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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Tue Nov 09, 2021 3:46 pm Post subject: VH-ish ? |
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Code: | +-----------------+------------------+----------------+
| 2 3468 368 | 346 1 5 | 7 38 9 |
| 134 13478 378 | 3479 38 34789 | 5 2 6 |
| 5 3678 9 | 367 2 378 | 18 138 4 |
+-----------------+------------------+----------------+
| 7 3489 358 | 34 35 1 | 489 6 2 |
| 6 45 2 | 8 9 47 | 3 457 1 |
| 34 34589 1 | 23457 6 2347 | 489 45789 578 |
+-----------------+------------------+----------------+
| 9 237 357 | 1 4 238 | 6 578 578 |
| 13 12367 3567 | 239 358 2389 | 149 149 578 |
| 8 15 4 | 59 7 6 | 2 19 3 |
+-----------------+------------------+----------------+
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Nov 11, 2021 11:57 am Post subject: |
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This is a very interesting puzzle and what follows is not the single shot but observations.
Look at the green squares.
They are arranged in such a way that there are many interpretations on offer. You can also see it as pincer heaven or ALS bonanza. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Nov 11, 2021 12:07 pm Post subject: |
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So let's consider the configurations of pincers:
Pincers for 1 at r8c1 and r9c2 means r8c2 < > 1
Pincers for 3 at r8c1 and r6c1 means r2c1 < > 3
Pincers for 4 at r6c1 and r5c2 means r46c2 < > 4 (includes 4 in pink square)
Pincers for 5 at r9c2 and r5c2 means r6c2 < > 5 |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Nov 11, 2021 12:19 pm Post subject: |
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Even with all those eliminations there is more to do ![Mr. Green](images/smiles/icon_mrgreen.gif) |
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immpy
Joined: 06 May 2017 Posts: 570
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Posted: Thu Nov 11, 2021 6:24 pm Post subject: |
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Nice examples Mogulmeister in an Evil-ish puzzle. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Thu Nov 11, 2021 8:11 pm Post subject: |
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Thanks Immp.
Plenty to chew on here. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sat Nov 13, 2021 12:52 am Post subject: |
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There is an overlapping AALS
Set A {3,4,5,8,9} Yellow + purple square
Set B {3,5,8} Green + purple square
Restricted Common is 8
Common candidate is 3 so r4c4 {red} is < > 3.
However the extra 3 in r6c1 prevents this so what if it were true ?
+3r6c1-(3=1)r8c1-(1=5)r9c2-(5=9)r9c4-(9=238)r8c46,r7c6-(38=5)r8c5-(5=3)r4c5 and r4c4 is also < > 3 |
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immpy
Joined: 06 May 2017 Posts: 570
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Posted: Sat Nov 13, 2021 6:48 pm Post subject: |
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Nice graphics and explanation/instruction Mogulmeister. Does that now solve it?
cheers...immp |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sun Nov 14, 2021 2:34 am Post subject: |
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It does. |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Tue Nov 16, 2021 12:39 am Post subject: |
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Just one postscript for me.
If you look at the purple square <358> you are on to a winner every time:
If purple = 3 then red = 4 and puzzle solved
if purple = 5 then green = 3 and red = 4 and puzzle solved
..and if its 8 ? Puzzle solved.
You can also look at NOT 8 which leaves purple as <35> which pairs with the other <35> in r4c5 and so once again red = 4 and puzzle solved.
Whether purple is 8 or not does not matter. |
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