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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sun Jun 08, 2008 2:32 pm Post subject: A little more than VH |
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This is today's Mepham competition puzzle:
Code: | Puzzle: MM060808d
+-------+-------+-------+
| . . . | 6 . . | 4 . . |
| . . 5 | . 2 3 | . . . |
| . . 7 | 1 . 9 | . . 6 |
+-------+-------+-------+
| . 4 . | . . . | . . 9 |
| . 5 . | . . . | . 3 . |
| 8 . 9 | . . . | 7 5 . |
+-------+-------+-------+
| 6 . . | 2 . 4 | 5 . . |
| . . . | 5 3 . | 8 . . |
| . . 3 | . . 6 | . . . |
+-------+-------+-------+ | Keith |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Sun Jun 08, 2008 5:12 pm Post subject: |
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Code: | .------------------.------------------.------------------.
| 129 3 12 | 6 78 78 | 4 19 5 |
| 19 6 5 | 4 2 3 | 19 78 78 |
| 4 8 7 | 1 5 9 | 3 2 6 |
:------------------+------------------+------------------:
| 3 4 26 | 78 178 5 | 26 18 9 |
| 7 5 126 | 9 4 128 | 126 3 128 |
| 8 12 9 | 3 6 12 | 7 5 4 |
:------------------+------------------+------------------:
| 6 17 8 | 2 179 4 | 5 179 3 |
| 12 9 4 | 5 3 17 | 8 6 127 |
| 5 127 3 | 78 1789 6 | 129 4 127 |
'------------------'------------------'------------------' |
first thing I see is a UR
then I think a little more examination is required.
edit:
I got it in two moves...first a UR...
second, using an extended M-wing exploiting the {1,9} pairs in boxes 1 and 3 |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Jun 08, 2008 5:27 pm Post subject: |
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There's a nice M-Wing on the 12s in boxes 47 which takes out the 1 in r8c6 which looks like it will help considerably. |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Sun Jun 08, 2008 5:32 pm Post subject: |
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Norm,
You don't need the UR. Code: | .------------------.------------------.------------------.
| 129 3 12 | 6 78 78 | 4 19 5 |
| 19 6 5 | 4 2 3 | 19 78 78 |
| 4 8 7 | 1 5 9 | 3 2 6 |
:------------------+------------------+------------------:
| 3 4 26 | 78 178 5 | 26 18 9 |
| 7 5 126 | 9 4 128 | 126 3 128 |
| 8 12b 9 | 3 6 12c | 7 5 4 |
:------------------+------------------+------------------:
| 6 17 8 | 2 179 4 | 5 179 3 |
| 12a 9 4 | 5 3 -17 | 8 6 127 |
| 5 127 3 | 78 1789 6 | 129 4 127 |
'------------------'------------------'------------------' | The way I saw it:
a and b are a complementary pair, they have the same value. (They share the same set of unsolved buddies in B7 and C2.) So, a and c are a remote pair, and you can eliminate <1> in R8C6.
Another way to see it is that a and c are a W-wing, joined by the strong link on <2> in C2.
Keith |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Sun Jun 08, 2008 6:15 pm Post subject: |
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keith wrote: | Norm,
You don't need the UR. Code: | .------------------.------------------.------------------.
| 129 3 12 | 6 78 78 | 4 19 5 |
| 19 6 5 | 4 2 3 | 19 78 78 |
| 4 8 7 | 1 5 9 | 3 2 6 |
:------------------+------------------+------------------:
| 3 4 26 | 78 178 5 | 26 18 9 |
| 7 5 126 | 9 4 128 | 126 3 128 |
| 8 12b 9 | 3 6 12c | 7 5 4 |
:------------------+------------------+------------------:
| 6 17 8 | 2 179 4 | 5 179 3 |
| 12a 9 4 | 5 3 -17 | 8 6 127 |
| 5 127 3 | 78 1789 6 | 129 4 127 |
'------------------'------------------'------------------' | The way I saw it:
a and b are a complementary pair, they have the same value. (They share the same set of unsolved buddies in B7 and C2.) So, a and c are a remote pair, and you can eliminate <1> in R8C6.
Another way to see it is that a and c are a W-wing, joined by the strong link on <2> in C2.
Keith |
that was nice Keith, I see it. w-wing on {1,2} stong link on 2 removes the 1 in r8c6 |
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