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Set XY 09/11/07

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Nov 07, 2009 8:13 pm    Post subject: Set XY 09/11/07 Reply with quote

Next to last puzzle in datafile for this set. I needed an XY-Chain.

Code:
XY puzzles can be solved using these techniques:

Basics:  Naked/Hidden Single, Naked Pair/Triple, Locked Candidates 1/2
Basics+: Naked Quad, Hidden Pair/Triple/Quad
VH:      BUG+1, UR Type 1, X-Wing, XY-Wing
VH+:     2-String Kite, Empty Rectangle, Remote Pair, Skyscraper,
         XYZ-Wing, finned X-Wing, UR Type 2/4
XY:      gM-Wing, W-Wing, XY-Chain, BUG+2, BUG+3, other URs

Code:
 +-----------------------+
 | 1 6 . | . 3 . | . . . |
 | 5 9 . | 8 1 . | 3 . . |
 | . . 3 | . . . | . . 5 |
 |-------+-------+-------|
 | . 7 . | 1 . . | 9 . . |
 | 9 1 . | . 6 . | 8 3 . |
 | . . . | . . . | . 2 . |
 |-------+-------+-------|
 | . 3 . | 6 4 . | 2 5 9 |
 | . . . | . 9 8 | 6 1 . |
 | . . 9 | . . . | 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: Sun Nov 08, 2009 12:04 am    Post subject: Reply with quote

Another fun puzzle Exclamation

By just taking what appeared, I used five steps to complete the puzzle.
Quote:
type 1 UR46 sets r2c9=2,
looking for a xy-wing I found an AIC: (4=2)r8c3 - (2=8)r1c3 - (8)r1c8 = (8)r3c8 - (8=24)r3c12 - (2=7)r3c5 - (7=8)r6c5 - (8=4)r6c2; r5c3, r8c2<>4
xyz-wing 235 in r4c6
useless w-wing 25 in r5c3 & r8c4 with strong link 2 in r1c34 plus pincer transport,
BUG+2 requires r1c4=9 or r3c4=2, thus (8=9)r1c8 - BUG[(9)r1c4 = (2)r3c4] - (2=4)r3c1 - (4=8)r3c2; r1c3, r3c8<>8.

Ted
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arkietech



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

PostPosted: Sun Nov 08, 2009 8:38 am    Post subject: Reply with quote

For fun a one step Very Happy
Code:
 *-----------------------------------------------------------*
 | 1     6    a248   | 2459  3     2459  | 7    *8-9   24    |
 | 5     9     7     | 8     1     24    | 3     46    246   |
 | 24    248   3     |f2479  27    6     | 1    *9-8   5     |
 |-------------------+-------------------+-------------------|
 | 23    7    b258   | 1    c258   235   | 9     46    46    |
 | 9     1     245   | 245   6     245   | 8     3     7     |
 | 34    48    6     |e479  d78    349   | 5     2     1     |
 |-------------------+-------------------+-------------------|
 | 8     3     1     | 6     4     7     | 2     5     9     |
 | 7     245   24    | 25    9     8     | 6     1     3     |
 | 6     25    9     | 3     25    1     | 4     7     8     |
 *-----------------------------------------------------------*
 (8)r1c8=(8)r1c3-(8)r4c3=(8)r4c5-(8=7)r6c5-(7)r6c4=(7-9)r3c4=(9)r3c8
 => r3c8<>8, r1c8<>9;
 singles
 
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Marty R.



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

PostPosted: Mon Nov 09, 2009 5:41 am    Post subject: Reply with quote

I used a W-Wing on 24 and two different 25 URs.

Note to Ted: regarding the comment you made on the other puzzle about using a UR to establish pincers, that was done with both of the aforementioned URs.
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