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by **SteveG48** » Fri Nov 05, 2021 6:53 pm

Code: Select all: *-----------* |...|...|5..| |397|...|.4.| |25.|7..|.6.| |---+---+---| |.28|.6.|3..| |7..|...|...| |..9|.2.|87.| |---+---+---| |.7.|..3|..5| |.8.|...|213| |..2|...|...| *-----------*

by **Leren** » Fri Nov 05, 2021 7:40 pm

Code: Select all: *--------------------------------------------------* | 8 A14 6 | 149 149 2 | 5 3 7 | | 3 9 7 | 568 58 568 | 1 4 2 | | 2 5 B14 | 7 3 A14 | 9 6 8 | |----------------+--------------------+------------| |A14 2 8 | 9-14 6 7 | 3 5 149 | | 7 146 3 | 14589 14589 589 | 46 2 1469 | | 5 6-14 9 | 3 2 B14 | 8 7 146 | |----------------+--------------------+------------| | 1469 7 B14 | 2 1489 3 | 46 89 5 | | 469 8 5 | 469 7 69 | 2 1 3 | | 1469 3 2 | 145689 14589 5689 | 7 89 46 | *--------------------------------------------------*

Remote Pairs (14) => - 14 r4c4, r6c2; stte

Leren

by **jco** » Fri Nov 05, 2021 9:43 pm

Code: Select all: .----------------------------------------------------. | 8 *(4)1 6 | 149 149 2 | 5 3 7 | | 3 9 7 | 568 58 568 | 1 4 2 | | 2 5 *(4)1| 7 3 *(4)1 | 9 6 8 | |---------------+---------------------+--------------| | 14 2 8 | 149 6 7 | 3 5 149 | | 7 #(4)16 3 | 14589 14589 589 | 46 2 1469 | | 5 *(4)16 9 | 3 2 *(4)1 | 8 7 #(4)16 | |---------------+---------------------+--------------| | 1469 7 1-4| 2 1489 3 | 46 89 5 | | 469 8 5 | 469 7 69 | 2 1 3 | | 1469 3 2 | 145689 14589 5689 | 7 89 46 | '----------------------------------------------------'

Oddagon (4)r16c2,r3c36,r6c6 using externals

(4)r3c3 = r1c2 - (4)r5c2 == (4)r6c9 - r9c9 = (4)r7c7 => -4 r7c3; ste

by **Cenoman** » Fri Nov 05, 2021 9:57 pm

Code: Select all: +--------------------+--------------------------+-------------------+ | 8 e14 6 | 149 149 2 | 5 3 7 | | 3 9 7 | 568 58 568 | 1 4 2 | | 2 5 f14 | 7 3 e14 | 9 6 8 | +--------------------+--------------------------+-------------------+ | 14 2 8 | 149 6 7 | 3 5 149 | | 7 146 3 | 14589 14589 589 | b46 2 1469 | | 5 d146 9 | 3 2 d14 | 8 7 c146 | +--------------------+--------------------------+-------------------+ | 1469 7 1-4 | 2 1489 3 | a46 89 5 | | 469 8 5 | 469 7 69 | 2 1 3 | | 1469 3 2 | 145689 14589 5689 | 7 89 46 | +--------------------+--------------------------+-------------------+

X-chain (4)r7c7 = r5c7 - r6c9 = r6c26 - (r1c2 & r3c6) = r3c3 => -4 r7c3; ste
(Any taker for a fish-name ?)

Website · by **denis_berthier** » Sat Nov 06, 2021 7:19 am

.

Code: Select all: Resolution state after Singles and whips[1]: +----------------------+----------------------+----------------------+ ! 8 14 6 ! 149 149 2 ! 5 3 7 ! ! 3 9 7 ! 568 58 568 ! 1 4 2 ! ! 2 5 14 ! 7 3 14 ! 9 6 8 ! +----------------------+----------------------+----------------------+ ! 14 2 8 ! 149 6 7 ! 3 5 149 ! ! 7 146 3 ! 14589 14589 14589 ! 46 2 1469 ! ! 5 146 9 ! 3 2 14 ! 8 7 146 ! +----------------------+----------------------+----------------------+ ! 1469 7 14 ! 2 1489 3 ! 46 89 5 ! ! 469 8 5 ! 469 7 469 ! 2 1 3 ! ! 1469 3 2 ! 145689 14589 145689 ! 7 89 46 ! +----------------------+----------------------+----------------------+ 108 candidates.

1) Simplest-first solution, using only Subsets and Finned Fish:

Code: Select all: naked-pairs-in-a-column: c6{r3 r6}{n1 n4} ==> r9c6≠4, r9c6≠1, r8c6≠4, r5c6≠4, r5c6≠1 finned-swordfish-in-columns: n4{c3 c6 c7}{r7 r3 r6} ==> r6c9≠4 finned-x-wing-in-rows: n4{r6 r1}{c2 c6} ==> r3c6≠4 stte

2) The simplest two 1-step solutions:

Code: Select all: z-chain[4]: c3n4{r3 r7} - b9n4{r7c7 r9c9} - r6n4{c9 c6} - r3n4{c6 .} ==> r1c2≠4 with z-candidates = n4r6c2 n4r3c3 stte

Code: Select all: z-chain[4]: c3n4{r3 r7} - b9n4{r7c7 r9c9} - r6n4{c9 c2} - r1n4{c2 .} ==> r3c6≠4 with z-candidates = n4r6c6 n4r1c5 n4r1c4 stte

by **P.O.** » Sat Nov 06, 2021 10:10 am

Code: Select all: after singles and intersections: 8 a1+4 6 b1-49 b1-49 2 5 3 7 3 9 7 568 58 568 1 4 2 2 5 a1±4 7 3 b1+4 9 6 8 14 2 8 149 6 7 3 5 149 7 146 3 14589 14589 14589 46 2 1469 5 146 9 3 2 c1-4 8 7 c1+46 1469 7 1×4 2 1489 3 d+46 89 5 469 8 5 469 7 469 2 1 3 1469 3 2 145689 14589 145689 7 89 d-46

b1n4{r3c3 r1c2} - b2n4{r1c4r1c5 r3c6} - r6n4{c6 c9} - b9n4{r9c9 r7c7} => r7c3 <> 4
ste.

by **marek stefanik** » Sat Nov 06, 2021 10:22 am

The same elimination JCO, Cenoman and P.O. got, with a different fish:

Code: Select all: .---------------.---------------------.--------------. | 8 14 6 | 149 149 2 | 5 3 7 | | 3 9 7 | 568 58 568 | 1 4 2 | | 2 5 γ14 | 7 3 β14 | 9 6 8 | :---------------+---------------------+--------------: |B14 2 8 |A149 6 7 | 3 5 149 | | 7 146 3 |a14589 a14589 a589 |b46 2 1469 | | 5 146 9 | 3 2 α14 | 8 7 146 | :---------------+---------------------+--------------: |C1469 7 1–4| 2 1489 3 |c46 89 5 | |C469 8 5 | 469 7 69 | 2 1 3 | |C1469 3 2 | 145689 14589 5689 | 7 89 46 | '---------------'---------------------'--------------'

4r3c17b5\r457c36b7 => –4r7c3, stte
Or as a kraken 4b5:
| r5c456 – r5c7 = 4r7c7
| r4c4 – r4c1 = 4r789c1
| r6c6 – r3c6 = 4r3c3
=> –4r7c3

Cenoman wrote:(Any taker for a fish-name ?)

Yours is 4r36c7b1\r7c2336b6 as an Obi-Fish, so for example 4r36c7b1\c236b6 (exo-)fin r7c7 (endo-)fin r3c3, making it an (Endo-)Finned Mutant Jellyfish.

Marek

by **shye** » Wed Nov 10, 2021 1:48 am

same solution as leren, nice puzzle!

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