Vanhegan Fiendish November 22, 2012

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Vanhegan Fiendish November 22, 2012

Postby ArkieTech » Fri Nov 23, 2012 7:32 am

Code: Select all
 *-----------*
 |.9.|..5|7..|
 |.1.|.3.|.6.|
 |3..|..8|.52|
 |---+---+---|
 |.4.|.9.|..1|
 |...|8.2|...|
 |9..|.5.|.8.|
 |---+---+---|
 |68.|9..|..5|
 |.3.|.4.|.7.|
 |..1|5..|.3.|
 *-----------*


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dan
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Re: Vanhegan Fiendish November 22, 2012

Postby storm_norm22 » Fri Nov 23, 2012 9:01 am

Code: Select all
+-----------------+----------------+-------------+
| 8(2)  9    468  | 246  (26)  5   | 7    1  3   |
| (27)  1    5    | 27   3     9   | 48   6  48  |
| 3     67   467  | 467  1     8   | 9    5  2   |
+-----------------+----------------+-------------+
| 8(7)  4    678  | 3    9     6-7 | 5    2  1   |
| 1     5    36-7 | 8    (67)  2   | 346  9  467 |
| 9     267  2367 | 1    5     4   | 36   8  67  |
+-----------------+----------------+-------------+
| 6     8    27   | 9    27    3   | 1    4  5   |
| 5     3    9    | 26   4     1   | 268  7  68  |
| 4     27   1    | 5    8     67  | 26   3  9   |
+-----------------+----------------+-------------+

(this is a one stepper)

(7=6)r5c5 - (6=2)r1v5 - (2)r1c1 = (2-7)r2c1 = (7)r4c1; r4c6, r5c3 <> 7
-------------

and just for kicks, here is a chain off the strong inference in the deadly pattern 468 in columns 7 and 9 (not a one stepper)

Image

the DP is contained within columns 7 and 9. the only outlet for any of the DP candidates (4,6,8) in columns 7 and 9 are the 6's in r6c79 and r9c7 which gives them a strong inference.

(6)r6c79 = (6)r9c7; r5c7 <> 6
and

(6)r8c4 = (6)r9c6 - DP(468)r259c79[(6)r7c9 = (6)r6c79] - (6)r6c23 = (6)r456c3 - (6)r13c3 = (6)r3c23; r3c4 <> 6

:shock: :mrgreen: 8-)
Norm
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Re: Vanhegan Fiendish November 22, 2012

Postby ArkieTech » Fri Nov 23, 2012 12:25 pm

another view :D

Code: Select all
 *-----------------------------------------------------------*
 |b28    9     468   | 246  c26    5     | 7     1     3     |
 | 27    1     5     | 27    3     9     | 48    6     48    |
 | 3     67    467   | 467   1     8     | 9     5     2     |
 |-------------------+-------------------+-------------------|
 |a78    4     678   | 3     9     6-7   | 5     2     1     |
 | 1     5     36-7  | 8    c67    2     | 346   9     467   |
 | 9     267   2367  | 1     5     4     | 36    8     67    |
 |-------------------+-------------------+-------------------|
 | 6     8     27    | 9     27    3     | 1     4     5     |
 | 5     3     9     | 26    4     1     | 268   7     68    |
 | 4     27    1     | 5     8     67    | 26    3     9     |
 *-----------------------------------------------------------*
als-xy-wing
(7=8)r4c1-(8=2)r1c1-(2r1c5=7r5c5)als:r15c5 => -7r4c6,r5c3
dan
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Re: Vanhegan Fiendish November 22, 2012

Postby Marty R. » Fri Nov 23, 2012 5:39 pm

Code: Select all
+-------------+-----------+-----------+
| 28 9   468  | 246 26 5  | 7   1 3   |
| 27 1   5    | 27  3  9  | 48  6 48  |
| 3  67  467  | 467 1  8  | 9   5 2   |
+-------------+-----------+-----------+
| 78 4   678  | 3   9  67 | 5   2 1   |
| 1  5   367  | 8   67 2  | 346 9 467 |
| 9  267 2367 | 1   5  4  | 36  8 67  |
+-------------+-----------+-----------+
| 6  8   27   | 9   27 3  | 1   4 5   |
| 5  3   9    | 26  4  1  | 268 7 68  |
| 4  27  1    | 5   8  67 | 26  3 9   |
+-------------+-----------+-----------+

Play this puzzle online at the Daily Sudoku site

I treated it as an XY-Wing (26-7) pivoted in r8c4 with pincers in r9c6 and r2c4 with a transport of the latter.

(7=6)r9c6-(6=2)r8c4-r2c4=(2-7)r2c2=7r4c1==>r4c6z<>7
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