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Vanhegan Fiendish

 
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun Feb 13, 2011 8:30 pm    Post subject: Vanhegan Fiendish Reply with quote
Puzzle 5-1212307, rated 2.4.0.2.

I am hopelessly stuck, having been unable to make a single move.

Code:

+---------------+--------------+--------------+
| 159  7    4   | 189  2   6   | 589 3    158 |
| 6    3    19  | 1489 14  5   | 289 129  7   |
| 2    8    159 | 3    7   19  | 6   159  4   |
+---------------+--------------+--------------+
| 8    1569 7   | 15   3   4   | 59  1569 2   |
| 15   4    156 | 29   156 29  | 7   8    3   |
| 3    1569 2   | 7    156 8   | 4   1569 156 |
+---------------+--------------+--------------+
| 157  156  3   | 125  9   127 | 258 4    568 |
| 1457 15   8   | 6    145 127 | 3   25   9   |
| 459  2    569 | 45   8   3   | 1   7    56  |
+---------------+--------------+--------------+

Play this puzzle online at the Daily Sudoku site
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada
PostPosted: Sun Feb 13, 2011 9:40 pm    Post subject: Reply with quote
I wish I was more cleverer. There are TWENTY 1569' s all joined together. That has to lead to a relevant solution.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Mon Feb 14, 2011 2:38 am    Post subject: Reply with quote
wow.


Code:
+-----------------+----------------------+-------------------+
| 159   7     4   | 189      2     6     | 589    3      158 |
| 6     3     19  | 9-14(8)  (14)  5     | 9(28)  19(2)  7   |
| 2     8     159 | 3        7     (19)  | 6      159    4   |
+-----------------+----------------------+-------------------+
| 8     1569  7   | 15       3     4     | 59     1569   2   |
| 15    4     156 | 29       156   (29)  | 7      8      3   |
| 3     1569  2   | 7        156   8     | 4      1569   15  |
+-----------------+----------------------+-------------------+
| 157   156   3   | 125      9     127   | 258    4      568 |
| 1457  15    8   | 6        145   17(2) | 3      5(2)   9   |
| 459   2     569 | 45       8     3     | 1      7      56  |
+-----------------+----------------------+-------------------+

#1...(4=1)r2c5 - (1=9)r3c6 - (9=2)r5c6 - (2)r8c6 = (2)r8c8 - (2)r2c8 = (2-8)r2c7 = (8)r2c4; r2c4 <> 1,4

that puts a dent in things.

#2... xy-wing {159} removes 9 from r1c7



Code:
+-----------------+---------------+--------------+
| 159  7     4    | 19   2     6  | 58  3    158 |
| 6    3     19   | 8    4     5  | 2   19   7   |
| 2    8     159  | 3    7     19 | 6   159  4   |
+-----------------+---------------+--------------+
| 8    (56)  7    | 15   3     4  | 9   156  2   |
| 15   4     15-6 | 29   (56)  29 | 7   8    3   |
| 3    9     2    | 7    156   8  | 4   156  15  |
+-----------------+---------------+--------------+
| 7    156   3    | 125  9     12 | 58  4    568 |
| 4    1(5)  8    | 6    1(5)  7  | 3   2    9   |
| 59   2     569  | 4    8     3  | 1   7    56  |
+-----------------+---------------+--------------+


#3... w-wing {56} removes 6 from r5c3
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Mon Feb 14, 2011 10:03 pm    Post subject: Reply with quote
An alternative opening move is this m-wing using an als or "pseudocell" (49) ...
Code:
m-wing(49) als(41=9)r2c53 - r9c3=(9-4)r9c1=r9c4 ; r2c4<>4, r8c5<>4
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