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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Fri Jul 11, 2008 8:02 pm Post subject: LA Times / Freep - July 11, 2008 |
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| Code: | Puzzle: FP071108
+-------+-------+-------+
| . . . | . 4 9 | . 6 . |
| . . 4 | . 3 . | . . . |
| . 5 6 | . . . | . 2 . |
+-------+-------+-------+
| 9 . . | 8 7 . | . . . |
| . . . | 3 . 5 | . . . |
| 7 . . | . 9 1 | 8 . 5 |
+-------+-------+-------+
| . 2 . | . . . | 9 4 . |
| . . . | . . . | 1 . . |
| . 8 . | 4 1 . | . . . |
+-------+-------+-------+ |
There is a UR which is of no help.
Keith |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Fri Jul 11, 2008 8:24 pm Post subject: Free July 11 |
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But a W-wing unlocks it.
Earl |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Fri Jul 11, 2008 8:26 pm Post subject: |
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The UR is of no help. A W-wing solves it as does a 4-cell ALS.  |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Fri Jul 11, 2008 8:35 pm Post subject: |
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w-wing (56 boxes 7,8; strong link on 5 in r7)
or: generalized xy-wing pincers 16,13 connected by (67-73) in row 8
| Code: |
+--------------------------+--------------------------+--------------------------+
| 2 17 178 | 5 4 9 | 3 6 18 |
| 18 9 4 | 2 3 6 | 5 78 178 |
| 3 5 6 | 1 8 7 | 4 2 9 |
+--------------------------+--------------------------+--------------------------+
| 9 3 5 | 8 7 4 | 26 1 26 |
| 168 16* -18 | 3 2 5 | 7 9 4 |
| 7 4 2 | 6 9 1 | 8 3 5 |
+--------------------------+--------------------------+--------------------------+
| 156 2 13* | 7 56 38 | 9 4 368 |
| 4 67# 37# | 9 56w 238 | 1 58 2368 |
| 56w 8 9 | 4 1 23 | 26 57 2367 |
+--------------------------+--------------------------+--------------------------+
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Fri Jul 11, 2008 9:06 pm Post subject: |
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I used the W-wing <18> connected by the strong link on <1> in C2. Causes a pair <17> in R1.
Keith |
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Myth Jellies
Joined: 27 Jun 2006
Posts: 64
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| Posted: Sat Jul 12, 2008 8:16 am Post subject: |
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| Code: | *-----------*
|...|.49|.6.|
|..4|.3.|...|
|.56|...|.2.|
|---+---+---|
|9..|87.|...|
|...|3.5|...|
|7..|.91|8.5|
|---+---+---|
|.2.|...|94.|
|...|...|1..|
|.8.|41.|...|
*-----------*
*-----------------------------------------------------------*
| 2 17 178 | 5 4 9 | 3 6 18 |
| 18 9 4 | 2 3 6 | 5 78 178 |
| 3 5 6 | 1 8 7 | 4 2 9 |
|-------------------+-------------------+-------------------|
| 9 3 5 | 8 7 4 | 26 1 26 |
| 168 16 18 | 3 2 5 | 7 9 4 |
| 7 4 2 | 6 9 1 | 8 3 5 |
|-------------------+-------------------+-------------------|
| 156 2 13 | 7 56 38+ | 9 4 38+6 |
| 4 67 37 | 9 56 238+ | 1 58 238+6 |
| 56 8 9 | 4 1 23+ | 26 57 23+67 |
*-----------------------------------------------------------* |
The 26-UR in r49c79 is not entirely useless. It will eliminate both the 2 & 6 from r9c9. Combine that with the 238-MUG in r789c69 which implies that either r9c9 equals 7, or the ALS in r9c67 equals 2&3. Either way, the MUG/ALS tells you that you can eliminate 2 & 3 as candidates from r9c9. Combine the MUG/ALS with the UR deduction and it must be true that r9c9 equals 7 which solves the puzzle.
In Eureka notation, the MUG deduction can be written...
(MUG:238#6)r789c69 (read this as six instances of the values 238 are true in these cells)
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(6)r789c9 - (ALS:6=2&3)r9c67
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(7)r9c9 |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Sat Jul 12, 2008 12:19 pm Post subject: |
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If you don't mind ALS this is easier.
ALS. "#" marks one ALS, "@" marks the other.
| Code: | .------------------.------------------.------------------.
| 2 #17 178 | 5 4 9 | 3 6 18 |
| 8-1 9 4 | 2 3 6 | 5 78 178 |
| 3 5 6 | 1 8 7 | 4 2 9 |
:------------------+------------------+------------------:
| 9 3 5 | 8 7 4 | 26 1 26 |
| 168 16 18 | 3 2 5 | 7 9 4 |
| 7 4 2 | 6 9 1 | 8 3 5 |
:------------------+------------------+------------------:
|@156 2 13 | 7 56 38 | 9 4 368 |
| 4 @67 37 | 9 56 238 | 1 58 2368 |
|@56 8 9 | 4 1 23 | 26 57 2367 |
'------------------'------------------'------------------' |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Sat Jul 12, 2008 4:02 pm Post subject: |
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| wapati wrote: | If you don't mind ALS this is easier.
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easier than the w-wing? gimme a break  |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Sat Jul 12, 2008 4:53 pm Post subject: |
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| nataraj wrote: | | wapati wrote: | If you don't mind ALS this is easier.
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easier than the w-wing? gimme a break |
Easier than Myth Jellies solution, as interesting as it is!  |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Sat Jul 12, 2008 7:46 pm Post subject: |
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... so, then wouldn't the w-wing be easier than the ALS, as interesting as it is?
(grins like the cat that got the cream) |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Sat Jul 12, 2008 9:35 pm Post subject: |
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| nataraj wrote: | ... so, then wouldn't the w-wing be easier than the ALS, as interesting as it is?
(grins like the cat that got the cream) |
Yep, that's why I listed the W-wing ahead of ALS in my first post on this topic. |
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