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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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 Posted: Thu Oct 23, 2008 4:27 am Post subject: Menneske Super Hard (22) |
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I found a couple of one-step solutions, but many, many "useless" steps. Still, it was a fun puzzle to fill the time ..............
| Code: |
|7..|3..|4..|
|.5.|94.|...|
|.94|7..|85.|
|---+---+---|
|...|...|642|
|.8.|.6.|.7.|
|647|...|...|
|---+---+---|
|1.3|..8|7..|
|..8|.74|36.|
|...|..3|..8| |
Ted |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Oct 23, 2008 12:06 pm Post subject: |
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The best I could do was a three stepper.
x-wing
skyscraper
xy-chain
What did you use for your 1 steppers? |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Oct 23, 2008 1:13 pm Post subject: |
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| arkietech wrote: | The best I could do was a three stepper.
x-wing
skyscraper
xy-chain
What did you use for your 1 steppers? |
Dan, I used a "useless" xy-wing with transporting (coloring) pincers.
xy-wing <126> with pivot <16> at r2c6.
Pincer <26> at r2c3 transported to r1c3 => r1c8;
Pincer <12> at r3c5 transported to r3c6 => r6c6 => r6c4 => 47c4;
Delete <2> r7c8.
My second one-stepper was a w-wing also with transported pincers, but I can't find it now. Either the bottle of wine I had last night is still working this morning or I messed up yesterday when I originally solved the puzzle. 
Added Edit: After further review, I believe the "lost" w-wing solution was really a two-stepper involving a kite <1> then a w-wing <29> with transporting. However, I just found a w-wing <12> at r2c7 & r3c5 with strong link <2> in row9 that deletes <1> at r3c9.
Ted |
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Earl
Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
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| Posted: Thu Oct 23, 2008 2:12 pm Post subject: Menneske |
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Best I could do was a two-step:
x-wing (5), w-wing (19).
Earl |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Oct 23, 2008 10:05 pm Post subject: |
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| tlanglet wrote: | xy-wing <126> with pivot <16> at r2c6.
Pincer <26> at r2c3 transported to r1c3 => r1c8;
Pincer <12> at r3c5 transported to r3c6 => r6c6 => r6c4 => 47c4;
Delete <2> r7c8.
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Excellent find! I finally figured it out. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Thu Oct 23, 2008 10:27 pm Post subject: |
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the black boxes are the useless xy-wing
the blue lines are the extensions on candidate 2.
the red lines are the pincers and eliminations.
(2=6)r2c3-(6=1)r2c6-(1=2)r3c5-(2)r9c5=(2)r9c7; r2c7<>2 |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Thu Oct 23, 2008 10:54 pm Post subject: |
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One-stepper: ravel's half M-wing.
| Code: | +-------------+-------------+-------------+
| 7 1 26 | 3 8 5 | 4 29 69 |
| 8 5 26 | 9 4 16 | 12b 3 7 |
| 3 9 4 | 7 12a 126 | 8 5 16 |
+-------------+-------------+-------------+
| 59 3 159 | 8 15 7 | 6 4 2 |
| 2 8 15 | 4 6 19 | 159 7 3 |
| 6 4 7 | 25 3 129 | 159 8 159 |
+-------------+-------------+-------------+
| 1 6 3 | 25 259 8 | 7 29 4 |
| 59 2 8 | 1 7 4 | 3 6 59 |
| 4 7 59 | 6 -29 3 |259c 1 8 |
+-------------+-------------+-------------+ |
<1> in a forces <1> in b (but not vice-versa). Strong link bc on <2>. Eliminating <2> in R9C5. 
Keith |
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