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Puzzle 10/10/16: A Advanced

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Oct 16, 2010 5:21 am    Post subject: Puzzle 10/10/16: A Advanced Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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peterj



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

PostPosted: Sat Oct 16, 2010 4:00 pm    Post subject: Reply with quote

I played/tried a lot more steps than these - but this was my best path through what I found a tough puzzle..
Quote:
xy-wing(45-1) r3c2 ; r56c3<>1
finned x-wng(5) r26c35 ; r4c5<>5
xy-wing(58-3) r4c1 ; r4c3<>3, r6c45<>3
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Oct 16, 2010 9:14 pm    Post subject: Reply with quote

agreed, tough puzzle.
very nice path.
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Marty R.



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

PostPosted: Sat Oct 16, 2010 10:28 pm    Post subject: Reply with quote

I played the XY-Wing on 451 followed by an X-Wing on 4, which made no difference. Looking at the implications of the potential DP on 58 in boxes 47, r4c3<>3 due to invalidity.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Oct 16, 2010 11:45 pm    Post subject: Reply with quote

Since I don't solve puzzles, other than tackling the occassional grid, my solver's solution to a difficult puzzle often looks reasonable to me. However, after reading the comments, I decided to take a closer look at its solution.

Code:
   c26   X-Wing                          <> 4    r3c5   extraneous
 r16     X-Wing                          <> 4    r3c5        "

 <45+1>  XY-Wing  r3c2/r2c3+r5c2         <> 1    r56c3

     b4  Naked  Quad                     <> 2358 r6c1

 r26\c35 finned  X-Wing                  <> 5    r4c5   -or-
 r2  b4  Empty Rectangle                 <> 5    r4c5

 <58+3>  XY-Wing  r4c1/r4c5+r6c3         <> 3    r4c3,r6c45

Yes, all four steps (including the Naked Quad) are tight -- one playing immediately into the next.
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