Question 194
Let $n$ be a positive integer. Find the largest integer $N$ for which there exists a set of $n$ weights such that it is possible to determine the mass of all bodies with masses of $1$, $2$, $\ldots$, $N$ using a balance scale (i.e. to determine whether a body with unknown mass has a mass $1$, $2$, $\ldots$, $N$, and which namely).