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package Math::Permute::Array; |
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3
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5
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154548
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use strict; |
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210
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use warnings; |
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5844
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require Exporter; |
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8
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our @ISA = qw(Exporter); |
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# Items to export into callers namespace by default. Note: do not export |
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# names by default without a very good reason. Use EXPORT_OK instead. |
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# Do not simply export all your public functions/methods/constants. |
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# This allows declaration use Math::Permute::Array ':all'; |
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# If you do not need this, moving things directly into @EXPORT or @EXPORT_OK |
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# will save memory. |
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our %EXPORT_TAGS = ( 'all' => [ qw()], |
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'Permute' => [ qw(Permute) ], |
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'Apply_on_perms' => [ qw(Apply_on_perms) ] |
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); |
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); |
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our @EXPORT = qw( |
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Permute |
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Apply_on_perms |
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); |
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29
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our $VERSION = '0.043'; |
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sub new |
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{ |
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4
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1
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119
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my $class = shift; |
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4
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11
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my $self = {}; |
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4
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$self->{array} = shift; |
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4
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11
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$self->{iterator} = 0; |
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4
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10
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$self->{cardinal} = undef; |
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4
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12
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bless($self, $class); |
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4
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100
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return undef unless (defined $self->{array}); |
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3
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11
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return $self; |
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} |
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#nice implementation from the cookbook |
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#but mine seems lightly more efficient |
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46
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#sub N2Permute |
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47
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#{ |
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48
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# my $rank = shift; |
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# my $size = shift; |
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50
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# my @res; |
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51
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# |
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52
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# my $i=1; |
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# while($i<=$size){ |
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54
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# push @res, $rank % ($i); |
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55
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# $rank = int($rank / ($i)); |
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56
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# $i++; |
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57
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# } |
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58
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# return @res; |
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59
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#} |
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60
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61
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sub Permute |
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62
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{ |
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63
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80643
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80643
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1
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117533
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my $rest = shift; |
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64
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80643
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111047
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my $array = shift; |
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65
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80643
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100
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100
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511348
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return undef unless (defined $rest and defined $array); |
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66
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80640
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109015
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my @array = @{$array}; |
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80640
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247900
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67
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80640
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118446
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my @res; |
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68
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69
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# my $size = $#$array+1; |
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70
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# my @perm = N2Permute($k,$size); |
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71
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#push @res, splice(@array, (pop @perm), 1 )while @perm; |
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72
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73
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80640
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120524
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my $i = 0; |
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74
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80640
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225126
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while($rest != 0){ |
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75
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506558
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1250720
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$res[$i] = splice @array, $rest % ($#array + 1), 1; |
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76
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506558
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995963
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$rest = int($rest / ($#array + 2)); |
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77
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506558
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1256682
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$i++; |
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} |
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79
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80640
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167314
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push @res, @array; |
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80
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81
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80640
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400702
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return \@res; |
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} |
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84
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sub permutation |
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85
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{ |
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86
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7
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7
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1
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34
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my $self = shift; |
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87
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7
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13
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my $rest = shift; |
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88
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7
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100
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18
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return undef unless (defined $rest); |
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89
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6
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16
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my @array = @{$self->{array}}; |
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6
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17
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90
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6
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8
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my @res; |
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91
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6
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7
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my $i = 0; |
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92
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6
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15
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while($rest != 0){ |
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93
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8
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18
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$res[$i] = splice @array, $rest % ($#array + 1), 1; |
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94
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8
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15
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$rest = int($rest / ($#array + 2)); |
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95
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8
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159
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$i++; |
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96
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} |
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97
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6
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9
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push @res, @array; |
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98
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6
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25
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return \@res; |
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99
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} |
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100
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101
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sub Apply_on_perms(&@) |
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102
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{ |
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103
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4
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4
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1
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45
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my $func = shift; |
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104
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4
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6
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my $array = shift; |
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105
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4
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100
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100
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37
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return undef unless (defined $func and defined $array); |
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106
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1
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3
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my $rest; |
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107
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my $i; |
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108
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0
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0
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my $j; |
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109
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1
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3
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my @array = @{$array}; |
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1
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4
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110
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1
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2
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my $size = $#array+1; |
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111
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1
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6
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my $card = factorial($size); |
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112
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1
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2
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my @res; |
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113
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1
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4
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for($j=0;$j<$card;$j++){ |
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114
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40320
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70103
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@res = (); |
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115
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40320
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56046
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$rest = $j; |
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116
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40320
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45467
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$i = 0; |
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117
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40320
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88398
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while($rest != 0){ |
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118
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253279
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557732
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$res[$i] = splice @array, $rest % ($#array + 1), 1; |
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119
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253279
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504280
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$rest = int($rest / ($#array + 2)); |
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120
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253279
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597671
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$i++; |
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121
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} |
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122
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40320
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75593
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push @res, @array; |
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123
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40320
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140977
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&$func(@res); |
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124
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40320
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128380
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@array = @{$array}; |
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40320
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238943
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125
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} |
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126
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1
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7
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return 0; |
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127
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} |
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128
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129
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sub cur |
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130
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{ |
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131
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2
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2
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1
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12
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my $self = shift; |
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132
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2
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9
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return Math::Permute::Array::Permute($self->{iterator},$self->{array}); |
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133
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} |
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134
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135
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sub prev |
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136
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{ |
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137
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40320
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40320
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1
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166416
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my $self = shift; |
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138
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40320
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100
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121527
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return undef if($self->{iterator} == 0); |
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139
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40319
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62937
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$self->{iterator}--; |
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140
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40319
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97485
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return Math::Permute::Array::Permute($self->{iterator},$self->{array}); |
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141
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} |
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142
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143
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sub next |
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144
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{ |
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145
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40320
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40320
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1
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220366
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my $self = shift; |
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146
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40320
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100
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107271
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return undef if($self->{iterator} >= $self->cardinal() - 1); |
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147
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40319
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78248
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$self->{iterator}++; |
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148
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40319
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111746
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return Math::Permute::Array::Permute($self->{iterator},$self->{array}); |
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149
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} |
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150
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151
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sub cardinal |
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152
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{ |
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153
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40322
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40322
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1
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77870
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my $self = shift; |
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154
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40322
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100
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115113
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unless(defined $self->{cardinal}){ |
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155
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2
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4
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$self->{cardinal} = factorial($#{$self->{array}} + 1); |
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2
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14
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156
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} |
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157
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40322
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162870
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return $self->{cardinal}; |
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158
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} |
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159
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160
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#this part come from: |
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161
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# www.theperlreview.com/SamplePages/ThePerlReview-v5i1.p23.pdf |
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162
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# Author: Alberto Manuel Simoes |
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163
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sub factorial |
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164
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{ |
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165
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3
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3
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1
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9
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my $value = shift; |
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166
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3
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8
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my $res = 1; |
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167
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3
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18
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while ($value > 1) { |
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168
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16
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20
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$res *= $value; |
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169
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16
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37
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$value--; |
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170
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} |
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171
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3
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22
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return $res; |
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172
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} |
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173
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174
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1; |
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175
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176
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__END__ |