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The numbers should be:
Rod 1: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31
Rod 2: 2,3,6,7,10,11,14,15,18,19,22,23,26,27,30,31
Rod 3: 4,5,6,7,12,13,14,15,20,21,22,23,28,29,30,31
Rod 4: 8,9,10,11,12,13,14,15,24,25,26,27,28,29,30,31
Rod 5: 16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31
This uses the same idea as the binary system. All you do is add up the first numbers of the rods that have the number on. It works becuase the first number of each rod are 1,2,4,8 & 16, and using those numbers you can make any numbers from 1 to 31. For example, to make 25 you use the numbers 1,8 and 16, which are rods 1,4 and 5, so 25 is only written on those three rods. |
