The New Sudoku Players' Forum

by **mith** » Mon Oct 12, 2020 12:29 pm

Code: Select all: +-------+-------+-------+ | . . 3 | . . 1 | . . . | | . 4 1 | 5 . . | . 9 . | | 2 . . | 6 . . | . 5 3 | +-------+-------+-------+ | 5 . 8 | . . . | . . 9 | | . . . | . 7 . | . . . | | 9 . . | . . . | 3 . 2 | +-------+-------+-------+ | 3 8 . | . . 4 | . . 6 | | . 2 . | . . 6 | 4 3 . | | . . . | 3 . . | 8 . . | +-------+-------+-------+ ..3..1....415...9.2..6...535.8.....9....7....9.....3.238...4..6.2...643....3..8..

by **Cenoman** » Mon Oct 12, 2020 4:23 pm

One step (don't know if it is the expectation):

Code: Select all: +--------------------+----------------------+----------------------+ | 68 5 3 | d27-9 z29 1 | 267 a4678 478 | | 68 4 1 | 5 23 c237 | 267 9 b78 | | 2 9 7 | 6 4 8 | 1 5 3 | +--------------------+----------------------+----------------------+ | 5 1367 8 | 124 1236 23 | 67 1467 9 | | B14 136 2 | B1489 7 39 | 5 A1468 B148 | | 9 167 46 | 148 x168 5 | 3 w14678 2 | +--------------------+----------------------+----------------------+ | 3 8 5 | 127 12 4 | 9 127 6 | | 17 2 9 | 178 y158 6 | 4 3 157 | | 147 16 46 | 3 y1259 279 | 8 127 157 | +--------------------+----------------------+----------------------+

Kraken column (8)r156c8
(8)r1c8 - (8=7)r2c9 - r2c6 = (7)r1c4
(8)r5c8 - (8=149)r5c149
(8)r6c8 - r6c5 = (8-59)r89c5 = (9)r1c5
=> -9 r1c4; ste

by **mith** » Mon Oct 12, 2020 6:09 pm

I had two steps, but I’m not surprised you found a one step solution.

by **Cenoman** » Mon Oct 12, 2020 7:38 pm

I had also this more "elegant" two step solution (L-Wings):

Code: Select all: +--------------------+----------------------+----------------------+ | 68 5 3 | a29-7 b29 1 | 267 4678 478 | | 68 4 1 | 5 23 e237 | 267 9 78 | | 2 9 7 | 6 4 8 | 1 5 3 | +--------------------+----------------------+----------------------+ | 5 1367 8 | 124 1236 23 | 67 1467 9 | | 14 136 2 | A149-8 7 B39 | 5 1468 148 | | 9 167 46 | 148 E168 5 | 3 14678 2 | +--------------------+----------------------+----------------------+ | 3 8 5 | 127 12 4 | 9 127 6 | | 17 2 9 | 178 D158 6 | 4 3 157 | | 147 16 46 | 3 Dc1259 Cd279 | 8 127 157 | +--------------------+----------------------+----------------------+

1. (9)r1c4 = r1c5 - r9c5 = (9-7)r9c6 = (7)r2c6 => -7 r1c4
2. (9)r5c4 = r5c6 - r9c6 = (9-58)r89c5 = (8)r6c5 => -8 r5c4; ste

by **SteveG48** » Mon Oct 12, 2020 7:41 pm

Code: Select all: *--------------------------------------------------------------------* | 68 5 3 | 279 e29 1 | 267 4678 478 | | 68 4 1 | 5 e23 e237 | 267 9 d78 | | 2 9 7 | 6 4 8 | 1 5 3 | *----------------------+----------------------+----------------------| | 5 1367 8 | 124 1236 23 | 67 1467 9 | |c14 136 2 |c1489 7 b39 | 5 1468 d148 | | 9 167 46 | 148 b168 5 | 3 14678 2 | *----------------------+----------------------+----------------------| | 3 8 5 | 127 12 4 | 9 127 6 | | 17 2 9 | 178 b158 6 | 4 3 157 | | 147 16 46 | 3 b125-9 a279 | 8 127 157 | *--------------------------------------------------------------------*

9r9c6 = ((958)r679c5)&(9r5c6) - (8|9=14)r5c14 - (1|4=87)r25c9 - (7=239)b2c256 => -9 r9c5 ; stte

by **Leren** » Mon Oct 12, 2020 7:57 pm

Two non-Kraken steps :

Code: Select all: *-----------------------------------------------* | 68 5 3 | 29-7 29 1 | 267 4678 478 | | 68 4 1 | 5 23 a237 | 267 9 78 | | 2 9 7 | 6 4 8 | 1 5 3 | |-------------+-----------------+---------------| | 5 1367 8 |b124 1236 a23 | 67 1467 9 | | 14 136 2 |b1489 7 a39 | 5 1468 148 | | 9 167 46 |b148 168 5 | 3 14678 2 | |-------------+-----------------+---------------| | 3 8 5 |b127 12 4 | 9 127 6 | | 17 2 9 |b178 158 6 | 4 3 157 | | 147 16 46 | 3 1259 29-7 | 8 127 157 | *-----------------------------------------------*

1. ALS XZ Rule: X = 9, Z = 7: (7=9) r245c6 - (9=7) r45678c4 => - 7 r1c4; r9c6

Code: Select all: *-------------------------------------------* | 8 5 3 | 2-9 b29 1 | 67 467 47 | | 6 4 1 | 5 3 7 | 2 9 8 | | 2 9 7 | 6 4 8 | 1 5 3 | |-------------+--------------+--------------| | 5 1367 8 | 124 b126 23 | 67 1467 9 | | 14 36 2 |a89 7 39 | 5 68 14 | | 9 167 46 | 148 b168 5 | 3 14678 2 | |-------------+--------------+--------------| | 3 8 5 | 127 c12 4 | 9 127 6 | | 17 2 9 | 178 158 6 | 4 3 157 | | 147 16 46 | 3 1259 29 | 8 127 157 | *-------------------------------------------*

2. ALS XZ Rule: X = 8, Z = 9: (9=8) r5c4 - (8=9) r1467c5 => - 9 r1c4; stte

Leren

by **Ngisa** » Tue Oct 13, 2020 10:46 am

Code: Select all: +-----------------+--------------------+-------------------+ | 68 5 3 | b279 29 1 | 267 4678 478 | | 68 4 1 | 5 23 c237 | 267 9 d78 | | 2 9 7 | 6 4 8 | 1 5 3 | +-----------------+--------------------+-------------------+ | 5 1367 8 | 124 1236 23 | 67 1467 9 | |e14 136 2 |ea1489* 7 3-9 | 5 1468 e148 | | 9 167 46 | 148 168 5 | 3 14678 2 | +-----------------+--------------------+-------------------+ | 3 8 5 | 127 12 4 | 9 127 6 | | 17 2 9 | f178 g158 6 | 4 3 157 | | 147 16 46 | 3 h1259 i279 | 8 127 157 | +-----------------+--------------------+-------------------+

(9*)r5c4 = (9-7)r1c4 = r2c6 - (7=8)r2c9 - (8=1|48)r5c914 - (8)r8c4 = (8-5)r8c5 = (5-9)r9c5 = (9)r9c6 => - 9r5c6; btte

Clement

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