Vanhegan Extreme July 14, 2013

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Vanhegan Extreme July 14, 2013

Postby ArkieTech » Sun Jul 14, 2013 12:35 am

Code: Select all
 *-----------*
 |...|.15|.47|
 |2..|...|..5|
 |.53|4..|2..|
 |---+---+---|
 |...|..7|89.|
 |5..|1.9|..6|
 |.39|8..|...|
 |---+---+---|
 |..5|..4|93.|
 |9..|...|..4|
 |37.|98.|...|
 *-----------*


Play/Print this puzzle online
dan
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Re: Vanhegan Extreme July 14, 2013

Postby pjb » Sun Jul 14, 2013 1:01 am

Code: Select all
 8      9      6      | 2      1      5      | 3      4      7     
 2      4      1-7    | 367    9      368    | 16     168    5     
d17     5      3      | 4      67     68     | 2      168    9     
 ---------------------+----------------------+---------------------
 146    126    12     | 56     2456   7      | 8      9      3     
 5     #28   a#278    | 1      3      9      | 4      27     6     
 46-7   3      9      | 8      246    26     | 157    1257   12     
 ---------------------+----------------------+---------------------
c16     126    5      | 67     267    4      | 9      3      8     
 9    b#268   #28     | 356    256    1236   | 167    1267   4     
 3      7      4      | 9      8      126    | 156    1256   12     


(7=6) [DP 28 r58c23] - (6=1)r7c1 - (1=7) r3c1 => -7 r2c3, r6c1; stte

Phil
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Re: Vanhegan Extreme July 14, 2013

Postby Leren » Sun Jul 14, 2013 6:54 am

Code: Select all
*--------------------------------------------------------------*
| 8     9     6      | 2     1     5      | 3     4     7      |
| 2     4     17     | 367   9     368    | 16    168   5      |
| 17    5     3      | 4     67    68     | 2     168   9      |
|--------------------+--------------------+--------------------|
| 146  a126  a12     | 56    2456  7      | 8     9     3      |
| 5   ba28  ba7-28   | 1     3     9      | 4     27    6      |
| 467   3     9      | 8     246   26     | 157   1257  12     |
|--------------------+--------------------+--------------------|
| 16    126   5      | 67    267   4      | 9     3     8      |
| 9    b268  b28     | 356   256   1236   | 167   1267  4      |
| 3     7     4      | 9     8     126    | 156   1256  12     |
*--------------------------------------------------------------*

Consider ALS (12678) r45c23 and potential DP (28) r58c23.

ALS/DP Conflict: (7) r5c3 = ALS = (6) r4c2; (7) r5c3 = DP = (6) r8c2: conflict => - 28 r5c3; stte

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Re: Vanhegan Extreme July 14, 2013

Postby ArkieTech » Sun Jul 14, 2013 11:12 am

pjb wrote:(7=6) [DP 28 r58c23] - (6=1)r7c1 - (1=7) r3c1 => -7 r2c3, r6c1; sttel

:D Nice one Phil -- is this a new type xy-wing?
dan
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Re: Vanhegan Extreme July 14, 2013

Postby tlanglet » Sun Jul 14, 2013 12:44 pm

I initially also used the almost UR(28)r58c23 but with a different deletion than that posted by Phil. I then looked for an alternate solution and found a couple of fun steps but they were not single steps so I reverted again to an ANS() solution.

Code: Select all
*-----------------------------------------------------------*
 | 8     9     6     | 2     1     5     | 3     4     7     |
 | 2     4    f17    |g367   9     368   | 16    168   5     |
 | 17    5     3     | 4     67    68    | 2     168   9     |
 |-------------------+-------------------+-------------------|
 | 146   126   12    | 56   a2456  7     | 8     9     3     |
 | 5     28   e278   | 1     3     9     | 4    d27    6     |
 | 467   3     9     | 8    a246  b26    | 157  c1257 c12    |
 |-------------------+-------------------+-------------------|
 | 1-6   12-6  5     |*67   *67=2  4     | 9     3     8     |
 | 9     268   28    | 35-6  25-6  123-6 | 167   1267  4     |
 | 3     7     4     | 9     8     12-6  | 156   1256  12    |
 *-----------------------------------------------------------*

ANS(67=2)r7c45-r46c5=r6c6-r6c89=(2-7)r5c8=r5c3-r2c3=r2c4-(7=6)r7c4 => r7c12,r8c456,r9c6<>6

Ted
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Re: Vanhegan Extreme July 14, 2013

Postby Marty R. » Sun Jul 14, 2013 3:19 pm

pjb wrote:
Code: Select all
 8      9      6      | 2      1      5      | 3      4      7     
 2      4      1-7    | 367    9      368    | 16     168    5     
d17     5      3      | 4      67     68     | 2      168    9     
 ---------------------+----------------------+---------------------
 146    126    12     | 56     2456   7      | 8      9      3     
 5     #28   a#278    | 1      3      9      | 4      27     6     
 46-7   3      9      | 8      246    26     | 157    1257   12     
 ---------------------+----------------------+---------------------
c16     126    5      | 67     267    4      | 9      3      8     
 9    b#268   #28     | 356    256    1236   | 167    1267   4     
 3      7      4      | 9      8      126    | 156    1256   12     


(7=6) [DP 28 r58c23] - (6=1)r7c1 - (1=7) r3c1 => -7 r2c3, r6c1; stte

Phil


Same.

I initially also used the almost UR(28)r58c23


Ted, you're incorrigible!! It's not almost, it's a full-fledged, pure Type 6 UR!! :lol: :mrgreen: :lol: :mrgreen:
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Re: Vanhegan Extreme July 14, 2013

Postby tlanglet » Mon Jul 15, 2013 12:18 pm

Marty R. wrote:Ted, you're incorrigible!! It's not almost, it's a full-fledged, pure Type 6 UR!! :lol: :mrgreen: :lol: :mrgreen:


Marty,, you are correct on both counts: I just ckecked and it is a Type 6 UR, and I have been called worse than "incorrigible".

When I see a pattern like this, I immediately start working with the internal and/or external strong inferences. In this specific case, I believe I used the obvious internal conditions without ever looking at the field of digit 2s or digit 8s so I never considered if it was Type 6.

I would differ that this case is not an almost pattern. All such patterns are almost patterns but we have named a few special cases differently .

Ted :)

P.S. One day I may even surprise myself by using the phrase "almost x-wing" instead of a "finned x-wing".
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