## AU Tough December 7, 2012

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### AU Tough December 7, 2012

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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dan

ArkieTech

Posts: 3041
Joined: 29 May 2006
Location: NW Arkansas USA

### Re: AU Tough December 7, 2012

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 |+------------+--------+------------+`

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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
Marty R.

Posts: 1508
Joined: 23 October 2012
Location: Rochester, New York, USA

### Re: AU Tough December 7, 2012

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`
dan

ArkieTech

Posts: 3041
Joined: 29 May 2006
Location: NW Arkansas USA

### Re: AU Tough December 7, 2012

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.
Marty R.

Posts: 1508
Joined: 23 October 2012
Location: Rochester, New York, USA

### Re: AU Tough December 7, 2012

Using the (38)UR:r34c12:

(8)r3c2 = (8)r4c2 - (8)r4c1 = (8)Xwing:r34c12 -[UR]- (3)XWing:r34c12 = (3)r8c3 => r3c2 <> 3
David P Bird
2010 Supporter

Posts: 1040
Joined: 16 September 2008
Location: Middle England

### Re: AU Tough December 7, 2012

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
JC Van Hay

Posts: 719
Joined: 22 May 2010

### Re: AU Tough December 7, 2012

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.
tlanglet
2010 Supporter

Posts: 538
Joined: 29 May 2010