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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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 Posted: Wed Nov 19, 2008 6:38 pm Post subject: |
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| cgordon wrote: | After basics I just went to the centre cell and made it a <1>. All singles after that. Well I finished it didn't I !!  |
LOL 
The "Method of the Champions"
(quote: But he has a secret weapon: “Don’t forget to guess. Half the time you’ll be right.”)
can't say I blame ya.
_________
"There are methods of converting heathens that make me question the Faith"
BTW. Most efficient way to solve the Vanhegan puzzles, even faster than the Method of Champions:
(edited to include result of clicking on the icon)
(and... edited to include the hyperlink to Times Online)
(and ... because I forgot, edited to include this "edited" message)
Last edited by nataraj on Wed Nov 19, 2008 9:54 pm; edited 3 times in total |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Nov 19, 2008 8:07 pm Post subject: |
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| cgordon wrote: | | After basics I just went to the centre cell and made it a <1>. All singles after that. Well I finished it didn't I !! |
I like your approach. Starting with the initial PM, mine was:
1) X-Wing in (7) w/ bivalue cell [r7c6]=79
2) Setting [r7c6]=9 results in a whole bunch of Naked Singles that lead to a contradiction.
3) Setting [r7c6]=7 leads to a solution that didn't need networks. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Wed Nov 19, 2008 8:47 pm Post subject: |
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And thus the native hue of resolution
Is sicklied o'er with the pale cast of thought,
And enterprises of great xx and moment
With this regard their currents turn awry,
And lose the name of action.
To solve? or Not to Solve?
That is the question.
Whether 'tis nobler in the mind to suffer
The slings and arrows of outrageous methods,
Or to take arms against a sea of troubles,
And by opposing, end them.
_____
I made my choice, last night.
I went to sleep.
(and by a sleep to say we end
The heart-ache and the thousand natural shocks
that forums bring to man's life ...) |
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ravel
Joined: 21 Apr 2006
Posts: 536
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| Posted: Wed Nov 19, 2008 9:45 pm Post subject: |
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| Great, natatraj, lol |
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Kdelle
Joined: 20 Mar 2008
Posts: 59
Location: Hudson, NH
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| Posted: Wed Nov 19, 2008 10:30 pm Post subject: |
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| Marty R. wrote: | | Quote: | | An empty rectangle in box 9 kills the 9 in r9c2. A transported xyz-wing with pivot r9c3 then eliminates 8 from r5c5. This cracks the puzzle. |
I can't see a transport. |
I couldn't at first either. But after the 9 is removed from r9c2, any of the possibilities for r9c3 eliminates the 8 in r5c5. I had trouble seeing that if r9c3=5, the 8 in r6c3 and r9c2 force an 8 in r4c6. I'm not sure I really understand the terminology, but I do see the elimination!
This was quite the challenge, though. And I'm very grateful for all the help!!!
Kathy |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Nov 19, 2008 11:21 pm Post subject: |
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| Code: | +-----------------------+
| . . . | . 7 . | . . . |
| . . 1 | 8 . 6 | 3 . . |
| . 7 6 | . . 1 | 4 2 . |
|-------+-------+-------|
| . 4 7 | . 5 . | . 3 . |
| 3 . . | 7 . 2 | . . 4 |
| . 1 . | . 4 . | 9 7 . |
|-------+-------+-------|
| . 3 4 | 2 . . | 6 8 . |
| . . 2 | 4 . 5 | 7 . . |
| . . . | . 6 . | . . . |
+-----------------------+
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FWIW:
| Code: | 1) finned Franken Swordfish: [r5c2]<>5
2) chain: [r4c4]<>9
3) chain: [r7c9]<>1
4) kite: [r9c6]<>9
5) chain: [r9c1]<>9
6) chain: [r9c1]<>5
7) SIN: [r5c5]<>8
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Wed Nov 19, 2008 11:58 pm Post subject: |
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Nataraj has Shakespeare – I have limericks.
A Sudoku elite from Nantucket,
Said, before I would guess - I would chuck it
But then he thought why
Should I give up and die
So let’s guess and ..................
Can't figure a last line
Last edited by cgordon on Thu Nov 20, 2008 1:55 am; edited 1 time in total |
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re'born
Joined: 28 Oct 2007
Posts: 80
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| Posted: Thu Nov 20, 2008 1:19 am Post subject: |
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| Kdelle wrote: | | Marty R. wrote: | | Quote: | | An empty rectangle in box 9 kills the 9 in r9c2. A transported xyz-wing with pivot r9c3 then eliminates 8 from r5c5. This cracks the puzzle. |
I can't see a transport. |
I couldn't at first either. But after the 9 is removed from r9c2, any of the possibilities for r9c3 eliminates the 8 in r5c5. I had trouble seeing that if r9c3=5, the 8 in r6c3 and r9c2 force an 8 in r4c6. I'm not sure I really understand the terminology, but I do see the elimination!
This was quite the challenge, though. And I'm very grateful for all the help!!!
Kathy |
Allow me to embellish my statement a little.
| Code: |
*-----------------------------------------------------------*
| 589 2 3 | 59 7 4 | 158 1569 1689 |
| 4 59 1 | 8 2 6 | 3 59 7 |
| 589 7 6 | 59 3 1 | 4 2 89 |
|-------------------+-------------------+-------------------|
| 269 4 7 | 16 5 89 | 128 3 1268 |
| 3 689 89C | 7 19-8 2 | 158 156 4 |
| 256 1 58 | 36 4 38 | 9 7 268 |
|-------------------+-------------------+-------------------|
| 179 3 4 | 2 19 79 | 6 8 5 |
| 169 689 2 | 4 189Y 5 | 7 19 3 |
| 17 58A 589B | 13 6 378X | 12 4 129 |
*-----------------------------------------------------------*
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After the empty rectangle eliminates 9 from r9c2, you get the above grid and the seemingly useless xyz-wing on 8 marked ABC. Both A and B are weakly linked to (8)r9c6=X which is strongly linked to (8)r8c5=Y. So, transporting A and B to Y, we get a strong link C = Y, allowing us to conclude r5c5<>8.
Pictorially, we have:
| Code: |
A - X = Y
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B - X = Y
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C
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Nov 20, 2008 1:22 am Post subject: |
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| Quote: | | I couldn't at first either. But after the 9 is removed from r9c2, any of the possibilities for r9c3 eliminates the 8 in r5c5. I had trouble seeing that if r9c3=5, the 8 in r6c3 and r9c2 force an 8 in r4c6. I'm not sure I really understand the terminology, but I do see the elimination! |
Kathy, thanks, I see how that would do the job. But I still don't see it in the way it was originally described, as an XYZ transport. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Thu Nov 20, 2008 2:20 am Post subject: |
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| Quote: | | After the empty rectangle eliminates 9 from r9c2, you get the above grid and the seemingly useless xyz-wing on 8 marked ABC. Both A and B are weakly linked to (8)r9c6=X which is strongly linked to (8)r8c5=Y. So, transporting A and B to Y, we get a strong link C = Y, allowing us to conclude r5c5<>8. |
is this the same thing?
(8=9)r5c3 - (9)r9c3 = np(58)r9c23 - (8)r9c6 = (8)r8c5; r5c5 <> 8 |
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re'born
Joined: 28 Oct 2007
Posts: 80
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| Posted: Thu Nov 20, 2008 2:23 am Post subject: |
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| storm_norm wrote: | | Quote: | | After the empty rectangle eliminates 9 from r9c2, you get the above grid and the seemingly useless xyz-wing on 8 marked ABC. Both A and B are weakly linked to (8)r9c6=X which is strongly linked to (8)r8c5=Y. So, transporting A and B to Y, we get a strong link C = Y, allowing us to conclude r5c5<>8. |
is this the same thing?
(8=9)r5c3 - (9)r9c3 = np(58)r9c23 - (8)r9c6 = (8)r8c5; r5c5 <> 8 |
I believe so, yes. |
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ravel
Joined: 21 Apr 2006
Posts: 536
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| Posted: Thu Nov 20, 2008 11:23 am Post subject: |
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| Marty R. wrote: | | But I still don't see it in the way it was originally described, as an XYZ transport. |
re'born already answered it.
All pincers transport to r8c5.
r5c3=8 => r5c5<>8 => r8c5=8
(This transport is enough to eliminate 8 from r8c2)
r9c23=8 => r9c6<>8 => r8c5=8 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Thu Nov 20, 2008 5:31 pm Post subject: |
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| Quote: | | re'born already answered it. |
Thanks to both of you. I didn't see re'born's answer. We were posting at the same time. |
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