Dear AlphaNumeric: You are utterly incorrect about Noodler's puzzle. I believe this topic has become too challenging for your mind and thus fustration has set in. I will advise you to rein in any feeling of envy or jealousy that you may be experiencing at this moment. I hope that we can continue to delight ourselves with this marvellous thread. LC, Ph.D., Los Alamos National Laboratory. Los Alamos, New Mexico.