AU Tough December 7, 2012

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AU Tough December 7, 2012

Postby ArkieTech » Fri Dec 07, 2012 6:34 am

Code: Select all
 *-----------*
 |2..|.9.|.4.|
 |5..|...|8..|
 |..4|1..|.9.|
 |---+---+---|
 |..6|.4.|.1.|
 |..2|.3.|...|
 |.4.|218|.3.|
 |---+---+---|
 |1..|.8.|4..|
 |...|..9|6..|
 |...|.2.|.5.|
 *-----------*


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Re: AU Tough December 7, 2012

Postby Marty R. » Fri Dec 07, 2012 7:15 pm

Code: Select all
+------------+--------+------------+
| 2   6   37 | 8  9 5 | 1   4  37  |
| 5   9   1  | 3  7 4 | 8   6  2   |
| 378 38  4  | 1  6 2 | 357 9  357 |
+------------+--------+------------+
| 389 358 6  | 59 4 7 | 2   1  589 |
| 789 1   2  | 59 3 6 | 579 78 4   |
| 79  4   57 | 2  1 8 | 579 3  6   |
+------------+--------+------------+
| 1   25  59 | 6  8 3 | 4   27 79  |
| 4   23  38 | 7  5 9 | 6   28 1   |
| 6   7   89 | 4  2 1 | 39  5  389 |
+------------+--------+------------+

Play this puzzle online at the Daily Sudoku site

I'm giving up on the one-stepper which I know is in there.

XY-Wing 59-7 with transport.

7r5c8=r7c8-(7=9)r7c9-(9=5)r7c3-(5=7)r6c3=>r5c1<>7.

XY-Wing 89-7, pivoted in r5c1, with transport, =>r3c1<>7
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Re: AU Tough December 7, 2012

Postby ArkieTech » Fri Dec 07, 2012 8:03 pm

Code: Select all
 *--------------------------------------------------*
 | 2    6    37   | 8    9    5    | 1    4    37   |
 | 5    9    1    | 3    7    4    | 8    6    2    |
 | 378  38   4    | 1    6    2    | 357  9    357  |
 |----------------+----------------+----------------|
 | 389  38-5 6    |a59   4    7    | 2    1   a589  |
 | 789  1    2    | 59   3    6    | 579 b78   4    |
 | 79   4    57   | 2    1    8    | 579  3    6    |
 |----------------+----------------+----------------|
 | 1   c25   59   | 6    8    3    | 4   c27   79   |
 | 4    23   38   | 7    5    9    | 6    28   1    |
 | 6    7    89   | 4    2    1    | 39   5    389  |
 *--------------------------------------------------*
als xy-wing
(5=8)r4c49-(8=7)r5c8-(7=5)r7c28 => -5r4c2; stte
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Re: AU Tough December 7, 2012

Postby Marty R. » Fri Dec 07, 2012 8:44 pm

I found my one-stepper.

Code: Select all
+--------------+--------+--------------+
|  2    6   37 | 8  9 5 |  1    4  37  |
|  5    9   1  | 3  7 4 |  8    6  2   |
| F3-78 38  4  | 1  6 2 | E357  9  357 |
+--------------+--------+--------------+
|  389  358 6  | 59 4 7 |  2    1  589 |
| A789  1   2  | 59 3 6 | D579 C78 4   |
| B79   4   57 | 2  1 8 | D579  3  6   |
+--------------+--------+--------------+
|  1    25  59 | 6  8 3 |  4    27 79  |
|  4    23  38 | 7  5 9 |  6    28 1   |
|  6    7   89 | 4  2 1 | 39    5  389 |
+--------------+--------+--------------+


This was called XYZ-Transport when I first learned it and I get to use it perhaps once a year. I don't know how to Eureka it.

ABC is a flightless XYZ-Wing. Transport C to E via D. Now F sees all three pincers ABE and must be<>7.
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Re: AU Tough December 7, 2012

Postby David P Bird » Sat Dec 08, 2012 12:22 am

Using the (38)UR:r34c12:

(8)r3c2 = (8)r4c2 - (8)r4c1 = (8)Xwing:r34c12 -[UR]- (3)XWing:r34c12 = (3)r8c3 => r3c2 <> 3
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Re: AU Tough December 7, 2012

Postby JC Van Hay » Sat Dec 08, 2012 8:15 am

Marty R. wrote:I found my one-stepper.

Code: Select all
+--------------+--------+--------------+
|  2    6   37 | 8  9 5 |  1    4  37  |
|  5    9   1  | 3  7 4 |  8    6  2   |
| F3-78 38  4  | 1  6 2 | E357  9  357 |
+--------------+--------+--------------+
|  389  358 6  | 59 4 7 |  2    1  589 |
| A789  1   2  | 59 3 6 | D579 C78 4   |
| B79   4   57 | 2  1 8 | D579  3  6   |
+--------------+--------+--------------+
|  1    25  59 | 6  8 3 |  4    27 79  |
|  4    23  38 | 7  5 9 |  6    28 1   |
|  6    7   89 | 4  2 1 | 39    5  389 |
+--------------+--------+--------------+


This was called XYZ-Transport when I first learned it and I get to use it perhaps once a year. I don't know how to Eureka it.

ABC is a flightless XYZ-Wing. Transport C to E via D. Now F sees all three pincers ABE and must be<>7.

XYZWing["AB-C"]-D=E -> "(79=8)r56c1-(8=7)r5c8"-7r56c7=7r3c7 -> "7r56c1=7r5c8"-7r56c7=7r3c7 -> 7r56c1=7r3c7 :=> -7r3c1
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Re: AU Tough December 7, 2012

Postby tlanglet » Sat Dec 08, 2012 2:06 pm

Finally got around to looking at this puzzle....

ANP(79=8)r65c1-(8=7)r5c8-r7c8=r7c9-r1c9=7r1c3 => r3c1,r6c3<>7

Edit: After posting my solution, I reviewed the earlier posts and realized that I used the identical logic as Marty's xyz-wing except I used a long, messy transport. I find it interesting how we tend to view the same pattern through different eyes.
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