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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sun Jan 24, 2010 7:22 pm Post subject: Super Hard Menneske |
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I enjoyed this one.
| Code: | Puzzle: M5307230sh(19)
+-------+-------+-------+
| . 6 . | . 4 . | 3 . 8 |
| . . 2 | . 6 . | . . 7 |
| . . . | 3 . 2 | . 6 . |
+-------+-------+-------+
| . . 8 | 2 . 6 | 7 . . |
| 2 4 . | . . . | . 1 5 |
| . . 7 | 4 . 5 | 8 . . |
+-------+-------+-------+
| 5 . . | 1 . 3 | . . . |
| . . 6 | . 5 . | 2 . . |
| 7 2 . | . 8 . | . 5 . |
+-------+-------+-------+ |
Keith |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Sun Jan 24, 2010 8:49 pm Post subject: |
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I like it! | Code: | *-----------------------------------------------------------*
| 19 6 159 | 57 4 17 | 3 2 8 |
| 34 13 2 | 58 6 18 | 1459 49 7 |
| 8 7 145 | 3 9 2 | 145 6 14 |
|-------------------+-------------------+-------------------|
| 19 5 8 | 2 13 6 | 7 349 49 |
| 2 4 3 | 89 7 89 | 6 1 5 |
| 6 19 7 | 4 13 5 | 8 39 2 |
|-------------------+-------------------+-------------------|
| 5 8 49 | 1 2 3 | 49 7 6 |
| 34 139 6 | 79 5 479 | 2 8 149 |
| 7 2 149 | 6 8 49 | 149 5 3 |
*-----------------------------------------------------------*
(4=3)r2c1-(3=1)r2c2-(1)r8c2=(1)r8c9-(1=4)r3c9
=> r2c78,r3c3<>4
singles
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Jan 25, 2010 1:13 pm Post subject: |
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I had three moves, all on 1.
Flightless xy-wing -149 with vertex in r2c8 and a pincer transport,
skyscraper 1 in r8c29,
another flightless xy-wing -145 with vertex in r3c3 and pincer transport.
+++++++++++
Dan, very nice move.......
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Mon Jan 25, 2010 5:16 pm Post subject: |
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| Code: | After 3x 2-String Kite {1,4,9}:
(*) c37r9 Skyscraper in <1> (four cells) => r1c3=1 or r3c7=1
(5) r1c3 - r3c3 = r3c7 (three cells) => no cell for <1>
thus, r1c3<>5
+-----------------------------------------------------+
| 9 6 *15a | 57 4 17 | 3 2 8 |
| 34 13 2 | 58 6 18 | 59 49 7 |
| 8 7 45b | 3 9 2 | *145c 6 14 |
|-----------------+-----------------+-----------------|
| 1 5 8 | 2 3 6 | 7 49 49 |
| 2 4 3 | 89 7 89 | 6 1 5 |
| 6 9 7 | 4 1 5 | 8 3 2 |
|-----------------+-----------------+-----------------|
| 5 8 49 | 1 2 3 | 49 7 6 |
| 34 13 6 | 79 5 479 | 2 8 149 |
| 7 2 *149 | 6 8 49 | *149 5 3 |
+-----------------------------------------------------+
# 31 eliminations remain
As a two-digit discontinuous loop:
(1=5)r1c3 - r3c3 = (5-1)r3c7 = r9c7 - r9c3 = (1)r1c3 => r1c3=1
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Mon Jan 25, 2010 8:46 pm Post subject: |
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| daj95376 wrote: | (5) r1c3 - r3c3 = r3c7 (three cells) => no cell for <1>
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NICE!  |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon Jan 25, 2010 10:04 pm Post subject: |
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Danny,
In your grid there is an XY-wing 59-58-89. Extending the 59 pincer by grouped coloring to R8C9 eliminates 9 in R8C4.
(Which is how I originally solved it.)
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Tue Jan 26, 2010 12:53 am Post subject: |
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| keith wrote: | Danny,
In your grid there is an XY-wing 59-58-89. Extending the 59 pincer by grouped coloring to R8C9 eliminates 9 in R8C4.
(Which is how I originally solved it.)
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Hello Keith,
I normally check the puzzles posted in this group, but I try to only post unusual solutions that catch my eye ... or answer questions that may be raised. That way, I'm hoping not to interfere with the well-earned solutions like you and others post.
Regards, Danny
FWIW: There's a <15> gM-Wing present in the first four cells of my chain. |
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strmckr
Joined: 18 Aug 2009
Posts: 66
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| Posted: Tue Jan 26, 2010 6:17 am Post subject: |
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i did singles a box line reduction and naked pair
bringing it to here:
| Code: | .--------------.-------------.----------------.
| 19 6 159 | 57 4 17 | 3 2 8 |
| 34@ 13@ 2 | 58 6 18 |-1459 -49 7 |
| 8 7 -145 | 3 9 2 | 145 6 14@ |
:--------------+-------------+----------------:
| 19 5 8 | 2 13 6 | 7 349 49 |
| 2 4 3 | 89 7 89 | 6 1 5 |
| 6 19 7 | 4 13 5 | 8 39 2 |
:--------------+-------------+----------------:
| 5 8 49 | 1 2 3 | 49 7 6 |
| 34 139@ 6 | 79 5 479 | 2 8 149@|
| 7 2 149 | 6 8 49 | 149 5 3 |
'--------------'-------------'----------------' |
then used a hybrid wing. (better viewed as aic)
AIC 4- r2c1 -3- r2c2 -1- r8c2 =1= r8c9 -1- r3c9 -4 => r2c78,r3c3<>4
and its all singles from here out.. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Jan 26, 2010 8:52 am Post subject: |
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| strmckr wrote: | i did singles a box line reduction and naked pair
bringing it to here:
| Code: | .--------------.-------------.----------------.
| 19 6 159 | 57 4 17 | 3 2 8 |
| 34@ 13@ 2 | 58 6 18 |-1459 -49 7 |
| 8 7 -145 | 3 9 2 | 145 6 14@ |
:--------------+-------------+----------------:
| 19 5 8 | 2 13 6 | 7 349 49 |
| 2 4 3 | 89 7 89 | 6 1 5 |
| 6 19 7 | 4 13 5 | 8 39 2 |
:--------------+-------------+----------------:
| 5 8 49 | 1 2 3 | 49 7 6 |
| 34 139@ 6 | 79 5 479 | 2 8 149@|
| 7 2 149 | 6 8 49 | 149 5 3 |
'--------------'-------------'----------------' |
then used a hybrid wing. (better viewed as aic)
AIC 4- r2c1 -3- r2c2 -1- r8c2 =1= r8c9 -1- r3c9 -4 => r2c78,r3c3<>4
and its all singles from here out.. |
interesting...
I was calling this a mixed w-wing.
strong link on 1's in row 8 join the (14) cell in r3c9 and the (13) cell in r2c2,
much like how a w-wing joins two bi-value cells, except obviously these cells aren't identical. so you would need one more link to provide the pincer 4 in this case.
(4=3)r2c1 - (3=1)r2c2 - (1)r8c2 = (1)r8c9 - (1=4)r3c9
so the part in red would be the "hybrid" w-wing |
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strmckr
Joined: 18 Aug 2009
Posts: 66
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| Posted: Tue Jan 26, 2010 8:59 am Post subject: |
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i was using udosuk's examples of a hybrid wing.
im not 100% sure what to call it if anything.
it kinda fits, but? (...type 6 fits better...)
its a funky move that works pretty good either way  |
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