Problem 3: Consider the ICT bot in this 3*3 grid. Y X 1 2 3 1 S     2       3 *   E S is the location where the robot starts. E is the end location where the robot must find * and carry to E. The robot can perform two actions: move and retrieve_star. It can move in 4 directions 1 adjacent cell at a time, from (x,y) to (x+1,y), (x-1,y),(x,y+1), and (x,y-1) as long as it remains on the 3*3 grid. Upon each grid, the robot will receive the signal from its sensor if * is in the current grid or not. If * is in the current grid, it can retrieve * using the retrieve_star command. 1) Design a classical representation for the current planning problem.

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.