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by **ArkieTech** » Mon Jun 29, 2015 10:21 pm

Code: Select all: *-----------* |68.|...|...| |.12|..7|...| |..7|68.|3..| |---+---+---| |...|.6.|..5| |.35|4.9|62.| |1..|.2.|...| |---+---+---| |..3|.56|1..| |...|3..|49.| |...|...|.63| *-----------*

Play/Print this puzzle online

by **SteveG48** » Mon Jun 29, 2015 10:43 pm

Code: Select all: *--------------------------------------------------------------------* | 6 8 49 | 159 3 145 | 2 457 479 | | 3 1 2 | 59 49 7 | 89 458 6 | | 459 459 7 | 6 8 2 | 3 14 149 | *----------------------+----------------------+----------------------| | 24789 2479 489 | 178 6 138 | 789 1348 5 | |a78 3 5 | 4 1-7 9 | 6 2 18 | | 1 4679 4689 | 578 2 358 | 789 348 489 | *----------------------+----------------------+----------------------| |b24789 b2479 3 | 2789 5 6 | 1 78 278 | |b2578 b2567 c168 | 3 c17 c18 | 4 9 278 | |b2789 b279 189 | 12789 49 148 | 5 6 3 | *--------------------------------------------------------------------*

(7=8)r5c1 - (8=492756)r789c12 - (6=187)r8c356 => -7r5c5 ; stte

by **pjb** » Mon Jun 29, 2015 11:45 pm

Code: Select all: 6 8 b49 | 159 3 145 | 2 457 479 3 1 2 | 59 49 7 | 89 458 6 459 459 7 | 6 8 2 | 3 14 149 ------------------------+----------------------+--------------------- 24789 2479 b489 | 178 6 138 | 789 1348 5 a78 3 5 | 4 1-7 9 | 6 2 18 1 4679 b4689 | 578 2 358 | 789 348 489 ------------------------+----------------------+--------------------- 24789 2479 3 | 2789 5 6 | 1 78 278 258-7 2567 c168 | 3 c17 c18 | 4 9 278 2789 279 189 | 12789 49 148 | 5 6 3

(7=8)r5c1 - (8=469)r146c3 - (6=178)r8c356 => -7 r5c5, r8c1; stte

Phil

by **Leren** » Tue Jun 30, 2015 12:58 am

Code: Select all: *--------------------------------------------------------------* | 6 8 c49 | 159 3 145 | 2 457 479 | | 3 1 2 | 59 49 7 | 89 458 6 | | 459 459 7 | 6 8 2 | 3 14 149 | |--------------------+--------------------+--------------------| | 24789 2479 c489 | 178 6 138 | 789 1348 5 | | 7-8 3 5 | 4 a17 9 | 6 2 a18 | | 1 4679 c4689 | 578 2 358 | 789 348 489 | |--------------------+--------------------+--------------------| | 24789 2479 3 | 2789 5 6 | 1 78 278 | | 2578 2567 b168 | 3 b17 b18 | 4 9 278 | | 2789 279 189 | 12789 49 148 | 5 6 3 | *--------------------------------------------------------------*

ALS XY Wing: (8=7) r5c59 - (7=6) r8c356 - (6=8) r146c3 => - 8 r5c1; stte

Leren

by **Marty R.** » Tue Jun 30, 2015 4:30 am

Code: Select all: +-----------------+-----------+------------+ | 6 8 49 | 1 3 5 | 2 47 479 | | 3 1 2 | 9 4 7 | 8 5 6 | | 459 459 7 | 6 8 2 | 3 14 149 | +-----------------+-----------+------------+ | 24789 2479 489 | 78 6 13 | 79 13 5 | | 78 3 5 | 4 17 9 | 6 2 18 | | 1 4679 4689 | 5 2 38 | 79 348 48 | +-----------------+-----------+------------+ | 49 49 3 | 278 5 6 | 1 78 278 | | 2578 2567 68 | 3 17 18 | 4 9 278 | | 278 27 1 | 278 9 4 | 5 6 3 | +-----------------+-----------+------------+

Play this puzzle online at the Daily Sudoku site

W-Wing (18) with transport. (8=1)r5c9-(1=7)r5c5-(7=1)r8c5-(1=8)r8c6-r8c13=r9c1=>-8r5c1

by **JC Van Hay** » Tue Jun 30, 2015 7:33 am

Code: Select all: +---------------------+-------------------+----------------+ | 6 8 49 | 159 3 145 | 2 457 479 | | 3 1 2 | 59 49 7 | 89 458 6 | | 459 459 7 | 6 8 2 | 3 14 149 | +---------------------+-------------------+----------------+ | 24789 2479 49(8) | 178 6 138 | 789 1348 5 | | (78) 3 5 | 4 (17) 9 | 6 2 18 | | 1 4679 469(8) | 578 2 358 | 789 348 489 | +---------------------+-------------------+----------------+ | 24789 2479 3 | 2789 5 6 | 1 78 278 | | 2578 2567 6(18) | 3 7-1 (18) | 4 9 278 | | 2789 279 9(18) | 12789 49 148 | 5 6 3 | +---------------------+-------------------+----------------+ [(1=78)r5c51 - 8r46c3=(81)r89c3,r8c6] - (1=7)r8c5; stte

by **Sudtyro2** » Tue Jun 30, 2015 7:33 pm

JC Van Hay wrote:
Code: Select all
[(1=78)r5c51 - 8r46c3=(81)r89c3,r8c6] - (1=7)r8c5; stte

JC, sorry to be so slow on your chain, but I can't seem to recognize the logic or notation of that middle node. Is it an abbreviated network? The best I could come up with for the elimination was Kraken column (8)c3:

Code: Select all: (1=78)r5c51 - 8r46c3 || 8r8c3 – (8=1)r8c6 => –1r8c5 || (8-1)r9c3 = 1r8c3 => –1r8c5

Is that the right idea?

SteveC

by **blue** » Tue Jun 30, 2015 8:53 pm

Sudtyro2 wrote:
JC Van Hay wrote:
Code: Select all
[(1=78)r5c51 - 8r46c3=(81)r89c3,r8c6] - (1=7)r8c5; stte

JC, ...

That's the right idea, I think, but since 1r8c3 and 1r8c6 and the elimination target, are in the same row, you can think of it like this:

Code: Select all: 1r8c5 - (1=78)r5c15 - 8r46c3 || +-------------------------+ | || | | 8r8c3 –-------- 8r8c6 | | || || | | 8r9c3 - 1r9c3 || | | || || | | 1r8c3 - 1r8c6 --- 1r8c5 | | | 3D Swordfish | +-------------------------+

What I "boxed up" and called a "3D swordfish", is a rank-0 pattern that, on its own, would eliminate 1r8c5.
As such, it can serve as a single node in an AIC.

[ Added: It isn't important that it's a rank-0 pattern, but since it is, it shows the final elimination to be a "rank-1 elimination", similar to the eliminations for normal/simple AICs. Kraken eliminations are usually "rank 2" or higher. ]

An closely related alternative to JC's chain, is:

(1=78)r5c15 - (8=469)r146c3 - (6=18)r8c36 => -1r8c5I'm guessing that JC chose to show it like he did, because the "(natural) SIS" count is smaller by two, than in what's above.

by **Leren** » Tue Jun 30, 2015 9:15 pm

Marty R wrote :W-Wing (18) with transport.

Hi Marty. Your W-Wing is OK but your start PM is different from those of the other solutions.

Leren

by **daj95376** » Tue Jun 30, 2015 11:22 pm

JC Van Hay wrote:
Code: Select all
[(1=78)r5c51 - 8r46c3=(81)r89c3,r8c6] - (1=7)r8c5; stte

aka

Code: Select all: (1=7)r5c5 - (7=8)r5c1 - 8r46c3 = hp(18)r89c3 - 6r8c3 = np(18)r8c36 => -1 r8c5

_

by **Sudtyro2** » Wed Jul 01, 2015 4:17 am

So, in summary, we seem to have the following:

JC Van Hay wrote:
Code: Select all
[(1=78)r5c51 - 8r46c3=(81)r89c3,r8c6] - (1=7)r8c5; stte

Comment: Middle node definitely above my pay grade.

Sudtyro2 wrote:
Code: Select all
(1=78)r5c51 - 8r46c3 || 8r8c3 – (8=1)r8c6 => –1r8c5 || (8-1)r9c3 = 1r8c3 => –1r8c5

Comment: Well, it's a network, but I can understand my own stuff. Aka a “3D Swordfish,” courtesy blue.

blue wrote:
Code: Select all
(1=78)r5c15 - (8=469)r146c3 - (6=18)r8c36 => -1r8c5

Comment: My favorite. Three linked ALS, with bonus that cell (189)r9c3 is not used.

daj95376 wrote:
Code: Select all
(1=7)r5c5 - (7=8)r5c1 - 8r46c3 = hp(18)r89c3 - 6r8c3 = np(18)r8c36 => -1 r8c5

Comment: Longer chain, but uses only simple elements and is easy to understand.

Bottom Line: Thanks to all for the constructive feedback!

SteveC

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