HoDoKu Solving Technique Index: Example for "Alternate Inference Chain Type 2"

Solving Technique Example

Original sudoku:

963.1.....7.3..........27..7.9.6..........5...3.....9.....3...25...86..3....71846

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

:0708:28:963.1....+27.3........+6.27+3.7.9.6.+3.......+35...3.....9.+6+8+7.3.+1+525..+286+9+73+3+9+2+571846::218 848:

The following representation can be pasted in most Sudoku programs:

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

| 9    6     3     | 478    1    4578 | 24   28    458   |

| 2    7     1458  | 3      459  4589 | 46   168   14589 |

| 148  145   1458  | 6      459  2    | 7    3     14589 |

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

| 7    1245  9     | 148    6    458  | 3    128   148   |

| 148  124   1468  | 14789  249  3    | 5    1268  1478  |

| 148  3     14568 | 1478   245  4578 | 246  9     1478  |

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

| 6    8     7     | 49     3    49   | 1    5     2     |

| 5    14    14    | 2      8    6    | 9    7     3     |

| 3    9     2     | 5      7    1    | 8    4     6     |

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

Representation of the step:

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

| 9     6      3     | 478    1    4578 | *24   *-28   458   |

| 2     7      1458  | 3      459  4589 |  46    168   14589 |

| 148   145    1458  | 6      459  2    |  7     3     14589 |

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

| 7    *1245   9     | 148    6    458  |  3    *12-8  148   |

| 148   124    1468  | 14789  249  3    |  5     1268  1478  |

| 148   3     *14568 | 1478   245  4578 | *246   9     1478  |

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

| 6     8      7     | 49     3    49   |  1     5     2     |

| 5     14     14    | 2      8    6    |  9     7     3     |

| 3     9      2     | 5      7    1    |  8     4     6     |

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



AIC 8- r1c8 -2- r1c7 =2= r6c7 =6= r6c3 =5= r4c2 =2= r4c8 -2 => r1c8<>2, r4c8<>8