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by **ArkieTech** » Mon Mar 26, 2018 12:07 pm

Code: Select all: *-----------* |81.|3.7|.9.| |.72|.5.|...| |..4|...|...| |---+---+---| |2..|.4.|...| |.57|8.2|31.| |...|.3.|..5| |---+---+---| |...|...|1..| |...|.7.|96.| |.9.|4.6|.72| *-----------*

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by **Cenoman** » Mon Mar 26, 2018 1:02 pm

Code: Select all: +--------------------+-------------------------+--------------------+ | 8 1 5 | 3 26 7 | 246 9 a46 | | 69 7 2 | 169 5 4 | b68 3 168 | | 369 36 4 | 1269 12689 189 | 2567 25 167 | +--------------------+-------------------------+--------------------+ | 2 36 139 | 15679 4 159 | 67 8 679 | | 46 5 7 | 8 69 2 | 3 1 469 | | 146 48 189 | 1679 3 19 | 2467 24 5 | +--------------------+-------------------------+--------------------+ | 7 248 6 | 259 289 3589 | 1 d45 38-4 | | 145 248 18 | 125 7 1358 | 9 6 38-4 | | 135 9 138 | 4 18 6 | v58 7 2 | +--------------------+-------------------------+--------------------+

XY-chain (4=6)r1c9 - (6=8)r2c7 - (8=5)r9c7 - (5=4)r7c8 = >-4 r78c9; lclste

EDIT: a solution with a net and stte finish

Code: Select all: +--------------------+-------------------------+--------------------+ | 8 1 5 | 3 a26 7 | b246 9 c4-6 | | 69 7 2 | 169 5 4 | J68Z 3 168Z | | 369 B36 4 | 1269 A12689 189 | 2567 25 167Z | +--------------------+-------------------------+--------------------+ | 2 C36 139 | 15679 4 159 | 67 8 xy679Y | |DF46 5 7 | 8 v69 2 | 3 1 w469 | |DF146 E48 E189 | 1679 3 E19 | 2467 24 5 | +--------------------+-------------------------+--------------------+ | 7 248 6 | 259 289 3589 | 1 45 348 | | G145 248 18 | 125 7 1358 | 9 6 348 | | H135 9 138 | 4 18 6 | I58 7 2 | +--------------------+-------------------------+--------------------+ Kraken column (6)r135c5 and kraken cell (679)r4c9 (6-2)r1c5 = (2-4)r1c7 = (4)r1c9* (a,b,c) (6)r3c5 - r3c2 = r4c2 - (64=1)r56c1 - (189=4)r6c236 - r56c1 = (4-5)r8c1 = r9c1 - (5=8)r9c7 - (8=6)r2c7* (A,B,C,D,E,F,G,H,I,J) (6-9)r5c5 = r5c9 - (9)r4c9 (v,w,x) || (6)r4c9* (y) || (7)r4c9 - (7=168)b3p469* (Y,Z) => -6 r1c9; stte

by **SteveG48** » Mon Mar 26, 2018 7:13 pm

Code: Select all: *---------------------------------------------------------------------* | 8 1 5 | 3 f26 7 | 246 9 a4-6 | |d69 7 2 | 169 5 4 |bc68 3 bc168 | |d369 36 4 | 1269 12689 189 | 2567 25 bc167 | *----------------------+----------------------+-----------------------| | 2 36 139 | 15679 4 159 | 67 8 bc679 | |d46 5 7 | 8 e69 2 | 3 1 bc469 | | 146 48 189 | 1679 3 19 | 2467 24 5 | *----------------------+----------------------+-----------------------| | 7 248 6 | 259 e289 3589 | 1 45 348 | | 145 248 18 | 125 7 1358 | 9 6 348 | |d135 9 138 | 4 e18 6 | c58 7 2 | *---------------------------------------------------------------------*

(4=6)r1c9 - 6r2c79,r345c9 = (154678)r29c7,r2345c9 - (4|5=1369)r2359c1 - (1|6=289)r579c5 - (2=6)r1c5 => -6 r1c9 ; stte

by **eleven** » Mon Mar 26, 2018 8:01 pm

Code: Select all: *-------------------------------------------------------------------* | 8 1 5 | 3 26 7 | 246 9 4-6 | | #69 7 2 | #169 5 4 |ca68 3 ca168 | | 369 36 4 | 1269 12689 189 | 2567 25 c167 | |--------------------+-------------------------+--------------------| | 2 36 139 | #15679 4 159 | 67 8 c679 | | b46 5 7 | 8 #69 2 | 3 1 c469 | | 146 48 189 | #1679 3 19 | 2467 24 5 | |--------------------+-------------------------+--------------------| | 7 248 6 | 259 289 3589 | 1 45 348 | | 145 248 18 | 125 7 1358 | 9 6 348 | | 135 9 138 | 4 18 6 | 58 7 2 | *-------------------------------------------------------------------*

(6=1)r2c79 - (1=ER/kite 6r2c14,r46c4,r5c5) - (6=4)r5c1 - (4=6)r2c7,r2345c9 => -6r1c9, stte

by **Marty R.** » Tue Mar 27, 2018 12:42 am

Code: Select all: ┌───────────────────────┬───────────────────────┬───────────────────────┐ │ 8 1 5 │ 3 26 7 │ 246 9 46 │ │ │ │ │ │ 69 7 2 │ 169 5 4 │ 68 3 168 │ │ │ │ │ │ 369 36 4 │ 1269 12689 189 │ 2567 25 167 │ ├───────────────────────┼───────────────────────┼───────────────────────┤ │ 2 36 139 │ 15679 4 159 │ 67 8 679 │ │ │ │ │ │ 46 5 7 │ 8 69 2 │ 3 1 469 │ │ │ │ │ │ 146 48 189 │ 1679 3 19 │ 2467 24 5 │ ├───────────────────────┼───────────────────────┼───────────────────────┤ │ 7 248 6 │ 259 289 3589 │ 1 45 348 │ │ │ │ │ │ 145 248 18 │ 125 7 1358 │ 9 6 348 │ │ │ │ │ │ 135 9 138 │ 4 18 6 │ 58 7 2 │ └───────────────────────┴───────────────────────┴───────────────────────┘

XY-Chain (4=5)r7c8-(5=8)r9c7-(8=64)b3p43=> -4r78c9

by **pjb** » Tue Mar 27, 2018 2:03 am

Code: Select all: 8 1 5 | 3 j26 7 |k26-4 9 a46 g69 7 2 |h169 5 4 |b68 3 b168 369 36 4 | 1269 i12689 189 | 2567 25 c167 ------------------------+----------------------+--------------------- 2 36 139 | 15679 4 159 | 67 8 d679 f46 5 7 | 8 g69 2 | 3 1 e69-4 146 48 189 | 1679 3 19 |l2467 24 5 ------------------------+----------------------+--------------------- 7 248 6 | 259 289 3589 | 1 45 348 145 248 18 | 125 7 1358 | 9 6 348 135 9 138 | 4 18 6 | 58 7 2

Rather messy chain:
(4=6)r1c9 - (6=1)r2c79 - (16=7)r3c9 - (67=9)r4c9 - (69=4)r5c9 - (4=6)r5c1 - (6=9)r2c1(r5c5) - (19=6)r2c4 - r3c5 = (6-2)r1c5 = (2-4)r1c7 = r6c7 => -4 r1c7, r5c9; stte

Phil

by **Sudtyro2** » Tue Mar 27, 2018 3:44 pm

Code: Select all: +--------------+-------------------+---------------+ | 8 1 5 | 3 26 7 | 246 9 4-6 | | 69 7 2 | 169 5 4 | 68 3 168 | | 369 36 4 | 1269 12689 189 | 2567 25 167 | +--------------+-------------------+---------------+ | 2 36 139 | 15679 4 159 | 67 8 679 | | 46 5 7 | 8 69 2 | 3 1 469 | | 146 48 189 | 1679 3 19 | 2467 24 5 | +--------------+-------------------+---------------+ | 7 248 6 | 259 289 3589 | 1 45 348 | | 145 248 18 | 125 7 1358 | 9 6 348 | | 135 9 138 | 4 18 6 | 58 7 2 | +--------------+-------------------+---------------+

Phil, I think I got you beat in the messy category.

The raw network is from a 7-level interative coloring:
Kraken cell (69)r2c1 => -6r1c9(EE); stte

Code: Select all: 6r2c1-(6=4)r5c1-4r5c9 || || || 6r5c9-EE || || || 9r5c9-------- || \ || 6r5c5-9r5c5=r5c9-9r4c9 || || || || 6r1c5-EE 6r4c9-EE || || || || 6r2c4--6r3c5 7r4c9-7r3c9 || || || 9r2c1-9r2c4 6r3c9-EE || || || 1r3c9--1r2c9 || / || 1r2c4------------------------------/ 6r2c9-EE || 8r2c9-(8=6)r2c7-EE

SteveC
ps: Cenoman,
Just saw your earlier solution for the the -6r1c9 elimination...very nice!
My solution, on the other hand, has no helpful tags!

[Added 3/29/2018] :

eleven wrote:(6=1)r2c79 - (1=ER/kite 6r2c14,r46c4,r5c5) - (6=4)r5c1 - (4=6)r2c7,r2345c9 => -6r1c9, stte

After a recent helpful discussion with eleven regarding the ER/kite notation in his earlier post, it later occurred to me that his last two nodes are exactly reproduced in the network format above as the entire right-side cascade of six interacting cells beginning with ... (6=4)r5c1 - 4r5c9 ... in the first line. Eleven's 2-house, 5-cell ALS reveals the strong link between 4r5c9 and all five 6s in the ALS, each of which can see the EE at 6r1c9. Likewise, the network explicitly shows the same five weak links to the EE including the one in the final bivalue cell at r2c7. The network also reveals how the five ALS cells link among themselves.

In a network vs. AIC contest, I'll take the AIC anytime, BUT I'd have never spotted eleven's 5-cell ALS.

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