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Puzzle 10/07/05: unrated

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Jul 05, 2010 10:37 pm    Post subject: Puzzle 10/07/05: unrated Reply with quote

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

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +-----------------------------------------------------------------------+
 |  4      9      15     |  137    6      135    |  2      178    178    |
 |  6      8      3      |  127    27     9      |  5      4      17     |
 |  2      7      15     |  8      4      15     |  6      9      3      |
 |-----------------------+-----------------------+-----------------------|
 |  39     246    4678   |  5      279    234    |  1489   137    14679  |
 |  1      24     478    |  2347   279    6      |  489    37     5      |
 |  39     5      467    |  347    1      8      |  49     2      4679   |
 |-----------------------+-----------------------+-----------------------|
 |  7      3      46     |  1469   8      14     |  149    5      2      |
 |  8      1      2      |  49     5      7      |  3      6      49     |
 |  5      46     9      |  1246   3      124    |  7      18     148    |
 +-----------------------------------------------------------------------+
 # 72 eliminations remain
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tlanglet



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

PostPosted: Tue Jul 06, 2010 12:35 pm    Post subject: Reply with quote

Danny,

Not having a rating for this puzzle added to the fun. I did not realize how the rating has influenced my approach to solving your puzzles.

Here is my assortment of fun steps.........

Quote:
Type 1 UR15 r13c36; r1c6=3
ANP(18=4)r9c89-r8c9=r8c4-(4=1)r7c6; r7c7,r9c6<>1
Type 1 UR18 r19c89; r1c9=7
Remote Pairs 49 r8c4 =>r6c7; r6c4<>4
w-wing 37 r4c8 & r6c4 strong link 3 r46c1; r4c5<>7

I suspect that one or two are not necessary.

Ted
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Marty R.



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

PostPosted: Tue Jul 06, 2010 11:06 pm    Post subject: Reply with quote

I'm not proud of my solution. First I played the Type 1 UR on 15, then I looked at the implications of the potential Type 6 UR on 17 and discovered that r2c4=2 solved the puzzle.
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tlanglet



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

PostPosted: Tue Jul 06, 2010 11:29 pm    Post subject: Reply with quote

Marty R. wrote:
I'm not proud of my solution.


Marty,

Enjoying your solution does not necessarily mean that you are proud of it; but fun is still fun!

Besides, your solution is clearly shorter and cleaner that the one I posted..............

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Jul 06, 2010 11:56 pm    Post subject: Reply with quote

Marty: Given my solver's solution, your solution turns out to be a wise choice.

Code:
 r13c36  <15> UR Type 1.2223             r1c6<>15

 <69+4>  XYZ-Wing r7c4/r7c3+r8c4         <> 4    r7c6

 r19c89  <18> UR Type 1.2223             r1c9<>18

 r12c49  <17> UR Type 1.1112  ***        r2c4<>7

Here is the grid before the final URs:

Code:
 *-----------------------------------------------------------*
 | 4     9     5     | 17    6     3     | 2     18    178   |
 | 6     8     3     | 127   27    9     | 5     4     17    |
 | 2     7     1     | 8     4     5     | 6     9     3     |
 |-------------------+-------------------+-------------------|
 | 39    246   8     | 5     27    24    | 1     37    469   |
 | 1     24    47    | 2347  9     6     | 8     37    5     |
 | 39    5     467   | 347   1     8     | 49    2     469   |
 |-------------------+-------------------+-------------------|
 | 7     3     46    | 469   8     1     | 49    5     2     |
 | 8     1     2     | 49    5     7     | 3     6     49    |
 | 5     46    9     | 246   3     24    | 7     18    18    |
 *-----------------------------------------------------------*

The <18> UR says that r1c9=7 must occur.

The <17> UR says that r1c9=8 and/or r2c4=2 must occur.

Combining the two UR constraints leads to r1c9=7 and r2c4=2.

We won't even consider the <46> DP pattern in bands 2 & 3 !!!


Last edited by daj95376 on Wed Jul 07, 2010 12:03 am; edited 1 time in total
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Marty R.



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

PostPosted: Wed Jul 07, 2010 12:01 am    Post subject: Reply with quote

Quote:
Marty: Given my solver's solution, your solution turns out to be a wise choice.

Well, mine wasn't so wise. My grid didn't have the 18 UR as a Type 1, so I wasn't able to make the conclusion about r1c9. Mine felt too much like T&E.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Wed Jul 07, 2010 12:52 am    Post subject: Reply with quote

What Ted said. Nice solution Marty.
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