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Pattern Game 52 GPF 6.2

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Mon Apr 16, 2012 5:42 am    Post subject: Pattern Game 52 GPF 6.2 Reply with quote

Code:
 *-----------*
 |.1.|.2.|3..|
 |..4|..5|.6.|
 |.7.|...|..4|
 |---+---+---|
 |..6|8..|.7.|
 |...|9..|..2|
 |.5.|.17|...|
 |---+---+---|
 |4..|..6|.5.|
 |...|4..|9.6|
 |..8|...|...|
 *-----------*

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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Mon Apr 16, 2012 7:48 pm    Post subject: Reply with quote

What is a Sue de Cog?
Tried to find an explanation but came up short.
my understanding:
Takes 3 sets a,b,and c
c is common to a and b
a or b must be in a block containing c
the other a or b must be in a row/col containing c
c contains only the digits in a and b
any c digits located in the block outside of a|b,c can be removed.
any c digits located in the row/col outside of a|b,c can be removed.
Code:

 *-----------------------------------------------------------*
 | 6     1     59    | 7     2     4     | 3     89    589   |
 | 23    8     4     | 13    9     5     | 127   6    a17    |
 | 2359  7     2359  | 13    6     8     | 125   129   4     |
 |-------------------+-------------------+-------------------|
 | 139   39    6     | 8     4     2     | 15    7     359-1 |
 | 178   4     17    | 9     5     3     | 6     18    2     |
 | 2389  5     239   | 6     1     7     | 48    3489  389   |
 |-------------------+-------------------+-------------------|
 | 4     39    1379  | 2     378   6     | 17-8  5    c1378  |
 | 357   2     357   | 4     378   1     | 9    b38    6     |
 | 137   6     8     | 5     37    9     | 24    24   c137   |
 *-----------------------------------------------------------*
Sue de Coq
a=17 r2c9
b=38 r8c8
c=1378 r79c9
(38)r8c8=(38-17)r79c9=(17)r2c9 => r7c7<>8, r4c9<>1;
stte

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DonM



Joined: 15 Sep 2009
Posts: 51

PostPosted: Mon Apr 16, 2012 8:38 pm    Post subject: Reply with quote

arkietech wrote:
What is a Sue de Cog?
Tried to find an explanation but came up short.
my understanding:
Takes 3 sets a,b,and c
c is common to a and b
a or b must be in a block containing c
the other a or b must be in a row/col containing c
c contains only the digits in a and b
any c digits located in the block outside of a|b,c can be removed.
any c digits located in the row/col outside of a|b,c can be removed.
Code:

 *-----------------------------------------------------------*
 | 6     1     59    | 7     2     4     | 3     89    589   |
 | 23    8     4     | 13    9     5     | 127   6    a17    |
 | 2359  7     2359  | 13    6     8     | 125   129   4     |
 |-------------------+-------------------+-------------------|
 | 139   39    6     | 8     4     2     | 15    7     359-1 |
 | 178   4     17    | 9     5     3     | 6     18    2     |
 | 2389  5     239   | 6     1     7     | 48    3489  389   |
 |-------------------+-------------------+-------------------|
 | 4     39    1379  | 2     378   6     | 17-8  5    c1378  |
 | 357   2     357   | 4     378   1     | 9    b38    6     |
 | 137   6     8     | 5     37    9     | 24    24   c137   |
 *-----------------------------------------------------------*
Sue de Coq
a=17 r2c9
b=38 r8c8
c=1378 r79c9
(38)r8c8=(38-17)r79c9=(17)r2c9 => r7c7<>8, r4c9<>1;
stte



The above is the simplest form of Sue-de-coq. A Sue-de-coq can be looked at in different ways depending on your perspective such as it being a pattern exposing otherwise-hard-to-find dual-linked almost locked sets. It can be difficult to find in-depth information about it, but I wrote about it a few years ago and included a number of examples with graphics.

http://forum.enjoysudoku.com/sue-de-coq-revisited-again-asi-1-t6410.html
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Mon Apr 16, 2012 9:33 pm    Post subject: Reply with quote

DonM wrote:
The above is the simplest form of Sue-de-coq. A Sue-de-coq can be looked at in different ways depending on your perspective such as it being a pattern exposing otherwise-hard-to-find dual-linked almost locked sets. It can be difficult to find in-depth information about it, but I wrote about it a few years ago and included a number of examples with graphics.

http://forum.enjoysudoku.com/sue-de-coq-revisited-again-asi-1-t6410.html


Thanks, Very Happy I will study and see if I can find some examples.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Tue Apr 17, 2012 12:01 am    Post subject: Reply with quote

There's a Sue-de-coq discussion here:

http://www.dailysudoku.co.uk/sudoku/forums/viewtopic.php?t=5833

My solution isn't particularly elegant, but trying a chain I found r8c8=8-->r5c8=8; r8c8<>8.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Tue Apr 17, 2012 12:33 am    Post subject: Reply with quote

Marty R. wrote:
There's a Sue-de-coq discussion here:

http://www.dailysudoku.co.uk/sudoku/forums/viewtopic.php?t=5833



Thanks Marty -- exactly what I needed. Very Happy
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