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Apr 14 VH

 
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Clement



Joined: 24 Apr 2006
Posts: 925
Location: Dar es Salaam Tanzania

PostPosted: Fri Apr 13, 2018 9:56 pm    Post subject: Apr 14 VH Reply with quote

Code:

+--------+--------------+--------------+
| 5 69 4 | 17  1369 367 | 8    269 269 |
| 8 69 3 | 56  569  2   | 7    1   4   |
| 1 2  7 | 8   69   4   | 69   3   5   |
+--------+--------------+--------------+
| 3 1  9 | 56  4    56  | 2    7   8   |
| 7 4  5 | 3   2    8   | 169  69  169 |
| 6 8  2 | 9   7    1   | 5    4   3   |
+--------+--------------+--------------+
| 4 5  1 | 2   36   9   | 36   8   7   |
| 9 7  6 | 14  8    35  | 134  25  12  |
| 2 3  8 | 147 156  57-6| 1469 569 169 |
+--------+--------------+--------------+

XY-Wing 35-6 pivoted in r8c6; r9c6 <> 6; stte
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AjÚ Dimonios



Joined: 01 May 2017
Posts: 320
Location: Sassari Italy

PostPosted: Fri Apr 13, 2018 10:26 pm    Post subject: Reply with quote

Hi everyone
Code:

+--------+----------------+--------------+
| 5 69 4 | 17    13   37  | 8    269 269 |
| 8 69 3 | 56    569  2   | 7    1   4   |
| 1 2  7 | 8     69   4   | 69   3   5   |
+--------+----------------+--------------+
| 3 1  9 | 56    4    56  | 2    7   8   |
| 7 4  5 | 3     2    8   | 169  69  169 |
| 6 8  2 | 9     7    1   | 5    4   3   |
+--------+----------------+--------------+
| 4 5  1 | 2     36   9   | 36   8   7   |
| 9 7  6 | 14    8    35  | 134  25  12  |
| 2 3  8 | 147   156  567 | 1469 569 169 |
+--------+----------------+--------------+

Play this puzzle online at the Daily Sudoku site
[(5-6)R2C4=6R23C5-(6=3)R7C5 and 5R2C4-5R4C4=5R4C6-(5=3)R8C6]=>contradiction ( two 3 in Bloc 8 )=>-5R2C4 =>stte
Ciao a tutti Paolo
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George Woods



Joined: 28 Mar 2006
Posts: 303
Location: Dorset UK

PostPosted: Sat Apr 14, 2018 1:22 pm    Post subject: 356 wing Reply with quote

Your use of the wing Clement sets r9c6 to not 6 But the wing at r4c6 can be extended (by 56s) to r2c4 so r3c5 becomes 9 and thereafter solution is easy
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Apr 14, 2018 2:44 pm    Post subject: Reply with quote

Quote:

Your use of the wing Clement sets r9c6 to not 6 But the wing at r4c6


What wing is that, George? (I'm still looking).
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George Woods



Joined: 28 Mar 2006
Posts: 303
Location: Dorset UK

PostPosted: Sun Apr 15, 2018 11:38 am    Post subject: w wing solution Reply with quote

356 and the result of the extension is exactly the same as Clement's solution
since the 6''s confined to col 5 in box 8 give the same solution i.e r3c5=9
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sun Apr 15, 2018 4:18 pm    Post subject: Re: w wing solution Reply with quote

George Woods wrote:
356 and the result of the extension is exactly the same as Clement's solution
since the 6''s confined to col 5 in box 8 give the same solution i.e r3c5=9


George, I'm sorry, I'm just not understanding. In your first post you mentioned a wing at r4c6. I don't know what that means, At r4c6. I don't see anything there. In your 2nd post you entered "W-Wing solution" in the subject line and I can't find a W-Wing and I don't know what you mean by "356 and the result of the extension".

The only thing I can find in wings is a 35-6 XY-Wing pivoted at r8c6 which => -6r9c6. I don't know if that elimination does anything. If it doesn't we can do a pincer transport of the 6 from r4c6 to r2c1 which => -6r3c5.

Finally, I don't understand "6s confined to col 5 in box 8" since there is a 6 in r9c6.

P.S. Looking again at Clement's post, he is saying that his elimination at r9c6 solves the puzzle, thus no transport is necessary.

Code:
+--------+--------------+--------------+
| 5 69 4 | 17  1369 367 | 8    269 269 |
| 8 69 3 | 56  569  2   | 7    1   4   |
| 1 2  7 | 8   69   4   | 69   3   5   |
+--------+--------------+--------------+
| 3 1  9 | 56  4    56  | 2    7   8   |
| 7 4  5 | 3   2    8   | 169  69  169 |
| 6 8  2 | 9   7    1   | 5    4   3   |
+--------+--------------+--------------+
| 4 5  1 | 2   36   9   | 36   8   7   |
| 9 7  6 | 14  8    35  | 134  25  12  |
| 2 3  8 | 147 156  57-6| 1469 569 169 |
+--------+--------------+--------------+
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George Woods



Joined: 28 Mar 2006
Posts: 303
Location: Dorset UK

PostPosted: Mon Apr 16, 2018 2:46 pm    Post subject: Reply with quote

The 356 is exactly the same as clement's except it can be extended since if r4c6 is 6 then r2c4 is 6 so the xy wing (with extension) takes out all the 6 in col4 of box 2
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Clement



Joined: 24 Apr 2006
Posts: 925
Location: Dar es Salaam Tanzania

PostPosted: Tue Apr 17, 2018 10:23 pm    Post subject: Apr 14 VH Reply with quote

George Woods wrote:
The 356 is exactly the same as clement's except it can be extended since if r4c6 is 6 then r2c4 is 6 so the xy wing (with extension) takes out all the 6 in col4 of box 2
Eliminating 6 in r9c6 confines the 6's in BOX 8 in col 5 setting r3c5 to 9 and r2c5 to 5 which goes on solving the puzzle with singles to the end(stte).
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RobertRattley



Joined: 24 Jun 2007
Posts: 82
Location: Australia

PostPosted: Sat Apr 21, 2018 3:07 pm    Post subject: Reply with quote

Further eliminations in box 2 (plus the xy wing)
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