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Puzzle 11/03/13: ~ Difficult BBDB

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Mar 13, 2011 6:20 am    Post subject: Puzzle 11/03/13: ~ Difficult BBDB Reply with quote

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

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: Sun Mar 13, 2011 2:38 pm    Post subject: Reply with quote

I found a short AIC looking for a xy-wing: (9=7)r7c2-r7c8=r3c8-r3c5=(7-9)r2c6=(9)r2c4; r7c4<>9

Code:
 *--------------------------------------------------------------------*
 | 7      1      3      | 4     d26     8      | 26     9      5      |
 | 8     a26     5      | 9      1     -27     | 3      4      267    |
 | 4     b26     9      | 3     c26=7   5      | 8      27     1      |
 |----------------------+----------------------+----------------------|
 | 9      4      1      | 8      3      6      | 27     5      27     |
 | 6      3      7      | 2      5      1      | 9      8      4      |
 | 2      5      8      | 7      9      4      | 1      6      3      |
 |----------------------+----------------------+----------------------|
 | 1      9      246    | 56     278    3      | 24567  27     2678   |
 | 5      7      246    | 1      28     9      | 246    3      268    |
 | 3      8      26     | 56     4      27     | 2567   1      9      |
 *--------------------------------------------------------------------*

This set up an "Almost Remote Pair: ARP(26) marked "abcd" with fin (7)r3c5; r2c6<>2
If fin is true: (7)r3c5-(7=2)r3c8-r1c7=r1c5-(2)r2c6

Ted
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Sun Mar 13, 2011 3:28 pm    Post subject: Reply with quote

tlanglet wrote:
This set up an "Almost Remote Pair: ARP(26) marked "abcd" with fin (7)r3c5; r2c6<>2
If fin is true: (7)r3c5-(7=2)r3c8-r1c7=r1c5-(2)r2c6

Ted, if you don't mind "endnode" overlap at r1c5, r2c2 & r3c2 aren't needed.

anp:[(26)r13c5 = (7)r3c5] - (7=2)r3c8 - (2=6)r1c7 - (6=2)r1c5 ==> r2c6,r78c5<>2
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tlanglet



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

PostPosted: Sun Mar 13, 2011 5:04 pm    Post subject: Reply with quote

Ron,

I have no pride or guilt: I will use anything valid if it results in a deletion including "endnode overlap". I especially like the "almost" approach and use ANP() frequently. In another thread, I just posted an almost xyz-wing which makes two unusual moves today including the ARP().

Ted Cool
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peterj



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

PostPosted: Sun Mar 13, 2011 6:11 pm    Post subject: Reply with quote

Two wings hitting the same cell...
Code:
w-wing(26) ; (2=6)r2c2 - r3c2=r3c5 - (6=2) ; r2c6<>2
s-wing(79) with transport ; (9)r2c4=r7c4 - (9=7)r7c2 - (7)r7c8=r3c8 - r3c5=r2c6 ; r2c6<>9
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Marty R.



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

PostPosted: Mon Mar 14, 2011 4:27 am    Post subject: Reply with quote

I used my usual number of moves, including:

Multi-coloring
XY-Wing + transport
Coloring
DP implications
W-Wing
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