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by **SteveG48** » Sat Oct 23, 2021 11:43 pm

Code: Select all: *-----------* |.9.|3..|.2.| |.8.|9..|.51| |5..|...|...| |---+---+---| |..7|..1|...| |..5|2.9|36.| |...|...|5..| |---+---+---| |...|...|..3| |12.|..6|.9.| |.76|..3|...| *-----------*

by **Leren** » Sun Oct 24, 2021 12:06 am

Code: Select all: *-------------------------------------------* | 7 9 a14 | 3 b148 5 |a48 2 6 | | 3 8 24 | 9 6 24 | 7 5 1 | | 5 6 124 | 1478 12478 78 | 9 3 48 | |------------+----------------+-------------| | 6 34 7 | 458 b3458 1 | 2 48 9 | | 8 1 5 | 2 b47 9 | 3 6 47 | | 2 34 9 | 6 b3478 78 | 5 1 478 | |------------+----------------+-------------| | 49 5 8 | 14 1249 24 | 6 7 3 | | 1 2 3 | 478 b478 6 | 4-8 9 5 | |c49 7 6 | 458 b4589 3 | 1 c48 2 | *-------------------------------------------*

ALS XY Wing: (8=1) r1c37 - (1=9) r145689c5 - (9=8) r9c18 => - 8 r8c7; stte

Leren

by **RSW** » Sun Oct 24, 2021 1:00 am

Code: Select all: +-----------+---------------+------------+ | 7 9 14 | 3 c148 5 |b48 2 6 | | 3 8 24 | 9 6 24 | 7 5 1 | | 5 6 124 | 1478 12478 78 | 9 3 48 | +-----------+---------------+------------+ | 6 34 7 | 458 3458 1 | 2 48 9 | | 8 1 5 | 2 47 9 | 3 6 47 | | 2 34 9 | 6 3478 78 | 5 1 478 | +-----------+---------------+------------+ | 49 5 8 | 14 1249 24 | 6 7 3 | | 1 2 3 | 478 478 6 |a48 9 5 | |e49 7 6 | 458 d4589 3 | 1 *4-8 2 | +-----------+---------------+------------+

ALS(1345789)r145689c5
(4)r8c7 = (4-8)r1c7 = (8-1)r1c5 == (9)r9c5 - (9=4)r9c1 => -4r9c8; stte

by **shye** » Sun Oct 24, 2021 6:32 am

.
i got an AHS inverse of lerens solution, it seems

Code: Select all: .-------------.-------------------.-------------. | 7 9 14 | 3 *148 5 |*48 2 6 | | 3 8 24 | 9 6 24 | 7 5 1 | | 5 6 124 | 1478 *12478 2478 | 9 3 48 | :-------------+-------------------+-------------: | 6 34 7 | 458 3458 1 | 2 48 9 | | 8 1 5 | 2 47 9 | 3 6 47 | | 2 34 9 | 6 3478 478 | 5 1 478 | :-------------+-------------------+-------------: | 49 5 8 |#14 *1249 #24 | 6 7 3 | | 1 2 3 |*478 *478 6 |*4-8 9 5 | | 49 7 6 | 458 4589 3 | 1 48 2 | '-------------'-------------------'-------------'

mixed ALS/AHS chain
8r1c7 = (8-1)r1c5 = 12r37c5 & 124b8p123 - 4r8c45 = 4r8c7
=> -8r8c7 stte

Xsudo T&L: Show

by **jco** » Sun Oct 24, 2021 2:08 pm

I found a solution after two unsuccessful attempts in making this kraken bivalue oddagon work
(at first, easy eliminations weren't enough to solve the puzzle)

Code: Select all: .----------------------------------------------. | 7 9 z14 | 3 *48(1) 5 | 8-4 2 6 | | 3 8 24 | 9 6 D"24 | 7 5 1 | | 5 6 124 |E1478 12478 E78 | 9 3 F48 | |--------------+-----------------+-------------| | 6 34 7 | 458 3458 1 | 2 48 9 | | 8 1 5 | 2 47 9 | 3 6 47 | | 2 34 9 | 6 3478 78 | 5 1 478 | |--------------+-----------------+-------------| |C 49 5 8 |D14 1249 D'24 | 6 7 3 | | 1 2 3 | 478 478 6 |c48 9 5 | |Ba49 7 6 | 458 A*48(59) 3 | 1 b48 2 | '----------------------------------------------'

Kraken Bivalue Oddagon (48)r1c57,r8c7,r9c58 using internals

Code: Select all: (9)r9c5 - (9=4)r9c1 - r9c8 = (4)r8c7 || || (4=1)r7c4--------- || / \ (5-9)r9c5 = (9)r9c1 - (9=4)r7c1 - (1|4= 78)r3c46 - (8=4)r3c9 || \ / || (4)r7c6 = (4)r2c6 || (1)r1c5 - (1=4)r1c3

=> -4 r1c7; ste

Related AIC (using Bivalue Oddagon's internal guardians)

(4=1)r1c3-r1c5 =* [(4)r8c7=r9c8-(9=4)r9c1-(9)r9c5 *==* (5-9)r9c5=r9c1-(4)r7c6|r7c4=(4)r2c6 & (1)r7c4-(1|4=78)r3c46 - (8=4)r3c9]

=> -4 r1c7; ste

by **eleven** » Sun Oct 24, 2021 2:30 pm

Code: Select all: *------------------------------------------------------------* | 7 9 14 | 3 fa148 5 | b48 2 6 | | 3 8 24 | 9 6 24 | 7 5 1 | | 5 6 124 |g#1478 f*12478 g*78 | 9 3 #4-8 | |------------------+----------------------+------------------| | 6 34 7 | #458 *3458 1 | 2 48 9 | | 8 1 5 | 2 47 9 | 3 6 47 | | 2 34 9 | 6 *3478 #78 | 5 1 #478 | |------------------+----------------------+------------------| | d49 5 8 | 14 e1249 24 | 6 7 3 | | 1 2 3 | *478 478 6 | a48 9 5 | | c49 7 6 | *458 4589 3 | 1 c48 2 | *------------------------------------------------------------*

Oddagon 8 with guardians r3c56,r46c5,r89c4:
8r3c56
8r46c5 - r1c5 = 8r1c7
8r8c4 - r8c7 = 8r1c7
8r9c4 - (8=49)r9c81 - r7c1 = (9-1|2)r7c5 = (12-7|8)r13c5 = 78r3c46
=> -8r3c9, stte

In a line (borrowing a part of jco's):
8r1c7 = (8-1)r1c5 = (12-9)r37c5 = 948r9c518 => -8r8c7

by **P.O.** » Sun Oct 24, 2021 3:36 pm

so as not to repeat the solutions already given, a rather long chain;

Code: Select all: after singles: 7 9 g-14 3 g+148 5 48 2 6 3 8 24 9 6 24 7 5 1 5 6 f+124 c1-478 e1+2478 2478 9 3 b+48 6 34 7 458 3458 1 2 a+48 9 8 1 5 2 47 9 3 6 b-47 2 34 9 6 3478 478 5 1 b-478 i4-9 5 8 c1*4 he1-24+9 d+24 6 7 3 1 2 3 c*478 478 6 48 9 5 i×4+9 7 6 c*458 4589 3 1 a±48 2

c8n4{r9 r4} - c9n4{r5r6 r3} - c4n4{r3 r7r8r9} - r7c6{n4 n2} - c5n2{r7 r3} - r3c3{n2n4 n1} - r1n1{c3 c5} - r7c5{n1n2n4 n9} - c1n9{r7 r9} => r9c1 <> 4
ste.

Website · by **denis_berthier** » Sun Oct 24, 2021 4:10 pm

.

Code: Select all: Resolution state after Singles and whips[1]: +-------------------+-------------------+-------------------+ ! 7 9 14 ! 3 148 5 ! 48 2 6 ! ! 3 8 24 ! 9 6 24 ! 7 5 1 ! ! 5 6 124 ! 1478 12478 2478 ! 9 3 48 ! +-------------------+-------------------+-------------------+ ! 6 34 7 ! 458 3458 1 ! 2 48 9 ! ! 8 1 5 ! 2 47 9 ! 3 6 47 ! ! 2 34 9 ! 6 3478 478 ! 5 1 478 ! +-------------------+-------------------+-------------------+ ! 49 5 8 ! 14 1249 24 ! 6 7 3 ! ! 1 2 3 ! 478 478 6 ! 48 9 5 ! ! 49 7 6 ! 458 4589 3 ! 1 48 2 ! +-------------------+-------------------+-------------------+ 85 candidates.

For fun, using only weird oddagons:

Code: Select all: oddagon[5]: r3n8{c5 c9},c9n8{r3 r6},r6n8{c9 c6},c6n8{r6 r3},b2n8{r3c6 r3c5} ==> r3c5≠8 with z-candidates = n8r6c5 n8r3c4 n8r1c5 oddagon[5]: c6n2{r2 r7},r7c6{n2 n4},c6n4{r7 r3},b2n4{r3c6 r2c6},r2c6{n4 n2} ==> r3c6≠4 with z-candidates = n2r3c6 n4r6c6 n4r2c6 oddagon[5]: r1n8{c5 c7},b3n8{r1c7 r3c9},c9n8{r3 r6},r6n8{c9 c5},c5n8{r6 r1} ==> r6c5≠8, r6c9≠8, r6c6≠7, r6c6≠4, r4c5≠8, r4c4≠8, r3c6≠8 with z-candidates = n8r6c6 stte

by **Cenoman** » Sun Oct 24, 2021 10:26 pm

Code: Select all: +------------------+----------------------+------------------+ | 7 9 14 | 3 14z-8 5 | 48 2 6 | | 3 8 24 | 9 6 24 | 7 5 1 | | 5 6 124 | 1478 12478z 78 | 9 3 48 | +------------------+----------------------+------------------+ | 6 a34 7 | 458* A3458Z 1 | 2 48* 9 | | 8 1 5 | 2 Bc47 9 | 3 6 47 | | 2 b34 9 | 6 c3478 78 | 5 1 478 | +------------------+----------------------+------------------+ | 49y 5 8 | 14x 1249xz 24x | 6 7 3 | | 1 2 3 | 478* Bc478wZ 6 | 48* 9 5 | | 49 7 6 | 458 4589 3 | 1 48* 2 | +------------------+----------------------+------------------+

Bivalue oddagon (48)r48, c48, b9 using externals:
(4)r4c2 - (4=3)r6c2 - (3=478)r568c5
(4)r4c5 - (4=78)r58c5
(4)r8c5 - r7c456 = (4-9)r7c1 = (921)r137c5
(8)r48c5
=> -8 r1c5; ste

or using internals:

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