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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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 Posted: Thu Aug 23, 2012 5:05 am Post subject: Collection August 23, 2012 |
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| Code: |
*-----------*
|..3|.7.|.4.|
|7.5|.3.|..1|
|2..|1..|...|
|---+---+---|
|1..|9..|4..|
|9..|2.6|..7|
|..6|..7|..2|
|---+---+---|
|...|..5|..8|
|6..|.9.|3.5|
|.7.|.6.|1..|
*-----------*
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SudoQ
Joined: 02 Aug 2011
Posts: 127
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| Posted: Thu Aug 23, 2012 8:55 am Post subject: |
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There are simpler steps, but this one has an additional value: | Code: | |---------------|------------------|--------------------|
| 8 1 3 | 56 7 29 | 2569 4 69 |
| 7 469 5 | 468 3 2489 | 2689 2689 1 |
| 2 469 (49) | 1 458 489 | 56789 356789 369 |
|---------------|------------------|--------------------|
| 1 2 7 | 9 58 38 | 4 3568 36 |
| 9 3458 8-4 | 2 1458 6 | 58 1358 7 |
| 3/4 3458 6 | 3458 1458 7 | 589 13589 2 |
|---------------|------------------|--------------------|
|/34 4/39 1 | 347 2 5 | 679 679 8 |
| 6 48 248 | 478 9 1 | 3 27 5 |
| 5 7 28/9 | 38 6 38 | 1 29 4 |
|---------------|------------------|--------------------| |
If r3c3 is not 4 then r6c1 is 4.
/SudoQ |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Aug 23, 2012 11:07 am Post subject: |
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A new method.
For me anyway.
| Code: |
*--------------------------------------------------------------------*
| 8 1 3 | 56 7 2 | 56 4 9 |
| 7 #49 5 | 68 3 49 | 2 68 1 |
| 2 6 49 | 1 58 49 | 578 578 3 |
|----------------------+----------------------+----------------------|
| 1 2 7 | 9 58 38 | 4 358 6 |
| 9 3458 48 | 2 14 6 | 58 1358 7 |
| 34 3458 6 | 358 14 7 | 589 13589 2 |
|----------------------+----------------------+----------------------|
|#34 *349 1 | 47 2 5 | 679 679 8 |
| 6 *48 248 | 47 9 1 | 3 27 5 |
| 5 7 29 | 38 6 38 | 1 29 4 |
*--------------------------------------------------------------------*
Aligned Pair Exclusion (APE)
r78c2 possibles 34*,38,48,94*,98
34 is not possible due to no remaining value for r7c1
94 is not possible due to no remaining value for r2c2
Therefore r8c2 cannot be a 4; stte
There is another APE in the grid. Can you find it?
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SudoQ
Joined: 02 Aug 2011
Posts: 127
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| Posted: Thu Aug 23, 2012 11:34 am Post subject: |
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| arkietech wrote: | | A new method. |
Isn't this a XYZ-wing?
/SudoQ |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Aug 23, 2012 11:57 am Post subject: |
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| SudoQ wrote: | | Isn't this a XYZ-wing? |
Interesting 
Have the APES evolved?  |
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Clement
Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
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| Posted: Thu Aug 23, 2012 12:59 pm Post subject: Collection August 23, 2012 |
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| Also the W-Wing 48 with SL 4 in BOX 1; r56c2<>8 solves it. |
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SudoQ
Joined: 02 Aug 2011
Posts: 127
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| Posted: Thu Aug 23, 2012 12:59 pm Post subject: |
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| arkietech wrote: | Interesting
Have the APES evolved? |
| Code: | |---------------|-------------|---------------|
| 8 1 3 | 56 7 2 | 56 4 9 |
| 7 (94)xz 5 | 68 3 49 | 2 68 1 |
| 2 6 49 | 1 58 49 | 578 578 3 |
|---------------|-------------|---------------|
| 1 2 7 | 9 58 38 | 4 358 6 |
| 9 3458 48 | 2 14 6 | 58 1358 7 |
| 34 3458 6 | 358 14 7 | 589 13589 2 |
|---------------|-------------|---------------|
| yz xyz | | |
|(34)(934) 1 | 47 2 5 | 679 679 8 |
| 6 8-4 248 | 47 9 1 | 3 27 5 |
| 5 7 29 | 38 6 38 | 1 29 4 |
|---------------|-------------|---------------| |
The pattern and the result looked to be the same,
but method names are not my strong suit...
/SudoQ |
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Clement
Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
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| Posted: Thu Aug 23, 2012 1:04 pm Post subject: Collection August 23, 2012 |
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| Also the W-Wing 48 with SL 4 in BOX 1; r56c2<>8 solves it. |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Aug 23, 2012 1:39 pm Post subject: |
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The other one is not a clean xyz-wing.
| Code: |
*--------------------------------------------------------------------*
| 8 1 3 | 56 7 2 |*56 4 9 |
| 7 49 5 | 68 3 49 | 2 #68 1 |
| 2 6 49 | 1 58 49 |*57-8 578 3 |
|----------------------+----------------------+----------------------|
| 1 2 7 | 9 58 38 | 4 358 6 |
| 9 3458 48 | 2 14 6 |#58 1358 7 |
| 34 3458 6 | 358 14 7 | 589 13589 2 |
|----------------------+----------------------+----------------------|
| 34 349 1 | 47 2 5 | 679 679 8 |
| 6 48 248 | 47 9 1 | 3 27 5 |
| 5 7 29 | 38 6 38 | 1 29 4 |
*--------------------------------------------------------------------*
APE:
r13c7 possibles 57,58*,65,67,68*
58 is not possible due to no remaining value for r5c7
68 is not possible due to no remaining value for r2c8
Therefore r3c7 cannot be an 8; doesn't solve the puzzle
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Aug 23, 2012 3:04 pm Post subject: |
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I remember looking into Aligned Pair Exclusions early in my Sudoku experience. APE was noted to be "a hard to spot, laborious and complex technique which has a large overlap with easier techniques like xy-wing and xyz-wing". I quickly forgot it.......
In the two examples you posted, the first is identical to a xyz-wing. The second is overlaid by a xy-wing(56-8)r1c7+r2c8|r5c7 which has additional deletions to the one detected by the APE.
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Aug 23, 2012 4:37 pm Post subject: |
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I just played the XYZ-Wing.
A couple of years ago when APE was a hot topic here, Keith had some comments and I quote:
"APE is a monkey that you should not worry about.
I welcome any example of an APE exclusion that is not an XY... wing." |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Aug 23, 2012 6:59 pm Post subject: |
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Thanks guys for getting me up to date on the demise of the APE.
Are there other methods worth a relook of to be forgotten? |
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Luke451
Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
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| Posted: Sat Aug 25, 2012 1:39 am Post subject: |
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I agree that APE is a dead monkey, but since this is a slow news day...
First of all, I was under the impression that APE has been subsumed by ALS-xz, but I cannot gainsay Keith's "xy..." claim.
Anyways, for your your amusement, here's an example the kind of pushups we'd go through while ignoring the ALS-xz or wxyz wing (among other techniques) to utilize the APE.
| Code: | *--------------------------------------------------------------------*
| 3 9 57 | 4 28 258 | 6 178 18 |
| 1 4 57 | 358 36 568 | 2 789 89 |
| 8 26 26 | 9 7 1 | 34 5 34 |
|----------------------+----------------------+----------------------|
| 2479 38 1 | 6 28 45 | 34579 *239 *23459 |
| 247 5 38 | 278 9 248 | 1347 6 1234 |
| 24679 267 246 | 57 1 3 | 8 29 2459 |
|----------------------+----------------------+----------------------|
| 24 1 2348 | 238 5 7 | 39 2389 6 |
| 257 2378 9 | 1238 36 268 | 135 4 12358 |
| 256 2368 2368 | 1238 4 9 | 135 1238 7 |
*--------------------------------------------------------------------*
APE with triples, r4c9<>2 |
The corresponding ALS-xz/wxyz-wing: (29=3)r46c8-(3=82)r4c25 ==>r4c9<>2 |
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