2009/9/8 lukhman_khan <[email protected]>

>
> > Wrong. 9. If you're interested, I can send you the solution.
>
>
> Interesting, send it.
>

Divide into 3 groups, a, b, c. Suffix with 1, 2, 3.

First Weighing

a1, a2, a3 - assume pan goes up

b1, b2, b3 - assume pan goes down

Not addressing the scenario of the pans staying equal since then the
solution can be found out quite easily.

Second Weighing

a1, a2, b1 with c1, c2, c3 - pans are level equal

a3 is lighter or one of b2, b3 is heavier


a1, a2, b1 with c1, c2, c3 - pans not level (LHS pan goes down)

b1 is heavier


a1, a2, b1 with c - pans not level (LHS pan goes up)

one of a1, a2 is lighter


The next step is obvious to find both the defective one and whether it is
lighter or heavier than the others.

Kiran

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