5/24    Someone was asking whether the solution to my last question was posted.
        It was not.  I received one correct answer, however, and with that
        person's help went on to learn something new about the problem.
        The problem (along with all others I asked, and some others) are on
        my problems page, if anyone is interested.  -- ilyas
        \_ Okay, I got a 75% solution for the hat problem.  Care to post
           solutions to the other problems?
           \_ Email me. -- ilyas