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VH (++): Set A Puzzle 26

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Mon Nov 24, 2008 4:15 pm    Post subject: VH (++): Set A Puzzle 26 Reply with quote

nataraj formatting tool. All rights reserved.

Code:
 +-----------------------+
 | 6 . . | 3 9 . | 5 . 7 |
 | . . 4 | 1 . . | . . 6 |
 | . 9 . | 8 . . | 2 . 3 |
 |-------+-------+-------|
 | 5 1 8 | . 2 . | 7 . . |
 | 2 . . | 7 . . | . . . |
 | . . . | . . . | . . 2 |
 |-------+-------+-------|
 | 7 . 1 | 5 . . | 9 . . |
 | . . . | . . . | . . . |
 | 9 3 5 | . . 7 | . . 1 |
 +-----------------------+

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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Mon Nov 24, 2008 7:45 pm    Post subject: Reply with quote

A FANTASTIC VH puzzle! I think the (++) in the title referred to the number of steps, not the techniques to solve it.

I had two finned x-wings, one x-wing, two xy-wings, one xyz-wing, plus a kite, an ER and a skyscraper for a total of nine moves.

Ted Very Happy Very Happy
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Marty R.



Joined: 12 Feb 2006
Posts: 5180
Location: Rochester, NY, USA

PostPosted: Mon Nov 24, 2008 10:30 pm    Post subject: Reply with quote

I couldn't find Ted's wings. It was an ER, two Finned X-Wings and two rounds of Medusa.
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arkietech



Joined: 31 Jul 2008
Posts: 1733
Location: Northwest Arkansas USA

PostPosted: Tue Nov 25, 2008 3:28 am    Post subject: Reply with quote

edit: posted wrong puzzle.

Last edited by arkietech on Tue Nov 25, 2008 10:45 am; edited 1 time in total
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re'born



Joined: 28 Oct 2007
Posts: 80

PostPosted: Tue Nov 25, 2008 3:48 am    Post subject: Reply with quote

Consider the set of cells {r689c4, r9c7}[2469]. The max multiplicity of this set appears to be 6 (1,2,2,1), but closer inspection reveals that 4 and 6 cannot both appear twice. Thus the max multiplicity is 5. This implies that r9c5<>4. Furthermore, we can transport the 6 in r6c4 to r9c7, allowing us to eliminate 6 from r9c5 and r9c8.

From here, there is a skyscraper on 4 that solves it.
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Tue Nov 25, 2008 4:51 am    Post subject: Reply with quote

Marty R. wrote:
I couldn't find Ted's wings.

If you are interested, here is the sequence of steps I followed.

1. Finned x-wing on <6> r69c47; delete r6c56
2. Finned x-wing on <8> r69c58; delete r5c5 (this is also a kite in box9)
3. xyz-wing on<369> pivot at r4c6; delete <6> r4c4
4. Kite on <6> in box5; delete r9c8
5. X-wing on <6> r69c47; delete r6c8, r9c5 (I just noted this would make the same deletion as the kite6 noted in step 4.)
6. ER on <3> in box9, strong link r4; delete r8c6
7. XY-wing on <369> pivot69 at r6c4; delete <3> at r6c5
8. XY-wing on <248> pivot48 at r7c9; delete <2> at r7c8
9. Skyscraper on <4> r49c4; delete r5c7, r7c9

I obviously did not concentrate on a particular digit, but just had fun bouncy around doing different things.

Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1029
Location: Vienna, Austria

PostPosted: Tue Nov 25, 2008 3:38 pm    Post subject: Reply with quote

I did not meet all of the other creatures ...

- xyz-wing (369): r4c4<>6, which opens
- x-wing (6) cols 4 and 7. Many eliminations.
- xy-wing 24-48-82 row 7/box 9: r7c8<>2
- coloring (4) and all singles.
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