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Krampus Edition - "XY Chain" #2

 
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Wed Dec 08, 2010 6:11 pm    Post subject: Krampus Edition - "XY Chain" #2 Reply with quote

Code:
 *-----------*
 |23.|7..|...|
 |.6.|...|.4.|
 |8.7|2.1|...|
 |---+---+---|
 |1..|...|4..|
 |7..|8.6|..3|
 |..2|...|..8|
 |---+---+---|
 |...|5.3|8.4|
 |.2.|...|.5.|
 |...|..2|.76|
 *-----------*
Code:
230700000060000040807201000100000400700806003002000008000503804020000050000002076

(c) Helmut Saueregger
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Dec 09, 2010 9:28 am    Post subject: Reply with quote

As the man says - an xy-chain ...
Code:
(3=9)r2c4 - (9=5)r2c1 - (5=3)r9c1 - (3=6)r6c1 - (6=3)r4c3 ; r4c4<>3
BUG+1 ; r5c2=4

Probably other xy-chains that one-step it - a sea of bivalues!
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Dec 09, 2010 2:38 pm    Post subject: Reply with quote

peterj wrote:
Probably other xy-chains that one-step it - a sea of bivalues!

None that my solver found.
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Marty R.



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

PostPosted: Fri Dec 10, 2010 1:36 am    Post subject: Reply with quote

daj95376 wrote:
peterj wrote:
Probably other xy-chains that one-step it - a sea of bivalues!

None that my solver found.

Should I do this again? There was simple coloring; r5c5<>4
Or a chain running from r1c3 to r5c5; r5c3<>4

Code:

+----------+-----------+----------+
| 2 3   49 | 7 6   45  | 1  8 59  |
| 5 6   1  | 3 9   8   | 27 4 27  |
| 8 49  7  | 2 45  1   | 6  3 59  |
+----------+-----------+----------+
| 1 8   3  | 9 25  57  | 4  6 257 |
| 7 459 49 | 8 245 6   | 25 1 3   |
| 6 45  2  | 1 3   457 | 57 9 8   |
+----------+-----------+----------+
| 9 7   6  | 5 1   3   | 8  2 4   |
| 4 2   8  | 6 7   9   | 3  5 1   |
| 3 1   5  | 4 8   2   | 9  7 6   |
+----------+-----------+----------+

Play this puzzle online at the Daily Sudoku site
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Dec 10, 2010 2:21 am    Post subject: Reply with quote

Marty R. wrote:
Should I do this again? There was simple coloring; r5c5<>4
Or a chain running from r1c3 to r5c5; r5c3<>4

I was unable to locate a chain for r5c3<>4.
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Marty R.



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

PostPosted: Fri Dec 10, 2010 2:42 am    Post subject: Reply with quote

Danny, If my grid is not in error:

R1c3=9-->r1c9=5-->r1c6=4-->r3c5=5-->r4c5=2-->r5c5=4; r5c3<>4.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Dec 10, 2010 2:53 am    Post subject: Reply with quote

Marty R. wrote:
Danny, If my grid is not in error:

Marty, your grid is correct. I'm still trying to determine how you reached it from here:

Code:
 after basics
 +--------------------------------------------------------------+
 |  2     3    *459   |  7     4569 *459   |  169   8     159   |
 |  59    6     1     |  39    3589  589   |  27    4     27    |
 |  8     459   7     |  2     4569  1     |  69    3     59    |
 |--------------------+--------------------+--------------------|
 |  1     8     36    |  39    257   57    |  4     69    27    |
 |  7     459  *459   |  8     29-4  6     |  25    1     3     |
 |  36    59-4  2     |  1     3479 *479   |  57    69    8     |
 |--------------------+--------------------+--------------------|
 |  69    7     69    |  5     1     3     |  8     2     4     |
 |  4     2     38    |  6     789   789   |  139   5     19    |
 |  35    1     358   |  4     89    2     |  39    7     6     |
 +--------------------------------------------------------------+
 # 66 eliminations remain

Only the Skyscraper on <4> is present (and indicated) at this point. What was your next step?
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Marty R.



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

PostPosted: Fri Dec 10, 2010 4:45 am    Post subject: Reply with quote

I have no idea Danny. I'd have to do it again.
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Marty R.



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

PostPosted: Fri Dec 10, 2010 5:43 am    Post subject: Reply with quote

I did it again, this time on Draw/Play and got your grid. At the rate I'm making errors I think every puzzle should be done through basics on D/P, then xx to P&P for the rest, having already eliminated many of the mechanical errors. I'm posting too many erroneous grids. Embarassed
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