Sudoku (数独, sūdoku?), also known as Number
Place or Nanpure, is a logic-based placement puzzle. The objective is
to fill the 9x9 grid so that each column, each row, and each of the
nine 3x3 boxes contains the digits 1 to 9. The puzzle setter provides
a partially completed grid so that there is only one solution.
Completed Sudoku puzzles are a type of
Latin square, with an additional constraint on the contents of individual
regions. Leonhard Euler is sometimes cited as the source of the puzzle,
based on his work with Latin squares.
The modern puzzle was invented by an American,
Howard Garns, in 1979 and published by Dell Magazines under the name
"Number Place". It became popular in Japan in 1986, when it
was published by Nikoli and given the name Sudoku. It became an international
hit in 2005.
Introduction
The name "Sudoku" is the Japanese abbreviation of a longer
phrase, 数字は独身に限る (, 数字は独身に限る?), meaning "the digits must occur
only once". It is a trademark of puzzle publisher Nikoli Co. Ltd.
in Japan.[9] In Japanese, the word is pronounced [sɯːdokɯ]; in English,
it is usually spoken with an Anglicised pronunciation, [səˈdəʊkuː] (BrE)
[səˈdoʊkuː] (AmE) or [ˈsuːdəʊku] (BrE) [ˈsuːdoʊku] (AmE) (See IPA (International
Phonetic Alphabet) or IPA chart for English for notation usage.) Other
Japanese publishers refer to the puzzle as Number Place, the original
U.S. title, or as "Nanpure" for short. Some non-Japanese publishers
spell the title as "Su Doku".
The numerals in Sudoku puzzles are used
for convenience; arithmetic relationships between numerals are irrelevant.
Any set of distinct symbols will do; letters, shapes, or colours may
be used without altering the rules. In fact, ESPN published Sudoku puzzles
substituting the positions on a baseball field for the numbers 1–9.
Dell Magazines, the puzzle's originator, has been using numerals for
Number Place in its magazines since they first published it in 1979.
The attraction of the puzzle is that the
rules are simple, yet the line of reasoning required to solve the puzzle
may be complex. The level of difficulty can be selected to suit the
audience. The puzzles are often available free from published sources
and may be custom-made using software.
1. Getting started
There's no right or wrong place to start
– but we do have to start somewhere, so let's look at the three boxes
at the top of the puzzle.
There's a 1 in the middle box, and a 1 in the box on the right – but
the box on the left still needs a 1. At first glance you might think
the 1 could go into any of the four empty cells. However, the 1 cannot
go in the top row of the box, because the top row of the grid already
has a 1. A grid-row has room for only one of each number. Nor can the
1 go in the second row of the box because the second row of the grid
already has a 1. There's only one place left for the 1 to go. Roll your
mouse to see.
Look for similar patterns elsewhere. You'll
see something similar with the 2s in the stack of boxes down the middle.
The top box doesn't have its 2 yet. There is a 2 in each of the center
and bottom boxes, so we can rule out five of the seven empty cells in
the top box. This is not quite the same situation as before, because
there are two places the 2 could go. Some people just guess where the
2 should go, but it is better to use logic. It's best to have a reason
why a particular number must go in a particular place.
It's time to look in the other direction
– at the rows of the grid, not just the columns. The third grid-row
from the top already has its 2, so we can rule out one extra cell from
the top box. Now there's only one place left for the 2 to go.
Sometimes you can build on success. Let's
see if that 2 leads us to success in the top-right box. After considering
the rows, we can rule out only four of the seven empty cells. Even after
considering the columns, we can rule out only five cells, still leaving
two places for the 2 to go. Never mind, we learned something about where
the 2 can go in the top-right box.
In fact, you might like to lightly pencil
a small ‘2’ into each of the possible cells. In the Sudoku program these
small numbers are called pencilmarks and they can be added and removed
very easily.
Pencilmarks are useful reminders, but be
sparing with them. Using too many can cloud the issues you are trying
to clarify.
Solution methods
The strategy for solving a puzzle may be regarded as comprising a combination
of three processes: scanning, marking up, and analyzing.
The top right region must contain a 5. By hatching across and up from
5s elsewhere, the solver can eliminate all the empty cells in the region
which cannot contain a 5. This leaves only one possibility (shaded green).
Scanning
Scanning is performed at the outset and throughout the solution. Scans
need to be performed only once in between analyses. Scanning consists
of two techniques:
Cross-hatching: the scanning of rows to
identify which line in a region may contain a certain numeral by a process
of elimination. The process is repeated with the columns. For fastest
results, the numerals are scanned in order of their frequency, from
high to low. It is important to perform this process systematically,
checking all of the digits 1–9.
Counting 1–9 in regions, rows, and columns to identify missing numerals.
Counting based upon the last numeral discovered may speed up the search.
It also can be the case, particularly in tougher puzzles, that the best
way to ascertain the value of a cell is to count in reverse—that is,
by scanning the cell's region, row, and column for values it cannot
be, in order to see what remains.
Advanced solvers look for "contingencies" while scanning,
narrowing a numeral's location within a row, column, or region to two
or three cells. When those cells lie within the same row and region,
they can be used for elimination during cross-hatching and counting.
Puzzles solved by scanning alone without requiring the detection of
contingencies are classified as "easy"; more difficult puzzles
cannot be solved by basic scanning alone.
A method for marking likely numerals in a single cell by the placing
of pencil dots. To reduce the number of dots used in each cell, the
marking would only be done after as many numbers as possible have been
added to the puzzle by scanning. Dots are erased as their corresponding
numerals are eliminated as candidates.
Marking up
Scanning stops when no further numerals can be discovered, making it
necessary to engage in logical analysis. One method to guide the analysis
is to mark candidate numerals in the blank cells. There are two popular
notations: subscripts and dots.
In the subscript notation the candidate
numerals are written in subscript in the cells. Because puzzles printed
in a newspaper are too small to accommodate more than a few subscript
digits of normal handwriting, solvers may create a larger copy of the
puzzle.
The second notation uses a pattern of dots in each square, where the
dot position indicates a number from 1 to 9. The dot notation can be
used on the original puzzle. Dexterity is required in placing the dots,
since misplaced dots or inadvertent marks inevitably lead to confusion
and may not be easily erased.
An alternative technique is to "mark up" the numerals that
a cell cannot be. A cell will start empty and as more constraints become
known, it will slowly fill until only one mark is missing. Assuming
no mistakes are made and the marks can be overwritten with the value
of a cell, there is no longer a need for any erasures.
Analysis
The two main approaches to analysis are "candidate elimination"[11]
and "what-if".[12] In "candidate elimination", progress
is made by successively eliminating candidate numerals from cells to
leave one choice. After each answer has been achieved, another scan
may be performed—usually checking to see the effect of the contingencies.
In general, if entering a particular numeral prevents completion of
the other necessary placements, then the numeral in question can be
eliminated as a candidate. One method works by identifying "matched
cell groups". For instance, if precisely two cells within a scope
(a particular row, column, or region) contain the same two candidate
numerals (p,q), or if precisely three cells within a scope contain the
same three candidate numerals (p,q,r), these cells are said to be matched.
The placement of those candidate numerals anywhere else within that
same scope would make a solution impossible; therefore, those candidate
numerals can be deleted from all other cells in the scope.
In the "what-if" approach (also
called "guess-and-check", "bifurcation", "backtracking"
and "Ariadne's thread"), a cell with two candidate numerals
is selected, and a guess is made. The steps are repeated unless a duplication
is found or a cell is left without a possible candidate, in which case
the alternative candidate must be the solution. For each cell's candidate,
the question is posed: 'will entering a particular numeral prevent completion
of the other placements of that numeral?' If the answer is 'yes', then
that candidate can be eliminated. The what-if approach requires a pencil
and eraser or a good layout memory.
There are three kind of conflicts, which
can appear during puzzle solving:
basic conflicts - there are only N-1 different
candidates in N cell in the area
fish conflicts - when eliminating number from N rows/columns, it will
disappear also from N+1 columns/rows.
unique conflicts - this pattern means multiple solutions, all numbers
in the pattern exist exactly two times in every area, row and column.
If there are only one candidate in the cell, any virtual candidate can
be added.
Encountering any of those would indicate that the puzzle is not uniquely
solvable. So, if you encounter them as a consequence of "what-if",
you use your eraser and go back to try untried alternatives.
Computer solutions
There are two general approaches taken in the creation of serious Sudoku-solving
programs: human solving methods and rapid-style methods. Human-style
solvers will typically operate by maintaining a mark-up matrix, and
search for contingencies, matched cells, and other elements that a human
solver can utilize in order to determine and exclude cell values.
Many rapid-style solvers employ backtracking
searches, with various pruning techniques also being used in order to
help reduce the size of the search tree.
Rapid solvers are preferred for trial-and-error
puzzle-creation algorithms, which allow for testing large numbers of
partial problems for validity in a short time; human-style solvers can
be employed by hand-crafting puzzlesmiths for their ability to rate
the challenge of a created puzzle and show the actual solving process
their target audience can be expected to follow.
Although vanilla Sudoku puzzles (with 9×9
grid and 3×3 regions) can be solved quickly by computer, the generalization
to larger grids is known to be NP-Complete. Various optimisation methods
have been proposed for large grids.
Details of computer solutions may be found
on the page on the Algorithmics of Sudoku.
Difficulty ratings
The difficulty of a puzzle is based on the relevance and the positioning
of the given numbers rather than their quantity. Surprisingly, the number
of givens does not always reflect a puzzle's difficulty. Computer solvers
can estimate the difficulty for a human to find the solution, based
on the complexity of the solving techniques required. Some online versions
offer several difficulty levels.
Most publications sort their Sudoku puzzles
into four or five rating levels, although the actual cut-off points
and the names of the levels themselves can vary widely. Typically, however,
the titles are synonyms of "easy", "intermediate",
"hard", and "challenging". An easy puzzle can be
solved using only scanning; an intermediate puzzle may take markup to
solve; a hard or challenging puzzle will usually take analysis.
Another approach is to rely on the experience
of a group of human test solvers. Puzzles can be published with a median
solving time rather than an algorithmically defined difficulty level.
Construction
Building a Sudoku puzzle can be performed by pre-determining the locations
of the givens and assigning them values only as needed to make deductive
progress. This technique gives the constructor greater control over
the flow of puzzle solving, leading the solver along the same path the
compiler used in building the puzzle. Great caution is required, however,
as failing to recognize where a number can be logically deduced at any
point in construction—regardless of how tortuous that logic may be—can
result in an unsolvable puzzle when defining a future given contradicts
what has already been built. Building a Sudoku with symmetrical givens
is a simple matter of placing the undefined givens in a symmetrical
pattern to begin with.
Nikoli Sudoku are hand-constructed, with
the author being credited; the givens are always found in a symmetrical
pattern.[13] Dell Number Place Challenger (see Variants below) puzzles
also list authors. The Sudoku puzzles printed in most UK newspapers
are apparently computer-generated but employ symmetrical givens; The
Guardian famously claimed that because they were hand-constructed, their
puzzles would contain "imperceptible witticisms" that would
be very unlikely in computer-generated Sudoku.
Variants
A nonomino Sudoku puzzle, sometimes also known as a Jigsaw Sudoku, for
instance in the Sunday TelegraphEven though the 9×9 grid with 3×3 regions
is by far the most common, variations abound: sample puzzles can be
4×4 grids with 2×2 regions; 5×5 grids with pentomino regions have been
published under the name Logi-5; the World Puzzle Championship has previously
featured a 6×6 grid with 2×3 regions and a 7×7 grid with six heptomino
regions and a disjoint region. Larger grids are also possible, with
Daily SuDoku's 16×16-grid Monster SuDoku [14], the Times likewise offers
a 12×12-grid Dodeka sudoku with 12 regions each being 4×3, Dell regularly
publishing 16×16 Number Place Challenger puzzles (the 16×16 variant
often uses 1 through G rather than the 0 through F used in hexadecimal),
and Nikoli proffering 25×25 Sudoku the Giant behemoths. Even larger
sizes, for instance 100×100,[15] have been claimed.
Another common variant is for additional
restrictions to be enforced on the placement of numbers beyond the usual
row, column, and region requirements. Often the restriction takes the
form of an extra "dimension"; the most common is for the numbers
in the main diagonals of the grid to also be required to be unique.
The aforementioned Number Place Challenger puzzles are all of this variant,
as are the Sudoku X puzzles in the Daily Mail, which use 6×6 grids.
Puzzles constructed from multiple Sudoku
grids are common. Five 9×9 grids which overlap at the corner regions
in the shape of a quincunx is known in Japan as Gattai 5 (five merged)
Sudoku. In The Times, The Age and The Sydney Morning Herald this form
of puzzle is known as Samurai SuDoku.[16] Puzzles with twenty or more
overlapping grids are not uncommon in some Japanese publications. Often,
no givens are to be found in overlapping regions. Sequential grids,
as opposed to overlapping, are also published, with values in specific
locations in grids needing to be transferred to others.
Alphabetical variations have also emerged;
there is no functional difference in the puzzle unless the letters spell
something. Some variants, such as in the TV Guide, include a word reading
along a main diagonal, row, or column once solved; determining the word
in advance can be viewed as a solving aid. The Code Doku[17] devised
by Steve Schaefer has an entire sentence embedded into the puzzle; the
Super Wordoku[18] from Top Notch embeds two 9-letter words, one on each
diagonal. It is debatable whether these are true Sudoku puzzles: although
they purportedly have a single linguistically valid solution, they cannot
necessarily be solved entirely by logic, requiring the solver to determine
the embedded words. Top Notch claims this as a feature designed to defeat
solving programs.
Here are some of the more notable single-instance
variations:
A three-dimensional Sudoku puzzle was invented
by Dion Church and published in the Daily Telegraph in May 2005.
A book of 3 dimensional puzzles was released by Richard John on the
3rd of November 2006. The book "Sudoku-Stak[1]. The Complete Introduction
Book 1" is believed to be the first book of 3D puzzles.
The 2005 U.S. Puzzle Championship includes a variant called Digital
Number Place: rather than givens, most cells contain a partial given—a
segment of a number, with the numbers drawn as if part of a seven-segment
display.
The online journal Speculative Grammarian has published a trio of linguistics-themed
Sudoku-like puzzles called LingDoku, which require the solver to solve
for two or more variables at once, including a simple 3×3 puzzle,[19],
a slightly more complicated 4x4 puzzle,[20] and a Samurai-style puzzle
with 3 overlapping 3×3 grids.[21]
An example of a Hexudoku.A Hexudoku (also spelled Hexadoku) is a variant
of the game Sudoku, which uses a grid of 16x16 squares instead of 9x9.
The name originates from the contraction of the greek-, and latin prefixes
hexa-deca, which means 16, and the word sudoku.
Similar to Sudoku, the goal of the game
is to complete a not-completely filled grid, such that each row, each
column, and each of the 16 marked 4x4 squares contains each number between
1 and 16 exactly once. With 256 squares, the hexudoku has more than
3 times as many squares as the regular sudoku.
Instead of the numbers 1 to 16, sometimes
the hexadecimal digits 0-9, a-f are used, or a variant starting at 1:
1-9, a-g. Also a letter-only variant is sometimes used.
Mathematics of Sudoku
Main article: Mathematics of Sudoku
A completed Sudoku grid is a special type of Latin square with the additional
property of no repeated values in any 3×3 block. The number of classic
9×9 Sudoku solution grids was shown in 2005 by Bertram Felgenhauer and
Frazer Jarvis to be 6,670,903,752,021,072,936,960 [22] (sequence A107739
in OEIS) : this is roughly 0.00012% the number of 9×9 Latin squares.
Various other grid sizes have also been enumerated—see the main article
for details. The number of essentially different solutions, when symmetries
such as rotation, reflection and relabelling are taken into account,
was shown by Ed Russell and Frazer Jarvis to be just 5,472,730,538 [23]
(sequence A109741 in OEIS). Both results have been confirmed by independent
authors.[citation needed]
The maximum number of givens provided while
still not rendering the solution unique is four short of a full grid;
if two instances of two numbers each are missing and the cells they
are to occupy form the corners of an orthogonal rectangle, and exactly
two of these cells are within one region, there are two ways the numbers
can be assigned. Since this applies to Latin squares in general, most
variants of Sudoku have the same maximum. The inverse problem—the fewest
givens that render a solution unique—is unsolved, although the lowest
number yet found for the standard variation without a symmetry constraint
is 17, a number of which have been found by Japanese puzzle enthusiasts,[24]
[25] and 18 with the givens in rotationally symmetric cells.
History
Page from La France newspaper, July 6, 1895Main article: History of
Sudoku
Number puzzles first appeared in newspapers in the late 19th century,
when French puzzle setters began experimenting with removing numbers
from magic squares. Le Siècle, a Paris-based daily, published a partially
completed 9×9 magic square with 3×3 sub-squares in 1892.[26] It was
not a Sudoku because it contained double-digit numbers and required
arithmetic rather than logic to solve, but it shared key characteristics:
each row, column and sub-square added up to the same number.
Within three years Le Siècle's rival, La
France, refined the puzzle so that it was almost a modern Sudoku. It
simplified the 9×9 magic square puzzle so that each row and column contained
only the numbers 1–9, but did not mark the sub-squares. Although they
are unmarked, each 3×3 sub-square does indeed comprise the numbers 1–9.
However, the puzzle cannot be considered the first Sudoku because, under
modern rules, it has two solutions. The puzzle setter ensured a unique
solution by requiring 1–9 to appear in both diagonals.
These weekly puzzles were a feature of
newspaper titles including L'Echo de Paris for about a decade but disappeared
about the time of the First World War.[27]
According to Will Shortz, the modern Sudoku
was most likely designed anonymously by Howard Garns, a 74-year-old
retired architect and freelance puzzle constructor, and first published
in 1979 by Dell Magazines as Number Place (the earliest known examples
of modern Sudoku), because Garns' name was always present on the list
of contributors in issues of Dell Pencil Puzzles and Word Games that
included Number Place, and was always absent from issues that did not.[10]
Sadly, he died in 1989 before getting a chance to see his creation as
a worldwide phenomenon.[10]
The puzzle was introduced in Japan by Nikoli
in the paper Monthly Nikolist in April 1984[10] as Suuji wa dokushin
ni kagiru (数字は独身に限る, Suuji wa dokushin ni kagiru?), which can be translated
as "the numbers must be single" or "the numbers must
occur only once." At a later date, the name was abbreviated to
Sudoku by Maki Kaji (鍜治 真起, Kaji Maki?), taking only the first kanji
of compound words to form a shorter version.[10] In 1986, Nikoli introduced
two innovations: the number of givens was restricted to no more than
32[citation needed], and puzzles became "symmetrical" (meaning
the givens were distributed in rotationally symmetric cells).[9] It
is now published in mainstream Japanese periodicals, such as the Asahi
Shimbun.
Popularity in the media
This article or section deals primarily with United Kingdom and does
not represent a worldwide view of the subject.
Please improve this article or discuss the issue on the talk page.
In 1997, retired Hong Kong judge Wayne
Gould, 59, a New Zealander, saw a partly completed puzzle in a Japanese
bookshop. Over six years he developed a computer program to produce
puzzles quickly.[28] Knowing that British newspapers have a long history
of publishing crosswords and other puzzles, he promoted Sudoku to The
Times in Britain, which launched it on 12 November 2004 (calling it
Su Doku).
It was rapidly introduced by The Daily
Telegraph, the Daily Mail and The Independent. By April and May 2005
the puzzle became a national phenomenon and was introduced to several
other national British newspapers including The Guardian, The Sun (where
it was labelled Sun Doku), and The Daily Mirror.[citation needed]
The rapid rise of Sudoku in Britain from
relative obscurity to a front-page feature in national newspapers attracted
commentary in the media and parody (such as when The Guardian's G2 section
advertised itself as the first newspaper supplement with a Sudoku grid
on every page [29]). Recognizing the different psychological appeals
of easy and difficult puzzles, The Times introduced both side by side
on 20 June 2005. From July 2005, Channel 4 included a daily Sudoku game
in their Teletext service. On 2 August, the BBC's programme guide Radio
Times featured a weekly Super Sudoku.
The world's first live TV Sudoku show, 1 July 2005, Sky One.The world's
first live TV Sudoku show, Sudoku Live, was broadcast on 1 July 2005
on Sky One. It was presented by Carol Vorderman. Nine teams of nine
players (with one celebrity in each team) representing geographical
regions competed to solve a puzzle. Each player had a hand-held device
for entering numbers corresponding to answers for four cells. The audience
at home was in a separate interactive competition.
Later in 2005, the BBC launched SUDO-Q,
a game show that combines Sudoku with general knowledge. However, it
uses only 4x4 and 6x6 puzzles.
Early in 2006, Sudoku was brought to a
younger generation for the DS, a handheld game console developed and
manufactured by Nintendo. Sudoku made a humble feature in Brain Age:
Train Your Brain in Minutes a Day!, an educational game developed by
Japanese neuroscientist Ryūta Kawashima. With the popularity of sudoku
rising, a game called Sudoku Gridmaster was released focusing solely
on the logic-based numerical puzzle. At approximately the same time,
Sudoku Mania was released. However, compared to the success of the previous
two titles, Sudoku Mania received generally negative reviews from gaming
critics and gamers.
Sudoku is now also a very popular part
of the games available for mobile phones. Gameloft, Guardian Unlimited,
World Sudoku League and Playcom are some of the distributors.
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Printable Sudoku Puzzles, Free Sudoku SoftwareSudoku
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Sudoku Puzzle SolverShareware puzzle solver.
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boldts.net - Sudoku - Nonomino PuzzlesSince
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Sudoku: Surfing the Net with KidsFree Sudoku
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Sudoku Electronic Handheld Games and Books
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Prize SudokuOffers competitions for prizes.
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Sudoku - Wikipedia, la enciclopedia libre-
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Flickr SudokuCool Mashup of Sudoku and
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Précis de sudoku- [ Translate this page
]Le sudoku est devenu un jeu de logique très populaire. Ce Précis de
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World Sudoku LeagueWorld Sudoku League
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Free Sudoku Game - Join over 50000 other
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SUDOKU Online- [ Translate this page ]Daily
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Sudoku gratuits : vos grilles de sudoku
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Sudoku in ExcelAlso, if you're a fan of
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Sudoku - Wikipédia- [ Translate this page
]Le nom sudoku (数独) est né de l'abréviation de la règle du jeu japonaise
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fr.wikipedia.org/wiki/Sudoku - 98k - 19 Dec 2006
Sudoku Puzzles For BeginnersSudoku Puzzles
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DracosoftDracosoft's Sudoku is a challenging
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DracosoftDracosoft’s Christmas Sudoku is
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SUDOKU PuzzlesCrossword Express for Mac
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www.crauswords.com/applets/sudoku.html - 7k
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Daily SudokuOnline database of Sudoku puzzles,
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Play online Sudoku puzzles with 3 difficulty
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Sudoku Toilet Roll Only £4.95! Gift | Gadget
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Free SUDOKU puzzleEvery 15 minutes new
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Free Sudoku gamePlay Sudoku, the popular
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Sudoku made easierA method to help the
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Konfabulator - Gallery - Sudoku PillIt's
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Math Trek: Sudoku Math, Science News Online,
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www.sciencenews.org/articles/20050618/mathtrek.asp - 50k
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Sudoku Player :: Free Sudoku-Suduko PuzzlesAn
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Sudoku for Mac : Sudoku CompanionSudoku
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www.verek.com/sudoku-mac.html - 12k
Sudoku NewsSudoku News continually updated
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www.topix.net/games/sudoku - 45k - 19 Dec 2006
PepsiMan » Blog Archive » SudokuCayenne
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Sensible SudokuSensible Sudoku is a fun
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Web Sudoku - Billions of Free Sudoku Puzzles
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Kanji-Sudoku - learning Japanese while
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www.easton.me.uk/tcl/sudoku/ - 8k
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Youth Against Sudoku - 81 squares is enough
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ja toimittaa ne takaisin Japaniin.
www.youthagainstsudoku.com/ - 6k
Youth Against Sudoku - 81 squares is enough
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Nintendo.com Games : Sudoku GridmasterSudoku
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38k
Open Directory - Games: Puzzles: Brain
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Tucows Downloads - Sudoku 0.2 Freeware
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Web Sudoku: review, discussion, hints,
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jayisgames.com/archives/2005/06/web_sudoku.php - 64k
PHP Classes - Class: Draw SudokuRender
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www.phpclasses.org/browse/package/3552.html - 35k
Sudoku Solver | Puzzle iTThe goal of a
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appears more than once in any row, column or 3x3 subgrid.
www.puzzle.ro/en/sudoku_solver.htm - 27k - 19 Dec 2006
Greenpeace Sudokusudoku puzzle seadoku
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VSJ | Articles | Solving Sudoku with SQLA
Sudoku puzzle comes with numbers already present in some of the cells.
... For most puzzles marked as ‘easy’ in Sudoku puzzle books, the rules
discussed ...
www.vsj.co.uk/articles/display.asp?id=540 - 41k
Freeware Palm: Sudoku v1.22Best Sudoku
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www.freewarepalm.com/games/sudoku.shtml - 31k
Creating Passionate Users: If Tech Companies
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dosudoku.com: play sudoku onlinedosudoku.com:
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www.dosudoku.com/ - 4k
Su Doku Work Pad & Solution aid with
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www.xprogramming.com/xpmag/OkSudoku.htm - 26k
SourceForge.net: GNOME SudokuGNOME Sudoku
is a GNOME-based puzzle game. Sudoku is a popular Japanese logic game.
GNOME Sudoku intends to provide a simple interface for playing, saving,
...
sourceforge.net/projects/gnome-sudoku/ - 29k
Sudoku puzzle of the dayWe put a new Sudoku
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www.cs.uky.edu/~raphael/sud.html - 3k
Amazon.com: The Official Book of Sudoku:
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Books: Plume by Plume.
www.amazon.com/Official-Book-Sudoku-1/dp/0452287200 - 131k
Sudoku, Sudokus, Sodoko, Soduku, Suduku,
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www.sudokumeister.com/ - 9k
Sudoku Puzzles - Electronic GamesHandheld
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A Sudoku Solver in CRating Sudoku puzzles
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www.techfinesse.com/game/sudoku_solver.php - 24k
Sudoku - free daily on Stuff.co.nzMags
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Seed: Microscopy and the Art of SudokuOne
day, while wrapping his brain around a Sudoku grid, Elser realized that
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puzzles, ...
www.seedmagazine.com/news/2006/03/microscopy_and_the_art_of_sudo.php
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Free Sudoku Script for your Website - JavaScript
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wants to give this opportunity to their visitors through a sudoku javascript.
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Airwaves Sudoku LeagueTurnaj pro žáky ZŠ
a SŠ. Informace o kvalifikaci a registraci, přehled cen, průběžný a
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www.sudoku-league.com/index.php?main=faq - 7k
Sudoku-GrokSudoku-Grok is the name of the
web-application before your eyes. Sudoku-Grok is intended ... With the
help of Sudoku-Grok you can, at any stage of a game: ...
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Sudoku Assistant/SolverJavaScript-based
gameboard and solver. Can use cross-hatch scanning and subset elimination.
www.stolaf.edu/people/hansonr/sudoku/ - 16k
Sudoku Assistenten - ProgramFree software
to create, solve and learn about sudoku.
www.sudoku.frihost.net/ - 17k
[PDF] Enumerating possible Sudoku gridsFile
Format: PDF/Adobe Acrobat - View as HTML
In this note, we discuss the problem of enumerating all possible Sudoku
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www.afjarvis.staff.shef.ac.uk/sudoku/sudoku.pdf - Similar pages
Ridiculopathy.com: Crappy Flash Game: sudokuPlay
with letters or numbers in the grid. Includes high scores, hints and
move verification. [Requires Flash]
www.ridiculopathy.com/crappy_flash_games.php?gamename=sudoku - 23k
Sudoku PuzzleSudoku Ace computer program
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Buy Plug & Play Games, Sudoku Electronic
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- 61k
Daily Interactive Sudoku, Reader's Digest
CanadaHome · Win · Free games, Crosswords, Word Power, Sudoku! Holiday
Recipes, Decoration, Holiday Stories, Carols and More! Welcome to the
new Reader's Digest ...
www.readersdigest.ca/sudoku/ - 24k
sudokuSudoku. Includes an overview of how
Sudoku is solved, a monthly contest and a downloadable ... Check for
products which rely on Sudoku Puzzles by Pappocom . ...
www.hfreesudoku.info/sudoku.html - 19k
Daily Killer Sudoku, Samurai, Hanjie (griddlers)
and moreTo the best of my knowledge, this is the first and only Sudoku
book that contains only Killer Samurai Sudoku puzzles. The book is available
as an e-book ...
www.djape.net/sudoku/wp/ - 28k
Pocket SudokuPocket Sudoku ver 0.70 worked
properly on my W-Zero3 PDA. It is excellent. ... NET Compact Framework
2.0 in order to run Pocket Sudoku. Download .NET CF 2.0 ...
pocketsudoku.sourceforge.net/ - 15k
Web 2.0 - Sudoku Resolver#
www.shnir.com/sudoku/ - 11k
Sudoku Puzzle - Easy - New York TimesNow
every day on NYTimes.com you can solve a new sudoku puzzle that matches
your ... In Sudoku, Nine Little Numbers Add up to a Big Challenge (May
1, 2006) ...
www.nytimes.com/ref/crosswords/sudoku/easy.html - Similar pages
The Sudoku Web-Ring CommunityThe purpose
of this Web-Ring Community is to bring together all the best sites and
resources about the logical puzzle game: Sudoku.
www.ringsworld.com/sudoku/ - Similar pages
.. Solution-Sudoku.com ..free online Sudoku
puzzle solver, free sudoku solver software for pocket pc and smartphone.
www.solution-sudoku.com/ - 23k
Free SudokuFree sudoku puzzles from Your
Index, come and play our flash sudoku game.
www.2yi.net/free-sudoku.html - 9k
AOL Games: Buku SudokuPlay your favorite
online games, free from AOL Games. Offering free games of every style
- arcade, cards, word, puzzles, sports and more.
games.aol.com/game/buku-sudoku/32169/detail - 24k - 19 Dec 2006
Rorohiko Ltd.The generated Sudoku are stored
in two InDesign tables - one with the ... Before you can use the 'Sudoku
Generator' you also have to install our free ...
www.rorohiko.com/sudoku.html - 2k
Sudoku Of The Day8 Lover's Themed Sudoku
to download, print and solve - solve them with someone ... Come back
every day, and see if you can solve our Sudoku Of The Day! ...
www.sudokuoftheday.com/pages/s-o-t-d.php - 17k
Daily Sudoku puzzle – play a new game of
Sudoku every day on ...Suduko - the Japanese numbers game. Play a new
game every day on vnunet.com.
www.computeractive.co.uk/spotlight/sudukoindex - 40k
ADDoku by Lovatts, Killer Sudoku. Addoku
is the latest interactive ...Killer Sudoku or Addoku is the latest interactive
puzzle from Lovatts - a combination of Sudoku and Kakuro that’s twice
the fun.
www.lovatts.com.au/addoku/killer-sudoku.htm - 45k
SudokuSudoku generator and solver. ...
All Sudoku puzzles have been made using the program described below,
and are fetched from a MySQL database. ...
www.lemo.dk/sudoku/ - 6k
Sudoku Puzzles on SquidooThe modern form
of Sudoku was invented in the late 1970's by an American puzzle maker
by the name of Howard Garnes. His puzzle, termed 'Number Place', ...
www.squidoo.com/sudoku-puzzles/ - 54k
Free Sudoku Puzzles to Play Online,Jigsaw
Sudoku, Jigsaw puzzle ...Free Sudoku Puzzles to Play Online,Jigsaw Sudoku,Killer
Sudoku.
sudoku.oubk.com/ - 25k
SudokuIn sudoku there are only a few basic
rules. You have to fill in the 9x9 grid so ... If you like sudoku, you'll
love Flip Words, great puzzle solving fun. ...
www.freeworldgroup.com/games2/gameindex/sudoko.htm - 19k
SudokuSudoku is a logic puzzle. It is typically
presented as a square grid with 9 ... In the directory below, you will
find many free sudoku you can print and use ...
www.abcteach.com/directory/fun_activities/puzzle_fun/sudoku/ - 21k
Science News for Kids: GameZone: SudokuA
sudoku puzzle usually consists of a nine-by-nine grid. Some of the spaces
contain ... You'll find more Sudoku puzzles at http://www.websudoku.com/.
...
www.sciencenewsforkids.org/pages/gamezone/sudoku.asp
