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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Dec 23, 2012 4:48 am Post subject: December 23 VH |
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Code: |
+---------+--------------+------------+
| 9 34 7 | 14 8 13 | 5 6 2 |
| 5 8 6 | 2 379 379 | 39 1 4 |
| 1 34 2 | 469 369 5 | 7 39 8 |
+---------+--------------+------------+
| 3 27 19 | 579 2579 6 | 8 4 15 |
| 4 27 8 | 57 1 37 | 6 235 9 |
| 6 5 19 | 8 239 4 | 13 23 7 |
+---------+--------------+------------+
| 2 6 4 | 3 579 789 | 19 5789 15 |
| 8 1 5 | 679 679 2 | 4 79 3 |
| 7 9 3 | 15 4 18 | 2 58 6 |
+---------+--------------+------------+
I needed three moves, but I'm not confident that it couldn't be done in less.
X-Wing on 9 in c67 and X-Wing on 5 in c59. That gets me here where an XY-Wing on 78-5 pivoted in r7c8 finishes it off.
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Play this puzzle online at the Daily Sudoku site Code: |
+---------+--------------+-----------+
| 9 34 7 | 14 8 13 | 5 6 2 |
| 5 8 6 | 2 37 379 | 39 1 4 |
| 1 34 2 | 469 369 5 | 7 39 8 |
+---------+--------------+-----------+
| 3 27 19 | 79 2579 6 | 8 4 15 |
| 4 27 8 | 57 1 37 | 6 235 9 |
| 6 5 19 | 8 239 4 | 13 23 7 |
+---------+--------------+-----------+
| 2 6 4 | 3 57 789 | 19 78 15 |
| 8 1 5 | 679 679 2 | 4 79 3 |
| 7 9 3 | 15 4 18 | 2 58 6 |
+---------+--------------+-----------+
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Play this puzzle online at the Daily Sudoku site |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sun Dec 23, 2012 8:47 am Post subject: |
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Code: | *-----------------------------------------------------------*
| 9 34 7 | 14 8 13 | 5 6 2 |
| 5 8 6 | 2 379 379 | 39 1 4 |
| 1 34 2 | 469 369 5 | 7 39 8 |
|-------------------+-------------------+-------------------|
| 3 d27 19 | 579 e279-5 6 | 8 4 a15 |
| 4 c27 8 | 57 1 37 | 6 b235 9 |
| 6 5 19 | 8 239 4 | 13 23 7 |
|-------------------+-------------------+-------------------|
| 2 6 4 | 3 579 789 | 19 5789 15 |
| 8 1 5 | 679 679 2 | 4 79 3 |
| 7 9 3 | 15 4 18 | 2 58 6 |
*-----------------------------------------------------------*
L-wing
5r4c9=(5-2)r5c8=r5c2-r4c2=2r4c5 => -5r4c5; stte |
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George Woods
Joined: 28 Mar 2006 Posts: 304 Location: Dorset UK
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Posted: Sun Dec 23, 2012 10:17 am Post subject: Has this variation of an xy wing got a name? |
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After the x wing in 5 we can 'pivot' r4c4 if it is 9 then r4c3 denies a 1 to r4c9 which becomes 5. aliter if r4c4 is 7 then r5c4 is 5 which forces r4c9 to be 5
so r4c9 =5
but it is not an xy wing
I came to this by observing that r3c23 must contain a 1 or a2 (ellse r4c4 cannot be satisfied) this leads to a similar artgument to that given above. So it was frustrating to find that I couldn't force the argument into any known (by me) formal structure |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Sun Dec 23, 2012 11:55 am Post subject: Re: Has this variation of an xy wing got a name? |
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George Woods wrote: | ...So it was frustrating to find that I couldn't force the argument into any known (by me) formal structure |
Code: | +-------------+-------------------+----------------+
| 9 34 7 | 14 8 13 | 5 6 2 |
| 5 8 6 | 2 379 379 | 39 1 4 |
| 1 34 2 | 469 369 5 | 7 39 8 |
+-------------+-------------------+----------------+
| 3 27 (19) | (579) 279-5 6 | 8 4 (15) |
| 4 27 8 | (57) 1 37 | 6 235 9 |
| 6 5 19 | 8 239 4 | 13 23 7 |
+-------------+-------------------+----------------+
| 2 6 4 | 3 579 789 | 19 5789 15 |
| 8 1 5 | 679 679 2 | 4 79 3 |
| 7 9 3 | 15 4 18 | 2 58 6 |
+-------------+-------------------+----------------+
(5=7)r5c4-(7=159)r4c349 :=> -5r4c5 |
Extended WXYZ-Wing Type 1 or ALS X-Z Rule : W=7(restricted common), X=1, Y=9, Z=5 (common); WXYZ as r4c4, XYZ and XYZ as r4c39, WZ as r5c4 --> (Z=W)-(W=XYZ) :=> -Z.
XY Chain if 5r4c4 is already eliminated. In this case, -5r4c5 and -5r5c8.
In both case, the XWing on 5 is solved. |
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