Algorithm算法代写代考

Generate and Test  Theexhaustivegenerate‐and‐testalgorithmistogenerateall the complete assignments, then test them in turn, and return the first one that satisfies all of the constraints.  It needs to store all complete assignments, where is the domain size and is the number of variables.  Sowemustfindalternativemethods. Solving CSPs by standard search formulation  InCSPs,statesdefinedbythevaluesassignedsofar(partial assignments) 

1. Give your reason why in DFS every layer only has b nodes in the frontier, where b is the branching factor? 2. Drawthesearchtreeofthebelowstatespacegraph,whereSisthe start state and G is the goal state. 3. For the above example, give the solution found by the DFS algorithm as well as the order of the states that the

What is Search About and For  Search is about choice and decision making; it is for many different things, such as planning and assigning.  Planning: sequences of actions  We care about the path to the goal.  Paths have different depths.  Identification: assignments  We care about the goal itself, not

1. For the Sudoku problem in week 8’s exercise, use the local search with hill climbing to solve it (please give intermediate assignments and how many constraints they violate). Let us say there the rule of hill climbing that 1) always consider the variable which violates the most constraints and 2) swap that variable’s value

Depth‐First Search (DFS) https://en.wikipedia.org/wiki/Depth‐first_search Example: DFS S B A BCC A CG S B  Nodes in circle mean those in the search tree, including the expanded ones (shaded) or to be expanded (i.e. in the frontier). CGG G Breadth‐First Search (BFS) https://en.wikipedia.org/wiki/Breadth‐first_search Example: BFS S B A BCC A CG S B  Nodes

1. Forthesearchproblemwiththefollowingstatespacegraph,give the solution found by the A* search as well as the order of the states that the algorithm expands. Let us assume the tie is broken alphabetically. 2. FortheN‐Queensproblem,apartfromtherepresentationgivenin the lecture, please give another representation? 3. Considerthefollowingthe4x4Sudokuproblem,whereeach column, each row, and each of the four regions contain all of the digits from 1

Tree Search vs Local Search  TreeSearchmethods:systematicallysearchthespaceof assignments.  Start with an empty assignment.  Assign a value to an unassigned variable and deal with constraints on the way until a solution is found.  Butwhatifthespaceistoobigandeveninfinite,soinany reasonable time, systematic search may fail to consider enough of the space to give any meaningful results.  LocalSearchmethods:notsystematicallysearchthespacebut