Girandola

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Girandola

Postby tarek » Fri Jan 11, 2008 9:23 pm

I was wondering if this pattern has been posted somewhere before.....

it is a cross between windoku & 9-cell constraint (sort like Clover).....


To me it resembles Girandola fireworks. If anyone is interested, I could also post some puzzles following the rules of this sudoku variant

Image

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Postby Ruud » Fri Jan 11, 2008 9:56 pm

The 5-cell overlap between the R159C159 Windoku group and the additional constraint forces 2 quads for the same 4 digits in R5C1289 and R1289C5. These should be taken into account when rating the difficulty.

tarek wrote:If anyone is interested, I could also post some puzzles following the rules of this sudoku variant

Bring 'em on!

[edit]

Just figured out that the quads would also force R5C46 to contain the same digits as R37C5 and R5C37 the same as R46C5. This is a very restrained puzzle format.

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Postby tarek » Fri Jan 11, 2008 10:20 pm

There is no overlap that i can see Ruud....
The Windoku groups (in blue) and the extra constraint in red

The clover has some overlap but not this one........

Could you elaborate a bit !!

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Postby Ruud » Fri Jan 11, 2008 10:46 pm

hidden constraints for the Windoku variant:

2 boxes in rows 234 leaves 9 cells containing digits 1-9 (R234C159)
2 boxes in rows 678 leaves 9 cells containing digits 1-9 (R678C159)
2 boxes in columns 234 leaves 9 cells containing digits 1-9 (R159C234)
2 boxes in columns 678 leaves 9 cells containing digits 1-9 (R159C678)

4 windoku boxes + 4 hidden constraints leaves 9 cells containing digits 1-9 in R159C159.

This last constraint has 5 overlapping cells with your red cells. The remaining 4 cells have a LOL relationship, but since they are distributed 2 by 2 in R5 AND C5, we have the quads.

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Postby tarek » Fri Jan 11, 2008 11:02 pm

thanx,

I'll try & generate some puzzles to see how this works out.

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Postby HATMAN » Sat Jan 12, 2008 1:08 pm

Tarek

If you are interested in Restrained Sudokus, I recently posted a very limited one on Ruud's site at

http://www.sudocue.net/forum/viewtopic.php?t=887

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Postby Smythe Dakota » Sat Jan 12, 2008 1:17 pm

Clarification, please.

I'm not quite sure what all the nonets are. For example, is R1C2345678 R3C5 R4C5 one of them?

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Postby Ruud » Sat Jan 12, 2008 2:59 pm

My first Girandola:D

Code: Select all
. . .|. . .|. . .
. . 7|. . .|. . .
. . .|5 . .|. . 3
-----+-----+-----
. . .|. . .|. . .
. . .|. . .|. . 7
. . .|. 5 8|. 1 .
-----+-----+-----
. . .|. . 4|. . .
3 1 .|8 . .|. 6 .
. . .|6 9 1|. . 5


A light appetizer...

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Postby HATMAN » Sat Jan 12, 2008 10:47 pm

Bill

I do not think so - but it is an obviuos likelyhood.


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Postby HATMAN » Sat Jan 12, 2008 10:59 pm

Light as in "para"glider - all singles? (I mean the sport that I do occasionally - not him from {I've been chasing back on "para" - I thought he was from) the Netherlands but nothing is clearly stated,)
Last edited by HATMAN on Sat Jan 12, 2008 7:28 pm, edited 2 times in total.
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Postby tarek » Sat Jan 12, 2008 11:15 pm

[r5c8]: 9 is a hidden single for the Girandola group does it:D

Solution below:

193487652547263189268519743731946528685132497924758316856324971319875264472691835


will post some puzzle soon

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Postby tarek » Sun Jan 13, 2008 4:04 am

thanx HATMAN for the link,


Here is my 1st Girandola ........ More to come in the future.
Image
Code: Select all
901000605000000200240001009002000000000000000000000100100500062003000000408000903
 9 . 1 | . . . | 6 . 5 
 . . . | . . . | 2 . . 
 2 4 . | . . 1 | . . 9 
-------+-------+------
 . . 2 | . . . | . . . 
 . . . | . . . | . . . 
 . . . | . . . | 1 . . 
-------+-------+------
 1 . . | 5 . . | . 6 2 
 . . 3 | . . . | . . . 
 4 . 8 | . . . | 9 . 3 
It should be very easy

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Postby HATMAN » Sun Jan 13, 2008 7:35 pm

tarek

With Restained Sudokus you have to limit the clues more severely
this one is human solvable with just the values in N1379
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Postby Ruud » Sun Jan 13, 2008 7:48 pm

An optimized version of tarek's Girandola:

Code: Select all
. . .|. . .|. . 5
. . .|. . .|. . .
. 4 .|. . .|. . 9
-----+-----+-----
. . 2|. . .|. . .
. . .|. . .|. . .
. . .|. . .|1 . .
-----+-----+-----
1 . .|. . .|. 6 2
. . 3|. . .|. . .
4 . 8|. . .|9 . 3


Although it has a unique solution, I wonder if this is still human solvable...
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Postby tarek » Sun Jan 13, 2008 10:58 pm

Ruud,

you mentioned the LOL relationship between r28c5,r5c27 & r19c5,r5c19 which I understand....
But what is the quad you are talking about? (is it a LOLLOL:D:?: )

regarding Minimal puzzles & Beyond human level:
Code: Select all
 . . 1 | . . . | . . . 
 . 9 3 | . . . | . 4 . 
 . . . | . . . | . 8 2 
-------+-------+------
 . . . | . . . | . . . 
 . . . | . . . | . . . 
 . . . | . . . | . . . 
-------+-------+------
 7 1 . | . . . | . . . 
 . 3 . | . . . | 5 1 . 
 . . . | . . . | 2 . .


Another question, What do you call the regions .....
W1-4 is easy what about the other 5 hidden (do they have a name)?

tarek

[Edit: the above grid has multiple solutions produced due to a bug in my program which has been fixed]
Last edited by tarek on Sun Jan 13, 2008 10:21 pm, edited 1 time in total.
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