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[3+2+4=9 Marks] Ia this single player game, the Pacman Agent aims to efficiently reach the Exit in the shortest way possible, after eating atleast one

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[3+2+4=9 Marks] Ia this single player game, the Pacman Agent aims to efficiently reach the "Exit" in the shortest way possible, after eating atleast one Red food pellet and one Green food pellet (though Pacman may eat more than one of each food pellets in its path). Pacman has four actions: moveNorth, moveSouth, moveWest, or moveEast and it does not have a "stay" action. Each action incurs a cost of +2 for the agent. In addition to this, if an agent eats a red pellet and green pellet it incurs a cost of +5 and +3 respectively. In below fixed board configuration of dimension NM, there are 3 red pellets and 6 green pellets

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