RW wrote:
Just read about your remarkable puzzle in my local newspaper. I don't want to post other peoples puzzles here, published or not, but I was hoping that maybe you want to share it with the sudoku community. It should give people something to think about for a while, at least Sudoku Explainer needs a little fix - there's a typo in the phrase "The Sudoku Emplainer failed to solve this Sudoku using logical rules only"...
Sure, this puzzle must be:
- Code: Select all
AI Escargot
+-------+-------+-------+
| 1 . . | . . 7 | . 9 . |
| . 3 . | . 2 . | . . 8 |
| . . 9 | 6 . . | 5 . . |
+-------+-------+-------+
| . . 5 | 3 . . | 9 . . |
| . 1 . | . 8 . | . . 2 |
| 6 . . | . . 4 | . . . |
+-------+-------+-------+
| 3 . . | . . . | . 1 . |
| . 4 . | . . . | . . 7 |
| . . 7 | . . . | 3 . . |
+-------+-------+-------+
RW wrote:I think I understand better now the point of your technique. A technique that finds the solution to all puzzles is nothing new, but if it can find the shortest solution, then it could be something quite revolutionary. At least I haven't seen anything like that before. I don't quite understand your terminology though. Around here the word 'link' is usually used for strong or weak links between 2 candidate cells. It seems you use the word link in a totally different meanig. Could you explain exactly what the links indicate, preferably with the help of a 4 or 5 link AIroot elimination, in such a way that everybody can understand what a n link elimination is?
The elimination link might be more accurate term for my links, sometimes these lead conflicts and then number can be eliminates. Anyway the links are one way interactions. For example in the following subpuzzle:
- Code: Select all
A B C D E F G H I
+-------------------+-------------------+-------------------+
A | 167 67 . | . . . | . . . |
B | 189 289 . | . . . | . . . |
C | . . . | . . . | . . . |
+-------------------+-------------------+-------------------+
D | 167 367 . | . . . | . . . |
E | 189 . . | . . . | . . 589 |
F | . 389 . | . . . | . . 589 |
+-------------------+-------------------+-------------------+
G | . 45 57 | . . . | 52 569 . |
H | . 36 . | . . . | 2346 . 2456 |
I | 15 . . | . . . | 56 . 1235 |
+-------------------+-------------------+-------------------+
AI5 again mean, that this number can be eliminates from bottom left corner and AI=1, that number is one. Lets look at it.
Initial:
AI=1 -> AA1,AB1,AD1,AE1,II1
First link.
AIroot link one BD8,BD9,BD=3 (unique rectangle), GG5,GG=2,HG5, (block interaction)
Second link:
BF3,BH3,BH=6
GH2,IH2
Third link:
GH6,IH6
Fourth link:
GI5 (triples 3,4,5 at GH,IH,II)
Fifth link;
IE5,IF5 (block iteraction)
Sixth link:
BB8,BB9,BB=2 (six cell unique conflict)
So at the next step or links all possible eliminations will be made and if this lead to conflict somewhere in the puzzle the number can be eliminated.
I don't know, if this clarify anything, but atleast it is other example, how links continues.