I recently started doing sudoku (for on the train.) I did two “easy” ones pretty easy, so I switched to the “advanced” book and am now on #4 in the book. But I am at a dead end. I’ve verified the squares I have filled versus the answer section (ignoring the squares I don’t have), and they are all correct. So I suspect that there is some method to determine a box that I haven’t yet deduced in my long history of five solved puzzles.
The original box was:
- 8 - | - - 5 | - - -
1 - - | - 2 - | - 6 -
- - - | 1 - - | 4 - -
- - 7 | - - 8 | - - 5
- 9 - | - 4 - | - 3 -
4 - - | 3 - - | 7 - -
- - 1 | - - 2 | - - -
- 7 - | - 5 - | - - 8
- - - | 9 - - | - 5 -
Now refering to the boxes by coordinates (A -> I from left to right, and 1 -> 9 from top to bottom), I have solved…
[spoiler]C3 = 5
D2 = 8
G2 = 5
H3 = 8
A4 = 3
B4 = 1
B6 = 5
C6 = 8
D4 = 2
D5 = 5
F5 = 7
H4 = 4
G5 = 8
I5 = 1
A7 = 5
A9 = 8
E7 = 8[/spoiler]
And…resorting to brute forcing, I currently have the following listed as possibilities for each of the remaining squares…
[spoiler]A1 = 2,6,7,9
C1 = 2,3,4,6,9
B2 = 3,4
C2 = 3,4,9
A3 = 2,6,7,9
B3 = 2,3,6
D1 = 4,6,7
E1 = 3,6,7,9
F2 = 3,4,9
E3 = 3,6,7,9
F3 = 3,6,9
G1 = 1,2,3,9
H1 = 1,2,7,9
I1 = 2,3,7,9
I2 = 3,7,9
I3 = 2,3,7,9
A5 = 2,6
C5 = 2,6
E4 = 6,9
E6 = 1,6,9
F6 = 1,6,9
G4 = 6,9
H6 = 2,9
I6 = 2,6,9
B7 = 3,4,6
A8 = 2,6,9
C8 = 2,3,4,6,9
B9 = 2,3,4,6
C9 = 2,3,4,6
D7 = 4,6,7
D8 = 4,6
F8 = 1,3,4,6
E9 = 1,3,6,7
F9 = 1,3,4,6
G7 = 3,6,9
H7 = 7,9
I7 = 3,4,6,7,9
G8 = 1,2,3,6
H8 = 1,2
G9 = 1,2,3,6
I9 = 2,3,4,6,7
[/spoiler]
(hopefully, I typed that all in correctly)
But running combinations within a 3X3 box I’m not having any luck with finding anything being ruled out for a position. And running combos between multiple boxes seems rather extreme, regardless of whether it is an “advanced” book or not.
I suspect that there is some pattern that I just haven’t yet learned to look for, so do any of you experienced folk out there see where the weak point is in this puzzle?
- Given that a sudoku is computer generated and that the book is Japanese, I am doubting that this is any sort of copywrite violation. But otherwise…well apologies.