The New Sudoku Players' Forum

by **ArkieTech** » Thu Jul 20, 2017 10:47 pm

Code: Select all: *-----------* |274|859|613| |15.|736|..4| |.36|241|75.| |---+---+---| |.9.|372|...| |..7|165|.3.| |3..|498|57.| |---+---+---| |...|527|34.| |7.3|614|.95| |.4.|983|1.7| *-----------*

by **Leren** » Thu Jul 20, 2017 11:24 pm

Code: Select all: *-----------------------------------------------------* | 2 7 4 | 8 5 9 | 6 1 3 | | 1 5 89 | 7 3 6 | 289 28 4 | | 89 3 6 | 2 4 1 | 7 5 a89 | |-----------------+-----------------+-----------------| | 4568 9 158 | 3 7 2 | 48 68 168 | | 48 8-2 7 | 1 6 5 | 489 3 a89 | | 3 16 12 | 4 9 8 | 5 7 126 | |-----------------+-----------------+-----------------| |b689 b16 b189 | 5 2 7 | 3 4 a68 | | 7 b28 3 | 6 1 4 | 28 9 5 | | 56 4 25 | 9 8 3 | 1 26 7 | *-----------------------------------------------------*

ALS XZ Rule: X = 6, Z = 2: (2=6) r357c9 - (6=2) r7c123, r8c2 => - 2 r5c2; stte

Leren

by **JC Van Hay** » Thu Jul 20, 2017 11:42 pm

The 2 solutions of C8 + B9 + R8 -> 1 unique solution :

Code: Select all: +-----------------+---------+-----------------+ | 2 7 4 | 8 5 9 | 6 1 3 | | 1 5 89 | 7 3 6 | 289 28 4 | | 89 3 6 | 2 4 1 | 7 5 (89) | +-----------------+---------+-----------------+ | 4568 9 158 | 3 7 2 | 48 68 168 | | 48 (28) 7 | 1 6 5 | 489 3 (289) | | 3 16 12 | 4 9 8 | 5 7 126 | +-----------------+---------+-----------------+ | 689 16 189 | 5 2 7 | 3 4 6-8 | | 7 2(8) 3 | 6 1 4 | 2(8) 9 5 | | 56 4 25 | 9 8 3 | 1 26 7 | +-----------------+---------+-----------------+

{(89)r3c9, (892)r5c9, (28)r5c2, 8r8c27} -> -{8r7c9}; stte

by **pjb** » Fri Jul 21, 2017 2:09 am

Code: Select all: 2 7 4 | 8 5 9 | 6 1 3 1 5 89 | 7 3 6 | 289 28 4 89 3 6 | 2 4 1 | 7 5 d89 ------------------------+----------------------+--------------------- 4568 9 158 | 3 7 2 | 48 68 168 48 8-2 7 | 1 6 5 | 489 3 d289 3 16 a12 | 4 9 8 | 5 7 16-2 ------------------------+----------------------+--------------------- 689 16 189 | 5 2 7 | 3 4 d68 7 28 3 | 6 1 4 | 28 9 5 56 4 b25 | 9 8 3 | 1 c26 7

(2)r6c3 = r9c3 - (2=6)r9c8 - (6=892)r357c9 => -2 r5c2, r6c9; stte

Phil

by **Cenoman** » Fri Jul 21, 2017 10:33 am

Code: Select all: +--------------------+-----------------+-------------------+ | 2 7 4 | 8 5 9 | 6 1 3 | | 1 5 a89* | 7 3 6 | 289 28 4 | | a89* 3 6 | 2 4 1 | 7 5 a89* | +--------------------+-----------------+-------------------+ | 4568 9 b158 | 3 7 2 | 48 68 168 | | 48 28 7 | 1 6 5 | 489 3 289 | | 3 16 12 | 4 9 8 | 5 7 126 | +--------------------+-----------------+-------------------+ | d689 16 ad189* | 5 2 7 | 3 4 6-8 | | 7 c28 3 | 6 1 4 | 28 9 5 | | 56 4 c25 | 9 8 3 | 1 26 7 | +--------------------+-----------------+-------------------+

Almost kite (8)r7c3*=r2c3-r3c1=r3c9
[Kite(8)r27c3-r3c19] = (8-5)d3 = (25-8)b7p59 = (8)r7c13 => -8 r7c9; stte

Cenoman

by **Sudtyro2** » Fri Jul 21, 2017 4:08 pm

Code: Select all: *-------------------------------------------------------* | 2 7 4 | 8 5 9 | 6 1 3 | | 1 5 *89 | 7 3 6 | 289 28 4 | | *89 3 6 | 2 4 1 | 7 5 *89 | |------------------+-----------------+------------------| | 4568 9 #158 | 3 7 2 | 48 6-8d #168c | | 48 28 7 | 1 6 5 | 489 3 #289 | | 3 16 12 | 4 9 8 | 5 7 126c | |------------------+-----------------+------------------| | #689a 16 *189 | 5 2 7 | 3 4 *68b | | 7 28 3 | 6 1 4 | 28 9 5 | | 56 4 25 | 9 8 3 | 1 26 7 | *-------------------------------------------------------*

In 8s, a 5-link Oddagon(*) having four Guardians(#):

Code: Select all: 8r7c1 - (8=6)r7c9 - r46c9 = 6r4c8 - 8r4c8; 8r4c3,r45c9 - 8r4c8; stte

SteveC

July 21, 2017