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Problem 1: Given the following puzzle you are requested to design an agent to go around in the puzzle. Your agent can move only two squares right and left, one square up and down. For example, if start point is S(2,2) and it moves towards right it can go to (4,2) as in the figure below. While the agent moves, it can jump over a black square but it cannot land over it. For example, no move can go over the point (3,3). In every 3 moves in the system one of the black squares randomly changes place. Assume that this agent first moves to up (1) then right( ), then down ( and then left 0 1 2 3 4 5 6 S (y-axis) A)Starting from point S, please draw a search space for this agent (you can use coordinates for that. Please apply loop detection. (15 pts) For the above agent and its environment, please answer the following questions. Please write one sentence problem specific explanation and do not forget to tell the answer (ex: because of .... It is episodic). One word answers (ex: static or dynamic) or the definitional answers which is not specific to the problem will not get any points. (16 points) 1-Is the environment Accessible or Inaccessible? 2-Is the environment Deterministic or Non-deterministic? 3-Is the environment Static or Dynamic? 4-Is the environment Discrete or Continuous? a) What is the type of this problem? Explain in one sentence. (Single word answers will not get any point) (4 pts) Problem 1: Given the following puzzle you are requested to design an agent to go around in the puzzle. Your agent can move only two squares right and left, one square up and down. For example, if start point is S(2,2) and it moves towards right it can go to (4,2) as in the figure below. While the agent moves, it can jump over a black square but it cannot land over it. For example, no move can go over the point (3,3). In every 3 moves in the system one of the black squares randomly changes place. Assume that this agent first moves to up (1) then right( ), then down ( and then left 0 1 2 3 4 5 6 S (y-axis) A)Starting from point S, please draw a search space for this agent (you can use coordinates for that. Please apply loop detection. (15 pts) For the above agent and its environment, please answer the following questions. Please write one sentence problem specific explanation and do not forget to tell the answer (ex: because of .... It is episodic). One word answers (ex: static or dynamic) or the definitional answers which is not specific to the problem will not get any points. (16 points) 1-Is the environment Accessible or Inaccessible? 2-Is the environment Deterministic or Non-deterministic? 3-Is the environment Static or Dynamic? 4-Is the environment Discrete or Continuous? a) What is the type of this problem? Explain in one sentence. (Single word answers will not get any point) (4 pts)