A Conjugate Pair has the following properties. If cell one contains the candidate then cell two cannot contain the candidate and vice-versa. Additionally, if cell one does not contain the candidate then cell two has to contain the candidate and vice-versa.

This type of link or bond between two cells is known as a Strong Link or a link with Strong Inference.In the example in Figure 1 the two blue cells in box 3 are the only two cells in box 3 that contain the candidate 1. These two cells are a conjugate pair for the value 1. They are also the only two cells in row 2 that contain the candidate 1.

The two green cells in column 3 are the only cells in column 3 to contain the value 5. These two cells are a conjugate pair for the value 5.

The two yellow cells in row 7 are the only cells in row 7 to contain the value 8. These two cells are a conjugate pair for the value 8.

There are other conjugate pairs in figure 1. See if you can spot them.

Using solving techniques that involve chains often produces results in puzzles that have multiple conjugate pairs.

31 October 2020

by John

by John

RE: Comments and feedback for conjugatePair

Thanks for your feedback. You can use this in your tutorial as long as I get the acknowledgement.

Thanks for your feedback. You can use this in your tutorial as long as I get the acknowledgement.

31 October 2020

by robin jarman (Sudoku Guy)

by robin jarman (Sudoku Guy)

RE: Comments and feedback for conjugatePair

great explanation. May i use this and acknowledge you for it in a tutorial I plan to do on Youtube.?

great explanation. May i use this and acknowledge you for it in a tutorial I plan to do on Youtube.?

31 October 2020

by robin jarman (Sudoku Guy)

by robin jarman (Sudoku Guy)

RE: Comments and feedback for conjugatePair

great explanation. May i use this and acknowledge you for it in a tutorial I plan to do on Youtube.?

great explanation. May i use this and acknowledge you for it in a tutorial I plan to do on Youtube.?

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Sudoku Rules and Techniques

Sudoku Rules

Acknowledgments

I would like to acknowledge these sites referenced for strategy ideas and solving techniques.

SudokuWiki.Org by Andrew Stuart

PaulsPages.co.uk by Paul Stevens

Sudoku Rules

Cross Hatching

Counting

Naked Set

Hidden Set

Claiming

Remote Pairs

X Wing

XY Wing

Simple Coloring

Fishy Things

Unique Rectangle

X Chain

Aligned Pair Exclusion

Forcing Chains

Finned Fishy Things

Almost Locked Sets

Counting

Naked Set

Hidden Set

Claiming

Remote Pairs

X Wing

XY Wing

Simple Coloring

Fishy Things

Unique Rectangle

X Chain

Aligned Pair Exclusion

Forcing Chains

Finned Fishy Things

Almost Locked Sets

Acknowledgments

I would like to acknowledge these sites referenced for strategy ideas and solving techniques.

SudokuWiki.Org by Andrew Stuart

PaulsPages.co.uk by Paul Stevens