CTUO Design and Analysis of Algorithms discussion

Key Assignment

Part 1 Tasks (Objectives from Week 1–4):Update your portfolios from Phase 4 using feedback from faculty.

Part 2 Tasks (Objective from Week 5):Append to this portfolio 1 last project that includes the design of an artificial intelligence agent. Specifically, your company has asked your team to design an app that will complete a Sudoku game, given any starting state of the game. See this Web site for the rules.

Part 2a: State SpaceDescribe how you plan to search for the Sudoku solution given a starting state.Clearly define your state space here: What does a vertex in your state traversal tree represent?

Part 2b: Traversal Time ComplexityAssuming you were to naively traverse your state space, what is the upperbound time complexity (in terms of Big-O) of a brute force searching algorithm?Present this result in terms of n and p where nxn is the size of the Sudoku board and p is the number of possible numbers (1–9) permitted in a square.

Part 2c: Heuristic SearchWhat type of heuristic search would you employ to search this state space in hopes to reduce the search time?Think about the problem and how you might search this state-space tree.

Part 2d: PseudocodeCreate pseudocode that finds the solution to a Sudoku game using a brute force search or using your heuristic discussed above.To simplify this task, assume that you have standard data structures available to you, such as stacks and queues.


Sudoku. (n.d.). Retrieved from http://www.sudoku.com

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