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Puzzle 11/06/28: ~ XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Jun 28, 2011 2:00 am    Post subject: Puzzle 11/06/28: ~ XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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Marty R.



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

PostPosted: Wed Jun 29, 2011 4:50 am    Post subject: Reply with quote

AIC; r2c5<>5
W-Wing (49); r2c9<>4
Coloring; r9c8<>5
XY-Wing (674), flightless with transport; r3c4<>4
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tlanglet



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

PostPosted: Wed Jun 29, 2011 2:13 pm    Post subject: Reply with quote

A fun, interesting puzzle that did not readily match my bag of moves but I had an unusual step.

(5=6)r8c2-r12c2=r1c3-(6=9)r1c9-r3c7=r7c7-(9=5)r7c5; r8c56<>5
Multi-coloring (5);r2c5,r7c7,r9c6<>5

Probably a reasonable way to describe this next move, but it is not immediately obvious to me.

Code:
 *--------------------------------------------------*
 | 2    4    56   | 3    7    569  | 8    1    69   |
 | 8    569  7    | 2    49   1    | 3    45   69   |
 | 3    59-6 1    | 46   8    59-6 | 45   2    7    |
 |----------------+----------------+----------------|
 | 7    8    9    | 5    6    4    | 1    3    2    |
 | 6    1    4    | 9    2    3    | 7    8    5    |
 | 5    3    2    | 7    1    8    | 6    9    4    |
 |----------------+----------------+----------------|
 | 4    7    3    | 8    5    2    | 9    6    1    |
 | 1    56   8    | 46   49   679  | 2    57   3    |
 | 9    2    56   | 1    3    67   | 45   457  8    |
 *--------------------------------------------------*


axy-wing (49-6) vertex (49)r2c5 and fin(5)r2c2
If the xy-wing is true; then r3c2<>6. Plus transport: (6)r2c2-(6=5)r1c3-r1c6=(5-6)r3c6 for two deletions.
If fin is true: (5)r2c2-(5=6)r8c2*-r9c3=(6)r9c6; r3c26<>6 for the same two deletions as the xy-wing which makes r3c4=6 to complete the puzzle.

Ted
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Marty R.



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

PostPosted: Wed Jun 29, 2011 7:21 pm    Post subject: Reply with quote

Ted,

Just for laughs, there's what I think is an AIC. The 5 in r9c3 proves a 6 in r8c4; r8c2<>6.
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peterj



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

PostPosted: Thu Jun 30, 2011 7:23 am    Post subject: Reply with quote

Looked for a long time for some MUG/DP/Oddagon but gave up! Three steps...
Code:
turbot/er(5) (5)r2c8=r3c7 - r7c7=r7c4 ; r2c5<>5
w-wing(49) (4=9)r2c5 r1c6=r1c9 - (9=4)r6c9 ; r2c9<>4
xy-chain ; (5=4)r2c8 - (4=9)r2c5 - (9=4)r8c5 - (4=6)r8c4 - (6=5)r8c2 ; r2c2<>5, r8c8<>5
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Thu Jun 30, 2011 12:17 pm    Post subject: Reply with quote

6r9c3=6r9c6-6r8c4=(6-4)r3c4=4r3c7-(4=5)r9c7 => -5r9c3
Kite 5R7C8 => -5r2c5
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