The Big Book of Su Doku

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In this paper we present, to our knowledge, the first application of a metaheuristic technique to the very popular and NP-complete puzzle known as ‘sudoku’. We see that this stochastic search-based algorithm, which uses simulated annealing, is able to complete logic-solvable puzzle-instances that feature daily in many of the UK’s national newspapers. We also introduce a new method for producing sudoku problem instances (that are not necessarily logic-solvable) and use this together with the proposed SA algorithm to try and discover for what types of instances this algorithm is best suited. Consequently we notice the presence of an ‘easy-hard-easy’ style phase-transition similar to other problems encountered in operational research. Complete the grid such that each hexagon (around the circles), the set of triangles containing filled dots, and the set of triangles containing open dots contains the digits 1−6. Abramson, D., Krishnamoorthy, H., Dang, H.: Simulated annealing cooling schedules for the school timetabling problem. Asia-Pac. J. Oper. Res. 16, 1–22 (1996) Complete the grid such that each row, each column, each 3x3 box contains the letters 'ADEIKOSTU'. The solution contains a hidden word or phrase!

Although solving Su Doku puzzles is a fun pastime, what attracted me was the challenge of creating new puzzles. A good Su Doku puzzle for me is one which you can solve without guessing, in SuDoku (originally Number Place) is a logic game which is very popular in Japan and became a newspaper craze in the UK in 2004/2005. Complete the grid such that each row, each column, and each tile in each of the four puzzles contains the digits 1−8. Complete the grid such that each row, each column, each 3x3 box and each diagonal contains the digits 1−9.Leaflet of simple Jigsaw su doku puzzles (6 puzzles: 5x5) suitable for ages from 9 to 13. [ Answers] US editions of my puzzle books are available from Newmarket Press. Italian editions are available from Fandango Libri. Danish editions are available from Lindhardt og Ringhof. French editions are available from Marabout Hachette. Spanish editions are available from RBA Libros. Greek editions are available from Patakis. Complete the grid such that each row, each column, and each 3x3 box contains the digits 1−9, and that the linked boxes add up to the sum shown. Repeated digits are not allowed in the linked boxes.

Ross, P., Corne, D., Terashima-Marin, H.: The phase-transition niche for evolutionary algorithms in timetabling. In: Burke, E., Ross, P. (eds.) The Practice and Theory of Automated Timetabling (PATAT). Lecture Notes in Computer Science, vol. 1153, pp. 309–325. Springer, Berlin (1996) Complete the grid such that each row, each column, each 3x4 box contains the letters 'ACEHIKLMORUV'. The solution contains a hidden word or phrase! Lynce, I., Ouaknine, J.: Sudoku as a SAT problem. In: Proceedings of the 9th Symposium on Artificial Intelligence and Mathematics (2006)Colbourn, C.J., Colbourn, M.J., Stinson, D.R.: The computational complexity of recognising critical sets. In: Graph Theory. Lecture Notes in Mathematics, vol. 1073, pp. 248–253. Springer, New York (1984)

I now have software that can create puzzles of specific levels of difficulty (from elementary to diabolical). It can also analyse the puzzles invented by other people. Here are some screen shots. This software is available to publishers under a commercial licence, Complete the grid such that each row, each column, and each tile in each of the three puzzles contains the digits 1−9. to change the current cell. The program prevents you from entering obviously incorrect answers, and plays a beep. An initial configuration is given to you, and this cannot be changed. You need to use the logic of theComplete the grid such that each row, each column, and each 3x4 box in each of the two puzzles contains the numbers 1−12. 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)

Complete the grid such that each row, each column, and each tile in each of the five puzzles contains the digits 1−9.Complete the grid such that each row, each column, and each 3x3 box in each of the four puzzles contains the digits 1−9. Booklet of Mini Su Doku Puzzles (8 puzzles on 4x4 grids) suitable for primary school children aged 7-10. [ Answers] Locate the hidden fleet of 1 battleship, 2 cruisers, 3 destroyers and 4 submarines from clues about how many ship parts can be found in each row and each column. Complete the grid such that each row, each column, each 2x4 box contains the digits 1−8. The marked cells must contain only even digits, the unmarked cells, only odd digits.