Similarly, attach even-numbered wires to batteries in the following pairs: (4 and 6), (8 and 10), (12 and 14), and so on, all the way through (96 and 98). Now go 1 mile back to the house, and attach odd-numbered wires to batteries in the following pairs: (1 and 3), (5 and 7), (9 and 11), and so on, all the way through (97 and 99).
Put a rubberband around this pair of wires as well, but mark it so you remember that they are wires 1 and 2. The two wires that don't light up any lightbulbs are wires 1 and 2 (though you don't know yet which one of them is wire 1 and which is wire 2). Put a rubberband around each pair or wires that light up the lightbulb. Now travel 1 mile to the shed, and using the lightbulb, find all pairs of wires that light it up. Starting from the house, don't attach wires 1 and 2 to any batteries, but for the remaining wires, attach them in consecutive pairs to batteries (so attach wires 3 and 4 to the same battery, attach wires 5 and 6 to the same battery, and so on all the way through wires 99 and 100). Which of your friends is correct? And what strategy would you use to travel that number of miles to label all of the wires in the shed?īelieve it or not, you can do it travelling only 3 miles! "That will require you to travel 15 miles!" of of them exclaims. You tell a few friends about the task at hand. Your goal, starting in the house, is to travel as little distance as possible in order to label all of the wires in the shed.
Note that you don't have to attach all of the wires to batteries if you don't want to. (Basically, each battery you use will have exactly two wires attached to it). Also, you cannot attach more than two wires to a given battery at one time. You can use as many of the batteries as you want, but you cannot attach any given wire to more than one battery at a time. The lightbulb will only light up if you touch it to two wires that are attached to the same battery. If you then go to the shed and touch those two wires to the lightbulb, it will light up. The way it works is that in the house, you can take any two wires and attach them to a single battery. To help you label the ends of the wires in the shed, there are an unlimited supply of batteries in the house, and a single lightbulb in the shed. Your task is to label the ends of the wires protruding from the shed wall with the same number as the other end of the wire from the house (so, for example, the wire with its end labeled "47" in the house should have its other end in the shed labeled "47" as well). The ends of the wires coming out of the house wall each have a small tag on them, labeled with each number from 1 to 100 (so one of the wires is labeled "1", one is labeled "2", and so on, all the way through "100"). There is a small hole in one of the interior walls of the house, through which 100 identical wires are protruding.įrom this hole, the wires run underground all the way to a small shed exactly 1 mile away from the house, and are protruding from one of the shed's walls so that they are accessible from inside the shed. You are standing in a house in the middle of the countryside. War Watches Water Weather Wind Wine Winter Wolves Women Work
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