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attn william bashless (long) by gibuu 2004-12-30 12:16:08
I'm not sure if this is what Fireballmatt had but your puzzle is haunting me here is what I think is a solution

Weigh 1
Divide the coins into 3 groups of 4: G1, G2, G#
weigh G1 against G2
If balance
proceed to weigh 2.1 with coins from G3
Else
proceed to weigh 2.2 with coins from G1 and G2

Weigh 2.1
For convenience letter the 4 remaining coins: a b c d
take and unsuspected coin and letter it x
Weigh x,a against b,c
if balance
coin d is the phony
else
proceed to weigh 3.1

Weigh 2.2
For convenience letter the 8 remaining coins: abcd efgh
Weigh abe against cdf
if balance
proceed to weigh 3.2
else
proceed to weigh 3.3

Weigh 3.1
Weigh b against c
if balanced
a is the phony coin
else
if x,a was heavy in weigh 2.1
the light oins is the phony
else
the heavy coin is the phony

Weigh 3.2
Weigh coin g against h
if G2 (from weigh 1) was light
the light coin is phony
else
the heavy coin is the phony

Weigh 3.3
if G1 (from weigh 1) was heavy
if abe is heavy
weigh a against b
else
weigh c against d
the heavy coin is the phony
else
weigh e against f
the light coin is the phony


does this work?
[ Reply ]
  Do you have the link to the original? (n/t) by da-gimp2004-12-30 12:29:03
    nevermind -- found it (n/t) by da-gimp2004-12-30 12:30:09
  Almost. by williamashbless2004-12-30 12:30:33
    for clarity :) by gibuu2004-12-30 13:50:35
      aargh remove the very last "If" by gibuu2004-12-30 13:52:58
  Question about finding the solution. by Tars_Tarkas2004-12-30 12:38:24
    Hmm... Strange... by imperito2004-12-30 12:51:14
      Its a good Prolog problem. by williamashbless2004-12-30 12:55:44
      Ah yes, Prolog... by Tars_Tarkas2004-12-30 13:17:47
    Interestingly enough... (extension) by williamashbless2004-12-30 12:55:01
      I did figure out the part with the sets... by Tars_Tarkas2004-12-30 13:12:30
        Thoughts. by williamashbless2004-12-30 13:28:36
          I think I would by gibuu2004-12-30 15:27:55
            I like trees :) by Tars_Tarkas2006-11-19 12:55:59
              Annotation: by Tars_Tarkas2004-12-30 16:07:37
              thoughts on a tree by gibuu2004-12-30 17:01:55
                Trees, Trees everywhere by Tars_Tarkas2006-11-19 12:55:59

 

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