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Solution to Puzzle 23.  MEASURING DISTANCES

If you have a piece of straightedge 121 centimeters long, how can you cut it into five pieces so that you can measure any integral centimeter distance of 1 to 121 centimeters.  You can only use once each smaller straightedge you cut during the measurement.  

Solution:  Cut the straightedge into five pieces with lengths of 1 cm, 3 cm, 9 cm, 27 cm, and 81 cm.  These lengths are powers of 3.


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