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

Solving Technique Example

Original sudoku:

..34.7.6.4....59...276....1........591.....8.2..78....6..25.4...4..........1....3

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

:9001:8:.+934.7.6.4....59...276...+41........591.+5...8.2..78....6..25.4...4..........1....3:325 145 245 747 748 255 581 587 591 597:873 883 893:

The following representation can be pasted in most Sudoku programs:

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

| 158   9     3     | 4    12    7      | 258    6      28    |

| 4     68    168   | 38   12    5      | 9      237    278   |

| 58    2     7     | 6    39    389    | 358    4      1     |

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

| 378   3678  468   | 39   3469  123469 | 1236   1239   5     |

| 9     1     46    | 5    346   2346   | 2367   8      2467  |

| 2     356   456   | 7    8     13469  | 136    139    469   |

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

| 6     378   189   | 2    5     389    | 4      179    789   |

| 1378  4     12589 | 389  3679  3689   | 12678  12579  26789 |

| 78    578   2589  | 1    4679  4689   | 2678   2579   3     |

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

Representation of the step:

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

|  158    9      3      | 4    12    7      | 258    6      28    |

|  4      68     168    | 38   12    5      | 9      237    278   |

|  58     2      7      | 6    39    389    | 358    4      1     |

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

|  378    3678  A468    | 39   3469  123469 | 1236   1239   5     |

|  9      1     A46     | 5    346   2346   | 2367   8      2467  |

|  2     A356   A456    | 7    8     13469  | 136    139    469   |

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

|  6     B378    1-89   | 2    5     389    | 4      179    789   |

|  1378   4      125-89 | 389  3679  3689   | 12678  12579  26789 |

| B78     578    25-89  | 1    4679  4689   | 2678   2579   3     |

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



Almost Locked Set XZ-Rule: A=r456c3,r6c2 {34568}, B=r7c2,r9c1 {378}, X=3, Z=8 => r789c3<>8