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choroba's Explore-all-possible-combinations mechanism works okay for smallish sets (max:32 or 64 depending upon your Perl), but will get very slow for anything much larger than 20 or so.

This will very quickly (less than 0.001 of a second) find a solution, if one exists, for sets of 100s or 1000s of elements. :

#! perl -slw use strict; use Time::HiRes qw[ time ]; use List::Util qw[ sum ]; sub partition { my $sum = sum @_; return if $sum & 1; $sum /= 2; my @s = sort{ $b <=> $a } @_; my @a; my( $t, $n ) = ( 0, -1 ); $t + $s[$n] <= $sum and $t+= $s[$n] and push @a, $n while ++$n < @ +s and $t <= $sum; @a = delete @s[ @a ]; @s = grep defined, @s; return unless sum( @a ) == sum( @s ); return \@a, \@s; } our $N //= 64; my( $a, $b ) = partition 1,3,5,7; print "sum( @{ $a } ) == sum( @{ $b } )" if $a; my @set = map int( rand 100 ), 1 .. $N; my $start = time; ( $a, $b ) = partition @set; printf "Took %f seconds\n", time() - $start; if( $a ) { printf "(%u) == sum( @{ $a } ) == sum( @{ $b } )\n", sum @$a; } else { print "No solution existed for the $N element set @set"; }

A few runs:

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In reply to Re: Divide an array into 2 subsets to verify their sum is equal or not. by BrowserUk
in thread Divide an array into 2 subsets to verify their sum is equal or not. by bimleshsharma

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    [Corion]: Hmm - I would say the 5.8.5 is a broken installation / corrupt tarball download, and the 5.10.0 is really weird, and maybe a bug in that version of Perl
    [Corion]: I don't see how my $result = eval q{'abc' =~ ?b?}; could create a "Modification of read-only value" error
    [marto]: Discipulus the issue that should be adressed is that the page needs to be updated to reflect modern perl on Windows
    [Discipulus]: but is really necessary to support these ancient versions? from 5.14 onward is not enough?
    [Discipulus]: yes marto I understood
    [Corion]: Discipulus: I'm slowly migrating my code to require 5.8.x ;) Most of my code works on 5.6, but Filter::signatures requires 5.10 I think
    [Corion]: 5.14 is also a good target, widely available and fairly stable. Also, over five years old, which doesn't push people into a needless upgrade cycle
    [Discipulus]: yes I saw your efforts Corion but the pain is worth?
    [Corion]: Discipulus: IMO it's not that much pain, but most of the systems I use have a Perl 5.14 or newer on them nowadays

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