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1 . . . . . . . 3
. 5 . 9 . . . 7 .
. 9 2 . . . 4 . .
. . . 8 . . . 5 .
. . . . 7 . . . .
. 7 . . . 9 . . .
. . 4 . . . 2 . .
. 8 . . . 6 . 9 .
3 . . 5 . . . . 1
d.pat.3
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• Page 1 of 1
Re: d.pat.3
by SteveG48 » Sun Jan 22, 2017 12:27 am
- Code: Select all
*--------------------------------------------------------------------*
| 1 4 7 |e26 f2568 25 | 9 d268 3 |
| 68 5 3 | 9 f1268 4 | 168 7 c268 |
| 68 9 2 | 7 f1368 13 | 4 168 5 |
*----------------------+----------------------+----------------------|
| 4 13 6 | 8 123 123 | 7 5 9 |
| 9 a13 8-5 | 346 7 a135 |b1368 12468 b268 |
| 2 7 h58 | 346 g136-5 9 | 1368 1468 bh68 |
*----------------------+----------------------+----------------------|
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
*--------------------------------------------------------------------*
(5=13)r5c26 - (1|3=268)b6p469 - 2r2c9 = r1c8 - (2=6)r1c4 - r123c5 = r6c5 - (6=58)r6c39 => -5 r5c3,r6c5 ; stte
Steve
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Re: d.pat.3
by Leren » Sun Jan 22, 2017 2:38 am
- Code: Select all
*-----------------------------------------------------------------------*
| 1 4 7 |B26 2568 25b | 9 268 3 |
| 68 5 3 | 9 Aa68-2a 4 | 168 7 268 |
| 68 9 2 | 7 1368 13 | 4 168 5 |
|-----------------------+-----------------------+-----------------------|
| 4 13 6 | 8 b123 123 | 7 5 9 |
| 9 13 58 |B346 7 Cc135c | 1368 12468 268 |
| 2 7 58 |B346 1356 9 | 1368 1468 68 |
|-----------------------+-----------------------+-----------------------|
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 b23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
*-----------------------------------------------------------------------*
3 Petal Death Blossom: Stem Cell r5c6 :
2 r2c5 - (2=1) r48c5 - (1) r5c6;
2 r2c5 - (2=3) r156c4 - (3) r5c6;
2 r2c5 - (2=5) r1c6 - (5) r5c6; => - 2 r2c5; stte
Leren
- Leren
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Re: d.pat.3
by ArkieTech » Sun Jan 22, 2017 4:02 am
- Code: Select all
*--------------------------------------------------------------------*
| 1 4 7 |a26 2568 e25 | 9 2682 3 |
| 68 5 3 | 9 d68-2 4 | 168 7 268 |
| 68 9 2 | 7 1368 13 | 4 168 5 |
|----------------------+----------------------+----------------------|
| 4 13 6 | 8 123 123 | 7 5 9 |
| 9 13 58 |b346 7 135 | 1368 12468 268 |
| 2 7 58 |b346 c1356 9 | 1368 1468 68 |
|----------------------+----------------------+----------------------|
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
*--------------------------------------------------------------------*
[(2=6)r1c4-r56c4=(6-5)r6c5=r1c5-(5=2)]-2r1c58,r2c5; ste
dan
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ArkieTech - Posts: 3355
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Re: d.pat.3
by sotir » Sun Jan 22, 2017 4:42 am
SE=7.1
SSTS
1)(4)r5c4=(4-2)r5c8=r1c8-(2=6)r1c4,=>r5c4<>6.UP=81
SSTS
1)(4)r5c4=(4-2)r5c8=r1c8-(2=6)r1c4,=>r5c4<>6.UP=81
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Re: d.pat.3
by Cenoman » Sun Jan 22, 2017 10:20 pm
- Code: Select all
+----------------+--------------------+----------------------+
| 1 4 7 |a26 b568-2 a25 | 9 68-2 3 |
| 68 5 3 | 9 b168-2 4 | 168 7 268 |
| 68 9 2 | 7 b1368 13 | 4 168 5 |
+----------------+--------------------+----------------------+
| 4 13 6 | 8 b123 123 | 7 5 9 |
| 9 13 58 | 346 7 135 | 1368 12468 268 |
| 2 7 58 | 346 56-13 9 | 1368 1468 68 |
+----------------+--------------------+----------------------+
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 b23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
+----------------+--------------------+----------------------+
Double restricted commons 5 & 6 between ALS's [256]r1c46 and [123568]r12348c5. The 7 cells r1c46, r12348c5 have 7 possible digits (freedom degree of the linked ALS's is 0) =>-2r1c8.r12c5, -13r6c5; stte
In the past I would have written such ALS chain like this:
[256]r1c46 -56- [123568]r12348c5 =>-2r1c8.r12c5, -13r6c5; stte
I need help to write it in Eureka...
The clearest demo of the eliminations is the PM (Pigeonhole Matrix).
- Code: Select all
|2r1|1c5|2c5|3c5|5r1|6b2|8c5|
-----+---+---+---+---+---+---+---+
r1c4| 2 | | | | | 6 | |
-----+---+---+---+---+---+---+---+
r1c6| 2 | | | | 5 | | |
-----+---+---+---+---+---+---+---+
r1c5| | | 2 | | 5 | 6 | 8 |
-----+---+---+---+---+---+---+---+
r2c5| | 1 | 2 | | | 6 | 8 |
-----+---+---+---+---+---+---+---+
r3c5| | 1 | | 3 | | 6 | 8 |
-----+---+---+---+---+---+---+---+
r4c5| | 1 | 2 | 3 | | | |
-----+---+---+---+---+---+---+---+
r8c5| | | 2 | 3 | | | |
-----+---+---+---+---+---+---+---+
Note that as the candidates in PM column #1 are also a weak inference set, the PM is a symmetric PM, i.e. any other column can be the first one. Any candidate in sight of the WIS of any PM column is eliminated =>-2r1c8.r12c5, -13r6c5; stte
Note these are exactly dan's loop eliminations.
Cenoman
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Re: d.pat.3
by eleven » Sun Jan 22, 2017 10:56 pm
Nice aspect, i am happy that my puzzle has such a thing.
The problem i have with the N cell / N candidates eliminations is, that i cannot spot them
(not that it cannot be expressed as AIC)
My solution was
(2=65)r1c46-(6|5=2)b5p2467 => -2r2c5,stte
The problem i have with the N cell / N candidates eliminations is, that i cannot spot them
(not that it cannot be expressed as AIC)My solution was
- Code: Select all
*---------------------------------------------------*
| 1 4 7 |a26 2568 a25 | 9 268 3 |
| 68 5 3 | 9 168-2 4 | 168 7 268 |
| 68 9 2 | 7 1368 13 | 4 168 5 |
|-------------+-----------------+-------------------|
| 4 13 6 | 8 b123 123 | 7 5 9 |
| 9 13 58 |b346 7 b135 | 1368 12468 268 |
| 2 7 58 |b346 1356 9 | 1368 1468 68 |
|-------------+-----------------+-------------------|
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
*---------------------------------------------------*
(2=65)r1c46-(6|5=2)b5p2467 => -2r2c5,stte
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Re: d.pat.3
by Leren » Mon Jan 23, 2017 3:07 am
Another interesting solution was :
2r2c5 => a = 6, b = 5, c = 8, d = 3, e = 1 => f <> 1368 => - 2 r2c5; stte
Leren
- Code: Select all
*--------------------------------------------------------------*
| 1 4 7 |a26 c2568 b25 | 9 268 3 |
| 68 5 3 | 9 168-2 4 | 168 7 268 |
| 68 9 2 | 7 f1368 13 | 4 168 5 |
|--------------------+--------------------+--------------------|
| 4 13 6 | 8 e123 123 | 7 5 9 |
| 9 13 58 | 346 7 135 | 1368 12468 268 |
| 2 7 58 | 346 1356 9 | 1368 1468 68 |
|--------------------+--------------------+--------------------|
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 d23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
*--------------------------------------------------------------*
2r2c5 => a = 6, b = 5, c = 8, d = 3, e = 1 => f <> 1368 => - 2 r2c5; stte
Leren
- Leren
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Re: d.pat.3
by StrmCkr » Mon Jan 23, 2017 10:44 am
- Code: Select all
.------------.----------------.------------------.
| 1 4 7 | 26 2568 25 | 9 268 3 |
| 68 5 3 | 9 1268 4 | 168 7 268 |
| 68 9 2 | 7 1368 13 | 4 168 5 |
:------------+----------------+------------------:
| 4 13 6 | 8 123 123 | 7 5 9 |
| 9 13 58 | 346 7 135 | 1368 12468 268 |
| 2 7 58 | 346 1356 9 | 1368 1468 68 |
:------------+----------------+------------------:
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 23 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
'------------'----------------'------------------'
ALS - double linked XZ-Rule: A=r2c179 {1268}, B=r139c8 {1268}, X=1,2 => r2c5,r56c8<>6, r2c5,r56c8<>8
aka W-Ring {continuous grouped }
still leaves the puzzle with a naked triple, but its a fun move
Last edited by StrmCkr on Mon Jan 23, 2017 11:35 am, edited 1 time in total.
Some do, some teach, the rest look it up.
stormdoku
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StrmCkr - Posts: 1425
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Re: d.pat.3
by JC Van Hay » Mon Jan 23, 2017 11:23 am
Cenoman wrote:In the past I would have written such ALS chain like this:
[256]r1c46 -56- [123568]r12348c5 =>-2r1c8.r12c5, -13r6c5; stte
I need help to write it in Eureka...
- Code: Select all
]+------------+---------------------+------------------+
| 1 4 7 | (26) (568-2) (25) | 9 68-2 3 |
| 68 5 3 | 9 (168-2) 4 | 168 7 268 |
| 68 9 2 | 7 (1368) 13 | 4 168 5 |
+------------+---------------------+------------------+
| 4 13 6 | 8 (123) 123 | 7 5 9 |
| 9 13 58 | 346 7 135 | 1368 12468 268 |
| 2 7 58 | 346 56-13 9 | 1368 1468 68 |
+------------+---------------------+------------------+
| 5 6 4 | 1 9 8 | 2 3 7 |
| 7 8 1 | 23 (23) 6 | 5 9 4 |
| 3 2 9 | 5 4 7 | 68 68 1 |
+------------+---------------------+------------------+
- Code: Select all
2r1c4 6r1c4
................................
6r1c5 . 2r1c5 8r1c5 5r1c5.
6r2c5 .1r2c5 2r2c5 8r2c5 .
6r3c5 .1r3c5 3r3c5 8r3c5 .
.1r4c5 2r4c5 3r3c5 .
. 2r8c5 3r3c5 .
................................
2r1c6 5r1c6
V
Loop[(2=6)r1c4-(6=12358)r12348c5-(5=2)r1c6]
|
V
r1c4=2, r1c6=5, r12348c5=12368 or r1c4=6, r12348c5=12358, r1c6=2
|
V
[2r1c4==2r1c6]-2r12c5(cannibalism).2r1c8, [(12368)r12348c5==(12358)r12348c5]-(13)r6c5
Note : there is always a simpler interpretation of a cannibalized exclusion.
For example, here : ALS-XZ Rule : [(2=6)r1c4-(6=1238)r2348c5]-2r1c5; [NT(123)r348c5=NQ(2568)r1c456.r3c5]-2r2c5
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- Posts: 719
- Joined: 22 May 2010
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