setoku

Notes on possible new logic puzzles

setoku

just a spontaneous idea, I don't know whether it makes
reasonable puzzles

http://en.wikipedia.org/wiki/Set_(game)

81.

make a sudoku-like puzzle from it

put the missing cards into a sudoku-array such that each minirow,minicolumn,
maxirow,maxicolumn form a SET
dukuso

Posts: 479
Joined: 25 June 2005

Re: setoku

ahh, wikipedia even mentions it:
but it looks just like normal sudoku, only with cards
except of pencils.

-------------------
Set-Do-Ku: the 81 cards of the Set deck can be grouped by any 2 properties (e.g. color and shading), giving 9 groups of 9 cards. Cards are then placed within a 9 x 9 grid to match a standard Sudoku puzzle by mapping a specific Sudoku digit to a specific card group (e.g. Sudoku digit 1 maps to any open-red card, Sudoku digit 2 maps to any striped-red card, Sudoku digit 3 maps to any solid-red card, etc.). After this initial setup the puzzle is solved using the remaining cards.
dukuso

Posts: 479
Joined: 25 June 2005

Re: setoku

a setokugrid is a bijective map s=(s_1,s_2,s_3,s_4):I3^4-->I3^4 such that
s_i(-,b,c,d)=s_i(a,-,c,d)=s_i(a,b,-,d)=s_(a,b,c,-)=I3
for all a,b,c,d in I3 , i in I4 ^.

write the 4 digits s(a,b,c,d) in a cell of a 9*9-grid at position (a*3-3+b,c*3-3+d)

or arrange the SET-cards in a 9*9-array, such that the 3 positions in
the 6 sets 123,456,789,147,258,369 in each row and each column contain
all the 3 expressions of all the 4 properties.

there are 75168 setokugrids from 29 symmetry-classes

make a puzzle by removing cards ...

but presumably these don't give so nice puzzles for handsolvers
since you have to check lots of the remaining cards
at each move

this is again an exact cover problem, so the exact-cover-computer-solvers

maybe I can create some puzzles later

1st of the 75168 solution grids:

Code: Select all
` 2 +--------+--------+--------+|11 22 33|22 33 11|33 11 22||11 22 33|23 31 12|32 13 21||        |        |        ||22 33 11|33 11 22|11 22 33||32 13 21|11 22 33|23 31 12||        |        |        ||33 11 22|11 22 33|22 33 11||23 31 12|32 13 21|11 22 33|+--------+--------+--------+|23 31 12|31 12 23|12 23 31||22 33 11|31 12 23|13 21 32||        |        |        ||31 12 23|12 23 31|23 31 12||13 21 32|22 33 11|31 12 23||        |        |        ||12 23 31|23 31 12|31 12 23||31 12 23|13 21 32|22 33 11|+--------+--------+--------+|32 13 21|13 21 32|21 32 13||33 11 22|12 23 31|21 32 13||        |        |        ||13 21 32|21 32 13|32 13 21||21 32 13|33 11 22|12 23 31||        |        |        ||21 32 13|32 13 21|13 21 32||12 23 31|21 32 13|33 11 22|+--------+--------+--------+`

I think the exact cover matrix has 6561 rows and 1458 columns, much
bigger than normal sudoku with 729 rows and 324 columns.

each placement of one of the 81 "cards" into one of the 81 positions is a row.
one 1 goes into 81 cells so each cell gets exactly one symbol
one 1 goes into 81 symbols=cards so each card is use exactly once
one 1 goes into one of 3 columns for each of 27 minirows for each of 4 3ary digits ("properties")
minicolumns
distance3subrow
ditance3subcolumn
dukuso

Posts: 479
Joined: 25 June 2005

Re: setoku

I have created 2 puzzles using exactly the same concept here, plus some simple extra rules.

In this puzzle, each symbol has 4 attributes:
• square structure: 1-sq/2-sq/3x3-sq
• X structure: no-X/small-X/large-X
• outline colour: black/blue/red

Combining the 2 shape structures defines one sudoku grid, while combining the 2 colours defines another.

The extra rule is: neighbours have different attributes.

This is the solution: Show

The solution contains 81 different symbols, exactly the 81 pieces for the set game.

On each row, column, nonet (i.e. 3x3 blocks), spot (e.g. R147C147), diagonal etc, each particular attribute (e.g. green shading) appears exactly 3 times.

I love this solution image so much, I use it as my avatar.

simon_blow_snow

Posts: 85
Joined: 26 December 2010

Re: setoku

This is another puzzle:

Similar to the previous one, but this time we have 2 extra rules:
• Neighbours share an attribute in shape.
• Neighbours have different colour attributes.

This is the solution: Show

With this solution grid, there is this nice property: each of the 6 pairing of attributes defines a Sudoku grid (e.g. you can combine outline colour with X-structure to define a valid Sudoku grid. So 6 different Sudoku grids appear here.

Wthin each row, column, nonet, block, diagonal etc, if you pick out 3 cells with a particular attribute, say black outline, all 3 other attributes (square, X, shading) are different in those 3 cells.

I guess this makes the perfect setoku/setdoku grid.

simon_blow_snow

Posts: 85
Joined: 26 December 2010

Re: setoku

This variant has the potential of giving many enjoyable puzzles for solvers & programmers. Simon, Thanks for the visuals ... Are these copyrighted ?

As dukuso mentioned the basics of how to start.

Apart from the visuals that Simon provided for the symbols, we can use the ((1,2,3),(1,2,3),(1,2,3),(1,2,3)) array for each symbol. to make it more portable we can use a ((1,2,3),(4,5,6),(7,8,9),(A,B,C)) array & therfore represnt a symbol with 4 different characters (e.g. 147A) to allow a single line of 4*81 characyers to display the puzzle in linear format. This will allow better database storage.

Here is the reresentation of dukuso's earlier solution grid (The line is obviously is too long)
Code: Select all
`147A258B369C258C369A147B369B147C258A259B367C148A367A148B259C148C259A367B368C149A257B149B257C368A257A368B149C268B349C157A349A157B268C157C268A349B347C158A269B158B269C347A269A347B158C159A267B348C267C348A159B348B159C267A359C167A248B167B248C359A248A359B167C168A249B357C249C357A168B357B168C249A247B358C169A358A169B247C169C247A358B147A 258B 369C  258C 369A 147B  369B 147C 258A259B 367C 148A  367A 148B 259C  148C 259A 367B368C 149A 257B  149B 257C 368A  257A 368B 149C268B 349C 157A  349A 157B 268C  157C 268A 349B347C 158A 269B  158B 269C 347A  269A 347B 158C159A 267B 348C  267C 348A 159B  348B 159C 267A359C 167A 248B  167B 248C 359A  248A 359B 167C168A 249B 357C  249C 357A 168B  357B 168C 249A247B 358C 169A  358A 169B 247C  169C 247A 358B`

Most databases would allow a maximum of 255 characters for a field entry, you may want to divide the line into 2 parts & then assign the key to both fields.

As Simon did. You can you either treat it as a vanilla sudoku or add some constraints: (Disjoint groups, X, Fairy chess)

if you want to stick with numbers, there is a potential killer in the making.

Solving Techniques (that I can think of):
Naked triples
Hidden subsets
Swordfish

Definitely a nice project.

Anyone wants to have a go at the Most Canonical grid (MC grid) of Setoku ?

tarek

tarek

Posts: 3748
Joined: 05 January 2006

Re: setoku

tarek wrote:Simon, Thanks for the visuals ... Are these copyrighted ?

I did spend considerable time and thoughts developing the whole system and making the images, so it would be nice if anyone who want to use the idea would cite the source.

simon_blow_snow

Posts: 85
Joined: 26 December 2010

Re: setoku

simon_blow_snow wrote:
tarek wrote:Simon, Thanks for the visuals ... Are these copyrighted ?

I did spend considerable time and thoughts developing the whole system and making the images, so it would be nice if anyone who want to use the idea would cite the source.
~That shouldn't be a problem from my side.

For future reference would you want to correlate the symbol attributes to the [(1,2,3),(4,5,6),(7,8.9),(A,B,C)] format. If the process is automated, could you post your graphic equivalent of dukuso's solution grid ?
Code: Select all
`147A 258B 369C  258C 369A 147B  369B 147C 258A259B 367C 148A  367A 148B 259C  148C 259A 367B368C 149A 257B  149B 257C 368A  257A 368B 149C268B 349C 157A  349A 157B 268C  157C 268A 349B347C 158A 269B  158B 269C 347A  269A 347B 158C159A 267B 348C  267C 348A 159B  348B 159C 267A359C 167A 248B  167B 248C 359A  248A 359B 167C168A 249B 357C  249C 357A 168B  357B 168C 249A247B 358C 169A  358A 169B 247C  169C 247A 358B`
If It isn't automated then don't worry about it.

The solution grid would need 4*81 characters.
The empty cell could have 0 or .
A puzzle with no more than 58 clues can be threfore representd with no more than 255 characters.

tarek

Thanks,

tarek

tarek

Posts: 3748
Joined: 05 January 2006

Re: setoku

tarek

The images are all hand-made using spreadsheet. I am afraid I don't have time to make one from a particular puzzle unless it's very very special.

If you want to get your hands on it yourself then feel free to do it.

As for the text format, I suggest you use a digit from {123456789} to represent 2 attributes, and then a letter from {ABCDEFGHK} to represent another 2. This way the size is much smaller.

Or, one can pick out 19 symbols to combine with the 10 digits and 52 letters so each of the 81 values can be represented by a single character. A possible list is:
Code: Select all
``~!@#\$%^&*-_+\|/?;:`

It might look confusing but I like doing things concisely.

simon_blow_snow

Posts: 85
Joined: 26 December 2010

Re: setoku

The following is 82 character set which I'm going to use for Storage & text representation. The "." character will represent an empty cell. They are all sorted Alphanumerically as per Microsoft Access.
Code: Select all
`.[]{}~Â¢Â£Â¥Â¬Âµ123456789AÃÃ€Ã‚Ã„ÃƒÃ…Ã†BCÃ‡DÃEÃ‰ÃˆÃŠÃ‹FÆ’GHIÃÃŒÃŽÃJKLMNÃ‘OÃ“Ã’Ã”Ã–Ã•Ã˜Å’PQRSÅ ÃŸTÃžUÃšÃ™Ã›ÃœVWXYÃÅ¸ZÅ½`

For the text to image conversion, I will use the following:
simon_blow_snow wrote:In this puzzle, each symbol has 4 attributes:
• square structure: 1-sq/2-sq/3x3-sq
• X structure: no-X/small-X/large-X
• outline colour: black/blue/red

Code: Select all
`Attribute 1: Square, 1-sq =1 , 2-sq=2 , 3x3 sq =3Attribute 2: X, no-X =1 , small-X=2 , large-X =3Attribute 3: outline , black =1 , blue=2 , red =3Attribute 4: shade , white =1 , yellow=2 , green =3`

And here is the conversion table
Code: Select all
`Attr           Graphic Symbol                S   12 13 14 23 24 34------------------------------------------------------------------0     None    None     None       None       .   .  .  .  .  .  .1111  1 Sq    No X     Black Out  White In   1   1  1  1  1  1  11112  1 Sq    No X     Black Out  Yellow In  2   1  1  2  1  2  21113  1 Sq    No X     Black Out  Green In   3   1  1  3  1  3  31121  1 Sq    No X     Blue Out   White In   4   1  2  1  2  1  41122  1 Sq    No X     Blue Out   Yellow In  5   1  2  2  2  2  51123  1 Sq    No X     Blue Out   Green In   6   1  2  3  2  3  61131  1 Sq    No X     Red Out    White In   7   1  3  1  3  1  71132  1 Sq    No X     Red Out    Yellow In  8   1  3  2  3  2  81133  1 Sq    No X     Red Out    Green In   9   1  3  3  3  3  91211  1 Sq    Small X  Black Out  White In   A   2  1  1  4  4  11212  1 Sq    Small X  Black Out  Yellow In  B   2  1  2  4  5  21213  1 Sq    Small X  Black Out  Green In   C   2  1  3  4  6  31221  1 Sq    Small X  Blue Out   White In   D   2  2  1  5  4  41222  1 Sq    Small X  Blue Out   Yellow In  E   2  2  2  5  5  51223  1 Sq    Small X  Blue Out   Green In   F   2  2  3  5  6  61231  1 Sq    Small X  Red Out    White In   G   2  3  1  6  4  71232  1 Sq    Small X  Red Out    Yellow In  H   2  3  2  6  5  81233  1 Sq    Small X  Red Out    Green In   I   2  3  3  6  6  91311  1 Sq    Big X    Black Out  White In   J   3  1  1  7  7  11312  1 Sq    Big X    Black Out  Yellow In  K   3  1  2  7  8  21313  1 Sq    Big X    Black Out  Green In   L   3  1  3  7  9  31321  1 Sq    Big X    Blue Out   White In   M   3  2  1  8  7  41322  1 Sq    Big X    Blue Out   Yellow In  N   3  2  2  8  8  51323  1 Sq    Big X    Blue Out   Green In   O   3  2  3  8  9  61331  1 Sq    Big X    Red Out    White In   P   3  3  1  9  7  71332  1 Sq    Big X    Red Out    Yellow In  Q   3  3  2  9  8  81333  1 Sq    Big X    Red Out    Green In   R   3  3  3  9  9  92111  2 Sq    No X     Black Out  White In   S   4  4  4  1  1  12112  2 Sq    No X     Black Out  Yellow In  T   4  4  5  1  2  22113  2 Sq    No X     Black Out  Green In   U   4  4  6  1  3  32121  2 Sq    No X     Blue Out   White In   V   4  5  4  2  1  42122  2 Sq    No X     Blue Out   Yellow In  W   4  5  5  2  2  52123  2 Sq    No X     Blue Out   Green In   X   4  5  6  2  3  62131  2 Sq    No X     Red Out    White In   Y   4  6  4  3  1  72132  2 Sq    No X     Red Out    Yellow In  Z   4  6  5  3  2  82133  2 Sq    No X     Red Out    Green In   [   4  6  6  3  3  92211  2 Sq    Small X  Black Out  White In   ]   5  4  4  4  4  12212  2 Sq    Small X  Black Out  Yellow In  {   5  4  5  4  5  22213  2 Sq    Small X  Black Out  Green In   }   5  4  6  4  6  32221  2 Sq    Small X  Blue Out   White In   ~   5  5  4  5  4  42222  2 Sq    Small X  Blue Out   Yellow In  Â¢   5  5  5  5  5  52223  2 Sq    Small X  Blue Out   Green In   Â£   5  5  6  5  6  62231  2 Sq    Small X  Red Out    White In   Â¥   5  6  4  6  4  72232  2 Sq    Small X  Red Out    Yellow In  Â¬   5  6  5  6  5  82233  2 Sq    Small X  Red Out    Green In   Âµ   5  6  6  6  6  92311  2 Sq    Big X    Black Out  White In   Ã€   6  4  4  7  7  12312  2 Sq    Big X    Black Out  Yellow In  Ã   6  4  5  7  8  22313  2 Sq    Big X    Black Out  Green In   Ã‚   6  4  6  7  9  32321  2 Sq    Big X    Blue Out   White In   Ãƒ   6  5  4  8  7  42322  2 Sq    Big X    Blue Out   Yellow In  Ã„   6  5  5  8  8  52323  2 Sq    Big X    Blue Out   Green In   Ã…   6  5  6  8  9  62331  2 Sq    Big X    Red Out    White In   Ã†   6  6  4  9  7  72332  2 Sq    Big X    Red Out    Yellow In  Ã‡   6  6  5  9  8  82333  2 Sq    Big X    Red Out    Green In   Ãˆ   6  6  6  9  9  93111  3x3 Sq  No X     Black Out  White In   Ã‰   7  7  7  1  1  13112  3x3 Sq  No X     Black Out  Yellow In  ÃŠ   7  7  8  1  2  23113  3x3 Sq  No X     Black Out  Green In   Ã‹   7  7  9  1  3  33121  3x3 Sq  No X     Blue Out   White In   ÃŒ   7  8  7  2  1  43122  3x3 Sq  No X     Blue Out   Yellow In  Ã   7  8  8  2  2  53123  3x3 Sq  No X     Blue Out   Green In   ÃŽ   7  8  9  2  3  63131  3x3 Sq  No X     Red Out    White In   Ã   7  9  7  3  1  73132  3x3 Sq  No X     Red Out    Yellow In  Ã   7  9  8  3  2  83133  3x3 Sq  No X     Red Out    Green In   Ã‘   7  9  9  3  3  93211  3x3 Sq  Small X  Black Out  White In   Ã’   8  7  7  4  4  13212  3x3 Sq  Small X  Black Out  Yellow In  Ã“   8  7  8  4  5  23213  3x3 Sq  Small X  Black Out  Green In   Ã”   8  7  9  4  6  33221  3x3 Sq  Small X  Blue Out   White In   Ã•   8  8  7  5  4  43222  3x3 Sq  Small X  Blue Out   Yellow In  Ã–   8  8  8  5  5  53223  3x3 Sq  Small X  Blue Out   Green In   Ã˜   8  8  9  5  6  63231  3x3 Sq  Small X  Red Out    White In   Ã™   8  9  7  6  4  73232  3x3 Sq  Small X  Red Out    Yellow In  Ãš   8  9  8  6  5  83233  3x3 Sq  Small X  Red Out    Green In   Ã›   8  9  9  6  6  93311  3x3 Sq  Big X    Black Out  White In   Ãœ   9  7  7  7  7  13312  3x3 Sq  Big X    Black Out  Yellow In  Ã   9  7  8  7  8  23313  3x3 Sq  Big X    Black Out  Green In   Ãž   9  7  9  7  9  33321  3x3 Sq  Big X    Blue Out   White In   ÃŸ   9  8  7  8  7  43322  3x3 Sq  Big X    Blue Out   Yellow In  Å’   9  8  8  8  8  53323  3x3 Sq  Big X    Blue Out   Green In   Å    9  8  9  8  9  63331  3x3 Sq  Big X    Red Out    White In   Å¸   9  9  7  9  7  73332  3x3 Sq  Big X    Red Out    Yellow In  Å½   9  9  8  9  8  83333  3x3 Sq  Big X    Red Out    Green In   Æ’   9  9  9  9  9  9`

I hope that this is helpful for everybody aiming to solve/generate/program these. Thanks to dukuso & to simon_blow_snow .

tarek

[EDIT: Revised Line character symbols to remove special MS-DOS chracters, also added Sudoku Grid repesentation to the conversion table]
Last edited by tarek on Wed Jan 19, 2011 9:54 pm, edited 2 times in total.

tarek

Posts: 3748
Joined: 05 January 2006

Re: setoku

tarek

Nice scheme. The only problem I have is the ability to input those accented chars easily using notepad etc.

I am currently working on another graphical scheme which makes the symbols more distinguishable.

Simon B. Snow

simon_blow_snow

Posts: 85
Joined: 26 December 2010

Re: setoku

I tried several schemes. The one that I mentioned ticks most boxes (Not all !).

Here is my 1st attempt at a setoku

Code: Select all
`Each MiniRow/MiniColumn forms a setEach Attribute appears 3 times in each Row/Column/Box.... .... ....  .... 3331 1112  3332 .... ........ .... 1121  .... .... ....  .... .... ....3323 .... 2212  1132 .... ....  2211 3322 ....2322 .... ....  3131 .... ....  1213 .... ....3113 .... ....  1222 2333 ....  .... .... 1223.... .... 3123  .... 3121 ....  .... .... 2311.... 1311 2122  .... .... 3231  2121 .... 1313.... .... ....  .... .... ....  3212 .... ........ .... 1331  3221 1332 ....  .... .... ....`

The puzzle is human solvable but slightly beyond the obvious (I think).
The solution is dukuso's solution grid that appeared earlier.

tarek
[Edit: Removed old line characters]
Last edited by tarek on Fri Jan 14, 2011 3:23 pm, edited 1 time in total.

tarek

Posts: 3748
Joined: 05 January 2006

Re: setoku

The Setdoku above can be solved without knowing the pairing that form a sudoku grid. It also can't be solved by directly deducing the symbol from the already known 2 other symbols of the set.

If you knew the pairing that form the sudoku then advancing the puzzle becomes easier, but as I said the puzzle is still humanly solvable without that knowledge.

Symbol related techniques beyond the obvious include the Attribute's naked triple, hidden triple, locked triple & swordfish).

The Symbol pencilmark grid shows all possible unknown attributes per cell (so up to 12). When you get all 4 attributes in a cell then you uncover the symbol in there. if you uncover 27 symbols sharing one attribute (all symbols that have that attribute) then that attribute can be safely eliminated from all other cells.

If a cell has only one possible symbol left using some or all the techniques mentiond. Then uncovering the symbol is similar to a (Naked single).

Here is another puzzle with the same solution. You don't need to know which pair of attributes form a sudoku subgrid (although you can deduce it). It is human solvable with Symbol based techniques.
Code: Select all
`Tarek's Setdoku Puzzle 02Each MiniRow/MiniColumn forms a setEach Attribute appears 3 times in each Row/Column/Box.... .... 3333  2223 3331 ....  .... .... ........ .... 1121  .... .... ....  1123 .... ........ 1131 ....  1132 .... ....  .... 3322 1133.... .... ....  3131 .... 2323  1213 .... 31323113 .... ....  .... .... ....  .... .... 12231231 .... 3123  2313 .... 1232  .... .... ....3233 1311 ....  .... .... 3231  .... 3232 ........ .... 3213  .... .... ....  3212 .... ........ .... ....  .... 1332 2113  1333 .... ....`

I will provide a walkthrough, but for that I need to use the 147A method to represent the symbol instead of the 1111 method above.

tarek
[EDIT: Removed old line characters]
Last edited by tarek on Fri Jan 14, 2011 3:24 pm, edited 1 time in total.

tarek

Posts: 3748
Joined: 05 January 2006

Re: setoku

These generated grids should be canonical:

Code: Select all
`Setdoku grid 0181 different symbols in 81 different squares6 different attribute combinations form a sudoku grid123123123123 format:1111 1222 1333  2123 2231 2312  3132 3213 3321  2132 2213 2321  3111 3222 3333  1123 1231 1312  3123 3231 3312  1132 1213 1321  2111 2222 2333  1233 1311 1122  2212 2323 2131  3221 3332 3113  2221 2332 2113  3233 3311 3122  1212 1323 1131  3212 3323 3131  1221 1332 1113  2233 2311 2122  1322 1133 1211  2331 2112 2223  3313 3121 3232  2313 2121 2232  3322 3133 3211  1331 1112 1223  3331 3112 3223  1313 1121 1232  2322 2133 2211 123456789ABC format:147A 158B 169C  248C 259A 267B  349B 357C 368A  249B 257C 268A  347A 358B 369C  148C 159A 167B  348C 359A 367B  149B 157C 168A  247A 258B 269C  159C 167A 148B  257B 268C 249A  358A 369B 347C  258A 269B 247C  359C 367A 348B  157B 168C 149A  357B 368C 349A  158A 169B 147C  259C 267A 248B  168B 149C 157A  269A 247B 258C  367C 348A 359B  267C 248A 259B  368B 349C 357A  169A 147B 158C  369A 347B 358C  167C 148A 159B  268B 249C 257ASudoku Grids (12,13,...,34):123456789456789123789123456231564897564897231897231564312645978645978312978312645123564978645789231897312456312456897564978123789231645231645789456897312978123564123645897564789312978231456312564789456978231897123645231456978645897123789312564159267348348159267267348159672483591591672483483591672834915726726834915915726834159348267267159348348267159672591483483672591591483672834726915915834726726915834159672834834159672672834159915267483483915267267483915591726348348591726726348591`

Code: Select all
`Setdoku grid 0281 different symbols in 81 different squaresAll different attributes in Mini Row/Column cellsAttributes 1-2 & 3-4 form 2 sudoku grids123456789ABC format:147A 258B 369C  157B 268C 349A  167C 248A 359B  269B 347C 158A  249C 357A 168B  259A 367B 148C  358C 169A 247B  368A 149B 257C  348B 159C 267A  157C 268A 349B  148B 259C 367A  248C 359A 167B  248B 359C 167A  269A 347B 158C  369B 147C 258A  369A 147B 258C  357C 168A 249B  157A 268B 349C  169C 247A 358B  259B 367C 148A  267B 348C 159A  257B 368C 149A  347A 158B 269C  358A 169B 247C  348A 159B 267C  168C 249A 357B  149C 257A 368B  123123123123 format:1111 2222 3333  1212 2323 3131  1313 2121 3232  2332 3113 1221  2133 3211 1322  2231 3312 1123  3223 1331 2112  3321 1132 2213  3122 1233 2311  1213 2321 3132  1122 2233 3311  2123 3231 1312  2122 3233 1311  2331 3112 1223  3332 1113 2221  3331 1112 2223  3213 1321 2132  1211 2322 3133  1333 2111 3222  2232 3313 1121  2312 3123 1231  2212 3323 1131  3111 1222 2333  3221 1332 2113  3121 1232 2313  1323 2131 3212  1133 2211 3322  Sudoku grids 12 & 34:159267348672483591834915726267159483483672915915834267348591672591726834726348159159267348834915726672483591348591672591726834726348159915834267267159483483672915`

These grids have extra features because they are canonical & can be utilised if declared in puzzles genertaed from them.

tarek
[EDIT: modified line puzzle characters & corrected Setdoku Grid 02]
Last edited by tarek on Sat Jan 22, 2011 10:36 am, edited 1 time in total.

tarek

Posts: 3748
Joined: 05 January 2006

Setdoku puzzles

Here are 2 puzzles. These are machine generated to show minimal symmetric puzzles. They haven't been tested for difficulty

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`Setdoku Puzzle 0181 symbols in 81 cellsALL DIFFERENT sets in Mini Column/Row & Maxi Column/RowAttributes 1,2 & 3,4 form 2 vanilla sudoku grids. (Sq,X & colour out,colour in).... 258B ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... 367B  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  157C .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... 269C ....  .... 2222 ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... 3312  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  1213 .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... 2333 ....  .5...............9.............................................2...............6..5...............2.............................................3...............9.`

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`Setdoku puzzle 0281 symbols in 81 cellsALL DIFFERENT sets in Mini Column/Row, NO Maxi Column/Row Set rulesAttributes 1,2 & 3,4 form 2 vanilla sudoku grids. (Sq,X & colour out,colour in).... .... 369C  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  358C .... ....  368A .... ....  .... .... ....  .... .... 349B  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  157A .... ....  .... .... ....  .... .... 148A  .... .... 159A  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  149C .... ....  .... .... 3333  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  3223 .... ....  3321 .... ....  .... .... ....  .... .... 3132  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  1211 .... ....  .... .... ....  .... .... 1121  .... .... 1231  .... .... ....  .... .... ....  .... .... ....  .... .... ....  .... .... ....  1133 .... ....  ..9...............8..9.......7.....................2.......1..2...............1....9...............6..4.......8.....................1.......4..7...............9..`

I'll try later to see if I can post an image using simon_blow_snow's symbols (probably for the 1st puzzle because it has only 4 clues )
tarek
[EDIT: image for Setdoku puzzle 1 added]
Last edited by tarek on Sat Jan 22, 2011 10:36 am, edited 1 time in total.

tarek

Posts: 3748
Joined: 05 January 2006

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