October 20, 2018

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October 20, 2018

Postby ArkieTech » Sat Oct 20, 2018 9:43 am

Code: Select all
 *-----------*
 |1..|.7.|..5|
 |..9|1.8|4..|
 |.2.|...|.6.|
 |---+---+---|
 |3..|...|..7|
 |.8.|9.4|.5.|
 |...|...|...|
 |---+---+---|
 |..4|.6.|9..|
 |.3.|...|.8.|
 |...|.3.|...|
 *-----------*


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dan
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Re: October 20, 2018

Postby SpAce » Sat Oct 20, 2018 12:42 pm

Code: Select all
.-------------.--------------------.-----------.
|  1    4  8  | 36      7     36   | 2   9  5  |
|  5    6  9  | 1       2     8    | 4   7  3  |
|  7    2  3  |b45      49    59   | 1   6  8  |
:-------------+--------------------+-----------:
|  3    9  1  | 26      5     26   | 8   4  7  |
|  6    8  7  | 9       1     4    | 3   5  2  |
|  4    5  2  | 37      8     37   | 6   1  9  |
:-------------+--------------------+-----------:
|B(2)8  7  4  |c58(#2)  6   d(5)-2 | 9   3  1  |
|  29   3  56 |a27#4    49    1    | 57  8  46 |
| B89   1  56 |A48#7    3     79   | 57  2  46 |
'-------------'--------------------'-----------'

BUG+3

(2)r7c4
||
(4)r8c4 - (4=5)r3c4 - r7c4 = (5)r7c6
||
(7-8)r9c4 = (82)r97c1

=> -2 r7c6; stte

...or as an AIC:

(2)r7c4 = [(5)r7c6 = r7c7 - (5=4)r3c4 - r8c4 =[BUG+2]= (7-8)r9c4 = (82)r97c1] => -2 r7c6; stte
Last edited by SpAce on Thu Dec 13, 2018 8:14 am, edited 1 time in total.
Code: Select all
   *             |    |               |    |    *
        *        |=()=|    /  _  \    |=()=|               *
            *    |    |   |-=( )=-|   |    |      *
     *                     \  ¯  /                   *   
SpAce
 
Posts: 1021
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Re: October 20, 2018

Postby Sudtyro2 » Sat Oct 20, 2018 3:42 pm

Code: Select all
+--------------+---------------+-------------+
|  1    4   8  |  36    7   36 | 2   9   5   |
|  5    6   9  |  1     2   8  | 4   7   3   |
|  7    2   3  |  45   d49 c59 | 1   6   8   |
+--------------+---------------+-------------+
|  3    9   1  |  26    5   26 | 8   4   7   |
|  6    8   7  |  9     1   4  | 3   5   2   |
|  4    5   2  |  37    8   37 | 6   1   9   |
+--------------+---------------+-------------+
|  8-2  7   4  | a25+8  6  b25 | 9   3   1   |
| f29   3   56 |  247  e49  1  | 57  8   46  |
|  9-8  1   56 |  478   3   79 | 57  2   46  |
+--------------+---------------+-------------+

Almost NP(25)r7c46:
NP = [(8-5)r7c4 = r7c6 - (5=9)r3c6 - r3c5 = r8c5 - 9r8c1] = 2r8c1 => -2 r7c1; stte

Or, using the bracketed chain segment above...
In 8s, a finned 1-Fish r7\c1 + rfr7c4:
[...] = 9r9c1 => -8 r9c1; stte

SteveC
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October 20, 2018

Postby Yogi » Thu Dec 13, 2018 7:58 am

148.7.295569128473723...168391.5.847687914352452.8.619.74.6.931.3...1.8..1..3..2.
Incredible puzzle! Maybe not all that hard, but how often do you get BUG+3 where the three 3-candidate cells are in the same Box AND the same Row or column?
I found that the BUG-killing candidates all led to 6r4c4, 2r4c6 stte.
Yogi
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