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	<id>https://www.sudopedia.org/index.php?action=history&amp;feed=atom&amp;title=Crossover</id>
	<title>Crossover - Revision history</title>
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	<updated>2026-04-29T10:14:46Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.sudopedia.org/index.php?title=Crossover&amp;diff=424&amp;oldid=prev</id>
		<title>Rooted: /* External Link */</title>
		<link rel="alternate" type="text/html" href="https://www.sudopedia.org/index.php?title=Crossover&amp;diff=424&amp;oldid=prev"/>
		<updated>2022-01-20T02:55:00Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;External Link&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 02:55, 20 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l9&quot; &gt;Line 9:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 9:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;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'''.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;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'''.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== External Link ==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [http://www.djape.net/sudoku/forum/viewtopic.php?t=237 djape.net forum post]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See Also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Rooted</name></author>
		
	</entry>
	<entry>
		<id>https://www.sudopedia.org/index.php?title=Crossover&amp;diff=422&amp;oldid=prev</id>
		<title>Rooted: Created page with &quot;'''Crossover''' is a basic technique for Sudoku-X, which says that if there are exactly two cells '''A''' and '''B''' with candidate '''X''' along a diagonal...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.sudopedia.org/index.php?title=Crossover&amp;diff=422&amp;oldid=prev"/>
		<updated>2022-01-20T02:53:58Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Crossover&amp;#039;&amp;#039;&amp;#039; is a basic &lt;a href=&quot;/wiki/Technique&quot; class=&quot;mw-redirect&quot; title=&quot;Technique&quot;&gt;technique&lt;/a&gt; for &lt;a href=&quot;/wiki/Sudoku-X&quot; title=&quot;Sudoku-X&quot;&gt;Sudoku-X&lt;/a&gt;, which says that if there are exactly two &lt;a href=&quot;/wiki/Cell&quot; title=&quot;Cell&quot;&gt;cells&lt;/a&gt; &amp;#039;&amp;#039;&amp;#039;A&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;B&amp;#039;&amp;#039;&amp;#039; with &lt;a href=&quot;/wiki/Candidate&quot; title=&quot;Candidate&quot;&gt;candidate&lt;/a&gt; &amp;#039;&amp;#039;&amp;#039;X&amp;#039;&amp;#039;&amp;#039; along a diagonal...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Crossover''' is a basic [[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'''.&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
== Example ==&lt;br /&gt;
The following example illustrates the crossover technique.&lt;br /&gt;
&lt;br /&gt;
[[Image:Crossover.png]]&lt;br /&gt;
&lt;br /&gt;
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'''.&lt;br /&gt;
&lt;br /&gt;
== External Link ==&lt;br /&gt;
* [http://www.djape.net/sudoku/forum/viewtopic.php?t=237 djape.net forum post]&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[Double Crossover]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Solving Techniques]]&lt;br /&gt;
[[Category:Sudoku-X]]&lt;/div&gt;</summary>
		<author><name>Rooted</name></author>
		
	</entry>
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