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Extreme: Set E Puzzle 3

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Nov 25, 2008 10:20 am    Post subject: Extreme: Set E Puzzle 3 Reply with quote

While I'm looking for Moderate puzzles, maybe you'd like to play with this extreme puzzle. At least, that's what I'd call it. You're not allowed to say what you'd call it. Very Happy

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

Play this puzzle online at the Daily Sudoku site

After Basics wrote:
Lenghty Remote Pair chain => 3x eliminations in (29)
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tlanglet



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

PostPosted: Tue Nov 25, 2008 3:07 pm    Post subject: Reply with quote

Well, this was a uniquely different puzzle I used five steps but only two techniques as follows.
Quote:
A four cell Remote Pair on <29> with deletions in r2c9
Another four cell Remote Pair on <<29> with deletions in r8c6
A six cell Remote Pair on <29> with deletions in r3c4
An eight cell Remote Pair on <29> with deletions in r6c8
A w=wing on <28> in r2c8 & r7c1 with sl in row <3> to delete <8> in r7c8 and complete the puzzle.

Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1029
Location: Vienna, Austria

PostPosted: Tue Nov 25, 2008 3:57 pm    Post subject: Reply with quote

Extreme, yes.
Coloring 2,
Coloring 9
Coloring 2
....
I lost track how often I found one more elimination in either 2 or 9.
Finally, again using a strong link (2), but this time as a w-wing:

w-wing (8)r7c1=r2c8 via SL (2) in row 3.
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Nov 25, 2008 5:05 pm    Post subject: Reply with quote

Ted: Your final elimination can also be viewed as the general form of the technique you used for your first three eliminations. Evil or Very Mad
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keith



Joined: 19 Sep 2005
Posts: 3184
Location: near Detroit, Michigan, USA

PostPosted: Tue Nov 25, 2008 10:19 pm    Post subject: Reply with quote

daj95376 wrote:
Ted: Your final elimination can also be viewed as the general form of the technique you used for your first three eliminations. Evil or Very Mad

Question Are you saying the <28> cells are a remote pair? I don't think so.

Actually, they are a complementary pair. Via strong links on <8>, you can say they have the same value. This solves them directly: The W-wing says one or both are <8>. If they are the same, they must both be <8>.

Code:
+-------------+-------------+-------------+
| 1   29  8   | 26  4   5   | 267 279 3   |
| 5   4   7   | 3   29  269 | 1   28  68  |
| 29  3   6   | 7   8   1   | 5   29  4   |
+-------------+-------------+-------------+
| 6   1   29  | 8   29  3   | 47  45  57  |
| 7   8   5   | 4   6   29  | 3   1   29  |
| 3   29  4   | 5   1   7   | 8   6   29  |
+-------------+-------------+-------------+
| 28  67  3   | 9   5   4   | 267 278 1   |
| 249 56  29  | 1   7   68  | 24  3   568 |
| 48  567 1   | 26  3   268 | 9   45  578 |
+-------------+-------------+-------------+

I had the same solution as Ted, with the addition of a skyscraper that takes out <6> in R9C9.

Keith
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arkietech



Joined: 31 Jul 2008
Posts: 1734
Location: Northwest Arkansas USA

PostPosted: Tue Nov 25, 2008 11:43 pm    Post subject: Reply with quote

Code:
 *--------------------------------------------------*
 | 1    29   8    | 26   4    5    | 267  279  3    |
 | 5    4    7    | 3   B29   269  | 1   A28   68   |
 | 29   3    6    | 7    8    1    | 5    29   4    |
 |----------------+----------------+----------------|
 | 6    1   D29   | 8   C29   3    | 47   45   57   |
 | 7    8    5    | 4    6    29   | 3    1    29   |
 | 3    29   4    | 5    1    7    | 8    6    29   |
 |----------------+----------------+----------------|
 |F28   67   3    | 9    5    4    | 267  27-8 1    |
 | 249  56  E29   | 1    7    68   | 24   3    568  |
 | 48   567  1    | 26   3    268  | 9    45   578  |
 *--------------------------------------------------*
xy-chain
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