Please find a state representation, a set of operations, and draw a search tree for the following problem You are given two water jugs, a 4-gallon jug that can hold up to 4 gallons of water and a 3-gallon jug that can hold up to 3 gallons of water. None of the jug has measuring markers on it There is a tap that can be used to fill up the jugs with water and a sink that can be used to empty jugs. You also allowed to fill up a jug from the other jug if the other jug has enough water. You can also empty a jug into the other jug, if the other jug has enough room The puzzle starts from the situation where the 4-gallon jug is empty and the 3-gallon jug is full. The desired result is making the 4-gallon jug empty and having exactly 2 gallons of water in the 3-gallon jug