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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Mon Jan 26, 2009 11:28 pm Post subject: Set NNP Puzzle 77 |
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Advanced.
| Code: | +-----------------------+
| . . . | . . . | 9 7 . |
| . . . | . . 1 | . . . |
| . . 9 | 2 7 4 | . . 1 |
|-------+-------+-------|
| . . 5 | 1 . . | 8 . . |
| . . 7 | . 2 3 | . 1 . |
| . 9 1 | . 4 8 | 7 5 . |
|-------+-------+-------|
| 1 . . | 4 . 5 | . . . |
| 5 . . | . 3 9 | . 4 . |
| . . 3 | . . . | . . 7 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Jan 27, 2009 7:06 am Post subject: |
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| Code: | .------------------.------------------.------------------.
| 28 1 248 | 3 58 6 | 9 7 45 |
| 7 368 468 | 9 58 1 | 2346 238 456 |
| 368 5 9 | 2 7 4 | 36 38 1 |
:------------------+------------------+------------------:
| 2346 236 5 | 1 9 7 | 8 23 46 |
| 468 68 7 | 5 2 3 | 46 1 9 |
| 23 9 1 | 6 4 8 | 7 5 23 |
:------------------+------------------+------------------:
| 1 7 28 | 4 6 5 | 23 9 238 |
| 5 268 268 | 7 3 9 | 1 4 28 |
| 9 4 3 | 8 1 2 | 5 6 7 |
'------------------'------------------'------------------' |
extended w-wing... (2=3)r7c7 - (3)r7c9 = (3)r6c9 - (3=2)r6c1 - (2)r1c1 = (2)r1c3; r7c3 <> 2
extended w-wing... (4=6)r5c7 - (6)r23c7 = (6)r2c9 - (6=4)r2c3 - (4)r1c3 = (4)r9c1; r4c9 <> 4
chain... (6=8)r5c1 - (8)r13c1 = (8)r2c2 - (8=5)r2c5 - (5=4)r2c9 - (4=6)r2c3 - (6)r8c3 = (6)r8c2; r5c2 <> 6
BUG+1 - r2c8 is 3 |
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wapati
Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
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| Posted: Tue Jan 27, 2009 1:35 pm Post subject: |
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I spent a couple of pleasant hours on this one and didn't find a shorter path than Norm's. Here is my simplest effort.
ER in box 6 or 2-string kite from box 4, on 2s.
| Code: | .------------------.------------------.------------------.
| 28 1 248 | 3 58 6 | 9 7 45 |
| 7 368 468 | 9 58 1 | 2346 238 456 |
| 368 5 9 | 2 7 4 | 36 38 1 |
:------------------+------------------+------------------:
| 2346 236 5 | 1 9 7 | 8 23 46 |
| 468 68 7 | 5 2 3 | 46 1 9 |
| 23 9 1 | 6 4 8 | 7 5 23 |
:------------------+------------------+------------------:
| 1 7 28 | 4 6 5 | 23 9 238 |
| 5 268 268 | 7 3 9 | 1 4 8-2 |
| 9 4 3 | 8 1 2 | 5 6 7 |
'------------------'------------------'------------------' |
W-wing using 46 pair as the endpoints.
| Code: | .------------------.------------------.------------------.
| 28 1 #24 | 3 58 6 | 9 7 #45 |
| 7 368 *46 | 9 58 1 | 2346 238 45-6 |
| 368 5 9 | 2 7 4 | 36 38 1 |
:------------------+------------------+------------------:
| 2346 236 5 | 1 9 7 | 8 23 *46 |
| 468 68 7 | 5 2 3 | 46 1 9 |
| 23 9 1 | 6 4 8 | 7 5 23 |
:------------------+------------------+------------------:
| 1 7 8 | 4 6 5 | 23 9 23 |
| 5 26 26 | 7 3 9 | 1 4 8 |
| 9 4 3 | 8 1 2 | 5 6 7 |
'------------------'------------------'------------------' |
ALS or 5 cell xy-chain. Same cells and eliminations.
| Code: | .--------------.----------.--------------.
|*28 1 24 | 3 58 6 | 9 7 45 |
| 7 36-8 46 | 9 58 1 | 236 238 45 |
| 368 5 9 | 2 7 4 | 36 38 1 |
:--------------+----------+--------------:
| 4 *23 5 | 1 9 7 | 8 23 6 |
| 6-8 *68 7 | 5 2 3 | 4 1 9 |
|*23 9 1 | 6 4 8 | 7 5 23 |
:--------------+----------+--------------:
| 1 7 8 | 4 6 5 | 23 9 23 |
| 5 *26 26 | 7 3 9 | 1 4 8 |
| 9 4 3 | 8 1 2 | 5 6 7 |
'--------------'----------'--------------' |
This gets us to a skyscraper or a remote pair or a BUG, your choice? |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue Jan 27, 2009 5:33 pm Post subject: |
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I had a four step solution.
1) Either multi-coloring on <2> or a Type 6 UR28 with strong link on <8> in col9. They both provide the same final result.
2) xyz-wing 456 with pivot at r2c9
3) Coloring on <3>
4) BUG+1 sets r2c2=6
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri Jan 30, 2009 2:31 am Post subject: |
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I started out with an XY-Wing Chain (28-23-23-23-3 . Then a Hidden UR (2, multi- and single coloring (3), two ERs (6, 2) and a W-Wing (46).
(I give up, you figure it out, I can't avoid the unintended smileys).
That brought me here:
| Code: |
+-----------+--------+----------+
| 28 1 24 | 3 58 6 | 9 7 45 |
| 7 368 46 | 9 58 1 | 26 23 45 |
| 36 5 9 | 2 7 4 | 36 8 1 |
+-----------+--------+----------+
| 4 23 5 | 1 9 7 | 8 23 6 |
| 68 68 7 | 5 2 3 | 4 1 9 |
| 23 9 1 | 6 4 8 | 7 5 23 |
+-----------+--------+----------+
| 1 7 8 | 4 6 5 | 23 9 23 |
| 5 26 26 | 7 3 9 | 1 4 8 |
| 9 4 3 | 8 1 2 | 5 6 7 |
+-----------+--------+----------+
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Play this puzzle online at the Daily Sudoku site
It's an obvious BUG+1. But I had more fun with the W-Wing on 26 in r2c7 and r8c2. This is connected by three strong links on 6. R3c7>>r3c1>>r5c1>>r5c2. Then transport the 2 pincer from r2c7 to r4c8, taking out the 2 from r4c2. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Fri Jan 30, 2009 4:39 am Post subject: |
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| Quote: | | (I give up, you figure it out, I can't avoid the unintended smileys). |
Marty,
If you go into edit mode, you will see that 8) is the "cool" smiley.
You should click the option "Disable Smilies in this post".
By the way, this is the reason I use <> instead of () in my messages. Fewer unintended consequences.
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri Jan 30, 2009 4:47 am Post subject: |
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| Thanks Keith, that's useful info. This wasn't the first time it's happened. |
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