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kathyjc
Joined: 03 Sep 2006 Posts: 2 Location: Trinidad, WI
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Posted: Sun Sep 03, 2006 11:20 am Post subject: 3 Sep - V hard |
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Hi,
Just need some help with the logic for this puzzle. This is where I have reached.
5 9 8 | 2 6 4 | 7 1 3
7 6 4 | * * 1 | 9 * *
2 3 1 | * * 7 | 6 8 4
9 * * | 1 * * | 4 7 *
3 1 * | * * * | * 9 8
* 4 7 | * * 9 | 3 * 1
1 2 * | * * * | * 3 7
* * 9 | * * * | 1 4 *
4 7 3 | * 1 5 | * * 9
The hint feature places a 2 in the 4th row, 3rd col... but I am not sure why. And even when I take that hint I do not get much further before being stuck again. Any assistance with the logic would be appreciated. |
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TKiel
Joined: 22 Feb 2006 Posts: 292 Location: Kalamazoo, MI
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Posted: Sun Sep 03, 2006 12:29 pm Post subject: |
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Kathjc,
Here is the grid with pencilmarks:
Code: |
*-----------------------------------------------------------*
| 5 9 8 | 2 6 4 | 7 1 3 |
| 7 6 4 | 358 358 1 | 9 25 25 |
| 2 3 1 | 59 59 7 | 6 8 4 |
|-------------------+-------------------+-------------------|
| 9 58 256 | 1 2358 2368 | 4 7 256 |
| 3 1 256 | 4567 2457 26 | 25 9 8 |
| 68 4 7 | 568 258 9 | 3 256 1 |
|-------------------+-------------------+-------------------|
| 1 2 56 | 4689 489 68 | 58 3 7 |
| 68 58 9 | 3678 2378 2368 | 1 4 256 |
| 4 7 3 | 68 1 5 | 28 26 9 |
*-----------------------------------------------------------*
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Row 5 has a naked triple that eliminates the 5's from the rest of that row (r5c45). This makes an X-wing that excludes the 5 from r4c3.
Box 8 (lower middle) has a naked pair that eliminates all 6's from other cells in that box, which creates an X-wing that eliminates 6 from r4c3. That leaves 2 as the only candidate in that cell.
Last edited by TKiel on Sun Sep 03, 2006 12:33 pm; edited 2 times in total |
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David
Joined: 02 Jun 2006 Posts: 58 Location: Bedford, UK
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Posted: Sun Sep 03, 2006 12:32 pm Post subject: |
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Hi Kathy
I think you will find the key to this puzzle is an 'X-wing' on 6's.
If you look at column4 there are only two cells which can hold a 6 (row6,9). Similarly on column8 there are only two cells for a 6 (rows 6,9) again. So you can eliminate the 6 from c1r6 (making it an 8) and the whole puzzle collapses from here |
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gigi
Joined: 04 Jun 2006 Posts: 5 Location: Central Texas
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Posted: Sun Sep 03, 2006 7:00 pm Post subject: |
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I know there are many ways to solve the puzzle, but I was able to solve it without any of the advanced techniques (x-wings, etc). I didn't even have put in pencil marks until almost the end... and I'm a pencil mark user all of the time. I'm not sure why this was classified as a very hard??? Oh well... have a great long weekend, if you are lucky enough to be off!...
Laterz... gigi |
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David Bryant
Joined: 29 Jul 2005 Posts: 559 Location: Denver, Colorado
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Posted: Sun Sep 03, 2006 11:17 pm Post subject: How? |
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gigi wrote: | ... I was able to solve it without any of the advanced techniques ... |
I'd be very interested to learn how you did that, gigi. Can you explain it for us?
I got through the puzzle without making any pencil marks. I didn't use the X-Wings, either. But I did have to resort to a couple of double-implication chains, and I'd like to learn which simpler moves I overlooked. dcb |
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Bill Denholm
Joined: 24 Mar 2006 Posts: 17 Location: Mountain View, California
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Posted: Mon Sep 04, 2006 2:25 am Post subject: |
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I usually use the traditional techniques, too, but I couldn't have solved this puzzle withoout the X-Wings.
Bill |
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kathyjc
Joined: 03 Sep 2006 Posts: 2 Location: Trinidad, WI
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Posted: Mon Sep 04, 2006 11:50 am Post subject: |
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Thanks for the help. The "X-wings" clue helped a lot. I never looked for that before. |
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