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Versions on Combination Algorithm in Perl




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Algorithm by: Educator usingMaths

Our Combination code in Perl.


Combination Class File:


package COMBINATION;

BEGIN {
    require Exporter;

    # for the sake of standard
    our $VERSION = 2017.10;

    # Inherit from exporter to export functions and variables
    our @ISA = qw(Exporter);

    # Functions and variables to be exported by default
    our @EXPORT_OK = qw(possibleWordCombinations);
}

use warnings;
use strict;

my @words;
my $r# min length of word
my @comb_store# array of references
my $i;

# simulate an object construct
sub new {
    my $self = shift;
    
    my $this = {};
    bless $this$self;
    
    return $this;
}

# point of entry
# returns an array reference of references to array strings
sub possibleWordCombinations {
    shift;
    my $arg = shift;
    @words = @{$arg};
    $r = shift;
    @comb_store = ();
    $i = 0;
    # check for conformity
    if ($r <= 0 || $r > scalar @words) {
        @comb_store = ();
    } elsif ($r == 1) {
        $comb_store[$_] = [$words[$_]] for (0 .. $#words);
    } else {
        progressiveCombination();
    }
    return \@comb_store;
}

# do combinations for all 'words' element
sub progressiveCombination {
    # anonymous reference to a single element array as 1st argument
    repetitivePairing([$words[$i]], $i + 1);
    if ($i + $r <= scalar @words) {
        # move on to next degree
        $i++;
        progressiveCombination();
    }
}

# do all possible combinations for 1st element of this array
sub repetitivePairing {
    my $prefix_word = shift# array reference
    my $position = shift# int
    my @auxiliary_store = ();
    for (0 .. ($#words - $position)) {
        # check if desired -- r -- size will be realised
        if ($r - scalar @{$prefix_word} <= scalar @words - $position) {
            # dereference 'prefix_word' and save it as an anonymous array reference
            $auxiliary_store[$_] = [@{$prefix_word}];
            # save current 'word' to what 'aux_store[$_]' is referencing
            push @{$auxiliary_store[$_]}, $words[$position];
            if (scalar @{$auxiliary_store[$_]} < $r) {
                # 1st argument is an array reference - add next word on
                repetitivePairing($auxiliary_store[$_], $position + 1);
            } else {
                # save a reference '$auxiliary_store[$_]' to '@comb_store'
                push(@comb_store$auxiliary_store[$_]);
            }
        }
        $position++;
    }
}

1;


Main Class:


#!/usr/bin/perl;

use strict;
use warnings;

use COMBINATION;

my @subjects = ("Eno""Chidi""Olu""Ahmed""Osas""Gbeda");
my $r = 3;

# Use the combination module/class
my $combo = COMBINATION->new();

$result receives an array reference of references
my $result = $combo->possibleWordCombinations(\@subjects$r);

print ("[", join(", ", @subjects), "] combination ", $r, ":\n\n");
# for each array reference in a dereferenced '$result'
my $i = 0;
print (++$i": ", join(", ", @{$_}), "\n"for @{$result};
print ("\n\nNumber of ways is ", scalar @{$result}, ".");

print "\n\n";


Try it out!

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