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Su Doku is a kind of logic puzzle made popular in recent years in Japan and now exploding in popularity across the globe. Armstrong, S.: X-wing and Swordfish. Online resource. http://www.simes.clara.co.uk/programs/sudokutechnique6.htm (accessed July 2005) Complete the grid such that each row, each column, each 3x3 box contains the letters 'ADEIKOSTU'. The solution contains a hidden word or phrase!
Yato, T., Seta, T.: Complexity and completeness of finding another solution and its application to puzzles. IEICE Trans. Fundam. E 86-A(5), 1052–1060 (2003) Cheeseman, P., Kanefsky, B., Taylor, W.: Where the really hard problems are. In: Mylopoulos, J., Reiter, R. (eds.) Proceedings of IJCAI-91, pp. 331–337. Morgan Kaufmann, San Mateo (1991) Lynce, I., Ouaknine, J.: Sudoku as a SAT problem. In: Proceedings of the 9th Symposium on Artificial Intelligence and Mathematics (2006)
Complete the grid such that each row, each column, and each 3x3 box in each of the five puzzles contains the digits 1−9. Tip 2: Break the grid up visually into 3 columns and 3 rows. Each large column will have 3, 3×3 grids and each row will have 3, 3×3 grids. Now, look for columns or grids that have 2 of the same number. Logically, there must be a 3rd copy of the same number in the only remaining 9-cell section. Look at each of the remaining 9 positions and see if you can find the location of the missing number. Lastly, there are also a few intersections of sums which define a unique value for the common cell in which neither of the sums are formed from a unique set of digits. For example when 5 in two cells crosses 21 in three cells, the common digit must be 4. It is easy to see why by looking at the sets of possible digits that make up each sum, then by studying which two sets have a single digit in common. For example you can make 5 in two by using {1,4} or {2,3}, and you can make 21 in three by using {9,8,4} or {9,7,5}; but the only digit these sets have in common is 4. Here is a complete table of all the unique intersections that are possible in kakuro. Booklet of Midi Su Doku Puzzles (8 puzzles on 6x6 grids) suitable for secondary school children aged 11-13. [ Answers]
The logic behind su doku puzzles also lends itself to many variations. Here are some su doku puzzle variants I have designed. restrictions to decide what values the empty cells can take. The initial configuration is usually chosen so that
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Complete the grid such that each row, each column, and each tile contains the digits 1−6. (I have three more 6x6 jigsaw variants too: gp6t2-gp6t4):
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