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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Sep 11, 2009 3:34 pm    Post subject: What next? Reply with quote
This is a Vanhegan Fiendish, #5-1574367, rated 2.4.1.2. After three ERs, a Hidden UR and coloring on 8 I hit the brick wall.

Any moves available for someone who's not into AICs, ALS's, etc?

Code:

+------------+-------------+-----------------+
| 789 2   3  | 6   19 489  | 14789 5    4789 |
| 1   89  4  | 3   5  7    | 89    2    6    |
| 789 6   5  | 48  2  1489 | 3     1479 4789 |
+------------+-------------+-----------------+
| 6   14  89 | 7   3  149  | 5     48   2    |
| 5   147 89 | 14  19 2    | 4678  4678 3    |
| 3   47  2  | 5   8  6    | 479   479  1    |
+------------+-------------+-----------------+
| 289 5   1  | 28  4  3    | 679   6789 789  |
| 4   3   7  | 9   6  18   | 2     18   5    |
| 29  89  6  | 128 7  5    | 1489  3    489  |
+------------+-------------+-----------------+

Play this puzzle online at the Daily Sudoku site
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Sep 11, 2009 3:55 pm    Post subject: Reply with quote
With your constraints:

Code:
 +-----------------------------------------------------------------------+
 |  789    2      3      |  6      19     489    |  14789  5      4789   |
 |  1      89     4      |  3      5      7      |  89     2      6      |
 |  789    6      5      |  48     2      1489   |  3      1479   4789   |
 |-----------------------+-----------------------+-----------------------|
 |  6      14     89     |  7      3      149    |  5      48     2      |
 |  5      147    89     |  14     19     2      |  4678   4678   3      |
 |  3      47     2      |  5      8      6      |  479    479    1      |
 |-----------------------+-----------------------+-----------------------|
 |  289    5      1      |  28     4      3      |  679    6789   789    |
 |  4      3      7      |  9      6      18     |  2      18     5      |
 |  29     89     6      |  128    7      5      |  1489   3      489    |
 +-----------------------------------------------------------------------+
 # 68 eliminations remain

Code:
 r38     X-Wing                          <> 1    r4c6

         XYZ-Wing [r1c6]/[r3c4]+[r4c6]   <> 4    r3c6

 r4  b2  turbot fish/ER                  <> 4    r3c8

   c8b6  Locked Candidate 2              <> 4    r56c7

   c7    Naked  Quad                     <> 6789 r19c7

   c2b3  Empty Rectangle                 <> 8    r9c9

Code:
 +--------------------------------------------------------------+
 |  789   2     3     |  6     19    489   |  14    5     4789  |
 |  1     89    4     |  3     5     7     |  89    2     6     |
 |  789   6     5     |  48    2     189   |  3     179   4789  |
 |--------------------+--------------------+--------------------|
 |  6     1     89    |  7     3     49    |  5     48    2     |
 |  5     47    89    |  14    19    2     |  678   4678  3     |
 |  3     47    2     |  5     8     6     |  79    479   1     |
 |--------------------+--------------------+--------------------|
 |  289   5     1     |  28    4     3     |  679   6789  789   |
 |  4     3     7     |  9     6     18    |  2     18    5     |
 |  29    89    6     |  128   7     5     |  14    3     49    |
 +--------------------------------------------------------------+
 # 55 eliminations remain

Final Step wrote:
An XY-Chain or a long gM-Wing with grouped cells now cracks it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Sep 11, 2009 4:32 pm    Post subject: Reply with quote
Thanks Danny. Despite the fact that I looked at every row and column for X-Wings, I just flat-out missed the one you pointed out. Evil or Very Mad Embarassed
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Fri Sep 11, 2009 7:10 pm    Post subject: Reply with quote
I used five steps to complete the puzzle including extensions on a w-wing; never determined if all were necessary.

x-wing on 1 (as noted by Danny),

sashimi x-wing 4 in r14c68 deletes 4 in r3c8,

Type 4 UR 47 in r56c28 with strong link on 4 in row6 deletes 7 in r5c8,

w-wing 48 in r3c4 and r4c8 with a grouped(?) strong link 4 in row5:
r5c2=4 => r6c2<>4 =>r6c8=4 => r4c8=8,
r5c4=4 => r3c4=8
r5c8=4 => r4c8=8
This is a useless w-wing but by extending the 8 in r4c8 we find gold: r4c8=8 => r8c8<>8 => r8c6=8; thus, r13c6<>8,

after cleanup, a BUG+1 condition sets r7c9=8 and completes the puzzle.

I am assuming that my extensions satisfy Marty's conditions.

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Sep 11, 2009 9:25 pm    Post subject: Reply with quote
Quote:
I am assuming that my extensions satisfy Marty's conditions.

Extensions (I call them transports) do, Sashimis don't. Laughing
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