A farmer who stays at land A would like to bring his dog, guinea pig, and cabbages across a river to land B. unfortunately, his tiny boat is only allowing him to take only one of his possessions with him across the river on any trip. He is looking for advice from you and informs you that an unattended guinea pig will eat the cabbage and an unattended dog will bite the guinea pig. (a) Construct an abstract for the state space representation, initial state, operators, goal state, and the path cost for the above problem. (20 marks) (b) Based on the abstract built above, form the necessary operators with its precondition and post-condition states, which could apply to solve the farmer's problem. (30 marks)