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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Aug 25, 2012 5:01 am Post subject: AU Tough August 24, 2012 |
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Marty R. wrote: | Thanks Dan, I'm consistently missing those M-Wings. |
Here is one for practice.
Code: |
*-----------*
|9..|.1.|2..|
|.6.|..4|...|
|...|3..|..8|
|---+---+---|
|...|1..|6..|
|..4|8.5|9..|
|..9|..3|...|
|---+---+---|
|3..|..8|...|
|...|2..|.1.|
|..5|.7.|..4|
*-----------*
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Play/Print this puzzle online |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Sat Aug 25, 2012 12:30 pm Post subject: |
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Code after basics:
Code: | *-----------------------------------------------------------------------------*
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 | 579 8 4 | 135 3579 13579 |
| 1457 1457 17 | 3 269 269 | 145 69 8 |
|-------------------------+-------------------------+-------------------------|
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
|-------------------------+-------------------------+-------------------------|
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 | 69 7 1 | 38 23689 4 |
*-----------------------------------------------------------------------------* |
I saved the m-wing for Marty and found a w-wing with a grouped SL.
w-wing(69)r3c8|r8c6 GSL 6r178
6r1c9-(6=9)r3c8
6r7c9-r9c8=r9c4-(6=9)r8c6
6r8c9-(6=9)r8c6
Plus transport: 9r8c6-r9c4=r2c4; -9r2c89,r3c6
Ted |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Aug 25, 2012 3:09 pm Post subject: |
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Code: |
+-------------------+-------------+-------------------+
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 | 579 8 4 | 135 3579 13579 |
| 1457 1457 17 | 3 269 269 | 145 69 8 |
+-------------------+-------------+-------------------+
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
+-------------------+-------------+-------------------+
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 | 69 7 1 | 38 23689 4 |
+-------------------+-------------+-------------------+
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Play this puzzle online at the Daily Sudoku site
Quote: | I saved the m-wing for Marty |
Thanks Ted, but I did the near-impossible and missed it even knowing it's there.
I used the W-Wing (67) in boxes 25 followed by a Finned X-Wing in r19; r3c8<>6. |
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Luke451
Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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Posted: Sat Aug 25, 2012 4:03 pm Post subject: |
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Code: | *-----------------------------------------------------------------------------*
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 | 579 8 4 | 135 3579 13579 |
| 1457 1457 17 | 3 269 269 | 145 69 8 |
|-------------------------+-------------------------+-------------------------|
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
|-------------------------+-------------------------+-------------------------|
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 | 69 7 1 | 38 23689 4 |
*-----------------------------------------------------------------------------* |
I think I see one on (67), which opens up one on (69), but they don't solve the puzzle.
(Update: now I think the (69) one solves the puzzle from basics...) |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Aug 25, 2012 4:37 pm Post subject: |
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Here is the one I found:
Code: |
*-----------------------------------------------------------------------------*
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 |d579 8 4 | 135 357-9 1357-9 |
| 1457 1457 17 | 3 26-9 26-9 | 145 a69 8 |
|-------------------------+-------------------------+-------------------------|
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
|-------------------------+-------------------------+-------------------------|
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 |c69 7 1 | 38 b23689 4 |
*-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Aug 25, 2012 5:21 pm Post subject: |
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Quote: | Here is the one I found: |
My eyes are fine but the brain is MIA. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Sat Aug 25, 2012 6:41 pm Post subject: |
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arkietech wrote: | Here is the one I found:
Code: |
*-----------------------------------------------------------------------------*
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 |d579 8 4 | 135 357-9 1357-9 |
| 1457 1457 17 | 3 26-9 26-9 | 145 a69 8 |
|-------------------------+-------------------------+-------------------------|
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
|-------------------------+-------------------------+-------------------------|
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 |c69 7 1 | 38 b23689 4 |
*-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte
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Yes, I cheated a bit by turning the m-wing into a w-wing plus a pincer transport using part of the m-wing path.
Ted |
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Luke451
Joined: 20 Apr 2008 Posts: 310 Location: Southern Northern California
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Posted: Sat Aug 25, 2012 8:31 pm Post subject: |
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arkietech wrote: | Here is the one I found:
Code: |
*-----------------------------------------------------------------------------*
| 9 3458 38 | 567 1 67 | 2 34567 3567 |
| 125 6 123 |d579 8 4 | 135 357-9 1357-9 |
| 1457 1457 17 | 3 26-9 26-9 | 145 a69 8 |
|-------------------------+-------------------------+-------------------------|
| 2578 23578 2378 | 1 249 279 | 6 234578 2357 |
| 1267 1237 4 | 8 26 5 | 9 237 1237 |
| 125678 12578 9 | 67 246 3 | 1458 24578 1257 |
|-------------------------+-------------------------+-------------------------|
| 3 129 126 | 4 5 8 | 7 269 269 |
| 478 4789 678 | 2 3 69 | 58 1 569 |
| 28 289 5 |c69 7 1 | 38 b23689 4 |
*-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte
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Yep, that was it.
Just for the practice, the (67) one that doesn't solve it went like this:
(6=7)r1c6-(7)r12c4=(7-6)r6c4=(6)r56c5 ==>r3c5<>6
I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link. |
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arkietech
Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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Posted: Sat Aug 25, 2012 10:04 pm Post subject: |
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Luke451 wrote: | I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link. |
You are right. The node having the weak link does not have to be bivalue.
I see it as having one bivalue with an internal strong link(X=Y). There are only these two values in the SIS (XY).
M-Wing: 3-SIS using bivalue(XY), bilocation(Y), and bilocation(X) |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Aug 26, 2012 1:05 am Post subject: |
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Luke451 wrote: | I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link. |
As architech mentioned, you are correct that the weak link doesn't need to be a bivalue cell. Also, each bilocation indicated by architech can actually be a grouped strong inference. For reference, ronk created a table of 15 different M-Wing types/patterns. He also includes puzzles that contain each type/pattern. Anyone interested in tackling these puzzles? |
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ronk
Joined: 07 May 2006 Posts: 398
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Posted: Sun Aug 26, 2012 1:44 pm Post subject: |
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daj95376 wrote: | ronk created a table of 15 different M-Wing types/patterns. He also includes puzzles that contain each type/pattern. |
As I recall, you helped find many of those puzzles. Thanks. |
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