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Puzzle XY 09/12/23

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Dec 23, 2009 4:22 pm    Post subject: Puzzle XY 09/12/23 Reply with quote

Code:
 +-----------------------+
 | . . . | 4 . 6 | 9 . . |
 | . 3 . | 9 5 . | . . . |
 | . . . | . . 3 | . . . |
 |-------+-------+-------|
 | 1 6 . | 7 . . | . 9 2 |
 | . 8 . | . . 4 | . . . |
 | 3 . 4 | . 9 . | 1 . . |
 |-------+-------+-------|
 | 4 . . | . . 9 | 6 . . |
 | . . . | 6 . . | . 3 8 |
 | . . . | 5 . . | . 4 . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed Dec 23, 2009 7:26 pm    Post subject: Reply with quote

My two steps were
Quote:
x-wing 5 in r38c17,
xy-wing 12-7 plus a transport.

Ted
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Wed Dec 23, 2009 11:55 pm    Post subject: Reply with quote

I used
Quote:
same as Ted's only needed a skyscraper 7 to set up xy-wing 127
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Dec 24, 2009 5:27 am    Post subject: Reply with quote

Code:
+----------------------+----------------+-----------------+
| 8        125   127   | 4  127   6     | 9    1257   3   |
| 7(2)     3     16    | 9  5     7(2)  | 8    16     4   |
| 7-2(59)  4     12679 | 8  127   3     | 257  12567  157 |
+----------------------+----------------+-----------------+
| 1        6     5     | 7  3     8     | 4    9      2   |
| -2(9)    8     29    | 1  6     4     | 3    57     57  |
| 3        7     4     | 2  9     5     | 1    8      6   |
+----------------------+----------------+-----------------+
| 4        (25)  8     | 3  7(2)  9     | 6    1257   157 |
| 27(5)    9     127   | 6  4     1(2)  | 25   3      8   |
| 6        12    3     | 5  8     17(2) | 27   4      9   |
+----------------------+----------------+-----------------+

(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1
r3c1 <> 2
r5c1 <> 2

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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Dec 24, 2009 5:47 am    Post subject: Reply with quote

storm_norm wrote:
(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1
r3c1 <> 2
r5c1 <> 2

Interesting use of a chain, Norm. Since I'm up to my eyeballs writing an updated chain module for my solver, I actually debated an implementation that would support compound chains such as yours. Of course, one is left with the dilemma of just how far to carry a compound chain.

(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1 - (9=2)r5c3
r3c1 <> 2
r5c1 <> 2
r13c3 <> 2
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Thu Dec 24, 2009 7:15 am    Post subject: Reply with quote

daj95376 wrote:
storm_norm wrote:
(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1
r3c1 <> 2
r5c1 <> 2

Interesting use of a chain, Norm. Since I'm up to my eyeballs writing an updated chain module for my solver, I actually debated an implementation that would support compound chains such as yours. Of course, one is left with the dilemma of just how far to carry a compound chain.

(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1 - (9=2)r5c3
r3c1 <> 2
r5c1 <> 2
r13c3 <> 2


I can only suggest far enough to solve the puzzle.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Thu Dec 24, 2009 10:58 am    Post subject: Reply with quote

storm_norm wrote:
(2)r2c1 = (2)r2c5 - (2)r89c6 = (2)r7c5 - (2=5)r7c2 - (5)r8c1 = (5-9)r3c1 = (9)r5c1

I like it! Very Happy
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Marty R.



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

PostPosted: Thu Dec 24, 2009 4:32 pm    Post subject: Reply with quote

Type 4 UR (29)
ER (7)
X-Wing (5)
XY-Wing (127) with pincer transport
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