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ZeroAssoluto
Joined: 05 Feb 2017 Posts: 941 Location: Rimini, Italy
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Posted: Mon Oct 31, 2022 8:54 am Post subject: Oct 31 VH |
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Hi everyone,
Code: |
+-------+-------------+----------+
| 3 8 2 | 167 67 156 | 4 9 56 |
| 6 4 9 | 28 238 35 | 7 1 25 |
| 7 1 5 | 4 269 69 | 8 3 26 |
+-------+-------------+----------+
| 8 7 6 | 9 1 2 | 5 4 3 |
| 5 2 3 | 67 467 46 | 1 8 9 |
| 4 9 1 | 3 5 8 | 26 26 7 |
+-------+-------------+----------+
| 1 3 4 | 5 26 7 | 9 26 8 |
| 9 5 8 | 26 34 34 | 26 7 1 |
| 2 6 7 | 18 89 19 | 3 5 4 |
+-------+-------------+----------+
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Play this puzzle online at the Daily Sudoku site
Quote: | in only one step
if r3c6=6 -6 in r1c456,r3c9
if r3c6=9 r9c5=9 r2c5=8 r2c6=3 r1c6=5 r1c9=6 and -6 in r1c456,r3c9
or
if r1c6=5 -5 in r1c9,r2c6
if r1c6=-5 r2c6=5 r2c5=3 r9c5=8 r3c5=9 r3c9=2 r2c9=5 and -5 in r2c6,r1c9
or
if r2c4=2 -2 in r2c9,r3c5
if r2c4=8 r9c5=8 r3c5=9 r3c9=2 and -2 in r2c9,r3c5
or with 2 steps classical
W-Wing 6,7 in r1c5,r5c4 SL with number 6 in r7c5,r8c4 and -7 in r1c4,r5c5
and
XY-Wing 1,6,9 in r1c4,r39c6 and -1 in r1c6,r9c4 |
Ciao Gianni |
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TomC
Joined: 30 Oct 2020 Posts: 358 Location: Wales
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Posted: Mon Oct 31, 2022 11:53 am Post subject: |
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Remove <6> from r3c6 to solve
Code: |
+-------+---------------+------------+
| 3 8 2 | 167 67 156 | 4 9 56 |
| 6 4 9 | 28 238 c35 | 7 1 b25 |
| 7 1 5 | 4 269 x69 | 8 3 a26 |
+-------+---------------+------------+
| 8 7 6 | 9 1 2 | 5 4 3 |
| 5 2 3 | 67 467 e46 | 1 8 9 |
| 4 9 1 | 3 5 8 | 26 26 7 |
+-------+---------------+------------+
| 1 3 4 | 5 26 7 | 9 26 8 |
| 9 5 8 | 26 34 d34 | 26 7 1 |
| 2 6 7 | 18 89 19 | 3 5 4 |
+-------+---------------+------------+
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Two ways to look at this:
If x=6, a=2, b=5, c=3 leads to <4> in both d+e
or
XY chain abcde gives pincers of <6> in a + e to remove <6> from x |
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dongrave
Joined: 06 Mar 2014 Posts: 568
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Posted: Mon Oct 31, 2022 1:35 pm Post subject: |
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I used the 269 XYZ-Wing r3c56,r7c5 (-6r1c5) which opened up the 69-1 XY-Wing r1c4,r39c6 (-1r1c6, -1r9c4). |
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TomC
Joined: 30 Oct 2020 Posts: 358 Location: Wales
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Posted: Tue Nov 01, 2022 1:31 pm Post subject: |
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You can make the same eliminations as the 69-1 XY-wing but not use the XYZ-wing first
Code: |
+-------+------------------+------------+
| 3 8 2 | a167 b67 x156 | 4 9 56 |
| 6 4 9 | 28 238 35 | 7 1 25 |
| 7 1 5 | 4 269 c69 | 8 3 26 |
+-------+------------------+------------+
| 8 7 6 | 9 1 2 | 5 4 3 |
| 5 2 3 | 67 467 46 | 1 8 9 |
| 4 9 1 | 3 5 8 | 26 26 7 |
+-------+------------------+------------+
| 1 3 4 | 5 26 7 | 9 26 8 |
| 9 5 8 | 26 34 34 | 26 7 1 |
| 2 6 7 | x18 89 d19 | 3 5 4 |
+-------+------------------+------------+
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If x=1, ab=<67>, c=9, d=1
Or using c as the pivot
if c=6, b=7, a=1
if c=9, d=1
This gives pincers on <1> in a+d to remove <1> from x |
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dongrave
Joined: 06 Mar 2014 Posts: 568
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Posted: Tue Nov 01, 2022 9:09 pm Post subject: |
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Hi Gianni! When you said 'classical steps' I thought that you were referring to just VH moves because many years ago Marty told me that every VH puzzle on this site could be solved by using just the 3 classical wing moves X-Wing, XY-Wing, and XYZ-Wing. Since then I have only considered using VH moves when solving any VH puzzle on this site. When I suggested to Marty that we refer to this as the 'official solution' he really didn't like it and suggested instead that we refer to it as the 'standard solution'. I like his suggestion. |
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