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VH+ by JPF (game 0045)

 
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Mon Aug 11, 2008 4:09 pm    Post subject: VH+ by JPF (game 0045) Reply with quote

Code:
 +-------+-------+-------+
 | . . 1 | 2 . . | . . . |
 | . 3 . | . . 4 | 5 . . |
 | 6 . . | . . . | . 1 . |
 +-------+-------+-------+
 | 1 . . | 7 . . | . 6 . |
 | . . . | . . . | . . . |
 | . 4 . | . . 8 | . . 5 |
 +-------+-------+-------+
 | . 9 . | . . . | . . 4 |
 | . . 3 | 6 . . | . 7 . |
 | . . . | . . 5 | 8 . . |
 +-------+-------+-------+ JPF
>>> play online
I forgot to answer a PM question, where these puzzles are from. I find them in the Patterns Game. Puzzles with ratings between 6.9 and 7.2 may be good candidates for a VH+. But they also can be rather hard, so be careful.
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nataraj



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

PostPosted: Mon Aug 11, 2008 4:42 pm    Post subject: Re: VH+ by JPF (game 0045) Reply with quote

ravel wrote:
they also can be rather hard, so be careful.


Thanks for the warning, ravel. That is a long way through basics ...
In case anyone wants to skip the drudgery:
Code:

+--------------------------+--------------------------+--------------------------+
| 5       78      1        | 2       39      6        | 3479    3489    3789     |
| 289     3       289      | 1       7       4        | 5       28      6        |
| 6       27      4        | 8       5       39       | 2379    1       2379     |
+--------------------------+--------------------------+--------------------------+
| 1       28      5        | 7       234     23       | 2349    6       2389     |
| 2389    6       289      | 5       234     1        | 2347    2348    2378     |
| 23      4       7        | 9       6       8        | 1       23      5        |
+--------------------------+--------------------------+--------------------------+
| 28      9       28       | 3       1       7        | 6       5       4        |
| 4       5       3        | 6       8       29       | 29      7       1        |
| 7       1       6        | 4       29      5        | 8       239     239      |
+--------------------------+--------------------------+--------------------------+


play online

swordfish(2) and x-wing/coloring(9) seem to be a good start:
the swordfish gets rid of 2 in r9c8, which opens an xy-wing.
the x-wing removes 9 from r9c9, which opens another xy-wing

Also, a w-wing (28) r7c1,r2c8 with strong link (2) in row 6
And, using the strong link on 9 in col 8, a very generalized m-wing (3) r1c5=r9c9 (removes 3 from r1c9, same result as the second xy-wing).
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nataraj



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

PostPosted: Mon Aug 11, 2008 5:28 pm    Post subject: Reply with quote

After cleanup, a w-wing (3) r4c6=r6c8 via strong link (2) in row 5 removes 3 from r4c7 and r4c9

Code:

+--------------------------+--------------------------+--------------------------+
| 5       78      1        | 2       39      6        | 34      349     78       |
| 289     3       289      | 1       7       4        | 5       28      6        |
| 6       27      4        | 8       5       39       | 2379    1       2379     |
+--------------------------+--------------------------+--------------------------+
| 1       28      5        | 7       234     23*      |-349     6       2-389    |
| 389     6       89       | 5       234#    1        | 347     348     2378#    |
| 23      4       7        | 9       6       8        | 1       23*     5        |
+--------------------------+--------------------------+--------------------------+
| 28      9       28       | 3       1       7        | 6       5       4        |
| 4       5       3        | 6       8       29       | 29      7       1        |
| 7       1       6        | 4       29      5        | 8       39      23       |
+--------------------------+--------------------------+--------------------------+


at which point an m-wing (49 in r4c7, (4)r1c7=r1c8 and (9)r1c8=r9c8) eliminates 9 in r8c7 and the puzzle finally is solved.
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Tue Aug 12, 2008 8:47 pm    Post subject: Reply with quote

My warning was about the puzzles with ratings SE 6.9 to 7.2, not the ones i selected Smile

This one is "very easy" after basics. Obviously Myth Jellies and Asellus have not seen it so far. I was lucky to find it.
Its a one-quick-trick-pony.
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Tue Aug 12, 2008 9:57 pm    Post subject: Reply with quote

ravel wrote:
Obviously Myth Jellies and Asellus have not seen it so far.

I've seen it now. There's a 6-cell 289 DP in the left tower: r5c1 must be <3>, easily solving the puzzle. (Sorry, nataraj!)
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Tue Aug 12, 2008 10:05 pm    Post subject: Reply with quote

Ravel, are you stopping your posting career on this site at 999??
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nataraj



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

PostPosted: Fri Aug 15, 2008 11:28 am    Post subject: Reply with quote

Asellus wrote:
There's a 6-cell 289 DP in the left tower: r5c1 must be <3>, easily solving the puzzle. (Sorry, nataraj!)


Ah, but no reason to be sorry. I know those DPs going beyond simple rectangular shapes are on my "to get comfortable with" list. Matter of fact, I looked at those cells but could not make a useful elimination. Even now I see the 28s in r8 quite clearly but how to construct a usable DP in r2 and r5, especially with the 27 and 28 cells in boxes 1 and 4 - still eludes me. Could you please spare a few more words .. is this a DP with tri-value cells or just a regular 28-29-89 pattern?

I have been away for a few days, travelling in Europe, and will be away from home for the better part of next week , but I hope to have broadband internet access at least in some of the hotels, so I don't miss my daily sudoku fix ... (getting much closer to kragzy's time zone; maybe I'll be posting about "today"'s vh when you guys in the USofA are coming home from the office, that's going to be weird ...)Smile

See you all again a week from now (or earlier if technology permits). BTW, I had the same problem as keith (what to take on a trip to a desert island) and took a supply of this site's VHs (Aug-Nov last year, hoping I've forgotten the solutions) some Times fiendish and super fiendish, and a HSDPA/GSM card for my notebook just in case Laughing

Keep up the good work! Smile
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Fri Aug 15, 2008 7:09 pm    Post subject: Reply with quote

nataraj wrote:
Ah, but no reason to be sorry.

None, indeed. It was 'said' tongue-in-cheek ... a much too lame attempt at humor, I'm afraid.
nataraj wrote:
Could you please spare a few more words .. is this a DP with tri-value cells or just a regular 28-29-89 pattern?

The conjugate <9>s in the r2 trivalues are the key. In effect, this will either be an 89 pair or a 29 pair. In the former case, it is a Type 1 UR. In the latter case, it is a "Type 1" 29-89-28 6-cell bivalue DP. Either way, r5c1 is 3.
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Sat Aug 16, 2008 2:04 pm    Post subject: Reply with quote

In Myth Jellies' thread you can find some multidigit deadly patterns. If you look at this one

3-digit 2-row 3-column 3-box
Code:
 .   abc . | .   abc . | .   abc .
 .   abc . | .   abc . | .   abc .
 .   .   . | .   .   . | .   .   .
-----------+-----------+-----------

it is immediately clear, that also
Code:
 .   abc . | .   abc . | .   ab  .
 .   abc . | .   abc . | .   ab  .
 .   .   . | .   .   . | .   .   .
-----------+-----------+-----------
is deadly.

Another way to see it is:
If you have a solution
Code:
 .  1  . | .  2  . | .  3  .
 .  2  . | .  3  . | .  1  .
 .  .  . | .  .  . | .  .  .
---------+---------+---------
you always can swap the numbers in rows 1 and 2 to get a second solution (provided that none is a given here).
The reason is, that you have pairs in columns and boxes and triples in the rows. So no 1, 2 or 3 in the solution can prevent this swapping.
And any solution you can get with the above patterns will have the same properties.
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada

PostPosted: Sat Aug 16, 2008 9:53 pm    Post subject: Reply with quote

What's a DP? - A Deadly Pattern? I've recently noticed a surge in the use of this acronym. I see a Type 2 UR which knocks of a 9 in B1 - which then leads to an x-wing on 9. But can't get further - still too much clutter in B3 and 6.
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Sun Aug 17, 2008 4:10 am    Post subject: Reply with quote

As ravel points out, my use of the conjugate <9>s was over-determining. I rather thought it might be.

Craig,

Yes, DP is Deadly Pattern. I see a 28 Type 2 UR in r27c13, but it has no victims. So, I'm not following you. Maybe you're seeing something else? In any case, the 6-cell DP we are discussing immediately determines r5c1=3 and solves the puzzle. Forgoing that, nataraj's solution works as an alternative.
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