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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Mon May 30, 2011 2:23 am Post subject: Puzzle 11/05/30: B Advanced |
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| Code: | +-----------------------+
| 6 . . | . . 8 | . 5 . |
| . 3 . | 5 . . | . . . |
| . . . | 3 6 7 | . 2 . |
|-------+-------+-------|
| . 5 1 | 8 . 2 | 6 3 . |
| . . 6 | . 1 . | . . 2 |
| 8 . 3 | 6 . . | 1 7 . |
|-------+-------+-------|
| . . . | 2 . 5 | . . . |
| 3 . 8 | 9 . 6 | . . 5 |
| . . . | . 8 . | . 6 . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Jun 01, 2011 4:54 am Post subject: |
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Too many moves for this classification of puzzle.
Multi-coloring; r1c2<>9
XYZ-Wing (249); r2c6<>9
Coloring; r5c2, r7c1<>7
W-Wing (49); r3c3<>4
XY-Wing (174), flightless with transport; r5c2<>4 |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Jun 01, 2011 5:34 am Post subject: |
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Marty,
| Code: | after basics
+-----------------------------------------------------------------------+
| 6 149 249 | 14 249 8 | 37 5 37 |
| 12479 3 2479 | 5 249 149 | 8 49 6 |
| 459 8 459 | 3 6 7 | 49 2 1 |
|-----------------------+-----------------------+-----------------------|
| 47 5 1 | 8 479 2 | 6 3 49 |
| 479 479 6 | 47 1 3 | 5 8 2 |
| 8 2 3 | 6 5 49 | 1 7 49 |
|-----------------------+-----------------------+-----------------------|
| 1479 6 479 | 2 3 5 | 479 149 8 |
| 3 147 8 | 9 47 6 | 2 14 5 |
| 25 479 25 | 147 8 14 | 3479 6 37 |
+-----------------------------------------------------------------------+
# 61 eliminations remain
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Single-stepper(s):
| Code: | L-Wing: (1)r9c4 = r1c4 - r1c2 = (1-7)r8c2 = (7)r8c5 => r9c4<>7
L-Wing: (1)r8c2 = r1c2 - r1c4 = (1-7)r9c4 = (7)r8c5 => r8c2<>7
W-Wing: (4=1)r8c8 - r8c2 = r1c2 - r2c1 = r2c6 - (1=4)r9c6 => r8c5,r9c7<>4
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Otherwise:
| Code: | r19c79 <37> UR Type 1.2224 <> 37 r9c7
c38\r27 Sashimi X-Wing <> 9 r2c1 extraneous
r39\c27 Sashimi X-Wing <> 9 r1c2
c37r3 Skyscraper <> 4 r7c8,r9c2
<49+7> XY-Wing r5c2/r5c4+r9c2 <> 7 r9c4
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Note: the UR Type 1 cleans up a lot of "real estate" through additional basics.
Regards, Danny
AND ... I've been waiting for an opportunity to make a statement like this:
The W-Wing can be viewed as a flightless 2-String Kite with pincer extensions. _  _ |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Jun 01, 2011 4:50 pm Post subject: |
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Seeing as we have different ideas of what a Kite is, I'd call the two-string kite with extensions Simple Coloring.
As to the 14 W-Wing, I can see that the two 14 cells are linked by three strong links, although my three SLs have different cells than what I see in your notation, which I don't understand. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Jun 01, 2011 5:34 pm Post subject: |
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| Marty R. wrote: | Seeing as we have different ideas of what a Kite is, I'd call the two-string kite with extensions Simple Coloring.
As to the 14 W-Wing, I can see that the two 14 cells are linked by three strong links, although my three SLs have different cells than what I see in your notation, which I don't understand. |
| Code: | +-----------------------------------+
| . 1 . | 1 . . | . . . |
| 1 / / | / / 1 | / / / |
| . / . | . . . | . . 1 |
|-----------+-----------+-----------|
| . / 1 | . . . | . . . |
| . / . | . 1 . | . . . |
| . / . | . . . | 1 . . |
|-----------+-----------+-----------|
| 1 / . | . . . | . 1 . |
| . 1 . | . . . | . 14 . |
| . / . | 1 . 14 | . . . |
+-----------------------------------+
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Whether you call it a Kite or a 2-String Kite (as I learned), there is a strong link on <1> in [r2] and [c2]. This would normally perform the elimination r8c6<>1, but <1> doesn't exist in r8c6. (Yes, there also happens to be a strong link on <1> in [b1], but that isn't of any consequence to the logic.)
Logic: pincer extensions on 2-String Kite -- strong links enclosed in parentheses ()
| Code: | (r8c8<>4 r8c8=1) (r8c2<>1 r1c2=1) (r2c1<>1 r2c6=1) (r9c6<>1 r9c6=4)
| ------- 2-String Kite ------- |
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Any cell that sees r8c8 and r9c6 can have <4> elminated.
Regards, Danny |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Jun 01, 2011 7:15 pm Post subject: |
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| Quote: | | Whether you call it a Kite or a 2-String Kite |
I don't call it either. I learned Kites as a perpendicular version of Skyscrapers which are weakly linked.
My Simple Coloring chain on 1 is:
R8c8, true
R8c2, false
R1c2, true
R1c4, false
R9c4, true
R9c6, false
My personal opinion is that if a move can be described with multiple techniques, then the simplest one should be used, which, in this case, is Simple Coloring in my humble opinion.
Cheers. |
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