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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Jun 22, 2011 5:42 pm Post subject: Puzzle 11/06/22: ~ Extreme |
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I wanted to generate more Advanced puzzles but, inadvertantly, left my puzzle generator configured for XY puzzles. This one popped out as an excessive XY puzzle. Enjoy!
Code: | +-----------------------+
| . 8 3 | . 4 . | . . . |
| 6 7 1 | . . 5 | . . 8 |
| 2 4 . | . . . | . . . |
|-------+-------+-------|
| . . . | . 2 9 | . 5 . |
| 5 . . | 3 1 4 | . 6 . |
| . 6 . | 5 8 . | 9 . . |
|-------+-------+-------|
| . . . | . . 3 | 6 1 . |
| . . . | 4 9 . | 2 8 . |
| . 3 . | . . . | . . 9 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Wed Jun 22, 2011 8:20 pm Post subject: |
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Not sure how to reconcile this with "extreme" - guess more than two links in a turbot/xchain not prioritised by your solver?
Quote: | colouring(2)/xchain ; (2)r6c3=r6c8 - r2c8=r2c4 - r1c6=r9c6 ; r9c3<>2
kite(4) ; (4)r7c1=r7c9 - r9c8=r6c8 ; r6c1<>4 |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Wed Jun 22, 2011 9:47 pm Post subject: |
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Here is my two cents.........
Quote: | axy-wing (27-6) vertex (27)r1c8 with fin (1)r1c6; r1c9,r3c5<>6
xy-wing=(1)r1c6-als(1=5)r1c487-(5=7)r9c7-r9c8=r1c8-(7=6)r3c9;
Coloring (4) completes the puzzle.
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Ted |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Jun 22, 2011 10:01 pm Post subject: |
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peterj wrote: | Not sure how to reconcile this with "extreme" - guess more than two links in a turbot/xchain not prioritised by your solver?
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Incorrect. Correct when you consider the fish techniques that I allow my solver to use on puzzles posted to this forum.
All of these techniques are 2-Fish as far as my solver is concerned:
Code: | turbot fish: 2-String Kite, Skyscraper, Empty Rectangle, finned/Sashimi X-Wing
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Your X-Chain(2) uses three strong inferences, and thus qualifies as a 3-Fish/Swordfish variant by my solver. It wasn't "allowed" when considering techniques to solve the puzzle. Ironically, your X-Chain(2) was allowed by the old version of my solver used with the puzzle generator. It finds most fish eliminations through templates -- which doesn't resolve the number of strong inferences present. |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sat Jun 25, 2011 4:29 am Post subject: |
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I used my typical excess moves.
Multi-coloring (2)
Type 4 UR (29)
XYZ-Wing (478)
XY-Wing (267)
Coloring (4) |
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PIsaacson
Joined: 13 Jun 2011 Posts: 11 Location: Campbell, CA
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Posted: Sat Jun 25, 2011 7:44 am Post subject: |
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Basics +
kite (7) r3c59 and r19c8 => r9c5 <> 7
UR Type 4 29 r57c23 => r57c3 <> 2
followed by 2 WXYZ-Wings
Code: | *-----------------------------------------------------------*
| 9 8 3 |a127 4 a126 | 157 a27 2567 |
| 6 7 1 | 29 3 5 | 4 29 8 |
| 2 4 5 | 189 67 8-1 | 13 39 67 |
|-------------------+-------------------+-------------------|
| 3478 1 478 | 6 2 9 | 378 5 47 |
| 5 29 789 | 3 1 4 | 78 6 27 |
| 34 6 24 | 5 8 7 | 9 234 1 |
|-------------------+-------------------+-------------------|
| 48 29 489 | 278 57 3 | 6 1 457 |
| 17 5 67 | 4 9 b16 | 2 8 3 |
| 148 3 2468 | 1278 56 1268 | 57 47 9 |
*-----------------------------------------------------------*
WXYZ-Wing ALS (a) r1c468 - 6 - (b) r8c6 => r3c6 <> 1
*-----------------------------------------------------------*
| 9 8 3 |a127 4 16-2 | 157 b27 2567 |
| 6 7 1 |a29 3 5 | 4 29 8 |
| 2 4 5 |a19 67 8 | 13 39 67 |
|-------------------+-------------------+-------------------|
| 3478 1 478 | 6 2 9 | 378 5 47 |
| 5 29 789 | 3 1 4 | 78 6 27 |
| 34 6 24 | 5 8 7 | 9 234 1 |
|-------------------+-------------------+-------------------|
| 48 29 489 | 278 57 3 | 6 1 457 |
| 17 5 67 | 4 9 16 | 2 8 3 |
| 148 3 2468 | 1278 56 126 | 57 47 9 |
*-----------------------------------------------------------*
WXYZ-Wing ALS (a) r123c4 - 7 - (b) r1c8 => r1c6 <> 2 |
Singles + one more kite (4) r6c18 and r49c3 => r9c8 <> 4 then ste
I'm uncertain where the WXYZ-Wing fits into the techniques priority scheme. It is sometimes called an extended XYZ-Wing or an ALS-XZ pattern. I like ALS patterns since they are ubiquitous and often crack really hard puzzles. Since this puzzle is in the extreme category, is it okay to use ALSs/DBs/SDCs???
Cheers,
Paul |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Jun 25, 2011 4:24 pm Post subject: |
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PIsaacson wrote: | I'm uncertain where the WXYZ-Wing fits into the techniques priority scheme. It is sometimes called an extended XYZ-Wing or an ALS-XZ pattern. I like ALS patterns since they are ubiquitous and often crack really hard puzzles. Since this puzzle is in the extreme category, is it okay to use ALSs/DBs/SDCs???
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Paul, your solution is fine ... and thanks for the details! Also, it's okay to use ALS/DB/SdC/MUG and the extended "wings". Members also like to be creative with their UR steps as well. BTW: thanks for the detailed specifics for the WXYZ-Wings.
Regards, Danny |
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