Okay let's try again, first divide the 12 balls into 3 groups.....let's name them AAAA, BBBB & CCCC
# m+ T+ v) ?8 i$ b
% a" C L" @4 R4 ytvb now,tvbnow,bttvbFirst weight....AAAA ^ BBBB, if balance, then problem in C balls, see my post above. If not balance, continue below.tvb now,tvbnow,bttvb& k& a3 K! y# o6 h) ]# K5 k* B. L
5.39.217.77:8898+ B) D( B: A: \. P7 p: x
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.
* n2 ~0 i& {" b7 c7 r
" T0 F+ H6 z: [% U+ |tvb now,tvbnow,bttvb2nd weight....AAAB ^ ACCC, there will be 3 scenarios:0 B4 Q6 F B) L. d! z# C: C
(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.tvb now,tvbnow,bttvb: U! I' q% U( H0 t& g
(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)
/ D2 G6 z4 e2 r. e# w/ Atvb now,tvbnow,bttvb(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. |