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Another Vanhegan

 
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keith



Joined: 19 Sep 2005
Posts: 3174
Location: near Detroit, Michigan, USA

PostPosted: Thu Jan 17, 2013 7:52 am    Post subject: Another Vanhegan Reply with quote

This one has a pattern first noted (at least on this forum) by yours truly many years ago.
Code:
Puzzle: vH5-1229678f2.2.0.1
+-------+-------+-------+
| . . . | . 6 5 | . 2 . |
| 4 . 6 | 2 8 . | 5 . . |
| . 2 . | 7 . . | . 6 . |
+-------+-------+-------+
| 6 . . | 5 . 9 | 4 1 . |
| 1 7 . | . . . | . 5 2 |
| . 4 5 | 1 . 2 | . . 6 |
+-------+-------+-------+
| . 6 . | . . 7 | . 4 . |
| . . 4 | . 1 8 | 2 . 9 |
| . 1 . | 3 2 . | . . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Thu Jan 17, 2013 8:19 am    Post subject: Reply with quote

Code:
 *-----------------------------------------------------------*
 | 78-3  389   1378  | 4     6     5     | 1389  2     138   |
 | 4    a39    6     | 2     8     1     | 5    a39    7     |
 | 5     2     18    | 7     9     3     | 18    6     4     |
 |-------------------+-------------------+-------------------|
 | 6     38    2     | 5     7     9     | 4     1     38    |
 | 1     7     39    | 8     4     6     | 39    5     2     |
 | 89    4     5     | 1     3     2     | 7     89    6     |
 |-------------------+-------------------+-------------------|
 | 2     6     38    | 9     5     7     | 138   4     138   |
 |a37    5     4     | 6     1     8     | 2    a37    9     |
 | 789   1     789   | 3     2     4     | 6     78    5     |
 *-----------------------------------------------------------*
double skyscraper
3r8c1=r8c8-r2c8=3r2c2 => -3r1c1; stte
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Clement



Joined: 24 Apr 2006
Posts: 684
Location: Dar es Salaam Tanzania

PostPosted: Thu Jan 17, 2013 2:08 pm    Post subject: Another Vanhegan Reply with quote

Also solved by Sashimi Finned X-Wing on 3 in col 18; r1c79<>3.
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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Thu Jan 17, 2013 5:40 pm    Post subject: Reply with quote

Dan, I don't know why your Skyscraper is a double; it's just a Skyscraper to my eyes.

At any rate, that was one of three solutions that I noted. The other two were a Kite on 3 pivoted in box 1 and a flightless XY-Wing on 39-8 pivoted in r5c3.

Clement, I can't see a Sashimi in c18.
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Thu Jan 17, 2013 8:14 pm    Post subject: Reply with quote

Marty R. wrote:
Dan, I don't know why your Skyscraper is a double; it's just a Skyscraper to my eyes.


I just show one.

Here is the other:

Code:
 *-----------------------------------------------------------*
 |a378   389   1378  | 4     6     5     | 1389  2     138   |
 | 4     9-3   6     | 2     8     1     | 5    b39    7     |
 | 5     2     18    | 7     9     3     | 18    6     4     |
 |-------------------+-------------------+-------------------|
 | 6     38    2     | 5     7     9     | 4     1     38    |
 | 1     7     39    | 8     4     6     | 39    5     2     |
 | 89    4     5     | 1     3     2     | 7     89    6     |
 |-------------------+-------------------+-------------------|
 | 2     6     38    | 9     5     7     | 138   4     138   |
 |a37    5     4     | 6     1     8     | 2    b37    9     |
 | 789   1     789   | 3     2     4     | 6     78    5     |
 *-----------------------------------------------------------*


each solves the puzzle without the other. Sorry of the confusion. Sad
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keith



Joined: 19 Sep 2005
Posts: 3174
Location: near Detroit, Michigan, USA

PostPosted: Thu Jan 17, 2013 9:14 pm    Post subject: Reply with quote

After an XY-wing 3-89 in C13,
Code:
+-------------+-------------+-------------+
| 378 389 37  | 4   6   5   | 139 2   13  |
| 4   39  6   | 2   8   1   | 5   39  7   |
| 5   2   1   | 7   9   3   | 8   6   4   |
+-------------+-------------+-------------+
| 6   38  2   | 5   7   9   | 4   1   38  |
| 1   7   39  | 8   4   6   | 39  5   2   |
| 89  4   5   | 1   3   2   | 7   89  6   |
+-------------+-------------+-------------+
| 2   6   38  | 9   5   7   | 13  4   138 |
| 37  5   4   | 6   1   8   | 2   37  9   |
| 79  1   789 | 3   2   4   | 6   78  5   |
+-------------+-------------+-------------+

There is a type 6 (type 5?) UR 13 that solves R1C9 as 1, etc. You still need a move on 3 to complete the puzzle.

Keith


Last edited by keith on Thu Jan 17, 2013 10:25 pm; edited 1 time in total
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Clement



Joined: 24 Apr 2006
Posts: 684
Location: Dar es Salaam Tanzania

PostPosted: Thu Jan 17, 2013 10:10 pm    Post subject: Reply with quote

Marty R. wrote:
Dan, I don't know why your Skyscraper is a double; it's just a Skyscraper to my eyes.

At any rate, that was one of three solutions that I noted. The other two were a Kite on 3 pivoted in box 1 and a flightless XY-Wing on 39-8 pivoted in r5c3.

Clement, I can't see a Sashimi in c18.
When using the"fin"or "filleting"rule it is permissible for the x-wing to be missing a corner in the finned box. The fin 39 is in r2c8 in BOX 3 (the finned box). The missing corner is in r1c8(the given 2).
The elimination: If r2c8=3; r1c79<>3. If not then r8c8=3; r8c1<3> r1c1=3; r1c79<>3 which solves it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Thu Jan 17, 2013 10:45 pm    Post subject: Reply with quote

keith wrote:
After an XY-wing 3-89 in C13,
Code:
+-------------+-------------+-------------+
| 378 389 37  | 4   6   5   | 139 2   13  |
| 4   39  6   | 2   8   1   | 5   39  7   |
| 5   2   1   | 7   9   3   | 8   6   4   |
+-------------+-------------+-------------+
| 6   38  2   | 5   7   9   | 4   1   38  |
| 1   7   39  | 8   4   6   | 39  5   2   |
| 89  4   5   | 1   3   2   | 7   89  6   |
+-------------+-------------+-------------+
| 2   6   38  | 9   5   7   | 13  4   138 |
| 37  5   4   | 6   1   8   | 2   37  9   |
| 79  1   789 | 3   2   4   | 6   78  5   |
+-------------+-------------+-------------+

There is a type 6 (type 5?) UR 13 that solves R1C9 as 1, etc. You still need a move on 3 to complete the puzzle.

Keith


Keith,

It can be solved by one of my favorite techniques, creating pincers from the killer possibilities. The 8 proves 9 in r5c3; r5c7<>9
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keith



Joined: 19 Sep 2005
Posts: 3174
Location: near Detroit, Michigan, USA

PostPosted: Fri Jan 18, 2013 2:40 am    Post subject: Reply with quote

Marty R. wrote:

Keith,

It can be solved by one of my favorite techniques, creating pincers from the killer possibilities. The 8 proves 9 in r5c3; r5c7<>9

Marty,

Yes. But do not forget you are standing on the shoulders of midgets. Very Happy

The original UR + X-wing was deemed a tough nut at the time.

Keith
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