#!/usr/bin/perl use warnings; use strict; sub _summands { my ($target, @numbers) = @_; return [[]] if 0 == $target; my @results; for my $index (0 .. $#numbers) { my $number = $numbers[$index]; my @remaining = @numbers[ grep $_ != $index, 0 .. $#numbers ]; next if $target - $number < 0; my $result = _summands($target - $number, @remaining); push @results, map [$number, @$_], grep ! @$_ || $number <= $_->[0], @$result; } return \@results } sub summands { my $results = _summands(@_); my %unique; for my $result (@$results) { undef $unique{"@$result"}; } return [ map [split ' '], keys %unique ] } use Test::More tests => 2; use Test::Deep; cmp_deeply summands(100, 1, 99, 2, 40, 50, 60, 90, 3, 5, 95, 100), bag([100], [1, 99], [2, 3, 95], [5, 95], [2, 3, 5, 90], [2, 3, 5, 40, 50], [40, 60]); cmp_deeply summands(100, 5, 5, 5, 5, 10, 15, 80, 99), bag([5, 15, 80], [5, 5, 5, 5, 80], [5, 5, 10, 80]);