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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Thu Mar 02, 2023 7:14 pm    Post subject: VH+ 030223 |   |  
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				| Hello all, enjoy the puzzle. 
 
  	  | Code: |  	  | +-------+-------+-------+
 | . 5 . | 2 . 7 | . 3 . |
 | 7 . 4 | . . . | 2 . 8 |
 | . 2 . | . . . | . 4 . |
 +-------+-------+-------+
 | . . 1 | 9 7 3 | 5 . . |
 | . . . | . . . | . . . |
 | . . 2 | . . . | 9 . . |
 +-------+-------+-------+
 | 5 . . | . 1 . | . . 7 |
 | 2 . . | 8 . 6 | . . 4 |
 | . 3 . | . 5 . | . 6 . |
 +-------+-------+-------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 cheers...immp
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		| dongrave 
 
 
 Joined: 06 Mar 2014
 Posts: 572
 
 
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				|  Posted: Sat Mar 04, 2023 6:55 pm    Post subject: |   |  
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				| Thanks for the puzzle immp! 
 After basics:
 
  	  | Code: |  	  | +------------------+---------------+---------------+ | g189   5    f89* |  2    4   7   |  6   3   a1*9 |
 |  7     169   4   |  35   369 159 |  2   19   8   |
 | n169   2     3   | m16   689 189 |  7   4    5   |
 +------------------+---------------+---------------+
 | h468   468   1   |  9    7   3   |  5   28   26  |
 |  3689  6789  5   | L16   2   18  |  4   78   36  |
 | i368   678   2   |  45  k68  45  |  9   178 j136 |
 +------------------+---------------+---------------+
 |  5     489   6   |  34   1   249 |  38  29   7   |
 |  2     19    7   |  8    39  6   |  13  5    4   |
 | e14*89 3    c89  |  7    5   249 | d18  6   b29  |
 +------------------+---------------+---------------+
 
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 Then I used the following: (1*-9)r1c9=r9c9-(9=8)r9c3-[(8=1)r9c7-(189=4*)r9c1 -(8=9*)r1c3]-(1*9=8)r1c1-(4*8=6)r4c1-(68=3)r6c1-(1*3=6)r6c9-r6c5=r5c4-(6=1)r3c4-(19*=6)r3c1 contradiction (i.e. 6r34c1) => r1c9 <> 1; stte.
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Wed Mar 08, 2023 4:52 pm    Post subject: VH + 030223 |   |  
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				| Two steps  	  | Code: |  	  | +---------------------+------------------+-------------------+
 |a189      5       89 | 2     4      7   | 6     3      b19  |
 | 7        169     4  | 35    369    159 | 2     19      8   |
 | 169      2       3  | 16    689    189 | 7     4       5   |
 +---------------------+------------------+-------------------+
 | 468     468      1  | 9     7      3   | 5     28      26  |
 | 3689    6789     5  | 16    2      18  | 4     78      36  |
 | 368     678      2  | 45    68     45  | 9     178     136 |
 +---------------------+------------------+-------------------+
 | 5       489      6  | 34    1      249 | 38    29      7   |
 | 2       19       7  | 8     39     6   | 13    5       4   |
 | 489-1   3       c89 | 7     5      249 |c18    6      c29  |
 +---------------------+------------------+-------------------+
 
 | 
 Step 1: (1)r1c1 - (1-9)r1c9 = (981)r9c937 => - 1r9c1
 
  	  | Code: |  	  | +------------------+-----------------+------------------+
 | 189    5      89 | 2     4     7   | 6    3      d19  |
 | 7      6      4  | 5     3    b19  | 2   c19      8   |
 | 19     2      3  | 16    68    189 | 7    4       5   |
 +------------------+-----------------+------------------+
 | 46     48     1  | 9     7     3   | 5    28      26  |
 | 369   a789    5  | 16    2    a18  | 4   a78      36  |
 | 36     78     2  | 4     68    5   | 9    178     136 |
 +------------------+-----------------+------------------+
 | 5      4-9    6  | 3     1     24  | 8    29      7   |
 | 2      1      7  | 8     9     6   | 3    5       4   |
 |f489    3     f89 | 7     5     24  | 1    6      e29  |
 +------------------+-----------------+------------------+
 
 | 
 Step 2: (9=7|81)r5c286 - (1=9)r2c6 - r2c8 = r1c9 - r9c9 = (9)r9c13 => - 9r7c2; stte
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		| glesco 
 
 
 Joined: 12 May 2022
 Posts: 39
 Location: North Vancouver, BC, Canada
 
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				|  Posted: Fri Mar 10, 2023 7:57 pm    Post subject: |   |  
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				| Several Steps: I) X-wing removing 9s from r1c1, r9c1, r9c6
 II) xy-chain with anchors at r8c2 & r9c7 removing 1s from r9c1, r8c7
 III) Finned x-wing removing 1 from r5c9
 IV) W-wing removing 3s from r5c1, r6c9
 V) xy-chain with anchors at r5c8 & r6c2 removing 7s from r5c2, r6c8
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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Sat Mar 11, 2023 10:34 pm    Post subject: |   |  
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				| Nice path glesco. I don't mind using multiple steps to solve; the one-step solutions are impressive by those that go that route. 
 cheers...immp
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