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Puzzle NR 09/12/02

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Thu Dec 03, 2009 3:35 am    Post subject: Puzzle NR 09/12/02 Reply with quote
Code:
 +-----------------------+
 | . 4 . | . 3 . | . . 6 |
 | 9 . . | . 2 4 | 8 . 3 |
 | . . 3 | . . . | . . . |
 |-------+-------+-------|
 | . . . | . . 7 | . . . |
 | 2 7 . | . 1 6 | . 3 9 |
 | . 9 . | 2 8 . | . 7 . |
 |-------+-------+-------|
 | . 2 . | . . . | 3 . 4 |
 | . . . | . 6 2 | . . . |
 | 8 3 . | . 4 . | 7 . 2 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Thu Dec 03, 2009 6:39 pm    Post subject: Reply with quote
Code:
+-----------------------+----------------+--------------------+
| 7(15)  4       2      | 1578  3   158  | 15     9      6    |
| 9      6(-15)  67(15) | 1567  2   4    | 8      (15)   3    |
| 6(15)  8       3      | 1569  59  159  | 24     24     7    |
+-----------------------+----------------+--------------------+
| 3      156     1456   | 459   59  7    | 12456  24     8    |
| 2      7       8      | 45    1   6    | 45     3      9    |
| 1456   9       1456   | 2     8   3    | 1456   7      15   |
+-----------------------+----------------+--------------------+
| 6-15   2       1569   | 1589  7   1589 | 3      6(15)  4    |
| 47     (15)    47     | 3     6   2    | 9      8      (15) |
| 8      3       1569   | 159   4   159  | 7      6(15)  2    |
+-----------------------+----------------+--------------------+

1's... r8c2=r8c9-r79c8=r2c8-r2c23=r13c1; r7c1, r2c2 <> 1
5's... ditto; r7c1, r2c2 <> 5

Code:
+-------------------+----------------+------------------+
| 157   4     2     | 1578  3   158  | 15      9   6    |
| 9     6     157   | 157   2   4    | 8       15  3    |
| 15    8     3     | 6     59  159  | 24      24  7    |
+-------------------+----------------+------------------+
| 3     1(5)  1456  | 459   59  7    | 1246-5  24  8    |
| 2     7     8     | 45    1   6    | 45      3   9    |
| 14-5  9     146-5 | 2     8   3    | 1456    7   1(5) |
+-------------------+----------------+------------------+
| 6     2     159   | 1589  7   1589 | 3       15  4    |
| 47    1(5)  47    | 3     6   2    | 9       8   1(5) |
| 8     3     159   | 159   4   159  | 7       6   2    |
+-------------------+----------------+------------------+

skyscraper on 5
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Thu Dec 03, 2009 8:43 pm    Post subject: Reply with quote
Congratulations Norm on a great find !!!

My solver found 2x overlapping 2-String Kites and performed r2c2<>15. However, it's (currently) not capable of finding the grouped strong link in b1, so it wasn't able to extend the path.

However, I'm surprised that you didn't use the <15> as a classic Remote Pair in the second grid.

Code:
+-------------------+----------------+------------------+
| 157   4     2     | 1578  3   158  | 15      9   6    |
| 9     6     157   | 157   2   4    | 8       15  3    |
| 15    8     3     | 6     59  159  | 24      24  7    |
+-------------------+----------------+------------------+
| 3    (15)   1456  | 459   59  7    | 246-15  24  8    |
| 2     7     8     | 45    1   6    | 45      3   9    |
| 4-15  9     46-15 | 2     8   3    | 1456    7  (15)  |
+-------------------+----------------+------------------+
| 6     2     159   | 1589  7   1589 | 3       15  4    |
| 47   (15)   47    | 3     6   2    | 9       8  (15)  |
| 8     3     159   | 159   4   159  | 7       6   2    |
+-------------------+----------------+------------------+

Regards, Danny
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Dec 04, 2009 1:42 am    Post subject: Reply with quote
How about the 24 UR?

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Dec 04, 2009 5:49 pm    Post subject: Reply with quote
keith wrote:
How about the 24 UR?

It's a good find, but proved to be extraneous in the various solutions my solver proposed for the puzzle. Similarly, for the <59> and <45> UR eliminations.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Dec 05, 2009 12:27 am    Post subject: Reply with quote
I used six steps, some of which appear unnecessary given the comments already posted.

Type 1 UR 24,
ER on 5,
A w-wing 15 with pincers in r2c8 & r6c9. col7 has a strong link in both 1 & 5. However for both cases, the pincer in r6c9 must be transported to r8c2 to delete both 1 & 5 from r2c2.
Remote Pair15 deletes 15 from two cells: r6c13.
Finally coloring on 5 deletes a bunch to complete the puzzle.

Ted
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