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VH+ 110823

 
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immpy



Joined: 06 May 2017
Posts: 570
PostPosted: Wed Nov 08, 2023 5:39 pm    Post subject: VH+ 110823 Reply with quote
Hello all, enjoy the puzzle.

Code:

+-------+-------+-------+
| . . . | . 4 . | . . . |
| . 6 . | . . . | . 2 . |
| . . . | 2 6 8 | . . . |
+-------+-------+-------+
| 5 . . | . . . | . . 2 |
| . 2 . | 3 . 7 | . 4 . |
| . . 4 | . . . | 9 . . |
+-------+-------+-------+
| 4 . . | 8 . 1 | . 3 5 |
| . 8 . | . . . | . 6 . |
| 3 . 2 | . 5 . | 7 . 9 |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

cheers...immp
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales
PostPosted: Thu Nov 09, 2023 3:59 pm    Post subject: Reply with quote
Nice one, Immpy

I used forcing a unique rectangle to solve

Code:

+---------------+-------------------+---------------+
| 2    5   178  |  17     4     3   | 168  9  1678  |
| 178  6   1378 |  1579   179   59  | 1348 2  13478 |
| 179  4   1379 |  2      6     8   | 13   5  137   |
+---------------+-------------------+---------------+
| 5    379 1789 | b1469  a189  b469 | 368  17 2     |
| 1689 2   189  |  3     a189   7   | 5    4  68    |
| 1678 37  4    | x156    2     56  | 9    17 368   |
+---------------+-------------------+---------------+
| 4    79  6    |  8      79    1   | 2    3  5     |
| 79   8   5    |  79     3     2   | 14   6  14    |
| 3    1   2    | b46     5    b46  | 7    8  9     |
+---------------+-------------------+---------------+

Play this puzzle online at the Daily Sudoku site

Remove <1> from r6c4 to solve

If x=1, a=<89>, b=<46>
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dongrave



Joined: 06 Mar 2014
Posts: 564
PostPosted: Fri Nov 10, 2023 3:34 pm    Post subject: Reply with quote
Thanks for the puzzle immp! After basics:

Code:
+-----------------+------------------+-----------------+
|  2    5   j178  | a17*    4    3   | 168  9   i1678  |
| e178  6    1378 | d1579  d179 d59  | 1348 2    13478 |
|  179  4    1379 |  2      6    8   | 13   5    137   |
+-----------------+------------------+-----------------+
|  5    379  1789 |  1469   189  469 | 368  17   2     |
|  1689 2    189  |  3      189  7   | 5    4   h68    |
| f1678 37   4    |  156    2    56  | 9    17  g368   |
+-----------------+------------------+-----------------+
|  4    79   6    |  8      79   1   | 2    3    5     |
| c7@9  8    5    | b79     3    2   | 14   6    14    |
|  3    1    2    |  46     5    46  | 7    8    9     |
+-----------------+------------------+-----------------+

Then I used the chain 7*r1c4-[r8c4=7@r8c1, -(7=1|5|9)r2c456]-(17@=8)r2c1-r6c1=r6c9-(8=6)r5c9-(67*8=1)r1c9-(17*=8)r1c3 contradiction (i.e. 8r1c3, 8r2c1) => r1c4 <> 7; stte.
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