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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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 Posted: Sun Oct 12, 2008 6:39 pm Post subject: Vanhegan Fiendish to pass the time |
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Here is a Vanhagen "Fiendish" that I enjoyed very much. It offered many optional VH steps to the final solution.
| Code: |
*-----------*
|38.|...|...|
|..7|...|3..|
|..2|931|..5|
|---+---+---|
|...|76.|.2.|
|.5.|3.9|.8.|
|.6.|.14|...|
|---+---+---|
|1..|687|5..|
|..6|...|1..|
|...|...|.67|
*-----------* |
Ted |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun Oct 12, 2008 8:53 pm Post subject: |
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| Code: | .---------------------.---------------------.---------------------.
| 3 8 159 | 45 7 6 | 249 149 249 |
| 59 19 7 | 2 45 8 | 3 149 6 |
| 6 4 2 | 9 3 1 | 8 7 5 |
:---------------------+---------------------+---------------------:
| 489 139 13489 | 7 6 5 | 49 2 1349 |
| 7 5 14 | 3 2 9 | 6 8 14 |
| 2 6 39 | 8 1 4 | 7 5 39 |
:---------------------+---------------------+---------------------:
| 1 239 349 | 6 8 7 | 5 49 249 |
| 459 7 6 | 45 459 2 | 1 3 8 |
| 4589 29 4589 | 1 459 3 | 249 6 7 |
'---------------------'---------------------'---------------------' |
4 direct steps for me
| Quote: | | skyscraper on 5, w-wing {4,9}, ER 9, xy-wing {1,3,4 |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Sun Oct 12, 2008 9:29 pm Post subject: |
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Four steps for me, too:
- skyscraper (5)
- coloring (4)
- again coloring (4)
- xy-wing 13-14-43 box 4/col 3 |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun Oct 12, 2008 10:27 pm Post subject: |
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There are some interesting possibilities with the <45> cells in tower 2.
For extra credit: How do you eliminate <9> in R4C1, in two steps? Nataraj has given the first.
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun Oct 12, 2008 10:46 pm Post subject: |
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| Skyscraper (5), Skyscraper (4), XY-Wing [r5c3]/[r4c2]+[r7c3] |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sun Oct 12, 2008 10:49 pm Post subject: |
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| x-wing skyscraper xy-wing |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sun Oct 12, 2008 11:13 pm Post subject: |
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As I noted in my original post, this puzzle has many options. So far, no one has mentions the URs on <39> and <14> after basics that provide "useless" deletions, or the "useless" UR <49> that opens up after the skyscraper on <5>. I also found finned x-wing, kites, x-wing, multi-coloring, more xy-wings, and m-wings in addition to what has already been mentioned elsewhere. Whatever you preference, this puzzle seems to have it.
Ted  |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sun Oct 12, 2008 11:53 pm Post subject: |
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| keith wrote: |
For extra credit: How do you eliminate <9> in R4C1, in two steps? Nataraj has given the first.
Keith |
After the skyscraper on <5>, a xy-wing <459> opens up with pivot <45> in r2c5 and pincers <59> in r2c1 and <49> in r9c5. The <9> in pincer r9c5 of this "useless" xy-wing is transported to r8c5 and then to r8c1, thereby deleting the <9> in r4c1 (and also r9c1).
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon Oct 13, 2008 12:02 am Post subject: |
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Two steps. Coloring on 5, using the three 45s and r2c1, takes out the 5 from r8c1. That cell then becomes the pivot for an XY-Wing on 495 which, with pincer coloring, finishes the puzzle.
I don't have my grid after basics and I don't know if it's the same one as shown in this thread. |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Mon Oct 13, 2008 12:28 am Post subject: |
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| Marty R. wrote: | Two steps. Coloring on 5, using the three 45s and r2c1, takes out the 5 from r8c1. That cell then becomes the pivot for an XY-Wing on 495 which, with pincer coloring, finishes the puzzle.
I don't have my grid after basics and I don't know if it's the same one as shown in this thread. |
After basics: | Code: | *--------------------------------------------------------------------*
| 3 8 159 | 45 7 6 | 249 149 249 |
| 59 19 7 | 2 45 8 | 3 149 6 |
| 6 4 2 | 9 3 1 | 8 7 5 |
|----------------------+----------------------+----------------------|
| 489 139 13489 | 7 6 5 | 49 2 1349 |
| 7 5 14 | 3 2 9 | 6 8 14 |
| 2 6 39 | 8 1 4 | 7 5 39 |
|----------------------+----------------------+----------------------|
| 1 239 349 | 6 8 7 | 5 49 249 |
| 459 7 6 | 45 459 2 | 1 3 8 |
| 4589 29 4589 | 1 459 3 | 249 6 7 |
*--------------------------------------------------------------------*
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Beautiful! |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon Oct 13, 2008 4:24 am Post subject: |
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| Marty R. wrote: | Two steps. Coloring on 5, using the three 45s and r2c1, takes out the 5 from r8c1. That cell then becomes the pivot for an XY-Wing on 495 which, with pincer coloring, finishes the puzzle.
I don't have my grid after basics and I don't know if it's the same one as shown in this thread. |
My grid was different because I can't solve it with my steps from grids shown here. I tried the puzzle again and can't replicate my original solution.
Also, the XY-Wing I mentioned takes out the 5 from r9c5. However, I now see that after the coloring, that 5 from r9c5 is removed by simple locked candidates.
Back to the drawing board. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Mon Oct 13, 2008 6:37 am Post subject: |
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| keith wrote: | There are some interesting possibilities with the <45> cells in tower 2.
For extra credit: How do you eliminate <9> in R4C1, in two steps? Nataraj has given the first.
Keith |
I gave the second step, too  although maybe the removal of several 4's doesn't qualify as one step (there are different paths for each of the eliminations) ... Anyway:
After the initial skyscraper (5), in this position
| Code: |
+--------------------------+--------------------------+--------------------------+
| 3 8 159 | 45 7 6 | 249 149 249 |
| 59 19 7 | 2 45 8 | 3 149 6 |
| 6 4 2 | 9 3 1 | 8 7 5 |
+--------------------------+--------------------------+--------------------------+
| 489 139 13489 | 7 6 5 | 49 2 1349 |
| 7 5 14 | 3 2 9 | 6 8 14 |
| 2 6 39 | 8 1 4 | 7 5 39 |
+--------------------------+--------------------------+--------------------------+
| 1 239 349 | 6 8 7 | 5 49 249 |
| 49 7 6 | 45 459 2 | 1 3 8 |
| 58 29 58 | 1 49 3 | 249 6 7 |
+--------------------------+--------------------------+--------------------------+
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coloring on 4 takes out 4 from r1c7 and r1c9, leaving a naked pair (29), plus it takes out 4 in r7c8, leaving a naked single 9.
The NP 29 removes 9 from r1c3, the naked single removes 9 from r7c3.
Now 9 in box 4 must be in column 3 and r3c12<>9. |
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