The New Sudoku Players' Forum

by **Leren** » Sun Aug 22, 2021 9:42 am

Code: Select all: *-----------* |56.|...|...| |48.|.2.|.9.| |...|6.1|5.4| |---+---+---| |...|1.8|7.6| |75.|...|...| |61.|.7.|.5.| |---+---+---| |..5|.42|16.| |..9|.63|27.| |82.|..7|9..| *-----------* 56.......48..2..9....6.15.4...1.87.675.......61..7..5...5.4216...9.6327.82...79..

by **SteveG48** » Sun Aug 22, 2021 4:16 pm

Code: Select all: *-----------------------------------------------------------* | 5 6 123 | 347 389 49 | 38 1238 127 | | 4 8 13 |c37 2 5 | 6 9 c17 | | 29 39 7 | 6 38 1 | 5 238 4 | *-------------------+-------------------+-------------------| | 29 39 4 | 1 5 8 | 7 a3-2 6 | | 7 5 238 |b234 39 6 | 348 1238 d129 | | 6 1 238 |b234 7 b49 | 348 5 ad29 | *-------------------+-------------------+-------------------| | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | *-----------------------------------------------------------*

(3=29)b6p29 - (9=243)b5p479 - (3=71)r2c49 - (1=92)r56c9 => -2 r4c8 ; stte

by **Ngisa** » Sun Aug 22, 2021 4:30 pm

Code: Select all: +-----------------+------------------+--------------------+ | 5 6 123 | 347 389 49 | 38 1238 127 | | 4 8 a13 | 37 2 5 | 6 9 7-1 | | 29 b39 7 | 6 38 1 | 5 238 4 | +-----------------+------------------+--------------------+ | 29 c39 4 | 1 5 8 | 7 d23 6 | | 7 5 238 | 234 39 6 | 348 1238 d129 | | 6 1 238 | 234 7 49 | 348 5 d29 | +-----------------+------------------+--------------------+ | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | +-----------------+------------------+--------------------+

(1=3)r2c3 - r3c2 = r4c2 - (3=1)b6p296 => - 1r2c9; stte

Clement

by **P.O.** » Sun Aug 22, 2021 6:31 pm

Code: Select all: after singles: 5 6 g×1+23 347 389 49 38 a-1238 b*127 4 8 13 37 2 5 6 9 b*17 f-29 39 7 6 389 1 5 238 4 e+29 39 4 1 5 8 7 d-23 6 7 5 238 234 39 6 348 1238 c(-129) 6 1 238 234 7 49 348 5 c(29) 3 7 5 9 4 2 1 6 8 1 4 9 8 6 3 2 7 5 8 2 6 5 1 7 9 4 3 depth: 3 candidate: 1 from end ((1 0) (1 8 3) (1 2 3 8)) ((1 0 2 0) ((1 9 3) (1 2 7)) ((2 9 3) (1 7))) ((2 1 2 32) ((5 9 6) (1 2 9)) ((6 9 6) (2 9))) ((2 2 12) (4 1 4) (2 9)) ((2 3 1) (1 3 1) (1 2 3)) ste.

by **jco** » Sun Aug 22, 2021 6:35 pm

Code: Select all: .---------------------------------------------. | 5 6 123 |c347 389 b49 | 38 1238 c17-2| | 4 8 13 | 37 2 5 | 6 9 17 | | 29 39 7 | 6 38 1 | 5 238 4 | |-------------+--------------+----------------| | 29 39 4 | 1 5 8 | 7 23 6 | | 7 5 238 | 234 39 6 | 348 1238 129 | | 6 1 238 | 234 7 a49 | 348 5 a29 | |-------------+--------------+----------------| | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | '---------------------------------------------'

(2=94)r6c96 - r1c6 = (47)r1c49 => -2 r1c9; lclste

by **Cenoman** » Sun Aug 22, 2021 8:04 pm

Code: Select all: +------------------+-------------------+---------------------+ | 5 6 a23-1 | 347 389 49 | e38 e1238 127 | | 4 8 13 | 37 2 5 | 6 9 17 | | b29 39 7 | 6 38 1 | 5 e238 4 | +------------------+-------------------+---------------------+ | c29 39 4 | 1 5 8 | 7 d23 6 | | 7 5 238 | 234 39 6 | 348 1238 129 | | 6 1 238 | 234 7 49 | 348 5 29 | +------------------+-------------------+---------------------+ | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | +------------------+-------------------+---------------------+

(2)r1c3 = r3c1 - r4c1 = r4c8 - (2=381)b3p128 => -1 r1c3; ste

by **Sudtyro2** » Wed Aug 25, 2021 3:52 pm

Code: Select all: +--------------+----------------+--------------------+ | 5 6 123* | b347 389 c49 | 38 1238* b127# | | 4 8 13 | 37 2 5 | 6 9 17 | | 29* 39 7 | 6 38 1 | 5 a238# 4 | +--------------+----------------+--------------------+ | 29* 39 4 | 1 5 8 | 7 3-2* 6 | | 7 5 238 | 234 39 6 | 348 a1238# 129 | | 6 1 238 | 234 7 d49 | 348 5 d29 | +--------------+----------------+--------------------+ | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | +--------------+----------------+--------------------+

In 2s, a 5-link oddagon(*) having three guardians(#):
(2)r35c8 == (27-4)r1c49 = r1c6 - (4=92)r6c69 => -2 r4c8; stte

SteveC

by **shye** » Mon Aug 30, 2021 9:42 am

Code: Select all: .-------------.--------------.----------------. | 5 6 123 | 347 389 49 | 38 1238 127 | | 4 8 #13 | 37 2 5 | 6 9 7-1 | | 29 39 7 | 6 38 1 | 5 238 4 | :-------------+--------------+----------------: | 29 *39 4 | 1 5 8 | 7 #23 6 | | 7 5 *238 | 234 39 6 | 348 1238 #129 | | 6 1 *238 | 234 7 49 | 348 5 #29 | :-------------+--------------+----------------: | 3 7 5 | 9 4 2 | 1 6 8 | | 1 4 9 | 8 6 3 | 2 7 5 | | 8 2 6 | 5 1 7 | 9 4 3 | '-------------'--------------'----------------'

ALS w-wing

(1=3)r2c3 - 3r56c3 = 3r4c2 - (3=291)b6p269 => -1r2c9

Website · by **denis_berthier** » Mon Aug 30, 2021 10:56 am

.

Code: Select all: Resolution state after Singles and whips[1]: +----------------+----------------+----------------+ ! 5 6 123 ! 347 389 49 ! 38 1238 127 ! ! 4 8 13 ! 37 2 5 ! 6 9 17 ! ! 29 39 7 ! 6 38 1 ! 5 238 4 ! +----------------+----------------+----------------+ ! 29 39 4 ! 1 5 8 ! 7 23 6 ! ! 7 5 238 ! 234 39 6 ! 348 1238 129 ! ! 6 1 238 ! 234 7 49 ! 348 5 29 ! +----------------+----------------+----------------+ ! 3 7 5 ! 9 4 2 ! 1 6 8 ! ! 1 4 9 ! 8 6 3 ! 2 7 5 ! ! 8 2 6 ! 5 1 7 ! 9 4 3 ! +----------------+----------------+----------------+

As usual with this kind of easy puzzles, there are lots of 1-step solutions. Here is the simplest, using a bivalue-chain[4]:

Code: Select all: biv-chain[4]: r6c9{n2 n9} - c6n9{r6 r1} - b2n4{r1c6 r1c4} - r1n7{c4 c9} ==> r1c9≠2 stte

[Edit:] after seeing sudtyro2's solution, I tried oddagons and I find a few of them:

Code: Select all: oddagon[5]: r1n2{c3 c8},c8n2{r1 r4},r4n2{c8 c1},c1n2{r4 r3},b1n2{r3c1 r1c3} ==> r1c8≠2 oddagon[5]: r3n2{c1 c8},c8n2{r3 r5},b6n2{r5c8 r4c8},r4n2{c8 c1},c1n2{r4 r3} ==> r5c8≠2 oddagon[7]: r1n1{c3 c8},b3n1{r1c8 r2c9},r2c9{n1 n7},c9n7{r2 r1},r1c9{n7 n2},r1n2{c9 c3},r1c3{n2 n1} ==> r1c3≠1 stte

but I don't find any single step-solution with oddagons.

Leren's Puzzles 62