Please help to reply the question in the screenshot and follow the given concept of formulation, provide me the states, actions and the transition model. Thanks!

Problem formulation - Components of a search problem: States: possible states the environment can be in The initial state Actions: ACTIONS(s) applicable actions in s Transition model (or Successor function, or Operators Give a complete problem formulation for each of the following. Choose a formulation that is precise enough to be implemented. 4. You have three jugs, measuring 12 gallons, 8 gallons, and 3 gallons, and a water faucet. You can fill the jugs up or empty them out from one to another or onto the ground. You need to measure out exactly one gallon

Question

Please help to reply the question in the screenshot and follow the given concept of formulation, provide me the states, actions and the transition model. Thanks!

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Problem formulation - Components of a search problem: States: possible states the environment can be in The initial state Actions: ACTIONS(s) applicable actions in s Transition model (or Successor function, or Operators Give a complete problem formulation for each of the following. Choose a formulation that is precise enough to be implemented. 4. You have three jugs, measuring 12 gallons, 8 gallons, and 3 gallons, and a water faucet. You can fill the jugs up or empty them out from one to another or onto the ground. You need to measure out exactly one gallon