HoDoKu Solving Technique Index: Example for "Doubly Linked ALS-XZ"

Solving Technique Example

Original sudoku:

.........6..5..18..83.1.......9573...6.....92...............254.487...1...23.....

Use the following line if you want to load the sudoku in HoDoKu:

:9001:12479:.......+3.6..5..18..83.1..+2....9573...6.....92...........+6...254.487...1+3..23.....:111 615 616 636 453 457 261 262 164 464 664 465 467 667 668 669 171 971 172 972 985 986 791 792 895 995 196 896 996:141 149 151 153 161 162 163 212 413 463 725 925 926:

The following representation can be pasted in most Sudoku programs:

.-----------------------.---------------------.-----------------.

| 24579    12579  14579 | 2468  24789  2489   | 45679  3   5679 |

| 6        279    479   | 5     23479  2349   | 1      8   79   |

| 4579     8      3     | 46    1      49     | 45679  2   5679 |

:-----------------------+---------------------+-----------------:

| 1248     12     14    | 9     5      7      | 3      46  168  |

| 134578   6      157   | 148   348    1348   | 578    9   2    |

| 1345789  13579  14579 | 28    2368   123468 | 578    47  1578 |

:-----------------------+---------------------+-----------------:

| 37       37     6     | 18    89     189    | 2      5   4    |

| 59       4      8     | 7     26     256    | 69     1   3    |

| 159      159    2     | 3     46     456    | 6789   67  6789 |

'-----------------------'---------------------'-----------------'

Representation of the step:

.----------------------------.-----------------------.------------------.

|  24579     1-2579   1-4579 | 2468  24789    2489   | 45679  3    5679 |

|  6        A279     A479    | 5     234-7-9  234-9  | 1      8   A79   |

|  4579      8        3      | 46    1        49     | 45679  2    5679 |

:----------------------------+-----------------------+------------------:

| -1248     B12      B14     | 9     5        7      | 3      46  -168  |

| -134578    6       -157    | 148   348      1348   | 578    9    2    |

| -1345789  -13579   -1-4579 | 28    2368     123468 | 578    47   1578 |

:----------------------------+-----------------------+------------------:

|  37        37       6      | 18    89       189    | 2      5    4    |

|  59        4        8      | 7     26       256    | 69     1    3    |

|  159       159      2      | 3     46       456    | 6789   67   6789 |

'----------------------------'-----------------------'------------------'



Almost Locked Set XZ-Rule: A=r2c239 {2479}, B=r4c23 {124}, X=2,4, Z=2,4 => r4c19,r5c13,r6c123<>1, r1c2<>2, r16c3<>4, r2c5<>7, r2c56<>9