Okay let's try again, first divide the 12 balls into 3 groups.....let's name them AAAA, BBBB & CCCC
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9 q5 O$ {3 Q6 g; ^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$ H! f/ F6 }% b
' d; F# \# i' \5 W" g" ]( T/ XFrom 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:
+ ]7 s1 h3 K2 C; Q& C9 F$ z5.39.217.77:8898(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.
3 t' x3 J( C" Z3 m6 D(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)公仔箱論壇* c. l ]5 T/ u1 Z3 |# y$ D0 `3 o
(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. |