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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sat Jun 16, 2007 1:47 pm Post subject: DB Saturday Puzzle: June 16, 2007 |
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Code: | Puzzle: DB061607 ******
+-------+-------+-------+
| . 6 . | . . 5 | 2 . . |
| . 8 . | 4 . . | 7 . . |
| . . . | . . . | . 1 8 |
+-------+-------+-------+
| . . 1 | 6 7 . | . . . |
| 9 7 . | . . . | . 5 2 |
| . . . | . 5 4 | 1 . . |
+-------+-------+-------+
| 7 4 . | . . . | . . . |
| . . 8 | . . 3 | . 9 . |
| . . 2 | 8 . . | . 3 . |
+-------+-------+-------+ |
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TKiel
Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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Posted: Sat Jun 16, 2007 4:08 pm Post subject: |
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Not one of his more challenging ones. |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sat Jun 16, 2007 5:50 pm Post subject: |
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If Tracy finds it not challenging, that is a clue!
Welcome back!
Keith |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Jun 16, 2007 9:08 pm Post subject: |
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Hey Tracy, nice to see your name again. |
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Ruud
Joined: 18 Jan 2006 Posts: 31
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Posted: Sun Jun 17, 2007 12:14 pm Post subject: |
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Even though it does not really advance the puzzle (you still need the skyscraper to break it), I found a nice BUG-Lite type 3 in this puzzle:
Code: | .---------------.----------------.---------------.
| 13 6 7 | 139 8 5 | 2 4 39 |
| 123 8 9 | 4 &123 12 | 7 6 5 |
| 4 23 5 | 237 69-23 2679| 39 1 8 |
:---------------+----------------+---------------:
| 23 5 1 | 6 7 29 | 39 8 4 |
| 9 7 4 | 13 &13 8 | 6 5 2 |
| 8 23 6 | 29 5 4 | 1 7 39 |
:---------------+----------------+---------------:
| 7 4 3 | 5 69-1 169 | 8 2 16 |
|#56 1 8 | 27 #246 3 |#45 9 67 |
|#56 9 2 | 8 #146 167 |#45 3 167 |
'---------------'----------------'---------------' |
To avoid the deadly 56-46-45 pattern in rows 89, you need 1 or 2 in r89c5. These form a locked set with r25c5, eliminating {123} from the remainder of column 5.
This move makes the puzzle a lot more interesting
Ruud |
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Steve R
Joined: 24 Oct 2005 Posts: 289 Location: Birmingham, England
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Posted: Sun Jun 17, 2007 2:57 pm Post subject: |
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Interesting point, Ruud, though, as you say, not immediately productive. This is the diagram position again:
Code: | .---------------.----------------.---------------.
| 13 6 7 | 139 8 5 | 2 4 3-9 |
| 123 8 9 | 4 123 12 | 7 6 5 |
| 4 23 5 | 237 2369 2679| 39* 1 8 |
:---------------+----------------+---------------:
| 23 5 1 | 6 7 29 | 3-9 8 4 |
| 9 7 4 | 13 13 8 | 6 5 2 |
| 8 23 6 | 29 5 4 | 1 7 39* |
:---------------+----------------+---------------:
| 7 4 3 | 5 169 169 | 8 2 16 |
| 56 1 8 | 27 246 3 | 45 9 67 |
| 56 9 2 | 8 146 167 | 45 3 167 |
'---------------'----------------'---------------' |
For the time being I seem to be on the lookout for W-Wings before anything else. Here the cells with candidates (39) in boxes 3 and 6 caught my eye. As it happens, two of them (in r3c7 and r6c9) are linked by the conjugates for 3 in the second column.
So one of these two cells contains 9 and the eliminations from r4c7 and r1c9 solve the puzzle at once.
Steve |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sun Jun 17, 2007 7:59 pm Post subject: |
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Basic methods get you to here:
Code: |
+----------------+-----------------+----------------+
| 13 6 7 | 139@ 8 5 | 2 4 39@ |
| 123 8 9 | 4 123% 12 | 7 6 5 |
| 4 23B 5 | 2379# 2369 2679$| 39 1 8 |
+----------------+-----------------+----------------+
| 23 5 1 | 6 7 29A | 39 8 4 |
| 9 7 4 | 13 13 8 | 6 5 2 |
| 8 23b 6 | 29@a 5 4 | 1 7 39@ |
+----------------+-----------------+----------------+
| 7 4 3 | 5 169 169 | 8 2 16 |
| 56 1 8 | 27 246 3 | 45 9 67 |
| 56 9 2 | 8 146 167 | 45 3 167 |
+----------------+-----------------+----------------+
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There is an X-wing on <9>, labelled @. It takes out <9> from the cell marked #.
The fork (skyscraper, coloring, turbot fish) is composed of two strong links on <2>, marked aA and bB. One of a or b must be false; one of A or B must be true. This takes out <2> from the cell marked $. This reveals an X-wing on <2> in C16, which takes out <2> from %.
This solves the puzzle.
Keith |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Tue Jun 19, 2007 9:39 pm Post subject: Well-Skinned Cat |
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Alternately...
Finned X-Wing on <2> in R2 and R4 (fin is R2C5) eliminates the <2> in R3C6 ($). Then, Swordfish in R3, R6 and R8 takes care of R2C5 (%). |
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TKiel
Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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Posted: Wed Jun 20, 2007 12:56 am Post subject: |
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Alternately...
Code: |
*--------------------------------------------------------------------*
| 13 6 79 | 1379 8 5 | 2 4 39 |
| 123 8 59 | 4 1239 129 | 7 6 359 |
| 4 23B 579 | 2379 2369 2679 | 359A 1 8 |
|----------------------+----------------------+----------------------|
| 23B 5 1 | 6 7 29 | 349a 8 349 |
| 9 7 4 | 13 13 8 | 6 5 2 |
| 8 23b 6 | 29 5 4 | 1 7 39 |
|----------------------+----------------------+----------------------|
| 7 4 3 | 159 169 169 | 8 2 156 |
| 56 1 8 | 257 246 3 | 45 9 4567 |
| 56 9 2 | 8 146 167 | 45 3 14567 |
*--------------------------------------------------------------------*
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Coloring two chains on <3> shows both ends of the A-a chain sharing a row with a B from the other chain, which must be false. |
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Ruud
Joined: 18 Jan 2006 Posts: 31
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Posted: Wed Jun 20, 2007 2:12 am Post subject: |
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Alternately...
Code: | .---------------.---------------.---------------.
|-13 6 7 | 139 8 5 | 2 4 *39 |
| 123 8 9 | 4 123 12 | 7 6 5 |
| 4 *23 5 | 237 2369 2679|-39 1 8 |
:---------------+---------------+---------------:
| 23 5 1 | 6 7 29 | 39 8 4 |
| 9 7 4 | 13 13 8 | 6 5 2 |
| 8 *23 6 | 29 5 4 | 1 7 *39 |
:---------------+---------------+---------------:
| 7 4 3 | 5 169 169 | 8 2 16 |
| 56 1 8 | 27 246 3 | 45 9 67 |
| 56 9 2 | 8 146 167 | 45 3 167 |
'---------------'---------------'---------------' |
XY-chain: r3c2 - r6c2 - r6c9 - c1c9 eliminates 3 from r1c1 & r3c7.
Alternately...
ER on digit 2 in row 4 and box 1 eliminates 2 from r3c6, followed by an X-wing in r2 & r4 and a naked pair {13} in column 5. A longer road, but more things to see and do
Ruud |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Wed Jun 20, 2007 8:01 am Post subject: |
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......and of course in Ruud's lovely example you will see that the XY chain is also a skyscraper on 3's. |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Wed Jun 20, 2007 9:10 am Post subject: Scenic Route |
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An ER: Cool! |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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