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# Consider a 2-D grid with 5x5=25 rooms, as shown the agent knows the environment and dirt distribution this is a fully observable problem.

INSTRUCTIONS TO CANDIDATES

Consider a 2-D 25-room vacuum-cleaner world as follows:

• The world is a 2-D grid with 5x5=25 rooms, as shown The agent knows the environment and dirt distribution. This is a fully observable problem.
• The agent can choose to move left (Left), move right (Right), move up (UP), move down (DOWN), suck up the dirt (Suck), or do nothing (NoOp). Clean rooms stay clean. The agent can’t go outside the environment, i.e. the actions to bring the agent outside the environment are not
• Performance measure:
1. 4 point for each cleaned up room (changing the room from dirty to clean)
2. -1 point for Left
3. -1.1 point for Right
4. -1.2 point for UP
5. -1.3 point for DOWN
6. -0.2 point for Suck
7. 0 point for NoOp

Over a lifetime of 10 time steps. Higher performance points are better.

 (1,1) (1,2) (1,3) (1,4) (1,5) (2,1) (2,2) … (3,1) … (4,1) (5,1) (5,5)

In this programming assignment, you should implement the following 4 algorithms to solve the 2-D 25-room vacuum-cleaner world problem:

1. uniform cost tree search, up to search tree depth 10,
2. uniform cost graph search, up to search tree depth 10,
3. depth-limited depth-first tree search, with depth limit 10,
4. depth-limited depth-first graph search,with depth limit

Follow the Tree-Search and Graph-Search pseudocode in the lecture slides (copied below), but removing the Goal-Test. You need to search the whole tree and return the best solution found. Breaking ties of search nodes randomly.

function Tree-Search(problem, fringe) returns a solution, or failure fringe = Insert(Make-Node(Initial-State[problem]), fringe) loop do

if fringe is empty then return failure

node = Remove-Front(fringe)

if Goal-Test(problem,State(node)) then return node fringe = InsertAll(Expand(node, problem), fringe)

end

function Graph-Search(problem, fringe) returns a solution, or failure closed = an empty set

fringe = Insert(Make-Node(Initial-State[problem]), fringe) loop do

if fringe is empty then return failure node = Remove-Front(fringe)

if Goal-Test(problem,State[node]) then return node if State[node] is not in closed then

fringe = InsertAll(Expand(node, problem), fringe)

end

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