Okay let's try again, first divide the 12 balls into 3 groups.....let's name them AAAA, BBBB & CCCC
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First weight....AAAA ^ BBBB, if balance, then problem in C balls, see my post above. If not balance, continue below.5.39.217.77:8898- j& G& l3 N( q" [9 Q
$ ?" s' a2 p- l# L5 @: d% O( DFrom the first weight, let's say AAAA is heavier then BBBB, then either the problem ball is heavier among AAAA, or lighter among BBBB, but all C balls are normal.
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2nd weight....AAAB ^ ACCC, there will be 3 scenarios:
5 b* C- p# ]* w" _1 A( V- ztvb now,tvbnow,bttvb(1) if AAAB is heavier then ACCC, for sure the problem ball is a heavier ball and it's among AAA. Take 2 of these and weight against each other, the heavier ball is the problem, if balance then it's the remaining ball.2 T; h+ e! [! I$ u x
(2) if ACCC is heavier then AAAB then weight the A ball in ACCC against a normal C ball, if balance then the problem ball is the B ball in AAAB and it's a lighter ball. If heavier then this is the problem ball. (note it cannot be lighter)
* S ]( R* R5 Y. i* M9 E* B(3) if balance then the problem ball is one of the 3 B balls not touched in the 2nd weight and it's a lighter ball. Take 2 of these B balls and weight against each other. If balance then the other B ball is the problem. If not balance then the lighter ball is the problem. |