442  J4432  T9844  T9744  T9644  T9544  T9443  T9442  T8744  T8644  T8544
     T8443  T8442  T7644  T7544  T7443  T7442  T6544  T6443  T6442  T5443  T5442  T4432  98744  98644  98544  98443  98442  97644  97544  97443  97442  96544
     96443  96442  95443  95442  94432  87644  87544  87443  87442  86544  86443  86442  85443  85442  84432  76544  76443  76442  75443  75442  74432  65443
     65442  64432  54432  AKQ33  AKJ33  AKT33  AK933  AK833  AK733  AK633  AK533  AK433  AK332  AQJ33  AQT33  AQ933  AQ833  AQ733  AQ633  AQ533  AQ433  AQ332
     AJT33  AJ933  AJ833  AJ733  AJ633  AJ533  AJ433  AJ332  AT933  AT833  AT733  AT633  AT533  AT433  AT332  A9833  A9733  A9633  A9533  A9433  A9332  A8733
     A8633  A8533  A8433  A8332  A7633  A7533  A7433  A7332  A6533  A6433  A6332  A5433  A5332  A4332  KQJ33  KQT33  KQ933  KQ833  KQ733  KQ633  KQ533  KQ433
     KQ332  KJT33  KJ933  KJ833  KJ733  KJ633  KJ533  KJ433  KJ332  KT933  KT833  KT733  KT633  KT533  KT433  KT332  K9833  K9733  K9633  K9533  K9433  K9332
     K8733  K8633  K8533  K8433  K8332  K7633  K7533  K7433  K7332  K6533  K6433  K6332  K5433  K5332  K4332  QJT33  QJ933  QJ833  QJ733  QJ633  QJ533  QJ433
     QJ332  QT933  QT833  QT733  QT633  QT533  QT433  QT332  Q9833  Q9733  Q9633  Q9533  Q9433  Q9332  Q8733  Q8633  Q8533  Q8433  Q8332  Q7633  Q7533  Q7433
     Q7332  Q6533  Q6433  Q6332  Q5433  Q5332  Q4332  JT933  JT833  JT733  JT633  JT533  JT433  JT332  J9833  J9733  J9633  J9533  J9433  J9332  J8733  J8633
     J8533  J8433  J8332  J7633  J7533  J7433  J7332  J6533  J6433  J6332  J5433  J5332  J4332  T9833  T9733  T9633  T9533  T9433  T9332  T8733  T8633  T8533
     T8433  T8332  T7633  T7533  T7433  T7332  T6533  T6433  T6332  T5433  T5332  T4332  98733  98633  98533  98433  98332  97633  97533  97433  97332  96533
     96433  96332  95433  95332  94332  87633  87533  87433  87332  86533  86433  86332  85433  85332  84332  76533  76433  76332  75433  75332  74332  65433
     65332  64332  54332  AKQ22  AKJ22  AKT22  AK922  AK822  AK722  AK622  AK522  AK422  AK322  AQJ22  AQT22  AQ922  AQ822  AQ722  AQ622  AQ522  AQ422  AQ322
     AJT22  AJ922  AJ822  AJ722  AJ622  AJ522  AJ422  AJ322  AT922  AT822  AT722  AT622  AT522  AT422  AT322  A9822  A9722  A9622  A9522  A9422  A9322  A8722
     A8622  A8522  A8422  A8322  A7622  A7522  A7422  A7322  A6522  A6422  A6322  A5422  A5322  A4322  KQJ22  KQT22  KQ922  KQ822  KQ722  KQ622  KQ522  KQ422
     KQ322  KJT22  KJ922  KJ822  KJ722  KJ622  KJ522  KJ422  KJ322  KT922  KT822  KT722  KT622  KT522  KT422  KT322  K9822  K9722  K9622  K9522  K9422  K9322
     K8722  K8622  K8522  K8422  K8322  K7622  K7522  K7422  K7322  K6522  K6422  K6322  K5422  K5322  K4322  QJT22  QJ922  QJ822  QJ722  QJ622  QJ522  QJ422
     QJ322  QT922  QT822  QT722  QT622  QT522  QT422  QT322  Q9822  Q9722  Q9622  Q9522  Q9422  Q9322  Q8722  Q8622  Q8522  Q8422  Q8322  Q7622  Q7522  Q7422
     Q7322  Q6522  Q6422  Q6322  Q5422  Q5322  Q4322  JT922  JT822  JT722  JT622  JT522  JT422  JT322  J9822  J9722  J9622  J9522  J9422  J9322  J8722  J8622
     J8522  J8422  J8322  J7622  J7522  J7422  J7322  J6522  J6422  J6322  J5422  J5322  J4322  T9822  T9722  T9622  T9522  T9422  T9322  T8722  T8622  T8522
     T8422  T8322  T7622  T7522  T7422  T7322  T6522  T6422  T6322  T5422  T5322  T4322  98722  98622  98522  98422  98322  97622  97522  97422  97322  96522
     96422  96322  95422  95322  94322  87622  87522  87422  87322  86522  86422  86322  85422  85322  84322  76522  76422  76322  75422  75322  74322  65422
     65322  64322  54322  AKQJ9  AKQJ8  AKQJ7  AKQJ6  AKQJ5  AKQJ4  AKQJ3  AKQJ2  AKQT9  AKQT8  AKQT7  AKQT6  AKQT5  AKQT4  AKQT3  AKQT2  AKQ98  AKQ97  AKQ96
     AKQ95  AKQ94  AKQ93  AKQ92  AKQ87  AKQ86  AKQ85  AKQ84  AKQ83  AKQ82  AKQ76  AKQ75  AKQ74  AKQ73  AKQ72  AKQ65  AKQ64  AKQ63  AKQ62  AKQ54  AKQ53  AKQ52
     AKQ43  AKQ42  AKQ32  AKJT9  AKJT8  AKJT7  AKJT6  AKJT5  AKJT4  AKJT3  AKJT2  AKJ98  AKJ97  AKJ96  AKJ95  AKJ94  AKJ93  AKJ92  AKJ87  AKJ86  AKJ85  AKJ84
     AKJ83  AKJ82  AKJ76  AKJ75  AKJ74  AKJ73  AKJ72  AKJ65  AKJ64  AKJ63  AKJ62  AKJ54  AKJ53  AKJ52  AKJ43  AKJ42  AKJ32  AKT98  AKT97  AKT96  AKT95  AKT94
     AKT93  AKT92  AKT87  AKT86  AKT85  AKT84  AKT83  AKT82  AKT76  AKT75  AKT74  AKT73  AKT72  AKT65  AKT64  AKT63  AKT62  AKT54  AKT53  AKT52  AKT43  AKT42
     AKT32  AK987  AK986  AK985  AK984  AK983  AK982  AK976  AK975  AK974  AK973  AK972  AK965  AK964  AK963  AK962  AK954  AK953  AK952  AK943  AK942  AK932
     AK876  AK875  AK874  AK873  AK872  AK865  AK864  AK863  AK862  AK854  AK853  AK852  AK843  AK842  AK832  AK765  AK764  AK763  AK762  AK754  AK753  AK752
     AK743  AK742  AK732  AK654  AK653  AK652  AK643  AK642  AK632  AK543  AK542  AK532  AK432  AQJT9  AQJT8  AQJT7  AQJT6  AQJT5  AQJT4  AQJT3  AQJT2  AQJ98
     AQJ97  AQJ96  AQJ95  AQJ94  AQJ93  AQJ92  AQJ87  AQJ86  AQJ85  AQJ84  AQJ83  AQJ82  AQJ76  AQJ75  AQJ74  AQJ73  AQJ72  AQJ65  AQJ64  AQJ63  AQJ62  AQJ54
     AQJ53  AQJ52  AQJ43  AQJ42  AQJ32  AQT98  AQT97  AQT96  AQT95  AQT94  AQT93  AQT92  AQT87  AQT86  AQT85  AQT84  AQT83  AQT82  AQT76  AQT75  AQT74  AQT73
     AQT72  AQT65  AQT64  AQT63  AQT62  AQT54  AQT53  AQT52  AQT43  AQT42  AQT32  AQ987  AQ986  AQ985  AQ984  AQ983  AQ982  AQ976  AQ975  AQ974  AQ973  AQ972
     AQ965  AQ964  AQ963  AQ962  AQ954  AQ953  AQ952  AQ943  AQ942  AQ932  AQ876  AQ875  AQ874  AQ873  AQ872  AQ865  AQ864  AQ863  AQ862  AQ854  AQ853  AQ852
     AQ843  AQ842  AQ832  AQ765  AQ764  AQ763  AQ762  AQ754  AQ753  AQ752  AQ743  AQ742  AQ732  AQ654  AQ653  AQ652  AQ643  AQ642  AQ632  AQ543  AQ542  AQ532
     AQ432  AJT98  AJT97  AJT96  AJT95  AJT94  AJT93  AJT92  AJT87  AJT86  AJT85  AJT84  AJT83  AJT82  AJT76  AJT75  AJT74  AJT73  AJT72  AJT65  AJT64  AJT63
     AJT62  AJT54  AJT53  AJT52  AJT43  AJT42  AJT32  AJ987  AJ986  AJ985  AJ984  AJ983  AJ982  AJ976  AJ975  AJ974  AJ973  AJ972  AJ965  AJ964  AJ963  AJ962
     AJ954  AJ953  AJ952  AJ943  AJ942  AJ932  AJ876  AJ875  AJ874  AJ873  AJ872  AJ865  AJ864  AJ863  AJ862  AJ854  AJ853  AJ852  AJ843  AJ842  AJ832  AJ765
     AJ764  AJ763  AJ762  AJ754  AJ753  AJ752  AJ743  AJ742  AJ732  AJ654  AJ653  AJ652  AJ643  AJ642  AJ632  AJ543  AJ542  AJ532  AJ432  AT987  AT986  AT985
     AT984  AT983  AT982  AT976  AT975  AT974  AT973  AT972  AT965  AT964  AT963  AT962  AT954  AT953  AT952  AT943  AT942  AT932  AT876  AT875  AT874  AT873
     AT872  AT865  AT864  AT863  AT862  AT854  AT853  AT852  AT843  AT842  AT832  AT765  AT764  AT763  AT762  AT754  AT753  AT752  AT743  AT742  AT732  AT654
     AT653  AT652  AT643  AT642  AT632  AT543  AT542  AT532  AT432  A9876  A9875  A9874  A9873  A9872  A9865  A9864  A9863  A9862  A9854  A9853  A9852  A9843
     A9842  A9832  A9765  A9764  A9763  A9762  A9754  A9753  A9752  A9743  A9742  A9732  A9654  A9653  A9652  A9643  A9642  A9632  A9543  A9542  A9532  A9432
     A8765  A8764  A8763  A8762  A8754  A8753  A8752  A8743  A8742  A8732  A8654  A8653  A8652  A8643  A8642  A8632  A8543  A8542  A8532  A8432  A7654  A7653
     A7652  A7643  A7642  A7632  A7543  A7542  A7532  A7432  A6543  A6542  A6532  A6432  KQJT8  KQJT7  KQJT6  KQJT5  KQJT4  KQJT3  KQJT2  KQJ98  KQJ97  KQJ96
     KQJ95  KQJ94  KQJ93  KQJ92  KQJ87  KQJ86  KQJ85  KQJ84  KQJ83  KQJ82  KQJ76  KQJ75  KQJ74  KQJ73  KQJ72  KQJ65  KQJ64  KQJ63  KQJ62  KQJ54  KQJ53  KQJ52
     KQJ43  KQJ42  KQJ32  KQT98  KQT97  KQT96  KQT95  KQT94  KQT93  KQT92  KQT87  KQT86  KQT85  KQT84  KQT83  KQT82  KQT76  KQT75  KQT74  KQT73  KQT72  KQT65
     KQT64  KQT63  KQT62  KQT54  KQT53  KQT52  KQT43  KQT42  KQT32  KQ987  KQ986  KQ985  KQ984  KQ983  KQ982  KQ976  KQ975  KQ974  KQ973  KQ972  KQ965  KQ964
     KQ963  KQ962  KQ954  KQ953  KQ952  KQ943  KQ942  KQ932  KQ876  KQ875  KQ874  KQ873  KQ872  KQ865  KQ864  KQ863  KQ862  KQ854  KQ853  KQ852  KQ843  KQ842
     KQ832  KQ765  KQ764  KQ763  KQ762  KQ754  KQ753  KQ752  KQ743  KQ742  KQ732  KQ654  KQ653  KQ652  KQ643  KQ642  KQ632  KQ543  KQ542  KQ532  KQ432  KJT98
     KJT97  KJT96  KJT95  KJT94  KJT93  KJT92  KJT87  KJT86  KJT85  KJT84  KJT83  KJT82  KJT76  KJT75  KJT74  KJT73  KJT72  KJT65  KJT64  KJT63  KJT62  KJT54
     KJT53  KJT52  KJT43  KJT42  KJT32  KJ987  KJ986  KJ985  KJ984  KJ983  KJ982  KJ976  KJ975  KJ974  KJ973  KJ972  KJ965  KJ964  KJ963  KJ962  KJ954  KJ953
     KJ952  KJ943  KJ942  KJ932  KJ876  KJ875  KJ874  KJ873  KJ872  KJ865  KJ864  KJ863  KJ862  KJ854  KJ853  KJ852  KJ843  KJ842  KJ832  KJ765  KJ764  KJ763
     KJ762  KJ754  KJ753  KJ752  KJ743  KJ742  KJ732  KJ654  KJ653  KJ652  KJ643  KJ642  KJ632  KJ543  KJ542  KJ532  KJ432  KT987  KT986  KT985  KT984  KT983
     KT982  KT976  KT975  KT974  KT973  KT972  KT965  KT964  KT963  KT962  KT954  KT953  KT952  KT943  KT942  KT932  KT876  KT875  KT874  KT873  KT872  KT865
     KT864  KT863  KT862  KT854  KT853  KT852  KT843  KT842  KT832  KT765  KT764  KT763  KT762  KT754  KT753  KT752  KT743  KT742  KT732  KT654  KT653  KT652
     KT643  KT642  KT632  KT543  KT542  KT532  KT432  K9876  K9875  K9874  K9873  K9872  K9865  K9864  K9863  K9862  K9854  K9853  K9852  K9843  K9842  K9832
     K9765  K9764  K9763  K9762  K9754  K9753  K9752  K9743  K9742  K9732  K9654  K9653  K9652  K9643  K9642  K9632  K9543  K9542  K9532  K9432  K8765  K8764
     K8763  K8762  K8754  K8753  K8752  K8743  K8742  K8732  K8654  K8653  K8652  K8643  K8642  K8632  K8543  K8542  K8532  K8432  K7654  K7653  K7652  K7643
     K7642  K7632  K7543  K7542  K7532  K7432  K6543  K6542  K6532  K6432  K5432  QJT97  QJT96  QJT95  QJT94  QJT93  QJT92  QJT87  QJT86  QJT85  QJT84  QJT83
     QJT82  QJT76  QJT75  QJT74  QJT73  QJT72  QJT65  QJT64  QJT63  QJT62  QJT54  QJT53  QJT52  QJT43  QJT42  QJT32  QJ987  QJ986  QJ985  QJ984  QJ983  QJ982
     QJ976  QJ975  QJ974  QJ973  QJ972  QJ965  QJ964  QJ963  QJ962  QJ954  QJ953  QJ952  QJ943  QJ942  QJ932  QJ876  QJ875  QJ874  QJ873  QJ872  QJ865  QJ864
     QJ863  QJ862  QJ854  QJ853  QJ852  QJ843  QJ842  QJ832  QJ765  QJ764  QJ763  QJ762  QJ754  QJ753  QJ752  QJ743  QJ742  QJ732  QJ654  QJ653  QJ652  QJ643
     QJ642  QJ632  QJ543  QJ542  QJ532  QJ432  QT987  QT986  QT985  QT984  QT983  QT982  QT976  QT975  QT974  QT973  QT972  QT965  QT964  QT963  QT962  QT954
     QT953  QT952  QT943  QT942  QT932  QT876  QT875  QT874  QT873  QT872  QT865  QT864  QT863  QT862  QT854  QT853  QT852  QT843  QT842  QT832  QT765  QT764
     QT763  QT762  QT754  QT753  QT752  QT743  QT742  QT732  QT654  QT653  QT652  QT643  QT642  QT632  QT543  QT542  QT532  QT432  Q9876  Q9875  Q9874  Q9873
     Q9872  Q9865  Q9864  Q9863  Q9862  Q9854  Q9853  Q9852  Q9843  Q9842  Q9832  Q9765  Q9764  Q9763  Q9762  Q9754  Q9753  Q9752  Q9743  Q9742  Q9732  Q9654
     Q9653  Q9652  Q9643  Q9642  Q9632  Q9543  Q9542  Q9532  Q9432  Q8765  Q8764  Q8763  Q8762  Q8754  Q8753  Q8752  Q8743  Q8742  Q8732  Q8654  Q8653  Q8652
     Q8643  Q8642  Q8632  Q8543  Q8542  Q8532  Q8432  Q7654  Q7653  Q7652  Q7643  Q7642  Q7632  Q7543  Q7542  Q7532  Q7432  Q6543  Q6542  Q6532  Q6432  Q5432
     JT986  JT985  JT984  JT983  JT982  JT976  JT975  JT974  JT973  JT972  JT965  JT964  JT963  JT962  JT954  JT953  JT952  JT943  JT942  JT932  JT876  JT875
     JT874  JT873  JT872  JT865  JT864  JT863  JT862  JT854  JT853  JT852  JT843  JT842  JT832  JT765  JT764  JT763  JT762  JT754  JT753  JT752  JT743  JT742
     JT732  JT654  JT653  JT652  JT643  JT642  JT632  JT543  JT542  JT532  JT432  J9876  J9875  J9874  J9873  J9872  J9865  J9864  J9863  J9862  J9854  J9853
     J9852  J9843  J9842  J9832  J9765  J9764  J9763  J9762  J9754  J9753  J9752  J9743  J9742  J9732  J9654  J9653  J9652  J9643  J9642  J9632  J9543  J9542
     J9532  J9432  J8765  J8764  J8763  J8762  J8754  J8753  J8752  J8743  J8742  J8732  J8654  J8653  J8652  J8643  J8642  J8632  J8543  J8542  J8532  J8432
     J7654  J7653  J7652  J7643  J7642  J7632  J7543  J7542  J7532  J7432  J6543  J6542  J6532  J6432  J5432  T9875  T9874  T9873  T9872  T9865  T9864  T9863
     T9862  T9854  T9853  T9852  T9843  T9842  T9832  T9765  T9764  T9763  T9762  T9754  T9753  T9752  T9743  T9742  T9732  T9654  T9653  T9652  T9643  T9642
     T9632  T9543  T9542  T9532  T9432  T8765  T8764  T8763  T8762  T8754  T8753  T8752  T8743  T8742  T8732  T8654  T8653  T8652  T8643  T8642  T8632  T8543
     T8542  T8532  T8432  T7654  T7653  T7652  T7643  T7642  T7632  T7543  T7542  T7532  T7432  T6543  T6542  T6532  T6432  T5432  98764  98763  98762  98754
     98753  98752  98743  98742  98732  98654  98653  98652  98643  98642  98632  98543  98542  98532  98432  97654  97653  97652  97643  97642  97632  97543
     97542  97532  97432  96543  96542  96532  96432  95432  87653  87652  87643  87642  87632  87543  87542  87532  87432  86543  86542  86532  86432  85432
     76542  76532  76432  75432  ) ], # SuitAbstracted B64 Holes BlO in blox of 11 && rows of 44,44,44,37 for total of 169 gener8d from mksab64l.pl
  'sabh' => [ qw(
     AB AE AF AI AJ AM AN AQ AR AU AV        AY AZ Ac Ad Ag Ah Ak Al Ao Ap As        At Aw Ax EF EI EJ EM EN EQ ER EU        EV EY EZ Ec Ed Eg Eh Ek El Eo Ep
     Es Et Ew Ex IJ IM IN IQ IR IU IV        IY IZ Ic Id Ig Ih Ik Il Io Ip Is        It Iw Ix MN MQ MR MU MV MY MZ Mc        Md Mg Mh Mk Ml Mo Mp Ms Mt Mw Mx
     QR QU QV QY QZ Qc Qd Qg Qh Qk Ql        Qo Qp Qs Qt Qw Qx UV UY UZ Uc Ud        Ug Uh Uk Ul Uo Up Us Ut Uw Ux YZ        Yc Yd Yg Yh Yk Yl Yo Yp Ys Yt Yw
     Yx cd cg ch ck cl co cp cs ct cw        cx gh gk gl go gp gs gt gw gx kl        ko kp ks kt kw kx op os ot ow ox        st sw sx wx ) ],
  'sabf' => [ qw(
     ABC ABE ABI ABM ABQ ABU ABY ABc ABg ABk ABo ABs ABw AEF AEI AEJ AEM AEN AEQ  AER AEU AEV AEY AEZ AEc AEd AEg AEh AEk AEl AEo AEp AEs AEt AEw AEx AIJ AIM
     AIN AIQ AIR AIU AIV AIY AIZ AIc AId AIg AIh AIk AIl AIo AIp AIs AIt AIw AIx  AMN AMQ AMR AMU AMV AMY AMZ AMc AMd AMg AMh AMk AMl AMo AMp AMs AMt AMw AMx
     AQR AQU AQV AQY AQZ AQc AQd AQg AQh AQk AQl AQo AQp AQs AQt AQw AQx AUV AUY  AUZ AUc AUd AUg AUh AUk AUl AUo AUp AUs AUt AUw AUx AYZ AYc AYd AYg AYh AYk
     AYl AYo AYp AYs AYt AYw AYx Acd Acg Ach Ack Acl Aco Acp Acs Act Acw Acx Agh  Agk Agl Ago Agp Ags Agt Agw Agx Akl Ako Akp Aks Akt Akw Akx Aop Aos Aot Aow
     Aox Ast Asw Asx Awx EFG EFI EFM EFQ EFU EFY EFc EFg EFk EFo EFs EFw EIJ EIM  EIN EIQ EIR EIU EIV EIY EIZ EIc EId EIg EIh EIk EIl EIo EIp EIs EIt EIw EIx
     EMN EMQ EMR EMU EMV EMY EMZ EMc EMd EMg EMh EMk EMl EMo EMp EMs EMt EMw EMx  EQR EQU EQV EQY EQZ EQc EQd EQg EQh EQk EQl EQo EQp EQs EQt EQw EQx EUV EUY
     EUZ EUc EUd EUg EUh EUk EUl EUo EUp EUs EUt EUw EUx EYZ EYc EYd EYg EYh EYk  EYl EYo EYp EYs EYt EYw EYx Ecd Ecg Ech Eck Ecl Eco Ecp Ecs Ect Ecw Ecx Egh
     Egk Egl Ego Egp Egs Egt Egw Egx Ekl Eko Ekp Eks Ekt Ekw Ekx Eop Eos Eot Eow  Eox Est Esw Esx Ewx IJK IJM IJQ IJU IJY IJc IJg IJk IJo IJs IJw IMN IMQ IMR
     IMU IMV IMY IMZ IMc IMd IMg IMh IMk IMl IMo IMp IMs IMt IMw IMx IQR IQU IQV  IQY IQZ IQc IQd IQg IQh IQk IQl IQo IQp IQs IQt IQw IQx IUV IUY IUZ IUc IUd
     IUg IUh IUk IUl IUo IUp IUs IUt IUw IUx IYZ IYc IYd IYg IYh IYk IYl IYo IYp  IYs IYt IYw IYx Icd Icg Ich Ick Icl Ico Icp Ics Ict Icw Icx Igh Igk Igl Igo
     Igp Igs Igt Igw Igx Ikl Iko Ikp Iks Ikt Ikw Ikx Iop Ios Iot Iow Iox Ist Isw  Isx Iwx MNO MNQ MNU MNY MNc MNg MNk MNo MNs MNw MQR MQU MQV MQY MQZ MQc MQd
     MQg MQh MQk MQl MQo MQp MQs MQt MQw MQx MUV MUY MUZ MUc MUd MUg MUh MUk MUl  MUo MUp MUs MUt MUw MUx MYZ MYc MYd MYg MYh MYk MYl MYo MYp MYs MYt MYw MYx
     Mcd Mcg Mch Mck Mcl Mco Mcp Mcs Mct Mcw Mcx Mgh Mgk Mgl Mgo Mgp Mgs Mgt Mgw  Mgx Mkl Mko Mkp Mks Mkt Mkw Mkx Mop Mos Mot Mow Mox Mst Msw Msx Mwx QRS QRU
     QRY QRc QRg QRk QRo QRs QRw QUV QUY QUZ QUc QUd QUg QUh QUk QUl QUo QUp QUs  QUt QUw QUx QYZ QYc QYd QYg QYh QYk QYl QYo QYp QYs QYt QYw QYx Qcd Qcg Qch
     Qck Qcl Qco Qcp Qcs Qct Qcw Qcx Qgh Qgk Qgl Qgo Qgp Qgs Qgt Qgw Qgx Qkl Qko  Qkp Qks Qkt Qkw Qkx Qop Qos Qot Qow Qox Qst Qsw Qsx Qwx UVW UVY UVc UVg UVk
     UVo UVs UVw UYZ UYc UYd UYg UYh UYk UYl UYo UYp UYs UYt UYw UYx Ucd Ucg Uch  Uck Ucl Uco Ucp Ucs Uct Ucw Ucx Ugh Ugk Ugl Ugo Ugp Ugs Ugt Ugw Ugx Ukl Uko
     Ukp Uks Ukt Ukw Ukx Uop Uos Uot Uow Uox Ust Usw Usx Uwx YZa YZc YZg YZk YZo  YZs YZw Ycd Ycg Ych Yck Ycl Yco Ycp Ycs Yct Ycw Ycx Ygh Ygk Ygl Ygo Ygp Ygs
     Ygt Ygw Ygx Ykl Yko Ykp Yks Ykt Ykw Ykx Yop Yos Yot Yow Yox Yst Ysw Ysx Ywx  cde cdg cdk cdo cds cdw cgh cgk cgl cgo cgp cgs cgt cgw cgx ckl cko ckp cks
     ckt ckw ckx cop cos cot cow cox cst csw csx cwx ghi ghk gho ghs ghw gkl gko  gkp gks gkt gkw gkx gop gos got gow gox gst gsw gsx gwx klm klo kls klw kop
     kos kot kow kox kst ksw ksx kwx opq ops opw ost osw osx owx stu stw swx wxy  ) ], # Suit-Abstracted Base-64 Flops in blox of 19,19 rows of 38+last 19=741
  'sabb' => [ qw(
     ABCDE ABCDI ABCDM ABCDQ ABCDU ABCDY    ABCDc ABCDg ABCDk ABCDo ABCDs ABCDw    ABCEF ABCEI ABCEM ABCEQ ABCEU ABCEY    ABCEc ABCEg ABCEk ABCEo ABCEs ABCEw
     ABCIJ ABCIM ABCIQ ABCIU ABCIY ABCIc    ABCIg ABCIk ABCIo ABCIs ABCIw ABCMN    ABCMQ ABCMU ABCMY ABCMc ABCMg ABCMk    ABCMo ABCMs ABCMw ABCQR ABCQU ABCQY
     ABCQc ABCQg ABCQk ABCQo ABCQs ABCQw    ABCUV ABCUY ABCUc ABCUg ABCUk ABCUo    ABCUs ABCUw ABCYZ ABCYc ABCYg ABCYk    ABCYo ABCYs ABCYw ABCcd ABCcg ABCck
     ABCco ABCcs ABCcw ABCgh ABCgk ABCgo    ABCgs ABCgw ABCkl ABCko ABCks ABCkw    ABCop ABCos ABCow ABCst ABCsw ABCwx    ABEFG ABEFI ABEFM ABEFQ ABEFU ABEFY
     ABEFc ABEFg ABEFk ABEFo ABEFs ABEFw    ABEIJ ABEIM ABEIQ ABEIU ABEIY ABEIc    ABEIg ABEIk ABEIo ABEIs ABEIw ABEMN    ABEMQ ABEMU ABEMY ABEMc ABEMg ABEMk
     ABEMo ABEMs ABEMw ABEQR ABEQU ABEQY    ABEQc ABEQg ABEQk ABEQo ABEQs ABEQw    ABEUV ABEUY ABEUc ABEUg ABEUk ABEUo    ABEUs ABEUw ABEYZ ABEYc ABEYg ABEYk
     ABEYo ABEYs ABEYw ABEcd ABEcg ABEck    ABEco ABEcs ABEcw ABEgh ABEgk ABEgo    ABEgs ABEgw ABEkl ABEko ABEks ABEkw    ABEop ABEos ABEow ABEst ABEsw ABEwx
     ABIJK ABIJM ABIJQ ABIJU ABIJY ABIJc    ABIJg ABIJk ABIJo ABIJs ABIJw ABIMN    ABIMQ ABIMU ABIMY ABIMc ABIMg ABIMk    ABIMo ABIMs ABIMw ABIQR ABIQU ABIQY
     ABIQc ABIQg ABIQk ABIQo ABIQs ABIQw    ABIUV ABIUY ABIUc ABIUg ABIUk ABIUo    ABIUs ABIUw ABIYZ ABIYc ABIYg ABIYk    ABIYo ABIYs ABIYw ABIcd ABIcg ABIck
     ABIco ABIcs ABIcw ABIgh ABIgk ABIgo    ABIgs ABIgw ABIkl ABIko ABIks ABIkw    ABIop ABIos ABIow ABIst ABIsw ABIwx    ABMNO ABMNQ ABMNU ABMNY ABMNc ABMNg
     ABMNk ABMNo ABMNs ABMNw ABMQR ABMQU    ABMQY ABMQc ABMQg ABMQk ABMQo ABMQs    ABMQw ABMUV ABMUY ABMUc ABMUg ABMUk    ABMUo ABMUs ABMUw ABMYZ ABMYc ABMYg
     ABMYk ABMYo ABMYs ABMYw ABMcd ABMcg    ABMck ABMco ABMcs ABMcw ABMgh ABMgk    ABMgo ABMgs ABMgw ABMkl ABMko ABMks    ABMkw ABMop ABMos ABMow ABMst ABMsw
     ABMwx ABQRS ABQRU ABQRY ABQRc ABQRg    ABQRk ABQRo ABQRs ABQRw ABQUV ABQUY    ABQUc ABQUg ABQUk ABQUo ABQUs ABQUw    ABQYZ ABQYc ABQYg ABQYk ABQYo ABQYs
     ABQYw ABQcd ABQcg ABQck ABQco ABQcs    ABQcw ABQgh ABQgk ABQgo ABQgs ABQgw    ABQkl ABQko ABQks ABQkw ABQop ABQos    ABQow ABQst ABQsw ABQwx ABUVW ABUVY
     ABUVc ABUVg ABUVk ABUVo ABUVs ABUVw    ABUYZ ABUYc ABUYg ABUYk ABUYo ABUYs    ABUYw ABUcd ABUcg ABUck ABUco ABUcs    ABUcw ABUgh ABUgk ABUgo ABUgs ABUgw
     ABUkl ABUko ABUks ABUkw ABUop ABUos    ABUow ABUst ABUsw ABUwx ABYZa ABYZc    ABYZg ABYZk ABYZo ABYZs ABYZw ABYcd    ABYcg ABYck ABYco ABYcs ABYcw ABYgh
     ABYgk ABYgo ABYgs ABYgw ABYkl ABYko    ABYks ABYkw ABYop ABYos ABYow ABYst    ABYsw ABYwx ABcde ABcdg ABcdk ABcdo    ABcds ABcdw ABcgh ABcgk ABcgo ABcgs
     ABcgw ABckl ABcko ABcks ABckw ABcop    ABcos ABcow ABcst ABcsw ABcwx ABghi    ABghk ABgho ABghs ABghw ABgkl ABgko    ABgks ABgkw ABgop ABgos ABgow ABgst
     ABgsw ABgwx ABklm ABklo ABkls ABklw    ABkop ABkos ABkow ABkst ABksw ABkwx    ABopq ABops ABopw ABost ABosw ABowx    ABstu ABstw ABswx ABwxy AEFGH AEFGI
     AEFGM AEFGQ AEFGU AEFGY AEFGc AEFGg    AEFGk AEFGo AEFGs AEFGw AEFIJ AEFIM    AEFIQ AEFIU AEFIY AEFIc AEFIg AEFIk    AEFIo AEFIs AEFIw AEFMN AEFMQ AEFMU
     AEFMY AEFMc AEFMg AEFMk AEFMo AEFMs    AEFMw AEFQR AEFQU AEFQY AEFQc AEFQg    AEFQk AEFQo AEFQs AEFQw AEFUV AEFUY    AEFUc AEFUg AEFUk AEFUo AEFUs AEFUw
     AEFYZ AEFYc AEFYg AEFYk AEFYo AEFYs    AEFYw AEFcd AEFcg AEFck AEFco AEFcs    AEFcw AEFgh AEFgk AEFgo AEFgs AEFgw    AEFkl AEFko AEFks AEFkw AEFop AEFos
     AEFow AEFst AEFsw AEFwx AEIJK AEIJM    AEIJQ AEIJU AEIJY AEIJc AEIJg AEIJk    AEIJo AEIJs AEIJw AEIMN AEIMQ AEIMR    AEIMU AEIMV AEIMY AEIMZ AEIMc AEIMd
     AEIMg AEIMh AEIMk AEIMl AEIMo AEIMp    AEIMs AEIMt AEIMw AEIMx AEIQR AEIQU    AEIQV AEIQY AEIQZ AEIQc AEIQd AEIQg    AEIQh AEIQk AEIQl AEIQo AEIQp AEIQs
     AEIQt AEIQw AEIQx AEIUV AEIUY AEIUZ    AEIUc AEIUd AEIUg AEIUh AEIUk AEIUl    AEIUo AEIUp AEIUs AEIUt AEIUw AEIUx    AEIYZ AEIYc AEIYd AEIYg AEIYh AEIYk
     AEIYl AEIYo AEIYp AEIYs AEIYt AEIYw    AEIYx AEIcd AEIcg AEIch AEIck AEIcl    AEIco AEIcp AEIcs AEIct AEIcw AEIcx    AEIgh AEIgk AEIgl AEIgo AEIgp AEIgs
     AEIgt AEIgw AEIgx AEIkl AEIko AEIkp    AEIks AEIkt AEIkw AEIkx AEIop AEIos    AEIot AEIow AEIox AEIst AEIsw AEIsx    AEIwx AEMNO AEMNQ AEMNU AEMNY AEMNc
     AEMNg AEMNk AEMNo AEMNs AEMNw AEMQR    AEMQU AEMQV AEMQY AEMQZ AEMQc AEMQd    AEMQg AEMQh AEMQk AEMQl AEMQo AEMQp    AEMQs AEMQt AEMQw AEMQx AEMUV AEMUY
     AEMUZ AEMUc AEMUd AEMUg AEMUh AEMUk    AEMUl AEMUo AEMUp AEMUs AEMUt AEMUw    AEMUx AEMYZ AEMYc AEMYd AEMYg AEMYh    AEMYk AEMYl AEMYo AEMYp AEMYs AEMYt
     AEMYw AEMYx AEMcd AEMcg AEMch AEMck    AEMcl AEMco AEMcp AEMcs AEMct AEMcw    AEMcx AEMgh AEMgk AEMgl AEMgo AEMgp    AEMgs AEMgt AEMgw AEMgx AEMkl AEMko
     AEMkp AEMks AEMkt AEMkw AEMkx AEMop    AEMos AEMot AEMow AEMox AEMst AEMsw    AEMsx AEMwx AEQRS AEQRU AEQRY AEQRc    AEQRg AEQRk AEQRo AEQRs AEQRw AEQUV
     AEQUY AEQUZ AEQUc AEQUd AEQUg AEQUh    AEQUk AEQUl AEQUo AEQUp AEQUs AEQUt    AEQUw AEQUx AEQYZ AEQYc AEQYd AEQYg    AEQYh AEQYk AEQYl AEQYo AEQYp AEQYs
     AEQYt AEQYw AEQYx AEQcd AEQcg AEQch    AEQck AEQcl AEQco AEQcp AEQcs AEQct    AEQcw AEQcx AEQgh AEQgk AEQgl AEQgo    AEQgp AEQgs AEQgt AEQgw AEQgx AEQkl
     AEQko AEQkp AEQks AEQkt AEQkw AEQkx    AEQop AEQos AEQot AEQow AEQox AEQst    AEQsw AEQsx AEQwx AEUVW AEUVY AEUVc    AEUVg AEUVk AEUVo AEUVs AEUVw AEUYZ
     AEUYc AEUYd AEUYg AEUYh AEUYk AEUYl    AEUYo AEUYp AEUYs AEUYt AEUYw AEUYx    AEUcd AEUcg AEUch AEUck AEUcl AEUco    AEUcp AEUcs AEUct AEUcw AEUcx AEUgh
     AEUgk AEUgl AEUgo AEUgp AEUgs AEUgt    AEUgw AEUgx AEUkl AEUko AEUkp AEUks    AEUkt AEUkw AEUkx AEUop AEUos AEUot    AEUow AEUox AEUst AEUsw AEUsx AEUwx
     AEYZa AEYZc AEYZg AEYZk AEYZo AEYZs    AEYZw AEYcd AEYcg AEYch AEYck AEYcl    AEYco AEYcp AEYcs AEYct AEYcw AEYcx    AEYgh AEYgk AEYgl AEYgo AEYgp AEYgs
     AEYgt AEYgw AEYgx AEYkl AEYko AEYkp    AEYks AEYkt AEYkw AEYkx AEYop AEYos    AEYot AEYow AEYox AEYst AEYsw AEYsx    AEYwx AEcde AEcdg AEcdk AEcdo AEcds
     AEcdw AEcgh AEcgk AEcgl AEcgo AEcgp    AEcgs AEcgt AEcgw AEcgx AEckl AEcko    AEckp AEcks AEckt AEckw AEckx AEcop    AEcos AEcot AEcow AEcox AEcst AEcsw
     AEcsx AEcwx AEghi AEghk AEgho AEghs    AEghw AEgkl AEgko AEgkp AEgks AEgkt    AEgkw AEgkx AEgop AEgos AEgot AEgow    AEgox AEgst AEgsw AEgsx AEgwx AEklm
     AEklo AEkls AEklw AEkop AEkos AEkot    AEkow AEkox AEkst AEksw AEksx AEkwx    AEopq AEops AEopw AEost AEosw AEosx    AEowx AEstu AEstw AEswx AEwxy AIJKL
     AIJKM AIJKQ AIJKU AIJKY AIJKc AIJKg    AIJKk AIJKo AIJKs AIJKw AIJMN AIJMQ    AIJMU AIJMY AIJMc AIJMg AIJMk AIJMo    AIJMs AIJMw AIJQR AIJQU AIJQY AIJQc
     AIJQg AIJQk AIJQo AIJQs AIJQw AIJUV    AIJUY AIJUc AIJUg AIJUk AIJUo AIJUs    AIJUw AIJYZ AIJYc AIJYg AIJYk AIJYo    AIJYs AIJYw AIJcd AIJcg AIJck AIJco
     AIJcs AIJcw AIJgh AIJgk AIJgo AIJgs    AIJgw AIJkl AIJko AIJks AIJkw AIJop    AIJos AIJow AIJst AIJsw AIJwx AIMNO    AIMNQ AIMNU AIMNY AIMNc AIMNg AIMNk
     AIMNo AIMNs AIMNw AIMQR AIMQU AIMQV    AIMQY AIMQZ AIMQc AIMQd AIMQg AIMQh    AIMQk AIMQl AIMQo AIMQp AIMQs AIMQt    AIMQw AIMQx AIMUV AIMUY AIMUZ AIMUc
     AIMUd AIMUg AIMUh AIMUk AIMUl AIMUo    AIMUp AIMUs AIMUt AIMUw AIMUx AIMYZ    AIMYc AIMYd AIMYg AIMYh AIMYk AIMYl    AIMYo AIMYp AIMYs AIMYt AIMYw AIMYx
     AIMcd AIMcg AIMch AIMck AIMcl AIMco    AIMcp AIMcs AIMct AIMcw AIMcx AIMgh    AIMgk AIMgl AIMgo AIMgp AIMgs AIMgt    AIMgw AIMgx AIMkl AIMko AIMkp AIMks
     AIMkt AIMkw AIMkx AIMop AIMos AIMot    AIMow AIMox AIMst AIMsw AIMsx AIMwx    AIQRS AIQRU AIQRY AIQRc AIQRg AIQRk    AIQRo AIQRs AIQRw AIQUV AIQUY AIQUZ
     AIQUc AIQUd AIQUg AIQUh AIQUk AIQUl    AIQUo AIQUp AIQUs AIQUt AIQUw AIQUx    AIQYZ AIQYc AIQYd AIQYg AIQYh AIQYk    AIQYl AIQYo AIQYp AIQYs AIQYt AIQYw
     AIQYx AIQcd AIQcg AIQch AIQck AIQcl    AIQco AIQcp AIQcs AIQct AIQcw AIQcx    AIQgh AIQgk AIQgl AIQgo AIQgp AIQgs    AIQgt AIQgw AIQgx AIQkl AIQko AIQkp
     AIQks AIQkt AIQkw AIQkx AIQop AIQos    AIQot AIQow AIQox AIQst AIQsw AIQsx    AIQwx AIUVW AIUVY AIUVc AIUVg AIUVk    AIUVo AIUVs AIUVw AIUYZ AIUYc AIUYd
     AIUYg AIUYh AIUYk AIUYl AIUYo AIUYp    AIUYs AIUYt AIUYw AIUYx AIUcd AIUcg    AIUch AIUck AIUcl AIUco AIUcp AIUcs    AIUct AIUcw AIUcx AIUgh AIUgk AIUgl
     AIUgo AIUgp AIUgs AIUgt AIUgw AIUgx    AIUkl AIUko AIUkp AIUks AIUkt AIUkw    AIUkx AIUop AIUos AIUot AIUow AIUox    AIUst AIUsw AIUsx AIUwx AIYZa AIYZc
     AIYZg AIYZk AIYZo AIYZs AIYZw AIYcd    AIYcg AIYch AIYck AIYcl AIYco AIYcp    AIYcs AIYct AIYcw AIYcx AIYgh AIYgk    AIYgl AIYgo AIYgp AIYgs AIYgt AIYgw
     AIYgx AIYkl AIYko AIYkp AIYks AIYkt    AIYkw AIYkx AIYop AIYos AIYot AIYow    AIYox AIYst AIYsw AIYsx AIYwx AIcde    AIcdg AIcdk AIcdo AIcds AIcdw AIcgh
     AIcgk AIcgl AIcgo AIcgp AIcgs AIcgt    AIcgw AIcgx AIckl AIcko AIckp AIcks    AIckt AIckw AIckx AIcop AIcos AIcot    AIcow AIcox AIcst AIcsw AIcsx AIcwx
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     MYksx MYkwx MYopq MYops MYopw MYost    MYosw MYosx MYowx MYstu MYstw MYswx    MYwxy Mcdef Mcdeg Mcdek Mcdeo Mcdes    Mcdew Mcdgh Mcdgk Mcdgo Mcdgs Mcdgw
     Mcdkl Mcdko Mcdks Mcdkw Mcdop Mcdos    Mcdow Mcdst Mcdsw Mcdwx Mcghi Mcghk    Mcgho Mcghs Mcghw Mcgkl Mcgko Mcgkp    Mcgks Mcgkt Mcgkw Mcgkx Mcgop Mcgos
     Mcgot Mcgow Mcgox Mcgst Mcgsw Mcgsx    Mcgwx Mcklm Mcklo Mckls Mcklw Mckop    Mckos Mckot Mckow Mckox Mckst Mcksw    Mcksx Mckwx Mcopq Mcops Mcopw Mcost
     Mcosw Mcosx Mcowx Mcstu Mcstw Mcswx    Mcwxy Mghij Mghik Mghio Mghis Mghiw    Mghkl Mghko Mghks Mghkw Mghop Mghos    Mghow Mghst Mghsw Mghwx Mgklm Mgklo
     Mgkls Mgklw Mgkop Mgkos Mgkot Mgkow    Mgkox Mgkst Mgksw Mgksx Mgkwx Mgopq    Mgops Mgopw Mgost Mgosw Mgosx Mgowx    Mgstu Mgstw Mgswx Mgwxy Mklmn Mklmo
     Mklms Mklmw Mklop Mklos Mklow Mklst    Mklsw Mklwx Mkopq Mkops Mkopw Mkost    Mkosw Mkosx Mkowx Mkstu Mkstw Mkswx    Mkwxy Mopqr Mopqs Mopqw Mopst Mopsw
     Mopwx Mostu Mostw Moswx Mowxy Mstuv    Mstuw Mstwx Mswxy Mwxyz QRSTU QRSTY    QRSTc QRSTg QRSTk QRSTo QRSTs QRSTw    QRSUV QRSUY QRSUc QRSUg QRSUk QRSUo
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     QRSop QRSos QRSow QRSst QRSsw QRSwx    QRUVW QRUVY QRUVc QRUVg QRUVk QRUVo    QRUVs QRUVw QRUYZ QRUYc QRUYg QRUYk    QRUYo QRUYs QRUYw QRUcd QRUcg QRUck
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     QRYZw QRYcd QRYcg QRYck QRYco QRYcs    QRYcw QRYgh QRYgk QRYgo QRYgs QRYgw    QRYkl QRYko QRYks QRYkw QRYop QRYos    QRYow QRYst QRYsw QRYwx QRcde QRcdg
     QRcdk QRcdo QRcds QRcdw QRcgh QRcgk    QRcgo QRcgs QRcgw QRckl QRcko QRcks    QRckw QRcop QRcos QRcow QRcst QRcsw    QRcwx QRghi QRghk QRgho QRghs QRghw
     QRgkl QRgko QRgks QRgkw QRgop QRgos    QRgow QRgst QRgsw QRgwx QRklm QRklo    QRkls QRklw QRkop QRkos QRkow QRkst    QRksw QRkwx QRopq QRops QRopw QRost
     QRosw QRowx QRstu QRstw QRswx QRwxy    QUVWX QUVWY QUVWc QUVWg QUVWk QUVWo    QUVWs QUVWw QUVYZ QUVYc QUVYg QUVYk    QUVYo QUVYs QUVYw QUVcd QUVcg QUVck
     QUVco QUVcs QUVcw QUVgh QUVgk QUVgo    QUVgs QUVgw QUVkl QUVko QUVks QUVkw    QUVop QUVos QUVow QUVst QUVsw QUVwx    QUYZa QUYZc QUYZg QUYZk QUYZo QUYZs
     QUYZw QUYcd QUYcg QUYch QUYck QUYcl    QUYco QUYcp QUYcs QUYct QUYcw QUYcx    QUYgh QUYgk QUYgl QUYgo QUYgp QUYgs    QUYgt QUYgw QUYgx QUYkl QUYko QUYkp
     QUYks QUYkt QUYkw QUYkx QUYop QUYos    QUYot QUYow QUYox QUYst QUYsw QUYsx    QUYwx QUcde QUcdg QUcdk QUcdo QUcds    QUcdw QUcgh QUcgk QUcgl QUcgo QUcgp
     QUcgs QUcgt QUcgw QUcgx QUckl QUcko    QUckp QUcks QUckt QUckw QUckx QUcop    QUcos QUcot QUcow QUcox QUcst QUcsw    QUcsx QUcwx QUghi QUghk QUgho QUghs
     QUghw QUgkl QUgko QUgkp QUgks QUgkt    QUgkw QUgkx QUgop QUgos QUgot QUgow    QUgox QUgst QUgsw QUgsx QUgwx QUklm    QUklo QUkls QUklw QUkop QUkos QUkot
     QUkow QUkox QUkst QUksw QUksx QUkwx    QUopq QUops QUopw QUost QUosw QUosx    QUowx QUstu QUstw QUswx QUwxy QYZab    QYZac QYZag QYZak QYZao QYZas QYZaw
     QYZcd QYZcg QYZck QYZco QYZcs QYZcw    QYZgh QYZgk QYZgo QYZgs QYZgw QYZkl    QYZko QYZks QYZkw QYZop QYZos QYZow    QYZst QYZsw QYZwx QYcde QYcdg QYcdk
     QYcdo QYcds QYcdw QYcgh QYcgk QYcgl    QYcgo QYcgp QYcgs QYcgt QYcgw QYcgx    QYckl QYcko QYckp QYcks QYckt QYckw    QYckx QYcop QYcos QYcot QYcow QYcox
     QYcst QYcsw QYcsx QYcwx QYghi QYghk    QYgho QYghs QYghw QYgkl QYgko QYgkp    QYgks QYgkt QYgkw QYgkx QYgop QYgos    QYgot QYgow QYgox QYgst QYgsw QYgsx
     QYgwx QYklm QYklo QYkls QYklw QYkop    QYkos QYkot QYkow QYkox QYkst QYksw    QYksx QYkwx QYopq QYops QYopw QYost    QYosw QYosx QYowx QYstu QYstw QYswx
     QYwxy Qcdef Qcdeg Qcdek Qcdeo Qcdes    Qcdew Qcdgh Qcdgk Qcdgo Qcdgs Qcdgw    Qcdkl Qcdko Qcdks Qcdkw Qcdop Qcdos    Qcdow Qcdst Qcdsw Qcdwx Qcghi Qcghk
     Qcgho Qcghs Qcghw Qcgkl Qcgko Qcgkp    Qcgks Qcgkt Qcgkw Qcgkx Qcgop Qcgos    Qcgot Qcgow Qcgox Qcgst Qcgsw Qcgsx    Qcgwx Qcklm Qcklo Qckls Qcklw Qckop
     Qckos Qckot Qckow Qckox Qckst Qcksw    Qcksx Qckwx Qcopq Qcops Qcopw Qcost    Qcosw Qcosx Qcowx Qcstu Qcstw Qcswx    Qcwxy Qghij Qghik Qghio Qghis Qghiw
     Qghkl Qghko Qghks Qghkw Qghop Qghos    Qghow Qghst Qghsw Qghwx Qgklm Qgklo    Qgkls Qgklw Qgkop Qgkos Qgkot Qgkow    Qgkox Qgkst Qgksw Qgksx Qgkwx Qgopq
     Qgops Qgopw Qgost Qgosw Qgosx Qgowx    Qgstu Qgstw Qgswx Qgwxy Qklmn Qklmo    Qklms Qklmw Qklop Qklos Qklow Qklst    Qklsw Qklwx Qkopq Qkops Qkopw Qkost
     Qkosw Qkosx Qkowx Qkstu Qkstw Qkswx    Qkwxy Qopqr Qopqs Qopqw Qopst Qopsw    Qopwx Qostu Qostw Qoswx Qowxy Qstuv    Qstuw Qstwx Qswxy Qwxyz UVWXY UVWXc
     UVWXg UVWXk UVWXo UVWXs UVWXw UVWYZ    UVWYc UVWYg UVWYk UVWYo UVWYs UVWYw    UVWcd UVWcg UVWck UVWco UVWcs UVWcw    UVWgh UVWgk UVWgo UVWgs UVWgw UVWkl
     UVWko UVWks UVWkw UVWop UVWos UVWow    UVWst UVWsw UVWwx UVYZa UVYZc UVYZg    UVYZk UVYZo UVYZs UVYZw UVYcd UVYcg    UVYck UVYco UVYcs UVYcw UVYgh UVYgk
     UVYgo UVYgs UVYgw UVYkl UVYko UVYks    UVYkw UVYop UVYos UVYow UVYst UVYsw    UVYwx UVcde UVcdg UVcdk UVcdo UVcds    UVcdw UVcgh UVcgk UVcgo UVcgs UVcgw
     UVckl UVcko UVcks UVckw UVcop UVcos    UVcow UVcst UVcsw UVcwx UVghi UVghk    UVgho UVghs UVghw UVgkl UVgko UVgks    UVgkw UVgop UVgos UVgow UVgst UVgsw
     UVgwx UVklm UVklo UVkls UVklw UVkop    UVkos UVkow UVkst UVksw UVkwx UVopq    UVops UVopw UVost UVosw UVowx UVstu    UVstw UVswx UVwxy UYZab UYZac UYZag
     UYZak UYZao UYZas UYZaw UYZcd UYZcg    UYZck UYZco UYZcs UYZcw UYZgh UYZgk    UYZgo UYZgs UYZgw UYZkl UYZko UYZks    UYZkw UYZop UYZos UYZow UYZst UYZsw
     UYZwx UYcde UYcdg UYcdk UYcdo UYcds    UYcdw UYcgh UYcgk UYcgl UYcgo UYcgp    UYcgs UYcgt UYcgw UYcgx UYckl UYcko    UYckp UYcks UYckt UYckw UYckx UYcop
     UYcos UYcot UYcow UYcox UYcst UYcsw    UYcsx UYcwx UYghi UYghk UYgho UYghs    UYghw UYgkl UYgko UYgkp UYgks UYgkt    UYgkw UYgkx UYgop UYgos UYgot UYgow
     UYgox UYgst UYgsw UYgsx UYgwx UYklm    UYklo UYkls UYklw UYkop UYkos UYkot    UYkow UYkox UYkst UYksw UYksx UYkwx    UYopq UYops UYopw UYost UYosw UYosx
     UYowx UYstu UYstw UYswx UYwxy Ucdef    Ucdeg Ucdek Ucdeo Ucdes Ucdew Ucdgh    Ucdgk Ucdgo Ucdgs Ucdgw Ucdkl Ucdko    Ucdks Ucdkw Ucdop Ucdos Ucdow Ucdst
     Ucdsw Ucdwx Ucghi Ucghk Ucgho Ucghs    Ucghw Ucgkl Ucgko Ucgkp Ucgks Ucgkt    Ucgkw Ucgkx Ucgop Ucgos Ucgot Ucgow    Ucgox Ucgst Ucgsw Ucgsx Ucgwx Ucklm
     Ucklo Uckls Ucklw Uckop Uckos Uckot    Uckow Uckox Uckst Ucksw Ucksx Uckwx    Ucopq Ucops Ucopw Ucost Ucosw Ucosx    Ucowx Ucstu Ucstw Ucswx Ucwxy Ughij
     Ughik Ughio Ughis Ughiw Ughkl Ughko    Ughks Ughkw Ughop Ughos Ughow Ughst    Ughsw Ughwx Ugklm Ugklo Ugkls Ugklw    Ugkop Ugkos Ugkot Ugkow Ugkox Ugkst
     Ugksw Ugksx Ugkwx Ugopq Ugops Ugopw    Ugost Ugosw Ugosx Ugowx Ugstu Ugstw    Ugswx Ugwxy Uklmn Uklmo Uklms Uklmw    Uklop Uklos Uklow Uklst Uklsw Uklwx
     Ukopq Ukops Ukopw Ukost Ukosw Ukosx    Ukowx Ukstu Ukstw Ukswx Ukwxy Uopqr    Uopqs Uopqw Uopst Uopsw Uopwx Uostu    Uostw Uoswx Uowxy Ustuv Ustuw Ustwx
     Uswxy Uwxyz YZabc YZabg YZabk YZabo    YZabs YZabw YZacd YZacg YZack YZaco    YZacs YZacw YZagh YZagk YZago YZags    YZagw YZakl YZako YZaks YZakw YZaop
     YZaos YZaow YZast YZasw YZawx YZcde    YZcdg YZcdk YZcdo YZcds YZcdw YZcgh    YZcgk YZcgo YZcgs YZcgw YZckl YZcko    YZcks YZckw YZcop YZcos YZcow YZcst
     YZcsw YZcwx YZghi YZghk YZgho YZghs    YZghw YZgkl YZgko YZgks YZgkw YZgop    YZgos YZgow YZgst YZgsw YZgwx YZklm    YZklo YZkls YZklw YZkop YZkos YZkow
     YZkst YZksw YZkwx YZopq YZops YZopw    YZost YZosw YZowx YZstu YZstw YZswx    YZwxy Ycdef Ycdeg Ycdek Ycdeo Ycdes    Ycdew Ycdgh Ycdgk Ycdgo Ycdgs Ycdgw
     Ycdkl Ycdko Ycdks Ycdkw Ycdop Ycdos    Ycdow Ycdst Ycdsw Ycdwx Ycghi Ycghk    Ycgho Ycghs Ycghw Ycgkl Ycgko Ycgkp    Ycgks Ycgkt Ycgkw Ycgkx Ycgop Ycgos
     Ycgot Ycgow Ycgox Ycgst Ycgsw Ycgsx    Ycgwx Ycklm Ycklo Yckls Ycklw Yckop    Yckos Yckot Yckow Yckox Yckst Ycksw    Ycksx Yckwx Ycopq Ycops Ycopw Ycost
     Ycosw Ycosx Ycowx Ycstu Ycstw Ycswx    Ycwxy Yghij Yghik Yghio Yghis Yghiw    Yghkl Yghko Yghks Yghkw Yghop Yghos    Yghow Yghst Yghsw Yghwx Ygklm Ygklo
     Ygkls Ygklw Ygkop Ygkos Ygkot Ygkow    Ygkox Ygkst Ygksw Ygksx Ygkwx Ygopq    Ygops Ygopw Ygost Ygosw Ygosx Ygowx    Ygstu Ygstw Ygswx Ygwxy Yklmn Yklmo
     Yklms Yklmw Yklop Yklos Yklow Yklst    Yklsw Yklwx Ykopq Ykops Ykopw Ykost    Ykosw Ykosx Ykowx Ykstu Ykstw Ykswx    Ykwxy Yopqr Yopqs Yopqw Yopst Yopsw
     Yopwx Yostu Yostw Yoswx Yowxy Ystuv    Ystuw Ystwx Yswxy Ywxyz cdefg cdefk    cdefo cdefs cdefw cdegh cdegk cdego    cdegs cdegw cdekl cdeko cdeks cdekw
     cdeop cdeos cdeow cdest cdesw cdewx    cdghi cdghk cdgho cdghs cdghw cdgkl    cdgko cdgks cdgkw cdgop cdgos cdgow    cdgst cdgsw cdgwx cdklm cdklo cdkls
     cdklw cdkop cdkos cdkow cdkst cdksw    cdkwx cdopq cdops cdopw cdost cdosw    cdowx cdstu cdstw cdswx cdwxy cghij    cghik cghio cghis cghiw cghkl cghko
     cghks cghkw cghop cghos cghow cghst    cghsw cghwx cgklm cgklo cgkls cgklw    cgkop cgkos cgkot cgkow cgkox cgkst    cgksw cgksx cgkwx cgopq cgops cgopw
     cgost cgosw cgosx cgowx cgstu cgstw    cgswx cgwxy cklmn cklmo cklms cklmw    cklop cklos cklow cklst cklsw cklwx    ckopq ckops ckopw ckost ckosw ckosx
     ckowx ckstu ckstw ckswx ckwxy copqr    copqs copqw copst copsw copwx costu    costw coswx cowxy cstuv cstuw cstwx    cswxy cwxyz ghijk ghijo ghijs ghijw
     ghikl ghiko ghiks ghikw ghiop ghios    ghiow ghist ghisw ghiwx ghklm ghklo    ghkls ghklw ghkop ghkos ghkow ghkst    ghksw ghkwx ghopq ghops ghopw ghost
     ghosw ghowx ghstu ghstw ghswx ghwxy    gklmn gklmo gklms gklmw gklop gklos    gklow gklst gklsw gklwx gkopq gkops    gkopw gkost gkosw gkosx gkowx gkstu
     gkstw gkswx gkwxy gopqr gopqs gopqw    gopst gopsw gopwx gostu gostw goswx    gowxy gstuv gstuw gstwx gswxy gwxyz    klmno klmns klmnw klmop klmos klmow
     klmst klmsw klmwx klopq klops klopw    klost klosw klowx klstu klstw klswx    klwxy kopqr kopqs kopqw kopst kopsw    kopwx kostu kostw koswx kowxy kstuv
     kstuw kstwx kswxy kwxyz opqrs opqrw    opqst opqsw opqwx opstu opstw opswx    opwxy ostuv ostuw ostwx oswxy owxyz    stuvw stuwx stwxy swxyz ) ], # 7462
  'coun' => { # important Poker data counts and totals
    'rivers'                     =>         '46',   # choo(46, 1) after turn
    'turns'                      =>         '47',   # choo(47, 1) after hole+flop
    'shorthand_holes'            =>        '169',   # same #of SuitAbstracted too
    'shorthand_flops'            =>        '741',   # same #of SuitAbstracted too
    'heads_up_holes'             =>        '990',   # choo(45, 2) after board
    'holes'                      =>       '1326',   # choo(52, 2)
    'turns_&&_rivers'            =>       '2162',   # 46 * 47
    'turns_and_rivers'           =>       '2162',   # 46 * 47
    'shorthand_hands'            =>       '7462',   #             same #of boards
    'flops_after_hole'           =>      '19600',   # choo(50, 3)
    'flops'                      =>      '22100',   # choo(52, 3)
    'boards_after_hole'          =>    '2118760',   # choo(50, 5)
    'hands'                      =>    '2598960',   # choo(52, 5) same #of boards
    'holes_&&_boards'            =>  '133784560',   # choo(52, 7)
    'holes_and_boards'           =>  '133784560',   # choo(52, 7)
    'heads_up_compares_per_hole' => '2097572400',}, # choo(50, 5) * choo(45, 2)
  'namz' => { # hand score range starts and names
       '0' =>     'Royal Flush',   #  Royal     Flush    0           1
       '1' =>  'Straight Flush',   #  Straight  Flush    1..   9     9
      '10' =>  'Four-of-a-Kind',   #  Four -of-a-Kind   10.. 165   156
     '166' =>  'Full House'    ,   #  Full      House  166.. 321   156
     '322' =>           'Flush',   #            Flush  322..1598  1277
    '1599' =>  'Straight'      ,   #  Straight        1599..1608    10
    '1609' => 'Three-of-a-Kind',   #  Three-of-a-Kind 1609..2466   858
    '2467' =>   'Two Pair'     ,   #  Two        Pair 2467..3324   858
    '3325' =>   'One Pair'     ,   #  One        Pair 3325..6184  2860
    '6185' =>  'High Card'     ,}, #  High       Card 6185..7461  1277
  'rprg' => [ qw( A K Q J T   9 8 7 6 5   4 3 2 ) ], # rank and suit progressions and names
  'sprg' => [ qw( s      h       d        c     ) ], # Spade Heart Diamond Club
  'snam' => [ qw( Spades Hearts  Diamonds Clubs ) ],   # Suit Names
  'rnam' => [ qw( Ace King Queen Jack Ten Nine Eight
                  Seven Six Five Four Three Two ) ],); # Rank Names
for(0..$#{$pd8a{'holz'}}){        $zloh{$pd8a{'holz'}[$_]} = $_;} # load reverse HOLeZ keying ShortHand back to array index valuez
for(0..$#{$pd8a{'flpz'}}){        $zplf{$pd8a{'flpz'}[$_]} = $_;} # load reverse FLoPZ keying ShortHand back to array index valuez
for(0..$#{$pd8a{'hndz'}}){        $zdnh{$pd8a{'hndz'}[$_]} = $_;} # load reverse HaNDZ keying ShortHand back to array index valuez
for(0..$#{$pd8a{'rprg'}}){$pd8a{'rprv'}{$pd8a{'rprg'}[$_]} = $_;} # load Rank PRogression Valuez AKQ..432 => 0..12 back into %pd8a
8;

=encoding utf8

=head1 NAME

Games::Cards::Poker - Pure Perl Poker functions

=head1 VERSION

This documentation refers to version 1.4 of Games::Cards::Poker, which was released on Tue Jun  6 21:04:20:08 -0500 2017.

=head1 SYNOPSIS

  use Games::Cards::Poker; # deal hands
  my $players   =  4; # number of players to get hands dealt
  my $hand_size =  5; # number of cards to deal to each player
  my @hands     = (); # player hand data as array of arrayrefs
  my @deck      = Shuffle(Deck()); # initially shuffled card deck
  while (         $players--) { # load and print cards and scores
    push(@{$hands[$players]}, pop(@deck)) for(1 .. $hand_size );
    printf("Player$players score:%4d hand:@{$hands[$players]}\n",
                                HandScore(@{$hands[$players]})); }
  # please see ex/ directory for Hold'Em and BlackJack examples

=head1 DESCRIPTION

Poker provides a few functions for creating decks of
cards and manipulating them for simple Poker games or simulations.

=head1 USAGE

=head2 Deck()

Returns a new array of scalars with the abbreviated Poker names of
cards (e.g., 'As' for 'Ace of Spades', 'Td' for 'Ten of Diamonds',
'2c' for 'Two of Clubs', etc.).

Use CardName() to expand abbreviated cards into their full names.

=head2 Shuffle(@cards)

Shuffles the passed in @cards array in one quick pass.  Shuffle()
returns a shuffled copy of the @cards array.

Shuffle() can also take an arrayref parameter instead of an explicit
@cards array in which case, the passed in arrayref will be shuffled
in place so the return value does not need to be reassigned.

=head2 SortCards(@cards)

Sorts the passed in @cards array.  SortCards() returns a sorted copy of the @cards array.

SortCards() can also take an arrayref parameter instead of an explicit @cards array in which case, the passed in arrayref will be sorted in place so the
return value does not need to be reassigned.

SortCards() works consistently on the return values of ShortHand() as well as abbreviated cards (e.g., 'AAA', 'AAK'..'AKQs', 'AKQ'..'222').

=head2 ShortHand(@hand)

Returns a scalar string containing the abbreviated Poker description
of @hand (e.g., 'AKQJTs' for any of the four possible 'Royal Flush'
hands, 'QQ993' as a specific example of one of the many possible
'Two Pair' hands comprised of Queens and Nines with a Three kicker,
etc.).

ShortHand() calls SortCards() on its parameter before doing the abbreviation in order to make sure that the return value is consistent (even knowing
that this is typically a redundant operation).

ShortHand() can be called on fewer cards than a full @hand of 5 to
obtain other useful abbreviations (e.g., ShortHand(@hole) will return
the abbreviated form of a player's two hole [pocket] cards or
ShortHand(@flop) will abbreviate the three community cards which
flop onto the board in Hold'Em).

=head2 HandScore(@hand)

Returns an integer score (where lower is better) for the passed in Poker @hand. This means 0 (zero) is returned for a Royal Flush and the worst
possible score of 7461 is awarded to 7, 5, 4, 3, 2 unsuited.

If you want higher scores to mean higher hands, just subtract the return value from 7461.

All suits are considered to have equal value in this scoring function. It should be easy to use HandScore() as a first pass where ties can be resolved
by another suit-comparison function if you require such behavior.

This function does the inverse of ScoreHand() by accepting an array of cards or a ShortHand() string and returning the proper associated Poker score.

=head2 ScoreHand($score)

This function is the opposite of HandScore().  It takes an integer
$score parameter and returns the corresponding ShortHand() string.

ScoreHand() uses a fully enumerated table to simply index the associated ShortHand() so it is quite fast. The table was generated by running
HandScore() on every possible hand and sorting the resultant unique ShortHand() values by their associated scores.

=head1 ADVANCED USAGE

=head2 BestIndices(@cards)

BestIndices() takes 5 or more cards (normally 7) which can be
split among separate arrays (like BestIndices(@hole, @board) for
Hold'Em) and returns an array of the indices of the 5 cards (hand)
which yield the best score.

=head2 BestHand(@best, @cards)

BestHand() takes the return value of BestIndices() as the
first parameter (which is an array of the best indices) and then the
same other parameters (@cards) or (@hole, @board) to give you a copy
of just the best cards.  The return value of this function can be
passed to HandScore() to get the score of the best hand.

BestHand() can optionally take just the @cards like
BestIndices() and it will automagically call BestIndices()
first to obtain @best.  It will then return copies of those indexed
cards from the @cards.

=head2 HandName($score)

HandName() takes a HandScore() parameter (e.g., 0, 2000, 7000) and
returns the name of the corresponding hand scoring category it falls
under (e.g., 'Royal Flush', 'Three-of-a-Kind', 'High Card').

HandName() can optionally accept an arrayref to a hand, the @hand
itself, or a ShortHand instead of the $score parameter.

=head2 VerboseHandName($score)

VerboseHandName() takes a HandScore() parameter (e.g., 0, 2000, 7000)
and returns the name of the corresponding verbose (i.e., commonly
spoken) description of the hand (e.g., 'Aces over Kings',
'Tens, Jack kicker', 'Queen high, Ten kicker').  VerboseHandName()
should normally be used in conjunction with HandName() as a further
clarification of a specific hand's description.

VerboseHandName() can optionally accept an arrayref to a hand,
the @hand itself, or a ShortHand instead of the $score parameter.

=head2 NameCard($name)

NameCard() does the opposite of CardName() by taking an expanded
full $name (e.g., 'Queen of Diamonds', 'Jack of Hearts', 'Ten of Clubs')
and returning the abbreviated card (e.g., 'Qd', 'Jh', 'Tc').

=head2 CardName($card)

CardName() takes an abbreviated $card (e.g., 'As', 'Kh', '2c') and
returns the expanded full name of the card ('Ace of Spades',
'King of Hearts', 'Two of Clubs').

=head2 B64Card($b64c)

B64Card() does the opposite of CardB64() by taking a base-64 card
($b64c) representation (e.g., 'K', 'N', 'T') and returning the abbreviated
card (e.g., 'Qd', 'Jh', 'Tc').

=head2 CardB64($card)

CardB64() takes an abbreviated $card (e.g., 'As', 'Kh', '2c') and
returns the single character (only letters) base-64 representation
of the card ('A', 'F', 'z');

Please see the L<"NOTES"> section below for the complete B64 <-> Card
conversion table.

=head2 B64Hand($b64h)

B64Hand() does the opposite of HandB64() by taking a string containing
several concatenated base-64 card abbreviations and converting it into
a list of the cards.

=head2 HandB64(@hand)

HandB64() takes a list of cards which make up a @hand (or a reference to
such an array) and returns a base-64 abbreviation string.

=head2 DecCard($decc)

DecCard() does the opposite of CardDec() by taking a decimal card
($decc) representation (e.g., '0', '3', '51') and returning the abbreviated
card (e.g., 'As', 'Ac', '2c').

=head2 CardDec($card)

CardDec() takes an abbreviated $card (e.g., 'As', 'Kh', '2c') and
returns the corresponding decimal card representation ('0', '15', '51').

=head2 DecHand($dech)

DecHand() does the opposite of HandDec() by taking a string containing
several concatenated decimal card abbreviations and converting it into
a list of the cards.

=head2 HandDec(@hand)

HandDec() takes a list of cards which make up a @hand (or a reference to
such an array) and returns an array of decimal abbreviations.

=head2 BJ(@hand)

BJ returns the boolean value of whether the passed in @hand or ShortHand
is a BlackJack.

=head2 BJHandScore(@hand)

BJHandScore returns the score of the passed in @hand or ShortHand for
BlackJack.

=head2 BJCmp($bj_score_0, $bj_score_1)

BJCmp is similar to <=> between the two BlackJack scores passed as
parameters.

=head2 RemoveCard($card, @cards)

Returns a copy of @cards with abbreviated $card (e.g., 'Td') removed.

RemoveCard() can also take an arrayref parameter instead of an explicit
@cards array in which case, the passed in arrayref will be updated
in place so the return value does not need to be reassigned.

=head2 WorstHand(@cards)

Returns the ShortHand description of the worst hand possible using
@cards.  This means that if there are fewer than 5 @cards, it returns
simply the worst hand containing all of them however if there are 5 or
more cards, it returns the same result as the abbreviated best hand
(i.e., ShortHand(BestHand(BestIndices(@cards), @cards)) )since that is also
the worst hand you are guaranteed to at least have out of your @cards.

WorstHand() can also accept an arrayref or ShortHand parameter in place
of a list of cards.

WorstHand() is useful for calculating odds when you have a chance to
improve your hand by future cards but you want to know the minimum hand
or score you are guaranteed of.

=head2 CountWays($bad_score_limit [,$good_score_limit])

CountWays() helps calculate odds by summing the ways to get a range of
abbreviated card sets (normally just ShortHands) between the
$bad_score_limit (which starts from 7461, the bad 'High Card' end of
hands) to the optional $good_score_limit (which starts from 0, the good
'Royal Flush' end of hands).

=head2 CalcOdds($hole_index)

CalcOdds() takes the index of a hole abbreviation (e.g., values of %zloh
CalcOdds($zloh{'AA'})) from a Hold'Em game and returns the percent that
will win against all possibilities.

CalcOdds() is currently a failed experiment at approximation for heads up
situations but it will hopefully be improved later, as more Poker
statistics can be understood and incorporated.

=head2 FindNuts(@board)

Returns the B64 hole descriptions of the best of all remaining possible
pocket pairs after @board cards are determined. Maybe instead of taking
by default the standard cards array, it too should be just a scalar of
Suit-Abstracted B64 Boards (@{$pd8a{'sabb'}}) as the baseline to search
out from.

=head2 %pd8a

%pd8a is my global Poker Data structure which contains all of the data
used to provide this module's functionality. It can be accessed with the
:pd8a export tag like:

  use Games::Cards::Poker qw(:pd8a);

which only exports %pd8a, %zdnh, %zplf, and %zloh for the main data sets,
fast reverse handz mapping to scores, and flopz and holez mapped to their
indices.

=head1 EXPORT TAGS

Games::Cards::Poker normally only exports a few key Poker functions (Deck Shuffle SortCards ShortHand ScoreHand HandScore) into your local namespace when you:

  use Games::Cards::Poker;

You can specify additional export tags such as:

  use Games::Cards::Poker qw(:all);

for when you want to utilize more than just the above default functions.

=head2 :all

Exports everything!

  Shuffle Deck SortCards ShortHand HandName VerboseHandName      %pd8a
  BestIndices CardB64 B64Hand CardDec DecHand ScoreHand CardName %zdnh
  BestHand    B64Card HandB64 DecCard HandDec HandScore NameCard %zplf
  WorstHand RemoveCard CountWays CalcOdds   BJHandScore BJCmp BJ %zloh
                                 FindNuts

=head2 :best

This tag just exports functions for finding the best hand out of some
list of more than 5 cards.

  BestIndices BestHand

=head2 :name

This tag exports functions which convert between verbose names for cards
and hands.

  CardName NameCard HandName VerboseHandName

=head2 :b64

This tag exports functions which convert between base-64 representations
of cards and hands.

  CardB64 B64Card HandB64 B64Hand

=head2 :dec

This tag exports functions which convert between decimal representations
of cards and hands.

  CardDec DecCard HandDec DecHand

=head2 :odds

This tag exports functions which should be useful in calculating odds.

  WorstHand RemoveCard CountWays CalcOdds FindNuts

=head2 :blak

This tag just exports functions useful for BlackJack.

  BJ BJCmp BJHandScore

=head2 :pd8a

This tag exports four internal data hashes in case direct access to them
is beneficial in local namespaces. They are %pd8a, %zdnh, %zplf, and %zloh.

=head1 NOTES

Suits are: s,h,d,c (Spade,Heart,Diamond,Club) like bridge (anti-alphabetical).
  Although they are sorted and appear in this order, suits are ignored for
  scoring by default (but can be optionally reordered and scored later)

B64 notes: Cards map perfectly into A..Z,a..z (indx += 10) for one letter rep

                                                                        Suits:
  B64 Cards: A.As E.Ks I.Qs M.Js Q.Ts U.9s Y.8s c.7s g.6s k.5s o.4s s.3s w.2s 0
             B.Ah F.Kh J.Qh N.Jh R.Th V.9h Z.8h d.7h h.6h l.5h p.4h t.3h x.2h 1
             C.Ad G.Kd K.Qd O.Jd S.Td W.9d a.8d e.7d i.6d m.5d q.4d u.3d y.2d 2
             D.Ac H.Kc L.Qc P.Jc T.Tc X.9c b.8c f.7c j.6c n.5c r.4c v.3c z.2c 3
      Ranks:   0    1    2    3    4    5    6    7    8    9    A    B    C

  B64 Cards: A.As B.Ah C.Ad D.Ac Ranks: 0
             E.Ks F.Kh G.Kd H.Kc        1
             I.Qs J.Qh K.Qd L.Qc        2
             M.Js N.Jh O.Jd P.Jc        3
             Q.Ts R.Th S.Td T.Tc        4
             U.9s V.9h W.9d X.9c        5
             Y.8s Z.8h a.8d b.8c        6
             c.7s d.7h e.7d f.7c        7
             g.6s h.6h i.6d j.6c        8
             k.5s l.5h m.5d n.5c        9
             o.4s p.4h q.4d r.4c        A
             s.3s t.3h u.3d v.3c        B
             w.2s x.2h y.2d z.2c        C
             0.Jokr                    -1
      Suits:    0    1    2    3

Error checking is minimal.

I hope you find Games::Cards::Poker useful. Please pardon my infrequent release of updates.

=head1 TODO

=over 2

=item - upd8 release d8, regener8 README, make dist, and upload a new release, then close the RT WorstHand bug

=item - think about gener8ing all SuitAbstracted Flopz below Holez, then Turn && River for all whole Boardz or Handz for betr than orig ShrtHndz dir structz,
        but recognize that alloc8ing spade && heart 1st for Hole might want to SortCards with Flop added so must track where orig Hole cardz sort to

=item - mk CalcOdds() work accurately and for more opponents and factor in stages beyond hole

=item - at least imp fast score in C version if not also here (from Nov2005 GameDvlMag):6 4-bit nibbles, 6-elem array, 6-char string (or b13 int?)-1st is type,
        rSt R ranks in significance ordr. bNchmRk dif approaches. Type:0==HighCard,1==Pair,2==2Pair..9==Royal. Str8s only nEd 2nd LMNt2trak hIghSt cRd rank

=back

=head1 CHANGES

Revision history for Perl extension Games::Cards::Poker:

=over 4

=item - 1.4  H66ML4K8  Tue Jun  6 21:04:20:08 -0500 2017

* prepended new Pod tests and renumbered all others, added test names to all tests

* started FindNuts() to hopefully compute what BenB's old flop-gen.pl was looking for

* fixed WorstHand() on As 2s from returning FullHouse HTTPS://RT.CPAN.Org/Public/Bug/Display.html?id=100391 (Thanks Iain!)

* removed all old PDat duplicate data structures && accessor functions && renamed %pdat to %pd8a with matching :pd8a export tag which also has holz,flpz,hndz

* removed all %pdat ways d8a (since all should be gener8d easily) && replaced lists with just qw() && fixed CountWays() && CalcOdds() to gener8 nstd of index

* got rid of OrigHandScore except good category commentz

* audited all of old MANIFEST, yanked SuitAbstraction.pm, fixed t/*.t, && it seems like none of following old bin files are really needed until maybe l8r
    after reviving CalcOdds (so I'm removing all of the old bin/ from the next release):

  bin/tstPoker.pl  - generate test runs of Texas Hold'Em poker hands and print out the results (probably just a precursor to ex/txholdem.pl ?)
  bin/runHands.pl  - create MySQL databases and tables for storing Games::Cards::Poker exhaustive odds data
  bin/findOdds.pl  - try to query odds from a pre-generated MySQL database
  bin/mkDecks.pl   - made suit-abstracted B64 hole pairs but could all be in qw()
  bin/mkTable.pl   - select odds from a MySQL server populated by runHands.pl and build HTML summary of results for all holes versus each number of opponents
  bin/mkHoleDr.pl  - make 'h' . ShortHand(@hole) directories (not suit-abstracted B64 but just joined Ranks maybe 's'uited together)
  bin/mkHoleDr.bat - a batch file generated to do the same as the above .pl file
  bin/Makefile     - make pokr.c into pokr executable binary
  bin/pokr.c       - C source file for generating *.ppx files?
  bin/mkPPX.pl     - try to compile a root h.ppx file from all subdirectories
  bin/h.ppx        - example root hole Pip's Poker Xml aggregate odds file
  bin/ckOdds.pl    - lookup odds within already explored .ppx directory structure
  bin/pokrlocl.pl  - attempt to provide a local interactive (Perl/Tk) interface to pokr odds
  bin/index.cgi    - provide a basic web-interface to picking game-state to query odds

* replaced Hold'Em and BlackJack synopsis examples with new ex/ .pl scripts

* updated license to GPLv3

* s/Slow//g && further downplayed OrigHandScore

* s/(Hand|Score)(Score|Hand)/$2$1/g to be consistent with others (e.g., CardB64 implying X-to-Y)

* s/(for)each/$1/g

* fixed DecCard(0) to return 'As' error reported by Dan C.

* restored code &&'s, reverted license

=item - 1.2.565CHh5  Sun Jun  5 12:17:43:05 2005

* added VerboseHandName() from code contributed by Roy Lyons

* fixed Shuffle() off-by-one results skewing error reported by Lee

=item - 1.2.4CCJ12M  Sun Dec 12 19:01:02:22 2004

* added MySQL and XML and .c and Tk scripts to bin/

* fixed pod typo and updated License

=item - 1.2.46QD4ax  Sat Jun 26 13:04:36:59 2004

* added Dec functions

=item - 1.2.4610lBw  Tue Jun  1 00:47:11:58 2004

* removed benchmrk.pl since it's not worth including in pkg

* fixed some out-of-date POD and rearranged USAGE

=item - 1.2.45UGmiC  Sun May 30 16:48:44:12 2004

* upped minor version number since CPAN doesn't recognize my PTVR

* split test.pl into t/*.t and added those + bin/pokr to MANIFEST

* added separate EXPORT_TAGS and added ADVANCED USAGE POD

* added RemoveCard(), WorstHand(), CountWays(), and CalcOdds()

* added %pdat as common structure for all my Poker Data and Counts

* added B64Hand and HandB64 functions

* added simple accessors to internal data

* added possible hole and flop data

* made CardName take either of just rank or suit

* made new b64 card conversion functions: CardB64() and B64Card()

* changed b64 maps to use letters

=item - 1.0.44P0KER  Sun Apr 25 00:20:14:27 2004

* made CardName() to return 'Ace of Spades' or 'Two of Clubs' for
          'As'or'A' or '2c'or'z' and NameCard() to do inverse

* made HandName() to return 'Royal Flush' or 'High Card' for
          ScoreHand() or ShortHand() or @hand or \@hand and NameHand()

* rewrote SortCards() to accept any length ShortHand() params

* s/valu/rank/g s/scor/score/g s/bord/board/g

=item - 1.0.44LCEw8  Wed Apr 21 12:14:58:08 2004

* s/HoldEm//g; on advice from Joe since Best*() are useful for more
    than just Hold'Em (like 7-card stud)

* fixed minor typos in POD

=item - 1.0.44KFNKP  Tue Apr 20 15:23:20:25 2004

* wrote UseSlow() so that benchmrk.pl would still work without Best()
    and in case anyone would rather have ScoreHand() call
    SlowScoreHand() every time instead.

* since my old Best() was actually slower than BestHoldEmIndices() =O
    I removed Best().

* since old Scor() was so much faster than old ScoreHand(), I renamed
    them to ScoreHand() and SlowScoreHand() respectively since
    computational version is unnecessary now.

* wrote benchmrk.pl to test BestHoldEmIndices() + ScoreHand() against
    Best() + Scor().  Best()+Scor() only took 60% as long to run.

* added SortCards() call on ShortHand() param just in case

=item - 1.0.44ILBKV  Sun Apr 18 21:11:20:31 2004

* wrote Scor() with gen'd enumerated hash of ShortHand => Score

* wrote HandScore() to just lookup index of a ShortHand from a score

* squashed 4 scoring bugs in one pair section

* used Algorithm::ChooseSubsets for new BestHoldEmIndices
    (on Jan's recommendation)

* renamed enumerated BestHoldEmIndices() as Best()

* gave ScoreHand() optional arrayref param like others

* gave ScoreHand() optional ShortHand() string param

* updated 2do and tidied up documentation a bit

=item - 1.0.44H2DUS  Sat Apr 17 02:13:30:28 2004

* added BestHoldEmIndices() and BestHoldEmHand() for Tim and Jan

* commented unnecessary Games::Cards inheritance since I haven't written
any compatability / object interface yet

=item - 1.0.44F2Q8F  Thu Apr 15 02:26:08:15 2004

* original version

=back

=head1 INSTALL

Please run:

  `perl -MCPAN -e "install Games::Cards::Poker"`

or uncompress the package and run the standard:

  `perl Makefile.PL; make; make test; make install`

=head1 FILES

Games::Cards::Poker requires:

L  to allow searching for best cards

=head1 BUGS

Please report any bugs or feature requests to   bug-Games-Cards-Poker at RT.CPAN.Org, or through the web interface at
  L. I will be notified, and then you can be updated of progress on your bug
  as I address fixes.

=head1 SUPPORT

You can find documentation for this module with the perldoc command.

  `perldoc Games::Cards::Poker`

You can also look for information at:

    RT: CPAN's Request Tracker

  L

    AnnoCPAN: Annotated CPAN documentation

  L

    CPAN Ratings

  L

    Search  CPAN

  L

=head1 LICENSE

Most source code should be Free! Code I have lawful authority over is and shall be!
Copyright: (c) 2004-2017, Pip Stuart.
Copyleft :  This software is licensed under the  GNU General Public License
  (version 3 or later). Please consult L
  for important information about your freedom. This is Free Software: you
  are free to change and redistribute it. There is NO WARRANTY, to the
  extent permitted by law. See L for further information.

=head1 AUTHOR

Pip Stuart

=cut