E$1\mathrm{.}1$ On the right$-$turning Bug $0$ algorithm

$($ii$)(5$ points$)$ Draw an environment for which the right$-$turning Bug $0$ algorithm never

reaches the goal location, even though a path from start to goal does exist. Include

both start and goal locations along with arrows indicating the path of the robot. Label

several notable points along the path with the letters $(A,B,C,$dots$).$

$($iii$)(5$ points$)$ Sketch a graph of the distance between the robot and the goal location along

the path you drew for part $($ii$).$ Use the labels from part $($ii$)$ to clarify the distance to

the goal at the several notable points along the path.

$($iv$)(5$ points$)$ Draw an environment which contains a path from start to goal, but for which

both the left and right turning Bug $0$ algorithms fail to find it$.$ Include two sketches,

showing the path of the left$-$turning algorithm and the path of the right$-$turning

algorithm.