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Vanhegan Fiendish 9/21

 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Sep 22, 2008 3:38 pm    Post subject: Vanhegan Fiendish 9/21 Reply with quote

Another Vanhegan Fiendish from September 21 to enjoy.

I used several steps to solve it but suspect that many different solutions are possible.

Code:

 *-----------*
 |.5.|.4.|..1|
 |..3|...|.52|
 |7..|..5|.6.|
 |---+---+---|
 |53.|8..|7..|
 |..1|...|6..|
 |..8|..7|.13|
 |---+---+---|
 |.2.|9..|..7|
 |31.|...|9..|
 |4..|.3.|.2.|
 *-----------*


Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Mon Sep 22, 2008 4:52 pm    Post subject: Reply with quote

After basics,

Code:

+--------------------------+--------------------------+--------------------------+
| 26      5       269      | 3       4       69       | 8       7       1        |
| 1       69      3        | 67      78      689      | 4       5       2        |
| 7       8       4        | 12      12      5        | 3       6       9        |
+--------------------------+--------------------------+--------------------------+
| 5       3       26       | 8       126     126      | 7       9       4        |
| 29      7       1        | 4       29      3        | 6       8       5        |
| 69      4       8        | 56      569     7        | 2       1       3        |
+--------------------------+--------------------------+--------------------------+
| 8       2       56       | 9       156     4        | 15      3       7        |
| 3       1       567      | 2567    78      268      | 9       4       68       |
| 4       69      5679     | 1567    3       168      | 15      2       68       |
+--------------------------+--------------------------+--------------------------+


I was looking for strong and weak links and came across a w-wing (left diagram): both bi-value cells 56 in r6c4 and r7c3 see the strong link (5) r8c3=r8c4.

Looking in the diagram for "6" (right side), I found that it does not immediately eliminate anything,

BUT

(as I've made a habit in the last few weeks), I entered the useless w-wing as another strong link (in red) into the diagram for "6".




This new strong link gives a handful of eliminations right away:
a) connect to the sl in col 2 and (6)r2c2=r9c2-r7c3=r6c4; r2c4<>6
b) connect to the sl in box 4 and remove three candidates: (6)r4c3=r6c1-r6c4=r7c3; r189c3<>6

That is enough to solve the puzzle.

I have become quite fond of this routine, to look for the possibility of a new strong link when I hit a "useless" m-, w- or xy-wing. Most times, that link only duplicates what is in the diagram already, but sometimes it really pays off...
Very Happy


edited because picture would not load


Last edited by nataraj on Tue Sep 23, 2008 6:13 pm; edited 1 time in total
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Sep 22, 2008 5:00 pm    Post subject: Reply with quote

Code:
 before finned (and more complex) fish
 +--------------------------------------------------------------+
 |  26    5     269   |  3     4     69    |  8     7     1     |
 |  1     69    3     |  67    78    689   |  4     5     2     |
 |  7     8     4     |  12    12    5     |  3     6     9     |
 |--------------------+--------------------+--------------------|
 |  5     3     26    |  8     126   126   |  7     9     4     |
 |  29    7     1     |  4     29    3     |  6     8     5     |
 |  69    4     8     |  56    569   7     |  2     1     3     |
 |--------------------+--------------------+--------------------|
 |  8     2     56    |  9     156   4     |  15    3     7     |
 |  3     1     567   |  2567  78    268   |  9     4     68    |
 |  4     69    5679  |  1567  3     168   |  15    2     68    |
 +--------------------------------------------------------------+
 # 46 eliminations remain

A short chain cracks the puzzle, but it seems unfair. A more interesting approach is the (68) UR in [r89c69] to open up an X-Wing, followed by an ER to crack the puzzle.


Last edited by daj95376 on Mon Sep 22, 2008 5:35 pm; edited 1 time in total
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Sep 22, 2008 5:23 pm    Post subject: Reply with quote

My routine sequence started with
the UR<68>,
two w-wings (on <69> and then <56> with a transport) and finally,
a skyscraper on <6>.

I thought the puzzle was a VH level, but was not an obvious one-stepper.

Ted Smile
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Sep 22, 2008 5:26 pm    Post subject: Reply with quote

nataraj wrote:
This new strong link gives a handful of eliminations right away:
a) connect to the sl in col 2 and (6)r2c2=r9c2-r7c3=r6c4; r2c4<>6
b) connect to the sl in box 4 and remove three candidates: (6)r4c3=r6c1-r6c4=r7c3; r189c3<>6

That is enough to solve the puzzle.

(a) is enough to solve the puzzle.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Mon Sep 22, 2008 5:43 pm    Post subject: Reply with quote

Very nice solution Nataraj Exclamation

I also have been doing more transporting of pincers, even when they directly provide eliminations. In this puzzle I transported the pincer at r6c4 of the useless w-wing <56> to r4c3 using the strong link in box4 thereby getting the identical eliminations you achieved in your second set of eliminations.

Ted
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Mon Sep 22, 2008 5:43 pm    Post subject: Reply with quote

I used an x-wing, skyscraper, er and Sue DeCog to bust it without chains.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Tue Sep 23, 2008 6:02 pm    Post subject: Reply with quote

Thanks, Ted ! Very Happy

Of course, what I found is just a w-wing with transport. And writing it down as such (or just give the AIC) would have sufficed to describe the solution. As daj95376 pointed out, not all of the eliminations are needed, but then, I found them easily in one step and just used them simultaneously Smile

Even more than in the solution itself I am interested in the various (and sometimes quite ingenious) ways people tackle difficult sudokus. And if a process (or a certain technique) offers effectiveness AND efficiency, this is something I like - as long as it does not become just dull routine. Drawing the little diagrams and looking at them is much easier on my eyes and brain than looking at the full grid - while still providing sufficient challenge.

If only I could find a way to combine both the diagrams (which provide support for coloring, multi-coloring, ER, w-wing, m-wing and combinations thereof) with keith's only partially filled grids (solo and bi-values), which make it very easy to spot xy-wings ...

Problem is, the diagrams visualize mostly strong links, wheras xy- and xyz-wings work with weak links, too. Well, we must leave some challenges for future generations, lol.
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