The New Sudoku Players' Forum

[RW]

First, I found 13 bilocation cells.

Yes, you are very right. I shall not try to count bilocation cells in the middle of the night ever again...

RW

[RW]

This one gets a little closer to proving leon's conjecture wrong:

Code: Select all

1.......9.2..6..7...3...5...8.42.......61.......8.7.4...9...1...6..7..8.5.......3

No bivalue cells, only 8 bilocation cells. One of the bilocation cells solves the puzzles with singles contradiction nets, one more when allowing locked candidates and three more with subsets. Three of the possible guesses need more advanced techniques:

Singles: [r6c2]=1
Locked Candidates: [r5c7]=8
Subsets: [r3c8]=1, [r9c6]=6, [r7c1]=8
No solution: [r3c1]=6,[r7c9]=7, [r3c4]=7

I'm starting to believe that there is a puzzle that will prove leon's conjecture wrong!

RW

[leon1789]

Code: Select all

1.......2
.9.4...5.
..6...7..
.5.9.3...
....7....
...85..4.
7.....6..
.3...9.8.
..2.....1

Code: Select all

1.......9.2..6..7...3...5...8.42.......61.......8.7.4...9...1...6..7..8.5.......3

Very difficult puzzles

I'm starting to believe that there is a puzzle that will prove leon's conjecture wrong!

...but...

the conjecure survives... For now...

Some puzzles can't be solved with singles contradiction nets (in the 1-level recursion). But with locked sets, the conjecture always "runs"