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by **ArkieTech** » Tue May 28, 2019 10:31 am

Code: Select all: *-----------* |...|.92|4..| |...|.1.|.86| |83.|5..|.1.| |---+---+---| |5..|..8|...| |.8.|...|.2.| |...|4..|..5| |---+---+---| |.2.|..5|.64| |71.|.6.|...| |..4|72.|...| *-----------*

Play/Print this puzzle online

by **Leren** » Tue May 28, 2019 10:41 am

Code: Select all: *---------------------------------------* | 1 67 567 | 8 9 2 | 4 357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 279 | |------------+---------+----------------| | 5 a79 137 | 2 37 8 | 6 4 d137-9 | | 4 8 b137 | 6 5 19 | 39 2 c1379 | | 2 69 16 | 4 37 19 | 8 37 5 | |------------+---------+----------------| | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | *---------------------------------------*

H2 Wing: (9=7) r4c2 - r5c3 = (7-1) r5c9 = (1) r4c9 => - 9 r4c9; stte

Leren

by **SpAce** » Tue May 28, 2019 12:44 pm

Original: Show

Code: Select all: .--------------.-------------.-------------------------. | 1 c67 567 | 8 9 2 | 4 c37+5 b37+ | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | B29 1 Ab29#7 | :--------------+-------------+-------------------------: | 5 79 137 | 2 37+ 8 | 6 4 -3/7+19 | | 4 8 17-3 | 6 5 f19 | Bf9(#3) 2 a19#(3)7 | | 2 d69 16 | 4 37+ e19 | 8 -3/7+ 5 | :--------------+-------------+-------------------------: | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | '--------------'-------------'-------------------------'

BUG-Lite(37)b356+3 using #externals

Code: Select all: (#3)r5c79 || (#7-9)r3c9 = (93)r25c7 || (#7)r5c9 - r13c9 = (76)r1c82 - (6=9)r6c2 - r6c6 = (93)r5c67 => +3 r5c79; stte

Matrix: Show

or:

Code: Select all: .------------------.----------------.------------------. | 1 67 567 | 8 9 2 | 4 357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 279 | :------------------+----------------+------------------: | 5 9-7 af(37)-1 | 2 af(37) 8 | 6 4 19-37 | | 4 8 e137 | 6 5 d19 | d39 2 1379 | | 2 69 b16 | 4 37 c19 | 8 37 5 | :------------------+----------------+------------------: | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | '------------------'----------------'------------------'

(37=1)r4c53 - r6c3 = r6c6 - (1=93)r5c67 - r5c3 = (37)r4c35 => +37 r4c34; stte

or more simply (ALS-S-Wing):

(1)r6c3 = r6c6 - (1=93)r5c67 - r5c3 = (3)r4c3 => -1 r4c3; stte

Edits: matrix added, alternative solution(s) added, original slightly simplified (using all externals).

by **SteveG48** » Tue May 28, 2019 12:48 pm

Code: Select all: *-----------------------------------------------------------* | 1 67 567 | 8 9 2 | 4 357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 279 | *-------------------+-------------------+-------------------| | 5 e79 137 | 2 e37 8 | 6 4 1379 | | 4 8 137 | 6 5 b19 |b39 2 1379 | | 2 6-9 16 | 4 d37 a19 | 8 c37 5 | *-------------------+-------------------+-------------------| | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | *-----------------------------------------------------------*

9r6c6 - (39)r5c67 - (3=7)r6c8 - 7r6c5 = (79)r4c25 => -9 r6c2 ; stte

by **Ngisa** » Tue May 28, 2019 2:25 pm

Code: Select all: +-------------------+-----------------+-----------------------+ | 1 67 c567 | 8 9 2 | 4 b357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 279 | +-------------------+-----------------+-----------------------+ | 5 79 137 | 2 37 8 | 6 4 1379 | | 4 8 137 | 6 5 f19 |g39 2 1379 | | 2 d69 d16 | 4 37 e19 | 8 7-3 5 | +-------------------+-----------------+-----------------------+ | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 25-3 a35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | +-------------------+-----------------+-----------------------+

(3=5)r8c8 - r1c8 = (5-6)r1c3 = (69)r6c23 - (9)r6c6 = r5c6 - (9=3)r5c7 => - 3r6c8,r8c7; stte

Clement

by **Cenoman** » Tue May 28, 2019 10:02 pm

Two very simple steps:

Hidden Text: Show

1. X-wing (7)r35c39 => -7r14c39; 2 placements

Hidden Text: Show

2. BUG+2 (1)r5c3==(9)r5c9 - (9=1)r4c9 => -1 r4c3; ste

...or one step:

Code: Select all: +------------------+-----------------+---------------------+ | 1 67 567 | 8 9 2 | 4 357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | w29 1 x279 | +------------------+-----------------+---------------------+ | 5 z9-7 a137* | 2 D37 8 | 6 4 y1379* | | 4 8 a137* | 6 5 19 |vA39 2 1379* | | 2 69 16 | 4 C37 19 | 8 uB37 5 | +------------------+-----------------+---------------------+ | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | +------------------+-----------------+---------------------+

UR(13)r45c39 using mixed internals-externals
(7)r45c3
(3)r5c7 - (3=7)r6c8 - r6c5 = (7)r4c5
(3)r6c8 - (3=9)r5c7 - r3c7 = r3c9 - r4c9 = (9)r4c2
=> -7 r4c2; ste
Edit : third chain could be shortened to (3)r6c8 - (3=9)r5c7 - r4c9 = (9)r4c2 (Thanks SpAce !)

by **SpAce** » Tue May 28, 2019 11:13 pm

Leren wrote:H2 Wing: (9=7) r4c2 - r5c3 = (7-1) r5c9 = (1) r4c9 => - 9 r4c9; stte

Like its closest sibling (M-Wing), H2-Wing is one of the rare patterns that can be written as a one-linker:

(97)b4p26 = (71)r54c9 => -9 r4c9

Not as symmetric as the M-Wing, but still nice. As I've said before, I'd rather see H2-Wing as a (top-level) type of M-Wing because they're structurally identical. H2-Wing and H3-Wing aren't (and their numbering has no logic anyway), so they don't belong in the same family. If the one-letter wings had a unified naming logic, the normal M-Wing would be M2-Wing, the H2-Wing would be M3-Wing, and the H3-Wing would be just H-Wing (because there wouldn't be anything else in the top level of that family -- H4 and everything else are just subtypes of it and should be renamed accordingly). That way the top-level type numbers would mean the same thing as with L-Wings (i.e. the number of different digits in the pattern) instead of nothing.

The more logical family associations should be easy to spot in the chain view:

Code: Select all: H3-Wing: (a=b) - (b=c) - c = c (should be just H-Wing, top-level) H4-Wing: (ac=b) - (b=a) - a = a (should be an ALS subtype of H-Wing, not a top-level type) M-Wing : (a=b) - b = (b-a) = a (should be M2-Wing/Ring, top-level) H2-Wing: (a=b) - b = (b-c) = c (should be M3-Wing, top-level) ??-Wing: (ac=b) - b = (b-a) = a (should be an ALS subtype of M2-Wing; currently an unlisted wing-pattern I think)

H4 has the same structure as H3, but with an overlapping ALS-complication -- so it should be a subtype of H3, not top-level. On the other hand, H2 has the same structure as M-Wing without any complications, so it should be a sibling of it (both top-level). Also, similar to the H4-subtype, there should be a functionally identical pattern within the M-Wing family as well (underscoring the fact that H4 doesn't deserve to be a top-level type), but currently there isn't (as far as I know).

Too bad wishing things to make sense is futile after years of logical inconsistencies, but one can still speculate how things ought to be.

by **rjamil** » Wed May 29, 2019 1:06 am

Same as Cenoman's Two very simple steps but with second step more simpler:

Code: Select all: ....924......1..8683.5...1.5....8....8.....2....4....5.2...5.6471..6......472.... +--------------+-----------+------------------+ | 1 67 56-7 | 8 9 2 | 4 357 3-7 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 2(7) | 5 4 6 | 29 1 2(7)9 | +--------------+-----------+------------------+ | 5 79 13-7 | 2 37 8 | 6 4 139-7 | | 4 8 13(7) | 6 5 19 | 39 2 13(7)9 | | 2 69 16 | 4 37 19 | 8 37 5 | +--------------+-----------+------------------+ | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | +--------------+-----------+------------------+

1) X-Wing: 7 @ r35c39 => -7 @ r14c39; 2 singletons; and

Code: Select all: +-------------+-----------+----------------+ | 1 6(7) 56 | 8 9 2 | 4 5(7) 3 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 (79) | +-------------+-----------+----------------+ | 5 (79) 13 | 2 37 8 | 6 4 1-9 | | 4 8 137 | 6 5 19 | 39 2 179 | | 2 69 16 | 4 37 19 | 8 37 5 | +-------------+-----------+----------------+ | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 35 35 2 | | 6 5 4 | 7 2 3 | 1 9 8 | +-------------+-----------+----------------+

2) W-Wing: 79 @ r3c9 r4c2 Strong Link 7 @ r1c28 => -9 @ r4c9; stte

R. Jamil

by **Leren** » Wed May 29, 2019 1:23 am

Code: Select all: *--------------------------------------* | 1 67 567 | 8 9 2 | 4 357 37 | | 9 4 25 | 3 1 7 | 25 8 6 | | 8 3 27 | 5 4 6 | 29 1 279 | |-----------+---------+----------------| | 5 79 b137 | 2 37 8 | 6 4 a139-7 | | 4 8 c137 | 6 5 19 | 39 2 d379-1 | | 2 69 16 | 4 37 19 | 8 37 5 | |-----------+---------+----------------| | 3 2 9 | 1 8 5 | 7 6 4 | | 7 1 8 | 9 6 4 | 235 35 23 | | 6 5 4 | 7 2 3 | 1 9 8 | *--------------------------------------*

L3 Wing: (1) r4c9 = (1-3) r4c3 = (3-7) r5c3 = (7) r5c9 => - 7 r4c9, - 1 r5c9; stte

Leren

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