The New Sudoku Players' Forum

by **SteveG48** » Sun Jul 02, 2023 9:03 am

Code: Select all: *-----------* |129|46.|..3| |...|.7.|...| |...|1.2|5..| |---+---+---| |4.8|...|..5| |.7.|...|.3.| |3..|...|9.2| |---+---+---| |..1|6.8|...| |...|.4.|...| |2..|.57|491| *-----------*

by **jco** » Sun Jul 02, 2023 4:25 pm

After basics

Code: Select all: .---------------------------------------------------------------------. | 1 2 9 | 4 6 5 | 78 78 3 | | 58-6 356 34 | 89 7 39 | 12 12 469 | | 78-6 a36 347 | 1 Ab39(8) 2 | 5 46 469 | |-----------------------+----------------------+----------------------| | 4 19-6 8 | 279 1239 369 | 167 167 5 | |Ce69 7 2 | 5 B189 469 | 168 3 468 | | 3 1-6 5 | 78 B18 46 | 9 14678 2 | |-----------------------+----------------------+----------------------| | d59 4 1 | 6 c29 8 | 3 25 7 | | 579 359 37 | 29 4 1 | 268 2568 68 | | 2 8 6 | 3 5 7 | 4 9 1 | '---------------------------------------------------------------------'

1.[(6=3)r3c2 - (3='9)r3c5 - (9)r7c5 = (9)r7c1 - (9=6)r5c1] = (8)r3c5 - (8=19)r56c5 - (9=6)r5c1

=> -6 r23c1, r46c2 [18 placements and NP]
---

Code: Select all: .--------------------------------------------------. | 1 2 9 | 4 6 5 | 78 78 3 | | 5 36 4 | 8 7 39 | 12 12 c69 | | 8 D3-6 7 | 1 C39 2 | 5 d46 c49(6)| |----------------+---------------+-----------------| | 4 9 8 | 2 B13 36 |A(1)67 17 5 | | 6 7 2 | 5 19 49 | 18 3 48 | | 3 1 5 | 7 8 46 | 9 46 2 | |----------------+---------------+-----------------| | 9 4 1 | 6 2 8 | 3 5 7 | | 7 5 3 | 9 4 1 |a(8)26 28 b68 | | 2 8 6 | 3 5 7 | 4 9 1 | '--------------------------------------------------'

2. BUG+3 => -6 r3c2; ste
||(6)r3c9
||(8)r8c7 - (8=6)r8c9 - (6)r23c9 = (6)r3c8
||(1)r4c7 - (1=3)r4c5 - (3)r3c5 = (3)r3c2

by **Cenoman** » Sun Jul 02, 2023 4:32 pm

Code: Select all: +--------------------+---------------------+----------------------+ | 1 2 9 | 4 6 5 | 78 78 3 | | 568 56-3 4-3 | 89 7 39z | 12 12 469 | | 678 Dd36 347 | 1 89-3 2 | 5 d46 469 | +--------------------+---------------------+----------------------+ | 4 C169 8 | 279 1239 369 | 167 167 5 | | B69 7 2 | 5 189 Aa469y | 168 3 468 | | 3 C16 5 | 78 18 b46 | 9 c14678 2 | +--------------------+---------------------+----------------------+ | 59 4 1 | 6 29 8 | 3 25 7 | | 579 359 37 | 29 4 1 | 268 2568 68 | | 2 8 6 | 3 5 7 | 4 9 1 | +--------------------+---------------------+----------------------+

Kraken cell (469)r5c6
(4)r5c6 - r6c6 = r6c8 - (4=63)r3c28
(6)r5c6 - r5c1 = r46c2 - (6=3)r3c2
(9)r5c6 - (9=3)r2c6
=> -3 r3c5, r2c23; ste

by **Ngisa** » Sun Jul 02, 2023 5:29 pm

Three steps

Code: Select all: +-----------------+------------------+-------------------+ | 1 2 9 | 4 6 5 | 78 78 3 | | 568 356 34 | 89 7 39 | 12 12 469 | | 678 a36 347 | 1 b389 2 | 5 46 469 | +-----------------+------------------+-------------------+ | 4 169 8 | 279 c1239 369 | 167 167 5 | |f69 7 2 | 5 189 469 | 168 3 468 | | 3 1-6 5 | 78 18 46 | 9 14678 2 | +-----------------+------------------+-------------------+ |e59 4 1 | 6 d29 8 | 3 25 7 | | 579 359 37 | 29 4 1 | 268 2568 68 | | 2 8 6 | 3 5 7 | 4 9 1 | +-----------------+------------------+-------------------+

Step 1: (6=3)r3c2 - r3c5 = (3-2)r4c5 = (2-9)r7c5 = (9)r7c1 - (9=6)r5c1 => - 6r6c2

Code: Select all: +----------------+-------------------+-------------------+ | 1 2 9 | 4 6 5 | 78 78 3 | |b56 356 4 | 8 7 39 | 12 12 69 | | 8 c36 7 | 1 c39 2 | 5 46 469 | +----------------+-------------------+-------------------+ | 4 69 8 | 29 1239 369 | 167 167 5 | | 69 7 2 | 5 19 469 | 168 3 468 | | 3 1 5 | 7 8 46 | 9 46 2 | +----------------+-------------------+-------------------+ |a59 4 1 | 6 2-9 8 | 3 25 7 | | 7 59 3 | 29 4 1 | 268 258 68 | | 2 8 6 | 3 5 7 | 4 9 1 | +----------------+-------------------+-------------------+

Step 2: (9=5)r7c1 - (5=6)r2c1 - (6=39)r3c25 => - 9r7c5

Code: Select all: +----------------+-----------------+--------------------+ | 1 2 9 | 4 6 5 | 78 78 3 | | 5 36 4 | 8 7 3-9| 12 12 a69 | | 8 36 7 | 1 39 2 | 5 b46 469 | +----------------+-----------------+--------------------+ | 4 9 8 | 2 13 36 | 167 17 5 | | 6 7 2 | 5 19 e49 | 18 3 48 | | 3 1 5 | 7 8 d46 | 9 c46 2 | +----------------+-----------------+--------------------+ | 9 4 1 | 6 2 8 | 3 5 7 | | 7 5 3 | 9 4 1 | 268 28 68 | | 2 8 6 | 3 5 7 | 4 9 1 | +----------------+-----------------+--------------------+

Step 3: (9=6)r2c9 - (6=4)r3c8 - r6c8 - (4=9)r5c6 => - 9r2c6; stte

Clement

by **SteveG48** » Tue Jul 04, 2023 1:40 am

Code: Select all: *---------------------------------------------------------------------* | 1 2 9 | 4 6 5 | 78 78 3 | |b568 56-3 4-3 | 89 7 a39 | 12 12 469 | |b678 af36 347 | 1 89-3 2 | 5 f46 469 | *----------------------+-----------------------+----------------------| | 4 169 8 | 279 1239 369 | 167 167 5 | |c69 7 2 | 5 189 bc469 | 168 3 468 | | 3 16 5 | 78 18 d46 | 9 e14678 2 | *----------------------+-----------------------+----------------------| | 59 4 1 | 6 29 8 | 3 25 7 | | 579 359 37 | 29 4 1 | 268 2568 68 | | 2 8 6 | 3 5 7 | 4 9 1 | *---------------------------------------------------------------------*

(3=69)r2c6,r3c2 - 6r23c1|9r5c6 = (64)r5c16 - 4r6c6 = r6c8 - (4=63)r3c28 => -3 r2c23,r3c5 ; ste

7-2-2023