The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |...|..5|4..|
 |.2.|.6.|.5.|
 |...|7..|..1|
 |---+---+---|
 |..7|1..|...|
 |.5.|..8|...|
 |6..|.7.|.8.|
 |---+---+---|
 |1..|...|7..|
 |.4.|..2|.6.|
 |..3|...|..2|
 *-----------*


Play/Print this puzzle online

[SpAce]

Code: Select all

.---------------.---------------------.---------------.
| e3(9)  7   1  | 2       8       5   | 4   39   6    |
|  4     2   8  | 39      6       1   | 39  5    7    |
|  5     39  6  | 7      a349    b349 | 8   2    1    |
:---------------+---------------------+---------------:
|  238   38  7  | 1       23459  b349 | 6   349  3459 |
| d23    5   49 | 6     cd2349    8   | 1   7    349  |
|  6     1   49 | 3459    7      b349 | 2   8    3459 |
:---------------+---------------------+---------------:
|  1     89  2  | 3589    359     6   | 7   349  3489 |
|  7     4   5  | 389     1       2   | 39  6    389  |
|  8-9   6   3  | 489   ae4(9)    7   | 5   1    2    |
'---------------'---------------------'---------------'

(9,4)r93c5 = (4,39)r346c6 - (3|9)r5c5 = (2,3)r5c51|(4)r5c5 - (34=9)r1c1,r9c5 => -9 r9c1; stte

Matrix (added): Show

Code: Select all

6x6 PM/TM:

9r9,9c1  4c5   4c6     39b5     2r5   3c1  |
-------------------------------------------+----
 9r9c5  4r9c5                              | 9N5
        4r3c5 4r3c6                        | 4R3
              4r46c6  39r46c6              |36N6
        4r5c5        (3|9)r5c5 2r5c5       | 5N5
                               2r5c1 3r5c1 | 5N1
 9r1c1                               3r1c1 | 1N1
-------------------------------------------+----           
-9r9c1                                     |

Alien 7x8-Fish (Rank 1) {4R3 15N1 59N5 36N6} \ {2r5 9r9 39c1 4c56 39b5} => -9 r9c1

[Leren]

Code: Select all

*--------------------------------------------*
| 39   7  1  | 2     8     5   | 4  39  6    |
| 4    2  8  | 39    6     1   | 39 5   7    |
| 5    39 6  | 7     349   349 | 8  2   1    |
|------------+-----------------+-------------|
|e23-8 38 7  | 1    d23459 349 | 6  349 3459 |
| 23   5  49 | 6     2349  8   | 1  7   349  |
| 6    1  49 |c3459  7     349 | 2  8   3459 |
|------------+-----------------+-------------|
| 1    89 2  | 3589  359   6   | 7  349 3489 |
| 7    4  5  | 389   1     2   | 39 6   389  |
|a89   6  3  |b489   49    7   | 5  1   2    |
*--------------------------------------------*

(8) r9c1 = (8-4) r9c4 = (4-5) r6c4 = (5-2) r4c5 = (2) r4c1 => - 8 r4c1; stte

Leren

[Cenoman]

Code: Select all

 +------------------+-----------------------+--------------------+
 |  39    7    1    |  2      8       5     |  4    39    6      |
 |  4     2    8    |  39     6       1     |  39   5     7      |
 |  5     39   6    |  7      349     349   |  8    2     1      |
 +------------------+-----------------------+--------------------+
 | y238   38   7    |  1     y23459  c349   |  6    349  y3459   |
 | b23    5    49*  |  6     c2349    8     |  1    7    a349*   |
 |  6     1   B49*  |Cd3459   7     Bc349   |  2    8   xA3459*  |
 +------------------+-----------------------+--------------------+
 |  1     89   2    |  3589   359     6     |  7    349   3489   |
 |  7     4    5    |  389    1       2     |  39   6     389    |
 | z89    6    3    |De49-8   49      7     |  5    1     2      |
 +------------------+-----------------------+--------------------+

UR(49)r56c39 using internals
(3)r5c9 - (3=2)r5c1 - (239=4)b5p359 - r6c4 = (4)r9c4
(3)r6c9 - (39=4)r6c36 - r6c4 = (4)r9c4
(5)r6c9 - (5,2,8)r4c951 = (8)r9c1
=> -8r9c4; ste

[SteveG48]

Code: Select all

 *---------------------------------------------------------------------*
 |  9-3    7      1      | 2      8      5      | 4     f39     6      |
 |  4      2      8      |d39     6      1      |e39     5      7      |
 |  5      39     6      | 7     b349    349    | 8      2      1      |
 *-----------------------+----------------------+----------------------|
 | f238    38     7      | 1      23459  349    | 6      349    3459   |
 |af23     5      49     | 6     b2349   8      | 1      7      349    |
 |  6      1      49     | 3459   7      349    | 2      8      3459   |
 *-----------------------+----------------------+----------------------|
 |  1      89     2      |c3589  b359    6      | 7      349    3489   |
 |  7      4      5      |c389    1      2      | 39     6      389    |
 |de89     6      3      |c489  bc49     7      | 5      1      2      |
 *---------------------------------------------------------------------*


(3=2)r5c1 - (2=3459)r3579c5 - (5=3489)b8p1478 - 9r9c1&r2c4 = (8|9)r2c7,r9c1 - (89=3)r1c8,r45c1 => -3 r1c1 ; stte

[SpAce]

(3=2)r5c1 - (2=3459)r3579c5 - (5=3489)b8p1478 - 9r9c1&r2c4 = (8|9)r2c7,r9c1 - (89=3)r1c8,r45c1 => -3 r1c1 ; stte

Nice link, Steve!

[SteveG48]

Thanks. I was afraid that no one would bother to decipher that thing.

[SpAce]

Thanks. I was afraid that no one would bother to decipher that thing.

Oh, I love that when something looks interesting! The logic of the part in question was clever and not obvious, which is why I liked it. Of course it can be made more obvious, but that takes out some of the fun

On the other hand, I'd personally prefer breaking down big ALS nodes in general (if other possibilities exist) because they're kind of tedious to follow for me (especially if the linking digits are in the middle). I know you like them that way, and I don't mind that at all. It's more interesting and educational to have different styles showcasing that the same logic can be expressed in many ways. I usually prefer as few cells and digits as possible as they map to smaller matrices and "alien fishes". Here I'd probably write it like this:

(9=32)r15c1 - r5c5 = (25-9)r47c5 = r9c45|r78c4 - r9c1&r2c4 = (9)r1c1|r2c7 => -9 r1c8; stte

That's just one possibility, and not criticism of yours at all. (I didn't see that logic until I saw yours anyway).

[SteveG48]

Thanks. I was afraid that no one would bother to decipher that thing.

Oh, I love that when something looks interesting!

I hear you. Yours was deliciously complicated as well, and I enjoyed it.

Of course, Leren's solution just can't be denied. Straightforward and simple.

[SpAce]

I hear you. Yours was deliciously complicated as well, and I enjoyed it.

Thanks. As usual, it was probably more fun to write than to read, though

Of course, Leren's solution just can't be denied. Straightforward and simple.

By any objective measures it's clearly the best here. If I'd seen it, I would have picked it, as I try to avoid unnecessary complexity unless all simple answers are already taken or I can't see them. I simply missed this one, as it was definitely available in my coloring. I just would have written it as a two-linker -- not just because it's shorter but because I find it actually easier to read that way.