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Problem Solving: Sudoku

Problem Solving: Sudoku. Rules of the Game Sudoku is played with a 9 by 9 "board" consisting of nine 3 by 3 sub-boards. The symbols 1 - 9 (any 9 unique symbols could be used, e.g., A - I) are placed on the board with the following constraints. Each symbol may appear only once in each row.

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Problem Solving: Sudoku

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  1. Problem Solving: Sudoku • Rules of the Game Sudoku is played with a 9 by 9 "board" consisting of nine 3 by 3 sub-boards. The symbols 1 - 9 (any 9 unique symbols could be used, e.g., A - I) are placed on the board with the following constraints. • Each symbol may appear only once in each row. • Each symbol may appear only once in each column. • Each symbol may appear only once in each sub-board. In a typical game, you are given a partially filled board and are required to fill out the rest of the squares consistent with the rules.

  2. Problem Solving: Sudoku • Many sites on web. For example: • www.dkmsoftware.com/sudoku

  3. Problem Solving: Sudoku • What Could a Computer Program Do? • Basic validity checking. Make sure the rules are not broken. • Book-keeping that helps a human play the game. • Suggest moves that are forced • Suggest moves that are fairly obvious • Higher Level strategies. What are they? • Search when no strategies are known • try a series of moves • backtrack if they do not pan out • (this is often done using recursion)

  4. Sudoku Lab • What Could a Computer Program Do? • Write a program that checks a 9x9 array of Strings to see if all of the rules are being followed. • Could use sets or more basic techniques

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