The New Sudoku Players' Forum

by **ArkieTech** » Sat Jul 22, 2017 10:41 pm

Code: Select all: *-----------* |52.|...|...| |9..|..5|.84| |.43|.62|...| |---+---+---| |...|...|49.| |13.|.2.|.67| |.97|...|...| |---+---+---| |...|43.|51.| |41.|6..|..3| |...|...|.48| *-----------*

by **eleven** » Sat Jul 22, 2017 11:16 pm

Code: Select all: *------------------------------------------------------------------* | 5 2 18 | 1789 178 4 | 13679 37 169 | | 9 67 16 | 3 17 5 | 2 8 4 | | 78 4 3 | 1789 6 2 | 179 57 159 | |----------------------+--------------------+----------------------| | 268 568 2568 | 178 178 3 | 4 9 12 | | 1 3 4 | 5 2 9 | 8 6 7 | | 28 9 7 | 18 4 6 | 13 235 125 | |----------------------+--------------------+----------------------| | 268-7 b678 2689 | 4 3 b78 | 5 1 269 | | 4 1 2589 | 6 59 78 | 79 27 3 | | 3 a567 a569 | 2 a59 1 | 679 4 8 | *------------------------------------------------------------------*

(7=6)r9c235-(6=7)r7c26 => -7r7c1, stte
[Edit: corrected typo, thanks Bat]

by **pjb** » Sun Jul 23, 2017 1:49 am

Code: Select all: 5 2 18 | 1789 178 4 | 13679 37 169 9 67 16 | 3 17 5 | 2 8 4 78 4 3 | 1789 6 2 | 179 57 159 ------------------------+----------------------+--------------------- 268 568 2568 | 178 178 3 | 4 9 12 1 3 4 | 5 2 9 | 8 6 7 28 9 7 | 18 4 6 | 13 235 125 ------------------------+----------------------+--------------------- a268A-7 e678B 2689 | 4 3 78B | 5 1 d269 4 1 2589 | 6 59 78 | 79 27 3 3 b567 569 | 2 59 1 |c679 4 8

That's hard to beat. Same elimination via contradiction:
(7)r7c1 - r9c2 = (7-6)r9c7 = r7c9 - (6)r7c2
(7)r7c1 - (78=6)r7c26 => -7 r7c1
Phil

by **bat999** » Sun Jul 23, 2017 11:40 am

Code: Select all: .-------------------.----------------.---------------------. | 5 2 18 | 1789 178 4 | 13679 37 c169 | | 9 67 16 | 3 17 5 | 2 8 4 | | c78 4 3 | 1789 6 2 | c179 c57 c159 | :-------------------+----------------+---------------------: | b268 568 2568 | 178 178 3 | 4 9 12 | | 1 3 4 | 5 2 9 | 8 6 7 | | b28 9 7 | 18 4 6 | 13 235 125 | :-------------------+-------------- -+---------------------: | b2678 a678 2689 | 4 3 a78 | 5 1 29-6 | | 4 1 2589 | 6 59 78 | 79 27 3 | | 3 567 569 | 2 59 1 | 679 4 8 | '-------------------'----------------'---------------------'

(6=7)r7c26 - (7=8)r467c1 - (8=6)r1c9,r3c1789 => -6 r7c9; stte

by **Ngisa** » Sun Jul 23, 2017 1:58 pm

Code: Select all: +----------------------+----------------------+----------------------+ | 5 2 a18 | 1789 178 4 | 136 37 169 | | 9 67 a16 | 3 17 5 | 2 8 4 | |h7-8 4 3 | 1789 6 2 | 179 57 159 | +----------------------+----------------------+----------------------+ | 268 d568 2568 | 178 178 3 | 4 9 12 | | 1 3 4 | 5 2 9 | 8 6 7 | | 28 9 7 | 18 4 6 | 13 235 125 | +----------------------+----------------------+----------------------+ |g2678 e678 2689 | 4 3 f78 | 5 1 269 | | 4 1 2589 | 6 59 78 | 79 27 3 | | 3 c567 b569 | 2 b59 1 | 679 4 8 | +----------------------+----------------------+----------------------+

(8=16)r12c3 - (6=95)r9c35 - (5)r9c2 = (5-8)r4c2 = r7c2 - (8=7)r7c6 - r7c1 = (7)r3c1 => -8 r3c1; stte

Clement

by **Sudtyro2** » Sun Jul 23, 2017 8:48 pm

Code: Select all: *------------------------------------------------------------------* | 5 2 18D | 1789 178 4 | 13679 37 169 | | 9 67 16 | 3 17 5 | 2 8 4 | | 78C 4 3 | 1789 6 2 | 179 57 159 | |----------------------+--------------------+----------------------| | #268A 568 *2568 | 178 178 3 | 4 9 *12 | | 1 3 4 | 5 2 9 | 8 6 7 | | 28B 9 7 | 18 4 6 | 13 235 #125A | |----------------------+--------------------+----------------------| | 2678 678 #2689a | 4 3 78 | 5 1 *269b | | 4 1 *259-8 | 6 59 78c | 79c *27 3 | | 3 567 569 | 2 59 1 | 679 4 8 | *------------------------------------------------------------------*

In 2s, a 5-link Oddagon(*) having three Guardians(#), but a common elimination in 8s:

Code: Select all: (2-9)r7c3 = r7c9 - (9=78)r8c67 - 8r8c3; 2r4c1,r6c9 - (2=8)r6c1 - r3c1 = 8r1c3 - 8r8c3; stte. Not sure of proper notation for 2r4c1 and 2r6c9 having same chain.

SteveC

July 23, 2017