Given the below maze configuration, the task of the robot is to navigate in the maze and find the optimal path to reach the finish position. It can move to the north, south, west and east direction. While navigating through the environment it has obstacles like walls. For each transition, a path cost of +3 is added in search. Assume that the robots vision sensors are sensitive to the exposure to the sunlight and whenever it tries to move towards the east direction resulting in incurring an additional penalty of +5 cost. Use Euclidean distance as a heuristic wherever necessary.

Use the following algorithms to find the optimal path.

a. A* Algorithm

b. Hill Climbing Algorithm

Finish