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ravel
Joined: 21 Apr 2006
Posts: 536
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 Posted: Wed Oct 15, 2008 11:06 am Post subject: Another VH+ from game 0054 |
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| Code: | +-------+-------+-------+
| . . 8 | . 9 . | 5 . . |
| . 5 . | . 8 . | . 3 . |
| 3 . . | 4 . 5 | . . 1 |
+-------+-------+-------+
| . . 3 | . . . | 7 . . |
| 7 9 . | . . . | . 6 8 |
| . . 6 | . . . | 3 . . |
+-------+-------+-------+
| 9 . . | 2 . 6 | . . 4 |
| . 2 . | . 4 . | . 5 . |
| . . 4 | . 7 . | 2 . . |
+-------+-------+-------+ gsf
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>>> play online
Similar to the one, Norm had posted (also SE 6.8). I needed many techniques.
Hint for the start: Two moves for 5 to get the first number |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Oct 15, 2008 11:42 am Post subject: |
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The two first steps (kite col 3, row 9) and x-wing (rows 5 and 7) seem to be mandatory. Then things start moving and quite a few cells can be solved using basic techniques. For those who wish to avoid the dirty groundwork, this is the position where basics once again will not suffice:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 124 6 8 | 17 9 3 | 5 24 27 |
| 124 5 129 | 167 8 127 | 469 3 2679 |
| 3 7 29 | 4 26 5 | 689 289 1 |
+--------------------------+--------------------------+--------------------------+
| 1258 148 3 | 689 126 2489 | 7 1249 259 |
| 7 9 12 | 3 5 24 | 14 6 8 |
| 1258 148 6 | 789 12 24789 | 3 1249 259 |
+--------------------------+--------------------------+--------------------------+
| 9 18 5 | 2 3 6 | 18 7 4 |
| 168 2 7 | 189 4 189 | 1689 5 3 |
| 168 3 4 | 5 7 189 | 2 189 69 |
+--------------------------+--------------------------+--------------------------+
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play online
Coloring on 1 and later on 2 proves rather effective.
Here,
| Code: |
+--------------------------+--------------------------+--------------------------+
| 24 6 8 | 1 9 3 | 5 24 7 |
| 124# 5 12*a | 6 8 7 | 49# 3 29 |
| 3 7 9 | 4 2 5 | 6 8 1 |
+--------------------------+--------------------------+--------------------------+
| 125*b 48 3 | 89 6 2489 | 7 -1249 259 |
| 7 9 -12 | 3 5 24 | 14* 6 8 |
| 25 48 6 | 7 1 2489 | 3 249 259 |
+--------------------------+--------------------------+--------------------------+
| 9 1 5 | 2 3 6 | 8 7 4 |
| 6 2 7 | 89 4 189 | 19 5 3 |
| 8 3 4 | 5 7 19 | 2 19 6 |
+--------------------------+--------------------------+--------------------------+
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there are two URs ( 49 and 48 ), both with strong links, that means r4c6 is neither 4 nor 9,
and two overlapping (generalized) m-wings via that sl (4) in row 2:
a: (1)r3c2=r5c7;r5c3<>1
b: (1)r4c1=r5c7;r4c8<>1
That was it ...
The "advanced" part at the end seemed much easier than the beginning. I couldn't believe there was not even a single "usual" elimination at the beginning.
___
edit 1418 GMT+2: in my last grid, there is also a useless w-wing (2)r1c8=r5c6 (via col 7) which can be transported via row 5 and col 3 to give:
(2)r1c8=r2c3;r1c1<>2.
This also solves the puzzle. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Wed Oct 15, 2008 2:03 pm Post subject: |
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Well, I completed the puzzle with eleven (Yes, 11) moves. As already noted, getting started was a real challenge but overall it was great fun. I keep expecting the next step to finish the puzzle off but it just never happened.
My sequence was to long to provide details, but it included the kite and x-wing on <5> to get started, then an ER <2>, a skyscraper <1>, multi-coloring <1>, ER <9>, UR <48>, UR <89>, xyz-wing<124>, a diagonal UR <25> and finally either a BUG+1 or xy-wing <124>.
I DO NOT plan determine what moves were really unnecessary!
Ted  |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Oct 15, 2008 3:48 pm Post subject: |
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| nataraj wrote: | | The two first steps (kite col 3, row 9) and x-wing (rows 5 and 7) seem to be mandatory. |
Recently, Myth Jellies demonstrated the finned X-Wing. It can be used here to get the X-Wing eliminations w/o having to perform the elimination [r5c4]<>5 (which occurs later during a series of Single assignments).
| Code: | +-----------------------------------+
| . . . | . . . | 5 . . |
| . 5 . | . . . | . . . |
| . . . | . . 5 | . . . |
|-----------+-----------+-----------|
| 5 . . | 5 -5 . | . . 5 |
| . . *5 | #5 *5 . | . . . |
| 5 . . | 5 -5 . | . . 5 |
|-----------+-----------+-----------|
| . . *5 | . *5 . | . . . |
| . . . | . . . | . 5 . |
| 5 . . | 5 . . | . . . |
+-----------------------------------+
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Any time I realize that a Kite/Skyscraper/Empty Rectangle elimination is followed by an X-Wing/Swordfish/Jellyfish for the same digit, then I check to see if a finned/sd-Kraken fish originally existed. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Oct 15, 2008 4:47 pm Post subject: |
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Later:
| Code: | +-----------------------------------------------------------------------------+
| 124 6 8 | 17 9 3 | 5 24 27 |
| 124 5 12 | 6 8 17 | 49 3 279 |
| 3 7 9 | 4 2 5 | 6 8 1 |
|-------------------------+-------------------------+-------------------------|
| 125 48 3 | 89 6 2489 | 7 1249 259 |
| 7 9 12 | 3 5 24 | 14 6 8 |
| 25 48 6 | 789 1 24789 | 3 249 259 |
|-------------------------+-------------------------+-------------------------|
| 9 1 5 | 2 3 6 | 8 7 4 |
| 6 2 7 | 189 4 189 | 19 5 3 |
| 8 3 4 | 5 7 19 | 2 19 6 |
+-----------------------------------------------------------------------------+
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A Skyscraper pattern is also a Sashimi X-Wing pattern. The Sashimi Swordfish pattern often has a Skyscraper-type companion pattern. Think of the following as a ragged Skyscraper c34 with a strong link in c7 binding the ragged base cells.
| Code: | Sashimi Swordfish c347\r157 => [r1c1]<>1 and
Sashimi Swordfish c347\r257 => [r2c5]<>1
+-----------------------------------+
| -1 . . | *1# . . | . . . |
| 1 . *1# | . . -1 | . . . |
| . . . | . . . | . . 1 |
|-----------+-----------+-----------|
| 1 . . | . . . | . 1 . |
| . . *1 | . . . | *1 . . |
| . . . | . 1 . | . . . |
|-----------+-----------+-----------|
| . 1 . | . . . | . . . |
| . . . | *1 . 1 | *1 . . |
| . . . | . . 1 | . 1 . |
+-----------------------------------+
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Personally, I like to look at this pattern as: either [r1c4]=1 or [r1c1],[r2c6],[c8c4]=1. A quick brute-force check confirms that the latter case isn't true. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Oct 15, 2008 5:43 pm Post subject: |
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| daj95376 wrote: |
Any time I realize that a Kite/Skyscraper/Empty Rectangle elimination is followed by an X-Wing/Swordfish/Jellyfish for the same digit, then I check to see if a finned/sd-Kraken fish originally existed. |
Seriously: How is a "finned/sd-Kraken fish" better than a kite plus an x-wing?
____________
Not quite so seriously (  ) but not quite off-topic either:
Dihydrogen monoxide:
* is called "hydroxyl acid", the substance is the major component of acid rain.
* contributes to the "greenhouse effect".
* may cause severe burns.
* contributes to the erosion of our natural landscape.
* accelerates corrosion and rusting of many metals.
* may cause electrical failures and decreased effectiveness of automobile brakes.
* has been found in excised tumors of terminal cancer patients.
Despite the danger, dihydrogen monoxide is often used:
* as an industrial solvent and coolant.
* in nuclear power plants.
* in the production of styrofoam.
* as a fire retardant.
* in many forms of cruel animal research.
* in the distribution of pesticides. Even after washing, produce remains contaminated by this chemical.
* as an additive in certain "junk-foods" and other food products.
Source: Wikipedia
____
edit Oct.16: if you follow the Wikipedia link it becomes clear that dihydrogen monoxide is a purposefully dangerous-sounding name for: WATER
Last edited by nataraj on Thu Oct 16, 2008 6:18 am; edited 1 time in total |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Oct 15, 2008 6:24 pm Post subject: |
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| tlanglet wrote: | My sequence ... included the kite and x-wing on <5> to get started, then an ER <2>, a skyscraper <1>, multi-coloring <1>, ER <9>, UR <48>, UR <89>, xyz-wing<124>, a diagonal UR <25> and finally either a BUG+1 or xy-wing <124>.
I DO NOT plan determine what moves were really unnecessary!
Ted |
Ah, Ted, I think we travelled the same path !
Except that after ... skyscraper <1>, multi-coloring <1> and before reaching <9> in my search for patterns based on strong links I hit on that strong link (4) that enabled the m-wing and/or w-wing solution.
Sometimes the candidate that provides the solution is the last one I checked. This time, I was more lucky |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Oct 15, 2008 9:12 pm Post subject: |
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Foregoing M-Wings and W-Wings, very close to Ted:
| Code: | finned X-Wing <> 5 [r46c5]
Skyscraper/ Sashimi X-Wing <> 1 [r46c2]
Skyscraper/2x Sashimi X-Wing <> 2 [r46c5],[r2c6]
2x Sashimi Swordfish <> 1 [r1c1],[r2c6]
Kite/ER/finned X-Wing <> 9 [r4c8]
XYZ-Wing [r4c8]/[r1c8]+[r5c7] <> 4 [r6c8]
UR Type 1 [r46c26] <> 48 [r4c6]
UR Type 6 [r46c19] <> 5 [r4c1],[r6c9]
XY-Wing [r4c1]/[r1c1]+[r4c8] <> 4 [r1c8]
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Wed Oct 15, 2008 10:10 pm Post subject: |
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| Quote: | | Not quite so seriously ( ) but not quite off-topic either: |
I think the fact that two elements so inherent on our survival that can also be combined to take away our survival, is downright awe inspiring. |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Thu Oct 16, 2008 11:01 am Post subject: |
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nataraj,
You can get a little more mileage out of that 48 UR by using the induced 2=9 strong link in a short XY Chain:
UR[(9=2)r46c6] - (2=4)r5c6 - (4=1)r5c7 - (1=9)r8c7; r8c6<>9
After this, 2 <9>s are eliminated in b6 via dihydrogen monoxide  . Then, a Skyscraper on 2 finishes things.
By the way, I believe you meant the 89 UR (not a 49 UR).
daj,
I saw the <1>s as a Finned Swordfish (no sashimi) in c367 to remove <1> from r8c4. It has the same end result. Lots of ways to skin that <1> cat! |
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