The New Sudoku Players' Forum

[morl]

Code: Select all

..3|...|...
.54|...|73.
.97|...|168
---+---+---
...|235|...
...|869|...
...|174|...
---+---+---
168|...|57.
.75|...|69.
...|...|3..

..3.......54...73..97...168...235......869......174...168...57..75...69.......3..

[rjamil]

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 +----------------+---------+-----------------+
 | 6    1    3    | 9  8  7 | 24    24     5  |
 | 8    5    4    | 6  2  1 | 7     3      9  |
 | 2    9    7    | 5  4  3 | 1     6      8  |
 +----------------+---------+-----------------+
 | 479  48   69-1 | 2  3  5 | 89    (14)   67 |
 | 457  234  (12) | 8  6  9 | (24)  245-1  37 |
 | 59   238  269  | 1  7  4 | 89    25     36 |
 +----------------+---------+-----------------+
 | 1    6    8    | 3  9  2 | 5     7      4  |
 | 3    7    5    | 4  1  8 | 6     9      2  |
 | 49   24   29   | 7  5  6 | 3     8      1  |
 +----------------+---------+-----------------+

0) XY-Wing: 124 @ r4c8 & r5c37 => -1 @ r4c3 & r5c8;

(After two HS and a LC)

Code: Select all

 +------------------+---------+---------------+
 | 6      1    3    | 9  8  7 | 24  24   5    |
 | 8      5    4    | 6  2  1 | 7   3    9    |
 | 2      9    7    | 5  4  3 | 1   6    8    |
 +------------------+---------+---------------+
 | (479)  48   (69) | 2  3  5 | 89  1    (67) |
 | 57     23   1    | 8  6  9 | 24  245  37   |
 | 5-9    238  269  | 1  7  4 | 89  25   36   |
 +------------------+---------+---------------+
 | 1      6    8    | 3  9  2 | 5   7    4    |
 | 3      7    5    | 4  1  8 | 6   9    2    |
 | (49)   24   29   | 7  5  6 | 3   8    1    |
 +------------------+---------+---------------+

1) WXYZ-Wing: 4679 @ r4c139 & r9c1 => -9 @ r6c1; stte
(Please note that the Andrew's online Solver does not detect the above mentioned WXYZ-Wing move.)

R. Jamil

[SteveG48]

Code: Select all

 *-----------------------------------------------------------*
 | 6     1     3     | 9     8     7     | 24    24    5     |
 | 8     5     4     | 6     2     1     | 7     3     9     |
 | 2     9     7     | 5     4     3     | 1     6     8     |
 *-------------------+-------------------+-------------------|
 | 479   48    169   | 2     3     5     | 89    14    67    |
 | 457  c234  c12    | 8     6     9     |c24   c1245  37    |
 |a59   b238   269   | 1     7     4     |a89    2-5   36    |
 *-------------------+-------------------+-------------------|
 | 1     6     8     | 3     9     2     | 5     7     4     |
 | 3     7     5     | 4     1     8     | 6     9     2     |
 |a49   b24    29    | 7     5     6     | 3     8     1     |
 *-----------------------------------------------------------*


(5=489)r6c17,r9c1 - (8|4=23)r69c2 - (2|3=1245)r5c2378 => -5 r6c8 ; stte

[SpAce]

Funny original: Show

Code: Select all

.----------------.---------.----------------------.
| 6    1     3   | 9  8  7 |   24+    24+      5  |
| 8    5     4   | 6  2  1 |   7      3        9  |
| 2    9     7   | 5  4  3 |   1      6        8  |
:----------------+---------+----------------------:
| 479  48    169 | 2  3  5 |   89     14       67 |
| 457  234  a12  | 8  6  9 | ba24+  ba24+1(5)  37 |
| 59   238   269 | 1  7  4 |   89   b(2)-5     36 |
:----------------+---------+----------------------:
| 1    6     8   | 3  9  2 |   5      7        4  |
| 3    7     5   | 4  1  8 |   6      9        2  |
| 49   24    29  | 7  5  6 |   3      8        1  |
'----------------'---------'----------------------'


(5=UR=1,24)r5c8,37 - 2b6p(45=8) => -5 r6c8; stte

Code: Select all

.----------------.---------.---------------------.
| 6    1     3   | 9  8  7 |  24+    24+      5  |
| 8    5     4   | 6  2  1 |  7      3        9  |
| 2    9     7   | 5  4  3 |  1      6        8  |
:----------------+---------+---------------------:
| 479  48    169 | 2  3  5 |  89     14       67 |
| 457  234  a12  | 8  6  9 | b24+  ba24+1(5)  37 |
| 59   238   269 | 1  7  4 |  89   b(2)-5     36 |
:----------------+---------+---------------------:
| 1    6     8   | 3  9  2 |  5      7        4  |
| 3    7     5   | 4  1  8 |  6      9        2  |
| 49   24    29  | 7  5  6 |  3      8        1  |
'----------------'---------'---------------------'

UR(24)r15c78 using internals:

(5=UR=12)r5c83 - 2b6p(45=8) => -5 r6c8; stte

Or more explicitly (and clearly) as Steve suggested:

(5=UR=1)r15c78 - (1=2)r5c3 - r5c78 = (2)r6c8 => -5 r6c8; stte

[SteveG48]

Code: Select all

.----------------.---------.----------------------.
| 6    1     3   | 9  8  7 |   24+    24+      5  |
| 8    5     4   | 6  2  1 |   7      3        9  |
| 2    9     7   | 5  4  3 |   1      6        8  |
:----------------+---------+----------------------:
| 479  48    169 | 2  3  5 |   89     14       67 |
| 457  234  a12  | 8  6  9 | ba24+  ba24+1(5)  37 |
| 59   238   269 | 1  7  4 |   89   b(2)-5     36 |
:----------------+---------+----------------------:
| 1    6     8   | 3  9  2 |   5      7        4  |
| 3    7     5   | 4  1  8 |   6      9        2  |
| 49   24    29  | 7  5  6 |   3      8        1  |
'----------------'---------'----------------------'


(5=UR=1,24)r5c8,37 - 2b6p(45=8) => -5 r6c8; stte

I know that you like feedback, so you've convinced me about the =()= derived strong link symbology, with the stuff between the = signs being explanatory. The rest I find unnecessarily confusing. I'd write what you have here as (5=UR=1)r15c78 - (1=2)r5c3 - r5c78 = 2r6c8 => -5 r6c8. It's a bit longer, but I think it's clearer, and it includes all four cells in the 24UR.

On a side note, I find the abbreviated notation in the first term to be easier to follow than (5=UR=124)r15c78 . The reason is that the 15 strong link is implicit in the concept of the unique rectangle. I'm sure opinions will still vary.

[Ngisa]

Code: Select all

+----------------------+---------------+--------------------+
|  6       1       3   | 9     8     7 | 24     24       5  |
|  8       5       4   | 6     2     1 | 7      3        9  |
|  2       9       7   | 5     4     3 | 1      6        8  |
+----------------------+---------------+--------------------+
| C479     48     a169 | 2     3     5 | 89     14      B67 |
| D457     234    b12  | 8     6     9 |c24   Ec1245     37 |
|d'59      238     269 | 1     7     4 | 89    d2-5      36 |
+----------------------+---------------+--------------------+
|  1       6       8   | 3     9     2 | 5      7        4  |
|  3       7       5   | 4     1     8 | 6      9        2  |
|c'49      24    b'29  | 7     5     6 | 3      8        1  |
+----------------------+---------------+--------------------+


Kraken Cell [169]r4c3
(1)r4c3 - (1=2)r5c3 - r5c78 = (2-5)r6c8
(6)r4c3 - (6=7)r4c9 - r4c1 = (7-5)r4c1 = r5c8
(9)r4c3 - r9c3 = r9c1 - (9=5)r6c1 => - 5r6c8; stte

Clement

[SpAce]

I know that you like feedback, so you've convinced me about the =()= derived strong link symbology, with the stuff between the = signs being explanatory. The rest I find unnecessarily confusing.

Thanks, Steve!! I definitely agree with you on this. I didn't try to make it unnecessarily obscure -- it was an honest case of blindness to the simple and obvious solution! I was in a hurry and just wrote what I saw, but of course it seems ridiculous now. It's pretty funny, actually. For some unknown reason I saw it as (14-2)r5c87 = (2)r7c8 instead of simply (1=2)r5c3 - r5c78, which complicated the whole thing unnecessarily. I even had to use the controversial comma-notation to lock 1r5c8 in the triple, because (124)r5c837 would have been ambiguous (more than one way to place those digits in the cells, but only one of them would work as intended). It did hurt my eyes; yet I was blind to the obvious fix

I'd write what you have here as (5=UR=1)r15c78 - (1=2)r5c3 - r5c78 = 2r6c8 => -5 r6c8. It's a bit longer, but I think it's clearer, and it includes all four cells in the 24UR.

I like that. It's the clearest expression, no doubt.

On a side note, I find the abbreviated notation in the first term to be easier to follow than (5=UR=124)r15c78 . The reason is that the 15 strong link is implicit in the concept of the unique rectangle. I'm sure opinions will still vary.

I definitely agree. I don't think I've ever seen it written as (5=UR=124), and I don't think it would communicate the derived strong link between 5 and 1 very well.