Sudoku

Transcript

1. Sudoku 5 3 7 6 1 9 5 9 8 6 8 6 3 4 8 3 1 7 2 6 6 2 8 4 1 9 5 8 7 9 23-04-2006 @matyo91
2. Introduction Rules Solve methods Variants Media and Competitions Table of contents @matyo91 @matyo91 23-04-2006
3. Introduction @matyo91 23-04-2006
4. Su means 'number' Doku means 'single' The digits must remain single Sudoku @matyo91 @matyo91 23-04-2006
5. 1707 Leonhard Euler 1979 Howard Garns 1984 Nikoli 1989 Loadstar and Softdisk 2005 Publishing in France History @matyo91 @matyo91 23-04-2006
6. Rules @matyo91 23-04-2006
7. Ancestor : Latin square @matyo91 @matyo91 Latin square are N*N size 1 2 2 1 1 2 3 2 3 1 3 1 2 1 2 3 4 4 3 2 1 2 1 4 3 3 4 1 2 1 2 3 4 5 4 5 1 2 3 2 3 4 5 1 5 1 2 3 4 3 4 5 1 2 1 2 3 4 5 6 2 3 4 5 6 1 3 4 5 6 1 2 4 5 6 1 2 3 5 6 1 2 3 4 6 1 2 3 4 5 1 2 3 4 5 6 7 5 6 7 1 2 3 4 2 3 4 5 6 7 1 6 7 1 2 3 4 5 3 4 5 6 7 1 2 7 1 2 3 4 5 6 4 5 6 7 1 2 3 23-04-2006
8. Ancestor : Latin square @matyo91 @matyo91 Rule one : Every row must include all digits from 1 through n in any order 1 2 2 1 1 2 3 2 3 1 3 1 2 1 2 3 4 4 3 2 1 2 1 4 3 3 4 1 2 1 2 3 4 5 4 5 1 2 3 2 3 4 5 1 5 1 2 3 4 3 4 5 1 2 1 2 3 4 5 6 2 3 4 5 6 1 3 4 5 6 1 2 4 5 6 1 2 3 5 6 1 2 3 4 6 1 2 3 4 5 1 2 3 4 5 6 7 5 6 7 1 2 3 4 2 3 4 5 6 7 1 6 7 1 2 3 4 5 3 4 5 6 7 1 2 7 1 2 3 4 5 6 4 5 6 7 1 2 3 23-04-2006
9. Ancestor : Latin square @matyo91 @matyo91 Rule two : Every column must include all digits 
 from 1 through n in any order 1 2 2 1 1 2 3 2 3 1 3 1 2 1 2 3 4 4 3 2 1 2 1 4 3 3 4 1 2 1 2 3 4 5 4 5 1 2 3 2 3 4 5 1 5 1 2 3 4 3 4 5 1 2 1 2 3 4 5 6 2 3 4 5 6 1 3 4 5 6 1 2 4 5 6 1 2 3 5 6 1 2 3 4 6 1 2 3 4 5 1 2 3 4 5 6 7 5 6 7 1 2 3 4 2 3 4 5 6 7 1 6 7 1 2 3 4 5 3 4 5 6 7 1 2 7 1 2 3 4 5 6 4 5 6 7 1 2 3 23-04-2006
10. @matyo91 Sudoku The size of a grid is 9x9 square 7 4 1 6 9 8 3 2 5 5 3 8 2 4 1 6 7 9 9 2 6 3 7 5 4 1 8 4 1 3 8 2 6 9 5 7 2 6 7 5 3 9 8 4 1 8 5 9 4 1 7 2 3 6 1 9 2 7 8 3 5 6 4 3 7 5 9 6 4 1 8 2 6 8 4 1 5 2 7 9 3 23-04-2006
11. @matyo91 Sudoku Sudoku has the same two first rules as Latin square 7 4 1 6 9 8 3 2 5 5 3 8 2 4 1 6 7 9 9 2 6 3 7 5 4 1 8 4 1 3 8 2 6 9 5 7 2 6 7 5 3 9 8 4 1 8 5 9 4 1 7 2 3 6 1 9 2 7 8 3 5 6 4 3 7 5 9 6 4 1 8 2 6 8 4 1 5 2 7 9 3 23-04-2006
12. @matyo91 Sudoku Sudoku adds a third rule : Every 3 by 3 subsection of the 9 by 9 square must include all digits from1 through 9 7 4 1 6 9 8 3 2 5 5 3 8 2 4 1 6 7 9 9 2 6 3 7 5 4 1 8 4 1 3 8 2 6 9 5 7 2 6 7 5 3 9 8 4 1 8 5 9 4 1 7 2 3 6 1 9 2 7 8 3 5 6 4 3 7 5 9 6 4 1 8 2 6 8 4 1 5 2 7 9 3 23-04-2006
13. @matyo91 How many? All Latin Squares of size 3 1 2 3 2 3 1 3 1 2 1 2 3 3 1 2 2 3 1 1 3 2 2 1 3 3 2 1 1 3 2 3 2 1 2 1 3 2 1 3 1 3 2 3 2 1 2 1 3 3 2 1 1 3 2 2 3 1 1 2 3 3 1 2 2 3 1 3 1 2 1 2 3 3 2 1 1 3 2 2 1 3 3 2 1 2 1 3 1 3 2 3 1 2 1 2 3 2 3 1 3 1 2 2 3 1 1 2 3 23-04-2006
14. @matyo91 How many? Reduced Latin Squares of size 3 1 2 3 2 3 1 3 1 2 1 2 3 3 1 2 2 3 1 1 3 2 2 1 3 3 2 1 1 3 2 3 2 1 2 1 3 2 1 3 1 3 2 3 2 1 2 1 3 3 2 1 1 3 2 2 3 1 1 2 3 3 1 2 2 3 1 3 1 2 1 2 3 3 2 1 1 3 2 2 1 3 3 2 1 2 1 3 1 3 2 3 1 2 1 2 3 2 3 1 3 1 2 2 3 1 1 2 3 23-04-2006
15. @matyo91 How many? Reduced Latin Squares of size 3 n Reduced Latin squares of size n All Latin squares of size n 3 1 12 6 9408 812851200 9 377597570964259000 5524751496156890000000000000 SUDOKU 5 472 730 538 6 670 903 752 021 072 936 960 23-04-2006
16. Solve methods @matyo91 23-04-2006
17. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 9 6 1 1 2 3 4 5 6 7 8 9
18. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 9 6 1 1 2 3 4 5 6 7 8 9
19. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 9 6 1 1 2 3 4 5 6 7 8 9
20. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 9 6 1 1 2 3 4 5 6 7 8 9
21. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1 1 2 3 4 5 6 7 8 9
22. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1 1?
23. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1
24. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1
25. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1
26. @matyo91 Solve Only choice rule 23-04-2006 9 5 1 6 2 6 4 5 1 1 2 5 6 3 9 7 4 2 5 8 4 7 6 3 4 6 5 1 7 8 7 6 1 2 5 5 6 1 7 3 2 4 8 1 2 9 7 6 7 4 2 9 6 1
27. Variants @matyo91 23-04-2006
28. @matyo91 23-04-2006 3 4 2 6 1 1 9 8 2 5 6 2 1 9 8 8 3 4 6 4 1 9 5 7
29. @matyo91 23-04-2006 5 9 6 3 2 8 1 7 9 8 1 2 7 6 4 3 5 4 3 4 5 3 5 7 3 1 5 6 9 5 6 1 3 2 4 9 4 3 9 8 1 2 5 7 9 8 2 7 1 3 8 9 1 2 7 4
30. Media and Competitions @matyo91 23-04-2006
31. @matyo91 23-04-2006
32. Hello! I Am Mathieu Ledru You can contact me at @matyo91 @matyo91 Thanks! Any questions? 23-04-2006