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ZeroAssoluto
Joined: 05 Feb 2017 Posts: 933 Location: Rimini, Italy
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Posted: Fri Feb 03, 2023 10:42 am Post subject: Feb 03 VH |
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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 |
+------------+----------+--------------+
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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
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Ciao Gianni |
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TomC
Joined: 30 Oct 2020 Posts: 358 Location: Wales
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Posted: Fri Feb 03, 2023 11:29 am Post subject: |
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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 |
+---------------+--------------+----------------+
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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
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Posted: Sat Feb 04, 2023 12:07 am Post subject: Feb 3 VH |
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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
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Posted: Sat Feb 04, 2023 10:30 am Post subject: Re: Feb 3 VH |
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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
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Posted: Sat Feb 04, 2023 12:35 pm Post subject: Feb 3 VH |
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Thanks. Very clever. I would not have found that. |
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