#Division eq fractions eq multiplication... sub mul{ #If peasants can't multiply they certainly can't grok fractions use integer; my ($i, $j) = @_; my @results = ([$i, $j]); #Halve until we can halve no more while($i > 1){ my @z = ($i=halve($i), $j=double($j)); push @results, [@z]; } my $total; foreach( @results ){ #Even halves are evil $total += $_->[1] if $_->[0] % 2; } return $total; sub double{ #Cloning err doubling is easy; $_[0]+=$_[0]; } sub halve{ #Halving is a bit more tedious; my $count=0; while($_[0]>1){$_[0]-=2; $count++}; return $count; } }