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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Sep 18, 2010 4:58 am Post subject: Puzzle 10/09/18: B |
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Code: | +-----------------------+
| . . . | . . . | . 6 . |
| . 3 . | . . 4 | 1 8 . |
| . . . | . . 5 | . . . |
|-------+-------+-------|
| . . . | 7 . . | 4 1 6 |
| . . . | . 5 2 | 8 . . |
| . 1 8 | . 4 . | 3 2 . |
|-------+-------+-------|
| . 8 . | 4 9 7 | 6 5 . |
| 5 6 . | 8 . 1 | 7 4 . |
| . . . | 5 . . | . . . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sat Sep 18, 2010 9:40 am Post subject: |
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One interpretation of the 2/3 SL..
Quote: | s-wing(23) (3)r1c4=r1c9 - (3=2)r8c9 - (2)r2c9=r2c4 ; r1c4<>2 |
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JC Van Hay
Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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Posted: Sat Sep 18, 2010 10:13 am Post subject: |
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A longer single lazy step ...
Quote: | 5-SIS AIC : 8C6 3C6 3B9 2C9 9R2 : (8)r1c6=(9)r2c4 : => r1c6<>9
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Sep 19, 2010 12:33 am Post subject: |
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While reviewing this puzzle, I noted the similarity between Peter's S-Wing and my solver's M-Wing.
Code: | M-Wing 2B (2=3)r8c9 - r1c9 = (3-2)r1c4 = (2)r2c4 => r2c9<>2
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Then, I started examining the <18> UR eliminations and had a feeling that the UR was part of a larger DP in [band 1].
Accept this with a grain of salt!!!
Code: | <1478> DP r13c1359
(3)r13c9 - (3)r3c8
(6)r3c5 - (6=3)r3c4 - (3)r3c8
+-----------------------------------------------------+
| *148 29 *147 | 239 *18 89 | 5 6 *47+3 |
| 6 3 5 | 29 7 4 | 1 8 29 |
| *148 29 *147 | 36 *18+6 5 | 29 7-3 *47+3 |
|-----------------+-----------------+-----------------|
| 9 5 2 | 7 38 38 | 4 1 6 |
| 3 4 6 | 1 5 2 | 8 79 79 |
| 7 1 8 | 69 4 69 | 3 2 5 |
|-----------------+-----------------+-----------------|
| 2 8 3 | 4 9 7 | 6 5 1 |
| 5 6 9 | 8 23 1 | 7 4 23 |
| 14 7 14 | 5 236 36 | 29 39 8 |
+-----------------------------------------------------+
# 40 eliminations remain
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sun Sep 19, 2010 7:47 am Post subject: |
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daj95376 wrote: | Accept this with a grain of salt!!! |
Danny, is salt needed? Fwiw, it looks good to me. Great spot!
My only reference on the "when is a pattern a MUG?" is myths article here. My interpretation would be that this is a "permeable" MUG. The external cells that can influence the DP are (14)r9c13, (8)r4c5, (7)r3c8 and (7)r5c9. If you consider each of these in turn...
(1)r9c1,(4)r9c2 collapses the MUG to a BUG-Lite (48),(14),(18),(47)
(4)r9c1,(1)r9c2 collapses the MUG to a UR(18) and UR(47)
(8)r4c5 leads to a zero-solution with two 1s in b2
(7)r3c8 and (7)r5c9 leads to a zero-solution with two 3s in b3
So if I understand the original post (and assuming it is right!) then this looks like a nice permeable MUG with the DP killers leading to the elimination you describe. |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Sep 19, 2010 10:55 am Post subject: |
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peterj wrote: | Danny, is salt needed? Fwiw, it looks good to me. Great spot!
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Thanks Peter for confirming that a DP exists. Thanks also for the reference link. Unfortunately, I've read that link (and others) about DPs ... only to come away with a headache and no comprehension of the subject matter.
In this puzzle, I saw:
*) X-Wing on <7> in [band 1]
*) X-Wing on <8> in [band 1]
*) "triple-wing" on <1> overlaying <7/8> X-Wings
*) "triple-wing" on <4> overlaying <7/8> X-Wings
So, I stuck my neck out and called it a DP because it was too "hinkey" (sic?) not to be a DP. _ _
Regards, Danny
My latest headache was posted here:
Code: | +-------+-------+-------+ +-------+-------+-------+
|*3 .*1 | 4 . 6 |*8*7 9 | |*1 .*3 | 4 . 6 |*7*8 9 |
| . . . | 1 . . | . . . | | . . . | 1 . . | . . . |
| 6 . 8 | . 7 3 | 1 . . | | 6 . 8 | . 7 3 | 1 . . |
+-------+-------+-------+ +-------+-------+-------+
| . 8 . | 3 . 1 | 5 . 7 | | . 8 . | 3 . 1 | 5 . 7 |
|*1 .*3 | 5 . 7 | 9 . 8 | |*3 .*1 | 5 . 7 | 9 . 8 |
| 5 . . | . . . | . 1 . | | 5 . . | . . . | . 1 . |
+-------+-------+-------+ +-------+-------+-------+
| . . 6 | . . . | . . 5 | | . . 6 | . . . | . . 5 |
|*9 . 5 | 7 3 . | 6*8 . | |*8 . 5 | 7 3 . | 6*9 . |
|*8 . . | 6 . 5 |*7*9 . | |*9 . . | 6 . 5 |*8*7 . |
+-------+-------+-------+ +-------+-------+-------+
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The 4-cell DP in [b14] is obvious -- even to me. The 7-cell DP gave me insomnia.
In my mind, performing a cycle on the (89) DP in [band 3] forces an (87) DP in [stack 3].
Code: | +-------+-------+-------+ +-------+-------+-------+
|*3 .*1 | 4 . 6 | 8 7 9 | |*1 .*3 | 4 . 6 |*8*7 9 |
| . . . | 1 . . | . . . | | . . . | 1 . . | . . . |
| 6 . 8 | . 7 3 | 1 . . | | 6 . 8 | . 7 3 | 1 . . |
+-------+-------+-------+ +-------+-------+-------+
| . 8 . | 3 . 1 | 5 . 7 | | . 8 . | 3 . 1 | 5 . 7 |
|*1 .*3 | 5 . 7 | 9 . 8 | |*3 .*1 | 5 . 7 | 9 . 8 |
| 5 . . | . . . | . 1 . | | 5 . . | . . . | . 1 . |
+-------+-------+-------+ +-------+-------+-------+
| . . 6 | . . . | . . 5 | | . . 6 | . . . | . . 5 |
|*9 . 5 | 7 3 . | 6*8 . | |*8 . 5 | 7 3 . | 6*9 . |
|*8 . . | 6 . 5 | 7*9 . | |*9 . . | 6 . 5 |*7*8 . |
+-------+-------+-------+ +-------+-------+-------+
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Now, I have 3x 4-cell DPs and no other mapping is needed to address the problem cells. |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Sep 19, 2010 12:55 pm Post subject: |
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An old-fashioned XY-Wing (369), pivot r9c6, flightless with pincer transport; r6c4, r1c6<>9. |
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