Duncan's SuDoku Solver

## Example of an Associate

##### This is a screenshot

### Associate:

All occurances of a particular

Possible in a

Row,

Column,
or

Box
are confined to a single

Segment.

In this example, the Associate is the Segment containing the 3's (coloured pink) - ie the three Squares at the bottom of the seventh Column
(counting from the left).
These 3's do not occur in the other two Segments of the same Column, so the 3 solution for that Column must be in that Segment.
The associated Box that contains the same Segment must also have it's 3 Solution there - and not in the other two Segments of the Box.
The 3's elswhere in the Box (outlined in orange) are impossible solutions and can be removed.

## Second Example of an Associate

##### This is a screenshot

### Associate:

In this second example, the Associate is the Segment containing the 8's (coloured pink) - ie the three Squares on the left of the second Row
(counting from the top).
These 8's do not occur in the other two Segments of the same Row, so the 8 solution for that Row must be in that Segment.
The associated Box that contains the same Segment must also have it's 8 Solution there - and not in the other two Segments of the Box.
The 8's elswhere in the Box (outlined in orange) are impossible solutions and can be removed.
## Third Example of an Associate

##### This is a screenshot

### Associate:

In this third example, the Associate is the Segment containing the 8's (coloured pink) - ie the three Squares at the bottom of the sixth Column
(counting from the left).
These 8's do not occur in the other two Segments of the associated Box, so the 8 solution for that Box must be in that Segment.
The Column must also have it's 8 Solution there - and not in the other two Segments of the Column.
The 8's elswhere in the Column (outlined in orange) are impossible solutions and can be removed.
## Fourth Example of an Associate

##### This is a version 11.0 screenshot

### Associate:

In this fourth example, we see the analysis running on a Killer SuDoku. The Associate is the Segment containing 1's (coloured pink) in C4, C5 and C6.
These 1's do not occur in the other two Segments of the associated Box, so the 1 solution for that Box must be in that Segment (ie there must be a 1 in either C5 or C6).
In addition, both 1's are contained within the same

Group (outlined blue), so there cannot be 1's anywhere else in the Group and they (outlined in Orange) are impossible solutions
and can be removed.