\section{Problem 2}
-\emph{Three bottles can hold 144, 72 and 16 units (say, centilite rs),
+\emph{Three bottles can hold 144, 72 and 16 units (say, centiliters),
respectively. Initially the first one contains 3 units of water, the
others are empty. The following actions may be performed any number of
times:
\toprule
State & Bottle 1 & Bottle 2 & Bottle 3 & Action\\
\midrule
- $0$ & $3$ & $0$ & $0$ & ~\\
+ $0$ & $3$ & $0$ & $0$ &\\
$1$ & $3$ & $72$ & $0$ & Filled $2$\\
$2$ & $3$ & $44$ & $28$ & Poured $2$ in $3$\\
$3$ & $0$ & $47$ & $28$ & Poured $1$ in $2$\\