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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Wed Jul 02, 2008 4:33 am Post subject: July 2 VH |
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(Subject edited for correct date - keith)
This was definitely a change of pace from the last one. My solution was:
1) Five ERs
2) M-Wing with pincer extension
3) XY-Wing Chain (some call it an extended XY-Wing) with pincer coloring
Maybe there was one X-Wing which could have killed it off, but I don't look for them except as a last resort. |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Wed Jul 02, 2008 8:49 am Post subject: |
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I believe you mean "July 2".
I try to stick with the 3 VH techniques on these... to make it a challenge. I used 2 X-Wings then an XY Wing. |
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cgordon
Joined: 04 May 2007 Posts: 769 Location: ontario, canada
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Posted: Wed Jul 02, 2008 12:08 pm Post subject: |
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Something must be wrong when I come up with the least number of solutions.
But anyway: I found a very destructive x-wing on<6> that left an xy-wing on <146>. |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Wed Jul 02, 2008 12:18 pm Post subject: |
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For me it was also the x-wing on <6> that opened the xy-wing on <146>.
Ted |
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George Woods
Joined: 28 Mar 2006 Posts: 304 Location: Dorset UK
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Posted: Wed Jul 02, 2008 12:19 pm Post subject: Another maverik solution |
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Code: |
+---------------+-----------------+--------------+
| 25 6 4 | 9 15 3 | 7 125 8 |
| 7 1 58 | 2 4 568 | 9 56 3 |
| 3 9 258 | 7 1568 1568 | 146 12456 46 |
+---------------+-----------------+--------------+
| 8 3 16 | 14 2 7 | 5 46 9 |
| 146 5 9 | 1348 1368 1468 | 2 7 46 |
| 246 24 7 | 45 9 456 | 3 8 1 |
+---------------+-----------------+--------------+
| 9 48 1568 | 13458 1358 2 | 146 146 7 |
| 1246 248 1268 | 148 7 9 | 146 3 5 |
| 145 7 3 | 6 15 145 | 8 9 2 |
+---------------+-----------------+--------------+
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Play this puzzle online at the Daily Sudoku site
On this position (straight from draw play without simplification of some of the pencil marks) I became besotted by the 1 4 and 6 in row 4, and row 5 of boxes 4 and 6. Surely there must be a wing of some sort here. NO! couldn't find it BUT it became apparent that whatever the position of the 6 in box 6, the only position left for 6 in box 5 is r6c6.
So no wing was found but the solution came from 2 "almost wings"interacting!! or is this a fanciful conclusion? |
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Wed Jul 02, 2008 5:33 pm Post subject: |
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Yellow is the color of my true love's hair...
And 6 is the number. Plus the xy-wing afterwards.
There is also a jellyfish (a rare species: 5 in rows 2,3,6,7 is confined to columns 3,4,6,8 ) that removes 5 from r9c6 and r1c8. That does not solve the puzzle, unfortunately. But 5 comes before 6 and today I checked them in sequence 1,2,3 ...
Code: |
+--------------------------+--------------------------+--------------------------+
| 25 6 4 | 9 15 3 | 7 125 8 |
| 7 1 58 | 2 4 568 | 9 56 3 |
| 3 9 258 | 7 68 1568 | 146 12456 46 |
+--------------------------+--------------------------+--------------------------+
| 8 3 16 | 14 2 7 | 5 46 9 |
| 146 5 9 | 1348 368 1468 | 2 7 46 |
| 246 24 7 | 45 9 456 | 3 8 1 |
+--------------------------+--------------------------+--------------------------+
| 9 48 156 | 13458 38 2 | 146 146 7 |
| 1246 248 126 | 148 7 9 | 146 3 5 |
| 145 7 3 | 6 15 145 | 8 9 2 |
+--------------------------+--------------------------+--------------------------+
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Wed Jul 02, 2008 5:48 pm Post subject: |
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Quote: | Yellow is the color of my true love's hair... |
In my house it changes at unpredictable intervals. |
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Clement
Joined: 24 Apr 2006 Posts: 1111 Location: Dar es Salaam Tanzania
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Posted: Wed Jul 02, 2008 6:39 pm Post subject: Daily Sudoku: Wed 2 Jul-2008 VH |
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I dont know whether I have grasped the BUG principle. This time again it solved the puzzle quite easily. This how it goes: 5 appears THREE TIMES in row 2 {58, 568, 56} and resides in a three candidate cell r2c6(568), the other undecided cells r2c3 & r2c8 have TWO candidates. Accordingly 5 goes in r2c6 solving the puzzle. Is that true? How can this be explained/proved? |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Wed Jul 02, 2008 6:50 pm Post subject: |
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using the draw play, I found the x-wing on 5 first, probably didn't have all the basics done to that point. but it took a while to see all the eliminations from the 6 x-wing. |
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wapati
Joined: 10 Jun 2008 Posts: 472 Location: Brampton, Ontario, Canada.
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Posted: Wed Jul 02, 2008 7:32 pm Post subject: Re: Daily Sudoku: Wed 2 Jul-2008 VH |
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Clement wrote: | I dont know whether I have grasped the BUG principle. This time again it solved the puzzle quite easily. This how it goes: 5 appears THREE TIMES in row 2 {58, 568, 56} and resides in a three candidate cell r2c6(568), the other undecided cells r2c3 & r2c8 have TWO candidates. Accordingly 5 goes in r2c6 solving the puzzle. Is that true? How can this be explained/proved? |
This is not a BUG+1 because there are many cells left with 3 or more candidates. You don't get to use it just because a row or column has only one triple candidate cell. Sorry! |
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Wed Jul 02, 2008 8:25 pm Post subject: Re: Daily Sudoku: Wed 2 Jul-2008 VH |
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Clement wrote: | I dont know whether I have grasped the BUG principle. This time again it solved the puzzle quite easily. This how it goes: 5 appears THREE TIMES in row 2 {58, 568, 56} and resides in a three candidate cell r2c6(568), the other undecided cells r2c3 & r2c8 have TWO candidates. Accordingly 5 goes in r2c6 solving the puzzle. Is that true? How can this be explained/proved? |
It cannot.
In row one, there are three cells with candidate "5". Two of them have two candidates, only r1c8 has three candidates. But it is not "5" that solves cell r1c8, it is "1".
Quote: | This time again it solved the puzzle quite easily |
"Luck"?
You have NOT grasped the BUG priciple. You will if you read up on it ...
http://www.sudopedia.org/wiki/BUG |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Wed Jul 02, 2008 10:15 pm Post subject: |
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George Woods wrote: | On this position (straight from draw play without simplification of some of the pencil marks) I became besotted by the 1 4 and 6 in row 4, and row 5 of boxes 4 and 6. Surely there must be a wing of some sort here. NO! couldn't find it BUT it became apparent that whatever the position of the 6 in box 6, the only position left for 6 in box 5 is r6c6. |
There is a way to see this. But first, your description doesn't work for me. The <6> at r6c6 can "see" the <6> at r4c8 via the ERs in boxes 2 and 3. So, it cannot be true if r4c8 is true.
However, if you consider the otherwise useless XYZ-Wing at r4c3|r5c19, one of those 3 cells must be <6>. The two in b4 can be transported to r6c6, as can the one in r5c9. Thus, r6c6 must be <6> due to the XYZ-Wing. |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Wed Jul 02, 2008 10:26 pm Post subject: |
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nataraj,
Regarding Jellyfish, they really aren't all that rare. It's just that we usually notice the smaller complementary fish instead. As Myth Jellies has pointed out, your basic fish are constraint sets. And, they always occur in complementary groups of two or more. You might have a Swordfish and a Jellyfish together, or a Swordfish and two X-Wings, for instance. What is rare is two complementary Jellyfish (or a Jellyfish and a "5-Fish").
In this puzzle, I noticed the complementary X-Wing in c15 rather than the Jellyfish. And, like you I started with the lower numbers in sequence so found the (apparently unneeded) 5 X-Wing before the more useful 6 X-Wing. |
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nataraj
Joined: 03 Aug 2007 Posts: 1048 Location: near Vienna, Austria
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Posted: Thu Jul 03, 2008 6:42 am Post subject: |
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Thanks, Asellus, for the explanation.
Funny I should have seen that complex jellyfish and not seen the simple x-wing. Must have looked at the grid cross-eyed. I'll close one eye from now on to safeguard against such lapses |
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George Woods
Joined: 28 Mar 2006 Posts: 304 Location: Dorset UK
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Posted: Sat Jul 05, 2008 5:54 pm Post subject: |
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Asellus wrote: | George Woods wrote: | On this position (straight from draw play without simplification of some of the pencil marks) I became besotted by the 1 4 and 6 in row 4, and row 5 of boxes 4 and 6. Surely there must be a wing of some sort here. NO! couldn't find it BUT it became apparent that whatever the position of the 6 in box 6, the only position left for 6 in box 5 is r6c6. |
There is a way to see this. But first, your description doesn't work for me. The <6> at r6c6 can "see" the <6> at r4c8 via the ERs in boxes 2 and 3. So, it cannot be true if r4c8 is true.
However, if you consider the otherwise useless XYZ-Wing at r4c3|r5c19, one of those 3 cells must be <6>. The two in b4 can be transported to r6c6, as can the one in r5c9. Thus, r6c6 must be <6> due to the XYZ-Wing. |
"My description didn't work for you!. " Whichever 6 is chosen in box 6 solves the whole of row 5 and row 6 of box 4, and both possibilities put a 6 on both rows 4 and 5 (rather like an X wing) So the 6 in box 5 falls out as does the puzzle! |
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