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1
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package Math::MagicSquare::Generator; |
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2
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1
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1
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300205
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use strict; |
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1
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2
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1
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50
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3
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1
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1
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8
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use Carp; |
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1
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3
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1
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88
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4
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1
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1
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6
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use vars qw($VERSION); |
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1
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17
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1
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1110
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5
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6
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$VERSION = '0.01'; |
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7
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8
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sub _sum { |
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9
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4520
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4520
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4925
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my $sum = 0; |
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10
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4520
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193061
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$sum += $_ for @_; |
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11
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4520
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27598
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return $sum |
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12
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} |
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13
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14
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sub new { |
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15
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20
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20
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1
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16083
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my ($class, %opt) = @_; |
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16
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20
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50
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100
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$opt{size} ||= 5; |
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17
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20
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50
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163
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$opt{start} ||= 1; |
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18
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20
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50
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94
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$opt{step} ||= 1; |
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19
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20
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50
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33
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189
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croak "Size needs to be a positive, odd integer" |
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33
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20
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unless $opt{size} > 0 and |
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21
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$opt{size} % 2 and |
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22
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$opt{size} == int($opt{size}); |
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23
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2230
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52570
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my $self = [ |
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24
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map { |
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25
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20
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147
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[ (undef) x $opt{size} ] |
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26
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} 1..$opt{size} |
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27
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]; |
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28
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20
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183
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my $value = $opt{start}; |
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29
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20
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103
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my $halv = int(@$self / 2); |
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30
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20
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83
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for my $start_x (-$halv..$halv) { |
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31
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2230
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2701
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my $x = $start_x - 1; |
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32
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2230
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4217
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my $y = $x + @$self + 1; |
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33
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2230
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5298
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for (1 .. @$self) { |
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34
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324452
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100
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525764
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$x = $x - @$self if ++$x > $#$self; |
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35
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324452
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100
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542760
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$y = $y - @$self if --$y > $#$self; |
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36
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324452
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438027
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$self->[$y][$x] = $value; |
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37
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324452
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375756
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$value += $opt{step}; |
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38
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} |
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39
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} |
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40
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20
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351
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return bless $self, $class; |
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41
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} |
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42
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43
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sub hflip { |
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44
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0
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0
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1
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0
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my ($self) = @_; |
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45
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0
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0
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my $clone; |
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46
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0
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0
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push @$clone, [ reverse @$_ ] for @$self; |
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47
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0
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0
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return bless $clone, ref $self; |
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48
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} |
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49
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50
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sub vflip { |
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51
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0
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0
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1
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0
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my ($self) = @_; |
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52
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0
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0
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my $clone; |
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53
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0
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0
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push @$clone, [ @$_ ] for reverse @$self; |
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54
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0
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0
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return bless $clone, ref $self; |
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55
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} |
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56
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57
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sub sum { |
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58
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20
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20
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1
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35
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my ($self) = @_; |
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59
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20
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28
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return _sum( @{ $self->[0] } ); |
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20
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164
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60
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} |
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61
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62
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sub check { |
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63
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20
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20
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1
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55
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my ($self) = @_; |
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64
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20
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84
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my $sum = $self->sum; |
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65
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# Horizontals |
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66
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20
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238
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for (@$self[1..$#$self]) { |
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67
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2210
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50
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3781
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return undef if @$_ > @$self; # undef if not square |
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68
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2210
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50
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13291
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return undef if _sum(@$_) != $sum; |
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69
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} |
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70
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# Verticals |
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71
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20
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153
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for my $x (0..$#$self) { |
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72
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2230
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50
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138703
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return undef if _sum(map $self->[$_][$x], 0..$#$self) != $sum; |
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73
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} |
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74
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# Diagonals |
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75
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20
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50
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1032
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return undef if _sum(map $self->[$_][$_], 0..$#$self) != $sum; |
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76
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20
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50
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12367
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return undef if _sum(map $self->[$#$self - $_][$_], 0..$#$self) != $sum; |
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77
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# Duplicates |
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78
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20
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143
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my %seen; |
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79
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20
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390638
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$seen{$_}++ for map @$_, @$self; |
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80
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20
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50
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83774
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return undef if _sum(values %seen) != keys %seen; |
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81
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# Passed all tests! |
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82
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20
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129756
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return $sum; |
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83
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} |
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84
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85
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sub as_string { |
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86
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0
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0
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1
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my ($self) = @_; |
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87
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0
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my $max = 0; |
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88
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0
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0
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length > $max and $max = length for map @$_, @$self; |
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89
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0
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return map { join(' ', map {' 'x($max - length) . $_} @$_) . "\n" } @$self; |
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0
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0
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90
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} |
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91
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92
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sub as_html { |
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93
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0
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0
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1
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my ($self) = @_; |
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94
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0
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return "\n" . join("\n",
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95
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0
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map { ' | | ' . join(' | ', @$_) . ' | ' } @$self) .
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96
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"\n | \n"; |
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97
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} |
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98
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99
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sub as_csv { |
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100
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0
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0
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1
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my ($self) = @_; |
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101
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0
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return join("\n", map { join ',', @$_ } @$self) . "\n"; |
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0
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102
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} |
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103
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104
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1; |
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105
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106
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__END__ |