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Upgrade to 13 (Posted on 2011-02-16) Difficulty: 4 of 5
The classical problem of eliminating a false coin out of 12 given can be solved using three steps of weighing by a simple level-balance, even without prior knowledge of the false coin being heavier or lighter than the standard coins.

Solve the same problem for 13 coins (i.e. 12 normal, one false , 3 steps to establish which is the different one and whether it is lighter or heavier), provided you may use a balance-scale with non-equal arms.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Hints/Tips re: Almost solution. One hint, no spoiler | Comment 2 of 4 |
(In reply to Almost solution. by Jer)

Try arms with 2:1 length ratio, 3 coins will balance 6 if none is false etc
  Posted by Ady TZIDON on 2011-02-18 04:40:28

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