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by **Leren** » Mon Jul 05, 2021 9:15 am

Code: Select all: *-----------* |...|.6.|..8| |3..|1..|.2.| |.86|5..|.1.| |---+---+---| |918|45.|.62| |.73|..6|1..| |462|91.|.75| |---+---+---| |2..|6..|.9.| |.95|2..|.8.| |...|.9.|..6| *-----------* ....6...83..1...2..865...1.91845..62.73..61..46291..752..6...9..952...8.....9...6

by **jco** » Mon Jul 05, 2021 12:38 pm

Code: Select all: .-------------------------------------------. | 1 2 49 |d37 6 49 |d57 35 8 | | 3 5 49 | 1 478 489 | 6 2 47 | | 7 8 6 | 5 c34 2 | 9 1 34 | |-----------+----------------+--------------| | 9 1 8 | 4 5 7 | 3 6 2 | | 5 7 3 | 8 2 6 | 1 4 9 | | 4 6 2 | 9 1 3 | 8 7 5 | |-----------+----------------+--------------| | 2 34 17 | 6 3478 1458 | 457 9 137 | | 6 9 5 | 2 b347 a1-4 |e47 8 b137 | | 8 34 17 | 37 9 145 | 2 35 6 | '-------------------------------------------'

(1)r8c6 = (13)r8c95 - (3)r3c5 = (37)r1c47 - (7=4)r8c7 => -4 r8c6; ste

by **Ngisa** » Mon Jul 05, 2021 12:50 pm

Code: Select all: +---------------+---------------------+------------------+ | 1 2 49 |e37 6 49 | 57 35 8 | | 3 5 49 | 1 478 489 | 6 2 47 | | 7 8 6 | 5 4-3 2 | 9 1 34 | +---------------+---------------------+------------------+ | 9 1 8 | 4 5 7 | 3 6 2 | | 5 7 3 | 8 2 6 | 1 4 9 | | 4 6 2 | 9 1 3 | 8 7 5 | +---------------+---------------------+------------------+ | 2 34 17 | 6 3478 1458 | 457 9 137 | | 6 9 5 | 2 a347 a14 |a47 8 137 | | 8 34 c17 |d7-3 9 b145 | 2 35 6 | +---------------+---------------------+------------------+

(3=1)r8c576 - r9c6 = (1-7)r9c3 = r9c4 - (7=3)r1c4 => - 3r3c5,r9c4; stte

Clement

by **P.O.** » Mon Jul 05, 2021 6:30 pm

Code: Select all: after singles: 1 2 49 a-37 6 49 457 35 8 3 5 49 1 478 489 6 2 47 7 8 6 5 b+34 2 9 1 34 9 1 8 4 5 7 3 6 2 5 7 3 8 2 6 1 4 9 4 6 2 9 1 3 8 7 5 2 34 147 6 3478 1458 457 9 1347 6 9 5 2 c-3+(47) c+1-4 c+(47) 8 1347 8 d+(34) 147 ×37 9 d-1+(45) 2 d+(35) 6 depth: 2 candidate: 3 from cell (((9 4 8) (3 7))) ((3 0) (1 4 2) (3 7)) if R1C4 is 3 else ((3 0) (3 5 2) (3 4)) R3C5 is 3 ((1 1 111) (8 6 8) (1 4)) R8C6 is 1 from a triplet ((3 2 1 221) ((9 2 7) (3 4)) ((9 6 8) (1 4 5)) ((9 8 9) (3 5))) a triplet one is 3 ste.

by **pjb** » Mon Jul 05, 2021 11:32 pm

Code: Select all: 1 2 49 | 37 6 49 | 57 35 8 3 5 49 | 1 478 489 | 6 2 47 7 8 6 | 5 34 2 | 9 1 34 ------------------------+----------------------+--------------------- 9 1 8 | 4 5 7 | 3 6 2 5 7 3 | 8 2 6 | 1 4 9 4 6 2 | 9 1 3 | 8 7 5 ------------------------+----------------------+--------------------- 2 34 17 | 6 3478 1458 | 457 9 137 6 9 5 | 2 b347 a14 |b47 8 137 8 34 d17 |c37 9 45-1 | 2 35 6

(1=4)r8c6 - (4=3)r8c57 - (3=7)r9c4 - (7=1)r9c3 => -1 r9c6; stte

Phil

Website · by **denis_berthier** » Tue Jul 06, 2021 3:48 am

.
(find-sudoku-1-steppers-wrt-W1 "....6...83..1...2..865...1.91845..62.73..61..46291..752..6...9..952...8.....9...6")

Code: Select all: Resolution state after Singles and whips[1]: +----------------+----------------+----------------+ ! 1 2 49 ! 37 6 49 ! 457 35 8 ! ! 3 5 49 ! 1 478 489 ! 6 2 47 ! ! 7 8 6 ! 5 34 2 ! 9 1 34 ! +----------------+----------------+----------------+ ! 9 1 8 ! 4 5 7 ! 3 6 2 ! ! 5 7 3 ! 8 2 6 ! 1 4 9 ! ! 4 6 2 ! 9 1 3 ! 8 7 5 ! +----------------+----------------+----------------+ ! 2 34 17 ! 6 3478 1458 ! 457 9 1347 ! ! 6 9 5 ! 2 347 14 ! 47 8 1347 ! ! 8 34 17 ! 37 9 145 ! 2 35 6 ! +----------------+----------------+----------------+

The simplest 1-step solutions are:

Code: Select all: biv-chain[4]: r9c3{n1 n7} - r9c4{n7 n3} - r8n3{c5 c9} - b9n1{r8c9 r7c9} ==> r7c3 ≠ 1 stte

Code: Select all: biv-chain[4]: r7c3{n7 n1} - b9n1{r7c9 r8c9} - r8n3{c9 c5} - r9c4{n3 n7} ==> r9c3 ≠ 7, r7c5 ≠ 7 stte

Code: Select all: biv-chain-rn[4]: r8n3{c5 c9} - r8n1{c9 c6} - r9n1{c6 c3} - r9n7{c3 c4} ==> r9c4 ≠ 3, r8c5 ≠ 7 stte

Code: Select all: biv-chain[4]: r9c3{n1 n7} - r9c4{n7 n3} - r8n3{c5 c9} - r8n1{c9 c6} ==> r9c6 ≠ 1 stte

by **SteveG48** » Wed Jul 07, 2021 1:38 am

Code: Select all: *------------------------------------------------------------* | 1 2 49 | 3-7 6 49 |d57 35 8 | | 3 5 49 | 1 478 489 | 6 2 c47 | | 7 8 6 | 5 34 2 | 9 1 34 | *-------------------+--------------------+-------------------| | 9 1 8 | 4 5 7 | 3 6 2 | | 5 7 3 | 8 2 6 | 1 4 9 | | 4 6 2 | 9 1 3 | 8 7 5 | *-------------------+--------------------+-------------------| | 2 b34 b17 | 6 3478 1458 | 457 9 b137 | | 6 9 5 | 2 347 14 | 47 8 137 | | 8 a34 c17 |ad37 9 145 | 2 35 6 | *------------------------------------------------------------*

(7=34)r9c24 - (4=137)r7c239 - (7r9c3)&(7r2c9) = 7r1c7,r9c4 => -7 r1c4 ; stte

by **RSW** » Wed Jul 07, 2021 3:22 am

Code: Select all: +----------+--------------+------------+ | 1 2 49 |c37 6 49 | 57 35 8 | | 3 5 49 | 1 478 489 | 6 2 47 | | 7 8 6 | 5 b34 2 | 9 1 a34 | +----------+--------------+------------+ | 9 1 8 | 4 5 7 | 3 6 2 | | 5 7 3 | 8 2 6 | 1 4 9 | | 4 6 2 | 9 1 3 | 8 7 5 | +----------+--------------+------------+ | 2 34 f17 | 6 3478 1458 | 457 9 g137 | | 6 9 5 | 2 347 14 | 47 8 *17-3| | 8 34 e17 |d37 9 145 | 2 35 6 | +----------+--------------+------------+

Not very elegant, but it was the shortest one stepper I could find.
(3)r3c9 = r3c5 - r1c4 = (3-7)r9c4 = r9c3 - r7c3 = (7-1)r7c9 = (1)r8c9 => -3r8c9; ste

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