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Sep 10 VH

 
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 1020
Location: Rimini, Italy
PostPosted: Wed Sep 10, 2025 2:41 pm    Post subject: Sep 10 VH Reply with quote
Hi everyone,

Code:

+------------+-------------+---------------+
| 7   14 25  | 3  156   9  | 24   8    46  |
| 8   19 25  | 16 156   4  | 279  3    679 |
| 3   49 6   | 2  8     7  | 49   5    1   |
+------------+-------------+---------------+
| 2   8  19  | 4  367   36 | 5    179  379 |
| 5   3  7   | 8  9     1  | 6    4    2   |
| 19  6  4   | 5  37    2  | 1379 179  8   |
+------------+-------------+---------------+
| 4   5  13  | 9  1236  36 | 8    1267 37  |
| 169 7  139 | 16 12346 8  | 1349 1269 5   |
| 169 2  8   | 7  1346  5  | 1349 169  349 |
+------------+-------------+---------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 3/6/1 in r7c36,r8c4 = r7c5,r8c13<>1
and
X-Wing 1 r47 c38 = r689c8<>1
and
XYZ-Wing 1/7/9 in r4c38,r6c8 = r4c9<>9

Code:

+-----------+-------------+--------------+
| 7   14 25 | 3  156   9  | 24   8    46 |
| 8   19 25 | 16 156   4  | 279  3    69 |
| 3   49 6  | 2  8     7  | 49   5    1  |
+-----------+-------------+--------------+
| 2   8  19 | 4  367   36 | 5    19   37 |
| 5   3  7  | 8  9     1  | 6    4    2  |
| 19  6  4  | 5  37    2  | 1379 79   8  |
+-----------+-------------+--------------+
| 4   5  13 | 9  236   36 | 8    1267 37 |
| 69  7  39 | 16 12346 8  | 1349 269  5  |
| 169 2  8  | 7  1346  5  | 1349 69   49 |
+-----------+-------------+--------------+

Play this puzzle online at the Daily Sudoku site

X-Wing 3 c69 r47 = r47c5,r7c3<>3
and
Naked Pair 6,9 in r9c18 = r9c5<>6, r9c79<>9

Ciao Gianni
[/quote]
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storm_norm22



Joined: 24 Oct 2020
Posts: 21
PostPosted: Thu Sep 11, 2025 1:39 pm    Post subject: Reply with quote
very difficult puzzle. this thing didn't want to give in
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storm_norm22



Joined: 24 Oct 2020
Posts: 21
PostPosted: Thu Sep 11, 2025 3:50 pm    Post subject: Reply with quote
ok, so this all revolves around the 3's... we have this structure on the almost x-wing on 3's in the image


this is a finned x-wing in which you can immediately eliminate the 3 in r8c7
because we associate these types of structures with fish we call the 3 in r9c9 a fin.

these fins can sometimes be extended as is the case in this puzzle and can be seen in the next image




Code:

another way to visualize this is to concentrate on the 3's in row 9, one of them must exist in that row
the following allows us to eliminate the 3's in r78c5

(3)r9c5 -                                                         (3)r78c5  x-wing portion
||                                                                                             
(3)r9c7 - (3)r6c7 = (3)r6c5 -                                     (3)r78c5  x-wing portion
||
(3-4)r9c9 = (4-6)r1c9 = (6)r1c5 - (6)r4c5 = (6-3)r4c6 = (3)r7c6 - (3)r78c5  extended fin portion
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