January 22, 2018

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January 22, 2018

Postby ArkieTech » Mon Jan 22, 2018 12:56 pm

Code: Select all
 *-----------*
 |...|..9|...|
 |...|8.2|46.|
 |..3|5..|2.9|
 |---+---+---|
 |...|...|.41|
 |.17|2.4|38.|
 |63.|...|...|
 |---+---+---|
 |1.9|..7|5..|
 |.46|3.1|...|
 |...|4..|...|
 *-----------*


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dan
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Re: January 22, 2018

Postby Cenoman » Mon Jan 22, 2018 2:02 pm

Code: Select all
 +----------------------+--------------------+------------------------+
 |  2457   6      125   |  17   c1347   9    | c78-1    157   c3578   |
 |  57     9      15    |  8     137    2    |  4       6      357    |
 |  478    78     3     |  5    b147    6    |  2      a17     9      |
 +----------------------+--------------------+------------------------+
 |  258    258    258   |  79    67     3    |  679     4      1      |
 |  9      1      7     |  2     56     4    |  3       8      56     |
 |  6      3      4     |  179   1578   58   |  79      2579   257    |
 +----------------------+--------------------+------------------------+
 |  1      28     9     |  6     28     7    |  5       3      4      |
 |  2578   4      6     |  3     2589   1    |  789     279    278    |
 |  3      2578   258   |  4     2589   58   |  16789   1279   2678   |
 +----------------------+--------------------+------------------------+

(1)r3c8 = (1-4)r3c5 = (438)r1c579 => -1 r1c7; stte
Cenoman
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Re: January 22, 2018

Postby 200e200w » Mon Jan 22, 2018 4:40 pm

Code: Select all
.---------------------.---------------------.---------------------.
| 2457   6      125   | 17     D1347  9     | 178    157    3578  |
| aA57   9      b'15  | 8     c'fE137 2     | 4      6      357   |
| B478   B78    3     | 5      C147   6     | 2      17     9     |
:---------------------+---------------------+---------------------:
| 258    258    258   | 79     e67    3     | 679    4      1     |
| 9      1      7     | 2      d56    4     | 3      8      56    |
| 6      3      4     | 179    1578   58    | 79     2579   257   |
:---------------------+---------------------+---------------------:
| 1      28     9     | 6      28     7     | 5      3      4     |
| b2578  4      6     | 3      c2589  1     | 789    279    278   |
| 3      2578   258   | 4      2589   58    | 16789  1279   2678  |
'---------------------'---------------------'---------------------'

Kraken Cell (r2c1)
(5)r2c1 [ - (5=1)r2c3 - r2c5 ] - r8c1 = r8c5 - (5=6)r5c5 - (6=7)r4c5 - (7=3)r2c5
(7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5
=> r2c5=3; stte
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Re: January 22, 2018

Postby Ngisa » Mon Jan 22, 2018 5:58 pm

Code: Select all
+-------------------------+------------------------+-----------------------------+
|b2457      6         125 | 17       c1347      9  |e178         157       d3578 |
| 57        9         15  | 8         137       2  | 4           6          357  |
|a478      a78        3   | 5         147       6  | 2          a17         9    |
+-------------------------+------------------------+-----------------------------+
| 258       258       258 | 79        67        3  | 679         4          1    |
| 9         1         7   | 2         56        4  | 3           8          56   |
| 6         3         4   | 179       1578      58 | 79          2579       257  |
+-------------------------+------------------------+-----------------------------+
| 1         28        9   | 6         28        7  | 5           3          4    |
| 2578      4         6   | 3         2589      1  | 789         279        278  |
| 3         2578      258 | 4         2589      58 |f16789       279-1      2678 |
+-------------------------+------------------------+-----------------------------+

(1=4)r3c128 - r1c1 = (4-3)r1c5 = (3-8)r1c9 = (8-1)r1c7 = (1)r9c7 => - 1 r9c8; stte

Clement
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Re: January 22, 2018

Postby pjb » Mon Jan 22, 2018 9:47 pm

Code: Select all
b2457    6      b125    |b17     1347   9      | 78-1  b157    3578   
 57      9       15     | 8      137    2      | 4      6      357   
a478    a78      3      | 5      147    6      | 2     a17     9     
------------------------+----------------------+---------------------
 258     258     258    | 79     67     3      | 679    4      1     
 9       1       7      | 2      56     4      | 3      8      56     
 6       3       4      | 179    1578   58     | 79     2579   257   
------------------------+----------------------+---------------------
 1       28      9      | 6      28     7      | 5      3      4     
 2578    4       6      | 3      2589   1      | 789    279    278   
 3       2578    258    | 4      2589   58     | 16789  1279   2678   

(1=4)r3c128 - (4=1)r1c1348 => -1 r1c7; stte
or
(1)r3c8 = (1-4)r3c5 = (4-3)r1c5 = (3-8)r1c9 = (8-1)r1c7 = r9c7 => -1 r1c7, r9c8; stte

Phil
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Re: January 22, 2018

Postby Cenoman » Mon Jan 22, 2018 10:04 pm

200e200w wrote:
Code: Select all
.---------------------.---------------------.---------------------.
| 2457   6      125   | 17     D1347  9     | 178    157    3578  |
| aA57   9      b'15  | 8     c'fE137 2     | 4      6      357   |
| B478   B78    3     | 5      C147   6     | 2      17     9     |
:---------------------+---------------------+---------------------:
| 258    258    258   | 79     e67    3     | 679    4      1     |
| 9      1      7     | 2      d56    4     | 3      8      56    |
| 6      3      4     | 179    1578   58    | 79     2579   257   |
:---------------------+---------------------+---------------------:
| 1      28     9     | 6      28     7     | 5      3      4     |
| b2578  4      6     | 3      c2589  1     | 789    279    278   |
| 3      2578   258   | 4      2589   58    | 16789  1279   2678  |
'---------------------'---------------------'---------------------'

Kraken Cell (r2c1)
(5)r2c1 [ - (5=1)r2c3 - r2c5 ] - r8c1 = r8c5 - (5=6)r5c5 - (6=7)r4c5 - (7=3)r2c5
(7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5
=> r2c5=3; stte


Welcome on this forum, 200e200w !

I understand your path, no trouble with your logic. I am a bit surprised by your presentation, notably by your use of brackets "[...]" and the way you address the strong link 1r2c5=3r2c5=7r2c5.

My concerns are:
(5)r2c1 [ - (5=1)r2c3 - r2c5 ] - r8c1 = r8c5 - (5=6)r5c5 - (6=7)r4c5 - (7=3)r2c5

where a strong link (7=3)r2c5 is written without any reference to the third candidate of the trivalue cell r2c5,
and the bracket [ - (5=1)r2c3 - r2c5 ] starting with a weak link symbol, and ending on a weak link.
That must be read as the following net:

Code: Select all
          (5=1)r2c3          -             r2c5
(5)r2c1 /                                       \\
||      \ r8c1 = r8c5 - (5=6)r5c5 - (6=7)r4c5 - (7=3)r2c5
(7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5


An equivalent logic:
(1)r2c5 - (1=5)r2c3 - (5=7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5
(3)r2c5
(7)r2c5 - (7=6)r4c5 - (6=5)r5c5 - r8c5 = r8c1 - (5=7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5
=>r2c5=3

I would write this either as above, with a drawback of repeting the subchain (5=7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5,
or in line as follows (12 nodes as in your own writing):
(3)r2c5 = [(5=1)r2c3 - (1*=7)r2c5 - (7=6)r4c5 - (6=5)r5c5 - r8c5 = (5)r8c1] - (5=7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5

where the AIC embedded into the "[...]" is linked on one side by a strong link to the node (1*=7)r2c5 tagged with a "*", and on the other side by a weak link common to both ends of the embedded chain.
This is the standard use of the "[...]" in Eureka that I have in mind. I may be wrong. Anyone to confirm ?

As already told many times, the important is substance, not notation. Please consider this comment as friendly and go on posting your solutions.
Cenoman
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Re: January 22, 2018

Postby 200e200w » Tue Jan 23, 2018 10:26 am

Hi Cenoman,

Thanks for this comment. I'll change the notation of Forcing Nets in later puzzles to something like what have you wrote:
Code: Select all
          (5=1)r2c3          -             r2c5
(5)r2c1 /                                       \\
||      \ r8c1 = r8c5 - (5=6)r5c5 - (6=7)r4c5 - (7=3)r2c5
(7)r2c1 - (7=48)r3c12 - (4)r3c5 = (4-3)r1c5 = r2c5


200e200w
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