use strict;
use warnings;
use Algorithm::Bucketizer;
use List::Util qw( sum );
use POSIX qw( ceil );


my @arrays = (
  [ qw( 1 3 8 4 ) ],
  [ qw( 1 6 2   ) ],
  [ qw( 1 3 5 7 ) ],
);

foreach my $array ( @arrays ) {
  print "( @{$array} ) can ",
        can_evenly_distribute( @{$array} ) ? '' : 'not ',
        "be evenly distributed.\n";
}

sub can_evenly_distribute {
  my @elements = @_;
  my $b_size = ceil( sum( @elements ) / 2 );

  my $b = Algorithm::Bucketizer->new(
    bucketsize => $b_size,
    algorithm  => 'retry'
  );

  $b->add_item( $_, $_ ) foreach @elements;

  $b->optimize( algorithm => 'random', maxrounds => @elements * 10 );

  my @buckets = $b->buckets;

  return    @buckets == 2
         && sum( $buckets[0]->items ) == sum( $buckets[1]->items );

}