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package Math::GrahamFunction::SqFacts; |
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$Math::GrahamFunction::SqFacts::VERSION = '0.02002'; |
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2
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15
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use strict; |
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4
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2
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70
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14
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use warnings; |
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5
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79
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7
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2
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22
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use parent qw(Math::GrahamFunction::Object); |
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24
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2
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15
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8
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9
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2
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2
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127
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use List::Util (); |
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6
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2
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1503
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10
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__PACKAGE__->mk_accessors(qw(n factors)); |
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12
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sub _initialize |
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{ |
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1771
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1771
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2652
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my $self = shift; |
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15
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1771
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2621
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my $args = shift; |
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17
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1771
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100
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4053
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if ($args->{n}) |
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50
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18
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{ |
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844
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2314
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$self->n($args->{n}); |
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20
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21
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844
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8697
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$self->_calc_sq_factors(); |
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22
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} |
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23
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elsif ($args->{factors}) |
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24
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{ |
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25
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927
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2036
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$self->factors($args->{factors}); |
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26
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} |
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27
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else |
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28
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{ |
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29
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0
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0
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die "factors or n must be supplied."; |
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30
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} |
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31
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32
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1771
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10523
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return 0; |
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33
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} |
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34
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35
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36
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sub clone |
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37
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{ |
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38
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182
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182
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1
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964
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my $self = shift; |
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39
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182
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286
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return __PACKAGE__->new({'factors' => [@{$self->factors()}]}); |
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182
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341
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40
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} |
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41
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42
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sub _calc_sq_factors |
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43
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{ |
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44
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844
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844
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1267
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my $self = shift; |
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45
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46
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844
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1581
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$self->factors($self->_get_sq_facts($self->n())); |
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47
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48
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844
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8133
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return 0; |
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49
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} |
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50
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51
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my %gsf_cache = (1 => []); |
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52
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53
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sub _get_sq_facts |
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54
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{ |
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55
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973
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973
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7987
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my $self = shift; |
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56
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973
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1459
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my $n = shift; |
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57
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58
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973
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100
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2631
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if (exists($gsf_cache{$n})) |
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59
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{ |
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60
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844
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2637
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return $gsf_cache{$n}; |
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61
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} |
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62
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63
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129
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100
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451
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my $start_from = shift || 2; |
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64
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65
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129
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238
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for(my $p=$start_from; ;$p++) |
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66
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{ |
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67
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1720
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100
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3062
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if ($n % $p == 0) |
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68
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{ |
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69
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# This function is recursive to make better use of the Memoization |
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70
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# feature. |
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71
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129
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371
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my $division_factors = $self->_get_sq_facts(($n / $p), $p); |
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72
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129
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100
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100
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498
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if (@$division_factors && ($division_factors->[0] == $p)) |
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73
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{ |
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74
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29
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64
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return ($gsf_cache{$n} = [ @{$division_factors}[1 .. $#$division_factors] ]); |
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29
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158
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75
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} |
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76
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else |
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77
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{ |
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78
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100
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590
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return ($gsf_cache{$n} = [ $p, @$division_factors ]); |
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79
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} |
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80
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} |
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81
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} |
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82
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} |
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83
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84
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# Removed because it is too slow - we now use our own custom memoization ( |
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85
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# or perhaps it is just called caching) |
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86
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# memoize('get_squaring_factors', 'NORMALIZER' => sub { return $_[0]; }); |
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87
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88
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# This function multiplies the squaring factors of $n and $m to receive |
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89
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# the squaring factors of ($n*$m) |
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90
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91
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# OOP-Wise, it should be a multi-method, but since we don't inherit this |
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92
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# object it's all-right. |
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93
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94
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95
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sub mult_by |
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96
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{ |
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97
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2042
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2042
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1
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30567
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my $n_ref = shift; |
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98
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2042
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2895
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my $m_ref = shift; |
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99
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100
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2042
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2764
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my @n = @{$n_ref->factors()}; |
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2042
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3811
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101
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my @m = |
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102
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2042
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18945
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eval { |
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103
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2042
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2760
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@{$m_ref->factors()}; |
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2042
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3615
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104
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}; |
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105
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2042
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50
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20508
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if ($@) |
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106
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{ |
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107
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0
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0
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print "Hello\n"; |
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108
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} |
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109
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110
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2042
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2917
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my @ret = (); |
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111
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112
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2042
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100
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6658
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while (scalar(@n) && scalar(@m)) |
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113
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{ |
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114
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4255
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100
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8703
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if ($n[0] == $m[0]) |
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100
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115
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{ |
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116
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1836
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2825
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shift(@n); |
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117
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1836
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4555
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shift(@m); |
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118
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} |
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119
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elsif ($n[0] < $m[0]) |
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120
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{ |
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121
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1315
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4146
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push @ret, shift(@n); |
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122
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} |
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123
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else |
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124
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{ |
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125
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1104
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3814
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push @ret, shift(@m); |
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126
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} |
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127
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} |
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128
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2042
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3594
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push @ret, @n, @m; |
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129
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130
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2042
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5328
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$n_ref->factors(\@ret); |
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131
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132
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# 0 for success |
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133
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2042
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21291
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return 0; |
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134
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} |
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135
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136
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137
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sub mult |
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138
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{ |
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139
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90
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90
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1
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1515
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my $n = shift; |
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140
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90
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128
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my $m = shift; |
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141
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142
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90
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182
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my $result = $n->clone(); |
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143
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90
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284
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$result->mult_by($m); |
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144
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90
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199
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return $result; |
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145
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} |
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146
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147
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148
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sub is_square |
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149
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{ |
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150
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1364
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1364
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1
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12269
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my $self = shift; |
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151
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1364
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2017
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return (scalar(@{$self->factors()}) == 0); |
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1364
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2530
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152
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} |
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153
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154
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155
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sub exists |
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156
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{ |
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157
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1949
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1949
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1
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16867
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my ($self, $factor) = @_; |
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158
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159
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1949
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2940
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5348
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return defined(List::Util::first { $_ == $factor } @{$self->factors()}); |
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2940
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25269
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1949
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3892
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160
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} |
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161
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162
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163
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sub last |
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164
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{ |
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165
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90
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90
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1
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824
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my $self = shift; |
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166
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167
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90
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197
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return $self->factors()->[-1]; |
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168
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} |
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169
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170
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2
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2
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17
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use vars qw($a $b); |
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2
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11
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2
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345
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171
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172
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173
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sub product |
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174
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{ |
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175
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90
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90
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1
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143
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my $self = shift; |
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176
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177
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90
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43
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269
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return (List::Util::reduce { $a * $b } @{$self->factors()}); |
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43
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432
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90
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184
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178
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} |
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179
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180
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181
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sub first |
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182
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{ |
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183
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600
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600
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1
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5318
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my $self = shift; |
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184
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185
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600
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1118
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return $self->factors()->[0]; |
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186
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} |
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187
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188
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189
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1; |
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190
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191
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__END__ |