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ZeroAssoluto
Joined: 05 Feb 2017 Posts: 942 Location: Rimini, Italy
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Posted: Thu Dec 08, 2022 10:47 am Post subject: Dec 08 VH |
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Hi everyone,
Code: |
+-----------+------------+-----------+
| 78 6 9 | 45 2 457 | 58 1 3 |
| 4 3 2 | 8 1 56 | 9 7 56 |
| 178 5 17 | 9 67 3 | 68 2 4 |
+-----------+------------+-----------+
| 6 1 3 | 2 57 57 | 4 9 8 |
| 2 4 8 | 6 9 1 | 3 5 7 |
| 9 7 5 | 3 4 8 | 2 6 1 |
+-----------+------------+-----------+
| 3 9 14 | 7 56 456 | 15 8 2 |
| 157 8 6 | 15 3 2 | 157 4 9 |
| 157 2 147 | 145 8 9 | 1567 3 56 |
+-----------+------------+-----------+
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Play this puzzle online at the Daily Sudoku site
Quote: | XY-Wing
5,6,7 in r2c6,r34c5 and -5 in r4c6
or
5,6,7 in r24c6,r3c5 and -7 in r1c6,r4c5
or
XYZ-Wing 4,5,7 in r1c46,r4c6 and -5 in r2c6
or
W-Wing 5,6 in r2c6,r7c5 SL with number 5 in r4c56 and -6 in r3c5,r7c6 |
Ciao Gianni |
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TomC
Joined: 30 Oct 2020 Posts: 358 Location: Wales
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Posted: Thu Dec 08, 2022 1:48 pm Post subject: Another way you could solve |
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Remove <1> from r7c3 to solve
Code: |
+----------------+--------------+-------------+
| b78 6 9 | 45 2 457 | c58 1 3 |
| 4 3 2 | 8 1 56 | 9 7 56 |
| 178 5 a17 | 9 67 3 | 68 2 4 |
+----------------+--------------+-------------+
| 6 1 3 | 2 57 57 | 4 9 8 |
| 2 4 8 | 6 9 1 | 3 5 7 |
| 9 7 5 | 3 4 8 | 2 6 1 |
+----------------+--------------+-------------+
| 3 9 x14 | 7 56 456 | d15 8 2 |
| 157 8 6 | 15 3 2 | 157 4 9 |
| 157 2 147 | 145 8 9 | 1567 3 56 |
+----------------+--------------+-------------+
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Quote: | XY chain abcd gives pincers of <1> in a + d to remove <1> from x |
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Greenvilleguy
Joined: 01 Jul 2022 Posts: 24 Location: US
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Posted: Sat Dec 10, 2022 6:07 pm Post subject: |
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I see why r7c3 cannot be a 1, but I don't understand how you found it. Is is a pattern you are looking for like an xy - wing? |
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TomC
Joined: 30 Oct 2020 Posts: 358 Location: Wales
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Posted: Sun Dec 11, 2022 10:31 am Post subject: |
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Greenvilleguy wrote: | I see why r7c3 cannot be a 1, but I don't understand how you found it. Is is a pattern you are looking for like an xy - wing? |
Yes, this is all about patterns, Gianni's first XY wing is <57> <67> <56> to eliminate <5> from r4c6, but this is also a XY chain of length 3 where either end of the chain is <5>
My XY chain is <17> <78> <58> <15> giving <1> at either end of the chain
I generally see XY wings and XY chains as contradictions, in this case scan the entire grid and only concentrate on cells which contain two candidates can help to indentify these patterns
So my solution could also be seen as : if d=5, c=8, b=7, a=1 leads to no <1> in row 7
Note that there is a very similar XY chain of length 5 which does the same thing ( <17> <67> <68> <58> <15> ) |
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Greenvilleguy
Joined: 01 Jul 2022 Posts: 24 Location: US
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Posted: Sun Dec 11, 2022 11:34 pm Post subject: |
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Thanks, that's very helpful. |
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