February 28, 2017

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February 28, 2017

Postby ArkieTech » Tue Feb 28, 2017 12:31 am

Code: Select all
 *-----------*
 |..6|..8|37.|
 |...|.39|46.|
 |..9|.6.|..8|
 |---+---+---|
 |.12|...|...|
 |...|6.2|...|
 |...|...|18.|
 |---+---+---|
 |3..|.5.|7..|
 |.67|49.|...|
 |.54|3..|9..|
 *-----------*


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dan
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Re: February 28, 2017

Postby SteveG48 » Tue Feb 28, 2017 12:49 am

Code: Select all
 *-----------------------------------------------------------*
 | 15    24    6     | 15    2-4   8     | 3     7     9     |
 | 1578  278   158   | 1257  3     9     | 4     6     15    |
 | 1457  3     9     | 157   6    a45    | 2    a15    8     |
 *-------------------+-------------------+-------------------|
 | 4579  1     2     | 58   c478   35-4  | 6     349   347   |
 | 4789  478   38    | 6     1     2     | 5     349   347   |
 | 6     47    35    | 9    c47    35    | 1     8     2     |
 *-------------------+-------------------+-------------------|
 | 3     9     18    | 28    5     6     | 7     124   14    |
 | 2     6     7     | 4     9     1     | 8     35    35    |
 | 18    5     4     | 3    b28    7     | 9    b12    6     |
 *-----------------------------------------------------------*


(4=15)r3c68 - (1=28)r9c58 - (8=47)r46c5 => -4 r1c5,r4c6 ; stte
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Re: February 28, 2017

Postby Leren » Tue Feb 28, 2017 1:42 am

Code: Select all
*--------------------------------------------------------------*
| 15    24    6      | 15   a24    8      | 3     7     9      |
| 1578  278   158    | 1257  3     9      | 4     6     15     |
| 1457  3     9      | 157   6    b45     | 2    c15    8      |
|--------------------+--------------------+--------------------|
| 4579  1     2      | 58    478   345    | 6     349   347    |
| 4789  478   38     | 6     1     2      | 5     349   347    |
| 6     47    35     | 9     47    35     | 1     8     2      |
|--------------------+--------------------+--------------------|
| 3     9     18     | 28    5     6      | 7     124   14     |
| 2     6     7      | 4     9     1      | 8     35    35     |
| 18    5     4      | 3     8-2   7      | 9    d12    6      |
*--------------------------------------------------------------*

XY Chain : (2=4) r1c5 - (4=5) r3c6 - (5=1) r3c8 - (1=2) r9c8; => - 2 r9c5; stte

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Re: February 28, 2017

Postby Alex_Popov_92 » Tue Feb 28, 2017 3:17 am

Code: Select all
*--------------------------------------------------------------*
| 15    24    6      | 15   a24    8      | 3     7     9      |
| 1578  278   158    | 1257  3     9      | 4     6     15     |
| 1457  3     9      | 157   6    f45     | 2    e15    8      |
|--------------------+--------------------+--------------------|
| 4579  1     2      | 58    478   345    | 6     349   347    |
| 4789  478   38     | 6     1     2      | 5     349   347    |
| 6     47    35     | 9     47    35     | 1     8     2      |
|--------------------+--------------------+--------------------|
| 3     9     18     | 28    5     6      | 7     124   14     |
| 2     6     7      | 4     9     1      | 8     35    35     |
| c18   5     4      | 3     b28   7      | 9    d12    6      |
*--------------------------------------------------------------*



Please, Leren, excuse me for posting almost your solution, I wrote it
quite a while ago but kept checking
the Eureka notation. I am just posting
this to see if notation is right. Otherwise it was a piece of cake.
Great thank you, Steve!
BTW I like a lot your three ALSes XY-wing of solution! I am hoping I'll produce one of my own soon.
Very effective!
(SteveG48) You explained a lot and I HOPE I DID NOT BOTCH UP ALL.
here it is :
(4-2)r1c5 = (2-8)r9c5 = (8-1)r9c1 = (1-2)r9c8 = (5-1)r3c8 =
(4-5)r3c6 => r1c5<>4 stte

I did not know how to proceed straightforward from r9c5 to r9c8
so I included (unnecessarily) r9c1. Maybe just had to skip
(8-1)r9c1? Now I understand what I am writing! It seems logical!
Things became definitely clear. The first step is done!
Thank you ALL, guys, especially SteveG48, Leren, Eleven!
(It'll take some time all this (notation business) to shake down)
Last edited by Alex_Popov_92 on Tue Feb 28, 2017 12:04 pm, edited 1 time in total.
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Re: February 28, 2017

Postby Leren » Tue Feb 28, 2017 3:55 am

Alex_Popov_92 wrote : (4-2)r1c5 = (2-8)r9c5 = (8-1)r9c1 = (1-2)r9c8 = (5-1)r3c8 = (4-5)r3c6 => r1c5<>4 stte

I can improve your notation and logic a bit by writing your AIC as : (4-2) r1c5 = r9c5 - (2=1) r9c8 - (1=5) r3c8 - (5=4) r3c6 - 4 r1c5 => r1c5<>4

This is a discontinuous loop starting and ending with Weak links on 4 r1c5, which proves it False. I've eliminated r9c1 in this formulation.

Another formulation is (4=2) r469c5 - (2=1) r9c8 - (1=5) r3c8 - (5=4) r3c6 => - 4 r1c5. This has the "advantage" of starting end ending on Strong links, which some purists favour.

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Re: February 28, 2017

Postby Cenoman » Tue Feb 28, 2017 9:05 am

Code: Select all
 +--------------------+--------------------+------------------+
 | 15     24    6     | 15    b24    8     | 3    7     9     |
 | 1578   278  e158   | 1257   3     9     | 4    6    f15    |
 | 1457   3     9     | 157    6    a45    | 2    1-5   8     |
 +--------------------+--------------------+------------------+
 | 4579   1     2     | 58     478   345   | 6    349   347   |
 | 4789   478   38    | 6      1     2     | 5    349   347   |
 | 6      47    35    | 9      47    35    | 1    8     2     |
 +--------------------+--------------------+------------------+
 | 3      9    d18    | 28     5     6     | 7    124   14    |
 | 2      6     7     | 4      9     1     | 8    35    35    |
 |c18     5     4     | 3     b28    7     | 9    12    6     |
 +--------------------+--------------------+------------------+

(5=4)r3c6 - (4=8)r19c5 - (8=1)r9c1 - r7c3 = r2c3 - (1=5)r2c9 => -5 r3c8; stte

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Re: February 28, 2017

Postby bat999 » Tue Feb 28, 2017 2:05 pm

Code: Select all
.----------------.------------------.--------------.
| 15    24   6   | a15    24    8   | 3   7    9   |
| 1578  278  158 | a1257  3     9   | 4   6    15  |
| 1457  3    9   | a157   6     4-5 | 2  b15   8   |
:----------------+------------------+--------------:
| 4579  1    2   |  58    478   345 | 6   349  347 |
| 4789  478  38  |  6     1     2   | 5   349  347 |
| 6     47   35  |  9     47    35  | 1   8    2   |
:----------------+------------------+--------------:
| 3     9    18  | a28    5     6   | 7   124  14  |
| 2     6    7   |  4     9     1   | 8   35   35  |
| 18    5    4   |  3    b28    7   | 9  b12   6   |
'----------------'------------------'--------------'
(5=8)r1237c4 - (8=5)r3c8,r9c58 => -5 r3c6; stte
8-)
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