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role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="เมนูหลัก" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-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-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">เมนูหลัก</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">เมนูหลัก</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">ย้ายเมนูไปที่แถบด้านข้าง</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ซ่อน</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> การนำทาง </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/%E0%B8%AB%E0%B8%99%E0%B9%89%E0%B8%B2%E0%B8%AB%E0%B8%A5%E0%B8%B1%E0%B8%81" title="เยี่ยมชมหน้าหลัก [z]" accesskey="z"><span>หน้าหลัก</span></a></li><li id="n-ask" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B8%96%E0%B8%B2%E0%B8%A1%E0%B8%84%E0%B8%B3%E0%B8%96%E0%B8%B2%E0%B8%A1"><span>ถามคำถาม</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%E0%B8%AA%E0%B8%96%E0%B8%B2%E0%B8%99%E0%B8%B5%E0%B8%A2%E0%B9%88%E0%B8%AD%E0%B8%A2:%E0%B9%80%E0%B8%AB%E0%B8%95%E0%B8%B8%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%93%E0%B9%8C%E0%B8%9B%E0%B8%B1%E0%B8%88%E0%B8%88%E0%B8%B8%E0%B8%9A%E0%B8%B1%E0%B8%99" title="ค้นหาข้อมูลเบื้องหลังในเหตุการณ์ปัจจุบัน"><span>เหตุการณ์ปัจจุบัน</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%AA%E0%B8%B8%E0%B9%88%E0%B8%A1" title="โหลดหน้าแบบสุ่ม [x]" accesskey="x"><span>สุ่มบทความ</span></a></li><li id="n-about" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B9%80%E0%B8%81%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A7%E0%B8%81%E0%B8%B1%E0%B8%9A" title="ทำความรู้จักวิกิพีเดีย"><span>เกี่ยวกับวิกิพีเดีย</span></a></li><li id="n-contact" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B8%95%E0%B8%B4%E0%B8%94%E0%B8%95%E0%B9%88%E0%B8%AD" title="วิธีการติดต่อวิกิพีเดีย"><span>ติดต่อเรา</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> มีส่วนร่วม </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%98%E0%B8%B5%E0%B9%83%E0%B8%8A%E0%B9%89:%E0%B8%AA%E0%B8%B2%E0%B8%A3%E0%B8%9A%E0%B8%B1%E0%B8%8D" title="ข้อแนะนำการใช้และแก้ไขวิกิพีเดีย"><span>คำอธิบาย</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B8%AA%E0%B8%AD%E0%B8%99%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%83%E0%B8%8A%E0%B9%89%E0%B8%87%E0%B8%B2%E0%B8%99"><span>เริ่มต้นเขียน</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B8%A8%E0%B8%B2%E0%B8%A5%E0%B8%B2%E0%B8%9B%E0%B8%A3%E0%B8%B0%E0%B8%8A%E0%B8%B2%E0%B8%84%E0%B8%A1" title="เกี่ยวกับโครงการ สิ่งที่คุณทำได้ และวิธีการค้นหา"><span>ศาลาประชาคม</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%9B%E0%B8%A3%E0%B8%B1%E0%B8%9A%E0%B8%9B%E0%B8%A3%E0%B8%B8%E0%B8%87%E0%B8%A5%E0%B9%88%E0%B8%B2%E0%B8%AA%E0%B8%B8%E0%B8%94" title="รายการเปลี่ยนแปลงล่าสุดในวิกินี้ [r]" accesskey="r"><span>ปรับปรุงล่าสุด</span></a></li><li id="n-discord" class="mw-list-item"><a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%81%E0%B8%B4%E0%B8%9E%E0%B8%B5%E0%B9%80%E0%B8%94%E0%B8%B5%E0%B8%A2:%E0%B8%94%E0%B8%B4%E0%B8%AA%E0%B8%84%E0%B8%AD%E0%B8%A3%E0%B9%8C%E0%B8%94"><span>ดิสคอร์ด</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/%E0%B8%AB%E0%B8%99%E0%B9%89%E0%B8%B2%E0%B8%AB%E0%B8%A5%E0%B8%B1%E0%B8%81" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="วิกิพีเดีย" src="/static/images/mobile/copyright/wikipedia-wordmark-th.svg" style="width: 6.4375em; height: 1.6875em;"> <img class="mw-logo-tagline" alt="สารานุกรมเสรี" src="/static/images/mobile/copyright/wikipedia-tagline-th.svg" width="100" height="18" style="width: 6.25em; height: 1.125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue 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the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="หน้าตา" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">หน้าตา</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_th.wikipedia.org&uselang=th" class=""><span>บริจาคให้วิกิพีเดีย</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%AA%E0%B8%A3%E0%B9%89%E0%B8%B2%E0%B8%87%E0%B8%9A%E0%B8%B1%E0%B8%8D%E0%B8%8A%E0%B8%B5%E0%B8%9C%E0%B8%B9%E0%B9%89%E0%B9%83%E0%B8%8A%E0%B9%89%E0%B9%83%E0%B8%AB%E0%B8%A1%E0%B9%88&returnto=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81" title="แนะนำให้คุณสร้างบัญชีและเข้าสู่ระบบ แต่ไม่บังคับ" class=""><span>สร้างบัญชี</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%A5%E0%B9%87%E0%B8%AD%E0%B8%81%E0%B8%AD%E0%B8%B4%E0%B8%99&returnto=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81" title="แนะนำให้คุณเข้าสู่ระบบ แต่ไม่บังคับ [o]" accesskey="o" class=""><span>เข้าสู่ระบบ</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="ตัวเลือกเพิ่มเติม" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="เครื่องมือส่วนตัว" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">เครื่องมือส่วนตัว</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="เมนูผู้ใช้" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_th.wikipedia.org&uselang=th"><span>บริจาคให้วิกิพีเดีย</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%AA%E0%B8%A3%E0%B9%89%E0%B8%B2%E0%B8%87%E0%B8%9A%E0%B8%B1%E0%B8%8D%E0%B8%8A%E0%B8%B5%E0%B8%9C%E0%B8%B9%E0%B9%89%E0%B9%83%E0%B8%8A%E0%B9%89%E0%B9%83%E0%B8%AB%E0%B8%A1%E0%B9%88&returnto=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81" title="แนะนำให้คุณสร้างบัญชีและเข้าสู่ระบบ แต่ไม่บังคับ"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>สร้างบัญชี</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%A5%E0%B9%87%E0%B8%AD%E0%B8%81%E0%B8%AD%E0%B8%B4%E0%B8%99&returnto=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81" title="แนะนำให้คุณเข้าสู่ระบบ แต่ไม่บังคับ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>เข้าสู่ระบบ</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> หน้าสำหรับผู้แก้ไขที่ออกจากระบบ <a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%98%E0%B8%B5%E0%B9%83%E0%B8%8A%E0%B9%89:%E0%B8%9A%E0%B8%97%E0%B8%99%E0%B8%B3" aria-label="เรียนรู้เพิ่มเกี่ยวกับการแก้ไข"><span>เรียนรู้เพิ่มเติม</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B9%80%E0%B8%A3%E0%B8%B7%E0%B9%88%E0%B8%AD%E0%B8%87%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%89%E0%B8%B1%E0%B8%99%E0%B9%80%E0%B8%82%E0%B8%B5%E0%B8%A2%E0%B8%99" title="รายการการแก้ไขจากเลขที่อยู่ไอพีนี้ [y]" accesskey="y"><span>ส่วนร่วม</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%AB%E0%B8%99%E0%B9%89%E0%B8%B2%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2%E0%B8%82%E0%B8%AD%E0%B8%87%E0%B8%89%E0%B8%B1%E0%B8%99" title="อภิปรายเกี่ยวกับการแก้ไขจากเลขที่อยู่ไอพีนี้ [n]" accesskey="n"><span>คุย</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="ไซต์"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="สารบัญ" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">สารบัญ</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ย้ายเมนูไปที่แถบด้านข้าง</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ซ่อน</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">บทนำ</div> </a> </li> <li id="toc-การวิเคราะห์" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#การวิเคราะห์"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>การวิเคราะห์</span> </div> </a> <button aria-controls="toc-การวิเคราะห์-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 การวิเคราะห์ subsection</span> </button> <ul id="toc-การวิเคราะห์-sublist" class="vector-toc-list"> <li id="toc-ประสิทธิภาพ" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ประสิทธิภาพ"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>ประสิทธิภาพ</span> </div> </a> <ul id="toc-ประสิทธิภาพ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ตัวอย่างทีละขั้นตอน" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ตัวอย่างทีละขั้นตอน"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>ตัวอย่างทีละขั้นตอน</span> </div> </a> <ul id="toc-ตัวอย่างทีละขั้นตอน-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-การนำมาใช้งาน" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#การนำมาใช้งาน"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>การนำมาใช้งาน</span> </div> </a> <button aria-controls="toc-การนำมาใช้งาน-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 การนำมาใช้งาน subsection</span> </button> <ul id="toc-การนำมาใช้งาน-sublist" class="vector-toc-list"> <li id="toc-ตัวอย่างรหัสเทียม" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ตัวอย่างรหัสเทียม"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>ตัวอย่างรหัสเทียม</span> </div> </a> <ul id="toc-ตัวอย่างรหัสเทียม-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-อ้างอิง" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#อ้างอิง"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>อ้างอิง</span> </div> </a> <ul id="toc-อ้างอิง-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="สารบัญ" 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">การเรียงลำดับแบบเลือก</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" aria-label="ไปที่บทความในภาษาอื่น ซึ่งมีใน 41 ภาษา" > <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-41" 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">41 ภาษา</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/%D8%AA%D8%B1%D8%AA%D9%8A%D8%A8_%D8%A7%D9%86%D8%AA%D9%82%D8%A7%D8%A6%D9%8A" title="ترتيب انتقائي – อาหรับ" lang="ar" hreflang="ar" data-title="ترتيب انتقائي" data-language-autonym="العربية" data-language-local-name="อาหรับ" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Se%C3%A7m%C9%99li_%C3%A7e%C5%9Fidl%C9%99m%C9%99" title="Seçməli çeşidləmə – อาเซอร์ไบจาน" lang="az" hreflang="az" data-title="Seçməli çeşidləmə" data-language-autonym="Azərbaycanca" data-language-local-name="อาเซอร์ไบจาน" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%B0%D0%BD%D0%B5_%D1%87%D1%80%D0%B5%D0%B7_%D0%BF%D1%80%D1%8F%D0%BA%D0%B0_%D1%81%D0%B5%D0%BB%D0%B5%D0%BA%D1%86%D0%B8%D1%8F" title="Сортиране чрез пряка селекция – บัลแกเรีย" lang="bg" hreflang="bg" data-title="Сортиране чрез пряка селекция" data-language-autonym="Български" data-language-local-name="บัลแกเรีย" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%9A%E0%A5%81%E0%A4%A8%E0%A4%BE%E0%A4%B5_%E0%A4%9B%E0%A4%81%E0%A4%9F%E0%A4%BE%E0%A4%88" title="चुनाव छँटाई – Bhojpuri" lang="bh" hreflang="bh" data-title="चुनाव छँटाई" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C5%98azen%C3%AD_v%C3%BDb%C4%9Brem" title="Řazení výběrem – เช็ก" lang="cs" hreflang="cs" data-title="Řazení výběrem" data-language-autonym="Čeština" data-language-local-name="เช็ก" 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/Udtagelsessortering" title="Udtagelsessortering – เดนมาร์ก" lang="da" hreflang="da" data-title="Udtagelsessortering" data-language-autonym="Dansk" data-language-local-name="เดนมาร์ก" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Selectionsort" title="Selectionsort – เยอรมัน" lang="de" hreflang="de" data-title="Selectionsort" data-language-autonym="Deutsch" data-language-local-name="เยอรมัน" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CE%B1%CE%BE%CE%B9%CE%BD%CF%8C%CE%BC%CE%B7%CF%83%CE%B7_%CE%BC%CE%B5_%CE%B5%CF%80%CE%B9%CE%BB%CE%BF%CE%B3%CE%AE" title="Ταξινόμηση με επιλογή – กรีก" lang="el" hreflang="el" data-title="Ταξινόμηση με επιλογή" data-language-autonym="Ελληνικά" data-language-local-name="กรีก" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Selection_sort" title="Selection sort – อังกฤษ" lang="en" hreflang="en" data-title="Selection sort" data-language-autonym="English" data-language-local-name="อังกฤษ" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Ordenamiento_por_selecci%C3%B3n" title="Ordenamiento por selección – สเปน" lang="es" hreflang="es" data-title="Ordenamiento por selección" data-language-autonym="Español" data-language-local-name="สเปน" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Valiksortimine" title="Valiksortimine – เอสโตเนีย" lang="et" hreflang="et" data-title="Valiksortimine" data-language-autonym="Eesti" data-language-local-name="เอสโตเนีย" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%B1%D8%AA%D8%A8%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C_%D8%A7%D9%86%D8%AA%D8%AE%D8%A7%D8%A8%DB%8C" title="مرتب‌سازی انتخابی – เปอร์เซีย" lang="fa" hreflang="fa" data-title="مرتب‌سازی انتخابی" data-language-autonym="فارسی" data-language-local-name="เปอร์เซีย" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Valintalajittelu" title="Valintalajittelu – ฟินแลนด์" lang="fi" hreflang="fi" data-title="Valintalajittelu" data-language-autonym="Suomi" data-language-local-name="ฟินแลนด์" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Tri_par_s%C3%A9lection" title="Tri par sélection – ฝรั่งเศส" lang="fr" hreflang="fr" data-title="Tri par sélection" data-language-autonym="Français" data-language-local-name="ฝรั่งเศส" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%99%D7%95%D7%9F_%D7%91%D7%97%D7%99%D7%A8%D7%94" title="מיון בחירה – ฮิบรู" lang="he" hreflang="he" data-title="מיון בחירה" data-language-autonym="עברית" data-language-local-name="ฮิบรู" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9A%E0%A4%AF%E0%A4%A8_%E0%A4%9B%E0%A4%BE%E0%A4%82%E0%A4%9F%E0%A4%A8%E0%A4%BE" title="चयन छांटना – ฮินดี" lang="hi" hreflang="hi" data-title="चयन छांटना" data-language-autonym="हिन्दी" data-language-local-name="ฮินดี" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kiv%C3%A1laszt%C3%A1sos_rendez%C3%A9s" title="Kiválasztásos rendezés – ฮังการี" lang="hu" hreflang="hu" data-title="Kiválasztásos rendezés" data-language-autonym="Magyar" data-language-local-name="ฮังการี" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B8%D5%B6%D5%BF%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%A1%D5%B6_%D5%BF%D5%A5%D5%BD%D5%A1%D5%AF%D5%A1%D5%BE%D5%B8%D6%80%D5%B8%D6%82%D5%B4" title="Ընտրության տեսակավորում – อาร์เมเนีย" lang="hy" hreflang="hy" data-title="Ընտրության տեսակավորում" data-language-autonym="Հայերեն" data-language-local-name="อาร์เมเนีย" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Selection_sort" title="Selection sort – อิตาลี" lang="it" hreflang="it" data-title="Selection sort" data-language-autonym="Italiano" data-language-local-name="อิตาลี" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%81%B8%E6%8A%9E%E3%82%BD%E3%83%BC%E3%83%88" title="選択ソート – ญี่ปุ่น" lang="ja" hreflang="ja" data-title="選択ソート" data-language-autonym="日本語" data-language-local-name="ญี่ปุ่น" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A8%E1%83%94%E1%83%A0%E1%83%A9%E1%83%94%E1%83%95%E1%83%98%E1%83%97%E1%83%98_%E1%83%A1%E1%83%9D%E1%83%A0%E1%83%A2%E1%83%98%E1%83%A0%E1%83%94%E1%83%91%E1%83%90" title="შერჩევითი სორტირება – จอร์เจีย" lang="ka" hreflang="ka" data-title="შერჩევითი სორტირება" data-language-autonym="ქართული" data-language-local-name="จอร์เจีย" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D0%B0%D2%A3%D0%B4%D0%B0%D1%83_%D0%B0%D1%80%D2%9B%D1%8B%D0%BB%D1%8B_%D1%81%D2%B1%D1%80%D1%8B%D0%BF%D1%82%D0%B0%D1%83" title="Таңдау арқылы сұрыптау – คาซัค" lang="kk" hreflang="kk" data-title="Таңдау арқылы сұрыптау" data-language-autonym="Қазақша" data-language-local-name="คาซัค" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%86%E0%B2%AF%E0%B3%8D%E0%B2%95%E0%B3%86%E0%B2%AF_%E0%B2%B5%E0%B2%BF%E0%B2%82%E0%B2%97%E0%B2%A1%E0%B2%A3%E0%B3%86_(%E0%B2%B8%E0%B3%86%E0%B2%B2%E0%B2%95%E0%B3%8D%E0%B2%B7%E0%B2%A8%E0%B3%8D_%E0%B2%B8%E0%B2%BE%E0%B2%B0%E0%B3%8D%E0%B2%9F%E0%B3%8D)" title="ಆಯ್ಕೆಯ ವಿಂಗಡಣೆ (ಸೆಲಕ್ಷನ್ ಸಾರ್ಟ್) – กันนาดา" lang="kn" hreflang="kn" data-title="ಆಯ್ಕೆಯ ವಿಂಗಡಣೆ (ಸೆಲಕ್ಷನ್ ಸಾರ್ಟ್)" data-language-autonym="ಕನ್ನಡ" data-language-local-name="กันนาดา" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%84%A0%ED%83%9D_%EC%A0%95%EB%A0%AC" title="선택 정렬 – เกาหลี" lang="ko" hreflang="ko" data-title="선택 정렬" data-language-autonym="한국어" data-language-local-name="เกาหลี" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Selection_Sort" title="Selection Sort – ลอมบาร์ด" lang="lmo" hreflang="lmo" data-title="Selection Sort" data-language-autonym="Lombard" data-language-local-name="ลอมบาร์ด" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/I%C5%A1rinkimo_rikiavimo_algoritmas" title="Išrinkimo rikiavimo algoritmas – ลิทัวเนีย" lang="lt" hreflang="lt" data-title="Išrinkimo rikiavimo algoritmas" data-language-autonym="Lietuvių" data-language-local-name="ลิทัวเนีย" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B5%86%E0%B4%B2%E0%B4%95%E0%B5%8D%E0%B4%B7%E0%B5%BB_%E0%B4%B8%E0%B5%8B%E0%B5%BC%E0%B4%9F%E0%B5%8D%E0%B4%9F%E0%B5%8D" title="സെലക്ഷൻ സോർട്ട് – มาลายาลัม" lang="ml" hreflang="ml" data-title="സെലക്ഷൻ സോർട്ട്" data-language-autonym="മലയാളം" data-language-local-name="มาลายาลัม" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Selection_sort" title="Selection sort – ดัตช์" lang="nl" hreflang="nl" data-title="Selection sort" data-language-autonym="Nederlands" data-language-local-name="ดัตช์" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Sortowanie_przez_wybieranie" title="Sortowanie przez wybieranie – โปแลนด์" lang="pl" hreflang="pl" data-title="Sortowanie przez wybieranie" data-language-autonym="Polski" data-language-local-name="โปแลนด์" 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/Selection_sort" title="Selection sort – โปรตุเกส" lang="pt" hreflang="pt" data-title="Selection sort" data-language-autonym="Português" data-language-local-name="โปรตุเกส" 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%A1%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%BE%D0%B2%D0%BA%D0%B0_%D0%B2%D1%8B%D0%B1%D0%BE%D1%80%D0%BE%D0%BC" title="Сортировка выбором – รัสเซีย" lang="ru" hreflang="ru" data-title="Сортировка выбором" data-language-autonym="Русский" data-language-local-name="รัสเซีย" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Selection_sort" title="Selection sort – Simple English" lang="en-simple" hreflang="en-simple" data-title="Selection sort" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Selection_sort" title="Selection sort – สโลวัก" lang="sk" hreflang="sk" data-title="Selection sort" data-language-autonym="Slovenčina" data-language-local-name="สโลวัก" 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/Urejanje_z_navadnim_izbiranjem" title="Urejanje z navadnim izbiranjem – สโลวีเนีย" lang="sl" hreflang="sl" data-title="Urejanje z navadnim izbiranjem" data-language-autonym="Slovenščina" data-language-local-name="สโลวีเนีย" 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%A1%D0%BE%D1%80%D1%82%D0%B8%D1%80%D0%B0%D1%9A%D0%B5_%D1%81%D0%B5%D0%BB%D0%B5%D0%BA%D1%86%D0%B8%D1%98%D0%BE%D0%BC" title="Сортирање селекцијом – เซอร์เบีย" lang="sr" hreflang="sr" data-title="Сортирање селекцијом" data-language-autonym="Српски / srpski" data-language-local-name="เซอร์เบีย" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Urvalssortering" title="Urvalssortering – สวีเดน" lang="sv" hreflang="sv" data-title="Urvalssortering" data-language-autonym="Svenska" data-language-local-name="สวีเดน" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Selection_sort" title="Selection sort – ตากาล็อก" lang="tl" hreflang="tl" data-title="Selection sort" data-language-autonym="Tagalog" data-language-local-name="ตากาล็อก" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Se%C3%A7meli_s%C4%B1ralama" title="Seçmeli sıralama – ตุรกี" lang="tr" hreflang="tr" data-title="Seçmeli sıralama" data-language-autonym="Türkçe" data-language-local-name="ตุรกี" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A1%D0%BE%D1%80%D1%82%D1%83%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F_%D0%B2%D0%B8%D0%B1%D0%BE%D1%80%D0%BE%D0%BC" title="Сортування вибором – ยูเครน" lang="uk" hreflang="uk" data-title="Сортування вибором" data-language-autonym="Українська" data-language-local-name="ยูเครน" 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/S%E1%BA%AFp_x%E1%BA%BFp_ch%E1%BB%8Dn" title="Sắp xếp chọn – เวียดนาม" lang="vi" hreflang="vi" data-title="Sắp xếp chọn" data-language-autonym="Tiếng Việt" data-language-local-name="เวียดนาม" 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/%E9%80%89%E6%8B%A9%E6%8E%92%E5%BA%8F" title="选择排序 – จีน" lang="zh" hreflang="zh" data-title="选择排序" data-language-autonym="中文" data-language-local-name="จีน" 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/Q220831#sitelinks-wikipedia" title="แก้ไขลิงก์ข้ามภาษา" class="wbc-editpage">แก้ไขลิงก์</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div 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href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=history" title="แก้ไขเก่าของหน้านี้ [h]" accesskey="h"><span>ดูประวัติ</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="หน้าเครื่องมือ"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="เครื่องมือ" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">เครื่องมือ</span> 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href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:%E0%B8%AB%E0%B8%99%E0%B8%B1%E0%B8%87%E0%B8%AA%E0%B8%B7%E0%B8%AD&bookcmd=book_creator&referer=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81"><span>สร้างหนังสือ</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:DownloadAsPdf&page=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=show-download-screen"><span>ดาวน์โหลดเป็น PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&printable=yes" title="รุ่นที่พร้อมพิมพ์ของหน้านี้ [p]" accesskey="p"><span>รุ่นพร้อมพิมพ์</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> ในโครงการอื่น </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Selection_sort" hreflang="en"><span>วิกิมีเดียคอมมอนส์</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q220831" title="ลิงก์ไปยังสิ่งนี้ในคลังซึ่งเชื่อมโยงข้อมูลต่าง ๆ เข้าด้วยกัน [g]" accesskey="g"><span>สิ่งนี้ในวิกิสนเทศ</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="หน้าเครื่องมือ"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="หน้าตา"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">หน้าตา</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ย้ายเมนูไปที่แถบด้านข้าง</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ซ่อน</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">จากวิกิพีเดีย สารานุกรมเสรี</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="th" dir="ltr"><table class="infobox" style="width:22em"><caption>การเรียงลำดับแบบเลือก</caption><tbody><tr><td colspan="2" style="text-align:center"><span class="mw-default-size" typeof="mw:File"><a href="/wiki/%E0%B9%84%E0%B8%9F%E0%B8%A5%E0%B9%8C:Selection-Sort-Animation.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/9/94/Selection-Sort-Animation.gif" decoding="async" width="100" height="371" class="mw-file-element" data-file-width="100" data-file-height="371" /></a></span><div>แสดงขั้นตอนการทำงานของการเรียงลำดับแบบเลือก; สีเหลือง คือ เรียงเรียบร้อยแล้ว ; สีแดง คือ ค่าที่น้อยที่สุดในปัจจุบัน ; สีฟ้า คือ ค่าที่กำลังพิจารณา</div></td></tr><tr><th scope="row">ประเภท</th><td><a href="/wiki/%E0%B8%82%E0%B8%B1%E0%B9%89%E0%B8%99%E0%B8%95%E0%B8%AD%E0%B8%99%E0%B8%A7%E0%B8%B4%E0%B8%98%E0%B8%B5%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A" title="ขั้นตอนวิธีการเรียงลำดับ">ขั้นตอนวิธีการเรียงลำดับ</a></td></tr><tr><th scope="row">โครงสร้างข้อมูล</th><td><a href="/wiki/%E0%B8%A3%E0%B8%B2%E0%B8%A2%E0%B8%81%E0%B8%B2%E0%B8%A3_(%E0%B9%82%E0%B8%84%E0%B8%A3%E0%B8%87%E0%B8%AA%E0%B8%A3%E0%B9%89%E0%B8%B2%E0%B8%87%E0%B8%82%E0%B9%89%E0%B8%AD%E0%B8%A1%E0%B8%B9%E0%B8%A5)" title="รายการ (โครงสร้างข้อมูล)">รายการ</a></td></tr><tr><th scope="row"><a href="/wiki/%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B8%94%E0%B8%B5%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A2%E0%B9%88%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A5%E0%B8%B0%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B9%80%E0%B8%89%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2" title="กรณีดีที่สุด แย่ที่สุด และกรณีเฉลี่ย">ประสิทธิภาพเมื่อเกิดกรณีแย่ที่สุด</a></th><td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle O(n^{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo stretchy="false">(</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O(n^{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6cd9594a16cb898b8f2a2dff9227a385ec183392" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.032ex; height:3.176ex;" alt="{\displaystyle O(n^{2})}"></span></td></tr><tr><th scope="row"><a href="/wiki/%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B8%94%E0%B8%B5%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A2%E0%B9%88%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A5%E0%B8%B0%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B9%80%E0%B8%89%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2" title="กรณีดีที่สุด แย่ที่สุด และกรณีเฉลี่ย">ประสิทธิภาพเมื่อเกิดกรณีดีที่สุด</a></th><td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle O(n^{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo stretchy="false">(</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O(n^{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6cd9594a16cb898b8f2a2dff9227a385ec183392" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.032ex; height:3.176ex;" alt="{\displaystyle O(n^{2})}"></span></td></tr><tr><th scope="row"><a href="/wiki/%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B8%94%E0%B8%B5%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A2%E0%B9%88%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A5%E0%B8%B0%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B9%80%E0%B8%89%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2" title="กรณีดีที่สุด แย่ที่สุด และกรณีเฉลี่ย">ประสิทธิภาพเมื่อเกิดกรณีทั่วไป</a></th><td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle O(n^{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo stretchy="false">(</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O(n^{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6cd9594a16cb898b8f2a2dff9227a385ec183392" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.032ex; height:3.176ex;" alt="{\displaystyle O(n^{2})}"></span></td></tr><tr><th scope="row"><a href="/wiki/%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B8%94%E0%B8%B5%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A2%E0%B9%88%E0%B8%97%E0%B8%B5%E0%B9%88%E0%B8%AA%E0%B8%B8%E0%B8%94_%E0%B9%81%E0%B8%A5%E0%B8%B0%E0%B8%81%E0%B8%A3%E0%B8%93%E0%B8%B5%E0%B9%80%E0%B8%89%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2" title="กรณีดีที่สุด แย่ที่สุด และกรณีเฉลี่ย">ปริมาณความต้องการพื้นที่เมื่อเกิดกรณีแย่ที่สุด</a></th><td>ใช้พื่นที่ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle O(1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo stretchy="false">(</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O(1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e66384bc40452c5452f33563fe0e27e803b0cc21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.745ex; height:2.843ex;" alt="{\displaystyle O(1)}"></span> เพิ่มเติม</td></tr><tr><td colspan="2" style="text-align:right"><style data-mw-deduplicate="TemplateStyles:r10552737">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li 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href="/wiki/%E0%B8%9E%E0%B8%B4%E0%B9%80%E0%B8%A8%E0%B8%A9:EditPage/%E0%B9%81%E0%B8%A1%E0%B9%88%E0%B9%81%E0%B8%9A%E0%B8%9A:%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81" title="พิเศษ:EditPage/แม่แบบ:การเรียงลำดับแบบเลือก"><abbr title="แก้ไขแม่แบบนี้">ก</abbr></a></li></ul></div></td></tr></tbody></table> <p>ในสาขา<a href="/wiki/%E0%B8%A7%E0%B8%B4%E0%B8%97%E0%B8%A2%E0%B8%B2%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%84%E0%B8%AD%E0%B8%A1%E0%B8%9E%E0%B8%B4%E0%B8%A7%E0%B9%80%E0%B8%95%E0%B8%AD%E0%B8%A3%E0%B9%8C" title="วิทยาการคอมพิวเตอร์">วิทยาการคอมพิวเตอร์</a> <b>การเรียงลำดับแบบเลือก</b> (<a href="/wiki/%E0%B8%A0%E0%B8%B2%E0%B8%A9%E0%B8%B2%E0%B8%AD%E0%B8%B1%E0%B8%87%E0%B8%81%E0%B8%A4%E0%B8%A9" title="ภาษาอังกฤษ">อังกฤษ</a>: <span lang="en">selection sort</span>) เป็น<a href="/wiki/%E0%B8%82%E0%B8%B1%E0%B9%89%E0%B8%99%E0%B8%95%E0%B8%AD%E0%B8%99%E0%B8%A7%E0%B8%B4%E0%B8%98%E0%B8%B5%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A" title="ขั้นตอนวิธีการเรียงลำดับ">ขั้นตอนวิธีการเรียงลำดับ</a>อย่างง่ายโดยใช้วิธีการเปรียบเทียบ ทำงานโดยการหาค่าเหมาะสมที่สุด (ค่ามากสุดหรือน้อยสุด) ที่อยู่ใน<a href="/wiki/%E0%B8%A3%E0%B8%B2%E0%B8%A2%E0%B8%81%E0%B8%B2%E0%B8%A3" class="mw-redirect" title="รายการ">รายการ</a>ส่วนที่ยังไม่เรียงและนำค่าเหมาะที่สุดนั้นมาต่อท้ายของส่วนที่เรียงแล้ว ก็จะทำให้ส่วนที่เรียงแล้วมีขนาดใหญ่ขึ้นทีละหนึ่งในแต่ละรอบการทำงาน ทำเช่นนี้จนไม่มีส่วนที่ยังไม่เรียงก็เสร็จ แต่ด้วยประสิทธิภาพเมื่อเกิดกรณีทั่วไปที่ O(n<sup>2</sup>) ทำให้ไม่เหมาะที่จะใช้ในกรณีที่มีข้อมูลในรายการเป็นจำนวนมาก แต่ถ้าหากปรับปรุงการหาค่าเหมาะสมที่สุดในรายการด้วย<a href="/wiki/%E0%B9%81%E0%B8%96%E0%B8%A7%E0%B8%84%E0%B8%AD%E0%B8%A2%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%AA%E0%B8%B3%E0%B8%84%E0%B8%B1%E0%B8%8D" title="แถวคอยลำดับความสำคัญ">แถวคอยลำดับความสำคัญ</a>ที่<a href="/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%97%E0%B8%B3%E0%B9%83%E0%B8%AB%E0%B9%89%E0%B9%80%E0%B8%81%E0%B8%B4%E0%B8%94%E0%B8%9C%E0%B8%A5" title="การทำให้เกิดผล">ทำให้เกิดผล</a>ด้วยโครงสร้างข้อมูลแบบ<a href="/wiki/%E0%B8%AE%E0%B8%B5%E0%B8%9B%E0%B8%97%E0%B8%A7%E0%B8%B4%E0%B8%A0%E0%B8%B2%E0%B8%84" title="ฮีปทวิภาค">ฮีปทวิภาค</a>จะเรียกว่า<a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B8%AE%E0%B8%B5%E0%B8%9B&action=edit&redlink=1" class="new" title="การเรียงลำดับแบบฮีป (ไม่มีหน้านี้)">การเรียงลำดับแบบฮีป</a> ซึ่งมีประสิทธิภาพดีกว่าที่ O(n log n) </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="การวิเคราะห์"><span id=".E0.B8.81.E0.B8.B2.E0.B8.A3.E0.B8.A7.E0.B8.B4.E0.B9.80.E0.B8.84.E0.B8.A3.E0.B8.B2.E0.B8.B0.E0.B8.AB.E0.B9.8C"></span>การวิเคราะห์</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=1" title="แก้ไขส่วน: การวิเคราะห์"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="ประสิทธิภาพ"><span id=".E0.B8.9B.E0.B8.A3.E0.B8.B0.E0.B8.AA.E0.B8.B4.E0.B8.97.E0.B8.98.E0.B8.B4.E0.B8.A0.E0.B8.B2.E0.B8.9E"></span>ประสิทธิภาพ</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=2" title="แก้ไขส่วน: ประสิทธิภาพ"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>การเรียงลำดับแบบเลือกไม่เพียงง่ายต่อการเข้าใจแล้ว ก็ง่ายต่อการวิเคราะห์ด้วยเพราะว่าข้อมูลที่อยู่ในรายการนั้นแทบไม่มีผลต่อการทำงานของการเรียงลำดับแบบเลือกเลย เริ่มด้วยส่วนของการเลือกค่าที่เหมาะสมที่สุด (มากสุดหรือน้อยสุด) จากข้อมูลส่วนที่ยังไม่เรียงนั้นหากในส่วนนี้มีข้อมูลอยู่ n ตัว ก็จะเปรียบเทียบอย่างน้อย n-1 ครั้ง เมื่อได้ค่าเหมาะสมที่สุดแล้วก็สลับกับตัวแรกของส่วนที่ยังไม่เรียง แล้วลดขนาดของส่วนที่ยังไม่เรียงลงหนึ่ง แล้วก็หาค่าเหมาะสมที่สุดใหม่อีกครั้ง และแน่นอนส่วนที่ยังไม่เรียงก็จะเหลือข้อมูล n-1 ตัว (ก็ต้องเปรียบเทียบ n-2 ครั้ง) ทำเช่นนั้นไปเรื่อยๆ ดังนั้นจำนวนการเปรียบเทียบทั้งหมดเท่ากับ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (n-1)+(n-2)+...+2+1=n(n-1)/2\in \theta (n^{2})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>+</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mi>n</mi> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mo>∈</mo> <mi>θ</mi> <mo stretchy="false">(</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (n-1)+(n-2)+...+2+1=n(n-1)/2\in \theta (n^{2})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1efd6ee0b9977d482bd0188aa2bb75a312337b2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:51.352ex; height:3.176ex;" alt="{\displaystyle (n-1)+(n-2)+...+2+1=n(n-1)/2\in \theta (n^{2})}"></span> </p> <div class="mw-heading mw-heading3"><h3 id="ตัวอย่างทีละขั้นตอน"><span id=".E0.B8.95.E0.B8.B1.E0.B8.A7.E0.B8.AD.E0.B8.A2.E0.B9.88.E0.B8.B2.E0.B8.87.E0.B8.97.E0.B8.B5.E0.B8.A5.E0.B8.B0.E0.B8.82.E0.B8.B1.E0.B9.89.E0.B8.99.E0.B8.95.E0.B8.AD.E0.B8.99"></span>ตัวอย่างทีละขั้นตอน</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=3" title="แก้ไขส่วน: ตัวอย่างทีละขั้นตอน"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>การเรียงลำดับข้อมูลในรายการดังนี้ 33 2 12 44 7 14 29 ด้วยขั้นตอนวิธีแบบเลือก เริ่มต้นถือว่าทุกตัวในรายการยังไม่เรียง<br /> <b>ครั้งที่ 1</b> หาตัวที่มีค่าน้อยที่สุดในรายการส่วนที่ยังไม่เรียงนั่นคือ 11 สลับกับตัวแรกของข้อมูลที่ยังไม่เรียงนั่นคือ 2”<br /> (<b>64</b> 25 12 22 <b>11</b>) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \to }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">→</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \to }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span> (<b>11</b> 25 12 22 <b>64</b>)<br /> <b>ครั้งที่ 2</b> หาตัวที่มีค่าน้อยที่สุดนั่นคือ 12 สลับกับตัวแรกนั่นคือ 25<br /> (11 <b>25</b> <b>12</b> 22 64) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \to }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">→</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \to }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span> (11 <b>12</b> <b>25</b> 22 64)<br /> <b>ครั้งที่ 3</b> หาตัวที่มีค่าน้อยที่สุดนั่นคือ 22 สลับกับตัวแรกนั่นคือ 25<br /> (11 12 <b>25</b> <b>22</b> 64) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \to }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">→</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \to }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1daab843254cfcb23a643070cf93f3badc4fbbbd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.843ex;" alt="{\displaystyle \to }"></span> (11 12 <b>22</b> <b>25</b> 64) <br /> เรียงเสร็จเรียบร้อย<br /> </p> <div class="mw-heading mw-heading2"><h2 id="การนำมาใช้งาน"><span id=".E0.B8.81.E0.B8.B2.E0.B8.A3.E0.B8.99.E0.B8.B3.E0.B8.A1.E0.B8.B2.E0.B9.83.E0.B8.8A.E0.B9.89.E0.B8.87.E0.B8.B2.E0.B8.99"></span>การนำมาใช้งาน</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=4" title="แก้ไขส่วน: การนำมาใช้งาน"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="ตัวอย่างรหัสเทียม"><span id=".E0.B8.95.E0.B8.B1.E0.B8.A7.E0.B8.AD.E0.B8.A2.E0.B9.88.E0.B8.B2.E0.B8.87.E0.B8.A3.E0.B8.AB.E0.B8.B1.E0.B8.AA.E0.B9.80.E0.B8.97.E0.B8.B5.E0.B8.A2.E0.B8.A1"></span>ตัวอย่าง<a href="/wiki/%E0%B8%A3%E0%B8%AB%E0%B8%B1%E0%B8%AA%E0%B9%80%E0%B8%97%E0%B8%B5%E0%B8%A2%E0%B8%A1" title="รหัสเทียม">รหัสเทียม</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=5" title="แก้ไขส่วน: ตัวอย่างรหัสเทียม"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-highlight mw-highlight-lang-pascal mw-content-ltr" dir="ltr"><pre><span></span><span class="k">begin</span><span class="w"> </span><span class="n">selectionSort</span><span class="w"> </span><span class="p">(</span><span class="w"> </span><span class="n">A</span><span class="w"> </span><span class="err">คือ</span><span class="w"> </span><span class="err">แถวลำดับที่จะถูกเรียง</span><span class="w"> </span><span class="p">)</span> <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="k">to</span><span class="w"> </span><span class="err">ขนาดของ</span><span class="p">(</span><span class="n">A</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span> <span class="w"> </span><span class="err">ให้ตำแหน่งของค่าน้อยสุด</span><span class="w"> </span><span class="err">คือ</span><span class="w"> </span><span class="n">i</span> <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="w"> </span><span class="k">to</span><span class="w"> </span><span class="err">ขนาดของ</span><span class="p">(</span><span class="n">A</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span> <span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">A</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">A</span><span class="p">[</span><span class="err">ตำแหน่งของค่าน้อยสุด</span><span class="p">]</span><span class="w"> </span><span class="k">then</span> <span class="w"> </span><span class="err">ให้ตำแหน่งของค่าน้อยสุด</span><span class="w"> </span><span class="err">คือ</span><span class="w"> </span><span class="n">j</span> <span class="w"> </span><span class="k">end</span><span class="w"> </span><span class="k">if</span> <span class="w"> </span><span class="k">end</span><span class="w"> </span><span class="k">for</span> <span class="w"> </span><span class="err">สลับ</span><span class="w"> </span><span class="n">A</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="err">กับ</span><span class="w"> </span><span class="n">A</span><span class="p">[</span><span class="err">ตำแหน่งของค่าน้อยสุด</span><span class="p">]</span> <span class="w"> </span><span class="k">end</span><span class="w"> </span><span class="k">for</span> <span class="k">end</span> </pre></div> <div class="mw-heading mw-heading2"><h2 id="อ้างอิง"><span id=".E0.B8.AD.E0.B9.89.E0.B8.B2.E0.B8.87.E0.B8.AD.E0.B8.B4.E0.B8.87"></span>อ้างอิง</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%80%E0%B8%A3%E0%B8%B5%E0%B8%A2%E0%B8%87%E0%B8%A5%E0%B8%B3%E0%B8%94%E0%B8%B1%E0%B8%9A%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B9%80%E0%B8%A5%E0%B8%B7%E0%B8%AD%E0%B8%81&action=edit&section=6" title="แก้ไขส่วน: อ้างอิง"><span>แก้</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r9895811">.mw-parser-output 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