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Vanhegan Extreme November 26, 2011

 
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tlanglet



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

PostPosted: Sat Nov 26, 2011 5:45 pm    Post subject: Vanhegan Extreme November 26, 2011 Reply with quote

Code:

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

Play online

After basics:
Code:
 *-----------------------------------------------------------*
 | 1678  78    18    | 4     5     369   | 79    2     378   |
 | 3     9     2     | 8     7     1     | 6     4     5     |
 | 4678  478   5     | 39    69    2     | 1     89    378   |
 |-------------------+-------------------+-------------------|
 | 478   478   6     | 1359  1489  3459  | 34    18    2     |
 | 5     1     348   | 2     468   346   | 34    7     9     |
 | 9     2     348   | 137   148   347   | 5     6     18    |
 |-------------------+-------------------+-------------------|
 | 2     3     7     | 6     149   459   | 8     159   14    |
 | 148   5     1489  | 179   2     479   | 79    3     6     |
 | 14    6     149   | 1579  3     8     | 2     159   147   |
 *-----------------------------------------------------------*


I had another three step solution then reduced it to two steps

xy-wing (79-8)r1c72+r3c8; r1c9,r3c12<>8

AUR(47)r34c12 SIS r3c1=6, r4c12=8
(9=6)r3c5-AUR (47)r34c12[(6)r3c1=(8)r4c12]-r4c8=(8-9)r3c8=r1c7; r1c6,r3c8<>9

(4)r9c1=(4)r9c9-r7c9=r7c5-r6c5=r6c3; r8c3<>4

Note that xy-wing is not necessary:
AUR(47)r34c12 SIS r3c1=6, r34c12=8; r1c6,r3c8<>9
(6)r3c1-(6=9)r3c5
||
(8)r3c12-(8=7=9)r1c27
||
(8)r4c12-r4c8=(8-9)r3c8=r1c7

Ted
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