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package Games::YASudoku::Board; |
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=head1 MODULE |
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Games::YASudoku::Board |
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=head1 DESCRIPTION |
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This module defines the Sudoku board. |
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=head1 METHODS |
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=over |
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=cut |
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1018
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use strict; |
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1037
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use Games::YASudoku::Square; |
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1642
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21
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22
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my $GROUPS = [ |
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[ 0, 1, 2, 9,10,11,18,19,20 ], |
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[ 3, 4, 5,12,13,14,21,22,23 ], |
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[ 6, 7, 8,15,16,17,24,25,26 ], |
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[ 27,28,29,36,37,38,45,46,47 ], |
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[ 30,31,32,39,40,41,48,49,50 ], |
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[ 33,34,35,42,43,44,51,52,53 ], |
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[ 54,55,56,63,64,65,72,73,74 ], |
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[ 57,58,59,66,67,68,75,76,77 ], |
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[ 60,61,62,69,70,71,78,79,80 ], |
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]; |
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34
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35
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sub new { |
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4
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0
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2850
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my $proto = shift; |
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4
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33
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26
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my $class = ref( $proto ) || $proto; |
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38
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39
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4
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9
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my $self = []; |
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40
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41
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4
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15
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bless $self, $class; |
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42
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4
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11
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$self->_init(); |
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44
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4
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12
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return $self; |
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45
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} |
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46
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47
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48
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=item B<_init> |
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49
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50
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initialize a new board |
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51
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The game board is 9 rows by 9 columns, but we will store the board in |
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52
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a one dimensional array - For example, element 9 will map to row 2, |
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53
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column 1 (keep in mind that the first element of the array is 0). |
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54
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55
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=cut |
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56
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57
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sub _init { |
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58
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4
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4
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my $self = shift; |
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59
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60
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4
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11
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for my $i ( 0 .. 80 ){ |
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61
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324
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344
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push @{$self}, Games::YASudoku::Square->new( $i ); |
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324
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1461
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62
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} |
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63
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64
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4
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11
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return $self; |
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65
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} |
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66
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67
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68
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=item B |
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69
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70
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Get rows will return a ref to an array of all the rows. get_row will |
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71
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just return one row - valid row numbers are 1 - 9. |
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72
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73
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=cut |
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74
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75
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sub get_rows { |
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76
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1
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1
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1
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460
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my $self = shift; |
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78
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1
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2
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my @rows; |
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1
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4
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for my $i ( 1 .. 9 ){ |
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9
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21
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push @rows, $self->get_row( $i ); |
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81
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} |
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82
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83
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1
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5
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return \@rows; |
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84
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} |
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85
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86
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87
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88
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sub get_row { |
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89
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1642
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1642
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1
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5371
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my $self = shift; |
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90
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1642
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1924
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my $row_num = shift; |
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91
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92
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1642
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50
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33
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10363
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return undef unless $row_num && ( $row_num >= 1 ) && ( $row_num <= 9); |
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33
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93
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94
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1642
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2574
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my $start = ( $row_num - 1 ) * 9; |
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95
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1642
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1693
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my @row; |
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96
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97
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1642
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2719
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for my $i ( $start .. ( $start + 8 ) ){ |
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98
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14778
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20565
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push @row, $self->[ $i ]; |
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} |
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100
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1642
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5203
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return \@row; |
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101
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} |
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102
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103
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104
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105
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=item B |
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106
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107
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Get cols will return a ref to an array of all the cols. get_col will |
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108
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just return one row - valid col numbers are 1 - 9. |
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109
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110
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=cut |
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111
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112
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sub get_cols { |
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113
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1
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1
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1
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347
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my $self = shift; |
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114
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115
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1
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3
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my @cols; |
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116
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1
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4
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for my $i ( 1 .. 9 ){ |
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117
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9
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2946
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push @cols, $self->get_col( $i ); |
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118
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} |
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119
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120
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1
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7
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return \@cols; |
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121
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} |
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122
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123
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sub get_col { |
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124
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1642
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1642
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1
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2294
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my $self = shift; |
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125
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1642
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1667
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my $col_num = shift; |
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126
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127
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1642
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50
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33
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9099
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return undef unless $col_num && ( $col_num >= 1 ) && ( $col_num <= 9); |
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33
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128
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129
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1642
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2002
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my $start = $col_num - 1; |
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130
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1642
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1460
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my @col; |
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131
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132
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1642
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2230
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foreach my $i ( 0 .. 8 ){ |
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133
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14778
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14642
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my $column = $start + ( $i * 9 ); |
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134
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14778
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22192
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push @col, $self->[ $column ]; |
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135
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} |
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136
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1642
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4673
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return \@col; |
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137
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} |
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138
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139
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140
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=item B |
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141
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142
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Groups are defined as a set of nine boxes group in squares, there are |
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143
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three rows of groups and three groups in each row. They are numbered |
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144
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as follows. |
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145
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146
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1 | 2 | 3 |
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147
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---|---|--- |
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148
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4 | 5 | 6 |
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149
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---|---|--- |
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150
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7 | 8 | 9 |
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151
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152
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get_grps will return a ref to an array of all the groups. get_grp will |
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153
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just return one group which can be specified by one of the numbers above. |
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154
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155
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=cut |
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156
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157
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sub get_grps { |
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158
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1
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1
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1
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637
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my $self = shift; |
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159
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160
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1
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4
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my @groups; |
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161
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1
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5
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for my $i ( 1 .. 9 ){ |
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162
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9
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20
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push @groups, $self->get_grp( $i ); |
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163
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} |
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164
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165
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1
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4
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return \@groups; |
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166
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} |
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167
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168
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sub get_grp { |
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169
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1642
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1642
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1
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2499
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my $self = shift; |
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170
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1642
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1546
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my $grp_num = shift; |
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171
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172
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1642
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50
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33
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8785
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return undef unless $grp_num && ( $grp_num >= 1 ) && ( $grp_num <= 9); |
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33
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173
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174
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1642
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1564
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my @grp; |
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175
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176
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1642
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1660
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foreach my $i ( @{ $GROUPS->[ $grp_num - 1 ] } ){ |
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1642
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2957
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177
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14778
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19613
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push @grp, $self->[ $i ]; |
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178
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} |
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179
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1642
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4040
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return \@grp; |
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180
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} |
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181
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182
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=item B |
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183
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184
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return a list of all the squares with values set |
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185
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186
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=cut |
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187
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188
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sub get_values { |
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189
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82
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82
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1
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122
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my $self = shift; |
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190
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191
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82
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107
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my @values; |
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192
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82
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87
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foreach my $square ( @{ $self } ){ |
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82
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161
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193
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6642
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100
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14217
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push @values, $square if ( $square->value ); |
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194
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} |
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195
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196
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82
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395
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return \@values; |
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197
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} |
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198
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199
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200
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201
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=item B |
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202
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203
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This method will return the three groups that the element is a member of. |
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204
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One row, one column and one group. |
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205
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206
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=cut |
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207
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208
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sub get_element_membership { |
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209
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1632
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1632
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1
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1970
|
my $self = shift; |
|
210
|
1632
|
|
|
|
|
1559
|
my $element = shift; |
|
211
|
|
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|
|
212
|
1632
|
|
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|
|
4047
|
my $element_id = $element->id; |
|
213
|
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|
214
|
|
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|
|
|
|
# what row is the element in |
|
215
|
1632
|
|
|
|
|
3292
|
my $row = int( $element_id / 9 ) + 1; |
|
216
|
1632
|
|
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|
|
2105
|
my $col = ($element_id % 9) + 1; |
|
217
|
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|
218
|
1632
|
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1548
|
my $grp; |
|
219
|
1632
|
|
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|
|
2627
|
for my $i ( 0 .. 8 ){ |
|
220
|
14688
|
100
|
|
|
|
14183
|
$grp = ($i + 1) if grep /^$element_id$/, @{ $GROUPS->[ $i ] }; |
|
|
14688
|
|
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|
|
151792
|
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|
221
|
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|
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|
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} |
|
222
|
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223
|
1632
|
|
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|
|
2053
|
my @membership; |
|
224
|
1632
|
|
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|
3369
|
push @membership, $self->get_row( $row ), |
|
225
|
|
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|
|
$self->get_col( $col ), |
|
226
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|
|
$self->get_grp( $grp ); |
|
227
|
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|
228
|
1632
|
|
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|
3467
|
return \@membership; |
|
229
|
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|
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} |
|
230
|
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231
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232
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=item B |
|
233
|
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|
234
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|
|
This method displays the current state of the board |
|
235
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|
236
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|
|
=cut |
|
237
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|
238
|
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|
|
|
sub show_board { |
|
239
|
2
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2
|
1
|
413
|
my $self = shift; |
|
240
|
|
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|
241
|
2
|
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|
|
5
|
my $board_text; |
|
242
|
2
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|
|
7
|
my $reg_row_mark = '+...' x 9 . '+'; |
|
243
|
2
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|
5
|
my $big_row_mark = '+---' x 9 . '+'; |
|
244
|
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|
|
|
245
|
2
|
|
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|
|
7
|
for my $i ( 0 .. 80 ){ |
|
246
|
162
|
100
|
|
|
|
339
|
if ( ($i % 9) == 0 ) { |
|
247
|
18
|
100
|
|
|
|
37
|
if ( ($i % 27 ) == 0 ){ |
|
248
|
6
|
|
|
|
|
18
|
$board_text .= "\n$big_row_mark\n|"; |
|
249
|
|
|
|
|
|
|
} else { |
|
250
|
12
|
|
|
|
|
28
|
$board_text .= "\n$reg_row_mark\n|"; |
|
251
|
|
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|
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|
|
} |
|
252
|
|
|
|
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|
|
} |
|
253
|
162
|
|
|
|
|
470
|
my $value = $self->[$i]->value; |
|
254
|
162
|
100
|
|
|
|
265
|
if ( $value ){ |
|
255
|
105
|
|
|
|
|
289
|
$board_text .= sprintf( " %1d ", $self->[$i]->value ); |
|
256
|
|
|
|
|
|
|
} else { |
|
257
|
57
|
|
|
|
|
63
|
$board_text .= " "; |
|
258
|
|
|
|
|
|
|
} |
|
259
|
162
|
100
|
|
|
|
331
|
if ( (( $i +1 ) % 3 ) == 0 ){ |
|
260
|
54
|
|
|
|
|
124
|
$board_text .= '|'; |
|
261
|
|
|
|
|
|
|
} else { |
|
262
|
108
|
|
|
|
|
223
|
$board_text .= ':'; |
|
263
|
|
|
|
|
|
|
} |
|
264
|
|
|
|
|
|
|
} |
|
265
|
|
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|
|
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|
266
|
2
|
|
|
|
|
9
|
$board_text .= "\n$big_row_mark\n"; |
|
267
|
|
|
|
|
|
|
|
|
268
|
2
|
|
|
|
|
562
|
return $board_text; |
|
269
|
|
|
|
|
|
|
} |
|
270
|
|
|
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|
|
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|
271
|
|
|
|
|
|
|
=item B |
|
272
|
|
|
|
|
|
|
|
|
273
|
|
|
|
|
|
|
This method displays the current state of the board including the possible |
|
274
|
|
|
|
|
|
|
values for each unsolved square. |
|
275
|
|
|
|
|
|
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|
|
276
|
|
|
|
|
|
|
=cut |
|
277
|
|
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|
|
|
278
|
|
|
|
|
|
|
|
|
279
|
|
|
|
|
|
|
sub show_board_detail { |
|
280
|
0
|
|
|
0
|
1
|
0
|
my $self = shift; |
|
281
|
|
|
|
|
|
|
|
|
282
|
0
|
|
|
|
|
0
|
my $board_text; |
|
283
|
0
|
|
|
|
|
0
|
my $reg_row_mark = '+.........' x 9 . '+'; |
|
284
|
0
|
|
|
|
|
0
|
my $big_row_mark = '+---------' x 9 . '+'; |
|
285
|
|
|
|
|
|
|
|
|
286
|
0
|
|
|
|
|
0
|
for my $i ( 0 .. 80 ){ |
|
287
|
0
|
0
|
|
|
|
0
|
if ( ($i % 9) == 0 ) { |
|
288
|
0
|
0
|
|
|
|
0
|
if ( ($i % 27 ) == 0 ){ |
|
289
|
0
|
|
|
|
|
0
|
$board_text .= "\n$big_row_mark\n|"; |
|
290
|
|
|
|
|
|
|
} else { |
|
291
|
0
|
|
|
|
|
0
|
$board_text .= "\n$reg_row_mark\n|"; |
|
292
|
|
|
|
|
|
|
} |
|
293
|
|
|
|
|
|
|
} |
|
294
|
0
|
|
|
|
|
0
|
my $value = $self->[$i]->value; |
|
295
|
0
|
0
|
|
|
|
0
|
if ( $value ){ |
|
296
|
0
|
|
|
|
|
0
|
$board_text .= sprintf( " %7d ", $self->[$i]->value ); |
|
297
|
|
|
|
|
|
|
} else { |
|
298
|
0
|
|
|
|
|
0
|
$board_text .= sprintf("(%7s)", join('', @{ $self->[$i]->valid })); |
|
|
0
|
|
|
|
|
0
|
|
|
299
|
|
|
|
|
|
|
} |
|
300
|
0
|
0
|
|
|
|
0
|
if ( (( $i +1 ) % 3 ) == 0 ){ |
|
301
|
0
|
|
|
|
|
0
|
$board_text .= '|'; |
|
302
|
|
|
|
|
|
|
} else { |
|
303
|
0
|
|
|
|
|
0
|
$board_text .= ':'; |
|
304
|
|
|
|
|
|
|
} |
|
305
|
|
|
|
|
|
|
} |
|
306
|
|
|
|
|
|
|
|
|
307
|
0
|
|
|
|
|
0
|
$board_text .= "\n$big_row_mark\n"; |
|
308
|
|
|
|
|
|
|
|
|
309
|
0
|
|
|
|
|
0
|
return $board_text; |
|
310
|
|
|
|
|
|
|
} |
|
311
|
|
|
|
|
|
|
|
|
312
|
|
|
|
|
|
|
|
|
313
|
|
|
|
|
|
|
=item B |
|
314
|
|
|
|
|
|
|
|
|
315
|
|
|
|
|
|
|
this method solve the board |
|
316
|
|
|
|
|
|
|
|
|
317
|
|
|
|
|
|
|
=cut |
|
318
|
|
|
|
|
|
|
|
|
319
|
|
|
|
|
|
|
sub run_board { |
|
320
|
1
|
|
|
1
|
1
|
12
|
my $self = shift; |
|
321
|
|
|
|
|
|
|
|
|
322
|
1
|
|
|
|
|
2
|
my $new_values = 0; |
|
323
|
1
|
|
|
|
|
2
|
my $values = @{$self->get_values}; |
|
|
1
|
|
|
|
|
6
|
|
|
324
|
1
|
|
|
|
|
3
|
my $passes = 0; |
|
325
|
1
|
|
|
|
|
5
|
while ( $values != $new_values ){ |
|
326
|
3
|
|
|
|
|
11
|
$self->pass_one; |
|
327
|
3
|
|
|
|
|
23
|
$self->pass_two; |
|
328
|
|
|
|
|
|
|
|
|
329
|
3
|
|
|
|
|
21
|
$passes++; |
|
330
|
3
|
|
|
|
|
7
|
$values = $new_values; |
|
331
|
3
|
|
|
|
|
7
|
$new_values = @{$self->get_values}; |
|
|
3
|
|
|
|
|
13
|
|
|
332
|
|
|
|
|
|
|
} |
|
333
|
1
|
|
|
|
|
8
|
return $passes; |
|
334
|
|
|
|
|
|
|
} |
|
335
|
|
|
|
|
|
|
|
|
336
|
|
|
|
|
|
|
|
|
337
|
|
|
|
|
|
|
=item B |
|
338
|
|
|
|
|
|
|
|
|
339
|
|
|
|
|
|
|
the first pass looks for values and reduces valid_num arrays |
|
340
|
|
|
|
|
|
|
|
|
341
|
|
|
|
|
|
|
=cut |
|
342
|
|
|
|
|
|
|
|
|
343
|
|
|
|
|
|
|
sub pass_one { |
|
344
|
17
|
|
|
17
|
1
|
26
|
my $self = shift; |
|
345
|
|
|
|
|
|
|
|
|
346
|
17
|
|
|
|
|
17
|
my $new_values = 0; |
|
347
|
17
|
|
|
|
|
23
|
my $values = @{$self->get_values}; |
|
|
17
|
|
|
|
|
50
|
|
|
348
|
17
|
|
|
|
|
71
|
while ( $values != $new_values ){ |
|
349
|
|
|
|
|
|
|
|
|
350
|
41
|
|
|
|
|
60
|
foreach my $element ( @{ $self } ){ |
|
|
41
|
|
|
|
|
69
|
|
|
351
|
3321
|
100
|
|
|
|
7921
|
next if $element->value; |
|
352
|
1545
|
|
|
|
|
2843
|
my $ms = $self->get_element_membership( $element ); |
|
353
|
|
|
|
|
|
|
|
|
354
|
1545
|
|
|
|
|
1661
|
foreach my $member ( @{ $ms } ){ |
|
|
1545
|
|
|
|
|
2444
|
|
|
355
|
4635
|
|
|
|
|
5054
|
foreach my $e ( @{ $member } ){ |
|
|
4635
|
|
|
|
|
7194
|
|
|
356
|
41715
|
100
|
|
|
|
94635
|
next unless $e->value; |
|
357
|
|
|
|
|
|
|
|
|
358
|
16517
|
|
|
|
|
37846
|
$element->valid_del( $e->value ); |
|
359
|
16517
|
50
|
|
|
|
17977
|
if ( @{ $element->valid } == 0 ){ |
|
|
16517
|
|
|
|
|
32804
|
|
|
360
|
0
|
|
|
|
|
0
|
warn $self->show_board_detail; |
|
361
|
1
|
|
|
1
|
|
1325582
|
use Data::Dumper; |
|
|
1
|
|
|
|
|
9276
|
|
|
|
1
|
|
|
|
|
583
|
|
|
362
|
0
|
|
|
|
|
0
|
warn Dumper $element; |
|
363
|
0
|
|
|
|
|
0
|
warn Dumper $e; |
|
364
|
0
|
|
|
|
|
0
|
warn Dumper $member; |
|
365
|
0
|
|
|
|
|
0
|
die "Something very wrong here!!!!"; |
|
366
|
|
|
|
|
|
|
} |
|
367
|
|
|
|
|
|
|
} |
|
368
|
|
|
|
|
|
|
} |
|
369
|
|
|
|
|
|
|
|
|
370
|
1545
|
|
|
|
|
4063
|
my @valid = $element->valid; |
|
371
|
1545
|
100
|
|
|
|
1792
|
if ( @{ $element->valid } == 1 ){ |
|
|
1545
|
|
|
|
|
3567
|
|
|
372
|
43
|
|
|
|
|
121
|
$element->value( $element->valid->[0] ); |
|
373
|
|
|
|
|
|
|
} |
|
374
|
|
|
|
|
|
|
} |
|
375
|
|
|
|
|
|
|
|
|
376
|
41
|
|
|
|
|
71
|
$values = $new_values; |
|
377
|
41
|
|
|
|
|
54
|
$new_values = @{$self->get_values}; |
|
|
41
|
|
|
|
|
134
|
|
|
378
|
|
|
|
|
|
|
} |
|
379
|
17
|
|
|
|
|
33
|
return @{$self->get_values}; |
|
|
17
|
|
|
|
|
107
|
|
|
380
|
|
|
|
|
|
|
} |
|
381
|
|
|
|
|
|
|
|
|
382
|
|
|
|
|
|
|
=item B |
|
383
|
|
|
|
|
|
|
|
|
384
|
|
|
|
|
|
|
this pass looks for valid_num arrays which have a unique value |
|
385
|
|
|
|
|
|
|
and therefore need to have that value assigned to them |
|
386
|
|
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
Example: Square 1 can be (1,2,3) |
|
388
|
|
|
|
|
|
|
Square 2 can be (2,3,4,6) |
|
389
|
|
|
|
|
|
|
Square 3 can be (2,3,4,5) |
|
390
|
|
|
|
|
|
|
Square 4 can be (5,6) |
|
391
|
|
|
|
|
|
|
Since square 1 is the only one with a '1', it needs to be 1 |
|
392
|
|
|
|
|
|
|
|
|
393
|
|
|
|
|
|
|
=cut |
|
394
|
|
|
|
|
|
|
|
|
395
|
|
|
|
|
|
|
sub pass_two { |
|
396
|
3
|
|
|
3
|
1
|
6
|
my $self = shift; |
|
397
|
|
|
|
|
|
|
|
|
398
|
3
|
|
|
|
|
6
|
foreach my $element ( @{ $self } ){ |
|
|
3
|
|
|
|
|
8
|
|
|
399
|
243
|
100
|
|
|
|
824
|
next if $element->value; |
|
400
|
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
# get all the groups this square is an member of |
|
403
|
86
|
|
|
|
|
109
|
foreach my $member ( @{$self->get_element_membership($element)}){ |
|
|
86
|
|
|
|
|
178
|
|
|
404
|
238
|
|
|
|
|
249
|
my %valid_nums; |
|
405
|
238
|
|
|
|
|
240
|
map { $valid_nums{ $_ } = $_ } @{ $element->valid }; |
|
|
758
|
|
|
|
|
6426
|
|
|
|
238
|
|
|
|
|
556
|
|
|
406
|
|
|
|
|
|
|
|
|
407
|
238
|
|
|
|
|
254
|
foreach my $e ( @{$member} ){ |
|
|
238
|
|
|
|
|
351
|
|
|
408
|
|
|
|
|
|
|
# don't work on the current element |
|
409
|
2142
|
100
|
|
|
|
6483
|
next if ( $e->id == $element->id ); |
|
410
|
1904
|
100
|
|
|
|
4466
|
next if ( $e->value ); # skip element that is already processed |
|
411
|
|
|
|
|
|
|
|
|
412
|
1098
|
|
|
|
|
1152
|
foreach my $valid ( @{ $e->valid } ){ |
|
|
1098
|
|
|
|
|
2332
|
|
|
413
|
2403
|
|
|
|
|
2953
|
delete $valid_nums{ $valid }; |
|
414
|
2403
|
100
|
|
|
|
5416
|
last if (( keys %valid_nums ) == 0 ); |
|
415
|
|
|
|
|
|
|
} |
|
416
|
|
|
|
|
|
|
} |
|
417
|
|
|
|
|
|
|
|
|
418
|
238
|
100
|
|
|
|
860
|
if ( (keys %valid_nums) == 1 ){ |
|
419
|
14
|
|
|
|
|
34
|
my @keys = keys %valid_nums; |
|
420
|
14
|
|
|
|
|
101
|
$element->value( $keys[0] ); |
|
421
|
14
|
|
|
|
|
43
|
$self->pass_one; |
|
422
|
14
|
|
|
|
|
171
|
last; |
|
423
|
|
|
|
|
|
|
} |
|
424
|
|
|
|
|
|
|
} |
|
425
|
|
|
|
|
|
|
} |
|
426
|
|
|
|
|
|
|
|
|
427
|
3
|
|
|
|
|
9
|
return @{$self->get_values}; |
|
|
3
|
|
|
|
|
13
|
|
|
428
|
|
|
|
|
|
|
} |
|
429
|
|
|
|
|
|
|
|
|
430
|
|
|
|
|
|
|
|
|
431
|
|
|
|
|
|
|
1; |
|
432
|
|
|
|
|
|
|
|
|
433
|
|
|
|
|
|
|
|
|
434
|
|
|
|
|
|
|
=head1 AUTHOR |
|
435
|
|
|
|
|
|
|
|
|
436
|
|
|
|
|
|
|
Andrew Wyllie |
|
437
|
|
|
|
|
|
|
|
|
438
|
|
|
|
|
|
|
=head1 BUGS |
|
439
|
|
|
|
|
|
|
|
|
440
|
|
|
|
|
|
|
Please send any bugs to the author |
|
441
|
|
|
|
|
|
|
|
|
442
|
|
|
|
|
|
|
=head1 COPYRIGHT |
|
443
|
|
|
|
|
|
|
|
|
444
|
|
|
|
|
|
|
The Games::YASudoku moudule is free software and can be redistributed |
|
445
|
|
|
|
|
|
|
and/or modified under the same terms as Perl itself. |
|
446
|
|
|
|
|
|
|
|