Consider a robot that resides in a circular world consisting of ten different places that are numbered counterclockwise. The robot is unable to sense the number of its present place directly. However, places 0, 3, and 6 contain a distinct landmark, whereas all other places do not. All three of these landmarks look alike. The likelihood that the robot observes the landmark given it is in one of these places is 0.8. For all other places, the likelihood of observing the landmark is 0.4. For each place on the circle compute the probability that the robot is in that place given that the following sequence of actions is carried out deterministically and the following sequence of observations is obtained: The robot detects a landmark, moves 3 grid cells counterclockwise and detects a landmark, and then moves 4 grid cells counterclockwise and finally perceives no landmark. Show your work for each intermediate steps i.e., probability of the robot state after each observations. Define any variables used and provide justification of assignments of values to variables.