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Puzzle NR 09/11/17 (B)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Nov 17, 2009 4:55 pm    Post subject: Puzzle NR 09/11/17 (B) Reply with quote

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

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: Tue Nov 17, 2009 7:24 pm    Post subject: Reply with quote

Cool! Cool
Quote:
ur 89 twice!
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tlanglet



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

PostPosted: Wed Nov 18, 2009 7:36 pm    Post subject: Reply with quote

Dan,

I would appreciate some details on your solution.

Ted
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arkietech



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

PostPosted: Wed Nov 18, 2009 10:11 pm    Post subject: Reply with quote

tlanglet wrote:
I would appreciate some details on your solution.

Code:
 *--------------------------------------------------------------------*
 | 8      2      1      | 5      6      9      | 4      7      3      |
 | 9      7      3      | 1      28     4      | 268    5      268    |
 | 5      4      6      | 28     3      7      | 1      289    289    |
 |----------------------+----------------------+----------------------|
 | 4      5      78     | 278    9      3      | 2678   268    1      |
 | 1     *9-8   *789    | 6      5      28     | 278    3      4      |
 | 6      3      2      | 4      78     1      | 5      89     789    |
 |----------------------+----------------------+----------------------|
 | 2      689    4      | 789    1      5      | 3      68     678    |
 | 3      1      5      | 2789   278    268    | 26789  4      2678   |
 | 7     *689   *9-8    | 3      4      268    | 2689   1      5      |
 *--------------------------------------------------------------------*
First ur 89 I believe it is type 6
This leads to
 
 *--------------------------------------------------*
 | 8    2    1    | 5    6    9    | 4    7    3    |
 | 9    7    3    | 1    28   4    | 268  5    268  |
 | 5    4    6    | 8-2  3    7    | 1   *289 *289  |
 |----------------+----------------+----------------|
 | 4    5    78   | 28   9    3    | 267  26   1    |
 | 1    9    78   | 6    5    28   | 27   3    4    |
 | 6    3    2    | 4    7    1    | 5   *89  *89   |
 |----------------+----------------+----------------|
 | 2    68   4    | 9    1    5    | 3    68   7    |
 | 3    1    5    | 7    28   268  | 9    4    268  |
 | 7    68   9    | 3    4    268  | 268  1    5    |
 *--------------------------------------------------*
Second ur 89
singles to finish
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tlanglet



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

PostPosted: Wed Nov 18, 2009 10:57 pm    Post subject: Reply with quote

arkietech wrote:

Code:
 *--------------------------------------------------------------------*
 | 8      2      1      | 5      6      9      | 4      7      3      |
 | 9      7      3      | 1      28     4      | 268    5      268    |
 | 5      4      6      | 28     3      7      | 1      289    289    |
 |----------------------+----------------------+----------------------|
 | 4      5      78     | 278    9      3      | 2678   268    1      |
 | 1     *9-8   *789    | 6      5      28     | 278    3      4      |
 | 6      3      2      | 4      78     1      | 5      89     789    |
 |----------------------+----------------------+----------------------|
 | 2      689    4      | 789    1      5      | 3      68     678    |
 | 3      1      5      | 2789   278    268    | 26789  4      2678   |
 | 7     *689   *9-8    | 3      4      268    | 2689   1      5      |
 *--------------------------------------------------------------------*
First ur 89 I believe it is type 6

Dan,

I also saw the type 6 UR 89, but the only deletion I made was r9c2<>9 due to the strong link on 9 in row5 and col3.

What is the specific logic/reasoning that allowed you to delete 8 in r5c2 and r9c3?

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Nov 18, 2009 11:45 pm    Post subject: Reply with quote

Dan,

I think that this may not be a proper type 6 UR.

"Suppose exactly two cells in the rectangle contain extra candidates, and they are located diagonally across each other in the rectangle. Suppose the common candidates are U and V, and none of the other cells in the two rows and two columns containing the rectangle contain U. Then U can be eliminated from these two cells."

Unfortunately there are other 8s that spoil the party.

You can prove this by dropping in 8's into your proposed elimination squares - you can't create the deadly pattern.
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Marty R.



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

PostPosted: Thu Nov 19, 2009 12:05 am    Post subject: Reply with quote

After three ERs, the 89 UR in boxes 36 was a Type 2 which finished things off.

Hey MM, welcome back after your two-year sabbatical!! Very Happy
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Nov 19, 2009 12:22 am    Post subject: Reply with quote

Sorry Dan,

The <9> at r9c7 ruins the X-Wing you need for your UR Type 6.

However, the puzzle can be solved in two steps:

Skyscraper on <7> followed by <89> UR r36c89 Type 2.
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arkietech



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

PostPosted: Thu Nov 19, 2009 1:38 am    Post subject: Reply with quote

daj95376 wrote:
Sorry Dan,

The <9> at r9c7 ruins the X-Wing you need for your UR Type 6.

Oh shucks -- back to the pedia Embarassed
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Nov 19, 2009 6:28 am    Post subject: Reply with quote

Many thanks Marty!
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oaxen



Joined: 10 Jul 2006
Posts: 96

PostPosted: Fri Nov 20, 2009 10:44 am    Post subject: Reply with quote

a "7" in r5c3 makes it a one stepper
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