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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Dec 26, 2010 12:12 am Post subject: Nataraj Special Holiday XY-Chain #2 |
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Code: |
+-------+-------+-------+
| . . . | 2 . 5 | 3 . . |
| 3 . . | . . . | . 8 7 |
| . 2 . | . . 8 | . . 4 |
+-------+-------+-------+
| . 1 . | . . 2 | . 7 . |
| . . . | 1 . 3 | . . . |
| . 7 . | 4 . . | . 5 . |
+-------+-------+-------+
| 1 . . | 8 . . | . 4 . |
| 8 4 . | . . . | . . 6 |
| . . 6 | 5 . 1 | . . . |
+-------+-------+-------+
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Play this puzzle online at the Daily Sudoku site
Is it legal to do these without using chains?
Quote: | W-Wing (29), flightless; r7c5<>2 |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Sun Dec 26, 2010 3:52 pm Post subject: |
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Here is a two stepper using one chain, or an "almost" xy-chain one stepper.
xyz-wing(289)r5c9; r6c9<>2
(6)r7c6=(6)r6c6-(6=1)r6c7-(1=3)r6c9-(3=2)r6c3-(2=7)r7c3-(7=9=6)r7c76; r6c6<>6
or as an AXY-chain where r6c9=13 or r6c9=2
If r6c9=13: (6)r7c6=(6)r6c6-(6=1)r6c7-(1=3)r6c9-(3=2)r6c3-(2=7)r7c3-(7=9=6)r7c76; r6c6<>6
If r6c9=2: (2)r6c9-r6c1=r9c1-(2=7)r7c3-(7=9=6)r7c76; r6c6<>6
Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Dec 26, 2010 6:04 pm Post subject: |
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Discovered while reviewing Ted's AXY-Chain:
Code: | (6=79)r7c67 - (7=2)r7c3 - r9c1 = (2-9)r6c1 = (9)r6c6 => r6c6<>6
+-----------------------------------------------------+
| 47 8 47 | 2 19 5 | 3 6 19 |
| 3 5 19 | 69 169 4 | 2 8 7 |
| 6 2 19 | 7 3 8 | 5 19 4 |
|-----------------+-----------------+-----------------|
| 49 1 348 | 69 5 2 | 468 7 38 |
| 5 6 248 | 1 7 3 | 489 29 289 |
| 29 7 23 | 4 8 69 | 16 5 123 |
|-----------------+-----------------+-----------------|
| 1 3 27 | 8 269 679 | 79 4 5 |
| 8 4 5 | 3 29 79 | 179 129 6 |
| 27 9 6 | 5 4 1 | 78 3 28 |
+-----------------------------------------------------+
# 45 eliminations remain
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This is one of those scenarios that makes me unsettled because the ANP is in one house/unit and the elimination isn't.
Is it time to look for the gM-Wing with four strong inferences? |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sun Dec 26, 2010 6:42 pm Post subject: |
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Does this feel any better ... (At the cost of an extra strong link)
Code: | (6=79)r78c6 - (9=2)r8c5 - r7c5=r7c3 ..... etc |
As you know I'm all for exploring m-wing-like extensions. |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sun Dec 26, 2010 9:11 pm Post subject: |
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peterj wrote: | Does this feel any better ... (At the cost of an extra strong link)
Code: | (6=79)r78c6 - (9=2)r8c5 - r7c5=r7c3 ..... etc |
As you know I'm all for exploring m-wing-like extensions. |
Drop the first strong link. The gM-Wing is not on <6>. |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sun Dec 26, 2010 10:01 pm Post subject: |
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daj95376 wrote: | Drop the first strong link. The gM-Wing is not on <6>. |
It was a response to your comment about ANP not being in the same house as the elimination.... |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Mon Dec 27, 2010 4:26 am Post subject: |
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peterj wrote: | It was a response to your comment about ANP not being in the same house as the elimination.... |
Okay ... thanks! |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Mon Dec 27, 2010 12:07 pm Post subject: |
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Perhaps this is the simplest one-stepper - for the same elimination with just two SL
Code: | *----------------------------------------------------*
| 47 8 47 | 2 19 5 | 3 6 19 |
| 3 5 19 | 69 169 4 | 2 8 7 |
| 6 2 19 | 7 3 8 | 5 19 4 |
|----------------+-----------------+-----------------|
| 49 1 348 | 69 5 2 | 468 7 38 |
| 5 6 248 | 1 7 3 | 489 29 289 |
| 29 7 23 | 4 8 9-6 | (16) 5 123 |
|----------------+-----------------+-----------------|
| 1 3 27 | 8 269 *79+6 | *79 4 5 |
| 8 4 5 | 3 29 *79 | *79+1 129 6 |
| 27 9 6 | 5 4 1 | 78 3 28 |
*----------------------------------------------------*
UR(79)r78c67[(6)r7c6=(1)r8c7] - (1=6)r6c7 ; r6c6<>6 |
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Mon Dec 27, 2010 5:55 pm Post subject: Re: Nataraj Special Holiday XY-Chain #2 |
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Marty R. wrote: | [code]
Is it legal to do these without using chains?
Quote: | W-Wing (29), flightless; r7c5<>2 |
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Absolutely ! legalissimo
If I'd known there was a transportable wing, I'd have put it in the "nice" section ... I soooo love these flightless killer creatures |
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