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Vanhagen Extreme Nov 21, 2011

 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue Nov 22, 2011 3:41 am    Post subject: Vanhagen Extreme Nov 21, 2011 Reply with quote

I am posting another Vanhagen Extreme I hopes that others are interested. If no response, then ..........

Code:

+-------+-------+-------+
| . . . | . 4 . | 9 . 3 |
| . . 3 | 1 . . | . . 5 |
| . . 9 | . . 5 | 1 7 . |
+-------+-------+-------+
| 6 2 . | . . . | . . . |
| . 3 . | . 8 . | . 9 . |
| . . . | . . . | . 1 6 |
+-------+-------+-------+
| . 1 6 | 8 . . | 4 . . |
| 7 . . | . . 6 | 2 . . |
| 4 . 2 | . 5 . | . . . |
+-------+-------+-------+

Play online

After basics, I got:


Code:
*-----------------------------------------------------------*
 | 15    567   157   | 27    4     278   | 9     268   3     |
 | 28    467   3     | 1     2679  2789  | 68    2468  5     |
 | 28    46    9     | 23    236   5     | 1     7     48    |
 |-------------------+-------------------+-------------------|
 | 6     2     1578  | 3579  1379  1379  | 3578  348   478   |
 | 15    3     1457  | 6     8     147   | 57    9     2     |
 | 9     578   4578  | 2357  237   2347  | 3578  1     6     |
 |-------------------+-------------------+-------------------|
 | 3     1     6     | 8     279   279   | 4     5     79    |
 | 7     589   58    | 4     139   6     | 2     38    189   |
 | 4     89    2     | 379   5     1379  | 3678  368   1789  |
 *-----------------------------------------------------------*


I found an almost xy-wing that did the deed..........

xy-wing(48-2)r3c91+r2c8=ls(86)r2c87-(86=2)r1c8-(2=7)r1c4-r1c23=(7-4)r2c2=r3c2-(4=8=2)r3c91; r2c1<>2

Ted
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Tue Nov 22, 2011 8:15 am    Post subject: Reply with quote

Ted,

A Wing starting from the same cells r2c8 + r3c19 ... Wink

"L3" Wing : 4r2c8=(4-8)r3c9=(8-2)r3c1=2r2c1 => -2r2c8; stte

JC
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Tue Nov 22, 2011 2:43 pm    Post subject: Reply with quote

JC Van Hay wrote:
Ted,

A Wing starting from the same cells r2c8 + r3c19 ... Wink

"L3" Wing : 4r2c8=(4-8)r3c9=(8-2)r3c1=2r2c1 => -2r2c8; stte

JC


I got the same thing. Cute? Ugly? Interesting....
Code:

 *-----------------------------------------------------------*
 | 15    567   157   | 7-2   4     278   | 9    e268   3     |
 | 28    467   3     | 1     2679  2789  | 68   d2468  5     |
 |b28    46    9     |a23   a236   5     | 1     7    c48    |
 |-------------------+-------------------+-------------------|
 | 6     2     1578  | 3579  1379  1379  | 3578  348   478   |
 | 15    3     1457  | 6     8     147   | 57    9     2     |
 | 9     578   4578  | 2357  237   2347  | 3578  1     6     |
 |-------------------+-------------------+-------------------|
 | 3     1     6     | 8     279   279   | 4     5     79    |
 | 7     589   58    | 4     139   6     | 2     38    189   |
 | 4     89    2     | 379   5     1379  | 3678  368   1789  |
 *-----------------------------------------------------------*
(2)r3c45=(2-8)r3c1=(8-4)r3c9=(4-2)r2c8=(2)r1c8 => r1c2<>2
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue Nov 22, 2011 2:58 pm    Post subject: Reply with quote

I think those short, simple chains are elegant Exclamation

Ted
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Tue Nov 22, 2011 5:13 pm    Post subject: Reply with quote

Another solution is to eliminate 6 from r1c8 starting from the bivalue cell r2c1 via r2c7.

/SudoQ
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