"very hard"

Advanced methods and approaches for solving Sudoku puzzles

"very hard"

Postby Aiesh » Sun Jul 24, 2005 4:24 pm

Again a question about the very hard ones... I can solve a hard sudoku, but i get stuck in each very hard sudoku:(
I guess I need a technique or something...
Here's an example of a sudoku in which I am stuck, what do I miss?
Image
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Postby Aiesh » Sun Jul 24, 2005 4:56 pm

Sorry, I didn't totally understand the X-wing, now I do, I guess that was my problem:D
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Postby Karyobin » Sun Jul 24, 2005 6:04 pm

I've been there too. Nice trick innit? (When you spot 'em amongst all the mess, that is.)
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Postby Aiesh » Sun Jul 24, 2005 8:25 pm

True:D
I only know sudoku since yesterday, so still a long way to go I guess:D
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Postby blackadder » Sun Jul 24, 2005 9:04 pm

Check the x-wing pattern with candidate 5 in columns 5 and 6. Let me know if you need more help.

Best,

Gil
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Postby blackadder » Sun Jul 24, 2005 9:25 pm

Check the x-wing pattern with candidate 5 in columns 5 and 6.


Sorry, this is not an x-wing. You should find a true x-wing with candidate 2 on rows 2 and 4.
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Postby Wolfgang » Mon Jul 25, 2005 7:45 am

blackadder wrote:You should find a true x-wing with candidate 2 on rows 2 and 4.

And the one in 8 in rows 1 and 5 will help you.
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Postby Wolfgang » Mon Jul 25, 2005 7:50 am

Wolfgang wrote:And the one in 8 in rows 1 and 5 will help you.

After that look at columns 1 and 9
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Postby Bunnybuck » Mon Jul 25, 2005 7:51 am

Wolfgang wrote:
blackadder wrote:You should find a true x-wing with candidate 2 on rows 2 and 4.

And the one in 8 in rows 1 and 5 will help you.


There is another helpful x-wing in columns 7 and 9 with candidate 5.
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Postby Animator » Mon Jul 25, 2005 12:52 pm

First of all, re-check your pencilmarks (there is already a 5 in column 9).

Second, there is a useless X-Wing in the number 2 as pointed out, and there is a helpful X-wing in the number 8.

So take a really good look at the number 8.
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Postby chabo » Mon Jul 25, 2005 6:29 pm

There is an X-Wing pattern for the value 8 in the cells (1,3) (1,7) (5,3) and (5,7). This eliminates the value 8 for cell (2,3).
==> The value 1 is the only candidate for cell (2,3)

Read more about X-Wings at:
http://daily-sudoku.tk
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Postby Jan Otto » Tue Jul 26, 2005 12:41 am

The left box in the middle, row 4,5 and 6, column 1,2 and 3, have 5 cells with a single value and 4 cells with a combination of two numbers. The box can be expressed in two different ways, alternative A setting cell (4.1) to the value of 2, or alternative B setting cell (4.1) to 5. The other cells will be determined accordingly for each of the two alternatives. Continue the Sudoku puzzle with alternative A (all cells having only one unique number) and see what it leads to for the other boxes. If you reach an impossible combination for one of the cells in the other boxes, then the alternative A is impossible, and you know that alternative B is the right one. Continue in this way and select alternatives only from boxes with cells having a combination of two numbers.
Regards Jan Otto
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Postby tom375 » Fri Jul 29, 2005 4:24 am

If anyone is still reading this - Jan Otto's suggestion above just looks like trial and error to me. I have been following this problem to try to improve my technique. I have looked at the excellent angusj.com web site. I kind of understand what X-wings are but I don't understand the theory behind them. I tried Chabo's advice about the X-wing for 8 but finding 1 for r2c3 didn't get me anywhere.
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