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Vanhegan extreme

 
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Marty R.



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

PostPosted: Wed Sep 21, 2011 1:18 am    Post subject: Vanhegan extreme Reply with quote

I can't find a happy medium at Vanhegan; the Fiendish are easy, the Extreme are generally too hard. This is puzzle 6-1431830, rated 2.0.0.1.1. After a useless ER and XY-Chain I'm stuck. There are a few flightless wings in which I can't see a transport.

Code:

+--------------+----------------+---------------+
| 1   4   568  | 2356  238 2568 | 7    368  9   |
| 2   3   689  | 469   7   489  | 5    1    68  |
| 58  569 7    | 13569 138 589  | 38   4    2   |
+--------------+----------------+---------------+
| 7   56  3568 | 26    4   1    | 2389 3589 58  |
| 9   2   4    | 8     5   3    | 6    7    1   |
| 358 1   3568 | 7     9   26   | 238  358  4   |
+--------------+----------------+---------------+
| 4   7   359  | 2359  238 2589 | 1    5689 568 |
| 35  8   1    | 3459  6   459  | 49   2    7   |
| 6   59  2    | 1459  18  7    | 489  589  3   |
+--------------+----------------+---------------+

Play this puzzle online at the Daily Sudoku site
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Wed Sep 21, 2011 1:44 am    Post subject: Reply with quote

Marty,

Based on what Sudoku Susser says, this is too extreme for me.

Keith
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Marty R.



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

PostPosted: Wed Sep 21, 2011 3:48 am    Post subject: Reply with quote

keith wrote:
Marty,

Based on what Sudoku Susser says, this is too extreme for me.

Keith

In that case, then I don't feel too badly.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Sep 21, 2011 7:17 am    Post subject: Reply with quote

My solver's default solution used two chains and numerous additional steps. Nothing friendly. However, an analysis pass discovered there was a SIN that cracked the puzzle at this point. I converted it into something semi-understandable.

Code:
 +-----------------------------------------------------------------------+
 |  1      4      568    |  2356   238    2568   |  7      368    9      |
 |  2      3      689    |  469    7      489    |  5      1      68     |
 |  58     569    7      |  13569  138    589    |  38     4      2      |
 |-----------------------+-----------------------+-----------------------|
 |  7      56     3568   |  26     4      1      |  2389   3589   58     |
 |  9      2      4      |  8      5      3      |  6      7      1      |
 |  358    1      3568   |  7      9      26     |  238    358    4      |
 |-----------------------+-----------------------+-----------------------|
 |  4      7      359    |  2359   238    2589   |  1      5689   568    |
 |  35     8      1      |  3459   6      459    |  49     2      7      |
 |  6      59     2      |  1459   18     7      |  489    589    3      |
 +-----------------------------------------------------------------------+
 # 84 eliminations remain

(1=38)r3c57-(8=5)r3c1-(5)r1c3= finned X-Wing c39\r47 -(5=6)r4c2-r3c2=(6)r3c4  =>  r3c4<>1
_________________________________________________________________________________________


Regards, Danny
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susume



Joined: 13 May 2011
Posts: 36
Location: Southeastern US

PostPosted: Fri Sep 23, 2011 2:37 am    Post subject: Reply with quote

It certainly wasn't "friendly." I managed it with three Nice Loops and an X chain, which I append here not for any claim to beauty, but in case anyone has a bad case of insomnia:
Code:
Continuous Nice Loop:  (1)r3c4 = r9c4 -(1=8)r9c5 - r9c78 =(86-5)r7c89 = r4c9 -(5=6)r4c2 - r3c2 =(6)r3c4;  r3c4<>359, r4c38<>5
(6)r3c2 =(6-1)r3c4 = r9c4 -(1=8)r9c5 - r9c78 =(86-5)r7c89 =(5)r9c8 -(5=9)r9c2 -(9)r3c2;  r3c2<>9
(4)r2c4 =(4-8)r2c6 = r2c9 -(8=5)r4c9 -(5=6)r4c2 - r3c2 = r3c4 -(6)r2c4; r2c4<>6=4
(5)r7c3 = r8c1 - r3c1 = r3c2 - r4c2 = r4c9; r7c9<>5
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Sat Sep 24, 2011 2:14 am    Post subject: Reply with quote

SS says:

4 x Comprehensive Forcing Chains
5 x Simple Forcing Chains
1 x XY-Wing
1 x Intersection Removal
4 x Pinned Squares

Out of my league. In my opinion.

Keith
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