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[ArkieTech]

Code: Select all

 *-----------*
 |.96|.8.|...|
 |...|.4.|..3|
 |...|..3|5..|
 |---+---+---|
 |.1.|83.|.9.|
 |7..|...|..5|
 |.2.|..1|.8.|
 |---+---+---|
 |..7|1..|.2.|
 |9..|.5.|...|
 |...|.98|4..|
 *-----------*


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[pjb]

Code: Select all

 3       9       6      | 57     8      57     | 12     14     124   
 1258    578     1258   | 269    4      269    | 89     67     3     
 248     478     248    |a269    1      3      | 5      67    b89     
------------------------+----------------------+---------------------
 456     1       45     | 8      3      56     | 27     9      27     
 7       38      389    | 469    2      69     | 136    134    5     
d56      2      d39     | 456-9  7      1      |d36     8      46     
------------------------+----------------------+---------------------
c58      358     7      | 1      6      4      | 389    2     c89     
 9       3468    12348  | 237    5      27     | 13678  13     167   
 12      36      123    | 237    9      8      | 4      5      167   


(9)r3c4 = r3c9 - (9=5)r7c19 - (5=9)r6c137 => -9 r6c4; stte

Phil

[Leren]

Code: Select all

*--------------------------------------------------------------*
| 3     9     6      | 57    8     57     | 12    14    124    |
| 1258  578   1258   | 269   4     26-9   |a89    67    3      |
| 248   478   248    | 269   1     3      | 5     67   b89     |
|--------------------+--------------------+--------------------|
|f456   1     45     | 8     3    g56     | 27    9     27     |
| 7     38    389    | 469   2    h69     | 136   134   5      |
|e56    2     39     | 4569  7     1      | 36    8     46     |
|--------------------+--------------------+--------------------|
|d58    358   7      | 1     6     4      | 389   2    c89     |
| 9     3468  12348  | 237   5     27     | 13678 13    167    |
| 12    36    123    | 237   9     8      | 4     5     167    |
*--------------------------------------------------------------*

(9=8) r2c7 - r3c9 = r7c9 - (8=5) r7c1 - (5=6) r6c1 - r4c1 = r4c6 - (6=9) r5c6 => - 9 r2c6; stte

Leren

[SteveG48]

Code: Select all

 *---------------------------------------------------------------------*
 | 3      9      6      | 57     8      57     |  12     14     124    |
 |d1258  c578    1258   | 269    4      269    |  89     67     3      |
 |d248   c478    248    | 269    1      3      |  5      67     89     |
 *----------------------+----------------------+-----------------------|
 | 456    1      45     | 8      3      56     |  27     9      27     |
 | 7     c38     389    | 469    2      69     | a136   b134    5      |
 |d56     2      39     | 4569   7      1      |ae36     8      46     |
 *----------------------+----------------------+-----------------------|
 |d58    c358    7      | 1      6      4      | b89-3   2      89     |
 | 9      3468   12348  | 237    5      27     | a13678  13     167    |
 |d12     36     123    | 237    9      8      |  4      5      167    |
 *---------------------------------------------------------------------*

(3)r568c7 = r5c8 - (3=5784)r2357c2 - (4=12586)r23679c1 - (6=3)r6c7 => -3 r7c7 ; stte
          = r7c7 -/



[Marty R.]

Code: Select all

+-----------------+------------+---------------+
| 3    9    6     | 57   8 57  | 12    14  124 |
| 1258 578  1258  | 269  4 269 | 89    67  3   |
| 248  478  248   | 269  1 3   | 5     67  89  |
+-----------------+------------+---------------+
| 456  1    45    | 8    3 56  | 27    9   27  |
| 7    38   389   | 469  2 69  | 136   134 5   |
| 56   2    39    | 4569 7 1   | 36    8   46  |
+-----------------+------------+---------------+
| 58   358  7     | 1    6 4   | 389   2   89  |
| 9    3468 12348 | 237  5 27  | 13678 13  167 |
| 12   36   123   | 237  9 8   | 4     5   167 |
+-----------------+------------+---------------+


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(8=5)r7c1-(5=6)r6c1-(6=4)r6c9-(4=98)r63c9=>r7c9<>8

[SteveG48]

Code: Select all

+-----------------+------------+---------------+
| 3    9    6     | 57   8 57  | 12    14  124 |
| 1258 578  1258  | 269  4 269 | 89    67  3   |
| 248  478  248   | 269  1 3   | 5     67  89  |
+-----------------+------------+---------------+
| 456  1    45    | 8    3 56  | 27    9   27  |
| 7    38   389   | 469  2 69  | 136   134 5   |
| 56   2    39    | 4569 7 1   | 36    8   46  |
+-----------------+------------+---------------+
| 58   358  7     | 1    6 4   | 389   2   89  |
| 9    3468 12348 | 237  5 27  | 13678 13  167 |
| 12   36   123   | 237  9 8   | 4     5   167 |
+-----------------+------------+---------------+


Play this puzzle online at the Daily Sudoku site

(8=5)r7c1-(5=6)r6c1-(6=4)r6c9-(4=98)r63c9=>r7c9<>8

Marty, I don't understand the last term.

[Marty R.]

Code: Select all

+-----------------+------------+---------------+
| 3    9    6     | 57   8 57  | 12    14  124 |
| 1258 578  1258  | 269  4 269 | 89    67  3   |
| 248  478  248   | 269  1 3   | 5     67  89  |
+-----------------+------------+---------------+
| 456  1    45    | 8    3 56  | 27    9   27  |
| 7    38   389   | 469  2 69  | 136   134 5   |
| 56   2    39    | 4569 7 1   | 36    8   46  |
+-----------------+------------+---------------+
| 58   358  7     | 1    6 4   | 389   2   89  |
| 9    3468 12348 | 237  5 27  | 13678 13  167 |
| 12   36   123   | 237  9 8   | 4     5   167 |
+-----------------+------------+---------------+


Play this puzzle online at the Daily Sudoku site

(8=5)r7c1-(5=6)r6c1-(6=4)r6c9-(4=98)r63c9=>r7c9<>8

Marty, I don't understand the last term.

Right. That's the tactful way of saying I strewed up. I struggled with a last term until I came up with that thing. Anytime I venture into ALS's I'm taking a chance. What rule did I break here and is there an ALS in c9 which gives me an 8 at the end? As I've said before, I always appreciate it when some one points out my errors, so thanks for looking at it and bringing it to my attention.

[SteveG48]

Right. That's the tactful way of saying I strewed up. I struggled with a last term until I came up with that thing. Anytime I venture into ALS's I'm taking a chance. What rule did I break here and is there an ALS in c9 which gives me an 8 at the end? As I've said before, I always appreciate it when some one points out my errors, so thanks for looking at it and bringing it to my attention.

Marty, the problem is that r36c9 doesn't contain only the candidate 4, 8, and 9. If it did, then eliminating 4 would lock the set to 89 and do what you want. Also, your next to last term says that r6c9 is a 4, and your last term says it isn't. If the candidates in r6c9 had been 69 rather than 46, then you could have written:

(8=5)r7c1-(5=6)r6c1-(6=98)r63c9=>r7c9<>8

That's probably what you had in mind, but I don't think there's an ALS in c9 that does what you want.

[Ngisa]

Code: Select all

+-----------------+------------+---------------+
| 3    9    6     | 57   8 57  | 12    14  124 |
| 1258 578  1258  | 269  4 d269 | c89    67  3   |
| 248  478  248   | 269  1 3   | 5     67  b89  |
+-----------------+------------+---------------+
| 456  1    45    | 8    3 56  | 27    9   27  |
| 7    38   f389   | 469  2 e69  | 136   134 5   |
| 56   2    g39    | 4569 7 1   | h3*6    8   46  |
+-----------------+------------+---------------+
| 5-8   35-8  7     | 1    6 4   | i389   2   a89*  |
| 9    3468 12348 | 237  5 27  | 13678 13  167 |
| 12   36   123   | 237  9 8   | 4     5   167 |
+-----------------+------------+---------------+


(8=9*)r7c9-r3c9=r2c7-r2c6=r5c6-r5c3=(9-3)r6c3=(3*)r6c7-(3*9*=8)r7c7 = -8r7c12; stte

[Marty R.]

Right. That's the tactful way of saying I strewed up. I struggled with a last term until I came up with that thing. Anytime I venture into ALS's I'm taking a chance. What rule did I break here and is there an ALS in c9 which gives me an 8 at the end? As I've said before, I always appreciate it when some one points out my errors, so thanks for looking at it and bringing it to my attention.

Marty, the problem is that r36c9 doesn't contain only the candidate 4, 8, and 9. If it did, then eliminating 4 would lock the set to 89 and do what you want. Also, your next to last term says that r6c9 is a 4, and your last term says it isn't. If the candidates in r6c9 had been 69 rather than 46, then you could have written:

(8=5)r7c1-(5=6)r6c1-(6=98)r63c9=>r7c9<>8

That's probably what you had in mind, but I don't think there's an ALS in c9 that does what you want.

I've always had trouble trying to figure out what to do with the last entry before an ALS. , but I now think I know what to do.

Once again, Steve, thanks very much for the help.

Marty

[Sudtyro2]

Code: Select all

*---------------------------------------------------------------------*
| 3      9      6      | 57     8      57     |  12     14     124    |
| 1258   578    1258   |d269    4     c269    | b89     67     3      |
| 248    478    248    |d269    1      3      |  5      67     89     |
*----------------------+----------------------+-----------------------|
| 456    1      45     | 8      3      56     |  27     9      27     |
| 7      38     389    | 469    2      69     |  136    134    5      |
|e56     2      39     |e4569   7      1      | e36     8     e46     |
*----------------------+----------------------+-----------------------|
| 58     358    7      | 1      6      4      | a89-3   2      89     |
| 9      3468   12348  | 237    5      27     |  13678  13     167    |
| 12     36     123    | 237    9      8      |  4      5      167    |
*---------------------------------------------------------------------*


An AIC alternative for the -3r7c7 elimination.
(9)r7c7 = r2c7 – r2c6 = r23c4 – (9=4563)r6c1479 => -3r7c7

SteveC