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June 14 BB sh

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Jun 15, 2010 6:02 am    Post subject: June 14 BB sh Reply with quote

More than your usual walk in the park:
Code:
Puzzle: BB061410sh
+-------+-------+-------+
| . . . | 6 . 4 | . . 5 |
| . . . | 8 . . | . 3 9 |
| . . . | . 3 . | 2 . 4 |
+-------+-------+-------+
| . . 7 | 9 4 . | 5 . . |
| . 8 . | . . . | . 9 . |
| . . 9 | . 5 7 | 6 . . |
+-------+-------+-------+
| 7 . 5 | . 9 . | . . . |
| 3 4 . | . . 6 | . . . |
| 9 . . | 3 . 5 | . . . |
+-------+-------+-------+
Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jun 15, 2010 4:16 pm    Post subject: Reply with quote

Certainly not a usual walk for me.......

1.XY chain on 2s (2=4)r5c3-(4=6)r2c3-(6=4)r2c1-(4=1)r6c6-(1=2)r6c4; r5c4<>2

2. ALS XZ: At r5c7 X={4,7} At r1467c8 Z={1,2,4,7,8}
Restricted common is 4, Common is 7 so r2c7<>7

3. Colouring on 2s exposes a contradiction and r4c2, r5c9, r6c9 and r9c8 <>2
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Tue Jun 15, 2010 5:10 pm    Post subject: Reply with quote

Mogulmeister wrote:
2. ALS XZ: At r5c7 X={4,7} At r1467c8 Z={1,2,4,7,8}
Restricted common is 4, Common is 7 so r2c7<>7

By convention, the restricted common is 'X' and the common is 'Z' ... and the ALSs are usually sets 'A' and 'B'. See http://www.sudopedia.org/wiki/ALS-XZ.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jun 15, 2010 5:24 pm    Post subject: Reply with quote

Perfect. I named the sets X and Z and gave no algebraic representation to the common elements because I had already explicitly named them. I shall adopt the convention.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Jun 15, 2010 8:28 pm    Post subject: Reply with quote

Interesting. Most of us pencil and paper solvers have long given up looking for swordfishes ...

Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jun 15, 2010 8:43 pm    Post subject: Reply with quote

Interesting.
Who mentioned swordfish ?
The correct plural surely.? Very Happy
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Jun 15, 2010 8:57 pm    Post subject: Reply with quote

After basics, and an XY-wing -124:
Code:
+----------------+----------------+----------------+
| 2    9    3    | 6    17   4    | 8    17   5    |
| 46   5    46   | 8    127  12   | 17   3    9    |
| 8    7    1    | 5    3    9    | 2    6    4    |
+----------------+----------------+----------------+
| 16   26   7    | 9    4    8    | 5    12   3    |
| 5    8    24   | 1    6    3    | 47   9    27   |
| 14   3    9    | 2    5    7    | 6    148  18   |
+----------------+----------------+----------------+
| 7    126  5    | 4    9    12   | 3    128  1268 |
| 3    4    28   | 7    128  6    | 9    5    12   |
| 9    126  268  | 3    128  5    | 147  1247 1267 |
+----------------+----------------+----------------+
Look for the swordfish.

Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jun 15, 2010 9:20 pm    Post subject: Reply with quote

I see what you mean.

In my version, I discounted the swordfish on 1s because it didn't have as great an effect as the ALS (which I am more partial to*) and would have meant another step (to solve the puzzle).

You still need more moves of course after the swordfish. Can a jellyfish be found ?

[Ed * In terms of fun!]


Last edited by Mogulmeister on Tue Jun 15, 2010 9:36 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Tue Jun 15, 2010 9:30 pm    Post subject: Reply with quote

Yes it can!! (I think)
Start with your same first move Keith then instead of sword, LOOK FOR JELLY!!!

R1468C1589 - of course, once the excitement dies down we still only make the same eliminations as the swordfish but hey !?
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Tue Jun 15, 2010 10:22 pm    Post subject: Reply with quote

I used five moves, probably not all necessary.

XY-Wing (142)
Kite (1) + extension
Type 6 UR (28)
XY-Wing (128)
Kite (2)
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