Please design a suitable state representation, a set of operations, and draw the complete 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 them has measuring markers on it. There is a tap that can be used to fill up a jug and a sink that can be used to empty a jug. You are 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 both jugs are empty and the desired result is having exactly 2 gallons of water in the 4-gallon jug and empty in the 3-gallon jug