## Collection February 26, 2013

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### Collection February 26, 2013

Code: Select all
` *-----------* |...|4.2|8.1| |4..|..5|.6.| |..3|...|...| |---+---+---| |.16|..4|...| |...|7.3|...| |...|2..|35.| |---+---+---| |...|...|4..| |.2.|1..|..9| |6.7|5.9|...| *-----------*`

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dan

ArkieTech

Posts: 3152
Joined: 29 May 2006
Location: NW Arkansas USA

### Re: Collection February 26, 2013

Code: Select all
`*-----------------------------------------------------------------------*| 579    5679   59      | 4      3679   2       | 8      39     1       || 4      789    12      | 389    13789  5       | 279    6      237     || 12     6789   3       | 689    16789  1678    | 2579   249    2457    ||-----------------------+-----------------------+-----------------------|| 3      1      6       | 89     5      4       | 279    289    278     || 2589   459    24589   | 7      689    3       | 169    1489   468     || 789    479    489     | 2      1689   168     | 3      5      468     ||-----------------------+-----------------------+-----------------------|| 1589   359    1589    | 368    23678  678     | 4      2378   56      ||a58     2     a458     | 1      34678 a678     |a56    a378    9       || 6     b34     7       | 5      2348   9       | 12     128-3  28-3    |*-----------------------------------------------------------------------*`

als xz-rule: (3=4) r8c13678 - (4=3) r9c2 => r9c89 <> 3; stte

Leren
Leren

Posts: 3462
Joined: 03 June 2012

### Re: Collection February 26, 2013

Much the same, but ALS-free:

(3=4) r9c2 - r8c3 = (4-3) r8c5 = (3) r8c8: => r9c89 <> 3

Phil
pjb
2014 Supporter

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Location: Sydney, Australia

### Re: Collection February 26, 2013

I found some interesting moves but none resulted in a clean progression of steps except by using the logic of the prior posts.

Ted
tlanglet
2010 Supporter

Posts: 538
Joined: 29 May 2010

### Re: Collection February 26, 2013

tlanglet wrote:I found some interesting moves but none resulted in a clean progression of steps except by using the logic of the prior posts.

All of my solver's ALS-free, single-step, chain solutions used <3> and <4> only -- including Phil's M-Wing. I couldn't even get away from them in the ALS-type solutions. (The first two solutions are different perspectives of the same outcome.)

Code: Select all
` +-----------------------------------------------------------------------+ |  579    5679   59     |  4      3679   2      |  8      39     1      | |  4      789    12     |  389    13789  5      |  279    6      237    | |  12     6789   3      |  689    16789  1678   |  2579   249    2457   | |-----------------------+-----------------------+-----------------------| |  3      1      6      |  89     5      4      |  279    289    278    | |  2589   459    24589  |  7      689    3      |  169    1489   468    | |  789    479    489    |  2      1689   168    |  3      5      468    | |-----------------------+-----------------------+-----------------------| |  1589   359    1589   |  368    23678  678    |  4      2378   56     | |  58     2      458    |  1      34678  678    |  56     378    9      | |  6      34     7      |  5      2348   9      |  12     1238   238    | +-----------------------------------------------------------------------+ # 124 eliminations remain ANT: (4)r9c5 = (4-3)r8c5 = r8c8 - (3=128)r9c789              =>  r9c5<>28 AHP: (4)r9c5 = (4-3)r8c5 = r8c8 - (3    )r9c 89 = (34)r9c25  =>  r9c5<>28 ANQ: (5678=3)r8c1678 - r1c8 = r2c9 - r2c4 = r7c4 - (3=1589)r7c123,r8c1  =>  r8c3<>58, r7c8<>3`
daj95376
2014 Supporter

Posts: 2624
Joined: 15 May 2006

### Re: Collection February 26, 2013

pjb wrote:Much the same, but ALS-free:

(3=4) r9c2 - r8c3 = (4-3) r8c5 = (3) r8c8: => r9c89 <> 3

Phil

Same, but I'm adding the technique name, M-Wing.
Marty R.

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Location: Rochester, New York, USA