127.0.0.1: Created page with "'''Crossover''' is a basic solving technique for Sudoku-X, which says that if there are exactly two cells '''A''' and '''B''' with candidate '''X''' along a ..."

2021-10-26T20:21:41Z

Created page with "'''Crossover''' is a basic solving technique for Sudoku-X, which says that if there are exactly two cells '''A''' and '''B''' with candidate '''X''' along a ..."

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'''Crossover''' is a basic [[solving technique]] for [[Sudoku-X]], which says that if there are exactly two [[cell]]s '''A''' and '''B''' with [[candidate]] '''X''' along a [[diagonal]], then '''X''' can be [[eliminate]]d from the other two cells that are [[see]]n by both '''A''' and '''B'''. Crossover can also be applied when there are exactly three cells with the candidate '''X''' along the diagonal, as long as one of the cells is '''r5c5''', and the other two cells '''A''' and '''B''' are located at the same distance away from '''r5c5'''.

In other words, the crossover rule is simply [[Common Peer Elimination]] applied to the diagonals of the Sudoku-X. When there are exactly two cells along the diagonal having the candidate '''X''', [[SudoCue]] replicates crossover using [[Simple Colors]], i.e., a [[X-Chain]] containing two cells.

== Example ==
The following example illustrates the crossover technique.

[[Image:Crossover.png]]

One of the diagonals has exactly two cells having '''1''' as a candidate: '''r3c7''' and '''r6c4'''. Both of these cells see '''r6c7'''. Hence, '''1''' can be eliminated from '''r6c7'''.

== External Link ==
* [http://www.djape.net/sudoku/forum/viewtopic.php?t=237 djape.net forum post]

== See Also ==
* [[Double Crossover]]
* [[Finned Double Crossover]]
* [[Multiple Crossover]]

[[Category:Solving Techniques]]
[[Category:Sudoku-X]]

Crossover - Revision history

127.0.0.1: Created page with "'''Crossover''' is a basic solving technique for Sudoku-X, which says that if there are exactly two cells '''A''' and '''B''' with candidate '''X''' along a ..."