Many years ago I was a substitute teacher for the PF Academy for Incorrigible Youths. On my first day teaching I was pulled aside by the principal who told me a little bit about the kids in my class. “You have a rotten bunch of kids to look after, I feel sorry for you. These are the bottom of the barrel, three boys Artman, Gokul43201, and Greg B. and three girls Evo, Math Is Hard, and Moonbear. About the only thing these kids have in common, other than their bad attitudes, is the fact that only one third of the things they say are the truth, the other two-thirds are pure fabrications. They are quite adamant about it. Good Luck.” I was full of nervous energy after hearing this, but my class didn’t start for another twenty minutes so I passed the time by rearranging the desks and placing a name tag on each one. I formed a circle out of the desks, in alphabetical order, faced them all towards a chair in the middle where I would sit. All of a sudden the bell rang and 6 rotten looking kids walked in and took a seat. I immediately knew I was in trouble because there was a girl sitting at Artman’s desk. Oh well, substitute teachers have had to endure this hazing ritual for centuries. I sat down in my chair and faced the girl sitting at Artman’s desk. “Please raise your hand if you are in the correct desk according to the nametags I placed in front of you. The girl “Artman” (call that desk 1) did not raise her hand. Going clockwise the kids sitting at desks 2, 3 and 6 did. “How many of you are lying?” I joked. Surprisingly hands went up at desks 1, 3, 5 and 6. Okay, I thought. I can figure this out. “Raise your hand if you are an odd number of chairs away from the desk with your name on it” the only hands that did not go up were the kids positioned at 4 and 6. “How many of you are facing your desk?” The first four kids raised their hands. “Gotcha!!” I yelled and picked up the name tags and put them in front of the correct kid. Which kid sat at each desk?