## Sashimi conjecture

Advanced methods and approaches for solving Sudoku puzzles

### Sashimi conjecture

Happy 2009. Here is a challenge for you:

Conjecture: All Sashimi in rows have complementary almost-locked set eliminations in columns. These alternative eliminations always involve the complementary set of columns of the original Sashimi and may not be the same elimination.

Conjecture: All Sashimi in columns have complementary almost-locked set eliminations in rows. These alternative eliminations always involve the complementary set of rows of the original Sashimi and may not be the same elimination.

For each of these conjectures, the converse is not necessarily true.

Prove or disprove?

for discussion, see:

http://www.stolaf.edu/people/hansonr/sudoku/explain.htm#sashimi

Bob Hanson
Bob Hanson

Posts: 75
Joined: 04 December 2005

### Re: Sashimi conjecture

Bob Hanson wrote:Conjecture: All Sashimi in rows have complementary almost-locked set eliminations in columns. These alternative eliminations always involve the complementary set of columns of the original Sashimi and may not be the same elimination.

Conjecture: All Sashimi in columns have complementary almost-locked set eliminations in rows. These alternative eliminations always involve the complementary set of rows of the original Sashimi and may not be the same elimination.

Bob, complementary fish have the same fin(s) and the same elimination(s), for example ...
Code: Select all
`a6  .  . | a6  .  . |  .  .  . .  . b6 |  . b6  . |  . b6  . .  .  6 |  .  6  . | a6  . a6---------+----------+---------- .  .  . |  .  .  . |  .  .  . . b6  . |  .  .  . | #6  .  .a6  6  . |  .  .  . | a6 -6 a6---------+----------+---------- .  .  . | a6  .  . |  .  6 a6 . b6 b6 |  .  .  . |  . b6  . . b6  . |  . b6  . |  .  .  .a: (6)c1479\r1367 + fin r5c7 ==> r6c8<>6b: (6)r2589\c2358 + fin r5c7 ==> r6c8<>6`
ronk
2012 Supporter

Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

Excellent! I've got that going now in the Sudoku Assistant.

Thanks again for your help.

Bob
Bob Hanson

Posts: 75
Joined: 04 December 2005