The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |9.7|...|...|
 |...|..1|2..|
 |.1.|86.|.3.|
 |---+---+---|
 |89.|.1.|5..|
 |7..|.9.|..3|
 |..6|.2.|.98|
 |---+---+---|
 |.4.|.35|.8.|
 |..2|6..|...|
 |...|...|9.6|
 *-----------*


Play/Print this puzzle online

[SpAce]

Code: Select all

.------------------.----------------.-------------------------.
|  9     6     7   | 23    45   23  |   8      145      145   |
|  34    38    348 | 9     57   1   |   2      6        57    |
|  2     1     5   | 8     6    47  |   47     3        9     |
:------------------+----------------+-------------------------:
|  8     9     34  | 347   1    6   |   5      247      247   |
|  7     2     14  | 5     9    8   |   6      14       3     |
| b1345  35    6   | 347   2    347 | a(1)47   9        8     |
:------------------+----------------+-------------------------:
|  6     4     9   | 127   3    5   |   7-1    8        127   |
| c15    578   2   | 6     478  9   |   3    d(1)457  d(1)457 |
|  135   3578  138 | 1247  478  247 |   9      12457    6     |
'-----------------'----------------'--------------------------'


Grouped Skyscraper: 1r6(c7=c1) - 1r8(c1=c89) => -1 r7c7; stte

Standard Notation: Show

(1)r6c7 = r6c1 - r8c1 = (1)r8c89 => -1 r7c7; stte

nr-space: Show

Code: Select all

  r  1     2     3       4      5      6    7       8      9
n .-------------------.-------------------.-------------------.
1 | 89    <6>   <2>   | <5>     38   1(7) | 49-7  1(89)  1348 |
  '-------------------'-------------------'-------------------'

c(7=1)n1r6 - c(1=8|9)n1r8 => -c7 n1r7; stte

[Cenoman]

Code: Select all

 +----------------------+---------------------+-----------------------+
 |  9      6      7     |  23     45    23    |  8    c145     145    |
 |  34     38     348   |  9      57    1     |  2     6       57     |
 |  2      1      5     |  8      6     47    |  47    3       9      |
 +----------------------+---------------------+-----------------------+
 |  8      9      34    |  347    1     6     |  5     27-4    247    |
 |  7      2      14    |  5      9     8     |  6    c14      3      |
 |  1345   35     6     |  347    2     347   |  147   9       8      |
 +----------------------+---------------------+-----------------------+
 |  6      4      9     |  27-1   3     5     | a17    8      a127    |
 |  15     578    2     |  6      478   9     |  3    b457-1   45-17  |
 |  135    3578   138   |  1247   478   247   |  9    b2457-1  6      |
 +----------------------+---------------------+-----------------------+

Rank 0 ALS-chain (extended Sue de Coq)
(127)r7c79 -27- (12457)r89c8 -145- (145)r15c8 => -1 r7c4, -4r5c8, -1 r89c8, -17 r8c9; ste
Note -1 r7c4 alone yields ste finish.
Warning: no comment about Sue de Coq naming will be answered

For those suffering from ALS-chain allergy, an AIC loop:

Hidden Text: Show

Code: Select all

 +----------------------+---------------------+-----------------------+
 |  9      6      7     |  23     45    23    |  8     145     145    |
 |  34     38     348   |  9      57    1     |  2     6       57     |
 |  2      1      5     |  8      6     47    |  47    3       9      |
 +----------------------+---------------------+-----------------------+
 |  8      9      34    |  347    1     6     |  5    d27-4   e247    |
 |  7      2      14    |  5      9     8     |  6     14      3      |
 |  1345   35     6     |  347    2     347   |  147   9       8      |
 +----------------------+---------------------+-----------------------+
 |  6      4      9     |ga27-1   3     5     | b17    8     fb127    |
 |  15     578    2     |  6      478   9     |  3    c1457    145-7  |
 |  135    3578   138   |  1247   478   247   |  9    c12457   6      |
 +----------------------+---------------------+-----------------------+

(7)r7c4 = r7c79 - r89c8 = (7-2)r4c8 = r4c9 - r7c9 = (2)r7c4 => -1 r7c4, -7 r8c9, -4r4c8; ste

[Ngisa]

Code: Select all

+---------------------+--------------------+----------------------+
| 9       6       7   | 23      45     23  | 8      145      145  |
| 34      38      348 | 9       457    1   | 2      6        457  |
| 2       1       5   | 8       6      47  | 47     3        9    |
+---------------------+--------------------+----------------------+
| 8       9       34  | 347     1      6   | 5      247      247  |
| 7       2      c14  | 5       9      8   | 6     b14       3    |
| 1345    35      6   | 347     2      347 |a147    9        8    |
+---------------------+--------------------+----------------------+
| 6       4       9   |f127     3      5   | 7-1    8        127  |
| 15      578     2   | 6       478    9   | 3      1457     1457 |
| 135     3578   d138 |e1247    478    247 | 9      12457    6    |
+---------------------+--------------------+----------------------+


(1)r6c7 = r5c8 - r5c3 = r9c3 - r9c4 = r7c4 => - 1r7c7; stte

Clement

[SteveG48]

Code: Select all

 *---------------------------------------------------------------------*
 | 9      6      7      | 23     45     23     | 8    cd145     145    |
 | 34     38     348    | 9      57     1      | 2      6       57     |
 | 2      1      5      | 8      6      47     | 47     3       9      |
 *----------------------+----------------------+-----------------------|
 | 8      9      34     | 347    1      6      | 5      247     247    |
 | 7      2      14     | 5      9      8      | 6     d14      3      |
 | 1345   35     6      | 347    2      347    | 147    9       8      |
 *----------------------+----------------------+-----------------------|
 | 6      4      9      | 127    3      5      |d17     8       127    |
 | 1-5    578    2      | 6      478    9      | 3   acd1457 acd1457   |
 | 135    3578   138    | 1247   478    247    | 9     b12457   6      |
 *---------------------------------------------------------------------*


This one might be a little hard to see!

5r8c89 = 5r9c8 - 5r1c8,r8c89 = (147r168c8)&(147b9p156) - (4|7=58)r8c25 => -5 r8c1 ; stte

Hmm. Looks very similar to Cenoman's.

[SteveG48]

Grouped Skyscraper: 1r6(c7=c1) - 1r8(c1=c89) => -1 r7c7; stte

As long as you're going to pursue this notation, how about:

1r6c(7=1) - 1r8c(1=89) => -1 r7c7; stte ?

[Sudtyro2]

FWIW, I prefer SpaCe's standard notation:
(1)r6c7 = r6c1 - r8c1 = (1)r8c89 => -1 r7c7; stte.

One can then simply drop the entire first node to get the exact fin chain needed for:
In 1s, a finned 1-Fish r6\c7 + rfr6c1 => -1 r7c7; stte.

SteveC

[SpAce]

Grouped Skyscraper: 1r6(c7=c1) - 1r8(c1=c89) => -1 r7c7; stte

As long as you're going to pursue this notation, how about:

1r6c(7=1) - 1r8c(1=89) => -1 r7c7; stte ?

That would be my favorite because it has the least redundancy. Until yesterday I would have written it like that, but then decided to try the longer format to see if it would improve readability and cause less confusion. That's what I meant with my question to you yesterday, and thought you answered that you hated the longer format (a bit) less. Did I misinterpret that? If you hate them about equally or might actually "prefer" the shorter notation, I wouldn't mind sticking with the shorter one at all.

I just thought there might be a bit less confusion if the coordinate indicator were repeated with the r and c coordinates to make them stand out more (since we're not using it at all with the n coordinate). Then again, there's no real ambiguity anyway because the order of the nrc coordinates is fixed, and thus the placement of the brackets alone indicates which coordinate is being linked. It's just a question of readability. I'm kind of blind myself to which one works better (or less poorly) in that regard, but if there's not much difference, I'd prefer the shorter format you presented above.

On another note, I think I've noticed a (slight) weakness with the 3D notation. It can make it a bit harder to see the 2D map of the cells involved. With the normal 2D format it's easy to count the cells (and nodes/cell sets) involved in the chain. Then again, the notion of a cell/node is only meaningful in the context of a particular 2D space. In this case our chain occupies a total of five cells (in four nodes) in the normal rc-space, but only two cells in the nr-space. I guess in the 3D space there's no concept of a cell at all, as they're more accurately described as "tubes" (which become cells when flattened into a 2D projection).

PS. I'm not pursuing anything (yet). I'm just experimenting, and trying to see if there's any chance the 3D format might be a viable option. I see some clear benefits in it, but I realize that some weaknesses may become apparent only after a longer testing period.

[SteveG48]

Grouped Skyscraper: 1r6(c7=c1) - 1r8(c1=c89) => -1 r7c7; stte

As long as you're going to pursue this notation, how about:

1r6c(7=1) - 1r8c(1=89) => -1 r7c7; stte ?

That would be my favorite because it has the least redundancy. Until yesterday I would have written it like that, but then decided to try the longer format to see if it would improve readability and cause less confusion. That's what I meant with my question to you yesterday, and thought you answered that you hated the longer format (a bit) less. Did I misinterpret that? If you hate them about equally or might actually "prefer" the shorter notation, I wouldn't mind sticking with the shorter one at all.

I know I'm waffling. I guess I like the shorter one better than the longer one.
No one else seems to be weighing in at all.

[SpAce]

I know I'm waffling. I guess I like the shorter one better than the longer one.

Ok, thanks for the clarification!

No one else seems to be weighing in at all.

Yeah, that's too bad. I guess they're hoping that this is just a phase and I'll come to my senses eventually