The New Sudoku Players' Forum

by **Leren** » Mon Jun 28, 2021 8:53 am

Code: Select all: *-----------* |.35|.8.|4..| |.8.|9..|..6| |62.|..1|.5.| |---+---+---| |2.3|..7|..8| |8.9|3..|.4.| |...|894|123| |---+---+---| |36.|.4.|7..| |.7.|1..|..4| |.91|..3|.8.| *-----------* .35.8.4...8.9....662...1.5.2.3..7..88.93...4....89412336..4.7...7.1....4.91..3.8.

by **pjb** » Mon Jun 28, 2021 9:53 am

Code: Select all: 9 3 5 | 267 8 26 | 4 17 12 1 8 4 | 9 257 25 | 23 37 6 6 2 7 | 4 3 1 | 8 5 9 ------------------------+----------------------+--------------------- 2 4 3 | 56 1 7 |b569 a69 8 8 1 9 | 3 256 256 | 56 4 7 7 5 6 | 8 9 4 | 1 2 3 ------------------------+----------------------+--------------------- 3 6 28 | 25 4 89 | 7 19 125 5 7 28 | 1 26 89 |c2369 d39-6 4 4 9 1 | 2567 2567 3 | 26 8 25

(6=9)r4c8 - (9)r4c7 = (9-3)r8c7 = (3-6)r8c8 => -6 r8c8; stte

Phil

Website · by **denis_berthier** » Mon Jun 28, 2021 10:21 am

.

Code: Select all: Resolution state after Singles and whips[1]: +----------------+----------------+----------------+ ! 9 3 5 ! 267 8 26 ! 4 17 12 ! ! 1 8 4 ! 9 257 25 ! 23 37 6 ! ! 6 2 7 ! 4 3 1 ! 8 5 9 ! +----------------+----------------+----------------+ ! 2 4 3 ! 56 1 7 ! 569 69 8 ! ! 8 1 9 ! 3 256 256 ! 56 4 7 ! ! 7 5 6 ! 8 9 4 ! 1 2 3 ! +----------------+----------------+----------------+ ! 3 6 28 ! 25 4 2589 ! 7 19 125 ! ! 5 7 28 ! 1 26 2689 ! 2369 369 4 ! ! 4 9 1 ! 2567 2567 3 ! 26 8 25 ! +----------------+----------------+----------------+

3 elementary 1-step solutions:

Code: Select all: biv-chain[3]: c7n9{r4 r8} - b9n3{r8c7 r8c8} - c8n6{r8 r4} ==> r4c8 ≠ 9, r4c7 ≠ 6 stte

OR:

Code: Select all: biv-chain[3]: r4n9{c7 c8} - c8n6{r4 r8} - b9n3{r8c8 r8c7} ==> r8c7 ≠ 9 stte

OR:

Code: Select all: biv-chain[3]: r4c8{n6 n9} - c7n9{r4 r8} - b9n3{r8c7 r8c8} ==> r8c8 ≠ 6 stte

by **Ngisa** » Mon Jun 28, 2021 2:15 pm

Code: Select all: +--------------+---------------------+--------------------+ | 9 3 5 | 267 8 26 | 4 17 12 | | 1 8 4 | 9 257 25 |a23 b37 6 | | 6 2 7 | 4 3 1 | 8 5 9 | +--------------+---------------------+--------------------+ | 2 4 3 | 56 1 7 | 59-6 d69 8 | | 8 1 9 | 3 256 256 | 5-6 4 7 | | 7 5 6 | 8 9 4 | 1 2 3 | +--------------+---------------------+--------------------+ | 3 6 28 | 25 4 89 | 7 19 125 | | 5 7 28 | 1 26 89 | 2369 c39-6 4 | | 4 9 1 | 2567 2567 3 |a26 8 25 | +--------------+---------------------+--------------------+

(6=3)r92c7 - (3)r2c8 = (3-6)r8c8 = (6)r4c8 => -6r45c7,r8c8; stte

Clement

by **P.O.** » Mon Jun 28, 2021 3:17 pm

Code: Select all: 9 3 5 d-2-6+7 8 d-2+6 4 17 d-1+2 1 8 4 9 257 25 23 37 6 6 2 7 4 3 1 8 5 9 2 4 3 5x6 1 7 b569 a-69 8 8 1 9 3 256 256 b56 4 7 7 5 6 8 9 4 1 2 3 3 6 28 25 4 2589 7 19 c+1-(25) 5 7 28 1 26 2689 2369 369 4 4 9 1 e-(25)+6-7 2567 3 ec+(25)-6 8 ec+(25) after singles. depth: 3 candidate: 6 from cell (((4 4 5) (5 6))) ((6 0) (4 8 6) (6 9)) if 6 else if not 6 ((6 0 2 0) ((4 7 6) (5 6 9)) ((5 7 6) (5 6))) one of them is 6 ((1 1 153) (7 9 9) (1 2 5)) a triplet split into a pair and a single ((7 2 111) (1 4 2) (2 6 7)) a triplet split into 3 singles ((6 3 111) (9 4 8) (2 5 6 7)) a triplet split into a pair and a single due to prior elimination ste.

by **jco** » Mon Jun 28, 2021 3:35 pm

Code: Select all: .---------------------------------------------. | 9 3 5 | 267 8 26 | 4 17 12 | | 1 8 4 | 9 257 25 | 23 37 6 | | 6 2 7 | 4 3 1 | 8 5 9 | |----------+-----------------+----------------| | 2 4 3 | 56 1 7 | 569 c6-9 8 | | 8 1 9 | 3 256 256 | 56 4 7 | | 7 5 6 | 8 9 4 | 1 2 3 | |----------+-----------------+----------------| | 3 6 28 | 25 4 89 | 7 a19 125 | | 5 7 28 | 1 26 89 |b2369 b369 4 | | 4 9 1 | 2567 2567 3 | 26 8 25 | '---------------------------------------------'

(9)r7c8 = (9-36)r78c8 = (6)r4c8 => -9 r4c8; ste

by **rjamil** » Mon Jun 28, 2021 3:54 pm

Code: Select all: +----------+-----------------+-------------------+ | 9 3 5 | 267 8 26 | 4 17 12 | | 1 8 4 | 9 257 25 | 23 37 6 | | 6 2 7 | 4 3 1 | 8 5 9 | +----------+-----------------+-------------------+ | 2 4 3 | 56 1 7 | (9-6)-5 (6)-9 8 | | 8 1 9 | 3 256 256 | 56 4 7 | | 7 5 6 | 8 9 4 | 1 2 3 | +----------+-----------------+-------------------+ | 3 6 28 | 25 4 89 | 7 19 125 | | 5 7 28 | 1 26 89 | 26(3-9) (36)9 4 | | 4 9 1 | 2567 2567 3 | 26 8 25 | +----------+-----------------+-------------------+

Strong Wing: SL 6 @ r48c8 3 @ r8c78 9 @ r4c78 9 @ r48c7 => -56 @ r4c7 => -9 @ r4c8 r8c7; stte

R. Jamil

by **SteveG48** » Mon Jun 28, 2021 4:18 pm

Code: Select all: *-----------------------------------------------------------* | 9 3 5 | 267 8 26 | 4 17 12 | | 1 8 4 | 9 257 25 | 23 37 6 | | 6 2 7 | 4 3 1 | 8 5 9 | *-------------------+-------------------+-------------------| | 2 4 3 | 56 1 7 | 59-6 a69 8 | | 8 1 9 | 3 256 256 | 5-6 4 7 | | 7 5 6 | 8 9 4 | 1 2 3 | *-------------------+-------------------+-------------------| | 3 6 28 | 25 4 89 | 7 b19 b125 | | 5 7 28 | 1 26 89 | 2369 39-6 4 | | 4 9 1 | 2567 2567 3 |b26 8 b25 | *-----------------------------------------------------------*

(6=9)r4c8 - (9=1256)b9p2379 => -6 r45c7,r8c8 ; stte

by **RSW** » Mon Jun 28, 2021 8:42 pm

Code: Select all: +--------+---------------+----------------+ | 9 3 5 | 267 8 26 | 4 17 12 | | 1 8 4 | 9 257 25 |b23 37 6 | | 6 2 7 | 4 3 1 | 8 5 9 | +--------+---------------+----------------+ | 2 4 3 | 56 1 7 | 569 69 8 | | 8 1 9 | 3 256 256 | 56 4 7 | | 7 5 6 | 8 9 4 | 1 2 3 | +--------+---------------+----------------+ | 3 6 28 | 25 4 89 | 7 19 125 | | 5 7 28 | 1 26 89 |c2369 d39-6 4 | | 4 9 1 | 2567 2567 3 |a26 8 25 | +--------+---------------+----------------+

(6=2)r9c7-(2=3)r2c7-r8c7=(3)r8c8 => -6r8c8; ste

Leren's Puzzles 46