- Code: Select all
*-----------*
|..3|.56|...|
|..7|...|..6|
|.42|..3|.1.|
|---+---+---|
|...|89.|...|
|.9.|4..|.3.|
|..5|...|..2|
|---+---+---|
|.6.|...|...|
|...|32.|..1|
|..1|..9|..5|
*-----------*
Play/Print this puzzle online
January 22, 2019
12 posts
• Page 1 of 1
January 22, 2019
by ArkieTech » Tue Jan 22, 2019 12:13 pm
Play/Print this puzzle online
dan
-
ArkieTech - Posts: 3355
- Joined: 29 May 2006
- Location: NW Arkansas USA
Re: January 22, 2019
by Cenoman » Tue Jan 22, 2019 1:56 pm
...bis repetita ?
Loop (1=7)r6c6 - r6c12 = (7-1)r4c1 = (1)r6c12@ => -17r6c4, -4r4c1, -7 r6c78; ste
And a lot of ALS-XZ doubly linked, Sue de Coq, DP's to play with...
- Code: Select all
+---------------------+-----------------------+--------------------------+
| 189 18 3 | 1279 5 6 | 2478 2478 4789 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 789 |
+---------------------+-----------------------+--------------------------+
| c147 3 46 | 8 9 2 | 1467 5 47 |
| 2 9 68 | 4 167 5 | 1678 3 78 |
|db1478 db178 5 | 167 3 a17 | 146789 46789 2 |
+---------------------+-----------------------+--------------------------+
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
+---------------------+-----------------------+--------------------------+
Loop (1=7)r6c6 - r6c12 = (7-1)r4c1 = (1)r6c12@ => -17r6c4, -4r4c1, -7 r6c78; ste
And a lot of ALS-XZ doubly linked, Sue de Coq, DP's to play with...
Cenoman
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Re: January 22, 2019
by SteveG48 » Tue Jan 22, 2019 2:36 pm
- Code: Select all
*-----------------------------------------------------------------------------*
| 189 18 3 | 1279 5 6 | 2478 2478 489-7 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 |d79 78 3 | 5 1 e789 |
*-------------------------+-------------------------+-------------------------|
| 147 3 46 | 8 9 2 | 1467 5 4-7 |
| 2 9 68 | 4 b167 5 | 1678 3 ae78 |
| 1478 178 5 |c167 3 c17 | 146789 46789 2 |
*-------------------------+-------------------------+-------------------------|
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 |d67 4678 9 | 478 478 5 |
*-----------------------------------------------------------------------------*
7r5c9 = r5c5 - (7=16)r6c46 - (6=79)r39c4 - (9=78)r35c9 => -7 r14c9 ; stte
Steve
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SteveG48 - 2019 Supporter
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- Location: Orlando, Florida
Re: January 22, 2019
by Ngisa » Tue Jan 22, 2019 4:56 pm
- Code: Select all
+------------------+----------------------+-----------------------+
| 189 18 3 | 1279 5 6 | 2478 2478 4789 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 789 |
+------------------+----------------------+-----------------------+
|e1*47 3 46 | 8 9 2 |d1467 5 47 |
| 2 9 c68* | 4 hc167 5 |c1678 3 78 |
| 1478 f178 5 | ig167 3 g17 | 146789 46789 2 |
+--------------+----------------+---------------------------------+
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | a7-6 b4678 9 | 478 478 5 |
+------------------+----------------------+-----------------------+
(6)r9c4 - (6)r9c5 = (18*6)r5c357 - (1)r4c7 = (1*)r4c1 - (1*8* =7)r6c2 - r6c46 = (7-6)r5c5 = r6c4 => - 6r9c4; stte
Clement
- Ngisa
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Re: January 22, 2019
by SpAce » Tue Jan 22, 2019 5:46 pm
Just a variant of Cenoman's solution to test the DP concept discussed yesterday:
DP[468]b4p3678 -> (167)r6c1246 => -167 r6c7; -67 r6c8; stte
- Code: Select all
.----------------------.-------------------.-----------------------.
| 189 18 3 | 1279 5 6 | 2478 2478 4789 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 789 |
:----------------------+-------------------+-----------------------:
| 147 3 46+ | 8 9 2 | 1467 5 47 |
| 2 9 68+ | 4 167 5 | 1678 3 78 |
| 48+(17) 8+(17) 5 | (167) 3 (17) | 489-167 489-67 2 |
:----------------------+-------------------+-----------------------:
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
'----------------------'-------------------'-----------------------'
DP[468]b4p3678 -> (167)r6c1246 => -167 r6c7; -67 r6c8; stte
Or more simply using the original: Show
-SpAce-: Show
-
SpAce - Posts: 2671
- Joined: 22 May 2017
Re: January 22, 2019
by eleven » Tue Jan 22, 2019 7:34 pm
- Code: Select all
*------------------------------------------------------------------------*
| 189 18 3 | 1279 5 6 | 2478 2478 4789 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 789 |
|---------------------+-----------------------+--------------------------|
| 147 3 46 | 8 9 2 | 1467 5 47 |
| 2 9 a68 | 4 17-6 5 | 1678 3 78 |
| 1478 17+8 5 | 17+6 3 17 | 146789 46789 2 |
|---------------------+-----------------------+--------------------------|
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
*------------------------------------------------------------------------*
(6=8)r6c246 - (8=6)r5c3 => -6r5c5, stte
Also this is a nice pattern (loop):
- Code: Select all
*------------------------------------------------------------------------*
| 189 18 3 | 1279 5 6 | 2478 2478 489-7 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 89-7 |
|---------------------+-----------------------+--------------------------|
| 147 3 #46 | 8 9 2 | 16-47 5 #47 |
| 2 9 #86 | 4 167 5 | 16-78 3 #87 |
| 1478 178 5 | 167 3 17 | 489-167 489-67 2 |
|---------------------+-----------------------+--------------------------|
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
*------------------------------------------------------------------------*
r45c39 must have 47 in r4c39 or r45c9 and 78 in r5c39 or r45c9, and 6 in r45c3, and 7 in r45c9
- eleven
- Posts: 3096
- Joined: 10 February 2008
Re: January 22, 2019
by Cenoman » Tue Jan 22, 2019 11:20 pm
eleven wrote: (6=8)r6c246 - (8=6)r5c3 => -6r5c5, stte
Nice one !
eleven wrote:Also this is a nice pattern (loop):
- Code: Select all
*------------------------------------------------------------------------*
| 189 18 3 | 1279 5 6 | 2478 2478 489-7 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 89-7 |
|---------------------+-----------------------+--------------------------|
| 147 3 #46 | 8 9 2 | 16-47 5 #47 |
| 2 9 #86 | 4 167 5 | 16-78 3 #87 |
| 1478 178 5 | 167 3 17 | 489-167 489-67 2 |
|---------------------+-----------------------+--------------------------|
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
*------------------------------------------------------------------------*
r45c39 must have 47 in r4c39 or r45c9 and 78 in r5c39 or r45c9, and 6 in r45c3, and 7 in r45c9
I like it too.
But I can't find all eliminations tagged in your PM
With the 4 cells you have tagged #, I would write:
- as a Eureka-maniac: (4=6)r4c3 - (6=8)r5c3 - (8=7)r5c9 - (7=4)r4c9@ (XY-loop)
- as an ALS-maniac: doubly linked ALS-XZ (468)r45c3 -48- (478)r45c9 or doubly linked ALS-XZ (467)r4c39 -67- (678)r5c39
Whichever way I write it, I get the eliminations -4 r4c1, -47 r4c6, -78 r5c6, -7 r6c78, -7 r13c9 but I do not get -16 r6c78 as direct eliminations of the pattern. Of course these eliminations come immediately from the subsequent naked pair (16)r45c7. The difference is tiny: lclste finish instead of stte finish.
- Code: Select all
*------------------------------------------------------------------------*
| 189 18 3 | 1279 5 6 | 2478 2478 489-7 |
| 1589 158 7 | 129 148 148 | 3 28 6 |
| 6 4 2 | 79 78 3 | 5 1 89-7 |
|---------------------+-----------------------+--------------------------|
| 17-4 3 #46 | 8 9 2 | 16-47 5 #47 |
| 2 9 #86 | 4 167 5 | 16-78 3 #87 |
| 1478 178 5 | 167 3 17 | 14689-7 4689-7 2 |
|---------------------+-----------------------+--------------------------|
| 478 6 489 | 5 1478 1478 | 24789 24789 3 |
| 4578 578 489 | 3 2 478 | 46789 46789 1 |
| 3 2 1 | 67 4678 9 | 478 478 5 |
*------------------------------------------------------------------------*
Anyhow, thank you for spotting this nice pattern !
Cenoman
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- Location: France
Re: January 22, 2019
by eleven » Wed Jan 23, 2019 8:55 pm
Cenoman wrote:... but I do not get -16 r6c78 as direct eliminations of the pattern ...
Yes, it is just a direct consequence (so i did not call it ste, though the pair is obviously revealed).
This (rare) pattern is so easy to spot, different to other xy-loops or doubly linked ALS-XZ (like an x-wing compared to a franken fish).
- eleven
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- Joined: 10 February 2008
Re: January 22, 2019
by SpAce » Wed Jan 23, 2019 11:01 pm
eleven wrote:This (rare) pattern is so easy to spot, different to other xy-loops or doubly linked ALS-XZ (like an x-wing compared to a franken fish).
I was wondering if it has or should have a name. WXYZ-Ring, perhaps?
-
SpAce - Posts: 2671
- Joined: 22 May 2017
Re: January 22, 2019
by 999_Springs » Fri Jan 25, 2019 3:30 am
SpAce wrote:eleven wrote:This (rare) pattern is so easy to spot, different to other xy-loops or doubly linked ALS-XZ (like an x-wing compared to a franken fish).
I was wondering if it has or should have a name. WXYZ-Ring, perhaps?
it's an xy-ring, a very old pattern
- 999_Springs
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Re: January 22, 2019
by SpAce » Fri Jan 25, 2019 4:04 am
999_Springs wrote:it's an xy-ring, a very old pattern
Good to know, thanks. It's better than my not-so-serious suggestion anyway. I was just thinking that logically it might also be considered a (very weird) special case of a WXYZ-Wing since it has four digits and four cells. Quite a stretch, though.
-
SpAce - Posts: 2671
- Joined: 22 May 2017
Re: January 22, 2019
by rjamil » Fri Feb 22, 2019 9:03 pm
Hi,
I see this definition of XY-Ring very simple.
Here what I understand is defined in below exemplars form:
R. Jamil
999_Springs wrote:it's an xy-ring, a very old pattern
I see this definition of XY-Ring very simple.
Here what I understand is defined in below exemplars form:
- Code: Select all
XY-Ring Type 1 (Row-Column wise) (1 exemplar, multiple exclusions):
--------------+-------------+-----------
. -W . | . . . | . -Y .
-X wx -X | -X -X -X | -X xy -X
. -W . | . . . | . -Y .
36--------------+-------------+-----------
. -W . | . . . | . -Y .
. -W . | . . . | . -Y .
. -W . | . . . | . -Y .
--------------+-------------+-----------
. -W . | . . . | . -Y .
-Z wz -Z | -Z -Z -Z | -Z yz -Z
. -W . | . . . | . -Y .
--------------+-------------+-----------
XY-Ring Type 2 (Box-Line wise) (4 exemplars, multiple exclusions):
--------------+-------------+-----------
1) -WX wx -WX | -X -X -X | xy -XY -XY
-W -W -W | . . . | -Y -Y -Y
-WZ -WZ wz | -Z -Z -Z | -YZ yz -YZ
48--------------+-------------+-----------
--------------+-------------+----------- --------------+-------------+-----------
2) -WX wx -WX | -X -X -X | xy -XY -XY 3)-WX wx -WX | -X -X -X | xy -XY -XY
-W -W -W | . . . | -Y -Y -Y -W -W -W | . . . | -Y -Y -Y
-WZ wz -WZ | -Z -Z -Z | -YZ yz -YZ -WZ -WZ wz | -Z -Z -Z | yz -YZ -YZ
24--------------+-------------+-----------24--------------+-------------+-----------
. -W . | . . . | . . . . . . | . . . | -Y . .
. -W . | . . . | . . . . . . | . . . | -Y . .
. -W . | . . . | . . . . . . | . . . | -Y . .
--------------+-------------+----------- --------------+-------------+-----------
. -W . | . . . | . . . . . . | . . . | -Y . .
. -W . | . . . | . . . . . . | . . . | -Y . .
. -W . | . . . | . . . . . . | . . . | -Y . .
--------------+-------------+----------- --------------+-------------+-----------
--------------+-------------+-----------
4) -WX wx -WX | -X -X -X | xy -XY -XY
-W -W -W | . . . | -Y -Y -Y
-WZ wz -WZ | -Z -Z -Z | yz -YZ -YZ
12--------------+-------------+-----------
. -W . | . . . | -Y . .
. -W . | . . . | -Y . .
. -W . | . . . | -Y . .
--------------+-------------+-----------
. -W . | . . . | -Y . .
. -W . | . . . | -Y . .
. -W . | . . . | -Y . .
--------------+-------------+-----------
R. Jamil
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12 posts
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