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Puzzle 10/09/23: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Sep 23, 2010 4:09 am    Post subject: Puzzle 10/09/23: B Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Sep 23, 2010 5:45 pm    Post subject: Reply with quote

Two steps - with a loop
Quote:
xy-wing(12-4) with SL(4) across pincers to produce a continuous loop ;
(4=2)r2c1 - (2=1)r3c2 - (1=4)r5c2 - r7c2=r7c1 - loop ; r14c1<>4, r2c3<>2
xy-wing(17-3) r1c5 ; r7c1<>3
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tlanglet



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

PostPosted: Thu Sep 23, 2010 9:37 pm    Post subject: Reply with quote

I also used xy-wings, only many more than Peter.

Quote:
xy-wing 12-4 vertex (12)r3c2; r4c1<>4
xy-wing 27-9 vertex (27)r4c1; r4c3,r6c7<>9
xy-wing 1-24 vertex (14)r5c2; r3c2<>2
AIC found looking for another xy-wing: (6=7)r1c4-(7=1)r1c5-(1=3)r9c5-(3=2)r9c3-(2=4)r4c3-(4=6)r2c3; r2c6<>6
xy-wing -234 vertex r1c3; r7c1<>2
Flightless xy-wing: (2)r2c6=(2)r2c1-"xy-wing r35c2|r4c3"[(2)r3c2=(2)r4c3]-(2)r9c3=(2)r7c2; r7c6<>2
BUG+2:(2=4)r2c1-BUG+2[(4)r1c1=(1)r1c6]-(1=2)r3c6; r2c6,r3c2<>2


I am not sure about my notation regarding the incorporation of patterns within an AIC. Any suggestions are always appreciated.

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Sep 24, 2010 12:53 am    Post subject: Reply with quote

My apologies to everyone stuck working this puzzle!!! While searching for a single-stepper solution, I messed up my recordkeeping and lost track of the number of steps originally returned by my solver.

I completed the addition of S-Wing and "unnamed 3-SIS" to my solver and became distracted when I discovered that the latter AIC cracks the puzzle after basics -- but not M-Wing, W-Wing, nor S-Wing.

Code:
 after basics
 +-----------------------------------------------------+
 | *134  8    346  |  67  @17   146  |  5    2    9    |
 |  24   5    246  |  8    9    246  |  1    7    3    |
 |  9    12   7    |  23   5    123  |  6    4    8    |
 |-----------------+-----------------+-----------------|
 |  247  3    249  |  1    6    8    |  79   5    24   |
 |  57   14   8    |  359  2    39   |  379  6    14   |
 |  125  6    29   |  359  4    7    |  39   8    12   |
 |-----------------+-----------------+-----------------|
 | *234  24   5    |  279  37   29   |  8    1    6    |
 |  6    9    1    |  4    8    5    |  2    3    7    |
 |  8    7   *23   |  26  @13*  126  |  4    9    5    |
 +-----------------------------------------------------+
 # 50 eliminations remain

unnamed 3-SIS : 3C1 3R9 1C5 : (3)r1c1 = r7c1 - r9c3 = (3-1)r9c5 = (1)r1c5  =>  r1c1<>1
______________________________________________________________________________________

I refuse to say, "flightless Kite ...". _ Very Happy _
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tlanglet



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

PostPosted: Fri Sep 24, 2010 2:04 pm    Post subject: Reply with quote

daj95376 wrote:
My apologies to everyone stuck working this puzzle!!! While searching for a single-stepper solution, I messed up my recordkeeping and lost track of the number of steps originally returned by my solver.


Danny I for one did not feel "stuck" working this puzzle. After the first couple of xy-wings, I intentionally only looked for more xy-wings. Overall I enjoyed the puzzle very much, even after reading the post by Peter where he used my first xy-wing to make a loop.

daj95376 wrote:
I refuse to say, "flightless Kite ...". _ Very Happy _


Danny, when I was a young boy I used to make my own kites and many did not fly or went straight up and then straight down to crash. So I now have fond memories of "flightless kites" and think it is an appropriate name for your 3-SIS pattern. Very Happy

Ted
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Marty R.



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

PostPosted: Fri Sep 24, 2010 7:52 pm    Post subject: Reply with quote

No apologies needed, Danny.

M-Wing (29)
XY-Loop, r9c6<>2
AIC, r3c6<>1
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