The New Sudoku Players' Forum

by **Leren** » Mon Nov 08, 2021 8:17 am

Code: Select all: *-----------* |.3.|2..|91.| |.75|..9|2..| |..2|...|.6.| |---+---+---| |..7|5.2|..1| |..3|6.1|87.| |.1.|.7.|...| |---+---+---| |...|.3.|6..| |7..|8.6|.5.| |.69|7.5|.8.| *-----------* .3.2..91..75..92....2....6...75.2..1..36.187..1..7........3.6..7..8.6.5..697.5.8.

by **Cenoman** » Mon Nov 08, 2021 10:16 am

Code: Select all: +---------------------+--------------------+--------------------+ | 48 3 6 | 2 458 7 | 9 1 458 | | 148 7 5 | 134 6 9 | 2 34 348 | | 1489 489 2 | 134 1458 38 | 7 6 3458 | +---------------------+--------------------+--------------------+ | 6 489 7 | 5 489 2 | 34 349 1 | | 2459 2459 3 | 6 49 1 | 8 7 249 | | 2489 1 b48 | d49-3 7 a38 | 5 249 6 | +---------------------+--------------------+--------------------+ | 258 258 c18 | c19 3 4 | 6 29 7 | | 7 24 14 | 8 129 6 | 13 5 239 | | 3 6 9 | 7 12 5 | 14 8 24 | +---------------------+--------------------+--------------------+

AHS M3-Wing: (3=8)r6c6 - r6c3 = (81-9)r7c34 = (9)r6c4 => -3 r6c4; ste

Website · by **denis_berthier** » Mon Nov 08, 2021 10:25 am

.

Code: Select all: Resolution state after Singles and whips[1]: +----------------+----------------+----------------+ ! 48 3 6 ! 2 458 7 ! 9 1 458 ! ! 148 7 5 ! 134 6 9 ! 2 34 348 ! ! 1489 489 2 ! 134 1458 38 ! 7 6 3458 ! +----------------+----------------+----------------+ ! 6 489 7 ! 5 489 2 ! 34 349 1 ! ! 2459 2459 3 ! 6 49 1 ! 8 7 249 ! ! 2489 1 48 ! 349 7 38 ! 5 249 6 ! +----------------+----------------+----------------+ ! 258 258 18 ! 19 3 4 ! 6 29 7 ! ! 7 24 14 ! 8 129 6 ! 13 5 239 ! ! 3 6 9 ! 7 12 5 ! 14 8 24 ! +----------------+----------------+----------------+

The simplest two 1-step solutions:

Code: Select all: biv-chain[4]: r6c6{n3 n8} - c3n8{r6 r7} - r7n1{c3 c4} - c4n9{r7 r6} ==> r6c4≠3 stte

Code: Select all: biv-chain[4]: r6n3{c6 c4} - c4n9{r6 r7} - r7n1{c4 c3} - c3n8{r7 r6} ==> r6c6≠8 stte

by **jco** » Mon Nov 08, 2021 12:50 pm

Code: Select all: .------------------------------------------------. | 48 3 6 | 2 458 7 | 9 1 458 | | 148 7 5 |d134 6 9 | 2 34 348 | | 1489 489 2 |d134 1458 8-3| 7 6 3458 | |----------------+---------------+---------------| | 6 489 7 | 5 489 2 | 34 349 1 | | 2459 2459 3 | 6 49 1 | 8 7 249 | | 2489 1 b48 | 49-3 7 a38 | 5 249 6 | |----------------+---------------+---------------| | 258 258 c18 |d19 3 4 | 6 29 7 | | 7 24 14 | 8 129 6 | 13 5 239 | | 3 6 9 | 7 12 5 | 14 8 24 | '------------------------------------------------'

(3=8)r6c6 - r6c3 = (8-1)r7c3 = (134)r237c4 => -3 r3c6, r6c4

Edit: Corrected typos (thanks to Cenoman)

by **eleven** » Mon Nov 08, 2021 1:16 pm

Code: Select all: *---------------------------------------------------------------* | 48 3 6 | 2 458 7 | 9 1 458 | | 148 7 5 | 134 6 9 | 2 34 348 | | 1489 489 2 | 134 1458 38 | 7 6 3458 | |---------------------+--------------------+--------------------| | 6 489 7 | 5 489 2 | 34 349 1 | | #2459 #2459 3 | 6 49 1 | 8 7 *249 | | 2489 1 48 | 349 7 38 | 5 49-2 6 | |---------------------+--------------------+--------------------| | #258 #258 18 | 19 3 4 | 6 *29 7 | | 7 24 14 | 8 129 6 | 13 5 39-2 | | 3 6 9 | 7 12 5 | 14 8 4-2 | *---------------------------------------------------------------*

UR 25 r57c12: 2r5c9 = r7c8 => -2r6c8,r89c9; stte

by **RSW** » Mon Nov 08, 2021 9:49 pm

Code: Select all: +--------------+-----------------+-------------+ | 48 3 6 | 2 *45-8 7 | 9 1 458 | | 148 7 5 | 134 6 9 | 2 34 348 | | 1489 489 2 | 134 *145-8 38 | 7 6 3458 | +--------------+-----------------+-------------+ | 6 f49-8 7 | 5 a489 2 | 34 349 1 | | 2459 2459 3 | 6 a49 1 | 8 7 249 | | 2489 1 e48 |ab349 7 *3-8 | 5 249 6 | +--------------+-----------------+-------------+ | 258 258 d18 | c19 3 4 | 6 29 7 | | 7 24 14 | 8 129 6 | 13 5 239 | | 3 6 9 | 7 12 5 | 14 8 24 | +--------------+-----------------+-------------+

(8=3)b5p257 - (9)r6c4 = (9-1)r7c4 = (1-8)r7c3 = r6c3 - r4c2 = r4c5 Loop => -8r4c2 -8r13c5 -8r6c6; stte

by **shye** » Wed Nov 10, 2021 3:19 am

same as eleven

Leren's Puzzles 76