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Set G Puzzle 17

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Dec 13, 2008 6:42 pm    Post subject: Set G Puzzle 17 Reply with quote

This puzzle may present a challenge. Particularly if you're searching for the Kraken X-Wing lurking in the background. Fortunately, it isn't necessary to solve the puzzle.

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

Play this puzzle online at the Daily Sudoku site

BTW: Did you enjoy all of the Naked Pairs during the basics?
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sat Dec 13, 2008 8:17 pm    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 2      45     456   | 379    379    8     | 56     1      39    |
| 59     1      3     | 6      4      59    | 7      2      8     |
| 569    7      8     | 2359   1359   12359 | 4      56     39    |
:---------------------+---------------------+---------------------:
| 457    9      2457  | 8      57     6     | 1      3      24    |
| 16     3      16    | 57     2      4     | 9      8      57    |
| 8      45     2457  | 1      39     39    | 56     567    24    |
:---------------------+---------------------+---------------------:
| 57     2      9     | 35     6      357   | 8      4      1     |
| 3      8      57    | 4      15     157   | 2      9      6     |
| 14     6      14    | 29     8      29    | 3      57     57    |
'---------------------'---------------------'---------------------'

skipping the UR's.
Quote:
this solution is all about the 5's.
x-wing on 5 r16c27
opens up a singles chain on 5
(5)r4c5 = (5)r5c4 - (5)r5c9 = (5)r6c7 - (5)r1c7 = (5)r3c8; r3c5 <> 5
the ensuing strong links on 5 in column 5 help this next w-wing...
extended W-wing on (5,7) in r5c4 and r8c3 via the strong links on 5 in column 5, the extension is on the 7 in box 6.

(7=5)r5c4 - (5)r8c5 = (5)r4c5 - (5=7)r5c4 - (7)r5c9 = (7)r6c8; r6c3 <> 7
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Marty R.



Joined: 12 Feb 2006
Posts: 5165
Location: Rochester, NY, USA

PostPosted: Sun Dec 14, 2008 12:26 am    Post subject: Reply with quote

A six-stepper, but I think the first two steps made no contribution.

Quote:
XYZ on 457, Type 4 UR on 24, two ERs, both on 5, Hidden UR on 39 and simple coloring on 5 finished it off
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sun Dec 14, 2008 9:07 pm    Post subject: Reply with quote

I never got off digit <5>. In order, I had a finned x-wing <5>, a x-wing <5>, a finned x-wing <5>, a x-wing <5> and and xy-wing that made a deletion on <5> to finish off the puzzle. I don't recall a previous puzzle where I had several steps, each of which provided deletions on the identical digit only. Smile

I looked for the Kraken x-wing but did not find it.......... Sad

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Dec 14, 2008 10:12 pm    Post subject: Reply with quote

Ted: Since there aren't any 5s in the Givens, you sure made the most of it.

Code:
 after basics:
 +-----------------------------------------------------------------------+
 |  2      45     456    |  379    379    8      |  56     1      39     |
 |  59     1      3      |  6      4      59     |  7      2      8      |
 |  569    7      8      |  2359   1359   12359  |  4      56     39     |
 |-----------------------+-----------------------+-----------------------|
 |  457    9      2457   |  8      57     6      |  1      3      24     |
 |  16     3      16     |  57     2      4      |  9      8      57     |
 |  8      45     2457   |  1      39     39     |  56     567    24     |
 |-----------------------+-----------------------+-----------------------|
 |  57     2      9      |  35     6      357    |  8      4      1      |
 |  3      8      57     |  4      15     157    |  2      9      6      |
 |  14     6      14     |  29     8      29     |  3      57     57     |
 +-----------------------------------------------------------------------+

   c27   X-Wing                          <> 5    [r1c3],[r6c38]
   c3    Naked  Triple                   <> 146  [r46c3]

Code:
 *--------------------------------------------------------------------*
 | 2      45     46     | 379    379    8      | 56     1      39     |
 | 59     1      3      | 6      4      59     | 7      2      8      |
 | 569    7      8      | 2359   1359   12359  | 4      56     39     |
 |----------------------+----------------------+----------------------|
 | 457    9      257    | 8      57     6      | 1      3      24     |
 | 16     3      16     | 57     2      4      | 9      8      57     |
 | 8      45     27     | 1      39     39     | 56     67     24     |
 |----------------------+----------------------+----------------------|
 | 57     2      9      | 35     6      357    | 8      4      1      |
 | 3      8      57     | 4      15     157    | 2      9      6      |
 | 14     6      14     | 29     8      29     | 3      57     57     |
 *--------------------------------------------------------------------*

 Kraken X-Wing c35\r48 w/ext fin cell [r3c5]
 X-Wing =>                    [r4c1]<>5,                     [r8c6]<>5
 [r3c5]=5 [r2c6]<>5 [r2c1]=5 ([r4c1]<>5) [r7c1]<>5 [r8c3]=5 ([r8c6]<>5)
 +-----------------------------------+
 |  .  5  .  |  .  .  .  |  5  .  .  |
 |  5  .  .  |  .  .  5  |  .  .  .  |
 |  5  .  .  |  5 @5  5  |  .  5  .  |
 |-----------+-----------+-----------|
 | -5  . *5  |  . *5  .  |  .  .  .  |
 |  .  .  .  |  5  .  .  |  .  .  5  |
 |  .  5  .  |  .  .  .  |  5  .  .  |
 |-----------+-----------+-----------|
 |  5  .  .  |  5  .  5  |  .  .  .  |
 |  .  . *5  |  . *5 -5  |  .  .  .  |
 |  .  .  .  |  .  .  .  |  .  5  5  |
 +-----------------------------------+

My solver's solution, sans basics, for the puzzle:

Code:
   c27   X-Wing                          <> 5    [r1c3],[r6c38]
         Colors                          <> 5    [r3c5]
   c35   X-Wing                          <> 5    [r4c1],[r8c6]
         XY-Wing  [r4c1]/[r4c5]+[r6c2]   <> 5    [r4c3]

I'm impressed with the interesting solutions everyone is finding in my puzzles Exclamation
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