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package Math::Palindrome; |
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#Yes, i'd like a dush good pratices |
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17694
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use strict; |
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31
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use warnings; |
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32
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#And I so like fucking everything |
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use Carp 'croak'; |
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71
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#Let's help you work more easy, if you can't you may not be here, get out |
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BEGIN { |
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use Exporter; |
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37
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use vars qw($VERSION @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS); |
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152
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$VERSION = '0.021'; |
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@ISA = qw(Exporter); |
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#Give a hoot don't pollute, do not export more than needed by default |
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@EXPORT = qw(); |
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@EXPORT_OK = qw(is_palindrome |
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next_palindrome |
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previous_palindrome |
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increasing_sequence |
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decreasing_sequence |
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palindrome_after |
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palindrome_before); |
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1094
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%EXPORT_TAGS = (all => [ @EXPORT_OK ]); |
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} |
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########################################################################################### |
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# This cannot be export |
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29
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30
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# How many digits exist here |
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60
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60
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sub _digits_size {return length shift} |
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32
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33
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#Working with just one digits |
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34
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#If want a previous value |
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35
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sub _previous_one_digits { |
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36
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0
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0
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0
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my $n = shift; |
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37
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0
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0
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0
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$n != 0 ? (return ($n - 1)) : croak "Just work with natural numbers!\n"; |
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38
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} |
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39
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#If want a next value |
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40
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sub _next_one_digits { |
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41
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5
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5
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8
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my $n = shift; |
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42
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5
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50
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21
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$n != 9 ? (return ($n + 1)) : (return 11); |
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43
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} |
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44
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#Finish, maybe one day I'll optimise |
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45
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46
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#Now other stance, working with odd digits |
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47
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#for next |
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48
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sub _next_odd_digits { |
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49
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25
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25
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22
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my $n = shift; |
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50
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25
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20
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my $r; |
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51
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52
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25
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33
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my $n_1 = substr $n, 0, (length $n)/2; #first half part, without middle num(if exist) |
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53
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25
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30
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my $n_2 = substr $n, -((length $n)/2); #second half part, without middle num(if exist) |
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54
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25
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27
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my $n_3 = substr $n, 0, -((length $n)/2); #first half part, with middle num(if exist) |
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55
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56
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50
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51
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if ($n == 999){$r = 1001} |
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0
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50
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0
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57
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0
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0
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elsif ($n_1 <= reverse $n_2){ |
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58
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25
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21
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$n_3++; |
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59
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25
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33
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$r = $n_3 . (reverse substr $n_3, 0, ((length $n_3)-1)); |
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60
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61
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} |
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62
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else{$r = $n_3 . (reverse substr $n_3, 0, ((length$n_3)-1))} |
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63
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64
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25
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63
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return $r; |
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65
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} |
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66
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#for previous |
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67
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sub _previous_odd_digits { |
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68
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26
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26
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29
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my $n = shift; |
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69
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26
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25
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my $r ; |
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70
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71
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26
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40
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my $n_1 = substr $n, 0, (length $n)/2; #first half part, without middle num(if exist) |
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72
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26
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42
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my $n_2 = substr $n, -((length $n)/2); #second half part, without middle num(if exist) |
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73
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26
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38
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my $n_3 = substr $n, 0, -((length $n)/2); #first half part, with middle num(if exist) |
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74
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75
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26
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100
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61
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if ($n <= 101){$r = 99} |
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1
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50
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3
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76
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0
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0
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elsif ($n_1 >= reverse $n_2){ |
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77
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25
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25
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$n_3--; |
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78
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25
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42
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$r = $n_3 . (reverse substr $n_3, 0, ((length $n_3)-1)); |
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79
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80
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} |
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81
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else{$r = $n_3 . (reverse substr $n_3, 0, ((length$n_3)-1))} |
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82
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83
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26
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120
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return $r; |
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84
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} |
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85
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86
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#Finally, working with even number |
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87
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#for next |
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88
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sub _next_even_digits { |
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89
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0
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0
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0
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my $n = shift; |
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90
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0
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0
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my $r; |
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91
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92
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0
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0
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my $n_1 = substr $n, 0, -((length $n)/2);#first half part |
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93
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0
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0
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my $n_2 = substr $n, ((length $n)/2); #second half part |
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94
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95
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0
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0
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0
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if ($n == 99){$r = 101} |
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0
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0
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0
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96
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0
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0
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elsif ($n_1 <= reverse$n_2){ |
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97
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0
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0
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$n_1++; |
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98
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0
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0
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$r = $n_1 . reverse $n_1; |
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99
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} |
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100
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else{$r = $n_1 . reverse $n_1} |
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101
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102
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0
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0
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return $r; |
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103
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} |
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104
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#for previous |
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105
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sub _previous_even_digits { |
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106
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4
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4
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5
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my $n = shift; |
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107
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4
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3
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my $r; |
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108
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109
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4
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8
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my $n_1 = substr $n, 0, -((length $n)/2);#first half part |
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110
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4
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7
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my $n_2 = substr $n, ((length $n)/2); #second half part |
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111
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112
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4
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50
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16
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if ($n <= 11){$r = 9} |
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0
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50
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0
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113
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0
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0
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elsif ($n_1 >= reverse $n_2){ |
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114
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4
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5
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$n_1--; |
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115
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4
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8
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$r = $n_1 . reverse $n_1; |
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116
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} |
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117
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else{$r = $n_1 . reverse $n_1} |
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118
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119
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4
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18
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return $r; |
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120
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} |
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121
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#End, without these part, nothing may work |
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122
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############################################################## |
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123
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124
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############################################################## |
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125
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#Now, all export functions |
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126
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#confirm if the number is palindrome |
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127
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50
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50
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50
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1
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21130
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sub is_palindrome {($_[0] == reverse $_[0]) ? return 1 : return 0} |
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128
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#require the next palindrome |
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129
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sub next_palindrome { |
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130
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30
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30
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1
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32
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my $num = shift; |
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131
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30
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42
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my $size = _digits_size($num); |
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132
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30
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100
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57
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if ($size == 1){return _next_one_digits($num)} |
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5
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50
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10
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25
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34
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133
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0
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0
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elsif ($size % 2 != 0){return _next_odd_digits($num)} |
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134
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else{return _next_even_digits($num)} |
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135
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} |
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136
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#require the previous palindrome |
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137
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sub previous_palindrome { |
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138
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30
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30
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1
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34
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my $num = shift; |
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139
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30
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83
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my $size = _digits_size($num); |
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140
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30
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50
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74
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if ($size == 1){return _previous_one_digits($num)} |
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0
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100
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0
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26
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44
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141
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4
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8
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elsif ($size % 2 != 0){return _previous_odd_digits($num)} |
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142
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else{return _previous_even_digits($num)} |
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143
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} |
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144
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#require a crescent sequence |
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145
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sub increasing_sequence { |
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146
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1
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1
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1
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11
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my $len = $_[0]; |
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147
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1
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50
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4
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my $ini = $_[1] || 0; |
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148
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1
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3
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my @r; |
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149
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1
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4
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for (1..$len){ |
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150
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25
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36
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$r[$_ - 1] = $ini = next_palindrome($ini) |
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151
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} |
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152
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1
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23
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return @r; |
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153
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} |
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154
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#require a decrescent sequence |
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155
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sub decreasing_sequence { |
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156
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1
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1
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1
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336
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my $len = $_[0]; |
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157
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1
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50
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5
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my $ini = $_[1] || 100; |
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158
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1
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2
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my @r; |
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159
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1
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5
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for (1..$len){ |
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160
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25
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39
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$r[$_ -1] = $ini = previous_palindrome($ini) |
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161
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} |
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162
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1
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23
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return @r; |
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163
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} |
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164
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#making more easy for the all asshole |
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165
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#require just last number of the decreasing sequence |
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166
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sub palindrome_before { |
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167
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1
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1
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1
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4
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my $len = $_[0]; |
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168
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1
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50
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7
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my $ini = $_[1] || 100; |
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169
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1
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8
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my $r; |
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170
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1
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4
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for (1..$len){ |
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171
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5
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9
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$r = $ini = previous_palindrome($ini) |
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172
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} |
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173
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1
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6
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return $r; |
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174
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} |
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175
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#require just last number of the increasing sequence |
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176
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sub palindrome_after { |
|
177
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1
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1
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1
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404
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my $len = $_[0]; |
|
178
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1
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50
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11
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my $ini = $_[1] || 0; |
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179
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1
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4
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my $r; |
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180
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1
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4
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for (1..$len){ |
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181
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5
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$r = $ini = next_palindrome($ini) |
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} |
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} |
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#Everything is dust in the wind |
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##################################################################### |
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# Now the boring part, the documentation. |
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=head1 NAME |
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Math::Palindrome - Tool to manipulate palindromes numbers. |
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=head1 SYNOPSIS |
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use Math::Palindrome qw/is_palindrome |
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next_palindrome |
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previous_palindrome |
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increasing_sequence |
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decreasing_sequence |
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palindrome_after |
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palindrome_before/; |
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my $n = 42; #We sujest never use '05', just '5' |
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is_palindrome($n) ? print "TRUE" :print "FALSE"; # false! |
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print next_palindrome($n); # 44 |
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print previous_palindrome($n); # 33 |
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#to increasing_sequence and decreasing_sequence insert |
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# the size of sequence |
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my @sequence_01 = increasing_sequence(5, $n); # 44 55 66 77 88 |
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#or |
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my @sequence_01 = increasing_sequence(5); # 1 2 3 4 5 |
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# default is 0 |
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my @sequence_02 = decreasing_sequence(5, $n); # 33 22 11 9 8 |
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#or |
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my @sequence_02 = decreasing_sequence(5); # 99 88 77 66 55 |
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#default is 100 |
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my $last = palindrome_after(5, $n); # 88 |
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# is the same $last = increasing_sequence(5, $n); |
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# this is valid too |
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my $last = palindrome_after(5); # 5 |
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my $first = palindrome_before(5, $n); # 8 |
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# is the same $first = decreasing_sequence(5, $n); |
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# this is valid too |
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my $first = palindrome_before(5); # 55 |
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=head1 DESCRIPTION |
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This module is a alternative agains Math::NumSeq::Palindromes. |
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Can use this to find and confirm palindrome numbers. |
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In my tests it's work correctly with small and large numbers. |
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The most largest numbers was 9,99999 * 10^19. But, I think that its involved a memory capacity. |
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In this module, I used a deterministc method, maybe you can think that is a heuristic, but not. |
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I'm ready for fix a report bugs. |
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=head2 is_palindrome |
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Usage : is_palindrome($n) |
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Purpose : verify if the number is palindrome or not |
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Returns : return 1 if true or 0 if false |
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Comment : is the same: |
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($n == reverse $n) ? return 1 : return 0 |
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=cut |
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=head2 next_palindrome |
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256
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Usage : next_palindrome($n); |
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Purpose : return the next palindrome number after $n |
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=cut |
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=head2 previous_palindrome |
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263
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Usage : previous_palindrome($n); |
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Purpose : return the previous palindrome number before $n |
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=cut |
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=head2 increasing_sequence |
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270
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Usage : increasing_sequence($size, $first_value); |
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Purpose : return the crescent sequence of palindrome number after $n |
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Argument : $size is the number of palindromes that you want |
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: $first_value is the number where it start to work, default it is 0 and never return the $first_value |
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Throws : Don't return $first_value even it's palindrome |
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Comment : Use with array. |
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276
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277
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278
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=cut |
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279
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280
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=head2 decreasing_sequence |
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281
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282
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Usage : decreasing_sequence($size, $first_value); |
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Purpose : return the decrescent sequence of palindrome number beforer $n |
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Argument : $size is the number of palindromes that you want |
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: $first_value is the number where it start to work, default it is 100 and never return the $first_value |
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Throws : Don't return $first_value even it's palindrome |
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Comment : Use with array; |
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288
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289
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290
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=cut |
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292
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=head2 palindrome_after |
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293
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294
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Usage : palindrome_after($size, $first_value); |
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Purpose : return the last number of crescent sequence of palindrome number beforer $n |
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Argument : $size is the number of palindromes that you want |
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297
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: $first_value is the number where it start to work, default it is 100 and never return the $first_value |
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298
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Throws : Don't return $first_value even it's palindrome |
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299
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Comment : Is like: |
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300
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$n = increasing_sequence($s, $p); |
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301
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302
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303
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=cut |
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304
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305
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=head2 palindrome_before |
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306
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307
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Usage : palindrome_before($size, $first_value); |
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308
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Purpose : return the last number of decrescent sequence of palindrome number beforer $n |
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309
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Argument : $size is the number of palindromes that you want |
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310
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: $first_value is the number where it start to work, default it is 0 and never return the $first_value |
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311
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Throws : Don't return $first_value even it's palindrome |
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312
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Comment : Is like: |
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313
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$n = decreasing_sequence($s, $p); |
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314
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315
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=cut |
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316
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317
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318
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=head1 THANKS |
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319
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Bruno Buss and all community of rio.pm.org |
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320
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321
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322
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=head1 AUTHOR |
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323
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324
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Aureliano C. P. Guedes |
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325
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CPAN ID: acpguedes |
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326
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guedes.aureliano@gmail.com |
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327
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328
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=head1 COPYRIGHT |
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329
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330
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This program is free software; you can redistribute |
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331
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it and/or modify it under the same terms as Perl itself. |
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332
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333
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The full text of the license can be found in the |
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334
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LICENSE file included with this module. |
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335
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336
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337
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=head1 SEE ALSO |
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338
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339
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perl(1). |
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340
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341
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=cut |
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342
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343
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#################### main pod documentation end ################### |
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344
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345
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'Warning! The consumption of alcohol may cause you to think you have mystical kung-fu powers.'; |