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Vanhegan extreme

 
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Marty R.



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

PostPosted: Thu May 07, 2009 5:31 pm    Post subject: Vanhegan extreme Reply with quote

This is puzzle #6-283136, rated 1.2.0.1.1. I can't even make a single move. I wonder what I missed.

Code:

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu May 07, 2009 8:42 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 1      268    4     | 269    5      289   | 23     389    7     |
| 3568   9      238   | 126    1278   1278  | 25     4      258   |
| 58     258    7     | 4      289    3     | 6      589    1     |
:---------------------+---------------------+---------------------:
| 3678   1678   5     | 129    4      1279  | 1237   13678  238   |
| 2      4      13    | 8      17     6     | 1357   1357   9     |
| 678    1678   9     | 125    3      1257  | 4      1678   28    |
:---------------------+---------------------+---------------------:
| 4      1258   6     | 7      128    1258  | 9      135    35    |
| 578    3      18    | 159    189    4     | 157    2      6     |
| 9      1257   12    | 3      6      125   | 8      157    4     |
'---------------------'---------------------'---------------------'

I managed to find these two to start things off with.
(2=5)r2c7 - (5)r2c9 = (5-3)r7c9 = (3)r7c8 - (3)r1c8 = (3)r1c7; r1c7 <> 2
(8=3)r2c3 - (3)r5c3 = (3)r5c8 - (3)r7c8 = (3-5)r7c9 = (5)r2c9; r2c9 <> 8

leaves this grid.
Code:
.------------------.------------------.------------------.
| 1     268   4    | 269   5     289  | 3     89    7    |
| 368   9     38   | 16    178   178  | 25    4     25   |
| 58    258   7    | 4     289   3    | 6     89    1    |
:------------------+------------------+------------------:
| 3678  1678  5    | 129   4     1279 | 127   1367  238  |
| 2     4     13   | 8     17    6    | 157   1357  9    |
| 678   1678  9    | 125   3     1257 | 4     167   28   |
:------------------+------------------+------------------:
| 4     158   6    | 7     128   1258 | 9     135   35   |
| 578   3     18   | 159   189   4    | 157   2     6    |
| 9     157   2    | 3     6     15   | 8     157   4    |
'------------------'------------------'------------------'
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu May 07, 2009 10:44 pm    Post subject: Reply with quote

It's solvable with fish and fundamental chains, but the solution is ugly and lengthy. There's probably an ALS -- which I consider to be a network technique -- that makes an important elimination and shortens the solution.
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Marty R.



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

PostPosted: Fri May 08, 2009 1:13 am    Post subject: Reply with quote

Thanks. This seems unusually difficult for one of these.
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