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Dec 13 VH

 
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Sun Dec 13, 2009 2:51 am    Post subject: Dec 13 VH Reply with quote

Old reliable does it again.

A Solution: 239 xy-wing

Early Earl
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Marty R.



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

PostPosted: Sun Dec 13, 2009 4:25 am    Post subject: Reply with quote

Alternatively, either an M-Wing or W-Wing on the 23 cells in boxes 14 will do it as well.
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ondesmartenot



Joined: 06 Dec 2009
Posts: 3
Location: Philadelphia, PA

PostPosted: Sun Dec 13, 2009 4:25 pm    Post subject: Dec 13 VH Reply with quote

I found interconnecting pairs of 25's with an 8 to keep it unique. Anyone tell me if this is legit?
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tlanglet



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

PostPosted: Sun Dec 13, 2009 4:42 pm    Post subject: Re: Dec 13 VH Reply with quote

ondesmartenot wrote:
I found interconnecting pairs of 25's with an 8 to keep it unique. Anyone tell me if this is legit?


Hi onedesmartenot and welcome to our sudoku group.

A bit more info is needed to help with your request. Where are the pair of 25's located, where is the digit 8 that is involved, what did you delete, and finally what was the logic behind your deletion?

Ted
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Marty R.



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

PostPosted: Sun Dec 13, 2009 5:12 pm    Post subject: Reply with quote

Ted, if it's of any help, this was my post-basic grid:

Code:

+------------+----------+----------+
| 4  12  23  | 8  5 9   | 136 7 16 |
| 39 6   7   | 1  2 4   | 39  8 5  |
| 5  18  89  | 7  6 3   | 19  2 4  |
+------------+----------+----------+
| 6  25  1   | 9  7 25  | 4   3 8  |
| 7  9   4   | 3  8 1   | 5   6 2  |
| 23 258 238 | 25 4 6   | 7   1 9  |
+------------+----------+----------+
| 29 7   259 | 6  1 258 | 28  4 3  |
| 8  3   26  | 4  9 7   | 126 5 16 |
| 1  4   256 | 25 3 258 | 268 9 7  |
+------------+----------+----------+

Play this puzzle online at the Daily Sudoku site
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ondesmartenot



Joined: 06 Dec 2009
Posts: 3
Location: Philadelphia, PA

PostPosted: Thu Dec 17, 2009 12:51 am    Post subject: Reply with quote

Hi Ted, using Marty's post basic grid I was wondering if the pair of 25's in row 4 and the pair of 25's in column 4 would force R6C2 and R9C6 to be 8 in order to avoid a deadly pattern?
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tlanglet



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

PostPosted: Thu Dec 17, 2009 3:13 am    Post subject: Reply with quote

ondesmartenot wrote:
Hi Ted, using Marty's post basic grid I was wondering if the pair of 25's in row 4 and the pair of 25's in column 4 would force R6C2 and R9C6 to be 8 in order to avoid a deadly pattern?


Hi Again,

Here is the code with the four cells in question marked abcd.
Code:
+------------+----------+----------+
| 4  12  23  | 8  5 9   | 136 7 16 |
| 39 6   7   | 1  2 4   | 39  8 5  |
| 5  18  89  | 7  6 3   | 19  2 4  |
+------------+----------+----------+
| 6 a25  1   | 9  7b25  | 4   3 8  |
| 7  9   4   | 3  8 1   | 5   6 2  |
| 23 258 238 |c25 4 6   | 7   1 9  |
+------------+----------+----------+
| 29 7   259 | 6  1 258 | 28  4 3  |
| 8  3   26  | 4  9 7   | 126 5 16 |
| 1  4   256 |d25 3 258 | 268 9 7  |
+------------+----------+----------+

The answer to your question is no; this is not a deadly pattern. However it is a pattern known as a remote pair that does provide deletions. Briefly, a remote pair is a sequence of an even number of four or more identical connected bivalue cells. In this case the sequence is marked abcd. The end cells of a remote pair act as pincers for the two digits of the bivalue cells. Thus, the two digits in the bivalue cells can be deleted from the two cells that see both ends of the remote pair sequence.

In this specific case, the two cells that see both end cells are r4c4 and r9c2. No deletions are possible since these two cells do not contain digit 2 or digit 5.

For a more complete and formal definition of remoter pairs, I suggest trying this site.

Ted
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ondesmartenot



Joined: 06 Dec 2009
Posts: 3
Location: Philadelphia, PA

PostPosted: Thu Dec 17, 2009 4:03 am    Post subject: Reply with quote

Hi Ted,
I have been thinking about this puzzle a lot and the remote pairs makes sense to me, but just for instance if R9C6 is an 8 than that leaves us with a pair of 25's in box 8 that would force R6C2 to be an 8, and also if R7C6 were an 8 the same would be true, if R6C2 is not an 8 than the six cells with 25 creates a deadly pattern?
-ondesmartenot
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tlanglet



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

PostPosted: Thu Dec 17, 2009 4:47 am    Post subject: Reply with quote

ondesmartenot wrote:
Hi Ted,
I have been thinking about this puzzle a lot and the remote pairs makes sense to me, but just for instance if R9C6 is an 8 than that leaves us with a pair of 25's in box 8 that would force R6C2 to be an 8, and also if R7C6 were an 8 the same would be true, if R6C2 is not an 8 than the six cells with 25 creates a deadly pattern?
-ondesmartenot


Deadly Patterns are limited to restricted cell arrangements. I suggest that you go to the site previously provided and check out UR and BUG patterns.

Happy reading...

Ted
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Dec 17, 2009 4:48 am    Post subject: Reply with quote

ondesmartenot wrote:
Hi Ted,
I have been thinking about this puzzle a lot and the remote pairs makes sense to me, but just for instance if R9C6 is an 8 than that leaves us with a pair of 25's in box 8 that would force R6C2 to be an 8, and also if R7C6 were an 8 the same would be true, if R6C2 is not an 8 than the six cells with 25 creates a deadly pattern?
-ondesmartenot

Yes,

At least one of R6C2 and R9C6 must be 8. It so happens that in the solution both are 8, but only one is needed to avoid that particular DP. I do not see any eliminations.

R9C6 = 8 does not force R6C2 = 8.

Keith
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