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the sign said H p z u u l q l
Nothing - signs can't talk.
In Gil-Gandel's problem the answer is any integer up to 40g. If it balances with the 1g, it is one gram. If it balances on the same side as the 1g while opposite the 3g, it is 2g. 3 and 4 are obvious, 5 balances 9 on one side with the 1 and 3 on the other. This can be followed for any number up to 40. For example, if the weight is 32g, it will balance with 27g and 9g on the opposite side, and 3g and 1g on the same side
Yes, and you can extend this indefinitely with powers of 3 (as ajttja realized).
I repeat the correct answer: he can weigh 40 different weights. :-)
06-jwagg and ajttja gave the good explanations, though the wrong answers.
It means the sign maker is an alcoholic and the person who bought the sign will be searching for someone else to do it in the future.
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