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Fun fact: it's possible to solve this puzzle even if you have to declare which balls you want weighed against each other in each of the three experiments before
by imurray 15y ago
Fun fact: it's possible to solve this puzzle even if you have to declare which balls you want weighed against each other in each of the three experiments before you get any results in.
- tomp 15y agoas in: I will weight 'CDEF' against 'ABHI' in the second experiment regardless of what is the result of the first experiment? If yes, care to give a hint? :P
- imurray 15y agoYes. I'm afraid I'm heading off and can't think of a good way to hint Right Now. (It's Exercise 4.13 in http://www.inference.phy.cam.ac.uk/mackay/itila/book.html http://www.inference.phy.cam.ac.uk/mackay/itila/book.html ... and there is a solution and other related weighing problems in there.)
- shasta 15y agoHint: after your initial weighing, tape some of the balls together (with weightless tape). Bigger hint, label the balls: aaa aab aba abb baa bab bba bbb caa cab cba cbb.
- shaggyfrog 15y agoThis is also called a "non-adaptive" solution.