The New Sudoku Players' Forum

by **P.O.** » Mon Jan 16, 2023 10:43 am

Code: Select all: 6 . . 4 2 1 . . . . 1 . 6 3 8 . . . . . 3 7 9 5 . . . 3 6 8 5 1 2 4 9 7 2 9 1 3 7 4 5 8 6 7 4 5 8 6 9 3 1 2 . . . 2 8 6 9 . . . . . 9 5 7 . 2 . . . . 1 4 3 . . 5 6..421....1.638.....3795...368512497291374586745869312...2869.....957.2....143..5 6 578 79 4 2 1 78 357 389 459 1 2479 6 3 8 27 457 49 48 28 3 7 9 5 1268 46 148 3 6 8 5 1 2 4 9 7 2 9 1 3 7 4 5 8 6 7 4 5 8 6 9 3 1 2 145 357 47 2 8 6 9 347 134 148 38 46 9 5 7 168 2 1348 89 278 2679 1 4 3 678 67 5

by **Cenoman** » Mon Jan 16, 2023 4:53 pm

Two steps:

Code: Select all: +---------------------+-----------------+----------------------+ | 6 g578 9-7 | 4 2 1 | a78 35-7 b389 | | 459 1 2479 | 6 3 8 | 27 457 49 | | 48 28 3 | 7 9 5 | 126-8 46 b148 | +---------------------+-----------------+----------------------+ | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | +---------------------+-----------------+----------------------+ | 15-4 f357 e47 | 2 8 6 | 9 347 134 | | d148 38 d46 | 9 5 7 | 168 2 c48-13 | | 89 f278 269-7 | 1 4 3 | 678 67 5 | +---------------------+-----------------+----------------------+

1. (7=8)r1c7 - r13c9 = (8-4)r8c9 = r8c13 - (4=7)r7c3 - r79c2 = (7)r1c2 loop => -7 r1c38, -8r3c7, -13 r8c9, -4r7c1, -7r9c3; lcls, 4 placements

Code: Select all: +--------------------+-----------------+--------------------+ | 6 78-5 9 | 4 2 1 | 78 a35 38 | | 45 1 247 | 6 3 8 | 27 457 9 | | 48 28 3 | 7 9 5 | 126 46 148 | +--------------------+-----------------+--------------------+ | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | +--------------------+-----------------+--------------------+ | 15 b57 b47 | 2 8 6 | 9 b347 134 | | 148 3 46 | 9 5 7 | 168 2 48 | | 9 278 26 | 1 4 3 | 678 67 5 | +--------------------+-----------------+--------------------+

(5=3)r1c8 - (3=475)r7c238 => -5 r1c2; ste

by **Ngisa** » Mon Jan 16, 2023 11:05 pm

Two steps

Code: Select all: +---------------------+-------------+---------------------+ | 6 578 e79 | 4 2 1 | 78 357 38-9 | | 45-9 1 247-9| 6 3 8 | 27 457 a49 | | 48 28 3 | 7 9 5 | 1268 46 148 | +---------------------+-------------+---------------------+ | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | +---------------------+-------------+---------------------+ | 145 357 d47 | 2 8 6 | 9 c347 b134 | | 148 38 46 | 9 5 7 | 168 2 b1348 | | 89 278 2679 | 1 4 3 | 678 67 5 | +---------------------+-------------+---------------------+

Step 1: (9=4)r2c9 - r78c9 = r7c8 - (4=7)r7c3 - (7=9)r1c3 => - 9r2c13,r1c9

Code: Select all: +-------------------+-------------+---------------------+ | 6 b578 9 | 4 2 1 |a78 357 g3-8 | | 45 1 247 | 6 3 8 | 27 457 9 | | 48 28 3 | 7 9 5 | 1268 46 148 | +-------------------+-------------+---------------------+ | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | +-------------------+-------------+---------------------+ | 145 c357 d47 | 2 8 6 | 9 e347 e134 | | 148 38 46 | 9 5 7 | 168 2 f1348 | | 9 c278 267 | 1 4 3 | 678 67 5 | +-------------------+-------------+---------------------+

Step 2: (8=7)r1c7 - r1c2 = r79c2 - (7=4)r7c3 - r7c89 = (4-3)r8c9 = (3)r1c9 => - 8r1c9; lclste

Clement

by **jco** » Tue Jan 17, 2023 10:18 am

Code: Select all: .-----------------------------------------------------------. | 6 578 79 | 4 2 1 |d78 357 389 | | 459 1 2479 | 6 3 8 |d27 457 49 | |B48 a28 3 | 7 9 5 |D168-2 46 148 | |-------------------+-------------------+-------------------| | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | |-------------------+-------------------+-------------------| | 145 357 47 | 2 8 6 | 9 347 134 | |B148 38 46 | 9 5 7 |C168 2 1348 | |A9(8) b278 2679 | 1 4 3 |c678 67 5 | '-----------------------------------------------------------'

1. Almost ALS W-wing

[(2=8)r3c2 - (8)r9c2 =* (8)r9c7 - (8=72)r12c7] = (8*)r9c1 - (8=41)r38c1 - (1)r8c7 = (1)r3c7 => -2 r3c7 [5 placements]
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Code: Select all: .-----------------------------------------------------------. | 6 78-5 79 | 4 2 1 |d78 d357 389 | | 45 1 479 | 6 3 8 | 2 457 49 | | 48 2 3 | 7 9 5 | 168 46 148 | |-------------------+-------------------+-------------------| | 3 6 8 | 5 1 2 | 4 9 7 | | 2 9 1 | 3 7 4 | 5 8 6 | | 7 4 5 | 8 6 9 | 3 1 2 | |-------------------+-------------------+-------------------| |b145 a357 b47 | 2 8 6 | 9 c347 134 | |b148 38 6 | 9 5 7 |c18 2 1348 | | 9 78 2 | 1 4 3 |c678 c67 5 | '-----------------------------------------------------------'

2. (5)r7c2 = (514)b7p134 - (1|4=3678)b9p2478 - (8|3=75)r1c78 => -5 r1c2; ste

by **P.O.** » Wed Jan 18, 2023 10:10 am

thank you for your answers, my solution:

Code: Select all: 148r3c9 => r1c2 <> 5 r3c9=1 - r7n1{c9 c1} - r7n5{c1 c2} r3c9=4 - c8n4{r23 r7} - r7c3{n4 n7} - c2n7{r79 r1} r3c9=8 - r1n8{c79 c2} ste.

Puzzle 90