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nightmare...or not??

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed Feb 06, 2008 4:49 am    Post subject: nightmare...or not?? Reply with quote
Code:
. . 4 | 7 . 5 | 3 . .
. . 9 | . . . | 5 . .
1 5 . | . . . | . 2 8
-------------------
4 . . | . 9 . | . . 2
. . . | 4 5 6 | . . .
6 . . | . 7 . | . . 5
-------------------
3 7 . | . . . | . 8 4
. . 8 | . . . | 2 . .
. . 6 | 1 . 8 | 9 . .



I count 5 advanced steps that can be used to kill it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Wed Feb 06, 2008 5:57 pm    Post subject: Reply with quote
I wouldn't call it a nightmare, but it was fun. I also used five steps. X-Wing on 6, Type 2 rectangle on 19, ER on 1, and an XYZ-Wing on 139-19-39 which got me here:

Code:

+----------+----------+------------+
| 2 6   4  | 7  8  5  | 3   19  19 |
| 8 3   9  | 26 1  24 | 5   47  67 |
| 1 5   7  | 9  36 34 | 46  2   8  |
+----------+----------+------------+
| 4 18  5  | 38 9  13 | 7   6   2  |
| 7 128 12 | 4  5  6  | 18  139 39 |
| 6 9   3  | 28 7  12 | 148 14  5  |
+----------+----------+------------+
| 3 7   12 | 5  26 9  | 16  8   4  |
| 9 14  8  | 36 34 7  | 2   5   16 |
| 5 24  6  | 1  24 8  | 9   37  37 |
+----------+----------+------------+

Play this puzzle online at the Daily Sudoku site

This is now a BUG+3 pattern, with the trivalue cells in boxes 4 and 6. In all three cells the candidate that kills the bug is 1. R5c7 sees all three of those 1s, so removing the 1 from that cell solves the puzzle. I've done BUG+3 before, but this is the first that I can recall where one cell saw all three bug killers.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
PostPosted: Thu Feb 07, 2008 8:46 am    Post subject: Reply with quote
Not a nightmare, maybe a vampire (some of those vampires are quite beautiful and probably lots of fun to hang around with) ?

I started coloring when I ran out of basics here:
Code:

+--------------------------+--------------------------+--------------------------+
| 28      268     4        | 7       18      5        | 3       169     169      |
| 78      368     9        | 236     18      234      | 5       1467    167      |
| 1       5       37       | 9       36      34       | 467     2       8        |
+--------------------------+--------------------------+--------------------------+
| 4       138     5        | 38      9       13       | 67      67      2        |
| 2789    12389   1237     | 4       5       6        | 18      139     139      |
| 6       1389    13       | 238     7       123      | 148     1349    5        |
+--------------------------+--------------------------+--------------------------+
| 3       7       12       | 5       26      9        | 16      8       4        |
| 59      149     8        | 36      346     7        | 2       1356    136      |
| 25      24      6        | 1       234     8        | 9       357     37       |
+--------------------------+--------------------------+--------------------------+


Not only does the x-wing remove 6 from r4c7 and r8c5, but other eliminations remove 6 from r1c8, r2c8 and r8c8 as well.

Maybe that's why there were no more advanced moves until I came to this position:

Code:

+--------------------------+--------------------------+--------------------------+
| 2       6       4        | 7       8       5        | 3       19      19       |
| 8       3       9        | 26      1       24       | 5       47      67       |
| 1       5       7        | 9       36      34       | 46      2       8        |
+--------------------------+--------------------------+--------------------------+
| 4       18      5        | 38      9       13       | 7       6       2        |
| 7       1289    123      | 4       5       6        | 18      139     139      |
| 6       189     13       | 28      7       12       | 148     1349    5        |
+--------------------------+--------------------------+--------------------------+
| 3       7       12       | 5       26      9        | 16      8       4        |
| 9       14      8        | 36      34      7        | 2       5       16       |
| 5       24      6        | 1       24      8        | 9       37      37       |
+--------------------------+--------------------------+--------------------------+

There is a short xy-chain '18' - '83' -'36' -'61' (r4c2,r4c4,r8c4,r8c9), which kills the "1" in r8c2. Singles till the end.
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Thu Feb 07, 2008 8:53 pm    Post subject: Reply with quote
Yes... I noticed yesterday that this was easier than the typical Nightmare. Only 4 steps required for me, starting also with the <6> X Wing and the {19} UR. Then, a Finned X Wing on <1> in c37 (more effective than the ER) and a {124} XY Wing with Pivot r6c6.
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