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Puzzle 10/06/27: BBDB XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Jun 27, 2010 5:46 am    Post subject: Puzzle 10/06/27: BBDB XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  6     578   578   |  4     1     9     |  278   2378  23    |
 |  49    1478  4789  |  26    27    3     |  1678  5     46    |
 |  2     147   3     |  8     5     67    |  1679  147   469   |
 |--------------------+--------------------+--------------------|
 |  8     9     1     |  5     27    67    |  4     23    236   |
 |  7     26    26    |  3     4     1     |  5     9     8     |
 |  3     45    45    |  26    9     8     |  126   12    7     |
 |--------------------+--------------------+--------------------|
 |  49    468   4689  |  1     3     5     |  2789  2478  249   |
 |  1     3     489   |  7     6     2     |  89    48    5     |
 |  5     27    27    |  9     8     4     |  3     6     1     |
 +--------------------------------------------------------------+
 # 66 eliminations remain
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tlanglet



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

PostPosted: Sun Jun 27, 2010 12:55 pm    Post subject: Reply with quote

Three steps with a xy-chain..............

Quote:
Type 6 UR23 r14c89 with x-wing 3 overlay; r2c8,r4c9<>3
w-wing 26 r2c4 & r4c9 with SL2 r24c5; r2c9<>6
(7=2)r2c5 - r2c4 = r6c4 - (2=1)r6c8 - (1=7)r3c8; r3c6<>7


A single step solution is an "Almost" xy-chain. View r3c8 as (17=4).
If r3c8=17 then: 7=2)r2c5 - r2c4 = r6c4 - (2=1)r6c8 - (1=7)r3c8; r3c6<>7
If r3c8=4 then: (4)r3c8 - (4=6)r2c9 - r3c79 = (6-7)r3c6; r3c6<>7

Ted
[Edit to include "Almost" xy-chain single step solution.]
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peterj



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

PostPosted: Sun Jun 27, 2010 1:31 pm    Post subject: Reply with quote

Two steps with a different xy-chain...
Quote:
turbot/ER(6) (6)r4c9=r6c7 - r6c4=r2c4; r2c9<>6
xy-chain (2=1)r5c8 - (1=7)r3c8 - (7=6)r3c6 - (6=2)r2c4; r6c4<>2

(I think the same "almost" play is possible with this chain as it also depends on (4)r3c8 - (4=6)r2c9 - (6=2)r2c4; r6c4<>2)
I did also play a stricter XY game and it was definitely BBDB for me!! Some of these may be extraneous...
Quote:
Turbot/ER(6) (6)r4c9=r6c7 - r6c4=r2c4; r2c9<>6
x-wing(6); r3c7<>6
x-wing(8); r1c7<>8, r7c37<>8
xy-wing(17-2) r3c8; r6c7<>2, r1c8<>2
m-wing(7) (7=8)r1c2 - r1c8=(8-7)r7c8=r7c7; r1c7<>7
xyz-wing(19-7) r3c7; r2c7<>7
xy-wing(68-9) r2c7; r3c7<>9
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Marty R.



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

PostPosted: Mon Jun 28, 2010 9:49 pm    Post subject: Reply with quote

Type 6 UR (23)
W-Wing (26)
XY-Chain
XY-Wing (679)
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