Nomenclature and definitions

Advanced methods and approaches for solving Sudoku puzzles

Nomenclature and definitions

Postby rolferic » Thu Sep 22, 2005 5:25 pm

I am a beginner to su doku and have had much help from angusj:s document "Solving Sudoku". However, I have some questions. At first I was intrigued with the topic "entering big numbers". To me, a "big number" is a billion or trillion. As English isn't my natural language, I just humbly ask if it shouldn't be "big digits" or "big numerals". If you change the digits yo letters, you wouldn't say "big word" but "big letter".
The other thing is - should there not be restrictions on the X-wing and swordfish? Consider this layout (with 9 as candidates):
Row 1-2: No nines
Row 3 : 9 - 9
Row 4 : - - -
Row 5 : 9 - 9
Row 6-9: no nines
Colunns 5-9: several nines
This works fine.
Now move the pattern down (numerically up) and get:
R0w 1-3: No nines
Row 4 : 9 - 9
Row 5 : - - -
Row 6 : 9 - 9
Row 7-9: No nines
Now this "X-wing" cannot wotk (as I see it), because only one of the nines can be the "real" one.
If you then move it one step to the right, you get:
Row 1-3: No nines
Row 4 : - 9 -|9
Row 5 : - - -|-
Row 6 : - 9 -|9
Row 7-9: No nines
Now it works again

So it seems there should be a restriction that all 4 corners cannot be in the same box.

Extending this to swordfishes, the extreme layout is a 9-block.
As soon as 2 rows are in the same box, I can't see it work, and if it is a real, compact 9-block, 2 must be so that will never work.
I appreciate comments on this (of course it may be self-obvious, but a definition should really note the exceptions as well).
rolferic
 
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Re: Nomenclature and definitions

Postby lunababy_moonchild » Thu Sep 22, 2005 5:35 pm

rolferic wrote:I am a beginner to su doku and have had much help from angusj:s document "Solving Sudoku". However, I have some questions. At first I was intrigued with the topic "entering big numbers". To me, a "big number" is a billion or trillion. As English isn't my natural language, I just humbly ask if it shouldn't be "big digits" or "big numerals". If you change the digits yo letters, you wouldn't say "big word" but "big letter".


Sounds right to me, well spotted.

The rest of the solving techniques I'll leave to the experts on this forum.

Luna *Hello and welcome btw*
lunababy_moonchild
 
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Postby kwdos » Sun Sep 25, 2005 11:37 am

I think you are right in the sense that such a pattern would not be a valid/useable XWing. However, if I understand your grid correctly, I don't think that such a pattern of candidates could ever occur : there must be a 9 in column 1 AND in column 3 therefore, all candidates for the 9's in these two columns cannot be in one box.

But perhaps I am being silly and misunderstanding the situation you describe?
kwdos
 
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