Figure 1 shows a 55 tiled area. Each tile has one letter from a set of three different letters painted on it. The agent starts in position (0,0) (the bottom left corner) and must find two tiles that display the same letter. In Figure 1,{(0,0),(1,1)} would be a valid solution. a) Identify the kind of agent that would be needed to solve this problem. Explain your answer briefly. (3) b) Define a mathematical representation for the problem. It should sufficiently store all the information required to solve the problem. c) Show the initial state using the representation given in b above? (4) d) Determine an appropriate cost function for solving this problem. Justify your answer. (3)