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VH+ 090420

 
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immpy



Joined: 06 May 2017
Posts: 570

PostPosted: Fri Sep 04, 2020 4:30 pm    Post subject: VH+ 090420 Reply with quote

Hello all, enjoy the puzzle...

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Wed Sep 09, 2020 5:36 pm    Post subject: Reply with quote

I couldn't come up with a nice solution for this one! The following was the best that I could come up with!

After Basics:
Code:
+----------------+--------------+-----------------+
| 245 23458 2458 | 9    6   1   | 2357  27   57   |
| 259 2359  259  | 8    4   7   | 2356  26   1    |
| 6   1     7    | 5    2   3   | 4     9    8    |
+----------------+--------------+-----------------+
| 245 2458  3    | 1    578 6   | 57    47   9    |
| 7   5689  589  | 3    58  4   | 56    1    2    |
| 1   456   45   | 2    57  9   | 8     3    4567 |
+----------------+--------------+-----------------+
| 8   7     6    | 4    9   2   | 1     5    3    |
| 3   2459  2459 | 7    1   8   | 269   246  46   |
| 249 249   1    | 6    3   5   | 279   8    47   |
+----------------+--------------+-----------------+

From this point I assumed that r9c9=7 which eventually led me to the following:

Code:
+--------------+-------------+-------------+
| 24  238  248 | 9   6   1   | 37  27  5   |
| 5   239  29  | 8   4   7   | 36  26  1   |
| 6   1    7   | 5   2   3   | 4   9   8   |
+--------------+-------------+-------------+
| 24  28   3   | 1   58  6   | 57  47  9   |
| 7   689  89  | 3   58  4   | 56  1   2   |
| 1   56   45  | 2   7   9   | 8   3   46  |
+--------------+-------------+-------------+
| 8   7    6   | 4   9   2   | 1   5   3   |
| 3   25   25  | 7   1   8   | 9   46  46  |
| 9   4    1   | 6   3   5   | 2   8   7   |
+--------------+-------------+-------------+

And at this point there's a 27-4 XY Wing with pivot at r1c8 (-4r4c1) so I got:
(4=2)r4c1-(2=8*)r4c2-(8=5)r4c5-(5=7)r4c7-(7=4)r4c8-(4=6)r8c8-r8c9=r6c9-(6=5)r6c2-(5=2)r8c2-(28*=3)r1c2-(3=2|9)r2c23-(2=6)r2c8; contradiction (i.e. 6r2c8 and 6r8c8) => r9c9<>7; stte. Whew!
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immpy



Joined: 06 May 2017
Posts: 570

PostPosted: Thu Sep 10, 2020 9:32 pm    Post subject: Reply with quote

Yes, involved lots of wing work and rinsing for me.

cheers...immp
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