The New Sudoku Players' Forum

by **Leren** » Tue Aug 03, 2021 7:08 am

Code: Select all: *-----------* |.1.|...|2..| |..5|...|...| |...|..5|4.9| |---+---+---| |.3.|18.|.9.| |.68|5..|...| |..1|..2|5..| |---+---+---| |4.9|8..|15.| |3..|...|...| |...|...|624| *-----------* .1....2....5...........54.9.3.18..9..685.......1..25..4.98..15.3..............624

by **RSW** » Tue Aug 03, 2021 8:27 am

Code: Select all: +-----------+-----------------------+-------------+ | 69 1 34 | 34679 34679 8 | 2 367 5 | | 269 49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 23 | 236 1236 5 | 4 136 9 | +-----------+-----------------------+-------------+ | 5 3 24 | 1 8 d46 | 7 9 *2-6 | | 279 6 8 | 5 c479 c479 | 3 b14 12 | | 79 49 1 | 34679 34679 2 | 5 a468 a68 | +-----------+-----------------------+-------------+ | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | +-----------+-----------------------+-------------+

(6=48)r6c89 - (4)r5c8 = (4)r5c56 - (4=6)r4c6 => -6r4c9; stte

by **Ngisa** » Tue Aug 03, 2021 10:38 am

Code: Select all: +------------------+-----------------------------+------------------+ | 69 1 b34 | 34679 34679 8 | 2 367 5 | | 269 b49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 b23 | 236 1236 5 | 4 136 9 | +------------------+-----------------------------+------------------+ | 5 3 c24 | 1 8 46 | 7 9 d26 | | 279 6 8 | 5 479 479 | 3 d14 d12 | | 79 a49 1 | 34679 34679 2 | 5 68-4 68 | +------------------+-----------------------------+------------------+ | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | +------------------+-----------------------------+------------------+

(4=9)r6c2 – (9=2)b1p359 – r4c3 = (2=4)b6p365 => - 4r6c8; stte

Clement

by **SteveG48** » Tue Aug 03, 2021 1:43 pm

Code: Select all: *--------------------------------------------------------------------------------------* | 69 1 34 | 34679 34679 8 | 2 367 5 | | 269 49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 23 | 236 1236 5 | 4 136 9 | *----------------------------+----------------------------+----------------------------| | 5 3 a4-2 | 1 8 b46 | 7 9 26 | |c279 6 8 | 5 c479 c479 | 3 14 12 | | 79 49 1 | 34679 34679 2 | 5 468 68 | *----------------------------+----------------------------+----------------------------| | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | *--------------------------------------------------------------------------------------*

4r4c3 = r4c6 - (4=792)r5c156 => -4 r4c3 ; stte

by **jco** » Tue Aug 03, 2021 2:19 pm

Code: Select all: .------------------------------------------------------. | 69 1 34 | 34679 34679 8 | 2 367 5 | | 269 49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 23 | 236 1236 5 | 4 136 9 | |-------------+-------------------------+--------------| | 5 3 a24 | 1 8 46 | 7 9 b26 | | 279 6 8 | 5 479 479 | 3 c14 c12 | | 79 9-4 1 | 34679 34679 2 | 5 c468 68 | |-------------+-------------------------+--------------| | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | '------------------------------------------------------'

(4=2)r4c3 - (2)r4c9 = (214)b6p658 => -4 r6c2; ste

by **rjamil** » Tue Aug 03, 2021 3:11 pm

Code: Select all: +-------------+-------------------------+--------------+ | 69 1 34 | 34679 34679 8 | 2 367 5 | | 269 49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 23 | 236 1236 5 | 4 136 9 | +-------------+-------------------------+--------------+ | 5 3 24 | 1 8 *46 | 7 9 *26 | | 279 6 8 | 5 79-4 79-4 | 3 *14 *12 | | 79 49 1 | 34679 34679 2 | 5 468 68 | +-------------+-------------------------+--------------+ | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | +-------------+-------------------------+--------------+

WXYZ-Wing: 1246 @ r4c69 r5c89 => -4 @ r5c56; stte

::: OR :::

Code: Select all: +-------------+-------------------------+--------------+ | 69 1 34 | 34679 34679 8 | 2 367 5 | | 269 49 5 | 234679 1234679 134679 | 8 1367 167 | | 8 7 23 | 236 1236 5 | 4 136 9 | +-------------+-------------------------+--------------+ | 5 3 *24 | 1 8 46 | 7 9 *26 | | 279 6 8 | 5 479 479 | 3 14 12 | | 79 9-4 1 | 34679 34679 2 | 5 *468 *68 | +-------------+-------------------------+--------------+ | 4 2 9 | 8 67 67 | 1 5 3 | | 3 5 6 | 24 124 14 | 9 78 78 | | 1 8 7 | 39 5 39 | 6 2 4 | +-------------+-------------------------+--------------+

WXYZ-Wing: 2468 @ r4c39 r6c89 => -4 @ r6c2; stte

R. Jamil

by **P.O.** » Tue Aug 03, 2021 3:33 pm

Code: Select all: after singles: 69 1 34 34679 34679 8 2 367 5 269 49 5 234679 1234679 134679 8 1367 167 8 7 23 236 1236 5 4 136 9 5 3 24 1 8 c-4+6 7 9 d+2-6 279 6 8 5 b*479 b*479 3 a×1-4 d+1-2 79 49 1 34679 34679 2 5 468 68 4 2 9 8 67 67 1 5 3 3 5 6 247 1247 147 9 78 78 1 8 7 39 5 39 6 2 4 depth: 2 candidate: 1 from start ((4 0) (5 8 6) (1 4)) if R5C8 is not 4 ((4 0 1 0) ((5 5 5) (4 7 9)) ((5 6 5) (4 7 9))) one of R5C5 or R5C6 is 4 ((6 1 20) (4 6 5) (4 6)) R4C6 is 6 ((1 2 22) (5 9 6) (1 2)) R5C9 is 1 from a pair ste.

by **pjb** » Wed Aug 04, 2021 12:07 am

Code: Select all: 69 1 34 | 34679 34679 8 | 2 367 5 269 49 5 | 234679 1234679134679 | 8 1367 167 8 7 23 | 236 1236 5 | 4 136 9 ------------------------+----------------------+--------------------- 5 3 4-2 | 1 8 a46 | 7 9 a26 b279 6 8 | 5 b479 b479 | 3 14 1-2 79 49 1 | 34679 34679 2 | 5 468 68 ------------------------+----------------------+--------------------- 4 2 9 | 8 67 67 | 1 5 3 3 5 6 | 24 124 14 | 9 78 78 1 8 7 | 39 5 39 | 6 2 4

(2=4)r4c69 - (4=2)r5c156 => -2 r4c3, -2 r5c9; stte

Phil

Website · by **denis_berthier** » Wed Aug 04, 2021 2:16 pm

.

Code: Select all: Resolution state after Singles and whips[1]: +-------------------------+-------------------------+-------------------------+ ! 69 1 34 ! 34679 34679 8 ! 2 367 5 ! ! 269 49 5 ! 234679 1234679 134679 ! 8 1367 167 ! ! 8 7 23 ! 236 1236 5 ! 4 136 9 ! +-------------------------+-------------------------+-------------------------+ ! 5 3 24 ! 1 8 46 ! 7 9 26 ! ! 279 6 8 ! 5 479 479 ! 3 14 12 ! ! 79 49 1 ! 34679 34679 2 ! 5 468 68 ! +-------------------------+-------------------------+-------------------------+ ! 4 2 9 ! 8 67 67 ! 1 5 3 ! ! 3 5 6 ! 24 124 14 ! 9 78 78 ! ! 1 8 7 ! 39 5 39 ! 6 2 4 ! +-------------------------+-------------------------+-------------------------+

1) simplest-first solution:
finned-x-wing-in-rows: n4{r4 r1}{c3 c6} ==> r2c6 ≠ 4
biv-chain[4]: r4c3{n4 n2} - b6n2{r4c9 r5c9} - b6n1{r5c9 r5c8} - b6n4{r5c8 r6c8} ==> r6c2 ≠ 4

2) simplest 1-step solutions: using patterns no more complex than in the simplest-first solution

Code: Select all: biv-chain-bn[4]: b4n4{r4c3 r6c2} - b6n4{r6c8 r5c8} - b6n1{r5c8 r5c9} - b6n2{r5c9 r4c9} ==> r4c3 ≠ 2 stte

OR:

biv-chain-bn[4]: b4n2{r5c1 r4c3} - b4n4{r4c3 r6c2} - b6n4{r6c8 r5c8} - b6n1{r5c8 r5c9} ==> r5c9 ≠ 2
stte

Code: Select all: biv-chain[4]: r5c9{n1 n2} - b4n2{r5c1 r4c3} - b4n4{r4c3 r6c2} - b6n4{r6c8 r5c8} ==> r5c8 ≠ 1 stte

OR:

Code: Select all: biv-chain[4]: r4c3{n4 n2} - b6n2{r4c9 r5c9} - b6n1{r5c9 r5c8} - b6n4{r5c8 r6c8} ==> r6c2 ≠ 4 stte

(same chain as in the simplest-first solution)

OR:

Code: Select all: biv-chain[4]: r5c8{n4 n1} - r5c9{n1 n2} - b4n2{r5c1 r4c3} - b4n4{r4c3 r6c2} ==> r6c8 ≠ 4 stte

The New Sudoku Players' Forum

Leren's Puzzles 59

Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59

Re: Leren's Puzzles 59