November 28, 2018

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November 28, 2018

Postby ArkieTech » Wed Nov 28, 2018 11:31 am

Code: Select all
 *-----------*
 |...|...|...|
 |.86|4..|...|
 |.7.|.69|.31|
 |---+---+---|
 |1..|9..|7..|
 |84.|1.7|.63|
 |..7|..3|..8|
 |---+---+---|
 |69.|37.|.2.|
 |...|..4|57.|
 |...|...|...|
 *-----------*


Play/Print this puzzle online
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Re: November 28, 2018

Postby SpAce » Wed Nov 28, 2018 12:52 pm

First thing I found, no time to look for better (stte) solutions right now.

Code: Select all
.----------------------.--------------------.-------------------.
| c23459  1235   12359 | 7     2358   258   |  6     c48     25 |
|  235    8      6     | 4     1235   125   |  2-9   d5(9)   7  |
|  245    7      25    | 258   6      9     |  48     3      1  |
:----------------------+--------------------+-------------------:
|  1      2356   235   | 9     2458   2568  |  7     d45     25 |
|  8      4     a259   | 1     25     7     | a2(9)   6      3  |
| b259    256    7     | 256   245    3     |  14     145-9  8  |
:----------------------+--------------------+-------------------:
|  6      9      158   | 3     7      158   |  18     2      4  |
|  23     123    1238  | 268   1289   4     |  5      7      69 |
|  7      125    4     | 2568  12589  12568 |  3      18     69 |
'----------------------'--------------------'-------------------'

9r5c(7=3) - r6c1 = (94)r1c18 - (4=59)r42c8 => -9 r2c7,r6c8; lste

Edit: A shortened version borrowed from eleven's solution:

(9)r6c1 = (9-4)r1c1 = (459)r142c8 => -9 r6c8; lcte

Added: This is certainly not better, but it's stte...

Code: Select all
.---------------------.---------------------.--------------------.
|  23459  1235  12359 |  7     2358   258   |  6    ^(4)8     25 |
| ^235    8     6     |  4     1235   125   |  29     59      7  |
| ^245    7    ^25    | ^258   6      9     | ^48     3       1  |
:---------------------+---------------------+--------------------:
|  1      2356  235   |  9     2458   2568  |  7      5-4     25 |
|  8      4     259   |  1     25     7     |  29     6       3  |
| ^259    256   7     | ^256   245    3     | ^1(4)  ^1(4)59  8  |
:---------------------+---------------------+--------------------:
|  6      9     158   |  3     7      158   |  18     2       4  |
| ^23     123   1238  | ^268   1289   4     |  5      7       69 |
|  7     ^125   4     | *2568* 12589  12568 |  3     ^18      69 |
'---------------------'---------------------'--------------------'

Multi Kraken Cell (2568)r9c4


2r9c4 - 2r68c4
||      ||
||      5r6c4 - 5r6c81
||      ||      ||
||      ||      14r6c87 @
||      ||      ||
||      ||      4r6c8 @
||      ||      ||
||      ||      92r6c81 - (2=3)r8c1 - (3=254)b1p497 - 4b3p(7=2) @
||      ||
||      68r68c4 - r3c4 = (8,4)b3p72 @
||
5r9c4 - 5r9c2
||      ||
||      1r9c2 - (1=84)r91c8 @
||      ||
||      23b7p84 - (3=254)b1p497 - 4b3p(7=2) @
||
6r9c4 - 6r8c4
||      ||
||      23r8c41 - (3=254)b1p497 - 4b3p(7=2) @
||      ||
||      8r(8-3)c4 = (8,4)b3p72 @
||
8r(9-3)c4 = (8,4)b3p72 @


=> -4 r4c8; stte
Last edited by SpAce on Wed Nov 28, 2018 11:14 pm, edited 1 time in total.
Code: Select all
   *             |    |               |    |    *
        *        |=()=|    /  _  \    |=()=|               *
            *    |    |   |-=( )=-|   |    |      *
     *                     \  ¯  /                   *   
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Re: November 28, 2018

Postby eleven » Wed Nov 28, 2018 9:23 pm

Code: Select all
 *-------------------------------------------------------------------------*
 | db 3459-2  1235   12359   |  7      2358    258     |  6   g48     25   |
 |  b 235     8      6       |  4      1235    125     |  29  g59     7    |
 | eb 45-2    7     a25      |  258    6       9       | f48   3      1    |
 |---------------------------+-------------------------+-------------------|
 |    1       2356   235     |  9      2458    2568    |  7   g45     25   |
 |    8       4      259     |  1      25      7       |  29   6      3    |
 |  c 259     256    7       |  256    245     3       |  14   145-9  8    |
 |---------------------------+-------------------------+-------------------|
 |    6       9      158     |  3      7       158     |  18   2      4    |
 |    23      123    1238    |  268    1289    4       |  5    7      69   |
 |    7       125    4       |  2568   12589   12568   |  3    18     69   |
 *-------------------------------------------------------------------------*

(2=5)r3c3 - r123 = (5-9)r6c1 = (9-4)r1c1 = 4r3c1 - (4=8)r3c7 - (8=9)r124c8 => -2r13c1, -9r6c8; stte
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Re: November 28, 2018

Postby SteveG48 » Wed Nov 28, 2018 10:22 pm

eleven wrote:
Code: Select all
 *-------------------------------------------------------------------------*
 | db 3459-2  1235   12359   |  7      2358    258     |  6   g48     25   |
 |  b 235     8      6       |  4      1235    125     |  29  g59     7    |
 | eb 45-2    7     a25      |  258    6       9       | f48   3      1    |
 |---------------------------+-------------------------+-------------------|
 |    1       2356   235     |  9      2458    2568    |  7   g45     25   |
 |    8       4      259     |  1      25      7       |  29   6      3    |
 |  c 259     256    7       |  256    245     3       |  14   145-9  8    |
 |---------------------------+-------------------------+-------------------|
 |    6       9      158     |  3      7       158     |  18   2      4    |
 |    23      123    1238    |  268    1289    4       |  5    7      69   |
 |    7       125    4       |  2568   12589   12568   |  3    18     69   |
 *-------------------------------------------------------------------------*

(2=5)r3c3 - r123 = (5-9)r6c1 = (9-4)r1c1 = 4r3c1 - (4=8)r3c7 - (8=9)r124c8 => -2r13c1, -9r6c8; stte


Eleven, I see where you get -9r6c8, and I see where you also get -2r2c1, but I'm missing how you get -2r13c1. Where am I going wrong?
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Re: November 28, 2018

Postby eleven » Wed Nov 28, 2018 10:31 pm

If you look at the blue digits, r3c3=2 or r1c1=9 and r3c1=4 (or all are true). In any case 2 cannot be in r13c1.
You could also write (2=5)r3c3 - r123 = (5-9)r6c1 = hp 49r13c1 ... [edit2] ah, you just proposed that
Last edited by eleven on Wed Nov 28, 2018 11:12 pm, edited 2 times in total.
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Re: November 28, 2018

Postby SpAce » Wed Nov 28, 2018 11:08 pm

SteveG48 wrote:Eleven, I see where you get -9r6c8, and I see where you also get -2r2c1, but I'm missing how you get -2r13c1. Where am I going wrong?

eleven wrote:If you look at the blue digits, r3c3=2 or r1c1=9 and r3c1=4 (or all are true). In any case 2 cannot be in r13c1.

I wondered the same thing for a while. I think it would have been clearer as a combined node: ...(5-9)r6c1 = (94)r13c1...

A very cool "Hydra" solution anyway! It also made me notice that I'd used an inefficient chain myself :? Using eleven's chain my solution would have been:

(9)r6c1 = (9-4)r1c1 = (459)r142c8 => -9 r6c8; lcte
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Re: November 28, 2018

Postby SteveG48 » Wed Nov 28, 2018 11:28 pm

Thanks, guys.
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