{"id":15935,"date":"2024-01-18T21:00:14","date_gmt":"2024-01-18T17:30:14","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/"},"modified":"2024-01-18T21:00:14","modified_gmt":"2024-01-18T17:30:14","slug":"%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/","title":{"rendered":"\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0633\u0631\u0641\u0635\u0644\u0647\u0627\u06cc \u0645\u0637\u0644\u0628<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d9%85%d8%b9%d8%b1%d9%81%db%8c\" >\u0645\u0639\u0631\u0641\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%a7%db%8c%d8%af%d9%87_%d9%be%d8%b4%d8%aa_%d8%af%d8%b3%d8%aa%d9%87_%d8%a8%d9%86%d8%af%db%8c\" >\u0627\u06cc\u062f\u0647 \u067e\u0634\u062a \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%b3%d8%a7%d8%ae%d8%aa%d8%a7%d8%b1_%d8%af%d8%a7%d8%af%d9%87_%d9%87%db%8c%d9%be\" >\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0647\u06cc\u067e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d8%b1%d9%88%d8%b4_%d9%be%db%8c%d8%a7%d8%af%d9%87_%d8%b3%d8%a7%d8%b2%db%8c_%d9%85%d8%b1%d8%aa%d8%a8_%d8%b3%d8%a7%d8%b2%db%8c_%d9%87%db%8c%d9%be_%d8%af%d8%b1_%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\" >\u0631\u0648\u0634 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d9%85%d9%82%d8%a7%db%8c%d8%b3%d9%87_%d8%a8%d8%a7_%d8%b3%d8%a7%db%8c%d8%b1_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d9%87%d8%a7%db%8c_%d9%85%d8%b1%d8%aa%d8%a8_%d8%b3%d8%a7%d8%b2%db%8c\" >\u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%b1%d8%aa%d8%a8-%d8%b3%d8%a7%d8%b2%db%8c-%d9%87%db%8c%d9%be-%d8%af%d8%b1-%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87\" >\u0646\u062a\u06cc\u062c\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 6<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<h3 id=\"introduction\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%b9%d8%b1%d9%81%db%8c\"><\/span>\u0645\u0639\u0631\u0641\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><em>\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u067e\u0634\u062a\u0647<\/em> \u0646\u0645\u0648\u0646\u0647 \u062f\u06cc\u06af\u0631\u06cc \u0627\u0632 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a.  \u0645\u0632\u06cc\u062a \u0627\u0635\u0644\u06cc \u0622\u0646 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u062f\u0648\u0646 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc\u060c \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631 \u062e\u0648\u0628\u06cc \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \\(O(nlogn)\\) \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0627\u0632 \u0646\u0627\u0645 \u0622\u0646 \u067e\u06cc\u062f\u0627\u0633\u062a\u060c Heap Sort \u0628\u0647 \u0634\u062f\u062a \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a \u0631\u0648\u06cc \u0631\u0627 <em>\u067e\u0634\u062a\u0647<\/em> \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 &#8211; \u0627\u062c\u0631\u0627\u06cc \u0645\u0634\u062a\u0631\u06a9 \u0627\u0644\u0641 <em>\u0635\u0641 \u0627\u0648\u0644\u0648\u06cc\u062a<\/em>.<\/p>\n<p>\u0628\u062f\u0648\u0646 \u0634\u06a9 Heap Sort \u06cc\u06a9\u06cc \u0627\u0632 \u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0633\u062a\u060c \u0648 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a \u06a9\u0647 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0646\u0633\u0628\u062a\u0627\u064b \u06a9\u0627\u0631\u0622\u0645\u062f \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc\u200c\u0647\u0627\u06cc \u0633\u0627\u062f\u0647 \u0627\u0633\u062a\u060c \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0639\u0645\u0648\u0644\u06cc \u0627\u0633\u062a.<\/p>\n<h3 id=\"theideabehindtheheapsort\"><span class=\"ez-toc-section\" id=\"%d8%a7%db%8c%d8%af%d9%87_%d9%be%d8%b4%d8%aa_%d8%af%d8%b3%d8%aa%d9%87_%d8%a8%d9%86%d8%af%db%8c\"><\/span>\u0627\u06cc\u062f\u0647 \u067e\u0634\u062a \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0628\u0627 \u062d\u0630\u0641 \u0639\u0646\u0627\u0635\u0631 \u0627\u0632 \u0642\u0633\u0645\u062a \u067e\u0634\u062a\u0647 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9\u06cc \u06cc\u06a9\u06cc \u0648 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0622\u0646\u0647\u0627 \u0628\u0647 \u0642\u0633\u0645\u062a \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0622\u0631\u0627\u06cc\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f.  \u0642\u0628\u0644 \u0627\u0632 \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0647 \u062a\u0648\u0636\u06cc\u062d \u0628\u06cc\u0634\u062a\u0631 \u0628\u067e\u0631\u062f\u0627\u0632\u06cc\u0645 \u0648 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u067e\u0634\u062a\u0647 \u0631\u0627 \u062f\u0648\u0628\u0627\u0631\u0647 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0628\u0627\u06cc\u062f \u0628\u0647 \u0686\u0646\u062f \u0648\u06cc\u0698\u06af\u06cc \u062e\u0648\u062f \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0627\u0634\u0627\u0631\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u06cc\u06a9 \u0627\u0633\u062a <em><strong>\u062f\u0631\u062c\u0627<\/strong> \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645<\/em>\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a\u06cc \u0627\u0632 \u062d\u0627\u0641\u0638\u0647 \u0627\u0636\u0627\u0641\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u062f\u060c \u06cc\u0639\u0646\u06cc \u062d\u0627\u0641\u0638\u0647 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0633\u062a\u06af\u06cc \u0646\u062f\u0627\u0631\u062f \u0631\u0648\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u062e\u0648\u062f \u0622\u0631\u0627\u06cc\u0647 \u0627\u0648\u0644\u06cc\u0647\u060c \u063a\u06cc\u0631 \u0627\u0632 \u062d\u0627\u0641\u0638\u0647 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0630\u062e\u06cc\u0631\u0647 \u0622\u0646 \u0622\u0631\u0627\u06cc\u0647.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0647\u06cc\u0686 \u06a9\u067e\u06cc \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0635\u0644\u06cc \u0644\u0627\u0632\u0645 \u0646\u06cc\u0633\u062a\u060c \u0648 \u0647\u06cc\u0686 \u067e\u0634\u062a\u0647 \u062a\u0645\u0627\u0633 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0648 \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f.  \u0633\u0627\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc Heap Sort \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0627\u0632 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648\u0645 \u0628\u0631\u0627\u06cc \u0630\u062e\u06cc\u0631\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0631\u062a\u0628\u200c\u0634\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f.  \u0645\u0627 \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u0632\u06cc\u0631\u0627 \u062f\u0631 \u06a9\u062f \u0628\u0633\u06cc\u0627\u0631 \u0628\u0635\u0631\u06cc \u062a\u0631 \u0648 \u0622\u0633\u0627\u0646 \u062a\u0631 \u0627\u0633\u062a\u060c \u0627\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0627\u0645\u0644 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0631\u062f. <em>\u062f\u0631\u062c\u0627<\/em>.<\/p>\n<p>\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0627\u0633\u062a <em><strong>\u0646\u0627\u067e\u0627\u06cc\u062f\u0627\u0631<\/strong><\/em>\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0646\u0633\u0628\u06cc \u0639\u0646\u0627\u0635\u0631 \u0628\u0627 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0631\u0627\u0628\u0631 \u0631\u0627 \u062d\u0641\u0638 \u0646\u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u06cc\u06a9 \u0645\u0634\u06a9\u0644 \u0628\u0627 \u0627\u0646\u0648\u0627\u0639 \u0627\u0648\u0644\u06cc\u0647 (\u0645\u0627\u0646\u0646\u062f \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0648 \u06a9\u0627\u0631\u0627\u06a9\u062a\u0631\u0647\u0627&#8230;) \u0646\u06cc\u0633\u062a\u060c \u0627\u0645\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0627\u0646\u0648\u0627\u0639 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0645\u0627\u0646\u0646\u062f \u0627\u0634\u06cc\u0627 \u0631\u0627 \u0645\u0631\u062a\u0628 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0645\u0634\u06a9\u0644 \u0633\u0627\u0632 \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u06cc\u06a9 \u06a9\u0644\u0627\u0633 \u0633\u0641\u0627\u0631\u0634\u06cc \u062f\u0627\u0631\u06cc\u0645 <code>Person<\/code> \u0628\u0627 <code>age<\/code> \u0648 <code>name<\/code> \u0641\u06cc\u0644\u062f\u0647\u0627\u060c \u0648 \u0686\u0646\u062f\u06cc\u0646 \u0634\u06cc \u0627\u0632 \u0622\u0646 \u06a9\u0644\u0627\u0633 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647\u060c \u0627\u0632 \u062c\u0645\u0644\u0647 \u0634\u062e\u0635\u06cc \u0628\u0647 \u0646\u0627\u0645 &#8220;Mike&#8221; 19 \u0633\u0627\u0644\u0647\u060c \u0648 &#8220;David&#8221;\u060c \u0647\u0645\u0686\u0646\u06cc\u0646 19 \u0633\u0627\u0644\u0647 &#8211; \u06a9\u0647 \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0638\u0627\u0647\u0631 \u0645\u06cc \u0634\u0648\u0646\u062f.<\/p>\n<p>\u0627\u06af\u0631 \u062a\u0635\u0645\u06cc\u0645 \u0628\u06af\u06cc\u0631\u06cc\u0645 \u0622\u0646 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 \u0627\u0641\u0631\u0627\u062f \u0631\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0633\u0646 \u0645\u0631\u062a\u0628 \u06a9\u0646\u06cc\u0645\u060c \u0647\u06cc\u0686 \u062a\u0636\u0645\u06cc\u0646\u06cc \u0648\u062c\u0648\u062f \u0646\u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a \u06a9\u0647 &#8220;\u0645\u0627\u06cc\u06a9&#8221; \u0642\u0628\u0644 \u0627\u0632 &#8220;\u062f\u06cc\u0648\u06cc\u062f&#8221; \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062f\u060c \u062d\u062a\u06cc \u0627\u06af\u0631 \u0622\u0646\u0647\u0627 \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0648\u0644\u06cc\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u0646\u062f.  \u0622\u06cc \u062a\u06cc <em>\u0645\u06cc \u062a\u0648\u0627\u0646<\/em> \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u062f\u060c \u0627\u0645\u0627 \u062a\u0636\u0645\u06cc\u0646 \u0646\u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p><strong>\u062d\u0642\u06cc\u0642\u062a \u062e\u0646\u062f\u0647 \u062f\u0627\u0631:<\/strong> Heap Sort \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0627\u0633\u062a <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/github.com\/torvalds\/linux\/blob\/master\/lib\/sort.c\">\u0647\u0633\u062a\u0647 \u0644\u06cc\u0646\u0648\u06a9\u0633<\/a>.<\/p>\n<\/p><\/div><\/div><\/div>\n<h3 id=\"theheapdatastructure\"><span class=\"ez-toc-section\" id=\"%d8%b3%d8%a7%d8%ae%d8%aa%d8%a7%d8%b1_%d8%af%d8%a7%d8%af%d9%87_%d9%87%db%8c%d9%be\"><\/span>\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0647\u06cc\u067e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Heaps \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u062d\u0628\u0648\u0628\u200c\u062a\u0631\u06cc\u0646 \u0648 \u067e\u0631\u06a9\u0627\u0631\u0628\u0631\u062f\u062a\u0631\u06cc\u0646 \u0633\u0627\u062e\u062a\u0627\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u062f\u0631 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0627\u0633\u062a &#8211; \u0627\u0644\u0628\u062a\u0647 \u062f\u0631 \u0645\u0635\u0627\u062d\u0628\u0647\u200c\u0647\u0627\u06cc \u0645\u0647\u0646\u062f\u0633\u06cc \u0646\u0631\u0645\u200c\u0627\u0641\u0632\u0627\u0631 \u0628\u0633\u06cc\u0627\u0631 \u0645\u062d\u0628\u0648\u0628 \u0627\u0633\u062a.<\/p>\n<p>\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u067e\u0634\u062a\u0647 \u0647\u0627 \u0635\u062d\u0628\u062a \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u06a9\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u0646\u0635\u0631 (min-heap) \u0631\u0627 \u062f\u0646\u0628\u0627\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f\u060c \u0627\u0645\u0627 \u0622\u0646\u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0628\u0647 \u0647\u0645\u06cc\u0646 \u0631\u0627\u062d\u062a\u06cc \u0628\u0631\u0627\u06cc \u067e\u06cc\u06af\u06cc\u0631\u06cc \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0639\u0646\u0635\u0631 (max-heap) \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0634\u0648\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0632\u0628\u0627\u0646 \u0633\u0627\u062f\u0647\u060c \u0627\u0644\u0641 <em>min-heap<\/em> \u06cc\u06a9 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u062f\u0631\u062e\u062a \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0647\u0631 node \u0627\u0632 \u0647\u0645\u0647 \u0641\u0631\u0632\u0646\u062f\u0627\u0646\u0634 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0633\u062a  \u0627\u063a\u0644\u0628 \u0627\u0632 \u062f\u0631\u062e\u062a \u0628\u0627\u06cc\u0646\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.  Heaps \u062f\u0627\u0631\u0627\u06cc \u0633\u0647 \u0639\u0645\u0644\u06cc\u0627\u062a \u067e\u0634\u062a\u06cc\u0628\u0627\u0646\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a &#8211; <code>delete_minimum()<\/code>\u060c <code>get_minimum()<\/code>\u060c \u0648 <code>add()<\/code>.<\/p>\n<p>\u062a\u0648 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc <em>\u0641\u0642\u0637<\/em> \u0627\u0648\u0644\u06cc\u0646 \u0639\u0646\u0635\u0631 \u062f\u0631 \u067e\u0634\u062a\u0647 \u0631\u0627 \u062d\u0630\u0641 \u06a9\u0646\u06cc\u062f\u060c \u067e\u0633 \u0627\u0632 \u0622\u0646 &#8220;\u062f\u0648\u0628\u0627\u0631\u0647 \u0645\u0631\u062a\u0628 \u0645\u06cc \u0634\u0648\u062f&#8221;.  \u067e\u0634\u062a\u0647 \u0647\u0627 \u067e\u0633 \u0627\u0632 \u0627\u0641\u0632\u0648\u062f\u0646 \u06cc\u0627 \u062d\u0630\u0641 \u06cc\u06a9 \u0639\u0646\u0635\u0631\u060c \u062e\u0648\u062f \u0631\u0627 \u0645\u062c\u062f\u062f\u0627\u064b \u0645\u0631\u062a\u0628 \u0645\u06cc \u06a9\u0646\u0646\u062f \u062a\u0627 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u0646\u0635\u0631 \u0647\u0645\u06cc\u0634\u0647 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u0627\u0648\u0644 \u0642\u0631\u0627\u0631 \u06af\u06cc\u0631\u062f.<\/p>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f:<\/strong> \u0627\u06cc\u0646 \u0628\u0647 \u0647\u06cc\u0686 \u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u0646\u06cc\u0633\u062a \u06a9\u0647 heap \u0647\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0627\u0646\u062f.  \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a \u06a9\u0647 \u0647\u0631 node \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u0641\u0631\u0632\u0646\u062f\u0627\u0646\u0634 \u0628\u0631\u0627\u06cc \u062a\u0636\u0645\u06cc\u0646 \u0627\u06cc\u0646 \u0627\u0645\u0631 \u06a9\u0627\u0641\u06cc \u0646\u06cc\u0633\u062a <em>\u062a\u0648\u062f\u0647 \u06a9\u0627\u0645\u0644<\/em> \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0635\u0639\u0648\u062f\u06cc \u0627\u0633\u062a<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0647 \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/heap-sort-in-python-01.png\" alt=\"\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u067e\u0634\u062a\u0647 \u0627\u06ccpython-01.png\" title=\"\"><\/p>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645\u060c \u0645\u062b\u0627\u0644 \u0628\u0627\u0644\u0627 \u0628\u0627 \u062a\u0648\u0635\u06cc\u0641 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0631\u062f \u0627\u0645\u0627 \u0645\u0631\u062a\u0628 \u0646\u0634\u062f\u0647 \u0627\u0633\u062a.  \u0645\u0627 \u0628\u0647 \u062c\u0632\u0626\u06cc\u0627\u062a \u0627\u062c\u0631\u0627\u06cc heap \u0646\u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645 \u0632\u06cc\u0631\u0627 \u062a\u0645\u0631\u06a9\u0632 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0646\u06cc\u0633\u062a.  \u0645\u0632\u06cc\u062a \u0645\u0647\u0645 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0647\u067e \u06a9\u0647 \u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0646 \u062f\u0631 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0639\u062f\u06cc <em>\u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u0646\u0635\u0631 \u0647\u0645\u06cc\u0634\u0647 \u0627\u0648\u0644\u06cc\u0646 \u0639\u0646\u0635\u0631 \u062f\u0631 \u067e\u0634\u062a\u0647 \u0627\u0633\u062a<\/em>.<\/p>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f:<\/strong> \u0628\u0647 \u0644\u0637\u0641 \u0631\u0648\u0634 \u062f\u0633\u062a\u0647\u200c\u0628\u0646\u062f\u06cc \u0639\u0646\u0627\u0635\u0631 \u067e\u0633 \u0627\u0632 \u062d\u0630\u0641 \u06cc\u06a9 \u0639\u0646\u0635\u0631\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631\u06cc\u0646 \u0639\u0646\u0635\u0631 \u0628\u0639\u062f\u06cc \u06a9\u0647 \u0628\u0647 \u0645\u0648\u0642\u0639\u06cc\u062a \u0627\u0648\u0644 \u062d\u0631\u06a9\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u062b\u0627\u0628\u062a \u0646\u06af\u0647 \u0645\u06cc\u200c\u062f\u0627\u0631\u062f\u060c \u0632\u0645\u0627\u0646 \\(O(logn)\\) \u0637\u0648\u0644 \u0645\u06cc\u200c\u06a9\u0634\u062f \u06a9\u0647 \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a. \u0639\u0645\u0644.<\/p>\n<\/p><\/div><\/div><\/div>\n<h3 id=\"howtoimplementheapsortinpython\"><span class=\"ez-toc-section\" id=\"%d8%b1%d9%88%d8%b4_%d9%be%db%8c%d8%a7%d8%af%d9%87_%d8%b3%d8%a7%d8%b2%db%8c_%d9%85%d8%b1%d8%aa%d8%a8_%d8%b3%d8%a7%d8%b2%db%8c_%d9%87%db%8c%d9%be_%d8%af%d8%b1_%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86\"><\/span>\u0631\u0648\u0634 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4 id=\"sortingarrays\">\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627<\/h4>\n<p>\u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0648\u0634 \u0647\u0627\u06cc\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0648 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0634\u062a\u0647 \u0647\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0645\u062c\u0628\u0648\u0631 \u0646\u0628\u0627\u0634\u06cc\u0645 \u062e\u0648\u062f\u0645\u0627\u0646 \u0622\u0646\u0647\u0627 \u0631\u0627 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<ul>\n<li><code>heappush(list, item)<\/code>  &#8211; \u06cc\u06a9 \u0639\u0646\u0635\u0631 \u0631\u0627 \u0628\u0647 \u067e\u0634\u062a\u0647 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u067e\u0633 \u0627\u0632 \u0622\u0646 \u062f\u0648\u0628\u0627\u0631\u0647 \u0622\u0646 \u0631\u0627 \u0645\u0631\u062a\u0628 \u0645\u06cc \u06a9\u0646\u062f \u062a\u0627 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u0628\u0627\u0642\u06cc \u0628\u0645\u0627\u0646\u062f.  \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u06a9\u0627\u0631 \u0631\u0648\u062f \u0631\u0648\u06cc \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u062e\u0627\u0644\u06cc<\/li>\n<li><code>heappop(list)<\/code>  &#8211; \u0627\u0648\u0644\u06cc\u0646 (\u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646) \u0639\u0646\u0635\u0631 \u0631\u0627 \u067e\u0627\u067e \u0645\u06cc \u06a9\u0646\u062f (\u062d\u0630\u0641 \u0645\u06cc \u06a9\u0646\u062f) \u0648 \u0622\u0646 \u0639\u0646\u0635\u0631 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.  \u067e\u0634\u062a\u0647 \u067e\u0633 \u0627\u0632 \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0628\u0647 \u0635\u0648\u0631\u062a \u067e\u0634\u062a\u0647 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0646\u06cc\u0627\u0632\u06cc \u0628\u0647 \u062a\u0645\u0627\u0633 \u0646\u06cc\u0633\u062a <code>heapify()<\/code>.<\/li>\n<li><code>heapify(list)<\/code>  &#8211; \u0644\u06cc\u0633\u062a \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f.  \u0634\u0627\u06cc\u0627\u0646 \u0630\u06a9\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u062d\u062a\u06cc \u0627\u06af\u0631 \u0645\u0627 \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u0632\u06cc\u0631\u0627 \u0646\u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0635\u0644\u06cc \u062e\u0648\u062f \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u0645.<\/li>\n<\/ul>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u06a9\u0647 \u0627\u06cc\u0646 \u0631\u0627 \u0645\u06cc \u062f\u0627\u0646\u06cc\u0645\u060c \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc Heap Sort \u0646\u0633\u0628\u062a\u0627\u064b \u0633\u0627\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> heapq <span class=\"hljs-keyword\">import<\/span> heappop, heappush\n\n<span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">heap_sort<\/span>(<span class=\"hljs-params\">array<\/span>):<\/span>\n    heap = ()\n    <span class=\"hljs-keyword\">for<\/span> element <span class=\"hljs-keyword\">in<\/span> array:\n        heappush(heap, element)\n\n    ordered = ()\n\n    \n    <span class=\"hljs-keyword\">while<\/span> heap:\n        ordered.append(heappop(heap))\n\n    <span class=\"hljs-keyword\">return<\/span> ordered\n\narray = (<span class=\"hljs-number\">13<\/span>, <span class=\"hljs-number\">21<\/span>, <span class=\"hljs-number\">15<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">26<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">17<\/span>, <span class=\"hljs-number\">18<\/span>, <span class=\"hljs-number\">24<\/span>, <span class=\"hljs-number\">2<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(heap_sort(array))\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc:<\/p>\n<pre><code class=\"hljs\">(2, 4, 5, 13, 15, 17, 18, 21, 24, 26)\n<\/code><\/pre>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u0645\u060c \u0639\u0645\u0644\u06cc\u0627\u062a \u0633\u0646\u06af\u06cc\u0646 \u06a9\u0631\u062f\u0646 \u0628\u0627 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u067e\u0634\u062a\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f\u060c \u062a\u0646\u0647\u0627 \u06a9\u0627\u0631\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u062e\u0648\u062f \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0647 \u0648 \u0622\u0646\u0647\u0627 \u0631\u0627 \u06cc\u06a9\u06cc \u06cc\u06a9\u06cc \u062d\u0630\u0641 \u06a9\u0646\u06cc\u0645.  \u0627\u06cc\u0646 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0645\u0627\u0646\u0646\u062f \u06cc\u06a9 \u062f\u0633\u062a\u06af\u0627\u0647 \u0633\u06a9\u0647\u200c\u0634\u0645\u0627\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0633\u06a9\u0647\u200c\u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u0631\u0632\u0634\u0634\u0627\u0646 \u0645\u0631\u062a\u0628 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0639\u062f \u0627\u0632 \u0622\u0646 \u062e\u0627\u0631\u062c \u06a9\u0646\u06cc\u0645.<\/p>\n<h4 id=\"sortingcustomobjects\">\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0627\u0634\u06cc\u0627\u0621 \u0633\u0641\u0627\u0631\u0634\u06cc<\/h4>\n<p>\u0647\u0646\u06af\u0627\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u0644\u0627\u0633 \u0647\u0627\u06cc \u0633\u0641\u0627\u0631\u0634\u06cc \u0647\u0645\u0647 \u0686\u06cc\u0632 \u06a9\u0645\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631 \u0645\u06cc \u0634\u0648\u062f.  \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u062e\u0648\u062f \u062f\u0631 \u06a9\u0644\u0627\u0633\u200c\u0647\u0627\u060c \u062a\u0648\u0635\u06cc\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u0631\u0627 \u0646\u0627\u062f\u06cc\u062f\u0647 \u0646\u06af\u06cc\u0631\u06cc\u0645 \u0648 \u062f\u0631 \u0639\u0648\u0636 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u0628\u0647 \u062c\u0627\u06cc \u0622\u0646 \u06cc\u06a9 \u0645\u0642\u0627\u06cc\u0633\u0647\u200c\u06a9\u0646\u0646\u062f\u0647 \u062a\u0627\u0628\u0639 \u0644\u0627\u0645\u0628\u062f\u0627 \u0628\u06af\u06cc\u0631\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0627\u062c\u0631\u0627\u06cc \u0645\u0627 \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a \u0631\u0648\u06cc \u0631\u0648\u0634 \u0647\u0627\u06cc \u067e\u0634\u062a\u0647 \u062f\u0627\u062e\u0644\u06cc\u060c \u0645\u0627 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645.<\/p>\n<p>\u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u062a\u062f\u0647\u0627\u06cc \u0632\u06cc\u0631 \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ul>\n<li><code>heapq.nlargest(*n*, *iterable*, *key=None*)<\/code>  &#8211; \u0641\u0647\u0631\u0633\u062a\u06cc \u0631\u0627 \u0628\u0627 <em>n<\/em> \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0632 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 <code>iterable<\/code>.<\/li>\n<li><code>heapq.nsmallest(*n*, *iterable*, *key=None*)<\/code>  &#8211; \u0641\u0647\u0631\u0633\u062a\u06cc \u0631\u0627 \u0628\u0627 <em>n<\/em> \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0632 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 <code>iterable<\/code>.<\/li>\n<\/ul>\n<p>\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <code>n = len(array)<\/code> \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646\/\u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0645\u0627 \u062e\u0648\u062f \u0631\u0648\u0634 \u0647\u0627 \u0627\u0632 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u0627\u0633\u0627\u0633\u0627\u064b \u0645\u0639\u0627\u062f\u0644 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc <code>sorted()<\/code> \u0631\u0648\u0634.<\/p>\n<p>\u062a\u0646\u0647\u0627 \u0631\u0627\u0647 \u062d\u0644\u06cc \u06a9\u0647 \u0628\u0631\u0627\u06cc \u06a9\u0644\u0627\u0633\u200c\u0647\u0627\u06cc \u0633\u0641\u0627\u0631\u0634\u06cc \u0628\u0627\u0642\u06cc \u0645\u06cc\u200c\u0645\u0627\u0646\u062f\u060c \u0644\u063a\u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u0627\u0633\u062a.  \u0627\u06cc\u0646 \u0645\u062a\u0623\u0633\u0641\u0627\u0646\u0647 \u0645\u0627 \u0631\u0627 \u0645\u062d\u062f\u0648\u062f \u0645\u06cc \u06a9\u0646\u062f <em>\u0641\u0642\u0637 \u06cc\u06a9 \u0646\u0648\u0639 \u0645\u0642\u0627\u06cc\u0633\u0647 \u062f\u0631 \u0647\u0631 \u06a9\u0644\u0627\u0633<\/em>.  \u062f\u0631 \u0645\u062b\u0627\u0644 \u0645\u0627\u060c \u0645\u0627 \u0631\u0627 \u0628\u0647 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0645\u062d\u062f\u0648\u062f \u0645\u06cc \u06a9\u0646\u062f <code>Movie<\/code> \u0627\u0634\u06cc\u0627\u0621 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0633\u0627\u0644<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0628\u0647 \u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0646\u0634\u0627\u0646 \u062f\u0647\u06cc\u0645 \u0631\u0648\u06cc \u06a9\u0644\u0627\u0633 \u0647\u0627\u06cc \u0633\u0641\u0627\u0631\u0634\u06cc  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u062c\u0644\u0648 \u0628\u0631\u0648\u06cc\u0645 \u0648 \u0622\u0646 \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u0645 <code>Movie<\/code> \u06a9\u0644\u0627\u0633:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> heapq <span class=\"hljs-keyword\">import<\/span> heappop, heappush\n\n<span class=\"hljs-class\"><span class=\"hljs-keyword\">class<\/span> <span class=\"hljs-title\">Movie<\/span>:<\/span>\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__init__<\/span>(<span class=\"hljs-params\">self, title, year<\/span>):<\/span>\n        self.title = title\n        self.year = year\n\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__str__<\/span>(<span class=\"hljs-params\">self<\/span>):<\/span>\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-built_in\">str<\/span>.<span class=\"hljs-built_in\">format<\/span>(<span class=\"hljs-string\">\"Title: {}, Year: {}\"<\/span>, self.title, self.year)\n\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__lt__<\/span>(<span class=\"hljs-params\">self, other<\/span>):<\/span>\n        <span class=\"hljs-keyword\">return<\/span> self.year &lt; other.year\n\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__gt__<\/span>(<span class=\"hljs-params\">self, other<\/span>):<\/span>\n        <span class=\"hljs-keyword\">return<\/span> other.__lt__(self)\n\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__eq__<\/span>(<span class=\"hljs-params\">self, other<\/span>):<\/span>\n        <span class=\"hljs-keyword\">return<\/span> self.year == other.year\n\n    <span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">__ne__<\/span>(<span class=\"hljs-params\">self, other<\/span>):<\/span>\n        <span class=\"hljs-keyword\">return<\/span> <span class=\"hljs-keyword\">not<\/span> self.__eq__(other)\n<\/code><\/pre>\n<p>\u0648 \u0627\u06a9\u0646\u0648\u0646\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u06a9\u0645\u06cc \u062e\u0648\u062f \u0631\u0627 \u0627\u0635\u0644\u0627\u062d \u06a9\u0646\u06cc\u0645 <code>heap_sort()<\/code> \u062a\u0627\u0628\u0639:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-function\"><span class=\"hljs-keyword\">def<\/span> <span class=\"hljs-title\">heap_sort<\/span>(<span class=\"hljs-params\">array<\/span>):<\/span>\n    heap = ()\n    <span class=\"hljs-keyword\">for<\/span> element <span class=\"hljs-keyword\">in<\/span> array:\n        heappush(heap, element)\n\n    ordered = ()\n\n    <span class=\"hljs-keyword\">while<\/span> heap:\n        ordered.append(heappop(heap))\n\n    <span class=\"hljs-keyword\">return<\/span> ordered\n<\/code><\/pre>\n<p>\u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u0686\u0646\u062f \u0641\u06cc\u0644\u0645 \u0631\u0627 \u0646\u0645\u0648\u0646\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0622\u0646\u0647\u0627 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0642\u0631\u0627\u0631 \u062f\u0647\u06cc\u0645 \u0648 \u0633\u067e\u0633 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0645\u0631\u062a\u0628 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">movie1 = Movie(<span class=\"hljs-string\">\"Citizen Kane\"<\/span>, <span class=\"hljs-number\">1941<\/span>)\nmovie2 = Movie(<span class=\"hljs-string\">\"Back to the Future\"<\/span>, <span class=\"hljs-number\">1985<\/span>)\nmovie3 = Movie(<span class=\"hljs-string\">\"Forrest Gump\"<\/span>, <span class=\"hljs-number\">1994<\/span>)\nmovie4 = Movie(<span class=\"hljs-string\">\"The Silence of the Lambs\"<\/span>, <span class=\"hljs-number\">1991<\/span>);\nmovie5 = Movie(<span class=\"hljs-string\">\"Gia\"<\/span>, <span class=\"hljs-number\">1998<\/span>)\n\narray = (movie1, movie2, movie3, movie4, movie5)\n\n<span class=\"hljs-keyword\">for<\/span> movie <span class=\"hljs-keyword\">in<\/span> heap_sort(array):\n    <span class=\"hljs-built_in\">print<\/span>(movie)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc:<\/p>\n<pre><code class=\"hljs\">Title: Citizen Kane, Year: 1941\nTitle: Back to the Future, Year: 1985\nTitle: The Silence of the Lambs, Year: 1991\nTitle: Forrest Gump, Year: 1994\nTitle: Gia, Year: 1998\n<\/code><\/pre>\n<h3 id=\"comparisontoothersortingalgorithms\"><span class=\"ez-toc-section\" id=\"%d9%85%d9%82%d8%a7%db%8c%d8%b3%d9%87_%d8%a8%d8%a7_%d8%b3%d8%a7%db%8c%d8%b1_%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa%d9%85_%d9%87%d8%a7%db%8c_%d9%85%d8%b1%d8%aa%d8%a8_%d8%b3%d8%a7%d8%b2%db%8c\"><\/span>\u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u06cc\u06a9\u06cc \u0627\u0632 \u062f\u0644\u0627\u06cc\u0644 \u0627\u0635\u0644\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc Heap \u0647\u0646\u0648\u0632 \u0647\u0645 \u0627\u063a\u0644\u0628 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u062d\u062a\u06cc \u0627\u06af\u0631 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0633\u0631\u06cc\u0639 \u0628\u0647 \u062e\u0648\u0628\u06cc \u0627\u062c\u0631\u0627 \u0634\u062f\u0647 \u0627\u0632 \u0622\u0646 \u0628\u0647\u062a\u0631 \u0639\u0645\u0644 \u06a9\u0646\u062f\u060c \u0642\u0627\u0628\u0644\u06cc\u062a \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0622\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u0645\u0632\u06cc\u062a \u0627\u0635\u0644\u06cc Heap Sort \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u062d\u062f \u0628\u0627\u0644\u0627\u06cc\u06cc \\(O(nlogn)\\) \u0627\u0632 \u0646\u0638\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u0648 \u0646\u06af\u0631\u0627\u0646\u06cc \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0627\u0633\u062a.  \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u06af\u0627\u0646 \u0647\u0633\u062a\u0647 \u0644\u06cc\u0646\u0648\u06a9\u0633 \u062f\u0644\u0627\u06cc\u0644 \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0628\u0631 \u0631\u0648\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0633\u0631\u06cc\u0639 \u0628\u06cc\u0627\u0646 \u0645\u06cc \u06a9\u0646\u0646\u062f:<\/p>\n<blockquote>\n<p>\u0632\u0645\u0627\u0646 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc Heap Sort \\(O(nlogn)\\) \u0647\u0631 \u062f\u0648 \u0627\u0633\u062a \u0631\u0648\u06cc \u0645\u062a\u0648\u0633\u0637 \u200b\u200b\u0648 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a  \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 qsort \u062d\u062f\u0648\u062f 20\u066a \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0633\u062a \u0631\u0648\u06cc \u0628\u0647 \u0637\u0648\u0631 \u0645\u062a\u0648\u0633\u0637\u060c \u0627\u0632 \u0631\u0641\u062a\u0627\u0631 \u0642\u0627\u0628\u0644 \u0628\u0647\u0631\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc \\(O(n^2)\\) \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \u0648 \u0646\u06cc\u0627\u0632\u0647\u0627\u06cc \u062d\u0627\u0641\u0638\u0647 \u0627\u0636\u0627\u0641\u06cc \u0631\u0646\u062c \u0645\u06cc \u0628\u0631\u062f \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0633\u062a\u0647 \u06a9\u0645\u062a\u0631 \u0645\u0646\u0627\u0633\u0628 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/blockquote>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0633\u0631\u06cc\u0639 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a\u200c\u0647\u0627\u06cc \u0642\u0627\u0628\u0644 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0636\u0639\u06cc\u0641 \u0639\u0645\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0648 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062f\u0627\u0646\u0634 \u06a9\u0627\u0641\u06cc \u0627\u0632 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u062f\u0627\u062e\u0644\u06cc\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u062e\u0637\u0631 \u0627\u0645\u0646\u06cc\u062a\u06cc (\u0639\u0645\u062f\u062a\u0627 \u062d\u0645\u0644\u0627\u062a DDoS) \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u062f \u0632\u06cc\u0631\u0627 \u0631\u0641\u062a\u0627\u0631 \u0628\u062f \\(O(n^2)\\) \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0641\u0639\u0627\u0644 \u0634\u0648\u062f.<\/p>\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062f\u06cc\u06af\u0631\u06cc \u06a9\u0647 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0627\u063a\u0644\u0628 \u0628\u0627 \u0622\u0646 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0627\u062f\u063a\u0627\u0645 \u0627\u0633\u062a \u06a9\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0631\u062f.<\/p>\n<p>Merge Sort \u0645\u0632\u06cc\u062a \u0628\u0648\u062f\u0646 \u0631\u0627 \u062f\u0627\u0631\u062f <em>\u067e\u0627\u06cc\u062f\u0627\u0631<\/em> \u0648 \u0628\u0647 \u0637\u0648\u0631 \u0634\u0647\u0648\u062f\u06cc <em>\u0642\u0627\u0628\u0644 \u0645\u0648\u0627\u0632\u06cc \u0633\u0627\u0632\u06cc<\/em>\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0647\u06cc\u0686 \u06a9\u062f\u0627\u0645 \u0646\u06cc\u0633\u062a.<\/p>\n<p>\u0646\u06a9\u062a\u0647 \u062f\u06cc\u06af\u0631 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u062f\u0631 \u0628\u06cc\u0634\u062a\u0631 \u0645\u0648\u0627\u0631\u062f \u06a9\u0646\u062f\u062a\u0631 \u0627\u0632 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0627\u062f\u063a\u0627\u0645 \u0627\u0633\u062a\u060c \u062d\u062a\u06cc \u0627\u06af\u0631 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f \u0632\u06cc\u0631\u0627 \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0647\u067e \u0641\u0627\u06a9\u062a\u0648\u0631\u0647\u0627\u06cc \u062b\u0627\u0628\u062a \u0628\u0632\u0631\u06af\u200c\u062a\u0631\u06cc \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0645\u0631\u062a\u0628\u200c\u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0633\u06cc\u0627\u0631 \u0631\u0627\u062d\u062a\u200c\u062a\u0631 \u0627\u062c\u0631\u0627 \u0634\u0648\u062f <em>\u062f\u0631\u062c\u0627<\/em> \u0627\u0632 \u0627\u062f\u063a\u0627\u0645 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u0631\u062c\u06cc\u062d \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062d\u0627\u0641\u0638\u0647 \u0639\u0627\u0645\u0644 \u0645\u0647\u0645\u062a\u0631 \u0627\u0632 \u0633\u0631\u0639\u062a \u0627\u0633\u062a.<\/p>\n<h3 id=\"conclusion\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87\"><\/span>\u0646\u062a\u06cc\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u06cc\u062f\u06cc\u0645\u060c Heap Sort \u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u0633\u0627\u06cc\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f \u0648 \u0647\u0645\u0647 \u0645\u0646\u0638\u0648\u0631\u0647 \u0645\u062d\u0628\u0648\u0628 \u0646\u06cc\u0633\u062a\u060c \u0627\u0645\u0627 \u0631\u0641\u062a\u0627\u0631 \u0642\u0627\u0628\u0644 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u0646 (\u0628\u0647 \u063a\u06cc\u0631 \u0627\u0632 \u0646\u0627\u067e\u0627\u06cc\u062f\u0627\u0631 \u0628\u0648\u062f\u0646) \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0639\u0627\u0644\u06cc \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u062d\u0627\u0641\u0638\u0647 \u0648 \u0627\u0645\u0646\u06cc\u062a \u0645\u0647\u0645\u062a\u0631 \u0627\u0632 \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627\u06cc \u06a9\u0645\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0647\u0633\u062a\u0646\u062f \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0648 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0639\u0645\u0644\u06a9\u0631\u062f \u062f\u0627\u062e\u0644\u06cc \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0648\u0627\u0642\u0639\u0627\u064b \u0634\u0647\u0648\u062f\u06cc \u0627\u0633\u062a\u060c \u062a\u0646\u0647\u0627 \u06a9\u0627\u0631\u06cc \u06a9\u0647 \u0645\u0627 \u0627\u0633\u0627\u0633\u0627\u064b \u0628\u0627\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0645\u0648\u0627\u0631\u062f \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u067e\u0634\u062a\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0647 \u0648 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u06cc\u0631\u0648\u0646 \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645 &#8211; \u0645\u0634\u0627\u0628\u0647 \u06cc\u06a9 \u0634\u0645\u0627\u0631\u0646\u062f\u0647 \u0633\u06a9\u0647.<\/p>\n<\/div>\n<p><script>\n                        !function(f,b,e,v,n,t,s)\n                        {if(f.fbq)return;n=f.fbq=function(){n.callMethod?\n                        n.callMethod.apply(n,arguments):n.queue.push(arguments)};\n                        if(!f._fbq)f._fbq=n;n.push=n;n.loaded=!0;n.version='2.0';\n                        n.queue=();t=b.createElement(e);t.async=!0;\n                        t.src=v;s=b.getElementsByTagName(e)(0);\n                        s.parentNode.insertBefore(t,s)}(window, document,'script',\n                        'https:\/\/connect.facebook.net\/en_US\/fbevents.js');\n                        fbq('init', '525232124909042');\n                        fbq('track', 'PageView');\n                    <\/script>    (\u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627 \u0628\u0647 \u062a\u0631\u062c\u0645\u0647)# python<br \/>\n<br \/><br \/>\n<br \/>\u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 1403-01-18 21:00:03<br \/>\n<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;15935&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628&quot;,&quot;legend&quot;:&quot;0\\\/5 (0 \u0631\u0627\u06cc)&quot;,&quot;size&quot;:&quot;30&quot;,&quot;title&quot;:&quot;\u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u0647\u06cc\u067e \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} ({count} \u0631\u0627\u06cc)&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 24px;\">\n            <span class=\"kksr-muted\">\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p><span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 6<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u0645\u0639\u0631\u0641\u06cc \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u067e\u0634\u062a\u0647 \u0646\u0645\u0648\u0646\u0647 \u062f\u06cc\u06af\u0631\u06cc \u0627\u0632 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0631\u062a\u0628 \u0633\u0627\u0632\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a. \u0645\u0632\u06cc\u062a \u0627\u0635\u0644\u06cc \u0622\u0646 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u062f\u0648\u0646 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc\u060c \u0632\u0645\u0627\u0646 \u0627\u062c\u0631\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631 \u062e\u0648\u0628\u06cc \u062f\u0631 \u0628\u062f\u062a\u0631\u06cc\u0646 \u062d\u0627\u0644\u062a \\(O(nlogn)\\) \u062f\u0627\u0631\u062f. \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0627\u0632 \u0646\u0627\u0645 \u0622\u0646 \u067e\u06cc\u062f\u0627\u0633\u062a\u060c Heap Sort \u0628\u0647 \u0634\u062f\u062a \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a \u0631\u0648\u06cc \u0631\u0627 \u067e\u0634\u062a\u0647 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 &#8211; \u0627\u062c\u0631\u0627\u06cc \u0645\u0634\u062a\u0631\u06a9 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":15936,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1743,620],"tags":[],"class_list":["post-15935","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","category-programming"],"acf":[],"_links":{"self":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/15935","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/comments?post=15935"}],"version-history":[{"count":0,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/15935\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media\/15936"}],"wp:attachment":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media?parent=15935"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/categories?post=15935"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/tags?post=15935"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}