Vanhegan Extreme February 17, 2013

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Vanhegan Extreme February 17, 2013

Postby ArkieTech » Sun Feb 17, 2013 7:18 am

Code: Select all
 *-----------*
 |..5|...|3..|
 |...|193|...|
 |...|2.4|...|
 |---+---+---|
 |569|317|482|
 |41.|...|.75|
 |728|465|931|
 |---+---+---|
 |...|5.2|...|
 |...|648|...|
 |..6|...|7..|
 *-----------*


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Re: Vanhegan Extreme February 17, 2013

Postby Leren » Sun Feb 17, 2013 8:22 am

Code: Select all
*-----------------------------------------------------------------------*
| 1-2    49     5       | 7      8      6       | 3     c12    c49      |
| 268    478    247     | 1      9      3       | 25     2456  c4678    |
| 13689  3789   17      | 2      5      4       |c18    c169   c6789    |
|-----------------------+-----------------------+-----------------------|
| 5      6      9       | 3      1      7       | 4      8      2       |
| 4      1      3       | 8      2      9       | 6      7      5       |
| 7      2      8       | 4      6      5       | 9      3      1       |
|-----------------------+-----------------------+-----------------------|
| 1389   3489   14      | 5      7      2       | 18     1469   34689   |
| 1239   3579   127     | 6      4      8       | 25     1259   39      |
|a28     458    6       | 9      3      1       | 7      45-2  b48      |
*-----------------------------------------------------------------------*


als xy-wing: (2=8) r9c1 - (8=4) r9c9 - (4=2) r1c89,r2c9,r3c789 => r1c1, r9c8 <> 2; stte

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Re: Vanhegan Extreme February 17, 2013

Postby JC Van Hay » Sun Feb 17, 2013 8:26 am

#1. 13 Singles; r1c18=12

Solving the XWing(2r19c18) :=> -2r28c18 ...
Code: Select all
+------------------+---------+-----------------------+
| 1-2    49    5   | 7  8  6 | 3      1(2)    9(4)   |
| 268    478   247 | 1  9  3 | 8(25)  6(245)  678(4) |
| 13689  3789  17  | 2  5  4 | 18     169     6789   |
+------------------+---------+-----------------------+
| 5      6     9   | 3  1  7 | 4      8       2      |
| 4      1     3   | 8  2  9 | 6      7       5      |
| 7      2     8   | 4  6  5 | 9      3       1      |
+------------------+---------+-----------------------+
| 1389   3489  14  | 5  7  2 | 18     1469    34689  |
| 1239   3579  127 | 6  4  8 | 125    1259    39     |
| (28)   458   6   | 9  3  1 | 7      45-2    (48)   |
+------------------+---------+-----------------------+
#2. Chain[5] : 2r1c8=HP(25-4)r2c78=4r12c9-(4=82)r9c19 :=> r1c8=2; ste
or ... (AHP->ANSextuple !?)
#2. Chain[8] : ALS-XZ-Rule : (2=167894)r1c89.r2c9.r3c789-(4=82)r9c19 :=> r1c8=2;ste
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Re: Vanhegan Extreme February 17, 2013

Postby tlanglet » Sun Feb 17, 2013 2:41 pm

ANS(17=2)r38c3-(2=8)r9c1-(8=4)r9c9-r12c9=(4-5)r2c8=r2c7-(5=2)r8c7 Conflict => r8c3<>2

or

(5=2)r2c7-r1c8=r1c1-(2=8)r9c1-(8=4)r9c9-r12c9=4r2c8 => r2c8<>5

Ted

[Edited to add second solution]
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Re: Vanhegan Extreme February 17, 2013

Postby eleven » Sun Feb 17, 2013 7:06 pm

JC Van Hay wrote:2r1c8=HP(25-4)r2c78=4r12c9-(4=82)r9c19 :=> r1c8=2; ste

Much better. Who would spot this 6-cell ANS ? I even needed some time, when i saw it marked. In this case you don't have the usual help of intermediate pairs or triples.
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