The New Sudoku Players' Forum

by **ArkieTech** » Tue Nov 14, 2017 11:02 pm

Code: Select all: *-----------* |...|...|..9| |..7|..2|.8.| |.6.|.3.|5..| |---+---+---| |...|..9|.5.| |..2|.8.|..4| |.1.|4..|3..| |---+---+---| |..3|..7|..1| |.9.|8..|.6.| |6..|.1.|4..| *-----------*

by **SteveG48** » Wed Nov 15, 2017 12:48 am

Code: Select all: *-----------------------------------------------------------------------------* | 123458 23458 1458 | 1567 4567 14568 | 1267 e12347 9 | | 13459 345 7 | 1569 4569 2 | 16 8 f36 | | 12489 6 1489 | 179 3 148 | 5 1247 27 | *-------------------------+-------------------------+-------------------------| | 3478 3478 g468 | 12367 267 9 | 12678 5 g2678 | | 3579 357 2 |a13567 8 a1356 |b1679 c179 4 | | 5789 1 g5689 | 4 2567 5-6 | 3 c279 g2678 | *-------------------------+-------------------------+-------------------------| | 2458 2458 3 | 2569 24569 7 | 289 d29 1 | | 12457 9 145 | 8 245 345 |d27 6 2357 | | 6 2578 58 | 2359 1 35 | 4 d2379 23578 | *-----------------------------------------------------------------------------*

6r5c46 = (6-9)r5c7 = r56c8 - (9=237)b8p248 - 3r1c8 = (3-6)r2c9 = Xwing[6r46c39] => -6r6c6 ; stte

by **Leren** » Wed Nov 15, 2017 12:55 am

Code: Select all: *---------------------------------------------------------------* | 123458 23458 1458 | 1567 4567 14568 | 1267 12347 9 | | 13459 345 7 | 1569 4569 2 | 16 8 36 | | 12489 6 1489 | 179 3 148 | 5 1247 27 | |--------------------+--------------------+---------------------| | 3478 3478 468 | 12367 267 9 | 12678 5 2678 | | 3579 357 2 | 13567 8 1356 | 1679 179 4 | | 5789 1 5689 | 4 2567 56 | 3 279 2678 | |--------------------+--------------------+---------------------| | 2458 2458 3 | 2569 24569 7 | 8-29 b29 1 | | 12457 9 145 | 8 245 345 |b27 6 35-27 | | 6 27-58 c58 | 29-35 1 c35 | 4 a2379 a23578 | *---------------------------------------------------------------*

Sue de Coq : Base Cells r9c89, Box Cells r7c8, r8c7, Row Cells r9c36 => - 29 r7c7, - 27 r8c9, - 58 r9c2, - 35 r9c4; lclste

Leren

by **pjb** » Wed Nov 15, 2017 3:56 am

Code: Select all: 123458 23458 1458 | 1567 4567 14568 | 1267 12347 9 13459 345 7 | 1569 4569 2 | 16 8 36 12489 6 1489 | 179 3 148 | 5 1247 27 ------------------------+----------------------+--------------------- 3478 3478 468 | 12367 267 9 | 12678 5 2678 3579 357 2 |b13567 8 b1356 |c1679 179 4 5789 1 689-5 | 4 2567 a56 | 3 279 2678 ------------------------+----------------------+--------------------- 2458 2458 3 | 2569 24569 7 |d289 29 1 12457 9 145 | 8 245 345 | 27 6 2357 6 2578 f58 | 2359 1 3-5 | 4 2379 e23578

(5=6)r6c6 - r5c46 = (6-9)r5c7 = (9-8)r7c7 = r9c9 - (8=5)r9c3 => -5 r6c3, r9c6; stte

Phil

by **Cenoman** » Wed Nov 15, 2017 5:43 pm

A simple M-ring is enough for lclste finish:

Code: Select all: +--------------------------+--------------------------+--------------------------+ | 123458 23458 1458 | 1567 4567 14568 | 1267 12347 9 | | 13459 345 7 | 1569 4569 2 | 16 8 36 | | 12489 6 1489 | 179 3 148 | 5 1247 27 | +--------------------------+--------------------------+--------------------------+ | 3478 3478 468 | 12367 267 9 | 12678 5 2678 | | 3579 357 2 | 13567 8 156-3 | 1679 179 4 | | 5789 1 5689 | 4 2567 56 | 3 279 2678 | +--------------------------+--------------------------+--------------------------+ | 2458 2458 3 | 2569 24569 7 | 289 29 1 | | 12457 9 145 | 8 245 d345 | 27 6 c35-27 | | 6 278-5 8-5 | 29-35 1 a35 | 4 2379 b23578 | +--------------------------+--------------------------+--------------------------+

(3=5)r9c6 - r9c9 = (5-3)r8c9 = (3)r8c6 => -3 r5c6,r9c4, -27 r8c9, -5r9c234; lclste
(-5 r9c3 is the efficient elimination)

For stte finish:

Code: Select all: +--------------------------+--------------------------+--------------------------+ | 123458 23458 1458 | 1567 4567 14568 | 1267 e12347 9 | | 13459 345 7 | 1569 4569 2 | d16 8 36 | | 12489 6 1489 | 179 3 148 | 5 e1247 27 | +--------------------------+--------------------------+--------------------------+ | 3478 3478 468 | 12367 267 9 | 12678 5 2678 | | 3579 357 2 | b13567 8 gb1356 | c1679 f179 4 | | 5789 1 5689 | 4 2567 ga56 | 3 279 2678 | +--------------------------+--------------------------+--------------------------+ | 2458 2458 3 | 2569 24569 7 | 289 29 1 | | 12457 9 145 | 8 245 45-3 | 27 6 2357 | | 6 2578 58 | 2359 1 ga35 | 4 2379 23578 | +--------------------------+--------------------------+--------------------------+

(3=6)r69c6 - r5c46 = r5c7 - (6=1)r2c7 - r13c8 = r5c8 - (1=3)r569c6 => -3 r8c6; stte

Cenoman

by **eleven** » Wed Nov 15, 2017 8:38 pm

Similar:

Code: Select all: *--------------------------------------------------------------------------------* | 123458 23458 1458 | 1567 4567 1468-5 | 1267 12347 9 | | 13459 345 7 | 1569 4569 2 | c16 8 36 | | 12489 6 1489 | 179 3 148 | 5 1247 27 | |--------------------------+--------------------------+--------------------------| | 3478 3478 468 | 12367 267 9 | c12678 5 2678 | | 3579 357 2 | e13567 8 ea1356 |db1679 b179 4 | | 5789 1 5689 | 4 2567 fa56 | 3 279 2678 | |--------------------------+--------------------------+--------------------------| | 2458 2458 3 | 2569 24569 7 | 289 29 1 | | 12457 9 145 | 8 245 4-35 | 27 6 2357 | | 6 2578 58 | 2359 1 fa35 | 4 2379 23578 | *--------------------------------------------------------------------------------*

(35=1)r569c6-r5c78=r4c7-(1=6)r2c7-r5c7=r5c46-(6=35)r69c6 => -35r8c6, -5r1c6
[edit: hidden pair not needed]

November 15, 2017