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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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 Posted: Thu Nov 18, 2010 3:25 pm Post subject: Vanhagen Extreme Nov 18 |
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Another Vanhegan that seems to have numerous chains.....
| Code: |
+-------+-------+-------+
| 2 . . | 5 . . | 6 . 4 |
| . 1 7 | 6 . . | . 5 . |
| 9 . . | . . 4 | . 8 . |
+-------+-------+-------+
| . . 8 | . . . | . 3 2 |
| . . . | . 4 . | . . . |
| 1 3 . | . . . | 7 . . |
+-------+-------+-------+
| . 2 . | 7 . . | . . 5 |
| . 6 . | . . 1 | 3 2 . |
| 3 . 5 | . . 2 | . . 7 |
+-------+-------+-------+
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Play this puzzle online at the Daily Sudoku site
| Quote: | (6=9)r4c5-r7c5=r7c78-(9=8)r8c9-r9c7=(8-5)r5c7=r4c7-(5=6)r4c1; r4c6<>6
(3=2)r3c4-(2=1)r3c7-r9c7=(1-6)r9c8=r7c8-(6=3)r7c6; r2c6<>3
Kraken cell (249)r6c3; r4c2<>9
(2)r6c2-(2=9)r5c3;
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(4)r6c3-(4=9)r6c8-(9=1)r5c8-r9c8=(1-8)r9c7=r8c9-r56c9=(8-5)r5c7=r4c7-(5=6)r4c1-(6=9)r4c5;
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(9)r6c3;
AXY-wing -369 vertex (69)r4c5, pincers (36)r5c6 & (39)r7c5 with fin (6)r7c5; r7c6<>3
xy-wing =(6)r7c5-(6=8)r9c5-(8=1)r9c7-(1=2)r3c7-(2=3)r3c4-r5c4=(3)r5c6 |
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Nov 18, 2010 5:39 pm Post subject: |
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I often have trouble with Vanhegan extremes, but this wasn't one of them. I did it a second time because I didn't trust myself.
| Quote: | | XYZ-Wing (369); r9c5<>6 |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Thu Nov 18, 2010 6:27 pm Post subject: |
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Marty beat me to it! After basics: | Code: | +-------------------+-------------------+-------------------+
| 2 8 3 | 5 1 9 | 6 7 4 |
| 4 1 7 | 6 238 38 | 29 5 39 |
| 9 5 6 | 23 7 4 | 12 8 13 |
+-------------------+-------------------+-------------------+
| 56 479 8 | 19 69 67 | 1459 3 2 |
| 56 79 29 | 12389 4 3678 | 1589 19 1689 |
| 1 3 249 | 289 2689 5 | 7 49 689 |
+-------------------+-------------------+-------------------+
| 8 2 1 | 7 369 36 | 49 469 5 |
| 7 6 49 | 489 5 1 | 3 2 89 |
| 3 49 5 | 489 689 2 | 189 169 7 |
+-------------------+-------------------+-------------------+ |
Keith |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Thu Nov 18, 2010 6:36 pm Post subject: |
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I missed the xyz-wing - I think the "Extreme" rating sent me looking at chains too early.. (Nice spot, Marty  )
Here's an ANP that also solves it..
| Quote: | ANP(49=6)r7c78 - (6=3)r7c6 - r7c5=r2c5 - (3=9)r2c9 ; r8c9<>9
.. or written as a w-wing (for fun)...
w-wing(39)/als ; (946=3)r7c678 - r7c5=r2c5 - (3=9)r2c9
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Thu Nov 18, 2010 7:33 pm Post subject: |
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Using Keith's grid and reviewing Peter's chain:
| Code: | +-------------------+-------------------+-------------------+
| 2 8 3 | 5 1 9 | 6 7 4 |
| 4 1 7 | 6 238 38 | 29 5 39 |
| 9 5 6 | 23 7 4 | 12 8 13 |
+-------------------+-------------------+-------------------+
| 56 479 8 | 19 69 67 | 1459 3 2 |
| 56 79 29 | 12389 4 3678 | 1589 19 1689 |
| 1 3 249 | 289 2689 5 | 7 49 689 |
+-------------------+-------------------+-------------------+
| 8 2 1 | 7 369 36 | 49 469 5 |
| 7 6 49 | 489 5 1 | 3 2 89 |
| 3 49 5 | 489 689 2 | 189 169 7 |
+-------------------+-------------------+-------------------+
ANP(49=6)r7c78 - (6=3)r7c6 - r7c5=r2c5 - (3=9)r2c9 ; r8c9<>9
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I had a feeling that an alternate perspective existed. Finally, it hit me:
| Code: | (9)r7c78 = (9-3)r7c5 = r2c5 - (3=9)r2c9 ; r8c9<>9
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Which is the "reverse" of an M-Wing Type 3A.
Yes, Congratulations Marty on finding that solitary XYZ-Wing! |
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