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Set H12 Puzzle 1

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Tue Dec 16, 2008 7:52 pm    Post subject: Set H12 Puzzle 1 Reply with quote
You'd think, after 52 cells being resolved by Givens and Singles, that a puzzle wouldn't be too difficult if it didn't need chains. Yeah, right!

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

Play this puzzle online at the Daily Sudoku site

Now, I bet you are looking forward to my posting from Set G again. Very Happy
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Tue Dec 16, 2008 11:08 pm    Post subject: Reply with quote
Lots of grunt work, but not real difficult. And yes, I did count 52 solved cells after basics.

Quote:
There was a worthless XY-Wing on 453 after the first of six ERs. But they exposed a puzzle-ending W-Wing on 14
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed Dec 17, 2008 1:34 am    Post subject: Reply with quote
Code:
.---------------------.---------------------.---------------------.
| 1456   7      356   | 2      8      9     | 13456  356    14    |
| 456    8      356   | 7      3456   1     | 3456   9      2     |
| 2      134    9     | 345    3456   45    | 13456  8      7     |
:---------------------+---------------------+---------------------:
| 8      9      1     | 6      45     45    | 2      7      3     |
| 7      6      2     | 1      9      3     | 8      4      5     |
| 3      5      4     | 8      7      2     | 9      1      6     |
:---------------------+---------------------+---------------------:
| 9      134    356   | 345    2      7     | 13456  356    8     |
| 1456   134    7     | 9      345    8     | 13456  2      14    |
| 45     2      8     | 345    1      6     | 7      35     9     |
'---------------------'---------------------'---------------------'

Quote:
1. x-wing on 1
2. ER 4... (4)r9c4 = (4)r9c1 - (4)r12c1 = (4)r3c2; r3c4 <> 4
3. (4,5) w-wing extended... (5=4)r9c1 - (4)r12c1 = (4)r3c2 - (4=5)r3c6 - (5)r4c6 = (5)r4c5 - (5=3)r8c5 - (3)r9c4 = (3)r9c8; r9c8 <> 5
4. ER 3... (3)r8c2 = (3)r8c5 - (3)r23c5 = (3)r3c4; r3c2 <> 3
5. xy-wing (3,4,5)... (5=4)r9c1 - (4=3)r8c2 - (3=5)r8c5; r8c1 and r9c4 <> 5
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