| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
|
1
|
|
|
|
|
|
|
package Algorithm::X::ExactCoverProblem; |
|
2
|
|
|
|
|
|
|
|
|
3
|
3
|
|
|
3
|
|
236797
|
use strict; |
|
|
3
|
|
|
|
|
8
|
|
|
|
3
|
|
|
|
|
101
|
|
|
4
|
3
|
|
|
3
|
|
42
|
use warnings; |
|
|
3
|
|
|
|
|
5
|
|
|
|
3
|
|
|
|
|
173
|
|
|
5
|
|
|
|
|
|
|
|
|
6
|
|
|
|
|
|
|
require 5.06.0; |
|
7
|
|
|
|
|
|
|
|
|
8
|
3
|
|
|
3
|
|
16
|
use Carp; |
|
|
3
|
|
|
|
|
4
|
|
|
|
3
|
|
|
|
|
1946
|
|
|
9
|
|
|
|
|
|
|
|
|
10
|
|
|
|
|
|
|
# Constructor with width and secondary_columns |
|
11
|
|
|
|
|
|
|
sub new { |
|
12
|
22
|
|
|
22
|
0
|
573060
|
my ($class, $width, $rows_ref, $secondary_columns) = @_; |
|
13
|
22
|
100
|
|
|
|
58
|
$width = 0 unless defined $width; |
|
14
|
22
|
100
|
|
|
|
51
|
$secondary_columns = 0 unless defined $secondary_columns; |
|
15
|
|
|
|
|
|
|
|
|
16
|
22
|
|
|
|
|
85
|
my $self = bless { |
|
17
|
|
|
|
|
|
|
rows_ => [], |
|
18
|
|
|
|
|
|
|
width_ => $width, |
|
19
|
|
|
|
|
|
|
secondary_columns_ => $secondary_columns, |
|
20
|
|
|
|
|
|
|
}, $class; |
|
21
|
|
|
|
|
|
|
|
|
22
|
22
|
50
|
|
|
|
54
|
if ($secondary_columns > $width) { |
|
23
|
0
|
|
|
|
|
0
|
croak("secondary_columns > width"); |
|
24
|
|
|
|
|
|
|
} |
|
25
|
|
|
|
|
|
|
|
|
26
|
22
|
100
|
|
|
|
46
|
if (defined $rows_ref) { |
|
27
|
8
|
|
|
|
|
13
|
foreach my $row (@$rows_ref) { |
|
28
|
8
|
|
|
|
|
39
|
$self->add_row($row); |
|
29
|
|
|
|
|
|
|
} |
|
30
|
|
|
|
|
|
|
} |
|
31
|
|
|
|
|
|
|
|
|
32
|
18
|
|
|
|
|
67
|
return $self; |
|
33
|
|
|
|
|
|
|
} |
|
34
|
|
|
|
|
|
|
|
|
35
|
|
|
|
|
|
|
# Factory method for a dense ExactCoverProblem (binary matrix) |
|
36
|
|
|
|
|
|
|
sub dense { |
|
37
|
12
|
|
|
12
|
0
|
26090
|
my ($class, $bit_rows_ref, $secondary_columns) = @_; |
|
38
|
|
|
|
|
|
|
|
|
39
|
12
|
100
|
|
|
|
37
|
if (!@$bit_rows_ref) { |
|
40
|
1
|
|
|
|
|
2
|
return $class->new(0, undef, $secondary_columns); |
|
41
|
|
|
|
|
|
|
} |
|
42
|
|
|
|
|
|
|
|
|
43
|
11
|
|
|
|
|
16
|
my $width = scalar @{$bit_rows_ref->[0]}; |
|
|
11
|
|
|
|
|
21
|
|
|
44
|
11
|
|
|
|
|
31
|
my $problem = $class->new($width, undef, $secondary_columns); |
|
45
|
|
|
|
|
|
|
|
|
46
|
11
|
|
|
|
|
24
|
foreach my $bits (@$bit_rows_ref) { |
|
47
|
15
|
100
|
|
|
|
50
|
if (scalar @$bits != $width) { |
|
48
|
1
|
|
|
|
|
17
|
croak("rows have different lengths"); |
|
49
|
|
|
|
|
|
|
} |
|
50
|
|
|
|
|
|
|
|
|
51
|
13
|
|
|
|
|
19
|
my @row; |
|
52
|
13
|
|
|
|
|
44
|
for (my $i = 0; $i < @$bits; ++$i) { |
|
53
|
12
|
100
|
100
|
|
|
45
|
if ($bits->[$i] != 0 && $bits->[$i] != 1) { |
|
54
|
1
|
|
|
|
|
11
|
croak("dense matrix must contain only 0s and 1s"); |
|
55
|
|
|
|
|
|
|
} |
|
56
|
11
|
100
|
|
|
|
37
|
push @row, $i if $bits->[$i]; |
|
57
|
|
|
|
|
|
|
} |
|
58
|
12
|
|
|
|
|
32
|
$problem->add_row(\@row); |
|
59
|
|
|
|
|
|
|
} |
|
60
|
|
|
|
|
|
|
|
|
61
|
8
|
|
|
|
|
42
|
return $problem; |
|
62
|
|
|
|
|
|
|
} |
|
63
|
|
|
|
|
|
|
|
|
64
|
|
|
|
|
|
|
# Accessors |
|
65
|
|
|
|
|
|
|
sub width { |
|
66
|
14
|
|
|
14
|
0
|
34
|
my ($self) = @_; |
|
67
|
14
|
|
|
|
|
104
|
return $self->{width_}; |
|
68
|
|
|
|
|
|
|
} |
|
69
|
|
|
|
|
|
|
|
|
70
|
|
|
|
|
|
|
sub rows { |
|
71
|
10
|
|
|
10
|
0
|
19
|
my ($self) = @_; |
|
72
|
10
|
|
|
|
|
48
|
return $self->{rows_}; |
|
73
|
|
|
|
|
|
|
} |
|
74
|
|
|
|
|
|
|
|
|
75
|
|
|
|
|
|
|
sub secondary_columns { |
|
76
|
6
|
|
|
6
|
0
|
15
|
my ($self) = @_; |
|
77
|
6
|
|
|
|
|
25
|
return $self->{secondary_columns_}; |
|
78
|
|
|
|
|
|
|
} |
|
79
|
|
|
|
|
|
|
|
|
80
|
|
|
|
|
|
|
sub add_row { |
|
81
|
20
|
|
|
20
|
0
|
34
|
my ($self, $row_ref) = @_; |
|
82
|
|
|
|
|
|
|
|
|
83
|
20
|
|
|
|
|
48
|
my @row = sort { $a <=> $b } @$row_ref; |
|
|
2
|
|
|
|
|
11
|
|
|
84
|
20
|
|
|
|
|
33
|
foreach my $x (@row) { |
|
85
|
12
|
100
|
|
|
|
47
|
if ($x >= $self->{width_}) { |
|
86
|
3
|
|
|
|
|
53
|
croak("column out of range"); |
|
87
|
|
|
|
|
|
|
} |
|
88
|
|
|
|
|
|
|
} |
|
89
|
|
|
|
|
|
|
|
|
90
|
17
|
|
|
|
|
41
|
for (my $i = 1; $i < @row; ++$i) { |
|
91
|
2
|
100
|
|
|
|
9
|
if ($row[$i - 1] == $row[$i]) { |
|
92
|
1
|
|
|
|
|
8
|
croak("duplicate columns"); |
|
93
|
|
|
|
|
|
|
} |
|
94
|
|
|
|
|
|
|
} |
|
95
|
|
|
|
|
|
|
|
|
96
|
16
|
|
|
|
|
23
|
push @{$self->{rows_}}, \@row; |
|
|
16
|
|
|
|
|
83
|
|
|
97
|
|
|
|
|
|
|
} |
|
98
|
|
|
|
|
|
|
|
|
99
|
|
|
|
|
|
|
# Override stringification |
|
100
|
|
|
|
|
|
|
use overload |
|
101
|
3
|
|
|
3
|
|
3270
|
'""' => \&stringify; |
|
|
3
|
|
|
|
|
5023
|
|
|
|
3
|
|
|
|
|
26
|
|
|
102
|
|
|
|
|
|
|
|
|
103
|
|
|
|
|
|
|
sub stringify { |
|
104
|
0
|
|
|
0
|
0
|
|
my ($self) = @_; |
|
105
|
0
|
|
|
|
|
|
my $output = $self->width() . ' ' . $self->secondary_columns() . "\n"; |
|
106
|
0
|
|
|
|
|
|
foreach my $row (@{$self->rows()}) { |
|
|
0
|
|
|
|
|
|
|
|
107
|
0
|
|
|
|
|
|
$output .= join(' ', @$row) . "\n"; |
|
108
|
|
|
|
|
|
|
} |
|
109
|
0
|
|
|
|
|
|
return $output; |
|
110
|
|
|
|
|
|
|
} |
|
111
|
|
|
|
|
|
|
|
|
112
|
|
|
|
|
|
|
1; |
|
113
|
|
|
|
|
|
|
|