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Set XY_01 Puzzle 3

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Mar 24, 2009 7:27 pm    Post subject: Set XY_01 Puzzle 3 Reply with quote

Code:
 +-----------------------+
 | . . . | 6 . . | 4 . 3 |
 | . 7 9 | . . 3 | 2 . . |
 | . 1 . | 2 . 4 | . 9 7 |
 |-------+-------+-------|
 | 8 . 5 | 1 6 . | . . 9 |
 | . . . | 3 . . | . . . |
 | . 3 6 | . . . | . . . |
 |-------+-------+-------|
 | 1 9 . | . . . | . 6 . |
 | . . 2 | . . . | 9 . . |
 | 3 . 7 | 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: Tue Mar 24, 2009 7:53 pm    Post subject: Reply with quote

My second step turn out to be a one-step solution.
Quote:
xy-wing378 with pivot <37> at r8c8 and transporting <8> at pincer r8c5 to r3c7 via r3c5

Ted
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gindaani



Joined: 06 Mar 2009
Posts: 79

PostPosted: Tue Mar 24, 2009 9:26 pm    Post subject: Reply with quote

tlanglet wrote:
My second step turn out to be a one-step solution.
Quote:
xy-wing378 with pivot <37> at r8c8 and transporting <8> at pincer r8c5 to r3c7 via r3c5

Ted


So that could potentially eliminate 8 from r3c2 and r8c7. I don't have any 8s there, so the 378 xy-wing with transported 8s make no eliminations.

Can you post your board prior to your final step?
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gindaani



Joined: 06 Mar 2009
Posts: 79

PostPosted: Tue Mar 24, 2009 10:21 pm    Post subject: Reply with quote

I solved it with two steps.
Quote:
378 xy-wing transporting 8 at r8c4 to r3c5
85-58-87-75-52-27-78 => r5c8<>8
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.

PostPosted: Wed Mar 25, 2009 3:41 am    Post subject: Reply with quote

Single step W-wing for me.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Mar 25, 2009 10:58 am    Post subject: Reply with quote

gindaani wrote:
tlanglet wrote:
My second step turn out to be a one-step solution.

Can you post your board prior to your final step?

I hope it's okay with Ted that I answer your question.

Code:
            a      b      c           d            e
 XY-Wing  : [r5c8]+[r8c8]+[r8c5]
 transport:               [r8c5]=8 => [r3c5]<>8 => [r3c7]=8
 Q.E.D.   : [r5c8]=8            or                 [r3c7]=8
 *-----------------------------------------------------------*
 | 2     5     8     | 6     7     9     | 4     1     3     |
 | 4     7     9     | 58    1     3     | 2     5-8   6     |
 | 6     1     3     | 2    d58    4     |e58    9     7     |
 |-------------------+-------------------+-------------------|
 | 8     24    5     | 1     6     27    | 37    2347  9     |
 | 9     24    1     | 3     245   78    | 6    a78    25    |
 | 7     3     6     | 9     245   258   | 15-8  2458  125   |
 |-------------------+-------------------+-------------------|
 | 1     9     4     | 57    235   25    | 37    6     8     |
 | 5     6     2     | 78   c38    1     | 9    b37    4     |
 | 3     8     7     | 4     9     6     | 15    25    125   |
 *-----------------------------------------------------------*
 XY-Chain : (8=7)a - (7=3)b - (3=8)c - (8=5)d = (5=8)e
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tlanglet



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

PostPosted: Wed Mar 25, 2009 1:54 pm    Post subject: Reply with quote

I just got back online and found this post.

Thanks Danny for your input. Your code and solution are dead-on.

Ted
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gindaani



Joined: 06 Mar 2009
Posts: 79

PostPosted: Wed Mar 25, 2009 7:09 pm    Post subject: Reply with quote

OK, Ted's xy-wing with transported pincers is the same as my xy-chain

I missed the easy elimination of the 8s in r56c5 by the fact that 8s in c6 are all in box 5. What is that called? Perhaps box claiming or house claiming?

Anyway, I used a different 378 xy-wing with transported pincer to eliminate the 8s in r56c5. After that we had the same solution by different names.

All xy-wings are xy-chains too! Very Happy
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