You have two glasses, G$1$ and G$2.$ The capacity of G$1$ is $3$ units, and that of G$2$ is $4$ units. You also have a large bottle of milk that contains ten units of milk. You need the two$-$unit volume of milk for a recipe. Both glasses are initially empty. You can pour milk from the bottle into a glass, from one glass into the other, and from a glass into the bottle without spilling. Your problem is to fill at least one of the two glasses $($anyone or both$)$ with a volume of milk amounting to exactly $2$ units.

Construct this problem as a search problem by defining:

The state $($any $5$ states$)$

The initial state,

The goal test,

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