The New Sudoku Players' Forum

by **Leren** » Sat Jul 03, 2021 8:32 am

Code: Select all: *-----------* |.8.|..7|...| |...|4..|.1.| |.59|...|8..| |---+---+---| |...|...|673| |..3|.6.|..1| |.1.|2..|.9.| |---+---+---| |9..|.8.|...| |..4|...|..6| |...|15.|3..| *-----------* .8...7......4...1..59...8........673..3.6...1.1.2...9.9...8......4.....6...15.3..

by **jco** » Sat Jul 03, 2021 12:33 pm

Code: Select all: .--------------------------------------------------. | 1234 8 12 | 5 39 7 | 249 6 24 | | 2367 267 267 | 4 39 8 | 2579 1 257 | | 47 5 9 | 6 12 12 | 8 3 47 | |-----------------+-------------+------------------| |c258 49 c258 | 89 b14 b159 | 6 7 3 | |d8-7 49 3 |a78 6 59 | 245 245 1 | | 567 1 567 | 2 b47 3 | 45 9 8 | |-----------------+-------------+------------------| | 9 26 15 | 3 8 46 | 12457 245 2457 | | 15 3 4 | 79 27 29 | 15 8 6 | | 2678 267 2678 | 1 5 46 | 3 24 9 | '--------------------------------------------------'

(7)r5c4 = (7-415)b5p238 = (5-28)r4c13 = (8)r5c1 => -7 r1c4; ste

by **rjamil** » Sat Jul 03, 2021 1:01 pm

Code: Select all: +-----------------+-------------+------------------+ | 1234 8 12 | 5 39 7 | 249 6 24 | | 2367 267 267 | 4 39 8 | 2579 1 257 | | 47 5 9 | 6 12 12 | 8 3 47 | +-----------------+-------------+------------------+ |*258 49 *258 |*89 14 19-5| 6 7 3 | | 78 49 3 | 78 6 *59 | 245 245 1 | | 567 1 567 | 2 47 3 | 45 9 8 | +-----------------+-------------+------------------+ | 9 26 15 | 3 8 46 | 12457 245 2457 | | 15 3 4 | 79 27 29 | 15 8 6 | | 2678 267 2678 | 1 5 46 | 3 24 9 | +-----------------+-------------+------------------+

WXYZ-Wing: 2589 @ r4c134 r5c6 => -5 @ r4c6; stte

R. Jamil

by **P.O.** » Sat Jul 03, 2021 6:59 pm

Code: Select all: after singles and intersections: 1234 8 12 5 1239 7 249 6 249 2367 2367 267 4 239 8 2579 1 2579 1247 5 9 6 12 12 8 3 247 258 a2-49 258 89 b1+4 159 6 7 3 578 ×479 3 789 6 h+5-9 h+(24)-5 h+(24)-5-8 1 5678 1 5678 2 c-4+7 3 45 9 458 9 2367 12567 37 8 246 12457 245 2457 123578 237 4 379 d+2-7 d-2+9 e1257-9 g25*8 6 2678 267 2678 1 5 2469 3 g24*8 f247-8+9 depth: 5 candidate: 4 from cell (((5 2 4) (4 7 9))) ((4 0) (4 2 4) (2 4 9)) if R4C2 is 4 else ((4 0) (4 5 5) (1 4)) R4C5 is 4 ((7 1 9) (6 5 5) (4 7)) R6C5 is 7 ((9 2 21) (8 6 8) (2 9)) R8C6 is 9 from a pair split in 2 singles ((9 3 1) (9 9 9) (2 4 7 8 9)) R9C9 is 9 ((8 4 2 11) ((8 8 9) (2 5 8)) ((9 8 9) (2 4 8))) one of R8C8 or R9C8 is 8 ((4 5 1 311) ((5 7 6) (2 4 5)) ((5 8 6) (2 4 5 8))) one of R5C7 or R5C8 is 4 from a pair from a triplet split in a single and a pair ste.

by **RSW** » Sat Jul 03, 2021 7:19 pm

Code: Select all: +---------------+------------+----------------+ | 1234 8 12 | 5 39 7 | 249 6 24 | | 2367 267 267 | 4 39 8 | 2579 1 257 | | 47 5 9 | 6 12 12 | 8 3 47 | +---------------+------------+----------------+ | 258 *4-9 258 |a89 d14 159 | 6 7 3 | | 78 49 3 |b78 6 59 | 245 245 1 | | 567 1 567 | 2 c47 3 | 45 9 8 | +---------------+------------+----------------+ | 9 26 15 | 3 8 46 | 12457 245 2457 | | 15 3 4 | 79 27 29 | 15 8 6 | | 2678 267 2678 | 1 5 46 | 3 24 9 | +---------------+------------+----------------+

(9=8)r4c4 - (8=7)r5c4 - (7=4)r6c5 - r4c5 = (4)r4c2 => -9r4c2; ste

by **pjb** » Sun Jul 04, 2021 11:07 am

Code: Select all: 1234 8 12 | 5 39 7 | 249 6 24 2367 267 267 | 4 39 8 | 2579 1 257 47 5 9 | 6 12 12 | 8 3 47 ------------------------+----------------------+--------------------- 258 a49 258 | 8-9 b14 b159 | 6 7 3 78 49 3 | 78 6 b59 | 245 245 1 567 1 567 | 2 47 3 | 45 9 8 ------------------------+----------------------+--------------------- 9 26 15 | 3 8 46 | 12457 245 2457 15 3 4 | 79 27 29 | 15 8 6 2678 267 2678 | 1 5 46 | 3 24 9

(9=4)r4c2 - (4=9)r4c56, r5c6 => -9 r4c4; stte

Phil

by **Ngisa** » Sun Jul 04, 2021 5:56 pm

Code: Select all: +---------------------+------------------+---------------------+ | 1234 8 12 | 5 39 7 | 249 6 24 | | 2367 267 267 | 4 39 8 | 2579 1 257 | | 47 5 9 | 6 12 12 | 8 3 47 | +---------------------+------------------+---------------------+ | 258 b49 258 | c89 14 159 | 6 7 3 | |e578 b49 3 |fd789 6 59 |a245 a245 1 | | 567 1 567 | 2 g47 3 | 5-4 9 8 | +---------------------+------------------+---------------------+ | 9 26 15 | 3 8 46 | 12457 245 2457| | 15 3 4 | 79 27 29 | 15 8 6 | | 2678 267 2678 | 1 5 46 | 3 24 9 | +---------------------+------------------+---------------------+

(4)r5c78 = (49)54c2 - (9=8)r4c4 - r5c4 = (8-7)r5c1 = r5c4 - (7=4)r6c5 => - 4r6c7; lclste

Clement

Website · by **denis_berthier** » Tue Jul 06, 2021 3:57 am

.
(find-sudoku-1-steppers-wrt-W1 ".8...7......4...1..59...8........673..3.6...1.1.2...9.9...8......4.....6...15.3..")

Code: Select all: Resolution state after Singles and whips[1]: +----------------------+----------------------+----------------------+ ! 1234 8 12 ! 5 1239 7 ! 249 6 249 ! ! 2367 2367 267 ! 4 239 8 ! 2579 1 2579 ! ! 1247 5 9 ! 6 12 12 ! 8 3 247 ! +----------------------+----------------------+----------------------+ ! 258 249 258 ! 89 14 159 ! 6 7 3 ! ! 578 479 3 ! 789 6 59 ! 245 2458 1 ! ! 5678 1 5678 ! 2 47 3 ! 45 9 458 ! +----------------------+----------------------+----------------------+ ! 9 2367 12567 ! 37 8 246 ! 12457 245 2457 ! ! 123578 237 4 ! 379 27 29 ! 12579 258 6 ! ! 2678 267 2678 ! 1 5 2469 ! 3 248 24789 ! +----------------------+----------------------+----------------------+

Without hiding the application of Subset rules, there is no simple 1-step solution.
The "simplest" really 1-step solutions are:

Code: Select all: whip[8]: r4n4{c2 c5} - r4n1{c5 c6} - c6n5{r4 r5} - r5c7{n5 n2} - r5c8{n2 n8} - r8n8{c8 c1} - b7n5{r8c1 r7c3} - b7n1{r7c3 .} ==> r5c2 ≠ 4 stte

Code: Select all: whip[8]: r5c6{n9 n5} - r4c6{n5 n1} - r4c5{n1 n4} - c2n4{r4 r5} - r5c7{n4 n2} - r5c8{n2 n8} - c9n8{r6 r9} - r9n9{c9 .} ==> r8c6 ≠ 9 stte

Code: Select all: g-whip[7]: r8c5{n7 n2} - r8c6{n2 n9} - r9n9{c6 c9} - c9n8{r9 r6} - r6n4{c9 c7} - b6n5{r6c7 r5c789} - r5c6{n5 .} ==> r6c5 ≠ 7 stte

Leren's Puzzles 49