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<span>Features</span> </div> </a> <ul id="toc-Features-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tactical_puzzles" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tactical_puzzles"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Tactical puzzles</span> </div> </a> <ul id="toc-Tactical_puzzles-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Types_of_problems" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Types_of_problems"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Types of problems</span> </div> </a> <ul id="toc-Types_of_problems-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Beauty_in_chess_problems" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Beauty_in_chess_problems"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Beauty in chess problems</span> </div> </a> <ul id="toc-Beauty_in_chess_problems-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Example_problem" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Example_problem"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Example problem</span> </div> </a> <ul id="toc-Example_problem-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Abbreviations" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Abbreviations"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Abbreviations</span> </div> </a> <ul id="toc-Abbreviations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tournaments" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tournaments"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Tournaments</span> </div> </a> <button aria-controls="toc-Tournaments-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Tournaments subsection</span> </button> <ul id="toc-Tournaments-sublist" class="vector-toc-list"> <li id="toc-Composition_tournaments" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Composition_tournaments"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Composition tournaments</span> </div> </a> <ul id="toc-Composition_tournaments-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Solving_tournaments" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Solving_tournaments"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Solving tournaments</span> </div> </a> <ul id="toc-Solving_tournaments-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Titles" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Titles"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Titles</span> </div> </a> <ul id="toc-Titles-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Further_reading" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Further_reading"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Further reading</span> </div> </a> <ul id="toc-Further_reading-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Chess problem</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" 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Available in 36 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-36" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">36 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B3%D8%A3%D9%84%D8%A9_%D8%B4%D8%B7%D8%B1%D9%86%D8%AC" title="مسألة شطرنج – Arabic" lang="ar" hreflang="ar" data-title="مسألة شطرنج" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A8%D0%B0%D1%85%D0%BC%D0%B0%D1%82%D0%BD%D0%B0_%D0%BA%D0%BE%D0%BC%D0%BF%D0%BE%D0%B7%D0%B8%D1%86%D0%B8%D1%8F" title="Шахматна композиция – Bulgarian" lang="bg" hreflang="bg" data-title="Шахматна композиция" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://bs.wikipedia.org/wiki/Problemski_%C5%A1ah" title="Problemski šah – Bosnian" lang="bs" hreflang="bs" data-title="Problemski šah" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Problema_d%27escacs" title="Problema d'escacs – Catalan" lang="ca" hreflang="ca" data-title="Problema d'escacs" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kompozi%C4%8Dn%C3%AD_%C5%A1ach" title="Kompoziční šach – Czech" lang="cs" hreflang="cs" data-title="Kompoziční šach" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Problemskak" title="Problemskak – Danish" lang="da" hreflang="da" data-title="Problemskak" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://de.wikipedia.org/wiki/Schachkomposition" title="Schachkomposition – German" lang="de" hreflang="de" data-title="Schachkomposition" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Maleprobleem" title="Maleprobleem – Estonian" lang="et" hreflang="et" data-title="Maleprobleem" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CE%BA%CE%B1%CE%BA%CE%B9%CF%83%CF%84%CE%B9%CE%BA%CF%8C_%CF%80%CF%81%CF%8C%CE%B2%CE%BB%CE%B7%CE%BC%CE%B1" title="Σκακιστικό πρόβλημα – Greek" lang="el" hreflang="el" data-title="Σκακιστικό πρόβλημα" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Problema_de_ajedrez" title="Problema de ajedrez – Spanish" lang="es" hreflang="es" data-title="Problema de ajedrez" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/%C5%9Cakproblemo" title="Ŝakproblemo – Esperanto" lang="eo" hreflang="eo" data-title="Ŝakproblemo" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%B3%D8%A6%D9%84%D9%87_%D8%B4%D8%B7%D8%B1%D9%86%D8%AC" title="مسئله شطرنج – Persian" lang="fa" hreflang="fa" data-title="مسئله شطرنج" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Probl%C3%A8me_d%27%C3%A9checs" title="Problème d'échecs – French" lang="fr" hreflang="fr" data-title="Problème d'échecs" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Problemski_%C5%A1ah" title="Problemski šah – Croatian" lang="hr" hreflang="hr" data-title="Problemski šah" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Masalah_catur" title="Masalah catur – Indonesian" lang="id" hreflang="id" data-title="Masalah catur" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Problema_di_scacchi" title="Problema di scacchi – Italian" lang="it" hreflang="it" data-title="Problema di scacchi" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%91%D7%A2%D7%99%D7%99%D7%AA_%D7%A9%D7%97%D7%9E%D7%98" title="בעיית שחמט – Hebrew" lang="he" hreflang="he" data-title="בעיית שחמט" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Problema_scacchicum" title="Problema scacchicum – Latin" lang="la" hreflang="la" data-title="Problema scacchicum" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/%C5%A0aha_kompoz%C4%ABcija" title="Šaha kompozīcija – Latvian" lang="lv" hreflang="lv" data-title="Šaha kompozīcija" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/%C5%A0achmat%C5%B3_kompozicija" title="Šachmatų kompozicija – Lithuanian" lang="lt" hreflang="lt" data-title="Šachmatų kompozicija" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Probleemschaak" title="Probleemschaak – Dutch" lang="nl" hreflang="nl" data-title="Probleemschaak" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%81%E3%82%A7%E3%82%B9%E3%83%BB%E3%83%97%E3%83%AD%E3%83%96%E3%83%AC%E3%83%A0" title="チェス・プロブレム – Japanese" lang="ja" hreflang="ja" data-title="チェス・プロブレム" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Problemsjakk" title="Problemsjakk – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Problemsjakk" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Problemsjakk" title="Problemsjakk – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Problemsjakk" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Kompozycja_szachowa" title="Kompozycja szachowa – Polish" lang="pl" hreflang="pl" data-title="Kompozycja szachowa" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Problemas_de_xadrez" title="Problemas de xadrez – Portuguese" lang="pt" hreflang="pt" data-title="Problemas de xadrez" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A8%D0%B0%D1%85%D0%BC%D0%B0%D1%82%D0%BD%D0%B0%D1%8F_%D0%BA%D0%BE%D0%BC%D0%BF%D0%BE%D0%B7%D0%B8%D1%86%D0%B8%D1%8F" title="Шахматная композиция – Russian" lang="ru" hreflang="ru" data-title="Шахматная композиция" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kompozi%C4%8Dn%C3%BD_%C5%A1ach" title="Kompozičný šach – Slovak" lang="sk" hreflang="sk" data-title="Kompozičný šach" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Problemski_%C5%A1ah" title="Problemski šah – Slovenian" lang="sl" hreflang="sl" data-title="Problemski šah" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D0%B1%D0%BB%D0%B5%D0%BC%D1%81%D0%BA%D0%B8_%D1%88%D0%B0%D1%85" title="Проблемски шах – Serbian" lang="sr" hreflang="sr" data-title="Проблемски шах" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Problemski_%C5%A1ah" title="Problemski šah – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Problemski šah" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Teht%C3%A4v%C3%A4shakki" title="Tehtäväshakki – Finnish" lang="fi" hreflang="fi" data-title="Tehtäväshakki" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Schackproblem" title="Schackproblem – Swedish" lang="sv" hreflang="sv" data-title="Schackproblem" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A8%D0%B0%D1%85%D0%BE%D0%B2%D0%B0_%D0%BA%D0%BE%D0%BC%D0%BF%D0%BE%D0%B7%D0%B8%D1%86%D1%96%D1%8F" title="Шахова композиція – Ukrainian" lang="uk" hreflang="uk" data-title="Шахова композиція" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/C%C3%A2u_%C4%91%E1%BB%91_c%E1%BB%9D_vua" title="Câu đố cờ vua – Vietnamese" lang="vi" hreflang="vi" data-title="Câu đố cờ vua" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%9C%8B%E9%9A%9B%E8%B1%A1%E6%A3%8B%E6%A3%8B%E8%AC%8E" title="國際象棋棋謎 – Chinese" lang="zh" hreflang="zh" data-title="國際象棋棋謎" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q211115#sitelinks-wikipedia" title="Edit interlanguage links" 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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Chess composition whose solution is a mate or other clear objective</div> <style data-mw-deduplicate="TemplateStyles:r1034237262">.mw-parser-output .stack{box-sizing:border-box}.mw-parser-output .stack>div{margin:1px;overflow:hidden}@media all and (min-width:720px){.mw-parser-output .stack-clear-left{float:left;clear:left}.mw-parser-output .stack-clear-right{float:right;clear:right}.mw-parser-output .stack-left{float:left}.mw-parser-output .stack-right{float:right}.mw-parser-output .stack-margin-clear-left{float:left;clear:left;margin-right:1em}.mw-parser-output .stack-margin-clear-right{float:right;clear:right;margin-left:1em}.mw-parser-output .stack-margin-left{float:left;margin-right:1em}.mw-parser-output .stack-margin-right{float:right;margin-left:1em}}</style><div class="stack mw-stack stack-right"><div><figure typeof="mw:File/Thumb"><a 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style="padding-top:0;padding-bottom:0.5em;"> <ul><li><a href="/wiki/List_of_maze_video_games" title="List of maze video games">Mazes</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="padding-bottom:0;"> <a href="/wiki/Metapuzzle" title="Metapuzzle">Metapuzzles</a></th></tr></tbody></table></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:lavender;text-align:center;;color: var(--color-base)"><span style="font-size:120%"><a href="/wiki/List_of_puzzle_topics" title="List of puzzle topics">Topics</a></span></div><div class="sidebar-list-content mw-collapsible-content" style="padding-left:1.5em;padding-right:1.5em;"><div class="hlist"> <ul><li><a href="/wiki/Brain_teaser" title="Brain teaser">Brain teaser</a></li> <li><a href="/wiki/Dilemma" title="Dilemma">Dilemma</a></li> <li><a href="/wiki/Riddle_joke" title="Riddle joke">Joke</a></li> <li><a href="/wiki/Optical_illusion" title="Optical illusion">Optical illusion</a></li> <li><a href="/wiki/Packing_problems" title="Packing problems">Packing problems</a></li> <li><a href="/wiki/Paradox" title="Paradox">Paradox</a></li> <li><a href="/wiki/Problem_solving" title="Problem solving">Problem solving</a></li> <li><a href="/wiki/Puzzlehunt" class="mw-redirect" title="Puzzlehunt">Puzzlehunt</a></li> <li><a href="/wiki/Syllogism" title="Syllogism">Syllogism</a></li> <li><a href="/wiki/Riddle-tale" title="Riddle-tale">Tale</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:lavender;text-align:center;;color: var(--color-base)"><span style="font-size:120%">Lists</span></div><div class="sidebar-list-content mw-collapsible-content" style="padding-left:1.5em;padding-right:1.5em;"> <ul><li><a href="/wiki/List_of_impossible_puzzles" title="List of impossible puzzles">Impossible puzzles</a></li> <li><a href="/wiki/List_of_maze_video_games" title="List of maze video games">Maze video games</a></li> <li><a href="/wiki/Nikoli_(publisher)" title="Nikoli (publisher)">Nikoli puzzle types</a></li> <li><a href="/wiki/List_of_puzzle_video_games" title="List of puzzle video games">Puzzle video games</a></li> <li><a href="/wiki/List_of_puzzle_topics" title="List of puzzle topics">Puzzle topics</a></li></ul></div></div></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Puzzles" title="Template:Puzzles"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Puzzles" title="Template talk:Puzzles"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Puzzles" title="Special:EditPage/Template:Puzzles"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> </div></div> <p>A <b>chess problem</b>, also called a <b>chess composition</b>, is a <a href="/wiki/Chess_puzzle" title="Chess puzzle">puzzle</a> set by the composer using <a href="/wiki/Chess_piece" title="Chess piece">chess pieces</a> on a <a href="/wiki/Chess" title="Chess">chess</a> <a href="/wiki/Chessboard" title="Chessboard">board</a>, which presents the solver with a particular task. For instance, a position may be given with the instruction that White is to move first, and <a href="/wiki/Checkmate" title="Checkmate">checkmate</a> Black in two moves against any possible defence. A chess problem fundamentally differs from <dfn><a href="/wiki/Glossary_of_chess#over-the-board" title="Glossary of chess"><span title="See entry at: Glossary of chess § over-the-board" style="color:inherit;" class="glossary-link">over-the-board</span></a></dfn> play in that the latter involves a struggle between Black and White, whereas the former involves a competition between the composer and the solver. Most positions which occur in a chess problem are unrealistic in the sense that they are very unlikely to occur in over-the-board play.<sup id="cite_ref-oz_1-0" class="reference"><a href="#cite_note-oz-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> There is a good deal of <a href="/wiki/Glossary_of_chess_problems" title="Glossary of chess problems">specialized jargon used in connection with chess problems</a>. </p> <style data-mw-deduplicate="TemplateStyles:r1141322084">@media all and (max-width:720px){.mw-parser-output .tocleft{width:100%!important}}@media all and (min-width:720px){.mw-parser-output .tocleft{float:left;clear:left;width:auto;margin:0 1em 0.5em 0}body.skin-vector-2022 .mw-parser-output .tocleft{margin:0}.mw-parser-output .tocleft-clear-both{clear:both}.mw-parser-output .tocleft-clear-none{clear:none}}</style><div class="tocleft" style=""><meta property="mw:PageProp/toc" /></div><style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1097430093">@media(min-width:720px){.mw-parser-output .algebraic-notation-toc{float:left}}</style><div role="note" class="side-box metadata side-box-left algebraic-notation algebraic-notation-toc"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"> <div class="side-box-flex"> <div class="side-box-text plainlist">This article uses <a href="/wiki/Algebraic_notation_(chess)" title="Algebraic notation (chess)">algebraic notation</a> to describe chess moves.</div></div> </div><div style="clear:left;" class=""></div> <div class="mw-heading mw-heading2"><h2 id="Definition">Definition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=1" title="Edit section: Definition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The term <b>chess problem</b> is not sharply defined: there is no clear demarcation between chess compositions on the one hand and puzzle or <a href="/wiki/Chess_tactics" class="mw-redirect" title="Chess tactics">tactical</a> exercises on the other. In practice, however, the distinction is very clear. There are common characteristics shared by compositions in the problem section of chess magazines, in specialist chess problem magazines, and in collections of chess problems in book form.<sup id="cite_ref-oz_1-1" class="reference"><a href="#cite_note-oz-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Features">Features</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=2" title="Edit section: Features"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Not every chess problem has every one of these features, but most have several: </p> <ul><li>The position is <i>composed</i> – that is, it has not been taken from an actual game, but has been invented for the specific purpose of providing a problem. Although a constraint on orthodox chess problems is that the original position be reachable via a series of legal moves from the starting position, most problem positions would not arise in over-the-board play.</li> <li>There is a specific <i>stipulation</i>, that is, a goal to be achieved; for example, to checkmate Black within a specified number of moves.</li> <li>There is a <i>theme</i> (or combination of themes) that the problem has been composed to illustrate: chess problems typically instantiate particular ideas.</li> <li>The problem exhibits <i>economy</i> in its construction: no greater force is employed than that required to render the problem sound (that is, to guarantee that the problem's intended solution is indeed a solution and that it is the problem's only solution).</li> <li>The problem has <em>aesthetic value</em>. Problems are experienced not only as puzzles but as objects of beauty. This is closely related to the fact that problems are organised to exhibit clear ideas in as economical a manner as possible.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Tactical_puzzles">Tactical puzzles</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=3" title="Edit section: Tactical puzzles"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Problems can be contrasted with tactical puzzles often found in chess columns or magazines in which the task is to find the best move or sequence of moves (usually leading to mate or gain of material) from a given position. Such puzzles are often taken from actual games, or at least have positions which look as if they could have arisen during a game, and are used for instructional purposes. Most such puzzles fail to exhibit the above features. </p> <div class="mw-heading mw-heading2"><h2 id="Types_of_problems">Types of problems</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=4" title="Edit section: Types of problems"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="thumb noviewer tright"><div class="center" style="line-height:130%;margin:0 auto;max-width:254px"> Godfrey Heathcote<br /><i>Hampstead and Highgate Express</i>, <br />1905–1906 (1st Prize) </div><div class="thumbinner" style="width:246px"><table cellpadding="0" cellspacing="0" style="font-size:88%;border:1px #c8ccd1 solid;padding:0;margin:auto"><tbody><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td><td colspan="8" rowspan="8" style="padding:0;vertical-align:inherit"><div class="chess-board notheme" style="position:relative"><span class="notpageimage" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/208px-Chessboard480.svg.png" decoding="async" width="208" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/312px-Chessboard480.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/416px-Chessboard480.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span><div style="position:absolute;z-index:3;top:0px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g8 white king"><img alt="g8 white king" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/26px-Chess_klt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/39px-Chess_klt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/52px-Chess_klt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a7 black pawn"><img alt="a7 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b7 white knight"><img alt="b7 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e7 white rook"><img alt="e7 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g7 white pawn"><img alt="g7 white pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/26px-Chess_plt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/39px-Chess_plt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/52px-Chess_plt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h7 white queen"><img alt="h7 white queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/26px-Chess_qlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/39px-Chess_qlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/52px-Chess_qlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:52px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a6 black pawn"><img alt="a6 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a5 black rook"><img alt="a5 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d5 black king"><img alt="d5 black king" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/26px-Chess_kdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/39px-Chess_kdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/52px-Chess_kdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h5 black rook"><img alt="h5 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a4 white knight"><img alt="a4 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d4 black knight"><img alt="d4 black knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/26px-Chess_ndt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/39px-Chess_ndt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/52px-Chess_ndt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:130px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b3 white pawn"><img alt="b3 white pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/26px-Chess_plt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/39px-Chess_plt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/52px-Chess_plt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:130px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e3 black pawn"><img alt="e3 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a2 white bishop"><img alt="a2 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b2 white bishop"><img alt="b2 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h2 black pawn"><img alt="h2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c1 white rook"><img alt="c1 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d1 black bishop"><img alt="d1 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g1 black bishop"><img alt="g1 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h1 black queen"><img alt="h1 black queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/26px-Chess_qdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/39px-Chess_qdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/52px-Chess_qdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div></div></td><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td></tr><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr></tbody></table><div class="thumbcaption"> <style data-mw-deduplicate="TemplateStyles:r1214851843">.mw-parser-output .hidden-begin{box-sizing:border-box;width:100%;padding:5px;border:none;font-size:95%}.mw-parser-output .hidden-title{font-weight:bold;line-height:1.6;text-align:left}.mw-parser-output .hidden-content{text-align:left}@media all and (max-width:500px){.mw-parser-output .hidden-begin{width:auto!important;clear:none!important;float:none!important}}</style><div class="hidden-begin mw-collapsible mw-collapsed" style=""><div class="hidden-title skin-nightmode-reset-color" style="text-align:left; font-weight:normal;">White mates in two</div><div class="hidden-content mw-collapsible-content" style=""> <p>Solution: 1.Rcc7<a href="/wiki/Chess_annotation_symbols#!" title="Chess annotation symbols">!</a> (threatening 2.Nc3) </p> <ul><li>1...Nxb3 2.Qd3#</li> <li>1...Nb5 2.Rc5#</li> <li>1...Nc6 2.Rcd7#</li> <li>1...Ne6 2.Red7#</li> <li>1...Nf5 2.Re5#</li> <li>1...Nf3 2.Qe4#</li> <li>1...Ne2 2.Qxh5#</li> <li>1...Nc2 2.b4#</li> <li>1...Rxa4 2.Rc5#</li> <li>1...Rc5 2.Rxc5#</li></ul> (When a black knight can move to the maximum number of eight squares like this, it is known as a <i>knight wheel</i>.)</div></div> </div></div></div> <div class="thumb noviewer tright"><div class="center" style="line-height:130%;margin:0 auto;max-width:254px"> Lutz Neweklowsky, 2001 <br />(after Thompson <br />& Karrer 2000)<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </div><div class="thumbinner" style="width:246px"><table cellpadding="0" cellspacing="0" style="font-size:88%;border:1px #c8ccd1 solid;padding:0;margin:auto"><tbody><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td><td colspan="8" rowspan="8" style="padding:0;vertical-align:inherit"><div class="chess-board notheme" style="position:relative"><span class="notpageimage" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/208px-Chessboard480.svg.png" decoding="async" width="208" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/312px-Chessboard480.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/416px-Chessboard480.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span><div style="position:absolute;z-index:3;top:0px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b8 white knight"><img alt="b8 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:0px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d8 white bishop"><img alt="d8 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:0px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h8 white queen"><img alt="h8 white queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/26px-Chess_qlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/39px-Chess_qlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/52px-Chess_qlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b7 white rook"><img alt="b7 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c7 white king"><img alt="c7 white king" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/26px-Chess_klt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/39px-Chess_klt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/52px-Chess_klt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e7 black bishop"><img alt="e7 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:52px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f6 black queen"><img alt="f6 black queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/26px-Chess_qdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/39px-Chess_qdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/52px-Chess_qdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g4 black knight"><img alt="g4 black knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/26px-Chess_ndt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/39px-Chess_ndt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/52px-Chess_ndt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e2 white knight"><img alt="e2 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f2 black knight"><img alt="f2 black knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/26px-Chess_ndt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/39px-Chess_ndt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/52px-Chess_ndt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g2 black rook"><img alt="g2 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h2 black pawn"><img alt="h2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b1 white rook"><img alt="b1 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f1 white bishop"><img alt="f1 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g1 black rook"><img alt="g1 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h1 black king"><img alt="h1 black king" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/26px-Chess_kdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/39px-Chess_kdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/52px-Chess_kdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div></div></td><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td></tr><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr></tbody></table><div class="thumbcaption"> Mate in 267 moves; the longest moremover without <dfn><a href="/wiki/Glossary_of_chess_problems#obtrusive_piece" title="Glossary of chess problems"><span title="See entry at: Glossary of chess problems § obtrusive piece" style="color:inherit;" class="glossary-link">obtrusive units</span></a></dfn> </div></div></div> <p>There are various different types of chess problems: </p> <ul><li><b>Directmates</b>: White to move first and checkmate Black within a specified number of moves against any defence. These are often referred to as "mate in <span class="texhtml mvar" style="font-style:italic;">n</span>", where <span class="texhtml mvar" style="font-style:italic;">n</span> is the number of moves within which mate must be delivered. In composing and solving competitions, directmates are further broken down into three classes: <ul><li><b>Two-movers</b>: White to move and checkmate Black in two moves against any defence.</li> <li><b>Three-movers</b>: White to move and checkmate Black in no more than three moves against any defence.</li> <li><b><a href="/wiki/Grotesque_(chess)#Moremover" title="Grotesque (chess)">Moremovers</a></b>: White to move and checkmate Black in <span class="texhtml mvar" style="font-style:italic;">n</span> moves against any defence, where <span class="texhtml mvar" style="font-style:italic;">n</span> is some particular number greater than three.</li></ul></li> <li><b><a href="/wiki/Helpmate" title="Helpmate">Helpmates</a></b>: Black to move first cooperates with White to get Black's own king mated in a specified number of moves.</li> <li><b><a href="/wiki/Selfmate" title="Selfmate">Selfmates</a></b>: White moves first and forces Black (in a specified number of moves) to checkmate White.</li> <li><b><a href="/w/index.php?title=Helpselfmate&action=edit&redlink=1" class="new" title="Helpselfmate (page does not exist)">Helpselfmates</a></b>: White to move first cooperates with Black to get a position of selfmate in one move.</li> <li><b><a href="/wiki/Reflexmate" title="Reflexmate">Reflexmates</a></b>: a form of selfmate with the added stipulation that each side <em>must</em> give mate if it is able to do so. When this stipulation applies only to Black, it is a <i>semi-reflexmate</i>.</li> <li><b><a href="/wiki/Seriesmover" title="Seriesmover">Seriesmovers</a></b>: one side makes a series of moves without reply to achieve a stipulated aim. Check may not be given except on the last move. A seriesmover may take various forms: <ul><li><b>Seriesmate</b>: a directmate with White playing a series of moves without reply to checkmate Black.</li> <li><b>Serieshelpmate</b>: a helpmate in which Black plays a series of moves without reply after which White plays one move to checkmate Black.</li> <li><b>Seriesselfmate</b>: a selfmate in which White plays a series of moves leading to a position in which Black is forced to give mate.</li> <li><b>Seriesreflexmate</b>: a reflexmate in which White plays a series of moves leading to a position in which Black can, and therefore must, give mate.</li></ul></li> <li><b><a href="/wiki/Endgame_study" title="Endgame study">Studies</a></b>: an orthodox problem in which the stipulation is that White to play must win or draw. Almost all studies are <a href="/wiki/Chess_endgame" title="Chess endgame">endgame</a> positions. Studies are composed chess problems, but because their stipulation is open-ended (the win or draw does not have to be achieved within any particular number of moves) they are usually thought of as distinct from problems and as a form of composition that is closer to the puzzles of interest to over-the-board players. Indeed, composed studies have often extended our knowledge of endgame theory. But again, there is no clear dividing line between the two kinds of positions.</li></ul> <p>In all the above types of problem, <a href="/wiki/Castling" title="Castling">castling</a> is assumed to be allowed unless it can be proved by <a href="/wiki/Retrograde_analysis" title="Retrograde analysis">retrograde analysis</a> (see below) that the rook in question or king must have previously moved. <i><a href="/wiki/En_passant" title="En passant">En passant</a></i> captures, on the other hand, are assumed <em>not</em> to be legal, unless it can be proved that the pawn to be captured must have moved two squares on the previous move.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (May 2023)">citation needed</span></a></i>]</sup> </p><p>There are several other types of chess problem which do not fall into any of the above categories. Some of these are really coded <a href="/wiki/Mathematical_chess_problem" title="Mathematical chess problem">mathematical problems</a>, expressed using the geometry and pieces of the chessboard. A famous such problem is the <a href="/wiki/Knight%27s_tour" title="Knight's tour">knight's tour</a>, in which one is to determine the path of a knight that visits each square of the board exactly once. Another is the <a href="/wiki/Eight_queens_puzzle" title="Eight queens puzzle">eight queens</a> problem, in which eight queens are to be placed on the board so that none is attacking any of the others. </p><p>Of far greater relation to standard chess problems, however, are the following, which have a rich history and have been revisited many times, with magazines, books and prizes dedicated to them: </p> <ul><li><b><a href="/wiki/Retrograde_analysis" title="Retrograde analysis">Retrograde analysis problems</a></b>: such problems, often also called <i>retros</i>, typically present the solver with a diagram position and a question. In order to answer the question, the solver must work out the history of the position, that is, must work backwards from the given position to the previous move or moves that have been played.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> A problem employing retrograde analysis may, for example, present a position and ask questions like "What was White's last move?", "Has the bishop on c1 moved?", "Is the black knight actually a promoted pawn?", "Can White castle?", etc. Some retrograde analysis may also have to be employed in more conventional problems (directmates and so on) to determine, for example, whether an <i>en passant</i> pawn capture or castling is possible. The most important subset of retro problems are: <ul><li><b><a href="/wiki/Proof_game" title="Proof game">Shortest proof games</a></b>: the solver is given a position and must construct a game, starting from the normal game array, which ends in that position. The two sides cooperate to reach the position, but all moves must be legal. Usually the number of moves required to reach the position is given, though sometimes the task is simply to reach the given position in the smallest number of moves.</li></ul></li> <li><b>Construction tasks</b>: no diagram is given in construction tasks; instead, the aim is to construct a game or position with certain features. For example, <a href="/wiki/Sam_Loyd" title="Sam Loyd">Sam Loyd</a> devised the problem: "Construct a game which ends with black delivering discovered checkmate on move four" (published in <i>Le Sphinx</i>, 1866 – the solution is 1.f3 e5 2.Kf2 h5 3.Kg3 h4+ 4.Kg4 d5#); while all White moves are unique (see <a href="#Beauty_in_chess_problems">Beauty in chess problems</a>), the Black ones are not. A unique problem is: "Construct a game with black b-pawn checkmating on move four" (from <i>Shortest construction tasks map</i> in <a href="#External_links">External links</a> section; the unique solution is 1.d4 c6 2.Kd2 Qa5+ 3.Kd3 Qa3+ 4.Kc4 b5#). Some construction tasks ask for a maximum or minimum number of effects to be arranged, for example a game with the maximum possible number of consecutive discovered checks, or a position in which all sixteen pieces control the minimum number of squares. A special class are games uniquely determined by their last move like "3...Rxe5+" or "4...b5#" from above.</li></ul> <p>Across most of the above genres, there is great interest in exploring <a href="/wiki/Fairy_chess" title="Fairy chess">fairy chess</a>, in which non-standard boards, pieces or rules apply. </p> <div class="mw-heading mw-heading2"><h2 id="Beauty_in_chess_problems">Beauty in chess problems</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=5" title="Edit section: Beauty in chess problems"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Frame"><a href="/wiki/File:Pawn2knight.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/en/c/c7/Pawn2knight.gif" decoding="async" width="100" height="80" class="mw-file-element" data-file-width="100" data-file-height="80" /></a><figcaption>Black mating on move 5 by promoting to knight</figcaption></figure> <p>The role of <a href="/wiki/Chess_aesthetics" title="Chess aesthetics">aesthetic evaluation</a> in the appreciation of chess problems is very significant, and indeed most composers and solvers consider such compositions to be an art form. <a href="/wiki/Vladimir_Nabokov" title="Vladimir Nabokov">Vladimir Nabokov</a> wrote about the "originality, invention, conciseness, harmony, complexity, and splendid insincerity" of creating chess problems and spent considerable time doing so. There are no official standards by which to distinguish a beautiful problem from a poor one and such judgments can vary from individual to individual as well as from generation to generation. Such variation is to be expected when it comes to aesthetic appraisal. Nevertheless, modern taste generally recognises the following elements to be important in the aesthetic evaluation of a problem: </p> <ul><li>The problem position must be legal. That is to say, the diagram must be reachable by legal moves beginning with the initial game array. It is not considered a defect if the diagram can only be reached via a game containing what over-the-board players would consider gross blunders.</li> <li>The first move of the problem's solution (the <i>key move</i> or <i>key</i>) must be unique. A problem which has two keys is said to be <i>cooked</i> and is judged to be <i>unsound</i> or defective. (Exceptions are problems which are composed to have more than one solution which are thematically related to one another in some way; this type of problem is particularly common in helpmates.)</li> <li>Ideally, in directmates, there should be a unique White move after <em>each</em> Black move. A choice of White moves (other than the key) is a <i>dual</i>. Duals are often tolerated if the problem is strong in other regards and if the duals occur in lines of play that are subsidiary to the main theme.</li> <li>The solution should illustrate a theme or themes, rather than emerging from disjointed calculation. Many of the more common themes have been given names by problemists (see <a href="/wiki/Chess_problem_terminology" class="mw-redirect" title="Chess problem terminology">chess problem terminology</a> for a list).</li> <li>The key move of the solution should not be obvious. Obvious moves such as checks, captures, and (in directmates) moves which restrict the movement of the black king make for bad keys. Keys which deprive the black king of some squares to which it could initially move (<i>flight squares</i>), but at the same time make available an equal or greater number of flight squares are acceptable. Key moves which prevent the enemy from playing a checking move are also undesirable, particularly in cases where there is no mate provided after the checking move. In general, the weaker (in terms of ordinary over-the-board play) the key move is the less obvious it will be, and hence the more highly prized it will be.</li> <li>There should be no <a href="/wiki/Promotion_(chess)" title="Promotion (chess)">promoted</a> pawns in the initial position. For example, if White has three knights, one of them must clearly have been promoted; the same is true of two <dfn><a href="/wiki/Glossary_of_chess#light-square_bishops" title="Glossary of chess"><span title="See entry at: Glossary of chess § light-square bishops" style="color:inherit;" class="glossary-link">light-square bishops</span></a></dfn>. There are more subtle cases: if f1 is empty, a white bishop stands on b5 and there are white pawns on e2 and g2, then the bishop must be a promoted pawn (there is no way the original bishop could have gotten past those unmoved pawns). A piece such as this, which does not leave a player with pieces additional to those at the start of a game, but which nonetheless must have been promoted, is called <i>obtrusive</i>. The presence of obtrusive units constitutes a smaller flaw than the presence of more obviously promoted units.</li> <li>The problem should be economical.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> There are several facets to this desideratum. For one thing, every piece on the board should serve a purpose, either to enable the actual solution, or to exclude alternative solutions. Extra units should not be added to create "red herrings" (this is called <i>dressing the board</i>), except in rare cases where this is part of the theme. If the theme can be shown with fewer total units, it should be. For another, the problem should not employ more moves than is needed to exhibit the particular theme(s) at its heart; if the theme can be shown in fewer moves, it should be.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Example_problem">Example problem</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=6" title="Edit section: Example problem"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="thumb noviewer tright"><div class="center" style="line-height:130%;margin:0 auto;max-width:254px"> Thomas Taverner <br /><i>Dubuque Chess Journal</i>, <br />1889 (1st Prize) </div><div class="thumbinner" style="width:246px"><table cellpadding="0" cellspacing="0" style="font-size:88%;border:1px #c8ccd1 solid;padding:0;margin:auto"><tbody><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td><td colspan="8" rowspan="8" style="padding:0;vertical-align:inherit"><div class="chess-board notheme" style="position:relative"><span class="notpageimage" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/208px-Chessboard480.svg.png" decoding="async" width="208" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/312px-Chessboard480.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/416px-Chessboard480.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span><div style="position:absolute;z-index:3;top:0px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d8 black bishop"><img alt="d8 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:0px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e8 black rook"><img alt="e8 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:0px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f8 black rook"><img alt="f8 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:0px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g8 black bishop"><img alt="g8 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c7 white knight"><img alt="c7 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:26px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h7 white bishop"><img alt="h7 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c5 black pawn"><img alt="c5 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h5 white queen"><img alt="h5 white queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/26px-Chess_qlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/39px-Chess_qlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/52px-Chess_qlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c4 black pawn"><img alt="c4 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f4 black king"><img alt="f4 black king" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/26px-Chess_kdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/39px-Chess_kdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/52px-Chess_kdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:130px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f3 white pawn"><img alt="f3 white pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/26px-Chess_plt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/39px-Chess_plt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/52px-Chess_plt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e2 white pawn"><img alt="e2 white pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/26px-Chess_plt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/39px-Chess_plt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/52px-Chess_plt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g2 white king"><img alt="g2 white king" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/26px-Chess_klt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/39px-Chess_klt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/52px-Chess_klt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h2 white rook"><img alt="h2 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c1 white knight"><img alt="c1 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f1 white rook"><img alt="f1 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g1 white bishop"><img alt="g1 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div></div></td><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td></tr><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr></tbody></table><div class="thumbcaption"> White mates in two </div></div></div> <p>To the right is a directmate problem composed by Thomas Taverner in 1881. </p><p>The key move is 1.Rh1. This is difficult to find because it makes no threat – instead, it puts Black in <a href="/wiki/Zugzwang" title="Zugzwang">zugzwang</a>, a situation in which the player must move, yet every move leads to a disadvantage. Each of Black's nineteen legal replies allows an immediate mate. For example, if Black defends with 1...Bxh7, the d5-square is no longer guarded, and White mates with 2.Nd5#. Or if Black plays 1...Re5, Black blocks that escape square for his king allowing 2.Qg4#. If Black plays 1...Rf6, then 2.Rh4#. Yet if Black could only pass (i.e., make no move at all), White would have no way to mate on his second move. The full solution is as follows: </p> <dl><dd>1 Rh1<a href="/wiki/Chess_annotation_symbols#!" title="Chess annotation symbols">!</a> <dl><dd>1...Bxh7, 2.Nd5# (unguards d5)</dd> <dd>1...Bf7, 2.Qf5# (interferes with rook’s guard of f5)</dd> <dd>1...Be6, 2.e3# (interferes with rook’s guard of e3)</dd> <dd>1...Bd5, 2.Nxd5# (unguards d5)</dd> <dd>1...Bxc7, 2.Rh4# (unguards h4)</dd> <dd>1...Be7, 2.e3# (interferes with rook’s guard of e3)</dd> <dd>1...Bf6, 2.Qf5# (interferes with rook’s guard of f5)</dd> <dd>1...Bg5, 2.Qh2# (blocks king’s flight to g5)</dd> <dd>1...Bh4, 2.Rxh4# (unguards h4)</dd> <dd>1...Rf7, 2.Nd5# (interferes with bishop’s guard of d5)</dd> <dd>1...Rf6, 2.Rh4# (interferes with bishop’s guard of h4)</dd> <dd>1...Rf5, 2.Qxf5# (unguards f5)</dd> <dd>1...Re7, 2.Rh4# (interferes with bishop’s guard of h4)</dd> <dd>1...Re6, 2.Nd5# (interferes with bishop’s guard of d5)</dd> <dd>1...Re5, 2.Qg4# (blocks king’s flight to e5)</dd> <dd>1...Re4, 2.fxe4# (allows pawn capture discovering check)</dd> <dd>1...Re3, 2.Bh2# (blocks king’s flight to e3)</dd> <dd>1...Rxe2+, 2.Nxe2# (allows capture on unguarded square e2)</dd> <dd>1...c3, 2.Nd3# (unguards d3)</dd></dl></dd></dl> <p>The thematic approach to solving is to notice then that in the original position, Black is already almost in zugzwang. If Black were compelled to play first, only Re3 and Bg5 would not allow immediate mate. However, each of those two moves blocks a flight square for the black king, and once White has removed his rook from h2 White can put some other piece on that square to deliver mate: 1...Re3 2.Bh2# and 1...Bg5 2.Qh2#. </p><p>The arrangement of the black rooks and bishops, with a pair of adjacent rooks flanked by a pair of bishops, is known to problemists as <a href="/wiki/Pipe_organ" title="Pipe organ">Organ Pipes</a>. This arrangement is designed to illustrate the effect of mutual Black interferences: for example, consider what happens after the key if Black plays 1...Bf7. White now mates with 2.Qf5#, a move which is only possible because the bishop Black moved has got in the way of the rook's guard of f5 – this is known as a <i>self-interference</i>. Similarly, if Black tries 1...Rf7, this interferes with the bishop's guard of d5, allowing White to mate with Nd5#. Mutual interferences like this, between two pieces on one square, are known as <a href="/wiki/Grimshaw_(chess)" title="Grimshaw (chess)">Grimshaw</a> interferences, and are the theme of this problem. The problem exhibits four such interferences, on squares e6, e7, f6, and f7. </p> <div class="thumb noviewer tright"><div class="center" style="line-height:130%;margin:0 auto;max-width:254px"> </div><div class="thumbinner" style="width:246px"><table cellpadding="0" cellspacing="0" style="font-size:88%;border:1px #c8ccd1 solid;padding:0;margin:auto"><tbody><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td><td colspan="8" rowspan="8" style="padding:0;vertical-align:inherit"><div class="chess-board notheme" style="position:relative"><span class="notpageimage" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/208px-Chessboard480.svg.png" decoding="async" width="208" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/312px-Chessboard480.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/Chessboard480.svg/416px-Chessboard480.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span><div style="position:absolute;z-index:3;top:0px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e8 white king"><img alt="e8 white king" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/26px-Chess_klt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/39px-Chess_klt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Chess_klt45.svg/52px-Chess_klt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c5 white knight"><img alt="c5 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:78px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f5 white knight"><img alt="f5 white knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/26px-Chess_nlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/39px-Chess_nlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Chess_nlt45.svg/52px-Chess_nlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d4 white queen"><img alt="d4 white queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/26px-Chess_qlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/39px-Chess_qlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/15/Chess_qlt45.svg/52px-Chess_qlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:104px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h4 white bishop"><img alt="h4 white bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/26px-Chess_blt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/39px-Chess_blt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b1/Chess_blt45.svg/52px-Chess_blt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:130px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c3 white pawn"><img alt="c3 white pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/26px-Chess_plt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/39px-Chess_plt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Chess_plt45.svg/52px-Chess_plt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:130px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e3 white rook"><img alt="e3 white rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/26px-Chess_rlt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/39px-Chess_rlt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Chess_rlt45.svg/52px-Chess_rlt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a2 black pawn"><img alt="a2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b2 black pawn"><img alt="b2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c2 black pawn"><img alt="c2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d2 black pawn"><img alt="d2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e2 black pawn"><img alt="e2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f2 black pawn"><img alt="f2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g2 black pawn"><img alt="g2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:156px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h2 black pawn"><img alt="h2 black pawn" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/26px-Chess_pdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/39px-Chess_pdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Chess_pdt45.svg/52px-Chess_pdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:0px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="a1 black rook"><img alt="a1 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:26px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="b1 black knight"><img alt="b1 black knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/26px-Chess_ndt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/39px-Chess_ndt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/52px-Chess_ndt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:52px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="c1 black bishop"><img alt="c1 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:78px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="d1 black queen"><img alt="d1 black queen" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/26px-Chess_qdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/39px-Chess_qdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Chess_qdt45.svg/52px-Chess_qdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:104px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="e1 black king"><img alt="e1 black king" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/26px-Chess_kdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/39px-Chess_kdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Chess_kdt45.svg/52px-Chess_kdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:130px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="f1 black bishop"><img alt="f1 black bishop" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/26px-Chess_bdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/39px-Chess_bdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/98/Chess_bdt45.svg/52px-Chess_bdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:156px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="g1 black knight"><img alt="g1 black knight" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/26px-Chess_ndt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/39px-Chess_ndt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Chess_ndt45.svg/52px-Chess_ndt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div><div style="position:absolute;z-index:3;top:182px;left:182px;width:26px;height:26px"><span class="mw-valign-top notpageimage" typeof="mw:File"><span title="h1 black rook"><img alt="h1 black rook" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/26px-Chess_rdt45.svg.png" decoding="async" width="26" height="26" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/39px-Chess_rdt45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Chess_rdt45.svg/52px-Chess_rdt45.svg.png 2x" data-file-width="45" data-file-height="45" /></span></span></div></div></td><td style="padding:0;vertical-align:inherit;text-align:center;width:18px;height:26px">8</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">7</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">6</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">5</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">4</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">3</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">2</td></tr><tr style="vertical-align:middle"><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td><td style="padding:0;vertical-align:inherit;text-align:center;height:26px">1</td></tr><tr style="vertical-align:middle"><td style="vertical-align:inherit;padding:0"></td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">a</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">b</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">c</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">d</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">e</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">f</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">g</td><td style="padding:0;vertical-align:inherit;text-align:center;height:18px;width:26px">h</td><td style="vertical-align:inherit;padding:0"></td></tr></tbody></table><div class="thumbcaption"> White mates in one move! </div></div></div> <p><br /> Although most problems call for straightforward (though possibly difficult) solution, occasionally a problem will involve a humorous trick or twist. The problem at right, shown in Norwegian broadcaster <a href="/wiki/NRK" title="NRK">NRK</a>'s airings from the World Championships in Dubai 2021, calls for White to move and give immediate checkmate in just a single move. The trick is to recognize that despite the arrangement of the Black men, the board is actually viewed from the White side (as shown by the Black king standing on a square of its own color, rather than on the opposite color as in the standard opening position). Thus the solution is 1 Nd3#; the Black pawns are moving <i>down</i> the board and cannot capture the White knight. </p> <div class="mw-heading mw-heading2"><h2 id="Abbreviations">Abbreviations</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=7" title="Edit section: Abbreviations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For reasons of space and internationality, various abbreviations are often used in chess problem journals to indicate a problem's stipulation (whether it is a mate in two, helpmate in four, or whatever). The most common are: </p> <ul><li>"#" abbreviates <i>checkmate</i></li> <li>"=" abbreviates <i>stalemate</i> (occasionally "<i>p</i>", standing for "<i>pat</i>", the French for stalemate, is used instead)</li> <li>"h" abbreviates <i>helpmate</i></li> <li>"s" abbreviates <i>selfmate</i></li> <li>"r" abbreviates <i>reflexmate</i></li> <li>"ser-" abbreviates <i>series</i></li></ul> <p>These are combined with a number to indicate in how many moves the goal must be achieved. "#3", therefore, indicates a mate in three, while "ser-h=14" indicates a series help stalemate in 14 (i.e., Black makes 14 moves in a row such that White can subsequently make one move to deliver stalemate). </p><p>In studies, the symbols "+" and "=" are used to indicate "White to play and win" and "White to play and draw" respectively. </p> <div class="mw-heading mw-heading2"><h2 id="Tournaments">Tournaments</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=8" title="Edit section: Tournaments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Various tournaments (or <i>tourneys</i>) exist for both the composition and solving of chess problems. </p> <div class="mw-heading mw-heading3"><h3 id="Composition_tournaments">Composition tournaments</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=9" title="Edit section: Composition tournaments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Composition tourneys may be <em>formal</em> or <em>informal</em>. In formal tourneys, the competing problems are not published before they are judged, while in informal tourneys they are. Informal tourneys are often run by problem magazines and other publications with a regular problem section; it is common for every problem to have been published in a particular magazine within a particular year to be eligible for an informal award. Formal tourneys are often held to commemorate a particular event or person. The <a href="/w/index.php?title=World_Chess_Composing_Tournament&action=edit&redlink=1" class="new" title="World Chess Composing Tournament (page does not exist)">World Chess Composing Tournament</a> (WCCT) is a formal tourney for national teams organised by the <a href="/wiki/Permanent_Commission_of_the_FIDE_for_Chess_Compositions" class="mw-redirect" title="Permanent Commission of the FIDE for Chess Compositions">Permanent Commission of the FIDE for Chess Compositions</a> (PCCC). </p><p>In both formal and informal tourneys, entries will normally be limited to a particular genre of problem (for example, mate in twos, moremovers, helpmates) and may or may not have additional restrictions (for example, problems in <a href="/wiki/Patrol_chess" title="Patrol chess">patrol chess</a>, problems showing the <a href="/wiki/Lacny" title="Lacny">Lacny</a> theme, problems using fewer than nine units). Honours are usually awarded in three grades: these are, in descending order of merit, prizes, honourable mentions, and commendations. As many problems as the judge sees fit may be placed in each grade, and the problems within each grade may or may not be ranked (so an award may include a 1st Honourable Mention, a 2nd Honourable Mention, and a 3rd Honourable Mention, or just three unranked Honourable Mentions). </p><p>After an award is published, there is a period (typically around three months) in which individuals may claim honoured problems are <i>anticipated</i> (that is, that an identical problem, or nearly so, had been published at an earlier date) or unsound (i.e., that a problem has cooks or no solution). If such claims are upheld, the award may be adjusted accordingly. At the end of this period, the award becomes final. It is normal to indicate any honour a problem has received when it is republished. </p> <div class="mw-heading mw-heading3"><h3 id="Solving_tournaments">Solving tournaments</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=10" title="Edit section: Solving tournaments"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Solving tournaments also fall into two main types. In tourneys conducted by correspondence, the participants send their entries by post or e-mail. These are often run on similar terms to informal composition tourneys; indeed, the same problems which are entries in the informal composition tourney are often also set in the solving tourney. It is impossible to eliminate the use of computers in such tournaments, though some problems, such as those with particularly long solutions, will not be well-suited to solution by computer. </p><p>Other solving tourneys are held with all participants present at a particular time and place. They have only a limited amount of time to solve the problems, and the use of any solving aid other than a chess set is prohibited. The most notable tournament of this type is the <a href="/wiki/World_Chess_Solving_Championship" title="World Chess Solving Championship">World Chess Solving Championship</a>, organised by the PCCC. </p><p>In both types of tourney, each problem is worth a specified number of points, often with bonus points for finding cooks or correctly claiming no solution. Incomplete solutions are awarded an appropriate proportion of the points available. The solver amassing the most points is the winner. </p> <div class="mw-heading mw-heading2"><h2 id="Titles">Titles</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=11" title="Edit section: Titles"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Just as in over-the-board play, the titles <a href="/wiki/Grandmaster_(chess)" title="Grandmaster (chess)">Grandmaster</a>, <a href="/wiki/FIDE_Titles" class="mw-redirect" title="FIDE Titles">International Master</a> and <a href="/wiki/FIDE_Titles" class="mw-redirect" title="FIDE Titles">FIDE Master</a> are awarded by FIDE via the <a href="/wiki/Permanent_Commission_of_the_FIDE_for_Chess_Compositions" class="mw-redirect" title="Permanent Commission of the FIDE for Chess Compositions">Permanent Commission of the FIDE for Chess Compositions</a> (PCCC) for especially distinguished problem and study composers and solvers (unlike over-the-board chess, however, there have not been any women-only equivalents to these titles in problem chess). </p><p>For composition, the International Master title was established in 1959, with <a href="/wiki/Andr%C3%A9_Ch%C3%A9ron" title="André Chéron">André Chéron</a>, <a href="/w/index.php?title=Arnoldo_Ellerman&action=edit&redlink=1" class="new" title="Arnoldo Ellerman (page does not exist)">Arnoldo Ellerman</a>, <a href="/w/index.php?title=Alexander_Gerbstmann&action=edit&redlink=1" class="new" title="Alexander Gerbstmann (page does not exist)">Alexander Gerbstmann</a>, <a href="/w/index.php?title=Jan_Hartong&action=edit&redlink=1" class="new" title="Jan Hartong (page does not exist)">Jan Hartong</a>, <a href="/w/index.php?title=Cyril_Kipping&action=edit&redlink=1" class="new" title="Cyril Kipping (page does not exist)">Cyril Kipping</a> and <a href="/wiki/Marian_Wr%C3%B3bel" title="Marian Wróbel">Marian Wróbel</a> being the first honorary recipients. In subsequent years, qualification for the IM title, as well as for the GM title (first awarded in 1972 to <a href="/wiki/Genrikh_Gasparyan" class="mw-redirect" title="Genrikh Gasparyan">Genrikh Kasparyan</a>, <a href="/w/index.php?title=Lev_Loshinsky&action=edit&redlink=1" class="new" title="Lev Loshinsky (page does not exist)">Lev Loshinsky</a>, <a href="/wiki/Comins_Mansfield" title="Comins Mansfield">Comins Mansfield</a>, and <a href="/w/index.php?title=Eeltje_Visserman&action=edit&redlink=1" class="new" title="Eeltje Visserman (page does not exist)">Eeltje Visserman</a>) and the FM title (first awarded 1990) has been determined on the basis of the number of problems or studies a composer had selected for publication in the <a href="/wiki/FIDE_Album" title="FIDE Album">FIDE Albums</a>. These albums are collections of the best problems and studies composed in a particular three-year period, as selected by FIDE-appointed judges from submitted entries. Each problem published in an album is worth 1 point; each study is worth 1⅔; joint compositions are worth the same divided by the number of composers. For the FIDE Master title, a composer must accumulate 12 points; for the International Master title, 25 points are needed; and for the Grandmaster title, a composer must have 70 points. </p><p>For solvers, the GM and IM titles were both first awarded in 1982; the FM title followed in 1997. GM and IM titles can only be gained by participating in the official World Chess Solving Championship (WCSC): to become a GM, a solver must score at least 90 percent of the winner's points and on each occasion finish in at least tenth place three times within ten successive WCSCs. For the IM title they must score at least 80 percent of the winner's points and each time finish in at least fifteenth place twice within five successive WCSCs; alternatively, winning a single WCSC or scoring as many points as the winner in a single WCSC will earn the IM title. For the FM title, the solver must score at least 75 percent of the winners points and each time finish within the top 40 percent of participants in any two PCCC-approved solving competitions. </p><p>The title <a href="/wiki/International_Judge_of_Chess_Compositions" title="International Judge of Chess Compositions">International Judge of Chess Compositions</a> is given to individuals considered capable of judging composing tourneys at the highest level. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=12" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Chess_composer" title="Chess composer">Chess composer</a></li> <li><a href="/wiki/Chess_aesthetics" title="Chess aesthetics">Chess aesthetics</a></li> <li><a href="/wiki/Software_for_handling_chess_problems" title="Software for handling chess problems">Software for handling chess problems</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=13" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-oz-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-oz_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-oz_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.ozproblems.com/home">"OzProblems - Australian chess problem composition"</a>. <i>www.ozproblems.com</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.ozproblems.com&rft.atitle=OzProblems+-+Australian+chess+problem+composition&rft_id=http%3A%2F%2Fwww.ozproblems.com%2Fhome&rfr_id=info%3Asid%2Fen.wikipedia.org%3AChess+problem" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNeweklowsky2001" class="citation web cs1">Neweklowsky, Lutz (2001) [2000]. <a href="/wiki/Ken_Thompson" title="Ken Thompson">Thompson, K.</a>; Karrer, P.; Formánek, Bedrich (eds.). <a rel="nofollow" class="external text" href="http://www.kotesovec.cz/neweklow.htm">"267 moves – Lutz Neweklowsky 2001"</a>. <i>kotesovec.cz</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=kotesovec.cz&rft.atitle=267+moves+%E2%80%93+Lutz+Neweklowsky+2001&rft.date=2001&rft.aulast=Neweklowsky&rft.aufirst=Lutz&rft_id=http%3A%2F%2Fwww.kotesovec.cz%2Fneweklow.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3AChess+problem" class="Z3988"></span> – longest <a href="/wiki/Grotesque_(chess)#Moremover" title="Grotesque (chess)">moremover</a> without obtrusive units</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSmullyan,_R.1994" class="citation book cs1">Smullyan, R. (1994). <i>Chess Mysteries of Sherlock Holmes: Fifty tantalizing problems of chess detection</i>. Puzzles & Games. Random House. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8129-2389-6" title="Special:BookSources/978-0-8129-2389-6"><bdi>978-0-8129-2389-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Chess+Mysteries+of+Sherlock+Holmes%3A+Fifty+tantalizing+problems+of+chess+detection&rft.series=Puzzles+%26+Games&rft.pub=Random+House&rft.date=1994&rft.isbn=978-0-8129-2389-6&rft.au=Smullyan%2C+R.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AChess+problem" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Iqbal, A. (2008). Evaluation of Economy in a Zero-sum Perfect Information Game, The Computer Journal, Oxford University Press, Vol. 51, No. 4, pp. 408–418, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1093%2Fcomjnl%2Fbxm060">10.1093/comjnl/bxm060</a>. Online ISSN 1460-2067, Print ISSN 0010-4620. <a rel="nofollow" class="external free" href="http://comjnl.oxfordjournals.org/content/51/4/408.abstract">http://comjnl.oxfordjournals.org/content/51/4/408.abstract</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160608122007/http://comjnl.oxfordjournals.org/content/51/4/408.abstract">Archived</a> 2016-06-08 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Chess_problem&action=edit&section=14" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Stephen_Addison&action=edit&redlink=1" class="new" title="Stephen Addison (page does not exist)">Addison, Stephen</a> (1989), <i>Book of Extraordinary Chess Problems</i>, Crowood. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1-85223-240-4" title="Special:BookSources/1-85223-240-4">1-85223-240-4</a>. An encyclopedia of unorthodox and 'chess <a href="/wiki/Lateral_thinking" title="Lateral thinking">lateral thinking</a>' problems.</li> <li><a href="/wiki/Stephen_L._Carter" title="Stephen L. Carter">Stephen L. Carter</a>, <i><a href="/wiki/The_Emperor_of_Ocean_Park" title="The Emperor of Ocean Park">The Emperor of Ocean Park</a></i>. Chess and Chess Problems in fiction.</li> <li><a href="/w/index.php?title=Andrei_Frolkin&action=edit&redlink=1" class="new" title="Andrei Frolkin (page does not exist)">Frolkin, Andrei</a> and <a href="/w/index.php?title=Gerd_Wilts&action=edit&redlink=1" class="new" title="Gerd Wilts (page does not exist)">Wilts, Gerd</a> (1991), <i>Shortest Proof Games</i>. A collection of 170 proof games (published in Germany, but written in English).</li> <li><a href="/w/index.php?title=Kenneth_S._Howard&action=edit&redlink=1" class="new" title="Kenneth S. Howard (page does not exist)">Howard, Kenneth S.</a> (1961), <i>How To Solve Chess Problems</i>, Dover Publications. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-20748-X" title="Special:BookSources/0-486-20748-X">0-486-20748-X</a>. A preliminary section of 30 pages is a useful introduction for novice solvers; there follow 112 problems with discussion.</li> <li><a href="/wiki/Michael_Lipton" title="Michael Lipton">Lipton, Michael</a>, <a href="/wiki/Robin_Matthews_(economist)" title="Robin Matthews (economist)">Matthews, R. C. O.</a> and <a href="/w/index.php?title=John_M._Rice_(chess_composer)&action=edit&redlink=1" class="new" title="John M. Rice (chess composer) (page does not exist)">Rice, John</a> (1963), <i>Chess Problems: Introduction to an Art</i>, Faber.</li> <li><a href="/wiki/Jeremy_Morse" title="Jeremy Morse">Morse, Jeremy</a> (1995; revised edition, 2001), <i>Chess Problems: Tasks and Records</i>, Faber and Faber. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-571-15363-1" title="Special:BookSources/0-571-15363-1">0-571-15363-1</a>. Concentrates on maximum tasks and records.</li> <li><a href="/wiki/John_Nunn" title="John Nunn">Nunn, John</a> (1985), <i>Solving in Style</i>, Gambit Publications. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1-901983-66-8" title="Special:BookSources/1-901983-66-8">1-901983-66-8</a>. Problems seen from the point of view of the solver.</li> <li><a href="/w/index.php?title=John_M._Rice_(chess_composer)&action=edit&redlink=1" class="new" title="John M. Rice (chess composer) (page does not exist)">Rice, John</a> (1996), <i>Chess Wizardry: The New ABC of Chess Problems</i>, Batsford / International Chess Enterprises. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1-879479-33-8" title="Special:BookSources/1-879479-33-8">1-879479-33-8</a>. A general overview of chess problems, including an extensive A–Z of themes and terms, and 460 problems. Widely regarded as the best single-volume work in English on the subject.</li> <li><a href="/wiki/Milan_Velimirovic" class="mw-redirect" title="Milan Velimirovic">Velimirovic, Milan</a> and <a href="/wiki/Kari_Valtonen" title="Kari Valtonen">Valtonen, Kari</a> (2012), <i>The definitive book - Encyclopedia of Chess Problems: Themes and Terms</i>, Chess Informant. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-86-7297-064-7" title="Special:BookSources/978-86-7297-064-7">978-86-7297-064-7</a>. An extensive overview A–Z of themes and terms with 1726 problems.</li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output 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href="/wiki/Template_talk:Chess" title="Template talk:Chess"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Chess" title="Special:EditPage/Template:Chess"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Chess" style="font-size:114%;margin:0 4em"><a href="/wiki/Chess" title="Chess">Chess</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Outline_of_chess" title="Outline of chess">Outline</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chess_theory" title="Chess theory">Chess theory</a></li> <li><a href="/wiki/Chess_title" title="Chess title">Chess titles</a> <ul><li><a href="/wiki/Grandmaster_(chess)" title="Grandmaster (chess)">Grandmaster</a></li></ul></li> <li><a href="/wiki/Computer_chess" title="Computer chess">Computer chess</a> <ul><li><a href="/wiki/Glossary_of_computer_chess_terms" title="Glossary of computer chess terms">glossary</a></li> <li><a href="/wiki/Human%E2%80%93computer_chess_matches" title="Human–computer chess matches">matches</a></li> <li><a href="/wiki/Chess_engine" title="Chess engine">engines</a></li> <li><a href="/wiki/List_of_chess_software" title="List of chess software">software</a></li></ul></li> <li><a href="/wiki/Correspondence_chess" title="Correspondence chess">Correspondence chess</a></li> <li><a href="/wiki/FIDE" title="FIDE">FIDE</a></li> <li><a href="/wiki/Glossary_of_chess" title="Glossary of chess">Glossary</a></li> <li><a href="/wiki/Online_chess" title="Online chess">Online chess</a> <ul><li><a href="/wiki/Premove" title="Premove">Premove</a></li> <li><a href="/wiki/Internet_chess_server" title="Internet chess server">Internet chess server</a> <ul><li><a href="/wiki/List_of_Internet_chess_servers" title="List of Internet chess servers">list</a></li></ul></li></ul></li> <li><a href="/wiki/Chess_rating_system" title="Chess rating system">Rating system</a> <ul><li><a href="/wiki/FIDE_world_rankings" class="mw-redirect" title="FIDE world rankings">world rankings</a></li> <li><a href="/wiki/Norm_(chess)" title="Norm (chess)">norms</a></li></ul></li> <li><a href="/wiki/Chess_variant" title="Chess variant">Variants</a> <ul><li><a href="/wiki/List_of_chess_variants" title="List of chess variants">List</a></li></ul></li> <li><a href="/wiki/List_of_world_records_in_chess" title="List of world records in chess">World records</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_equipment" title="Chess equipment">Equipment</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chess_set" title="Chess set">Chess set</a> <ul><li><a href="/wiki/Chessboard" title="Chessboard">chessboard</a></li> <li><a href="/wiki/Dubrovnik_chess_set" title="Dubrovnik chess set">Dubrovnik chess set</a></li> <li><a href="/wiki/Staunton_chess_set" title="Staunton chess set">Staunton chess set</a></li></ul></li> <li><a href="/wiki/Chess_piece" title="Chess piece">Chess pieces</a> <ul><li><a href="/wiki/King_(chess)" title="King (chess)">King</a></li> <li><a href="/wiki/Queen_(chess)" title="Queen (chess)">Queen</a></li> <li><a href="/wiki/Rook_(chess)" title="Rook (chess)">Rook</a></li> <li><a href="/wiki/Bishop_(chess)" title="Bishop (chess)">Bishop</a></li> <li><a href="/wiki/Knight_(chess)" title="Knight (chess)">Knight</a></li> <li><a href="/wiki/Pawn_(chess)" title="Pawn (chess)">Pawn</a></li> <li><a href="/wiki/Fairy_chess_piece" title="Fairy chess piece">Fairy</a></li></ul></li> <li><a href="/wiki/Chess_clock" title="Chess clock">Chess clock</a></li> <li><a href="/wiki/Chess_table" title="Chess table">Chess table</a></li> <li><dfn><a href="/wiki/Glossary_of_chess#score_sheets" title="Glossary of chess"><span title="See entry at: Glossary of chess § Score sheets" style="color:inherit;" class="glossary-link">Score sheets</span></a></dfn></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_chess" title="History of chess">History</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Timeline_of_chess" title="Timeline of chess">Timeline</a> <ul><li><i><a href="/wiki/Versus_de_scachis" title="Versus de scachis">Versus de scachis</a></i></li> <li><i><a href="/wiki/G%C3%B6ttingen_manuscript" title="Göttingen manuscript">Göttingen manuscript</a></i></li> <li><a href="/wiki/Charlemagne_chessmen" title="Charlemagne chessmen">Charlemagne chessmen</a></li> <li><a href="/wiki/Lewis_chessmen" title="Lewis chessmen">Lewis chessmen</a></li> <li><a href="/wiki/Romantic_chess" title="Romantic chess">Romantic chess</a></li> <li><a href="/wiki/Hypermodernism_(chess)" title="Hypermodernism (chess)">Hypermodernism</a></li> <li><a href="/wiki/Soviet_chess_school" title="Soviet chess school">Soviet chess school</a></li> <li><a href="/wiki/Comparison_of_top_chess_players_throughout_history" title="Comparison of top chess players throughout history">Top player comparison</a></li></ul></li> <li><a href="/wiki/Geography_of_chess" title="Geography of chess">Geography of chess</a> <ul><li><a href="/wiki/Chess_in_Africa" title="Chess in Africa">Africa</a> <ul><li><a href="/wiki/Chess_in_South_Africa" title="Chess in South Africa">South Africa</a></li></ul></li> <li><a href="/wiki/Chess_in_China" title="Chess in China">China</a></li> <li><a href="/wiki/Chess_in_Europe" title="Chess in Europe">Europe</a> <ul><li><a href="/wiki/Chess_in_Armenia" title="Chess in Armenia">Armenia</a></li> <li><a href="/wiki/Chess_in_Spain" title="Chess in Spain">Spain</a></li></ul></li> <li><a href="/wiki/Chess_in_India" title="Chess in India">India</a></li></ul></li> <li><a href="/wiki/List_of_chess_games" title="List of chess games">Notable games</a></li> <li><a href="/wiki/List_of_chess_players" title="List of chess players">List of chess players</a> <ul><li><a href="/wiki/List_of_amateur_chess_players" title="List of amateur chess players">amateurs</a></li> <li><a href="/wiki/List_of_female_chess_players" title="List of female chess players">female</a></li> <li><a href="/wiki/List_of_chess_grandmasters" title="List of chess grandmasters">grandmasters</a></li></ul></li> <li><a href="/wiki/Women_in_chess" title="Women in chess">Women in chess</a></li> <li><a href="/wiki/Category:Chess_museums" title="Category:Chess museums">Chess museums</a> <ul><li><a href="/wiki/Bobby_Fischer_Center" title="Bobby Fischer Center">Bobby Fischer Center</a></li> <li><a href="/wiki/G%C3%B6kyay_Association_Chess_Museum" title="Gökyay Association Chess Museum">Gökyay Association Chess Museum</a></li> <li><a href="/wiki/World_Chess_Hall_of_Fame" title="World Chess Hall of Fame">World Chess Hall of Fame</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Rules_of_chess" title="Rules of chess">Rules</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Castling" title="Castling">Castling</a></li> <li><a href="/wiki/Cheating_in_chess" title="Cheating in chess">Cheating in chess</a></li> <li><a href="/wiki/Check_(chess)" title="Check (chess)">Check</a></li> <li><a href="/wiki/Checkmate" title="Checkmate">Checkmate</a></li> <li><a href="/wiki/Draw_(chess)" title="Draw (chess)">Draw</a> <ul><li><a href="/wiki/Draw_by_agreement" title="Draw by agreement">by agreement</a></li> <li><a href="/wiki/Fifty-move_rule" title="Fifty-move rule">Fifty-move rule</a></li> <li><a href="/wiki/Perpetual_check" title="Perpetual check">Perpetual check</a></li> <li><a href="/wiki/Stalemate" title="Stalemate">Stalemate</a></li> <li><a href="/wiki/Threefold_repetition" title="Threefold repetition">Threefold repetition</a></li></ul></li> <li><i><a href="/wiki/En_passant" title="En passant">En passant</a></i></li> <li><a href="/wiki/Promotion_(chess)" title="Promotion (chess)">Pawn promotion</a></li> <li><a href="/wiki/Time_control" title="Time control">Time control</a> <ul><li><a href="/wiki/Fast_chess" title="Fast chess">Fast chess</a></li></ul></li> <li><a href="/wiki/Touch-move_rule" title="Touch-move rule">Touch-move rule</a></li> <li><a href="/wiki/White_and_Black_in_chess" title="White and Black in chess">White and Black</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Glossary_of_chess" title="Glossary of chess">Terms</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Blunder_(chess)" title="Blunder (chess)">Blunder</a></li> <li><a href="/wiki/Chess_notation" title="Chess notation">Chess notation</a> <ul><li><a href="/wiki/Algebraic_notation_(chess)" title="Algebraic notation (chess)">algebraic</a></li> <li><a href="/wiki/Descriptive_notation" title="Descriptive notation">descriptive</a></li> <li><a href="/wiki/Portable_Game_Notation" title="Portable Game Notation">PGN</a></li> <li><a href="/wiki/Chess_annotation_symbols" title="Chess annotation symbols">annotation symbols</a></li> <li><a href="/wiki/Chess_symbols_in_Unicode" title="Chess symbols in Unicode">symbols in Unicode</a></li></ul></li> <li><a href="/wiki/Fianchetto" title="Fianchetto">Fianchetto</a></li> <li><a href="/wiki/Gambit" title="Gambit">Gambit</a></li> <li><a href="/wiki/Key_square" title="Key square">Key square</a></li> <li><a href="/wiki/King_walk" title="King walk">King walk</a></li> <li><a href="/wiki/Open_file" title="Open file">Open file</a> <ul><li><a href="/wiki/Half-open_file" title="Half-open file">Half-open file</a></li></ul></li> <li><a href="/wiki/Outpost_(chess)" title="Outpost (chess)">Outpost</a></li> <li><a href="/wiki/Pawn_(chess)" title="Pawn (chess)">Pawns</a> <ul><li><a href="/wiki/Backward_pawn" title="Backward pawn">backward</a></li> <li><a href="/wiki/Connected_pawns" title="Connected pawns">connected</a></li> <li><a href="/wiki/Doubled_pawns" title="Doubled pawns">doubled</a></li> <li><a href="/wiki/Isolated_pawn" title="Isolated pawn">isolated</a></li> <li><a href="/wiki/Passed_pawn" title="Passed pawn">passed</a></li></ul></li> <li><a href="/wiki/Swindle_(chess)" title="Swindle (chess)">Swindle</a></li> <li><a href="/wiki/Tempo_(chess)" title="Tempo (chess)">Tempo</a></li> <li><a href="/wiki/Transposition_(chess)" title="Transposition (chess)">Transposition</a></li> <li><a href="/wiki/List_of_chess_traps" title="List of chess traps">Trap</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_tactic" title="Chess tactic">Tactics</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Castling#Artificial_castling" title="Castling">Artificial castling</a></li> <li><a href="/wiki/Battery_(chess)" title="Battery (chess)">Battery</a> <ul><li><a href="/wiki/Alekhine%27s_gun" title="Alekhine's gun">Alekhine's gun</a></li></ul></li> <li><a href="/wiki/Block_(chess)" title="Block (chess)">Block</a></li> <li><a href="/wiki/Checkmate_pattern" title="Checkmate pattern">Checkmate patterns</a></li> <li><a href="/wiki/Combination_(chess)" title="Combination (chess)">Combination</a></li> <li><a href="/wiki/Decoy_(chess)" title="Decoy (chess)">Decoy</a></li> <li><a href="/wiki/Deflection_(chess)" title="Deflection (chess)">Deflection</a></li> <li><a href="/wiki/Desperado_(chess)" title="Desperado (chess)">Desperado</a></li> <li><a href="/wiki/Discovered_attack" title="Discovered attack">Discovered attack</a></li> <li><a href="/wiki/Double_check" title="Double check">Double check</a></li> <li><a href="/wiki/Fork_(chess)" title="Fork (chess)">Fork</a></li> <li><a href="/wiki/Interference_(chess)" title="Interference (chess)">Interference</a></li> <li><a href="/wiki/Overloading_(chess)" title="Overloading (chess)">Overloading</a></li> <li><a href="/wiki/Pawn_storm" title="Pawn storm">Pawn storm</a></li> <li><a href="/wiki/Pin_(chess)" title="Pin (chess)">Pin</a></li> <li><a href="/wiki/Sacrifice_(chess)" title="Sacrifice (chess)">Sacrifice</a> <ul><li><a href="/wiki/Queen_sacrifice" title="Queen sacrifice">Queen sacrifice</a></li></ul></li> <li><a href="/wiki/Skewer_(chess)" title="Skewer (chess)">Skewer</a></li> <li><a href="/wiki/Undermining_(chess)" title="Undermining (chess)">Undermining</a></li> <li><a href="/wiki/Windmill_(chess)" title="Windmill (chess)">Windmill</a></li> <li><a href="/wiki/X-ray_(chess)" title="X-ray (chess)">X-ray</a></li> <li><a href="/wiki/Zwischenzug" title="Zwischenzug">Zwischenzug</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_strategy" title="Chess strategy">Strategy</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Compensation_(chess)" title="Compensation (chess)">Compensation</a></li> <li><a href="/wiki/Exchange_(chess)" title="Exchange (chess)">Exchange</a> <ul><li><a href="/wiki/The_exchange_(chess)" title="The exchange (chess)">the exchange</a></li></ul></li> <li><a href="/wiki/Initiative_(chess)" title="Initiative (chess)">Initiative</a> <ul><li><a href="/wiki/First-move_advantage_in_chess" title="First-move advantage in chess">first-move advantage</a></li></ul></li> <li><a href="/wiki/Chess_middlegame" title="Chess middlegame">Middlegame</a></li> <li><a href="/wiki/Pawn_structure" title="Pawn structure">Pawn structure</a> <ul><li><a href="/wiki/Hedgehog_(chess)" title="Hedgehog (chess)">Hedgehog</a></li> <li><a href="/wiki/Isolated_pawn" title="Isolated pawn">Isolated Queen's Pawn</a></li> <li><a href="/wiki/Mar%C3%B3czy_Bind" title="Maróczy Bind">Maróczy Bind</a></li> <li><a href="/wiki/Minority_attack" title="Minority attack">Minority attack</a></li></ul></li> <li><a href="/wiki/Chess_piece_relative_value" title="Chess piece relative value">Piece values</a></li> <li><a href="/wiki/Prophylaxis_(chess)" title="Prophylaxis (chess)">Prophylaxis</a></li> <li><a href="/wiki/School_of_chess" title="School of chess">School of chess</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_opening" title="Chess opening">Openings</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Flank_opening" title="Flank opening">Flank opening</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/King%27s_Fianchetto_Opening" title="King's Fianchetto Opening">Benko Opening</a></li> <li><a href="/wiki/Bird%27s_Opening" title="Bird's Opening">Bird's Opening</a></li> <li><a href="/wiki/Dunst_Opening" title="Dunst Opening">Dunst Opening</a></li> <li><a href="/wiki/English_Opening" title="English Opening">English Opening</a></li> <li><a href="/wiki/Grob%27s_Attack" title="Grob's Attack">Grob's Attack</a></li> <li><a href="/wiki/Larsen%27s_Opening" class="mw-redirect" title="Larsen's Opening">Larsen's Opening</a></li> <li><a href="/wiki/Zukertort_Opening" title="Zukertort Opening">Zukertort Opening</a> <ul><li><a href="/wiki/King%27s_Indian_Attack" title="King's Indian Attack">King's Indian Attack</a></li> <li><a href="/wiki/R%C3%A9ti_Opening" title="Réti Opening">Réti Opening</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/King%27s_Pawn_Game" title="King's Pawn Game">King's Pawn Game</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alekhine%27s_Defence" title="Alekhine's Defence">Alekhine's Defence</a></li> <li><a href="/wiki/Caro%E2%80%93Kann_Defence" title="Caro–Kann Defence">Caro–Kann Defence</a></li> <li><a href="/wiki/French_Defence" title="French Defence">French Defence</a></li> <li><a href="/wiki/Modern_Defense" title="Modern Defense">Modern Defence</a></li> <li><a href="/wiki/Nimzowitsch_Defence" title="Nimzowitsch Defence">Nimzowitsch Defence</a></li> <li><a href="/wiki/Open_Game" title="Open Game">Open Game</a> <ul><li><a href="/wiki/Four_Knights_Game" title="Four Knights Game">Four Knights Game</a></li> <li><a href="/wiki/Giuoco_Piano" title="Giuoco Piano">Giuoco Piano</a></li> <li><a href="/wiki/Italian_Game" title="Italian Game">Italian Game</a></li> <li><a href="/wiki/King%27s_Gambit" title="King's Gambit">King's Gambit</a></li> <li><a href="/wiki/Petrov%27s_Defence" title="Petrov's Defence">Petrov's Defence</a></li> <li><a href="/wiki/Philidor_Defence" title="Philidor Defence">Philidor Defence</a></li> <li><a href="/wiki/Ponziani_Opening" title="Ponziani Opening">Ponziani Opening</a></li> <li><a href="/wiki/Ruy_Lopez" title="Ruy Lopez">Ruy Lopez</a></li> <li><a href="/wiki/Semi-Italian_Opening" title="Semi-Italian Opening">Semi-Italian Opening</a></li> <li><a href="/wiki/Scotch_Game" title="Scotch Game">Scotch Game</a></li> <li><a href="/wiki/Two_Knights_Defense" title="Two Knights Defense">Two Knights Defense</a></li> <li><a href="/wiki/Vienna_Game" title="Vienna Game">Vienna Game</a></li></ul></li> <li><a href="/wiki/Owen%27s_Defence" title="Owen's Defence">Owen's Defence</a></li> <li><a href="/wiki/Pirc_Defence" title="Pirc Defence">Pirc Defence</a> <ul><li><a href="/wiki/Pirc_Defence,_Austrian_Attack" title="Pirc Defence, Austrian Attack">Austrian Attack</a></li></ul></li> <li><a href="/wiki/Scandinavian_Defense" title="Scandinavian Defense">Scandinavian Defense</a></li> <li><a href="/wiki/Sicilian_Defence" title="Sicilian Defence">Sicilian Defence</a> <ul><li><a href="/wiki/Sicilian_Defence,_Alapin_Variation" title="Sicilian Defence, Alapin Variation">Alapin</a></li> <li><a href="/wiki/Sicilian_Defence,_Dragon_Variation" title="Sicilian Defence, Dragon Variation">Dragon</a>/<a href="/wiki/Sicilian_Defence,_Accelerated_Dragon" title="Sicilian Defence, Accelerated Dragon">Accelerated Dragon</a></li> <li><a href="/wiki/Sicilian_Defence,_Najdorf_Variation" title="Sicilian Defence, Najdorf Variation">Najdorf</a></li> <li><a href="/wiki/Sicilian_Defence,_Scheveningen_Variation" title="Sicilian Defence, Scheveningen Variation">Scheveningen</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Queen%27s_Pawn_Game" title="Queen's Pawn Game">Queen's Pawn Game</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Budapest_Gambit" title="Budapest Gambit">Budapest Gambit</a></li> <li><a href="/wiki/Colle_System" title="Colle System">Colle System</a></li> <li><a href="/wiki/Dutch_Defence" title="Dutch Defence">Dutch Defence</a></li> <li><a href="/wiki/English_Defence" title="English Defence">English Defence</a></li> <li><a href="/wiki/Indian_Defence" title="Indian Defence">Indian Defence</a> <ul><li><a href="/wiki/Benoni_Defense" title="Benoni Defense">Benoni Defence</a></li> <li><a href="/wiki/Modern_Benoni" title="Modern Benoni">Modern Benoni</a></li> <li><a href="/wiki/Bogo-Indian_Defence" title="Bogo-Indian Defence">Bogo-Indian Defence</a></li> <li><a href="/wiki/Catalan_Opening" title="Catalan Opening">Catalan Opening</a></li> <li><a href="/wiki/Gr%C3%BCnfeld_Defence" title="Grünfeld Defence">Grünfeld Defence</a></li> <li><a href="/wiki/King%27s_Indian_Defence" title="King's Indian Defence">King's Indian Defence</a></li> <li><a href="/wiki/Nimzo-Indian_Defence" title="Nimzo-Indian Defence">Nimzo-Indian Defence</a></li> <li><a href="/wiki/Old_Indian_Defense" title="Old Indian Defense">Old Indian Defense</a></li> <li><a href="/wiki/Queen%27s_Indian_Defense" title="Queen's Indian Defense">Queen's Indian Defence</a></li></ul></li> <li><a href="/wiki/London_System" title="London System">London System</a></li> <li><a href="/wiki/Richter%E2%80%93Veresov_Attack" title="Richter–Veresov Attack">Richter–Veresov Attack</a></li> <li><a href="/wiki/Queen%27s_Gambit" title="Queen's Gambit">Queen's Gambit</a> <ul><li><a href="/wiki/Queen%27s_Gambit_Accepted" title="Queen's Gambit Accepted">Accepted</a></li> <li><a href="/wiki/Queen%27s_Gambit_Declined" title="Queen's Gambit Declined">Declined</a></li> <li><a href="/wiki/Slav_Defense" title="Slav Defense">Slav Defence</a></li> <li><a href="/wiki/Semi-Slav_Defense" title="Semi-Slav Defense">Semi-Slav Defence</a></li> <li><a href="/wiki/Chigorin_Defense" title="Chigorin Defense">Chigorin Defense</a></li></ul></li> <li><a href="/wiki/Torre_Attack" title="Torre Attack">Torre Attack</a></li> <li><a href="/wiki/Trompowsky_Attack" title="Trompowsky Attack">Trompowsky Attack</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_chess_openings" title="List of chess openings">List of openings</a> <ul><li><a href="/wiki/Chess_opening_theory_table" title="Chess opening theory table">theory table</a></li></ul></li> <li><a href="/wiki/List_of_chess_gambits" title="List of chess gambits">List of chess gambits</a></li> <li><a href="/wiki/Irregular_chess_opening" title="Irregular chess opening">Irregular</a> <ul><li><a href="/wiki/Bongcloud_Attack" title="Bongcloud Attack">Bongcloud Attack</a></li> <li><a href="/wiki/Fool%27s_mate" title="Fool's mate">Fool's mate</a></li> <li><a href="/wiki/Scholar%27s_mate" title="Scholar's mate">Scholar's mate</a></li></ul></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_endgame" title="Chess endgame">Endgames</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bishop_and_knight_checkmate" title="Bishop and knight checkmate">Bishop and knight checkmate</a></li> <li><a href="/wiki/King_and_pawn_versus_king_endgame" title="King and pawn versus king endgame">King and pawn vs king</a></li> <li><a href="/wiki/Opposite-colored_bishops_endgame" title="Opposite-colored bishops endgame">Opposite-coloured bishops</a></li> <li><a href="/wiki/Pawnless_chess_endgame" title="Pawnless chess endgame">Pawnless endgame</a></li> <li><a href="/wiki/Queen_and_pawn_versus_queen_endgame" title="Queen and pawn versus queen endgame">Queen and pawn vs queen</a></li> <li><a href="/wiki/Queen_versus_pawn_endgame" title="Queen versus pawn endgame">Queen vs pawn</a></li> <li><a href="/wiki/Queen_versus_rook_endgame" title="Queen versus rook endgame">Queen vs rook</a></li> <li><a href="/wiki/Rook_and_bishop_versus_rook_endgame" title="Rook and bishop versus rook endgame">Rook and bishop vs rook</a></li> <li><a href="/wiki/Rook_and_pawn_versus_rook_endgame" title="Rook and pawn versus rook endgame">Rook and pawn vs rook</a> <ul><li><a href="/wiki/Lucena_position" title="Lucena position">Lucena position</a></li> <li><a href="/wiki/Philidor_position" title="Philidor position">Philidor position</a></li></ul></li> <li>Strategy <ul><li><a href="/wiki/Fortress_(chess)" title="Fortress (chess)">fortress</a></li> <li><a href="/wiki/Opposition_(chess)" title="Opposition (chess)">opposition</a></li> <li><a href="/wiki/Tarrasch_rule" title="Tarrasch rule">Tarrasch rule</a></li> <li><a href="/wiki/Triangulation_(chess)" title="Triangulation (chess)">triangulation</a></li> <li><a href="/wiki/Zugzwang" title="Zugzwang">Zugzwang</a></li></ul></li> <li><a href="/wiki/Endgame_study" title="Endgame study">Study</a></li> <li><a href="/wiki/Endgame_tablebase" title="Endgame tablebase">Tablebase</a></li> <li><a href="/wiki/Two_knights_endgame" title="Two knights endgame">Two knights endgame</a></li> <li><a href="/wiki/Wrong_bishop" title="Wrong bishop">Wrong bishop</a></li> <li><a href="/wiki/Wrong_rook_pawn" title="Wrong rook pawn">Wrong rook pawn</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chess_tournament" title="Chess tournament">Tournaments</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_strong_chess_tournaments" title="List of strong chess tournaments">List of strong chess tournaments</a></li> <li><a href="/wiki/Chess_Olympiad" title="Chess Olympiad">Chess Olympiad</a> <ul><li><a href="/wiki/Women%27s_Chess_Olympiad" title="Women's Chess Olympiad">Women</a></li></ul></li> <li><a href="/wiki/World_Chess_Championship" title="World Chess Championship">World Chess Championship</a> <ul><li><a href="/wiki/List_of_World_Chess_Championships" title="List of World Chess Championships">List</a></li> <li><a href="/wiki/Candidates_Tournament" title="Candidates Tournament">Candidates Tournament</a></li> <li><a href="/wiki/Chess_World_Cup" title="Chess World Cup">Chess World Cup</a></li> <li><a href="/wiki/FIDE_Grand_Prix" title="FIDE Grand Prix">FIDE Grand Prix</a></li></ul></li> <li>Other world championships <ul><li><a href="/wiki/Women%27s_World_Chess_Championship" title="Women's World Chess Championship">Women</a></li> <li><a href="/wiki/World_Team_Chess_Championship" title="World Team Chess Championship">Team</a></li> <li><a href="/wiki/World_Rapid_Chess_Championship" title="World Rapid Chess Championship">Rapid</a></li> <li><a href="/wiki/World_Blitz_Chess_Championship" title="World Blitz Chess Championship">Blitz</a></li> <li><a href="/wiki/World_Junior_Chess_Championship" title="World Junior Chess Championship">Junior</a></li> <li><a href="/wiki/World_Youth_Chess_Championship" title="World Youth Chess Championship">Youth</a></li> <li><a href="/wiki/World_Senior_Chess_Championship" title="World Senior Chess Championship">Senior</a></li> <li><a href="/wiki/World_Amateur_Chess_Championship" title="World Amateur Chess Championship">Amateur</a></li> <li><a href="/wiki/World_Championship_of_Chess_Composition" title="World Championship of Chess Composition">Chess composition</a></li> <li><a href="/wiki/World_Chess_Solving_Championship" title="World Chess Solving Championship">Solving</a></li></ul></li> <li>Computer chess championships <ul><li><a href="/wiki/Chess.com_Computer_Chess_Championship" class="mw-redirect" title="Chess.com Computer Chess Championship">CCC</a></li> <li><a href="/wiki/Dutch_Open_Computer_Chess_Championship" title="Dutch Open Computer Chess Championship">CSVN</a></li> <li><a href="/wiki/North_American_Computer_Chess_Championship" title="North American Computer Chess Championship">North American</a></li> <li><a href="/wiki/Top_Chess_Engine_Championship" title="Top Chess Engine Championship">TCEC</a></li> <li><a href="/wiki/World_Computer_Chess_Championship" title="World Computer Chess Championship">WCCC</a></li> <li><a href="/wiki/World_Computer_Speed_Chess_Championship" title="World Computer Speed Chess Championship">WCSCC</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Art and media</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ca%C3%AFssa" title="Caïssa">Caïssa</a></li> <li><a href="/wiki/Chess_aesthetics" title="Chess aesthetics">Chess aesthetics</a></li> <li><a href="/wiki/Chess_in_the_arts" title="Chess in the arts">Chess in the arts</a> <ul><li><a href="/wiki/Chess_in_early_literature" title="Chess in early literature">early literature</a></li> <li><a href="/wiki/Category:Films_about_chess" title="Category:Films about chess">film</a></li> <li><a href="/wiki/Category:Novels_about_chess" title="Category:Novels about chess">novels</a></li> <li><a href="/wiki/Category:Chess_paintings" title="Category:Chess paintings">paintings</a></li> <li><a href="/wiki/Category:Poems_about_chess" title="Category:Poems about chess">poetry</a></li> <li><a href="/wiki/Category:Short_stories_about_chess" title="Category:Short stories about chess">short stories</a></li></ul></li> <li><a href="/wiki/List_of_chess_books" title="List of chess books">Chess books</a> <ul><li><a href="/wiki/Chess_opening_book" title="Chess opening book">opening books</a></li> <li><a href="/wiki/Chess_endgame_literature" title="Chess endgame literature">endgame literature</a></li> <li><a href="/wiki/The_Oxford_Companion_to_Chess" title="The Oxford Companion to Chess"><i>Oxford Companion</i></a></li></ul></li> <li><a href="/wiki/Chess_libraries" title="Chess libraries">Chess libraries</a></li> <li><a href="/wiki/Chess_columns_in_newspapers" title="Chess columns in newspapers">Chess newspaper columns</a></li> <li><a href="/wiki/List_of_chess_periodicals" title="List of chess periodicals">Chess periodicals</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arbiter_(chess)" title="Arbiter (chess)">Arbiter</a></li> <li><a href="/wiki/Chess_boxing" title="Chess boxing">Chess boxing</a></li> <li><a href="/wiki/Chess_club" title="Chess club">Chess club</a></li> <li><a href="/wiki/Chess_composer" title="Chess composer">Chess composer</a></li> <li><a href="/wiki/Chess_engine" title="Chess engine">Chess engine</a> <ul><li><a href="/wiki/AlphaZero" title="AlphaZero">AlphaZero</a></li> <li><a href="/wiki/Deep_Blue_(chess_computer)" title="Deep Blue (chess computer)">Deep Blue</a></li> <li><a href="/wiki/Leela_Chess_Zero" title="Leela Chess Zero">Leela Chess Zero</a></li> <li><a href="/wiki/Stockfish_(chess)" title="Stockfish (chess)">Stockfish</a></li></ul></li> <li><a class="mw-selflink selflink">Chess problem</a> <ul><li><a href="/wiki/Glossary_of_chess_problems" title="Glossary of chess problems">glossary</a></li> <li><a href="/wiki/Joke_chess_problem" title="Joke chess problem">joke chess</a></li></ul></li> <li><a href="/wiki/Chess_prodigy" title="Chess prodigy">Chess prodigy</a></li> <li><a href="/wiki/Simultaneous_exhibition" title="Simultaneous exhibition">Simultaneous exhibition</a></li> <li><a href="/wiki/Solving_chess" title="Solving chess">Solving chess</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Chess.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/28px-Chess.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/42px-Chess.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Chess.svg/56px-Chess.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> </span><a href="/wiki/Portal:Chess" title="Portal:Chess">Chess portal</a></li> <li><a href="/wiki/Category:Chess" title="Category:Chess">Category</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link 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