#! /usr/bin/env raku

unit sub MAIN (Int $limit where $limit > 1 = 100, :$verbose);

my $prev-sum = 0;
my $prev-inc = 0;
my $prev-inx = 0;

my @result;

for 2 .. $limit -> $number
{
  my @list = 1 .. $number;

  my $sum = bit-sum(@list);
  my $inc = $sum - $prev-sum;
  my $inx = $inc - $prev-inc;
  
  say ": bit-sum 1..{ $number.fmt("%3d") } -> { $sum.fmt("%3d") } ->  { $inc.fmt("%3d") } ->  { $inx.fmt("%3d") }" if $verbose;

  @result.push: $inx;
  
  $prev-sum = $sum;
  $prev-inc = $inc;
  $prev-inx = $inx;
}

put @result;

sub bit-sum (*@numbers where @numbers.elems > 1 && all(@numbers) ~~ Int)
{
  my $grand-total;

  for @numbers.combinations(2) -> $list
  {
    my $sum = bit-diff(|$list);
    $grand-total += $sum;
  }

  return $grand-total;

  sub bit-diff (Int $a, Int $b)
  {
    return ($a +^ $b).base(2).comb.sum;
  }
}