Error Chains (new solve technique?)

Advanced methods and approaches for solving Sudoku puzzles

Postby Havard » Wed Feb 08, 2006 9:00 pm

edit: sorry- left out the quote
Last edited by Havard on Wed Feb 08, 2006 5:03 pm, edited 1 time in total.
Havard
 
Posts: 378
Joined: 25 December 2005

Postby Havard » Wed Feb 08, 2006 9:03 pm

pjaj wrote:As a newbie, I don't know if this is quite relevant to this particular discussion, but in a recent game I reached the following position with one number
Code: Select all
 ...|...|...
 ...|...|...
 ...|x.x|...
 ---+---+---
 x..|x.x|...
 ..x|.xx|...
 ...|...|...
 ---+---+---
 ..x|x.x|...
 x..|xx.|...
 ...|...|...

Now I admit that I may have overlooked something much simpler, but consider r5c3
r5c3=x > r4c1<>x > r8c1=x
With both r5c3 & r8c1 = x > {r4c1, r5c5, r5c6, r7c3, r8c4, r8c5} <> x
Which leaves 6 cells in c4 & c6 for the 3 remaining xs in r3, r4 & r7.
Clearly impossible, therefore r5c3 (& r8c1) <> x
What have I found here? It doesn't look like colouring or some fishy beast.


I would just find the beautiful skyscraper here:

Image

which would leave you with:

Image

:D
Havard
 
Posts: 378
Joined: 25 December 2005

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