setoku

Notes on possible new logic puzzles

setoku

Postby dukuso » Mon Jul 05, 2010 8:43 pm

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
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Re: setoku

Postby dukuso » Tue Jul 06, 2010 2:09 pm

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.
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Re: setoku

Postby dukuso » Tue Jul 06, 2010 5:27 pm

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
can be easily adapted

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
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Re: setoku

Postby simon_blow_snow » Sat Jan 01, 2011 5:58 am

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

Image

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
  • shading colour: white/yellow/green

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
Image


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. :lol:
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Re: setoku

Postby simon_blow_snow » Sat Jan 01, 2011 6:11 am

This is another puzzle:

Image

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
Image


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.
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Re: setoku

Postby tarek » Sat Jan 01, 2011 3:15 pm

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
147A258B369C258C369A147B369B147C258A259B367C148A367A148B259C148C259A367B368C149A257B149B257C368A257A368B149C268B349C157A349A157B268C157C268A349B347C158A269B158B269C347A269A347B158C159A267B348C267C348A159B348B159C267A359C167A248B167B248C359A248A359B167C168A249B357C249C357A168B357B168C249A247B358C169A358A169B247C169C247A358B

147A 258B 369C  258C 369A 147B  369B 147C 258A
259B 367C 148A  367A 148B 259C  148C 259A 367B
368C 149A 257B  149B 257C 368A  257A 368B 149C

268B 349C 157A  349A 157B 268C  157C 268A 349B
347C 158A 269B  158B 269C 347A  269A 347B 158C
159A 267B 348C  267C 348A 159B  348B 159C 267A

359C 167A 248B  167B 248C 359A  248A 359B 167C
168A 249B 357C  249C 357A 168B  357B 168C 249A
247B 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 :lol: ?

tarek
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Re: setoku

Postby simon_blow_snow » Sun Jan 02, 2011 5:04 am

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.
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Re: setoku

Postby tarek » Sun Jan 02, 2011 11:50 am

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 258A
259B 367C 148A  367A 148B 259C  148C 259A 367B
368C 149A 257B  149B 257C 368A  257A 368B 149C

268B 349C 157A  349A 157B 268C  157C 268A 349B
347C 158A 269B  158B 269C 347A  269A 347B 158C
159A 267B 348C  267C 348A 159B  348B 159C 267A

359C 167A 248B  167B 248C 359A  248A 359B 167C
168A 249B 357C  249C 357A 168B  357B 168C 249A
247B 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
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Re: setoku

Postby simon_blow_snow » Sun Jan 02, 2011 2:29 pm

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.
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Re: setoku

Postby tarek » Sun Jan 02, 2011 5:33 pm

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
.[]{}~¢£¥¬µ123456789AÁÀÂÄÃÅÆBCÇDÐEÉÈÊËFƒGHIÍÌÎÏJKLMNÑOÓÒÔÖÕØŒPQRSŠßTÞUÚÙÛÜVWXYÝŸZŽ


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
  • shading colour: white/yellow/green

Code: Select all
Attribute 1: Square, 1-sq =1 , 2-sq=2 , 3x3 sq =3
Attribute 2: X, no-X =1 , small-X=2 , large-X =3
Attribute 3: outline , black =1 , blue=2 , red =3
Attribute 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  1
1112  1 Sq    No X     Black Out  Yellow In  2   1  1  2  1  2  2
1113  1 Sq    No X     Black Out  Green In   3   1  1  3  1  3  3
1121  1 Sq    No X     Blue Out   White In   4   1  2  1  2  1  4
1122  1 Sq    No X     Blue Out   Yellow In  5   1  2  2  2  2  5
1123  1 Sq    No X     Blue Out   Green In   6   1  2  3  2  3  6
1131  1 Sq    No X     Red Out    White In   7   1  3  1  3  1  7
1132  1 Sq    No X     Red Out    Yellow In  8   1  3  2  3  2  8
1133  1 Sq    No X     Red Out    Green In   9   1  3  3  3  3  9
1211  1 Sq    Small X  Black Out  White In   A   2  1  1  4  4  1
1212  1 Sq    Small X  Black Out  Yellow In  B   2  1  2  4  5  2
1213  1 Sq    Small X  Black Out  Green In   C   2  1  3  4  6  3
1221  1 Sq    Small X  Blue Out   White In   D   2  2  1  5  4  4
1222  1 Sq    Small X  Blue Out   Yellow In  E   2  2  2  5  5  5
1223  1 Sq    Small X  Blue Out   Green In   F   2  2  3  5  6  6
1231  1 Sq    Small X  Red Out    White In   G   2  3  1  6  4  7
1232  1 Sq    Small X  Red Out    Yellow In  H   2  3  2  6  5  8
1233  1 Sq    Small X  Red Out    Green In   I   2  3  3  6  6  9
1311  1 Sq    Big X    Black Out  White In   J   3  1  1  7  7  1
1312  1 Sq    Big X    Black Out  Yellow In  K   3  1  2  7  8  2
1313  1 Sq    Big X    Black Out  Green In   L   3  1  3  7  9  3
1321  1 Sq    Big X    Blue Out   White In   M   3  2  1  8  7  4
1322  1 Sq    Big X    Blue Out   Yellow In  N   3  2  2  8  8  5
1323  1 Sq    Big X    Blue Out   Green In   O   3  2  3  8  9  6
1331  1 Sq    Big X    Red Out    White In   P   3  3  1  9  7  7
1332  1 Sq    Big X    Red Out    Yellow In  Q   3  3  2  9  8  8
1333  1 Sq    Big X    Red Out    Green In   R   3  3  3  9  9  9
2111  2 Sq    No X     Black Out  White In   S   4  4  4  1  1  1
2112  2 Sq    No X     Black Out  Yellow In  T   4  4  5  1  2  2
2113  2 Sq    No X     Black Out  Green In   U   4  4  6  1  3  3
2121  2 Sq    No X     Blue Out   White In   V   4  5  4  2  1  4
2122  2 Sq    No X     Blue Out   Yellow In  W   4  5  5  2  2  5
2123  2 Sq    No X     Blue Out   Green In   X   4  5  6  2  3  6
2131  2 Sq    No X     Red Out    White In   Y   4  6  4  3  1  7
2132  2 Sq    No X     Red Out    Yellow In  Z   4  6  5  3  2  8
2133  2 Sq    No X     Red Out    Green In   [   4  6  6  3  3  9
2211  2 Sq    Small X  Black Out  White In   ]   5  4  4  4  4  1
2212  2 Sq    Small X  Black Out  Yellow In  {   5  4  5  4  5  2
2213  2 Sq    Small X  Black Out  Green In   }   5  4  6  4  6  3
2221  2 Sq    Small X  Blue Out   White In   ~   5  5  4  5  4  4
2222  2 Sq    Small X  Blue Out   Yellow In  ¢   5  5  5  5  5  5
2223  2 Sq    Small X  Blue Out   Green In   Â£   5  5  6  5  6  6
2231  2 Sq    Small X  Red Out    White In   Â¥   5  6  4  6  4  7
2232  2 Sq    Small X  Red Out    Yellow In  ¬   5  6  5  6  5  8
2233  2 Sq    Small X  Red Out    Green In   Âµ   5  6  6  6  6  9
2311  2 Sq    Big X    Black Out  White In   Ã€   6  4  4  7  7  1
2312  2 Sq    Big X    Black Out  Yellow In  Á   6  4  5  7  8  2
2313  2 Sq    Big X    Black Out  Green In   Ã‚   6  4  6  7  9  3
2321  2 Sq    Big X    Blue Out   White In   Ãƒ   6  5  4  8  7  4
2322  2 Sq    Big X    Blue Out   Yellow In  Ä   6  5  5  8  8  5
2323  2 Sq    Big X    Blue Out   Green In   Ã…   6  5  6  8  9  6
2331  2 Sq    Big X    Red Out    White In   Ã†   6  6  4  9  7  7
2332  2 Sq    Big X    Red Out    Yellow In  Ç   6  6  5  9  8  8
2333  2 Sq    Big X    Red Out    Green In   Ãˆ   6  6  6  9  9  9
3111  3x3 Sq  No X     Black Out  White In   Ã‰   7  7  7  1  1  1
3112  3x3 Sq  No X     Black Out  Yellow In  Ê   7  7  8  1  2  2
3113  3x3 Sq  No X     Black Out  Green In   Ã‹   7  7  9  1  3  3
3121  3x3 Sq  No X     Blue Out   White In   ÃŒ   7  8  7  2  1  4
3122  3x3 Sq  No X     Blue Out   Yellow In  Í   7  8  8  2  2  5
3123  3x3 Sq  No X     Blue Out   Green In   ÃŽ   7  8  9  2  3  6
3131  3x3 Sq  No X     Red Out    White In   Ã   7  9  7  3  1  7
3132  3x3 Sq  No X     Red Out    Yellow In  Р  7  9  8  3  2  8
3133  3x3 Sq  No X     Red Out    Green In   Ã‘   7  9  9  3  3  9
3211  3x3 Sq  Small X  Black Out  White In   Ã’   8  7  7  4  4  1
3212  3x3 Sq  Small X  Black Out  Yellow In  Ó   8  7  8  4  5  2
3213  3x3 Sq  Small X  Black Out  Green In   Ã”   8  7  9  4  6  3
3221  3x3 Sq  Small X  Blue Out   White In   Ã•   8  8  7  5  4  4
3222  3x3 Sq  Small X  Blue Out   Yellow In  Ö   8  8  8  5  5  5
3223  3x3 Sq  Small X  Blue Out   Green In   Ã˜   8  8  9  5  6  6
3231  3x3 Sq  Small X  Red Out    White In   Ã™   8  9  7  6  4  7
3232  3x3 Sq  Small X  Red Out    Yellow In  Ú   8  9  8  6  5  8
3233  3x3 Sq  Small X  Red Out    Green In   Ã›   8  9  9  6  6  9
3311  3x3 Sq  Big X    Black Out  White In   Ãœ   9  7  7  7  7  1
3312  3x3 Sq  Big X    Black Out  Yellow In  Ý   9  7  8  7  8  2
3313  3x3 Sq  Big X    Black Out  Green In   Ãž   9  7  9  7  9  3
3321  3x3 Sq  Big X    Blue Out   White In   ÃŸ   9  8  7  8  7  4
3322  3x3 Sq  Big X    Blue Out   Yellow In  Å’   9  8  8  8  8  5
3323  3x3 Sq  Big X    Blue Out   Green In   Å    9  8  9  8  9  6
3331  3x3 Sq  Big X    Red Out    White In   Å¸   9  9  7  9  7  7
3332  3x3 Sq  Big X    Red Out    Yellow In  Ž   9  9  8  9  8  8
3333  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.
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Re: setoku

Postby simon_blow_snow » Mon Jan 03, 2011 10:21 am

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
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Re: setoku

Postby tarek » Mon Jan 03, 2011 11:34 pm

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 set
Each 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.
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Re: setoku

Postby tarek » Tue Jan 04, 2011 3:10 pm

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 02
Each MiniRow/MiniColumn forms a set
Each Attribute appears 3 times in each Row/Column/Box

.... .... 3333  2223 3331 ....  .... .... ....

.... .... 1121  .... .... ....  1123 .... ....

.... 1131 ....  1132 .... ....  .... 3322 1133


.... .... ....  3131 .... 2323  1213 .... 3132

3113 .... ....  .... .... ....  .... .... 1223

1231 .... 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.
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Re: setoku

Postby tarek » Thu Jan 13, 2011 4:05 pm

These generated grids should be canonical:

Code: Select all
Setdoku grid 01
81 different symbols in 81 different squares
6 different attribute combinations form a sudoku grid

123123123123 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 257A

Sudoku Grids (12,13,...,34):
123456789456789123789123456231564897564897231897231564312645978645978312978312645
123564978645789231897312456312456897564978123789231645231645789456897312978123564
123645897564789312978231456312564789456978231897123645231456978645897123789312564
159267348348159267267348159672483591591672483483591672834915726726834915915726834
159348267267159348348267159672591483483672591591483672834726915915834726726915834
159672834834159672672834159915267483483915267267483915591726348348591726726348591


Code: Select all
Setdoku grid 02
81 different symbols in 81 different squares
All different attributes in Mini Row/Column cells
Attributes 1-2 & 3-4 form 2 sudoku grids

123456789ABC 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:
159267348672483591834915726267159483483672915915834267348591672591726834726348159
159267348834915726672483591348591672591726834726348159915834267267159483483672915

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.
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tarek
 
Posts: 2576
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Setdoku puzzles

Postby tarek » Sat Jan 15, 2011 12:16 pm

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

Code: Select all
Setdoku Puzzle 01
81 symbols in 81 cells
ALL DIFFERENT sets in Mini Column/Row & Maxi Column/Row
Attributes 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.

Image

Code: Select all
Setdoku puzzle 02
81 symbols in 81 cells
ALL DIFFERENT sets in Mini Column/Row, NO Maxi Column/Row Set rules
Attributes 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 :D )
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.
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Posts: 2576
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