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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Mon Feb 14, 2022 6:20 pm    Post subject: VH++ 021422 |   |  
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				| Hello all, enjoy the puzzle. Happy Valentine's Day! 
 
  	  | Code: |  	  | +-------+-------+-------+
 | . . . | . . . | 3 2 . |
 | . 8 . | . 3 5 | . 4 . |
 | . . . | . . . | . . 5 |
 +-------+-------+-------+
 | . . . | 6 8 . | 9 . . |
 | . 6 . | 9 5 7 | 2 1 . |
 | . 7 . | . 4 . | . . . |
 +-------+-------+-------+
 | 2 5 . | 7 9 . | . . 3 |
 | 6 1 . | . 2 . | . . . |
 | . . 4 | . . . | 8 . . |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 cheers...immp
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Mon Feb 14, 2022 11:31 pm    Post subject: VH + + 021422 |   |  
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				|  	  | Code: |  	  | +----------------------+--------------------+-----------------+
 | 14579   49     15679 | 148    167   1689  | 3     2     189 |
 | 179     8      12679 | 12     3     5     | 67    4     19  |
 | 13479   2349   12679 | 1248   167   12689 | 67    89    5   |
 +----------------------+--------------------+-----------------+
 | 145     24     125   | 6      8     123   | 9     3-7  a47  |
 |b48      6      3     | 9      5     7     | 2     1    a48  |
 |c189     7     d129   | 123    4     123   | 5     38    6   |
 +----------------------+--------------------+-----------------+
 | 2       5      8     | 7      9     4     | 1     6     3   |
 | 6       1     e79    | 38     2     38    | 4     5    f79  |
 | 379     39     4     | 5      16    16    | 8    g79    2   |
 +----------------------+--------------------+-----------------+
 
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 (7=48)r45c9 - (8)r5c1 = (8-9)r6c1 = r6c3 - r8c3 = r8c9 - (9=7)r9c8 => - 7r4c8; btte
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Tue Feb 15, 2022 4:20 pm    Post subject: |   |  
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				| Not as elegant: 
 
  	  | Code: |  	  | Remove                                     Put back ||                                           ||
 \/                                           \/
 (9)r3c8=r9c8-r8c9=r8c3-r6c3=(9-8)r6c1=r6c8-(8=9)r3c8
 
 So r3c8 = 9
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Tue Feb 15, 2022 6:54 pm    Post subject: |   |  
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				| We said that r3c8 is not 9. The chain proves us wrong! It is 9. It is elegant, why not. 	  | Mogulmeister wrote: |  	  | Not as elegant: 
 
  	  | Code: |  	  | Remove                                     Put back ||                                           ||
 \/                                           \/
 (9)r3c8=r9c8-r8c9=r8c3-r6c3=(9-8)r6c1=r6c8-(8=9)r3c8
 
 So r3c8 = 9
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Tue Feb 15, 2022 6:56 pm    Post subject: |   |  
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				| We said that r3c8 is not 9. The chain proves us wrong! It is 9. It is elegant, why not. 	  | Mogulmeister wrote: |  	  | Not as elegant: 
 
  	  | Code: |  	  | Remove                                     Put back ||                                           ||
 \/                                           \/
 (9)r3c8=r9c8-r8c9=r8c3-r6c3=(9-8)r6c1=r6c8-(8=9)r3c8
 
 So r3c8 = 9
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Wed Feb 16, 2022 6:42 am    Post subject: |   |  
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				| I guess (in my mind at least) that it is down to aesthetics, Clement. My chain is a contradiction loop, has more steps and it ends where it started. 
 I found your chain and its conclusion to be "less agricultural".
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Wed Feb 16, 2022 4:20 pm    Post subject: |   |  
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				| I found your chain and its conclusion to be "less agricultural".  [/quote]O.K by a difference of one acre. |  | 
	
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Wed Feb 16, 2022 4:57 pm    Post subject: |   |  
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