The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |9..|7..|1..|
 |...|.2.|.8.|
 |..6|..8|..3|
 |---+---+---|
 |5..|...|9..|
 |.7.|.9.|.2.|
 |..3|...|..6|
 |---+---+---|
 |6..|8..|3..|
 |.2.|.4.|...|
 |..7|..3|..5|
 *-----------*


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[SpAce]

original: Show

Code: Select all

.-----------------------.----------------------.----------------.
| 9      58      258    |     7     3     45   | 1    6    24   |
| 17     3       15     |     6     2     45   | 47   8    9    |
| 27     4       6      |     9     1     8    | 27   5    3    |
:-----------------------+----------------------+----------------:
| 5      6       1248   |     124   78    127  | 9    3    1478 |
| 148    7       148    |     3     9     6    | 5    2    148  |
| 1248   9       3      |     1245  578   127  | 48   147  6    |
:-----------------------+----------------------+----------------:
| 6    de1(5)  ae4[9]-5 |     8     57   b1279 | 3    147  1247 |
| 3      2      e589    |   f(5)-1  4     179  | 6    17   178  |
| 48    d18      7      | abc[1]2   6     3    | 248  9    5    |
'-----------------------'----------------------'----------------'

(19)r9c4,r7c3 = (2)r9c4|(92)b8p37 - (1)r9c4 = (15)r97c2 - r78c3 = (5)r8c4&r7c2 => -1 r8c4, -5 r7c3; stte

Code: Select all

.----------------------.--------------------.----------------.
| 9      58     258    |  7     3      45   | 1    6    24   |
| 17     3      15     |  6     2      45   | 47   8    9    |
| 27     4      6      |  9     1      8    | 27   5    3    |
:----------------------+--------------------+----------------:
| 5      6      1248   |  124   78     127  | 9    3    1478 |
| 148    7      148    |  3     9      6    | 5    2    148  |
| 1248   9      3      |  1245  578    127  | 48   147  6    |
:----------------------+--------------------+----------------:
| 6     a1[5]  d4(9)-5 |  8     7-5  cd1279 | 3    147  1247 |
| 3      2      89-5   | d1(5)  4      179  | 6    17   178  |
| 48    b18     7      | c12    6      3    | 248  9    5    |
'----------------------'--------------------'----------------'


(5=1)r7c2 - r9c2 = (1,2)b8p73 - (1|9)b8p34 = (95)r7c3,r8c4 => -5 r7c35,r8c3; stte

[Cenoman]

Code: Select all

 +---------------------+----------------------+---------------------+
 |  9      58   258    |  7      3     45     |  1     6     24     |
 |  17     3    15     |  6      2     45     |  47    8     9      |
 |  27     4    6      |  9      1     8      |  27    5     3      |
 +---------------------+----------------------+---------------------+
 |  5      6    1248   |  124    78    127    |  9     3     1478   |
 |  148    7    148    |  3      9     6      |  5     2     148    |
 |  1248   9    3      |  1245   578   127    |  48    147   6      |
 +---------------------+----------------------+---------------------+
 |  6      15   459    |  8      57z   1279   |  3     147   1247   |
 |  3      2  Aa589y   | b15z    4     179z   |  6     17    178    |
 |  48    B18   7      |  2-1    6     3      |  248   9     5      |
 +---------------------+----------------------+---------------------+

Death Blossom, stem (589)r8c3
(5)r8c3 - (5=1)r8c4
(8)r8c3 - (8=1)r9c2
(9)r8c3 - (9=571)b8p246
=> -1 r9c4; ste

[SteveG48]

Code: Select all

 *-----------------------------------------------------------*
 | 9     58    258   | 7     3     45    | 1     6     24    |
 | 17    3     15    | 6     2     45    | 47    8     9     |
 | 27    4     6     | 9     1     8     | 27    5     3     |
 *-------------------+-------------------+-------------------|
 | 5     6     1248  | 124   78    127   | 9     3     1478  |
 | 148   7     148   | 3     9     6     | 5     2     148   |
 | 1248  9     3     | 1245  578   127   | 48    147   6     |
 *-------------------+-------------------+-------------------|
 | 6     15    459   | 8    b57    1279  | 3     147   1247  |
 | 3     2   ab589   |b15    4   ab179   | 6     17    178   |
 | 48   a18    7     | 2-1   6     3     | 248   9     5     |
 *-----------------------------------------------------------*


Almost X-Y wing (189)r8c36,r9c2

(X-Y wing) == (51)r8c34|(751)b8p267 => -1 r9c4 ; stte

[Cenoman]

Almost X-Y wing (189)r8c36,r9c2

(X-Y wing) == (51)r8c34|(751)b8p267 => -1 r9c4 ; stte

I had to rack my brain to catch this almost XY-wing !
I was blinded by the other one (158)r8c34,r9c2: XY-wing == (9)r8c3 - (9=571)b8p246 => -1 r9c4; ste

Nice variation Steve, I like it !

[SteveG48]

I had to rack my brain to catch this almost XY-wing !
I was blinded by the other one (158)r8c34,r9c2: XY-wing == (9)r8c3 - (9=571)b8p246 => -1 r9c4; ste

Nice variation Steve, I like it !

Thanks. Two almost X-Y wings! Who'd a thunk it?

[SpAce]

Two almost X-Y wings! Who'd a thunk it?

Technically yours is actually an almost-almost XY-Wing (which doesn't make it any less nice, more like the opposite) Here's one more variant of the theme:

WXYZ-Wing(1589)r8c346,r9c2 = (751)b8p624 => -1 r9c4; stte

Or explicitly:

[(18)b7p86 = (591)r8c346] = (751)b8p624 => -1 r9c4; stte

Btw, I don't think the '==' is needed or even appropriate either way (or with any almost-patterns). What we have is normal strong links between two nodes, directly observable in the grid. Nothing derived there, even if the nodes are more complex than usual. I think the '==' is for situations where the strong link is due to a pre-calculation or a catalyst (such as a DP), which requires an explanation. Using it for other non-native (but still direct) links dilutes that more valuable meaning without any benefits. In fact, it's a bit confusing, because it implies there's a more complicated reason (like a DP) for the link (and there could be).

[SteveG48]

Btw, I don't think the '==' is needed or even appropriate either way (or with any almost-patterns).

Yes, I wondered about that. You're right.