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Another Menneske

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Thu Dec 01, 2011 2:19 am    Post subject: Another Menneske Reply with quote
Interesting. The chain gang might enjoy this.
Code:
Puzzle: M5128761sh(7)
+-------+-------+-------+
| 1 . . | 9 . . | . . 8 |
| . . . | . . . | . 2 . |
| . . 3 | . 4 . | 5 . 6 |
+-------+-------+-------+
| . . 9 | . 3 8 | 6 . . |
| . 4 2 | 5 . 7 | 3 8 . |
| . . 7 | 6 9 . | 2 . . |
+-------+-------+-------+
| 7 . 1 | . 5 . | 8 . . |
| . 9 . | . . . | . . . |
| 3 . . | 8 . . | . . 7 |
+-------+-------+-------+
Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Dec 01, 2011 5:49 am    Post subject: Reply with quote
I'm not a card-carrying member of the chain gang, but I used one since you planted the seed. The 4 in r8c1 proves 2 in r3c6; r3c1<>2. I suppose this would be called an AIC since one trivalue cell precludes it from being an XY-Chain.

Code:

+-------------+-------------+----------------+
| 1  2567 456 | 9   26 2356 | 47  34    8    |
| 49 567  456 | 13  8  56   | 479 2     13   |
| 29 8    3   | 7   4  12   | 5   19    6    |
+-------------+-------------+----------------+
| 5  1    9   | 2   3  8    | 6   7     4    |
| 6  4    2   | 5   1  7    | 3   8     9    |
| 8  3    7   | 6   9  4    | 2   15    15   |
+-------------+-------------+----------------+
| 7  26   1   | 34  5  2369 | 8   3469  23   |
| 24 9    8   | 134 7  1236 | 14  13456 1235 |
| 3  256  456 | 8   26 1269 | 149 1469  7    |
+-------------+-------------+----------------+

Play this puzzle online at the Daily Sudoku site
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
PostPosted: Thu Dec 01, 2011 1:32 pm    Post subject: Reply with quote
Hell too Wink or ... Rolling Eyes : Skyscraper(1r3c8=r3c6-r9c6=r9c7)-9r9c7=9r2c7 => -9r3c8; stte
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Thu Dec 01, 2011 2:15 pm    Post subject: Reply with quote
JC Van Hay wrote:
Skyscraper(1r3c8=r3c6-r9c6=r9c7)-9r9c7=9r2c7 => -9r3c8; stte
Cool I like it
Code:
 *-----------------------------------------------------------*
 | 1     2567  456   | 9     26    2356  | 47    34    8     |
 | 49    567   456   | 13    8     56    |#479   2     13    |
 | 29    8     3     | 7     4    *12    | 5    *19    6     |
 |-------------------+-------------------+-------------------|
 | 5     1     9     | 2     3     8     | 6     7     4     |
 | 6     4     2     | 5     1     7     | 3     8     9     |
 | 8     3     7     | 6     9     4     | 2     15    15    |
 |-------------------+-------------------+-------------------|
 | 7     26    1     | 34    5     2369  | 8     3469  23    |
 | 24    9     8     | 134   7     1236  | 14    3456  235   |
 | 3     256   456   | 8     26   *1269  |*149   469   7     |
 *-----------------------------------------------------------*
 (1=9)r3c8-(9)r2c7=(9-1)r9c7=(1)r9c6-(1)r3c6=(1)r3c8 => r3c8=1
 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Dec 01, 2011 3:49 pm    Post subject: Reply with quote
My chain was a little longer........

(4=9)r2c1-(9=2)r3c1-(2=1)r3c6-r2c4=r8c4-(1=4)r8c7; r8c1<>4

Ted

P.S. The skyscraper is great Exclamation
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Dec 01, 2011 4:19 pm    Post subject: Reply with quote
An 'Almost" solution is:

anp(34=1)r78c4-(1=4)r8c7-r12c7=(4-3)r1c8=r2c9; r2c4<>3

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Dec 01, 2011 5:48 pm    Post subject: Reply with quote
Would somebody be kind enough to explain that Skyscraper?
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Thu Dec 01, 2011 8:33 pm    Post subject: Reply with quote
Marty R. wrote:
Would somebody be kind enough to explain that Skyscraper?
Code:
 *-----------------------------------------------------------*
 | 1     2567  456   | 9     26    2356  | 47    34    8     |
 | 49    567   456   | 13    8     56    |#479   2     13    |
 | 29    8     3     | 7     4    *12    | 5    *19    6     |
 |-------------------+-------------------+-------------------|
 | 5     1     9     | 2     3     8     | 6     7     4     |
 | 6     4     2     | 5     1     7     | 3     8     9     |
 | 8     3     7     | 6     9     4     | 2     15    15    |
 |-------------------+-------------------+-------------------|
 | 7     26    1     | 34    5     2369  | 8     3469  23    |
 | 24    9     8     | 134   7     1236  | 14    3456  235   |
 | 3     256   456   | 8     26   *1269  |*149   469   7     |
 *-----------------------------------------------------------*


with the skyscraper(*) r3c8 or r9c7 either must be a 1
if r3c8 is a 9 then r9c7 is also a 9 (because #r2c7 cannot be 9) neither is a 1
so r3c8 cannot be a 9 and must be a 1
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Thu Dec 01, 2011 10:08 pm    Post subject: Reply with quote
Marty R. wrote:
Would somebody be kind enough to explain that Skyscraper?

I'm not sure what's confusing you. For me, I had to ignore your grid and work from Dan's. Then, the fruitless Skyscraper for <1> is in r39c6. JC uses an X-Chain (in parentheses) containing the Skyscraper cells, and extends it to derive an elimination.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Fri Dec 02, 2011 1:27 am    Post subject: Reply with quote
Oops, I see I missed the locked 1s in c7. Embarassed

Thanks for the explanation Dan.

Quote:
I'm not sure what's confusing you.

Thanks for the response Danny, but I thought you knew that I'm not fluent in Eureka. Embarassed
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Fri Dec 02, 2011 2:48 am    Post subject: Reply with quote
After basics:

Code:
+----------------+----------------+----------------+
| 1    2567 456  | 9    26   2356 | 47   34*  8    |
| 49   567  456  | 13#  8    56   | 479  2    13#  |
| 29   8    3    | 7    4    12   | 5    19   6    |
+----------------+----------------+----------------+
| 5    1    9    | 2    3    8    | 6    7    4    |
| 6    4    2    | 5    1    7    | 3    8    9    |
| 8    3    7    | 6    9    4    | 2    15   15   |
+----------------+----------------+----------------+
| 7    26   1    | 34*  5    2369 | 8   3-469 23   |
| 24   9    8    | 134  7    1236 | 14   3456 235  |
| 3    256  456  | 8    26   1269 | 149  469  7    |
+----------------+----------------+----------------+
W-wing -4 in R7C8.
Code:
+----------------+----------------+----------------+
| 1    2567 456  | 9    26   2356 |-47  A34   8    |
| 49   567  456  |C13   8    56   |-479  2   B13   |
| 29   8    3    | 7    4    12   | 5    19   6    |
+----------------+----------------+----------------+
| 5    1    9    | 2    3    8    | 6    7    4    |
| 6    4    2    | 5    1    7    | 3    8    9    |
| 8    3    7    | 6    9    4    | 2    15   15   |
+----------------+----------------+----------------+
| 7    26   1    | 4    5    2369 | 8    369  23   |
| 24   9    8    |D13   7    1236 |E14  3-456 235  |
| 3    256  456  | 8    26   1269 | 149 -469  7    |
+----------------+----------------+----------------+
Extended XY-wing: AE are pincers on 4.
Keith
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