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Twisty

 
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.

PostPosted: Mon Apr 18, 2011 1:54 am    Post subject: Twisty Reply with quote

This one has a long path, for me.

Code:
. . 1|. . .|. 5 4
. . .|. . 8|. . 9
9 . .|4 . .|. 2 7
-----+-----+-----
. . .|. . 3|6 1 .
. . .|. 8 .|. . .
. 5 4|1 . .|. . .
-----+-----+-----
5 9 .|. . 7|. . 1
4 . .|3 . .|. . .
2 6 .|. . .|7 . .
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Mon Apr 18, 2011 6:04 pm    Post subject: Reply with quote

I had to hack away at this before it mercifully came to an end.

XY-Wing
Type 1 UR
Multi-coloring
W-Wing
Coloring
ER
XY-Chain
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tlanglet



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

PostPosted: Mon Apr 18, 2011 8:16 pm    Post subject: Reply with quote

A fun three step solution..........

#1: AUR(37)r12c15 external sis: r6c1=3,r6c5=7; r6c9<>3, r2c5<>7, r6c1<>7
#2: Type 1 UR(38)r13c27; r1c2<>38 which opens a
#3: axy-wing(27-3) vertex (27)r1c2 with fin (7)r5c2; r3c2<>3
If fin is true: (7)r5c2-(7=8)r4c1-r4c2=(8)r3c2;

Ted
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Mon Apr 18, 2011 8:39 pm    Post subject: Reply with quote

There's a nice anp/xy-chain that cracks it...
Code:
anp(26=7)r76c6 - (7=3)r6c8 - (3=4)r7c8 - (4=2)r7c7 - (2=6)r7c5 ; r13c5<>6
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Mon Apr 18, 2011 10:34 pm    Post subject: Reply with quote

From reducing my solver's solution: two-stepper

Code:
 +-----------------------------------------------------------------------+
 |  3678   2378   1      |  2679   23679  269    |  38     5      4      |
 |  37     4      25     |  257    2357   8      |  1      6      9      |
 |  9      38     56     |  4      56     1      |  38     2      7      |
 |-----------------------+-----------------------+-----------------------|
 |  78     278    29     |  2579   4      3      |  6      1      258    |
 |  1      237    269    |  25679  8      2569   |  45     347    235    |
 |  3678   5      4      |  1      267    26     |  9      37     238    |
 |-----------------------+-----------------------+-----------------------|
 |  5      9      38     |  268    26     7      |  24     34     1      |
 |  4      1      7      |  3      259    259    |  25     8      6      |
 |  2      6      38     |  58     1      4      |  7      9      35     |
 +-----------------------------------------------------------------------+
 # 75 eliminations remain

extraneous: X-Wing, XY-Wing, XYZ-Wing, UR Type 1

 r3c1    2-String Kite                   <> 6    r6c5

 +-----------------------------------------------------------------------+
 | c3678   2378   1      |  2679   23679  269    |  38     5      4      |
 |  37     4      25     |  257    2357   8      |  1      6      9      |
 |  9      38    d56     |  4     e56     1      |  38     2      7      |
 |-----------------------+-----------------------+-----------------------|
 |  78     278    29     |  2579   4      3      |  6      1      258    |
 |  1      237    269    |  25679  8      2569   |  45     347    235    |
 | b3678   5      4      |  1      7-2   a26     |  9      37     238    |
 |-----------------------+-----------------------+-----------------------|
 |  5      9      38     |  268   f26     7      |  24     34     1      |
 |  4      1      7      |  3      259    59-2   |  25     8      6      |
 |  2      6      38     |  58     1      4      |  7      9      35     |
 +-----------------------------------------------------------------------+
 # 74 eliminations remain

W-Wing: (2=6)r6c6 - r6c1 = r1c1 - r3c3 = r3c5 - (6=2)r7c5  =>  r6c5,r8c6<>2

The same cells and value used for the Kite are also used by the W-Wing. In fact, this could be considered a single-stepper if you include the elimination from the embedded Kite among the eliminations for the W-Wing.
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