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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Fri Jun 01, 2007 11:28 am Post subject: Stuart/Mepham Fri June 1st |
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Here's today's puzzle:
Code: |
+---+---+---+
|...|.8.|...|
|52.|...|.86|
|.1.|9..|.4.|
+---+---+---+
|.7.|3.1|.9.|
|1..|.9.|..4|
|.5.|8.6|.1.|
+---+---+---+
|.6.|..9|.7.|
|29.|...|.58|
|...|.2.|...|
+---+---+---+
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Fri Jun 01, 2007 9:11 pm Post subject: |
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Seems to me, this one needs two XY-wings. There is a UR that is not, in the end, useful.
Keith |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Fri Jun 01, 2007 9:37 pm Post subject: |
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Yes, same for me - any other solve paths ? |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sat Jun 02, 2007 8:50 pm Post subject: |
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This is where you find the first XY-wing:
Code: | +-------------------+-------------------+-------------------+
| 469 3 4679 | 14567 8 457 | 1579 2 1579 |
| 5 2 479 | 147 137 347 | 1379 8 6 |
| 8 1 67 | 9 3567 2 | 357 4 357 |
+-------------------+-------------------+-------------------+
| 46 7 246 | 3 45 1 | 8 9 25 |
| 1 8 3 | 2 9 57 | 57 6 4 |
| 49 5 249 | 8 47 6 | 237 1 237 |
+-------------------+-------------------+-------------------+
| 3 6 8 | 145 15 9 | 124 7 12 |
| 2 9 1 | 467 367 347 | 46 5 8 |
| 7 4 5 | 16 2 8 | 169 3 19 |
+-------------------+-------------------+-------------------+ |
It is <125> in R47C59. It eliminates <5> in R4C5.
There is a short chain in the same cells. If R4C9 is <2>, it forces two <5>'s in C5. So, R4C9 is <5>. Taking that road, and the UR, you eventually get to the second XY-wing:
Code: | +-------------+-------------+-------------+
| 9 3 67 | 56 8 4 | 15 2 17 |
| 5 2 4 | 17 13 37 | 9 8 6 |
| 8 1 67 | 9 56 2 | 35 4 37 |
+-------------+-------------+-------------+
| 6 7 2 | 3 4 1 | 8 9 5 |
| 1 8 3 | 2 9 5 | 7 6 4 |
| 4 5 9 | 8 7 6 | 23 1 23 |
+-------------+-------------+-------------+
| 3 6 8 | 145 15 9 | 124 7 12 |
| 2 9 1 | 467 36 37 | 46 5 8 |
| 7 4 5 | 16 2 8 | 16 3 9 |
+-------------+-------------+-------------+ |
It is <156> in R19C47. I cannot see anything else, other than a similar chain in the same cells as the XY-wing.
Keith |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sat Jun 02, 2007 9:06 pm Post subject: |
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I have to agree. |
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