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Set XY_03 Puzzle 044

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Oct 20, 2009 9:17 pm    Post subject: Set XY_03 Puzzle 044 Reply with quote

My solver used a 6-cell gM=Wing. Perfect for those who like chains.

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

Play this puzzle online at the Daily Sudoku site
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arkietech



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

PostPosted: Wed Oct 21, 2009 2:58 pm    Post subject: Reply with quote

Fun! Very Happy
Code:
 *-----------------------------------------------------------*
 | 5     37    37    | 4     6     2     | 9     1     8     |
 | 1     8     2     | 357   357   9     | 4     56    567   |
 | 6     9     4     | 57    1     8     | 3     2     57    |
 |-------------------+-------------------+-------------------|
 | 4     357   37    |*28    9    d36    | 8-2   567   1     |
 | 2     357   6     |e38    4     1     | 58    57    9     |
 | 8     1     9     | 67-2  7-2   5     |*26    3     4     |
 |-------------------+-------------------+-------------------|
 | 9     4     1     | 2356  235  c36    | 7     8     35    |
 | 7     2     8     | 1    b35    4     |a56    9     356   |
 | 3     6     5     | 9     8     7     | 1     4     2     |
 *-----------------------------------------------------------*
XY-Chain:
(2=6)r6c7-(6=5)r8c7-(5=3)r8c5-(3=6)r7c6-(6=3)r4c6-(3=8)r5c4-(8=2)r4c4
=> r4c7,r6c45<>2;
singles remain
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Marty R.



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

PostPosted: Wed Oct 21, 2009 9:38 pm    Post subject: Reply with quote

XY-Wing on 356, pivoted in r8c5. It's flightless, but transporting the 6 from r8c7 to r4c8 knocks out the 6 from r4c6 and that does it.
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tlanglet



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

PostPosted: Thu Oct 22, 2009 11:57 pm    Post subject: Reply with quote

Once again I used a UR implication to form a chain.

UR 57 in r23c49: either r2c4=3 or r2c9=6 to prevent the deadly pattern.

UR57[(3)r2c4 = (6)r2c9] - (6)r8c9 = (6)r8c7 - (6=2)r6c7 - (2=8)r4c7 - (8)r4c4 = (8)r5c4; r5c4=8 to complete the puzzle.

Ted
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