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Feb 03 VH

 
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 933
Location: Rimini, Italy

PostPosted: Fri Feb 03, 2023 10:42 am    Post subject: Feb 03 VH Reply with quote

Hi everyone,

Code:

+------------+----------+--------------+
| 135 8   2  | 6  7 35  | 145 9    45  |
| 156 7   16 | 4  9 8   | 15  3    2   |
| 35  9   4  | 25 1 235 | 6   8    7   |
+------------+----------+--------------+
| 8   12  5  | 9  6 124 | 7   24   3   |
| 7   26  9  | 8  3 24  | 45  2456 1   |
| 4   3   16 | 12 5 7   | 9   26   8   |
+------------+----------+--------------+
| 2   56  3  | 15 4 156 | 8   7    9   |
| 9   4   8  | 7  2 56  | 3   1    56  |
| 16  156 7  | 3  8 9   | 2   45   456 |
+------------+----------+--------------+

Play this puzzle online at the Daily Sudoku site

Quote:
XY-Wing
1,2,6 in r4c2,r6c38 and -2 in r4c8
1,2,6 in r5c2,r6c34 and -2 in r5c6
or W-Wing
2,4 in r4c8,r5c6 SL with number 2 in r6c48 and -4 in r4c6,r5c78
2,4 in r4c8,r5c6 SL with number 2 in r45c2 and -4 in r4c6,r5c78


Ciao Gianni
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Fri Feb 03, 2023 11:29 am    Post subject: Reply with quote

Remove <2> from r3c4 to solve

Code:

+---------------+--------------+----------------+
| x135  8    2  |  6   7  x35  | 145  9     45  |
|  156  7   d16 |  4   9   8   | 15   3     2   |
| x35   9    4  | a25  1  x235 | 6    8     7   |
+---------------+--------------+----------------+
|  8    12   5  |  9   6   124 | 7    24    3   |
|  7    26   9  |  8   3   24  | 45   2456  1   |
|  4    3   c16 | b12  5   7   | 9    26    8   |
+---------------+--------------+----------------+
|  2    56   3  |  15  4   156 | 8    7     9   |
|  9    4    8  |  7   2   56  | 3    1     56  |
|  16   156  7  |  3   8   9   | 2    45    456 |
+---------------+--------------+----------------+

Quote:
A short chain leads to the solution

If a=2, b=1, c=6, d=1 creates a <35> Unique Rectangle in r13c16
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Greenvilleguy



Joined: 01 Jul 2022
Posts: 24
Location: US

PostPosted: Sat Feb 04, 2023 12:07 am    Post subject: Feb 3 VH Reply with quote

OK, I see that eliminating the "2" from R3C4 solves it, but how did you know to eliminate the "2". Was it a try one and if that doesn't work, it's the other one?
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Sat Feb 04, 2023 10:30 am    Post subject: Re: Feb 3 VH Reply with quote

Greenvilleguy wrote:
OK, I see that eliminating the "2" from R3C4 solves it, but how did you know to eliminate the "2". Was it a try one and if that doesn't work, it's the other one?


This is all about patterns and how they link

r13c16 is almost a <35> UR and would be an actual one if you could eliminate <1> from r1c1 and <2> from r3c6

The links between the <1>s in c3 and the <2>s in c4 do this

Another way to describe this:

If b=1 then c<>1, d=1
If b=1 then b<>2, a=2
So b must be <2> as a=2 and d=1 produce the <35> UR
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Greenvilleguy



Joined: 01 Jul 2022
Posts: 24
Location: US

PostPosted: Sat Feb 04, 2023 12:35 pm    Post subject: Feb 3 VH Reply with quote

Thanks. Very clever. I would not have found that.
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