Okay let's try again, first divide the 12 balls into 3 groups.....let's name them AAAA, BBBB & CCCC" [; c" k6 C& u" c- r/ ?
( G- P* ^; Q/ Atvb now,tvbnow,bttvbFirst weight....AAAA ^ BBBB, if balance, then problem in C balls, see my post above. If not balance, continue below.5.39.217.77:8898# n5 ~, i1 g) _- `1 b
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From 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.tvb now,tvbnow,bttvb& g) [1 A3 O$ g0 e8 `$ \
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2nd weight....AAAB ^ ACCC, there will be 3 scenarios:
# K$ r. v* N; Z1 T(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.
~' A! U/ A: ~0 D; P$ r: h公仔箱論壇(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)
1 R% h$ h& U6 t- g1 K% s% _(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. |