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rh111311

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Sun Nov 13, 2011 2:04 pm    Post subject: rh111311 Reply with quote
Code:
 *-----------*
 |...|..6|...|
 |...|7..|.69|
 |468|.95|.23|
 |---+---+---|
 |17.|...|...|
 |..3|...|9..|
 |...|...|.54|
 |---+---+---|
 |83.|97.|216|
 |62.|..8|...|
 |...|2..|...|
 *-----------*
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Nov 13, 2011 5:38 pm    Post subject: Reply with quote
XY-Chain. The 5 in r5c1 proves 2 in r2c6: r5c6<>2.

Code:

+-------------+----------+---------------+
| 237 9  27   | 48 23 6  | 15   48   15  |
| 235 15 12   | 7  48 23 | 48   6    9   |
| 4   6  8    | 1  9  5  | 7    2    3   |
+-------------+----------+---------------+
| 1   7  246  | 48 5  9  | 368  38   28  |
| 25  45 3    | 6  48 12 | 9    7    128 |
| 29  8  269  | 3  12 7  | 16   5    4   |
+-------------+----------+---------------+
| 8   3  5    | 9  7  4  | 2    1    6   |
| 6   2  149  | 5  13 8  | 34   349  7   |
| 79  14 1479 | 2  6  13 | 3458 3489 58  |
+-------------+----------+---------------+

Play this puzzle online at the Daily Sudoku site
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Sun Nov 13, 2011 6:21 pm    Post subject: Reply with quote
Code:
 *-----------------------------------------------------------*
 | 237   9     27    | 48    23    6     | 15    48    15    |
 | 23-5 a15   b12    | 7     48   c23    | 48    6     9     |
 | 4     6     8     | 1     9     5     | 7     2     3     |
 |-------------------+-------------------+-------------------|
 | 1     7     246   | 48    5     9     | 368   38    28    |
 |e25    4-5   3     | 6     48   d12    | 9     7     128   |
 | 29    8     269   | 3     12    7     | 16    5     4     |
 |-------------------+-------------------+-------------------|
 | 8     3     5     | 9     7     4     | 2     1     6     |
 | 6     2     149   | 5     13    8     | 34    349   7     |
 | 79    14    1479  | 2     6     13    | 3458  3489  58    |
 *-----------------------------------------------------------*
w-wing internal extension?
(5...=1)r2c2-(1...=2)r2c3-(2)r2c6=(2)r5c6-(2=5)r5c1 => r2c1,r5c2<>5
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Mon Nov 14, 2011 12:55 am    Post subject: Reply with quote
I have no idea what a W-Wing internal extension is, but I can follow along and see what I'd call an AIC.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Mon Nov 14, 2011 3:05 am    Post subject: Reply with quote
Marty R. wrote:
I have no idea what a W-Wing internal extension is, but I can follow along and see what I'd call an AIC.

some aic patterns are called wings. for example:

W-Wing: (X=Y)a - (Y)b ... = (Y)c - (Y=X)d

(5...=1)r2c2-(1...=2)r2c3-(2)r2c6=(2)r5c6-(2=5)r5c1 => r2c1,r5c2<>5

The 1 extension (internal in the pattern rather than external outside the pattern) in r2c2 and r2c3 provide the construct (X=Y)a or (5=2)r2c23

I guess it could be written:
(5=2)r2c23-(2)r2c6=(2)r5c6-(2=5)r5c1 => r2c1,r5c2<>5

this fits the pattern for a w-wing. but then again I usually get it all backwards. Very Happy
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Mon Nov 14, 2011 6:30 am    Post subject: Reply with quote
arkietech wrote:
Code:
 *-----------------------------------------------------------*
 | 237   9     27    | 48    23    6     | 15    48    15    |
 | 23-5 a15   b12    | 7     48   c23    | 48    6     9     |
 | 4     6     8     | 1     9     5     | 7     2     3     |
 |-------------------+-------------------+-------------------|
 | 1     7     246   | 48    5     9     | 368   38    28    |
 |e25    4-5   3     | 6     48   d12    | 9     7     128   |
 | 29    8     269   | 3     12    7     | 16    5     4     |
 |-------------------+-------------------+-------------------|
 | 8     3     5     | 9     7     4     | 2     1     6     |
 | 6     2     149   | 5     13    8     | 34    349   7     |
 | 79    14    1479  | 2     6     13    | 3458  3489  58    |
 *-----------------------------------------------------------*
w-wing internal extension?
(5...=1)r2c2-(1...=2)r2c3-(2)r2c6=(2)r5c6-(2=5)r5c1 => r2c1,r5c2<>5
Marty,
I see ab R2C23 as a pseudocell, 25. Then I see the W-wing.

Keith
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SudoQ



Joined: 02 Aug 2011
Posts: 127
PostPosted: Mon Nov 14, 2011 9:20 am    Post subject: Reply with quote
arkietech wrote:
Code:
 *-----------------------------------------------------------*
 | 237   9     27    | 48    23    6     | 15    48    15    |
 | 23-5 a15   b12    | 7     48   c23    | 48    6     9     |
 | 4     6     8     | 1     9     5     | 7     2     3     |
 |-------------------+-------------------+-------------------|
 | 1     7     246   | 48    5     9     | 368   38    28    |
 |e25    4-5   3     | 6     48   d12    | 9     7     128   |
 | 29    8     269   | 3     12    7     | 16    5     4     |
 |-------------------+-------------------+-------------------|
 | 8     3     5     | 9     7     4     | 2     1     6     |
 | 6     2     149   | 5     13    8     | 34    349   7     |
 | 79    14    1479  | 2     6     13    | 3458  3489  58    |
 *-----------------------------------------------------------*
w-wing internal extension?
(5...=1)r2c2-(1...=2)r2c3-(2)r2c6=(2)r5c6-(2=5)r5c1 => r2c1,r5c2<>5

A reflection:
Is it necessary to include r2c2 and r2c3 in the solution?
For a manual solver, it is easy to see the hidden single r2c1=3 if r2c6=2.

/SudoQ
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Mon Nov 14, 2011 3:16 pm    Post subject: Reply with quote
Another pseudocell solution is a xy-wing(24-1) with pincers(12)r5c6 and (14)r9c2 plus pseudocell (24)r5c12.

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Mon Nov 14, 2011 4:56 pm    Post subject: Reply with quote
Quote:
I see ab R2C23 as a pseudocell, 25.

Agreed, although I'd have never seen it on my own.
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