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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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 Posted: Mon May 21, 2012 6:48 am Post subject: Collection 5/21/12 |
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| Code: |
*-----------*
|.7.|.8.|4..|
|.4.|7.2|...|
|2.5|.3.|..7|
|---+---+---|
|..8|...|.1.|
|..6|.5.|7.8|
|79.|...|.3.|
|---+---+---|
|9..|.65|8..|
|...|8..|.79|
|..1|2..|3..|
*-----------*
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon May 21, 2012 12:44 pm Post subject: |
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Code after basics:
| Code: | *--------------------------------------------------------------------*
| 16 7 39 | 5 8 169 | 4 269 1236 |
| 168 4 39 | 7 19 2 | 1569 5689 1356 |
| 2 168 5 | 1469 3 1469 | 169 689 7 |
|----------------------+----------------------+----------------------|
| 345 235 8 | 3469 2479 34679 | 269 1 246 |
| 134 123 6 | 349 5 349 | 7 249 8 |
| 7 9 24 | 146 124 8 | 256 3 2456 |
|----------------------+----------------------+----------------------|
| 9 23 7 | 134 6 5 | 8 24 124 |
| 3456 2356 24 | 8 14 134 | 1256 7 9 |
| 4568 568 1 | 2 79 79 | 3 456 456 |
*--------------------------------------------------------------------*
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axy-wing(24-3)r8c3+r7c2/r8c6=(1)r8c6-(1=4=2)r8c53-(2=3)r7c2; r7c4,r8c12<>3
Ted |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Mon May 21, 2012 1:09 pm Post subject: |
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| tlanglet wrote: |
axy-wing(24-3)r8c3+r7c2/r8c6=(1)r8c6-(1=4=2)r8c53-(2=3)r7c2; r7c4,r8c12<>3 |
Nice find Ted. 
also there is a nice w-wing hiding.
| Code: | *--------------------------------------------------------------------*
| 16 7 39 | 5 8 169 | 4 269 1236 |
| 168 4 39 | 7 19 2 | 1569 5689 1356 |
| 2 168 5 | 1469 3 1469 | 169 689 7 |
|----------------------+----------------------+----------------------|
| 345 235 8 | 3469 2479 34679 | 269 1 246 |
| 134 123 6 | 349 5 349 | 7 249 8 |
| 7 9 24 | 146 124 8 | 256 3 2456 |
|----------------------+----------------------+----------------------|
| 9 3-2 7 |#134 6 5 | 8 *24 124 |
| 3456 2356 *24 | 8 #14 #134 | 156-2 7 9 |
| 4568 568 1 | 2 79 79 | 3 456 456 |
*--------------------------------------------------------------------*
w-wing
(2=4)r7c8-r7c4=r8c56-(4=2)r8c3 => r7c2,r8c7<>2
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon May 21, 2012 1:30 pm Post subject: |
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A second "similar" w-wing also exits but it needs a pincer transport.
(4=2)r7c3-r5c2=r5c8-(2=4)r7c8-r9c89=r9c1; r45c1,r8c3<>4
I normally approach a puzzle in a given sequence of steps and simply use the first solution that I find. In this case, I never got around to looking for w-wings since I was looking for xy-wings first, including almost xy-wings. That is also why I recently missed two xyz-wing solutions since I never check for them early in my sequence.
Ted |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Mon May 21, 2012 1:53 pm Post subject: |
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| I wonder if anyone has studied whether xy-wings or w-wings solve the most puzzles. To me a w-wing is much easier to spot (this one being an exception). |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon May 21, 2012 4:37 pm Post subject: |
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| arkietech wrote: | | I wonder if anyone has studied whether xy-wings or w-wings solve the most puzzles. To me a w-wing is much easier to spot (this one being an exception). |
I think that is an unknowable question (or answer?). The reason is that puzzles are screened based on the techniques needed to solve them. I imagine that some sites sort puzzles so that, at some level, XY-wings will not solve them. I doubt they screen for W- or M-wings.
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon May 21, 2012 4:45 pm Post subject: |
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| Quote: | w-wing
(2=4)r7c8-r7c4=r8c56-(4=2)r8c3 => r7c2,r8c7<>2 |
Dan, it looks like you're saying that the W-Wing solves the puzzle. I missed that because after the W-Wing I needed the X-Wing on 2 in r17.
This is where the W-Wing takes me: | Code: |
+-------------+----------------+----------------+
| 16 7 39 | 5 8 169 | 4 269 1236 |
| 168 4 39 | 7 19 2 | 1569 5689 1356 |
| 2 168 5 | 1469 3 1469 | 169 689 7 |
+-------------+----------------+----------------+
| 345 25 8 | 3469 2479 4679 | 269 1 246 |
| 134 12 6 | 349 5 49 | 7 249 8 |
| 7 9 24 | 146 124 8 | 256 3 2456 |
+-------------+----------------+----------------+
| 9 3 7 | 14 6 5 | 8 24 124 |
| 456 256 24 | 8 14 3 | 156 7 9 |
| 4568 568 1 | 2 79 79 | 3 456 456 |
+-------------+----------------+----------------+
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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: Mon May 21, 2012 5:04 pm Post subject: |
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| Marty R wrote: | Dan, it looks like you're saying that the W-Wing solves the puzzle. I missed that because after the W-Wing I needed the X-Wing on 2 in r17.
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Check the 1's in col 6.
I should have indicated lclste.  |
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Clement
Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
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| Posted: Mon May 21, 2012 6:25 pm Post subject: Collection 5/21/12 |
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We can eliminate 3 in r7c4 using the numbers left in r7c8 the 2 and 4 (Digit Forcing Chains) as follows:-
If r7c8=2 => r7c2=3; r7c4<>3.
If r7c8=4 => r9c89<>4, r8c3=2 => r7c2=3; r7c4<>3 solves it. |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon May 21, 2012 7:20 pm Post subject: |
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| Quote: | | Check the 1's in col 6. |
Up to my old tricks. |
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