https://www.sudopedia.org/index.php?action=history&feed=atom&title=Contradiction 2026-04-29T04:15:54Z Revision history for this page on the wiki MediaWiki 1.34.1 https://www.sudopedia.org/index.php?title=Contradiction&diff=246&oldid=prev 2020-06-04T01:25:59Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 01:25, 4 June 2020</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3" >Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>Aliases include '''conflict''' and '''error'''.</div></td><td class='diff-marker'> </td><td style="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;"><div>Aliases include '''conflict''' and '''error'''.</div></td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>A '''contradiction''' is an essential part of <del class="diffchange diffchange-inline">[[</del>Trial &amp; Error<del class="diffchange diffchange-inline">]] </del>and related [[solving technique]]s. It is also used in the proof for other advanced solving techniques, but not necessarily used when such a technique is employed by a player.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''contradiction''' is an essential part of Trial &amp; Error and related [[solving technique]]s. It is also used in the proof for other advanced solving techniques, but not necessarily used when such a technique is employed by a player.</div></td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>When a contradiction is found, either the puzzle or a previous move is invalid. Since most solving techniques depend on a valid puzzle, the move is assumed to be invalid. This allows the player to perform the complementary move.</div></td><td class='diff-marker'> </td><td style="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;"><div>When a contradiction is found, either the puzzle or a previous move is invalid. Since most solving techniques depend on a valid puzzle, the move is assumed to be invalid. This allows the player to perform the complementary move.</div></td></tr> </table>

Rooted https://www.sudopedia.org/index.php?title=Contradiction&diff=245&oldid=prev 2020-06-04T01:23:12Z

<p>Created page with &quot;The state of the <a href="/wiki/Grid" title="Grid">grid</a> in which the puzzle no longer complies with the <a href="/wiki/Rule" title="Rule">rule</a>. Aliases include &#039;&#039;&#039;conflict&#039;&#039;&#039; and &#039;&#039;&#039;error&#039;&#039;&#039;. A &#039;&#039;&#039;contradiction&#039;&#039;&#039; is an essential par...&quot;</p> <p><b>New page</b></p><div>The state of the [[grid]] in which the puzzle no longer complies with the [[rule]].<br /> <br /> Aliases include '''conflict''' and '''error'''.<br /> <br /> A '''contradiction''' is an essential part of [[Trial &amp; Error]] and related [[solving technique]]s. It is also used in the proof for other advanced solving techniques, but not necessarily used when such a technique is employed by a player.<br /> <br /> When a contradiction is found, either the puzzle or a previous move is invalid. Since most solving techniques depend on a valid puzzle, the move is assumed to be invalid. This allows the player to perform the complementary move.<br /> <br /> == Contradiction Types ==<br /> ; No [[candidate]]s left in a [[constraint]].<br /> : All candidates have been eliminated.<br /> <br /> ; 2 or more different candidates forced into a single constraint.<br /> : This is a conflict, because only one of these candidates can belong to the solution.<br /> <br /> Depending on the way the solving technique is implemented, the second type can easily be transformed into the first type by letting one of the conflicting candidates eliminate the other.</div>

Rooted