The New Sudoku Players' Forum

by **m_b_metcalf** » Sat Apr 18, 2026 9:02 am

Here's a by-product of the minlex exercise going on here.

Code: Select all: . . . . . . . . . . . . . . . . . 1 . . . . . 1 . . 2 . . 1 . . 3 . 4 5 . . 6 . 2 . . 7 . . . 8 . 4 . . . . . 1 7 . . 9 . 2 . . 5 4 . 8 . . 1 . . 9 . 6 . 7 . . 3 .................1.....1..2..1..3.45..6.2..7...8.4.....17..9.2..54.8..1..9.6.7..3

by **Cenoman** » Sat Apr 18, 2026 4:49 pm

Code: Select all: +----------------------+-----------------------+---------------------+ | 1 2678 359 | 25789 3679 568 | 3567 3689 4 | | 27 2678 359 | 25789 3679 4 | 3567 3689 1 | | 47 4678 359 | 5789 3679 1 | 3567 3689 2 | +----------------------+-----------------------+---------------------+ | 9-27 a27 1 | 789 679 3 | b268 4 5 | | 459 34 6 | 1589 2 58 | 138 7 89 | | d2579 d237 8 | c17-59 4 56 | c12-36 36 69 | +----------------------+-----------------------+---------------------+ | 3 1 7 | 4 5 9 | 68 2 68 | | 6 5 4 | 3 8 2 | 9 1 7 | | 8 9 2 | 6 1 7 | 4 5 3 | +----------------------+-----------------------+---------------------+

AHS M-Ring:
(7=2)r4c2 - r4c7 = (21-7)r6c47 = (7)r6c12 loop => -27 r4c1, -59 r6c4, -36 r6c7; ste

by **SteveG48** » Sat Apr 18, 2026 9:48 pm

Code: Select all: *----------------------------------------------------------------------* | 1 2678 359 | 25789 3679 568 | 3567 3689 4 | | 27 2678 359 | 25789 3679 4 | 3567 3689 1 | | 47 4678 359 | 5789 3679 1 | 3567 3689 2 | *-----------------------+-----------------------+----------------------| |ac279 ac27 1 |ac789 ac679 3 | 68-2 4 5 | | 459 34 6 | 1589 2 b58 | 138 7 89 | | 2579 237 8 | 1579 4 b56 | 1236 36 69 | *-----------------------+-----------------------+----------------------| | 3 1 7 | 4 5 9 | 68 2 68 | | 6 5 4 | 3 8 2 | 9 1 7 | | 8 9 2 | 6 1 7 | 4 5 3 | *----------------------------------------------------------------------*

(2=7958)r4c1245 - (6=58)r56c6 - (8=6792)r4c1245 => -2 r4c7 ; ste

by **Leren** » Sat Apr 18, 2026 11:42 pm

Code: Select all: *---------------------------------------------------* | 1 2678 359 | 25789 3679 a68-5 | 3567 3689 4 | | 27 2678 359 | 25789 3679 4 | 3567 3689 1 | | 47 4678 359 | 5789 3679 1 | 3567 3689 2 | |---------------+------------------+----------------| | 279 27 1 | 789 679 3 | 268 4 5 | | 459 34 6 | 159-8 2 b58 | 13-8 7 c89 | | 2579 237 8 | 1579 4 f56 | 123-6 3-6 e69 | |---------------+------------------+----------------| | 3 1 7 | 4 5 9 | 68 2 d68 | | 6 5 4 | 3 8 2 | 9 1 7 | | 8 9 2 | 6 1 7 | 4 5 3 | *---------------------------------------------------*

(8) r1c6 = r5c6 - r5c9 = (8-6) r7c9 = r6c9 - r6c6 = (6) r1c6 loop => - 5 r1c6, - 6 r6c78, - 8 r5c47; stte

by **pjb** » Sat Apr 18, 2026 11:52 pm

Code: Select all: 1 2678 359 | 25789 3679 568 | 3567 3689 4 27 2678 359 | 25789 3679 4 | 3567 3689 1 47 4678 359 | 5789 3679 1 | 3567 3689 2 ------------------------+----------------------+--------------------- a27-9 a27 1 | 789 679 3 | 268 4 5 459 34 6 | 1589 2 58 | 138 7 89 b2579 b237 8 | 179-5 4 b56 | 12-36 b36 9-6 ------------------------+----------------------+--------------------- 3 1 7 | 4 5 9 | 68 2 68 6 5 4 | 3 8 2 | 9 1 7 8 9 2 | 6 1 7 | 4 5 3

6 digits in 6 cells: r4c12, r6c1268, eliminating -9 r5c1, -5 r6c4, -3 r6c7, -6 r6c79; stte

Phil

minlex