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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Thu Feb 17, 2022 1:21 pm    Post subject: Enjoy III |   |  
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				|  	  | Code: |  	  | +-------+-------+-------+
 | 6 . . | . . . | . 8 9 |
 | . . . | 7 . 8 | . . 5 |
 | . . 8 | . 9 3 | . . 2 |
 +-------+-------+-------+
 | . 9 . | 5 . . | . . 3 |
 | . . 5 | . 7 2 | . . 4 |
 | . 6 2 | . 3 . | 5 7 8 |
 +-------+-------+-------+
 | . . . | . . 9 | . 5 7 |
 | 5 . . | . . 7 | 2 . . |
 | 9 7 3 | 2 5 6 | 8 . . |
 +-------+-------+-------+
 
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Thu Feb 17, 2022 4:25 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +---------------+------------+-----------+
 | 6    3    147 | 14  2   5  | 147  8  9 |
 | 124  124  9   | 7   146 8  | 146  3  5 |
 | 147  5    8   | 146 9   3  | 1467 16 2 |
 +---------------+------------+-----------+
 | 1478 9    147 | 5   68  14 | 16   2  3 |
 | 3    18   5   | 68  7   2  | 9    16 4 |
 | 14   6    2   | 9   3   14 | 5    7  8 |
 +---------------+------------+-----------+
 | 1248 1248 6   | 148 148 9  | 3    5  7 |
 | 5    148  14  | 3   148 7  | 2    9  6 |
 | 9    7    3   | 2   5   6  | 8    4  1 |
 +---------------+------------+-----------+
 
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Thu Feb 17, 2022 10:34 pm    Post subject: Enjoy III |   |  
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				| Good Puzzle. Opted for Two Steps  	  | Code: |  	  | +---------------------+------------------+-----------------+
 | 6       3       147 | 14     2      5  | 147     8     9 |
 | 124     124     9   | 7      146    8  | 146     3     5 |
 | 147     5       8   | 146    9      3  | 1467    16    2 |
 +---------------------+------------------+-----------------+
 |b1478    9       147 | 5     c68     14 | 16      2     3 |
 | 3       18      5   | 68     7      2  | 9       16    4 |
 | 14      6       2   | 9      3      14 | 5       7     8 |
 +---------------------+------------------+-----------------+
 |a1248    1248    6   | 14-8  d148    9  | 3       5     7 |
 | 5       148     14  | 3     d148    7  | 2       9     6 |
 | 9       7       3   | 2      5      6  | 8       4     1 |
 +---------------------+------------------+-----------------+
 
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 Step 1: (8)r7c1 = r4c1 - r4c5 = (8)r78c5 => - 8r7c4
 [code]
 [code]
 +--------------------+-------------------+---------------+
 | 6      3       B14 | C14     2       5 | 7     8     9 |
 | 12     24       9  | 7      D14      8 | 6     3     5 |
 | 7      5        8  | 6       9       3 | 4     1     2 |
 +--------------------+-------------------+---------------+
 | 8      9        7  | 5       6       4 | 1     2     3 |
 | 3      1        5  | 8       7       2 | 9     6     4 |
 | 4      6        2  | 9       3       1 | 5     7     8 |
 +--------------------+-------------------+---------------+
 | 12     248      6  | 14      148     9 | 3     5     7 |
 | 5      48      A14 | 3       8-14    7 | 2     9     6 |
 | 9      7        3  | 2       5       6 | 8     4     1 |
 +--------------------+-------------------+---------------+
 [/code]
 Step 2: Romote Pairs: (14)r8c3 = r1c3 - r1c4 = (14)r2c5 => - 14r8c5; stte
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		| Clement 
 
 
 Joined: 24 Apr 2006
 Posts: 1113
 Location: Dar es Salaam Tanzania
 
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				|  Posted: Thu Feb 17, 2022 10:57 pm    Post subject: |   |  
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				|  	  | Code: |  	  | +--------------------+-------------------+---------------+
 | 6      3       B14 | C14     2       5 | 7     8     9 |
 | 12     24       9  | 7      D14      8 | 6     3     5 |
 | 7      5        8  | 6       9       3 | 4     1     2 |
 +--------------------+-------------------+---------------+
 | 8      9        7  | 5       6       4 | 1     2     3 |
 | 3      1        5  | 8       7       2 | 9     6     4 |
 | 4      6        2  | 9       3       1 | 5     7     8 |
 +--------------------+-------------------+---------------+
 | 12     248      6  | 14      148     9 | 3     5     7 |
 | 5      48      A14 | 3       8-14    7 | 2     9     6 |
 | 9      7        3  | 2       5       6 | 8     4     1 |
 +--------------------+-------------------+---------------+
 
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 Sorry I could not edit or delete the second step in the above submission
 Step 2: RemotePairs: (14)r8c3 = r1c3 - r1c4 = (14)r2c5 => - 14r8c5; stte
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		| TomC 
 
 
 Joined: 30 Oct 2020
 Posts: 359
 Location: Wales
 
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				|  Posted: Fri Feb 18, 2022 7:48 am    Post subject: |   |  
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				| Two steps for me too, both maybe skyscrapers but not sure 
 Step 1: r4c5 and r5c2 are connected and <>8 as then no <8> in r8
 Step 2: r7c1<>1 as then A=4, r7c4=4 leaves B+C = <1>
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Fri Feb 18, 2022 3:53 pm    Post subject: |   |  
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				| Pretty similar. 
 I went for that skyscraper on 8's in r4c15 and r8c25. This makes r5c2 and r7c1 < > 8 and as you say, in this network other 8's will also get eliminated ie r4c5 and r7c4.
 
 The remote pair <14> network is revealed which removes <14> in r8c5 (as per Clement)
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		| Mogulmeister 
 
 
 Joined: 03 May 2007
 Posts: 1151
 
 
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				|  Posted: Fri Feb 18, 2022 11:02 pm    Post subject: |   |  
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				| An alternative second step Using C and B and the two <12>  in col 1 as an xy chain that makes r7c4 < > 1 |  | 
	
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		| immpy 
 
 
 Joined: 06 May 2017
 Posts: 574
 
 
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				|  Posted: Sat Feb 19, 2022 6:23 pm    Post subject: |   |  
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				| Nice puzzle Mogulmeister! 
 Empty Rectangle (8) r5c24 and box7; r7c4<>8
 Then the Remote Pair (14)
 
 cheers...immp
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